Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(214,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.214");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.h (of order \(3\), 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: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{3})\) |
Coefficient field: | 10.0.991381711347.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} - 2x^{9} + 9x^{8} - 8x^{7} + 40x^{6} - 36x^{5} + 90x^{4} - 3x^{3} + 36x^{2} - 9x + 9 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | no (minimal twist has level 63) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 373.1 | ||
Root | \(1.19343 + 2.06709i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 441.373 |
Dual form | 441.2.h.f.214.1 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.38687 | −1.68777 | −0.843886 | − | 0.536523i | \(-0.819737\pi\) | ||||
−0.843886 | + | 0.536523i | \(0.819737\pi\) | |||||||
\(3\) | 1.61557 | + | 0.624446i | 0.932750 | + | 0.360524i | ||||
\(4\) | 3.69714 | 1.84857 | ||||||||
\(5\) | −1.46043 | − | 2.52954i | −0.653125 | − | 1.13125i | −0.982360 | − | 0.186998i | \(-0.940124\pi\) |
0.329235 | − | 0.944248i | \(-0.393209\pi\) | |||||||
\(6\) | −3.85615 | − | 1.49047i | −1.57427 | − | 0.608483i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | −4.05086 | −1.43219 | ||||||||
\(9\) | 2.22013 | + | 2.01767i | 0.740044 | + | 0.672558i | ||||
\(10\) | 3.48586 | + | 6.03769i | 1.10233 | + | 1.90929i | ||||
\(11\) | 0.676857 | − | 1.17235i | 0.204080 | − | 0.353477i | −0.745759 | − | 0.666216i | \(-0.767913\pi\) |
0.949839 | + | 0.312738i | \(0.101246\pi\) | |||||||
\(12\) | 5.97299 | + | 2.30867i | 1.72425 | + | 0.666455i | ||||
\(13\) | 0.733001 | − | 1.26960i | 0.203298 | − | 0.352123i | −0.746291 | − | 0.665620i | \(-0.768167\pi\) |
0.949589 | + | 0.313497i | \(0.101501\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −0.779867 | − | 4.99862i | −0.201361 | − | 1.29064i | ||||
\(16\) | 2.27458 | 0.568645 | ||||||||
\(17\) | −1.65514 | − | 2.86678i | −0.401430 | − | 0.695297i | 0.592469 | − | 0.805593i | \(-0.298153\pi\) |
−0.993899 | + | 0.110297i | \(0.964820\pi\) | |||||||
\(18\) | −5.29917 | − | 4.81592i | −1.24903 | − | 1.13512i | ||||
\(19\) | 1.10329 | − | 1.91096i | 0.253113 | − | 0.438404i | −0.711268 | − | 0.702921i | \(-0.751879\pi\) |
0.964381 | + | 0.264516i | \(0.0852123\pi\) | |||||||
\(20\) | −5.39943 | − | 9.35209i | −1.20735 | − | 2.09119i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −1.61557 | + | 2.79825i | −0.344441 | + | 0.596589i | ||||
\(23\) | −1.31415 | − | 2.27617i | −0.274019 | − | 0.474614i | 0.695868 | − | 0.718169i | \(-0.255020\pi\) |
−0.969887 | + | 0.243555i | \(0.921686\pi\) | |||||||
\(24\) | −6.54444 | − | 2.52954i | −1.33588 | − | 0.516341i | ||||
\(25\) | −1.76573 | + | 3.05833i | −0.353146 | + | 0.611666i | ||||
\(26\) | −1.74958 | + | 3.03036i | −0.343121 | + | 0.594302i | ||||
\(27\) | 2.32685 | + | 4.64605i | 0.447803 | + | 0.894132i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 0.521720 | + | 0.903646i | 0.0968810 | + | 0.167803i | 0.910392 | − | 0.413747i | \(-0.135780\pi\) |
−0.813511 | + | 0.581549i | \(0.802447\pi\) | |||||||
\(30\) | 1.86144 | + | 11.9310i | 0.339851 | + | 2.17830i | ||||
\(31\) | −3.27458 | −0.588132 | −0.294066 | − | 0.955785i | \(-0.595009\pi\) | ||||
−0.294066 | + | 0.955785i | \(0.595009\pi\) | |||||||
\(32\) | 2.67259 | 0.472452 | ||||||||
\(33\) | 1.82558 | − | 1.47135i | 0.317793 | − | 0.256130i | ||||
\(34\) | 3.95060 | + | 6.84263i | 0.677521 | + | 1.17350i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 8.20815 | + | 7.45963i | 1.36803 | + | 1.24327i | ||||
\(37\) | 5.43773 | − | 9.41842i | 0.893957 | − | 1.54838i | 0.0588664 | − | 0.998266i | \(-0.481251\pi\) |
0.835090 | − | 0.550113i | \(-0.185415\pi\) | |||||||
\(38\) | −2.63342 | + | 4.56121i | −0.427197 | + | 0.739926i | ||||
\(39\) | 1.97701 | − | 1.59340i | 0.316575 | − | 0.255148i | ||||
\(40\) | 5.91601 | + | 10.2468i | 0.935403 | + | 1.62017i | ||||
\(41\) | 0.904289 | − | 1.56627i | 0.141226 | − | 0.244611i | −0.786732 | − | 0.617294i | \(-0.788229\pi\) |
0.927959 | + | 0.372683i | \(0.121562\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −2.17129 | − | 3.76078i | −0.331118 | − | 0.573514i | 0.651613 | − | 0.758551i | \(-0.274093\pi\) |
−0.982731 | + | 0.185038i | \(0.940759\pi\) | |||||||
\(44\) | 2.50244 | − | 4.33435i | 0.377257 | − | 0.653428i | ||||
\(45\) | 1.86144 | − | 8.56260i | 0.277487 | − | 1.27644i | ||||
\(46\) | 3.13670 | + | 5.43292i | 0.462481 | + | 0.801041i | ||||
\(47\) | −3.97914 | −0.580417 | −0.290209 | − | 0.956963i | \(-0.593725\pi\) | ||||
−0.290209 | + | 0.956963i | \(0.593725\pi\) | |||||||
\(48\) | 3.67474 | + | 1.42035i | 0.530404 | + | 0.205010i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 4.21456 | − | 7.29984i | 0.596029 | − | 1.03235i | ||||
\(51\) | −0.883838 | − | 5.66503i | −0.123762 | − | 0.793263i | ||||
\(52\) | 2.71001 | − | 4.69388i | 0.375811 | − | 0.650924i | ||||
\(53\) | −3.22743 | − | 5.59008i | −0.443322 | − | 0.767856i | 0.554612 | − | 0.832109i | \(-0.312867\pi\) |
−0.997934 | + | 0.0642533i | \(0.979533\pi\) | |||||||
\(54\) | −5.55389 | − | 11.0895i | −0.755789 | − | 1.50909i | ||||
\(55\) | −3.95402 | −0.533160 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 2.97574 | − | 2.39834i | 0.394146 | − | 0.317668i | ||||
\(58\) | −1.24528 | − | 2.15688i | −0.163513 | − | 0.283213i | ||||
\(59\) | 12.2140 | 1.59013 | 0.795064 | − | 0.606526i | \(-0.207437\pi\) | ||||
0.795064 | + | 0.606526i | \(0.207437\pi\) | |||||||
\(60\) | −2.88328 | − | 18.4806i | −0.372230 | − | 2.38584i | ||||
\(61\) | −0.559734 | −0.0716666 | −0.0358333 | − | 0.999358i | \(-0.511409\pi\) | ||||
−0.0358333 | + | 0.999358i | \(0.511409\pi\) | |||||||
\(62\) | 7.81600 | 0.992632 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −10.9283 | −1.36604 | ||||||||
\(65\) | −4.28200 | −0.531117 | ||||||||
\(66\) | −4.35742 | + | 3.51193i | −0.536362 | + | 0.432289i | ||||
\(67\) | 12.8118 | 1.56521 | 0.782603 | − | 0.622521i | \(-0.213891\pi\) | ||||
0.782603 | + | 0.622521i | \(0.213891\pi\) | |||||||
\(68\) | −6.11928 | − | 10.5989i | −0.742072 | − | 1.28531i | ||||
\(69\) | −0.701751 | − | 4.49793i | −0.0844809 | − | 0.541487i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 12.9177 | 1.53305 | 0.766525 | − | 0.642214i | \(-0.221984\pi\) | ||||
0.766525 | + | 0.642214i | \(0.221984\pi\) | |||||||
\(72\) | −8.99344 | − | 8.17331i | −1.05989 | − | 0.963234i | ||||
\(73\) | −5.22772 | − | 9.05467i | −0.611858 | − | 1.05977i | −0.990927 | − | 0.134401i | \(-0.957089\pi\) |
0.379069 | − | 0.925368i | \(-0.376244\pi\) | |||||||
\(74\) | −12.9791 | + | 22.4805i | −1.50879 | + | 2.61331i | ||||
\(75\) | −4.76242 | + | 3.83835i | −0.549917 | + | 0.443214i | ||||
\(76\) | 4.07903 | − | 7.06509i | 0.467897 | − | 0.810422i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −4.71886 | + | 3.80324i | −0.534306 | + | 0.430632i | ||||
\(79\) | 0.767677 | 0.0863704 | 0.0431852 | − | 0.999067i | \(-0.486249\pi\) | ||||
0.0431852 | + | 0.999067i | \(0.486249\pi\) | |||||||
\(80\) | −3.32187 | − | 5.75365i | −0.371397 | − | 0.643278i | ||||
\(81\) | 0.857983 | + | 8.95901i | 0.0953314 | + | 0.995446i | ||||
\(82\) | −2.15842 | + | 3.73849i | −0.238358 | + | 0.412847i | ||||
\(83\) | 0.983707 | + | 1.70383i | 0.107976 | + | 0.187020i | 0.914950 | − | 0.403567i | \(-0.132230\pi\) |
−0.806974 | + | 0.590587i | \(0.798896\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −4.83443 | + | 8.37348i | −0.524368 | + | 0.908232i | ||||
\(86\) | 5.18258 | + | 8.97649i | 0.558852 | + | 0.967960i | ||||
\(87\) | 0.278597 | + | 1.78569i | 0.0298687 | + | 0.191446i | ||||
\(88\) | −2.74185 | + | 4.74903i | −0.292283 | + | 0.506248i | ||||
\(89\) | −3.20356 | + | 5.54872i | −0.339576 | + | 0.588163i | −0.984353 | − | 0.176208i | \(-0.943617\pi\) |
0.644777 | + | 0.764371i | \(0.276950\pi\) | |||||||
\(90\) | −4.44301 | + | 20.4378i | −0.468335 | + | 2.15433i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | −4.85859 | − | 8.41533i | −0.506543 | − | 0.877359i | ||||
\(93\) | −5.29031 | − | 2.04480i | −0.548580 | − | 0.212036i | ||||
\(94\) | 9.49769 | 0.979612 | ||||||||
\(95\) | −6.44514 | −0.661258 | ||||||||
\(96\) | 4.31776 | + | 1.66889i | 0.440679 | + | 0.170330i | ||||
\(97\) | 4.14143 | + | 7.17316i | 0.420498 | + | 0.728324i | 0.995988 | − | 0.0894847i | \(-0.0285220\pi\) |
−0.575490 | + | 0.817809i | \(0.695189\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 3.86814 | − | 1.23710i | 0.388762 | − | 0.124333i | ||||
\(100\) | −6.52815 | + | 11.3071i | −0.652815 | + | 1.13071i | ||||
\(101\) | −8.11331 | + | 14.0527i | −0.807305 | + | 1.39829i | 0.107419 | + | 0.994214i | \(0.465741\pi\) |
−0.914724 | + | 0.404079i | \(0.867592\pi\) | |||||||
\(102\) | 2.10961 | + | 13.5217i | 0.208882 | + | 1.33885i | ||||
\(103\) | −1.11342 | − | 1.92849i | −0.109708 | − | 0.190020i | 0.805944 | − | 0.591992i | \(-0.201658\pi\) |
−0.915652 | + | 0.401972i | \(0.868325\pi\) | |||||||
\(104\) | −2.96929 | + | 5.14295i | −0.291162 | + | 0.504308i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 7.70346 | + | 13.3428i | 0.748226 | + | 1.29597i | ||||
\(107\) | −8.75403 | + | 15.1624i | −0.846284 | + | 1.46581i | 0.0382175 | + | 0.999269i | \(0.487832\pi\) |
−0.884501 | + | 0.466537i | \(0.845501\pi\) | |||||||
\(108\) | 8.60270 | + | 17.1771i | 0.827795 | + | 1.65287i | ||||
\(109\) | −7.79917 | − | 13.5086i | −0.747025 | − | 1.29388i | −0.949243 | − | 0.314544i | \(-0.898148\pi\) |
0.202218 | − | 0.979341i | \(-0.435185\pi\) | |||||||
\(110\) | 9.43773 | 0.899852 | ||||||||
\(111\) | 14.6663 | − | 11.8205i | 1.39207 | − | 1.12196i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −0.844555 | + | 1.46281i | −0.0794491 | + | 0.137610i | −0.903012 | − | 0.429615i | \(-0.858649\pi\) |
0.823563 | + | 0.567224i | \(0.191983\pi\) | |||||||
\(114\) | −7.10270 | + | 5.72453i | −0.665229 | + | 0.536151i | ||||
\(115\) | −3.83845 | + | 6.64839i | −0.357937 | + | 0.619966i | ||||
\(116\) | 1.92887 | + | 3.34091i | 0.179092 | + | 0.310196i | ||||
\(117\) | 4.18899 | − | 1.33971i | 0.387272 | − | 0.123857i | ||||
\(118\) | −29.1532 | −2.68377 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 3.15913 | + | 20.2487i | 0.288388 | + | 1.84844i | ||||
\(121\) | 4.58373 | + | 7.93925i | 0.416703 | + | 0.721750i | ||||
\(122\) | 1.33601 | 0.120957 | ||||||||
\(123\) | 2.43900 | − | 1.96575i | 0.219917 | − | 0.177245i | ||||
\(124\) | −12.1066 | −1.08720 | ||||||||
\(125\) | −4.28942 | −0.383657 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −3.96918 | −0.352208 | −0.176104 | − | 0.984372i | \(-0.556350\pi\) | ||||
−0.176104 | + | 0.984372i | \(0.556350\pi\) | |||||||
\(128\) | 20.7392 | 1.83310 | ||||||||
\(129\) | −1.15946 | − | 7.43166i | −0.102085 | − | 0.654321i | ||||
\(130\) | 10.2206 | 0.896403 | ||||||||
\(131\) | 2.66432 | + | 4.61473i | 0.232782 | + | 0.403191i | 0.958626 | − | 0.284669i | \(-0.0918837\pi\) |
−0.725844 | + | 0.687860i | \(0.758550\pi\) | |||||||
\(132\) | 6.74944 | − | 5.43981i | 0.587463 | − | 0.473475i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −30.5800 | −2.64171 | ||||||||
\(135\) | 8.35417 | − | 12.6711i | 0.719013 | − | 1.09056i | ||||
\(136\) | 6.70473 | + | 11.6129i | 0.574925 | + | 0.995800i | ||||
\(137\) | 3.74772 | − | 6.49124i | 0.320189 | − | 0.554584i | −0.660338 | − | 0.750969i | \(-0.729587\pi\) |
0.980527 | + | 0.196385i | \(0.0629202\pi\) | |||||||
\(138\) | 1.67499 | + | 10.7360i | 0.142584 | + | 0.913906i | ||||
\(139\) | −7.03285 | + | 12.1812i | −0.596518 | + | 1.03320i | 0.396812 | + | 0.917900i | \(0.370116\pi\) |
−0.993331 | + | 0.115300i | \(0.963217\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −6.42858 | − | 2.48476i | −0.541384 | − | 0.209255i | ||||
\(142\) | −30.8329 | −2.58744 | ||||||||
\(143\) | −0.992275 | − | 1.71867i | −0.0829782 | − | 0.143722i | ||||
\(144\) | 5.04987 | + | 4.58936i | 0.420823 | + | 0.382447i | ||||
\(145\) | 1.52388 | − | 2.63943i | 0.126551 | − | 0.219193i | ||||
\(146\) | 12.4779 | + | 21.6123i | 1.03268 | + | 1.78865i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 20.1041 | − | 34.8212i | 1.65254 | − | 2.86229i | ||||
\(149\) | −1.08986 | − | 1.88769i | −0.0892846 | − | 0.154645i | 0.817924 | − | 0.575326i | \(-0.195125\pi\) |
−0.907209 | + | 0.420680i | \(0.861791\pi\) | |||||||
\(150\) | 11.3673 | − | 9.16163i | 0.928135 | − | 0.748044i | ||||
\(151\) | −7.01387 | + | 12.1484i | −0.570781 | + | 0.988621i | 0.425705 | + | 0.904862i | \(0.360026\pi\) |
−0.996486 | + | 0.0837595i | \(0.973307\pi\) | |||||||
\(152\) | −4.46929 | + | 7.74103i | −0.362507 | + | 0.627880i | ||||
\(153\) | 2.10961 | − | 9.70416i | 0.170552 | − | 0.784535i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 4.78231 | + | 8.28320i | 0.384124 | + | 0.665322i | ||||
\(156\) | 7.30929 | − | 5.89103i | 0.585211 | − | 0.471660i | ||||
\(157\) | −2.96623 | −0.236731 | −0.118365 | − | 0.992970i | \(-0.537765\pi\) | ||||
−0.118365 | + | 0.992970i | \(0.537765\pi\) | |||||||
\(158\) | −1.83234 | −0.145773 | ||||||||
\(159\) | −1.72344 | − | 11.0465i | −0.136678 | − | 0.876046i | ||||
\(160\) | −3.90314 | − | 6.76043i | −0.308570 | − | 0.534459i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | −2.04789 | − | 21.3840i | −0.160898 | − | 1.68008i | ||||
\(163\) | −0.194278 | + | 0.336499i | −0.0152170 | + | 0.0263566i | −0.873534 | − | 0.486764i | \(-0.838177\pi\) |
0.858317 | + | 0.513120i | \(0.171511\pi\) | |||||||
\(164\) | 3.34329 | − | 5.79074i | 0.261067 | − | 0.452181i | ||||
\(165\) | −6.38800 | − | 2.46907i | −0.497305 | − | 0.192217i | ||||
\(166\) | −2.34798 | − | 4.06682i | −0.182239 | − | 0.315646i | ||||
\(167\) | −3.64889 | + | 6.32006i | −0.282360 | + | 0.489061i | −0.971965 | − | 0.235124i | \(-0.924450\pi\) |
0.689606 | + | 0.724185i | \(0.257784\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 5.42542 | + | 9.39710i | 0.417340 | + | 0.722854i | ||||
\(170\) | 11.5392 | − | 19.9864i | 0.885013 | − | 1.53289i | ||||
\(171\) | 6.30515 | − | 2.01650i | 0.482167 | − | 0.154206i | ||||
\(172\) | −8.02756 | − | 13.9041i | −0.612096 | − | 1.06018i | ||||
\(173\) | 4.05508 | 0.308302 | 0.154151 | − | 0.988047i | \(-0.450736\pi\) | ||||
0.154151 | + | 0.988047i | \(0.450736\pi\) | |||||||
\(174\) | −0.664975 | − | 4.26221i | −0.0504116 | − | 0.323117i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 1.53957 | − | 2.66661i | 0.116049 | − | 0.201003i | ||||
\(177\) | 19.7326 | + | 7.62699i | 1.48319 | + | 0.573280i | ||||
\(178\) | 7.64647 | − | 13.2441i | 0.573127 | − | 0.992685i | ||||
\(179\) | 5.29243 | + | 9.16675i | 0.395575 | + | 0.685155i | 0.993174 | − | 0.116639i | \(-0.0372121\pi\) |
−0.597600 | + | 0.801795i | \(0.703879\pi\) | |||||||
\(180\) | 6.88201 | − | 31.6572i | 0.512955 | − | 2.35959i | ||||
\(181\) | 19.6312 | 1.45917 | 0.729586 | − | 0.683889i | \(-0.239713\pi\) | ||||
0.729586 | + | 0.683889i | \(0.239713\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −0.904289 | − | 0.349524i | −0.0668470 | − | 0.0258375i | ||||
\(184\) | 5.32343 | + | 9.22045i | 0.392448 | + | 0.679740i | ||||
\(185\) | −31.7657 | −2.33546 | ||||||||
\(186\) | 12.6273 | + | 4.88067i | 0.925878 | + | 0.357868i | ||||
\(187\) | −4.48117 | −0.327695 | ||||||||
\(188\) | −14.7115 | −1.07294 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 15.3837 | 1.11605 | ||||||||
\(191\) | 8.28714 | 0.599637 | 0.299818 | − | 0.953996i | \(-0.403074\pi\) | ||||
0.299818 | + | 0.953996i | \(0.403074\pi\) | |||||||
\(192\) | −17.6554 | − | 6.82413i | −1.27417 | − | 0.492489i | ||||
\(193\) | −18.7848 | −1.35216 | −0.676082 | − | 0.736827i | \(-0.736323\pi\) | ||||
−0.676082 | + | 0.736827i | \(0.736323\pi\) | |||||||
\(194\) | −9.88504 | − | 17.1214i | −0.709705 | − | 1.22924i | ||||
\(195\) | −6.91787 | − | 2.67388i | −0.495399 | − | 0.191480i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 5.99634 | 0.427222 | 0.213611 | − | 0.976919i | \(-0.431478\pi\) | ||||
0.213611 | + | 0.976919i | \(0.431478\pi\) | |||||||
\(198\) | −9.23274 | + | 2.95279i | −0.656142 | + | 0.209846i | ||||
\(199\) | −7.20434 | − | 12.4783i | −0.510702 | − | 0.884562i | −0.999923 | − | 0.0124022i | \(-0.996052\pi\) |
0.489221 | − | 0.872160i | \(-0.337281\pi\) | |||||||
\(200\) | 7.15272 | − | 12.3889i | 0.505773 | − | 0.876025i | ||||
\(201\) | 20.6983 | + | 8.00026i | 1.45995 | + | 0.564295i | ||||
\(202\) | 19.3654 | − | 33.5419i | 1.36255 | − | 2.36000i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | −3.26768 | − | 20.9444i | −0.228783 | − | 1.46640i | ||||
\(205\) | −5.28261 | −0.368954 | ||||||||
\(206\) | 2.65758 | + | 4.60306i | 0.185162 | + | 0.320710i | ||||
\(207\) | 1.67499 | − | 7.70492i | 0.116420 | − | 0.535529i | ||||
\(208\) | 1.66727 | − | 2.88780i | 0.115604 | − | 0.200233i | ||||
\(209\) | −1.49354 | − | 2.58690i | −0.103311 | − | 0.178939i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −6.92418 | + | 11.9930i | −0.476680 | + | 0.825634i | −0.999643 | − | 0.0267212i | \(-0.991493\pi\) |
0.522963 | + | 0.852356i | \(0.324827\pi\) | |||||||
\(212\) | −11.9323 | − | 20.6673i | −0.819512 | − | 1.41944i | ||||
\(213\) | 20.8695 | + | 8.06642i | 1.42995 | + | 0.552702i | ||||
\(214\) | 20.8947 | − | 36.1907i | 1.42833 | − | 2.47395i | ||||
\(215\) | −6.34204 | + | 10.9847i | −0.432523 | + | 0.749153i | ||||
\(216\) | −9.42574 | − | 18.8205i | −0.641341 | − | 1.28057i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 18.6156 | + | 32.2431i | 1.26081 | + | 2.18378i | ||||
\(219\) | −2.79158 | − | 17.8929i | −0.188638 | − | 1.20909i | ||||
\(220\) | −14.6186 | −0.985584 | ||||||||
\(221\) | −4.85287 | −0.326439 | ||||||||
\(222\) | −35.0066 | + | 28.2141i | −2.34949 | + | 1.89361i | ||||
\(223\) | −2.33756 | − | 4.04878i | −0.156535 | − | 0.271126i | 0.777082 | − | 0.629399i | \(-0.216699\pi\) |
−0.933617 | + | 0.358273i | \(0.883366\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −10.0909 | + | 3.22724i | −0.672725 | + | 0.215149i | ||||
\(226\) | 2.01584 | − | 3.49154i | 0.134092 | − | 0.232254i | ||||
\(227\) | 9.85631 | − | 17.0716i | 0.654187 | − | 1.13308i | −0.327910 | − | 0.944709i | \(-0.606344\pi\) |
0.982097 | − | 0.188376i | \(-0.0603222\pi\) | |||||||
\(228\) | 11.0017 | − | 8.86702i | 0.728608 | − | 0.587232i | ||||
\(229\) | 14.0364 | + | 24.3118i | 0.927552 | + | 1.60657i | 0.787404 | + | 0.616437i | \(0.211425\pi\) |
0.140148 | + | 0.990131i | \(0.455242\pi\) | |||||||
\(230\) | 9.16188 | − | 15.8688i | 0.604116 | − | 1.04636i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −2.11342 | − | 3.66054i | −0.138753 | − | 0.240326i | ||||
\(233\) | −6.90113 | + | 11.9531i | −0.452108 | + | 0.783074i | −0.998517 | − | 0.0544448i | \(-0.982661\pi\) |
0.546409 | + | 0.837518i | \(0.315994\pi\) | |||||||
\(234\) | −9.99857 | + | 3.19772i | −0.653627 | + | 0.209042i | ||||
\(235\) | 5.81127 | + | 10.0654i | 0.379085 | + | 0.656595i | ||||
\(236\) | 45.1569 | 2.93947 | ||||||||
\(237\) | 1.24024 | + | 0.479373i | 0.0805619 | + | 0.0311386i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 5.53069 | − | 9.57944i | 0.357751 | − | 0.619642i | −0.629834 | − | 0.776730i | \(-0.716877\pi\) |
0.987585 | + | 0.157087i | \(0.0502104\pi\) | |||||||
\(240\) | −1.77387 | − | 11.3698i | −0.114503 | − | 0.733915i | ||||
\(241\) | −11.5849 | + | 20.0656i | −0.746247 | + | 1.29254i | 0.203362 | + | 0.979104i | \(0.434813\pi\) |
−0.949610 | + | 0.313435i | \(0.898520\pi\) | |||||||
\(242\) | −10.9408 | − | 18.9499i | −0.703299 | − | 1.21815i | ||||
\(243\) | −4.20829 | + | 15.0097i | −0.269962 | + | 0.962871i | ||||
\(244\) | −2.06942 | −0.132481 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −5.82157 | + | 4.69198i | −0.371169 | + | 0.299150i | ||||
\(247\) | −1.61743 | − | 2.80147i | −0.102915 | − | 0.178253i | ||||
\(248\) | 13.2649 | 0.842320 | ||||||||
\(249\) | 0.525297 | + | 3.36693i | 0.0332893 | + | 0.213371i | ||||
\(250\) | 10.2383 | 0.647525 | ||||||||
\(251\) | 7.78402 | 0.491323 | 0.245662 | − | 0.969356i | \(-0.420995\pi\) | ||||
0.245662 | + | 0.969356i | \(0.420995\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −3.55796 | −0.223687 | ||||||||
\(254\) | 9.47392 | 0.594447 | ||||||||
\(255\) | −13.0392 | + | 10.5091i | −0.816544 | + | 0.658106i | ||||
\(256\) | −27.6452 | −1.72782 | ||||||||
\(257\) | 5.18798 | + | 8.98585i | 0.323618 | + | 0.560522i | 0.981232 | − | 0.192833i | \(-0.0617676\pi\) |
−0.657614 | + | 0.753355i | \(0.728434\pi\) | |||||||
\(258\) | 2.76748 | + | 17.7384i | 0.172296 | + | 1.10434i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | −15.8312 | −0.981807 | ||||||||
\(261\) | −0.664975 | + | 3.05888i | −0.0411609 | + | 0.189340i | ||||
\(262\) | −6.35937 | − | 11.0148i | −0.392883 | − | 0.680494i | ||||
\(263\) | 9.56654 | − | 16.5697i | 0.589898 | − | 1.02173i | −0.404347 | − | 0.914605i | \(-0.632501\pi\) |
0.994245 | − | 0.107128i | \(-0.0341653\pi\) | |||||||
\(264\) | −7.39517 | + | 5.96025i | −0.455141 | + | 0.366828i | ||||
\(265\) | −9.42689 | + | 16.3279i | −0.579090 | + | 1.00301i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −8.64045 | + | 6.96390i | −0.528787 | + | 0.426184i | ||||
\(268\) | 47.3669 | 2.89340 | ||||||||
\(269\) | 4.41840 | + | 7.65290i | 0.269395 | + | 0.466605i | 0.968706 | − | 0.248212i | \(-0.0798430\pi\) |
−0.699311 | + | 0.714818i | \(0.746510\pi\) | |||||||
\(270\) | −19.9403 | + | 30.2443i | −1.21353 | + | 1.84061i | ||||
\(271\) | 9.16955 | − | 15.8821i | 0.557010 | − | 0.964770i | −0.440734 | − | 0.897638i | \(-0.645282\pi\) |
0.997744 | − | 0.0671321i | \(-0.0213849\pi\) | |||||||
\(272\) | −3.76474 | − | 6.52073i | −0.228271 | − | 0.395377i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −8.94531 | + | 15.4937i | −0.540406 | + | 0.936010i | ||||
\(275\) | 2.39029 | + | 4.14011i | 0.144140 | + | 0.249658i | ||||
\(276\) | −2.59447 | − | 16.6295i | −0.156169 | − | 1.00098i | ||||
\(277\) | −2.55241 | + | 4.42091i | −0.153360 | + | 0.265627i | −0.932460 | − | 0.361272i | \(-0.882343\pi\) |
0.779101 | + | 0.626899i | \(0.215676\pi\) | |||||||
\(278\) | 16.7865 | − | 29.0750i | 1.00679 | − | 1.74381i | ||||
\(279\) | −7.27001 | − | 6.60704i | −0.435244 | − | 0.395553i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −0.853180 | − | 1.47775i | −0.0508964 | − | 0.0881552i | 0.839455 | − | 0.543430i | \(-0.182875\pi\) |
−0.890351 | + | 0.455274i | \(0.849541\pi\) | |||||||
\(282\) | 15.3442 | + | 5.93080i | 0.913733 | + | 0.353174i | ||||
\(283\) | 12.4883 | 0.742352 | 0.371176 | − | 0.928562i | \(-0.378955\pi\) | ||||
0.371176 | + | 0.928562i | \(0.378955\pi\) | |||||||
\(284\) | 47.7586 | 2.83395 | ||||||||
\(285\) | −10.4126 | − | 4.02465i | −0.616788 | − | 0.238400i | ||||
\(286\) | 2.36843 | + | 4.10224i | 0.140048 | + | 0.242571i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 5.93351 | + | 5.39242i | 0.349635 | + | 0.317751i | ||||
\(289\) | 3.02104 | − | 5.23260i | 0.177708 | − | 0.307800i | ||||
\(290\) | −3.63729 | + | 6.29997i | −0.213589 | + | 0.369947i | ||||
\(291\) | 2.21151 | + | 14.1748i | 0.129641 | + | 0.830944i | ||||
\(292\) | −19.3276 | − | 33.4764i | −1.13106 | − | 1.95906i | ||||
\(293\) | 2.60202 | − | 4.50684i | 0.152012 | − | 0.263292i | −0.779955 | − | 0.625835i | \(-0.784758\pi\) |
0.931967 | + | 0.362543i | \(0.118091\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −17.8377 | − | 30.8959i | −1.03855 | − | 1.79883i | ||||
\(296\) | −22.0275 | + | 38.1527i | −1.28032 | + | 2.21758i | ||||
\(297\) | 7.02175 | + | 0.416825i | 0.407443 | + | 0.0241866i | ||||
\(298\) | 2.60135 | + | 4.50566i | 0.150692 | + | 0.261006i | ||||
\(299\) | −3.85309 | −0.222830 | ||||||||
\(300\) | −17.6074 | + | 14.1909i | −1.01656 | + | 0.819313i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 16.7412 | − | 28.9966i | 0.963347 | − | 1.66857i | ||||
\(303\) | −21.8828 | + | 17.6367i | −1.25713 | + | 1.01320i | ||||
\(304\) | 2.50953 | − | 4.34663i | 0.143931 | − | 0.249297i | ||||
\(305\) | 0.817453 | + | 1.41587i | 0.0468072 | + | 0.0810725i | ||||
\(306\) | −5.03535 | + | 23.1626i | −0.287852 | + | 1.32412i | ||||
\(307\) | −5.00136 | −0.285442 | −0.142721 | − | 0.989763i | \(-0.545585\pi\) | ||||
−0.142721 | + | 0.989763i | \(0.545585\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −0.594560 | − | 3.81088i | −0.0338234 | − | 0.216793i | ||||
\(310\) | −11.4147 | − | 19.7709i | −0.648313 | − | 1.12291i | ||||
\(311\) | 32.3968 | 1.83706 | 0.918528 | − | 0.395355i | \(-0.129379\pi\) | ||||
0.918528 | + | 0.395355i | \(0.129379\pi\) | |||||||
\(312\) | −8.00859 | + | 6.45464i | −0.453397 | + | 0.365422i | ||||
\(313\) | −1.51907 | −0.0858629 | −0.0429315 | − | 0.999078i | \(-0.513670\pi\) | ||||
−0.0429315 | + | 0.999078i | \(0.513670\pi\) | |||||||
\(314\) | 7.08000 | 0.399548 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 2.83821 | 0.159662 | ||||||||
\(317\) | −21.5089 | −1.20806 | −0.604029 | − | 0.796962i | \(-0.706439\pi\) | ||||
−0.604029 | + | 0.796962i | \(0.706439\pi\) | |||||||
\(318\) | 4.11362 | + | 26.3666i | 0.230680 | + | 1.47856i | ||||
\(319\) | 1.41252 | 0.0790860 | ||||||||
\(320\) | 15.9600 | + | 27.6436i | 0.892193 | + | 1.54532i | ||||
\(321\) | −23.6109 | + | 19.0295i | −1.31783 | + | 1.06213i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −7.30441 | −0.406428 | ||||||||
\(324\) | 3.17208 | + | 33.1227i | 0.176227 | + | 1.84015i | ||||
\(325\) | 2.58856 | + | 4.48352i | 0.143588 | + | 0.248701i | ||||
\(326\) | 0.463715 | − | 0.803178i | 0.0256828 | − | 0.0444839i | ||||
\(327\) | −4.16473 | − | 26.6942i | −0.230310 | − | 1.47619i | ||||
\(328\) | −3.66315 | + | 6.34476i | −0.202263 | + | 0.350330i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 15.2473 | + | 5.89336i | 0.839337 | + | 0.324419i | ||||
\(331\) | 19.4780 | 1.07061 | 0.535305 | − | 0.844659i | \(-0.320197\pi\) | ||||
0.535305 | + | 0.844659i | \(0.320197\pi\) | |||||||
\(332\) | 3.63691 | + | 6.29931i | 0.199601 | + | 0.345719i | ||||
\(333\) | 31.0758 | − | 9.93858i | 1.70294 | − | 0.544631i | ||||
\(334\) | 8.70942 | − | 15.0852i | 0.476558 | − | 0.825423i | ||||
\(335\) | −18.7107 | − | 32.4079i | −1.02228 | − | 1.77063i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 4.84742 | − | 8.39598i | 0.264056 | − | 0.457358i | −0.703260 | − | 0.710933i | \(-0.748273\pi\) |
0.967316 | + | 0.253575i | \(0.0816063\pi\) | |||||||
\(338\) | −12.9498 | − | 22.4296i | −0.704374 | − | 1.22001i | ||||
\(339\) | −2.27789 | + | 1.83590i | −0.123718 | + | 0.0997122i | ||||
\(340\) | −17.8736 | + | 30.9580i | −0.969332 | + | 1.67893i | ||||
\(341\) | −2.21642 | + | 3.83896i | −0.120026 | + | 0.207891i | ||||
\(342\) | −15.0496 | + | 4.81312i | −0.813788 | + | 0.260264i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 8.79558 | + | 15.2344i | 0.474226 | + | 0.821383i | ||||
\(345\) | −10.3528 | + | 8.34403i | −0.557379 | + | 0.449228i | ||||
\(346\) | −9.67895 | −0.520344 | ||||||||
\(347\) | 2.02604 | 0.108763 | 0.0543817 | − | 0.998520i | \(-0.482681\pi\) | ||||
0.0543817 | + | 0.998520i | \(0.482681\pi\) | |||||||
\(348\) | 1.03001 | + | 6.60195i | 0.0552145 | + | 0.353902i | ||||
\(349\) | −8.14577 | − | 14.1089i | −0.436033 | − | 0.755231i | 0.561346 | − | 0.827581i | \(-0.310284\pi\) |
−0.997379 | + | 0.0723497i | \(0.976950\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 7.60419 | + | 0.451400i | 0.405882 | + | 0.0240939i | ||||
\(352\) | 1.80896 | − | 3.13321i | 0.0964180 | − | 0.167001i | ||||
\(353\) | 8.53072 | − | 14.7756i | 0.454045 | − | 0.786428i | −0.544588 | − | 0.838704i | \(-0.683314\pi\) |
0.998633 | + | 0.0522753i | \(0.0166473\pi\) | |||||||
\(354\) | −47.0991 | − | 18.2046i | −2.50329 | − | 0.967565i | ||||
\(355\) | −18.8655 | − | 32.6759i | −1.00127 | − | 1.73426i | ||||
\(356\) | −11.8440 | + | 20.5144i | −0.627731 | + | 1.08726i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −12.6323 | − | 21.8798i | −0.667639 | − | 1.15639i | ||||
\(359\) | 1.48363 | − | 2.56972i | 0.0783030 | − | 0.135625i | −0.824215 | − | 0.566277i | \(-0.808383\pi\) |
0.902518 | + | 0.430652i | \(0.141717\pi\) | |||||||
\(360\) | −7.54043 | + | 34.6859i | −0.397415 | + | 1.82811i | ||||
\(361\) | 7.06549 | + | 12.2378i | 0.371868 | + | 0.644094i | ||||
\(362\) | −46.8570 | −2.46275 | ||||||||
\(363\) | 2.44770 | + | 15.6887i | 0.128471 | + | 0.823444i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −15.2695 | + | 26.4475i | −0.799240 | + | 1.38432i | ||||
\(366\) | 2.15842 | + | 0.834267i | 0.112822 | + | 0.0436078i | ||||
\(367\) | −5.07874 | + | 8.79664i | −0.265108 | + | 0.459181i | −0.967592 | − | 0.252519i | \(-0.918741\pi\) |
0.702484 | + | 0.711700i | \(0.252074\pi\) | |||||||
\(368\) | −2.98914 | − | 5.17733i | −0.155819 | − | 0.269887i | ||||
\(369\) | 5.16787 | − | 1.65278i | 0.269029 | − | 0.0860402i | ||||
\(370\) | 75.8207 | 3.94173 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | −19.5591 | − | 7.55992i | −1.01409 | − | 0.391964i | ||||
\(373\) | 12.7423 | + | 22.0703i | 0.659771 | + | 1.14276i | 0.980675 | + | 0.195645i | \(0.0626799\pi\) |
−0.320904 | + | 0.947112i | \(0.603987\pi\) | |||||||
\(374\) | 10.6960 | 0.553075 | ||||||||
\(375\) | −6.92985 | − | 2.67851i | −0.357856 | − | 0.138318i | ||||
\(376\) | 16.1189 | 0.831271 | ||||||||
\(377\) | 1.52969 | 0.0787829 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 9.85497 | 0.506216 | 0.253108 | − | 0.967438i | \(-0.418547\pi\) | ||||
0.253108 | + | 0.967438i | \(0.418547\pi\) | |||||||
\(380\) | −23.8286 | −1.22238 | ||||||||
\(381\) | −6.41250 | − | 2.47854i | −0.328522 | − | 0.126980i | ||||
\(382\) | −19.7803 | −1.01205 | ||||||||
\(383\) | −13.6563 | − | 23.6535i | −0.697806 | − | 1.20864i | −0.969225 | − | 0.246175i | \(-0.920826\pi\) |
0.271419 | − | 0.962461i | \(-0.412507\pi\) | |||||||
\(384\) | 33.5056 | + | 12.9505i | 1.70983 | + | 0.660878i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 44.8370 | 2.28214 | ||||||||
\(387\) | 2.76748 | − | 12.7304i | 0.140679 | − | 0.647122i | ||||
\(388\) | 15.3114 | + | 26.5202i | 0.777321 | + | 1.34636i | ||||
\(389\) | −2.09223 | + | 3.62385i | −0.106080 | + | 0.183736i | −0.914179 | − | 0.405311i | \(-0.867163\pi\) |
0.808099 | + | 0.589047i | \(0.200497\pi\) | |||||||
\(390\) | 16.5120 | + | 6.38220i | 0.836120 | + | 0.323175i | ||||
\(391\) | −4.35019 | + | 7.53475i | −0.219999 | + | 0.381049i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 1.42274 | + | 9.11914i | 0.0717676 | + | 0.460000i | ||||
\(394\) | −14.3125 | −0.721053 | ||||||||
\(395\) | −1.12114 | − | 1.94187i | −0.0564107 | − | 0.0977062i | ||||
\(396\) | 14.3011 | − | 4.57373i | 0.718655 | − | 0.229839i | ||||
\(397\) | −15.3354 | + | 26.5618i | −0.769664 | + | 1.33310i | 0.168082 | + | 0.985773i | \(0.446243\pi\) |
−0.937745 | + | 0.347323i | \(0.887091\pi\) | |||||||
\(398\) | 17.1958 | + | 29.7840i | 0.861948 | + | 1.49294i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −4.01629 | + | 6.95642i | −0.200815 | + | 0.347821i | ||||
\(401\) | 3.42402 | + | 5.93057i | 0.170987 | + | 0.296158i | 0.938765 | − | 0.344557i | \(-0.111971\pi\) |
−0.767778 | + | 0.640716i | \(0.778638\pi\) | |||||||
\(402\) | −49.4042 | − | 19.0956i | −2.46406 | − | 0.952401i | ||||
\(403\) | −2.40027 | + | 4.15739i | −0.119566 | + | 0.207095i | ||||
\(404\) | −29.9961 | + | 51.9547i | −1.49236 | + | 2.58485i | ||||
\(405\) | 21.4092 | − | 15.2543i | 1.06383 | − | 0.757994i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −7.36113 | − | 12.7499i | −0.364878 | − | 0.631987i | ||||
\(408\) | 3.58030 | + | 22.9482i | 0.177251 | + | 1.13611i | ||||
\(409\) | 18.2698 | 0.903384 | 0.451692 | − | 0.892174i | \(-0.350821\pi\) | ||||
0.451692 | + | 0.892174i | \(0.350821\pi\) | |||||||
\(410\) | 12.6089 | 0.622709 | ||||||||
\(411\) | 10.1081 | − | 8.14680i | 0.498597 | − | 0.401852i | ||||
\(412\) | −4.11646 | − | 7.12991i | −0.202803 | − | 0.351265i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | −3.99798 | + | 18.3906i | −0.196490 | + | 0.903851i | ||||
\(415\) | 2.87328 | − | 4.97666i | 0.141044 | − | 0.244295i | ||||
\(416\) | 1.95901 | − | 3.39311i | 0.0960485 | − | 0.166361i | ||||
\(417\) | −18.9686 | + | 15.2880i | −0.928896 | + | 0.748658i | ||||
\(418\) | 3.56490 | + | 6.17458i | 0.174365 | + | 0.302009i | ||||
\(419\) | −11.2310 | + | 19.4526i | −0.548669 | + | 0.950322i | 0.449698 | + | 0.893181i | \(0.351532\pi\) |
−0.998366 | + | 0.0571410i | \(0.981802\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 10.4177 | + | 18.0440i | 0.507728 | + | 0.879411i | 0.999960 | + | 0.00894684i | \(0.00284791\pi\) |
−0.492232 | + | 0.870464i | \(0.663819\pi\) | |||||||
\(422\) | 16.5271 | − | 28.6258i | 0.804527 | − | 1.39348i | ||||
\(423\) | −8.83422 | − | 8.02861i | −0.429535 | − | 0.390364i | ||||
\(424\) | 13.0739 | + | 22.6446i | 0.634923 | + | 1.09972i | ||||
\(425\) | 11.6901 | 0.567053 | ||||||||
\(426\) | −49.8127 | − | 19.2535i | −2.41343 | − | 0.932834i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | −32.3649 | + | 56.0577i | −1.56442 | + | 2.70965i | ||||
\(429\) | −0.529872 | − | 3.39626i | −0.0255825 | − | 0.163973i | ||||
\(430\) | 15.1376 | − | 26.2191i | 0.730001 | − | 1.26440i | ||||
\(431\) | −10.1213 | − | 17.5307i | −0.487527 | − | 0.844422i | 0.512370 | − | 0.858765i | \(-0.328768\pi\) |
−0.999897 | + | 0.0143427i | \(0.995434\pi\) | |||||||
\(432\) | 5.29261 | + | 10.5678i | 0.254641 | + | 0.508444i | ||||
\(433\) | 21.6764 | 1.04170 | 0.520851 | − | 0.853648i | \(-0.325615\pi\) | ||||
0.520851 | + | 0.853648i | \(0.325615\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 4.11011 | − | 3.31260i | 0.197065 | − | 0.158827i | ||||
\(436\) | −28.8346 | − | 49.9431i | −1.38093 | − | 2.39184i | ||||
\(437\) | −5.79956 | −0.277431 | ||||||||
\(438\) | 6.66315 | + | 42.7080i | 0.318377 | + | 2.04067i | ||||
\(439\) | 35.4781 | 1.69328 | 0.846639 | − | 0.532168i | \(-0.178623\pi\) | ||||
0.846639 | + | 0.532168i | \(0.178623\pi\) | |||||||
\(440\) | 16.0172 | 0.763589 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 11.5832 | 0.550955 | ||||||||
\(443\) | −19.2063 | −0.912517 | −0.456258 | − | 0.889847i | \(-0.650811\pi\) | ||||
−0.456258 | + | 0.889847i | \(0.650811\pi\) | |||||||
\(444\) | 54.2235 | − | 43.7023i | 2.57333 | − | 2.07402i | ||||
\(445\) | 18.7143 | 0.887144 | ||||||||
\(446\) | 5.57946 | + | 9.66391i | 0.264195 | + | 0.457599i | ||||
\(447\) | −0.581980 | − | 3.73025i | −0.0275267 | − | 0.176435i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −29.6082 | −1.39730 | −0.698648 | − | 0.715465i | \(-0.746215\pi\) | ||||
−0.698648 | + | 0.715465i | \(0.746215\pi\) | |||||||
\(450\) | 24.0856 | − | 7.70300i | 1.13541 | − | 0.363123i | ||||
\(451\) | −1.22415 | − | 2.12029i | −0.0576429 | − | 0.0998405i | ||||
\(452\) | −3.12244 | + | 5.40823i | −0.146867 | + | 0.254382i | ||||
\(453\) | −18.9174 | + | 15.2468i | −0.888818 | + | 0.716356i | ||||
\(454\) | −23.5257 | + | 40.7478i | −1.10412 | + | 1.91239i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −12.0543 | + | 9.71534i | −0.564494 | + | 0.454963i | ||||
\(457\) | −9.56196 | −0.447290 | −0.223645 | − | 0.974671i | \(-0.571796\pi\) | ||||
−0.223645 | + | 0.974671i | \(0.571796\pi\) | |||||||
\(458\) | −33.5031 | − | 58.0290i | −1.56550 | − | 2.71152i | ||||
\(459\) | 9.46795 | − | 14.3604i | 0.441926 | − | 0.670287i | ||||
\(460\) | −14.1913 | + | 24.5800i | −0.661673 | + | 1.14605i | ||||
\(461\) | −10.9187 | − | 18.9118i | −0.508536 | − | 0.880809i | −0.999951 | − | 0.00988416i | \(-0.996854\pi\) |
0.491416 | − | 0.870925i | \(-0.336480\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 13.0744 | − | 22.6456i | 0.607621 | − | 1.05243i | −0.384010 | − | 0.923329i | \(-0.625457\pi\) |
0.991631 | − | 0.129102i | \(-0.0412094\pi\) | |||||||
\(464\) | 1.18670 | + | 2.05542i | 0.0550909 | + | 0.0954203i | ||||
\(465\) | 2.55374 | + | 16.3684i | 0.118427 | + | 0.759065i | ||||
\(466\) | 16.4721 | − | 28.5305i | 0.763054 | − | 1.32165i | ||||
\(467\) | 17.4764 | − | 30.2699i | 0.808709 | − | 1.40073i | −0.105049 | − | 0.994467i | \(-0.533500\pi\) |
0.913758 | − | 0.406258i | \(-0.133167\pi\) | |||||||
\(468\) | 15.4873 | − | 4.95311i | 0.715901 | − | 0.228958i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | −13.8707 | − | 24.0248i | −0.639809 | − | 1.10818i | ||||
\(471\) | −4.79215 | − | 1.85225i | −0.220811 | − | 0.0853473i | ||||
\(472\) | −49.4772 | −2.27737 | ||||||||
\(473\) | −5.87861 | −0.270299 | ||||||||
\(474\) | −2.96028 | − | 1.14420i | −0.135970 | − | 0.0525549i | ||||
\(475\) | 3.89623 | + | 6.74848i | 0.178771 | + | 0.309641i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 4.11362 | − | 18.9226i | 0.188350 | − | 0.866407i | ||||
\(478\) | −13.2010 | + | 22.8649i | −0.603801 | + | 1.04581i | ||||
\(479\) | −14.9054 | + | 25.8170i | −0.681047 | + | 1.17961i | 0.293615 | + | 0.955924i | \(0.405142\pi\) |
−0.974662 | + | 0.223684i | \(0.928192\pi\) | |||||||
\(480\) | −2.08426 | − | 13.3593i | −0.0951332 | − | 0.609764i | ||||
\(481\) | −7.97172 | − | 13.8074i | −0.363479 | − | 0.629565i | ||||
\(482\) | 27.6516 | − | 47.8939i | 1.25949 | − | 2.18151i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 16.9467 | + | 29.3525i | 0.770304 | + | 1.33421i | ||||
\(485\) | 12.0965 | − | 20.9518i | 0.549276 | − | 0.951374i | ||||
\(486\) | 10.0446 | − | 35.8261i | 0.455634 | − | 1.62511i | ||||
\(487\) | −11.2253 | − | 19.4428i | −0.508667 | − | 0.881037i | −0.999950 | − | 0.0100365i | \(-0.996805\pi\) |
0.491283 | − | 0.871000i | \(-0.336528\pi\) | |||||||
\(488\) | 2.26740 | 0.102640 | ||||||||
\(489\) | −0.523994 | + | 0.422321i | −0.0236958 | + | 0.0190980i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 17.5222 | − | 30.3494i | 0.790767 | − | 1.36965i | −0.134726 | − | 0.990883i | \(-0.543016\pi\) |
0.925493 | − | 0.378765i | \(-0.123651\pi\) | |||||||
\(492\) | 9.01732 | − | 7.26764i | 0.406532 | − | 0.327651i | ||||
\(493\) | 1.72704 | − | 2.99132i | 0.0777819 | − | 0.134722i | ||||
\(494\) | 3.86060 | + | 6.68675i | 0.173696 | + | 0.300851i | ||||
\(495\) | −8.77845 | − | 7.97792i | −0.394562 | − | 0.358581i | ||||
\(496\) | −7.44830 | −0.334438 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | −1.25381 | − | 8.03642i | −0.0561848 | − | 0.360121i | ||||
\(499\) | 4.46760 | + | 7.73811i | 0.199997 | + | 0.346405i | 0.948527 | − | 0.316696i | \(-0.102573\pi\) |
−0.748530 | + | 0.663101i | \(0.769240\pi\) | |||||||
\(500\) | −15.8586 | −0.709217 | ||||||||
\(501\) | −9.84158 | + | 7.93197i | −0.439689 | + | 0.354374i | ||||
\(502\) | −18.5794 | −0.829241 | ||||||||
\(503\) | 12.6403 | 0.563603 | 0.281802 | − | 0.959473i | \(-0.409068\pi\) | ||||
0.281802 | + | 0.959473i | \(0.409068\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 47.3958 | 2.10909 | ||||||||
\(506\) | 8.49239 | 0.377533 | ||||||||
\(507\) | 2.89716 | + | 18.5696i | 0.128667 | + | 0.824703i | ||||
\(508\) | −14.6746 | −0.651082 | ||||||||
\(509\) | −14.0555 | − | 24.3449i | −0.623000 | − | 1.07907i | −0.988924 | − | 0.148423i | \(-0.952580\pi\) |
0.365924 | − | 0.930645i | \(-0.380753\pi\) | |||||||
\(510\) | 31.1228 | − | 25.0839i | 1.37814 | − | 1.11073i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 24.5070 | 1.08307 | ||||||||
\(513\) | 11.4456 | + | 0.679434i | 0.505336 | + | 0.0299978i | ||||
\(514\) | −12.3830 | − | 21.4480i | −0.546192 | − | 0.946033i | ||||
\(515\) | −3.25214 | + | 5.63287i | −0.143306 | + | 0.248214i | ||||
\(516\) | −4.28669 | − | 27.4759i | −0.188711 | − | 1.20956i | ||||
\(517\) | −2.69331 | + | 4.66495i | −0.118452 | + | 0.205164i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 6.55127 | + | 2.53218i | 0.287569 | + | 0.111150i | ||||
\(520\) | 17.3458 | 0.760662 | ||||||||
\(521\) | −4.23768 | − | 7.33988i | −0.185656 | − | 0.321566i | 0.758141 | − | 0.652090i | \(-0.226108\pi\) |
−0.943797 | + | 0.330524i | \(0.892774\pi\) | |||||||
\(522\) | 1.58721 | − | 7.30114i | 0.0694702 | − | 0.319562i | ||||
\(523\) | −16.7236 | + | 28.9662i | −0.731273 | + | 1.26660i | 0.225066 | + | 0.974344i | \(0.427740\pi\) |
−0.956339 | + | 0.292259i | \(0.905593\pi\) | |||||||
\(524\) | 9.85035 | + | 17.0613i | 0.430315 | + | 0.745327i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −22.8341 | + | 39.5498i | −0.995613 | + | 1.72445i | ||||
\(527\) | 5.41988 | + | 9.38751i | 0.236094 | + | 0.408926i | ||||
\(528\) | 4.15243 | − | 3.34672i | 0.180711 | − | 0.145647i | ||||
\(529\) | 8.04603 | − | 13.9361i | 0.349827 | − | 0.605919i | ||||
\(530\) | 22.5008 | − | 38.9725i | 0.977371 | − | 1.69286i | ||||
\(531\) | 27.1167 | + | 24.6439i | 1.17677 | + | 1.06945i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −1.32569 | − | 2.29616i | −0.0574220 | − | 0.0994579i | ||||
\(534\) | 20.6236 | − | 16.6219i | 0.892471 | − | 0.719301i | ||||
\(535\) | 51.1387 | 2.21092 | ||||||||
\(536\) | −51.8987 | −2.24168 | ||||||||
\(537\) | 2.82614 | + | 18.1144i | 0.121957 | + | 0.781693i | ||||
\(538\) | −10.5461 | − | 18.2665i | −0.454677 | − | 0.787523i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 30.8866 | − | 46.8469i | 1.32915 | − | 2.01597i | ||||
\(541\) | −9.12929 | + | 15.8124i | −0.392499 | + | 0.679828i | −0.992778 | − | 0.119962i | \(-0.961723\pi\) |
0.600280 | + | 0.799790i | \(0.295056\pi\) | |||||||
\(542\) | −21.8865 | + | 37.9085i | −0.940106 | + | 1.62831i | ||||
\(543\) | 31.7155 | + | 12.2586i | 1.36104 | + | 0.526067i | ||||
\(544\) | −4.42350 | − | 7.66173i | −0.189656 | − | 0.328494i | ||||
\(545\) | −22.7803 | + | 39.4567i | −0.975802 | + | 1.69014i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −2.88599 | − | 4.99869i | −0.123396 | − | 0.213728i | 0.797709 | − | 0.603043i | \(-0.206045\pi\) |
−0.921105 | + | 0.389315i | \(0.872712\pi\) | |||||||
\(548\) | 13.8558 | − | 23.9990i | 0.591892 | − | 1.02519i | ||||
\(549\) | −1.24268 | − | 1.12936i | −0.0530364 | − | 0.0481999i | ||||
\(550\) | −5.70532 | − | 9.88190i | −0.243276 | − | 0.421366i | ||||
\(551\) | 2.30244 | 0.0980874 | ||||||||
\(552\) | 2.84269 | + | 18.2205i | 0.120993 | + | 0.775515i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 6.09227 | − | 10.5521i | 0.258836 | − | 0.448317i | ||||
\(555\) | −51.3198 | − | 19.8360i | −2.17840 | − | 0.841992i | ||||
\(556\) | −26.0014 | + | 45.0358i | −1.10271 | + | 1.90994i | ||||
\(557\) | 16.6911 | + | 28.9098i | 0.707223 | + | 1.22495i | 0.965883 | + | 0.258977i | \(0.0833855\pi\) |
−0.258661 | + | 0.965968i | \(0.583281\pi\) | |||||||
\(558\) | 17.3526 | + | 15.7701i | 0.734592 | + | 0.667603i | ||||
\(559\) | −6.36623 | −0.269263 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −7.23964 | − | 2.79825i | −0.305658 | − | 0.118142i | ||||
\(562\) | 2.03643 | + | 3.52720i | 0.0859015 | + | 0.148786i | ||||
\(563\) | −2.19131 | −0.0923528 | −0.0461764 | − | 0.998933i | \(-0.514704\pi\) | ||||
−0.0461764 | + | 0.998933i | \(0.514704\pi\) | |||||||
\(564\) | −23.7674 | − | 9.18652i | −1.00079 | − | 0.386822i | ||||
\(565\) | 4.93367 | 0.207561 | ||||||||
\(566\) | −29.8079 | −1.25292 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −52.3278 | −2.19563 | ||||||||
\(569\) | 18.9860 | 0.795936 | 0.397968 | − | 0.917399i | \(-0.369716\pi\) | ||||
0.397968 | + | 0.917399i | \(0.369716\pi\) | |||||||
\(570\) | 24.8535 | + | 9.60631i | 1.04100 | + | 0.402364i | ||||
\(571\) | −21.7380 | −0.909709 | −0.454854 | − | 0.890566i | \(-0.650309\pi\) | ||||
−0.454854 | + | 0.890566i | \(0.650309\pi\) | |||||||
\(572\) | −3.66858 | − | 6.35417i | −0.153391 | − | 0.265681i | ||||
\(573\) | 13.3885 | + | 5.17488i | 0.559311 | + | 0.216184i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 9.28172 | 0.387074 | ||||||||
\(576\) | −24.2622 | − | 22.0497i | −1.01093 | − | 0.918738i | ||||
\(577\) | 15.4516 | + | 26.7629i | 0.643258 | + | 1.11416i | 0.984701 | + | 0.174253i | \(0.0557511\pi\) |
−0.341443 | + | 0.939903i | \(0.610916\pi\) | |||||||
\(578\) | −7.21083 | + | 12.4895i | −0.299931 | + | 0.519496i | ||||
\(579\) | −30.3482 | − | 11.7301i | −1.26123 | − | 0.487488i | ||||
\(580\) | 5.63398 | − | 9.75835i | 0.233938 | − | 0.405193i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | −5.27858 | − | 33.8335i | −0.218804 | − | 1.40244i | ||||
\(583\) | −8.73804 | −0.361893 | ||||||||
\(584\) | 21.1767 | + | 36.6792i | 0.876299 | + | 1.51780i | ||||
\(585\) | −9.50661 | − | 8.63968i | −0.393050 | − | 0.357207i | ||||
\(586\) | −6.21069 | + | 10.7572i | −0.256561 | + | 0.444377i | ||||
\(587\) | 9.18332 | + | 15.9060i | 0.379036 | + | 0.656510i | 0.990922 | − | 0.134436i | \(-0.0429222\pi\) |
−0.611886 | + | 0.790946i | \(0.709589\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −3.61282 | + | 6.25759i | −0.148864 | + | 0.257840i | ||||
\(590\) | 42.5763 | + | 73.7444i | 1.75284 | + | 3.03601i | ||||
\(591\) | 9.68751 | + | 3.74440i | 0.398491 | + | 0.154024i | ||||
\(592\) | 12.3685 | − | 21.4230i | 0.508344 | − | 0.880478i | ||||
\(593\) | −13.8775 | + | 24.0365i | −0.569880 | + | 0.987061i | 0.426698 | + | 0.904394i | \(0.359677\pi\) |
−0.996577 | + | 0.0826662i | \(0.973656\pi\) | |||||||
\(594\) | −16.7600 | − | 0.994906i | −0.687671 | − | 0.0408215i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −4.02936 | − | 6.97905i | −0.165049 | − | 0.285873i | ||||
\(597\) | −3.84710 | − | 24.6583i | −0.157451 | − | 1.00920i | ||||
\(598\) | 9.19682 | 0.376086 | ||||||||
\(599\) | 0.402823 | 0.0164589 | 0.00822945 | − | 0.999966i | \(-0.497380\pi\) | ||||
0.00822945 | + | 0.999966i | \(0.497380\pi\) | |||||||
\(600\) | 19.2919 | − | 15.5486i | 0.787589 | − | 0.634769i | ||||
\(601\) | −12.3733 | − | 21.4312i | −0.504717 | − | 0.874196i | −0.999985 | − | 0.00545577i | \(-0.998263\pi\) |
0.495268 | − | 0.868740i | \(-0.335070\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 28.4438 | + | 25.8500i | 1.15832 | + | 1.05269i | ||||
\(604\) | −25.9313 | + | 44.9143i | −1.05513 | + | 1.82754i | ||||
\(605\) | 13.3885 | − | 23.1895i | 0.544318 | − | 0.942787i | ||||
\(606\) | 52.2313 | − | 42.0966i | 2.12175 | − | 1.71006i | ||||
\(607\) | 12.0348 | + | 20.8449i | 0.488479 | + | 0.846070i | 0.999912 | − | 0.0132531i | \(-0.00421872\pi\) |
−0.511434 | + | 0.859323i | \(0.670885\pi\) | |||||||
\(608\) | 2.94865 | − | 5.10721i | 0.119584 | − | 0.207125i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −1.95115 | − | 3.37950i | −0.0789999 | − | 0.136832i | ||||
\(611\) | −2.91672 | + | 5.05190i | −0.117998 | + | 0.204378i | ||||
\(612\) | 7.79952 | − | 35.8777i | 0.315277 | − | 1.45027i | ||||
\(613\) | 10.1907 | + | 17.6509i | 0.411600 | + | 0.712912i | 0.995065 | − | 0.0992261i | \(-0.0316367\pi\) |
−0.583465 | + | 0.812138i | \(0.698303\pi\) | |||||||
\(614\) | 11.9376 | 0.481762 | ||||||||
\(615\) | −8.53443 | − | 3.29871i | −0.344142 | − | 0.133017i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −20.9315 | + | 36.2544i | −0.842669 | + | 1.45955i | 0.0449604 | + | 0.998989i | \(0.485684\pi\) |
−0.887630 | + | 0.460558i | \(0.847650\pi\) | |||||||
\(618\) | 1.41914 | + | 9.09607i | 0.0570861 | + | 0.365898i | ||||
\(619\) | 7.41095 | − | 12.8361i | 0.297871 | − | 0.515928i | −0.677777 | − | 0.735267i | \(-0.737057\pi\) |
0.975649 | + | 0.219339i | \(0.0703900\pi\) | |||||||
\(620\) | 17.6809 | + | 30.6242i | 0.710081 | + | 1.22990i | ||||
\(621\) | 7.51737 | − | 11.4019i | 0.301662 | − | 0.457543i | ||||
\(622\) | −77.3270 | −3.10053 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 4.49687 | − | 3.62432i | 0.180019 | − | 0.145089i | ||||
\(625\) | 15.0930 | + | 26.1419i | 0.603722 | + | 1.04568i | ||||
\(626\) | 3.62582 | 0.144917 | ||||||||
\(627\) | −0.797548 | − | 5.11195i | −0.0318510 | − | 0.204152i | ||||
\(628\) | −10.9666 | −0.437614 | ||||||||
\(629\) | −36.0007 | −1.43544 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −21.0294 | −0.837169 | −0.418585 | − | 0.908178i | \(-0.637474\pi\) | ||||
−0.418585 | + | 0.908178i | \(0.637474\pi\) | |||||||
\(632\) | −3.10975 | −0.123699 | ||||||||
\(633\) | −18.6755 | + | 15.0518i | −0.742285 | + | 0.598255i | ||||
\(634\) | 51.3388 | 2.03893 | ||||||||
\(635\) | 5.79673 | + | 10.0402i | 0.230036 | + | 0.398434i | ||||
\(636\) | −6.37180 | − | 40.8406i | −0.252658 | − | 1.61943i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | −3.37150 | −0.133479 | ||||||||
\(639\) | 28.6790 | + | 26.0637i | 1.13453 | + | 1.03107i | ||||
\(640\) | −30.2882 | − | 52.4607i | −1.19725 | − | 2.07369i | ||||
\(641\) | −5.96592 | + | 10.3333i | −0.235640 | + | 0.408140i | −0.959458 | − | 0.281850i | \(-0.909052\pi\) |
0.723819 | + | 0.689990i | \(0.242385\pi\) | |||||||
\(642\) | 56.3561 | − | 45.4210i | 2.22420 | − | 1.79262i | ||||
\(643\) | 19.9678 | − | 34.5852i | 0.787452 | − | 1.36391i | −0.140072 | − | 0.990141i | \(-0.544733\pi\) |
0.927524 | − | 0.373765i | \(-0.121933\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −17.1054 | + | 13.7863i | −0.673524 | + | 0.542837i | ||||
\(646\) | 17.4347 | 0.685958 | ||||||||
\(647\) | −0.494477 | − | 0.856459i | −0.0194399 | − | 0.0336709i | 0.856142 | − | 0.516741i | \(-0.172855\pi\) |
−0.875582 | + | 0.483070i | \(0.839522\pi\) | |||||||
\(648\) | −3.47557 | − | 36.2917i | −0.136533 | − | 1.42567i | ||||
\(649\) | 8.26714 | − | 14.3191i | 0.324514 | − | 0.562074i | ||||
\(650\) | −6.17856 | − | 10.7016i | −0.242343 | − | 0.419751i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −0.718272 | + | 1.24408i | −0.0281297 | + | 0.0487221i | ||||
\(653\) | −11.3573 | − | 19.6715i | −0.444447 | − | 0.769804i | 0.553567 | − | 0.832805i | \(-0.313266\pi\) |
−0.998014 | + | 0.0630004i | \(0.979933\pi\) | |||||||
\(654\) | 9.94067 | + | 63.7155i | 0.388711 | + | 2.49147i | ||||
\(655\) | 7.78211 | − | 13.4790i | 0.304072 | − | 0.526668i | ||||
\(656\) | 2.05688 | − | 3.56262i | 0.0803076 | − | 0.139097i | ||||
\(657\) | 6.66315 | − | 30.6504i | 0.259954 | − | 1.19579i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −19.1943 | − | 33.2454i | −0.747702 | − | 1.29506i | −0.948922 | − | 0.315512i | \(-0.897824\pi\) |
0.201220 | − | 0.979546i | \(-0.435509\pi\) | |||||||
\(660\) | −23.6173 | − | 9.12852i | −0.919304 | − | 0.355327i | ||||
\(661\) | −33.9258 | −1.31956 | −0.659780 | − | 0.751459i | \(-0.729351\pi\) | ||||
−0.659780 | + | 0.751459i | \(0.729351\pi\) | |||||||
\(662\) | −46.4915 | −1.80694 | ||||||||
\(663\) | −7.84015 | − | 3.03036i | −0.304486 | − | 0.117689i | ||||
\(664\) | −3.98486 | − | 6.90198i | −0.154642 | − | 0.267849i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −74.1738 | + | 23.7221i | −2.87418 | + | 0.919213i | ||||
\(667\) | 1.37124 | − | 2.37505i | 0.0530944 | − | 0.0919623i | ||||
\(668\) | −13.4905 | + | 23.3662i | −0.521962 | + | 0.904064i | ||||
\(669\) | −1.24825 | − | 8.00077i | −0.0482602 | − | 0.309328i | ||||
\(670\) | 44.6601 | + | 77.3535i | 1.72537 | + | 2.98843i | ||||
\(671\) | −0.378860 | + | 0.656205i | −0.0146257 | + | 0.0253325i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −16.1030 | − | 27.8912i | −0.620725 | − | 1.07513i | −0.989351 | − | 0.145549i | \(-0.953505\pi\) |
0.368626 | − | 0.929578i | \(-0.379828\pi\) | |||||||
\(674\) | −11.5702 | + | 20.0401i | −0.445666 | + | 0.771916i | ||||
\(675\) | −18.3177 | − | 1.08738i | −0.705050 | − | 0.0418532i | ||||
\(676\) | 20.0585 | + | 34.7424i | 0.771483 | + | 1.33625i | ||||
\(677\) | 37.9684 | 1.45924 | 0.729622 | − | 0.683850i | \(-0.239696\pi\) | ||||
0.729622 | + | 0.683850i | \(0.239696\pi\) | |||||||
\(678\) | 5.43702 | − | 4.38204i | 0.208807 | − | 0.168291i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 19.5836 | − | 33.9198i | 0.750997 | − | 1.30076i | ||||
\(681\) | 26.5839 | − | 21.4257i | 1.01870 | − | 0.821034i | ||||
\(682\) | 5.29031 | − | 9.16309i | 0.202577 | − | 0.350873i | ||||
\(683\) | 7.59357 | + | 13.1525i | 0.290560 | + | 0.503265i | 0.973942 | − | 0.226796i | \(-0.0728251\pi\) |
−0.683382 | + | 0.730061i | \(0.739492\pi\) | |||||||
\(684\) | 23.3111 | − | 7.45529i | 0.891320 | − | 0.285060i | ||||
\(685\) | −21.8932 | −0.836495 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 7.49540 | + | 48.0424i | 0.285967 | + | 1.83293i | ||||
\(688\) | −4.93877 | − | 8.55420i | −0.188289 | − | 0.326126i | ||||
\(689\) | −9.46285 | −0.360506 | ||||||||
\(690\) | 24.7109 | − | 19.9161i | 0.940728 | − | 0.758193i | ||||
\(691\) | −2.69148 | −0.102389 | −0.0511943 | − | 0.998689i | \(-0.516303\pi\) | ||||
−0.0511943 | + | 0.998689i | \(0.516303\pi\) | |||||||
\(692\) | 14.9922 | 0.569919 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −4.83589 | −0.183568 | ||||||||
\(695\) | 41.0840 | 1.55841 | ||||||||
\(696\) | −1.12856 | − | 7.23358i | −0.0427779 | − | 0.274188i | ||||
\(697\) | −5.98689 | −0.226770 | ||||||||
\(698\) | 19.4429 | + | 33.6761i | 0.735924 | + | 1.27466i | ||||
\(699\) | −18.6133 | + | 15.0017i | −0.704021 | + | 0.567416i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −11.8515 | −0.447625 | −0.223813 | − | 0.974632i | \(-0.571850\pi\) | ||||
−0.223813 | + | 0.974632i | \(0.571850\pi\) | |||||||
\(702\) | −18.1502 | − | 1.07743i | −0.685035 | − | 0.0406650i | ||||
\(703\) | −11.9988 | − | 20.7826i | −0.452544 | − | 0.783829i | ||||
\(704\) | −7.39689 | + | 12.8118i | −0.278781 | + | 0.482862i | ||||
\(705\) | 3.10320 | + | 19.8902i | 0.116873 | + | 0.749109i | ||||
\(706\) | −20.3617 | + | 35.2675i | −0.766323 | + | 1.32731i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 72.9542 | + | 28.1981i | 2.74179 | + | 1.05975i | ||||
\(709\) | −41.0333 | −1.54104 | −0.770520 | − | 0.637416i | \(-0.780003\pi\) | ||||
−0.770520 | + | 0.637416i | \(0.780003\pi\) | |||||||
\(710\) | 45.0294 | + | 77.9931i | 1.68992 | + | 2.92703i | ||||
\(711\) | 1.70434 | + | 1.54892i | 0.0639179 | + | 0.0580891i | ||||
\(712\) | 12.9772 | − | 22.4771i | 0.486339 | − | 0.842364i | ||||
\(713\) | 4.30328 | + | 7.45351i | 0.161159 | + | 0.279136i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −2.89830 | + | 5.02001i | −0.108390 | + | 0.187738i | ||||
\(716\) | 19.5669 | + | 33.8908i | 0.731248 | + | 1.26656i | ||||
\(717\) | 14.9171 | − | 12.0226i | 0.557088 | − | 0.448993i | ||||
\(718\) | −3.54123 | + | 6.13359i | −0.132158 | + | 0.228904i | ||||
\(719\) | −10.4555 | + | 18.1094i | −0.389923 | + | 0.675366i | −0.992439 | − | 0.122741i | \(-0.960832\pi\) |
0.602516 | + | 0.798107i | \(0.294165\pi\) | |||||||
\(720\) | 4.23400 | − | 19.4763i | 0.157792 | − | 0.725840i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | −16.8644 | − | 29.2100i | −0.627628 | − | 1.08708i | ||||
\(723\) | −31.2461 | + | 25.1832i | −1.16205 | + | 0.936574i | ||||
\(724\) | 72.5792 | 2.69738 | ||||||||
\(725\) | −3.68487 | −0.136853 | ||||||||
\(726\) | −5.84233 | − | 37.4469i | −0.216829 | − | 1.38978i | ||||
\(727\) | −1.32165 | − | 2.28917i | −0.0490173 | − | 0.0849005i | 0.840476 | − | 0.541849i | \(-0.182276\pi\) |
−0.889493 | + | 0.456949i | \(0.848942\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −16.1715 | + | 21.6213i | −0.598945 | + | 0.800790i | ||||
\(730\) | 36.4462 | − | 63.1267i | 1.34893 | − | 2.33642i | ||||
\(731\) | −7.18756 | + | 12.4492i | −0.265841 | + | 0.460451i | ||||
\(732\) | −3.34329 | − | 1.29224i | −0.123571 | − | 0.0477625i | ||||
\(733\) | 7.07446 | + | 12.2533i | 0.261301 | + | 0.452587i | 0.966588 | − | 0.256335i | \(-0.0825151\pi\) |
−0.705287 | + | 0.708922i | \(0.749182\pi\) | |||||||
\(734\) | 12.1223 | − | 20.9964i | 0.447442 | − | 0.774992i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −3.51218 | − | 6.08327i | −0.129461 | − | 0.224232i | ||||
\(737\) | 8.67174 | − | 15.0199i | 0.319428 | − | 0.553265i | ||||
\(738\) | −12.3350 | + | 3.94496i | −0.454059 | + | 0.145216i | ||||
\(739\) | −7.85905 | − | 13.6123i | −0.289100 | − | 0.500736i | 0.684495 | − | 0.729017i | \(-0.260023\pi\) |
−0.973595 | + | 0.228282i | \(0.926689\pi\) | |||||||
\(740\) | −117.442 | −4.31727 | ||||||||
\(741\) | −0.863704 | − | 5.53598i | −0.0317289 | − | 0.203369i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 10.5496 | − | 18.2724i | 0.387026 | − | 0.670348i | −0.605022 | − | 0.796208i | \(-0.706836\pi\) |
0.992048 | + | 0.125861i | \(0.0401692\pi\) | |||||||
\(744\) | 21.4303 | + | 8.28320i | 0.785673 | + | 0.303677i | ||||
\(745\) | −3.18333 | + | 5.51368i | −0.116628 | + | 0.202006i | ||||
\(746\) | −30.4142 | − | 52.6789i | −1.11354 | − | 1.92871i | ||||
\(747\) | −1.25381 | + | 5.76753i | −0.0458747 | + | 0.211023i | ||||
\(748\) | −16.5675 | −0.605768 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 16.5406 | + | 6.39325i | 0.603979 | + | 0.233449i | ||||
\(751\) | −6.51848 | − | 11.2903i | −0.237863 | − | 0.411990i | 0.722238 | − | 0.691644i | \(-0.243113\pi\) |
−0.960101 | + | 0.279654i | \(0.909780\pi\) | |||||||
\(752\) | −9.05088 | −0.330052 | ||||||||
\(753\) | 12.5756 | + | 4.86071i | 0.458282 | + | 0.177134i | ||||
\(754\) | −3.65116 | −0.132968 | ||||||||
\(755\) | 40.9732 | 1.49117 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −12.6856 | −0.461065 | −0.230532 | − | 0.973065i | \(-0.574047\pi\) | ||||
−0.230532 | + | 0.973065i | \(0.574047\pi\) | |||||||
\(758\) | −23.5225 | −0.854377 | ||||||||
\(759\) | −5.74814 | − | 2.22176i | −0.208644 | − | 0.0806447i | ||||
\(760\) | 26.1084 | 0.947050 | ||||||||
\(761\) | −3.02038 | − | 5.23146i | −0.109489 | − | 0.189640i | 0.806074 | − | 0.591814i | \(-0.201588\pi\) |
−0.915563 | + | 0.402174i | \(0.868255\pi\) | |||||||
\(762\) | 15.3058 | + | 5.91596i | 0.554470 | + | 0.214313i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 30.6388 | 1.10847 | ||||||||
\(765\) | −27.6280 | + | 8.83594i | −0.998894 | + | 0.319464i | ||||
\(766\) | 32.5959 | + | 56.4577i | 1.17774 | + | 2.03990i | ||||
\(767\) | 8.95288 | − | 15.5068i | 0.323270 | − | 0.559920i | ||||
\(768\) | −44.6627 | − | 17.2629i | −1.61163 | − | 0.622923i | ||||
\(769\) | −0.108129 | + | 0.187285i | −0.00389924 | + | 0.00675368i | −0.867968 | − | 0.496619i | \(-0.834575\pi\) |
0.864069 | + | 0.503373i | \(0.167908\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 2.77037 | + | 17.7569i | 0.0997724 | + | 0.639499i | ||||
\(772\) | −69.4503 | −2.49957 | ||||||||
\(773\) | −18.8132 | − | 32.5854i | −0.676663 | − | 1.17202i | −0.975980 | − | 0.217861i | \(-0.930092\pi\) |
0.299316 | − | 0.954154i | \(-0.403241\pi\) | |||||||
\(774\) | −6.60562 | + | 30.3858i | −0.237434 | + | 1.09219i | ||||
\(775\) | 5.78202 | − | 10.0148i | 0.207696 | − | 0.359741i | ||||
\(776\) | −16.7763 | − | 29.0575i | −0.602235 | − | 1.04310i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 4.99388 | − | 8.64965i | 0.179039 | − | 0.310105i | ||||
\(779\) | −1.99539 | − | 3.45612i | −0.0714923 | − | 0.123828i | ||||
\(780\) | −25.5763 | − | 9.88571i | −0.915780 | − | 0.353965i | ||||
\(781\) | 8.74345 | − | 15.1441i | 0.312865 | − | 0.541898i | ||||
\(782\) | 10.3833 | − | 17.9845i | 0.371307 | − | 0.643123i | ||||
\(783\) | −2.98442 | + | 4.52659i | −0.106654 | + | 0.161767i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 4.33198 | + | 7.50321i | 0.154615 | + | 0.267801i | ||||
\(786\) | −3.39589 | − | 21.7662i | −0.121127 | − | 0.776374i | ||||
\(787\) | −30.8135 | −1.09838 | −0.549191 | − | 0.835697i | \(-0.685064\pi\) | ||||
−0.549191 | + | 0.835697i | \(0.685064\pi\) | |||||||
\(788\) | 22.1693 | 0.789750 | ||||||||
\(789\) | 25.8023 | − | 20.7958i | 0.918587 | − | 0.740349i | ||||
\(790\) | 2.67601 | + | 4.63499i | 0.0952083 | + | 0.164906i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | −15.6693 | + | 5.01131i | −0.556783 | + | 0.178069i | ||||
\(793\) | −0.410286 | + | 0.710636i | −0.0145697 | + | 0.0252354i | ||||
\(794\) | 36.6037 | − | 63.3994i | 1.29902 | − | 2.24996i | ||||
\(795\) | −25.4257 | + | 20.4922i | −0.901756 | + | 0.726784i | ||||
\(796\) | −26.6355 | − | 46.1340i | −0.944070 | − | 1.63518i | ||||
\(797\) | 17.9792 | − | 31.1408i | 0.636855 | − | 1.10306i | −0.349264 | − | 0.937024i | \(-0.613569\pi\) |
0.986119 | − | 0.166040i | \(-0.0530981\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 6.58602 | + | 11.4073i | 0.232997 | + | 0.403562i | ||||
\(800\) | −4.71907 | + | 8.17367i | −0.166844 | + | 0.288983i | ||||
\(801\) | −18.3078 | + | 5.85517i | −0.646876 | + | 0.206882i | ||||
\(802\) | −8.17268 | − | 14.1555i | −0.288587 | − | 0.499848i | ||||
\(803\) | −14.1537 | −0.499472 | ||||||||
\(804\) | 76.5246 | + | 29.5781i | 2.69882 | + | 1.04314i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 5.72914 | − | 9.92315i | 0.201800 | − | 0.349528i | ||||
\(807\) | 2.35941 | + | 15.1229i | 0.0830553 | + | 0.532350i | ||||
\(808\) | 32.8659 | − | 56.9254i | 1.15622 | − | 2.00263i | ||||
\(809\) | −19.4818 | − | 33.7435i | −0.684943 | − | 1.18636i | −0.973455 | − | 0.228880i | \(-0.926494\pi\) |
0.288511 | − | 0.957477i | \(-0.406840\pi\) | |||||||
\(810\) | −51.1009 | + | 36.4101i | −1.79550 | + | 1.27932i | ||||
\(811\) | 28.2811 | 0.993082 | 0.496541 | − | 0.868013i | \(-0.334603\pi\) | ||||
0.496541 | + | 0.868013i | \(0.334603\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 24.7316 | − | 19.9328i | 0.867374 | − | 0.699073i | ||||
\(814\) | 17.5701 | + | 30.4322i | 0.615830 | + | 1.06665i | ||||
\(815\) | 1.13492 | 0.0397544 | ||||||||
\(816\) | −2.01036 | − | 12.8856i | −0.0703767 | − | 0.451085i | ||||
\(817\) | −9.58227 | −0.335241 | ||||||||
\(818\) | −43.6076 | −1.52471 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −19.5306 | −0.682037 | ||||||||
\(821\) | 41.5834 | 1.45127 | 0.725635 | − | 0.688080i | \(-0.241546\pi\) | ||||
0.725635 | + | 0.688080i | \(0.241546\pi\) | |||||||
\(822\) | −24.1268 | + | 19.4453i | −0.841518 | + | 0.678234i | ||||
\(823\) | 8.45998 | 0.294896 | 0.147448 | − | 0.989070i | \(-0.452894\pi\) | ||||
0.147448 | + | 0.989070i | \(0.452894\pi\) | |||||||
\(824\) | 4.51029 | + | 7.81205i | 0.157123 | + | 0.272146i | ||||
\(825\) | 1.27641 | + | 8.18125i | 0.0444389 | + | 0.284834i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 44.2823 | 1.53985 | 0.769923 | − | 0.638137i | \(-0.220294\pi\) | ||||
0.769923 | + | 0.638137i | \(0.220294\pi\) | |||||||
\(828\) | 6.19267 | − | 28.4862i | 0.215210 | − | 0.989964i | ||||
\(829\) | 8.31637 | + | 14.4044i | 0.288839 | + | 0.500284i | 0.973533 | − | 0.228547i | \(-0.0733973\pi\) |
−0.684694 | + | 0.728831i | \(0.740064\pi\) | |||||||
\(830\) | −6.85813 | + | 11.8786i | −0.238049 | + | 0.412314i | ||||
\(831\) | −6.88422 | + | 5.54844i | −0.238811 | + | 0.192473i | ||||
\(832\) | −8.01045 | + | 13.8745i | −0.277712 | + | 0.481012i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 45.2755 | − | 36.4905i | 1.56776 | − | 1.26356i | ||||
\(835\) | 21.3158 | 0.737665 | ||||||||
\(836\) | −5.52185 | − | 9.56412i | −0.190977 | − | 0.330782i | ||||
\(837\) | −7.61946 | − | 15.2139i | −0.263367 | − | 0.525868i | ||||
\(838\) | 26.8068 | − | 46.4308i | 0.926027 | − | 1.60393i | ||||
\(839\) | −14.8006 | − | 25.6354i | −0.510974 | − | 0.885033i | −0.999919 | − | 0.0127182i | \(-0.995952\pi\) |
0.488945 | − | 0.872314i | \(-0.337382\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 13.9556 | − | 24.1718i | 0.481228 | − | 0.833512i | ||||
\(842\) | −24.8657 | − | 43.0687i | −0.856929 | − | 1.48424i | ||||
\(843\) | −0.455595 | − | 2.92017i | −0.0156915 | − | 0.100576i | ||||
\(844\) | −25.5997 | + | 44.3400i | −0.881178 | + | 1.52624i | ||||
\(845\) | 15.8469 | − | 27.4477i | 0.545151 | − | 0.944228i | ||||
\(846\) | 21.0861 | + | 19.1632i | 0.724956 | + | 0.658846i | ||||
\(847\) | 0 | 0 | ||||||||
\(848\) | −7.34105 | − | 12.7151i | −0.252093 | − | 0.436638i | ||||
\(849\) | 20.1757 | + | 7.79827i | 0.692429 | + | 0.267636i | ||||
\(850\) | −27.9027 | −0.957055 | ||||||||
\(851\) | −28.5839 | −0.979844 | ||||||||
\(852\) | 77.1574 | + | 29.8227i | 2.64337 | + | 1.02171i | ||||
\(853\) | 15.0619 | + | 26.0880i | 0.515710 | + | 0.893236i | 0.999834 | + | 0.0182366i | \(0.00580520\pi\) |
−0.484124 | + | 0.875000i | \(0.660861\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −14.3091 | − | 13.0042i | −0.489360 | − | 0.444734i | ||||
\(856\) | 35.4613 | − | 61.4208i | 1.21204 | − | 2.09932i | ||||
\(857\) | 18.5447 | − | 32.1204i | 0.633475 | − | 1.09721i | −0.353361 | − | 0.935487i | \(-0.614961\pi\) |
0.986836 | − | 0.161724i | \(-0.0517053\pi\) | |||||||
\(858\) | 1.26473 | + | 8.10642i | 0.0431773 | + | 0.276749i | ||||
\(859\) | −1.89166 | − | 3.27646i | −0.0645427 | − | 0.111791i | 0.831948 | − | 0.554853i | \(-0.187226\pi\) |
−0.896491 | + | 0.443062i | \(0.853892\pi\) | |||||||
\(860\) | −23.4474 | + | 40.6121i | −0.799551 | + | 1.38486i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 24.1583 | + | 41.8434i | 0.822835 | + | 1.42519i | ||||
\(863\) | 0.213559 | − | 0.369895i | 0.00726963 | − | 0.0125914i | −0.862368 | − | 0.506282i | \(-0.831019\pi\) |
0.869637 | + | 0.493691i | \(0.164353\pi\) | |||||||
\(864\) | 6.21872 | + | 12.4170i | 0.211565 | + | 0.422434i | ||||
\(865\) | −5.92218 | − | 10.2575i | −0.201360 | − | 0.348766i | ||||
\(866\) | −51.7388 | −1.75815 | ||||||||
\(867\) | 8.14818 | − | 6.56715i | 0.276727 | − | 0.223032i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 0.519608 | − | 0.899987i | 0.0176265 | − | 0.0305300i | ||||
\(870\) | −9.81029 | + | 7.90675i | −0.332600 | + | 0.268064i | ||||
\(871\) | 9.39105 | − | 16.2658i | 0.318203 | − | 0.551145i | ||||
\(872\) | 31.5933 | + | 54.7212i | 1.06988 | + | 1.85309i | ||||
\(873\) | −5.27858 | + | 24.2814i | −0.178653 | + | 0.821801i | ||||
\(874\) | 13.8428 | 0.468240 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −10.3209 | − | 66.1525i | −0.348710 | − | 2.23509i | ||||
\(877\) | −5.63038 | − | 9.75210i | −0.190124 | − | 0.329305i | 0.755167 | − | 0.655532i | \(-0.227556\pi\) |
−0.945291 | + | 0.326228i | \(0.894222\pi\) | |||||||
\(878\) | −84.6816 | −2.85786 | ||||||||
\(879\) | 7.01803 | − | 5.65629i | 0.236712 | − | 0.190782i | ||||
\(880\) | −8.99374 | −0.303179 | ||||||||
\(881\) | 35.4810 | 1.19538 | 0.597692 | − | 0.801726i | \(-0.296084\pi\) | ||||
0.597692 | + | 0.801726i | \(0.296084\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −5.30092 | −0.178390 | −0.0891952 | − | 0.996014i | \(-0.528429\pi\) | ||||
−0.0891952 | + | 0.996014i | \(0.528429\pi\) | |||||||
\(884\) | −17.9418 | −0.603447 | ||||||||
\(885\) | −9.52530 | − | 61.0531i | −0.320189 | − | 2.05228i | ||||
\(886\) | 45.8428 | 1.54012 | ||||||||
\(887\) | 28.7832 | + | 49.8540i | 0.966446 | + | 1.67393i | 0.705679 | + | 0.708532i | \(0.250642\pi\) |
0.260767 | + | 0.965402i | \(0.416025\pi\) | |||||||
\(888\) | −59.4112 | + | 47.8834i | −1.99371 | + | 1.60686i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | −44.6686 | −1.49730 | ||||||||
\(891\) | 11.0838 | + | 5.05812i | 0.371323 | + | 0.169453i | ||||
\(892\) | −8.64231 | − | 14.9689i | −0.289366 | − | 0.501197i | ||||
\(893\) | −4.39016 | + | 7.60398i | −0.146911 | + | 0.254458i | ||||
\(894\) | 1.38911 | + | 8.90362i | 0.0464588 | + | 0.297781i | ||||
\(895\) | 15.4585 | − | 26.7749i | 0.516720 | − | 0.894985i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −6.22494 | − | 2.40605i | −0.207845 | − | 0.0803356i | ||||
\(898\) | 70.6708 | 2.35832 | ||||||||
\(899\) | −1.70842 | − | 2.95906i | −0.0569788 | − | 0.0986903i | ||||
\(900\) | −37.3074 | + | 11.9316i | −1.24358 | + | 0.397719i | ||||
\(901\) | −10.6837 | + | 18.5047i | −0.355925 | + | 0.616480i | ||||
\(902\) | 2.92188 | + | 5.06085i | 0.0972881 | + | 0.168508i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 3.42117 | − | 5.92565i | 0.113787 | − | 0.197084i | ||||
\(905\) | −28.6700 | − | 49.6579i | −0.953023 | − | 1.65068i | ||||
\(906\) | 45.1534 | − | 36.3921i | 1.50012 | − | 1.20905i | ||||
\(907\) | −10.4486 | + | 18.0975i | −0.346939 | + | 0.600917i | −0.985704 | − | 0.168485i | \(-0.946112\pi\) |
0.638765 | + | 0.769402i | \(0.279446\pi\) | |||||||
\(908\) | 36.4402 | − | 63.1163i | 1.20931 | − | 2.09459i | ||||
\(909\) | −46.3664 | + | 14.8288i | −1.53787 | + | 0.491840i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 11.3819 | + | 19.7141i | 0.377101 | + | 0.653157i | 0.990639 | − | 0.136508i | \(-0.0435878\pi\) |
−0.613539 | + | 0.789665i | \(0.710254\pi\) | |||||||
\(912\) | 6.76856 | − | 5.45522i | 0.224129 | − | 0.180641i | ||||
\(913\) | 2.66332 | 0.0881430 | ||||||||
\(914\) | 22.8231 | 0.754923 | ||||||||
\(915\) | 0.436518 | + | 2.79789i | 0.0144308 | + | 0.0924955i | ||||
\(916\) | 51.8946 | + | 89.8841i | 1.71465 | + | 2.96986i | ||||
\(917\) | 0 | 0 | ||||||||
\(918\) | −22.5987 | + | 34.2764i | −0.745870 | + | 1.13129i | ||||
\(919\) | 18.6515 | − | 32.3054i | 0.615257 | − | 1.06566i | −0.375083 | − | 0.926991i | \(-0.622386\pi\) |
0.990339 | − | 0.138664i | \(-0.0442809\pi\) | |||||||
\(920\) | 15.5490 | − | 26.9317i | 0.512636 | − | 0.887911i | ||||
\(921\) | −8.08004 | − | 3.12308i | −0.266246 | − | 0.102909i | ||||
\(922\) | 26.0616 | + | 45.1399i | 0.858292 | + | 1.48660i | ||||
\(923\) | 9.46870 | − | 16.4003i | 0.311666 | − | 0.539822i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 19.2031 | + | 33.2607i | 0.631394 | + | 1.09361i | ||||
\(926\) | −31.2070 | + | 54.0521i | −1.02553 | + | 1.77626i | ||||
\(927\) | 1.41914 | − | 6.52802i | 0.0466106 | − | 0.214408i | ||||
\(928\) | 1.39434 | + | 2.41508i | 0.0457716 | + | 0.0792787i | ||||
\(929\) | −5.66725 | −0.185937 | −0.0929683 | − | 0.995669i | \(-0.529636\pi\) | ||||
−0.0929683 | + | 0.995669i | \(0.529636\pi\) | |||||||
\(930\) | −6.09544 | − | 39.0692i | −0.199877 | − | 1.28113i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | −25.5145 | + | 44.1923i | −0.835754 | + | 1.44757i | ||||
\(933\) | 52.3394 | + | 20.2301i | 1.71351 | + | 0.662304i | ||||
\(934\) | −41.7138 | + | 72.2503i | −1.36492 | + | 2.36410i | ||||
\(935\) | 6.54444 | + | 11.3353i | 0.214026 | + | 0.370704i | ||||
\(936\) | −16.9690 | + | 5.42699i | −0.554649 | + | 0.177387i | ||||
\(937\) | 7.64754 | 0.249834 | 0.124917 | − | 0.992167i | \(-0.460134\pi\) | ||||
0.124917 | + | 0.992167i | \(0.460134\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −2.45416 | − | 0.948578i | −0.0800886 | − | 0.0309557i | ||||
\(940\) | 21.4851 | + | 37.2133i | 0.700766 | + | 1.21376i | ||||
\(941\) | −20.4552 | −0.666819 | −0.333410 | − | 0.942782i | \(-0.608199\pi\) | ||||
−0.333410 | + | 0.942782i | \(0.608199\pi\) | |||||||
\(942\) | 11.4382 | + | 4.42108i | 0.372678 | + | 0.144047i | ||||
\(943\) | −4.75348 | −0.154795 | ||||||||
\(944\) | 27.7817 | 0.904219 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 14.0315 | 0.456202 | ||||||||
\(947\) | −4.76687 | −0.154902 | −0.0774512 | − | 0.996996i | \(-0.524678\pi\) | ||||
−0.0774512 | + | 0.996996i | \(0.524678\pi\) | |||||||
\(948\) | 4.58533 | + | 1.77231i | 0.148924 | + | 0.0575620i | ||||
\(949\) | −15.3277 | −0.497558 | ||||||||
\(950\) | −9.29980 | − | 16.1077i | −0.301725 | − | 0.522604i | ||||
\(951\) | −34.7491 | − | 13.4311i | −1.12682 | − | 0.435534i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −48.9412 | −1.58536 | −0.792680 | − | 0.609638i | \(-0.791315\pi\) | ||||
−0.792680 | + | 0.609638i | \(0.791315\pi\) | |||||||
\(954\) | −9.81868 | + | 45.1658i | −0.317891 | + | 1.46230i | ||||
\(955\) | −12.1028 | − | 20.9627i | −0.391638 | − | 0.678337i | ||||
\(956\) | 20.4478 | − | 35.4166i | 0.661328 | − | 1.14545i | ||||
\(957\) | 2.28203 | + | 0.882044i | 0.0737675 | + | 0.0285124i | ||||
\(958\) | 35.5773 | − | 61.6217i | 1.14945 | − | 1.99091i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 8.52261 | + | 54.6263i | 0.275066 | + | 1.76306i | ||||
\(961\) | −20.2771 | −0.654101 | ||||||||
\(962\) | 19.0275 | + | 32.9565i | 0.613470 | + | 1.06256i | ||||
\(963\) | −50.0279 | + | 15.9998i | −1.61213 | + | 0.515587i | ||||
\(964\) | −42.8309 | + | 74.1854i | −1.37949 | + | 2.38935i | ||||
\(965\) | 27.4340 | + | 47.5171i | 0.883132 | + | 1.52963i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −2.95856 | + | 5.12438i | −0.0951409 | + | 0.164789i | −0.909667 | − | 0.415337i | \(-0.863664\pi\) |
0.814526 | + | 0.580126i | \(0.196997\pi\) | |||||||
\(968\) | −18.5680 | − | 32.1608i | −0.596799 | − | 1.03369i | ||||
\(969\) | −11.8008 | − | 4.56121i | −0.379096 | − | 0.146527i | ||||
\(970\) | −28.8729 | + | 50.0093i | −0.927052 | + | 1.60570i | ||||
\(971\) | −14.4888 | + | 25.0953i | −0.464966 | + | 0.805345i | −0.999200 | − | 0.0399914i | \(-0.987267\pi\) |
0.534234 | + | 0.845337i | \(0.320600\pi\) | |||||||
\(972\) | −15.5587 | + | 55.4929i | −0.499044 | + | 1.77994i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | 26.7933 | + | 46.4074i | 0.858513 | + | 1.48699i | ||||
\(975\) | 1.38229 | + | 8.85987i | 0.0442686 | + | 0.283743i | ||||
\(976\) | −1.27316 | −0.0407528 | ||||||||
\(977\) | 22.8455 | 0.730893 | 0.365447 | − | 0.930832i | \(-0.380916\pi\) | ||||
0.365447 | + | 0.930832i | \(0.380916\pi\) | |||||||
\(978\) | 1.25071 | − | 1.00802i | 0.0399932 | − | 0.0322331i | ||||
\(979\) | 4.33670 | + | 7.51139i | 0.138602 | + | 0.240065i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 9.94067 | − | 45.7270i | 0.317381 | − | 1.45995i | ||||
\(982\) | −41.8232 | + | 72.4400i | −1.33463 | + | 2.31165i | ||||
\(983\) | −15.6351 | + | 27.0809i | −0.498684 | + | 0.863745i | −0.999999 | − | 0.00151933i | \(-0.999516\pi\) |
0.501315 | + | 0.865265i | \(0.332850\pi\) | |||||||
\(984\) | −9.88003 | + | 7.96296i | −0.314964 | + | 0.253850i | ||||
\(985\) | −8.75726 | − | 15.1680i | −0.279029 | − | 0.483293i | ||||
\(986\) | −4.12221 | + | 7.13988i | −0.131278 | + | 0.227380i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −5.97988 | − | 10.3574i | −0.190245 | − | 0.329514i | ||||
\(989\) | −5.70679 | + | 9.88444i | −0.181465 | + | 0.314307i | ||||
\(990\) | 20.9530 | + | 19.0423i | 0.665930 | + | 0.605203i | ||||
\(991\) | 3.50732 | + | 6.07485i | 0.111414 | + | 0.192974i | 0.916340 | − | 0.400400i | \(-0.131129\pi\) |
−0.804927 | + | 0.593374i | \(0.797796\pi\) | |||||||
\(992\) | −8.75161 | −0.277864 | ||||||||
\(993\) | 31.4681 | + | 12.1630i | 0.998611 | + | 0.385981i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −21.0429 | + | 36.4474i | −0.667105 | + | 1.15546i | ||||
\(996\) | 1.94210 | + | 12.4480i | 0.0615377 | + | 0.394431i | ||||
\(997\) | −10.6439 | + | 18.4358i | −0.337095 | + | 0.583866i | −0.983885 | − | 0.178802i | \(-0.942778\pi\) |
0.646790 | + | 0.762668i | \(0.276111\pi\) | |||||||
\(998\) | −10.6636 | − | 18.4698i | −0.337549 | − | 0.584653i | ||||
\(999\) | 56.4112 | + | 3.34868i | 1.78477 | + | 0.105948i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))