Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(148,441)]
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([2, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.148");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.f (of order \(3\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.52140272914\) |
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 | 295.1 | ||
Root | \(-1.02682 + 1.77851i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 441.295 |
Dual form | 441.2.f.f.148.1 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.02682 | + | 1.77851i | −0.726073 | + | 1.25760i | 0.232458 | + | 0.972607i | \(0.425323\pi\) |
−0.958531 | + | 0.284989i | \(0.908010\pi\) | |||||||
\(3\) | −0.608729 | − | 1.62156i | −0.351450 | − | 0.936207i | ||||
\(4\) | −1.10873 | − | 1.92038i | −0.554365 | − | 0.960188i | ||||
\(5\) | −0.0731228 | − | 0.126652i | −0.0327015 | − | 0.0566407i | 0.849211 | − | 0.528053i | \(-0.177078\pi\) |
−0.881913 | + | 0.471412i | \(0.843744\pi\) | |||||||
\(6\) | 3.50901 | + | 0.582422i | 1.43255 | + | 0.237773i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 0.446582 | 0.157891 | ||||||||
\(9\) | −2.25890 | + | 1.97418i | −0.752966 | + | 0.658060i | ||||
\(10\) | 0.300337 | 0.0949748 | ||||||||
\(11\) | −0.832020 | + | 1.44110i | −0.250864 | + | 0.434508i | −0.963764 | − | 0.266757i | \(-0.914048\pi\) |
0.712900 | + | 0.701265i | \(0.247381\pi\) | |||||||
\(12\) | −2.43908 | + | 2.96686i | −0.704103 | + | 0.856458i | ||||
\(13\) | −0.0999454 | − | 0.173111i | −0.0277199 | − | 0.0480122i | 0.851833 | − | 0.523814i | \(-0.175491\pi\) |
−0.879553 | + | 0.475802i | \(0.842158\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −0.160862 | + | 0.195670i | −0.0415345 | + | 0.0505218i | ||||
\(16\) | 1.75890 | − | 3.04650i | 0.439724 | − | 0.761625i | ||||
\(17\) | 6.27110 | 1.52097 | 0.760483 | − | 0.649358i | \(-0.224962\pi\) | ||||
0.760483 | + | 0.649358i | \(0.224962\pi\) | |||||||
\(18\) | −1.19161 | − | 6.04460i | −0.280865 | − | 1.42473i | ||||
\(19\) | 6.91758 | 1.58700 | 0.793500 | − | 0.608570i | \(-0.208256\pi\) | ||||
0.793500 | + | 0.608570i | \(0.208256\pi\) | |||||||
\(20\) | −0.162147 | + | 0.280847i | −0.0362571 | + | 0.0627992i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −1.70867 | − | 2.95951i | −0.364291 | − | 0.630970i | ||||
\(23\) | 3.09092 | + | 5.35363i | 0.644501 | + | 1.11631i | 0.984417 | + | 0.175852i | \(0.0562682\pi\) |
−0.339916 | + | 0.940456i | \(0.610399\pi\) | |||||||
\(24\) | −0.271848 | − | 0.724159i | −0.0554907 | − | 0.147818i | ||||
\(25\) | 2.48931 | − | 4.31160i | 0.497861 | − | 0.862321i | ||||
\(26\) | 0.410505 | 0.0805066 | ||||||||
\(27\) | 4.57630 | + | 2.46119i | 0.880710 | + | 0.473657i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −2.46757 | + | 4.27396i | −0.458217 | + | 0.793655i | −0.998867 | − | 0.0475930i | \(-0.984845\pi\) |
0.540650 | + | 0.841248i | \(0.318178\pi\) | |||||||
\(30\) | −0.182824 | − | 0.487013i | −0.0333789 | − | 0.0889160i | ||||
\(31\) | −1.25890 | − | 2.18047i | −0.226105 | − | 0.391625i | 0.730546 | − | 0.682864i | \(-0.239266\pi\) |
−0.956650 | + | 0.291239i | \(0.905932\pi\) | |||||||
\(32\) | 4.05873 | + | 7.02993i | 0.717490 | + | 1.24273i | ||||
\(33\) | 2.84330 | + | 0.471928i | 0.494956 | + | 0.0821522i | ||||
\(34\) | −6.43931 | + | 11.1532i | −1.10433 | + | 1.91276i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 6.29567 | + | 2.14910i | 1.04928 | + | 0.358184i | ||||
\(37\) | 7.00046 | 1.15087 | 0.575434 | − | 0.817848i | \(-0.304833\pi\) | ||||
0.575434 | + | 0.817848i | \(0.304833\pi\) | |||||||
\(38\) | −7.10312 | + | 12.3030i | −1.15228 | + | 1.99581i | ||||
\(39\) | −0.219869 | + | 0.267445i | −0.0352072 | + | 0.0428254i | ||||
\(40\) | −0.0326554 | − | 0.0565608i | −0.00516327 | − | 0.00894304i | ||||
\(41\) | −1.15895 | − | 2.00736i | −0.180998 | − | 0.313498i | 0.761223 | − | 0.648491i | \(-0.224599\pi\) |
−0.942221 | + | 0.334993i | \(0.891266\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.940993 | + | 1.62985i | −0.143500 | + | 0.248550i | −0.928812 | − | 0.370550i | \(-0.879169\pi\) |
0.785312 | + | 0.619100i | \(0.212502\pi\) | |||||||
\(44\) | 3.68994 | 0.556280 | ||||||||
\(45\) | 0.415212 | + | 0.141737i | 0.0618961 | + | 0.0211290i | ||||
\(46\) | −12.6953 | −1.87182 | ||||||||
\(47\) | −0.905887 | + | 1.56904i | −0.132137 | + | 0.228868i | −0.924500 | − | 0.381181i | \(-0.875517\pi\) |
0.792363 | + | 0.610050i | \(0.208851\pi\) | |||||||
\(48\) | −6.01077 | − | 0.997660i | −0.867579 | − | 0.144000i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 5.11215 | + | 8.85451i | 0.722967 | + | 1.25222i | ||||
\(51\) | −3.81740 | − | 10.1690i | −0.534543 | − | 1.42394i | ||||
\(52\) | −0.221625 | + | 0.383865i | −0.0307338 | + | 0.0532325i | ||||
\(53\) | 5.34614 | 0.734348 | 0.367174 | − | 0.930152i | \(-0.380325\pi\) | ||||
0.367174 | + | 0.930152i | \(0.380325\pi\) | |||||||
\(54\) | −9.07630 | + | 5.61178i | −1.23513 | + | 0.763667i | ||||
\(55\) | 0.243359 | 0.0328145 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −4.21093 | − | 11.2172i | −0.557751 | − | 1.48576i | ||||
\(58\) | −5.06752 | − | 8.77720i | −0.665398 | − | 1.15250i | ||||
\(59\) | −2.28549 | − | 3.95859i | −0.297546 | − | 0.515364i | 0.678028 | − | 0.735036i | \(-0.262835\pi\) |
−0.975574 | + | 0.219672i | \(0.929501\pi\) | |||||||
\(60\) | 0.554112 | + | 0.0919709i | 0.0715356 | + | 0.0118734i | ||||
\(61\) | −0.339138 | + | 0.587404i | −0.0434221 | + | 0.0752094i | −0.886920 | − | 0.461924i | \(-0.847159\pi\) |
0.843498 | + | 0.537133i | \(0.180493\pi\) | |||||||
\(62\) | 5.17066 | 0.656674 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −9.63481 | −1.20435 | ||||||||
\(65\) | −0.0146166 | + | 0.0253167i | −0.00181296 | + | 0.00314015i | ||||
\(66\) | −3.75890 | + | 4.57226i | −0.462688 | + | 0.562806i | ||||
\(67\) | 3.09342 | + | 5.35796i | 0.377921 | + | 0.654579i | 0.990760 | − | 0.135630i | \(-0.0433057\pi\) |
−0.612838 | + | 0.790208i | \(0.709972\pi\) | |||||||
\(68\) | −6.95296 | − | 12.0429i | −0.843170 | − | 1.46041i | ||||
\(69\) | 6.79968 | − | 8.27101i | 0.818586 | − | 0.995713i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 1.27749 | 0.151611 | 0.0758053 | − | 0.997123i | \(-0.475847\pi\) | ||||
0.0758053 | + | 0.997123i | \(0.475847\pi\) | |||||||
\(72\) | −1.00878 | + | 0.881633i | −0.118886 | + | 0.103901i | ||||
\(73\) | −1.55721 | −0.182257 | −0.0911286 | − | 0.995839i | \(-0.529047\pi\) | ||||
−0.0911286 | + | 0.995839i | \(0.529047\pi\) | |||||||
\(74\) | −7.18823 | + | 12.4504i | −0.835614 | + | 1.44733i | ||||
\(75\) | −8.50683 | − | 1.41195i | −0.982284 | − | 0.163038i | ||||
\(76\) | −7.66972 | − | 13.2843i | −0.879777 | − | 1.52382i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −0.249886 | − | 0.665657i | −0.0282940 | − | 0.0753708i | ||||
\(79\) | −6.39787 | + | 11.0814i | −0.719817 | + | 1.24676i | 0.241255 | + | 0.970462i | \(0.422441\pi\) |
−0.961072 | + | 0.276298i | \(0.910892\pi\) | |||||||
\(80\) | −0.514462 | −0.0575186 | ||||||||
\(81\) | 1.20524 | − | 8.91894i | 0.133915 | − | 0.990993i | ||||
\(82\) | 4.76015 | 0.525671 | ||||||||
\(83\) | −3.75687 | + | 6.50709i | −0.412370 | + | 0.714246i | −0.995148 | − | 0.0983854i | \(-0.968632\pi\) |
0.582778 | + | 0.812631i | \(0.301966\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.458561 | − | 0.794251i | −0.0497379 | − | 0.0861486i | ||||
\(86\) | −1.93247 | − | 3.34713i | −0.208383 | − | 0.360930i | ||||
\(87\) | 8.43256 | + | 1.39963i | 0.904065 | + | 0.150056i | ||||
\(88\) | −0.371566 | + | 0.643571i | −0.0396090 | + | 0.0686048i | ||||
\(89\) | 9.06788 | 0.961193 | 0.480597 | − | 0.876942i | \(-0.340420\pi\) | ||||
0.480597 | + | 0.876942i | \(0.340420\pi\) | |||||||
\(90\) | −0.678430 | + | 0.592918i | −0.0715128 | + | 0.0624991i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 6.85398 | − | 11.8714i | 0.714577 | − | 1.23768i | ||||
\(93\) | −2.76944 | + | 3.36869i | −0.287177 | + | 0.349317i | ||||
\(94\) | −1.86037 | − | 3.22226i | −0.191883 | − | 0.332350i | ||||
\(95\) | −0.505833 | − | 0.876128i | −0.0518973 | − | 0.0898888i | ||||
\(96\) | 8.92877 | − | 10.8608i | 0.911289 | − | 1.10848i | ||||
\(97\) | 3.98514 | − | 6.90246i | 0.404630 | − | 0.700839i | −0.589649 | − | 0.807660i | \(-0.700734\pi\) |
0.994278 | + | 0.106821i | \(0.0340671\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −0.965543 | − | 4.89786i | −0.0970408 | − | 0.492253i | ||||
\(100\) | −11.0399 | −1.10399 | ||||||||
\(101\) | 7.42150 | − | 12.8544i | 0.738467 | − | 1.27906i | −0.214719 | − | 0.976676i | \(-0.568883\pi\) |
0.953186 | − | 0.302386i | \(-0.0977832\pi\) | |||||||
\(102\) | 22.0054 | + | 3.65243i | 2.17886 | + | 0.361644i | ||||
\(103\) | −0.101974 | − | 0.176624i | −0.0100478 | − | 0.0174033i | 0.860958 | − | 0.508676i | \(-0.169865\pi\) |
−0.871006 | + | 0.491273i | \(0.836532\pi\) | |||||||
\(104\) | −0.0446339 | − | 0.0773081i | −0.00437671 | − | 0.00758068i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −5.48953 | + | 9.50815i | −0.533191 | + | 0.923513i | ||||
\(107\) | −6.96889 | −0.673708 | −0.336854 | − | 0.941557i | \(-0.609363\pi\) | ||||
−0.336854 | + | 0.941557i | \(0.609363\pi\) | |||||||
\(108\) | −0.347467 | − | 11.5170i | −0.0334350 | − | 1.10822i | ||||
\(109\) | −6.66116 | −0.638024 | −0.319012 | − | 0.947751i | \(-0.603351\pi\) | ||||
−0.319012 | + | 0.947751i | \(0.603351\pi\) | |||||||
\(110\) | −0.249886 | + | 0.432816i | −0.0238257 | + | 0.0412674i | ||||
\(111\) | −4.26138 | − | 11.3516i | −0.404472 | − | 1.07745i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −0.0193234 | − | 0.0334691i | −0.00181779 | − | 0.00314851i | 0.865115 | − | 0.501573i | \(-0.167245\pi\) |
−0.866933 | + | 0.498425i | \(0.833912\pi\) | |||||||
\(114\) | 24.2739 | + | 4.02895i | 2.27345 | + | 0.377345i | ||||
\(115\) | 0.452033 | − | 0.782945i | 0.0421523 | − | 0.0730100i | ||||
\(116\) | 10.9435 | 1.01608 | ||||||||
\(117\) | 0.567518 | + | 0.193729i | 0.0524670 | + | 0.0179102i | ||||
\(118\) | 9.38718 | 0.864160 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | −0.0718382 | + | 0.0873827i | −0.00655790 | + | 0.00797692i | ||||
\(121\) | 4.11548 | + | 7.12823i | 0.374135 | + | 0.648021i | ||||
\(122\) | −0.696469 | − | 1.20632i | −0.0630553 | − | 0.109215i | ||||
\(123\) | −2.54957 | + | 3.10125i | −0.229887 | + | 0.279630i | ||||
\(124\) | −2.79155 | + | 4.83511i | −0.250689 | + | 0.434206i | ||||
\(125\) | −1.45933 | −0.130526 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 13.4788 | 1.19605 | 0.598027 | − | 0.801476i | \(-0.295952\pi\) | ||||
0.598027 | + | 0.801476i | \(0.295952\pi\) | |||||||
\(128\) | 1.77577 | − | 3.07572i | 0.156957 | − | 0.271858i | ||||
\(129\) | 3.21570 | + | 0.533739i | 0.283127 | + | 0.0469931i | ||||
\(130\) | −0.0300173 | − | 0.0519914i | −0.00263269 | − | 0.00455995i | ||||
\(131\) | −9.91665 | − | 17.1761i | −0.866422 | − | 1.50069i | −0.865628 | − | 0.500687i | \(-0.833081\pi\) |
−0.000793988 | − | 1.00000i | \(-0.500253\pi\) | |||||||
\(132\) | −2.24617 | − | 5.98345i | −0.195504 | − | 0.520793i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −12.7056 | −1.09759 | ||||||||
\(135\) | −0.0229161 | − | 0.759569i | −0.00197230 | − | 0.0653733i | ||||
\(136\) | 2.80056 | 0.240146 | ||||||||
\(137\) | 3.22255 | − | 5.58162i | 0.275321 | − | 0.476870i | −0.694895 | − | 0.719111i | \(-0.744549\pi\) |
0.970216 | + | 0.242241i | \(0.0778826\pi\) | |||||||
\(138\) | 7.72800 | + | 20.5862i | 0.657851 | + | 1.75241i | ||||
\(139\) | −6.26527 | − | 10.8518i | −0.531413 | − | 0.920435i | −0.999328 | − | 0.0366611i | \(-0.988328\pi\) |
0.467914 | − | 0.883774i | \(-0.345006\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 3.09573 | + | 0.513826i | 0.260708 | + | 0.0432720i | ||||
\(142\) | −1.31176 | + | 2.27203i | −0.110080 | + | 0.190665i | ||||
\(143\) | 0.332626 | 0.0278156 | ||||||||
\(144\) | 2.04117 | + | 10.3541i | 0.170097 | + | 0.862842i | ||||
\(145\) | 0.721743 | 0.0599375 | ||||||||
\(146\) | 1.59897 | − | 2.76950i | 0.132332 | − | 0.229206i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −7.76161 | − | 13.4435i | −0.638000 | − | 1.10505i | ||||
\(149\) | −8.88364 | − | 15.3869i | −0.727776 | − | 1.26054i | −0.957821 | − | 0.287365i | \(-0.907221\pi\) |
0.230045 | − | 0.973180i | \(-0.426113\pi\) | |||||||
\(150\) | 11.2462 | − | 13.6796i | 0.918246 | − | 1.11694i | ||||
\(151\) | −4.23300 | + | 7.33177i | −0.344476 | + | 0.596651i | −0.985259 | − | 0.171072i | \(-0.945277\pi\) |
0.640782 | + | 0.767723i | \(0.278610\pi\) | |||||||
\(152\) | 3.08927 | 0.250573 | ||||||||
\(153\) | −14.1658 | + | 12.3803i | −1.14524 | + | 1.00089i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −0.184108 | + | 0.318885i | −0.0147879 | + | 0.0256135i | ||||
\(156\) | 0.757369 | + | 0.125707i | 0.0606381 | + | 0.0100646i | ||||
\(157\) | 2.84968 | + | 4.93579i | 0.227429 | + | 0.393919i | 0.957045 | − | 0.289938i | \(-0.0936347\pi\) |
−0.729616 | + | 0.683857i | \(0.760301\pi\) | |||||||
\(158\) | −13.1390 | − | 22.7573i | −1.04528 | − | 1.81048i | ||||
\(159\) | −3.25435 | − | 8.66907i | −0.258087 | − | 0.687502i | ||||
\(160\) | 0.593572 | − | 1.02810i | 0.0469260 | − | 0.0812782i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 14.6248 | + | 11.3017i | 1.14904 | + | 0.887944i | ||||
\(163\) | 2.12535 | 0.166470 | 0.0832349 | − | 0.996530i | \(-0.473475\pi\) | ||||
0.0832349 | + | 0.996530i | \(0.473475\pi\) | |||||||
\(164\) | −2.56993 | + | 4.45125i | −0.200678 | + | 0.347584i | ||||
\(165\) | −0.148140 | − | 0.394620i | −0.0115326 | − | 0.0307211i | ||||
\(166\) | −7.71528 | − | 13.3632i | −0.598821 | − | 1.03719i | ||||
\(167\) | 5.78723 | + | 10.0238i | 0.447829 | + | 0.775663i | 0.998244 | − | 0.0592278i | \(-0.0188638\pi\) |
−0.550415 | + | 0.834891i | \(0.685530\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 6.48002 | − | 11.2237i | 0.498463 | − | 0.863364i | ||||
\(170\) | 1.88344 | 0.144453 | ||||||||
\(171\) | −15.6261 | + | 13.6565i | −1.19496 | + | 1.04434i | ||||
\(172\) | 4.17323 | 0.318206 | ||||||||
\(173\) | −7.95546 | + | 13.7793i | −0.604842 | + | 1.04762i | 0.387234 | + | 0.921981i | \(0.373430\pi\) |
−0.992076 | + | 0.125636i | \(0.959903\pi\) | |||||||
\(174\) | −11.1480 | + | 13.5602i | −0.845127 | + | 1.02800i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 2.92688 | + | 5.06950i | 0.220622 | + | 0.382128i | ||||
\(177\) | −5.02783 | + | 6.11577i | −0.377915 | + | 0.459689i | ||||
\(178\) | −9.31110 | + | 16.1273i | −0.697897 | + | 1.20879i | ||||
\(179\) | −7.75331 | −0.579509 | −0.289755 | − | 0.957101i | \(-0.593574\pi\) | ||||
−0.289755 | + | 0.957101i | \(0.593574\pi\) | |||||||
\(180\) | −0.188168 | − | 0.954510i | −0.0140252 | − | 0.0711450i | ||||
\(181\) | 12.1618 | 0.903982 | 0.451991 | − | 0.892022i | \(-0.350714\pi\) | ||||
0.451991 | + | 0.892022i | \(0.350714\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 1.15895 | + | 0.192362i | 0.0856722 | + | 0.0142198i | ||||
\(184\) | 1.38035 | + | 2.39084i | 0.101761 | + | 0.176255i | ||||
\(185\) | −0.511893 | − | 0.886625i | −0.0376351 | − | 0.0651860i | ||||
\(186\) | −3.14753 | − | 8.38452i | −0.230788 | − | 0.614783i | ||||
\(187\) | −5.21769 | + | 9.03730i | −0.381555 | + | 0.660873i | ||||
\(188\) | 4.01754 | 0.293009 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 2.07760 | 0.150725 | ||||||||
\(191\) | 2.48383 | − | 4.30211i | 0.179723 | − | 0.311290i | −0.762062 | − | 0.647504i | \(-0.775813\pi\) |
0.941786 | + | 0.336214i | \(0.109146\pi\) | |||||||
\(192\) | 5.86499 | + | 15.6234i | 0.423269 | + | 1.12752i | ||||
\(193\) | 7.45221 | + | 12.9076i | 0.536422 | + | 0.929110i | 0.999093 | + | 0.0425800i | \(0.0135577\pi\) |
−0.462671 | + | 0.886530i | \(0.653109\pi\) | |||||||
\(194\) | 8.18406 | + | 14.1752i | 0.587581 | + | 1.01772i | ||||
\(195\) | 0.0499500 | + | 0.00829064i | 0.00357699 | + | 0.000593705i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −21.2608 | −1.51477 | −0.757386 | − | 0.652968i | \(-0.773524\pi\) | ||||
−0.757386 | + | 0.652968i | \(0.773524\pi\) | |||||||
\(198\) | 9.70233 | + | 3.31200i | 0.689514 | + | 0.235374i | ||||
\(199\) | −19.9442 | −1.41380 | −0.706902 | − | 0.707311i | \(-0.749908\pi\) | ||||
−0.706902 | + | 0.707311i | \(0.749908\pi\) | |||||||
\(200\) | 1.11168 | − | 1.92549i | 0.0786077 | − | 0.136152i | ||||
\(201\) | 6.80518 | − | 8.27770i | 0.480001 | − | 0.583864i | ||||
\(202\) | 15.2411 | + | 26.3984i | 1.07236 | + | 1.85739i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | −15.2957 | + | 18.6055i | −1.07092 | + | 1.30264i | ||||
\(205\) | −0.169492 | + | 0.293568i | −0.0118378 | + | 0.0205037i | ||||
\(206\) | 0.418838 | 0.0291818 | ||||||||
\(207\) | −17.5511 | − | 5.99127i | −1.21988 | − | 0.416422i | ||||
\(208\) | −0.703175 | −0.0487564 | ||||||||
\(209\) | −5.75556 | + | 9.96893i | −0.398121 | + | 0.689565i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 11.7569 | + | 20.3636i | 0.809381 | + | 1.40189i | 0.913293 | + | 0.407303i | \(0.133531\pi\) |
−0.103912 | + | 0.994587i | \(0.533136\pi\) | |||||||
\(212\) | −5.92742 | − | 10.2666i | −0.407097 | − | 0.705112i | ||||
\(213\) | −0.777647 | − | 2.07153i | −0.0532835 | − | 0.141939i | ||||
\(214\) | 7.15581 | − | 12.3942i | 0.489161 | − | 0.847252i | ||||
\(215\) | 0.275232 | 0.0187707 | ||||||||
\(216\) | 2.04370 | + | 1.09912i | 0.139056 | + | 0.0747860i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 6.83983 | − | 11.8469i | 0.463252 | − | 0.802376i | ||||
\(219\) | 0.947916 | + | 2.52510i | 0.0640543 | + | 0.170630i | ||||
\(220\) | −0.269819 | − | 0.467340i | −0.0181912 | − | 0.0315081i | ||||
\(221\) | −0.626768 | − | 1.08559i | −0.0421610 | − | 0.0730250i | ||||
\(222\) | 24.5647 | + | 4.07722i | 1.64867 | + | 0.273645i | ||||
\(223\) | −2.03052 | + | 3.51696i | −0.135974 | + | 0.235513i | −0.925969 | − | 0.377600i | \(-0.876750\pi\) |
0.789995 | + | 0.613113i | \(0.210083\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 2.88879 | + | 14.6538i | 0.192586 | + | 0.976921i | ||||
\(226\) | 0.0793667 | 0.00527940 | ||||||||
\(227\) | −1.92643 | + | 3.33667i | −0.127861 | + | 0.221462i | −0.922848 | − | 0.385165i | \(-0.874145\pi\) |
0.794986 | + | 0.606627i | \(0.207478\pi\) | |||||||
\(228\) | −16.8725 | + | 20.5235i | −1.11741 | + | 1.35920i | ||||
\(229\) | 6.55812 | + | 11.3590i | 0.433373 | + | 0.750624i | 0.997161 | − | 0.0752952i | \(-0.0239899\pi\) |
−0.563788 | + | 0.825919i | \(0.690657\pi\) | |||||||
\(230\) | 0.928316 | + | 1.60789i | 0.0612113 | + | 0.106021i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −1.10197 | + | 1.90868i | −0.0723481 | + | 0.125311i | ||||
\(233\) | 17.5023 | 1.14661 | 0.573307 | − | 0.819340i | \(-0.305660\pi\) | ||||
0.573307 | + | 0.819340i | \(0.305660\pi\) | |||||||
\(234\) | −0.927288 | + | 0.810410i | −0.0606187 | + | 0.0529781i | ||||
\(235\) | 0.264964 | 0.0172844 | ||||||||
\(236\) | −5.06798 | + | 8.77801i | −0.329898 | + | 0.571400i | ||||
\(237\) | 21.8638 | + | 3.62892i | 1.42020 | + | 0.235724i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 3.65857 | + | 6.33683i | 0.236653 | + | 0.409895i | 0.959752 | − | 0.280849i | \(-0.0906161\pi\) |
−0.723099 | + | 0.690745i | \(0.757283\pi\) | |||||||
\(240\) | 0.313168 | + | 0.834230i | 0.0202149 | + | 0.0538493i | ||||
\(241\) | 3.11553 | − | 5.39626i | 0.200689 | − | 0.347604i | −0.748062 | − | 0.663629i | \(-0.769015\pi\) |
0.948751 | + | 0.316026i | \(0.102349\pi\) | |||||||
\(242\) | −16.9035 | −1.08660 | ||||||||
\(243\) | −15.1962 | + | 3.47486i | −0.974839 | + | 0.222912i | ||||
\(244\) | 1.50405 | 0.0962868 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −2.89764 | − | 7.71886i | −0.184747 | − | 0.492137i | ||||
\(247\) | −0.691380 | − | 1.19751i | −0.0439915 | − | 0.0761954i | ||||
\(248\) | −0.562201 | − | 0.973761i | −0.0356998 | − | 0.0618339i | ||||
\(249\) | 12.8385 | + | 2.13092i | 0.813609 | + | 0.135042i | ||||
\(250\) | 1.49847 | − | 2.59543i | 0.0947717 | − | 0.164149i | ||||
\(251\) | −5.65283 | −0.356803 | −0.178402 | − | 0.983958i | \(-0.557093\pi\) | ||||
−0.178402 | + | 0.983958i | \(0.557093\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −10.2868 | −0.646727 | ||||||||
\(254\) | −13.8404 | + | 23.9722i | −0.868422 | + | 1.50415i | ||||
\(255\) | −1.00878 | + | 1.22707i | −0.0631725 | + | 0.0768419i | ||||
\(256\) | −5.98801 | − | 10.3715i | −0.374250 | − | 0.648221i | ||||
\(257\) | 5.90082 | + | 10.2205i | 0.368083 | + | 0.637539i | 0.989266 | − | 0.146127i | \(-0.0466808\pi\) |
−0.621183 | + | 0.783666i | \(0.713347\pi\) | |||||||
\(258\) | −4.25121 | + | 5.17110i | −0.264669 | + | 0.321939i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 0.0648233 | 0.00402017 | ||||||||
\(261\) | −2.86357 | − | 14.5259i | −0.177250 | − | 0.899129i | ||||
\(262\) | 40.7306 | 2.51634 | ||||||||
\(263\) | 11.1200 | − | 19.2605i | 0.685691 | − | 1.18765i | −0.287528 | − | 0.957772i | \(-0.592834\pi\) |
0.973219 | − | 0.229879i | \(-0.0738331\pi\) | |||||||
\(264\) | 1.26977 | + | 0.210755i | 0.0781489 | + | 0.0129711i | ||||
\(265\) | −0.390925 | − | 0.677101i | −0.0240143 | − | 0.0415940i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −5.51988 | − | 14.7041i | −0.337811 | − | 0.899876i | ||||
\(268\) | 6.85953 | − | 11.8810i | 0.419012 | − | 0.725750i | ||||
\(269\) | −2.38884 | −0.145650 | −0.0728251 | − | 0.997345i | \(-0.523201\pi\) | ||||
−0.0728251 | + | 0.997345i | \(0.523201\pi\) | |||||||
\(270\) | 1.37443 | + | 0.739186i | 0.0836452 | + | 0.0449854i | ||||
\(271\) | −23.2258 | −1.41087 | −0.705435 | − | 0.708775i | \(-0.749248\pi\) | ||||
−0.705435 | + | 0.708775i | \(0.749248\pi\) | |||||||
\(272\) | 11.0302 | − | 19.1049i | 0.668806 | − | 1.15841i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 6.61797 | + | 11.4627i | 0.399806 | + | 0.692484i | ||||
\(275\) | 4.14231 | + | 7.17469i | 0.249790 | + | 0.432650i | ||||
\(276\) | −23.4224 | − | 3.88763i | −1.40987 | − | 0.234008i | ||||
\(277\) | 2.30900 | − | 3.99931i | 0.138734 | − | 0.240295i | −0.788283 | − | 0.615312i | \(-0.789030\pi\) |
0.927018 | + | 0.375017i | \(0.122363\pi\) | |||||||
\(278\) | 25.7333 | 1.54338 | ||||||||
\(279\) | 7.14837 | + | 2.44018i | 0.427962 | + | 0.146090i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 5.90841 | − | 10.2337i | 0.352466 | − | 0.610489i | −0.634215 | − | 0.773157i | \(-0.718676\pi\) |
0.986681 | + | 0.162668i | \(0.0520098\pi\) | |||||||
\(282\) | −4.09261 | + | 4.97818i | −0.243712 | + | 0.296446i | ||||
\(283\) | 7.92483 | + | 13.7262i | 0.471082 | + | 0.815939i | 0.999453 | − | 0.0330753i | \(-0.0105301\pi\) |
−0.528370 | + | 0.849014i | \(0.677197\pi\) | |||||||
\(284\) | −1.41639 | − | 2.45327i | −0.0840475 | − | 0.145575i | ||||
\(285\) | −1.11278 | + | 1.35356i | −0.0659152 | + | 0.0801781i | ||||
\(286\) | −0.341548 | + | 0.591579i | −0.0201962 | + | 0.0349808i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | −23.0466 | − | 7.86723i | −1.35803 | − | 0.463581i | ||||
\(289\) | 22.3267 | 1.31334 | ||||||||
\(290\) | −0.741102 | + | 1.28363i | −0.0435190 | + | 0.0753772i | ||||
\(291\) | −13.6186 | − | 2.26040i | −0.798337 | − | 0.132507i | ||||
\(292\) | 1.72652 | + | 2.99042i | 0.101037 | + | 0.175001i | ||||
\(293\) | −7.04804 | − | 12.2076i | −0.411751 | − | 0.713173i | 0.583330 | − | 0.812235i | \(-0.301749\pi\) |
−0.995081 | + | 0.0990615i | \(0.968416\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −0.334243 | + | 0.578927i | −0.0194604 | + | 0.0337064i | ||||
\(296\) | 3.12628 | 0.181711 | ||||||||
\(297\) | −7.35440 | + | 4.54715i | −0.426746 | + | 0.263853i | ||||
\(298\) | 36.4877 | 2.11367 | ||||||||
\(299\) | 0.617846 | − | 1.07014i | 0.0357310 | − | 0.0618878i | ||||
\(300\) | 6.72029 | + | 17.9018i | 0.387996 | + | 1.03356i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | −8.69307 | − | 15.0568i | −0.500230 | − | 0.866424i | ||||
\(303\) | −25.3619 | − | 4.20953i | −1.45700 | − | 0.241831i | ||||
\(304\) | 12.1673 | − | 21.0744i | 0.697843 | − | 1.20870i | ||||
\(305\) | 0.0991949 | 0.00567988 | ||||||||
\(306\) | −7.47269 | − | 37.9063i | −0.427185 | − | 2.16696i | ||||
\(307\) | −27.3916 | −1.56332 | −0.781660 | − | 0.623704i | \(-0.785627\pi\) | ||||
−0.781660 | + | 0.623704i | \(0.785627\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −0.224332 | + | 0.272873i | −0.0127618 | + | 0.0155232i | ||||
\(310\) | −0.378093 | − | 0.654877i | −0.0214742 | − | 0.0371945i | ||||
\(311\) | −7.02785 | − | 12.1726i | −0.398513 | − | 0.690244i | 0.595030 | − | 0.803704i | \(-0.297140\pi\) |
−0.993543 | + | 0.113459i | \(0.963807\pi\) | |||||||
\(312\) | −0.0981896 | + | 0.119436i | −0.00555889 | + | 0.00676174i | ||||
\(313\) | 10.8723 | − | 18.8314i | 0.614540 | − | 1.06441i | −0.375925 | − | 0.926650i | \(-0.622675\pi\) |
0.990465 | − | 0.137764i | \(-0.0439916\pi\) | |||||||
\(314\) | −11.7045 | −0.660520 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 28.3740 | 1.59616 | ||||||||
\(317\) | −4.28148 | + | 7.41575i | −0.240472 | + | 0.416510i | −0.960849 | − | 0.277073i | \(-0.910636\pi\) |
0.720377 | + | 0.693583i | \(0.243969\pi\) | |||||||
\(318\) | 18.7597 | + | 3.11371i | 1.05199 | + | 0.174608i | ||||
\(319\) | −4.10614 | − | 7.11204i | −0.229900 | − | 0.398198i | ||||
\(320\) | 0.704524 | + | 1.22027i | 0.0393841 | + | 0.0682153i | ||||
\(321\) | 4.24217 | + | 11.3005i | 0.236775 | + | 0.630730i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 43.3808 | 2.41377 | ||||||||
\(324\) | −18.4640 | + | 7.57418i | −1.02578 | + | 0.420788i | ||||
\(325\) | −0.995179 | −0.0552026 | ||||||||
\(326\) | −2.18235 | + | 3.77995i | −0.120869 | + | 0.209352i | ||||
\(327\) | 4.05484 | + | 10.8015i | 0.224233 | + | 0.597322i | ||||
\(328\) | −0.517568 | − | 0.896453i | −0.0285779 | − | 0.0494984i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 0.853949 | + | 0.141737i | 0.0470083 | + | 0.00780239i | ||||
\(331\) | −5.42360 | + | 9.39396i | −0.298108 | + | 0.516339i | −0.975703 | − | 0.219097i | \(-0.929689\pi\) |
0.677595 | + | 0.735435i | \(0.263022\pi\) | |||||||
\(332\) | 16.6614 | 0.914413 | ||||||||
\(333\) | −15.8133 | + | 13.8201i | −0.866564 | + | 0.757340i | ||||
\(334\) | −23.7698 | −1.30063 | ||||||||
\(335\) | 0.452399 | − | 0.783578i | 0.0247172 | − | 0.0428114i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 1.67411 | + | 2.89964i | 0.0911945 | + | 0.157954i | 0.908014 | − | 0.418940i | \(-0.137598\pi\) |
−0.816819 | + | 0.576893i | \(0.804265\pi\) | |||||||
\(338\) | 13.3077 | + | 23.0496i | 0.723842 | + | 1.25373i | ||||
\(339\) | −0.0425093 | + | 0.0517076i | −0.00230879 | + | 0.00280837i | ||||
\(340\) | −1.01684 | + | 1.76122i | −0.0551459 | + | 0.0955154i | ||||
\(341\) | 4.18971 | 0.226886 | ||||||||
\(342\) | −8.24304 | − | 41.8140i | −0.445732 | − | 2.26104i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | −0.420231 | + | 0.727861i | −0.0226573 | + | 0.0392437i | ||||
\(345\) | −1.54476 | − | 0.256397i | −0.0831669 | − | 0.0138039i | ||||
\(346\) | −16.3377 | − | 28.2977i | −0.878319 | − | 1.52129i | ||||
\(347\) | 5.76652 | + | 9.98790i | 0.309563 | + | 0.536178i | 0.978267 | − | 0.207350i | \(-0.0664840\pi\) |
−0.668704 | + | 0.743529i | \(0.733151\pi\) | |||||||
\(348\) | −6.66161 | − | 17.7455i | −0.357100 | − | 0.951257i | ||||
\(349\) | 4.44917 | − | 7.70619i | 0.238159 | − | 0.412503i | −0.722027 | − | 0.691865i | \(-0.756789\pi\) |
0.960186 | + | 0.279362i | \(0.0901228\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −0.0313221 | − | 1.03819i | −0.00167185 | − | 0.0554145i | ||||
\(352\) | −13.5078 | −0.719968 | ||||||||
\(353\) | −1.32349 | + | 2.29236i | −0.0704424 | + | 0.122010i | −0.899095 | − | 0.437753i | \(-0.855774\pi\) |
0.828653 | + | 0.559763i | \(0.189108\pi\) | |||||||
\(354\) | −5.71425 | − | 15.2219i | −0.303709 | − | 0.809032i | ||||
\(355\) | −0.0934139 | − | 0.161798i | −0.00495790 | − | 0.00858733i | ||||
\(356\) | −10.0538 | − | 17.4137i | −0.532852 | − | 0.922926i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 7.96127 | − | 13.7893i | 0.420766 | − | 0.728789i | ||||
\(359\) | 25.9671 | 1.37049 | 0.685245 | − | 0.728312i | \(-0.259695\pi\) | ||||
0.685245 | + | 0.728312i | \(0.259695\pi\) | |||||||
\(360\) | 0.185426 | + | 0.0632974i | 0.00977282 | + | 0.00333607i | ||||
\(361\) | 28.8529 | 1.51857 | ||||||||
\(362\) | −12.4880 | + | 21.6299i | −0.656357 | + | 1.13684i | ||||
\(363\) | 9.05362 | − | 11.0127i | 0.475192 | − | 0.578014i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 0.113867 | + | 0.197224i | 0.00596009 | + | 0.0103232i | ||||
\(366\) | −1.53215 | + | 1.86369i | −0.0800870 | + | 0.0974164i | ||||
\(367\) | 8.79371 | − | 15.2312i | 0.459028 | − | 0.795060i | −0.539882 | − | 0.841741i | \(-0.681531\pi\) |
0.998910 | + | 0.0466808i | \(0.0148644\pi\) | |||||||
\(368\) | 21.7464 | 1.13361 | ||||||||
\(369\) | 6.58085 | + | 2.24645i | 0.342585 | + | 0.116946i | ||||
\(370\) | 2.10249 | 0.109303 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 9.53971 | + | 1.58339i | 0.494611 | + | 0.0820950i | ||||
\(373\) | −0.407538 | − | 0.705876i | −0.0211015 | − | 0.0365489i | 0.855282 | − | 0.518163i | \(-0.173384\pi\) |
−0.876383 | + | 0.481614i | \(0.840051\pi\) | |||||||
\(374\) | −10.7153 | − | 18.5594i | −0.554074 | − | 0.959684i | ||||
\(375\) | 0.888336 | + | 2.36639i | 0.0458735 | + | 0.122200i | ||||
\(376\) | −0.404553 | + | 0.700707i | −0.0208632 | + | 0.0361362i | ||||
\(377\) | 0.986490 | 0.0508068 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −20.4312 | −1.04948 | −0.524741 | − | 0.851262i | \(-0.675838\pi\) | ||||
−0.524741 | + | 0.851262i | \(0.675838\pi\) | |||||||
\(380\) | −1.12166 | + | 1.94278i | −0.0575401 | + | 0.0996624i | ||||
\(381\) | −8.20496 | − | 21.8567i | −0.420353 | − | 1.11975i | ||||
\(382\) | 5.10090 | + | 8.83501i | 0.260985 | + | 0.452039i | ||||
\(383\) | 8.94638 | + | 15.4956i | 0.457139 | + | 0.791788i | 0.998808 | − | 0.0488039i | \(-0.0155409\pi\) |
−0.541670 | + | 0.840591i | \(0.682208\pi\) | |||||||
\(384\) | −6.06843 | − | 1.00723i | −0.309678 | − | 0.0514000i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −30.6084 | −1.55793 | ||||||||
\(387\) | −1.09200 | − | 5.53935i | −0.0555097 | − | 0.281581i | ||||
\(388\) | −17.6738 | −0.897249 | ||||||||
\(389\) | −7.81392 | + | 13.5341i | −0.396181 | + | 0.686206i | −0.993251 | − | 0.115983i | \(-0.962998\pi\) |
0.597070 | + | 0.802189i | \(0.296331\pi\) | |||||||
\(390\) | −0.0660347 | + | 0.0803234i | −0.00334380 | + | 0.00406734i | ||||
\(391\) | 19.3835 | + | 33.5731i | 0.980264 | + | 1.69787i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −21.8156 | + | 26.5360i | −1.10045 | + | 1.33857i | ||||
\(394\) | 21.8311 | − | 37.8126i | 1.09984 | − | 1.90497i | ||||
\(395\) | 1.87132 | 0.0941564 | ||||||||
\(396\) | −8.33520 | + | 7.28460i | −0.418860 | + | 0.366065i | ||||
\(397\) | 19.2613 | 0.966696 | 0.483348 | − | 0.875428i | \(-0.339421\pi\) | ||||
0.483348 | + | 0.875428i | \(0.339421\pi\) | |||||||
\(398\) | 20.4791 | − | 35.4709i | 1.02653 | − | 1.77799i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −8.75687 | − | 15.1673i | −0.437843 | − | 0.758367i | ||||
\(401\) | −7.15064 | − | 12.3853i | −0.357086 | − | 0.618491i | 0.630387 | − | 0.776281i | \(-0.282896\pi\) |
−0.987473 | + | 0.157790i | \(0.949563\pi\) | |||||||
\(402\) | 7.73425 | + | 20.6028i | 0.385749 | + | 1.02757i | ||||
\(403\) | −0.251642 | + | 0.435857i | −0.0125352 | + | 0.0217116i | ||||
\(404\) | −32.9137 | −1.63752 | ||||||||
\(405\) | −1.21774 | + | 0.499532i | −0.0605098 | + | 0.0248219i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −5.82452 | + | 10.0884i | −0.288711 | + | 0.500062i | ||||
\(408\) | −1.70479 | − | 4.54128i | −0.0843994 | − | 0.224827i | ||||
\(409\) | 15.9305 | + | 27.5924i | 0.787712 | + | 1.36436i | 0.927366 | + | 0.374156i | \(0.122068\pi\) |
−0.139654 | + | 0.990200i | \(0.544599\pi\) | |||||||
\(410\) | −0.348076 | − | 0.602885i | −0.0171902 | − | 0.0297744i | ||||
\(411\) | −11.0126 | − | 1.82785i | −0.543210 | − | 0.0901614i | ||||
\(412\) | −0.226124 | + | 0.391657i | −0.0111403 | + | 0.0192956i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 28.6774 | − | 25.0628i | 1.40942 | − | 1.23177i | ||||
\(415\) | 1.09885 | 0.0539405 | ||||||||
\(416\) | 0.811304 | − | 1.40522i | 0.0397774 | − | 0.0688965i | ||||
\(417\) | −13.7829 | + | 16.7653i | −0.674952 | + | 0.821000i | ||||
\(418\) | −11.8199 | − | 20.4726i | −0.578130 | − | 1.00135i | ||||
\(419\) | −11.9480 | − | 20.6945i | −0.583697 | − | 1.01099i | −0.995036 | − | 0.0995110i | \(-0.968272\pi\) |
0.411339 | − | 0.911482i | \(-0.365061\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −1.22251 | + | 2.11744i | −0.0595813 | + | 0.103198i | −0.894278 | − | 0.447513i | \(-0.852310\pi\) |
0.834696 | + | 0.550711i | \(0.185643\pi\) | |||||||
\(422\) | −48.2892 | −2.35068 | ||||||||
\(423\) | −1.05126 | − | 5.33269i | −0.0511142 | − | 0.259284i | ||||
\(424\) | 2.38749 | 0.115947 | ||||||||
\(425\) | 15.6107 | − | 27.0385i | 0.757230 | − | 1.31156i | ||||
\(426\) | 4.48274 | + | 0.744039i | 0.217189 | + | 0.0360488i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 7.72661 | + | 13.3829i | 0.373480 | + | 0.646886i | ||||
\(429\) | −0.202479 | − | 0.539373i | −0.00977580 | − | 0.0260412i | ||||
\(430\) | −0.282615 | + | 0.489503i | −0.0136289 | + | 0.0236059i | ||||
\(431\) | −4.92764 | −0.237356 | −0.118678 | − | 0.992933i | \(-0.537866\pi\) | ||||
−0.118678 | + | 0.992933i | \(0.537866\pi\) | |||||||
\(432\) | 15.5473 | − | 9.61272i | 0.748018 | − | 0.462492i | ||||
\(433\) | −30.8539 | −1.48274 | −0.741371 | − | 0.671095i | \(-0.765824\pi\) | ||||
−0.741371 | + | 0.671095i | \(0.765824\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −0.439346 | − | 1.17035i | −0.0210650 | − | 0.0561139i | ||||
\(436\) | 7.38543 | + | 12.7919i | 0.353698 | + | 0.612622i | ||||
\(437\) | 21.3817 | + | 37.0341i | 1.02282 | + | 1.77158i | ||||
\(438\) | −5.46425 | − | 0.906950i | −0.261092 | − | 0.0433358i | ||||
\(439\) | 1.22411 | − | 2.12022i | 0.0584235 | − | 0.101192i | −0.835334 | − | 0.549742i | \(-0.814726\pi\) |
0.893758 | + | 0.448550i | \(0.148059\pi\) | |||||||
\(440\) | 0.108680 | 0.00518110 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 2.57432 | 0.122448 | ||||||||
\(443\) | 13.1475 | − | 22.7722i | 0.624657 | − | 1.08194i | −0.363950 | − | 0.931419i | \(-0.618572\pi\) |
0.988607 | − | 0.150520i | \(-0.0480946\pi\) | |||||||
\(444\) | −17.0747 | + | 20.7693i | −0.810329 | + | 0.985670i | ||||
\(445\) | −0.663069 | − | 1.14847i | −0.0314325 | − | 0.0544427i | ||||
\(446\) | −4.16996 | − | 7.22259i | −0.197453 | − | 0.341999i | ||||
\(447\) | −19.5430 | + | 23.7718i | −0.924354 | + | 1.12437i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −38.7077 | −1.82673 | −0.913365 | − | 0.407141i | \(-0.866526\pi\) | ||||
−0.913365 | + | 0.407141i | \(0.866526\pi\) | |||||||
\(450\) | −29.0282 | − | 9.90912i | −1.36840 | − | 0.467120i | ||||
\(451\) | 3.85709 | 0.181623 | ||||||||
\(452\) | −0.0428488 | + | 0.0742163i | −0.00201544 | + | 0.00349084i | ||||
\(453\) | 14.4656 | + | 2.40099i | 0.679655 | + | 0.112808i | ||||
\(454\) | −3.95620 | − | 6.85233i | −0.185673 | − | 0.321596i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −1.88053 | − | 5.00943i | −0.0880638 | − | 0.234588i | ||||
\(457\) | 4.57756 | − | 7.92856i | 0.214129 | − | 0.370882i | −0.738874 | − | 0.673844i | \(-0.764642\pi\) |
0.953003 | + | 0.302961i | \(0.0979754\pi\) | |||||||
\(458\) | −26.9361 | −1.25864 | ||||||||
\(459\) | 28.6985 | + | 15.4344i | 1.33953 | + | 0.720416i | ||||
\(460\) | −2.00473 | −0.0934710 | ||||||||
\(461\) | −14.6152 | + | 25.3143i | −0.680698 | + | 1.17900i | 0.294070 | + | 0.955784i | \(0.404990\pi\) |
−0.974768 | + | 0.223220i | \(0.928343\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −8.21031 | − | 14.2207i | −0.381565 | − | 0.660891i | 0.609721 | − | 0.792616i | \(-0.291282\pi\) |
−0.991286 | + | 0.131726i | \(0.957948\pi\) | |||||||
\(464\) | 8.68041 | + | 15.0349i | 0.402978 | + | 0.697978i | ||||
\(465\) | 0.629162 | + | 0.104428i | 0.0291767 | + | 0.00484272i | ||||
\(466\) | −17.9718 | + | 31.1280i | −0.832526 | + | 1.44198i | ||||
\(467\) | 15.3726 | 0.711361 | 0.355680 | − | 0.934608i | \(-0.384249\pi\) | ||||
0.355680 | + | 0.934608i | \(0.384249\pi\) | |||||||
\(468\) | −0.257191 | − | 1.30464i | −0.0118887 | − | 0.0603070i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | −0.272071 | + | 0.471241i | −0.0125497 | + | 0.0217367i | ||||
\(471\) | 6.26898 | − | 7.62547i | 0.288859 | − | 0.351363i | ||||
\(472\) | −1.02066 | − | 1.76784i | −0.0469797 | − | 0.0813713i | ||||
\(473\) | −1.56585 | − | 2.71213i | −0.0719979 | − | 0.124704i | ||||
\(474\) | −28.9043 | + | 35.1586i | −1.32762 | + | 1.61489i | ||||
\(475\) | 17.2200 | − | 29.8259i | 0.790106 | − | 1.36850i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −12.0764 | + | 10.5542i | −0.552939 | + | 0.483245i | ||||
\(478\) | −15.0268 | −0.687310 | ||||||||
\(479\) | −18.9646 | + | 32.8476i | −0.866513 | + | 1.50084i | −0.000975329 | 1.00000i | \(0.500310\pi\) | |
−0.865537 | + | 0.500844i | \(0.833023\pi\) | |||||||
\(480\) | −2.02844 | − | 0.336679i | −0.0925854 | − | 0.0153672i | ||||
\(481\) | −0.699663 | − | 1.21185i | −0.0319019 | − | 0.0552557i | ||||
\(482\) | 6.39820 | + | 11.0820i | 0.291430 | + | 0.504772i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 9.12591 | − | 15.8065i | 0.414814 | − | 0.718479i | ||||
\(485\) | −1.16562 | −0.0529280 | ||||||||
\(486\) | 9.42377 | − | 30.5947i | 0.427471 | − | 1.38780i | ||||
\(487\) | −4.60495 | −0.208670 | −0.104335 | − | 0.994542i | \(-0.533271\pi\) | ||||
−0.104335 | + | 0.994542i | \(0.533271\pi\) | |||||||
\(488\) | −0.151453 | + | 0.262324i | −0.00685595 | + | 0.0118749i | ||||
\(489\) | −1.29376 | − | 3.44637i | −0.0585058 | − | 0.155850i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −15.1876 | − | 26.3056i | −0.685405 | − | 1.18716i | −0.973309 | − | 0.229497i | \(-0.926292\pi\) |
0.287904 | − | 0.957659i | \(-0.407042\pi\) | |||||||
\(492\) | 8.78234 | + | 1.45768i | 0.395939 | + | 0.0657174i | ||||
\(493\) | −15.4744 | + | 26.8024i | −0.696932 | + | 1.20712i | ||||
\(494\) | 2.83970 | 0.127764 | ||||||||
\(495\) | −0.549722 | + | 0.480434i | −0.0247082 | + | 0.0215939i | ||||
\(496\) | −8.85709 | −0.397695 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | −16.9728 | + | 20.6454i | −0.760568 | + | 0.925141i | ||||
\(499\) | −4.63436 | − | 8.02694i | −0.207462 | − | 0.359335i | 0.743452 | − | 0.668789i | \(-0.233187\pi\) |
−0.950914 | + | 0.309454i | \(0.899854\pi\) | |||||||
\(500\) | 1.61800 | + | 2.80246i | 0.0723592 | + | 0.125330i | ||||
\(501\) | 12.7313 | − | 15.4861i | 0.568792 | − | 0.691868i | ||||
\(502\) | 5.80445 | − | 10.0536i | 0.259065 | − | 0.448715i | ||||
\(503\) | 22.4230 | 0.999791 | 0.499896 | − | 0.866086i | \(-0.333372\pi\) | ||||
0.499896 | + | 0.866086i | \(0.333372\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −2.17072 | −0.0965960 | ||||||||
\(506\) | 10.5627 | − | 18.2952i | 0.469571 | − | 0.813321i | ||||
\(507\) | −22.1445 | − | 3.67552i | −0.983472 | − | 0.163235i | ||||
\(508\) | −14.9444 | − | 25.8844i | −0.663050 | − | 1.14844i | ||||
\(509\) | −18.8207 | − | 32.5984i | −0.834213 | − | 1.44490i | −0.894670 | − | 0.446728i | \(-0.852589\pi\) |
0.0604572 | − | 0.998171i | \(-0.480744\pi\) | |||||||
\(510\) | −1.14651 | − | 3.05411i | −0.0507682 | − | 0.135238i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 31.6976 | 1.40085 | ||||||||
\(513\) | 31.6569 | + | 17.0255i | 1.39769 | + | 0.751694i | ||||
\(514\) | −24.2364 | −1.06902 | ||||||||
\(515\) | −0.0149133 | + | 0.0258306i | −0.000657158 | + | 0.00113823i | ||||
\(516\) | −2.54036 | − | 6.76713i | −0.111833 | − | 0.297906i | ||||
\(517\) | −1.50743 | − | 2.61095i | −0.0662969 | − | 0.114830i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 27.1866 | + | 4.51240i | 1.19336 | + | 0.198072i | ||||
\(520\) | −0.00652751 | + | 0.0113060i | −0.000286250 | + | 0.000495800i | ||||
\(521\) | 34.9283 | 1.53023 | 0.765117 | − | 0.643891i | \(-0.222681\pi\) | ||||
0.765117 | + | 0.643891i | \(0.222681\pi\) | |||||||
\(522\) | 28.7748 | + | 9.82260i | 1.25944 | + | 0.429924i | ||||
\(523\) | −23.7471 | −1.03839 | −0.519194 | − | 0.854656i | \(-0.673768\pi\) | ||||
−0.519194 | + | 0.854656i | \(0.673768\pi\) | |||||||
\(524\) | −21.9898 | + | 38.0874i | −0.960628 | + | 1.66386i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 22.8366 | + | 39.5542i | 0.995723 | + | 1.72464i | ||||
\(527\) | −7.89468 | − | 13.6740i | −0.343898 | − | 0.595648i | ||||
\(528\) | 6.43881 | − | 7.83205i | 0.280213 | − | 0.340846i | ||||
\(529\) | −7.60755 | + | 13.1767i | −0.330763 | + | 0.572898i | ||||
\(530\) | 1.60564 | 0.0697446 | ||||||||
\(531\) | 12.9777 | + | 4.43008i | 0.563182 | + | 0.192249i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −0.231664 | + | 0.401254i | −0.0100345 | + | 0.0173802i | ||||
\(534\) | 31.8193 | + | 5.28133i | 1.37696 | + | 0.228545i | ||||
\(535\) | 0.509585 | + | 0.882627i | 0.0220313 | + | 0.0381593i | ||||
\(536\) | 1.38147 | + | 2.39277i | 0.0596702 | + | 0.103352i | ||||
\(537\) | 4.71967 | + | 12.5724i | 0.203669 | + | 0.542541i | ||||
\(538\) | 2.45292 | − | 4.24857i | 0.105753 | − | 0.183169i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −1.43325 | + | 0.886164i | −0.0616773 | + | 0.0381344i | ||||
\(541\) | −17.1708 | −0.738232 | −0.369116 | − | 0.929383i | \(-0.620340\pi\) | ||||
−0.369116 | + | 0.929383i | \(0.620340\pi\) | |||||||
\(542\) | 23.8488 | − | 41.3074i | 1.02439 | − | 1.77430i | ||||
\(543\) | −7.40327 | − | 19.7211i | −0.317705 | − | 0.846314i | ||||
\(544\) | 25.4527 | + | 44.0854i | 1.09128 | + | 1.89015i | ||||
\(545\) | 0.487083 | + | 0.843653i | 0.0208643 | + | 0.0361381i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −10.0046 | + | 17.3284i | −0.427765 | + | 0.740910i | −0.996674 | − | 0.0814901i | \(-0.974032\pi\) |
0.568910 | + | 0.822400i | \(0.307365\pi\) | |||||||
\(548\) | −14.2917 | −0.610512 | ||||||||
\(549\) | −0.393563 | − | 1.99640i | −0.0167968 | − | 0.0852044i | ||||
\(550\) | −17.0137 | −0.725465 | ||||||||
\(551\) | −17.0696 | + | 29.5654i | −0.727190 | + | 1.25953i | ||||
\(552\) | 3.03662 | − | 3.69369i | 0.129247 | − | 0.157214i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 4.74187 | + | 8.21316i | 0.201463 | + | 0.348944i | ||||
\(555\) | −1.12611 | + | 1.36978i | −0.0478007 | + | 0.0581439i | ||||
\(556\) | −13.8930 | + | 24.0633i | −0.589193 | + | 1.02051i | ||||
\(557\) | 0.245481 | 0.0104014 | 0.00520068 | − | 0.999986i | \(-0.498345\pi\) | ||||
0.00520068 | + | 0.999986i | \(0.498345\pi\) | |||||||
\(558\) | −11.6800 | + | 10.2078i | −0.494453 | + | 0.432131i | ||||
\(559\) | 0.376192 | 0.0159112 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 17.8307 | + | 2.95951i | 0.752811 | + | 0.124951i | ||||
\(562\) | 12.1338 | + | 21.0163i | 0.511833 | + | 0.886520i | ||||
\(563\) | −22.1255 | − | 38.3224i | −0.932477 | − | 1.61510i | −0.779073 | − | 0.626934i | \(-0.784310\pi\) |
−0.153404 | − | 0.988164i | \(-0.549024\pi\) | |||||||
\(564\) | −2.44559 | − | 6.51466i | −0.102978 | − | 0.274317i | ||||
\(565\) | −0.00282596 | + | 0.00489471i | −0.000118889 | + | 0.000205922i | ||||
\(566\) | −32.5496 | −1.36816 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0.570506 | 0.0239379 | ||||||||
\(569\) | 2.76767 | − | 4.79374i | 0.116027 | − | 0.200964i | −0.802163 | − | 0.597105i | \(-0.796318\pi\) |
0.918190 | + | 0.396141i | \(0.129651\pi\) | |||||||
\(570\) | −1.26470 | − | 3.36895i | −0.0529723 | − | 0.141110i | ||||
\(571\) | 2.05191 | + | 3.55400i | 0.0858696 | + | 0.148730i | 0.905761 | − | 0.423788i | \(-0.139300\pi\) |
−0.819892 | + | 0.572518i | \(0.805966\pi\) | |||||||
\(572\) | −0.368793 | − | 0.638768i | −0.0154200 | − | 0.0267082i | ||||
\(573\) | −8.48810 | − | 1.40884i | −0.354595 | − | 0.0588553i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 30.7770 | 1.28349 | ||||||||
\(576\) | 21.7640 | − | 19.0208i | 0.906835 | − | 0.792535i | ||||
\(577\) | −5.64550 | −0.235025 | −0.117513 | − | 0.993071i | \(-0.537492\pi\) | ||||
−0.117513 | + | 0.993071i | \(0.537492\pi\) | |||||||
\(578\) | −22.9256 | + | 39.7083i | −0.953579 | + | 1.65165i | ||||
\(579\) | 16.3941 | − | 19.9414i | 0.681314 | − | 0.828737i | ||||
\(580\) | −0.800218 | − | 1.38602i | −0.0332272 | − | 0.0575513i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 18.0040 | − | 21.8998i | 0.746292 | − | 0.907776i | ||||
\(583\) | −4.44809 | + | 7.70433i | −0.184221 | + | 0.319081i | ||||
\(584\) | −0.695420 | −0.0287767 | ||||||||
\(585\) | −0.0169623 | − | 0.0860435i | −0.000701303 | − | 0.00355746i | ||||
\(586\) | 28.9483 | 1.19585 | ||||||||
\(587\) | −9.36644 | + | 16.2232i | −0.386595 | + | 0.669601i | −0.991989 | − | 0.126324i | \(-0.959682\pi\) |
0.605394 | + | 0.795926i | \(0.293015\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −8.70852 | − | 15.0836i | −0.358828 | − | 0.621509i | ||||
\(590\) | −0.686417 | − | 1.18891i | −0.0282594 | − | 0.0489466i | ||||
\(591\) | 12.9421 | + | 34.4757i | 0.532366 | + | 1.41814i | ||||
\(592\) | 12.3131 | − | 21.3269i | 0.506065 | − | 0.876530i | ||||
\(593\) | −18.8703 | −0.774912 | −0.387456 | − | 0.921888i | \(-0.626646\pi\) | ||||
−0.387456 | + | 0.921888i | \(0.626646\pi\) | |||||||
\(594\) | −0.535484 | − | 17.7490i | −0.0219712 | − | 0.728250i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −19.6991 | + | 34.1198i | −0.806906 | + | 1.39760i | ||||
\(597\) | 12.1406 | + | 32.3406i | 0.496882 | + | 1.32361i | ||||
\(598\) | 1.26884 | + | 2.19769i | 0.0518866 | + | 0.0898702i | ||||
\(599\) | −1.33726 | − | 2.31620i | −0.0546388 | − | 0.0946372i | 0.837412 | − | 0.546572i | \(-0.184067\pi\) |
−0.892051 | + | 0.451934i | \(0.850734\pi\) | |||||||
\(600\) | −3.79900 | − | 0.630553i | −0.155094 | − | 0.0257422i | ||||
\(601\) | 6.60716 | − | 11.4439i | 0.269511 | − | 0.466808i | −0.699224 | − | 0.714902i | \(-0.746471\pi\) |
0.968736 | + | 0.248095i | \(0.0798044\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −17.5653 | − | 5.99612i | −0.715313 | − | 0.244181i | ||||
\(604\) | 18.7730 | 0.763862 | ||||||||
\(605\) | 0.601872 | − | 1.04247i | 0.0244696 | − | 0.0423825i | ||||
\(606\) | 33.5288 | − | 40.7838i | 1.36201 | − | 1.65673i | ||||
\(607\) | 12.9026 | + | 22.3480i | 0.523701 | + | 0.907076i | 0.999619 | + | 0.0275869i | \(0.00878231\pi\) |
−0.475919 | + | 0.879489i | \(0.657884\pi\) | |||||||
\(608\) | 28.0766 | + | 48.6301i | 1.13866 | + | 1.97221i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −0.101856 | + | 0.176419i | −0.00412401 | + | 0.00714299i | ||||
\(611\) | 0.362157 | 0.0146513 | ||||||||
\(612\) | 39.4808 | + | 13.4772i | 1.59592 | + | 0.544785i | ||||
\(613\) | −26.9533 | −1.08863 | −0.544316 | − | 0.838880i | \(-0.683211\pi\) | ||||
−0.544316 | + | 0.838880i | \(0.683211\pi\) | |||||||
\(614\) | 28.1263 | − | 48.7162i | 1.13509 | − | 1.96603i | ||||
\(615\) | 0.579212 | + | 0.0961370i | 0.0233561 | + | 0.00387662i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −4.76588 | − | 8.25474i | −0.191867 | − | 0.332323i | 0.754002 | − | 0.656872i | \(-0.228121\pi\) |
−0.945869 | + | 0.324549i | \(0.894788\pi\) | |||||||
\(618\) | −0.254959 | − | 0.679169i | −0.0102559 | − | 0.0273202i | ||||
\(619\) | 17.3536 | − | 30.0573i | 0.697499 | − | 1.20810i | −0.271832 | − | 0.962345i | \(-0.587630\pi\) |
0.969331 | − | 0.245759i | \(-0.0790371\pi\) | |||||||
\(620\) | 0.816505 | 0.0327916 | ||||||||
\(621\) | 0.968668 | + | 32.1072i | 0.0388713 | + | 1.28842i | ||||
\(622\) | 28.8654 | 1.15740 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 0.428043 | + | 1.14024i | 0.0171354 | + | 0.0456461i | ||||
\(625\) | −12.3398 | − | 21.3732i | −0.493593 | − | 0.854928i | ||||
\(626\) | 22.3279 | + | 38.6730i | 0.892402 | + | 1.54568i | ||||
\(627\) | 19.6688 | + | 3.26460i | 0.785495 | + | 0.130376i | ||||
\(628\) | 6.31904 | − | 10.9449i | 0.252157 | − | 0.436749i | ||||
\(629\) | 43.9006 | 1.75043 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −36.7963 | −1.46484 | −0.732419 | − | 0.680854i | \(-0.761609\pi\) | ||||
−0.732419 | + | 0.680854i | \(0.761609\pi\) | |||||||
\(632\) | −2.85718 | + | 4.94877i | −0.113652 | + | 0.196852i | ||||
\(633\) | 25.8640 | − | 31.4605i | 1.02800 | − | 1.25044i | ||||
\(634\) | −8.79265 | − | 15.2293i | −0.349201 | − | 0.604833i | ||||
\(635\) | −0.985611 | − | 1.70713i | −0.0391128 | − | 0.0677453i | ||||
\(636\) | −13.0397 | + | 15.8612i | −0.517057 | + | 0.628938i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 16.8651 | 0.667696 | ||||||||
\(639\) | −2.88573 | + | 2.52200i | −0.114158 | + | 0.0997688i | ||||
\(640\) | −0.519397 | −0.0205310 | ||||||||
\(641\) | 22.0922 | − | 38.2648i | 0.872590 | − | 1.51137i | 0.0132813 | − | 0.999912i | \(-0.495772\pi\) |
0.859308 | − | 0.511458i | \(-0.170894\pi\) | |||||||
\(642\) | −24.4539 | − | 4.05883i | −0.965119 | − | 0.160189i | ||||
\(643\) | −7.24065 | − | 12.5412i | −0.285543 | − | 0.494575i | 0.687197 | − | 0.726471i | \(-0.258841\pi\) |
−0.972741 | + | 0.231895i | \(0.925507\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −0.167542 | − | 0.446305i | −0.00659696 | − | 0.0175732i | ||||
\(646\) | −44.5444 | + | 77.1532i | −1.75258 | + | 3.03555i | ||||
\(647\) | −33.3071 | −1.30944 | −0.654719 | − | 0.755872i | \(-0.727213\pi\) | ||||
−0.654719 | + | 0.755872i | \(0.727213\pi\) | |||||||
\(648\) | 0.538237 | − | 3.98304i | 0.0211440 | − | 0.156469i | ||||
\(649\) | 7.60631 | 0.298574 | ||||||||
\(650\) | 1.02187 | − | 1.76993i | 0.0400811 | − | 0.0694225i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −2.35643 | − | 4.08146i | −0.0922850 | − | 0.159842i | ||||
\(653\) | 4.53322 | + | 7.85176i | 0.177398 | + | 0.307263i | 0.940989 | − | 0.338438i | \(-0.109899\pi\) |
−0.763590 | + | 0.645701i | \(0.776565\pi\) | |||||||
\(654\) | −23.3741 | − | 3.87961i | −0.913999 | − | 0.151705i | ||||
\(655\) | −1.45027 | + | 2.51194i | −0.0566666 | + | 0.0981495i | ||||
\(656\) | −8.15391 | −0.318357 | ||||||||
\(657\) | 3.51757 | − | 3.07420i | 0.137233 | − | 0.119936i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 16.1806 | − | 28.0256i | 0.630305 | − | 1.09172i | −0.357184 | − | 0.934034i | \(-0.616263\pi\) |
0.987489 | − | 0.157686i | \(-0.0504035\pi\) | |||||||
\(660\) | −0.593572 | + | 0.722010i | −0.0231048 | + | 0.0281042i | ||||
\(661\) | −4.32958 | − | 7.49905i | −0.168401 | − | 0.291679i | 0.769457 | − | 0.638699i | \(-0.220527\pi\) |
−0.937858 | + | 0.347020i | \(0.887194\pi\) | |||||||
\(662\) | −11.1382 | − | 19.2919i | −0.432897 | − | 0.749799i | ||||
\(663\) | −1.37882 | + | 1.67717i | −0.0535490 | + | 0.0651360i | ||||
\(664\) | −1.67775 | + | 2.90595i | −0.0651094 | + | 0.112773i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −8.34179 | − | 42.3150i | −0.323238 | − | 1.63967i | ||||
\(667\) | −30.5083 | −1.18128 | ||||||||
\(668\) | 12.8329 | − | 22.2273i | 0.496522 | − | 0.860001i | ||||
\(669\) | 6.93899 | + | 1.15173i | 0.268277 | + | 0.0445283i | ||||
\(670\) | 0.929067 | + | 1.60919i | 0.0358930 | + | 0.0621685i | ||||
\(671\) | −0.564339 | − | 0.977464i | −0.0217861 | − | 0.0377346i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 7.24842 | − | 12.5546i | 0.279406 | − | 0.483946i | −0.691831 | − | 0.722059i | \(-0.743196\pi\) |
0.971237 | + | 0.238114i | \(0.0765291\pi\) | |||||||
\(674\) | −6.87605 | −0.264856 | ||||||||
\(675\) | 22.0035 | − | 13.6045i | 0.846915 | − | 0.523639i | ||||
\(676\) | −28.7384 | −1.10532 | ||||||||
\(677\) | 19.1657 | − | 33.1960i | 0.736600 | − | 1.27583i | −0.217418 | − | 0.976078i | \(-0.569764\pi\) |
0.954018 | − | 0.299749i | \(-0.0969030\pi\) | |||||||
\(678\) | −0.0483128 | − | 0.128698i | −0.00185544 | − | 0.00494260i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | −0.204785 | − | 0.354698i | −0.00785315 | − | 0.0136021i | ||||
\(681\) | 6.58327 | + | 1.09268i | 0.252271 | + | 0.0418717i | ||||
\(682\) | −4.30209 | + | 7.45144i | −0.164736 | + | 0.285330i | ||||
\(683\) | 6.63318 | 0.253812 | 0.126906 | − | 0.991915i | \(-0.459495\pi\) | ||||
0.126906 | + | 0.991915i | \(0.459495\pi\) | |||||||
\(684\) | 43.5508 | + | 14.8666i | 1.66521 | + | 0.568438i | ||||
\(685\) | −0.942567 | −0.0360136 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 14.4272 | − | 17.5489i | 0.550430 | − | 0.669534i | ||||
\(688\) | 3.31022 | + | 5.73347i | 0.126201 | + | 0.218587i | ||||
\(689\) | −0.534322 | − | 0.925472i | −0.0203560 | − | 0.0352577i | ||||
\(690\) | 2.04219 | − | 2.48409i | 0.0777450 | − | 0.0945676i | ||||
\(691\) | −11.6938 | + | 20.2542i | −0.444852 | + | 0.770506i | −0.998042 | − | 0.0625490i | \(-0.980077\pi\) |
0.553190 | + | 0.833055i | \(0.313410\pi\) | |||||||
\(692\) | 35.2818 | 1.34121 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −23.6848 | −0.899061 | ||||||||
\(695\) | −0.916269 | + | 1.58702i | −0.0347561 | + | 0.0601992i | ||||
\(696\) | 3.76583 | + | 0.625048i | 0.142743 | + | 0.0236924i | ||||
\(697\) | −7.26791 | − | 12.5884i | −0.275292 | − | 0.476819i | ||||
\(698\) | 9.13702 | + | 15.8258i | 0.345841 | + | 0.599015i | ||||
\(699\) | −10.6542 | − | 28.3810i | −0.402978 | − | 1.07347i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 9.26736 | 0.350023 | 0.175012 | − | 0.984566i | \(-0.444004\pi\) | ||||
0.175012 | + | 0.984566i | \(0.444004\pi\) | |||||||
\(702\) | 1.87859 | + | 1.01033i | 0.0709029 | + | 0.0381325i | ||||
\(703\) | 48.4262 | 1.82643 | ||||||||
\(704\) | 8.01636 | − | 13.8847i | 0.302128 | − | 0.523301i | ||||
\(705\) | −0.161291 | − | 0.429655i | −0.00607459 | − | 0.0161817i | ||||
\(706\) | −2.71799 | − | 4.70769i | −0.102293 | − | 0.177176i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 17.3191 | + | 2.87460i | 0.650891 | + | 0.108034i | ||||
\(709\) | −7.11775 | + | 12.3283i | −0.267313 | + | 0.462999i | −0.968167 | − | 0.250305i | \(-0.919469\pi\) |
0.700854 | + | 0.713305i | \(0.252802\pi\) | |||||||
\(710\) | 0.383678 | 0.0143992 | ||||||||
\(711\) | −7.42460 | − | 37.6624i | −0.278444 | − | 1.41245i | ||||
\(712\) | 4.04956 | 0.151763 | ||||||||
\(713\) | 7.78230 | − | 13.4793i | 0.291449 | − | 0.504805i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −0.0243226 | − | 0.0421280i | −0.000909613 | − | 0.00157550i | ||||
\(716\) | 8.59632 | + | 14.8893i | 0.321260 | + | 0.556438i | ||||
\(717\) | 8.04846 | − | 9.79000i | 0.300575 | − | 0.365614i | ||||
\(718\) | −26.6636 | + | 46.1827i | −0.995077 | + | 1.72352i | ||||
\(719\) | 13.8570 | 0.516777 | 0.258389 | − | 0.966041i | \(-0.416808\pi\) | ||||
0.258389 | + | 0.966041i | \(0.416808\pi\) | |||||||
\(720\) | 1.16212 | − | 1.01564i | 0.0433096 | − | 0.0378507i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | −29.6268 | + | 51.3151i | −1.10259 | + | 1.90975i | ||||
\(723\) | −10.6469 | − | 1.76715i | −0.395961 | − | 0.0657212i | ||||
\(724\) | −13.4842 | − | 23.3553i | −0.501136 | − | 0.867993i | ||||
\(725\) | 12.2851 | + | 21.2784i | 0.456257 | + | 0.790260i | ||||
\(726\) | 10.2896 | + | 27.4100i | 0.381885 | + | 1.01728i | ||||
\(727\) | −15.7000 | + | 27.1932i | −0.582280 | + | 1.00854i | 0.412928 | + | 0.910764i | \(0.364506\pi\) |
−0.995208 | + | 0.0977755i | \(0.968827\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 14.8851 | + | 22.5263i | 0.551299 | + | 0.834308i | ||||
\(730\) | −0.467686 | −0.0173098 | ||||||||
\(731\) | −5.90107 | + | 10.2209i | −0.218259 | + | 0.378035i | ||||
\(732\) | −0.915558 | − | 2.43890i | −0.0338400 | − | 0.0901443i | ||||
\(733\) | −13.3003 | − | 23.0368i | −0.491257 | − | 0.850883i | 0.508692 | − | 0.860949i | \(-0.330129\pi\) |
−0.999949 | + | 0.0100658i | \(0.996796\pi\) | |||||||
\(734\) | 18.0592 | + | 31.2794i | 0.666576 | + | 1.15454i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −25.0904 | + | 43.4579i | −0.924845 | + | 1.60188i | ||||
\(737\) | −10.2951 | −0.379227 | ||||||||
\(738\) | −10.7527 | + | 9.39739i | −0.395812 | + | 0.345923i | ||||
\(739\) | −33.0039 | −1.21407 | −0.607034 | − | 0.794676i | \(-0.707641\pi\) | ||||
−0.607034 | + | 0.794676i | \(0.707641\pi\) | |||||||
\(740\) | −1.13510 | + | 1.96605i | −0.0417272 | + | 0.0722736i | ||||
\(741\) | −1.52096 | + | 1.85007i | −0.0558739 | + | 0.0679640i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 19.3008 | + | 33.4299i | 0.708076 | + | 1.22642i | 0.965570 | + | 0.260144i | \(0.0837701\pi\) |
−0.257493 | + | 0.966280i | \(0.582897\pi\) | |||||||
\(744\) | −1.23678 | + | 1.50440i | −0.0453426 | + | 0.0551539i | ||||
\(745\) | −1.29919 | + | 2.25027i | −0.0475988 | + | 0.0824435i | ||||
\(746\) | 1.67388 | 0.0612849 | ||||||||
\(747\) | −4.35977 | − | 22.1156i | −0.159516 | − | 0.809167i | ||||
\(748\) | 23.1400 | 0.846082 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | −5.12080 | − | 0.849945i | −0.186985 | − | 0.0310356i | ||||
\(751\) | 18.9498 | + | 32.8220i | 0.691487 | + | 1.19769i | 0.971351 | + | 0.237651i | \(0.0763776\pi\) |
−0.279863 | + | 0.960040i | \(0.590289\pi\) | |||||||
\(752\) | 3.18673 | + | 5.51957i | 0.116208 | + | 0.201278i | ||||
\(753\) | 3.44104 | + | 9.16639i | 0.125399 | + | 0.334042i | ||||
\(754\) | −1.01295 | + | 1.75448i | −0.0368895 | + | 0.0638944i | ||||
\(755\) | 1.23811 | 0.0450596 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 22.5927 | 0.821147 | 0.410573 | − | 0.911828i | \(-0.365329\pi\) | ||||
0.410573 | + | 0.911828i | \(0.365329\pi\) | |||||||
\(758\) | 20.9793 | − | 36.3371i | 0.762001 | − | 1.31982i | ||||
\(759\) | 6.26189 | + | 16.6807i | 0.227292 | + | 0.605470i | ||||
\(760\) | −0.225896 | − | 0.391263i | −0.00819411 | − | 0.0141926i | ||||
\(761\) | 13.8735 | + | 24.0296i | 0.502913 | + | 0.871072i | 0.999994 | + | 0.00336738i | \(0.00107187\pi\) |
−0.497081 | + | 0.867704i | \(0.665595\pi\) | |||||||
\(762\) | 47.2974 | + | 7.85037i | 1.71340 | + | 0.284389i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | −11.0156 | −0.398529 | ||||||||
\(765\) | 2.60383 | + | 0.888850i | 0.0941418 | + | 0.0321364i | ||||
\(766\) | −36.7454 | −1.32766 | ||||||||
\(767\) | −0.456849 | + | 0.791286i | −0.0164959 | + | 0.0285717i | ||||
\(768\) | −13.1730 | + | 16.0233i | −0.475338 | + | 0.578193i | ||||
\(769\) | 6.07668 | + | 10.5251i | 0.219131 | + | 0.379546i | 0.954542 | − | 0.298075i | \(-0.0963445\pi\) |
−0.735412 | + | 0.677621i | \(0.763011\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 12.9812 | − | 15.7901i | 0.467505 | − | 0.568665i | ||||
\(772\) | 16.5250 | − | 28.6221i | 0.594747 | − | 1.03013i | ||||
\(773\) | −41.5591 | −1.49478 | −0.747388 | − | 0.664388i | \(-0.768692\pi\) | ||||
−0.747388 | + | 0.664388i | \(0.768692\pi\) | |||||||
\(774\) | 10.9731 | + | 3.74579i | 0.394419 | + | 0.134640i | ||||
\(775\) | −12.5351 | −0.450275 | ||||||||
\(776\) | 1.77969 | − | 3.08252i | 0.0638873 | − | 0.110656i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −16.0470 | − | 27.7942i | −0.575313 | − | 0.996472i | ||||
\(779\) | −8.01714 | − | 13.8861i | −0.287244 | − | 0.497521i | ||||
\(780\) | −0.0394598 | − | 0.105115i | −0.00141289 | − | 0.00376371i | ||||
\(781\) | −1.06290 | + | 1.84100i | −0.0380336 | + | 0.0658761i | ||||
\(782\) | −79.6135 | −2.84697 | ||||||||
\(783\) | −21.8114 | + | 13.4858i | −0.779476 | + | 0.481942i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 0.416753 | − | 0.721837i | 0.0148746 | − | 0.0257635i | ||||
\(786\) | −24.7939 | − | 66.0470i | −0.884369 | − | 2.35582i | ||||
\(787\) | −10.4484 | − | 18.0972i | −0.372446 | − | 0.645096i | 0.617495 | − | 0.786575i | \(-0.288148\pi\) |
−0.989941 | + | 0.141479i | \(0.954814\pi\) | |||||||
\(788\) | 23.5725 | + | 40.8288i | 0.839736 | + | 1.45447i | ||||
\(789\) | −38.0010 | − | 6.30737i | −1.35287 | − | 0.224548i | ||||
\(790\) | −1.92152 | + | 3.32816i | −0.0683645 | + | 0.118411i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | −0.431195 | − | 2.18730i | −0.0153218 | − | 0.0777222i | ||||
\(793\) | 0.135581 | 0.00481462 | ||||||||
\(794\) | −19.7779 | + | 34.2564i | −0.701892 | + | 1.21571i | ||||
\(795\) | −0.859992 | + | 1.04608i | −0.0305008 | + | 0.0371006i | ||||
\(796\) | 22.1127 | + | 38.3003i | 0.783763 | + | 1.35752i | ||||
\(797\) | 0.319383 | + | 0.553188i | 0.0113131 | + | 0.0195949i | 0.871627 | − | 0.490171i | \(-0.163066\pi\) |
−0.860313 | + | 0.509765i | \(0.829732\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −5.68091 | + | 9.83963i | −0.200976 | + | 0.348101i | ||||
\(800\) | 40.4137 | 1.42884 | ||||||||
\(801\) | −20.4834 | + | 17.9016i | −0.723746 | + | 0.632523i | ||||
\(802\) | 29.3698 | 1.03708 | ||||||||
\(803\) | 1.29563 | − | 2.24409i | 0.0457217 | − | 0.0791923i | ||||
\(804\) | −23.4414 | − | 3.89078i | −0.826714 | − | 0.137217i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −0.516783 | − | 0.895095i | −0.0182029 | − | 0.0315284i | ||||
\(807\) | 1.45416 | + | 3.87364i | 0.0511888 | + | 0.136359i | ||||
\(808\) | 3.31431 | − | 5.74055i | 0.116597 | − | 0.201952i | ||||
\(809\) | −50.5592 | −1.77757 | −0.888783 | − | 0.458327i | \(-0.848449\pi\) | ||||
−0.888783 | + | 0.458327i | \(0.848449\pi\) | |||||||
\(810\) | 0.361977 | − | 2.67868i | 0.0127186 | − | 0.0941193i | ||||
\(811\) | 0.784071 | 0.0275325 | 0.0137662 | − | 0.999905i | \(-0.495618\pi\) | ||||
0.0137662 | + | 0.999905i | \(0.495618\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 14.1382 | + | 37.6620i | 0.495850 | + | 1.32087i | ||||
\(814\) | −11.9615 | − | 20.7179i | −0.419250 | − | 0.726163i | ||||
\(815\) | −0.155411 | − | 0.269180i | −0.00544382 | − | 0.00942897i | ||||
\(816\) | −37.6941 | − | 6.25643i | −1.31956 | − | 0.219019i | ||||
\(817\) | −6.50939 | + | 11.2746i | −0.227735 | + | 0.394448i | ||||
\(818\) | −65.4311 | −2.28775 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0.751682 | 0.0262499 | ||||||||
\(821\) | −21.7207 | + | 37.6213i | −0.758056 | + | 1.31299i | 0.185784 | + | 0.982591i | \(0.440517\pi\) |
−0.943841 | + | 0.330401i | \(0.892816\pi\) | |||||||
\(822\) | 14.5588 | − | 17.7091i | 0.507797 | − | 0.617675i | ||||
\(823\) | −1.98273 | − | 3.43419i | −0.0691136 | − | 0.119708i | 0.829398 | − | 0.558659i | \(-0.188684\pi\) |
−0.898511 | + | 0.438950i | \(0.855350\pi\) | |||||||
\(824\) | −0.0455399 | − | 0.0788774i | −0.00158646 | − | 0.00274782i | ||||
\(825\) | 9.11262 | − | 11.0844i | 0.317261 | − | 0.385910i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 29.3159 | 1.01941 | 0.509707 | − | 0.860348i | \(-0.329754\pi\) | ||||
0.509707 | + | 0.860348i | \(0.329754\pi\) | |||||||
\(828\) | 7.95391 | + | 40.3474i | 0.276418 | + | 1.40217i | ||||
\(829\) | −35.0427 | −1.21708 | −0.608541 | − | 0.793522i | \(-0.708245\pi\) | ||||
−0.608541 | + | 0.793522i | \(0.708245\pi\) | |||||||
\(830\) | −1.12833 | + | 1.95432i | −0.0391648 | + | 0.0678353i | ||||
\(831\) | −7.89067 | − | 1.30968i | −0.273724 | − | 0.0454324i | ||||
\(832\) | 0.962955 | + | 1.66789i | 0.0333844 | + | 0.0578236i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | −15.6646 | − | 41.7280i | −0.542421 | − | 1.44492i | ||||
\(835\) | 0.846358 | − | 1.46593i | 0.0292894 | − | 0.0507308i | ||||
\(836\) | 25.5255 | 0.882816 | ||||||||
\(837\) | −0.394528 | − | 13.0769i | −0.0136369 | − | 0.452004i | ||||
\(838\) | 49.0738 | 1.69523 | ||||||||
\(839\) | 18.7921 | − | 32.5489i | 0.648777 | − | 1.12371i | −0.334639 | − | 0.942347i | \(-0.608614\pi\) |
0.983415 | − | 0.181368i | \(-0.0580524\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 2.32218 | + | 4.02213i | 0.0800750 | + | 0.138694i | ||||
\(842\) | −2.51060 | − | 4.34848i | −0.0865208 | − | 0.149858i | ||||
\(843\) | −20.1911 | − | 3.35130i | −0.695419 | − | 0.115425i | ||||
\(844\) | 26.0705 | − | 45.1555i | 0.897385 | − | 1.55432i | ||||
\(845\) | −1.89535 | −0.0652020 | ||||||||
\(846\) | 10.5637 | + | 3.60604i | 0.363188 | + | 0.123978i | ||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 9.40331 | − | 16.2870i | 0.322911 | − | 0.559298i | ||||
\(849\) | 17.4338 | − | 21.2061i | 0.598325 | − | 0.727792i | ||||
\(850\) | 32.0588 | + | 55.5275i | 1.09961 | + | 1.90458i | ||||
\(851\) | 21.6378 | + | 37.4778i | 0.741735 | + | 1.28472i | ||||
\(852\) | −3.11591 | + | 3.79014i | −0.106749 | + | 0.129848i | ||||
\(853\) | −16.3849 | + | 28.3795i | −0.561009 | + | 0.971696i | 0.436400 | + | 0.899753i | \(0.356253\pi\) |
−0.997409 | + | 0.0719434i | \(0.977080\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 2.87226 | + | 0.980479i | 0.0982291 | + | 0.0335317i | ||||
\(856\) | −3.11218 | −0.106372 | ||||||||
\(857\) | 13.7673 | − | 23.8457i | 0.470283 | − | 0.814554i | −0.529139 | − | 0.848535i | \(-0.677485\pi\) |
0.999422 | + | 0.0339808i | \(0.0108185\pi\) | |||||||
\(858\) | 1.16719 | + | 0.193729i | 0.0398472 | + | 0.00661379i | ||||
\(859\) | −23.2550 | − | 40.2789i | −0.793451 | − | 1.37430i | −0.923818 | − | 0.382832i | \(-0.874949\pi\) |
0.130366 | − | 0.991466i | \(-0.458385\pi\) | |||||||
\(860\) | −0.305158 | − | 0.528549i | −0.0104058 | − | 0.0180234i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 5.05981 | − | 8.76384i | 0.172338 | − | 0.298498i | ||||
\(863\) | −4.88014 | −0.166122 | −0.0830610 | − | 0.996544i | \(-0.526470\pi\) | ||||
−0.0830610 | + | 0.996544i | \(0.526470\pi\) | |||||||
\(864\) | 1.27197 | + | 42.1604i | 0.0432734 | + | 1.43433i | ||||
\(865\) | 2.32690 | 0.0791170 | ||||||||
\(866\) | 31.6814 | − | 54.8739i | 1.07658 | − | 1.86469i | ||||
\(867\) | −13.5909 | − | 36.2041i | −0.461572 | − | 1.22956i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −10.6463 | − | 18.4400i | −0.361152 | − | 0.625533i | ||||
\(870\) | 2.53261 | + | 0.420359i | 0.0858634 | + | 0.0142515i | ||||
\(871\) | 0.618346 | − | 1.07101i | 0.0209518 | − | 0.0362897i | ||||
\(872\) | −2.97476 | −0.100738 | ||||||||
\(873\) | 4.62468 | + | 23.4593i | 0.156522 | + | 0.793978i | ||||
\(874\) | −87.8207 | −2.97058 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 3.79815 | − | 4.62001i | 0.128328 | − | 0.156096i | ||||
\(877\) | −19.6446 | − | 34.0255i | −0.663352 | − | 1.14896i | −0.979729 | − | 0.200326i | \(-0.935800\pi\) |
0.316378 | − | 0.948633i | \(-0.397533\pi\) | |||||||
\(878\) | 2.51388 | + | 4.35418i | 0.0848395 | + | 0.146946i | ||||
\(879\) | −15.5049 | + | 18.8599i | −0.522968 | + | 0.636129i | ||||
\(880\) | 0.428043 | − | 0.741392i | 0.0144293 | − | 0.0249923i | ||||
\(881\) | −47.3713 | −1.59598 | −0.797990 | − | 0.602670i | \(-0.794103\pi\) | ||||
−0.797990 | + | 0.602670i | \(0.794103\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −2.67206 | −0.0899221 | −0.0449610 | − | 0.998989i | \(-0.514316\pi\) | ||||
−0.0449610 | + | 0.998989i | \(0.514316\pi\) | |||||||
\(884\) | −1.38983 | + | 2.40726i | −0.0467451 | + | 0.0809649i | ||||
\(885\) | 1.14223 | + | 0.189585i | 0.0383955 | + | 0.00637284i | ||||
\(886\) | 27.0003 | + | 46.7659i | 0.907094 | + | 1.57113i | ||||
\(887\) | −11.4800 | − | 19.8840i | −0.385461 | − | 0.667638i | 0.606372 | − | 0.795181i | \(-0.292624\pi\) |
−0.991833 | + | 0.127543i | \(0.959291\pi\) | |||||||
\(888\) | −1.90306 | − | 5.06944i | −0.0638624 | − | 0.170119i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | 2.72342 | 0.0912891 | ||||||||
\(891\) | 11.8503 | + | 9.15760i | 0.397000 | + | 0.306791i | ||||
\(892\) | 9.00518 | 0.301516 | ||||||||
\(893\) | −6.26655 | + | 10.8540i | −0.209702 | + | 0.363214i | ||||
\(894\) | −22.2111 | − | 59.1669i | −0.742851 | − | 1.97884i | ||||
\(895\) | 0.566944 | + | 0.981976i | 0.0189508 | + | 0.0328238i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −2.11140 | − | 0.350447i | −0.0704975 | − | 0.0117011i | ||||
\(898\) | 39.7460 | − | 68.8420i | 1.32634 | − | 2.29729i | ||||
\(899\) | 12.4257 | 0.414420 | ||||||||
\(900\) | 24.9379 | − | 21.7947i | 0.831264 | − | 0.726489i | ||||
\(901\) | 33.5262 | 1.11692 | ||||||||
\(902\) | −3.96054 | + | 6.85986i | −0.131872 | + | 0.228408i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −0.00862948 | − | 0.0149467i | −0.000287012 | − | 0.000497120i | ||||
\(905\) | −0.889308 | − | 1.54033i | −0.0295616 | − | 0.0512022i | ||||
\(906\) | −19.1238 | + | 23.2619i | −0.635346 | + | 0.772824i | ||||
\(907\) | 13.9491 | − | 24.1606i | 0.463173 | − | 0.802238i | −0.535944 | − | 0.844253i | \(-0.680044\pi\) |
0.999117 | + | 0.0420148i | \(0.0133777\pi\) | |||||||
\(908\) | 8.54354 | 0.283527 | ||||||||
\(909\) | 8.61250 | + | 43.6882i | 0.285659 | + | 1.44905i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −18.7381 | + | 32.4553i | −0.620820 | + | 1.07529i | 0.368513 | + | 0.929623i | \(0.379867\pi\) |
−0.989333 | + | 0.145670i | \(0.953466\pi\) | |||||||
\(912\) | −41.5799 | − | 6.90139i | −1.37685 | − | 0.228528i | ||||
\(913\) | −6.25158 | − | 10.8281i | −0.206897 | − | 0.358356i | ||||
\(914\) | 9.40068 | + | 16.2825i | 0.310947 | + | 0.538576i | ||||
\(915\) | −0.0603828 | − | 0.160850i | −0.00199619 | − | 0.00531754i | ||||
\(916\) | 14.5424 | − | 25.1881i | 0.480493 | − | 0.832239i | ||||
\(917\) | 0 | 0 | ||||||||
\(918\) | −56.9184 | + | 35.1921i | −1.87859 | + | 1.16151i | ||||
\(919\) | 30.2147 | 0.996691 | 0.498345 | − | 0.866979i | \(-0.333941\pi\) | ||||
0.498345 | + | 0.866979i | \(0.333941\pi\) | |||||||
\(920\) | 0.201870 | − | 0.349649i | 0.00665546 | − | 0.0115276i | ||||
\(921\) | 16.6741 | + | 44.4170i | 0.549429 | + | 1.46359i | ||||
\(922\) | −30.0145 | − | 51.9866i | −0.988474 | − | 1.71209i | ||||
\(923\) | −0.127680 | − | 0.221147i | −0.00420262 | − | 0.00727916i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 17.4263 | − | 30.1832i | 0.572972 | − | 0.992417i | ||||
\(926\) | 33.7221 | 1.10818 | ||||||||
\(927\) | 0.579037 | + | 0.197661i | 0.0190181 | + | 0.00649205i | ||||
\(928\) | −40.0609 | −1.31506 | ||||||||
\(929\) | −22.9675 | + | 39.7809i | −0.753540 | + | 1.30517i | 0.192556 | + | 0.981286i | \(0.438322\pi\) |
−0.946097 | + | 0.323884i | \(0.895011\pi\) | |||||||
\(930\) | −0.831764 | + | 1.01174i | −0.0272746 | + | 0.0331763i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | −19.4053 | − | 33.6110i | −0.635642 | − | 1.10096i | ||||
\(933\) | −15.4605 | + | 18.8059i | −0.506154 | + | 0.615677i | ||||
\(934\) | −15.7850 | + | 27.3404i | −0.516500 | + | 0.894604i | ||||
\(935\) | 1.52613 | 0.0499097 | ||||||||
\(936\) | 0.253443 | + | 0.0865159i | 0.00828405 | + | 0.00282786i | ||||
\(937\) | 45.3797 | 1.48249 | 0.741245 | − | 0.671235i | \(-0.234236\pi\) | ||||
0.741245 | + | 0.671235i | \(0.234236\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −37.1545 | − | 6.16686i | −1.21249 | − | 0.201248i | ||||
\(940\) | −0.293774 | − | 0.508831i | −0.00958184 | − | 0.0165962i | ||||
\(941\) | 24.7002 | + | 42.7819i | 0.805202 | + | 1.39465i | 0.916154 | + | 0.400825i | \(0.131277\pi\) |
−0.110952 | + | 0.993826i | \(0.535390\pi\) | |||||||
\(942\) | 7.12484 | + | 18.9794i | 0.232140 | + | 0.618384i | ||||
\(943\) | 7.16445 | − | 12.4092i | 0.233307 | − | 0.404099i | ||||
\(944\) | −16.0798 | −0.523353 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 6.43141 | 0.209103 | ||||||||
\(947\) | −15.8253 | + | 27.4102i | −0.514252 | + | 0.890711i | 0.485611 | + | 0.874175i | \(0.338597\pi\) |
−0.999863 | + | 0.0165357i | \(0.994736\pi\) | |||||||
\(948\) | −17.2721 | − | 46.0101i | −0.560972 | − | 1.49434i | ||||
\(949\) | 0.155636 | + | 0.269569i | 0.00505214 | + | 0.00875057i | ||||
\(950\) | 35.3637 | + | 61.2517i | 1.14735 | + | 1.98727i | ||||
\(951\) | 14.6313 | + | 2.42849i | 0.474453 | + | 0.0787492i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −19.1237 | −0.619477 | −0.309739 | − | 0.950822i | \(-0.600242\pi\) | ||||
−0.309739 | + | 0.950822i | \(0.600242\pi\) | |||||||
\(954\) | −6.37050 | − | 32.3153i | −0.206252 | − | 1.04625i | ||||
\(955\) | −0.726498 | −0.0235089 | ||||||||
\(956\) | 8.11273 | − | 14.0517i | 0.262384 | − | 0.454463i | ||||
\(957\) | −9.03306 | + | 10.9877i | −0.291997 | + | 0.355180i | ||||
\(958\) | −38.9465 | − | 67.4573i | −1.25830 | − | 2.17945i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 1.54988 | − | 1.88524i | 0.0500221 | − | 0.0608459i | ||||
\(961\) | 12.3304 | − | 21.3568i | 0.397753 | − | 0.688929i | ||||
\(962\) | 2.87372 | 0.0926525 | ||||||||
\(963\) | 15.7420 | − | 13.7578i | 0.507279 | − | 0.443340i | ||||
\(964\) | −13.8171 | −0.445020 | ||||||||
\(965\) | 1.08985 | − | 1.88768i | 0.0350836 | − | 0.0607666i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 4.98525 | + | 8.63470i | 0.160315 | + | 0.277673i | 0.934982 | − | 0.354696i | \(-0.115416\pi\) |
−0.774667 | + | 0.632370i | \(0.782082\pi\) | |||||||
\(968\) | 1.83790 | + | 3.18334i | 0.0590724 | + | 0.102316i | ||||
\(969\) | −26.4072 | − | 70.3445i | −0.848321 | − | 2.25979i | ||||
\(970\) | 1.19688 | − | 2.07306i | 0.0384296 | − | 0.0665621i | ||||
\(971\) | 1.04511 | 0.0335391 | 0.0167695 | − | 0.999859i | \(-0.494662\pi\) | ||||
0.0167695 | + | 0.999859i | \(0.494662\pi\) | |||||||
\(972\) | 23.5215 | + | 25.3298i | 0.754453 | + | 0.812453i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | 4.72847 | − | 8.18994i | 0.151510 | − | 0.262423i | ||||
\(975\) | 0.605794 | + | 1.61374i | 0.0194009 | + | 0.0516810i | ||||
\(976\) | 1.19302 | + | 2.06637i | 0.0381875 | + | 0.0661428i | ||||
\(977\) | 9.44308 | + | 16.3559i | 0.302111 | + | 0.523272i | 0.976614 | − | 0.215001i | \(-0.0689753\pi\) |
−0.674503 | + | 0.738272i | \(0.735642\pi\) | |||||||
\(978\) | 7.45786 | + | 1.23785i | 0.238476 | + | 0.0395820i | ||||
\(979\) | −7.54466 | + | 13.0677i | −0.241128 | + | 0.417647i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 15.0469 | − | 13.1503i | 0.480410 | − | 0.419858i | ||||
\(982\) | 62.3797 | 1.99062 | ||||||||
\(983\) | 1.14446 | − | 1.98226i | 0.0365025 | − | 0.0632242i | −0.847197 | − | 0.531279i | \(-0.821712\pi\) |
0.883700 | + | 0.468055i | \(0.155045\pi\) | |||||||
\(984\) | −1.13859 | + | 1.38496i | −0.0362970 | + | 0.0441510i | ||||
\(985\) | 1.55465 | + | 2.69274i | 0.0495353 | + | 0.0857977i | ||||
\(986\) | −31.7789 | − | 55.0427i | −1.01205 | − | 1.75292i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −1.53311 | + | 2.65542i | −0.0487746 | + | 0.0844801i | ||||
\(989\) | −11.6341 | −0.369944 | ||||||||
\(990\) | −0.289988 | − | 1.47101i | −0.00921643 | − | 0.0467517i | ||||
\(991\) | 19.0698 | 0.605773 | 0.302886 | − | 0.953027i | \(-0.402050\pi\) | ||||
0.302886 | + | 0.953027i | \(0.402050\pi\) | |||||||
\(992\) | 10.2191 | − | 17.6999i | 0.324455 | − | 0.561973i | ||||
\(993\) | 18.5343 | + | 3.07631i | 0.588170 | + | 0.0976237i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 1.45837 | + | 2.52598i | 0.0462336 | + | 0.0800789i | ||||
\(996\) | −10.1423 | − | 27.0174i | −0.321370 | − | 0.856080i | ||||
\(997\) | 18.5075 | − | 32.0560i | 0.586139 | − | 1.01522i | −0.408593 | − | 0.912717i | \(-0.633980\pi\) |
0.994732 | − | 0.102507i | \(-0.0326863\pi\) | |||||||
\(998\) | 19.0346 | 0.602531 | ||||||||
\(999\) | 32.0362 | + | 17.2295i | 1.01358 | + | 0.545116i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))