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 | 373.5 | ||
Root | \(-1.02682 - 1.77851i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 441.373 |
Dual form | 441.2.h.f.214.5 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.05365 | 1.45215 | 0.726073 | − | 0.687617i | \(-0.241343\pi\) | ||||
0.726073 | + | 0.687617i | \(0.241343\pi\) | |||||||
\(3\) | 1.70867 | − | 0.283604i | 0.986504 | − | 0.163739i | ||||
\(4\) | 2.21746 | 1.10873 | ||||||||
\(5\) | −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 | ||||||||
\(9\) | 2.83914 | − | 0.969173i | 0.946379 | − | 0.323058i | ||||
\(10\) | −0.150168 | − | 0.260099i | −0.0474874 | − | 0.0822506i | ||||
\(11\) | −0.832020 | + | 1.44110i | −0.250864 | + | 0.434508i | −0.963764 | − | 0.266757i | \(-0.914048\pi\) |
0.712900 | + | 0.701265i | \(0.247381\pi\) | |||||||
\(12\) | 3.78891 | − | 0.628880i | 1.09377 | − | 0.181542i | ||||
\(13\) | −0.0999454 | + | 0.173111i | −0.0277199 | + | 0.0480122i | −0.879553 | − | 0.475802i | \(-0.842158\pi\) |
0.851833 | + | 0.523814i | \(0.175491\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −0.160862 | − | 0.195670i | −0.0415345 | − | 0.0505218i | ||||
\(16\) | −3.51780 | −0.879449 | ||||||||
\(17\) | −3.13555 | − | 5.43093i | −0.760483 | − | 1.31720i | −0.942602 | − | 0.333919i | \(-0.891629\pi\) |
0.182119 | − | 0.983277i | \(-0.441704\pi\) | |||||||
\(18\) | 5.83058 | − | 1.99034i | 1.37428 | − | 0.469127i | ||||
\(19\) | −3.45879 | + | 5.99080i | −0.793500 | + | 1.37438i | 0.130287 | + | 0.991476i | \(0.458410\pi\) |
−0.923787 | + | 0.382907i | \(0.874923\pi\) | |||||||
\(20\) | −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 | \(0.610399\pi\) | |||||||
\(24\) | 0.763064 | − | 0.126652i | 0.155760 | − | 0.0258528i | ||||
\(25\) | 2.48931 | − | 4.31160i | 0.497861 | − | 0.862321i | ||||
\(26\) | −0.205252 | + | 0.355508i | −0.0402533 | + | 0.0697208i | ||||
\(27\) | 4.57630 | − | 2.46119i | 0.880710 | − | 0.473657i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −2.46757 | − | 4.27396i | −0.458217 | − | 0.793655i | 0.540650 | − | 0.841248i | \(-0.318178\pi\) |
−0.998867 | + | 0.0475930i | \(0.984845\pi\) | |||||||
\(30\) | −0.330354 | − | 0.401837i | −0.0603141 | − | 0.0733650i | ||||
\(31\) | 2.51780 | 0.452209 | 0.226105 | − | 0.974103i | \(-0.427401\pi\) | ||||
0.226105 | + | 0.974103i | \(0.427401\pi\) | |||||||
\(32\) | −8.11747 | −1.43498 | ||||||||
\(33\) | −1.01295 | + | 2.69834i | −0.176332 | + | 0.469720i | ||||
\(34\) | −6.43931 | − | 11.1532i | −1.10433 | − | 1.91276i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 6.29567 | − | 2.14910i | 1.04928 | − | 0.358184i | ||||
\(37\) | −3.50023 | + | 6.06257i | −0.575434 | + | 0.996681i | 0.420560 | + | 0.907264i | \(0.361833\pi\) |
−0.995994 | + | 0.0894162i | \(0.971500\pi\) | |||||||
\(38\) | −7.10312 | + | 12.3030i | −1.15228 | + | 1.99581i | ||||
\(39\) | −0.121679 | + | 0.324134i | −0.0194843 | + | 0.0519030i | ||||
\(40\) | −0.0326554 | − | 0.0565608i | −0.00516327 | − | 0.00894304i | ||||
\(41\) | −1.15895 | + | 2.00736i | −0.180998 | + | 0.313498i | −0.942221 | − | 0.334993i | \(-0.891266\pi\) |
0.761223 | + | 0.648491i | \(0.224599\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.940993 | − | 1.62985i | −0.143500 | − | 0.248550i | 0.785312 | − | 0.619100i | \(-0.212502\pi\) |
−0.928812 | + | 0.370550i | \(0.879169\pi\) | |||||||
\(44\) | −1.84497 | + | 3.19558i | −0.278140 | + | 0.481752i | ||||
\(45\) | −0.330354 | − | 0.288715i | −0.0492463 | − | 0.0430391i | ||||
\(46\) | 6.34765 | + | 10.9944i | 0.935910 | + | 1.62104i | ||||
\(47\) | 1.81177 | 0.264275 | 0.132137 | − | 0.991231i | \(-0.457816\pi\) | ||||
0.132137 | + | 0.991231i | \(0.457816\pi\) | |||||||
\(48\) | −6.01077 | + | 0.997660i | −0.867579 | + | 0.144000i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 5.11215 | − | 8.85451i | 0.722967 | − | 1.25222i | ||||
\(51\) | −6.89787 | − | 8.39045i | −0.965895 | − | 1.17490i | ||||
\(52\) | −0.221625 | + | 0.383865i | −0.0307338 | + | 0.0532325i | ||||
\(53\) | −2.67307 | − | 4.62989i | −0.367174 | − | 0.635964i | 0.621948 | − | 0.783058i | \(-0.286341\pi\) |
−0.989123 | + | 0.147094i | \(0.953008\pi\) | |||||||
\(54\) | 9.39810 | − | 5.05442i | 1.27892 | − | 0.687819i | ||||
\(55\) | 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 | ||||
\(59\) | 4.57099 | 0.595092 | 0.297546 | − | 0.954708i | \(-0.403832\pi\) | ||||
0.297546 | + | 0.954708i | \(0.403832\pi\) | |||||||
\(60\) | −0.356705 | − | 0.433890i | −0.0460505 | − | 0.0560149i | ||||
\(61\) | 0.678276 | 0.0868443 | 0.0434221 | − | 0.999057i | \(-0.486174\pi\) | ||||
0.0434221 | + | 0.999057i | \(0.486174\pi\) | |||||||
\(62\) | 5.17066 | 0.656674 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −9.63481 | −1.20435 | ||||||||
\(65\) | 0.0292332 | 0.00362593 | ||||||||
\(66\) | −2.08024 | + | 5.54143i | −0.256060 | + | 0.682103i | ||||
\(67\) | −6.18684 | −0.755842 | −0.377921 | − | 0.925838i | \(-0.623361\pi\) | ||||
−0.377921 | + | 0.925838i | \(0.623361\pi\) | |||||||
\(68\) | −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 | \(0.475847\pi\) | |||||||
\(72\) | 1.26791 | − | 0.432816i | 0.149424 | − | 0.0510078i | ||||
\(73\) | 0.778603 | + | 1.34858i | 0.0911286 | + | 0.157839i | 0.907986 | − | 0.419000i | \(-0.137619\pi\) |
−0.816858 | + | 0.576839i | \(0.804286\pi\) | |||||||
\(74\) | −7.18823 | + | 12.4504i | −0.835614 | + | 1.44733i | ||||
\(75\) | 3.03063 | − | 8.07311i | 0.349947 | − | 0.932202i | ||||
\(76\) | −7.66972 | + | 13.2843i | −0.879777 | + | 1.52382i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −0.249886 | + | 0.665657i | −0.0282940 | + | 0.0753708i | ||||
\(79\) | 12.7957 | 1.43963 | 0.719817 | − | 0.694164i | \(-0.244226\pi\) | ||||
0.719817 | + | 0.694164i | \(0.244226\pi\) | |||||||
\(80\) | 0.257231 | + | 0.445537i | 0.0287593 | + | 0.0498126i | ||||
\(81\) | 7.12141 | − | 5.50323i | 0.791267 | − | 0.611470i | ||||
\(82\) | −2.38008 | + | 4.12241i | −0.262835 | + | 0.455244i | ||||
\(83\) | −3.75687 | − | 6.50709i | −0.412370 | − | 0.714246i | 0.582778 | − | 0.812631i | \(-0.301966\pi\) |
−0.995148 | + | 0.0983854i | \(0.968632\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.458561 | + | 0.794251i | −0.0497379 | + | 0.0861486i | ||||
\(86\) | −1.93247 | − | 3.34713i | −0.208383 | − | 0.360930i | ||||
\(87\) | −5.42839 | − | 6.60299i | −0.581984 | − | 0.707915i | ||||
\(88\) | −0.371566 | + | 0.643571i | −0.0396090 | + | 0.0686048i | ||||
\(89\) | −4.53394 | + | 7.85301i | −0.480597 | + | 0.832418i | −0.999752 | − | 0.0222619i | \(-0.992913\pi\) |
0.519155 | + | 0.854680i | \(0.326247\pi\) | |||||||
\(90\) | −0.678430 | − | 0.592918i | −0.0715128 | − | 0.0624991i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 6.85398 | + | 11.8714i | 0.714577 | + | 1.23768i | ||||
\(93\) | 4.30209 | − | 0.714056i | 0.446106 | − | 0.0740442i | ||||
\(94\) | 3.72074 | 0.383765 | ||||||||
\(95\) | 1.01167 | 0.103795 | ||||||||
\(96\) | −13.8701 | + | 2.30214i | −1.41561 | + | 0.234962i | ||||
\(97\) | 3.98514 | + | 6.90246i | 0.404630 | + | 0.700839i | 0.994278 | − | 0.106821i | \(-0.0340671\pi\) |
−0.589649 | + | 0.807660i | \(0.700734\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −0.965543 | + | 4.89786i | −0.0970408 | + | 0.492253i | ||||
\(100\) | 5.51993 | − | 9.56080i | 0.551993 | − | 0.956080i | ||||
\(101\) | 7.42150 | − | 12.8544i | 0.738467 | − | 1.27906i | −0.214719 | − | 0.976676i | \(-0.568883\pi\) |
0.953186 | − | 0.302386i | \(-0.0977832\pi\) | |||||||
\(102\) | −14.1658 | − | 17.2310i | −1.40262 | − | 1.70612i | ||||
\(103\) | −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 | ||||
\(107\) | 3.48444 | − | 6.03524i | 0.336854 | − | 0.583448i | −0.646985 | − | 0.762503i | \(-0.723970\pi\) |
0.983839 | + | 0.179054i | \(0.0573038\pi\) | |||||||
\(108\) | 10.1478 | − | 5.45759i | 0.976468 | − | 0.525157i | ||||
\(109\) | 3.33058 | + | 5.76874i | 0.319012 | + | 0.552545i | 0.980282 | − | 0.197603i | \(-0.0633157\pi\) |
−0.661270 | + | 0.750148i | \(0.729982\pi\) | |||||||
\(110\) | 0.499772 | 0.0476514 | ||||||||
\(111\) | −4.26138 | + | 11.3516i | −0.404472 | + | 1.07745i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −0.0193234 | + | 0.0334691i | −0.00181779 | + | 0.00314851i | −0.866933 | − | 0.498425i | \(-0.833912\pi\) |
0.865115 | + | 0.501573i | \(0.167245\pi\) | |||||||
\(114\) | −8.64776 | + | 23.0362i | −0.809937 | + | 2.15754i | ||||
\(115\) | 0.452033 | − | 0.782945i | 0.0421523 | − | 0.0730100i | ||||
\(116\) | −5.47174 | − | 9.47733i | −0.508038 | − | 0.879948i | ||||
\(117\) | −0.115985 | + | 0.588349i | −0.0107228 | + | 0.0543929i | ||||
\(118\) | 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 | ||||
\(122\) | 1.39294 | 0.126111 | ||||||||
\(123\) | −1.41098 | + | 3.75862i | −0.127223 | + | 0.338903i | ||||
\(124\) | 5.58311 | 0.501378 | ||||||||
\(125\) | −1.45933 | −0.130526 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 13.4788 | 1.19605 | 0.598027 | − | 0.801476i | \(-0.295952\pi\) | ||||
0.598027 | + | 0.801476i | \(0.295952\pi\) | |||||||
\(128\) | −3.55154 | −0.313915 | ||||||||
\(129\) | −2.07008 | − | 2.51801i | −0.182261 | − | 0.221698i | ||||
\(130\) | 0.0600345 | 0.00526538 | ||||||||
\(131\) | −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 | ||||||||
\(135\) | −0.646348 | − | 0.399630i | −0.0556288 | − | 0.0343947i | ||||
\(136\) | −1.40028 | − | 2.42536i | −0.120073 | − | 0.207973i | ||||
\(137\) | 3.22255 | − | 5.58162i | 0.275321 | − | 0.476870i | −0.694895 | − | 0.719111i | \(-0.744549\pi\) |
0.970216 | + | 0.242241i | \(0.0778826\pi\) | |||||||
\(138\) | 13.9641 | + | 16.9857i | 1.18871 | + | 1.44592i | ||||
\(139\) | −6.26527 | + | 10.8518i | −0.531413 | + | 0.920435i | 0.467914 | + | 0.883774i | \(0.345006\pi\) |
−0.999328 | + | 0.0366611i | \(0.988328\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 3.09573 | − | 0.513826i | 0.260708 | − | 0.0432720i | ||||
\(142\) | 2.62352 | 0.220161 | ||||||||
\(143\) | −0.166313 | − | 0.288063i | −0.0139078 | − | 0.0240890i | ||||
\(144\) | −9.98750 | + | 3.40935i | −0.832292 | + | 0.284113i | ||||
\(145\) | −0.360872 | + | 0.625048i | −0.0299688 | + | 0.0519074i | ||||
\(146\) | 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 | \(-0.426113\pi\) | |||||||
\(150\) | 6.22383 | − | 16.5793i | 0.508174 | − | 1.35369i | ||||
\(151\) | −4.23300 | + | 7.33177i | −0.344476 | + | 0.596651i | −0.985259 | − | 0.171072i | \(-0.945277\pi\) |
0.640782 | + | 0.767723i | \(0.278610\pi\) | |||||||
\(152\) | −1.54463 | + | 2.67538i | −0.125286 | + | 0.217002i | ||||
\(153\) | −14.1658 | − | 12.3803i | −1.14524 | − | 1.00089i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −0.184108 | − | 0.318885i | −0.0147879 | − | 0.0256135i | ||||
\(156\) | −0.269819 | + | 0.718755i | −0.0216028 | + | 0.0575464i | ||||
\(157\) | −5.69935 | −0.454858 | −0.227429 | − | 0.973795i | \(-0.573032\pi\) | ||||
−0.227429 | + | 0.973795i | \(0.573032\pi\) | |||||||
\(158\) | 26.2779 | 2.09056 | ||||||||
\(159\) | −5.88046 | − | 7.15288i | −0.466351 | − | 0.567261i | ||||
\(160\) | 0.593572 | + | 1.02810i | 0.0469260 | + | 0.0812782i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 14.6248 | − | 11.3017i | 1.14904 | − | 0.887944i | ||||
\(163\) | −1.06267 | + | 1.84060i | −0.0832349 | + | 0.144167i | −0.904638 | − | 0.426181i | \(-0.859859\pi\) |
0.821403 | + | 0.570349i | \(0.193192\pi\) | |||||||
\(164\) | −2.56993 | + | 4.45125i | −0.200678 | + | 0.347584i | ||||
\(165\) | 0.415821 | − | 0.0690175i | 0.0323716 | − | 0.00537300i | ||||
\(166\) | −7.71528 | − | 13.3632i | −0.598821 | − | 1.03719i | ||||
\(167\) | 5.78723 | − | 10.0238i | 0.447829 | − | 0.775663i | −0.550415 | − | 0.834891i | \(-0.685530\pi\) |
0.998244 | + | 0.0592278i | \(0.0188638\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 6.48002 | + | 11.2237i | 0.498463 | + | 0.863364i | ||||
\(170\) | −0.941721 | + | 1.63111i | −0.0722267 | + | 0.125100i | ||||
\(171\) | −4.01386 | + | 20.3609i | −0.306947 | + | 1.55703i | ||||
\(172\) | −2.08661 | − | 3.61412i | −0.159103 | − | 0.275574i | ||||
\(173\) | 15.9109 | 1.20968 | 0.604842 | − | 0.796345i | \(-0.293236\pi\) | ||||
0.604842 | + | 0.796345i | \(0.293236\pi\) | |||||||
\(174\) | −11.1480 | − | 13.5602i | −0.845127 | − | 1.02800i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 2.92688 | − | 5.06950i | 0.220622 | − | 0.382128i | ||||
\(177\) | 7.81033 | − | 1.29635i | 0.587060 | − | 0.0974395i | ||||
\(178\) | −9.31110 | + | 16.1273i | −0.697897 | + | 1.20879i | ||||
\(179\) | 3.87665 | + | 6.71456i | 0.289755 | + | 0.501870i | 0.973751 | − | 0.227615i | \(-0.0730929\pi\) |
−0.683996 | + | 0.729485i | \(0.739760\pi\) | |||||||
\(180\) | −0.732546 | − | 0.640214i | −0.0546008 | − | 0.0477187i | ||||
\(181\) | 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 | ||||
\(185\) | 1.02379 | 0.0752703 | ||||||||
\(186\) | 8.83497 | − | 1.46642i | 0.647812 | − | 0.107523i | ||||
\(187\) | 10.4354 | 0.763110 | ||||||||
\(188\) | 4.01754 | 0.293009 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 2.07760 | 0.150725 | ||||||||
\(191\) | −4.96765 | −0.359447 | −0.179723 | − | 0.983717i | \(-0.557520\pi\) | ||||
−0.179723 | + | 0.983717i | \(0.557520\pi\) | |||||||
\(192\) | −16.4628 | + | 2.73247i | −1.18810 | + | 0.197199i | ||||
\(193\) | −14.9044 | −1.07284 | −0.536422 | − | 0.843950i | \(-0.680224\pi\) | ||||
−0.536422 | + | 0.843950i | \(0.680224\pi\) | |||||||
\(194\) | 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 | \(0.773524\pi\) | |||||||
\(198\) | −1.98288 | + | 10.0585i | −0.140917 | + | 0.714824i | ||||
\(199\) | 9.97208 | + | 17.2722i | 0.706902 | + | 1.22439i | 0.966001 | + | 0.258540i | \(0.0832413\pi\) |
−0.259098 | + | 0.965851i | \(0.583425\pi\) | |||||||
\(200\) | 1.11168 | − | 1.92549i | 0.0786077 | − | 0.136152i | ||||
\(201\) | −10.5713 | + | 1.75461i | −0.745641 | + | 0.123761i | ||||
\(202\) | 15.2411 | − | 26.3984i | 1.07236 | − | 1.85739i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | −15.2957 | − | 18.6055i | −1.07092 | − | 1.30264i | ||||
\(205\) | 0.338983 | 0.0236756 | ||||||||
\(206\) | −0.209419 | − | 0.362724i | −0.0145909 | − | 0.0252722i | ||||
\(207\) | 13.9641 | + | 12.2040i | 0.970574 | + | 0.848240i | ||||
\(208\) | 0.351587 | − | 0.608967i | 0.0243782 | − | 0.0422243i | ||||
\(209\) | −5.75556 | − | 9.96893i | −0.398121 | − | 0.689565i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 11.7569 | − | 20.3636i | 0.809381 | − | 1.40189i | −0.103912 | − | 0.994587i | \(-0.533136\pi\) |
0.913293 | − | 0.407303i | \(-0.133531\pi\) | |||||||
\(212\) | −5.92742 | − | 10.2666i | −0.407097 | − | 0.705112i | ||||
\(213\) | 2.18282 | − | 0.362302i | 0.149564 | − | 0.0248245i | ||||
\(214\) | 7.15581 | − | 12.3942i | 0.489161 | − | 0.847252i | ||||
\(215\) | −0.137616 | + | 0.238358i | −0.00938535 | + | 0.0162559i | ||||
\(216\) | 2.04370 | − | 1.09912i | 0.139056 | − | 0.0747860i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 6.83983 | + | 11.8469i | 0.463252 | + | 0.802376i | ||||
\(219\) | 1.71284 | + | 2.08347i | 0.115743 | + | 0.140788i | ||||
\(220\) | 0.539638 | 0.0363824 | ||||||||
\(221\) | 1.25354 | 0.0843220 | ||||||||
\(222\) | −8.75137 | + | 23.3122i | −0.587353 | + | 1.56462i | ||||
\(223\) | −2.03052 | − | 3.51696i | −0.135974 | − | 0.235513i | 0.789995 | − | 0.613113i | \(-0.210083\pi\) |
−0.925969 | + | 0.377600i | \(0.876750\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 2.88879 | − | 14.6538i | 0.192586 | − | 0.976921i | ||||
\(226\) | −0.0396834 | + | 0.0687336i | −0.00263970 | + | 0.00457209i | ||||
\(227\) | −1.92643 | + | 3.33667i | −0.127861 | + | 0.221462i | −0.922848 | − | 0.385165i | \(-0.874145\pi\) |
0.794986 | + | 0.606627i | \(0.207478\pi\) | |||||||
\(228\) | −9.33756 | + | 24.8738i | −0.618395 | + | 1.64731i | ||||
\(229\) | 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 | ||||
\(233\) | −8.75115 | + | 15.1574i | −0.573307 | + | 0.992997i | 0.422916 | + | 0.906169i | \(0.361007\pi\) |
−0.996223 | + | 0.0868284i | \(0.972327\pi\) | |||||||
\(234\) | −0.238191 | + | 1.20826i | −0.0155711 | + | 0.0789864i | ||||
\(235\) | −0.132482 | − | 0.229466i | −0.00864218 | − | 0.0149687i | ||||
\(236\) | 10.1360 | 0.659795 | ||||||||
\(237\) | 21.8638 | − | 3.62892i | 1.42020 | − | 0.235724i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 3.65857 | − | 6.33683i | 0.236653 | − | 0.409895i | −0.723099 | − | 0.690745i | \(-0.757283\pi\) |
0.959752 | + | 0.280849i | \(0.0906161\pi\) | |||||||
\(240\) | 0.565880 | + | 0.688327i | 0.0365274 | + | 0.0444313i | ||||
\(241\) | 3.11553 | − | 5.39626i | 0.200689 | − | 0.347604i | −0.748062 | − | 0.663629i | \(-0.769015\pi\) |
0.948751 | + | 0.316026i | \(0.102349\pi\) | |||||||
\(242\) | 8.45174 | + | 14.6389i | 0.543299 | + | 0.941021i | ||||
\(243\) | 10.6074 | − | 11.4229i | 0.680467 | − | 0.732779i | ||||
\(244\) | 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 | ||||
\(248\) | 1.12440 | 0.0713997 | ||||||||
\(249\) | −8.26470 | − | 10.0530i | −0.523754 | − | 0.637085i | ||||
\(250\) | −2.99694 | −0.189543 | ||||||||
\(251\) | −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 | ||||||||
\(254\) | 27.6808 | 1.73684 | ||||||||
\(255\) | −0.558279 | + | 1.48717i | −0.0349608 | + | 0.0931299i | ||||
\(256\) | 11.9760 | 0.748501 | ||||||||
\(257\) | 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 | ||||||||
\(261\) | −11.1480 | − | 9.74286i | −0.690043 | − | 0.603068i | ||||
\(262\) | −20.3653 | − | 35.2737i | −1.25817 | − | 2.17922i | ||||
\(263\) | 11.1200 | − | 19.2605i | 0.685691 | − | 1.18765i | −0.287528 | − | 0.957772i | \(-0.592834\pi\) |
0.973219 | − | 0.229879i | \(-0.0738331\pi\) | |||||||
\(264\) | −0.452366 | + | 1.20503i | −0.0278412 | + | 0.0741645i | ||||
\(265\) | −0.390925 | + | 0.677101i | −0.0240143 | + | 0.0415940i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −5.51988 | + | 14.7041i | −0.337811 | + | 0.899876i | ||||
\(268\) | −13.7191 | −0.838024 | ||||||||
\(269\) | 1.19442 | + | 2.06880i | 0.0728251 | + | 0.126137i | 0.900138 | − | 0.435604i | \(-0.143465\pi\) |
−0.827313 | + | 0.561741i | \(0.810132\pi\) | |||||||
\(270\) | −1.32737 | − | 0.820699i | −0.0807811 | − | 0.0499462i | ||||
\(271\) | 11.6129 | − | 20.1142i | 0.705435 | − | 1.22185i | −0.261100 | − | 0.965312i | \(-0.584085\pi\) |
0.966534 | − | 0.256537i | \(-0.0825815\pi\) | |||||||
\(272\) | 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 | ||||
\(276\) | 15.0780 | + | 18.3406i | 0.907590 | + | 1.10398i | ||||
\(277\) | 2.30900 | − | 3.99931i | 0.138734 | − | 0.240295i | −0.788283 | − | 0.615312i | \(-0.789030\pi\) |
0.927018 | + | 0.375017i | \(0.122363\pi\) | |||||||
\(278\) | −12.8666 | + | 22.2857i | −0.771690 | + | 1.33661i | ||||
\(279\) | 7.14837 | − | 2.44018i | 0.427962 | − | 0.146090i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 5.90841 | + | 10.2337i | 0.352466 | + | 0.610489i | 0.986681 | − | 0.162668i | \(-0.0520098\pi\) |
−0.634215 | + | 0.773157i | \(0.718676\pi\) | |||||||
\(282\) | 6.35754 | − | 1.05522i | 0.378586 | − | 0.0628372i | ||||
\(283\) | −15.8497 | −0.942165 | −0.471082 | − | 0.882089i | \(-0.656137\pi\) | ||||
−0.471082 | + | 0.882089i | \(0.656137\pi\) | |||||||
\(284\) | 2.83279 | 0.168095 | ||||||||
\(285\) | 1.72861 | − | 0.286912i | 0.102394 | − | 0.0169952i | ||||
\(286\) | −0.341548 | − | 0.591579i | −0.0201962 | − | 0.0349808i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | −23.0466 | + | 7.86723i | −1.35803 | + | 0.463581i | ||||
\(289\) | −11.1634 | + | 19.3355i | −0.656669 | + | 1.13738i | ||||
\(290\) | −0.741102 | + | 1.28363i | −0.0435190 | + | 0.0753772i | ||||
\(291\) | 8.76687 | + | 10.6639i | 0.513923 | + | 0.625127i | ||||
\(292\) | 1.72652 | + | 2.99042i | 0.101037 | + | 0.175001i | ||||
\(293\) | −7.04804 | + | 12.2076i | −0.411751 | + | 0.713173i | −0.995081 | − | 0.0990615i | \(-0.968416\pi\) |
0.583330 | + | 0.812235i | \(0.301749\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −0.334243 | − | 0.578927i | −0.0194604 | − | 0.0337064i | ||||
\(296\) | −1.56314 | + | 2.70744i | −0.0908557 | + | 0.157367i | ||||
\(297\) | −0.260748 | + | 8.64268i | −0.0151302 | + | 0.501499i | ||||
\(298\) | −18.2438 | − | 31.5993i | −1.05684 | − | 1.83050i | ||||
\(299\) | −1.23569 | −0.0714619 | ||||||||
\(300\) | 6.72029 | − | 17.9018i | 0.387996 | − | 1.03356i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | −8.69307 | + | 15.0568i | −0.500230 | + | 0.866424i | ||||
\(303\) | 9.03537 | − | 24.0688i | 0.519068 | − | 1.38272i | ||||
\(304\) | 12.1673 | − | 21.0744i | 0.697843 | − | 1.20870i | ||||
\(305\) | −0.0495974 | − | 0.0859053i | −0.00283994 | − | 0.00491892i | ||||
\(306\) | −29.0915 | − | 25.4247i | −1.66305 | − | 1.45343i | ||||
\(307\) | −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 | ||||
\(311\) | 14.0557 | 0.797026 | 0.398513 | − | 0.917163i | \(-0.369526\pi\) | ||||
0.398513 | + | 0.917163i | \(0.369526\pi\) | |||||||
\(312\) | −0.0543399 | + | 0.144753i | −0.00307639 | + | 0.00819501i | ||||
\(313\) | −21.7446 | −1.22908 | −0.614540 | − | 0.788886i | \(-0.710658\pi\) | ||||
−0.614540 | + | 0.788886i | \(0.710658\pi\) | |||||||
\(314\) | −11.7045 | −0.660520 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 28.3740 | 1.59616 | ||||||||
\(317\) | 8.56297 | 0.480944 | 0.240472 | − | 0.970656i | \(-0.422698\pi\) | ||||
0.240472 | + | 0.970656i | \(0.422698\pi\) | |||||||
\(318\) | −12.0764 | − | 14.6895i | −0.677209 | − | 0.823745i | ||||
\(319\) | 8.21228 | 0.459799 | ||||||||
\(320\) | 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 | ||||||||
\(324\) | 15.7914 | − | 12.2032i | 0.877301 | − | 0.677955i | ||||
\(325\) | 0.497589 | + | 0.861850i | 0.0276013 | + | 0.0478068i | ||||
\(326\) | −2.18235 | + | 3.77995i | −0.120869 | + | 0.209352i | ||||
\(327\) | 7.32692 | + | 8.91233i | 0.405179 | + | 0.492853i | ||||
\(328\) | −0.517568 | + | 0.896453i | −0.0285779 | + | 0.0494984i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 0.853949 | − | 0.141737i | 0.0470083 | − | 0.00780239i | ||||
\(331\) | 10.8472 | 0.596216 | 0.298108 | − | 0.954532i | \(-0.403644\pi\) | ||||
0.298108 | + | 0.954532i | \(0.403644\pi\) | |||||||
\(332\) | −8.33070 | − | 14.4292i | −0.457207 | − | 0.791905i | ||||
\(333\) | −4.06195 | + | 20.6048i | −0.222593 | + | 1.12914i | ||||
\(334\) | 11.8849 | − | 20.5853i | 0.650314 | − | 1.12638i | ||||
\(335\) | 0.452399 | + | 0.783578i | 0.0247172 | + | 0.0428114i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 1.67411 | − | 2.89964i | 0.0911945 | − | 0.157954i | −0.816819 | − | 0.576893i | \(-0.804265\pi\) |
0.908014 | + | 0.418940i | \(0.137598\pi\) | |||||||
\(338\) | 13.3077 | + | 23.0496i | 0.723842 | + | 1.25373i | ||||
\(339\) | −0.0235254 | + | 0.0626679i | −0.00127772 | + | 0.00340365i | ||||
\(340\) | −1.01684 | + | 1.76122i | −0.0551459 | + | 0.0955154i | ||||
\(341\) | −2.09486 | + | 3.62840i | −0.113443 | + | 0.196489i | ||||
\(342\) | −8.24304 | + | 41.8140i | −0.445732 | + | 2.26104i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | −0.420231 | − | 0.727861i | −0.0226573 | − | 0.0392437i | ||||
\(345\) | 0.550332 | − | 1.46600i | 0.0296289 | − | 0.0789266i | ||||
\(346\) | 32.6754 | 1.75664 | ||||||||
\(347\) | −11.5330 | −0.619126 | −0.309563 | − | 0.950879i | \(-0.600183\pi\) | ||||
−0.309563 | + | 0.950879i | \(0.600183\pi\) | |||||||
\(348\) | −12.0372 | − | 14.6419i | −0.645263 | − | 0.784886i | ||||
\(349\) | 4.44917 | + | 7.70619i | 0.238159 | + | 0.412503i | 0.960186 | − | 0.279362i | \(-0.0901228\pi\) |
−0.722027 | + | 0.691865i | \(0.756789\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −0.0313221 | + | 1.03819i | −0.00167185 | + | 0.0554145i | ||||
\(352\) | 6.75390 | − | 11.6981i | 0.359984 | − | 0.623511i | ||||
\(353\) | −1.32349 | + | 2.29236i | −0.0704424 | + | 0.122010i | −0.899095 | − | 0.437753i | \(-0.855774\pi\) |
0.828653 | + | 0.559763i | \(0.189108\pi\) | |||||||
\(354\) | 16.0396 | − | 2.66224i | 0.852497 | − | 0.141496i | ||||
\(355\) | −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 | ||||
\(359\) | −12.9835 | + | 22.4882i | −0.685245 | + | 1.18688i | 0.288114 | + | 0.957596i | \(0.406972\pi\) |
−0.973360 | + | 0.229284i | \(0.926362\pi\) | |||||||
\(360\) | −0.147530 | − | 0.128935i | −0.00777553 | − | 0.00679547i | ||||
\(361\) | −14.4264 | − | 24.9873i | −0.759286 | − | 1.31512i | ||||
\(362\) | 24.9761 | 1.31271 | ||||||||
\(363\) | 9.05362 | + | 11.0127i | 0.475192 | + | 0.578014i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 0.113867 | − | 0.197224i | 0.00596009 | − | 0.0103232i | ||||
\(366\) | 2.38008 | − | 0.395042i | 0.124409 | − | 0.0206492i | ||||
\(367\) | 8.79371 | − | 15.2312i | 0.459028 | − | 0.795060i | −0.539882 | − | 0.841741i | \(-0.681531\pi\) |
0.998910 | + | 0.0466808i | \(0.0148644\pi\) | |||||||
\(368\) | −10.8732 | − | 18.8330i | −0.566806 | − | 0.981736i | ||||
\(369\) | −1.34494 | + | 6.82241i | −0.0700148 | + | 0.355160i | ||||
\(370\) | 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 | \(0.840051\pi\) | |||||||
\(374\) | 21.4306 | 1.10815 | ||||||||
\(375\) | −2.49352 | + | 0.413871i | −0.128765 | + | 0.0213722i | ||||
\(376\) | 0.809107 | 0.0417265 | ||||||||
\(377\) | 0.986490 | 0.0508068 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −20.4312 | −1.04948 | −0.524741 | − | 0.851262i | \(-0.675838\pi\) | ||||
−0.524741 | + | 0.851262i | \(0.675838\pi\) | |||||||
\(380\) | 2.24333 | 0.115080 | ||||||||
\(381\) | 23.0310 | − | 3.82265i | 1.17991 | − | 0.195840i | ||||
\(382\) | −10.2018 | −0.521969 | ||||||||
\(383\) | 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 | ||||||||
\(387\) | −4.25121 | − | 3.71538i | −0.216101 | − | 0.188863i | ||||
\(388\) | 8.83688 | + | 15.3059i | 0.448625 | + | 0.777041i | ||||
\(389\) | −7.81392 | + | 13.5341i | −0.396181 | + | 0.686206i | −0.993251 | − | 0.115983i | \(-0.962998\pi\) |
0.597070 | + | 0.802189i | \(0.296331\pi\) | |||||||
\(390\) | 0.102580 | − | 0.0170260i | 0.00519431 | − | 0.000862146i | ||||
\(391\) | 19.3835 | − | 33.5731i | 0.980264 | − | 1.69787i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −21.8156 | − | 26.5360i | −1.10045 | − | 1.33857i | ||||
\(394\) | −43.6622 | −2.19967 | ||||||||
\(395\) | −0.935661 | − | 1.62061i | −0.0470782 | − | 0.0815419i | ||||
\(396\) | −2.14105 | + | 10.8608i | −0.107592 | + | 0.545776i | ||||
\(397\) | −9.63064 | + | 16.6808i | −0.483348 | + | 0.837183i | −0.999817 | − | 0.0191225i | \(-0.993913\pi\) |
0.516469 | + | 0.856306i | \(0.327246\pi\) | |||||||
\(398\) | 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 | \(0.949563\pi\) | |||||||
\(402\) | −21.7097 | + | 3.60335i | −1.08278 | + | 0.179719i | ||||
\(403\) | −0.251642 | + | 0.435857i | −0.0125352 | + | 0.0217116i | ||||
\(404\) | 16.4569 | − | 28.5041i | 0.818760 | − | 1.41813i | ||||
\(405\) | −1.21774 | − | 0.499532i | −0.0605098 | − | 0.0248219i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −5.82452 | − | 10.0884i | −0.288711 | − | 0.500062i | ||||
\(408\) | −3.08047 | − | 3.74703i | −0.152506 | − | 0.185505i | ||||
\(409\) | −31.8610 | −1.57542 | −0.787712 | − | 0.616044i | \(-0.788734\pi\) | ||||
−0.787712 | + | 0.616044i | \(0.788734\pi\) | |||||||
\(410\) | 0.696152 | 0.0343805 | ||||||||
\(411\) | 3.92332 | − | 10.4511i | 0.193523 | − | 0.515514i | ||||
\(412\) | −0.226124 | − | 0.391657i | −0.0111403 | − | 0.0192956i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 28.6774 | + | 25.0628i | 1.40942 | + | 1.23177i | ||||
\(415\) | −0.549426 | + | 0.951633i | −0.0269702 | + | 0.0467138i | ||||
\(416\) | 0.811304 | − | 1.40522i | 0.0397774 | − | 0.0688965i | ||||
\(417\) | −7.62771 | + | 20.3190i | −0.373530 | + | 0.995025i | ||||
\(418\) | −11.8199 | − | 20.4726i | −0.578130 | − | 1.00135i | ||||
\(419\) | −11.9480 | + | 20.6945i | −0.583697 | + | 1.01099i | 0.411339 | + | 0.911482i | \(0.365061\pi\) |
−0.995036 | + | 0.0995110i | \(0.968272\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −1.22251 | − | 2.11744i | −0.0595813 | − | 0.103198i | 0.834696 | − | 0.550711i | \(-0.185643\pi\) |
−0.894278 | + | 0.447513i | \(0.852310\pi\) | |||||||
\(422\) | 24.1446 | − | 41.8197i | 1.17534 | − | 2.03575i | ||||
\(423\) | 5.14388 | − | 1.75592i | 0.250104 | − | 0.0853759i | ||||
\(424\) | −1.19375 | − | 2.06763i | −0.0579734 | − | 0.100413i | ||||
\(425\) | −31.2214 | −1.51446 | ||||||||
\(426\) | 4.48274 | − | 0.744039i | 0.217189 | − | 0.0360488i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 7.72661 | − | 13.3829i | 0.373480 | − | 0.646886i | ||||
\(429\) | −0.365871 | − | 0.445039i | −0.0176644 | − | 0.0214867i | ||||
\(430\) | −0.282615 | + | 0.489503i | −0.0136289 | + | 0.0236059i | ||||
\(431\) | 2.46382 | + | 4.26746i | 0.118678 | + | 0.205556i | 0.919244 | − | 0.393688i | \(-0.128801\pi\) |
−0.800566 | + | 0.599244i | \(0.795468\pi\) | |||||||
\(432\) | −16.0985 | + | 8.65797i | −0.774539 | + | 0.416557i | ||||
\(433\) | −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 | ||||
\(437\) | −42.7633 | −2.04565 | ||||||||
\(438\) | 3.51757 | + | 4.27871i | 0.168076 | + | 0.204444i | ||||
\(439\) | −2.44822 | −0.116847 | −0.0584235 | − | 0.998292i | \(-0.518607\pi\) | ||||
−0.0584235 | + | 0.998292i | \(0.518607\pi\) | |||||||
\(440\) | 0.108680 | 0.00518110 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 2.57432 | 0.122448 | ||||||||
\(443\) | −26.2950 | −1.24931 | −0.624657 | − | 0.780899i | \(-0.714761\pi\) | ||||
−0.624657 | + | 0.780899i | \(0.714761\pi\) | |||||||
\(444\) | −9.44944 | + | 25.1718i | −0.448450 | + | 1.19460i | ||||
\(445\) | 1.32614 | 0.0628650 | ||||||||
\(446\) | −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 | \(0.866526\pi\) | |||||||
\(450\) | 5.93255 | − | 30.0937i | 0.279663 | − | 1.41863i | ||||
\(451\) | −1.92854 | − | 3.34034i | −0.0908116 | − | 0.157290i | ||||
\(452\) | −0.0428488 | + | 0.0742163i | −0.00201544 | + | 0.00349084i | ||||
\(453\) | −5.15350 | + | 13.7281i | −0.242132 | + | 0.645002i | ||||
\(454\) | −3.95620 | + | 6.85233i | −0.185673 | + | 0.321596i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −1.88053 | + | 5.00943i | −0.0880638 | + | 0.234588i | ||||
\(457\) | −9.15511 | −0.428258 | −0.214129 | − | 0.976805i | \(-0.568691\pi\) | ||||
−0.214129 | + | 0.976805i | \(0.568691\pi\) | |||||||
\(458\) | 13.4681 | + | 23.3274i | 0.629321 | + | 1.09002i | ||||
\(459\) | −27.7158 | − | 17.1364i | −1.29366 | − | 0.799859i | ||||
\(460\) | 1.00237 | − | 1.73615i | 0.0467355 | − | 0.0809483i | ||||
\(461\) | −14.6152 | − | 25.3143i | −0.680698 | − | 1.17900i | −0.974768 | − | 0.223220i | \(-0.928343\pi\) |
0.294070 | − | 0.955784i | \(-0.404990\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −8.21031 | + | 14.2207i | −0.381565 | + | 0.660891i | −0.991286 | − | 0.131726i | \(-0.957948\pi\) |
0.609721 | + | 0.792616i | \(0.291282\pi\) | |||||||
\(464\) | 8.68041 | + | 15.0349i | 0.402978 | + | 0.697978i | ||||
\(465\) | −0.405018 | − | 0.492657i | −0.0187823 | − | 0.0228464i | ||||
\(466\) | −17.9718 | + | 31.1280i | −0.832526 | + | 1.44198i | ||||
\(467\) | −7.68632 | + | 13.3131i | −0.355680 | + | 0.616057i | −0.987234 | − | 0.159276i | \(-0.949084\pi\) |
0.631554 | + | 0.775332i | \(0.282418\pi\) | |||||||
\(468\) | −0.257191 | + | 1.30464i | −0.0118887 | + | 0.0603070i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | −0.272071 | − | 0.471241i | −0.0125497 | − | 0.0217367i | ||||
\(471\) | −9.73834 | + | 1.61636i | −0.448719 | + | 0.0744779i | ||||
\(472\) | 2.04132 | 0.0939594 | ||||||||
\(473\) | 3.13170 | 0.143996 | ||||||||
\(474\) | 44.9004 | − | 7.45252i | 2.06234 | − | 0.342305i | ||||
\(475\) | 17.2200 | + | 29.8259i | 0.790106 | + | 1.36850i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −12.0764 | − | 10.5542i | −0.552939 | − | 0.483245i | ||||
\(478\) | 7.51341 | − | 13.0136i | 0.343655 | − | 0.595228i | ||||
\(479\) | −18.9646 | + | 32.8476i | −0.866513 | + | 1.50084i | −0.000975329 | 1.00000i | \(0.500310\pi\) | |
−0.865537 | + | 0.500844i | \(0.833023\pi\) | |||||||
\(480\) | 1.30579 | + | 1.58834i | 0.0596011 | + | 0.0724977i | ||||
\(481\) | −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 | ||||
\(485\) | 0.582809 | − | 1.00946i | 0.0264640 | − | 0.0458370i | ||||
\(486\) | 21.7839 | − | 23.4586i | 0.988137 | − | 1.06410i | ||||
\(487\) | 2.30247 | + | 3.98800i | 0.104335 | + | 0.180714i | 0.913466 | − | 0.406914i | \(-0.133395\pi\) |
−0.809131 | + | 0.587628i | \(0.800062\pi\) | |||||||
\(488\) | 0.302906 | 0.0137119 | ||||||||
\(489\) | −1.29376 | + | 3.44637i | −0.0585058 | + | 0.155850i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −15.1876 | + | 26.3056i | −0.685405 | + | 1.18716i | 0.287904 | + | 0.957659i | \(0.407042\pi\) |
−0.973309 | + | 0.229497i | \(0.926292\pi\) | |||||||
\(492\) | −3.12878 | + | 8.33457i | −0.141056 | + | 0.375752i | ||||
\(493\) | −15.4744 | + | 26.8024i | −0.696932 | + | 1.20712i | ||||
\(494\) | −1.41985 | − | 2.45925i | −0.0638820 | − | 0.110647i | ||||
\(495\) | 0.690929 | − | 0.235857i | 0.0310549 | − | 0.0106010i | ||||
\(496\) | −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 | \(0.899854\pi\) | |||||||
\(500\) | −3.23600 | −0.144718 | ||||||||
\(501\) | 7.04571 | − | 18.7687i | 0.314779 | − | 0.838522i | ||||
\(502\) | −11.6089 | −0.518131 | ||||||||
\(503\) | 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 | ||||||||
\(506\) | −21.1255 | −0.939143 | ||||||||
\(507\) | 14.2553 | + | 17.3399i | 0.633102 | + | 0.770094i | ||||
\(508\) | 29.8888 | 1.32610 | ||||||||
\(509\) | −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 | ||||||||
\(513\) | −1.08396 | + | 35.9284i | −0.0478578 | + | 1.58628i | ||||
\(514\) | 12.1182 | + | 20.9893i | 0.534511 | + | 0.925800i | ||||
\(515\) | −0.0149133 | + | 0.0258306i | −0.000657158 | + | 0.00113823i | ||||
\(516\) | −4.59032 | − | 5.58358i | −0.202078 | − | 0.245804i | ||||
\(517\) | −1.50743 | + | 2.61095i | −0.0662969 | + | 0.114830i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 27.1866 | − | 4.51240i | 1.19336 | − | 0.198072i | ||||
\(520\) | 0.0130550 | 0.000572500 | ||||||||
\(521\) | −17.4641 | − | 30.2488i | −0.765117 | − | 1.32522i | −0.940185 | − | 0.340666i | \(-0.889348\pi\) |
0.175067 | − | 0.984556i | \(-0.443986\pi\) | |||||||
\(522\) | −22.8940 | − | 20.0084i | −1.00204 | − | 0.875743i | ||||
\(523\) | 11.8735 | − | 20.5656i | 0.519194 | − | 0.899270i | −0.480557 | − | 0.876963i | \(-0.659566\pi\) |
0.999751 | − | 0.0223069i | \(-0.00710109\pi\) | |||||||
\(524\) | −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 | ||||
\(528\) | 3.56335 | − | 9.49220i | 0.155075 | − | 0.413095i | ||||
\(529\) | −7.60755 | + | 13.1767i | −0.330763 | + | 0.572898i | ||||
\(530\) | −0.802820 | + | 1.39053i | −0.0348723 | + | 0.0604006i | ||||
\(531\) | 12.9777 | − | 4.43008i | 0.563182 | − | 0.192249i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −0.231664 | − | 0.401254i | −0.0100345 | − | 0.0173802i | ||||
\(534\) | −11.3359 | + | 30.1970i | −0.490552 | + | 1.30675i | ||||
\(535\) | −1.01917 | −0.0440626 | ||||||||
\(536\) | −2.76293 | −0.119340 | ||||||||
\(537\) | 8.52822 | + | 10.3736i | 0.368020 | + | 0.447652i | ||||
\(538\) | 2.45292 | + | 4.24857i | 0.105753 | + | 0.183169i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −1.43325 | − | 0.886164i | −0.0616773 | − | 0.0381344i | ||||
\(541\) | 8.58542 | − | 14.8704i | 0.369116 | − | 0.639328i | −0.620311 | − | 0.784356i | \(-0.712994\pi\) |
0.989428 | + | 0.145028i | \(0.0463271\pi\) | |||||||
\(542\) | 23.8488 | − | 41.3074i | 1.02439 | − | 1.77430i | ||||
\(543\) | 20.7806 | − | 3.44914i | 0.891782 | − | 0.148017i | ||||
\(544\) | 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 | 0.568910 | − | 0.822400i | \(-0.307365\pi\) |
−0.996674 | + | 0.0814901i | \(0.974032\pi\) | |||||||
\(548\) | 7.14586 | − | 12.3770i | 0.305256 | − | 0.528719i | ||||
\(549\) | 1.92572 | − | 0.657366i | 0.0821876 | − | 0.0280557i | ||||
\(550\) | 8.50683 | + | 14.7343i | 0.362732 | + | 0.628271i | ||||
\(551\) | 34.1392 | 1.45438 | ||||||||
\(552\) | 3.03662 | + | 3.69369i | 0.129247 | + | 0.157214i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 4.74187 | − | 8.21316i | 0.201463 | − | 0.348944i | ||||
\(555\) | 1.74932 | − | 0.290350i | 0.0742544 | − | 0.0123247i | ||||
\(556\) | −13.8930 | + | 24.0633i | −0.589193 | + | 1.02051i | ||||
\(557\) | −0.122740 | − | 0.212593i | −0.00520068 | − | 0.00900784i | 0.863413 | − | 0.504497i | \(-0.168322\pi\) |
−0.868614 | + | 0.495489i | \(0.834989\pi\) | |||||||
\(558\) | 14.6802 | − | 5.01126i | 0.621463 | − | 0.212144i | ||||
\(559\) | 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 | ||||
\(563\) | 44.2509 | 1.86495 | 0.932477 | − | 0.361230i | \(-0.117643\pi\) | ||||
0.932477 | + | 0.361230i | \(0.117643\pi\) | |||||||
\(564\) | 6.86466 | − | 1.13939i | 0.289054 | − | 0.0479769i | ||||
\(565\) | 0.00565192 | 0.000237778 | ||||||||
\(566\) | −32.5496 | −1.36816 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0.570506 | 0.0239379 | ||||||||
\(569\) | −5.53533 | −0.232053 | −0.116027 | − | 0.993246i | \(-0.537016\pi\) | ||||
−0.116027 | + | 0.993246i | \(0.537016\pi\) | |||||||
\(570\) | 3.54995 | − | 0.589216i | 0.148691 | − | 0.0246795i | ||||
\(571\) | −4.10381 | −0.171739 | −0.0858696 | − | 0.996306i | \(-0.527367\pi\) | ||||
−0.0858696 | + | 0.996306i | \(0.527367\pi\) | |||||||
\(572\) | −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 | ||||||||
\(576\) | −27.3545 | + | 9.33780i | −1.13977 | + | 0.389075i | ||||
\(577\) | 2.82275 | + | 4.88915i | 0.117513 | + | 0.203538i | 0.918781 | − | 0.394767i | \(-0.129175\pi\) |
−0.801269 | + | 0.598305i | \(0.795841\pi\) | |||||||
\(578\) | −22.9256 | + | 39.7083i | −0.953579 | + | 1.65165i | ||||
\(579\) | −25.4668 | + | 4.22695i | −1.05836 | + | 0.175666i | ||||
\(580\) | −0.800218 | + | 1.38602i | −0.0332272 | + | 0.0575513i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 18.0040 | + | 21.8998i | 0.746292 | + | 0.907776i | ||||
\(583\) | 8.89619 | 0.368442 | ||||||||
\(584\) | 0.347710 | + | 0.602252i | 0.0143884 | + | 0.0249214i | ||||
\(585\) | 0.0829970 | − | 0.0283320i | 0.00343150 | − | 0.00117138i | ||||
\(586\) | −14.4742 | + | 25.0700i | −0.597923 | + | 1.03563i | ||||
\(587\) | −9.36644 | − | 16.2232i | −0.386595 | − | 0.669601i | 0.605394 | − | 0.795926i | \(-0.293015\pi\) |
−0.991989 | + | 0.126324i | \(0.959682\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −8.70852 | + | 15.0836i | −0.358828 | + | 0.621509i | ||||
\(590\) | −0.686417 | − | 1.18891i | −0.0282594 | − | 0.0489466i | ||||
\(591\) | −36.3278 | + | 6.02965i | −1.49433 | + | 0.248027i | ||||
\(592\) | 12.3131 | − | 21.3269i | 0.506065 | − | 0.876530i | ||||
\(593\) | 9.43516 | − | 16.3422i | 0.387456 | − | 0.671093i | −0.604651 | − | 0.796491i | \(-0.706687\pi\) |
0.992107 | + | 0.125398i | \(0.0400207\pi\) | |||||||
\(594\) | −0.535484 | + | 17.7490i | −0.0219712 | + | 0.728250i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −19.6991 | − | 34.1198i | −0.806906 | − | 1.39760i | ||||
\(597\) | 21.9375 | + | 26.6844i | 0.897842 | + | 1.09212i | ||||
\(598\) | −2.53767 | −0.103773 | ||||||||
\(599\) | 2.67451 | 0.109278 | 0.0546388 | − | 0.998506i | \(-0.482599\pi\) | ||||
0.0546388 | + | 0.998506i | \(0.482599\pi\) | |||||||
\(600\) | 1.35342 | − | 3.60531i | 0.0552533 | − | 0.147186i | ||||
\(601\) | 6.60716 | + | 11.4439i | 0.269511 | + | 0.466808i | 0.968736 | − | 0.248095i | \(-0.0798044\pi\) |
−0.699224 | + | 0.714902i | \(0.746471\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −17.5653 | + | 5.99612i | −0.715313 | + | 0.244181i | ||||
\(604\) | −9.38650 | + | 16.2579i | −0.381931 | + | 0.661524i | ||||
\(605\) | 0.601872 | − | 1.04247i | 0.0244696 | − | 0.0423825i | ||||
\(606\) | 18.5554 | − | 49.4287i | 0.753763 | − | 2.00790i | ||||
\(607\) | 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 | ||||
\(611\) | −0.181079 | + | 0.313637i | −0.00732565 | + | 0.0126884i | ||||
\(612\) | −31.4120 | − | 27.4528i | −1.26976 | − | 1.10971i | ||||
\(613\) | 13.4766 | + | 23.3422i | 0.544316 | + | 0.942784i | 0.998650 | + | 0.0519519i | \(0.0165443\pi\) |
−0.454333 | + | 0.890832i | \(0.650122\pi\) | |||||||
\(614\) | −56.2526 | −2.27017 | ||||||||
\(615\) | 0.579212 | − | 0.0961370i | 0.0233561 | − | 0.00387662i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −4.76588 | + | 8.25474i | −0.191867 | + | 0.332323i | −0.945869 | − | 0.324549i | \(-0.894788\pi\) |
0.754002 | + | 0.656872i | \(0.228121\pi\) | |||||||
\(618\) | −0.460698 | − | 0.560385i | −0.0185320 | − | 0.0225420i | ||||
\(619\) | 17.3536 | − | 30.0573i | 0.697499 | − | 1.20810i | −0.271832 | − | 0.962345i | \(-0.587630\pi\) |
0.969331 | − | 0.245759i | \(-0.0790371\pi\) | |||||||
\(620\) | −0.408253 | − | 0.707114i | −0.0163958 | − | 0.0283984i | ||||
\(621\) | 27.3213 | + | 16.8925i | 1.09637 | + | 0.677871i | ||||
\(622\) | 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 | ||||
\(626\) | −44.6558 | −1.78480 | ||||||||
\(627\) | −12.6616 | − | 15.4014i | −0.505656 | − | 0.615071i | ||||
\(628\) | −12.6381 | −0.504314 | ||||||||
\(629\) | 43.9006 | 1.75043 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −36.7963 | −1.46484 | −0.732419 | − | 0.680854i | \(-0.761609\pi\) | ||||
−0.732419 | + | 0.680854i | \(0.761609\pi\) | |||||||
\(632\) | 5.71435 | 0.227305 | ||||||||
\(633\) | 14.3136 | − | 38.1291i | 0.568914 | − | 1.51550i | ||||
\(634\) | 17.5853 | 0.698401 | ||||||||
\(635\) | −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 | ||||||||
\(639\) | 3.62698 | − | 1.23811i | 0.143481 | − | 0.0489790i | ||||
\(640\) | 0.259699 | + | 0.449811i | 0.0102655 | + | 0.0177804i | ||||
\(641\) | 22.0922 | − | 38.2648i | 0.872590 | − | 1.51137i | 0.0132813 | − | 0.999912i | \(-0.495772\pi\) |
0.859308 | − | 0.511458i | \(-0.170894\pi\) | |||||||
\(642\) | 8.71191 | − | 23.2071i | 0.343831 | − | 0.915912i | ||||
\(643\) | −7.24065 | + | 12.5412i | −0.285543 | + | 0.494575i | −0.972741 | − | 0.231895i | \(-0.925507\pi\) |
0.687197 | + | 0.726471i | \(0.258841\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −0.167542 | + | 0.446305i | −0.00659696 | + | 0.0175732i | ||||
\(646\) | 89.0889 | 3.50515 | ||||||||
\(647\) | 16.6536 | + | 28.8448i | 0.654719 | + | 1.13401i | 0.981964 | + | 0.189068i | \(0.0605465\pi\) |
−0.327245 | + | 0.944940i | \(0.606120\pi\) | |||||||
\(648\) | 3.18029 | − | 2.45765i | 0.124934 | − | 0.0965455i | ||||
\(649\) | −3.80315 | + | 6.58725i | −0.149287 | + | 0.258572i | ||||
\(650\) | 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 | \(0.776565\pi\) | |||||||
\(654\) | 15.0469 | + | 18.3028i | 0.588380 | + | 0.715694i | ||||
\(655\) | −1.45027 | + | 2.51194i | −0.0566666 | + | 0.0981495i | ||||
\(656\) | 4.07696 | − | 7.06150i | 0.159178 | − | 0.275705i | ||||
\(657\) | 3.51757 | + | 3.07420i | 0.137233 | + | 0.119936i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 16.1806 | + | 28.0256i | 0.630305 | + | 1.09172i | 0.987489 | + | 0.157686i | \(0.0504035\pi\) |
−0.357184 | + | 0.934034i | \(0.616263\pi\) | |||||||
\(660\) | 0.922066 | − | 0.153043i | 0.0358914 | − | 0.00595720i | ||||
\(661\) | 8.65915 | 0.336802 | 0.168401 | − | 0.985719i | \(-0.446140\pi\) | ||||
0.168401 | + | 0.985719i | \(0.446140\pi\) | |||||||
\(662\) | 22.2763 | 0.865794 | ||||||||
\(663\) | 2.14189 | − | 0.355508i | 0.0831839 | − | 0.0138068i | ||||
\(664\) | −1.67775 | − | 2.90595i | −0.0651094 | − | 0.112773i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −8.34179 | + | 42.3150i | −0.323238 | + | 1.63967i | ||||
\(667\) | 15.2541 | − | 26.4209i | 0.590642 | − | 1.02302i | ||||
\(668\) | 12.8329 | − | 22.2273i | 0.496522 | − | 0.860001i | ||||
\(669\) | −4.46692 | − | 5.43348i | −0.172701 | − | 0.210070i | ||||
\(670\) | 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 | 0.971237 | − | 0.238114i | \(-0.0765291\pi\) |
−0.691831 | + | 0.722059i | \(0.743196\pi\) | |||||||
\(674\) | 3.43803 | − | 5.95484i | 0.132428 | − | 0.229372i | ||||
\(675\) | 0.780128 | − | 25.8579i | 0.0300271 | − | 0.995270i | ||||
\(676\) | 14.3692 | + | 24.8881i | 0.552661 | + | 0.957236i | ||||
\(677\) | −38.3315 | −1.47320 | −0.736600 | − | 0.676329i | \(-0.763570\pi\) | ||||
−0.736600 | + | 0.676329i | \(0.763570\pi\) | |||||||
\(678\) | −0.0483128 | + | 0.128698i | −0.00185544 | + | 0.00494260i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | −0.204785 | + | 0.354698i | −0.00785315 | + | 0.0136021i | ||||
\(681\) | −2.34534 | + | 6.24762i | −0.0898738 | + | 0.239409i | ||||
\(682\) | −4.30209 | + | 7.45144i | −0.164736 | + | 0.285330i | ||||
\(683\) | −3.31659 | − | 5.74450i | −0.126906 | − | 0.219807i | 0.795570 | − | 0.605861i | \(-0.207171\pi\) |
−0.922476 | + | 0.386054i | \(0.873838\pi\) | |||||||
\(684\) | −8.90056 | + | 45.1494i | −0.340321 | + | 1.72633i | ||||
\(685\) | −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 | ||||
\(689\) | 1.06864 | 0.0407121 | ||||||||
\(690\) | 1.13019 | − | 3.01064i | 0.0430255 | − | 0.114613i | ||||
\(691\) | 23.3875 | 0.889704 | 0.444852 | − | 0.895604i | \(-0.353256\pi\) | ||||
0.444852 | + | 0.895604i | \(0.353256\pi\) | |||||||
\(692\) | 35.2818 | 1.34121 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −23.6848 | −0.899061 | ||||||||
\(695\) | 1.83254 | 0.0695121 | ||||||||
\(696\) | −2.42422 | − | 2.94878i | −0.0918899 | − | 0.111773i | ||||
\(697\) | 14.5358 | 0.550583 | ||||||||
\(698\) | 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 | \(0.444004\pi\) | |||||||
\(702\) | −0.0643244 | + | 2.13208i | −0.00242777 | + | 0.0804700i | ||||
\(703\) | −24.2131 | − | 41.9383i | −0.913214 | − | 1.58173i | ||||
\(704\) | 8.01636 | − | 13.8847i | 0.302128 | − | 0.523301i | ||||
\(705\) | −0.291446 | − | 0.354510i | −0.0109765 | − | 0.0133516i | ||||
\(706\) | −2.71799 | + | 4.70769i | −0.102293 | + | 0.177176i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 17.3191 | − | 2.87460i | 0.650891 | − | 0.108034i | ||||
\(709\) | 14.2355 | 0.534626 | 0.267313 | − | 0.963610i | \(-0.413864\pi\) | ||||
0.267313 | + | 0.963610i | \(0.413864\pi\) | |||||||
\(710\) | −0.191839 | − | 0.332275i | −0.00719959 | − | 0.0124701i | ||||
\(711\) | 36.3289 | − | 12.4013i | 1.36244 | − | 0.465085i | ||||
\(712\) | −2.02478 | + | 3.50702i | −0.0758817 | + | 0.131431i | ||||
\(713\) | 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 | ||||
\(717\) | 4.45416 | − | 11.8652i | 0.166344 | − | 0.443113i | ||||
\(718\) | −26.6636 | + | 46.1827i | −0.995077 | + | 1.72352i | ||||
\(719\) | −6.92848 | + | 12.0005i | −0.258389 | + | 0.447542i | −0.965810 | − | 0.259249i | \(-0.916525\pi\) |
0.707422 | + | 0.706792i | \(0.249858\pi\) | |||||||
\(720\) | 1.16212 | + | 1.01564i | 0.0433096 | + | 0.0378507i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | −29.6268 | − | 51.3151i | −1.10259 | − | 1.90975i | ||||
\(723\) | 3.79303 | − | 10.1040i | 0.141064 | − | 0.375773i | ||||
\(724\) | 26.9684 | 1.00227 | ||||||||
\(725\) | −24.5702 | −0.912513 | ||||||||
\(726\) | 18.5929 | + | 22.6161i | 0.690048 | + | 0.839362i | ||||
\(727\) | −15.7000 | − | 27.1932i | −0.582280 | − | 1.00854i | −0.995208 | − | 0.0977755i | \(-0.968827\pi\) |
0.412928 | − | 0.910764i | \(-0.364506\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 14.8851 | − | 22.5263i | 0.551299 | − | 0.834308i | ||||
\(730\) | 0.233843 | − | 0.405028i | 0.00865492 | − | 0.0149908i | ||||
\(731\) | −5.90107 | + | 10.2209i | −0.218259 | + | 0.378035i | ||||
\(732\) | 2.56993 | − | 0.426554i | 0.0949873 | − | 0.0157659i | ||||
\(733\) | −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 | ||||
\(737\) | 5.14757 | − | 8.91586i | 0.189613 | − | 0.328420i | ||||
\(738\) | −2.76203 | + | 14.0108i | −0.101672 | + | 0.515745i | ||||
\(739\) | 16.5019 | + | 28.5822i | 0.607034 | + | 1.05141i | 0.991727 | + | 0.128368i | \(0.0409740\pi\) |
−0.384693 | + | 0.923045i | \(0.625693\pi\) | |||||||
\(740\) | 2.27020 | 0.0834543 | ||||||||
\(741\) | −1.52096 | − | 1.85007i | −0.0558739 | − | 0.0679640i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 19.3008 | − | 33.4299i | 0.708076 | − | 1.22642i | −0.257493 | − | 0.966280i | \(-0.582897\pi\) |
0.965570 | − | 0.260144i | \(-0.0837701\pi\) | |||||||
\(744\) | 1.92124 | − | 0.318885i | 0.0704360 | − | 0.0116909i | ||||
\(745\) | −1.29919 | + | 2.25027i | −0.0475988 | + | 0.0824435i | ||||
\(746\) | −0.836938 | − | 1.44962i | −0.0306425 | − | 0.0530743i | ||||
\(747\) | −16.9728 | − | 14.8335i | −0.621001 | − | 0.542728i | ||||
\(748\) | 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 | \(0.590289\pi\) | |||||||
\(752\) | −6.37345 | −0.232416 | ||||||||
\(753\) | −9.65885 | + | 1.60316i | −0.351988 | + | 0.0584226i | ||||
\(754\) | 2.02590 | 0.0737789 | ||||||||
\(755\) | 1.23811 | 0.0450596 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 22.5927 | 0.821147 | 0.410573 | − | 0.911828i | \(-0.365329\pi\) | ||||
0.410573 | + | 0.911828i | \(0.365329\pi\) | |||||||
\(758\) | −41.9585 | −1.52400 | ||||||||
\(759\) | −17.5768 | + | 2.91738i | −0.637999 | + | 0.105894i | ||||
\(760\) | 0.451792 | 0.0163882 | ||||||||
\(761\) | 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 | ||||||||
\(765\) | −0.532151 | + | 2.69941i | −0.0192400 | + | 0.0975974i | ||||
\(766\) | 18.3727 | + | 31.8224i | 0.663832 | + | 1.14979i | ||||
\(767\) | −0.456849 | + | 0.791286i | −0.0164959 | + | 0.0285717i | ||||
\(768\) | 20.4631 | − | 3.39644i | 0.738399 | − | 0.122559i | ||||
\(769\) | 6.07668 | − | 10.5251i | 0.219131 | − | 0.379546i | −0.735412 | − | 0.677621i | \(-0.763011\pi\) |
0.954542 | + | 0.298075i | \(0.0963445\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 12.9812 | + | 15.7901i | 0.467505 | + | 0.568665i | ||||
\(772\) | −33.0499 | −1.18949 | ||||||||
\(773\) | 20.7795 | + | 35.9912i | 0.747388 | + | 1.29451i | 0.949071 | + | 0.315063i | \(0.102026\pi\) |
−0.201682 | + | 0.979451i | \(0.564641\pi\) | |||||||
\(774\) | −8.73049 | − | 7.63007i | −0.313811 | − | 0.274257i | ||||
\(775\) | 6.26756 | − | 10.8557i | 0.225137 | − | 0.389950i | ||||
\(776\) | 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 | ||||
\(780\) | 0.110762 | − | 0.0183841i | 0.00396591 | − | 0.000658258i | ||||
\(781\) | −1.06290 | + | 1.84100i | −0.0380336 | + | 0.0658761i | ||||
\(782\) | 39.8068 | − | 68.9473i | 1.42349 | − | 2.46555i | ||||
\(783\) | −21.8114 | − | 13.4858i | −0.779476 | − | 0.481942i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 0.416753 | + | 0.721837i | 0.0148746 | + | 0.0257635i | ||||
\(786\) | −44.8014 | − | 54.4956i | −1.59801 | − | 1.94379i | ||||
\(787\) | 20.8969 | 0.744893 | 0.372446 | − | 0.928054i | \(-0.378519\pi\) | ||||
0.372446 | + | 0.928054i | \(0.378519\pi\) | |||||||
\(788\) | −47.1450 | −1.67947 | ||||||||
\(789\) | 13.5382 | − | 36.0636i | 0.481972 | − | 1.28390i | ||||
\(790\) | −1.92152 | − | 3.32816i | −0.0683645 | − | 0.118411i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | −0.431195 | + | 2.18730i | −0.0153218 | + | 0.0777222i | ||||
\(793\) | −0.0677905 | + | 0.117417i | −0.00240731 | + | 0.00416959i | ||||
\(794\) | −19.7779 | + | 34.2564i | −0.701892 | + | 1.21571i | ||||
\(795\) | −0.475934 | + | 1.26781i | −0.0168797 | + | 0.0449647i | ||||
\(796\) | 22.1127 | + | 38.3003i | 0.783763 | + | 1.35752i | ||||
\(797\) | 0.319383 | − | 0.553188i | 0.0113131 | − | 0.0195949i | −0.860313 | − | 0.509765i | \(-0.829732\pi\) |
0.871627 | + | 0.490171i | \(0.163066\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −5.68091 | − | 9.83963i | −0.200976 | − | 0.348101i | ||||
\(800\) | −20.2069 | + | 34.9993i | −0.714420 | + | 1.23741i | ||||
\(801\) | −5.26155 | + | 26.6900i | −0.185908 | + | 0.943043i | ||||
\(802\) | −14.6849 | − | 25.4350i | −0.518541 | − | 0.898139i | ||||
\(803\) | −2.59125 | −0.0914433 | ||||||||
\(804\) | −23.4414 | + | 3.89078i | −0.826714 | + | 0.137217i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −0.516783 | + | 0.895095i | −0.0182029 | + | 0.0315284i | ||||
\(807\) | 2.62759 | + | 3.19616i | 0.0924957 | + | 0.112510i | ||||
\(808\) | 3.31431 | − | 5.74055i | 0.116597 | − | 0.201952i | ||||
\(809\) | 25.2796 | + | 43.7856i | 0.888783 | + | 1.53942i | 0.841315 | + | 0.540545i | \(0.181782\pi\) |
0.0474686 | + | 0.998873i | \(0.484885\pi\) | |||||||
\(810\) | −2.50080 | − | 1.02586i | −0.0878690 | − | 0.0360451i | ||||
\(811\) | 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 | ||||
\(815\) | 0.310823 | 0.0108876 | ||||||||
\(816\) | 24.2653 | + | 29.5159i | 0.849455 | + | 1.03326i | ||||
\(817\) | 13.0188 | 0.455470 | ||||||||
\(818\) | −65.4311 | −2.28775 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0.751682 | 0.0262499 | ||||||||
\(821\) | 43.4413 | 1.51611 | 0.758056 | − | 0.652189i | \(-0.226149\pi\) | ||||
0.758056 | + | 0.652189i | \(0.226149\pi\) | |||||||
\(822\) | 8.05710 | − | 21.4628i | 0.281024 | − | 0.748602i | ||||
\(823\) | 3.96546 | 0.138227 | 0.0691136 | − | 0.997609i | \(-0.477983\pi\) | ||||
0.0691136 | + | 0.997609i | \(0.477983\pi\) | |||||||
\(824\) | −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 | \(0.329754\pi\) | |||||||
\(828\) | 30.9649 | + | 27.0620i | 1.07610 | + | 0.940469i | ||||
\(829\) | 17.5213 | + | 30.3478i | 0.608541 | + | 1.05402i | 0.991481 | + | 0.130251i | \(0.0415782\pi\) |
−0.382940 | + | 0.923773i | \(0.625088\pi\) | |||||||
\(830\) | −1.12833 | + | 1.95432i | −0.0391648 | + | 0.0678353i | ||||
\(831\) | 2.81111 | − | 7.48836i | 0.0975165 | − | 0.259768i | ||||
\(832\) | 0.962955 | − | 1.66789i | 0.0333844 | − | 0.0578236i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | −15.6646 | + | 41.7280i | −0.542421 | + | 1.44492i | ||||
\(835\) | −1.69272 | −0.0585788 | ||||||||
\(836\) | −12.7627 | − | 22.1057i | −0.441408 | − | 0.764541i | ||||
\(837\) | 11.5222 | − | 6.19678i | 0.398265 | − | 0.214192i | ||||
\(838\) | −24.5369 | + | 42.4992i | −0.847614 | + | 1.46811i | ||||
\(839\) | 18.7921 | + | 32.5489i | 0.648777 | + | 1.12371i | 0.983415 | + | 0.181368i | \(0.0580524\pi\) |
−0.334639 | + | 0.942347i | \(0.608614\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 2.32218 | − | 4.02213i | 0.0800750 | − | 0.138694i | ||||
\(842\) | −2.51060 | − | 4.34848i | −0.0865208 | − | 0.149858i | ||||
\(843\) | 12.9979 | + | 15.8104i | 0.447670 | + | 0.544538i | ||||
\(844\) | 26.0705 | − | 45.1555i | 0.897385 | − | 1.55432i | ||||
\(845\) | 0.947675 | − | 1.64142i | 0.0326010 | − | 0.0564666i | ||||
\(846\) | 10.5637 | − | 3.60604i | 0.363188 | − | 0.123978i | ||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 9.40331 | + | 16.2870i | 0.322911 | + | 0.559298i | ||||
\(849\) | −27.0819 | + | 4.49503i | −0.929449 | + | 0.154269i | ||||
\(850\) | −64.1177 | −2.19922 | ||||||||
\(851\) | −43.2757 | −1.48347 | ||||||||
\(852\) | 4.84031 | − | 0.803389i | 0.165826 | − | 0.0275237i | ||||
\(853\) | −16.3849 | − | 28.3795i | −0.561009 | − | 0.971696i | −0.997409 | − | 0.0719434i | \(-0.977080\pi\) |
0.436400 | − | 0.899753i | \(-0.356253\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 2.87226 | − | 0.980479i | 0.0982291 | − | 0.0335317i | ||||
\(856\) | 1.55609 | − | 2.69523i | 0.0531861 | − | 0.0921211i | ||||
\(857\) | 13.7673 | − | 23.8457i | 0.470283 | − | 0.814554i | −0.529139 | − | 0.848535i | \(-0.677485\pi\) |
0.999422 | + | 0.0339808i | \(0.0108185\pi\) | |||||||
\(858\) | −0.751369 | − | 0.913952i | −0.0256513 | − | 0.0312018i | ||||
\(859\) | −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 | ||||
\(863\) | 2.44007 | − | 4.22633i | 0.0830610 | − | 0.143866i | −0.821502 | − | 0.570205i | \(-0.806864\pi\) |
0.904563 | + | 0.426339i | \(0.140197\pi\) | |||||||
\(864\) | −37.1480 | + | 19.9786i | −1.26380 | + | 0.679687i | ||||
\(865\) | −1.16345 | − | 2.01516i | −0.0395585 | − | 0.0685174i | ||||
\(866\) | −63.3629 | −2.15316 | ||||||||
\(867\) | −13.5909 | + | 36.2041i | −0.461572 | + | 1.22956i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −10.6463 | + | 18.4400i | −0.361152 | + | 0.625533i | ||||
\(870\) | −0.902261 | + | 2.40348i | −0.0305895 | + | 0.0814856i | ||||
\(871\) | 0.618346 | − | 1.07101i | 0.0209518 | − | 0.0362897i | ||||
\(872\) | 1.48738 | + | 2.57622i | 0.0503690 | + | 0.0872417i | ||||
\(873\) | 18.0040 | + | 15.7348i | 0.609345 | + | 0.532541i | ||||
\(874\) | −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 | \(-0.397533\pi\) | |||||||
\(878\) | −5.02777 | −0.169679 | ||||||||
\(879\) | −8.58070 | + | 22.8576i | −0.289420 | + | 0.770968i | ||||
\(880\) | −0.856086 | −0.0288587 | ||||||||
\(881\) | −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 | \(0.514316\pi\) | |||||||
\(884\) | 2.77966 | 0.0934902 | ||||||||
\(885\) | −0.735299 | − | 0.894404i | −0.0247168 | − | 0.0300651i | ||||
\(886\) | −54.0007 | −1.81419 | ||||||||
\(887\) | −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 | ||||||||
\(891\) | 2.00556 | + | 14.8415i | 0.0671889 | + | 0.497208i | ||||
\(892\) | −4.50259 | − | 7.79871i | −0.150758 | − | 0.261120i | ||||
\(893\) | −6.26655 | + | 10.8540i | −0.209702 | + | 0.363214i | ||||
\(894\) | −40.1345 | − | 48.8188i | −1.34230 | − | 1.63275i | ||||
\(895\) | 0.566944 | − | 0.981976i | 0.0189508 | − | 0.0328238i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −2.11140 | + | 0.350447i | −0.0704975 | + | 0.0117011i | ||||
\(898\) | −79.4920 | −2.65268 | ||||||||
\(899\) | −6.21284 | − | 10.7610i | −0.207210 | − | 0.358898i | ||||
\(900\) | 6.40577 | − | 32.4942i | 0.213526 | − | 1.08314i | ||||
\(901\) | −16.7631 | + | 29.0345i | −0.558459 | + | 0.967280i | ||||
\(902\) | −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 | ||||
\(906\) | −10.5835 | + | 28.1926i | −0.351612 | + | 0.936638i | ||||
\(907\) | 13.9491 | − | 24.1606i | 0.463173 | − | 0.802238i | −0.535944 | − | 0.844253i | \(-0.680044\pi\) |
0.999117 | + | 0.0420148i | \(0.0133777\pi\) | |||||||
\(908\) | −4.27177 | + | 7.39892i | −0.141764 | + | 0.245542i | ||||
\(909\) | 8.61250 | − | 43.6882i | 0.285659 | − | 1.44905i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −18.7381 | − | 32.4553i | −0.620820 | − | 1.07529i | −0.989333 | − | 0.145670i | \(-0.953466\pi\) |
0.368513 | − | 0.929623i | \(-0.379867\pi\) | |||||||
\(912\) | 14.8132 | − | 39.4600i | 0.490514 | − | 1.30665i | ||||
\(913\) | 12.5032 | 0.413794 | ||||||||
\(914\) | −18.8014 | −0.621894 | ||||||||
\(915\) | −0.109109 | − | 0.132718i | −0.00360703 | − | 0.00438753i | ||||
\(916\) | 14.5424 | + | 25.1881i | 0.480493 | + | 0.832239i | ||||
\(917\) | 0 | 0 | ||||||||
\(918\) | −56.9184 | − | 35.1921i | −1.87859 | − | 1.16151i | ||||
\(919\) | −15.1073 | + | 26.1667i | −0.498345 | + | 0.863160i | −0.999998 | − | 0.00190951i | \(-0.999392\pi\) |
0.501653 | + | 0.865069i | \(0.332726\pi\) | |||||||
\(920\) | 0.201870 | − | 0.349649i | 0.00665546 | − | 0.0115276i | ||||
\(921\) | −46.8033 | + | 7.76836i | −1.54222 | + | 0.255976i | ||||
\(922\) | −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 | ||||
\(926\) | −16.8611 | + | 29.2042i | −0.554089 | + | 0.959710i | ||||
\(927\) | −0.460698 | − | 0.402631i | −0.0151313 | − | 0.0132241i | ||||
\(928\) | 20.0304 | + | 34.6937i | 0.657531 | + | 1.13888i | ||||
\(929\) | 45.9351 | 1.50708 | 0.753540 | − | 0.657402i | \(-0.228344\pi\) | ||||
0.753540 | + | 0.657402i | \(0.228344\pi\) | |||||||
\(930\) | −0.831764 | − | 1.01174i | −0.0272746 | − | 0.0331763i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | −19.4053 | + | 33.6110i | −0.635642 | + | 1.10096i | ||||
\(933\) | 24.0166 | − | 3.98625i | 0.786269 | − | 0.130504i | ||||
\(934\) | −15.7850 | + | 27.3404i | −0.516500 | + | 0.894604i | ||||
\(935\) | −0.763064 | − | 1.32167i | −0.0249549 | − | 0.0432231i | ||||
\(936\) | −0.0517967 | + | 0.262746i | −0.00169303 | + | 0.00858813i | ||||
\(937\) | 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 | ||||
\(941\) | −49.4003 | −1.61040 | −0.805202 | − | 0.593000i | \(-0.797943\pi\) | ||||
−0.805202 | + | 0.593000i | \(0.797943\pi\) | |||||||
\(942\) | −19.9991 | + | 3.31943i | −0.651606 | + | 0.108153i | ||||
\(943\) | −14.3289 | −0.466613 | ||||||||
\(944\) | −16.0798 | −0.523353 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 6.43141 | 0.209103 | ||||||||
\(947\) | 31.6505 | 1.02850 | 0.514252 | − | 0.857639i | \(-0.328070\pi\) | ||||
0.514252 | + | 0.857639i | \(0.328070\pi\) | |||||||
\(948\) | 48.4820 | − | 8.04698i | 1.57462 | − | 0.261354i | ||||
\(949\) | −0.311271 | −0.0101043 | ||||||||
\(950\) | 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 | \(0.600242\pi\) | |||||||
\(954\) | −24.8006 | − | 21.6746i | −0.802949 | − | 0.701742i | ||||
\(955\) | 0.363249 | + | 0.629165i | 0.0117545 | + | 0.0203593i | ||||
\(956\) | 8.11273 | − | 14.0517i | 0.262384 | − | 0.454463i | ||||
\(957\) | 14.0321 | − | 2.32903i | 0.453594 | − | 0.0752870i | ||||
\(958\) | −38.9465 | + | 67.4573i | −1.25830 | + | 2.17945i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 1.54988 | + | 1.88524i | 0.0500221 | + | 0.0608459i | ||||
\(961\) | −24.6607 | −0.795507 | ||||||||
\(962\) | −1.43686 | − | 2.48871i | −0.0463262 | − | 0.0802394i | ||||
\(963\) | 4.04363 | − | 20.5119i | 0.130304 | − | 0.660987i | ||||
\(964\) | 6.90857 | − | 11.9660i | 0.222510 | − | 0.385399i | ||||
\(965\) | 1.08985 | + | 1.88768i | 0.0350836 | + | 0.0607666i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 4.98525 | − | 8.63470i | 0.160315 | − | 0.277673i | −0.774667 | − | 0.632370i | \(-0.782082\pi\) |
0.934982 | + | 0.354696i | \(0.115416\pi\) | |||||||
\(968\) | 1.83790 | + | 3.18334i | 0.0590724 | + | 0.102316i | ||||
\(969\) | 74.1237 | − | 12.3030i | 2.38120 | − | 0.395228i | ||||
\(970\) | 1.19688 | − | 2.07306i | 0.0384296 | − | 0.0665621i | ||||
\(971\) | −0.522554 | + | 0.905090i | −0.0167695 | + | 0.0290457i | −0.874288 | − | 0.485407i | \(-0.838671\pi\) |
0.857519 | + | 0.514453i | \(0.172005\pi\) | |||||||
\(972\) | 23.5215 | − | 25.3298i | 0.754453 | − | 0.812453i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | 4.72847 | + | 8.18994i | 0.151510 | + | 0.262423i | ||||
\(975\) | 1.09464 | + | 1.33150i | 0.0350566 | + | 0.0426422i | ||||
\(976\) | −2.38603 | −0.0763751 | ||||||||
\(977\) | −18.8862 | −0.604222 | −0.302111 | − | 0.953273i | \(-0.597691\pi\) | ||||
−0.302111 | + | 0.953273i | \(0.597691\pi\) | |||||||
\(978\) | −2.65692 | + | 7.07762i | −0.0849590 | + | 0.226317i | ||||
\(979\) | −7.54466 | − | 13.0677i | −0.241128 | − | 0.417647i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 15.0469 | + | 13.1503i | 0.480410 | + | 0.419858i | ||||
\(982\) | −31.1899 | + | 54.0224i | −0.995309 | + | 1.72393i | ||||
\(983\) | 1.14446 | − | 1.98226i | 0.0365025 | − | 0.0632242i | −0.847197 | − | 0.531279i | \(-0.821712\pi\) |
0.883700 | + | 0.468055i | \(0.155045\pi\) | |||||||
\(984\) | −0.630117 | + | 1.67853i | −0.0200874 | + | 0.0535096i | ||||
\(985\) | 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 | ||||
\(989\) | 5.81707 | − | 10.0755i | 0.184972 | − | 0.320381i | ||||
\(990\) | 1.41892 | − | 0.484366i | 0.0450963 | − | 0.0153942i | ||||
\(991\) | −9.53491 | − | 16.5150i | −0.302886 | − | 0.524615i | 0.673902 | − | 0.738821i | \(-0.264617\pi\) |
−0.976789 | + | 0.214206i | \(0.931284\pi\) | |||||||
\(992\) | −20.4381 | −0.648911 | ||||||||
\(993\) | 18.5343 | − | 3.07631i | 0.588170 | − | 0.0976237i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 1.45837 | − | 2.52598i | 0.0462336 | − | 0.0800789i | ||||
\(996\) | −18.3266 | − | 22.2922i | −0.580702 | − | 0.706355i | ||||
\(997\) | 18.5075 | − | 32.0560i | 0.586139 | − | 1.01522i | −0.408593 | − | 0.912717i | \(-0.633980\pi\) |
0.994732 | − | 0.102507i | \(-0.0326863\pi\) | |||||||
\(998\) | −9.51732 | − | 16.4845i | −0.301266 | − | 0.521807i | ||||
\(999\) | −1.09694 | + | 36.3589i | −0.0347057 | + | 1.15034i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))