Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [225,2,Mod(49,225)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(225, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("225.49");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 225 = 3^{2} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 225.k (of order \(6\), degree \(2\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.79663404548\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{12} - 16x^{8} - 24x^{7} + 96x^{5} + 304x^{4} + 384x^{3} + 288x^{2} + 144x + 36 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{6} \) |
Twist minimal: | no (minimal twist has level 45) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 124.5 | ||
Root | \(0.583700 + 2.17840i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 225.124 |
Dual form | 225.2.k.b.49.5 |
$q$-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 \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.80664 | + | 1.04307i | 1.27749 | + | 0.737558i | 0.976386 | − | 0.216033i | \(-0.0693120\pi\) |
0.301103 | + | 0.953592i | \(0.402645\pi\) | |||||||
\(3\) | 1.38276 | + | 1.04307i | 0.798335 | + | 0.602214i | ||||
\(4\) | 1.17597 | + | 2.03684i | 0.587985 | + | 1.01842i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 1.41016 | + | 3.32675i | 0.575696 | + | 1.35814i | ||||
\(7\) | −3.53869 | − | 2.04307i | −1.33750 | − | 0.772206i | −0.351064 | − | 0.936351i | \(-0.614180\pi\) |
−0.986436 | + | 0.164145i | \(0.947513\pi\) | |||||||
\(8\) | 0.734191i | 0.259576i | ||||||||
\(9\) | 0.824030 | + | 2.88461i | 0.274677 | + | 0.961537i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 0.675970 | − | 1.17081i | 0.203813 | − | 0.353014i | −0.745941 | − | 0.666012i | \(-0.768000\pi\) |
0.949754 | + | 0.312998i | \(0.101333\pi\) | |||||||
\(12\) | −0.498476 | + | 4.04307i | −0.143898 | + | 1.16713i | ||||
\(13\) | −0.561237 | + | 0.324030i | −0.155659 | + | 0.0898699i | −0.575806 | − | 0.817586i | \(-0.695312\pi\) |
0.420147 | + | 0.907456i | \(0.361978\pi\) | |||||||
\(14\) | −4.26210 | − | 7.38217i | −1.13909 | − | 1.97297i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 1.58613 | − | 2.74726i | 0.396533 | − | 0.686815i | ||||
\(17\) | − | 1.35194i | − | 0.327893i | −0.986469 | − | 0.163947i | \(-0.947577\pi\) | ||
0.986469 | − | 0.163947i | \(-0.0524225\pi\) | |||||||
\(18\) | −1.52011 | + | 6.07097i | −0.358293 | + | 1.43094i | ||||
\(19\) | −0.648061 | −0.148675 | −0.0743377 | − | 0.997233i | \(-0.523684\pi\) | ||||
−0.0743377 | + | 0.997233i | \(0.523684\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −2.76210 | − | 6.51615i | −0.602740 | − | 1.42194i | ||||
\(22\) | 2.44247 | − | 1.41016i | 0.520736 | − | 0.300647i | ||||
\(23\) | −4.14827 | + | 2.39500i | −0.864974 | + | 0.499393i | −0.865675 | − | 0.500607i | \(-0.833110\pi\) |
0.000700856 | 1.00000i | \(0.499777\pi\) | ||||||||
\(24\) | −0.765809 | + | 1.01521i | −0.156320 | + | 0.207228i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | −1.35194 | −0.265137 | ||||||||
\(27\) | −1.86940 | + | 4.84823i | −0.359767 | + | 0.933042i | ||||
\(28\) | − | 9.61033i | − | 1.81618i | ||||||
\(29\) | 1.93807 | − | 3.35683i | 0.359890 | − | 0.623349i | −0.628052 | − | 0.778172i | \(-0.716147\pi\) |
0.987942 | + | 0.154823i | \(0.0494807\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 3.84823 | + | 6.66533i | 0.691163 | + | 1.19713i | 0.971457 | + | 0.237215i | \(0.0762345\pi\) |
−0.280295 | + | 0.959914i | \(0.590432\pi\) | |||||||
\(32\) | 7.00279 | − | 4.04307i | 1.23793 | − | 0.714720i | ||||
\(33\) | 2.15594 | − | 0.913870i | 0.375300 | − | 0.159084i | ||||
\(34\) | 1.41016 | − | 2.44247i | 0.241841 | − | 0.418880i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −4.90645 | + | 5.07063i | −0.817742 | + | 0.845105i | ||||
\(37\) | 7.52420i | 1.23697i | 0.785796 | + | 0.618485i | \(0.212253\pi\) | ||||
−0.785796 | + | 0.618485i | \(0.787747\pi\) | |||||||
\(38\) | −1.17081 | − | 0.675970i | −0.189931 | − | 0.109657i | ||||
\(39\) | −1.11404 | − | 0.137352i | −0.178389 | − | 0.0219939i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 0.0898394 | + | 0.155606i | 0.0140306 | + | 0.0243016i | 0.872955 | − | 0.487800i | \(-0.162200\pi\) |
−0.858925 | + | 0.512102i | \(0.828867\pi\) | |||||||
\(42\) | 1.80664 | − | 14.6534i | 0.278771 | − | 2.26107i | ||||
\(43\) | −0.710419 | − | 0.410161i | −0.108338 | − | 0.0625489i | 0.444852 | − | 0.895604i | \(-0.353256\pi\) |
−0.553190 | + | 0.833055i | \(0.686590\pi\) | |||||||
\(44\) | 3.17968 | 0.479355 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −9.99258 | −1.47333 | ||||||||
\(47\) | −9.44526 | − | 5.45323i | −1.37773 | − | 0.795435i | −0.385847 | − | 0.922563i | \(-0.626091\pi\) |
−0.991886 | + | 0.127128i | \(0.959424\pi\) | |||||||
\(48\) | 5.05880 | − | 2.14435i | 0.730175 | − | 0.309510i | ||||
\(49\) | 4.84823 | + | 8.39738i | 0.692604 | + | 1.19963i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 1.41016 | − | 1.86940i | 0.197462 | − | 0.261769i | ||||
\(52\) | −1.32000 | − | 0.762100i | −0.183050 | − | 0.105684i | ||||
\(53\) | − | 4.17226i | − | 0.573104i | −0.958065 | − | 0.286552i | \(-0.907491\pi\) | ||
0.958065 | − | 0.286552i | \(-0.0925091\pi\) | |||||||
\(54\) | −8.43436 | + | 6.80911i | −1.14777 | + | 0.926602i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 1.50000 | − | 2.59808i | 0.200446 | − | 0.347183i | ||||
\(57\) | −0.896110 | − | 0.675970i | −0.118693 | − | 0.0895344i | ||||
\(58\) | 7.00279 | − | 4.04307i | 0.919512 | − | 0.530880i | ||||
\(59\) | 2.08613 | + | 3.61328i | 0.271591 | + | 0.470409i | 0.969269 | − | 0.246002i | \(-0.0791169\pi\) |
−0.697678 | + | 0.716411i | \(0.745784\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 1.91016 | − | 3.30850i | 0.244571 | − | 0.423609i | −0.717440 | − | 0.696620i | \(-0.754686\pi\) |
0.962011 | + | 0.273011i | \(0.0880195\pi\) | |||||||
\(62\) | 16.0558i | 2.03909i | ||||||||
\(63\) | 2.97746 | − | 11.8913i | 0.375124 | − | 1.49816i | ||||
\(64\) | 10.5242 | 1.31552 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 4.84823 | + | 0.597746i | 0.596776 | + | 0.0735775i | ||||
\(67\) | 7.05113 | − | 4.07097i | 0.861433 | − | 0.497349i | −0.00305885 | − | 0.999995i | \(-0.500974\pi\) |
0.864492 | + | 0.502647i | \(0.167640\pi\) | |||||||
\(68\) | 2.75368 | − | 1.58984i | 0.333933 | − | 0.192796i | ||||
\(69\) | −8.23419 | − | 1.01521i | −0.991280 | − | 0.122217i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −6.11644 | −0.725888 | −0.362944 | − | 0.931811i | \(-0.618228\pi\) | ||||
−0.362944 | + | 0.931811i | \(0.618228\pi\) | |||||||
\(72\) | −2.11785 | + | 0.604996i | −0.249592 | + | 0.0712994i | ||||
\(73\) | 12.3445i | 1.44482i | 0.691467 | + | 0.722408i | \(0.256965\pi\) | ||||
−0.691467 | + | 0.722408i | \(0.743035\pi\) | |||||||
\(74\) | −7.84823 | + | 13.5935i | −0.912338 | + | 1.58022i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −0.762100 | − | 1.32000i | −0.0874188 | − | 0.151414i | ||||
\(77\) | −4.78410 | + | 2.76210i | −0.545198 | + | 0.314770i | ||||
\(78\) | −1.86940 | − | 1.41016i | −0.211668 | − | 0.159669i | ||||
\(79\) | 5.17226 | − | 8.95862i | 0.581925 | − | 1.00792i | −0.413326 | − | 0.910583i | \(-0.635633\pi\) |
0.995251 | − | 0.0973403i | \(-0.0310335\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −7.64195 | + | 4.75401i | −0.849105 | + | 0.528224i | ||||
\(82\) | 0.374833i | 0.0413934i | ||||||||
\(83\) | −10.6161 | − | 6.12920i | −1.16527 | − | 0.672767i | −0.212706 | − | 0.977116i | \(-0.568228\pi\) |
−0.952560 | + | 0.304350i | \(0.901561\pi\) | |||||||
\(84\) | 10.0242 | − | 13.2887i | 1.09373 | − | 1.44992i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | −0.855648 | − | 1.48203i | −0.0922669 | − | 0.159811i | ||||
\(87\) | 6.18127 | − | 2.62015i | 0.662702 | − | 0.280910i | ||||
\(88\) | 0.859601 | + | 0.496291i | 0.0916338 | + | 0.0529048i | ||||
\(89\) | 3.00000 | 0.317999 | 0.159000 | − | 0.987279i | \(-0.449173\pi\) | ||||
0.159000 | + | 0.987279i | \(0.449173\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 2.64806 | 0.277592 | ||||||||
\(92\) | −9.75648 | − | 5.63290i | −1.01718 | − | 0.587271i | ||||
\(93\) | −1.63121 | + | 13.2305i | −0.169148 | + | 1.37194i | ||||
\(94\) | −11.3761 | − | 19.7041i | −1.17336 | − | 2.03232i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 13.9003 | + | 1.71380i | 1.41870 | + | 0.174914i | ||||
\(97\) | 11.7606 | + | 6.79001i | 1.19411 | + | 0.689421i | 0.959237 | − | 0.282605i | \(-0.0911984\pi\) |
0.234876 | + | 0.972025i | \(0.424532\pi\) | |||||||
\(98\) | 20.2281i | 2.04334i | ||||||||
\(99\) | 3.93436 | + | 0.985122i | 0.395418 | + | 0.0990085i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 0.734191 | − | 1.27166i | 0.0730547 | − | 0.126535i | −0.827184 | − | 0.561931i | \(-0.810059\pi\) |
0.900239 | + | 0.435397i | \(0.143392\pi\) | |||||||
\(102\) | 4.49756 | − | 1.90645i | 0.445325 | − | 0.188767i | ||||
\(103\) | −6.51615 | + | 3.76210i | −0.642055 | + | 0.370691i | −0.785406 | − | 0.618981i | \(-0.787546\pi\) |
0.143351 | + | 0.989672i | \(0.454212\pi\) | |||||||
\(104\) | −0.237900 | − | 0.412055i | −0.0233280 | − | 0.0404053i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 4.35194 | − | 7.53778i | 0.422698 | − | 0.732134i | ||||
\(107\) | 1.20999i | 0.116974i | 0.998288 | + | 0.0584871i | \(0.0186277\pi\) | ||||
−0.998288 | + | 0.0584871i | \(0.981372\pi\) | |||||||
\(108\) | −12.0734 | + | 1.89370i | −1.16177 | + | 0.182221i | ||||
\(109\) | −14.1042 | −1.35094 | −0.675469 | − | 0.737388i | \(-0.736059\pi\) | ||||
−0.675469 | + | 0.737388i | \(0.736059\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −7.84823 | + | 10.4041i | −0.744921 | + | 0.987517i | ||||
\(112\) | −11.2257 | + | 6.48113i | −1.06072 | + | 0.612410i | ||||
\(113\) | 10.3270 | − | 5.96227i | 0.971478 | − | 0.560883i | 0.0717915 | − | 0.997420i | \(-0.477128\pi\) |
0.899687 | + | 0.436537i | \(0.143795\pi\) | |||||||
\(114\) | −0.913870 | − | 2.15594i | −0.0855917 | − | 0.201922i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 9.11644 | 0.846440 | ||||||||
\(117\) | −1.39718 | − | 1.35194i | −0.129169 | − | 0.124987i | ||||
\(118\) | 8.70388i | 0.801257i | ||||||||
\(119\) | −2.76210 | + | 4.78410i | −0.253201 | + | 0.438557i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 4.58613 | + | 7.94341i | 0.416921 | + | 0.722128i | ||||
\(122\) | 6.90195 | − | 3.98484i | 0.624873 | − | 0.360771i | ||||
\(123\) | −0.0380816 | + | 0.308874i | −0.00343370 | + | 0.0278502i | ||||
\(124\) | −9.05080 | + | 15.6765i | −0.812786 | + | 1.40779i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 17.7826 | − | 18.3776i | 1.58420 | − | 1.63721i | ||||
\(127\) | − | 7.07871i | − | 0.628134i | −0.949401 | − | 0.314067i | \(-0.898308\pi\) | ||
0.949401 | − | 0.314067i | \(-0.101692\pi\) | |||||||
\(128\) | 5.00787 | + | 2.89130i | 0.442637 | + | 0.255557i | ||||
\(129\) | −0.554512 | − | 1.30817i | −0.0488221 | − | 0.115178i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 3.00000 | + | 5.19615i | 0.262111 | + | 0.453990i | 0.966803 | − | 0.255524i | \(-0.0822479\pi\) |
−0.704692 | + | 0.709514i | \(0.748915\pi\) | |||||||
\(132\) | 4.39672 | + | 3.31661i | 0.382685 | + | 0.288674i | ||||
\(133\) | 2.29329 | + | 1.32403i | 0.198853 | + | 0.114808i | ||||
\(134\) | 16.9852 | 1.46729 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0.992582 | 0.0851132 | ||||||||
\(137\) | 6.46781 | + | 3.73419i | 0.552582 | + | 0.319033i | 0.750163 | − | 0.661253i | \(-0.229975\pi\) |
−0.197581 | + | 0.980287i | \(0.563308\pi\) | |||||||
\(138\) | −13.8173 | − | 10.4229i | −1.17621 | − | 0.887257i | ||||
\(139\) | 4.00000 | + | 6.92820i | 0.339276 | + | 0.587643i | 0.984297 | − | 0.176522i | \(-0.0564848\pi\) |
−0.645021 | + | 0.764165i | \(0.723151\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −7.37243 | − | 17.3925i | −0.620871 | − | 1.46471i | ||||
\(142\) | −11.0502 | − | 6.37985i | −0.927314 | − | 0.535385i | ||||
\(143\) | 0.876139i | 0.0732664i | ||||||||
\(144\) | 9.23179 | + | 2.31154i | 0.769316 | + | 0.192629i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −12.8761 | + | 22.3021i | −1.06564 | + | 1.84574i | ||||
\(147\) | −2.05509 | + | 16.6686i | −0.169501 | + | 1.37480i | ||||
\(148\) | −15.3256 | + | 8.84823i | −1.25976 | + | 0.727320i | ||||
\(149\) | −5.29241 | − | 9.16673i | −0.433571 | − | 0.750968i | 0.563607 | − | 0.826043i | \(-0.309413\pi\) |
−0.997178 | + | 0.0750759i | \(0.976080\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −8.84823 | + | 15.3256i | −0.720059 | + | 1.24718i | 0.240917 | + | 0.970546i | \(0.422552\pi\) |
−0.960976 | + | 0.276633i | \(0.910781\pi\) | |||||||
\(152\) | − | 0.475800i | − | 0.0385925i | ||||||
\(153\) | 3.89982 | − | 1.11404i | 0.315282 | − | 0.0900647i | ||||
\(154\) | −11.5242 | −0.928646 | ||||||||
\(155\) | 0 | 0 | ||||||||
\(156\) | −1.03031 | − | 2.43064i | −0.0824910 | − | 0.194607i | ||||
\(157\) | −2.19245 | + | 1.26581i | −0.174976 | + | 0.101023i | −0.584930 | − | 0.811084i | \(-0.698878\pi\) |
0.409954 | + | 0.912106i | \(0.365545\pi\) | |||||||
\(158\) | 18.6888 | − | 10.7900i | 1.48680 | − | 0.858407i | ||||
\(159\) | 4.35194 | − | 5.76922i | 0.345131 | − | 0.457529i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 19.5726 | 1.54254 | ||||||||
\(162\) | −18.7650 | + | 0.617748i | −1.47432 | + | 0.0485349i | ||||
\(163\) | − | 8.47580i | − | 0.663876i | −0.943301 | − | 0.331938i | \(-0.892298\pi\) | ||
0.943301 | − | 0.331938i | \(-0.107702\pi\) | |||||||
\(164\) | −0.211297 | + | 0.365977i | −0.0164995 | + | 0.0285780i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −12.7863 | − | 22.1465i | −0.992409 | − | 1.71890i | ||||
\(167\) | 11.0281 | − | 6.36710i | 0.853383 | − | 0.492701i | −0.00840816 | − | 0.999965i | \(-0.502676\pi\) |
0.861791 | + | 0.507264i | \(0.169343\pi\) | |||||||
\(168\) | 4.78410 | − | 2.02791i | 0.369101 | − | 0.156457i | ||||
\(169\) | −6.29001 | + | 10.8946i | −0.483847 | + | 0.838047i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −0.534022 | − | 1.86940i | −0.0408377 | − | 0.142957i | ||||
\(172\) | − | 1.92935i | − | 0.147111i | ||||||
\(173\) | 19.9605 | + | 11.5242i | 1.51757 | + | 0.876169i | 0.999787 | + | 0.0206561i | \(0.00657550\pi\) |
0.517782 | + | 0.855513i | \(0.326758\pi\) | |||||||
\(174\) | 13.9003 | + | 1.71380i | 1.05378 | + | 0.129923i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −2.14435 | − | 3.71413i | −0.161637 | − | 0.279963i | ||||
\(177\) | −0.884280 | + | 7.17226i | −0.0664666 | + | 0.539100i | ||||
\(178\) | 5.41993 | + | 3.12920i | 0.406241 | + | 0.234543i | ||||
\(179\) | −2.22808 | −0.166534 | −0.0832672 | − | 0.996527i | \(-0.526535\pi\) | ||||
−0.0832672 | + | 0.996527i | \(0.526535\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 0.468382 | 0.0348146 | 0.0174073 | − | 0.999848i | \(-0.494459\pi\) | ||||
0.0174073 | + | 0.999848i | \(0.494459\pi\) | |||||||
\(182\) | 4.78410 | + | 2.76210i | 0.354621 | + | 0.204740i | ||||
\(183\) | 6.09226 | − | 2.58242i | 0.450353 | − | 0.190898i | ||||
\(184\) | −1.75839 | − | 3.04562i | −0.129630 | − | 0.224526i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | −16.7473 | + | 22.2013i | −1.22797 | + | 1.62788i | ||||
\(187\) | −1.58287 | − | 0.913870i | −0.115751 | − | 0.0668288i | ||||
\(188\) | − | 25.6513i | − | 1.87081i | ||||||
\(189\) | 16.5205 | − | 13.3371i | 1.20169 | − | 0.970130i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 10.1140 | − | 17.5180i | 0.731826 | − | 1.26756i | −0.224276 | − | 0.974526i | \(-0.572002\pi\) |
0.956102 | − | 0.293034i | \(-0.0946650\pi\) | |||||||
\(192\) | 14.5524 | + | 10.9774i | 1.05023 | + | 0.792227i | ||||
\(193\) | 17.2593 | − | 9.96467i | 1.24235 | − | 0.717273i | 0.272780 | − | 0.962076i | \(-0.412057\pi\) |
0.969573 | + | 0.244804i | \(0.0787235\pi\) | |||||||
\(194\) | 14.1648 | + | 24.5342i | 1.01698 | + | 1.76145i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −11.4027 | + | 19.7501i | −0.814482 | + | 1.41072i | ||||
\(197\) | − | 15.5800i | − | 1.11003i | −0.831840 | − | 0.555015i | \(-0.812712\pi\) | ||
0.831840 | − | 0.555015i | \(-0.187288\pi\) | |||||||
\(198\) | 6.08043 | + | 5.88356i | 0.432118 | + | 0.418126i | ||||
\(199\) | −3.58482 | −0.254121 | −0.127061 | − | 0.991895i | \(-0.540554\pi\) | ||||
−0.127061 | + | 0.991895i | \(0.540554\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 13.9963 | + | 1.72563i | 0.987222 | + | 0.121716i | ||||
\(202\) | 2.65284 | − | 1.53162i | 0.186653 | − | 0.107764i | ||||
\(203\) | −13.7165 | + | 7.91920i | −0.962707 | + | 0.555819i | ||||
\(204\) | 5.46598 | + | 0.673910i | 0.382695 | + | 0.0471831i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | −15.6965 | −1.09362 | ||||||||
\(207\) | −10.3270 | − | 9.99258i | −0.717773 | − | 0.694532i | ||||
\(208\) | 2.05582i | 0.142545i | ||||||||
\(209\) | −0.438069 | + | 0.758758i | −0.0303019 | + | 0.0524844i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −7.49629 | − | 12.9840i | −0.516066 | − | 0.893852i | −0.999826 | − | 0.0186518i | \(-0.994063\pi\) |
0.483760 | − | 0.875201i | \(-0.339271\pi\) | |||||||
\(212\) | 8.49822 | − | 4.90645i | 0.583660 | − | 0.336976i | ||||
\(213\) | −8.45755 | − | 6.37985i | −0.579502 | − | 0.437140i | ||||
\(214\) | −1.26210 | + | 2.18602i | −0.0862754 | + | 0.149433i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | −3.55953 | − | 1.37250i | −0.242195 | − | 0.0933867i | ||||
\(217\) | − | 31.4487i | − | 2.13488i | ||||||
\(218\) | −25.4813 | − | 14.7116i | −1.72581 | − | 0.996396i | ||||
\(219\) | −12.8761 | + | 17.0695i | −0.870089 | + | 1.15345i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 0.438069 | + | 0.758758i | 0.0294677 | + | 0.0510396i | ||||
\(222\) | −25.0311 | + | 10.6103i | −1.67998 | + | 0.712119i | ||||
\(223\) | −23.2363 | − | 13.4155i | −1.55602 | − | 0.898368i | −0.997631 | − | 0.0687878i | \(-0.978087\pi\) |
−0.558388 | − | 0.829580i | \(-0.688580\pi\) | |||||||
\(224\) | −33.0410 | −2.20764 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 24.8761 | 1.65474 | ||||||||
\(227\) | −1.17081 | − | 0.675970i | −0.0777096 | − | 0.0448657i | 0.460642 | − | 0.887586i | \(-0.347619\pi\) |
−0.538351 | + | 0.842721i | \(0.680953\pi\) | |||||||
\(228\) | 0.323043 | − | 2.62015i | 0.0213940 | − | 0.173524i | ||||
\(229\) | −4.11775 | − | 7.13215i | −0.272108 | − | 0.471306i | 0.697293 | − | 0.716786i | \(-0.254388\pi\) |
−0.969402 | + | 0.245480i | \(0.921054\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −9.49629 | − | 1.17081i | −0.624810 | − | 0.0770339i | ||||
\(232\) | 2.46456 | + | 1.42291i | 0.161806 | + | 0.0934188i | ||||
\(233\) | − | 8.58744i | − | 0.562582i | −0.959623 | − | 0.281291i | \(-0.909237\pi\) | ||
0.959623 | − | 0.281291i | \(-0.0907626\pi\) | |||||||
\(234\) | −1.11404 | − | 3.89982i | −0.0728270 | − | 0.254939i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | −4.90645 | + | 8.49822i | −0.319383 | + | 0.553187i | ||||
\(237\) | 16.4964 | − | 6.99258i | 1.07156 | − | 0.454217i | ||||
\(238\) | −9.98025 | + | 5.76210i | −0.646923 | + | 0.373501i | ||||
\(239\) | −11.9623 | − | 20.7193i | −0.773775 | − | 1.34022i | −0.935480 | − | 0.353378i | \(-0.885033\pi\) |
0.161706 | − | 0.986839i | \(-0.448300\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 3.12015 | − | 5.40426i | 0.200987 | − | 0.348119i | −0.747860 | − | 0.663857i | \(-0.768919\pi\) |
0.948847 | + | 0.315737i | \(0.102252\pi\) | |||||||
\(242\) | 19.1345i | 1.23001i | ||||||||
\(243\) | −15.5257 | − | 1.39741i | −0.995974 | − | 0.0896438i | ||||
\(244\) | 8.98516 | 0.575216 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −0.390976 | + | 0.518303i | −0.0249277 | + | 0.0330458i | ||||
\(247\) | 0.363716 | − | 0.209991i | 0.0231427 | − | 0.0133614i | ||||
\(248\) | −4.89363 | + | 2.82534i | −0.310746 | + | 0.179409i | ||||
\(249\) | −8.28630 | − | 19.5484i | −0.525123 | − | 1.23883i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −28.5726 | −1.80349 | −0.901743 | − | 0.432272i | \(-0.857712\pi\) | ||||
−0.901743 | + | 0.432272i | \(0.857712\pi\) | |||||||
\(252\) | 27.7221 | − | 7.91920i | 1.74633 | − | 0.498863i | ||||
\(253\) | 6.47580i | 0.407130i | ||||||||
\(254\) | 7.38356 | − | 12.7887i | 0.463286 | − | 0.802434i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −4.49258 | − | 7.78138i | −0.280786 | − | 0.486336i | ||||
\(257\) | −15.5885 | + | 9.00000i | −0.972381 | + | 0.561405i | −0.899961 | − | 0.435970i | \(-0.856405\pi\) |
−0.0724199 | + | 0.997374i | \(0.523072\pi\) | |||||||
\(258\) | 0.362697 | − | 2.94178i | 0.0225805 | − | 0.183147i | ||||
\(259\) | 15.3724 | − | 26.6258i | 0.955196 | − | 1.65445i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 11.2802 | + | 2.82444i | 0.698226 | + | 0.174828i | ||||
\(262\) | 12.5168i | 0.773289i | ||||||||
\(263\) | 27.5991 | + | 15.9344i | 1.70183 | + | 0.982555i | 0.943904 | + | 0.330220i | \(0.107123\pi\) |
0.757931 | + | 0.652335i | \(0.226211\pi\) | |||||||
\(264\) | 0.670955 | + | 1.58287i | 0.0412944 | + | 0.0974188i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 2.76210 | + | 4.78410i | 0.169355 | + | 0.293332i | ||||
\(267\) | 4.14827 | + | 3.12920i | 0.253870 | + | 0.191504i | ||||
\(268\) | 16.5838 | + | 9.57468i | 1.01302 | + | 0.584867i | ||||
\(269\) | 31.4971 | 1.92041 | 0.960207 | − | 0.279289i | \(-0.0900987\pi\) | ||||
0.960207 | + | 0.279289i | \(0.0900987\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −3.24030 | −0.196834 | −0.0984172 | − | 0.995145i | \(-0.531378\pi\) | ||||
−0.0984172 | + | 0.995145i | \(0.531378\pi\) | |||||||
\(272\) | −3.71413 | − | 2.14435i | −0.225202 | − | 0.130020i | ||||
\(273\) | 3.66162 | + | 2.76210i | 0.221612 | + | 0.167170i | ||||
\(274\) | 7.79001 | + | 13.4927i | 0.470612 | + | 0.815123i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −7.61534 | − | 17.9656i | −0.458390 | − | 1.08140i | ||||
\(277\) | 4.83660 | + | 2.79241i | 0.290603 | + | 0.167780i | 0.638214 | − | 0.769859i | \(-0.279674\pi\) |
−0.347611 | + | 0.937639i | \(0.613007\pi\) | |||||||
\(278\) | 16.6890i | 1.00094i | ||||||||
\(279\) | −16.0558 | + | 16.5931i | −0.961237 | + | 0.993402i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 12.0521 | − | 20.8749i | 0.718969 | − | 1.24529i | −0.242440 | − | 0.970166i | \(-0.577948\pi\) |
0.961409 | − | 0.275124i | \(-0.0887188\pi\) | |||||||
\(282\) | 4.82218 | − | 39.1120i | 0.287157 | − | 2.32908i | ||||
\(283\) | 9.12989 | − | 5.27114i | 0.542715 | − | 0.313337i | −0.203463 | − | 0.979083i | \(-0.565220\pi\) |
0.746179 | + | 0.665746i | \(0.231886\pi\) | |||||||
\(284\) | −7.19275 | − | 12.4582i | −0.426811 | − | 0.739259i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −0.913870 | + | 1.58287i | −0.0540383 | + | 0.0935970i | ||||
\(287\) | − | 0.734191i | − | 0.0433379i | ||||||
\(288\) | 17.4332 | + | 16.8687i | 1.02726 | + | 0.993999i | ||||
\(289\) | 15.1723 | 0.892486 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 9.17968 | + | 21.6560i | 0.538122 | + | 1.26950i | ||||
\(292\) | −25.1438 | + | 14.5168i | −1.47143 | + | 0.849530i | ||||
\(293\) | −16.4481 | + | 9.49629i | −0.960906 | + | 0.554779i | −0.896452 | − | 0.443141i | \(-0.853864\pi\) |
−0.0644541 | + | 0.997921i | \(0.520531\pi\) | |||||||
\(294\) | −21.0992 | + | 27.9705i | −1.23053 | + | 1.63127i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | −5.52420 | −0.321088 | ||||||||
\(297\) | 4.41271 | + | 5.46598i | 0.256052 | + | 0.317168i | ||||
\(298\) | − | 22.0813i | − | 1.27914i | ||||||
\(299\) | 1.55211 | − | 2.68833i | 0.0897607 | − | 0.155470i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 1.67597 | + | 2.90286i | 0.0966013 | + | 0.167318i | ||||
\(302\) | −31.9712 | + | 18.4586i | −1.83973 | + | 1.06217i | ||||
\(303\) | 2.34163 | − | 0.992582i | 0.134523 | − | 0.0570223i | ||||
\(304\) | −1.02791 | + | 1.78039i | −0.0589546 | + | 0.102112i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 8.20759 | + | 2.05509i | 0.469197 | + | 0.117482i | ||||
\(307\) | 29.4791i | 1.68246i | 0.540679 | + | 0.841229i | \(0.318167\pi\) | ||||
−0.540679 | + | 0.841229i | \(0.681833\pi\) | |||||||
\(308\) | −11.2519 | − | 6.49629i | −0.641137 | − | 0.370161i | ||||
\(309\) | −12.9344 | − | 1.59470i | −0.735810 | − | 0.0907193i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 4.70628 | + | 8.15152i | 0.266869 | + | 0.462230i | 0.968052 | − | 0.250751i | \(-0.0806776\pi\) |
−0.701183 | + | 0.712982i | \(0.747344\pi\) | |||||||
\(312\) | 0.100842 | − | 0.817917i | 0.00570908 | − | 0.0463055i | ||||
\(313\) | 10.0641 | + | 5.81050i | 0.568855 | + | 0.328429i | 0.756692 | − | 0.653771i | \(-0.226814\pi\) |
−0.187837 | + | 0.982200i | \(0.560148\pi\) | |||||||
\(314\) | −5.28128 | −0.298040 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 24.3297 | 1.36865 | ||||||||
\(317\) | 7.94984 | + | 4.58984i | 0.446507 | + | 0.257791i | 0.706354 | − | 0.707859i | \(-0.250339\pi\) |
−0.259847 | + | 0.965650i | \(0.583672\pi\) | |||||||
\(318\) | 13.8801 | − | 5.88356i | 0.778355 | − | 0.329934i | ||||
\(319\) | −2.62015 | − | 4.53824i | −0.146700 | − | 0.254092i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −1.26210 | + | 1.67312i | −0.0704435 | + | 0.0933846i | ||||
\(322\) | 35.3607 | + | 20.4155i | 1.97057 | + | 1.13771i | ||||
\(323\) | 0.876139i | 0.0487497i | ||||||||
\(324\) | −18.6699 | − | 9.97484i | −1.03721 | − | 0.554158i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 8.84081 | − | 15.3127i | 0.489647 | − | 0.848094i | ||||
\(327\) | −19.5027 | − | 14.7116i | −1.07850 | − | 0.813554i | ||||
\(328\) | −0.114245 | + | 0.0659593i | −0.00630812 | + | 0.00364199i | ||||
\(329\) | 22.2826 | + | 38.5946i | 1.22848 | + | 2.12779i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 3.61033 | − | 6.25327i | 0.198442 | − | 0.343711i | −0.749582 | − | 0.661912i | \(-0.769745\pi\) |
0.948023 | + | 0.318201i | \(0.103079\pi\) | |||||||
\(332\) | − | 28.8310i | − | 1.58231i | ||||||
\(333\) | −21.7044 | + | 6.20017i | −1.18939 | + | 0.339767i | ||||
\(334\) | 26.5652 | 1.45358 | ||||||||
\(335\) | 0 | 0 | ||||||||
\(336\) | −22.2826 | − | 2.74726i | −1.21561 | − | 0.149875i | ||||
\(337\) | 1.97791 | − | 1.14195i | 0.107744 | − | 0.0622059i | −0.445160 | − | 0.895451i | \(-0.646853\pi\) |
0.552904 | + | 0.833245i | \(0.313520\pi\) | |||||||
\(338\) | −22.7276 | + | 13.1218i | −1.23622 | + | 0.713731i | ||||
\(339\) | 20.4987 | + | 2.52732i | 1.11334 | + | 0.137265i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 10.4051 | 0.563470 | ||||||||
\(342\) | 0.985122 | − | 3.93436i | 0.0532693 | − | 0.212746i | ||||
\(343\) | − | 11.0181i | − | 0.594921i | ||||||
\(344\) | 0.301136 | − | 0.521583i | 0.0162362 | − | 0.0281219i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 24.0410 | + | 41.6402i | 1.29245 | + | 2.23859i | ||||
\(347\) | −0.613740 | + | 0.354343i | −0.0329473 | + | 0.0190221i | −0.516383 | − | 0.856358i | \(-0.672722\pi\) |
0.483436 | + | 0.875380i | \(0.339389\pi\) | |||||||
\(348\) | 12.6058 | + | 9.50904i | 0.675743 | + | 0.509738i | ||||
\(349\) | −10.6723 | + | 18.4849i | −0.571273 | + | 0.989474i | 0.425163 | + | 0.905117i | \(0.360217\pi\) |
−0.996436 | + | 0.0843569i | \(0.973116\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −0.521796 | − | 3.32675i | −0.0278514 | − | 0.177569i | ||||
\(352\) | − | 10.9320i | − | 0.582675i | ||||||
\(353\) | −8.74408 | − | 5.04840i | −0.465401 | − | 0.268699i | 0.248912 | − | 0.968526i | \(-0.419927\pi\) |
−0.714312 | + | 0.699827i | \(0.753260\pi\) | |||||||
\(354\) | −9.07871 | + | 12.0353i | −0.482528 | + | 0.639671i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 3.52791 | + | 6.11052i | 0.186979 | + | 0.323857i | ||||
\(357\) | −8.80944 | + | 3.73419i | −0.466245 | + | 0.197634i | ||||
\(358\) | −4.02534 | − | 2.32403i | −0.212746 | − | 0.122829i | ||||
\(359\) | −30.5578 | −1.61278 | −0.806388 | − | 0.591386i | \(-0.798581\pi\) | ||||
−0.806388 | + | 0.591386i | \(0.798581\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −18.5800 | −0.977896 | ||||||||
\(362\) | 0.846198 | + | 0.488553i | 0.0444752 | + | 0.0256778i | ||||
\(363\) | −1.94399 | + | 15.7674i | −0.102033 | + | 0.827576i | ||||
\(364\) | 3.11404 | + | 5.39367i | 0.163220 | + | 0.282705i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 13.7002 | + | 1.68912i | 0.716119 | + | 0.0882916i | ||||
\(367\) | 6.21778 | + | 3.58984i | 0.324566 | + | 0.187388i | 0.653426 | − | 0.756991i | \(-0.273331\pi\) |
−0.328860 | + | 0.944379i | \(0.606664\pi\) | |||||||
\(368\) | 15.1952i | 0.792102i | ||||||||
\(369\) | −0.374833 | + | 0.387376i | −0.0195130 | + | 0.0201660i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −8.52420 | + | 14.7643i | −0.442554 | + | 0.766527i | ||||
\(372\) | −28.8666 | + | 12.2361i | −1.49666 | + | 0.634414i | ||||
\(373\) | 18.9872 | − | 10.9623i | 0.983120 | − | 0.567605i | 0.0799096 | − | 0.996802i | \(-0.474537\pi\) |
0.903211 | + | 0.429197i | \(0.141204\pi\) | |||||||
\(374\) | −1.90645 | − | 3.30207i | −0.0985803 | − | 0.170746i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 4.00371 | − | 6.93463i | 0.206476 | − | 0.357626i | ||||
\(377\) | 2.51197i | 0.129373i | ||||||||
\(378\) | 43.7581 | − | 6.86339i | 2.25067 | − | 0.353014i | ||||
\(379\) | 17.3929 | 0.893414 | 0.446707 | − | 0.894680i | \(-0.352597\pi\) | ||||
0.446707 | + | 0.894680i | \(0.352597\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 7.38356 | − | 9.78813i | 0.378271 | − | 0.501461i | ||||
\(382\) | 36.5449 | − | 21.0992i | 1.86980 | − | 1.07953i | ||||
\(383\) | −0.412055 | + | 0.237900i | −0.0210550 | + | 0.0121561i | −0.510491 | − | 0.859883i | \(-0.670536\pi\) |
0.489436 | + | 0.872039i | \(0.337203\pi\) | |||||||
\(384\) | 3.90886 | + | 9.22149i | 0.199473 | + | 0.470582i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 41.5752 | 2.11612 | ||||||||
\(387\) | 0.597746 | − | 2.38727i | 0.0303852 | − | 0.121352i | ||||
\(388\) | 31.9394i | 1.62148i | ||||||||
\(389\) | −2.79372 | + | 4.83886i | −0.141647 | + | 0.245340i | −0.928117 | − | 0.372289i | \(-0.878573\pi\) |
0.786470 | + | 0.617629i | \(0.211906\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 3.23790 | + | 5.60821i | 0.163748 | + | 0.283619i | ||||
\(392\) | −6.16528 | + | 3.55953i | −0.311394 | + | 0.179783i | ||||
\(393\) | −1.27166 | + | 10.3142i | −0.0641466 | + | 0.520283i | ||||
\(394\) | 16.2510 | − | 28.1475i | 0.818712 | − | 1.41805i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 2.62015 | + | 9.17213i | 0.131668 | + | 0.460917i | ||||
\(397\) | 3.75228i | 0.188321i | 0.995557 | + | 0.0941607i | \(0.0300168\pi\) | ||||
−0.995557 | + | 0.0941607i | \(0.969983\pi\) | |||||||
\(398\) | −6.47649 | − | 3.73921i | −0.324637 | − | 0.187429i | ||||
\(399\) | 1.79001 | + | 4.22286i | 0.0896125 | + | 0.211407i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −11.7826 | − | 20.4080i | −0.588394 | − | 1.01913i | −0.994443 | − | 0.105278i | \(-0.966427\pi\) |
0.406048 | − | 0.913852i | \(-0.366906\pi\) | |||||||
\(402\) | 23.4863 | + | 17.7166i | 1.17139 | + | 0.883625i | ||||
\(403\) | −4.31954 | − | 2.49389i | −0.215172 | − | 0.124229i | ||||
\(404\) | 3.45355 | 0.171820 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −33.0410 | −1.63980 | ||||||||
\(407\) | 8.80944 | + | 5.08613i | 0.436668 | + | 0.252110i | ||||
\(408\) | 1.37250 | + | 1.03533i | 0.0679488 | + | 0.0512563i | ||||
\(409\) | 0.524200 | + | 0.907940i | 0.0259200 | + | 0.0448948i | 0.878694 | − | 0.477385i | \(-0.158415\pi\) |
−0.852774 | + | 0.522279i | \(0.825082\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 5.04840 | + | 11.9098i | 0.249019 | + | 0.587468i | ||||
\(412\) | −15.3256 | − | 8.84823i | −0.755037 | − | 0.435921i | ||||
\(413\) | − | 17.0484i | − | 0.838897i | ||||||
\(414\) | −8.23419 | − | 28.8247i | −0.404688 | − | 1.41666i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −2.62015 | + | 4.53824i | −0.128464 | + | 0.222505i | ||||
\(417\) | −1.69554 | + | 13.7523i | −0.0830310 | + | 0.673452i | ||||
\(418\) | −1.58287 | + | 0.913870i | −0.0774207 | + | 0.0446988i | ||||
\(419\) | −12.9599 | − | 22.4471i | −0.633131 | − | 1.09661i | −0.986908 | − | 0.161285i | \(-0.948436\pi\) |
0.353777 | − | 0.935330i | \(-0.384897\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −3.82032 | + | 6.61699i | −0.186191 | + | 0.322492i | −0.943977 | − | 0.330011i | \(-0.892948\pi\) |
0.757786 | + | 0.652503i | \(0.226281\pi\) | |||||||
\(422\) | − | 31.2765i | − | 1.52252i | ||||||
\(423\) | 7.94724 | − | 31.7395i | 0.386408 | − | 1.54323i | ||||
\(424\) | 3.06324 | 0.148764 | ||||||||
\(425\) | 0 | 0 | ||||||||
\(426\) | −8.62517 | − | 20.3479i | −0.417891 | − | 0.985858i | ||||
\(427\) | −13.5189 | + | 7.80516i | −0.654227 | + | 0.377718i | ||||
\(428\) | −2.46456 | + | 1.42291i | −0.119129 | + | 0.0687791i | ||||
\(429\) | −0.913870 | + | 1.21149i | −0.0441220 | + | 0.0584911i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 7.98516 | 0.384632 | 0.192316 | − | 0.981333i | \(-0.438400\pi\) | ||||
0.192316 | + | 0.981333i | \(0.438400\pi\) | |||||||
\(432\) | 10.3542 | + | 12.8257i | 0.498168 | + | 0.617075i | ||||
\(433\) | 12.5120i | 0.601287i | 0.953737 | + | 0.300644i | \(0.0972014\pi\) | ||||
−0.953737 | + | 0.300644i | \(0.902799\pi\) | |||||||
\(434\) | 32.8031 | − | 56.8166i | 1.57460 | − | 2.72728i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −16.5861 | − | 28.7280i | −0.794332 | − | 1.37582i | ||||
\(437\) | 2.68833 | − | 1.55211i | 0.128600 | − | 0.0742474i | ||||
\(438\) | −41.0671 | + | 17.4078i | −1.96226 | + | 0.831775i | ||||
\(439\) | −4.38225 | + | 7.59028i | −0.209153 | + | 0.362264i | −0.951448 | − | 0.307809i | \(-0.900404\pi\) |
0.742295 | + | 0.670074i | \(0.233737\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −20.2281 | + | 20.9049i | −0.963242 | + | 0.995474i | ||||
\(442\) | 1.82774i | 0.0869367i | ||||||||
\(443\) | 3.17914 | + | 1.83548i | 0.151046 | + | 0.0872062i | 0.573618 | − | 0.819123i | \(-0.305539\pi\) |
−0.422572 | + | 0.906329i | \(0.638873\pi\) | |||||||
\(444\) | −30.4208 | − | 3.75064i | −1.44371 | − | 0.177997i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −27.9865 | − | 48.4740i | −1.32520 | − | 2.29531i | ||||
\(447\) | 2.24338 | − | 18.1957i | 0.106108 | − | 0.860626i | ||||
\(448\) | −37.2419 | − | 21.5016i | −1.75951 | − | 1.01586i | ||||
\(449\) | −28.1723 | −1.32953 | −0.664766 | − | 0.747052i | \(-0.731469\pi\) | ||||
−0.664766 | + | 0.747052i | \(0.731469\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 0.242915 | 0.0114384 | ||||||||
\(452\) | 24.2884 | + | 14.0229i | 1.14243 | + | 0.659581i | ||||
\(453\) | −28.2205 | + | 11.9623i | −1.32592 | + | 0.562036i | ||||
\(454\) | −1.41016 | − | 2.44247i | −0.0661821 | − | 0.114631i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0.496291 | − | 0.657916i | 0.0232409 | − | 0.0308097i | ||||
\(457\) | −30.5375 | − | 17.6308i | −1.42848 | − | 0.824735i | −0.431482 | − | 0.902122i | \(-0.642009\pi\) |
−0.997001 | + | 0.0773867i | \(0.975342\pi\) | |||||||
\(458\) | − | 17.1803i | − | 0.802784i | ||||||
\(459\) | 6.55451 | + | 2.52732i | 0.305938 | + | 0.117965i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −17.3384 | + | 30.0310i | −0.807530 | + | 1.39868i | 0.107039 | + | 0.994255i | \(0.465863\pi\) |
−0.914570 | + | 0.404428i | \(0.867470\pi\) | |||||||
\(462\) | −15.9352 | − | 12.0205i | −0.741371 | − | 0.559244i | ||||
\(463\) | −6.45080 | + | 3.72437i | −0.299794 | + | 0.173086i | −0.642350 | − | 0.766411i | \(-0.722041\pi\) |
0.342556 | + | 0.939497i | \(0.388707\pi\) | |||||||
\(464\) | −6.14806 | − | 10.6488i | −0.285417 | − | 0.494356i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 8.95725 | − | 15.5144i | 0.414937 | − | 0.718692i | ||||
\(467\) | 29.9655i | 1.38664i | 0.720630 | + | 0.693319i | \(0.243852\pi\) | ||||
−0.720630 | + | 0.693319i | \(0.756148\pi\) | |||||||
\(468\) | 1.11064 | − | 4.43567i | 0.0513395 | − | 0.205039i | ||||
\(469\) | −33.2691 | −1.53622 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −4.35194 | − | 0.536558i | −0.200527 | − | 0.0247233i | ||||
\(472\) | −2.65284 | + | 1.53162i | −0.122107 | + | 0.0704984i | ||||
\(473\) | −0.960443 | + | 0.554512i | −0.0441612 | + | 0.0254965i | ||||
\(474\) | 37.0968 | + | 4.57373i | 1.70391 | + | 0.210078i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | −12.9926 | −0.595514 | ||||||||
\(477\) | 12.0353 | − | 3.43807i | 0.551061 | − | 0.157418i | ||||
\(478\) | − | 49.9097i | − | 2.28282i | ||||||
\(479\) | −3.99258 | + | 6.91535i | −0.182426 | + | 0.315971i | −0.942706 | − | 0.333625i | \(-0.891728\pi\) |
0.760280 | + | 0.649595i | \(0.225062\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −2.43807 | − | 4.22286i | −0.111166 | − | 0.192546i | ||||
\(482\) | 11.2740 | − | 6.50904i | 0.513516 | − | 0.296479i | ||||
\(483\) | 27.0641 | + | 20.4155i | 1.23146 | + | 0.928937i | ||||
\(484\) | −10.7863 | + | 18.6824i | −0.490286 | + | 0.849201i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | −26.5918 | − | 18.7189i | −1.20623 | − | 0.849108i | ||||
\(487\) | − | 11.9442i | − | 0.541243i | −0.962686 | − | 0.270621i | \(-0.912771\pi\) | ||
0.962686 | − | 0.270621i | \(-0.0872291\pi\) | |||||||
\(488\) | 2.42907 | + | 1.40242i | 0.109959 | + | 0.0634847i | ||||
\(489\) | 8.84081 | − | 11.7200i | 0.399795 | − | 0.529995i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 4.61033 | + | 7.98533i | 0.208061 | + | 0.360373i | 0.951104 | − | 0.308872i | \(-0.0999513\pi\) |
−0.743042 | + | 0.669244i | \(0.766618\pi\) | |||||||
\(492\) | −0.673910 | + | 0.285660i | −0.0303822 | + | 0.0128786i | ||||
\(493\) | −4.53824 | − | 2.62015i | −0.204392 | − | 0.118006i | ||||
\(494\) | 0.876139 | 0.0394193 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 24.4152 | 1.09627 | ||||||||
\(497\) | 21.6442 | + | 12.4963i | 0.970876 | + | 0.560535i | ||||
\(498\) | 5.41993 | − | 43.9602i | 0.242873 | − | 1.96990i | ||||
\(499\) | 15.0861 | + | 26.1299i | 0.675348 | + | 1.16974i | 0.976367 | + | 0.216119i | \(0.0693399\pi\) |
−0.301019 | + | 0.953618i | \(0.597327\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 21.8905 | + | 2.69892i | 0.977996 | + | 0.120579i | ||||
\(502\) | −51.6204 | − | 29.8031i | −2.30393 | − | 1.33018i | ||||
\(503\) | 10.5981i | 0.472546i | 0.971687 | + | 0.236273i | \(0.0759260\pi\) | ||||
−0.971687 | + | 0.236273i | \(0.924074\pi\) | |||||||
\(504\) | 8.73048 | + | 2.18602i | 0.388887 | + | 0.0973731i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | −6.75468 | + | 11.6995i | −0.300282 | + | 0.520104i | ||||
\(507\) | −20.0613 | + | 8.50371i | −0.890955 | + | 0.377663i | ||||
\(508\) | 14.4182 | − | 8.32435i | 0.639704 | − | 0.369333i | ||||
\(509\) | 14.3761 | + | 24.9002i | 0.637211 | + | 1.10368i | 0.986042 | + | 0.166496i | \(0.0532454\pi\) |
−0.348831 | + | 0.937186i | \(0.613421\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 25.2207 | − | 43.6835i | 1.11570 | − | 1.93244i | ||||
\(512\) | − | 30.3094i | − | 1.33950i | ||||||
\(513\) | 1.21149 | − | 3.14195i | 0.0534884 | − | 0.138720i | ||||
\(514\) | −37.5503 | −1.65627 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 2.01243 | − | 2.66781i | 0.0885924 | − | 0.117444i | ||||
\(517\) | −12.7694 | + | 7.37243i | −0.561599 | + | 0.324239i | ||||
\(518\) | 55.5449 | − | 32.0689i | 2.44050 | − | 1.40903i | ||||
\(519\) | 15.5800 | + | 36.7553i | 0.683887 | + | 1.61338i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −36.0942 | −1.58132 | −0.790658 | − | 0.612259i | \(-0.790261\pi\) | ||||
−0.790658 | + | 0.612259i | \(0.790261\pi\) | |||||||
\(522\) | 17.4332 | + | 16.8687i | 0.763030 | + | 0.738324i | ||||
\(523\) | − | 11.1297i | − | 0.486669i | −0.969942 | − | 0.243334i | \(-0.921759\pi\) | ||
0.969942 | − | 0.243334i | \(-0.0782412\pi\) | |||||||
\(524\) | −7.05582 | + | 12.2210i | −0.308235 | + | 0.533878i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 33.2411 | + | 57.5754i | 1.44938 | + | 2.51041i | ||||
\(527\) | 9.01112 | − | 5.20257i | 0.392531 | − | 0.226628i | ||||
\(528\) | 0.908959 | − | 7.37243i | 0.0395574 | − | 0.320844i | ||||
\(529\) | −0.0279088 | + | 0.0483395i | −0.00121343 | + | 0.00210172i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −8.70388 | + | 8.99513i | −0.377716 | + | 0.390355i | ||||
\(532\) | 6.22808i | 0.270021i | ||||||||
\(533\) | −0.100842 | − | 0.0582214i | −0.00436797 | − | 0.00252185i | ||||
\(534\) | 4.23048 | + | 9.98025i | 0.183071 | + | 0.431888i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 2.98887 | + | 5.17688i | 0.129100 | + | 0.223607i | ||||
\(537\) | −3.08089 | − | 2.32403i | −0.132950 | − | 0.100289i | ||||
\(538\) | 56.9040 | + | 32.8536i | 2.45331 | + | 1.41642i | ||||
\(539\) | 13.1090 | 0.564646 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −34.7374 | −1.49348 | −0.746740 | − | 0.665116i | \(-0.768382\pi\) | ||||
−0.746740 | + | 0.665116i | \(0.768382\pi\) | |||||||
\(542\) | −5.85407 | − | 3.37985i | −0.251454 | − | 0.145177i | ||||
\(543\) | 0.647658 | + | 0.488553i | 0.0277937 | + | 0.0209658i | ||||
\(544\) | −5.46598 | − | 9.46735i | −0.234352 | − | 0.405909i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 3.73419 | + | 8.80944i | 0.159809 | + | 0.377009i | ||||
\(547\) | 2.35087 | + | 1.35727i | 0.100516 | + | 0.0580328i | 0.549415 | − | 0.835549i | \(-0.314851\pi\) |
−0.448899 | + | 0.893582i | \(0.648184\pi\) | |||||||
\(548\) | 17.5652i | 0.750347i | ||||||||
\(549\) | 11.1177 | + | 2.78377i | 0.474494 | + | 0.118808i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −1.25599 | + | 2.17543i | −0.0535068 | + | 0.0926766i | ||||
\(552\) | 0.745356 | − | 6.04547i | 0.0317245 | − | 0.257312i | ||||
\(553\) | −36.6061 | + | 21.1345i | −1.55665 | + | 0.898732i | ||||
\(554\) | 5.82534 | + | 10.0898i | 0.247495 | + | 0.428674i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −9.40776 | + | 16.2947i | −0.398978 | + | 0.691050i | ||||
\(557\) | − | 8.93676i | − | 0.378663i | −0.981913 | − | 0.189331i | \(-0.939368\pi\) | ||
0.981913 | − | 0.189331i | \(-0.0606321\pi\) | |||||||
\(558\) | −46.3148 | + | 13.2305i | −1.96066 | + | 0.560091i | ||||
\(559\) | 0.531618 | 0.0224850 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −1.23550 | − | 2.91469i | −0.0521627 | − | 0.123059i | ||||
\(562\) | 43.5477 | − | 25.1423i | 1.83695 | − | 1.06056i | ||||
\(563\) | 8.10826 | − | 4.68130i | 0.341722 | − | 0.197293i | −0.319311 | − | 0.947650i | \(-0.603451\pi\) |
0.661033 | + | 0.750357i | \(0.270118\pi\) | |||||||
\(564\) | 26.7560 | − | 35.4695i | 1.12663 | − | 1.49354i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 21.9926 | 0.924417 | ||||||||
\(567\) | 36.7553 | − | 1.20999i | 1.54358 | − | 0.0508149i | ||||
\(568\) | − | 4.49064i | − | 0.188423i | ||||||
\(569\) | 17.9368 | − | 31.0674i | 0.751948 | − | 1.30241i | −0.194929 | − | 0.980817i | \(-0.562448\pi\) |
0.946877 | − | 0.321595i | \(-0.104219\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −10.0000 | − | 17.3205i | −0.418487 | − | 0.724841i | 0.577301 | − | 0.816532i | \(-0.304106\pi\) |
−0.995788 | + | 0.0916910i | \(0.970773\pi\) | |||||||
\(572\) | −1.78455 | + | 1.03031i | −0.0746159 | + | 0.0430795i | ||||
\(573\) | 32.2577 | − | 13.6736i | 1.34758 | − | 0.571221i | ||||
\(574\) | 0.765809 | − | 1.32642i | 0.0319643 | − | 0.0553637i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 8.67226 | + | 30.3582i | 0.361344 | + | 1.26493i | ||||
\(577\) | 1.35675i | 0.0564821i | 0.999601 | + | 0.0282411i | \(0.00899060\pi\) | ||||
−0.999601 | + | 0.0282411i | \(0.991009\pi\) | |||||||
\(578\) | 27.4108 | + | 15.8257i | 1.14014 | + | 0.658260i | ||||
\(579\) | 34.2592 | + | 4.22388i | 1.42377 | + | 0.175538i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 25.0447 | + | 43.3787i | 1.03903 | + | 1.79965i | ||||
\(582\) | −6.00427 | + | 48.6997i | −0.248885 | + | 2.01867i | ||||
\(583\) | −4.88494 | − | 2.82032i | −0.202314 | − | 0.116806i | ||||
\(584\) | −9.06324 | −0.375039 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −39.6210 | −1.63673 | ||||||||
\(587\) | −24.9329 | − | 14.3950i | −1.02909 | − | 0.594145i | −0.112366 | − | 0.993667i | \(-0.535843\pi\) |
−0.916724 | + | 0.399521i | \(0.869176\pi\) | |||||||
\(588\) | −36.3679 | + | 15.4158i | −1.49979 | + | 0.635737i | ||||
\(589\) | −2.49389 | − | 4.31954i | −0.102759 | − | 0.177984i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 16.2510 | − | 21.5434i | 0.668476 | − | 0.886176i | ||||
\(592\) | 20.6709 | + | 11.9344i | 0.849570 | + | 0.490499i | ||||
\(593\) | − | 30.9171i | − | 1.26961i | −0.772671 | − | 0.634807i | \(-0.781080\pi\) | ||
0.772671 | − | 0.634807i | \(-0.218920\pi\) | |||||||
\(594\) | 2.27082 | + | 14.4778i | 0.0931730 | + | 0.594032i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 12.4474 | − | 21.5596i | 0.509867 | − | 0.883115i | ||||
\(597\) | −4.95694 | − | 3.73921i | −0.202874 | − | 0.153035i | ||||
\(598\) | 5.60821 | − | 3.23790i | 0.229337 | − | 0.132408i | ||||
\(599\) | 0.696460 | + | 1.20630i | 0.0284566 | + | 0.0492882i | 0.879903 | − | 0.475153i | \(-0.157607\pi\) |
−0.851446 | + | 0.524442i | \(0.824274\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −4.41256 | + | 7.64279i | −0.179992 | + | 0.311756i | −0.941878 | − | 0.335956i | \(-0.890941\pi\) |
0.761885 | + | 0.647712i | \(0.224274\pi\) | |||||||
\(602\) | 6.99258i | 0.284996i | ||||||||
\(603\) | 17.5535 | + | 16.9852i | 0.714835 | + | 0.691689i | ||||
\(604\) | −41.6210 | −1.69353 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 5.26581 | + | 0.649230i | 0.213909 | + | 0.0263732i | ||||
\(607\) | −1.86783 | + | 1.07839i | −0.0758129 | + | 0.0437706i | −0.537427 | − | 0.843310i | \(-0.680604\pi\) |
0.461614 | + | 0.887081i | \(0.347270\pi\) | |||||||
\(608\) | −4.53824 | + | 2.62015i | −0.184050 | + | 0.106261i | ||||
\(609\) | −27.2268 | − | 3.35683i | −1.10328 | − | 0.136026i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 7.06804 | 0.285942 | ||||||||
\(612\) | 6.85518 | + | 6.63322i | 0.277104 | + | 0.268132i | ||||
\(613\) | 9.57521i | 0.386739i | 0.981126 | + | 0.193370i | \(0.0619416\pi\) | ||||
−0.981126 | + | 0.193370i | \(0.938058\pi\) | |||||||
\(614\) | −30.7486 | + | 53.2581i | −1.24091 | + | 2.14932i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −2.02791 | − | 3.51244i | −0.0817068 | − | 0.141520i | ||||
\(617\) | −32.6291 | + | 18.8384i | −1.31360 | + | 0.758406i | −0.982690 | − | 0.185258i | \(-0.940688\pi\) |
−0.330907 | + | 0.943663i | \(0.607355\pi\) | |||||||
\(618\) | −21.7044 | − | 16.3724i | −0.873078 | − | 0.658596i | ||||
\(619\) | 8.55211 | − | 14.8127i | 0.343738 | − | 0.595372i | −0.641385 | − | 0.767219i | \(-0.721640\pi\) |
0.985124 | + | 0.171847i | \(0.0549734\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −3.85675 | − | 24.5890i | −0.154766 | − | 0.986722i | ||||
\(622\) | 19.6358i | 0.787325i | ||||||||
\(623\) | −10.6161 | − | 6.12920i | −0.425324 | − | 0.245561i | ||||
\(624\) | −2.14435 | + | 2.84269i | −0.0858428 | + | 0.113799i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 12.1215 | + | 20.9950i | 0.484471 | + | 0.839128i | ||||
\(627\) | −1.39718 | + | 0.592243i | −0.0557979 | + | 0.0236519i | ||||
\(628\) | −5.15650 | − | 2.97711i | −0.205767 | − | 0.118799i | ||||
\(629\) | 10.1723 | 0.405595 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 33.1090 | 1.31805 | 0.659025 | − | 0.752121i | \(-0.270969\pi\) | ||||
0.659025 | + | 0.752121i | \(0.270969\pi\) | |||||||
\(632\) | 6.57734 | + | 3.79743i | 0.261632 | + | 0.151054i | ||||
\(633\) | 3.17757 | − | 25.7728i | 0.126297 | − | 1.02438i | ||||
\(634\) | 9.57500 | + | 16.5844i | 0.380272 | + | 0.658650i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 16.8687 | + | 2.07977i | 0.668888 | + | 0.0824684i | ||||
\(637\) | −5.44201 | − | 3.14195i | −0.215620 | − | 0.124489i | ||||
\(638\) | − | 10.9320i | − | 0.432800i | ||||||
\(639\) | −5.04013 | − | 17.6436i | −0.199385 | − | 0.697968i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 11.5763 | − | 20.0508i | 0.457237 | − | 0.791957i | −0.541577 | − | 0.840651i | \(-0.682173\pi\) |
0.998814 | + | 0.0486939i | \(0.0155059\pi\) | |||||||
\(642\) | −4.02534 | + | 1.70628i | −0.158867 | + | 0.0673416i | ||||
\(643\) | −37.2944 | + | 21.5319i | −1.47075 | + | 0.849137i | −0.999461 | − | 0.0328430i | \(-0.989544\pi\) |
−0.471287 | + | 0.881980i | \(0.656211\pi\) | |||||||
\(644\) | 23.0168 | + | 39.8662i | 0.906988 | + | 1.57095i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −0.913870 | + | 1.58287i | −0.0359557 | + | 0.0622771i | ||||
\(647\) | − | 20.6439i | − | 0.811595i | −0.913963 | − | 0.405798i | \(-0.866994\pi\) | ||
0.913963 | − | 0.405798i | \(-0.133006\pi\) | |||||||
\(648\) | −3.49035 | − | 5.61065i | −0.137114 | − | 0.220407i | ||||
\(649\) | 5.64064 | 0.221415 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 32.8031 | − | 43.4859i | 1.28565 | − | 1.70435i | ||||
\(652\) | 17.2638 | − | 9.96728i | 0.676104 | − | 0.390349i | ||||
\(653\) | −5.91942 | + | 3.41758i | −0.231645 | + | 0.133740i | −0.611331 | − | 0.791375i | \(-0.709365\pi\) |
0.379686 | + | 0.925116i | \(0.376032\pi\) | |||||||
\(654\) | −19.8892 | − | 46.9212i | −0.777730 | − | 1.83476i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 0.569988 | 0.0222543 | ||||||||
\(657\) | −35.6091 | + | 10.1723i | −1.38924 | + | 0.396858i | ||||
\(658\) | 92.9688i | 3.62430i | ||||||||
\(659\) | −13.4307 | + | 23.2626i | −0.523184 | + | 0.906181i | 0.476452 | + | 0.879200i | \(0.341923\pi\) |
−0.999636 | + | 0.0269806i | \(0.991411\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 1.06063 | + | 1.83706i | 0.0412535 | + | 0.0714532i | 0.885915 | − | 0.463848i | \(-0.153532\pi\) |
−0.844661 | + | 0.535301i | \(0.820198\pi\) | |||||||
\(662\) | 13.0451 | − | 7.53162i | 0.507014 | − | 0.292725i | ||||
\(663\) | −0.185691 | + | 1.50611i | −0.00721165 | + | 0.0584926i | ||||
\(664\) | 4.50000 | − | 7.79423i | 0.174634 | − | 0.302475i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −45.6792 | − | 11.4376i | −1.77003 | − | 0.443198i | ||||
\(667\) | 18.5667i | 0.718907i | ||||||||
\(668\) | 25.9375 | + | 14.9750i | 1.00355 | + | 0.579401i | ||||
\(669\) | −18.1369 | − | 42.7874i | −0.701214 | − | 1.65425i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −2.58242 | − | 4.47288i | −0.0996933 | − | 0.172674i | ||||
\(672\) | −45.6876 | − | 34.4639i | −1.76244 | − | 1.32947i | ||||
\(673\) | 30.1553 | + | 17.4102i | 1.16240 | + | 0.671112i | 0.951878 | − | 0.306477i | \(-0.0991501\pi\) |
0.210523 | + | 0.977589i | \(0.432483\pi\) | |||||||
\(674\) | 4.76450 | 0.183522 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −29.5874 | −1.13798 | ||||||||
\(677\) | 21.3772 | + | 12.3421i | 0.821592 | + | 0.474346i | 0.850965 | − | 0.525222i | \(-0.176018\pi\) |
−0.0293735 | + | 0.999569i | \(0.509351\pi\) | |||||||
\(678\) | 34.3976 | + | 25.9474i | 1.32103 | + | 0.996505i | ||||
\(679\) | −27.7449 | − | 48.0555i | −1.06475 | − | 1.84420i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −0.913870 | − | 2.15594i | −0.0350196 | − | 0.0826157i | ||||
\(682\) | 18.7984 | + | 10.8532i | 0.719827 | + | 0.415592i | ||||
\(683\) | 38.4610i | 1.47167i | 0.677162 | + | 0.735834i | \(0.263210\pi\) | ||||
−0.677162 | + | 0.735834i | \(0.736790\pi\) | |||||||
\(684\) | 3.17968 | − | 3.28608i | 0.121578 | − | 0.125646i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 11.4926 | − | 19.9057i | 0.438789 | − | 0.760005i | ||||
\(687\) | 1.74545 | − | 14.1571i | 0.0665932 | − | 0.540127i | ||||
\(688\) | −2.25363 | + | 1.30114i | −0.0859190 | + | 0.0496054i | ||||
\(689\) | 1.35194 | + | 2.34163i | 0.0515048 | + | 0.0892089i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −0.240304 | + | 0.416219i | −0.00914159 | + | 0.0158337i | −0.870560 | − | 0.492062i | \(-0.836243\pi\) |
0.861418 | + | 0.507896i | \(0.169577\pi\) | |||||||
\(692\) | 54.2084i | 2.06070i | ||||||||
\(693\) | −11.9098 | − | 11.5242i | −0.452417 | − | 0.437768i | ||||
\(694\) | −1.47841 | −0.0561197 | ||||||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 1.92369 | + | 4.53824i | 0.0729174 | + | 0.172021i | ||||
\(697\) | 0.210370 | − | 0.121457i | 0.00796835 | − | 0.00460053i | ||||
\(698\) | −38.5619 | + | 22.2637i | −1.45959 | + | 0.842694i | ||||
\(699\) | 8.95725 | − | 11.8743i | 0.338794 | − | 0.449128i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −18.1797 | −0.686637 | −0.343318 | − | 0.939219i | \(-0.611551\pi\) | ||||
−0.343318 | + | 0.939219i | \(0.611551\pi\) | |||||||
\(702\) | 2.52732 | − | 6.55451i | 0.0953875 | − | 0.247384i | ||||
\(703\) | − | 4.87614i | − | 0.183907i | ||||||
\(704\) | 7.11404 | − | 12.3219i | 0.268120 | − | 0.464398i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −10.5316 | − | 18.2413i | −0.396363 | − | 0.686520i | ||||
\(707\) | −5.19615 | + | 3.00000i | −0.195421 | + | 0.112827i | ||||
\(708\) | −15.6486 | + | 6.63322i | −0.588111 | + | 0.249292i | ||||
\(709\) | 3.59355 | − | 6.22421i | 0.134959 | − | 0.233755i | −0.790623 | − | 0.612303i | \(-0.790243\pi\) |
0.925582 | + | 0.378548i | \(0.123577\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 30.1042 | + | 7.53778i | 1.12900 | + | 0.282689i | ||||
\(712\) | 2.20257i | 0.0825449i | ||||||||
\(713\) | −31.9270 | − | 18.4331i | −1.19568 | − | 0.690323i | ||||
\(714\) | −19.8105 | − | 2.44247i | −0.741389 | − | 0.0914071i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −2.62015 | − | 4.53824i | −0.0979197 | − | 0.169602i | ||||
\(717\) | 5.07063 | − | 41.1271i | 0.189366 | − | 1.53592i | ||||
\(718\) | −55.2069 | − | 31.8737i | −2.06030 | − | 1.18952i | ||||
\(719\) | −12.5168 | −0.466797 | −0.233399 | − | 0.972381i | \(-0.574985\pi\) | ||||
−0.233399 | + | 0.972381i | \(0.574985\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 30.7449 | 1.14500 | ||||||||
\(722\) | −33.5674 | − | 19.3802i | −1.24925 | − | 0.721255i | ||||
\(723\) | 9.95141 | − | 4.21826i | 0.370097 | − | 0.156879i | ||||
\(724\) | 0.550803 | + | 0.954019i | 0.0204704 | + | 0.0354558i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | −19.9586 | + | 26.4584i | −0.740732 | + | 0.981963i | ||||
\(727\) | −7.29699 | − | 4.21292i | −0.270631 | − | 0.156249i | 0.358544 | − | 0.933513i | \(-0.383273\pi\) |
−0.629174 | + | 0.777264i | \(0.716607\pi\) | |||||||
\(728\) | 1.94418i | 0.0720562i | ||||||||
\(729\) | −20.0107 | − | 18.1266i | −0.741136 | − | 0.671355i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −0.554512 | + | 0.960443i | −0.0205094 | + | 0.0355233i | ||||
\(732\) | 12.4243 | + | 9.37211i | 0.459215 | + | 0.346403i | ||||
\(733\) | 19.0526 | − | 11.0000i | 0.703722 | − | 0.406294i | −0.105010 | − | 0.994471i | \(-0.533487\pi\) |
0.808732 | + | 0.588177i | \(0.200154\pi\) | |||||||
\(734\) | 7.48887 | + | 12.9711i | 0.276419 | + | 0.478772i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −19.3663 | + | 33.5434i | −0.713852 | + | 1.23643i | ||||
\(737\) | − | 11.0074i | − | 0.405463i | ||||||
\(738\) | −1.08125 | + | 0.308874i | −0.0398013 | + | 0.0113698i | ||||
\(739\) | 1.81290 | 0.0666887 | 0.0333444 | − | 0.999444i | \(-0.489384\pi\) | ||||
0.0333444 | + | 0.999444i | \(0.489384\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0.721965 | + | 0.0890123i | 0.0265220 | + | 0.00326995i | ||||
\(742\) | −30.8003 | + | 17.7826i | −1.13072 | + | 0.652819i | ||||
\(743\) | −17.4393 | + | 10.0686i | −0.639785 | + | 0.369380i | −0.784532 | − | 0.620089i | \(-0.787097\pi\) |
0.144747 | + | 0.989469i | \(0.453763\pi\) | |||||||
\(744\) | −9.71370 | − | 1.19762i | −0.356122 | − | 0.0439068i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 45.7374 | 1.67457 | ||||||||
\(747\) | 8.93237 | − | 35.6739i | 0.326818 | − | 1.30524i | ||||
\(748\) | − | 4.29873i | − | 0.157177i | ||||||
\(749\) | 2.47209 | − | 4.28179i | 0.0903282 | − | 0.156453i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −6.10662 | − | 10.5770i | −0.222834 | − | 0.385959i | 0.732834 | − | 0.680408i | \(-0.238197\pi\) |
−0.955667 | + | 0.294449i | \(0.904864\pi\) | |||||||
\(752\) | −29.9628 | + | 17.2991i | −1.09263 | + | 0.630832i | ||||
\(753\) | −39.5089 | − | 29.8031i | −1.43979 | − | 1.08608i | ||||
\(754\) | −2.62015 | + | 4.53824i | −0.0954203 | + | 0.165273i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 46.5931 | + | 17.9656i | 1.69457 | + | 0.653402i | ||||
\(757\) | 52.9533i | 1.92462i | 0.271955 | + | 0.962310i | \(0.412330\pi\) | ||||
−0.271955 | + | 0.962310i | \(0.587670\pi\) | |||||||
\(758\) | 31.4228 | + | 18.1419i | 1.14133 | + | 0.658945i | ||||
\(759\) | −6.75468 | + | 8.95445i | −0.245179 | + | 0.325026i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 9.22677 | + | 15.9812i | 0.334470 | + | 0.579319i | 0.983383 | − | 0.181543i | \(-0.0581093\pi\) |
−0.648913 | + | 0.760863i | \(0.724776\pi\) | |||||||
\(762\) | 23.5491 | − | 9.98212i | 0.853094 | − | 0.361614i | ||||
\(763\) | 49.9105 | + | 28.8158i | 1.80688 | + | 1.04320i | ||||
\(764\) | 47.5752 | 1.72121 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −0.992582 | −0.0358634 | ||||||||
\(767\) | −2.34163 | − | 1.35194i | −0.0845513 | − | 0.0488157i | ||||
\(768\) | 1.90434 | − | 15.4458i | 0.0687169 | − | 0.557353i | ||||
\(769\) | −2.22677 | − | 3.85688i | −0.0802995 | − | 0.139083i | 0.823079 | − | 0.567927i | \(-0.192254\pi\) |
−0.903379 | + | 0.428844i | \(0.858921\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −30.9426 | − | 3.81497i | −1.11437 | − | 0.137393i | ||||
\(772\) | 40.5929 | + | 23.4363i | 1.46097 | + | 0.843491i | ||||
\(773\) | − | 38.9368i | − | 1.40046i | −0.713918 | − | 0.700229i | \(-0.753081\pi\) | ||
0.713918 | − | 0.700229i | \(-0.246919\pi\) | |||||||
\(774\) | 3.56999 | − | 3.68945i | 0.128321 | − | 0.132614i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | −4.98516 | + | 8.63456i | −0.178957 |