Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [310,2,Mod(39,310)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(310, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("310.39");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 310 = 2 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 310.n (of order \(10\), degree \(4\), 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: | \(2.47536246266\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 109.13 | ||
Character | \(\chi\) | \(=\) | 310.109 |
Dual form | 310.2.n.a.219.13 |
$q$-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 \(\left(\mathbb{Z}/310\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(251\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.587785 | + | 0.809017i | 0.415627 | + | 0.572061i | ||||
\(3\) | 0.00820391 | − | 0.0112917i | 0.00473653 | − | 0.00651927i | −0.806642 | − | 0.591040i | \(-0.798717\pi\) |
0.811379 | + | 0.584521i | \(0.198717\pi\) | |||||||
\(4\) | −0.309017 | + | 0.951057i | −0.154508 | + | 0.475528i | ||||
\(5\) | 1.91563 | + | 1.15341i | 0.856697 | + | 0.515821i | ||||
\(6\) | 0.0139573 | 0.00569805 | ||||||||
\(7\) | −1.51995 | − | 0.493860i | −0.574485 | − | 0.186662i | 0.00734320 | − | 0.999973i | \(-0.497663\pi\) |
−0.581829 | + | 0.813311i | \(0.697663\pi\) | |||||||
\(8\) | −0.951057 | + | 0.309017i | −0.336249 | + | 0.109254i | ||||
\(9\) | 0.926991 | + | 2.85298i | 0.308997 | + | 0.950995i | ||||
\(10\) | 0.192852 | + | 2.22774i | 0.0609852 | + | 0.704472i | ||||
\(11\) | −0.445478 | + | 1.37104i | −0.134317 | + | 0.413384i | −0.995483 | − | 0.0949391i | \(-0.969734\pi\) |
0.861167 | + | 0.508323i | \(0.169734\pi\) | |||||||
\(12\) | 0.00820391 | + | 0.0112917i | 0.00236826 | + | 0.00325964i | ||||
\(13\) | −0.679815 | + | 0.935685i | −0.188547 | + | 0.259512i | −0.892817 | − | 0.450420i | \(-0.851274\pi\) |
0.704270 | + | 0.709932i | \(0.251274\pi\) | |||||||
\(14\) | −0.493860 | − | 1.51995i | −0.131990 | − | 0.406223i | ||||
\(15\) | 0.0287396 | − | 0.0121683i | 0.00742054 | − | 0.00314184i | ||||
\(16\) | −0.809017 | − | 0.587785i | −0.202254 | − | 0.146946i | ||||
\(17\) | 4.69574 | − | 1.52574i | 1.13888 | − | 0.370046i | 0.321939 | − | 0.946761i | \(-0.395666\pi\) |
0.816946 | + | 0.576715i | \(0.195666\pi\) | |||||||
\(18\) | −1.76324 | + | 2.42689i | −0.415600 | + | 0.572024i | ||||
\(19\) | 6.47369 | − | 4.70341i | 1.48517 | − | 1.07904i | 0.509319 | − | 0.860578i | \(-0.329897\pi\) |
0.975846 | − | 0.218459i | \(-0.0701028\pi\) | |||||||
\(20\) | −1.68892 | + | 1.46545i | −0.377654 | + | 0.327685i | ||||
\(21\) | −0.0180460 | + | 0.0131112i | −0.00393796 | + | 0.00286110i | ||||
\(22\) | −1.37104 | + | 0.445478i | −0.292306 | + | 0.0949761i | ||||
\(23\) | −8.04627 | + | 2.61439i | −1.67776 | + | 0.545138i | −0.984475 | − | 0.175523i | \(-0.943838\pi\) |
−0.693287 | + | 0.720661i | \(0.743838\pi\) | |||||||
\(24\) | −0.00431305 | + | 0.0132742i | −0.000880398 | + | 0.00270959i | ||||
\(25\) | 2.33929 | + | 4.41902i | 0.467858 | + | 0.883803i | ||||
\(26\) | −1.15657 | −0.226822 | ||||||||
\(27\) | 0.0796426 | + | 0.0258775i | 0.0153272 | + | 0.00498012i | ||||
\(28\) | 0.939378 | − | 1.29294i | 0.177526 | − | 0.244343i | ||||
\(29\) | −6.75195 | + | 4.90558i | −1.25381 | + | 0.910943i | −0.998436 | − | 0.0559006i | \(-0.982197\pi\) |
−0.255369 | + | 0.966844i | \(0.582197\pi\) | |||||||
\(30\) | 0.0267371 | + | 0.0160985i | 0.00488150 | + | 0.00293917i | ||||
\(31\) | −0.639045 | − | 5.53097i | −0.114776 | − | 0.993391i | ||||
\(32\) | − | 1.00000i | − | 0.176777i | ||||||
\(33\) | 0.0118267 | + | 0.0162781i | 0.00205877 | + | 0.00283365i | ||||
\(34\) | 3.99444 | + | 2.90213i | 0.685040 | + | 0.497711i | ||||
\(35\) | −2.34203 | − | 2.69917i | −0.395876 | − | 0.456244i | ||||
\(36\) | −2.99981 | −0.499968 | ||||||||
\(37\) | − | 5.84154i | − | 0.960344i | −0.877174 | − | 0.480172i | \(-0.840574\pi\) | ||
0.877174 | − | 0.480172i | \(-0.159426\pi\) | |||||||
\(38\) | 7.61028 | + | 2.47273i | 1.23455 | + | 0.401130i | ||||
\(39\) | 0.00498834 | + | 0.0153525i | 0.000798774 | + | 0.00245837i | ||||
\(40\) | −2.17830 | − | 0.504995i | −0.344419 | − | 0.0798467i | ||||
\(41\) | 7.00420 | − | 5.08885i | 1.09387 | − | 0.794744i | 0.113823 | − | 0.993501i | \(-0.463690\pi\) |
0.980049 | + | 0.198757i | \(0.0636903\pi\) | |||||||
\(42\) | −0.0212144 | − | 0.00689297i | −0.00327345 | − | 0.00106361i | ||||
\(43\) | 2.55162 | + | 3.51200i | 0.389118 | + | 0.535575i | 0.957971 | − | 0.286864i | \(-0.0926128\pi\) |
−0.568853 | + | 0.822439i | \(0.692613\pi\) | |||||||
\(44\) | −1.16628 | − | 0.847349i | −0.175823 | − | 0.127743i | ||||
\(45\) | −1.51489 | + | 6.53447i | −0.225826 | + | 0.974101i | ||||
\(46\) | −6.84456 | − | 4.97287i | −1.00918 | − | 0.733209i | ||||
\(47\) | 4.85011 | − | 6.67560i | 0.707461 | − | 0.973736i | −0.292387 | − | 0.956300i | \(-0.594450\pi\) |
0.999848 | − | 0.0174361i | \(-0.00555037\pi\) | |||||||
\(48\) | −0.0132742 | + | 0.00431305i | −0.00191597 | + | 0.000622535i | ||||
\(49\) | −3.59678 | − | 2.61322i | −0.513826 | − | 0.373316i | ||||
\(50\) | −2.20006 | + | 4.48996i | −0.311135 | + | 0.634976i | ||||
\(51\) | 0.0212952 | − | 0.0655400i | 0.00298193 | − | 0.00917743i | ||||
\(52\) | −0.679815 | − | 0.935685i | −0.0942733 | − | 0.129756i | ||||
\(53\) | 12.8307 | − | 4.16896i | 1.76244 | − | 0.572651i | 0.764990 | − | 0.644042i | \(-0.222744\pi\) |
0.997448 | + | 0.0713914i | \(0.0227439\pi\) | |||||||
\(54\) | 0.0258775 | + | 0.0796426i | 0.00352148 | + | 0.0108380i | ||||
\(55\) | −2.43474 | + | 2.11259i | −0.328300 | + | 0.284861i | ||||
\(56\) | 1.59817 | 0.213564 | ||||||||
\(57\) | − | 0.111685i | − | 0.0147931i | ||||||
\(58\) | −7.93739 | − | 2.57902i | −1.04223 | − | 0.338641i | ||||
\(59\) | −5.06197 | − | 3.67774i | −0.659013 | − | 0.478801i | 0.207317 | − | 0.978274i | \(-0.433527\pi\) |
−0.866329 | + | 0.499473i | \(0.833527\pi\) | |||||||
\(60\) | 0.00269170 | + | 0.0310932i | 0.000347497 | + | 0.00401412i | ||||
\(61\) | −2.87018 | −0.367489 | −0.183744 | − | 0.982974i | \(-0.558822\pi\) | ||||
−0.183744 | + | 0.982974i | \(0.558822\pi\) | |||||||
\(62\) | 4.09903 | − | 3.76802i | 0.520577 | − | 0.478539i | ||||
\(63\) | − | 4.79418i | − | 0.604010i | ||||||
\(64\) | 0.809017 | − | 0.587785i | 0.101127 | − | 0.0734732i | ||||
\(65\) | −2.38150 | + | 1.00832i | −0.295389 | + | 0.125067i | ||||
\(66\) | −0.00621767 | + | 0.0191360i | −0.000765343 | + | 0.00235548i | ||||
\(67\) | − | 13.2637i | − | 1.62042i | −0.586140 | − | 0.810210i | \(-0.699353\pi\) | ||
0.586140 | − | 0.810210i | \(-0.300647\pi\) | |||||||
\(68\) | 4.93739i | 0.598747i | ||||||||
\(69\) | −0.0364899 | + | 0.112304i | −0.00439287 | + | 0.0135199i | ||||
\(70\) | 0.807066 | − | 3.48128i | 0.0964628 | − | 0.416092i | ||||
\(71\) | −1.59343 | − | 4.90406i | −0.189105 | − | 0.582005i | 0.810890 | − | 0.585199i | \(-0.198983\pi\) |
−0.999995 | + | 0.00319370i | \(0.998983\pi\) | |||||||
\(72\) | −1.76324 | − | 2.42689i | −0.207800 | − | 0.286012i | ||||
\(73\) | −13.2347 | − | 4.30021i | −1.54900 | − | 0.503301i | −0.595159 | − | 0.803608i | \(-0.702911\pi\) |
−0.953843 | + | 0.300307i | \(0.902911\pi\) | |||||||
\(74\) | 4.72591 | − | 3.43357i | 0.549376 | − | 0.399145i | ||||
\(75\) | 0.0690896 | + | 0.00983861i | 0.00797778 | + | 0.00113606i | ||||
\(76\) | 2.47273 | + | 7.61028i | 0.283641 | + | 0.872959i | ||||
\(77\) | 1.35420 | − | 1.86390i | 0.154326 | − | 0.212411i | ||||
\(78\) | −0.00948839 | + | 0.0130597i | −0.00107435 | + | 0.00147871i | ||||
\(79\) | 2.87558 | + | 8.85014i | 0.323528 | + | 0.995718i | 0.972100 | + | 0.234565i | \(0.0753665\pi\) |
−0.648572 | + | 0.761153i | \(0.724633\pi\) | |||||||
\(80\) | −0.871822 | − | 2.05911i | −0.0974726 | − | 0.230215i | ||||
\(81\) | −7.27973 | + | 5.28904i | −0.808859 | + | 0.587671i | ||||
\(82\) | 8.23393 | + | 2.67537i | 0.909285 | + | 0.295445i | ||||
\(83\) | 4.82271 | + | 6.63789i | 0.529361 | + | 0.728603i | 0.987033 | − | 0.160518i | \(-0.0513166\pi\) |
−0.457672 | + | 0.889121i | \(0.651317\pi\) | |||||||
\(84\) | −0.00689297 | − | 0.0212144i | −0.000752084 | − | 0.00231468i | ||||
\(85\) | 10.7551 | + | 2.49336i | 1.16656 | + | 0.270443i | ||||
\(86\) | −1.34146 | + | 4.12860i | −0.144654 | + | 0.445199i | ||||
\(87\) | 0.116486i | 0.0124886i | ||||||||
\(88\) | − | 1.44160i | − | 0.153675i | ||||||
\(89\) | −2.41371 | + | 7.42865i | −0.255853 | + | 0.787435i | 0.737807 | + | 0.675011i | \(0.235861\pi\) |
−0.993660 | + | 0.112423i | \(0.964139\pi\) | |||||||
\(90\) | −6.17692 | + | 2.61529i | −0.651105 | + | 0.275676i | ||||
\(91\) | 1.49538 | − | 1.08646i | 0.156758 | − | 0.113892i | ||||
\(92\) | − | 8.46035i | − | 0.882052i | ||||||
\(93\) | −0.0676968 | − | 0.0381597i | −0.00701983 | − | 0.00395697i | ||||
\(94\) | 8.25149 | 0.851077 | ||||||||
\(95\) | 17.8262 | − | 1.54319i | 1.82893 | − | 0.158328i | ||||
\(96\) | −0.0112917 | − | 0.00820391i | −0.00115246 | − | 0.000837308i | ||||
\(97\) | 3.07681 | + | 0.999716i | 0.312403 | + | 0.101506i | 0.461022 | − | 0.887389i | \(-0.347483\pi\) |
−0.148619 | + | 0.988894i | \(0.547483\pi\) | |||||||
\(98\) | − | 4.44587i | − | 0.449100i | ||||||
\(99\) | −4.32451 | −0.434629 | ||||||||
\(100\) | −4.92562 | + | 0.859247i | −0.492562 | + | 0.0859247i | ||||
\(101\) | 0.102865 | + | 0.316587i | 0.0102355 | + | 0.0315016i | 0.956044 | − | 0.293224i | \(-0.0947281\pi\) |
−0.945808 | + | 0.324725i | \(0.894728\pi\) | |||||||
\(102\) | 0.0655400 | − | 0.0212952i | 0.00648942 | − | 0.00210854i | ||||
\(103\) | 2.43250 | + | 3.34805i | 0.239682 | + | 0.329894i | 0.911864 | − | 0.410492i | \(-0.134643\pi\) |
−0.672183 | + | 0.740385i | \(0.734643\pi\) | |||||||
\(104\) | 0.357400 | − | 1.09996i | 0.0350459 | − | 0.107860i | ||||
\(105\) | −0.0496921 | + | 0.00430178i | −0.00484945 | + | 0.000419811i | ||||
\(106\) | 10.9145 | + | 7.92984i | 1.06011 | + | 0.770214i | ||||
\(107\) | 1.78023 | − | 0.578430i | 0.172101 | − | 0.0559190i | −0.221699 | − | 0.975115i | \(-0.571160\pi\) |
0.393800 | + | 0.919196i | \(0.371160\pi\) | |||||||
\(108\) | −0.0492219 | + | 0.0677481i | −0.00473637 | + | 0.00651906i | ||||
\(109\) | −9.81380 | − | 7.13014i | −0.939991 | − | 0.682944i | 0.00842741 | − | 0.999964i | \(-0.497317\pi\) |
−0.948419 | + | 0.317021i | \(0.897317\pi\) | |||||||
\(110\) | −3.14022 | − | 0.727999i | −0.299409 | − | 0.0694120i | ||||
\(111\) | −0.0659610 | − | 0.0479235i | −0.00626074 | − | 0.00454870i | ||||
\(112\) | 0.939378 | + | 1.29294i | 0.0887629 | + | 0.122172i | ||||
\(113\) | 9.60980 | + | 3.12241i | 0.904014 | + | 0.293732i | 0.723893 | − | 0.689912i | \(-0.242351\pi\) |
0.180121 | + | 0.983644i | \(0.442351\pi\) | |||||||
\(114\) | 0.0903553 | − | 0.0656470i | 0.00846255 | − | 0.00614840i | ||||
\(115\) | −18.4292 | − | 4.27243i | −1.71853 | − | 0.398406i | ||||
\(116\) | −2.57902 | − | 7.93739i | −0.239456 | − | 0.736968i | ||||
\(117\) | −3.29968 | − | 1.07213i | −0.305055 | − | 0.0991184i | ||||
\(118\) | − | 6.25694i | − | 0.575998i | ||||||
\(119\) | −7.89077 | −0.723346 | ||||||||
\(120\) | −0.0235728 | + | 0.0204538i | −0.00215189 | + | 0.00186717i | ||||
\(121\) | 7.21789 | + | 5.24410i | 0.656172 | + | 0.476737i | ||||
\(122\) | −1.68705 | − | 2.32202i | −0.152738 | − | 0.210226i | ||||
\(123\) | − | 0.120838i | − | 0.0108956i | ||||||
\(124\) | 5.45774 | + | 1.10140i | 0.490120 | + | 0.0989083i | ||||
\(125\) | −0.615717 | + | 11.1634i | −0.0550714 | + | 0.998482i | ||||
\(126\) | 3.87858 | − | 2.81795i | 0.345531 | − | 0.251043i | ||||
\(127\) | −7.36809 | + | 10.1413i | −0.653813 | + | 0.899896i | −0.999257 | − | 0.0385434i | \(-0.987728\pi\) |
0.345444 | + | 0.938439i | \(0.387728\pi\) | |||||||
\(128\) | 0.951057 | + | 0.309017i | 0.0840623 | + | 0.0273135i | ||||
\(129\) | 0.0605897 | 0.00533463 | ||||||||
\(130\) | −2.21556 | − | 1.33400i | −0.194318 | − | 0.116999i | ||||
\(131\) | −2.02626 | + | 6.23619i | −0.177035 | + | 0.544858i | −0.999721 | − | 0.0236388i | \(-0.992475\pi\) |
0.822685 | + | 0.568497i | \(0.192475\pi\) | |||||||
\(132\) | −0.0191360 | + | 0.00621767i | −0.00166558 | + | 0.000541179i | ||||
\(133\) | −12.1625 | + | 3.95183i | −1.05462 | + | 0.342667i | ||||
\(134\) | 10.7306 | − | 7.79621i | 0.926980 | − | 0.673490i | ||||
\(135\) | 0.122719 | + | 0.141432i | 0.0105619 | + | 0.0121726i | ||||
\(136\) | −3.99444 | + | 2.90213i | −0.342520 | + | 0.248855i | ||||
\(137\) | 1.03103 | − | 1.41909i | 0.0880868 | − | 0.121241i | −0.762699 | − | 0.646753i | \(-0.776126\pi\) |
0.850786 | + | 0.525512i | \(0.176126\pi\) | |||||||
\(138\) | −0.112304 | + | 0.0364899i | −0.00955998 | + | 0.00310623i | ||||
\(139\) | −10.7420 | − | 7.80454i | −0.911126 | − | 0.661972i | 0.0301731 | − | 0.999545i | \(-0.490394\pi\) |
−0.941299 | + | 0.337573i | \(0.890394\pi\) | |||||||
\(140\) | 3.29080 | − | 1.39331i | 0.278123 | − | 0.117757i | ||||
\(141\) | −0.0355891 | − | 0.109532i | −0.00299714 | − | 0.00922426i | ||||
\(142\) | 3.03088 | − | 4.17164i | 0.254345 | − | 0.350076i | ||||
\(143\) | −0.980018 | − | 1.34888i | −0.0819532 | − | 0.112799i | ||||
\(144\) | 0.926991 | − | 2.85298i | 0.0772492 | − | 0.237749i | ||||
\(145\) | −18.5924 | + | 1.60952i | −1.54401 | + | 0.133663i | ||||
\(146\) | −4.30021 | − | 13.2347i | −0.355888 | − | 1.09531i | ||||
\(147\) | −0.0590153 | + | 0.0191752i | −0.00486750 | + | 0.00158155i | ||||
\(148\) | 5.55564 | + | 1.80514i | 0.456671 | + | 0.148381i | ||||
\(149\) | 1.49376 | 0.122373 | 0.0611866 | − | 0.998126i | \(-0.480512\pi\) | ||||
0.0611866 | + | 0.998126i | \(0.480512\pi\) | |||||||
\(150\) | 0.0326502 | + | 0.0616777i | 0.00266588 | + | 0.00503596i | ||||
\(151\) | −2.01343 | + | 6.19669i | −0.163850 | + | 0.504280i | −0.998950 | − | 0.0458195i | \(-0.985410\pi\) |
0.835099 | + | 0.550099i | \(0.185410\pi\) | |||||||
\(152\) | −4.70341 | + | 6.47369i | −0.381497 | + | 0.525085i | ||||
\(153\) | 8.70582 | + | 11.9825i | 0.703824 | + | 0.968730i | ||||
\(154\) | 2.30391 | 0.185654 | ||||||||
\(155\) | 5.15530 | − | 11.3324i | 0.414084 | − | 0.910239i | ||||
\(156\) | −0.0161426 | −0.00129244 | ||||||||
\(157\) | 7.87755 | + | 10.8425i | 0.628697 | + | 0.865327i | 0.997950 | − | 0.0640019i | \(-0.0203864\pi\) |
−0.369253 | + | 0.929329i | \(0.620386\pi\) | |||||||
\(158\) | −5.46968 | + | 7.52838i | −0.435145 | + | 0.598925i | ||||
\(159\) | 0.0581875 | − | 0.179083i | 0.00461457 | − | 0.0142022i | ||||
\(160\) | 1.15341 | − | 1.91563i | 0.0911851 | − | 0.151444i | ||||
\(161\) | 13.5210 | 1.06561 | ||||||||
\(162\) | −8.55784 | − | 2.78061i | −0.672368 | − | 0.218465i | ||||
\(163\) | −19.6396 | + | 6.38130i | −1.53830 | + | 0.499822i | −0.950905 | − | 0.309482i | \(-0.899844\pi\) |
−0.587390 | + | 0.809304i | \(0.699844\pi\) | |||||||
\(164\) | 2.67537 | + | 8.23393i | 0.208911 | + | 0.642962i | ||||
\(165\) | 0.00388034 | + | 0.0448239i | 0.000302084 | + | 0.00348953i | ||||
\(166\) | −2.53545 | + | 7.80330i | −0.196789 | + | 0.605654i | ||||
\(167\) | 2.68813 | + | 3.69990i | 0.208014 | + | 0.286307i | 0.900258 | − | 0.435357i | \(-0.143378\pi\) |
−0.692244 | + | 0.721663i | \(0.743378\pi\) | |||||||
\(168\) | 0.0131112 | − | 0.0180460i | 0.00101155 | − | 0.00139228i | ||||
\(169\) | 3.60386 | + | 11.0916i | 0.277220 | + | 0.853196i | ||||
\(170\) | 4.30453 | + | 10.1666i | 0.330142 | + | 0.779745i | ||||
\(171\) | 19.4198 | + | 14.1093i | 1.48507 | + | 1.07897i | ||||
\(172\) | −4.12860 | + | 1.34146i | −0.314803 | + | 0.102286i | ||||
\(173\) | −6.78119 | + | 9.33351i | −0.515564 | + | 0.709613i | −0.984845 | − | 0.173435i | \(-0.944513\pi\) |
0.469281 | + | 0.883049i | \(0.344513\pi\) | |||||||
\(174\) | −0.0942391 | + | 0.0684687i | −0.00714425 | + | 0.00519060i | ||||
\(175\) | −1.37322 | − | 7.87195i | −0.103806 | − | 0.595063i | ||||
\(176\) | 1.16628 | − | 0.847349i | 0.0879113 | − | 0.0638713i | ||||
\(177\) | −0.0830559 | + | 0.0269865i | −0.00624287 | + | 0.00202843i | ||||
\(178\) | −7.42865 | + | 2.41371i | −0.556801 | + | 0.180915i | ||||
\(179\) | 2.29637 | − | 7.06751i | 0.171639 | − | 0.528250i | −0.827825 | − | 0.560986i | \(-0.810422\pi\) |
0.999464 | + | 0.0327359i | \(0.0104220\pi\) | |||||||
\(180\) | −5.74652 | − | 3.46000i | −0.428321 | − | 0.257894i | ||||
\(181\) | −6.67997 | −0.496519 | −0.248259 | − | 0.968694i | \(-0.579858\pi\) | ||||
−0.248259 | + | 0.968694i | \(0.579858\pi\) | |||||||
\(182\) | 1.75792 | + | 0.571184i | 0.130306 | + | 0.0423390i | ||||
\(183\) | −0.0235467 | + | 0.0324092i | −0.00174062 | + | 0.00239576i | ||||
\(184\) | 6.84456 | − | 4.97287i | 0.504588 | − | 0.366605i | ||||
\(185\) | 6.73770 | − | 11.1902i | 0.495365 | − | 0.822724i | ||||
\(186\) | −0.00891935 | − | 0.0771975i | −0.000653999 | − | 0.00566040i | ||||
\(187\) | 7.11772i | 0.520500i | ||||||||
\(188\) | 4.85011 | + | 6.67560i | 0.353730 | + | 0.486868i | ||||
\(189\) | −0.108273 | − | 0.0786647i | −0.00787567 | − | 0.00572201i | ||||
\(190\) | 11.7264 | + | 13.5146i | 0.850724 | + | 0.980452i | ||||
\(191\) | −2.84401 | −0.205785 | −0.102893 | − | 0.994692i | \(-0.532810\pi\) | ||||
−0.102893 | + | 0.994692i | \(0.532810\pi\) | |||||||
\(192\) | − | 0.0139573i | − | 0.00100728i | ||||||
\(193\) | 1.13746 | + | 0.369582i | 0.0818759 | + | 0.0266031i | 0.349669 | − | 0.936873i | \(-0.386294\pi\) |
−0.267793 | + | 0.963477i | \(0.586294\pi\) | |||||||
\(194\) | 0.999716 | + | 3.07681i | 0.0717754 | + | 0.220902i | ||||
\(195\) | −0.00815194 | + | 0.0351634i | −0.000583773 | + | 0.00251811i | ||||
\(196\) | 3.59678 | − | 2.61322i | 0.256913 | − | 0.186658i | ||||
\(197\) | −5.61184 | − | 1.82340i | −0.399827 | − | 0.129912i | 0.102199 | − | 0.994764i | \(-0.467412\pi\) |
−0.502027 | + | 0.864852i | \(0.667412\pi\) | |||||||
\(198\) | −2.54188 | − | 3.49860i | −0.180644 | − | 0.248635i | ||||
\(199\) | −9.22558 | − | 6.70278i | −0.653984 | − | 0.475147i | 0.210642 | − | 0.977563i | \(-0.432445\pi\) |
−0.864626 | + | 0.502416i | \(0.832445\pi\) | |||||||
\(200\) | −3.59035 | − | 3.47985i | −0.253876 | − | 0.246063i | ||||
\(201\) | −0.149770 | − | 0.108814i | −0.0105640 | − | 0.00767517i | ||||
\(202\) | −0.195662 | + | 0.269305i | −0.0137667 | + | 0.0189482i | ||||
\(203\) | 12.6853 | − | 4.12169i | 0.890331 | − | 0.289286i | ||||
\(204\) | 0.0557516 | + | 0.0405059i | 0.00390339 | + | 0.00283598i | ||||
\(205\) | 19.2870 | − | 1.66965i | 1.34706 | − | 0.116613i | ||||
\(206\) | −1.27884 | + | 3.93587i | −0.0891012 | + | 0.274225i | ||||
\(207\) | −14.9176 | − | 20.5324i | −1.03685 | − | 1.42710i | ||||
\(208\) | 1.09996 | − | 0.357400i | 0.0762687 | − | 0.0247812i | ||||
\(209\) | 3.56467 | + | 10.9709i | 0.246574 | + | 0.758876i | ||||
\(210\) | −0.0326885 | − | 0.0376733i | −0.00225572 | − | 0.00259970i | ||||
\(211\) | −8.31022 | −0.572099 | −0.286050 | − | 0.958215i | \(-0.592342\pi\) | ||||
−0.286050 | + | 0.958215i | \(0.592342\pi\) | |||||||
\(212\) | 13.4910i | 0.926569i | ||||||||
\(213\) | −0.0684475 | − | 0.0222400i | −0.00468995 | − | 0.00152386i | ||||
\(214\) | 1.51435 | + | 1.10024i | 0.103519 | + | 0.0752109i | ||||
\(215\) | 0.837184 | + | 9.67076i | 0.0570955 | + | 0.659540i | ||||
\(216\) | −0.0837412 | −0.00569787 | ||||||||
\(217\) | −1.76021 | + | 8.72237i | −0.119491 | + | 0.592113i | ||||
\(218\) | − | 12.1305i | − | 0.821582i | ||||||
\(219\) | −0.157133 | + | 0.114164i | −0.0106180 | + | 0.00771446i | ||||
\(220\) | −1.25681 | − | 2.96840i | −0.0847344 | − | 0.200130i | ||||
\(221\) | −1.76462 | + | 5.43095i | −0.118701 | + | 0.365325i | ||||
\(222\) | − | 0.0815323i | − | 0.00547209i | ||||||
\(223\) | − | 19.7329i | − | 1.32141i | −0.750645 | − | 0.660705i | \(-0.770257\pi\) | ||
0.750645 | − | 0.660705i | \(-0.229743\pi\) | |||||||
\(224\) | −0.493860 | + | 1.51995i | −0.0329974 | + | 0.101556i | ||||
\(225\) | −10.4389 | + | 10.7704i | −0.695926 | + | 0.718023i | ||||
\(226\) | 3.12241 | + | 9.60980i | 0.207700 | + | 0.639235i | ||||
\(227\) | 8.69916 | + | 11.9734i | 0.577383 | + | 0.794700i | 0.993405 | − | 0.114654i | \(-0.0365761\pi\) |
−0.416022 | + | 0.909355i | \(0.636576\pi\) | |||||||
\(228\) | 0.106219 | + | 0.0345127i | 0.00703453 | + | 0.00228566i | ||||
\(229\) | −0.721043 | + | 0.523868i | −0.0476478 | + | 0.0346182i | −0.611354 | − | 0.791357i | \(-0.709375\pi\) |
0.563706 | + | 0.825975i | \(0.309375\pi\) | |||||||
\(230\) | −7.37591 | − | 17.4208i | −0.486353 | − | 1.14869i | ||||
\(231\) | −0.00993687 | − | 0.0305825i | −0.000653798 | − | 0.00201218i | ||||
\(232\) | 4.90558 | − | 6.75195i | 0.322067 | − | 0.443287i | ||||
\(233\) | 12.5874 | − | 17.3251i | 0.824628 | − | 1.13500i | −0.164271 | − | 0.986415i | \(-0.552527\pi\) |
0.988899 | − | 0.148588i | \(-0.0474728\pi\) | |||||||
\(234\) | −1.07213 | − | 3.29968i | −0.0700873 | − | 0.215707i | ||||
\(235\) | 16.9907 | − | 7.19383i | 1.10835 | − | 0.469274i | ||||
\(236\) | 5.06197 | − | 3.67774i | 0.329506 | − | 0.239400i | ||||
\(237\) | 0.123524 | + | 0.0401354i | 0.00802376 | + | 0.00260708i | ||||
\(238\) | −4.63808 | − | 6.38377i | −0.300642 | − | 0.413798i | ||||
\(239\) | −2.15745 | − | 6.63993i | −0.139554 | − | 0.429502i | 0.856717 | − | 0.515787i | \(-0.172500\pi\) |
−0.996270 | + | 0.0862852i | \(0.972500\pi\) | |||||||
\(240\) | −0.0304032 | − | 0.00704838i | −0.00196252 | − | 0.000454971i | ||||
\(241\) | 5.50593 | − | 16.9455i | 0.354668 | − | 1.09156i | −0.601534 | − | 0.798847i | \(-0.705443\pi\) |
0.956202 | − | 0.292708i | \(-0.0945565\pi\) | |||||||
\(242\) | 8.92180i | 0.573515i | ||||||||
\(243\) | 0.376815i | 0.0241727i | ||||||||
\(244\) | 0.886934 | − | 2.72970i | 0.0567802 | − | 0.174751i | ||||
\(245\) | −3.87600 | − | 9.15452i | −0.247629 | − | 0.584861i | ||||
\(246\) | 0.0977598 | − | 0.0710267i | 0.00623294 | − | 0.00452850i | ||||
\(247\) | 9.25478i | 0.588867i | ||||||||
\(248\) | 2.31693 | + | 5.06279i | 0.147125 | + | 0.321487i | ||||
\(249\) | 0.114518 | 0.00725729 | ||||||||
\(250\) | −9.39327 | + | 6.06354i | −0.594082 | + | 0.383492i | ||||
\(251\) | 13.5345 | + | 9.83336i | 0.854287 | + | 0.620676i | 0.926325 | − | 0.376726i | \(-0.122950\pi\) |
−0.0720375 | + | 0.997402i | \(0.522950\pi\) | |||||||
\(252\) | 4.55954 | + | 1.48148i | 0.287224 | + | 0.0933248i | ||||
\(253\) | − | 12.1964i | − | 0.766781i | ||||||
\(254\) | −12.5353 | −0.786538 | ||||||||
\(255\) | 0.116388 | − | 0.100988i | 0.00728852 | − | 0.00632413i | ||||
\(256\) | 0.309017 | + | 0.951057i | 0.0193136 | + | 0.0594410i | ||||
\(257\) | 17.6524 | − | 5.73562i | 1.10113 | − | 0.357778i | 0.298592 | − | 0.954381i | \(-0.403483\pi\) |
0.802537 | + | 0.596603i | \(0.203483\pi\) | |||||||
\(258\) | 0.0356137 | + | 0.0490181i | 0.00221721 | + | 0.00305173i | ||||
\(259\) | −2.88491 | + | 8.87883i | −0.179259 | + | 0.551704i | ||||
\(260\) | −0.223047 | − | 2.57653i | −0.0138328 | − | 0.159790i | ||||
\(261\) | −20.2545 | − | 14.7158i | −1.25372 | − | 0.910884i | ||||
\(262\) | −6.23619 | + | 2.02626i | −0.385273 | + | 0.125183i | ||||
\(263\) | −2.41074 | + | 3.31810i | −0.148653 | + | 0.204603i | −0.876849 | − | 0.480766i | \(-0.840359\pi\) |
0.728197 | + | 0.685368i | \(0.240359\pi\) | |||||||
\(264\) | −0.0162781 | − | 0.0118267i | −0.00100185 | − | 0.000727884i | ||||
\(265\) | 29.3875 | + | 6.81291i | 1.80526 | + | 0.418514i | ||||
\(266\) | −10.3460 | − | 7.51683i | −0.634355 | − | 0.460886i | ||||
\(267\) | 0.0640802 | + | 0.0881989i | 0.00392165 | + | 0.00539768i | ||||
\(268\) | 12.6145 | + | 4.09871i | 0.770556 | + | 0.250369i | ||||
\(269\) | −14.8147 | + | 10.7635i | −0.903269 | + | 0.656263i | −0.939304 | − | 0.343087i | \(-0.888527\pi\) |
0.0360345 | + | 0.999351i | \(0.488527\pi\) | |||||||
\(270\) | −0.0422889 | + | 0.182413i | −0.00257362 | + | 0.0111013i | ||||
\(271\) | −0.896693 | − | 2.75974i | −0.0544702 | − | 0.167642i | 0.920120 | − | 0.391635i | \(-0.128091\pi\) |
−0.974591 | + | 0.223993i | \(0.928091\pi\) | |||||||
\(272\) | −4.69574 | − | 1.52574i | −0.284721 | − | 0.0925115i | ||||
\(273\) | − | 0.0257986i | − | 0.00156140i | ||||||
\(274\) | 1.75409 | 0.105969 | ||||||||
\(275\) | −7.10075 | + | 1.23869i | −0.428191 | + | 0.0746956i | ||||
\(276\) | −0.0955318 | − | 0.0694079i | −0.00575034 | − | 0.00417787i | ||||
\(277\) | 3.93264 | + | 5.41282i | 0.236290 | + | 0.325225i | 0.910651 | − | 0.413177i | \(-0.135581\pi\) |
−0.674361 | + | 0.738402i | \(0.735581\pi\) | |||||||
\(278\) | − | 13.2779i | − | 0.796354i | ||||||
\(279\) | 15.1874 | − | 6.95034i | 0.909245 | − | 0.416106i | ||||
\(280\) | 3.06150 | + | 1.84334i | 0.182959 | + | 0.110161i | ||||
\(281\) | −1.79883 | + | 1.30692i | −0.107309 | + | 0.0779645i | −0.640146 | − | 0.768254i | \(-0.721126\pi\) |
0.532837 | + | 0.846218i | \(0.321126\pi\) | |||||||
\(282\) | 0.0676945 | − | 0.0931735i | 0.00403115 | − | 0.00554840i | ||||
\(283\) | −21.8869 | − | 7.11149i | −1.30104 | − | 0.422734i | −0.425098 | − | 0.905147i | \(-0.639761\pi\) |
−0.875944 | + | 0.482413i | \(0.839761\pi\) | |||||||
\(284\) | 5.15643 | 0.305978 | ||||||||
\(285\) | 0.128819 | − | 0.213948i | 0.00763058 | − | 0.0126732i | ||||
\(286\) | 0.515226 | − | 1.58570i | 0.0304659 | − | 0.0937645i | ||||
\(287\) | −13.1592 | + | 4.27568i | −0.776762 | + | 0.252385i | ||||
\(288\) | 2.85298 | − | 0.926991i | 0.168114 | − | 0.0546235i | ||||
\(289\) | 5.96881 | − | 4.33660i | 0.351107 | − | 0.255094i | ||||
\(290\) | −12.2305 | − | 14.0955i | −0.718197 | − | 0.827717i | ||||
\(291\) | 0.0365304 | − | 0.0265409i | 0.00214145 | − | 0.00155585i | ||||
\(292\) | 8.17948 | − | 11.2581i | 0.478668 | − | 0.658830i | ||||
\(293\) | −8.07780 | + | 2.62464i | −0.471910 | + | 0.153333i | −0.535311 | − | 0.844655i | \(-0.679805\pi\) |
0.0634006 | + | 0.997988i | \(0.479805\pi\) | |||||||
\(294\) | −0.0502015 | − | 0.0364735i | −0.00292781 | − | 0.00212718i | ||||
\(295\) | −5.45494 | − | 12.8837i | −0.317599 | − | 0.750119i | ||||
\(296\) | 1.80514 | + | 5.55564i | 0.104921 | + | 0.322915i | ||||
\(297\) | −0.0709580 | + | 0.0976653i | −0.00411740 | + | 0.00566712i | ||||
\(298\) | 0.878008 | + | 1.20847i | 0.0508616 | + | 0.0700050i | ||||
\(299\) | 3.02373 | − | 9.30607i | 0.174867 | − | 0.538184i | ||||
\(300\) | −0.0307069 | + | 0.0626678i | −0.00177287 | + | 0.00361813i | ||||
\(301\) | −2.14388 | − | 6.59819i | −0.123571 | − | 0.380313i | ||||
\(302\) | −6.19669 | + | 2.01343i | −0.356580 | + | 0.115860i | ||||
\(303\) | 0.00441871 | + | 0.00143573i | 0.000253848 | + | 8.24803e-5i | ||||
\(304\) | −8.00192 | −0.458941 | ||||||||
\(305\) | −5.49821 | − | 3.31049i | −0.314826 | − | 0.189558i | ||||
\(306\) | −4.57692 | + | 14.0863i | −0.261645 | + | 0.805261i | ||||
\(307\) | −3.99602 | + | 5.50005i | −0.228065 | + | 0.313904i | −0.907679 | − | 0.419666i | \(-0.862147\pi\) |
0.679614 | + | 0.733570i | \(0.262147\pi\) | |||||||
\(308\) | 1.35420 | + | 1.86390i | 0.0771629 | + | 0.106206i | ||||
\(309\) | 0.0577613 | 0.00328593 | ||||||||
\(310\) | 12.1983 | − | 2.49028i | 0.692817 | − | 0.141438i | ||||
\(311\) | 22.0431 | 1.24995 | 0.624974 | − | 0.780646i | \(-0.285110\pi\) | ||||
0.624974 | + | 0.780646i | \(0.285110\pi\) | |||||||
\(312\) | −0.00948839 | − | 0.0130597i | −0.000537174 | − | 0.000739357i | ||||
\(313\) | −2.87377 | + | 3.95541i | −0.162435 | + | 0.223573i | −0.882474 | − | 0.470361i | \(-0.844124\pi\) |
0.720039 | + | 0.693934i | \(0.244124\pi\) | |||||||
\(314\) | −4.14147 | + | 12.7461i | −0.233717 | + | 0.719307i | ||||
\(315\) | 5.52966 | − | 9.18389i | 0.311561 | − | 0.517454i | ||||
\(316\) | −9.30558 | −0.523480 | ||||||||
\(317\) | −22.0267 | − | 7.15690i | −1.23714 | − | 0.401971i | −0.383845 | − | 0.923398i | \(-0.625400\pi\) |
−0.853296 | + | 0.521426i | \(0.825400\pi\) | |||||||
\(318\) | 0.179083 | − | 0.0581875i | 0.0100425 | − | 0.00326300i | ||||
\(319\) | −3.71790 | − | 11.4425i | −0.208162 | − | 0.640658i | ||||
\(320\) | 2.22774 | − | 0.192852i | 0.124534 | − | 0.0107808i | ||||
\(321\) | 0.00807334 | − | 0.0248472i | 0.000450610 | − | 0.00138683i | ||||
\(322\) | 7.94746 | + | 10.9387i | 0.442895 | + | 0.609592i | ||||
\(323\) | 23.2226 | − | 31.9631i | 1.29214 | − | 1.77848i | ||||
\(324\) | −2.78061 | − | 8.55784i | −0.154478 | − | 0.475436i | ||||
\(325\) | −5.72509 | − | 0.815274i | −0.317571 | − | 0.0452233i | ||||
\(326\) | −16.7065 | − | 12.1380i | −0.925286 | − | 0.672260i | ||||
\(327\) | −0.161023 | + | 0.0523195i | −0.00890459 | + | 0.00289328i | ||||
\(328\) | −5.08885 | + | 7.00420i | −0.280985 | + | 0.386742i | ||||
\(329\) | −10.6687 | + | 7.75127i | −0.588185 | + | 0.427341i | ||||
\(330\) | −0.0339825 | + | 0.0294861i | −0.00187067 | + | 0.00162315i | ||||
\(331\) | −6.00478 | + | 4.36273i | −0.330052 | + | 0.239797i | −0.740453 | − | 0.672108i | \(-0.765389\pi\) |
0.410400 | + | 0.911905i | \(0.365389\pi\) | |||||||
\(332\) | −7.80330 | + | 2.53545i | −0.428262 | + | 0.139151i | ||||
\(333\) | 16.6658 | − | 5.41506i | 0.913282 | − | 0.296743i | ||||
\(334\) | −1.41323 | + | 4.34949i | −0.0773288 | + | 0.237993i | ||||
\(335\) | 15.2985 | − | 25.4084i | 0.835846 | − | 1.38821i | ||||
\(336\) | 0.0223061 | 0.00121690 | ||||||||
\(337\) | −5.79724 | − | 1.88364i | −0.315796 | − | 0.102608i | 0.146830 | − | 0.989162i | \(-0.453093\pi\) |
−0.462626 | + | 0.886553i | \(0.653093\pi\) | |||||||
\(338\) | −6.85496 | + | 9.43504i | −0.372860 | + | 0.513198i | ||||
\(339\) | 0.114095 | − | 0.0828951i | 0.00619681 | − | 0.00450224i | ||||
\(340\) | −5.69484 | + | 9.45823i | −0.308846 | + | 0.512944i | ||||
\(341\) | 7.86785 | + | 1.58777i | 0.426068 | + | 0.0859824i | ||||
\(342\) | 24.0042i | 1.29800i | ||||||||
\(343\) | 10.7520 | + | 14.7989i | 0.580553 | + | 0.799063i | ||||
\(344\) | −3.51200 | − | 2.55162i | −0.189354 | − | 0.137574i | ||||
\(345\) | −0.199434 | + | 0.173046i | −0.0107372 | + | 0.00931648i | ||||
\(346\) | −11.5369 | −0.620225 | ||||||||
\(347\) | 8.45573i | 0.453927i | 0.973903 | + | 0.226964i | \(0.0728799\pi\) | ||||
−0.973903 | + | 0.226964i | \(0.927120\pi\) | |||||||
\(348\) | −0.110785 | − | 0.0359961i | −0.00593869 | − | 0.00192960i | ||||
\(349\) | −0.598922 | − | 1.84329i | −0.0320595 | − | 0.0986691i | 0.933746 | − | 0.357936i | \(-0.116519\pi\) |
−0.965806 | + | 0.259266i | \(0.916519\pi\) | |||||||
\(350\) | 5.56138 | − | 5.73797i | 0.297268 | − | 0.306708i | ||||
\(351\) | −0.0783554 | + | 0.0569285i | −0.00418230 | + | 0.00303862i | ||||
\(352\) | 1.37104 | + | 0.445478i | 0.0730766 | + | 0.0237440i | ||||
\(353\) | −4.72132 | − | 6.49835i | −0.251291 | − | 0.345872i | 0.664672 | − | 0.747135i | \(-0.268571\pi\) |
−0.915963 | + | 0.401263i | \(0.868571\pi\) | |||||||
\(354\) | −0.0706516 | − | 0.0513314i | −0.00375509 | − | 0.00272823i | ||||
\(355\) | 2.60397 | − | 11.2322i | 0.138205 | − | 0.596146i | ||||
\(356\) | −6.31918 | − | 4.59116i | −0.334916 | − | 0.243331i | ||||
\(357\) | −0.0647352 | + | 0.0891003i | −0.00342615 | + | 0.00471569i | ||||
\(358\) | 7.06751 | − | 2.29637i | 0.373529 | − | 0.121367i | ||||
\(359\) | 0.158439 | + | 0.115113i | 0.00836209 | + | 0.00607542i | 0.591958 | − | 0.805968i | \(-0.298355\pi\) |
−0.583596 | + | 0.812044i | \(0.698355\pi\) | |||||||
\(360\) | −0.578519 | − | 6.68277i | −0.0304906 | − | 0.352213i | ||||
\(361\) | 13.9152 | − | 42.8267i | 0.732381 | − | 2.25404i | ||||
\(362\) | −3.92639 | − | 5.40421i | −0.206366 | − | 0.284039i | ||||
\(363\) | 0.118430 | − | 0.0384802i | 0.00621595 | − | 0.00201969i | ||||
\(364\) | 0.571184 | + | 1.75792i | 0.0299382 | + | 0.0921402i | ||||
\(365\) | −20.3929 | − | 23.5026i | −1.06741 | − | 1.23018i | ||||
\(366\) | −0.0400600 | −0.00209397 | ||||||||
\(367\) | 17.9315i | 0.936019i | 0.883723 | + | 0.468010i | \(0.155029\pi\) | ||||
−0.883723 | + | 0.468010i | \(0.844971\pi\) | |||||||
\(368\) | 8.04627 | + | 2.61439i | 0.419441 | + | 0.136285i | ||||
\(369\) | 21.0112 | + | 15.2656i | 1.09380 | + | 0.794693i | ||||
\(370\) | 13.0134 | − | 1.12655i | 0.676535 | − | 0.0585667i | ||||
\(371\) | −21.5609 | −1.11939 | ||||||||
\(372\) | 0.0572114 | − | 0.0525915i | 0.00296628 | − | 0.00272674i | ||||
\(373\) | 8.31057i | 0.430305i | 0.976580 | + | 0.215152i | \(0.0690248\pi\) | ||||
−0.976580 | + | 0.215152i | \(0.930975\pi\) | |||||||
\(374\) | −5.75836 | + | 4.18369i | −0.297758 | + | 0.216334i | ||||
\(375\) | 0.121002 | + | 0.0985358i | 0.00624853 | + | 0.00508837i | ||||
\(376\) | −2.54985 | + | 7.84764i | −0.131499 | + | 0.404711i | ||||
\(377\) | − | 9.65258i | − | 0.497133i | ||||||
\(378\) | − | 0.133832i | − | 0.00688359i | ||||||
\(379\) | −2.51391 | + | 7.73702i | −0.129131 | + | 0.397424i | −0.994631 | − | 0.103485i | \(-0.967001\pi\) |
0.865500 | + | 0.500909i | \(0.167001\pi\) | |||||||
\(380\) | −4.04093 | + | 17.4306i | −0.207295 | + | 0.894169i | ||||
\(381\) | 0.0540656 | + | 0.166397i | 0.00276986 | + | 0.00852476i | ||||
\(382\) | −1.67167 | − | 2.30085i | −0.0855299 | − | 0.117722i | ||||
\(383\) | 14.6331 | + | 4.75459i | 0.747718 | + | 0.242948i | 0.657999 | − | 0.753019i | \(-0.271403\pi\) |
0.0897189 | + | 0.995967i | \(0.471403\pi\) | |||||||
\(384\) | 0.0112917 | − | 0.00820391i | 0.000576228 | − | 0.000418654i | ||||
\(385\) | 4.74400 | − | 2.00860i | 0.241776 | − | 0.102368i | ||||
\(386\) | 0.369582 | + | 1.13746i | 0.0188112 | + | 0.0578950i | ||||
\(387\) | −7.65435 | + | 10.5353i | −0.389093 | + | 0.535540i | ||||
\(388\) | −1.90157 | + | 2.61729i | −0.0965377 | + | 0.132873i | ||||
\(389\) | −10.4672 | − | 32.2146i | −0.530706 | − | 1.63335i | −0.752748 | − | 0.658309i | \(-0.771272\pi\) |
0.222041 | − | 0.975037i | \(-0.428728\pi\) | |||||||
\(390\) | −0.0332394 | + | 0.0140735i | −0.00168314 | + | 0.000712638i | ||||
\(391\) | −33.7943 | + | 24.5530i | −1.70905 | + | 1.24170i | ||||
\(392\) | 4.22827 | + | 1.37385i | 0.213560 | + | 0.0693898i | ||||
\(393\) | 0.0537940 | + | 0.0740410i | 0.00271355 | + | 0.00373488i | ||||
\(394\) | −1.82340 | − | 5.61184i | −0.0918615 | − | 0.282721i | ||||
\(395\) | −4.69927 | + | 20.2703i | −0.236446 | + | 1.01991i | ||||
\(396\) | 1.33635 | − | 4.11285i | 0.0671539 | − | 0.206678i | ||||
\(397\) | − | 15.1531i | − | 0.760512i | −0.924881 | − | 0.380256i | \(-0.875836\pi\) | ||
0.924881 | − | 0.380256i | \(-0.124164\pi\) | |||||||
\(398\) | − | 11.4034i | − | 0.571603i | ||||||
\(399\) | −0.0551570 | + | 0.169756i | −0.00276130 | + | 0.00849841i | ||||
\(400\) | 0.704907 | − | 4.95006i | 0.0352453 | − | 0.247503i | ||||
\(401\) | 12.4395 | − | 9.03782i | 0.621199 | − | 0.451327i | −0.232141 | − | 0.972682i | \(-0.574573\pi\) |
0.853340 | + | 0.521355i | \(0.174573\pi\) | |||||||
\(402\) | − | 0.185126i | − | 0.00923324i | ||||||
\(403\) | 5.60967 | + | 3.16209i | 0.279438 | + | 0.157515i | ||||
\(404\) | −0.332880 | −0.0165614 | ||||||||
\(405\) | −20.0457 | + | 1.73533i | −0.996080 | + | 0.0862293i | ||||
\(406\) | 10.7907 | + | 7.83993i | 0.535535 | + | 0.389089i | ||||
\(407\) | 8.00898 | + | 2.60228i | 0.396991 | + | 0.128990i | ||||
\(408\) | 0.0689128i | 0.00341169i | ||||||||
\(409\) | 31.3896 | 1.55211 | 0.776057 | − | 0.630663i | \(-0.217217\pi\) | ||||
0.776057 | + | 0.630663i | \(0.217217\pi\) | |||||||
\(410\) | 12.6874 | + | 14.6221i | 0.626585 | + | 0.722134i | ||||
\(411\) | −0.00756549 | − | 0.0232842i | −0.000373178 | − | 0.00114852i | ||||
\(412\) | −3.93587 | + | 1.27884i | −0.193907 | + | 0.0630041i | ||||
\(413\) | 5.87763 | + | 8.08987i | 0.289219 | + | 0.398076i | ||||
\(414\) | 7.84266 | − | 24.1372i | 0.385446 | − | 1.18628i | ||||
\(415\) | 1.58233 | + | 18.2783i | 0.0776734 | + | 0.897247i | ||||
\(416\) | 0.935685 | + | 0.679815i | 0.0458757 | + | 0.0333307i | ||||
\(417\) | −0.176253 | + | 0.0572681i | −0.00863115 | + | 0.00280443i | ||||
\(418\) | −6.78041 | + | 9.33244i | −0.331641 | + | 0.456464i | ||||
\(419\) | 16.9601 | + | 12.3222i | 0.828554 | + | 0.601980i | 0.919150 | − | 0.393908i | \(-0.128877\pi\) |
−0.0905960 | + | 0.995888i | \(0.528877\pi\) | |||||||
\(420\) | 0.0112645 | − | 0.0485893i | 0.000549650 | − | 0.00237092i | ||||
\(421\) | −9.83480 | − | 7.14540i | −0.479319 | − | 0.348246i | 0.321743 | − | 0.946827i | \(-0.395731\pi\) |
−0.801062 | + | 0.598581i | \(0.795731\pi\) | |||||||
\(422\) | −4.88463 | − | 6.72311i | −0.237780 | − | 0.327276i | ||||
\(423\) | 23.5414 | + | 7.64906i | 1.14462 | + | 0.371910i | ||||
\(424\) | −10.9145 | + | 7.92984i | −0.530054 | + | 0.385107i | ||||
\(425\) | 17.7270 | + | 17.1814i | 0.859884 | + | 0.833421i | ||||
\(426\) | −0.0222400 | − | 0.0684475i | −0.00107753 | − | 0.00331629i | ||||
\(427\) | 4.36252 | + | 1.41747i | 0.211117 | + | 0.0685961i | ||||
\(428\) | 1.87184i | 0.0904788i | ||||||||
\(429\) | −0.0232711 | −0.00112354 | ||||||||
\(430\) | −7.33172 | + | 6.36163i | −0.353567 | + | 0.306785i | ||||
\(431\) | 22.1371 | + | 16.0836i | 1.06631 | + | 0.774718i | 0.975245 | − | 0.221127i | \(-0.0709735\pi\) |
0.0910632 | + | 0.995845i | \(0.470973\pi\) | |||||||
\(432\) | −0.0492219 | − | 0.0677481i | −0.00236819 | − | 0.00325953i | ||||
\(433\) | − | 36.6802i | − | 1.76274i | −0.472428 | − | 0.881370i | \(-0.656622\pi\) | ||
0.472428 | − | 0.881370i | \(-0.343378\pi\) | |||||||
\(434\) | −8.09117 | + | 3.70284i | −0.388389 | + | 0.177742i | ||||
\(435\) | −0.134356 | + | 0.223144i | −0.00644188 | + | 0.0106989i | ||||
\(436\) | 9.81380 | − | 7.13014i | 0.469996 | − | 0.341472i | ||||
\(437\) | −39.7925 | + | 54.7696i | −1.90353 | + | 2.61999i | ||||
\(438\) | −0.184721 | − | 0.0600194i | −0.00882629 | − | 0.00286784i | ||||
\(439\) | −0.951941 | −0.0454337 | −0.0227168 | − | 0.999742i | \(-0.507232\pi\) | ||||
−0.0227168 | + | 0.999742i | \(0.507232\pi\) | |||||||
\(440\) | 1.66275 | − | 2.76157i | 0.0792685 | − | 0.131653i | ||||
\(441\) | 4.12128 | − | 12.6840i | 0.196251 | − | 0.604000i | ||||
\(442\) | −5.43095 | + | 1.76462i | −0.258324 | + | 0.0839346i | ||||
\(443\) | −32.5950 | + | 10.5908i | −1.54864 | + | 0.503183i | −0.953743 | − | 0.300622i | \(-0.902806\pi\) |
−0.594893 | + | 0.803805i | \(0.702806\pi\) | |||||||
\(444\) | 0.0659610 | − | 0.0479235i | 0.00313037 | − | 0.00227435i | ||||
\(445\) | −13.1921 | + | 11.4466i | −0.625364 | + | 0.542619i | ||||
\(446\) | 15.9642 | − | 11.5987i | 0.755928 | − | 0.549214i | ||||
\(447\) | 0.0122546 | − | 0.0168671i | 0.000579624 | − | 0.000797784i | ||||
\(448\) | −1.51995 | + | 0.493860i | −0.0718107 | + | 0.0233327i | ||||
\(449\) | 28.6849 | + | 20.8408i | 1.35372 | + | 0.983537i | 0.998817 | + | 0.0486349i | \(0.0154871\pi\) |
0.354906 | + | 0.934902i | \(0.384513\pi\) | |||||||
\(450\) | −14.8492 | − | 2.11458i | −0.699999 | − | 0.0996824i | ||||
\(451\) | 3.85679 | + | 11.8700i | 0.181609 | + | 0.558936i | ||||
\(452\) | −5.93918 | + | 8.17459i | −0.279356 | + | 0.384500i | ||||
\(453\) | 0.0534533 | + | 0.0735721i | 0.00251145 | + | 0.00345672i | ||||
\(454\) | −4.57342 | + | 14.0755i | −0.214641 | + | 0.660597i | ||||
\(455\) | 4.11772 | − | 0.356466i | 0.193042 | − | 0.0167114i | ||||
\(456\) | 0.0345127 | + | 0.106219i | 0.00161620 | + | 0.00497416i | ||||
\(457\) | −30.5683 | + | 9.93223i | −1.42992 | + | 0.464610i | −0.918741 | − | 0.394862i | \(-0.870792\pi\) |
−0.511183 | + | 0.859472i | \(0.670792\pi\) | |||||||
\(458\) | −0.847637 | − | 0.275414i | −0.0396075 | − | 0.0128692i | ||||
\(459\) | 0.413463 | 0.0192988 | ||||||||
\(460\) | 9.75825 | − | 16.2069i | 0.454981 | − | 0.755651i | ||||
\(461\) | 7.49143 | − | 23.0562i | 0.348911 | − | 1.07384i | −0.610546 | − | 0.791981i | \(-0.709050\pi\) |
0.959457 | − | 0.281856i | \(-0.0909500\pi\) | |||||||
\(462\) | 0.0189011 | − | 0.0260151i | 0.000879356 | − | 0.00121033i | ||||
\(463\) | 3.76915 | + | 5.18779i | 0.175167 | + | 0.241097i | 0.887569 | − | 0.460675i | \(-0.152393\pi\) |
−0.712402 | + | 0.701772i | \(0.752393\pi\) | |||||||
\(464\) | 8.34587 | 0.387447 | ||||||||
\(465\) | −0.0856684 | − | 0.151182i | −0.00397278 | − | 0.00701090i | ||||
\(466\) | 21.4150 | 0.992029 | ||||||||
\(467\) | −10.7585 | − | 14.8078i | −0.497842 | − | 0.685221i | 0.483968 | − | 0.875086i | \(-0.339195\pi\) |
−0.981810 | + | 0.189865i | \(0.939195\pi\) | |||||||
\(468\) | 2.03931 | − | 2.80687i | 0.0942672 | − | 0.129748i | ||||
\(469\) | −6.55042 | + | 20.1601i | −0.302470 | + | 0.930908i | ||||
\(470\) | 15.8068 | + | 9.51735i | 0.729114 | + | 0.439003i | ||||
\(471\) | 0.187057 | 0.00861914 | ||||||||
\(472\) | 5.95071 | + | 1.93350i | 0.273903 | + | 0.0889966i | ||||
\(473\) | −5.95178 | + | 1.93385i | −0.273663 | + | 0.0889185i | ||||
\(474\) | 0.0401354 | + | 0.123524i | 0.00184348 | + | 0.00567365i | ||||
\(475\) | 35.9283 | + | 17.6047i | 1.64850 | + | 0.807759i | ||||
\(476\) | 2.43838 | − | 7.50457i | 0.111763 | − | 0.343971i | ||||
\(477\) | 23.7880 | + | 32.7413i | 1.08918 | + | 1.49912i | ||||
\(478\) | 4.10371 | − | 5.64827i | 0.187699 | − | 0.258346i | ||||
\(479\) | 8.54657 | + | 26.3036i | 0.390503 | + | 1.20184i | 0.932409 | + | 0.361405i | \(0.117703\pi\) |
−0.541906 | + | 0.840439i | \(0.682297\pi\) | |||||||
\(480\) | −0.0121683 | − | 0.0287396i | −0.000555404 | − | 0.00131178i | ||||
\(481\) | 5.46584 | + | 3.97117i | 0.249221 | + | 0.181070i | ||||
\(482\) | 16.9455 | − | 5.50593i | 0.771846 | − | 0.250788i | ||||
\(483\) | 0.110925 | − | 0.152676i | 0.00504728 | − | 0.00694698i | ||||
\(484\) | −7.21789 | + | 5.24410i | −0.328086 | + | 0.238368i | ||||
\(485\) | 4.74095 | + | 5.46391i | 0.215275 | + | 0.248103i | ||||
\(486\) | −0.304850 | + | 0.221486i | −0.0138283 | + | 0.0100468i | ||||
\(487\) | 32.3487 | − | 10.5107i | 1.46586 | − | 0.476286i | 0.536004 | − | 0.844215i | \(-0.319933\pi\) |
0.929854 | + | 0.367929i | \(0.119933\pi\) | |||||||
\(488\) | 2.72970 | − | 0.886934i | 0.123568 | − | 0.0401496i | ||||
\(489\) | −0.0890659 | + | 0.274117i | −0.00402770 | + | 0.0123960i | ||||
\(490\) | 5.12791 | − | 8.51665i | 0.231655 | − | 0.384743i | ||||
\(491\) | −41.3072 | −1.86417 | −0.932085 | − | 0.362240i | \(-0.882012\pi\) | ||||
−0.932085 | + | 0.362240i | \(0.882012\pi\) | |||||||
\(492\) | 0.114924 | + | 0.0373409i | 0.00518116 | + | 0.00168346i | ||||
\(493\) | −24.2208 | + | 33.3370i | −1.09085 | + | 1.50142i | ||||
\(494\) | −7.48727 | + | 5.43982i | −0.336868 | + | 0.244749i | ||||
\(495\) | −8.28416 | − | 4.98793i | −0.372345 | − | 0.224191i | ||||
\(496\) | −2.73402 | + | 4.85027i | −0.122761 | + | 0.217784i | ||||
\(497\) | 8.24083i | 0.369652i | ||||||||
\(498\) | 0.0673121 | + | 0.0926471i | 0.00301633 | + | 0.00415162i | ||||
\(499\) | −6.91262 | − | 5.02231i | −0.309451 | − | 0.224830i | 0.422210 | − | 0.906498i | \(-0.361255\pi\) |
−0.731661 | + | 0.681669i | \(0.761255\pi\) | |||||||
\(500\) | −10.4267 | − | 4.03525i | −0.466298 | − | 0.180462i | ||||
\(501\) | 0.0638313 | 0.00285177 | ||||||||
\(502\) | 16.7295i | 0.746675i | ||||||||
\(503\) | −12.1071 | − | 3.93384i | −0.539830 | − | 0.175401i | 0.0263960 | − | 0.999652i | \(-0.491597\pi\) |
−0.566226 | + | 0.824250i | \(0.691597\pi\) | |||||||
\(504\) | 1.48148 | + | 4.55954i | 0.0659906 | + | 0.203098i | ||||
\(505\) | −0.168103 | + | 0.725111i | −0.00748047 | + | 0.0322670i | ||||
\(506\) | 9.86709 | − | 7.16886i | 0.438646 | − | 0.318695i | ||||
\(507\) | 0.154808 | + | 0.0503003i | 0.00687528 | + | 0.00223391i | ||||
\(508\) | −7.36809 | − | 10.1413i | −0.326906 | − | 0.449948i | ||||
\(509\) | −28.0960 | − | 20.4130i | −1.24534 | − | 0.904789i | −0.247394 | − | 0.968915i | \(-0.579574\pi\) |
−0.997942 | + | 0.0641260i | \(0.979574\pi\) | |||||||
\(510\) | 0.150113 | + | 0.0348006i | 0.00664710 | + | 0.00154100i | ||||
\(511\) | 17.9923 | + | 13.0722i | 0.795932 | + | 0.578278i | ||||
\(512\) | −0.587785 | + | 0.809017i | −0.0259767 | + | 0.0357538i | ||||
\(513\) | 0.637294 | − | 0.207069i | 0.0281372 | − | 0.00914233i | ||||
\(514\) | 15.0161 | + | 10.9098i | 0.662330 | + | 0.481211i | ||||
\(515\) | 0.798103 | + | 9.21932i | 0.0351686 | + | 0.406252i | ||||
\(516\) | −0.0187233 | + | 0.0576242i | −0.000824245 | + | 0.00253677i | ||||
\(517\) | 6.99189 | + | 9.62351i | 0.307503 | + | 0.423242i | ||||
\(518\) | −8.87883 | + | 2.88491i | −0.390113 | + | 0.126756i | ||||
\(519\) | 0.0497590 | + | 0.153142i | 0.00218418 | + | 0.00672221i | ||||
\(520\) | 1.95335 | − | 1.69490i | 0.0856603 | − | 0.0743261i | ||||
\(521\) | −31.9539 | −1.39993 | −0.699964 | − | 0.714178i | \(-0.746801\pi\) | ||||
−0.699964 | + | 0.714178i | \(0.746801\pi\) | |||||||
\(522\) | − | 25.0360i | − | 1.09580i | ||||||
\(523\) | −26.8047 | − | 8.70936i | −1.17209 | − | 0.380834i | −0.342665 | − | 0.939458i | \(-0.611330\pi\) |
−0.829421 | + | 0.558624i | \(0.811330\pi\) | |||||||
\(524\) | −5.30482 | − | 3.85417i | −0.231742 | − | 0.168370i | ||||
\(525\) | −0.100154 | − | 0.0490748i | −0.00437106 | − | 0.00214180i | ||||
\(526\) | −4.10140 | −0.178829 | ||||||||
\(527\) | −11.4396 | − | 24.9970i | −0.498317 | − | 1.08889i | ||||
\(528\) | − | 0.0201208i | − | 0.000875646i | ||||||
\(529\) | 39.3000 | − | 28.5531i | 1.70870 | − | 1.24144i | ||||
\(530\) | 11.7618 | + | 27.7795i | 0.510899 | + | 1.20667i | ||||
\(531\) | 5.80013 | − | 17.8510i | 0.251704 | − | 0.774666i | ||||
\(532\) | − | 12.7884i | − | 0.554447i | ||||||
\(533\) | 10.0132i | 0.433720i | ||||||||
\(534\) | −0.0336890 | + | 0.103684i | −0.00145786 | + | 0.00448685i | ||||
\(535\) | 4.07742 | + | 0.945270i | 0.176282 | + | 0.0408676i | ||||
\(536\) | 4.09871 | + | 12.6145i | 0.177037 | + | 0.544865i | ||||
\(537\) | −0.0609650 | − | 0.0839112i | −0.00263084 | − | 0.00362103i | ||||
\(538\) | −17.4157 | − | 5.65872i | −0.750846 | − | 0.243965i | ||||
\(539\) | 5.18511 | − | 3.76720i | 0.223338 | − | 0.162265i | ||||
\(540\) | −0.172432 | + | 0.0730074i | −0.00742030 | + | 0.00314174i | ||||
\(541\) | −4.34116 | − | 13.3607i | −0.186641 | − | 0.574422i | 0.813332 | − | 0.581800i | \(-0.197651\pi\) |
−0.999973 | + | 0.00737825i | \(0.997651\pi\) | |||||||
\(542\) | 1.70561 | − | 2.34757i | 0.0732623 | − | 0.100837i | ||||
\(543\) | −0.0548019 | + | 0.0754283i | −0.00235177 | + | 0.00323694i | ||||
\(544\) | −1.52574 | − | 4.69574i | −0.0654155 | − | 0.201328i | ||||
\(545\) | −10.5756 | − | 24.9781i | −0.453011 | − | 1.06994i | ||||
\(546\) | 0.0208715 | − | 0.0151640i | 0.000893217 | − | 0.000648960i | ||||
\(547\) | 37.2933 | + | 12.1173i | 1.59455 | + | 0.518100i | 0.965751 | − | 0.259471i | \(-0.0835482\pi\) |
0.628796 | + | 0.777571i | \(0.283548\pi\) | |||||||
\(548\) | 1.03103 | + | 1.41909i | 0.0440434 | + | 0.0606206i | ||||
\(549\) | −2.66063 | − | 8.18858i | −0.113553 | − | 0.349480i | ||||
\(550\) | −5.17583 | − | 5.01654i | −0.220698 | − | 0.213906i | ||||
\(551\) | −20.6371 | + | 63.5144i | −0.879169 | + | 2.70580i | ||||
\(552\) | − | 0.118084i | − | 0.00502598i | ||||||
\(553\) | − | 14.8719i | − | 0.632416i | ||||||
\(554\) | −2.06751 | + | 6.36315i | −0.0878402 | + | 0.270344i | ||||
\(555\) | −0.0710816 | − | 0.167884i | −0.00301725 | − | 0.00712627i | ||||
\(556\) | 10.7420 | − | 7.80454i | 0.455563 | − | 0.330986i | ||||
\(557\) | − | 14.9720i | − | 0.634386i | −0.948361 | − | 0.317193i | \(-0.897260\pi\) | ||
0.948361 | − | 0.317193i | \(-0.102740\pi\) | |||||||
\(558\) | 14.5499 | + | 8.20154i | 0.615945 | + | 0.347199i | ||||
\(559\) | −5.02075 | −0.212355 | ||||||||
\(560\) | 0.308209 | + | 3.56029i | 0.0130242 | + | 0.150450i | ||||
\(561\) | 0.0803713 | + | 0.0583932i | 0.00339328 | + | 0.00246536i | ||||
\(562\) | −2.11465 | − | 0.687091i | −0.0892010 | − | 0.0289832i | ||||
\(563\) | 0.427944i | 0.0180357i | 0.999959 | + | 0.00901785i | \(0.00287051\pi\) | ||||
−0.999959 | + | 0.00901785i | \(0.997129\pi\) | |||||||
\(564\) | 0.115169 | 0.00484948 | ||||||||
\(565\) | 14.8074 | + | 17.0654i | 0.622953 | + | 0.717948i | ||||
\(566\) | −7.11149 | − | 21.8869i | −0.298918 | − | 0.919976i | ||||
\(567\) | 13.6768 | − | 4.44388i | 0.574374 | − | 0.186625i | ||||
\(568\) | 3.03088 | + | 4.17164i | 0.127173 | + | 0.175038i | ||||
\(569\) | −7.29530 | + | 22.4526i | −0.305835 | + | 0.941263i | 0.673530 | + | 0.739160i | \(0.264777\pi\) |
−0.979364 | + | 0.202102i | \(0.935223\pi\) | |||||||
\(570\) | 0.248805 | − | 0.0215387i | 0.0104213 | − | 0.000902159i | ||||
\(571\) | 1.65255 | + | 1.20065i | 0.0691569 | + | 0.0502455i | 0.621827 | − | 0.783155i | \(-0.286391\pi\) |
−0.552670 | + | 0.833400i | \(0.686391\pi\) | |||||||
\(572\) | 1.58570 | − | 0.515226i | 0.0663015 | − | 0.0215427i | ||||
\(573\) | −0.0233320 | + | 0.0321137i | −0.000974707 | + | 0.00134157i | ||||
\(574\) | −11.1939 | − | 8.13282i | −0.467223 | − | 0.339457i | ||||
\(575\) | −30.3756 | − | 29.4408i | −1.26675 | − | 1.22777i | ||||
\(576\) | 2.42689 | + | 1.76324i | 0.101121 | + | 0.0734684i | ||||
\(577\) | −21.1567 | − | 29.1197i | −0.880764 | − | 1.21227i | −0.976209 | − | 0.216833i | \(-0.930427\pi\) |
0.0954451 | − | 0.995435i | \(-0.469573\pi\) | |||||||
\(578\) | 7.01676 | + | 2.27988i | 0.291859 | + | 0.0948306i | ||||
\(579\) | 0.0135048 | − | 0.00981181i | 0.000561240 | − | 0.000407765i | ||||
\(580\) | 4.21462 | − | 18.1798i | 0.175003 | − | 0.754874i | ||||
\(581\) | −4.05206 | − | 12.4710i | −0.168108 | − | 0.517383i | ||||
\(582\) | 0.0429440 | + | 0.0139534i | 0.00178009 | + | 0.000578385i | ||||
\(583\) | 19.4486i | 0.805480i | ||||||||
\(584\) | 13.9158 | 0.575838 | ||||||||
\(585\) | −5.08436 | − | 5.85968i | −0.210212 | − | 0.242268i | ||||
\(586\) | −6.87138 | − | 4.99235i | −0.283854 | − | 0.206232i | ||||
\(587\) | 2.76463 | + | 3.80519i | 0.114109 | + | 0.157057i | 0.862251 | − | 0.506481i | \(-0.169054\pi\) |
−0.748142 | + | 0.663538i | \(0.769054\pi\) | |||||||
\(588\) | − | 0.0620524i | − | 0.00255900i | ||||||
\(589\) | −30.1514 | − | 32.8001i | −1.24237 | − | 1.35150i | ||||
\(590\) | 7.21682 | − | 11.9860i | 0.297112 | − | 0.493456i | ||||
\(591\) | −0.0666283 | + | 0.0484083i | −0.00274072 | + | 0.00199125i | ||||
\(592\) | −3.43357 | + | 4.72591i | −0.141119 | + | 0.194234i | ||||
\(593\) | −0.739884 | − | 0.240403i | −0.0303834 | − | 0.00987216i | 0.293786 | − | 0.955871i | \(-0.405085\pi\) |
−0.324169 | + | 0.945999i | \(0.605085\pi\) | |||||||
\(594\) | −0.120721 | −0.00495324 | ||||||||
\(595\) | −15.1158 | − | 9.10129i | −0.619688 | − | 0.373117i | ||||
\(596\) | −0.461596 | + | 1.42065i | −0.0189077 | + | 0.0581919i | ||||
\(597\) | −0.151372 | + | 0.0491836i | −0.00619523 | + | 0.00201295i | ||||
\(598\) | 9.30607 | − | 3.02373i | 0.380554 | − | 0.123649i | ||||
\(599\) | −0.985268 | + | 0.715839i | −0.0402569 | + | 0.0292484i | −0.607732 | − | 0.794142i | \(-0.707920\pi\) |
0.567475 | + | 0.823391i | \(0.307920\pi\) | |||||||
\(600\) | −0.0687484 | + | 0.0119928i | −0.00280664 | + | 0.000489603i | ||||
\(601\) | 7.63662 | − | 5.54833i | 0.311504 | − | 0.226321i | −0.421038 | − | 0.907043i | \(-0.638334\pi\) |
0.732542 | + | 0.680722i | \(0.238334\pi\) | |||||||
\(602\) | 4.07791 | − | 5.61276i | 0.166203 | − | 0.228759i | ||||
\(603\) | 37.8412 | − | 12.2953i | 1.54101 | − | 0.500705i | ||||
\(604\) | −5.27122 | − | 3.82977i | −0.214483 | − | 0.155831i | ||||
\(605\) | 7.77822 | + | 18.3710i | 0.316230 | + | 0.746886i | ||||
\(606\) | 0.00143573 | + | 0.00441871i | 5.83224e−5 | + | 0.000179498i | ||||
\(607\) | −18.2533 | + | 25.1235i | −0.740879 | + | 1.01973i | 0.257689 | + | 0.966228i | \(0.417039\pi\) |
−0.998568 | + | 0.0535044i | \(0.982961\pi\) | |||||||
\(608\) | −4.70341 | − | 6.47369i | −0.190748 | − | 0.262543i | ||||
\(609\) | 0.0575278 | − | 0.177052i | 0.00233114 | − | 0.00717452i | ||||
\(610\) | −0.553520 | − | 6.39400i | −0.0224114 | − | 0.258886i | ||||
\(611\) | 2.94908 | + | 9.07634i | 0.119307 | + | 0.367189i | ||||
\(612\) | −14.0863 | + | 4.57692i | −0.569405 | + | 0.185011i | ||||
\(613\) | −13.9097 | − | 4.51955i | −0.561809 | − | 0.182543i | 0.0143259 | − | 0.999897i | \(-0.495440\pi\) |
−0.576135 | + | 0.817355i | \(0.695440\pi\) | |||||||
\(614\) | −6.79843 | −0.274362 | ||||||||
\(615\) | 0.139376 | − | 0.231481i | 0.00562016 | − | 0.00933421i | ||||
\(616\) | −0.711947 | + | 2.19115i | −0.0286852 | + | 0.0882838i | ||||
\(617\) | 7.54642 | − | 10.3868i | 0.303807 | − | 0.418155i | −0.629630 | − | 0.776895i | \(-0.716794\pi\) |
0.933437 | + | 0.358740i | \(0.116794\pi\) | |||||||
\(618\) | 0.0339512 | + | 0.0467299i | 0.00136572 | + | 0.00187975i | ||||
\(619\) | −0.977191 | −0.0392766 | −0.0196383 | − | 0.999807i | \(-0.506251\pi\) | ||||
−0.0196383 | + | 0.999807i | \(0.506251\pi\) | |||||||
\(620\) | 9.18466 | + | 8.40488i | 0.368865 | + | 0.337548i | ||||
\(621\) | −0.708480 | −0.0284303 | ||||||||
\(622\) | 12.9566 | + | 17.8332i | 0.519512 | + | 0.715047i | ||||
\(623\) | 7.33743 | − | 10.0991i | 0.293968 | − | 0.404612i | ||||
\(624\) | 0.00498834 | − | 0.0153525i | 0.000199694 | − | 0.000614594i | ||||
\(625\) | −14.0554 | + | 20.6747i | −0.562217 | + | 0.826990i | ||||
\(626\) | −4.88915 | −0.195410 | ||||||||
\(627\) | 0.153125 | + | 0.0497533i | 0.00611522 | + | 0.00198696i | ||||
\(628\) | −12.7461 | + | 4.14147i | −0.508627 | + | 0.165263i | ||||
\(629\) | −8.91267 | − | 27.4304i | −0.355371 | − | 1.09372i | ||||
\(630\) | 10.6802 | − | 0.924568i | 0.425508 | − | 0.0368357i | ||||
\(631\) | −3.22329 | + | 9.92028i | −0.128317 | + | 0.394920i | −0.994491 | − | 0.104823i | \(-0.966572\pi\) |
0.866174 | + | 0.499743i | \(0.166572\pi\) | |||||||
\(632\) | −5.46968 | − | 7.52838i | −0.217572 | − | 0.299463i | ||||
\(633\) | −0.0681763 | + | 0.0938366i | −0.00270976 | + | 0.00372967i | ||||
\(634\) | −7.15690 | − | 22.0267i | −0.284237 | − | 0.874791i | ||||
\(635\) | −25.8116 | + | 10.9286i | −1.02430 | + | 0.433688i | ||||
\(636\) | 0.152337 | + | 0.110679i | 0.00604055 | + | 0.00438872i | ||||
\(637\) | 4.89029 | − | 1.58895i | 0.193760 | − | 0.0629566i | ||||
\(638\) | 7.07186 | − | 9.73358i | 0.279978 | − | 0.385356i | ||||
\(639\) | 12.5141 | − | 9.09204i | 0.495051 | − | 0.359675i | ||||
\(640\) | 1.46545 | + | 1.68892i | 0.0579270 | + | 0.0667605i | ||||
\(641\) | 11.1299 | − | 8.08637i | 0.439606 | − | 0.319392i | −0.345872 | − | 0.938282i | \(-0.612417\pi\) |
0.785478 | + | 0.618889i | \(0.212417\pi\) | |||||||
\(642\) | 0.0248472 | − | 0.00807334i | 0.000980640 | − | 0.000318629i | ||||
\(643\) | 11.5802 | − | 3.76264i | 0.456679 | − | 0.148384i | −0.0716387 | − | 0.997431i | \(-0.522823\pi\) |
0.528318 | + | 0.849046i | \(0.322823\pi\) | |||||||
\(644\) | −4.17823 | + | 12.8593i | −0.164645 | + | 0.506726i | ||||
\(645\) | 0.116068 | + | 0.0698848i | 0.00457016 | + | 0.00275171i | ||||
\(646\) | 39.5086 | 1.55445 | ||||||||
\(647\) | −14.0368 | − | 4.56084i | −0.551845 | − | 0.179305i | 0.0198037 | − | 0.999804i | \(-0.493696\pi\) |
−0.571648 | + | 0.820499i | \(0.693696\pi\) | |||||||
\(648\) | 5.28904 | − | 7.27973i | 0.207773 | − | 0.285975i | ||||
\(649\) | 7.29732 | − | 5.30181i | 0.286445 | − | 0.208114i | ||||
\(650\) | −2.70555 | − | 5.11090i | −0.106121 | − | 0.200466i | ||||
\(651\) | 0.0840499 | + | 0.0914333i | 0.00329417 | + | 0.00358356i | ||||
\(652\) | − | 20.6503i | − | 0.808730i | ||||||
\(653\) | 4.46639 | + | 6.14745i | 0.174783 | + | 0.240568i | 0.887417 | − | 0.460968i | \(-0.152498\pi\) |
−0.712634 | + | 0.701536i | \(0.752498\pi\) | |||||||
\(654\) | −0.136974 | − | 0.0995177i | −0.00535612 | − | 0.00389145i | ||||
\(655\) | −11.0744 | + | 9.60913i | −0.432714 | + | 0.375460i | ||||
\(656\) | −8.65766 | −0.338025 | ||||||||
\(657\) | − | 41.7446i | − | 1.62861i | ||||||
\(658\) | −12.5418 | − | 4.07508i | −0.488931 | − | 0.158863i | ||||
\(659\) | 12.0671 | + | 37.1387i | 0.470068 | + | 1.44672i | 0.852496 | + | 0.522734i | \(0.175088\pi\) |
−0.382428 | + | 0.923985i | \(0.624912\pi\) | |||||||
\(660\) | −0.0438291 | − | 0.0101609i | −0.00170605 | − | 0.000395513i | ||||
\(661\) | −19.5905 | + | 14.2333i | −0.761982 | + | 0.553612i | −0.899518 | − | 0.436884i | \(-0.856082\pi\) |
0.137536 | + | 0.990497i | \(0.456082\pi\) | |||||||
\(662\) | −7.05904 | − | 2.29362i | −0.274357 | − | 0.0891441i | ||||
\(663\) | 0.0468479 | + | 0.0644806i | 0.00181942 | + | 0.00250422i | ||||
\(664\) | −6.63789 | − | 4.82271i | −0.257600 | − | 0.187157i | ||||
\(665\) | −27.8569 | − | 6.45807i | −1.08024 | − | 0.250433i | ||||
\(666\) | 14.1768 | + | 10.3001i | 0.549340 | + | 0.399119i | ||||
\(667\) | 41.5029 | − | 57.1238i | 1.60700 | − | 2.21184i | ||||
\(668\) | −4.34949 | + | 1.41323i | −0.168287 | + | 0.0546797i | ||||
\(669\) | −0.222818 | − | 0.161887i | −0.00861463 | − | 0.00625890i | ||||
\(670\) | 29.5480 | − | 2.55793i | 1.14154 | − | 0.0988216i | ||||
\(671\) | 1.27860 | − | 3.93513i | 0.0493598 | − | 0.151914i | ||||
\(672\) | 0.0131112 | + | 0.0180460i | 0.000505776 | + | 0.000696140i | ||||
\(673\) | −2.19464 | + | 0.713082i | −0.0845972 | + | 0.0274873i | −0.351010 | − | 0.936372i | \(-0.614162\pi\) |
0.266413 | + | 0.963859i | \(0.414162\pi\) | |||||||
\(674\) | −1.88364 | − | 5.79724i | −0.0725550 | − | 0.223301i | ||||
\(675\) | 0.0719544 | + | 0.412477i | 0.00276953 | + | 0.0158763i | ||||
\(676\) | −11.6623 | −0.448552 | ||||||||
\(677\) | 11.9216i | 0.458186i | 0.973405 | + | 0.229093i | \(0.0735760\pi\) | ||||
−0.973405 | + | 0.229093i | \(0.926424\pi\) | |||||||
\(678\) | 0.134127 | + | 0.0435805i | 0.00515112 | + | 0.00167370i | ||||
\(679\) | −4.18286 | − | 3.03903i | −0.160523 | − | 0.116627i | ||||
\(680\) | −10.9992 | + | 0.952187i | −0.421800 | + | 0.0365147i | ||||
\(681\) | 0.206567 | 0.00791566 | ||||||||
\(682\) | 3.34008 | + | 7.29849i | 0.127898 | + | 0.279474i | ||||
\(683\) | 32.9433i | 1.26054i | 0.776376 | + | 0.630269i | \(0.217056\pi\) | ||||
−0.776376 | + | 0.630269i | \(0.782944\pi\) | |||||||
\(684\) | −19.4198 | + | 14.1093i | −0.742535 | + | 0.539483i | ||||
\(685\) | 3.61187 | − | 1.52926i | 0.138002 | − | 0.0584299i | ||||
\(686\) | −5.65266 | + | 17.3971i | −0.215820 | + | 0.664224i | ||||
\(687\) | 0.0124396i | 0.000474599i | ||||||||
\(688\) | − | 4.34107i | − | 0.165502i | ||||||
\(689\) | −4.82170 | + | 14.8397i | −0.183692 | + | 0.565346i | ||||
\(690\) | −0.257222 | − | 0.0596317i | −0.00979226 | − | 0.00227014i | ||||
\(691\) | −0.663085 | − | 2.04077i | −0.0252250 | − | 0.0776344i | 0.937652 | − | 0.347577i | \(-0.112995\pi\) |
−0.962877 | + | 0.269942i | \(0.912995\pi\) | |||||||
\(692\) | −6.78119 | − | 9.33351i | −0.257782 | − | 0.354807i | ||||
\(693\) | 6.57301 | + | 2.13570i | 0.249688 | + | 0.0811286i | ||||
\(694\) | −6.84083 | + | 4.97015i | −0.259674 | + | 0.188664i | ||||
\(695\) | −11.5759 | − | 27.3406i | −0.439100 | − | 1.03709i | ||||
\(696\) | −0.0359961 | − | 0.110785i | −0.00136443 | − | 0.00419928i | ||||
\(697\) | 25.1256 | − | 34.5825i | 0.951702 | − | 1.30990i | ||||
\(698\) | 1.13922 | − | 1.56800i | 0.0431200 | − | 0.0593496i | ||||
\(699\) | −0.0923638 | − | 0.284267i | −0.00349352 | − | 0.0107519i | ||||
\(700\) | 7.91102 | + | 1.12656i | 0.299008 | + | 0.0425799i | ||||
\(701\) | 8.54580 | − | 6.20889i | 0.322771 | − | 0.234507i | −0.414586 | − | 0.910010i | \(-0.636074\pi\) |
0.737357 | + | 0.675504i | \(0.236074\pi\) | |||||||
\(702\) | −0.0921123 | − | 0.0299291i | −0.00347655 | − | 0.00112960i | ||||
\(703\) | −27.4752 | − | 37.8163i | −1.03625 | − | 1.42627i | ||||
\(704\) | 0.445478 | + | 1.37104i | 0.0167896 | + | 0.0516730i | ||||
\(705\) | 0.0581597 | − | 0.250872i | 0.00219042 | − | 0.00944838i | ||||
\(706\) | 2.48215 | − | 7.63926i | 0.0934168 | − | 0.287507i | ||||
\(707\) | − | 0.531997i | − | 0.0200078i | ||||||
\(708\) | − | 0.0873302i | − | 0.00328207i | ||||||
\(709\) | −3.51469 | + | 10.8171i | −0.131997 | + | 0.406245i | −0.995111 | − | 0.0987643i | \(-0.968511\pi\) |
0.863114 | + | 0.505010i | \(0.168511\pi\) | |||||||
\(710\) | 10.6177 | − | 4.49549i | 0.398474 | − | 0.168713i | ||||
\(711\) | −22.5837 | + | 16.4080i | −0.846953 | + | 0.615348i | ||||
\(712\) | − | 7.81094i | − | 0.292727i | ||||||
\(713\) | 19.6020 | + | 42.8329i | 0.734102 | + | 1.60411i | ||||
\(714\) | −0.110134 | −0.00412166 | ||||||||
\(715\) | −0.321543 | − | 3.71432i | −0.0120250 | − | 0.138908i | ||||
\(716\) | 6.01198 | + | 4.36796i | 0.224678 | + | 0.163238i | ||||
\(717\) | −0.0926757 | − | 0.0301122i | −0.00346104 | − | 0.00112456i | ||||
\(718\) | 0.195841i | 0.00730874i | ||||||||
\(719\) | 14.5268 | 0.541759 | 0.270879 | − | 0.962613i | \(-0.412686\pi\) | ||||
0.270879 | + | 0.962613i | \(0.412686\pi\) | |||||||
\(720\) | 5.06643 | − | 4.39607i | 0.188815 | − | 0.163832i | ||||
\(721\) | −2.04380 | − | 6.29018i | −0.0761152 | − | 0.234258i | ||||
\(722\) | 42.8267 | − | 13.9152i | 1.59385 | − | 0.517872i | ||||
\(723\) | −0.146174 | − | 0.201191i | −0.00543625 | − | 0.00748236i | ||||
\(724\) | 2.06423 | − | 6.35303i | 0.0767163 | − | 0.236109i | ||||
\(725\) | −37.4726 | − | 18.3614i | −1.39170 | − | 0.681925i | ||||
\(726\) | 0.100742 | + | 0.0731936i | 0.00373890 | + | 0.00271647i | ||||
\(727\) | −15.9230 | + | 5.17371i | −0.590553 | + | 0.191882i | −0.589023 | − | 0.808116i | \(-0.700487\pi\) |
−0.00153043 | + | 0.999999i | \(0.500487\pi\) | |||||||
\(728\) | −1.08646 | + | 1.49538i | −0.0402667 | + | 0.0554224i | ||||
\(729\) | −21.8349 | − | 15.8640i | −0.808702 | − | 0.587556i | ||||
\(730\) | 7.02739 | − | 30.3127i | 0.260095 | − | 1.12192i | ||||
\(731\) | 17.3401 | + | 12.5983i | 0.641348 | + | 0.465966i | ||||
\(732\) | −0.0235467 | − | 0.0324092i | −0.000870311 | − | 0.00119788i | ||||
\(733\) | −25.2288 | − | 8.19734i | −0.931848 | − | 0.302776i | −0.196530 | − | 0.980498i | \(-0.562967\pi\) |
−0.735318 | + | 0.677722i | \(0.762967\pi\) | |||||||
\(734\) | −14.5069 | + | 10.5399i | −0.535460 | + | 0.389035i | ||||
\(735\) | −0.135169 | − | 0.0313362i | −0.00498577 | − | 0.00115585i | ||||
\(736\) | 2.61439 | + | 8.04627i | 0.0963677 | + | 0.296589i | ||||
\(737\) | 18.1851 | + | 5.90868i | 0.669855 | + | 0.217649i | ||||
\(738\) | 25.9713i | 0.956017i | ||||||||
\(739\) | −7.39741 | −0.272118 | −0.136059 | − | 0.990701i | \(-0.543444\pi\) | ||||
−0.136059 | + | 0.990701i | \(0.543444\pi\) | |||||||
\(740\) | 8.56050 | + | 9.86591i | 0.314690 | + | 0.362678i | ||||
\(741\) | 0.104502 | + | 0.0759253i | 0.00383899 | + | 0.00278919i | ||||
\(742\) | −12.6732 | − | 17.4431i | −0.465247 | − | 0.640358i | ||||
\(743\) | − | 0.878251i | − | 0.0322199i | −0.999870 | − | 0.0161099i | \(-0.994872\pi\) | ||
0.999870 | − | 0.0161099i | \(-0.00512818\pi\) | |||||||
\(744\) | 0.0761754 | + | 0.0153725i | 0.00279273 | + | 0.000563585i | ||||
\(745\) | 2.86149 | + | 1.72291i | 0.104837 | + | 0.0631226i | ||||
\(746\) | −6.72339 | + | 4.88483i | −0.246161 | + | 0.178846i | ||||
\(747\) | −14.4672 | + | 19.9124i | −0.529326 | + | 0.728555i | ||||
\(748\) | −6.76936 | − | 2.19950i | −0.247512 | − | 0.0804216i | ||||
\(749\) | −2.99151 | −0.109307 | ||||||||
\(750\) | −0.00859375 | + | 0.155811i | −0.000313800 | + | 0.00568941i | ||||
\(751\) | 2.50290 | − | 7.70312i | 0.0913320 | − | 0.281091i | −0.894948 | − | 0.446170i | \(-0.852788\pi\) |
0.986280 | + | 0.165079i | \(0.0527878\pi\) | |||||||
\(752\) | −7.84764 | + | 2.54985i | −0.286174 | + | 0.0929835i | ||||
\(753\) | 0.222071 | − | 0.0721552i | 0.00809271 | − | 0.00262948i | ||||
\(754\) | 7.80910 | − | 5.67364i | 0.284391 | − | 0.206622i | ||||
\(755\) | −11.0043 | + | 9.54828i | −0.400488 | + | 0.347497i | ||||
\(756\) | 0.108273 | − | 0.0786647i | 0.00393784 | − | 0.00286101i | ||||
\(757\) | 29.7732 | − | 40.9794i | 1.08213 | − | 1.48942i | 0.224969 | − | 0.974366i | \(-0.427772\pi\) |
0.857158 | − | 0.515054i | \(-0.172228\pi\) | |||||||
\(758\) | −7.73702 | + | 2.51391i | −0.281021 | + | 0.0913093i | ||||
\(759\) | −0.137718 | − | 0.100058i | −0.00499885 | − | 0.00363188i | ||||
\(760\) | −16.4768 | + | 6.97624i | −0.597677 | + | 0.253055i | ||||
\(761\) | 10.4315 | + | 32.1049i | 0.378142 | + | 1.16380i | 0.941334 | + | 0.337475i | \(0.109573\pi\) |
−0.563193 | + | 0.826326i | \(0.690427\pi\) | |||||||
\(762\) | −0.102839 | + | 0.141546i | −0.00372546 | + | 0.00512765i | ||||
\(763\) | 11.3951 | + | 15.6841i | 0.412532 | + | 0.567801i | ||||
\(764\) | 0.878847 | − | 2.70481i | 0.0317956 | − | 0.0978567i | ||||
\(765\) | 2.85637 | + | 32.9955i | 0.103272 | + | 1.19295i | ||||
\(766\) | 4.75459 | + | 14.6331i | 0.171790 | + | 0.528716i | ||||
\(767\) | 6.88241 | − | 2.23623i | 0.248509 | − | 0.0807456i | ||||
\(768\) | 0.0132742 | + | 0.00431305i | 0.000478992 | + | 0.000155634i | ||||
\(769\) | 44.9577 | 1.62121 | 0.810607 | − | 0.585590i | \(-0.199137\pi\) | ||||
0.810607 | + | 0.585590i | \(0.199137\pi\) | |||||||
\(770\) | 4.41344 | + | 2.65735i | 0.159049 | + | 0.0957643i | ||||
\(771\) | 0.0800540 | − | 0.246381i | 0.00288307 | − | 0.00887319i | ||||
\(772\) | −0.702986 | + | 0.967578i | −0.0253010 | + | 0.0348239i | ||||
\(773\) | 3.16794 | + | 4.36030i | 0.113943 | + | 0.156829i | 0.862179 | − | 0.506603i | \(-0.169099\pi\) |
−0.748236 | + | 0.663432i | \(0.769099\pi\) | |||||||
\(774\) | −13.0224 | −0.468079 | ||||||||
\(775\) | 22.9465 | − | 15.7625i | 0.824264 | − | 0.566206i | ||||
\(776\) | −3.23515 | −0.116135 | ||||||||
\(777\) | 0.0765897 | + | 0.105417i | 0.00274764 | + | 0.00378180i | ||||
\(778\) | 19.9097 | − | 27.4034i | 0.713798 | − | 0.982459i | ||||
\(779\) | 21.4081 | − | 65.8872i | 0.767023 | − | 2.36065i | ||||
\(780\) | −0.0309233 | − | 0.0186191i | −0.00110723 | − | 0.000666669i | ||||
\(781\) | 7.43349 | 0.265991 | ||||||||
\(782\) | −39.7276 | − | 12.9083i | −1.42066 | − | 0.461599i | ||||
\(783\) | −0.664687 | + | 0.215970i | −0.0237540 | + | 0.00771813i | ||||
\(784\) | 1.37385 | + | 4.22827i | 0.0490660 | + | 0.151010i | ||||
\(785\) | 2.58462 | + | 29.8563i | 0.0922491 | + | 1.06562i | ||||
\(786\) | −0.0282812 | + | 0.0870405i | −0.00100876 | + | 0.00310463i | ||||
\(787\) | 1.01738 | + | 1.40030i | 0.0362656 | + | 0.0499153i | 0.826765 | − | 0.562548i | \(-0.190179\pi\) |
−0.790499 | + | 0.612463i | \(0.790179\pi\) | |||||||
\(788\) | 3.46831 | − | 4.77372i | 0.123553 | − | 0.170057i | ||||
\(789\) | 0.0176895 | + | 0.0544428i | 0.000629764 | + | 0.00193821i | ||||
\(790\) | −19.1612 | + | 8.11281i | −0.681725 | + | 0.288641i | ||||
\(791\) | −13.0643 | − | 9.49180i | −0.464514 | − | 0.337489i | ||||
\(792\) | 4.11285 | − | 1.33635i | 0.146144 | − | 0.0474850i | ||||
\(793\) | 1.95119 | − | 2.68558i | 0.0692888 | − | 0.0953679i | ||||
\(794\) | 12.2591 | − | 8.90676i | 0.435059 | − | 0.316089i | ||||
\(795\) | 0.318022 | − | 0.275943i | 0.0112791 | − | 0.00978668i | ||||
\(796\) | 9.22558 | − | 6.70278i | 0.326992 | − | 0.237574i | ||||
\(797\) | 20.4057 | − | 6.63022i | 0.722808 | − | 0.234855i | 0.0755678 | − | 0.997141i | \(-0.475923\pi\) |
0.647240 | + | 0.762286i | \(0.275923\pi\) | |||||||
\(798\) | −0.169756 | + | 0.0551570i | −0.00600928 | + | 0.00195253i | ||||
\(799\) | 12.5896 | − | 38.7469i | 0.445389 | − | 1.37077i | ||||
\(800\) | 4.41902 | − | 2.33929i | 0.156236 | − | 0.0827064i | ||||
\(801\) | −23.4313 | −0.827904 | ||||||||
\(802\) | 14.6235 | + | 4.75146i | 0.516374 | + | 0.167780i | ||||
\(803\) | 11.7915 | − | 16.2296i | 0.416113 | − | 0.572730i | ||||
\(804\) | 0.149770 | − | 0.108814i | 0.00528198 | − | 0.00383758i | ||||
\(805\) | 25.9013 | + | 15.5953i | 0.912902 | + | 0.549662i | ||||
\(806\) | 0.739100 | + | 6.39695i | 0.0260337 | + | 0.225323i | ||||
\(807\) | 0.255586i | 0.00899707i | ||||||||
\(808\) | −0.195662 | − | 0.269305i | −0.00688335 | − | 0.00947412i | ||||
\(809\) | 24.0066 | + | 17.4418i | 0.844027 | + | 0.613221i | 0.923493 | − | 0.383616i | \(-0.125322\pi\) |
−0.0794660 | + | 0.996838i | \(0.525322\pi\) | |||||||
\(810\) | −13.1865 | − | 15.1973i | −0.463326 | − | 0.533980i | ||||
\(811\) | −19.6603 | −0.690367 | −0.345184 | − | 0.938535i | \(-0.612183\pi\) | ||||
−0.345184 | + | 0.938535i | \(0.612183\pi\) | |||||||
\(812\) | 13.3381i | 0.468075i | ||||||||
\(813\) | −0.0385185 | − | 0.0125154i | −0.00135090 | − | 0.000438935i | ||||
\(814\) | 2.60228 | + | 8.00898i | 0.0912098 | + | 0.280715i | ||||
\(815\) | −44.9826 | − | 10.4283i | −1.57567 | − | 0.365288i | ||||
\(816\) | −0.0557516 | + | 0.0405059i | −0.00195170 | + | 0.00141799i | ||||
\(817\) | 33.0367 | + | 10.7343i | 1.15581 | + | 0.375545i | ||||
\(818\) | 18.4503 | + | 25.3947i | 0.645100 | + | 0.887904i | ||||
\(819\) | 4.48584 | + | 3.25916i | 0.156748 | + | 0.113884i | ||||
\(820\) | −4.37208 | + | 18.8590i | −0.152680 | + | 0.658584i | ||||
\(821\) | −5.76616 | − | 4.18936i | −0.201240 | − | 0.146210i | 0.482601 | − | 0.875840i | \(-0.339692\pi\) |
−0.683842 | + | 0.729631i | \(0.739692\pi\) | |||||||
\(822\) | 0.0143904 | − | 0.0198067i | 0.000501923 | − | 0.000690838i | ||||
\(823\) | 17.5436 | − | 5.70027i | 0.611532 | − | 0.198699i | 0.0131549 | − | 0.999913i | \(-0.495813\pi\) |
0.598377 | + | 0.801215i | \(0.295813\pi\) | |||||||
\(824\) | −3.34805 | − | 2.43250i | −0.116635 | − | 0.0847403i | ||||
\(825\) | −0.0442670 | + | 0.0903416i | −0.00154118 | + | 0.00314529i | ||||
\(826\) | −3.09006 | + | 9.51021i | −0.107517 | + | 0.330903i | ||||
\(827\) | −17.3535 | − | 23.8850i | −0.603440 | − | 0.830564i | 0.392578 | − | 0.919719i | \(-0.371583\pi\) |
−0.996018 | + | 0.0891547i | \(0.971583\pi\) | |||||||
\(828\) | 24.1372 | − | 7.84266i | 0.838827 | − | 0.272551i | ||||
\(829\) | 16.1902 | + | 49.8283i | 0.562309 | + | 1.73061i | 0.675816 | + | 0.737071i | \(0.263792\pi\) |
−0.113507 | + | 0.993537i | \(0.536208\pi\) | |||||||
\(830\) | −13.8574 | + | 12.0238i | −0.480997 | + | 0.417354i | ||||
\(831\) | 0.0933830 | 0.00323942 | ||||||||
\(832\) | 1.15657i | 0.0400968i | ||||||||
\(833\) | −20.8766 | − | 6.78323i | −0.723333 | − | 0.235025i | ||||
\(834\) | −0.149930 | − | 0.108930i | −0.00519165 | − | 0.00377195i | ||||
\(835\) | 0.881975 | + | 10.1882i | 0.0305220 | + | 0.352576i | ||||
\(836\) | −11.5355 | −0.398965 | ||||||||
\(837\) | 0.0922322 | − | 0.457038i | 0.00318801 | − | 0.0157975i | ||||
\(838\) | 20.9638i | 0.724183i | ||||||||
\(839\) | −17.6657 | + | 12.8349i | −0.609888 | + | 0.443110i | −0.849375 | − | 0.527790i | \(-0.823021\pi\) |
0.239487 | + | 0.970900i | \(0.423021\pi\) | |||||||
\(840\) | 0.0459307 | − | 0.0194469i | 0.00158476 | − | 0.000670983i | ||||
\(841\) | 12.5626 | − | 38.6638i | 0.433194 | − | 1.33323i | ||||
\(842\) | − | 12.1565i | − | 0.418940i | ||||||
\(843\) | 0.0310337i | 0.00106886i | ||||||||
\(844\) | 2.56800 | − | 7.90349i | 0.0883942 | − | 0.272049i | ||||
\(845\) | −5.88943 | + | 25.4041i | −0.202602 | + | 0.873926i | ||||
\(846\) | 7.64906 | + | 23.5414i | 0.262980 | + | 0.809369i | ||||
\(847\) | −8.38094 | − | 11.5354i | −0.287973 | − | 0.396360i | ||||
\(848\) | −12.8307 | − | 4.16896i | −0.440610 | − | 0.143163i | ||||
\(849\) | −0.259859 | + | 0.188799i | −0.00891834 | + | 0.00647956i | ||||
\(850\) | −3.48040 | + | 24.4404i | −0.119377 | + | 0.838299i | ||||
\(851\) | 15.2721 | + | 47.0026i | 0.523520 | + | 1.61123i | ||||
\(852\) | 0.0423029 | − | 0.0582250i | 0.00144927 | − | 0.00199475i | ||||
\(853\) | −8.49116 | + | 11.6871i | −0.290732 | + | 0.400158i | −0.929252 | − | 0.369447i | \(-0.879547\pi\) |
0.638520 | + | 0.769605i | \(0.279547\pi\) | |||||||
\(854\) | 1.41747 | + | 4.36252i | 0.0485047 | + | 0.149282i | ||||
\(855\) | 20.9274 | + | 49.4272i | 0.715701 | + | 1.69038i | ||||
\(856\) | −1.51435 | + | 1.10024i | −0.0517594 | + | 0.0376054i | ||||
\(857\) | −34.5576 | − | 11.2285i | −1.18047 | − | 0.383557i | −0.347926 | − | 0.937522i | \(-0.613114\pi\) |
−0.832540 | + | 0.553965i | \(0.813114\pi\) | |||||||
\(858\) | −0.0136784 | − | 0.0188267i | −0.000466974 | − | 0.000642734i | ||||
\(859\) | 11.8282 | + | 36.4036i | 0.403574 | + | 1.24207i | 0.922080 | + | 0.387000i | \(0.126489\pi\) |
−0.518505 | + | 0.855074i | \(0.673511\pi\) | |||||||
\(860\) | −9.45614 | − | 2.19222i | −0.322452 | − | 0.0747540i | ||||
\(861\) | −0.0596770 | + | 0.183667i | −0.00203379 | + | 0.00625935i | ||||
\(862\) | 27.3630i | 0.931988i | ||||||||
\(863\) | 20.9597i | 0.713476i | 0.934204 | + | 0.356738i | \(0.116111\pi\) | ||||
−0.934204 | + | 0.356738i | \(0.883889\pi\) | |||||||
\(864\) | 0.0258775 | − | 0.0796426i | 0.000880369 | − | 0.00270950i | ||||
\(865\) | −23.7556 | + | 10.0581i | −0.807715 | + | 0.341985i | ||||
\(866\) | 29.6749 | − | 21.5601i | 1.00839 | − | 0.732642i | ||||
\(867\) | − | 0.102975i | − | 0.00349722i | ||||||
\(868\) | −7.75153 | − | 4.36942i | −0.263104 | − | 0.148308i | ||||
\(869\) | −13.4149 | −0.455069 | ||||||||
\(870\) | −0.259500 | + | 0.0224646i | −0.00879787 | + | 0.000761620i | ||||
\(871\) | 12.4106 | + | 9.01686i | 0.420519 | + | 0.305525i | ||||
\(872\) | 11.5368 | + | 3.74854i | 0.390686 | + | 0.126941i | ||||
\(873\) | 9.70481i | 0.328458i | ||||||||
\(874\) | −67.6990 | −2.28995 | ||||||||
\(875\) | 6.44900 | − | 16.6636i | 0.218016 | − | 0.563334i | ||||
\(876\) | −0.0600194 | − | 0.184721i | −0.00202787 | − | 0.00624113i | ||||
\(877\) | −17.6732 | + | 5.74235i | −0.596780 | + | 0.193906i | −0.591804 | − | 0.806082i | \(-0.701584\pi\) |
−0.00497614 | + | 0.999988i | \(0.501584\pi\) | |||||||
\(878\) | −0.559537 | − | 0.770137i | −0.0188835 | − | 0.0259909i | ||||
\(879\) | −0.0366329 | + | 0.112744i | −0.00123560 | + | 0.00380277i | ||||
\(880\) | 3.21149 | − | 0.278015i | 0.108259 | − | 0.00937187i | ||||
\(881\) | 34.1104 | + | 24.7826i | 1.14921 | + | 0.834948i | 0.988375 | − | 0.152034i | \(-0.0485824\pi\) |
0.160832 | + | 0.986982i | \(0.448582\pi\) | |||||||
\(882\) | 12.6840 | − | 4.12128i | 0.427092 | − | 0.138771i | ||||
\(883\) | −13.0246 | + | 17.9268i | −0.438311 | + | 0.603284i | −0.969836 | − | 0.243759i | \(-0.921619\pi\) |
0.531524 | + | 0.847043i | \(0.321619\pi\) | |||||||
\(884\) | −4.61984 | − | 3.35651i | −0.155382 | − | 0.112892i | ||||
\(885\) | −0.190231 | − | 0.0441013i | −0.00639455 | − | 0.00148245i | ||||
\(886\) | −27.7270 | − | 20.1448i | −0.931506 | − | 0.676779i | ||||
\(887\) | 0.106667 | + | 0.146815i | 0.00358153 | + | 0.00492956i | 0.810804 | − | 0.585318i | \(-0.199030\pi\) |
−0.807222 | + | 0.590247i | \(0.799030\pi\) | |||||||
\(888\) | 0.0775418 | + | 0.0251949i | 0.00260213 | + | 0.000845485i | ||||
\(889\) | 16.2075 | − | 11.7754i | 0.543582 | − | 0.394935i | ||||
\(890\) | −17.0146 | − | 3.94449i | −0.570329 | − | 0.132219i | ||||
\(891\) | −4.00852 | − | 12.3369i | −0.134290 | − | 0.413303i | ||||
\(892\) | 18.7671 | + | 6.09779i | 0.628368 | + | 0.204169i | ||||
\(893\) | − | 66.0278i | − | 2.20954i | ||||||
\(894\) | 0.0208488 | 0.000697289 | ||||||||
\(895\) | 12.5507 | − | 10.8901i | 0.419525 | − | 0.364015i | ||||
\(896\) | −1.29294 | − | 0.939378i | −0.0431942 | − | 0.0313824i | ||||
\(897\) | −0.0802751 | − | 0.110489i | −0.00268031 | − | 0.00368913i | ||||
\(898\) | 35.4564i | 1.18320i | ||||||||
\(899\) | 31.4474 | + | 34.2099i | 1.04883 | + | 1.14097i | ||||
\(900\) | −7.01742 | − | 13.2562i | −0.233914 | − | 0.441873i | ||||
\(901\) | 53.8891 | − | 39.1527i | 1.79531 | − | 1.30437i | ||||
\(902\) | −7.33606 | + | 10.0972i | −0.244264 | + | 0.336201i | ||||
\(903\) | −0.0920931 | − | 0.0299229i | −0.00306467 | − | 0.000995770i | ||||
\(904\) | −10.1043 | −0.336065 | ||||||||
\(905\) | −12.7964 | − | 7.70475i | −0.425366 | − | 0.256114i | ||||
\(906\) | −0.0281021 | + | 0.0864892i | −0.000933628 | + | 0.00287341i | ||||
\(907\) | 16.5362 | − | 5.37294i | 0.549076 | − | 0.178406i | −0.0213239 | − | 0.999773i | \(-0.506788\pi\) |
0.570400 | + | 0.821367i | \(0.306788\pi\) | |||||||
\(908\) | −14.0755 | + | 4.57342i | −0.467113 | + | 0.151774i | ||||
\(909\) | −0.807863 | + | 0.586947i | −0.0267951 | + | 0.0194678i | ||||
\(910\) | 2.70872 | + | 3.12178i | 0.0897933 | + | 0.103486i | ||||
\(911\) | 36.4749 | − | 26.5005i | 1.20847 | − | 0.878002i | 0.213375 | − | 0.976970i | \(-0.431554\pi\) |
0.995091 | + | 0.0989686i | \(0.0315543\pi\) | |||||||
\(912\) | −0.0656470 | + | 0.0903553i | −0.00217379 | + | 0.00299196i | ||||
\(913\) | −11.2492 | + | 3.65509i | −0.372294 | + | 0.120966i | ||||
\(914\) | −26.0029 | − | 18.8922i | −0.860100 | − | 0.624899i | ||||
\(915\) | −0.0824879 | + | 0.0349252i | −0.00272697 | + | 0.00115459i | ||||
\(916\) | −0.275414 | − | 0.847637i | −0.00909993 | − | 0.0280067i | ||||
\(917\) | 6.15961 | − | 8.47797i | 0.203408 | − | 0.279967i | ||||
\(918\) | 0.243028 | + | 0.334499i | 0.00802111 | + | 0.0110401i | ||||
\(919\) | 6.07527 | − | 18.6978i | 0.200405 | − | 0.616782i | −0.799466 | − | 0.600711i | \(-0.794884\pi\) |
0.999871 | − | 0.0160710i | \(-0.00511578\pi\) | |||||||
\(920\) | 18.8474 | − | 1.63160i | 0.621381 | − | 0.0537921i | ||||
\(921\) | 0.0293220 | + | 0.0902437i | 0.000966192 | + | 0.00297363i | ||||
\(922\) | 23.0562 | − | 7.49143i | 0.759317 | − | 0.246717i | ||||
\(923\) | 5.67189 | + | 1.84291i | 0.186692 | + | 0.0606601i | ||||
\(924\) | 0.0321564 | 0.00105787 | ||||||||
\(925\) | 25.8139 | − | 13.6651i | 0.848755 | − | 0.449305i | ||||
\(926\) | −1.98156 | + | 6.09862i | −0.0651181 | + | 0.200413i | ||||
\(927\) | −7.29704 | + | 10.0435i | −0.239666 | + | 0.329872i | ||||
\(928\) | 4.90558 | + | 6.75195i | 0.161033 | + | 0.221644i | ||||
\(929\) | −27.3436 | −0.897116 | −0.448558 | − | 0.893754i | \(-0.648062\pi\) | ||||
−0.448558 | + | 0.893754i | \(0.648062\pi\) | |||||||
\(930\) | 0.0719542 | − | 0.158170i | 0.00235947 | − | 0.00518659i | ||||
\(931\) | −35.5755 | −1.16594 | ||||||||
\(932\) | 12.5874 | + | 17.3251i | 0.412314 | + | 0.567502i | ||||
\(933\) | 0.180839 | − | 0.248904i | 0.00592042 | − | 0.00814875i | ||||
\(934\) | 5.65606 | − | 17.4076i | 0.185072 | − | 0.569593i | ||||
\(935\) | −8.20965 | + | 13.6349i | −0.268484 | + | 0.445910i | ||||
\(936\) | 3.46948 | 0.113404 | ||||||||
\(937\) | −13.4908 | − | 4.38344i | −0.440726 | − | 0.143201i | 0.0802443 | − | 0.996775i | \(-0.474430\pi\) |
−0.520971 | + | 0.853575i | \(0.674430\pi\) | |||||||
\(938\) | −20.1601 | + | 6.55042i | −0.658251 | + | 0.213879i | ||||
\(939\) | 0.0210872 | + | 0.0648996i | 0.000688154 | + | 0.00211792i | ||||
\(940\) | 1.59132 | + | 18.3821i | 0.0519031 | + | 0.599560i | ||||
\(941\) | 0.653695 | − | 2.01187i | 0.0213098 | − | 0.0655849i | −0.939836 | − | 0.341626i | \(-0.889022\pi\) |
0.961146 | + | 0.276041i | \(0.0890225\pi\) | |||||||
\(942\) | 0.109950 | + | 0.151333i | 0.00358235 | + | 0.00493068i | ||||
\(943\) | −43.0534 | + | 59.2579i | −1.40201 | + | 1.92970i | ||||
\(944\) | 1.93350 | + | 5.95071i | 0.0629301 | + | 0.193679i | ||||
\(945\) | −0.116678 | − | 0.275575i | −0.00379553 | − | 0.00896446i | ||||
\(946\) | −5.06288 | − | 3.67840i | −0.164609 | − | 0.119595i | ||||
\(947\) | −47.4614 | + | 15.4212i | −1.54229 | + | 0.501120i | −0.952007 | − | 0.306077i | \(-0.900984\pi\) |
−0.590282 | + | 0.807197i | \(0.700984\pi\) | |||||||
\(948\) | −0.0763422 | + | 0.105076i | −0.00247948 | + | 0.00341271i | ||||
\(949\) | 13.0208 | − | 9.46014i | 0.422672 | − | 0.307089i | ||||
\(950\) | 6.87562 | + | 39.4144i | 0.223075 | + | 1.27877i | ||||
\(951\) | −0.261518 | + | 0.190004i | −0.00848032 | + | 0.00616131i | ||||
\(952\) | 7.50457 | − | 2.43838i | 0.243225 | − | 0.0790284i | ||||
\(953\) | 12.8520 | − | 4.17586i | 0.416316 | − | 0.135269i | −0.0933666 | − | 0.995632i | \(-0.529763\pi\) |
0.509683 | + | 0.860363i | \(0.329763\pi\) | |||||||
\(954\) | −12.5061 | + | 38.4897i | −0.404899 | + | 1.24615i | ||||
\(955\) | −5.44807 | − | 3.28031i | −0.176295 | − | 0.106148i | ||||
\(956\) | 6.98164 | 0.225802 | ||||||||
\(957\) | −0.159707 | − | 0.0518919i | −0.00516259 | − | 0.00167743i | ||||
\(958\) | −16.2565 | + | 22.3752i | −0.525225 | + | 0.722910i | ||||
\(959\) | −2.26794 | + | 1.64776i | −0.0732357 | + | 0.0532088i | ||||
\(960\) | 0.0160985 | − | 0.0267371i | 0.000519577 | − | 0.000862936i | ||||
\(961\) | −30.1832 | + | 7.06907i | −0.973653 | + | 0.228035i | ||||
\(962\) | 6.75615i | 0.217827i | ||||||||
\(963\) | 3.30051 | + | 4.54276i | 0.106357 | + | 0.146388i | ||||
\(964\) | 14.4147 | + | 10.4729i | 0.464266 | + | 0.337309i | ||||
\(965\) | 1.75267 | + | 2.01994i | 0.0564204 | + | 0.0650240i | ||||
\(966\) | 0.188717 | 0.00607188 | ||||||||
\(967\) | 24.9239i | 0.801498i | 0.916188 | + | 0.400749i | \(0.131250\pi\) | ||||
−0.916188 | + | 0.400749i | \(0.868750\pi\) | |||||||
\(968\) | −8.48514 | − | 2.75699i | −0.272723 | − | 0.0886130i | ||||
\(969\) | −0.170403 | − | 0.524445i | −0.00547412 | − | 0.0168476i | ||||
\(970\) | −1.63373 | + | 7.04711i | −0.0524560 | + | 0.226269i | ||||
\(971\) | 8.74574 | − | 6.35415i | 0.280664 | − | 0.203914i | −0.438543 | − | 0.898710i | \(-0.644505\pi\) |
0.719207 | + | 0.694796i | \(0.244505\pi\) | |||||||
\(972\) | −0.358372 | − | 0.116442i | −0.0114948 | − | 0.00373489i | ||||
\(973\) | 12.4729 | + | 17.1675i | 0.399864 | + | 0.550366i | ||||
\(974\) | 27.5174 | + | 19.9926i | 0.881715 | + | 0.640603i | ||||
\(975\) | −0.0561740 | + | 0.0579576i | −0.00179901 | + | 0.00185613i | ||||
\(976\) | 2.32202 | + | 1.68705i | 0.0743262 | + | 0.0540011i | ||||
\(977\) | −25.9404 | + | 35.7039i | −0.829908 | + | 1.14227i | 0.158032 | + | 0.987434i | \(0.449485\pi\) |
−0.987940 | + | 0.154836i | \(0.950515\pi\) | |||||||
\(978\) | −0.274117 | + | 0.0890659i | −0.00876529 | + | 0.00284801i | ||||
\(979\) | −9.10971 | − | 6.61859i | −0.291147 | − | 0.211531i | ||||
\(980\) | 9.90422 | − | 0.857395i | 0.316379 | − | 0.0273885i | ||||
\(981\) | 11.2449 | − | 34.6082i | 0.359021 | − | 1.10495i | ||||
\(982\) | −24.2798 | − | 33.4183i | −0.774799 | − | 1.06642i | ||||
\(983\) | −0.522020 | + | 0.169615i | −0.0166499 | + | 0.00540987i | −0.317330 | − | 0.948315i | \(-0.602786\pi\) |
0.300680 | + | 0.953725i | \(0.402786\pi\) | |||||||
\(984\) | 0.0373409 | + | 0.114924i | 0.00119039 | + | 0.00366363i | ||||
\(985\) | −8.64710 | − | 9.96571i | −0.275519 | − | 0.317534i | ||||
\(986\) | −41.2068 | −1.31229 | ||||||||
\(987\) | 0.184059i | 0.00585865i | ||||||||
\(988\) | −8.80182 | − | 2.85988i | −0.280023 | − | 0.0909850i | ||||
\(989\) | −29.7127 | − | 21.5876i | −0.944810 | − | 0.686445i | ||||
\(990\) | −0.833990 | − | 9.63386i | −0.0265059 | − | 0.306184i | ||||
\(991\) | −17.3902 | −0.552419 | −0.276209 | − | 0.961097i | \(-0.589078\pi\) | ||||
−0.276209 | + | 0.961097i | \(0.589078\pi\) | |||||||
\(992\) | −5.53097 | + | 0.639045i | −0.175608 | + | 0.0202897i | ||||
\(993\) | 0.103596i | 0.00328751i | ||||||||
\(994\) | −6.66697 | + | 4.84384i | −0.211464 | + | 0.153637i | ||||
\(995\) | −9.94177 | − | 23.4809i | −0.315175 | − | 0.744396i | ||||
\(996\) | −0.0353881 | + | 0.108913i | −0.00112131 | + | 0.00345105i | ||||
\(997\) | − | 35.0884i | − | 1.11126i | −0.831429 | − | 0.555631i | \(-0.812477\pi\) | ||
0.831429 | − | 0.555631i | \(-0.187523\pi\) | |||||||
\(998\) | − | 8.54447i | − | 0.270470i | ||||||
\(999\) | 0.151164 | − | 0.465236i | 0.00478263 | − | 0.0147194i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 310.2.n.a.109.13 | yes | 64 | |
5.4 | even | 2 | inner | 310.2.n.a.109.4 | ✓ | 64 | |
31.2 | even | 5 | inner | 310.2.n.a.219.4 | yes | 64 | |
155.64 | even | 10 | inner | 310.2.n.a.219.13 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
310.2.n.a.109.4 | ✓ | 64 | 5.4 | even | 2 | inner | |
310.2.n.a.109.13 | yes | 64 | 1.1 | even | 1 | trivial | |
310.2.n.a.219.4 | yes | 64 | 31.2 | even | 5 | inner | |
310.2.n.a.219.13 | yes | 64 | 155.64 | even | 10 | inner |