Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [71,2,Mod(2,71)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(71, base_ring=CyclotomicField(70))
chi = DirichletCharacter(H, H._module([6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("71.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 71 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 71.g (of order \(35\), degree \(24\), 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: | \(0.566937854351\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{35})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{35}]$ |
Embedding invariants
Embedding label | 16.4 | ||
Character | \(\chi\) | \(=\) | 71.16 |
Dual form | 71.2.g.a.40.4 |
$q$-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 \(\left(\mathbb{Z}/71\mathbb{Z}\right)^\times\).
\(n\) | \(7\) |
\(\chi(n)\) | \(e\left(\frac{12}{35}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.855091 | + | 0.155176i | 0.604641 | + | 0.109726i | 0.472240 | − | 0.881470i | \(-0.343446\pi\) |
0.132401 | + | 0.991196i | \(0.457731\pi\) | |||||||
\(3\) | 1.08384 | − | 0.299122i | 0.625758 | − | 0.172698i | 0.0612453 | − | 0.998123i | \(-0.480493\pi\) |
0.564512 | + | 0.825425i | \(0.309064\pi\) | |||||||
\(4\) | −1.16537 | − | 0.437370i | −0.582685 | − | 0.218685i | ||||
\(5\) | −0.0956992 | + | 0.294532i | −0.0427980 | + | 0.131719i | −0.970172 | − | 0.242416i | \(-0.922060\pi\) |
0.927374 | + | 0.374135i | \(0.122060\pi\) | |||||||
\(6\) | 0.973202 | − | 0.0875897i | 0.397308 | − | 0.0357584i | ||||
\(7\) | 0.492368 | + | 0.914973i | 0.186098 | + | 0.345827i | 0.956501 | − | 0.291730i | \(-0.0942307\pi\) |
−0.770403 | + | 0.637557i | \(0.779945\pi\) | |||||||
\(8\) | −2.42071 | − | 1.44631i | −0.855850 | − | 0.511346i | ||||
\(9\) | −1.49010 | + | 0.890295i | −0.496701 | + | 0.296765i | ||||
\(10\) | −0.127536 | + | 0.237001i | −0.0403304 | + | 0.0749464i | ||||
\(11\) | −0.439406 | + | 1.02804i | −0.132486 | + | 0.309966i | −0.972616 | − | 0.232419i | \(-0.925336\pi\) |
0.840130 | + | 0.542385i | \(0.182479\pi\) | |||||||
\(12\) | −1.39391 | − | 0.125454i | −0.402386 | − | 0.0362154i | ||||
\(13\) | −0.459789 | − | 1.07573i | −0.127523 | − | 0.298354i | 0.843585 | − | 0.536995i | \(-0.180441\pi\) |
−0.971108 | + | 0.238642i | \(0.923298\pi\) | |||||||
\(14\) | 0.279038 | + | 0.858789i | 0.0745759 | + | 0.229521i | ||||
\(15\) | −0.0156221 | + | 0.347852i | −0.00403360 | + | 0.0898151i | ||||
\(16\) | 0.0292626 | + | 0.0255660i | 0.00731566 | + | 0.00639150i | ||||
\(17\) | 2.35973 | − | 1.71444i | 0.572319 | − | 0.415814i | −0.263628 | − | 0.964624i | \(-0.584919\pi\) |
0.835947 | + | 0.548811i | \(0.184919\pi\) | |||||||
\(18\) | −1.41233 | + | 0.530055i | −0.332888 | + | 0.124935i | ||||
\(19\) | −0.0701640 | − | 1.56232i | −0.0160967 | − | 0.358422i | −0.990836 | − | 0.135074i | \(-0.956873\pi\) |
0.974739 | − | 0.223348i | \(-0.0716986\pi\) | |||||||
\(20\) | 0.240344 | − | 0.301382i | 0.0537426 | − | 0.0673911i | ||||
\(21\) | 0.807339 | + | 0.844410i | 0.176176 | + | 0.184265i | ||||
\(22\) | −0.535259 | + | 0.810883i | −0.114118 | + | 0.172881i | ||||
\(23\) | −4.59556 | − | 2.21310i | −0.958239 | − | 0.461464i | −0.111672 | − | 0.993745i | \(-0.535621\pi\) |
−0.846568 | + | 0.532281i | \(0.821335\pi\) | |||||||
\(24\) | −3.05629 | − | 0.843483i | −0.623863 | − | 0.172175i | ||||
\(25\) | 3.96749 | + | 2.88255i | 0.793499 | + | 0.576511i | ||||
\(26\) | −0.226234 | − | 0.991195i | −0.0443681 | − | 0.194389i | ||||
\(27\) | −3.67975 | + | 3.84871i | −0.708168 | + | 0.740685i | ||||
\(28\) | −0.173608 | − | 1.28163i | −0.0328089 | − | 0.242205i | ||||
\(29\) | 0.540678 | + | 0.819093i | 0.100401 | + | 0.152102i | 0.881302 | − | 0.472554i | \(-0.156668\pi\) |
−0.780900 | + | 0.624656i | \(0.785239\pi\) | |||||||
\(30\) | −0.0673367 | + | 0.295021i | −0.0122939 | + | 0.0538633i | ||||
\(31\) | 6.20260 | − | 5.41905i | 1.11402 | − | 0.973290i | 0.114223 | − | 0.993455i | \(-0.463562\pi\) |
0.999797 | + | 0.0201655i | \(0.00641931\pi\) | |||||||
\(32\) | 3.53737 | + | 4.43572i | 0.625324 | + | 0.784132i | ||||
\(33\) | −0.168738 | + | 1.24567i | −0.0293735 | + | 0.216844i | ||||
\(34\) | 2.28382 | − | 1.09983i | 0.391673 | − | 0.188620i | ||||
\(35\) | −0.316608 | + | 0.0574559i | −0.0535165 | + | 0.00971182i | ||||
\(36\) | 2.12591 | − | 0.385795i | 0.354318 | − | 0.0642992i | ||||
\(37\) | 7.16273 | − | 3.44939i | 1.17755 | − | 0.567076i | 0.260350 | − | 0.965514i | \(-0.416162\pi\) |
0.917195 | + | 0.398438i | \(0.130448\pi\) | |||||||
\(38\) | 0.182439 | − | 1.34682i | 0.0295955 | − | 0.218482i | ||||
\(39\) | −0.820114 | − | 1.02839i | −0.131323 | − | 0.164674i | ||||
\(40\) | 0.657643 | − | 0.574566i | 0.103983 | − | 0.0908468i | ||||
\(41\) | −2.17354 | + | 9.52291i | −0.339450 | + | 1.48723i | 0.460768 | + | 0.887521i | \(0.347574\pi\) |
−0.800218 | + | 0.599709i | \(0.795283\pi\) | |||||||
\(42\) | 0.559316 | + | 0.847327i | 0.0863043 | + | 0.130745i | ||||
\(43\) | −0.0638595 | − | 0.471430i | −0.00973848 | − | 0.0718923i | 0.985428 | − | 0.170091i | \(-0.0544062\pi\) |
−0.995167 | + | 0.0981987i | \(0.968692\pi\) | |||||||
\(44\) | 0.961705 | − | 1.00586i | 0.144982 | − | 0.151640i | ||||
\(45\) | −0.119619 | − | 0.524083i | −0.0178317 | − | 0.0781257i | ||||
\(46\) | −3.58620 | − | 2.60552i | −0.528756 | − | 0.384164i | ||||
\(47\) | −2.69699 | − | 0.744323i | −0.393397 | − | 0.108571i | 0.0637411 | − | 0.997966i | \(-0.479697\pi\) |
−0.457138 | + | 0.889396i | \(0.651125\pi\) | |||||||
\(48\) | 0.0393635 | + | 0.0189565i | 0.00568163 | + | 0.00273613i | ||||
\(49\) | 3.26153 | − | 4.94101i | 0.465933 | − | 0.705858i | ||||
\(50\) | 2.94526 | + | 3.08051i | 0.416523 | + | 0.435649i | ||||
\(51\) | 2.04475 | − | 2.56404i | 0.286323 | − | 0.359037i | ||||
\(52\) | 0.0653316 | + | 1.45472i | 0.00905986 | + | 0.201733i | ||||
\(53\) | −4.16921 | + | 1.56473i | −0.572685 | + | 0.214932i | −0.620880 | − | 0.783906i | \(-0.713225\pi\) |
0.0481951 | + | 0.998838i | \(0.484653\pi\) | |||||||
\(54\) | −3.74375 | + | 2.71999i | −0.509459 | + | 0.370144i | ||||
\(55\) | −0.260740 | − | 0.227802i | −0.0351582 | − | 0.0307168i | ||||
\(56\) | 0.131452 | − | 2.92700i | 0.0175660 | − | 0.391137i | ||||
\(57\) | −0.543372 | − | 1.67233i | −0.0719714 | − | 0.221505i | ||||
\(58\) | 0.335225 | + | 0.784299i | 0.0440173 | + | 0.102984i | ||||
\(59\) | −6.33138 | − | 0.569835i | −0.824276 | − | 0.0741862i | −0.330533 | − | 0.943794i | \(-0.607229\pi\) |
−0.493743 | + | 0.869608i | \(0.664371\pi\) | |||||||
\(60\) | 0.170346 | − | 0.398544i | 0.0219915 | − | 0.0514518i | ||||
\(61\) | −3.68231 | + | 6.84288i | −0.471472 | + | 0.876141i | 0.528164 | + | 0.849142i | \(0.322881\pi\) |
−0.999635 | + | 0.0269985i | \(0.991405\pi\) | |||||||
\(62\) | 6.14469 | − | 3.67128i | 0.780377 | − | 0.466253i | ||||
\(63\) | −1.54828 | − | 0.925051i | −0.195064 | − | 0.116546i | ||||
\(64\) | 2.29963 | + | 4.27342i | 0.287453 | + | 0.534178i | ||||
\(65\) | 0.360838 | − | 0.0324760i | 0.0447565 | − | 0.00402816i | ||||
\(66\) | −0.337585 | + | 1.03898i | −0.0415538 | + | 0.127889i | ||||
\(67\) | −7.92815 | − | 2.97548i | −0.968578 | − | 0.363513i | −0.183575 | − | 0.983006i | \(-0.558767\pi\) |
−0.785003 | + | 0.619492i | \(0.787338\pi\) | |||||||
\(68\) | −3.49980 | + | 0.965884i | −0.424414 | + | 0.117131i | ||||
\(69\) | −5.64285 | − | 1.02403i | −0.679320 | − | 0.123278i | ||||
\(70\) | −0.279644 | −0.0334239 | ||||||||
\(71\) | −8.33511 | − | 1.23527i | −0.989196 | − | 0.146599i | ||||
\(72\) | 4.89474 | 0.576851 | ||||||||
\(73\) | 5.30748 | + | 0.963165i | 0.621193 | + | 0.112730i | 0.480024 | − | 0.877256i | \(-0.340628\pi\) |
0.141169 | + | 0.989985i | \(0.454914\pi\) | |||||||
\(74\) | 6.66005 | − | 1.83806i | 0.774215 | − | 0.213670i | ||||
\(75\) | 5.16238 | + | 1.93747i | 0.596100 | + | 0.223720i | ||||
\(76\) | −0.601547 | + | 1.85137i | −0.0690022 | + | 0.212367i | ||||
\(77\) | −1.15698 | + | 0.104130i | −0.131850 | + | 0.0118667i | ||||
\(78\) | −0.541690 | − | 1.00663i | −0.0613344 | − | 0.113978i | ||||
\(79\) | −10.9626 | − | 6.54986i | −1.23339 | − | 0.736916i | −0.259898 | − | 0.965636i | \(-0.583689\pi\) |
−0.973492 | + | 0.228720i | \(0.926546\pi\) | |||||||
\(80\) | −0.0103304 | + | 0.00617213i | −0.00115498 | + | 0.000690066i | ||||
\(81\) | −0.369402 | + | 0.686465i | −0.0410447 | + | 0.0762738i | ||||
\(82\) | −3.33631 | + | 7.80568i | −0.368433 | + | 0.861993i | ||||
\(83\) | −4.71891 | − | 0.424710i | −0.517968 | − | 0.0466180i | −0.172428 | − | 0.985022i | \(-0.555161\pi\) |
−0.345540 | + | 0.938404i | \(0.612304\pi\) | |||||||
\(84\) | −0.571528 | − | 1.33716i | −0.0623588 | − | 0.145896i | ||||
\(85\) | 0.279134 | + | 0.859087i | 0.0302764 | + | 0.0931811i | ||||
\(86\) | 0.0185490 | − | 0.413025i | 0.00200019 | − | 0.0445376i | ||||
\(87\) | 0.831020 | + | 0.726040i | 0.0890947 | + | 0.0778397i | ||||
\(88\) | 2.55054 | − | 1.85307i | 0.271888 | − | 0.197538i | ||||
\(89\) | −4.50816 | + | 1.69194i | −0.477864 | + | 0.179345i | −0.578672 | − | 0.815561i | \(-0.696429\pi\) |
0.100808 | + | 0.994906i | \(0.467857\pi\) | |||||||
\(90\) | −0.0209596 | − | 0.466701i | −0.00220933 | − | 0.0491946i | ||||
\(91\) | 0.757879 | − | 0.950350i | 0.0794473 | − | 0.0996238i | ||||
\(92\) | 4.38757 | + | 4.58904i | 0.457436 | + | 0.478441i | ||||
\(93\) | 5.10169 | − | 7.72874i | 0.529021 | − | 0.801433i | ||||
\(94\) | −2.19067 | − | 1.05497i | −0.225951 | − | 0.108812i | ||||
\(95\) | 0.466869 | + | 0.128848i | 0.0478997 | + | 0.0132195i | ||||
\(96\) | 5.16078 | + | 3.74952i | 0.526719 | + | 0.382684i | ||||
\(97\) | 4.04571 | + | 17.7254i | 0.410780 | + | 1.79974i | 0.580511 | + | 0.814252i | \(0.302853\pi\) |
−0.169731 | + | 0.985490i | \(0.554290\pi\) | |||||||
\(98\) | 3.55563 | − | 3.71890i | 0.359173 | − | 0.375665i | ||||
\(99\) | −0.260500 | − | 1.92309i | −0.0261812 | − | 0.193278i | ||||
\(100\) | −3.36285 | − | 5.09450i | −0.336285 | − | 0.509450i | ||||
\(101\) | 3.06204 | − | 13.4157i | 0.304684 | − | 1.33491i | −0.558284 | − | 0.829650i | \(-0.688540\pi\) |
0.862968 | − | 0.505259i | \(-0.168603\pi\) | |||||||
\(102\) | 2.14633 | − | 1.87519i | 0.212518 | − | 0.185671i | ||||
\(103\) | 4.80496 | + | 6.02523i | 0.473447 | + | 0.593683i | 0.960011 | − | 0.279961i | \(-0.0903216\pi\) |
−0.486565 | + | 0.873645i | \(0.661750\pi\) | |||||||
\(104\) | −0.442820 | + | 3.26903i | −0.0434220 | + | 0.320554i | ||||
\(105\) | −0.325968 | + | 0.156978i | −0.0318112 | + | 0.0153195i | ||||
\(106\) | −3.80786 | + | 0.691025i | −0.369852 | + | 0.0671183i | ||||
\(107\) | 19.0911 | − | 3.46453i | 1.84561 | − | 0.334929i | 0.860852 | − | 0.508856i | \(-0.169931\pi\) |
0.984759 | + | 0.173927i | \(0.0556456\pi\) | |||||||
\(108\) | 5.97158 | − | 2.87576i | 0.574615 | − | 0.276720i | ||||
\(109\) | 1.22145 | − | 9.01712i | 0.116994 | − | 0.863684i | −0.833408 | − | 0.552659i | \(-0.813613\pi\) |
0.950402 | − | 0.311025i | \(-0.100672\pi\) | |||||||
\(110\) | −0.187607 | − | 0.235252i | −0.0178876 | − | 0.0224304i | ||||
\(111\) | 6.73149 | − | 5.88113i | 0.638925 | − | 0.558212i | ||||
\(112\) | −0.00898422 | + | 0.0393624i | −0.000848929 | + | 0.00371940i | ||||
\(113\) | 7.80587 | + | 11.8254i | 0.734315 | + | 1.11244i | 0.989357 | + | 0.145509i | \(0.0464821\pi\) |
−0.255042 | + | 0.966930i | \(0.582089\pi\) | |||||||
\(114\) | −0.205127 | − | 1.51431i | −0.0192119 | − | 0.141828i | ||||
\(115\) | 1.09162 | − | 1.14175i | 0.101794 | − | 0.106468i | ||||
\(116\) | −0.271843 | − | 1.19102i | −0.0252400 | − | 0.110584i | ||||
\(117\) | 1.64285 | + | 1.19360i | 0.151882 | + | 0.110348i | ||||
\(118\) | −5.32548 | − | 1.46974i | −0.490250 | − | 0.135301i | ||||
\(119\) | 2.73053 | + | 1.31495i | 0.250307 | + | 0.120542i | ||||
\(120\) | 0.540918 | − | 0.819455i | 0.0493788 | − | 0.0748057i | ||||
\(121\) | 6.73790 | + | 7.04729i | 0.612536 | + | 0.640663i | ||||
\(122\) | −4.21056 | + | 5.27988i | −0.381206 | + | 0.478018i | ||||
\(123\) | 0.492731 | + | 10.9715i | 0.0444281 | + | 0.989268i | ||||
\(124\) | −9.59845 | + | 3.60236i | −0.861966 | + | 0.323501i | ||||
\(125\) | −2.48141 | + | 1.80285i | −0.221944 | + | 0.161252i | ||||
\(126\) | −1.18037 | − | 1.03126i | −0.105156 | − | 0.0918718i | ||||
\(127\) | 0.499941 | − | 11.1321i | 0.0443626 | − | 0.987810i | −0.846176 | − | 0.532903i | \(-0.821101\pi\) |
0.890539 | − | 0.454907i | \(-0.150328\pi\) | |||||||
\(128\) | −2.20316 | − | 6.78062i | −0.194733 | − | 0.599328i | ||||
\(129\) | −0.210229 | − | 0.491854i | −0.0185096 | − | 0.0433054i | ||||
\(130\) | 0.313589 | + | 0.0282235i | 0.0275036 | + | 0.00247537i | ||||
\(131\) | −4.72882 | + | 11.0636i | −0.413159 | + | 0.966634i | 0.575684 | + | 0.817672i | \(0.304736\pi\) |
−0.988843 | + | 0.148961i | \(0.952407\pi\) | |||||||
\(132\) | 0.741462 | − | 1.37787i | 0.0645360 | − | 0.119928i | ||||
\(133\) | 1.39494 | − | 0.833437i | 0.120956 | − | 0.0722681i | ||||
\(134\) | −6.31756 | − | 3.77457i | −0.545754 | − | 0.326073i | ||||
\(135\) | −0.781420 | − | 1.45212i | −0.0672539 | − | 0.124979i | ||||
\(136\) | −8.19183 | + | 0.737278i | −0.702444 | + | 0.0632211i | ||||
\(137\) | 0.454341 | − | 1.39832i | 0.0388169 | − | 0.119466i | −0.929770 | − | 0.368140i | \(-0.879995\pi\) |
0.968587 | + | 0.248674i | \(0.0799947\pi\) | |||||||
\(138\) | −4.66625 | − | 1.75127i | −0.397217 | − | 0.149078i | ||||
\(139\) | −13.7882 | + | 3.80531i | −1.16950 | + | 0.322762i | −0.796250 | − | 0.604967i | \(-0.793186\pi\) |
−0.373253 | + | 0.927730i | \(0.621758\pi\) | |||||||
\(140\) | 0.394095 | + | 0.0715177i | 0.0333071 | + | 0.00604435i | ||||
\(141\) | −3.14576 | −0.264921 | ||||||||
\(142\) | −6.93559 | − | 2.34968i | −0.582022 | − | 0.197181i | ||||
\(143\) | 1.30793 | 0.109375 | ||||||||
\(144\) | −0.0663656 | − | 0.0120436i | −0.00553047 | − | 0.00100363i | ||||
\(145\) | −0.292991 | + | 0.0808605i | −0.0243316 | + | 0.00671510i | ||||
\(146\) | 4.38891 | + | 1.64719i | 0.363229 | + | 0.136322i | ||||
\(147\) | 2.05703 | − | 6.33087i | 0.169661 | − | 0.522162i | ||||
\(148\) | −9.85588 | + | 0.887045i | −0.810148 | + | 0.0729147i | ||||
\(149\) | −9.05734 | − | 16.8314i | −0.742006 | − | 1.37888i | −0.918837 | − | 0.394637i | \(-0.870870\pi\) |
0.176831 | − | 0.984241i | \(-0.443415\pi\) | |||||||
\(150\) | 4.11365 | + | 2.45779i | 0.335878 | + | 0.200678i | ||||
\(151\) | −1.18624 | + | 0.708748i | −0.0965352 | + | 0.0576771i | −0.560355 | − | 0.828252i | \(-0.689335\pi\) |
0.463820 | + | 0.885929i | \(0.346478\pi\) | |||||||
\(152\) | −2.08975 | + | 3.88341i | −0.169501 | + | 0.314986i | ||||
\(153\) | −1.98988 | + | 4.65555i | −0.160872 | + | 0.376379i | ||||
\(154\) | −1.00548 | − | 0.0904950i | −0.0810240 | − | 0.00729229i | ||||
\(155\) | 1.00250 | + | 2.34546i | 0.0805226 | + | 0.188392i | ||||
\(156\) | 0.505948 | + | 1.55715i | 0.0405083 | + | 0.124672i | ||||
\(157\) | −0.745908 | + | 16.6089i | −0.0595299 | + | 1.32554i | 0.717715 | + | 0.696337i | \(0.245188\pi\) |
−0.777244 | + | 0.629199i | \(0.783383\pi\) | |||||||
\(158\) | −8.35765 | − | 7.30186i | −0.664899 | − | 0.580905i | ||||
\(159\) | −4.05073 | + | 2.94302i | −0.321243 | + | 0.233397i | ||||
\(160\) | −1.64498 | + | 0.617373i | −0.130047 | + | 0.0488076i | ||||
\(161\) | −0.237775 | − | 5.29447i | −0.0187393 | − | 0.417263i | ||||
\(162\) | −0.422395 | + | 0.529667i | −0.0331865 | + | 0.0416146i | ||||
\(163\) | 9.09137 | + | 9.50883i | 0.712091 | + | 0.744789i | 0.975525 | − | 0.219889i | \(-0.0705694\pi\) |
−0.263434 | + | 0.964677i | \(0.584855\pi\) | |||||||
\(164\) | 6.69802 | − | 10.1471i | 0.523027 | − | 0.792353i | ||||
\(165\) | −0.350742 | − | 0.168909i | −0.0273052 | − | 0.0131495i | ||||
\(166\) | −3.96919 | − | 1.09543i | −0.308069 | − | 0.0850217i | ||||
\(167\) | 9.78655 | + | 7.11034i | 0.757306 | + | 0.550215i | 0.898083 | − | 0.439827i | \(-0.144960\pi\) |
−0.140777 | + | 0.990041i | \(0.544960\pi\) | |||||||
\(168\) | −0.733057 | − | 3.21173i | −0.0565565 | − | 0.247790i | ||||
\(169\) | 8.03803 | − | 8.40712i | 0.618310 | − | 0.646701i | ||||
\(170\) | 0.105375 | + | 0.777912i | 0.00808192 | + | 0.0596631i | ||||
\(171\) | 1.49548 | + | 2.26556i | 0.114362 | + | 0.173251i | ||||
\(172\) | −0.131769 | + | 0.577320i | −0.0100473 | + | 0.0440202i | ||||
\(173\) | 5.09550 | − | 4.45180i | 0.387404 | − | 0.338464i | −0.442100 | − | 0.896966i | \(-0.645766\pi\) |
0.829504 | + | 0.558502i | \(0.188624\pi\) | |||||||
\(174\) | 0.597933 | + | 0.749785i | 0.0453292 | + | 0.0568410i | ||||
\(175\) | −0.683992 | + | 5.04943i | −0.0517049 | + | 0.381701i | ||||
\(176\) | −0.0391411 | + | 0.0188494i | −0.00295037 | + | 0.00142082i | ||||
\(177\) | −7.03268 | + | 1.27624i | −0.528609 | + | 0.0959283i | ||||
\(178\) | −4.11744 | + | 0.747204i | −0.308615 | + | 0.0560053i | ||||
\(179\) | 18.5450 | − | 8.93081i | 1.38612 | − | 0.667520i | 0.415824 | − | 0.909445i | \(-0.363493\pi\) |
0.970295 | + | 0.241925i | \(0.0777788\pi\) | |||||||
\(180\) | −0.0898187 | + | 0.663068i | −0.00669469 | + | 0.0494222i | ||||
\(181\) | −13.2681 | − | 16.6376i | −0.986208 | − | 1.23667i | −0.971565 | − | 0.236773i | \(-0.923910\pi\) |
−0.0146429 | − | 0.999893i | \(-0.504661\pi\) | |||||||
\(182\) | 0.795527 | − | 0.695031i | 0.0589684 | − | 0.0515191i | ||||
\(183\) | −1.94419 | + | 8.51807i | −0.143719 | + | 0.629674i | ||||
\(184\) | 7.92368 | + | 12.0039i | 0.584141 | + | 0.884936i | ||||
\(185\) | 0.330487 | + | 2.43976i | 0.0242979 | + | 0.179374i | ||||
\(186\) | 5.56173 | − | 5.81711i | 0.407806 | − | 0.426531i | ||||
\(187\) | 0.725640 | + | 3.17924i | 0.0530641 | + | 0.232489i | ||||
\(188\) | 2.81745 | + | 2.04699i | 0.205483 | + | 0.149292i | ||||
\(189\) | −5.33326 | − | 1.47189i | −0.387938 | − | 0.107064i | ||||
\(190\) | 0.379221 | + | 0.182623i | 0.0275116 | + | 0.0132489i | ||||
\(191\) | 3.09687 | − | 4.69155i | 0.224081 | − | 0.339469i | −0.705090 | − | 0.709118i | \(-0.749093\pi\) |
0.929171 | + | 0.369649i | \(0.120522\pi\) | |||||||
\(192\) | 3.77071 | + | 3.94385i | 0.272128 | + | 0.284623i | ||||
\(193\) | 8.96049 | − | 11.2361i | 0.644990 | − | 0.808792i | −0.346627 | − | 0.938003i | \(-0.612673\pi\) |
0.991617 | + | 0.129211i | \(0.0412445\pi\) | |||||||
\(194\) | 0.708889 | + | 15.7846i | 0.0508952 | + | 1.13327i | ||||
\(195\) | 0.381378 | − | 0.143134i | 0.0273111 | − | 0.0102500i | ||||
\(196\) | −5.96193 | + | 4.33160i | −0.425852 | + | 0.309400i | ||||
\(197\) | 0.00389092 | + | 0.00339939i | 0.000277216 | + | 0.000242197i | 0.658077 | − | 0.752950i | \(-0.271370\pi\) |
−0.657800 | + | 0.753193i | \(0.728513\pi\) | |||||||
\(198\) | 0.0756662 | − | 1.68484i | 0.00537736 | − | 0.119736i | ||||
\(199\) | 4.29152 | + | 13.2080i | 0.304218 | + | 0.936287i | 0.979968 | + | 0.199156i | \(0.0638200\pi\) |
−0.675750 | + | 0.737131i | \(0.736180\pi\) | |||||||
\(200\) | −5.43509 | − | 12.7160i | −0.384319 | − | 0.899159i | ||||
\(201\) | −9.48291 | − | 0.853477i | −0.668873 | − | 0.0601996i | ||||
\(202\) | 4.70011 | − | 10.9965i | 0.330699 | − | 0.773708i | ||||
\(203\) | −0.483235 | + | 0.898002i | −0.0339165 | + | 0.0630274i | ||||
\(204\) | −3.50432 | + | 2.09374i | −0.245352 | + | 0.146591i | ||||
\(205\) | −2.59680 | − | 1.55151i | −0.181368 | − | 0.108362i | ||||
\(206\) | 3.17371 | + | 5.89773i | 0.221123 | + | 0.410915i | ||||
\(207\) | 8.81816 | − | 0.793649i | 0.612905 | − | 0.0551624i | ||||
\(208\) | 0.0140475 | − | 0.0432337i | 0.000974017 | − | 0.00299772i | ||||
\(209\) | 1.63696 | + | 0.614363i | 0.113231 | + | 0.0424964i | ||||
\(210\) | −0.303091 | + | 0.0836478i | −0.0209153 | + | 0.00577225i | ||||
\(211\) | −11.8589 | − | 2.15207i | −0.816401 | − | 0.148155i | −0.245735 | − | 0.969337i | \(-0.579029\pi\) |
−0.570666 | + | 0.821182i | \(0.693315\pi\) | |||||||
\(212\) | 5.54303 | 0.380697 | ||||||||
\(213\) | −9.40346 | + | 1.15438i | −0.644314 | + | 0.0790966i | ||||
\(214\) | 16.8623 | 1.15268 | ||||||||
\(215\) | 0.144962 | + | 0.0263068i | 0.00988635 | + | 0.00179411i | ||||
\(216\) | 14.4740 | − | 3.99457i | 0.984832 | − | 0.271796i | ||||
\(217\) | 8.01225 | + | 3.00705i | 0.543907 | + | 0.204132i | ||||
\(218\) | 2.44370 | − | 7.52092i | 0.165508 | − | 0.509381i | ||||
\(219\) | 6.04058 | − | 0.543662i | 0.408185 | − | 0.0367373i | ||||
\(220\) | 0.204225 | + | 0.379513i | 0.0137688 | + | 0.0255868i | ||||
\(221\) | −2.92926 | − | 1.75015i | −0.197043 | − | 0.117728i | ||||
\(222\) | 6.66865 | − | 3.98433i | 0.447570 | − | 0.267411i | ||||
\(223\) | −2.42596 | + | 4.50819i | −0.162454 | + | 0.301891i | −0.948789 | − | 0.315910i | \(-0.897690\pi\) |
0.786335 | + | 0.617800i | \(0.211976\pi\) | |||||||
\(224\) | −2.31688 | + | 5.42060i | −0.154803 | + | 0.362179i | ||||
\(225\) | −8.47829 | − | 0.763060i | −0.565220 | − | 0.0508707i | ||||
\(226\) | 4.83971 | + | 11.3231i | 0.321933 | + | 0.753199i | ||||
\(227\) | −6.94997 | − | 21.3898i | −0.461286 | − | 1.41969i | −0.863595 | − | 0.504187i | \(-0.831792\pi\) |
0.402309 | − | 0.915504i | \(-0.368208\pi\) | |||||||
\(228\) | −0.0981973 | + | 2.18653i | −0.00650328 | + | 0.144807i | ||||
\(229\) | −2.14727 | − | 1.87602i | −0.141896 | − | 0.123971i | 0.584064 | − | 0.811707i | \(-0.301462\pi\) |
−0.725960 | + | 0.687737i | \(0.758604\pi\) | |||||||
\(230\) | 1.11061 | − | 0.806903i | 0.0732312 | − | 0.0532056i | ||||
\(231\) | −1.22284 | + | 0.458939i | −0.0804569 | + | 0.0301960i | ||||
\(232\) | −0.124166 | − | 2.76477i | −0.00815190 | − | 0.181516i | ||||
\(233\) | −5.47020 | + | 6.85941i | −0.358365 | + | 0.449375i | −0.928032 | − | 0.372500i | \(-0.878501\pi\) |
0.569668 | + | 0.821875i | \(0.307072\pi\) | |||||||
\(234\) | 1.21957 | + | 1.27557i | 0.0797256 | + | 0.0833865i | ||||
\(235\) | 0.477327 | − | 0.723119i | 0.0311374 | − | 0.0471711i | ||||
\(236\) | 7.12917 | + | 3.43323i | 0.464069 | + | 0.223484i | ||||
\(237\) | −13.8410 | − | 3.81986i | −0.899068 | − | 0.248127i | ||||
\(238\) | 2.13080 | + | 1.54812i | 0.138119 | + | 0.100350i | ||||
\(239\) | 5.22127 | + | 22.8759i | 0.337736 | + | 1.47972i | 0.803764 | + | 0.594948i | \(0.202827\pi\) |
−0.466028 | + | 0.884770i | \(0.654316\pi\) | |||||||
\(240\) | −0.00935034 | + | 0.00977969i | −0.000603562 | + | 0.000631276i | ||||
\(241\) | −0.471906 | − | 3.48375i | −0.0303981 | − | 0.224408i | 0.969378 | − | 0.245574i | \(-0.0789765\pi\) |
−0.999776 | + | 0.0211659i | \(0.993262\pi\) | |||||||
\(242\) | 4.66794 | + | 7.07163i | 0.300067 | + | 0.454582i | ||||
\(243\) | 3.35958 | − | 14.7193i | 0.215517 | − | 0.944242i | ||||
\(244\) | 7.28412 | − | 6.36395i | 0.466318 | − | 0.407410i | ||||
\(245\) | 1.14316 | + | 1.43347i | 0.0730337 | + | 0.0915813i | ||||
\(246\) | −1.28119 | + | 9.45810i | −0.0816855 | + | 0.603026i | ||||
\(247\) | −1.64838 | + | 0.793817i | −0.104884 | + | 0.0505094i | ||||
\(248\) | −22.8523 | + | 4.14708i | −1.45112 | + | 0.263340i | ||||
\(249\) | −5.24161 | + | 0.951211i | −0.332173 | + | 0.0602806i | ||||
\(250\) | −2.40159 | + | 1.15654i | −0.151890 | + | 0.0731463i | ||||
\(251\) | −0.784287 | + | 5.78984i | −0.0495037 | + | 0.365451i | 0.949205 | + | 0.314657i | \(0.101890\pi\) |
−0.998709 | + | 0.0507941i | \(0.983825\pi\) | |||||||
\(252\) | 1.39972 | + | 1.75520i | 0.0881742 | + | 0.110567i | ||||
\(253\) | 4.29448 | − | 3.75197i | 0.269991 | − | 0.235884i | ||||
\(254\) | 2.15492 | − | 9.44134i | 0.135212 | − | 0.592402i | ||||
\(255\) | 0.559510 | + | 0.847621i | 0.0350379 | + | 0.0530801i | ||||
\(256\) | −2.13454 | − | 15.7578i | −0.133409 | − | 0.984865i | ||||
\(257\) | −1.30313 | + | 1.36296i | −0.0812868 | + | 0.0850193i | −0.762187 | − | 0.647357i | \(-0.775874\pi\) |
0.680900 | + | 0.732376i | \(0.261589\pi\) | |||||||
\(258\) | −0.103441 | − | 0.453203i | −0.00643993 | − | 0.0282152i | ||||
\(259\) | 6.68280 | + | 4.85534i | 0.415249 | + | 0.301696i | ||||
\(260\) | −0.434714 | − | 0.119973i | −0.0269598 | − | 0.00744043i | ||||
\(261\) | −1.53490 | − | 0.739169i | −0.0950079 | − | 0.0457534i | ||||
\(262\) | −5.76038 | + | 8.72661i | −0.355878 | + | 0.539132i | ||||
\(263\) | 3.19177 | + | 3.33833i | 0.196813 | + | 0.205850i | 0.813836 | − | 0.581095i | \(-0.197376\pi\) |
−0.617023 | + | 0.786945i | \(0.711661\pi\) | |||||||
\(264\) | 2.21009 | − | 2.77136i | 0.136022 | − | 0.170566i | ||||
\(265\) | −0.0618729 | − | 1.37771i | −0.00380082 | − | 0.0846319i | ||||
\(266\) | 1.32213 | − | 0.496203i | 0.0810649 | − | 0.0304242i | ||||
\(267\) | −4.38005 | + | 3.18229i | −0.268054 | + | 0.194753i | ||||
\(268\) | 7.93783 | + | 6.93507i | 0.484880 | + | 0.423627i | ||||
\(269\) | 0.737192 | − | 16.4149i | 0.0449474 | − | 1.00083i | −0.842148 | − | 0.539246i | \(-0.818709\pi\) |
0.887096 | − | 0.461586i | \(-0.152719\pi\) | |||||||
\(270\) | −0.442851 | − | 1.36295i | −0.0269510 | − | 0.0829467i | ||||
\(271\) | −6.35393 | − | 14.8658i | −0.385974 | − | 0.903031i | −0.994027 | − | 0.109135i | \(-0.965192\pi\) |
0.608053 | − | 0.793896i | \(-0.291951\pi\) | |||||||
\(272\) | 0.112883 | + | 0.0101597i | 0.00684456 | + | 0.000616022i | ||||
\(273\) | 0.537152 | − | 1.25673i | 0.0325099 | − | 0.0760607i | ||||
\(274\) | 0.605488 | − | 1.12518i | 0.0365789 | − | 0.0679749i | ||||
\(275\) | −4.70672 | + | 2.81214i | −0.283826 | + | 0.169578i | ||||
\(276\) | 6.12813 | + | 3.66139i | 0.368870 | + | 0.220389i | ||||
\(277\) | −10.5753 | − | 19.6522i | −0.635409 | − | 1.18079i | −0.971068 | − | 0.238804i | \(-0.923245\pi\) |
0.335659 | − | 0.941984i | \(-0.391041\pi\) | |||||||
\(278\) | −12.3807 | + | 1.11428i | −0.742544 | + | 0.0668302i | ||||
\(279\) | −4.41796 | + | 13.5971i | −0.264496 | + | 0.814036i | ||||
\(280\) | 0.849515 | + | 0.318828i | 0.0507682 | + | 0.0190536i | ||||
\(281\) | −12.4396 | + | 3.43310i | −0.742082 | + | 0.204802i | −0.616581 | − | 0.787292i | \(-0.711483\pi\) |
−0.125502 | + | 0.992093i | \(0.540054\pi\) | |||||||
\(282\) | −2.68991 | − | 0.488147i | −0.160182 | − | 0.0290687i | ||||
\(283\) | 19.9057 | 1.18327 | 0.591637 | − | 0.806205i | \(-0.298482\pi\) | ||||
0.591637 | + | 0.806205i | \(0.298482\pi\) | |||||||
\(284\) | 9.17321 | + | 5.08507i | 0.544330 | + | 0.301744i | ||||
\(285\) | 0.544554 | 0.0322566 | ||||||||
\(286\) | 1.11840 | + | 0.202959i | 0.0661323 | + | 0.0120012i | ||||
\(287\) | −9.78340 | + | 2.70005i | −0.577496 | + | 0.159379i | ||||
\(288\) | −9.22014 | − | 3.46038i | −0.543302 | − | 0.203905i | ||||
\(289\) | −2.62428 | + | 8.07671i | −0.154369 | + | 0.475100i | ||||
\(290\) | −0.263082 | + | 0.0236778i | −0.0154487 | + | 0.00139041i | ||||
\(291\) | 9.68698 | + | 18.0014i | 0.567861 | + | 1.05526i | ||||
\(292\) | −5.76391 | − | 3.44377i | −0.337307 | − | 0.201532i | ||||
\(293\) | −19.7643 | + | 11.8086i | −1.15464 | + | 0.689867i | −0.956909 | − | 0.290389i | \(-0.906215\pi\) |
−0.197734 | + | 0.980256i | \(0.563358\pi\) | |||||||
\(294\) | 2.74134 | − | 5.09427i | 0.159878 | − | 0.297104i | ||||
\(295\) | 0.773743 | − | 1.81026i | 0.0450491 | − | 0.105398i | ||||
\(296\) | −22.3278 | − | 2.00953i | −1.29777 | − | 0.116802i | ||||
\(297\) | −2.33973 | − | 5.47408i | −0.135765 | − | 0.317638i | ||||
\(298\) | −5.13302 | − | 15.7978i | −0.297348 | − | 0.915143i | ||||
\(299\) | −0.267715 | + | 5.96114i | −0.0154824 | + | 0.344741i | ||||
\(300\) | −5.16868 | − | 4.51574i | −0.298414 | − | 0.260717i | ||||
\(301\) | 0.399903 | − | 0.290547i | 0.0230500 | − | 0.0167468i | ||||
\(302\) | −1.12433 | + | 0.421967i | −0.0646978 | + | 0.0242815i | ||||
\(303\) | −0.694148 | − | 15.4564i | −0.0398778 | − | 0.887948i | ||||
\(304\) | 0.0378892 | − | 0.0475115i | 0.00217309 | − | 0.00272497i | ||||
\(305\) | −1.66305 | − | 1.73942i | −0.0952261 | − | 0.0995987i | ||||
\(306\) | −2.42396 | + | 3.67214i | −0.138568 | + | 0.209922i | ||||
\(307\) | −20.3876 | − | 9.81815i | −1.16358 | − | 0.560352i | −0.250496 | − | 0.968118i | \(-0.580594\pi\) |
−0.913086 | + | 0.407766i | \(0.866308\pi\) | |||||||
\(308\) | 1.39385 | + | 0.384679i | 0.0794221 | + | 0.0219191i | ||||
\(309\) | 7.01011 | + | 5.09314i | 0.398791 | + | 0.289739i | ||||
\(310\) | 0.493268 | + | 2.16115i | 0.0280157 | + | 0.122745i | ||||
\(311\) | 10.2521 | − | 10.7229i | 0.581345 | − | 0.608039i | −0.365075 | − | 0.930978i | \(-0.618957\pi\) |
0.946420 | + | 0.322939i | \(0.104671\pi\) | |||||||
\(312\) | 0.497890 | + | 3.67557i | 0.0281875 | + | 0.208088i | ||||
\(313\) | 16.4362 | + | 24.8997i | 0.929027 | + | 1.40742i | 0.913187 | + | 0.407541i | \(0.133614\pi\) |
0.0158399 | + | 0.999875i | \(0.494958\pi\) | |||||||
\(314\) | −3.21513 | + | 14.0864i | −0.181440 | + | 0.794941i | ||||
\(315\) | 0.420626 | − | 0.367490i | 0.0236996 | − | 0.0207057i | ||||
\(316\) | 9.91078 | + | 12.4277i | 0.557525 | + | 0.699114i | ||||
\(317\) | −0.680282 | + | 5.02205i | −0.0382085 | + | 0.282066i | 0.961758 | + | 0.273900i | \(0.0883137\pi\) |
−0.999967 | + | 0.00816624i | \(0.997401\pi\) | |||||||
\(318\) | −3.92043 | + | 1.88798i | −0.219847 | + | 0.105873i | ||||
\(319\) | −1.07964 | + | 0.195925i | −0.0604481 | + | 0.0109697i | ||||
\(320\) | −1.47873 | + | 0.268350i | −0.0826636 | + | 0.0150012i | ||||
\(321\) | 19.6555 | − | 9.46559i | 1.09706 | − | 0.528318i | ||||
\(322\) | 0.618256 | − | 4.56415i | 0.0344541 | − | 0.254350i | ||||
\(323\) | −2.84409 | − | 3.56637i | −0.158249 | − | 0.198438i | ||||
\(324\) | 0.730729 | − | 0.638419i | 0.0405961 | − | 0.0354677i | ||||
\(325\) | 1.27664 | − | 5.59332i | 0.0708152 | − | 0.310262i | ||||
\(326\) | 6.29840 | + | 9.54167i | 0.348836 | + | 0.528464i | ||||
\(327\) | −1.37336 | − | 10.1385i | −0.0759467 | − | 0.560661i | ||||
\(328\) | 19.0346 | − | 19.9086i | 1.05101 | − | 1.09927i | ||||
\(329\) | −0.646878 | − | 2.83416i | −0.0356635 | − | 0.156252i | ||||
\(330\) | −0.273706 | − | 0.198859i | −0.0150670 | − | 0.0109468i | ||||
\(331\) | −10.7389 | − | 2.96375i | −0.590265 | − | 0.162903i | −0.0418710 | − | 0.999123i | \(-0.513332\pi\) |
−0.548394 | + | 0.836220i | \(0.684760\pi\) | |||||||
\(332\) | 5.31352 | + | 2.55886i | 0.291617 | + | 0.140435i | ||||
\(333\) | −7.60223 | + | 11.5169i | −0.416599 | + | 0.631121i | ||||
\(334\) | 7.26503 | + | 7.59863i | 0.397525 | + | 0.415778i | ||||
\(335\) | 1.63509 | − | 2.05034i | 0.0893347 | − | 0.112022i | ||||
\(336\) | 0.00203668 | + | 0.0453501i | 0.000111110 | + | 0.00247405i | ||||
\(337\) | 7.33160 | − | 2.75159i | 0.399378 | − | 0.149889i | −0.143601 | − | 0.989636i | \(-0.545868\pi\) |
0.542978 | + | 0.839747i | \(0.317297\pi\) | |||||||
\(338\) | 8.17783 | − | 5.94154i | 0.444815 | − | 0.323177i | ||||
\(339\) | 11.9976 | + | 10.4820i | 0.651619 | + | 0.569303i | ||||
\(340\) | 0.0504447 | − | 1.12324i | 0.00273575 | − | 0.0609161i | ||||
\(341\) | 2.84555 | + | 8.75769i | 0.154095 | + | 0.474255i | ||||
\(342\) | 0.927211 | + | 2.16932i | 0.0501378 | + | 0.117303i | ||||
\(343\) | 13.3708 | + | 1.20339i | 0.721953 | + | 0.0649770i | ||||
\(344\) | −0.527246 | + | 1.23355i | −0.0284272 | + | 0.0665088i | ||||
\(345\) | 0.841625 | − | 1.56400i | 0.0453116 | − | 0.0842030i | ||||
\(346\) | 5.04793 | − | 3.01600i | 0.271378 | − | 0.162141i | ||||
\(347\) | −16.6435 | − | 9.94405i | −0.893472 | − | 0.533824i | −0.00875922 | − | 0.999962i | \(-0.502788\pi\) |
−0.884712 | + | 0.466137i | \(0.845645\pi\) | |||||||
\(348\) | −0.650896 | − | 1.20957i | −0.0348917 | − | 0.0648396i | ||||
\(349\) | 8.25847 | − | 0.743276i | 0.442066 | − | 0.0397866i | 0.133629 | − | 0.991031i | \(-0.457337\pi\) |
0.308437 | + | 0.951245i | \(0.400194\pi\) | |||||||
\(350\) | −1.36843 | + | 4.21158i | −0.0731454 | + | 0.225119i | ||||
\(351\) | 5.83209 | + | 2.18882i | 0.311294 | + | 0.116830i | ||||
\(352\) | −6.11444 | + | 1.68748i | −0.325901 | + | 0.0899429i | ||||
\(353\) | −9.10804 | − | 1.65287i | −0.484772 | − | 0.0879732i | −0.0693320 | − | 0.997594i | \(-0.522087\pi\) |
−0.415440 | + | 0.909620i | \(0.636372\pi\) | |||||||
\(354\) | −6.21162 | −0.330144 | ||||||||
\(355\) | 1.16149 | − | 2.33674i | 0.0616455 | − | 0.124021i | ||||
\(356\) | 5.99368 | 0.317664 | ||||||||
\(357\) | 3.35280 | + | 0.608443i | 0.177449 | + | 0.0322022i | ||||
\(358\) | 17.2435 | − | 4.75891i | 0.911348 | − | 0.251516i | ||||
\(359\) | 17.5260 | + | 6.57761i | 0.924985 | + | 0.347153i | 0.768001 | − | 0.640448i | \(-0.221251\pi\) |
0.156984 | + | 0.987601i | \(0.449823\pi\) | |||||||
\(360\) | −0.468423 | + | 1.44166i | −0.0246881 | + | 0.0759820i | ||||
\(361\) | 16.4876 | − | 1.48391i | 0.867767 | − | 0.0781005i | ||||
\(362\) | −8.76364 | − | 16.2856i | −0.460607 | − | 0.855951i | ||||
\(363\) | 9.41083 | + | 5.62271i | 0.493940 | + | 0.295116i | ||||
\(364\) | −1.29886 | + | 0.776035i | −0.0680790 | + | 0.0406753i | ||||
\(365\) | −0.791604 | + | 1.47105i | −0.0414344 | + | 0.0769981i | ||||
\(366\) | −2.98426 | + | 6.98203i | −0.155990 | + | 0.364957i | ||||
\(367\) | 0.898450 | + | 0.0808620i | 0.0468987 | + | 0.00422096i | 0.113064 | − | 0.993588i | \(-0.463934\pi\) |
−0.0661651 | + | 0.997809i | \(0.521076\pi\) | |||||||
\(368\) | −0.0778979 | − | 0.182251i | −0.00406071 | − | 0.00950050i | ||||
\(369\) | −5.23940 | − | 16.1252i | −0.272752 | − | 0.839445i | ||||
\(370\) | −0.0959951 | + | 2.13750i | −0.00499055 | + | 0.111123i | ||||
\(371\) | −3.48447 | − | 3.04429i | −0.180905 | − | 0.158052i | ||||
\(372\) | −9.32568 | + | 6.77550i | −0.483514 | + | 0.351293i | ||||
\(373\) | 27.7656 | − | 10.4206i | 1.43765 | − | 0.539558i | 0.493694 | − | 0.869636i | \(-0.335646\pi\) |
0.943954 | + | 0.330078i | \(0.107075\pi\) | |||||||
\(374\) | 0.127147 | + | 2.83114i | 0.00657459 | + | 0.146395i | ||||
\(375\) | −2.15019 | + | 2.69625i | −0.111035 | + | 0.139234i | ||||
\(376\) | 5.45211 | + | 5.70247i | 0.281171 | + | 0.294082i | ||||
\(377\) | 0.632525 | − | 0.958234i | 0.0325767 | − | 0.0493516i | ||||
\(378\) | −4.33202 | − | 2.08619i | −0.222815 | − | 0.107302i | ||||
\(379\) | −9.55730 | − | 2.63765i | −0.490925 | − | 0.135487i | 0.0118046 | − | 0.999930i | \(-0.496242\pi\) |
−0.502730 | + | 0.864444i | \(0.667671\pi\) | |||||||
\(380\) | −0.487720 | − | 0.354350i | −0.0250195 | − | 0.0181777i | ||||
\(381\) | −2.78798 | − | 12.2150i | −0.142833 | − | 0.625791i | ||||
\(382\) | 3.37612 | − | 3.53114i | 0.172737 | − | 0.180669i | ||||
\(383\) | 4.54312 | + | 33.5386i | 0.232142 | + | 1.71374i | 0.613818 | + | 0.789448i | \(0.289633\pi\) |
−0.381675 | + | 0.924296i | \(0.624653\pi\) | |||||||
\(384\) | −4.41611 | − | 6.69012i | −0.225359 | − | 0.341404i | ||||
\(385\) | 0.0800524 | − | 0.350733i | 0.00407985 | − | 0.0178750i | ||||
\(386\) | 9.40560 | − | 8.21743i | 0.478733 | − | 0.418256i | ||||
\(387\) | 0.514868 | + | 0.645625i | 0.0261722 | + | 0.0328189i | ||||
\(388\) | 3.03782 | − | 22.4261i | 0.154222 | − | 1.13851i | ||||
\(389\) | 12.9787 | − | 6.25020i | 0.658045 | − | 0.316898i | −0.0748949 | − | 0.997191i | \(-0.523862\pi\) |
0.732939 | + | 0.680294i | \(0.238148\pi\) | |||||||
\(390\) | 0.348324 | − | 0.0632115i | 0.0176381 | − | 0.00320084i | ||||
\(391\) | −14.6385 | + | 2.65650i | −0.740301 | + | 0.134345i | ||||
\(392\) | −15.0414 | + | 7.24356i | −0.759706 | + | 0.365855i | ||||
\(393\) | −1.81593 | + | 13.4057i | −0.0916016 | + | 0.676230i | ||||
\(394\) | 0.00279958 | + | 0.00351057i | 0.000141041 | + | 0.000176860i | ||||
\(395\) | 2.97826 | − | 2.60202i | 0.149852 | − | 0.130922i | ||||
\(396\) | −0.537523 | + | 2.35504i | −0.0270115 | + | 0.118345i | ||||
\(397\) | −2.62356 | − | 3.97452i | −0.131672 | − | 0.199475i | 0.762756 | − | 0.646686i | \(-0.223846\pi\) |
−0.894428 | + | 0.447211i | \(0.852417\pi\) | |||||||
\(398\) | 1.62008 | + | 11.9599i | 0.0812075 | + | 0.599498i | ||||
\(399\) | 1.26260 | − | 1.32057i | 0.0632089 | − | 0.0661113i | ||||
\(400\) | 0.0424040 | + | 0.185784i | 0.00212020 | + | 0.00928920i | ||||
\(401\) | −10.3734 | − | 7.53671i | −0.518022 | − | 0.376365i | 0.297836 | − | 0.954617i | \(-0.403735\pi\) |
−0.815858 | + | 0.578252i | \(0.803735\pi\) | |||||||
\(402\) | −7.97631 | − | 2.20132i | −0.397822 | − | 0.109792i | ||||
\(403\) | −8.68132 | − | 4.18070i | −0.432447 | − | 0.208256i | ||||
\(404\) | −9.43602 | + | 14.2950i | −0.469460 | + | 0.711201i | ||||
\(405\) | −0.166834 | − | 0.174495i | −0.00829006 | − | 0.00867072i | ||||
\(406\) | −0.552558 | + | 0.692886i | −0.0274230 | + | 0.0343874i | ||||
\(407\) | 0.398768 | + | 8.87926i | 0.0197662 | + | 0.440129i | ||||
\(408\) | −8.65813 | + | 3.24945i | −0.428641 | + | 0.160872i | ||||
\(409\) | −28.8656 | + | 20.9721i | −1.42731 | + | 1.03700i | −0.436801 | + | 0.899558i | \(0.643888\pi\) |
−0.990510 | + | 0.137443i | \(0.956112\pi\) | |||||||
\(410\) | −1.97974 | − | 1.72965i | −0.0977723 | − | 0.0854211i | ||||
\(411\) | 0.0741672 | − | 1.65146i | 0.00365840 | − | 0.0814605i | ||||
\(412\) | −2.96430 | − | 9.12316i | −0.146040 | − | 0.449466i | ||||
\(413\) | −2.59599 | − | 6.07362i | −0.127740 | − | 0.298863i | ||||
\(414\) | 7.66348 | + | 0.689726i | 0.376640 | + | 0.0338982i | ||||
\(415\) | 0.576687 | − | 1.34923i | 0.0283084 | − | 0.0662309i | ||||
\(416\) | 3.14519 | − | 5.84475i | 0.154206 | − | 0.286562i | ||||
\(417\) | −13.8060 | + | 8.24873i | −0.676085 | + | 0.403942i | ||||
\(418\) | 1.30442 | + | 0.779354i | 0.0638012 | + | 0.0381194i | ||||
\(419\) | −2.60048 | − | 4.83250i | −0.127042 | − | 0.236083i | 0.809127 | − | 0.587634i | \(-0.199940\pi\) |
−0.936169 | + | 0.351550i | \(0.885655\pi\) | |||||||
\(420\) | 0.448530 | − | 0.0403684i | 0.0218860 | − | 0.00196978i | ||||
\(421\) | −1.91741 | + | 5.90119i | −0.0934490 | + | 0.287606i | −0.986846 | − | 0.161661i | \(-0.948315\pi\) |
0.893397 | + | 0.449267i | \(0.148315\pi\) | |||||||
\(422\) | −9.80649 | − | 3.68044i | −0.477373 | − | 0.179161i | ||||
\(423\) | 4.68146 | − | 1.29200i | 0.227620 | − | 0.0628193i | ||||
\(424\) | 12.3555 | + | 2.24220i | 0.600037 | + | 0.108891i | ||||
\(425\) | 14.3042 | 0.693855 | ||||||||
\(426\) | −8.21994 | − | 0.472095i | −0.398258 | − | 0.0228731i | ||||
\(427\) | −8.07411 | −0.390733 | ||||||||
\(428\) | −23.7635 | − | 4.31244i | −1.14865 | − | 0.208450i | ||||
\(429\) | 1.41759 | − | 0.391230i | 0.0684419 | − | 0.0188888i | ||||
\(430\) | 0.119874 | + | 0.0449894i | 0.00578083 | + | 0.00216958i | ||||
\(431\) | 9.24022 | − | 28.4385i | 0.445086 | − | 1.36983i | −0.437304 | − | 0.899314i | \(-0.644067\pi\) |
0.882390 | − | 0.470519i | \(-0.155933\pi\) | |||||||
\(432\) | −0.206075 | + | 0.0185471i | −0.00991481 | + | 0.000892349i | ||||
\(433\) | 10.2654 | + | 19.0762i | 0.493322 | + | 0.916745i | 0.998554 | + | 0.0537617i | \(0.0171211\pi\) |
−0.505232 | + | 0.862983i | \(0.668593\pi\) | |||||||
\(434\) | 6.38458 | + | 3.81461i | 0.306470 | + | 0.183107i | ||||
\(435\) | −0.293370 | + | 0.175280i | −0.0140660 | + | 0.00840405i | ||||
\(436\) | −5.36727 | + | 9.97405i | −0.257045 | + | 0.477670i | ||||
\(437\) | −3.13514 | + | 7.33502i | −0.149974 | + | 0.350882i | ||||
\(438\) | 5.24961 | + | 0.472473i | 0.250836 | + | 0.0225756i | ||||
\(439\) | −2.84874 | − | 6.66497i | −0.135963 | − | 0.318101i | 0.837686 | − | 0.546152i | \(-0.183908\pi\) |
−0.973649 | + | 0.228050i | \(0.926765\pi\) | |||||||
\(440\) | 0.301705 | + | 0.928552i | 0.0143832 | + | 0.0442670i | ||||
\(441\) | −0.461061 | + | 10.2663i | −0.0219553 | + | 0.488873i | ||||
\(442\) | −2.23320 | − | 1.95109i | −0.106223 | − | 0.0928038i | ||||
\(443\) | 6.97481 | − | 5.06749i | 0.331383 | − | 0.240764i | −0.409634 | − | 0.912250i | \(-0.634344\pi\) |
0.741017 | + | 0.671486i | \(0.234344\pi\) | |||||||
\(444\) | −10.4169 | + | 3.90953i | −0.494364 | + | 0.185538i | ||||
\(445\) | −0.0669032 | − | 1.48971i | −0.00317151 | − | 0.0706192i | ||||
\(446\) | −2.77398 | + | 3.47846i | −0.131352 | + | 0.164710i | ||||
\(447\) | −14.8514 | − | 15.5333i | −0.702446 | − | 0.734701i | ||||
\(448\) | −2.77780 | + | 4.20819i | −0.131239 | + | 0.198818i | ||||
\(449\) | 20.9427 | + | 10.0855i | 0.988348 | + | 0.475963i | 0.856968 | − | 0.515369i | \(-0.172345\pi\) |
0.131379 | + | 0.991332i | \(0.458059\pi\) | |||||||
\(450\) | −7.13130 | − | 1.96811i | −0.336173 | − | 0.0927778i | ||||
\(451\) | −8.83488 | − | 6.41892i | −0.416018 | − | 0.302255i | ||||
\(452\) | −3.92465 | − | 17.1950i | −0.184600 | − | 0.808785i | ||||
\(453\) | −1.07370 | + | 1.12300i | −0.0504469 | + | 0.0527633i | ||||
\(454\) | −2.62367 | − | 19.3687i | −0.123135 | − | 0.909018i | ||||
\(455\) | 0.207380 | + | 0.314167i | 0.00972213 | + | 0.0147284i | ||||
\(456\) | −1.10335 | + | 4.83410i | −0.0516692 | + | 0.226377i | ||||
\(457\) | −1.49569 | + | 1.30675i | −0.0699656 | + | 0.0611271i | −0.692211 | − | 0.721695i | \(-0.743363\pi\) |
0.622246 | + | 0.782822i | \(0.286220\pi\) | |||||||
\(458\) | −1.54500 | − | 1.93737i | −0.0721932 | − | 0.0905274i | ||||
\(459\) | −2.08481 | + | 15.3907i | −0.0973104 | + | 0.718374i | ||||
\(460\) | −1.77151 | + | 0.853112i | −0.0825969 | + | 0.0397766i | ||||
\(461\) | −11.8272 | + | 2.14633i | −0.550850 | + | 0.0999645i | −0.446843 | − | 0.894612i | \(-0.647452\pi\) |
−0.104006 | + | 0.994577i | \(0.533166\pi\) | |||||||
\(462\) | −1.11685 | + | 0.202679i | −0.0519608 | + | 0.00942949i | ||||
\(463\) | −15.5897 | + | 7.50762i | −0.724516 | + | 0.348909i | −0.759525 | − | 0.650478i | \(-0.774568\pi\) |
0.0350084 | + | 0.999387i | \(0.488854\pi\) | |||||||
\(464\) | −0.00511925 | + | 0.0377918i | −0.000237655 | + | 0.00175444i | ||||
\(465\) | 1.78813 | + | 2.24225i | 0.0829226 | + | 0.103982i | ||||
\(466\) | −5.74193 | + | 5.01657i | −0.265990 | + | 0.232388i | ||||
\(467\) | 2.64234 | − | 11.5769i | 0.122273 | − | 0.535713i | −0.876273 | − | 0.481814i | \(-0.839978\pi\) |
0.998546 | − | 0.0538987i | \(-0.0171648\pi\) | |||||||
\(468\) | −1.39248 | − | 2.10952i | −0.0643675 | − | 0.0975125i | ||||
\(469\) | −1.18108 | − | 8.71908i | −0.0545372 | − | 0.402610i | ||||
\(470\) | 0.520369 | − | 0.544263i | 0.0240028 | − | 0.0251050i | ||||
\(471\) | 4.15965 | + | 18.2246i | 0.191666 | + | 0.839745i | ||||
\(472\) | 14.5023 | + | 10.5365i | 0.667522 | + | 0.484983i | ||||
\(473\) | 0.512709 | + | 0.141499i | 0.0235744 | + | 0.00650612i | ||||
\(474\) | −11.2425 | − | 5.41412i | −0.516387 | − | 0.248679i | ||||
\(475\) | 4.22511 | − | 6.40076i | 0.193861 | − | 0.293687i | ||||
\(476\) | −2.60695 | − | 2.72666i | −0.119489 | − | 0.124976i | ||||
\(477\) | 4.81948 | − | 6.04343i | 0.220669 | − | 0.276710i | ||||
\(478\) | 0.914870 | + | 20.3712i | 0.0418452 | + | 0.931756i | ||||
\(479\) | 11.0443 | − | 4.14498i | 0.504626 | − | 0.189389i | −0.0860616 | − | 0.996290i | \(-0.527428\pi\) |
0.590687 | + | 0.806901i | \(0.298857\pi\) | |||||||
\(480\) | −1.59824 | + | 1.16119i | −0.0729492 | + | 0.0530007i | ||||
\(481\) | −7.00396 | − | 6.11917i | −0.319353 | − | 0.279010i | ||||
\(482\) | 0.137072 | − | 3.05215i | 0.00624347 | − | 0.139022i | ||||
\(483\) | −1.84140 | − | 5.66726i | −0.0837868 | − | 0.257869i | ||||
\(484\) | −4.76986 | − | 11.1596i | −0.216812 | − | 0.507257i | ||||
\(485\) | −5.60787 | − | 0.504717i | −0.254640 | − | 0.0229180i | ||||
\(486\) | 5.15682 | − | 12.0650i | 0.233918 | − | 0.547279i | ||||
\(487\) | −13.3750 | + | 24.8548i | −0.606077 | + | 1.12628i | 0.373956 | + | 0.927446i | \(0.378001\pi\) |
−0.980033 | + | 0.198833i | \(0.936285\pi\) | |||||||
\(488\) | 18.8107 | − | 11.2389i | 0.851520 | − | 0.508760i | ||||
\(489\) | 12.6979 | + | 7.58666i | 0.574220 | + | 0.343080i | ||||
\(490\) | 0.755063 | + | 1.40314i | 0.0341103 | + | 0.0633875i | ||||
\(491\) | 14.3122 | − | 1.28812i | 0.645901 | − | 0.0581321i | 0.238154 | − | 0.971227i | \(-0.423458\pi\) |
0.407746 | + | 0.913095i | \(0.366315\pi\) | |||||||
\(492\) | 4.22440 | − | 13.0014i | 0.190451 | − | 0.586147i | ||||
\(493\) | 2.68014 | + | 1.00587i | 0.120708 | + | 0.0453023i | ||||
\(494\) | −1.53269 | + | 0.422997i | −0.0689592 | + | 0.0190315i | ||||
\(495\) | 0.591340 | + | 0.107312i | 0.0265788 | + | 0.00482334i | ||||
\(496\) | 0.320048 | 0.0143706 | ||||||||
\(497\) | −2.97371 | − | 8.23461i | −0.133389 | − | 0.369373i | ||||
\(498\) | −4.62965 | −0.207460 | ||||||||
\(499\) | 1.50605 | + | 0.273308i | 0.0674201 | + | 0.0122349i | 0.212162 | − | 0.977234i | \(-0.431950\pi\) |
−0.144742 | + | 0.989469i | \(0.546235\pi\) | |||||||
\(500\) | 3.68027 | − | 1.01569i | 0.164587 | − | 0.0454230i | ||||
\(501\) | 12.7340 | + | 4.77913i | 0.568911 | + | 0.213516i | ||||
\(502\) | −1.56908 | + | 4.82913i | −0.0700315 | + | 0.215535i | ||||
\(503\) | 7.63881 | − | 0.687505i | 0.340598 | − | 0.0306543i | 0.0819796 | − | 0.996634i | \(-0.473876\pi\) |
0.258618 | + | 0.965980i | \(0.416733\pi\) | |||||||
\(504\) | 2.41002 | + | 4.47856i | 0.107351 | + | 0.199491i | ||||
\(505\) | 3.65831 | + | 2.18574i | 0.162793 | + | 0.0972640i | ||||
\(506\) | 4.25438 | − | 2.54188i | 0.189130 | − | 0.113000i | ||||
\(507\) | 6.19721 | − | 11.5164i | 0.275228 | − | 0.511459i | ||||
\(508\) | −5.45145 | + | 12.7543i | −0.241869 | + | 0.565880i | ||||
\(509\) | 28.2394 | + | 2.54159i | 1.25169 | + | 0.112654i | 0.695575 | − | 0.718453i | \(-0.255150\pi\) |
0.556112 | + | 0.831107i | \(0.312292\pi\) | |||||||
\(510\) | 0.346901 | + | 0.811616i | 0.0153610 | + | 0.0359389i | ||||
\(511\) | 1.73196 | + | 5.33043i | 0.0766175 | + | 0.235804i | ||||
\(512\) | −0.0197229 | + | 0.439163i | −0.000871635 | + | 0.0194085i | ||||
\(513\) | 6.27112 | + | 5.47892i | 0.276877 | + | 0.241900i | ||||
\(514\) | −1.32579 | + | 0.963244i | −0.0584781 | + | 0.0424869i | ||||
\(515\) | −2.23445 | + | 0.838604i | −0.0984618 | + | 0.0369533i | ||||
\(516\) | 0.0298715 | + | 0.665140i | 0.00131502 | + | 0.0292811i | ||||
\(517\) | 1.95027 | − | 2.44556i | 0.0857727 | − | 0.107556i | ||||
\(518\) | 4.96097 | + | 5.18877i | 0.217972 | + | 0.227981i | ||||
\(519\) | 4.19109 | − | 6.34923i | 0.183969 | − | 0.278700i | ||||
\(520\) | −0.920455 | − | 0.443268i | −0.0403646 | − | 0.0194386i | ||||
\(521\) | 24.0371 | + | 6.63382i | 1.05308 | + | 0.290633i | 0.749384 | − | 0.662135i | \(-0.230350\pi\) |
0.303700 | + | 0.952768i | \(0.401778\pi\) | |||||||
\(522\) | −1.19778 | − | 0.870236i | −0.0524253 | − | 0.0380892i | ||||
\(523\) | 2.57097 | + | 11.2641i | 0.112421 | + | 0.492547i | 0.999520 | + | 0.0309690i | \(0.00985932\pi\) |
−0.887100 | + | 0.461578i | \(0.847284\pi\) | |||||||
\(524\) | 10.3497 | − | 10.8250i | 0.452130 | − | 0.472891i | ||||
\(525\) | 0.769055 | + | 5.67739i | 0.0335643 | + | 0.247782i | ||||
\(526\) | 2.21122 | + | 3.34986i | 0.0964139 | + | 0.146061i | ||||
\(527\) | 5.34581 | − | 23.4215i | 0.232867 | − | 1.02026i | ||||
\(528\) | −0.0367846 | + | 0.0321377i | −0.00160084 | + | 0.00139861i | ||||
\(529\) | 1.88104 | + | 2.35875i | 0.0817843 | + | 0.102554i | ||||
\(530\) | 0.160880 | − | 1.18767i | 0.00698820 | − | 0.0515890i | ||||
\(531\) | 9.94173 | − | 4.78768i | 0.431434 | − | 0.207768i | ||||
\(532\) | −1.99014 | + | 0.361157i | −0.0862834 | + | 0.0156581i | ||||
\(533\) | 11.2435 | − | 2.04039i | 0.487008 | − | 0.0883790i | ||||
\(534\) | −4.23915 | + | 2.04147i | −0.183446 | + | 0.0883430i | ||||
\(535\) | −0.806592 | + | 5.95450i | −0.0348720 | + | 0.257436i | ||||
\(536\) | 14.8883 | + | 18.6693i | 0.643076 | + | 0.806391i | ||||
\(537\) | 17.4285 | − | 15.2268i | 0.752095 | − | 0.657086i | ||||
\(538\) | 3.17756 | − | 13.9218i | 0.136994 | − | 0.600212i | ||||
\(539\) | 3.64642 | + | 5.52409i | 0.157063 | + | 0.237940i | ||||
\(540\) | 0.275528 | + | 2.03403i | 0.0118568 | + | 0.0875306i | ||||
\(541\) | −21.7498 | + | 22.7485i | −0.935095 | + | 0.978033i | −0.999803 | − | 0.0198712i | \(-0.993674\pi\) |
0.0647072 | + | 0.997904i | \(0.479389\pi\) | |||||||
\(542\) | −3.12638 | − | 13.6976i | −0.134289 | − | 0.588361i | ||||
\(543\) | −19.3572 | − | 14.0638i | −0.830697 | − | 0.603537i | ||||
\(544\) | 15.9520 | + | 4.40248i | 0.683938 | + | 0.188755i | ||||
\(545\) | 2.53894 | + | 1.22269i | 0.108756 | + | 0.0523742i | ||||
\(546\) | 0.654328 | − | 0.991265i | 0.0280027 | − | 0.0424222i | ||||
\(547\) | −18.8830 | − | 19.7500i | −0.807378 | − | 0.844451i | 0.182961 | − | 0.983120i | \(-0.441432\pi\) |
−0.990339 | + | 0.138669i | \(0.955717\pi\) | |||||||
\(548\) | −1.14106 | + | 1.43084i | −0.0487435 | + | 0.0611224i | ||||
\(549\) | −0.605160 | − | 13.4749i | −0.0258276 | − | 0.575096i | ||||
\(550\) | −4.46105 | + | 1.67426i | −0.190220 | + | 0.0713907i | ||||
\(551\) | 1.24175 | − | 0.902185i | 0.0529004 | − | 0.0384344i | ||||
\(552\) | 12.1786 | + | 10.6402i | 0.518358 | + | 0.452875i | ||||
\(553\) | 0.595303 | − | 13.2554i | 0.0253148 | − | 0.563679i | ||||
\(554\) | −5.99330 | − | 18.4455i | −0.254631 | − | 0.783673i | ||||
\(555\) | 1.08798 | + | 2.54546i | 0.0461822 | + | 0.108049i | ||||
\(556\) | 17.7327 | + | 1.59597i | 0.752035 | + | 0.0676843i | ||||
\(557\) | −18.1886 | + | 42.5543i | −0.770676 | + | 1.80309i | −0.204362 | + | 0.978895i | \(0.565512\pi\) |
−0.566313 | + | 0.824190i | \(0.691631\pi\) | |||||||
\(558\) | −5.88770 | + | 10.9412i | −0.249246 | + | 0.463177i | ||||
\(559\) | −0.477769 | + | 0.285454i | −0.0202075 | + | 0.0120734i | ||||
\(560\) | −0.0107337 | − | 0.00641309i | −0.000453582 | − | 0.000271003i | ||||
\(561\) | 1.73746 | + | 3.22874i | 0.0733556 | + | 0.136318i | ||||
\(562\) | −11.1697 | + | 1.00529i | −0.471165 | + | 0.0424056i | ||||
\(563\) | 1.43563 | − | 4.41841i | 0.0605046 | − | 0.186214i | −0.916236 | − | 0.400640i | \(-0.868788\pi\) |
0.976740 | + | 0.214426i | \(0.0687880\pi\) | |||||||
\(564\) | 3.66597 | + | 1.37586i | 0.154365 | + | 0.0579343i | ||||
\(565\) | −4.22997 | + | 1.16740i | −0.177956 | + | 0.0491128i | ||||
\(566\) | 17.0212 | + | 3.08890i | 0.715455 | + | 0.129836i | ||||
\(567\) | −0.809979 | −0.0340159 | ||||||||
\(568\) | 18.3903 | + | 15.0454i | 0.771640 | + | 0.631289i | ||||
\(569\) | −25.7744 | −1.08052 | −0.540259 | − | 0.841499i | \(-0.681674\pi\) | ||||
−0.540259 | + | 0.841499i | \(0.681674\pi\) | |||||||
\(570\) | 0.465643 | + | 0.0845018i | 0.0195036 | + | 0.00353939i | ||||
\(571\) | −15.6231 | + | 4.31169i | −0.653804 | + | 0.180439i | −0.577174 | − | 0.816621i | \(-0.695845\pi\) |
−0.0766301 | + | 0.997060i | \(0.524416\pi\) | |||||||
\(572\) | −1.52422 | − | 0.572049i | −0.0637308 | − | 0.0239186i | ||||
\(573\) | 1.95317 | − | 6.01125i | 0.0815950 | − | 0.251124i | ||||
\(574\) | −8.78468 | + | 0.790635i | −0.366665 | + | 0.0330005i | ||||
\(575\) | −11.8535 | − | 22.0274i | −0.494323 | − | 0.918606i | ||||
\(576\) | −7.23128 | − | 4.32049i | −0.301303 | − | 0.180020i | ||||
\(577\) | −3.26230 | + | 1.94913i | −0.135811 | + | 0.0811435i | −0.579198 | − | 0.815187i | \(-0.696634\pi\) |
0.443386 | + | 0.896331i | \(0.353777\pi\) | |||||||
\(578\) | −3.49731 | + | 6.49909i | −0.145469 | + | 0.270327i | ||||
\(579\) | 6.35081 | − | 14.8585i | 0.263931 | − | 0.617496i | ||||
\(580\) | 0.376809 | + | 0.0339134i | 0.0156461 | + | 0.00140818i | ||||
\(581\) | −1.93484 | − | 4.52679i | −0.0802709 | − | 0.187803i | ||||
\(582\) | 5.48986 | + | 16.8960i | 0.227562 | + | 0.700363i | ||||
\(583\) | 0.223368 | − | 4.97367i | 0.00925095 | − | 0.205988i | ||||
\(584\) | −11.4548 | − | 10.0078i | −0.474004 | − | 0.414125i | ||||
\(585\) | −0.508773 | + | 0.369645i | −0.0210352 | + | 0.0152829i | ||||
\(586\) | −18.7327 | + | 7.03050i | −0.773840 | + | 0.290427i | ||||
\(587\) | 1.41047 | + | 31.4066i | 0.0582164 | + | 1.29629i | 0.789303 | + | 0.614004i | \(0.210442\pi\) |
−0.731086 | + | 0.682285i | \(0.760986\pi\) | |||||||
\(588\) | −5.16613 | + | 6.47812i | −0.213048 | + | 0.267153i | ||||
\(589\) | −8.90151 | − | 9.31024i | −0.366780 | − | 0.383622i | ||||
\(590\) | 0.942530 | − | 1.42787i | 0.0388033 | − | 0.0587845i | ||||
\(591\) | 0.00523398 | + | 0.00252055i | 0.000215297 | + | 0.000103682i | ||||
\(592\) | 0.297787 | + | 0.0821841i | 0.0122390 | + | 0.00337775i | ||||
\(593\) | −38.8045 | − | 28.1932i | −1.59351 | − | 1.15775i | −0.898701 | − | 0.438561i | \(-0.855488\pi\) |
−0.694810 | − | 0.719193i | \(-0.744512\pi\) | |||||||
\(594\) | −1.15124 | − | 5.04391i | −0.0472359 | − | 0.206954i | ||||
\(595\) | −0.648605 | + | 0.678387i | −0.0265902 | + | 0.0278112i | ||||
\(596\) | 3.19361 | + | 23.5762i | 0.130815 | + | 0.965717i | ||||
\(597\) | 8.60213 | + | 13.0317i | 0.352062 | + | 0.533351i | ||||
\(598\) | −1.15395 | + | 5.05577i | −0.0471884 | + | 0.206746i | ||||
\(599\) | −34.6931 | + | 30.3105i | −1.41752 | + | 1.23845i | −0.486406 | + | 0.873733i | \(0.661692\pi\) |
−0.931117 | + | 0.364720i | \(0.881165\pi\) | |||||||
\(600\) | −9.69444 | − | 12.1564i | −0.395774 | − | 0.496285i | ||||
\(601\) | 4.04258 | − | 29.8435i | 0.164900 | − | 1.21734i | −0.699535 | − | 0.714598i | \(-0.746610\pi\) |
0.864435 | − | 0.502744i | \(-0.167676\pi\) | |||||||
\(602\) | 0.387040 | − | 0.186388i | 0.0157746 | − | 0.00759662i | ||||
\(603\) | 14.4628 | − | 2.62461i | 0.588971 | − | 0.106883i | ||||
\(604\) | 1.69240 | − | 0.307125i | 0.0688627 | − | 0.0124967i | ||||
\(605\) | −2.72046 | + | 1.31011i | −0.110603 | + | 0.0532634i | ||||
\(606\) | 1.80491 | − | 13.3244i | 0.0733193 | − | 0.541265i | ||||
\(607\) | −13.4206 | − | 16.8289i | −0.544726 | − | 0.683065i | 0.430926 | − | 0.902387i | \(-0.358187\pi\) |
−0.975653 | + | 0.219322i | \(0.929615\pi\) | |||||||
\(608\) | 6.68183 | − | 5.83774i | 0.270984 | − | 0.236752i | ||||
\(609\) | −0.255140 | + | 1.11784i | −0.0103388 | + | 0.0452972i | ||||
\(610\) | −1.15214 | − | 1.74542i | −0.0466490 | − | 0.0706702i | ||||
\(611\) | 0.439358 | + | 3.24347i | 0.0177745 | + | 0.131217i | ||||
\(612\) | 4.35514 | − | 4.55512i | 0.176046 | − | 0.184130i | ||||
\(613\) | 3.76555 | + | 16.4980i | 0.152089 | + | 0.666346i | 0.992276 | + | 0.124049i | \(0.0395881\pi\) |
−0.840187 | + | 0.542297i | \(0.817555\pi\) | |||||||
\(614\) | −15.9097 | − | 11.5591i | −0.642064 | − | 0.466487i | ||||
\(615\) | −3.27861 | − | 0.904840i | −0.132206 | − | 0.0364867i | ||||
\(616\) | 2.95132 | + | 1.42128i | 0.118912 | + | 0.0572649i | ||||
\(617\) | 15.3653 | − | 23.2774i | 0.618582 | − | 0.937112i | −0.381337 | − | 0.924436i | \(-0.624536\pi\) |
0.999920 | − | 0.0126763i | \(-0.00403509\pi\) | |||||||
\(618\) | 5.20394 | + | 5.44290i | 0.209333 | + | 0.218945i | ||||
\(619\) | −29.6951 | + | 37.2364i | −1.19355 | + | 1.49666i | −0.370359 | + | 0.928889i | \(0.620765\pi\) |
−0.823187 | + | 0.567770i | \(0.807806\pi\) | |||||||
\(620\) | −0.142445 | − | 3.17179i | −0.00572074 | − | 0.127382i | ||||
\(621\) | 25.4281 | − | 9.54332i | 1.02039 | − | 0.382960i | ||||
\(622\) | 10.4304 | − | 7.57815i | 0.418222 | − | 0.303856i | ||||
\(623\) | −3.76776 | − | 3.29179i | −0.150952 | − | 0.131883i | ||||
\(624\) | 0.00229313 | − | 0.0510605i | 9.17986e−5 | − | 0.00204405i | ||||
\(625\) | 7.28371 | + | 22.4170i | 0.291348 | + | 0.896678i | ||||
\(626\) | 10.1906 | + | 23.8420i | 0.407297 | + | 0.952919i | ||||
\(627\) | 1.95798 | + | 0.176222i | 0.0781943 | + | 0.00703761i | ||||
\(628\) | 8.13351 | − | 19.0293i | 0.324562 | − | 0.759351i | ||||
\(629\) | 10.9883 | − | 20.4197i | 0.438133 | − | 0.814188i | ||||
\(630\) | 0.416699 | − | 0.248966i | 0.0166017 | − | 0.00991904i | ||||
\(631\) | −19.4641 | − | 11.6292i | −0.774853 | − | 0.462953i | 0.0702681 | − | 0.997528i | \(-0.477615\pi\) |
−0.845121 | + | 0.534575i | \(0.820472\pi\) | |||||||
\(632\) | 17.0642 | + | 31.7106i | 0.678777 | + | 1.26138i | ||||
\(633\) | −13.4969 | + | 1.21475i | −0.536455 | + | 0.0482818i | ||||
\(634\) | −1.36100 | + | 4.18874i | −0.0540524 | + | 0.166356i | ||||
\(635\) | 3.23090 | + | 1.21258i | 0.128214 | + | 0.0481197i | ||||
\(636\) | 6.00778 | − | 1.65804i | 0.238224 | − | 0.0657457i | ||||
\(637\) | −6.81480 | − | 1.23670i | −0.270012 | − | 0.0490000i | ||||
\(638\) | −0.953592 | −0.0377531 | ||||||||
\(639\) | 13.5199 | − | 5.58003i | 0.534840 | − | 0.220743i | ||||
\(640\) | 2.20795 | 0.0872769 | ||||||||
\(641\) | −7.48128 | − | 1.35765i | −0.295493 | − | 0.0536240i | 0.0287860 | − | 0.999586i | \(-0.490836\pi\) |
−0.324279 | + | 0.945962i | \(0.605122\pi\) | |||||||
\(642\) | 18.2761 | − | 5.04388i | 0.721299 | − | 0.199066i | ||||
\(643\) | 3.96443 | + | 1.48787i | 0.156342 | + | 0.0586760i | 0.428319 | − | 0.903628i | \(-0.359106\pi\) |
−0.271977 | + | 0.962304i | \(0.587677\pi\) | |||||||
\(644\) | −2.03855 | + | 6.27401i | −0.0803301 | + | 0.247231i | ||||
\(645\) | 0.164986 | − | 0.0148490i | 0.00649630 | − | 0.000584678i | ||||
\(646\) | −1.87854 | − | 3.49090i | −0.0739100 | − | 0.137348i | ||||
\(647\) | −5.96663 | − | 3.56490i | −0.234572 | − | 0.140151i | 0.390803 | − | 0.920474i | \(-0.372197\pi\) |
−0.625376 | + | 0.780324i | \(0.715054\pi\) | |||||||
\(648\) | 1.88705 | − | 1.12746i | 0.0741305 | − | 0.0442909i | ||||
\(649\) | 3.36786 | − | 6.25853i | 0.132200 | − | 0.245669i | ||||
\(650\) | 1.95959 | − | 4.58469i | 0.0768615 | − | 0.179826i | ||||
\(651\) | 9.58350 | + | 0.862531i | 0.375607 | + | 0.0338052i | ||||
\(652\) | −6.43592 | − | 15.0576i | −0.252050 | − | 0.589701i | ||||
\(653\) | 2.66892 | + | 8.21411i | 0.104443 | + | 0.321443i | 0.989599 | − | 0.143851i | \(-0.0459486\pi\) |
−0.885156 | + | 0.465294i | \(0.845949\pi\) | |||||||
\(654\) | 0.398912 | − | 8.88247i | 0.0155987 | − | 0.347332i | ||||
\(655\) | −2.80605 | − | 2.45157i | −0.109641 | − | 0.0957907i | ||||
\(656\) | −0.307066 | + | 0.223097i | −0.0119889 | + | 0.00871047i | ||||
\(657\) | −8.76618 | + | 3.29000i | −0.342001 | + | 0.128355i | ||||
\(658\) | −0.113346 | − | 2.52384i | −0.00441868 | − | 0.0983896i | ||||
\(659\) | 3.19448 | − | 4.00575i | 0.124439 | − | 0.156042i | −0.715709 | − | 0.698399i | \(-0.753896\pi\) |
0.840148 | + | 0.542356i | \(0.182468\pi\) | |||||||
\(660\) | 0.334868 | + | 0.350245i | 0.0130347 | + | 0.0136333i | ||||
\(661\) | −18.0617 | + | 27.3623i | −0.702519 | + | 1.06427i | 0.291659 | + | 0.956522i | \(0.405793\pi\) |
−0.994178 | + | 0.107748i | \(0.965636\pi\) | |||||||
\(662\) | −8.72285 | − | 4.20070i | −0.339023 | − | 0.163265i | ||||
\(663\) | −3.69837 | − | 1.02068i | −0.143633 | − | 0.0396401i | ||||
\(664\) | 10.8089 | + | 7.85309i | 0.419465 | + | 0.304759i | ||||
\(665\) | 0.111979 | + | 0.490613i | 0.00434237 | + | 0.0190252i | ||||
\(666\) | −8.28774 | + | 8.66830i | −0.321143 | + | 0.335890i | ||||
\(667\) | −0.671981 | − | 4.96076i | −0.0260192 | − | 0.192081i | ||||
\(668\) | −8.29509 | − | 12.5665i | −0.320947 | − | 0.486213i | ||||
\(669\) | −1.28086 | + | 5.61183i | −0.0495211 | + | 0.216966i | ||||
\(670\) | 1.71632 | − | 1.49950i | 0.0663071 | − | 0.0579308i | ||||
\(671\) | −5.41673 | − | 6.79237i | −0.209111 | − | 0.262216i | ||||
\(672\) | −0.889712 | + | 6.56812i | −0.0343214 | + | 0.253371i | ||||
\(673\) | 16.0654 | − | 7.73670i | 0.619277 | − | 0.298228i | −0.0978173 | − | 0.995204i | \(-0.531186\pi\) |
0.717094 | + | 0.696976i | \(0.245472\pi\) | |||||||
\(674\) | 6.69616 | − | 1.21517i | 0.257927 | − | 0.0468068i | ||||
\(675\) | −25.6935 | + | 4.66268i | −0.988943 | + | 0.179467i | ||||
\(676\) | −13.0443 | + | 6.28180i | −0.501703 | + | 0.241608i | ||||
\(677\) | −1.55943 | + | 11.5122i | −0.0599338 | + | 0.442449i | 0.935974 | + | 0.352070i | \(0.114522\pi\) |
−0.995907 | + | 0.0903791i | \(0.971192\pi\) | |||||||
\(678\) | 8.63247 | + | 10.8248i | 0.331528 | + | 0.415723i | ||||
\(679\) | −14.2263 | + | 12.4291i | −0.545955 | + | 0.476987i | ||||
\(680\) | 0.566800 | − | 2.48331i | 0.0217358 | − | 0.0952307i | ||||
\(681\) | −13.9308 | − | 21.1043i | −0.533831 | − | 0.808719i | ||||
\(682\) | 1.07422 | + | 7.93018i | 0.0411339 | + | 0.303662i | ||||
\(683\) | −17.8645 | + | 18.6848i | −0.683568 | + | 0.714956i | −0.969989 | − | 0.243148i | \(-0.921820\pi\) |
0.286422 | + | 0.958104i | \(0.407534\pi\) | |||||||
\(684\) | −0.751899 | − | 3.29429i | −0.0287496 | − | 0.125960i | ||||
\(685\) | 0.368369 | + | 0.267636i | 0.0140746 | + | 0.0102258i | ||||
\(686\) | 11.2465 | + | 3.10383i | 0.429392 | + | 0.118505i | ||||
\(687\) | −2.88847 | − | 1.39101i | −0.110202 | − | 0.0530704i | ||||
\(688\) | 0.0101839 | − | 0.0154279i | 0.000388257 | − | 0.000588183i | ||||
\(689\) | 3.60018 | + | 3.76550i | 0.137156 | + | 0.143454i | ||||
\(690\) | 0.962362 | − | 1.20676i | 0.0366365 | − | 0.0459407i | ||||
\(691\) | −1.50342 | − | 33.4762i | −0.0571926 | − | 1.27349i | −0.798363 | − | 0.602176i | \(-0.794300\pi\) |
0.741171 | − | 0.671317i | \(-0.234271\pi\) | |||||||
\(692\) | −7.88522 | + | 2.95937i | −0.299751 | + | 0.112498i | ||||
\(693\) | 1.63131 | − | 1.18522i | 0.0619684 | − | 0.0450227i | ||||
\(694\) | −12.6887 | − | 11.0857i | −0.481655 | − | 0.420809i | ||||
\(695\) | 0.198738 | − | 4.42524i | 0.00753855 | − | 0.167859i | ||||
\(696\) | −0.961580 | − | 2.95944i | −0.0364486 | − | 0.112177i | ||||
\(697\) | 11.1975 | + | 26.1979i | 0.424137 | + | 0.992317i | ||||
\(698\) | 7.17708 | + | 0.645949i | 0.271656 | + | 0.0244495i | ||||
\(699\) | −3.87704 | + | 9.07079i | −0.146643 | + | 0.343089i | ||||
\(700\) | 3.00557 | − | 5.58529i | 0.113600 | − | 0.211104i | ||||
\(701\) | 30.3942 | − | 18.1597i | 1.14797 | − | 0.685883i | 0.192599 | − | 0.981278i | \(-0.438308\pi\) |
0.955375 | + | 0.295395i | \(0.0954511\pi\) | |||||||
\(702\) | 4.64731 | + | 2.77664i | 0.175401 | + | 0.104797i | ||||
\(703\) | −5.89163 | − | 10.9485i | −0.222207 | − | 0.412930i | ||||
\(704\) | −5.40372 | + | 0.486344i | −0.203660 | + | 0.0183298i | ||||
\(705\) | 0.301047 | − | 0.926527i | 0.0113381 | − | 0.0348950i | ||||
\(706\) | −7.53172 | − | 2.82670i | −0.283460 | − | 0.106384i | ||||
\(707\) | 13.7826 | − | 3.80376i | 0.518349 | − | 0.143055i | ||||
\(708\) | 8.75386 | + | 1.58859i | 0.328990 | + | 0.0597029i | ||||
\(709\) | −1.65180 | −0.0620347 | −0.0310174 | − | 0.999519i | \(-0.509875\pi\) | ||||
−0.0310174 | + | 0.999519i | \(0.509875\pi\) | |||||||
\(710\) | 1.35579 | − | 1.81789i | 0.0508817 | − | 0.0682243i | ||||
\(711\) | 22.1667 | 0.831317 | ||||||||
\(712\) | 13.3600 | + | 2.42448i | 0.500687 | + | 0.0908614i | ||||
\(713\) | −40.4973 | + | 11.1765i | −1.51664 | + | 0.418565i | ||||
\(714\) | 2.77253 | + | 1.04055i | 0.103759 | + | 0.0389415i | ||||
\(715\) | −0.125168 | + | 0.385227i | −0.00468101 | + | 0.0144067i | ||||
\(716\) | −25.5179 | + | 2.29665i | −0.953647 | + | 0.0858298i | ||||
\(717\) | 12.5017 | + | 23.2321i | 0.466885 | + | 0.867618i | ||||
\(718\) | 13.9656 | + | 8.34406i | 0.521192 | + | 0.311398i | ||||
\(719\) | 33.1208 | − | 19.7888i | 1.23520 | − | 0.737996i | 0.261360 | − | 0.965241i | \(-0.415829\pi\) |
0.973838 | + | 0.227245i | \(0.0729720\pi\) | |||||||
\(720\) | 0.00989836 | − | 0.0183942i | 0.000368890 | − | 0.000685512i | ||||
\(721\) | −3.14712 | + | 7.36304i | −0.117205 | + | 0.274214i | ||||
\(722\) | 14.3286 | + | 1.28960i | 0.533257 | + | 0.0479940i | ||||
\(723\) | −1.55354 | − | 3.63469i | −0.0577767 | − | 0.135175i | ||||
\(724\) | 8.18539 | + | 25.1920i | 0.304208 | + | 0.936255i | ||||
\(725\) | −0.215940 | + | 4.80828i | −0.00801981 | + | 0.178575i | ||||
\(726\) | 7.17460 | + | 6.26826i | 0.266275 | + | 0.232637i | ||||
\(727\) | −1.45097 | + | 1.05419i | −0.0538135 | + | 0.0390978i | −0.614367 | − | 0.789021i | \(-0.710588\pi\) |
0.560553 | + | 0.828118i | \(0.310588\pi\) | |||||||
\(728\) | −3.20910 | + | 1.20440i | −0.118937 | + | 0.0446379i | ||||
\(729\) | −0.866522 | − | 19.2946i | −0.0320934 | − | 0.714615i | ||||
\(730\) | −0.905165 | + | 1.13504i | −0.0335016 | + | 0.0420097i | ||||
\(731\) | −0.958931 | − | 1.00296i | −0.0354673 | − | 0.0370959i | ||||
\(732\) | 5.99126 | − | 9.07637i | 0.221443 | − | 0.335472i | ||||
\(733\) | 11.0947 | + | 5.34293i | 0.409792 | + | 0.197345i | 0.627411 | − | 0.778688i | \(-0.284115\pi\) |
−0.217619 | + | 0.976034i | \(0.569829\pi\) | |||||||
\(734\) | 0.755709 | + | 0.208562i | 0.0278937 | + | 0.00769818i | ||||
\(735\) | 1.66779 | + | 1.21172i | 0.0615173 | + | 0.0446949i | ||||
\(736\) | −6.43947 | − | 28.2131i | −0.237362 | − | 1.03995i | ||||
\(737\) | 6.54260 | − | 6.84302i | 0.241000 | − | 0.252066i | ||||
\(738\) | −1.97791 | − | 14.6016i | −0.0728080 | − | 0.537491i | ||||
\(739\) | −21.0558 | − | 31.8982i | −0.774552 | − | 1.17340i | −0.980823 | − | 0.194901i | \(-0.937561\pi\) |
0.206271 | − | 0.978495i | \(-0.433867\pi\) | |||||||
\(740\) | 0.681937 | − | 2.98776i | 0.0250685 | − | 0.109832i | ||||
\(741\) | −1.54914 | + | 1.35344i | −0.0569090 | + | 0.0497199i | ||||
\(742\) | −2.50714 | − | 3.14385i | −0.0920400 | − | 0.115414i | ||||
\(743\) | −1.04916 | + | 7.74520i | −0.0384899 | + | 0.284144i | 0.961468 | + | 0.274918i | \(0.0886509\pi\) |
−0.999957 | + | 0.00922538i | \(0.997063\pi\) | |||||||
\(744\) | −23.5278 | + | 11.3304i | −0.862572 | + | 0.415393i | ||||
\(745\) | 5.82415 | − | 1.05693i | 0.213380 | − | 0.0387228i | ||||
\(746\) | 25.3591 | − | 4.60200i | 0.928463 | − | 0.168491i | ||||
\(747\) | 7.40978 | − | 3.56836i | 0.271110 | − | 0.130560i | ||||
\(748\) | 0.544865 | − | 4.02236i | 0.0199223 | − | 0.147072i | ||||
\(749\) | 12.5698 | + | 15.7621i | 0.459291 | + | 0.575933i | ||||
\(750\) | −2.25700 | + | 1.97188i | −0.0824140 | + | 0.0720029i | ||||
\(751\) | −4.64498 | + | 20.3510i | −0.169498 | + | 0.742618i | 0.816702 | + | 0.577059i | \(0.195800\pi\) |
−0.986200 | + | 0.165558i | \(0.947057\pi\) | |||||||
\(752\) | −0.0598918 | − | 0.0907322i | −0.00218403 | − | 0.00330866i | ||||
\(753\) | 0.881823 | + | 6.50988i | 0.0321354 | + | 0.237233i | ||||
\(754\) | 0.689561 | − | 0.721224i | 0.0251123 | − | 0.0262654i | ||||
\(755\) | −0.0952262 | − | 0.417213i | −0.00346564 | − | 0.0151839i | ||||
\(756\) | 5.57146 | + | 4.04790i | 0.202632 | + | 0.147221i | ||||
\(757\) | 41.9681 | + | 11.5825i | 1.52536 | + | 0.420972i | 0.925378 | − | 0.379045i | \(-0.123747\pi\) |
0.599978 | + | 0.800016i | \(0.295176\pi\) | |||||||
\(758\) | −7.76306 | − | 3.73849i | −0.281967 | − | 0.135788i | ||||
\(759\) | 3.53224 | − | 5.35112i | 0.128212 | − | 0.194233i | ||||
\(760\) | −0.943800 | − | 0.987138i | −0.0342352 | − | 0.0358072i | ||||
\(761\) | −3.96526 | + | 4.97228i | −0.143741 | + | 0.180245i | −0.848490 | − | 0.529211i | \(-0.822488\pi\) |
0.704750 | + | 0.709456i | \(0.251059\pi\) | |||||||
\(762\) | −0.488510 | − | 10.8775i | −0.0176969 | − | 0.394051i | ||||
\(763\) | 8.85183 | − | 3.32215i | 0.320458 | − | 0.120270i | ||||
\(764\) | −5.66094 | + | 4.11291i | −0.204805 | + | 0.148800i | ||||
\(765\) | −1.18078 | − | 1.03162i | −0.0426912 | − | 0.0372981i | ||||
\(766\) | −1.31962 | + | 29.3836i | −0.0476797 | + | 1.06167i | ||||
\(767\) | 2.29811 | + | 7.07286i | 0.0829800 | + | 0.255386i | ||||
\(768\) | −7.02703 | − | 16.4406i | −0.253566 | − | 0.593247i | ||||
\(769\) | −7.70121 | − | 0.693121i | −0.277713 | − | 0.0249946i | −0.0500925 | − | 0.998745i | \(-0.515952\pi\) |
−0.227620 | + | 0.973750i | \(0.573094\pi\) | |||||||
\(770\) | 0.122877 | − | 0.287486i | 0.00442820 | − | 0.0103603i | ||||
\(771\) | −1.00469 | + | 1.86703i | −0.0361832 | + | 0.0672396i | ||||
\(772\) | −15.3566 | + | 9.17515i | −0.552696 | + | 0.330221i | ||||
\(773\) | 16.9927 | + | 10.1527i | 0.611186 | + | 0.365167i | 0.784893 | − | 0.619631i | \(-0.212718\pi\) |
−0.173708 | + | 0.984797i | \(0.555575\pi\) | |||||||
\(774\) | 0.340074 | + | 0.631963i | 0.0122237 | + | 0.0227154i | ||||
\(775\) | 40.2295 | − | 3.62072i | 1.44509 | − | 0.130060i | ||||
\(776\) | 15.8429 | − | 48.7594i | 0.568726 | − | 1.75036i | ||||
\(777\) | 8.69545 | + | 3.26346i | 0.311948 | + | 0.117076i | ||||
\(778\) | 12.0678 | − | 3.33051i | 0.432652 | − | 0.119404i | ||||
\(779\) | 15.0304 | + | 2.72761i | 0.538519 | + | 0.0977268i | ||||
\(780\) | −0.507049 | −0.0181553 | ||||||||
\(781\) | 4.93241 | − | 8.02606i | 0.176495 | − | 0.287195i | ||||
\(782\) | −12.9295 | −0.462357 | ||||||||
\(783\) | −5.14201 | − | 0.933138i | −0.183761 | − | 0.0333476i | ||||
\(784\) | 0.221763 | − | 0.0612026i | 0.00792010 | − | 0.00218581i | ||||
\(785\) | −4.82047 | − | 1.80915i | −0.172050 | − | 0.0645715i | ||||
\(786\) | −3.63304 | + | 11.1813i | −0.129586 | + | 0.398825i | ||||
\(787\) | 46.4409 | − | 4.17976i | 1.65544 | − | 0.148992i | 0.777865 | − | 0.628432i | \(-0.216303\pi\) |
0.877575 | + | 0.479440i | \(0.159160\pi\) | |||||||
\(788\) | −0.00304756 | − | 0.00566332i | −0.000108565 | − | 0.000201747i | ||||
\(789\) | 4.45795 | + | 2.66350i | 0.158707 | + | 0.0948231i | ||||
\(790\) | 2.95045 | − | 1.76281i | 0.104972 | − | 0.0627180i | ||||
\(791\) | −6.97656 | + | 12.9646i | −0.248058 | + | 0.460969i | ||||
\(792\) | −2.15078 | + | 5.03200i | −0.0764246 | + | 0.178804i | ||||
\(793\) | 9.05418 | + | 0.814891i | 0.321523 | + | 0.0289376i | ||||
\(794\) | −1.62663 | − | 3.80569i | −0.0577269 | − | 0.135059i | ||||
\(795\) | −0.479163 | − | 1.47471i | −0.0169942 | − | 0.0523027i | ||||
\(796\) | 0.775557 | − | 17.2691i | 0.0274889 | − | 0.612088i | ||||
\(797\) | 8.63205 | + | 7.54160i | 0.305763 | + | 0.267137i | 0.797120 | − | 0.603821i | \(-0.206356\pi\) |
−0.491357 | + | 0.870958i | \(0.663499\pi\) | |||||||
\(798\) | 1.28456 | − | 0.933284i | 0.0454728 | − | 0.0330379i | ||||
\(799\) | −7.64028 | + | 2.86744i | −0.270294 | + | 0.101443i | ||||
\(800\) | 1.24829 | + | 27.7953i | 0.0441337 | + | 0.982714i | ||||
\(801\) | 5.21129 | − | 6.53476i | 0.184132 | − | 0.230894i | ||||
\(802\) | −7.70067 | − | 8.05427i | −0.271920 | − | 0.284406i | ||||
\(803\) | −3.32231 | + | 5.03308i | −0.117242 | + | 0.177614i | ||||
\(804\) | 10.6778 | + | 5.14216i | 0.376577 | + | 0.181350i | ||||
\(805\) | 1.58215 | + | 0.436645i | 0.0557633 | + | 0.0153897i | ||||
\(806\) | −6.77457 | − | 4.92201i | −0.238624 | − | 0.173371i | ||||
\(807\) | −4.11104 | − | 18.0117i | −0.144716 | − | 0.634041i | ||||
\(808\) | −26.8155 | + | 28.0468i | −0.943365 | + | 0.986682i | ||||
\(809\) | −3.10050 | − | 22.8888i | −0.109008 | − | 0.804728i | −0.960089 | − | 0.279694i | \(-0.909767\pi\) |
0.851081 | − | 0.525034i | \(-0.175947\pi\) | |||||||
\(810\) | −0.115581 | − | 0.175098i | −0.00406110 | − | 0.00615230i | ||||
\(811\) | −4.40603 | + | 19.3041i | −0.154717 | + | 0.677858i | 0.836759 | + | 0.547571i | \(0.184447\pi\) |
−0.991476 | + | 0.130288i | \(0.958410\pi\) | |||||||
\(812\) | 0.955907 | − | 0.835150i | 0.0335457 | − | 0.0293080i | ||||
\(813\) | −11.3334 | − | 14.2116i | −0.397478 | − | 0.498422i | ||||
\(814\) | −1.03687 | + | 7.65445i | −0.0363421 | + | 0.268289i | ||||
\(815\) | −3.67069 | + | 1.76771i | −0.128579 | + | 0.0619202i | ||||
\(816\) | 0.125387 | − | 0.0227544i | 0.00438942 | − | 0.000796563i | ||||
\(817\) | −0.732045 | + | 0.132847i | −0.0256110 | + | 0.00464771i | ||||
\(818\) | −27.9370 | + | 13.4538i | −0.976796 | + | 0.470400i | ||||
\(819\) | −0.283226 | + | 2.09085i | −0.00989670 | + | 0.0730604i | ||||
\(820\) | 2.34764 | + | 2.94385i | 0.0819831 | + | 0.102804i | ||||
\(821\) | −26.7950 | + | 23.4101i | −0.935151 | + | 0.817017i | −0.983331 | − | 0.181822i | \(-0.941801\pi\) |
0.0481807 | + | 0.998839i | \(0.484658\pi\) | |||||||
\(822\) | 0.319687 | − | 1.40064i | 0.0111504 | − | 0.0488529i | ||||
\(823\) | −11.2040 | − | 16.9733i | −0.390545 | − | 0.591651i | 0.585112 | − | 0.810953i | \(-0.301051\pi\) |
−0.975657 | + | 0.219302i | \(0.929622\pi\) | |||||||
\(824\) | −2.91708 | − | 21.5348i | −0.101621 | − | 0.750199i | ||||
\(825\) | −4.26018 | + | 4.45580i | −0.148321 | + | 0.155131i | ||||
\(826\) | −1.27733 | − | 5.59633i | −0.0444438 | − | 0.194721i | ||||
\(827\) | −2.07228 | − | 1.50560i | −0.0720601 | − | 0.0523547i | 0.551172 | − | 0.834392i | \(-0.314181\pi\) |
−0.623232 | + | 0.782037i | \(0.714181\pi\) | |||||||
\(828\) | −10.6235 | − | 2.93191i | −0.369193 | − | 0.101891i | ||||
\(829\) | −38.6946 | − | 18.6344i | −1.34392 | − | 0.647198i | −0.382929 | − | 0.923778i | \(-0.625085\pi\) |
−0.960991 | + | 0.276580i | \(0.910799\pi\) | |||||||
\(830\) | 0.702487 | − | 1.06422i | 0.0243837 | − | 0.0369397i | ||||
\(831\) | −17.3404 | − | 18.1366i | −0.601532 | − | 0.629153i | ||||
\(832\) | 3.53971 | − | 4.43865i | 0.122717 | − | 0.153883i | ||||
\(833\) | −0.774750 | − | 17.2512i | −0.0268435 | − | 0.597717i | ||||
\(834\) | −13.0854 | + | 4.91104i | −0.453111 | + | 0.170056i | ||||
\(835\) | −3.03079 | + | 2.20200i | −0.104885 | + | 0.0762032i | ||||
\(836\) | −1.63896 | − | 1.43192i | −0.0566847 | − | 0.0495239i | ||||
\(837\) | −1.96763 | + | 43.8128i | −0.0680113 | + | 1.51439i | ||||
\(838\) | −1.47376 | − | 4.53576i | −0.0509101 | − | 0.156685i | ||||
\(839\) | 8.82327 | + | 20.6431i | 0.304613 | + | 0.712678i | 0.999982 | − | 0.00597486i | \(-0.00190187\pi\) |
−0.695369 | + | 0.718653i | \(0.744759\pi\) | |||||||
\(840\) | 1.01611 | + | 0.0914516i | 0.0350591 | + | 0.00315538i | ||||
\(841\) | 11.0191 | − | 25.7806i | 0.379971 | − | 0.888985i | ||||
\(842\) | −2.55529 | + | 4.74852i | −0.0880610 | + | 0.163645i | ||||
\(843\) | −12.4556 | + | 7.44190i | −0.428995 | + | 0.256312i | ||||
\(844\) | 12.8787 | + | 7.69469i | 0.443305 | + | 0.264862i | ||||
\(845\) | 1.70693 | + | 3.17201i | 0.0587202 | + | 0.109120i | ||||
\(846\) | 4.20356 | − | 0.378327i | 0.144521 | − | 0.0130072i | ||||
\(847\) | −3.13056 | + | 9.63486i | −0.107567 | + | 0.331058i | ||||
\(848\) | −0.162006 | − | 0.0608018i | −0.00556331 | − | 0.00208794i | ||||
\(849\) | 21.5747 | − | 5.95424i | 0.740442 | − | 0.204349i | ||||
\(850\) | 12.2314 | + | 2.21967i | 0.419533 | + | 0.0761340i | ||||
\(851\) | −40.5506 | −1.39006 | ||||||||
\(852\) | 11.4634 | + | 2.76752i | 0.392729 | + | 0.0948136i | ||||
\(853\) | −15.8104 | −0.541338 | −0.270669 | − | 0.962673i | \(-0.587245\pi\) | ||||
−0.270669 | + | 0.962673i | \(0.587245\pi\) | |||||||
\(854\) | −6.90409 | − | 1.25291i | −0.236253 | − | 0.0428736i | ||||
\(855\) | −0.810395 | + | 0.223655i | −0.0277149 | + | 0.00764883i | ||||
\(856\) | −51.2249 | − | 19.2250i | −1.75083 | − | 0.657097i | ||||
\(857\) | −6.27263 | + | 19.3052i | −0.214269 | + | 0.659452i | 0.784936 | + | 0.619577i | \(0.212696\pi\) |
−0.999205 | + | 0.0398750i | \(0.987304\pi\) | |||||||
\(858\) | 1.27288 | − | 0.114561i | 0.0434554 | − | 0.00391105i | ||||
\(859\) | 7.02192 | + | 13.0489i | 0.239585 | + | 0.445223i | 0.971786 | − | 0.235866i | \(-0.0757925\pi\) |
−0.732201 | + | 0.681089i | \(0.761507\pi\) | |||||||
\(860\) | −0.157429 | − | 0.0940594i | −0.00536828 | − | 0.00320740i | ||||
\(861\) | −9.79603 | + | 5.85286i | −0.333848 | + | 0.199465i | ||||
\(862\) | 12.3142 | − | 22.8836i | 0.419423 | − | 0.779419i | ||||
\(863\) | 19.3944 | − | 45.3755i | 0.660194 | − | 1.54460i | −0.168985 | − | 0.985619i | \(-0.554049\pi\) |
0.829179 | − | 0.558983i | \(-0.188808\pi\) | |||||||
\(864\) | −30.0884 | − | 2.70801i | −1.02363 | − | 0.0921283i | ||||
\(865\) | 0.823563 | + | 1.92682i | 0.0280020 | + | 0.0655139i | ||||
\(866\) | 5.81764 | + | 17.9048i | 0.197691 | + | 0.608431i | ||||
\(867\) | −0.428391 | + | 9.53887i | −0.0145489 | + | 0.323957i | ||||
\(868\) | −8.02203 | − | 7.00864i | −0.272285 | − | 0.237889i | ||||
\(869\) | 11.5506 | − | 8.39197i | 0.391826 | − | 0.284678i | ||||
\(870\) | −0.278057 | + | 0.104357i | −0.00942702 | + | 0.00353802i | ||||
\(871\) | 0.444459 | + | 9.89664i | 0.0150599 | + | 0.335335i | ||||
\(872\) | −15.9983 | + | 20.0612i | −0.541771 | + | 0.679359i | ||||
\(873\) | −21.8094 | − | 22.8108i | −0.738135 | − | 0.772029i | ||||
\(874\) | −3.81905 | + | 5.78561i | −0.129181 | + | 0.195701i | ||||
\(875\) | −2.87133 | − | 1.38276i | −0.0970685 | − | 0.0467457i | ||||
\(876\) | −7.27729 | − | 2.00840i | −0.245877 | − | 0.0678577i | ||||
\(877\) | 2.20672 | + | 1.60327i | 0.0745156 | + | 0.0541387i | 0.624419 | − | 0.781089i | \(-0.285336\pi\) |
−0.549904 | + | 0.835228i | \(0.685336\pi\) | |||||||
\(878\) | −1.40169 | − | 6.14121i | −0.0473048 | − | 0.207256i | ||||
\(879\) | −17.8892 | + | 18.7106i | −0.603388 | + | 0.631094i | ||||
\(880\) | −0.00180596 | − | 0.0133322i | −6.08790e−5 | − | 0.000449427i | ||||
\(881\) | −5.21393 | − | 7.89877i | −0.175662 | − | 0.266116i | 0.736067 | − | 0.676908i | \(-0.236681\pi\) |
−0.911729 | + | 0.410792i | \(0.865252\pi\) | |||||||
\(882\) | −1.98734 | + | 8.70710i | −0.0669171 | + | 0.293183i | ||||
\(883\) | 8.36329 | − | 7.30678i | 0.281447 | − | 0.245893i | −0.505626 | − | 0.862753i | \(-0.668738\pi\) |
0.787073 | + | 0.616860i | \(0.211596\pi\) | |||||||
\(884\) | 2.64820 | + | 3.32074i | 0.0890687 | + | 0.111689i | ||||
\(885\) | 0.297128 | − | 2.19348i | 0.00998784 | − | 0.0737332i | ||||
\(886\) | 6.75045 | − | 3.25084i | 0.226786 | − | 0.109214i | ||||
\(887\) | 51.0592 | − | 9.26587i | 1.71440 | − | 0.311118i | 0.769541 | − | 0.638597i | \(-0.220485\pi\) |
0.944858 | + | 0.327480i | \(0.106199\pi\) | |||||||
\(888\) | −24.8009 | + | 4.50070i | −0.832264 | + | 0.151034i | ||||
\(889\) | 10.4317 | − | 5.02364i | 0.349868 | − | 0.168487i | ||||
\(890\) | 0.173960 | − | 1.28422i | 0.00583115 | − | 0.0430473i | ||||
\(891\) | −0.543396 | − | 0.681397i | −0.0182045 | − | 0.0228277i | ||||
\(892\) | 4.79889 | − | 4.19266i | 0.160679 | − | 0.140381i | ||||
\(893\) | −0.973641 | + | 4.26580i | −0.0325817 | + | 0.142750i | ||||
\(894\) | −10.2889 | − | 15.5870i | −0.344111 | − | 0.521306i | ||||
\(895\) | 0.855665 | + | 6.31677i | 0.0286017 | + | 0.211146i | ||||
\(896\) | 5.11932 | − | 5.35439i | 0.171025 | − | 0.178878i | ||||
\(897\) | 1.49295 | + | 6.54102i | 0.0498480 | + | 0.218398i | ||||
\(898\) | 16.3429 | + | 11.8738i | 0.545369 | + | 0.396234i | ||||
\(899\) | 7.79231 | + | 2.15054i | 0.259888 | + | 0.0717246i | ||||
\(900\) | 9.54660 | + | 4.59740i | 0.318220 | + | 0.153247i | ||||
\(901\) | −7.15556 | + | 10.8402i | −0.238386 | + | 0.361140i | ||||
\(902\) | −6.55856 | − | 6.85972i | −0.218376 | − | 0.228404i | ||||
\(903\) | 0.346524 | − | 0.434527i | 0.0115316 | − | 0.0144602i | ||||
\(904\) | −1.79261 | − | 39.9155i | −0.0596212 | − | 1.32757i | ||||
\(905\) | 6.17006 | − | 2.31566i | 0.205100 | − | 0.0769752i | ||||
\(906\) | −1.09238 | + | 0.793658i | −0.0362918 | + | 0.0263675i | ||||
\(907\) | 9.92205 | + | 8.66863i | 0.329456 | + | 0.287837i | 0.806733 | − | 0.590916i | \(-0.201233\pi\) |
−0.477277 | + | 0.878753i | \(0.658376\pi\) | |||||||
\(908\) | −1.25599 | + | 27.9667i | −0.0416814 | + | 0.928108i | ||||
\(909\) | 7.38115 | + | 22.7168i | 0.244817 | + | 0.753470i | ||||
\(910\) | 0.128577 | + | 0.300822i | 0.00426230 | + | 0.00997215i | ||||
\(911\) | −52.4616 | − | 4.72163i | −1.73813 | − | 0.156435i | −0.825279 | − | 0.564726i | \(-0.808982\pi\) |
−0.912852 | + | 0.408291i | \(0.866125\pi\) | |||||||
\(912\) | 0.0268542 | − | 0.0628286i | 0.000889232 | − | 0.00208046i | ||||
\(913\) | 2.51014 | − | 4.66462i | 0.0830734 | − | 0.154376i | ||||
\(914\) | −1.48173 | + | 0.885292i | −0.0490113 | + | 0.0292829i | ||||
\(915\) | −2.32279 | − | 1.38780i | −0.0767890 | − | 0.0458793i | ||||
\(916\) | 1.68185 | + | 3.12541i | 0.0555700 | + | 0.103266i | ||||
\(917\) | −12.4512 | + | 1.12063i | −0.411176 | + | 0.0370065i | ||||
\(918\) | −4.17096 | + | 12.8369i | −0.137662 | + | 0.423681i | ||||
\(919\) | 43.4508 | + | 16.3074i | 1.43331 | + | 0.537930i | 0.942757 | − | 0.333481i | \(-0.108223\pi\) |
0.490553 | + | 0.871411i | \(0.336795\pi\) | |||||||
\(920\) | −4.29381 | + | 1.18502i | −0.141563 | + | 0.0390688i | ||||
\(921\) | −25.0338 | − | 4.54297i | −0.824892 | − | 0.149696i | ||||
\(922\) | −10.4464 | −0.344035 | ||||||||
\(923\) | 2.50358 | + | 9.53430i | 0.0824063 | + | 0.313825i | ||||
\(924\) | 1.62578 | 0.0534844 | ||||||||
\(925\) | 38.3611 | + | 6.96152i | 1.26131 | + | 0.228893i | ||||
\(926\) | −14.4956 | + | 4.00054i | −0.476356 | + | 0.131466i | ||||
\(927\) | −12.5241 | − | 4.70038i | −0.411346 | − | 0.154381i | ||||
\(928\) | −1.72069 | + | 5.29573i | −0.0564843 | + | 0.173841i | ||||
\(929\) | −38.2274 | + | 3.44053i | −1.25420 | + | 0.112880i | −0.696740 | − | 0.717324i | \(-0.745367\pi\) |
−0.557460 | + | 0.830204i | \(0.688224\pi\) | |||||||
\(930\) | 1.18107 | + | 2.19480i | 0.0387289 | + | 0.0719703i | ||||
\(931\) | −7.94829 | − | 4.74888i | −0.260495 | − | 0.155638i | ||||
\(932\) | 9.37490 | − | 5.60124i | 0.307085 | − | 0.183475i | ||||
\(933\) | 7.90426 | − | 14.6886i | 0.258774 | − | 0.480882i | ||||
\(934\) | 4.05589 | − | 9.48923i | 0.132713 | − | 0.310497i | ||||
\(935\) | −1.00583 | − | 0.0905263i | −0.0328942 | − | 0.00296053i | ||||
\(936\) | −2.25055 | − | 5.26542i | −0.0735615 | − | 0.172106i | ||||
\(937\) | 9.70120 | + | 29.8572i | 0.316924 | + | 0.975393i | 0.974955 | + | 0.222402i | \(0.0713896\pi\) |
−0.658031 | + | 0.752991i | \(0.728610\pi\) | |||||||
\(938\) | 0.343063 | − | 7.63888i | 0.0112014 | − | 0.249418i | ||||
\(939\) | 25.2623 | + | 22.0710i | 0.824404 | + | 0.720260i | ||||
\(940\) | −0.872533 | + | 0.633932i | −0.0284589 | + | 0.0206766i | ||||
\(941\) | 28.2137 | − | 10.5888i | 0.919740 | − | 0.345184i | 0.153804 | − | 0.988101i | \(-0.450847\pi\) |
0.765936 | + | 0.642917i | \(0.222276\pi\) | |||||||
\(942\) | 0.728853 | + | 16.2292i | 0.0237473 | + | 0.528775i | ||||
\(943\) | 31.0638 | − | 38.9528i | 1.01158 | − | 1.26848i | ||||
\(944\) | −0.170705 | − | 0.178543i | −0.00555596 | − | 0.00581108i | ||||
\(945\) | 0.943907 | − | 1.42996i | 0.0307053 | − | 0.0465165i | ||||
\(946\) | 0.416456 | + | 0.200555i | 0.0135401 | + | 0.00652059i | ||||
\(947\) | 47.9408 | + | 13.2308i | 1.55787 | + | 0.429944i | 0.935658 | − | 0.352908i | \(-0.114807\pi\) |
0.622208 | + | 0.782852i | \(0.286236\pi\) | |||||||
\(948\) | 14.4591 | + | 10.5052i | 0.469611 | + | 0.341192i | ||||
\(949\) | −1.40421 | − | 6.15226i | −0.0455827 | − | 0.199711i | ||||
\(950\) | 4.60609 | − | 4.81760i | 0.149441 | − | 0.156303i | ||||
\(951\) | 0.764884 | + | 5.64660i | 0.0248031 | + | 0.183104i | ||||
\(952\) | −4.70799 | − | 7.13230i | −0.152587 | − | 0.231159i | ||||
\(953\) | −1.08035 | + | 4.73332i | −0.0349959 | + | 0.153327i | −0.989407 | − | 0.145168i | \(-0.953628\pi\) |
0.954411 | + | 0.298495i | \(0.0964848\pi\) | |||||||
\(954\) | 5.05889 | − | 4.41982i | 0.163787 | − | 0.143097i | ||||
\(955\) | 1.08544 | + | 1.36110i | 0.0351241 | + | 0.0440443i | ||||
\(956\) | 3.92052 | − | 28.9425i | 0.126799 | − | 0.936066i | ||||
\(957\) | −1.11155 | + | 0.535296i | −0.0359314 | + | 0.0173037i | ||||
\(958\) | 10.0871 | − | 1.83053i | 0.325898 | − | 0.0591418i | ||||
\(959\) | 1.50313 | − | 0.272777i | 0.0485385 | − | 0.00880843i | ||||
\(960\) | −1.52244 | + | 0.733171i | −0.0491367 | + | 0.0236630i | ||||
\(961\) | 4.94493 | − | 36.5049i | 0.159514 | − | 1.17758i | ||||
\(962\) | −5.03947 | − | 6.31929i | −0.162479 | − | 0.203742i | ||||
\(963\) | −25.3633 | + | 22.1593i | −0.817321 | + | 0.714072i | ||||
\(964\) | −0.973745 | + | 4.26625i | −0.0313622 | + | 0.137407i | ||||
\(965\) | 2.45188 | + | 3.71443i | 0.0789287 | + | 0.119572i | ||||
\(966\) | −0.695145 | − | 5.13176i | −0.0223659 | − | 0.165112i | ||||
\(967\) | 7.81999 | − | 8.17907i | 0.251474 | − | 0.263021i | −0.584993 | − | 0.811038i | \(-0.698903\pi\) |
0.836467 | + | 0.548017i | \(0.184617\pi\) | |||||||
\(968\) | −6.11795 | − | 26.8045i | −0.196638 | − | 0.861529i | ||||
\(969\) | −4.14932 | − | 3.01466i | −0.133296 | − | 0.0968449i | ||||
\(970\) | −4.71692 | − | 1.30179i | −0.151451 | − | 0.0417979i | ||||
\(971\) | 40.9459 | + | 19.7185i | 1.31402 | + | 0.632798i | 0.953904 | − | 0.300111i | \(-0.0970237\pi\) |
0.360113 | + | 0.932909i | \(0.382738\pi\) | |||||||
\(972\) | −10.3529 | + | 15.6840i | −0.332070 | + | 0.503065i | ||||
\(973\) | −10.2706 | − | 10.7423i | −0.329262 | − | 0.344381i | ||||
\(974\) | −15.2937 | + | 19.1777i | −0.490041 | + | 0.614492i | ||||
\(975\) | −0.289407 | − | 6.44416i | −0.00926846 | − | 0.206378i | ||||
\(976\) | −0.282699 | + | 0.106099i | −0.00904898 | + | 0.00339614i | ||||
\(977\) | 42.3831 | − | 30.7931i | 1.35595 | − | 0.985158i | 0.357264 | − | 0.934004i | \(-0.383710\pi\) |
0.998691 | − | 0.0511549i | \(-0.0162902\pi\) | |||||||
\(978\) | 9.68061 | + | 8.45770i | 0.309552 | + | 0.270447i | ||||
\(979\) | 0.241527 | − | 5.37802i | 0.00771925 | − | 0.171882i | ||||
\(980\) | −0.705241 | − | 2.17051i | −0.0225281 | − | 0.0693344i | ||||
\(981\) | 6.20781 | + | 14.5239i | 0.198200 | + | 0.463712i | ||||
\(982\) | 12.4381 | + | 1.11945i | 0.396916 | + | 0.0357231i | ||||
\(983\) | −4.84265 | + | 11.3299i | −0.154456 | + | 0.361369i | −0.978829 | − | 0.204678i | \(-0.934385\pi\) |
0.824373 | + | 0.566047i | \(0.191528\pi\) | |||||||
\(984\) | 14.6754 | − | 27.2715i | 0.467835 | − | 0.869383i | ||||
\(985\) | −0.00137359 | 0.000820680i | −4.37661e−5 | 2.61490e-5i | ||||||
\(986\) | 2.13568 | + | 1.27601i | 0.0680139 | + | 0.0406364i | ||||
\(987\) | −1.54887 | − | 2.87829i | −0.0493012 | − | 0.0916170i | ||||
\(988\) | 2.26816 | − | 0.204138i | 0.0721598 | − | 0.00649450i | ||||
\(989\) | −0.749852 | + | 2.30781i | −0.0238439 | + | 0.0733840i | ||||
\(990\) | 0.488997 | + | 0.183524i | 0.0155414 | + | 0.00583277i | ||||
\(991\) | 50.0451 | − | 13.8116i | 1.58974 | − | 0.438739i | 0.644360 | − | 0.764722i | \(-0.277124\pi\) |
0.945376 | + | 0.325983i | \(0.105695\pi\) | |||||||
\(992\) | 45.9782 | + | 8.34382i | 1.45981 | + | 0.264917i | ||||
\(993\) | −12.5258 | −0.397496 | ||||||||
\(994\) | −1.26497 | − | 7.50279i | −0.0401225 | − | 0.237974i | ||||
\(995\) | −4.30086 | −0.136346 | ||||||||
\(996\) | 6.52444 | + | 1.18401i | 0.206735 | + | 0.0375168i | ||||
\(997\) | −12.1026 | + | 3.34010i | −0.383293 | + | 0.105782i | −0.452372 | − | 0.891829i | \(-0.649422\pi\) |
0.0690799 | + | 0.997611i | \(0.477994\pi\) | |||||||
\(998\) | 1.24540 | + | 0.467406i | 0.0394224 | + | 0.0147955i | ||||
\(999\) | −13.0813 | + | 40.2602i | −0.413875 | + | 1.27378i |
(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 | 71.2.g.a.16.4 | ✓ | 120 | |
3.2 | odd | 2 | 639.2.v.a.442.2 | 120 | |||
71.18 | even | 35 | 5041.2.a.s.1.40 | 60 | |||
71.40 | even | 35 | inner | 71.2.g.a.40.4 | yes | 120 | |
71.53 | odd | 70 | 5041.2.a.t.1.40 | 60 | |||
213.182 | odd | 70 | 639.2.v.a.253.2 | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
71.2.g.a.16.4 | ✓ | 120 | 1.1 | even | 1 | trivial | |
71.2.g.a.40.4 | yes | 120 | 71.40 | even | 35 | inner | |
639.2.v.a.253.2 | 120 | 213.182 | odd | 70 | |||
639.2.v.a.442.2 | 120 | 3.2 | odd | 2 | |||
5041.2.a.s.1.40 | 60 | 71.18 | even | 35 | |||
5041.2.a.t.1.40 | 60 | 71.53 | odd | 70 |