Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [644,2,Mod(3,644)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(644, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([33, 11, 48]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("644.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 644 = 2^{2} \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 644.be (of order \(66\), degree \(20\), 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: | \(5.14236589017\) |
Analytic rank: | \(0\) |
Dimension: | \(1840\) |
Relative dimension: | \(92\) over \(\Q(\zeta_{66})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{66}]$ |
Embedding invariants
Embedding label | 3.15 | ||
Character | \(\chi\) | \(=\) | 644.3 |
Dual form | 644.2.be.a.215.15 |
$q$-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 \(\left(\mathbb{Z}/644\mathbb{Z}\right)^\times\).
\(n\) | \(185\) | \(281\) | \(323\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{8}{11}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.24384 | − | 0.672947i | −0.879529 | − | 0.475846i | ||||
\(3\) | −0.949023 | − | 1.33272i | −0.547919 | − | 0.769444i | 0.444040 | − | 0.896007i | \(-0.353545\pi\) |
−0.991959 | + | 0.126563i | \(0.959605\pi\) | |||||||
\(4\) | 1.09428 | + | 1.67408i | 0.547142 | + | 0.837040i | ||||
\(5\) | 0.651971 | − | 3.38275i | 0.291570 | − | 1.51281i | −0.480342 | − | 0.877081i | \(-0.659487\pi\) |
0.771912 | − | 0.635729i | \(-0.219300\pi\) | |||||||
\(6\) | 0.283586 | + | 2.29633i | 0.115774 | + | 0.937473i | ||||
\(7\) | 0.689441 | + | 2.55434i | 0.260584 | + | 0.965451i | ||||
\(8\) | −0.234547 | − | 2.81869i | −0.0829250 | − | 0.996556i | ||||
\(9\) | 0.105716 | − | 0.305446i | 0.0352386 | − | 0.101815i | ||||
\(10\) | −3.08736 | + | 3.76886i | −0.976309 | + | 1.19182i | ||||
\(11\) | −3.43486 | + | 4.36778i | −1.03565 | + | 1.31694i | −0.0885230 | + | 0.996074i | \(0.528215\pi\) |
−0.947126 | + | 0.320861i | \(0.896028\pi\) | |||||||
\(12\) | 1.19257 | − | 3.04711i | 0.344266 | − | 0.879625i | ||||
\(13\) | −2.16733 | + | 3.37243i | −0.601109 | + | 0.935344i | 0.398724 | + | 0.917071i | \(0.369453\pi\) |
−0.999833 | + | 0.0182730i | \(0.994183\pi\) | |||||||
\(14\) | 0.861384 | − | 3.64116i | 0.230215 | − | 0.973140i | ||||
\(15\) | −5.12698 | + | 2.34141i | −1.32378 | + | 0.604550i | ||||
\(16\) | −1.60509 | + | 3.66384i | −0.401272 | + | 0.915959i | ||||
\(17\) | −3.31610 | − | 3.47783i | −0.804272 | − | 0.843497i | 0.186013 | − | 0.982547i | \(-0.440443\pi\) |
−0.990285 | + | 0.139051i | \(0.955595\pi\) | |||||||
\(18\) | −0.337043 | + | 0.308785i | −0.0794418 | + | 0.0727814i | ||||
\(19\) | −4.31941 | − | 4.11855i | −0.990942 | − | 0.944861i | 0.00753859 | − | 0.999972i | \(-0.497600\pi\) |
−0.998480 | + | 0.0551106i | \(0.982449\pi\) | |||||||
\(20\) | 6.37643 | − | 2.61023i | 1.42581 | − | 0.583666i | ||||
\(21\) | 2.74992 | − | 3.34296i | 0.600082 | − | 0.729494i | ||||
\(22\) | 7.21171 | − | 3.12135i | 1.53754 | − | 0.665473i | ||||
\(23\) | 4.22435 | + | 2.27043i | 0.880838 | + | 0.473417i | ||||
\(24\) | −3.53392 | + | 2.98758i | −0.721358 | + | 0.609838i | ||||
\(25\) | −6.37607 | − | 2.55259i | −1.27521 | − | 0.510518i | ||||
\(26\) | 4.96528 | − | 2.73627i | 0.973772 | − | 0.536627i | ||||
\(27\) | −5.21684 | + | 1.53180i | −1.00398 | + | 0.294795i | ||||
\(28\) | −3.52173 | + | 3.94936i | −0.665545 | + | 0.746358i | ||||
\(29\) | 0.241846 | + | 0.0710123i | 0.0449096 | + | 0.0131867i | 0.304110 | − | 0.952637i | \(-0.401641\pi\) |
−0.259201 | + | 0.965824i | \(0.583459\pi\) | |||||||
\(30\) | 7.95279 | + | 0.537841i | 1.45197 | + | 0.0981958i | ||||
\(31\) | −5.77285 | − | 0.551241i | −1.03683 | − | 0.0990057i | −0.437269 | − | 0.899331i | \(-0.644054\pi\) |
−0.599566 | + | 0.800325i | \(0.704660\pi\) | |||||||
\(32\) | 4.46204 | − | 3.47709i | 0.788785 | − | 0.614669i | ||||
\(33\) | 9.08077 | + | 0.432570i | 1.58076 | + | 0.0753009i | ||||
\(34\) | 1.78431 | + | 6.55743i | 0.306006 | + | 1.12459i | ||||
\(35\) | 9.09019 | − | 0.666846i | 1.53652 | − | 0.112718i | ||||
\(36\) | 0.627024 | − | 0.157268i | 0.104504 | − | 0.0262113i | ||||
\(37\) | −2.45250 | + | 7.08604i | −0.403189 | + | 1.16494i | 0.542554 | + | 0.840021i | \(0.317458\pi\) |
−0.945743 | + | 0.324917i | \(0.894664\pi\) | |||||||
\(38\) | 2.60110 | + | 8.02957i | 0.421954 | + | 1.30257i | ||||
\(39\) | 6.55134 | − | 0.312079i | 1.04905 | − | 0.0499726i | ||||
\(40\) | −9.68782 | − | 1.04429i | −1.53178 | − | 0.165116i | ||||
\(41\) | −3.65865 | − | 3.17024i | −0.571386 | − | 0.495108i | 0.320574 | − | 0.947223i | \(-0.396124\pi\) |
−0.891960 | + | 0.452115i | \(0.850670\pi\) | |||||||
\(42\) | −5.67010 | + | 2.30756i | −0.874916 | + | 0.356064i | ||||
\(43\) | −0.538681 | − | 0.246007i | −0.0821481 | − | 0.0375158i | 0.373917 | − | 0.927462i | \(-0.378014\pi\) |
−0.456065 | + | 0.889946i | \(0.650742\pi\) | |||||||
\(44\) | −11.0707 | − | 0.970642i | −1.66897 | − | 0.146330i | ||||
\(45\) | −0.964323 | − | 0.556752i | −0.143753 | − | 0.0829957i | ||||
\(46\) | −3.72655 | − | 5.66682i | −0.549449 | − | 0.835527i | ||||
\(47\) | 0.0686439 | + | 0.118895i | 0.0100127 | + | 0.0173426i | 0.870988 | − | 0.491304i | \(-0.163479\pi\) |
−0.860976 | + | 0.508646i | \(0.830146\pi\) | |||||||
\(48\) | 6.40612 | − | 1.33794i | 0.924644 | − | 0.193115i | ||||
\(49\) | −6.04934 | + | 3.52214i | −0.864192 | + | 0.503163i | ||||
\(50\) | 6.21306 | + | 7.46578i | 0.878659 | + | 1.05582i | ||||
\(51\) | −1.48790 | + | 7.71996i | −0.208348 | + | 1.08101i | ||||
\(52\) | −8.01739 | + | 0.0621118i | −1.11181 | + | 0.00861335i | ||||
\(53\) | 0.258823 | + | 5.43336i | 0.0355521 | + | 0.746330i | 0.944320 | + | 0.329028i | \(0.106721\pi\) |
−0.908768 | + | 0.417302i | \(0.862976\pi\) | |||||||
\(54\) | 7.51974 | + | 1.60534i | 1.02331 | + | 0.218459i | ||||
\(55\) | 12.5357 | + | 14.4669i | 1.69031 | + | 1.95072i | ||||
\(56\) | 7.03818 | − | 2.54243i | 0.940517 | − | 0.339747i | ||||
\(57\) | −1.38964 | + | 9.66516i | −0.184062 | + | 1.28018i | ||||
\(58\) | −0.253030 | − | 0.251078i | −0.0332245 | − | 0.0329681i | ||||
\(59\) | −4.06587 | + | 2.09610i | −0.529331 | + | 0.272889i | −0.702106 | − | 0.712072i | \(-0.747757\pi\) |
0.172775 | + | 0.984961i | \(0.444727\pi\) | |||||||
\(60\) | −9.53008 | − | 6.02080i | −1.23033 | − | 0.777282i | ||||
\(61\) | −0.975104 | − | 0.694368i | −0.124849 | − | 0.0889047i | 0.515926 | − | 0.856633i | \(-0.327448\pi\) |
−0.640776 | + | 0.767728i | \(0.721387\pi\) | |||||||
\(62\) | 6.80956 | + | 4.57048i | 0.864815 | + | 0.580452i | ||||
\(63\) | 0.853099 | + | 0.0594477i | 0.107480 | + | 0.00748971i | ||||
\(64\) | −7.88998 | + | 1.32223i | −0.986247 | + | 0.165279i | ||||
\(65\) | 9.99504 | + | 9.53025i | 1.23973 | + | 1.18208i | ||||
\(66\) | −11.0039 | − | 6.64893i | −1.35449 | − | 0.818427i | ||||
\(67\) | 2.24996 | − | 5.62012i | 0.274876 | − | 0.686607i | −0.725122 | − | 0.688620i | \(-0.758217\pi\) |
0.999998 | + | 0.00201341i | \(0.000640890\pi\) | |||||||
\(68\) | 2.19341 | − | 9.35714i | 0.265989 | − | 1.13472i | ||||
\(69\) | −0.983170 | − | 7.78455i | −0.118360 | − | 0.937150i | ||||
\(70\) | −11.7555 | − | 5.28777i | −1.40505 | − | 0.632009i | ||||
\(71\) | 6.44292 | − | 0.926352i | 0.764634 | − | 0.109938i | 0.251047 | − | 0.967975i | \(-0.419225\pi\) |
0.513588 | + | 0.858037i | \(0.328316\pi\) | |||||||
\(72\) | −0.885752 | − | 0.226338i | −0.104387 | − | 0.0266742i | ||||
\(73\) | 15.4290 | + | 3.74303i | 1.80583 | + | 0.438089i | 0.990102 | − | 0.140352i | \(-0.0448234\pi\) |
0.815724 | + | 0.578441i | \(0.196339\pi\) | |||||||
\(74\) | 7.81906 | − | 7.16351i | 0.908947 | − | 0.832741i | ||||
\(75\) | 2.64915 | + | 10.9200i | 0.305898 | + | 1.26093i | ||||
\(76\) | 2.16812 | − | 11.7379i | 0.248701 | − | 1.34643i | ||||
\(77\) | −13.5249 | − | 5.76249i | −1.54131 | − | 0.656696i | ||||
\(78\) | −8.35884 | − | 4.02053i | −0.946452 | − | 0.455235i | ||||
\(79\) | −3.45834 | − | 0.164741i | −0.389094 | − | 0.0185348i | −0.147876 | − | 0.989006i | \(-0.547244\pi\) |
−0.241218 | + | 0.970471i | \(0.577547\pi\) | |||||||
\(80\) | 11.3474 | + | 7.81832i | 1.26867 | + | 0.874115i | ||||
\(81\) | 6.23014 | + | 4.89944i | 0.692238 | + | 0.544382i | ||||
\(82\) | 2.41738 | + | 6.40536i | 0.266955 | + | 0.707353i | ||||
\(83\) | −2.70143 | − | 3.11762i | −0.296520 | − | 0.342203i | 0.587866 | − | 0.808958i | \(-0.299968\pi\) |
−0.884386 | + | 0.466756i | \(0.845423\pi\) | |||||||
\(84\) | 8.60557 | + | 0.945440i | 0.938945 | + | 0.103156i | ||||
\(85\) | −13.9266 | + | 8.95008i | −1.51055 | + | 0.970773i | ||||
\(86\) | 0.504484 | + | 0.668498i | 0.0543999 | + | 0.0720860i | ||||
\(87\) | −0.134878 | − | 0.389704i | −0.0144604 | − | 0.0417807i | ||||
\(88\) | 13.1170 | + | 8.65734i | 1.39828 | + | 0.922875i | ||||
\(89\) | 0.0334635 | + | 0.350446i | 0.00354713 | + | 0.0371472i | 0.997072 | − | 0.0764659i | \(-0.0243636\pi\) |
−0.993525 | + | 0.113613i | \(0.963758\pi\) | |||||||
\(90\) | 0.824800 | + | 1.34145i | 0.0869416 | + | 0.141401i | ||||
\(91\) | −10.1086 | − | 3.21101i | −1.05967 | − | 0.336606i | ||||
\(92\) | 0.821760 | + | 9.55640i | 0.0856744 | + | 0.996323i | ||||
\(93\) | 4.74392 | + | 8.21671i | 0.491922 | + | 0.852033i | ||||
\(94\) | −0.00537223 | − | 0.194080i | −0.000554103 | − | 0.0200178i | ||||
\(95\) | −16.7482 | + | 11.9263i | −1.71832 | + | 1.22361i | ||||
\(96\) | −8.86856 | − | 2.64680i | −0.905143 | − | 0.270138i | ||||
\(97\) | 5.48928 | + | 4.75649i | 0.557352 | + | 0.482948i | 0.887390 | − | 0.461019i | \(-0.152516\pi\) |
−0.330038 | + | 0.943968i | \(0.607062\pi\) | |||||||
\(98\) | 9.89464 | − | 0.310092i | 0.999509 | − | 0.0313240i | ||||
\(99\) | 0.971002 | + | 1.51091i | 0.0975894 | + | 0.151852i | ||||
\(100\) | −2.70398 | − | 13.4673i | −0.270398 | − | 1.34673i | ||||
\(101\) | −3.31381 | − | 17.1937i | −0.329736 | − | 1.71083i | −0.646995 | − | 0.762494i | \(-0.723975\pi\) |
0.317260 | − | 0.948339i | \(-0.397237\pi\) | |||||||
\(102\) | 7.04584 | − | 8.60112i | 0.697642 | − | 0.851638i | ||||
\(103\) | −16.7218 | + | 6.69438i | −1.64764 | + | 0.659617i | −0.995167 | − | 0.0981926i | \(-0.968694\pi\) |
−0.652476 | + | 0.757809i | \(0.726270\pi\) | |||||||
\(104\) | 10.0142 | + | 5.31803i | 0.981969 | + | 0.521475i | ||||
\(105\) | −9.51552 | − | 11.4818i | −0.928619 | − | 1.12051i | ||||
\(106\) | 3.33443 | − | 6.93242i | 0.323869 | − | 0.673336i | ||||
\(107\) | −7.00163 | − | 4.98584i | −0.676873 | − | 0.481999i | 0.189186 | − | 0.981941i | \(-0.439415\pi\) |
−0.866059 | + | 0.499942i | \(0.833355\pi\) | |||||||
\(108\) | −8.27306 | − | 7.05718i | −0.796075 | − | 0.679077i | ||||
\(109\) | 3.87534 | − | 3.69513i | 0.371191 | − | 0.353930i | −0.481407 | − | 0.876497i | \(-0.659874\pi\) |
0.852598 | + | 0.522567i | \(0.175026\pi\) | |||||||
\(110\) | −5.85690 | − | 26.4304i | −0.558433 | − | 2.52004i | ||||
\(111\) | 11.7712 | − | 3.45633i | 1.11727 | − | 0.328060i | ||||
\(112\) | −10.4653 | − | 1.57395i | −0.988879 | − | 0.148724i | ||||
\(113\) | 0.793277 | + | 5.51736i | 0.0746252 | + | 0.519030i | 0.992508 | + | 0.122179i | \(0.0389881\pi\) |
−0.917883 | + | 0.396851i | \(0.870103\pi\) | |||||||
\(114\) | 8.23263 | − | 11.0868i | 0.771057 | − | 1.03837i | ||||
\(115\) | 10.4344 | − | 12.8097i | 0.973016 | − | 1.19451i | ||||
\(116\) | 0.145767 | + | 0.482577i | 0.0135342 | + | 0.0448061i | ||||
\(117\) | 0.800975 | + | 1.01852i | 0.0740501 | + | 0.0941624i | ||||
\(118\) | 6.46786 | + | 0.128899i | 0.595415 | + | 0.0118661i | ||||
\(119\) | 6.59731 | − | 10.8682i | 0.604774 | − | 0.996288i | ||||
\(120\) | 7.80222 | + | 13.9022i | 0.712242 | + | 1.26909i | ||||
\(121\) | −4.68589 | − | 19.3155i | −0.425990 | − | 1.75595i | ||||
\(122\) | 0.745601 | + | 1.51988i | 0.0675035 | + | 0.137603i | ||||
\(123\) | −0.752886 | + | 7.88458i | −0.0678854 | + | 0.710928i | ||||
\(124\) | −5.39432 | − | 10.2674i | −0.484424 | − | 0.922042i | ||||
\(125\) | −3.47924 | + | 5.41380i | −0.311193 | + | 0.484225i | ||||
\(126\) | −1.02111 | − | 0.648035i | −0.0909682 | − | 0.0577315i | ||||
\(127\) | 16.4109 | + | 2.35953i | 1.45623 | + | 0.209375i | 0.824522 | − | 0.565829i | \(-0.191444\pi\) |
0.631711 | + | 0.775204i | \(0.282353\pi\) | |||||||
\(128\) | 10.7037 | + | 3.66489i | 0.946080 | + | 0.323934i | ||||
\(129\) | 0.183363 | + | 0.951376i | 0.0161442 | + | 0.0837640i | ||||
\(130\) | −6.01889 | − | 18.5803i | −0.527891 | − | 1.62960i | ||||
\(131\) | −14.9676 | − | 7.71635i | −1.30773 | − | 0.674181i | −0.343474 | − | 0.939162i | \(-0.611604\pi\) |
−0.964254 | + | 0.264981i | \(0.914634\pi\) | |||||||
\(132\) | 9.21278 | + | 15.6753i | 0.801870 | + | 1.36436i | ||||
\(133\) | 7.54222 | − | 13.8728i | 0.653993 | − | 1.20292i | ||||
\(134\) | −6.58064 | + | 5.47644i | −0.568480 | + | 0.473092i | ||||
\(135\) | 1.78047 | + | 18.6459i | 0.153239 | + | 1.60479i | ||||
\(136\) | −9.02511 | + | 10.1628i | −0.773897 | + | 0.871449i | ||||
\(137\) | 5.66375 | − | 9.80990i | 0.483887 | − | 0.838116i | −0.515942 | − | 0.856623i | \(-0.672558\pi\) |
0.999829 | + | 0.0185074i | \(0.00589141\pi\) | |||||||
\(138\) | −4.01569 | + | 10.3444i | −0.341838 | + | 0.880571i | ||||
\(139\) | −1.31706 | −0.111712 | −0.0558559 | − | 0.998439i | \(-0.517789\pi\) | ||||
−0.0558559 | + | 0.998439i | \(0.517789\pi\) | |||||||
\(140\) | 11.0636 | + | 14.4880i | 0.935045 | + | 1.22446i | ||||
\(141\) | 0.0933083 | − | 0.204317i | 0.00785798 | − | 0.0172066i | ||||
\(142\) | −8.63736 | − | 3.18351i | −0.724831 | − | 0.267154i | ||||
\(143\) | −7.28556 | − | 21.0502i | −0.609249 | − | 1.76031i | ||||
\(144\) | 0.949421 | + | 0.877594i | 0.0791184 | + | 0.0731328i | ||||
\(145\) | 0.397893 | − | 0.771805i | 0.0330432 | − | 0.0640949i | ||||
\(146\) | −16.6723 | − | 15.0386i | −1.37981 | − | 1.24461i | ||||
\(147\) | 10.4350 | + | 4.71947i | 0.860662 | + | 0.389255i | ||||
\(148\) | −14.5463 | + | 3.64845i | −1.19570 | + | 0.299901i | ||||
\(149\) | −5.03564 | + | 2.01597i | −0.412535 | + | 0.165154i | −0.568640 | − | 0.822586i | \(-0.692530\pi\) |
0.156105 | + | 0.987740i | \(0.450106\pi\) | |||||||
\(150\) | 4.05343 | − | 15.3654i | 0.330961 | − | 1.25458i | ||||
\(151\) | −6.79822 | − | 13.1867i | −0.553232 | − | 1.07312i | −0.985229 | − | 0.171244i | \(-0.945221\pi\) |
0.431997 | − | 0.901875i | \(-0.357809\pi\) | |||||||
\(152\) | −10.5958 | + | 13.1411i | −0.859433 | + | 1.06588i | ||||
\(153\) | −1.41285 | + | 0.645228i | −0.114222 | + | 0.0521636i | ||||
\(154\) | 12.9450 | + | 16.2692i | 1.04314 | + | 1.31101i | ||||
\(155\) | −5.62844 | + | 19.1687i | −0.452087 | + | 1.53967i | ||||
\(156\) | 7.69147 | + | 10.6260i | 0.615810 | + | 0.850758i | ||||
\(157\) | −5.30651 | − | 1.28735i | −0.423506 | − | 0.102741i | 0.0183413 | − | 0.999832i | \(-0.494161\pi\) |
−0.441847 | + | 0.897090i | \(0.645677\pi\) | |||||||
\(158\) | 4.19077 | + | 2.53219i | 0.333400 | + | 0.201451i | ||||
\(159\) | 6.99550 | − | 5.50132i | 0.554779 | − | 0.436283i | ||||
\(160\) | −8.85300 | − | 17.3609i | −0.699891 | − | 1.37250i | ||||
\(161\) | −2.88701 | + | 12.3558i | −0.227529 | + | 0.973771i | ||||
\(162\) | −4.45225 | − | 10.2867i | −0.349802 | − | 0.808198i | ||||
\(163\) | −6.00746 | − | 7.63910i | −0.470540 | − | 0.598341i | 0.491625 | − | 0.870807i | \(-0.336403\pi\) |
−0.962165 | + | 0.272466i | \(0.912161\pi\) | |||||||
\(164\) | 1.30363 | − | 9.59402i | 0.101797 | − | 0.749167i | ||||
\(165\) | 7.38368 | − | 30.4359i | 0.574818 | − | 2.36943i | ||||
\(166\) | 1.26216 | + | 5.69574i | 0.0979625 | + | 0.442075i | ||||
\(167\) | 11.4328 | + | 3.35696i | 0.884694 | + | 0.259770i | 0.692354 | − | 0.721558i | \(-0.256574\pi\) |
0.192341 | + | 0.981328i | \(0.438392\pi\) | |||||||
\(168\) | −10.0677 | − | 6.96708i | −0.776743 | − | 0.537522i | ||||
\(169\) | −1.27558 | − | 2.79312i | −0.0981213 | − | 0.214856i | ||||
\(170\) | 23.3454 | − | 1.76061i | 1.79051 | − | 0.135033i | ||||
\(171\) | −1.71463 | + | 0.883952i | −0.131121 | + | 0.0675975i | ||||
\(172\) | −0.177634 | − | 1.17100i | −0.0135444 | − | 0.0892877i | ||||
\(173\) | 5.61425 | + | 14.0237i | 0.426844 | + | 1.06620i | 0.973467 | + | 0.228826i | \(0.0734886\pi\) |
−0.546624 | + | 0.837378i | \(0.684087\pi\) | |||||||
\(174\) | −0.0944836 | + | 0.575496i | −0.00716279 | + | 0.0436282i | ||||
\(175\) | 2.12428 | − | 18.0465i | 0.160580 | − | 1.36419i | ||||
\(176\) | −10.4896 | − | 19.5954i | −0.790682 | − | 1.47706i | ||||
\(177\) | 6.65211 | + | 3.42940i | 0.500003 | + | 0.257770i | ||||
\(178\) | 0.194208 | − | 0.458418i | 0.0145565 | − | 0.0343599i | ||||
\(179\) | −7.66458 | + | 2.65274i | −0.572878 | + | 0.198275i | −0.598120 | − | 0.801406i | \(-0.704085\pi\) |
0.0252423 | + | 0.999681i | \(0.491964\pi\) | |||||||
\(180\) | −0.123195 | − | 2.22360i | −0.00918241 | − | 0.165737i | ||||
\(181\) | −8.65077 | − | 3.95068i | −0.643007 | − | 0.293651i | 0.0670989 | − | 0.997746i | \(-0.478626\pi\) |
−0.710106 | + | 0.704095i | \(0.751353\pi\) | |||||||
\(182\) | 10.4126 | + | 10.7965i | 0.771837 | + | 0.800293i | ||||
\(183\) | 1.95851i | 0.144777i | ||||||||
\(184\) | 5.40881 | − | 12.4396i | 0.398743 | − | 0.917063i | ||||
\(185\) | 22.3713 | + | 12.9161i | 1.64477 | + | 0.949610i | ||||
\(186\) | −0.371270 | − | 13.4127i | −0.0272229 | − | 0.983467i | ||||
\(187\) | 26.5807 | − | 2.53815i | 1.94377 | − | 0.185608i | ||||
\(188\) | −0.123923 | + | 0.245020i | −0.00903804 | + | 0.0178699i | ||||
\(189\) | −7.50945 | − | 12.2695i | −0.546232 | − | 0.892476i | ||||
\(190\) | 28.8578 | − | 3.56381i | 2.09357 | − | 0.258546i | ||||
\(191\) | −0.400515 | + | 0.776891i | −0.0289803 | + | 0.0562139i | −0.902881 | − | 0.429890i | \(-0.858552\pi\) |
0.873901 | + | 0.486104i | \(0.161582\pi\) | |||||||
\(192\) | 9.24992 | + | 9.26027i | 0.667556 | + | 0.668303i | ||||
\(193\) | −21.2699 | + | 4.09944i | −1.53104 | + | 0.295084i | −0.884042 | − | 0.467408i | \(-0.845188\pi\) |
−0.646998 | + | 0.762491i | \(0.723976\pi\) | |||||||
\(194\) | −3.62693 | − | 9.61032i | −0.260398 | − | 0.689980i | ||||
\(195\) | 3.21560 | − | 22.3650i | 0.230274 | − | 1.60159i | ||||
\(196\) | −12.5160 | − | 6.27287i | −0.894003 | − | 0.448062i | ||||
\(197\) | −21.0232 | − | 13.5108i | −1.49784 | − | 0.962602i | −0.995175 | − | 0.0981200i | \(-0.968717\pi\) |
−0.502664 | − | 0.864482i | \(-0.667647\pi\) | |||||||
\(198\) | −0.191010 | − | 2.53276i | −0.0135745 | − | 0.179996i | ||||
\(199\) | −8.55467 | − | 0.816872i | −0.606424 | − | 0.0579065i | −0.212673 | − | 0.977123i | \(-0.568217\pi\) |
−0.393751 | + | 0.919217i | \(0.628823\pi\) | |||||||
\(200\) | −5.69947 | + | 18.5708i | −0.403013 | + | 1.31316i | ||||
\(201\) | −9.62529 | + | 2.33507i | −0.678915 | + | 0.164703i | ||||
\(202\) | −7.44858 | + | 23.6162i | −0.524080 | + | 1.66163i | ||||
\(203\) | −0.0146515 | + | 0.666716i | −0.00102833 | + | 0.0467943i | ||||
\(204\) | −14.5520 | + | 5.95696i | −1.01884 | + | 0.417070i | ||||
\(205\) | −13.1095 | + | 10.3094i | −0.915604 | + | 0.720039i | ||||
\(206\) | 25.3042 | + | 2.92611i | 1.76303 | + | 0.203872i | ||||
\(207\) | 1.14007 | − | 1.05029i | 0.0792407 | − | 0.0730003i | ||||
\(208\) | −8.87728 | − | 13.3538i | −0.615529 | − | 0.925919i | ||||
\(209\) | 32.8255 | − | 4.71960i | 2.27059 | − | 0.326461i | ||||
\(210\) | 4.10915 | + | 20.6850i | 0.283558 | + | 1.42740i | ||||
\(211\) | 0.104038 | + | 0.354322i | 0.00716230 | + | 0.0243926i | 0.962997 | − | 0.269514i | \(-0.0868629\pi\) |
−0.955834 | + | 0.293906i | \(0.905045\pi\) | |||||||
\(212\) | −8.81266 | + | 6.37893i | −0.605256 | + | 0.438107i | ||||
\(213\) | −7.34905 | − | 7.70746i | −0.503548 | − | 0.528106i | ||||
\(214\) | 5.35371 | + | 10.9133i | 0.365972 | + | 0.746019i | ||||
\(215\) | −1.18339 | + | 1.66183i | −0.0807062 | + | 0.113336i | ||||
\(216\) | 5.54126 | + | 14.3453i | 0.377035 | + | 0.976077i | ||||
\(217\) | −2.57198 | − | 15.1259i | −0.174598 | − | 1.02681i | ||||
\(218\) | −7.30694 | + | 1.98826i | −0.494889 | + | 0.134662i | ||||
\(219\) | −9.65406 | − | 24.1147i | −0.652361 | − | 1.62952i | ||||
\(220\) | −10.5012 | + | 36.8166i | −0.707992 | + | 2.48218i | ||||
\(221\) | 18.9158 | − | 3.64572i | 1.27242 | − | 0.245238i | ||||
\(222\) | −16.9674 | − | 3.62225i | −1.13878 | − | 0.243110i | ||||
\(223\) | 6.96062 | − | 4.47332i | 0.466118 | − | 0.299556i | −0.286421 | − | 0.958104i | \(-0.592466\pi\) |
0.752538 | + | 0.658548i | \(0.228829\pi\) | |||||||
\(224\) | 11.9580 | + | 9.00034i | 0.798978 | + | 0.601361i | ||||
\(225\) | −1.45373 | + | 1.67770i | −0.0969154 | + | 0.111846i | ||||
\(226\) | 2.72618 | − | 7.39656i | 0.181343 | − | 0.492012i | ||||
\(227\) | 0.156503 | + | 0.219777i | 0.0103874 | + | 0.0145871i | 0.819737 | − | 0.572740i | \(-0.194120\pi\) |
−0.809350 | + | 0.587327i | \(0.800180\pi\) | |||||||
\(228\) | −17.7009 | + | 8.25005i | −1.17227 | + | 0.546373i | ||||
\(229\) | 11.1261 | − | 6.42364i | 0.735231 | − | 0.424486i | −0.0851016 | − | 0.996372i | \(-0.527121\pi\) |
0.820333 | + | 0.571886i | \(0.193788\pi\) | |||||||
\(230\) | −21.5990 | + | 8.91136i | −1.42420 | + | 0.587597i | ||||
\(231\) | 5.15572 | + | 23.4936i | 0.339222 | + | 1.54577i | ||||
\(232\) | 0.143437 | − | 0.698343i | 0.00941711 | − | 0.0458484i | ||||
\(233\) | −12.3705 | + | 1.18124i | −0.810421 | + | 0.0773858i | −0.492035 | − | 0.870575i | \(-0.663747\pi\) |
−0.318386 | + | 0.947961i | \(0.603141\pi\) | |||||||
\(234\) | −0.310874 | − | 1.80589i | −0.0203224 | − | 0.118055i | ||||
\(235\) | 0.446945 | − | 0.154689i | 0.0291554 | − | 0.0100908i | ||||
\(236\) | −7.95825 | − | 4.51286i | −0.518038 | − | 0.293762i | ||||
\(237\) | 3.06249 | + | 4.76533i | 0.198930 | + | 0.309542i | ||||
\(238\) | −15.5197 | + | 9.07870i | −1.00600 | + | 0.588484i | ||||
\(239\) | 5.30650 | − | 4.59811i | 0.343249 | − | 0.297427i | −0.466127 | − | 0.884718i | \(-0.654351\pi\) |
0.809376 | + | 0.587291i | \(0.199806\pi\) | |||||||
\(240\) | −0.349301 | − | 22.5426i | −0.0225473 | − | 1.45512i | ||||
\(241\) | −6.91051 | + | 8.78743i | −0.445145 | + | 0.566048i | −0.955905 | − | 0.293675i | \(-0.905122\pi\) |
0.510760 | + | 0.859723i | \(0.329364\pi\) | |||||||
\(242\) | −7.16981 | + | 27.1788i | −0.460893 | + | 1.74712i | ||||
\(243\) | −0.159107 | + | 3.34006i | −0.0102067 | + | 0.214265i | ||||
\(244\) | 0.0953881 | − | 2.39224i | 0.00610660 | − | 0.153147i | ||||
\(245\) | 7.97050 | + | 22.7597i | 0.509217 | + | 1.45407i | ||||
\(246\) | 6.24238 | − | 9.30051i | 0.397999 | − | 0.592979i | ||||
\(247\) | 23.2511 | − | 5.64066i | 1.47943 | − | 0.358907i | ||||
\(248\) | −0.199767 | + | 16.4011i | −0.0126852 | + | 1.04147i | ||||
\(249\) | −1.59118 | + | 6.55893i | −0.100837 | + | 0.415655i | ||||
\(250\) | 7.97082 | − | 4.39257i | 0.504119 | − | 0.277810i | ||||
\(251\) | 0.0539240 | + | 0.375050i | 0.00340365 | + | 0.0236729i | 0.991452 | − | 0.130468i | \(-0.0416480\pi\) |
−0.988049 | + | 0.154141i | \(0.950739\pi\) | |||||||
\(252\) | 0.834012 | + | 1.49321i | 0.0525378 | + | 0.0940633i | ||||
\(253\) | −24.4268 | + | 10.6524i | −1.53570 | + | 0.669713i | ||||
\(254\) | −18.8247 | − | 13.9786i | −1.18117 | − | 0.877093i | ||||
\(255\) | 25.1446 | + | 10.0664i | 1.57462 | + | 0.630381i | ||||
\(256\) | −10.8474 | − | 11.7616i | −0.677962 | − | 0.735097i | ||||
\(257\) | −2.94630 | + | 3.08999i | −0.183785 | + | 0.192748i | −0.809181 | − | 0.587559i | \(-0.800089\pi\) |
0.625396 | + | 0.780308i | \(0.284937\pi\) | |||||||
\(258\) | 0.412152 | − | 1.30675i | 0.0256595 | − | 0.0813550i | ||||
\(259\) | −19.7910 | − | 1.37913i | −1.22976 | − | 0.0856948i | ||||
\(260\) | −5.01700 | + | 27.1613i | −0.311141 | + | 1.68447i | ||||
\(261\) | 0.0472574 | − | 0.0663637i | 0.00292516 | − | 0.00410781i | ||||
\(262\) | 13.4247 | + | 19.6703i | 0.829378 | + | 1.21524i | ||||
\(263\) | −9.49285 | − | 18.4136i | −0.585354 | − | 1.13543i | −0.976584 | − | 0.215136i | \(-0.930981\pi\) |
0.391230 | − | 0.920293i | \(-0.372050\pi\) | |||||||
\(264\) | −0.910590 | − | 25.6973i | −0.0560429 | − | 1.58156i | ||||
\(265\) | 18.5484 | + | 2.66686i | 1.13942 | + | 0.163824i | ||||
\(266\) | −18.7170 | + | 12.1800i | −1.14761 | + | 0.746804i | ||||
\(267\) | 0.435287 | − | 0.377179i | 0.0266392 | − | 0.0230830i | ||||
\(268\) | 11.8706 | − | 2.38340i | 0.725114 | − | 0.145589i | ||||
\(269\) | −2.08104 | + | 0.0991319i | −0.126883 | + | 0.00604418i | −0.110927 | − | 0.993829i | \(-0.535382\pi\) |
−0.0159556 | + | 0.999873i | \(0.505079\pi\) | |||||||
\(270\) | 10.3331 | − | 24.3907i | 0.628853 | − | 1.48437i | ||||
\(271\) | 21.8612 | + | 4.21341i | 1.32798 | + | 0.255946i | 0.803412 | − | 0.595424i | \(-0.203016\pi\) |
0.524565 | + | 0.851371i | \(0.324228\pi\) | |||||||
\(272\) | 18.0648 | − | 6.56743i | 1.09534 | − | 0.398209i | ||||
\(273\) | 5.31392 | + | 16.5192i | 0.321613 | + | 0.999788i | ||||
\(274\) | −13.6463 | + | 8.39055i | −0.824406 | + | 0.506892i | ||||
\(275\) | 33.0501 | − | 19.0815i | 1.99299 | − | 1.15066i | ||||
\(276\) | 11.9561 | − | 10.1644i | 0.719672 | − | 0.611826i | ||||
\(277\) | −10.9581 | + | 18.9799i | −0.658406 | + | 1.14039i | 0.322622 | + | 0.946528i | \(0.395436\pi\) |
−0.981028 | + | 0.193865i | \(0.937898\pi\) | |||||||
\(278\) | 1.63822 | + | 0.886314i | 0.0982537 | + | 0.0531576i | ||||
\(279\) | −0.778657 | + | 1.70502i | −0.0466170 | + | 0.102077i | ||||
\(280\) | −4.01171 | − | 25.4660i | −0.239745 | − | 1.52188i | ||||
\(281\) | 1.68845 | − | 1.94857i | 0.100724 | − | 0.116242i | −0.703149 | − | 0.711042i | \(-0.748223\pi\) |
0.803874 | + | 0.594800i | \(0.202769\pi\) | |||||||
\(282\) | −0.253555 | + | 0.191346i | −0.0150990 | + | 0.0113945i | ||||
\(283\) | 0.470147 | + | 9.86960i | 0.0279473 | + | 0.586687i | 0.968796 | + | 0.247860i | \(0.0797272\pi\) |
−0.940849 | + | 0.338827i | \(0.889970\pi\) | |||||||
\(284\) | 8.60117 | + | 9.77227i | 0.510386 | + | 0.579878i | ||||
\(285\) | 31.7888 | + | 11.0022i | 1.88300 | + | 0.651714i | ||||
\(286\) | −5.10363 | + | 31.0860i | −0.301784 | + | 1.83815i | ||||
\(287\) | 5.57546 | − | 11.5311i | 0.329109 | − | 0.680662i | ||||
\(288\) | −0.590355 | − | 1.73050i | −0.0347870 | − | 0.101971i | ||||
\(289\) | −0.289859 | + | 6.08489i | −0.0170505 | + | 0.357935i | ||||
\(290\) | −1.01430 | + | 0.692242i | −0.0595617 | + | 0.0406498i | ||||
\(291\) | 1.12960 | − | 11.8297i | 0.0662181 | − | 0.693468i | ||||
\(292\) | 10.6175 | + | 29.9253i | 0.621345 | + | 1.75125i | ||||
\(293\) | −0.141859 | + | 0.483126i | −0.00828747 | + | 0.0282245i | −0.963533 | − | 0.267590i | \(-0.913773\pi\) |
0.955245 | + | 0.295814i | \(0.0955910\pi\) | |||||||
\(294\) | −9.80350 | − | 12.8925i | −0.571752 | − | 0.751903i | ||||
\(295\) | 4.43975 | + | 15.1204i | 0.258492 | + | 0.880344i | ||||
\(296\) | 20.5485 | + | 5.25082i | 1.19436 | + | 0.305198i | ||||
\(297\) | 11.2285 | − | 28.0475i | 0.651546 | − | 1.62748i | ||||
\(298\) | 7.62017 | + | 0.881178i | 0.441425 | + | 0.0510453i | ||||
\(299\) | −16.8124 | + | 9.32557i | −0.972288 | + | 0.539312i | ||||
\(300\) | −15.3820 | + | 16.3844i | −0.888078 | + | 0.945955i | ||||
\(301\) | 0.256999 | − | 1.54558i | 0.0148132 | − | 0.0890860i | ||||
\(302\) | −0.418053 | + | 20.9770i | −0.0240563 | + | 1.20709i | ||||
\(303\) | −19.7694 | + | 20.7335i | −1.13572 | + | 1.19111i | ||||
\(304\) | 22.0227 | − | 9.21499i | 1.26309 | − | 0.528516i | ||||
\(305\) | −2.98461 | + | 2.84582i | −0.170898 | + | 0.162951i | ||||
\(306\) | 2.19157 | + | 0.148214i | 0.125284 | + | 0.00847283i | ||||
\(307\) | −0.693689 | − | 1.51897i | −0.0395909 | − | 0.0866920i | 0.888803 | − | 0.458289i | \(-0.151538\pi\) |
−0.928394 | + | 0.371597i | \(0.878810\pi\) | |||||||
\(308\) | −5.15326 | − | 28.9476i | −0.293634 | − | 1.64944i | ||||
\(309\) | 24.7910 | + | 15.9322i | 1.41031 | + | 0.906353i | ||||
\(310\) | 19.9004 | − | 20.0552i | 1.13027 | − | 1.13906i | ||||
\(311\) | −0.237768 | − | 0.186983i | −0.0134826 | − | 0.0106028i | 0.611395 | − | 0.791326i | \(-0.290609\pi\) |
−0.624878 | + | 0.780723i | \(0.714851\pi\) | |||||||
\(312\) | −2.41625 | − | 18.3930i | −0.136793 | − | 1.04130i | ||||
\(313\) | 8.36591 | + | 2.89547i | 0.472869 | + | 0.163662i | 0.553100 | − | 0.833115i | \(-0.313445\pi\) |
−0.0802310 | + | 0.996776i | \(0.525566\pi\) | |||||||
\(314\) | 5.73414 | + | 5.17226i | 0.323597 | + | 0.291887i | ||||
\(315\) | 0.757292 | − | 2.84706i | 0.0426686 | − | 0.160414i | ||||
\(316\) | −3.50862 | − | 5.96982i | −0.197375 | − | 0.335828i | ||||
\(317\) | 17.8559 | + | 3.44145i | 1.00289 | + | 0.193291i | 0.664158 | − | 0.747592i | \(-0.268790\pi\) |
0.338731 | + | 0.940883i | \(0.390002\pi\) | |||||||
\(318\) | −12.4034 | + | 2.13517i | −0.695548 | + | 0.119734i | ||||
\(319\) | −1.14087 | + | 0.812411i | −0.0638766 | + | 0.0454863i | ||||
\(320\) | −0.671267 | + | 27.5518i | −0.0375250 | + | 1.54019i | ||||
\(321\) | 14.0629i | 0.784912i | ||||||||
\(322\) | 11.9058 | − | 13.4258i | 0.663483 | − | 0.748192i | ||||
\(323\) | 28.6797i | 1.59578i | ||||||||
\(324\) | −1.38451 | + | 15.7911i | −0.0769173 | + | 0.877285i | ||||
\(325\) | 22.4275 | − | 15.9705i | 1.24405 | − | 0.885886i | ||||
\(326\) | 2.33161 | + | 13.5445i | 0.129136 | + | 0.750162i | ||||
\(327\) | −8.60235 | − | 1.65797i | −0.475711 | − | 0.0916858i | ||||
\(328\) | −8.07778 | + | 11.0562i | −0.446021 | + | 0.610474i | ||||
\(329\) | −0.256372 | + | 0.257311i | −0.0141343 | + | 0.0141860i | ||||
\(330\) | −29.6659 | + | 32.8886i | −1.63305 | + | 1.81046i | ||||
\(331\) | −22.3543 | − | 7.73690i | −1.22870 | − | 0.425258i | −0.365832 | − | 0.930681i | \(-0.619215\pi\) |
−0.862872 | + | 0.505423i | \(0.831337\pi\) | |||||||
\(332\) | 2.26301 | − | 7.93396i | 0.124199 | − | 0.435433i | ||||
\(333\) | 1.90514 | + | 1.49821i | 0.104401 | + | 0.0821017i | ||||
\(334\) | −11.9615 | − | 11.8692i | −0.654504 | − | 0.649453i | ||||
\(335\) | −17.5445 | − | 11.2752i | −0.958560 | − | 0.616029i | ||||
\(336\) | 7.83419 | + | 15.4410i | 0.427390 | + | 0.842376i | ||||
\(337\) | −9.91614 | − | 21.7133i | −0.540167 | − | 1.18280i | −0.961225 | − | 0.275766i | \(-0.911068\pi\) |
0.421058 | − | 0.907034i | \(-0.361659\pi\) | |||||||
\(338\) | −0.293010 | + | 4.33260i | −0.0159376 | + | 0.235662i | ||||
\(339\) | 6.60024 | − | 6.29332i | 0.358476 | − | 0.341806i | ||||
\(340\) | −30.2228 | − | 13.5203i | −1.63906 | − | 0.733242i | ||||
\(341\) | 22.2366 | − | 23.3211i | 1.20418 | − | 1.26291i | ||||
\(342\) | 2.72758 | + | 0.0543581i | 0.147490 | + | 0.00293935i | ||||
\(343\) | −13.1674 | − | 13.0238i | −0.710974 | − | 0.703219i | ||||
\(344\) | −0.567071 | + | 1.57607i | −0.0305744 | + | 0.0849762i | ||||
\(345\) | −26.9742 | − | 1.74949i | −1.45224 | − | 0.0941891i | ||||
\(346\) | 2.45399 | − | 21.2214i | 0.131927 | − | 1.14087i | ||||
\(347\) | 0.236087 | − | 0.589718i | 0.0126738 | − | 0.0316577i | −0.921896 | − | 0.387437i | \(-0.873360\pi\) |
0.934570 | + | 0.355780i | \(0.115785\pi\) | |||||||
\(348\) | 0.504801 | − | 0.652243i | 0.0270602 | − | 0.0349639i | ||||
\(349\) | 6.82040 | + | 23.2281i | 0.365087 | + | 1.24337i | 0.913387 | + | 0.407092i | \(0.133457\pi\) |
−0.548300 | + | 0.836282i | \(0.684725\pi\) | |||||||
\(350\) | −14.7866 | + | 21.0175i | −0.790378 | + | 1.12343i | ||||
\(351\) | 6.14071 | − | 20.9133i | 0.327767 | − | 1.11627i | ||||
\(352\) | −0.139326 | + | 31.4325i | −0.00742610 | + | 1.67536i | ||||
\(353\) | −1.44651 | + | 15.1485i | −0.0769900 | + | 0.806276i | 0.871694 | + | 0.490050i | \(0.163022\pi\) |
−0.948684 | + | 0.316225i | \(0.897584\pi\) | |||||||
\(354\) | −5.96636 | − | 8.74215i | −0.317109 | − | 0.464640i | ||||
\(355\) | 1.06698 | − | 22.3987i | 0.0566296 | − | 1.18880i | ||||
\(356\) | −0.550056 | + | 0.439508i | −0.0291529 | + | 0.0232939i | ||||
\(357\) | −20.7452 | + | 1.52185i | −1.09795 | + | 0.0805447i | ||||
\(358\) | 11.3187 | + | 1.85828i | 0.598211 | + | 0.0982130i | ||||
\(359\) | −33.4349 | − | 11.5719i | −1.76463 | − | 0.610744i | −0.765175 | − | 0.643822i | \(-0.777348\pi\) |
−0.999453 | + | 0.0330784i | \(0.989469\pi\) | |||||||
\(360\) | −1.34313 | + | 2.84871i | −0.0707892 | + | 0.150140i | ||||
\(361\) | 0.790803 | + | 16.6010i | 0.0416212 | + | 0.873737i | ||||
\(362\) | 8.10159 | + | 10.7355i | 0.425810 | + | 0.564247i | ||||
\(363\) | −21.2951 | + | 24.5758i | −1.11770 | + | 1.28990i | ||||
\(364\) | −5.68617 | − | 20.4364i | −0.298036 | − | 1.07116i | ||||
\(365\) | 22.7210 | − | 49.7520i | 1.18927 | − | 2.60414i | ||||
\(366\) | 1.31797 | − | 2.43607i | 0.0688915 | − | 0.127336i | ||||
\(367\) | 0.102592 | − | 0.177694i | 0.00535525 | − | 0.00927557i | −0.863335 | − | 0.504631i | \(-0.831629\pi\) |
0.868691 | + | 0.495355i | \(0.164962\pi\) | |||||||
\(368\) | −15.0989 | + | 11.8331i | −0.787086 | + | 0.616843i | ||||
\(369\) | −1.35512 | + | 0.782376i | −0.0705445 | + | 0.0407289i | ||||
\(370\) | −19.1345 | − | 31.1203i | −0.994757 | − | 1.61787i | ||||
\(371\) | −13.7002 | + | 4.40711i | −0.711281 | + | 0.228806i | ||||
\(372\) | −8.56424 | + | 16.9331i | −0.444035 | + | 0.877941i | ||||
\(373\) | −23.5292 | − | 4.53487i | −1.21829 | − | 0.234807i | −0.460714 | − | 0.887549i | \(-0.652406\pi\) |
−0.757580 | + | 0.652742i | \(0.773619\pi\) | |||||||
\(374\) | −34.7702 | − | 14.7304i | −1.79793 | − | 0.761689i | ||||
\(375\) | 10.5169 | − | 0.500983i | 0.543092 | − | 0.0258707i | ||||
\(376\) | 0.319027 | − | 0.221372i | 0.0164525 | − | 0.0114164i | ||||
\(377\) | −0.763643 | + | 0.661701i | −0.0393296 | + | 0.0340793i | ||||
\(378\) | 1.08383 | + | 20.3148i | 0.0557462 | + | 1.04488i | ||||
\(379\) | 28.5849 | + | 4.10989i | 1.46831 | + | 0.211111i | 0.829609 | − | 0.558345i | \(-0.188564\pi\) |
0.638699 | + | 0.769456i | \(0.279473\pi\) | |||||||
\(380\) | −38.2928 | − | 14.9870i | −1.96438 | − | 0.768816i | ||||
\(381\) | −12.4297 | − | 24.1103i | −0.636795 | − | 1.23521i | ||||
\(382\) | 1.02098 | − | 0.696804i | 0.0522381 | − | 0.0356516i | ||||
\(383\) | −14.2661 | + | 20.0339i | −0.728962 | + | 1.02368i | 0.269201 | + | 0.963084i | \(0.413241\pi\) |
−0.998162 | + | 0.0605992i | \(0.980699\pi\) | |||||||
\(384\) | −5.27376 | − | 17.7430i | −0.269126 | − | 0.905445i | ||||
\(385\) | −28.3109 | + | 41.9945i | −1.44286 | + | 2.14024i | ||||
\(386\) | 29.2151 | + | 9.21447i | 1.48701 | + | 0.469004i | ||||
\(387\) | −0.132089 | + | 0.138531i | −0.00671447 | + | 0.00704193i | ||||
\(388\) | −1.95591 | + | 14.3944i | −0.0992965 | + | 0.730767i | ||||
\(389\) | −7.54315 | − | 3.01982i | −0.382453 | − | 0.153111i | 0.172466 | − | 0.985015i | \(-0.444826\pi\) |
−0.554919 | + | 0.831904i | \(0.687251\pi\) | |||||||
\(390\) | −19.0502 | + | 25.6546i | −0.964642 | + | 1.29907i | ||||
\(391\) | −6.11222 | − | 22.2205i | −0.309108 | − | 1.12374i | ||||
\(392\) | 11.3467 | + | 16.2251i | 0.573093 | + | 0.819491i | ||||
\(393\) | 3.92092 | + | 27.2706i | 0.197784 | + | 1.37562i | ||||
\(394\) | 17.0574 | + | 30.9527i | 0.859342 | + | 1.55938i | ||||
\(395\) | −2.81202 | + | 11.5913i | −0.141488 | + | 0.583221i | ||||
\(396\) | −1.46683 | + | 3.27890i | −0.0737110 | + | 0.164771i | ||||
\(397\) | 34.3522 | − | 8.33375i | 1.72409 | − | 0.418259i | 0.753200 | − | 0.657792i | \(-0.228509\pi\) |
0.970888 | + | 0.239533i | \(0.0769943\pi\) | |||||||
\(398\) | 10.0909 | + | 6.77290i | 0.505813 | + | 0.339495i | ||||
\(399\) | −25.6462 | + | 3.11394i | −1.28392 | + | 0.155892i | ||||
\(400\) | 19.5864 | − | 19.2637i | 0.979321 | − | 0.963186i | ||||
\(401\) | −1.16684 | + | 24.4951i | −0.0582694 | + | 1.22322i | 0.760591 | + | 0.649232i | \(0.224909\pi\) |
−0.818860 | + | 0.573993i | \(0.805394\pi\) | |||||||
\(402\) | 13.5437 | + | 3.57286i | 0.675499 | + | 0.178198i | ||||
\(403\) | 14.3707 | − | 18.2738i | 0.715855 | − | 0.910284i | ||||
\(404\) | 25.1573 | − | 24.3623i | 1.25162 | − | 1.21207i | ||||
\(405\) | 20.6354 | − | 17.8807i | 1.02538 | − | 0.888499i | ||||
\(406\) | 0.466889 | − | 0.819429i | 0.0231713 | − | 0.0406676i | ||||
\(407\) | −22.5263 | − | 35.0516i | −1.11659 | − | 1.73744i | ||||
\(408\) | 22.1091 | + | 2.38323i | 1.09456 | + | 0.117987i | ||||
\(409\) | −36.5586 | + | 12.6530i | −1.80771 | + | 0.625653i | −0.808391 | + | 0.588647i | \(0.799661\pi\) |
−0.999315 | + | 0.0370064i | \(0.988218\pi\) | |||||||
\(410\) | 23.2438 | − | 4.00127i | 1.14793 | − | 0.197609i | ||||
\(411\) | −18.4488 | + | 1.76165i | −0.910014 | + | 0.0868958i | ||||
\(412\) | −29.5053 | − | 20.6680i | −1.45362 | − | 1.01824i | ||||
\(413\) | −8.15734 | − | 8.94049i | −0.401396 | − | 0.439933i | ||||
\(414\) | −2.12486 | + | 0.539186i | −0.104431 | + | 0.0264995i | ||||
\(415\) | −12.3074 | + | 7.10566i | −0.604144 | + | 0.348803i | ||||
\(416\) | 2.05553 | + | 22.5839i | 0.100781 | + | 1.10727i | ||||
\(417\) | 1.24992 | + | 1.75527i | 0.0612089 | + | 0.0859559i | ||||
\(418\) | −44.0058 | − | 16.2194i | −2.15239 | − | 0.793318i | ||||
\(419\) | −11.4745 | + | 13.2423i | −0.560568 | + | 0.646930i | −0.963312 | − | 0.268383i | \(-0.913511\pi\) |
0.402744 | + | 0.915312i | \(0.368056\pi\) | |||||||
\(420\) | 8.80877 | − | 28.4941i | 0.429824 | − | 1.39037i | ||||
\(421\) | 25.5233 | − | 16.4028i | 1.24393 | − | 0.799426i | 0.257929 | − | 0.966164i | \(-0.416960\pi\) |
0.986001 | + | 0.166738i | \(0.0533235\pi\) | |||||||
\(422\) | 0.109033 | − | 0.510733i | 0.00530764 | − | 0.0248621i | ||||
\(423\) | 0.0435727 | − | 0.00839795i | 0.00211858 | − | 0.000408322i | ||||
\(424\) | 15.2542 | − | 2.00392i | 0.740811 | − | 0.0973190i | ||||
\(425\) | 12.2662 | + | 30.6395i | 0.594998 | + | 1.48623i | ||||
\(426\) | 3.95433 | + | 14.5324i | 0.191588 | + | 0.704096i | ||||
\(427\) | 1.10138 | − | 2.96948i | 0.0532994 | − | 0.143703i | ||||
\(428\) | 0.684924 | − | 17.1772i | 0.0331071 | − | 0.830291i | ||||
\(429\) | −21.1398 | + | 29.6868i | −1.02064 | + | 1.43329i | ||||
\(430\) | 2.59027 | − | 1.27070i | 0.124914 | − | 0.0612786i | ||||
\(431\) | 1.37538 | + | 1.44246i | 0.0662497 | + | 0.0694807i | 0.756025 | − | 0.654543i | \(-0.227139\pi\) |
−0.689775 | + | 0.724024i | \(0.742291\pi\) | |||||||
\(432\) | 2.76121 | − | 21.5723i | 0.132849 | − | 1.03790i | ||||
\(433\) | 5.68102 | + | 19.3478i | 0.273012 | + | 0.929795i | 0.975849 | + | 0.218444i | \(0.0700981\pi\) |
−0.702837 | + | 0.711351i | \(0.748084\pi\) | |||||||
\(434\) | −6.97979 | + | 20.5450i | −0.335041 | + | 0.986193i | ||||
\(435\) | −1.40621 | + | 0.202182i | −0.0674224 | + | 0.00969388i | ||||
\(436\) | 10.4267 | + | 2.44411i | 0.499347 | + | 0.117052i | ||||
\(437\) | −8.89585 | − | 27.2051i | −0.425546 | − | 1.30140i | ||||
\(438\) | −4.21979 | + | 36.4915i | −0.201629 | + | 1.74363i | ||||
\(439\) | −5.54179 | + | 4.35811i | −0.264495 | + | 0.208001i | −0.741595 | − | 0.670848i | \(-0.765930\pi\) |
0.477100 | + | 0.878849i | \(0.341688\pi\) | |||||||
\(440\) | 37.8375 | − | 38.7273i | 1.80383 | − | 1.84625i | ||||
\(441\) | 0.436312 | + | 2.22009i | 0.0207767 | + | 0.105719i | ||||
\(442\) | −25.9816 | − | 8.19464i | −1.23582 | − | 0.389779i | ||||
\(443\) | 21.4652 | − | 5.20739i | 1.01984 | − | 0.247411i | 0.309223 | − | 0.950990i | \(-0.399931\pi\) |
0.710617 | + | 0.703579i | \(0.248416\pi\) | |||||||
\(444\) | 18.6672 | + | 15.9237i | 0.885904 | + | 0.755704i | ||||
\(445\) | 1.20729 | + | 0.115282i | 0.0572309 | + | 0.00546489i | ||||
\(446\) | −11.6682 | + | 0.879968i | −0.552506 | + | 0.0416677i | ||||
\(447\) | 7.46564 | + | 4.79788i | 0.353113 | + | 0.226932i | ||||
\(448\) | −8.81710 | − | 19.2421i | −0.416569 | − | 0.909104i | ||||
\(449\) | 4.31877 | − | 30.0377i | 0.203815 | − | 1.41757i | −0.589014 | − | 0.808123i | \(-0.700484\pi\) |
0.792829 | − | 0.609444i | \(-0.208607\pi\) | |||||||
\(450\) | 2.93721 | − | 1.10850i | 0.138461 | − | 0.0522553i | ||||
\(451\) | 26.4139 | − | 5.09086i | 1.24378 | − | 0.239719i | ||||
\(452\) | −8.36844 | + | 7.36557i | −0.393618 | + | 0.346447i | ||||
\(453\) | −11.1225 | + | 21.5746i | −0.522580 | + | 1.01366i | ||||
\(454\) | −0.0467659 | − | 0.378686i | −0.00219483 | − | 0.0177726i | ||||
\(455\) | −17.4526 | + | 32.1013i | −0.818188 | + | 1.50493i | ||||
\(456\) | 27.5690 | + | 1.65002i | 1.29104 | + | 0.0772693i | ||||
\(457\) | 5.21748 | − | 0.498209i | 0.244064 | − | 0.0233053i | 0.0276927 | − | 0.999616i | \(-0.491184\pi\) |
0.216371 | + | 0.976311i | \(0.430578\pi\) | |||||||
\(458\) | −18.1618 | + | 0.502729i | −0.848647 | + | 0.0234910i | ||||
\(459\) | 22.6269 | + | 13.0636i | 1.05613 | + | 0.609759i | ||||
\(460\) | 32.8626 | + | 3.45069i | 1.53223 | + | 0.160889i | ||||
\(461\) | − | 23.7160i | − | 1.10456i | −0.833658 | − | 0.552282i | \(-0.813757\pi\) | ||
0.833658 | − | 0.552282i | \(-0.186243\pi\) | |||||||
\(462\) | 9.39709 | − | 32.6919i | 0.437192 | − | 1.52096i | ||||
\(463\) | 2.45008 | + | 1.11891i | 0.113865 | + | 0.0520004i | 0.471533 | − | 0.881848i | \(-0.343701\pi\) |
−0.357668 | + | 0.933849i | \(0.616428\pi\) | |||||||
\(464\) | −0.648361 | + | 0.772102i | −0.0300994 | + | 0.0358439i | ||||
\(465\) | 30.8880 | − | 10.6904i | 1.43239 | − | 0.495757i | ||||
\(466\) | 16.1819 | + | 6.85545i | 0.749612 | + | 0.317572i | ||||
\(467\) | −15.9881 | − | 8.24244i | −0.739841 | − | 0.381414i | 0.0467357 | − | 0.998907i | \(-0.485118\pi\) |
−0.786576 | + | 0.617493i | \(0.788148\pi\) | |||||||
\(468\) | −0.828594 | + | 2.45545i | −0.0383018 | + | 0.113503i | ||||
\(469\) | 15.9069 | + | 1.87242i | 0.734514 | + | 0.0864604i | ||||
\(470\) | −0.660026 | − | 0.108362i | −0.0304447 | − | 0.00499835i | ||||
\(471\) | 3.32034 | + | 8.29380i | 0.152993 | + | 0.382158i | ||||
\(472\) | 6.86189 | + | 10.9688i | 0.315844 | + | 0.504879i | ||||
\(473\) | 2.92480 | − | 1.50784i | 0.134482 | − | 0.0693305i | ||||
\(474\) | −0.602438 | − | 7.98821i | −0.0276709 | − | 0.366911i | ||||
\(475\) | 17.0279 | + | 37.2859i | 0.781293 | + | 1.71079i | ||||
\(476\) | 25.4136 | − | 0.848488i | 1.16483 | − | 0.0388904i | ||||
\(477\) | 1.68696 | + | 0.495337i | 0.0772407 | + | 0.0226799i | ||||
\(478\) | −9.69473 | + | 2.14832i | −0.443427 | + | 0.0982620i | ||||
\(479\) | 8.86380 | − | 36.5371i | 0.404997 | − | 1.66942i | −0.295172 | − | 0.955444i | \(-0.595377\pi\) |
0.700169 | − | 0.713977i | \(-0.253108\pi\) | |||||||
\(480\) | −14.7355 | + | 28.2744i | −0.672580 | + | 1.29055i | ||||
\(481\) | −18.5818 | − | 23.6287i | −0.847257 | − | 1.07738i | ||||
\(482\) | 14.5091 | − | 6.27976i | 0.660870 | − | 0.286035i | ||||
\(483\) | 19.2066 | − | 7.87834i | 0.873930 | − | 0.358477i | ||||
\(484\) | 27.2080 | − | 28.9812i | 1.23673 | − | 1.31733i | ||||
\(485\) | 19.6688 | − | 15.4678i | 0.893116 | − | 0.702354i | ||||
\(486\) | 2.44559 | − | 4.04744i | 0.110934 | − | 0.183596i | ||||
\(487\) | 8.86112 | + | 2.14968i | 0.401536 | + | 0.0974115i | 0.431441 | − | 0.902141i | \(-0.358005\pi\) |
−0.0299052 | + | 0.999553i | \(0.509521\pi\) | |||||||
\(488\) | −1.72850 | + | 2.91137i | −0.0782454 | + | 0.131792i | ||||
\(489\) | −4.47954 | + | 15.2559i | −0.202572 | + | 0.689896i | ||||
\(490\) | 5.40205 | − | 33.6732i | 0.244040 | − | 1.52120i | ||||
\(491\) | 33.3189 | − | 15.2162i | 1.50366 | − | 0.686699i | 0.517992 | − | 0.855386i | \(-0.326680\pi\) |
0.985670 | + | 0.168687i | \(0.0539526\pi\) | |||||||
\(492\) | −14.0233 | + | 7.36757i | −0.632218 | + | 0.332156i | ||||
\(493\) | −0.555016 | − | 1.07658i | −0.0249967 | − | 0.0484868i | ||||
\(494\) | −32.7166 | − | 8.63070i | −1.47199 | − | 0.388314i | ||||
\(495\) | 5.74409 | − | 2.29958i | 0.258177 | − | 0.103359i | ||||
\(496\) | 11.2856 | − | 20.2660i | 0.506738 | − | 0.909970i | ||||
\(497\) | 6.80824 | + | 15.8188i | 0.305391 | + | 0.709569i | ||||
\(498\) | 6.39299 | − | 7.08749i | 0.286477 | − | 0.317598i | ||||
\(499\) | −5.04264 | + | 9.78135i | −0.225739 | + | 0.437873i | −0.974319 | − | 0.225171i | \(-0.927706\pi\) |
0.748580 | + | 0.663045i | \(0.230736\pi\) | |||||||
\(500\) | −12.8704 | + | 0.0997087i | −0.575582 | + | 0.00445911i | ||||
\(501\) | −6.37608 | − | 18.4225i | −0.284862 | − | 0.823056i | ||||
\(502\) | 0.185316 | − | 0.502790i | 0.00827105 | − | 0.0224406i | ||||
\(503\) | 16.2105 | − | 35.4960i | 0.722790 | − | 1.58269i | −0.0871620 | − | 0.996194i | \(-0.527780\pi\) |
0.809952 | − | 0.586496i | \(-0.199493\pi\) | |||||||
\(504\) | −0.0325275 | − | 2.41856i | −0.00144889 | − | 0.107731i | ||||
\(505\) | −60.3223 | −2.68431 | ||||||||
\(506\) | 37.5516 | + | 3.18800i | 1.66937 | + | 0.141724i | ||||
\(507\) | −2.51189 | + | 4.35072i | −0.111557 | + | 0.193222i | ||||
\(508\) | 14.0081 | + | 30.0552i | 0.621511 | + | 1.33348i | ||||
\(509\) | −3.23938 | − | 33.9243i | −0.143583 | − | 1.50367i | −0.724257 | − | 0.689531i | \(-0.757817\pi\) |
0.580674 | − | 0.814136i | \(-0.302789\pi\) | |||||||
\(510\) | −24.5017 | − | 29.4420i | −1.08496 | − | 1.30371i | ||||
\(511\) | 1.07639 | + | 41.9915i | 0.0476165 | + | 1.85760i | ||||
\(512\) | 5.57752 | + | 21.9292i | 0.246494 | + | 0.969144i | ||||
\(513\) | 28.8425 | + | 14.8693i | 1.27343 | + | 0.656497i | ||||
\(514\) | 5.74414 | − | 1.86075i | 0.253363 | − | 0.0820744i | ||||
\(515\) | 11.7433 | + | 60.9300i | 0.517471 | + | 2.68490i | ||||
\(516\) | −1.39203 | + | 1.34804i | −0.0612806 | + | 0.0593441i | ||||
\(517\) | −0.755088 | − | 0.108565i | −0.0332087 | − | 0.00477470i | ||||
\(518\) | 23.6888 | + | 15.0337i | 1.04083 | + | 0.660545i | ||||
\(519\) | 13.3616 | − | 20.7910i | 0.586509 | − | 0.912625i | ||||
\(520\) | 24.5185 | − | 30.4082i | 1.07521 | − | 1.33349i | ||||
\(521\) | −1.85833 | + | 19.4614i | −0.0814151 | + | 0.852617i | 0.858862 | + | 0.512207i | \(0.171172\pi\) |
−0.940277 | + | 0.340410i | \(0.889434\pi\) | |||||||
\(522\) | −0.103440 | + | 0.0507442i | −0.00452744 | + | 0.00222101i | ||||
\(523\) | 7.71034 | + | 31.7824i | 0.337150 | + | 1.38975i | 0.847962 | + | 0.530057i | \(0.177830\pi\) |
−0.510812 | + | 0.859692i | \(0.670655\pi\) | |||||||
\(524\) | −3.46104 | − | 33.5009i | −0.151196 | − | 1.46349i | ||||
\(525\) | −26.0669 | + | 14.2955i | −1.13765 | + | 0.623907i | ||||
\(526\) | −0.583758 | + | 29.2917i | −0.0254530 | + | 1.27718i | ||||
\(527\) | 17.2262 | + | 21.9049i | 0.750387 | + | 0.954194i | ||||
\(528\) | −16.1603 | + | 32.5761i | −0.703287 | + | 1.41769i | ||||
\(529\) | 12.6903 | + | 19.1822i | 0.551753 | + | 0.834008i | ||||
\(530\) | −21.2767 | − | 15.7993i | −0.924199 | − | 0.686277i | ||||
\(531\) | 0.210419 | + | 1.46350i | 0.00913140 | + | 0.0635103i | ||||
\(532\) | 31.4774 | − | 2.55446i | 1.36472 | − | 0.110750i | ||||
\(533\) | 18.6209 | − | 5.46760i | 0.806562 | − | 0.236828i | ||||
\(534\) | −0.795250 | + | 0.176225i | −0.0344138 | + | 0.00762600i | ||||
\(535\) | −21.4307 | + | 20.4341i | −0.926529 | + | 0.883443i | ||||
\(536\) | −16.3691 | − | 5.02374i | −0.707036 | − | 0.216992i | ||||
\(537\) | 10.8092 | + | 7.69721i | 0.466452 | + | 0.332159i | ||||
\(538\) | 2.65519 | + | 1.27712i | 0.114473 | + | 0.0550607i | ||||
\(539\) | 5.39472 | − | 38.5202i | 0.232367 | − | 1.65918i | ||||
\(540\) | −29.2664 | + | 23.3846i | −1.25943 | + | 1.00631i | ||||
\(541\) | −26.4477 | + | 10.5880i | −1.13707 | + | 0.455216i | −0.862353 | − | 0.506308i | \(-0.831010\pi\) |
−0.274721 | + | 0.961524i | \(0.588586\pi\) | |||||||
\(542\) | −24.3565 | − | 19.9523i | −1.04620 | − | 0.857024i | ||||
\(543\) | 2.94465 | + | 15.2783i | 0.126367 | + | 0.655655i | ||||
\(544\) | −26.8893 | − | 3.98783i | −1.15287 | − | 0.170977i | ||||
\(545\) | −9.97309 | − | 15.5184i | −0.427200 | − | 0.664736i | ||||
\(546\) | 4.50689 | − | 24.1233i | 0.192877 | − | 1.03238i | ||||
\(547\) | −2.93772 | − | 2.54554i | −0.125608 | − | 0.108840i | 0.589792 | − | 0.807555i | \(-0.299210\pi\) |
−0.715399 | + | 0.698716i | \(0.753755\pi\) | |||||||
\(548\) | 22.6203 | − | 1.25324i | 0.966291 | − | 0.0535359i | ||||
\(549\) | −0.315176 | + | 0.224436i | −0.0134514 | + | 0.00957869i | ||||
\(550\) | −53.9499 | + | 1.49336i | −2.30043 | + | 0.0636770i | ||||
\(551\) | −0.752164 | − | 1.30279i | −0.0320433 | − | 0.0555006i | ||||
\(552\) | −21.7116 | + | 4.59709i | −0.924107 | + | 0.195665i | ||||
\(553\) | −1.96352 | − | 8.94737i | −0.0834973 | − | 0.380481i | ||||
\(554\) | 26.4026 | − | 16.2338i | 1.12174 | − | 0.689709i | ||||
\(555\) | −4.01742 | − | 42.0723i | −0.170530 | − | 1.78587i | ||||
\(556\) | −1.44124 | − | 2.20487i | −0.0611222 | − | 0.0935072i | ||||
\(557\) | −12.7122 | − | 36.7295i | −0.538633 | − | 1.55628i | −0.805532 | − | 0.592553i | \(-0.798120\pi\) |
0.266899 | − | 0.963725i | \(-0.414001\pi\) | |||||||
\(558\) | 2.11591 | − | 1.59678i | 0.0895738 | − | 0.0675971i | ||||
\(559\) | 1.99714 | − | 1.28349i | 0.0844701 | − | 0.0542857i | ||||
\(560\) | −12.1473 | + | 34.3753i | −0.513319 | + | 1.45262i | ||||
\(561\) | −28.6083 | − | 33.0158i | −1.20785 | − | 1.39393i | ||||
\(562\) | −3.41145 | + | 1.28748i | −0.143903 | + | 0.0543090i | ||||
\(563\) | −4.93782 | − | 3.88314i | −0.208104 | − | 0.163655i | 0.508667 | − | 0.860963i | \(-0.330138\pi\) |
−0.716771 | + | 0.697308i | \(0.754381\pi\) | |||||||
\(564\) | 0.444148 | − | 0.0673748i | 0.0187020 | − | 0.00283699i | ||||
\(565\) | 19.1810 | + | 0.913705i | 0.806952 | + | 0.0384399i | ||||
\(566\) | 6.05694 | − | 12.5926i | 0.254592 | − | 0.529307i | ||||
\(567\) | −8.21954 | + | 19.2918i | −0.345188 | + | 0.810180i | ||||
\(568\) | −4.12227 | − | 17.9433i | −0.172966 | − | 0.752884i | ||||
\(569\) | −1.88095 | − | 7.75336i | −0.0788533 | − | 0.325038i | 0.918699 | − | 0.394958i | \(-0.129241\pi\) |
−0.997553 | + | 0.0699199i | \(0.977726\pi\) | |||||||
\(570\) | −32.1363 | − | 35.0772i | −1.34604 | − | 1.46922i | ||||
\(571\) | 8.25032 | + | 2.00151i | 0.345265 | + | 0.0837604i | 0.404642 | − | 0.914475i | \(-0.367396\pi\) |
−0.0593767 | + | 0.998236i | \(0.518911\pi\) | |||||||
\(572\) | 27.2673 | − | 35.2315i | 1.14010 | − | 1.47311i | ||||
\(573\) | 1.41547 | − | 0.203514i | 0.0591323 | − | 0.00850194i | ||||
\(574\) | −14.6948 | + | 10.5909i | −0.613351 | + | 0.442057i | ||||
\(575\) | −21.1393 | − | 25.2595i | −0.881569 | − | 1.05339i | ||||
\(576\) | −0.430226 | + | 2.54974i | −0.0179261 | + | 0.106239i | ||||
\(577\) | 10.1975 | − | 25.4720i | 0.424526 | − | 1.06041i | −0.549805 | − | 0.835293i | \(-0.685298\pi\) |
0.974331 | − | 0.225121i | \(-0.0722778\pi\) | |||||||
\(578\) | 4.45535 | − | 7.37358i | 0.185318 | − | 0.306701i | ||||
\(579\) | 25.6490 | + | 24.4563i | 1.06594 | + | 1.01637i | ||||
\(580\) | 1.72747 | − | 0.178468i | 0.0717293 | − | 0.00741050i | ||||
\(581\) | 6.10099 | − | 9.04979i | 0.253112 | − | 0.375449i | ||||
\(582\) | −9.36579 | + | 13.9541i | −0.388224 | + | 0.578415i | ||||
\(583\) | −24.6208 | − | 17.5324i | −1.01969 | − | 0.726116i | ||||
\(584\) | 6.93160 | − | 44.3674i | 0.286832 | − | 1.83593i | ||||
\(585\) | 3.96761 | − | 2.04545i | 0.164041 | − | 0.0845688i | ||||
\(586\) | 0.501568 | − | 0.505469i | 0.0207196 | − | 0.0208807i | ||||
\(587\) | 1.05018 | − | 7.30416i | 0.0433456 | − | 0.301475i | −0.956604 | − | 0.291392i | \(-0.905881\pi\) |
0.999949 | − | 0.0100826i | \(-0.00320944\pi\) | |||||||
\(588\) | 3.51806 | + | 22.6334i | 0.145082 | + | 0.933386i | ||||
\(589\) | 22.6650 | + | 26.1568i | 0.933896 | + | 1.07777i | ||||
\(590\) | 4.65289 | − | 21.7951i | 0.191556 | − | 0.897290i | ||||
\(591\) | 1.94545 | + | 40.8399i | 0.0800249 | + | 1.67993i | ||||
\(592\) | −22.0256 | − | 20.3593i | −0.905247 | − | 0.836762i | ||||
\(593\) | −3.59732 | + | 18.6647i | −0.147724 | + | 0.766467i | 0.830193 | + | 0.557476i | \(0.188230\pi\) |
−0.977918 | + | 0.208991i | \(0.932982\pi\) | |||||||
\(594\) | −32.8410 | + | 27.3305i | −1.34748 | + | 1.12138i | ||||
\(595\) | −32.4632 | − | 29.4028i | −1.33086 | − | 1.20540i | ||||
\(596\) | −8.88530 | − | 6.22402i | −0.363956 | − | 0.254946i | ||||
\(597\) | 7.02992 | + | 12.1762i | 0.287715 | + | 0.498338i | ||||
\(598\) | 27.1876 | − | 0.285649i | 1.11178 | − | 0.0116811i | ||||
\(599\) | 28.5282 | + | 16.4708i | 1.16563 | + | 0.672978i | 0.952647 | − | 0.304077i | \(-0.0983481\pi\) |
0.212985 | + | 0.977055i | \(0.431681\pi\) | |||||||
\(600\) | 30.1586 | − | 10.0284i | 1.23122 | − | 0.409407i | ||||
\(601\) | 2.61443 | + | 1.19397i | 0.106645 | + | 0.0487031i | 0.468023 | − | 0.883716i | \(-0.344966\pi\) |
−0.361378 | + | 0.932419i | \(0.617694\pi\) | |||||||
\(602\) | −1.35976 | + | 1.74952i | −0.0554198 | + | 0.0713049i | ||||
\(603\) | −1.47879 | − | 1.28138i | −0.0602209 | − | 0.0521817i | ||||
\(604\) | 14.6364 | − | 25.8108i | 0.595548 | − | 1.05023i | ||||
\(605\) | −68.3945 | + | 3.25803i | −2.78063 | + | 0.132458i | ||||
\(606\) | 38.5426 | − | 12.4855i | 1.56568 | − | 0.507188i | ||||
\(607\) | 2.28887 | − | 6.61324i | 0.0929022 | − | 0.268423i | −0.888971 | − | 0.457964i | \(-0.848579\pi\) |
0.981873 | + | 0.189541i | \(0.0607000\pi\) | |||||||
\(608\) | −33.5940 | − | 3.35817i | −1.36242 | − | 0.136192i | ||||
\(609\) | 0.902448 | − | 0.613202i | 0.0365690 | − | 0.0248482i | ||||
\(610\) | 5.62747 | − | 1.53126i | 0.227850 | − | 0.0619990i | ||||
\(611\) | −0.549738 | − | 0.0261873i | −0.0222400 | − | 0.00105942i | ||||
\(612\) | −2.62623 | − | 1.65917i | −0.106159 | − | 0.0670678i | ||||
\(613\) | 37.5514 | + | 3.58573i | 1.51669 | + | 0.144826i | 0.819923 | − | 0.572474i | \(-0.194016\pi\) |
0.696764 | + | 0.717300i | \(0.254622\pi\) | |||||||
\(614\) | −0.159346 | + | 2.35617i | −0.00643068 | + | 0.0950873i | ||||
\(615\) | 26.1807 | + | 7.68734i | 1.05571 | + | 0.309983i | ||||
\(616\) | −13.0704 | + | 39.4741i | −0.526621 | + | 1.59046i | ||||
\(617\) | −31.7199 | + | 9.31380i | −1.27700 | + | 0.374960i | −0.848794 | − | 0.528724i | \(-0.822671\pi\) |
−0.428201 | + | 0.903683i | \(0.640853\pi\) | |||||||
\(618\) | −20.1146 | − | 36.5002i | −0.809126 | − | 1.46825i | ||||
\(619\) | 2.48244 | + | 0.993820i | 0.0997778 | + | 0.0399450i | 0.421014 | − | 0.907054i | \(-0.361674\pi\) |
−0.321237 | + | 0.946999i | \(0.604098\pi\) | |||||||
\(620\) | −38.2490 | + | 11.5535i | −1.53612 | + | 0.464001i | ||||
\(621\) | −25.5156 | − | 5.37359i | −1.02391 | − | 0.215635i | ||||
\(622\) | 0.169916 | + | 0.392583i | 0.00681302 | + | 0.0157411i | ||||
\(623\) | −0.872088 | + | 0.327089i | −0.0349395 | + | 0.0131046i | ||||
\(624\) | −9.37207 | + | 24.5039i | −0.375183 | + | 0.980943i | ||||
\(625\) | −8.80801 | − | 8.39843i | −0.352321 | − | 0.335937i | ||||
\(626\) | −8.45737 | − | 9.23133i | −0.338025 | − | 0.368958i | ||||
\(627\) | −37.4421 | − | 39.2681i | −1.49529 | − | 1.56822i | ||||
\(628\) | −3.65171 | − | 10.2922i | −0.145719 | − | 0.410705i | ||||
\(629\) | 32.7768 | − | 14.9686i | 1.30690 | − | 0.596839i | ||||
\(630\) | −2.85787 | + | 3.03167i | −0.113860 | + | 0.120785i | ||||
\(631\) | −22.2483 | + | 34.6190i | −0.885689 | + | 1.37816i | 0.0397284 | + | 0.999211i | \(0.487351\pi\) |
−0.925418 | + | 0.378949i | \(0.876286\pi\) | |||||||
\(632\) | 0.346791 | + | 9.78662i | 0.0137946 | + | 0.389291i | ||||
\(633\) | 0.373476 | − | 0.474914i | 0.0148444 | − | 0.0188761i | ||||
\(634\) | −19.8940 | − | 16.2967i | −0.790093 | − | 0.647226i | ||||
\(635\) | 18.6811 | − | 53.9756i | 0.741338 | − | 2.14196i | ||||
\(636\) | 16.8647 | + | 5.69102i | 0.668730 | + | 0.225664i | ||||
\(637\) | 1.23275 | − | 28.0346i | 0.0488434 | − | 1.11077i | ||||
\(638\) | 1.96577 | − | 0.242764i | 0.0778258 | − | 0.00961112i | ||||
\(639\) | 0.398169 | − | 2.06590i | 0.0157513 | − | 0.0817256i | ||||
\(640\) | 19.3759 | − | 33.8184i | 0.765899 | − | 1.33679i | ||||
\(641\) | 7.50011 | + | 10.5324i | 0.296237 | + | 0.416006i | 0.935690 | − | 0.352824i | \(-0.114779\pi\) |
−0.639453 | + | 0.768830i | \(0.720839\pi\) | |||||||
\(642\) | 9.46356 | − | 17.4920i | 0.373497 | − | 0.690353i | ||||
\(643\) | −6.09757 | −0.240465 | −0.120232 | − | 0.992746i | \(-0.538364\pi\) | ||||
−0.120232 | + | 0.992746i | \(0.538364\pi\) | |||||||
\(644\) | −23.8438 | + | 8.68763i | −0.939576 | + | 0.342340i | ||||
\(645\) | 3.33781 | 0.131426 | ||||||||
\(646\) | 19.2999 | − | 35.6730i | 0.759346 | − | 1.40354i | ||||
\(647\) | 2.63258 | + | 3.69695i | 0.103498 | + | 0.145342i | 0.863077 | − | 0.505073i | \(-0.168534\pi\) |
−0.759579 | + | 0.650415i | \(0.774595\pi\) | |||||||
\(648\) | 12.3487 | − | 18.7100i | 0.485103 | − | 0.734997i | ||||
\(649\) | 4.81038 | − | 24.9586i | 0.188824 | − | 0.979712i | ||||
\(650\) | −38.6436 | + | 4.77230i | −1.51573 | + | 0.187185i | ||||
\(651\) | −17.7177 | + | 17.7825i | −0.694410 | + | 0.696953i | ||||
\(652\) | 6.21461 | − | 18.4163i | 0.243383 | − | 0.721238i | ||||
\(653\) | −13.7797 | + | 39.8138i | −0.539241 | + | 1.55804i | 0.265317 | + | 0.964161i | \(0.414523\pi\) |
−0.804558 | + | 0.593874i | \(0.797598\pi\) | |||||||
\(654\) | 9.58424 | + | 7.85118i | 0.374773 | + | 0.307005i | ||||
\(655\) | −35.8609 | + | 45.6009i | −1.40120 | + | 1.78177i | ||||
\(656\) | 17.4877 | − | 8.31619i | 0.682780 | − | 0.324693i | ||||
\(657\) | 2.77438 | − | 4.31703i | 0.108239 | − | 0.168423i | ||||
\(658\) | 0.492043 | − | 0.147529i | 0.0191818 | − | 0.00575129i | ||||
\(659\) | −2.82797 | + | 1.29149i | −0.110162 | + | 0.0503093i | −0.469734 | − | 0.882808i | \(-0.655650\pi\) |
0.359572 | + | 0.933117i | \(0.382923\pi\) | |||||||
\(660\) | 59.0320 | − | 20.9447i | 2.29782 | − | 0.815270i | ||||
\(661\) | 2.88183 | + | 3.02238i | 0.112090 | + | 0.117557i | 0.777388 | − | 0.629021i | \(-0.216544\pi\) |
−0.665298 | + | 0.746578i | \(0.731696\pi\) | |||||||
\(662\) | 22.5987 | + | 24.6667i | 0.878323 | + | 0.958700i | ||||
\(663\) | −22.8103 | − | 21.7495i | −0.885877 | − | 0.844682i | ||||
\(664\) | −8.15396 | + | 8.34571i | −0.316435 | + | 0.323876i | ||||
\(665\) | −42.0107 | − | 34.5581i | −1.62911 | − | 1.34010i | ||||
\(666\) | −1.36147 | − | 3.14560i | −0.0527557 | − | 0.121889i | ||||
\(667\) | 0.860413 | + | 0.849074i | 0.0333153 | + | 0.0328763i | ||||
\(668\) | 6.89087 | + | 22.8128i | 0.266616 | + | 0.882656i | ||||
\(669\) | −12.5675 | − | 5.03125i | −0.485886 | − | 0.194519i | ||||
\(670\) | 14.2350 | + | 25.8311i | 0.549947 | + | 0.997942i | ||||
\(671\) | 6.38219 | − | 1.87398i | 0.246382 | − | 0.0723442i | ||||
\(672\) | 0.646486 | − | 24.4782i | 0.0249387 | − | 0.944265i | ||||
\(673\) | 46.2215 | + | 13.5719i | 1.78171 | + | 0.523157i | 0.995496 | − | 0.0948000i | \(-0.0302212\pi\) |
0.786212 | + | 0.617957i | \(0.212039\pi\) | |||||||
\(674\) | −2.27782 | + | 33.6810i | −0.0877382 | + | 1.29734i | ||||
\(675\) | 37.1730 | + | 3.54959i | 1.43079 | + | 0.136624i | ||||
\(676\) | 3.28007 | − | 5.19189i | 0.126157 | − | 0.199688i | ||||
\(677\) | −44.0733 | − | 2.09947i | −1.69387 | − | 0.0806892i | −0.821711 | − | 0.569904i | \(-0.806980\pi\) |
−0.872163 | + | 0.489215i | \(0.837283\pi\) | |||||||
\(678\) | −12.4447 | + | 3.38627i | −0.477937 | + | 0.130049i | ||||
\(679\) | −8.36517 | + | 17.3008i | −0.321026 | + | 0.663945i | ||||
\(680\) | 28.4939 | + | 37.1555i | 1.09269 | + | 1.42485i | ||||
\(681\) | 0.144376 | − | 0.417147i | 0.00553250 | − | 0.0159851i | ||||
\(682\) | −43.3527 | + | 14.0437i | −1.66006 | + | 0.537760i | ||||
\(683\) | 18.1447 | − | 0.864339i | 0.694288 | − | 0.0330730i | 0.302528 | − | 0.953140i | \(-0.402169\pi\) |
0.391760 | + | 0.920067i | \(0.371866\pi\) | |||||||
\(684\) | −3.35609 | − | 1.90313i | −0.128323 | − | 0.0727680i | ||||
\(685\) | −29.4918 | − | 25.5548i | −1.12682 | − | 0.976398i | ||||
\(686\) | 7.61385 | + | 25.0605i | 0.290698 | + | 0.956815i | ||||
\(687\) | −19.1198 | − | 8.73171i | −0.729465 | − | 0.333136i | ||||
\(688\) | 1.76596 | − | 1.57878i | 0.0673266 | − | 0.0601903i | ||||
\(689\) | −18.8846 | − | 10.9030i | −0.719446 | − | 0.415372i | ||||
\(690\) | 32.3743 | + | 20.3283i | 1.23247 | + | 0.773884i | ||||
\(691\) | 11.7704 | + | 20.3870i | 0.447769 | + | 0.775559i | 0.998240 | − | 0.0592954i | \(-0.0188854\pi\) |
−0.550472 | + | 0.834854i | \(0.685552\pi\) | |||||||
\(692\) | −17.3333 | + | 24.7446i | −0.658911 | + | 0.940650i | ||||
\(693\) | −3.18993 | + | 3.52195i | −0.121175 | + | 0.133788i | ||||
\(694\) | −0.690504 | + | 0.574641i | −0.0262112 | + | 0.0218131i | ||||
\(695\) | −0.858686 | + | 4.45529i | −0.0325718 | + | 0.168999i | ||||
\(696\) | −1.06682 | + | 0.471582i | −0.0404376 | + | 0.0178753i | ||||
\(697\) | 1.10691 | + | 23.2370i | 0.0419274 | + | 0.880164i | ||||
\(698\) | 7.14782 | − | 33.4819i | 0.270549 | − | 1.26731i | ||||
\(699\) | 13.3142 | + | 15.3654i | 0.503589 | + | 0.581173i | ||||
\(700\) | 32.5359 | − | 16.1918i | 1.22974 | − | 0.611993i | ||||
\(701\) | −3.89715 | + | 27.1053i | −0.147193 | + | 1.02375i | 0.773592 | + | 0.633684i | \(0.218458\pi\) |
−0.920786 | + | 0.390069i | \(0.872451\pi\) | |||||||
\(702\) | −21.7117 | + | 21.8805i | −0.819454 | + | 0.825827i | ||||
\(703\) | 39.7776 | − | 20.5068i | 1.50024 | − | 0.773428i | ||||
\(704\) | 21.3258 | − | 39.0033i | 0.803745 | − | 1.46999i | ||||
\(705\) | −0.630317 | − | 0.448847i | −0.0237391 | − | 0.0169045i | ||||
\(706\) | 11.9934 | − | 17.8690i | 0.451378 | − | 0.672507i | ||||
\(707\) | 41.6338 | − | 20.3186i | 1.56580 | − | 0.764160i | ||||
\(708\) | 1.53820 | + | 14.8889i | 0.0578092 | + | 0.559559i | ||||
\(709\) | −23.1564 | − | 22.0796i | −0.869656 | − | 0.829215i | 0.116815 | − | 0.993154i | \(-0.462732\pi\) |
−0.986471 | + | 0.163938i | \(0.947580\pi\) | |||||||
\(710\) | −16.4003 | + | 27.1424i | −0.615493 | + | 1.01864i | ||||
\(711\) | −0.415921 | + | 1.03892i | −0.0155983 | + | 0.0389626i | ||||
\(712\) | 0.979948 | − | 0.176519i | 0.0367251 | − | 0.00661534i | ||||
\(713\) | −23.1350 | − | 15.4355i | −0.866413 | − | 0.578063i | ||||
\(714\) | 26.8279 | + | 12.0675i | 1.00401 | + | 0.451616i | ||||
\(715\) | −75.9576 | + | 10.9211i | −2.84065 | + | 0.408424i | ||||
\(716\) | −12.8281 | − | 9.92828i | −0.479410 | − | 0.371037i | ||||
\(717\) | −11.1640 | − | 2.70835i | −0.416926 | − | 0.101145i | ||||
\(718\) | 33.8004 | + | 36.8936i | 1.26142 | + | 1.37686i | ||||
\(719\) | −1.79307 | − | 7.39114i | −0.0668702 | − | 0.275643i | 0.928554 | − | 0.371197i | \(-0.121053\pi\) |
−0.995424 | + | 0.0955546i | \(0.969538\pi\) | |||||||
\(720\) | 3.58767 | − | 2.63949i | 0.133705 | − | 0.0983678i | ||||
\(721\) | −28.6284 | − | 38.0977i | −1.06618 | − | 1.41883i | ||||
\(722\) | 10.1880 | − | 21.1812i | 0.379157 | − | 0.788282i | ||||
\(723\) | 18.2694 | + | 0.870278i | 0.679446 | + | 0.0323660i | ||||
\(724\) | −2.85265 | − | 18.8052i | −0.106018 | − | 0.698892i | ||||
\(725\) | −1.36076 | − | 1.07011i | −0.0505373 | − | 0.0397430i | ||||
\(726\) | 43.0259 | − | 16.2380i | 1.59684 | − | 0.602647i | ||||
\(727\) | −1.25672 | − | 1.45034i | −0.0466093 | − | 0.0537900i | 0.731966 | − | 0.681341i | \(-0.238603\pi\) |
−0.778576 | + | 0.627551i | \(0.784057\pi\) | |||||||
\(728\) | −6.67989 | + | 29.2461i | −0.247573 | + | 1.08393i | ||||
\(729\) | 24.6053 | − | 15.8129i | 0.911308 | − | 0.585662i | ||||
\(730\) | −61.7418 | + | 46.5936i | −2.28517 | + | 1.72451i | ||||
\(731\) | 0.930750 | + | 2.68922i | 0.0344250 | + | 0.0994646i | ||||
\(732\) | −3.27870 | + | 2.14316i | −0.121184 | + | 0.0792136i | ||||
\(733\) | −0.231379 | − | 2.42311i | −0.00854617 | − | 0.0894996i | 0.990193 | − | 0.139710i | \(-0.0446169\pi\) |
−0.998739 | + | 0.0502102i | \(0.984011\pi\) | |||||||
\(734\) | −0.247187 | + | 0.151985i | −0.00912384 | + | 0.00560986i | ||||
\(735\) | 22.7681 | − | 32.2219i | 0.839812 | − | 1.18852i | ||||
\(736\) | 26.7437 | − | 4.55771i | 0.985787 | − | 0.167999i | ||||
\(737\) | 16.8192 | + | 29.1316i | 0.619542 | + | 1.07308i | ||||
\(738\) | 2.21205 | − | 0.0612306i | 0.0814266 | − | 0.00225393i | ||||
\(739\) | 0.322339 | − | 0.229536i | 0.0118574 | − | 0.00844363i | −0.574113 | − | 0.818776i | \(-0.694653\pi\) |
0.585970 | + | 0.810333i | \(0.300714\pi\) | |||||||
\(740\) | 2.85800 | + | 51.5852i | 0.105062 | + | 1.89631i | ||||
\(741\) | −29.5833 | − | 25.6340i | −1.08677 | − | 0.941690i | ||||
\(742\) | 20.0067 | + | 3.73780i | 0.734468 | + | 0.137219i | ||||
\(743\) | −9.70825 | − | 15.1063i | −0.356161 | − | 0.554197i | 0.616227 | − | 0.787569i | \(-0.288661\pi\) |
−0.972388 | + | 0.233371i | \(0.925024\pi\) | |||||||
\(744\) | 22.0477 | − | 15.2988i | 0.808306 | − | 0.560882i | ||||
\(745\) | 3.53641 | + | 18.3486i | 0.129564 | + | 0.672242i | ||||
\(746\) | 26.2148 | + | 21.4746i | 0.959793 | + | 0.786239i | ||||
\(747\) | −1.23785 | + | 0.495559i | −0.0452905 | + | 0.0181316i | ||||
\(748\) | 33.3359 | + | 41.7208i | 1.21888 | + | 1.52546i | ||||
\(749\) | 7.90833 | − | 21.3220i | 0.288964 | − | 0.779089i | ||||
\(750\) | −13.4185 | − | 6.45420i | −0.489976 | − | 0.235674i | ||||
\(751\) | −0.0563269 | − | 0.0401102i | −0.00205540 | − | 0.00146364i | 0.579029 | − | 0.815307i | \(-0.303432\pi\) |
−0.581084 | + | 0.813843i | \(0.697371\pi\) | |||||||
\(752\) | −0.545790 | + | 0.0606635i | −0.0199029 | + | 0.00221217i | ||||
\(753\) | 0.448660 | − | 0.427796i | 0.0163501 | − | 0.0155898i | ||||
\(754\) | 1.39514 | − | 0.309159i | 0.0508081 | − | 0.0112589i | ||||
\(755\) | −49.0395 | + | 14.3993i | −1.78473 | + | 0.524045i | ||||
\(756\) | 12.3227 | − | 25.9977i | 0.448171 | − | 0.945529i | ||||
\(757\) | 6.38478 | + | 44.4071i | 0.232059 | + | 1.61401i | 0.689173 | + | 0.724597i | \(0.257974\pi\) |
−0.457114 | + | 0.889408i | \(0.651117\pi\) | |||||||
\(758\) | −32.7894 | − | 24.3482i | −1.19096 | − | 0.884366i | ||||
\(759\) | 37.3783 | + | 22.4446i | 1.35674 | + | 0.814686i | ||||
\(760\) | 37.5447 | + | 44.4105i | 1.36189 | + | 1.61094i | ||||
\(761\) | 25.1025 | + | 31.9205i | 0.909966 | + | 1.15712i | 0.987102 | + | 0.160096i | \(0.0511802\pi\) |
−0.0771353 | + | 0.997021i | \(0.524577\pi\) | |||||||
\(762\) | −0.764361 | + | 38.3540i | −0.0276899 | + | 1.38942i | ||||
\(763\) | 12.1105 | + | 7.35138i | 0.438428 | + | 0.266138i | ||||
\(764\) | −1.73886 | + | 0.179645i | −0.0629096 | + | 0.00649931i | ||||
\(765\) | 1.26150 | + | 5.19999i | 0.0456098 | + | 0.188006i | ||||
\(766\) | 31.2265 | − | 15.3187i | 1.12826 | − | 0.553486i | ||||
\(767\) | 1.74312 | − | 18.2548i | 0.0629405 | − | 0.659143i | ||||
\(768\) | −5.38040 | + | 25.6185i | −0.194148 | + | 0.924427i | ||||
\(769\) | 11.5957 | − | 18.0432i | 0.418150 | − | 0.650655i | −0.566727 | − | 0.823905i | \(-0.691791\pi\) |
0.984878 | + | 0.173251i | \(0.0554271\pi\) | |||||||
\(770\) | 63.4744 | − | 33.1827i | 2.28746 | − | 1.19582i | ||||
\(771\) | 6.91419 | + | 0.994111i | 0.249009 | + | 0.0358020i | ||||
\(772\) | −30.1381 | − | 31.1216i | −1.08469 | − | 1.12009i | ||||
\(773\) | −0.0155086 | − | 0.0804661i | −0.000557804 | − | 0.00289416i | 0.981649 | − | 0.190698i | \(-0.0610752\pi\) |
−0.982207 | + | 0.187804i | \(0.939863\pi\) | |||||||
\(774\) | 0.257522 | − | 0.0834217i | 0.00925644 | − | 0.00299853i | ||||
\(775\) | 35.4010 | + | 18.2505i | 1.27164 | + | 0.655577i | ||||
\(776\) | 12.1195 | − | 16.5882i | 0.435066 | − | 0.595481i | ||||
\(777\) | 16.9442 | + | 27.6847i | 0.607869 | + | 0.993182i | ||||
\(778\) | 7.35030 | + | 8.83232i | 0.263521 | + | 0.316654i | ||||
\(779\) | 2.74643 | + | 28.7619i | 0.0984011 | + | 1.03050i | ||||
\(780\) | 40.9595 | − | 19.0905i | 1.46659 | − | 0.683548i | ||||
\(781\) | −18.0844 | + | 31.3232i | −0.647112 | + | 1.12083i | ||||
\(782\) | −7.35062 | + | 31.7520i | −0.262857 | + | 1.13545i | ||||
\(783\) | −1.37045 | −0.0489758 | ||||||||
\(784\) | −3.19481 | − | 27.8171i | −0.114100 | − | 0.993469i | ||||
\(785\) | −7.81446 | + | 17.1113i | −0.278910 | + | 0.610728i | ||||
\(786\) | 13.4747 | − | 36.5589i | 0.480626 | − | 1.30401i | ||||
\(787\) | 6.32315 | + | 18.2695i | 0.225396 | + | 0.651238i | 0.999827 | + | 0.0185807i | \(0.00591477\pi\) |
−0.774432 | + | 0.632658i | \(0.781964\pi\) | |||||||
\(788\) | −0.387194 | − | 49.9791i | −0.0137932 | − | 1.78043i | ||||
\(789\) | −15.5311 | + | 30.1262i | −0.552922 | + | 1.07252i | ||||
\(790\) | 11.2980 | − | 12.5254i | 0.401966 | − | 0.445633i | ||||
\(791\) | −13.5463 | + | 5.83020i | −0.481652 | + | 0.207298i | ||||
\(792\) | 4.03103 | − | 3.09133i | 0.143236 | − | 0.109846i | ||||
\(793\) | 4.45508 | − | 1.78354i | 0.158205 | − | 0.0633355i | ||||
\(794\) | −48.3369 | − | 12.7514i | −1.71541 | − | 0.452529i | ||||
\(795\) | −14.0487 | − | 27.2507i | −0.498257 | − | 0.966483i | ||||
\(796\) | −7.99372 | − | 15.2151i | −0.283330 | − | 0.539284i | ||||
\(797\) | 3.95200 | − | 1.80482i | 0.139987 | − | 0.0639300i | −0.344190 | − | 0.938900i | \(-0.611846\pi\) |
0.484177 | + | 0.874970i | \(0.339119\pi\) | |||||||
\(798\) | 33.9953 | + | 13.3853i | 1.20342 | + | 0.473835i | ||||
\(799\) | 0.185865 | − | 0.632998i | 0.00657543 | − | 0.0223939i | ||||
\(800\) | −37.3259 | + | 10.7804i | −1.31967 | + | 0.381144i | ||||
\(801\) | 0.110580 | + | 0.0268264i | 0.00390715 | + | 0.000947865i | ||||
\(802\) | 17.9353 | − | 29.6827i | 0.633316 | − | 1.04813i | ||||
\(803\) | −69.3451 | + | 54.5336i | −2.44714 | + | 1.92445i | ||||
\(804\) | −14.4419 | − | 13.5583i | −0.509326 | − | 0.478163i | ||||
\(805\) | 39.9142 | + | 17.8216i | 1.40679 | + | 0.628130i | ||||
\(806\) | −30.1722 | + | 13.0590i | −1.06277 | + | 0.459984i | ||||
\(807\) | 2.10707 | + | 2.67935i | 0.0741722 | + | 0.0943176i | ||||
\(808\) | −47.6863 | + | 13.3733i | −1.67760 | + | 0.470471i | ||||
\(809\) | 8.05922 | − | 33.2206i | 0.283347 | − | 1.16797i | −0.635100 | − | 0.772430i | \(-0.719041\pi\) |
0.918447 | − | 0.395543i | \(-0.129444\pi\) | |||||||
\(810\) | −37.7000 | + | 8.35420i | −1.32464 | + | 0.293537i | ||||
\(811\) | −29.4003 | − | 8.63270i | −1.03238 | − | 0.303135i | −0.278704 | − | 0.960377i | \(-0.589905\pi\) |
−0.753680 | + | 0.657242i | \(0.771723\pi\) | |||||||
\(812\) | −1.13217 | + | 0.705048i | −0.0397313 | + | 0.0247423i | ||||
\(813\) | −15.1315 | − | 33.1335i | −0.530686 | − | 1.16204i | ||||
\(814\) | 4.43125 | + | 58.7576i | 0.155315 | + | 2.05945i | ||||
\(815\) | −29.7578 | + | 15.3412i | −1.04237 | + | 0.537380i | ||||
\(816\) | −25.8964 | − | 17.8426i | −0.906557 | − | 0.624617i | ||||
\(817\) | 1.31359 | + | 3.28120i | 0.0459568 | + | 0.114794i | ||||
\(818\) | 53.9879 | + | 8.86362i | 1.88764 | + | 0.309909i | ||||
\(819\) | −2.04943 | + | 2.74818i | −0.0716129 | + | 0.0960290i | ||||
\(820\) | −31.6042 | − | 10.6649i | −1.10367 | − | 0.372434i | ||||
\(821\) | 18.6800 | + | 9.63020i | 0.651936 | + | 0.336096i | 0.752268 | − | 0.658858i | \(-0.228960\pi\) |
−0.100332 | + | 0.994954i | \(0.531990\pi\) | |||||||
\(822\) | 24.1329 | + | 10.2239i | 0.841732 | + | 0.356599i | ||||
\(823\) | −27.1942 | + | 9.41201i | −0.947931 | + | 0.328082i | −0.756921 | − | 0.653506i | \(-0.773297\pi\) |
−0.191010 | + | 0.981588i | \(0.561176\pi\) | |||||||
\(824\) | 22.7914 | + | 45.5632i | 0.793976 | + | 1.58727i | ||||
\(825\) | −56.7954 | − | 25.9376i | −1.97736 | − | 0.903031i | ||||
\(826\) | 4.12996 | + | 16.6100i | 0.143700 | + | 0.577936i | ||||
\(827\) | 31.8983i | 1.10921i | 0.832113 | + | 0.554606i | \(0.187131\pi\) | ||||
−0.832113 | + | 0.554606i | \(0.812869\pi\) | |||||||
\(828\) | 3.00584 | + | 0.759260i | 0.104460 | + | 0.0263861i | ||||
\(829\) | 9.93953 | + | 5.73859i | 0.345214 | + | 0.199310i | 0.662575 | − | 0.748995i | \(-0.269463\pi\) |
−0.317361 | + | 0.948305i | \(0.602797\pi\) | |||||||
\(830\) | 20.0901 | − | 0.556105i | 0.697339 | − | 0.0193027i | ||||
\(831\) | 35.6943 | − | 3.40839i | 1.23822 | − | 0.118236i | ||||
\(832\) | 12.6411 | − | 29.4741i | 0.438250 | − | 1.02183i | ||||
\(833\) | 32.3096 | + | 9.35880i | 1.11946 | + | 0.324263i | ||||
\(834\) | −0.373500 | − | 3.02441i | −0.0129333 | − | 0.104727i | ||||
\(835\) | 18.8096 | − | 36.4855i | 0.650933 | − | 1.26263i | ||||
\(836\) | 43.8214 | + | 49.7880i | 1.51559 | + | 1.72195i | ||||
\(837\) | 30.9604 | − | 5.96713i | 1.07015 | − | 0.206254i | ||||
\(838\) | 23.1839 | − | 8.74959i | 0.800874 | − | 0.302250i | ||||
\(839\) | 0.703039 | − | 4.88974i | 0.0242716 | − | 0.168813i | −0.974080 | − | 0.226203i | \(-0.927369\pi\) |
0.998352 | + | 0.0573901i | \(0.0182779\pi\) | |||||||
\(840\) | −30.1317 | + | 29.5143i | −1.03964 | + | 1.01834i | ||||
\(841\) | −24.3429 | − | 15.6442i | −0.839411 | − | 0.539456i | ||||
\(842\) | −42.7852 | + | 3.22668i | −1.47448 | + | 0.111199i | ||||
\(843\) | −4.19927 | − | 0.400982i | −0.144631 | − | 0.0138105i | ||||
\(844\) | −0.479317 | + | 0.561898i | −0.0164988 | + | 0.0193413i | ||||
\(845\) | −10.2801 | + | 2.49392i | −0.353645 | + | 0.0857934i | ||||
\(846\) | −0.0598489 | − | 0.0188764i | −0.00205765 | − | 0.000648985i | ||||
\(847\) | 46.1078 | − | 25.2863i | 1.58428 | − | 0.868846i | ||||
\(848\) | −20.3224 | − | 7.77274i | −0.697874 | − | 0.266917i | ||||
\(849\) | 12.7072 | − | 9.99305i | 0.436110 | − | 0.342961i | ||||
\(850\) | 5.36156 | − | 46.3652i | 0.183900 | − | 1.59031i | ||||
\(851\) | −26.4486 | + | 24.3657i | −0.906646 | + | 0.835246i | ||||
\(852\) | 4.86096 | − | 20.7370i | 0.166534 | − | 0.710439i | ||||
\(853\) | −25.6330 | + | 3.68547i | −0.877658 | + | 0.126188i | −0.566393 | − | 0.824135i | \(-0.691662\pi\) |
−0.311265 | + | 0.950323i | \(0.600753\pi\) | |||||||
\(854\) | −3.36824 | + | 2.95239i | −0.115259 | + | 0.101029i | ||||
\(855\) | 1.87230 | + | 6.37646i | 0.0640312 | + | 0.218070i | ||||
\(856\) | −12.4113 | + | 20.9048i | −0.424209 | + | 0.714511i | ||||
\(857\) | 10.7330 | + | 11.2564i | 0.366632 | + | 0.384513i | 0.881047 | − | 0.473029i | \(-0.156839\pi\) |
−0.514415 | + | 0.857541i | \(0.671991\pi\) | |||||||
\(858\) | 46.2722 | − | 22.6996i | 1.57971 | − | 0.774952i | ||||
\(859\) | −23.0036 | + | 32.3040i | −0.784872 | + | 1.10220i | 0.207416 | + | 0.978253i | \(0.433494\pi\) |
−0.992289 | + | 0.123946i | \(0.960445\pi\) | |||||||
\(860\) | −4.07700 | − | 0.162566i | −0.139024 | − | 0.00554347i | ||||
\(861\) | −20.6590 | + | 3.51282i | −0.704056 | + | 0.119717i | ||||
\(862\) | −0.740057 | − | 2.71975i | −0.0252064 | − | 0.0926349i | ||||
\(863\) | 2.34179 | + | 5.84952i | 0.0797156 | + | 0.199120i | 0.962872 | − | 0.269959i | \(-0.0870102\pi\) |
−0.883156 | + | 0.469079i | \(0.844586\pi\) | |||||||
\(864\) | −17.9515 | + | 24.9744i | −0.610724 | + | 0.849646i | ||||
\(865\) | 51.0990 | − | 9.84853i | 1.73742 | − | 0.334860i | ||||
\(866\) | 5.95375 | − | 27.8886i | 0.202317 | − | 0.947693i | ||||
\(867\) | 8.38452 | − | 5.38840i | 0.284753 | − | 0.183000i | ||||
\(868\) | 22.5075 | − | 20.8577i | 0.763954 | − | 0.707957i | ||||
\(869\) | 12.5985 | − | 14.5394i | 0.427374 | − | 0.493216i | ||||
\(870\) | 1.88516 | + | 0.694821i | 0.0639128 | + | 0.0235566i | ||||
\(871\) | 14.0771 | + | 19.7685i | 0.476983 | + | 0.669829i | ||||
\(872\) | −11.3244 | − | 10.0567i | −0.383492 | − | 0.340563i | ||||
\(873\) | 2.03316 | − | 1.17384i | 0.0688119 | − | 0.0397286i | ||||
\(874\) | −7.24261 | + | 39.8253i | −0.244985 | + | 1.34711i | ||||
\(875\) | −16.2274 | − | 5.15467i | −0.548587 | − | 0.174260i | ||||
\(876\) | 29.8056 | − | 42.5500i | 1.00704 | − | 1.43763i | ||||
\(877\) | 53.0963 | − | 5.07008i | 1.79293 | − | 0.171204i | 0.855140 | − | 0.518397i | \(-0.173471\pi\) |
0.937794 | + | 0.347192i | \(0.112865\pi\) | |||||||
\(878\) | 9.82590 | − | 1.69147i | 0.331608 | − | 0.0570843i | ||||
\(879\) | 0.778497 | − | 0.269440i | 0.0262580 | − | 0.00908800i | ||||
\(880\) | −73.1253 | + | 22.7079i | −2.46505 | + | 0.765484i | ||||
\(881\) | 14.5597 | + | 22.6553i | 0.490528 | + | 0.763276i | 0.994970 | − | 0.100169i | \(-0.0319383\pi\) |
−0.504443 | + | 0.863445i | \(0.668302\pi\) | |||||||
\(882\) | 0.951304 | − | 3.05506i | 0.0320321 | − | 0.102869i | ||||
\(883\) | 31.5248 | − | 27.3164i | 1.06090 | − | 0.919271i | 0.0639953 | − | 0.997950i | \(-0.479616\pi\) |
0.996900 | + | 0.0786792i | \(0.0250703\pi\) | |||||||
\(884\) | 26.8025 | + | 27.6771i | 0.901465 | + | 0.930882i | ||||
\(885\) | 15.9378 | − | 20.2665i | 0.535743 | − | 0.681252i | ||||
\(886\) | −30.2035 | − | 7.96775i | −1.01471 | − | 0.267682i | ||||
\(887\) | 0.318070 | − | 6.67711i | 0.0106797 | − | 0.224195i | −0.987217 | − | 0.159379i | \(-0.949051\pi\) |
0.997897 | − | 0.0648164i | \(-0.0206462\pi\) | |||||||
\(888\) | −12.5032 | − | 32.3685i | −0.419580 | − | 1.08622i | ||||
\(889\) | 5.28730 | + | 43.5459i | 0.177330 | + | 1.46048i | ||||
\(890\) | −1.42410 | − | 0.955833i | −0.0477358 | − | 0.0320396i | ||||
\(891\) | −42.7994 | + | 10.3830i | −1.43383 | + | 0.347844i | ||||
\(892\) | 15.1056 | + | 6.75756i | 0.505772 | + | 0.226260i | ||||
\(893\) | 0.193173 | − | 0.796269i | 0.00646428 | − | 0.0266461i | ||||
\(894\) | −6.05736 | − | 10.9918i | −0.202588 | − | 0.367620i | ||||
\(895\) | 3.97646 | + | 27.6569i | 0.132918 | + | 0.924467i | ||||
\(896\) | −1.98185 | + | 29.8676i | −0.0662090 | + | 0.997806i | ||||
\(897\) | 28.3837 | + | 13.5560i | 0.947705 | + | 0.452622i | ||||
\(898\) | −25.5857 | + | 34.4558i | −0.853804 | + | 1.14981i | ||||
\(899\) | −1.35699 | − | 0.543259i | −0.0452583 | − | 0.0181187i | ||||
\(900\) | −4.39939 | − | 0.597788i | −0.146646 | − | 0.0199263i | ||||
\(901\) | 18.0380 | − | 18.9177i | 0.600933 | − | 0.630241i | ||||
\(902\) | −36.2805 | − | 11.4429i | −1.20801 | − | 0.381008i | ||||
\(903\) | −2.30372 | + | 1.12429i | −0.0766631 | + | 0.0374140i | ||||
\(904\) | 15.3657 | − | 3.53008i | 0.511054 | − | 0.117409i | ||||
\(905\) | −19.0042 | + | 26.6876i | −0.631721 | + | 0.887127i | ||||
\(906\) | 28.3532 | − | 19.3505i | 0.941971 | − | 0.642878i | ||||
\(907\) | 24.1527 | + | 46.8497i | 0.801977 | + | 1.55562i | 0.831153 | + | 0.556045i | \(0.187682\pi\) |
−0.0291753 | + | 0.999574i | \(0.509288\pi\) | |||||||
\(908\) | −0.196666 | + | 0.502496i | −0.00652660 | + | 0.0166759i | ||||
\(909\) | −5.60206 | − | 0.805454i | −0.185808 | − | 0.0267152i | ||||
\(910\) | 43.3107 | − | 28.1843i | 1.43574 | − | 0.934301i | ||||
\(911\) | −15.3242 | + | 13.2785i | −0.507715 | + | 0.439938i | −0.870669 | − | 0.491870i | \(-0.836314\pi\) |
0.362954 | + | 0.931807i | \(0.381768\pi\) | |||||||
\(912\) | −33.1810 | − | 20.6048i | −1.09873 | − | 0.682294i | ||||
\(913\) | 22.8961 | − | 1.09068i | 0.757750 | − | 0.0360961i | ||||
\(914\) | −6.82499 | − | 2.89140i | −0.225751 | − | 0.0956390i | ||||
\(915\) | 6.62513 | + | 1.27689i | 0.219020 | + | 0.0422127i | ||||
\(916\) | 22.9288 | + | 11.5966i | 0.757587 | + | 0.383164i | ||||
\(917\) | 9.39091 | − | 43.5524i | 0.310115 | − | 1.43823i | ||||
\(918\) | −19.3531 | − | 31.4758i | −0.638748 | − | 1.03886i | ||||
\(919\) | −50.9385 | + | 29.4094i | −1.68031 | + | 0.970126i | −0.718853 | + | 0.695162i | \(0.755332\pi\) |
−0.961455 | + | 0.274963i | \(0.911334\pi\) | |||||||
\(920\) | −38.5538 | − | 26.4069i | −1.27108 | − | 0.870611i | ||||
\(921\) | −1.36603 | + | 2.36603i | −0.0450121 | + | 0.0779632i | ||||
\(922\) | −15.9596 | + | 29.4989i | −0.525602 | + | 0.971495i | ||||
\(923\) | −10.8399 | + | 23.7360i | −0.356799 | + | 0.781281i | ||||
\(924\) | −33.6884 | + | 34.3398i | −1.10827 | + | 1.12970i | ||||
\(925\) | 33.7251 | − | 38.9208i | 1.10887 | − | 1.27971i | ||||
\(926\) | −2.29454 | − | 3.04053i | −0.0754033 | − | 0.0999179i | ||||
\(927\) | 0.277017 | + | 5.81530i | 0.00909842 | + | 0.190999i | ||||
\(928\) | 1.32604 | − | 0.524060i | 0.0435295 | − | 0.0172031i | ||||
\(929\) | 43.3473 | + | 15.0026i | 1.42218 | + | 0.492221i | 0.926503 | − | 0.376287i | \(-0.122799\pi\) |
0.495675 | + | 0.868508i | \(0.334921\pi\) | |||||||
\(930\) | −45.6138 | − | 7.48878i | −1.49574 | − | 0.245567i | ||||
\(931\) | 40.6357 | + | 9.70097i | 1.33178 | + | 0.317936i | ||||
\(932\) | −15.5144 | − | 19.4167i | −0.508190 | − | 0.636014i | ||||
\(933\) | −0.0235478 | + | 0.494329i | −0.000770920 | + | 0.0161836i | ||||
\(934\) | 14.3399 | + | 21.0114i | 0.469217 | + | 0.687515i | ||||
\(935\) | 8.74393 | − | 91.5706i | 0.285957 | − | 2.99468i | ||||
\(936\) | 2.68303 | − | 2.49659i | 0.0876975 | − | 0.0816035i | ||||
\(937\) | 8.21190 | − | 27.9671i | 0.268271 | − | 0.913647i | −0.709629 | − | 0.704575i | \(-0.751138\pi\) |
0.977900 | − | 0.209072i | \(-0.0670442\pi\) | |||||||
\(938\) | −18.5257 | − | 13.0335i | −0.604884 | − | 0.425560i | ||||
\(939\) | −4.08060 | − | 13.8973i | −0.133165 | − | 0.453520i | ||||
\(940\) | 0.748046 | + | 0.578947i | 0.0243986 | + | 0.0188832i | ||||
\(941\) | −12.0131 | + | 30.0072i | −0.391615 | + | 0.978207i | 0.593271 | + | 0.805003i | \(0.297836\pi\) |
−0.984886 | + | 0.173204i | \(0.944588\pi\) | |||||||
\(942\) | 1.45132 | − | 12.5506i | 0.0472865 | − | 0.408920i | ||||
\(943\) | −8.25763 | − | 21.6989i | −0.268906 | − | 0.706614i | ||||
\(944\) | −1.15369 | − | 18.2611i | −0.0375496 | − | 0.594348i | ||||
\(945\) | −46.4006 | + | 17.4032i | −1.50941 | + | 0.566126i | ||||
\(946\) | −4.65269 | − | 0.0927238i | −0.151272 | − | 0.00301471i | ||||
\(947\) | 7.44862 | − | 7.81189i | 0.242048 | − | 0.253852i | −0.591493 | − | 0.806310i | \(-0.701461\pi\) |
0.833541 | + | 0.552458i | \(0.186310\pi\) | |||||||
\(948\) | −4.62631 | + | 10.3415i | −0.150256 | + | 0.335876i | ||||
\(949\) | −46.0628 | + | 43.9208i | −1.49526 | + | 1.42573i | ||||
\(950\) | 3.91144 | − | 57.8366i | 0.126904 | − | 1.87647i | ||||
\(951\) | −12.3592 | − | 27.0629i | −0.400775 | − | 0.877575i | ||||
\(952\) | −32.1815 | − | 16.0466i | −1.04301 | − | 0.520074i | ||||
\(953\) | −17.1537 | − | 11.0240i | −0.555662 | − | 0.357102i | 0.232475 | − | 0.972602i | \(-0.425318\pi\) |
−0.788137 | + | 0.615500i | \(0.788954\pi\) | |||||||
\(954\) | −1.76498 | − | 1.75136i | −0.0571432 | − | 0.0567023i | ||||
\(955\) | 2.36690 | + | 1.86135i | 0.0765912 | + | 0.0602320i | ||||
\(956\) | 13.5044 | + | 3.85187i | 0.436764 | + | 0.124578i | ||||
\(957\) | 2.16543 | + | 0.749462i | 0.0699983 | + | 0.0242267i | ||||
\(958\) | −35.6127 | + | 39.4814i | −1.15059 | + | 1.27559i | ||||
\(959\) | 28.9627 | + | 7.70381i | 0.935253 | + | 0.248769i | ||||
\(960\) | 37.3558 | − | 25.2527i | 1.20565 | − | 0.815028i | ||||
\(961\) | 2.58217 | + | 0.497672i | 0.0832957 | + | 0.0160539i | ||||
\(962\) | 7.21195 | + | 41.8949i | 0.232523 | + | 1.35075i | ||||
\(963\) | −2.26309 | + | 1.61154i | −0.0729270 | + | 0.0519311i | ||||
\(964\) | −22.2729 | − | 1.95281i | −0.717363 | − | 0.0628958i | ||||
\(965\) | 74.6234i | 2.40221i | ||||||||
\(966\) | −29.1917 | − | 3.12561i | −0.939226 | − | 0.100565i | ||||
\(967\) | − | 50.4333i | − | 1.62183i | −0.585167 | − | 0.810913i | \(-0.698971\pi\) | ||
0.585167 | − | 0.810913i | \(-0.301029\pi\) | |||||||
\(968\) | −53.3452 | + | 17.7384i | −1.71458 | + | 0.570135i | ||||
\(969\) | 38.2219 | − | 27.2177i | 1.22786 | − | 0.874358i | ||||
\(970\) | −34.8739 | + | 6.00333i | −1.11973 | + | 0.192755i | ||||
\(971\) | −24.0776 | − | 4.64058i | −0.772687 | − | 0.148923i | −0.212356 | − | 0.977192i | \(-0.568114\pi\) |
−0.560331 | + | 0.828269i | \(0.689326\pi\) | |||||||
\(972\) | −5.76564 | + | 3.38862i | −0.184933 | + | 0.108690i | ||||
\(973\) | −0.908037 | − | 3.36423i | −0.0291103 | − | 0.107852i | ||||
\(974\) | −9.57520 | − | 8.63693i | −0.306809 | − | 0.276745i | ||||
\(975\) | −42.5684 | − | 14.7331i | −1.36328 | − | 0.471836i | ||||
\(976\) | 4.10918 | − | 2.45810i | 0.131532 | − | 0.0786818i | ||||
\(977\) | −16.8847 | − | 13.2783i | −0.540190 | − | 0.424810i | 0.310426 | − | 0.950598i | \(-0.399528\pi\) |
−0.850616 | + | 0.525787i | \(0.823771\pi\) | |||||||
\(978\) | 15.8383 | − | 15.9614i | 0.506452 | − | 0.510391i | ||||
\(979\) | −1.64561 | − | 1.05757i | −0.0525940 | − | 0.0338001i | ||||
\(980\) | −29.3796 | + | 38.2488i | −0.938497 | + | 1.22181i | ||||
\(981\) | −0.718978 | − | 1.57434i | −0.0229552 | − | 0.0502649i | ||||
\(982\) | −51.6832 | − | 3.49529i | −1.64928 | − | 0.111539i | ||||
\(983\) | −25.8853 | + | 24.6816i | −0.825612 | + | 0.787219i | −0.979622 | − | 0.200850i | \(-0.935630\pi\) |
0.154010 | + | 0.988069i | \(0.450781\pi\) | |||||||
\(984\) | 22.4007 | + | 0.272843i | 0.714109 | + | 0.00869791i | ||||
\(985\) | −59.4100 | + | 62.3074i | −1.89296 | + | 1.98528i | ||||
\(986\) | −0.0341304 | + | 1.71259i | −0.00108693 | + | 0.0545401i | ||||
\(987\) | 0.586226 | + | 0.0974772i | 0.0186598 | + | 0.00310273i | ||||
\(988\) | 34.8863 | + | 32.7518i | 1.10988 | + | 1.04197i | ||||
\(989\) | −1.71704 | − | 2.26226i | −0.0545986 | − | 0.0719357i | ||||
\(990\) | −8.69223 | − | 1.00515i | −0.276257 | − | 0.0319457i | ||||
\(991\) | 18.4239 | − | 46.0207i | 0.585254 | − | 1.46189i | −0.279722 | − | 0.960081i | \(-0.590242\pi\) |
0.864976 | − | 0.501813i | \(-0.167334\pi\) | |||||||
\(992\) | −27.6754 | + | 17.6131i | −0.878696 | + | 0.559216i | ||||
\(993\) | 10.9037 | + | 37.1344i | 0.346017 | + | 1.17843i | ||||
\(994\) | 2.17684 | − | 24.2576i | 0.0690450 | − | 0.769405i | ||||
\(995\) | −8.34066 | + | 28.4057i | −0.264417 | + | 0.900521i | ||||
\(996\) | −12.7214 | + | 4.51356i | −0.403092 | + | 0.143018i | ||||
\(997\) | 0.0424726 | − | 0.444793i | 0.00134512 | − | 0.0140867i | −0.994774 | − | 0.102097i | \(-0.967445\pi\) |
0.996120 | + | 0.0880103i | \(0.0280508\pi\) | |||||||
\(998\) | 12.8546 | − | 8.77302i | 0.406905 | − | 0.277705i | ||||
\(999\) | 1.93990 | − | 40.7235i | 0.0613757 | − | 1.28843i |
(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 | 644.2.be.a.3.15 | ✓ | 1840 | |
4.3 | odd | 2 | inner | 644.2.be.a.3.54 | yes | 1840 | |
7.5 | odd | 6 | inner | 644.2.be.a.187.47 | yes | 1840 | |
23.8 | even | 11 | inner | 644.2.be.a.31.70 | yes | 1840 | |
28.19 | even | 6 | inner | 644.2.be.a.187.70 | yes | 1840 | |
92.31 | odd | 22 | inner | 644.2.be.a.31.47 | yes | 1840 | |
161.54 | odd | 66 | inner | 644.2.be.a.215.54 | yes | 1840 | |
644.215 | even | 66 | inner | 644.2.be.a.215.15 | yes | 1840 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
644.2.be.a.3.15 | ✓ | 1840 | 1.1 | even | 1 | trivial | |
644.2.be.a.3.54 | yes | 1840 | 4.3 | odd | 2 | inner | |
644.2.be.a.31.47 | yes | 1840 | 92.31 | odd | 22 | inner | |
644.2.be.a.31.70 | yes | 1840 | 23.8 | even | 11 | inner | |
644.2.be.a.187.47 | yes | 1840 | 7.5 | odd | 6 | inner | |
644.2.be.a.187.70 | yes | 1840 | 28.19 | even | 6 | inner | |
644.2.be.a.215.15 | yes | 1840 | 644.215 | even | 66 | inner | |
644.2.be.a.215.54 | yes | 1840 | 161.54 | odd | 66 | inner |