Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [731,2,Mod(67,731)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(731, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([21, 40]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("731.67");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 731 = 17 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 731.z (of order \(42\), degree \(12\), 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: | \(5.83706438776\) |
Analytic rank: | \(0\) |
Dimension: | \(768\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 67.20 | ||
Character | \(\chi\) | \(=\) | 731.67 |
Dual form | 731.2.z.a.611.20 |
$q$-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 \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).
\(n\) | \(173\) | \(562\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{20}{21}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.755649 | + | 0.947554i | −0.534325 | + | 0.670022i | −0.973582 | − | 0.228340i | \(-0.926670\pi\) |
0.439257 | + | 0.898361i | \(0.355242\pi\) | |||||||
\(3\) | 0.215818 | + | 1.43186i | 0.124602 | + | 0.826683i | 0.960597 | + | 0.277945i | \(0.0896534\pi\) |
−0.835994 | + | 0.548738i | \(0.815108\pi\) | |||||||
\(4\) | 0.118189 | + | 0.517820i | 0.0590945 | + | 0.258910i | ||||
\(5\) | 1.58922 | + | 2.33095i | 0.710719 | + | 1.04243i | 0.996455 | + | 0.0841255i | \(0.0268096\pi\) |
−0.285736 | + | 0.958308i | \(0.592238\pi\) | |||||||
\(6\) | −1.51984 | − | 0.877483i | −0.620474 | − | 0.358231i | ||||
\(7\) | −1.01277 | + | 0.584720i | −0.382789 | + | 0.221003i | −0.679031 | − | 0.734109i | \(-0.737600\pi\) |
0.296242 | + | 0.955113i | \(0.404267\pi\) | |||||||
\(8\) | −2.76386 | − | 1.33100i | −0.977172 | − | 0.470581i | ||||
\(9\) | 0.863080 | − | 0.266225i | 0.287693 | − | 0.0887416i | ||||
\(10\) | −3.40959 | − | 0.255514i | −1.07821 | − | 0.0808005i | ||||
\(11\) | −4.33416 | − | 0.989244i | −1.30680 | − | 0.298268i | −0.488249 | − | 0.872704i | \(-0.662364\pi\) |
−0.818550 | + | 0.574436i | \(0.805221\pi\) | |||||||
\(12\) | −0.715937 | + | 0.280984i | −0.206673 | + | 0.0811132i | ||||
\(13\) | 0.132431 | + | 1.76717i | 0.0367299 | + | 0.490126i | 0.984988 | + | 0.172625i | \(0.0552247\pi\) |
−0.948258 | + | 0.317501i | \(0.897156\pi\) | |||||||
\(14\) | 0.211241 | − | 1.40149i | 0.0564565 | − | 0.374565i | ||||
\(15\) | −2.99461 | + | 2.77859i | −0.773205 | + | 0.717430i | ||||
\(16\) | 2.39263 | − | 1.15223i | 0.598158 | − | 0.288058i | ||||
\(17\) | −2.23223 | − | 3.46658i | −0.541394 | − | 0.840769i | ||||
\(18\) | −0.399923 | + | 1.01899i | −0.0942628 | + | 0.240178i | ||||
\(19\) | −3.67852 | − | 1.13467i | −0.843911 | − | 0.260312i | −0.157494 | − | 0.987520i | \(-0.550341\pi\) |
−0.686417 | + | 0.727208i | \(0.740818\pi\) | |||||||
\(20\) | −1.01919 | + | 1.09842i | −0.227897 | + | 0.245614i | ||||
\(21\) | −1.05581 | − | 1.32394i | −0.230396 | − | 0.288908i | ||||
\(22\) | 4.21247 | − | 3.35933i | 0.898101 | − | 0.716211i | ||||
\(23\) | 1.03335 | − | 1.11368i | 0.215467 | − | 0.232219i | −0.616064 | − | 0.787696i | \(-0.711274\pi\) |
0.831532 | + | 0.555477i | \(0.187464\pi\) | |||||||
\(24\) | 1.30932 | − | 4.24471i | 0.267264 | − | 0.866447i | ||||
\(25\) | −1.08103 | + | 2.75441i | −0.216205 | + | 0.550882i | ||||
\(26\) | −1.77456 | − | 1.20988i | −0.348021 | − | 0.237276i | ||||
\(27\) | 2.45230 | + | 5.09224i | 0.471944 | + | 0.980003i | ||||
\(28\) | −0.422477 | − | 0.455322i | −0.0798407 | − | 0.0860478i | ||||
\(29\) | −1.31114 | + | 8.69885i | −0.243473 | + | 1.61534i | 0.448754 | + | 0.893655i | \(0.351868\pi\) |
−0.692227 | + | 0.721680i | \(0.743370\pi\) | |||||||
\(30\) | −0.369992 | − | 4.93720i | −0.0675509 | − | 0.901405i | ||||
\(31\) | −5.10967 | + | 2.00540i | −0.917723 | + | 0.360180i | −0.776732 | − | 0.629831i | \(-0.783124\pi\) |
−0.140991 | + | 0.990011i | \(0.545029\pi\) | |||||||
\(32\) | 0.649045 | − | 2.84365i | 0.114736 | − | 0.502691i | ||||
\(33\) | 0.481067 | − | 6.41940i | 0.0837431 | − | 1.11747i | ||||
\(34\) | 4.97155 | + | 0.504362i | 0.852614 | + | 0.0864974i | ||||
\(35\) | −2.97246 | − | 1.43146i | −0.502437 | − | 0.241961i | ||||
\(36\) | 0.239863 | + | 0.415455i | 0.0399772 | + | 0.0692425i | ||||
\(37\) | 8.49656 | + | 4.90549i | 1.39683 | + | 0.806457i | 0.994059 | − | 0.108845i | \(-0.0347153\pi\) |
0.402767 | + | 0.915303i | \(0.368049\pi\) | |||||||
\(38\) | 3.85484 | − | 2.62818i | 0.625337 | − | 0.426348i | ||||
\(39\) | −2.50176 | + | 0.571010i | −0.400602 | + | 0.0914348i | ||||
\(40\) | −1.28986 | − | 8.55768i | −0.203945 | − | 1.35309i | ||||
\(41\) | 3.60772 | + | 2.87706i | 0.563431 | + | 0.449322i | 0.863323 | − | 0.504652i | \(-0.168379\pi\) |
−0.299892 | + | 0.953973i | \(0.596951\pi\) | |||||||
\(42\) | 2.05233 | 0.316681 | ||||||||
\(43\) | 3.21446 | + | 5.71553i | 0.490200 | + | 0.871610i | ||||
\(44\) | − | 2.36123i | − | 0.355969i | ||||||
\(45\) | 1.99218 | + | 1.58871i | 0.296976 | + | 0.236831i | ||||
\(46\) | 0.274427 | + | 1.82070i | 0.0404620 | + | 0.268448i | ||||
\(47\) | −2.29884 | − | 10.0719i | −0.335320 | − | 1.46913i | −0.808671 | − | 0.588261i | \(-0.799813\pi\) |
0.473351 | − | 0.880874i | \(-0.343044\pi\) | |||||||
\(48\) | 2.16620 | + | 3.17724i | 0.312665 | + | 0.458595i | ||||
\(49\) | −2.81620 | + | 4.87781i | −0.402315 | + | 0.696830i | ||||
\(50\) | −1.79308 | − | 3.10570i | −0.253579 | − | 0.439212i | ||||
\(51\) | 4.48189 | − | 3.94438i | 0.627590 | − | 0.552323i | ||||
\(52\) | −0.899425 | + | 0.277436i | −0.124728 | + | 0.0384734i | ||||
\(53\) | −0.241147 | + | 3.21789i | −0.0331241 | + | 0.442011i | 0.955843 | + | 0.293877i | \(0.0949457\pi\) |
−0.988967 | + | 0.148134i | \(0.952673\pi\) | |||||||
\(54\) | −6.67825 | − | 1.52427i | −0.908795 | − | 0.207426i | ||||
\(55\) | −4.58204 | − | 11.6748i | −0.617842 | − | 1.57424i | ||||
\(56\) | 3.57741 | − | 0.268090i | 0.478051 | − | 0.0358250i | ||||
\(57\) | 0.830801 | − | 5.51200i | 0.110042 | − | 0.730083i | ||||
\(58\) | −7.25187 | − | 7.81565i | −0.952217 | − | 1.02625i | ||||
\(59\) | 9.16431 | − | 4.41330i | 1.19309 | − | 0.574563i | 0.271393 | − | 0.962469i | \(-0.412516\pi\) |
0.921699 | + | 0.387906i | \(0.126801\pi\) | |||||||
\(60\) | −1.79274 | − | 1.22227i | −0.231442 | − | 0.157794i | ||||
\(61\) | 4.01110 | + | 1.57424i | 0.513569 | + | 0.201561i | 0.607950 | − | 0.793975i | \(-0.291992\pi\) |
−0.0943811 | + | 0.995536i | \(0.530087\pi\) | |||||||
\(62\) | 1.96089 | − | 6.35706i | 0.249034 | − | 0.807347i | ||||
\(63\) | −0.718430 | + | 0.774283i | −0.0905137 | + | 0.0975505i | ||||
\(64\) | 5.51557 | + | 6.91630i | 0.689446 | + | 0.864538i | ||||
\(65\) | −3.90874 | + | 3.11711i | −0.484819 | + | 0.386630i | ||||
\(66\) | 5.71921 | + | 5.30665i | 0.703986 | + | 0.653203i | ||||
\(67\) | −7.09382 | − | 2.18815i | −0.866648 | − | 0.267325i | −0.170617 | − | 0.985337i | \(-0.554576\pi\) |
−0.696031 | + | 0.718012i | \(0.745052\pi\) | |||||||
\(68\) | 1.53124 | − | 1.56560i | 0.185690 | − | 0.189857i | ||||
\(69\) | 1.81765 | + | 1.23925i | 0.218819 | + | 0.149188i | ||||
\(70\) | 3.60252 | − | 1.73488i | 0.430584 | − | 0.207358i | ||||
\(71\) | 4.06250 | + | 4.37833i | 0.482129 | + | 0.519612i | 0.926532 | − | 0.376215i | \(-0.122775\pi\) |
−0.444403 | + | 0.895827i | \(0.646584\pi\) | |||||||
\(72\) | −2.73978 | − | 0.412955i | −0.322886 | − | 0.0486672i | ||||
\(73\) | −13.3104 | + | 0.997474i | −1.55786 | + | 0.116745i | −0.825591 | − | 0.564269i | \(-0.809158\pi\) |
−0.732270 | + | 0.681015i | \(0.761539\pi\) | |||||||
\(74\) | −11.0686 | + | 4.34412i | −1.28670 | + | 0.504993i | ||||
\(75\) | −4.17723 | − | 0.953425i | −0.482345 | − | 0.110092i | ||||
\(76\) | 0.152796 | − | 2.03892i | 0.0175269 | − | 0.233880i | ||||
\(77\) | 4.96792 | − | 1.53240i | 0.566147 | − | 0.174633i | ||||
\(78\) | 1.34939 | − | 2.80204i | 0.152788 | − | 0.317268i | ||||
\(79\) | −0.790201 | + | 0.456223i | −0.0889045 | + | 0.0513290i | −0.543793 | − | 0.839219i | \(-0.683012\pi\) |
0.454889 | + | 0.890548i | \(0.349679\pi\) | |||||||
\(80\) | 6.48821 | + | 3.74597i | 0.725404 | + | 0.418812i | ||||
\(81\) | −4.52332 | + | 3.08395i | −0.502592 | + | 0.342661i | ||||
\(82\) | −5.45234 | + | 1.24446i | −0.602110 | + | 0.137428i | ||||
\(83\) | −15.5826 | + | 2.34869i | −1.71041 | + | 0.257802i | −0.930024 | − | 0.367499i | \(-0.880214\pi\) |
−0.780383 | + | 0.625301i | \(0.784976\pi\) | |||||||
\(84\) | 0.560778 | − | 0.703194i | 0.0611859 | − | 0.0767247i | ||||
\(85\) | 4.53294 | − | 10.7124i | 0.491667 | − | 1.16192i | ||||
\(86\) | −7.84477 | − | 1.27306i | −0.845923 | − | 0.137278i | ||||
\(87\) | −12.7385 | −1.36571 | ||||||||
\(88\) | 10.6623 | + | 8.50292i | 1.13661 | + | 0.906414i | ||||
\(89\) | −1.67793 | + | 0.252907i | −0.177860 | + | 0.0268081i | −0.237368 | − | 0.971420i | \(-0.576285\pi\) |
0.0595081 | + | 0.998228i | \(0.481047\pi\) | |||||||
\(90\) | −3.01078 | + | 0.687190i | −0.317364 | + | 0.0724362i | ||||
\(91\) | −1.16742 | − | 1.71230i | −0.122379 | − | 0.179497i | ||||
\(92\) | 0.698816 | + | 0.403462i | 0.0728566 | + | 0.0420638i | ||||
\(93\) | −3.97420 | − | 6.88351i | −0.412105 | − | 0.713787i | ||||
\(94\) | 11.2808 | + | 5.43253i | 1.16352 | + | 0.560323i | ||||
\(95\) | −3.20110 | − | 10.3777i | −0.328426 | − | 1.06473i | ||||
\(96\) | 4.21178 | + | 0.315629i | 0.429863 | + | 0.0322138i | ||||
\(97\) | 7.31414 | + | 1.66940i | 0.742638 | + | 0.169502i | 0.577068 | − | 0.816696i | \(-0.304197\pi\) |
0.165570 | + | 0.986198i | \(0.447054\pi\) | |||||||
\(98\) | −2.49392 | − | 6.35442i | −0.251924 | − | 0.641893i | ||||
\(99\) | −4.00409 | + | 0.300065i | −0.402426 | + | 0.0301577i | ||||
\(100\) | −1.55405 | − | 0.234236i | −0.155405 | − | 0.0234236i | ||||
\(101\) | 12.0980 | − | 11.2253i | 1.20380 | − | 1.11696i | 0.213655 | − | 0.976909i | \(-0.431463\pi\) |
0.990144 | − | 0.140053i | \(-0.0447272\pi\) | |||||||
\(102\) | 0.350774 | + | 7.22740i | 0.0347318 | + | 0.715619i | ||||
\(103\) | 12.6216 | + | 8.60524i | 1.24364 | + | 0.847899i | 0.992759 | − | 0.120119i | \(-0.0383276\pi\) |
0.250880 | + | 0.968018i | \(0.419280\pi\) | |||||||
\(104\) | 1.98610 | − | 5.06049i | 0.194753 | − | 0.496222i | ||||
\(105\) | 1.40814 | − | 4.56507i | 0.137420 | − | 0.445505i | ||||
\(106\) | −2.86690 | − | 2.66009i | −0.278458 | − | 0.258371i | ||||
\(107\) | −3.04367 | + | 2.42724i | −0.294243 | + | 0.234651i | −0.759473 | − | 0.650539i | \(-0.774543\pi\) |
0.465230 | + | 0.885190i | \(0.345972\pi\) | |||||||
\(108\) | −2.34703 | + | 1.87169i | −0.225843 | + | 0.180104i | ||||
\(109\) | −5.09572 | + | 5.49188i | −0.488082 | + | 0.526027i | −0.928284 | − | 0.371871i | \(-0.878716\pi\) |
0.440202 | + | 0.897899i | \(0.354907\pi\) | |||||||
\(110\) | 14.5250 | + | 4.48036i | 1.38490 | + | 0.427185i | ||||
\(111\) | −5.19025 | + | 13.2246i | −0.492637 | + | 1.25522i | ||||
\(112\) | −1.74944 | + | 2.56596i | −0.165307 | + | 0.242460i | ||||
\(113\) | −3.44368 | − | 7.15087i | −0.323954 | − | 0.672697i | 0.673855 | − | 0.738864i | \(-0.264637\pi\) |
−0.997809 | + | 0.0661666i | \(0.978923\pi\) | |||||||
\(114\) | 4.59513 | + | 4.95237i | 0.430373 | + | 0.463832i | ||||
\(115\) | 4.23815 | + | 0.638798i | 0.395209 | + | 0.0595682i | ||||
\(116\) | −4.65940 | + | 0.349174i | −0.432614 | + | 0.0324199i | ||||
\(117\) | 0.584764 | + | 1.48996i | 0.0540615 | + | 0.137746i | ||||
\(118\) | −2.74316 | + | 12.0186i | −0.252529 | + | 1.10640i | ||||
\(119\) | 4.28770 | + | 2.20560i | 0.393053 | + | 0.202187i | ||||
\(120\) | 11.9750 | − | 3.69380i | 1.09316 | − | 0.337196i | ||||
\(121\) | 7.89569 | + | 3.80236i | 0.717790 | + | 0.345669i | ||||
\(122\) | −4.52267 | + | 2.61116i | −0.409463 | + | 0.236404i | ||||
\(123\) | −3.34093 | + | 5.78666i | −0.301242 | + | 0.521766i | ||||
\(124\) | −1.64234 | − | 2.40887i | −0.147486 | − | 0.216323i | ||||
\(125\) | 5.61376 | − | 1.28130i | 0.502110 | − | 0.114603i | ||||
\(126\) | −0.190794 | − | 1.26584i | −0.0169973 | − | 0.112770i | ||||
\(127\) | 2.80419 | − | 3.51634i | 0.248831 | − | 0.312024i | −0.641692 | − | 0.766963i | \(-0.721767\pi\) |
0.890523 | + | 0.454938i | \(0.150339\pi\) | |||||||
\(128\) | −4.88784 | −0.432028 | ||||||||
\(129\) | −7.49009 | + | 5.83616i | −0.659465 | + | 0.513845i | ||||
\(130\) | − | 6.05918i | − | 0.531425i | ||||||
\(131\) | 4.86196 | + | 3.87728i | 0.424792 | + | 0.338760i | 0.812437 | − | 0.583048i | \(-0.198140\pi\) |
−0.387646 | + | 0.921808i | \(0.626712\pi\) | |||||||
\(132\) | 3.38095 | − | 0.509596i | 0.294274 | − | 0.0443546i | ||||
\(133\) | 4.38895 | − | 1.00175i | 0.380570 | − | 0.0868626i | ||||
\(134\) | 7.43383 | − | 5.06830i | 0.642185 | − | 0.437834i | ||||
\(135\) | −7.97255 | + | 13.8089i | −0.686168 | + | 1.18848i | ||||
\(136\) | 1.55553 | + | 12.5522i | 0.133385 | + | 1.07635i | ||||
\(137\) | −5.56483 | − | 2.67988i | −0.475436 | − | 0.228958i | 0.180791 | − | 0.983522i | \(-0.442134\pi\) |
−0.656227 | + | 0.754564i | \(0.727849\pi\) | |||||||
\(138\) | −2.54776 | + | 0.785880i | −0.216880 | + | 0.0668986i | ||||
\(139\) | 11.5214 | + | 0.863406i | 0.977229 | + | 0.0732332i | 0.553759 | − | 0.832677i | \(-0.313193\pi\) |
0.423470 | + | 0.905910i | \(0.360812\pi\) | |||||||
\(140\) | 0.389927 | − | 1.70838i | 0.0329548 | − | 0.144384i | ||||
\(141\) | 13.9254 | − | 5.46530i | 1.17273 | − | 0.460262i | ||||
\(142\) | −7.21852 | + | 0.540953i | −0.605765 | + | 0.0453958i | ||||
\(143\) | 1.17419 | − | 7.79022i | 0.0981905 | − | 0.651451i | ||||
\(144\) | 1.75828 | − | 1.63145i | 0.146523 | − | 0.135954i | ||||
\(145\) | −22.3603 | + | 10.7682i | −1.85692 | + | 0.894246i | ||||
\(146\) | 9.11280 | − | 13.3660i | 0.754181 | − | 1.10618i | ||||
\(147\) | −7.59212 | − | 2.97969i | −0.626187 | − | 0.245760i | ||||
\(148\) | −1.53596 | + | 4.97946i | −0.126255 | + | 0.409309i | ||||
\(149\) | 13.4222 | + | 12.4540i | 1.09959 | + | 1.02027i | 0.999681 | + | 0.0252762i | \(0.00804651\pi\) |
0.0999117 | + | 0.994996i | \(0.468144\pi\) | |||||||
\(150\) | 4.05994 | − | 3.23769i | 0.331493 | − | 0.264357i | ||||
\(151\) | 6.56960 | + | 8.23802i | 0.534627 | + | 0.670401i | 0.973643 | − | 0.228079i | \(-0.0732443\pi\) |
−0.439016 | + | 0.898479i | \(0.644673\pi\) | |||||||
\(152\) | 8.65667 | + | 8.03221i | 0.702148 | + | 0.651498i | ||||
\(153\) | −2.84948 | − | 2.39766i | −0.230367 | − | 0.193839i | ||||
\(154\) | −2.30197 | + | 5.86533i | −0.185498 | + | 0.472641i | ||||
\(155\) | −12.7949 | − | 8.72338i | −1.02771 | − | 0.700679i | ||||
\(156\) | −0.591361 | − | 1.22797i | −0.0473468 | − | 0.0983166i | ||||
\(157\) | −14.4083 | + | 13.3689i | −1.14991 | + | 1.06696i | −0.153012 | + | 0.988224i | \(0.548897\pi\) |
−0.996896 | + | 0.0787338i | \(0.974912\pi\) | |||||||
\(158\) | 0.164819 | − | 1.09350i | 0.0131123 | − | 0.0869943i | ||||
\(159\) | −4.65960 | + | 0.349189i | −0.369530 | + | 0.0276925i | ||||
\(160\) | 7.65989 | − | 3.00629i | 0.605568 | − | 0.237668i | ||||
\(161\) | −0.395344 | + | 1.73212i | −0.0311575 | + | 0.136510i | ||||
\(162\) | 0.495836 | − | 6.61648i | 0.0389566 | − | 0.519840i | ||||
\(163\) | 1.03362 | + | 3.35090i | 0.0809590 | + | 0.262463i | 0.986998 | − | 0.160731i | \(-0.0513852\pi\) |
−0.906039 | + | 0.423194i | \(0.860909\pi\) | |||||||
\(164\) | −1.06341 | + | 2.20819i | −0.0830381 | + | 0.172430i | ||||
\(165\) | 15.7278 | − | 9.08047i | 1.22441 | − | 0.706914i | ||||
\(166\) | 9.54943 | − | 16.5401i | 0.741179 | − | 1.28376i | ||||
\(167\) | −6.85989 | − | 10.0616i | −0.530834 | − | 0.778590i | 0.463363 | − | 0.886169i | \(-0.346643\pi\) |
−0.994197 | + | 0.107578i | \(0.965690\pi\) | |||||||
\(168\) | 1.15593 | + | 5.06448i | 0.0891822 | + | 0.390733i | ||||
\(169\) | 9.74944 | − | 1.46949i | 0.749957 | − | 0.113038i | ||||
\(170\) | 6.72522 | + | 12.3900i | 0.515801 | + | 0.950269i | ||||
\(171\) | −3.47694 | −0.265888 | ||||||||
\(172\) | −2.57970 | + | 2.34002i | −0.196700 | + | 0.178425i | ||||
\(173\) | 12.8514i | 0.977073i | 0.872543 | + | 0.488537i | \(0.162469\pi\) | ||||
−0.872543 | + | 0.488537i | \(0.837531\pi\) | |||||||
\(174\) | 9.62582 | − | 12.0704i | 0.729731 | − | 0.915054i | ||||
\(175\) | −0.515734 | − | 3.42167i | −0.0389858 | − | 0.258654i | ||||
\(176\) | −11.5099 | + | 2.62706i | −0.867591 | + | 0.198022i | ||||
\(177\) | 8.29704 | + | 12.1695i | 0.623644 | + | 0.914717i | ||||
\(178\) | 1.02828 | − | 1.78104i | 0.0770731 | − | 0.133495i | ||||
\(179\) | 2.66952 | + | 4.62374i | 0.199529 | + | 0.345595i | 0.948376 | − | 0.317149i | \(-0.102725\pi\) |
−0.748847 | + | 0.662743i | \(0.769392\pi\) | |||||||
\(180\) | −0.587211 | + | 1.21936i | −0.0437682 | + | 0.0908855i | ||||
\(181\) | 3.54442 | + | 11.4907i | 0.263455 | + | 0.854099i | 0.986565 | + | 0.163367i | \(0.0522355\pi\) |
−0.723111 | + | 0.690732i | \(0.757288\pi\) | |||||||
\(182\) | 2.50466 | + | 0.187698i | 0.185657 | + | 0.0139131i | ||||
\(183\) | −1.38842 | + | 6.08308i | −0.102635 | + | 0.449674i | ||||
\(184\) | −4.33834 | + | 1.70267i | −0.319826 | + | 0.125523i | ||||
\(185\) | 2.06841 | + | 27.6010i | 0.152072 | + | 2.02926i | ||||
\(186\) | 9.52560 | + | 1.43575i | 0.698451 | + | 0.105275i | ||||
\(187\) | 6.24553 | + | 17.2329i | 0.456719 | + | 1.26020i | ||||
\(188\) | 4.94372 | − | 2.38077i | 0.360558 | − | 0.173636i | ||||
\(189\) | −5.46114 | − | 3.72334i | −0.397239 | − | 0.270833i | ||||
\(190\) | 12.2523 | + | 4.80869i | 0.888878 | + | 0.348859i | ||||
\(191\) | 5.20990 | + | 1.60704i | 0.376975 | + | 0.116282i | 0.477452 | − | 0.878658i | \(-0.341560\pi\) |
−0.100476 | + | 0.994939i | \(0.532037\pi\) | |||||||
\(192\) | −8.71280 | + | 9.39017i | −0.628793 | + | 0.677677i | ||||
\(193\) | 10.3226 | − | 8.23198i | 0.743035 | − | 0.592551i | −0.177081 | − | 0.984196i | \(-0.556665\pi\) |
0.920116 | + | 0.391645i | \(0.128094\pi\) | |||||||
\(194\) | −7.10877 | + | 5.66906i | −0.510380 | + | 0.407014i | ||||
\(195\) | −5.30684 | − | 4.92403i | −0.380031 | − | 0.352617i | ||||
\(196\) | −2.85867 | − | 0.881783i | −0.204191 | − | 0.0629845i | ||||
\(197\) | −22.7377 | − | 8.92389i | −1.61999 | − | 0.635801i | −0.629960 | − | 0.776628i | \(-0.716929\pi\) |
−0.990034 | + | 0.140827i | \(0.955024\pi\) | |||||||
\(198\) | 2.74136 | − | 4.02083i | 0.194820 | − | 0.285748i | ||||
\(199\) | 0.485003 | + | 1.00712i | 0.0343809 | + | 0.0713927i | 0.917452 | − | 0.397847i | \(-0.130242\pi\) |
−0.883071 | + | 0.469239i | \(0.844528\pi\) | |||||||
\(200\) | 6.65394 | − | 6.17396i | 0.470505 | − | 0.436565i | ||||
\(201\) | 1.60215 | − | 10.6296i | 0.113007 | − | 0.749753i | ||||
\(202\) | 1.49474 | + | 19.9459i | 0.105170 | + | 1.40339i | ||||
\(203\) | −3.75852 | − | 9.57654i | −0.263796 | − | 0.672141i | ||||
\(204\) | 2.57219 | + | 1.85463i | 0.180089 | + | 0.129850i | ||||
\(205\) | −0.972844 | + | 12.9817i | −0.0679464 | + | 0.906682i | ||||
\(206\) | −17.6914 | + | 5.45707i | −1.23262 | + | 0.380212i | ||||
\(207\) | 0.595370 | − | 1.23630i | 0.0413811 | − | 0.0859287i | ||||
\(208\) | 2.35305 | + | 4.07561i | 0.163155 | + | 0.282592i | ||||
\(209\) | 14.8208 | + | 8.55682i | 1.02518 | + | 0.591887i | ||||
\(210\) | 3.26159 | + | 4.78388i | 0.225071 | + | 0.330119i | ||||
\(211\) | −9.34131 | + | 2.13209i | −0.643082 | + | 0.146779i | −0.531611 | − | 0.846988i | \(-0.678413\pi\) |
−0.111471 | + | 0.993768i | \(0.535556\pi\) | |||||||
\(212\) | −1.69479 | + | 0.255448i | −0.116398 | + | 0.0175442i | ||||
\(213\) | −5.39238 | + | 6.76184i | −0.369480 | + | 0.463313i | ||||
\(214\) | − | 4.71818i | − | 0.322528i | ||||||
\(215\) | −8.21416 | + | 16.5760i | −0.560201 | + | 1.13047i | ||||
\(216\) | − | 17.3383i | − | 1.17972i | ||||||
\(217\) | 4.00230 | − | 5.01872i | 0.271694 | − | 0.340693i | ||||
\(218\) | −1.35328 | − | 8.97841i | −0.0916555 | − | 0.608095i | ||||
\(219\) | −4.30085 | − | 18.8433i | −0.290625 | − | 1.27331i | ||||
\(220\) | 5.50392 | − | 3.75251i | 0.371074 | − | 0.252994i | ||||
\(221\) | 5.83043 | − | 4.40381i | 0.392197 | − | 0.296233i | ||||
\(222\) | −8.60896 | − | 14.9112i | −0.577796 | − | 1.00077i | ||||
\(223\) | 14.1622 | + | 6.82017i | 0.948373 | + | 0.456712i | 0.843115 | − | 0.537733i | \(-0.180719\pi\) |
0.105258 | + | 0.994445i | \(0.466433\pi\) | |||||||
\(224\) | 1.00541 | + | 3.25946i | 0.0671768 | + | 0.217782i | ||||
\(225\) | −0.199720 | + | 2.66507i | −0.0133146 | + | 0.177672i | ||||
\(226\) | 9.37805 | + | 2.14048i | 0.623818 | + | 0.142382i | ||||
\(227\) | 4.02775 | − | 1.58077i | 0.267331 | − | 0.104920i | −0.227890 | − | 0.973687i | \(-0.573183\pi\) |
0.495220 | + | 0.868767i | \(0.335087\pi\) | |||||||
\(228\) | 2.95242 | − | 0.221253i | 0.195528 | − | 0.0146528i | ||||
\(229\) | 14.4951 | + | 2.18478i | 0.957861 | + | 0.144374i | 0.609325 | − | 0.792921i | \(-0.291441\pi\) |
0.348537 | + | 0.937295i | \(0.386679\pi\) | |||||||
\(230\) | −3.80785 | + | 3.53317i | −0.251082 | + | 0.232970i | ||||
\(231\) | 3.26634 | + | 6.78263i | 0.214910 | + | 0.446264i | ||||
\(232\) | 15.2020 | − | 22.2973i | 0.998061 | − | 1.46389i | ||||
\(233\) | −24.3210 | − | 9.54528i | −1.59332 | − | 0.625332i | −0.607679 | − | 0.794183i | \(-0.707899\pi\) |
−0.985642 | + | 0.168851i | \(0.945994\pi\) | |||||||
\(234\) | −1.85369 | − | 0.571788i | −0.121179 | − | 0.0373789i | ||||
\(235\) | 19.8237 | − | 21.3649i | 1.29316 | − | 1.39369i | ||||
\(236\) | 3.36841 | + | 4.22386i | 0.219265 | + | 0.274950i | ||||
\(237\) | −0.823785 | − | 1.03299i | −0.0535106 | − | 0.0671002i | ||||
\(238\) | −5.32992 | + | 2.39616i | −0.345488 | + | 0.155320i | ||||
\(239\) | −20.5491 | − | 6.33857i | −1.32921 | − | 0.410008i | −0.452819 | − | 0.891603i | \(-0.649581\pi\) |
−0.876394 | + | 0.481595i | \(0.840058\pi\) | |||||||
\(240\) | −3.96342 | + | 10.0986i | −0.255838 | + | 0.651864i | ||||
\(241\) | −3.92109 | + | 5.75119i | −0.252580 | + | 0.370467i | −0.931497 | − | 0.363748i | \(-0.881497\pi\) |
0.678918 | + | 0.734214i | \(0.262449\pi\) | |||||||
\(242\) | −9.56931 | + | 4.60834i | −0.615139 | + | 0.296235i | ||||
\(243\) | 6.14094 | + | 6.61836i | 0.393942 | + | 0.424568i | ||||
\(244\) | −0.341105 | + | 2.26309i | −0.0218370 | + | 0.144879i | ||||
\(245\) | −15.8455 | + | 1.18746i | −1.01233 | + | 0.0758638i | ||||
\(246\) | −2.95860 | − | 7.53840i | −0.188634 | − | 0.480631i | ||||
\(247\) | 1.51801 | − | 6.65086i | 0.0965890 | − | 0.423184i | ||||
\(248\) | 16.7916 | + | 1.25836i | 1.06627 | + | 0.0799057i | ||||
\(249\) | −6.72598 | − | 21.8051i | −0.426242 | − | 1.38184i | ||||
\(250\) | −3.02793 | + | 6.28755i | −0.191503 | + | 0.397660i | ||||
\(251\) | −6.29486 | − | 10.9030i | −0.397328 | − | 0.688192i | 0.596068 | − | 0.802934i | \(-0.296729\pi\) |
−0.993395 | + | 0.114742i | \(0.963396\pi\) | |||||||
\(252\) | −0.485850 | − | 0.280505i | −0.0306057 | − | 0.0176702i | ||||
\(253\) | −5.58039 | + | 3.80464i | −0.350836 | + | 0.239196i | ||||
\(254\) | 1.21294 | + | 5.31423i | 0.0761066 | + | 0.333445i | ||||
\(255\) | 16.3169 | + | 4.17861i | 1.02180 | + | 0.261675i | ||||
\(256\) | −7.33764 | + | 9.20112i | −0.458603 | + | 0.575070i | ||||
\(257\) | 2.06506 | 0.128815 | 0.0644073 | − | 0.997924i | \(-0.479484\pi\) | ||||
0.0644073 | + | 0.997924i | \(0.479484\pi\) | |||||||
\(258\) | 0.129805 | − | 11.5073i | 0.00808133 | − | 0.716416i | ||||
\(259\) | −11.4734 | −0.712920 | ||||||||
\(260\) | −2.07607 | − | 1.65561i | −0.128753 | − | 0.102677i | ||||
\(261\) | 1.18423 | + | 7.85686i | 0.0733021 | + | 0.486327i | ||||
\(262\) | −7.34787 | + | 1.67710i | −0.453953 | + | 0.103612i | ||||
\(263\) | 15.6440 | − | 10.6659i | 0.964651 | − | 0.657688i | 0.0249512 | − | 0.999689i | \(-0.492057\pi\) |
0.939700 | + | 0.342001i | \(0.111105\pi\) | |||||||
\(264\) | −9.87385 | + | 17.1020i | −0.607694 | + | 1.05256i | ||||
\(265\) | −7.88398 | + | 4.55182i | −0.484309 | + | 0.279616i | ||||
\(266\) | −2.36729 | + | 4.91573i | −0.145148 | + | 0.301403i | ||||
\(267\) | −0.724255 | − | 2.34798i | −0.0443237 | − | 0.143694i | ||||
\(268\) | 0.294658 | − | 3.93193i | 0.0179991 | − | 0.240181i | ||||
\(269\) | −26.2714 | − | 5.99628i | −1.60180 | − | 0.365600i | −0.674013 | − | 0.738719i | \(-0.735431\pi\) |
−0.927783 | + | 0.373120i | \(0.878288\pi\) | |||||||
\(270\) | −7.06019 | − | 17.9891i | −0.429670 | − | 1.09478i | ||||
\(271\) | 1.94150 | + | 25.9075i | 0.117938 | + | 1.57377i | 0.671529 | + | 0.740979i | \(0.265638\pi\) |
−0.553591 | + | 0.832789i | \(0.686743\pi\) | |||||||
\(272\) | −9.33520 | − | 5.72221i | −0.566029 | − | 0.346960i | ||||
\(273\) | 2.19981 | − | 2.04113i | 0.133139 | − | 0.123535i | ||||
\(274\) | 6.74439 | − | 3.24793i | 0.407444 | − | 0.196215i | ||||
\(275\) | 7.41013 | − | 10.8687i | 0.446848 | − | 0.655405i | ||||
\(276\) | −0.426883 | + | 1.08768i | −0.0256953 | + | 0.0654706i | ||||
\(277\) | 8.97825 | − | 29.1068i | 0.539451 | − | 1.74886i | −0.115625 | − | 0.993293i | \(-0.536887\pi\) |
0.655076 | − | 0.755563i | \(-0.272637\pi\) | |||||||
\(278\) | −9.52423 | + | 10.2647i | −0.571225 | + | 0.615634i | ||||
\(279\) | −3.87616 | + | 3.09114i | −0.232060 | + | 0.185062i | ||||
\(280\) | 6.31018 | + | 7.91271i | 0.377105 | + | 0.472875i | ||||
\(281\) | 18.3159 | + | 16.9947i | 1.09263 | + | 1.01382i | 0.999836 | + | 0.0181311i | \(0.00577162\pi\) |
0.0927982 | + | 0.995685i | \(0.470419\pi\) | |||||||
\(282\) | −5.34402 | + | 17.3249i | −0.318232 | + | 1.03168i | ||||
\(283\) | −7.53303 | − | 2.95650i | −0.447792 | − | 0.175745i | 0.130720 | − | 0.991419i | \(-0.458271\pi\) |
−0.578512 | + | 0.815674i | \(0.696366\pi\) | |||||||
\(284\) | −1.78704 | + | 2.62111i | −0.106041 | + | 0.155534i | ||||
\(285\) | 14.1685 | − | 6.82321i | 0.839272 | − | 0.404172i | ||||
\(286\) | 6.49438 | + | 6.99928i | 0.384021 | + | 0.413876i | ||||
\(287\) | −5.33605 | − | 0.804280i | −0.314977 | − | 0.0474752i | ||||
\(288\) | −0.196873 | − | 2.62709i | −0.0116009 | − | 0.154803i | ||||
\(289\) | −7.03434 | + | 15.4764i | −0.413784 | + | 0.910375i | ||||
\(290\) | 6.69313 | − | 29.3245i | 0.393034 | − | 1.72200i | ||||
\(291\) | −0.811828 | + | 10.8331i | −0.0475902 | + | 0.635047i | ||||
\(292\) | −2.08965 | − | 6.77448i | −0.122287 | − | 0.396446i | ||||
\(293\) | −5.04960 | − | 2.43176i | −0.295001 | − | 0.142065i | 0.280529 | − | 0.959845i | \(-0.409490\pi\) |
−0.575530 | + | 0.817781i | \(0.695204\pi\) | |||||||
\(294\) | 8.56039 | − | 4.94234i | 0.499252 | − | 0.288243i | ||||
\(295\) | 24.8513 | + | 14.3479i | 1.44690 | + | 0.835366i | ||||
\(296\) | −16.9541 | − | 24.8670i | −0.985435 | − | 1.44537i | ||||
\(297\) | −5.59117 | − | 24.4965i | −0.324433 | − | 1.42143i | ||||
\(298\) | −21.9433 | + | 3.30743i | −1.27114 | + | 0.191594i | ||||
\(299\) | 2.10492 | + | 1.67861i | 0.121730 | + | 0.0970768i | ||||
\(300\) | − | 2.27574i | − | 0.131390i | ||||||
\(301\) | −6.59747 | − | 3.90893i | −0.380272 | − | 0.225307i | ||||
\(302\) | −12.7703 | −0.734847 | ||||||||
\(303\) | 18.6840 | + | 14.9000i | 1.07337 | + | 0.855984i | ||||
\(304\) | −10.1088 | + | 1.52365i | −0.579777 | + | 0.0873873i | ||||
\(305\) | 2.70503 | + | 11.8515i | 0.154890 | + | 0.678615i | ||||
\(306\) | 4.42512 | − | 0.888245i | 0.252967 | − | 0.0507776i | ||||
\(307\) | 11.5827 | − | 20.0619i | 0.661062 | − | 1.14499i | −0.319275 | − | 0.947662i | \(-0.603439\pi\) |
0.980337 | − | 0.197331i | \(-0.0632274\pi\) | |||||||
\(308\) | 1.38066 | + | 2.39137i | 0.0786704 | + | 0.136261i | ||||
\(309\) | −9.59751 | + | 19.9294i | −0.545983 | + | 1.13375i | ||||
\(310\) | 17.9343 | − | 5.53200i | 1.01860 | − | 0.314196i | ||||
\(311\) | 12.0086 | + | 0.899921i | 0.680946 | + | 0.0510298i | 0.410712 | − | 0.911765i | \(-0.365280\pi\) |
0.270234 | + | 0.962795i | \(0.412899\pi\) | |||||||
\(312\) | 7.67453 | + | 1.75166i | 0.434485 | + | 0.0991683i | ||||
\(313\) | 11.7846 | − | 4.62512i | 0.666105 | − | 0.261427i | −0.00810437 | − | 0.999967i | \(-0.502580\pi\) |
0.674209 | + | 0.738540i | \(0.264484\pi\) | |||||||
\(314\) | −1.78018 | − | 23.7549i | −0.100461 | − | 1.34056i | ||||
\(315\) | −2.94656 | − | 0.444122i | −0.166020 | − | 0.0250235i | ||||
\(316\) | −0.329634 | − | 0.355261i | −0.0185434 | − | 0.0199850i | ||||
\(317\) | 3.32339 | + | 6.90110i | 0.186660 | + | 0.387604i | 0.973208 | − | 0.229925i | \(-0.0738480\pi\) |
−0.786548 | + | 0.617529i | \(0.788134\pi\) | |||||||
\(318\) | 3.19015 | − | 4.67909i | 0.178895 | − | 0.262390i | ||||
\(319\) | 14.2880 | − | 36.4052i | 0.799973 | − | 2.03830i | ||||
\(320\) | −7.35615 | + | 23.8480i | −0.411221 | + | 1.33315i | ||||
\(321\) | −4.13235 | − | 3.83426i | −0.230645 | − | 0.214007i | ||||
\(322\) | −1.34253 | − | 1.68348i | −0.0748164 | − | 0.0938167i | ||||
\(323\) | 4.27786 | + | 15.2847i | 0.238026 | + | 0.850466i | ||||
\(324\) | −2.13154 | − | 1.97778i | −0.118419 | − | 0.109877i | ||||
\(325\) | −5.01069 | − | 1.54559i | −0.277943 | − | 0.0857340i | ||||
\(326\) | −3.95621 | − | 1.55270i | −0.219114 | − | 0.0859959i | ||||
\(327\) | −8.96334 | − | 6.11110i | −0.495674 | − | 0.337945i | ||||
\(328\) | −6.14185 | − | 12.7537i | −0.339127 | − | 0.704205i | ||||
\(329\) | 8.21742 | + | 8.85627i | 0.453041 | + | 0.488262i | ||||
\(330\) | −3.28049 | + | 21.7646i | −0.180585 | + | 1.19810i | ||||
\(331\) | −1.40072 | − | 18.6913i | −0.0769906 | − | 1.02737i | −0.893214 | − | 0.449632i | \(-0.851555\pi\) |
0.816223 | − | 0.577737i | \(-0.196064\pi\) | |||||||
\(332\) | −3.05788 | − | 7.79136i | −0.167823 | − | 0.427607i | ||||
\(333\) | 8.63917 | + | 1.97183i | 0.473424 | + | 0.108056i | ||||
\(334\) | 14.7176 | + | 1.10293i | 0.805310 | + | 0.0603496i | ||||
\(335\) | −6.17313 | − | 20.0128i | −0.337274 | − | 1.09342i | ||||
\(336\) | −4.05165 | − | 1.95117i | −0.221036 | − | 0.106445i | ||||
\(337\) | −3.71015 | + | 2.14206i | −0.202105 | + | 0.116685i | −0.597637 | − | 0.801767i | \(-0.703894\pi\) |
0.395532 | + | 0.918452i | \(0.370560\pi\) | |||||||
\(338\) | −5.97473 | + | 10.3485i | −0.324982 | + | 0.562886i | ||||
\(339\) | 9.49582 | − | 6.47414i | 0.515742 | − | 0.351627i | ||||
\(340\) | 6.08281 | + | 1.08116i | 0.329887 | + | 0.0586343i | ||||
\(341\) | 24.1299 | − | 3.63700i | 1.30671 | − | 0.196955i | ||||
\(342\) | 2.62734 | − | 3.29459i | 0.142071 | − | 0.178151i | ||||
\(343\) | − | 14.7728i | − | 0.797659i | ||||||
\(344\) | −1.27691 | − | 20.0754i | −0.0688462 | − | 1.08239i | ||||
\(345\) | 6.20629i | 0.334135i | ||||||||
\(346\) | −12.1774 | − | 9.71114i | −0.654660 | − | 0.522074i | ||||
\(347\) | 2.56636 | + | 17.0267i | 0.137769 | + | 0.914039i | 0.945765 | + | 0.324851i | \(0.105314\pi\) |
−0.807996 | + | 0.589188i | \(0.799448\pi\) | |||||||
\(348\) | −1.50555 | − | 6.59623i | −0.0807058 | − | 0.353595i | ||||
\(349\) | 25.3052 | − | 17.2528i | 1.35456 | − | 0.923523i | 0.354625 | − | 0.935009i | \(-0.384609\pi\) |
0.999934 | + | 0.0114861i | \(0.00365623\pi\) | |||||||
\(350\) | 3.63193 | + | 2.09690i | 0.194135 | + | 0.112084i | ||||
\(351\) | −8.67412 | + | 5.00800i | −0.462990 | + | 0.267308i | ||||
\(352\) | −5.62613 | + | 11.6828i | −0.299874 | + | 0.622694i | ||||
\(353\) | 8.54771 | − | 2.63662i | 0.454949 | − | 0.140333i | −0.0588073 | − | 0.998269i | \(-0.518730\pi\) |
0.513756 | + | 0.857936i | \(0.328254\pi\) | |||||||
\(354\) | −17.8009 | − | 1.33399i | −0.946108 | − | 0.0709010i | ||||
\(355\) | −3.74949 | + | 16.4276i | −0.199002 | + | 0.871886i | ||||
\(356\) | −0.329273 | − | 0.838975i | −0.0174515 | − | 0.0444656i | ||||
\(357\) | −2.23275 | + | 6.61538i | −0.118169 | + | 0.350123i | ||||
\(358\) | −6.39846 | − | 0.964413i | −0.338169 | − | 0.0509708i | ||||
\(359\) | −12.2180 | + | 11.3367i | −0.644843 | + | 0.598327i | −0.933270 | − | 0.359175i | \(-0.883058\pi\) |
0.288427 | + | 0.957502i | \(0.406868\pi\) | |||||||
\(360\) | −3.39152 | − | 7.04257i | −0.178749 | − | 0.371176i | ||||
\(361\) | −3.45449 | − | 2.35523i | −0.181815 | − | 0.123960i | ||||
\(362\) | −13.5664 | − | 5.32443i | −0.713035 | − | 0.279846i | ||||
\(363\) | −3.74041 | + | 12.1261i | −0.196321 | + | 0.636456i | ||||
\(364\) | 0.748684 | − | 0.806890i | 0.0392417 | − | 0.0422925i | ||||
\(365\) | −23.4781 | − | 29.4406i | −1.22890 | − | 1.54099i | ||||
\(366\) | −4.71488 | − | 5.91228i | −0.246451 | − | 0.309040i | ||||
\(367\) | −24.7568 | + | 26.6815i | −1.29230 | + | 1.39276i | −0.417200 | + | 0.908815i | \(0.636989\pi\) |
−0.875096 | + | 0.483949i | \(0.839202\pi\) | |||||||
\(368\) | 1.18920 | − | 3.85528i | 0.0619912 | − | 0.200971i | ||||
\(369\) | 3.87970 | + | 1.52267i | 0.201969 | + | 0.0792670i | ||||
\(370\) | −27.7164 | − | 18.8967i | −1.44091 | − | 0.982393i | ||||
\(371\) | −1.63734 | − | 3.39997i | −0.0850064 | − | 0.176518i | ||||
\(372\) | 3.09471 | − | 2.87147i | 0.160453 | − | 0.148879i | ||||
\(373\) | 23.0465 | + | 3.47371i | 1.19330 | + | 0.179862i | 0.715505 | − | 0.698607i | \(-0.246196\pi\) |
0.477799 | + | 0.878469i | \(0.341435\pi\) | |||||||
\(374\) | −21.0486 | − | 7.10406i | −1.08839 | − | 0.367342i | ||||
\(375\) | 3.04619 | + | 7.76157i | 0.157305 | + | 0.400806i | ||||
\(376\) | −7.05205 | + | 30.8970i | −0.363682 | + | 1.59339i | ||||
\(377\) | −15.5460 | − | 1.16501i | −0.800660 | − | 0.0600012i | ||||
\(378\) | 7.65477 | − | 2.36118i | 0.393719 | − | 0.121446i | ||||
\(379\) | 0.000144675 | 0 | 0.000300420i | 7.43143e−6 | 0 | 1.54315e-5i | −0.900965 | − | 0.433891i | \(-0.857140\pi\) |
0.900973 | + | 0.433876i | \(0.142854\pi\) | |||||||
\(380\) | 4.99545 | − | 2.88412i | 0.256261 | − | 0.147952i | ||||
\(381\) | 5.64009 | + | 3.25631i | 0.288950 | + | 0.166826i | ||||
\(382\) | −5.45962 | + | 3.72231i | −0.279338 | + | 0.190450i | ||||
\(383\) | −7.15362 | − | 31.3421i | −0.365533 | − | 1.60151i | −0.738896 | − | 0.673820i | \(-0.764652\pi\) |
0.373363 | − | 0.927686i | \(-0.378205\pi\) | |||||||
\(384\) | −1.05488 | − | 6.99869i | −0.0538318 | − | 0.357151i | ||||
\(385\) | 11.4671 | + | 9.14467i | 0.584415 | + | 0.466055i | ||||
\(386\) | 16.0017i | 0.814464i | ||||||||
\(387\) | 4.29595 | + | 4.07719i | 0.218375 | + | 0.207255i | ||||
\(388\) | 3.98471i | 0.202293i | ||||||||
\(389\) | −13.9938 | + | 17.5477i | −0.709515 | + | 0.889704i | −0.997694 | − | 0.0678725i | \(-0.978379\pi\) |
0.288179 | + | 0.957577i | \(0.406950\pi\) | |||||||
\(390\) | 8.67589 | − | 1.30768i | 0.439321 | − | 0.0662169i | ||||
\(391\) | −6.16732 | − | 1.09618i | −0.311895 | − | 0.0554364i | ||||
\(392\) | 14.2760 | − | 9.73320i | 0.721046 | − | 0.491601i | ||||
\(393\) | −4.50242 | + | 7.79842i | −0.227117 | + | 0.393378i | ||||
\(394\) | 25.6376 | − | 14.8019i | 1.29160 | − | 0.745707i | ||||
\(395\) | −2.31923 | − | 1.11688i | −0.116693 | − | 0.0561965i | ||||
\(396\) | −0.628619 | − | 2.03793i | −0.0315893 | − | 0.102410i | ||||
\(397\) | −8.83547 | − | 0.662127i | −0.443439 | − | 0.0332312i | −0.148860 | − | 0.988858i | \(-0.547560\pi\) |
−0.294579 | + | 0.955627i | \(0.595179\pi\) | |||||||
\(398\) | −1.32079 | − | 0.301462i | −0.0662053 | − | 0.0151109i | ||||
\(399\) | 2.38157 | + | 6.06815i | 0.119228 | + | 0.303788i | ||||
\(400\) | 0.587218 | + | 7.83589i | 0.0293609 | + | 0.391794i | ||||
\(401\) | 4.32698 | − | 28.7076i | 0.216079 | − | 1.43359i | −0.573129 | − | 0.819465i | \(-0.694271\pi\) |
0.789208 | − | 0.614126i | \(-0.210491\pi\) | |||||||
\(402\) | 8.86144 | + | 9.55036i | 0.441968 | + | 0.476329i | ||||
\(403\) | −4.22056 | − | 8.76409i | −0.210241 | − | 0.436570i | ||||
\(404\) | 7.24255 | + | 4.93789i | 0.360330 | + | 0.245669i | ||||
\(405\) | −14.3771 | − | 5.64259i | −0.714403 | − | 0.280383i | ||||
\(406\) | 11.9144 | + | 3.67511i | 0.591302 | + | 0.182393i | ||||
\(407\) | −31.9727 | − | 29.6663i | −1.58483 | − | 1.47051i | ||||
\(408\) | −17.6373 | + | 4.93629i | −0.873177 | + | 0.244383i | ||||
\(409\) | −5.26164 | − | 6.59789i | −0.260171 | − | 0.326245i | 0.634539 | − | 0.772890i | \(-0.281190\pi\) |
−0.894711 | + | 0.446646i | \(0.852618\pi\) | |||||||
\(410\) | −11.5657 | − | 10.7314i | −0.571191 | − | 0.529988i | ||||
\(411\) | 2.63622 | − | 8.54641i | 0.130035 | − | 0.421564i | ||||
\(412\) | −2.96423 | + | 7.55274i | −0.146037 | + | 0.372097i | ||||
\(413\) | −6.70075 | + | 9.82819i | −0.329722 | + | 0.483614i | ||||
\(414\) | 0.721569 | + | 1.49835i | 0.0354632 | + | 0.0736400i | ||||
\(415\) | −30.2387 | − | 32.5896i | −1.48436 | − | 1.59976i | ||||
\(416\) | 5.11118 | + | 0.770387i | 0.250596 | + | 0.0377713i | ||||
\(417\) | 1.25024 | + | 16.6833i | 0.0612245 | + | 0.816984i | ||||
\(418\) | −19.3074 | + | 7.57760i | −0.944356 | + | 0.370632i | ||||
\(419\) | 24.3066 | + | 5.54783i | 1.18746 | + | 0.271029i | 0.770226 | − | 0.637771i | \(-0.220143\pi\) |
0.417231 | + | 0.908800i | \(0.363000\pi\) | |||||||
\(420\) | 2.53031 | + | 0.189621i | 0.123466 | + | 0.00925254i | ||||
\(421\) | 11.3709 | − | 3.50746i | 0.554185 | − | 0.170943i | −0.00499847 | − | 0.999988i | \(-0.501591\pi\) |
0.559183 | + | 0.829044i | \(0.311115\pi\) | |||||||
\(422\) | 5.03848 | − | 10.4625i | 0.245269 | − | 0.509307i | ||||
\(423\) | −4.66547 | − | 8.08083i | −0.226843 | − | 0.392903i | ||||
\(424\) | 4.94952 | − | 8.57282i | 0.240370 | − | 0.416333i | ||||
\(425\) | 11.9615 | − | 2.40100i | 0.580217 | − | 0.116466i | ||||
\(426\) | −2.33245 | − | 10.2191i | −0.113008 | − | 0.495119i | ||||
\(427\) | −4.98280 | + | 0.751036i | −0.241134 | + | 0.0363452i | ||||
\(428\) | −1.61660 | − | 1.28920i | −0.0781415 | − | 0.0623157i | ||||
\(429\) | 11.4079 | 0.550779 | ||||||||
\(430\) | −9.49959 | − | 20.3090i | −0.458111 | − | 0.979386i | ||||
\(431\) | − | 18.5273i | − | 0.892427i | −0.894926 | − | 0.446214i | \(-0.852772\pi\) | ||
0.894926 | − | 0.446214i | \(-0.147228\pi\) | |||||||
\(432\) | 11.7349 | + | 9.35826i | 0.564595 | + | 0.450249i | ||||
\(433\) | 15.1500 | − | 2.28349i | 0.728062 | − | 0.109738i | 0.225456 | − | 0.974253i | \(-0.427613\pi\) |
0.502606 | + | 0.864516i | \(0.332375\pi\) | |||||||
\(434\) | 1.73118 | + | 7.58478i | 0.0830991 | + | 0.364081i | ||||
\(435\) | −20.2442 | − | 29.6928i | −0.970635 | − | 1.42366i | ||||
\(436\) | −3.44606 | − | 1.98959i | −0.165037 | − | 0.0952839i | ||||
\(437\) | −5.06485 | + | 2.92419i | −0.242285 | + | 0.139883i | ||||
\(438\) | 21.1050 | + | 10.1636i | 1.00843 | + | 0.485636i | ||||
\(439\) | 2.77775 | + | 9.00523i | 0.132575 | + | 0.429796i | 0.997382 | − | 0.0723068i | \(-0.0230361\pi\) |
−0.864808 | + | 0.502103i | \(0.832560\pi\) | |||||||
\(440\) | −2.87516 | + | 38.3664i | −0.137068 | + | 1.82904i | ||||
\(441\) | −1.13202 | + | 4.95968i | −0.0539055 | + | 0.236175i | ||||
\(442\) | −0.232907 | + | 8.85238i | −0.0110783 | + | 0.421065i | ||||
\(443\) | −0.166300 | − | 2.21913i | −0.00790117 | − | 0.105434i | 0.991859 | − | 0.127343i | \(-0.0406447\pi\) |
−0.999760 | + | 0.0219087i | \(0.993026\pi\) | |||||||
\(444\) | −7.46136 | − | 1.12462i | −0.354101 | − | 0.0533721i | ||||
\(445\) | −3.25611 | − | 3.50925i | −0.154355 | − | 0.166355i | ||||
\(446\) | −17.1642 | + | 8.26582i | −0.812746 | + | 0.391398i | ||||
\(447\) | −14.9356 | + | 21.9065i | −0.706430 | + | 1.03614i | ||||
\(448\) | −9.63008 | − | 3.77953i | −0.454978 | − | 0.178566i | ||||
\(449\) | 3.47026 | − | 11.2503i | 0.163772 | − | 0.530935i | −0.836072 | − | 0.548620i | \(-0.815153\pi\) |
0.999844 | + | 0.0176848i | \(0.00562956\pi\) | |||||||
\(450\) | −2.37438 | − | 2.20310i | −0.111929 | − | 0.103855i | ||||
\(451\) | −12.7903 | − | 16.0386i | −0.602273 | − | 0.755227i | ||||
\(452\) | 3.29586 | − | 2.62836i | 0.155024 | − | 0.123628i | ||||
\(453\) | −10.3778 | + | 11.1846i | −0.487593 | + | 0.525500i | ||||
\(454\) | −1.54569 | + | 5.01102i | −0.0725430 | + | 0.235179i | ||||
\(455\) | 2.13599 | − | 5.44242i | 0.100137 | − | 0.255145i | ||||
\(456\) | −9.63272 | + | 14.1286i | −0.451094 | + | 0.661633i | ||||
\(457\) | −31.4385 | + | 15.1400i | −1.47063 | + | 0.708218i | −0.986038 | − | 0.166522i | \(-0.946746\pi\) |
−0.484593 | + | 0.874740i | \(0.661032\pi\) | |||||||
\(458\) | −13.0234 | + | 12.0839i | −0.608543 | + | 0.564645i | ||||
\(459\) | 12.1786 | − | 19.8681i | 0.568448 | − | 0.927364i | ||||
\(460\) | 0.170120 | + | 2.27010i | 0.00793189 | + | 0.105844i | ||||
\(461\) | 3.94404 | + | 10.0493i | 0.183692 | + | 0.468041i | 0.992824 | − | 0.119587i | \(-0.0381571\pi\) |
−0.809131 | + | 0.587628i | \(0.800062\pi\) | |||||||
\(462\) | −8.89512 | − | 2.03025i | −0.413838 | − | 0.0944559i | ||||
\(463\) | 2.71823 | − | 36.2723i | 0.126327 | − | 1.68572i | −0.469759 | − | 0.882795i | \(-0.655659\pi\) |
0.596086 | − | 0.802921i | \(-0.296722\pi\) | |||||||
\(464\) | 6.88601 | + | 22.3239i | 0.319675 | + | 1.03636i | ||||
\(465\) | 9.72928 | − | 20.2031i | 0.451185 | − | 0.936895i | ||||
\(466\) | 27.4228 | − | 15.8326i | 1.27034 | − | 0.733429i | ||||
\(467\) | −1.20456 | + | 2.08636i | −0.0557405 | + | 0.0965454i | −0.892549 | − | 0.450950i | \(-0.851085\pi\) |
0.836809 | + | 0.547495i | \(0.184419\pi\) | |||||||
\(468\) | −0.702416 | + | 0.478899i | −0.0324692 | + | 0.0221371i | ||||
\(469\) | 8.46383 | − | 1.93181i | 0.390823 | − | 0.0892029i | ||||
\(470\) | 5.26461 | + | 34.9284i | 0.242838 | + | 1.61113i | ||||
\(471\) | −22.2520 | − | 17.7454i | −1.02532 | − | 0.817664i | ||||
\(472\) | −31.2030 | −1.43623 | ||||||||
\(473\) | −8.27791 | − | 27.9519i | −0.380619 | − | 1.28523i | ||||
\(474\) | 1.60131 | 0.0735506 | ||||||||
\(475\) | 7.10194 | − | 8.90555i | 0.325859 | − | 0.408615i | ||||
\(476\) | −0.635346 | + | 2.48093i | −0.0291210 | + | 0.113713i | ||||
\(477\) | 0.648552 | + | 2.84149i | 0.0296952 | + | 0.130103i | ||||
\(478\) | 21.5341 | − | 14.6817i | 0.984945 | − | 0.671524i | ||||
\(479\) | 0.551318 | + | 0.318303i | 0.0251903 | + | 0.0145436i | 0.512542 | − | 0.858662i | \(-0.328704\pi\) |
−0.487352 | + | 0.873206i | \(0.662037\pi\) | |||||||
\(480\) | 5.95771 | + | 10.3191i | 0.271931 | + | 0.470999i | ||||
\(481\) | −7.54364 | + | 15.6645i | −0.343960 | + | 0.714241i | ||||
\(482\) | −2.48659 | − | 8.06133i | −0.113261 | − | 0.367183i | ||||
\(483\) | −2.56547 | − | 0.192255i | −0.116733 | − | 0.00874791i | ||||
\(484\) | −1.03576 | + | 4.53794i | −0.0470798 | + | 0.206270i | ||||
\(485\) | 7.73245 | + | 19.7020i | 0.351112 | + | 0.894620i | ||||
\(486\) | −10.9117 | + | 0.817715i | −0.494963 | + | 0.0370923i | ||||
\(487\) | −4.83020 | + | 32.0463i | −0.218877 | + | 1.45216i | 0.561826 | + | 0.827255i | \(0.310099\pi\) |
−0.780704 | + | 0.624902i | \(0.785139\pi\) | |||||||
\(488\) | −8.99080 | − | 9.68978i | −0.406995 | − | 0.438636i | ||||
\(489\) | −4.57494 | + | 2.20317i | −0.206886 | + | 0.0996309i | ||||
\(490\) | 10.8485 | − | 15.9118i | 0.490083 | − | 0.718820i | ||||
\(491\) | −2.99748 | + | 7.63745i | −0.135274 | + | 0.344673i | −0.982419 | − | 0.186689i | \(-0.940224\pi\) |
0.847145 | + | 0.531362i | \(0.178320\pi\) | |||||||
\(492\) | −3.39131 | − | 1.04608i | −0.152892 | − | 0.0471610i | ||||
\(493\) | 33.0820 | − | 14.8726i | 1.48994 | − | 0.669829i | ||||
\(494\) | 5.15496 | + | 6.46411i | 0.231933 | + | 0.290834i | ||||
\(495\) | −7.06280 | − | 8.85647i | −0.317449 | − | 0.398069i | ||||
\(496\) | −9.91487 | + | 10.6857i | −0.445191 | + | 0.479802i | ||||
\(497\) | −6.67445 | − | 2.05880i | −0.299390 | − | 0.0923496i | ||||
\(498\) | 25.7440 | + | 10.1038i | 1.15362 | + | 0.452761i | ||||
\(499\) | −8.22785 | + | 12.0680i | −0.368329 | + | 0.540240i | −0.965001 | − | 0.262245i | \(-0.915537\pi\) |
0.596672 | + | 0.802485i | \(0.296489\pi\) | |||||||
\(500\) | 1.32697 | + | 2.75548i | 0.0593438 | + | 0.123229i | ||||
\(501\) | 12.9263 | − | 11.9939i | 0.577504 | − | 0.535846i | ||||
\(502\) | 15.0879 | + | 2.27413i | 0.673405 | + | 0.101500i | ||||
\(503\) | 31.4771 | − | 2.35888i | 1.40349 | − | 0.105177i | 0.648652 | − | 0.761085i | \(-0.275333\pi\) |
0.754841 | + | 0.655908i | \(0.227714\pi\) | |||||||
\(504\) | 3.01622 | − | 1.18378i | 0.134353 | − | 0.0527296i | ||||
\(505\) | 45.3921 | + | 10.3605i | 2.01992 | + | 0.461034i | ||||
\(506\) | 0.611709 | − | 8.16269i | 0.0271938 | − | 0.362876i | ||||
\(507\) | 4.20820 | + | 13.6427i | 0.186893 | + | 0.605892i | ||||
\(508\) | 2.15225 | + | 1.03647i | 0.0954908 | + | 0.0459859i | ||||
\(509\) | 2.43909 | + | 4.22463i | 0.108111 | + | 0.187253i | 0.915005 | − | 0.403443i | \(-0.132187\pi\) |
−0.806894 | + | 0.590696i | \(0.798853\pi\) | |||||||
\(510\) | −16.2893 | + | 12.3035i | −0.721301 | + | 0.544810i | ||||
\(511\) | 12.8970 | − | 8.79305i | 0.570531 | − | 0.388981i | ||||
\(512\) | −5.34916 | − | 23.4362i | −0.236402 | − | 1.03574i | ||||
\(513\) | −3.24279 | − | 21.5145i | −0.143173 | − | 0.949888i | ||||
\(514\) | −1.56046 | + | 1.95675i | −0.0688288 | + | 0.0863086i | ||||
\(515\) | 43.0959i | 1.89903i | ||||||||
\(516\) | −3.90732 | − | 3.18875i | −0.172010 | − | 0.140377i | ||||
\(517\) | 45.9273i | 2.01988i | ||||||||
\(518\) | 8.66983 | − | 10.8716i | 0.380930 | − | 0.477672i | ||||
\(519\) | −18.4014 | + | 2.77356i | −0.807730 | + | 0.121746i | ||||
\(520\) | 14.9521 | − | 3.41272i | 0.655693 | − | 0.149658i | ||||
\(521\) | 19.7580 | + | 28.9796i | 0.865613 | + | 1.26962i | 0.961660 | + | 0.274244i | \(0.0884276\pi\) |
−0.0960472 | + | 0.995377i | \(0.530620\pi\) | |||||||
\(522\) | −8.33966 | − | 4.81490i | −0.365017 | − | 0.210743i | ||||
\(523\) | 19.4322 | + | 33.6576i | 0.849712 | + | 1.47174i | 0.881465 | + | 0.472249i | \(0.156558\pi\) |
−0.0317529 | + | 0.999496i | \(0.510109\pi\) | |||||||
\(524\) | −1.43310 | + | 2.97587i | −0.0626054 | + | 0.130002i | ||||
\(525\) | 4.78804 | − | 1.47691i | 0.208967 | − | 0.0644578i | ||||
\(526\) | −1.71486 | + | 22.8832i | −0.0747715 | + | 0.997756i | ||||
\(527\) | 18.3578 | + | 13.2366i | 0.799678 | + | 0.576594i | ||||
\(528\) | −6.24561 | − | 15.9136i | −0.271805 | − | 0.692549i | ||||
\(529\) | 1.54631 | + | 20.6341i | 0.0672308 | + | 0.897133i | ||||
\(530\) | 1.64443 | − | 10.9101i | 0.0714294 | − | 0.473903i | ||||
\(531\) | 6.73460 | − | 6.24880i | 0.292257 | − | 0.271175i | ||||
\(532\) | 1.03745 | + | 2.15429i | 0.0449792 | + | 0.0934002i | ||||
\(533\) | −4.60649 | + | 6.75648i | −0.199529 | + | 0.292656i | ||||
\(534\) | 2.77212 | + | 1.08798i | 0.119961 | + | 0.0470813i | ||||
\(535\) | −10.4948 | − | 3.23723i | −0.453732 | − | 0.139958i | ||||
\(536\) | 16.6939 | + | 15.4897i | 0.721066 | + | 0.669051i | ||||
\(537\) | −6.04441 | + | 4.82025i | −0.260835 | + | 0.208009i | ||||
\(538\) | 25.5338 | − | 20.3625i | 1.10084 | − | 0.877890i | ||||
\(539\) | 17.0312 | − | 18.3553i | 0.733587 | − | 0.790619i | ||||
\(540\) | −8.09277 | − | 2.49629i | −0.348257 | − | 0.107423i | ||||
\(541\) | 11.5412 | + | 4.52960i | 0.496197 | + | 0.194743i | 0.600225 | − | 0.799831i | \(-0.295078\pi\) |
−0.104028 | + | 0.994574i | \(0.533173\pi\) | |||||||
\(542\) | −26.0158 | − | 17.7373i | −1.11748 | − | 0.761882i | ||||
\(543\) | −15.6881 | + | 7.55501i | −0.673243 | + | 0.324217i | ||||
\(544\) | −11.3066 | + | 4.09771i | −0.484765 | + | 0.175688i | ||||
\(545\) | −20.8995 | − | 3.15010i | −0.895238 | − | 0.134935i | ||||
\(546\) | 0.271793 | + | 3.62682i | 0.0116316 | + | 0.155214i | ||||
\(547\) | −6.31468 | + | 2.47833i | −0.269996 | + | 0.105966i | −0.496477 | − | 0.868050i | \(-0.665373\pi\) |
0.226481 | + | 0.974016i | \(0.427278\pi\) | |||||||
\(548\) | 0.729994 | − | 3.19831i | 0.0311838 | − | 0.136625i | ||||
\(549\) | 3.88100 | + | 0.290841i | 0.165637 | + | 0.0124128i | ||||
\(550\) | 4.69919 | + | 15.2344i | 0.200374 | + | 0.649597i | ||||
\(551\) | 14.6934 | − | 30.5112i | 0.625961 | − | 1.29982i | ||||
\(552\) | −3.37427 | − | 5.84441i | −0.143619 | − | 0.248755i | ||||
\(553\) | 0.533525 | − | 0.924092i | 0.0226878 | − | 0.0392964i | ||||
\(554\) | 20.7958 | + | 30.5019i | 0.883530 | + | 1.29590i | ||||
\(555\) | −39.0742 | + | 8.91844i | −1.65861 | + | 0.378567i | ||||
\(556\) | 0.914608 | + | 6.06803i | 0.0387880 | + | 0.257342i | ||||
\(557\) | 17.5938 | − | 22.0620i | 0.745474 | − | 0.934795i | −0.254000 | − | 0.967204i | \(-0.581746\pi\) |
0.999475 | + | 0.0324087i | \(0.0103178\pi\) | |||||||
\(558\) | − | 6.00869i | − | 0.254368i | ||||||
\(559\) | −9.67464 | + | 6.43742i | −0.409194 | + | 0.272274i | ||||
\(560\) | −8.76137 | −0.370236 | ||||||||
\(561\) | −23.3272 | + | 12.6619i | −0.984875 | + | 0.534585i | ||||
\(562\) | −29.9437 | + | 4.51329i | −1.26310 | + | 0.190382i | ||||
\(563\) | −1.69931 | − | 7.44518i | −0.0716175 | − | 0.313777i | 0.926413 | − | 0.376509i | \(-0.122876\pi\) |
−0.998030 | + | 0.0627324i | \(0.980019\pi\) | |||||||
\(564\) | 4.47587 | + | 6.56489i | 0.188468 | + | 0.276432i | ||||
\(565\) | 11.1956 | − | 19.3913i | 0.471002 | − | 0.815800i | ||||
\(566\) | 8.49377 | − | 4.90388i | 0.357020 | − | 0.206125i | ||||
\(567\) | 2.77782 | − | 5.76820i | 0.116657 | − | 0.242241i | ||||
\(568\) | −5.40059 | − | 17.5083i | −0.226604 | − | 0.734632i | ||||
\(569\) | −0.324362 | + | 4.32831i | −0.0135980 | + | 0.181452i | 0.986269 | + | 0.165146i | \(0.0528096\pi\) |
−0.999867 | + | 0.0163060i | \(0.994809\pi\) | |||||||
\(570\) | −4.24109 | + | 18.5814i | −0.177640 | + | 0.778290i | ||||
\(571\) | 14.3776 | − | 5.64278i | 0.601683 | − | 0.236143i | −0.0448943 | − | 0.998992i | \(-0.514295\pi\) |
0.646577 | + | 0.762849i | \(0.276200\pi\) | |||||||
\(572\) | 4.17271 | − | 0.312701i | 0.174470 | − | 0.0130747i | ||||
\(573\) | −1.17667 | + | 7.80667i | −0.0491559 | + | 0.326128i | ||||
\(574\) | 4.79428 | − | 4.44844i | 0.200109 | − | 0.185674i | ||||
\(575\) | 1.95046 | + | 4.05018i | 0.0813399 | + | 0.168904i | ||||
\(576\) | 6.60167 | + | 4.50094i | 0.275070 | + | 0.187539i | ||||
\(577\) | −7.71430 | + | 19.6557i | −0.321151 | + | 0.818278i | 0.675565 | + | 0.737300i | \(0.263900\pi\) |
−0.996716 | + | 0.0809782i | \(0.974196\pi\) | |||||||
\(578\) | −9.34921 | − | 18.3601i | −0.388876 | − | 0.763680i | ||||
\(579\) | 14.0148 | + | 13.0038i | 0.582436 | + | 0.540422i | ||||
\(580\) | −8.21870 | − | 10.3059i | −0.341263 | − | 0.427930i | ||||
\(581\) | 14.4081 | − | 11.4901i | 0.597750 | − | 0.476690i | ||||
\(582\) | −9.65148 | − | 8.95526i | −0.400067 | − | 0.371208i | ||||
\(583\) | 4.22845 | − | 13.7083i | 0.175124 | − | 0.567739i | ||||
\(584\) | 38.1156 | + | 14.9593i | 1.57724 | + | 0.619019i | ||||
\(585\) | −2.54370 | + | 3.73092i | −0.105169 | + | 0.154255i | ||||
\(586\) | 6.11995 | − | 2.94721i | 0.252813 | − | 0.121748i | ||||
\(587\) | −5.54989 | + | 5.14954i | −0.229068 | + | 0.212544i | −0.786353 | − | 0.617777i | \(-0.788034\pi\) |
0.557285 | + | 0.830321i | \(0.311843\pi\) | |||||||
\(588\) | 0.645636 | − | 4.28351i | 0.0266256 | − | 0.176649i | ||||
\(589\) | 21.0715 | − | 1.57909i | 0.868236 | − | 0.0650653i | ||||
\(590\) | −32.3742 | + | 12.7060i | −1.33283 | + | 0.523096i | ||||
\(591\) | 7.87054 | − | 34.4831i | 0.323751 | − | 1.41844i | ||||
\(592\) | 25.9814 | + | 1.94704i | 1.06783 | + | 0.0800227i | ||||
\(593\) | 36.4339 | − | 11.2384i | 1.49616 | − | 0.461505i | 0.564686 | − | 0.825306i | \(-0.308997\pi\) |
0.931477 | + | 0.363801i | \(0.118521\pi\) | |||||||
\(594\) | 27.4367 | + | 13.2128i | 1.12574 | + | 0.542129i | ||||
\(595\) | 1.67293 | + | 13.4996i | 0.0685834 | + | 0.553430i | ||||
\(596\) | −4.86257 | + | 8.42222i | −0.199179 | + | 0.344988i | ||||
\(597\) | −1.33738 | + | 0.911809i | −0.0547352 | + | 0.0373179i | ||||
\(598\) | −3.18116 | + | 0.726078i | −0.130087 | + | 0.0296915i | ||||
\(599\) | 1.38630 | − | 0.208952i | 0.0566428 | − | 0.00853753i | −0.120660 | − | 0.992694i | \(-0.538501\pi\) |
0.177303 | + | 0.984156i | \(0.443263\pi\) | |||||||
\(600\) | 10.2763 | + | 8.19505i | 0.419527 | + | 0.334561i | ||||
\(601\) | − | 27.5644i | − | 1.12437i | −0.827010 | − | 0.562187i | \(-0.809960\pi\) | ||
0.827010 | − | 0.562187i | \(-0.190040\pi\) | |||||||
\(602\) | 8.68930 | − | 3.29768i | 0.354149 | − | 0.134403i | ||||
\(603\) | −6.70507 | −0.273052 | ||||||||
\(604\) | −3.48935 | + | 4.37551i | −0.141980 | + | 0.178037i | ||||
\(605\) | 3.68483 | + | 24.4473i | 0.149810 | + | 0.993923i | ||||
\(606\) | −28.2371 | + | 6.44495i | −1.14706 | + | 0.261808i | ||||
\(607\) | −17.1402 | − | 25.1400i | −0.695698 | − | 1.02040i | −0.997746 | − | 0.0671083i | \(-0.978623\pi\) |
0.302048 | − | 0.953293i | \(-0.402330\pi\) | |||||||
\(608\) | −5.61414 | + | 9.72398i | −0.227684 | + | 0.394360i | ||||
\(609\) | 12.9011 | − | 7.44845i | 0.522778 | − | 0.301826i | ||||
\(610\) | −13.2740 | − | 6.39242i | −0.537448 | − | 0.258821i | ||||
\(611\) | 17.4943 | − | 5.39629i | 0.707745 | − | 0.218310i | ||||
\(612\) | 0.904779 | − | 1.75889i | 0.0365735 | − | 0.0710990i | ||||
\(613\) | 4.34894 | − | 19.0539i | 0.175652 | − | 0.769581i | −0.807953 | − | 0.589246i | \(-0.799425\pi\) |
0.983605 | − | 0.180335i | \(-0.0577181\pi\) | |||||||
\(614\) | 10.2572 | + | 26.1350i | 0.413949 | + | 1.05472i | ||||
\(615\) | −18.7979 | + | 1.40871i | −0.758005 | + | 0.0568046i | ||||
\(616\) | −15.7703 | − | 2.37698i | −0.635402 | − | 0.0957714i | ||||
\(617\) | −6.72644 | − | 7.24938i | −0.270796 | − | 0.291849i | 0.582983 | − | 0.812484i | \(-0.301885\pi\) |
−0.853779 | + | 0.520636i | \(0.825695\pi\) | |||||||
\(618\) | −11.6319 | − | 24.1538i | −0.467902 | − | 0.971609i | ||||
\(619\) | 3.89684 | − | 5.71561i | 0.156627 | − | 0.229730i | −0.739902 | − | 0.672715i | \(-0.765128\pi\) |
0.896529 | + | 0.442985i | \(0.146080\pi\) | |||||||
\(620\) | 3.00493 | − | 7.65643i | 0.120681 | − | 0.307490i | ||||
\(621\) | 8.20520 | + | 2.53097i | 0.329264 | + | 0.101564i | ||||
\(622\) | −9.92702 | + | 10.6988i | −0.398037 | + | 0.428982i | ||||
\(623\) | 1.55147 | − | 1.23726i | 0.0621583 | − | 0.0495696i | ||||
\(624\) | −5.32786 | + | 4.24882i | −0.213285 | + | 0.170089i | ||||
\(625\) | 22.7535 | + | 21.1121i | 0.910139 | + | 0.844485i | ||||
\(626\) | −4.52248 | + | 14.6615i | −0.180755 | + | 0.585992i | ||||
\(627\) | −9.05354 | + | 23.0680i | −0.361564 | + | 0.921249i | ||||
\(628\) | −8.62561 | − | 5.88084i | −0.344199 | − | 0.234671i | ||||
\(629\) | −1.96097 | − | 40.4041i | −0.0781889 | − | 1.61102i | ||||
\(630\) | 2.64739 | − | 2.45642i | 0.105475 | − | 0.0978662i | ||||
\(631\) | 2.16158 | + | 0.325805i | 0.0860510 | + | 0.0129701i | 0.191927 | − | 0.981409i | \(-0.438526\pi\) |
−0.105876 | + | 0.994379i | \(0.533765\pi\) | |||||||
\(632\) | 2.79124 | − | 0.209174i | 0.111030 | − | 0.00832051i | ||||
\(633\) | −5.06887 | − | 12.9153i | −0.201470 | − | 0.513336i | ||||
\(634\) | −9.05048 | − | 2.06571i | −0.359441 | − | 0.0820400i | ||||
\(635\) | 12.6529 | + | 0.948202i | 0.502114 | + | 0.0376282i | ||||
\(636\) | −0.731530 | − | 2.37156i | −0.0290071 | − | 0.0940386i | ||||
\(637\) | −8.99289 | − | 4.33075i | −0.356311 | − | 0.171590i | ||||
\(638\) | 23.6992 | + | 41.0482i | 0.938259 | + | 1.62511i | ||||
\(639\) | 4.67188 | + | 2.69731i | 0.184817 | + | 0.106704i | ||||
\(640\) | −7.76784 | − | 11.3933i | −0.307051 | − | 0.450361i | ||||
\(641\) | 29.9973 | − | 6.84668i | 1.18482 | − | 0.270428i | 0.415683 | − | 0.909510i | \(-0.363543\pi\) |
0.769139 | + | 0.639082i | \(0.220686\pi\) | |||||||
\(642\) | 6.75577 | − | 1.01827i | 0.266629 | − | 0.0401878i | ||||
\(643\) | 38.2819 | + | 30.5288i | 1.50969 | + | 1.20394i | 0.917241 | + | 0.398332i | \(0.130411\pi\) |
0.592450 | + | 0.805607i | \(0.298161\pi\) | |||||||
\(644\) | −0.943649 | −0.0371850 | ||||||||
\(645\) | −25.5072 | − | 8.18413i | −1.00434 | − | 0.322250i | ||||
\(646\) | −17.7157 | − | 7.49640i | −0.697014 | − | 0.294942i | ||||
\(647\) | −23.0706 | + | 28.9297i | −0.907001 | + | 1.13734i | 0.0830380 | + | 0.996546i | \(0.473538\pi\) |
−0.990039 | + | 0.140796i | \(0.955034\pi\) | |||||||
\(648\) | 16.6066 | − | 2.50304i | 0.652368 | − | 0.0983287i | ||||
\(649\) | −44.0854 | + | 10.0622i | −1.73050 | + | 0.394976i | ||||
\(650\) | 5.25085 | − | 3.57997i | 0.205955 | − | 0.140418i | ||||
\(651\) | 8.04986 | + | 4.64759i | 0.315499 | + | 0.182153i | ||||
\(652\) | −1.61300 | + | 0.931265i | −0.0631699 | + | 0.0364712i | ||||
\(653\) | 11.9664 | − | 24.8484i | 0.468280 | − | 0.972393i | −0.524383 | − | 0.851482i | \(-0.675704\pi\) |
0.992663 | − | 0.120911i | \(-0.0385816\pi\) | |||||||
\(654\) | 12.5637 | − | 3.87540i | 0.491281 | − | 0.151540i | ||||
\(655\) | −1.31106 | + | 17.4949i | −0.0512273 | + | 0.683580i | ||||
\(656\) | 11.9470 | + | 2.72682i | 0.466452 | + | 0.106465i | ||||
\(657\) | −11.2224 | + | 4.40445i | −0.437826 | + | 0.171834i | ||||
\(658\) | −14.6013 | + | 1.09421i | −0.569217 | + | 0.0426569i | ||||
\(659\) | −22.2292 | − | 3.35051i | −0.865926 | − | 0.130517i | −0.298967 | − | 0.954263i | \(-0.596642\pi\) |
−0.566959 | + | 0.823746i | \(0.691880\pi\) | |||||||
\(660\) | 6.56090 | + | 7.07097i | 0.255383 | + | 0.275237i | ||||
\(661\) | 10.1940 | − | 4.90920i | 0.396503 | − | 0.190946i | −0.224998 | − | 0.974359i | \(-0.572238\pi\) |
0.621501 | + | 0.783414i | \(0.286523\pi\) | |||||||
\(662\) | 18.7695 | + | 12.7968i | 0.729497 | + | 0.497363i | ||||
\(663\) | 7.56395 | + | 7.39792i | 0.293759 | + | 0.287312i | ||||
\(664\) | 46.1941 | + | 14.2490i | 1.79268 | + | 0.552968i | ||||
\(665\) | 9.31002 | + | 8.63843i | 0.361027 | + | 0.334984i | ||||
\(666\) | −8.39660 | + | 6.69606i | −0.325362 | + | 0.259467i | ||||
\(667\) | 8.33289 | + | 10.4491i | 0.322651 | + | 0.404591i | ||||
\(668\) | 4.39933 | − | 4.74135i | 0.170215 | − | 0.183448i | ||||
\(669\) | −6.70905 | + | 21.7502i | −0.259387 | + | 0.840912i | ||||
\(670\) | 23.6279 | + | 9.27328i | 0.912827 | + | 0.358258i | ||||
\(671\) | −15.8275 | − | 10.7910i | −0.611012 | − | 0.416581i | ||||
\(672\) | −4.45010 | + | 2.14305i | −0.171666 | + | 0.0826701i | ||||
\(673\) | −17.7178 | − | 19.0953i | −0.682972 | − | 0.736069i | 0.292482 | − | 0.956271i | \(-0.405519\pi\) |
−0.975454 | + | 0.220202i | \(0.929328\pi\) | |||||||
\(674\) | 0.773858 | − | 5.13421i | 0.0298079 | − | 0.197762i | ||||
\(675\) | −16.6771 | + | 1.24978i | −0.641903 | + | 0.0481040i | ||||
\(676\) | 1.91321 | + | 4.87477i | 0.0735849 | + | 0.187491i | ||||
\(677\) | 12.3465 | + | 2.81800i | 0.474513 | + | 0.108304i | 0.453088 | − | 0.891466i | \(-0.350322\pi\) |
0.0214253 | + | 0.999770i | \(0.493180\pi\) | |||||||
\(678\) | −1.04091 | + | 13.8900i | −0.0399759 | + | 0.533442i | ||||
\(679\) | −8.38364 | + | 2.58601i | −0.321734 | + | 0.0992419i | ||||
\(680\) | −26.7866 | + | 23.5741i | −1.02722 | + | 0.904025i | ||||
\(681\) | 3.13270 | + | 5.42600i | 0.120045 | + | 0.207925i | ||||
\(682\) | −14.7875 | + | 25.6127i | −0.566243 | + | 0.980762i | ||||
\(683\) | 14.0370 | + | 20.5885i | 0.537110 | + | 0.787795i | 0.994857 | − | 0.101287i | \(-0.0322960\pi\) |
−0.457747 | + | 0.889082i | \(0.651344\pi\) | |||||||
\(684\) | −0.410936 | − | 1.80043i | −0.0157125 | − | 0.0688410i | ||||
\(685\) | −2.59705 | − | 17.2303i | −0.0992280 | − | 0.658335i | ||||
\(686\) | 13.9981 | + | 11.1631i | 0.534449 | + | 0.426209i | ||||
\(687\) | 21.2264i | 0.809837i | ||||||||
\(688\) | 14.2766 | + | 9.97137i | 0.544291 | + | 0.380155i | ||||
\(689\) | −5.71850 | −0.217858 | ||||||||
\(690\) | −5.88079 | − | 4.68978i | −0.223878 | − | 0.178537i | ||||
\(691\) | 0.107310 | + | 0.711956i | 0.00408227 | + | 0.0270841i | 0.990779 | − | 0.135486i | \(-0.0432597\pi\) |
−0.986697 | + | 0.162570i | \(0.948022\pi\) | |||||||
\(692\) | −6.65470 | + | 1.51889i | −0.252974 | + | 0.0577396i | ||||
\(693\) | 3.87975 | − | 2.64517i | 0.147379 | − | 0.100482i | ||||
\(694\) | −18.0729 | − | 10.4344i | −0.686039 | − | 0.396085i | ||||
\(695\) | 16.2974 | + | 28.2279i | 0.618195 | + | 1.07074i | ||||
\(696\) | 35.2074 | + | 16.9550i | 1.33453 | + | 0.642677i | ||||
\(697\) | 1.92031 | − | 18.9287i | 0.0727370 | − | 0.716976i | ||||
\(698\) | −2.77390 | + | 37.0152i | −0.104994 | + | 1.40104i | ||||
\(699\) | 8.41858 | − | 36.8842i | 0.318420 | − | 1.39509i | ||||
\(700\) | 1.71085 | − | 0.671461i | 0.0646642 | − | 0.0253788i | ||||
\(701\) | 1.77705 | + | 23.7131i | 0.0671182 | + | 0.895630i | 0.924557 | + | 0.381044i | \(0.124435\pi\) |
−0.857439 | + | 0.514586i | \(0.827946\pi\) | |||||||
\(702\) | 1.80923 | − | 12.0035i | 0.0682852 | − | 0.453042i | ||||
\(703\) | −25.6886 | − | 27.6858i | −0.968866 | − | 1.04419i | ||||
\(704\) | −17.0635 | − | 35.4326i | −0.643103 | − | 1.33542i | ||||
\(705\) | 34.8698 | + | 23.7738i | 1.31327 | + | 0.895374i | ||||
\(706\) | −3.96073 | + | 10.0918i | −0.149064 | + | 0.379809i | ||||
\(707\) | −5.68878 | + | 18.4426i | −0.213949 | + | 0.693605i | ||||
\(708\) | −5.32100 | + | 5.73467i | −0.199975 | + | 0.215522i | ||||
\(709\) | 0.408482 | − | 0.325754i | 0.0153409 | − | 0.0122339i | −0.615789 | − | 0.787911i | \(-0.711163\pi\) |
0.631130 | + | 0.775677i | \(0.282591\pi\) | |||||||
\(710\) | −12.7327 | − | 15.9663i | −0.477851 | − | 0.599206i | ||||
\(711\) | −0.560548 | + | 0.604128i | −0.0210222 | + | 0.0226566i | ||||
\(712\) | 4.97419 | + | 1.53433i | 0.186416 | + | 0.0575016i | ||||
\(713\) | −3.04668 | + | 7.76281i | −0.114099 | + | 0.290719i | ||||
\(714\) | −4.58126 | − | 7.11455i | −0.171449 | − | 0.266256i | ||||
\(715\) | 20.0247 | − | 9.64338i | 0.748881 | − | 0.360642i | ||||
\(716\) | −2.07876 | + | 1.92880i | −0.0776867 | + | 0.0720828i | ||||
\(717\) | 4.64106 | − | 30.7914i | 0.173323 | − | 1.14993i | ||||
\(718\) | −1.50957 | − | 20.1438i | −0.0563366 | − | 0.751760i | ||||
\(719\) | 21.4331 | − | 8.41189i | 0.799321 | − | 0.313710i | 0.0697054 | − | 0.997568i | \(-0.477794\pi\) |
0.729616 | + | 0.683857i | \(0.239699\pi\) | |||||||
\(720\) | 6.59711 | + | 1.50575i | 0.245860 | + | 0.0561159i | ||||
\(721\) | −17.8143 | − | 1.33500i | −0.663440 | − | 0.0497180i | ||||
\(722\) | 4.84209 | − | 1.49359i | 0.180204 | − | 0.0555856i | ||||
\(723\) | −9.08112 | − | 4.37324i | −0.337731 | − | 0.162642i | ||||
\(724\) | −5.53122 | + | 3.19345i | −0.205566 | + | 0.118684i | ||||
\(725\) | −22.5428 | − | 13.0151i | −0.837220 | − | 0.483369i | ||||
\(726\) | −8.66371 | − | 12.7073i | −0.321541 | − | 0.471613i | ||||
\(727\) | 1.77981 | + | 7.79787i | 0.0660096 | + | 0.289207i | 0.997149 | − | 0.0754561i | \(-0.0240413\pi\) |
−0.931140 | + | 0.364663i | \(0.881184\pi\) | |||||||
\(728\) | 0.947522 | + | 6.28640i | 0.0351175 | + | 0.232989i | ||||
\(729\) | −18.3913 | + | 23.0620i | −0.681159 | + | 0.854146i | ||||
\(730\) | 45.6378 | 1.68913 | ||||||||
\(731\) | 12.6379 | − | 23.9015i | 0.467431 | − | 0.884029i | ||||
\(732\) | −3.31403 | −0.122490 | ||||||||
\(733\) | 27.8876 | − | 34.9699i | 1.03005 | − | 1.29164i | 0.0743736 | − | 0.997230i | \(-0.476304\pi\) |
0.955678 | − | 0.294414i | \(-0.0951243\pi\) | |||||||
\(734\) | −6.57470 | − | 43.6203i | −0.242677 | − | 1.61005i | ||||
\(735\) | −5.12001 | − | 22.4322i | −0.188854 | − | 0.827425i | ||||
\(736\) | −2.49623 | − | 3.66130i | −0.0920124 | − | 0.134957i | ||||
\(737\) | 28.5811 | + | 16.5013i | 1.05280 | + | 0.607834i | ||||
\(738\) | −4.37450 | + | 2.52562i | −0.161028 | + | 0.0929693i | ||||
\(739\) | 0.774732 | + | 0.373091i | 0.0284990 | + | 0.0137244i | 0.448079 | − | 0.893994i | \(-0.352108\pi\) |
−0.419580 | + | 0.907718i | \(0.637823\pi\) | |||||||
\(740\) | −14.0479 | + | 4.33319i | −0.516410 | + | 0.159291i | ||||
\(741\) | 9.85069 | + | 0.738207i | 0.361874 | + | 0.0271187i | ||||
\(742\) | 4.45891 | + | 1.01772i | 0.163692 | + | 0.0373615i | ||||
\(743\) | −20.0482 | + | 7.86834i | −0.735498 | + | 0.288662i | −0.703372 | − | 0.710822i | \(-0.748323\pi\) |
−0.0321260 | + | 0.999484i | \(0.510228\pi\) | |||||||
\(744\) | 1.82214 | + | 24.3147i | 0.0668028 | + | 0.891422i | ||||
\(745\) | −7.69888 | + | 51.0787i | −0.282065 | + | 1.87138i | ||||
\(746\) | −20.7066 | + | 19.2129i | −0.758123 | + | 0.703436i | ||||
\(747\) | −12.8237 | + | 6.17557i | −0.469195 | + | 0.225952i | ||||
\(748\) | −8.18539 | + | 5.27080i | −0.299288 | + | 0.192720i | ||||
\(749\) | 1.66326 | − | 4.23792i | 0.0607743 | − | 0.154850i | ||||
\(750\) | −9.65636 | − | 2.97859i | −0.352600 | − | 0.108763i | ||||
\(751\) | −12.1564 | + | 13.1015i | −0.443593 | + | 0.478079i | −0.914779 | − | 0.403954i | \(-0.867635\pi\) |
0.471186 | + | 0.882034i | \(0.343826\pi\) | |||||||
\(752\) | −17.1054 | − | 21.4495i | −0.623770 | − | 0.782183i | ||||
\(753\) | 14.2530 | − | 11.3664i | 0.519409 | − | 0.414215i | ||||
\(754\) | 12.8512 | − | 13.8503i | 0.468015 | − | 0.504400i | ||||
\(755\) | −8.76192 | + | 28.4054i | −0.318879 | + | 1.03378i | ||||
\(756\) | 1.28257 | − | 3.26794i | 0.0466467 | − | 0.118854i | ||||
\(757\) | −23.9292 | − | 16.3147i | −0.869723 | − | 0.592967i | 0.0441240 | − | 0.999026i | \(-0.485950\pi\) |
−0.913847 | + | 0.406059i | \(0.866903\pi\) | |||||||
\(758\) | 0.000175341 | 0 | 0.000364099i | 6.36866e−6 | 0 | 1.32247e-5i | ||||
\(759\) | −6.65206 | − | 7.16921i | −0.241454 | − | 0.260226i | ||||
\(760\) | −4.96539 | + | 32.9432i | −0.180114 | + | 1.19498i | ||||
\(761\) | 3.06494 | + | 40.8988i | 0.111104 | + | 1.48258i | 0.722563 | + | 0.691305i | \(0.242964\pi\) |
−0.611459 | + | 0.791276i | \(0.709417\pi\) | |||||||
\(762\) | −7.34745 | + | 2.88366i | −0.266170 | + | 0.104464i | ||||
\(763\) | 1.94956 | − | 8.54156i | 0.0705786 | − | 0.309225i | ||||
\(764\) | −0.216405 | + | 2.88773i | −0.00782926 | + | 0.104474i | ||||
\(765\) | 1.06039 | − | 10.4524i | 0.0383386 | − | 0.377907i | ||||
\(766\) | 35.1039 | + | 16.9052i | 1.26836 | + | 0.610808i | ||||
\(767\) | 9.01271 | + | 15.6105i | 0.325430 | + | 0.563661i | ||||
\(768\) | −14.7583 | − | 8.52070i | −0.532544 | − | 0.307464i | ||||
\(769\) | 21.2231 | − | 14.4696i | 0.765323 | − | 0.521788i | −0.116602 | − | 0.993179i | \(-0.537200\pi\) |
0.881925 | + | 0.471390i | \(0.156248\pi\) | |||||||
\(770\) | −17.3301 | + | 3.95549i | −0.624535 | + | 0.142546i | ||||
\(771\) | 0.445676 | + | 2.95687i | 0.0160506 | + | 0.106489i | ||||
\(772\) | 5.48269 | + | 4.37230i | 0.197327 | + | 0.157363i | ||||
\(773\) | 32.3879 | 1.16491 | 0.582455 | − | 0.812863i | \(-0.302092\pi\) | ||||
0.582455 | + | 0.812863i | \(0.302092\pi\) | |||||||
\(774\) | −7.10959 | + | 0.989717i | −0.255549 | + | 0.0355746i | ||||
\(775\) | − | 16.2420i | − | 0.583430i | ||||||
\(776\) | −17.9933 | − | 14.3492i | −0.645921 | − | 0.515105i | ||||
\(777\) | −2.47615 | − | 16.4282i | −0.0888315 | − | 0.589359i | ||||
\(778\) | −6.05297 | − | 26.5198i | −0.217010 | − | 0.950781i | ||||
\(779\) | −10.0066 | − | 14.6769i | −0.358522 | − | 0.525855i | ||||
\(780\) | 1.92255 | − | 3.32995i | 0.0688383 | − | 0.119231i | ||||
\(781\) | −13.2763 | − | 22.9952i | −0.475062 | − | 0.822832i | ||||
\(782\) | 5.69903 | − | 5.01554i | 0.203797 | − | 0.179355i | ||||
\(783\) | −47.5120 | + | 14.6555i | −1.69794 | + | 0.523745i | ||||
\(784\) | −1.11778 | + | 14.9157i | −0.0399207 | + | 0.532704i | ||||
\(785\) | −54.0603 | − | 12.3389i | −1.92949 | − | 0.440395i | ||||
\(786\) | −3.98718 | − | 10.1592i | −0.142218 | − | 0.362365i | ||||
\(787\) | −31.5511 | + | 2.36443i | −1.12468 | + | 0.0842828i | −0.624052 | − | 0.781383i | \(-0.714515\pi\) |
−0.500623 | + | 0.865665i | \(0.666896\pi\) | |||||||
\(788\) | 1.93362 | − | 12.8287i | 0.0688824 | − | 0.457005i | ||||
\(789\) | 18.6483 | + | 20.0981i | 0.663897 | + | 0.715511i | ||||
\(790\) | 2.81083 | − | 1.35363i | 0.100005 | − | 0.0481599i | ||||
\(791\) | 7.66890 | + | 5.22856i | 0.272675 | + | 0.185906i | ||||
\(792\) | 11.4661 | + | 4.50012i | 0.407431 | + | 0.159905i | ||||
\(793\) | −2.25076 | + | 7.29680i | −0.0799270 | + | 0.259117i | ||||
\(794\) | 7.30391 | − | 7.87174i | 0.259206 | − | 0.279358i | ||||
\(795\) | −8.21906 | − | 10.3064i | −0.291500 | − | 0.365529i | ||||
\(796\) | −0.464184 | + | 0.370174i | −0.0164526 | + | 0.0131205i | ||||
\(797\) | 4.20436 | + | 3.90107i | 0.148926 | + | 0.138183i | 0.751118 | − | 0.660169i | \(-0.229515\pi\) |
−0.602191 | + | 0.798352i | \(0.705706\pi\) | |||||||
\(798\) | −7.54953 | − | 2.32872i | −0.267251 | − | 0.0824359i | ||||
\(799\) | −29.7834 | + | 30.4518i | −1.05366 | + | 1.07731i | ||||
\(800\) | 7.13095 | + | 4.86180i | 0.252117 | + | 0.171891i | ||||
\(801\) | −1.38086 | + | 0.664986i | −0.0487902 | + | 0.0234961i | ||||
\(802\) | 23.9324 | + | 25.7929i | 0.845081 | + | 0.910780i | ||||
\(803\) | 58.6760 | + | 8.84398i | 2.07063 | + | 0.312097i | ||||
\(804\) | 5.69356 | − | 0.426674i | 0.200796 | − | 0.0150476i | ||||
\(805\) | −4.66577 | + | 1.83118i | −0.164447 | + | 0.0645406i | ||||
\(806\) | 11.4937 | + | 2.62336i | 0.404849 | + | 0.0924041i | ||||
\(807\) | 2.91598 | − | 38.9110i | 0.102647 | − | 1.36973i | ||||
\(808\) | −48.3782 | + | 14.9227i | −1.70194 | + | 0.524979i | ||||
\(809\) | 6.03318 | − | 12.5280i | 0.212115 | − | 0.440462i | −0.767580 | − | 0.640953i | \(-0.778539\pi\) |
0.979696 | + | 0.200491i | \(0.0642537\pi\) | |||||||
\(810\) | 16.2107 | − | 9.35925i | 0.569586 | − | 0.328850i | ||||
\(811\) | −15.8454 | − | 9.14836i | −0.556408 | − | 0.321242i | 0.195294 | − | 0.980745i | \(-0.437434\pi\) |
−0.751703 | + | 0.659502i | \(0.770767\pi\) | |||||||
\(812\) | 4.51471 | − | 3.07807i | 0.158435 | − | 0.108019i | ||||
\(813\) | −36.6768 | + | 8.37124i | −1.28631 | + | 0.293592i | ||||
\(814\) | 52.2706 | − | 7.87853i | 1.83208 | − | 0.276142i | ||||
\(815\) | −6.16815 | + | 7.73461i | −0.216061 | + | 0.270932i | ||||
\(816\) | 6.17869 | − | 14.6016i | 0.216297 | − | 0.511159i | ||||
\(817\) | −5.33919 | − | 24.6721i | −0.186794 | − | 0.863166i | ||||
\(818\) | 10.2278 | 0.357607 | ||||||||
\(819\) | −1.46344 | − | 1.16705i | −0.0511366 | − | 0.0407801i | ||||
\(820\) | −6.83716 | + | 1.03054i | −0.238764 | + | 0.0359879i | ||||
\(821\) | −33.0878 | + | 7.55208i | −1.15477 | + | 0.263569i | −0.756686 | − | 0.653779i | \(-0.773183\pi\) |
−0.398087 | + | 0.917348i | \(0.630326\pi\) | |||||||
\(822\) | 6.10613 | + | 8.95605i | 0.212976 | + | 0.312378i | ||||
\(823\) | 28.7212 | + | 16.5822i | 1.00116 | + | 0.578020i | 0.908591 | − | 0.417687i | \(-0.137159\pi\) |
0.0925685 | + | 0.995706i | \(0.470492\pi\) | |||||||
\(824\) | −23.4306 | − | 40.5830i | −0.816244 | − | 1.41378i | ||||
\(825\) | 17.1616 | + | 8.26460i | 0.597491 | + | 0.287736i | ||||
\(826\) | −4.24933 | − | 13.7760i | −0.147853 | − | 0.479328i | ||||
\(827\) | 47.3039 | + | 3.54494i | 1.64492 | + | 0.123270i | 0.864717 | − | 0.502260i | \(-0.167498\pi\) |
0.780201 | + | 0.625529i | \(0.215117\pi\) | |||||||
\(828\) | 0.710546 | + | 0.162177i | 0.0246932 | + | 0.00563605i | ||||
\(829\) | −12.9137 | − | 32.9037i | −0.448513 | − | 1.14279i | −0.959125 | − | 0.282981i | \(-0.908677\pi\) |
0.510613 | − | 0.859811i | \(-0.329419\pi\) | |||||||
\(830\) | 53.7303 | − | 4.02653i | 1.86501 | − | 0.139763i | ||||
\(831\) | 43.6144 | + | 6.57381i | 1.51297 | + | 0.228043i | ||||
\(832\) | −11.4919 | + | 10.6629i | −0.398409 | + | 0.369670i | ||||
\(833\) | 23.1957 | − | 1.12578i | 0.803684 | − | 0.0390059i | ||||
\(834\) | −16.7530 | − | 11.4220i | −0.580111 | − | 0.395513i | ||||
\(835\) | 12.5513 | − | 31.9801i | 0.434355 | − | 1.10672i | ||||
\(836\) | −2.67923 | + | 8.68584i | −0.0926630 | + | 0.300406i | ||||
\(837\) | −22.7424 | − | 21.1018i | −0.786091 | − | 0.729386i | ||||
\(838\) | −23.6242 | + | 18.8396i | −0.816083 | + | 0.650805i | ||||
\(839\) | −7.62596 | + | 6.08150i | −0.263278 | + | 0.209957i | −0.746227 | − | 0.665691i | \(-0.768137\pi\) |
0.482950 | + | 0.875648i | \(0.339565\pi\) | |||||||
\(840\) | −9.96803 | + | 10.7430i | −0.343930 | + | 0.370668i | ||||
\(841\) | −46.2393 | − | 14.2629i | −1.59446 | − | 0.491825i | ||||
\(842\) | −5.26891 | + | 13.4250i | −0.181579 | + | 0.462655i | ||||
\(843\) | −20.3810 | + | 29.8935i | −0.701960 | + | 1.02959i | ||||
\(844\) | −2.20808 | − | 4.58512i | −0.0760052 | − | 0.157826i | ||||
\(845\) | 18.9193 | + | 20.3901i | 0.650843 | + | 0.701442i | ||||
\(846\) | 11.1825 | + | 1.68549i | 0.384461 | + | 0.0579482i | ||||
\(847\) | −10.2198 | + | 0.765868i | −0.351156 | + | 0.0263155i | ||||
\(848\) | 3.13077 | + | 7.97708i | 0.107511 | + | 0.273934i | ||||
\(849\) | 2.60752 | − | 11.4243i | 0.0894898 | − | 0.392081i | ||||
\(850\) | −6.76360 | + | 13.1485i | −0.231990 | + | 0.450988i | ||||
\(851\) | 14.2430 | − | 4.39339i | 0.488245 | − | 0.150604i | ||||
\(852\) | −4.13873 | − | 1.99311i | −0.141791 | − | 0.0682828i | ||||
\(853\) | −10.1195 | + | 5.84252i | −0.346486 | + | 0.200044i | −0.663137 | − | 0.748498i | \(-0.730775\pi\) |
0.316650 | + | 0.948542i | \(0.397442\pi\) | |||||||
\(854\) | 3.05360 | − | 5.28899i | 0.104492 | − | 0.180985i | ||||
\(855\) | −5.52561 | − | 8.10458i | −0.188972 | − | 0.277171i | ||||
\(856\) | 11.6429 | − | 2.65743i | 0.397948 | − | 0.0908290i | ||||
\(857\) | −1.02763 | − | 6.81790i | −0.0351033 | − | 0.232895i | 0.964399 | − | 0.264453i | \(-0.0851913\pi\) |
−0.999502 | + | 0.0315577i | \(0.989953\pi\) | |||||||
\(858\) | −8.62037 | + | 10.8096i | −0.294294 | + | 0.369034i | ||||
\(859\) | 24.1841 | 0.825150 | 0.412575 | − | 0.910924i | \(-0.364630\pi\) | ||||
0.412575 | + | 0.910924i | \(0.364630\pi\) | |||||||
\(860\) | −9.55418 | − | 2.29436i | −0.325795 | − | 0.0782370i | ||||
\(861\) | − | 7.81404i | − | 0.266302i | ||||||
\(862\) | 17.5556 | + | 14.0001i | 0.597946 | + | 0.476846i | ||||
\(863\) | −24.4699 | + | 3.68825i | −0.832965 | + | 0.125549i | −0.551660 | − | 0.834069i | \(-0.686005\pi\) |
−0.281305 | + | 0.959618i | \(0.590767\pi\) | |||||||
\(864\) | 16.0722 | − | 3.66838i | 0.546788 | − | 0.124801i | ||||
\(865\) | −29.9560 | + | 20.4236i | −1.01853 | + | 0.694425i | ||||
\(866\) | −9.28434 | + | 16.0810i | −0.315495 | + | 0.546453i | ||||
\(867\) | −23.6781 | − | 6.73209i | −0.804150 | − | 0.228634i | ||||
\(868\) | 3.07182 | + | 1.47931i | 0.104264 | + | 0.0502111i | ||||
\(869\) | 3.87617 | − | 1.19564i | 0.131490 | − | 0.0405593i | ||||
\(870\) | 43.4330 | + | 3.25486i | 1.47252 | + | 0.110350i | ||||
\(871\) | 2.92740 | − | 12.8258i | 0.0991913 | − | 0.434585i | ||||
\(872\) | 21.3936 | − | 8.39637i | 0.724478 | − | 0.284337i | ||||
\(873\) | 6.75712 | − | 0.506376i | 0.228694 | − | 0.0171382i | ||||
\(874\) | 1.05642 | − | 7.00888i | 0.0357339 | − | 0.237079i | ||||
\(875\) | −4.93621 | + | 4.58014i | −0.166874 | + | 0.154837i | ||||
\(876\) | 9.24910 | − | 4.45413i | 0.312498 | − | 0.150491i | ||||
\(877\) | 20.9070 | − | 30.6650i | 0.705980 | − | 1.03548i | −0.290916 | − | 0.956749i | \(-0.593960\pi\) |
0.996896 | − | 0.0787334i | \(-0.0250876\pi\) | |||||||
\(878\) | −10.6319 | − | 4.17273i | −0.358811 | − | 0.140823i | ||||
\(879\) | 2.39214 | − | 7.75512i | 0.0806848 | − | 0.261574i | ||||
\(880\) | −24.4153 | − | 22.6541i | −0.823038 | − | 0.763668i | ||||
\(881\) | 28.7316 | − | 22.9127i | 0.967994 | − | 0.771949i | −0.00565942 | − | 0.999984i | \(-0.501801\pi\) |
0.973653 | + | 0.228035i | \(0.0732300\pi\) | |||||||
\(882\) | −3.84416 | − | 4.82042i | −0.129440 | − | 0.162312i | ||||
\(883\) | −27.5376 | − | 25.5512i | −0.926714 | − | 0.859865i | 0.0637037 | − | 0.997969i | \(-0.479709\pi\) |
−0.990418 | + | 0.138104i | \(0.955899\pi\) | |||||||
\(884\) | 2.96947 | + | 2.49863i | 0.0998742 | + | 0.0840380i | ||||
\(885\) | −15.1808 | + | 38.6800i | −0.510297 | + | 1.30021i | ||||
\(886\) | 2.22841 | + | 1.51930i | 0.0748648 | + | 0.0510419i | ||||
\(887\) | −22.2665 | − | 46.2368i | −0.747635 | − | 1.55248i | −0.831198 | − | 0.555977i | \(-0.812344\pi\) |
0.0835633 | − | 0.996502i | \(-0.473370\pi\) | |||||||
\(888\) | 31.9471 | − | 29.6426i | 1.07207 | − | 0.994739i | ||||
\(889\) | −0.783908 | + | 5.20089i | −0.0262914 | + | 0.174432i | ||||
\(890\) | 5.78569 | − | 0.433577i | 0.193937 | − | 0.0145335i | ||||
\(891\) | 22.6556 | − | 8.89167i | 0.758991 | − | 0.297882i | ||||
\(892\) | −1.85780 | + | 8.13955i | −0.0622037 | + | 0.272532i | ||||
\(893\) | −2.97196 | + | 39.6581i | −0.0994529 | + | 1.32711i | ||||
\(894\) | −9.47153 | − | 30.7059i | −0.316775 | − | 1.02696i | ||||
\(895\) | −6.53528 | + | 13.5706i | −0.218450 | + | 0.453617i | ||||
\(896\) | 4.95024 | − | 2.85802i | 0.165376 | − | 0.0954797i | ||||
\(897\) | −1.94926 | + | 3.37621i | −0.0650838 | + | 0.112729i | ||||
\(898\) | 8.03798 | + | 11.7895i | 0.268231 | + | 0.393422i | ||||
\(899\) | −10.7451 | − | 47.0776i | −0.358371 | − | 1.57012i | ||||
\(900\) | −1.40363 | + | 0.211563i | −0.0467877 | + | 0.00705211i | ||||
\(901\) | 11.6934 | − | 6.34710i | 0.389562 | − | 0.211452i | ||||
\(902\) | 24.8624 | 0.827828 | ||||||||
\(903\) | 4.17318 | − | 10.2903i | 0.138875 | − | 0.342438i | ||||
\(904\) | 24.3476i | 0.809788i | ||||||||
\(905\) | −21.1515 | + | 26.5231i | −0.703100 | + | 0.881659i | ||||
\(906\) | −2.75605 | − | 18.2852i | −0.0915638 | − | 0.607486i | ||||
\(907\) | −40.2704 | + | 9.19146i | −1.33716 | + | 0.305198i | −0.830533 | − | 0.556969i | \(-0.811964\pi\) |
−0.506625 | + | 0.862167i | \(0.669107\pi\) | |||||||
\(908\) | 1.29459 | + | 1.89882i | 0.0429625 | + | 0.0630144i | ||||
\(909\) | 7.45310 | − | 12.9091i | 0.247204 | − | 0.428169i | ||||
\(910\) | 3.54293 | + | 6.13653i | 0.117447 | + | 0.203424i | ||||
\(911\) | 7.48182 | − | 15.5362i | 0.247884 | − | 0.514736i | −0.739485 | − | 0.673173i | \(-0.764931\pi\) |
0.987369 | + | 0.158437i | \(0.0506453\pi\) | |||||||
\(912\) | −4.36330 | − | 14.1455i | −0.144483 | − | 0.468403i | ||||
\(913\) | 69.8607 | + | 5.23534i | 2.31205 | + | 0.173264i | ||||
\(914\) | 9.41052 | − | 41.2302i | 0.311272 | − | 1.36377i | ||||
\(915\) | −16.3859 | + | 6.43098i | −0.541700 | + | 0.212602i | ||||
\(916\) | 0.581835 | + | 7.76405i | 0.0192244 | + | 0.256531i | ||||
\(917\) | −7.19115 | − | 1.08389i | −0.237473 | − | 0.0357933i | ||||
\(918\) | 9.62337 | + | 26.5532i | 0.317619 | + | 0.876386i | ||||
\(919\) | 14.5761 | − | 7.01946i | 0.480820 | − | 0.231551i | −0.177742 | − | 0.984077i | \(-0.556879\pi\) |
0.658562 | + | 0.752527i | \(0.271165\pi\) | |||||||
\(920\) | −10.8634 | − | 7.40655i | −0.358156 | − | 0.244187i | ||||
\(921\) | 31.2256 | + | 12.2551i | 1.02892 | + | 0.403820i | ||||
\(922\) | −12.5025 | − | 3.85652i | −0.411749 | − | 0.127008i | ||||
\(923\) | −7.19927 | + | 7.75896i | −0.236967 | + | 0.255389i | ||||
\(924\) | −3.12613 | + | 2.49301i | −0.102842 | + | 0.0820140i | ||||
\(925\) | −22.6967 | + | 18.1000i | −0.746264 | + | 0.595126i | ||||
\(926\) | 32.3159 | + | 29.9848i | 1.06197 | + | 0.985361i | ||||
\(927\) | 13.1843 | + | 4.06683i | 0.433031 | + | 0.133572i | ||||
\(928\) | 23.8855 | + | 9.37437i | 0.784080 | + | 0.307729i | ||||
\(929\) | 12.3590 | − | 18.1273i | 0.405486 | − | 0.594738i | −0.568128 | − | 0.822940i | \(-0.692332\pi\) |
0.973614 | + | 0.228202i | \(0.0732846\pi\) | |||||||
\(930\) | 11.7916 | + | 24.4854i | 0.386661 | + | 0.802909i | ||||
\(931\) | 15.8942 | − | 14.7477i | 0.520911 | − | 0.483335i | ||||
\(932\) | 2.06826 | − | 13.7220i | 0.0677482 | − | 0.449480i | ||||
\(933\) | 1.30311 | + | 17.3888i | 0.0426620 | + | 0.569285i | ||||
\(934\) | −1.06672 | − | 2.71795i | −0.0349040 | − | 0.0889340i | ||||
\(935\) | −30.2436 | + | 41.9449i | −0.989073 | + | 1.37175i | ||||
\(936\) | 0.366931 | − | 4.89635i | 0.0119935 | − | 0.160042i | ||||
\(937\) | 27.3997 | − | 8.45167i | 0.895108 | − | 0.276104i | 0.187127 | − | 0.982336i | \(-0.440082\pi\) |
0.707981 | + | 0.706232i | \(0.249606\pi\) | |||||||
\(938\) | −4.56519 | + | 9.47971i | −0.149059 | + | 0.309523i | ||||
\(939\) | 9.16583 | + | 15.8757i | 0.299116 | + | 0.518084i | ||||
\(940\) | 13.4061 | + | 7.74002i | 0.437259 | + | 0.252452i | ||||
\(941\) | 18.8929 | + | 27.7108i | 0.615891 | + | 0.903346i | 0.999799 | − | 0.0200250i | \(-0.00637457\pi\) |
−0.383908 | + | 0.923371i | \(0.625422\pi\) | |||||||
\(942\) | 33.6294 | − | 7.67569i | 1.09570 | − | 0.250087i | ||||
\(943\) | 6.93215 | − | 1.04485i | 0.225742 | − | 0.0340251i | ||||
\(944\) | 16.8417 | − | 21.1188i | 0.548150 | − | 0.687359i | ||||
\(945\) | − | 18.6468i | − | 0.606582i | ||||||
\(946\) | 32.7411 | + | 13.2781i | 1.06451 | + | 0.431707i | ||||
\(947\) | 16.5034i | 0.536289i | 0.963379 | + | 0.268144i | \(0.0864104\pi\) | ||||
−0.963379 | + | 0.268144i | \(0.913590\pi\) | |||||||
\(948\) | 0.437542 | − | 0.548660i | 0.0142107 | − | 0.0178197i | ||||
\(949\) | −3.52542 | − | 23.3896i | −0.114440 | − | 0.759260i | ||||
\(950\) | 3.07192 | + | 13.4589i | 0.0996661 | + | 0.436666i | ||||
\(951\) | −9.16414 | + | 6.24801i | −0.297168 | + | 0.202605i | ||||
\(952\) | −8.91493 | − | 11.8029i | −0.288935 | − | 0.382535i | ||||
\(953\) | 6.59489 | + | 11.4227i | 0.213629 | + | 0.370017i | 0.952848 | − | 0.303449i | \(-0.0981382\pi\) |
−0.739218 | + | 0.673466i | \(0.764805\pi\) | |||||||
\(954\) | −3.18255 | − | 1.53263i | −0.103039 | − | 0.0496208i | ||||
\(955\) | 4.53373 | + | 14.6980i | 0.146708 | + | 0.475616i | ||||
\(956\) | 0.853554 | − | 11.3899i | 0.0276059 | − | 0.368375i | ||||
\(957\) | 55.2106 | + | 12.6015i | 1.78471 | + | 0.407347i | ||||
\(958\) | −0.718212 | + | 0.281877i | −0.0232044 | + | 0.00910705i | ||||
\(959\) | 7.20285 | − | 0.539779i | 0.232592 | − | 0.0174304i | ||||
\(960\) | −35.7346 | − | 5.38612i | −1.15333 | − | 0.173836i | ||||
\(961\) | −0.637535 | + | 0.591546i | −0.0205656 | + | 0.0190821i | ||||
\(962\) | −9.14264 | − | 18.9849i | −0.294771 | − | 0.612098i | ||||
\(963\) | −1.98074 | + | 2.90521i | −0.0638283 | + | 0.0936190i | ||||
\(964\) | −3.44151 | − | 1.35069i | −0.110843 | − | 0.0435029i | ||||
\(965\) | 35.5932 | + | 10.9790i | 1.14578 | + | 0.353428i | ||||
\(966\) | 2.12076 | − | 2.28564i | 0.0682344 | − | 0.0735392i | ||||
\(967\) | −25.6082 | − | 32.1117i | −0.823504 | − | 1.03264i | −0.998841 | − | 0.0481328i | \(-0.984673\pi\) |
0.175337 | − | 0.984508i | \(-0.443898\pi\) | |||||||
\(968\) | −16.7616 | − | 21.0184i | −0.538739 | − | 0.675557i | ||||
\(969\) | −20.9623 | + | 9.42400i | −0.673407 | + | 0.302743i | ||||
\(970\) | −24.5117 | − | 7.56085i | −0.787023 | − | 0.242764i | ||||
\(971\) | 7.73709 | − | 19.7138i | 0.248295 | − | 0.632646i | −0.751333 | − | 0.659924i | \(-0.770589\pi\) |
0.999628 | + | 0.0272779i | \(0.00868390\pi\) | |||||||
\(972\) | −2.70133 | + | 3.96212i | −0.0866451 | + | 0.127085i | ||||
\(973\) | −12.1733 | + | 5.86234i | −0.390257 | + | 0.187938i | ||||
\(974\) | −26.7157 | − | 28.7926i | −0.856025 | − | 0.922576i | ||||
\(975\) | 1.13167 | − | 7.50815i | 0.0362425 | − | 0.240453i | ||||
\(976\) | 11.4110 | − | 0.855135i | 0.365257 | − | 0.0273722i | ||||
\(977\) | −14.0475 | − | 35.7925i | −0.449420 | − | 1.14510i | −0.958679 | − | 0.284491i | \(-0.908176\pi\) |
0.509258 | − | 0.860614i | \(-0.329920\pi\) | |||||||
\(978\) | 1.36942 | − | 5.99982i | 0.0437892 | − | 0.191853i | ||||
\(979\) | 7.52261 | + | 0.563742i | 0.240424 | + | 0.0180173i | ||||
\(980\) | −2.48765 | − | 8.06477i | −0.0794651 | − | 0.257620i | ||||
\(981\) | −2.93594 | + | 6.09654i | −0.0937374 | + | 0.194648i | ||||
\(982\) | −4.97185 | − | 8.61150i | −0.158658 | − | 0.274804i | ||||
\(983\) | −11.6597 | − | 6.73171i | −0.371885 | − | 0.214708i | 0.302396 | − | 0.953182i | \(-0.402213\pi\) |
−0.674282 | + | 0.738474i | \(0.735547\pi\) | |||||||
\(984\) | 16.9359 | − | 11.5467i | 0.539898 | − | 0.368096i | ||||
\(985\) | −15.3340 | − | 67.1825i | −0.488581 | − | 2.14061i | ||||
\(986\) | −10.9058 | + | 42.5855i | −0.347311 | + | 1.35620i | ||||
\(987\) | −10.9075 | + | 13.6775i | −0.347188 | + | 0.435360i | ||||
\(988\) | 3.62336 | 0.115274 | ||||||||
\(989\) | 9.68692 | + | 2.32624i | 0.308026 | + | 0.0739700i | ||||
\(990\) | 13.7290 | 0.436336 | ||||||||
\(991\) | −29.3665 | − | 23.4190i | −0.932857 | − | 0.743929i | 0.0339533 | − | 0.999423i | \(-0.489190\pi\) |
−0.966810 | + | 0.255495i | \(0.917762\pi\) | |||||||
\(992\) | 2.38625 | + | 15.8317i | 0.0757634 | + | 0.502657i | ||||
\(993\) | 26.4610 | − | 6.03956i | 0.839715 | − | 0.191660i | ||||
\(994\) | 6.99436 | − | 4.76867i | 0.221848 | − | 0.151253i | ||||
\(995\) | −1.57677 | + | 2.73105i | −0.0499870 | + | 0.0865801i | ||||
\(996\) | 10.4962 | − | 6.05997i | 0.332584 | − | 0.192017i | ||||
\(997\) | 3.33712 | − | 6.92959i | 0.105688 | − | 0.219462i | −0.841418 | − | 0.540385i | \(-0.818279\pi\) |
0.947105 | + | 0.320923i | \(0.103993\pi\) | |||||||
\(998\) | −5.21775 | − | 16.9155i | −0.165165 | − | 0.535452i | ||||
\(999\) | −4.14388 | + | 55.2962i | −0.131107 | + | 1.74950i |
(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 | 731.2.z.a.67.20 | yes | 768 | |
17.16 | even | 2 | inner | 731.2.z.a.67.19 | ✓ | 768 | |
43.9 | even | 21 | inner | 731.2.z.a.611.19 | yes | 768 | |
731.611 | even | 42 | inner | 731.2.z.a.611.20 | yes | 768 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
731.2.z.a.67.19 | ✓ | 768 | 17.16 | even | 2 | inner | |
731.2.z.a.67.20 | yes | 768 | 1.1 | even | 1 | trivial | |
731.2.z.a.611.19 | yes | 768 | 43.9 | even | 21 | inner | |
731.2.z.a.611.20 | yes | 768 | 731.611 | even | 42 | inner |