Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [135,2,Mod(2,135)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(135, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([2, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("135.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 135 = 3^{3} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 135.q (of order \(36\), 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: | \(1.07798042729\) |
Analytic rank: | \(0\) |
Dimension: | \(192\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 32.10 | ||
Character | \(\chi\) | \(=\) | 135.32 |
Dual form | 135.2.q.a.38.10 |
$q$-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 \(\left(\mathbb{Z}/135\mathbb{Z}\right)^\times\).
\(n\) | \(56\) | \(82\) |
\(\chi(n)\) | \(e\left(\frac{5}{18}\right)\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.0559313 | − | 0.639298i | 0.0395494 | − | 0.452052i | −0.950440 | − | 0.310909i | \(-0.899367\pi\) |
0.989989 | − | 0.141143i | \(-0.0450777\pi\) | |||||||
\(3\) | 0.432570 | − | 1.67717i | 0.249745 | − | 0.968312i | ||||
\(4\) | 1.56404 | + | 0.275783i | 0.782021 | + | 0.137891i | ||||
\(5\) | 2.15338 | + | 0.602474i | 0.963019 | + | 0.269434i | ||||
\(6\) | −1.04801 | − | 0.370347i | −0.427850 | − | 0.151194i | ||||
\(7\) | −2.47086 | + | 3.52875i | −0.933897 | + | 1.33374i | 0.00875387 | + | 0.999962i | \(0.497214\pi\) |
−0.942651 | + | 0.333781i | \(0.891675\pi\) | |||||||
\(8\) | 0.595975 | − | 2.22421i | 0.210709 | − | 0.786377i | ||||
\(9\) | −2.62577 | − | 1.45098i | −0.875255 | − | 0.483661i | ||||
\(10\) | 0.505601 | − | 1.34295i | 0.159885 | − | 0.424678i | ||||
\(11\) | −0.157893 | + | 0.433806i | −0.0476064 | + | 0.130798i | −0.961217 | − | 0.275792i | \(-0.911060\pi\) |
0.913611 | + | 0.406590i | \(0.133282\pi\) | |||||||
\(12\) | 1.13909 | − | 2.50386i | 0.328828 | − | 0.722803i | ||||
\(13\) | −5.28596 | + | 0.462462i | −1.46606 | + | 0.128264i | −0.792050 | − | 0.610457i | \(-0.790986\pi\) |
−0.674012 | + | 0.738720i | \(0.735430\pi\) | |||||||
\(14\) | 2.11772 | + | 1.77698i | 0.565986 | + | 0.474918i | ||||
\(15\) | 1.94193 | − | 3.35095i | 0.501405 | − | 0.865213i | ||||
\(16\) | 1.59619 | + | 0.580964i | 0.399047 | + | 0.145241i | ||||
\(17\) | −1.32114 | − | 4.93057i | −0.320424 | − | 1.19584i | −0.918833 | − | 0.394647i | \(-0.870867\pi\) |
0.598409 | − | 0.801191i | \(-0.295800\pi\) | |||||||
\(18\) | −1.07447 | + | 1.59749i | −0.253256 | + | 0.376532i | ||||
\(19\) | −1.03667 | + | 0.598524i | −0.237829 | + | 0.137311i | −0.614179 | − | 0.789167i | \(-0.710513\pi\) |
0.376349 | + | 0.926478i | \(0.377179\pi\) | |||||||
\(20\) | 3.20182 | + | 1.53616i | 0.715948 | + | 0.343495i | ||||
\(21\) | 4.84948 | + | 5.67047i | 1.05824 | + | 1.23740i | ||||
\(22\) | 0.268500 | + | 0.125204i | 0.0572444 | + | 0.0266935i | ||||
\(23\) | −2.25381 | + | 1.57814i | −0.469952 | + | 0.329064i | −0.784448 | − | 0.620195i | \(-0.787054\pi\) |
0.314496 | + | 0.949259i | \(0.398165\pi\) | |||||||
\(24\) | −3.47256 | − | 1.96168i | −0.708834 | − | 0.400425i | ||||
\(25\) | 4.27405 | + | 2.59470i | 0.854810 | + | 0.518941i | ||||
\(26\) | 3.40517i | 0.667808i | ||||||||
\(27\) | −3.56937 | + | 3.77619i | −0.686925 | + | 0.726728i | ||||
\(28\) | −4.83770 | + | 4.83770i | −0.914239 | + | 0.914239i | ||||
\(29\) | 0.00462297 | − | 0.00387914i | 0.000858465 | − | 0.000720337i | −0.642358 | − | 0.766404i | \(-0.722044\pi\) |
0.643217 | + | 0.765684i | \(0.277599\pi\) | |||||||
\(30\) | −2.03364 | − | 1.42890i | −0.371290 | − | 0.260880i | ||||
\(31\) | −0.387533 | + | 2.19781i | −0.0696030 | + | 0.394738i | 0.930026 | + | 0.367494i | \(0.119784\pi\) |
−0.999629 | + | 0.0272441i | \(0.991327\pi\) | |||||||
\(32\) | 2.40699 | − | 5.16180i | 0.425499 | − | 0.912486i | ||||
\(33\) | 0.659265 | + | 0.452464i | 0.114763 | + | 0.0787638i | ||||
\(34\) | −3.22599 | + | 0.568830i | −0.553253 | + | 0.0975535i | ||||
\(35\) | −7.44667 | + | 6.11010i | −1.25872 | + | 1.03280i | ||||
\(36\) | −3.70665 | − | 2.99354i | −0.617775 | − | 0.498924i | ||||
\(37\) | 7.25290 | − | 1.94341i | 1.19237 | − | 0.319494i | 0.392547 | − | 0.919732i | \(-0.371594\pi\) |
0.799822 | + | 0.600238i | \(0.204927\pi\) | |||||||
\(38\) | 0.324653 | + | 0.696220i | 0.0526656 | + | 0.112942i | ||||
\(39\) | −1.51093 | + | 9.06548i | −0.241942 | + | 1.45164i | ||||
\(40\) | 2.62339 | − | 4.43050i | 0.414794 | − | 0.700523i | ||||
\(41\) | 3.02828 | − | 3.60897i | 0.472939 | − | 0.563626i | −0.475855 | − | 0.879524i | \(-0.657861\pi\) |
0.948793 | + | 0.315898i | \(0.102306\pi\) | |||||||
\(42\) | 3.89636 | − | 2.78310i | 0.601221 | − | 0.429442i | ||||
\(43\) | 1.72881 | − | 0.806157i | 0.263641 | − | 0.122938i | −0.286304 | − | 0.958139i | \(-0.592427\pi\) |
0.549945 | + | 0.835201i | \(0.314649\pi\) | |||||||
\(44\) | −0.366587 | + | 0.634947i | −0.0552651 | + | 0.0957219i | ||||
\(45\) | −4.78008 | − | 4.70647i | −0.712572 | − | 0.701599i | ||||
\(46\) | 0.882840 | + | 1.52912i | 0.130168 | + | 0.225457i | ||||
\(47\) | 9.24502 | + | 6.47343i | 1.34853 | + | 0.944247i | 0.999976 | + | 0.00695690i | \(0.00221447\pi\) |
0.348549 | + | 0.937290i | \(0.386674\pi\) | |||||||
\(48\) | 1.66484 | − | 2.42576i | 0.240298 | − | 0.350128i | ||||
\(49\) | −3.95281 | − | 10.8602i | −0.564687 | − | 1.55146i | ||||
\(50\) | 1.89784 | − | 2.58727i | 0.268395 | − | 0.365895i | ||||
\(51\) | −8.84086 | + | 0.0829548i | −1.23797 | + | 0.0116160i | ||||
\(52\) | −8.39501 | − | 0.734468i | −1.16418 | − | 0.101852i | ||||
\(53\) | −3.94023 | − | 3.94023i | −0.541233 | − | 0.541233i | 0.382657 | − | 0.923890i | \(-0.375009\pi\) |
−0.923890 | + | 0.382657i | \(0.875009\pi\) | |||||||
\(54\) | 2.21447 | + | 2.49310i | 0.301351 | + | 0.339267i | ||||
\(55\) | −0.601359 | + | 0.839022i | −0.0810872 | + | 0.113134i | ||||
\(56\) | 6.37611 | + | 7.59875i | 0.852044 | + | 1.01543i | ||||
\(57\) | 0.555389 | + | 1.99758i | 0.0735631 | + | 0.264586i | ||||
\(58\) | −0.00222135 | − | 0.00317242i | −0.000291678 | − | 0.000416559i | ||||
\(59\) | 0.388624 | − | 0.141448i | 0.0505945 | − | 0.0184149i | −0.316599 | − | 0.948559i | \(-0.602541\pi\) |
0.367193 | + | 0.930145i | \(0.380319\pi\) | |||||||
\(60\) | 3.96140 | − | 4.70548i | 0.511415 | − | 0.607475i | ||||
\(61\) | 0.399307 | + | 2.26458i | 0.0511260 | + | 0.289950i | 0.999641 | − | 0.0267812i | \(-0.00852575\pi\) |
−0.948515 | + | 0.316731i | \(0.897415\pi\) | |||||||
\(62\) | 1.38338 | + | 0.370675i | 0.175689 | + | 0.0470758i | ||||
\(63\) | 11.6081 | − | 5.68050i | 1.46248 | − | 0.715676i | ||||
\(64\) | −0.223194 | − | 0.128861i | −0.0278993 | − | 0.0161077i | ||||
\(65\) | −11.6613 | − | 2.18880i | −1.44640 | − | 0.271487i | ||||
\(66\) | 0.326133 | − | 0.396160i | 0.0401441 | − | 0.0487639i | ||||
\(67\) | −0.511475 | − | 5.84619i | −0.0624866 | − | 0.714226i | −0.961230 | − | 0.275750i | \(-0.911074\pi\) |
0.898743 | − | 0.438476i | \(-0.144482\pi\) | |||||||
\(68\) | −0.706556 | − | 8.07597i | −0.0856824 | − | 0.979355i | ||||
\(69\) | 1.67186 | + | 4.46267i | 0.201269 | + | 0.537242i | ||||
\(70\) | 3.48967 | + | 5.10238i | 0.417095 | + | 0.609851i | ||||
\(71\) | 0.648656 | + | 0.374502i | 0.0769813 | + | 0.0444452i | 0.537997 | − | 0.842947i | \(-0.319181\pi\) |
−0.461015 | + | 0.887392i | \(0.652515\pi\) | |||||||
\(72\) | −4.79218 | + | 4.97550i | −0.564764 | + | 0.586368i | ||||
\(73\) | 11.1032 | + | 2.97508i | 1.29953 | + | 0.348207i | 0.841271 | − | 0.540614i | \(-0.181808\pi\) |
0.458255 | + | 0.888821i | \(0.348475\pi\) | |||||||
\(74\) | −0.836752 | − | 4.74546i | −0.0972705 | − | 0.551648i | ||||
\(75\) | 6.20057 | − | 6.04590i | 0.715981 | − | 0.698120i | ||||
\(76\) | −1.78647 | + | 0.650220i | −0.204922 | + | 0.0745854i | ||||
\(77\) | −1.14066 | − | 1.62904i | −0.129991 | − | 0.185646i | ||||
\(78\) | 5.71103 | + | 1.47297i | 0.646647 | + | 0.166782i | ||||
\(79\) | 1.01095 | + | 1.20481i | 0.113741 | + | 0.135551i | 0.819911 | − | 0.572491i | \(-0.194023\pi\) |
−0.706170 | + | 0.708043i | \(0.749578\pi\) | |||||||
\(80\) | 3.08717 | + | 2.21269i | 0.345156 | + | 0.247387i | ||||
\(81\) | 4.78929 | + | 7.61989i | 0.532143 | + | 0.846654i | ||||
\(82\) | −2.13783 | − | 2.13783i | −0.236084 | − | 0.236084i | ||||
\(83\) | −10.6371 | − | 0.930629i | −1.16758 | − | 0.102150i | −0.513167 | − | 0.858289i | \(-0.671528\pi\) |
−0.654411 | + | 0.756139i | \(0.727083\pi\) | |||||||
\(84\) | 6.02097 | + | 10.2063i | 0.656942 | + | 1.11359i | ||||
\(85\) | 0.125623 | − | 11.4133i | 0.0136257 | − | 1.23795i | ||||
\(86\) | −0.418680 | − | 1.15031i | −0.0451474 | − | 0.124041i | ||||
\(87\) | −0.00450619 | − | 0.00943149i | −0.000483114 | − | 0.00101116i | ||||
\(88\) | 0.870776 | + | 0.609724i | 0.0928250 | + | 0.0649968i | ||||
\(89\) | −6.36010 | − | 11.0160i | −0.674169 | − | 1.16770i | −0.976711 | − | 0.214559i | \(-0.931168\pi\) |
0.302542 | − | 0.953136i | \(-0.402165\pi\) | |||||||
\(90\) | −3.27619 | + | 2.79265i | −0.345341 | + | 0.294372i | ||||
\(91\) | 11.4289 | − | 19.7955i | 1.19808 | − | 2.07513i | ||||
\(92\) | −3.96028 | + | 1.84671i | −0.412888 | + | 0.192533i | ||||
\(93\) | 3.51845 | + | 1.60066i | 0.364847 | + | 0.165981i | ||||
\(94\) | 4.65554 | − | 5.54825i | 0.480182 | − | 0.572259i | ||||
\(95\) | −2.59294 | + | 0.664279i | −0.266030 | + | 0.0681535i | ||||
\(96\) | −7.61600 | − | 6.26976i | −0.777305 | − | 0.639904i | ||||
\(97\) | −3.62057 | − | 7.76434i | −0.367613 | − | 0.788349i | −0.999907 | − | 0.0136208i | \(-0.995664\pi\) |
0.632294 | − | 0.774729i | \(-0.282114\pi\) | |||||||
\(98\) | −7.16401 | + | 1.91959i | −0.723675 | + | 0.193908i | ||||
\(99\) | 1.04404 | − | 0.909974i | 0.104929 | − | 0.0914558i | ||||
\(100\) | 5.96922 | + | 5.23694i | 0.596922 | + | 0.523694i | ||||
\(101\) | −15.4590 | + | 2.72585i | −1.53823 | + | 0.271232i | −0.877569 | − | 0.479450i | \(-0.840836\pi\) |
−0.660663 | + | 0.750682i | \(0.729725\pi\) | |||||||
\(102\) | −0.441448 | + | 5.65658i | −0.0437099 | + | 0.560085i | ||||
\(103\) | −5.91592 | + | 12.6867i | −0.582912 | + | 1.25006i | 0.364845 | + | 0.931068i | \(0.381122\pi\) |
−0.947758 | + | 0.318992i | \(0.896656\pi\) | |||||||
\(104\) | −2.12169 | + | 12.0327i | −0.208049 | + | 1.17990i | ||||
\(105\) | 7.02644 | + | 15.1323i | 0.685710 | + | 1.47676i | ||||
\(106\) | −2.73936 | + | 2.29860i | −0.266071 | + | 0.223260i | ||||
\(107\) | −2.86472 | + | 2.86472i | −0.276943 | + | 0.276943i | −0.831887 | − | 0.554945i | \(-0.812739\pi\) |
0.554945 | + | 0.831887i | \(0.312739\pi\) | |||||||
\(108\) | −6.62405 | + | 4.92175i | −0.637400 | + | 0.473596i | ||||
\(109\) | − | 6.64284i | − | 0.636269i | −0.948046 | − | 0.318134i | \(-0.896944\pi\) | ||
0.948046 | − | 0.318134i | \(-0.103056\pi\) | |||||||
\(110\) | 0.502750 | + | 0.431375i | 0.0479353 | + | 0.0411300i | ||||
\(111\) | −0.122027 | − | 13.0050i | −0.0115823 | − | 1.23438i | ||||
\(112\) | −5.99403 | + | 4.19706i | −0.566382 | + | 0.396585i | ||||
\(113\) | 6.36611 | + | 2.96857i | 0.598874 | + | 0.279259i | 0.698322 | − | 0.715783i | \(-0.253930\pi\) |
−0.0994488 | + | 0.995043i | \(0.531708\pi\) | |||||||
\(114\) | 1.30811 | − | 0.243332i | 0.122516 | − | 0.0227901i | ||||
\(115\) | −5.80409 | + | 2.04046i | −0.541234 | + | 0.190274i | ||||
\(116\) | 0.00830033 | − | 0.00479220i | 0.000770666 | − | 0.000444944i | ||||
\(117\) | 14.5507 | + | 6.45553i | 1.34521 | + | 0.596814i | ||||
\(118\) | −0.0686908 | − | 0.256358i | −0.00632350 | − | 0.0235996i | ||||
\(119\) | 20.6631 | + | 7.52076i | 1.89418 | + | 0.689427i | ||||
\(120\) | −6.29588 | − | 6.31635i | −0.574732 | − | 0.576601i | ||||
\(121\) | 8.26323 | + | 6.93367i | 0.751203 | + | 0.630334i | ||||
\(122\) | 1.47008 | − | 0.128615i | 0.133094 | − | 0.0116443i | ||||
\(123\) | −4.74289 | − | 6.64007i | −0.427652 | − | 0.598715i | ||||
\(124\) | −1.21224 | + | 3.33059i | −0.108862 | + | 0.299096i | ||||
\(125\) | 7.64040 | + | 8.16237i | 0.683378 | + | 0.730065i | ||||
\(126\) | −2.98227 | − | 7.73872i | −0.265682 | − | 0.689420i | ||||
\(127\) | −2.17007 | + | 8.09882i | −0.192563 | + | 0.718654i | 0.800322 | + | 0.599571i | \(0.204662\pi\) |
−0.992884 | + | 0.119083i | \(0.962005\pi\) | |||||||
\(128\) | 6.43865 | − | 9.19534i | 0.569102 | − | 0.812761i | ||||
\(129\) | −0.604227 | − | 3.24822i | −0.0531992 | − | 0.285990i | ||||
\(130\) | −2.05152 | + | 7.33260i | −0.179931 | + | 0.643112i | ||||
\(131\) | −11.2646 | − | 1.98625i | −0.984193 | − | 0.173540i | −0.341682 | − | 0.939816i | \(-0.610996\pi\) |
−0.642512 | + | 0.766276i | \(0.722108\pi\) | |||||||
\(132\) | 0.906337 | + | 0.889487i | 0.0788865 | + | 0.0774199i | ||||
\(133\) | 0.449432 | − | 5.13704i | 0.0389707 | − | 0.445437i | ||||
\(134\) | −3.76606 | −0.325338 | ||||||||
\(135\) | −9.96124 | + | 5.98110i | −0.857327 | + | 0.514771i | ||||
\(136\) | −11.7540 | −1.00790 | ||||||||
\(137\) | −0.898508 | + | 10.2700i | −0.0767647 | + | 0.877424i | 0.856009 | + | 0.516961i | \(0.172937\pi\) |
−0.932773 | + | 0.360463i | \(0.882619\pi\) | |||||||
\(138\) | 2.94648 | − | 0.819214i | 0.250821 | − | 0.0697362i | ||||
\(139\) | 1.70385 | + | 0.300434i | 0.144518 | + | 0.0254825i | 0.245439 | − | 0.969412i | \(-0.421068\pi\) |
−0.100921 | + | 0.994894i | \(0.532179\pi\) | |||||||
\(140\) | −13.3320 | + | 7.50279i | −1.12676 | + | 0.634102i | ||||
\(141\) | 14.8561 | − | 12.7052i | 1.25111 | − | 1.06997i | ||||
\(142\) | 0.275698 | − | 0.393738i | 0.0231361 | − | 0.0330417i | ||||
\(143\) | 0.633995 | − | 2.36610i | 0.0530173 | − | 0.197863i | ||||
\(144\) | −3.34824 | − | 3.84152i | −0.279020 | − | 0.320126i | ||||
\(145\) | 0.0122921 | − | 0.00556802i | 0.00102080 | − | 0.000462399i | ||||
\(146\) | 2.52298 | − | 6.93182i | 0.208803 | − | 0.573681i | ||||
\(147\) | −19.9243 | + | 1.93169i | −1.64333 | + | 0.159323i | ||||
\(148\) | 11.8798 | − | 1.03935i | 0.976513 | − | 0.0854339i | ||||
\(149\) | 3.51771 | + | 2.95171i | 0.288182 | + | 0.241813i | 0.775405 | − | 0.631464i | \(-0.217546\pi\) |
−0.487223 | + | 0.873277i | \(0.661990\pi\) | |||||||
\(150\) | −3.51832 | − | 4.30217i | −0.287270 | − | 0.351270i | ||||
\(151\) | −4.16351 | − | 1.51539i | −0.338821 | − | 0.123321i | 0.167005 | − | 0.985956i | \(-0.446590\pi\) |
−0.505827 | + | 0.862635i | \(0.668813\pi\) | |||||||
\(152\) | 0.713411 | + | 2.66249i | 0.0578653 | + | 0.215956i | ||||
\(153\) | −3.68517 | + | 14.8635i | −0.297928 | + | 1.20164i | ||||
\(154\) | −1.10524 | + | 0.638110i | −0.0890627 | + | 0.0514204i | ||||
\(155\) | −2.15863 | + | 4.49923i | −0.173385 | + | 0.361387i | ||||
\(156\) | −4.86326 | + | 13.7621i | −0.389372 | + | 1.10185i | ||||
\(157\) | 0.754412 | + | 0.351788i | 0.0602086 | + | 0.0280757i | 0.452489 | − | 0.891770i | \(-0.350536\pi\) |
−0.392281 | + | 0.919846i | \(0.628314\pi\) | |||||||
\(158\) | 0.826774 | − | 0.578913i | 0.0657746 | − | 0.0460559i | ||||
\(159\) | −8.31285 | + | 4.90400i | −0.659252 | + | 0.388912i | ||||
\(160\) | 8.29300 | − | 9.66515i | 0.655619 | − | 0.764097i | ||||
\(161\) | − | 11.8525i | − | 0.934107i | ||||||
\(162\) | 5.13925 | − | 2.63559i | 0.403777 | − | 0.207072i | ||||
\(163\) | −10.1572 | + | 10.1572i | −0.795571 | + | 0.795571i | −0.982394 | − | 0.186823i | \(-0.940181\pi\) |
0.186823 | + | 0.982394i | \(0.440181\pi\) | |||||||
\(164\) | 5.73166 | − | 4.80943i | 0.447567 | − | 0.375554i | ||||
\(165\) | 1.14705 | + | 1.37151i | 0.0892976 | + | 0.106772i | ||||
\(166\) | −1.18990 | + | 6.74824i | −0.0923540 | + | 0.523765i | ||||
\(167\) | 9.48250 | − | 20.3353i | 0.733778 | − | 1.57359i | −0.0829395 | − | 0.996555i | \(-0.526431\pi\) |
0.816718 | − | 0.577038i | \(-0.195791\pi\) | |||||||
\(168\) | 15.5025 | − | 7.40680i | 1.19604 | − | 0.571447i | ||||
\(169\) | 14.9250 | − | 2.63168i | 1.14808 | − | 0.202437i | ||||
\(170\) | −7.28948 | − | 0.718672i | −0.559078 | − | 0.0551196i | ||||
\(171\) | 3.59051 | − | 0.0673863i | 0.274573 | − | 0.00515316i | ||||
\(172\) | 2.92626 | − | 0.784088i | 0.223125 | − | 0.0597861i | ||||
\(173\) | −0.976093 | − | 2.09324i | −0.0742110 | − | 0.159146i | 0.865702 | − | 0.500559i | \(-0.166872\pi\) |
−0.939913 | + | 0.341413i | \(0.889094\pi\) | |||||||
\(174\) | −0.00628157 | + | 0.00235328i | −0.000476204 | + | 0.000178402i | ||||
\(175\) | −19.7166 | + | 8.67092i | −1.49044 | + | 0.655460i | ||||
\(176\) | −0.504052 | + | 0.600706i | −0.0379943 | + | 0.0452799i | ||||
\(177\) | −0.0691237 | − | 0.712973i | −0.00519565 | − | 0.0535903i | ||||
\(178\) | −7.39824 | + | 3.44986i | −0.554522 | + | 0.258578i | ||||
\(179\) | 10.3891 | − | 17.9945i | 0.776520 | − | 1.34497i | −0.157416 | − | 0.987532i | \(-0.550316\pi\) |
0.933936 | − | 0.357440i | \(-0.116350\pi\) | |||||||
\(180\) | −6.17828 | − | 8.67938i | −0.460502 | − | 0.646923i | ||||
\(181\) | 1.61486 | + | 2.79701i | 0.120031 | + | 0.207900i | 0.919780 | − | 0.392435i | \(-0.128367\pi\) |
−0.799748 | + | 0.600335i | \(0.795034\pi\) | |||||||
\(182\) | −12.0160 | − | 8.41369i | −0.890685 | − | 0.623664i | ||||
\(183\) | 3.97081 | + | 0.309888i | 0.293531 | + | 0.0229076i | ||||
\(184\) | 2.16689 | + | 5.95348i | 0.159745 | + | 0.438896i | ||||
\(185\) | 16.7891 | + | 0.184792i | 1.23436 | + | 0.0135862i | ||||
\(186\) | 1.22009 | − | 2.15981i | 0.0894615 | − | 0.158365i | ||||
\(187\) | 2.34751 | + | 0.205381i | 0.171667 | + | 0.0150189i | ||||
\(188\) | 12.6743 | + | 12.6743i | 0.924372 | + | 0.924372i | ||||
\(189\) | −4.50583 | − | 21.9258i | −0.327751 | − | 1.59487i | ||||
\(190\) | 0.279645 | + | 1.69482i | 0.0202876 | + | 0.122955i | ||||
\(191\) | 0.296698 | + | 0.353591i | 0.0214683 | + | 0.0255850i | 0.776672 | − | 0.629905i | \(-0.216906\pi\) |
−0.755203 | + | 0.655490i | \(0.772462\pi\) | |||||||
\(192\) | −0.312669 | + | 0.318592i | −0.0225649 | + | 0.0229924i | ||||
\(193\) | 1.30491 | + | 1.86360i | 0.0939292 | + | 0.134145i | 0.863366 | − | 0.504578i | \(-0.168352\pi\) |
−0.769437 | + | 0.638723i | \(0.779463\pi\) | |||||||
\(194\) | −5.16623 | + | 1.88035i | −0.370914 | + | 0.135001i | ||||
\(195\) | −8.71530 | + | 18.6111i | −0.624116 | + | 1.33277i | ||||
\(196\) | −3.18729 | − | 18.0760i | −0.227663 | − | 1.29114i | ||||
\(197\) | 25.7926 | + | 6.91110i | 1.83765 | + | 0.492396i | 0.998660 | − | 0.0517571i | \(-0.0164821\pi\) |
0.838986 | + | 0.544153i | \(0.183149\pi\) | |||||||
\(198\) | −0.523350 | − | 0.718345i | −0.0371929 | − | 0.0510506i | ||||
\(199\) | −20.6539 | − | 11.9246i | −1.46412 | − | 0.845309i | −0.464921 | − | 0.885352i | \(-0.653917\pi\) |
−0.999198 | + | 0.0400428i | \(0.987251\pi\) | |||||||
\(200\) | 8.31839 | − | 7.96001i | 0.588199 | − | 0.562857i | ||||
\(201\) | −10.0263 | − | 1.67106i | −0.707199 | − | 0.117867i | ||||
\(202\) | 0.877983 | + | 10.0354i | 0.0617747 | + | 0.706088i | ||||
\(203\) | 0.00226579 | + | 0.0258981i | 0.000159027 | + | 0.00181769i | ||||
\(204\) | −13.8504 | − | 2.30841i | −0.969720 | − | 0.161621i | ||||
\(205\) | 8.69534 | − | 5.94700i | 0.607309 | − | 0.415357i | ||||
\(206\) | 7.77970 | + | 4.49161i | 0.542038 | + | 0.312946i | ||||
\(207\) | 8.20783 | − | 0.873570i | 0.570484 | − | 0.0607173i | ||||
\(208\) | −8.70605 | − | 2.33278i | −0.603656 | − | 0.161749i | ||||
\(209\) | −0.0959604 | − | 0.544219i | −0.00663772 | − | 0.0376444i | ||||
\(210\) | 10.0671 | − | 3.64561i | 0.694693 | − | 0.251571i | ||||
\(211\) | 20.3867 | − | 7.42015i | 1.40348 | − | 0.510825i | 0.474270 | − | 0.880379i | \(-0.342712\pi\) |
0.929209 | + | 0.369555i | \(0.120490\pi\) | |||||||
\(212\) | −5.07605 | − | 7.24934i | −0.348624 | − | 0.497887i | ||||
\(213\) | 0.908691 | − | 0.925905i | 0.0622625 | − | 0.0634420i | ||||
\(214\) | 1.67118 | + | 1.99163i | 0.114239 | + | 0.136145i | ||||
\(215\) | 4.20846 | − | 0.694397i | 0.287015 | − | 0.0473575i | ||||
\(216\) | 6.27178 | + | 10.1895i | 0.426741 | + | 0.693310i | ||||
\(217\) | −6.79799 | − | 6.79799i | −0.461477 | − | 0.461477i | ||||
\(218\) | −4.24675 | − | 0.371543i | −0.287626 | − | 0.0251640i | ||||
\(219\) | 9.79260 | − | 17.3349i | 0.661722 | − | 1.17138i | ||||
\(220\) | −1.17194 | + | 1.14642i | −0.0790121 | + | 0.0772917i | ||||
\(221\) | 9.26370 | + | 25.4518i | 0.623144 | + | 1.71207i | ||||
\(222\) | −8.32087 | − | 0.649373i | −0.558460 | − | 0.0435831i | ||||
\(223\) | 9.00598 | + | 6.30605i | 0.603085 | + | 0.422285i | 0.834842 | − | 0.550489i | \(-0.185559\pi\) |
−0.231757 | + | 0.972774i | \(0.574448\pi\) | |||||||
\(224\) | 12.2674 | + | 21.2477i | 0.819649 | + | 1.41967i | ||||
\(225\) | −7.45778 | − | 13.0147i | −0.497186 | − | 0.867644i | ||||
\(226\) | 2.25386 | − | 3.90381i | 0.149925 | − | 0.259677i | ||||
\(227\) | −8.96865 | + | 4.18215i | −0.595270 | + | 0.277579i | −0.696814 | − | 0.717252i | \(-0.745400\pi\) |
0.101544 | + | 0.994831i | \(0.467622\pi\) | |||||||
\(228\) | 0.317755 | + | 3.27746i | 0.0210438 | + | 0.217055i | ||||
\(229\) | −6.25137 | + | 7.45009i | −0.413102 | + | 0.492316i | −0.931968 | − | 0.362540i | \(-0.881910\pi\) |
0.518866 | + | 0.854855i | \(0.326354\pi\) | |||||||
\(230\) | 0.979829 | + | 3.82466i | 0.0646080 | + | 0.252191i | ||||
\(231\) | −3.22558 | + | 1.20841i | −0.212228 | + | 0.0795075i | ||||
\(232\) | −0.00587283 | − | 0.0125943i | −0.000385570 | − | 0.000826858i | ||||
\(233\) | −9.77279 | + | 2.61861i | −0.640236 | + | 0.171551i | −0.564311 | − | 0.825563i | \(-0.690858\pi\) |
−0.0759259 | + | 0.997113i | \(0.524191\pi\) | |||||||
\(234\) | 4.94084 | − | 8.94117i | 0.322993 | − | 0.584503i | ||||
\(235\) | 16.0079 | + | 19.5096i | 1.04424 | + | 1.27267i | ||||
\(236\) | 0.646833 | − | 0.114054i | 0.0421053 | − | 0.00742429i | ||||
\(237\) | 2.45797 | − | 1.17437i | 0.159662 | − | 0.0762836i | ||||
\(238\) | 5.96371 | − | 12.7892i | 0.386570 | − | 0.829002i | ||||
\(239\) | 0.554723 | − | 3.14599i | 0.0358821 | − | 0.203497i | −0.961596 | − | 0.274468i | \(-0.911498\pi\) |
0.997478 | + | 0.0709702i | \(0.0226095\pi\) | |||||||
\(240\) | 5.04647 | − | 4.22055i | 0.325748 | − | 0.272435i | ||||
\(241\) | −15.5334 | + | 13.0341i | −1.00060 | + | 0.839600i | −0.987067 | − | 0.160309i | \(-0.948751\pi\) |
−0.0135291 | + | 0.999908i | \(0.504307\pi\) | |||||||
\(242\) | 4.89485 | − | 4.89485i | 0.314653 | − | 0.314653i | ||||
\(243\) | 14.8515 | − | 4.73629i | 0.952725 | − | 0.303833i | ||||
\(244\) | 3.65203i | 0.233797i | ||||||||
\(245\) | −1.96886 | − | 25.7676i | −0.125786 | − | 1.64623i | ||||
\(246\) | −4.51025 | + | 2.66073i | −0.287563 | + | 0.169642i | ||||
\(247\) | 5.20303 | − | 3.64320i | 0.331061 | − | 0.231811i | ||||
\(248\) | 4.65743 | + | 2.17179i | 0.295747 | + | 0.137909i | ||||
\(249\) | −6.16213 | + | 17.4377i | −0.390509 | + | 1.10507i | ||||
\(250\) | 5.64552 | − | 4.42795i | 0.357054 | − | 0.280048i | ||||
\(251\) | 12.3046 | − | 7.10409i | 0.776662 | − | 0.448406i | −0.0585840 | − | 0.998282i | \(-0.518659\pi\) |
0.835246 | + | 0.549876i | \(0.185325\pi\) | |||||||
\(252\) | 19.7221 | − | 5.68324i | 1.24237 | − | 0.358010i | ||||
\(253\) | −0.328745 | − | 1.22689i | −0.0206680 | − | 0.0771341i | ||||
\(254\) | 5.05618 | + | 1.84030i | 0.317253 | + | 0.115471i | ||||
\(255\) | −19.0877 | − | 5.14775i | −1.19532 | − | 0.322365i | ||||
\(256\) | −5.91329 | − | 4.96184i | −0.369581 | − | 0.310115i | ||||
\(257\) | −28.1859 | + | 2.46595i | −1.75819 | + | 0.153822i | −0.920093 | − | 0.391701i | \(-0.871887\pi\) |
−0.838096 | + | 0.545522i | \(0.816331\pi\) | |||||||
\(258\) | −2.11037 | + | 0.204604i | −0.131386 | + | 0.0127381i | ||||
\(259\) | −11.0631 | + | 30.3956i | −0.687426 | + | 1.88869i | ||||
\(260\) | −17.6351 | − | 6.63935i | −1.09368 | − | 0.411755i | ||||
\(261\) | −0.0177674 | + | 0.00347784i | −0.00109978 | + | 0.000215273i | ||||
\(262\) | −1.89985 | + | 7.09034i | −0.117373 | + | 0.438043i | ||||
\(263\) | −3.01081 | + | 4.29988i | −0.185655 | + | 0.265142i | −0.901181 | − | 0.433444i | \(-0.857298\pi\) |
0.715526 | + | 0.698586i | \(0.246187\pi\) | |||||||
\(264\) | 1.39928 | − | 1.19669i | 0.0861197 | − | 0.0736510i | ||||
\(265\) | −6.11092 | − | 10.8587i | −0.375391 | − | 0.667044i | ||||
\(266\) | −3.25896 | − | 0.574642i | −0.199819 | − | 0.0352336i | ||||
\(267\) | −21.2269 | + | 5.90173i | −1.29906 | + | 0.361180i | ||||
\(268\) | 0.812310 | − | 9.28474i | 0.0496197 | − | 0.567156i | ||||
\(269\) | −11.2342 | −0.684961 | −0.342480 | − | 0.939525i | \(-0.611267\pi\) | ||||
−0.342480 | + | 0.939525i | \(0.611267\pi\) | |||||||
\(270\) | 3.26656 | + | 6.70273i | 0.198796 | + | 0.407915i | ||||
\(271\) | −15.3871 | −0.934699 | −0.467349 | − | 0.884073i | \(-0.654791\pi\) | ||||
−0.467349 | + | 0.884073i | \(0.654791\pi\) | |||||||
\(272\) | 0.755696 | − | 8.63764i | 0.0458208 | − | 0.523734i | ||||
\(273\) | −28.2565 | − | 27.7312i | −1.71016 | − | 1.67837i | ||||
\(274\) | 6.51532 | + | 1.14883i | 0.393605 | + | 0.0694032i | ||||
\(275\) | −1.80044 | + | 1.44443i | −0.108571 | + | 0.0871022i | ||||
\(276\) | 1.38414 | + | 7.44087i | 0.0833152 | + | 0.447888i | ||||
\(277\) | 9.41860 | − | 13.4512i | 0.565909 | − | 0.808202i | −0.429585 | − | 0.903026i | \(-0.641340\pi\) |
0.995494 | + | 0.0948247i | \(0.0302291\pi\) | |||||||
\(278\) | 0.287365 | − | 1.07246i | 0.0172350 | − | 0.0643219i | ||||
\(279\) | 4.20656 | − | 5.20863i | 0.251840 | − | 0.311832i | ||||
\(280\) | 9.15211 | + | 20.2044i | 0.546943 | + | 1.20744i | ||||
\(281\) | −3.30030 | + | 9.06751i | −0.196880 | + | 0.540922i | −0.998369 | − | 0.0570865i | \(-0.981819\pi\) |
0.801490 | + | 0.598009i | \(0.204041\pi\) | |||||||
\(282\) | −7.29149 | − | 10.2081i | −0.434202 | − | 0.607884i | ||||
\(283\) | −15.4609 | + | 1.35265i | −0.919054 | + | 0.0804068i | −0.536856 | − | 0.843674i | \(-0.680388\pi\) |
−0.382198 | + | 0.924080i | \(0.624833\pi\) | |||||||
\(284\) | 0.911245 | + | 0.764625i | 0.0540724 | + | 0.0453721i | ||||
\(285\) | −0.00752639 | + | 4.63614i | −0.000445825 | + | 0.274621i | ||||
\(286\) | −1.47718 | − | 0.537651i | −0.0873477 | − | 0.0317920i | ||||
\(287\) | 5.25269 | + | 19.6033i | 0.310057 | + | 1.15715i | ||||
\(288\) | −13.8099 | + | 10.0612i | −0.813755 | + | 0.592861i | ||||
\(289\) | −7.84266 | + | 4.52796i | −0.461333 | + | 0.266351i | ||||
\(290\) | −0.00287211 | − | 0.00816972i | −0.000168656 | − | 0.000479742i | ||||
\(291\) | −14.5882 | + | 2.71367i | −0.855177 | + | 0.159078i | ||||
\(292\) | 16.5453 | + | 7.71521i | 0.968242 | + | 0.451499i | ||||
\(293\) | 7.90208 | − | 5.53310i | 0.461645 | − | 0.323247i | −0.319512 | − | 0.947582i | \(-0.603519\pi\) |
0.781157 | + | 0.624335i | \(0.214630\pi\) | |||||||
\(294\) | 0.120532 | + | 12.8456i | 0.00702954 | + | 0.749170i | ||||
\(295\) | 0.922072 | − | 0.0704540i | 0.0536851 | − | 0.00410199i | ||||
\(296\) | − | 17.2902i | − | 1.00497i | ||||||
\(297\) | −1.07456 | − | 2.14465i | −0.0623522 | − | 0.124445i | ||||
\(298\) | 2.08377 | − | 2.08377i | 0.120709 | − | 0.120709i | ||||
\(299\) | 11.1837 | − | 9.38426i | 0.646772 | − | 0.542706i | ||||
\(300\) | 11.3653 | − | 7.74603i | 0.656177 | − | 0.447217i | ||||
\(301\) | −1.42692 | + | 8.09244i | −0.0822460 | + | 0.466440i | ||||
\(302\) | −1.20166 | + | 2.57696i | −0.0691476 | + | 0.148288i | ||||
\(303\) | −2.11543 | + | 27.1065i | −0.121528 | + | 1.55723i | ||||
\(304\) | −2.00245 | + | 0.353085i | −0.114848 | + | 0.0202508i | ||||
\(305\) | −0.504493 | + | 5.11707i | −0.0288872 | + | 0.293003i | ||||
\(306\) | 9.29607 | + | 3.18725i | 0.531421 | + | 0.182203i | ||||
\(307\) | 4.23478 | − | 1.13471i | 0.241692 | − | 0.0647610i | −0.135940 | − | 0.990717i | \(-0.543405\pi\) |
0.377631 | + | 0.925956i | \(0.376739\pi\) | |||||||
\(308\) | −1.33479 | − | 2.86246i | −0.0760566 | − | 0.163104i | ||||
\(309\) | 18.7187 | + | 15.4099i | 1.06487 | + | 0.876637i | ||||
\(310\) | 2.75561 | + | 1.63165i | 0.156508 | + | 0.0926716i | ||||
\(311\) | −5.33012 | + | 6.35219i | −0.302243 | + | 0.360199i | −0.895694 | − | 0.444671i | \(-0.853321\pi\) |
0.593451 | + | 0.804870i | \(0.297765\pi\) | |||||||
\(312\) | 19.2630 | + | 8.76341i | 1.09055 | + | 0.496131i | ||||
\(313\) | 9.38140 | − | 4.37462i | 0.530268 | − | 0.247268i | −0.138996 | − | 0.990293i | \(-0.544387\pi\) |
0.669264 | + | 0.743025i | \(0.266610\pi\) | |||||||
\(314\) | 0.267093 | − | 0.462618i | 0.0150729 | − | 0.0261070i | ||||
\(315\) | 28.4189 | − | 5.23870i | 1.60122 | − | 0.295167i | ||||
\(316\) | 1.24891 | + | 2.16317i | 0.0702566 | + | 0.121688i | ||||
\(317\) | −1.11253 | − | 0.779004i | −0.0624861 | − | 0.0437532i | 0.541916 | − | 0.840433i | \(-0.317699\pi\) |
−0.604402 | + | 0.796679i | \(0.706588\pi\) | |||||||
\(318\) | 2.67016 | + | 5.58867i | 0.149735 | + | 0.313397i | ||||
\(319\) | 0.000952860 | 0.00261796i | 5.33499e−5 | 0.000146578i | ||||||
\(320\) | −0.402986 | − | 0.411955i | −0.0225276 | − | 0.0230290i | ||||
\(321\) | 3.56541 | + | 6.04379i | 0.199002 | + | 0.337332i | ||||
\(322\) | −7.57727 | − | 0.662925i | −0.422265 | − | 0.0369434i | ||||
\(323\) | 4.32066 | + | 4.32066i | 0.240408 | + | 0.240408i | ||||
\(324\) | 5.38922 | + | 13.2386i | 0.299401 | + | 0.735480i | ||||
\(325\) | −23.7924 | − | 11.7389i | −1.31977 | − | 0.651158i | ||||
\(326\) | 5.92535 | + | 7.06156i | 0.328175 | + | 0.391104i | ||||
\(327\) | −11.1411 | − | 2.87350i | −0.616106 | − | 0.158905i | ||||
\(328\) | −6.22232 | − | 8.88639i | −0.343570 | − | 0.490669i | ||||
\(329\) | −45.6863 | + | 16.6284i | −2.51877 | + | 0.916756i | ||||
\(330\) | 0.940962 | − | 0.656594i | 0.0517982 | − | 0.0361443i | ||||
\(331\) | 1.24032 | + | 7.03423i | 0.0681744 | + | 0.386636i | 0.999734 | + | 0.0230485i | \(0.00733722\pi\) |
−0.931560 | + | 0.363588i | \(0.881552\pi\) | |||||||
\(332\) | −16.3803 | − | 4.38908i | −0.898985 | − | 0.240882i | ||||
\(333\) | −21.8643 | − | 5.42091i | −1.19815 | − | 0.297064i | ||||
\(334\) | −12.4699 | − | 7.19952i | −0.682324 | − | 0.393940i | ||||
\(335\) | 2.42078 | − | 12.8972i | 0.132261 | − | 0.704649i | ||||
\(336\) | 4.44633 | + | 11.8685i | 0.242567 | + | 0.647480i | ||||
\(337\) | 2.50617 | + | 28.6457i | 0.136520 | + | 1.56043i | 0.687671 | + | 0.726023i | \(0.258633\pi\) |
−0.551151 | + | 0.834406i | \(0.685811\pi\) | |||||||
\(338\) | −0.847653 | − | 9.68871i | −0.0461062 | − | 0.526997i | ||||
\(339\) | 7.73257 | − | 9.39291i | 0.419976 | − | 0.510153i | ||||
\(340\) | 3.34408 | − | 17.8163i | 0.181358 | − | 0.966223i | ||||
\(341\) | −0.892235 | − | 0.515132i | −0.0483172 | − | 0.0278960i | ||||
\(342\) | 0.157742 | − | 2.29918i | 0.00852972 | − | 0.124325i | ||||
\(343\) | 18.9628 | + | 5.08105i | 1.02389 | + | 0.274351i | ||||
\(344\) | −0.762735 | − | 4.32568i | −0.0411239 | − | 0.233225i | ||||
\(345\) | 0.911506 | + | 10.6171i | 0.0490739 | + | 0.571603i | ||||
\(346\) | −1.39280 | + | 0.506936i | −0.0748772 | + | 0.0272531i | ||||
\(347\) | 16.9146 | + | 24.1565i | 0.908021 | + | 1.29679i | 0.954605 | + | 0.297874i | \(0.0962775\pi\) |
−0.0465844 | + | 0.998914i | \(0.514834\pi\) | |||||||
\(348\) | −0.00444683 | − | 0.0159940i | −0.000238375 | − | 0.000857367i | ||||
\(349\) | 13.2402 | + | 15.7790i | 0.708730 | + | 0.844632i | 0.993484 | − | 0.113969i | \(-0.0363563\pi\) |
−0.284754 | + | 0.958601i | \(0.591912\pi\) | |||||||
\(350\) | 4.44052 | + | 13.0898i | 0.237356 | + | 0.699678i | ||||
\(351\) | 17.1212 | − | 21.6115i | 0.913862 | − | 1.15354i | ||||
\(352\) | 1.85918 | + | 1.85918i | 0.0990944 | + | 0.0990944i | ||||
\(353\) | −1.74696 | − | 0.152839i | −0.0929814 | − | 0.00813482i | 0.0405701 | − | 0.999177i | \(-0.487083\pi\) |
−0.133552 | + | 0.991042i | \(0.542638\pi\) | |||||||
\(354\) | −0.459668 | + | 0.00431311i | −0.0244311 | + | 0.000229239i | ||||
\(355\) | 1.17117 | + | 1.19724i | 0.0621594 | + | 0.0635430i | ||||
\(356\) | −6.90944 | − | 18.9835i | −0.366199 | − | 1.00612i | ||||
\(357\) | 21.5518 | − | 31.4022i | 1.14064 | − | 1.66198i | ||||
\(358\) | −10.9228 | − | 7.64820i | −0.577286 | − | 0.404220i | ||||
\(359\) | −9.41628 | − | 16.3095i | −0.496972 | − | 0.860781i | 0.503022 | − | 0.864274i | \(-0.332222\pi\) |
−0.999994 | + | 0.00349274i | \(0.998888\pi\) | |||||||
\(360\) | −13.3170 | + | 7.82696i | −0.701866 | + | 0.412517i | ||||
\(361\) | −8.78354 | + | 15.2135i | −0.462291 | + | 0.800712i | ||||
\(362\) | 1.87844 | − | 0.875933i | 0.0987288 | − | 0.0460380i | ||||
\(363\) | 15.2033 | − | 10.8595i | 0.797969 | − | 0.569976i | ||||
\(364\) | 23.3346 | − | 27.8091i | 1.22307 | − | 1.45759i | ||||
\(365\) | 22.1168 | + | 13.0958i | 1.15765 | + | 0.685467i | ||||
\(366\) | 0.420203 | − | 2.52120i | 0.0219644 | − | 0.131785i | ||||
\(367\) | −11.3614 | − | 24.3645i | −0.593058 | − | 1.27182i | −0.942295 | − | 0.334783i | \(-0.891337\pi\) |
0.349237 | − | 0.937034i | \(-0.386441\pi\) | |||||||
\(368\) | −4.51434 | + | 1.20961i | −0.235326 | + | 0.0630555i | ||||
\(369\) | −13.1881 | + | 5.08231i | −0.686546 | + | 0.264575i | ||||
\(370\) | 1.05717 | − | 10.7229i | 0.0549597 | − | 0.557456i | ||||
\(371\) | 23.6399 | − | 4.16835i | 1.22732 | − | 0.216410i | ||||
\(372\) | 5.06158 | + | 3.47384i | 0.262431 | + | 0.180110i | ||||
\(373\) | 1.33439 | − | 2.86161i | 0.0690922 | − | 0.148169i | −0.868729 | − | 0.495288i | \(-0.835062\pi\) |
0.937821 | + | 0.347120i | \(0.112840\pi\) | |||||||
\(374\) | 0.262599 | − | 1.48927i | 0.0135786 | − | 0.0770083i | ||||
\(375\) | 16.9947 | − | 9.28340i | 0.877600 | − | 0.479393i | ||||
\(376\) | 19.9081 | − | 16.7049i | 1.02668 | − | 0.861487i | ||||
\(377\) | −0.0226429 | + | 0.0226429i | −0.00116617 | + | 0.00116617i | ||||
\(378\) | −14.2692 | + | 1.65423i | −0.733926 | + | 0.0850842i | ||||
\(379\) | − | 7.29800i | − | 0.374873i | −0.982277 | − | 0.187436i | \(-0.939982\pi\) | ||
0.982277 | − | 0.187436i | \(-0.0600179\pi\) | |||||||
\(380\) | −4.23867 | + | 0.323870i | −0.217439 | + | 0.0166142i | ||||
\(381\) | 12.6443 | + | 7.14288i | 0.647789 | + | 0.365941i | ||||
\(382\) | 0.242645 | − | 0.169902i | 0.0124148 | − | 0.00869293i | ||||
\(383\) | 16.6615 | + | 7.76938i | 0.851362 | + | 0.396997i | 0.798783 | − | 0.601620i | \(-0.205478\pi\) |
0.0525799 | + | 0.998617i | \(0.483256\pi\) | |||||||
\(384\) | −12.6369 | − | 14.7763i | −0.644876 | − | 0.754051i | ||||
\(385\) | −1.47483 | − | 4.19515i | −0.0751641 | − | 0.213805i | ||||
\(386\) | 1.26438 | − | 0.729990i | 0.0643552 | − | 0.0371555i | ||||
\(387\) | −5.70917 | − | 0.391696i | −0.290213 | − | 0.0199110i | ||||
\(388\) | −3.52146 | − | 13.1423i | −0.178775 | − | 0.667197i | ||||
\(389\) | −19.7491 | − | 7.18808i | −1.00132 | − | 0.364450i | −0.211226 | − | 0.977437i | \(-0.567746\pi\) |
−0.790093 | + | 0.612987i | \(0.789968\pi\) | |||||||
\(390\) | 11.4106 | + | 6.61261i | 0.577796 | + | 0.334843i | ||||
\(391\) | 10.7587 | + | 9.02763i | 0.544091 | + | 0.456547i | ||||
\(392\) | −26.5112 | + | 2.31943i | −1.33902 | + | 0.117149i | ||||
\(393\) | −8.20401 | + | 18.0334i | −0.413838 | + | 0.909665i | ||||
\(394\) | 5.86086 | − | 16.1026i | 0.295266 | − | 0.811237i | ||||
\(395\) | 1.45110 | + | 3.20347i | 0.0730126 | + | 0.161184i | ||||
\(396\) | 1.88387 | − | 1.13531i | 0.0946681 | − | 0.0570515i | ||||
\(397\) | 8.78326 | − | 32.7796i | 0.440819 | − | 1.64516i | −0.285926 | − | 0.958252i | \(-0.592301\pi\) |
0.726745 | − | 0.686907i | \(-0.241032\pi\) | |||||||
\(398\) | −8.77854 | + | 12.5371i | −0.440029 | + | 0.628426i | ||||
\(399\) | −8.42125 | − | 2.97590i | −0.421590 | − | 0.148981i | ||||
\(400\) | 5.31475 | + | 6.62470i | 0.265738 | + | 0.331235i | ||||
\(401\) | −26.7887 | − | 4.72357i | −1.33776 | − | 0.235884i | −0.541433 | − | 0.840744i | \(-0.682118\pi\) |
−0.796332 | + | 0.604860i | \(0.793229\pi\) | |||||||
\(402\) | −1.62909 | + | 6.31631i | −0.0812515 | + | 0.315029i | ||||
\(403\) | 1.03208 | − | 11.7968i | 0.0514117 | − | 0.587638i | ||||
\(404\) | −24.9303 | −1.24033 | ||||||||
\(405\) | 5.72236 | + | 19.2939i | 0.284346 | + | 0.958722i | ||||
\(406\) | 0.0166833 | 0.000827980 | ||||||||
\(407\) | −0.302116 | + | 3.45320i | −0.0149753 | + | 0.171169i | ||||
\(408\) | −5.08443 | + | 19.7134i | −0.251717 | + | 0.975957i | ||||
\(409\) | 13.3695 | + | 2.35741i | 0.661081 | + | 0.116566i | 0.494115 | − | 0.869396i | \(-0.335492\pi\) |
0.166965 | + | 0.985963i | \(0.446603\pi\) | |||||||
\(410\) | −3.31556 | − | 5.89153i | −0.163744 | − | 0.290962i | ||||
\(411\) | 16.8358 | + | 5.94944i | 0.830449 | + | 0.293464i | ||||
\(412\) | −12.7515 | + | 18.2111i | −0.628222 | + | 0.897195i | ||||
\(413\) | −0.461102 | + | 1.72085i | −0.0226893 | + | 0.0846777i | ||||
\(414\) | −0.0993966 | − | 5.29610i | −0.00488508 | − | 0.260289i | ||||
\(415\) | −22.3451 | − | 8.41259i | −1.09688 | − | 0.412958i | ||||
\(416\) | −10.3361 | + | 28.3982i | −0.506769 | + | 1.39234i | ||||
\(417\) | 1.24091 | − | 2.72767i | 0.0607677 | − | 0.133575i | ||||
\(418\) | −0.353285 | + | 0.0309084i | −0.0172797 | + | 0.00151178i | ||||
\(419\) | 9.78730 | + | 8.21252i | 0.478141 | + | 0.401208i | 0.849754 | − | 0.527180i | \(-0.176751\pi\) |
−0.371613 | + | 0.928388i | \(0.621195\pi\) | |||||||
\(420\) | 6.81641 | + | 25.6054i | 0.332607 | + | 1.24942i | ||||
\(421\) | 16.9246 | + | 6.16004i | 0.824853 | + | 0.300222i | 0.719745 | − | 0.694239i | \(-0.244259\pi\) |
0.105108 | + | 0.994461i | \(0.466481\pi\) | |||||||
\(422\) | −3.60343 | − | 13.4482i | −0.175412 | − | 0.654648i | ||||
\(423\) | −14.8824 | − | 30.4121i | −0.723608 | − | 1.47869i | ||||
\(424\) | −11.1122 | + | 6.41562i | −0.539656 | + | 0.311570i | ||||
\(425\) | 7.14674 | − | 24.5015i | 0.346668 | − | 1.18850i | ||||
\(426\) | −0.541105 | − | 0.632711i | −0.0262166 | − | 0.0306549i | ||||
\(427\) | −8.97778 | − | 4.18641i | −0.434465 | − | 0.202595i | ||||
\(428\) | −5.27058 | + | 3.69050i | −0.254763 | + | 0.178387i | ||||
\(429\) | −3.69410 | − | 2.08682i | −0.178353 | − | 0.100753i | ||||
\(430\) | −0.208541 | − | 2.72930i | −0.0100568 | − | 0.131618i | ||||
\(431\) | − | 4.80209i | − | 0.231309i | −0.993290 | − | 0.115654i | \(-0.963104\pi\) | ||
0.993290 | − | 0.115654i | \(-0.0368965\pi\) | |||||||
\(432\) | −7.89121 | + | 3.95383i | −0.379666 | + | 0.190229i | ||||
\(433\) | 23.6615 | − | 23.6615i | 1.13710 | − | 1.13710i | 0.148130 | − | 0.988968i | \(-0.452675\pi\) |
0.988968 | − | 0.148130i | \(-0.0473253\pi\) | |||||||
\(434\) | −4.72616 | + | 3.96572i | −0.226863 | + | 0.190360i | ||||
\(435\) | −0.00402129 | − | 0.0230244i | −0.000192806 | − | 0.00110394i | ||||
\(436\) | 1.83198 | − | 10.3897i | 0.0877360 | − | 0.497576i | ||||
\(437\) | 1.39192 | − | 2.98497i | 0.0665844 | − | 0.142791i | ||||
\(438\) | −10.5344 | − | 7.22994i | −0.503355 | − | 0.345460i | ||||
\(439\) | −0.531654 | + | 0.0937450i | −0.0253745 | + | 0.00447420i | −0.186321 | − | 0.982489i | \(-0.559656\pi\) |
0.160947 | + | 0.986963i | \(0.448545\pi\) | |||||||
\(440\) | 1.50777 | + | 1.83758i | 0.0718799 | + | 0.0876034i | ||||
\(441\) | −5.37890 | + | 34.2519i | −0.256138 | + | 1.63104i | ||||
\(442\) | 16.7894 | − | 4.49871i | 0.798591 | − | 0.213982i | ||||
\(443\) | −2.19821 | − | 4.71408i | −0.104440 | − | 0.223973i | 0.847142 | − | 0.531366i | \(-0.178321\pi\) |
−0.951583 | + | 0.307393i | \(0.900543\pi\) | |||||||
\(444\) | 3.39569 | − | 20.3740i | 0.161152 | − | 0.966906i | ||||
\(445\) | −7.05882 | − | 27.5534i | −0.334620 | − | 1.30616i | ||||
\(446\) | 4.53516 | − | 5.40479i | 0.214746 | − | 0.255924i | ||||
\(447\) | 6.47215 | − | 4.62295i | 0.306122 | − | 0.218658i | ||||
\(448\) | 1.00620 | − | 0.469199i | 0.0475385 | − | 0.0221676i | ||||
\(449\) | −6.99817 | + | 12.1212i | −0.330264 | + | 0.572034i | −0.982564 | − | 0.185927i | \(-0.940471\pi\) |
0.652300 | + | 0.757961i | \(0.273804\pi\) | |||||||
\(450\) | −8.73737 | + | 4.03982i | −0.411883 | + | 0.190439i | ||||
\(451\) | 1.08745 | + | 1.88352i | 0.0512060 | + | 0.0886914i | ||||
\(452\) | 9.13819 | + | 6.39863i | 0.429824 | + | 0.300966i | ||||
\(453\) | −4.34257 | + | 6.32738i | −0.204032 | + | 0.297286i | ||||
\(454\) | 2.17201 | + | 5.96755i | 0.101937 | + | 0.280071i | ||||
\(455\) | 36.5371 | − | 35.7415i | 1.71289 | − | 1.67559i | ||||
\(456\) | 4.77403 | − | 0.0447952i | 0.223564 | − | 0.00209773i | ||||
\(457\) | 3.82420 | + | 0.334574i | 0.178888 | + | 0.0156507i | 0.176248 | − | 0.984346i | \(-0.443604\pi\) |
0.00264047 | + | 0.999997i | \(0.499160\pi\) | |||||||
\(458\) | 4.41318 | + | 4.41318i | 0.206214 | + | 0.206214i | ||||
\(459\) | 23.3344 | + | 12.6101i | 1.08916 | + | 0.588591i | ||||
\(460\) | −9.64056 | + | 1.59069i | −0.449493 | + | 0.0741664i | ||||
\(461\) | −14.3235 | − | 17.0701i | −0.667111 | − | 0.795032i | 0.321276 | − | 0.946985i | \(-0.395888\pi\) |
−0.988388 | + | 0.151953i | \(0.951444\pi\) | |||||||
\(462\) | 0.592122 | + | 2.12970i | 0.0275480 | + | 0.0990824i | ||||
\(463\) | 0.684383 | + | 0.977400i | 0.0318060 | + | 0.0454236i | 0.834740 | − | 0.550644i | \(-0.185618\pi\) |
−0.802934 | + | 0.596068i | \(0.796729\pi\) | |||||||
\(464\) | 0.00963277 | − | 0.00350604i | 0.000447190 | − | 0.000162764i | ||||
\(465\) | 6.61220 | + | 5.56661i | 0.306633 | + | 0.258145i | ||||
\(466\) | 1.12747 | + | 6.39418i | 0.0522289 | + | 0.296205i | ||||
\(467\) | 0.869824 | + | 0.233069i | 0.0402506 | + | 0.0107851i | 0.278888 | − | 0.960324i | \(-0.410034\pi\) |
−0.238638 | + | 0.971109i | \(0.576701\pi\) | |||||||
\(468\) | 20.9776 | + | 14.1096i | 0.969691 | + | 0.652215i | ||||
\(469\) | 21.8935 | + | 12.6402i | 1.01095 | + | 0.583672i | ||||
\(470\) | 13.3678 | − | 9.14263i | 0.616610 | − | 0.421718i | ||||
\(471\) | 0.916343 | − | 1.11310i | 0.0422229 | − | 0.0512890i | ||||
\(472\) | −0.0829988 | − | 0.948680i | −0.00382033 | − | 0.0436665i | ||||
\(473\) | 0.0767499 | + | 0.877255i | 0.00352896 | + | 0.0403362i | ||||
\(474\) | −0.613295 | − | 1.63706i | −0.0281696 | − | 0.0751925i | ||||
\(475\) | −5.98379 | − | 0.131739i | −0.274555 | − | 0.00604462i | ||||
\(476\) | 30.2439 | + | 17.4613i | 1.38623 | + | 0.800338i | ||||
\(477\) | 4.62891 | + | 16.0634i | 0.211943 | + | 0.735490i | ||||
\(478\) | −1.98020 | − | 0.530593i | −0.0905722 | − | 0.0242687i | ||||
\(479\) | 5.10504 | + | 28.9521i | 0.233255 | + | 1.32286i | 0.846257 | + | 0.532775i | \(0.178851\pi\) |
−0.613001 | + | 0.790082i | \(0.710038\pi\) | |||||||
\(480\) | −12.6227 | − | 18.0896i | −0.576147 | − | 0.825673i | ||||
\(481\) | −37.4398 | + | 13.6270i | −1.70711 | + | 0.621336i | ||||
\(482\) | 7.46386 | + | 10.6595i | 0.339969 | + | 0.485527i | ||||
\(483\) | −19.8786 | − | 5.12704i | −0.904507 | − | 0.233288i | ||||
\(484\) | 11.0119 | + | 13.1234i | 0.500539 | + | 0.596519i | ||||
\(485\) | −3.11864 | − | 18.9008i | −0.141610 | − | 0.858243i | ||||
\(486\) | −2.19724 | − | 9.75944i | −0.0996686 | − | 0.442697i | ||||
\(487\) | 22.6006 | + | 22.6006i | 1.02413 | + | 1.02413i | 0.999702 | + | 0.0244298i | \(0.00777702\pi\) |
0.0244298 | + | 0.999702i | \(0.492223\pi\) | |||||||
\(488\) | 5.27488 | + | 0.461492i | 0.238783 | + | 0.0208908i | ||||
\(489\) | 12.6416 | + | 21.4289i | 0.571671 | + | 0.969050i | ||||
\(490\) | −16.5833 | − | 0.182527i | −0.749158 | − | 0.00824575i | ||||
\(491\) | −4.34237 | − | 11.9306i | −0.195968 | − | 0.538419i | 0.802320 | − | 0.596894i | \(-0.203599\pi\) |
−0.998289 | + | 0.0584746i | \(0.981376\pi\) | |||||||
\(492\) | −5.58687 | − | 11.6934i | −0.251875 | − | 0.527177i | ||||
\(493\) | −0.0252339 | − | 0.0176690i | −0.00113648 | − | 0.000795772i | ||||
\(494\) | −2.03808 | − | 3.53005i | −0.0916974 | − | 0.158824i | ||||
\(495\) | 2.79643 | − | 1.33051i | 0.125690 | − | 0.0598021i | ||||
\(496\) | −1.89542 | + | 3.28297i | −0.0851071 | + | 0.147410i | ||||
\(497\) | −2.92426 | + | 1.36361i | −0.131171 | + | 0.0611661i | ||||
\(498\) | 10.8032 | + | 4.91475i | 0.484103 | + | 0.220235i | ||||
\(499\) | 7.76871 | − | 9.25839i | 0.347775 | − | 0.414463i | −0.563594 | − | 0.826052i | \(-0.690582\pi\) |
0.911369 | + | 0.411589i | \(0.135026\pi\) | |||||||
\(500\) | 9.69886 | + | 14.8734i | 0.433746 | + | 0.665158i | ||||
\(501\) | −30.0038 | − | 24.7002i | −1.34047 | − | 1.10352i | ||||
\(502\) | −3.85341 | − | 8.26367i | −0.171986 | − | 0.368825i | ||||
\(503\) | 21.0910 | − | 5.65132i | 0.940402 | − | 0.251980i | 0.244117 | − | 0.969746i | \(-0.421502\pi\) |
0.696285 | + | 0.717766i | \(0.254835\pi\) | |||||||
\(504\) | −5.71650 | − | 29.2042i | −0.254633 | − | 1.30086i | ||||
\(505\) | −34.9314 | − | 3.44389i | −1.55443 | − | 0.153251i | ||||
\(506\) | −0.802737 | + | 0.141544i | −0.0356860 | + | 0.00629241i | ||||
\(507\) | 2.04235 | − | 26.1701i | 0.0907041 | − | 1.16225i | ||||
\(508\) | −5.62760 | + | 12.0684i | −0.249684 | + | 0.535450i | ||||
\(509\) | 0.934268 | − | 5.29850i | 0.0414107 | − | 0.234852i | −0.957077 | − | 0.289835i | \(-0.906399\pi\) |
0.998487 | + | 0.0549834i | \(0.0175106\pi\) | |||||||
\(510\) | −4.35854 | + | 11.9148i | −0.193000 | + | 0.527596i | ||||
\(511\) | −37.9326 | + | 31.8293i | −1.67804 | + | 1.40804i | ||||
\(512\) | 12.3723 | − | 12.3723i | 0.546785 | − | 0.546785i | ||||
\(513\) | 1.44013 | − | 6.05103i | 0.0635834 | − | 0.267160i | ||||
\(514\) | 18.1571i | 0.800876i | ||||||||
\(515\) | −20.3826 | + | 23.7551i | −0.898165 | + | 1.04677i | ||||
\(516\) | −0.0492331 | − | 5.24699i | −0.00216736 | − | 0.230986i | ||||
\(517\) | −4.26794 | + | 2.98844i | −0.187704 | + | 0.131432i | ||||
\(518\) | 18.8130 | + | 8.77266i | 0.826597 | + | 0.385449i | ||||
\(519\) | −3.93293 | + | 0.731596i | −0.172637 | + | 0.0321135i | ||||
\(520\) | −11.8182 | + | 24.6327i | −0.518261 | + | 1.08021i | ||||
\(521\) | −2.74885 | + | 1.58705i | −0.120429 | + | 0.0695300i | −0.559005 | − | 0.829165i | \(-0.688817\pi\) |
0.438575 | + | 0.898694i | \(0.355483\pi\) | |||||||
\(522\) | 0.00122962 | + | 0.0115532i | 5.38190e−5 | + | 0.000505669i | ||||
\(523\) | 3.10969 | + | 11.6055i | 0.135977 | + | 0.507473i | 0.999992 | + | 0.00400710i | \(0.00127550\pi\) |
−0.864015 | + | 0.503466i | \(0.832058\pi\) | |||||||
\(524\) | −17.0706 | − | 6.21317i | −0.745731 | − | 0.271424i | ||||
\(525\) | 6.01373 | + | 36.8188i | 0.262461 | + | 1.60691i | ||||
\(526\) | 2.58051 | + | 2.16530i | 0.112515 | + | 0.0944116i | ||||
\(527\) | 11.3484 | − | 0.992860i | 0.494346 | − | 0.0432496i | ||||
\(528\) | 0.789445 | + | 1.10523i | 0.0343562 | + | 0.0480988i | ||||
\(529\) | −5.27731 | + | 14.4993i | −0.229448 | + | 0.630404i | ||||
\(530\) | −7.28373 | + | 3.29935i | −0.316385 | + | 0.143315i | ||||
\(531\) | −1.22567 | − | 0.192479i | −0.0531897 | − | 0.00835288i | ||||
\(532\) | 2.11964 | − | 7.91060i | 0.0918980 | − | 0.342968i | ||||
\(533\) | −14.3384 | + | 20.4773i | −0.621064 | + | 0.886972i | ||||
\(534\) | 2.58572 | + | 13.9004i | 0.111895 | + | 0.601528i | ||||
\(535\) | −7.89473 | + | 4.44289i | −0.341319 | + | 0.192083i | ||||
\(536\) | −13.3080 | − | 2.34655i | −0.574817 | − | 0.101356i | ||||
\(537\) | −25.6857 | − | 25.2082i | −1.10842 | − | 1.08781i | ||||
\(538\) | −0.628343 | + | 7.18199i | −0.0270898 | + | 0.309638i | ||||
\(539\) | 5.33536 | 0.229810 | ||||||||
\(540\) | −17.2293 | + | 6.60756i | −0.741431 | + | 0.284344i | ||||
\(541\) | 33.7781 | 1.45223 | 0.726116 | − | 0.687572i | \(-0.241324\pi\) | ||||
0.726116 | + | 0.687572i | \(0.241324\pi\) | |||||||
\(542\) | −0.860619 | + | 9.83692i | −0.0369668 | + | 0.422532i | ||||
\(543\) | 5.38959 | − | 1.49847i | 0.231289 | − | 0.0643057i | ||||
\(544\) | −28.6306 | − | 5.04834i | −1.22753 | − | 0.216446i | ||||
\(545\) | 4.00214 | − | 14.3045i | 0.171433 | − | 0.612739i | ||||
\(546\) | −19.3089 | + | 16.5133i | −0.826345 | + | 0.706704i | ||||
\(547\) | −8.22365 | + | 11.7446i | −0.351618 | + | 0.502162i | −0.955532 | − | 0.294887i | \(-0.904718\pi\) |
0.603914 | + | 0.797049i | \(0.293607\pi\) | |||||||
\(548\) | −4.23759 | + | 15.8149i | −0.181021 | + | 0.675579i | ||||
\(549\) | 2.23739 | − | 6.52565i | 0.0954894 | − | 0.278508i | ||||
\(550\) | 0.822717 | + | 1.23181i | 0.0350808 | + | 0.0525244i | ||||
\(551\) | −0.00247076 | + | 0.00678836i | −0.000105258 | + | 0.000289194i | ||||
\(552\) | 10.9223 | − | 1.05893i | 0.464884 | − | 0.0450711i | ||||
\(553\) | −6.74939 | + | 0.590495i | −0.287013 | + | 0.0251104i | ||||
\(554\) | −8.07250 | − | 6.77363i | −0.342968 | − | 0.287784i | ||||
\(555\) | 7.57238 | − | 28.0781i | 0.321430 | − | 1.19185i | ||||
\(556\) | 2.58203 | + | 0.939783i | 0.109503 | + | 0.0398557i | ||||
\(557\) | −2.61958 | − | 9.77642i | −0.110995 | − | 0.414240i | 0.887961 | − | 0.459919i | \(-0.152122\pi\) |
−0.998956 | + | 0.0456789i | \(0.985455\pi\) | |||||||
\(558\) | −3.09459 | − | 2.98057i | −0.131004 | − | 0.126177i | ||||
\(559\) | −8.76560 | + | 5.06082i | −0.370745 | + | 0.214050i | ||||
\(560\) | −15.4360 | + | 5.42661i | −0.652291 | + | 0.229316i | ||||
\(561\) | 1.35992 | − | 3.84832i | 0.0574159 | − | 0.162476i | ||||
\(562\) | 5.61224 | + | 2.61703i | 0.236738 | + | 0.110393i | ||||
\(563\) | −23.0577 | + | 16.1451i | −0.971765 | + | 0.680437i | −0.947663 | − | 0.319273i | \(-0.896561\pi\) |
−0.0241016 | + | 0.999710i | \(0.507673\pi\) | |||||||
\(564\) | 26.7395 | − | 15.7744i | 1.12594 | − | 0.664223i | ||||
\(565\) | 11.9201 | + | 10.2279i | 0.501484 | + | 0.430289i | ||||
\(566\) | 9.95976i | 0.418640i | ||||||||
\(567\) | −38.7224 | − | 1.92745i | −1.62619 | − | 0.0809453i | ||||
\(568\) | 1.21955 | − | 1.21955i | 0.0511713 | − | 0.0511713i | ||||
\(569\) | 7.66040 | − | 6.42784i | 0.321141 | − | 0.269469i | −0.467938 | − | 0.883761i | \(-0.655003\pi\) |
0.789078 | + | 0.614292i | \(0.210558\pi\) | |||||||
\(570\) | 2.96345 | + | 0.264117i | 0.124125 | + | 0.0110626i | ||||
\(571\) | 4.25288 | − | 24.1193i | 0.177978 | − | 1.00936i | −0.756673 | − | 0.653794i | \(-0.773176\pi\) |
0.934651 | − | 0.355568i | \(-0.115712\pi\) | |||||||
\(572\) | 1.64413 | − | 3.52584i | 0.0687444 | − | 0.147423i | ||||
\(573\) | 0.721374 | − | 0.344659i | 0.0301358 | − | 0.0143983i | ||||
\(574\) | 12.8261 | − | 2.26159i | 0.535353 | − | 0.0943971i | ||||
\(575\) | −13.7277 | + | 0.897060i | −0.572485 | + | 0.0374100i | ||||
\(576\) | 0.399080 | + | 0.662211i | 0.0166283 | + | 0.0275921i | ||||
\(577\) | 15.4493 | − | 4.13963i | 0.643163 | − | 0.172335i | 0.0775272 | − | 0.996990i | \(-0.475298\pi\) |
0.565636 | + | 0.824655i | \(0.308631\pi\) | |||||||
\(578\) | 2.45606 | + | 5.26705i | 0.102159 | + | 0.219080i | ||||
\(579\) | 3.69003 | − | 1.38240i | 0.153352 | − | 0.0574508i | ||||
\(580\) | 0.0207609 | − | 0.00531867i | 0.000862049 | − | 0.000220846i | ||||
\(581\) | 29.5668 | − | 35.2364i | 1.22664 | − | 1.46185i | ||||
\(582\) | 0.918905 | + | 9.47800i | 0.0380898 | + | 0.392876i | ||||
\(583\) | 2.33143 | − | 1.08716i | 0.0965581 | − | 0.0450258i | ||||
\(584\) | 13.2344 | − | 22.9227i | 0.547643 | − | 0.948546i | ||||
\(585\) | 27.4439 | + | 22.6676i | 1.13466 | + | 0.937190i | ||||
\(586\) | −3.09532 | − | 5.36125i | −0.127867 | − | 0.221471i | ||||
\(587\) | −16.2765 | − | 11.3970i | −0.671805 | − | 0.470403i | 0.187233 | − | 0.982316i | \(-0.440048\pi\) |
−0.859037 | + | 0.511913i | \(0.828937\pi\) | |||||||
\(588\) | −31.6952 | − | 2.47354i | −1.30709 | − | 0.102007i | ||||
\(589\) | −0.913697 | − | 2.51036i | −0.0376482 | − | 0.103438i | ||||
\(590\) | 0.00653158 | − | 0.593419i | 0.000268901 | − | 0.0244307i | ||||
\(591\) | 22.7482 | − | 40.2689i | 0.935735 | − | 1.65644i | ||||
\(592\) | 12.7060 | + | 1.11163i | 0.522214 | + | 0.0456878i | ||||
\(593\) | 24.0438 | + | 24.0438i | 0.987362 | + | 0.987362i | 0.999921 | − | 0.0125593i | \(-0.00399784\pi\) |
−0.0125593 | + | 0.999921i | \(0.503998\pi\) | |||||||
\(594\) | −1.43117 | + | 0.567010i | −0.0587216 | + | 0.0232647i | ||||
\(595\) | 39.9644 | + | 28.6440i | 1.63838 | + | 1.17429i | ||||
\(596\) | 4.68781 | + | 5.58672i | 0.192020 | + | 0.228841i | ||||
\(597\) | −28.9337 | + | 29.4819i | −1.18418 | + | 1.20661i | ||||
\(598\) | −5.37382 | − | 7.67460i | −0.219752 | − | 0.313838i | ||||
\(599\) | 32.8027 | − | 11.9392i | 1.34028 | − | 0.487823i | 0.430381 | − | 0.902647i | \(-0.358379\pi\) |
0.909901 | + | 0.414825i | \(0.136157\pi\) | |||||||
\(600\) | −9.75195 | − | 17.3946i | −0.398122 | − | 0.710131i | ||||
\(601\) | −4.52626 | − | 25.6697i | −0.184630 | − | 1.04709i | −0.926430 | − | 0.376467i | \(-0.877139\pi\) |
0.741800 | − | 0.670621i | \(-0.233972\pi\) | |||||||
\(602\) | 5.09367 | + | 1.36484i | 0.207602 | + | 0.0556269i | ||||
\(603\) | −7.13971 | + | 16.0929i | −0.290752 | + | 0.655352i | ||||
\(604\) | −6.09398 | − | 3.51836i | −0.247961 | − | 0.143160i | ||||
\(605\) | 13.6165 | + | 19.9092i | 0.553589 | + | 0.809423i | ||||
\(606\) | 17.2108 | + | 2.86849i | 0.699141 | + | 0.116524i | ||||
\(607\) | −0.312022 | − | 3.56643i | −0.0126646 | − | 0.144757i | 0.987230 | − | 0.159304i | \(-0.0509249\pi\) |
−0.999894 | + | 0.0145470i | \(0.995369\pi\) | |||||||
\(608\) | 0.594201 | + | 6.79175i | 0.0240980 | + | 0.275442i | ||||
\(609\) | 0.0444155 | + | 0.00740266i | 0.00179981 | + | 0.000299971i | ||||
\(610\) | 3.24311 | + | 0.608726i | 0.131310 | + | 0.0246466i | ||||
\(611\) | −51.8625 | − | 29.9428i | −2.09813 | − | 1.21136i | ||||
\(612\) | −9.86285 | + | 22.2308i | −0.398682 | + | 0.898627i | ||||
\(613\) | −17.6112 | − | 4.71891i | −0.711310 | − | 0.190595i | −0.115019 | − | 0.993363i | \(-0.536693\pi\) |
−0.596291 | + | 0.802768i | \(0.703360\pi\) | |||||||
\(614\) | −0.488558 | − | 2.77075i | −0.0197166 | − | 0.111818i | ||||
\(615\) | −6.21276 | − | 17.1560i | −0.250523 | − | 0.691798i | ||||
\(616\) | −4.30313 | + | 1.56621i | −0.173378 | + | 0.0631044i | ||||
\(617\) | 1.76647 | + | 2.52278i | 0.0711153 | + | 0.101563i | 0.853134 | − | 0.521692i | \(-0.174699\pi\) |
−0.782019 | + | 0.623255i | \(0.785810\pi\) | |||||||
\(618\) | 10.8984 | − | 11.1049i | 0.438400 | − | 0.446705i | ||||
\(619\) | −22.9284 | − | 27.3250i | −0.921572 | − | 1.09829i | −0.994889 | − | 0.100978i | \(-0.967803\pi\) |
0.0733171 | − | 0.997309i | \(-0.476641\pi\) | |||||||
\(620\) | −4.61699 | + | 6.44168i | −0.185423 | + | 0.258704i | ||||
\(621\) | 2.08534 | − | 14.1438i | 0.0836820 | − | 0.567570i | ||||
\(622\) | 3.76282 | + | 3.76282i | 0.150875 | + | 0.150875i | ||||
\(623\) | 54.5877 | + | 4.77580i | 2.18701 | + | 0.191339i | ||||
\(624\) | −7.67844 | + | 13.5924i | −0.307383 | + | 0.544131i | ||||
\(625\) | 11.5350 | + | 22.1798i | 0.461401 | + | 0.887192i | ||||
\(626\) | −2.27197 | − | 6.24218i | −0.0908062 | − | 0.249488i | ||||
\(627\) | −0.954254 | − | 0.0744714i | −0.0381092 | − | 0.00297410i | ||||
\(628\) | 1.08292 | + | 0.758266i | 0.0432130 | + | 0.0302581i | ||||
\(629\) | −19.1642 | − | 33.1934i | −0.764127 | − | 1.32351i | ||||
\(630\) | −1.75958 | − | 18.4611i | −0.0701035 | − | 0.735508i | ||||
\(631\) | 0.459598 | − | 0.796047i | 0.0182963 | − | 0.0316901i | −0.856732 | − | 0.515761i | \(-0.827509\pi\) |
0.875029 | + | 0.484071i | \(0.160842\pi\) | |||||||
\(632\) | 3.28225 | − | 1.53054i | 0.130561 | − | 0.0608815i | ||||
\(633\) | −3.62614 | − | 37.4016i | −0.144126 | − | 1.48658i | ||||
\(634\) | −0.560241 | + | 0.667669i | −0.0222500 | + | 0.0265165i | ||||
\(635\) | −9.55230 | + | 16.1324i | −0.379072 | + | 0.640194i | ||||
\(636\) | −14.3541 | + | 5.37751i | −0.569177 | + | 0.213232i | ||||
\(637\) | 25.9168 | + | 55.5788i | 1.02686 | + | 2.20211i | ||||
\(638\) | 0.00172695 | 0.000462735i | 6.83707e−5 | 1.83199e-5i | ||||||
\(639\) | −1.15982 | − | 1.92454i | −0.0458819 | − | 0.0761338i | ||||
\(640\) | 19.4048 | − | 15.9219i | 0.767041 | − | 0.629369i | ||||
\(641\) | 28.1175 | − | 4.95787i | 1.11057 | − | 0.195824i | 0.411875 | − | 0.911240i | \(-0.364874\pi\) |
0.698699 | + | 0.715416i | \(0.253763\pi\) | |||||||
\(642\) | 4.06320 | − | 1.94132i | 0.160362 | − | 0.0766178i | ||||
\(643\) | 16.0061 | − | 34.3252i | 0.631220 | − | 1.35365i | −0.287133 | − | 0.957891i | \(-0.592702\pi\) |
0.918352 | − | 0.395764i | \(-0.129520\pi\) | |||||||
\(644\) | 3.26871 | − | 18.5378i | 0.128805 | − | 0.730492i | ||||
\(645\) | 0.655839 | − | 7.35866i | 0.0258236 | − | 0.289747i | ||||
\(646\) | 3.00385 | − | 2.52053i | 0.118185 | − | 0.0991688i | ||||
\(647\) | −30.2410 | + | 30.2410i | −1.18890 | + | 1.18890i | −0.211525 | + | 0.977373i | \(0.567843\pi\) |
−0.977373 | + | 0.211525i | \(0.932157\pi\) | |||||||
\(648\) | 19.8025 | − | 6.11112i | 0.777917 | − | 0.240067i | ||||
\(649\) | 0.190921i | 0.00749431i | ||||||||
\(650\) | −8.83540 | + | 14.5539i | −0.346553 | + | 0.570849i | ||||
\(651\) | −14.3420 | + | 8.46074i | −0.562105 | + | 0.331602i | ||||
\(652\) | −18.6874 | + | 13.0851i | −0.731856 | + | 0.512451i | ||||
\(653\) | −33.1747 | − | 15.4696i | −1.29823 | − | 0.605374i | −0.354178 | − | 0.935178i | \(-0.615239\pi\) |
−0.944049 | + | 0.329804i | \(0.893017\pi\) | |||||||
\(654\) | −2.46016 | + | 6.96178i | −0.0961998 | + | 0.272227i | ||||
\(655\) | −23.0603 | − | 11.0638i | −0.901039 | − | 0.432298i | ||||
\(656\) | 6.93039 | − | 4.00126i | 0.270586 | − | 0.156223i | ||||
\(657\) | −24.8375 | − | 23.9224i | −0.969002 | − | 0.933300i | ||||
\(658\) | 8.07523 | + | 30.1372i | 0.314805 | + | 1.17487i | ||||
\(659\) | 29.4659 | + | 10.7247i | 1.14783 | + | 0.417776i | 0.844735 | − | 0.535184i | \(-0.179758\pi\) |
0.303095 | + | 0.952960i | \(0.401980\pi\) | |||||||
\(660\) | 1.41579 | + | 2.46144i | 0.0551096 | + | 0.0958115i | ||||
\(661\) | 3.28171 | + | 2.75368i | 0.127644 | + | 0.107106i | 0.704375 | − | 0.709828i | \(-0.251227\pi\) |
−0.576731 | + | 0.816934i | \(0.695672\pi\) | |||||||
\(662\) | 4.56634 | − | 0.399503i | 0.177476 | − | 0.0155271i | ||||
\(663\) | 46.6941 | − | 4.52706i | 1.81345 | − | 0.175816i | ||||
\(664\) | −8.40938 | + | 23.1046i | −0.326347 | + | 0.896632i | ||||
\(665\) | 4.06272 | − | 10.7912i | 0.157546 | − | 0.418465i | ||||
\(666\) | −4.68847 | + | 13.6746i | −0.181674 | + | 0.529879i | ||||
\(667\) | −0.00429751 | + | 0.0160385i | −0.000166400 | + | 0.000621014i | ||||
\(668\) | 20.4392 | − | 29.1901i | 0.790815 | − | 1.12940i | ||||
\(669\) | 14.4720 | − | 12.3767i | 0.559520 | − | 0.478511i | ||||
\(670\) | −8.10974 | − | 2.26895i | −0.313307 | − | 0.0876573i | ||||
\(671\) | −1.04544 | − | 0.184339i | −0.0403587 | − | 0.00711633i | ||||
\(672\) | 40.9425 | − | 11.3833i | 1.57939 | − | 0.439120i | ||||
\(673\) | 2.48234 | − | 28.3733i | 0.0956872 | − | 1.09371i | −0.784835 | − | 0.619705i | \(-0.787252\pi\) |
0.880522 | − | 0.474005i | \(-0.157192\pi\) | |||||||
\(674\) | 18.4533 | 0.710793 | ||||||||
\(675\) | −25.0538 | + | 6.87817i | −0.964320 | + | 0.264741i | ||||
\(676\) | 24.0691 | 0.925735 | ||||||||
\(677\) | −3.71607 | + | 42.4749i | −0.142820 | + | 1.63244i | 0.499717 | + | 0.866189i | \(0.333437\pi\) |
−0.642537 | + | 0.766255i | \(0.722118\pi\) | |||||||
\(678\) | −5.57237 | − | 5.46877i | −0.214006 | − | 0.210027i | ||||
\(679\) | 36.3444 | + | 6.40849i | 1.39477 | + | 0.245935i | ||||
\(680\) | −25.3107 | − | 7.08146i | −0.970623 | − | 0.271562i | ||||
\(681\) | 3.13458 | + | 16.8510i | 0.120118 | + | 0.645731i | ||||
\(682\) | −0.379227 | + | 0.541592i | −0.0145213 | + | 0.0207386i | ||||
\(683\) | −4.42899 | + | 16.5292i | −0.169471 | + | 0.632473i | 0.827957 | + | 0.560792i | \(0.189503\pi\) |
−0.997428 | + | 0.0716812i | \(0.977164\pi\) | |||||||
\(684\) | 5.63430 | + | 0.884807i | 0.215433 | + | 0.0338314i | ||||
\(685\) | −8.12222 | + | 21.5738i | −0.310334 | + | 0.824293i | ||||
\(686\) | 4.30892 | − | 11.8386i | 0.164515 | − | 0.452002i | ||||
\(687\) | 9.79087 | + | 13.7073i | 0.373545 | + | 0.522965i | ||||
\(688\) | 3.22785 | − | 0.282400i | 0.123061 | − | 0.0107664i | ||||
\(689\) | 22.6501 | + | 19.0057i | 0.862901 | + | 0.724060i | ||||
\(690\) | 6.83844 | + | 0.0111016i | 0.260335 | + | 0.000422632i | ||||
\(691\) | −28.7479 | − | 10.4634i | −1.09362 | − | 0.398045i | −0.268660 | − | 0.963235i | \(-0.586581\pi\) |
−0.824961 | + | 0.565190i | \(0.808803\pi\) | |||||||
\(692\) | −0.949372 | − | 3.54310i | −0.0360897 | − | 0.134689i | ||||
\(693\) | 0.631410 | + | 5.93256i | 0.0239853 | + | 0.225359i | ||||
\(694\) | 16.3892 | − | 9.46233i | 0.622127 | − | 0.359185i | ||||
\(695\) | 3.48802 | + | 1.67347i | 0.132308 | + | 0.0634783i | ||||
\(696\) | −0.0236632 | + | 0.00440177i | −0.000896951 | + | 0.000166849i | ||||
\(697\) | −21.7951 | − | 10.1632i | −0.825547 | − | 0.384959i | ||||
\(698\) | 10.8280 | − | 7.58187i | 0.409847 | − | 0.286978i | ||||
\(699\) | 0.164423 | + | 17.5233i | 0.00621905 | + | 0.662792i | ||||
\(700\) | −33.2290 | + | 8.12418i | −1.25594 | + | 0.307065i | ||||
\(701\) | 33.1045i | 1.25034i | 0.780488 | + | 0.625171i | \(0.214971\pi\) | ||||
−0.780488 | + | 0.625171i | \(0.785029\pi\) | |||||||
\(702\) | −12.8586 | − | 12.1543i | −0.485315 | − | 0.458734i | ||||
\(703\) | −6.35572 | + | 6.35572i | −0.239710 | + | 0.239710i | ||||
\(704\) | 0.0911416 | − | 0.0764768i | 0.00343503 | − | 0.00288233i | ||||
\(705\) | 39.6454 | − | 18.4087i | 1.49313 | − | 0.693310i | ||||
\(706\) | −0.195420 | + | 1.10828i | −0.00735472 | + | 0.0417107i | ||||
\(707\) | 28.5783 | − | 61.2863i | 1.07480 | − | 2.30491i | ||||
\(708\) | 0.0885133 | − | 1.13418i | 0.00332653 | − | 0.0426252i | ||||
\(709\) | −36.6991 | + | 6.47105i | −1.37827 | + | 0.243025i | −0.813182 | − | 0.582009i | \(-0.802267\pi\) |
−0.565083 | + | 0.825034i | \(0.691156\pi\) | |||||||
\(710\) | 0.830898 | − | 0.681765i | 0.0311831 | − | 0.0255862i | ||||
\(711\) | −0.906370 | − | 4.63042i | −0.0339915 | − | 0.173654i | ||||
\(712\) | −28.2924 | + | 7.58092i | −1.06030 | + | 0.284107i | ||||
\(713\) | −2.59502 | − | 5.56503i | −0.0971841 | − | 0.208412i | ||||
\(714\) | −18.8699 | − | 15.5344i | −0.706189 | − | 0.581359i | ||||
\(715\) | 2.79074 | − | 4.71314i | 0.104368 | − | 0.176262i | ||||
\(716\) | 21.2116 | − | 25.2790i | 0.792716 | − | 0.944722i | ||||
\(717\) | −5.03639 | − | 2.29123i | −0.188087 | − | 0.0855674i | ||||
\(718\) | −10.9533 | + | 5.10759i | −0.408772 | + | 0.190614i | ||||
\(719\) | −21.5770 | + | 37.3725i | −0.804687 | + | 1.39376i | 0.111816 | + | 0.993729i | \(0.464333\pi\) |
−0.916502 | + | 0.400029i | \(0.869000\pi\) | |||||||
\(720\) | −4.89561 | − | 10.2895i | −0.182449 | − | 0.383465i | ||||
\(721\) | −30.1509 | − | 52.2229i | −1.12288 | − | 1.94488i | ||||
\(722\) | 9.23470 | + | 6.46621i | 0.343680 | + | 0.240647i | ||||
\(723\) | 15.1410 | + | 31.6903i | 0.563101 | + | 1.17857i | ||||
\(724\) | 1.75433 | + | 4.82000i | 0.0651993 | + | 0.179134i | ||||
\(725\) | 0.0298240 | − | 0.00458438i | 0.00110764 | − | 0.000170260i | ||||
\(726\) | −6.09211 | − | 10.3268i | −0.226099 | − | 0.383265i | ||||
\(727\) | 6.75332 | + | 0.590839i | 0.250467 | + | 0.0219130i | 0.211698 | − | 0.977335i | \(-0.432101\pi\) |
0.0387690 | + | 0.999248i | \(0.487656\pi\) | |||||||
\(728\) | −37.2180 | − | 37.2180i | −1.37939 | − | 1.37939i | ||||
\(729\) | −1.51922 | − | 26.9572i | −0.0562673 | − | 0.998416i | ||||
\(730\) | 9.60915 | − | 13.4068i | 0.355651 | − | 0.496207i | ||||
\(731\) | −6.25882 | − | 7.45897i | −0.231491 | − | 0.275880i | ||||
\(732\) | 6.12505 | + | 1.57976i | 0.226388 | + | 0.0583896i | ||||
\(733\) | 14.5660 | + | 20.8024i | 0.538006 | + | 0.768353i | 0.992480 | − | 0.122408i | \(-0.0390615\pi\) |
−0.454474 | + | 0.890760i | \(0.650173\pi\) | |||||||
\(734\) | −16.2116 | + | 5.90055i | −0.598382 | + | 0.217793i | ||||
\(735\) | −44.0683 | − | 7.84421i | −1.62548 | − | 0.289338i | ||||
\(736\) | 2.72113 | + | 15.4323i | 0.100302 | + | 0.568841i | ||||
\(737\) | 2.61687 | + | 0.701189i | 0.0963937 | + | 0.0258286i | ||||
\(738\) | 2.51148 | + | 8.71539i | 0.0924489 | + | 0.320818i | ||||
\(739\) | 31.3022 | + | 18.0723i | 1.15147 | + | 0.664801i | 0.949245 | − | 0.314538i | \(-0.101850\pi\) |
0.202224 | + | 0.979339i | \(0.435183\pi\) | |||||||
\(740\) | 26.2078 | + | 4.91916i | 0.963420 | + | 0.180832i | ||||
\(741\) | −3.85957 | − | 10.3023i | −0.141785 | − | 0.378463i | ||||
\(742\) | −1.34261 | − | 15.3461i | −0.0492886 | − | 0.563371i | ||||
\(743\) | −3.12862 | − | 35.7603i | −0.114778 | − | 1.31192i | −0.807136 | − | 0.590365i | \(-0.798984\pi\) |
0.692358 | − | 0.721554i | \(-0.256572\pi\) | |||||||
\(744\) | 5.65712 | − | 6.87182i | 0.207400 | − | 0.251933i | ||||
\(745\) | 5.79662 | + | 8.47546i | 0.212372 | + | 0.310517i | ||||
\(746\) | −1.75479 | − | 1.01313i | −0.0642473 | − | 0.0370932i | ||||
\(747\) | 26.5803 | + | 17.8779i | 0.972522 | + | 0.654119i | ||||
\(748\) | 3.61497 | + | 0.968627i | 0.132176 | + | 0.0354165i | ||||
\(749\) | −3.03056 | − | 17.1872i | −0.110734 | − | 0.628006i | ||||
\(750\) | −4.98432 | − | 11.3839i | −0.182002 | − | 0.415680i | ||||
\(751\) | 20.6234 | − | 7.50630i | 0.752558 | − | 0.273909i | 0.0628763 | − | 0.998021i | \(-0.479973\pi\) |
0.689682 | + | 0.724113i | \(0.257750\pi\) | |||||||
\(752\) | 10.9959 | + | 15.7038i | 0.400981 | + | 0.572660i | ||||
\(753\) | −6.59210 | − | 23.7099i | −0.240230 | − | 0.864038i | ||||
\(754\) | 0.0132091 | + | 0.0157420i | 0.000481047 | + | 0.000573290i | ||||
\(755\) | −8.05261 | − | 5.77161i | −0.293065 | − | 0.210051i | ||||
\(756\) | −1.00054 | − | 35.5356i | −0.0363892 | − | 1.29242i | ||||
\(757\) | −19.9998 | − | 19.9998i | −0.726906 | − | 0.726906i | 0.243096 | − | 0.970002i | \(-0.421837\pi\) |
−0.970002 | + | 0.243096i | \(0.921837\pi\) | |||||||
\(758\) | −4.66559 | − | 0.408186i | −0.169462 | − | 0.0148260i | ||||
\(759\) | −2.19991 | + | 0.0206420i | −0.0798516 | + | 0.000749256i | ||||
\(760\) | −0.0678358 | + | 6.16314i | −0.00246066 | + | 0.223561i | ||||
\(761\) | 17.7365 | + | 48.7306i | 0.642947 | + | 1.76648i | 0.642264 | + | 0.766484i | \(0.277995\pi\) |
0.000683402 | 1.00000i | \(0.499782\pi\) | ||||||||
\(762\) | 5.27364 | − | 7.68399i | 0.191044 | − | 0.278362i | ||||
\(763\) | 23.4409 | + | 16.4135i | 0.848619 | + | 0.594209i | ||||
\(764\) | 0.366534 | + | 0.634856i | 0.0132607 | + | 0.0229683i | ||||
\(765\) | −16.8904 | + | 29.7864i | −0.610674 | + | 1.07693i | ||||
\(766\) | 5.89884 | − | 10.2171i | 0.213134 | − | 0.369159i | ||||
\(767\) | −1.98884 | + | 0.927410i | −0.0718127 | + | 0.0334868i | ||||
\(768\) | −10.8797 | + | 7.77122i | −0.392589 | + | 0.280420i | ||||
\(769\) | −28.9226 | + | 34.4686i | −1.04298 | + | 1.24297i | −0.0736257 | + | 0.997286i | \(0.523457\pi\) |
−0.969350 | + | 0.245684i | \(0.920987\pi\) | |||||||
\(770\) | −2.76444 | + | 0.708213i | −0.0996234 | + | 0.0255222i | ||||
\(771\) | −8.05659 | + | 48.3391i | −0.290151 | + | 1.74089i | ||||
\(772\) | 1.52698 | + | 3.27462i | 0.0549572 | + | 0.117856i | ||||
\(773\) | 23.2025 | − | 6.21709i | 0.834536 | − | 0.223613i | 0.183844 | − | 0.982955i | \(-0.441146\pi\) |
0.650691 | + | 0.759342i | \(0.274479\pi\) | |||||||
\(774\) | −0.569731 | + | 3.62795i | −0.0204786 | + | 0.130404i | ||||
\(775\) | −7.35900 | + | 8.38802i | −0.264343 | + | 0.301306i | ||||
\(776\) | −19.4273 | + | 3.42556i | −0.697399 | + | 0.122970i | ||||
\(777\) | 46.1928 | + | 31.7028i | 1.65716 | + | 1.13733i | ||||
\(778\) | −5.69992 | + | 12.2235i | −0.204352 | + | 0.438234i | ||||
\(779\) | −0.979290 | + | 5.55383i | −0.0350867 | + | 0.198987i | ||||
\(780\) | −18.7637 | + | 26.7050i | −0.671849 | + | 0.956192i | ||||
\(781\) | −0.264879 | + | 0.222260i | −0.00947813 | + | 0.00795309i | ||||
\(782\) | 6.37309 | − | 6.37309i | 0.227901 | − | 0.227901i | ||||
\(783\) | −0.00185275 | + | 0.0313033i | −6.62117e−5 | + | 0.00111869i | ||||
\(784\) | − | 19.6314i | − | 0.701122i | ||||||
\(785\) | 1.41259 | + | 1.21205i | 0.0504175 | + | 0.0432597i | ||||
\(786\) | 11.0699 | + | 6.25344i | 0.394849 | + | 0.223053i | ||||
\(787\) | 26.9699 | − | 18.8846i | 0.961375 | − | 0.673162i | 0.0162488 | − | 0.999868i | \(-0.494828\pi\) |
0.945126 | + | 0.326706i | \(0.105939\pi\) | |||||||
\(788\) | 38.4347 | + | 17.9224i | 1.36918 | + | 0.638460i | ||||
\(789\) | 5.90923 | + | 6.90963i | 0.210374 | + | 0.245989i | ||||
\(790\) | 2.12913 | − | 0.748508i | 0.0757512 | − | 0.0266307i | ||||
\(791\) | −26.2051 | + | 15.1295i | −0.931746 | + | 0.537944i | ||||
\(792\) | −1.40175 | − | 2.86447i | −0.0498092 | − | 0.101785i | ||||
\(793\) | −3.15800 | − | 11.7858i | −0.112144 | − | 0.418527i | ||||
\(794\) | −20.4646 | − | 7.44852i | −0.726263 | − | 0.264338i | ||||
\(795\) | −20.8552 | + | 5.55187i | −0.739658 | + | 0.196904i | ||||
\(796\) | −29.0150 | − | 24.3465i | −1.02841 | − | 0.862939i | ||||
\(797\) | −46.3175 | + | 4.05225i | −1.64065 | + | 0.143538i | −0.869774 | − | 0.493449i | \(-0.835736\pi\) |
−0.770874 | + | 0.636988i | \(0.780180\pi\) | |||||||
\(798\) | −2.37350 | + | 5.21724i | −0.0840209 | + | 0.184688i | ||||
\(799\) | 19.7037 | − | 54.1355i | 0.697068 | − | 1.91518i | ||||
\(800\) | 23.6809 | − | 15.8164i | 0.837247 | − | 0.559194i | ||||
\(801\) | 0.716067 | + | 38.1539i | 0.0253010 | + | 1.34810i | ||||
\(802\) | −4.51810 | + | 16.8618i | −0.159540 | + | 0.595410i | ||||
\(803\) | −3.04371 | + | 4.34687i | −0.107410 | + | 0.153398i | ||||
\(804\) | −15.2207 | − | 5.37868i | −0.536792 | − | 0.189692i | ||||
\(805\) | 7.14081 | − | 25.5229i | 0.251681 | − | 0.899563i | ||||
\(806\) | −7.48391 | − | 1.31962i | −0.263610 | − | 0.0464815i | ||||
\(807\) | −4.85958 | + | 18.8416i | −0.171065 | + | 0.663256i | ||||
\(808\) | −3.15035 | + | 36.0087i | −0.110829 | + | 1.26678i | ||||
\(809\) | 14.6731 | 0.515879 | 0.257939 | − | 0.966161i | \(-0.416957\pi\) | ||||
0.257939 | + | 0.966161i | \(0.416957\pi\) | |||||||
\(810\) | 12.6546 | − | 2.57916i | 0.444637 | − | 0.0906223i | ||||
\(811\) | 30.4369 | 1.06878 | 0.534392 | − | 0.845237i | \(-0.320541\pi\) | ||||
0.534392 | + | 0.845237i | \(0.320541\pi\) | |||||||
\(812\) | −0.00359846 | + | 0.0411306i | −0.000126281 | + | 0.00144340i | ||||
\(813\) | −6.65600 | + | 25.8067i | −0.233436 | + | 0.905080i | ||||
\(814\) | 2.19073 | + | 0.386284i | 0.0767849 | + | 0.0135393i | ||||
\(815\) | −27.9916 | + | 15.7528i | −0.980504 | + | 0.551796i | ||||
\(816\) | −14.1599 | − | 5.00381i | −0.495694 | − | 0.175169i | ||||
\(817\) | −1.30971 | + | 1.87046i | −0.0458209 | + | 0.0654390i | ||||
\(818\) | 2.25486 | − | 8.41525i | 0.0788393 | − | 0.294232i | ||||
\(819\) | −58.7327 | + | 35.3952i | −2.05229 | + | 1.23681i | ||||
\(820\) | 15.2400 | − | 6.90334i | 0.532203 | − | 0.241075i | ||||
\(821\) | 5.06906 | − | 13.9271i | 0.176911 | − | 0.486060i | −0.819266 | − | 0.573414i | \(-0.805619\pi\) |
0.996177 | + | 0.0873536i | \(0.0278410\pi\) | |||||||
\(822\) | 4.74511 | − | 10.4303i | 0.165505 | − | 0.363799i | ||||
\(823\) | −11.9027 | + | 1.04135i | −0.414903 | + | 0.0362993i | −0.292696 | − | 0.956205i | \(-0.594553\pi\) |
−0.122206 | + | 0.992505i | \(0.538997\pi\) | |||||||
\(824\) | 24.6922 | + | 20.7192i | 0.860193 | + | 0.721788i | ||||
\(825\) | 1.64372 | + | 3.64445i | 0.0572271 | + | 0.126884i | ||||
\(826\) | 1.07435 | + | 0.391031i | 0.0373813 | + | 0.0136057i | ||||
\(827\) | 1.44038 | + | 5.37558i | 0.0500870 | + | 0.186927i | 0.986437 | − | 0.164141i | \(-0.0524852\pi\) |
−0.936350 | + | 0.351068i | \(0.885819\pi\) | |||||||
\(828\) | 13.0783 | + | 0.897279i | 0.454503 | + | 0.0311826i | ||||
\(829\) | 34.1754 | − | 19.7312i | 1.18696 | − | 0.685293i | 0.229347 | − | 0.973345i | \(-0.426341\pi\) |
0.957615 | + | 0.288052i | \(0.0930076\pi\) | |||||||
\(830\) | −6.62793 | + | 13.8146i | −0.230059 | + | 0.479512i | ||||
\(831\) | −18.4856 | − | 21.6151i | −0.641258 | − | 0.749820i | ||||
\(832\) | 1.23939 | + | 0.577937i | 0.0429681 | + | 0.0200364i | ||||
\(833\) | −48.3250 | + | 33.8375i | −1.67436 | + | 1.17240i | ||||
\(834\) | −1.67439 | − | 0.945873i | −0.0579793 | − | 0.0327529i | ||||
\(835\) | 32.6709 | − | 38.0766i | 1.13062 | − | 1.31769i | ||||
\(836\) | − | 0.877645i | − | 0.0303540i | ||||||
\(837\) | −6.91610 | − | 9.30819i | −0.239055 | − | 0.321738i | ||||
\(838\) | 5.79766 | − | 5.79766i | 0.200277 | − | 0.200277i | ||||
\(839\) | −34.4322 | + | 28.8921i | −1.18873 | + | 0.997464i | −0.188851 | + | 0.982006i | \(0.560476\pi\) |
−0.999881 | + | 0.0154586i | \(0.995079\pi\) | |||||||
\(840\) | 37.8451 | − | 6.60978i | 1.30578 | − | 0.228059i | ||||
\(841\) | −5.03579 | + | 28.5594i | −0.173648 | + | 0.984807i | ||||
\(842\) | 4.88471 | − | 10.4753i | 0.168338 | − | 0.361003i | ||||
\(843\) | 13.7801 | + | 9.45749i | 0.474612 | + | 0.325733i | ||||
\(844\) | 33.9320 | − | 5.98313i | 1.16799 | − | 0.205948i | ||||
\(845\) | 33.7247 | + | 3.32492i | 1.16016 | + | 0.114381i | ||||
\(846\) | −20.2748 | + | 7.81330i | −0.697061 | + | 0.268627i | ||||
\(847\) | −44.8845 | + | 12.0268i | −1.54225 | + | 0.413244i | ||||
\(848\) | −4.00021 | − | 8.57848i | −0.137368 | − | 0.294586i | ||||
\(849\) | −4.41930 | + | 26.5156i | −0.151670 | + | 0.910012i | ||||
\(850\) | −15.2640 | − | 5.93929i | −0.523551 | − | 0.203716i | ||||
\(851\) | −13.2797 | + | 15.8261i | −0.455222 | + | 0.542513i | ||||
\(852\) | 1.67658 | − | 1.19755i | 0.0574387 | − | 0.0410275i | ||||
\(853\) | −7.95489 | + | 3.70943i | −0.272370 | + | 0.127008i | −0.554005 | − | 0.832513i | \(-0.686901\pi\) |
0.281635 | + | 0.959522i | \(0.409123\pi\) | |||||||
\(854\) | −3.17850 | + | 5.50532i | −0.108766 | + | 0.188388i | ||||
\(855\) | 7.77232 | + | 2.01808i | 0.265808 | + | 0.0690169i | ||||
\(856\) | 4.66443 | + | 8.07903i | 0.159427 | + | 0.276135i | ||||
\(857\) | −28.3204 | − | 19.8301i | −0.967406 | − | 0.677385i | −0.0208017 | − | 0.999784i | \(-0.506622\pi\) |
−0.946604 | + | 0.322399i | \(0.895511\pi\) | |||||||
\(858\) | −1.54072 | + | 2.24491i | −0.0525991 | + | 0.0766399i | ||||
\(859\) | −6.70299 | − | 18.4163i | −0.228703 | − | 0.628357i | 0.771264 | − | 0.636516i | \(-0.219625\pi\) |
−0.999967 | + | 0.00815913i | \(0.997403\pi\) | |||||||
\(860\) | 6.77372 | + | 0.0745562i | 0.230982 | + | 0.00254235i | ||||
\(861\) | 35.1502 | − | 0.329818i | 1.19791 | − | 0.0112402i | ||||
\(862\) | −3.06997 | − | 0.268587i | −0.104563 | − | 0.00914812i | ||||
\(863\) | −29.8911 | − | 29.8911i | −1.01750 | − | 1.01750i | −0.999844 | − | 0.0176605i | \(-0.994378\pi\) |
−0.0176605 | − | 0.999844i | \(-0.505622\pi\) | |||||||
\(864\) | 10.9005 | + | 27.5136i | 0.370843 | + | 0.936032i | ||||
\(865\) | −0.840774 | − | 5.09560i | −0.0285872 | − | 0.173255i | ||||
\(866\) | −13.8033 | − | 16.4501i | −0.469055 | − | 0.558998i | ||||
\(867\) | 4.20164 | + | 15.1121i | 0.142695 | + | 0.513234i | ||||
\(868\) | −8.75757 | − | 12.5071i | −0.297251 | − | 0.424519i | ||||
\(869\) | −0.682275 | + | 0.248328i | −0.0231446 | + | 0.00842394i | ||||
\(870\) | −0.0149444 | + | 0.00128302i | −0.000506661 | + | 4.34984e-5i | ||||
\(871\) | 5.40728 | + | 30.6662i | 0.183219 | + | 1.03908i | ||||
\(872\) | −14.7751 | − | 3.95897i | −0.500347 | − | 0.134068i | ||||
\(873\) | −1.75916 | + | 25.6407i | −0.0595386 | + | 0.867807i | ||||
\(874\) | −1.83043 | − | 1.05680i | −0.0619154 | − | 0.0357469i | ||||
\(875\) | −47.6813 | + | 6.79299i | −1.61192 | + | 0.229645i | ||||
\(876\) | 20.0967 | − | 24.4119i | 0.679005 | − | 0.824801i | ||||
\(877\) | −2.86019 | − | 32.6921i | −0.0965817 | − | 1.10393i | −0.877590 | − | 0.479413i | \(-0.840850\pi\) |
0.781008 | − | 0.624521i | \(-0.214706\pi\) | |||||||
\(878\) | 0.0301948 | + | 0.345129i | 0.00101903 | + | 0.0116475i | ||||
\(879\) | −5.86171 | − | 15.6465i | −0.197711 | − | 0.527745i | ||||
\(880\) | −1.44732 | + | 0.989867i | −0.0487892 | + | 0.0333684i | ||||
\(881\) | −10.5631 | − | 6.09860i | −0.355879 | − | 0.205467i | 0.311392 | − | 0.950281i | \(-0.399205\pi\) |
−0.667272 | + | 0.744814i | \(0.732538\pi\) | |||||||
\(882\) | 21.5963 | + | 5.35447i | 0.727186 | + | 0.180294i | ||||
\(883\) | −34.3877 | − | 9.21415i | −1.15724 | − | 0.310081i | −0.371376 | − | 0.928483i | \(-0.621114\pi\) |
−0.785862 | + | 0.618402i | \(0.787780\pi\) | |||||||
\(884\) | 7.46965 | + | 42.3625i | 0.251232 | + | 1.42480i | ||||
\(885\) | 0.280698 | − | 1.57694i | 0.00943556 | − | 0.0530083i | ||||
\(886\) | −3.13665 | + | 1.14165i | −0.105378 | + | 0.0383544i | ||||
\(887\) | 5.74909 | + | 8.21054i | 0.193035 | + | 0.275683i | 0.903989 | − | 0.427556i | \(-0.140625\pi\) |
−0.710954 | + | 0.703239i | \(0.751736\pi\) | |||||||
\(888\) | −28.9985 | − | 7.47922i | −0.973126 | − | 0.250986i | ||||
\(889\) | −23.2168 | − | 27.6687i | −0.778666 | − | 0.927978i | ||||
\(890\) | −18.0096 | + | 2.97159i | −0.603684 | + | 0.0996080i | ||||
\(891\) | −4.06175 | + | 0.874500i | −0.136074 | + | 0.0292969i | ||||
\(892\) | 12.3466 | + | 12.3466i | 0.413396 | + | 0.413396i | ||||
\(893\) | −13.4586 | − | 1.17747i | −0.450374 | − | 0.0394027i | ||||
\(894\) | −2.59345 | − | 4.39620i | −0.0867378 | − | 0.147031i | ||||
\(895\) | 33.2129 | − | 32.4897i | 1.11019 | − | 1.08601i | ||||
\(896\) | 16.5391 | + | 45.4408i | 0.552532 | + | 1.51807i | ||||
\(897\) | −10.9012 | − | 22.8163i | −0.363981 | − | 0.761815i | ||||
\(898\) | 7.35763 | + | 5.15187i | 0.245527 | + | 0.171920i | ||||
\(899\) | 0.00673405 | + | 0.0116637i | 0.000224593 | + | 0.000389007i | ||||
\(900\) | −8.07507 | − | 22.4122i | −0.269169 | − | 0.747074i | ||||
\(901\) | −14.2220 | + | 24.6332i | −0.473803 | + | 0.820651i | ||||
\(902\) | 1.26495 | − | 0.589856i | 0.0421183 | − | 0.0196401i | ||||
\(903\) | 12.9551 | + | 5.89372i | 0.431119 | + | 0.196131i | ||||
\(904\) | 10.3968 | − | 12.3904i | 0.345791 | − | 0.412098i | ||||
\(905\) | 1.79226 | + | 6.99592i | 0.0595769 | + | 0.232552i | ||||
\(906\) | 3.80219 | + | 3.13010i | 0.126319 | + | 0.103990i | ||||
\(907\) | −7.47482 | − | 16.0298i | −0.248197 | − | 0.532261i | 0.742255 | − | 0.670118i | \(-0.233756\pi\) |
−0.990452 | + | 0.137857i | \(0.955979\pi\) | |||||||
\(908\) | −15.1807 | + | 4.06766i | −0.503790 | + | 0.134990i | ||||
\(909\) | 44.5470 | + | 15.2734i | 1.47753 | + | 0.506587i | ||||
\(910\) | −20.8059 | − | 25.3571i | −0.689709 | − | 0.840581i | ||||
\(911\) | 15.2588 | − | 2.69054i | 0.505547 | − | 0.0891416i | 0.0849428 | − | 0.996386i | \(-0.472929\pi\) |
0.420604 | + | 0.907244i | \(0.361818\pi\) | |||||||
\(912\) | −0.274017 | + | 3.51117i | −0.00907360 | + | 0.116266i | ||||
\(913\) | 2.08324 | − | 4.46752i | 0.0689451 | − | 0.147853i | ||||
\(914\) | 0.427785 | − | 2.42609i | 0.0141499 | − | 0.0802478i | ||||
\(915\) | 8.36394 | + | 3.05961i | 0.276503 | + | 0.101148i | ||||
\(916\) | −11.8320 | + | 9.92824i | −0.390941 | + | 0.328038i | ||||
\(917\) | 34.8423 | − | 34.8423i | 1.15059 | − | 1.15059i | ||||
\(918\) | 9.36675 | − | 14.2123i | 0.309149 | − | 0.469077i | ||||
\(919\) | 18.6392i | 0.614851i | 0.951572 | + | 0.307426i | \(0.0994676\pi\) | ||||
−0.951572 | + | 0.307426i | \(0.900532\pi\) | |||||||
\(920\) | 1.07931 | + | 14.1256i | 0.0355839 | + | 0.465706i | ||||
\(921\) | −0.0712484 | − | 7.59326i | −0.00234771 | − | 0.250206i | ||||
\(922\) | −11.7140 | + | 8.20222i | −0.385779 | + | 0.270126i | ||||
\(923\) | −3.60196 | − | 1.67962i | −0.118560 | − | 0.0552855i | ||||
\(924\) | −5.37821 | + | 1.00044i | −0.176930 | + | 0.0329121i | ||||
\(925\) | 36.0418 | + | 10.5129i | 1.18505 | + | 0.345662i | ||||
\(926\) | 0.663128 | − | 0.382857i | 0.0217917 | − | 0.0125815i | ||||
\(927\) | 33.9420 | − | 24.7285i | 1.11480 | − | 0.812189i | ||||
\(928\) | −0.00889589 | − | 0.0331999i | −0.000292022 | − | 0.00108984i | ||||
\(929\) | 9.92982 | + | 3.61416i | 0.325787 | + | 0.118577i | 0.499736 | − | 0.866178i | \(-0.333431\pi\) |
−0.173949 | + | 0.984755i | \(0.555653\pi\) | |||||||
\(930\) | 3.92855 | − | 3.91581i | 0.128822 | − | 0.128405i | ||||
\(931\) | 10.5979 | + | 8.89269i | 0.347332 | + | 0.291446i | ||||
\(932\) | −16.0072 | + | 1.40045i | −0.524334 | + | 0.0458733i | ||||
\(933\) | 8.34801 | + | 11.6873i | 0.273302 | + | 0.382623i | ||||
\(934\) | 0.197650 | − | 0.543040i | 0.00646732 | − | 0.0177688i | ||||
\(935\) | 4.93133 | + | 1.85657i | 0.161272 | + | 0.0607165i | ||||
\(936\) | 23.0303 | − | 28.5165i | 0.752769 | − | 0.932091i | ||||
\(937\) | 3.84529 | − | 14.3508i | 0.125620 | − | 0.468820i | −0.874241 | − | 0.485492i | \(-0.838640\pi\) |
0.999861 | + | 0.0166719i | \(0.00530709\pi\) | |||||||
\(938\) | 9.30540 | − | 13.2895i | 0.303832 | − | 0.433917i | ||||
\(939\) | −3.27884 | − | 17.6265i | −0.107001 | − | 0.575219i | ||||
\(940\) | 19.6567 | + | 34.9286i | 0.641130 | + | 1.13924i | ||||
\(941\) | 16.9600 | + | 2.99051i | 0.552882 | + | 0.0974879i | 0.443107 | − | 0.896469i | \(-0.353876\pi\) |
0.109774 | + | 0.993957i | \(0.464987\pi\) | |||||||
\(942\) | −0.660350 | − | 0.648073i | −0.0215154 | − | 0.0211154i | ||||
\(943\) | −1.12974 | + | 12.9130i | −0.0367894 | + | 0.420504i | ||||
\(944\) | 0.702492 | 0.0228642 | ||||||||
\(945\) | 3.50700 | − | 49.9292i | 0.114083 | − | 1.62420i | ||||
\(946\) | 0.565120 | 0.0183736 | ||||||||
\(947\) | 5.19344 | − | 59.3613i | 0.168764 | − | 1.92898i | −0.164940 | − | 0.986304i | \(-0.552743\pi\) |
0.333704 | − | 0.942678i | \(-0.391701\pi\) | |||||||
\(948\) | 4.16824 | − | 1.15890i | 0.135378 | − | 0.0376394i | ||||
\(949\) | −60.0667 | − | 10.5914i | −1.94985 | − | 0.343811i | ||||
\(950\) | −0.418902 | + | 3.81806i | −0.0135910 | + | 0.123874i | ||||
\(951\) | −1.78777 | + | 1.52893i | −0.0579723 | + | 0.0495789i | ||||
\(952\) | 29.0424 | − | 41.4769i | 0.941271 | − | 1.34427i | ||||
\(953\) | −2.03332 | + | 7.58847i | −0.0658658 | + | 0.245815i | −0.991007 | − | 0.133808i | \(-0.957279\pi\) |
0.925141 | + | 0.379623i | \(0.123946\pi\) | |||||||
\(954\) | 10.5282 | − | 2.06081i | 0.340862 | − | 0.0667212i | ||||
\(955\) | 0.425874 | + | 0.940168i | 0.0137809 | + | 0.0304231i | ||||
\(956\) | 1.73522 | − | 4.76748i | 0.0561211 | − | 0.154191i | ||||
\(957\) | 0.00480293 | 0.000465651i | 0.000155257 | 1.50524e-5i | ||||||
\(958\) | 18.7946 | − | 1.64431i | 0.607225 | − | 0.0531253i | ||||
\(959\) | −34.0202 | − | 28.5463i | −1.09857 | − | 0.921808i | ||||
\(960\) | −0.865237 | + | 0.497674i | −0.0279254 | + | 0.0160623i | ||||
\(961\) | 24.4503 | + | 8.89918i | 0.788719 | + | 0.287070i | ||||
\(962\) | 6.61763 | + | 24.6973i | 0.213361 | + | 0.796274i | ||||
\(963\) | 11.6787 | − | 3.36542i | 0.376342 | − | 0.108449i | ||||
\(964\) | −27.8895 | + | 16.1020i | −0.898261 | + | 0.518611i | ||||
\(965\) | 1.68718 | + | 4.79920i | 0.0543123 | + | 0.154492i | ||||
\(966\) | −4.38954 | + | 12.4216i | −0.141231 | + | 0.399657i | ||||
\(967\) | −28.2347 | − | 13.1660i | −0.907966 | − | 0.423392i | −0.0882085 | − | 0.996102i | \(-0.528114\pi\) |
−0.819758 | + | 0.572710i | \(0.805892\pi\) | |||||||
\(968\) | 20.3466 | − | 14.2469i | 0.653965 | − | 0.457911i | ||||
\(969\) | 9.11545 | − | 5.37747i | 0.292830 | − | 0.172749i | ||||
\(970\) | −12.2577 | + | 0.936590i | −0.393571 | + | 0.0300721i | ||||
\(971\) | 46.4614i | 1.49102i | 0.666496 | + | 0.745509i | \(0.267793\pi\) | ||||
−0.666496 | + | 0.745509i | \(0.732207\pi\) | |||||||
\(972\) | 24.5346 | − | 3.31197i | 0.786947 | − | 0.106231i | ||||
\(973\) | −5.27012 | + | 5.27012i | −0.168952 | + | 0.168952i | ||||
\(974\) | 15.7126 | − | 13.1844i | 0.503464 | − | 0.422456i | ||||
\(975\) | −29.9800 | + | 34.8259i | −0.960128 | + | 1.11532i | ||||
\(976\) | −0.678273 | + | 3.84668i | −0.0217110 | + | 0.123129i | ||||
\(977\) | −14.4520 | + | 30.9924i | −0.462360 | + | 0.991534i | 0.527509 | + | 0.849549i | \(0.323126\pi\) |
−0.989869 | + | 0.141985i | \(0.954652\pi\) | |||||||
\(978\) | 14.4065 | − | 6.88317i | 0.460670 | − | 0.220100i | ||||
\(979\) | 5.78303 | − | 1.01970i | 0.184826 | − | 0.0325899i | ||||
\(980\) | 4.02689 | − | 40.8447i | 0.128634 | − | 1.30474i | ||||
\(981\) | −9.63865 | + | 17.4425i | −0.307739 | + | 0.556897i | ||||
\(982\) | −7.87006 | + | 2.10878i | −0.251144 | + | 0.0672937i | ||||
\(983\) | −15.0350 | − | 32.2428i | −0.479543 | − | 1.02838i | −0.986096 | − | 0.166175i | \(-0.946858\pi\) |
0.506553 | − | 0.862209i | \(-0.330919\pi\) | |||||||
\(984\) | −17.5955 | + | 6.59187i | −0.560925 | + | 0.210141i | ||||
\(985\) | 51.3774 | + | 30.4216i | 1.63702 | + | 0.969311i | ||||
\(986\) | −0.0127071 | + | 0.0151438i | −0.000404677 | + | 0.000482275i | ||||
\(987\) | 8.12612 | + | 83.8164i | 0.258657 | + | 2.66791i | ||||
\(988\) | 9.14249 | − | 4.26321i | 0.290861 | − | 0.135631i | ||||
\(989\) | −2.62418 | + | 4.54522i | −0.0834442 | + | 0.144530i | ||||
\(990\) | −0.694185 | − | 1.86217i | −0.0220627 | − | 0.0591837i | ||||
\(991\) | −2.77369 | − | 4.80418i | −0.0881092 | − | 0.152610i | 0.818603 | − | 0.574360i | \(-0.194749\pi\) |
−0.906712 | + | 0.421751i | \(0.861416\pi\) | |||||||
\(992\) | 10.4119 | + | 7.29047i | 0.330577 | + | 0.231473i | ||||
\(993\) | 12.3341 | + | 0.962571i | 0.391411 | + | 0.0305463i | ||||
\(994\) | 0.708192 | + | 1.94574i | 0.0224625 | + | 0.0617152i | ||||
\(995\) | −37.2915 | − | 38.1215i | −1.18222 | − | 1.20853i | ||||
\(996\) | −14.4468 | + | 25.5739i | −0.457766 | + | 0.810338i | ||||
\(997\) | 30.3931 | + | 2.65905i | 0.962558 | + | 0.0842129i | 0.557589 | − | 0.830117i | \(-0.311727\pi\) |
0.404969 | + | 0.914330i | \(0.367282\pi\) | |||||||
\(998\) | −5.48435 | − | 5.48435i | −0.173604 | − | 0.173604i | ||||
\(999\) | −18.5496 | + | 34.3251i | −0.586883 | + | 1.08600i |
(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 | 135.2.q.a.32.10 | ✓ | 192 | |
3.2 | odd | 2 | 405.2.r.a.287.7 | 192 | |||
5.2 | odd | 4 | 675.2.ba.b.518.10 | 192 | |||
5.3 | odd | 4 | inner | 135.2.q.a.113.7 | yes | 192 | |
5.4 | even | 2 | 675.2.ba.b.32.7 | 192 | |||
15.8 | even | 4 | 405.2.r.a.368.10 | 192 | |||
27.11 | odd | 18 | inner | 135.2.q.a.92.7 | yes | 192 | |
27.16 | even | 9 | 405.2.r.a.197.10 | 192 | |||
135.38 | even | 36 | inner | 135.2.q.a.38.10 | yes | 192 | |
135.43 | odd | 36 | 405.2.r.a.278.7 | 192 | |||
135.92 | even | 36 | 675.2.ba.b.443.7 | 192 | |||
135.119 | odd | 18 | 675.2.ba.b.632.10 | 192 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
135.2.q.a.32.10 | ✓ | 192 | 1.1 | even | 1 | trivial | |
135.2.q.a.38.10 | yes | 192 | 135.38 | even | 36 | inner | |
135.2.q.a.92.7 | yes | 192 | 27.11 | odd | 18 | inner | |
135.2.q.a.113.7 | yes | 192 | 5.3 | odd | 4 | inner | |
405.2.r.a.197.10 | 192 | 27.16 | even | 9 | |||
405.2.r.a.278.7 | 192 | 135.43 | odd | 36 | |||
405.2.r.a.287.7 | 192 | 3.2 | odd | 2 | |||
405.2.r.a.368.10 | 192 | 15.8 | even | 4 | |||
675.2.ba.b.32.7 | 192 | 5.4 | even | 2 | |||
675.2.ba.b.443.7 | 192 | 135.92 | even | 36 | |||
675.2.ba.b.518.10 | 192 | 5.2 | odd | 4 | |||
675.2.ba.b.632.10 | 192 | 135.119 | odd | 18 |