Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [144,2,Mod(13,144)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(144, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 9, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("144.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 144 = 2^{4} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 144.x (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.14984578911\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 13.3 | ||
Character | \(\chi\) | \(=\) | 144.13 |
Dual form | 144.2.x.e.133.3 |
$q$-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 \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(65\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{1}{3}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.17822 | − | 0.782180i | −0.833125 | − | 0.553085i | ||||
\(3\) | 1.34849 | + | 1.08700i | 0.778552 | + | 0.627580i | ||||
\(4\) | 0.776390 | + | 1.84315i | 0.388195 | + | 0.921577i | ||||
\(5\) | −0.777246 | − | 2.90072i | −0.347595 | − | 1.29724i | −0.889551 | − | 0.456835i | \(-0.848983\pi\) |
0.541957 | − | 0.840406i | \(-0.317684\pi\) | |||||||
\(6\) | −0.738585 | − | 2.33549i | −0.301526 | − | 0.953458i | ||||
\(7\) | 1.04527 | − | 0.603486i | 0.395074 | − | 0.228096i | −0.289282 | − | 0.957244i | \(-0.593417\pi\) |
0.684357 | + | 0.729148i | \(0.260083\pi\) | |||||||
\(8\) | 0.526922 | − | 2.77891i | 0.186295 | − | 0.982494i | ||||
\(9\) | 0.636858 | + | 2.93162i | 0.212286 | + | 0.977208i | ||||
\(10\) | −1.35312 | + | 4.02562i | −0.427894 | + | 1.27301i | ||||
\(11\) | 5.09718 | + | 1.36579i | 1.53686 | + | 0.411800i | 0.925249 | − | 0.379360i | \(-0.123856\pi\) |
0.611609 | + | 0.791160i | \(0.290522\pi\) | |||||||
\(12\) | −0.956555 | + | 3.32941i | −0.276134 | + | 0.961119i | ||||
\(13\) | 2.02149 | − | 0.541655i | 0.560659 | − | 0.150228i | 0.0326501 | − | 0.999467i | \(-0.489605\pi\) |
0.528009 | + | 0.849239i | \(0.322939\pi\) | |||||||
\(14\) | −1.70359 | − | 0.106550i | −0.455303 | − | 0.0284768i | ||||
\(15\) | 2.10498 | − | 4.75646i | 0.543503 | − | 1.22811i | ||||
\(16\) | −2.79444 | + | 2.86201i | −0.698609 | + | 0.715503i | ||||
\(17\) | −3.20404 | −0.777093 | −0.388547 | − | 0.921429i | \(-0.627023\pi\) | ||||
−0.388547 | + | 0.921429i | \(0.627023\pi\) | |||||||
\(18\) | 1.54270 | − | 3.95222i | 0.363617 | − | 0.931548i | ||||
\(19\) | −1.87633 | − | 1.87633i | −0.430459 | − | 0.430459i | 0.458325 | − | 0.888784i | \(-0.348449\pi\) |
−0.888784 | + | 0.458325i | \(0.848449\pi\) | |||||||
\(20\) | 4.74303 | − | 3.68467i | 1.06057 | − | 0.823918i | ||||
\(21\) | 2.06553 | + | 0.322412i | 0.450735 | + | 0.0703561i | ||||
\(22\) | −4.93730 | − | 5.59610i | −1.05264 | − | 1.19309i | ||||
\(23\) | −3.61927 | − | 2.08959i | −0.754670 | − | 0.435709i | 0.0727090 | − | 0.997353i | \(-0.476836\pi\) |
−0.827379 | + | 0.561644i | \(0.810169\pi\) | |||||||
\(24\) | 3.73123 | − | 3.17457i | 0.761634 | − | 0.648007i | ||||
\(25\) | −3.47994 | + | 2.00914i | −0.695988 | + | 0.401829i | ||||
\(26\) | −2.80542 | − | 0.942977i | −0.550188 | − | 0.184933i | ||||
\(27\) | −2.32788 | + | 4.64553i | −0.448000 | + | 0.894033i | ||||
\(28\) | 1.92385 | + | 1.45805i | 0.363574 | + | 0.275546i | ||||
\(29\) | −2.12804 | + | 7.94194i | −0.395166 | + | 1.47478i | 0.426330 | + | 0.904568i | \(0.359806\pi\) |
−0.821496 | + | 0.570214i | \(0.806860\pi\) | |||||||
\(30\) | −6.20053 | + | 3.95768i | −1.13206 | + | 0.722569i | ||||
\(31\) | 1.39155 | − | 2.41023i | 0.249930 | − | 0.432891i | −0.713576 | − | 0.700577i | \(-0.752926\pi\) |
0.963506 | + | 0.267687i | \(0.0862592\pi\) | |||||||
\(32\) | 5.53106 | − | 1.18632i | 0.977763 | − | 0.209714i | ||||
\(33\) | 5.38890 | + | 7.38239i | 0.938087 | + | 1.28511i | ||||
\(34\) | 3.77505 | + | 2.50613i | 0.647416 | + | 0.429798i | ||||
\(35\) | −2.56298 | − | 2.56298i | −0.433222 | − | 0.433222i | ||||
\(36\) | −4.90898 | + | 3.44991i | −0.818164 | + | 0.574985i | ||||
\(37\) | −5.10207 | + | 5.10207i | −0.838775 | + | 0.838775i | −0.988698 | − | 0.149922i | \(-0.952098\pi\) |
0.149922 | + | 0.988698i | \(0.452098\pi\) | |||||||
\(38\) | 0.743096 | + | 3.67835i | 0.120546 | + | 0.596707i | ||||
\(39\) | 3.31474 | + | 1.46694i | 0.530783 | + | 0.234898i | ||||
\(40\) | −8.47040 | + | 0.631444i | −1.33929 | + | 0.0998400i | ||||
\(41\) | −9.93271 | − | 5.73465i | −1.55123 | − | 0.895602i | −0.998042 | − | 0.0625444i | \(-0.980078\pi\) |
−0.553186 | − | 0.833058i | \(-0.686588\pi\) | |||||||
\(42\) | −2.18145 | − | 1.99548i | −0.336606 | − | 0.307910i | ||||
\(43\) | 1.09409 | + | 0.293160i | 0.166847 | + | 0.0447065i | 0.341275 | − | 0.939963i | \(-0.389141\pi\) |
−0.174428 | + | 0.984670i | \(0.555808\pi\) | |||||||
\(44\) | 1.44005 | + | 10.4553i | 0.217095 | + | 1.57619i | ||||
\(45\) | 8.00882 | − | 4.12594i | 1.19388 | − | 0.615059i | ||||
\(46\) | 2.62985 | + | 5.29290i | 0.387751 | + | 0.780396i | ||||
\(47\) | −1.84507 | − | 3.19576i | −0.269132 | − | 0.466150i | 0.699506 | − | 0.714627i | \(-0.253403\pi\) |
−0.968638 | + | 0.248477i | \(0.920070\pi\) | |||||||
\(48\) | −6.87929 | + | 0.821845i | −0.992939 | + | 0.118623i | ||||
\(49\) | −2.77161 | + | 4.80057i | −0.395944 | + | 0.685795i | ||||
\(50\) | 5.67164 | + | 0.354731i | 0.802091 | + | 0.0501665i | ||||
\(51\) | −4.32062 | − | 3.48279i | −0.605007 | − | 0.487688i | ||||
\(52\) | 2.56782 | + | 3.30537i | 0.356092 | + | 0.458373i | ||||
\(53\) | −0.613957 | + | 0.613957i | −0.0843335 | + | 0.0843335i | −0.748015 | − | 0.663682i | \(-0.768993\pi\) |
0.663682 | + | 0.748015i | \(0.268993\pi\) | |||||||
\(54\) | 6.37639 | − | 3.65263i | 0.867716 | − | 0.497060i | ||||
\(55\) | − | 15.8471i | − | 2.13682i | ||||||
\(56\) | −1.12626 | − | 3.22270i | −0.150503 | − | 0.430651i | ||||
\(57\) | −0.490642 | − | 4.56978i | −0.0649871 | − | 0.605282i | ||||
\(58\) | 8.71931 | − | 7.69282i | 1.14490 | − | 1.01012i | ||||
\(59\) | 3.16461 | + | 11.8105i | 0.411997 | + | 1.53759i | 0.790776 | + | 0.612106i | \(0.209677\pi\) |
−0.378779 | + | 0.925487i | \(0.623656\pi\) | |||||||
\(60\) | 10.4012 | + | 0.186926i | 1.34279 | + | 0.0241320i | ||||
\(61\) | 1.98418 | − | 7.40505i | 0.254048 | − | 0.948119i | −0.714570 | − | 0.699564i | \(-0.753378\pi\) |
0.968618 | − | 0.248555i | \(-0.0799557\pi\) | |||||||
\(62\) | −3.52478 | + | 1.75134i | −0.447648 | + | 0.222420i | ||||
\(63\) | 2.43488 | + | 2.68000i | 0.306766 | + | 0.337648i | ||||
\(64\) | −7.44471 | − | 2.92854i | −0.930588 | − | 0.366068i | ||||
\(65\) | −3.14238 | − | 5.44277i | −0.389765 | − | 0.675092i | ||||
\(66\) | −0.574932 | − | 12.9131i | −0.0707692 | − | 1.58950i | ||||
\(67\) | 9.86577 | − | 2.64353i | 1.20530 | − | 0.322958i | 0.400381 | − | 0.916349i | \(-0.368878\pi\) |
0.804915 | + | 0.593391i | \(0.202211\pi\) | |||||||
\(68\) | −2.48758 | − | 5.90554i | −0.301664 | − | 0.716152i | ||||
\(69\) | −2.60917 | − | 6.75194i | −0.314107 | − | 0.812838i | ||||
\(70\) | 1.01503 | + | 5.02445i | 0.121320 | + | 0.600536i | ||||
\(71\) | 12.8889i | 1.52963i | 0.644251 | + | 0.764814i | \(0.277169\pi\) | ||||
−0.644251 | + | 0.764814i | \(0.722831\pi\) | |||||||
\(72\) | 8.48230 | − | 0.225037i | 0.999648 | − | 0.0265208i | ||||
\(73\) | − | 2.87605i | − | 0.336616i | −0.985734 | − | 0.168308i | \(-0.946170\pi\) | ||
0.985734 | − | 0.168308i | \(-0.0538304\pi\) | |||||||
\(74\) | 10.0021 | − | 2.02061i | 1.16272 | − | 0.234891i | ||||
\(75\) | −6.87661 | − | 1.07338i | −0.794043 | − | 0.123944i | ||||
\(76\) | 2.00160 | − | 4.91512i | 0.229599 | − | 0.563803i | ||||
\(77\) | 6.15216 | − | 1.64847i | 0.701104 | − | 0.187860i | ||||
\(78\) | −2.75807 | − | 4.32109i | −0.312290 | − | 0.489267i | ||||
\(79\) | −0.913281 | − | 1.58185i | −0.102752 | − | 0.177972i | 0.810065 | − | 0.586339i | \(-0.199432\pi\) |
−0.912818 | + | 0.408367i | \(0.866098\pi\) | |||||||
\(80\) | 10.4739 | + | 5.88139i | 1.17101 | + | 0.657560i | ||||
\(81\) | −8.18882 | + | 3.73406i | −0.909869 | + | 0.414895i | ||||
\(82\) | 7.21736 | + | 14.5258i | 0.797024 | + | 1.60411i | ||||
\(83\) | 0.757618 | − | 2.82747i | 0.0831594 | − | 0.310355i | −0.911800 | − | 0.410635i | \(-0.865307\pi\) |
0.994959 | + | 0.100280i | \(0.0319738\pi\) | |||||||
\(84\) | 1.00940 | + | 4.05740i | 0.110134 | + | 0.442699i | ||||
\(85\) | 2.49032 | + | 9.29402i | 0.270114 | + | 1.00808i | ||||
\(86\) | −1.05977 | − | 1.20118i | −0.114278 | − | 0.129527i | ||||
\(87\) | −11.5025 | + | 8.39646i | −1.23320 | + | 0.900195i | ||||
\(88\) | 6.48122 | − | 13.4450i | 0.690900 | − | 1.43324i | ||||
\(89\) | 2.11965i | 0.224682i | 0.993670 | + | 0.112341i | \(0.0358349\pi\) | ||||
−0.993670 | + | 0.112341i | \(0.964165\pi\) | |||||||
\(90\) | −12.6634 | − | 1.40309i | −1.33483 | − | 0.147898i | ||||
\(91\) | 1.78611 | − | 1.78611i | 0.187236 | − | 0.187236i | ||||
\(92\) | 1.04147 | − | 8.29321i | 0.108580 | − | 0.864626i | ||||
\(93\) | 4.49642 | − | 1.73756i | 0.466257 | − | 0.180177i | ||||
\(94\) | −0.325762 | + | 5.20848i | −0.0335998 | + | 0.537214i | ||||
\(95\) | −3.98433 | + | 6.90107i | −0.408784 | + | 0.708035i | ||||
\(96\) | 8.74812 | + | 4.41252i | 0.892851 | + | 0.450351i | ||||
\(97\) | −3.06298 | − | 5.30524i | −0.310999 | − | 0.538666i | 0.667580 | − | 0.744538i | \(-0.267330\pi\) |
−0.978579 | + | 0.205872i | \(0.933997\pi\) | |||||||
\(98\) | 7.02046 | − | 3.48821i | 0.709174 | − | 0.352363i | ||||
\(99\) | −0.757786 | + | 15.8128i | −0.0761603 | + | 1.58925i | ||||
\(100\) | −6.40496 | − | 4.85419i | −0.640496 | − | 0.485419i | ||||
\(101\) | 12.6207 | + | 3.38172i | 1.25581 | + | 0.336493i | 0.824579 | − | 0.565748i | \(-0.191412\pi\) |
0.431232 | + | 0.902241i | \(0.358079\pi\) | |||||||
\(102\) | 2.36646 | + | 7.48298i | 0.234314 | + | 0.740926i | ||||
\(103\) | −11.4364 | − | 6.60279i | −1.12686 | − | 0.650592i | −0.183715 | − | 0.982979i | \(-0.558813\pi\) |
−0.943143 | + | 0.332387i | \(0.892146\pi\) | |||||||
\(104\) | −0.440048 | − | 5.90294i | −0.0431502 | − | 0.578831i | ||||
\(105\) | −0.670194 | − | 6.24211i | −0.0654042 | − | 0.609167i | ||||
\(106\) | 1.20360 | − | 0.243150i | 0.116904 | − | 0.0236168i | ||||
\(107\) | 6.92566 | − | 6.92566i | 0.669529 | − | 0.669529i | −0.288078 | − | 0.957607i | \(-0.593016\pi\) |
0.957607 | + | 0.288078i | \(0.0930163\pi\) | |||||||
\(108\) | −10.3698 | − | 0.683893i | −0.997832 | − | 0.0658077i | ||||
\(109\) | −5.36289 | − | 5.36289i | −0.513672 | − | 0.513672i | 0.401977 | − | 0.915650i | \(-0.368323\pi\) |
−0.915650 | + | 0.401977i | \(0.868323\pi\) | |||||||
\(110\) | −12.3952 | + | 18.6713i | −1.18184 | + | 1.78024i | ||||
\(111\) | −12.4261 | + | 1.33414i | −1.17943 | + | 0.126631i | ||||
\(112\) | −1.19375 | + | 4.67798i | −0.112799 | + | 0.442027i | ||||
\(113\) | 3.03493 | − | 5.25666i | 0.285502 | − | 0.494505i | −0.687228 | − | 0.726441i | \(-0.741173\pi\) |
0.972731 | + | 0.231937i | \(0.0745062\pi\) | |||||||
\(114\) | −2.99631 | + | 5.76796i | −0.280630 | + | 0.540219i | ||||
\(115\) | −3.24824 | + | 12.1226i | −0.302900 | + | 1.13044i | ||||
\(116\) | −16.2904 | + | 2.24374i | −1.51253 | + | 0.208326i | ||||
\(117\) | 2.87533 | + | 5.58128i | 0.265824 | + | 0.515989i | ||||
\(118\) | 5.50932 | − | 16.3906i | 0.507174 | − | 1.50888i | ||||
\(119\) | −3.34908 | + | 1.93359i | −0.307010 | + | 0.177252i | ||||
\(120\) | −12.1086 | − | 8.35583i | −1.10536 | − | 0.762779i | ||||
\(121\) | 14.5896 | + | 8.42332i | 1.32633 | + | 0.765757i | ||||
\(122\) | −8.12987 | + | 7.17277i | −0.736043 | + | 0.649392i | ||||
\(123\) | −7.16060 | − | 18.5300i | −0.645650 | − | 1.67079i | ||||
\(124\) | 5.52282 | + | 0.693558i | 0.495964 | + | 0.0622834i | ||||
\(125\) | −2.08464 | − | 2.08464i | −0.186456 | − | 0.186456i | ||||
\(126\) | −0.772579 | − | 5.06213i | −0.0688268 | − | 0.450971i | ||||
\(127\) | 11.7086 | 1.03897 | 0.519484 | − | 0.854480i | \(-0.326124\pi\) | ||||
0.519484 | + | 0.854480i | \(0.326124\pi\) | |||||||
\(128\) | 6.48083 | + | 9.27355i | 0.572830 | + | 0.819674i | ||||
\(129\) | 1.15670 | + | 1.58460i | 0.101842 | + | 0.139516i | ||||
\(130\) | −0.554813 | + | 8.87067i | −0.0486603 | + | 0.778009i | ||||
\(131\) | 8.63027 | − | 2.31247i | 0.754030 | − | 0.202042i | 0.138725 | − | 0.990331i | \(-0.455700\pi\) |
0.615305 | + | 0.788289i | \(0.289033\pi\) | |||||||
\(132\) | −9.42300 | + | 15.6642i | −0.820167 | + | 1.36339i | ||||
\(133\) | −3.09360 | − | 0.828929i | −0.268250 | − | 0.0718772i | ||||
\(134\) | −13.6917 | − | 4.60216i | −1.18279 | − | 0.397566i | ||||
\(135\) | 15.2847 | + | 3.14180i | 1.31550 | + | 0.270403i | ||||
\(136\) | −1.68828 | + | 8.90374i | −0.144769 | + | 0.763489i | ||||
\(137\) | −1.32169 | + | 0.763080i | −0.112920 | + | 0.0651943i | −0.555396 | − | 0.831586i | \(-0.687433\pi\) |
0.442476 | + | 0.896780i | \(0.354100\pi\) | |||||||
\(138\) | −2.20706 | + | 9.99609i | −0.187877 | + | 0.850923i | ||||
\(139\) | 4.51685 | + | 16.8571i | 0.383114 | + | 1.42980i | 0.841118 | + | 0.540852i | \(0.181898\pi\) |
−0.458004 | + | 0.888950i | \(0.651435\pi\) | |||||||
\(140\) | 2.73409 | − | 6.71383i | 0.231073 | − | 0.567422i | ||||
\(141\) | 0.985729 | − | 6.31505i | 0.0830134 | − | 0.531823i | ||||
\(142\) | 10.0814 | − | 15.1859i | 0.846013 | − | 1.27437i | ||||
\(143\) | 11.0437 | 0.923518 | ||||||||
\(144\) | −10.1700 | − | 6.36954i | −0.847500 | − | 0.530795i | ||||
\(145\) | 24.6914 | 2.05051 | ||||||||
\(146\) | −2.24959 | + | 3.38861i | −0.186177 | + | 0.280444i | ||||
\(147\) | −8.95571 | + | 3.46078i | −0.738655 | + | 0.285441i | ||||
\(148\) | −13.3651 | − | 5.44271i | −1.09860 | − | 0.447388i | ||||
\(149\) | −4.58523 | − | 17.1123i | −0.375637 | − | 1.40189i | −0.852412 | − | 0.522870i | \(-0.824861\pi\) |
0.476776 | − | 0.879025i | \(-0.341805\pi\) | |||||||
\(150\) | 7.26256 | + | 6.64343i | 0.592986 | + | 0.542433i | ||||
\(151\) | −4.49848 | + | 2.59720i | −0.366081 | + | 0.211357i | −0.671745 | − | 0.740783i | \(-0.734455\pi\) |
0.305664 | + | 0.952139i | \(0.401122\pi\) | |||||||
\(152\) | −6.20283 | + | 4.22547i | −0.503116 | + | 0.342731i | ||||
\(153\) | −2.04052 | − | 9.39303i | −0.164966 | − | 0.759381i | ||||
\(154\) | −8.53797 | − | 2.86984i | −0.688010 | − | 0.231259i | ||||
\(155\) | −8.07299 | − | 2.16315i | −0.648438 | − | 0.173748i | ||||
\(156\) | −0.130267 | + | 7.24849i | −0.0104297 | + | 0.580343i | ||||
\(157\) | −10.2527 | + | 2.74719i | −0.818252 | + | 0.219250i | −0.643582 | − | 0.765377i | \(-0.722552\pi\) |
−0.174670 | + | 0.984627i | \(0.555886\pi\) | |||||||
\(158\) | −0.161247 | + | 2.57811i | −0.0128281 | + | 0.205104i | ||||
\(159\) | −1.49529 | + | 0.160544i | −0.118584 | + | 0.0127320i | ||||
\(160\) | −7.74018 | − | 15.1220i | −0.611915 | − | 1.19550i | ||||
\(161\) | −5.04415 | −0.397534 | ||||||||
\(162\) | 12.5689 | + | 2.00560i | 0.987507 | + | 0.157575i | ||||
\(163\) | 2.62311 | + | 2.62311i | 0.205458 | + | 0.205458i | 0.802334 | − | 0.596876i | \(-0.203591\pi\) |
−0.596876 | + | 0.802334i | \(0.703591\pi\) | |||||||
\(164\) | 2.85819 | − | 22.7598i | 0.223187 | − | 1.77725i | ||||
\(165\) | 17.2258 | − | 21.3696i | 1.34102 | − | 1.66362i | ||||
\(166\) | −3.10423 | + | 2.73878i | −0.240935 | + | 0.212570i | ||||
\(167\) | 5.07413 | + | 2.92955i | 0.392648 | + | 0.226695i | 0.683307 | − | 0.730131i | \(-0.260541\pi\) |
−0.290659 | + | 0.956827i | \(0.593874\pi\) | |||||||
\(168\) | 1.98433 | − | 5.57003i | 0.153094 | − | 0.429737i | ||||
\(169\) | −7.46532 | + | 4.31010i | −0.574255 | + | 0.331546i | ||||
\(170\) | 4.33545 | − | 12.8982i | 0.332514 | − | 0.989251i | ||||
\(171\) | 4.30573 | − | 6.69564i | 0.329267 | − | 0.512028i | ||||
\(172\) | 0.309100 | + | 2.24418i | 0.0235687 | + | 0.171117i | ||||
\(173\) | −0.192903 | + | 0.719924i | −0.0146662 | + | 0.0547348i | −0.972871 | − | 0.231348i | \(-0.925686\pi\) |
0.958205 | + | 0.286083i | \(0.0923532\pi\) | |||||||
\(174\) | 20.1200 | − | 0.895804i | 1.52529 | − | 0.0679107i | ||||
\(175\) | −2.42498 | + | 4.20019i | −0.183311 | + | 0.317505i | ||||
\(176\) | −18.1527 | + | 10.7716i | −1.36831 | + | 0.811940i | ||||
\(177\) | −8.57055 | + | 19.3663i | −0.644202 | + | 1.45566i | ||||
\(178\) | 1.65794 | − | 2.49740i | 0.124268 | − | 0.187188i | ||||
\(179\) | −0.114862 | − | 0.114862i | −0.00858517 | − | 0.00858517i | 0.702801 | − | 0.711386i | \(-0.251932\pi\) |
−0.711386 | + | 0.702801i | \(0.751932\pi\) | |||||||
\(180\) | 13.8227 | + | 11.5582i | 1.03028 | + | 0.861494i | ||||
\(181\) | −7.86110 | + | 7.86110i | −0.584311 | + | 0.584311i | −0.936085 | − | 0.351774i | \(-0.885578\pi\) |
0.351774 | + | 0.936085i | \(0.385578\pi\) | |||||||
\(182\) | −3.50149 | + | 0.707368i | −0.259548 | + | 0.0524336i | ||||
\(183\) | 10.7249 | − | 7.82884i | 0.792810 | − | 0.578724i | ||||
\(184\) | −7.71385 | + | 8.95658i | −0.568672 | + | 0.660288i | ||||
\(185\) | 18.7652 | + | 10.8341i | 1.37965 | + | 0.796540i | ||||
\(186\) | −6.65684 | − | 1.46978i | −0.488103 | − | 0.107769i | ||||
\(187\) | −16.3316 | − | 4.37603i | −1.19428 | − | 0.320007i | ||||
\(188\) | 4.45779 | − | 5.88191i | 0.325117 | − | 0.428983i | ||||
\(189\) | 0.370257 | + | 6.26067i | 0.0269322 | + | 0.455397i | ||||
\(190\) | 10.0923 | − | 5.01449i | 0.732171 | − | 0.363789i | ||||
\(191\) | 2.25437 | + | 3.90468i | 0.163120 | + | 0.282532i | 0.935986 | − | 0.352037i | \(-0.114511\pi\) |
−0.772866 | + | 0.634569i | \(0.781178\pi\) | |||||||
\(192\) | −6.85580 | − | 12.0415i | −0.494775 | − | 0.869021i | ||||
\(193\) | 9.64610 | − | 16.7075i | 0.694342 | − | 1.20264i | −0.276060 | − | 0.961140i | \(-0.589029\pi\) |
0.970402 | − | 0.241495i | \(-0.0776377\pi\) | |||||||
\(194\) | −0.540794 | + | 8.64653i | −0.0388268 | + | 0.620785i | ||||
\(195\) | 1.67882 | − | 10.7553i | 0.120222 | − | 0.770203i | ||||
\(196\) | −11.0000 | − | 1.38139i | −0.785717 | − | 0.0986708i | ||||
\(197\) | −6.03688 | + | 6.03688i | −0.430110 | + | 0.430110i | −0.888666 | − | 0.458556i | \(-0.848367\pi\) |
0.458556 | + | 0.888666i | \(0.348367\pi\) | |||||||
\(198\) | 13.2613 | − | 18.0382i | 0.942440 | − | 1.28192i | ||||
\(199\) | 8.81333i | 0.624760i | 0.949957 | + | 0.312380i | \(0.101126\pi\) | ||||
−0.949957 | + | 0.312380i | \(0.898874\pi\) | |||||||
\(200\) | 3.74958 | + | 10.7291i | 0.265135 | + | 0.758663i | ||||
\(201\) | 16.1774 | + | 7.15933i | 1.14107 | + | 0.504980i | ||||
\(202\) | −12.2249 | − | 13.8561i | −0.860138 | − | 0.974911i | ||||
\(203\) | 2.56848 | + | 9.58570i | 0.180272 | + | 0.672784i | ||||
\(204\) | 3.06484 | − | 10.6676i | 0.214582 | − | 0.746879i | ||||
\(205\) | −8.91447 | + | 33.2692i | −0.622613 | + | 2.32362i | ||||
\(206\) | 8.30995 | + | 16.7248i | 0.578982 | + | 1.16527i | ||||
\(207\) | 3.82092 | − | 11.9411i | 0.265572 | − | 0.829964i | ||||
\(208\) | −4.09869 | + | 7.29914i | −0.284193 | + | 0.506104i | ||||
\(209\) | −7.00132 | − | 12.1266i | −0.484292 | − | 0.838818i | ||||
\(210\) | −4.09281 | + | 7.87877i | −0.282431 | + | 0.543687i | ||||
\(211\) | −0.976416 | + | 0.261630i | −0.0672192 | + | 0.0180113i | −0.292272 | − | 0.956335i | \(-0.594411\pi\) |
0.225053 | + | 0.974347i | \(0.427745\pi\) | |||||||
\(212\) | −1.60829 | − | 0.654948i | −0.110458 | − | 0.0449820i | ||||
\(213\) | −14.0102 | + | 17.3805i | −0.959964 | + | 1.19089i | ||||
\(214\) | −13.5770 | + | 2.74282i | −0.928107 | + | 0.187495i | ||||
\(215\) | − | 3.40150i | − | 0.231981i | ||||||
\(216\) | 11.6829 | + | 8.91680i | 0.794922 | + | 0.606712i | ||||
\(217\) | − | 3.35912i | − | 0.228032i | ||||||
\(218\) | 2.12391 | + | 10.5134i | 0.143849 | + | 0.712057i | ||||
\(219\) | 3.12627 | − | 3.87833i | 0.211254 | − | 0.262073i | ||||
\(220\) | 29.2086 | − | 12.3035i | 1.96924 | − | 0.829501i | ||||
\(221\) | −6.47692 | + | 1.73548i | −0.435685 | + | 0.116741i | ||||
\(222\) | 15.6841 | + | 8.14750i | 1.05265 | + | 0.546824i | ||||
\(223\) | −4.44475 | − | 7.69854i | −0.297643 | − | 0.515532i | 0.677954 | − | 0.735105i | \(-0.262867\pi\) |
−0.975596 | + | 0.219573i | \(0.929534\pi\) | |||||||
\(224\) | 5.06552 | − | 4.57794i | 0.338454 | − | 0.305877i | ||||
\(225\) | −8.10628 | − | 8.92233i | −0.540419 | − | 0.594822i | ||||
\(226\) | −7.68746 | + | 3.81962i | −0.511362 | + | 0.254077i | ||||
\(227\) | 5.82630 | − | 21.7441i | 0.386705 | − | 1.44320i | −0.448756 | − | 0.893655i | \(-0.648133\pi\) |
0.835461 | − | 0.549550i | \(-0.185201\pi\) | |||||||
\(228\) | 8.04188 | − | 4.45226i | 0.532587 | − | 0.294858i | ||||
\(229\) | −3.58930 | − | 13.3954i | −0.237187 | − | 0.885196i | −0.977151 | − | 0.212548i | \(-0.931824\pi\) |
0.739963 | − | 0.672647i | \(-0.234843\pi\) | |||||||
\(230\) | 13.3092 | − | 11.7424i | 0.877582 | − | 0.774268i | ||||
\(231\) | 10.0880 | + | 4.46446i | 0.663743 | + | 0.293740i | ||||
\(232\) | 20.9486 | + | 10.0984i | 1.37535 | + | 0.662993i | ||||
\(233\) | − | 6.70075i | − | 0.438981i | −0.975615 | − | 0.219491i | \(-0.929561\pi\) | ||
0.975615 | − | 0.219491i | \(-0.0704395\pi\) | |||||||
\(234\) | 0.977798 | − | 8.82498i | 0.0639207 | − | 0.576907i | ||||
\(235\) | −7.83593 | + | 7.83593i | −0.511160 | + | 0.511160i | ||||
\(236\) | −19.3116 | + | 15.0024i | −1.25708 | + | 0.976573i | ||||
\(237\) | 0.487920 | − | 3.12585i | 0.0316938 | − | 0.203046i | ||||
\(238\) | 5.45836 | + | 0.341391i | 0.353813 | + | 0.0221291i | ||||
\(239\) | 1.04479 | − | 1.80963i | 0.0675819 | − | 0.117055i | −0.830254 | − | 0.557385i | \(-0.811805\pi\) |
0.897836 | + | 0.440329i | \(0.145138\pi\) | |||||||
\(240\) | 7.73084 | + | 19.3161i | 0.499023 | + | 1.24685i | ||||
\(241\) | 4.31263 | + | 7.46970i | 0.277801 | + | 0.481166i | 0.970838 | − | 0.239736i | \(-0.0770610\pi\) |
−0.693037 | + | 0.720902i | \(0.743728\pi\) | |||||||
\(242\) | −10.6012 | − | 21.3362i | −0.681470 | − | 1.37154i | ||||
\(243\) | −15.1015 | − | 3.86591i | −0.968760 | − | 0.247998i | ||||
\(244\) | 15.1891 | − | 2.09206i | 0.972385 | − | 0.133930i | ||||
\(245\) | 16.0793 | + | 4.30844i | 1.02727 | + | 0.275256i | ||||
\(246\) | −6.05704 | + | 27.4332i | −0.386183 | + | 1.74908i | ||||
\(247\) | −4.80929 | − | 2.77665i | −0.306008 | − | 0.176674i | ||||
\(248\) | −5.96459 | − | 5.13700i | −0.378752 | − | 0.326200i | ||||
\(249\) | 4.09510 | − | 2.98929i | 0.259517 | − | 0.189438i | ||||
\(250\) | 0.825594 | + | 4.08672i | 0.0522152 | + | 0.258467i | ||||
\(251\) | 16.7058 | − | 16.7058i | 1.05446 | − | 1.05446i | 0.0560334 | − | 0.998429i | \(-0.482155\pi\) |
0.998429 | − | 0.0560334i | \(-0.0178453\pi\) | |||||||
\(252\) | −3.04923 | + | 6.56859i | −0.192084 | + | 0.413782i | ||||
\(253\) | −15.5941 | − | 15.5941i | −0.980396 | − | 0.980396i | ||||
\(254\) | −13.7952 | − | 9.15820i | −0.865590 | − | 0.574637i | ||||
\(255\) | −6.74442 | + | 15.2399i | −0.422352 | + | 0.954359i | ||||
\(256\) | −0.382243 | − | 15.9954i | −0.0238902 | − | 0.999715i | ||||
\(257\) | 7.26980 | − | 12.5917i | 0.453477 | − | 0.785446i | −0.545122 | − | 0.838357i | \(-0.683517\pi\) |
0.998599 | + | 0.0529109i | \(0.0168499\pi\) | |||||||
\(258\) | −0.123407 | − | 2.77175i | −0.00768297 | − | 0.172562i | ||||
\(259\) | −2.25401 | + | 8.41207i | −0.140057 | + | 0.522700i | ||||
\(260\) | 7.59214 | − | 10.0176i | 0.470845 | − | 0.621265i | ||||
\(261\) | −24.6380 | − | 1.18071i | −1.52506 | − | 0.0730840i | ||||
\(262\) | −11.9771 | − | 4.02582i | −0.739948 | − | 0.248716i | ||||
\(263\) | −7.27433 | + | 4.19984i | −0.448555 | + | 0.258973i | −0.707220 | − | 0.706994i | \(-0.750051\pi\) |
0.258665 | + | 0.965967i | \(0.416717\pi\) | |||||||
\(264\) | 23.3546 | − | 11.0853i | 1.43737 | − | 0.682255i | ||||
\(265\) | 2.25811 | + | 1.30372i | 0.138715 | + | 0.0800871i | ||||
\(266\) | 2.99657 | + | 3.39641i | 0.183731 | + | 0.208247i | ||||
\(267\) | −2.30406 | + | 2.85832i | −0.141006 | + | 0.174927i | ||||
\(268\) | 12.5321 | + | 16.1317i | 0.765521 | + | 0.985402i | ||||
\(269\) | 3.63413 | + | 3.63413i | 0.221577 | + | 0.221577i | 0.809162 | − | 0.587585i | \(-0.199921\pi\) |
−0.587585 | + | 0.809162i | \(0.699921\pi\) | |||||||
\(270\) | −15.5513 | − | 15.6571i | −0.946420 | − | 0.952862i | ||||
\(271\) | 2.61554 | 0.158882 | 0.0794412 | − | 0.996840i | \(-0.474686\pi\) | ||||
0.0794412 | + | 0.996840i | \(0.474686\pi\) | |||||||
\(272\) | 8.95348 | − | 9.17000i | 0.542885 | − | 0.556013i | ||||
\(273\) | 4.35007 | − | 0.467052i | 0.263278 | − | 0.0282673i | ||||
\(274\) | 2.15411 | + | 0.134728i | 0.130134 | + | 0.00813920i | ||||
\(275\) | −20.4820 | + | 5.48812i | −1.23511 | + | 0.330946i | ||||
\(276\) | 10.4191 | − | 10.0512i | 0.627158 | − | 0.605014i | ||||
\(277\) | 10.3103 | + | 2.76263i | 0.619484 | + | 0.165990i | 0.554893 | − | 0.831922i | \(-0.312759\pi\) |
0.0645907 | + | 0.997912i | \(0.479426\pi\) | |||||||
\(278\) | 7.86346 | − | 23.3943i | 0.471619 | − | 1.40310i | ||||
\(279\) | 7.95212 | + | 2.54452i | 0.476081 | + | 0.152336i | ||||
\(280\) | −8.47277 | + | 5.77180i | −0.506345 | + | 0.344931i | ||||
\(281\) | 6.21844 | − | 3.59022i | 0.370961 | − | 0.214174i | −0.302917 | − | 0.953017i | \(-0.597961\pi\) |
0.673878 | + | 0.738842i | \(0.264627\pi\) | |||||||
\(282\) | −6.10091 | + | 6.66949i | −0.363304 | + | 0.397162i | ||||
\(283\) | −3.73738 | − | 13.9481i | −0.222164 | − | 0.829127i | −0.983521 | − | 0.180794i | \(-0.942133\pi\) |
0.761357 | − | 0.648333i | \(-0.224533\pi\) | |||||||
\(284\) | −23.7562 | + | 10.0068i | −1.40967 | + | 0.593794i | ||||
\(285\) | −12.8743 | + | 4.97506i | −0.762608 | + | 0.294697i | ||||
\(286\) | −13.0118 | − | 8.63813i | −0.769406 | − | 0.510783i | ||||
\(287\) | −13.8431 | −0.817134 | ||||||||
\(288\) | 7.00035 | + | 15.4595i | 0.412499 | + | 0.910958i | ||||
\(289\) | −6.73414 | −0.396126 | ||||||||
\(290\) | −29.0918 | − | 19.3131i | −1.70833 | − | 1.13410i | ||||
\(291\) | 1.63640 | − | 10.4835i | 0.0959273 | − | 0.614556i | ||||
\(292\) | 5.30101 | − | 2.23294i | 0.310218 | − | 0.130673i | ||||
\(293\) | 6.52336 | + | 24.3455i | 0.381099 | + | 1.42228i | 0.844226 | + | 0.535988i | \(0.180061\pi\) |
−0.463127 | + | 0.886292i | \(0.653273\pi\) | |||||||
\(294\) | 13.2587 | + | 2.92742i | 0.773265 | + | 0.170731i | ||||
\(295\) | 31.7992 | − | 18.3593i | 1.85142 | − | 1.06892i | ||||
\(296\) | 11.4898 | + | 16.8666i | 0.667832 | + | 0.980351i | ||||
\(297\) | −18.2104 | + | 20.4998i | −1.05668 | + | 1.18952i | ||||
\(298\) | −7.98250 | + | 23.7485i | −0.462414 | + | 1.37571i | ||||
\(299\) | −8.44814 | − | 2.26367i | −0.488568 | − | 0.130911i | ||||
\(300\) | −3.36052 | − | 13.5080i | −0.194020 | − | 0.779886i | ||||
\(301\) | 1.32053 | − | 0.353836i | 0.0761144 | − | 0.0203948i | ||||
\(302\) | 7.33166 | + | 0.458556i | 0.421889 | + | 0.0263869i | ||||
\(303\) | 13.3430 | + | 18.2790i | 0.766537 | + | 1.05010i | ||||
\(304\) | 10.6134 | − | 0.126796i | 0.608718 | − | 0.00727223i | ||||
\(305\) | −23.0222 | −1.31824 | ||||||||
\(306\) | −4.94286 | + | 12.6631i | −0.282565 | + | 0.723900i | ||||
\(307\) | 3.57698 | + | 3.57698i | 0.204149 | + | 0.204149i | 0.801775 | − | 0.597626i | \(-0.203889\pi\) |
−0.597626 | + | 0.801775i | \(0.703889\pi\) | |||||||
\(308\) | 7.81485 | + | 10.0595i | 0.445293 | + | 0.573195i | ||||
\(309\) | −8.24460 | − | 21.3351i | −0.469019 | − | 1.21371i | ||||
\(310\) | 7.81976 | + | 8.86319i | 0.444132 | + | 0.503395i | ||||
\(311\) | 3.71609 | + | 2.14548i | 0.210720 | + | 0.121659i | 0.601646 | − | 0.798763i | \(-0.294512\pi\) |
−0.390926 | + | 0.920422i | \(0.627845\pi\) | |||||||
\(312\) | 5.82310 | − | 8.43840i | 0.329668 | − | 0.477730i | ||||
\(313\) | −8.68061 | + | 5.01175i | −0.490657 | + | 0.283281i | −0.724847 | − | 0.688910i | \(-0.758090\pi\) |
0.234190 | + | 0.972191i | \(0.424756\pi\) | |||||||
\(314\) | 14.2287 | + | 4.78264i | 0.802970 | + | 0.269900i | ||||
\(315\) | 5.88142 | − | 9.14593i | 0.331381 | − | 0.515315i | ||||
\(316\) | 2.20653 | − | 2.91145i | 0.124127 | − | 0.163782i | ||||
\(317\) | −7.14413 | + | 26.6623i | −0.401254 | + | 1.49750i | 0.409606 | + | 0.912262i | \(0.365666\pi\) |
−0.810861 | + | 0.585239i | \(0.801001\pi\) | |||||||
\(318\) | 1.88735 | + | 0.980429i | 0.105837 | + | 0.0549797i | ||||
\(319\) | −21.6940 | + | 37.5751i | −1.21463 | + | 2.10380i | ||||
\(320\) | −2.70851 | + | 23.8712i | −0.151410 | + | 1.33444i | ||||
\(321\) | 16.8674 | − | 1.81099i | 0.941446 | − | 0.101080i | ||||
\(322\) | 5.94310 | + | 3.94543i | 0.331196 | + | 0.219870i | ||||
\(323\) | 6.01183 | + | 6.01183i | 0.334507 | + | 0.334507i | ||||
\(324\) | −13.2402 | − | 12.1942i | −0.735565 | − | 0.677455i | ||||
\(325\) | −5.94639 | + | 5.94639i | −0.329846 | + | 0.329846i | ||||
\(326\) | −1.03885 | − | 5.14234i | −0.0575366 | − | 0.284808i | ||||
\(327\) | −1.40235 | − | 13.0613i | −0.0775499 | − | 0.722291i | ||||
\(328\) | −21.1699 | + | 24.5804i | −1.16891 | + | 1.35723i | ||||
\(329\) | −3.85720 | − | 2.22695i | −0.212654 | − | 0.122776i | ||||
\(330\) | −37.0106 | + | 11.7044i | −2.03736 | + | 0.644306i | ||||
\(331\) | 4.61769 | + | 1.23731i | 0.253811 | + | 0.0680085i | 0.383481 | − | 0.923549i | \(-0.374725\pi\) |
−0.129670 | + | 0.991557i | \(0.541392\pi\) | |||||||
\(332\) | 5.79967 | − | 0.798811i | 0.318298 | − | 0.0438405i | ||||
\(333\) | −18.2066 | − | 11.7081i | −0.997718 | − | 0.641597i | ||||
\(334\) | −3.68699 | − | 7.42053i | −0.201743 | − | 0.406033i | ||||
\(335\) | −15.3363 | − | 26.5632i | −0.837909 | − | 1.45130i | ||||
\(336\) | −6.69473 | + | 5.01060i | −0.365227 | + | 0.273351i | ||||
\(337\) | −7.47777 | + | 12.9519i | −0.407340 | + | 0.705534i | −0.994591 | − | 0.103871i | \(-0.966877\pi\) |
0.587251 | + | 0.809405i | \(0.300210\pi\) | |||||||
\(338\) | 12.1670 | + | 0.760983i | 0.661800 | + | 0.0413920i | ||||
\(339\) | 9.80657 | − | 3.78958i | 0.532620 | − | 0.205822i | ||||
\(340\) | −15.1968 | + | 11.8058i | −0.824165 | + | 0.640261i | ||||
\(341\) | 10.3848 | − | 10.3848i | 0.562371 | − | 0.562371i | ||||
\(342\) | −10.3103 | + | 4.52106i | −0.557516 | + | 0.244471i | ||||
\(343\) | 15.1393i | 0.817446i | ||||||||
\(344\) | 1.39117 | − | 2.88590i | 0.0750066 | − | 0.155597i | ||||
\(345\) | −17.5575 | + | 12.8164i | −0.945265 | + | 0.690011i | ||||
\(346\) | 0.790392 | − | 0.697342i | 0.0424917 | − | 0.0374893i | ||||
\(347\) | −7.89996 | − | 29.4830i | −0.424092 | − | 1.58273i | −0.765898 | − | 0.642962i | \(-0.777705\pi\) |
0.341806 | − | 0.939771i | \(-0.388961\pi\) | |||||||
\(348\) | −24.4064 | − | 14.6820i | −1.30832 | − | 0.787039i | ||||
\(349\) | 8.69992 | − | 32.4685i | 0.465696 | − | 1.73800i | −0.188876 | − | 0.982001i | \(-0.560485\pi\) |
0.654572 | − | 0.756000i | \(-0.272849\pi\) | |||||||
\(350\) | 6.14246 | − | 3.05197i | 0.328328 | − | 0.163134i | ||||
\(351\) | −2.18949 | + | 10.6518i | −0.116867 | + | 0.568550i | ||||
\(352\) | 29.8131 | + | 1.50735i | 1.58904 | + | 0.0803421i | ||||
\(353\) | 16.5277 | + | 28.6268i | 0.879680 | + | 1.52365i | 0.851692 | + | 0.524043i | \(0.175577\pi\) |
0.0279885 | + | 0.999608i | \(0.491090\pi\) | |||||||
\(354\) | 25.2459 | − | 16.1139i | 1.34180 | − | 0.856446i | ||||
\(355\) | 37.3870 | − | 10.0178i | 1.98430 | − | 0.531691i | ||||
\(356\) | −3.90683 | + | 1.64567i | −0.207062 | + | 0.0872204i | ||||
\(357\) | −6.61802 | − | 1.03302i | −0.350263 | − | 0.0546732i | ||||
\(358\) | 0.0454895 | + | 0.225175i | 0.00240420 | + | 0.0119008i | ||||
\(359\) | − | 13.5739i | − | 0.716404i | −0.933644 | − | 0.358202i | \(-0.883390\pi\) | ||
0.933644 | − | 0.358202i | \(-0.116610\pi\) | |||||||
\(360\) | −7.24560 | − | 24.4299i | −0.381877 | − | 1.28757i | ||||
\(361\) | − | 11.9588i | − | 0.629410i | ||||||
\(362\) | 15.4109 | − | 3.11329i | 0.809977 | − | 0.163631i | ||||
\(363\) | 10.5178 | + | 27.2177i | 0.552042 | + | 1.42856i | ||||
\(364\) | 4.67881 | + | 1.90536i | 0.245236 | + | 0.0998682i | ||||
\(365\) | −8.34262 | + | 2.23540i | −0.436673 | + | 0.117006i | ||||
\(366\) | −18.7599 | + | 0.835245i | −0.980594 | + | 0.0436590i | ||||
\(367\) | −1.88219 | − | 3.26006i | −0.0982497 | − | 0.170174i | 0.812711 | − | 0.582668i | \(-0.197991\pi\) |
−0.910960 | + | 0.412494i | \(0.864658\pi\) | |||||||
\(368\) | 16.0942 | − | 4.51918i | 0.838970 | − | 0.235579i | ||||
\(369\) | 10.4861 | − | 32.7711i | 0.545885 | − | 1.70600i | ||||
\(370\) | −13.6353 | − | 27.4427i | −0.708866 | − | 1.42668i | ||||
\(371\) | −0.271236 | + | 1.01227i | −0.0140819 | + | 0.0525542i | ||||
\(372\) | 6.69357 | + | 6.93857i | 0.347046 | + | 0.359748i | ||||
\(373\) | −5.54598 | − | 20.6979i | −0.287160 | − | 1.07170i | −0.947247 | − | 0.320506i | \(-0.896147\pi\) |
0.660087 | − | 0.751189i | \(-0.270520\pi\) | |||||||
\(374\) | 15.8193 | + | 17.9301i | 0.817996 | + | 0.927145i | ||||
\(375\) | −0.545113 | − | 5.07712i | −0.0281495 | − | 0.262181i | ||||
\(376\) | −9.85295 | + | 3.44338i | −0.508127 | + | 0.177579i | ||||
\(377\) | 17.2072i | 0.886215i | ||||||||
\(378\) | 4.46073 | − | 7.66604i | 0.229435 | − | 0.394298i | ||||
\(379\) | 0.0423205 | − | 0.0423205i | 0.00217386 | − | 0.00217386i | −0.706019 | − | 0.708193i | \(-0.749511\pi\) |
0.708193 | + | 0.706019i | \(0.249511\pi\) | |||||||
\(380\) | −15.8131 | − | 1.98582i | −0.811197 | − | 0.101871i | ||||
\(381\) | 15.7889 | + | 12.7272i | 0.808890 | + | 0.652035i | ||||
\(382\) | 0.398026 | − | 6.36387i | 0.0203648 | − | 0.325604i | ||||
\(383\) | −6.83724 | + | 11.8424i | −0.349367 | + | 0.605121i | −0.986137 | − | 0.165933i | \(-0.946937\pi\) |
0.636770 | + | 0.771053i | \(0.280270\pi\) | |||||||
\(384\) | −1.34101 | + | 19.5500i | −0.0684332 | + | 0.997656i | ||||
\(385\) | −9.56348 | − | 16.5644i | −0.487400 | − | 0.844201i | ||||
\(386\) | −24.4335 | + | 12.1401i | −1.24363 | + | 0.617916i | ||||
\(387\) | −0.162655 | + | 3.39416i | −0.00826824 | + | 0.172535i | ||||
\(388\) | 7.40032 | − | 9.76449i | 0.375694 | − | 0.495717i | ||||
\(389\) | −13.7672 | − | 3.68890i | −0.698023 | − | 0.187035i | −0.107678 | − | 0.994186i | \(-0.534342\pi\) |
−0.590345 | + | 0.807151i | \(0.701008\pi\) | |||||||
\(390\) | −10.3906 | + | 11.3589i | −0.526148 | + | 0.575182i | ||||
\(391\) | 11.5963 | + | 6.69511i | 0.586449 | + | 0.338586i | ||||
\(392\) | 11.8799 | + | 10.2316i | 0.600027 | + | 0.516773i | ||||
\(393\) | 14.1515 | + | 6.26276i | 0.713849 | + | 0.315914i | ||||
\(394\) | 11.8347 | − | 2.39083i | 0.596222 | − | 0.120448i | ||||
\(395\) | −3.87866 | + | 3.87866i | −0.195157 | + | 0.195157i | ||||
\(396\) | −29.7338 | + | 10.8802i | −1.49418 | + | 0.546751i | ||||
\(397\) | 16.1526 | + | 16.1526i | 0.810677 | + | 0.810677i | 0.984735 | − | 0.174058i | \(-0.0556881\pi\) |
−0.174058 | + | 0.984735i | \(0.555688\pi\) | |||||||
\(398\) | 6.89360 | − | 10.3840i | 0.345545 | − | 0.520503i | ||||
\(399\) | −3.27065 | − | 4.48055i | −0.163737 | − | 0.224308i | ||||
\(400\) | 3.97428 | − | 15.5741i | 0.198714 | − | 0.778703i | ||||
\(401\) | 1.96568 | − | 3.40466i | 0.0981615 | − | 0.170021i | −0.812762 | − | 0.582596i | \(-0.802037\pi\) |
0.910924 | + | 0.412575i | \(0.135370\pi\) | |||||||
\(402\) | −13.4606 | − | 21.0889i | −0.671355 | − | 1.05182i | ||||
\(403\) | 1.50748 | − | 5.62599i | 0.0750929 | − | 0.280251i | ||||
\(404\) | 3.56559 | + | 25.8875i | 0.177395 | + | 1.28795i | ||||
\(405\) | 17.1962 | + | 20.8512i | 0.854485 | + | 1.03610i | ||||
\(406\) | 4.47151 | − | 13.3031i | 0.221917 | − | 0.660219i | ||||
\(407\) | −32.9745 | + | 19.0379i | −1.63449 | + | 0.943671i | ||||
\(408\) | −11.9550 | + | 10.1715i | −0.591861 | + | 0.503562i | ||||
\(409\) | −17.7471 | − | 10.2463i | −0.877536 | − | 0.506646i | −0.00769067 | − | 0.999970i | \(-0.502448\pi\) |
−0.869845 | + | 0.493325i | \(0.835781\pi\) | |||||||
\(410\) | 36.5257 | − | 32.2257i | 1.80388 | − | 1.59151i | ||||
\(411\) | −2.61176 | − | 0.407675i | −0.128829 | − | 0.0201091i | ||||
\(412\) | 3.29088 | − | 26.2053i | 0.162130 | − | 1.29104i | ||||
\(413\) | 10.4353 | + | 10.4353i | 0.513489 | + | 0.513489i | ||||
\(414\) | −13.8420 | + | 11.0806i | −0.680295 | + | 0.544580i | ||||
\(415\) | −8.79055 | −0.431511 | ||||||||
\(416\) | 10.5384 | − | 5.39406i | 0.516687 | − | 0.264466i | ||||
\(417\) | −12.2328 | + | 27.6415i | −0.599041 | + | 1.35361i | ||||
\(418\) | −1.23614 | + | 19.7641i | −0.0604616 | + | 0.966694i | ||||
\(419\) | 5.54398 | − | 1.48550i | 0.270841 | − | 0.0725716i | −0.120842 | − | 0.992672i | \(-0.538560\pi\) |
0.391683 | + | 0.920100i | \(0.371893\pi\) | |||||||
\(420\) | 10.9848 | − | 6.08158i | 0.536005 | − | 0.296751i | ||||
\(421\) | 37.3580 | + | 10.0100i | 1.82072 | + | 0.487859i | 0.996877 | − | 0.0789649i | \(-0.0251615\pi\) |
0.823839 | + | 0.566824i | \(0.191828\pi\) | |||||||
\(422\) | 1.35507 | + | 0.455476i | 0.0659638 | + | 0.0221722i | ||||
\(423\) | 8.19372 | − | 7.44431i | 0.398392 | − | 0.361955i | ||||
\(424\) | 1.38263 | + | 2.02964i | 0.0671463 | + | 0.0985681i | ||||
\(425\) | 11.1499 | − | 6.43738i | 0.540848 | − | 0.312259i | ||||
\(426\) | 30.1018 | − | 9.51953i | 1.45844 | − | 0.461223i | ||||
\(427\) | −2.39485 | − | 8.93769i | −0.115895 | − | 0.432525i | ||||
\(428\) | 18.1421 | + | 7.38805i | 0.876930 | + | 0.357115i | ||||
\(429\) | 14.8923 | + | 12.0045i | 0.719007 | + | 0.579582i | ||||
\(430\) | −2.66059 | + | 4.00771i | −0.128305 | + | 0.193269i | ||||
\(431\) | 29.0431 | 1.39896 | 0.699479 | − | 0.714653i | \(-0.253415\pi\) | ||||
0.699479 | + | 0.714653i | \(0.253415\pi\) | |||||||
\(432\) | −6.79047 | − | 19.6441i | −0.326707 | − | 0.945126i | ||||
\(433\) | 28.4001 | 1.36482 | 0.682411 | − | 0.730969i | \(-0.260932\pi\) | ||||
0.682411 | + | 0.730969i | \(0.260932\pi\) | |||||||
\(434\) | −2.62744 | + | 3.95777i | −0.126121 | + | 0.189979i | ||||
\(435\) | 33.2961 | + | 26.8395i | 1.59642 | + | 1.28686i | ||||
\(436\) | 5.72094 | − | 14.0483i | 0.273984 | − | 0.672793i | ||||
\(437\) | 2.87019 | + | 10.7117i | 0.137300 | + | 0.512409i | ||||
\(438\) | −6.71698 | + | 2.12421i | −0.320950 | + | 0.101499i | ||||
\(439\) | −2.37559 | + | 1.37154i | −0.113381 | + | 0.0654603i | −0.555618 | − | 0.831438i | \(-0.687518\pi\) |
0.442237 | + | 0.896898i | \(0.354185\pi\) | |||||||
\(440\) | −44.0376 | − | 8.35016i | −2.09941 | − | 0.398078i | ||||
\(441\) | −15.8386 | − | 5.06803i | −0.754218 | − | 0.241335i | ||||
\(442\) | 8.98867 | + | 3.02134i | 0.427548 | + | 0.143710i | ||||
\(443\) | 6.83170 | + | 1.83055i | 0.324584 | + | 0.0869720i | 0.417432 | − | 0.908708i | \(-0.362930\pi\) |
−0.0928477 | + | 0.995680i | \(0.529597\pi\) | |||||||
\(444\) | −12.1065 | − | 21.8673i | −0.574549 | − | 1.03778i | ||||
\(445\) | 6.14850 | − | 1.64749i | 0.291467 | − | 0.0780983i | ||||
\(446\) | −0.784757 | + | 12.5471i | −0.0371593 | + | 0.594124i | ||||
\(447\) | 12.4180 | − | 28.0599i | 0.587349 | − | 1.32719i | ||||
\(448\) | −9.54905 | + | 1.43167i | −0.451150 | + | 0.0676398i | ||||
\(449\) | 2.27698 | 0.107457 | 0.0537287 | − | 0.998556i | \(-0.482889\pi\) | ||||
0.0537287 | + | 0.998556i | \(0.482889\pi\) | |||||||
\(450\) | 2.57209 | + | 16.8530i | 0.121250 | + | 0.794459i | ||||
\(451\) | −42.7965 | − | 42.7965i | −2.01521 | − | 2.01521i | ||||
\(452\) | 12.0451 | + | 1.51263i | 0.566555 | + | 0.0711483i | ||||
\(453\) | −8.88931 | − | 1.38755i | −0.417656 | − | 0.0651928i | ||||
\(454\) | −23.8724 | + | 21.0620i | −1.12039 | + | 0.988489i | ||||
\(455\) | −6.56927 | − | 3.79277i | −0.307972 | − | 0.177808i | ||||
\(456\) | −12.9576 | − | 1.04447i | −0.606793 | − | 0.0489117i | ||||
\(457\) | 21.7536 | − | 12.5595i | 1.01759 | − | 0.587507i | 0.104187 | − | 0.994558i | \(-0.466776\pi\) |
0.913406 | + | 0.407051i | \(0.133443\pi\) | |||||||
\(458\) | −6.24867 | + | 18.5902i | −0.291981 | + | 0.868663i | ||||
\(459\) | 7.45861 | − | 14.8845i | 0.348138 | − | 0.694747i | ||||
\(460\) | −24.8657 | + | 3.42486i | −1.15937 | + | 0.159685i | ||||
\(461\) | 5.73994 | − | 21.4217i | 0.267336 | − | 0.997710i | −0.693470 | − | 0.720486i | \(-0.743919\pi\) |
0.960805 | − | 0.277224i | \(-0.0894145\pi\) | |||||||
\(462\) | −8.39386 | − | 13.1507i | −0.390518 | − | 0.611828i | ||||
\(463\) | 19.5447 | − | 33.8525i | 0.908321 | − | 1.57326i | 0.0919260 | − | 0.995766i | \(-0.470698\pi\) |
0.816396 | − | 0.577493i | \(-0.195969\pi\) | |||||||
\(464\) | −16.7833 | − | 28.2837i | −0.779144 | − | 1.31304i | ||||
\(465\) | −8.53501 | − | 11.6923i | −0.395802 | − | 0.542219i | ||||
\(466\) | −5.24119 | + | 7.89494i | −0.242794 | + | 0.365726i | ||||
\(467\) | 4.46264 | + | 4.46264i | 0.206506 | + | 0.206506i | 0.802781 | − | 0.596274i | \(-0.203353\pi\) |
−0.596274 | + | 0.802781i | \(0.703353\pi\) | |||||||
\(468\) | −8.05478 | + | 9.63292i | −0.372332 | + | 0.445282i | ||||
\(469\) | 8.71705 | − | 8.71705i | 0.402516 | − | 0.402516i | ||||
\(470\) | 15.3615 | − | 3.10332i | 0.708575 | − | 0.143146i | ||||
\(471\) | −16.8118 | − | 7.44009i | −0.774648 | − | 0.342821i | ||||
\(472\) | 34.4878 | − | 2.57097i | 1.58743 | − | 0.118338i | ||||
\(473\) | 5.17638 | + | 2.98858i | 0.238010 | + | 0.137415i | ||||
\(474\) | −3.01985 | + | 3.30129i | −0.138706 | + | 0.151633i | ||||
\(475\) | 10.2993 | + | 2.75970i | 0.472565 | + | 0.126624i | ||||
\(476\) | −6.16410 | − | 4.67165i | −0.282531 | − | 0.214125i | ||||
\(477\) | −2.19090 | − | 1.40889i | −0.100314 | − | 0.0645085i | ||||
\(478\) | −2.64645 | + | 1.31492i | −0.121046 | + | 0.0601432i | ||||
\(479\) | 2.80441 | + | 4.85738i | 0.128137 | + | 0.221939i | 0.922955 | − | 0.384909i | \(-0.125767\pi\) |
−0.794818 | + | 0.606848i | \(0.792434\pi\) | |||||||
\(480\) | 6.00006 | − | 28.8055i | 0.273864 | − | 1.31478i | ||||
\(481\) | −7.55020 | + | 13.0773i | −0.344260 | + | 0.596275i | ||||
\(482\) | 0.761430 | − | 12.1742i | 0.0346822 | − | 0.554519i | ||||
\(483\) | −6.80199 | − | 5.48299i | −0.309501 | − | 0.249485i | ||||
\(484\) | −4.19825 | + | 33.4307i | −0.190829 | + | 1.51958i | ||||
\(485\) | −13.0083 | + | 13.0083i | −0.590678 | + | 0.590678i | ||||
\(486\) | 14.7690 | + | 16.3670i | 0.669935 | + | 0.742420i | ||||
\(487\) | 34.1026i | 1.54534i | 0.634810 | + | 0.772668i | \(0.281078\pi\) | ||||
−0.634810 | + | 0.772668i | \(0.718922\pi\) | |||||||
\(488\) | −19.5325 | − | 9.41573i | −0.884193 | − | 0.426230i | ||||
\(489\) | 0.685919 | + | 6.38857i | 0.0310183 | + | 0.288901i | ||||
\(490\) | −15.5750 | − | 17.6532i | −0.703605 | − | 0.797490i | ||||
\(491\) | 3.91173 | + | 14.5988i | 0.176534 | + | 0.658833i | 0.996285 | + | 0.0861138i | \(0.0274449\pi\) |
−0.819751 | + | 0.572719i | \(0.805888\pi\) | |||||||
\(492\) | 28.5942 | − | 27.5846i | 1.28913 | − | 1.24361i | ||||
\(493\) | 6.81831 | − | 25.4463i | 0.307081 | − | 1.14604i | ||||
\(494\) | 3.49455 | + | 7.03322i | 0.157227 | + | 0.316440i | ||||
\(495\) | 46.4576 | − | 10.0923i | 2.08811 | − | 0.453616i | ||||
\(496\) | 3.00953 | + | 10.7179i | 0.135132 | + | 0.481247i | ||||
\(497\) | 7.77826 | + | 13.4723i | 0.348902 | + | 0.604317i | ||||
\(498\) | −7.16308 | + | 0.318922i | −0.320985 | + | 0.0142912i | ||||
\(499\) | −8.85266 | + | 2.37206i | −0.396300 | + | 0.106188i | −0.451464 | − | 0.892289i | \(-0.649098\pi\) |
0.0551648 | + | 0.998477i | \(0.482432\pi\) | |||||||
\(500\) | 2.22382 | − | 5.46080i | 0.0994521 | − | 0.244214i | ||||
\(501\) | 3.65800 | + | 9.46606i | 0.163427 | + | 0.422912i | ||||
\(502\) | −32.7500 | + | 6.61613i | −1.46171 | + | 0.295292i | ||||
\(503\) | − | 6.41865i | − | 0.286194i | −0.989709 | − | 0.143097i | \(-0.954294\pi\) | ||
0.989709 | − | 0.143097i | \(-0.0457060\pi\) | |||||||
\(504\) | 8.73047 | − | 5.35417i | 0.388886 | − | 0.238494i | ||||
\(505\) | − | 39.2377i | − | 1.74605i | ||||||
\(506\) | 6.17586 | + | 30.5707i | 0.274551 | + | 1.35903i | ||||
\(507\) | −14.7520 | − | 2.30267i | −0.655159 | − | 0.102265i | ||||
\(508\) | 9.09042 | + | 21.5807i | 0.403322 | + | 0.957489i | ||||
\(509\) | 23.2651 | − | 6.23386i | 1.03121 | − | 0.276311i | 0.296742 | − | 0.954958i | \(-0.404100\pi\) |
0.734465 | + | 0.678647i | \(0.237433\pi\) | |||||||
\(510\) | 19.8667 | − | 12.6805i | 0.879713 | − | 0.561504i | ||||
\(511\) | −1.73566 | − | 3.00625i | −0.0767810 | − | 0.132989i | ||||
\(512\) | −12.0609 | + | 19.1451i | −0.533023 | + | 0.846101i | ||||
\(513\) | 13.0844 | − | 4.34868i | 0.577691 | − | 0.191999i | ||||
\(514\) | −18.4143 | + | 9.14942i | −0.812221 | + | 0.403563i | ||||
\(515\) | −10.2640 | + | 38.3057i | −0.452285 | + | 1.68795i | ||||
\(516\) | −2.02261 | + | 3.36225i | −0.0890403 | + | 0.148015i | ||||
\(517\) | −5.03995 | − | 18.8094i | −0.221657 | − | 0.827235i | ||||
\(518\) | 9.23546 | − | 8.14820i | 0.405783 | − | 0.358011i | ||||
\(519\) | −1.04269 | + | 0.761126i | −0.0457689 | + | 0.0334097i | ||||
\(520\) | −16.7808 | + | 5.86449i | −0.735885 | + | 0.257175i | ||||
\(521\) | − | 15.3122i | − | 0.670839i | −0.942069 | − | 0.335420i | \(-0.891122\pi\) | ||
0.942069 | − | 0.335420i | \(-0.108878\pi\) | |||||||
\(522\) | 28.1054 | + | 20.6625i | 1.23014 | + | 0.904373i | ||||
\(523\) | −19.6619 | + | 19.6619i | −0.859756 | + | 0.859756i | −0.991309 | − | 0.131553i | \(-0.958004\pi\) |
0.131553 | + | 0.991309i | \(0.458004\pi\) | |||||||
\(524\) | 10.9627 | + | 14.1115i | 0.478908 | + | 0.616465i | ||||
\(525\) | −7.83568 | + | 3.02797i | −0.341977 | + | 0.132151i | ||||
\(526\) | 11.8558 | + | 0.741515i | 0.516936 | + | 0.0323316i | ||||
\(527\) | −4.45858 | + | 7.72248i | −0.194219 | + | 0.336397i | ||||
\(528\) | −36.1874 | − | 5.20654i | −1.57486 | − | 0.226585i | ||||
\(529\) | −2.76726 | − | 4.79304i | −0.120316 | − | 0.208393i | ||||
\(530\) | −1.64080 | − | 3.30232i | −0.0712719 | − | 0.143444i | ||||
\(531\) | −32.6084 | + | 16.7990i | −1.41509 | + | 0.729016i | ||||
\(532\) | −0.874000 | − | 6.34556i | −0.0378927 | − | 0.275115i | ||||
\(533\) | −23.1850 | − | 6.21241i | −1.00426 | − | 0.269089i | ||||
\(534\) | 4.95040 | − | 1.56554i | 0.214225 | − | 0.0677475i | ||||
\(535\) | −25.4723 | − | 14.7065i | −1.10127 | − | 0.635816i | ||||
\(536\) | −2.14763 | − | 28.8090i | −0.0927636 | − | 1.24436i | ||||
\(537\) | −0.0300353 | − | 0.279745i | −0.00129612 | − | 0.0120719i | ||||
\(538\) | −1.43925 | − | 7.12433i | −0.0620505 | − | 0.307152i | ||||
\(539\) | −20.6839 | + | 20.6839i | −0.890921 | + | 0.890921i | ||||
\(540\) | 6.07608 | + | 30.6114i | 0.261473 | + | 1.31730i | ||||
\(541\) | 12.1084 | + | 12.1084i | 0.520580 | + | 0.520580i | 0.917746 | − | 0.397167i | \(-0.130007\pi\) |
−0.397167 | + | 0.917746i | \(0.630007\pi\) | |||||||
\(542\) | −3.08167 | − | 2.04582i | −0.132369 | − | 0.0878754i | ||||
\(543\) | −19.1456 | + | 2.05560i | −0.821618 | + | 0.0882144i | ||||
\(544\) | −17.7217 | + | 3.80102i | −0.759813 | + | 0.162967i | ||||
\(545\) | −11.3880 | + | 19.7245i | −0.487807 | + | 0.844906i | ||||
\(546\) | −5.49064 | − | 2.85225i | −0.234978 | − | 0.122065i | ||||
\(547\) | −9.77287 | + | 36.4729i | −0.417858 | + | 1.55947i | 0.361184 | + | 0.932495i | \(0.382373\pi\) |
−0.779042 | + | 0.626972i | \(0.784294\pi\) | |||||||
\(548\) | −2.43262 | − | 1.84364i | −0.103916 | − | 0.0787562i | ||||
\(549\) | 22.9724 | + | 1.10089i | 0.980440 | + | 0.0469848i | ||||
\(550\) | 28.4249 | + | 9.55437i | 1.21204 | + | 0.407400i | ||||
\(551\) | 18.8946 | − | 10.9088i | 0.804936 | − | 0.464730i | ||||
\(552\) | −20.1379 | + | 3.69291i | −0.857125 | + | 0.157181i | ||||
\(553\) | −1.90925 | − | 1.10231i | −0.0811895 | − | 0.0468748i | ||||
\(554\) | −9.98686 | − | 11.3195i | −0.424301 | − | 0.480917i | ||||
\(555\) | 13.5281 | + | 35.0076i | 0.574235 | + | 1.48599i | ||||
\(556\) | −27.5634 | + | 21.4130i | −1.16895 | + | 0.908112i | ||||
\(557\) | −29.5565 | − | 29.5565i | −1.25235 | − | 1.25235i | −0.954664 | − | 0.297685i | \(-0.903786\pi\) |
−0.297685 | − | 0.954664i | \(-0.596214\pi\) | |||||||
\(558\) | −7.37905 | − | 9.21798i | −0.312380 | − | 0.390228i | ||||
\(559\) | 2.37048 | 0.100260 | ||||||||
\(560\) | 14.4973 | − | 0.173197i | 0.612625 | − | 0.00731891i | ||||
\(561\) | −17.2662 | − | 23.6535i | −0.728981 | − | 0.998650i | ||||
\(562\) | −10.1349 | − | 0.633882i | −0.427513 | − | 0.0267387i | ||||
\(563\) | −25.7907 | + | 6.91061i | −1.08695 | + | 0.291247i | −0.757440 | − | 0.652905i | \(-0.773550\pi\) |
−0.329510 | + | 0.944152i | \(0.606884\pi\) | |||||||
\(564\) | 12.4049 | − | 3.08609i | 0.522342 | − | 0.129948i | ||||
\(565\) | −17.6070 | − | 4.71778i | −0.740731 | − | 0.198478i | ||||
\(566\) | −6.50646 | + | 19.3572i | −0.273487 | + | 0.813642i | ||||
\(567\) | −6.30607 | + | 8.84493i | −0.264830 | + | 0.371452i | ||||
\(568\) | 35.8170 | + | 6.79143i | 1.50285 | + | 0.284962i | ||||
\(569\) | −9.49763 | + | 5.48346i | −0.398161 | + | 0.229879i | −0.685690 | − | 0.727893i | \(-0.740500\pi\) |
0.287529 | + | 0.957772i | \(0.407166\pi\) | |||||||
\(570\) | 19.0601 | + | 4.20832i | 0.798341 | + | 0.176267i | ||||
\(571\) | 9.71100 | + | 36.2420i | 0.406393 | + | 1.51668i | 0.801472 | + | 0.598032i | \(0.204050\pi\) |
−0.395080 | + | 0.918647i | \(0.629283\pi\) | |||||||
\(572\) | 8.57419 | + | 20.3552i | 0.358505 | + | 0.851093i | ||||
\(573\) | −1.20439 | + | 7.71592i | −0.0503142 | + | 0.322337i | ||||
\(574\) | 16.3102 | + | 10.8278i | 0.680775 | + | 0.451944i | ||||
\(575\) | 16.7931 | 0.700322 | ||||||||
\(576\) | 3.84415 | − | 23.6901i | 0.160173 | − | 0.987089i | ||||
\(577\) | −29.3500 | −1.22186 | −0.610929 | − | 0.791686i | \(-0.709204\pi\) | ||||
−0.610929 | + | 0.791686i | \(0.709204\pi\) | |||||||
\(578\) | 7.93428 | + | 5.26731i | 0.330022 | + | 0.219091i | ||||
\(579\) | 31.1688 | − | 12.0447i | 1.29533 | − | 0.500559i | ||||
\(580\) | 19.1701 | + | 45.5100i | 0.795996 | + | 1.88970i | ||||
\(581\) | −0.914424 | − | 3.41268i | −0.0379367 | − | 0.141582i | ||||
\(582\) | −10.1280 | + | 11.0719i | −0.419821 | + | 0.458946i | ||||
\(583\) | −3.96799 | + | 2.29092i | −0.164337 | + | 0.0948802i | ||||
\(584\) | −7.99230 | − | 1.51546i | −0.330724 | − | 0.0627100i | ||||
\(585\) | 13.9549 | − | 12.6785i | 0.576963 | − | 0.524193i | ||||
\(586\) | 11.3566 | − | 33.7867i | 0.469138 | − | 1.39572i | ||||
\(587\) | −2.39978 | − | 0.643018i | −0.0990494 | − | 0.0265402i | 0.208954 | − | 0.977925i | \(-0.432994\pi\) |
−0.308003 | + | 0.951385i | \(0.599661\pi\) | |||||||
\(588\) | −13.3319 | − | 13.8198i | −0.549798 | − | 0.569921i | ||||
\(589\) | −7.13339 | + | 1.91139i | −0.293926 | + | 0.0787573i | ||||
\(590\) | −51.8266 | − | 3.24148i | −2.13367 | − | 0.133450i | ||||
\(591\) | −14.7028 | + | 1.57859i | −0.604791 | + | 0.0649344i | ||||
\(592\) | −0.344780 | − | 28.8596i | −0.0141704 | − | 1.18612i | ||||
\(593\) | −3.31760 | −0.136238 | −0.0681188 | − | 0.997677i | \(-0.521700\pi\) | ||||
−0.0681188 | + | 0.997677i | \(0.521700\pi\) | |||||||
\(594\) | 37.4903 | − | 9.90933i | 1.53825 | − | 0.406585i | ||||
\(595\) | 8.21187 | + | 8.21187i | 0.336654 | + | 0.336654i | ||||
\(596\) | 27.9807 | − | 21.7371i | 1.14613 | − | 0.890387i | ||||
\(597\) | −9.58009 | + | 11.8847i | −0.392087 | + | 0.486408i | ||||
\(598\) | 8.18314 | + | 9.27506i | 0.334633 | + | 0.379285i | ||||
\(599\) | −16.9013 | − | 9.75798i | −0.690569 | − | 0.398700i | 0.113256 | − | 0.993566i | \(-0.463872\pi\) |
−0.803825 | + | 0.594866i | \(0.797205\pi\) | |||||||
\(600\) | −6.60628 | + | 18.5439i | −0.269700 | + | 0.757052i | ||||
\(601\) | 5.79012 | − | 3.34293i | 0.236184 | − | 0.136361i | −0.377238 | − | 0.926116i | \(-0.623126\pi\) |
0.613422 | + | 0.789756i | \(0.289793\pi\) | |||||||
\(602\) | −1.83264 | − | 0.616000i | −0.0746928 | − | 0.0251063i | ||||
\(603\) | 14.0329 | + | 27.2392i | 0.571465 | + | 1.10926i | ||||
\(604\) | −8.27961 | − | 6.27495i | −0.336893 | − | 0.255324i | ||||
\(605\) | 13.0940 | − | 48.8674i | 0.532346 | − | 1.98674i | ||||
\(606\) | −1.42354 | − | 31.9732i | −0.0578276 | − | 1.29882i | ||||
\(607\) | −4.11486 | + | 7.12715i | −0.167017 | + | 0.289282i | −0.937370 | − | 0.348336i | \(-0.886747\pi\) |
0.770353 | + | 0.637618i | \(0.220080\pi\) | |||||||
\(608\) | −12.6040 | − | 8.15216i | −0.511160 | − | 0.330614i | ||||
\(609\) | −6.95609 | + | 15.7182i | −0.281875 | + | 0.636933i | ||||
\(610\) | 27.1251 | + | 18.0075i | 1.09826 | + | 0.729101i | ||||
\(611\) | −5.46079 | − | 5.46079i | −0.220920 | − | 0.220920i | ||||
\(612\) | 15.7286 | − | 11.0536i | 0.635790 | − | 0.446817i | ||||
\(613\) | −5.65366 | + | 5.65366i | −0.228349 | + | 0.228349i | −0.812003 | − | 0.583654i | \(-0.801623\pi\) |
0.583654 | + | 0.812003i | \(0.301623\pi\) | |||||||
\(614\) | −1.41662 | − | 7.01230i | −0.0571701 | − | 0.282994i | ||||
\(615\) | −48.1848 | + | 35.1733i | −1.94300 | + | 1.41832i | ||||
\(616\) | −1.33923 | − | 17.9649i | −0.0539593 | − | 0.723827i | ||||
\(617\) | −24.8990 | − | 14.3754i | −1.00240 | − | 0.578733i | −0.0934395 | − | 0.995625i | \(-0.529786\pi\) |
−0.908956 | + | 0.416891i | \(0.863120\pi\) | |||||||
\(618\) | −6.97398 | + | 31.5862i | −0.280535 | + | 1.27058i | ||||
\(619\) | 20.9653 | + | 5.61764i | 0.842668 | + | 0.225792i | 0.654232 | − | 0.756293i | \(-0.272992\pi\) |
0.188435 | + | 0.982086i | \(0.439658\pi\) | |||||||
\(620\) | −2.28077 | − | 16.5592i | −0.0915978 | − | 0.665034i | ||||
\(621\) | 18.1325 | − | 11.9491i | 0.727631 | − | 0.479502i | ||||
\(622\) | −2.70020 | − | 5.43449i | −0.108268 | − | 0.217903i | ||||
\(623\) | 1.27918 | + | 2.21560i | 0.0512491 | + | 0.0887661i | ||||
\(624\) | −13.4612 | + | 5.38755i | −0.538880 | + | 0.215675i | ||||
\(625\) | −14.4724 | + | 25.0669i | −0.578896 | + | 1.00268i | ||||
\(626\) | 14.1477 | + | 0.884865i | 0.565457 | + | 0.0353663i | ||||
\(627\) | 3.74045 | − | 23.9631i | 0.149379 | − | 0.956995i | ||||
\(628\) | −13.0236 | − | 16.7644i | −0.519697 | − | 0.668971i | ||||
\(629\) | 16.3472 | − | 16.3472i | 0.651807 | − | 0.651807i | ||||
\(630\) | −14.0834 | + | 6.17556i | −0.561094 | + | 0.246040i | ||||
\(631\) | 13.0320i | 0.518796i | 0.965770 | + | 0.259398i | \(0.0835242\pi\) | ||||
−0.965770 | + | 0.259398i | \(0.916476\pi\) | |||||||
\(632\) | −4.87705 | + | 1.70442i | −0.193999 | + | 0.0677981i | ||||
\(633\) | −1.60108 | − | 0.708559i | −0.0636372 | − | 0.0281627i | ||||
\(634\) | 29.2720 | − | 25.8259i | 1.16254 | − | 1.02568i | ||||
\(635\) | −9.10043 | − | 33.9633i | −0.361140 | − | 1.34779i | ||||
\(636\) | −1.45683 | − | 2.63140i | −0.0577673 | − | 0.104342i | ||||
\(637\) | −3.00251 | + | 11.2055i | −0.118964 | + | 0.443979i | ||||
\(638\) | 54.9507 | − | 27.3030i | 2.17552 | − | 1.08094i | ||||
\(639\) | −37.7853 | + | 8.20839i | −1.49476 | + | 0.324719i | ||||
\(640\) | 21.8628 | − | 26.0069i | 0.864202 | − | 1.02801i | ||||
\(641\) | 6.70219 | + | 11.6085i | 0.264721 | + | 0.458510i | 0.967490 | − | 0.252908i | \(-0.0813869\pi\) |
−0.702770 | + | 0.711417i | \(0.748054\pi\) | |||||||
\(642\) | −21.2900 | − | 11.0596i | −0.840248 | − | 0.436487i | ||||
\(643\) | −9.89172 | + | 2.65048i | −0.390091 | + | 0.104525i | −0.448533 | − | 0.893766i | \(-0.648053\pi\) |
0.0584419 | + | 0.998291i | \(0.481387\pi\) | |||||||
\(644\) | −3.91622 | − | 9.29714i | −0.154321 | − | 0.366359i | ||||
\(645\) | 3.69744 | − | 4.58690i | 0.145586 | − | 0.180609i | ||||
\(646\) | −2.38091 | − | 11.7856i | −0.0936755 | − | 0.463697i | ||||
\(647\) | − | 25.5231i | − | 1.00342i | −0.865036 | − | 0.501709i | \(-0.832705\pi\) | ||
0.865036 | − | 0.501709i | \(-0.167295\pi\) | |||||||
\(648\) | 6.06174 | + | 24.7236i | 0.238128 | + | 0.971234i | ||||
\(649\) | 64.5223i | 2.53272i | ||||||||
\(650\) | 11.6573 | − | 2.35499i | 0.457236 | − | 0.0923703i | ||||
\(651\) | 3.65137 | − | 4.52975i | 0.143108 | − | 0.177535i | ||||
\(652\) | −2.79824 | + | 6.87136i | −0.109588 | + | 0.269103i | ||||
\(653\) | −16.5940 | + | 4.44634i | −0.649372 | + | 0.173999i | −0.568445 | − | 0.822721i | \(-0.692455\pi\) |
−0.0809269 | + | 0.996720i | \(0.525788\pi\) | |||||||
\(654\) | −8.56400 | + | 16.4859i | −0.334879 | + | 0.644650i | ||||
\(655\) | −13.4157 | − | 23.2366i | −0.524194 | − | 0.907930i | ||||
\(656\) | 44.1690 | − | 12.4024i | 1.72451 | − | 0.484233i | ||||
\(657\) | 8.43150 | − | 1.83164i | 0.328944 | − | 0.0714590i | ||||
\(658\) | 2.80274 | + | 5.64085i | 0.109262 | + | 0.219903i | ||||
\(659\) | 1.29909 | − | 4.84828i | 0.0506054 | − | 0.188862i | −0.935996 | − | 0.352010i | \(-0.885498\pi\) |
0.986602 | + | 0.163148i | \(0.0521649\pi\) | |||||||
\(660\) | 52.7614 | + | 15.1586i | 2.05374 | + | 0.590047i | ||||
\(661\) | −6.49124 | − | 24.2257i | −0.252480 | − | 0.942269i | −0.969475 | − | 0.245190i | \(-0.921150\pi\) |
0.716995 | − | 0.697079i | \(-0.245517\pi\) | |||||||
\(662\) | −4.47285 | − | 5.06968i | −0.173842 | − | 0.197039i | ||||
\(663\) | −10.6205 | − | 4.70013i | −0.412468 | − | 0.182538i | ||||
\(664\) | −7.45808 | − | 3.59521i | −0.289430 | − | 0.139521i | ||||
\(665\) | 9.61796i | 0.372969i | ||||||||
\(666\) | 12.2936 | + | 28.0355i | 0.476366 | + | 1.08635i | ||||
\(667\) | 24.2973 | − | 24.2973i | 0.940795 | − | 0.940795i | ||||
\(668\) | −1.46011 | + | 11.6269i | −0.0564934 | + | 0.449858i | ||||
\(669\) | 2.37461 | − | 15.2129i | 0.0918076 | − | 0.588163i | ||||
\(670\) | −2.70774 | + | 43.2929i | −0.104609 | + | 1.67255i | ||||
\(671\) | 20.2274 | − | 35.0349i | 0.780871 | − | 1.35251i | ||||
\(672\) | 11.8070 | − | 0.667096i | 0.455466 | − | 0.0257338i | ||||
\(673\) | −12.8215 | − | 22.2075i | −0.494233 | − | 0.856037i | 0.505745 | − | 0.862683i | \(-0.331218\pi\) |
−0.999978 | + | 0.00664596i | \(0.997885\pi\) | |||||||
\(674\) | 18.9411 | − | 9.41116i | 0.729585 | − | 0.362504i | ||||
\(675\) | −1.23267 | − | 20.8432i | −0.0474455 | − | 0.802256i | ||||
\(676\) | −13.7402 | − | 10.4134i | −0.528469 | − | 0.400516i | ||||
\(677\) | 22.4419 | + | 6.01329i | 0.862513 | + | 0.231110i | 0.662847 | − | 0.748755i | \(-0.269348\pi\) |
0.199665 | + | 0.979864i | \(0.436015\pi\) | |||||||
\(678\) | −14.5184 | − | 3.20555i | −0.557576 | − | 0.123108i | ||||
\(679\) | −6.40328 | − | 3.69694i | −0.245735 | − | 0.141875i | ||||
\(680\) | 27.1395 | − | 2.02317i | 1.04075 | − | 0.0775850i | ||||
\(681\) | 31.4925 | − | 22.9885i | 1.20680 | − | 0.880921i | ||||
\(682\) | −20.3584 | + | 4.11278i | −0.779564 | + | 0.157487i | ||||
\(683\) | −29.4647 | + | 29.4647i | −1.12744 | + | 1.12744i | −0.136843 | + | 0.990593i | \(0.543696\pi\) |
−0.990593 | + | 0.136843i | \(0.956304\pi\) | |||||||
\(684\) | 15.6840 | + | 2.73770i | 0.599694 | + | 0.104678i | ||||
\(685\) | 3.24076 | + | 3.24076i | 0.123823 | + | 0.123823i | ||||
\(686\) | 11.8417 | − | 17.8374i | 0.452117 | − | 0.681035i | ||||
\(687\) | 9.72072 | − | 21.9652i | 0.370869 | − | 0.838025i | ||||
\(688\) | −3.89639 | + | 2.31208i | −0.148548 | + | 0.0881472i | ||||
\(689\) | −0.908553 | + | 1.57366i | −0.0346131 | + | 0.0599517i | ||||
\(690\) | 30.7113 | − | 1.36736i | 1.16916 | − | 0.0520544i | ||||
\(691\) | 5.06682 | − | 18.9096i | 0.192751 | − | 0.719357i | −0.800087 | − | 0.599885i | \(-0.795213\pi\) |
0.992838 | − | 0.119472i | \(-0.0381202\pi\) | |||||||
\(692\) | −1.47670 | + | 0.203392i | −0.0561357 | + | 0.00773180i | ||||
\(693\) | 8.75073 | + | 16.9860i | 0.332413 | + | 0.645244i | ||||
\(694\) | −13.7532 | + | 40.9166i | −0.522063 | + | 1.55317i | ||||
\(695\) | 45.3871 | − | 26.2042i | 1.72163 | − | 0.993984i | ||||
\(696\) | 17.2721 | + | 36.3888i | 0.654697 | + | 1.37931i | ||||
\(697\) | 31.8248 | + | 18.3740i | 1.20545 | + | 0.695966i | ||||
\(698\) | −35.6466 | + | 31.4501i | −1.34924 | + | 1.19040i | ||||
\(699\) | 7.28373 | − | 9.03591i | 0.275496 | − | 0.341770i | ||||
\(700\) | −9.62434 | − | 1.20863i | −0.363766 | − | 0.0456819i | ||||
\(701\) | 7.85067 | + | 7.85067i | 0.296516 | + | 0.296516i | 0.839647 | − | 0.543132i | \(-0.182762\pi\) |
−0.543132 | + | 0.839647i | \(0.682762\pi\) | |||||||
\(702\) | 10.9113 | − | 10.8375i | 0.411821 | − | 0.409037i | ||||
\(703\) | 19.1463 | 0.722117 | ||||||||
\(704\) | −33.9473 | − | 25.0952i | −1.27944 | − | 0.945810i | ||||
\(705\) | −19.0844 | + | 2.04902i | −0.718758 | + | 0.0771707i | ||||
\(706\) | 2.91810 | − | 46.6562i | 0.109824 | − | 1.75593i | ||||
\(707\) | 15.2329 | − | 4.08164i | 0.572892 | − | 0.153506i | ||||
\(708\) | −42.3491 | − | 0.761081i | −1.59158 | − | 0.0286032i | ||||
\(709\) | 48.4664 | + | 12.9865i | 1.82020 | + | 0.487720i | 0.996813 | − | 0.0797675i | \(-0.0254178\pi\) |
0.823382 | + | 0.567487i | \(0.192084\pi\) | |||||||
\(710\) | −51.8857 | − | 17.4402i | −1.94724 | − | 0.654519i | ||||
\(711\) | 4.05576 | − | 3.68481i | 0.152103 | − | 0.138191i | ||||
\(712\) | 5.89031 | + | 1.11689i | 0.220749 | + | 0.0418571i | ||||
\(713\) | −10.0728 | + | 5.81552i | −0.377229 | + | 0.217793i | ||||
\(714\) | 6.98946 | + | 6.39361i | 0.261574 | + | 0.239275i | ||||
\(715\) | −8.58364 | − | 32.0346i | −0.321010 | − | 1.19803i | ||||
\(716\) | 0.122530 | − | 0.300886i | 0.00457918 | − | 0.0112446i | ||||
\(717\) | 3.37596 | − | 1.30458i | 0.126078 | − | 0.0487206i | ||||
\(718\) | −10.6172 | + | 15.9930i | −0.396232 | + | 0.596854i | ||||
\(719\) | −46.4032 | −1.73055 | −0.865273 | − | 0.501301i | \(-0.832855\pi\) | ||||
−0.865273 | + | 0.501301i | \(0.832855\pi\) | |||||||
\(720\) | −10.5717 | + | 34.4510i | −0.393982 | + | 1.28391i | ||||
\(721\) | −15.9388 | −0.593591 | ||||||||
\(722\) | −9.35392 | + | 14.0900i | −0.348117 | + | 0.524377i | ||||
\(723\) | −2.30402 | + | 14.7607i | −0.0856875 | + | 0.548955i | ||||
\(724\) | −20.5925 | − | 8.38594i | −0.765314 | − | 0.311661i | ||||
\(725\) | −8.55107 | − | 31.9130i | −0.317579 | − | 1.18522i | ||||
\(726\) | 8.89686 | − | 40.2952i | 0.330194 | − | 1.49549i | ||||
\(727\) | −13.4929 | + | 7.79014i | −0.500425 | + | 0.288920i | −0.728889 | − | 0.684632i | \(-0.759963\pi\) |
0.228464 | + | 0.973552i | \(0.426630\pi\) | |||||||
\(728\) | −4.02231 | − | 5.90460i | −0.149077 | − | 0.218839i | ||||
\(729\) | −16.1620 | − | 21.6285i | −0.598591 | − | 0.801055i | ||||
\(730\) | 11.5779 | + | 3.89164i | 0.428517 | + | 0.144036i | ||||
\(731\) | −3.50550 | − | 0.939296i | −0.129656 | − | 0.0347411i | ||||
\(732\) | 22.7565 | + | 13.6895i | 0.841104 | + | 0.505978i | ||||
\(733\) | 22.5000 | − | 6.02884i | 0.831055 | − | 0.222680i | 0.181881 | − | 0.983321i | \(-0.441781\pi\) |
0.649174 | + | 0.760640i | \(0.275115\pi\) | |||||||
\(734\) | −0.332316 | + | 5.31327i | −0.0122660 | + | 0.196116i | ||||
\(735\) | 16.9996 | + | 23.2881i | 0.627038 | + | 0.858996i | ||||
\(736\) | −22.4973 | − | 7.26401i | −0.829262 | − | 0.267755i | ||||
\(737\) | 53.8981 | 1.98536 | ||||||||
\(738\) | −37.9878 | + | 30.4095i | −1.39835 | + | 1.11939i | ||||
\(739\) | 17.1341 | + | 17.1341i | 0.630288 | + | 0.630288i | 0.948140 | − | 0.317853i | \(-0.102962\pi\) |
−0.317853 | + | 0.948140i | \(0.602962\pi\) | |||||||
\(740\) | −5.39981 | + | 42.9988i | −0.198501 | + | 1.58067i | ||||
\(741\) | −3.46707 | − | 8.97199i | −0.127366 | − | 0.329594i | ||||
\(742\) | 1.11135 | − | 0.980513i | 0.0407989 | − | 0.0359958i | ||||
\(743\) | 34.9775 | + | 20.1943i | 1.28320 | + | 0.740855i | 0.977432 | − | 0.211251i | \(-0.0677537\pi\) |
0.305767 | + | 0.952106i | \(0.401087\pi\) | |||||||
\(744\) | −2.45928 | − | 13.4107i | −0.0901615 | − | 0.491661i | ||||
\(745\) | −46.0742 | + | 26.6009i | −1.68803 | + | 0.974583i | ||||
\(746\) | −9.65509 | + | 28.7245i | −0.353498 | + | 1.05168i | ||||
\(747\) | 8.77156 | + | 0.420353i | 0.320935 | + | 0.0153799i | ||||
\(748\) | −4.61397 | − | 33.4991i | −0.168703 | − | 1.22485i | ||||
\(749\) | 3.05964 | − | 11.4187i | 0.111797 | − | 0.417231i | ||||
\(750\) | −3.32896 | + | 6.40832i | −0.121556 | + | 0.233999i | ||||
\(751\) | 2.44188 | − | 4.22946i | 0.0891056 | − | 0.154335i | −0.818028 | − | 0.575179i | \(-0.804932\pi\) |
0.907133 | + | 0.420843i | \(0.138266\pi\) | |||||||
\(752\) | 14.3023 | + | 3.64973i | 0.521550 | + | 0.133092i | ||||
\(753\) | 40.6869 | − | 4.36842i | 1.48271 | − | 0.159194i | ||||
\(754\) | 13.4591 | − | 20.2738i | 0.490152 | − | 0.738328i | ||||
\(755\) | 11.0302 | + | 11.0302i | 0.401429 | + | 0.401429i | ||||
\(756\) | −11.2519 | + | 5.54317i | −0.409229 | + | 0.201603i | ||||
\(757\) | −20.1502 | + | 20.1502i | −0.732371 | + | 0.732371i | −0.971089 | − | 0.238718i | \(-0.923273\pi\) |
0.238718 | + | 0.971089i | \(0.423273\pi\) | |||||||
\(758\) | −0.0829649 | + | 0.0167605i | −0.00301342 | + | 0.000608768i | ||||
\(759\) | −4.07772 | − | 37.9794i | −0.148012 | − | 1.37857i | ||||
\(760\) | 17.0780 | + | 14.7084i | 0.619485 | + | 0.533531i | ||||
\(761\) | −16.9178 | − | 9.76748i | −0.613268 | − | 0.354071i | 0.160975 | − | 0.986958i | \(-0.448536\pi\) |
−0.774244 | + | 0.632888i | \(0.781869\pi\) | |||||||
\(762\) | −8.64778 | − | 27.3452i | −0.313276 | − | 0.990612i | ||||
\(763\) | −8.84210 | − | 2.36923i | −0.320105 | − | 0.0857720i | ||||
\(764\) | −5.44665 | + | 7.18669i | −0.197053 | + | 0.260005i | ||||
\(765\) | −25.6606 | + | 13.2197i | −0.927760 | + | 0.477958i | ||||
\(766\) | 17.3187 | − | 8.60502i | 0.625749 | − | 0.310912i | ||||
\(767\) | 12.7944 | + | 22.1606i | 0.461980 | + | 0.800172i | ||||
\(768\) | 16.8716 | − | 21.9852i | 0.608801 | − | 0.793323i | ||||
\(769\) | −14.3355 | + | 24.8299i | −0.516952 | + | 0.895388i | 0.482854 | + | 0.875701i | \(0.339600\pi\) |
−0.999806 | + | 0.0196866i | \(0.993733\pi\) | |||||||
\(770\) | −1.68851 | + | 26.9968i | −0.0608496 | + | 0.972899i | ||||
\(771\) | 23.4904 | − | 9.07747i | 0.845986 | − | 0.326917i | ||||
\(772\) | 38.2837 | + | 4.80769i | 1.37786 | + | 0.173033i | ||||
\(773\) | −33.6600 | + | 33.6600i | −1.21067 | + | 1.21067i | −0.239857 | + | 0.970808i | \(0.577101\pi\) |
−0.970808 | + | 0.239857i | \(0.922899\pi\) | |||||||
\(774\) | 2.84648 | − | 3.87183i | 0.102315 | − | 0.139170i | ||||
\(775\) | 11.1833i | 0.401716i | ||||||||
\(776\) | −16.3568 | + | 5.71631i | −0.587174 | + | 0.205204i | ||||
\(777\) | −12.1834 | + | 8.89349i | −0.437078 | + | 0.319052i | ||||
\(778\) | 13.3353 | + | 15.1147i | 0.478095 | + | 0.541889i | ||||
\(779\) | 7.87693 | + | 29.3971i | 0.282220 | + | 1.05326i | ||||
\(780\) | 21.1271 | − | 5.25599i | 0.756471 | − | 0.188195i | ||||
\(781\) | −17.6034 | + | 65.6969i | −0.629901 | + | 2.35082i | ||||
\(782\) | −8.42615 | − | 16.9587i | −0.301318 | − | 0.606441i | ||||
\(783\) | −31.9407 | − | 28.3737i | −1.14147 | − | 1.01399i | ||||
\(784\) | −5.99420 | − | 21.3473i | −0.214079 | − | 0.762402i | ||||
\(785\) | 15.9377 | + | 27.6049i | 0.568840 | + | 0.985260i | ||||
\(786\) | −11.7749 | − | 18.4479i | −0.419998 | − | 0.658015i | ||||
\(787\) | −27.3427 | + | 7.32646i | −0.974662 | + | 0.261160i | −0.710795 | − | 0.703399i | \(-0.751665\pi\) |
−0.263867 | + | 0.964559i | \(0.584998\pi\) | |||||||
\(788\) | −15.8139 | − | 6.43993i | −0.563346 | − | 0.229413i | ||||
\(789\) | −14.3746 | − | 2.24376i | −0.511749 | − | 0.0798800i | ||||
\(790\) | 7.60371 | − | 1.53609i | 0.270528 | − | 0.0546518i | ||||
\(791\) | − | 7.32616i | − | 0.260488i | ||||||
\(792\) | 43.5432 | + | 10.4379i | 1.54724 | + | 0.370896i | ||||
\(793\) | − | 16.0439i | − | 0.569737i | ||||||
\(794\) | −6.39704 | − | 31.6656i | −0.227023 | − | 1.12377i | ||||
\(795\) | 1.62790 | + | 4.21263i | 0.0577357 | + | 0.149407i | ||||
\(796\) | −16.2443 | + | 6.84258i | −0.575765 | + | 0.242529i | ||||
\(797\) | 35.6579 | − | 9.55450i | 1.26307 | − | 0.338438i | 0.435696 | − | 0.900094i | \(-0.356502\pi\) |
0.827371 | + | 0.561656i | \(0.189836\pi\) | |||||||
\(798\) | 0.348940 | + | 7.83730i | 0.0123524 | + | 0.277438i | ||||
\(799\) | 5.91169 | + | 10.2393i | 0.209140 | + | 0.362242i | ||||
\(800\) | −16.8643 | + | 15.2410i | −0.596242 | + | 0.538852i | ||||
\(801\) | −6.21400 | + | 1.34991i | −0.219561 | + | 0.0476969i | ||||
\(802\) | −4.97906 | + | 2.47391i | −0.175817 | + | 0.0873569i | ||||
\(803\) | 3.92807 | − | 14.6598i | 0.138619 | − | 0.517332i | ||||
\(804\) | −0.635762 | + | 35.3759i | −0.0224216 | + | 1.24761i | ||||
\(805\) | 3.92054 | + | 14.6317i | 0.138181 | + | 0.515698i | ||||
\(806\) | −6.17668 | + | 5.44952i | −0.217564 | + | 0.191951i | ||||
\(807\) | 0.950290 | + | 8.85089i | 0.0334518 | + | 0.311566i | ||||
\(808\) | 16.0476 | − | 33.2900i | 0.564554 | − | 1.17114i | ||||
\(809\) | 10.0300i | 0.352637i | 0.984333 | + | 0.176318i | \(0.0564189\pi\) | ||||
−0.984333 | + | 0.176318i | \(0.943581\pi\) | |||||||
\(810\) | −3.95144 | − | 38.0177i | −0.138840 | − | 1.33581i | ||||
\(811\) | 29.2218 | − | 29.2218i | 1.02612 | − | 1.02612i | 0.0264676 | − | 0.999650i | \(-0.491574\pi\) |
0.999650 | − | 0.0264676i | \(-0.00842587\pi\) | |||||||
\(812\) | −15.6738 | + | 12.1764i | −0.550042 | + | 0.427306i | ||||
\(813\) | 3.52703 | + | 2.84309i | 0.123698 | + | 0.0997115i | ||||
\(814\) | 53.7422 | + | 3.36129i | 1.88366 | + | 0.117813i | ||||
\(815\) | 5.57011 | − | 9.64772i | 0.195112 | − | 0.337945i | ||||
\(816\) | 22.0415 | − | 2.63322i | 0.771607 | − | 0.0921813i | ||||
\(817\) | −1.50280 | − | 2.60293i | −0.0525765 | − | 0.0910651i | ||||
\(818\) | 12.8955 | + | 25.9537i | 0.450879 | + | 0.907451i | ||||
\(819\) | 6.37371 | + | 4.09871i | 0.222716 | + | 0.143221i | ||||
\(820\) | −68.2415 | + | 9.39917i | −2.38309 | + | 0.328233i | ||||
\(821\) | −20.7288 | − | 5.55428i | −0.723442 | − | 0.193846i | −0.121735 | − | 0.992563i | \(-0.538846\pi\) |
−0.601707 | + | 0.798717i | \(0.705512\pi\) | |||||||
\(822\) | 2.75834 | + | 2.52319i | 0.0962083 | + | 0.0880065i | ||||
\(823\) | 6.52191 | + | 3.76543i | 0.227340 | + | 0.131255i | 0.609344 | − | 0.792906i | \(-0.291433\pi\) |
−0.382005 | + | 0.924160i | \(0.624766\pi\) | |||||||
\(824\) | −24.3746 | + | 28.3015i | −0.849131 | + | 0.985929i | ||||
\(825\) | −33.5853 | − | 14.8632i | −1.16929 | − | 0.517471i | ||||
\(826\) | −4.13278 | − | 20.4574i | −0.143798 | − | 0.711803i | ||||
\(827\) | −7.34158 | + | 7.34158i | −0.255292 | + | 0.255292i | −0.823136 | − | 0.567844i | \(-0.807778\pi\) |
0.567844 | + | 0.823136i | \(0.307778\pi\) | |||||||
\(828\) | 24.9758 | − | 2.22841i | 0.867970 | − | 0.0774427i | ||||
\(829\) | 19.0212 | + | 19.0212i | 0.660632 | + | 0.660632i | 0.955529 | − | 0.294897i | \(-0.0952852\pi\) |
−0.294897 | + | 0.955529i | \(0.595285\pi\) | |||||||
\(830\) | 10.3572 | + | 6.87579i | 0.359503 | + | 0.238662i | ||||
\(831\) | 10.9003 | + | 14.9326i | 0.378128 | + | 0.518008i | ||||
\(832\) | −16.6356 | − | 1.88754i | −0.576737 | − | 0.0654386i | ||||
\(833\) | 8.88034 | − | 15.3812i | 0.307686 | − | 0.532927i | ||||
\(834\) | 36.0335 | − | 22.9995i | 1.24774 | − | 0.796406i | ||||
\(835\) | 4.55396 | − | 16.9956i | 0.157596 | − | 0.588157i | ||||
\(836\) | 16.9155 | − | 22.3195i | 0.585036 | − | 0.771937i | ||||
\(837\) | 7.95746 | + | 12.0752i | 0.275050 | + | 0.417381i | ||||
\(838\) | −7.69394 | − | 2.58614i | −0.265783 | − | 0.0893367i | ||||
\(839\) | 36.1808 | − | 20.8890i | 1.24910 | − | 0.721168i | 0.278170 | − | 0.960532i | \(-0.410272\pi\) |
0.970930 | + | 0.239364i | \(0.0769388\pi\) | |||||||
\(840\) | −17.6994 | − | 1.42669i | −0.610688 | − | 0.0492256i | ||||
\(841\) | −33.4311 | − | 19.3015i | −1.15280 | − | 0.665568i | ||||
\(842\) | −36.1861 | − | 41.0146i | −1.24706 | − | 1.41346i | ||||
\(843\) | 12.2881 | + | 1.91807i | 0.423224 | + | 0.0660619i | ||||
\(844\) | −1.24030 | − | 1.59656i | −0.0426930 | − | 0.0549558i | ||||
\(845\) | 18.3048 | + | 18.3048i | 0.629704 | + | 0.629704i | ||||
\(846\) | −15.4768 | + | 2.36205i | −0.532102 | + | 0.0812090i | ||||
\(847\) | 20.3334 | 0.698665 | ||||||||
\(848\) | −0.0414891 | − | 3.47282i | −0.00142474 | − | 0.119257i | ||||
\(849\) | 10.1218 | − | 22.8714i | 0.347378 | − | 0.784944i | ||||
\(850\) | −18.1721 | − | 1.13657i | −0.623299 | − | 0.0389840i | ||||
\(851\) | 29.1270 | − | 7.80455i | 0.998460 | − | 0.267537i | ||||
\(852\) | −42.9124 | − | 12.3289i | −1.47015 | − | 0.422382i | ||||
\(853\) | −32.7222 | − | 8.76788i | −1.12039 | − | 0.300207i | −0.349347 | − | 0.936994i | \(-0.613596\pi\) |
−0.771040 | + | 0.636787i | \(0.780263\pi\) | |||||||
\(854\) | −4.16923 | + | 12.4037i | −0.142668 | + | 0.424447i | ||||
\(855\) | −22.7688 | − | 7.28556i | −0.778676 | − | 0.249161i | ||||
\(856\) | −15.5965 | − | 22.8951i | −0.533078 | − | 0.782538i | ||||
\(857\) | −11.2530 | + | 6.49690i | −0.384394 | + | 0.221930i | −0.679728 | − | 0.733464i | \(-0.737902\pi\) |
0.295334 | + | 0.955394i | \(0.404569\pi\) | |||||||
\(858\) | −8.15669 | − | 25.7923i | −0.278465 | − | 0.880535i | ||||
\(859\) | −8.43410 | − | 31.4765i | −0.287768 | − | 1.07396i | −0.946793 | − | 0.321843i | \(-0.895698\pi\) |
0.659025 | − | 0.752121i | \(-0.270969\pi\) | |||||||
\(860\) | 6.26949 | − | 2.64089i | 0.213788 | − | 0.0900537i | ||||
\(861\) | −18.6673 | − | 15.0475i | −0.636181 | − | 0.512817i | ||||
\(862\) | −34.2191 | − | 22.7169i | −1.16551 | − | 0.773742i | ||||
\(863\) | −21.7785 | −0.741348 | −0.370674 | − | 0.928763i | \(-0.620873\pi\) | ||||
−0.370674 | + | 0.928763i | \(0.620873\pi\) | |||||||
\(864\) | −7.36454 | + | 28.4563i | −0.250547 | + | 0.968104i | ||||
\(865\) | 2.23823 | 0.0761022 | ||||||||
\(866\) | −33.4615 | − | 22.2140i | −1.13707 | − | 0.754862i | ||||
\(867\) | −9.08093 | − | 7.32002i | −0.308405 | − | 0.248601i | ||||
\(868\) | 6.19138 | − | 2.60799i | 0.210149 | − | 0.0885209i | ||||
\(869\) | −2.49469 | − | 9.31032i | −0.0846267 | − | 0.315831i | ||||
\(870\) | −18.2367 | − | 57.6663i | −0.618281 | − | 1.95507i | ||||
\(871\) | 18.5116 | − | 10.6877i | 0.627243 | − | 0.362139i | ||||
\(872\) | −17.7288 | + | 12.0772i | −0.600374 | + | 0.408985i | ||||
\(873\) | 13.6023 | − | 12.3582i | 0.460368 | − | 0.418262i | ||||
\(874\) | 4.99676 | − | 14.8657i | 0.169018 | − | 0.502839i | ||||
\(875\) | −3.43706 | − | 0.920957i | −0.116194 | − | 0.0311340i | ||||
\(876\) | 9.57557 | + | 2.75110i | 0.323529 | + | 0.0929511i | ||||
\(877\) | 4.77106 | − | 1.27840i | 0.161107 | − | 0.0431685i | −0.177364 | − | 0.984145i | \(-0.556757\pi\) |
0.338471 | + | 0.940977i | \(0.390090\pi\) | |||||||
\(878\) | 3.87175 | + | 0.242157i | 0.130665 | + | 0.00817241i | ||||
\(879\) | −17.6669 | + | 39.9206i | −0.595890 | + | 1.34649i | ||||
\(880\) | 45.3545 | + | 44.2836i | 1.52890 | + | 1.49280i | ||||
\(881\) | −1.82954 | −0.0616389 | −0.0308194 | − | 0.999525i | \(-0.509812\pi\) | ||||
−0.0308194 | + | 0.999525i | \(0.509812\pi\) | |||||||
\(882\) | 14.6972 | + | 18.3598i | 0.494879 | + | 0.618208i | ||||
\(883\) | −37.7173 | − | 37.7173i | −1.26929 | − | 1.26929i | −0.946456 | − | 0.322834i | \(-0.895365\pi\) |
−0.322834 | − | 0.946456i | \(-0.604635\pi\) | |||||||
\(884\) | −8.22738 | − | 10.5905i | −0.276717 | − | 0.356199i | ||||
\(885\) | 62.8375 | + | 9.80843i | 2.11226 | + | 0.329707i | ||||
\(886\) | −6.61741 | − | 7.50040i | −0.222316 | − | 0.251981i | ||||
\(887\) | 23.5347 | + | 13.5877i | 0.790217 | + | 0.456232i | 0.840039 | − | 0.542526i | \(-0.182532\pi\) |
−0.0498220 | + | 0.998758i | \(0.515865\pi\) | |||||||
\(888\) | −2.84009 | + | 35.2339i | −0.0953073 | + | 1.18237i | ||||
\(889\) | 12.2386 | − | 7.06596i | 0.410469 | − | 0.236985i | ||||
\(890\) | −8.53289 | − | 2.86814i | −0.286023 | − | 0.0961401i | ||||
\(891\) | −46.8398 | + | 7.84899i | −1.56919 | + | 0.262951i | ||||
\(892\) | 10.7387 | − | 14.1694i | 0.359559 | − | 0.474428i | ||||
\(893\) | −2.53433 | + | 9.45826i | −0.0848082 | + | 0.316509i | ||||
\(894\) | −36.5790 | + | 23.3476i | −1.22338 | + | 0.780862i | ||||
\(895\) | −0.243906 | + | 0.422458i | −0.00815288 | + | 0.0141212i | ||||
\(896\) | 12.3707 | + | 5.78226i | 0.413275 | + | 0.193172i | ||||
\(897\) | −8.93163 | − | 12.2357i | −0.298218 | − | 0.408537i | ||||
\(898\) | −2.68278 | − | 1.78101i | −0.0895254 | − | 0.0594330i | ||||
\(899\) | 16.1807 | + | 16.1807i | 0.539655 | + | 0.539655i | ||||
\(900\) | 10.1516 | − | 21.8683i | 0.338387 | − | 0.728945i | ||||
\(901\) | 1.96714 | − | 1.96714i | 0.0655350 | − | 0.0655350i | ||||
\(902\) | 16.9490 | + | 83.8981i | 0.564341 | + | 2.79350i | ||||
\(903\) | 2.16535 | + | 0.958277i | 0.0720583 | + | 0.0318895i | ||||
\(904\) | −13.0086 | − | 11.2037i | −0.432660 | − | 0.372628i | ||||
\(905\) | 28.9128 | + | 16.6928i | 0.961095 | + | 0.554889i | ||||
\(906\) | 9.38823 | + | 8.58788i | 0.311903 | + | 0.285313i | ||||
\(907\) | 30.2938 | + | 8.11719i | 1.00589 | + | 0.269527i | 0.723911 | − | 0.689894i | \(-0.242343\pi\) |
0.281978 | + | 0.959421i | \(0.409009\pi\) | |||||||
\(908\) | 44.6012 | − | 6.14310i | 1.48014 | − | 0.203866i | ||||
\(909\) | −1.87629 | + | 39.1529i | −0.0622328 | + | 1.29862i | ||||
\(910\) | 4.77340 | + | 9.60705i | 0.158237 | + | 0.318471i | ||||
\(911\) | 20.6608 | + | 35.7856i | 0.684524 | + | 1.18563i | 0.973586 | + | 0.228320i | \(0.0733232\pi\) |
−0.289062 | + | 0.957310i | \(0.593343\pi\) | |||||||
\(912\) | 14.4498 | + | 11.3657i | 0.478482 | + | 0.376357i | ||||
\(913\) | 7.72343 | − | 13.3774i | 0.255608 | − | 0.442727i | ||||
\(914\) | −35.4543 | − | 2.21747i | −1.17272 | − | 0.0733475i | ||||
\(915\) | −31.0452 | − | 25.0251i | −1.02632 | − | 0.827304i | ||||
\(916\) | 21.9032 | − | 17.0157i | 0.723701 | − | 0.562215i | ||||
\(917\) | 7.62540 | − | 7.62540i | 0.251813 | − | 0.251813i | ||||
\(918\) | −20.4302 | + | 11.7032i | −0.674297 | + | 0.386262i | ||||
\(919\) | − | 2.92729i | − | 0.0965624i | −0.998834 | − | 0.0482812i | \(-0.984626\pi\) | ||
0.998834 | − | 0.0482812i | \(-0.0153744\pi\) | |||||||
\(920\) | 31.9761 | + | 15.4143i | 1.05422 | + | 0.508193i | ||||
\(921\) | 0.935347 | + | 8.71171i | 0.0308207 | + | 0.287061i | ||||
\(922\) | −23.5185 | + | 20.7498i | −0.774542 | + | 0.683358i | ||||
\(923\) | 6.98133 | + | 26.0547i | 0.229793 | + | 0.857600i | ||||
\(924\) | −0.396452 | + | 22.0599i | −0.0130423 | + | 0.725719i | ||||
\(925\) | 7.50411 | − | 28.0057i | 0.246734 | − | 0.920822i | ||||
\(926\) | −49.5067 | + | 24.5981i | −1.62689 | + | 0.808343i | ||||
\(927\) | 12.0735 | − | 37.7321i | 0.396547 | − | 1.23929i | ||||
\(928\) | −2.34861 | + | 46.4519i | −0.0770969 | + | 1.52486i | ||||
\(929\) | −27.6953 | − | 47.9696i | −0.908652 | − | 1.57383i | −0.815938 | − | 0.578139i | \(-0.803779\pi\) |
−0.0927142 | − | 0.995693i | \(-0.529554\pi\) | |||||||
\(930\) | 0.910585 | + | 20.4520i | 0.0298593 | + | 0.670648i | ||||
\(931\) | 14.2079 | − | 3.80699i | 0.465645 | − | 0.124769i | ||||
\(932\) | 12.3505 | − | 5.20240i | 0.404555 | − | 0.170410i | ||||
\(933\) | 2.67897 | + | 6.93256i | 0.0877055 | + | 0.226962i | ||||
\(934\) | −1.76737 | − | 8.74855i | −0.0578302 | − | 0.286261i | ||||
\(935\) | 50.7746i | 1.66051i | ||||||||
\(936\) | 17.0249 | − | 5.04939i | 0.556478 | − | 0.165045i | ||||
\(937\) | − | 6.46687i | − | 0.211263i | −0.994405 | − | 0.105632i | \(-0.966314\pi\) | ||
0.994405 | − | 0.105632i | \(-0.0336864\pi\) | |||||||
\(938\) | −17.0889 | + | 3.45228i | −0.557972 | + | 0.112721i | ||||
\(939\) | −17.1535 | − | 2.67753i | −0.559784 | − | 0.0873778i | ||||
\(940\) | −20.5266 | − | 8.35910i | −0.669503 | − | 0.272644i | ||||
\(941\) | −30.4083 | + | 8.14789i | −0.991283 | + | 0.265614i | −0.717790 | − | 0.696260i | \(-0.754846\pi\) |
−0.273494 | + | 0.961874i | \(0.588179\pi\) | |||||||
\(942\) | 13.9885 | + | 21.9159i | 0.455770 | + | 0.714059i | ||||
\(943\) | 23.9661 | + | 41.5105i | 0.780443 | + | 1.35177i | ||||
\(944\) | −42.6450 | − | 23.9465i | −1.38798 | − | 0.779392i | ||||
\(945\) | 17.8727 | − | 5.94009i | 0.581398 | − | 0.193231i | ||||
\(946\) | −3.76129 | − | 7.57005i | −0.122290 | − | 0.246124i | ||||
\(947\) | −0.501815 | + | 1.87280i | −0.0163068 | + | 0.0608578i | −0.973600 | − | 0.228262i | \(-0.926696\pi\) |
0.957293 | + | 0.289120i | \(0.0933625\pi\) | |||||||
\(948\) | 6.14024 | − | 1.52757i | 0.199426 | − | 0.0496130i | ||||
\(949\) | −1.55783 | − | 5.81390i | −0.0505693 | − | 0.188727i | ||||
\(950\) | −9.97626 | − | 11.3074i | −0.323673 | − | 0.366862i | ||||
\(951\) | −38.6157 | + | 28.1882i | −1.25220 | + | 0.914063i | ||||
\(952\) | 3.60858 | + | 10.3257i | 0.116955 | + | 0.334656i | ||||
\(953\) | − | 10.9796i | − | 0.355665i | −0.984061 | − | 0.177832i | \(-0.943092\pi\) | ||
0.984061 | − | 0.177832i | \(-0.0569085\pi\) | |||||||
\(954\) | 1.47935 | + | 3.37365i | 0.0478956 | + | 0.109226i | ||||
\(955\) | 9.57418 | − | 9.57418i | 0.309813 | − | 0.309813i | ||||
\(956\) | 4.14660 | + | 0.520732i | 0.134110 | + | 0.0168417i | ||||
\(957\) | −70.0983 | + | 27.0883i | −2.26596 | + | 0.875640i | ||||
\(958\) | 0.495141 | − | 7.91660i | 0.0159973 | − | 0.255774i | ||||
\(959\) | −0.921016 | + | 1.59525i | −0.0297412 | + | 0.0515132i | ||||
\(960\) | −29.6004 | + | 29.2460i | −0.955350 | + | 0.943909i | ||||
\(961\) | 11.6272 | + | 20.1389i | 0.375070 | + | 0.649641i | ||||
\(962\) | 19.1246 | − | 9.50232i | 0.616602 | − | 0.306367i | ||||
\(963\) | 24.7141 | + | 15.8928i | 0.796400 | + | 0.512137i | ||||
\(964\) | −10.4195 | + | 13.7483i | −0.335590 | + | 0.442801i | ||||
\(965\) | −55.9613 | − | 14.9948i | −1.80146 | − | 0.482699i | ||||
\(966\) | 3.72553 | + | 11.7805i | 0.119867 | + | 0.379032i | ||||
\(967\) | 6.19539 | + | 3.57691i | 0.199230 | + | 0.115026i | 0.596296 | − | 0.802764i | \(-0.296638\pi\) |
−0.397066 | + | 0.917790i | \(0.629972\pi\) | |||||||
\(968\) | 31.0953 | − | 36.1048i | 0.999440 | − | 1.16045i | ||||
\(969\) | 1.57204 | + | 14.6418i | 0.0505011 | + | 0.470361i | ||||
\(970\) | 25.5015 | − | 5.15179i | 0.818804 | − | 0.165414i | ||||
\(971\) | 40.8697 | − | 40.8697i | 1.31157 | − | 1.31157i | 0.391312 | − | 0.920258i | \(-0.372021\pi\) |
0.920258 | − | 0.391312i | \(-0.127979\pi\) | |||||||
\(972\) | −4.59916 | − | 30.8358i | −0.147518 | − | 0.989059i | ||||
\(973\) | 14.8944 | + | 14.8944i | 0.477491 | + | 0.477491i | ||||
\(974\) | 26.6744 | − | 40.1803i | 0.854702 | − | 1.28746i | ||||
\(975\) | −14.4824 | + | 1.55492i | −0.463807 | + | 0.0497974i | ||||
\(976\) | 15.6487 | + | 26.3717i | 0.500902 | + | 0.844137i | ||||
\(977\) | −24.1070 | + | 41.7545i | −0.771250 | + | 1.33584i | 0.165629 | + | 0.986188i | \(0.447035\pi\) |
−0.936878 | + | 0.349655i | \(0.886299\pi\) | |||||||
\(978\) | 4.18885 | − | 8.06363i | 0.133945 | − | 0.257846i | ||||
\(979\) | −2.89498 | + | 10.8042i | −0.0925240 | + | 0.345304i | ||||
\(980\) | 4.54270 | + | 32.9817i | 0.145111 | + | 1.05356i | ||||
\(981\) | 12.3066 | − | 19.1374i | 0.392919 | − | 0.611010i | ||||
\(982\) | 6.81000 | − | 20.2602i | 0.217316 | − | 0.646529i | ||||
\(983\) | −0.339797 | + | 0.196182i | −0.0108378 | + | 0.00625722i | −0.505409 | − | 0.862880i | \(-0.668658\pi\) |
0.494571 | + | 0.869137i | \(0.335325\pi\) | |||||||
\(984\) | −55.2663 | + | 10.1348i | −1.76183 | + | 0.323086i | ||||
\(985\) | 22.2034 | + | 12.8192i | 0.707460 | + | 0.408452i | ||||
\(986\) | −27.9370 | + | 24.6481i | −0.889696 | + | 0.784955i | ||||
\(987\) | −2.78070 | − | 7.19580i | −0.0885105 | − | 0.229045i | ||||
\(988\) | 1.38390 | − | 11.0200i | 0.0440278 | − | 0.350594i | ||||
\(989\) | −3.34722 | − | 3.34722i | −0.106435 | − | 0.106435i | ||||
\(990\) | −62.6311 | − | 24.4472i | −1.99055 | − | 0.776984i | ||||
\(991\) | 1.35162 | 0.0429357 | 0.0214678 | − | 0.999770i | \(-0.493166\pi\) | ||||
0.0214678 | + | 0.999770i | \(0.493166\pi\) | |||||||
\(992\) | 4.83743 | − | 14.9820i | 0.153589 | − | 0.475678i | ||||
\(993\) | 4.88197 | + | 6.68793i | 0.154924 | + | 0.212235i | ||||
\(994\) | 1.37331 | − | 21.9573i | 0.0435589 | − | 0.696444i | ||||
\(995\) | 25.5650 | − | 6.85012i | 0.810465 | − | 0.217163i | ||||
\(996\) | 8.68911 | + | 5.22705i | 0.275325 | + | 0.165626i | ||||
\(997\) | 13.7329 | + | 3.67972i | 0.434926 | + | 0.116538i | 0.469637 | − | 0.882859i | \(-0.344385\pi\) |
−0.0347118 | + | 0.999397i | \(0.511051\pi\) | |||||||
\(998\) | 12.2857 | + | 4.12957i | 0.388898 | + | 0.130719i | ||||
\(999\) | −11.8248 | − | 35.5788i | −0.374122 | − | 1.12566i |
(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 | 144.2.x.e.13.3 | ✓ | 72 | |
3.2 | odd | 2 | 432.2.y.e.253.16 | 72 | |||
4.3 | odd | 2 | 576.2.bb.e.337.5 | 72 | |||
9.2 | odd | 6 | 432.2.y.e.397.9 | 72 | |||
9.7 | even | 3 | inner | 144.2.x.e.61.10 | yes | 72 | |
12.11 | even | 2 | 1728.2.bc.e.145.15 | 72 | |||
16.5 | even | 4 | inner | 144.2.x.e.85.10 | yes | 72 | |
16.11 | odd | 4 | 576.2.bb.e.49.5 | 72 | |||
36.7 | odd | 6 | 576.2.bb.e.529.5 | 72 | |||
36.11 | even | 6 | 1728.2.bc.e.721.4 | 72 | |||
48.5 | odd | 4 | 432.2.y.e.37.9 | 72 | |||
48.11 | even | 4 | 1728.2.bc.e.1009.4 | 72 | |||
144.11 | even | 12 | 1728.2.bc.e.1585.15 | 72 | |||
144.43 | odd | 12 | 576.2.bb.e.241.5 | 72 | |||
144.101 | odd | 12 | 432.2.y.e.181.16 | 72 | |||
144.133 | even | 12 | inner | 144.2.x.e.133.3 | yes | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
144.2.x.e.13.3 | ✓ | 72 | 1.1 | even | 1 | trivial | |
144.2.x.e.61.10 | yes | 72 | 9.7 | even | 3 | inner | |
144.2.x.e.85.10 | yes | 72 | 16.5 | even | 4 | inner | |
144.2.x.e.133.3 | yes | 72 | 144.133 | even | 12 | inner | |
432.2.y.e.37.9 | 72 | 48.5 | odd | 4 | |||
432.2.y.e.181.16 | 72 | 144.101 | odd | 12 | |||
432.2.y.e.253.16 | 72 | 3.2 | odd | 2 | |||
432.2.y.e.397.9 | 72 | 9.2 | odd | 6 | |||
576.2.bb.e.49.5 | 72 | 16.11 | odd | 4 | |||
576.2.bb.e.241.5 | 72 | 144.43 | odd | 12 | |||
576.2.bb.e.337.5 | 72 | 4.3 | odd | 2 | |||
576.2.bb.e.529.5 | 72 | 36.7 | odd | 6 | |||
1728.2.bc.e.145.15 | 72 | 12.11 | even | 2 | |||
1728.2.bc.e.721.4 | 72 | 36.11 | even | 6 | |||
1728.2.bc.e.1009.4 | 72 | 48.11 | even | 4 | |||
1728.2.bc.e.1585.15 | 72 | 144.11 | even | 12 |