Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [605,2,Mod(112,605)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(605, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([5, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("605.112");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 605 = 5 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 605.m (of order \(20\), degree \(8\), not 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: | \(4.83094932229\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{20})\) |
Twist minimal: | no (minimal twist has level 55) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 233.2 | ||
Character | \(\chi\) | \(=\) | 605.233 |
Dual form | 605.2.m.d.457.2 |
$q$-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 \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).
\(n\) | \(122\) | \(486\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{1}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.435114 | + | 0.221702i | −0.307672 | + | 0.156767i | −0.601009 | − | 0.799243i | \(-0.705234\pi\) |
0.293337 | + | 0.956009i | \(0.405234\pi\) | |||||||
\(3\) | 1.12533 | + | 0.178235i | 0.649712 | + | 0.102904i | 0.472587 | − | 0.881284i | \(-0.343320\pi\) |
0.177125 | + | 0.984188i | \(0.443320\pi\) | |||||||
\(4\) | −1.03540 | + | 1.42510i | −0.517699 | + | 0.712552i | ||||
\(5\) | −1.14075 | − | 1.92320i | −0.510160 | − | 0.860079i | ||||
\(6\) | −0.529164 | + | 0.171936i | −0.216030 | + | 0.0701924i | ||||
\(7\) | 0.456227 | + | 2.88051i | 0.172438 | + | 1.08873i | 0.910352 | + | 0.413835i | \(0.135811\pi\) |
−0.737914 | + | 0.674894i | \(0.764189\pi\) | |||||||
\(8\) | 0.287355 | − | 1.81429i | 0.101595 | − | 0.641447i | ||||
\(9\) | −1.61856 | − | 0.525902i | −0.539520 | − | 0.175301i | ||||
\(10\) | 0.922733 | + | 0.583903i | 0.291794 | + | 0.184646i | ||||
\(11\) | 0 | 0 | ||||||||
\(12\) | −1.41917 | + | 1.41917i | −0.409680 | + | 0.409680i | ||||
\(13\) | 1.32861 | + | 2.60754i | 0.368490 | + | 0.723203i | 0.998577 | − | 0.0533216i | \(-0.0169808\pi\) |
−0.630087 | + | 0.776524i | \(0.716981\pi\) | |||||||
\(14\) | −0.837124 | − | 1.15220i | −0.223731 | − | 0.307939i | ||||
\(15\) | −0.940946 | − | 2.36756i | −0.242951 | − | 0.611302i | ||||
\(16\) | −0.811484 | − | 2.49749i | −0.202871 | − | 0.624373i | ||||
\(17\) | −2.39167 | + | 4.69392i | −0.580065 | + | 1.13844i | 0.395446 | + | 0.918489i | \(0.370590\pi\) |
−0.975511 | + | 0.219952i | \(0.929410\pi\) | |||||||
\(18\) | 0.820851 | − | 0.130010i | 0.193476 | − | 0.0306437i | ||||
\(19\) | −3.31646 | + | 2.40955i | −0.760847 | + | 0.552788i | −0.899170 | − | 0.437599i | \(-0.855829\pi\) |
0.138323 | + | 0.990387i | \(0.455829\pi\) | |||||||
\(20\) | 3.92189 | + | 0.365584i | 0.876960 | + | 0.0817470i | ||||
\(21\) | 3.32285i | 0.725105i | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −2.12046 | − | 2.12046i | −0.442147 | − | 0.442147i | 0.450586 | − | 0.892733i | \(-0.351215\pi\) |
−0.892733 | + | 0.450586i | \(0.851215\pi\) | |||||||
\(24\) | 0.646740 | − | 1.99046i | 0.132015 | − | 0.406301i | ||||
\(25\) | −2.39737 | + | 4.38778i | −0.479473 | + | 0.877556i | ||||
\(26\) | −1.15619 | − | 0.840024i | −0.226748 | − | 0.164742i | ||||
\(27\) | −4.77322 | − | 2.43208i | −0.918607 | − | 0.468054i | ||||
\(28\) | −4.57740 | − | 2.33230i | −0.865047 | − | 0.440763i | ||||
\(29\) | −2.13957 | − | 1.55449i | −0.397307 | − | 0.288661i | 0.371136 | − | 0.928579i | \(-0.378968\pi\) |
−0.768443 | + | 0.639918i | \(0.778968\pi\) | |||||||
\(30\) | 0.934311 | + | 0.821549i | 0.170581 | + | 0.149994i | ||||
\(31\) | −2.08297 | + | 6.41071i | −0.374112 | + | 1.15140i | 0.569964 | + | 0.821670i | \(0.306957\pi\) |
−0.944076 | + | 0.329728i | \(0.893043\pi\) | |||||||
\(32\) | 3.50456 | + | 3.50456i | 0.619524 | + | 0.619524i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | − | 2.57262i | − | 0.441201i | ||||||
\(35\) | 5.01934 | − | 4.16336i | 0.848423 | − | 0.703736i | ||||
\(36\) | 2.42532 | − | 1.76210i | 0.404220 | − | 0.293683i | ||||
\(37\) | −1.14895 | + | 0.181976i | −0.188887 | + | 0.0299167i | −0.250161 | − | 0.968204i | \(-0.580484\pi\) |
0.0612742 | + | 0.998121i | \(0.480484\pi\) | |||||||
\(38\) | 0.908835 | − | 1.78369i | 0.147433 | − | 0.289353i | ||||
\(39\) | 1.03037 | + | 3.17117i | 0.164992 | + | 0.507793i | ||||
\(40\) | −3.81703 | + | 1.51701i | −0.603525 | + | 0.239861i | ||||
\(41\) | −2.08980 | − | 2.87636i | −0.326372 | − | 0.449212i | 0.614028 | − | 0.789285i | \(-0.289548\pi\) |
−0.940399 | + | 0.340073i | \(0.889548\pi\) | |||||||
\(42\) | −0.736681 | − | 1.44582i | −0.113672 | − | 0.223094i | ||||
\(43\) | −5.07292 | + | 5.07292i | −0.773613 | + | 0.773613i | −0.978736 | − | 0.205123i | \(-0.934241\pi\) |
0.205123 | + | 0.978736i | \(0.434241\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0.834964 | + | 3.71273i | 0.124469 | + | 0.553461i | ||||
\(46\) | 1.39275 | + | 0.452533i | 0.205350 | + | 0.0667224i | ||||
\(47\) | 0.575943 | − | 3.63636i | 0.0840099 | − | 0.530417i | −0.909411 | − | 0.415898i | \(-0.863467\pi\) |
0.993421 | − | 0.114519i | \(-0.0365328\pi\) | |||||||
\(48\) | −0.468049 | − | 2.95515i | −0.0675571 | − | 0.426539i | ||||
\(49\) | −1.43178 | + | 0.465213i | −0.204540 | + | 0.0664590i | ||||
\(50\) | 0.0703494 | − | 2.44068i | 0.00994891 | − | 0.345165i | ||||
\(51\) | −3.52805 | + | 4.85594i | −0.494026 | + | 0.679968i | ||||
\(52\) | −5.09166 | − | 0.806440i | −0.706086 | − | 0.111833i | ||||
\(53\) | 1.31668 | − | 0.670880i | 0.180859 | − | 0.0921524i | −0.361217 | − | 0.932482i | \(-0.617639\pi\) |
0.542076 | + | 0.840330i | \(0.317639\pi\) | |||||||
\(54\) | 2.61609 | 0.356005 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 5.35716 | 0.715881 | ||||||||
\(57\) | −4.16159 | + | 2.12044i | −0.551216 | + | 0.280859i | ||||
\(58\) | 1.27559 | + | 0.202033i | 0.167493 | + | 0.0265282i | ||||
\(59\) | −0.943564 | + | 1.29870i | −0.122842 | + | 0.169077i | −0.866009 | − | 0.500029i | \(-0.833323\pi\) |
0.743167 | + | 0.669106i | \(0.233323\pi\) | |||||||
\(60\) | 4.34827 | + | 1.11042i | 0.561360 | + | 0.143355i | ||||
\(61\) | 6.59851 | − | 2.14398i | 0.844852 | − | 0.274509i | 0.145564 | − | 0.989349i | \(-0.453500\pi\) |
0.699288 | + | 0.714840i | \(0.253500\pi\) | |||||||
\(62\) | −0.514937 | − | 3.25119i | −0.0653971 | − | 0.412901i | ||||
\(63\) | 0.776433 | − | 4.90220i | 0.0978213 | − | 0.617619i | ||||
\(64\) | 2.69314 | + | 0.875053i | 0.336642 | + | 0.109382i | ||||
\(65\) | 3.49920 | − | 5.52974i | 0.434023 | − | 0.685880i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 1.31471 | − | 1.31471i | 0.160617 | − | 0.160617i | −0.622223 | − | 0.782840i | \(-0.713770\pi\) |
0.782840 | + | 0.622223i | \(0.213770\pi\) | |||||||
\(68\) | −4.21298 | − | 8.26845i | −0.510899 | − | 1.00270i | ||||
\(69\) | −2.00829 | − | 2.76417i | −0.241770 | − | 0.332767i | ||||
\(70\) | −1.26096 | + | 2.92433i | −0.150713 | + | 0.349524i | ||||
\(71\) | 0.887847 | + | 2.73251i | 0.105368 | + | 0.324289i | 0.989817 | − | 0.142348i | \(-0.0454653\pi\) |
−0.884449 | + | 0.466638i | \(0.845465\pi\) | |||||||
\(72\) | −1.41924 | + | 2.78541i | −0.167259 | + | 0.328264i | ||||
\(73\) | 14.6197 | − | 2.31553i | 1.71110 | − | 0.271012i | 0.777385 | − | 0.629025i | \(-0.216546\pi\) |
0.933716 | + | 0.358013i | \(0.116546\pi\) | |||||||
\(74\) | 0.459581 | − | 0.333905i | 0.0534252 | − | 0.0388157i | ||||
\(75\) | −3.47990 | + | 4.51043i | −0.401824 | + | 0.520819i | ||||
\(76\) | − | 7.22113i | − | 0.828321i | ||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −1.15138 | − | 1.15138i | −0.130368 | − | 0.130368i | ||||
\(79\) | −4.71123 | + | 14.4997i | −0.530055 | + | 1.63134i | 0.224043 | + | 0.974579i | \(0.428074\pi\) |
−0.754098 | + | 0.656762i | \(0.771926\pi\) | |||||||
\(80\) | −3.87746 | + | 4.40966i | −0.433513 | + | 0.493015i | ||||
\(81\) | −0.807503 | − | 0.586685i | −0.0897226 | − | 0.0651873i | ||||
\(82\) | 1.54699 | + | 0.788233i | 0.170837 | + | 0.0870457i | ||||
\(83\) | −5.95431 | − | 3.03387i | −0.653571 | − | 0.333011i | 0.0955691 | − | 0.995423i | \(-0.469533\pi\) |
−0.749140 | + | 0.662412i | \(0.769533\pi\) | |||||||
\(84\) | −4.73540 | − | 3.44047i | −0.516675 | − | 0.375386i | ||||
\(85\) | 11.7556 | − | 0.754947i | 1.27508 | − | 0.0818855i | ||||
\(86\) | 1.08262 | − | 3.33197i | 0.116742 | − | 0.359296i | ||||
\(87\) | −2.13066 | − | 2.13066i | −0.228431 | − | 0.228431i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 11.1726i | 1.18429i | 0.805830 | + | 0.592147i | \(0.201719\pi\) | ||||
−0.805830 | + | 0.592147i | \(0.798281\pi\) | |||||||
\(90\) | −1.18642 | − | 1.43035i | −0.125060 | − | 0.150772i | ||||
\(91\) | −6.90490 | + | 5.01670i | −0.723830 | + | 0.525894i | ||||
\(92\) | 5.21741 | − | 0.826356i | 0.543952 | − | 0.0861536i | ||||
\(93\) | −3.48665 | + | 6.84294i | −0.361549 | + | 0.709580i | ||||
\(94\) | 0.555586 | + | 1.70992i | 0.0573043 | + | 0.176364i | ||||
\(95\) | 8.41729 | + | 3.62950i | 0.863595 | + | 0.372379i | ||||
\(96\) | 3.31916 | + | 4.56843i | 0.338761 | + | 0.466264i | ||||
\(97\) | −4.57097 | − | 8.97103i | −0.464112 | − | 0.910871i | −0.997870 | − | 0.0652335i | \(-0.979221\pi\) |
0.533758 | − | 0.845637i | \(-0.320779\pi\) | |||||||
\(98\) | 0.519848 | − | 0.519848i | 0.0525126 | − | 0.0525126i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −3.77081 | − | 7.95960i | −0.377081 | − | 0.795960i | ||||
\(101\) | 1.81570 | + | 0.589955i | 0.180668 | + | 0.0587027i | 0.397954 | − | 0.917405i | \(-0.369720\pi\) |
−0.217286 | + | 0.976108i | \(0.569720\pi\) | |||||||
\(102\) | 0.458533 | − | 2.89506i | 0.0454015 | − | 0.286654i | ||||
\(103\) | 0.965408 | + | 6.09534i | 0.0951244 | + | 0.600592i | 0.988493 | + | 0.151267i | \(0.0483354\pi\) |
−0.893368 | + | 0.449325i | \(0.851665\pi\) | |||||||
\(104\) | 5.11261 | − | 1.66119i | 0.501333 | − | 0.162893i | ||||
\(105\) | 6.39049 | − | 3.79055i | 0.623648 | − | 0.369920i | ||||
\(106\) | −0.424169 | + | 0.583818i | −0.0411989 | + | 0.0567054i | ||||
\(107\) | 0.430167 | + | 0.0681317i | 0.0415858 | + | 0.00658654i | 0.177193 | − | 0.984176i | \(-0.443298\pi\) |
−0.135607 | + | 0.990763i | \(0.543298\pi\) | |||||||
\(108\) | 8.40815 | − | 4.28417i | 0.809075 | − | 0.412244i | ||||
\(109\) | −9.46672 | −0.906748 | −0.453374 | − | 0.891320i | \(-0.649780\pi\) | ||||
−0.453374 | + | 0.891320i | \(0.649780\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −1.32539 | −0.125801 | ||||||||
\(112\) | 6.82382 | − | 3.47691i | 0.644790 | − | 0.328537i | ||||
\(113\) | 20.0170 | + | 3.17038i | 1.88304 | + | 0.298244i | 0.988789 | − | 0.149322i | \(-0.0477090\pi\) |
0.894251 | + | 0.447566i | \(0.147709\pi\) | |||||||
\(114\) | 1.34066 | − | 1.84526i | 0.125564 | − | 0.172825i | ||||
\(115\) | −1.65914 | + | 6.49700i | −0.154716 | + | 0.605848i | ||||
\(116\) | 4.43060 | − | 1.43959i | 0.411371 | − | 0.133663i | ||||
\(117\) | −0.779122 | − | 4.91919i | −0.0720299 | − | 0.454779i | ||||
\(118\) | 0.122633 | − | 0.774274i | 0.0112893 | − | 0.0712777i | ||||
\(119\) | −14.6120 | − | 4.74773i | −1.33948 | − | 0.435223i | ||||
\(120\) | −4.56582 | + | 1.02682i | −0.416800 | + | 0.0937351i | ||||
\(121\) | 0 | 0 | ||||||||
\(122\) | −2.39578 | + | 2.39578i | −0.216903 | + | 0.216903i | ||||
\(123\) | −1.83905 | − | 3.60934i | −0.165822 | − | 0.325444i | ||||
\(124\) | −6.97923 | − | 9.60608i | −0.626753 | − | 0.862652i | ||||
\(125\) | 11.1734 | − | 0.394766i | 0.999376 | − | 0.0353090i | ||||
\(126\) | 0.748989 | + | 2.30515i | 0.0667253 | + | 0.205359i | ||||
\(127\) | 4.28099 | − | 8.40191i | 0.379876 | − | 0.745549i | −0.619341 | − | 0.785122i | \(-0.712600\pi\) |
0.999217 | + | 0.0395736i | \(0.0126000\pi\) | |||||||
\(128\) | −11.1562 | + | 1.76696i | −0.986075 | + | 0.156179i | ||||
\(129\) | −6.61291 | + | 4.80456i | −0.582234 | + | 0.423018i | ||||
\(130\) | −0.296600 | + | 3.18185i | −0.0260135 | + | 0.279066i | ||||
\(131\) | − | 7.51676i | − | 0.656743i | −0.944549 | − | 0.328371i | \(-0.893500\pi\) | ||
0.944549 | − | 0.328371i | \(-0.106500\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −8.45377 | − | 8.45377i | −0.733035 | − | 0.733035i | ||||
\(134\) | −0.280575 | + | 0.863521i | −0.0242380 | + | 0.0745968i | ||||
\(135\) | 0.767702 | + | 11.9542i | 0.0660733 | + | 1.02886i | ||||
\(136\) | 7.82885 | + | 5.68799i | 0.671318 | + | 0.487741i | ||||
\(137\) | 13.6942 | + | 6.97753i | 1.16997 | + | 0.596131i | 0.927425 | − | 0.374009i | \(-0.122017\pi\) |
0.242547 | + | 0.970140i | \(0.422017\pi\) | |||||||
\(138\) | 1.48666 | + | 0.757489i | 0.126553 | + | 0.0644818i | ||||
\(139\) | −3.36744 | − | 2.44659i | −0.285623 | − | 0.207517i | 0.435743 | − | 0.900071i | \(-0.356486\pi\) |
−0.721366 | + | 0.692554i | \(0.756486\pi\) | |||||||
\(140\) | 0.736206 | + | 11.4638i | 0.0622208 | + | 0.968869i | ||||
\(141\) | 1.29626 | − | 3.98947i | 0.109164 | − | 0.335974i | ||||
\(142\) | −0.992116 | − | 0.992116i | −0.0832565 | − | 0.0832565i | ||||
\(143\) | 0 | 0 | ||||||||
\(144\) | 4.46910i | 0.372425i | ||||||||
\(145\) | −0.548865 | + | 5.88809i | −0.0455808 | + | 0.488979i | ||||
\(146\) | −5.84786 | + | 4.24872i | −0.483972 | + | 0.351626i | ||||
\(147\) | −1.69415 | + | 0.268327i | −0.139731 | + | 0.0221312i | ||||
\(148\) | 0.930290 | − | 1.82580i | 0.0764693 | − | 0.150080i | ||||
\(149\) | 5.55533 | + | 17.0976i | 0.455111 | + | 1.40069i | 0.871005 | + | 0.491273i | \(0.163468\pi\) |
−0.415895 | + | 0.909413i | \(0.636532\pi\) | |||||||
\(150\) | 0.514183 | − | 2.73405i | 0.0419829 | − | 0.223234i | ||||
\(151\) | 10.4580 | + | 14.3942i | 0.851058 | + | 1.17138i | 0.983629 | + | 0.180207i | \(0.0576767\pi\) |
−0.132571 | + | 0.991173i | \(0.542323\pi\) | |||||||
\(152\) | 3.41861 | + | 6.70939i | 0.277286 | + | 0.544204i | ||||
\(153\) | 6.33960 | − | 6.33960i | 0.512526 | − | 0.512526i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 14.7052 | − | 3.30708i | 1.18115 | − | 0.265631i | ||||
\(156\) | −5.58609 | − | 1.81503i | −0.447245 | − | 0.145319i | ||||
\(157\) | 3.35784 | − | 21.2006i | 0.267985 | − | 1.69199i | −0.375735 | − | 0.926727i | \(-0.622610\pi\) |
0.643720 | − | 0.765261i | \(-0.277390\pi\) | |||||||
\(158\) | −1.16468 | − | 7.35350i | −0.0926569 | − | 0.585013i | ||||
\(159\) | 1.60127 | − | 0.520286i | 0.126989 | − | 0.0412613i | ||||
\(160\) | 2.74212 | − | 10.7378i | 0.216783 | − | 0.848896i | ||||
\(161\) | 5.14060 | − | 7.07543i | 0.405136 | − | 0.557622i | ||||
\(162\) | 0.481425 | + | 0.0762502i | 0.0378243 | + | 0.00599078i | ||||
\(163\) | 9.28876 | − | 4.73286i | 0.727552 | − | 0.370706i | −0.0506534 | − | 0.998716i | \(-0.516130\pi\) |
0.778205 | + | 0.628010i | \(0.216130\pi\) | |||||||
\(164\) | 6.26288 | 0.489049 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 3.26342 | 0.253290 | ||||||||
\(167\) | −10.0620 | + | 5.12686i | −0.778623 | + | 0.396728i | −0.797673 | − | 0.603090i | \(-0.793936\pi\) |
0.0190498 | + | 0.999819i | \(0.493936\pi\) | |||||||
\(168\) | 6.02860 | + | 0.954836i | 0.465117 | + | 0.0736672i | ||||
\(169\) | 2.60712 | − | 3.58840i | 0.200548 | − | 0.276031i | ||||
\(170\) | −4.94766 | + | 2.93473i | −0.379468 | + | 0.225083i | ||||
\(171\) | 6.63507 | − | 2.15586i | 0.507396 | − | 0.164863i | ||||
\(172\) | −1.97694 | − | 12.4819i | −0.150741 | − | 0.951738i | ||||
\(173\) | 2.06528 | − | 13.0397i | 0.157020 | − | 0.991387i | −0.775783 | − | 0.631000i | \(-0.782645\pi\) |
0.932803 | − | 0.360387i | \(-0.117355\pi\) | |||||||
\(174\) | 1.39945 | + | 0.454709i | 0.106092 | + | 0.0344714i | ||||
\(175\) | −13.7328 | − | 4.90381i | −1.03810 | − | 0.370693i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −1.29330 | + | 1.29330i | −0.0972104 | + | 0.0972104i | ||||
\(178\) | −2.47698 | − | 4.86135i | −0.185658 | − | 0.364374i | ||||
\(179\) | 1.30884 | + | 1.80147i | 0.0978276 | + | 0.134648i | 0.855125 | − | 0.518422i | \(-0.173480\pi\) |
−0.757297 | + | 0.653071i | \(0.773480\pi\) | |||||||
\(180\) | −6.15555 | − | 2.65425i | −0.458807 | − | 0.197836i | ||||
\(181\) | 1.33951 | + | 4.12258i | 0.0995647 | + | 0.306429i | 0.988416 | − | 0.151766i | \(-0.0484961\pi\) |
−0.888852 | + | 0.458195i | \(0.848496\pi\) | |||||||
\(182\) | 1.89221 | − | 3.71366i | 0.140260 | − | 0.275275i | ||||
\(183\) | 7.80766 | − | 1.23661i | 0.577159 | − | 0.0914130i | ||||
\(184\) | −4.45646 | + | 3.23780i | −0.328534 | + | 0.238694i | ||||
\(185\) | 1.66065 | + | 2.00207i | 0.122093 | + | 0.147195i | ||||
\(186\) | − | 3.75045i | − | 0.274996i | ||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | 4.58586 | + | 4.58586i | 0.334458 | + | 0.334458i | ||||
\(189\) | 4.82794 | − | 14.8589i | 0.351181 | − | 1.08082i | ||||
\(190\) | −4.46714 | + | 0.286880i | −0.324081 | + | 0.0208125i | ||||
\(191\) | 3.29900 | + | 2.39686i | 0.238707 | + | 0.173431i | 0.700707 | − | 0.713449i | \(-0.252868\pi\) |
−0.462000 | + | 0.886880i | \(0.652868\pi\) | |||||||
\(192\) | 2.87471 | + | 1.46474i | 0.207465 | + | 0.105708i | ||||
\(193\) | −18.6227 | − | 9.48874i | −1.34049 | − | 0.683015i | −0.371113 | − | 0.928588i | \(-0.621024\pi\) |
−0.969378 | + | 0.245573i | \(0.921024\pi\) | |||||||
\(194\) | 3.97778 | + | 2.89003i | 0.285588 | + | 0.207492i | ||||
\(195\) | 4.92337 | − | 5.59913i | 0.352570 | − | 0.400962i | ||||
\(196\) | 0.819484 | − | 2.52211i | 0.0585346 | − | 0.180151i | ||||
\(197\) | −0.213782 | − | 0.213782i | −0.0152313 | − | 0.0152313i | 0.699450 | − | 0.714681i | \(-0.253428\pi\) |
−0.714681 | + | 0.699450i | \(0.753428\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | − | 11.0815i | − | 0.785549i | −0.919635 | − | 0.392775i | \(-0.871515\pi\) | ||
0.919635 | − | 0.392775i | \(-0.128485\pi\) | |||||||
\(200\) | 7.27180 | + | 5.61036i | 0.514194 | + | 0.396712i | ||||
\(201\) | 1.71381 | − | 1.24516i | 0.120883 | − | 0.0878267i | ||||
\(202\) | −0.920828 | + | 0.145845i | −0.0647892 | + | 0.0102616i | ||||
\(203\) | 3.50158 | − | 6.87223i | 0.245762 | − | 0.482336i | ||||
\(204\) | −3.26729 | − | 10.0557i | −0.228756 | − | 0.704038i | ||||
\(205\) | −3.14786 | + | 7.30031i | −0.219856 | + | 0.509876i | ||||
\(206\) | −1.77141 | − | 2.43814i | −0.123420 | − | 0.169873i | ||||
\(207\) | 2.31694 | + | 4.54726i | 0.161039 | + | 0.316056i | ||||
\(208\) | 5.43417 | − | 5.43417i | 0.376792 | − | 0.376792i | ||||
\(209\) | 0 | 0 | ||||||||
\(210\) | −1.94022 | + | 3.06610i | −0.133888 | + | 0.211581i | ||||
\(211\) | 8.42206 | + | 2.73649i | 0.579799 | + | 0.188388i | 0.584210 | − | 0.811602i | \(-0.301404\pi\) |
−0.00441172 | + | 0.999990i | \(0.501404\pi\) | |||||||
\(212\) | −0.407211 | + | 2.57103i | −0.0279673 | + | 0.176579i | ||||
\(213\) | 0.512094 | + | 3.23323i | 0.0350881 | + | 0.221538i | ||||
\(214\) | −0.202276 | + | 0.0657236i | −0.0138273 | + | 0.00449277i | ||||
\(215\) | 15.5432 | + | 3.96927i | 1.06004 | + | 0.270702i | ||||
\(216\) | −5.78409 | + | 7.96112i | −0.393558 | + | 0.541686i | ||||
\(217\) | −19.4164 | − | 3.07526i | −1.31807 | − | 0.208762i | ||||
\(218\) | 4.11910 | − | 2.09879i | 0.278981 | − | 0.142148i | ||||
\(219\) | 16.8647 | 1.13961 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −15.4172 | −1.03707 | ||||||||
\(222\) | 0.576696 | − | 0.293842i | 0.0387053 | − | 0.0197214i | ||||
\(223\) | −6.10610 | − | 0.967112i | −0.408895 | − | 0.0647626i | −0.0514011 | − | 0.998678i | \(-0.516369\pi\) |
−0.357494 | + | 0.933916i | \(0.616369\pi\) | |||||||
\(224\) | −8.49602 | + | 11.6938i | −0.567664 | + | 0.781323i | ||||
\(225\) | 6.18782 | − | 5.84111i | 0.412522 | − | 0.389407i | ||||
\(226\) | −9.41254 | + | 3.05832i | −0.626113 | + | 0.203436i | ||||
\(227\) | 0.518849 | + | 3.27588i | 0.0344372 | + | 0.217428i | 0.998906 | − | 0.0467700i | \(-0.0148928\pi\) |
−0.964468 | + | 0.264198i | \(0.914893\pi\) | |||||||
\(228\) | 1.28706 | − | 8.12619i | 0.0852377 | − | 0.538170i | ||||
\(229\) | −5.07862 | − | 1.65014i | −0.335604 | − | 0.109044i | 0.136367 | − | 0.990658i | \(-0.456457\pi\) |
−0.471971 | + | 0.881614i | \(0.656457\pi\) | |||||||
\(230\) | −0.718477 | − | 3.19477i | −0.0473750 | − | 0.210657i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −3.43509 | + | 3.43509i | −0.225525 | + | 0.225525i | ||||
\(233\) | −2.00585 | − | 3.93669i | −0.131407 | − | 0.257901i | 0.815922 | − | 0.578162i | \(-0.196230\pi\) |
−0.947330 | + | 0.320260i | \(0.896230\pi\) | |||||||
\(234\) | 1.42960 | + | 1.96767i | 0.0934557 | + | 0.128631i | ||||
\(235\) | −7.65044 | + | 3.04054i | −0.499060 | + | 0.198343i | ||||
\(236\) | −0.873824 | − | 2.68935i | −0.0568811 | − | 0.175062i | ||||
\(237\) | −7.88607 | + | 15.4773i | −0.512255 | + | 1.00536i | ||||
\(238\) | 7.41046 | − | 1.17370i | 0.480349 | − | 0.0760798i | ||||
\(239\) | 8.45656 | − | 6.14405i | 0.547009 | − | 0.397426i | −0.279672 | − | 0.960096i | \(-0.590226\pi\) |
0.826682 | + | 0.562670i | \(0.190226\pi\) | |||||||
\(240\) | −5.14940 | + | 4.27124i | −0.332392 | + | 0.275708i | ||||
\(241\) | 27.8579i | 1.79449i | 0.441536 | + | 0.897243i | \(0.354434\pi\) | ||||
−0.441536 | + | 0.897243i | \(0.645566\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 10.5600 | + | 10.5600i | 0.677425 | + | 0.677425i | ||||
\(244\) | −3.77668 | + | 11.6234i | −0.241777 | + | 0.744114i | ||||
\(245\) | 2.52800 | + | 2.22290i | 0.161508 | + | 0.142016i | ||||
\(246\) | 1.60039 | + | 1.16275i | 0.102037 | + | 0.0741345i | ||||
\(247\) | −10.6893 | − | 5.44646i | −0.680142 | − | 0.346550i | ||||
\(248\) | 11.0323 | + | 5.62125i | 0.700553 | + | 0.356949i | ||||
\(249\) | −6.15985 | − | 4.47539i | −0.390365 | − | 0.283616i | ||||
\(250\) | −4.77417 | + | 2.64892i | −0.301945 | + | 0.167532i | ||||
\(251\) | −3.07357 | + | 9.45946i | −0.194002 | + | 0.597076i | 0.805985 | + | 0.591936i | \(0.201636\pi\) |
−0.999987 | + | 0.00514015i | \(0.998364\pi\) | |||||||
\(252\) | 6.18223 | + | 6.18223i | 0.389444 | + | 0.389444i | ||||
\(253\) | 0 | 0 | ||||||||
\(254\) | 4.60489i | 0.288936i | ||||||||
\(255\) | 13.3636 | + | 1.24570i | 0.836859 | + | 0.0780089i | ||||
\(256\) | −0.119374 | + | 0.0867302i | −0.00746087 | + | 0.00542064i | ||||
\(257\) | −4.18826 | + | 0.663355i | −0.261257 | + | 0.0413790i | −0.285689 | − | 0.958323i | \(-0.592222\pi\) |
0.0244320 | + | 0.999701i | \(0.492222\pi\) | |||||||
\(258\) | 1.81219 | − | 3.55662i | 0.112822 | − | 0.221426i | ||||
\(259\) | −1.04837 | − | 3.22655i | −0.0651425 | − | 0.200488i | ||||
\(260\) | 4.25738 | + | 10.7122i | 0.264032 | + | 0.664343i | ||||
\(261\) | 2.64551 | + | 3.64123i | 0.163753 | + | 0.225386i | ||||
\(262\) | 1.66648 | + | 3.27065i | 0.102955 | + | 0.202061i | ||||
\(263\) | −16.1830 | + | 16.1830i | −0.997884 | + | 0.997884i | −0.999998 | − | 0.00211364i | \(-0.999327\pi\) |
0.00211364 | + | 0.999998i | \(0.499327\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −2.79223 | − | 1.76692i | −0.171526 | − | 0.108541i | ||||
\(266\) | 5.55257 | + | 1.80414i | 0.340450 | + | 0.110619i | ||||
\(267\) | −1.99135 | + | 12.5729i | −0.121869 | + | 0.769450i | ||||
\(268\) | 0.512349 | + | 3.23484i | 0.0312967 | + | 0.197599i | ||||
\(269\) | −21.7521 | + | 7.06768i | −1.32625 | + | 0.430924i | −0.884636 | − | 0.466283i | \(-0.845593\pi\) |
−0.441611 | + | 0.897206i | \(0.645593\pi\) | |||||||
\(270\) | −2.98431 | − | 5.03126i | −0.181619 | − | 0.306192i | ||||
\(271\) | −0.817223 | + | 1.12481i | −0.0496428 | + | 0.0683274i | −0.833117 | − | 0.553097i | \(-0.813446\pi\) |
0.783474 | + | 0.621425i | \(0.213446\pi\) | |||||||
\(272\) | 13.6638 | + | 2.16414i | 0.828490 | + | 0.131220i | ||||
\(273\) | −8.66448 | + | 4.41477i | −0.524398 | + | 0.267194i | ||||
\(274\) | −7.50545 | −0.453421 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 6.01861 | 0.362278 | ||||||||
\(277\) | −12.7020 | + | 6.47199i | −0.763189 | + | 0.388864i | −0.791843 | − | 0.610725i | \(-0.790878\pi\) |
0.0286534 | + | 0.999589i | \(0.490878\pi\) | |||||||
\(278\) | 2.00763 | + | 0.317978i | 0.120410 | + | 0.0190711i | ||||
\(279\) | 6.74281 | − | 9.28068i | 0.403682 | − | 0.555620i | ||||
\(280\) | −6.11120 | − | 10.3029i | −0.365214 | − | 0.615714i | ||||
\(281\) | −24.1347 | + | 7.84184i | −1.43976 | + | 0.467805i | −0.921821 | − | 0.387615i | \(-0.873299\pi\) |
−0.517935 | + | 0.855420i | \(0.673299\pi\) | |||||||
\(282\) | 0.320452 | + | 2.02325i | 0.0190826 | + | 0.120483i | ||||
\(283\) | −1.15929 | + | 7.31948i | −0.0689128 | + | 0.435098i | 0.928975 | + | 0.370142i | \(0.120691\pi\) |
−0.997888 | + | 0.0649564i | \(0.979309\pi\) | |||||||
\(284\) | −4.81338 | − | 1.56396i | −0.285622 | − | 0.0928042i | ||||
\(285\) | 8.82536 | + | 5.58466i | 0.522769 | + | 0.330807i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 7.33195 | − | 7.33195i | 0.432791 | − | 0.432791i | ||||
\(288\) | −3.82928 | − | 7.51539i | −0.225643 | − | 0.442848i | ||||
\(289\) | −6.32041 | − | 8.69930i | −0.371789 | − | 0.511724i | ||||
\(290\) | −1.06658 | − | 2.68367i | −0.0626317 | − | 0.157591i | ||||
\(291\) | −3.54491 | − | 10.9101i | −0.207807 | − | 0.639563i | ||||
\(292\) | −11.8373 | + | 23.2320i | −0.692726 | + | 1.35955i | ||||
\(293\) | −14.4967 | + | 2.29605i | −0.846906 | + | 0.134137i | −0.564781 | − | 0.825241i | \(-0.691039\pi\) |
−0.282125 | + | 0.959378i | \(0.591039\pi\) | |||||||
\(294\) | 0.677659 | − | 0.492348i | 0.0395219 | − | 0.0287143i | ||||
\(295\) | 3.57404 | + | 0.333158i | 0.208088 | + | 0.0193972i | ||||
\(296\) | 2.13682i | 0.124200i | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −6.20775 | − | 6.20775i | −0.359606 | − | 0.359606i | ||||
\(299\) | 2.71194 | − | 8.34648i | 0.156835 | − | 0.482689i | ||||
\(300\) | −2.82474 | − | 9.62930i | −0.163087 | − | 0.555948i | ||||
\(301\) | −16.9270 | − | 12.2982i | −0.975655 | − | 0.708855i | ||||
\(302\) | −7.74161 | − | 3.94455i | −0.445480 | − | 0.226983i | ||||
\(303\) | 1.93811 | + | 0.987518i | 0.111342 | + | 0.0567314i | ||||
\(304\) | 8.70907 | + | 6.32751i | 0.499499 | + | 0.362908i | ||||
\(305\) | −11.6506 | − | 10.2445i | −0.667109 | − | 0.586596i | ||||
\(306\) | −1.35295 | + | 4.16395i | −0.0773429 | + | 0.238037i | ||||
\(307\) | 0.874954 | + | 0.874954i | 0.0499363 | + | 0.0499363i | 0.731634 | − | 0.681698i | \(-0.238758\pi\) |
−0.681698 | + | 0.731634i | \(0.738758\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 7.03137i | 0.400001i | ||||||||
\(310\) | −5.66525 | + | 4.69912i | −0.321765 | + | 0.266892i | ||||
\(311\) | −11.4450 | + | 8.31532i | −0.648989 | + | 0.471518i | −0.862927 | − | 0.505329i | \(-0.831371\pi\) |
0.213937 | + | 0.976847i | \(0.431371\pi\) | |||||||
\(312\) | 6.04948 | − | 0.958144i | 0.342485 | − | 0.0542442i | ||||
\(313\) | 0.335793 | − | 0.659031i | 0.0189802 | − | 0.0372506i | −0.881322 | − | 0.472517i | \(-0.843346\pi\) |
0.900302 | + | 0.435266i | \(0.143346\pi\) | |||||||
\(314\) | 3.23915 | + | 9.96909i | 0.182796 | + | 0.562588i | ||||
\(315\) | −10.3136 | + | 4.09897i | −0.581106 | + | 0.230951i | ||||
\(316\) | −15.7855 | − | 21.7269i | −0.888006 | − | 1.22224i | ||||
\(317\) | −7.74784 | − | 15.2060i | −0.435162 | − | 0.854054i | −0.999592 | − | 0.0285725i | \(-0.990904\pi\) |
0.564430 | − | 0.825481i | \(-0.309096\pi\) | |||||||
\(318\) | −0.581389 | + | 0.581389i | −0.0326027 | + | 0.0326027i | ||||
\(319\) | 0 | 0 | ||||||||
\(320\) | −1.38930 | − | 6.17765i | −0.0776644 | − | 0.345341i | ||||
\(321\) | 0.471938 | + | 0.153342i | 0.0263410 | + | 0.00855871i | ||||
\(322\) | −0.668112 | + | 4.21829i | −0.0372324 | + | 0.235076i | ||||
\(323\) | −3.37834 | − | 21.3300i | −0.187976 | − | 1.18683i | ||||
\(324\) | 1.67217 | − | 0.543322i | 0.0928986 | − | 0.0301846i | ||||
\(325\) | −14.6265 | − | 0.421589i | −0.811333 | − | 0.0233856i | ||||
\(326\) | −2.99238 | + | 4.11866i | −0.165733 | + | 0.228112i | ||||
\(327\) | −10.6532 | − | 1.68731i | −0.589125 | − | 0.0933082i | ||||
\(328\) | −5.81905 | + | 2.96496i | −0.321304 | + | 0.163712i | ||||
\(329\) | 10.7373 | 0.591967 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −14.9189 | −0.820016 | −0.410008 | − | 0.912082i | \(-0.634474\pi\) | ||||
−0.410008 | + | 0.912082i | \(0.634474\pi\) | |||||||
\(332\) | 10.4887 | − | 5.34424i | 0.575640 | − | 0.293303i | ||||
\(333\) | 1.95535 | + | 0.309697i | 0.107153 | + | 0.0169713i | ||||
\(334\) | 3.24149 | − | 4.46153i | 0.177367 | − | 0.244124i | ||||
\(335\) | −4.02820 | − | 1.02869i | −0.220084 | − | 0.0562031i | ||||
\(336\) | 8.29879 | − | 2.69644i | 0.452736 | − | 0.147103i | ||||
\(337\) | 1.47636 | + | 9.32134i | 0.0804222 | + | 0.507766i | 0.994712 | + | 0.102705i | \(0.0327497\pi\) |
−0.914290 | + | 0.405061i | \(0.867250\pi\) | |||||||
\(338\) | −0.338842 | + | 2.13936i | −0.0184306 | + | 0.116366i | ||||
\(339\) | 21.9607 | + | 7.13547i | 1.19274 | + | 0.387546i | ||||
\(340\) | −11.0959 | + | 17.5346i | −0.601758 | + | 0.950950i | ||||
\(341\) | 0 | 0 | ||||||||
\(342\) | −2.40905 | + | 2.40905i | −0.130267 | + | 0.130267i | ||||
\(343\) | 7.27490 | + | 14.2778i | 0.392808 | + | 0.770928i | ||||
\(344\) | 7.74600 | + | 10.6615i | 0.417636 | + | 0.574827i | ||||
\(345\) | −3.02509 | + | 7.01557i | −0.162865 | + | 0.377706i | ||||
\(346\) | 1.99228 | + | 6.13161i | 0.107106 | + | 0.329637i | ||||
\(347\) | 8.73452 | − | 17.1425i | 0.468894 | − | 0.920255i | −0.528557 | − | 0.848898i | \(-0.677267\pi\) |
0.997451 | − | 0.0713577i | \(-0.0227332\pi\) | |||||||
\(348\) | 5.24250 | − | 0.830330i | 0.281027 | − | 0.0445104i | ||||
\(349\) | −12.0325 | + | 8.74209i | −0.644082 | + | 0.467953i | −0.861250 | − | 0.508181i | \(-0.830318\pi\) |
0.217168 | + | 0.976134i | \(0.430318\pi\) | |||||||
\(350\) | 7.06250 | − | 0.910865i | 0.377507 | − | 0.0486878i | ||||
\(351\) | − | 15.6777i | − | 0.836813i | ||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 1.78406 | + | 1.78406i | 0.0949560 | + | 0.0949560i | 0.752989 | − | 0.658033i | \(-0.228611\pi\) |
−0.658033 | + | 0.752989i | \(0.728611\pi\) | |||||||
\(354\) | 0.276006 | − | 0.849460i | 0.0146696 | − | 0.0451483i | ||||
\(355\) | 4.24234 | − | 4.82462i | 0.225160 | − | 0.256064i | ||||
\(356\) | −15.9221 | − | 11.5681i | −0.843870 | − | 0.613108i | ||||
\(357\) | −15.5972 | − | 7.94716i | −0.825490 | − | 0.420608i | ||||
\(358\) | −0.968885 | − | 0.493672i | −0.0512072 | − | 0.0260914i | ||||
\(359\) | 6.87015 | + | 4.99146i | 0.362593 | + | 0.263439i | 0.754133 | − | 0.656722i | \(-0.228058\pi\) |
−0.391540 | + | 0.920161i | \(0.628058\pi\) | |||||||
\(360\) | 6.97589 | − | 0.447992i | 0.367662 | − | 0.0236112i | ||||
\(361\) | −0.678357 | + | 2.08777i | −0.0357030 | + | 0.109883i | ||||
\(362\) | −1.49682 | − | 1.49682i | −0.0786711 | − | 0.0786711i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | − | 15.0345i | − | 0.788021i | ||||||
\(365\) | −21.1306 | − | 25.4750i | −1.10603 | − | 1.33342i | ||||
\(366\) | −3.12306 | + | 2.26904i | −0.163245 | + | 0.118604i | ||||
\(367\) | −20.9681 | + | 3.32102i | −1.09453 | + | 0.173356i | −0.677489 | − | 0.735533i | \(-0.736932\pi\) |
−0.417038 | + | 0.908889i | \(0.636932\pi\) | |||||||
\(368\) | −3.57512 | + | 7.01656i | −0.186366 | + | 0.365764i | ||||
\(369\) | 1.86978 | + | 5.75459i | 0.0973368 | + | 0.299572i | ||||
\(370\) | −1.16643 | − | 0.502962i | −0.0606400 | − | 0.0261477i | ||||
\(371\) | 2.53318 | + | 3.48662i | 0.131516 | + | 0.181016i | ||||
\(372\) | −6.14182 | − | 12.0540i | −0.318439 | − | 0.624971i | ||||
\(373\) | −2.57445 | + | 2.57445i | −0.133300 | + | 0.133300i | −0.770609 | − | 0.637309i | \(-0.780048\pi\) |
0.637309 | + | 0.770609i | \(0.280048\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 12.6441 | + | 1.54725i | 0.652940 | + | 0.0798995i | ||||
\(376\) | −6.43190 | − | 2.08985i | −0.331700 | − | 0.107776i | ||||
\(377\) | 1.21074 | − | 7.64432i | 0.0623563 | − | 0.393702i | ||||
\(378\) | 1.19353 | + | 7.53567i | 0.0613887 | + | 0.387593i | ||||
\(379\) | 15.7712 | − | 5.12437i | 0.810112 | − | 0.263221i | 0.125467 | − | 0.992098i | \(-0.459957\pi\) |
0.684645 | + | 0.728877i | \(0.259957\pi\) | |||||||
\(380\) | −13.8877 | + | 8.23752i | −0.712422 | + | 0.422576i | ||||
\(381\) | 6.31506 | − | 8.69193i | 0.323530 | − | 0.445301i | ||||
\(382\) | −1.96683 | − | 0.311515i | −0.100632 | − | 0.0159385i | ||||
\(383\) | −10.1043 | + | 5.14840i | −0.516306 | + | 0.263071i | −0.692671 | − | 0.721254i | \(-0.743566\pi\) |
0.176365 | + | 0.984325i | \(0.443566\pi\) | |||||||
\(384\) | −12.8694 | −0.656736 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 10.2067 | 0.519505 | ||||||||
\(387\) | 10.8787 | − | 5.54297i | 0.552995 | − | 0.281765i | ||||
\(388\) | 17.5174 | + | 2.77449i | 0.889312 | + | 0.140853i | ||||
\(389\) | 0.480555 | − | 0.661427i | 0.0243651 | − | 0.0335357i | −0.796661 | − | 0.604427i | \(-0.793402\pi\) |
0.821026 | + | 0.570891i | \(0.193402\pi\) | |||||||
\(390\) | −0.900892 | + | 3.52778i | −0.0456184 | + | 0.178636i | ||||
\(391\) | 15.0247 | − | 4.88183i | 0.759833 | − | 0.246885i | ||||
\(392\) | 0.432601 | + | 2.73134i | 0.0218497 | + | 0.137953i | ||||
\(393\) | 1.33975 | − | 8.45887i | 0.0675816 | − | 0.426694i | ||||
\(394\) | 0.140415 | + | 0.0456237i | 0.00707402 | + | 0.00229849i | ||||
\(395\) | 33.2601 | − | 7.47992i | 1.67350 | − | 0.376356i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 11.8504 | − | 11.8504i | 0.594752 | − | 0.594752i | −0.344159 | − | 0.938911i | \(-0.611836\pi\) |
0.938911 | + | 0.344159i | \(0.111836\pi\) | |||||||
\(398\) | 2.45679 | + | 4.82173i | 0.123148 | + | 0.241691i | ||||
\(399\) | −8.00656 | − | 11.0201i | −0.400829 | − | 0.551694i | ||||
\(400\) | 12.9039 | + | 2.42679i | 0.645194 | + | 0.121339i | ||||
\(401\) | −8.79392 | − | 27.0649i | −0.439148 | − | 1.35156i | −0.888776 | − | 0.458342i | \(-0.848444\pi\) |
0.449629 | − | 0.893216i | \(-0.351556\pi\) | |||||||
\(402\) | −0.469651 | + | 0.921741i | −0.0234240 | + | 0.0459723i | ||||
\(403\) | −19.4837 | + | 3.08591i | −0.970551 | + | 0.153720i | ||||
\(404\) | −2.72071 | + | 1.97671i | −0.135361 | + | 0.0983452i | ||||
\(405\) | −0.207150 | + | 2.22225i | −0.0102934 | + | 0.110424i | ||||
\(406\) | 3.76651i | 0.186929i | ||||||||
\(407\) | 0 | 0 | ||||||||
\(408\) | 7.79627 | + | 7.79627i | 0.385973 | + | 0.385973i | ||||
\(409\) | −0.748644 | + | 2.30409i | −0.0370181 | + | 0.113930i | −0.967858 | − | 0.251497i | \(-0.919077\pi\) |
0.930840 | + | 0.365427i | \(0.119077\pi\) | |||||||
\(410\) | −0.248811 | − | 3.87435i | −0.0122879 | − | 0.191341i | ||||
\(411\) | 14.1669 | + | 10.2928i | 0.698801 | + | 0.507708i | ||||
\(412\) | −9.68608 | − | 4.93530i | −0.477199 | − | 0.243145i | ||||
\(413\) | −4.17141 | − | 2.12544i | −0.205262 | − | 0.104586i | ||||
\(414\) | −2.01627 | − | 1.46490i | −0.0990941 | − | 0.0719961i | ||||
\(415\) | 0.957663 | + | 14.9122i | 0.0470098 | + | 0.732012i | ||||
\(416\) | −4.48210 | + | 13.7945i | −0.219753 | + | 0.676330i | ||||
\(417\) | −3.35343 | − | 3.35343i | −0.164218 | − | 0.164218i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 16.4371i | 0.803006i | 0.915858 | + | 0.401503i | \(0.131512\pi\) | ||||
−0.915858 | + | 0.401503i | \(0.868488\pi\) | |||||||
\(420\) | −1.21478 | + | 13.0318i | −0.0592751 | + | 0.635889i | ||||
\(421\) | 10.0871 | − | 7.32873i | 0.491617 | − | 0.357180i | −0.314189 | − | 0.949360i | \(-0.601733\pi\) |
0.805806 | + | 0.592180i | \(0.201733\pi\) | |||||||
\(422\) | −4.27124 | + | 0.676498i | −0.207921 | + | 0.0329314i | ||||
\(423\) | −2.84457 | + | 5.58277i | −0.138308 | + | 0.271444i | ||||
\(424\) | −0.838815 | − | 2.58161i | −0.0407364 | − | 0.125374i | ||||
\(425\) | −14.8622 | − | 21.7472i | −0.720921 | − | 1.05489i | ||||
\(426\) | −0.939632 | − | 1.29329i | −0.0455253 | − | 0.0626602i | ||||
\(427\) | 9.18618 | + | 18.0289i | 0.444550 | + | 0.872479i | ||||
\(428\) | −0.542488 | + | 0.542488i | −0.0262222 | + | 0.0262222i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −7.64304 | + | 1.71886i | −0.368580 | + | 0.0828907i | ||||
\(431\) | 18.8644 | + | 6.12941i | 0.908666 | + | 0.295243i | 0.725809 | − | 0.687896i | \(-0.241466\pi\) |
0.182857 | + | 0.983140i | \(0.441466\pi\) | |||||||
\(432\) | −2.20070 | + | 13.8947i | −0.105881 | + | 0.668508i | ||||
\(433\) | 4.47800 | + | 28.2730i | 0.215199 | + | 1.35871i | 0.824540 | + | 0.565803i | \(0.191434\pi\) |
−0.609341 | + | 0.792908i | \(0.708566\pi\) | |||||||
\(434\) | 9.13013 | − | 2.96656i | 0.438260 | − | 0.142399i | ||||
\(435\) | −1.66712 | + | 6.52824i | −0.0799324 | + | 0.313005i | ||||
\(436\) | 9.80183 | − | 13.4911i | 0.469422 | − | 0.646104i | ||||
\(437\) | 12.1418 | + | 1.92307i | 0.580820 | + | 0.0919929i | ||||
\(438\) | −7.33807 | + | 3.73893i | −0.350626 | + | 0.178653i | ||||
\(439\) | 3.12279 | 0.149043 | 0.0745214 | − | 0.997219i | \(-0.476257\pi\) | ||||
0.0745214 | + | 0.997219i | \(0.476257\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 2.56208 | 0.122004 | ||||||||
\(442\) | 6.70823 | − | 3.41802i | 0.319078 | − | 0.162578i | ||||
\(443\) | −31.3472 | − | 4.96491i | −1.48935 | − | 0.235890i | −0.641910 | − | 0.766780i | \(-0.721858\pi\) |
−0.847441 | + | 0.530890i | \(0.821858\pi\) | |||||||
\(444\) | 1.37231 | − | 1.88882i | 0.0651269 | − | 0.0896395i | ||||
\(445\) | 21.4871 | − | 12.7452i | 1.01859 | − | 0.604179i | ||||
\(446\) | 2.87126 | − | 0.932929i | 0.135958 | − | 0.0441755i | ||||
\(447\) | 3.20422 | + | 20.2306i | 0.151554 | + | 0.956876i | ||||
\(448\) | −1.29191 | + | 8.15682i | −0.0610372 | + | 0.385373i | ||||
\(449\) | 33.2818 | + | 10.8139i | 1.57067 | + | 0.510341i | 0.959631 | − | 0.281262i | \(-0.0907530\pi\) |
0.611036 | + | 0.791603i | \(0.290753\pi\) | |||||||
\(450\) | −1.39743 | + | 3.91340i | −0.0658753 | + | 0.184479i | ||||
\(451\) | 0 | 0 | ||||||||
\(452\) | −25.2437 | + | 25.2437i | −1.18736 | + | 1.18736i | ||||
\(453\) | 9.20317 | + | 18.0622i | 0.432402 | + | 0.848638i | ||||
\(454\) | −0.952026 | − | 1.31035i | −0.0446808 | − | 0.0614978i | ||||
\(455\) | 17.5249 | + | 7.55666i | 0.821580 | + | 0.354262i | ||||
\(456\) | 2.65122 | + | 8.15963i | 0.124155 | + | 0.382110i | ||||
\(457\) | 2.31538 | − | 4.54419i | 0.108309 | − | 0.212568i | −0.830490 | − | 0.557033i | \(-0.811940\pi\) |
0.938799 | + | 0.344465i | \(0.111940\pi\) | |||||||
\(458\) | 2.57562 | − | 0.407937i | 0.120351 | − | 0.0190617i | ||||
\(459\) | 22.8319 | − | 16.5884i | 1.06570 | − | 0.774279i | ||||
\(460\) | −7.54101 | − | 9.09143i | −0.351602 | − | 0.423890i | ||||
\(461\) | 12.4703i | 0.580801i | 0.956905 | + | 0.290400i | \(0.0937885\pi\) | ||||
−0.956905 | + | 0.290400i | \(0.906211\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −19.2728 | − | 19.2728i | −0.895684 | − | 0.895684i | 0.0993669 | − | 0.995051i | \(-0.468318\pi\) |
−0.995051 | + | 0.0993669i | \(0.968318\pi\) | |||||||
\(464\) | −2.14609 | + | 6.60498i | −0.0996297 | + | 0.306629i | ||||
\(465\) | 17.1377 | − | 1.10059i | 0.794743 | − | 0.0510384i | ||||
\(466\) | 1.74554 | + | 1.26821i | 0.0808607 | + | 0.0587487i | ||||
\(467\) | 35.3668 | + | 18.0203i | 1.63658 | + | 0.833879i | 0.997925 | + | 0.0643861i | \(0.0205089\pi\) |
0.638655 | + | 0.769493i | \(0.279491\pi\) | |||||||
\(468\) | 7.81705 | + | 3.98299i | 0.361343 | + | 0.184114i | ||||
\(469\) | 4.38683 | + | 3.18722i | 0.202565 | + | 0.147172i | ||||
\(470\) | 2.65472 | − | 3.01909i | 0.122453 | − | 0.139260i | ||||
\(471\) | 7.55738 | − | 23.2592i | 0.348226 | − | 1.07173i | ||||
\(472\) | 2.08508 | + | 2.08508i | 0.0959738 | + | 0.0959738i | ||||
\(473\) | 0 | 0 | ||||||||
\(474\) | − | 8.48273i | − | 0.389625i | ||||||
\(475\) | −2.62180 | − | 20.3285i | −0.120296 | − | 0.932733i | ||||
\(476\) | 21.8952 | − | 15.9078i | 1.00357 | − | 0.729134i | ||||
\(477\) | −2.48393 | + | 0.393417i | −0.113732 | + | 0.0180133i | ||||
\(478\) | −2.31742 | + | 4.54819i | −0.105996 | + | 0.208029i | ||||
\(479\) | −11.8215 | − | 36.3828i | −0.540138 | − | 1.66237i | −0.732278 | − | 0.681006i | \(-0.761543\pi\) |
0.192141 | − | 0.981367i | \(-0.438457\pi\) | |||||||
\(480\) | 4.99965 | − | 11.5949i | 0.228202 | − | 0.529230i | ||||
\(481\) | −2.00102 | − | 2.75417i | −0.0912389 | − | 0.125580i | ||||
\(482\) | −6.17614 | − | 12.1214i | −0.281316 | − | 0.552113i | ||||
\(483\) | 7.04599 | − | 7.04599i | 0.320603 | − | 0.320603i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −12.0387 | + | 19.0246i | −0.546650 | + | 0.863863i | ||||
\(486\) | −6.93598 | − | 2.25364i | −0.314622 | − | 0.102227i | ||||
\(487\) | −4.25177 | + | 26.8446i | −0.192666 | + | 1.21645i | 0.681866 | + | 0.731477i | \(0.261169\pi\) |
−0.874532 | + | 0.484968i | \(0.838831\pi\) | |||||||
\(488\) | −1.99369 | − | 12.5877i | −0.0902501 | − | 0.569817i | ||||
\(489\) | 11.2965 | − | 3.67046i | 0.510846 | − | 0.165984i | ||||
\(490\) | −1.59279 | − | 0.406752i | −0.0719549 | − | 0.0183752i | ||||
\(491\) | 2.33461 | − | 3.21331i | 0.105359 | − | 0.145015i | −0.753082 | − | 0.657927i | \(-0.771433\pi\) |
0.858441 | + | 0.512912i | \(0.171433\pi\) | |||||||
\(492\) | 7.04784 | + | 1.11627i | 0.317741 | + | 0.0503253i | ||||
\(493\) | 12.4138 | − | 6.32512i | 0.559087 | − | 0.284869i | ||||
\(494\) | 5.85854 | 0.263588 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 17.7010 | 0.794798 | ||||||||
\(497\) | −7.46596 | + | 3.80409i | −0.334894 | + | 0.170637i | ||||
\(498\) | 3.67244 | + | 0.581657i | 0.164566 | + | 0.0260647i | ||||
\(499\) | −3.77656 | + | 5.19799i | −0.169062 | + | 0.232694i | −0.885138 | − | 0.465328i | \(-0.845936\pi\) |
0.716076 | + | 0.698022i | \(0.245936\pi\) | |||||||
\(500\) | −11.0063 | + | 16.3319i | −0.492217 | + | 0.730387i | ||||
\(501\) | −12.2369 | + | 3.97602i | −0.546706 | + | 0.177636i | ||||
\(502\) | −0.759827 | − | 4.79736i | −0.0339127 | − | 0.214117i | ||||
\(503\) | −6.37107 | + | 40.2254i | −0.284072 | + | 1.79356i | 0.271865 | + | 0.962335i | \(0.412360\pi\) |
−0.555937 | + | 0.831224i | \(0.687640\pi\) | |||||||
\(504\) | −8.67089 | − | 2.81734i | −0.386232 | − | 0.125494i | ||||
\(505\) | −0.936660 | − | 4.16493i | −0.0416808 | − | 0.185337i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 3.57347 | − | 3.57347i | 0.158703 | − | 0.158703i | ||||
\(508\) | 7.54106 | + | 14.8002i | 0.334581 | + | 0.656651i | ||||
\(509\) | 5.45800 | + | 7.51230i | 0.241922 | + | 0.332977i | 0.912662 | − | 0.408716i | \(-0.134023\pi\) |
−0.670740 | + | 0.741693i | \(0.734023\pi\) | |||||||
\(510\) | −6.09085 | + | 2.42070i | −0.269707 | + | 0.107190i | ||||
\(511\) | 13.3398 | + | 41.0556i | 0.590117 | + | 1.81619i | ||||
\(512\) | 10.2886 | − | 20.1924i | 0.454695 | − | 0.892388i | ||||
\(513\) | 21.6904 | − | 3.43542i | 0.957654 | − | 0.151678i | ||||
\(514\) | 1.67530 | − | 1.21718i | 0.0738944 | − | 0.0536875i | ||||
\(515\) | 10.6213 | − | 8.80995i | 0.468028 | − | 0.388213i | ||||
\(516\) | − | 14.3987i | − | 0.633868i | ||||||
\(517\) | 0 | 0 | ||||||||
\(518\) | 1.17149 | + | 1.17149i | 0.0514723 | + | 0.0514723i | ||||
\(519\) | 4.64826 | − | 14.3059i | 0.204036 | − | 0.627958i | ||||
\(520\) | −9.02702 | − | 7.93755i | −0.395861 | − | 0.348085i | ||||
\(521\) | 11.9792 | + | 8.70338i | 0.524817 | + | 0.381302i | 0.818416 | − | 0.574627i | \(-0.194853\pi\) |
−0.293598 | + | 0.955929i | \(0.594853\pi\) | |||||||
\(522\) | −1.95836 | − | 0.997836i | −0.0857152 | − | 0.0436741i | ||||
\(523\) | 34.6096 | + | 17.6345i | 1.51337 | + | 0.771102i | 0.996390 | − | 0.0848935i | \(-0.0270550\pi\) |
0.516983 | + | 0.855996i | \(0.327055\pi\) | |||||||
\(524\) | 10.7122 | + | 7.78284i | 0.467963 | + | 0.339995i | ||||
\(525\) | −14.5799 | − | 7.96609i | −0.636321 | − | 0.347669i | ||||
\(526\) | 3.45364 | − | 10.6292i | 0.150586 | − | 0.463456i | ||||
\(527\) | −25.1096 | − | 25.1096i | −1.09379 | − | 1.09379i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | − | 14.0073i | − | 0.609011i | ||||||
\(530\) | 1.60667 | + | 0.149768i | 0.0697892 | + | 0.00650549i | ||||
\(531\) | 2.21021 | − | 1.60581i | 0.0959148 | − | 0.0696862i | ||||
\(532\) | 20.8005 | − | 3.29448i | 0.901817 | − | 0.142834i | ||||
\(533\) | 4.72371 | − | 9.27081i | 0.204607 | − | 0.401563i | ||||
\(534\) | −1.92097 | − | 5.91214i | −0.0831285 | − | 0.255843i | ||||
\(535\) | −0.359683 | − | 0.905016i | −0.0155505 | − | 0.0391273i | ||||
\(536\) | −2.00747 | − | 2.76304i | −0.0867095 | − | 0.119345i | ||||
\(537\) | 1.15180 | + | 2.26054i | 0.0497039 | + | 0.0975495i | ||||
\(538\) | 7.89771 | − | 7.89771i | 0.340495 | − | 0.340495i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −17.8309 | − | 11.2833i | −0.767320 | − | 0.485558i | ||||
\(541\) | −16.5674 | − | 5.38306i | −0.712286 | − | 0.231436i | −0.0696106 | − | 0.997574i | \(-0.522176\pi\) |
−0.642676 | + | 0.766138i | \(0.722176\pi\) | |||||||
\(542\) | 0.106213 | − | 0.670600i | 0.00456222 | − | 0.0288047i | ||||
\(543\) | 0.772603 | + | 4.87803i | 0.0331556 | + | 0.209336i | ||||
\(544\) | −24.8318 | + | 8.06835i | −1.06466 | + | 0.345928i | ||||
\(545\) | 10.7992 | + | 18.2064i | 0.462586 | + | 0.779875i | ||||
\(546\) | 2.79127 | − | 3.84186i | 0.119455 | − | 0.164416i | ||||
\(547\) | 38.7239 | + | 6.13326i | 1.65571 | + | 0.262239i | 0.913176 | − | 0.407565i | \(-0.133622\pi\) |
0.742538 | + | 0.669804i | \(0.233622\pi\) | |||||||
\(548\) | −24.1226 | + | 12.2911i | −1.03047 | + | 0.525049i | ||||
\(549\) | −11.8076 | −0.503936 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 10.8414 | 0.461858 | ||||||||
\(552\) | −5.59209 | + | 2.84931i | −0.238015 | + | 0.121275i | ||||
\(553\) | −43.9158 | − | 6.95558i | −1.86749 | − | 0.295781i | ||||
\(554\) | 4.09197 | − | 5.63211i | 0.173851 | − | 0.239285i | ||||
\(555\) | 1.51194 | + | 2.54899i | 0.0641785 | + | 0.108199i | ||||
\(556\) | 6.97329 | − | 2.26576i | 0.295733 | − | 0.0960896i | ||||
\(557\) | −5.74133 | − | 36.2493i | −0.243268 | − | 1.53593i | −0.742727 | − | 0.669595i | \(-0.766468\pi\) |
0.499459 | − | 0.866338i | \(-0.333532\pi\) | |||||||
\(558\) | −0.876348 | + | 5.53305i | −0.0370988 | + | 0.234232i | ||||
\(559\) | −19.9678 | − | 6.48793i | −0.844548 | − | 0.274410i | ||||
\(560\) | −14.4711 | − | 9.15725i | −0.611514 | − | 0.386964i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 8.76280 | − | 8.76280i | 0.369636 | − | 0.369636i | ||||
\(563\) | −7.66381 | − | 15.0411i | −0.322991 | − | 0.633906i | 0.671231 | − | 0.741248i | \(-0.265766\pi\) |
−0.994222 | + | 0.107342i | \(0.965766\pi\) | |||||||
\(564\) | 4.34326 | + | 5.97799i | 0.182884 | + | 0.251719i | ||||
\(565\) | −16.7372 | − | 42.1132i | −0.704138 | − | 1.77172i | ||||
\(566\) | −1.11832 | − | 3.44182i | −0.0470063 | − | 0.144671i | ||||
\(567\) | 1.32155 | − | 2.59368i | 0.0554997 | − | 0.108924i | ||||
\(568\) | 5.21268 | − | 0.825608i | 0.218719 | − | 0.0346417i | ||||
\(569\) | −2.14294 | + | 1.55694i | −0.0898368 | + | 0.0652703i | −0.631797 | − | 0.775134i | \(-0.717682\pi\) |
0.541960 | + | 0.840404i | \(0.317682\pi\) | |||||||
\(570\) | −5.07816 | − | 0.473367i | −0.212701 | − | 0.0198272i | ||||
\(571\) | − | 29.8675i | − | 1.24992i | −0.780658 | − | 0.624959i | \(-0.785116\pi\) | ||
0.780658 | − | 0.624959i | \(-0.214884\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 3.28527 | + | 3.28527i | 0.137244 | + | 0.137244i | ||||
\(574\) | −1.56473 | + | 4.81574i | −0.0653105 | + | 0.201005i | ||||
\(575\) | 14.3877 | − | 4.22060i | 0.600007 | − | 0.176011i | ||||
\(576\) | −3.89881 | − | 2.83265i | −0.162450 | − | 0.118027i | ||||
\(577\) | 0.319779 | + | 0.162935i | 0.0133126 | + | 0.00678309i | 0.460634 | − | 0.887590i | \(-0.347622\pi\) |
−0.447322 | + | 0.894373i | \(0.647622\pi\) | |||||||
\(578\) | 4.67875 | + | 2.38394i | 0.194610 | + | 0.0991589i | ||||
\(579\) | −19.2655 | − | 13.9972i | −0.800649 | − | 0.581705i | ||||
\(580\) | −7.82284 | − | 6.87870i | −0.324826 | − | 0.285623i | ||||
\(581\) | 6.02257 | − | 18.5356i | 0.249858 | − | 0.768985i | ||||
\(582\) | 3.96123 | + | 3.96123i | 0.164198 | + | 0.164198i | ||||
\(583\) | 0 | 0 | ||||||||
\(584\) | − | 27.1896i | − | 1.12511i | ||||||
\(585\) | −8.57177 | + | 7.10998i | −0.354399 | + | 0.293961i | ||||
\(586\) | 5.79867 | − | 4.21298i | 0.239541 | − | 0.174037i | ||||
\(587\) | 25.5288 | − | 4.04336i | 1.05368 | − | 0.166887i | 0.394521 | − | 0.918887i | \(-0.370910\pi\) |
0.659164 | + | 0.752000i | \(0.270910\pi\) | |||||||
\(588\) | 1.37172 | − | 2.69216i | 0.0565690 | − | 0.111023i | ||||
\(589\) | −8.53884 | − | 26.2798i | −0.351837 | − | 1.08284i | ||||
\(590\) | −1.62897 | + | 0.647408i | −0.0670638 | + | 0.0266534i | ||||
\(591\) | −0.202473 | − | 0.278680i | −0.00832861 | − | 0.0114634i | ||||
\(592\) | 1.38684 | + | 2.72183i | 0.0569989 | + | 0.111867i | ||||
\(593\) | 9.56872 | − | 9.56872i | 0.392940 | − | 0.392940i | −0.482794 | − | 0.875734i | \(-0.660378\pi\) |
0.875734 | + | 0.482794i | \(0.160378\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 7.53787 | + | 33.5177i | 0.309022 | + | 1.37409i | ||||
\(596\) | −30.1178 | − | 9.78585i | −1.23367 | − | 0.400844i | ||||
\(597\) | 1.97512 | − | 12.4704i | 0.0808364 | − | 0.510381i | ||||
\(598\) | 0.670427 | + | 4.23291i | 0.0274158 | + | 0.173096i | ||||
\(599\) | −10.7687 | + | 3.49896i | −0.439997 | + | 0.142964i | −0.520634 | − | 0.853780i | \(-0.674304\pi\) |
0.0806373 | + | 0.996744i | \(0.474304\pi\) | |||||||
\(600\) | 7.18324 | + | 7.60962i | 0.293254 | + | 0.310662i | ||||
\(601\) | −9.69211 | + | 13.3401i | −0.395350 | + | 0.544152i | −0.959569 | − | 0.281473i | \(-0.909177\pi\) |
0.564220 | + | 0.825625i | \(0.309177\pi\) | |||||||
\(602\) | 10.0917 | + | 1.59837i | 0.411307 | + | 0.0651446i | ||||
\(603\) | −2.81934 | + | 1.43653i | −0.114812 | + | 0.0584999i | ||||
\(604\) | −31.3413 | −1.27526 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −1.06223 | −0.0431503 | ||||||||
\(607\) | −4.44109 | + | 2.26285i | −0.180258 | + | 0.0918461i | −0.541791 | − | 0.840513i | \(-0.682254\pi\) |
0.361533 | + | 0.932359i | \(0.382254\pi\) | |||||||
\(608\) | −20.0671 | − | 3.17832i | −0.813828 | − | 0.128898i | ||||
\(609\) | 5.16532 | − | 7.10945i | 0.209309 | − | 0.288090i | ||||
\(610\) | 7.34053 | + | 1.87456i | 0.297210 | + | 0.0758987i | ||||
\(611\) | 10.2472 | − | 3.32951i | 0.414556 | − | 0.134697i | ||||
\(612\) | 2.47057 | + | 15.5986i | 0.0998670 | + | 0.630536i | ||||
\(613\) | −2.85957 | + | 18.0546i | −0.115497 | + | 0.729218i | 0.860178 | + | 0.509994i | \(0.170352\pi\) |
−0.975675 | + | 0.219224i | \(0.929648\pi\) | |||||||
\(614\) | −0.574683 | − | 0.186726i | −0.0231923 | − | 0.00753565i | ||||
\(615\) | −4.84357 | + | 7.65423i | −0.195312 | + | 0.308648i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 15.4942 | − | 15.4942i | 0.623773 | − | 0.623773i | −0.322721 | − | 0.946494i | \(-0.604598\pi\) |
0.946494 | + | 0.322721i | \(0.104598\pi\) | |||||||
\(618\) | −1.55887 | − | 3.05945i | −0.0627068 | − | 0.123069i | ||||
\(619\) | 28.9283 | + | 39.8164i | 1.16273 | + | 1.60036i | 0.700622 | + | 0.713533i | \(0.252906\pi\) |
0.462106 | + | 0.886825i | \(0.347094\pi\) | |||||||
\(620\) | −10.5128 | + | 24.3806i | −0.422205 | + | 0.979148i | ||||
\(621\) | 4.96431 | + | 15.2786i | 0.199211 | + | 0.613109i | ||||
\(622\) | 3.13638 | − | 6.15549i | 0.125757 | − | 0.246813i | ||||
\(623\) | −32.1828 | + | 5.09725i | −1.28938 | + | 0.204217i | ||||
\(624\) | 7.08383 | − | 5.14670i | 0.283580 | − | 0.206033i | ||||
\(625\) | −13.5053 | − | 21.0382i | −0.540210 | − | 0.841530i | ||||
\(626\) | 0.361199i | 0.0144364i | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 26.7363 | + | 26.7363i | 1.06689 | + | 1.06689i | ||||
\(629\) | 1.89374 | − | 5.82832i | 0.0755082 | − | 0.232390i | ||||
\(630\) | 3.57885 | − | 4.07006i | 0.142585 | − | 0.162155i | ||||
\(631\) | 7.32346 | + | 5.32080i | 0.291542 | + | 0.211818i | 0.723936 | − | 0.689867i | \(-0.242331\pi\) |
−0.432394 | + | 0.901685i | \(0.642331\pi\) | |||||||
\(632\) | 24.9528 | + | 12.7141i | 0.992568 | + | 0.505739i | ||||
\(633\) | 8.98990 | + | 4.58058i | 0.357316 | + | 0.182062i | ||||
\(634\) | 6.74238 | + | 4.89863i | 0.267774 | + | 0.194549i | ||||
\(635\) | −21.0421 | + | 1.35132i | −0.835029 | + | 0.0536256i | ||||
\(636\) | −0.916496 | + | 2.82068i | −0.0363414 | + | 0.111847i | ||||
\(637\) | −3.11534 | − | 3.11534i | −0.123434 | − | 0.123434i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | − | 4.88965i | − | 0.193432i | ||||||
\(640\) | 16.1246 | + | 19.4398i | 0.637382 | + | 0.768427i | ||||
\(641\) | 22.5944 | − | 16.4158i | 0.892426 | − | 0.648385i | −0.0440836 | − | 0.999028i | \(-0.514037\pi\) |
0.936509 | + | 0.350643i | \(0.114037\pi\) | |||||||
\(642\) | −0.239343 | + | 0.0379082i | −0.00944611 | + | 0.00149612i | ||||
\(643\) | −4.37166 | + | 8.57987i | −0.172401 | + | 0.338357i | −0.960999 | − | 0.276553i | \(-0.910808\pi\) |
0.788597 | + | 0.614910i | \(0.210808\pi\) | |||||||
\(644\) | 4.76065 | + | 14.6518i | 0.187596 | + | 0.577361i | ||||
\(645\) | 16.7838 | + | 7.23711i | 0.660861 | + | 0.284961i | ||||
\(646\) | 6.19886 | + | 8.53199i | 0.243891 | + | 0.335687i | ||||
\(647\) | 14.0516 | + | 27.5778i | 0.552425 | + | 1.08420i | 0.983335 | + | 0.181801i | \(0.0581926\pi\) |
−0.430910 | + | 0.902395i | \(0.641807\pi\) | |||||||
\(648\) | −1.29645 | + | 1.29645i | −0.0509296 | + | 0.0509296i | ||||
\(649\) | 0 | 0 | ||||||||
\(650\) | 6.45766 | − | 3.05928i | 0.253290 | − | 0.119995i | ||||
\(651\) | −21.3018 | − | 6.92139i | −0.834885 | − | 0.271270i | ||||
\(652\) | −2.87275 | + | 18.1378i | −0.112506 | + | 0.710332i | ||||
\(653\) | 0.955876 | + | 6.03516i | 0.0374063 | + | 0.236174i | 0.999307 | − | 0.0372253i | \(-0.0118519\pi\) |
−0.961901 | + | 0.273399i | \(0.911852\pi\) | |||||||
\(654\) | 5.00945 | − | 1.62767i | 0.195885 | − | 0.0636468i | ||||
\(655\) | −14.4562 | + | 8.57477i | −0.564851 | + | 0.335044i | ||||
\(656\) | −5.48785 | + | 7.55337i | −0.214264 | + | 0.294910i | ||||
\(657\) | −24.8805 | − | 3.94069i | −0.970682 | − | 0.153741i | ||||
\(658\) | −4.67195 | + | 2.38048i | −0.182132 | + | 0.0928008i | ||||
\(659\) | −12.0647 | −0.469975 | −0.234988 | − | 0.971998i | \(-0.575505\pi\) | ||||
−0.234988 | + | 0.971998i | \(0.575505\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −29.6228 | −1.15219 | −0.576097 | − | 0.817382i | \(-0.695425\pi\) | ||||
−0.576097 | + | 0.817382i | \(0.695425\pi\) | |||||||
\(662\) | 6.49141 | − | 3.30754i | 0.252296 | − | 0.128551i | ||||
\(663\) | −17.3495 | − | 2.74789i | −0.673799 | − | 0.106719i | ||||
\(664\) | −7.21531 | + | 9.93103i | −0.280008 | + | 0.385399i | ||||
\(665\) | −6.61460 | + | 25.9019i | −0.256503 | + | 1.00443i | ||||
\(666\) | −0.919461 | + | 0.298751i | −0.0356284 | + | 0.0115764i | ||||
\(667\) | 1.24064 | + | 7.83310i | 0.0480378 | + | 0.303299i | ||||
\(668\) | 3.11190 | − | 19.6478i | 0.120403 | − | 0.760195i | ||||
\(669\) | −6.69903 | − | 2.17665i | −0.259000 | − | 0.0841541i | ||||
\(670\) | 1.98079 | − | 0.445463i | 0.0765244 | − | 0.0172097i | ||||
\(671\) | 0 | 0 | ||||||||
\(672\) | −11.6451 | + | 11.6451i | −0.449220 | + | 0.449220i | ||||
\(673\) | 2.28621 | + | 4.48693i | 0.0881267 | + | 0.172958i | 0.930863 | − | 0.365368i | \(-0.119057\pi\) |
−0.842736 | + | 0.538326i | \(0.819057\pi\) | |||||||
\(674\) | −2.70894 | − | 3.72853i | −0.104344 | − | 0.143618i | ||||
\(675\) | 22.1146 | − | 15.1133i | 0.851191 | − | 0.581710i | ||||
\(676\) | 2.41443 | + | 7.43084i | 0.0928626 | + | 0.285802i | ||||
\(677\) | 16.5280 | − | 32.4380i | 0.635223 | − | 1.24670i | −0.319044 | − | 0.947740i | \(-0.603362\pi\) |
0.954267 | − | 0.298956i | \(-0.0966382\pi\) | |||||||
\(678\) | −11.1374 | + | 1.76398i | −0.427728 | + | 0.0677454i | ||||
\(679\) | 23.7557 | − | 17.2595i | 0.911661 | − | 0.662360i | ||||
\(680\) | 2.00834 | − | 21.5450i | 0.0770165 | − | 0.826213i | ||||
\(681\) | 3.77894i | 0.144809i | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −8.07353 | − | 8.07353i | −0.308925 | − | 0.308925i | 0.535567 | − | 0.844492i | \(-0.320098\pi\) |
−0.844492 | + | 0.535567i | \(0.820098\pi\) | |||||||
\(684\) | −3.79761 | + | 11.6878i | −0.145205 | + | 0.446895i | ||||
\(685\) | −2.20250 | − | 34.2962i | −0.0841534 | − | 1.31039i | ||||
\(686\) | −6.33082 | − | 4.59961i | −0.241712 | − | 0.175614i | ||||
\(687\) | −5.42103 | − | 2.76215i | −0.206825 | − | 0.105383i | ||||
\(688\) | 16.7862 | + | 8.55298i | 0.639967 | + | 0.326079i | ||||
\(689\) | 3.49870 | + | 2.54195i | 0.133290 | + | 0.0968407i | ||||
\(690\) | −0.239107 | − | 3.72324i | −0.00910263 | − | 0.141741i | ||||
\(691\) | −3.67098 | + | 11.2981i | −0.139651 | + | 0.429801i | −0.996284 | − | 0.0861243i | \(-0.972552\pi\) |
0.856634 | + | 0.515925i | \(0.172552\pi\) | |||||||
\(692\) | 16.4445 | + | 16.4445i | 0.625125 | + | 0.625125i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 9.39538i | 0.356644i | ||||||||
\(695\) | −0.863855 | + | 9.26721i | −0.0327679 | + | 0.351525i | ||||
\(696\) | −4.47789 | + | 3.25338i | −0.169734 | + | 0.123319i | ||||
\(697\) | 18.4995 | − | 2.93003i | 0.700719 | − | 0.110983i | ||||
\(698\) | 3.29735 | − | 6.47142i | 0.124807 | − | 0.244947i | ||||
\(699\) | −1.55559 | − | 4.78761i | −0.0588378 | − | 0.181084i | ||||
\(700\) | 21.2073 | − | 14.4932i | 0.801561 | − | 0.547793i | ||||
\(701\) | −15.6038 | − | 21.4768i | −0.589348 | − | 0.811169i | 0.405333 | − | 0.914169i | \(-0.367156\pi\) |
−0.994681 | + | 0.103001i | \(0.967156\pi\) | |||||||
\(702\) | 3.47577 | + | 6.82157i | 0.131184 | + | 0.257464i | ||||
\(703\) | 3.37197 | − | 3.37197i | 0.127176 | − | 0.127176i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −9.15124 | + | 2.05804i | −0.344655 | + | 0.0775102i | ||||
\(706\) | −1.17180 | − | 0.380741i | −0.0441012 | − | 0.0143294i | ||||
\(707\) | −0.871000 | + | 5.49928i | −0.0327573 | + | 0.206822i | ||||
\(708\) | −0.504006 | − | 3.18217i | −0.0189417 | − | 0.119593i | ||||
\(709\) | 16.9867 | − | 5.51933i | 0.637950 | − | 0.207283i | 0.0278567 | − | 0.999612i | \(-0.491132\pi\) |
0.610094 | + | 0.792329i | \(0.291132\pi\) | |||||||
\(710\) | −0.776275 | + | 3.03979i | −0.0291331 | + | 0.114081i | ||||
\(711\) | 15.2508 | − | 20.9909i | 0.571950 | − | 0.787222i | ||||
\(712\) | 20.2703 | + | 3.21050i | 0.759662 | + | 0.120319i | ||||
\(713\) | 18.0105 | − | 9.17683i | 0.674500 | − | 0.343675i | ||||
\(714\) | 8.54844 | 0.319917 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −3.92246 | −0.146589 | ||||||||
\(717\) | 10.6115 | − | 5.40685i | 0.396295 | − | 0.201923i | ||||
\(718\) | −4.09591 | − | 0.648729i | −0.152858 | − | 0.0242103i | ||||
\(719\) | −19.2585 | + | 26.5071i | −0.718222 | + | 0.988547i | 0.281359 | + | 0.959603i | \(0.409215\pi\) |
−0.999581 | + | 0.0289450i | \(0.990785\pi\) | |||||||
\(720\) | 8.59495 | − | 5.09814i | 0.320315 | − | 0.189996i | ||||
\(721\) | −17.1172 | + | 5.56173i | −0.637479 | + | 0.207130i | ||||
\(722\) | −0.167699 | − | 1.05881i | −0.00624111 | − | 0.0394048i | ||||
\(723\) | −4.96527 | + | 31.3495i | −0.184660 | + | 1.16590i | ||||
\(724\) | −7.26202 | − | 2.35957i | −0.269891 | − | 0.0876929i | ||||
\(725\) | 11.9501 | − | 5.66127i | 0.443814 | − | 0.210254i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 0.964903 | − | 0.964903i | 0.0357863 | − | 0.0357863i | −0.688987 | − | 0.724773i | \(-0.741944\pi\) |
0.724773 | + | 0.688987i | \(0.241944\pi\) | |||||||
\(728\) | 7.11758 | + | 13.9690i | 0.263795 | + | 0.517727i | ||||
\(729\) | 11.7614 | + | 16.1882i | 0.435609 | + | 0.599564i | ||||
\(730\) | 14.8421 | + | 6.39984i | 0.549330 | + | 0.236869i | ||||
\(731\) | −11.6791 | − | 35.9446i | −0.431968 | − | 1.32946i | ||||
\(732\) | −6.32174 | + | 12.4071i | −0.233658 | + | 0.458580i | ||||
\(733\) | −11.6481 | + | 1.84488i | −0.430233 | + | 0.0681422i | −0.367796 | − | 0.929907i | \(-0.619887\pi\) |
−0.0624374 | + | 0.998049i | \(0.519887\pi\) | |||||||
\(734\) | 8.38724 | − | 6.09369i | 0.309579 | − | 0.224922i | ||||
\(735\) | 2.44865 | + | 2.95208i | 0.0903198 | + | 0.108889i | ||||
\(736\) | − | 14.8626i | − | 0.547842i | ||||||
\(737\) | 0 | 0 | ||||||||
\(738\) | −2.08937 | − | 2.08937i | −0.0769107 | − | 0.0769107i | ||||
\(739\) | 13.3170 | − | 40.9856i | 0.489875 | − | 1.50768i | −0.334919 | − | 0.942247i | \(-0.608709\pi\) |
0.824794 | − | 0.565434i | \(-0.191291\pi\) | |||||||
\(740\) | −4.57259 | + | 0.293652i | −0.168092 | + | 0.0107949i | ||||
\(741\) | −11.0583 | − | 8.03430i | −0.406235 | − | 0.295147i | ||||
\(742\) | −1.87521 | − | 0.955467i | −0.0688411 | − | 0.0350763i | ||||
\(743\) | −33.7816 | − | 17.2126i | −1.23933 | − | 0.631468i | −0.293443 | − | 0.955977i | \(-0.594801\pi\) |
−0.945883 | + | 0.324509i | \(0.894801\pi\) | |||||||
\(744\) | 11.4131 | + | 8.29213i | 0.418426 | + | 0.304004i | ||||
\(745\) | 26.5447 | − | 30.1881i | 0.972522 | − | 1.10601i | ||||
\(746\) | 0.549420 | − | 1.69094i | 0.0201157 | − | 0.0619098i | ||||
\(747\) | 8.04189 | + | 8.04189i | 0.294237 | + | 0.294237i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 1.27018i | 0.0464114i | ||||||||
\(750\) | −5.84467 | + | 2.13000i | −0.213417 | + | 0.0777765i | ||||
\(751\) | −28.2437 | + | 20.5203i | −1.03063 | + | 0.748795i | −0.968434 | − | 0.249269i | \(-0.919810\pi\) |
−0.0621941 | + | 0.998064i | \(0.519810\pi\) | |||||||
\(752\) | −9.54914 | + | 1.51244i | −0.348221 | + | 0.0551528i | ||||
\(753\) | −5.14480 | + | 10.0972i | −0.187487 | + | 0.367964i | ||||
\(754\) | 1.16795 | + | 3.59457i | 0.0425341 | + | 0.130907i | ||||
\(755\) | 15.7528 | − | 36.5329i | 0.573305 | − | 1.32957i | ||||
\(756\) | 16.1766 | + | 22.2652i | 0.588337 | + | 0.809777i | ||||
\(757\) | 15.6517 | + | 30.7182i | 0.568870 | + | 1.11647i | 0.978889 | + | 0.204393i | \(0.0655221\pi\) |
−0.410019 | + | 0.912077i | \(0.634478\pi\) | |||||||
\(758\) | −5.72618 | + | 5.72618i | −0.207984 | + | 0.207984i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 9.00370 | − | 14.2284i | 0.326598 | − | 0.516119i | ||||
\(761\) | 13.2335 | + | 4.29984i | 0.479716 | + | 0.155869i | 0.538886 | − | 0.842379i | \(-0.318845\pi\) |
−0.0591701 | + | 0.998248i | \(0.518845\pi\) | |||||||
\(762\) | −0.820754 | + | 5.18204i | −0.0297328 | + | 0.187725i | ||||
\(763\) | −4.31898 | − | 27.2690i | −0.156358 | − | 0.987203i | ||||
\(764\) | −6.83155 | + | 2.21970i | −0.247157 | + | 0.0803061i | ||||
\(765\) | −19.4242 | − | 4.96038i | −0.702284 | − | 0.179343i | ||||
\(766\) | 3.25512 | − | 4.48028i | 0.117612 | − | 0.161879i | ||||
\(767\) | −4.64006 | − | 0.734913i | −0.167543 | − | 0.0265362i | ||||
\(768\) | −0.149794 | + | 0.0763239i | −0.00540523 | + | 0.00275410i | ||||
\(769\) | 13.3273 | 0.480596 | 0.240298 | − | 0.970699i | \(-0.422755\pi\) | ||||
0.240298 | + | 0.970699i | \(0.422755\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −4.83143 | −0.174000 | ||||||||
\(772\) | 32.8043 | − | 16.7146i | 1.18065 | − | 0.601573i | ||||
\(773\) | −12.3457 | − | 1.95537i | −0.444045 | − | 0.0703298i | −0.0695917 | − | 0.997576i | \(-0.522170\pi\) |
−0.374453 | + | 0.927246i | \(0.622170\pi\) | |||||||
\(774\) | −3.50458 | + | 4.82364i | −0.125970 | + | 0.173382i | ||||
\(775\) | −23.1352 | − | 24.5084i | −0.831040 | − | 0.880369i | ||||
\(776\) | −17.5895 | + | 5.71518i | −0.631427 | + | 0.205163i | ||||
\(777\) | −0.604680 | − | 3.81780i | −0.0216928 | − | 0.136963i | ||||
\(778\) | −0.0624567 | + | 0.394336i | −0.00223918 | + | 0.0141376i | ||||
\(779\) | 13.8614 | + | 4.50386i | 0.496638 | + | 0.161367i | ||||
\(780\) | 2.88168 | + | 12.8136i | 0.103181 | + | 0.458802i | ||||
\(781\) | 0 | 0 | ||||||||
\(782\) | −5.45516 | + | 5.45516i | −0.195076 | + | 0.195076i | ||||
\(783\) | 6.43199 | + | 12.6235i | 0.229861 | + | 0.451127i | ||||
\(784\) | 2.32373 | + | 3.19834i | 0.0829904 | + | 0.114227i | ||||
\(785\) | −44.6033 | + | 17.7268i | −1.59196 | + | 0.632697i | ||||
\(786\) | 1.29240 | + | 3.97760i | 0.0460984 | + | 0.141876i | ||||
\(787\) | 2.85686 | − | 5.60690i | 0.101836 | − | 0.199864i | −0.834467 | − | 0.551058i | \(-0.814224\pi\) |
0.936303 | + | 0.351194i | \(0.114224\pi\) | |||||||
\(788\) | 0.526011 | − | 0.0833119i | 0.0187384 | − | 0.00296786i | ||||
\(789\) | −21.0956 | + | 15.3269i | −0.751024 | + | 0.545651i | ||||
\(790\) | −12.8136 | + | 10.6284i | −0.455888 | + | 0.378142i | ||||
\(791\) | 59.1055i | 2.10155i | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 14.3574 | + | 14.3574i | 0.509846 | + | 0.509846i | ||||
\(794\) | −2.52901 | + | 7.78350i | −0.0897512 | + | 0.276226i | ||||
\(795\) | −2.82727 | − | 2.48605i | −0.100273 | − | 0.0881711i | ||||
\(796\) | 15.7923 | + | 11.4738i | 0.559744 | + | 0.406678i | ||||
\(797\) | 1.57581 | + | 0.802918i | 0.0558182 | + | 0.0284408i | 0.481677 | − | 0.876349i | \(-0.340028\pi\) |
−0.425859 | + | 0.904790i | \(0.640028\pi\) | |||||||
\(798\) | 5.92693 | + | 3.01992i | 0.209811 | + | 0.106904i | ||||
\(799\) | 15.6913 | + | 11.4004i | 0.555118 | + | 0.403317i | ||||
\(800\) | −23.7789 | + | 6.97552i | −0.840712 | + | 0.246622i | ||||
\(801\) | 5.87569 | − | 18.0835i | 0.207607 | − | 0.638950i | ||||
\(802\) | 9.82669 | + | 9.82669i | 0.346992 | + | 0.346992i | ||||
\(803\) | 0 | 0 | ||||||||
\(804\) | 3.73160i | 0.131603i | ||||||||
\(805\) | −19.4716 | − | 1.81507i | −0.686283 | − | 0.0639727i | ||||
\(806\) | 7.79346 | − | 5.66228i | 0.274513 | − | 0.199445i | ||||
\(807\) | −25.7381 | + | 4.07651i | −0.906023 | + | 0.143500i | ||||
\(808\) | 1.59210 | − | 3.12466i | 0.0560097 | − | 0.109925i | ||||
\(809\) | 5.70252 | + | 17.5505i | 0.200490 | + | 0.617044i | 0.999869 | + | 0.0162167i | \(0.00516216\pi\) |
−0.799379 | + | 0.600828i | \(0.794838\pi\) | |||||||
\(810\) | −0.402542 | − | 1.01286i | −0.0141439 | − | 0.0355882i | ||||
\(811\) | −7.66716 | − | 10.5529i | −0.269230 | − | 0.370564i | 0.652899 | − | 0.757445i | \(-0.273552\pi\) |
−0.922130 | + | 0.386881i | \(0.873552\pi\) | |||||||
\(812\) | 6.16811 | + | 12.1056i | 0.216458 | + | 0.424823i | ||||
\(813\) | −1.12013 | + | 1.12013i | −0.0392847 | + | 0.0392847i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −19.6984 | − | 12.4651i | −0.690004 | − | 0.436633i | ||||
\(816\) | 14.9906 | + | 4.87075i | 0.524777 | + | 0.170510i | ||||
\(817\) | 4.60068 | − | 29.0476i | 0.160957 | − | 1.01625i | ||||
\(818\) | −0.185075 | − | 1.16852i | −0.00647099 | − | 0.0408562i | ||||
\(819\) | 13.8143 | − | 4.48853i | 0.482710 | − | 0.156842i | ||||
\(820\) | −7.14440 | − | 12.0448i | −0.249493 | − | 0.420621i | ||||
\(821\) | −15.3089 | + | 21.0709i | −0.534283 | + | 0.735378i | −0.987776 | − | 0.155882i | \(-0.950178\pi\) |
0.453492 | + | 0.891260i | \(0.350178\pi\) | |||||||
\(822\) | −8.44614 | − | 1.33774i | −0.294593 | − | 0.0466590i | ||||
\(823\) | −4.47662 | + | 2.28095i | −0.156045 | + | 0.0795089i | −0.530269 | − | 0.847829i | \(-0.677909\pi\) |
0.374224 | + | 0.927338i | \(0.377909\pi\) | |||||||
\(824\) | 11.3361 | 0.394912 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 2.28625 | 0.0795488 | ||||||||
\(827\) | 10.8443 | − | 5.52543i | 0.377092 | − | 0.192138i | −0.255164 | − | 0.966898i | \(-0.582129\pi\) |
0.632255 | + | 0.774760i | \(0.282129\pi\) | |||||||
\(828\) | −8.87927 | − | 1.40634i | −0.308576 | − | 0.0488736i | ||||
\(829\) | 6.47245 | − | 8.90857i | 0.224798 | − | 0.309407i | −0.681689 | − | 0.731642i | \(-0.738754\pi\) |
0.906487 | + | 0.422235i | \(0.138754\pi\) | |||||||
\(830\) | −3.72275 | − | 6.27619i | −0.129219 | − | 0.217850i | ||||
\(831\) | −15.4475 | + | 5.01921i | −0.535869 | + | 0.174114i | ||||
\(832\) | 1.29639 | + | 8.18508i | 0.0449442 | + | 0.283766i | ||||
\(833\) | 1.24067 | − | 7.83329i | 0.0429867 | − | 0.271407i | ||||
\(834\) | 2.20259 | + | 0.715663i | 0.0762693 | + | 0.0247814i | ||||
\(835\) | 21.3382 | + | 13.5028i | 0.738440 | + | 0.467283i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 25.5338 | − | 25.5338i | 0.882578 | − | 0.882578i | ||||
\(838\) | −3.64414 | − | 7.15202i | −0.125885 | − | 0.247062i | ||||
\(839\) | −5.46148 | − | 7.51708i | −0.188551 | − | 0.259518i | 0.704268 | − | 0.709935i | \(-0.251276\pi\) |
−0.892819 | + | 0.450416i | \(0.851276\pi\) | |||||||
\(840\) | −5.04080 | − | 12.6834i | −0.173924 | − | 0.437619i | ||||
\(841\) | −6.80018 | − | 20.9288i | −0.234489 | − | 0.721683i | ||||
\(842\) | −2.76426 | + | 5.42516i | −0.0952626 | + | 0.186963i | ||||
\(843\) | −28.5573 | + | 4.52303i | −0.983566 | + | 0.155782i | ||||
\(844\) | −12.6200 | + | 9.16895i | −0.434397 | + | 0.315608i | ||||
\(845\) | −9.87528 | − | 0.920536i | −0.339720 | − | 0.0316674i | ||||
\(846\) | − | 3.05979i | − | 0.105198i | ||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | −2.74398 | − | 2.74398i | −0.0942286 | − | 0.0942286i | ||||
\(849\) | −2.60918 | + | 8.03024i | −0.0895469 | + | 0.275597i | ||||
\(850\) | 11.2881 | + | 6.16752i | 0.387179 | + | 0.211544i | ||||
\(851\) | 2.82219 | + | 2.05044i | 0.0967435 | + | 0.0702882i | ||||
\(852\) | −5.13791 | − | 2.61790i | −0.176022 | − | 0.0896877i | ||||
\(853\) | 24.0984 | + | 12.2787i | 0.825113 | + | 0.420416i | 0.814949 | − | 0.579532i | \(-0.196765\pi\) |
0.0101637 | + | 0.999948i | \(0.496765\pi\) | |||||||
\(854\) | −7.99407 | − | 5.80803i | −0.273551 | − | 0.198747i | ||||
\(855\) | −11.7151 | − | 10.3012i | −0.400649 | − | 0.352295i | ||||
\(856\) | 0.247221 | − | 0.760867i | 0.00844983 | − | 0.0260059i | ||||
\(857\) | −33.1497 | − | 33.1497i | −1.13237 | − | 1.13237i | −0.989782 | − | 0.142591i | \(-0.954457\pi\) |
−0.142591 | − | 0.989782i | \(-0.545543\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 47.2517i | 1.61221i | 0.591775 | + | 0.806103i | \(0.298427\pi\) | ||||
−0.591775 | + | 0.806103i | \(0.701573\pi\) | |||||||
\(860\) | −21.7500 | + | 18.0408i | −0.741669 | + | 0.615188i | ||||
\(861\) | 9.55771 | − | 6.94409i | 0.325726 | − | 0.236654i | ||||
\(862\) | −9.56706 | + | 1.51527i | −0.325855 | + | 0.0516104i | ||||
\(863\) | 7.06437 | − | 13.8646i | 0.240474 | − | 0.471957i | −0.738953 | − | 0.673757i | \(-0.764679\pi\) |
0.979427 | + | 0.201801i | \(0.0646793\pi\) | |||||||
\(864\) | −8.20467 | − | 25.2514i | −0.279129 | − | 0.859070i | ||||
\(865\) | −27.4338 | + | 10.9031i | −0.932777 | + | 0.370716i | ||||
\(866\) | −8.21659 | − | 11.3092i | −0.279211 | − | 0.384301i | ||||
\(867\) | −5.56205 | − | 10.9161i | −0.188897 | − | 0.370732i | ||||
\(868\) | 24.4863 | − | 24.4863i | 0.831118 | − | 0.831118i | ||||
\(869\) | 0 | 0 | ||||||||
\(870\) | −0.721933 | − | 3.21013i | −0.0244758 | − | 0.108834i | ||||
\(871\) | 5.17490 | + | 1.68143i | 0.175345 | + | 0.0569729i | ||||
\(872\) | −2.72031 | + | 17.1753i | −0.0921212 | + | 0.581630i | ||||
\(873\) | 2.68050 | + | 16.9240i | 0.0907213 | + | 0.572792i | ||||
\(874\) | −5.70941 | + | 1.85510i | −0.193124 | + | 0.0627496i | ||||
\(875\) | 6.23472 | + | 32.0049i | 0.210772 | + | 1.08196i | ||||
\(876\) | −17.4617 | + | 24.0340i | −0.589976 | + | 0.812032i | ||||
\(877\) | −28.7727 | − | 4.55715i | −0.971586 | − | 0.153884i | −0.349588 | − | 0.936903i | \(-0.613679\pi\) |
−0.621997 | + | 0.783019i | \(0.713679\pi\) | |||||||
\(878\) | −1.35877 | + | 0.692328i | −0.0458563 | + | 0.0233650i | ||||
\(879\) | −16.7229 | −0.564048 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 4.18815 | 0.141102 | 0.0705512 | − | 0.997508i | \(-0.477524\pi\) | ||||
0.0705512 | + | 0.997508i | \(0.477524\pi\) | |||||||
\(882\) | −1.11479 | + | 0.568016i | −0.0375371 | + | 0.0191261i | ||||
\(883\) | 45.1550 | + | 7.15185i | 1.51959 | + | 0.240679i | 0.859744 | − | 0.510725i | \(-0.170623\pi\) |
0.659843 | + | 0.751404i | \(0.270623\pi\) | |||||||
\(884\) | 15.9629 | − | 21.9711i | 0.536892 | − | 0.738968i | ||||
\(885\) | 3.96261 | + | 1.01193i | 0.133202 | + | 0.0340158i | ||||
\(886\) | 14.7403 | − | 4.78942i | 0.495211 | − | 0.160904i | ||||
\(887\) | 5.39049 | + | 34.0342i | 0.180995 | + | 1.14276i | 0.896137 | + | 0.443777i | \(0.146362\pi\) |
−0.715142 | + | 0.698979i | \(0.753638\pi\) | |||||||
\(888\) | −0.380858 | + | 2.40464i | −0.0127807 | + | 0.0806945i | ||||
\(889\) | 26.1549 | + | 8.49823i | 0.877206 | + | 0.285021i | ||||
\(890\) | −6.52371 | + | 10.3093i | −0.218675 | + | 0.345569i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 7.70048 | − | 7.70048i | 0.257831 | − | 0.257831i | ||||
\(893\) | 6.85189 | + | 13.4476i | 0.229290 | + | 0.450006i | ||||
\(894\) | −5.87936 | − | 8.09224i | −0.196635 | − | 0.270645i | ||||
\(895\) | 1.97151 | − | 4.57220i | 0.0659004 | − | 0.152832i | ||||
\(896\) | −10.1795 | − | 31.3293i | −0.340073 | − | 1.04664i | ||||
\(897\) | 4.53947 | − | 8.90922i | 0.151569 | − | 0.297470i | ||||
\(898\) | −16.8789 | + | 2.67335i | −0.563255 | + | 0.0892108i | ||||
\(899\) | 14.4220 | − | 10.4782i | 0.481001 | − | 0.349467i | ||||
\(900\) | 1.91732 | + | 14.8662i | 0.0639106 | + | 0.495539i | ||||
\(901\) | 7.78489i | 0.259352i | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −16.8566 | − | 16.8566i | −0.560951 | − | 0.560951i | ||||
\(904\) | 11.5039 | − | 35.4055i | 0.382616 | − | 1.17757i | ||||
\(905\) | 6.40048 | − | 7.27897i | 0.212759 | − | 0.241961i | ||||
\(906\) | −8.00885 | − | 5.81877i | −0.266076 | − | 0.193316i | ||||
\(907\) | −34.3152 | − | 17.4845i | −1.13942 | − | 0.580563i | −0.220648 | − | 0.975354i | \(-0.570817\pi\) |
−0.918771 | + | 0.394791i | \(0.870817\pi\) | |||||||
\(908\) | −5.20568 | − | 2.65243i | −0.172757 | − | 0.0880239i | ||||
\(909\) | −2.62855 | − | 1.90976i | −0.0871836 | − | 0.0633426i | ||||
\(910\) | −9.30064 | + | 0.597288i | −0.308313 | + | 0.0197999i | ||||
\(911\) | −11.3933 | + | 35.0649i | −0.377476 | + | 1.16175i | 0.564317 | + | 0.825558i | \(0.309139\pi\) |
−0.941793 | + | 0.336193i | \(0.890861\pi\) | |||||||
\(912\) | 8.67283 | + | 8.67283i | 0.287186 | + | 0.287186i | ||||
\(913\) | 0 | 0 | ||||||||
\(914\) | 2.49056i | 0.0823805i | ||||||||
\(915\) | −11.2849 | − | 13.6050i | −0.373066 | − | 0.449767i | ||||
\(916\) | 7.61001 | − | 5.52900i | 0.251442 | − | 0.182683i | ||||
\(917\) | 21.6521 | − | 3.42935i | 0.715015 | − | 0.113247i | ||||
\(918\) | −6.25682 | + | 12.2797i | −0.206506 | + | 0.405291i | ||||
\(919\) | 9.39535 | + | 28.9159i | 0.309924 | + | 0.953848i | 0.977794 | + | 0.209570i | \(0.0672063\pi\) |
−0.667870 | + | 0.744278i | \(0.732794\pi\) | |||||||
\(920\) | 11.3106 | + | 4.87710i | 0.372901 | + | 0.160793i | ||||
\(921\) | 0.828668 | + | 1.14056i | 0.0273056 | + | 0.0375829i | ||||
\(922\) | −2.76469 | − | 5.42601i | −0.0910502 | − | 0.178696i | ||||
\(923\) | −5.94554 | + | 5.94554i | −0.195700 | + | 0.195700i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 1.95599 | − | 5.47762i | 0.0643126 | − | 0.180103i | ||||
\(926\) | 12.6587 | + | 4.11306i | 0.415990 | + | 0.135163i | ||||
\(927\) | 1.64298 | − | 10.3734i | 0.0539626 | − | 0.340707i | ||||
\(928\) | −2.05045 | − | 12.9460i | −0.0673092 | − | 0.424974i | ||||
\(929\) | −22.1568 | + | 7.19917i | −0.726940 | + | 0.236197i | −0.649029 | − | 0.760763i | \(-0.724825\pi\) |
−0.0779103 | + | 0.996960i | \(0.524825\pi\) | |||||||
\(930\) | −7.21286 | + | 4.27834i | −0.236519 | + | 0.140292i | ||||
\(931\) | 3.62748 | − | 4.99280i | 0.118886 | − | 0.163632i | ||||
\(932\) | 7.68704 | + | 1.21751i | 0.251797 | + | 0.0398808i | ||||
\(933\) | −14.3616 | + | 7.31760i | −0.470177 | + | 0.239567i | ||||
\(934\) | −19.3837 | −0.634254 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −9.14869 | −0.299034 | ||||||||
\(937\) | 7.16683 | − | 3.65168i | 0.234130 | − | 0.119295i | −0.332990 | − | 0.942930i | \(-0.608058\pi\) |
0.567120 | + | 0.823635i | \(0.308058\pi\) | |||||||
\(938\) | −2.61538 | − | 0.414236i | −0.0853953 | − | 0.0135253i | ||||
\(939\) | 0.495342 | − | 0.681780i | 0.0161649 | − | 0.0222491i | ||||
\(940\) | 3.58817 | − | 14.0508i | 0.117033 | − | 0.458288i | ||||
\(941\) | −45.5460 | + | 14.7988i | −1.48476 | + | 0.482427i | −0.935531 | − | 0.353245i | \(-0.885078\pi\) |
−0.549228 | + | 0.835673i | \(0.685078\pi\) | |||||||
\(942\) | 1.86829 | + | 11.7959i | 0.0608721 | + | 0.384331i | ||||
\(943\) | −1.66788 | + | 10.5306i | −0.0543136 | + | 0.342922i | ||||
\(944\) | 4.00919 | + | 1.30266i | 0.130488 | + | 0.0423981i | ||||
\(945\) | −34.0840 | + | 7.66523i | −1.10875 | + | 0.249350i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 9.38618 | − | 9.38618i | 0.305010 | − | 0.305010i | −0.537960 | − | 0.842970i | \(-0.680805\pi\) |
0.842970 | + | 0.537960i | \(0.180805\pi\) | |||||||
\(948\) | −13.8915 | − | 27.2636i | −0.451175 | − | 0.885481i | ||||
\(949\) | 25.4617 | + | 35.0450i | 0.826521 | + | 1.13761i | ||||
\(950\) | 5.64763 | + | 8.26393i | 0.183233 | + | 0.268117i | ||||
\(951\) | −6.00866 | − | 18.4928i | −0.194844 | − | 0.599669i | ||||
\(952\) | −12.8126 | + | 25.1461i | −0.415257 | + | 0.814989i | ||||
\(953\) | 52.5908 | − | 8.32956i | 1.70358 | − | 0.269821i | 0.772602 | − | 0.634890i | \(-0.218955\pi\) |
0.930980 | + | 0.365069i | \(0.118955\pi\) | |||||||
\(954\) | 0.993573 | − | 0.721873i | 0.0321681 | − | 0.0233715i | ||||
\(955\) | 0.846295 | − | 9.07884i | 0.0273855 | − | 0.293784i | ||||
\(956\) | 18.4130i | 0.595519i | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 13.2098 | + | 13.2098i | 0.426790 | + | 0.426790i | ||||
\(959\) | −13.8512 | + | 42.6295i | −0.447277 | + | 1.37658i | ||||
\(960\) | −0.462355 | − | 7.19954i | −0.0149224 | − | 0.232364i | ||||
\(961\) | −11.6790 | − | 8.48526i | −0.376741 | − | 0.273718i | ||||
\(962\) | 1.48128 | + | 0.754749i | 0.0477583 | + | 0.0243341i | ||||
\(963\) | −0.660420 | − | 0.336501i | −0.0212817 | − | 0.0108436i | ||||
\(964\) | −39.7004 | − | 28.8440i | −1.27866 | − | 0.929004i | ||||
\(965\) | 2.99519 | + | 46.6394i | 0.0964184 | + | 1.50138i | ||||
\(966\) | −1.50370 | + | 4.62791i | −0.0483807 | + | 0.148901i | ||||
\(967\) | 38.6475 | + | 38.6475i | 1.24282 | + | 1.24282i | 0.958826 | + | 0.283994i | \(0.0916596\pi\) |
0.283994 | + | 0.958826i | \(0.408340\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | − | 24.6055i | − | 0.790443i | ||||||
\(970\) | 1.02043 | − | 10.9469i | 0.0327639 | − | 0.351483i | ||||
\(971\) | −6.69055 | + | 4.86097i | −0.214710 | + | 0.155996i | −0.689942 | − | 0.723865i | \(-0.742364\pi\) |
0.475232 | + | 0.879860i | \(0.342364\pi\) | |||||||
\(972\) | −25.9829 | + | 4.11529i | −0.833403 | + | 0.131998i | ||||
\(973\) | 5.51110 | − | 10.8161i | 0.176678 | − | 0.346750i | ||||
\(974\) | −4.10149 | − | 12.6231i | −0.131420 | − | 0.404470i | ||||
\(975\) | −16.3846 | − | 3.08139i | −0.524726 | − | 0.0986835i | ||||
\(976\) | −10.7092 | − | 14.7399i | −0.342792 | − | 0.471813i | ||||
\(977\) | −24.8581 | − | 48.7867i | −0.795280 | − | 1.56083i | −0.827580 | − | 0.561348i | \(-0.810283\pi\) |
0.0322997 | − | 0.999478i | \(-0.489717\pi\) | |||||||
\(978\) | −4.10153 | + | 4.10153i | −0.131152 | + | 0.131152i | ||||
\(979\) | 0 | 0 | ||||||||
\(980\) | −5.78535 | + | 1.30108i | −0.184806 | + | 0.0415614i | ||||
\(981\) | 15.3225 | + | 4.97857i | 0.489208 | + | 0.158953i | ||||
\(982\) | −0.303424 | + | 1.91574i | −0.00968265 | + | 0.0611338i | ||||
\(983\) | −2.13363 | − | 13.4712i | −0.0680521 | − | 0.429664i | −0.998067 | − | 0.0621429i | \(-0.980207\pi\) |
0.930015 | − | 0.367521i | \(-0.119793\pi\) | |||||||
\(984\) | −7.07684 | + | 2.29941i | −0.225602 | + | 0.0733024i | ||||
\(985\) | −0.167272 | + | 0.655017i | −0.00532974 | + | 0.0208706i | ||||
\(986\) | −3.99911 | + | 5.50430i | −0.127357 | + | 0.175293i | ||||
\(987\) | 12.0831 | + | 1.91377i | 0.384608 | + | 0.0609160i | ||||
\(988\) | 18.8294 | − | 9.59407i | 0.599044 | − | 0.305228i | ||||
\(989\) | 21.5139 | 0.684102 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 6.43457 | 0.204401 | 0.102200 | − | 0.994764i | \(-0.467412\pi\) | ||||
0.102200 | + | 0.994764i | \(0.467412\pi\) | |||||||
\(992\) | −29.7666 | + | 15.1668i | −0.945090 | + | 0.481547i | ||||
\(993\) | −16.7887 | − | 2.65908i | −0.532775 | − | 0.0843832i | ||||
\(994\) | 2.40517 | − | 3.31043i | 0.0762872 | − | 0.105000i | ||||
\(995\) | −21.3120 | + | 12.6413i | −0.675635 | + | 0.400756i | ||||
\(996\) | 12.7558 | − | 4.14461i | 0.404183 | − | 0.131327i | ||||
\(997\) | 3.32838 | + | 21.0146i | 0.105411 | + | 0.665538i | 0.982648 | + | 0.185481i | \(0.0593842\pi\) |
−0.877237 | + | 0.480058i | \(0.840616\pi\) | |||||||
\(998\) | 0.490831 | − | 3.09899i | 0.0155370 | − | 0.0980967i | ||||
\(999\) | 5.92680 | + | 1.92573i | 0.187516 | + | 0.0609275i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))