Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [648,2,Mod(11,648)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(648, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([27, 27, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("648.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 648 = 2^{3} \cdot 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 648.bb (of order \(54\), degree \(18\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.17430605098\) |
Analytic rank: | \(0\) |
Dimension: | \(1872\) |
Relative dimension: | \(104\) over \(\Q(\zeta_{54})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{54}]$ |
Embedding invariants
Embedding label | 155.46 | ||
Character | \(\chi\) | \(=\) | 648.155 |
Dual form | 648.2.bb.b.347.46 |
$q$-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 \(\left(\mathbb{Z}/648\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(487\) | \(569\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{43}{54}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.286215 | − | 1.38495i | −0.202384 | − | 0.979306i | ||||
\(3\) | −1.72723 | + | 0.129091i | −0.997219 | + | 0.0745309i | ||||
\(4\) | −1.83616 | + | 0.792785i | −0.918081 | + | 0.396393i | ||||
\(5\) | 1.37235 | − | 0.902608i | 0.613733 | − | 0.403658i | −0.204235 | − | 0.978922i | \(-0.565471\pi\) |
0.817968 | + | 0.575263i | \(0.195100\pi\) | |||||||
\(6\) | 0.673145 | + | 2.35518i | 0.274810 | + | 0.961499i | ||||
\(7\) | −1.37945 | − | 1.30144i | −0.521381 | − | 0.491898i | 0.379963 | − | 0.925002i | \(-0.375937\pi\) |
−0.901344 | + | 0.433104i | \(0.857418\pi\) | |||||||
\(8\) | 1.62350 | + | 2.31608i | 0.573995 | + | 0.818859i | ||||
\(9\) | 2.96667 | − | 0.445942i | 0.988890 | − | 0.148647i | ||||
\(10\) | −1.64285 | − | 1.64229i | −0.519515 | − | 0.519338i | ||||
\(11\) | 0.176324 | + | 0.351090i | 0.0531636 | + | 0.105858i | 0.918646 | − | 0.395083i | \(-0.129284\pi\) |
−0.865482 | + | 0.500940i | \(0.832988\pi\) | |||||||
\(12\) | 3.06914 | − | 1.60636i | 0.885984 | − | 0.463716i | ||||
\(13\) | 4.46566 | − | 1.92630i | 1.23855 | − | 0.534259i | 0.326836 | − | 0.945081i | \(-0.394018\pi\) |
0.911715 | + | 0.410823i | \(0.134758\pi\) | |||||||
\(14\) | −1.40761 | + | 2.28295i | −0.376199 | + | 0.610145i | ||||
\(15\) | −2.25385 | + | 1.73617i | −0.581941 | + | 0.448278i | ||||
\(16\) | 2.74298 | − | 2.91136i | 0.685746 | − | 0.727841i | ||||
\(17\) | −2.12016 | − | 2.52671i | −0.514215 | − | 0.612817i | 0.444988 | − | 0.895537i | \(-0.353208\pi\) |
−0.959203 | + | 0.282719i | \(0.908763\pi\) | |||||||
\(18\) | −1.46671 | − | 3.98105i | −0.345707 | − | 0.938342i | ||||
\(19\) | −1.51407 | − | 1.27046i | −0.347352 | − | 0.291463i | 0.452374 | − | 0.891829i | \(-0.350577\pi\) |
−0.799726 | + | 0.600365i | \(0.795022\pi\) | |||||||
\(20\) | −1.80428 | + | 2.74531i | −0.403449 | + | 0.613870i | ||||
\(21\) | 2.55063 | + | 2.06982i | 0.556593 | + | 0.451671i | ||||
\(22\) | 0.435774 | − | 0.344686i | 0.0929074 | − | 0.0734874i | ||||
\(23\) | −0.553115 | − | 0.586268i | −0.115333 | − | 0.122245i | 0.667135 | − | 0.744937i | \(-0.267521\pi\) |
−0.782467 | + | 0.622692i | \(0.786039\pi\) | |||||||
\(24\) | −3.10316 | − | 3.79083i | −0.633429 | − | 0.773801i | ||||
\(25\) | −0.911759 | + | 2.11370i | −0.182352 | + | 0.422739i | ||||
\(26\) | −3.94596 | − | 5.63337i | −0.773866 | − | 1.10479i | ||||
\(27\) | −5.06657 | + | 1.15322i | −0.975061 | + | 0.221937i | ||||
\(28\) | 3.56465 | + | 1.29605i | 0.673655 | + | 0.244930i | ||||
\(29\) | −1.75252 | + | 0.204840i | −0.325435 | + | 0.0380379i | −0.277242 | − | 0.960800i | \(-0.589420\pi\) |
−0.0481931 | + | 0.998838i | \(0.515346\pi\) | |||||||
\(30\) | 3.04959 | + | 2.62454i | 0.556777 | + | 0.479174i | ||||
\(31\) | −2.11599 | − | 8.92807i | −0.380043 | − | 1.60353i | −0.741374 | − | 0.671092i | \(-0.765826\pi\) |
0.361331 | − | 0.932438i | \(-0.382323\pi\) | |||||||
\(32\) | −4.81717 | − | 2.96561i | −0.851564 | − | 0.524251i | ||||
\(33\) | −0.349875 | − | 0.583652i | −0.0609054 | − | 0.101601i | ||||
\(34\) | −2.89254 | + | 3.65950i | −0.496067 | + | 0.627598i | ||||
\(35\) | −3.06777 | − | 0.540931i | −0.518548 | − | 0.0914340i | ||||
\(36\) | −5.09375 | + | 3.17075i | −0.848959 | + | 0.528459i | ||||
\(37\) | 3.20621 | − | 0.565341i | 0.527097 | − | 0.0929415i | 0.0962341 | − | 0.995359i | \(-0.469320\pi\) |
0.430863 | + | 0.902417i | \(0.358209\pi\) | |||||||
\(38\) | −1.32617 | + | 2.46054i | −0.215133 | + | 0.399152i | ||||
\(39\) | −7.46457 | + | 3.90364i | −1.19529 | + | 0.625083i | ||||
\(40\) | 4.31853 | + | 1.71309i | 0.682819 | + | 0.270863i | ||||
\(41\) | −8.88519 | − | 6.61478i | −1.38763 | − | 1.03305i | −0.993480 | − | 0.114010i | \(-0.963630\pi\) |
−0.394153 | − | 0.919045i | \(-0.628962\pi\) | |||||||
\(42\) | 2.13656 | − | 4.12490i | 0.329678 | − | 0.636486i | ||||
\(43\) | −0.499838 | + | 8.58188i | −0.0762245 | + | 1.30872i | 0.715830 | + | 0.698275i | \(0.246049\pi\) |
−0.792055 | + | 0.610450i | \(0.790989\pi\) | |||||||
\(44\) | −0.602098 | − | 0.504871i | −0.0907697 | − | 0.0761121i | ||||
\(45\) | 3.66880 | − | 3.28973i | 0.546912 | − | 0.490404i | ||||
\(46\) | −0.653641 | + | 0.933835i | −0.0963741 | + | 0.137686i | ||||
\(47\) | −3.79499 | − | 0.899430i | −0.553557 | − | 0.131195i | −0.0556888 | − | 0.998448i | \(-0.517735\pi\) |
−0.497868 | + | 0.867253i | \(0.665884\pi\) | |||||||
\(48\) | −4.36194 | + | 5.38270i | −0.629592 | + | 0.776926i | ||||
\(49\) | −0.197889 | − | 3.39763i | −0.0282699 | − | 0.485375i | ||||
\(50\) | 3.18832 | + | 0.657768i | 0.450896 | + | 0.0930225i | ||||
\(51\) | 3.98819 | + | 4.09052i | 0.558458 | + | 0.572788i | ||||
\(52\) | −6.67253 | + | 7.07730i | −0.925314 | + | 0.981445i | ||||
\(53\) | −1.14382 | − | 1.98115i | −0.157116 | − | 0.272132i | 0.776712 | − | 0.629856i | \(-0.216886\pi\) |
−0.933827 | + | 0.357724i | \(0.883553\pi\) | |||||||
\(54\) | 3.04727 | + | 6.68686i | 0.414681 | + | 0.909967i | ||||
\(55\) | 0.558874 | + | 0.322666i | 0.0753586 | + | 0.0435083i | ||||
\(56\) | 0.774707 | − | 5.30780i | 0.103525 | − | 0.709285i | ||||
\(57\) | 2.77916 | + | 1.99892i | 0.368109 | + | 0.264764i | ||||
\(58\) | 0.785291 | + | 2.36852i | 0.103114 | + | 0.311002i | ||||
\(59\) | 2.78857 | − | 5.55250i | 0.363041 | − | 0.722874i | −0.635757 | − | 0.771889i | \(-0.719312\pi\) |
0.998798 | + | 0.0490152i | \(0.0156083\pi\) | |||||||
\(60\) | 2.76202 | − | 4.97471i | 0.356575 | − | 0.642233i | ||||
\(61\) | −6.81283 | + | 2.03963i | −0.872294 | + | 0.261148i | −0.691503 | − | 0.722374i | \(-0.743051\pi\) |
−0.180791 | + | 0.983522i | \(0.557866\pi\) | |||||||
\(62\) | −11.7593 | + | 5.48589i | −1.49343 | + | 0.696708i | ||||
\(63\) | −4.67273 | − | 3.24579i | −0.588708 | − | 0.408931i | ||||
\(64\) | −2.72847 | + | 7.52033i | −0.341059 | + | 0.940042i | ||||
\(65\) | 4.38975 | − | 6.67429i | 0.544481 | − | 0.827844i | ||||
\(66\) | −0.708188 | + | 0.651609i | −0.0871719 | + | 0.0802075i | ||||
\(67\) | 8.05630 | + | 0.941646i | 0.984233 | + | 0.115040i | 0.592958 | − | 0.805233i | \(-0.297960\pi\) |
0.391275 | + | 0.920274i | \(0.372034\pi\) | |||||||
\(68\) | 5.89610 | + | 2.95862i | 0.715007 | + | 0.358785i | ||||
\(69\) | 1.03104 | + | 0.941219i | 0.124123 | + | 0.113309i | ||||
\(70\) | 0.128881 | + | 4.40352i | 0.0154042 | + | 0.526322i | ||||
\(71\) | −12.9767 | − | 4.72312i | −1.54005 | − | 0.560531i | −0.573989 | − | 0.818863i | \(-0.694605\pi\) |
−0.966056 | + | 0.258332i | \(0.916827\pi\) | |||||||
\(72\) | 5.84924 | + | 6.14707i | 0.689339 | + | 0.724439i | ||||
\(73\) | −2.08493 | + | 0.758852i | −0.244022 | + | 0.0888169i | −0.461136 | − | 0.887329i | \(-0.652558\pi\) |
0.217114 | + | 0.976146i | \(0.430336\pi\) | |||||||
\(74\) | −1.70063 | − | 4.27862i | −0.197694 | − | 0.497380i | ||||
\(75\) | 1.30196 | − | 3.76855i | 0.150338 | − | 0.435154i | ||||
\(76\) | 3.78728 | + | 1.13243i | 0.434431 | + | 0.129899i | ||||
\(77\) | 0.213693 | − | 0.713784i | 0.0243526 | − | 0.0813432i | ||||
\(78\) | 7.54281 | + | 9.22076i | 0.854055 | + | 1.04405i | ||||
\(79\) | −6.45050 | + | 4.80222i | −0.725737 | + | 0.540292i | −0.895428 | − | 0.445206i | \(-0.853131\pi\) |
0.169691 | + | 0.985497i | \(0.445723\pi\) | |||||||
\(80\) | 1.13651 | − | 6.47125i | 0.127065 | − | 0.723507i | ||||
\(81\) | 8.60227 | − | 2.64593i | 0.955808 | − | 0.293992i | ||||
\(82\) | −6.61805 | + | 14.1988i | −0.730841 | + | 1.56799i | ||||
\(83\) | 10.1434 | − | 7.55148i | 1.11338 | − | 0.828883i | 0.126765 | − | 0.991933i | \(-0.459540\pi\) |
0.986618 | + | 0.163050i | \(0.0521331\pi\) | |||||||
\(84\) | −6.32429 | − | 1.77842i | −0.690037 | − | 0.194041i | ||||
\(85\) | −5.19023 | − | 1.55385i | −0.562959 | − | 0.168539i | ||||
\(86\) | 12.0285 | − | 1.76401i | 1.29707 | − | 0.190218i | ||||
\(87\) | 3.00057 | − | 0.580043i | 0.321695 | − | 0.0621871i | ||||
\(88\) | −0.526890 | + | 0.978376i | −0.0561667 | + | 0.104295i | ||||
\(89\) | 1.18769 | + | 3.26316i | 0.125895 | + | 0.345894i | 0.986588 | − | 0.163231i | \(-0.0521915\pi\) |
−0.860693 | + | 0.509125i | \(0.829969\pi\) | |||||||
\(90\) | −5.60617 | − | 4.13952i | −0.590942 | − | 0.436344i | ||||
\(91\) | −8.66709 | − | 3.15456i | −0.908558 | − | 0.330688i | ||||
\(92\) | 1.48039 | + | 0.637981i | 0.154342 | + | 0.0665142i | ||||
\(93\) | 4.80735 | + | 15.1477i | 0.498499 | + | 1.57074i | ||||
\(94\) | −0.159480 | + | 5.51330i | −0.0164491 | + | 0.568653i | ||||
\(95\) | −3.22456 | − | 0.376897i | −0.330833 | − | 0.0386688i | ||||
\(96\) | 8.70321 | + | 4.50045i | 0.888268 | + | 0.459325i | ||||
\(97\) | 13.1090 | + | 8.62192i | 1.33102 | + | 0.875423i | 0.997726 | − | 0.0674009i | \(-0.0214706\pi\) |
0.333290 | + | 0.942824i | \(0.391841\pi\) | |||||||
\(98\) | −4.64890 | + | 1.24652i | −0.469609 | + | 0.125917i | ||||
\(99\) | 0.679660 | + | 0.962937i | 0.0683084 | + | 0.0967788i | ||||
\(100\) | −0.00156910 | − | 4.60392i | −0.000156910 | − | 0.460392i | ||||
\(101\) | −3.36678 | − | 11.2458i | −0.335007 | − | 1.11900i | −0.945130 | − | 0.326694i | \(-0.894065\pi\) |
0.610123 | − | 0.792307i | \(-0.291120\pi\) | |||||||
\(102\) | 4.52368 | − | 6.69420i | 0.447911 | − | 0.662825i | ||||
\(103\) | 7.15801 | − | 14.2528i | 0.705299 | − | 1.40437i | −0.200087 | − | 0.979778i | \(-0.564123\pi\) |
0.905387 | − | 0.424588i | \(-0.139581\pi\) | |||||||
\(104\) | 11.7115 | + | 7.21548i | 1.14840 | + | 0.707536i | ||||
\(105\) | 5.36858 | + | 0.538291i | 0.523920 | + | 0.0525318i | ||||
\(106\) | −2.41642 | + | 2.15116i | −0.234703 | + | 0.208940i | ||||
\(107\) | 4.66691 | + | 2.69444i | 0.451168 | + | 0.260482i | 0.708323 | − | 0.705888i | \(-0.249452\pi\) |
−0.257156 | + | 0.966370i | \(0.582785\pi\) | |||||||
\(108\) | 8.38878 | − | 6.13419i | 0.807211 | − | 0.590263i | ||||
\(109\) | 7.82074 | − | 4.51530i | 0.749091 | − | 0.432488i | −0.0762745 | − | 0.997087i | \(-0.524303\pi\) |
0.825365 | + | 0.564599i | \(0.190969\pi\) | |||||||
\(110\) | 0.286918 | − | 0.866363i | 0.0273565 | − | 0.0826045i | ||||
\(111\) | −5.46489 | + | 1.39037i | −0.518704 | + | 0.131968i | ||||
\(112\) | −7.57276 | + | 0.446243i | −0.715559 | + | 0.0421660i | ||||
\(113\) | −1.51322 | + | 0.0881351i | −0.142352 | + | 0.00829105i | −0.129173 | − | 0.991622i | \(-0.541232\pi\) |
−0.0131791 | + | 0.999913i | \(0.504195\pi\) | |||||||
\(114\) | 1.97297 | − | 4.42112i | 0.184785 | − | 0.414076i | ||||
\(115\) | −1.28824 | − | 0.305318i | −0.120129 | − | 0.0284710i | ||||
\(116\) | 3.05552 | − | 1.76549i | 0.283698 | − | 0.163922i | ||||
\(117\) | 12.3891 | − | 7.70611i | 1.14537 | − | 0.712430i | ||||
\(118\) | −8.48806 | − | 2.27282i | −0.781389 | − | 0.209230i | ||||
\(119\) | −0.363714 | + | 6.24472i | −0.0333416 | + | 0.572453i | ||||
\(120\) | −7.68025 | − | 2.40141i | −0.701107 | − | 0.219218i | ||||
\(121\) | 6.47657 | − | 8.69954i | 0.588779 | − | 0.790868i | ||||
\(122\) | 4.77471 | + | 8.85164i | 0.432282 | + | 0.801390i | ||||
\(123\) | 16.2007 | + | 10.2783i | 1.46077 | + | 0.926760i | ||||
\(124\) | 10.9634 | + | 14.7159i | 0.984538 | + | 1.32152i | ||||
\(125\) | 2.08273 | + | 11.8118i | 0.186285 | + | 1.05648i | ||||
\(126\) | −3.15785 | + | 7.40048i | −0.281323 | + | 0.659287i | ||||
\(127\) | 4.66243 | + | 0.822112i | 0.413723 | + | 0.0729506i | 0.376636 | − | 0.926361i | \(-0.377081\pi\) |
0.0370877 | + | 0.999312i | \(0.488192\pi\) | |||||||
\(128\) | 11.1962 | + | 1.62636i | 0.989614 | + | 0.143751i | ||||
\(129\) | −0.244510 | − | 14.8874i | −0.0215279 | − | 1.31077i | ||||
\(130\) | −10.5000 | − | 4.16929i | −0.920907 | − | 0.365671i | ||||
\(131\) | 0.239150 | + | 1.00905i | 0.0208947 | + | 0.0881615i | 0.982493 | − | 0.186298i | \(-0.0596491\pi\) |
−0.961599 | + | 0.274460i | \(0.911501\pi\) | |||||||
\(132\) | 1.10514 | + | 0.794304i | 0.0961899 | + | 0.0691353i | ||||
\(133\) | 0.435157 | + | 3.72300i | 0.0377329 | + | 0.322825i | ||||
\(134\) | −1.00170 | − | 11.4271i | −0.0865338 | − | 0.987148i | ||||
\(135\) | −5.91219 | + | 6.15574i | −0.508840 | + | 0.529802i | ||||
\(136\) | 2.40998 | − | 9.01259i | 0.206654 | − | 0.772823i | ||||
\(137\) | −15.0380 | − | 6.48676i | −1.28478 | − | 0.554201i | −0.359382 | − | 0.933191i | \(-0.617012\pi\) |
−0.925401 | + | 0.378990i | \(0.876272\pi\) | |||||||
\(138\) | 1.00844 | − | 1.69733i | 0.0858442 | − | 0.144486i | ||||
\(139\) | 6.99966 | + | 7.41920i | 0.593703 | + | 0.629288i | 0.952650 | − | 0.304070i | \(-0.0983455\pi\) |
−0.358947 | + | 0.933358i | \(0.616864\pi\) | |||||||
\(140\) | 6.06177 | − | 1.43885i | 0.512313 | − | 0.121605i | ||||
\(141\) | 6.67095 | + | 1.06362i | 0.561795 | + | 0.0895734i | ||||
\(142\) | −2.82716 | + | 19.3238i | −0.237250 | + | 1.62162i | ||||
\(143\) | 1.46371 | + | 1.22819i | 0.122401 | + | 0.102707i | ||||
\(144\) | 6.83923 | − | 9.86027i | 0.569936 | − | 0.821689i | ||||
\(145\) | −2.22018 | + | 1.86295i | −0.184376 | + | 0.154710i | ||||
\(146\) | 1.64771 | + | 2.67032i | 0.136365 | + | 0.220998i | ||||
\(147\) | 0.780405 | + | 5.84295i | 0.0643667 | + | 0.481918i | ||||
\(148\) | −5.43892 | + | 3.57989i | −0.447077 | + | 0.294265i | ||||
\(149\) | 0.515874 | + | 1.19593i | 0.0422621 | + | 0.0979745i | 0.938039 | − | 0.346528i | \(-0.112640\pi\) |
−0.895777 | + | 0.444503i | \(0.853380\pi\) | |||||||
\(150\) | −5.59188 | − | 0.724535i | −0.456575 | − | 0.0591580i | ||||
\(151\) | −4.87627 | − | 9.70946i | −0.396825 | − | 0.790144i | 0.603147 | − | 0.797630i | \(-0.293913\pi\) |
−0.999972 | + | 0.00748604i | \(0.997617\pi\) | |||||||
\(152\) | 0.484383 | − | 5.56931i | 0.0392886 | − | 0.451731i | ||||
\(153\) | −7.41659 | − | 6.55045i | −0.599595 | − | 0.529572i | ||||
\(154\) | −1.04972 | − | 0.0916580i | −0.0845885 | − | 0.00738601i | ||||
\(155\) | −10.9624 | − | 10.3425i | −0.880523 | − | 0.830731i | ||||
\(156\) | 10.6114 | − | 13.0855i | 0.849592 | − | 1.04768i | ||||
\(157\) | −1.17555 | − | 1.78733i | −0.0938189 | − | 0.142645i | 0.785529 | − | 0.618825i | \(-0.212391\pi\) |
−0.879347 | + | 0.476181i | \(0.842021\pi\) | |||||||
\(158\) | 8.49705 | + | 7.55914i | 0.675989 | + | 0.601373i | ||||
\(159\) | 2.23139 | + | 3.27426i | 0.176961 | + | 0.259665i | ||||
\(160\) | −9.28762 | + | 0.278163i | −0.734251 | + | 0.0219907i | ||||
\(161\) | 1.52857i | 0.120468i | ||||||||
\(162\) | −6.12657 | − | 11.1564i | −0.481349 | − | 0.876529i | ||||
\(163\) | 1.74990 | 0.137063 | 0.0685315 | − | 0.997649i | \(-0.478169\pi\) | ||||
0.0685315 | + | 0.997649i | \(0.478169\pi\) | |||||||
\(164\) | 21.5587 | + | 5.10176i | 1.68345 | + | 0.398380i | ||||
\(165\) | −1.00696 | − | 0.485174i | −0.0783917 | − | 0.0377707i | ||||
\(166\) | −13.3616 | − | 11.8867i | −1.03706 | − | 0.922590i | ||||
\(167\) | −4.19376 | + | 2.75828i | −0.324523 | + | 0.213442i | −0.701308 | − | 0.712859i | \(-0.747400\pi\) |
0.376785 | + | 0.926301i | \(0.377030\pi\) | |||||||
\(168\) | −0.652908 | + | 9.26782i | −0.0503730 | + | 0.715028i | ||||
\(169\) | 7.31035 | − | 7.74851i | 0.562334 | − | 0.596040i | ||||
\(170\) | −0.666484 | + | 7.63293i | −0.0511170 | + | 0.585419i | ||||
\(171\) | −5.05831 | − | 3.09384i | −0.386818 | − | 0.236592i | ||||
\(172\) | −5.88581 | − | 16.1540i | −0.448789 | − | 1.23173i | ||||
\(173\) | −5.44314 | + | 2.73365i | −0.413835 | + | 0.207836i | −0.643520 | − | 0.765429i | \(-0.722527\pi\) |
0.229685 | + | 0.973265i | \(0.426230\pi\) | |||||||
\(174\) | −1.66214 | − | 3.98962i | −0.126006 | − | 0.302452i | ||||
\(175\) | 4.00857 | − | 1.72913i | 0.303019 | − | 0.130710i | ||||
\(176\) | 1.50580 | + | 0.449690i | 0.113504 | + | 0.0338966i | ||||
\(177\) | −4.09973 | + | 9.95045i | −0.308155 | + | 0.747921i | ||||
\(178\) | 4.17937 | − | 2.57886i | 0.313257 | − | 0.193293i | ||||
\(179\) | −11.6603 | − | 13.8962i | −0.871530 | − | 1.03865i | −0.998905 | − | 0.0467948i | \(-0.985099\pi\) |
0.127374 | − | 0.991855i | \(-0.459345\pi\) | |||||||
\(180\) | −4.12846 | + | 8.94904i | −0.307717 | + | 0.667022i | ||||
\(181\) | 0.316525 | − | 0.377220i | 0.0235271 | − | 0.0280385i | −0.754153 | − | 0.656699i | \(-0.771952\pi\) |
0.777680 | + | 0.628661i | \(0.216397\pi\) | |||||||
\(182\) | −1.88826 | + | 12.9064i | −0.139967 | + | 0.956683i | ||||
\(183\) | 11.5041 | − | 4.40239i | 0.850404 | − | 0.325434i | ||||
\(184\) | 0.459860 | − | 2.23287i | 0.0339013 | − | 0.164609i | ||||
\(185\) | 3.88975 | − | 3.66979i | 0.285980 | − | 0.269809i | ||||
\(186\) | 19.6029 | − | 10.9934i | 1.43735 | − | 0.806077i | ||||
\(187\) | 0.513267 | − | 1.18989i | 0.0375338 | − | 0.0870131i | ||||
\(188\) | 7.68128 | − | 1.35712i | 0.560215 | − | 0.0989779i | ||||
\(189\) | 8.48990 | + | 5.00303i | 0.617549 | + | 0.363917i | ||||
\(190\) | 0.400934 | + | 4.57372i | 0.0290868 | + | 0.331813i | ||||
\(191\) | 9.32715 | − | 1.09019i | 0.674889 | − | 0.0788832i | 0.228257 | − | 0.973601i | \(-0.426697\pi\) |
0.446632 | + | 0.894718i | \(0.352623\pi\) | |||||||
\(192\) | 3.74190 | − | 13.3416i | 0.270048 | − | 0.962847i | ||||
\(193\) | 12.4634 | − | 2.95387i | 0.897134 | − | 0.212625i | 0.243917 | − | 0.969796i | \(-0.421567\pi\) |
0.653216 | + | 0.757171i | \(0.273419\pi\) | |||||||
\(194\) | 8.18892 | − | 20.6230i | 0.587930 | − | 1.48064i | ||||
\(195\) | −6.72053 | + | 12.0947i | −0.481267 | + | 0.866122i | ||||
\(196\) | 3.05694 | + | 6.08171i | 0.218353 | + | 0.434408i | ||||
\(197\) | 2.93839 | − | 16.6644i | 0.209352 | − | 1.18729i | −0.681091 | − | 0.732198i | \(-0.738494\pi\) |
0.890443 | − | 0.455094i | \(-0.150395\pi\) | |||||||
\(198\) | 1.13909 | − | 1.21690i | 0.0809515 | − | 0.0864814i | ||||
\(199\) | −2.04331 | + | 0.360291i | −0.144846 | + | 0.0255403i | −0.245601 | − | 0.969371i | \(-0.578985\pi\) |
0.100755 | + | 0.994911i | \(0.467874\pi\) | |||||||
\(200\) | −6.37574 | + | 1.31988i | −0.450833 | + | 0.0933298i | ||||
\(201\) | −14.0367 | − | 0.586444i | −0.990070 | − | 0.0413646i | ||||
\(202\) | −14.6113 | + | 7.88153i | −1.02804 | + | 0.554543i | ||||
\(203\) | 2.68410 | + | 1.99824i | 0.188387 | + | 0.140249i | ||||
\(204\) | −10.5659 | − | 4.34909i | −0.739759 | − | 0.304497i | ||||
\(205\) | −18.1641 | − | 1.05794i | −1.26864 | − | 0.0738897i | ||||
\(206\) | −21.7881 | − | 5.83411i | −1.51805 | − | 0.406482i | ||||
\(207\) | −1.90235 | − | 1.49261i | −0.132223 | − | 0.103743i | ||||
\(208\) | 6.64107 | − | 18.2850i | 0.460475 | − | 1.26783i | ||||
\(209\) | 0.179077 | − | 0.755587i | 0.0123870 | − | 0.0522651i | ||||
\(210\) | −0.791064 | − | 7.58928i | −0.0545886 | − | 0.523710i | ||||
\(211\) | 0.962278 | + | 16.5217i | 0.0662460 | + | 1.13740i | 0.853611 | + | 0.520912i | \(0.174408\pi\) |
−0.787365 | + | 0.616487i | \(0.788555\pi\) | |||||||
\(212\) | 3.67087 | + | 2.73091i | 0.252116 | + | 0.187560i | ||||
\(213\) | 23.0234 | + | 6.48275i | 1.57754 | + | 0.444191i | ||||
\(214\) | 2.39592 | − | 7.23462i | 0.163782 | − | 0.494549i | ||||
\(215\) | 7.06012 | + | 12.2285i | 0.481496 | + | 0.833976i | ||||
\(216\) | −10.8965 | − | 9.86233i | −0.741415 | − | 0.671047i | ||||
\(217\) | −8.70046 | + | 15.0696i | −0.590625 | + | 1.02299i | ||||
\(218\) | −8.49187 | − | 9.53897i | −0.575142 | − | 0.646060i | ||||
\(219\) | 3.50320 | − | 1.57986i | 0.236724 | − | 0.106757i | ||||
\(220\) | −1.28199 | − | 0.149400i | −0.0864316 | − | 0.0100726i | ||||
\(221\) | −14.3351 | − | 7.19936i | −0.964284 | − | 0.484282i | ||||
\(222\) | 3.48972 | + | 7.17064i | 0.234215 | + | 0.481262i | ||||
\(223\) | 9.80938 | − | 2.93673i | 0.656884 | − | 0.196658i | 0.0590215 | − | 0.998257i | \(-0.481202\pi\) |
0.597863 | + | 0.801598i | \(0.296017\pi\) | |||||||
\(224\) | 2.78546 | + | 10.3602i | 0.186111 | + | 0.692217i | ||||
\(225\) | −1.76230 | + | 6.67723i | −0.117487 | + | 0.445149i | ||||
\(226\) | 0.555169 | + | 2.07051i | 0.0369293 | + | 0.137728i | ||||
\(227\) | −6.44606 | + | 9.80076i | −0.427840 | + | 0.650499i | −0.983500 | − | 0.180911i | \(-0.942095\pi\) |
0.555659 | + | 0.831410i | \(0.312466\pi\) | |||||||
\(228\) | −6.68771 | − | 1.46707i | −0.442904 | − | 0.0971590i | ||||
\(229\) | −2.67998 | + | 22.9287i | −0.177098 | + | 1.51517i | 0.553780 | + | 0.832663i | \(0.313185\pi\) |
−0.730878 | + | 0.682508i | \(0.760889\pi\) | |||||||
\(230\) | −0.0541367 | + | 1.87153i | −0.00356967 | + | 0.123405i | ||||
\(231\) | −0.276954 | + | 1.26046i | −0.0182222 | + | 0.0829320i | ||||
\(232\) | −3.31965 | − | 3.72643i | −0.217946 | − | 0.244652i | ||||
\(233\) | −8.13748 | + | 22.3576i | −0.533104 | + | 1.46469i | 0.322253 | + | 0.946654i | \(0.395560\pi\) |
−0.855357 | + | 0.518038i | \(0.826662\pi\) | |||||||
\(234\) | −14.2185 | − | 14.9527i | −0.929494 | − | 0.977488i | ||||
\(235\) | −6.01989 | + | 2.19106i | −0.392694 | + | 0.142929i | ||||
\(236\) | −0.718326 | + | 12.4060i | −0.0467591 | + | 0.807564i | ||||
\(237\) | 10.5216 | − | 9.12725i | 0.683451 | − | 0.592879i | ||||
\(238\) | 8.75271 | − | 1.28361i | 0.567354 | − | 0.0832039i | ||||
\(239\) | −6.92444 | + | 23.1293i | −0.447905 | + | 1.49611i | 0.374512 | + | 0.927222i | \(0.377810\pi\) |
−0.822417 | + | 0.568885i | \(0.807375\pi\) | |||||||
\(240\) | −1.12763 | + | 11.3241i | −0.0727883 | + | 0.730965i | ||||
\(241\) | 10.2670 | + | 13.7910i | 0.661359 | + | 0.888359i | 0.998591 | − | 0.0530626i | \(-0.0168983\pi\) |
−0.337233 | + | 0.941421i | \(0.609491\pi\) | |||||||
\(242\) | −13.9021 | − | 6.47978i | −0.893661 | − | 0.416536i | ||||
\(243\) | −14.5166 | + | 5.68061i | −0.931238 | + | 0.364411i | ||||
\(244\) | 10.8925 | − | 9.14620i | 0.697319 | − | 0.585525i | ||||
\(245\) | −3.33830 | − | 4.48411i | −0.213276 | − | 0.286479i | ||||
\(246\) | 9.59798 | − | 25.3789i | 0.611945 | − | 1.61810i | ||||
\(247\) | −9.20861 | − | 2.75688i | −0.585930 | − | 0.175416i | ||||
\(248\) | 17.2428 | − | 19.3956i | 1.09492 | − | 1.23162i | ||||
\(249\) | −16.5452 | + | 14.3526i | −1.04851 | + | 0.909559i | ||||
\(250\) | 15.7626 | − | 6.26518i | 0.996913 | − | 0.396245i | ||||
\(251\) | 4.08338 | + | 11.2190i | 0.257741 | + | 0.708136i | 0.999306 | + | 0.0372555i | \(0.0118615\pi\) |
−0.741565 | + | 0.670881i | \(0.765916\pi\) | |||||||
\(252\) | 11.1531 | + | 2.25533i | 0.702579 | + | 0.142072i | ||||
\(253\) | 0.108305 | − | 0.297566i | 0.00680909 | − | 0.0187078i | ||||
\(254\) | −0.195874 | − | 6.69252i | −0.0122902 | − | 0.419926i | ||||
\(255\) | 9.16532 | + | 2.01385i | 0.573955 | + | 0.126112i | ||||
\(256\) | −0.952092 | − | 15.9716i | −0.0595057 | − | 0.998228i | ||||
\(257\) | 1.11133 | − | 9.50806i | 0.0693231 | − | 0.593097i | −0.913274 | − | 0.407346i | \(-0.866454\pi\) |
0.982597 | − | 0.185751i | \(-0.0594717\pi\) | |||||||
\(258\) | −20.5483 | + | 4.59964i | −1.27928 | + | 0.286361i | ||||
\(259\) | −5.15855 | − | 3.39283i | −0.320537 | − | 0.210820i | ||||
\(260\) | −2.76901 | + | 15.7352i | −0.171727 | + | 0.975856i | ||||
\(261\) | −5.10781 | + | 1.38922i | −0.316165 | + | 0.0859904i | ||||
\(262\) | 1.32904 | − | 0.620017i | 0.0821084 | − | 0.0383048i | ||||
\(263\) | 6.37472 | + | 21.2930i | 0.393082 | + | 1.31298i | 0.894224 | + | 0.447620i | \(0.147728\pi\) |
−0.501142 | + | 0.865365i | \(0.667087\pi\) | |||||||
\(264\) | 0.783762 | − | 1.75790i | 0.0482372 | − | 0.108191i | ||||
\(265\) | −3.35792 | − | 1.68641i | −0.206275 | − | 0.103595i | ||||
\(266\) | 5.03162 | − | 1.66825i | 0.308508 | − | 0.102287i | ||||
\(267\) | −2.47267 | − | 5.48291i | −0.151325 | − | 0.335549i | ||||
\(268\) | −15.5392 | + | 4.65790i | −0.949207 | + | 0.284527i | ||||
\(269\) | −6.27576 | + | 10.8699i | −0.382640 | + | 0.662751i | −0.991439 | − | 0.130573i | \(-0.958318\pi\) |
0.608799 | + | 0.793324i | \(0.291652\pi\) | |||||||
\(270\) | 10.2175 | + | 6.42621i | 0.621819 | + | 0.391087i | ||||
\(271\) | 18.6459 | − | 10.7652i | 1.13266 | − | 0.653941i | 0.188057 | − | 0.982158i | \(-0.439781\pi\) |
0.944602 | + | 0.328217i | \(0.106448\pi\) | |||||||
\(272\) | −13.1717 | − | 0.758158i | −0.798654 | − | 0.0459701i | ||||
\(273\) | 15.3773 | + | 4.32982i | 0.930678 | + | 0.262053i | ||||
\(274\) | −4.67973 | + | 22.6834i | −0.282713 | + | 1.37036i | ||||
\(275\) | −0.902862 | + | 0.0525857i | −0.0544446 | + | 0.00317104i | ||||
\(276\) | −2.63934 | − | 0.910837i | −0.158870 | − | 0.0548259i | ||||
\(277\) | −2.55446 | + | 10.7781i | −0.153483 | + | 0.647594i | 0.840849 | + | 0.541270i | \(0.182056\pi\) |
−0.994332 | + | 0.106324i | \(0.966092\pi\) | |||||||
\(278\) | 8.27180 | − | 11.8176i | 0.496110 | − | 0.708775i | ||||
\(279\) | −10.2589 | − | 25.5430i | −0.614182 | − | 1.52922i | ||||
\(280\) | −3.72770 | − | 7.98341i | −0.222772 | − | 0.477100i | ||||
\(281\) | 19.3364 | + | 1.12622i | 1.15351 | + | 0.0671845i | 0.624216 | − | 0.781252i | \(-0.285418\pi\) |
0.529298 | + | 0.848436i | \(0.322456\pi\) | |||||||
\(282\) | −0.436260 | − | 9.54334i | −0.0259789 | − | 0.568298i | ||||
\(283\) | 15.9678 | − | 21.4485i | 0.949190 | − | 1.27498i | −0.0122374 | − | 0.999925i | \(-0.503895\pi\) |
0.961428 | − | 0.275058i | \(-0.0886972\pi\) | |||||||
\(284\) | 27.5717 | − | 1.61529i | 1.63608 | − | 0.0958501i | ||||
\(285\) | 5.61822 | + | 0.234726i | 0.332795 | + | 0.0139040i | ||||
\(286\) | 1.28205 | − | 2.37868i | 0.0758093 | − | 0.140654i | ||||
\(287\) | 3.64790 | + | 20.6883i | 0.215329 | + | 1.22119i | ||||
\(288\) | −15.6135 | − | 6.64982i | −0.920032 | − | 0.391844i | ||||
\(289\) | 1.06284 | − | 6.02767i | 0.0625200 | − | 0.354569i | ||||
\(290\) | 3.21554 | + | 2.54163i | 0.188823 | + | 0.149250i | ||||
\(291\) | −23.7553 | − | 13.1998i | −1.39256 | − | 0.773787i | ||||
\(292\) | 3.22666 | − | 3.04628i | 0.188826 | − | 0.178270i | ||||
\(293\) | 17.4442 | − | 4.13434i | 1.01910 | − | 0.241531i | 0.313082 | − | 0.949726i | \(-0.398638\pi\) |
0.706017 | + | 0.708195i | \(0.250490\pi\) | |||||||
\(294\) | 7.86881 | − | 2.75316i | 0.458919 | − | 0.160567i | ||||
\(295\) | −1.18484 | − | 10.1370i | −0.0689840 | − | 0.590196i | ||||
\(296\) | 6.51467 | + | 6.50801i | 0.378657 | + | 0.378270i | ||||
\(297\) | −1.29824 | − | 1.57548i | −0.0753315 | − | 0.0914186i | ||||
\(298\) | 1.50865 | − | 1.05675i | 0.0873939 | − | 0.0612160i | ||||
\(299\) | −3.59935 | − | 1.55261i | −0.208156 | − | 0.0897897i | ||||
\(300\) | 0.597036 | + | 7.95184i | 0.0344699 | + | 0.459100i | ||||
\(301\) | 11.8583 | − | 11.1877i | 0.683501 | − | 0.644850i | ||||
\(302\) | −12.0514 | + | 9.53237i | −0.693482 | + | 0.548526i | ||||
\(303\) | 7.26695 | + | 18.9895i | 0.417475 | + | 1.09092i | ||||
\(304\) | −7.85184 | + | 0.923174i | −0.450334 | + | 0.0529477i | ||||
\(305\) | −7.50859 | + | 8.94839i | −0.429941 | + | 0.512384i | ||||
\(306\) | −6.94929 | + | 12.1464i | −0.397265 | + | 0.694365i | ||||
\(307\) | −8.88661 | + | 7.45675i | −0.507186 | + | 0.425579i | −0.860138 | − | 0.510062i | \(-0.829622\pi\) |
0.352952 | + | 0.935642i | \(0.385178\pi\) | |||||||
\(308\) | 0.173503 | + | 1.48004i | 0.00988623 | + | 0.0843329i | ||||
\(309\) | −10.5236 | + | 25.5419i | −0.598669 | + | 1.45303i | ||||
\(310\) | −11.1862 | + | 18.1426i | −0.635336 | + | 1.03043i | ||||
\(311\) | 9.39538 | + | 21.7809i | 0.532763 | + | 1.23508i | 0.945913 | + | 0.324421i | \(0.105169\pi\) |
−0.413150 | + | 0.910663i | \(0.635571\pi\) | |||||||
\(312\) | −21.1599 | − | 10.9510i | −1.19794 | − | 0.619977i | ||||
\(313\) | −23.1703 | + | 11.6366i | −1.30967 | + | 0.657739i | −0.960227 | − | 0.279221i | \(-0.909924\pi\) |
−0.349438 | + | 0.936959i | \(0.613628\pi\) | |||||||
\(314\) | −2.13890 | + | 2.13963i | −0.120705 | + | 0.120746i | ||||
\(315\) | −9.34229 | − | 0.236716i | −0.526378 | − | 0.0133374i | ||||
\(316\) | 8.03703 | − | 13.9315i | 0.452118 | − | 0.783708i | ||||
\(317\) | −4.93081 | + | 5.22635i | −0.276942 | + | 0.293541i | −0.850883 | − | 0.525356i | \(-0.823932\pi\) |
0.573941 | + | 0.818897i | \(0.305414\pi\) | |||||||
\(318\) | 3.89602 | − | 4.02750i | 0.218478 | − | 0.225851i | ||||
\(319\) | −0.380929 | − | 0.579174i | −0.0213279 | − | 0.0324275i | ||||
\(320\) | 3.04350 | + | 12.7833i | 0.170137 | + | 0.714606i | ||||
\(321\) | −8.40868 | − | 4.05148i | −0.469327 | − | 0.226131i | ||||
\(322\) | 2.11699 | − | 0.437500i | 0.117975 | − | 0.0243809i | ||||
\(323\) | 6.51920i | 0.362738i | ||||||||
\(324\) | −13.6975 | + | 11.6781i | −0.760973 | + | 0.648784i | ||||
\(325\) | 11.1954i | 0.621007i | ||||||||
\(326\) | −0.500848 | − | 2.42352i | −0.0277394 | − | 0.134227i | ||||
\(327\) | −12.9254 | + | 8.80857i | −0.714774 | + | 0.487115i | ||||
\(328\) | 0.895235 | − | 31.3179i | 0.0494311 | − | 1.72924i | ||||
\(329\) | 4.06443 | + | 6.17967i | 0.224079 | + | 0.340696i | ||||
\(330\) | −0.383734 | + | 1.53345i | −0.0211239 | + | 0.0844137i | ||||
\(331\) | 23.4095 | − | 24.8126i | 1.28670 | − | 1.36382i | 0.390234 | − | 0.920716i | \(-0.372394\pi\) |
0.896468 | − | 0.443108i | \(-0.146124\pi\) | |||||||
\(332\) | −12.6382 | + | 21.9073i | −0.693613 | + | 1.20232i | ||||
\(333\) | 9.25965 | − | 3.10696i | 0.507426 | − | 0.170261i | ||||
\(334\) | 5.02039 | + | 5.01868i | 0.274704 | + | 0.274610i | ||||
\(335\) | 11.9060 | − | 5.97941i | 0.650493 | − | 0.326690i | ||||
\(336\) | 13.0223 | − | 1.74834i | 0.710426 | − | 0.0953800i | ||||
\(337\) | 12.4757 | + | 28.9220i | 0.679596 | + | 1.57548i | 0.811589 | + | 0.584229i | \(0.198603\pi\) |
−0.131993 | + | 0.991251i | \(0.542138\pi\) | |||||||
\(338\) | −12.8236 | − | 7.90671i | −0.697513 | − | 0.430068i | ||||
\(339\) | 2.60231 | − | 0.347574i | 0.141338 | − | 0.0188776i | ||||
\(340\) | 10.7620 | − | 1.26161i | 0.583650 | − | 0.0684205i | ||||
\(341\) | 2.76145 | − | 2.31714i | 0.149541 | − | 0.125480i | ||||
\(342\) | −2.83705 | + | 7.89099i | −0.153410 | + | 0.426696i | ||||
\(343\) | −12.6820 | + | 15.1139i | −0.684766 | + | 0.816072i | ||||
\(344\) | −20.6878 | + | 12.7751i | −1.11541 | + | 0.688785i | ||||
\(345\) | 2.26450 | + | 0.361055i | 0.121917 | + | 0.0194385i | ||||
\(346\) | 5.34387 | + | 6.75606i | 0.287288 | + | 0.363208i | ||||
\(347\) | 17.1427 | − | 16.1733i | 0.920269 | − | 0.868229i | −0.0713467 | − | 0.997452i | \(-0.522730\pi\) |
0.991616 | + | 0.129223i | \(0.0412482\pi\) | |||||||
\(348\) | −5.04969 | + | 3.44386i | −0.270692 | + | 0.184610i | ||||
\(349\) | −12.0705 | − | 5.20669i | −0.646117 | − | 0.278708i | 0.0476973 | − | 0.998862i | \(-0.484812\pi\) |
−0.693814 | + | 0.720154i | \(0.744071\pi\) | |||||||
\(350\) | −3.54207 | − | 5.05676i | −0.189331 | − | 0.270295i | ||||
\(351\) | −20.4041 | + | 14.9096i | −1.08909 | + | 0.795815i | ||||
\(352\) | 0.191814 | − | 2.21417i | 0.0102237 | − | 0.118016i | ||||
\(353\) | −2.56093 | − | 21.9101i | −0.136304 | − | 1.16616i | −0.872230 | − | 0.489096i | \(-0.837327\pi\) |
0.735926 | − | 0.677062i | \(-0.236747\pi\) | |||||||
\(354\) | 14.9543 | + | 2.82995i | 0.794810 | + | 0.150410i | ||||
\(355\) | −22.0716 | + | 5.23107i | −1.17144 | + | 0.277636i | ||||
\(356\) | −4.76778 | − | 5.05010i | −0.252692 | − | 0.267655i | ||||
\(357\) | −0.177921 | − | 10.8330i | −0.00941659 | − | 0.573345i | ||||
\(358\) | −15.9081 | + | 20.1262i | −0.840772 | + | 1.06370i | ||||
\(359\) | 4.31748 | − | 24.4856i | 0.227868 | − | 1.29230i | −0.629258 | − | 0.777196i | \(-0.716641\pi\) |
0.857126 | − | 0.515106i | \(-0.172248\pi\) | |||||||
\(360\) | 13.5756 | + | 3.15635i | 0.715496 | + | 0.166354i | ||||
\(361\) | −2.62096 | − | 14.8642i | −0.137945 | − | 0.782327i | ||||
\(362\) | −0.613024 | − | 0.330405i | −0.0322198 | − | 0.0173657i | ||||
\(363\) | −10.0635 | + | 15.8622i | −0.528197 | + | 0.832550i | ||||
\(364\) | 18.4151 | − | 1.07885i | 0.965213 | − | 0.0565473i | ||||
\(365\) | −2.17630 | + | 2.92328i | −0.113913 | + | 0.153012i | ||||
\(366\) | −9.38971 | − | 14.6725i | −0.490808 | − | 0.766943i | ||||
\(367\) | 13.2676 | + | 0.772750i | 0.692563 | + | 0.0403372i | 0.400816 | − | 0.916158i | \(-0.368727\pi\) |
0.291747 | + | 0.956496i | \(0.405764\pi\) | |||||||
\(368\) | −3.22403 | + | 0.00219761i | −0.168064 | + | 0.000114558i | ||||
\(369\) | −29.3092 | − | 15.6616i | −1.52578 | − | 0.815310i | ||||
\(370\) | −6.19578 | − | 4.33676i | −0.322103 | − | 0.225457i | ||||
\(371\) | −1.00051 | + | 4.22150i | −0.0519441 | + | 0.219170i | ||||
\(372\) | −20.8360 | − | 24.0025i | −1.08029 | − | 1.24447i | ||||
\(373\) | 16.9199 | − | 0.985470i | 0.876077 | − | 0.0510257i | 0.385790 | − | 0.922587i | \(-0.373929\pi\) |
0.490287 | + | 0.871561i | \(0.336892\pi\) | |||||||
\(374\) | −1.79483 | − | 0.370285i | −0.0928087 | − | 0.0191470i | ||||
\(375\) | −5.12217 | − | 20.1328i | −0.264508 | − | 1.03965i | ||||
\(376\) | −4.07803 | − | 10.2497i | −0.210308 | − | 0.528590i | ||||
\(377\) | −7.43158 | + | 4.29062i | −0.382746 | + | 0.220978i | ||||
\(378\) | 4.49900 | − | 13.1900i | 0.231404 | − | 0.678421i | ||||
\(379\) | −2.41292 | + | 4.17930i | −0.123943 | + | 0.214676i | −0.921319 | − | 0.388807i | \(-0.872887\pi\) |
0.797376 | + | 0.603483i | \(0.206221\pi\) | |||||||
\(380\) | 6.21962 | − | 1.86434i | 0.319060 | − | 0.0956387i | ||||
\(381\) | −8.15923 | − | 0.818100i | −0.418010 | − | 0.0419125i | ||||
\(382\) | −4.17942 | − | 12.6056i | −0.213838 | − | 0.644958i | ||||
\(383\) | −16.8173 | − | 8.44598i | −0.859326 | − | 0.431570i | −0.0361432 | − | 0.999347i | \(-0.511507\pi\) |
−0.823182 | + | 0.567777i | \(0.807804\pi\) | |||||||
\(384\) | −19.5484 | − | 1.36377i | −0.997575 | − | 0.0695948i | ||||
\(385\) | −0.351006 | − | 1.17244i | −0.0178889 | − | 0.0597531i | ||||
\(386\) | −7.65817 | − | 16.4157i | −0.389790 | − | 0.835537i | ||||
\(387\) | 2.34417 | + | 25.6825i | 0.119161 | + | 1.30552i | ||||
\(388\) | −30.9056 | − | 5.43863i | −1.56899 | − | 0.276104i | ||||
\(389\) | −23.7289 | − | 15.6067i | −1.20310 | − | 0.791293i | −0.220206 | − | 0.975453i | \(-0.570673\pi\) |
−0.982896 | + | 0.184160i | \(0.941043\pi\) | |||||||
\(390\) | 18.6741 | + | 5.84589i | 0.945600 | + | 0.296018i | ||||
\(391\) | −0.308635 | + | 2.64054i | −0.0156084 | + | 0.133538i | ||||
\(392\) | 7.54791 | − | 5.97438i | 0.381227 | − | 0.301752i | ||||
\(393\) | −0.543329 | − | 1.71200i | −0.0274073 | − | 0.0863590i | ||||
\(394\) | −23.9204 | + | 0.700093i | −1.20509 | + | 0.0352702i | ||||
\(395\) | −4.51781 | + | 12.4126i | −0.227316 | + | 0.624545i | ||||
\(396\) | −2.01137 | − | 1.22928i | −0.101075 | − | 0.0617739i | ||||
\(397\) | −0.331078 | − | 0.909629i | −0.0166163 | − | 0.0456530i | 0.931107 | − | 0.364746i | \(-0.118844\pi\) |
−0.947723 | + | 0.319093i | \(0.896622\pi\) | |||||||
\(398\) | 1.08381 | + | 2.72676i | 0.0543265 | + | 0.136680i | ||||
\(399\) | −1.23222 | − | 6.37432i | −0.0616884 | − | 0.319115i | ||||
\(400\) | 3.65280 | + | 8.45229i | 0.182640 | + | 0.422615i | ||||
\(401\) | −1.75306 | − | 0.524832i | −0.0875437 | − | 0.0262089i | 0.242732 | − | 0.970093i | \(-0.421956\pi\) |
−0.330276 | + | 0.943885i | \(0.607142\pi\) | |||||||
\(402\) | 3.20531 | + | 19.6079i | 0.159866 | + | 0.977953i | ||||
\(403\) | −26.6474 | − | 35.7937i | −1.32740 | − | 1.78301i | ||||
\(404\) | 15.0975 | + | 17.9800i | 0.751127 | + | 0.894539i | ||||
\(405\) | 9.41708 | − | 11.3956i | 0.467939 | − | 0.566252i | ||||
\(406\) | 1.99922 | − | 4.28926i | 0.0992198 | − | 0.212872i | ||||
\(407\) | 0.763816 | + | 1.02598i | 0.0378610 | + | 0.0508561i | ||||
\(408\) | −2.99915 | + | 15.8780i | −0.148480 | + | 0.786076i | ||||
\(409\) | 6.77199 | − | 22.6200i | 0.334853 | − | 1.11849i | −0.610384 | − | 0.792105i | \(-0.708985\pi\) |
0.945238 | − | 0.326383i | \(-0.105830\pi\) | |||||||
\(410\) | 3.73365 | + | 25.4592i | 0.184392 | + | 1.25734i | ||||
\(411\) | 26.8115 | + | 9.26287i | 1.32251 | + | 0.456904i | ||||
\(412\) | −1.84388 | + | 31.8451i | −0.0908414 | + | 1.56890i | ||||
\(413\) | −11.0729 | + | 4.03022i | −0.544863 | + | 0.198314i | ||||
\(414\) | −1.52270 | + | 3.06187i | −0.0748367 | + | 0.150482i | ||||
\(415\) | 7.10426 | − | 19.5188i | 0.348734 | − | 0.958139i | ||||
\(416\) | −27.2245 | − | 3.96411i | −1.33479 | − | 0.194356i | ||||
\(417\) | −13.0478 | − | 11.9111i | −0.638953 | − | 0.583289i | ||||
\(418\) | −1.09770 | − | 0.0317527i | −0.0536905 | − | 0.00155308i | ||||
\(419\) | 0.0296287 | − | 0.253490i | 0.00144746 | − | 0.0123838i | −0.992495 | − | 0.122283i | \(-0.960979\pi\) |
0.993943 | + | 0.109899i | \(0.0350527\pi\) | |||||||
\(420\) | −10.2843 | + | 3.26775i | −0.501824 | + | 0.159450i | ||||
\(421\) | −11.1411 | + | 16.9392i | −0.542983 | + | 0.825566i | −0.997887 | − | 0.0649747i | \(-0.979303\pi\) |
0.454904 | + | 0.890541i | \(0.349674\pi\) | |||||||
\(422\) | 22.6062 | − | 6.06145i | 1.10045 | − | 0.295067i | ||||
\(423\) | −11.6596 | − | 0.975966i | −0.566909 | − | 0.0474531i | ||||
\(424\) | 2.73152 | − | 5.86559i | 0.132654 | − | 0.284858i | ||||
\(425\) | 7.27377 | − | 2.17762i | 0.352830 | − | 0.105630i | ||||
\(426\) | 2.38863 | − | 33.7417i | 0.115729 | − | 1.63479i | ||||
\(427\) | 12.0524 | + | 6.05293i | 0.583256 | + | 0.292922i | ||||
\(428\) | −10.7053 | − | 1.24757i | −0.517461 | − | 0.0603038i | ||||
\(429\) | −2.68671 | − | 1.93243i | −0.129716 | − | 0.0932985i | ||||
\(430\) | 14.9151 | − | 13.2779i | 0.719271 | − | 0.640316i | ||||
\(431\) | 12.4225 | − | 21.5164i | 0.598370 | − | 1.03641i | −0.394692 | − | 0.918813i | \(-0.629149\pi\) |
0.993062 | − | 0.117593i | \(-0.0375179\pi\) | |||||||
\(432\) | −10.5401 | + | 17.9139i | −0.507109 | + | 0.861882i | ||||
\(433\) | 3.78722 | + | 6.55966i | 0.182002 | + | 0.315237i | 0.942562 | − | 0.334030i | \(-0.108409\pi\) |
−0.760560 | + | 0.649268i | \(0.775075\pi\) | |||||||
\(434\) | 23.3609 | + | 7.73653i | 1.12136 | + | 0.371365i | ||||
\(435\) | 3.59428 | − | 3.50436i | 0.172332 | − | 0.168021i | ||||
\(436\) | −10.7805 | + | 14.4910i | −0.516291 | + | 0.693993i | ||||
\(437\) | 0.0926281 | + | 1.59036i | 0.00443100 | + | 0.0760773i | ||||
\(438\) | −3.19069 | − | 4.39957i | −0.152457 | − | 0.210219i | ||||
\(439\) | 5.05965 | − | 21.3483i | 0.241484 | − | 1.01890i | −0.708280 | − | 0.705932i | \(-0.750528\pi\) |
0.949764 | − | 0.312968i | \(-0.101323\pi\) | |||||||
\(440\) | 0.160013 | + | 1.81825i | 0.00762831 | + | 0.0866816i | ||||
\(441\) | −2.10222 | − | 9.99139i | −0.100106 | − | 0.475780i | ||||
\(442\) | −5.86782 | + | 21.9139i | −0.279104 | + | 1.04234i | ||||
\(443\) | 29.7826 | + | 1.73464i | 1.41501 | + | 0.0824151i | 0.748528 | − | 0.663104i | \(-0.230761\pi\) |
0.666485 | + | 0.745519i | \(0.267798\pi\) | |||||||
\(444\) | 8.93216 | − | 6.88543i | 0.423901 | − | 0.326768i | ||||
\(445\) | 4.57528 | + | 3.40617i | 0.216889 | + | 0.161468i | ||||
\(446\) | −6.87481 | − | 12.7449i | −0.325532 | − | 0.603490i | ||||
\(447\) | −1.04542 | − | 1.99906i | −0.0494467 | − | 0.0945522i | ||||
\(448\) | 13.5510 | − | 6.82295i | 0.640227 | − | 0.322354i | ||||
\(449\) | −2.91507 | + | 0.514006i | −0.137571 | + | 0.0242574i | −0.242010 | − | 0.970274i | \(-0.577807\pi\) |
0.104439 | + | 0.994531i | \(0.466695\pi\) | |||||||
\(450\) | 9.75201 | + | 0.529577i | 0.459714 | + | 0.0249645i | ||||
\(451\) | 0.755709 | − | 4.28584i | 0.0355850 | − | 0.201812i | ||||
\(452\) | 2.70865 | − | 1.36149i | 0.127404 | − | 0.0640391i | ||||
\(453\) | 9.67587 | + | 16.1410i | 0.454612 | + | 0.758371i | ||||
\(454\) | 15.4185 | + | 6.12234i | 0.723626 | + | 0.287335i | ||||
\(455\) | −14.7416 | + | 3.49383i | −0.691097 | + | 0.163793i | ||||
\(456\) | −0.117692 | + | 9.68203i | −0.00551144 | + | 0.453403i | ||||
\(457\) | −24.5064 | + | 2.86438i | −1.14636 | + | 0.133990i | −0.667992 | − | 0.744169i | \(-0.732846\pi\) |
−0.478369 | + | 0.878159i | \(0.658772\pi\) | |||||||
\(458\) | 32.5221 | − | 2.85090i | 1.51966 | − | 0.133214i | ||||
\(459\) | 13.6558 | + | 10.3567i | 0.637397 | + | 0.483411i | ||||
\(460\) | 2.60746 | − | 0.460683i | 0.121574 | − | 0.0214794i | ||||
\(461\) | 14.5125 | − | 33.6437i | 0.675914 | − | 1.56695i | −0.140887 | − | 0.990026i | \(-0.544995\pi\) |
0.816801 | − | 0.576920i | \(-0.195745\pi\) | |||||||
\(462\) | 1.82494 | + | 0.0228055i | 0.0849037 | + | 0.00106101i | ||||
\(463\) | 30.1479 | − | 28.4430i | 1.40109 | − | 1.32186i | 0.515887 | − | 0.856657i | \(-0.327463\pi\) |
0.885204 | − | 0.465204i | \(-0.154019\pi\) | |||||||
\(464\) | −4.21077 | + | 5.66410i | −0.195480 | + | 0.262949i | ||||
\(465\) | 20.2698 | + | 16.4488i | 0.939990 | + | 0.762794i | ||||
\(466\) | 33.2931 | + | 4.87093i | 1.54227 | + | 0.225641i | ||||
\(467\) | −13.3951 | + | 15.9637i | −0.619853 | + | 0.738712i | −0.981045 | − | 0.193780i | \(-0.937925\pi\) |
0.361192 | + | 0.932491i | \(0.382370\pi\) | |||||||
\(468\) | −16.6391 | + | 23.9716i | −0.769145 | + | 1.10809i | ||||
\(469\) | −9.88773 | − | 11.7837i | −0.456573 | − | 0.544122i | ||||
\(470\) | 4.75748 | + | 7.71012i | 0.219446 | + | 0.355641i | ||||
\(471\) | 2.26117 | + | 2.93539i | 0.104189 | + | 0.135256i | ||||
\(472\) | 17.3873 | − | 2.55595i | 0.800315 | − | 0.117647i | ||||
\(473\) | −3.10114 | + | 1.33770i | −0.142591 | + | 0.0615076i | ||||
\(474\) | −15.6522 | − | 11.9595i | −0.718930 | − | 0.549318i | ||||
\(475\) | 4.06583 | − | 2.04194i | 0.186553 | − | 0.0936905i | ||||
\(476\) | −4.28289 | − | 11.7547i | −0.196306 | − | 0.538774i | ||||
\(477\) | −4.27681 | − | 5.36735i | −0.195822 | − | 0.245754i | ||||
\(478\) | 34.0147 | + | 2.97006i | 1.55580 | + | 0.135847i | ||||
\(479\) | 11.8369 | − | 12.5464i | 0.540843 | − | 0.573260i | −0.398096 | − | 0.917344i | \(-0.630329\pi\) |
0.938939 | + | 0.344084i | \(0.111810\pi\) | |||||||
\(480\) | 16.0060 | − | 1.67940i | 0.730570 | − | 0.0766539i | ||||
\(481\) | 13.2288 | − | 8.70073i | 0.603182 | − | 0.396719i | ||||
\(482\) | 16.1613 | − | 18.1665i | 0.736127 | − | 0.827463i | ||||
\(483\) | −0.197325 | − | 2.64020i | −0.00897861 | − | 0.120133i | ||||
\(484\) | −4.99516 | + | 21.1083i | −0.227053 | + | 0.959468i | ||||
\(485\) | 25.7723 | 1.17026 | ||||||||
\(486\) | 12.0222 | + | 18.4788i | 0.545338 | + | 0.838216i | ||||
\(487\) | 24.3705i | 1.10433i | 0.833734 | + | 0.552166i | \(0.186199\pi\) | ||||
−0.833734 | + | 0.552166i | \(0.813801\pi\) | |||||||
\(488\) | −15.7846 | − | 12.4677i | −0.714535 | − | 0.564388i | ||||
\(489\) | −3.02249 | + | 0.225897i | −0.136682 | + | 0.0102154i | ||||
\(490\) | −5.25479 | + | 5.90679i | −0.237387 | + | 0.266841i | ||||
\(491\) | −1.73770 | − | 2.64205i | −0.0784214 | − | 0.119234i | 0.794147 | − | 0.607725i | \(-0.207918\pi\) |
−0.872569 | + | 0.488491i | \(0.837547\pi\) | |||||||
\(492\) | −37.8956 | − | 6.02888i | −1.70846 | − | 0.271803i | ||||
\(493\) | 4.23320 | + | 3.99382i | 0.190654 | + | 0.179873i | ||||
\(494\) | −1.18249 | + | 13.5425i | −0.0532028 | + | 0.609306i | ||||
\(495\) | 1.80189 | + | 0.708019i | 0.0809887 | + | 0.0318231i | ||||
\(496\) | −31.7970 | − | 18.3291i | −1.42773 | − | 0.823002i | ||||
\(497\) | 11.7537 | + | 23.4036i | 0.527227 | + | 1.04980i | ||||
\(498\) | 24.6131 | + | 18.8063i | 1.10294 | + | 0.842731i | ||||
\(499\) | −11.7841 | − | 27.3187i | −0.527529 | − | 1.22295i | −0.948760 | − | 0.315997i | \(-0.897661\pi\) |
0.421231 | − | 0.906954i | \(-0.361598\pi\) | |||||||
\(500\) | −13.1884 | − | 20.0372i | −0.589805 | − | 0.896090i | ||||
\(501\) | 6.88754 | − | 5.30557i | 0.307712 | − | 0.237036i | ||||
\(502\) | 14.3690 | − | 8.86631i | 0.641319 | − | 0.395723i | ||||
\(503\) | 2.04701 | − | 1.71764i | 0.0912715 | − | 0.0765859i | −0.596010 | − | 0.802977i | \(-0.703248\pi\) |
0.687282 | + | 0.726391i | \(0.258804\pi\) | |||||||
\(504\) | −0.0686704 | − | 16.0920i | −0.00305882 | − | 0.716794i | ||||
\(505\) | −14.7710 | − | 12.3943i | −0.657299 | − | 0.551539i | ||||
\(506\) | −0.443112 | − | 0.0648292i | −0.0196987 | − | 0.00288201i | ||||
\(507\) | −11.6264 | + | 14.3272i | −0.516347 | + | 0.636293i | ||||
\(508\) | −9.21273 | + | 2.18677i | −0.408749 | + | 0.0970224i | ||||
\(509\) | −4.65600 | − | 4.93507i | −0.206374 | − | 0.218743i | 0.615917 | − | 0.787811i | \(-0.288786\pi\) |
−0.822291 | + | 0.569068i | \(0.807304\pi\) | |||||||
\(510\) | 0.165828 | − | 13.2699i | 0.00734301 | − | 0.587601i | ||||
\(511\) | 3.86365 | + | 1.66661i | 0.170918 | + | 0.0737267i | ||||
\(512\) | −21.8474 | + | 5.88992i | −0.965528 | + | 0.260300i | ||||
\(513\) | 9.13626 | + | 4.69080i | 0.403376 | + | 0.207104i | ||||
\(514\) | −13.4863 | + | 1.18221i | −0.594853 | + | 0.0521451i | ||||
\(515\) | −3.04137 | − | 26.0206i | −0.134019 | − | 1.14661i | ||||
\(516\) | 12.2515 | + | 27.1419i | 0.539342 | + | 1.19486i | ||||
\(517\) | −0.353367 | − | 1.49097i | −0.0155411 | − | 0.0655730i | ||||
\(518\) | −3.22244 | + | 8.11540i | −0.141586 | + | 0.356570i | ||||
\(519\) | 9.04869 | − | 5.42431i | 0.397193 | − | 0.238101i | ||||
\(520\) | 22.5850 | − | 0.668712i | 0.990417 | − | 0.0293249i | ||||
\(521\) | −8.10996 | − | 1.43001i | −0.355304 | − | 0.0626497i | −0.00685252 | − | 0.999977i | \(-0.502181\pi\) |
−0.348451 | + | 0.937327i | \(0.613292\pi\) | |||||||
\(522\) | 3.38592 | + | 6.67643i | 0.148198 | + | 0.292220i | ||||
\(523\) | −2.63348 | − | 14.9352i | −0.115154 | − | 0.653072i | −0.986674 | − | 0.162711i | \(-0.947976\pi\) |
0.871519 | − | 0.490361i | \(-0.163135\pi\) | |||||||
\(524\) | −1.23908 | − | 1.66319i | −0.0541296 | − | 0.0726569i | ||||
\(525\) | −6.70052 | + | 3.50408i | −0.292435 | + | 0.152931i | ||||
\(526\) | 27.6652 | − | 14.9230i | 1.20626 | − | 0.650675i | ||||
\(527\) | −18.0724 | + | 24.2755i | −0.787246 | + | 1.05746i | ||||
\(528\) | −2.65893 | − | 0.582333i | −0.115715 | − | 0.0253428i | ||||
\(529\) | 1.29956 | − | 22.3125i | 0.0565025 | − | 0.970110i | ||||
\(530\) | −1.37451 | + | 5.13322i | −0.0597047 | + | 0.222973i | ||||
\(531\) | 5.79668 | − | 17.7160i | 0.251554 | − | 0.768808i | ||||
\(532\) | −3.75056 | − | 6.49105i | −0.162607 | − | 0.281423i | ||||
\(533\) | −52.4202 | − | 12.4238i | −2.27057 | − | 0.538136i | ||||
\(534\) | −6.88584 | + | 4.99381i | −0.297979 | + | 0.216103i | ||||
\(535\) | 8.83666 | − | 0.514677i | 0.382042 | − | 0.0222514i | ||||
\(536\) | 10.8985 | + | 20.1878i | 0.470743 | + | 0.871981i | ||||
\(537\) | 21.9339 | + | 22.4967i | 0.946518 | + | 0.970805i | ||||
\(538\) | 16.8505 | + | 5.58046i | 0.726477 | + | 0.240591i | ||||
\(539\) | 1.15798 | − | 0.668559i | 0.0498777 | − | 0.0287969i | ||||
\(540\) | 5.97556 | − | 15.9900i | 0.257147 | − | 0.688101i | ||||
\(541\) | 23.2343 | + | 13.4143i | 0.998920 | + | 0.576727i | 0.907929 | − | 0.419125i | \(-0.137663\pi\) |
0.0909916 | + | 0.995852i | \(0.470996\pi\) | |||||||
\(542\) | −20.2460 | − | 22.7425i | −0.869641 | − | 0.976873i | ||||
\(543\) | −0.498017 | + | 0.692407i | −0.0213719 | + | 0.0297140i | ||||
\(544\) | 2.71994 | + | 18.4592i | 0.116616 | + | 0.791430i | ||||
\(545\) | 6.65723 | − | 13.2556i | 0.285164 | − | 0.567809i | ||||
\(546\) | 1.59536 | − | 22.5361i | 0.0682751 | − | 0.964454i | ||||
\(547\) | 6.47693 | + | 21.6345i | 0.276934 | + | 0.925023i | 0.977411 | + | 0.211348i | \(0.0677854\pi\) |
−0.700477 | + | 0.713675i | \(0.747029\pi\) | |||||||
\(548\) | 32.7548 | − | 0.0111634i | 1.39922 | − | 0.000476878i | ||||
\(549\) | −19.3019 | + | 9.08903i | −0.823784 | + | 0.387910i | ||||
\(550\) | 0.331241 | + | 1.23537i | 0.0141242 | + | 0.0526762i | ||||
\(551\) | 2.91369 | + | 1.91636i | 0.124127 | + | 0.0816398i | ||||
\(552\) | −0.506042 | + | 3.91605i | −0.0215386 | + | 0.166678i | ||||
\(553\) | 15.1479 | + | 1.77054i | 0.644154 | + | 0.0752909i | ||||
\(554\) | 15.6582 | + | 0.452938i | 0.665255 | + | 0.0192435i | ||||
\(555\) | −6.24477 | + | 6.84072i | −0.265076 | + | 0.290373i | ||||
\(556\) | −18.7343 | − | 8.07363i | −0.794513 | − | 0.342398i | ||||
\(557\) | 9.80272 | + | 3.56790i | 0.415355 | + | 0.151177i | 0.541240 | − | 0.840868i | \(-0.317955\pi\) |
−0.125885 | + | 0.992045i | \(0.540177\pi\) | |||||||
\(558\) | −32.4396 | + | 21.5188i | −1.37328 | + | 0.910963i | ||||
\(559\) | 14.2992 | + | 39.2866i | 0.604790 | + | 1.66165i | ||||
\(560\) | −9.98969 | + | 7.44764i | −0.422141 | + | 0.314720i | ||||
\(561\) | −0.732927 | + | 2.12147i | −0.0309442 | + | 0.0895685i | ||||
\(562\) | −3.97461 | − | 27.1023i | −0.167659 | − | 1.14324i | ||||
\(563\) | 27.3778 | + | 8.19636i | 1.15383 | + | 0.345435i | 0.805882 | − | 0.592077i | \(-0.201692\pi\) |
0.347953 | + | 0.937512i | \(0.386877\pi\) | |||||||
\(564\) | −13.0922 | + | 3.33564i | −0.551280 | + | 0.140456i | ||||
\(565\) | −1.99712 | + | 1.48680i | −0.0840193 | + | 0.0625500i | ||||
\(566\) | −34.2754 | − | 15.9757i | −1.44070 | − | 0.671511i | ||||
\(567\) | −15.3099 | − | 7.54543i | −0.642955 | − | 0.316878i | ||||
\(568\) | −10.1285 | − | 37.7230i | −0.424983 | − | 1.58282i | ||||
\(569\) | −26.8711 | + | 20.0048i | −1.12649 | + | 0.838643i | −0.988415 | − | 0.151778i | \(-0.951500\pi\) |
−0.138079 | + | 0.990421i | \(0.544093\pi\) | |||||||
\(570\) | −1.28294 | − | 7.84813i | −0.0537362 | − | 0.328722i | ||||
\(571\) | −0.699041 | + | 2.33496i | −0.0292540 | + | 0.0977151i | −0.971370 | − | 0.237572i | \(-0.923648\pi\) |
0.942116 | + | 0.335288i | \(0.108833\pi\) | |||||||
\(572\) | −3.66129 | − | 1.09476i | −0.153086 | − | 0.0457742i | ||||
\(573\) | −15.9694 | + | 3.08706i | −0.667133 | + | 0.128964i | ||||
\(574\) | 27.6081 | − | 10.9734i | 1.15234 | − | 0.458022i | ||||
\(575\) | 1.74350 | − | 0.634582i | 0.0727090 | − | 0.0264639i | ||||
\(576\) | −4.74085 | + | 23.5271i | −0.197535 | + | 0.980296i | ||||
\(577\) | 5.13434 | + | 1.86875i | 0.213745 | + | 0.0777969i | 0.446674 | − | 0.894697i | \(-0.352609\pi\) |
−0.232928 | + | 0.972494i | \(0.574831\pi\) | |||||||
\(578\) | −8.65221 | + | 0.253229i | −0.359884 | + | 0.0105329i | ||||
\(579\) | −21.1458 | + | 6.71095i | −0.878791 | + | 0.278897i | ||||
\(580\) | 2.59969 | − | 5.18081i | 0.107946 | − | 0.215121i | ||||
\(581\) | −23.8201 | − | 2.78417i | −0.988223 | − | 0.115507i | ||||
\(582\) | −11.4819 | + | 36.6778i | −0.475941 | + | 1.52035i | ||||
\(583\) | 0.493880 | − | 0.750907i | 0.0204544 | − | 0.0310994i | ||||
\(584\) | −5.14245 | − | 3.59687i | −0.212796 | − | 0.148839i | ||||
\(585\) | 10.0466 | − | 21.7580i | 0.415376 | − | 0.899582i | ||||
\(586\) | −10.7186 | − | 22.9760i | −0.442783 | − | 0.949128i | ||||
\(587\) | 27.5032 | − | 8.23393i | 1.13518 | − | 0.339850i | 0.336545 | − | 0.941667i | \(-0.390741\pi\) |
0.798634 | + | 0.601817i | \(0.205556\pi\) | |||||||
\(588\) | −6.06515 | − | 10.1099i | −0.250123 | − | 0.416925i | ||||
\(589\) | −8.13898 | + | 16.2060i | −0.335361 | + | 0.667758i | ||||
\(590\) | −13.7000 | + | 4.54229i | −0.564021 | + | 0.187003i | ||||
\(591\) | −2.92405 | + | 29.1627i | −0.120279 | + | 1.19959i | ||||
\(592\) | 7.14866 | − | 10.8852i | 0.293808 | − | 0.447377i | ||||
\(593\) | 34.3819 | + | 19.8504i | 1.41190 | + | 0.815159i | 0.995567 | − | 0.0940554i | \(-0.0299831\pi\) |
0.416329 | + | 0.909214i | \(0.363316\pi\) | |||||||
\(594\) | −1.81038 | + | 2.24892i | −0.0742809 | + | 0.0922743i | ||||
\(595\) | 5.13739 | + | 8.89823i | 0.210613 | + | 0.364792i | ||||
\(596\) | −1.89535 | − | 1.78695i | −0.0776364 | − | 0.0731962i | ||||
\(597\) | 3.48276 | − | 0.886080i | 0.142540 | − | 0.0362648i | ||||
\(598\) | −1.12009 | + | 5.42929i | −0.0458041 | + | 0.222020i | ||||
\(599\) | 1.46092 | + | 25.0831i | 0.0596918 | + | 1.02487i | 0.886602 | + | 0.462534i | \(0.153060\pi\) |
−0.826910 | + | 0.562334i | \(0.809903\pi\) | |||||||
\(600\) | 10.8420 | − | 3.10280i | 0.442623 | − | 0.126671i | ||||
\(601\) | 36.4622 | + | 8.64171i | 1.48733 | + | 0.352503i | 0.892388 | − | 0.451269i | \(-0.149029\pi\) |
0.594938 | + | 0.803772i | \(0.297177\pi\) | |||||||
\(602\) | −18.8885 | − | 13.2210i | −0.769836 | − | 0.538849i | ||||
\(603\) | 24.3203 | − | 0.799086i | 0.990399 | − | 0.0325413i | ||||
\(604\) | 16.6511 | + | 13.9623i | 0.677525 | + | 0.568118i | ||||
\(605\) | 1.03584 | − | 17.7846i | 0.0421127 | − | 0.723047i | ||||
\(606\) | 24.2196 | − | 15.4994i | 0.983854 | − | 0.629621i | ||||
\(607\) | −18.7572 | − | 13.9642i | −0.761331 | − | 0.566790i | 0.144964 | − | 0.989437i | \(-0.453694\pi\) |
−0.906294 | + | 0.422647i | \(0.861101\pi\) | |||||||
\(608\) | 3.52586 | + | 10.6102i | 0.142993 | + | 0.430299i | ||||
\(609\) | −4.89402 | − | 3.10493i | −0.198316 | − | 0.125818i | ||||
\(610\) | 14.5421 | + | 7.83785i | 0.588794 | + | 0.317345i | ||||
\(611\) | −18.6797 | + | 3.29374i | −0.755700 | + | 0.133250i | ||||
\(612\) | 18.8112 | + | 6.14792i | 0.760396 | + | 0.248515i | ||||
\(613\) | −29.7509 | − | 5.24589i | −1.20163 | − | 0.211879i | −0.463226 | − | 0.886240i | \(-0.653308\pi\) |
−0.738402 | + | 0.674361i | \(0.764419\pi\) | |||||||
\(614\) | 12.8707 | + | 10.1733i | 0.519419 | + | 0.410560i | ||||
\(615\) | 31.5102 | − | 0.517523i | 1.27062 | − | 0.0208685i | ||||
\(616\) | 2.00011 | − | 0.663900i | 0.0805869 | − | 0.0267493i | ||||
\(617\) | 3.93834 | + | 16.6172i | 0.158552 | + | 0.668982i | 0.993022 | + | 0.117929i | \(0.0376257\pi\) |
−0.834470 | + | 0.551053i | \(0.814226\pi\) | |||||||
\(618\) | 38.3862 | + | 7.26423i | 1.54412 | + | 0.292210i | ||||
\(619\) | −7.96492 | + | 0.930966i | −0.320137 | + | 0.0374187i | −0.274644 | − | 0.961546i | \(-0.588560\pi\) |
−0.0454932 | + | 0.998965i | \(0.514486\pi\) | |||||||
\(620\) | 28.3282 | + | 10.2997i | 1.13769 | + | 0.413645i | ||||
\(621\) | 3.47849 | + | 2.33250i | 0.139587 | + | 0.0936001i | ||||
\(622\) | 27.4764 | − | 19.2461i | 1.10170 | − | 0.771700i | ||||
\(623\) | 2.60845 | − | 6.04706i | 0.104505 | − | 0.242270i | ||||
\(624\) | −9.11025 | + | 32.4397i | −0.364702 | + | 1.29863i | ||||
\(625\) | 5.62114 | + | 5.95806i | 0.224846 | + | 0.238322i | ||||
\(626\) | 22.7478 | + | 28.7592i | 0.909183 | + | 1.14945i | ||||
\(627\) | −0.211769 | + | 1.32819i | −0.00845723 | + | 0.0530429i | ||||
\(628\) | 3.57547 | + | 2.34988i | 0.142677 | + | 0.0937703i | ||||
\(629\) | −8.22613 | − | 6.90254i | −0.327997 | − | 0.275222i | ||||
\(630\) | 2.34606 | + | 13.0063i | 0.0934693 | + | 0.518185i | ||||
\(631\) | 14.6241 | + | 17.4283i | 0.582175 | + | 0.693809i | 0.974082 | − | 0.226196i | \(-0.0726289\pi\) |
−0.391907 | + | 0.920005i | \(0.628185\pi\) | |||||||
\(632\) | −21.5947 | − | 7.14346i | −0.858992 | − | 0.284152i | ||||
\(633\) | −3.79488 | − | 28.4126i | −0.150833 | − | 1.12930i | ||||
\(634\) | 8.64949 | + | 5.33305i | 0.343515 | + | 0.211803i | ||||
\(635\) | 7.14052 | − | 3.08012i | 0.283363 | − | 0.122231i | ||||
\(636\) | −6.69298 | − | 4.24305i | −0.265394 | − | 0.168248i | ||||
\(637\) | −7.42854 | − | 14.7914i | −0.294330 | − | 0.586058i | ||||
\(638\) | −0.693098 | + | 0.693335i | −0.0274400 | + | 0.0274494i | ||||
\(639\) | −40.6037 | − | 8.22510i | −1.60626 | − | 0.325380i | ||||
\(640\) | 16.8331 | − | 7.87384i | 0.665385 | − | 0.311241i | ||||
\(641\) | 2.66575 | + | 2.51501i | 0.105291 | + | 0.0993368i | 0.737087 | − | 0.675798i | \(-0.236201\pi\) |
−0.631796 | + | 0.775134i | \(0.717682\pi\) | |||||||
\(642\) | −3.20439 | + | 12.8052i | −0.126467 | + | 0.505380i | ||||
\(643\) | −8.11628 | + | 5.33816i | −0.320075 | + | 0.210516i | −0.699371 | − | 0.714759i | \(-0.746536\pi\) |
0.379296 | + | 0.925275i | \(0.376166\pi\) | |||||||
\(644\) | −1.21183 | − | 2.80670i | −0.0477527 | − | 0.110600i | ||||
\(645\) | −13.7731 | − | 20.2101i | −0.542314 | − | 0.795770i | ||||
\(646\) | 9.02875 | − | 1.86589i | 0.355231 | − | 0.0734125i | ||||
\(647\) | 38.4661 | 1.51226 | 0.756130 | − | 0.654422i | \(-0.227088\pi\) | ||||
0.756130 | + | 0.654422i | \(0.227088\pi\) | |||||||
\(648\) | 20.0940 | + | 15.6279i | 0.789367 | + | 0.613922i | ||||
\(649\) | 2.44112 | 0.0958222 | ||||||||
\(650\) | 15.5050 | − | 3.20428i | 0.608156 | − | 0.125682i | ||||
\(651\) | 13.0824 | − | 27.1519i | 0.512738 | − | 1.06417i | ||||
\(652\) | −3.21310 | + | 1.38730i | −0.125835 | + | 0.0543307i | ||||
\(653\) | −10.7746 | + | 7.08654i | −0.421641 | + | 0.277318i | −0.742548 | − | 0.669793i | \(-0.766383\pi\) |
0.320907 | + | 0.947111i | \(0.396012\pi\) | |||||||
\(654\) | 15.8988 | + | 15.3798i | 0.621694 | + | 0.601398i | ||||
\(655\) | 1.23898 | + | 1.16892i | 0.0484109 | + | 0.0456733i | ||||
\(656\) | −43.6299 | + | 7.72380i | −1.70346 | + | 0.301564i | ||||
\(657\) | −5.84689 | + | 3.18102i | −0.228109 | + | 0.124103i | ||||
\(658\) | 7.39522 | − | 7.39774i | 0.288296 | − | 0.288394i | ||||
\(659\) | −0.835439 | − | 1.66349i | −0.0325441 | − | 0.0648006i | 0.876773 | − | 0.480904i | \(-0.159692\pi\) |
−0.909317 | + | 0.416104i | \(0.863395\pi\) | |||||||
\(660\) | 2.23358 | + | 0.0925552i | 0.0869420 | + | 0.00360271i | ||||
\(661\) | −16.1285 | + | 6.95715i | −0.627325 | + | 0.270602i | −0.685916 | − | 0.727680i | \(-0.740598\pi\) |
0.0585913 | + | 0.998282i | \(0.481339\pi\) | |||||||
\(662\) | −41.0643 | − | 25.3192i | −1.59601 | − | 0.984058i | ||||
\(663\) | 25.6895 | + | 10.5844i | 0.997696 | + | 0.411066i | ||||
\(664\) | 33.9577 | + | 11.2331i | 1.31781 | + | 0.435929i | ||||
\(665\) | 3.95760 | + | 4.71648i | 0.153469 | + | 0.182897i | ||||
\(666\) | −6.95323 | − | 11.9349i | −0.269432 | − | 0.462467i | ||||
\(667\) | 1.08944 | + | 0.914147i | 0.0421832 | + | 0.0353959i | ||||
\(668\) | 5.51370 | − | 8.38940i | 0.213332 | − | 0.324596i | ||||
\(669\) | −16.5640 | + | 6.33873i | −0.640400 | + | 0.245070i | ||||
\(670\) | −11.6888 | − | 14.7778i | −0.451579 | − | 0.570915i | ||||
\(671\) | −1.91736 | − | 2.03228i | −0.0740187 | − | 0.0784553i | ||||
\(672\) | −6.14855 | − | 17.5348i | −0.237185 | − | 0.676421i | ||||
\(673\) | 2.76668 | − | 6.41389i | 0.106648 | − | 0.247237i | −0.856533 | − | 0.516093i | \(-0.827386\pi\) |
0.963181 | + | 0.268855i | \(0.0866453\pi\) | |||||||
\(674\) | 36.4847 | − | 25.5561i | 1.40534 | − | 0.984385i | ||||
\(675\) | 2.18194 | − | 11.7606i | 0.0839828 | − | 0.452667i | ||||
\(676\) | −7.28007 | + | 20.0231i | −0.280003 | + | 0.770118i | ||||
\(677\) | 4.49331 | − | 0.525192i | 0.172692 | − | 0.0201848i | −0.0293075 | − | 0.999570i | \(-0.509330\pi\) |
0.201999 | + | 0.979386i | \(0.435256\pi\) | |||||||
\(678\) | −1.22619 | − | 3.50458i | −0.0470916 | − | 0.134593i | ||||
\(679\) | −6.86223 | − | 28.9540i | −0.263348 | − | 1.11115i | ||||
\(680\) | −4.82750 | − | 14.5437i | −0.185126 | − | 0.557725i | ||||
\(681\) | 9.86866 | − | 17.7603i | 0.378168 | − | 0.680577i | ||||
\(682\) | −3.99948 | − | 3.16127i | −0.153148 | − | 0.121051i | ||||
\(683\) | 35.6596 | + | 6.28774i | 1.36448 | + | 0.240594i | 0.807467 | − | 0.589913i | \(-0.200838\pi\) |
0.557009 | + | 0.830507i | \(0.311949\pi\) | |||||||
\(684\) | 11.7406 | + | 1.67064i | 0.448914 | + | 0.0638787i | ||||
\(685\) | −26.4924 | + | 4.67132i | −1.01222 | + | 0.178482i | ||||
\(686\) | 24.5617 | + | 13.2382i | 0.937770 | + | 0.505435i | ||||
\(687\) | 1.66905 | − | 39.9492i | 0.0636784 | − | 1.52416i | ||||
\(688\) | 23.6139 | + | 24.9952i | 0.900273 | + | 0.952932i | ||||
\(689\) | −8.92419 | − | 6.64382i | −0.339985 | − | 0.253109i | ||||
\(690\) | −0.148091 | − | 3.23955i | −0.00563774 | − | 0.123328i | ||||
\(691\) | 1.94309 | − | 33.3616i | 0.0739188 | − | 1.26914i | −0.733717 | − | 0.679455i | \(-0.762216\pi\) |
0.807636 | − | 0.589681i | \(-0.200747\pi\) | |||||||
\(692\) | 7.82730 | − | 9.33467i | 0.297549 | − | 0.354851i | ||||
\(693\) | 0.315650 | − | 2.21286i | 0.0119906 | − | 0.0840595i | ||||
\(694\) | −27.3057 | − | 19.1127i | −1.03651 | − | 0.725509i | ||||
\(695\) | 16.3026 | + | 3.86379i | 0.618393 | + | 0.146562i | ||||
\(696\) | 6.21486 | + | 6.00787i | 0.235574 | + | 0.227728i | ||||
\(697\) | 2.12441 | + | 36.4747i | 0.0804677 | + | 1.38158i | ||||
\(698\) | −3.75625 | + | 18.2072i | −0.142176 | + | 0.689152i | ||||
\(699\) | 11.1692 | − | 39.6672i | 0.422457 | − | 1.50035i | ||||
\(700\) | −5.98956 | + | 6.35290i | −0.226384 | + | 0.240117i | ||||
\(701\) | 17.4920 | + | 30.2971i | 0.660665 | + | 1.14431i | 0.980441 | + | 0.196812i | \(0.0630589\pi\) |
−0.319776 | + | 0.947493i | \(0.603608\pi\) | |||||||
\(702\) | 26.4890 | + | 23.9913i | 0.999761 | + | 0.905493i | ||||
\(703\) | −5.57267 | − | 3.21738i | −0.210177 | − | 0.121346i | ||||
\(704\) | −3.12141 | + | 0.368076i | −0.117642 | + | 0.0138724i | ||||
\(705\) | 10.1149 | − | 4.56159i | 0.380949 | − | 0.171799i | ||||
\(706\) | −29.6114 | + | 9.81775i | −1.11444 | + | 0.369496i | ||||
\(707\) | −9.99147 | + | 19.8947i | −0.375768 | + | 0.748215i | ||||
\(708\) | −0.360794 | − | 21.5208i | −0.0135595 | − | 0.808803i | ||||
\(709\) | −42.9931 | + | 12.8713i | −1.61464 | + | 0.483391i | −0.961719 | − | 0.274036i | \(-0.911641\pi\) |
−0.652919 | + | 0.757427i | \(0.726456\pi\) | |||||||
\(710\) | 13.5620 | + | 29.0708i | 0.508972 | + | 1.09101i | ||||
\(711\) | −16.9950 | + | 17.1231i | −0.637362 | + | 0.642168i | ||||
\(712\) | −5.62952 | + | 8.04854i | −0.210975 | + | 0.301632i | ||||
\(713\) | −4.06386 | + | 6.17879i | −0.152193 | + | 0.231398i | ||||
\(714\) | −14.9523 | + | 3.34699i | −0.559575 | + | 0.125258i | ||||
\(715\) | 3.11729 | + | 0.364359i | 0.116580 | + | 0.0136263i | ||||
\(716\) | 32.4269 | + | 16.2715i | 1.21185 | + | 0.608096i | ||||
\(717\) | 8.97434 | − | 40.8435i | 0.335153 | − | 1.52533i | ||||
\(718\) | −35.1471 | + | 1.02867i | −1.31168 | + | 0.0383896i | ||||
\(719\) | −7.92331 | − | 2.88385i | −0.295489 | − | 0.107549i | 0.190022 | − | 0.981780i | \(-0.439144\pi\) |
−0.485511 | + | 0.874231i | \(0.661366\pi\) | |||||||
\(720\) | 0.485845 | − | 19.7049i | 0.0181064 | − | 0.734357i | ||||
\(721\) | −28.4232 | + | 10.3452i | −1.05853 | + | 0.385275i | ||||
\(722\) | −19.8360 | + | 7.88426i | −0.738220 | + | 0.293422i | ||||
\(723\) | −19.5139 | − | 22.4950i | −0.725729 | − | 0.836596i | ||||
\(724\) | −0.282137 | + | 0.943573i | −0.0104855 | + | 0.0350676i | ||||
\(725\) | 1.16491 | − | 3.89106i | 0.0432636 | − | 0.144510i | ||||
\(726\) | 24.8487 | + | 9.39744i | 0.922221 | + | 0.348772i | ||||
\(727\) | 6.93185 | − | 5.16057i | 0.257088 | − | 0.191395i | −0.460897 | − | 0.887454i | \(-0.652472\pi\) |
0.717985 | + | 0.696059i | \(0.245065\pi\) | |||||||
\(728\) | −6.76483 | − | 25.1951i | −0.250721 | − | 0.933794i | ||||
\(729\) | 24.3402 | − | 11.6857i | 0.901488 | − | 0.432804i | ||||
\(730\) | 4.67149 | + | 2.17738i | 0.172899 | + | 0.0805885i | ||||
\(731\) | 22.7437 | − | 16.9320i | 0.841205 | − | 0.626254i | ||||
\(732\) | −17.6332 | + | 17.2037i | −0.651740 | + | 0.635869i | ||||
\(733\) | 31.1489 | + | 9.32535i | 1.15051 | + | 0.344440i | 0.804594 | − | 0.593826i | \(-0.202383\pi\) |
0.345915 | + | 0.938266i | \(0.387568\pi\) | |||||||
\(734\) | −2.72717 | − | 18.5961i | −0.100662 | − | 0.686395i | ||||
\(735\) | 6.34488 | + | 7.31416i | 0.234034 | + | 0.269787i | ||||
\(736\) | 0.925808 | + | 4.46448i | 0.0341257 | + | 0.164563i | ||||
\(737\) | 1.08992 | + | 2.99452i | 0.0401475 | + | 0.110304i | ||||
\(738\) | −13.3017 | + | 45.0743i | −0.489644 | + | 1.65921i | ||||
\(739\) | −6.56714 | − | 2.39024i | −0.241576 | − | 0.0879265i | 0.218395 | − | 0.975861i | \(-0.429918\pi\) |
−0.459971 | + | 0.887934i | \(0.652140\pi\) | |||||||
\(740\) | −4.23286 | + | 9.82207i | −0.155603 | + | 0.361067i | ||||
\(741\) | 16.2613 | + | 3.57302i | 0.597374 | + | 0.131258i | ||||
\(742\) | 6.13293 | + | 0.177404i | 0.225147 | + | 0.00651270i | ||||
\(743\) | 16.3302 | + | 1.90872i | 0.599096 | + | 0.0700243i | 0.410236 | − | 0.911980i | \(-0.365446\pi\) |
0.188861 | + | 0.982004i | \(0.439521\pi\) | |||||||
\(744\) | −27.2786 | + | 35.7266i | −1.00008 | + | 1.30980i | ||||
\(745\) | 1.78742 | + | 1.17560i | 0.0654859 | + | 0.0430707i | ||||
\(746\) | −6.20754 | − | 23.1511i | −0.227274 | − | 0.847621i | ||||
\(747\) | 26.7246 | − | 26.9261i | 0.977803 | − | 0.985176i | ||||
\(748\) | 0.000883309 | 2.59173i | 3.22970e−5 | 0.0947632i | ||||||
\(749\) | −2.93110 | − | 9.79055i | −0.107100 | − | 0.357739i | ||||
\(750\) | −26.4169 | + | 12.8562i | −0.964608 | + | 0.469444i | ||||
\(751\) | −18.2641 | + | 36.3669i | −0.666468 | + | 1.32705i | 0.265361 | + | 0.964149i | \(0.414509\pi\) |
−0.931829 | + | 0.362898i | \(0.881787\pi\) | |||||||
\(752\) | −13.0282 | + | 8.58149i | −0.475089 | + | 0.312935i | ||||
\(753\) | −8.50122 | − | 18.8507i | −0.309802 | − | 0.686957i | ||||
\(754\) | 8.06932 | + | 9.06431i | 0.293867 | + | 0.330103i | ||||
\(755\) | −15.4558 | − | 8.92340i | −0.562493 | − | 0.324756i | ||||
\(756\) | −19.5552 | − | 2.45571i | −0.711214 | − | 0.0893133i | ||||
\(757\) | 32.7442 | − | 18.9049i | 1.19011 | − | 0.687109i | 0.231777 | − | 0.972769i | \(-0.425546\pi\) |
0.958331 | + | 0.285660i | \(0.0922127\pi\) | |||||||
\(758\) | 6.47872 | + | 2.14559i | 0.235318 | + | 0.0779313i | ||||
\(759\) | −0.148655 | + | 0.527947i | −0.00539584 | + | 0.0191633i | ||||
\(760\) | −4.36216 | − | 8.08024i | −0.158232 | − | 0.293101i | ||||
\(761\) | −50.0751 | + | 2.91654i | −1.81522 | + | 0.105725i | −0.931826 | − | 0.362904i | \(-0.881785\pi\) |
−0.883395 | + | 0.468629i | \(0.844748\pi\) | |||||||
\(762\) | 1.20227 | + | 11.5343i | 0.0435535 | + | 0.417842i | ||||
\(763\) | −16.6647 | − | 3.94960i | −0.603302 | − | 0.142985i | ||||
\(764\) | −16.2619 | + | 9.39619i | −0.588334 | + | 0.339942i | ||||
\(765\) | −16.0906 | − | 2.29523i | −0.581758 | − | 0.0829842i | ||||
\(766\) | −6.88388 | + | 25.7085i | −0.248725 | + | 0.928886i | ||||
\(767\) | 1.75704 | − | 30.1672i | 0.0634430 | − | 1.08927i | ||||
\(768\) | 3.70629 | + | 27.4639i | 0.133739 | + | 0.991017i | ||||
\(769\) | 14.6394 | − | 19.6642i | 0.527912 | − | 0.709109i | −0.455553 | − | 0.890209i | \(-0.650558\pi\) |
0.983465 | + | 0.181100i | \(0.0579658\pi\) | |||||||
\(770\) | −1.52331 | + | 0.821695i | −0.0548962 | + | 0.0296118i | ||||
\(771\) | −0.692123 | + | 16.5661i | −0.0249262 | + | 0.596614i | ||||
\(772\) | −20.5430 | + | 15.3046i | −0.739359 | + | 0.550824i | ||||
\(773\) | 7.43592 | + | 42.1712i | 0.267452 | + | 1.51679i | 0.761962 | + | 0.647622i | \(0.224236\pi\) |
−0.494511 | + | 0.869172i | \(0.664653\pi\) | |||||||
\(774\) | 34.8980 | − | 10.5973i | 1.25438 | − | 0.380911i | ||||
\(775\) | 20.8005 | + | 3.66769i | 0.747176 | + | 0.131747i | ||||
\(776\) | 1.31342 | + | 44.3592i | 0.0471490 | + | 1.59240i | ||||
\(777\) | 9.34800 | + | 5.19428i | 0.335358 | + | 0.186344i | ||||
\(778\) | −14.8230 | + | 37.3302i | −0.531429 | + | 1.33835i | ||||
\(779\) | 5.04902 | + | 21.3035i | 0.180900 | + | 0.763277i | ||||
\(780\) | 2.75145 | − | 27.5358i | 0.0985178 | − | 0.985941i | ||||
\(781\) | −0.629856 | − | 5.38877i | −0.0225380 | − | 0.192825i | ||||
\(782\) | 3.74535 | − | 0.328319i | 0.133934 | − | 0.0117407i | ||||
\(783\) | 8.64304 | − | 3.05888i | 0.308877 | − | 0.109315i | ||||
\(784\) | −10.4345 | − | 8.74350i | −0.372662 | − | 0.312268i | ||||
\(785\) | −3.22652 | − | 1.39179i | −0.115159 | − | 0.0496749i | ||||
\(786\) | −2.21552 | + | 1.24248i | −0.0790251 | + | 0.0443179i | ||||
\(787\) | 7.01704 | + | 7.43763i | 0.250130 | + | 0.265123i | 0.840257 | − | 0.542188i | \(-0.182404\pi\) |
−0.590127 | + | 0.807310i | \(0.700922\pi\) | |||||||
\(788\) | 7.81597 | + | 32.9281i | 0.278432 | + | 1.17302i | ||||
\(789\) | −13.7594 | − | 35.9551i | −0.489846 | − | 1.28004i | ||||
\(790\) | 18.4838 | + | 2.70427i | 0.657626 | + | 0.0962135i | ||||
\(791\) | 2.20211 | + | 1.84779i | 0.0782980 | + | 0.0656998i | ||||
\(792\) | −1.12681 | + | 3.13748i | −0.0400395 | + | 0.111486i | ||||
\(793\) | −26.4948 | + | 22.2318i | −0.940860 | + | 0.789475i | ||||
\(794\) | −1.16503 | + | 0.718875i | −0.0413453 | + | 0.0255119i | ||||
\(795\) | 6.01762 | + | 2.47935i | 0.213423 | + | 0.0879334i | ||||
\(796\) | 3.46622 | − | 2.28146i | 0.122857 | − | 0.0808641i | ||||
\(797\) | −6.68276 | − | 15.4924i | −0.236715 | − | 0.548768i | 0.757904 | − | 0.652366i | \(-0.226224\pi\) |
−0.994619 | + | 0.103598i | \(0.966964\pi\) | |||||||
\(798\) | −8.47542 | + | 3.53099i | −0.300027 | + | 0.124996i | ||||
\(799\) | 5.77340 | + | 11.4958i | 0.204248 | + | 0.406692i | ||||
\(800\) | 10.6605 | − | 7.47811i | 0.376906 | − | 0.264391i | ||||
\(801\) | 4.97867 | + | 9.15107i | 0.175913 | + | 0.323337i | ||||
\(802\) | −0.225113 | + | 2.57811i | −0.00794902 | + | 0.0910363i | ||||
\(803\) | −0.634048 | − | 0.598193i | −0.0223751 | − | 0.0211098i | ||||
\(804\) | 26.2385 | − | 10.0513i | 0.925361 | − | 0.354480i | ||||
\(805\) | 1.37970 | + | 2.09773i | 0.0486280 | + | 0.0739354i | ||||
\(806\) | −41.9455 | + | 47.1500i | −1.47747 | + | 1.66079i | ||||
\(807\) | 9.43648 | − | 19.5850i | 0.332180 | − | 0.689426i | ||||
\(808\) | 20.5803 | − | 26.0554i | 0.724011 | − | 0.916624i | ||||
\(809\) | − | 1.88052i | − | 0.0661155i | −0.999453 | − | 0.0330577i | \(-0.989475\pi\) | ||
0.999453 | − | 0.0330577i | \(-0.0105245\pi\) | |||||||
\(810\) | −18.4776 | − | 9.78058i | −0.649238 | − | 0.343654i | ||||
\(811\) | 38.0760 | 1.33703 | 0.668514 | − | 0.743699i | \(-0.266931\pi\) | ||||
0.668514 | + | 0.743699i | \(0.266931\pi\) | |||||||
\(812\) | −6.51261 | − | 1.54117i | −0.228548 | − | 0.0540845i | ||||
\(813\) | −30.8162 | + | 21.0011i | −1.08077 | + | 0.736541i | ||||
\(814\) | 1.20232 | − | 1.35150i | 0.0421412 | − | 0.0473700i | ||||
\(815\) | 2.40148 | − | 1.57948i | 0.0841200 | − | 0.0553266i | ||||
\(816\) | 22.8485 | − | 0.390842i | 0.799859 | − | 0.0136822i | ||||
\(817\) | 11.6597 | − | 12.3586i | 0.407922 | − | 0.432372i | ||||
\(818\) | −33.2658 | − | 2.90467i | −1.16311 | − | 0.101559i | ||||
\(819\) | −27.1192 | − | 5.49353i | −0.947620 | − | 0.191960i | ||||
\(820\) | 34.1910 | − | 12.4577i | 1.19400 | − | 0.435042i | ||||
\(821\) | 31.8159 | − | 15.9786i | 1.11038 | − | 0.557656i | 0.203516 | − | 0.979072i | \(-0.434763\pi\) |
0.906867 | + | 0.421416i | \(0.138467\pi\) | |||||||
\(822\) | 5.15474 | − | 39.7837i | 0.179792 | − | 1.38762i | ||||
\(823\) | −20.4990 | + | 8.84242i | −0.714551 | + | 0.308227i | −0.722143 | − | 0.691744i | \(-0.756843\pi\) |
0.00759155 | + | 0.999971i | \(0.497584\pi\) | |||||||
\(824\) | 44.6316 | − | 6.56088i | 1.55482 | − | 0.228559i | ||||
\(825\) | 1.55266 | − | 0.207379i | 0.0540568 | − | 0.00722002i | ||||
\(826\) | 8.75088 | + | 14.1819i | 0.304482 | + | 0.493452i | ||||
\(827\) | −18.5089 | − | 22.0581i | −0.643619 | − | 0.767035i | 0.341318 | − | 0.939948i | \(-0.389127\pi\) |
−0.984937 | + | 0.172913i | \(0.944682\pi\) | |||||||
\(828\) | 4.67634 | + | 1.23251i | 0.162514 | + | 0.0428327i | ||||
\(829\) | −18.1210 | + | 21.5957i | −0.629367 | + | 0.750051i | −0.982651 | − | 0.185466i | \(-0.940621\pi\) |
0.353283 | + | 0.935516i | \(0.385065\pi\) | |||||||
\(830\) | −29.0658 | − | 4.25246i | −1.00889 | − | 0.147605i | ||||
\(831\) | 3.02079 | − | 18.9461i | 0.104790 | − | 0.657232i | ||||
\(832\) | 2.30197 | + | 38.8391i | 0.0798064 | + | 1.34650i | ||||
\(833\) | −8.16526 | + | 7.70352i | −0.282909 | + | 0.266911i | ||||
\(834\) | −12.7618 | + | 21.4796i | −0.441904 | + | 0.743779i | ||||
\(835\) | −3.26566 | + | 7.57064i | −0.113013 | + | 0.261993i | ||||
\(836\) | 0.270203 | + | 1.52935i | 0.00934518 | + | 0.0528937i | ||||
\(837\) | 21.0168 | + | 42.7945i | 0.726448 | + | 1.47919i | ||||
\(838\) | −0.359550 | + | 0.0315183i | −0.0124205 | + | 0.00108878i | ||||
\(839\) | 36.5324 | − | 4.27002i | 1.26124 | − | 0.147418i | 0.540928 | − | 0.841069i | \(-0.318073\pi\) |
0.720311 | + | 0.693652i | \(0.243999\pi\) | |||||||
\(840\) | 7.46919 | + | 13.3080i | 0.257712 | + | 0.459170i | ||||
\(841\) | −25.1889 | + | 5.96989i | −0.868584 | + | 0.205858i | ||||
\(842\) | 26.6487 | + | 10.5816i | 0.918373 | + | 0.364665i | ||||
\(843\) | −33.5439 | + | 0.550923i | −1.15531 | + | 0.0189748i | ||||
\(844\) | −14.8650 | − | 29.5736i | −0.511676 | − | 1.01797i | ||||
\(845\) | 3.03847 | − | 17.2320i | 0.104527 | − | 0.592800i | ||||
\(846\) | 1.98549 | + | 16.4273i | 0.0682624 | + | 0.564781i | ||||
\(847\) | −20.2560 | + | 3.57168i | −0.696005 | + | 0.122724i | ||||
\(848\) | −8.90533 | − | 2.10419i | −0.305810 | − | 0.0722583i | ||||
\(849\) | −24.8114 | + | 39.1080i | −0.851524 | + | 1.34218i | ||||
\(850\) | −5.09776 | − | 9.45053i | −0.174852 | − | 0.324150i | ||||
\(851\) | −2.10484 | − | 1.56700i | −0.0721531 | − | 0.0537160i | ||||
\(852\) | −47.4142 | + | 6.34925i | −1.62438 | + | 0.217522i | ||||
\(853\) | −53.4275 | − | 3.11180i | −1.82932 | − | 0.106546i | −0.891363 | − | 0.453290i | \(-0.850250\pi\) |
−0.937960 | + | 0.346744i | \(0.887287\pi\) | |||||||
\(854\) | 4.93343 | − | 18.4244i | 0.168818 | − | 0.630469i | ||||
\(855\) | −9.73429 | + | 0.319837i | −0.332906 | + | 0.0109382i | ||||
\(856\) | 1.33620 | + | 15.1834i | 0.0456703 | + | 0.518958i | ||||
\(857\) | −10.1962 | + | 43.0213i | −0.348296 | + | 1.46958i | 0.463740 | + | 0.885971i | \(0.346507\pi\) |
−0.812036 | + | 0.583607i | \(0.801641\pi\) | |||||||
\(858\) | −1.90733 | + | 4.27404i | −0.0651153 | + | 0.145913i | ||||
\(859\) | 1.85216 | + | 31.8003i | 0.0631947 | + | 1.08501i | 0.869635 | + | 0.493696i | \(0.164354\pi\) |
−0.806440 | + | 0.591316i | \(0.798609\pi\) | |||||||
\(860\) | −22.6581 | − | 16.8563i | −0.772635 | − | 0.574796i | ||||
\(861\) | −8.97145 | − | 35.2625i | −0.305746 | − | 1.20174i | ||||
\(862\) | −33.3545 | − | 11.0462i | −1.13606 | − | 0.376234i | ||||
\(863\) | 5.85786 | + | 10.1461i | 0.199404 | + | 0.345378i | 0.948335 | − | 0.317270i | \(-0.102766\pi\) |
−0.748931 | + | 0.662648i | \(0.769433\pi\) | |||||||
\(864\) | 27.8265 | + | 9.47023i | 0.946677 | + | 0.322184i | ||||
\(865\) | −5.00248 | + | 8.66454i | −0.170089 | + | 0.294603i | ||||
\(866\) | 8.00083 | − | 7.12258i | 0.271879 | − | 0.242035i | ||||
\(867\) | −1.05765 | + | 10.5484i | −0.0359198 | + | 0.358242i | ||||
\(868\) | 4.02846 | − | 34.5679i | 0.136735 | − | 1.17331i | ||||
\(869\) | −2.82338 | − | 1.41796i | −0.0957768 | − | 0.0481009i | ||||
\(870\) | −5.88209 | − | 3.97489i | −0.199422 | − | 0.134761i | ||||
\(871\) | 37.7906 | − | 11.3138i | 1.28048 | − | 0.383352i | ||||
\(872\) | 23.1548 | + | 10.7829i | 0.784121 | + | 0.365154i | ||||
\(873\) | 42.7349 | + | 19.7325i | 1.44636 | + | 0.667846i | ||||
\(874\) | 2.17606 | − | 0.583470i | 0.0736062 | − | 0.0197362i | ||||
\(875\) | 12.4993 | − | 19.0043i | 0.422553 | − | 0.642461i | ||||
\(876\) | −5.17995 | + | 5.67817i | −0.175014 | + | 0.191847i | ||||
\(877\) | 0.154246 | − | 1.31966i | 0.00520851 | − | 0.0445616i | −0.990384 | − | 0.138345i | \(-0.955822\pi\) |
0.995593 | + | 0.0937829i | \(0.0298960\pi\) | |||||||
\(878\) | −31.0145 | − | 0.897139i | −1.04669 | − | 0.0302770i | ||||
\(879\) | −29.5964 | + | 9.39287i | −0.998263 | + | 0.316814i | ||||
\(880\) | 2.47238 | − | 0.742019i | 0.0833439 | − | 0.0250135i | ||||
\(881\) | 18.7981 | − | 51.6474i | 0.633325 | − | 1.74005i | −0.0384191 | − | 0.999262i | \(-0.512232\pi\) |
0.671744 | − | 0.740784i | \(-0.265546\pi\) | |||||||
\(882\) | −13.2359 | + | 5.77114i | −0.445675 | + | 0.194325i | ||||
\(883\) | −19.5995 | + | 7.13362i | −0.659575 | + | 0.240066i | −0.650053 | − | 0.759889i | \(-0.725253\pi\) |
−0.00952191 | + | 0.999955i | \(0.503031\pi\) | |||||||
\(884\) | 32.0291 | + | 1.85453i | 1.07726 | + | 0.0623747i | ||||
\(885\) | 3.35509 | + | 17.3559i | 0.112780 | + | 0.583413i | ||||
\(886\) | −6.12183 | − | 41.7438i | −0.205667 | − | 1.40241i | ||||
\(887\) | 3.98634 | − | 13.3153i | 0.133848 | − | 0.447084i | −0.864619 | − | 0.502428i | \(-0.832440\pi\) |
0.998467 | + | 0.0553437i | \(0.0176255\pi\) | |||||||
\(888\) | −12.0925 | − | 10.3999i | −0.405797 | − | 0.348997i | ||||
\(889\) | −5.36164 | − | 7.20193i | −0.179824 | − | 0.241545i | ||||
\(890\) | 3.40785 | − | 7.31142i | 0.114232 | − | 0.245079i | ||||
\(891\) | 2.44574 | + | 2.55363i | 0.0819355 | + | 0.0855498i | ||||
\(892\) | −15.6834 | + | 13.1690i | −0.525119 | + | 0.440932i | ||||
\(893\) | 4.60321 | + | 6.18318i | 0.154041 | + | 0.206912i | ||||
\(894\) | −2.46938 | + | 2.02001i | −0.0825883 | + | 0.0675593i | ||||
\(895\) | −28.5448 | − | 8.54575i | −0.954147 | − | 0.285653i | ||||
\(896\) | −13.3279 | − | 16.8147i | −0.445255 | − | 0.561738i | ||||
\(897\) | 6.41735 | + | 2.21707i | 0.214269 | + | 0.0740259i | ||||
\(898\) | 1.54621 | + | 3.89011i | 0.0515977 | + | 0.129815i | ||||
\(899\) | 5.53715 | + | 15.2132i | 0.184674 | + | 0.507389i | ||||
\(900\) | −2.05773 | − | 13.6576i | −0.0685911 | − | 0.455254i | ||||
\(901\) | −2.58072 | + | 7.09046i | −0.0859761 | + | 0.236217i | ||||
\(902\) | −6.15196 | + | 0.180053i | −0.204838 | + | 0.00599511i | ||||
\(903\) | −19.0378 | + | 20.8546i | −0.633539 | + | 0.693999i | ||||
\(904\) | −2.66085 | − | 3.36166i | −0.0884985 | − | 0.111807i | ||||
\(905\) | 0.0939011 | − | 0.803375i | 0.00312138 | − | 0.0267051i | ||||
\(906\) | 19.5851 | − | 18.0204i | 0.650671 | − | 0.598687i | ||||
\(907\) | −8.22748 | − | 5.41130i | −0.273189 | − | 0.179679i | 0.405521 | − | 0.914086i | \(-0.367090\pi\) |
−0.678710 | + | 0.734407i | \(0.737461\pi\) | |||||||
\(908\) | 4.06611 | − | 23.1061i | 0.134939 | − | 0.766804i | ||||
\(909\) | −15.0031 | − | 31.8613i | −0.497621 | − | 1.05677i | ||||
\(910\) | 9.05803 | + | 19.4164i | 0.300271 | + | 0.643647i | ||||
\(911\) | −9.78456 | − | 32.6827i | −0.324177 | − | 1.08283i | −0.952415 | − | 0.304805i | \(-0.901409\pi\) |
0.628238 | − | 0.778021i | \(-0.283776\pi\) | |||||||
\(912\) | 13.4428 | − | 2.60814i | 0.445135 | − | 0.0863642i | ||||
\(913\) | 4.43977 | + | 2.22974i | 0.146935 | + | 0.0737935i | ||||
\(914\) | 10.9811 | + | 33.1202i | 0.363223 | + | 1.09552i | ||||
\(915\) | 11.8139 | − | 16.4253i | 0.390557 | − | 0.543002i | ||||
\(916\) | −13.2567 | − | 44.2254i | −0.438012 | − | 1.46125i | ||||
\(917\) | 0.983329 | − | 1.70318i | 0.0324724 | − | 0.0562438i | ||||
\(918\) | 10.4351 | − | 21.8768i | 0.344408 | − | 0.722042i | ||||
\(919\) | −36.8438 | + | 21.2718i | −1.21536 | + | 0.701691i | −0.963923 | − | 0.266182i | \(-0.914238\pi\) |
−0.251441 | + | 0.967873i | \(0.580904\pi\) | |||||||
\(920\) | −1.38432 | − | 3.47935i | −0.0456396 | − | 0.114711i | ||||
\(921\) | 14.3867 | − | 14.0267i | 0.474056 | − | 0.462197i | ||||
\(922\) | −50.7485 | − | 10.4697i | −1.67131 | − | 0.344802i | ||||
\(923\) | −67.0474 | + | 3.90507i | −2.20689 | + | 0.128537i | ||||
\(924\) | −0.490740 | − | 2.53397i | −0.0161441 | − | 0.0833615i | ||||
\(925\) | −1.72833 | + | 7.29240i | −0.0568272 | + | 0.239773i | ||||
\(926\) | −48.0209 | − | 33.6124i | −1.57806 | − | 1.10457i | ||||
\(927\) | 14.8795 | − | 45.4753i | 0.488708 | − | 1.49360i | ||||
\(928\) | 9.04967 | + | 4.21055i | 0.297070 | + | 0.138218i | ||||
\(929\) | 27.6189 | + | 1.60862i | 0.906146 | + | 0.0527770i | 0.504885 | − | 0.863187i | \(-0.331535\pi\) |
0.401261 | + | 0.915964i | \(0.368572\pi\) | |||||||
\(930\) | 16.9792 | − | 32.7805i | 0.556770 | − | 1.07492i | ||||
\(931\) | −4.01692 | + | 5.39566i | −0.131649 | + | 0.176836i | ||||
\(932\) | −2.78300 | − | 47.5034i | −0.0911602 | − | 1.55602i | ||||
\(933\) | −19.0397 | − | 36.4079i | −0.623333 | − | 1.19194i | ||||
\(934\) | 25.9428 | + | 13.9825i | 0.848873 | + | 0.457522i | ||||
\(935\) | −0.369620 | − | 2.09622i | −0.0120879 | − | 0.0685536i | ||||
\(936\) | 37.9618 | + | 16.1833i | 1.24082 | + | 0.528969i | ||||
\(937\) | 6.31006 | − | 35.7861i | 0.206141 | − | 1.16908i | −0.689494 | − | 0.724291i | \(-0.742167\pi\) |
0.895635 | − | 0.444790i | \(-0.146722\pi\) | |||||||
\(938\) | −13.4898 | + | 17.0667i | −0.440459 | + | 0.557247i | ||||
\(939\) | 38.5184 | − | 23.0902i | 1.25700 | − | 0.753520i | ||||
\(940\) | 9.31645 | − | 8.79562i | 0.303869 | − | 0.286881i | ||||
\(941\) | 47.1988 | − | 11.1863i | 1.53864 | − | 0.364664i | 0.628114 | − | 0.778122i | \(-0.283827\pi\) |
0.910523 | + | 0.413458i | \(0.135679\pi\) | |||||||
\(942\) | 3.41818 | − | 3.97176i | 0.111370 | − | 0.129407i | ||||
\(943\) | 1.03650 | + | 8.86783i | 0.0337531 | + | 0.288776i | ||||
\(944\) | −8.51636 | − | 23.3490i | −0.277184 | − | 0.759944i | ||||
\(945\) | 16.1669 | − | 0.797145i | 0.525908 | − | 0.0259311i | ||||
\(946\) | 2.74024 | + | 3.91205i | 0.0890930 | + | 0.127192i | ||||
\(947\) | −11.8465 | − | 5.11008i | −0.384959 | − | 0.166055i | 0.194800 | − | 0.980843i | \(-0.437594\pi\) |
−0.579759 | + | 0.814788i | \(0.696853\pi\) | |||||||
\(948\) | −12.0834 | + | 25.1005i | −0.392450 | + | 0.815226i | ||||
\(949\) | −7.84881 | + | 7.40497i | −0.254783 | + | 0.240375i | ||||
\(950\) | −3.99168 | − | 5.04653i | −0.129507 | − | 0.163731i | ||||
\(951\) | 7.84198 | − | 9.66365i | 0.254294 | − | 0.313365i | ||||
\(952\) | −15.0538 | + | 9.29594i | −0.487896 | + | 0.301283i | ||||
\(953\) | 8.32089 | − | 9.91646i | 0.269540 | − | 0.321226i | −0.614248 | − | 0.789113i | \(-0.710540\pi\) |
0.883788 | + | 0.467888i | \(0.154985\pi\) | |||||||
\(954\) | −6.20941 | + | 7.45938i | −0.201037 | + | 0.241506i | ||||
\(955\) | 11.8161 | − | 9.91488i | 0.382360 | − | 0.320838i | ||||
\(956\) | −5.62213 | − | 47.9587i | −0.181833 | − | 1.55109i | ||||
\(957\) | 0.732719 | + | 0.951194i | 0.0236854 | + | 0.0307477i | ||||
\(958\) | −20.7640 | − | 12.8026i | −0.670856 | − | 0.413632i | ||||
\(959\) | 12.3020 | + | 28.5192i | 0.397251 | + | 0.920932i | ||||
\(960\) | −6.90704 | − | 21.6868i | −0.222924 | − | 0.699938i | ||||
\(961\) | −47.5305 | + | 23.8707i | −1.53324 | + | 0.770023i | ||||
\(962\) | −15.8363 | − | 15.8309i | −0.510584 | − | 0.510410i | ||||
\(963\) | 15.0468 | + | 5.91236i | 0.484875 | + | 0.190523i | ||||
\(964\) | −29.7853 | − | 17.1830i | −0.959320 | − | 0.553428i | ||||
\(965\) | 14.4379 | − | 15.3033i | 0.464773 | − | 0.492630i | ||||
\(966\) | −3.60006 | + | 1.02895i | −0.115830 | + | 0.0331059i | ||||
\(967\) | 6.37937 | + | 9.69936i | 0.205147 | + | 0.311910i | 0.923377 | − | 0.383895i | \(-0.125418\pi\) |
−0.718230 | + | 0.695806i | \(0.755047\pi\) | |||||||
\(968\) | 30.6636 | + | 0.876530i | 0.985565 | + | 0.0281728i | ||||
\(969\) | −0.841572 | − | 11.2602i | −0.0270352 | − | 0.361729i | ||||
\(970\) | −7.37642 | − | 35.6933i | −0.236843 | − | 1.14604i | ||||
\(971\) | 21.2607i | 0.682287i | 0.940011 | + | 0.341143i | \(0.110814\pi\) | ||||
−0.940011 | + | 0.341143i | \(0.889186\pi\) | |||||||
\(972\) | 22.1513 | − | 21.9390i | 0.710502 | − | 0.703695i | ||||
\(973\) | − | 19.3440i | − | 0.620141i | ||||||
\(974\) | 33.7518 | − | 6.97519i | 1.08148 | − | 0.223500i | ||||
\(975\) | −1.44522 | − | 19.3370i | −0.0462842 | − | 0.619280i | ||||
\(976\) | −12.7494 | + | 25.4293i | −0.408098 | + | 0.813972i | ||||
\(977\) | −31.6088 | − | 48.0588i | −1.01126 | − | 1.53754i | −0.832787 | − | 0.553593i | \(-0.813256\pi\) |
−0.178468 | − | 0.983946i | \(-0.557114\pi\) | |||||||
\(978\) | 1.17794 | + | 4.12134i | 0.0376663 | + | 0.131786i | ||||
\(979\) | −0.936242 | + | 0.992359i | −0.0299224 | + | 0.0317159i | ||||
\(980\) | 9.68459 | + | 5.58700i | 0.309363 | + | 0.178470i | ||||
\(981\) | 21.1880 | − | 16.8830i | 0.676480 | − | 0.539033i | ||||
\(982\) | −3.16174 | + | 3.16282i | −0.100895 | + | 0.100930i | ||||
\(983\) | −9.78255 | + | 4.91298i | −0.312015 | + | 0.156700i | −0.597915 | − | 0.801560i | \(-0.704004\pi\) |
0.285900 | + | 0.958260i | \(0.407708\pi\) | |||||||
\(984\) | 2.49660 | + | 54.2089i | 0.0795885 | + | 1.72812i | ||||
\(985\) | −11.0090 | − | 25.5216i | −0.350775 | − | 0.813187i | ||||
\(986\) | 4.31963 | − | 7.00585i | 0.137565 | − | 0.223112i | ||||
\(987\) | −7.81797 | − | 10.1491i | −0.248849 | − | 0.323048i | ||||
\(988\) | 19.0941 | − | 2.23838i | 0.607465 | − | 0.0712123i | ||||
\(989\) | 5.30775 | − | 4.45373i | 0.168777 | − | 0.141620i | ||||
\(990\) | 0.464843 | − | 2.69816i | 0.0147737 | − | 0.0857533i | ||||
\(991\) | −21.6667 | + | 25.8213i | −0.688264 | + | 0.820241i | −0.991145 | − | 0.132787i | \(-0.957607\pi\) |
0.302880 | + | 0.953029i | \(0.402052\pi\) | |||||||
\(992\) | −16.2841 | + | 49.2833i | −0.517021 | + | 1.56475i | ||||
\(993\) | −37.2306 | + | 45.8791i | −1.18148 | + | 1.45593i | ||||
\(994\) | 29.0487 | − | 22.9768i | 0.921369 | − | 0.728779i | ||||
\(995\) | −2.47893 | + | 2.33875i | −0.0785874 | + | 0.0741434i | ||||
\(996\) | 19.0011 | − | 39.4705i | 0.602074 | − | 1.25067i | ||||
\(997\) | 35.4904 | + | 15.3091i | 1.12399 | + | 0.484843i | 0.875223 | − | 0.483720i | \(-0.160715\pi\) |
0.248769 | + | 0.968563i | \(0.419974\pi\) | |||||||
\(998\) | −34.4621 | + | 24.1394i | −1.09088 | + | 0.764119i | ||||
\(999\) | −15.5925 | + | 6.56179i | −0.493325 | + | 0.207606i |
(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 | 648.2.bb.b.155.46 | ✓ | 1872 | |
8.3 | odd | 2 | inner | 648.2.bb.b.155.87 | yes | 1872 | |
81.23 | odd | 54 | inner | 648.2.bb.b.347.87 | yes | 1872 | |
648.347 | even | 54 | inner | 648.2.bb.b.347.46 | yes | 1872 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
648.2.bb.b.155.46 | ✓ | 1872 | 1.1 | even | 1 | trivial | |
648.2.bb.b.155.87 | yes | 1872 | 8.3 | odd | 2 | inner | |
648.2.bb.b.347.46 | yes | 1872 | 648.347 | even | 54 | inner | |
648.2.bb.b.347.87 | yes | 1872 | 81.23 | odd | 54 | inner |