Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [143,2,Mod(14,143)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(143, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([8, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("143.14");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 143 = 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 143.h (of order \(5\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.14186074890\) |
Analytic rank: | \(0\) |
Dimension: | \(28\) |
Relative dimension: | \(7\) over \(\Q(\zeta_{5})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 27.7 | ||
Character | \(\chi\) | \(=\) | 143.27 |
Dual form | 143.2.h.c.53.7 |
$q$-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 \(\left(\mathbb{Z}/143\mathbb{Z}\right)^\times\).
\(n\) | \(67\) | \(79\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.762214 | + | 2.34585i | 0.538967 | + | 1.65877i | 0.734918 | + | 0.678156i | \(0.237221\pi\) |
−0.195951 | + | 0.980614i | \(0.562779\pi\) | |||||||
\(3\) | −2.07347 | − | 1.50647i | −1.19712 | − | 0.869758i | −0.203121 | − | 0.979154i | \(-0.565109\pi\) |
−0.993998 | + | 0.109395i | \(0.965109\pi\) | |||||||
\(4\) | −3.30403 | + | 2.40052i | −1.65202 | + | 1.20026i | ||||
\(5\) | −0.598707 | + | 1.84263i | −0.267750 | + | 0.824050i | 0.723297 | + | 0.690537i | \(0.242626\pi\) |
−0.991047 | + | 0.133513i | \(0.957374\pi\) | |||||||
\(6\) | 1.95352 | − | 6.01232i | 0.797521 | − | 2.45452i | ||||
\(7\) | −2.84556 | + | 2.06742i | −1.07552 | + | 0.781411i | −0.976896 | − | 0.213714i | \(-0.931444\pi\) |
−0.0986233 | + | 0.995125i | \(0.531444\pi\) | |||||||
\(8\) | −4.15864 | − | 3.02143i | −1.47030 | − | 1.06824i | ||||
\(9\) | 1.10280 | + | 3.39406i | 0.367599 | + | 1.13135i | ||||
\(10\) | −4.77889 | −1.51122 | ||||||||
\(11\) | 1.29945 | − | 3.05146i | 0.391800 | − | 0.920051i | ||||
\(12\) | 10.4671 | 3.02160 | ||||||||
\(13\) | 0.309017 | + | 0.951057i | 0.0857059 | + | 0.263776i | ||||
\(14\) | −7.01879 | − | 5.09945i | −1.87585 | − | 1.36288i | ||||
\(15\) | 4.01727 | − | 2.91871i | 1.03725 | − | 0.753609i | ||||
\(16\) | 1.39400 | − | 4.29030i | 0.348501 | − | 1.07258i | ||||
\(17\) | −1.82552 | + | 5.61838i | −0.442754 | + | 1.36266i | 0.442174 | + | 0.896930i | \(0.354208\pi\) |
−0.884928 | + | 0.465728i | \(0.845792\pi\) | |||||||
\(18\) | −7.12141 | + | 5.17401i | −1.67853 | + | 1.21952i | ||||
\(19\) | 4.86716 | + | 3.53620i | 1.11660 | + | 0.811260i | 0.983691 | − | 0.179867i | \(-0.0575668\pi\) |
0.132913 | + | 0.991128i | \(0.457567\pi\) | |||||||
\(20\) | −2.44512 | − | 7.52532i | −0.546746 | − | 1.68271i | ||||
\(21\) | 9.01468 | 1.96716 | ||||||||
\(22\) | 8.14875 | + | 0.722457i | 1.73732 | + | 0.154028i | ||||
\(23\) | 1.92952 | 0.402333 | 0.201166 | − | 0.979557i | \(-0.435527\pi\) | ||||
0.201166 | + | 0.979557i | \(0.435527\pi\) | |||||||
\(24\) | 4.07115 | + | 12.5297i | 0.831019 | + | 2.55761i | ||||
\(25\) | 1.00824 | + | 0.732532i | 0.201649 | + | 0.146506i | ||||
\(26\) | −1.99550 | + | 1.44982i | −0.391350 | + | 0.284333i | ||||
\(27\) | 0.450430 | − | 1.38628i | 0.0866852 | − | 0.266790i | ||||
\(28\) | 4.43893 | − | 13.6616i | 0.838879 | − | 2.58180i | ||||
\(29\) | 0.398361 | − | 0.289426i | 0.0739738 | − | 0.0537451i | −0.550184 | − | 0.835044i | \(-0.685442\pi\) |
0.624158 | + | 0.781299i | \(0.285442\pi\) | |||||||
\(30\) | 9.90890 | + | 7.19924i | 1.80911 | + | 1.31439i | ||||
\(31\) | −2.16776 | − | 6.67168i | −0.389341 | − | 1.19827i | −0.933282 | − | 0.359145i | \(-0.883068\pi\) |
0.543940 | − | 0.839124i | \(-0.316932\pi\) | |||||||
\(32\) | 0.846233 | 0.149594 | ||||||||
\(33\) | −7.29130 | + | 4.36954i | −1.26925 | + | 0.760640i | ||||
\(34\) | −14.5713 | −2.49897 | ||||||||
\(35\) | −2.10583 | − | 6.48109i | −0.355951 | − | 1.09550i | ||||
\(36\) | −11.7912 | − | 8.56680i | −1.96520 | − | 1.42780i | ||||
\(37\) | 0.182935 | − | 0.132910i | 0.0300743 | − | 0.0218503i | −0.572647 | − | 0.819802i | \(-0.694083\pi\) |
0.602721 | + | 0.797952i | \(0.294083\pi\) | |||||||
\(38\) | −4.58559 | + | 14.1130i | −0.743881 | + | 2.28943i | ||||
\(39\) | 0.791996 | − | 2.43751i | 0.126821 | − | 0.390314i | ||||
\(40\) | 8.05719 | − | 5.85389i | 1.27395 | − | 0.925581i | ||||
\(41\) | −1.73413 | − | 1.25992i | −0.270826 | − | 0.196767i | 0.444080 | − | 0.895987i | \(-0.353531\pi\) |
−0.714906 | + | 0.699220i | \(0.753531\pi\) | |||||||
\(42\) | 6.87112 | + | 21.1471i | 1.06024 | + | 3.26307i | ||||
\(43\) | 6.19789 | 0.945170 | 0.472585 | − | 0.881285i | \(-0.343321\pi\) | ||||
0.472585 | + | 0.881285i | \(0.343321\pi\) | |||||||
\(44\) | 3.03166 | + | 13.2015i | 0.457040 | + | 1.99020i | ||||
\(45\) | −6.91426 | −1.03072 | ||||||||
\(46\) | 1.47071 | + | 4.52637i | 0.216844 | + | 0.667377i | ||||
\(47\) | −8.84554 | − | 6.42666i | −1.29025 | − | 0.937425i | −0.290444 | − | 0.956892i | \(-0.593803\pi\) |
−0.999810 | + | 0.0194672i | \(0.993803\pi\) | |||||||
\(48\) | −9.35362 | + | 6.79580i | −1.35008 | + | 0.980890i | ||||
\(49\) | 1.65986 | − | 5.10852i | 0.237123 | − | 0.729788i | ||||
\(50\) | −0.949915 | + | 2.92354i | −0.134338 | + | 0.413451i | ||||
\(51\) | 12.2491 | − | 8.89947i | 1.71521 | − | 1.24618i | ||||
\(52\) | −3.30403 | − | 2.40052i | −0.458187 | − | 0.332892i | ||||
\(53\) | 2.22144 | + | 6.83688i | 0.305138 | + | 0.939118i | 0.979626 | + | 0.200832i | \(0.0643646\pi\) |
−0.674488 | + | 0.738286i | \(0.735635\pi\) | |||||||
\(54\) | 3.59534 | 0.489263 | ||||||||
\(55\) | 4.84473 | + | 4.22135i | 0.653263 | + | 0.569206i | ||||
\(56\) | 18.0802 | 2.41607 | ||||||||
\(57\) | −4.76476 | − | 14.6644i | −0.631108 | − | 1.94235i | ||||
\(58\) | 0.982589 | + | 0.713893i | 0.129020 | + | 0.0937387i | ||||
\(59\) | −6.81817 | + | 4.95369i | −0.887651 | + | 0.644916i | −0.935264 | − | 0.353950i | \(-0.884838\pi\) |
0.0476138 | + | 0.998866i | \(0.484838\pi\) | |||||||
\(60\) | −6.26674 | + | 19.2870i | −0.809032 | + | 2.48995i | ||||
\(61\) | −2.38315 | + | 7.33458i | −0.305131 | + | 0.939096i | 0.674497 | + | 0.738277i | \(0.264360\pi\) |
−0.979628 | + | 0.200819i | \(0.935640\pi\) | |||||||
\(62\) | 13.9985 | − | 10.1705i | 1.77781 | − | 1.29166i | ||||
\(63\) | −10.1550 | − | 7.37805i | −1.27941 | − | 0.929547i | ||||
\(64\) | −2.14300 | − | 6.59547i | −0.267875 | − | 0.824433i | ||||
\(65\) | −1.93746 | −0.240312 | ||||||||
\(66\) | −15.8078 | − | 13.7738i | −1.94581 | − | 1.69544i | ||||
\(67\) | 7.34591 | 0.897446 | 0.448723 | − | 0.893671i | \(-0.351879\pi\) | ||||
0.448723 | + | 0.893671i | \(0.351879\pi\) | |||||||
\(68\) | −7.45545 | − | 22.9455i | −0.904106 | − | 2.78255i | ||||
\(69\) | −4.00081 | − | 2.90676i | −0.481641 | − | 0.349932i | ||||
\(70\) | 13.5986 | − | 9.87997i | 1.62534 | − | 1.18088i | ||||
\(71\) | 1.11647 | − | 3.43613i | 0.132500 | − | 0.407793i | −0.862693 | − | 0.505728i | \(-0.831224\pi\) |
0.995193 | + | 0.0979351i | \(0.0312238\pi\) | |||||||
\(72\) | 5.66878 | − | 17.4467i | 0.668072 | − | 2.05611i | ||||
\(73\) | 11.5395 | − | 8.38392i | 1.35059 | − | 0.981264i | 0.351612 | − | 0.936146i | \(-0.385634\pi\) |
0.998982 | − | 0.0451176i | \(-0.0143663\pi\) | |||||||
\(74\) | 0.451223 | + | 0.327833i | 0.0524536 | + | 0.0381098i | ||||
\(75\) | −0.987031 | − | 3.03777i | −0.113972 | − | 0.350771i | ||||
\(76\) | −24.5700 | −2.81837 | ||||||||
\(77\) | 2.61098 | + | 11.3696i | 0.297549 | + | 1.29569i | ||||
\(78\) | 6.32172 | 0.715794 | ||||||||
\(79\) | 2.63171 | + | 8.09956i | 0.296090 | + | 0.911272i | 0.982853 | + | 0.184390i | \(0.0590310\pi\) |
−0.686763 | + | 0.726881i | \(0.740969\pi\) | |||||||
\(80\) | 7.07085 | + | 5.13727i | 0.790545 | + | 0.574364i | ||||
\(81\) | 5.63915 | − | 4.09708i | 0.626572 | − | 0.455231i | ||||
\(82\) | 1.63381 | − | 5.02836i | 0.180424 | − | 0.555289i | ||||
\(83\) | −1.93692 | + | 5.96121i | −0.212604 | + | 0.654328i | 0.786711 | + | 0.617322i | \(0.211782\pi\) |
−0.999315 | + | 0.0370065i | \(0.988218\pi\) | |||||||
\(84\) | −29.7848 | + | 21.6399i | −3.24978 | + | 2.36111i | ||||
\(85\) | −9.25966 | − | 6.72753i | −1.00435 | − | 0.729703i | ||||
\(86\) | 4.72412 | + | 14.5394i | 0.509415 | + | 1.56782i | ||||
\(87\) | −1.26200 | −0.135301 | ||||||||
\(88\) | −14.6237 | + | 8.76373i | −1.55890 | + | 0.934217i | ||||
\(89\) | 9.78785 | 1.03751 | 0.518755 | − | 0.854923i | \(-0.326396\pi\) | ||||
0.518755 | + | 0.854923i | \(0.326396\pi\) | |||||||
\(90\) | −5.27015 | − | 16.2198i | −0.555522 | − | 1.70972i | ||||
\(91\) | −2.84556 | − | 2.06742i | −0.298295 | − | 0.216724i | ||||
\(92\) | −6.37519 | + | 4.63185i | −0.664660 | + | 0.482904i | ||||
\(93\) | −5.55587 | + | 17.0992i | −0.576117 | + | 1.77310i | ||||
\(94\) | 8.33382 | − | 25.6488i | 0.859567 | − | 2.64548i | ||||
\(95\) | −9.42993 | + | 6.85124i | −0.967490 | + | 0.702923i | ||||
\(96\) | −1.75464 | − | 1.27482i | −0.179082 | − | 0.130111i | ||||
\(97\) | 1.63493 | + | 5.03180i | 0.166002 | + | 0.510902i | 0.999109 | − | 0.0422105i | \(-0.0134400\pi\) |
−0.833107 | + | 0.553112i | \(0.813440\pi\) | |||||||
\(98\) | 13.2490 | 1.33835 | ||||||||
\(99\) | 11.7899 | + | 1.04528i | 1.18493 | + | 0.105054i | ||||
\(100\) | −5.08972 | −0.508972 | ||||||||
\(101\) | 0.612759 | + | 1.88588i | 0.0609718 | + | 0.187652i | 0.976903 | − | 0.213684i | \(-0.0685462\pi\) |
−0.915931 | + | 0.401335i | \(0.868546\pi\) | |||||||
\(102\) | 30.2133 | + | 21.9512i | 2.99156 | + | 2.17350i | ||||
\(103\) | −7.72597 | + | 5.61325i | −0.761263 | + | 0.553090i | −0.899297 | − | 0.437338i | \(-0.855922\pi\) |
0.138035 | + | 0.990427i | \(0.455922\pi\) | |||||||
\(104\) | 1.58846 | − | 4.88877i | 0.155761 | − | 0.479384i | ||||
\(105\) | −5.39716 | + | 16.6107i | −0.526708 | + | 1.62104i | ||||
\(106\) | −14.3451 | + | 10.4223i | −1.39332 | + | 1.01231i | ||||
\(107\) | 0.641334 | + | 0.465957i | 0.0620001 | + | 0.0450457i | 0.618354 | − | 0.785900i | \(-0.287800\pi\) |
−0.556354 | + | 0.830946i | \(0.687800\pi\) | |||||||
\(108\) | 1.83956 | + | 5.66158i | 0.177011 | + | 0.544785i | ||||
\(109\) | 7.84859 | 0.751758 | 0.375879 | − | 0.926669i | \(-0.377341\pi\) | ||||
0.375879 | + | 0.926669i | \(0.377341\pi\) | |||||||
\(110\) | −6.20994 | + | 14.5826i | −0.592095 | + | 1.39040i | ||||
\(111\) | −0.579534 | −0.0550070 | ||||||||
\(112\) | 4.90313 | + | 15.0903i | 0.463302 | + | 1.42590i | ||||
\(113\) | 0.652862 | + | 0.474332i | 0.0614161 | + | 0.0446214i | 0.618070 | − | 0.786123i | \(-0.287915\pi\) |
−0.556654 | + | 0.830745i | \(0.687915\pi\) | |||||||
\(114\) | 30.7689 | − | 22.3549i | 2.88177 | − | 2.09373i | ||||
\(115\) | −1.15522 | + | 3.55540i | −0.107725 | + | 0.331542i | ||||
\(116\) | −0.621424 | + | 1.91255i | −0.0576978 | + | 0.177575i | ||||
\(117\) | −2.88716 | + | 2.09765i | −0.266918 | + | 0.193927i | ||||
\(118\) | −16.8176 | − | 12.2187i | −1.54818 | − | 1.12482i | ||||
\(119\) | −6.42092 | − | 19.7615i | −0.588604 | − | 1.81154i | ||||
\(120\) | −25.5250 | −2.33011 | ||||||||
\(121\) | −7.62285 | − | 7.93046i | −0.692986 | − | 0.720951i | ||||
\(122\) | −19.0223 | −1.72220 | ||||||||
\(123\) | 1.69765 | + | 5.22483i | 0.153072 | + | 0.471107i | ||||
\(124\) | 23.1778 | + | 16.8397i | 2.08143 | + | 1.51225i | ||||
\(125\) | −9.79061 | + | 7.11329i | −0.875699 | + | 0.636232i | ||||
\(126\) | 9.56754 | − | 29.4459i | 0.852344 | − | 2.62325i | ||||
\(127\) | −3.45507 | + | 10.6336i | −0.306588 | + | 0.943581i | 0.672492 | + | 0.740104i | \(0.265224\pi\) |
−0.979080 | + | 0.203476i | \(0.934776\pi\) | |||||||
\(128\) | 15.2078 | − | 11.0491i | 1.34419 | − | 0.976614i | ||||
\(129\) | −12.8512 | − | 9.33691i | −1.13148 | − | 0.822069i | ||||
\(130\) | −1.47676 | − | 4.54499i | −0.129520 | − | 0.398622i | ||||
\(131\) | −3.74429 | −0.327140 | −0.163570 | − | 0.986532i | \(-0.552301\pi\) | ||||
−0.163570 | + | 0.986532i | \(0.552301\pi\) | |||||||
\(132\) | 13.6015 | − | 31.9400i | 1.18386 | − | 2.78002i | ||||
\(133\) | −21.1606 | −1.83486 | ||||||||
\(134\) | 5.59916 | + | 17.2324i | 0.483694 | + | 1.48866i | ||||
\(135\) | 2.28473 | + | 1.65995i | 0.196638 | + | 0.142866i | ||||
\(136\) | 24.5672 | − | 17.8491i | 2.10662 | − | 1.53055i | ||||
\(137\) | 1.12965 | − | 3.47671i | 0.0965127 | − | 0.297035i | −0.891132 | − | 0.453744i | \(-0.850088\pi\) |
0.987645 | + | 0.156708i | \(0.0500882\pi\) | |||||||
\(138\) | 3.76936 | − | 11.6009i | 0.320869 | − | 0.987533i | ||||
\(139\) | 17.9224 | − | 13.0214i | 1.52015 | − | 1.10446i | 0.558743 | − | 0.829341i | \(-0.311284\pi\) |
0.961411 | − | 0.275116i | \(-0.0887161\pi\) | |||||||
\(140\) | 22.5157 | + | 16.3586i | 1.90293 | + | 1.38256i | ||||
\(141\) | 8.65944 | + | 26.6510i | 0.729256 | + | 2.24442i | ||||
\(142\) | 8.91164 | 0.747849 | ||||||||
\(143\) | 3.30367 | + | 0.292899i | 0.276266 | + | 0.0244934i | ||||
\(144\) | 16.0989 | 1.34157 | ||||||||
\(145\) | 0.294804 | + | 0.907315i | 0.0244822 | + | 0.0753484i | ||||
\(146\) | 28.4630 | + | 20.6796i | 2.35562 | + | 1.71145i | ||||
\(147\) | −11.1375 | + | 8.09185i | −0.918604 | + | 0.667405i | ||||
\(148\) | −0.285369 | + | 0.878277i | −0.0234572 | + | 0.0721939i | ||||
\(149\) | 4.49249 | − | 13.8264i | 0.368039 | − | 1.13271i | −0.580017 | − | 0.814604i | \(-0.696954\pi\) |
0.948056 | − | 0.318103i | \(-0.103046\pi\) | |||||||
\(150\) | 6.37383 | − | 4.63086i | 0.520421 | − | 0.378108i | ||||
\(151\) | 13.2214 | + | 9.60592i | 1.07594 | + | 0.781719i | 0.976971 | − | 0.213372i | \(-0.0684445\pi\) |
0.0989722 | + | 0.995090i | \(0.468445\pi\) | |||||||
\(152\) | −9.55640 | − | 29.4116i | −0.775127 | − | 2.38559i | ||||
\(153\) | −21.0823 | −1.70440 | ||||||||
\(154\) | −24.6814 | + | 14.7911i | −1.98888 | + | 1.19190i | ||||
\(155\) | 13.5913 | 1.09168 | ||||||||
\(156\) | 3.23452 | + | 9.95482i | 0.258969 | + | 0.797023i | ||||
\(157\) | 3.44483 | + | 2.50281i | 0.274927 | + | 0.199746i | 0.716702 | − | 0.697380i | \(-0.245651\pi\) |
−0.441775 | + | 0.897126i | \(0.645651\pi\) | |||||||
\(158\) | −16.9945 | + | 12.3472i | −1.35201 | + | 0.982291i | ||||
\(159\) | 5.69344 | − | 17.5226i | 0.451519 | − | 1.38963i | ||||
\(160\) | −0.506646 | + | 1.55930i | −0.0400539 | + | 0.123273i | ||||
\(161\) | −5.49056 | + | 3.98913i | −0.432717 | + | 0.314387i | ||||
\(162\) | 13.9094 | + | 10.1058i | 1.09283 | + | 0.793984i | ||||
\(163\) | 0.784470 | + | 2.41435i | 0.0614445 | + | 0.189107i | 0.977067 | − | 0.212933i | \(-0.0683015\pi\) |
−0.915622 | + | 0.402039i | \(0.868302\pi\) | |||||||
\(164\) | 8.75410 | 0.683580 | ||||||||
\(165\) | −3.68610 | − | 16.0513i | −0.286963 | − | 1.24959i | ||||
\(166\) | −15.4605 | −1.19997 | ||||||||
\(167\) | −5.01302 | − | 15.4285i | −0.387919 | − | 1.19389i | −0.934341 | − | 0.356382i | \(-0.884010\pi\) |
0.546422 | − | 0.837510i | \(-0.315990\pi\) | |||||||
\(168\) | −37.4888 | − | 27.2372i | −2.89232 | − | 2.10140i | ||||
\(169\) | −0.809017 | + | 0.587785i | −0.0622321 | + | 0.0452143i | ||||
\(170\) | 8.72397 | − | 26.8496i | 0.669098 | − | 2.05927i | ||||
\(171\) | −6.63459 | + | 20.4192i | −0.507360 | + | 1.56149i | ||||
\(172\) | −20.4780 | + | 14.8782i | −1.56143 | + | 1.13445i | ||||
\(173\) | 1.32237 | + | 0.960756i | 0.100538 | + | 0.0730449i | 0.636918 | − | 0.770931i | \(-0.280209\pi\) |
−0.536381 | + | 0.843976i | \(0.680209\pi\) | |||||||
\(174\) | −0.961916 | − | 2.96047i | −0.0729227 | − | 0.224433i | ||||
\(175\) | −4.38346 | −0.331359 | ||||||||
\(176\) | −11.2803 | − | 9.82879i | −0.850281 | − | 0.740873i | ||||
\(177\) | 21.5999 | 1.62355 | ||||||||
\(178\) | 7.46044 | + | 22.9609i | 0.559184 | + | 1.72099i | ||||
\(179\) | 4.56832 | + | 3.31908i | 0.341452 | + | 0.248080i | 0.745274 | − | 0.666758i | \(-0.232319\pi\) |
−0.403822 | + | 0.914838i | \(0.632319\pi\) | |||||||
\(180\) | 22.8449 | − | 16.5978i | 1.70276 | − | 1.23713i | ||||
\(181\) | −0.142085 | + | 0.437292i | −0.0105611 | + | 0.0325036i | −0.956198 | − | 0.292720i | \(-0.905440\pi\) |
0.945637 | + | 0.325224i | \(0.105440\pi\) | |||||||
\(182\) | 2.68094 | − | 8.25108i | 0.198724 | − | 0.611611i | ||||
\(183\) | 15.9907 | − | 11.6179i | 1.18207 | − | 0.858821i | ||||
\(184\) | −8.02418 | − | 5.82991i | −0.591550 | − | 0.429787i | ||||
\(185\) | 0.135380 | + | 0.416656i | 0.00995331 | + | 0.0306331i | ||||
\(186\) | −44.3470 | −3.25168 | ||||||||
\(187\) | 14.7721 | + | 12.8713i | 1.08024 | + | 0.941245i | ||||
\(188\) | 44.6532 | 3.25667 | ||||||||
\(189\) | 1.58430 | + | 4.87597i | 0.115241 | + | 0.354674i | ||||
\(190\) | −23.2596 | − | 16.8991i | −1.68743 | − | 1.22599i | ||||
\(191\) | 6.17030 | − | 4.48298i | 0.446467 | − | 0.324377i | −0.341732 | − | 0.939797i | \(-0.611014\pi\) |
0.788199 | + | 0.615420i | \(0.211014\pi\) | |||||||
\(192\) | −5.49240 | + | 16.9039i | −0.396380 | + | 1.21993i | ||||
\(193\) | 3.22018 | − | 9.91071i | 0.231794 | − | 0.713389i | −0.765737 | − | 0.643154i | \(-0.777625\pi\) |
0.997531 | − | 0.0702342i | \(-0.0223747\pi\) | |||||||
\(194\) | −10.5577 | + | 7.67062i | −0.757999 | + | 0.550718i | ||||
\(195\) | 4.01727 | + | 2.91871i | 0.287682 | + | 0.209013i | ||||
\(196\) | 6.77887 | + | 20.8632i | 0.484205 | + | 1.49023i | ||||
\(197\) | −5.76023 | −0.410400 | −0.205200 | − | 0.978720i | \(-0.565784\pi\) | ||||
−0.205200 | + | 0.978720i | \(0.565784\pi\) | |||||||
\(198\) | 6.53436 | + | 28.4541i | 0.464376 | + | 2.02214i | ||||
\(199\) | −16.6746 | −1.18203 | −0.591015 | − | 0.806661i | \(-0.701273\pi\) | ||||
−0.591015 | + | 0.806661i | \(0.701273\pi\) | |||||||
\(200\) | −1.97963 | − | 6.09267i | −0.139981 | − | 0.430817i | ||||
\(201\) | −15.2315 | − | 11.0664i | −1.07435 | − | 0.780561i | ||||
\(202\) | −3.95694 | + | 2.87489i | −0.278409 | + | 0.202276i | ||||
\(203\) | −0.535194 | + | 1.64716i | −0.0375633 | + | 0.115608i | ||||
\(204\) | −19.1080 | + | 58.8082i | −1.33782 | + | 4.11740i | ||||
\(205\) | 3.35981 | − | 2.44105i | 0.234660 | − | 0.170490i | ||||
\(206\) | −19.0567 | − | 13.8455i | −1.32774 | − | 0.964663i | ||||
\(207\) | 2.12787 | + | 6.54891i | 0.147897 | + | 0.455181i | ||||
\(208\) | 4.51109 | 0.312788 | ||||||||
\(209\) | 17.1152 | − | 10.2568i | 1.18389 | − | 0.709481i | ||||
\(210\) | −43.0802 | −2.97281 | ||||||||
\(211\) | 0.885970 | + | 2.72674i | 0.0609927 | + | 0.187716i | 0.976910 | − | 0.213650i | \(-0.0685353\pi\) |
−0.915917 | + | 0.401367i | \(0.868535\pi\) | |||||||
\(212\) | −23.7518 | − | 17.2567i | −1.63128 | − | 1.18519i | ||||
\(213\) | −7.49137 | + | 5.44280i | −0.513300 | + | 0.372934i | ||||
\(214\) | −0.604232 | + | 1.85964i | −0.0413045 | + | 0.127122i | ||||
\(215\) | −3.71072 | + | 11.4204i | −0.253069 | + | 0.778867i | ||||
\(216\) | −6.06172 | + | 4.40410i | −0.412448 | + | 0.299661i | ||||
\(217\) | 19.9616 | + | 14.5030i | 1.35508 | + | 0.984526i | ||||
\(218\) | 5.98231 | + | 18.4116i | 0.405173 | + | 1.24699i | ||||
\(219\) | −36.5569 | −2.47028 | ||||||||
\(220\) | −26.1406 | − | 2.31759i | −1.76240 | − | 0.156252i | ||||
\(221\) | −5.90752 | −0.397383 | ||||||||
\(222\) | −0.441729 | − | 1.35950i | −0.0296469 | − | 0.0912439i | ||||
\(223\) | 10.5485 | + | 7.66391i | 0.706377 | + | 0.513213i | 0.882003 | − | 0.471244i | \(-0.156195\pi\) |
−0.175626 | + | 0.984457i | \(0.556195\pi\) | |||||||
\(224\) | −2.40800 | + | 1.74952i | −0.160892 | + | 0.116895i | ||||
\(225\) | −1.37437 | + | 4.22987i | −0.0916246 | + | 0.281992i | ||||
\(226\) | −0.615093 | + | 1.89306i | −0.0409154 | + | 0.125925i | ||||
\(227\) | −9.80337 | + | 7.12256i | −0.650672 | + | 0.472741i | −0.863500 | − | 0.504349i | \(-0.831733\pi\) |
0.212828 | + | 0.977090i | \(0.431733\pi\) | |||||||
\(228\) | 50.9452 | + | 37.0138i | 3.37393 | + | 2.45130i | ||||
\(229\) | −2.47017 | − | 7.60241i | −0.163234 | − | 0.502382i | 0.835668 | − | 0.549235i | \(-0.185081\pi\) |
−0.998902 | + | 0.0468532i | \(0.985081\pi\) | |||||||
\(230\) | −9.22096 | −0.608012 | ||||||||
\(231\) | 11.7141 | − | 27.5080i | 0.770734 | − | 1.80989i | ||||
\(232\) | −2.53112 | −0.166176 | ||||||||
\(233\) | −1.52277 | − | 4.68660i | −0.0997599 | − | 0.307029i | 0.888705 | − | 0.458479i | \(-0.151606\pi\) |
−0.988465 | + | 0.151450i | \(0.951606\pi\) | |||||||
\(234\) | −7.12141 | − | 5.17401i | −0.465541 | − | 0.338235i | ||||
\(235\) | 17.1379 | − | 12.4514i | 1.11795 | − | 0.812239i | ||||
\(236\) | 10.6360 | − | 32.7343i | 0.692346 | − | 2.13082i | ||||
\(237\) | 6.74494 | − | 20.7588i | 0.438131 | − | 1.34843i | ||||
\(238\) | 41.4636 | − | 30.1251i | 2.68769 | − | 1.95272i | ||||
\(239\) | −15.2172 | − | 11.0559i | −0.984317 | − | 0.715148i | −0.0256481 | − | 0.999671i | \(-0.508165\pi\) |
−0.958669 | + | 0.284523i | \(0.908165\pi\) | |||||||
\(240\) | −6.92208 | − | 21.3040i | −0.446819 | − | 1.37517i | ||||
\(241\) | 14.7032 | 0.947118 | 0.473559 | − | 0.880762i | \(-0.342969\pi\) | ||||
0.473559 | + | 0.880762i | \(0.342969\pi\) | |||||||
\(242\) | 12.7935 | − | 23.9268i | 0.822395 | − | 1.53807i | ||||
\(243\) | −22.2376 | −1.42654 | ||||||||
\(244\) | −9.73279 | − | 29.9545i | −0.623078 | − | 1.91764i | ||||
\(245\) | 8.41935 | + | 6.11701i | 0.537892 | + | 0.390802i | ||||
\(246\) | −10.9627 | + | 7.96488i | −0.698957 | + | 0.507822i | ||||
\(247\) | −1.85909 | + | 5.72169i | −0.118291 | + | 0.364063i | ||||
\(248\) | −11.1431 | + | 34.2949i | −0.707586 | + | 2.17773i | ||||
\(249\) | 12.9965 | − | 9.44251i | 0.823620 | − | 0.598395i | ||||
\(250\) | −24.1493 | − | 17.5455i | −1.52734 | − | 1.10967i | ||||
\(251\) | 6.96454 | + | 21.4346i | 0.439598 | + | 1.35294i | 0.888301 | + | 0.459262i | \(0.151886\pi\) |
−0.448703 | + | 0.893681i | \(0.648114\pi\) | |||||||
\(252\) | 51.2636 | 3.22931 | ||||||||
\(253\) | 2.50732 | − | 5.88786i | 0.157634 | − | 0.370166i | ||||
\(254\) | −27.5784 | −1.73042 | ||||||||
\(255\) | 9.06484 | + | 27.8987i | 0.567662 | + | 1.74708i | ||||
\(256\) | 26.2904 | + | 19.1011i | 1.64315 | + | 1.19382i | ||||
\(257\) | −19.6569 | + | 14.2816i | −1.22616 | + | 0.890860i | −0.996597 | − | 0.0824327i | \(-0.973731\pi\) |
−0.229567 | + | 0.973293i | \(0.573731\pi\) | |||||||
\(258\) | 12.1077 | − | 37.2637i | 0.753793 | − | 2.31994i | ||||
\(259\) | −0.245771 | + | 0.756405i | −0.0152715 | + | 0.0470007i | ||||
\(260\) | 6.40142 | − | 4.65090i | 0.396999 | − | 0.288437i | ||||
\(261\) | 1.42164 | + | 1.03288i | 0.0879974 | + | 0.0639339i | ||||
\(262\) | −2.85395 | − | 8.78356i | −0.176318 | − | 0.542650i | ||||
\(263\) | −5.32245 | −0.328197 | −0.164098 | − | 0.986444i | \(-0.552471\pi\) | ||||
−0.164098 | + | 0.986444i | \(0.552471\pi\) | |||||||
\(264\) | 43.5242 | + | 3.85880i | 2.67873 | + | 0.237492i | ||||
\(265\) | −13.9279 | −0.855581 | ||||||||
\(266\) | −16.1289 | − | 49.6397i | −0.988927 | − | 3.04361i | ||||
\(267\) | −20.2948 | − | 14.7451i | −1.24202 | − | 0.902383i | ||||
\(268\) | −24.2711 | + | 17.6340i | −1.48259 | + | 1.07717i | ||||
\(269\) | −2.36933 | + | 7.29206i | −0.144461 | + | 0.444605i | −0.996941 | − | 0.0781544i | \(-0.975097\pi\) |
0.852480 | + | 0.522759i | \(0.175097\pi\) | |||||||
\(270\) | −2.15255 | + | 6.62488i | −0.131000 | + | 0.403177i | ||||
\(271\) | −0.761939 | + | 0.553581i | −0.0462845 | + | 0.0336277i | −0.610687 | − | 0.791872i | \(-0.709107\pi\) |
0.564402 | + | 0.825500i | \(0.309107\pi\) | |||||||
\(272\) | 21.5598 | + | 15.6641i | 1.30725 | + | 0.949775i | ||||
\(273\) | 2.78569 | + | 8.57347i | 0.168598 | + | 0.518890i | ||||
\(274\) | 9.01689 | 0.544731 | ||||||||
\(275\) | 3.54546 | − | 2.12473i | 0.213799 | − | 0.128126i | ||||
\(276\) | 20.1965 | 1.21569 | ||||||||
\(277\) | −2.38624 | − | 7.34409i | −0.143375 | − | 0.441264i | 0.853423 | − | 0.521219i | \(-0.174522\pi\) |
−0.996798 | + | 0.0799549i | \(0.974522\pi\) | |||||||
\(278\) | 44.2069 | + | 32.1182i | 2.65135 | + | 1.92632i | ||||
\(279\) | 20.2535 | − | 14.7150i | 1.21254 | − | 0.880965i | ||||
\(280\) | −10.8248 | + | 33.3152i | −0.646903 | + | 1.99096i | ||||
\(281\) | 7.28468 | − | 22.4199i | 0.434567 | − | 1.33746i | −0.458962 | − | 0.888456i | \(-0.651779\pi\) |
0.893529 | − | 0.449005i | \(-0.148221\pi\) | |||||||
\(282\) | −55.9190 | + | 40.6276i | −3.32993 | + | 2.41934i | ||||
\(283\) | −1.83874 | − | 1.33592i | −0.109302 | − | 0.0794124i | 0.531792 | − | 0.846875i | \(-0.321519\pi\) |
−0.641094 | + | 0.767463i | \(0.721519\pi\) | |||||||
\(284\) | 4.55965 | + | 14.0332i | 0.270566 | + | 0.832715i | ||||
\(285\) | 29.8739 | 1.76957 | ||||||||
\(286\) | 1.83100 | + | 7.97317i | 0.108270 | + | 0.471464i | ||||
\(287\) | 7.53937 | 0.445035 | ||||||||
\(288\) | 0.933223 | + | 2.87217i | 0.0549907 | + | 0.169244i | ||||
\(289\) | −14.4804 | − | 10.5206i | −0.851788 | − | 0.618860i | ||||
\(290\) | −1.90372 | + | 1.38314i | −0.111791 | + | 0.0812206i | ||||
\(291\) | 4.19025 | − | 12.8963i | 0.245637 | − | 0.755992i | ||||
\(292\) | −18.0010 | + | 55.4014i | −1.05343 | + | 3.24212i | ||||
\(293\) | 3.19555 | − | 2.32170i | 0.186686 | − | 0.135635i | −0.490517 | − | 0.871432i | \(-0.663192\pi\) |
0.677203 | + | 0.735797i | \(0.263192\pi\) | |||||||
\(294\) | −27.4715 | − | 19.9592i | −1.60217 | − | 1.16404i | ||||
\(295\) | −5.04574 | − | 15.5292i | −0.293774 | − | 0.904145i | ||||
\(296\) | −1.16234 | −0.0675595 | ||||||||
\(297\) | −3.64487 | − | 3.17587i | −0.211497 | − | 0.184283i | ||||
\(298\) | 35.8591 | 2.07726 | ||||||||
\(299\) | 0.596254 | + | 1.83508i | 0.0344823 | + | 0.106126i | ||||
\(300\) | 10.5534 | + | 7.66749i | 0.609301 | + | 0.442683i | ||||
\(301\) | −17.6365 | + | 12.8136i | −1.01655 | + | 0.738566i | ||||
\(302\) | −12.4565 | + | 38.3373i | −0.716793 | + | 2.20606i | ||||
\(303\) | 1.57047 | − | 4.83341i | 0.0902212 | − | 0.277672i | ||||
\(304\) | 21.9562 | − | 15.9521i | 1.25928 | − | 0.914917i | ||||
\(305\) | −12.0881 | − | 8.78253i | −0.692164 | − | 0.502886i | ||||
\(306\) | −16.0692 | − | 49.4560i | −0.918618 | − | 2.82721i | ||||
\(307\) | 32.9418 | 1.88009 | 0.940044 | − | 0.341054i | \(-0.110784\pi\) | ||||
0.940044 | + | 0.341054i | \(0.110784\pi\) | |||||||
\(308\) | −35.9198 | − | 31.2979i | −2.04672 | − | 1.78336i | ||||
\(309\) | 24.4758 | 1.39238 | ||||||||
\(310\) | 10.3595 | + | 31.8832i | 0.588379 | + | 1.81085i | ||||
\(311\) | −17.9252 | − | 13.0234i | −1.01645 | − | 0.738492i | −0.0508951 | − | 0.998704i | \(-0.516207\pi\) |
−0.965551 | + | 0.260212i | \(0.916207\pi\) | |||||||
\(312\) | −10.6584 | + | 7.74378i | −0.603413 | + | 0.438405i | ||||
\(313\) | 6.79495 | − | 20.9127i | 0.384073 | − | 1.18206i | −0.553077 | − | 0.833130i | \(-0.686546\pi\) |
0.937150 | − | 0.348926i | \(-0.113454\pi\) | |||||||
\(314\) | −3.24554 | + | 9.98874i | −0.183156 | + | 0.563697i | ||||
\(315\) | 19.6749 | − | 14.2947i | 1.10856 | − | 0.805413i | ||||
\(316\) | −28.1384 | − | 20.4437i | −1.58291 | − | 1.15005i | ||||
\(317\) | −0.571375 | − | 1.75851i | −0.0320916 | − | 0.0987678i | 0.933728 | − | 0.357984i | \(-0.116536\pi\) |
−0.965819 | + | 0.259216i | \(0.916536\pi\) | |||||||
\(318\) | 45.4451 | 2.54844 | ||||||||
\(319\) | −0.365522 | − | 1.59168i | −0.0204653 | − | 0.0891170i | ||||
\(320\) | 13.4360 | 0.751098 | ||||||||
\(321\) | −0.627841 | − | 1.93230i | −0.0350427 | − | 0.107850i | ||||
\(322\) | −13.5429 | − | 9.83949i | −0.754716 | − | 0.548333i | ||||
\(323\) | −28.7529 | + | 20.8902i | −1.59985 | + | 1.16236i | ||||
\(324\) | −8.79679 | + | 27.0737i | −0.488711 | + | 1.50410i | ||||
\(325\) | −0.385115 | + | 1.18526i | −0.0213623 | + | 0.0657464i | ||||
\(326\) | −5.06578 | + | 3.68051i | −0.280568 | + | 0.203844i | ||||
\(327\) | −16.2738 | − | 11.8236i | −0.899945 | − | 0.653848i | ||||
\(328\) | 3.40488 | + | 10.4791i | 0.188003 | + | 0.578613i | ||||
\(329\) | 38.4571 | 2.12021 | ||||||||
\(330\) | 34.8443 | − | 20.8816i | 1.91812 | − | 1.14949i | ||||
\(331\) | −26.6418 | −1.46437 | −0.732183 | − | 0.681108i | \(-0.761498\pi\) | ||||
−0.732183 | + | 0.681108i | \(0.761498\pi\) | |||||||
\(332\) | −7.91037 | − | 24.3456i | −0.434138 | − | 1.33614i | ||||
\(333\) | 0.652844 | + | 0.474319i | 0.0357756 | + | 0.0259925i | ||||
\(334\) | 32.3720 | − | 23.5196i | 1.77132 | − | 1.28694i | ||||
\(335\) | −4.39805 | + | 13.5358i | −0.240291 | + | 0.739540i | ||||
\(336\) | 12.5665 | − | 38.6757i | 0.685559 | − | 2.10993i | ||||
\(337\) | −12.3999 | + | 9.00906i | −0.675466 | + | 0.490755i | −0.871851 | − | 0.489772i | \(-0.837080\pi\) |
0.196384 | + | 0.980527i | \(0.437080\pi\) | |||||||
\(338\) | −1.99550 | − | 1.44982i | −0.108541 | − | 0.0788597i | ||||
\(339\) | −0.639126 | − | 1.96703i | −0.0347126 | − | 0.106834i | ||||
\(340\) | 46.7437 | 2.53504 | ||||||||
\(341\) | −23.1753 | − | 2.05469i | −1.25501 | − | 0.111268i | ||||
\(342\) | −52.9574 | −2.86361 | ||||||||
\(343\) | −1.77012 | − | 5.44787i | −0.0955775 | − | 0.294157i | ||||
\(344\) | −25.7748 | − | 18.7265i | −1.38968 | − | 1.00966i | ||||
\(345\) | 7.75139 | − | 5.63172i | 0.417321 | − | 0.303201i | ||||
\(346\) | −1.24587 | + | 3.83438i | −0.0669782 | + | 0.206138i | ||||
\(347\) | 4.09539 | − | 12.6043i | 0.219852 | − | 0.676635i | −0.778921 | − | 0.627122i | \(-0.784233\pi\) |
0.998773 | − | 0.0495135i | \(-0.0157671\pi\) | |||||||
\(348\) | 4.16969 | − | 3.02946i | 0.223519 | − | 0.162396i | ||||
\(349\) | 28.0038 | + | 20.3459i | 1.49901 | + | 1.08909i | 0.970775 | + | 0.239992i | \(0.0771449\pi\) |
0.528232 | + | 0.849100i | \(0.322855\pi\) | |||||||
\(350\) | −3.34114 | − | 10.2830i | −0.178591 | − | 0.549648i | ||||
\(351\) | 1.45762 | 0.0778021 | ||||||||
\(352\) | 1.09964 | − | 2.58225i | 0.0586110 | − | 0.137634i | ||||
\(353\) | −14.9660 | −0.796559 | −0.398279 | − | 0.917264i | \(-0.630393\pi\) | ||||
−0.398279 | + | 0.917264i | \(0.630393\pi\) | |||||||
\(354\) | 16.4637 | + | 50.6701i | 0.875037 | + | 2.69309i | ||||
\(355\) | 5.66308 | + | 4.11447i | 0.300565 | + | 0.218373i | ||||
\(356\) | −32.3394 | + | 23.4959i | −1.71398 | + | 1.24528i | ||||
\(357\) | −16.4565 | + | 50.6479i | −0.870970 | + | 2.68057i | ||||
\(358\) | −4.30404 | + | 13.2465i | −0.227475 | + | 0.700097i | ||||
\(359\) | −22.2062 | + | 16.1337i | −1.17200 | + | 0.851505i | −0.991247 | − | 0.132024i | \(-0.957852\pi\) |
−0.180750 | + | 0.983529i | \(0.557852\pi\) | |||||||
\(360\) | 28.7539 | + | 20.8909i | 1.51546 | + | 1.10105i | ||||
\(361\) | 5.31324 | + | 16.3525i | 0.279644 | + | 0.860657i | ||||
\(362\) | −1.13412 | −0.0596081 | ||||||||
\(363\) | 3.85880 | + | 27.9271i | 0.202534 | + | 1.46580i | ||||
\(364\) | 14.3647 | 0.752914 | ||||||||
\(365\) | 8.53971 | + | 26.2825i | 0.446989 | + | 1.37569i | ||||
\(366\) | 39.4423 | + | 28.6565i | 2.06168 | + | 1.49790i | ||||
\(367\) | 9.22041 | − | 6.69902i | 0.481302 | − | 0.349686i | −0.320528 | − | 0.947239i | \(-0.603860\pi\) |
0.801829 | + | 0.597553i | \(0.203860\pi\) | |||||||
\(368\) | 2.68976 | − | 8.27823i | 0.140213 | − | 0.431532i | ||||
\(369\) | 2.36386 | − | 7.27520i | 0.123057 | − | 0.378732i | ||||
\(370\) | −0.874225 | + | 0.635162i | −0.0454488 | + | 0.0330205i | ||||
\(371\) | −20.4559 | − | 14.8621i | −1.06202 | − | 0.771602i | ||||
\(372\) | −22.6902 | − | 69.8332i | −1.17643 | − | 3.62068i | ||||
\(373\) | 13.8159 | 0.715361 | 0.357681 | − | 0.933844i | \(-0.383568\pi\) | ||||
0.357681 | + | 0.933844i | \(0.383568\pi\) | |||||||
\(374\) | −18.9348 | + | 44.4639i | −0.979094 | + | 2.29917i | ||||
\(375\) | 31.0165 | 1.60168 | ||||||||
\(376\) | 17.3677 | + | 53.4523i | 0.895672 | + | 2.75659i | ||||
\(377\) | 0.398361 | + | 0.289426i | 0.0205166 | + | 0.0149062i | ||||
\(378\) | −10.2307 | + | 7.43306i | −0.526212 | + | 0.382315i | ||||
\(379\) | −4.42005 | + | 13.6035i | −0.227043 | + | 0.698766i | 0.771035 | + | 0.636793i | \(0.219739\pi\) |
−0.998078 | + | 0.0619734i | \(0.980261\pi\) | |||||||
\(380\) | 14.7102 | − | 45.2734i | 0.754619 | − | 2.32248i | ||||
\(381\) | 23.1832 | − | 16.8436i | 1.18771 | − | 0.862922i | ||||
\(382\) | 15.2195 | + | 11.0576i | 0.778698 | + | 0.565758i | ||||
\(383\) | −4.76327 | − | 14.6598i | −0.243392 | − | 0.749083i | −0.995897 | − | 0.0904965i | \(-0.971155\pi\) |
0.752505 | − | 0.658587i | \(-0.228845\pi\) | |||||||
\(384\) | −48.1781 | −2.45858 | ||||||||
\(385\) | −22.5132 | − | 1.99599i | −1.14738 | − | 0.101725i | ||||
\(386\) | 25.7036 | 1.30828 | ||||||||
\(387\) | 6.83502 | + | 21.0360i | 0.347444 | + | 1.06932i | ||||
\(388\) | −17.4808 | − | 12.7005i | −0.887452 | − | 0.644772i | ||||
\(389\) | 15.0230 | − | 10.9149i | 0.761697 | − | 0.553405i | −0.137733 | − | 0.990469i | \(-0.543982\pi\) |
0.899430 | + | 0.437064i | \(0.143982\pi\) | |||||||
\(390\) | −3.78486 | + | 11.6486i | −0.191654 | + | 0.589850i | ||||
\(391\) | −3.52238 | + | 10.8408i | −0.178135 | + | 0.548242i | ||||
\(392\) | −22.3378 | + | 16.2293i | −1.12823 | + | 0.819706i | ||||
\(393\) | 7.76368 | + | 5.64064i | 0.391626 | + | 0.284533i | ||||
\(394\) | −4.39053 | − | 13.5127i | −0.221192 | − | 0.680758i | ||||
\(395\) | −16.5001 | −0.830212 | ||||||||
\(396\) | −41.4633 | + | 24.8482i | −2.08361 | + | 1.24867i | ||||
\(397\) | 16.7962 | 0.842978 | 0.421489 | − | 0.906834i | \(-0.361508\pi\) | ||||
0.421489 | + | 0.906834i | \(0.361508\pi\) | |||||||
\(398\) | −12.7096 | − | 39.1161i | −0.637075 | − | 1.96072i | ||||
\(399\) | 43.8759 | + | 31.8777i | 2.19654 | + | 1.59588i | ||||
\(400\) | 4.54828 | − | 3.30452i | 0.227414 | − | 0.165226i | ||||
\(401\) | 6.90539 | − | 21.2526i | 0.344839 | − | 1.06130i | −0.616832 | − | 0.787095i | \(-0.711584\pi\) |
0.961670 | − | 0.274209i | \(-0.0884160\pi\) | |||||||
\(402\) | 14.3504 | − | 44.1659i | 0.715732 | − | 2.20280i | ||||
\(403\) | 5.67527 | − | 4.12333i | 0.282705 | − | 0.205397i | ||||
\(404\) | −6.55165 | − | 4.76006i | −0.325957 | − | 0.236822i | ||||
\(405\) | 4.17321 | + | 12.8438i | 0.207369 | + | 0.638215i | ||||
\(406\) | −4.27193 | −0.212012 | ||||||||
\(407\) | −0.167855 | − | 0.730929i | −0.00832024 | − | 0.0362308i | ||||
\(408\) | −77.8286 | −3.85309 | ||||||||
\(409\) | 2.38794 | + | 7.34932i | 0.118076 | + | 0.363400i | 0.992576 | − | 0.121625i | \(-0.0388104\pi\) |
−0.874500 | + | 0.485025i | \(0.838810\pi\) | |||||||
\(410\) | 8.28724 | + | 6.02103i | 0.409278 | + | 0.297358i | ||||
\(411\) | −7.57985 | + | 5.50708i | −0.373886 | + | 0.271644i | ||||
\(412\) | 12.0521 | − | 37.0927i | 0.593767 | − | 1.82743i | ||||
\(413\) | 9.16015 | − | 28.1920i | 0.450741 | − | 1.38724i | ||||
\(414\) | −13.7409 | + | 9.98335i | −0.675328 | + | 0.490655i | ||||
\(415\) | −9.82467 | − | 7.13804i | −0.482274 | − | 0.350393i | ||||
\(416\) | 0.261500 | + | 0.804815i | 0.0128211 | + | 0.0394593i | ||||
\(417\) | −56.7777 | −2.78042 | ||||||||
\(418\) | 37.1065 | + | 32.3319i | 1.81494 | + | 1.58141i | ||||
\(419\) | 30.0056 | 1.46587 | 0.732934 | − | 0.680300i | \(-0.238150\pi\) | ||||
0.732934 | + | 0.680300i | \(0.238150\pi\) | |||||||
\(420\) | −22.0420 | − | 67.8383i | −1.07554 | − | 3.31017i | ||||
\(421\) | −7.85903 | − | 5.70992i | −0.383026 | − | 0.278284i | 0.379566 | − | 0.925165i | \(-0.376073\pi\) |
−0.762592 | + | 0.646880i | \(0.776073\pi\) | |||||||
\(422\) | −5.72123 | + | 4.15672i | −0.278505 | + | 0.202346i | ||||
\(423\) | 12.0576 | − | 37.1096i | 0.586263 | − | 1.80433i | ||||
\(424\) | 11.4190 | − | 35.1441i | 0.554556 | − | 1.70675i | ||||
\(425\) | −5.95621 | + | 4.32744i | −0.288919 | + | 0.209912i | ||||
\(426\) | −18.4780 | − | 13.4251i | −0.895264 | − | 0.650448i | ||||
\(427\) | −8.38225 | − | 25.7979i | −0.405646 | − | 1.24845i | ||||
\(428\) | −3.23753 | −0.156492 | ||||||||
\(429\) | −6.40882 | − | 5.58418i | −0.309421 | − | 0.269607i | ||||
\(430\) | −29.6190 | −1.42836 | ||||||||
\(431\) | 1.78534 | + | 5.49472i | 0.0859969 | + | 0.264671i | 0.984803 | − | 0.173675i | \(-0.0555643\pi\) |
−0.898806 | + | 0.438347i | \(0.855564\pi\) | |||||||
\(432\) | −5.31966 | − | 3.86496i | −0.255942 | − | 0.185953i | ||||
\(433\) | 9.89470 | − | 7.18892i | 0.475509 | − | 0.345477i | −0.324075 | − | 0.946031i | \(-0.605053\pi\) |
0.799584 | + | 0.600554i | \(0.205053\pi\) | |||||||
\(434\) | −18.8068 | + | 57.8815i | −0.902757 | + | 2.77840i | ||||
\(435\) | 0.755570 | − | 2.32540i | 0.0362268 | − | 0.111495i | ||||
\(436\) | −25.9320 | + | 18.8407i | −1.24192 | + | 0.902305i | ||||
\(437\) | 9.39129 | + | 6.82317i | 0.449246 | + | 0.326397i | ||||
\(438\) | −27.8642 | − | 85.7571i | −1.33140 | − | 4.09763i | ||||
\(439\) | 0.393039 | 0.0187587 | 0.00937937 | − | 0.999956i | \(-0.497014\pi\) | ||||
0.00937937 | + | 0.999956i | \(0.497014\pi\) | |||||||
\(440\) | −7.39300 | − | 32.1931i | −0.352447 | − | 1.53474i | ||||
\(441\) | 19.1691 | 0.912815 | ||||||||
\(442\) | −4.50279 | − | 13.8582i | −0.214176 | − | 0.659166i | ||||
\(443\) | −6.91106 | − | 5.02118i | −0.328354 | − | 0.238563i | 0.411378 | − | 0.911465i | \(-0.365048\pi\) |
−0.739732 | + | 0.672902i | \(0.765048\pi\) | |||||||
\(444\) | 1.91480 | − | 1.39118i | 0.0908723 | − | 0.0660226i | ||||
\(445\) | −5.86006 | + | 18.0354i | −0.277793 | + | 0.854960i | ||||
\(446\) | −9.93822 | + | 30.5867i | −0.470588 | + | 1.44832i | ||||
\(447\) | −30.1441 | + | 21.9010i | −1.42577 | + | 1.03588i | ||||
\(448\) | 19.7336 | + | 14.3373i | 0.932325 | + | 0.677374i | ||||
\(449\) | 5.73668 | + | 17.6557i | 0.270731 | + | 0.833224i | 0.990317 | + | 0.138821i | \(0.0443314\pi\) |
−0.719587 | + | 0.694403i | \(0.755669\pi\) | |||||||
\(450\) | −10.9702 | −0.517142 | ||||||||
\(451\) | −6.09803 | + | 3.65444i | −0.287145 | + | 0.172081i | ||||
\(452\) | −3.29572 | −0.155017 | ||||||||
\(453\) | −12.9432 | − | 39.8352i | −0.608127 | − | 1.87162i | ||||
\(454\) | −24.1808 | − | 17.5684i | −1.13486 | − | 0.824524i | ||||
\(455\) | 5.51315 | − | 4.00554i | 0.258460 | − | 0.187782i | ||||
\(456\) | −24.4926 | + | 75.3805i | −1.14697 | + | 3.53002i | ||||
\(457\) | −0.868675 | + | 2.67351i | −0.0406349 | + | 0.125061i | −0.969316 | − | 0.245818i | \(-0.920944\pi\) |
0.928681 | + | 0.370879i | \(0.120944\pi\) | |||||||
\(458\) | 15.9514 | − | 11.5893i | 0.745358 | − | 0.541534i | ||||
\(459\) | 6.96638 | + | 5.06137i | 0.325163 | + | 0.236245i | ||||
\(460\) | −4.71792 | − | 14.5203i | −0.219974 | − | 0.677010i | ||||
\(461\) | 31.3380 | 1.45956 | 0.729778 | − | 0.683684i | \(-0.239623\pi\) | ||||
0.729778 | + | 0.683684i | \(0.239623\pi\) | |||||||
\(462\) | 73.4584 | + | 6.51272i | 3.41759 | + | 0.302999i | ||||
\(463\) | −30.6432 | −1.42411 | −0.712055 | − | 0.702123i | \(-0.752235\pi\) | ||||
−0.712055 | + | 0.702123i | \(0.752235\pi\) | |||||||
\(464\) | −0.686410 | − | 2.11255i | −0.0318658 | − | 0.0980727i | ||||
\(465\) | −28.1812 | − | 20.4748i | −1.30687 | − | 0.949498i | ||||
\(466\) | 9.83341 | − | 7.14439i | 0.455524 | − | 0.330957i | ||||
\(467\) | 3.60391 | − | 11.0917i | 0.166769 | − | 0.513263i | −0.832393 | − | 0.554186i | \(-0.813030\pi\) |
0.999162 | + | 0.0409228i | \(0.0130298\pi\) | |||||||
\(468\) | 4.50383 | − | 13.8614i | 0.208190 | − | 0.640742i | ||||
\(469\) | −20.9032 | + | 15.1871i | −0.965220 | + | 0.701274i | ||||
\(470\) | 42.2719 | + | 30.7123i | 1.94986 | + | 1.41665i | ||||
\(471\) | −3.37235 | − | 10.3790i | −0.155390 | − | 0.478240i | ||||
\(472\) | 43.3216 | 1.99404 | ||||||||
\(473\) | 8.05386 | − | 18.9126i | 0.370317 | − | 0.869604i | ||||
\(474\) | 53.8382 | 2.47287 | ||||||||
\(475\) | 2.31691 | + | 7.13070i | 0.106307 | + | 0.327179i | ||||
\(476\) | 68.6528 | + | 49.8792i | 3.14670 | + | 2.28621i | ||||
\(477\) | −20.7550 | + | 15.0794i | −0.950306 | + | 0.690438i | ||||
\(478\) | 14.3368 | − | 44.1243i | 0.655752 | − | 2.01820i | ||||
\(479\) | −8.62988 | + | 26.5600i | −0.394309 | + | 1.21356i | 0.535189 | + | 0.844732i | \(0.320240\pi\) |
−0.929498 | + | 0.368827i | \(0.879760\pi\) | |||||||
\(480\) | 3.39954 | − | 2.46991i | 0.155167 | − | 0.112736i | ||||
\(481\) | 0.182935 | + | 0.132910i | 0.00834111 | + | 0.00606017i | ||||
\(482\) | 11.2070 | + | 34.4916i | 0.510466 | + | 1.57105i | ||||
\(483\) | 17.3940 | 0.791455 | ||||||||
\(484\) | 44.2233 | + | 7.90369i | 2.01015 | + | 0.359259i | ||||
\(485\) | −10.2506 | −0.465456 | ||||||||
\(486\) | −16.9498 | − | 52.1662i | −0.768859 | − | 2.36630i | ||||
\(487\) | −12.9501 | − | 9.40877i | −0.586823 | − | 0.426352i | 0.254354 | − | 0.967111i | \(-0.418137\pi\) |
−0.841177 | + | 0.540759i | \(0.818137\pi\) | |||||||
\(488\) | 32.0716 | − | 23.3014i | 1.45181 | − | 1.05480i | ||||
\(489\) | 2.01056 | − | 6.18787i | 0.0909207 | − | 0.279825i | ||||
\(490\) | −7.93228 | + | 24.4130i | −0.358344 | + | 1.10287i | ||||
\(491\) | 22.7520 | − | 16.5303i | 1.02678 | − | 0.746002i | 0.0591212 | − | 0.998251i | \(-0.481170\pi\) |
0.967662 | + | 0.252249i | \(0.0811702\pi\) | |||||||
\(492\) | −18.1514 | − | 13.1878i | −0.818328 | − | 0.594550i | ||||
\(493\) | 0.898890 | + | 2.76650i | 0.0404840 | + | 0.124597i | ||||
\(494\) | −14.8393 | −0.667651 | ||||||||
\(495\) | −8.98475 | + | 21.0986i | −0.403834 | + | 0.948312i | ||||
\(496\) | −31.6454 | −1.42092 | ||||||||
\(497\) | 3.92695 | + | 12.0859i | 0.176148 | + | 0.542127i | ||||
\(498\) | 32.0569 | + | 23.2907i | 1.43650 | + | 1.04368i | ||||
\(499\) | 2.16106 | − | 1.57010i | 0.0967425 | − | 0.0702875i | −0.538362 | − | 0.842713i | \(-0.680957\pi\) |
0.635105 | + | 0.772426i | \(0.280957\pi\) | |||||||
\(500\) | 15.2729 | − | 47.0051i | 0.683024 | − | 2.10213i | ||||
\(501\) | −12.8481 | + | 39.5425i | −0.574012 | + | 1.76663i | ||||
\(502\) | −44.9741 | + | 32.6756i | −2.00729 | + | 1.45838i | ||||
\(503\) | 18.7295 | + | 13.6078i | 0.835107 | + | 0.606741i | 0.921000 | − | 0.389563i | \(-0.127374\pi\) |
−0.0858922 | + | 0.996304i | \(0.527374\pi\) | |||||||
\(504\) | 19.9388 | + | 61.3653i | 0.888145 | + | 2.73343i | ||||
\(505\) | −3.84184 | −0.170960 | ||||||||
\(506\) | 15.7232 | + | 1.39400i | 0.698980 | + | 0.0619707i | ||||
\(507\) | 2.56295 | 0.113825 | ||||||||
\(508\) | −14.1105 | − | 43.4277i | −0.626054 | − | 1.92679i | ||||
\(509\) | 1.63946 | + | 1.19114i | 0.0726677 | + | 0.0527962i | 0.623526 | − | 0.781803i | \(-0.285700\pi\) |
−0.550858 | + | 0.834599i | \(0.685700\pi\) | |||||||
\(510\) | −58.5370 | + | 42.5296i | −2.59206 | + | 1.88324i | ||||
\(511\) | −15.5032 | + | 47.7138i | −0.685820 | + | 2.11074i | ||||
\(512\) | −13.1517 | + | 40.4768i | −0.581229 | + | 1.78884i | ||||
\(513\) | 7.09448 | − | 5.15444i | 0.313229 | − | 0.227574i | ||||
\(514\) | −48.4853 | − | 35.2266i | −2.13859 | − | 1.55378i | ||||
\(515\) | −5.71755 | − | 17.5968i | −0.251946 | − | 0.775409i | ||||
\(516\) | 64.8740 | 2.85592 | ||||||||
\(517\) | −31.1051 | + | 18.6407i | −1.36800 | + | 0.819817i | ||||
\(518\) | −1.96175 | −0.0861942 | ||||||||
\(519\) | −1.29455 | − | 3.98420i | −0.0568242 | − | 0.174887i | ||||
\(520\) | 8.05719 | + | 5.85389i | 0.353331 | + | 0.256710i | ||||
\(521\) | 11.1244 | − | 8.08238i | 0.487370 | − | 0.354095i | −0.316802 | − | 0.948492i | \(-0.602609\pi\) |
0.804172 | + | 0.594396i | \(0.202609\pi\) | |||||||
\(522\) | −1.33940 | + | 4.12225i | −0.0586239 | + | 0.180426i | ||||
\(523\) | −2.98708 | + | 9.19328i | −0.130616 | + | 0.401994i | −0.994882 | − | 0.101040i | \(-0.967783\pi\) |
0.864267 | + | 0.503034i | \(0.167783\pi\) | |||||||
\(524\) | 12.3712 | − | 8.98823i | 0.540440 | − | 0.392653i | ||||
\(525\) | 9.08899 | + | 6.60354i | 0.396676 | + | 0.288202i | ||||
\(526\) | −4.05685 | − | 12.4857i | −0.176887 | − | 0.544403i | ||||
\(527\) | 41.4413 | 1.80521 | ||||||||
\(528\) | 8.58256 | + | 37.3731i | 0.373508 | + | 1.62645i | ||||
\(529\) | −19.2770 | −0.838128 | ||||||||
\(530\) | −10.6160 | − | 32.6727i | −0.461130 | − | 1.41921i | ||||
\(531\) | −24.3322 | − | 17.6784i | −1.05593 | − | 0.767176i | ||||
\(532\) | 69.9153 | − | 50.7964i | 3.03121 | − | 2.20230i | ||||
\(533\) | 0.662381 | − | 2.03860i | 0.0286909 | − | 0.0883015i | ||||
\(534\) | 19.1208 | − | 58.8476i | 0.827436 | − | 2.54659i | ||||
\(535\) | −1.24256 | + | 0.902771i | −0.0537205 | + | 0.0390302i | ||||
\(536\) | −30.5490 | − | 22.1951i | −1.31952 | − | 0.958684i | ||||
\(537\) | −4.47221 | − | 13.7640i | −0.192990 | − | 0.593962i | ||||
\(538\) | −18.9121 | −0.815356 | ||||||||
\(539\) | −13.4315 | − | 11.7033i | −0.578538 | − | 0.504095i | ||||
\(540\) | −11.5336 | −0.496325 | ||||||||
\(541\) | 10.7047 | + | 32.9458i | 0.460233 | + | 1.41645i | 0.864880 | + | 0.501978i | \(0.167394\pi\) |
−0.404647 | + | 0.914473i | \(0.632606\pi\) | |||||||
\(542\) | −1.87938 | − | 1.36545i | −0.0807264 | − | 0.0586511i | ||||
\(543\) | 0.953374 | − | 0.692666i | 0.0409132 | − | 0.0297252i | ||||
\(544\) | −1.54482 | + | 4.75446i | −0.0662335 | + | 0.203846i | ||||
\(545\) | −4.69901 | + | 14.4621i | −0.201283 | + | 0.619486i | ||||
\(546\) | −17.9888 | + | 13.0696i | −0.769851 | + | 0.559329i | ||||
\(547\) | 16.4451 | + | 11.9481i | 0.703144 | + | 0.510864i | 0.880955 | − | 0.473201i | \(-0.156902\pi\) |
−0.177811 | + | 0.984065i | \(0.556902\pi\) | |||||||
\(548\) | 4.61350 | + | 14.1989i | 0.197079 | + | 0.606547i | ||||
\(549\) | −27.5221 | −1.17462 | ||||||||
\(550\) | 7.68670 | + | 6.69763i | 0.327762 | + | 0.285588i | ||||
\(551\) | 2.96236 | 0.126201 | ||||||||
\(552\) | 7.85536 | + | 24.1763i | 0.334346 | + | 1.02901i | ||||
\(553\) | −24.2338 | − | 17.6069i | −1.03053 | − | 0.748722i | ||||
\(554\) | 15.4093 | − | 11.1955i | 0.654680 | − | 0.475653i | ||||
\(555\) | 0.346972 | − | 1.06787i | 0.0147281 | − | 0.0453285i | ||||
\(556\) | −27.9580 | + | 86.0459i | −1.18568 | + | 3.64916i | ||||
\(557\) | 14.9478 | − | 10.8602i | 0.633359 | − | 0.460162i | −0.224203 | − | 0.974542i | \(-0.571978\pi\) |
0.857562 | + | 0.514380i | \(0.171978\pi\) | |||||||
\(558\) | 49.9568 | + | 36.2957i | 2.11484 | + | 1.53652i | ||||
\(559\) | 1.91525 | + | 5.89455i | 0.0810066 | + | 0.249313i | ||||
\(560\) | −30.7414 | −1.29906 | ||||||||
\(561\) | −11.2393 | − | 48.9420i | −0.474525 | − | 2.06633i | ||||
\(562\) | 58.1464 | 2.45276 | ||||||||
\(563\) | 4.83122 | + | 14.8690i | 0.203612 | + | 0.626652i | 0.999768 | + | 0.0215604i | \(0.00686343\pi\) |
−0.796156 | + | 0.605091i | \(0.793137\pi\) | |||||||
\(564\) | −92.5873 | − | 67.2686i | −3.89863 | − | 2.83252i | ||||
\(565\) | −1.26489 | + | 0.918998i | −0.0532144 | + | 0.0386625i | ||||
\(566\) | 1.73237 | − | 5.33168i | 0.0728169 | − | 0.224107i | ||||
\(567\) | −7.57614 | + | 23.3169i | −0.318168 | + | 0.979220i | ||||
\(568\) | −15.0250 | + | 10.9163i | −0.630435 | + | 0.458038i | ||||
\(569\) | 27.0846 | + | 19.6781i | 1.13545 | + | 0.824951i | 0.986478 | − | 0.163891i | \(-0.0524046\pi\) |
0.148969 | + | 0.988842i | \(0.452405\pi\) | |||||||
\(570\) | 22.7703 | + | 70.0797i | 0.953742 | + | 2.93532i | ||||
\(571\) | −35.1015 | −1.46895 | −0.734476 | − | 0.678635i | \(-0.762572\pi\) | ||||
−0.734476 | + | 0.678635i | \(0.762572\pi\) | |||||||
\(572\) | −11.6185 | + | 6.96277i | −0.485795 | + | 0.291128i | ||||
\(573\) | −19.5474 | −0.816605 | ||||||||
\(574\) | 5.74661 | + | 17.6863i | 0.239859 | + | 0.738210i | ||||
\(575\) | 1.94543 | + | 1.41343i | 0.0811298 | + | 0.0589443i | ||||
\(576\) | 20.0221 | − | 14.5469i | 0.834255 | − | 0.606122i | ||||
\(577\) | 9.67856 | − | 29.7875i | 0.402924 | − | 1.24007i | −0.519693 | − | 0.854353i | \(-0.673954\pi\) |
0.922617 | − | 0.385719i | \(-0.126046\pi\) | |||||||
\(578\) | 13.6427 | − | 41.9879i | 0.567461 | − | 1.74646i | ||||
\(579\) | −21.6071 | + | 15.6985i | −0.897961 | + | 0.652407i | ||||
\(580\) | −3.15207 | − | 2.29011i | −0.130883 | − | 0.0950917i | ||||
\(581\) | −6.81272 | − | 20.9674i | −0.282639 | − | 0.869874i | ||||
\(582\) | 33.4466 | 1.38641 | ||||||||
\(583\) | 23.7491 | + | 2.10557i | 0.983589 | + | 0.0872037i | ||||
\(584\) | −73.3199 | −3.03400 | ||||||||
\(585\) | −2.13662 | − | 6.57585i | −0.0883385 | − | 0.271878i | ||||
\(586\) | 7.88206 | + | 5.72665i | 0.325605 | + | 0.236566i | ||||
\(587\) | 29.6215 | − | 21.5213i | 1.22261 | − | 0.888280i | 0.226298 | − | 0.974058i | \(-0.427338\pi\) |
0.996314 | + | 0.0857787i | \(0.0273378\pi\) | |||||||
\(588\) | 17.3739 | − | 53.4714i | 0.716489 | − | 2.20512i | ||||
\(589\) | 13.0416 | − | 40.1378i | 0.537368 | − | 1.65385i | ||||
\(590\) | 32.5833 | − | 23.6732i | 1.34143 | − | 0.974608i | ||||
\(591\) | 11.9437 | + | 8.67759i | 0.491297 | + | 0.356948i | ||||
\(592\) | −0.315212 | − | 0.970122i | −0.0129551 | − | 0.0398718i | ||||
\(593\) | −31.4710 | −1.29236 | −0.646179 | − | 0.763186i | \(-0.723634\pi\) | ||||
−0.646179 | + | 0.763186i | \(0.723634\pi\) | |||||||
\(594\) | 4.67197 | − | 10.9710i | 0.191693 | − | 0.450147i | ||||
\(595\) | 40.2575 | 1.65040 | ||||||||
\(596\) | 18.3473 | + | 56.4673i | 0.751536 | + | 2.31299i | ||||
\(597\) | 34.5743 | + | 25.1197i | 1.41503 | + | 1.02808i | ||||
\(598\) | −3.85036 | + | 2.79745i | −0.157453 | + | 0.114396i | ||||
\(599\) | −14.0939 | + | 43.3767i | −0.575863 | + | 1.77232i | 0.0573593 | + | 0.998354i | \(0.481732\pi\) |
−0.633222 | + | 0.773970i | \(0.718268\pi\) | |||||||
\(600\) | −5.07369 | + | 15.6152i | −0.207133 | + | 0.637489i | ||||
\(601\) | −0.886401 | + | 0.644008i | −0.0361571 | + | 0.0262696i | −0.605717 | − | 0.795680i | \(-0.707114\pi\) |
0.569560 | + | 0.821950i | \(0.307114\pi\) | |||||||
\(602\) | −43.5017 | − | 31.6058i | −1.77300 | − | 1.28816i | ||||
\(603\) | 8.10105 | + | 24.9325i | 0.329900 | + | 1.01533i | ||||
\(604\) | −66.7431 | −2.71574 | ||||||||
\(605\) | 19.1768 | − | 9.29808i | 0.779647 | − | 0.378021i | ||||
\(606\) | 12.5355 | 0.509221 | ||||||||
\(607\) | −0.481829 | − | 1.48292i | −0.0195568 | − | 0.0601898i | 0.940802 | − | 0.338957i | \(-0.110074\pi\) |
−0.960359 | + | 0.278767i | \(0.910074\pi\) | |||||||
\(608\) | 4.11875 | + | 2.99245i | 0.167038 | + | 0.121360i | ||||
\(609\) | 3.59110 | − | 2.60909i | 0.145519 | − | 0.105725i | ||||
\(610\) | 11.3888 | − | 35.0511i | 0.461119 | − | 1.41918i | ||||
\(611\) | 3.37870 | − | 10.3986i | 0.136687 | − | 0.420681i | ||||
\(612\) | 69.6566 | − | 50.6085i | 2.81570 | − | 2.04573i | ||||
\(613\) | −13.8208 | − | 10.0414i | −0.558215 | − | 0.405567i | 0.272590 | − | 0.962130i | \(-0.412120\pi\) |
−0.830805 | + | 0.556563i | \(0.812120\pi\) | |||||||
\(614\) | 25.1087 | + | 77.2767i | 1.01331 | + | 3.11863i | ||||
\(615\) | −10.6438 | −0.429201 | ||||||||
\(616\) | 23.4944 | − | 55.1711i | 0.946615 | − | 2.22291i | ||||
\(617\) | −30.7086 | −1.23628 | −0.618142 | − | 0.786067i | \(-0.712114\pi\) | ||||
−0.618142 | + | 0.786067i | \(0.712114\pi\) | |||||||
\(618\) | 18.6558 | + | 57.4166i | 0.750446 | + | 2.30963i | ||||
\(619\) | −30.2921 | − | 22.0085i | −1.21754 | − | 0.884598i | −0.221650 | − | 0.975126i | \(-0.571144\pi\) |
−0.995894 | + | 0.0905285i | \(0.971144\pi\) | |||||||
\(620\) | −44.9061 | + | 32.6262i | −1.80347 | + | 1.31030i | ||||
\(621\) | 0.869113 | − | 2.67486i | 0.0348763 | − | 0.107338i | ||||
\(622\) | 16.8882 | − | 51.9766i | 0.677157 | − | 2.08407i | ||||
\(623\) | −27.8519 | + | 20.2356i | −1.11586 | + | 0.810721i | ||||
\(624\) | −9.35362 | − | 6.79580i | −0.374445 | − | 0.272050i | ||||
\(625\) | −5.31990 | − | 16.3730i | −0.212796 | − | 0.654919i | ||||
\(626\) | 54.2374 | 2.16776 | ||||||||
\(627\) | −50.9396 | − | 4.51623i | −2.03433 | − | 0.180361i | ||||
\(628\) | −17.3899 | −0.693931 | ||||||||
\(629\) | 0.412787 | + | 1.27043i | 0.0164589 | + | 0.0506553i | ||||
\(630\) | 48.5297 | + | 35.2589i | 1.93347 | + | 1.40475i | ||||
\(631\) | −33.6226 | + | 24.4282i | −1.33849 | + | 0.972472i | −0.338995 | + | 0.940788i | \(0.610087\pi\) |
−0.999498 | + | 0.0316841i | \(0.989913\pi\) | |||||||
\(632\) | 13.5279 | − | 41.6347i | 0.538112 | − | 1.65614i | ||||
\(633\) | 2.27070 | − | 6.98850i | 0.0902522 | − | 0.277768i | ||||
\(634\) | 3.68970 | − | 2.68072i | 0.146537 | − | 0.106465i | ||||
\(635\) | −17.5253 | − | 12.7328i | −0.695469 | − | 0.505288i | ||||
\(636\) | 23.2520 | + | 71.5624i | 0.922004 | + | 2.83764i | ||||
\(637\) | 5.37141 | 0.212823 | ||||||||
\(638\) | 3.45524 | − | 2.07066i | 0.136794 | − | 0.0819784i | ||||
\(639\) | 12.8937 | 0.510066 | ||||||||
\(640\) | 11.2544 | + | 34.6376i | 0.444871 | + | 1.36917i | ||||
\(641\) | 6.25865 | + | 4.54718i | 0.247202 | + | 0.179603i | 0.704486 | − | 0.709718i | \(-0.251178\pi\) |
−0.457284 | + | 0.889321i | \(0.651178\pi\) | |||||||
\(642\) | 4.05434 | − | 2.94565i | 0.160012 | − | 0.116255i | ||||
\(643\) | −0.788549 | + | 2.42690i | −0.0310973 | + | 0.0957078i | −0.965401 | − | 0.260772i | \(-0.916023\pi\) |
0.934303 | + | 0.356479i | \(0.116023\pi\) | |||||||
\(644\) | 8.56501 | − | 26.3604i | 0.337509 | − | 1.03874i | ||||
\(645\) | 24.8986 | − | 18.0899i | 0.980380 | − | 0.712288i | ||||
\(646\) | −70.9211 | − | 51.5272i | −2.79036 | − | 2.02731i | ||||
\(647\) | −3.42857 | − | 10.5521i | −0.134791 | − | 0.414845i | 0.860766 | − | 0.509000i | \(-0.169985\pi\) |
−0.995557 | + | 0.0941558i | \(0.969985\pi\) | |||||||
\(648\) | −35.8302 | −1.40754 | ||||||||
\(649\) | 6.25612 | + | 27.2425i | 0.245574 | + | 1.06936i | ||||
\(650\) | −3.07399 | −0.120572 | ||||||||
\(651\) | −19.5417 | − | 60.1431i | −0.765898 | − | 2.35719i | ||||
\(652\) | −8.38761 | − | 6.09395i | −0.328484 | − | 0.238658i | ||||
\(653\) | 18.2463 | − | 13.2567i | 0.714033 | − | 0.518775i | −0.170439 | − | 0.985368i | \(-0.554519\pi\) |
0.884472 | + | 0.466593i | \(0.154519\pi\) | |||||||
\(654\) | 15.3324 | − | 47.1882i | 0.599543 | − | 1.84520i | ||||
\(655\) | 2.24173 | − | 6.89935i | 0.0875918 | − | 0.269580i | ||||
\(656\) | −7.82284 | + | 5.68363i | −0.305431 | + | 0.221908i | ||||
\(657\) | 41.1812 | + | 29.9199i | 1.60663 | + | 1.16729i | ||||
\(658\) | 29.3125 | + | 90.2147i | 1.14272 | + | 3.51694i | ||||
\(659\) | −12.2913 | −0.478800 | −0.239400 | − | 0.970921i | \(-0.576951\pi\) | ||||
−0.239400 | + | 0.970921i | \(0.576951\pi\) | |||||||
\(660\) | 50.7103 | + | 44.1853i | 1.97390 | + | 1.71991i | ||||
\(661\) | 25.4759 | 0.990899 | 0.495449 | − | 0.868637i | \(-0.335003\pi\) | ||||
0.495449 | + | 0.868637i | \(0.335003\pi\) | |||||||
\(662\) | −20.3068 | − | 62.4978i | −0.789244 | − | 2.42904i | ||||
\(663\) | 12.2491 | + | 8.89947i | 0.475715 | + | 0.345627i | ||||
\(664\) | 26.0663 | − | 18.9383i | 1.01157 | − | 0.734948i | ||||
\(665\) | 12.6690 | − | 38.9912i | 0.491283 | − | 1.51201i | ||||
\(666\) | −0.615077 | + | 1.89301i | −0.0238337 | + | 0.0733527i | ||||
\(667\) | 0.768646 | − | 0.558454i | 0.0297621 | − | 0.0216234i | ||||
\(668\) | 53.5995 | + | 38.9423i | 2.07383 | + | 1.50672i | ||||
\(669\) | −10.3265 | − | 31.7818i | −0.399247 | − | 1.22876i | ||||
\(670\) | −35.1053 | −1.35624 | ||||||||
\(671\) | 19.2844 | + | 16.8030i | 0.744466 | + | 0.648673i | ||||
\(672\) | 7.62852 | 0.294276 | ||||||||
\(673\) | −4.51463 | − | 13.8946i | −0.174026 | − | 0.535597i | 0.825562 | − | 0.564312i | \(-0.190858\pi\) |
−0.999588 | + | 0.0287149i | \(0.990858\pi\) | |||||||
\(674\) | −30.5854 | − | 22.2216i | −1.17810 | − | 0.855942i | ||||
\(675\) | 1.46964 | − | 1.06775i | 0.0565663 | − | 0.0410978i | ||||
\(676\) | 1.26203 | − | 3.88412i | 0.0485395 | − | 0.149389i | ||||
\(677\) | 7.70688 | − | 23.7193i | 0.296199 | − | 0.911608i | −0.686616 | − | 0.727020i | \(-0.740905\pi\) |
0.982816 | − | 0.184588i | \(-0.0590952\pi\) | |||||||
\(678\) | 4.12721 | − | 2.99859i | 0.158505 | − | 0.115160i | ||||
\(679\) | −15.0551 | − | 10.9382i | −0.577763 | − | 0.419769i | ||||
\(680\) | 18.1808 | + | 55.9548i | 0.697202 | + | 2.14577i | ||||
\(681\) | 31.0569 | 1.19010 | ||||||||
\(682\) | −12.8445 | − | 55.9320i | −0.491843 | − | 2.14175i | ||||
\(683\) | 21.1675 | 0.809952 | 0.404976 | − | 0.914327i | \(-0.367280\pi\) | ||||
0.404976 | + | 0.914327i | \(0.367280\pi\) | |||||||
\(684\) | −27.0957 | − | 83.3920i | −1.03603 | − | 3.18857i | ||||
\(685\) | 5.72997 | + | 4.16306i | 0.218931 | + | 0.159063i | ||||
\(686\) | 11.4307 | − | 8.30489i | 0.436426 | − | 0.317082i | ||||
\(687\) | −6.33094 | + | 19.4846i | −0.241540 | + | 0.743385i | ||||
\(688\) | 8.63988 | − | 26.5908i | 0.329393 | − | 1.01377i | ||||
\(689\) | −5.81580 | + | 4.22543i | −0.221564 | + | 0.160976i | ||||
\(690\) | 19.1194 | + | 13.8911i | 0.727864 | + | 0.528824i | ||||
\(691\) | −13.2518 | − | 40.7848i | −0.504122 | − | 1.55153i | −0.802242 | − | 0.596998i | \(-0.796360\pi\) |
0.298121 | − | 0.954528i | \(-0.403640\pi\) | |||||||
\(692\) | −6.67545 | −0.253763 | ||||||||
\(693\) | −35.7098 | + | 21.4002i | −1.35650 | + | 0.812927i | ||||
\(694\) | 32.6895 | 1.24087 | ||||||||
\(695\) | 13.2633 | + | 40.8203i | 0.503106 | + | 1.54840i | ||||
\(696\) | 5.24821 | + | 3.81305i | 0.198933 | + | 0.144533i | ||||
\(697\) | 10.2444 | − | 7.44301i | 0.388035 | − | 0.281924i | ||||
\(698\) | −26.3837 | + | 81.2007i | −0.998638 | + | 3.07349i | ||||
\(699\) | −3.90278 | + | 12.0115i | −0.147617 | + | 0.454318i | ||||
\(700\) | 14.4831 | − | 10.5226i | 0.547409 | − | 0.397716i | ||||
\(701\) | 5.81876 | + | 4.22758i | 0.219771 | + | 0.159673i | 0.692224 | − | 0.721683i | \(-0.256631\pi\) |
−0.472452 | + | 0.881356i | \(0.656631\pi\) | |||||||
\(702\) | 1.11102 | + | 3.41937i | 0.0419327 | + | 0.129056i | ||||
\(703\) | 1.36037 | 0.0513073 | ||||||||
\(704\) | −22.9105 | − | 2.03122i | −0.863473 | − | 0.0765544i | ||||
\(705\) | −54.2925 | −2.04477 | ||||||||
\(706\) | −11.4073 | − | 35.1080i | −0.429319 | − | 1.32131i | ||||
\(707\) | −5.64254 | − | 4.09954i | −0.212209 | − | 0.154179i | ||||
\(708\) | −71.3666 | + | 51.8509i | −2.68212 | + | 1.94867i | ||||
\(709\) | 7.26263 | − | 22.3521i | 0.272754 | − | 0.839450i | −0.717051 | − | 0.697020i | \(-0.754509\pi\) |
0.989805 | − | 0.142429i | \(-0.0454913\pi\) | |||||||
\(710\) | −5.33547 | + | 16.4209i | −0.200237 | + | 0.616265i | ||||
\(711\) | −24.5882 | + | 17.8643i | −0.922128 | + | 0.669965i | ||||
\(712\) | −40.7042 | − | 29.5733i | −1.52545 | − | 1.10831i | ||||
\(713\) | −4.18274 | − | 12.8731i | −0.156645 | − | 0.482103i | ||||
\(714\) | −131.356 | −4.91588 | ||||||||
\(715\) | −2.51763 | + | 5.91208i | −0.0941542 | + | 0.221099i | ||||
\(716\) | −23.0614 | −0.861844 | ||||||||
\(717\) | 14.8970 | + | 45.8483i | 0.556339 | + | 1.71224i | ||||
\(718\) | −54.7732 | − | 39.7951i | −2.04412 | − | 1.48514i | ||||
\(719\) | 32.4137 | − | 23.5499i | 1.20883 | − | 0.878265i | 0.213704 | − | 0.976898i | \(-0.431447\pi\) |
0.995124 | + | 0.0986338i | \(0.0314472\pi\) | |||||||
\(720\) | −9.63850 | + | 29.6643i | −0.359206 | + | 1.10552i | ||||
\(721\) | 10.3798 | − | 31.9456i | 0.386563 | − | 1.18972i | ||||
\(722\) | −34.3107 | + | 24.9282i | −1.27691 | + | 0.927731i | ||||
\(723\) | −30.4867 | − | 22.1499i | −1.13381 | − | 0.823764i | ||||
\(724\) | −0.580275 | − | 1.78590i | −0.0215657 | − | 0.0663725i | ||||
\(725\) | 0.613659 | 0.0227907 | ||||||||
\(726\) | −62.5718 | + | 30.3387i | −2.32226 | + | 1.12597i | ||||
\(727\) | −4.31909 | −0.160186 | −0.0800931 | − | 0.996787i | \(-0.525522\pi\) | ||||
−0.0800931 | + | 0.996787i | \(0.525522\pi\) | |||||||
\(728\) | 5.58709 | + | 17.1953i | 0.207071 | + | 0.637300i | ||||
\(729\) | 29.1916 | + | 21.2089i | 1.08117 | + | 0.785516i | ||||
\(730\) | −55.1459 | + | 40.0658i | −2.04104 | + | 1.48290i | ||||
\(731\) | −11.3144 | + | 34.8221i | −0.418478 | + | 1.28794i | ||||
\(732\) | −24.9447 | + | 76.7718i | −0.921982 | + | 2.83757i | ||||
\(733\) | 20.8882 | − | 15.1761i | 0.771522 | − | 0.560544i | −0.130900 | − | 0.991396i | \(-0.541787\pi\) |
0.902423 | + | 0.430852i | \(0.141787\pi\) | |||||||
\(734\) | 22.7429 | + | 16.5237i | 0.839455 | + | 0.609899i | ||||
\(735\) | −8.24221 | − | 25.3669i | −0.304019 | − | 0.935673i | ||||
\(736\) | 1.63282 | 0.0601867 | ||||||||
\(737\) | 9.54566 | − | 22.4158i | 0.351619 | − | 0.825695i | ||||
\(738\) | 18.8683 | 0.694553 | ||||||||
\(739\) | 12.5985 | + | 38.7742i | 0.463443 | + | 1.42633i | 0.860930 | + | 0.508723i | \(0.169882\pi\) |
−0.397487 | + | 0.917608i | \(0.630118\pi\) | |||||||
\(740\) | −1.44749 | − | 1.05166i | −0.0532107 | − | 0.0386598i | ||||
\(741\) | 12.4743 | − | 9.06312i | 0.458255 | − | 0.332942i | ||||
\(742\) | 19.2725 | − | 59.3147i | 0.707517 | − | 2.17751i | ||||
\(743\) | 1.51598 | − | 4.66571i | 0.0556159 | − | 0.171168i | −0.919390 | − | 0.393347i | \(-0.871317\pi\) |
0.975006 | + | 0.222179i | \(0.0713170\pi\) | |||||||
\(744\) | 74.7689 | − | 54.3228i | 2.74116 | − | 1.99157i | ||||
\(745\) | 22.7874 | + | 16.5560i | 0.834865 | + | 0.606565i | ||||
\(746\) | 10.5307 | + | 32.4101i | 0.385556 | + | 1.18662i | ||||
\(747\) | −22.3687 | −0.818430 | ||||||||
\(748\) | −79.7053 | − | 7.06657i | −2.91432 | − | 0.258379i | ||||
\(749\) | −2.78828 | −0.101882 | ||||||||
\(750\) | 23.6412 | + | 72.7602i | 0.863255 | + | 2.65683i | ||||
\(751\) | 32.4580 | + | 23.5821i | 1.18441 | + | 0.860523i | 0.992662 | − | 0.120922i | \(-0.0385851\pi\) |
0.191746 | + | 0.981445i | \(0.438585\pi\) | |||||||
\(752\) | −39.9030 | + | 28.9913i | −1.45511 | + | 1.05720i | ||||
\(753\) | 17.8498 | − | 54.9360i | 0.650482 | − | 2.00198i | ||||
\(754\) | −0.375315 | + | 1.15510i | −0.0136682 | + | 0.0420663i | ||||
\(755\) | −25.6159 | + | 18.6111i | −0.932259 | + | 0.677326i | ||||
\(756\) | −16.9394 | − | 12.3072i | −0.616080 | − | 0.447609i | ||||
\(757\) | −0.827339 | − | 2.54629i | −0.0300702 | − | 0.0925464i | 0.934895 | − | 0.354924i | \(-0.115493\pi\) |
−0.964965 | + | 0.262378i | \(0.915493\pi\) | |||||||
\(758\) | −35.2809 | −1.28146 | ||||||||
\(759\) | −14.0687 | + | 8.43112i | −0.510662 | + | 0.306030i | ||||
\(760\) | 59.9162 | 2.17339 | ||||||||
\(761\) | 6.94557 | + | 21.3763i | 0.251777 | + | 0.774889i | 0.994448 | + | 0.105232i | \(0.0335586\pi\) |
−0.742671 | + | 0.669656i | \(0.766441\pi\) | |||||||
\(762\) | 57.1831 | + | 41.5460i | 2.07153 | + | 1.50505i | ||||
\(763\) | −22.3336 | + | 16.2263i | −0.808531 | + | 0.587432i | ||||
\(764\) | −9.62537 | + | 29.6238i | −0.348234 | + | 1.07175i | ||||
\(765\) | 12.6221 | − | 38.8469i | 0.456354 | − | 1.40451i | ||||
\(766\) | 30.7592 | − | 22.3479i | 1.11138 | − | 0.807462i | ||||
\(767\) | −6.81817 | − | 4.95369i | −0.246190 | − | 0.178867i | ||||
\(768\) | −25.7373 | − | 79.2111i | −0.928713 | − | 2.85829i | ||||
\(769\) | −16.3437 | −0.589369 | −0.294684 | − | 0.955595i | \(-0.595215\pi\) | ||||
−0.294684 | + | 0.955595i | \(0.595215\pi\) | |||||||
\(770\) | −12.4776 | − | 54.3342i | −0.449662 | − | 1.95807i | ||||
\(771\) | 62.2727 | 2.24270 | ||||||||
\(772\) | 13.1513 | + | 40.4754i | 0.473324 | + | 1.45674i | ||||
\(773\) | −5.50419 | − | 3.99903i | −0.197972 | − | 0.143835i | 0.484383 | − | 0.874856i | \(-0.339044\pi\) |
−0.682355 | + | 0.731021i | \(0.739044\pi\) | |||||||
\(774\) | −44.1377 | + | 32.0679i | −1.58650 | + | 1.15266i | ||||
\(775\) | 2.70159 | − | 8.31463i | 0.0970439 | − | 0.298670i | ||||
\(776\) | 8.40414 | − | 25.8653i | 0.301691 | − | 0.928509i | ||||
\(777\) | 1.64910 | − | 1.19814i | 0.0591611 | − | 0.0429830i | ||||
\(778\) | 37.0554 | + | 26.9223i | 1.32850 | + | 0.965213i | ||||
\(779\) | −3.98498 | − | 12.2645i | −0.142777 | − | 0.439421i | ||||
\(780\) | −20.2796 | −0.726126 | ||||||||
\(781\) | −9.03442 | − | 7.87194i | −0.323277 | − | 0.281680i | ||||
\(782\) | −28.1157 | −1.00542 | ||||||||
\(783\) | −0.221792 | − | 0.682606i | −0.00792621 | − | 0.0243944i | ||||
\(784\) | −19.6032 | − | 14.2426i | −0.700116 | − | 0.508664i | ||||
\(785\) | −6.67420 | + | 4.84909i | −0.238213 | + | 0.173072i | ||||
\(786\) | −7.31454 | + | 22.5118i | −0.260901 | + | 0.802971i | ||||
\(787\) | −4.36453 | + | 13.4326i | −0.155579 | + | 0.478822i | −0.998219 | − | 0.0596550i | \(-0.981000\pi\) |
0.842641 | + | 0.538477i | \(0.181000\pi\) | |||||||
\(788\) | 19.0320 | − | 13.8275i | 0.677986 | − | 0.492586i | ||||
\(789\) | 11.0360 | + | 8.01809i | 0.392891 | + | 0.285452i | ||||
\(790\) | −12.5766 | − | 38.7069i | −0.447457 | − | 1.37713i | ||||
\(791\) | −2.83840 | −0.100922 | ||||||||
\(792\) | −45.8717 | − | 39.9692i | −1.62998 | − | 1.42024i | ||||
\(793\) | −7.71203 | −0.273862 | ||||||||
\(794\) | 12.8023 | + | 39.4015i | 0.454337 | + | 1.39831i | ||||
\(795\) | 28.8790 | + | 20.9818i | 1.02423 | + | 0.744149i | ||||
\(796\) | 55.0933 | − | 40.0276i | 1.95273 | − | 1.41874i | ||||
\(797\) | −9.50826 | + | 29.2634i | −0.336800 | + | 1.03656i | 0.629029 | + | 0.777382i | \(0.283453\pi\) |
−0.965829 | + | 0.259181i | \(0.916547\pi\) | |||||||
\(798\) | −41.3377 | + | 127.224i | −1.46334 | + | 4.50369i | ||||
\(799\) | 52.2552 | − | 37.9656i | 1.84865 | − | 1.34313i | ||||
\(800\) | 0.853209 | + | 0.619892i | 0.0301655 | + | 0.0219165i | ||||
\(801\) | 10.7940 | + | 33.2206i | 0.381388 | + | 1.17379i | ||||
\(802\) | 55.1189 | 1.94632 | ||||||||
\(803\) | −10.5882 | − | 46.1068i | −0.373650 | − | 1.62707i | ||||
\(804\) | 76.8905 | 2.71172 | ||||||||
\(805\) | −4.06325 | − | 12.5054i | −0.143211 | − | 0.440757i | ||||
\(806\) | 13.9985 | + | 10.1705i | 0.493076 | + | 0.358241i | ||||
\(807\) | 15.8980 | − | 11.5506i | 0.559636 | − | 0.406599i | ||||
\(808\) | 3.14980 | − | 9.69409i | 0.110810 | − | 0.341037i | ||||
\(809\) | −11.9760 | + | 36.8583i | −0.421053 | + | 1.29587i | 0.485670 | + | 0.874142i | \(0.338576\pi\) |
−0.906723 | + | 0.421727i | \(0.861424\pi\) | |||||||
\(810\) | −26.9489 | + | 19.5795i | −0.946886 | + | 0.687953i | ||||
\(811\) | −17.4912 | − | 12.7081i | −0.614199 | − | 0.446242i | 0.236691 | − | 0.971585i | \(-0.423937\pi\) |
−0.850890 | + | 0.525343i | \(0.823937\pi\) | |||||||
\(812\) | −2.18574 | − | 6.72700i | −0.0767043 | − | 0.236072i | ||||
\(813\) | 2.41381 | 0.0846560 | ||||||||
\(814\) | 1.58671 | − | 0.950887i | 0.0556142 | − | 0.0333286i | ||||
\(815\) | −4.91843 | −0.172285 | ||||||||
\(816\) | −21.1062 | − | 64.9581i | −0.738864 | − | 2.27399i | ||||
\(817\) | 30.1662 | + | 21.9170i | 1.05538 | + | 0.766779i | ||||
\(818\) | −15.4203 | + | 11.2035i | −0.539159 | + | 0.391722i | ||||
\(819\) | 3.87887 | − | 11.9379i | 0.135539 | − | 0.417145i | ||||
\(820\) | −5.24114 | + | 16.1306i | −0.183029 | + | 0.563304i | ||||
\(821\) | −14.4366 | + | 10.4888i | −0.503840 | + | 0.366061i | −0.810482 | − | 0.585764i | \(-0.800795\pi\) |
0.306642 | + | 0.951825i | \(0.400795\pi\) | |||||||
\(822\) | −18.6963 | − | 13.5836i | −0.652108 | − | 0.473784i | ||||
\(823\) | 2.52135 | + | 7.75991i | 0.0878886 | + | 0.270493i | 0.985335 | − | 0.170630i | \(-0.0545802\pi\) |
−0.897447 | + | 0.441123i | \(0.854580\pi\) | |||||||
\(824\) | 49.0896 | 1.71012 | ||||||||
\(825\) | −10.5522 | − | 0.935547i | −0.367382 | − | 0.0325716i | ||||
\(826\) | 73.1164 | 2.54405 | ||||||||
\(827\) | −5.33090 | − | 16.4068i | −0.185374 | − | 0.570521i | 0.814581 | − | 0.580050i | \(-0.196967\pi\) |
−0.999955 | + | 0.00952853i | \(0.996967\pi\) | |||||||
\(828\) | −22.7513 | − | 16.5298i | −0.790663 | − | 0.574450i | ||||
\(829\) | −35.9473 | + | 26.1172i | −1.24850 | + | 0.907088i | −0.998134 | − | 0.0610630i | \(-0.980551\pi\) |
−0.250366 | + | 0.968151i | \(0.580551\pi\) | |||||||
\(830\) | 9.25631 | − | 28.4880i | 0.321291 | − | 0.988832i | ||||
\(831\) | −6.11582 | + | 18.8226i | −0.212155 | + | 0.652947i | ||||
\(832\) | 5.61044 | − | 4.07622i | 0.194507 | − | 0.141318i | ||||
\(833\) | 25.6715 | + | 18.6514i | 0.889465 | + | 0.646234i | ||||
\(834\) | −43.2768 | − | 133.192i | −1.49855 | − | 4.61207i | ||||
\(835\) | 31.4303 | 1.08769 | ||||||||
\(836\) | −31.9275 | + | 74.9744i | −1.10424 | + | 2.59304i | ||||
\(837\) | −10.2252 | −0.353436 | ||||||||
\(838\) | 22.8707 | + | 70.3887i | 0.790054 | + | 2.43154i | ||||
\(839\) | 41.3511 | + | 30.0433i | 1.42760 | + | 1.03721i | 0.990458 | + | 0.137817i | \(0.0440087\pi\) |
0.437140 | + | 0.899393i | \(0.355991\pi\) | |||||||
\(840\) | 72.6330 | − | 52.7710i | 2.50608 | − | 1.82077i | ||||
\(841\) | −8.88657 | + | 27.3500i | −0.306433 | + | 0.943105i | ||||
\(842\) | 7.40438 | − | 22.7883i | 0.255172 | − | 0.785338i | ||||
\(843\) | −48.8794 | + | 35.5130i | −1.68350 | + | 1.22313i | ||||
\(844\) | −9.47285 | − | 6.88243i | −0.326069 | − | 0.236903i | ||||
\(845\) | −0.598707 | − | 1.84263i | −0.0205962 | − | 0.0633885i | ||||
\(846\) | 96.2443 | 3.30895 | ||||||||
\(847\) | 38.0868 | + | 6.80696i | 1.30868 | + | 0.233890i | ||||
\(848\) | 32.4290 | 1.11362 | ||||||||
\(849\) | 1.80006 | + | 5.54000i | 0.0617778 | + | 0.190132i | ||||
\(850\) | −14.6915 | − | 10.6740i | −0.503913 | − | 0.366114i | ||||
\(851\) | 0.352976 | − | 0.256452i | 0.0120999 | − | 0.00879107i | ||||
\(852\) | 11.6862 | − | 35.9663i | 0.400362 | − | 1.23219i | ||||
\(853\) | −5.76673 | + | 17.7482i | −0.197449 | + | 0.607686i | 0.802490 | + | 0.596665i | \(0.203508\pi\) |
−0.999939 | + | 0.0110206i | \(0.996492\pi\) | |||||||
\(854\) | 54.1291 | − | 39.3271i | 1.85226 | − | 1.34575i | ||||
\(855\) | −33.6528 | − | 24.4502i | −1.15090 | − | 0.836180i | ||||
\(856\) | −1.25922 | − | 3.87549i | −0.0430394 | − | 0.132462i | ||||
\(857\) | 26.3249 | 0.899241 | 0.449621 | − | 0.893220i | \(-0.351559\pi\) | ||||
0.449621 | + | 0.893220i | \(0.351559\pi\) | |||||||
\(858\) | 8.21478 | − | 19.2905i | 0.280448 | − | 0.658567i | ||||
\(859\) | 52.8360 | 1.80274 | 0.901371 | − | 0.433048i | \(-0.142562\pi\) | ||||
0.901371 | + | 0.433048i | \(0.142562\pi\) | |||||||
\(860\) | −15.1546 | − | 46.6411i | −0.516768 | − | 1.59045i | ||||
\(861\) | −15.6327 | − | 11.3578i | −0.532760 | − | 0.387073i | ||||
\(862\) | −11.5290 | + | 8.37631i | −0.392679 | + | 0.285298i | ||||
\(863\) | 13.4412 | − | 41.3678i | 0.457544 | − | 1.40818i | −0.410578 | − | 0.911826i | \(-0.634673\pi\) |
0.868122 | − | 0.496351i | \(-0.165327\pi\) | |||||||
\(864\) | 0.381168 | − | 1.17312i | 0.0129676 | − | 0.0399102i | ||||
\(865\) | −2.56203 | + | 1.86142i | −0.0871116 | + | 0.0632903i | ||||
\(866\) | 24.4060 | + | 17.7320i | 0.829351 | + | 0.602559i | ||||
\(867\) | 14.1757 | + | 43.6284i | 0.481433 | + | 1.48170i | ||||
\(868\) | −100.769 | −3.42031 | ||||||||
\(869\) | 28.1353 | + | 2.49444i | 0.954424 | + | 0.0846180i | ||||
\(870\) | 6.03097 | 0.204469 | ||||||||
\(871\) | 2.27001 | + | 6.98637i | 0.0769164 | + | 0.236724i | ||||
\(872\) | −32.6395 | − | 23.7139i | −1.10531 | − | 0.803056i | ||||
\(873\) | −15.2752 | + | 11.0981i | −0.516988 | + | 0.375614i | ||||
\(874\) | −8.84799 | + | 27.2313i | −0.299288 | + | 0.921113i | ||||
\(875\) | 13.1536 | − | 40.4826i | 0.444672 | − | 1.36856i | ||||
\(876\) | 120.785 | − | 87.7554i | 4.08095 | − | 2.96498i | ||||
\(877\) | −23.1416 | − | 16.8134i | −0.781436 | − | 0.567747i | 0.123974 | − | 0.992286i | \(-0.460436\pi\) |
−0.905410 | + | 0.424539i | \(0.860436\pi\) | |||||||
\(878\) | 0.299580 | + | 0.922013i | 0.0101103 | + | 0.0311164i | ||||
\(879\) | −10.1234 | −0.341455 | ||||||||
\(880\) | 24.8644 | − | 14.9008i | 0.838180 | − | 0.502306i | ||||
\(881\) | −35.7795 | −1.20544 | −0.602720 | − | 0.797952i | \(-0.705917\pi\) | ||||
−0.602720 | + | 0.797952i | \(0.705917\pi\) | |||||||
\(882\) | 14.6110 | + | 44.9679i | 0.491977 | + | 1.51415i | ||||
\(883\) | 30.1278 | + | 21.8891i | 1.01388 | + | 0.736627i | 0.965019 | − | 0.262178i | \(-0.0844408\pi\) |
0.0488612 | + | 0.998806i | \(0.484441\pi\) | |||||||
\(884\) | 19.5186 | − | 14.1811i | 0.656482 | − | 0.476962i | ||||
\(885\) | −12.9320 | + | 39.8006i | −0.434704 | + | 1.33788i | ||||
\(886\) | 6.51124 | − | 20.0395i | 0.218750 | − | 0.673242i | ||||
\(887\) | 12.8612 | − | 9.34422i | 0.431838 | − | 0.313748i | −0.350546 | − | 0.936546i | \(-0.614004\pi\) |
0.782383 | + | 0.622797i | \(0.214004\pi\) | |||||||
\(888\) | 2.41008 | + | 1.75102i | 0.0808768 | + | 0.0587605i | ||||
\(889\) | −12.1525 | − | 37.4016i | −0.407583 | − | 1.25441i | ||||
\(890\) | −46.7751 | −1.56790 | ||||||||
\(891\) | −5.17428 | − | 22.5316i | −0.173345 | − | 0.754837i | ||||
\(892\) | −53.2498 | −1.78293 | ||||||||
\(893\) | −20.3267 | − | 62.5592i | −0.680208 | − | 2.09346i | ||||
\(894\) | −74.3528 | − | 54.0205i | −2.48673 | − | 1.80672i | ||||
\(895\) | −8.85092 | + | 6.43057i | −0.295854 | + | 0.214950i | ||||
\(896\) | −20.4315 | + | 62.8818i | −0.682570 | + | 2.10073i | ||||
\(897\) | 1.52817 | − | 4.70323i | 0.0510242 | − | 0.157036i | ||||
\(898\) | −37.0451 | + | 26.9149i | −1.23621 | + | 0.898160i | ||||
\(899\) | −2.79451 | − | 2.03033i | −0.0932022 | − | 0.0677153i | ||||
\(900\) | −5.61293 | − | 17.2748i | −0.187098 | − | 0.575827i | ||||
\(901\) | −42.4675 | −1.41480 | ||||||||
\(902\) | −13.2208 | − | 11.5196i | −0.440204 | − | 0.383562i | ||||
\(903\) | 55.8720 | 1.85930 | ||||||||
\(904\) | −1.28186 | − | 3.94515i | −0.0426339 | − | 0.131214i | ||||
\(905\) | −0.720700 | − | 0.523620i | −0.0239569 | − | 0.0174057i | ||||
\(906\) | 83.5821 | − | 60.7260i | 2.77683 | − | 2.01748i | ||||
\(907\) | 1.02403 | − | 3.15164i | 0.0340024 | − | 0.104649i | −0.932615 | − | 0.360873i | \(-0.882479\pi\) |
0.966617 | + | 0.256225i | \(0.0824787\pi\) | |||||||
\(908\) | 15.2928 | − | 47.0663i | 0.507509 | − | 1.56195i | ||||
\(909\) | −5.72503 | + | 4.15948i | −0.189887 | + | 0.137961i | ||||
\(910\) | 13.5986 | + | 9.87997i | 0.450789 | + | 0.327518i | ||||
\(911\) | 13.2108 | + | 40.6587i | 0.437694 | + | 1.34708i | 0.890301 | + | 0.455373i | \(0.150494\pi\) |
−0.452607 | + | 0.891710i | \(0.649506\pi\) | |||||||
\(912\) | −69.5570 | −2.30326 | ||||||||
\(913\) | 15.6735 | + | 13.6567i | 0.518717 | + | 0.451972i | ||||
\(914\) | −6.93378 | −0.229349 | ||||||||
\(915\) | 11.8338 | + | 36.4207i | 0.391213 | + | 1.20403i | ||||
\(916\) | 26.4113 | + | 19.1889i | 0.872652 | + | 0.634019i | ||||
\(917\) | 10.6546 | − | 7.74101i | 0.351845 | − | 0.255631i | ||||
\(918\) | −6.56337 | + | 20.2000i | −0.216623 | + | 0.666698i | ||||
\(919\) | 7.72921 | − | 23.7881i | 0.254963 | − | 0.784696i | −0.738874 | − | 0.673844i | \(-0.764642\pi\) |
0.993837 | − | 0.110852i | \(-0.0353580\pi\) | |||||||
\(920\) | 15.5465 | − | 11.2952i | 0.512553 | − | 0.372392i | ||||
\(921\) | −68.3039 | − | 49.6257i | −2.25069 | − | 1.63522i | ||||
\(922\) | 23.8863 | + | 73.5144i | 0.786653 | + | 2.42107i | ||||
\(923\) | 3.61296 | 0.118922 | ||||||||
\(924\) | 27.3295 | + | 119.007i | 0.899073 | + | 3.91505i | ||||
\(925\) | 0.281803 | 0.00926564 | ||||||||
\(926\) | −23.3567 | − | 71.8845i | −0.767549 | − | 2.36227i | ||||
\(927\) | −27.5719 | − | 20.0322i | −0.905580 | − | 0.657942i | ||||
\(928\) | 0.337106 | − | 0.244922i | 0.0110661 | − | 0.00803996i | ||||
\(929\) | 15.9385 | − | 49.0536i | 0.522924 | − | 1.60940i | −0.245460 | − | 0.969407i | \(-0.578939\pi\) |
0.768384 | − | 0.639989i | \(-0.221061\pi\) | |||||||
\(930\) | 26.5509 | − | 81.7152i | 0.870638 | − | 2.67955i | ||||
\(931\) | 26.1436 | − | 18.9944i | 0.856820 | − | 0.622516i | ||||
\(932\) | 16.2815 | + | 11.8292i | 0.533320 | + | 0.387479i | ||||
\(933\) | 17.5481 | + | 54.0075i | 0.574499 | + | 1.76813i | ||||
\(934\) | 28.7665 | 0.941268 | ||||||||
\(935\) | −32.5613 | + | 19.5134i | −1.06487 | + | 0.638156i | ||||
\(936\) | 18.3446 | 0.599610 | ||||||||
\(937\) | −9.67018 | − | 29.7617i | −0.315911 | − | 0.972274i | −0.975378 | − | 0.220540i | \(-0.929218\pi\) |
0.659467 | − | 0.751734i | \(-0.270782\pi\) | |||||||
\(938\) | −51.5594 | − | 37.4601i | −1.68347 | − | 1.22311i | ||||
\(939\) | −45.5934 | + | 33.1256i | −1.48789 | + | 1.08101i | ||||
\(940\) | −26.7342 | + | 82.2795i | −0.871974 | + | 2.68366i | ||||
\(941\) | −0.407177 | + | 1.25316i | −0.0132736 | + | 0.0408519i | −0.957474 | − | 0.288520i | \(-0.906837\pi\) |
0.944200 | + | 0.329372i | \(0.106837\pi\) | |||||||
\(942\) | 21.7772 | − | 15.8221i | 0.709541 | − | 0.515511i | ||||
\(943\) | −3.34605 | − | 2.43105i | −0.108962 | − | 0.0791658i | ||||
\(944\) | 11.7483 | + | 36.1575i | 0.382374 | + | 1.17683i | ||||
\(945\) | −9.93314 | −0.323125 | ||||||||
\(946\) | 50.5051 | + | 4.47771i | 1.64206 | + | 0.145583i | ||||
\(947\) | 22.8334 | 0.741985 | 0.370992 | − | 0.928636i | \(-0.379018\pi\) | ||||
0.370992 | + | 0.928636i | \(0.379018\pi\) | |||||||
\(948\) | 27.5464 | + | 84.7790i | 0.894664 | + | 2.75349i | ||||
\(949\) | 11.5395 | + | 8.38392i | 0.374587 | + | 0.272154i | ||||
\(950\) | −14.9616 | + | 10.8702i | −0.485419 | + | 0.352677i | ||||
\(951\) | −1.46441 | + | 4.50698i | −0.0474866 | + | 0.146149i | ||||
\(952\) | −33.0058 | + | 101.581i | −1.06973 | + | 3.29228i | ||||
\(953\) | −6.26259 | + | 4.55003i | −0.202865 | + | 0.147390i | −0.684580 | − | 0.728938i | \(-0.740014\pi\) |
0.481715 | + | 0.876328i | \(0.340014\pi\) | |||||||
\(954\) | −51.1938 | − | 37.1945i | −1.65746 | − | 1.20422i | ||||
\(955\) | 4.56629 | + | 14.0536i | 0.147762 | + | 0.454763i | ||||
\(956\) | 76.8180 | 2.48447 | ||||||||
\(957\) | −1.63991 | + | 3.85095i | −0.0530108 | + | 0.124484i | ||||
\(958\) | −68.8838 | −2.22553 | ||||||||
\(959\) | 3.97333 | + | 12.2286i | 0.128305 | + | 0.394883i | ||||
\(960\) | −27.8593 | − | 20.2409i | −0.899154 | − | 0.653274i | ||||
\(961\) | −14.7326 | + | 10.7039i | −0.475245 | + | 0.345286i | ||||
\(962\) | −0.172352 | + | 0.530444i | −0.00555684 | + | 0.0171022i | ||||
\(963\) | −0.874224 | + | 2.69058i | −0.0281715 | + | 0.0867029i | ||||
\(964\) | −48.5799 | + | 35.2954i | −1.56465 | + | 1.13679i | ||||
\(965\) | 16.3338 | + | 11.8672i | 0.525805 | + | 0.382020i | ||||
\(966\) | 13.2580 | + | 40.8038i | 0.426568 | + | 1.31284i | ||||
\(967\) | −19.8903 | −0.639630 | −0.319815 | − | 0.947480i | \(-0.603621\pi\) | ||||
−0.319815 | + | 0.947480i | \(0.603621\pi\) | |||||||
\(968\) | 7.73936 | + | 56.0118i | 0.248753 | + | 1.80029i | ||||
\(969\) | 91.0886 | 2.92619 | ||||||||
\(970\) | −7.81315 | − | 24.0464i | −0.250865 | − | 0.772084i | ||||
\(971\) | −11.0555 | − | 8.03229i | −0.354788 | − | 0.257769i | 0.396087 | − | 0.918213i | \(-0.370368\pi\) |
−0.750875 | + | 0.660444i | \(0.770368\pi\) | |||||||
\(972\) | 73.4737 | − | 53.3817i | 2.35667 | − | 1.71222i | ||||
\(973\) | −24.0785 | + | 74.1060i | −0.771921 | + | 2.37573i | ||||
\(974\) | 12.2009 | − | 37.5505i | 0.390941 | − | 1.20319i | ||||
\(975\) | 2.58408 | − | 1.87744i | 0.0827568 | − | 0.0601263i | ||||
\(976\) | 28.1454 | + | 20.4489i | 0.900913 | + | 0.654552i | ||||
\(977\) | 12.0458 | + | 37.0731i | 0.385378 | + | 1.18607i | 0.936206 | + | 0.351453i | \(0.114312\pi\) |
−0.550827 | + | 0.834619i | \(0.685688\pi\) | |||||||
\(978\) | 16.0483 | 0.513169 | ||||||||
\(979\) | 12.7188 | − | 29.8673i | 0.406496 | − | 0.954562i | ||||
\(980\) | −42.5018 | −1.35767 | ||||||||
\(981\) | 8.65540 | + | 26.6386i | 0.276346 | + | 0.850505i | ||||
\(982\) | 56.1196 | + | 40.7733i | 1.79085 | + | 1.30113i | ||||
\(983\) | −22.2966 | + | 16.1994i | −0.711152 | + | 0.516682i | −0.883545 | − | 0.468346i | \(-0.844850\pi\) |
0.172393 | + | 0.985028i | \(0.444850\pi\) | |||||||
\(984\) | 8.72654 | − | 26.8575i | 0.278192 | − | 0.856186i | ||||
\(985\) | 3.44869 | − | 10.6140i | 0.109885 | − | 0.338190i | ||||
\(986\) | −5.80466 | + | 4.21733i | −0.184858 | + | 0.134307i | ||||
\(987\) | −79.7397 | − | 57.9343i | −2.53814 | − | 1.84407i | ||||
\(988\) | −7.59254 | − | 23.3674i | −0.241551 | − | 0.743417i | ||||
\(989\) | 11.9590 | 0.380273 | ||||||||
\(990\) | −56.3426 | − | 4.99526i | −1.79068 | − | 0.158760i | ||||
\(991\) | 39.9148 | 1.26794 | 0.633968 | − | 0.773359i | \(-0.281425\pi\) | ||||
0.633968 | + | 0.773359i | \(0.281425\pi\) | |||||||
\(992\) | −1.83443 | − | 5.64580i | −0.0582432 | − | 0.179254i | ||||
\(993\) | 55.2410 | + | 40.1349i | 1.75302 | + | 1.27364i | ||||
\(994\) | −25.3586 | + | 18.4241i | −0.804326 | + | 0.584377i | ||||
\(995\) | 9.98319 | − | 30.7251i | 0.316489 | − | 0.974052i | ||||
\(996\) | −20.2739 | + | 62.3967i | −0.642403 | + | 1.97711i | ||||
\(997\) | −49.2233 | + | 35.7628i | −1.55892 | + | 1.13262i | −0.622028 | + | 0.782995i | \(0.713691\pi\) |
−0.936890 | + | 0.349625i | \(0.886309\pi\) | |||||||
\(998\) | 5.33043 | + | 3.87278i | 0.168732 | + | 0.122591i | ||||
\(999\) | −0.101851 | − | 0.313465i | −0.00322243 | − | 0.00991761i |
(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 | 143.2.h.c.27.7 | ✓ | 28 | |
11.3 | even | 5 | 1573.2.a.s.1.13 | 14 | |||
11.8 | odd | 10 | 1573.2.a.r.1.2 | 14 | |||
11.9 | even | 5 | inner | 143.2.h.c.53.7 | yes | 28 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
143.2.h.c.27.7 | ✓ | 28 | 1.1 | even | 1 | trivial | |
143.2.h.c.53.7 | yes | 28 | 11.9 | even | 5 | inner | |
1573.2.a.r.1.2 | 14 | 11.8 | odd | 10 | |||
1573.2.a.s.1.13 | 14 | 11.3 | even | 5 |