Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [637,2,Mod(53,637)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(637, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([10, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("637.53");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 637 = 7^{2} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 637.bl (of order \(21\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.08647060876\) |
Analytic rank: | \(0\) |
Dimension: | \(324\) |
Relative dimension: | \(27\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 53.11 | ||
Character | \(\chi\) | \(=\) | 637.53 |
Dual form | 637.2.bl.a.625.11 |
$q$-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 \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(248\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{21}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.639784 | − | 0.436198i | −0.452396 | − | 0.308438i | 0.315601 | − | 0.948892i | \(-0.397794\pi\) |
−0.767997 | + | 0.640454i | \(0.778746\pi\) | |||||||
\(3\) | 1.84518 | + | 1.71208i | 1.06532 | + | 0.988470i | 0.999956 | − | 0.00939205i | \(-0.00298963\pi\) |
0.0653610 | + | 0.997862i | \(0.479180\pi\) | |||||||
\(4\) | −0.511626 | − | 1.30360i | −0.255813 | − | 0.651801i | ||||
\(5\) | −1.40912 | + | 0.434655i | −0.630176 | + | 0.194383i | −0.593358 | − | 0.804939i | \(-0.702198\pi\) |
−0.0368175 | + | 0.999322i | \(0.511722\pi\) | |||||||
\(6\) | −0.433714 | − | 1.90023i | −0.177063 | − | 0.775764i | ||||
\(7\) | −2.31520 | + | 1.28057i | −0.875063 | + | 0.484009i | ||||
\(8\) | −0.585909 | + | 2.56703i | −0.207150 | + | 0.907583i | ||||
\(9\) | 0.249293 | + | 3.32659i | 0.0830978 | + | 1.10886i | ||||
\(10\) | 1.09113 | + | 0.336568i | 0.345044 | + | 0.106432i | ||||
\(11\) | 0.0220810 | − | 0.294650i | 0.00665766 | − | 0.0888403i | −0.992885 | − | 0.119076i | \(-0.962007\pi\) |
0.999543 | + | 0.0302358i | \(0.00962581\pi\) | |||||||
\(12\) | 1.28783 | − | 3.28133i | 0.371764 | − | 0.947238i | ||||
\(13\) | 0.900969 | − | 0.433884i | 0.249884 | − | 0.120338i | ||||
\(14\) | 2.03981 | + | 0.190598i | 0.545162 | + | 0.0509396i | ||||
\(15\) | −3.34424 | − | 1.61050i | −0.863479 | − | 0.415830i | ||||
\(16\) | −0.558553 | + | 0.518262i | −0.139638 | + | 0.129565i | ||||
\(17\) | −3.39451 | + | 0.511640i | −0.823290 | + | 0.124091i | −0.547158 | − | 0.837029i | \(-0.684290\pi\) |
−0.276131 | + | 0.961120i | \(0.589052\pi\) | |||||||
\(18\) | 1.29156 | − | 2.23704i | 0.304423 | − | 0.527276i | ||||
\(19\) | 2.26235 | + | 3.91851i | 0.519019 | + | 0.898967i | 0.999756 | + | 0.0221020i | \(0.00703587\pi\) |
−0.480737 | + | 0.876865i | \(0.659631\pi\) | |||||||
\(20\) | 1.28756 | + | 1.61455i | 0.287907 | + | 0.361023i | ||||
\(21\) | −6.46440 | − | 1.60093i | −1.41065 | − | 0.349351i | ||||
\(22\) | −0.142653 | + | 0.178881i | −0.0304137 | + | 0.0381375i | ||||
\(23\) | −8.53426 | − | 1.28633i | −1.77952 | − | 0.268219i | −0.824733 | − | 0.565522i | \(-0.808675\pi\) |
−0.954783 | + | 0.297303i | \(0.903913\pi\) | |||||||
\(24\) | −5.47607 | + | 3.73352i | −1.11780 | + | 0.762103i | ||||
\(25\) | −2.33451 | + | 1.59164i | −0.466902 | + | 0.318329i | ||||
\(26\) | −0.765685 | − | 0.115408i | −0.150163 | − | 0.0226335i | ||||
\(27\) | −0.527189 | + | 0.661074i | −0.101458 | + | 0.127224i | ||||
\(28\) | 2.85387 | + | 2.36293i | 0.539330 | + | 0.446552i | ||||
\(29\) | −1.44222 | − | 1.80848i | −0.267813 | − | 0.335826i | 0.629681 | − | 0.776854i | \(-0.283186\pi\) |
−0.897494 | + | 0.441027i | \(0.854614\pi\) | |||||||
\(30\) | 1.43710 | + | 2.48912i | 0.262377 | + | 0.454450i | ||||
\(31\) | −5.10610 | + | 8.84402i | −0.917082 | + | 1.58843i | −0.113258 | + | 0.993566i | \(0.536129\pi\) |
−0.803824 | + | 0.594867i | \(0.797205\pi\) | |||||||
\(32\) | 5.79070 | − | 0.872808i | 1.02366 | − | 0.154292i | ||||
\(33\) | 0.545208 | − | 0.505879i | 0.0949085 | − | 0.0880622i | ||||
\(34\) | 2.39493 | + | 1.15334i | 0.410727 | + | 0.197796i | ||||
\(35\) | 2.70578 | − | 2.81078i | 0.457360 | − | 0.475108i | ||||
\(36\) | 4.20900 | − | 2.02695i | 0.701501 | − | 0.337825i | ||||
\(37\) | −3.34059 | + | 8.51169i | −0.549190 | + | 1.39931i | 0.339413 | + | 0.940637i | \(0.389771\pi\) |
−0.888603 | + | 0.458676i | \(0.848324\pi\) | |||||||
\(38\) | 0.261826 | − | 3.49383i | 0.0424739 | − | 0.566774i | ||||
\(39\) | 2.40530 | + | 0.741936i | 0.385156 | + | 0.118805i | ||||
\(40\) | −0.290160 | − | 3.87192i | −0.0458783 | − | 0.612204i | ||||
\(41\) | 0.134834 | − | 0.590747i | 0.0210575 | − | 0.0922591i | −0.963307 | − | 0.268401i | \(-0.913505\pi\) |
0.984365 | + | 0.176142i | \(0.0563618\pi\) | |||||||
\(42\) | 3.43750 | + | 3.84400i | 0.530418 | + | 0.593143i | ||||
\(43\) | −2.30617 | − | 10.1040i | −0.351688 | − | 1.54085i | −0.773282 | − | 0.634062i | \(-0.781386\pi\) |
0.421594 | − | 0.906785i | \(-0.361471\pi\) | |||||||
\(44\) | −0.395404 | + | 0.121966i | −0.0596094 | + | 0.0183871i | ||||
\(45\) | −1.79720 | − | 4.57919i | −0.267911 | − | 0.682626i | ||||
\(46\) | 4.89899 | + | 4.54560i | 0.722317 | + | 0.670212i | ||||
\(47\) | 9.14696 | + | 6.23629i | 1.33422 | + | 0.909656i | 0.999467 | − | 0.0326492i | \(-0.0103944\pi\) |
0.334754 | + | 0.942306i | \(0.391347\pi\) | |||||||
\(48\) | −1.91794 | −0.276831 | ||||||||
\(49\) | 3.72030 | − | 5.92953i | 0.531472 | − | 0.847076i | ||||
\(50\) | 2.18785 | 0.309409 | ||||||||
\(51\) | −7.13946 | − | 4.86760i | −0.999724 | − | 0.681601i | ||||
\(52\) | −1.02657 | − | 0.952519i | −0.142360 | − | 0.132091i | ||||
\(53\) | −0.294123 | − | 0.749414i | −0.0404009 | − | 0.102940i | 0.909249 | − | 0.416252i | \(-0.136657\pi\) |
−0.949650 | + | 0.313312i | \(0.898561\pi\) | |||||||
\(54\) | 0.625646 | − | 0.192986i | 0.0851396 | − | 0.0262621i | ||||
\(55\) | 0.0969564 | + | 0.424794i | 0.0130736 | + | 0.0572792i | ||||
\(56\) | −1.93076 | − | 6.69349i | −0.258009 | − | 0.894455i | ||||
\(57\) | −2.53434 | + | 11.1037i | −0.335682 | + | 1.47072i | ||||
\(58\) | 0.133852 | + | 1.78613i | 0.0175756 | + | 0.234530i | ||||
\(59\) | −0.771937 | − | 0.238111i | −0.100498 | − | 0.0309994i | 0.244099 | − | 0.969750i | \(-0.421508\pi\) |
−0.344596 | + | 0.938751i | \(0.611984\pi\) | |||||||
\(60\) | −0.388452 | + | 5.18353i | −0.0501490 | + | 0.669191i | ||||
\(61\) | −0.927664 | + | 2.36365i | −0.118775 | + | 0.302634i | −0.977880 | − | 0.209165i | \(-0.932925\pi\) |
0.859105 | + | 0.511799i | \(0.171021\pi\) | |||||||
\(62\) | 7.12454 | − | 3.43100i | 0.904818 | − | 0.435737i | ||||
\(63\) | −4.83708 | − | 7.38248i | −0.609415 | − | 0.930105i | ||||
\(64\) | −2.71252 | − | 1.30628i | −0.339065 | − | 0.163285i | ||||
\(65\) | −1.08098 | + | 1.00300i | −0.134079 | + | 0.124407i | ||||
\(66\) | −0.569479 | + | 0.0858351i | −0.0700980 | + | 0.0105656i | ||||
\(67\) | 1.59956 | − | 2.77052i | 0.195417 | − | 0.338473i | −0.751620 | − | 0.659596i | \(-0.770727\pi\) |
0.947037 | + | 0.321124i | \(0.104061\pi\) | |||||||
\(68\) | 2.40370 | + | 4.16332i | 0.291491 | + | 0.504877i | ||||
\(69\) | −13.5450 | − | 16.9849i | −1.63062 | − | 2.04474i | ||||
\(70\) | −2.95717 | + | 0.618037i | −0.353450 | + | 0.0738696i | ||||
\(71\) | 2.24343 | − | 2.81317i | 0.266246 | − | 0.333862i | −0.630680 | − | 0.776043i | \(-0.717224\pi\) |
0.896926 | + | 0.442182i | \(0.145795\pi\) | |||||||
\(72\) | −8.68553 | − | 1.30913i | −1.02360 | − | 0.154283i | ||||
\(73\) | 1.37433 | − | 0.937005i | 0.160854 | − | 0.109668i | −0.480218 | − | 0.877149i | \(-0.659442\pi\) |
0.641072 | + | 0.767481i | \(0.278490\pi\) | |||||||
\(74\) | 5.85004 | − | 3.98849i | 0.680053 | − | 0.463653i | ||||
\(75\) | −7.03262 | − | 1.06000i | −0.812057 | − | 0.122398i | ||||
\(76\) | 3.95070 | − | 4.95402i | 0.453176 | − | 0.568265i | ||||
\(77\) | 0.326197 | + | 0.710450i | 0.0371736 | + | 0.0809633i | ||||
\(78\) | −1.21524 | − | 1.52386i | −0.137599 | − | 0.172544i | ||||
\(79\) | 8.21958 | + | 14.2367i | 0.924775 | + | 1.60176i | 0.791923 | + | 0.610621i | \(0.209080\pi\) |
0.132852 | + | 0.991136i | \(0.457586\pi\) | |||||||
\(80\) | 0.561801 | − | 0.973068i | 0.0628113 | − | 0.108792i | ||||
\(81\) | 7.79140 | − | 1.17436i | 0.865711 | − | 0.130485i | ||||
\(82\) | −0.343947 | + | 0.319136i | −0.0379826 | + | 0.0352427i | ||||
\(83\) | −9.61895 | − | 4.63224i | −1.05582 | − | 0.508455i | −0.176307 | − | 0.984335i | \(-0.556415\pi\) |
−0.879510 | + | 0.475880i | \(0.842129\pi\) | |||||||
\(84\) | 1.22038 | + | 9.24608i | 0.133155 | + | 1.00883i | ||||
\(85\) | 4.56087 | − | 2.19640i | 0.494696 | − | 0.238233i | ||||
\(86\) | −2.93189 | + | 7.47033i | −0.316154 | + | 0.805547i | ||||
\(87\) | 0.435112 | − | 5.80617i | 0.0466489 | − | 0.622486i | ||||
\(88\) | 0.743439 | + | 0.229321i | 0.0792509 | + | 0.0244457i | ||||
\(89\) | −0.742744 | − | 9.91123i | −0.0787307 | − | 1.05059i | −0.886998 | − | 0.461773i | \(-0.847213\pi\) |
0.808267 | − | 0.588816i | \(-0.200406\pi\) | |||||||
\(90\) | −0.847612 | + | 3.71363i | −0.0893462 | + | 0.391451i | ||||
\(91\) | −1.53031 | + | 2.15828i | −0.160420 | + | 0.226249i | ||||
\(92\) | 2.68949 | + | 11.7834i | 0.280398 | + | 1.22850i | ||||
\(93\) | −24.5633 | + | 7.57679i | −2.54710 | + | 0.785676i | ||||
\(94\) | −3.13183 | − | 7.97976i | −0.323023 | − | 0.823050i | ||||
\(95\) | −4.89111 | − | 4.53829i | −0.501817 | − | 0.465618i | ||||
\(96\) | 12.1792 | + | 8.30365i | 1.24304 | + | 0.847488i | ||||
\(97\) | 10.6227 | 1.07857 | 0.539284 | − | 0.842124i | \(-0.318695\pi\) | ||||
0.539284 | + | 0.842124i | \(0.318695\pi\) | |||||||
\(98\) | −4.96664 | + | 2.17084i | −0.501706 | + | 0.219288i | ||||
\(99\) | 0.985684 | 0.0990650 | ||||||||
\(100\) | 3.26927 | + | 2.22895i | 0.326927 | + | 0.222895i | ||||
\(101\) | 5.47274 | + | 5.07796i | 0.544558 | + | 0.505276i | 0.903792 | − | 0.427972i | \(-0.140772\pi\) |
−0.359234 | + | 0.933247i | \(0.616962\pi\) | |||||||
\(102\) | 2.44448 | + | 6.22843i | 0.242040 | + | 0.616707i | ||||
\(103\) | 7.84318 | − | 2.41930i | 0.772811 | − | 0.238381i | 0.116824 | − | 0.993153i | \(-0.462729\pi\) |
0.655987 | + | 0.754772i | \(0.272253\pi\) | |||||||
\(104\) | 0.585909 | + | 2.56703i | 0.0574531 | + | 0.251718i | ||||
\(105\) | 9.80494 | − | 0.553889i | 0.956864 | − | 0.0540540i | ||||
\(106\) | −0.138717 | + | 0.607759i | −0.0134734 | + | 0.0590308i | ||||
\(107\) | 1.29879 | + | 17.3312i | 0.125559 | + | 1.67547i | 0.603721 | + | 0.797196i | \(0.293684\pi\) |
−0.478162 | + | 0.878272i | \(0.658697\pi\) | |||||||
\(108\) | 1.13150 | + | 0.349022i | 0.108879 | + | 0.0335846i | ||||
\(109\) | −1.31621 | + | 17.5636i | −0.126070 | + | 1.68229i | 0.472590 | + | 0.881283i | \(0.343319\pi\) |
−0.598660 | + | 0.801004i | \(0.704300\pi\) | |||||||
\(110\) | 0.123263 | − | 0.314068i | 0.0117526 | − | 0.0299453i | ||||
\(111\) | −20.7367 | + | 9.98627i | −1.96824 | + | 0.947855i | ||||
\(112\) | 0.629494 | − | 1.91514i | 0.0594816 | − | 0.180964i | ||||
\(113\) | −9.68650 | − | 4.66477i | −0.911230 | − | 0.438825i | −0.0812978 | − | 0.996690i | \(-0.525906\pi\) |
−0.829932 | + | 0.557865i | \(0.811621\pi\) | |||||||
\(114\) | 6.46483 | − | 5.99849i | 0.605487 | − | 0.561810i | ||||
\(115\) | 12.5849 | − | 1.89686i | 1.17355 | − | 0.176883i | ||||
\(116\) | −1.61966 | + | 2.80534i | −0.150382 | + | 0.260469i | ||||
\(117\) | 1.66796 | + | 2.88899i | 0.154203 | + | 0.267087i | ||||
\(118\) | 0.390010 | + | 0.489057i | 0.0359033 | + | 0.0450213i | ||||
\(119\) | 7.20378 | − | 5.53144i | 0.660369 | − | 0.507067i | ||||
\(120\) | 6.09363 | − | 7.64117i | 0.556270 | − | 0.697540i | ||||
\(121\) | 10.7908 | + | 1.62645i | 0.980983 | + | 0.147859i | ||||
\(122\) | 1.62452 | − | 1.10758i | 0.147077 | − | 0.100276i | ||||
\(123\) | 1.26020 | − | 0.859189i | 0.113628 | − | 0.0774705i | ||||
\(124\) | 14.1415 | + | 2.13149i | 1.26994 | + | 0.191413i | ||||
\(125\) | 7.19486 | − | 9.02207i | 0.643528 | − | 0.806959i | ||||
\(126\) | −0.125532 | + | 6.83312i | −0.0111833 | + | 0.608743i | ||||
\(127\) | 1.86999 | + | 2.34489i | 0.165934 | + | 0.208075i | 0.857846 | − | 0.513907i | \(-0.171802\pi\) |
−0.691911 | + | 0.721983i | \(0.743231\pi\) | |||||||
\(128\) | −4.69048 | − | 8.12414i | −0.414583 | − | 0.718080i | ||||
\(129\) | 13.0436 | − | 22.5921i | 1.14842 | − | 1.98912i | ||||
\(130\) | 1.12910 | − | 0.170185i | 0.0990288 | − | 0.0149262i | ||||
\(131\) | 5.05808 | − | 4.69321i | 0.441926 | − | 0.410048i | −0.427574 | − | 0.903980i | \(-0.640632\pi\) |
0.869500 | + | 0.493933i | \(0.164441\pi\) | |||||||
\(132\) | −0.938408 | − | 0.451913i | −0.0816779 | − | 0.0393340i | ||||
\(133\) | −10.2557 | − | 6.17503i | −0.889282 | − | 0.535443i | ||||
\(134\) | −2.23187 | + | 1.07481i | −0.192804 | + | 0.0928495i | ||||
\(135\) | 0.455531 | − | 1.16067i | 0.0392059 | − | 0.0998949i | ||||
\(136\) | 0.675476 | − | 9.01360i | 0.0579216 | − | 0.772909i | ||||
\(137\) | −15.6664 | − | 4.83245i | −1.33847 | − | 0.412864i | −0.458841 | − | 0.888519i | \(-0.651735\pi\) |
−0.879632 | + | 0.475654i | \(0.842211\pi\) | |||||||
\(138\) | 1.25711 | + | 16.7749i | 0.107012 | + | 1.42798i | ||||
\(139\) | 1.47888 | − | 6.47941i | 0.125437 | − | 0.549576i | −0.872683 | − | 0.488287i | \(-0.837622\pi\) |
0.998120 | − | 0.0612888i | \(-0.0195211\pi\) | |||||||
\(140\) | −5.04849 | − | 2.08919i | −0.426675 | − | 0.176569i | ||||
\(141\) | 6.20079 | + | 27.1674i | 0.522200 | + | 2.28791i | ||||
\(142\) | −2.66241 | + | 0.821244i | −0.223424 | + | 0.0689172i | ||||
\(143\) | −0.107950 | − | 0.275051i | −0.00902720 | − | 0.0230009i | ||||
\(144\) | −1.86329 | − | 1.72888i | −0.155274 | − | 0.144073i | ||||
\(145\) | 2.81831 | + | 1.92149i | 0.234048 | + | 0.159571i | ||||
\(146\) | −1.28800 | −0.106595 | ||||||||
\(147\) | 17.0165 | − | 4.57162i | 1.40349 | − | 0.377061i | ||||
\(148\) | 12.8050 | 1.05256 | ||||||||
\(149\) | −11.7994 | − | 8.04469i | −0.966644 | − | 0.659047i | −0.0264370 | − | 0.999650i | \(-0.508416\pi\) |
−0.940207 | + | 0.340604i | \(0.889369\pi\) | |||||||
\(150\) | 4.03699 | + | 3.74578i | 0.329619 | + | 0.305842i | ||||
\(151\) | −1.60188 | − | 4.08152i | −0.130359 | − | 0.332149i | 0.850760 | − | 0.525554i | \(-0.176142\pi\) |
−0.981119 | + | 0.193405i | \(0.938047\pi\) | |||||||
\(152\) | −11.3845 | + | 3.51164i | −0.923402 | + | 0.284832i | ||||
\(153\) | −2.54824 | − | 11.1646i | −0.206013 | − | 0.902604i | ||||
\(154\) | 0.101201 | − | 0.596821i | 0.00815499 | − | 0.0480932i | ||||
\(155\) | 3.35099 | − | 14.6816i | 0.269158 | − | 1.17926i | ||||
\(156\) | −0.263424 | − | 3.51514i | −0.0210908 | − | 0.281437i | ||||
\(157\) | −10.6331 | − | 3.27988i | −0.848614 | − | 0.261763i | −0.160203 | − | 0.987084i | \(-0.551215\pi\) |
−0.688411 | + | 0.725321i | \(0.741691\pi\) | |||||||
\(158\) | 0.951269 | − | 12.6938i | 0.0756789 | − | 1.00986i | ||||
\(159\) | 0.740345 | − | 1.88637i | 0.0587132 | − | 0.149599i | ||||
\(160\) | −7.78040 | + | 3.74684i | −0.615094 | + | 0.296214i | ||||
\(161\) | 21.4058 | − | 7.95057i | 1.68701 | − | 0.626592i | ||||
\(162\) | −5.49707 | − | 2.64725i | −0.431891 | − | 0.207988i | ||||
\(163\) | 3.53115 | − | 3.27643i | 0.276581 | − | 0.256630i | −0.529669 | − | 0.848204i | \(-0.677684\pi\) |
0.806250 | + | 0.591574i | \(0.201493\pi\) | |||||||
\(164\) | −0.839084 | + | 0.126472i | −0.0655214 | + | 0.00987577i | ||||
\(165\) | −0.548378 | + | 0.949819i | −0.0426912 | + | 0.0739433i | ||||
\(166\) | 4.13348 | + | 7.15940i | 0.320820 | + | 0.555677i | ||||
\(167\) | −1.42607 | − | 1.78824i | −0.110353 | − | 0.138378i | 0.723588 | − | 0.690233i | \(-0.242492\pi\) |
−0.833940 | + | 0.551855i | \(0.813920\pi\) | |||||||
\(168\) | 7.89718 | − | 15.6563i | 0.609281 | − | 1.20791i | ||||
\(169\) | 0.623490 | − | 0.781831i | 0.0479608 | − | 0.0601409i | ||||
\(170\) | −3.87604 | − | 0.584219i | −0.297279 | − | 0.0448075i | ||||
\(171\) | −12.4713 | + | 8.50277i | −0.953702 | + | 0.650223i | ||||
\(172\) | −11.9917 | + | 8.17581i | −0.914359 | + | 0.623400i | ||||
\(173\) | −23.3194 | − | 3.51484i | −1.77294 | − | 0.267228i | −0.820434 | − | 0.571741i | \(-0.806268\pi\) |
−0.952508 | + | 0.304513i | \(0.901506\pi\) | |||||||
\(174\) | −2.81101 | + | 3.52490i | −0.213102 | + | 0.267222i | ||||
\(175\) | 3.36666 | − | 6.67447i | 0.254495 | − | 0.504542i | ||||
\(176\) | 0.140372 | + | 0.176021i | 0.0105810 | + | 0.0132681i | ||||
\(177\) | −1.01670 | − | 1.76097i | −0.0764198 | − | 0.132363i | ||||
\(178\) | −3.84806 | + | 6.66504i | −0.288424 | + | 0.499566i | ||||
\(179\) | 13.0466 | − | 1.96646i | 0.975151 | − | 0.146980i | 0.357911 | − | 0.933756i | \(-0.383489\pi\) |
0.617240 | + | 0.786775i | \(0.288251\pi\) | |||||||
\(180\) | −5.04995 | + | 4.68567i | −0.376401 | + | 0.349249i | ||||
\(181\) | 0.466745 | + | 0.224773i | 0.0346929 | + | 0.0167072i | 0.451150 | − | 0.892448i | \(-0.351014\pi\) |
−0.416457 | + | 0.909155i | \(0.636728\pi\) | |||||||
\(182\) | 1.92050 | − | 0.713317i | 0.142357 | − | 0.0528745i | ||||
\(183\) | −5.75846 | + | 2.77313i | −0.425678 | + | 0.204996i | ||||
\(184\) | 8.30236 | − | 21.1541i | 0.612058 | − | 1.55950i | ||||
\(185\) | 1.00764 | − | 13.4460i | 0.0740829 | − | 0.988567i | ||||
\(186\) | 19.0202 | + | 5.86696i | 1.39463 | + | 0.430187i | ||||
\(187\) | 0.0758007 | + | 1.01149i | 0.00554310 | + | 0.0739675i | ||||
\(188\) | 3.44982 | − | 15.1146i | 0.251604 | − | 1.10235i | ||||
\(189\) | 0.373999 | − | 2.20562i | 0.0272044 | − | 0.160435i | ||||
\(190\) | 1.14967 | + | 5.03702i | 0.0834055 | + | 0.365424i | ||||
\(191\) | 18.9274 | − | 5.83834i | 1.36954 | − | 0.422447i | 0.479186 | − | 0.877714i | \(-0.340932\pi\) |
0.890355 | + | 0.455266i | \(0.150456\pi\) | |||||||
\(192\) | −2.76864 | − | 7.05438i | −0.199809 | − | 0.509106i | ||||
\(193\) | 13.8607 | + | 12.8609i | 0.997718 | + | 0.925747i | 0.997239 | − | 0.0742526i | \(-0.0236571\pi\) |
0.000478820 | 1.00000i | \(0.499848\pi\) | ||||||||
\(194\) | −6.79622 | − | 4.63358i | −0.487940 | − | 0.332672i | ||||
\(195\) | −3.71183 | −0.265809 | ||||||||
\(196\) | −9.63316 | − | 1.81609i | −0.688083 | − | 0.129721i | ||||
\(197\) | −3.94208 | −0.280861 | −0.140431 | − | 0.990091i | \(-0.544849\pi\) | ||||
−0.140431 | + | 0.990091i | \(0.544849\pi\) | |||||||
\(198\) | −0.630625 | − | 0.429953i | −0.0448166 | − | 0.0305554i | ||||
\(199\) | 15.9305 | + | 14.7813i | 1.12928 | + | 1.04782i | 0.998407 | + | 0.0564211i | \(0.0179689\pi\) |
0.130874 | + | 0.991399i | \(0.458222\pi\) | |||||||
\(200\) | −2.71799 | − | 6.92533i | −0.192191 | − | 0.489695i | ||||
\(201\) | 7.69483 | − | 2.37354i | 0.542751 | − | 0.167417i | ||||
\(202\) | −1.28638 | − | 5.63600i | −0.0905093 | − | 0.396547i | ||||
\(203\) | 5.65490 | + | 2.34014i | 0.396896 | + | 0.164246i | ||||
\(204\) | −2.69268 | + | 11.7974i | −0.188525 | + | 0.825984i | ||||
\(205\) | 0.0667740 | + | 0.891037i | 0.00466370 | + | 0.0622327i | ||||
\(206\) | −6.07323 | − | 1.87334i | −0.423142 | − | 0.130522i | ||||
\(207\) | 2.15157 | − | 28.7106i | 0.149544 | − | 1.99553i | ||||
\(208\) | −0.278374 | + | 0.709285i | −0.0193017 | + | 0.0491801i | ||||
\(209\) | 1.20454 | − | 0.580077i | 0.0833200 | − | 0.0401248i | ||||
\(210\) | −6.51465 | − | 3.92252i | −0.449554 | − | 0.270680i | ||||
\(211\) | 9.12505 | + | 4.39439i | 0.628195 | + | 0.302523i | 0.720761 | − | 0.693184i | \(-0.243793\pi\) |
−0.0925661 | + | 0.995707i | \(0.529507\pi\) | |||||||
\(212\) | −0.826457 | + | 0.766840i | −0.0567613 | + | 0.0526668i | ||||
\(213\) | 8.95590 | − | 1.34988i | 0.613648 | − | 0.0924926i | ||||
\(214\) | 6.72887 | − | 11.6547i | 0.459976 | − | 0.796702i | ||||
\(215\) | 7.64142 | + | 13.2353i | 0.521140 | + | 0.902642i | ||||
\(216\) | −1.38811 | − | 1.74064i | −0.0944492 | − | 0.118436i | ||||
\(217\) | 0.496283 | − | 27.0144i | 0.0336899 | − | 1.83385i | ||||
\(218\) | 8.50328 | − | 10.6628i | 0.575915 | − | 0.722175i | ||||
\(219\) | 4.14013 | + | 0.624024i | 0.279764 | + | 0.0421676i | ||||
\(220\) | 0.504157 | − | 0.343728i | 0.0339902 | − | 0.0231741i | ||||
\(221\) | −2.83636 | + | 1.93379i | −0.190794 | + | 0.130081i | ||||
\(222\) | 17.6230 | + | 2.65624i | 1.18278 | + | 0.178275i | ||||
\(223\) | −5.27931 | + | 6.62004i | −0.353528 | + | 0.443311i | −0.926517 | − | 0.376253i | \(-0.877212\pi\) |
0.572989 | + | 0.819563i | \(0.305784\pi\) | |||||||
\(224\) | −12.2889 | + | 9.43610i | −0.821089 | + | 0.630476i | ||||
\(225\) | −5.87672 | − | 7.36917i | −0.391781 | − | 0.491278i | ||||
\(226\) | 4.16251 | + | 7.20968i | 0.276886 | + | 0.479581i | ||||
\(227\) | −9.80238 | + | 16.9782i | −0.650607 | + | 1.12688i | 0.332369 | + | 0.943149i | \(0.392152\pi\) |
−0.982976 | + | 0.183735i | \(0.941181\pi\) | |||||||
\(228\) | 15.7714 | − | 2.37716i | 1.04449 | − | 0.157431i | ||||
\(229\) | −7.58650 | + | 7.03925i | −0.501330 | + | 0.465167i | −0.889836 | − | 0.456280i | \(-0.849182\pi\) |
0.388506 | + | 0.921446i | \(0.372991\pi\) | |||||||
\(230\) | −8.87901 | − | 4.27591i | −0.585465 | − | 0.281945i | ||||
\(231\) | −0.614454 | + | 1.86939i | −0.0404281 | + | 0.122997i | ||||
\(232\) | 5.48744 | − | 2.64261i | 0.360268 | − | 0.173496i | ||||
\(233\) | −7.28296 | + | 18.5567i | −0.477123 | + | 1.21569i | 0.466457 | + | 0.884544i | \(0.345530\pi\) |
−0.943580 | + | 0.331145i | \(0.892565\pi\) | |||||||
\(234\) | 0.193036 | − | 2.57589i | 0.0126192 | − | 0.168391i | ||||
\(235\) | −15.5998 | − | 4.81189i | −1.01762 | − | 0.313893i | ||||
\(236\) | 0.0845411 | + | 1.12812i | 0.00550315 | + | 0.0734345i | ||||
\(237\) | −9.20779 | + | 40.3419i | −0.598110 | + | 2.62049i | ||||
\(238\) | −7.02167 | + | 0.396660i | −0.455147 | + | 0.0257116i | ||||
\(239\) | 2.43388 | + | 10.6635i | 0.157434 | + | 0.689765i | 0.990606 | + | 0.136750i | \(0.0436657\pi\) |
−0.833171 | + | 0.553015i | \(0.813477\pi\) | |||||||
\(240\) | 2.70260 | − | 0.833641i | 0.174452 | − | 0.0538113i | ||||
\(241\) | −3.21171 | − | 8.18329i | −0.206884 | − | 0.527132i | 0.789339 | − | 0.613957i | \(-0.210423\pi\) |
−0.996224 | + | 0.0868247i | \(0.972328\pi\) | |||||||
\(242\) | −6.19434 | − | 5.74750i | −0.398187 | − | 0.369464i | ||||
\(243\) | 18.4830 | + | 12.6015i | 1.18569 | + | 0.808388i | ||||
\(244\) | 3.55587 | 0.227642 | ||||||||
\(245\) | −2.66503 | + | 9.97244i | −0.170263 | + | 0.637116i | ||||
\(246\) | −1.18103 | −0.0752999 | ||||||||
\(247\) | 3.73848 | + | 2.54885i | 0.237874 | + | 0.162180i | ||||
\(248\) | −19.7112 | − | 18.2893i | −1.25166 | − | 1.16137i | ||||
\(249\) | −9.81796 | − | 25.0157i | −0.622188 | − | 1.58531i | ||||
\(250\) | −8.53857 | + | 2.63380i | −0.540027 | + | 0.166576i | ||||
\(251\) | 0.885586 | + | 3.88001i | 0.0558977 | + | 0.244904i | 0.995156 | − | 0.0983068i | \(-0.0313427\pi\) |
−0.939258 | + | 0.343211i | \(0.888486\pi\) | |||||||
\(252\) | −7.14904 | + | 10.0827i | −0.450347 | + | 0.635151i | ||||
\(253\) | −0.567463 | + | 2.48622i | −0.0356761 | + | 0.156307i | ||||
\(254\) | −0.173553 | − | 2.31591i | −0.0108897 | − | 0.145313i | ||||
\(255\) | 12.1761 | + | 3.75581i | 0.762494 | + | 0.235198i | ||||
\(256\) | −0.992814 | + | 13.2482i | −0.0620509 | + | 0.828011i | ||||
\(257\) | −7.27666 | + | 18.5406i | −0.453906 | + | 1.15653i | 0.502522 | + | 0.864564i | \(0.332405\pi\) |
−0.956428 | + | 0.291969i | \(0.905690\pi\) | |||||||
\(258\) | −18.1997 | + | 8.76450i | −1.13306 | + | 0.545654i | ||||
\(259\) | −3.16564 | − | 23.9841i | −0.196704 | − | 1.49030i | ||||
\(260\) | 1.86057 | + | 0.896006i | 0.115388 | + | 0.0555679i | ||||
\(261\) | 5.65654 | − | 5.24850i | 0.350131 | − | 0.324874i | ||||
\(262\) | −5.28325 | + | 0.796321i | −0.326400 | + | 0.0491969i | ||||
\(263\) | −6.93902 | + | 12.0187i | −0.427879 | + | 0.741107i | −0.996684 | − | 0.0813644i | \(-0.974072\pi\) |
0.568806 | + | 0.822472i | \(0.307406\pi\) | |||||||
\(264\) | 0.979166 | + | 1.69597i | 0.0602635 | + | 0.104379i | ||||
\(265\) | 0.740190 | + | 0.928169i | 0.0454695 | + | 0.0570170i | ||||
\(266\) | 3.86790 | + | 8.42420i | 0.237156 | + | 0.516521i | ||||
\(267\) | 15.5983 | − | 19.5597i | 0.954602 | − | 1.19703i | ||||
\(268\) | −4.43003 | − | 0.667720i | −0.270607 | − | 0.0407875i | ||||
\(269\) | 12.9801 | − | 8.84966i | 0.791409 | − | 0.539573i | −0.0988103 | − | 0.995106i | \(-0.531504\pi\) |
0.890219 | + | 0.455533i | \(0.150551\pi\) | |||||||
\(270\) | −0.797725 | + | 0.543880i | −0.0485480 | + | 0.0330995i | ||||
\(271\) | −12.8954 | − | 1.94367i | −0.783339 | − | 0.118069i | −0.254817 | − | 0.966989i | \(-0.582015\pi\) |
−0.528522 | + | 0.848920i | \(0.677253\pi\) | |||||||
\(272\) | 1.63085 | − | 2.04502i | 0.0988849 | − | 0.123998i | ||||
\(273\) | −6.51884 | + | 1.36241i | −0.394538 | + | 0.0824569i | ||||
\(274\) | 7.91523 | + | 9.92538i | 0.478176 | + | 0.599614i | ||||
\(275\) | 0.417429 | + | 0.723009i | 0.0251719 | + | 0.0435991i | ||||
\(276\) | −15.2115 | + | 26.3471i | −0.915627 | + | 1.58591i | ||||
\(277\) | 10.3787 | − | 1.56433i | 0.623594 | − | 0.0939917i | 0.170358 | − | 0.985382i | \(-0.445508\pi\) |
0.453236 | + | 0.891391i | \(0.350269\pi\) | |||||||
\(278\) | −3.77247 | + | 3.50034i | −0.226258 | + | 0.209936i | ||||
\(279\) | −30.6933 | − | 14.7811i | −1.83756 | − | 0.884923i | ||||
\(280\) | 5.63002 | + | 8.59269i | 0.336458 | + | 0.513511i | ||||
\(281\) | −2.38184 | + | 1.14703i | −0.142088 | + | 0.0684262i | −0.503577 | − | 0.863950i | \(-0.667983\pi\) |
0.361489 | + | 0.932377i | \(0.382269\pi\) | |||||||
\(282\) | 7.88320 | − | 20.0861i | 0.469438 | − | 1.19611i | ||||
\(283\) | 1.90949 | − | 25.4804i | 0.113507 | − | 1.51465i | −0.591995 | − | 0.805942i | \(-0.701659\pi\) |
0.705502 | − | 0.708708i | \(-0.250722\pi\) | |||||||
\(284\) | −4.81505 | − | 1.48525i | −0.285721 | − | 0.0881331i | ||||
\(285\) | −1.25508 | − | 16.7479i | −0.0743448 | − | 0.992062i | ||||
\(286\) | −0.0509122 | + | 0.223061i | −0.00301050 | + | 0.0131899i | ||||
\(287\) | 0.444322 | + | 1.54036i | 0.0262275 | + | 0.0909246i | ||||
\(288\) | 4.34706 | + | 19.0457i | 0.256153 | + | 1.12228i | ||||
\(289\) | −4.98382 | + | 1.53730i | −0.293166 | + | 0.0904296i | ||||
\(290\) | −0.964962 | − | 2.45868i | −0.0566645 | − | 0.144379i | ||||
\(291\) | 19.6008 | + | 18.1868i | 1.14902 | + | 1.06613i | ||||
\(292\) | −1.92463 | − | 1.31219i | −0.112630 | − | 0.0767901i | ||||
\(293\) | 7.04485 | 0.411565 | 0.205782 | − | 0.978598i | \(-0.434026\pi\) | ||||
0.205782 | + | 0.978598i | \(0.434026\pi\) | |||||||
\(294\) | −12.8810 | − | 4.49769i | −0.751235 | − | 0.262311i | ||||
\(295\) | 1.19124 | 0.0693569 | ||||||||
\(296\) | −19.8925 | − | 13.5625i | −1.15623 | − | 0.788304i | ||||
\(297\) | 0.183145 | + | 0.169933i | 0.0106271 | + | 0.00986053i | ||||
\(298\) | 4.03999 | + | 10.2937i | 0.234031 | + | 0.596300i | ||||
\(299\) | −8.24722 | + | 2.54393i | −0.476949 | + | 0.147119i | ||||
\(300\) | 2.21626 | + | 9.71006i | 0.127956 | + | 0.560611i | ||||
\(301\) | 18.2781 | + | 20.4396i | 1.05353 | + | 1.17812i | ||||
\(302\) | −0.755493 | + | 3.31003i | −0.0434737 | + | 0.190471i | ||||
\(303\) | 1.40433 | + | 18.7395i | 0.0806769 | + | 1.07656i | ||||
\(304\) | −3.29445 | − | 1.01620i | −0.188950 | − | 0.0582833i | ||||
\(305\) | 0.279815 | − | 3.73387i | 0.0160221 | − | 0.213801i | ||||
\(306\) | −3.23964 | + | 8.25447i | −0.185198 | + | 0.471877i | ||||
\(307\) | −2.22844 | + | 1.07316i | −0.127184 | + | 0.0612485i | −0.496394 | − | 0.868098i | \(-0.665343\pi\) |
0.369210 | + | 0.929346i | \(0.379628\pi\) | |||||||
\(308\) | 0.759253 | − | 0.788716i | 0.0432625 | − | 0.0449413i | ||||
\(309\) | 18.6141 | + | 8.96409i | 1.05892 | + | 0.509949i | ||||
\(310\) | −8.54800 | + | 7.93139i | −0.485494 | + | 0.450473i | ||||
\(311\) | 1.78102 | − | 0.268446i | 0.100992 | − | 0.0152222i | −0.0983516 | − | 0.995152i | \(-0.531357\pi\) |
0.199344 | + | 0.979930i | \(0.436119\pi\) | |||||||
\(312\) | −3.31386 | + | 5.73977i | −0.187610 | + | 0.324950i | ||||
\(313\) | −4.06713 | − | 7.04448i | −0.229888 | − | 0.398177i | 0.727887 | − | 0.685697i | \(-0.240503\pi\) |
−0.957775 | + | 0.287520i | \(0.907169\pi\) | |||||||
\(314\) | 5.37222 | + | 6.73655i | 0.303172 | + | 0.380165i | ||||
\(315\) | 10.0248 | + | 8.30031i | 0.564836 | + | 0.467670i | ||||
\(316\) | 14.3537 | − | 17.9989i | 0.807458 | − | 1.01252i | ||||
\(317\) | −7.67596 | − | 1.15696i | −0.431125 | − | 0.0649816i | −0.0701047 | − | 0.997540i | \(-0.522333\pi\) |
−0.361020 | + | 0.932558i | \(0.617571\pi\) | |||||||
\(318\) | −1.29649 | + | 0.883933i | −0.0727036 | + | 0.0495685i | ||||
\(319\) | −0.564714 | + | 0.385016i | −0.0316179 | + | 0.0215567i | ||||
\(320\) | 4.39003 | + | 0.661691i | 0.245410 | + | 0.0369897i | ||||
\(321\) | −27.2758 | + | 34.2028i | −1.52239 | + | 1.90902i | ||||
\(322\) | −17.1631 | − | 4.25049i | −0.956461 | − | 0.236870i | ||||
\(323\) | −9.68443 | − | 12.1439i | −0.538856 | − | 0.675705i | ||||
\(324\) | −5.51719 | − | 9.55606i | −0.306511 | − | 0.530892i | ||||
\(325\) | −1.41273 | + | 2.44693i | −0.0783644 | + | 0.135731i | ||||
\(326\) | −3.68835 | + | 0.555929i | −0.204279 | + | 0.0307901i | ||||
\(327\) | −32.4989 | + | 30.1546i | −1.79719 | + | 1.66755i | ||||
\(328\) | 1.43747 | + | 0.692247i | 0.0793708 | + | 0.0382230i | ||||
\(329\) | −29.1630 | − | 2.72497i | −1.60781 | − | 0.150233i | ||||
\(330\) | 0.765153 | − | 0.368478i | 0.0421203 | − | 0.0202841i | ||||
\(331\) | −4.45358 | + | 11.3475i | −0.244791 | + | 0.623717i | −0.999476 | − | 0.0323701i | \(-0.989694\pi\) |
0.754685 | + | 0.656087i | \(0.227790\pi\) | |||||||
\(332\) | −1.11730 | + | 14.9093i | −0.0613195 | + | 0.818252i | ||||
\(333\) | −29.1477 | − | 8.99087i | −1.59728 | − | 0.492697i | ||||
\(334\) | 0.132354 | + | 1.76614i | 0.00724207 | + | 0.0966387i | ||||
\(335\) | −1.04975 | + | 4.59924i | −0.0573537 | + | 0.251283i | ||||
\(336\) | 4.44041 | − | 2.45605i | 0.242244 | − | 0.133988i | ||||
\(337\) | 4.71483 | + | 20.6570i | 0.256833 | + | 1.12526i | 0.924615 | + | 0.380902i | \(0.124387\pi\) |
−0.667782 | + | 0.744357i | \(0.732756\pi\) | |||||||
\(338\) | −0.739932 | + | 0.228239i | −0.0402470 | + | 0.0124146i | ||||
\(339\) | −9.88691 | − | 25.1914i | −0.536983 | − | 1.36821i | ||||
\(340\) | −5.19669 | − | 4.82183i | −0.281830 | − | 0.261500i | ||||
\(341\) | 2.49314 | + | 1.69980i | 0.135011 | + | 0.0920491i | ||||
\(342\) | 11.6878 | 0.632004 | ||||||||
\(343\) | −1.02008 | + | 18.4921i | −0.0550791 | + | 0.998482i | ||||
\(344\) | 27.2885 | 1.47130 | ||||||||
\(345\) | 26.4690 | + | 18.0462i | 1.42504 | + | 0.971577i | ||||
\(346\) | 13.3862 | + | 12.4206i | 0.719649 | + | 0.667736i | ||||
\(347\) | −3.03765 | − | 7.73981i | −0.163070 | − | 0.415495i | 0.825861 | − | 0.563874i | \(-0.190690\pi\) |
−0.988931 | + | 0.148379i | \(0.952594\pi\) | |||||||
\(348\) | −7.79155 | + | 2.40337i | −0.417671 | + | 0.128834i | ||||
\(349\) | 5.37433 | + | 23.5465i | 0.287682 | + | 1.26042i | 0.887697 | + | 0.460427i | \(0.152304\pi\) |
−0.600016 | + | 0.799988i | \(0.704839\pi\) | |||||||
\(350\) | −5.06532 | + | 2.80169i | −0.270753 | + | 0.149757i | ||||
\(351\) | −0.188151 | + | 0.824345i | −0.0100428 | + | 0.0440003i | ||||
\(352\) | −0.129309 | − | 1.72550i | −0.00689217 | − | 0.0919696i | ||||
\(353\) | −15.3860 | − | 4.74596i | −0.818916 | − | 0.252602i | −0.143134 | − | 0.989703i | \(-0.545718\pi\) |
−0.675782 | + | 0.737101i | \(0.736194\pi\) | |||||||
\(354\) | −0.117665 | + | 1.57013i | −0.00625381 | + | 0.0834513i | ||||
\(355\) | −1.93849 | + | 4.93919i | −0.102884 | + | 0.262145i | ||||
\(356\) | −12.5403 | + | 6.03909i | −0.664635 | + | 0.320071i | ||||
\(357\) | 22.7626 | + | 2.12692i | 1.20472 | + | 0.112568i | ||||
\(358\) | −9.20480 | − | 4.43280i | −0.486489 | − | 0.234281i | ||||
\(359\) | −22.4181 | + | 20.8010i | −1.18318 | + | 1.09783i | −0.189939 | + | 0.981796i | \(0.560829\pi\) |
−0.993245 | + | 0.116038i | \(0.962981\pi\) | |||||||
\(360\) | 12.8079 | − | 1.93049i | 0.675038 | − | 0.101746i | ||||
\(361\) | −0.736459 | + | 1.27558i | −0.0387610 | + | 0.0671360i | ||||
\(362\) | −0.200571 | − | 0.347399i | −0.0105418 | − | 0.0182589i | ||||
\(363\) | 17.1264 | + | 21.4758i | 0.898903 | + | 1.12719i | ||||
\(364\) | 3.59648 | + | 0.890679i | 0.188507 | + | 0.0466843i | ||||
\(365\) | −1.52932 | + | 1.91771i | −0.0800484 | + | 0.100378i | ||||
\(366\) | 4.89381 | + | 0.737623i | 0.255803 | + | 0.0385562i | ||||
\(367\) | −8.51201 | + | 5.80339i | −0.444324 | + | 0.302935i | −0.764736 | − | 0.644343i | \(-0.777131\pi\) |
0.320413 | + | 0.947278i | \(0.396178\pi\) | |||||||
\(368\) | 5.43350 | − | 3.70449i | 0.283241 | − | 0.193110i | ||||
\(369\) | 1.99878 | + | 0.301268i | 0.104053 | + | 0.0156834i | ||||
\(370\) | −6.50977 | + | 8.16299i | −0.338427 | + | 0.424374i | ||||
\(371\) | 1.64063 | + | 1.35840i | 0.0851772 | + | 0.0705246i | ||||
\(372\) | 22.4444 | + | 28.1444i | 1.16369 | + | 1.45922i | ||||
\(373\) | −7.34679 | − | 12.7250i | −0.380402 | − | 0.658876i | 0.610717 | − | 0.791849i | \(-0.290881\pi\) |
−0.991120 | + | 0.132972i | \(0.957548\pi\) | |||||||
\(374\) | 0.392713 | − | 0.680200i | 0.0203067 | − | 0.0351723i | ||||
\(375\) | 28.7223 | − | 4.32920i | 1.48322 | − | 0.223559i | ||||
\(376\) | −21.3680 | + | 19.8267i | −1.10197 | + | 1.02248i | ||||
\(377\) | −2.08406 | − | 1.00363i | −0.107335 | − | 0.0516896i | ||||
\(378\) | −1.20136 | + | 1.24798i | −0.0617915 | + | 0.0641893i | ||||
\(379\) | −13.6870 | + | 6.59131i | −0.703054 | + | 0.338573i | −0.751023 | − | 0.660276i | \(-0.770439\pi\) |
0.0479692 | + | 0.998849i | \(0.484725\pi\) | |||||||
\(380\) | −3.41370 | + | 8.69797i | −0.175119 | + | 0.446197i | ||||
\(381\) | −0.564169 | + | 7.52832i | −0.0289033 | + | 0.385687i | ||||
\(382\) | −14.6561 | − | 4.52082i | −0.749874 | − | 0.231305i | ||||
\(383\) | −2.75634 | − | 36.7808i | −0.140842 | − | 1.87941i | −0.404140 | − | 0.914697i | \(-0.632429\pi\) |
0.263298 | − | 0.964715i | \(-0.415190\pi\) | |||||||
\(384\) | 5.25439 | − | 23.0210i | 0.268137 | − | 1.17479i | ||||
\(385\) | −0.768450 | − | 0.859323i | −0.0391638 | − | 0.0437952i | ||||
\(386\) | −3.25800 | − | 14.2742i | −0.165828 | − | 0.726539i | ||||
\(387\) | 33.0370 | − | 10.1906i | 1.67936 | − | 0.518015i | ||||
\(388\) | −5.43484 | − | 13.8477i | −0.275912 | − | 0.703012i | ||||
\(389\) | 2.21637 | + | 2.05649i | 0.112374 | + | 0.104268i | 0.734359 | − | 0.678761i | \(-0.237483\pi\) |
−0.621985 | + | 0.783029i | \(0.713673\pi\) | |||||||
\(390\) | 2.37477 | + | 1.61909i | 0.120251 | + | 0.0819858i | ||||
\(391\) | 29.6278 | 1.49834 | ||||||||
\(392\) | 13.0416 | + | 13.0243i | 0.658698 | + | 0.657827i | ||||
\(393\) | 17.3682 | 0.876111 | ||||||||
\(394\) | 2.52208 | + | 1.71952i | 0.127061 | + | 0.0866284i | ||||
\(395\) | −17.7704 | − | 16.4885i | −0.894126 | − | 0.829628i | ||||
\(396\) | −0.504302 | − | 1.28494i | −0.0253421 | − | 0.0645707i | ||||
\(397\) | −6.37958 | + | 1.96784i | −0.320182 | + | 0.0987631i | −0.450680 | − | 0.892685i | \(-0.648819\pi\) |
0.130498 | + | 0.991449i | \(0.458342\pi\) | |||||||
\(398\) | −3.74449 | − | 16.4057i | −0.187694 | − | 0.822343i | ||||
\(399\) | −8.35149 | − | 28.9526i | −0.418098 | − | 1.44945i | ||||
\(400\) | 0.479061 | − | 2.09890i | 0.0239531 | − | 0.104945i | ||||
\(401\) | 0.929680 | + | 12.4057i | 0.0464260 | + | 0.619512i | 0.971088 | + | 0.238723i | \(0.0767287\pi\) |
−0.924662 | + | 0.380789i | \(0.875652\pi\) | |||||||
\(402\) | −5.95836 | − | 1.83791i | −0.297176 | − | 0.0916667i | ||||
\(403\) | −0.763158 | + | 10.1836i | −0.0380156 | + | 0.507283i | ||||
\(404\) | 3.81964 | − | 9.73229i | 0.190034 | − | 0.484200i | ||||
\(405\) | −10.4685 | + | 5.04139i | −0.520186 | + | 0.250508i | ||||
\(406\) | −2.59715 | − | 3.96384i | −0.128894 | − | 0.196722i | ||||
\(407\) | 2.43421 | + | 1.17225i | 0.120659 | + | 0.0581064i | ||||
\(408\) | 16.6784 | − | 15.4753i | 0.825702 | − | 0.766140i | ||||
\(409\) | 3.67804 | − | 0.554376i | 0.181868 | − | 0.0274121i | −0.0574769 | − | 0.998347i | \(-0.518306\pi\) |
0.239345 | + | 0.970935i | \(0.423067\pi\) | |||||||
\(410\) | 0.345947 | − | 0.599198i | 0.0170851 | − | 0.0295923i | ||||
\(411\) | −20.6339 | − | 35.7389i | −1.01779 | − | 1.76287i | ||||
\(412\) | −7.16658 | − | 8.98661i | −0.353072 | − | 0.442738i | ||||
\(413\) | 2.09210 | − | 0.437242i | 0.102946 | − | 0.0215152i | ||||
\(414\) | −13.9001 | + | 17.4301i | −0.683150 | + | 0.856644i | ||||
\(415\) | 15.5676 | + | 2.34644i | 0.764185 | + | 0.115182i | ||||
\(416\) | 4.83854 | − | 3.29886i | 0.237229 | − | 0.161740i | ||||
\(417\) | 13.8221 | − | 9.42373i | 0.676870 | − | 0.461482i | ||||
\(418\) | −1.02368 | − | 0.154294i | −0.0500696 | − | 0.00754678i | ||||
\(419\) | 2.71912 | − | 3.40967i | 0.132838 | − | 0.166573i | −0.710964 | − | 0.703229i | \(-0.751741\pi\) |
0.843802 | + | 0.536655i | \(0.180312\pi\) | |||||||
\(420\) | −5.73851 | − | 12.4984i | −0.280011 | − | 0.609857i | ||||
\(421\) | −18.8391 | − | 23.6234i | −0.918159 | − | 1.15134i | −0.988104 | − | 0.153784i | \(-0.950854\pi\) |
0.0699452 | − | 0.997551i | \(-0.477718\pi\) | |||||||
\(422\) | −3.92124 | − | 6.79179i | −0.190883 | − | 0.330619i | ||||
\(423\) | −18.4653 | + | 31.9828i | −0.897814 | + | 1.55506i | ||||
\(424\) | 2.09610 | − | 0.315936i | 0.101796 | − | 0.0153432i | ||||
\(425\) | 7.11017 | − | 6.59728i | 0.344894 | − | 0.320015i | ||||
\(426\) | −6.31866 | − | 3.04291i | −0.306140 | − | 0.147429i | ||||
\(427\) | −0.879081 | − | 6.66025i | −0.0425417 | − | 0.322312i | ||||
\(428\) | 21.9285 | − | 10.5602i | 1.05995 | − | 0.510446i | ||||
\(429\) | 0.271723 | − | 0.692338i | 0.0131189 | − | 0.0334264i | ||||
\(430\) | 0.884357 | − | 11.8009i | 0.0426475 | − | 0.569091i | ||||
\(431\) | 22.2170 | + | 6.85303i | 1.07015 | + | 0.330099i | 0.779289 | − | 0.626665i | \(-0.215581\pi\) |
0.290865 | + | 0.956764i | \(0.406057\pi\) | |||||||
\(432\) | −0.0481462 | − | 0.642466i | −0.00231644 | − | 0.0309107i | ||||
\(433\) | −8.30554 | + | 36.3890i | −0.399139 | + | 1.74874i | 0.231661 | + | 0.972797i | \(0.425584\pi\) |
−0.630800 | + | 0.775945i | \(0.717273\pi\) | |||||||
\(434\) | −12.1011 | + | 17.0669i | −0.580872 | + | 0.819237i | ||||
\(435\) | 1.91055 | + | 8.37068i | 0.0916040 | + | 0.401343i | ||||
\(436\) | 23.5693 | − | 7.27018i | 1.12877 | − | 0.348178i | ||||
\(437\) | −14.2670 | − | 36.3517i | −0.682482 | − | 1.73894i | ||||
\(438\) | −2.37659 | − | 2.20515i | −0.113558 | − | 0.105366i | ||||
\(439\) | −26.0072 | − | 17.7314i | −1.24125 | − | 0.846273i | −0.248760 | − | 0.968565i | \(-0.580023\pi\) |
−0.992494 | + | 0.122293i | \(0.960975\pi\) | |||||||
\(440\) | −1.14727 | −0.0546938 | ||||||||
\(441\) | 20.6526 | + | 10.8977i | 0.983456 | + | 0.518939i | ||||
\(442\) | 2.65817 | 0.126436 | ||||||||
\(443\) | −6.34046 | − | 4.32285i | −0.301244 | − | 0.205385i | 0.403258 | − | 0.915086i | \(-0.367878\pi\) |
−0.704503 | + | 0.709701i | \(0.748830\pi\) | |||||||
\(444\) | 23.6276 | + | 21.9232i | 1.12131 | + | 1.04043i | ||||
\(445\) | 5.35458 | + | 13.6432i | 0.253831 | + | 0.646751i | ||||
\(446\) | 6.26526 | − | 1.93258i | 0.296669 | − | 0.0915102i | ||||
\(447\) | −7.99889 | − | 35.0454i | −0.378334 | − | 1.65759i | ||||
\(448\) | 7.95280 | − | 0.449260i | 0.375735 | − | 0.0212255i | ||||
\(449\) | −2.02749 | + | 8.88304i | −0.0956834 | + | 0.419216i | −0.999970 | − | 0.00770896i | \(-0.997546\pi\) |
0.904287 | + | 0.426925i | \(0.140403\pi\) | |||||||
\(450\) | 0.545418 | + | 7.27809i | 0.0257112 | + | 0.343093i | ||||
\(451\) | −0.171086 | − | 0.0527731i | −0.00805614 | − | 0.00248499i | ||||
\(452\) | −1.12514 | + | 15.0140i | −0.0529222 | + | 0.706198i | ||||
\(453\) | 4.03213 | − | 10.2737i | 0.189446 | − | 0.482700i | ||||
\(454\) | 13.6773 | − | 6.58663i | 0.641906 | − | 0.309126i | ||||
\(455\) | 1.21827 | − | 3.70642i | 0.0571135 | − | 0.173760i | ||||
\(456\) | −27.0186 | − | 13.0115i | −1.26526 | − | 0.609319i | ||||
\(457\) | −19.3256 | + | 17.9316i | −0.904014 | + | 0.838803i | −0.987486 | − | 0.157707i | \(-0.949590\pi\) |
0.0834715 | + | 0.996510i | \(0.473399\pi\) | |||||||
\(458\) | 7.92423 | − | 1.19439i | 0.370275 | − | 0.0558100i | ||||
\(459\) | 1.45132 | − | 2.51375i | 0.0677416 | − | 0.117332i | ||||
\(460\) | −8.91151 | − | 15.4352i | −0.415501 | − | 0.719669i | ||||
\(461\) | 7.24881 | + | 9.08973i | 0.337611 | + | 0.423351i | 0.921437 | − | 0.388528i | \(-0.127016\pi\) |
−0.583826 | + | 0.811879i | \(0.698445\pi\) | |||||||
\(462\) | 1.20854 | − | 0.927980i | 0.0562263 | − | 0.0431736i | ||||
\(463\) | 4.06554 | − | 5.09802i | 0.188942 | − | 0.236925i | −0.678334 | − | 0.734754i | \(-0.737298\pi\) |
0.867275 | + | 0.497829i | \(0.165869\pi\) | |||||||
\(464\) | 1.74282 | + | 0.262688i | 0.0809084 | + | 0.0121950i | ||||
\(465\) | 31.3193 | − | 21.3531i | 1.45240 | − | 0.990228i | ||||
\(466\) | 12.7539 | − | 8.69547i | 0.590813 | − | 0.402810i | ||||
\(467\) | 1.48148 | + | 0.223297i | 0.0685546 | + | 0.0103329i | 0.183230 | − | 0.983070i | \(-0.441345\pi\) |
−0.114675 | + | 0.993403i | \(0.536583\pi\) | |||||||
\(468\) | 2.91272 | − | 3.65244i | 0.134641 | − | 0.168834i | ||||
\(469\) | −0.155468 | + | 8.46264i | −0.00717884 | + | 0.390769i | ||||
\(470\) | 7.88155 | + | 9.88315i | 0.363549 | + | 0.455876i | ||||
\(471\) | −14.0046 | − | 24.2567i | −0.645298 | − | 1.11769i | ||||
\(472\) | 1.06352 | − | 1.84208i | 0.0489526 | − | 0.0847884i | ||||
\(473\) | −3.02807 | + | 0.456408i | −0.139231 | + | 0.0209857i | ||||
\(474\) | 23.4881 | − | 21.7937i | 1.07884 | − | 1.00102i | ||||
\(475\) | −11.5183 | − | 5.54694i | −0.528498 | − | 0.254511i | ||||
\(476\) | −10.8964 | − | 6.56083i | −0.499438 | − | 0.300715i | ||||
\(477\) | 2.41967 | − | 1.16525i | 0.110789 | − | 0.0533532i | ||||
\(478\) | 3.09424 | − | 7.88400i | 0.141527 | − | 0.360606i | ||||
\(479\) | 0.0660881 | − | 0.881884i | 0.00301964 | − | 0.0402943i | −0.995490 | − | 0.0948620i | \(-0.969759\pi\) |
0.998510 | + | 0.0545677i | \(0.0173781\pi\) | |||||||
\(480\) | −20.7711 | − | 6.40705i | −0.948069 | − | 0.292440i | ||||
\(481\) | 0.683315 | + | 9.11820i | 0.0311565 | + | 0.415754i | ||||
\(482\) | −1.51473 | + | 6.63648i | −0.0689942 | + | 0.302284i | ||||
\(483\) | 53.1095 | + | 21.9781i | 2.41657 | + | 1.00004i | ||||
\(484\) | −3.40061 | − | 14.8991i | −0.154573 | − | 0.677230i | ||||
\(485\) | −14.9686 | + | 4.61719i | −0.679688 | + | 0.209656i | ||||
\(486\) | −6.32841 | − | 16.1245i | −0.287062 | − | 0.731423i | ||||
\(487\) | −21.1892 | − | 19.6607i | −0.960176 | − | 0.890913i | 0.0339193 | − | 0.999425i | \(-0.489201\pi\) |
−0.994095 | + | 0.108512i | \(0.965392\pi\) | |||||||
\(488\) | −5.52404 | − | 3.76623i | −0.250061 | − | 0.170489i | ||||
\(489\) | 12.1251 | 0.548318 | ||||||||
\(490\) | 6.05500 | − | 5.21773i | 0.273537 | − | 0.235713i | ||||
\(491\) | −17.5263 | −0.790950 | −0.395475 | − | 0.918477i | \(-0.629420\pi\) | ||||
−0.395475 | + | 0.918477i | \(0.629420\pi\) | |||||||
\(492\) | −1.76479 | − | 1.20321i | −0.0795630 | − | 0.0542451i | ||||
\(493\) | 5.82090 | + | 5.40101i | 0.262160 | + | 0.243249i | ||||
\(494\) | −1.28002 | − | 3.26144i | −0.0575908 | − | 0.146739i | ||||
\(495\) | −1.38894 | + | 0.428432i | −0.0624284 | + | 0.0192566i | ||||
\(496\) | −1.73149 | − | 7.58615i | −0.0777461 | − | 0.340628i | ||||
\(497\) | −1.59153 | + | 9.38590i | −0.0713900 | + | 0.421015i | ||||
\(498\) | −4.63043 | + | 20.2873i | −0.207495 | + | 0.909094i | ||||
\(499\) | −1.99699 | − | 26.6480i | −0.0893976 | − | 1.19293i | −0.843852 | − | 0.536576i | \(-0.819717\pi\) |
0.754454 | − | 0.656353i | \(-0.227902\pi\) | |||||||
\(500\) | −15.4423 | − | 4.76331i | −0.690600 | − | 0.213022i | ||||
\(501\) | 0.430242 | − | 5.74118i | 0.0192218 | − | 0.256497i | ||||
\(502\) | 1.12587 | − | 2.86866i | 0.0502498 | − | 0.128035i | ||||
\(503\) | 0.164815 | − | 0.0793705i | 0.00734872 | − | 0.00353896i | −0.430206 | − | 0.902731i | \(-0.641559\pi\) |
0.437554 | + | 0.899192i | \(0.355845\pi\) | |||||||
\(504\) | 21.7852 | − | 8.09149i | 0.970389 | − | 0.360424i | ||||
\(505\) | −9.91888 | − | 4.77668i | −0.441384 | − | 0.212560i | ||||
\(506\) | 1.44754 | − | 1.34312i | 0.0643508 | − | 0.0597088i | ||||
\(507\) | 2.48901 | − | 0.375158i | 0.110541 | − | 0.0166614i | ||||
\(508\) | 2.10007 | − | 3.63743i | 0.0931755 | − | 0.161385i | ||||
\(509\) | 5.22003 | + | 9.04135i | 0.231374 | + | 0.400751i | 0.958213 | − | 0.286057i | \(-0.0923447\pi\) |
−0.726839 | + | 0.686808i | \(0.759011\pi\) | |||||||
\(510\) | −6.15177 | − | 7.71408i | −0.272405 | − | 0.341585i | ||||
\(511\) | −1.98196 | + | 3.92928i | −0.0876768 | + | 0.173821i | ||||
\(512\) | −5.28385 | + | 6.62573i | −0.233515 | + | 0.292819i | ||||
\(513\) | −3.78311 | − | 0.570212i | −0.167028 | − | 0.0251755i | ||||
\(514\) | 12.7429 | − | 8.68795i | 0.562064 | − | 0.383209i | ||||
\(515\) | −10.0004 | + | 6.81815i | −0.440670 | + | 0.300443i | ||||
\(516\) | −36.1245 | − | 5.44490i | −1.59029 | − | 0.239698i | ||||
\(517\) | 2.03950 | − | 2.55745i | 0.0896970 | − | 0.112476i | ||||
\(518\) | −8.43649 | + | 16.7255i | −0.370678 | + | 0.734877i | ||||
\(519\) | −37.0109 | − | 46.4102i | −1.62460 | − | 2.03718i | ||||
\(520\) | −1.94139 | − | 3.36258i | −0.0851354 | − | 0.147459i | ||||
\(521\) | −12.4775 | + | 21.6116i | −0.546648 | + | 0.946823i | 0.451853 | + | 0.892093i | \(0.350763\pi\) |
−0.998501 | + | 0.0547303i | \(0.982570\pi\) | |||||||
\(522\) | −5.90835 | + | 0.890540i | −0.258601 | + | 0.0389779i | ||||
\(523\) | 6.19413 | − | 5.74731i | 0.270850 | − | 0.251313i | −0.533040 | − | 0.846090i | \(-0.678950\pi\) |
0.803890 | + | 0.594778i | \(0.202760\pi\) | |||||||
\(524\) | −8.70593 | − | 4.19255i | −0.380320 | − | 0.183153i | ||||
\(525\) | 17.6393 | − | 6.55163i | 0.769843 | − | 0.285937i | ||||
\(526\) | 9.68203 | − | 4.66262i | 0.422156 | − | 0.203300i | ||||
\(527\) | 12.8077 | − | 32.6336i | 0.557914 | − | 1.42154i | ||||
\(528\) | −0.0423499 | + | 0.565121i | −0.00184304 | + | 0.0245937i | ||||
\(529\) | 49.2008 | + | 15.1764i | 2.13916 | + | 0.659845i | ||||
\(530\) | −0.0686970 | − | 0.916697i | −0.00298401 | − | 0.0398188i | ||||
\(531\) | 0.599658 | − | 2.62728i | 0.0260230 | − | 0.114014i | ||||
\(532\) | −2.80271 | + | 16.5287i | −0.121513 | + | 0.716609i | ||||
\(533\) | −0.134834 | − | 0.590747i | −0.00584031 | − | 0.0255881i | ||||
\(534\) | −18.5114 | + | 5.71002i | −0.801069 | + | 0.247097i | ||||
\(535\) | −9.36322 | − | 23.8571i | −0.404807 | − | 1.03143i | ||||
\(536\) | 6.17482 | + | 5.72939i | 0.266711 | + | 0.247472i | ||||
\(537\) | 27.4402 | + | 18.7084i | 1.18413 | + | 0.807327i | ||||
\(538\) | −12.1646 | −0.524455 | ||||||||
\(539\) | −1.66499 | − | 1.22712i | −0.0717162 | − | 0.0528557i | ||||
\(540\) | −1.74612 | −0.0751410 | ||||||||
\(541\) | 18.8446 | + | 12.8480i | 0.810191 | + | 0.552379i | 0.896063 | − | 0.443928i | \(-0.146415\pi\) |
−0.0858720 | + | 0.996306i | \(0.527368\pi\) | |||||||
\(542\) | 7.40245 | + | 6.86847i | 0.317962 | + | 0.295026i | ||||
\(543\) | 0.476402 | + | 1.21385i | 0.0204444 | + | 0.0520914i | ||||
\(544\) | −19.2100 | + | 5.92551i | −0.823623 | + | 0.254054i | ||||
\(545\) | −5.77940 | − | 25.3212i | −0.247562 | − | 1.08464i | ||||
\(546\) | 4.76493 | + | 1.97185i | 0.203920 | + | 0.0843875i | ||||
\(547\) | −5.23110 | + | 22.9189i | −0.223666 | + | 0.979943i | 0.731027 | + | 0.682349i | \(0.239041\pi\) |
−0.954692 | + | 0.297594i | \(0.903816\pi\) | |||||||
\(548\) | 1.71576 | + | 22.8952i | 0.0732935 | + | 0.978034i | ||||
\(549\) | −8.09415 | − | 2.49671i | −0.345450 | − | 0.106557i | ||||
\(550\) | 0.0483100 | − | 0.644652i | 0.00205994 | − | 0.0274880i | ||||
\(551\) | 3.82375 | − | 9.74275i | 0.162897 | − | 0.415055i | ||||
\(552\) | 51.5368 | − | 24.8188i | 2.19355 | − | 1.05636i | ||||
\(553\) | −37.2610 | − | 22.4352i | −1.58450 | − | 0.954040i | ||||
\(554\) | −7.32247 | − | 3.52632i | −0.311102 | − | 0.149819i | ||||
\(555\) | 24.8798 | − | 23.0851i | 1.05609 | − | 0.979908i | ||||
\(556\) | −9.20321 | + | 1.38716i | −0.390303 | + | 0.0588287i | ||||
\(557\) | −6.55900 | + | 11.3605i | −0.277914 | + | 0.481360i | −0.970866 | − | 0.239623i | \(-0.922976\pi\) |
0.692952 | + | 0.720983i | \(0.256310\pi\) | |||||||
\(558\) | 13.1896 | + | 22.8451i | 0.558361 | + | 0.967110i | ||||
\(559\) | −6.46175 | − | 8.10278i | −0.273303 | − | 0.342711i | ||||
\(560\) | −0.0546038 | + | 2.97227i | −0.00230743 | + | 0.125601i | ||||
\(561\) | −1.59189 | + | 1.99616i | −0.0672094 | + | 0.0842780i | ||||
\(562\) | 2.02419 | + | 0.305098i | 0.0853855 | + | 0.0128698i | ||||
\(563\) | 6.78696 | − | 4.62727i | 0.286036 | − | 0.195016i | −0.411799 | − | 0.911275i | \(-0.635099\pi\) |
0.697835 | + | 0.716259i | \(0.254147\pi\) | |||||||
\(564\) | 32.2430 | − | 21.9829i | 1.35768 | − | 0.925648i | ||||
\(565\) | 15.6770 | + | 2.36292i | 0.659535 | + | 0.0994089i | ||||
\(566\) | −12.3361 | + | 15.4690i | −0.518526 | + | 0.650211i | ||||
\(567\) | −16.5348 | + | 12.6963i | −0.694396 | + | 0.533194i | ||||
\(568\) | 5.90705 | + | 7.40721i | 0.247854 | + | 0.310800i | ||||
\(569\) | −9.87349 | − | 17.1014i | −0.413918 | − | 0.716928i | 0.581396 | − | 0.813621i | \(-0.302507\pi\) |
−0.995314 | + | 0.0966932i | \(0.969173\pi\) | |||||||
\(570\) | −6.50243 | + | 11.2625i | −0.272357 | + | 0.471736i | ||||
\(571\) | 1.88683 | − | 0.284394i | 0.0789615 | − | 0.0119015i | −0.109443 | − | 0.993993i | \(-0.534907\pi\) |
0.188404 | + | 0.982092i | \(0.439669\pi\) | |||||||
\(572\) | −0.303327 | + | 0.281447i | −0.0126828 | + | 0.0117679i | ||||
\(573\) | 44.9203 | + | 21.6325i | 1.87657 | + | 0.903709i | ||||
\(574\) | 0.387631 | − | 1.17931i | 0.0161794 | − | 0.0492235i | ||||
\(575\) | 21.9707 | − | 10.5805i | 0.916242 | − | 0.441239i | ||||
\(576\) | 3.66925 | − | 9.34908i | 0.152885 | − | 0.389545i | ||||
\(577\) | −2.06617 | + | 27.5711i | −0.0860156 | + | 1.14780i | 0.772501 | + | 0.635013i | \(0.219005\pi\) |
−0.858517 | + | 0.512786i | \(0.828614\pi\) | |||||||
\(578\) | 3.85914 | + | 1.19039i | 0.160519 | + | 0.0495135i | ||||
\(579\) | 3.55674 | + | 47.4614i | 0.147813 | + | 1.97243i | ||||
\(580\) | 1.06294 | − | 4.65705i | 0.0441362 | − | 0.193373i | ||||
\(581\) | 28.2017 | − | 1.59314i | 1.17000 | − | 0.0660944i | ||||
\(582\) | −4.60720 | − | 20.1855i | −0.190975 | − | 0.836715i | ||||
\(583\) | −0.227309 | + | 0.0701157i | −0.00941419 | + | 0.00290389i | ||||
\(584\) | 1.60009 | + | 4.07696i | 0.0662122 | + | 0.168706i | ||||
\(585\) | −3.60606 | − | 3.34593i | −0.149092 | − | 0.138337i | ||||
\(586\) | −4.50719 | − | 3.07295i | −0.186190 | − | 0.126942i | ||||
\(587\) | 42.6398 | 1.75993 | 0.879967 | − | 0.475034i | \(-0.157564\pi\) | ||||
0.879967 | + | 0.475034i | \(0.157564\pi\) | |||||||
\(588\) | −14.6657 | − | 19.8437i | −0.604801 | − | 0.818342i | ||||
\(589\) | −46.2071 | −1.90393 | ||||||||
\(590\) | −0.762139 | − | 0.519618i | −0.0313768 | − | 0.0213923i | ||||
\(591\) | −7.27385 | − | 6.74915i | −0.299206 | − | 0.277623i | ||||
\(592\) | −2.54538 | − | 6.48553i | −0.104615 | − | 0.266554i | ||||
\(593\) | 20.8771 | − | 6.43974i | 0.857320 | − | 0.264448i | 0.165226 | − | 0.986256i | \(-0.447165\pi\) |
0.692094 | + | 0.721807i | \(0.256688\pi\) | |||||||
\(594\) | −0.0430485 | − | 0.188608i | −0.00176630 | − | 0.00773868i | ||||
\(595\) | −7.74669 | + | 10.9256i | −0.317583 | + | 0.447906i | ||||
\(596\) | −4.45020 | + | 19.4976i | −0.182287 | + | 0.798653i | ||||
\(597\) | 4.08784 | + | 54.5485i | 0.167304 | + | 2.23252i | ||||
\(598\) | 6.38610 | + | 1.96985i | 0.261147 | + | 0.0805532i | ||||
\(599\) | 2.58698 | − | 34.5209i | 0.105701 | − | 1.41049i | −0.652166 | − | 0.758077i | \(-0.726139\pi\) |
0.757867 | − | 0.652409i | \(-0.226242\pi\) | |||||||
\(600\) | 6.84152 | − | 17.4319i | 0.279304 | − | 0.711655i | ||||
\(601\) | −11.4013 | + | 5.49058i | −0.465069 | + | 0.223965i | −0.651718 | − | 0.758461i | \(-0.725951\pi\) |
0.186649 | + | 0.982427i | \(0.440237\pi\) | |||||||
\(602\) | −2.77835 | − | 21.0498i | −0.113237 | − | 0.857926i | ||||
\(603\) | 9.61513 | + | 4.63040i | 0.391559 | + | 0.188565i | ||||
\(604\) | −4.50112 | + | 4.17643i | −0.183148 | + | 0.169936i | ||||
\(605\) | −15.9124 | + | 2.39841i | −0.646933 | + | 0.0975094i | ||||
\(606\) | 7.27567 | − | 12.6018i | 0.295554 | − | 0.511914i | ||||
\(607\) | 11.0497 | + | 19.1386i | 0.448493 | + | 0.776813i | 0.998288 | − | 0.0584868i | \(-0.0186276\pi\) |
−0.549795 | + | 0.835300i | \(0.685294\pi\) | |||||||
\(608\) | 16.5207 | + | 20.7163i | 0.670003 | + | 0.840157i | ||||
\(609\) | 6.42781 | + | 13.9996i | 0.260468 | + | 0.567293i | ||||
\(610\) | −1.80773 | + | 2.26682i | −0.0731927 | + | 0.0917807i | ||||
\(611\) | 10.9469 | + | 1.64999i | 0.442866 | + | 0.0667513i | ||||
\(612\) | −13.2504 | + | 9.03400i | −0.535617 | + | 0.365178i | ||||
\(613\) | −32.2366 | + | 21.9785i | −1.30202 | + | 0.887705i | −0.997890 | − | 0.0649248i | \(-0.979319\pi\) |
−0.304133 | + | 0.952629i | \(0.598367\pi\) | |||||||
\(614\) | 1.89383 | + | 0.285449i | 0.0764288 | + | 0.0115198i | ||||
\(615\) | −1.40232 | + | 1.75845i | −0.0565468 | + | 0.0709075i | ||||
\(616\) | −2.01487 | + | 0.421100i | −0.0811814 | + | 0.0169666i | ||||
\(617\) | 28.8868 | + | 36.2229i | 1.16294 | + | 1.45828i | 0.863631 | + | 0.504125i | \(0.168185\pi\) |
0.299310 | + | 0.954156i | \(0.403244\pi\) | |||||||
\(618\) | −7.99891 | − | 13.8545i | −0.321764 | − | 0.557311i | ||||
\(619\) | −0.741136 | + | 1.28368i | −0.0297888 | + | 0.0515956i | −0.880535 | − | 0.473980i | \(-0.842817\pi\) |
0.850747 | + | 0.525576i | \(0.176150\pi\) | |||||||
\(620\) | −20.8535 | + | 3.14315i | −0.837495 | + | 0.126232i | ||||
\(621\) | 5.34953 | − | 4.96363i | 0.214669 | − | 0.199184i | ||||
\(622\) | −1.25656 | − | 0.605130i | −0.0503836 | − | 0.0242635i | ||||
\(623\) | 14.4116 | + | 21.9953i | 0.577388 | + | 0.881225i | ||||
\(624\) | −1.72800 | + | 0.832162i | −0.0691755 | + | 0.0333131i | ||||
\(625\) | −1.05561 | + | 2.68966i | −0.0422245 | + | 0.107586i | ||||
\(626\) | −0.470697 | + | 6.28102i | −0.0188129 | + | 0.251040i | ||||
\(627\) | 3.21574 | + | 0.991925i | 0.128424 | + | 0.0396137i | ||||
\(628\) | 1.16452 | + | 15.5394i | 0.0464693 | + | 0.620090i | ||||
\(629\) | 6.98475 | − | 30.6022i | 0.278500 | − | 1.22019i | ||||
\(630\) | −2.79316 | − | 9.68322i | −0.111282 | − | 0.385789i | ||||
\(631\) | −6.43371 | − | 28.1879i | −0.256122 | − | 1.12214i | −0.925358 | − | 0.379094i | \(-0.876236\pi\) |
0.669236 | − | 0.743050i | \(-0.266621\pi\) | |||||||
\(632\) | −41.3621 | + | 12.7585i | −1.64530 | + | 0.507506i | ||||
\(633\) | 9.31384 | + | 23.7313i | 0.370192 | + | 0.943234i | ||||
\(634\) | 4.40629 | + | 4.08844i | 0.174996 | + | 0.162373i | ||||
\(635\) | −3.65424 | − | 2.49142i | −0.145014 | − | 0.0988691i | ||||
\(636\) | −2.83786 | −0.112528 | ||||||||
\(637\) | 0.779147 | − | 6.95650i | 0.0308709 | − | 0.275627i | ||||
\(638\) | 0.529238 | 0.0209528 | ||||||||
\(639\) | 9.91752 | + | 6.76165i | 0.392331 | + | 0.267487i | ||||
\(640\) | 10.1406 | + | 9.40912i | 0.400843 | + | 0.371928i | ||||
\(641\) | 3.45272 | + | 8.79738i | 0.136374 | + | 0.347476i | 0.982704 | − | 0.185184i | \(-0.0592880\pi\) |
−0.846330 | + | 0.532659i | \(0.821193\pi\) | |||||||
\(642\) | 32.3698 | − | 9.98478i | 1.27754 | − | 0.394068i | ||||
\(643\) | −6.35211 | − | 27.8304i | −0.250503 | − | 1.09752i | −0.931070 | − | 0.364839i | \(-0.881124\pi\) |
0.680568 | − | 0.732685i | \(-0.261733\pi\) | |||||||
\(644\) | −21.3161 | − | 23.8369i | −0.839973 | − | 0.939304i | ||||
\(645\) | −8.56011 | + | 37.5043i | −0.337054 | + | 1.47673i | ||||
\(646\) | 0.898811 | + | 11.9938i | 0.0353633 | + | 0.471890i | ||||
\(647\) | 16.6820 | + | 5.14573i | 0.655839 | + | 0.202300i | 0.604776 | − | 0.796396i | \(-0.293263\pi\) |
0.0510634 | + | 0.998695i | \(0.483739\pi\) | |||||||
\(648\) | −1.55042 | + | 20.6889i | −0.0609061 | + | 0.812735i | ||||
\(649\) | −0.0872045 | + | 0.222193i | −0.00342308 | + | 0.00872185i | ||||
\(650\) | 1.97119 | − | 0.949275i | 0.0773164 | − | 0.0372336i | ||||
\(651\) | 47.1665 | − | 48.9968i | 1.84860 | − | 1.92033i | ||||
\(652\) | −6.07780 | − | 2.92691i | −0.238025 | − | 0.114627i | ||||
\(653\) | −17.8602 | + | 16.5719i | −0.698925 | + | 0.648508i | −0.947371 | − | 0.320138i | \(-0.896271\pi\) |
0.248445 | + | 0.968646i | \(0.420080\pi\) | |||||||
\(654\) | 33.9456 | − | 5.11648i | 1.32738 | − | 0.200070i | ||||
\(655\) | −5.08749 | + | 8.81179i | −0.198785 | + | 0.344305i | ||||
\(656\) | 0.230849 | + | 0.399843i | 0.00901315 | + | 0.0156112i | ||||
\(657\) | 3.45964 | + | 4.33826i | 0.134974 | + | 0.169252i | ||||
\(658\) | 17.4694 | + | 14.4642i | 0.681029 | + | 0.563875i | ||||
\(659\) | 20.3800 | − | 25.5557i | 0.793892 | − | 0.995509i | −0.205964 | − | 0.978560i | \(-0.566033\pi\) |
0.999856 | − | 0.0169498i | \(-0.00539555\pi\) | |||||||
\(660\) | 1.51875 | + | 0.228915i | 0.0591173 | + | 0.00891050i | ||||
\(661\) | −10.1093 | + | 6.89239i | −0.393206 | + | 0.268083i | −0.743743 | − | 0.668466i | \(-0.766951\pi\) |
0.350537 | + | 0.936549i | \(0.385999\pi\) | |||||||
\(662\) | 7.79910 | − | 5.31734i | 0.303121 | − | 0.206664i | ||||
\(663\) | −8.54440 | − | 1.28786i | −0.331837 | − | 0.0500164i | ||||
\(664\) | 17.5270 | − | 21.9781i | 0.680178 | − | 0.852916i | ||||
\(665\) | 17.1355 | + | 4.24365i | 0.664485 | + | 0.164562i | ||||
\(666\) | 14.7264 | + | 18.4664i | 0.570638 | + | 0.715557i | ||||
\(667\) | 9.98193 | + | 17.2892i | 0.386502 | + | 0.669441i | ||||
\(668\) | −1.60154 | + | 2.77394i | −0.0619653 | + | 0.107327i | ||||
\(669\) | −21.0753 | + | 3.17659i | −0.814819 | + | 0.122814i | ||||
\(670\) | 2.67779 | − | 2.48462i | 0.103452 | − | 0.0959894i | ||||
\(671\) | 0.675965 | + | 0.325528i | 0.0260954 | + | 0.0125669i | ||||
\(672\) | −38.8307 | − | 3.62831i | −1.49793 | − | 0.139965i | ||||
\(673\) | 17.4036 | − | 8.38111i | 0.670858 | − | 0.323068i | −0.0672642 | − | 0.997735i | \(-0.521427\pi\) |
0.738122 | + | 0.674667i | \(0.235713\pi\) | |||||||
\(674\) | 5.99407 | − | 15.2726i | 0.230883 | − | 0.588280i | ||||
\(675\) | 0.178535 | − | 2.38238i | 0.00687180 | − | 0.0916978i | ||||
\(676\) | −1.33819 | − | 0.412777i | −0.0514689 | − | 0.0158761i | ||||
\(677\) | −1.44334 | − | 19.2601i | −0.0554722 | − | 0.740225i | −0.953712 | − | 0.300720i | \(-0.902773\pi\) |
0.898240 | − | 0.439505i | \(-0.144846\pi\) | |||||||
\(678\) | −4.66295 | + | 20.4297i | −0.179080 | + | 0.784599i | ||||
\(679\) | −24.5936 | + | 13.6030i | −0.943816 | + | 0.522036i | ||||
\(680\) | 2.96598 | + | 12.9948i | 0.113740 | + | 0.498328i | ||||
\(681\) | −47.1553 | + | 14.5455i | −1.80699 | + | 0.557384i | ||||
\(682\) | −0.853627 | − | 2.17501i | −0.0326871 | − | 0.0832853i | ||||
\(683\) | 21.2999 | + | 19.7634i | 0.815019 | + | 0.756227i | 0.972899 | − | 0.231231i | \(-0.0742755\pi\) |
−0.157880 | + | 0.987458i | \(0.550466\pi\) | |||||||
\(684\) | 17.4649 | + | 11.9073i | 0.667786 | + | 0.455289i | ||||
\(685\) | 24.1762 | 0.923727 | ||||||||
\(686\) | 8.71886 | − | 11.3860i | 0.332888 | − | 0.434721i | ||||
\(687\) | −26.0502 | −0.993879 | ||||||||
\(688\) | 6.52464 | + | 4.44842i | 0.248750 | + | 0.169595i | ||||
\(689\) | −0.590155 | − | 0.547583i | −0.0224831 | − | 0.0208613i | ||||
\(690\) | −9.06271 | − | 23.0914i | −0.345011 | − | 0.879075i | ||||
\(691\) | 32.9059 | − | 10.1501i | 1.25180 | − | 0.386129i | 0.403175 | − | 0.915123i | \(-0.367907\pi\) |
0.848626 | + | 0.528994i | \(0.177431\pi\) | |||||||
\(692\) | 7.34888 | + | 32.1975i | 0.279362 | + | 1.22397i | ||||
\(693\) | −2.28206 | + | 1.26223i | −0.0866881 | + | 0.0479483i | ||||
\(694\) | −1.43265 | + | 6.27683i | −0.0543825 | + | 0.238265i | ||||
\(695\) | 0.732388 | + | 9.77304i | 0.0277811 | + | 0.370712i | ||||
\(696\) | 14.6497 | + | 4.51883i | 0.555295 | + | 0.171286i | ||||
\(697\) | −0.155446 | + | 2.07428i | −0.00588794 | + | 0.0785690i | ||||
\(698\) | 6.83251 | − | 17.4090i | 0.258614 | − | 0.658939i | ||||
\(699\) | −45.2089 | + | 21.7715i | −1.70996 | + | 0.823473i | ||||
\(700\) | −10.4233 | − | 0.973948i | −0.393965 | − | 0.0368118i | ||||
\(701\) | 17.9105 | + | 8.62523i | 0.676469 | + | 0.325770i | 0.740383 | − | 0.672185i | \(-0.234644\pi\) |
−0.0639140 | + | 0.997955i | \(0.520358\pi\) | |||||||
\(702\) | 0.479954 | − | 0.445332i | 0.0181147 | − | 0.0168080i | ||||
\(703\) | −40.9107 | + | 6.16630i | −1.54298 | + | 0.232566i | ||||
\(704\) | −0.444791 | + | 0.770400i | −0.0167637 | + | 0.0290355i | ||||
\(705\) | −20.5461 | − | 35.5868i | −0.773810 | − | 1.34028i | ||||
\(706\) | 7.77357 | + | 9.74775i | 0.292562 | + | 0.366861i | ||||
\(707\) | −19.1731 | − | 4.74829i | −0.721080 | − | 0.178578i | ||||
\(708\) | −1.77544 | + | 2.22633i | −0.0667252 | + | 0.0836707i | ||||
\(709\) | 45.0409 | + | 6.78882i | 1.69154 | + | 0.254959i | 0.922990 | − | 0.384824i | \(-0.125738\pi\) |
0.768555 | + | 0.639784i | \(0.220976\pi\) | |||||||
\(710\) | 3.39468 | − | 2.31445i | 0.127400 | − | 0.0868599i | ||||
\(711\) | −45.3107 | + | 30.8923i | −1.69928 | + | 1.15855i | ||||
\(712\) | 25.8776 | + | 3.90043i | 0.969806 | + | 0.146175i | ||||
\(713\) | 54.9531 | − | 68.9090i | 2.05801 | − | 2.58066i | ||||
\(714\) | −13.6354 | − | 11.2897i | −0.510291 | − | 0.422508i | ||||
\(715\) | 0.271666 | + | 0.340658i | 0.0101597 | + | 0.0127399i | ||||
\(716\) | −9.23849 | − | 16.0015i | −0.345259 | − | 0.598005i | ||||
\(717\) | −13.7658 | + | 23.8431i | −0.514094 | + | 0.890437i | ||||
\(718\) | 23.4161 | − | 3.52941i | 0.873882 | − | 0.131716i | ||||
\(719\) | 3.69165 | − | 3.42535i | 0.137675 | − | 0.127744i | −0.608329 | − | 0.793685i | \(-0.708160\pi\) |
0.746005 | + | 0.665941i | \(0.231970\pi\) | |||||||
\(720\) | 3.37705 | + | 1.62630i | 0.125855 | + | 0.0606087i | ||||
\(721\) | −15.0604 | + | 15.6449i | −0.560880 | + | 0.582645i | ||||
\(722\) | 1.02758 | − | 0.494857i | 0.0382426 | − | 0.0184167i | ||||
\(723\) | 8.08427 | − | 20.5984i | 0.300657 | − | 0.766062i | ||||
\(724\) | 0.0542151 | − | 0.723450i | 0.00201489 | − | 0.0268868i | ||||
\(725\) | 6.24532 | + | 1.92643i | 0.231945 | + | 0.0715457i | ||||
\(726\) | −1.58950 | − | 21.2104i | −0.0589919 | − | 0.787192i | ||||
\(727\) | 2.31268 | − | 10.1325i | 0.0857724 | − | 0.375794i | −0.913764 | − | 0.406246i | \(-0.866838\pi\) |
0.999536 | + | 0.0304523i | \(0.00969478\pi\) | |||||||
\(728\) | −4.64375 | − | 5.19290i | −0.172109 | − | 0.192462i | ||||
\(729\) | 7.26978 | + | 31.8510i | 0.269251 | + | 1.17967i | ||||
\(730\) | 1.81494 | − | 0.559834i | 0.0671739 | − | 0.0207204i | ||||
\(731\) | 12.9979 | + | 33.1182i | 0.480746 | + | 1.22492i | ||||
\(732\) | 6.56124 | + | 6.08794i | 0.242510 | + | 0.225017i | ||||
\(733\) | −0.00459242 | − | 0.00313106i | −0.000169625 | − | 0.000115648i | 0.563235 | − | 0.826297i | \(-0.309556\pi\) |
−0.563405 | + | 0.826181i | \(0.690509\pi\) | |||||||
\(734\) | 7.97728 | 0.294447 | ||||||||
\(735\) | −21.9911 | + | 13.8382i | −0.811154 | + | 0.510431i | ||||
\(736\) | −50.5421 | −1.86300 | ||||||||
\(737\) | −0.781013 | − | 0.532486i | −0.0287690 | − | 0.0196144i | ||||
\(738\) | −1.14738 | − | 1.06461i | −0.0422356 | − | 0.0391889i | ||||
\(739\) | 13.4264 | + | 34.2098i | 0.493896 | + | 1.25843i | 0.932963 | + | 0.359973i | \(0.117214\pi\) |
−0.439066 | + | 0.898455i | \(0.644691\pi\) | |||||||
\(740\) | −18.0437 | + | 5.56575i | −0.663301 | + | 0.204601i | ||||
\(741\) | 2.53434 | + | 11.1037i | 0.0931014 | + | 0.407904i | ||||
\(742\) | −0.457118 | − | 1.58472i | −0.0167813 | − | 0.0581769i | ||||
\(743\) | −4.19621 | + | 18.3848i | −0.153944 | + | 0.674473i | 0.837772 | + | 0.546021i | \(0.183858\pi\) |
−0.991716 | + | 0.128452i | \(0.958999\pi\) | |||||||
\(744\) | −5.05799 | − | 67.4942i | −0.185435 | − | 2.47446i | ||||
\(745\) | 20.1234 | + | 6.20724i | 0.737263 | + | 0.227416i | ||||
\(746\) | −0.850259 | + | 11.3459i | −0.0311302 | + | 0.415404i | ||||
\(747\) | 13.0116 | − | 33.1531i | 0.476071 | − | 1.21301i | ||||
\(748\) | 1.27980 | − | 0.616319i | 0.0467941 | − | 0.0225348i | ||||
\(749\) | −25.2007 | − | 38.4619i | −0.920813 | − | 1.40537i | ||||
\(750\) | −20.2645 | − | 9.75887i | −0.739955 | − | 0.356343i | ||||
\(751\) | 18.8260 | − | 17.4679i | 0.686969 | − | 0.637414i | −0.257399 | − | 0.966305i | \(-0.582865\pi\) |
0.944368 | + | 0.328891i | \(0.106675\pi\) | |||||||
\(752\) | −8.34109 | + | 1.25722i | −0.304168 | + | 0.0458460i | ||||
\(753\) | −5.00881 | + | 8.67552i | −0.182531 | + | 0.316153i | ||||
\(754\) | 0.895569 | + | 1.55117i | 0.0326147 | + | 0.0564903i | ||||
\(755\) | 4.03128 | + | 5.05507i | 0.146713 | + | 0.183973i | ||||
\(756\) | −3.06660 | + | 0.640907i | −0.111531 | + | 0.0233095i | ||||
\(757\) | 14.2044 | − | 17.8117i | 0.516266 | − | 0.647377i | −0.453545 | − | 0.891233i | \(-0.649841\pi\) |
0.969812 | + | 0.243856i | \(0.0784124\pi\) | |||||||
\(758\) | 11.6318 | + | 1.75322i | 0.422488 | + | 0.0636798i | ||||
\(759\) | −5.30367 | + | 3.61598i | −0.192511 | + | 0.131252i | ||||
\(760\) | 14.5157 | − | 9.89662i | 0.526539 | − | 0.358988i | ||||
\(761\) | −45.6833 | − | 6.88565i | −1.65602 | − | 0.249605i | −0.746536 | − | 0.665345i | \(-0.768284\pi\) |
−0.909483 | + | 0.415741i | \(0.863522\pi\) | |||||||
\(762\) | 3.64478 | − | 4.57041i | 0.132036 | − | 0.165568i | ||||
\(763\) | −19.4440 | − | 42.3487i | −0.703922 | − | 1.53313i | ||||
\(764\) | −17.2946 | − | 21.6868i | −0.625698 | − | 0.784601i | ||||
\(765\) | 8.44351 | + | 14.6246i | 0.305276 | + | 0.528753i | ||||
\(766\) | −14.2802 | + | 24.7341i | −0.515966 | + | 0.893679i | ||||
\(767\) | −0.798803 | + | 0.120400i | −0.0288431 | + | 0.00434740i | ||||
\(768\) | −24.5139 | + | 22.7455i | −0.884568 | + | 0.820759i | ||||
\(769\) | 10.4269 | + | 5.02133i | 0.376003 | + | 0.181074i | 0.612334 | − | 0.790599i | \(-0.290231\pi\) |
−0.236331 | + | 0.971673i | \(0.575945\pi\) | |||||||
\(770\) | 0.116807 | + | 0.884978i | 0.00420945 | + | 0.0318924i | ||||
\(771\) | −45.1698 | + | 21.7526i | −1.62675 | + | 0.783402i | ||||
\(772\) | 9.67397 | − | 24.6489i | 0.348174 | − | 0.887132i | ||||
\(773\) | 0.682422 | − | 9.10629i | 0.0245450 | − | 0.327531i | −0.971392 | − | 0.237481i | \(-0.923678\pi\) |
0.995937 | − | 0.0900498i | \(-0.0287026\pi\) | |||||||
\(774\) | −25.5816 | − | 7.89089i | −0.919513 | − | 0.283632i | ||||
\(775\) | −2.15628 | − | 28.7735i | −0.0774558 | − | 1.03358i | ||||
\(776\) | −6.22391 | + | 27.2687i | −0.223425 | + | 0.978891i | ||||
\(777\) | 35.2215 | − | 49.6749i | 1.26357 | − | 1.78208i | ||||
\(778\) | −0.520962 | − | 2.28248i | −0.0186774 | − | 0.0818310i | ||||
\(779\) | 2.61989 | − | 0.808128i | 0.0938672 | − | 0.0289542i | ||||
\(780\) | 1.89907 | + | 4.83875i | 0.0679975 | + | 0.173255i | ||||
\(781\) | −0.779363 | − | 0.723143i | −0.0278878 | − | 0.0258761i | ||||
\(782\) | −18.9554 | − | 12.9236i | −0.677843 | − | 0.462146i | ||||
\(783\) | 1.95586 | 0.0698967 | ||||||||
\(784\) | 0.995064 | + | 5.24005i | 0.0355380 | + | 0.187145i | ||||
\(785\) | 16.4089 | 0.585658 | ||||||||
\(786\) | −11.1119 | − | 7.57598i | −0.396349 | − | 0.270226i | ||||
\(787\) | −3.54578 | − | 3.29000i | −0.126393 | − | 0.117276i | 0.614444 | − | 0.788961i | \(-0.289380\pi\) |
−0.740837 | + | 0.671685i | \(0.765571\pi\) | |||||||
\(788\) | 2.01687 | + | 5.13890i | 0.0718480 | + | 0.183066i | ||||
\(789\) | −33.3808 | + | 10.2966i | −1.18839 | + | 0.366569i | ||||
\(790\) | 4.17697 | + | 18.3005i | 0.148610 | + | 0.651103i | ||||
\(791\) | 28.3997 | − | 1.60432i | 1.00978 | − | 0.0570432i | ||||
\(792\) | −0.577521 | + | 2.53028i | −0.0205213 | + | 0.0899098i | ||||
\(793\) | 0.189753 | + | 2.53207i | 0.00673831 | + | 0.0899165i | ||||
\(794\) | 4.93993 | + | 1.52377i | 0.175311 | + | 0.0540764i | ||||
\(795\) | −0.223313 | + | 2.97991i | −0.00792010 | + | 0.105686i | ||||
\(796\) | 11.1185 | − | 28.3295i | 0.394085 | − | 1.00411i | ||||
\(797\) | 45.5070 | − | 21.9150i | 1.61194 | − | 0.776270i | 0.612047 | − | 0.790821i | \(-0.290346\pi\) |
0.999894 | + | 0.0145514i | \(0.00463203\pi\) | |||||||
\(798\) | −7.28592 | + | 22.1664i | −0.257919 | + | 0.784680i | ||||
\(799\) | −34.2402 | − | 16.4892i | −1.21133 | − | 0.583346i | ||||
\(800\) | −12.1293 | + | 11.2543i | −0.428834 | + | 0.397900i | ||||
\(801\) | 32.7854 | − | 4.94161i | 1.15842 | − | 0.174603i | ||||
\(802\) | 4.81655 | − | 8.34251i | 0.170078 | − | 0.294584i | ||||
\(803\) | −0.245742 | − | 0.425638i | −0.00867205 | − | 0.0150204i | ||||
\(804\) | −7.03103 | − | 8.81663i | −0.247965 | − | 0.310939i | ||||
\(805\) | −26.7074 | + | 20.5074i | −0.941313 | + | 0.722790i | ||||
\(806\) | 4.93034 | − | 6.18244i | 0.173664 | − | 0.217767i | ||||
\(807\) | 39.1019 | + | 5.89367i | 1.37645 | + | 0.207467i | ||||
\(808\) | −16.2418 | + | 11.0735i | −0.571385 | + | 0.389564i | ||||
\(809\) | −27.8246 | + | 18.9705i | −0.978262 | + | 0.666968i | −0.943133 | − | 0.332415i | \(-0.892137\pi\) |
−0.0351291 | + | 0.999383i | \(0.511184\pi\) | |||||||
\(810\) | 8.89665 | + | 1.34095i | 0.312597 | + | 0.0471163i | ||||
\(811\) | −0.718470 | + | 0.900933i | −0.0252289 | + | 0.0316360i | −0.794286 | − | 0.607544i | \(-0.792155\pi\) |
0.769057 | + | 0.639180i | \(0.220726\pi\) | |||||||
\(812\) | 0.157422 | − | 8.56901i | 0.00552443 | − | 0.300713i | ||||
\(813\) | −20.4666 | − | 25.6643i | −0.717796 | − | 0.900088i | ||||
\(814\) | −1.04603 | − | 1.81178i | −0.0366635 | − | 0.0635030i | ||||
\(815\) | −3.55169 | + | 6.15171i | −0.124410 | + | 0.215485i | ||||
\(816\) | 6.51046 | − | 0.981294i | 0.227912 | − | 0.0343522i | ||||
\(817\) | 34.3752 | − | 31.8956i | 1.20264 | − | 1.11588i | ||||
\(818\) | −2.59497 | − | 1.24967i | −0.0907311 | − | 0.0436938i | ||||
\(819\) | −7.56120 | − | 4.55266i | −0.264210 | − | 0.159083i | ||||
\(820\) | 1.12739 | − | 0.542925i | 0.0393703 | − | 0.0189597i | ||||
\(821\) | −13.4136 | + | 34.1772i | −0.468137 | + | 1.19279i | 0.480660 | + | 0.876907i | \(0.340397\pi\) |
−0.948797 | + | 0.315886i | \(0.897698\pi\) | |||||||
\(822\) | −2.38800 | + | 31.8657i | −0.0832911 | + | 1.11144i | ||||
\(823\) | −44.7202 | − | 13.7943i | −1.55885 | − | 0.480841i | −0.608899 | − | 0.793248i | \(-0.708388\pi\) |
−0.949948 | + | 0.312407i | \(0.898865\pi\) | |||||||
\(824\) | 1.61504 | + | 21.5512i | 0.0562625 | + | 0.750771i | ||||
\(825\) | −0.467615 | + | 2.04876i | −0.0162803 | + | 0.0713285i | ||||
\(826\) | −1.52922 | − | 0.632831i | −0.0532083 | − | 0.0220190i | ||||
\(827\) | 0.844938 | + | 3.70191i | 0.0293814 | + | 0.128728i | 0.987492 | − | 0.157671i | \(-0.0503987\pi\) |
−0.958110 | + | 0.286400i | \(0.907542\pi\) | |||||||
\(828\) | −38.5281 | + | 11.8843i | −1.33894 | + | 0.413009i | ||||
\(829\) | −9.79996 | − | 24.9699i | −0.340367 | − | 0.867240i | −0.993894 | − | 0.110337i | \(-0.964807\pi\) |
0.653528 | − | 0.756903i | \(-0.273288\pi\) | |||||||
\(830\) | −8.93642 | − | 8.29179i | −0.310188 | − | 0.287812i | ||||
\(831\) | 21.8288 | + | 14.8826i | 0.757233 | + | 0.516273i | ||||
\(832\) | −3.01067 | −0.104376 | ||||||||
\(833\) | −9.59481 | + | 22.0313i | −0.332440 | + | 0.763340i | ||||
\(834\) | −12.9538 | −0.448552 | ||||||||
\(835\) | 2.78677 | + | 1.89999i | 0.0964400 | + | 0.0657517i | ||||
\(836\) | −1.37247 | − | 1.27346i | −0.0474677 | − | 0.0440436i | ||||
\(837\) | −3.15467 | − | 8.03797i | −0.109041 | − | 0.277833i | ||||
\(838\) | −3.22694 | + | 0.995379i | −0.111473 | + | 0.0343848i | ||||
\(839\) | −8.14995 | − | 35.7073i | −0.281368 | − | 1.23275i | −0.896041 | − | 0.443971i | \(-0.853569\pi\) |
0.614674 | − | 0.788781i | \(-0.289288\pi\) | |||||||
\(840\) | −4.32295 | + | 25.4941i | −0.149156 | + | 0.879631i | ||||
\(841\) | 5.26249 | − | 23.0565i | 0.181465 | − | 0.795051i | ||||
\(842\) | 1.74845 | + | 23.3314i | 0.0602556 | + | 0.804055i | ||||
\(843\) | −6.35873 | − | 1.96141i | −0.219006 | − | 0.0675545i | ||||
\(844\) | 1.05993 | − | 14.1437i | 0.0364842 | − | 0.486847i | ||||
\(845\) | −0.538743 | + | 1.37269i | −0.0185333 | + | 0.0472221i | ||||
\(846\) | 25.7646 | − | 12.4076i | 0.885807 | − | 0.426582i | ||||
\(847\) | −27.0657 | + | 10.0528i | −0.929987 | + | 0.345418i | ||||
\(848\) | 0.552676 | + | 0.266155i | 0.0189790 | + | 0.00913979i | ||||
\(849\) | 47.1478 | − | 43.7467i | 1.61811 | − | 1.50138i | ||||
\(850\) | −7.42669 | + | 1.11939i | −0.254734 | + | 0.0383949i | ||||
\(851\) | 39.4584 | − | 68.3439i | 1.35262 | − | 2.34280i | ||||
\(852\) | −6.34179 | − | 10.9843i | −0.217266 | − | 0.376316i | ||||
\(853\) | 27.4774 | + | 34.4556i | 0.940810 | + | 1.17974i | 0.983547 | + | 0.180652i | \(0.0578206\pi\) |
−0.0427375 | + | 0.999086i | \(0.513608\pi\) | |||||||
\(854\) | −2.34276 | + | 4.64458i | −0.0801677 | + | 0.158934i | ||||
\(855\) | 13.8777 | − | 17.4021i | 0.474607 | − | 0.595139i | ||||
\(856\) | −45.2507 | − | 6.82044i | −1.54664 | − | 0.233118i | ||||
\(857\) | 8.26312 | − | 5.63370i | 0.282263 | − | 0.192444i | −0.413910 | − | 0.910318i | \(-0.635837\pi\) |
0.696173 | + | 0.717874i | \(0.254885\pi\) | |||||||
\(858\) | −0.475840 | + | 0.324422i | −0.0162449 | + | 0.0110756i | ||||
\(859\) | 41.7553 | + | 6.29359i | 1.42467 | + | 0.214735i | 0.815708 | − | 0.578464i | \(-0.196348\pi\) |
0.608963 | + | 0.793199i | \(0.291586\pi\) | |||||||
\(860\) | 13.3441 | − | 16.7329i | 0.455028 | − | 0.570588i | ||||
\(861\) | −1.81736 | + | 3.60296i | −0.0619356 | + | 0.122789i | ||||
\(862\) | −11.2248 | − | 14.0755i | −0.382318 | − | 0.479412i | ||||
\(863\) | −15.7485 | − | 27.2772i | −0.536086 | − | 0.928528i | −0.999110 | − | 0.0421824i | \(-0.986569\pi\) |
0.463024 | − | 0.886346i | \(-0.346764\pi\) | |||||||
\(864\) | −2.47580 | + | 4.28821i | −0.0842285 | + | 0.145888i | ||||
\(865\) | 34.3875 | − | 5.18308i | 1.16921 | − | 0.176230i | ||||
\(866\) | 21.1865 | − | 19.6582i | 0.719948 | − | 0.668014i | ||||
\(867\) | −11.8280 | − | 5.69608i | −0.401701 | − | 0.193449i | ||||
\(868\) | −35.4699 | + | 13.1743i | −1.20393 | + | 0.447165i | ||||
\(869\) | 4.37635 | − | 2.10754i | 0.148457 | − | 0.0714934i | ||||
\(870\) | 2.42893 | − | 6.18881i | 0.0823484 | − | 0.209820i | ||||
\(871\) | 0.239070 | − | 3.19017i | 0.00810059 | − | 0.108095i | ||||
\(872\) | −44.3151 | − | 13.6694i | −1.50070 | − | 0.462905i | ||||
\(873\) | 2.64816 | + | 35.3372i | 0.0896266 | + | 1.19598i | ||||
\(874\) | −6.72872 | + | 29.4805i | −0.227602 | + | 0.997192i | ||||
\(875\) | −5.10418 | + | 30.1014i | −0.172553 | + | 1.01761i | ||||
\(876\) | −1.30472 | − | 5.71635i | −0.0440824 | − | 0.193137i | ||||
\(877\) | 2.47519 | − | 0.763494i | 0.0835811 | − | 0.0257814i | −0.252683 | − | 0.967549i | \(-0.581313\pi\) |
0.336264 | + | 0.941768i | \(0.390837\pi\) | |||||||
\(878\) | 8.90459 | + | 22.6885i | 0.300515 | + | 0.765701i | ||||
\(879\) | 12.9990 | + | 12.0614i | 0.438447 | + | 0.406819i | ||||
\(880\) | −0.274310 | − | 0.187021i | −0.00924697 | − | 0.00630448i | ||||
\(881\) | −19.0132 | −0.640570 | −0.320285 | − | 0.947321i | \(-0.603779\pi\) | ||||
−0.320285 | + | 0.947321i | \(0.603779\pi\) | |||||||
\(882\) | −8.45963 | − | 15.9808i | −0.284851 | − | 0.538101i | ||||
\(883\) | 5.50868 | 0.185382 | 0.0926909 | − | 0.995695i | \(-0.470453\pi\) | ||||
0.0926909 | + | 0.995695i | \(0.470453\pi\) | |||||||
\(884\) | 3.97205 | + | 2.70810i | 0.133595 | + | 0.0910833i | ||||
\(885\) | 2.19806 | + | 2.03950i | 0.0738871 | + | 0.0685572i | ||||
\(886\) | 2.17091 | + | 5.53139i | 0.0729331 | + | 0.185831i | ||||
\(887\) | 16.6975 | − | 5.15049i | 0.560646 | − | 0.172937i | −0.00146365 | − | 0.999999i | \(-0.500466\pi\) |
0.562110 | + | 0.827062i | \(0.309990\pi\) | |||||||
\(888\) | −13.4853 | − | 59.0829i | −0.452536 | − | 1.98269i | ||||
\(889\) | −7.33218 | − | 3.03425i | −0.245913 | − | 0.101765i | ||||
\(890\) | 2.52537 | − | 11.0644i | 0.0846507 | − | 0.370879i | ||||
\(891\) | −0.173985 | − | 2.32167i | −0.00582872 | − | 0.0777788i | ||||
\(892\) | 11.3309 | + | 3.49513i | 0.379388 | + | 0.117026i | ||||
\(893\) | −3.74332 | + | 49.9511i | −0.125265 | + | 1.67155i | ||||
\(894\) | −10.1692 | + | 25.9106i | −0.340108 | + | 0.866581i | ||||
\(895\) | −17.5295 | + | 8.44176i | −0.585946 | + | 0.282177i | ||||
\(896\) | 21.2629 | + | 12.8026i | 0.710343 | + | 0.427703i | ||||
\(897\) | −19.5730 | − | 9.42588i | −0.653525 | − | 0.314721i | ||||
\(898\) | 5.17192 | − | 4.79884i | 0.172589 | − | 0.160139i | ||||
\(899\) | 23.3583 | − | 3.52070i | 0.779044 | − | 0.117422i | ||||
\(900\) | −6.59979 | + | 11.4312i | −0.219993 | + | 0.381039i | ||||
\(901\) | 1.38183 | + | 2.39341i | 0.0460356 | + | 0.0797360i | ||||
\(902\) | 0.0864388 | + | 0.108391i | 0.00287810 | + | 0.00360902i | ||||
\(903\) | −1.26776 | + | 69.0083i | −0.0421883 | + | 2.29645i | ||||
\(904\) | 17.6500 | − | 22.1325i | 0.587032 | − | 0.736114i | ||||
\(905\) | −0.755397 | − | 0.113858i | −0.0251102 | − | 0.00378476i | ||||
\(906\) | −7.06106 | + | 4.81415i | −0.234588 | + | 0.159939i | ||||
\(907\) | −43.6106 | + | 29.7332i | −1.44807 | + | 0.987276i | −0.452647 | + | 0.891690i | \(0.649520\pi\) |
−0.995421 | + | 0.0955860i | \(0.969528\pi\) | |||||||
\(908\) | 27.1480 | + | 4.09190i | 0.900938 | + | 0.135795i | ||||
\(909\) | −15.5280 | + | 19.4715i | −0.515030 | + | 0.645827i | ||||
\(910\) | −2.39616 | + | 1.83990i | −0.0794320 | + | 0.0609921i | ||||
\(911\) | −7.16635 | − | 8.98632i | −0.237432 | − | 0.297730i | 0.648812 | − | 0.760948i | \(-0.275266\pi\) |
−0.886244 | + | 0.463218i | \(0.846695\pi\) | |||||||
\(912\) | −4.33905 | − | 7.51545i | −0.143680 | − | 0.248861i | ||||
\(913\) | −1.57729 | + | 2.73194i | −0.0522006 | + | 0.0904140i | ||||
\(914\) | 20.1859 | − | 3.04254i | 0.667691 | − | 0.100638i | ||||
\(915\) | 6.90899 | − | 6.41060i | 0.228404 | − | 0.211928i | ||||
\(916\) | 13.0578 | + | 6.28832i | 0.431443 | + | 0.207772i | ||||
\(917\) | −5.70049 | + | 17.3429i | −0.188247 | + | 0.572714i | ||||
\(918\) | −2.02502 | + | 0.975199i | −0.0668357 | + | 0.0321864i | ||||
\(919\) | 2.17931 | − | 5.55278i | 0.0718887 | − | 0.183169i | −0.890413 | − | 0.455153i | \(-0.849584\pi\) |
0.962302 | + | 0.271984i | \(0.0876797\pi\) | |||||||
\(920\) | −2.50427 | + | 33.4172i | −0.0825634 | + | 1.10173i | ||||
\(921\) | −5.94922 | − | 1.83509i | −0.196033 | − | 0.0604683i | ||||
\(922\) | −0.672762 | − | 8.97738i | −0.0221562 | − | 0.295654i | ||||
\(923\) | 0.800670 | − | 3.50796i | 0.0263544 | − | 0.115466i | ||||
\(924\) | 2.75131 | − | 0.155423i | 0.0905113 | − | 0.00511306i | ||||
\(925\) | −5.74892 | − | 25.1877i | −0.189023 | − | 0.828166i | ||||
\(926\) | −4.82482 | + | 1.48826i | −0.158553 | + | 0.0489072i | ||||
\(927\) | 10.0033 | + | 25.4879i | 0.328550 | + | 0.837133i | ||||
\(928\) | −9.92989 | − | 9.21359i | −0.325965 | − | 0.302451i | ||||
\(929\) | −4.60817 | − | 3.14180i | −0.151189 | − | 0.103079i | 0.485363 | − | 0.874313i | \(-0.338688\pi\) |
−0.636552 | + | 0.771234i | \(0.719640\pi\) | |||||||
\(930\) | −29.3518 | −0.962483 | ||||||||
\(931\) | 31.6515 | + | 1.16334i | 1.03734 | + | 0.0381269i | ||||
\(932\) | 27.9167 | 0.914442 | ||||||||
\(933\) | 3.74591 | + | 2.55392i | 0.122636 | + | 0.0836115i | ||||
\(934\) | −0.850425 | − | 0.789079i | −0.0278268 | − | 0.0258195i | ||||
\(935\) | −0.546461 | − | 1.39236i | −0.0178712 | − | 0.0455350i | ||||
\(936\) | −8.39340 | + | 2.58902i | −0.274347 | + | 0.0846248i | ||||
\(937\) | 7.82361 | + | 34.2775i | 0.255586 | + | 1.11980i | 0.925915 | + | 0.377732i | \(0.123296\pi\) |
−0.670328 | + | 0.742065i | \(0.733847\pi\) | |||||||
\(938\) | 3.79085 | − | 5.34645i | 0.123776 | − | 0.174568i | ||||
\(939\) | 4.55611 | − | 19.9616i | 0.148683 | − | 0.651422i | ||||
\(940\) | 1.70846 | + | 22.7978i | 0.0557237 | + | 0.743581i | ||||
\(941\) | 4.25975 | + | 1.31396i | 0.138864 | + | 0.0428338i | 0.363408 | − | 0.931630i | \(-0.381613\pi\) |
−0.224544 | + | 0.974464i | \(0.572089\pi\) | |||||||
\(942\) | −1.62078 | + | 21.6278i | −0.0528079 | + | 0.704673i | ||||
\(943\) | −1.91061 | + | 4.86814i | −0.0622179 | + | 0.158529i | ||||
\(944\) | 0.554571 | − | 0.267067i | 0.0180498 | − | 0.00869231i | ||||
\(945\) | 0.431675 | + | 3.27053i | 0.0140424 | + | 0.106390i | ||||
\(946\) | 2.13640 | + | 1.02883i | 0.0694602 | + | 0.0334503i | ||||
\(947\) | 34.4466 | − | 31.9618i | 1.11936 | − | 1.03862i | 0.120418 | − | 0.992723i | \(-0.461576\pi\) |
0.998946 | − | 0.0458954i | \(-0.0146141\pi\) | |||||||
\(948\) | 57.3008 | − | 8.63671i | 1.86104 | − | 0.280507i | ||||
\(949\) | 0.831681 | − | 1.44051i | 0.0269975 | − | 0.0467611i | ||||
\(950\) | 4.94969 | + | 8.57312i | 0.160589 | + | 0.278149i | ||||
\(951\) | −12.1827 | − | 15.2767i | −0.395052 | − | 0.495380i | ||||
\(952\) | 9.97864 | + | 21.7333i | 0.323410 | + | 0.704379i | ||||
\(953\) | −16.0002 | + | 20.0636i | −0.518298 | + | 0.649925i | −0.970247 | − | 0.242119i | \(-0.922158\pi\) |
0.451948 | + | 0.892044i | \(0.350729\pi\) | |||||||
\(954\) | −2.05635 | − | 0.309944i | −0.0665767 | − | 0.0100348i | ||||
\(955\) | −24.1333 | + | 16.4538i | −0.780935 | + | 0.532432i | ||||
\(956\) | 12.6557 | − | 8.62854i | 0.409316 | − | 0.279067i | ||||
\(957\) | −1.70118 | − | 0.256411i | −0.0549913 | − | 0.00828861i | ||||
\(958\) | −0.426958 | + | 0.535388i | −0.0137944 | + | 0.0172976i | ||||
\(959\) | 42.4592 | − | 8.87380i | 1.37108 | − | 0.286550i | ||||
\(960\) | 6.96755 | + | 8.73703i | 0.224877 | + | 0.281986i | ||||
\(961\) | −36.6444 | − | 63.4700i | −1.18208 | − | 2.04742i | ||||
\(962\) | 3.54016 | − | 6.13174i | 0.114139 | − | 0.197695i | ||||
\(963\) | −57.3299 | + | 8.64109i | −1.84743 | + | 0.278455i | ||||
\(964\) | −9.02457 | + | 8.37358i | −0.290662 | + | 0.269695i | ||||
\(965\) | −25.1214 | − | 12.0978i | −0.808688 | − | 0.389444i | ||||
\(966\) | −24.3919 | − | 37.2275i | −0.784795 | − | 1.19778i | ||||
\(967\) | 6.37722 | − | 3.07111i | 0.205077 | − | 0.0987601i | −0.328526 | − | 0.944495i | \(-0.606552\pi\) |
0.533603 | + | 0.845735i | \(0.320838\pi\) | |||||||
\(968\) | −10.4976 | + | 26.7474i | −0.337405 | + | 0.859694i | ||||
\(969\) | 2.92176 | − | 38.9882i | 0.0938606 | − | 1.25248i | ||||
\(970\) | 11.5907 | + | 3.57525i | 0.372154 | + | 0.114794i | ||||
\(971\) | −2.88746 | − | 38.5305i | −0.0926631 | − | 1.23650i | −0.828751 | − | 0.559617i | \(-0.810948\pi\) |
0.736088 | − | 0.676886i | \(-0.236671\pi\) | |||||||
\(972\) | 6.97097 | − | 30.5418i | 0.223594 | − | 0.979629i | ||||
\(973\) | 4.87340 | + | 16.8949i | 0.156234 | + | 0.541627i | ||||
\(974\) | 4.98058 | + | 21.8213i | 0.159588 | + | 0.699200i | ||||
\(975\) | −6.79609 | + | 2.09632i | −0.217649 | + | 0.0671358i | ||||
\(976\) | −0.706839 | − | 1.80100i | −0.0226254 | − | 0.0576485i | ||||
\(977\) | −1.01605 | − | 0.942760i | −0.0325064 | − | 0.0301616i | 0.663752 | − | 0.747952i | \(-0.268963\pi\) |
−0.696259 | + | 0.717791i | \(0.745153\pi\) | |||||||
\(978\) | −7.75748 | − | 5.28896i | −0.248057 | − | 0.169122i | ||||
\(979\) | −2.93675 | −0.0938588 | ||||||||
\(980\) | 14.3636 | − | 1.62802i | 0.458829 | − | 0.0520051i | ||||
\(981\) | −58.7549 | −1.87590 | ||||||||
\(982\) | 11.2130 | + | 7.64492i | 0.357822 | + | 0.243959i | ||||
\(983\) | 31.5983 | + | 29.3190i | 1.00783 | + | 0.935129i | 0.997897 | − | 0.0648213i | \(-0.0206477\pi\) |
0.00993288 | + | 0.999951i | \(0.496838\pi\) | |||||||
\(984\) | 1.46721 | + | 3.73838i | 0.0467728 | + | 0.119175i | ||||
\(985\) | 5.55484 | − | 1.71344i | 0.176992 | − | 0.0545948i | ||||
\(986\) | −1.36822 | − | 5.99455i | −0.0435729 | − | 0.190905i | ||||
\(987\) | −49.1457 | − | 54.9575i | −1.56433 | − | 1.74932i | ||||
\(988\) | 1.40999 | − | 6.17756i | 0.0448577 | − | 0.196534i | ||||
\(989\) | 6.68437 | + | 89.1967i | 0.212551 | + | 2.83629i | ||||
\(990\) | 1.07551 | + | 0.331749i | 0.0341818 | + | 0.0105437i | ||||
\(991\) | 3.08758 | − | 41.2009i | 0.0980802 | − | 1.30879i | −0.703411 | − | 0.710783i | \(-0.748341\pi\) |
0.801491 | − | 0.598006i | \(-0.204040\pi\) | |||||||
\(992\) | −21.8487 | + | 55.6697i | −0.693698 | + | 1.76751i | ||||
\(993\) | −27.6456 | + | 13.3134i | −0.877305 | + | 0.422488i | ||||
\(994\) | 5.11235 | − | 5.31073i | 0.162154 | − | 0.168446i | ||||
\(995\) | −28.8727 | − | 13.9043i | −0.915325 | − | 0.440797i | ||||
\(996\) | −27.5875 | + | 25.5974i | −0.874142 | + | 0.811086i | ||||
\(997\) | 52.3598 | − | 7.89196i | 1.65825 | − | 0.249941i | 0.747910 | − | 0.663801i | \(-0.231058\pi\) |
0.910341 | + | 0.413860i | \(0.135820\pi\) | |||||||
\(998\) | −10.3462 | + | 17.9201i | −0.327502 | + | 0.567250i | ||||
\(999\) | −3.86573 | − | 6.69565i | −0.122306 | − | 0.211841i |
(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 | 637.2.bl.a.53.11 | ✓ | 324 | |
49.37 | even | 21 | inner | 637.2.bl.a.625.11 | yes | 324 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
637.2.bl.a.53.11 | ✓ | 324 | 1.1 | even | 1 | trivial | |
637.2.bl.a.625.11 | yes | 324 | 49.37 | even | 21 | inner |