Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [322,2,Mod(29,322)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(322, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 18]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("322.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 322 = 2 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 322.i (of order \(11\), degree \(10\), 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: | \(2.57118294509\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Coefficient field: | \(\Q(\zeta_{22})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} - x^{9} + x^{8} - x^{7} + x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 169.1 | ||
Root | \(-0.415415 + 0.909632i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 322.169 |
Dual form | 322.2.i.a.141.1 |
$q$-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 \(\left(\mathbb{Z}/322\mathbb{Z}\right)^\times\).
\(n\) | \(185\) | \(281\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{3}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.142315 | − | 0.989821i | 0.100632 | − | 0.699909i | ||||
\(3\) | −0.128663 | − | 0.281733i | −0.0742836 | − | 0.162658i | 0.868847 | − | 0.495080i | \(-0.164861\pi\) |
−0.943131 | + | 0.332422i | \(0.892134\pi\) | |||||||
\(4\) | −0.959493 | − | 0.281733i | −0.479746 | − | 0.140866i | ||||
\(5\) | 1.01255 | + | 1.16854i | 0.452824 | + | 0.522587i | 0.935555 | − | 0.353182i | \(-0.114900\pi\) |
−0.482730 | + | 0.875769i | \(0.660355\pi\) | |||||||
\(6\) | −0.297176 | + | 0.0872586i | −0.121321 | + | 0.0356232i | ||||
\(7\) | −0.841254 | − | 0.540641i | −0.317964 | − | 0.204343i | ||||
\(8\) | −0.415415 | + | 0.909632i | −0.146871 | + | 0.321603i | ||||
\(9\) | 1.90176 | − | 2.19475i | 0.633921 | − | 0.731584i | ||||
\(10\) | 1.30075 | − | 0.835939i | 0.411332 | − | 0.264347i | ||||
\(11\) | −0.671292 | − | 4.66894i | −0.202402 | − | 1.40774i | −0.797128 | − | 0.603810i | \(-0.793649\pi\) |
0.594726 | − | 0.803929i | \(-0.297261\pi\) | |||||||
\(12\) | 0.0440780 | + | 0.306569i | 0.0127242 | + | 0.0884988i | ||||
\(13\) | 2.37491 | − | 1.52626i | 0.658681 | − | 0.423309i | −0.168148 | − | 0.985762i | \(-0.553779\pi\) |
0.826829 | + | 0.562453i | \(0.190142\pi\) | |||||||
\(14\) | −0.654861 | + | 0.755750i | −0.175019 | + | 0.201983i | ||||
\(15\) | 0.198939 | − | 0.435615i | 0.0513658 | − | 0.112475i | ||||
\(16\) | 0.841254 | + | 0.540641i | 0.210313 | + | 0.135160i | ||||
\(17\) | 4.59616 | − | 1.34955i | 1.11473 | − | 0.327315i | 0.328042 | − | 0.944663i | \(-0.393611\pi\) |
0.786690 | + | 0.617348i | \(0.211793\pi\) | |||||||
\(18\) | −1.90176 | − | 2.19475i | −0.448250 | − | 0.517308i | ||||
\(19\) | −0.601808 | − | 0.176707i | −0.138064 | − | 0.0405393i | 0.211970 | − | 0.977276i | \(-0.432012\pi\) |
−0.350035 | + | 0.936737i | \(0.613830\pi\) | |||||||
\(20\) | −0.642315 | − | 1.40647i | −0.143626 | − | 0.314497i | ||||
\(21\) | −0.0440780 | + | 0.306569i | −0.00961860 | + | 0.0668988i | ||||
\(22\) | −4.71695 | −1.00566 | ||||||||
\(23\) | −1.51037 | + | 4.55179i | −0.314934 | + | 0.949114i | ||||
\(24\) | 0.309721 | 0.0632216 | ||||||||
\(25\) | 0.371337 | − | 2.58271i | 0.0742674 | − | 0.516541i | ||||
\(26\) | −1.17274 | − | 2.56794i | −0.229993 | − | 0.503615i | ||||
\(27\) | −1.75455 | − | 0.515181i | −0.337663 | − | 0.0991467i | ||||
\(28\) | 0.654861 | + | 0.755750i | 0.123757 | + | 0.142823i | ||||
\(29\) | −3.14412 | + | 0.923198i | −0.583849 | + | 0.171433i | −0.560301 | − | 0.828289i | \(-0.689314\pi\) |
−0.0235481 | + | 0.999723i | \(0.507496\pi\) | |||||||
\(30\) | −0.402869 | − | 0.258908i | −0.0735535 | − | 0.0472700i | ||||
\(31\) | −1.35168 | + | 2.95976i | −0.242768 | + | 0.531589i | −0.991317 | − | 0.131491i | \(-0.958024\pi\) |
0.748549 | + | 0.663079i | \(0.230751\pi\) | |||||||
\(32\) | 0.654861 | − | 0.755750i | 0.115764 | − | 0.133599i | ||||
\(33\) | −1.22902 | + | 0.789845i | −0.213945 | + | 0.137494i | ||||
\(34\) | −0.681716 | − | 4.74144i | −0.116913 | − | 0.813150i | ||||
\(35\) | −0.220047 | − | 1.53046i | −0.0371948 | − | 0.258695i | ||||
\(36\) | −2.44306 | + | 1.57006i | −0.407177 | + | 0.261677i | ||||
\(37\) | −1.83926 | + | 2.12262i | −0.302373 | + | 0.348957i | −0.886520 | − | 0.462691i | \(-0.846884\pi\) |
0.584146 | + | 0.811648i | \(0.301429\pi\) | |||||||
\(38\) | −0.260554 | + | 0.570534i | −0.0422675 | + | 0.0925529i | ||||
\(39\) | −0.735560 | − | 0.472716i | −0.117784 | − | 0.0756951i | ||||
\(40\) | −1.48357 | + | 0.435615i | −0.234573 | + | 0.0688768i | ||||
\(41\) | 1.92986 | + | 2.22717i | 0.301393 | + | 0.347826i | 0.886164 | − | 0.463373i | \(-0.153361\pi\) |
−0.584770 | + | 0.811199i | \(0.698815\pi\) | |||||||
\(42\) | 0.297176 | + | 0.0872586i | 0.0458552 | + | 0.0134643i | ||||
\(43\) | 1.65450 | + | 3.62285i | 0.252309 | + | 0.552480i | 0.992827 | − | 0.119556i | \(-0.0381472\pi\) |
−0.740518 | + | 0.672036i | \(0.765420\pi\) | |||||||
\(44\) | −0.671292 | + | 4.66894i | −0.101201 | + | 0.703869i | ||||
\(45\) | 4.49028 | 0.669371 | ||||||||
\(46\) | 4.29051 | + | 2.14278i | 0.632601 | + | 0.315936i | ||||
\(47\) | 2.49418 | 0.363813 | 0.181907 | − | 0.983316i | \(-0.441773\pi\) | ||||
0.181907 | + | 0.983316i | \(0.441773\pi\) | |||||||
\(48\) | 0.0440780 | − | 0.306569i | 0.00636211 | − | 0.0442494i | ||||
\(49\) | 0.415415 | + | 0.909632i | 0.0593450 | + | 0.129947i | ||||
\(50\) | −2.50357 | − | 0.735115i | −0.354058 | − | 0.103961i | ||||
\(51\) | −0.971569 | − | 1.12125i | −0.136047 | − | 0.157006i | ||||
\(52\) | −2.70870 | + | 0.795348i | −0.375630 | + | 0.110295i | ||||
\(53\) | 2.73483 | + | 1.75757i | 0.375658 | + | 0.241421i | 0.714822 | − | 0.699306i | \(-0.246508\pi\) |
−0.339164 | + | 0.940727i | \(0.610144\pi\) | |||||||
\(54\) | −0.759635 | + | 1.66337i | −0.103373 | + | 0.226356i | ||||
\(55\) | 4.77613 | − | 5.51195i | 0.644013 | − | 0.743231i | ||||
\(56\) | 0.841254 | − | 0.540641i | 0.112417 | − | 0.0722462i | ||||
\(57\) | 0.0276463 | + | 0.192284i | 0.00366185 | + | 0.0254687i | ||||
\(58\) | 0.466346 | + | 3.24350i | 0.0612342 | + | 0.425893i | ||||
\(59\) | 0.362362 | − | 0.232876i | 0.0471755 | − | 0.0303179i | −0.516840 | − | 0.856082i | \(-0.672892\pi\) |
0.564016 | + | 0.825764i | \(0.309256\pi\) | |||||||
\(60\) | −0.313607 | + | 0.361922i | −0.0404865 | + | 0.0467239i | ||||
\(61\) | −3.50468 | + | 7.67417i | −0.448728 | + | 0.982577i | 0.541185 | + | 0.840903i | \(0.317976\pi\) |
−0.989913 | + | 0.141674i | \(0.954752\pi\) | |||||||
\(62\) | 2.73727 | + | 1.75914i | 0.347634 | + | 0.223411i | ||||
\(63\) | −2.78644 | + | 0.818172i | −0.351058 | + | 0.103080i | ||||
\(64\) | −0.654861 | − | 0.755750i | −0.0818576 | − | 0.0944687i | ||||
\(65\) | 4.18820 | + | 1.22977i | 0.519482 | + | 0.152534i | ||||
\(66\) | 0.606897 | + | 1.32892i | 0.0747039 | + | 0.163579i | ||||
\(67\) | −0.167235 | + | 1.16314i | −0.0204310 | + | 0.142101i | −0.997484 | − | 0.0708975i | \(-0.977414\pi\) |
0.977053 | + | 0.212998i | \(0.0683228\pi\) | |||||||
\(68\) | −4.79020 | −0.580897 | ||||||||
\(69\) | 1.47672 | − | 0.160126i | 0.177776 | − | 0.0192769i | ||||
\(70\) | −1.54620 | −0.184806 | ||||||||
\(71\) | −0.767921 | + | 5.34101i | −0.0911355 | + | 0.633861i | 0.892143 | + | 0.451753i | \(0.149201\pi\) |
−0.983278 | + | 0.182108i | \(0.941708\pi\) | |||||||
\(72\) | 1.20640 | + | 2.64164i | 0.142175 | + | 0.311320i | ||||
\(73\) | 2.58876 | + | 0.760129i | 0.302991 | + | 0.0889663i | 0.429694 | − | 0.902974i | \(-0.358621\pi\) |
−0.126703 | + | 0.991941i | \(0.540439\pi\) | |||||||
\(74\) | 1.83926 | + | 2.12262i | 0.213810 | + | 0.246750i | ||||
\(75\) | −0.775410 | + | 0.227681i | −0.0895366 | + | 0.0262903i | ||||
\(76\) | 0.527646 | + | 0.339098i | 0.0605252 | + | 0.0388972i | ||||
\(77\) | −1.95949 | + | 4.29069i | −0.223305 | + | 0.488970i | ||||
\(78\) | −0.572585 | + | 0.660799i | −0.0648325 | + | 0.0748207i | ||||
\(79\) | −10.4029 | + | 6.68555i | −1.17042 | + | 0.752183i | −0.973601 | − | 0.228257i | \(-0.926697\pi\) |
−0.196818 | + | 0.980440i | \(0.563061\pi\) | |||||||
\(80\) | 0.220047 | + | 1.53046i | 0.0246020 | + | 0.171111i | ||||
\(81\) | −1.15928 | − | 8.06294i | −0.128808 | − | 0.895883i | ||||
\(82\) | 2.47915 | − | 1.59325i | 0.273777 | − | 0.175946i | ||||
\(83\) | 8.84799 | − | 10.2111i | 0.971193 | − | 1.12082i | −0.0214538 | − | 0.999770i | \(-0.506829\pi\) |
0.992647 | − | 0.121047i | \(-0.0386251\pi\) | |||||||
\(84\) | 0.128663 | − | 0.281733i | 0.0140383 | − | 0.0307395i | ||||
\(85\) | 6.23083 | + | 4.00431i | 0.675828 | + | 0.434329i | ||||
\(86\) | 3.82144 | − | 1.12208i | 0.412076 | − | 0.120997i | ||||
\(87\) | 0.664627 | + | 0.767020i | 0.0712555 | + | 0.0822332i | ||||
\(88\) | 4.52588 | + | 1.32892i | 0.482461 | + | 0.141663i | ||||
\(89\) | 7.22942 | + | 15.8302i | 0.766317 | + | 1.67800i | 0.734596 | + | 0.678504i | \(0.237372\pi\) |
0.0317210 | + | 0.999497i | \(0.489901\pi\) | |||||||
\(90\) | 0.639033 | − | 4.44457i | 0.0673600 | − | 0.468499i | ||||
\(91\) | −2.82306 | −0.295937 | ||||||||
\(92\) | 2.73158 | − | 3.94189i | 0.284787 | − | 0.410970i | ||||
\(93\) | 1.00777 | 0.104501 | ||||||||
\(94\) | 0.354959 | − | 2.46879i | 0.0366112 | − | 0.254636i | ||||
\(95\) | −0.402869 | − | 0.882160i | −0.0413335 | − | 0.0905077i | ||||
\(96\) | −0.297176 | − | 0.0872586i | −0.0303304 | − | 0.00890580i | ||||
\(97\) | −7.74725 | − | 8.94080i | −0.786614 | − | 0.907801i | 0.210954 | − | 0.977496i | \(-0.432343\pi\) |
−0.997568 | + | 0.0696948i | \(0.977797\pi\) | |||||||
\(98\) | 0.959493 | − | 0.281733i | 0.0969234 | − | 0.0284593i | ||||
\(99\) | −11.5238 | − | 7.40590i | −1.15819 | − | 0.744321i | ||||
\(100\) | −1.08393 | + | 2.37347i | −0.108393 | + | 0.237347i | ||||
\(101\) | 11.6977 | − | 13.4999i | 1.16396 | − | 1.34329i | 0.235496 | − | 0.971875i | \(-0.424328\pi\) |
0.928468 | − | 0.371411i | \(-0.121126\pi\) | |||||||
\(102\) | −1.24811 | + | 0.802109i | −0.123581 | + | 0.0794206i | ||||
\(103\) | 0.426683 | + | 2.96765i | 0.0420423 | + | 0.292411i | 0.999985 | + | 0.00545162i | \(0.00173531\pi\) |
−0.957943 | + | 0.286959i | \(0.907356\pi\) | |||||||
\(104\) | 0.401763 | + | 2.79432i | 0.0393961 | + | 0.274006i | ||||
\(105\) | −0.402869 | + | 0.258908i | −0.0393160 | + | 0.0252669i | ||||
\(106\) | 2.12889 | − | 2.45687i | 0.206776 | − | 0.238632i | ||||
\(107\) | −1.80469 | + | 3.95172i | −0.174466 | + | 0.382027i | −0.976583 | − | 0.215139i | \(-0.930980\pi\) |
0.802117 | + | 0.597166i | \(0.203707\pi\) | |||||||
\(108\) | 1.53833 | + | 0.988626i | 0.148026 | + | 0.0951305i | ||||
\(109\) | −13.0250 | + | 3.82449i | −1.24757 | + | 0.366320i | −0.837855 | − | 0.545893i | \(-0.816191\pi\) |
−0.409716 | + | 0.912213i | \(0.634372\pi\) | |||||||
\(110\) | −4.77613 | − | 5.51195i | −0.455386 | − | 0.525544i | ||||
\(111\) | 0.834658 | + | 0.245078i | 0.0792222 | + | 0.0232617i | ||||
\(112\) | −0.415415 | − | 0.909632i | −0.0392530 | − | 0.0859521i | ||||
\(113\) | −2.69141 | + | 18.7192i | −0.253187 | + | 1.76095i | 0.325632 | + | 0.945497i | \(0.394423\pi\) |
−0.578819 | + | 0.815456i | \(0.696486\pi\) | |||||||
\(114\) | 0.194262 | 0.0181943 | ||||||||
\(115\) | −6.84827 | + | 2.84397i | −0.638604 | + | 0.265201i | ||||
\(116\) | 3.27686 | 0.304249 | ||||||||
\(117\) | 1.16675 | − | 8.11492i | 0.107866 | − | 0.750225i | ||||
\(118\) | −0.178936 | − | 0.391815i | −0.0164724 | − | 0.0360695i | ||||
\(119\) | −4.59616 | − | 1.34955i | −0.421329 | − | 0.123713i | ||||
\(120\) | 0.313607 | + | 0.361922i | 0.0286283 | + | 0.0330388i | ||||
\(121\) | −10.7940 | + | 3.16939i | −0.981268 | + | 0.288126i | ||||
\(122\) | 7.09729 | + | 4.56115i | 0.642559 | + | 0.412947i | ||||
\(123\) | 0.379166 | − | 0.830259i | 0.0341883 | − | 0.0748619i | ||||
\(124\) | 2.13079 | − | 2.45906i | 0.191350 | − | 0.220830i | ||||
\(125\) | 9.89772 | − | 6.36088i | 0.885279 | − | 0.568935i | ||||
\(126\) | 0.413293 | + | 2.87451i | 0.0368190 | + | 0.256082i | ||||
\(127\) | −1.17532 | − | 8.17451i | −0.104292 | − | 0.725370i | −0.973127 | − | 0.230268i | \(-0.926040\pi\) |
0.868835 | − | 0.495102i | \(-0.164869\pi\) | |||||||
\(128\) | −0.841254 | + | 0.540641i | −0.0743570 | + | 0.0477863i | ||||
\(129\) | 0.807803 | − | 0.932254i | 0.0711231 | − | 0.0820804i | ||||
\(130\) | 1.81329 | − | 3.97056i | 0.159036 | − | 0.348241i | ||||
\(131\) | 14.1678 | + | 9.10511i | 1.23785 | + | 0.795517i | 0.985095 | − | 0.172013i | \(-0.0550272\pi\) |
0.252754 | + | 0.967530i | \(0.418664\pi\) | |||||||
\(132\) | 1.40176 | − | 0.411595i | 0.122008 | − | 0.0358247i | ||||
\(133\) | 0.410738 | + | 0.474017i | 0.0356155 | + | 0.0411025i | ||||
\(134\) | 1.12750 | + | 0.331065i | 0.0974015 | + | 0.0285997i | ||||
\(135\) | −1.17455 | − | 2.57190i | −0.101089 | − | 0.221354i | ||||
\(136\) | −0.681716 | + | 4.74144i | −0.0584567 | + | 0.406575i | ||||
\(137\) | 2.88328 | 0.246335 | 0.123168 | − | 0.992386i | \(-0.460695\pi\) | ||||
0.123168 | + | 0.992386i | \(0.460695\pi\) | |||||||
\(138\) | 0.0516623 | − | 1.48447i | 0.00439779 | − | 0.126367i | ||||
\(139\) | −18.7607 | −1.59126 | −0.795630 | − | 0.605783i | \(-0.792860\pi\) | ||||
−0.795630 | + | 0.605783i | \(0.792860\pi\) | |||||||
\(140\) | −0.220047 | + | 1.53046i | −0.0185974 | + | 0.129348i | ||||
\(141\) | −0.320908 | − | 0.702691i | −0.0270254 | − | 0.0591773i | ||||
\(142\) | 5.17736 | + | 1.52021i | 0.434474 | + | 0.127573i | ||||
\(143\) | −8.72028 | − | 10.0637i | −0.729226 | − | 0.841572i | ||||
\(144\) | 2.78644 | − | 0.818172i | 0.232203 | − | 0.0681810i | ||||
\(145\) | −4.26236 | − | 2.73925i | −0.353970 | − | 0.227483i | ||||
\(146\) | 1.12081 | − | 2.45423i | 0.0927589 | − | 0.203114i | ||||
\(147\) | 0.202824 | − | 0.234072i | 0.0167287 | − | 0.0193059i | ||||
\(148\) | 2.36277 | − | 1.51846i | 0.194219 | − | 0.124817i | ||||
\(149\) | 1.69376 | + | 11.7803i | 0.138758 | + | 0.965082i | 0.933613 | + | 0.358283i | \(0.116638\pi\) |
−0.794855 | + | 0.606799i | \(0.792453\pi\) | |||||||
\(150\) | 0.115011 | + | 0.799919i | 0.00939061 | + | 0.0653132i | ||||
\(151\) | −1.12786 | + | 0.724833i | −0.0917841 | + | 0.0589860i | −0.585728 | − | 0.810508i | \(-0.699191\pi\) |
0.493944 | + | 0.869494i | \(0.335555\pi\) | |||||||
\(152\) | 0.410738 | − | 0.474017i | 0.0333153 | − | 0.0384479i | ||||
\(153\) | 5.77887 | − | 12.6540i | 0.467194 | − | 1.02301i | ||||
\(154\) | 3.96815 | + | 2.55018i | 0.319763 | + | 0.205499i | ||||
\(155\) | −4.82723 | + | 1.41740i | −0.387733 | + | 0.113849i | ||||
\(156\) | 0.572585 | + | 0.660799i | 0.0458435 | + | 0.0529062i | ||||
\(157\) | −17.9704 | − | 5.27658i | −1.43419 | − | 0.421117i | −0.529910 | − | 0.848054i | \(-0.677774\pi\) |
−0.904281 | + | 0.426937i | \(0.859593\pi\) | |||||||
\(158\) | 5.13701 | + | 11.2485i | 0.408678 | + | 0.894881i | ||||
\(159\) | 0.143293 | − | 0.996626i | 0.0113639 | − | 0.0790376i | ||||
\(160\) | 1.54620 | 0.122238 | ||||||||
\(161\) | 3.73149 | − | 3.01264i | 0.294082 | − | 0.237429i | ||||
\(162\) | −8.14586 | −0.639999 | ||||||||
\(163\) | 2.89117 | − | 20.1085i | 0.226454 | − | 1.57502i | −0.486418 | − | 0.873726i | \(-0.661697\pi\) |
0.712872 | − | 0.701295i | \(-0.247394\pi\) | |||||||
\(164\) | −1.22422 | − | 2.68066i | −0.0955953 | − | 0.209325i | ||||
\(165\) | −2.16741 | − | 0.636408i | −0.168732 | − | 0.0495443i | ||||
\(166\) | −8.84799 | − | 10.2111i | −0.686737 | − | 0.792537i | ||||
\(167\) | 12.6980 | − | 3.72847i | 0.982602 | − | 0.288518i | 0.249304 | − | 0.968425i | \(-0.419798\pi\) |
0.733298 | + | 0.679908i | \(0.237980\pi\) | |||||||
\(168\) | −0.260554 | − | 0.167448i | −0.0201022 | − | 0.0129189i | ||||
\(169\) | −2.08968 | + | 4.57576i | −0.160745 | + | 0.351981i | ||||
\(170\) | 4.85029 | − | 5.59754i | 0.372000 | − | 0.429311i | ||||
\(171\) | −1.53232 | + | 0.984764i | −0.117180 | + | 0.0753068i | ||||
\(172\) | −0.566807 | − | 3.94223i | −0.0432186 | − | 0.300592i | ||||
\(173\) | 0.839146 | + | 5.83639i | 0.0637991 | + | 0.443733i | 0.996535 | + | 0.0831726i | \(0.0265053\pi\) |
−0.932736 | + | 0.360560i | \(0.882586\pi\) | |||||||
\(174\) | 0.853799 | − | 0.548704i | 0.0647264 | − | 0.0415971i | ||||
\(175\) | −1.70870 | + | 1.97195i | −0.129166 | + | 0.149065i | ||||
\(176\) | 1.95949 | − | 4.29069i | 0.147702 | − | 0.323423i | ||||
\(177\) | −0.112231 | − | 0.0721267i | −0.00843582 | − | 0.00542137i | ||||
\(178\) | 16.6980 | − | 4.90296i | 1.25156 | − | 0.367493i | ||||
\(179\) | −12.1414 | − | 14.0119i | −0.907491 | − | 1.04730i | −0.998675 | − | 0.0514667i | \(-0.983610\pi\) |
0.0911834 | − | 0.995834i | \(-0.470935\pi\) | |||||||
\(180\) | −4.30839 | − | 1.26506i | −0.321128 | − | 0.0942918i | ||||
\(181\) | 1.68269 | + | 3.68458i | 0.125074 | + | 0.273873i | 0.961802 | − | 0.273744i | \(-0.0882622\pi\) |
−0.836729 | + | 0.547617i | \(0.815535\pi\) | |||||||
\(182\) | −0.401763 | + | 2.79432i | −0.0297807 | + | 0.207129i | ||||
\(183\) | 2.61299 | 0.193157 | ||||||||
\(184\) | −3.51302 | − | 3.26476i | −0.258983 | − | 0.240681i | ||||
\(185\) | −4.34271 | −0.319283 | ||||||||
\(186\) | 0.143421 | − | 0.997514i | 0.0105161 | − | 0.0731413i | ||||
\(187\) | −9.38635 | − | 20.5532i | −0.686398 | − | 1.50300i | ||||
\(188\) | −2.39315 | − | 0.702691i | −0.174538 | − | 0.0512490i | ||||
\(189\) | 1.19749 | + | 1.38198i | 0.0871046 | + | 0.100524i | ||||
\(190\) | −0.930515 | + | 0.273224i | −0.0675067 | + | 0.0198218i | ||||
\(191\) | −10.7040 | − | 6.87903i | −0.774512 | − | 0.497749i | 0.0926959 | − | 0.995694i | \(-0.470452\pi\) |
−0.867208 | + | 0.497946i | \(0.834088\pi\) | |||||||
\(192\) | −0.128663 | + | 0.281733i | −0.00928545 | + | 0.0203323i | ||||
\(193\) | 11.3761 | − | 13.1287i | 0.818867 | − | 0.945023i | −0.180388 | − | 0.983595i | \(-0.557735\pi\) |
0.999256 | + | 0.0385721i | \(0.0122809\pi\) | |||||||
\(194\) | −9.95235 | + | 6.39599i | −0.714537 | + | 0.459205i | ||||
\(195\) | −0.192401 | − | 1.33818i | −0.0137781 | − | 0.0958289i | ||||
\(196\) | −0.142315 | − | 0.989821i | −0.0101653 | − | 0.0707015i | ||||
\(197\) | 4.85195 | − | 3.11816i | 0.345687 | − | 0.222159i | −0.356263 | − | 0.934386i | \(-0.615949\pi\) |
0.701950 | + | 0.712226i | \(0.252313\pi\) | |||||||
\(198\) | −8.97053 | + | 10.3525i | −0.637508 | + | 0.735723i | ||||
\(199\) | −2.44256 | + | 5.34847i | −0.173149 | + | 0.379143i | −0.976233 | − | 0.216722i | \(-0.930463\pi\) |
0.803085 | + | 0.595865i | \(0.203191\pi\) | |||||||
\(200\) | 2.19505 | + | 1.41067i | 0.155214 | + | 0.0997498i | ||||
\(201\) | 0.349212 | − | 0.102538i | 0.0246315 | − | 0.00723247i | ||||
\(202\) | −11.6977 | − | 13.4999i | −0.823047 | − | 0.949847i | ||||
\(203\) | 3.14412 | + | 0.923198i | 0.220674 | + | 0.0647958i | ||||
\(204\) | 0.616321 | + | 1.34955i | 0.0431511 | + | 0.0944877i | ||||
\(205\) | −0.648474 | + | 4.51023i | −0.0452914 | + | 0.315008i | ||||
\(206\) | 2.99816 | 0.208892 | ||||||||
\(207\) | 7.11768 | + | 11.9713i | 0.494713 | + | 0.832064i | ||||
\(208\) | 2.82306 | 0.195744 | ||||||||
\(209\) | −0.421044 | + | 2.92843i | −0.0291242 | + | 0.202564i | ||||
\(210\) | 0.198939 | + | 0.435615i | 0.0137281 | + | 0.0300603i | ||||
\(211\) | 7.89447 | + | 2.31803i | 0.543478 | + | 0.159580i | 0.541937 | − | 0.840419i | \(-0.317691\pi\) |
0.00154120 | + | 0.999999i | \(0.499509\pi\) | |||||||
\(212\) | −2.12889 | − | 2.45687i | −0.146213 | − | 0.168738i | ||||
\(213\) | 1.60354 | − | 0.470842i | 0.109873 | − | 0.0322615i | ||||
\(214\) | 3.65466 | + | 2.34871i | 0.249828 | + | 0.160554i | ||||
\(215\) | −2.55819 | + | 5.60166i | −0.174467 | + | 0.382030i | ||||
\(216\) | 1.19749 | − | 1.38198i | 0.0814789 | − | 0.0940316i | ||||
\(217\) | 2.73727 | − | 1.75914i | 0.185818 | − | 0.119418i | ||||
\(218\) | 1.93191 | + | 13.4367i | 0.130846 | + | 0.910050i | ||||
\(219\) | −0.118925 | − | 0.827138i | −0.00803618 | − | 0.0558928i | ||||
\(220\) | −6.13556 | + | 3.94308i | −0.413659 | + | 0.265843i | ||||
\(221\) | 8.85568 | − | 10.2200i | 0.595698 | − | 0.687472i | ||||
\(222\) | 0.361367 | − | 0.791284i | 0.0242534 | − | 0.0531075i | ||||
\(223\) | 17.9392 | + | 11.5288i | 1.20130 | + | 0.772028i | 0.979181 | − | 0.202991i | \(-0.0650662\pi\) |
0.222119 | + | 0.975020i | \(0.428703\pi\) | |||||||
\(224\) | −0.959493 | + | 0.281733i | −0.0641088 | + | 0.0188240i | ||||
\(225\) | −4.96220 | − | 5.72669i | −0.330814 | − | 0.381779i | ||||
\(226\) | 18.1456 | + | 5.32804i | 1.20703 | + | 0.354416i | ||||
\(227\) | −3.01458 | − | 6.60102i | −0.200085 | − | 0.438125i | 0.782818 | − | 0.622251i | \(-0.213782\pi\) |
−0.982903 | + | 0.184126i | \(0.941055\pi\) | |||||||
\(228\) | 0.0276463 | − | 0.192284i | 0.00183092 | − | 0.0127343i | ||||
\(229\) | 9.43941 | 0.623774 | 0.311887 | − | 0.950119i | \(-0.399039\pi\) | ||||
0.311887 | + | 0.950119i | \(0.399039\pi\) | |||||||
\(230\) | 1.84041 | + | 7.18330i | 0.121353 | + | 0.473653i | ||||
\(231\) | 1.46094 | 0.0961229 | ||||||||
\(232\) | 0.466346 | − | 3.24350i | 0.0306171 | − | 0.212947i | ||||
\(233\) | −5.05547 | − | 11.0699i | −0.331195 | − | 0.725215i | 0.668637 | − | 0.743589i | \(-0.266878\pi\) |
−0.999831 | + | 0.0183743i | \(0.994151\pi\) | |||||||
\(234\) | −7.86628 | − | 2.30975i | −0.514235 | − | 0.150993i | ||||
\(235\) | 2.52547 | + | 2.91455i | 0.164744 | + | 0.190124i | ||||
\(236\) | −0.413293 | + | 0.121354i | −0.0269031 | + | 0.00789945i | ||||
\(237\) | 3.22201 | + | 2.07066i | 0.209292 | + | 0.134504i | ||||
\(238\) | −1.98992 | + | 4.35731i | −0.128987 | + | 0.282443i | ||||
\(239\) | −4.66198 | + | 5.38021i | −0.301558 | + | 0.348017i | −0.886224 | − | 0.463258i | \(-0.846680\pi\) |
0.584665 | + | 0.811275i | \(0.301226\pi\) | |||||||
\(240\) | 0.402869 | − | 0.258908i | 0.0260051 | − | 0.0167125i | ||||
\(241\) | 3.71790 | + | 25.8585i | 0.239491 | + | 1.66570i | 0.654639 | + | 0.755941i | \(0.272821\pi\) |
−0.415148 | + | 0.909754i | \(0.636270\pi\) | |||||||
\(242\) | 1.60099 | + | 11.1351i | 0.102916 | + | 0.715794i | ||||
\(243\) | −6.73743 | + | 4.32988i | −0.432206 | + | 0.277762i | ||||
\(244\) | 5.52478 | − | 6.37593i | 0.353688 | − | 0.408177i | ||||
\(245\) | −0.642315 | + | 1.40647i | −0.0410360 | + | 0.0898563i | ||||
\(246\) | −0.767847 | − | 0.493465i | −0.0489561 | − | 0.0314622i | ||||
\(247\) | −1.69894 | + | 0.498853i | −0.108101 | + | 0.0317413i | ||||
\(248\) | −2.13079 | − | 2.45906i | −0.135305 | − | 0.156150i | ||||
\(249\) | −4.01521 | − | 1.17897i | −0.254454 | − | 0.0747144i | ||||
\(250\) | −4.88754 | − | 10.7022i | −0.309115 | − | 0.676868i | ||||
\(251\) | −2.33918 | + | 16.2694i | −0.147648 | + | 1.02691i | 0.772408 | + | 0.635127i | \(0.219052\pi\) |
−0.920056 | + | 0.391787i | \(0.871857\pi\) | |||||||
\(252\) | 2.90407 | 0.182939 | ||||||||
\(253\) | 22.2659 | + | 3.99625i | 1.39985 | + | 0.251242i | ||||
\(254\) | −8.25857 | −0.518189 | ||||||||
\(255\) | 0.326468 | − | 2.27063i | 0.0204442 | − | 0.142193i | ||||
\(256\) | 0.415415 | + | 0.909632i | 0.0259634 | + | 0.0568520i | ||||
\(257\) | 9.19884 | + | 2.70102i | 0.573808 | + | 0.168485i | 0.555747 | − | 0.831352i | \(-0.312432\pi\) |
0.0180613 | + | 0.999837i | \(0.494251\pi\) | |||||||
\(258\) | −0.807803 | − | 0.932254i | −0.0502916 | − | 0.0580396i | ||||
\(259\) | 2.69487 | − | 0.791284i | 0.167451 | − | 0.0491680i | ||||
\(260\) | −3.67208 | − | 2.35990i | −0.227733 | − | 0.146355i | ||||
\(261\) | −3.95319 | + | 8.65627i | −0.244696 | + | 0.535810i | ||||
\(262\) | 11.0287 | − | 12.7278i | 0.681357 | − | 0.786328i | ||||
\(263\) | 22.8076 | − | 14.6575i | 1.40638 | − | 0.903823i | 0.406424 | − | 0.913684i | \(-0.366776\pi\) |
0.999951 | + | 0.00986176i | \(0.00313915\pi\) | |||||||
\(264\) | −0.207914 | − | 1.44607i | −0.0127962 | − | 0.0889995i | ||||
\(265\) | 0.715352 | + | 4.97538i | 0.0439437 | + | 0.305635i | ||||
\(266\) | 0.527646 | − | 0.339098i | 0.0323521 | − | 0.0207914i | ||||
\(267\) | 3.52973 | − | 4.07353i | 0.216016 | − | 0.249296i | ||||
\(268\) | 0.488156 | − | 1.06891i | 0.0298189 | − | 0.0652942i | ||||
\(269\) | −18.7200 | − | 12.0306i | −1.14138 | − | 0.733518i | −0.173472 | − | 0.984839i | \(-0.555499\pi\) |
−0.967904 | + | 0.251321i | \(0.919135\pi\) | |||||||
\(270\) | −2.71288 | + | 0.796573i | −0.165101 | + | 0.0484779i | ||||
\(271\) | 8.06207 | + | 9.30412i | 0.489736 | + | 0.565185i | 0.945795 | − | 0.324764i | \(-0.105285\pi\) |
−0.456059 | + | 0.889949i | \(0.650739\pi\) | |||||||
\(272\) | 4.59616 | + | 1.34955i | 0.278683 | + | 0.0818287i | ||||
\(273\) | 0.363223 | + | 0.795348i | 0.0219833 | + | 0.0481366i | ||||
\(274\) | 0.410334 | − | 2.85393i | 0.0247892 | − | 0.172412i | ||||
\(275\) | −12.3078 | −0.742187 | ||||||||
\(276\) | −1.46201 | − | 0.262399i | −0.0880027 | − | 0.0157946i | ||||
\(277\) | −18.4012 | −1.10562 | −0.552810 | − | 0.833308i | \(-0.686444\pi\) | ||||
−0.552810 | + | 0.833308i | \(0.686444\pi\) | |||||||
\(278\) | −2.66992 | + | 18.5697i | −0.160131 | + | 1.11374i | ||||
\(279\) | 3.92537 | + | 8.59536i | 0.235006 | + | 0.514591i | ||||
\(280\) | 1.48357 | + | 0.435615i | 0.0886602 | + | 0.0260330i | ||||
\(281\) | 18.2746 | + | 21.0900i | 1.09017 | + | 1.25812i | 0.963939 | + | 0.266122i | \(0.0857424\pi\) |
0.126230 | + | 0.992001i | \(0.459712\pi\) | |||||||
\(282\) | −0.741209 | + | 0.217639i | −0.0441384 | + | 0.0129602i | ||||
\(283\) | −13.1311 | − | 8.43884i | −0.780562 | − | 0.501637i | 0.0886580 | − | 0.996062i | \(-0.471742\pi\) |
−0.869220 | + | 0.494425i | \(0.835379\pi\) | |||||||
\(284\) | 2.24155 | − | 4.90831i | 0.133012 | − | 0.291255i | ||||
\(285\) | −0.196699 | + | 0.227003i | −0.0116514 | + | 0.0134465i | ||||
\(286\) | −11.2023 | + | 7.19930i | −0.662408 | + | 0.425704i | ||||
\(287\) | −0.419398 | − | 2.91698i | −0.0247563 | − | 0.172184i | ||||
\(288\) | −0.413293 | − | 2.87451i | −0.0243535 | − | 0.169382i | ||||
\(289\) | 5.00207 | − | 3.21463i | 0.294239 | − | 0.189096i | ||||
\(290\) | −3.31797 | + | 3.82914i | −0.194838 | + | 0.224855i | ||||
\(291\) | −1.52213 | + | 3.33300i | −0.0892289 | + | 0.195384i | ||||
\(292\) | −2.26974 | − | 1.45868i | −0.132827 | − | 0.0853626i | ||||
\(293\) | 6.87501 | − | 2.01869i | 0.401643 | − | 0.117933i | −0.0746713 | − | 0.997208i | \(-0.523791\pi\) |
0.476314 | + | 0.879275i | \(0.341973\pi\) | |||||||
\(294\) | −0.202824 | − | 0.234072i | −0.0118290 | − | 0.0136513i | ||||
\(295\) | 0.639033 | + | 0.187637i | 0.0372060 | + | 0.0109247i | ||||
\(296\) | −1.16675 | − | 2.55482i | −0.0678159 | − | 0.148496i | ||||
\(297\) | −1.22754 | + | 8.53771i | −0.0712289 | + | 0.495408i | ||||
\(298\) | 11.9015 | 0.689433 | ||||||||
\(299\) | 3.36023 | + | 13.1153i | 0.194327 | + | 0.758477i | ||||
\(300\) | 0.808145 | 0.0466583 | ||||||||
\(301\) | 0.566807 | − | 3.94223i | 0.0326702 | − | 0.227226i | ||||
\(302\) | 0.556943 | + | 1.21954i | 0.0320485 | + | 0.0701764i | ||||
\(303\) | −5.30841 | − | 1.55869i | −0.304960 | − | 0.0895444i | ||||
\(304\) | −0.410738 | − | 0.474017i | −0.0235574 | − | 0.0271867i | ||||
\(305\) | −12.5162 | + | 3.67510i | −0.716677 | + | 0.210435i | ||||
\(306\) | −11.7027 | − | 7.52089i | −0.669001 | − | 0.429941i | ||||
\(307\) | −11.2218 | + | 24.5723i | −0.640460 | + | 1.40241i | 0.259201 | + | 0.965823i | \(0.416541\pi\) |
−0.899661 | + | 0.436589i | \(0.856186\pi\) | |||||||
\(308\) | 3.08895 | − | 3.56484i | 0.176009 | − | 0.203125i | ||||
\(309\) | 0.781184 | − | 0.502036i | 0.0444400 | − | 0.0285599i | ||||
\(310\) | 0.715990 | + | 4.97982i | 0.0406655 | + | 0.282835i | ||||
\(311\) | 2.57291 | + | 17.8950i | 0.145896 | + | 1.01473i | 0.922846 | + | 0.385169i | \(0.125857\pi\) |
−0.776950 | + | 0.629562i | \(0.783234\pi\) | |||||||
\(312\) | 0.735560 | − | 0.472716i | 0.0416429 | − | 0.0267623i | ||||
\(313\) | 1.24895 | − | 1.44136i | 0.0705947 | − | 0.0814706i | −0.719354 | − | 0.694644i | \(-0.755562\pi\) |
0.789948 | + | 0.613173i | \(0.210107\pi\) | |||||||
\(314\) | −7.78032 | + | 17.0365i | −0.439069 | + | 0.961426i | ||||
\(315\) | −3.77746 | − | 2.42763i | −0.212836 | − | 0.136781i | ||||
\(316\) | 11.8651 | − | 3.48390i | 0.667462 | − | 0.195984i | ||||
\(317\) | −9.56788 | − | 11.0419i | −0.537386 | − | 0.620176i | 0.420512 | − | 0.907287i | \(-0.361851\pi\) |
−0.957897 | + | 0.287111i | \(0.907305\pi\) | |||||||
\(318\) | −0.966089 | − | 0.283669i | −0.0541756 | − | 0.0159074i | ||||
\(319\) | 6.42098 | + | 14.0600i | 0.359506 | + | 0.787208i | ||||
\(320\) | 0.220047 | − | 1.53046i | 0.0123010 | − | 0.0855554i | ||||
\(321\) | 1.34553 | 0.0750999 | ||||||||
\(322\) | −2.45093 | − | 4.12225i | −0.136585 | − | 0.229724i | ||||
\(323\) | −3.00448 | −0.167174 | ||||||||
\(324\) | −1.15928 | + | 8.06294i | −0.0644042 | + | 0.447941i | ||||
\(325\) | −3.05999 | − | 6.70045i | −0.169738 | − | 0.371674i | ||||
\(326\) | −19.4924 | − | 5.72348i | −1.07958 | − | 0.316994i | ||||
\(327\) | 2.75332 | + | 3.17750i | 0.152259 | + | 0.175716i | ||||
\(328\) | −2.82760 | + | 0.830259i | −0.156128 | + | 0.0458434i | ||||
\(329\) | −2.09824 | − | 1.34845i | −0.115680 | − | 0.0743427i | ||||
\(330\) | −0.938384 | + | 2.05478i | −0.0516564 | + | 0.113112i | ||||
\(331\) | 14.3632 | − | 16.5760i | 0.789471 | − | 0.911098i | −0.208284 | − | 0.978068i | \(-0.566788\pi\) |
0.997755 | + | 0.0669702i | \(0.0213333\pi\) | |||||||
\(332\) | −11.3664 | + | 7.30474i | −0.623812 | + | 0.400899i | ||||
\(333\) | 1.16079 | + | 8.07346i | 0.0636108 | + | 0.442423i | ||||
\(334\) | −1.88341 | − | 13.0994i | −0.103055 | − | 0.716766i | ||||
\(335\) | −1.52851 | + | 0.982315i | −0.0835115 | + | 0.0536696i | ||||
\(336\) | −0.202824 | + | 0.234072i | −0.0110650 | + | 0.0127697i | ||||
\(337\) | 0.963823 | − | 2.11048i | 0.0525028 | − | 0.114965i | −0.881563 | − | 0.472067i | \(-0.843508\pi\) |
0.934065 | + | 0.357102i | \(0.116235\pi\) | |||||||
\(338\) | 4.23179 | + | 2.71961i | 0.230179 | + | 0.147927i | ||||
\(339\) | 5.62009 | − | 1.65021i | 0.305241 | − | 0.0896269i | ||||
\(340\) | −4.85029 | − | 5.59754i | −0.263044 | − | 0.303569i | ||||
\(341\) | 14.7263 | + | 4.32404i | 0.797475 | + | 0.234160i | ||||
\(342\) | 0.756669 | + | 1.65687i | 0.0409159 | + | 0.0895934i | ||||
\(343\) | 0.142315 | − | 0.989821i | 0.00768428 | − | 0.0534453i | ||||
\(344\) | −3.98277 | −0.214736 | ||||||||
\(345\) | 1.68236 | + | 1.56347i | 0.0905750 | + | 0.0841742i | ||||
\(346\) | 5.89641 | 0.316993 | ||||||||
\(347\) | −2.08310 | + | 14.4883i | −0.111827 | + | 0.777770i | 0.854315 | + | 0.519756i | \(0.173977\pi\) |
−0.966141 | + | 0.258014i | \(0.916932\pi\) | |||||||
\(348\) | −0.421610 | − | 0.923198i | −0.0226007 | − | 0.0494886i | ||||
\(349\) | −19.5253 | − | 5.73314i | −1.04516 | − | 0.306888i | −0.286303 | − | 0.958139i | \(-0.592426\pi\) |
−0.758862 | + | 0.651251i | \(0.774244\pi\) | |||||||
\(350\) | 1.70870 | + | 1.97195i | 0.0913341 | + | 0.105405i | ||||
\(351\) | −4.95319 | + | 1.45439i | −0.264382 | + | 0.0776294i | ||||
\(352\) | −3.96815 | − | 2.55018i | −0.211503 | − | 0.135925i | ||||
\(353\) | 7.01541 | − | 15.3616i | 0.373392 | − | 0.817615i | −0.625896 | − | 0.779906i | \(-0.715267\pi\) |
0.999289 | − | 0.0377091i | \(-0.0120060\pi\) | |||||||
\(354\) | −0.0873647 | + | 0.100824i | −0.00464338 | + | 0.00535875i | ||||
\(355\) | −7.01874 | + | 4.51067i | −0.372516 | + | 0.239402i | ||||
\(356\) | −2.47669 | − | 17.2258i | −0.131264 | − | 0.912963i | ||||
\(357\) | 0.211142 | + | 1.46853i | 0.0111748 | + | 0.0777226i | ||||
\(358\) | −15.5972 | + | 10.0237i | −0.824338 | + | 0.529770i | ||||
\(359\) | 19.6918 | − | 22.7256i | 1.03929 | − | 1.19941i | 0.0597440 | − | 0.998214i | \(-0.480972\pi\) |
0.979551 | − | 0.201196i | \(-0.0644830\pi\) | |||||||
\(360\) | −1.86533 | + | 4.08450i | −0.0983115 | + | 0.215272i | ||||
\(361\) | −15.6529 | − | 10.0595i | −0.823835 | − | 0.529447i | ||||
\(362\) | 3.88655 | − | 1.14119i | 0.204273 | − | 0.0599799i | ||||
\(363\) | 2.28170 | + | 2.63322i | 0.119758 | + | 0.138208i | ||||
\(364\) | 2.70870 | + | 0.795348i | 0.141975 | + | 0.0416875i | ||||
\(365\) | 1.73300 | + | 3.79474i | 0.0907092 | + | 0.198626i | ||||
\(366\) | 0.371867 | − | 2.58639i | 0.0194378 | − | 0.135193i | ||||
\(367\) | 32.5270 | 1.69789 | 0.848947 | − | 0.528478i | \(-0.177237\pi\) | ||||
0.848947 | + | 0.528478i | \(0.177237\pi\) | |||||||
\(368\) | −3.73149 | + | 3.01264i | −0.194517 | + | 0.157045i | ||||
\(369\) | 8.55823 | 0.445524 | ||||||||
\(370\) | −0.618032 | + | 4.29851i | −0.0321300 | + | 0.223469i | ||||
\(371\) | −1.35047 | − | 2.95712i | −0.0701131 | − | 0.153526i | ||||
\(372\) | −0.966950 | − | 0.283922i | −0.0501340 | − | 0.0147207i | ||||
\(373\) | 13.5717 | + | 15.6626i | 0.702717 | + | 0.810979i | 0.989117 | − | 0.147131i | \(-0.0470040\pi\) |
−0.286400 | + | 0.958110i | \(0.592459\pi\) | |||||||
\(374\) | −21.6799 | + | 6.36578i | −1.12104 | + | 0.329167i | ||||
\(375\) | −3.06554 | − | 1.97010i | −0.158304 | − | 0.101736i | ||||
\(376\) | −1.03612 | + | 2.26879i | −0.0534338 | + | 0.117004i | ||||
\(377\) | −6.05796 | + | 6.99126i | −0.312001 | + | 0.360068i | ||||
\(378\) | 1.53833 | − | 0.988626i | 0.0791232 | − | 0.0508494i | ||||
\(379\) | −1.36089 | − | 9.46518i | −0.0699041 | − | 0.486194i | −0.994457 | − | 0.105141i | \(-0.966471\pi\) |
0.924553 | − | 0.381053i | \(-0.124438\pi\) | |||||||
\(380\) | 0.138017 | + | 0.959928i | 0.00708011 | + | 0.0492433i | ||||
\(381\) | −2.15180 | + | 1.38288i | −0.110240 | + | 0.0708471i | ||||
\(382\) | −8.33234 | + | 9.61604i | −0.426320 | + | 0.491999i | ||||
\(383\) | −7.27898 | + | 15.9387i | −0.371938 | + | 0.814432i | 0.627422 | + | 0.778679i | \(0.284110\pi\) |
−0.999361 | + | 0.0357523i | \(0.988617\pi\) | |||||||
\(384\) | 0.260554 | + | 0.167448i | 0.0132964 | + | 0.00854505i | ||||
\(385\) | −6.99792 | + | 2.05478i | −0.356647 | + | 0.104721i | ||||
\(386\) | −11.3761 | − | 13.1287i | −0.579027 | − | 0.668232i | ||||
\(387\) | 11.0977 | + | 3.25859i | 0.564130 | + | 0.165643i | ||||
\(388\) | 4.91452 | + | 10.7613i | 0.249497 | + | 0.546322i | ||||
\(389\) | −0.887586 | + | 6.17330i | −0.0450024 | + | 0.312999i | 0.954870 | + | 0.297024i | \(0.0959942\pi\) |
−0.999872 | + | 0.0159746i | \(0.994915\pi\) | |||||||
\(390\) | −1.35194 | −0.0684581 | ||||||||
\(391\) | −0.799017 | + | 22.9591i | −0.0404080 | + | 1.16109i | ||||
\(392\) | −1.00000 | −0.0505076 | ||||||||
\(393\) | 0.742332 | − | 5.16303i | 0.0374457 | − | 0.260440i | ||||
\(394\) | −2.39591 | − | 5.24632i | −0.120704 | − | 0.264306i | ||||
\(395\) | −18.3458 | − | 5.38680i | −0.923075 | − | 0.271039i | ||||
\(396\) | 8.97053 | + | 10.3525i | 0.450786 | + | 0.520235i | ||||
\(397\) | 16.7024 | − | 4.90428i | 0.838271 | − | 0.246139i | 0.165705 | − | 0.986175i | \(-0.447010\pi\) |
0.672566 | + | 0.740037i | \(0.265192\pi\) | |||||||
\(398\) | 4.94641 | + | 3.17887i | 0.247941 | + | 0.159342i | ||||
\(399\) | 0.0806993 | − | 0.176707i | 0.00404002 | − | 0.00884640i | ||||
\(400\) | 1.70870 | − | 1.97195i | 0.0854352 | − | 0.0985975i | ||||
\(401\) | 7.93717 | − | 5.10091i | 0.396363 | − | 0.254727i | −0.327243 | − | 0.944940i | \(-0.606120\pi\) |
0.723606 | + | 0.690213i | \(0.242483\pi\) | |||||||
\(402\) | −0.0517962 | − | 0.360250i | −0.00258336 | − | 0.0179677i | ||||
\(403\) | 1.30726 | + | 9.09217i | 0.0651191 | + | 0.452913i | ||||
\(404\) | −15.0272 | + | 9.65740i | −0.747632 | + | 0.480474i | ||||
\(405\) | 8.24805 | − | 9.51876i | 0.409849 | − | 0.472991i | ||||
\(406\) | 1.36126 | − | 2.98074i | 0.0675580 | − | 0.147931i | ||||
\(407\) | 11.1451 | + | 7.16252i | 0.552442 | + | 0.355033i | ||||
\(408\) | 1.42353 | − | 0.417986i | 0.0704752 | − | 0.0206934i | ||||
\(409\) | −0.642618 | − | 0.741621i | −0.0317754 | − | 0.0366708i | 0.739639 | − | 0.673003i | \(-0.234996\pi\) |
−0.771415 | + | 0.636333i | \(0.780451\pi\) | |||||||
\(410\) | 4.37204 | + | 1.28375i | 0.215920 | + | 0.0633997i | ||||
\(411\) | −0.370971 | − | 0.812314i | −0.0182987 | − | 0.0400685i | ||||
\(412\) | 0.426683 | − | 2.96765i | 0.0210212 | − | 0.146205i | ||||
\(413\) | −0.430741 | −0.0211954 | ||||||||
\(414\) | 12.8624 | − | 5.34154i | 0.632153 | − | 0.262522i | ||||
\(415\) | 20.8911 | 1.02550 | ||||||||
\(416\) | 0.401763 | − | 2.79432i | 0.0196981 | − | 0.137003i | ||||
\(417\) | 2.41380 | + | 5.28549i | 0.118205 | + | 0.258832i | ||||
\(418\) | 2.83870 | + | 0.833517i | 0.138845 | + | 0.0407687i | ||||
\(419\) | −9.52140 | − | 10.9883i | −0.465151 | − | 0.536813i | 0.473906 | − | 0.880576i | \(-0.342844\pi\) |
−0.939056 | + | 0.343763i | \(0.888298\pi\) | |||||||
\(420\) | 0.459493 | − | 0.134919i | 0.0224210 | − | 0.00658339i | ||||
\(421\) | −21.8201 | − | 14.0229i | −1.06345 | − | 0.683436i | −0.112770 | − | 0.993621i | \(-0.535972\pi\) |
−0.950676 | + | 0.310186i | \(0.899609\pi\) | |||||||
\(422\) | 3.41793 | − | 7.48423i | 0.166382 | − | 0.364327i | ||||
\(423\) | 4.74334 | − | 5.47410i | 0.230629 | − | 0.266160i | ||||
\(424\) | −2.73483 | + | 1.75757i | −0.132815 | + | 0.0853552i | ||||
\(425\) | −1.77878 | − | 12.3717i | −0.0862834 | − | 0.600114i | ||||
\(426\) | −0.237842 | − | 1.65423i | −0.0115235 | − | 0.0801475i | ||||
\(427\) | 7.09729 | − | 4.56115i | 0.343462 | − | 0.220730i | ||||
\(428\) | 2.84492 | − | 3.28321i | 0.137514 | − | 0.158700i | ||||
\(429\) | −1.71331 | + | 3.75162i | −0.0827192 | + | 0.181130i | ||||
\(430\) | 5.18057 | + | 3.32935i | 0.249829 | + | 0.160556i | ||||
\(431\) | 3.22474 | − | 0.946868i | 0.155330 | − | 0.0456090i | −0.203143 | − | 0.979149i | \(-0.565116\pi\) |
0.358473 | + | 0.933540i | \(0.383297\pi\) | |||||||
\(432\) | −1.19749 | − | 1.38198i | −0.0576143 | − | 0.0664904i | ||||
\(433\) | −24.1203 | − | 7.08237i | −1.15915 | − | 0.340357i | −0.355048 | − | 0.934848i | \(-0.615535\pi\) |
−0.804102 | + | 0.594491i | \(0.797354\pi\) | |||||||
\(434\) | −1.35168 | − | 2.95976i | −0.0648826 | − | 0.142073i | ||||
\(435\) | −0.223329 | + | 1.55329i | −0.0107078 | + | 0.0744744i | ||||
\(436\) | 13.5749 | 0.650120 | ||||||||
\(437\) | 1.71328 | − | 2.47241i | 0.0819575 | − | 0.118271i | ||||
\(438\) | −0.835644 | −0.0399286 | ||||||||
\(439\) | 4.69803 | − | 32.6755i | 0.224225 | − | 1.55952i | −0.497578 | − | 0.867419i | \(-0.665777\pi\) |
0.721803 | − | 0.692098i | \(-0.243314\pi\) | |||||||
\(440\) | 3.02977 | + | 6.63427i | 0.144439 | + | 0.316276i | ||||
\(441\) | 2.78644 | + | 0.818172i | 0.132687 | + | 0.0389606i | ||||
\(442\) | −8.85568 | − | 10.2200i | −0.421222 | − | 0.486116i | ||||
\(443\) | −6.27816 | + | 1.84343i | −0.298284 | + | 0.0875842i | −0.427450 | − | 0.904039i | \(-0.640588\pi\) |
0.129166 | + | 0.991623i | \(0.458770\pi\) | |||||||
\(444\) | −0.731802 | − | 0.470301i | −0.0347298 | − | 0.0223195i | ||||
\(445\) | −11.1781 | + | 24.4767i | −0.529895 | + | 1.16031i | ||||
\(446\) | 13.9645 | − | 16.1159i | 0.661239 | − | 0.763110i | ||||
\(447\) | 3.10098 | − | 1.99288i | 0.146671 | − | 0.0942599i | ||||
\(448\) | 0.142315 | + | 0.989821i | 0.00672374 | + | 0.0467647i | ||||
\(449\) | −2.42438 | − | 16.8619i | −0.114414 | − | 0.795765i | −0.963538 | − | 0.267572i | \(-0.913779\pi\) |
0.849124 | − | 0.528193i | \(-0.177130\pi\) | |||||||
\(450\) | −6.37459 | + | 4.09670i | −0.300501 | + | 0.193120i | ||||
\(451\) | 9.10305 | − | 10.5055i | 0.428646 | − | 0.494684i | ||||
\(452\) | 7.85619 | − | 17.2027i | 0.369524 | − | 0.809145i | ||||
\(453\) | 0.349323 | + | 0.224496i | 0.0164126 | + | 0.0105478i | ||||
\(454\) | −6.96285 | + | 2.04448i | −0.326783 | + | 0.0959521i | ||||
\(455\) | −2.85848 | − | 3.29886i | −0.134007 | − | 0.154653i | ||||
\(456\) | −0.186393 | − | 0.0547299i | −0.00872864 | − | 0.00256296i | ||||
\(457\) | 0.424962 | + | 0.930538i | 0.0198789 | + | 0.0435287i | 0.919311 | − | 0.393532i | \(-0.128747\pi\) |
−0.899432 | + | 0.437060i | \(0.856020\pi\) | |||||||
\(458\) | 1.34337 | − | 9.34333i | 0.0627715 | − | 0.436585i | ||||
\(459\) | −8.75944 | −0.408856 | ||||||||
\(460\) | 7.37210 | − | 0.799386i | 0.343726 | − | 0.0372716i | ||||
\(461\) | −41.4665 | −1.93129 | −0.965643 | − | 0.259872i | \(-0.916320\pi\) | ||||
−0.965643 | + | 0.259872i | \(0.916320\pi\) | |||||||
\(462\) | 0.207914 | − | 1.44607i | 0.00967302 | − | 0.0672773i | ||||
\(463\) | −5.77510 | − | 12.6457i | −0.268392 | − | 0.587696i | 0.726666 | − | 0.686990i | \(-0.241069\pi\) |
−0.995058 | + | 0.0992948i | \(0.968341\pi\) | |||||||
\(464\) | −3.14412 | − | 0.923198i | −0.145962 | − | 0.0428584i | ||||
\(465\) | 1.02041 | + | 1.17762i | 0.0473206 | + | 0.0546109i | ||||
\(466\) | −11.6767 | + | 3.42859i | −0.540914 | + | 0.158827i | ||||
\(467\) | −20.9082 | − | 13.4369i | −0.967514 | − | 0.621784i | −0.0414463 | − | 0.999141i | \(-0.513197\pi\) |
−0.926068 | + | 0.377357i | \(0.876833\pi\) | |||||||
\(468\) | −3.40572 | + | 7.45750i | −0.157430 | + | 0.344723i | ||||
\(469\) | 0.769529 | − | 0.888084i | 0.0355336 | − | 0.0410079i | ||||
\(470\) | 3.24429 | − | 2.08498i | 0.149648 | − | 0.0961730i | ||||
\(471\) | 0.825537 | + | 5.74174i | 0.0380387 | + | 0.264565i | ||||
\(472\) | 0.0613008 | + | 0.426356i | 0.00282160 | + | 0.0196246i | ||||
\(473\) | 15.8042 | − | 10.1568i | 0.726679 | − | 0.467009i | ||||
\(474\) | 2.50812 | − | 2.89452i | 0.115202 | − | 0.132950i | ||||
\(475\) | −0.679855 | + | 1.48867i | −0.0311939 | + | 0.0683051i | ||||
\(476\) | 4.02977 | + | 2.58978i | 0.184704 | + | 0.118702i | ||||
\(477\) | 9.05843 | − | 2.65980i | 0.414757 | − | 0.121784i | ||||
\(478\) | 4.66198 | + | 5.38021i | 0.213234 | + | 0.246085i | ||||
\(479\) | 17.7378 | + | 5.20828i | 0.810460 | + | 0.237973i | 0.660603 | − | 0.750735i | \(-0.270301\pi\) |
0.149857 | + | 0.988708i | \(0.452119\pi\) | |||||||
\(480\) | −0.198939 | − | 0.435615i | −0.00908027 | − | 0.0198830i | ||||
\(481\) | −1.12841 | + | 7.84824i | −0.0514509 | + | 0.357849i | ||||
\(482\) | 26.1245 | 1.18994 | ||||||||
\(483\) | −1.32886 | − | 0.663666i | −0.0604654 | − | 0.0301979i | ||||
\(484\) | 11.2496 | 0.511347 | ||||||||
\(485\) | 2.60324 | − | 18.1059i | 0.118207 | − | 0.822149i | ||||
\(486\) | 3.32698 | + | 7.28506i | 0.150915 | + | 0.330457i | ||||
\(487\) | 29.1675 | + | 8.56434i | 1.32170 | + | 0.388087i | 0.865107 | − | 0.501587i | \(-0.167250\pi\) |
0.456596 | + | 0.889674i | \(0.349068\pi\) | |||||||
\(488\) | −5.52478 | − | 6.37593i | −0.250095 | − | 0.288625i | ||||
\(489\) | −6.03721 | + | 1.77269i | −0.273012 | + | 0.0801636i | ||||
\(490\) | 1.30075 | + | 0.835939i | 0.0587617 | + | 0.0377639i | ||||
\(491\) | 15.8272 | − | 34.6568i | 0.714272 | − | 1.56404i | −0.107489 | − | 0.994206i | \(-0.534281\pi\) |
0.821761 | − | 0.569832i | \(-0.192992\pi\) | |||||||
\(492\) | −0.597718 | + | 0.689804i | −0.0269472 | + | 0.0310988i | ||||
\(493\) | −13.2050 | + | 8.48633i | −0.594722 | + | 0.382205i | ||||
\(494\) | 0.251992 | + | 1.75264i | 0.0113376 | + | 0.0788550i | ||||
\(495\) | −3.01429 | − | 20.9648i | −0.135482 | − | 0.942300i | ||||
\(496\) | −2.73727 | + | 1.75914i | −0.122907 | + | 0.0789876i | ||||
\(497\) | 3.53358 | − | 4.07797i | 0.158503 | − | 0.182922i | ||||
\(498\) | −1.73840 | + | 3.80656i | −0.0778995 | + | 0.170576i | ||||
\(499\) | −17.7033 | − | 11.3772i | −0.792509 | − | 0.509315i | 0.0806541 | − | 0.996742i | \(-0.474299\pi\) |
−0.873164 | + | 0.487427i | \(0.837935\pi\) | |||||||
\(500\) | −11.2889 | + | 3.31471i | −0.504853 | + | 0.148238i | ||||
\(501\) | −2.68420 | − | 3.09773i | −0.119921 | − | 0.138396i | ||||
\(502\) | 15.7709 | + | 4.63075i | 0.703889 | + | 0.206680i | ||||
\(503\) | 15.1545 | + | 33.1837i | 0.675706 | + | 1.47959i | 0.867130 | + | 0.498082i | \(0.165962\pi\) |
−0.191424 | + | 0.981507i | \(0.561311\pi\) | |||||||
\(504\) | 0.413293 | − | 2.87451i | 0.0184095 | − | 0.128041i | ||||
\(505\) | 27.6196 | 1.22906 | ||||||||
\(506\) | 7.12435 | − | 21.4706i | 0.316716 | − | 0.954483i | ||||
\(507\) | 1.55800 | 0.0691934 | ||||||||
\(508\) | −1.17532 | + | 8.17451i | −0.0521462 | + | 0.362685i | ||||
\(509\) | −13.5100 | − | 29.5828i | −0.598822 | − | 1.31124i | −0.929962 | − | 0.367655i | \(-0.880161\pi\) |
0.331141 | − | 0.943581i | \(-0.392567\pi\) | |||||||
\(510\) | −2.20106 | − | 0.646290i | −0.0974646 | − | 0.0286182i | ||||
\(511\) | −1.76685 | − | 2.03905i | −0.0781607 | − | 0.0902023i | ||||
\(512\) | 0.959493 | − | 0.281733i | 0.0424040 | − | 0.0124509i | ||||
\(513\) | 0.964864 | + | 0.620080i | 0.0425998 | + | 0.0273772i | ||||
\(514\) | 3.98266 | − | 8.72082i | 0.175668 | − | 0.384659i | ||||
\(515\) | −3.03578 | + | 3.50347i | −0.133772 | + | 0.154381i | ||||
\(516\) | −1.03773 | + | 0.666907i | −0.0456834 | + | 0.0293589i | ||||
\(517\) | −1.67432 | − | 11.6452i | −0.0736367 | − | 0.512154i | ||||
\(518\) | −0.399710 | − | 2.78005i | −0.0175623 | − | 0.122148i | ||||
\(519\) | 1.53633 | − | 0.987342i | 0.0674376 | − | 0.0433395i | ||||
\(520\) | −2.85848 | + | 3.29886i | −0.125352 | + | 0.144664i | ||||
\(521\) | −2.47038 | + | 5.40938i | −0.108229 | + | 0.236989i | −0.955996 | − | 0.293381i | \(-0.905220\pi\) |
0.847766 | + | 0.530370i | \(0.177947\pi\) | |||||||
\(522\) | 8.00557 | + | 5.14486i | 0.350394 | + | 0.225185i | ||||
\(523\) | 35.2966 | − | 10.3640i | 1.54341 | − | 0.453187i | 0.604289 | − | 0.796765i | \(-0.293457\pi\) |
0.939124 | + | 0.343578i | \(0.111639\pi\) | |||||||
\(524\) | −11.0287 | − | 12.7278i | −0.481792 | − | 0.556018i | ||||
\(525\) | 0.775410 | + | 0.227681i | 0.0338417 | + | 0.00993681i | ||||
\(526\) | −11.2625 | − | 24.6614i | −0.491068 | − | 1.07529i | ||||
\(527\) | −2.21817 | + | 15.4277i | −0.0966249 | + | 0.672041i | ||||
\(528\) | −1.46094 | −0.0635793 | ||||||||
\(529\) | −18.4376 | − | 13.7498i | −0.801633 | − | 0.597816i | ||||
\(530\) | 5.02655 | 0.218339 | ||||||||
\(531\) | 0.178022 | − | 1.23817i | 0.00772549 | − | 0.0537320i | ||||
\(532\) | −0.260554 | − | 0.570534i | −0.0112965 | − | 0.0247358i | ||||
\(533\) | 7.98249 | + | 2.34387i | 0.345760 | + | 0.101524i | ||||
\(534\) | −3.52973 | − | 4.07353i | −0.152746 | − | 0.176279i | ||||
\(535\) | −6.44508 | + | 1.89245i | −0.278645 | + | 0.0818175i | ||||
\(536\) | −0.988560 | − | 0.635309i | −0.0426993 | − | 0.0274412i | ||||
\(537\) | −2.38547 | + | 5.22345i | −0.102941 | + | 0.225408i | ||||
\(538\) | −14.5723 | + | 16.8173i | −0.628255 | + | 0.725045i | ||||
\(539\) | 3.96815 | − | 2.55018i | 0.170920 | − | 0.109844i | ||||
\(540\) | 0.402382 | + | 2.79863i | 0.0173158 | + | 0.120434i | ||||
\(541\) | 2.68694 | + | 18.6881i | 0.115521 | + | 0.803463i | 0.962392 | + | 0.271665i | \(0.0875743\pi\) |
−0.846871 | + | 0.531798i | \(0.821517\pi\) | |||||||
\(542\) | 10.3568 | − | 6.65589i | 0.444862 | − | 0.285895i | ||||
\(543\) | 0.821567 | − | 0.948139i | 0.0352568 | − | 0.0406885i | ||||
\(544\) | 1.98992 | − | 4.35731i | 0.0853171 | − | 0.186818i | ||||
\(545\) | −17.6575 | − | 11.3478i | −0.756365 | − | 0.486086i | ||||
\(546\) | 0.838944 | − | 0.246336i | 0.0359035 | − | 0.0105422i | ||||
\(547\) | −9.44485 | − | 10.8999i | −0.403833 | − | 0.466048i | 0.517012 | − | 0.855978i | \(-0.327044\pi\) |
−0.920844 | + | 0.389931i | \(0.872499\pi\) | |||||||
\(548\) | −2.76649 | − | 0.812314i | −0.118179 | − | 0.0347003i | ||||
\(549\) | 10.1778 | + | 22.2864i | 0.434379 | + | 0.951158i | ||||
\(550\) | −1.75158 | + | 12.1825i | −0.0746876 | + | 0.519464i | ||||
\(551\) | 2.05529 | 0.0875584 | ||||||||
\(552\) | −0.467794 | + | 1.40979i | −0.0199106 | + | 0.0600045i | ||||
\(553\) | 12.3660 | 0.525854 | ||||||||
\(554\) | −2.61876 | + | 18.2139i | −0.111260 | + | 0.773833i | ||||
\(555\) | 0.558746 | + | 1.22348i | 0.0237175 | + | 0.0519340i | ||||
\(556\) | 18.0007 | + | 5.28549i | 0.763401 | + | 0.224155i | ||||
\(557\) | −15.8409 | − | 18.2814i | −0.671202 | − | 0.774608i | 0.313362 | − | 0.949634i | \(-0.398545\pi\) |
−0.984564 | + | 0.175026i | \(0.943999\pi\) | |||||||
\(558\) | 9.06651 | − | 2.66217i | 0.383816 | − | 0.112699i | ||||
\(559\) | 9.45871 | + | 6.07874i | 0.400061 | + | 0.257103i | ||||
\(560\) | 0.642315 | − | 1.40647i | 0.0271428 | − | 0.0594343i | ||||
\(561\) | −4.58284 | + | 5.28888i | −0.193488 | + | 0.223297i | ||||
\(562\) | 23.4761 | − | 15.0871i | 0.990278 | − | 0.636413i | ||||
\(563\) | −0.198669 | − | 1.38178i | −0.00837292 | − | 0.0582349i | 0.985207 | − | 0.171371i | \(-0.0548196\pi\) |
−0.993580 | + | 0.113136i | \(0.963910\pi\) | |||||||
\(564\) | 0.109938 | + | 0.764638i | 0.00462924 | + | 0.0321971i | ||||
\(565\) | −24.5993 | + | 15.8090i | −1.03490 | + | 0.665090i | ||||
\(566\) | −10.2217 | + | 11.7965i | −0.429650 | + | 0.495842i | ||||
\(567\) | −3.38391 | + | 7.40973i | −0.142111 | + | 0.311179i | ||||
\(568\) | −4.53935 | − | 2.91726i | −0.190467 | − | 0.122406i | ||||
\(569\) | −34.9562 | + | 10.2641i | −1.46544 | + | 0.430292i | −0.914614 | − | 0.404328i | \(-0.867506\pi\) |
−0.550827 | + | 0.834620i | \(0.685687\pi\) | |||||||
\(570\) | 0.196699 | + | 0.227003i | 0.00823881 | + | 0.00950810i | ||||
\(571\) | −3.42329 | − | 1.00517i | −0.143260 | − | 0.0420651i | 0.209316 | − | 0.977848i | \(-0.432876\pi\) |
−0.352577 | + | 0.935783i | \(0.614694\pi\) | |||||||
\(572\) | 5.53176 | + | 12.1129i | 0.231295 | + | 0.506465i | ||||
\(573\) | −0.560841 | + | 3.90073i | −0.0234295 | + | 0.162956i | ||||
\(574\) | −2.94697 | −0.123004 | ||||||||
\(575\) | 11.1951 | + | 5.59109i | 0.466867 | + | 0.233165i | ||||
\(576\) | −2.90407 | −0.121003 | ||||||||
\(577\) | −1.40021 | + | 9.73865i | −0.0582914 | + | 0.405425i | 0.939696 | + | 0.342011i | \(0.111108\pi\) |
−0.997987 | + | 0.0634143i | \(0.979801\pi\) | |||||||
\(578\) | −2.47005 | − | 5.40865i | −0.102740 | − | 0.224970i | ||||
\(579\) | −5.16246 | − | 1.51583i | −0.214544 | − | 0.0629959i | ||||
\(580\) | 3.31797 | + | 3.82914i | 0.137771 | + | 0.158996i | ||||
\(581\) | −12.9640 | + | 3.80656i | −0.537835 | + | 0.157923i | ||||
\(582\) | 3.08246 | + | 1.98097i | 0.127772 | + | 0.0821140i | ||||
\(583\) | 6.37012 | − | 13.9486i | 0.263823 | − | 0.577693i | ||||
\(584\) | −1.76685 | + | 2.03905i | −0.0731126 | + | 0.0843765i | ||||
\(585\) | 10.6640 | − | 6.85333i | 0.440902 | − | 0.283351i | ||||
\(586\) | −1.01972 | − | 7.09233i | −0.0421243 | − | 0.292981i | ||||
\(587\) | 5.60969 | + | 39.0163i | 0.231537 | + | 1.61037i | 0.691460 | + | 0.722415i | \(0.256968\pi\) |
−0.459923 | + | 0.887959i | \(0.652123\pi\) | |||||||
\(588\) | −0.260554 | + | 0.167448i | −0.0107451 | + | 0.00690544i | ||||
\(589\) | 1.33646 | − | 1.54236i | 0.0550678 | − | 0.0635517i | ||||
\(590\) | 0.276671 | − | 0.605825i | 0.0113904 | − | 0.0249414i | ||||
\(591\) | −1.50275 | − | 0.965760i | −0.0618150 | − | 0.0397261i | ||||
\(592\) | −2.69487 | + | 0.791284i | −0.110758 | + | 0.0325216i | ||||
\(593\) | 17.6085 | + | 20.3213i | 0.723094 | + | 0.834495i | 0.991676 | − | 0.128762i | \(-0.0411004\pi\) |
−0.268582 | + | 0.963257i | \(0.586555\pi\) | |||||||
\(594\) | 8.27611 | + | 2.43009i | 0.339573 | + | 0.0997076i | ||||
\(595\) | −3.07681 | − | 6.73728i | −0.126137 | − | 0.276202i | ||||
\(596\) | 1.69376 | − | 11.7803i | 0.0693789 | − | 0.482541i | ||||
\(597\) | 1.82110 | 0.0745329 | ||||||||
\(598\) | 13.4600 | − | 1.45952i | 0.550421 | − | 0.0596843i | ||||
\(599\) | −40.2347 | −1.64394 | −0.821972 | − | 0.569528i | \(-0.807126\pi\) | ||||
−0.821972 | + | 0.569528i | \(0.807126\pi\) | |||||||
\(600\) | 0.115011 | − | 0.799919i | 0.00469531 | − | 0.0326566i | ||||
\(601\) | −13.4203 | − | 29.3863i | −0.547424 | − | 1.19869i | −0.957974 | − | 0.286854i | \(-0.907391\pi\) |
0.410550 | − | 0.911838i | \(-0.365337\pi\) | |||||||
\(602\) | −3.82144 | − | 1.12208i | −0.155750 | − | 0.0457324i | ||||
\(603\) | 2.23477 | + | 2.57906i | 0.0910068 | + | 0.105027i | ||||
\(604\) | 1.28638 | − | 0.377716i | 0.0523422 | − | 0.0153691i | ||||
\(605\) | −14.6329 | − | 9.40402i | −0.594913 | − | 0.382328i | ||||
\(606\) | −2.29829 | + | 5.03256i | −0.0933617 | + | 0.204434i | ||||
\(607\) | −15.4637 | + | 17.8461i | −0.627652 | + | 0.724349i | −0.977141 | − | 0.212591i | \(-0.931810\pi\) |
0.349489 | + | 0.936940i | \(0.386355\pi\) | |||||||
\(608\) | −0.527646 | + | 0.339098i | −0.0213989 | + | 0.0137522i | ||||
\(609\) | −0.144437 | − | 1.00458i | −0.00585289 | − | 0.0407078i | ||||
\(610\) | 1.85644 | + | 12.9118i | 0.0751652 | + | 0.522785i | ||||
\(611\) | 5.92345 | − | 3.80677i | 0.239637 | − | 0.154005i | ||||
\(612\) | −9.10982 | + | 10.5133i | −0.368243 | + | 0.424975i | ||||
\(613\) | −3.78968 | + | 8.29825i | −0.153064 | + | 0.335163i | −0.970594 | − | 0.240723i | \(-0.922616\pi\) |
0.817530 | + | 0.575886i | \(0.195343\pi\) | |||||||
\(614\) | 22.7251 | + | 14.6045i | 0.917111 | + | 0.589392i | ||||
\(615\) | 1.35411 | − | 0.397604i | 0.0546032 | − | 0.0160329i | ||||
\(616\) | −3.08895 | − | 3.56484i | −0.124457 | − | 0.143631i | ||||
\(617\) | −42.1265 | − | 12.3694i | −1.69595 | − | 0.497975i | −0.716147 | − | 0.697950i | \(-0.754096\pi\) |
−0.979801 | + | 0.199974i | \(0.935914\pi\) | |||||||
\(618\) | −0.385752 | − | 0.844680i | −0.0155172 | − | 0.0339780i | ||||
\(619\) | −3.33222 | + | 23.1761i | −0.133933 | + | 0.931525i | 0.806424 | + | 0.591337i | \(0.201400\pi\) |
−0.940357 | + | 0.340188i | \(0.889509\pi\) | |||||||
\(620\) | 5.03103 | 0.202051 | ||||||||
\(621\) | 4.99501 | − | 7.20821i | 0.200443 | − | 0.289255i | ||||
\(622\) | 18.0790 | 0.724902 | ||||||||
\(623\) | 2.47669 | − | 17.2258i | 0.0992265 | − | 0.690135i | ||||
\(624\) | −0.363223 | − | 0.795348i | −0.0145406 | − | 0.0318394i | ||||
\(625\) | 4.93699 | + | 1.44963i | 0.197480 | + | 0.0579853i | ||||
\(626\) | −1.24895 | − | 1.44136i | −0.0499180 | − | 0.0576084i | ||||
\(627\) | 0.879206 | − | 0.258158i | 0.0351121 | − | 0.0103098i | ||||
\(628\) | 15.7559 | + | 10.1257i | 0.628727 | + | 0.404058i | ||||
\(629\) | −5.58896 | + | 12.2381i | −0.222846 | + | 0.487965i | ||||
\(630\) | −2.94051 | + | 3.39353i | −0.117153 | + | 0.135201i | ||||
\(631\) | −6.77099 | + | 4.35145i | −0.269549 | + | 0.173228i | −0.668432 | − | 0.743773i | \(-0.733034\pi\) |
0.398883 | + | 0.917002i | \(0.369398\pi\) | |||||||
\(632\) | −1.75986 | − | 12.2401i | −0.0700035 | − | 0.486885i | ||||
\(633\) | −0.362663 | − | 2.52237i | −0.0144145 | − | 0.100255i | ||||
\(634\) | −12.2912 | + | 7.89907i | −0.488145 | + | 0.313712i | ||||
\(635\) | 8.36218 | − | 9.65047i | 0.331843 | − | 0.382967i | ||||
\(636\) | −0.418271 | + | 0.915885i | −0.0165855 | + | 0.0363172i | ||||
\(637\) | 2.37491 | + | 1.52626i | 0.0940973 | + | 0.0604727i | ||||
\(638\) | 14.8307 | − | 4.35468i | 0.587152 | − | 0.172403i | ||||
\(639\) | 10.2618 | + | 11.8427i | 0.405950 | + | 0.468491i | ||||
\(640\) | −1.48357 | − | 0.435615i | −0.0586432 | − | 0.0172192i | ||||
\(641\) | −9.18941 | − | 20.1220i | −0.362960 | − | 0.794771i | −0.999719 | − | 0.0237083i | \(-0.992453\pi\) |
0.636759 | − | 0.771063i | \(-0.280275\pi\) | |||||||
\(642\) | 0.191488 | − | 1.33183i | 0.00755744 | − | 0.0525631i | ||||
\(643\) | −11.3476 | −0.447507 | −0.223754 | − | 0.974646i | \(-0.571831\pi\) | ||||
−0.223754 | + | 0.974646i | \(0.571831\pi\) | |||||||
\(644\) | −4.42909 | + | 1.83933i | −0.174531 | + | 0.0724796i | ||||
\(645\) | 1.90731 | 0.0751004 | ||||||||
\(646\) | −0.427582 | + | 2.97390i | −0.0168230 | + | 0.117006i | ||||
\(647\) | 16.1894 | + | 35.4498i | 0.636471 | + | 1.39368i | 0.902912 | + | 0.429826i | \(0.141425\pi\) |
−0.266441 | + | 0.963851i | \(0.585848\pi\) | |||||||
\(648\) | 7.81589 | + | 2.29495i | 0.307037 | + | 0.0901543i | ||||
\(649\) | −1.33054 | − | 1.53552i | −0.0522281 | − | 0.0602744i | ||||
\(650\) | −7.06773 | + | 2.07527i | −0.277219 | + | 0.0813989i | ||||
\(651\) | −0.847791 | − | 0.544842i | −0.0332276 | − | 0.0213541i | ||||
\(652\) | −8.43928 | + | 18.4794i | −0.330508 | + | 0.723711i | ||||
\(653\) | 22.9014 | − | 26.4297i | 0.896202 | − | 1.03427i | −0.103014 | − | 0.994680i | \(-0.532849\pi\) |
0.999216 | − | 0.0395925i | \(-0.0126060\pi\) | |||||||
\(654\) | 3.53700 | − | 2.27309i | 0.138308 | − | 0.0888849i | ||||
\(655\) | 3.70589 | + | 25.7750i | 0.144801 | + | 1.00711i | ||||
\(656\) | 0.419398 | + | 2.91698i | 0.0163748 | + | 0.113889i | ||||
\(657\) | 6.59150 | − | 4.23610i | 0.257159 | − | 0.165266i | ||||
\(658\) | −1.63334 | + | 1.88497i | −0.0636742 | + | 0.0734840i | ||||
\(659\) | −12.9425 | + | 28.3401i | −0.504168 | + | 1.10397i | 0.470924 | + | 0.882174i | \(0.343921\pi\) |
−0.975092 | + | 0.221801i | \(0.928807\pi\) | |||||||
\(660\) | 1.90031 | + | 1.22126i | 0.0739696 | + | 0.0475374i | ||||
\(661\) | −22.4240 | + | 6.58429i | −0.872194 | + | 0.256099i | −0.687048 | − | 0.726612i | \(-0.741094\pi\) |
−0.185146 | + | 0.982711i | \(0.559276\pi\) | |||||||
\(662\) | −14.3632 | − | 16.5760i | −0.558240 | − | 0.644244i | ||||
\(663\) | −4.01871 | − | 1.18000i | −0.156074 | − | 0.0458273i | ||||
\(664\) | 5.61278 | + | 12.2903i | 0.217818 | + | 0.476955i | ||||
\(665\) | −0.138017 | + | 0.959928i | −0.00535206 | + | 0.0372244i | ||||
\(666\) | 8.15648 | 0.316057 | ||||||||
\(667\) | 0.546588 | − | 15.7058i | 0.0211640 | − | 0.608129i | ||||
\(668\) | −13.2341 | −0.512042 | ||||||||
\(669\) | 0.939936 | − | 6.53740i | 0.0363400 | − | 0.252750i | ||||
\(670\) | 0.754787 | + | 1.65275i | 0.0291599 | + | 0.0638514i | ||||
\(671\) | 38.1829 | + | 11.2115i | 1.47404 | + | 0.432816i | ||||
\(672\) | 0.202824 | + | 0.234072i | 0.00782412 | + | 0.00902952i | ||||
\(673\) | −2.70982 | + | 0.795675i | −0.104456 | + | 0.0306710i | −0.333543 | − | 0.942735i | \(-0.608244\pi\) |
0.229087 | + | 0.973406i | \(0.426426\pi\) | |||||||
\(674\) | −1.95183 | − | 1.25437i | −0.0751817 | − | 0.0483164i | ||||
\(675\) | −1.98209 | + | 4.34017i | −0.0762907 | + | 0.167053i | ||||
\(676\) | 3.29417 | − | 3.80168i | 0.126699 | − | 0.146218i | ||||
\(677\) | −5.14486 | + | 3.30640i | −0.197733 | + | 0.127075i | −0.635761 | − | 0.771886i | \(-0.719313\pi\) |
0.438028 | + | 0.898961i | \(0.355677\pi\) | |||||||
\(678\) | −0.833588 | − | 5.79773i | −0.0320138 | − | 0.222661i | ||||
\(679\) | 1.68364 | + | 11.7100i | 0.0646121 | + | 0.449387i | ||||
\(680\) | −6.23083 | + | 4.00431i | −0.238941 | + | 0.153558i | ||||
\(681\) | −1.47186 | + | 1.69861i | −0.0564017 | + | 0.0650910i | ||||
\(682\) | 6.37580 | − | 13.9610i | 0.244142 | − | 0.534596i | ||||
\(683\) | −26.8756 | − | 17.2719i | −1.02837 | − | 0.660891i | −0.0862829 | − | 0.996271i | \(-0.527499\pi\) |
−0.942083 | + | 0.335380i | \(0.891135\pi\) | |||||||
\(684\) | 1.74769 | − | 0.513169i | 0.0668247 | − | 0.0196215i | ||||
\(685\) | 2.91945 | + | 3.36923i | 0.111547 | + | 0.128732i | ||||
\(686\) | −0.959493 | − | 0.281733i | −0.0366336 | − | 0.0107566i | ||||
\(687\) | −1.21450 | − | 2.65939i | −0.0463362 | − | 0.101462i | ||||
\(688\) | −0.566807 | + | 3.94223i | −0.0216093 | + | 0.150296i | ||||
\(689\) | 9.17749 | 0.349634 | ||||||||
\(690\) | 1.78698 | − | 1.44273i | 0.0680291 | − | 0.0549237i | ||||
\(691\) | −21.5291 | −0.819007 | −0.409504 | − | 0.912309i | \(-0.634298\pi\) | ||||
−0.409504 | + | 0.912309i | \(0.634298\pi\) | |||||||
\(692\) | 0.839146 | − | 5.83639i | 0.0318996 | − | 0.221866i | ||||
\(693\) | 5.69051 | + | 12.4605i | 0.216165 | + | 0.473334i | ||||
\(694\) | 14.0443 | + | 4.12379i | 0.533116 | + | 0.156537i | ||||
\(695\) | −18.9960 | − | 21.9226i | −0.720561 | − | 0.831572i | ||||
\(696\) | −0.973802 | + | 0.285934i | −0.0369119 | + | 0.0108383i | ||||
\(697\) | 11.8756 | + | 7.63200i | 0.449821 | + | 0.289083i | ||||
\(698\) | −8.45353 | + | 18.5106i | −0.319971 | + | 0.700638i | ||||
\(699\) | −2.46831 | + | 2.84858i | −0.0933600 | + | 0.107743i | ||||
\(700\) | 2.19505 | − | 1.41067i | 0.0829652 | − | 0.0533185i | ||||
\(701\) | −0.686185 | − | 4.77252i | −0.0259169 | − | 0.180256i | 0.972751 | − | 0.231851i | \(-0.0744783\pi\) |
−0.998668 | + | 0.0515958i | \(0.983569\pi\) | |||||||
\(702\) | 0.734671 | + | 5.10975i | 0.0277284 | + | 0.192855i | ||||
\(703\) | 1.48197 | − | 0.952402i | 0.0558934 | − | 0.0359205i | ||||
\(704\) | −3.08895 | + | 3.56484i | −0.116419 | + | 0.134355i | ||||
\(705\) | 0.496189 | − | 1.08650i | 0.0186875 | − | 0.0409200i | ||||
\(706\) | −14.2068 | − | 9.13018i | −0.534682 | − | 0.343619i | ||||
\(707\) | −17.1393 | + | 5.03256i | −0.644590 | + | 0.189269i | ||||
\(708\) | 0.0873647 | + | 0.100824i | 0.00328337 | + | 0.00378921i | ||||
\(709\) | 12.5210 | + | 3.67651i | 0.470238 | + | 0.138074i | 0.508262 | − | 0.861203i | \(-0.330288\pi\) |
−0.0380243 | + | 0.999277i | \(0.512106\pi\) | |||||||
\(710\) | 3.46589 | + | 7.58924i | 0.130072 | + | 0.284819i | ||||
\(711\) | −5.11076 | + | 35.5461i | −0.191669 | + | 1.33308i | ||||
\(712\) | −17.4029 | −0.652201 | ||||||||
\(713\) | −11.4307 | − | 10.6229i | −0.428082 | − | 0.397830i | ||||
\(714\) | 1.48363 | 0.0555233 | ||||||||
\(715\) | 2.93020 | − | 20.3800i | 0.109583 | − | 0.762169i | ||||
\(716\) | 7.70198 | + | 16.8650i | 0.287836 | + | 0.630274i | ||||
\(717\) | 2.11560 | + | 0.621197i | 0.0790087 | + | 0.0231990i | ||||
\(718\) | −19.6918 | − | 22.7256i | −0.734892 | − | 0.848111i | ||||
\(719\) | 13.7935 | − | 4.05014i | 0.514411 | − | 0.151045i | −0.0142160 | − | 0.999899i | \(-0.504525\pi\) |
0.528627 | + | 0.848854i | \(0.322707\pi\) | |||||||
\(720\) | 3.77746 | + | 2.42763i | 0.140778 | + | 0.0904723i | ||||
\(721\) | 1.24548 | − | 2.72722i | 0.0463842 | − | 0.101567i | ||||
\(722\) | −12.1847 | + | 14.0619i | −0.453469 | + | 0.523331i | ||||
\(723\) | 6.80684 | − | 4.37449i | 0.253149 | − | 0.162689i | ||||
\(724\) | −0.576465 | − | 4.00940i | −0.0214241 | − | 0.149008i | ||||
\(725\) | 1.21682 | + | 8.46316i | 0.0451915 | + | 0.314314i | ||||
\(726\) | 2.93114 | − | 1.88373i | 0.108785 | − | 0.0699118i | ||||
\(727\) | −27.3960 | + | 31.6167i | −1.01606 | + | 1.17260i | −0.0311549 | + | 0.999515i | \(0.509919\pi\) |
−0.984907 | + | 0.173084i | \(0.944627\pi\) | |||||||
\(728\) | 1.17274 | − | 2.56794i | 0.0434647 | − | 0.0951744i | ||||
\(729\) | −18.4715 | − | 11.8709i | −0.684128 | − | 0.439663i | ||||
\(730\) | 4.00274 | − | 1.17531i | 0.148148 | − | 0.0435002i | ||||
\(731\) | 12.4936 | + | 14.4184i | 0.462092 | + | 0.533283i | ||||
\(732\) | −2.50714 | − | 0.736163i | −0.0926666 | − | 0.0272094i | ||||
\(733\) | −8.91794 | − | 19.5276i | −0.329392 | − | 0.721267i | 0.670393 | − | 0.742006i | \(-0.266125\pi\) |
−0.999785 | + | 0.0207389i | \(0.993398\pi\) | |||||||
\(734\) | 4.62907 | − | 32.1959i | 0.170862 | − | 1.18837i | ||||
\(735\) | 0.478891 | 0.0176642 | ||||||||
\(736\) | 2.45093 | + | 4.12225i | 0.0903425 | + | 0.151948i | ||||
\(737\) | 5.54291 | 0.204176 | ||||||||
\(738\) | 1.21796 | − | 8.47112i | 0.0448338 | − | 0.311826i | ||||
\(739\) | 12.5255 | + | 27.4270i | 0.460758 | + | 1.00892i | 0.987314 | + | 0.158778i | \(0.0507555\pi\) |
−0.526557 | + | 0.850140i | \(0.676517\pi\) | |||||||
\(740\) | 4.16680 | + | 1.22348i | 0.153175 | + | 0.0449762i | ||||
\(741\) | 0.359134 | + | 0.414462i | 0.0131931 | + | 0.0152257i | ||||
\(742\) | −3.11922 | + | 0.915885i | −0.114510 | + | 0.0336232i | ||||
\(743\) | 4.34631 | + | 2.79320i | 0.159451 | + | 0.102473i | 0.617933 | − | 0.786231i | \(-0.287970\pi\) |
−0.458482 | + | 0.888704i | \(0.651607\pi\) | |||||||
\(744\) | −0.418643 | + | 0.916701i | −0.0153482 | + | 0.0336079i | ||||
\(745\) | −12.0508 | + | 13.9073i | −0.441506 | + | 0.509526i | ||||
\(746\) | 17.4346 | − | 11.2046i | 0.638327 | − | 0.410228i | ||||
\(747\) | −5.58410 | − | 38.8383i | −0.204312 | − | 1.42102i | ||||
\(748\) | 3.21562 | + | 22.3651i | 0.117575 | + | 0.817750i | ||||
\(749\) | 3.65466 | − | 2.34871i | 0.133538 | − | 0.0858200i | ||||
\(750\) | −2.38632 | + | 2.75396i | −0.0871361 | + | 0.100560i | ||||
\(751\) | −9.58432 | + | 20.9867i | −0.349737 | + | 0.765817i | 0.650245 | + | 0.759725i | \(0.274666\pi\) |
−0.999981 | + | 0.00609204i | \(0.998061\pi\) | |||||||
\(752\) | 2.09824 | + | 1.34845i | 0.0765148 | + | 0.0491731i | ||||
\(753\) | 4.88458 | − | 1.43424i | 0.178004 | − | 0.0522667i | ||||
\(754\) | 6.05796 | + | 6.99126i | 0.220618 | + | 0.254607i | ||||
\(755\) | −1.98901 | − | 0.584025i | −0.0723874 | − | 0.0212549i | ||||
\(756\) | −0.759635 | − | 1.66337i | −0.0276277 | − | 0.0604962i | ||||
\(757\) | −2.31915 | + | 16.1300i | −0.0842908 | + | 0.586255i | 0.903277 | + | 0.429059i | \(0.141155\pi\) |
−0.987567 | + | 0.157197i | \(0.949754\pi\) | |||||||
\(758\) | −9.56251 | −0.347326 | ||||||||
\(759\) | −1.73893 | − | 6.78721i | −0.0631191 | − | 0.246360i | ||||
\(760\) | 0.969799 | 0.0351783 | ||||||||
\(761\) | −6.41320 | + | 44.6048i | −0.232478 | + | 1.61692i | 0.454846 | + | 0.890570i | \(0.349694\pi\) |
−0.687324 | + | 0.726351i | \(0.741215\pi\) | |||||||
\(762\) | 1.06257 | + | 2.32671i | 0.0384929 | + | 0.0842877i | ||||
\(763\) | 13.0250 | + | 3.82449i | 0.471538 | + | 0.138456i | ||||
\(764\) | 8.33234 | + | 9.61604i | 0.301454 | + | 0.347896i | ||||
\(765\) | 20.6380 | − | 6.05987i | 0.746170 | − | 0.219095i | ||||
\(766\) | 14.7406 | + | 9.47321i | 0.532599 | + | 0.342281i | ||||
\(767\) | 0.505147 | − | 1.10612i | 0.0182398 | − | 0.0399396i | ||||
\(768\) | 0.202824 | − | 0.234072i | 0.00731880 | − | 0.00844634i | ||||
\(769\) | −32.6962 | + | 21.0125i | −1.17905 | + | 0.757732i | −0.975212 | − | 0.221272i | \(-0.928979\pi\) |
−0.203842 | + | 0.979004i | \(0.565343\pi\) | |||||||
\(770\) | 1.03795 | + | 7.21912i | 0.0374052 | + | 0.260159i | ||||
\(771\) | −0.422584 | − | 2.93914i | −0.0152190 | − | 0.105850i | ||||
\(772\) | −14.6140 | + | 9.39187i | −0.525971 | + | 0.338021i | ||||
\(773\) | 28.8929 | − | 33.3441i | 1.03920 | − | 1.19931i | 0.0596300 | − | 0.998221i | \(-0.481008\pi\) |
0.979574 | − | 0.201085i | \(-0.0644466\pi\) | |||||||
\(774\) | 4.80479 | − | 10.5210i | 0.172705 | − | 0.378171i | ||||
\(775\) | 7.14226 | + | 4.59005i | 0.256558 | + | 0.164880i | ||||
\(776\) | 11.3512 | − | 3.33300i | 0.407483 | − | 0.119648i | ||||
\(777\) | −0.569660 | − | 0.657423i | −0.0204364 | − | 0.0235849i | ||||
\(778\) | 5.98415 | + | 1.75710i | 0.214542 | + | 0.0629952i | ||||
\(779\) | −0.767847 | − | 1.68135i | −0.0275110 | − | 0.0602406i | ||||
\(780\) | −0.192401 | + | 1.33818i | −0.00688906 | + | 0.0479145i | ||||
\(781\) | 25.4524 | 0.910757 | ||||||||
\(782\) | 22.6117 | + | 4.05830i | 0.808592 | + | 0.145125i | ||||
\(783\) | 5.99212 | 0.214141 | ||||||||
\(784\) | −0.142315 | + | 0.989821i | −0.00508267 | + | 0.0353508i | ||||
\(785\) | −12.0299 | − | 26.3419i | −0.429367 | − | 0.940182i | ||||
\(786\) | −5.00483 | − | 1.46955i | −0.178516 | − | 0.0524172i | ||||
\(787\) | 16.6058 | + | 19.1641i | 0.591933 | + | 0.683127i | 0.970126 | − | 0.242600i | \(-0.0780001\pi\) |
−0.378194 | + | 0.925726i | \(0.623455\pi\) | |||||||
\(788\) | −5.53389 | + | 1.62490i | −0.197137 | + | 0.0578846i | ||||
\(789\) | −7.06400 | − | 4.53976i | −0.251485 | − | 0.161620i | ||||
\(790\) | −7.94284 | + | 17.3924i | −0.282594 | + | 0.618794i | ||||
\(791\) | 12.3845 | − | 14.2925i | 0.440343 | − | 0.508183i | ||||
\(792\) | 11.5238 | − | 7.40590i | 0.409481 | − | 0.263157i | ||||
\(793\) | 3.38950 | + | 23.5745i | 0.120365 | + | 0.837155i | ||||
\(794\) | −2.47735 | − | 17.2304i | −0.0879180 | − | 0.611483i | ||||
\(795\) | 1.30969 | − | 0.841685i | 0.0464498 | − | 0.0298515i | ||||
\(796\) | 3.85046 | − | 4.44367i | 0.136476 | − | 0.157502i | ||||
\(797\) | −2.96116 | + | 6.48403i | −0.104890 | + | 0.229676i | −0.954799 | − | 0.297253i | \(-0.903929\pi\) |
0.849909 | + | 0.526929i | \(0.176657\pi\) | |||||||
\(798\) | −0.163423 | − | 0.105026i | −0.00578513 | − | 0.00371787i | ||||
\(799\) | 11.4636 | − | 3.36603i | 0.405555 | − | 0.119082i | ||||
\(800\) | −1.70870 | − | 1.97195i | −0.0604118 | − | 0.0697190i | ||||
\(801\) | 48.4921 | + | 14.2386i | 1.71338 | + | 0.503095i | ||||
\(802\) | −3.91941 | − | 8.58232i | −0.138399 | − | 0.303052i | ||||
\(803\) | 1.81118 | − | 12.5970i | 0.0639152 | − | 0.444540i | ||||
\(804\) | −0.363955 | −0.0128357 | ||||||||
\(805\) | 7.29869 | + | 1.30996i | 0.257245 | + | 0.0461699i | ||||
\(806\) | 9.18567 | 0.323551 | ||||||||
\(807\) | −0.980843 | + | 6.82191i | −0.0345273 | + | 0.240143i | ||||
\(808\) | 7.42051 | + | 16.2486i | 0.261053 | + | 0.571625i | ||||
\(809\) | 25.3839 | + | 7.45340i | 0.892452 | + | 0.262047i | 0.695637 | − | 0.718393i | \(-0.255122\pi\) |
0.196814 | + | 0.980441i | \(0.436940\pi\) | |||||||
\(810\) | −8.24805 | − | 9.51876i | −0.289807 | − | 0.334455i | ||||
\(811\) | 37.0218 | − | 10.8706i | 1.30001 | − | 0.381718i | 0.442771 | − | 0.896635i | \(-0.353995\pi\) |
0.857240 | + | 0.514917i | \(0.172177\pi\) | |||||||
\(812\) | −2.75667 | − | 1.77160i | −0.0967401 | − | 0.0621711i | ||||
\(813\) | 1.58399 | − | 3.46844i | 0.0555528 | − | 0.121644i | ||||
\(814\) | 8.67573 | − | 10.0123i | 0.304084 | − | 0.350932i | ||||
\(815\) | 26.4251 | − | 16.9824i | 0.925629 | − | 0.594866i | ||||
\(816\) | −0.211142 | − | 1.46853i | −0.00739145 | − | 0.0514087i | ||||
\(817\) | −0.355510 | − | 2.47262i | −0.0124377 | − | 0.0865061i | ||||
\(818\) | −0.825526 | + | 0.530533i | −0.0288638 | + | 0.0185497i | ||||
\(819\) | −5.36879 | + | 6.19591i | −0.187601 | + | 0.216503i | ||||
\(820\) | 1.89289 | − | 4.14484i | 0.0661024 | − | 0.144744i | ||||
\(821\) | 29.9702 | + | 19.2607i | 1.04597 | + | 0.672203i | 0.946456 | − | 0.322834i | \(-0.104635\pi\) |
0.0995122 | + | 0.995036i | \(0.468272\pi\) | |||||||
\(822\) | −0.856841 | + | 0.251591i | −0.0298858 | + | 0.00877525i | ||||
\(823\) | 18.3076 | + | 21.1282i | 0.638165 | + | 0.736481i | 0.979049 | − | 0.203624i | \(-0.0652720\pi\) |
−0.340885 | + | 0.940105i | \(0.610727\pi\) | |||||||
\(824\) | −2.87672 | − | 0.844680i | −0.100215 | − | 0.0294258i | ||||
\(825\) | 1.58355 | + | 3.46750i | 0.0551323 | + | 0.120723i | ||||
\(826\) | −0.0613008 | + | 0.426356i | −0.00213293 | + | 0.0148348i | ||||
\(827\) | −53.2321 | −1.85106 | −0.925531 | − | 0.378672i | \(-0.876381\pi\) | ||||
−0.925531 | + | 0.378672i | \(0.876381\pi\) | |||||||
\(828\) | −3.45666 | − | 13.4917i | −0.120127 | − | 0.468868i | ||||
\(829\) | −42.1909 | −1.46535 | −0.732676 | − | 0.680578i | \(-0.761729\pi\) | ||||
−0.732676 | + | 0.680578i | \(0.761729\pi\) | |||||||
\(830\) | 2.97311 | − | 20.6785i | 0.103198 | − | 0.717760i | ||||
\(831\) | 2.36755 | + | 5.18421i | 0.0821294 | + | 0.179838i | ||||
\(832\) | −2.70870 | − | 0.795348i | −0.0939074 | − | 0.0275737i | ||||
\(833\) | 3.13691 | + | 3.62019i | 0.108688 | + | 0.125432i | ||||
\(834\) | 5.57522 | − | 1.63703i | 0.193054 | − | 0.0566857i | ||||
\(835\) | 17.2142 | + | 11.0629i | 0.595722 | + | 0.382847i | ||||
\(836\) | 1.22902 | − | 2.69118i | 0.0425066 | − | 0.0930765i | ||||
\(837\) | 3.89639 | − | 4.49668i | 0.134679 | − | 0.155428i | ||||
\(838\) | −12.2315 | + | 7.86069i | −0.422529 | + | 0.271543i | ||||
\(839\) | −3.31810 | − | 23.0779i | −0.114553 | − | 0.796737i | −0.963394 | − | 0.268088i | \(-0.913608\pi\) |
0.848841 | − | 0.528648i | \(-0.177301\pi\) | |||||||
\(840\) | −0.0681534 | − | 0.474017i | −0.00235151 | − | 0.0163551i | ||||
\(841\) | −15.3631 | + | 9.87329i | −0.529763 | + | 0.340458i | ||||
\(842\) | −16.9855 | + | 19.6023i | −0.585360 | + | 0.675541i | ||||
\(843\) | 3.59047 | − | 7.86204i | 0.123662 | − | 0.270783i | ||||
\(844\) | −6.92163 | − | 4.44826i | −0.238252 | − | 0.153115i | ||||
\(845\) | −7.46285 | + | 2.19129i | −0.256730 | + | 0.0753827i | ||||
\(846\) | −4.74334 | − | 5.47410i | −0.163079 | − | 0.188204i | ||||
\(847\) | 10.7940 | + | 3.16939i | 0.370885 | + | 0.108902i | ||||
\(848\) | 1.35047 | + | 2.95712i | 0.0463755 | + | 0.101548i | ||||
\(849\) | −0.688011 | + | 4.78522i | −0.0236125 | + | 0.164228i | ||||
\(850\) | −12.4989 | −0.428708 | ||||||||
\(851\) | −6.88377 | − | 11.5779i | −0.235973 | − | 0.396885i | ||||
\(852\) | −1.67124 | −0.0572556 | ||||||||
\(853\) | 0.146610 | − | 1.01969i | 0.00501982 | − | 0.0349136i | −0.987158 | − | 0.159750i | \(-0.948931\pi\) |
0.992177 | + | 0.124836i | \(0.0398404\pi\) | |||||||
\(854\) | −3.50468 | − | 7.67417i | −0.119928 | − | 0.262605i | ||||
\(855\) | −2.70228 | − | 0.793462i | −0.0924162 | − | 0.0271358i | ||||
\(856\) | −2.84492 | − | 3.28321i | −0.0972372 | − | 0.112218i | ||||
\(857\) | 20.3075 | − | 5.96283i | 0.693693 | − | 0.203687i | 0.0841656 | − | 0.996452i | \(-0.473178\pi\) |
0.609527 | + | 0.792765i | \(0.291359\pi\) | |||||||
\(858\) | 3.46960 | + | 2.22978i | 0.118450 | + | 0.0761234i | ||||
\(859\) | 17.2525 | − | 37.7777i | 0.588647 | − | 1.28896i | −0.347609 | − | 0.937640i | \(-0.613006\pi\) |
0.936256 | − | 0.351318i | \(-0.114267\pi\) | |||||||
\(860\) | 4.03274 | − | 4.65402i | 0.137515 | − | 0.158701i | ||||
\(861\) | −0.767847 | + | 0.493465i | −0.0261682 | + | 0.0168173i | ||||
\(862\) | −0.478302 | − | 3.32667i | −0.0162910 | − | 0.113307i | ||||
\(863\) | −5.34172 | − | 37.1525i | −0.181834 | − | 1.26469i | −0.852421 | − | 0.522855i | \(-0.824867\pi\) |
0.670587 | − | 0.741831i | \(-0.266042\pi\) | |||||||
\(864\) | −1.53833 | + | 0.988626i | −0.0523351 | + | 0.0336337i | ||||
\(865\) | −5.97038 | + | 6.89019i | −0.202999 | + | 0.234273i | ||||
\(866\) | −10.4430 | + | 22.8669i | −0.354866 | + | 0.777049i | ||||
\(867\) | −1.54925 | − | 0.995641i | −0.0526152 | − | 0.0338138i | ||||
\(868\) | −3.12200 | + | 0.916701i | −0.105967 | + | 0.0311149i | ||||
\(869\) | 38.1978 | + | 44.0826i | 1.29577 | + | 1.49540i | ||||
\(870\) | 1.50569 | + | 0.442111i | 0.0510478 | + | 0.0149890i | ||||
\(871\) | 1.37809 | + | 3.01760i | 0.0466949 | + | 0.102248i | ||||
\(872\) | 1.93191 | − | 13.4367i | 0.0654228 | − | 0.455025i | ||||
\(873\) | −34.3563 | −1.16278 | ||||||||
\(874\) | −2.20342 | − | 2.04771i | −0.0745317 | − | 0.0692647i | ||||
\(875\) | −11.7654 | −0.397745 | ||||||||
\(876\) | −0.118925 | + | 0.827138i | −0.00401809 | + | 0.0279464i | ||||
\(877\) | −2.77814 | − | 6.08328i | −0.0938112 | − | 0.205418i | 0.856909 | − | 0.515467i | \(-0.172382\pi\) |
−0.950720 | + | 0.310050i | \(0.899654\pi\) | |||||||
\(878\) | −31.6743 | − | 9.30042i | −1.06896 | − | 0.313874i | ||||
\(879\) | −1.45329 | − | 1.67719i | −0.0490182 | − | 0.0565701i | ||||
\(880\) | 6.99792 | − | 2.05478i | 0.235900 | − | 0.0692665i | ||||
\(881\) | −37.9573 | − | 24.3937i | −1.27882 | − | 0.821845i | −0.288074 | − | 0.957608i | \(-0.593015\pi\) |
−0.990741 | + | 0.135763i | \(0.956651\pi\) | |||||||
\(882\) | 1.20640 | − | 2.64164i | 0.0406214 | − | 0.0889486i | ||||
\(883\) | 26.7322 | − | 30.8506i | 0.899611 | − | 1.03821i | −0.0994570 | − | 0.995042i | \(-0.531711\pi\) |
0.999068 | − | 0.0431646i | \(-0.0137440\pi\) | |||||||
\(884\) | −11.3763 | + | 7.31109i | −0.382625 | + | 0.245898i | ||||
\(885\) | −0.0293564 | − | 0.204178i | −0.000986805 | − | 0.00686338i | ||||
\(886\) | 0.931195 | + | 6.47661i | 0.0312841 | + | 0.217586i | ||||
\(887\) | −14.8122 | + | 9.51922i | −0.497345 | + | 0.319624i | −0.765153 | − | 0.643848i | \(-0.777337\pi\) |
0.267808 | + | 0.963472i | \(0.413701\pi\) | |||||||
\(888\) | −0.569660 | + | 0.657423i | −0.0191165 | + | 0.0220617i | ||||
\(889\) | −3.43073 | + | 7.51226i | −0.115063 | + | 0.251953i | ||||
\(890\) | 22.6368 | + | 14.5478i | 0.758786 | + | 0.487642i | ||||
\(891\) | −36.8672 | + | 10.8252i | −1.23510 | + | 0.362657i | ||||
\(892\) | −13.9645 | − | 16.1159i | −0.467567 | − | 0.539601i | ||||
\(893\) | −1.50102 | − | 0.440738i | −0.0502296 | − | 0.0147487i | ||||
\(894\) | −1.53128 | − | 3.35303i | −0.0512136 | − | 0.112142i | ||||
\(895\) | 4.07977 | − | 28.3754i | 0.136372 | − | 0.948487i | ||||
\(896\) | 1.00000 | 0.0334077 | ||||||||
\(897\) | 3.26267 | − | 2.63414i | 0.108937 | − | 0.0879513i | ||||
\(898\) | −17.0353 | −0.568477 | ||||||||
\(899\) | 1.51739 | − | 10.5537i | 0.0506079 | − | 0.351986i | ||||
\(900\) | 3.14780 | + | 6.89273i | 0.104927 | + | 0.229758i | ||||
\(901\) | 14.9417 | + | 4.38727i | 0.497779 | + | 0.146161i | ||||
\(902\) | −9.10305 | − | 10.5055i | −0.303098 | − | 0.349794i | ||||
\(903\) | −1.18358 | + | 0.347531i | −0.0393871 | + | 0.0115651i | ||||
\(904\) | −15.9095 | − | 10.2244i | −0.529143 | − | 0.340059i | ||||
\(905\) | −2.60178 | + | 5.69710i | −0.0864861 | + | 0.189378i | ||||
\(906\) | 0.271925 | − | 0.313818i | 0.00903410 | − | 0.0104259i | ||||
\(907\) | 11.3132 | − | 7.27057i | 0.375650 | − | 0.241415i | −0.339169 | − | 0.940726i | \(-0.610146\pi\) |
0.714818 | + | 0.699310i | \(0.246509\pi\) | |||||||
\(908\) | 1.03275 | + | 7.18294i | 0.0342730 | + | 0.238374i | ||||
\(909\) | −7.38260 | − | 51.3471i | −0.244865 | − | 1.70308i | ||||
\(910\) | −3.67208 | + | 2.35990i | −0.121728 | + | 0.0782301i | ||||
\(911\) | −14.8470 | + | 17.1344i | −0.491904 | + | 0.567688i | −0.946373 | − | 0.323075i | \(-0.895283\pi\) |
0.454469 | + | 0.890762i | \(0.349829\pi\) | |||||||
\(912\) | −0.0806993 | + | 0.176707i | −0.00267222 | + | 0.00585134i | ||||
\(913\) | −53.6147 | − | 34.4561i | −1.77439 | − | 1.14033i | ||||
\(914\) | 0.981545 | − | 0.288208i | 0.0324666 | − | 0.00953306i | ||||
\(915\) | 2.64577 | + | 3.05338i | 0.0874664 | + | 0.100942i | ||||
\(916\) | −9.05705 | − | 2.65939i | −0.299253 | − | 0.0878687i | ||||
\(917\) | −6.99614 | − | 15.3194i | −0.231033 | − | 0.505892i | ||||
\(918\) | −1.24660 | + | 8.67028i | −0.0411439 | + | 0.286162i | ||||
\(919\) | 10.6409 | 0.351012 | 0.175506 | − | 0.984478i | \(-0.443844\pi\) | ||||
0.175506 | + | 0.984478i | \(0.443844\pi\) | |||||||
\(920\) | 0.257910 | − | 7.41083i | 0.00850305 | − | 0.244328i | ||||
\(921\) | 8.36663 | 0.275690 | ||||||||
\(922\) | −5.90130 | + | 41.0444i | −0.194349 | + | 1.35173i | ||||
\(923\) | 6.32803 | + | 13.8565i | 0.208290 | + | 0.456091i | ||||
\(924\) | −1.40176 | − | 0.411595i | −0.0461146 | − | 0.0135405i | ||||
\(925\) | 4.79913 | + | 5.53849i | 0.157794 | + | 0.182104i | ||||
\(926\) | −13.3389 | + | 3.91665i | −0.438342 | + | 0.128709i | ||||
\(927\) | 7.32469 | + | 4.70730i | 0.240575 | + | 0.154608i | ||||
\(928\) | −1.36126 | + | 2.98074i | −0.0446854 | + | 0.0978474i | ||||
\(929\) | −21.6686 | + | 25.0069i | −0.710924 | + | 0.820449i | −0.990185 | − | 0.139766i | \(-0.955365\pi\) |
0.279261 | + | 0.960215i | \(0.409911\pi\) | |||||||
\(930\) | 1.31086 | − | 0.842435i | 0.0429846 | − | 0.0276245i | ||||
\(931\) | −0.0892619 | − | 0.620830i | −0.00292544 | − | 0.0203469i | ||||
\(932\) | 1.73193 | + | 12.0458i | 0.0567311 | + | 0.394573i | ||||
\(933\) | 4.71056 | − | 3.02729i | 0.154217 | − | 0.0991091i | ||||
\(934\) | −16.2756 | + | 18.7831i | −0.532555 | + | 0.614601i | ||||
\(935\) | 14.5132 | − | 31.7794i | 0.474632 | − | 1.03930i | ||||
\(936\) | 6.89691 | + | 4.43237i | 0.225432 | + | 0.144877i | ||||
\(937\) | 56.1756 | − | 16.4947i | 1.83518 | − | 0.538857i | 0.835239 | − | 0.549887i | \(-0.185329\pi\) |
0.999939 | + | 0.0110299i | \(0.00351100\pi\) | |||||||
\(938\) | −0.769529 | − | 0.888084i | −0.0251260 | − | 0.0289970i | ||||
\(939\) | −0.566772 | − | 0.166419i | −0.0184959 | − | 0.00543088i | ||||
\(940\) | −1.60205 | − | 3.50800i | −0.0522530 | − | 0.114418i | ||||
\(941\) | 8.17470 | − | 56.8563i | 0.266488 | − | 1.85346i | −0.214486 | − | 0.976727i | \(-0.568808\pi\) |
0.480974 | − | 0.876735i | \(-0.340283\pi\) | |||||||
\(942\) | 5.80078 | 0.189000 | ||||||||
\(943\) | −13.0524 | + | 5.42045i | −0.425046 | + | 0.176514i | ||||
\(944\) | 0.430741 | 0.0140194 | ||||||||
\(945\) | −0.402382 | + | 2.79863i | −0.0130895 | + | 0.0910395i | ||||
\(946\) | −7.80421 | − | 17.0888i | −0.253737 | − | 0.555606i | ||||
\(947\) | −41.6056 | − | 12.2165i | −1.35200 | − | 0.396983i | −0.476065 | − | 0.879410i | \(-0.657937\pi\) |
−0.875936 | + | 0.482427i | \(0.839755\pi\) | |||||||
\(948\) | −2.50812 | − | 2.89452i | −0.0814600 | − | 0.0940098i | ||||
\(949\) | 7.30822 | − | 2.14589i | 0.237235 | − | 0.0696585i | ||||
\(950\) | 1.37677 | + | 0.884796i | 0.0446683 | + | 0.0287066i | ||||
\(951\) | −1.87984 | + | 4.11627i | −0.0609579 | + | 0.133479i | ||||
\(952\) | 3.13691 | − | 3.62019i | 0.101668 | − | 0.117331i | ||||
\(953\) | 7.77606 | − | 4.99737i | 0.251891 | − | 0.161881i | −0.408602 | − | 0.912713i | \(-0.633984\pi\) |
0.660493 | + | 0.750832i | \(0.270347\pi\) | |||||||
\(954\) | −1.34357 | − | 9.34476i | −0.0434998 | − | 0.302548i | ||||
\(955\) | −2.79985 | − | 19.4734i | −0.0906009 | − | 0.630143i | ||||
\(956\) | 5.98891 | − | 3.84884i | 0.193695 | − | 0.124480i | ||||
\(957\) | 3.13501 | − | 3.61800i | 0.101341 | − | 0.116953i | ||||
\(958\) | 7.67962 | − | 16.8160i | 0.248117 | − | 0.543301i | ||||
\(959\) | −2.42557 | − | 1.55882i | −0.0783258 | − | 0.0503369i | ||||
\(960\) | −0.459493 | + | 0.134919i | −0.0148301 | + | 0.00435450i | ||||
\(961\) | 13.3675 | + | 15.4270i | 0.431211 | + | 0.497644i | ||||
\(962\) | 7.60776 | + | 2.23384i | 0.245284 | + | 0.0720219i | ||||
\(963\) | 5.24095 | + | 11.4761i | 0.168887 | + | 0.369812i | ||||
\(964\) | 3.71790 | − | 25.8585i | 0.119745 | − | 0.832848i | ||||
\(965\) | 26.8602 | 0.864660 | ||||||||
\(966\) | −0.846028 | + | 1.22089i | −0.0272205 | + | 0.0392814i | ||||
\(967\) | 19.8477 | 0.638259 | 0.319130 | − | 0.947711i | \(-0.396609\pi\) | ||||
0.319130 | + | 0.947711i | \(0.396609\pi\) | |||||||
\(968\) | 1.60099 | − | 11.1351i | 0.0514578 | − | 0.357897i | ||||
\(969\) | 0.386565 | + | 0.846460i | 0.0124183 | + | 0.0271922i | ||||
\(970\) | −17.5512 | − | 5.15349i | −0.563534 | − | 0.165469i | ||||
\(971\) | 8.02314 | + | 9.25920i | 0.257475 | + | 0.297142i | 0.869739 | − | 0.493511i | \(-0.164287\pi\) |
−0.612265 | + | 0.790653i | \(0.709741\pi\) | |||||||
\(972\) | 7.68439 | − | 2.25634i | 0.246477 | − | 0.0723721i | ||||
\(973\) | 15.7825 | + | 10.1428i | 0.505963 | + | 0.325163i | ||||
\(974\) | 12.6281 | − | 27.6517i | 0.404631 | − | 0.886019i | ||||
\(975\) | −1.49403 | + | 1.72420i | −0.0478471 | + | 0.0552185i | ||||
\(976\) | −7.09729 | + | 4.56115i | −0.227179 | + | 0.145999i | ||||
\(977\) | −3.32395 | − | 23.1186i | −0.106343 | − | 0.739629i | −0.971313 | − | 0.237806i | \(-0.923572\pi\) |
0.864970 | − | 0.501823i | \(-0.167337\pi\) | |||||||
\(978\) | 0.895457 | + | 6.22804i | 0.0286336 | + | 0.199151i | ||||
\(979\) | 69.0574 | − | 44.3805i | 2.20708 | − | 1.41841i | ||||
\(980\) | 1.01255 | − | 1.16854i | 0.0323446 | − | 0.0373276i | ||||
\(981\) | −16.3767 | + | 35.8600i | −0.522868 | + | 1.14492i | ||||
\(982\) | −32.0516 | − | 20.5983i | −1.02281 | − | 0.657318i | ||||
\(983\) | −39.0626 | + | 11.4698i | −1.24590 | + | 0.365831i | −0.837231 | − | 0.546850i | \(-0.815827\pi\) |
−0.408674 | + | 0.912680i | \(0.634009\pi\) | |||||||
\(984\) | 0.597718 | + | 0.689804i | 0.0190546 | + | 0.0219901i | ||||
\(985\) | 8.55651 | + | 2.51242i | 0.272633 | + | 0.0800523i | ||||
\(986\) | 6.52068 | + | 14.2783i | 0.207661 | + | 0.454714i | ||||
\(987\) | −0.109938 | + | 0.764638i | −0.00349938 | + | 0.0243387i | ||||
\(988\) | 1.77066 | 0.0563323 | ||||||||
\(989\) | −18.9894 | + | 2.05909i | −0.603827 | + | 0.0654753i | ||||
\(990\) | −21.1804 | −0.673158 | ||||||||
\(991\) | 4.55878 | − | 31.7070i | 0.144814 | − | 1.00721i | −0.779726 | − | 0.626121i | \(-0.784642\pi\) |
0.924540 | − | 0.381085i | \(-0.124449\pi\) | |||||||
\(992\) | 1.35168 | + | 2.95976i | 0.0429158 | + | 0.0939725i | ||||
\(993\) | −6.51800 | − | 1.91386i | −0.206842 | − | 0.0607344i | ||||
\(994\) | −3.53358 | − | 4.07797i | −0.112079 | − | 0.129345i | ||||
\(995\) | −8.72311 | + | 2.56134i | −0.276541 | + | 0.0811998i | ||||
\(996\) | 3.52041 | + | 2.26243i | 0.111549 | + | 0.0716879i | ||||
\(997\) | 5.17516 | − | 11.3320i | 0.163899 | − | 0.358889i | −0.809807 | − | 0.586696i | \(-0.800428\pi\) |
0.973706 | + | 0.227807i | \(0.0731556\pi\) | |||||||
\(998\) | −13.7809 | + | 15.9040i | −0.436226 | + | 0.503432i | ||||
\(999\) | 4.32061 | − | 2.77669i | 0.136698 | − | 0.0878505i |
(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 | 322.2.i.a.169.1 | yes | 10 | |
23.3 | even | 11 | inner | 322.2.i.a.141.1 | ✓ | 10 | |
23.7 | odd | 22 | 7406.2.a.bh.1.2 | 5 | |||
23.16 | even | 11 | 7406.2.a.bg.1.2 | 5 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
322.2.i.a.141.1 | ✓ | 10 | 23.3 | even | 11 | inner | |
322.2.i.a.169.1 | yes | 10 | 1.1 | even | 1 | trivial | |
7406.2.a.bg.1.2 | 5 | 23.16 | even | 11 | |||
7406.2.a.bh.1.2 | 5 | 23.7 | odd | 22 |