Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [189,2,Mod(22,189)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(189, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([14, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("189.22");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 189 = 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 189.v (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.50917259820\) |
Analytic rank: | \(0\) |
Dimension: | \(54\) |
Relative dimension: | \(9\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 43.4 | ||
Character | \(\chi\) | \(=\) | 189.43 |
Dual form | 189.2.v.a.22.4 |
$q$-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 \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(136\) |
\(\chi(n)\) | \(e\left(\frac{2}{9}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.0808704 | + | 0.0678583i | 0.0571840 | + | 0.0479831i | 0.670932 | − | 0.741519i | \(-0.265894\pi\) |
−0.613748 | + | 0.789502i | \(0.710339\pi\) | |||||||
\(3\) | 1.71585 | + | 0.236354i | 0.990646 | + | 0.136459i | ||||
\(4\) | −0.345361 | − | 1.95864i | −0.172681 | − | 0.979320i | ||||
\(5\) | 0.0449304 | + | 0.0163533i | 0.0200935 | + | 0.00731344i | 0.352047 | − | 0.935982i | \(-0.385486\pi\) |
−0.331954 | + | 0.943296i | \(0.607708\pi\) | |||||||
\(6\) | 0.122723 | + | 0.135549i | 0.0501014 | + | 0.0553375i | ||||
\(7\) | 0.173648 | − | 0.984808i | 0.0656328 | − | 0.372222i | ||||
\(8\) | 0.210549 | − | 0.364682i | 0.0744404 | − | 0.128935i | ||||
\(9\) | 2.88827 | + | 0.811094i | 0.962758 | + | 0.270365i | ||||
\(10\) | 0.00252383 | + | 0.00437140i | 0.000798106 | + | 0.00138236i | ||||
\(11\) | −2.08078 | + | 0.757342i | −0.627379 | + | 0.228347i | −0.636090 | − | 0.771615i | \(-0.719449\pi\) |
0.00871123 | + | 0.999962i | \(0.497227\pi\) | |||||||
\(12\) | −0.129656 | − | 3.44236i | −0.0374284 | − | 0.993723i | ||||
\(13\) | 1.63110 | − | 1.36865i | 0.452385 | − | 0.379596i | −0.387935 | − | 0.921687i | \(-0.626812\pi\) |
0.840320 | + | 0.542091i | \(0.182367\pi\) | |||||||
\(14\) | 0.0808704 | − | 0.0678583i | 0.0216135 | − | 0.0181359i | ||||
\(15\) | 0.0732287 | + | 0.0386793i | 0.0189076 | + | 0.00998696i | ||||
\(16\) | −3.69605 | + | 1.34525i | −0.924013 | + | 0.336313i | ||||
\(17\) | 1.30215 | + | 2.25539i | 0.315818 | + | 0.547013i | 0.979611 | − | 0.200903i | \(-0.0643878\pi\) |
−0.663793 | + | 0.747916i | \(0.731054\pi\) | |||||||
\(18\) | 0.178536 | + | 0.261587i | 0.0420814 | + | 0.0616566i | ||||
\(19\) | −1.12700 | + | 1.95202i | −0.258552 | + | 0.447825i | −0.965854 | − | 0.259086i | \(-0.916579\pi\) |
0.707302 | + | 0.706911i | \(0.249912\pi\) | |||||||
\(20\) | 0.0165131 | − | 0.0936504i | 0.00369244 | − | 0.0209409i | ||||
\(21\) | 0.530717 | − | 1.64874i | 0.115812 | − | 0.359784i | ||||
\(22\) | −0.219665 | − | 0.0799517i | −0.0468328 | − | 0.0170458i | ||||
\(23\) | 1.36751 | + | 7.75556i | 0.285146 | + | 1.61715i | 0.704762 | + | 0.709444i | \(0.251054\pi\) |
−0.419615 | + | 0.907702i | \(0.637835\pi\) | |||||||
\(24\) | 0.447465 | − | 0.575975i | 0.0913384 | − | 0.117570i | ||||
\(25\) | −3.82847 | − | 3.21247i | −0.765694 | − | 0.642494i | ||||
\(26\) | 0.224782 | 0.0440833 | ||||||||
\(27\) | 4.76414 | + | 2.07437i | 0.916858 | + | 0.399213i | ||||
\(28\) | −1.98886 | −0.375858 | ||||||||
\(29\) | 0.516050 | + | 0.433017i | 0.0958280 | + | 0.0804093i | 0.689443 | − | 0.724340i | \(-0.257855\pi\) |
−0.593615 | + | 0.804749i | \(0.702300\pi\) | |||||||
\(30\) | 0.00329732 | + | 0.00809719i | 0.000602005 | + | 0.00147834i | ||||
\(31\) | −0.714158 | − | 4.05019i | −0.128267 | − | 0.727436i | −0.979314 | − | 0.202347i | \(-0.935143\pi\) |
0.851047 | − | 0.525089i | \(-0.175968\pi\) | |||||||
\(32\) | −1.18159 | − | 0.430065i | −0.208878 | − | 0.0760255i | ||||
\(33\) | −3.74930 | + | 0.807684i | −0.652670 | + | 0.140600i | ||||
\(34\) | −0.0477416 | + | 0.270756i | −0.00818762 | + | 0.0464343i | ||||
\(35\) | 0.0239070 | − | 0.0414081i | 0.00404102 | − | 0.00699925i | ||||
\(36\) | 0.591144 | − | 5.93721i | 0.0985241 | − | 0.989535i | ||||
\(37\) | 1.50163 | + | 2.60090i | 0.246867 | + | 0.427586i | 0.962655 | − | 0.270732i | \(-0.0872657\pi\) |
−0.715788 | + | 0.698318i | \(0.753932\pi\) | |||||||
\(38\) | −0.223602 | + | 0.0813846i | −0.0362731 | + | 0.0132023i | ||||
\(39\) | 3.12220 | − | 1.96288i | 0.499952 | − | 0.314313i | ||||
\(40\) | 0.0154238 | − | 0.0129421i | 0.00243872 | − | 0.00204633i | ||||
\(41\) | −4.51243 | + | 3.78637i | −0.704723 | + | 0.591332i | −0.923113 | − | 0.384529i | \(-0.874364\pi\) |
0.218390 | + | 0.975861i | \(0.429919\pi\) | |||||||
\(42\) | 0.154800 | − | 0.0973206i | 0.0238861 | − | 0.0150169i | ||||
\(43\) | −7.25196 | + | 2.63950i | −1.10591 | + | 0.402519i | −0.829493 | − | 0.558517i | \(-0.811370\pi\) |
−0.276420 | + | 0.961037i | \(0.589148\pi\) | |||||||
\(44\) | 2.20198 | + | 3.81394i | 0.331961 | + | 0.574973i | ||||
\(45\) | 0.116507 | + | 0.0836758i | 0.0173679 | + | 0.0124736i | ||||
\(46\) | −0.415688 | + | 0.719992i | −0.0612898 | + | 0.106157i | ||||
\(47\) | 0.831280 | − | 4.71442i | 0.121255 | − | 0.687669i | −0.862208 | − | 0.506555i | \(-0.830919\pi\) |
0.983462 | − | 0.181114i | \(-0.0579703\pi\) | |||||||
\(48\) | −6.65982 | + | 1.43467i | −0.961262 | + | 0.207077i | ||||
\(49\) | −0.939693 | − | 0.342020i | −0.134242 | − | 0.0488600i | ||||
\(50\) | −0.0916172 | − | 0.519587i | −0.0129566 | − | 0.0734807i | ||||
\(51\) | 1.70122 | + | 4.17768i | 0.238219 | + | 0.584992i | ||||
\(52\) | −3.24401 | − | 2.72205i | −0.449864 | − | 0.377480i | ||||
\(53\) | −2.27812 | −0.312924 | −0.156462 | − | 0.987684i | \(-0.550009\pi\) | ||||
−0.156462 | + | 0.987684i | \(0.550009\pi\) | |||||||
\(54\) | 0.244514 | + | 0.491041i | 0.0332742 | + | 0.0668223i | ||||
\(55\) | −0.105875 | −0.0142762 | ||||||||
\(56\) | −0.322580 | − | 0.270677i | −0.0431066 | − | 0.0361707i | ||||
\(57\) | −2.39513 | + | 3.08301i | −0.317243 | + | 0.408354i | ||||
\(58\) | 0.0123493 | + | 0.0700365i | 0.00162155 | + | 0.00919625i | ||||
\(59\) | −11.3193 | − | 4.11987i | −1.47364 | − | 0.536361i | −0.524554 | − | 0.851377i | \(-0.675768\pi\) |
−0.949087 | + | 0.315015i | \(0.897990\pi\) | |||||||
\(60\) | 0.0504686 | − | 0.156787i | 0.00651546 | − | 0.0202411i | ||||
\(61\) | 0.115915 | − | 0.657385i | 0.0148414 | − | 0.0841695i | −0.976487 | − | 0.215574i | \(-0.930838\pi\) |
0.991329 | + | 0.131405i | \(0.0419488\pi\) | |||||||
\(62\) | 0.217085 | − | 0.376002i | 0.0275698 | − | 0.0477523i | ||||
\(63\) | 1.30032 | − | 2.70355i | 0.163824 | − | 0.340615i | ||||
\(64\) | 3.86688 | + | 6.69764i | 0.483360 | + | 0.837205i | ||||
\(65\) | 0.0956679 | − | 0.0348203i | 0.0118661 | − | 0.00431892i | ||||
\(66\) | −0.358016 | − | 0.189104i | −0.0440687 | − | 0.0232771i | ||||
\(67\) | 7.86315 | − | 6.59797i | 0.960637 | − | 0.806070i | −0.0204194 | − | 0.999792i | \(-0.506500\pi\) |
0.981057 | + | 0.193721i | \(0.0620557\pi\) | |||||||
\(68\) | 3.96779 | − | 3.32937i | 0.481165 | − | 0.403745i | ||||
\(69\) | 0.513393 | + | 13.6306i | 0.0618052 | + | 1.64093i | ||||
\(70\) | 0.00474325 | − | 0.00172640i | 0.000566927 | − | 0.000206345i | ||||
\(71\) | 7.10068 | + | 12.2987i | 0.842695 | + | 1.45959i | 0.887608 | + | 0.460600i | \(0.152366\pi\) |
−0.0449125 | + | 0.998991i | \(0.514301\pi\) | |||||||
\(72\) | 0.903916 | − | 0.882527i | 0.106527 | − | 0.104007i | ||||
\(73\) | 1.97659 | − | 3.42355i | 0.231342 | − | 0.400697i | −0.726861 | − | 0.686784i | \(-0.759022\pi\) |
0.958203 | + | 0.286088i | \(0.0923549\pi\) | |||||||
\(74\) | −0.0550553 | + | 0.312234i | −0.00640005 | + | 0.0362965i | ||||
\(75\) | −5.80980 | − | 6.41698i | −0.670858 | − | 0.740969i | ||||
\(76\) | 4.21254 | + | 1.53324i | 0.483211 | + | 0.175874i | ||||
\(77\) | 0.384513 | + | 2.18068i | 0.0438193 | + | 0.248511i | ||||
\(78\) | 0.385691 | + | 0.0531280i | 0.0436710 | + | 0.00601556i | ||||
\(79\) | 2.63514 | + | 2.21115i | 0.296477 | + | 0.248774i | 0.778876 | − | 0.627178i | \(-0.215790\pi\) |
−0.482399 | + | 0.875951i | \(0.660235\pi\) | |||||||
\(80\) | −0.188065 | −0.0210263 | ||||||||
\(81\) | 7.68425 | + | 4.68533i | 0.853806 | + | 0.520592i | ||||
\(82\) | −0.621859 | −0.0686728 | ||||||||
\(83\) | −9.22727 | − | 7.74259i | −1.01282 | − | 0.849860i | −0.0241150 | − | 0.999709i | \(-0.507677\pi\) |
−0.988709 | + | 0.149849i | \(0.952121\pi\) | |||||||
\(84\) | −3.41257 | − | 0.470073i | −0.372342 | − | 0.0512892i | ||||
\(85\) | 0.0216230 | + | 0.122630i | 0.00234535 | + | 0.0133011i | ||||
\(86\) | −0.765580 | − | 0.278649i | −0.0825547 | − | 0.0300474i | ||||
\(87\) | 0.783118 | + | 0.864962i | 0.0839591 | + | 0.0927337i | ||||
\(88\) | −0.161918 | + | 0.918281i | −0.0172605 | + | 0.0978891i | ||||
\(89\) | 5.98967 | − | 10.3744i | 0.634903 | − | 1.09968i | −0.351632 | − | 0.936138i | \(-0.614373\pi\) |
0.986536 | − | 0.163547i | \(-0.0522935\pi\) | |||||||
\(90\) | 0.00374390 | + | 0.0146729i | 0.000394641 | + | 0.00154666i | ||||
\(91\) | −1.06462 | − | 1.84398i | −0.111603 | − | 0.193302i | ||||
\(92\) | 14.7181 | − | 5.35694i | 1.53446 | − | 0.558499i | ||||
\(93\) | −0.268110 | − | 7.11831i | −0.0278017 | − | 0.738134i | ||||
\(94\) | 0.387139 | − | 0.324848i | 0.0399303 | − | 0.0335055i | ||||
\(95\) | −0.0825588 | + | 0.0692751i | −0.00847036 | + | 0.00710747i | ||||
\(96\) | −1.92579 | − | 1.01720i | −0.196550 | − | 0.103818i | ||||
\(97\) | 17.1653 | − | 6.24766i | 1.74287 | − | 0.634354i | 0.743465 | − | 0.668775i | \(-0.233181\pi\) |
0.999407 | + | 0.0344215i | \(0.0109589\pi\) | |||||||
\(98\) | −0.0527844 | − | 0.0914253i | −0.00533203 | − | 0.00923535i | ||||
\(99\) | −6.62414 | + | 0.499702i | −0.665751 | + | 0.0502220i | ||||
\(100\) | −4.96986 | + | 8.60806i | −0.496986 | + | 0.860806i | ||||
\(101\) | 3.05705 | − | 17.3374i | 0.304187 | − | 1.72513i | −0.323118 | − | 0.946359i | \(-0.604731\pi\) |
0.627305 | − | 0.778774i | \(-0.284158\pi\) | |||||||
\(102\) | −0.145912 | + | 0.453293i | −0.0144474 | + | 0.0448827i | ||||
\(103\) | 2.61069 | + | 0.950212i | 0.257238 | + | 0.0936271i | 0.467420 | − | 0.884035i | \(-0.345183\pi\) |
−0.210182 | + | 0.977662i | \(0.567406\pi\) | |||||||
\(104\) | −0.155697 | − | 0.883000i | −0.0152673 | − | 0.0865853i | ||||
\(105\) | 0.0508077 | − | 0.0653996i | 0.00495833 | − | 0.00638234i | ||||
\(106\) | −0.184232 | − | 0.154589i | −0.0178942 | − | 0.0150150i | ||||
\(107\) | 9.20339 | 0.889725 | 0.444863 | − | 0.895599i | \(-0.353253\pi\) | ||||
0.444863 | + | 0.895599i | \(0.353253\pi\) | |||||||
\(108\) | 2.41760 | − | 10.0476i | 0.232633 | − | 0.966834i | ||||
\(109\) | 13.7809 | 1.31997 | 0.659984 | − | 0.751279i | \(-0.270563\pi\) | ||||
0.659984 | + | 0.751279i | \(0.270563\pi\) | |||||||
\(110\) | −0.00856219 | − | 0.00718453i | −0.000816373 | − | 0.000685018i | ||||
\(111\) | 1.96184 | + | 4.81767i | 0.186210 | + | 0.457273i | ||||
\(112\) | 0.683003 | + | 3.87350i | 0.0645377 | + | 0.366011i | ||||
\(113\) | −13.0043 | − | 4.73319i | −1.22334 | − | 0.445261i | −0.352031 | − | 0.935988i | \(-0.614509\pi\) |
−0.871313 | + | 0.490728i | \(0.836731\pi\) | |||||||
\(114\) | −0.402903 | + | 0.0867944i | −0.0377353 | + | 0.00812904i | ||||
\(115\) | −0.0653863 | + | 0.370824i | −0.00609730 | + | 0.0345795i | ||||
\(116\) | 0.669901 | − | 1.16030i | 0.0621988 | − | 0.107731i | ||||
\(117\) | 5.82116 | − | 2.63007i | 0.538166 | − | 0.243150i | ||||
\(118\) | −0.635825 | − | 1.10128i | −0.0585324 | − | 0.101381i | ||||
\(119\) | 2.44724 | − | 0.890724i | 0.224338 | − | 0.0816525i | ||||
\(120\) | 0.0295239 | − | 0.0185613i | 0.00269515 | − | 0.00169441i | ||||
\(121\) | −4.67041 | + | 3.91894i | −0.424583 | + | 0.356267i | ||||
\(122\) | 0.0539831 | − | 0.0452972i | 0.00488740 | − | 0.00410102i | ||||
\(123\) | −8.63756 | + | 5.43032i | −0.778823 | + | 0.489635i | ||||
\(124\) | −7.68622 | + | 2.79756i | −0.690243 | + | 0.251228i | ||||
\(125\) | −0.239015 | − | 0.413986i | −0.0213782 | − | 0.0370281i | ||||
\(126\) | 0.288615 | − | 0.130400i | 0.0257119 | − | 0.0116169i | ||||
\(127\) | −2.94106 | + | 5.09406i | −0.260977 | + | 0.452025i | −0.966502 | − | 0.256660i | \(-0.917378\pi\) |
0.705525 | + | 0.708685i | \(0.250711\pi\) | |||||||
\(128\) | −0.578474 | + | 3.28069i | −0.0511303 | + | 0.289975i | ||||
\(129\) | −13.0671 | + | 2.81495i | −1.15050 | + | 0.247843i | ||||
\(130\) | 0.0100995 | + | 0.00367593i | 0.000885788 | + | 0.000322401i | ||||
\(131\) | 3.05420 | + | 17.3212i | 0.266847 | + | 1.51336i | 0.763724 | + | 0.645543i | \(0.223369\pi\) |
−0.496877 | + | 0.867821i | \(0.665520\pi\) | |||||||
\(132\) | 2.87683 | + | 7.06460i | 0.250396 | + | 0.614894i | ||||
\(133\) | 1.72667 | + | 1.44885i | 0.149721 | + | 0.125631i | ||||
\(134\) | 1.08362 | 0.0936108 | ||||||||
\(135\) | 0.180132 | + | 0.171112i | 0.0155033 | + | 0.0147270i | ||||
\(136\) | 1.09667 | 0.0940385 | ||||||||
\(137\) | −7.00858 | − | 5.88089i | −0.598783 | − | 0.502439i | 0.292271 | − | 0.956335i | \(-0.405589\pi\) |
−0.891054 | + | 0.453897i | \(0.850033\pi\) | |||||||
\(138\) | −0.883430 | + | 1.13715i | −0.0752026 | + | 0.0968005i | ||||
\(139\) | 0.922429 | + | 5.23136i | 0.0782394 | + | 0.443718i | 0.998612 | + | 0.0526746i | \(0.0167746\pi\) |
−0.920372 | + | 0.391043i | \(0.872114\pi\) | |||||||
\(140\) | −0.0893601 | − | 0.0325244i | −0.00755231 | − | 0.00274882i | ||||
\(141\) | 2.54062 | − | 7.89276i | 0.213959 | − | 0.664690i | ||||
\(142\) | −0.260337 | + | 1.47644i | −0.0218470 | + | 0.123900i | ||||
\(143\) | −2.35741 | + | 4.08316i | −0.197137 | + | 0.341451i | ||||
\(144\) | −11.7663 | + | 0.887612i | −0.980528 | + | 0.0739677i | ||||
\(145\) | 0.0161051 | + | 0.0278948i | 0.00133745 | + | 0.00231654i | ||||
\(146\) | 0.392164 | − | 0.142736i | 0.0324557 | − | 0.0118129i | ||||
\(147\) | −1.53153 | − | 0.808955i | −0.126319 | − | 0.0667215i | ||||
\(148\) | 4.57563 | − | 3.83941i | 0.376114 | − | 0.315597i | ||||
\(149\) | 12.3904 | − | 10.3968i | 1.01506 | − | 0.851735i | 0.0260597 | − | 0.999660i | \(-0.491704\pi\) |
0.988999 | + | 0.147925i | \(0.0472595\pi\) | |||||||
\(150\) | −0.0343950 | − | 0.913187i | −0.00280834 | − | 0.0745614i | ||||
\(151\) | −11.6602 | + | 4.24395i | −0.948891 | + | 0.345368i | −0.769671 | − | 0.638441i | \(-0.779580\pi\) |
−0.179220 | + | 0.983809i | \(0.557357\pi\) | |||||||
\(152\) | 0.474579 | + | 0.821995i | 0.0384934 | + | 0.0666726i | ||||
\(153\) | 1.93163 | + | 7.57036i | 0.156163 | + | 0.612027i | ||||
\(154\) | −0.116882 | + | 0.202445i | −0.00941858 | + | 0.0163135i | ||||
\(155\) | 0.0341467 | − | 0.193656i | 0.00274273 | − | 0.0155548i | ||||
\(156\) | −4.92287 | − | 5.43736i | −0.394145 | − | 0.435337i | ||||
\(157\) | 7.03913 | + | 2.56204i | 0.561784 | + | 0.204473i | 0.607275 | − | 0.794492i | \(-0.292263\pi\) |
−0.0454904 | + | 0.998965i | \(0.514485\pi\) | |||||||
\(158\) | 0.0630603 | + | 0.357633i | 0.00501681 | + | 0.0284517i | ||||
\(159\) | −3.90891 | − | 0.538442i | −0.309997 | − | 0.0427012i | ||||
\(160\) | −0.0460565 | − | 0.0386460i | −0.00364109 | − | 0.00305524i | ||||
\(161\) | 7.87520 | 0.620653 | ||||||||
\(162\) | 0.303490 | + | 0.900344i | 0.0238444 | + | 0.0707377i | ||||
\(163\) | −6.90048 | −0.540488 | −0.270244 | − | 0.962792i | \(-0.587104\pi\) | ||||
−0.270244 | + | 0.962792i | \(0.587104\pi\) | |||||||
\(164\) | 8.97456 | + | 7.53055i | 0.700796 | + | 0.588037i | ||||
\(165\) | −0.181666 | − | 0.0250240i | −0.0141427 | − | 0.00194812i | ||||
\(166\) | −0.220813 | − | 1.25229i | −0.0171384 | − | 0.0971968i | ||||
\(167\) | −16.9249 | − | 6.16016i | −1.30969 | − | 0.476687i | −0.409548 | − | 0.912289i | \(-0.634314\pi\) |
−0.900140 | + | 0.435601i | \(0.856536\pi\) | |||||||
\(168\) | −0.489523 | − | 0.540684i | −0.0377676 | − | 0.0417147i | ||||
\(169\) | −1.47016 | + | 8.33770i | −0.113089 | + | 0.641361i | ||||
\(170\) | −0.00657282 | + | 0.0113845i | −0.000504112 | + | 0.000873148i | ||||
\(171\) | −4.83837 | + | 4.72388i | −0.369999 | + | 0.361244i | ||||
\(172\) | 7.67437 | + | 13.2924i | 0.585165 | + | 1.01354i | ||||
\(173\) | −14.6159 | + | 5.31976i | −1.11123 | + | 0.404454i | −0.831443 | − | 0.555610i | \(-0.812485\pi\) |
−0.279784 | + | 0.960063i | \(0.590263\pi\) | |||||||
\(174\) | 0.00463619 | + | 0.123091i | 0.000351469 | + | 0.00933150i | ||||
\(175\) | −3.82847 | + | 3.21247i | −0.289405 | + | 0.242840i | ||||
\(176\) | 6.67185 | − | 5.59835i | 0.502910 | − | 0.421991i | ||||
\(177\) | −18.4484 | − | 9.74442i | −1.38666 | − | 0.732436i | ||||
\(178\) | 1.18838 | − | 0.432534i | 0.0890726 | − | 0.0324198i | ||||
\(179\) | −9.72046 | − | 16.8363i | −0.726541 | − | 1.25841i | −0.958336 | − | 0.285642i | \(-0.907793\pi\) |
0.231795 | − | 0.972765i | \(-0.425540\pi\) | |||||||
\(180\) | 0.123654 | − | 0.257094i | 0.00921659 | − | 0.0191627i | ||||
\(181\) | 8.62738 | − | 14.9431i | 0.641268 | − | 1.11071i | −0.343882 | − | 0.939013i | \(-0.611742\pi\) |
0.985150 | − | 0.171696i | \(-0.0549248\pi\) | |||||||
\(182\) | 0.0390329 | − | 0.221367i | 0.00289331 | − | 0.0164088i | ||||
\(183\) | 0.354268 | − | 1.10058i | 0.0261882 | − | 0.0813570i | ||||
\(184\) | 3.11624 | + | 1.13422i | 0.229733 | + | 0.0836158i | ||||
\(185\) | 0.0249355 | + | 0.141416i | 0.00183330 | + | 0.0103971i | ||||
\(186\) | 0.461354 | − | 0.593854i | 0.0338281 | − | 0.0435435i | ||||
\(187\) | −4.41759 | − | 3.70680i | −0.323046 | − | 0.271068i | ||||
\(188\) | −9.52095 | −0.694386 | ||||||||
\(189\) | 2.87014 | − | 4.33155i | 0.208772 | − | 0.315074i | ||||
\(190\) | −0.0113775 | −0.000825407 | ||||||||
\(191\) | 4.75336 | + | 3.98855i | 0.343941 | + | 0.288601i | 0.798352 | − | 0.602191i | \(-0.205706\pi\) |
−0.454410 | + | 0.890792i | \(0.650150\pi\) | |||||||
\(192\) | 5.05198 | + | 12.4061i | 0.364595 | + | 0.895332i | ||||
\(193\) | −2.63729 | − | 14.9568i | −0.189836 | − | 1.07661i | −0.919583 | − | 0.392896i | \(-0.871473\pi\) |
0.729747 | − | 0.683718i | \(-0.239638\pi\) | |||||||
\(194\) | 1.81212 | + | 0.659558i | 0.130103 | + | 0.0473535i | ||||
\(195\) | 0.172381 | − | 0.0371348i | 0.0123445 | − | 0.00265928i | ||||
\(196\) | −0.345361 | + | 1.95864i | −0.0246686 | + | 0.139903i | ||||
\(197\) | −4.97901 | + | 8.62390i | −0.354740 | + | 0.614427i | −0.987073 | − | 0.160269i | \(-0.948764\pi\) |
0.632334 | + | 0.774696i | \(0.282097\pi\) | |||||||
\(198\) | −0.569606 | − | 0.409092i | −0.0404801 | − | 0.0290729i | ||||
\(199\) | 2.16427 | + | 3.74863i | 0.153421 | + | 0.265733i | 0.932483 | − | 0.361214i | \(-0.117638\pi\) |
−0.779062 | + | 0.626947i | \(0.784304\pi\) | |||||||
\(200\) | −1.97761 | + | 0.719792i | −0.139838 | + | 0.0508970i | ||||
\(201\) | 15.0514 | − | 9.46263i | 1.06165 | − | 0.667443i | ||||
\(202\) | 1.42371 | − | 1.19463i | 0.100172 | − | 0.0840541i | ||||
\(203\) | 0.516050 | − | 0.433017i | 0.0362196 | − | 0.0303919i | ||||
\(204\) | 7.59503 | − | 4.77489i | 0.531759 | − | 0.334309i | ||||
\(205\) | −0.264665 | + | 0.0963302i | −0.0184850 | + | 0.00672800i | ||||
\(206\) | 0.146647 | + | 0.254001i | 0.0102174 | + | 0.0176971i | ||||
\(207\) | −2.34073 | + | 23.5094i | −0.162692 | + | 1.63401i | ||||
\(208\) | −4.18743 | + | 7.25284i | −0.290346 | + | 0.502894i | ||||
\(209\) | 0.866693 | − | 4.91526i | 0.0599504 | − | 0.339996i | ||||
\(210\) | 0.00854675 | − | 0.00184116i | 0.000589781 | − | 0.000127052i | ||||
\(211\) | −17.4247 | − | 6.34206i | −1.19956 | − | 0.436605i | −0.336491 | − | 0.941687i | \(-0.609240\pi\) |
−0.863072 | + | 0.505082i | \(0.831462\pi\) | |||||||
\(212\) | 0.786774 | + | 4.46201i | 0.0540358 | + | 0.306452i | ||||
\(213\) | 9.27684 | + | 22.7810i | 0.635638 | + | 1.56093i | ||||
\(214\) | 0.744282 | + | 0.624526i | 0.0508780 | + | 0.0426918i | ||||
\(215\) | −0.368998 | −0.0251655 | ||||||||
\(216\) | 1.75957 | − | 1.30064i | 0.119724 | − | 0.0884972i | ||||
\(217\) | −4.11267 | −0.279186 | ||||||||
\(218\) | 1.11446 | + | 0.935147i | 0.0754811 | + | 0.0633361i | ||||
\(219\) | 4.20070 | − | 5.40712i | 0.283857 | − | 0.365380i | ||||
\(220\) | 0.0365653 | + | 0.207372i | 0.00246523 | + | 0.0139810i | ||||
\(221\) | 5.21078 | + | 1.89657i | 0.350515 | + | 0.127577i | ||||
\(222\) | −0.168264 | + | 0.522734i | −0.0112932 | + | 0.0350836i | ||||
\(223\) | 3.98630 | − | 22.6075i | 0.266943 | − | 1.51391i | −0.496503 | − | 0.868035i | \(-0.665383\pi\) |
0.763446 | − | 0.645872i | \(-0.223506\pi\) | |||||||
\(224\) | −0.628713 | + | 1.08896i | −0.0420077 | + | 0.0727594i | ||||
\(225\) | −8.45206 | − | 12.3837i | −0.563471 | − | 0.825583i | ||||
\(226\) | −0.730479 | − | 1.26523i | −0.0485907 | − | 0.0841616i | ||||
\(227\) | −9.42513 | + | 3.43047i | −0.625568 | + | 0.227688i | −0.635301 | − | 0.772265i | \(-0.719124\pi\) |
0.00973318 | + | 0.999953i | \(0.496902\pi\) | |||||||
\(228\) | 6.86569 | + | 3.62645i | 0.454691 | + | 0.240168i | ||||
\(229\) | −1.73941 | + | 1.45954i | −0.114943 | + | 0.0964490i | −0.698448 | − | 0.715661i | \(-0.746126\pi\) |
0.583504 | + | 0.812110i | \(0.301681\pi\) | |||||||
\(230\) | −0.0304513 | + | 0.0255517i | −0.00200790 | + | 0.00168483i | ||||
\(231\) | 0.144354 | + | 3.83260i | 0.00949779 | + | 0.252166i | ||||
\(232\) | 0.266568 | − | 0.0970227i | 0.0175010 | − | 0.00636985i | ||||
\(233\) | −10.8572 | − | 18.8052i | −0.711278 | − | 1.23197i | −0.964378 | − | 0.264529i | \(-0.914784\pi\) |
0.253100 | − | 0.967440i | \(-0.418550\pi\) | |||||||
\(234\) | 0.649231 | + | 0.182319i | 0.0424416 | + | 0.0119186i | ||||
\(235\) | 0.114446 | − | 0.198227i | 0.00746565 | − | 0.0129309i | ||||
\(236\) | −4.16011 | + | 23.5932i | −0.270800 | + | 1.53579i | ||||
\(237\) | 3.99889 | + | 4.41682i | 0.259756 | + | 0.286903i | ||||
\(238\) | 0.258353 | + | 0.0940326i | 0.0167465 | + | 0.00609523i | ||||
\(239\) | 2.57538 | + | 14.6057i | 0.166588 | + | 0.944766i | 0.947412 | + | 0.320016i | \(0.103688\pi\) |
−0.780824 | + | 0.624750i | \(0.785201\pi\) | |||||||
\(240\) | −0.322690 | − | 0.0444498i | −0.0208296 | − | 0.00286922i | ||||
\(241\) | 15.2735 | + | 12.8160i | 0.983850 | + | 0.825548i | 0.984666 | − | 0.174451i | \(-0.0558152\pi\) |
−0.000815769 | 1.00000i | \(0.500260\pi\) | ||||||||
\(242\) | −0.643631 | −0.0413741 | ||||||||
\(243\) | 12.0776 | + | 9.85551i | 0.774780 | + | 0.632231i | ||||
\(244\) | −1.32761 | −0.0849917 | ||||||||
\(245\) | −0.0366276 | − | 0.0307342i | −0.00234005 | − | 0.00196354i | ||||
\(246\) | −1.06702 | − | 0.146979i | −0.0680304 | − | 0.00937101i | ||||
\(247\) | 0.833394 | + | 4.72641i | 0.0530276 | + | 0.300734i | ||||
\(248\) | −1.62740 | − | 0.592324i | −0.103340 | − | 0.0376126i | ||||
\(249\) | −14.0026 | − | 15.4660i | −0.887379 | − | 0.980119i | ||||
\(250\) | 0.00876317 | − | 0.0496984i | 0.000554232 | − | 0.00314320i | ||||
\(251\) | −2.71457 | + | 4.70177i | −0.171342 | + | 0.296773i | −0.938889 | − | 0.344219i | \(-0.888144\pi\) |
0.767547 | + | 0.640992i | \(0.221477\pi\) | |||||||
\(252\) | −5.74436 | − | 1.61315i | −0.361861 | − | 0.101619i | ||||
\(253\) | −8.71911 | − | 15.1019i | −0.548166 | − | 0.949451i | ||||
\(254\) | −0.583519 | + | 0.212384i | −0.0366132 | + | 0.0133261i | ||||
\(255\) | 0.00811773 | + | 0.215526i | 0.000508352 | + | 0.0134967i | ||||
\(256\) | 11.5794 | − | 9.71628i | 0.723713 | − | 0.607268i | ||||
\(257\) | 9.87540 | − | 8.28644i | 0.616011 | − | 0.516894i | −0.280536 | − | 0.959843i | \(-0.590512\pi\) |
0.896547 | + | 0.442949i | \(0.146068\pi\) | |||||||
\(258\) | −1.24776 | − | 0.659066i | −0.0776822 | − | 0.0410317i | ||||
\(259\) | 2.82214 | − | 1.02718i | 0.175359 | − | 0.0638256i | ||||
\(260\) | −0.101240 | − | 0.175353i | −0.00627866 | − | 0.0108750i | ||||
\(261\) | 1.13928 | + | 1.66924i | 0.0705194 | + | 0.103323i | ||||
\(262\) | −0.928396 | + | 1.60803i | −0.0573565 | + | 0.0993444i | ||||
\(263\) | −5.20032 | + | 29.4925i | −0.320666 | + | 1.81858i | 0.217865 | + | 0.975979i | \(0.430091\pi\) |
−0.538531 | + | 0.842606i | \(0.681020\pi\) | |||||||
\(264\) | −0.494865 | + | 1.53736i | −0.0304569 | + | 0.0946181i | ||||
\(265\) | −0.102357 | − | 0.0372549i | −0.00628773 | − | 0.00228855i | ||||
\(266\) | 0.0413200 | + | 0.234337i | 0.00253349 | + | 0.0143682i | ||||
\(267\) | 12.7294 | − | 16.3852i | 0.779026 | − | 1.00276i | ||||
\(268\) | −15.6387 | − | 13.1224i | −0.955284 | − | 0.801579i | ||||
\(269\) | 8.35546 | 0.509441 | 0.254721 | − | 0.967015i | \(-0.418016\pi\) | ||||
0.254721 | + | 0.967015i | \(0.418016\pi\) | |||||||
\(270\) | 0.00295597 | + | 0.0260613i | 0.000179895 | + | 0.00158604i | ||||
\(271\) | 2.44853 | 0.148737 | 0.0743687 | − | 0.997231i | \(-0.476306\pi\) | ||||
0.0743687 | + | 0.997231i | \(0.476306\pi\) | |||||||
\(272\) | −7.84689 | − | 6.58432i | −0.475788 | − | 0.399233i | ||||
\(273\) | −1.39090 | − | 3.41562i | −0.0841810 | − | 0.206723i | ||||
\(274\) | −0.167719 | − | 0.951180i | −0.0101323 | − | 0.0574629i | ||||
\(275\) | 10.3991 | + | 3.78498i | 0.627092 | + | 0.228243i | ||||
\(276\) | 26.5201 | − | 5.71303i | 1.59632 | − | 0.343884i | ||||
\(277\) | −1.13897 | + | 6.45940i | −0.0684338 | + | 0.388107i | 0.931283 | + | 0.364297i | \(0.118691\pi\) |
−0.999716 | + | 0.0238101i | \(0.992420\pi\) | |||||||
\(278\) | −0.280394 | + | 0.485656i | −0.0168169 | + | 0.0291277i | ||||
\(279\) | 1.22240 | − | 12.2773i | 0.0731834 | − | 0.735023i | ||||
\(280\) | −0.0100672 | − | 0.0174369i | −0.000601630 | − | 0.00104205i | ||||
\(281\) | 12.1311 | − | 4.41537i | 0.723683 | − | 0.263399i | 0.0461944 | − | 0.998932i | \(-0.485291\pi\) |
0.677488 | + | 0.735533i | \(0.263068\pi\) | |||||||
\(282\) | 0.741050 | − | 0.465888i | 0.0441289 | − | 0.0277432i | ||||
\(283\) | −12.2500 | + | 10.2789i | −0.728185 | + | 0.611019i | −0.929636 | − | 0.368479i | \(-0.879879\pi\) |
0.201451 | + | 0.979499i | \(0.435434\pi\) | |||||||
\(284\) | 21.6365 | − | 18.1552i | 1.28389 | − | 1.07731i | ||||
\(285\) | −0.158032 | + | 0.0993525i | −0.00936100 | + | 0.00588513i | ||||
\(286\) | −0.467721 | + | 0.170237i | −0.0276569 | + | 0.0100663i | ||||
\(287\) | 2.94528 | + | 5.10137i | 0.173854 | + | 0.301124i | ||||
\(288\) | −3.06394 | − | 2.20053i | −0.180545 | − | 0.129667i | ||||
\(289\) | 5.10881 | − | 8.84871i | 0.300518 | − | 0.520512i | ||||
\(290\) | −0.000590471 | 0.00334873i | −3.46736e−5 | 0.000196644i | ||||||
\(291\) | 30.9297 | − | 6.66295i | 1.81313 | − | 0.390589i | ||||
\(292\) | −7.38814 | − | 2.68906i | −0.432358 | − | 0.157366i | ||||
\(293\) | 0.173966 | + | 0.986612i | 0.0101632 | + | 0.0576385i | 0.989468 | − | 0.144755i | \(-0.0462393\pi\) |
−0.979304 | + | 0.202393i | \(0.935128\pi\) | |||||||
\(294\) | −0.0689614 | − | 0.169348i | −0.00402191 | − | 0.00987656i | ||||
\(295\) | −0.441205 | − | 0.370215i | −0.0256880 | − | 0.0215548i | ||||
\(296\) | 1.26467 | 0.0735074 | ||||||||
\(297\) | −11.4841 | − | 0.708226i | −0.666377 | − | 0.0410954i | ||||
\(298\) | 1.70752 | 0.0989140 | ||||||||
\(299\) | 12.8452 | + | 10.7784i | 0.742858 | + | 0.623331i | ||||
\(300\) | −10.5621 | + | 13.5955i | −0.609802 | + | 0.784935i | ||||
\(301\) | 1.34011 | + | 7.60013i | 0.0772425 | + | 0.438064i | ||||
\(302\) | −1.23095 | − | 0.448029i | −0.0708332 | − | 0.0257812i | ||||
\(303\) | 9.34318 | − | 29.0258i | 0.536752 | − | 1.66749i | ||||
\(304\) | 1.53949 | − | 8.73089i | 0.0882959 | − | 0.500751i | ||||
\(305\) | 0.0159585 | − | 0.0276410i | 0.000913784 | − | 0.00158272i | ||||
\(306\) | −0.357500 | + | 0.743295i | −0.0204369 | + | 0.0424914i | ||||
\(307\) | −17.3639 | − | 30.0752i | −0.991010 | − | 1.71648i | −0.611369 | − | 0.791346i | \(-0.709381\pi\) |
−0.379641 | − | 0.925134i | \(-0.623953\pi\) | |||||||
\(308\) | 4.13837 | − | 1.50624i | 0.235806 | − | 0.0858262i | ||||
\(309\) | 4.25496 | + | 2.24746i | 0.242056 | + | 0.127854i | ||||
\(310\) | 0.0159026 | − | 0.0133439i | 0.000903208 | − | 0.000757881i | ||||
\(311\) | −1.69583 | + | 1.42297i | −0.0961615 | + | 0.0806891i | −0.689601 | − | 0.724190i | \(-0.742214\pi\) |
0.593440 | + | 0.804879i | \(0.297770\pi\) | |||||||
\(312\) | −0.0584517 | − | 1.55189i | −0.00330918 | − | 0.0878587i | ||||
\(313\) | 2.22955 | − | 0.811489i | 0.126021 | − | 0.0458681i | −0.278240 | − | 0.960512i | \(-0.589751\pi\) |
0.404261 | + | 0.914644i | \(0.367529\pi\) | |||||||
\(314\) | 0.395402 | + | 0.684857i | 0.0223138 | + | 0.0386487i | ||||
\(315\) | 0.102636 | − | 0.100207i | 0.00578287 | − | 0.00564603i | ||||
\(316\) | 3.42077 | − | 5.92494i | 0.192433 | − | 0.333304i | ||||
\(317\) | 1.42162 | − | 8.06239i | 0.0798460 | − | 0.452829i | −0.918504 | − | 0.395411i | \(-0.870602\pi\) |
0.998350 | − | 0.0574179i | \(-0.0182867\pi\) | |||||||
\(318\) | −0.279577 | − | 0.308796i | −0.0156779 | − | 0.0173164i | ||||
\(319\) | −1.40173 | − | 0.510187i | −0.0784817 | − | 0.0285650i | ||||
\(320\) | 0.0642120 | + | 0.364164i | 0.00358956 | + | 0.0203574i | ||||
\(321\) | 15.7916 | + | 2.17525i | 0.881402 | + | 0.121411i | ||||
\(322\) | 0.636871 | + | 0.534398i | 0.0354914 | + | 0.0297808i | ||||
\(323\) | −5.87011 | −0.326622 | ||||||||
\(324\) | 6.52302 | − | 16.6688i | 0.362390 | − | 0.926045i | ||||
\(325\) | −10.6414 | −0.590276 | ||||||||
\(326\) | −0.558045 | − | 0.468255i | −0.0309072 | − | 0.0259343i | ||||
\(327\) | 23.6459 | + | 3.25716i | 1.30762 | + | 0.180121i | ||||
\(328\) | 0.430735 | + | 2.44282i | 0.0237834 | + | 0.134882i | ||||
\(329\) | −4.49845 | − | 1.63730i | −0.248008 | − | 0.0902674i | ||||
\(330\) | −0.0129933 | − | 0.0143513i | −0.000715259 | − | 0.000790011i | ||||
\(331\) | −1.10168 | + | 6.24791i | −0.0605536 | + | 0.343416i | 0.939446 | + | 0.342697i | \(0.111340\pi\) |
−1.00000 | 0.000719872i | \(0.999771\pi\) | ||||||||
\(332\) | −11.9782 | + | 20.7469i | −0.657390 | + | 1.13863i | ||||
\(333\) | 2.22755 | + | 8.73008i | 0.122069 | + | 0.478406i | ||||
\(334\) | −0.950705 | − | 1.64667i | −0.0520203 | − | 0.0901017i | ||||
\(335\) | 0.461194 | − | 0.167861i | 0.0251977 | − | 0.00917122i | ||||
\(336\) | 0.256413 | + | 6.80777i | 0.0139885 | + | 0.371394i | ||||
\(337\) | −19.3497 | + | 16.2363i | −1.05404 | + | 0.884448i | −0.993513 | − | 0.113718i | \(-0.963724\pi\) |
−0.0605315 | + | 0.998166i | \(0.519280\pi\) | |||||||
\(338\) | −0.684675 | + | 0.574510i | −0.0372414 | + | 0.0312492i | ||||
\(339\) | −21.1948 | − | 11.1951i | −1.15114 | − | 0.608032i | ||||
\(340\) | 0.232721 | − | 0.0847034i | 0.0126211 | − | 0.00459369i | ||||
\(341\) | 4.55339 | + | 7.88670i | 0.246580 | + | 0.427089i | ||||
\(342\) | −0.711835 | + | 0.0536984i | −0.0384916 | + | 0.00290368i | ||||
\(343\) | −0.500000 | + | 0.866025i | −0.0269975 | + | 0.0467610i | ||||
\(344\) | −0.564318 | + | 3.20040i | −0.0304260 | + | 0.172554i | ||||
\(345\) | −0.199839 | + | 0.620824i | −0.0107590 | + | 0.0334240i | ||||
\(346\) | −1.54298 | − | 0.561600i | −0.0829513 | − | 0.0301918i | ||||
\(347\) | 4.76192 | + | 27.0062i | 0.255633 | + | 1.44977i | 0.794442 | + | 0.607340i | \(0.207763\pi\) |
−0.538809 | + | 0.842428i | \(0.681126\pi\) | |||||||
\(348\) | 1.42369 | − | 1.83257i | 0.0763179 | − | 0.0982361i | ||||
\(349\) | 23.1748 | + | 19.4460i | 1.24052 | + | 1.04092i | 0.997483 | + | 0.0709015i | \(0.0225876\pi\) |
0.243036 | + | 0.970017i | \(0.421857\pi\) | |||||||
\(350\) | −0.527603 | −0.0282015 | ||||||||
\(351\) | 10.6099 | − | 3.13695i | 0.566312 | − | 0.167438i | ||||
\(352\) | 2.78434 | 0.148406 | ||||||||
\(353\) | 14.6203 | + | 12.2679i | 0.778159 | + | 0.652953i | 0.942784 | − | 0.333403i | \(-0.108197\pi\) |
−0.164625 | + | 0.986356i | \(0.552641\pi\) | |||||||
\(354\) | −0.830687 | − | 2.03991i | −0.0441505 | − | 0.108420i | ||||
\(355\) | 0.117911 | + | 0.668707i | 0.00625807 | + | 0.0354913i | ||||
\(356\) | −22.3883 | − | 8.14868i | −1.18658 | − | 0.431879i | ||||
\(357\) | 4.40963 | − | 0.949932i | 0.233382 | − | 0.0502757i | ||||
\(358\) | 0.356388 | − | 2.02117i | 0.0188357 | − | 0.106822i | ||||
\(359\) | 0.0467450 | − | 0.0809648i | 0.00246711 | − | 0.00427316i | −0.864789 | − | 0.502135i | \(-0.832548\pi\) |
0.867256 | + | 0.497862i | \(0.165881\pi\) | |||||||
\(360\) | 0.0550456 | − | 0.0248703i | 0.00290116 | − | 0.00131078i | ||||
\(361\) | 6.95973 | + | 12.0546i | 0.366302 | + | 0.634453i | ||||
\(362\) | 1.71171 | − | 0.623012i | 0.0899655 | − | 0.0327448i | ||||
\(363\) | −8.93997 | + | 5.62044i | −0.469227 | + | 0.294997i | ||||
\(364\) | −3.24401 | + | 2.72205i | −0.170032 | + | 0.142674i | ||||
\(365\) | 0.144796 | − | 0.121498i | 0.00757895 | − | 0.00635949i | ||||
\(366\) | 0.103333 | − | 0.0649641i | 0.00540130 | − | 0.00339573i | ||||
\(367\) | 18.1715 | − | 6.61390i | 0.948547 | − | 0.345243i | 0.179011 | − | 0.983847i | \(-0.442710\pi\) |
0.769535 | + | 0.638604i | \(0.220488\pi\) | |||||||
\(368\) | −15.4876 | − | 26.8253i | −0.807347 | − | 1.39837i | ||||
\(369\) | −16.1042 | + | 7.27608i | −0.838353 | + | 0.378778i | ||||
\(370\) | −0.00757973 | + | 0.0131285i | −0.000394051 | + | 0.000682517i | ||||
\(371\) | −0.395591 | + | 2.24351i | −0.0205381 | + | 0.116477i | ||||
\(372\) | −13.8496 | + | 2.98352i | −0.718069 | + | 0.154688i | ||||
\(373\) | −17.8957 | − | 6.51350i | −0.926604 | − | 0.337256i | −0.165741 | − | 0.986169i | \(-0.553002\pi\) |
−0.760863 | + | 0.648913i | \(0.775224\pi\) | |||||||
\(374\) | −0.105715 | − | 0.599541i | −0.00546640 | − | 0.0310015i | ||||
\(375\) | −0.312267 | − | 0.766830i | −0.0161254 | − | 0.0395989i | ||||
\(376\) | −1.54424 | − | 1.29577i | −0.0796381 | − | 0.0668243i | ||||
\(377\) | 1.43438 | 0.0738741 | ||||||||
\(378\) | 0.526041 | − | 0.155531i | 0.0270566 | − | 0.00799966i | ||||
\(379\) | −17.4412 | −0.895894 | −0.447947 | − | 0.894060i | \(-0.647845\pi\) | ||||
−0.447947 | + | 0.894060i | \(0.647845\pi\) | |||||||
\(380\) | 0.164198 | + | 0.137778i | 0.00842316 | + | 0.00706787i | ||||
\(381\) | −6.25041 | + | 8.04551i | −0.320218 | + | 0.412184i | ||||
\(382\) | 0.113750 | + | 0.645111i | 0.00581998 | + | 0.0330067i | ||||
\(383\) | 12.9295 | + | 4.70596i | 0.660667 | + | 0.240463i | 0.650524 | − | 0.759485i | \(-0.274549\pi\) |
0.0101426 | + | 0.999949i | \(0.496771\pi\) | |||||||
\(384\) | −1.76798 | + | 5.49244i | −0.0902216 | + | 0.280285i | ||||
\(385\) | −0.0183851 | + | 0.104267i | −0.000936990 | + | 0.00531394i | ||||
\(386\) | 0.801665 | − | 1.38852i | 0.0408037 | − | 0.0706740i | ||||
\(387\) | −23.0865 | + | 1.74157i | −1.17355 | + | 0.0885289i | ||||
\(388\) | −18.1651 | − | 31.4629i | −0.922195 | − | 1.59729i | ||||
\(389\) | −16.0006 | + | 5.82376i | −0.811265 | + | 0.295276i | −0.714146 | − | 0.699997i | \(-0.753185\pi\) |
−0.0971185 | + | 0.995273i | \(0.530963\pi\) | |||||||
\(390\) | 0.0164605 | + | 0.00869441i | 0.000833508 | + | 0.000440258i | ||||
\(391\) | −15.7111 | + | 13.1832i | −0.794545 | + | 0.666703i | ||||
\(392\) | −0.322580 | + | 0.270677i | −0.0162928 | + | 0.0136713i | ||||
\(393\) | 1.14661 | + | 30.4425i | 0.0578388 | + | 1.53562i | ||||
\(394\) | −0.987858 | + | 0.359551i | −0.0497676 | + | 0.0181139i | ||||
\(395\) | 0.0822385 | + | 0.142441i | 0.00413787 | + | 0.00716700i | ||||
\(396\) | 3.26646 | + | 12.8017i | 0.164146 | + | 0.643311i | ||||
\(397\) | 4.94769 | − | 8.56965i | 0.248317 | − | 0.430099i | −0.714742 | − | 0.699389i | \(-0.753456\pi\) |
0.963059 | + | 0.269290i | \(0.0867890\pi\) | |||||||
\(398\) | −0.0793502 | + | 0.450017i | −0.00397747 | + | 0.0225573i | ||||
\(399\) | 2.62026 | + | 2.89410i | 0.131177 | + | 0.144886i | ||||
\(400\) | 18.4718 | + | 6.72319i | 0.923590 | + | 0.336159i | ||||
\(401\) | −0.707807 | − | 4.01417i | −0.0353462 | − | 0.200458i | 0.962021 | − | 0.272976i | \(-0.0880078\pi\) |
−0.997367 | + | 0.0725173i | \(0.976897\pi\) | |||||||
\(402\) | 1.85933 | + | 0.256118i | 0.0927352 | + | 0.0127740i | ||||
\(403\) | −6.70816 | − | 5.62882i | −0.334157 | − | 0.280391i | ||||
\(404\) | −35.0134 | −1.74198 | ||||||||
\(405\) | 0.268636 | + | 0.336177i | 0.0133486 | + | 0.0167048i | ||||
\(406\) | 0.0711170 | 0.00352948 | ||||||||
\(407\) | −5.09434 | − | 4.27466i | −0.252517 | − | 0.211887i | ||||
\(408\) | 1.88172 | + | 0.259202i | 0.0931589 | + | 0.0128324i | ||||
\(409\) | 5.00771 | + | 28.4001i | 0.247615 | + | 1.40430i | 0.814340 | + | 0.580389i | \(0.197099\pi\) |
−0.566724 | + | 0.823907i | \(0.691790\pi\) | |||||||
\(410\) | −0.0279404 | − | 0.0101695i | −0.00137988 | − | 0.000502234i | ||||
\(411\) | −10.6357 | − | 11.7472i | −0.524620 | − | 0.579448i | ||||
\(412\) | 0.959494 | − | 5.44156i | 0.0472709 | − | 0.268086i | ||||
\(413\) | −6.02285 | + | 10.4319i | −0.296365 | + | 0.513319i | ||||
\(414\) | −1.78460 | + | 1.74237i | −0.0877084 | + | 0.0856330i | ||||
\(415\) | −0.287968 | − | 0.498775i | −0.0141358 | − | 0.0244839i | ||||
\(416\) | −2.51590 | + | 0.915714i | −0.123352 | + | 0.0448966i | ||||
\(417\) | 0.346299 | + | 9.19424i | 0.0169583 | + | 0.450244i | ||||
\(418\) | 0.403631 | − | 0.338687i | 0.0197422 | − | 0.0165657i | ||||
\(419\) | 11.2026 | − | 9.40013i | 0.547285 | − | 0.459226i | −0.326736 | − | 0.945116i | \(-0.605949\pi\) |
0.874020 | + | 0.485889i | \(0.161504\pi\) | |||||||
\(420\) | −0.145641 | − | 0.0769276i | −0.00710656 | − | 0.00375368i | ||||
\(421\) | 30.1366 | − | 10.9688i | 1.46877 | − | 0.534588i | 0.521002 | − | 0.853555i | \(-0.325558\pi\) |
0.947766 | + | 0.318968i | \(0.103336\pi\) | |||||||
\(422\) | −0.978777 | − | 1.69529i | −0.0476461 | − | 0.0825255i | ||||
\(423\) | 6.22480 | − | 12.9423i | 0.302660 | − | 0.629276i | ||||
\(424\) | −0.479656 | + | 0.830789i | −0.0232942 | + | 0.0403467i | ||||
\(425\) | 2.26013 | − | 12.8178i | 0.109632 | − | 0.621756i | ||||
\(426\) | −0.795661 | + | 2.47182i | −0.0385499 | + | 0.119760i | ||||
\(427\) | −0.627270 | − | 0.228307i | −0.0303557 | − | 0.0110486i | ||||
\(428\) | −3.17849 | − | 18.0261i | −0.153638 | − | 0.871326i | ||||
\(429\) | −5.01004 | + | 6.44890i | −0.241887 | + | 0.311356i | ||||
\(430\) | −0.0298410 | − | 0.0250396i | −0.00143906 | − | 0.00120752i | ||||
\(431\) | 2.09915 | 0.101113 | 0.0505563 | − | 0.998721i | \(-0.483901\pi\) | ||||
0.0505563 | + | 0.998721i | \(0.483901\pi\) | |||||||
\(432\) | −20.3990 | − | 1.25801i | −0.981449 | − | 0.0605260i | ||||
\(433\) | −4.97773 | −0.239214 | −0.119607 | − | 0.992821i | \(-0.538164\pi\) | ||||
−0.119607 | + | 0.992821i | \(0.538164\pi\) | |||||||
\(434\) | −0.332593 | − | 0.279079i | −0.0159650 | − | 0.0133962i | ||||
\(435\) | 0.0210408 | + | 0.0516697i | 0.00100883 | + | 0.00247737i | ||||
\(436\) | −4.75938 | − | 26.9918i | −0.227933 | − | 1.29267i | ||||
\(437\) | −16.6802 | − | 6.07111i | −0.797924 | − | 0.290421i | ||||
\(438\) | 0.706630 | − | 0.152224i | 0.0337641 | − | 0.00727355i | ||||
\(439\) | −4.93634 | + | 27.9954i | −0.235599 | + | 1.33615i | 0.605751 | + | 0.795654i | \(0.292873\pi\) |
−0.841349 | + | 0.540492i | \(0.818238\pi\) | |||||||
\(440\) | −0.0222920 | + | 0.0386109i | −0.00106273 | + | 0.00184070i | ||||
\(441\) | −2.43668 | − | 1.75003i | −0.116032 | − | 0.0833346i | ||||
\(442\) | 0.292700 | + | 0.506971i | 0.0139223 | + | 0.0241141i | ||||
\(443\) | −27.8701 | + | 10.1439i | −1.32415 | + | 0.481951i | −0.904785 | − | 0.425868i | \(-0.859969\pi\) |
−0.419363 | + | 0.907818i | \(0.637747\pi\) | |||||||
\(444\) | 8.75854 | − | 5.50637i | 0.415662 | − | 0.261321i | ||||
\(445\) | 0.438775 | − | 0.368176i | 0.0207999 | − | 0.0174532i | ||||
\(446\) | 1.85648 | − | 1.55777i | 0.0879068 | − | 0.0737625i | ||||
\(447\) | 23.7173 | − | 14.9107i | 1.12179 | − | 0.705254i | ||||
\(448\) | 7.26736 | − | 2.64510i | 0.343351 | − | 0.124969i | ||||
\(449\) | 3.34561 | + | 5.79477i | 0.157889 | + | 0.273472i | 0.934107 | − | 0.356992i | \(-0.116198\pi\) |
−0.776218 | + | 0.630464i | \(0.782864\pi\) | |||||||
\(450\) | 0.156819 | − | 1.57502i | 0.00739250 | − | 0.0742472i | ||||
\(451\) | 6.52179 | − | 11.2961i | 0.307099 | − | 0.531911i | ||||
\(452\) | −4.77942 | + | 27.1055i | −0.224805 | + | 1.27493i | ||||
\(453\) | −21.0102 | + | 4.52606i | −0.987143 | + | 0.212653i | ||||
\(454\) | −0.995000 | − | 0.362150i | −0.0466977 | − | 0.0169966i | ||||
\(455\) | −0.0176787 | − | 0.100261i | −0.000828791 | − | 0.00470030i | ||||
\(456\) | 0.620024 | + | 1.52259i | 0.0290353 | + | 0.0713017i | ||||
\(457\) | 13.3387 | + | 11.1925i | 0.623958 | + | 0.523563i | 0.899045 | − | 0.437857i | \(-0.144262\pi\) |
−0.275087 | + | 0.961419i | \(0.588707\pi\) | |||||||
\(458\) | −0.239709 | −0.0112008 | ||||||||
\(459\) | 1.52511 | + | 13.4461i | 0.0711860 | + | 0.627612i | ||||
\(460\) | 0.748893 | 0.0349173 | ||||||||
\(461\) | 8.95670 | + | 7.51556i | 0.417155 | + | 0.350035i | 0.827080 | − | 0.562085i | \(-0.190001\pi\) |
−0.409925 | + | 0.912119i | \(0.634445\pi\) | |||||||
\(462\) | −0.248400 | + | 0.319739i | −0.0115566 | + | 0.0148756i | ||||
\(463\) | 5.04729 | + | 28.6246i | 0.234567 | + | 1.33030i | 0.843523 | + | 0.537093i | \(0.180478\pi\) |
−0.608956 | + | 0.793204i | \(0.708411\pi\) | |||||||
\(464\) | −2.48986 | − | 0.906236i | −0.115589 | − | 0.0420710i | ||||
\(465\) | 0.104362 | − | 0.324213i | 0.00483967 | − | 0.0150350i | ||||
\(466\) | 0.398064 | − | 2.25753i | 0.0184400 | − | 0.104578i | ||||
\(467\) | 19.9136 | − | 34.4914i | 0.921492 | − | 1.59607i | 0.124384 | − | 0.992234i | \(-0.460305\pi\) |
0.797108 | − | 0.603837i | \(-0.206362\pi\) | |||||||
\(468\) | −7.16176 | − | 10.4932i | −0.331052 | − | 0.485050i | ||||
\(469\) | −5.13231 | − | 8.88942i | −0.236988 | − | 0.410475i | ||||
\(470\) | 0.0227067 | − | 0.00826455i | 0.00104738 | − | 0.000381215i | ||||
\(471\) | 11.4725 | + | 6.05979i | 0.528627 | + | 0.279220i | ||||
\(472\) | −3.88570 | + | 3.26049i | −0.178854 | + | 0.150076i | ||||
\(473\) | 13.0907 | − | 10.9844i | 0.601912 | − | 0.505064i | ||||
\(474\) | 0.0236741 | + | 0.628548i | 0.00108739 | + | 0.0288702i | ||||
\(475\) | 10.5855 | − | 3.85281i | 0.485697 | − | 0.176779i | ||||
\(476\) | −2.58979 | − | 4.48565i | −0.118703 | − | 0.205599i | ||||
\(477\) | −6.57983 | − | 1.84777i | −0.301270 | − | 0.0846035i | ||||
\(478\) | −0.782848 | + | 1.35593i | −0.0358066 | + | 0.0620189i | ||||
\(479\) | 7.23541 | − | 41.0341i | 0.330595 | − | 1.87489i | −0.136429 | − | 0.990650i | \(-0.543563\pi\) |
0.467024 | − | 0.884245i | \(-0.345326\pi\) | |||||||
\(480\) | −0.0698919 | − | 0.0771964i | −0.00319012 | − | 0.00352352i | ||||
\(481\) | 6.00903 | + | 2.18711i | 0.273988 | + | 0.0997236i | ||||
\(482\) | 0.365502 | + | 2.07286i | 0.0166481 | + | 0.0944163i | ||||
\(483\) | 13.5127 | + | 1.86133i | 0.614847 | + | 0.0846936i | ||||
\(484\) | 9.28877 | + | 7.79420i | 0.422217 | + | 0.354282i | ||||
\(485\) | 0.873415 | 0.0396597 | ||||||||
\(486\) | 0.307944 | + | 1.61659i | 0.0139686 | + | 0.0733298i | ||||
\(487\) | −1.17610 | −0.0532942 | −0.0266471 | − | 0.999645i | \(-0.508483\pi\) | ||||
−0.0266471 | + | 0.999645i | \(0.508483\pi\) | |||||||
\(488\) | −0.215331 | − | 0.180684i | −0.00974757 | − | 0.00817918i | ||||
\(489\) | −11.8402 | − | 1.63095i | −0.535432 | − | 0.0737543i | ||||
\(490\) | −0.000876518 | − | 0.00497098i | −3.95970e−5 | − | 0.000224566i | ||||
\(491\) | 8.49669 | + | 3.09254i | 0.383450 | + | 0.139564i | 0.526551 | − | 0.850144i | \(-0.323485\pi\) |
−0.143101 | + | 0.989708i | \(0.545707\pi\) | |||||||
\(492\) | 13.6191 | + | 15.0425i | 0.613997 | + | 0.678166i | ||||
\(493\) | −0.304649 | + | 1.72775i | −0.0137207 | + | 0.0778139i | ||||
\(494\) | −0.253329 | + | 0.438780i | −0.0113978 | + | 0.0197416i | ||||
\(495\) | −0.305797 | − | 0.0858750i | −0.0137446 | − | 0.00385979i | ||||
\(496\) | 8.08810 | + | 14.0090i | 0.363166 | + | 0.629022i | ||||
\(497\) | 13.3449 | − | 4.85715i | 0.598601 | − | 0.217873i | ||||
\(498\) | −0.0828978 | − | 2.20094i | −0.00371474 | − | 0.0986263i | ||||
\(499\) | 5.72426 | − | 4.80323i | 0.256253 | − | 0.215022i | −0.505606 | − | 0.862764i | \(-0.668731\pi\) |
0.761859 | + | 0.647742i | \(0.224287\pi\) | |||||||
\(500\) | −0.728304 | + | 0.611120i | −0.0325707 | + | 0.0273301i | ||||
\(501\) | −27.5846 | − | 14.5702i | −1.23239 | − | 0.650947i | ||||
\(502\) | −0.538582 | + | 0.196028i | −0.0240381 | + | 0.00874916i | ||||
\(503\) | 13.4363 | + | 23.2723i | 0.599094 | + | 1.03766i | 0.992955 | + | 0.118492i | \(0.0378059\pi\) |
−0.393861 | + | 0.919170i | \(0.628861\pi\) | |||||||
\(504\) | −0.712156 | − | 1.04343i | −0.0317219 | − | 0.0464782i | ||||
\(505\) | 0.420878 | − | 0.728983i | 0.0187288 | − | 0.0324393i | ||||
\(506\) | 0.319674 | − | 1.81296i | 0.0142113 | − | 0.0805961i | ||||
\(507\) | −4.49322 | + | 13.9587i | −0.199551 | + | 0.619930i | ||||
\(508\) | 10.9932 | + | 4.00118i | 0.487743 | + | 0.177524i | ||||
\(509\) | −3.76876 | − | 21.3737i | −0.167047 | − | 0.947373i | −0.946928 | − | 0.321445i | \(-0.895832\pi\) |
0.779881 | − | 0.625928i | \(-0.215280\pi\) | |||||||
\(510\) | −0.0139687 | + | 0.0179805i | −0.000618546 | + | 0.000796190i | ||||
\(511\) | −3.02831 | − | 2.54105i | −0.133965 | − | 0.112410i | ||||
\(512\) | 8.25836 | 0.364971 | ||||||||
\(513\) | −9.41841 | + | 6.96189i | −0.415833 | + | 0.307375i | ||||
\(514\) | 1.36093 | 0.0600281 | ||||||||
\(515\) | 0.101760 | + | 0.0853869i | 0.00448409 | + | 0.00376259i | ||||
\(516\) | 10.0263 | + | 24.6216i | 0.441385 | + | 1.08391i | ||||
\(517\) | 1.84072 | + | 10.4392i | 0.0809547 | + | 0.459117i | ||||
\(518\) | 0.297930 | + | 0.108438i | 0.0130903 | + | 0.00476448i | ||||
\(519\) | −26.3360 | + | 5.67337i | −1.15602 | + | 0.249033i | ||||
\(520\) | 0.00744448 | − | 0.0422197i | 0.000326462 | − | 0.00185146i | ||||
\(521\) | 2.71989 | − | 4.71098i | 0.119160 | − | 0.206392i | −0.800275 | − | 0.599633i | \(-0.795313\pi\) |
0.919435 | + | 0.393242i | \(0.128646\pi\) | |||||||
\(522\) | −0.0211380 | + | 0.212301i | −0.000925185 | + | 0.00929217i | ||||
\(523\) | 19.5453 | + | 33.8534i | 0.854655 | + | 1.48031i | 0.876965 | + | 0.480555i | \(0.159565\pi\) |
−0.0223099 | + | 0.999751i | \(0.507102\pi\) | |||||||
\(524\) | 32.8713 | − | 11.9642i | 1.43599 | − | 0.522657i | ||||
\(525\) | −7.32836 | + | 4.60724i | −0.319836 | + | 0.201076i | ||||
\(526\) | −2.42186 | + | 2.03218i | −0.105598 | + | 0.0886074i | ||||
\(527\) | 8.20483 | − | 6.88467i | 0.357408 | − | 0.299901i | ||||
\(528\) | 12.7711 | − | 8.02900i | 0.555790 | − | 0.349418i | ||||
\(529\) | −36.6657 | + | 13.3452i | −1.59416 | + | 0.580227i | ||||
\(530\) | −0.00574959 | − | 0.00995858i | −0.000249746 | − | 0.000432573i | ||||
\(531\) | −29.3515 | − | 21.0803i | −1.27375 | − | 0.914807i | ||||
\(532\) | 2.24144 | − | 3.88230i | 0.0971789 | − | 0.168319i | ||||
\(533\) | −2.17797 | + | 12.3519i | −0.0943383 | + | 0.535019i | ||||
\(534\) | 2.14131 | − | 0.461285i | 0.0926633 | − | 0.0199618i | ||||
\(535\) | 0.413512 | + | 0.150506i | 0.0178777 | + | 0.00650695i | ||||
\(536\) | −0.750580 | − | 4.25675i | −0.0324201 | − | 0.183864i | ||||
\(537\) | −12.6995 | − | 31.1861i | −0.548024 | − | 1.34578i | ||||
\(538\) | 0.675709 | + | 0.566988i | 0.0291319 | + | 0.0244446i | ||||
\(539\) | 2.21432 | 0.0953775 | ||||||||
\(540\) | 0.272936 | − | 0.411909i | 0.0117453 | − | 0.0177257i | ||||
\(541\) | 12.6914 | 0.545648 | 0.272824 | − | 0.962064i | \(-0.412042\pi\) | ||||
0.272824 | + | 0.962064i | \(0.412042\pi\) | |||||||
\(542\) | 0.198013 | + | 0.166153i | 0.00850540 | + | 0.00713688i | ||||
\(543\) | 18.3351 | − | 23.6009i | 0.786836 | − | 1.01281i | ||||
\(544\) | −0.568649 | − | 3.22497i | −0.0243806 | − | 0.138269i | ||||
\(545\) | 0.619181 | + | 0.225363i | 0.0265228 | + | 0.00965351i | ||||
\(546\) | 0.119295 | − | 0.370606i | 0.00510538 | − | 0.0158605i | ||||
\(547\) | 3.32842 | − | 18.8764i | 0.142313 | − | 0.807097i | −0.827173 | − | 0.561948i | \(-0.810052\pi\) |
0.969485 | − | 0.245149i | \(-0.0788368\pi\) | |||||||
\(548\) | −9.09807 | + | 15.7583i | −0.388650 | + | 0.673162i | ||||
\(549\) | 0.867995 | − | 1.80469i | 0.0370451 | − | 0.0770223i | ||||
\(550\) | 0.584141 | + | 1.01176i | 0.0249078 | + | 0.0431416i | ||||
\(551\) | −1.42685 | + | 0.519331i | −0.0607858 | + | 0.0221242i | ||||
\(552\) | 5.07893 | + | 2.68269i | 0.216173 | + | 0.114183i | ||||
\(553\) | 2.63514 | − | 2.21115i | 0.112058 | − | 0.0940276i | ||||
\(554\) | −0.530432 | + | 0.445086i | −0.0225359 | + | 0.0189099i | ||||
\(555\) | 0.00936130 | + | 0.248543i | 0.000397365 | + | 0.0105500i | ||||
\(556\) | 9.92777 | − | 3.61341i | 0.421031 | − | 0.153243i | ||||
\(557\) | −15.4423 | − | 26.7469i | −0.654312 | − | 1.13330i | −0.982066 | − | 0.188539i | \(-0.939625\pi\) |
0.327753 | − | 0.944763i | \(-0.393709\pi\) | |||||||
\(558\) | 0.931974 | − | 0.909921i | 0.0394536 | − | 0.0385200i | ||||
\(559\) | −8.21608 | + | 14.2307i | −0.347503 | + | 0.601893i | ||||
\(560\) | −0.0326571 | + | 0.185207i | −0.00138001 | + | 0.00782644i | ||||
\(561\) | −6.70381 | − | 7.40442i | −0.283035 | − | 0.312615i | ||||
\(562\) | 1.28067 | + | 0.466126i | 0.0540218 | + | 0.0196623i | ||||
\(563\) | 0.220230 | + | 1.24899i | 0.00928160 | + | 0.0526386i | 0.989097 | − | 0.147267i | \(-0.0470476\pi\) |
−0.979815 | + | 0.199905i | \(0.935936\pi\) | |||||||
\(564\) | −16.3365 | − | 2.25031i | −0.687891 | − | 0.0947552i | ||||
\(565\) | −0.506887 | − | 0.425328i | −0.0213249 | − | 0.0178937i | ||||
\(566\) | −1.68817 | −0.0709591 | ||||||||
\(567\) | 5.94850 | − | 6.75391i | 0.249814 | − | 0.283638i | ||||
\(568\) | 5.98017 | 0.250922 | ||||||||
\(569\) | 22.0655 | + | 18.5151i | 0.925033 | + | 0.776195i | 0.974919 | − | 0.222560i | \(-0.0714414\pi\) |
−0.0498862 | + | 0.998755i | \(0.515886\pi\) | |||||||
\(570\) | −0.0195220 | − | 0.00268910i | −0.000817686 | − | 0.000112634i | ||||
\(571\) | −5.88358 | − | 33.3674i | −0.246220 | − | 1.39638i | −0.817642 | − | 0.575727i | \(-0.804719\pi\) |
0.571422 | − | 0.820656i | \(-0.306392\pi\) | |||||||
\(572\) | 8.81160 | + | 3.20716i | 0.368432 | + | 0.134098i | ||||
\(573\) | 7.21335 | + | 7.96722i | 0.301342 | + | 0.332835i | ||||
\(574\) | −0.107985 | + | 0.612411i | −0.00450719 | + | 0.0255616i | ||||
\(575\) | 19.6790 | − | 34.0850i | 0.820671 | − | 1.42144i | ||||
\(576\) | 5.73620 | + | 22.4810i | 0.239008 | + | 0.936709i | ||||
\(577\) | −1.16820 | − | 2.02338i | −0.0486329 | − | 0.0842346i | 0.840684 | − | 0.541526i | \(-0.182153\pi\) |
−0.889317 | + | 0.457291i | \(0.848820\pi\) | |||||||
\(578\) | 1.01361 | − | 0.368924i | 0.0421606 | − | 0.0153452i | ||||
\(579\) | −0.990092 | − | 26.2869i | −0.0411468 | − | 1.09245i | ||||
\(580\) | 0.0490738 | − | 0.0411778i | 0.00203768 | − | 0.00170982i | ||||
\(581\) | −9.22727 | + | 7.74259i | −0.382811 | + | 0.321217i | ||||
\(582\) | 2.95344 | + | 1.56000i | 0.122424 | + | 0.0646642i | ||||
\(583\) | 4.74026 | − | 1.72532i | 0.196322 | − | 0.0714552i | ||||
\(584\) | −0.832339 | − | 1.44165i | −0.0344424 | − | 0.0596560i | ||||
\(585\) | 0.304558 | − | 0.0229748i | 0.0125919 | − | 0.000949890i | ||||
\(586\) | −0.0528811 | + | 0.0915928i | −0.00218450 | + | 0.00378366i | ||||
\(587\) | 2.13337 | − | 12.0990i | 0.0880538 | − | 0.499378i | −0.908602 | − | 0.417663i | \(-0.862849\pi\) |
0.996656 | − | 0.0817148i | \(-0.0260397\pi\) | |||||||
\(588\) | −1.05552 | + | 3.27910i | −0.0435289 | + | 0.135228i | ||||
\(589\) | 8.71093 | + | 3.17052i | 0.358928 | + | 0.130639i | ||||
\(590\) | −0.0105583 | − | 0.0598789i | −0.000434677 | − | 0.00246518i | ||||
\(591\) | −10.5815 | + | 13.6205i | −0.435266 | + | 0.560272i | ||||
\(592\) | −9.04898 | − | 7.59299i | −0.371911 | − | 0.312070i | ||||
\(593\) | −30.6098 | −1.25699 | −0.628497 | − | 0.777812i | \(-0.716330\pi\) | ||||
−0.628497 | + | 0.777812i | \(0.716330\pi\) | |||||||
\(594\) | −0.880667 | − | 0.836568i | −0.0361342 | − | 0.0343248i | ||||
\(595\) | 0.124522 | 0.00510491 | ||||||||
\(596\) | −24.6426 | − | 20.6776i | −1.00940 | − | 0.846989i | ||||
\(597\) | 2.82756 | + | 6.94362i | 0.115724 | + | 0.284183i | ||||
\(598\) | 0.307392 | + | 1.74331i | 0.0125702 | + | 0.0712892i | ||||
\(599\) | 43.0953 | + | 15.6854i | 1.76083 | + | 0.640888i | 0.999968 | − | 0.00803083i | \(-0.00255632\pi\) |
0.760858 | + | 0.648919i | \(0.224779\pi\) | |||||||
\(600\) | −3.56341 | + | 0.767638i | −0.145476 | + | 0.0313387i | ||||
\(601\) | −6.32071 | + | 35.8465i | −0.257827 | + | 1.46221i | 0.530883 | + | 0.847445i | \(0.321861\pi\) |
−0.788710 | + | 0.614766i | \(0.789251\pi\) | |||||||
\(602\) | −0.407357 | + | 0.705563i | −0.0166026 | + | 0.0287566i | ||||
\(603\) | 28.0625 | − | 12.6790i | 1.14279 | − | 0.516328i | ||||
\(604\) | 12.3393 | + | 21.3724i | 0.502081 | + | 0.869630i | ||||
\(605\) | −0.273931 | + | 0.0997028i | −0.0111369 | + | 0.00405350i | ||||
\(606\) | 2.72523 | − | 1.71331i | 0.110705 | − | 0.0695985i | ||||
\(607\) | 30.1352 | − | 25.2865i | 1.22315 | − | 1.02635i | 0.224497 | − | 0.974475i | \(-0.427926\pi\) |
0.998654 | − | 0.0518707i | \(-0.0165184\pi\) | |||||||
\(608\) | 2.17116 | − | 1.82182i | 0.0880521 | − | 0.0738844i | ||||
\(609\) | 0.987809 | − | 0.621022i | 0.0400280 | − | 0.0251651i | ||||
\(610\) | 0.00316625 | − | 0.00115242i | 0.000128198 | − | 4.66601e-5i | ||||
\(611\) | −5.09650 | − | 8.82740i | −0.206183 | − | 0.357119i | ||||
\(612\) | 14.1605 | − | 6.39788i | 0.572404 | − | 0.258619i | ||||
\(613\) | −3.14950 | + | 5.45509i | −0.127207 | + | 0.220329i | −0.922594 | − | 0.385774i | \(-0.873935\pi\) |
0.795386 | + | 0.606103i | \(0.207268\pi\) | |||||||
\(614\) | 0.636624 | − | 3.61047i | 0.0256921 | − | 0.145707i | ||||
\(615\) | −0.476893 | + | 0.102734i | −0.0192302 | + | 0.00414262i | ||||
\(616\) | 0.876214 | + | 0.318916i | 0.0353037 | + | 0.0128495i | ||||
\(617\) | 0.786407 | + | 4.45994i | 0.0316596 | + | 0.179550i | 0.996537 | − | 0.0831500i | \(-0.0264981\pi\) |
−0.964877 | + | 0.262700i | \(0.915387\pi\) | |||||||
\(618\) | 0.191591 | + | 0.470487i | 0.00770691 | + | 0.0189258i | ||||
\(619\) | −1.43509 | − | 1.20418i | −0.0576812 | − | 0.0484003i | 0.613491 | − | 0.789701i | \(-0.289765\pi\) |
−0.671172 | + | 0.741301i | \(0.734209\pi\) | |||||||
\(620\) | −0.391095 | −0.0157067 | ||||||||
\(621\) | −9.57287 | + | 39.7853i | −0.384146 | + | 1.59653i | ||||
\(622\) | −0.233702 | −0.00937061 | ||||||||
\(623\) | −9.17670 | − | 7.70017i | −0.367657 | − | 0.308501i | ||||
\(624\) | −8.89923 | + | 11.4551i | −0.356254 | + | 0.458570i | ||||
\(625\) | 4.33525 | + | 24.5864i | 0.173410 | + | 0.983457i | ||||
\(626\) | 0.235371 | + | 0.0856679i | 0.00940730 | + | 0.00342398i | ||||
\(627\) | 2.64885 | − | 8.22900i | 0.105785 | − | 0.328635i | ||||
\(628\) | 2.58706 | − | 14.6720i | 0.103235 | − | 0.585475i | ||||
\(629\) | −3.91070 | + | 6.77353i | −0.155930 | + | 0.270079i | ||||
\(630\) | 0.0151001 | − | 0.00113910i | 0.000601602 | − | 4.53828e-5i | ||||
\(631\) | −15.2094 | − | 26.3435i | −0.605478 | − | 1.04872i | −0.991976 | − | 0.126428i | \(-0.959649\pi\) |
0.386498 | − | 0.922290i | \(-0.373685\pi\) | |||||||
\(632\) | 1.36119 | − | 0.495434i | 0.0541454 | − | 0.0197073i | ||||
\(633\) | −28.3991 | − | 15.0004i | −1.12876 | − | 0.596212i | ||||
\(634\) | 0.662067 | − | 0.555540i | 0.0262940 | − | 0.0220633i | ||||
\(635\) | −0.215448 | + | 0.180782i | −0.00854979 | + | 0.00717413i | ||||
\(636\) | 0.295371 | + | 7.84210i | 0.0117122 | + | 0.310959i | ||||
\(637\) | −2.00083 | + | 0.728244i | −0.0792760 | + | 0.0288541i | ||||
\(638\) | −0.0787379 | − | 0.136378i | −0.00311726 | − | 0.00539926i | ||||
\(639\) | 10.5333 | + | 41.2814i | 0.416690 | + | 1.63307i | ||||
\(640\) | −0.0796413 | + | 0.137943i | −0.00314810 | + | 0.00545267i | ||||
\(641\) | −1.14041 | + | 6.46760i | −0.0450436 | + | 0.255455i | −0.999011 | − | 0.0444540i | \(-0.985845\pi\) |
0.953968 | + | 0.299909i | \(0.0969563\pi\) | |||||||
\(642\) | 1.12947 | + | 1.24751i | 0.0445765 | + | 0.0492352i | ||||
\(643\) | −4.18213 | − | 1.52217i | −0.164927 | − | 0.0600285i | 0.258237 | − | 0.966082i | \(-0.416858\pi\) |
−0.423164 | + | 0.906053i | \(0.639081\pi\) | |||||||
\(644\) | −2.71979 | − | 15.4247i | −0.107175 | − | 0.607818i | ||||
\(645\) | −0.633145 | − | 0.0872141i | −0.0249301 | − | 0.00343405i | ||||
\(646\) | −0.474718 | − | 0.398336i | −0.0186775 | − | 0.0156723i | ||||
\(647\) | 34.1036 | 1.34075 | 0.670375 | − | 0.742023i | \(-0.266133\pi\) | ||||
0.670375 | + | 0.742023i | \(0.266133\pi\) | |||||||
\(648\) | 3.32657 | − | 1.81582i | 0.130680 | − | 0.0713320i | ||||
\(649\) | 26.6730 | 1.04701 | ||||||||
\(650\) | −0.860570 | − | 0.722104i | −0.0337543 | − | 0.0283233i | ||||
\(651\) | −7.05672 | − | 0.972045i | −0.276575 | − | 0.0380975i | ||||
\(652\) | 2.38316 | + | 13.5156i | 0.0933317 | + | 0.529310i | ||||
\(653\) | 0.0454216 | + | 0.0165321i | 0.00177749 | + | 0.000646952i | 0.342909 | − | 0.939369i | \(-0.388588\pi\) |
−0.341131 | + | 0.940016i | \(0.610810\pi\) | |||||||
\(654\) | 1.69123 | + | 1.86798i | 0.0661322 | + | 0.0730437i | ||||
\(655\) | −0.146034 | + | 0.828198i | −0.00570600 | + | 0.0323604i | ||||
\(656\) | 11.5845 | − | 20.0650i | 0.452300 | − | 0.783406i | ||||
\(657\) | 8.48576 | − | 8.28496i | 0.331061 | − | 0.323227i | ||||
\(658\) | −0.252687 | − | 0.437666i | −0.00985076 | − | 0.0170620i | ||||
\(659\) | −19.8969 | + | 7.24187i | −0.775072 | + | 0.282103i | −0.699116 | − | 0.715008i | \(-0.746423\pi\) |
−0.0759557 | + | 0.997111i | \(0.524201\pi\) | |||||||
\(660\) | 0.0137273 | + | 0.364461i | 0.000534336 | + | 0.0141866i | ||||
\(661\) | −2.18952 | + | 1.83723i | −0.0851627 | + | 0.0714599i | −0.684375 | − | 0.729130i | \(-0.739925\pi\) |
0.599212 | + | 0.800590i | \(0.295480\pi\) | |||||||
\(662\) | −0.513066 | + | 0.430513i | −0.0199409 | + | 0.0167324i | ||||
\(663\) | 8.49265 | + | 4.48581i | 0.329827 | + | 0.174214i | ||||
\(664\) | −4.76638 | + | 1.73482i | −0.184971 | + | 0.0673241i | ||||
\(665\) | 0.0538864 | + | 0.0933341i | 0.00208963 | + | 0.00361934i | ||||
\(666\) | −0.412266 | + | 0.857163i | −0.0159750 | + | 0.0332144i | ||||
\(667\) | −2.65259 | + | 4.59441i | −0.102709 | + | 0.177896i | ||||
\(668\) | −6.22033 | + | 35.2773i | −0.240672 | + | 1.36492i | ||||
\(669\) | 12.1832 | − | 37.8488i | 0.471032 | − | 1.46332i | ||||
\(670\) | 0.0486877 | + | 0.0177209i | 0.00188097 | + | 0.000684617i | ||||
\(671\) | 0.256672 | + | 1.45566i | 0.00990872 | + | 0.0561952i | ||||
\(672\) | −1.33616 | + | 1.71990i | −0.0515434 | + | 0.0663465i | ||||
\(673\) | 7.80007 | + | 6.54504i | 0.300671 | + | 0.252293i | 0.780623 | − | 0.625002i | \(-0.214902\pi\) |
−0.479953 | + | 0.877294i | \(0.659346\pi\) | |||||||
\(674\) | −2.66659 | −0.102713 | ||||||||
\(675\) | −11.5755 | − | 23.2463i | −0.445542 | − | 0.894750i | ||||
\(676\) | 16.8383 | 0.647626 | ||||||||
\(677\) | −14.1407 | − | 11.8655i | −0.543473 | − | 0.456028i | 0.329251 | − | 0.944243i | \(-0.393204\pi\) |
−0.872724 | + | 0.488215i | \(0.837648\pi\) | |||||||
\(678\) | −0.954350 | − | 2.34359i | −0.0366516 | − | 0.0900050i | ||||
\(679\) | −3.17202 | − | 17.9894i | −0.121731 | − | 0.690370i | ||||
\(680\) | 0.0492738 | + | 0.0179342i | 0.00188956 | + | 0.000687745i | ||||
\(681\) | −16.9829 | + | 3.65850i | −0.650786 | + | 0.140194i | ||||
\(682\) | −0.166944 | + | 0.946785i | −0.00639261 | + | 0.0362543i | ||||
\(683\) | 5.58052 | − | 9.66575i | 0.213533 | − | 0.369850i | −0.739285 | − | 0.673393i | \(-0.764836\pi\) |
0.952818 | + | 0.303543i | \(0.0981696\pi\) | |||||||
\(684\) | 10.9234 | + | 7.84518i | 0.417665 | + | 0.299968i | ||||
\(685\) | −0.218726 | − | 0.378845i | −0.00835710 | − | 0.0144749i | ||||
\(686\) | −0.0992022 | + | 0.0361067i | −0.00378756 | + | 0.00137856i | ||||
\(687\) | −3.32953 | + | 2.09323i | −0.127030 | + | 0.0798617i | ||||
\(688\) | 23.2528 | − | 19.5114i | 0.886505 | − | 0.743866i | ||||
\(689\) | −3.71583 | + | 3.11795i | −0.141562 | + | 0.118784i | ||||
\(690\) | −0.0582891 | + | 0.0366456i | −0.00221903 | + | 0.00139507i | ||||
\(691\) | −36.6561 | + | 13.3417i | −1.39446 | + | 0.507543i | −0.926530 | − | 0.376220i | \(-0.877224\pi\) |
−0.467934 | + | 0.883764i | \(0.655001\pi\) | |||||||
\(692\) | 15.4673 | + | 26.7901i | 0.587977 | + | 1.01841i | ||||
\(693\) | −0.658159 | + | 6.61028i | −0.0250014 | + | 0.251104i | ||||
\(694\) | −1.44750 | + | 2.50714i | −0.0549462 | + | 0.0951696i | ||||
\(695\) | −0.0441050 | + | 0.250132i | −0.00167300 | + | 0.00948804i | ||||
\(696\) | 0.480321 | − | 0.103472i | 0.0182065 | − | 0.00392210i | ||||
\(697\) | −14.4156 | − | 5.24686i | −0.546030 | − | 0.198739i | ||||
\(698\) | 0.554585 | + | 3.14521i | 0.0209913 | + | 0.119048i | ||||
\(699\) | −14.1846 | − | 34.8330i | −0.536511 | − | 1.31750i | ||||
\(700\) | 7.61427 | + | 6.38913i | 0.287793 | + | 0.241487i | ||||
\(701\) | −29.4093 | −1.11077 | −0.555387 | − | 0.831592i | \(-0.687430\pi\) | ||||
−0.555387 | + | 0.831592i | \(0.687430\pi\) | |||||||
\(702\) | 1.07089 | + | 0.466280i | 0.0404182 | + | 0.0175986i | ||||
\(703\) | −6.76937 | −0.255312 | ||||||||
\(704\) | −13.1185 | − | 11.0078i | −0.494423 | − | 0.414871i | ||||
\(705\) | 0.243224 | − | 0.313077i | 0.00916035 | − | 0.0117912i | ||||
\(706\) | 0.349871 | + | 1.98422i | 0.0131676 | + | 0.0746770i | ||||
\(707\) | −16.5431 | − | 6.02120i | −0.622168 | − | 0.226451i | ||||
\(708\) | −12.7145 | + | 39.4991i | −0.477839 | + | 1.48447i | ||||
\(709\) | 0.526940 | − | 2.98842i | 0.0197896 | − | 0.112233i | −0.973313 | − | 0.229482i | \(-0.926297\pi\) |
0.993102 | + | 0.117250i | \(0.0374078\pi\) | |||||||
\(710\) | −0.0358418 | + | 0.0620799i | −0.00134512 | + | 0.00232982i | ||||
\(711\) | 5.81757 | + | 8.52375i | 0.218176 | + | 0.319666i | ||||
\(712\) | −2.52224 | − | 4.36865i | −0.0945250 | − | 0.163722i | ||||
\(713\) | 30.4349 | − | 11.0774i | 1.13980 | − | 0.414852i | ||||
\(714\) | 0.421069 | + | 0.222408i | 0.0157581 | + | 0.00832342i | ||||
\(715\) | −0.172693 | + | 0.144907i | −0.00645835 | + | 0.00541920i | ||||
\(716\) | −29.6192 | + | 24.8535i | −1.10692 | + | 0.928819i | ||||
\(717\) | 0.966852 | + | 25.6699i | 0.0361077 | + | 0.958661i | ||||
\(718\) | 0.00927442 | − | 0.00337561i | 0.000346118 | − | 0.000125977i | ||||
\(719\) | 16.4133 | + | 28.4287i | 0.612114 | + | 1.06021i | 0.990884 | + | 0.134721i | \(0.0430138\pi\) |
−0.378770 | + | 0.925491i | \(0.623653\pi\) | |||||||
\(720\) | −0.543182 | − | 0.152538i | −0.0202432 | − | 0.00568476i | ||||
\(721\) | 1.38912 | − | 2.40602i | 0.0517334 | − | 0.0896049i | ||||
\(722\) | −0.255169 | + | 1.44714i | −0.00949642 | + | 0.0538569i | ||||
\(723\) | 23.1778 | + | 25.6002i | 0.861993 | + | 0.952081i | ||||
\(724\) | −32.2477 | − | 11.7372i | −1.19847 | − | 0.436209i | ||||
\(725\) | −0.584628 | − | 3.31559i | −0.0217125 | − | 0.123138i | ||||
\(726\) | −1.10437 | − | 0.152124i | −0.0409871 | − | 0.00564587i | ||||
\(727\) | −28.6154 | − | 24.0112i | −1.06129 | − | 0.890526i | −0.0670522 | − | 0.997749i | \(-0.521359\pi\) |
−0.994235 | + | 0.107224i | \(0.965804\pi\) | |||||||
\(728\) | −0.896622 | −0.0332310 | ||||||||
\(729\) | 18.3940 | + | 19.7652i | 0.681259 | + | 0.732043i | ||||
\(730\) | 0.0199543 | 0.000738542 | ||||||||
\(731\) | −15.3962 | − | 12.9190i | −0.569451 | − | 0.477826i | ||||
\(732\) | −2.27798 | − | 0.313786i | −0.0841967 | − | 0.0115979i | ||||
\(733\) | −9.33587 | − | 52.9464i | −0.344828 | − | 1.95562i | −0.289613 | − | 0.957144i | \(-0.593527\pi\) |
−0.0552151 | − | 0.998474i | \(-0.517584\pi\) | |||||||
\(734\) | 1.91835 | + | 0.698222i | 0.0708075 | + | 0.0257718i | ||||
\(735\) | −0.0555833 | − | 0.0613924i | −0.00205022 | − | 0.00226449i | ||||
\(736\) | 1.71955 | − | 9.75205i | 0.0633834 | − | 0.359465i | ||||
\(737\) | −11.3646 | + | 19.6840i | −0.418619 | + | 0.725070i | ||||
\(738\) | −1.79610 | − | 0.504386i | −0.0661153 | − | 0.0185667i | ||||
\(739\) | 18.8178 | + | 32.5934i | 0.692224 | + | 1.19897i | 0.971107 | + | 0.238643i | \(0.0767025\pi\) |
−0.278883 | + | 0.960325i | \(0.589964\pi\) | |||||||
\(740\) | 0.268372 | − | 0.0976794i | 0.00986555 | − | 0.00359077i | ||||
\(741\) | 0.312873 | + | 8.30678i | 0.0114937 | + | 0.305157i | ||||
\(742\) | −0.184232 | + | 0.154589i | −0.00676338 | + | 0.00567515i | ||||
\(743\) | −24.0622 | + | 20.1906i | −0.882757 | + | 0.740721i | −0.966744 | − | 0.255746i | \(-0.917679\pi\) |
0.0839870 | + | 0.996467i | \(0.473235\pi\) | |||||||
\(744\) | −2.65237 | − | 1.40098i | −0.0972406 | − | 0.0513624i | ||||
\(745\) | 0.726726 | − | 0.264507i | 0.0266252 | − | 0.00969077i | ||||
\(746\) | −1.00524 | − | 1.74112i | −0.0368043 | − | 0.0637470i | ||||
\(747\) | −20.3709 | − | 29.8469i | −0.745332 | − | 1.09204i | ||||
\(748\) | −5.73462 | + | 9.93266i | −0.209679 | + | 0.363174i | ||||
\(749\) | 1.59815 | − | 9.06357i | 0.0583952 | − | 0.331176i | ||||
\(750\) | 0.0267827 | − | 0.0832038i | 0.000977965 | − | 0.00303817i | ||||
\(751\) | 25.2279 | + | 9.18220i | 0.920579 | + | 0.335063i | 0.758469 | − | 0.651709i | \(-0.225948\pi\) |
0.162110 | + | 0.986773i | \(0.448170\pi\) | |||||||
\(752\) | 3.26964 | + | 18.5430i | 0.119231 | + | 0.676195i | ||||
\(753\) | −5.76907 | + | 7.42593i | −0.210237 | + | 0.270616i | ||||
\(754\) | 0.115999 | + | 0.0973344i | 0.00422442 | + | 0.00354471i | ||||
\(755\) | −0.593299 | −0.0215924 | ||||||||
\(756\) | −9.47518 | − | 4.12562i | −0.344609 | − | 0.150047i | ||||
\(757\) | −11.5926 | −0.421339 | −0.210670 | − | 0.977557i | \(-0.567564\pi\) | ||||
−0.210670 | + | 0.977557i | \(0.567564\pi\) | |||||||
\(758\) | −1.41048 | − | 1.18353i | −0.0512308 | − | 0.0429878i | ||||
\(759\) | −11.3913 | − | 27.9734i | −0.413477 | − | 1.01537i | ||||
\(760\) | 0.00788068 | + | 0.0446936i | 0.000285862 | + | 0.00162121i | ||||
\(761\) | −28.2342 | − | 10.2764i | −1.02349 | − | 0.372520i | −0.224891 | − | 0.974384i | \(-0.572203\pi\) |
−0.798599 | + | 0.601864i | \(0.794425\pi\) | |||||||
\(762\) | −1.05143 | + | 0.226501i | −0.0380892 | + | 0.00820527i | ||||
\(763\) | 2.39302 | − | 13.5715i | 0.0866333 | − | 0.491322i | ||||
\(764\) | 6.17050 | − | 10.6876i | 0.223241 | − | 0.386664i | ||||
\(765\) | −0.0370115 | + | 0.371728i | −0.00133815 | + | 0.0134399i | ||||
\(766\) | 0.726276 | + | 1.25795i | 0.0262414 | + | 0.0454515i | ||||
\(767\) | −24.1014 | + | 8.77221i | −0.870253 | + | 0.316746i | ||||
\(768\) | 22.1650 | − | 13.9348i | 0.799811 | − | 0.502830i | ||||
\(769\) | −35.2211 | + | 29.5540i | −1.27011 | + | 1.06574i | −0.275576 | + | 0.961279i | \(0.588869\pi\) |
−0.994529 | + | 0.104465i | \(0.966687\pi\) | |||||||
\(770\) | −0.00856219 | + | 0.00718453i | −0.000308560 | + | 0.000258912i | ||||
\(771\) | 18.9032 | − | 11.8842i | 0.680783 | − | 0.427999i | ||||
\(772\) | −28.3842 | + | 10.3310i | −1.02157 | + | 0.371821i | ||||
\(773\) | 4.44232 | + | 7.69433i | 0.159779 | + | 0.276746i | 0.934789 | − | 0.355204i | \(-0.115588\pi\) |
−0.775010 | + | 0.631949i | \(0.782255\pi\) | |||||||
\(774\) | −1.98520 | − | 1.42577i | −0.0713564 | − | 0.0512483i | ||||
\(775\) | −10.2770 | + | 17.8003i | −0.369160 | + | 0.639404i | ||||
\(776\) | 1.33573 | − | 7.57532i | 0.0479500 | − | 0.271938i | ||||
\(777\) | 5.08515 | − | 1.09546i | 0.182429 | − | 0.0392992i | ||||
\(778\) | −1.68917 | − | 0.614807i | −0.0605596 | − | 0.0220419i | ||||
\(779\) | −2.30558 | − | 13.0756i | −0.0826061 | − | 0.468483i | ||||
\(780\) | −0.132268 | − | 0.324808i | −0.00473594 | − | 0.0116300i | ||||
\(781\) | −24.0893 | − | 20.2133i | −0.861983 | − | 0.723289i | ||||
\(782\) | −2.16515 | −0.0774257 | ||||||||
\(783\) | 1.56029 | + | 3.13343i | 0.0557604 | + | 0.111980i | ||||
\(784\) | 3.93326 | 0.140473 | ||||||||
\(785\) | 0.274374 | + | 0.230227i | 0.00979281 | + | 0.00821714i | ||||
\(786\) | −1.97305 | + | 2.53970i | −0.0703764 | + | 0.0905883i | ||||
\(787\) | 2.50608 | + | 14.2127i | 0.0893319 | + | 0.506627i | 0.996337 | + | 0.0855080i | \(0.0272513\pi\) |
−0.907006 | + | 0.421119i | \(0.861638\pi\) | |||||||
\(788\) | 18.6107 | + | 6.77373i | 0.662978 | + | 0.241304i | ||||
\(789\) | −15.8936 | + | 49.3755i | −0.565828 | + | 1.75782i | ||||
\(790\) | −0.00301516 | + | 0.0170998i | −0.000107275 | + | 0.000608385i | ||||
\(791\) | −6.91946 | + | 11.9849i | −0.246028 | + | 0.426132i | ||||
\(792\) | −1.21248 | + | 2.52092i | −0.0430834 | + | 0.0895769i | ||||
\(793\) | −0.710663 | − | 1.23090i | −0.0252364 | − | 0.0437107i | ||||
\(794\) | 0.981644 | − | 0.357289i | 0.0348372 | − | 0.0126797i | ||||
\(795\) | −0.166824 | − | 0.0881161i | −0.00591662 | − | 0.00312516i | ||||
\(796\) | 6.59476 | − | 5.53366i | 0.233745 | − | 0.196136i | ||||
\(797\) | −36.0070 | + | 30.2134i | −1.27543 | + | 1.07021i | −0.281576 | + | 0.959539i | \(0.590857\pi\) |
−0.993857 | + | 0.110676i | \(0.964698\pi\) | |||||||
\(798\) | 0.0155124 | + | 0.411854i | 0.000549132 | + | 0.0145795i | ||||
\(799\) | 11.7153 | − | 4.26403i | 0.414458 | − | 0.150850i | ||||
\(800\) | 3.14213 | + | 5.44233i | 0.111091 | + | 0.192415i | ||||
\(801\) | 25.7144 | − | 25.1059i | 0.908574 | − | 0.887075i | ||||
\(802\) | 0.215154 | − | 0.372659i | 0.00759737 | − | 0.0131590i | ||||
\(803\) | −1.52005 | + | 8.62061i | −0.0536413 | + | 0.304215i | ||||
\(804\) | −23.7321 | − | 26.2123i | −0.836966 | − | 0.924437i | ||||
\(805\) | 0.353836 | + | 0.128786i | 0.0124711 | + | 0.00453911i | ||||
\(806\) | −0.160530 | − | 0.910409i | −0.00565442 | − | 0.0320678i | ||||
\(807\) | 14.3367 | + | 1.97484i | 0.504676 | + | 0.0695178i | ||||
\(808\) | −5.67897 | − | 4.76522i | −0.199785 | − | 0.167640i | ||||
\(809\) | 42.1543 | 1.48207 | 0.741034 | − | 0.671468i | \(-0.234336\pi\) | ||||
0.741034 | + | 0.671468i | \(0.234336\pi\) | |||||||
\(810\) | −0.00108769 | + | 0.0454160i | −3.82176e−5 | + | 0.00159575i | ||||
\(811\) | −31.3380 | −1.10043 | −0.550214 | − | 0.835024i | \(-0.685454\pi\) | ||||
−0.550214 | + | 0.835024i | \(0.685454\pi\) | |||||||
\(812\) | −1.02635 | − | 0.861209i | −0.0360178 | − | 0.0302225i | ||||
\(813\) | 4.20130 | + | 0.578718i | 0.147346 | + | 0.0202965i | ||||
\(814\) | −0.121910 | − | 0.691386i | −0.00427295 | − | 0.0242331i | ||||
\(815\) | −0.310042 | − | 0.112846i | −0.0108603 | − | 0.00395282i | ||||
\(816\) | −11.9078 | − | 13.1523i | −0.416858 | − | 0.460424i | ||||
\(817\) | 3.02061 | − | 17.1307i | 0.105678 | − | 0.599328i | ||||
\(818\) | −1.52221 | + | 2.63654i | −0.0532228 | + | 0.0921846i | ||||
\(819\) | −1.57928 | − | 6.18943i | −0.0551845 | − | 0.216276i | ||||
\(820\) | 0.280081 | + | 0.485115i | 0.00978086 | + | 0.0169410i | ||||
\(821\) | −1.00932 | + | 0.367363i | −0.0352256 | + | 0.0128211i | −0.359573 | − | 0.933117i | \(-0.617078\pi\) |
0.324347 | + | 0.945938i | \(0.394855\pi\) | |||||||
\(822\) | −0.0629651 | − | 1.67172i | −0.00219616 | − | 0.0583080i | ||||
\(823\) | 21.3176 | − | 17.8876i | 0.743086 | − | 0.623523i | −0.190578 | − | 0.981672i | \(-0.561036\pi\) |
0.933665 | + | 0.358149i | \(0.116592\pi\) | |||||||
\(824\) | 0.896203 | − | 0.752004i | 0.0312207 | − | 0.0261973i | ||||
\(825\) | 16.9488 | + | 8.95233i | 0.590080 | + | 0.311680i | ||||
\(826\) | −1.19496 | + | 0.434930i | −0.0415780 | + | 0.0151331i | ||||
\(827\) | 18.8878 | + | 32.7146i | 0.656792 | + | 1.13760i | 0.981441 | + | 0.191763i | \(0.0614205\pi\) |
−0.324649 | + | 0.945835i | \(0.605246\pi\) | |||||||
\(828\) | 46.8548 | − | 3.53456i | 1.62832 | − | 0.122835i | ||||
\(829\) | −8.12770 | + | 14.0776i | −0.282287 | + | 0.488935i | −0.971948 | − | 0.235197i | \(-0.924426\pi\) |
0.689661 | + | 0.724133i | \(0.257760\pi\) | |||||||
\(830\) | 0.0105580 | − | 0.0598771i | 0.000366472 | − | 0.00207837i | ||||
\(831\) | −3.48100 | + | 10.8141i | −0.120754 | + | 0.375139i | ||||
\(832\) | 15.4740 | + | 5.63207i | 0.536464 | + | 0.195257i | ||||
\(833\) | −0.452232 | − | 2.56474i | −0.0156689 | − | 0.0888629i | ||||
\(834\) | −0.595900 | + | 0.767041i | −0.0206343 | + | 0.0265604i | ||||
\(835\) | −0.659704 | − | 0.553557i | −0.0228300 | − | 0.0191566i | ||||
\(836\) | −9.92655 | −0.343317 | ||||||||
\(837\) | 4.99925 | − | 20.7771i | 0.172799 | − | 0.718161i | ||||
\(838\) | 1.54384 | 0.0533310 | ||||||||
\(839\) | 37.3943 | + | 31.3775i | 1.29099 | + | 1.08327i | 0.991627 | + | 0.129135i | \(0.0412199\pi\) |
0.299367 | + | 0.954138i | \(0.403225\pi\) | |||||||
\(840\) | −0.0131525 | − | 0.0322985i | −0.000453805 | − | 0.00111440i | ||||
\(841\) | −4.95699 | − | 28.1125i | −0.170931 | − | 0.969397i | ||||
\(842\) | 3.18148 | + | 1.15797i | 0.109641 | + | 0.0399061i | ||||
\(843\) | 21.8588 | − | 4.70887i | 0.752856 | − | 0.162182i | ||||
\(844\) | −6.40401 | + | 36.3189i | −0.220435 | + | 1.25015i | ||||
\(845\) | −0.202404 | + | 0.350574i | −0.00696292 | + | 0.0120601i | ||||
\(846\) | 1.38164 | − | 0.624244i | 0.0475019 | − | 0.0214619i | ||||
\(847\) | 3.04839 | + | 5.27997i | 0.104744 | + | 0.181422i | ||||
\(848\) | 8.42004 | − | 3.06465i | 0.289145 | − | 0.105240i | ||||
\(849\) | −23.4485 | + | 14.7418i | −0.804752 | + | 0.505937i | ||||
\(850\) | 1.05257 | − | 0.883214i | 0.0361030 | − | 0.0302940i | ||||
\(851\) | −18.1179 | + | 15.2028i | −0.621075 | + | 0.521144i | ||||
\(852\) | 41.4160 | − | 26.0377i | 1.41889 | − | 0.892036i | ||||
\(853\) | −8.71154 | + | 3.17074i | −0.298278 | + | 0.108564i | −0.486824 | − | 0.873500i | \(-0.661845\pi\) |
0.188546 | + | 0.982064i | \(0.439622\pi\) | |||||||
\(854\) | −0.0352350 | − | 0.0610288i | −0.00120572 | − | 0.00208836i | ||||
\(855\) | −0.294641 | + | 0.133122i | −0.0100765 | + | 0.00455269i | ||||
\(856\) | 1.93777 | − | 3.35631i | 0.0662315 | − | 0.114716i | ||||
\(857\) | 8.30525 | − | 47.1014i | 0.283702 | − | 1.60895i | −0.426184 | − | 0.904637i | \(-0.640142\pi\) |
0.709886 | − | 0.704317i | \(-0.248747\pi\) | |||||||
\(858\) | −0.842775 | + | 0.181553i | −0.0287719 | + | 0.00619811i | ||||
\(859\) | −18.2144 | − | 6.62951i | −0.621468 | − | 0.226196i | 0.0120455 | − | 0.999927i | \(-0.496166\pi\) |
−0.633514 | + | 0.773732i | \(0.718388\pi\) | |||||||
\(860\) | 0.127438 | + | 0.722735i | 0.00434559 | + | 0.0246450i | ||||
\(861\) | 3.84792 | + | 9.44930i | 0.131137 | + | 0.322031i | ||||
\(862\) | 0.169759 | + | 0.142445i | 0.00578202 | + | 0.00485169i | ||||
\(863\) | −3.11961 | −0.106193 | −0.0530963 | − | 0.998589i | \(-0.516909\pi\) | ||||
−0.0530963 | + | 0.998589i | \(0.516909\pi\) | |||||||
\(864\) | −4.73716 | − | 4.49995i | −0.161162 | − | 0.153091i | ||||
\(865\) | −0.743695 | −0.0252864 | ||||||||
\(866\) | −0.402551 | − | 0.337780i | −0.0136792 | − | 0.0114782i | ||||
\(867\) | 10.8574 | − | 13.9756i | 0.368735 | − | 0.474635i | ||||
\(868\) | 1.42036 | + | 8.05524i | 0.0482101 | + | 0.273413i | ||||
\(869\) | −7.15775 | − | 2.60521i | −0.242810 | − | 0.0883756i | ||||
\(870\) | −0.00180464 | + | 0.00560635i | −6.11831e−5 | + | 0.000190073i | ||||
\(871\) | 3.79523 | − | 21.5238i | 0.128597 | − | 0.729307i | ||||
\(872\) | 2.90155 | − | 5.02564i | 0.0982590 | − | 0.170190i | ||||
\(873\) | 54.6455 | − | 4.12227i | 1.84947 | − | 0.139518i | ||||
\(874\) | −0.936962 | − | 1.62287i | −0.0316932 | − | 0.0548943i | ||||
\(875\) | −0.449202 | + | 0.163496i | −0.0151858 | + | 0.00552717i | ||||
\(876\) | −12.0414 | − | 6.36024i | −0.406840 | − | 0.214893i | ||||
\(877\) | 8.42052 | − | 7.06565i | 0.284341 | − | 0.238590i | −0.489450 | − | 0.872031i | \(-0.662803\pi\) |
0.773791 | + | 0.633441i | \(0.218358\pi\) | |||||||
\(878\) | −2.29892 | + | 1.92902i | −0.0775849 | + | 0.0651014i | ||||
\(879\) | 0.0653105 | + | 1.73400i | 0.00220287 | + | 0.0584862i | ||||
\(880\) | 0.391321 | − | 0.142429i | 0.0131914 | − | 0.00480129i | ||||
\(881\) | 24.3642 | + | 42.2000i | 0.820850 | + | 1.42175i | 0.905050 | + | 0.425305i | \(0.139833\pi\) |
−0.0842002 | + | 0.996449i | \(0.526834\pi\) | |||||||
\(882\) | −0.0783013 | − | 0.306874i | −0.00263654 | − | 0.0103330i | ||||
\(883\) | 18.4060 | − | 31.8802i | 0.619413 | − | 1.07285i | −0.370180 | − | 0.928960i | \(-0.620704\pi\) |
0.989593 | − | 0.143894i | \(-0.0459625\pi\) | |||||||
\(884\) | 1.91509 | − | 10.8610i | 0.0644116 | − | 0.365296i | ||||
\(885\) | −0.669540 | − | 0.739514i | −0.0225063 | − | 0.0248585i | ||||
\(886\) | −2.94221 | − | 1.07088i | −0.0988456 | − | 0.0359769i | ||||
\(887\) | 0.694851 | + | 3.94070i | 0.0233308 | + | 0.132316i | 0.994248 | − | 0.107098i | \(-0.0341559\pi\) |
−0.970918 | + | 0.239414i | \(0.923045\pi\) | |||||||
\(888\) | 2.16998 | + | 0.298909i | 0.0728198 | + | 0.0100307i | ||||
\(889\) | 4.50596 | + | 3.78095i | 0.151125 | + | 0.126809i | ||||
\(890\) | 0.0604676 | 0.00202688 | ||||||||
\(891\) | −19.5376 | − | 3.92952i | −0.654535 | − | 0.131644i | ||||
\(892\) | −45.6566 | −1.52870 | ||||||||
\(893\) | 8.26581 | + | 6.93584i | 0.276605 | + | 0.232099i | ||||
\(894\) | 2.92985 | + | 0.403579i | 0.0979887 | + | 0.0134977i | ||||
\(895\) | −0.161414 | − | 0.915426i | −0.00539548 | − | 0.0305993i | ||||
\(896\) | 3.13040 | + | 1.13937i | 0.104579 | + | 0.0380637i | ||||
\(897\) | 19.4929 | + | 21.5301i | 0.650850 | + | 0.718870i | ||||
\(898\) | −0.122662 | + | 0.695653i | −0.00409329 | + | 0.0232142i | ||||
\(899\) | 1.38526 | − | 2.39934i | 0.0462011 | − | 0.0800226i | ||||
\(900\) | −21.3363 | + | 20.8314i | −0.711209 | + | 0.694380i | ||||
\(901\) | −2.96645 | − | 5.13805i | −0.0988269 | − | 0.171173i | ||||
\(902\) | 1.29395 | − | 0.470960i | 0.0430839 | − | 0.0156812i | ||||
\(903\) | 0.503104 | + | 13.3574i | 0.0167422 | + | 0.444507i | ||||
\(904\) | −4.46416 | + | 3.74588i | −0.148476 | + | 0.124586i | ||||
\(905\) | 0.632001 | − | 0.530312i | 0.0210084 | − | 0.0176282i | ||||
\(906\) | −2.00623 | − | 1.05969i | −0.0666525 | − | 0.0352058i | ||||
\(907\) | −14.0718 | + | 5.12171i | −0.467246 | + | 0.170064i | −0.564904 | − | 0.825156i | \(-0.691087\pi\) |
0.0976583 | + | 0.995220i | \(0.468865\pi\) | |||||||
\(908\) | 9.97412 | + | 17.2757i | 0.331003 | + | 0.573314i | ||||
\(909\) | 22.8918 | − | 47.5955i | 0.759274 | − | 1.57864i | ||||
\(910\) | 0.00537385 | − | 0.00930779i | 0.000178142 | − | 0.000308550i | ||||
\(911\) | 4.27470 | − | 24.2430i | 0.141627 | − | 0.803207i | −0.828387 | − | 0.560157i | \(-0.810741\pi\) |
0.970014 | − | 0.243050i | \(-0.0781479\pi\) | |||||||
\(912\) | 4.70511 | − | 14.6170i | 0.155802 | − | 0.484018i | ||||
\(913\) | 25.0637 | + | 9.12244i | 0.829487 | + | 0.301909i | ||||
\(914\) | 0.319202 | + | 1.81028i | 0.0105582 | + | 0.0598788i | ||||
\(915\) | 0.0339155 | − | 0.0436559i | 0.00112121 | − | 0.00144322i | ||||
\(916\) | 3.45943 | + | 2.90281i | 0.114303 | + | 0.0959116i | ||||
\(917\) | 17.5885 | 0.580822 | ||||||||
\(918\) | −0.789096 | + | 1.19089i | −0.0260440 | + | 0.0393051i | ||||
\(919\) | 31.8826 | 1.05171 | 0.525854 | − | 0.850575i | \(-0.323746\pi\) | ||||
0.525854 | + | 0.850575i | \(0.323746\pi\) | |||||||
\(920\) | 0.121466 | + | 0.101922i | 0.00400461 | + | 0.00336027i | ||||
\(921\) | −22.6854 | − | 55.7084i | −0.747511 | − | 1.83566i | ||||
\(922\) | 0.214338 | + | 1.21557i | 0.00705886 | + | 0.0400328i | ||||
\(923\) | 28.4146 | + | 10.3421i | 0.935277 | + | 0.340413i | ||||
\(924\) | 7.45682 | − | 1.60637i | 0.245311 | − | 0.0528456i | ||||
\(925\) | 2.60636 | − | 14.7814i | 0.0856967 | − | 0.486010i | ||||
\(926\) | −1.53424 | + | 2.65738i | −0.0504182 | + | 0.0873270i | ||||
\(927\) | 6.76966 | + | 4.86198i | 0.222345 | + | 0.159689i | ||||
\(928\) | −0.423536 | − | 0.733586i | −0.0139032 | − | 0.0240811i | ||||
\(929\) | −17.2543 | + | 6.28006i | −0.566096 | + | 0.206042i | −0.609184 | − | 0.793029i | \(-0.708503\pi\) |
0.0430875 | + | 0.999071i | \(0.486281\pi\) | |||||||
\(930\) | 0.0304404 | − | 0.0191374i | 0.000998178 | − | 0.000627541i | ||||
\(931\) | 1.72667 | − | 1.44885i | 0.0565892 | − | 0.0474840i | ||||
\(932\) | −33.0829 | + | 27.7599i | −1.08367 | + | 0.909305i | ||||
\(933\) | −3.24610 | + | 2.04078i | −0.106273 | + | 0.0668122i | ||||
\(934\) | 3.95095 | − | 1.43803i | 0.129279 | − | 0.0470537i | ||||
\(935\) | −0.137866 | − | 0.238791i | −0.00450869 | − | 0.00780929i | ||||
\(936\) | 0.266502 | − | 2.67663i | 0.00871087 | − | 0.0874884i | ||||
\(937\) | 1.76262 | − | 3.05294i | 0.0575822 | − | 0.0997352i | −0.835797 | − | 0.549038i | \(-0.814994\pi\) |
0.893380 | + | 0.449303i | \(0.148328\pi\) | |||||||
\(938\) | 0.188169 | − | 1.06716i | 0.00614394 | − | 0.0348440i | ||||
\(939\) | 4.01736 | − | 0.865430i | 0.131102 | − | 0.0282423i | ||||
\(940\) | −0.427780 | − | 0.155699i | −0.0139527 | − | 0.00507835i | ||||
\(941\) | −6.55503 | − | 37.1754i | −0.213688 | − | 1.21188i | −0.883169 | − | 0.469055i | \(-0.844594\pi\) |
0.669481 | − | 0.742829i | \(-0.266517\pi\) | |||||||
\(942\) | 0.516582 | + | 1.26857i | 0.0168311 | + | 0.0413321i | ||||
\(943\) | −35.5363 | − | 29.8185i | −1.15722 | − | 0.971023i | ||||
\(944\) | 47.3788 | 1.54205 | ||||||||
\(945\) | 0.199792 | − | 0.147682i | 0.00649923 | − | 0.00480409i | ||||
\(946\) | 1.80404 | 0.0586543 | ||||||||
\(947\) | −14.5422 | − | 12.2024i | −0.472558 | − | 0.396524i | 0.375168 | − | 0.926957i | \(-0.377585\pi\) |
−0.847727 | + | 0.530433i | \(0.822029\pi\) | |||||||
\(948\) | 7.26990 | − | 9.35779i | 0.236115 | − | 0.303927i | ||||
\(949\) | −1.46165 | − | 8.28940i | −0.0474470 | − | 0.269085i | ||||
\(950\) | 1.11750 | + | 0.406737i | 0.0362565 | + | 0.0131963i | ||||
\(951\) | 4.34486 | − | 13.4978i | 0.140892 | − | 0.437697i | ||||
\(952\) | 0.190434 | − | 1.08001i | 0.00617201 | − | 0.0350032i | ||||
\(953\) | −9.58499 | + | 16.6017i | −0.310488 | + | 0.537781i | −0.978468 | − | 0.206398i | \(-0.933826\pi\) |
0.667980 | + | 0.744179i | \(0.267159\pi\) | |||||||
\(954\) | −0.406727 | − | 0.595926i | −0.0131683 | − | 0.0192938i | ||||
\(955\) | 0.148345 | + | 0.256940i | 0.00480032 | + | 0.00831440i | ||||
\(956\) | 27.7179 | − | 10.0885i | 0.896462 | − | 0.326285i | ||||
\(957\) | −2.28457 | − | 1.20671i | −0.0738496 | − | 0.0390073i | ||||
\(958\) | 3.36963 | − | 2.82746i | 0.108868 | − | 0.0913510i | ||||
\(959\) | −7.00858 | + | 5.88089i | −0.226319 | + | 0.189904i | ||||
\(960\) | 0.0241065 | + | 0.640028i | 0.000778034 | + | 0.0206568i | ||||
\(961\) | 13.2364 | − | 4.81767i | 0.426982 | − | 0.155409i | ||||
\(962\) | 0.337539 | + | 0.584635i | 0.0108827 | + | 0.0188494i | ||||
\(963\) | 26.5819 | + | 7.46482i | 0.856590 | + | 0.240550i | ||||
\(964\) | 19.8270 | − | 34.3413i | 0.638584 | − | 1.10606i | ||||
\(965\) | 0.126099 | − | 0.715144i | 0.00405928 | − | 0.0230213i | ||||
\(966\) | 0.966467 | + | 1.06747i | 0.0310956 | + | 0.0343454i | ||||
\(967\) | 16.3315 | + | 5.94419i | 0.525187 | + | 0.191152i | 0.590988 | − | 0.806680i | \(-0.298738\pi\) |
−0.0658012 | + | 0.997833i | \(0.520960\pi\) | |||||||
\(968\) | 0.445815 | + | 2.52835i | 0.0143291 | + | 0.0812641i | ||||
\(969\) | −10.0722 | − | 1.38742i | −0.323566 | − | 0.0445704i | ||||
\(970\) | 0.0706334 | + | 0.0592684i | 0.00226790 | + | 0.00190299i | ||||
\(971\) | −50.0419 | −1.60592 | −0.802961 | − | 0.596032i | \(-0.796743\pi\) | ||||
−0.802961 | + | 0.596032i | \(0.796743\pi\) | |||||||
\(972\) | 15.1323 | − | 27.0594i | 0.485367 | − | 0.867931i | ||||
\(973\) | 5.31206 | 0.170297 | ||||||||
\(974\) | −0.0951117 | − | 0.0798082i | −0.00304758 | − | 0.00255722i | ||||
\(975\) | −18.2590 | − | 2.51512i | −0.584754 | − | 0.0805484i | ||||
\(976\) | 0.455922 | + | 2.58566i | 0.0145937 | + | 0.0827651i | ||||
\(977\) | 18.9119 | + | 6.88338i | 0.605046 | + | 0.220219i | 0.626334 | − | 0.779555i | \(-0.284555\pi\) |
−0.0212882 | + | 0.999773i | \(0.506777\pi\) | |||||||
\(978\) | −0.846847 | − | 0.935351i | −0.0270792 | − | 0.0299092i | ||||
\(979\) | −4.60620 | + | 26.1231i | −0.147215 | + | 0.834897i | ||||
\(980\) | −0.0475475 | + | 0.0823547i | −0.00151885 | + | 0.00263073i | ||||
\(981\) | 39.8029 | + | 11.1776i | 1.27081 | + | 0.356873i | ||||
\(982\) | 0.477276 | + | 0.826666i | 0.0152305 | + | 0.0263800i | ||||
\(983\) | 19.6809 | − | 7.16328i | 0.627725 | − | 0.228473i | −0.00851605 | − | 0.999964i | \(-0.502711\pi\) |
0.636241 | + | 0.771491i | \(0.280489\pi\) | |||||||
\(984\) | 0.161707 | + | 4.29332i | 0.00515502 | + | 0.136866i | ||||
\(985\) | −0.364739 | + | 0.306052i | −0.0116215 | + | 0.00975163i | ||||
\(986\) | −0.141879 | + | 0.119051i | −0.00451835 | + | 0.00379135i | ||||
\(987\) | −7.33168 | − | 3.87259i | −0.233370 | − | 0.123266i | ||||
\(988\) | 8.96952 | − | 3.26464i | 0.285358 | − | 0.103862i | ||||
\(989\) | −30.3879 | − | 52.6334i | −0.966280 | − | 1.67365i | ||||
\(990\) | −0.0189026 | − | 0.0276956i | −0.000600764 | − | 0.000880225i | ||||
\(991\) | −27.0635 | + | 46.8753i | −0.859700 | + | 1.48904i | 0.0125160 | + | 0.999922i | \(0.496016\pi\) |
−0.872216 | + | 0.489122i | \(0.837317\pi\) | |||||||
\(992\) | −0.898001 | + | 5.09282i | −0.0285116 | + | 0.161697i | ||||
\(993\) | −3.36703 | + | 10.4601i | −0.106849 | + | 0.331941i | ||||
\(994\) | 1.40881 | + | 0.512763i | 0.0446846 | + | 0.0162639i | ||||
\(995\) | 0.0359391 | + | 0.203821i | 0.00113935 | + | 0.00646155i | ||||
\(996\) | −25.4564 | + | 32.7674i | −0.806617 | + | 1.03828i | ||||
\(997\) | 9.72628 | + | 8.16132i | 0.308034 | + | 0.258471i | 0.783679 | − | 0.621166i | \(-0.213341\pi\) |
−0.475645 | + | 0.879638i | \(0.657785\pi\) | |||||||
\(998\) | 0.788863 | 0.0249710 | ||||||||
\(999\) | 1.75875 | + | 15.5060i | 0.0556442 | + | 0.490588i |
(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 | 189.2.v.a.43.4 | yes | 54 | |
3.2 | odd | 2 | 567.2.v.b.127.6 | 54 | |||
27.5 | odd | 18 | 567.2.v.b.442.6 | 54 | |||
27.7 | even | 9 | 5103.2.a.i.1.13 | 27 | |||
27.20 | odd | 18 | 5103.2.a.f.1.15 | 27 | |||
27.22 | even | 9 | inner | 189.2.v.a.22.4 | ✓ | 54 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
189.2.v.a.22.4 | ✓ | 54 | 27.22 | even | 9 | inner | |
189.2.v.a.43.4 | yes | 54 | 1.1 | even | 1 | trivial | |
567.2.v.b.127.6 | 54 | 3.2 | odd | 2 | |||
567.2.v.b.442.6 | 54 | 27.5 | odd | 18 | |||
5103.2.a.f.1.15 | 27 | 27.20 | odd | 18 | |||
5103.2.a.i.1.13 | 27 | 27.7 | even | 9 |