Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [605,2,Mod(56,605)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(605, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("605.56");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 605 = 5 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 605.k (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: | \(4.83094932229\) |
Analytic rank: | \(0\) |
Dimension: | \(220\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 56.12 | ||
Character | \(\chi\) | \(=\) | 605.56 |
Dual form | 605.2.k.b.551.12 |
$q$-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 \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).
\(n\) | \(122\) | \(486\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.0357503 | − | 0.0104972i | −0.0252793 | − | 0.00742267i | 0.269068 | − | 0.963121i | \(-0.413284\pi\) |
−0.294348 | + | 0.955698i | \(0.595102\pi\) | |||||||
\(3\) | 2.77455 | 1.60189 | 0.800945 | − | 0.598738i | \(-0.204331\pi\) | ||||
0.800945 | + | 0.598738i | \(0.204331\pi\) | |||||||
\(4\) | −1.68134 | − | 1.08053i | −0.840670 | − | 0.540266i | ||||
\(5\) | 0.654861 | − | 0.755750i | 0.292863 | − | 0.337981i | ||||
\(6\) | −0.0991912 | − | 0.0291252i | −0.0404946 | − | 0.0118903i | ||||
\(7\) | 0.491662 | − | 1.07659i | 0.185831 | − | 0.406913i | −0.793671 | − | 0.608347i | \(-0.791833\pi\) |
0.979502 | + | 0.201434i | \(0.0645602\pi\) | |||||||
\(8\) | 0.0975655 | + | 0.112597i | 0.0344946 | + | 0.0398089i | ||||
\(9\) | 4.69815 | 1.56605 | ||||||||
\(10\) | −0.0313448 | + | 0.0201441i | −0.00991209 | + | 0.00637011i | ||||
\(11\) | 3.22549 | + | 0.772132i | 0.972523 | + | 0.232807i | ||||
\(12\) | −4.66497 | − | 2.99799i | −1.34666 | − | 0.865446i | ||||
\(13\) | −2.66286 | − | 1.71132i | −0.738545 | − | 0.474634i | 0.116498 | − | 0.993191i | \(-0.462833\pi\) |
−0.855043 | + | 0.518557i | \(0.826469\pi\) | |||||||
\(14\) | −0.0288783 | + | 0.0333273i | −0.00771805 | + | 0.00890710i | ||||
\(15\) | 1.81695 | − | 2.09687i | 0.469134 | − | 0.541409i | ||||
\(16\) | 1.65820 | + | 3.63095i | 0.414550 | + | 0.907738i | ||||
\(17\) | −0.586282 | − | 4.07768i | −0.142194 | − | 0.988982i | −0.928550 | − | 0.371208i | \(-0.878944\pi\) |
0.786356 | − | 0.617774i | \(-0.211965\pi\) | |||||||
\(18\) | −0.167960 | − | 0.0493176i | −0.0395887 | − | 0.0116243i | ||||
\(19\) | −0.231329 | + | 1.60893i | −0.0530706 | + | 0.369114i | 0.945928 | + | 0.324376i | \(0.105154\pi\) |
−0.998999 | + | 0.0447380i | \(0.985755\pi\) | |||||||
\(20\) | −1.91765 | + | 0.563074i | −0.428800 | + | 0.125907i | ||||
\(21\) | 1.36414 | − | 2.98706i | 0.297680 | − | 0.651829i | ||||
\(22\) | −0.107207 | − | 0.0614628i | −0.0228567 | − | 0.0131039i | ||||
\(23\) | 1.53868 | + | 3.36924i | 0.320837 | + | 0.702534i | 0.999490 | − | 0.0319242i | \(-0.0101635\pi\) |
−0.678654 | + | 0.734458i | \(0.737436\pi\) | |||||||
\(24\) | 0.270701 | + | 0.312405i | 0.0552566 | + | 0.0637695i | ||||
\(25\) | −0.142315 | − | 0.989821i | −0.0284630 | − | 0.197964i | ||||
\(26\) | 0.0772341 | + | 0.0891329i | 0.0151468 | + | 0.0174804i | ||||
\(27\) | 4.71161 | 0.906750 | ||||||||
\(28\) | −1.98994 | + | 1.27886i | −0.376063 | + | 0.241681i | ||||
\(29\) | 1.44131 | − | 10.0246i | 0.267645 | − | 1.86151i | −0.202984 | − | 0.979182i | \(-0.565064\pi\) |
0.470629 | − | 0.882331i | \(-0.344027\pi\) | |||||||
\(30\) | −0.0869678 | + | 0.0558908i | −0.0158781 | + | 0.0102042i | ||||
\(31\) | −4.84693 | + | 3.11494i | −0.870535 | + | 0.559459i | −0.897916 | − | 0.440166i | \(-0.854920\pi\) |
0.0273812 | + | 0.999625i | \(0.491283\pi\) | |||||||
\(32\) | −0.0635722 | − | 0.442155i | −0.0112381 | − | 0.0781626i | ||||
\(33\) | 8.94931 | + | 2.14232i | 1.55787 | + | 0.372930i | ||||
\(34\) | −0.0218446 | + | 0.151933i | −0.00374632 | + | 0.0260562i | ||||
\(35\) | −0.491662 | − | 1.07659i | −0.0831060 | − | 0.181977i | ||||
\(36\) | −7.89919 | − | 5.07650i | −1.31653 | − | 0.846083i | ||||
\(37\) | 6.33920 | − | 4.07396i | 1.04216 | − | 0.669754i | 0.0966384 | − | 0.995320i | \(-0.469191\pi\) |
0.945520 | + | 0.325565i | \(0.105555\pi\) | |||||||
\(38\) | 0.0251595 | − | 0.0550915i | 0.00408140 | − | 0.00893702i | ||||
\(39\) | −7.38825 | − | 4.74814i | −1.18307 | − | 0.760311i | ||||
\(40\) | 0.148987 | 0.0235569 | ||||||||
\(41\) | 3.17974 | + | 0.933657i | 0.496592 | + | 0.145813i | 0.520432 | − | 0.853903i | \(-0.325771\pi\) |
−0.0238396 | + | 0.999716i | \(0.507589\pi\) | |||||||
\(42\) | −0.0801244 | + | 0.0924685i | −0.0123635 | + | 0.0142682i | ||||
\(43\) | 3.33585 | + | 3.84978i | 0.508713 | + | 0.587086i | 0.950769 | − | 0.309902i | \(-0.100296\pi\) |
−0.442056 | + | 0.896988i | \(0.645751\pi\) | |||||||
\(44\) | −4.58884 | − | 4.78346i | −0.691793 | − | 0.721134i | ||||
\(45\) | 3.07663 | − | 3.55063i | 0.458638 | − | 0.529296i | ||||
\(46\) | −0.0196406 | − | 0.136603i | −0.00289584 | − | 0.0201410i | ||||
\(47\) | −7.63488 | + | 2.24180i | −1.11366 | + | 0.327001i | −0.786267 | − | 0.617887i | \(-0.787989\pi\) |
−0.327395 | + | 0.944888i | \(0.606171\pi\) | |||||||
\(48\) | 4.60077 | + | 10.0743i | 0.664064 | + | 1.45410i | ||||
\(49\) | 3.66671 | + | 4.23161i | 0.523816 | + | 0.604516i | ||||
\(50\) | −0.00530259 | + | 0.0368804i | −0.000749900 | + | 0.00521567i | ||||
\(51\) | −1.62667 | − | 11.3137i | −0.227779 | − | 1.58424i | ||||
\(52\) | 2.62804 | + | 5.75461i | 0.364444 | + | 0.798021i | ||||
\(53\) | −4.74128 | + | 10.3820i | −0.651265 | + | 1.42607i | 0.239177 | + | 0.970976i | \(0.423122\pi\) |
−0.890442 | + | 0.455096i | \(0.849605\pi\) | |||||||
\(54\) | −0.168442 | − | 0.0494589i | −0.0229220 | − | 0.00673051i | ||||
\(55\) | 2.69579 | − | 1.93203i | 0.363500 | − | 0.260514i | ||||
\(56\) | 0.169190 | − | 0.0496785i | 0.0226089 | − | 0.00663858i | ||||
\(57\) | −0.641836 | + | 4.46407i | −0.0850133 | + | 0.591280i | ||||
\(58\) | −0.156758 | + | 0.343251i | −0.0205833 | + | 0.0450711i | ||||
\(59\) | 0.960989 | − | 0.282172i | 0.125110 | − | 0.0367356i | −0.218578 | − | 0.975819i | \(-0.570142\pi\) |
0.343688 | + | 0.939084i | \(0.388324\pi\) | |||||||
\(60\) | −5.32063 | + | 1.56228i | −0.686891 | + | 0.201689i | ||||
\(61\) | −4.17534 | + | 1.22599i | −0.534597 | + | 0.156972i | −0.537878 | − | 0.843023i | \(-0.680774\pi\) |
0.00328089 | + | 0.999995i | \(0.498956\pi\) | |||||||
\(62\) | 0.205978 | − | 0.0604805i | 0.0261592 | − | 0.00768103i | ||||
\(63\) | 2.30990 | − | 5.05798i | 0.291020 | − | 0.637246i | ||||
\(64\) | 1.13378 | − | 7.88561i | 0.141722 | − | 0.985701i | ||||
\(65\) | −3.03713 | + | 0.891782i | −0.376710 | + | 0.110612i | ||||
\(66\) | −0.297452 | − | 0.170532i | −0.0366138 | − | 0.0209910i | ||||
\(67\) | −0.575758 | − | 0.169058i | −0.0703401 | − | 0.0206537i | 0.246373 | − | 0.969175i | \(-0.420761\pi\) |
−0.316713 | + | 0.948521i | \(0.602579\pi\) | |||||||
\(68\) | −3.42032 | + | 7.48946i | −0.414775 | + | 0.908230i | ||||
\(69\) | 4.26915 | + | 9.34813i | 0.513945 | + | 1.12538i | ||||
\(70\) | 0.00627585 | + | 0.0436495i | 0.000750108 | + | 0.00521712i | ||||
\(71\) | −2.15350 | + | 14.9779i | −0.255574 | + | 1.77755i | 0.307898 | + | 0.951419i | \(0.400374\pi\) |
−0.563472 | + | 0.826135i | \(0.690535\pi\) | |||||||
\(72\) | 0.458378 | + | 0.528996i | 0.0540203 | + | 0.0623428i | ||||
\(73\) | 3.46585 | + | 7.58916i | 0.405648 | + | 0.888244i | 0.996666 | + | 0.0815864i | \(0.0259987\pi\) |
−0.591019 | + | 0.806658i | \(0.701274\pi\) | |||||||
\(74\) | −0.269394 | + | 0.0791011i | −0.0313164 | + | 0.00919532i | ||||
\(75\) | −0.394860 | − | 2.74631i | −0.0455945 | − | 0.317117i | ||||
\(76\) | 2.12744 | − | 2.45520i | 0.244035 | − | 0.281631i | ||||
\(77\) | 2.41712 | − | 3.09291i | 0.275457 | − | 0.352469i | ||||
\(78\) | 0.214290 | + | 0.247304i | 0.0242636 | + | 0.0280017i | ||||
\(79\) | −5.65616 | + | 6.52755i | −0.636367 | + | 0.734407i | −0.978728 | − | 0.205161i | \(-0.934228\pi\) |
0.342361 | + | 0.939569i | \(0.388774\pi\) | |||||||
\(80\) | 3.82998 | + | 1.12458i | 0.428205 | + | 0.125732i | ||||
\(81\) | −1.02183 | −0.113537 | ||||||||
\(82\) | −0.103876 | − | 0.0667571i | −0.0114712 | − | 0.00737209i | ||||
\(83\) | 2.53349 | − | 5.54756i | 0.278086 | − | 0.608924i | −0.718123 | − | 0.695917i | \(-0.754998\pi\) |
0.996209 | + | 0.0869924i | \(0.0277256\pi\) | |||||||
\(84\) | −5.52119 | + | 3.54826i | −0.602412 | + | 0.387146i | ||||
\(85\) | −3.46564 | − | 2.22723i | −0.375901 | − | 0.241577i | ||||
\(86\) | −0.0788457 | − | 0.172648i | −0.00850216 | − | 0.0186171i | ||||
\(87\) | 3.99900 | − | 27.8137i | 0.428738 | − | 2.98194i | ||||
\(88\) | 0.227758 | + | 0.438513i | 0.0242790 | + | 0.0467457i | ||||
\(89\) | 0.877182 | + | 6.10093i | 0.0929811 | + | 0.646697i | 0.982008 | + | 0.188842i | \(0.0604733\pi\) |
−0.889026 | + | 0.457856i | \(0.848618\pi\) | |||||||
\(90\) | −0.147262 | + | 0.0946398i | −0.0155228 | + | 0.00997592i | ||||
\(91\) | −3.15161 | + | 2.02542i | −0.330379 | + | 0.212322i | ||||
\(92\) | 1.05352 | − | 7.32742i | 0.109837 | − | 0.763936i | ||||
\(93\) | −13.4481 | + | 8.64256i | −1.39450 | + | 0.896192i | ||||
\(94\) | 0.296482 | 0.0305798 | ||||||||
\(95\) | 1.06446 | + | 1.22845i | 0.109211 | + | 0.126037i | ||||
\(96\) | −0.176385 | − | 1.22678i | −0.0180022 | − | 0.125208i | ||||
\(97\) | −4.51605 | − | 5.21180i | −0.458535 | − | 0.529178i | 0.478652 | − | 0.878005i | \(-0.341126\pi\) |
−0.937187 | + | 0.348827i | \(0.886580\pi\) | |||||||
\(98\) | −0.0866659 | − | 0.189772i | −0.00875458 | − | 0.0191698i | ||||
\(99\) | 15.1539 | + | 3.62759i | 1.52302 | + | 0.364587i | ||||
\(100\) | −0.830253 | + | 1.81800i | −0.0830253 | + | 0.181800i | ||||
\(101\) | 18.6919 | − | 5.48844i | 1.85991 | − | 0.546120i | 0.860591 | − | 0.509296i | \(-0.170094\pi\) |
0.999322 | − | 0.0368237i | \(-0.0117240\pi\) | |||||||
\(102\) | −0.0606091 | + | 0.421545i | −0.00600119 | + | 0.0417392i | ||||
\(103\) | 7.05614 | + | 2.07187i | 0.695262 | + | 0.204147i | 0.610222 | − | 0.792230i | \(-0.291080\pi\) |
0.0850398 | + | 0.996378i | \(0.472898\pi\) | |||||||
\(104\) | −0.0671150 | − | 0.466795i | −0.00658116 | − | 0.0457730i | ||||
\(105\) | −1.36414 | − | 2.98706i | −0.133127 | − | 0.291507i | ||||
\(106\) | 0.278484 | − | 0.321388i | 0.0270488 | − | 0.0312160i | ||||
\(107\) | −2.59921 | + | 2.99965i | −0.251275 | + | 0.289987i | −0.867348 | − | 0.497702i | \(-0.834177\pi\) |
0.616073 | + | 0.787689i | \(0.288723\pi\) | |||||||
\(108\) | −7.92182 | − | 5.09104i | −0.762277 | − | 0.489886i | ||||
\(109\) | −8.53688 | − | 5.48632i | −0.817684 | − | 0.525494i | 0.0636581 | − | 0.997972i | \(-0.479723\pi\) |
−0.881343 | + | 0.472478i | \(0.843360\pi\) | |||||||
\(110\) | −0.116656 | + | 0.0407723i | −0.0111227 | + | 0.00388748i | ||||
\(111\) | 17.5885 | − | 11.3034i | 1.66942 | − | 1.07287i | ||||
\(112\) | 4.72432 | 0.446406 | ||||||||
\(113\) | −5.54069 | − | 6.39430i | −0.521225 | − | 0.601525i | 0.432712 | − | 0.901532i | \(-0.357557\pi\) |
−0.953937 | + | 0.300007i | \(0.903011\pi\) | |||||||
\(114\) | 0.0698063 | − | 0.152854i | 0.00653796 | − | 0.0143161i | ||||
\(115\) | 3.55392 | + | 1.04352i | 0.331405 | + | 0.0973092i | ||||
\(116\) | −13.2552 | + | 15.2973i | −1.23071 | + | 1.42032i | ||||
\(117\) | −12.5105 | − | 8.04003i | −1.15660 | − | 0.743301i | ||||
\(118\) | −0.0373177 | −0.00343537 | ||||||||
\(119\) | −4.67824 | − | 1.37365i | −0.428853 | − | 0.125923i | ||||
\(120\) | 0.413372 | 0.0377355 | ||||||||
\(121\) | 9.80762 | + | 4.98101i | 0.891602 | + | 0.452819i | ||||
\(122\) | 0.162139 | 0.0146794 | ||||||||
\(123\) | 8.82237 | + | 2.59048i | 0.795486 | + | 0.233576i | ||||
\(124\) | 11.5151 | 1.03409 | ||||||||
\(125\) | −0.841254 | − | 0.540641i | −0.0752440 | − | 0.0483564i | ||||
\(126\) | −0.135675 | + | 0.156577i | −0.0120869 | + | 0.0139490i | ||||
\(127\) | −17.7078 | − | 5.19948i | −1.57131 | − | 0.461379i | −0.623930 | − | 0.781480i | \(-0.714465\pi\) |
−0.947384 | + | 0.320101i | \(0.896283\pi\) | |||||||
\(128\) | −0.494443 | + | 1.08268i | −0.0437030 | + | 0.0956963i | ||||
\(129\) | 9.25550 | + | 10.6814i | 0.814902 | + | 0.940447i | ||||
\(130\) | 0.117940 | 0.0103440 | ||||||||
\(131\) | −12.7323 | + | 8.18252i | −1.11242 | + | 0.714910i | −0.961820 | − | 0.273684i | \(-0.911758\pi\) |
−0.150603 | + | 0.988594i | \(0.548121\pi\) | |||||||
\(132\) | −12.7320 | − | 13.2720i | −1.10818 | − | 1.15518i | ||||
\(133\) | 1.61842 | + | 1.04010i | 0.140335 | + | 0.0901879i | ||||
\(134\) | 0.0188089 | + | 0.0120877i | 0.00162484 | + | 0.00104422i | ||||
\(135\) | 3.08545 | − | 3.56080i | 0.265553 | − | 0.306465i | ||||
\(136\) | 0.401932 | − | 0.463854i | 0.0344654 | − | 0.0397752i | ||||
\(137\) | 6.59135 | + | 14.4331i | 0.563137 | + | 1.23310i | 0.950372 | + | 0.311117i | \(0.100703\pi\) |
−0.387234 | + | 0.921981i | \(0.626570\pi\) | |||||||
\(138\) | −0.0544938 | − | 0.379013i | −0.00463882 | − | 0.0322637i | ||||
\(139\) | 9.49438 | + | 2.78780i | 0.805303 | + | 0.236458i | 0.658376 | − | 0.752689i | \(-0.271244\pi\) |
0.146927 | + | 0.989147i | \(0.453062\pi\) | |||||||
\(140\) | −0.336638 | + | 2.34137i | −0.0284511 | + | 0.197882i | ||||
\(141\) | −21.1834 | + | 6.22000i | −1.78396 | + | 0.523819i | ||||
\(142\) | 0.234215 | − | 0.512860i | 0.0196549 | − | 0.0430383i | ||||
\(143\) | −7.26768 | − | 7.57592i | −0.607754 | − | 0.633531i | ||||
\(144\) | 7.79048 | + | 17.0588i | 0.649206 | + | 1.42156i | ||||
\(145\) | −6.63219 | − | 7.65396i | −0.550774 | − | 0.635627i | ||||
\(146\) | −0.0442401 | − | 0.307697i | −0.00366134 | − | 0.0254652i | ||||
\(147\) | 10.1735 | + | 11.7408i | 0.839095 | + | 0.968368i | ||||
\(148\) | −15.0604 | −1.23796 | ||||||||
\(149\) | −14.3010 | + | 9.19071i | −1.17159 | + | 0.752932i | −0.973821 | − | 0.227317i | \(-0.927005\pi\) |
−0.197765 | + | 0.980250i | \(0.563368\pi\) | |||||||
\(150\) | −0.0147123 | + | 0.102327i | −0.00120126 | + | 0.00835493i | ||||
\(151\) | −0.826860 | + | 0.531391i | −0.0672889 | + | 0.0432440i | −0.573853 | − | 0.818959i | \(-0.694552\pi\) |
0.506564 | + | 0.862202i | \(0.330915\pi\) | |||||||
\(152\) | −0.203730 | + | 0.130929i | −0.0165247 | + | 0.0106198i | ||||
\(153\) | −2.75444 | − | 19.1575i | −0.222683 | − | 1.54880i | ||||
\(154\) | −0.118880 | + | 0.0851993i | −0.00957961 | + | 0.00686555i | ||||
\(155\) | −0.819956 | + | 5.70292i | −0.0658604 | + | 0.458069i | ||||
\(156\) | 7.29165 | + | 15.9665i | 0.583799 | + | 1.27834i | ||||
\(157\) | 1.83549 | + | 1.17960i | 0.146488 | + | 0.0941423i | 0.611832 | − | 0.790988i | \(-0.290433\pi\) |
−0.465344 | + | 0.885130i | \(0.654069\pi\) | |||||||
\(158\) | 0.270731 | − | 0.173988i | 0.0215382 | − | 0.0138418i | ||||
\(159\) | −13.1549 | + | 28.8053i | −1.04326 | + | 2.28441i | ||||
\(160\) | −0.375789 | − | 0.241505i | −0.0297087 | − | 0.0190927i | ||||
\(161\) | 4.38379 | 0.345491 | ||||||||
\(162\) | 0.0365307 | + | 0.0107264i | 0.00287012 | + | 0.000842744i | ||||
\(163\) | 10.4156 | − | 12.0202i | 0.815809 | − | 0.941494i | −0.183327 | − | 0.983052i | \(-0.558687\pi\) |
0.999136 | + | 0.0415581i | \(0.0132322\pi\) | |||||||
\(164\) | −4.33738 | − | 5.00561i | −0.338693 | − | 0.390872i | ||||
\(165\) | 7.47961 | − | 5.36051i | 0.582287 | − | 0.417315i | ||||
\(166\) | −0.148807 | + | 0.171733i | −0.0115497 | + | 0.0133290i | ||||
\(167\) | 1.86347 | + | 12.9607i | 0.144200 | + | 1.00293i | 0.925492 | + | 0.378766i | \(0.123652\pi\) |
−0.781292 | + | 0.624165i | \(0.785439\pi\) | |||||||
\(168\) | 0.469426 | − | 0.137836i | 0.0362170 | − | 0.0106343i | ||||
\(169\) | −1.23817 | − | 2.71121i | −0.0952438 | − | 0.208555i | ||||
\(170\) | 0.100518 | + | 0.116004i | 0.00770937 | + | 0.00889709i | ||||
\(171\) | −1.08682 | + | 7.55901i | −0.0831113 | + | 0.578052i | ||||
\(172\) | −1.44889 | − | 10.0773i | −0.110477 | − | 0.768385i | ||||
\(173\) | −7.02319 | − | 15.3786i | −0.533963 | − | 1.16922i | −0.963877 | − | 0.266347i | \(-0.914183\pi\) |
0.429914 | − | 0.902870i | \(-0.358544\pi\) | |||||||
\(174\) | −0.434933 | + | 0.952369i | −0.0329722 | + | 0.0721989i | ||||
\(175\) | −1.13560 | − | 0.333443i | −0.0858435 | − | 0.0252059i | ||||
\(176\) | 2.54494 | + | 12.9920i | 0.191832 | + | 0.979306i | ||||
\(177\) | 2.66632 | − | 0.782901i | 0.200413 | − | 0.0588465i | ||||
\(178\) | 0.0326834 | − | 0.227318i | 0.00244973 | − | 0.0170382i | ||||
\(179\) | −5.89484 | + | 12.9079i | −0.440601 | + | 0.964781i | 0.550887 | + | 0.834580i | \(0.314290\pi\) |
−0.991488 | + | 0.130201i | \(0.958438\pi\) | |||||||
\(180\) | −9.00943 | + | 2.64541i | −0.671523 | + | 0.197177i | ||||
\(181\) | 4.65646 | − | 1.36726i | 0.346112 | − | 0.101628i | −0.104056 | − | 0.994571i | \(-0.533182\pi\) |
0.450168 | + | 0.892944i | \(0.351364\pi\) | |||||||
\(182\) | 0.133933 | − | 0.0393261i | 0.00992774 | − | 0.00291505i | ||||
\(183\) | −11.5847 | + | 3.40157i | −0.856365 | + | 0.251452i | ||||
\(184\) | −0.229243 | + | 0.501971i | −0.0169000 | + | 0.0370058i | ||||
\(185\) | 1.07240 | − | 7.45872i | 0.0788446 | − | 0.548376i | ||||
\(186\) | 0.571496 | − | 0.167806i | 0.0419041 | − | 0.0123042i | ||||
\(187\) | 1.25746 | − | 13.6052i | 0.0919544 | − | 0.994912i | ||||
\(188\) | 15.2592 | + | 4.48049i | 1.11289 | + | 0.326774i | ||||
\(189\) | 2.31652 | − | 5.07247i | 0.168502 | − | 0.368968i | ||||
\(190\) | −0.0251595 | − | 0.0550915i | −0.00182526 | − | 0.00399676i | ||||
\(191\) | −2.10329 | − | 14.6287i | −0.152189 | − | 1.05849i | −0.912541 | − | 0.408984i | \(-0.865883\pi\) |
0.760353 | − | 0.649510i | \(-0.225026\pi\) | |||||||
\(192\) | 3.14573 | − | 21.8791i | 0.227024 | − | 1.57898i | ||||
\(193\) | −2.56100 | − | 2.95555i | −0.184345 | − | 0.212745i | 0.656054 | − | 0.754714i | \(-0.272224\pi\) |
−0.840398 | + | 0.541969i | \(0.817679\pi\) | |||||||
\(194\) | 0.106741 | + | 0.233730i | 0.00766354 | + | 0.0167808i | ||||
\(195\) | −8.42668 | + | 2.47430i | −0.603447 | + | 0.177188i | ||||
\(196\) | −1.59260 | − | 11.0768i | −0.113757 | − | 0.791198i | ||||
\(197\) | −2.06168 | + | 2.37931i | −0.146889 | + | 0.169519i | −0.824426 | − | 0.565970i | \(-0.808502\pi\) |
0.677537 | + | 0.735489i | \(0.263047\pi\) | |||||||
\(198\) | −0.503676 | − | 0.288761i | −0.0357947 | − | 0.0205214i | ||||
\(199\) | 3.96068 | + | 4.57087i | 0.280765 | + | 0.324020i | 0.878563 | − | 0.477627i | \(-0.158503\pi\) |
−0.597798 | + | 0.801647i | \(0.703957\pi\) | |||||||
\(200\) | 0.0975655 | − | 0.112597i | 0.00689892 | − | 0.00796178i | ||||
\(201\) | −1.59747 | − | 0.469060i | −0.112677 | − | 0.0330850i | ||||
\(202\) | −0.725855 | −0.0510710 | ||||||||
\(203\) | −10.0837 | − | 6.48040i | −0.707737 | − | 0.454835i | ||||
\(204\) | −9.48986 | + | 20.7799i | −0.664423 | + | 1.45488i | ||||
\(205\) | 2.78790 | − | 1.79167i | 0.194715 | − | 0.125136i | ||||
\(206\) | −0.230510 | − | 0.148140i | −0.0160604 | − | 0.0103214i | ||||
\(207\) | 7.22894 | + | 15.8292i | 0.502446 | + | 1.10020i | ||||
\(208\) | 1.79815 | − | 12.5064i | 0.124680 | − | 0.867165i | ||||
\(209\) | −1.98846 | + | 5.01098i | −0.137545 | + | 0.346617i | ||||
\(210\) | 0.0174127 | + | 0.121108i | 0.00120159 | + | 0.00835724i | ||||
\(211\) | −2.60774 | + | 1.67589i | −0.179524 | + | 0.115373i | −0.627316 | − | 0.778764i | \(-0.715847\pi\) |
0.447792 | + | 0.894138i | \(0.352210\pi\) | |||||||
\(212\) | 19.1897 | − | 12.3325i | 1.31796 | − | 0.846999i | ||||
\(213\) | −5.97501 | + | 41.5571i | −0.409401 | + | 2.84745i | ||||
\(214\) | 0.124411 | − | 0.0799539i | 0.00850454 | − | 0.00546554i | ||||
\(215\) | 5.09399 | 0.347407 | ||||||||
\(216\) | 0.459691 | + | 0.530512i | 0.0312780 | + | 0.0360967i | ||||
\(217\) | 0.970454 | + | 6.74965i | 0.0658787 | + | 0.458196i | ||||
\(218\) | 0.247605 | + | 0.285751i | 0.0167699 | + | 0.0193535i | ||||
\(219\) | 9.61620 | + | 21.0565i | 0.649803 | + | 1.42287i | ||||
\(220\) | −6.62015 | + | 0.335510i | −0.446330 | + | 0.0226201i | ||||
\(221\) | −5.41701 | + | 11.8616i | −0.364388 | + | 0.797898i | ||||
\(222\) | −0.747448 | + | 0.219470i | −0.0501654 | + | 0.0147299i | ||||
\(223\) | 2.47607 | − | 17.2214i | 0.165810 | − | 1.15323i | −0.721620 | − | 0.692289i | \(-0.756602\pi\) |
0.887430 | − | 0.460943i | \(-0.152489\pi\) | |||||||
\(224\) | −0.507275 | − | 0.148949i | −0.0338937 | − | 0.00995210i | ||||
\(225\) | −0.668617 | − | 4.65033i | −0.0445744 | − | 0.310022i | ||||
\(226\) | 0.130959 | + | 0.286760i | 0.00871127 | + | 0.0190750i | ||||
\(227\) | −12.4506 | + | 14.3687i | −0.826375 | + | 0.953687i | −0.999513 | − | 0.0312102i | \(-0.990064\pi\) |
0.173138 | + | 0.984898i | \(0.444609\pi\) | |||||||
\(228\) | 5.90271 | − | 6.81209i | 0.390916 | − | 0.451142i | ||||
\(229\) | 6.06196 | + | 3.89578i | 0.400586 | + | 0.257441i | 0.725387 | − | 0.688342i | \(-0.241661\pi\) |
−0.324801 | + | 0.945782i | \(0.605297\pi\) | |||||||
\(230\) | −0.116100 | − | 0.0746127i | −0.00765538 | − | 0.00491982i | ||||
\(231\) | 6.70644 | − | 8.58143i | 0.441251 | − | 0.564617i | ||||
\(232\) | 1.26935 | − | 0.815764i | 0.0833372 | − | 0.0535575i | ||||
\(233\) | −1.34529 | −0.0881328 | −0.0440664 | − | 0.999029i | \(-0.514031\pi\) | ||||
−0.0440664 | + | 0.999029i | \(0.514031\pi\) | |||||||
\(234\) | 0.362857 | + | 0.418760i | 0.0237207 | + | 0.0273752i | ||||
\(235\) | −3.30554 | + | 7.23813i | −0.215630 | + | 0.472163i | ||||
\(236\) | −1.92064 | − | 0.563952i | −0.125023 | − | 0.0367102i | ||||
\(237\) | −15.6933 | + | 18.1111i | −1.01939 | + | 1.17644i | ||||
\(238\) | 0.152829 | + | 0.0982172i | 0.00990643 | + | 0.00636648i | ||||
\(239\) | −23.7589 | −1.53684 | −0.768419 | − | 0.639947i | \(-0.778956\pi\) | ||||
−0.768419 | + | 0.639947i | \(0.778956\pi\) | |||||||
\(240\) | 10.6265 | + | 3.12022i | 0.685937 | + | 0.201409i | ||||
\(241\) | 23.2537 | 1.49791 | 0.748953 | − | 0.662624i | \(-0.230557\pi\) | ||||
0.748953 | + | 0.662624i | \(0.230557\pi\) | |||||||
\(242\) | −0.298339 | − | 0.281026i | −0.0191779 | − | 0.0180650i | ||||
\(243\) | −16.9700 | −1.08862 | ||||||||
\(244\) | 8.34487 | + | 2.45028i | 0.534226 | + | 0.156863i | ||||
\(245\) | 5.59922 | 0.357721 | ||||||||
\(246\) | −0.288210 | − | 0.185221i | −0.0183756 | − | 0.0118093i | ||||
\(247\) | 3.36939 | − | 3.88848i | 0.214389 | − | 0.247418i | ||||
\(248\) | −0.823625 | − | 0.241838i | −0.0523002 | − | 0.0153567i | ||||
\(249\) | 7.02930 | − | 15.3920i | 0.445464 | − | 0.975429i | ||||
\(250\) | 0.0243998 | + | 0.0281589i | 0.00154318 | + | 0.00178093i | ||||
\(251\) | 0.00726920 | 0.000458828 | 0.000229414 | − | 1.00000i | \(-0.499927\pi\) | ||||
0.000229414 | 1.00000i | \(0.499927\pi\) | ||||||||
\(252\) | −9.34903 | + | 6.00826i | −0.588934 | + | 0.378485i | ||||
\(253\) | 2.36150 | + | 12.0555i | 0.148466 | + | 0.757924i | ||||
\(254\) | 0.578480 | + | 0.371766i | 0.0362970 | + | 0.0233267i | ||||
\(255\) | −9.61560 | − | 6.17957i | −0.602152 | − | 0.386980i | ||||
\(256\) | −10.4051 | + | 12.0081i | −0.650320 | + | 0.750509i | ||||
\(257\) | 1.42323 | − | 1.64250i | 0.0887787 | − | 0.102456i | −0.709622 | − | 0.704583i | \(-0.751134\pi\) |
0.798401 | + | 0.602127i | \(0.205680\pi\) | |||||||
\(258\) | −0.218762 | − | 0.479022i | −0.0136195 | − | 0.0298226i | ||||
\(259\) | −1.26924 | − | 8.82772i | −0.0788664 | − | 0.548528i | ||||
\(260\) | 6.07005 | + | 1.78233i | 0.376448 | + | 0.110535i | ||||
\(261\) | 6.77151 | − | 47.0969i | 0.419146 | − | 2.91522i | ||||
\(262\) | 0.541076 | − | 0.158874i | 0.0334278 | − | 0.00981529i | ||||
\(263\) | 5.37959 | − | 11.7796i | 0.331719 | − | 0.726364i | −0.668124 | − | 0.744050i | \(-0.732903\pi\) |
0.999844 | + | 0.0176856i | \(0.00562978\pi\) | |||||||
\(264\) | 0.631926 | + | 1.21668i | 0.0388923 | + | 0.0748814i | ||||
\(265\) | 4.74128 | + | 10.3820i | 0.291255 | + | 0.637759i | ||||
\(266\) | −0.0469410 | − | 0.0541728i | −0.00287814 | − | 0.00332155i | ||||
\(267\) | 2.43379 | + | 16.9274i | 0.148945 | + | 1.03594i | ||||
\(268\) | 0.785372 | + | 0.906368i | 0.0479743 | + | 0.0553652i | ||||
\(269\) | 27.8596 | 1.69863 | 0.849316 | − | 0.527885i | \(-0.177015\pi\) | ||||
0.849316 | + | 0.527885i | \(0.177015\pi\) | |||||||
\(270\) | −0.147684 | + | 0.0949110i | −0.00898779 | + | 0.00577610i | ||||
\(271\) | 1.28267 | − | 8.92117i | 0.0779167 | − | 0.541923i | −0.913053 | − | 0.407840i | \(-0.866282\pi\) |
0.990970 | − | 0.134083i | \(-0.0428088\pi\) | |||||||
\(272\) | 13.8337 | − | 8.89037i | 0.838790 | − | 0.539058i | ||||
\(273\) | −8.74432 | + | 5.61964i | −0.529231 | + | 0.340116i | ||||
\(274\) | −0.0841358 | − | 0.585177i | −0.00508283 | − | 0.0353519i | ||||
\(275\) | 0.305237 | − | 3.30255i | 0.0184065 | − | 0.199151i | ||||
\(276\) | 2.92306 | − | 20.3303i | 0.175947 | − | 1.22374i | ||||
\(277\) | −8.84852 | − | 19.3756i | −0.531656 | − | 1.16416i | −0.964835 | − | 0.262856i | \(-0.915335\pi\) |
0.433179 | − | 0.901308i | \(-0.357392\pi\) | |||||||
\(278\) | −0.310163 | − | 0.199330i | −0.0186023 | − | 0.0119550i | ||||
\(279\) | −22.7716 | + | 14.6344i | −1.36330 | + | 0.876141i | ||||
\(280\) | 0.0732511 | − | 0.160397i | 0.00437759 | − | 0.00958558i | ||||
\(281\) | −2.56865 | − | 1.65077i | −0.153233 | − | 0.0984767i | 0.461778 | − | 0.886996i | \(-0.347212\pi\) |
−0.615010 | + | 0.788519i | \(0.710848\pi\) | |||||||
\(282\) | 0.822606 | 0.0489855 | ||||||||
\(283\) | 11.9097 | + | 3.49701i | 0.707960 | + | 0.207876i | 0.615839 | − | 0.787872i | \(-0.288817\pi\) |
0.0921212 | + | 0.995748i | \(0.470635\pi\) | |||||||
\(284\) | 19.8049 | − | 22.8561i | 1.17520 | − | 1.35626i | ||||
\(285\) | 2.95340 | + | 3.40841i | 0.174945 | + | 0.201897i | ||||
\(286\) | 0.180296 | + | 0.347132i | 0.0106611 | + | 0.0205264i | ||||
\(287\) | 2.56852 | − | 2.96423i | 0.151615 | − | 0.174973i | ||||
\(288\) | −0.298672 | − | 2.07731i | −0.0175994 | − | 0.122407i | ||||
\(289\) | 0.0276460 | − | 0.00811761i | 0.00162624 | − | 0.000477506i | ||||
\(290\) | 0.156758 | + | 0.343251i | 0.00920513 | + | 0.0201564i | ||||
\(291\) | −12.5300 | − | 14.4604i | −0.734523 | − | 0.847685i | ||||
\(292\) | 2.37305 | − | 16.5049i | 0.138872 | − | 0.965877i | ||||
\(293\) | −2.19895 | − | 15.2940i | −0.128464 | − | 0.893487i | −0.947502 | − | 0.319749i | \(-0.896402\pi\) |
0.819038 | − | 0.573739i | \(-0.194508\pi\) | |||||||
\(294\) | −0.240459 | − | 0.526532i | −0.0140239 | − | 0.0307080i | ||||
\(295\) | 0.416063 | − | 0.911050i | 0.0242241 | − | 0.0530434i | ||||
\(296\) | 1.07720 | + | 0.316295i | 0.0626110 | + | 0.0183843i | ||||
\(297\) | 15.1973 | + | 3.63799i | 0.881836 | + | 0.211097i | ||||
\(298\) | 0.607743 | − | 0.178450i | 0.0352056 | − | 0.0103373i | ||||
\(299\) | 1.66854 | − | 11.6050i | 0.0964944 | − | 0.671133i | ||||
\(300\) | −2.30358 | + | 5.04414i | −0.132997 | + | 0.291224i | ||||
\(301\) | 5.78474 | − | 1.69855i | 0.333427 | − | 0.0979030i | ||||
\(302\) | 0.0351387 | − | 0.0103176i | 0.00202200 | − | 0.000593713i | ||||
\(303\) | 51.8617 | − | 15.2280i | 2.97938 | − | 0.874824i | ||||
\(304\) | −6.22555 | + | 1.82799i | −0.357060 | + | 0.104842i | ||||
\(305\) | −1.80772 | + | 3.95836i | −0.103510 | + | 0.226655i | ||||
\(306\) | −0.102629 | + | 0.713803i | −0.00586693 | + | 0.0408054i | ||||
\(307\) | 20.2284 | − | 5.93958i | 1.15449 | − | 0.338990i | 0.352203 | − | 0.935924i | \(-0.385433\pi\) |
0.802291 | + | 0.596934i | \(0.203614\pi\) | |||||||
\(308\) | −7.40598 | + | 2.58845i | −0.421995 | + | 0.147490i | ||||
\(309\) | 19.5776 | + | 5.74852i | 1.11373 | + | 0.327022i | ||||
\(310\) | 0.0891786 | − | 0.195274i | 0.00506500 | − | 0.0110908i | ||||
\(311\) | 2.24874 | + | 4.92404i | 0.127514 | + | 0.279217i | 0.962612 | − | 0.270885i | \(-0.0873162\pi\) |
−0.835098 | + | 0.550102i | \(0.814589\pi\) | |||||||
\(312\) | −0.186214 | − | 1.29515i | −0.0105423 | − | 0.0733233i | ||||
\(313\) | 3.13036 | − | 21.7721i | 0.176938 | − | 1.23063i | −0.686858 | − | 0.726791i | \(-0.741011\pi\) |
0.863797 | − | 0.503841i | \(-0.168080\pi\) | |||||||
\(314\) | −0.0532369 | − | 0.0614387i | −0.00300433 | − | 0.00346719i | ||||
\(315\) | −2.30990 | − | 5.05798i | −0.130148 | − | 0.284985i | ||||
\(316\) | 16.5631 | − | 4.86338i | 0.931750 | − | 0.273586i | ||||
\(317\) | −2.92402 | − | 20.3370i | −0.164229 | − | 1.14224i | −0.890551 | − | 0.454884i | \(-0.849681\pi\) |
0.726322 | − | 0.687355i | \(-0.241228\pi\) | |||||||
\(318\) | 0.772670 | − | 0.891709i | 0.0433292 | − | 0.0500045i | ||||
\(319\) | 12.3892 | − | 31.2213i | 0.693664 | − | 1.74806i | ||||
\(320\) | −5.21708 | − | 6.02083i | −0.291644 | − | 0.336575i | ||||
\(321\) | −7.21165 | + | 8.32269i | −0.402515 | + | 0.464527i | ||||
\(322\) | −0.156722 | − | 0.0460177i | −0.00873378 | − | 0.00256447i | ||||
\(323\) | 6.69633 | 0.372594 | ||||||||
\(324\) | 1.71804 | + | 1.10412i | 0.0954467 | + | 0.0613399i | ||||
\(325\) | −1.31493 | + | 2.87930i | −0.0729394 | + | 0.159715i | ||||
\(326\) | −0.498538 | + | 0.320391i | −0.0276115 | + | 0.0177448i | ||||
\(327\) | −23.6860 | − | 15.2221i | −1.30984 | − | 0.841783i | ||||
\(328\) | 0.205107 | + | 0.449121i | 0.0113251 | + | 0.0247986i | ||||
\(329\) | −1.34028 | + | 9.32184i | −0.0738919 | + | 0.513930i | ||||
\(330\) | −0.323669 | + | 0.113125i | −0.0178174 | + | 0.00622732i | ||||
\(331\) | −3.14753 | − | 21.8915i | −0.173004 | − | 1.20327i | −0.872494 | − | 0.488626i | \(-0.837498\pi\) |
0.699490 | − | 0.714643i | \(-0.253411\pi\) | |||||||
\(332\) | −10.2540 | + | 6.58982i | −0.562759 | + | 0.361664i | ||||
\(333\) | 29.7825 | − | 19.1401i | 1.63207 | − | 1.04887i | ||||
\(334\) | 0.0694322 | − | 0.482912i | 0.00379916 | − | 0.0264238i | ||||
\(335\) | −0.504807 | + | 0.324420i | −0.0275805 | + | 0.0177249i | ||||
\(336\) | 13.1079 | 0.715094 | ||||||||
\(337\) | −16.9703 | − | 19.5847i | −0.924430 | − | 1.06685i | −0.997580 | − | 0.0695276i | \(-0.977851\pi\) |
0.0731505 | − | 0.997321i | \(-0.476695\pi\) | |||||||
\(338\) | 0.0158047 | + | 0.109924i | 0.000859663 | + | 0.00597909i | ||||
\(339\) | −15.3730 | − | 17.7413i | −0.834944 | − | 0.963577i | ||||
\(340\) | 3.42032 | + | 7.48946i | 0.185493 | + | 0.406173i | ||||
\(341\) | −18.0389 | + | 6.30473i | −0.976861 | + | 0.341421i | ||||
\(342\) | 0.118203 | − | 0.258828i | 0.00639168 | − | 0.0139958i | ||||
\(343\) | 14.3077 | − | 4.20112i | 0.772543 | − | 0.226839i | ||||
\(344\) | −0.108008 | + | 0.751211i | −0.00582340 | + | 0.0405026i | ||||
\(345\) | 9.86054 | + | 2.89532i | 0.530874 | + | 0.155879i | ||||
\(346\) | 0.0896480 | + | 0.623516i | 0.00481951 | + | 0.0335204i | ||||
\(347\) | −4.54437 | − | 9.95078i | −0.243954 | − | 0.534186i | 0.747558 | − | 0.664196i | \(-0.231226\pi\) |
−0.991513 | + | 0.130011i | \(0.958499\pi\) | |||||||
\(348\) | −36.7772 | + | 42.4432i | −1.97147 | + | 2.27519i | ||||
\(349\) | −3.93366 | + | 4.53969i | −0.210564 | + | 0.243004i | −0.851201 | − | 0.524840i | \(-0.824125\pi\) |
0.640637 | + | 0.767844i | \(0.278671\pi\) | |||||||
\(350\) | 0.0370979 | + | 0.0238414i | 0.00198297 | + | 0.00127438i | ||||
\(351\) | −12.5464 | − | 8.06306i | −0.669676 | − | 0.430375i | ||||
\(352\) | 0.136350 | − | 1.47525i | 0.00726747 | − | 0.0786313i | ||||
\(353\) | −6.98782 | + | 4.49080i | −0.371924 | + | 0.239021i | −0.713228 | − | 0.700932i | \(-0.752768\pi\) |
0.341304 | + | 0.939953i | \(0.389131\pi\) | |||||||
\(354\) | −0.103540 | −0.00550309 | ||||||||
\(355\) | 9.90933 | + | 11.4360i | 0.525932 | + | 0.606958i | ||||
\(356\) | 5.11741 | − | 11.2056i | 0.271222 | − | 0.593893i | ||||
\(357\) | −12.9800 | − | 3.81128i | −0.686976 | − | 0.201714i | ||||
\(358\) | 0.346240 | − | 0.399582i | 0.0182993 | − | 0.0211186i | ||||
\(359\) | 22.4827 | + | 14.4488i | 1.18659 | + | 0.762576i | 0.976587 | − | 0.215124i | \(-0.0690157\pi\) |
0.210005 | + | 0.977700i | \(0.432652\pi\) | |||||||
\(360\) | 0.699962 | 0.0368912 | ||||||||
\(361\) | 15.6952 | + | 4.60853i | 0.826064 | + | 0.242554i | ||||
\(362\) | −0.180823 | −0.00950382 | ||||||||
\(363\) | 27.2118 | + | 13.8201i | 1.42825 | + | 0.725367i | ||||
\(364\) | 7.48746 | 0.392450 | ||||||||
\(365\) | 8.00516 | + | 2.35053i | 0.419009 | + | 0.123032i | ||||
\(366\) | 0.449864 | 0.0235148 | ||||||||
\(367\) | 7.22181 | + | 4.64118i | 0.376975 | + | 0.242267i | 0.715383 | − | 0.698732i | \(-0.246252\pi\) |
−0.338408 | + | 0.940999i | \(0.609888\pi\) | |||||||
\(368\) | −9.68210 | + | 11.1737i | −0.504714 | + | 0.582471i | ||||
\(369\) | 14.9389 | + | 4.38646i | 0.777689 | + | 0.228350i | ||||
\(370\) | −0.116635 | + | 0.255394i | −0.00606355 | + | 0.0132773i | ||||
\(371\) | 8.84600 | + | 10.2088i | 0.459262 | + | 0.530016i | ||||
\(372\) | 31.9493 | 1.65650 | ||||||||
\(373\) | 2.25408 | − | 1.44861i | 0.116712 | − | 0.0750062i | −0.480982 | − | 0.876730i | \(-0.659720\pi\) |
0.597694 | + | 0.801724i | \(0.296084\pi\) | |||||||
\(374\) | −0.187772 | + | 0.473191i | −0.00970945 | + | 0.0244681i | ||||
\(375\) | −2.33410 | − | 1.50004i | −0.120533 | − | 0.0774616i | ||||
\(376\) | −0.997321 | − | 0.640939i | −0.0514329 | − | 0.0330539i | ||||
\(377\) | −20.9932 | + | 24.2275i | −1.08121 | + | 1.24778i | ||||
\(378\) | −0.136063 | + | 0.157025i | −0.00699834 | + | 0.00807652i | ||||
\(379\) | 5.42361 | + | 11.8761i | 0.278592 | + | 0.610032i | 0.996265 | − | 0.0863487i | \(-0.0275199\pi\) |
−0.717673 | + | 0.696380i | \(0.754793\pi\) | |||||||
\(380\) | −0.462338 | − | 3.21563i | −0.0237174 | − | 0.164958i | ||||
\(381\) | −49.1313 | − | 14.4262i | −2.51707 | − | 0.739079i | ||||
\(382\) | −0.0783676 | + | 0.545059i | −0.00400964 | + | 0.0278876i | ||||
\(383\) | 2.44407 | − | 0.717643i | 0.124886 | − | 0.0366699i | −0.218692 | − | 0.975794i | \(-0.570179\pi\) |
0.343578 | + | 0.939124i | \(0.388361\pi\) | |||||||
\(384\) | −1.37186 | + | 3.00395i | −0.0700074 | + | 0.153295i | ||||
\(385\) | −0.754584 | − | 3.85216i | −0.0384571 | − | 0.196324i | ||||
\(386\) | 0.0605314 | + | 0.132545i | 0.00308096 | + | 0.00674637i | ||||
\(387\) | 15.6723 | + | 18.0868i | 0.796670 | + | 0.919406i | ||||
\(388\) | 1.96150 | + | 13.6425i | 0.0995801 | + | 0.692595i | ||||
\(389\) | −17.1176 | − | 19.7547i | −0.867895 | − | 1.00160i | −0.999946 | − | 0.0103611i | \(-0.996702\pi\) |
0.132052 | − | 0.991243i | \(-0.457844\pi\) | |||||||
\(390\) | 0.327230 | 0.0165699 | ||||||||
\(391\) | 12.8366 | − | 8.24956i | 0.649173 | − | 0.417198i | ||||
\(392\) | −0.118720 | + | 0.825719i | −0.00599629 | + | 0.0417051i | ||||
\(393\) | −35.3263 | + | 22.7029i | −1.78198 | + | 1.14521i | ||||
\(394\) | 0.0986820 | − | 0.0634191i | 0.00497153 | − | 0.00319501i | ||||
\(395\) | 1.22920 | + | 8.54928i | 0.0618478 | + | 0.430161i | ||||
\(396\) | −21.5591 | − | 22.4734i | −1.08338 | − | 1.12933i | ||||
\(397\) | 4.67347 | − | 32.5047i | 0.234555 | − | 1.63136i | −0.443445 | − | 0.896301i | \(-0.646244\pi\) |
0.678000 | − | 0.735062i | \(-0.262847\pi\) | |||||||
\(398\) | −0.0936141 | − | 0.204986i | −0.00469245 | − | 0.0102750i | ||||
\(399\) | 4.49040 | + | 2.88581i | 0.224801 | + | 0.144471i | ||||
\(400\) | 3.35801 | − | 2.15806i | 0.167900 | − | 0.107903i | ||||
\(401\) | −1.67984 | + | 3.67833i | −0.0838871 | + | 0.183687i | −0.946927 | − | 0.321449i | \(-0.895830\pi\) |
0.863040 | + | 0.505136i | \(0.168558\pi\) | |||||||
\(402\) | 0.0521863 | + | 0.0335381i | 0.00260282 | + | 0.00167273i | ||||
\(403\) | 18.2374 | 0.908468 | ||||||||
\(404\) | −37.3578 | − | 10.9693i | −1.85862 | − | 0.545741i | ||||
\(405\) | −0.669156 | + | 0.772247i | −0.0332506 | + | 0.0383732i | ||||
\(406\) | 0.292469 | + | 0.337527i | 0.0145150 | + | 0.0167512i | ||||
\(407\) | 23.5927 | − | 8.24582i | 1.16945 | − | 0.408730i | ||||
\(408\) | 1.11518 | − | 1.28699i | 0.0552097 | − | 0.0637154i | ||||
\(409\) | −3.39035 | − | 23.5804i | −0.167642 | − | 1.16598i | −0.883741 | − | 0.467976i | \(-0.844983\pi\) |
0.716099 | − | 0.697999i | \(-0.245926\pi\) | |||||||
\(410\) | −0.118476 | + | 0.0347877i | −0.00585111 | + | 0.00171804i | ||||
\(411\) | 18.2881 | + | 40.0453i | 0.902084 | + | 1.97529i | ||||
\(412\) | −9.62505 | − | 11.1079i | −0.474192 | − | 0.547247i | ||||
\(413\) | 0.168699 | − | 1.17332i | 0.00830111 | − | 0.0577355i | ||||
\(414\) | −0.0922744 | − | 0.641782i | −0.00453504 | − | 0.0315419i | ||||
\(415\) | −2.53349 | − | 5.54756i | −0.124364 | − | 0.272319i | ||||
\(416\) | −0.587383 | + | 1.28619i | −0.0287988 | + | 0.0630606i | ||||
\(417\) | 26.3427 | + | 7.73491i | 1.29001 | + | 0.378780i | ||||
\(418\) | 0.123690 | − | 0.158271i | 0.00604986 | − | 0.00774129i | ||||
\(419\) | 13.3372 | − | 3.91616i | 0.651566 | − | 0.191317i | 0.0607873 | − | 0.998151i | \(-0.480639\pi\) |
0.590779 | + | 0.806834i | \(0.298821\pi\) | |||||||
\(420\) | −0.934020 | + | 6.49625i | −0.0455755 | + | 0.316985i | ||||
\(421\) | −3.44373 | + | 7.54072i | −0.167837 | + | 0.367512i | −0.974797 | − | 0.223094i | \(-0.928384\pi\) |
0.806960 | + | 0.590607i | \(0.201112\pi\) | |||||||
\(422\) | 0.110820 | − | 0.0325396i | 0.00539462 | − | 0.00158400i | ||||
\(423\) | −35.8698 | + | 10.5323i | −1.74405 | + | 0.512099i | ||||
\(424\) | −1.63156 | + | 0.479069i | −0.0792355 | + | 0.0232657i | ||||
\(425\) | −3.95274 | + | 1.16063i | −0.191736 | + | 0.0562987i | ||||
\(426\) | 0.649844 | − | 1.42296i | 0.0314850 | − | 0.0689426i | ||||
\(427\) | −0.732967 | + | 5.09789i | −0.0354707 | + | 0.246704i | ||||
\(428\) | 7.61137 | − | 2.23490i | 0.367909 | − | 0.108028i | ||||
\(429\) | −20.1646 | − | 21.0198i | −0.973555 | − | 1.01485i | ||||
\(430\) | −0.182112 | − | 0.0534728i | −0.00878221 | − | 0.00257869i | ||||
\(431\) | −12.9173 | + | 28.2850i | −0.622205 | + | 1.36244i | 0.291699 | + | 0.956510i | \(0.405779\pi\) |
−0.913904 | + | 0.405930i | \(0.866948\pi\) | |||||||
\(432\) | 7.81280 | + | 17.1076i | 0.375893 | + | 0.823092i | ||||
\(433\) | 2.91405 | + | 20.2677i | 0.140040 | + | 0.974003i | 0.931749 | + | 0.363104i | \(0.118283\pi\) |
−0.791708 | + | 0.610899i | \(0.790808\pi\) | |||||||
\(434\) | 0.0361587 | − | 0.251489i | 0.00173567 | − | 0.0120719i | ||||
\(435\) | −18.4014 | − | 21.2363i | −0.882279 | − | 1.01820i | ||||
\(436\) | 8.42525 | + | 18.4487i | 0.403496 | + | 0.883533i | ||||
\(437\) | −5.77681 | + | 1.69623i | −0.276342 | + | 0.0811415i | ||||
\(438\) | −0.122747 | − | 0.853722i | −0.00586506 | − | 0.0407924i | ||||
\(439\) | −24.2952 | + | 28.0381i | −1.15955 | + | 1.33819i | −0.228388 | + | 0.973570i | \(0.573345\pi\) |
−0.931158 | + | 0.364617i | \(0.881200\pi\) | |||||||
\(440\) | 0.480556 | + | 0.115037i | 0.0229096 | + | 0.00548419i | ||||
\(441\) | 17.2268 | + | 19.8807i | 0.820322 | + | 0.946702i | ||||
\(442\) | 0.318174 | − | 0.367193i | 0.0151340 | − | 0.0174656i | ||||
\(443\) | −10.3704 | − | 3.04502i | −0.492712 | − | 0.144673i | 0.0259315 | − | 0.999664i | \(-0.491745\pi\) |
−0.518644 | + | 0.854990i | \(0.673563\pi\) | |||||||
\(444\) | −41.7858 | −1.98307 | ||||||||
\(445\) | 5.18521 | + | 3.33233i | 0.245802 | + | 0.157968i | ||||
\(446\) | −0.269298 | + | 0.589680i | −0.0127516 | + | 0.0279221i | ||||
\(447\) | −39.6790 | + | 25.5001i | −1.87675 | + | 1.20611i | ||||
\(448\) | −7.93213 | − | 5.09767i | −0.374758 | − | 0.240842i | ||||
\(449\) | −5.96310 | − | 13.0574i | −0.281416 | − | 0.616215i | 0.715154 | − | 0.698967i | \(-0.246356\pi\) |
−0.996570 | + | 0.0827518i | \(0.973629\pi\) | |||||||
\(450\) | −0.0249124 | + | 0.173269i | −0.00117438 | + | 0.00816800i | ||||
\(451\) | 9.53534 | + | 5.46669i | 0.449002 | + | 0.257416i | ||||
\(452\) | 2.40654 | + | 16.7379i | 0.113194 | + | 0.787284i | ||||
\(453\) | −2.29417 | + | 1.47437i | −0.107789 | + | 0.0692720i | ||||
\(454\) | 0.595945 | − | 0.382991i | 0.0279691 | − | 0.0179746i | ||||
\(455\) | −0.533158 | + | 3.70820i | −0.0249949 | + | 0.173843i | ||||
\(456\) | −0.565260 | + | 0.363271i | −0.0264707 | + | 0.0170117i | ||||
\(457\) | 20.3657 | 0.952667 | 0.476333 | − | 0.879265i | \(-0.341966\pi\) | ||||
0.476333 | + | 0.879265i | \(0.341966\pi\) | |||||||
\(458\) | −0.175822 | − | 0.202909i | −0.00821562 | − | 0.00948133i | ||||
\(459\) | −2.76233 | − | 19.2124i | −0.128935 | − | 0.896760i | ||||
\(460\) | −4.84778 | − | 5.59464i | −0.226029 | − | 0.260851i | ||||
\(461\) | −2.93466 | − | 6.42601i | −0.136681 | − | 0.299289i | 0.828898 | − | 0.559400i | \(-0.188968\pi\) |
−0.965579 | + | 0.260111i | \(0.916241\pi\) | |||||||
\(462\) | −0.329839 | + | 0.236390i | −0.0153455 | + | 0.0109979i | ||||
\(463\) | 13.2543 | − | 29.0228i | 0.615979 | − | 1.34880i | −0.302430 | − | 0.953172i | \(-0.597798\pi\) |
0.918409 | − | 0.395633i | \(-0.129475\pi\) | |||||||
\(464\) | 38.7887 | − | 11.3894i | 1.80072 | − | 0.528739i | ||||
\(465\) | −2.27501 | + | 15.8231i | −0.105501 | + | 0.733777i | ||||
\(466\) | 0.0480945 | + | 0.0141218i | 0.00222794 | + | 0.000654181i | ||||
\(467\) | 2.74194 | + | 19.0706i | 0.126882 | + | 0.882482i | 0.949473 | + | 0.313849i | \(0.101619\pi\) |
−0.822591 | + | 0.568633i | \(0.807472\pi\) | |||||||
\(468\) | 12.3469 | + | 27.0360i | 0.570737 | + | 1.24974i | ||||
\(469\) | −0.465084 | + | 0.536736i | −0.0214756 | + | 0.0247842i | ||||
\(470\) | 0.194155 | − | 0.224066i | 0.00895568 | − | 0.0103354i | ||||
\(471\) | 5.09267 | + | 3.27286i | 0.234658 | + | 0.150806i | ||||
\(472\) | 0.125531 | + | 0.0806739i | 0.00577803 | + | 0.00371332i | ||||
\(473\) | 7.78724 | + | 14.9932i | 0.358057 | + | 0.689386i | ||||
\(474\) | 0.751157 | − | 0.482739i | 0.0345018 | − | 0.0221730i | ||||
\(475\) | 1.62548 | 0.0745820 | ||||||||
\(476\) | 6.38143 | + | 7.36456i | 0.292492 | + | 0.337554i | ||||
\(477\) | −22.2753 | + | 48.7760i | −1.01991 | + | 2.23330i | ||||
\(478\) | 0.849390 | + | 0.249403i | 0.0388502 | + | 0.0114074i | ||||
\(479\) | −18.7432 | + | 21.6308i | −0.856397 | + | 0.988335i | −0.999999 | − | 0.00130032i | \(-0.999586\pi\) |
0.143602 | + | 0.989636i | \(0.454132\pi\) | |||||||
\(480\) | −1.04265 | − | 0.670069i | −0.0475901 | − | 0.0305843i | ||||
\(481\) | −23.8522 | −1.08757 | ||||||||
\(482\) | −0.831329 | − | 0.244100i | −0.0378660 | − | 0.0111185i | ||||
\(483\) | 12.1631 | 0.553439 | ||||||||
\(484\) | −11.1078 | − | 18.9722i | −0.504900 | − | 0.862373i | ||||
\(485\) | −6.89620 | −0.313140 | ||||||||
\(486\) | 0.606682 | + | 0.178138i | 0.0275196 | + | 0.00808049i | ||||
\(487\) | −11.2141 | −0.508161 | −0.254081 | − | 0.967183i | \(-0.581773\pi\) | ||||
−0.254081 | + | 0.967183i | \(0.581773\pi\) | |||||||
\(488\) | −0.545411 | − | 0.350514i | −0.0246896 | − | 0.0158670i | ||||
\(489\) | 28.8985 | − | 33.3507i | 1.30684 | − | 1.50817i | ||||
\(490\) | −0.200174 | − | 0.0587764i | −0.00904294 | − | 0.00265525i | ||||
\(491\) | −11.4716 | + | 25.1192i | −0.517705 | + | 1.13362i | 0.452596 | + | 0.891716i | \(0.350498\pi\) |
−0.970301 | + | 0.241900i | \(0.922229\pi\) | |||||||
\(492\) | −12.0343 | − | 13.8883i | −0.542548 | − | 0.626134i | ||||
\(493\) | −41.7219 | −1.87906 | ||||||||
\(494\) | −0.161275 | + | 0.103645i | −0.00725611 | + | 0.00466322i | ||||
\(495\) | 12.6652 | − | 9.07696i | 0.569259 | − | 0.407979i | ||||
\(496\) | −19.3474 | − | 12.4338i | −0.868723 | − | 0.558294i | ||||
\(497\) | 15.0663 | + | 9.68252i | 0.675816 | + | 0.434320i | ||||
\(498\) | −0.412873 | + | 0.476481i | −0.0185013 | + | 0.0213516i | ||||
\(499\) | −1.46563 | + | 1.69143i | −0.0656108 | + | 0.0757189i | −0.787606 | − | 0.616179i | \(-0.788680\pi\) |
0.721995 | + | 0.691898i | \(0.243225\pi\) | |||||||
\(500\) | 0.830253 | + | 1.81800i | 0.0371301 | + | 0.0813035i | ||||
\(501\) | 5.17030 | + | 35.9603i | 0.230992 | + | 1.60659i | ||||
\(502\) | −0.000259876 | 0 | 7.63066e-5i | −1.15988e−5 | 0 | 3.40573e-6i | ||||
\(503\) | 2.36109 | − | 16.4218i | 0.105276 | − | 0.732210i | −0.866989 | − | 0.498327i | \(-0.833948\pi\) |
0.972265 | − | 0.233883i | \(-0.0751432\pi\) | |||||||
\(504\) | 0.794878 | − | 0.233397i | 0.0354067 | − | 0.0103963i | ||||
\(505\) | 8.09271 | − | 17.7206i | 0.360121 | − | 0.788554i | ||||
\(506\) | 0.0421251 | − | 0.455778i | 0.00187269 | − | 0.0202618i | ||||
\(507\) | −3.43537 | − | 7.52241i | −0.152570 | − | 0.334082i | ||||
\(508\) | 24.1546 | + | 27.8759i | 1.07169 | + | 1.23679i | ||||
\(509\) | −0.943491 | − | 6.56213i | −0.0418195 | − | 0.290861i | −0.999989 | − | 0.00466022i | \(-0.998517\pi\) |
0.958170 | − | 0.286201i | \(-0.0923925\pi\) | |||||||
\(510\) | 0.278892 | + | 0.321859i | 0.0123496 | + | 0.0142521i | ||||
\(511\) | 9.87444 | 0.436820 | ||||||||
\(512\) | 2.50062 | − | 1.60705i | 0.110513 | − | 0.0710224i | ||||
\(513\) | −1.08993 | + | 7.58066i | −0.0481218 | + | 0.334694i | ||||
\(514\) | −0.0681226 | + | 0.0437798i | −0.00300476 | + | 0.00193104i | ||||
\(515\) | 6.18660 | − | 3.97589i | 0.272614 | − | 0.175199i | ||||
\(516\) | −4.02003 | − | 27.9600i | −0.176972 | − | 1.23087i | ||||
\(517\) | −26.3572 | + | 1.33579i | −1.15919 | + | 0.0587479i | ||||
\(518\) | −0.0472912 | + | 0.328917i | −0.00207786 | + | 0.0144518i | ||||
\(519\) | −19.4862 | − | 42.6689i | −0.855350 | − | 1.87296i | ||||
\(520\) | −0.396731 | − | 0.254963i | −0.0173978 | − | 0.0111809i | ||||
\(521\) | −30.8319 | + | 19.8144i | −1.35077 | + | 0.868087i | −0.997718 | − | 0.0675172i | \(-0.978492\pi\) |
−0.353051 | + | 0.935604i | \(0.614856\pi\) | |||||||
\(522\) | −0.736471 | + | 1.61265i | −0.0322345 | + | 0.0705836i | ||||
\(523\) | −0.797346 | − | 0.512423i | −0.0348655 | − | 0.0224067i | 0.523092 | − | 0.852276i | \(-0.324778\pi\) |
−0.557957 | + | 0.829870i | \(0.688415\pi\) | |||||||
\(524\) | 30.2487 | 1.32142 | ||||||||
\(525\) | −3.15079 | − | 0.925155i | −0.137512 | − | 0.0403771i | ||||
\(526\) | −0.315976 | + | 0.364655i | −0.0137772 | + | 0.0158997i | ||||
\(527\) | 15.5434 | + | 17.9380i | 0.677080 | + | 0.781392i | ||||
\(528\) | 7.06108 | + | 36.0469i | 0.307294 | + | 1.56874i | ||||
\(529\) | 6.07758 | − | 7.01390i | 0.264243 | − | 0.304952i | ||||
\(530\) | −0.0605204 | − | 0.420929i | −0.00262884 | − | 0.0182840i | ||||
\(531\) | 4.51487 | − | 1.32569i | 0.195929 | − | 0.0575299i | ||||
\(532\) | −1.59726 | − | 3.49751i | −0.0692500 | − | 0.151636i | ||||
\(533\) | −6.86943 | − | 7.92775i | −0.297548 | − | 0.343389i | ||||
\(534\) | 0.0906820 | − | 0.630707i | 0.00392419 | − | 0.0272934i | ||||
\(535\) | 0.564863 | + | 3.92871i | 0.0244211 | + | 0.169853i | ||||
\(536\) | −0.0371388 | − | 0.0813226i | −0.00160415 | − | 0.00351260i | ||||
\(537\) | −16.3555 | + | 35.8136i | −0.705794 | + | 1.54547i | ||||
\(538\) | −0.995991 | − | 0.292449i | −0.0429402 | − | 0.0126084i | ||||
\(539\) | 8.55960 | + | 16.4802i | 0.368688 | + | 0.709853i | ||||
\(540\) | −9.03524 | + | 2.65299i | −0.388815 | + | 0.114166i | ||||
\(541\) | −3.17500 | + | 22.0826i | −0.136504 | + | 0.949405i | 0.800312 | + | 0.599583i | \(0.204667\pi\) |
−0.936816 | + | 0.349822i | \(0.886242\pi\) | |||||||
\(542\) | −0.139504 | + | 0.305470i | −0.00599219 | + | 0.0131211i | ||||
\(543\) | 12.9196 | − | 3.79354i | 0.554434 | − | 0.162796i | ||||
\(544\) | −1.76569 | + | 0.518454i | −0.0757035 | + | 0.0222285i | ||||
\(545\) | −9.73675 | + | 2.85897i | −0.417076 | + | 0.122465i | ||||
\(546\) | 0.371603 | − | 0.109113i | 0.0159031 | − | 0.00466958i | ||||
\(547\) | −3.21501 | + | 7.03988i | −0.137464 | + | 0.301004i | −0.965827 | − | 0.259188i | \(-0.916545\pi\) |
0.828363 | + | 0.560191i | \(0.189272\pi\) | |||||||
\(548\) | 4.51306 | − | 31.3890i | 0.192788 | − | 1.34087i | ||||
\(549\) | −19.6164 | + | 5.75988i | −0.837206 | + | 0.245826i | ||||
\(550\) | −0.0455800 | + | 0.114863i | −0.00194354 | + | 0.00489778i | ||||
\(551\) | 15.7954 | + | 4.63795i | 0.672907 | + | 0.197583i | ||||
\(552\) | −0.636046 | + | 1.39275i | −0.0270719 | + | 0.0592792i | ||||
\(553\) | 4.24658 | + | 9.29871i | 0.180583 | + | 0.395421i | ||||
\(554\) | 0.112948 | + | 0.785568i | 0.00479868 | + | 0.0333756i | ||||
\(555\) | 2.97544 | − | 20.6946i | 0.126300 | − | 0.878438i | ||||
\(556\) | −12.9510 | − | 14.9462i | −0.549243 | − | 0.633861i | ||||
\(557\) | −4.36506 | − | 9.55814i | −0.184953 | − | 0.404992i | 0.794330 | − | 0.607487i | \(-0.207822\pi\) |
−0.979283 | + | 0.202495i | \(0.935095\pi\) | |||||||
\(558\) | 0.967714 | − | 0.284147i | 0.0409666 | − | 0.0120289i | ||||
\(559\) | −2.29472 | − | 15.9601i | −0.0970563 | − | 0.675042i | ||||
\(560\) | 3.09377 | − | 3.57040i | 0.130736 | − | 0.150877i | ||||
\(561\) | 3.48888 | − | 37.7484i | 0.147301 | − | 1.59374i | ||||
\(562\) | 0.0745015 | + | 0.0859793i | 0.00314266 | + | 0.00362682i | ||||
\(563\) | 25.8707 | − | 29.8563i | 1.09032 | − | 1.25829i | 0.126433 | − | 0.991975i | \(-0.459647\pi\) |
0.963885 | − | 0.266319i | \(-0.0858074\pi\) | |||||||
\(564\) | 42.3374 | + | 12.4314i | 1.78272 | + | 0.523455i | ||||
\(565\) | −8.46088 | −0.355952 | ||||||||
\(566\) | −0.389068 | − | 0.250039i | −0.0163537 | − | 0.0105099i | ||||
\(567\) | −0.502394 | + | 1.10009i | −0.0210986 | + | 0.0461994i | ||||
\(568\) | −1.89657 | + | 1.21885i | −0.0795784 | + | 0.0511420i | ||||
\(569\) | −4.91685 | − | 3.15987i | −0.206125 | − | 0.132469i | 0.433506 | − | 0.901151i | \(-0.357276\pi\) |
−0.639631 | + | 0.768682i | \(0.720913\pi\) | |||||||
\(570\) | −0.0698063 | − | 0.152854i | −0.00292386 | − | 0.00640237i | ||||
\(571\) | 3.44498 | − | 23.9604i | 0.144168 | − | 1.00271i | −0.781374 | − | 0.624064i | \(-0.785481\pi\) |
0.925541 | − | 0.378646i | \(-0.123610\pi\) | |||||||
\(572\) | 4.03342 | + | 20.5907i | 0.168646 | + | 0.860939i | ||||
\(573\) | −5.83568 | − | 40.5881i | −0.243789 | − | 1.69559i | ||||
\(574\) | −0.122942 | + | 0.0790099i | −0.00513149 | + | 0.00329781i | ||||
\(575\) | 3.11597 | − | 2.00251i | 0.129945 | − | 0.0835104i | ||||
\(576\) | 5.32667 | − | 37.0478i | 0.221945 | − | 1.54366i | ||||
\(577\) | −8.14357 | + | 5.23355i | −0.339021 | + | 0.217876i | −0.699062 | − | 0.715061i | \(-0.746399\pi\) |
0.360041 | + | 0.932936i | \(0.382763\pi\) | |||||||
\(578\) | −0.00107357 | −4.46545e−5 | ||||||||
\(579\) | −7.10562 | − | 8.20033i | −0.295300 | − | 0.340794i | ||||
\(580\) | 2.88063 | + | 20.0352i | 0.119611 | + | 0.831916i | ||||
\(581\) | −4.72683 | − | 5.45505i | −0.196102 | − | 0.226314i | ||||
\(582\) | 0.296158 | + | 0.648495i | 0.0122761 | + | 0.0268810i | ||||
\(583\) | −23.3092 | + | 29.8261i | −0.965369 | + | 1.23527i | ||||
\(584\) | −0.516366 | + | 1.13068i | −0.0213674 | + | 0.0467880i | ||||
\(585\) | −14.2689 | + | 4.18973i | −0.589946 | + | 0.173224i | ||||
\(586\) | −0.0819320 | + | 0.569850i | −0.00338458 | + | 0.0235403i | ||||
\(587\) | −4.46126 | − | 1.30994i | −0.184136 | − | 0.0540672i | 0.188365 | − | 0.982099i | \(-0.439681\pi\) |
−0.372500 | + | 0.928032i | \(0.621500\pi\) | |||||||
\(588\) | −4.41875 | − | 30.7331i | −0.182226 | − | 1.26741i | ||||
\(589\) | −3.89048 | − | 8.51896i | −0.160304 | − | 0.351018i | ||||
\(590\) | −0.0244379 | + | 0.0282028i | −0.00100609 | + | 0.00116109i | ||||
\(591\) | −5.72025 | + | 6.60152i | −0.235300 | + | 0.271550i | ||||
\(592\) | 25.3040 | + | 16.2619i | 1.03999 | + | 0.668360i | ||||
\(593\) | −9.90178 | − | 6.36349i | −0.406617 | − | 0.261317i | 0.321306 | − | 0.946975i | \(-0.395878\pi\) |
−0.727924 | + | 0.685658i | \(0.759514\pi\) | |||||||
\(594\) | −0.505119 | − | 0.289589i | −0.0207253 | − | 0.0118820i | ||||
\(595\) | −4.10173 | + | 2.63602i | −0.168155 | + | 0.108066i | ||||
\(596\) | 33.9757 | 1.39170 | ||||||||
\(597\) | 10.9891 | + | 12.6821i | 0.449755 | + | 0.519045i | ||||
\(598\) | −0.181471 | + | 0.397367i | −0.00742091 | + | 0.0162495i | ||||
\(599\) | −20.4783 | − | 6.01297i | −0.836721 | − | 0.245683i | −0.164819 | − | 0.986324i | \(-0.552704\pi\) |
−0.671902 | + | 0.740640i | \(0.734522\pi\) | |||||||
\(600\) | 0.270701 | − | 0.312405i | 0.0110513 | − | 0.0127539i | ||||
\(601\) | −27.4899 | − | 17.6667i | −1.12134 | − | 0.720638i | −0.157601 | − | 0.987503i | \(-0.550376\pi\) |
−0.963734 | + | 0.266864i | \(0.914012\pi\) | |||||||
\(602\) | −0.224637 | −0.00915550 | ||||||||
\(603\) | −2.70500 | − | 0.794259i | −0.110156 | − | 0.0323447i | ||||
\(604\) | 1.96442 | 0.0799310 | ||||||||
\(605\) | 10.1870 | − | 4.15024i | 0.414162 | − | 0.168731i | ||||
\(606\) | −2.01392 | −0.0818101 | ||||||||
\(607\) | 45.0874 | + | 13.2388i | 1.83004 | + | 0.537348i | 0.999799 | − | 0.0200572i | \(-0.00638482\pi\) |
0.830241 | + | 0.557405i | \(0.188203\pi\) | |||||||
\(608\) | 0.726103 | 0.0294474 | ||||||||
\(609\) | −27.9778 | − | 17.9802i | −1.13372 | − | 0.728595i | ||||
\(610\) | 0.106179 | − | 0.122537i | 0.00429904 | − | 0.00496136i | ||||
\(611\) | 24.1671 | + | 7.09609i | 0.977695 | + | 0.287077i | ||||
\(612\) | −16.0692 | + | 35.1866i | −0.649558 | + | 1.42233i | ||||
\(613\) | 3.43022 | + | 3.95868i | 0.138545 | + | 0.159890i | 0.820782 | − | 0.571242i | \(-0.193538\pi\) |
−0.682237 | + | 0.731131i | \(0.738993\pi\) | |||||||
\(614\) | −0.785520 | −0.0317010 | ||||||||
\(615\) | 7.73518 | − | 4.97110i | 0.311913 | − | 0.200454i | ||||
\(616\) | 0.584078 | − | 0.0296012i | 0.0235332 | − | 0.00119267i | ||||
\(617\) | 6.80479 | + | 4.37317i | 0.273951 | + | 0.176057i | 0.670401 | − | 0.741999i | \(-0.266122\pi\) |
−0.396451 | + | 0.918056i | \(0.629758\pi\) | |||||||
\(618\) | −0.639564 | − | 0.411023i | −0.0257270 | − | 0.0165338i | ||||
\(619\) | 28.9158 | − | 33.3706i | 1.16222 | − | 1.34128i | 0.232686 | − | 0.972552i | \(-0.425248\pi\) |
0.929538 | − | 0.368726i | \(-0.120206\pi\) | |||||||
\(620\) | 7.54080 | − | 8.70255i | 0.302846 | − | 0.349503i | ||||
\(621\) | 7.24966 | + | 15.8745i | 0.290919 | + | 0.637023i | ||||
\(622\) | −0.0287041 | − | 0.199642i | −0.00115093 | − | 0.00800490i | ||||
\(623\) | 6.99948 | + | 2.05523i | 0.280428 | + | 0.0823411i | ||||
\(624\) | 4.98907 | − | 34.6998i | 0.199723 | − | 1.38910i | ||||
\(625\) | −0.959493 | + | 0.281733i | −0.0383797 | + | 0.0112693i | ||||
\(626\) | −0.340458 | + | 0.745500i | −0.0136075 | + | 0.0297962i | ||||
\(627\) | −5.51709 | + | 13.9032i | −0.220331 | + | 0.555242i | ||||
\(628\) | −1.81149 | − | 3.96661i | −0.0722864 | − | 0.158285i | ||||
\(629\) | −20.3288 | − | 23.4607i | −0.810564 | − | 0.935441i | ||||
\(630\) | 0.0294849 | + | 0.205072i | 0.00117471 | + | 0.00817027i | ||||
\(631\) | 15.5085 | + | 17.8978i | 0.617385 | + | 0.712501i | 0.975208 | − | 0.221289i | \(-0.0710263\pi\) |
−0.357823 | + | 0.933789i | \(0.616481\pi\) | |||||||
\(632\) | −1.28683 | −0.0511872 | ||||||||
\(633\) | −7.23531 | + | 4.64985i | −0.287578 | + | 0.184815i | ||||
\(634\) | −0.108948 | + | 0.757748i | −0.00432687 | + | 0.0300940i | ||||
\(635\) | −15.5257 | + | 9.97773i | −0.616117 | + | 0.395954i | ||||
\(636\) | 53.2430 | − | 34.2172i | 2.11122 | − | 1.35680i | ||||
\(637\) | −2.52232 | − | 17.5431i | −0.0999378 | − | 0.695083i | ||||
\(638\) | −0.770656 | + | 0.986118i | −0.0305106 | + | 0.0390408i | ||||
\(639\) | −10.1175 | + | 70.3686i | −0.400241 | + | 2.78374i | ||||
\(640\) | 0.494443 | + | 1.08268i | 0.0195446 | + | 0.0427967i | ||||
\(641\) | 8.30053 | + | 5.33443i | 0.327851 | + | 0.210697i | 0.694203 | − | 0.719779i | \(-0.255757\pi\) |
−0.366352 | + | 0.930476i | \(0.619393\pi\) | |||||||
\(642\) | 0.345184 | − | 0.221836i | 0.0136233 | − | 0.00875519i | ||||
\(643\) | −18.8091 | + | 41.1861i | −0.741758 | + | 1.62422i | 0.0388835 | + | 0.999244i | \(0.487620\pi\) |
−0.780641 | + | 0.624979i | \(0.785107\pi\) | |||||||
\(644\) | −7.37064 | − | 4.73683i | −0.290444 | − | 0.186657i | ||||
\(645\) | 14.1335 | 0.556508 | ||||||||
\(646\) | −0.239396 | − | 0.0702930i | −0.00941891 | − | 0.00276564i | ||||
\(647\) | 28.3928 | − | 32.7670i | 1.11624 | − | 1.28820i | 0.162783 | − | 0.986662i | \(-0.447953\pi\) |
0.953453 | − | 0.301543i | \(-0.0975017\pi\) | |||||||
\(648\) | −0.0996953 | − | 0.115054i | −0.00391640 | − | 0.00451977i | ||||
\(649\) | 3.31754 | − | 0.168133i | 0.130225 | − | 0.00659981i | ||||
\(650\) | 0.0772341 | − | 0.0891329i | 0.00302937 | − | 0.00349608i | ||||
\(651\) | 2.69258 | + | 18.7273i | 0.105530 | + | 0.733980i | ||||
\(652\) | −30.5003 | + | 8.95569i | −1.19448 | + | 0.350732i | ||||
\(653\) | −17.6296 | − | 38.6034i | −0.689899 | − | 1.51067i | −0.851803 | − | 0.523862i | \(-0.824491\pi\) |
0.161904 | − | 0.986807i | \(-0.448237\pi\) | |||||||
\(654\) | 0.686993 | + | 0.792832i | 0.0268636 | + | 0.0310022i | ||||
\(655\) | −2.15392 | + | 14.9808i | −0.0841604 | + | 0.585349i | ||||
\(656\) | 1.88259 | + | 13.0937i | 0.0735027 | + | 0.511223i | ||||
\(657\) | 16.2831 | + | 35.6550i | 0.635265 | + | 1.39104i | ||||
\(658\) | 0.145769 | − | 0.319190i | 0.00568267 | − | 0.0124433i | ||||
\(659\) | −23.8186 | − | 6.99376i | −0.927839 | − | 0.272438i | −0.217307 | − | 0.976103i | \(-0.569727\pi\) |
−0.710532 | + | 0.703665i | \(0.751546\pi\) | |||||||
\(660\) | −18.3680 | + | 0.930891i | −0.714972 | + | 0.0362349i | ||||
\(661\) | −24.8488 | + | 7.29625i | −0.966505 | + | 0.283791i | −0.726643 | − | 0.687016i | \(-0.758920\pi\) |
−0.239862 | + | 0.970807i | \(0.577102\pi\) | |||||||
\(662\) | −0.117276 | + | 0.815670i | −0.00455805 | + | 0.0317019i | ||||
\(663\) | −15.0298 | + | 32.9107i | −0.583709 | + | 1.27814i | ||||
\(664\) | 0.871818 | − | 0.255989i | 0.0338331 | − | 0.00993429i | ||||
\(665\) | 1.84590 | − | 0.542004i | 0.0715807 | − | 0.0210180i | ||||
\(666\) | −1.26565 | + | 0.371629i | −0.0490430 | + | 0.0144003i | ||||
\(667\) | 35.9928 | − | 10.5684i | 1.39365 | − | 0.409212i | ||||
\(668\) | 10.8713 | − | 23.8049i | 0.420625 | − | 0.921040i | ||||
\(669\) | 6.86998 | − | 47.7818i | 0.265609 | − | 1.84735i | ||||
\(670\) | 0.0214525 | − | 0.00629903i | 0.000828783 | − | 0.000243353i | ||||
\(671\) | −14.4141 | + | 0.730511i | −0.556452 | + | 0.0282011i | ||||
\(672\) | −1.40746 | − | 0.413268i | −0.0542940 | − | 0.0159422i | ||||
\(673\) | −18.6007 | + | 40.7299i | −0.717005 | + | 1.57002i | 0.101049 | + | 0.994881i | \(0.467780\pi\) |
−0.818054 | + | 0.575141i | \(0.804947\pi\) | |||||||
\(674\) | 0.401107 | + | 0.878302i | 0.0154501 | + | 0.0338309i | ||||
\(675\) | −0.670532 | − | 4.66366i | −0.0258088 | − | 0.179504i | ||||
\(676\) | −0.847767 | + | 5.89635i | −0.0326064 | + | 0.226783i | ||||
\(677\) | −1.50689 | − | 1.73904i | −0.0579144 | − | 0.0668368i | 0.726053 | − | 0.687639i | \(-0.241353\pi\) |
−0.783968 | + | 0.620802i | \(0.786807\pi\) | |||||||
\(678\) | 0.363353 | + | 0.795632i | 0.0139545 | + | 0.0305561i | ||||
\(679\) | −7.83134 | + | 2.29949i | −0.300539 | + | 0.0882462i | ||||
\(680\) | −0.0873482 | − | 0.607520i | −0.00334965 | − | 0.0232973i | ||||
\(681\) | −34.5448 | + | 39.8669i | −1.32376 | + | 1.52770i | ||||
\(682\) | 0.711079 | − | 0.0360376i | 0.0272286 | − | 0.00137995i | ||||
\(683\) | −21.0435 | − | 24.2855i | −0.805207 | − | 0.929259i | 0.193447 | − | 0.981111i | \(-0.438033\pi\) |
−0.998655 | + | 0.0518517i | \(0.983488\pi\) | |||||||
\(684\) | 9.99505 | − | 11.5349i | 0.382170 | − | 0.441048i | ||||
\(685\) | 15.2242 | + | 4.47023i | 0.581686 | + | 0.170799i | ||||
\(686\) | −0.555605 | −0.0212131 | ||||||||
\(687\) | 16.8192 | + | 10.8091i | 0.641694 | + | 0.412392i | ||||
\(688\) | −8.44685 | + | 18.4960i | −0.322033 | + | 0.705154i | ||||
\(689\) | 30.3922 | − | 19.5319i | 1.15785 | − | 0.744106i | ||||
\(690\) | −0.322125 | − | 0.207017i | −0.0122631 | − | 0.00788100i | ||||
\(691\) | 10.9594 | + | 23.9977i | 0.416915 | + | 0.912916i | 0.995272 | + | 0.0971317i | \(0.0309668\pi\) |
−0.578357 | + | 0.815784i | \(0.696306\pi\) | |||||||
\(692\) | −4.80873 | + | 33.4455i | −0.182801 | + | 1.27141i | ||||
\(693\) | 11.3560 | − | 14.5309i | 0.431379 | − | 0.551985i | ||||
\(694\) | 0.0580069 | + | 0.403447i | 0.00220191 | + | 0.0153146i | ||||
\(695\) | 8.32438 | − | 5.34975i | 0.315762 | − | 0.202928i | ||||
\(696\) | 3.52189 | − | 2.26338i | 0.133497 | − | 0.0857933i | ||||
\(697\) | 1.94293 | − | 13.5134i | 0.0735936 | − | 0.511855i | ||||
\(698\) | 0.188284 | − | 0.121003i | 0.00712665 | − | 0.00458002i | ||||
\(699\) | −3.73258 | −0.141179 | ||||||||
\(700\) | 1.54904 | + | 1.78768i | 0.0585481 | + | 0.0675681i | ||||
\(701\) | −0.337509 | − | 2.34742i | −0.0127475 | − | 0.0886610i | 0.982454 | − | 0.186503i | \(-0.0597153\pi\) |
−0.995202 | + | 0.0978416i | \(0.968806\pi\) | |||||||
\(702\) | 0.363897 | + | 0.419959i | 0.0137344 | + | 0.0158503i | ||||
\(703\) | 5.08827 | + | 11.1418i | 0.191908 | + | 0.420220i | ||||
\(704\) | 9.74573 | − | 24.5596i | 0.367306 | − | 0.925623i | ||||
\(705\) | −9.17140 | + | 20.0826i | −0.345415 | + | 0.756353i | ||||
\(706\) | 0.296958 | − | 0.0871946i | 0.0111761 | − | 0.00328161i | ||||
\(707\) | 3.28130 | − | 22.8220i | 0.123406 | − | 0.858308i | ||||
\(708\) | −5.32893 | − | 1.56472i | −0.200274 | − | 0.0588056i | ||||
\(709\) | 0.713300 | + | 4.96111i | 0.0267886 | + | 0.186318i | 0.998822 | − | 0.0485239i | \(-0.0154517\pi\) |
−0.972033 | + | 0.234842i | \(0.924543\pi\) | |||||||
\(710\) | −0.234215 | − | 0.512860i | −0.00878995 | − | 0.0192473i | ||||
\(711\) | −26.5735 | + | 30.6674i | −0.996583 | + | 1.15012i | ||||
\(712\) | −0.601362 | + | 0.694008i | −0.0225370 | + | 0.0260091i | ||||
\(713\) | −17.9528 | − | 11.5376i | −0.672339 | − | 0.432086i | ||||
\(714\) | 0.424032 | + | 0.272509i | 0.0158690 | + | 0.0101984i | ||||
\(715\) | −10.4848 | + | 0.531373i | −0.392110 | + | 0.0198722i | ||||
\(716\) | 23.8586 | − | 15.3330i | 0.891638 | − | 0.573021i | ||||
\(717\) | −65.9205 | −2.46184 | ||||||||
\(718\) | −0.652092 | − | 0.752554i | −0.0243358 | − | 0.0280851i | ||||
\(719\) | −3.34690 | + | 7.32869i | −0.124818 | + | 0.273314i | −0.961717 | − | 0.274043i | \(-0.911639\pi\) |
0.836899 | + | 0.547357i | \(0.184366\pi\) | |||||||
\(720\) | 17.9938 | + | 5.28347i | 0.670591 | + | 0.196903i | ||||
\(721\) | 5.69979 | − | 6.57791i | 0.212271 | − | 0.244974i | ||||
\(722\) | −0.512732 | − | 0.329513i | −0.0190819 | − | 0.0122632i | ||||
\(723\) | 64.5188 | 2.39948 | ||||||||
\(724\) | −9.30646 | − | 2.73262i | −0.345872 | − | 0.101557i | ||||
\(725\) | −10.1276 | −0.376131 | ||||||||
\(726\) | −0.827757 | − | 0.779722i | −0.0307210 | − | 0.0289382i | ||||
\(727\) | −4.29473 | −0.159283 | −0.0796414 | − | 0.996824i | \(-0.525378\pi\) | ||||
−0.0796414 | + | 0.996824i | \(0.525378\pi\) | |||||||
\(728\) | −0.535544 | − | 0.157250i | −0.0198486 | − | 0.00582807i | ||||
\(729\) | −44.0186 | −1.63032 | ||||||||
\(730\) | −0.261513 | − | 0.168064i | −0.00967903 | − | 0.00622033i | ||||
\(731\) | 13.7424 | − | 15.8596i | 0.508281 | − | 0.586588i | ||||
\(732\) | 23.1533 | + | 6.79842i | 0.855771 | + | 0.251277i | ||||
\(733\) | 20.1290 | − | 44.0764i | 0.743482 | − | 1.62800i | −0.0342576 | − | 0.999413i | \(-0.510907\pi\) |
0.777740 | − | 0.628586i | \(-0.216366\pi\) | |||||||
\(734\) | −0.209463 | − | 0.241733i | −0.00773140 | − | 0.00892251i | ||||
\(735\) | 15.5353 | 0.573030 | ||||||||
\(736\) | 1.39191 | − | 0.894524i | 0.0513063 | − | 0.0329726i | ||||
\(737\) | −1.72657 | − | 0.989856i | −0.0635990 | − | 0.0364618i | ||||
\(738\) | −0.488025 | − | 0.313635i | −0.0179645 | − | 0.0115451i | ||||
\(739\) | 18.0325 | + | 11.5888i | 0.663336 | + | 0.426300i | 0.828518 | − | 0.559963i | \(-0.189185\pi\) |
−0.165182 | + | 0.986263i | \(0.552821\pi\) | |||||||
\(740\) | −9.86245 | + | 11.3819i | −0.362551 | + | 0.418406i | ||||
\(741\) | 9.34856 | − | 10.7888i | 0.343428 | − | 0.396337i | ||||
\(742\) | −0.209083 | − | 0.457828i | −0.00767567 | − | 0.0168074i | ||||
\(743\) | −2.29776 | − | 15.9813i | −0.0842968 | − | 0.586297i | −0.987564 | − | 0.157218i | \(-0.949747\pi\) |
0.903267 | − | 0.429079i | \(-0.141162\pi\) | |||||||
\(744\) | −2.28519 | − | 0.670993i | −0.0837792 | − | 0.0245998i | ||||
\(745\) | −2.41930 | + | 16.8266i | −0.0886364 | + | 0.616480i | ||||
\(746\) | −0.0957906 | + | 0.0281267i | −0.00350714 | + | 0.00102979i | ||||
\(747\) | 11.9027 | − | 26.0633i | 0.435497 | − | 0.953606i | ||||
\(748\) | −16.8151 | + | 21.5163i | −0.614820 | + | 0.786712i | ||||
\(749\) | 1.95146 | + | 4.27310i | 0.0713047 | + | 0.156136i | ||||
\(750\) | 0.0676987 | + | 0.0781285i | 0.00247201 | + | 0.00285285i | ||||
\(751\) | −4.95814 | − | 34.4846i | −0.180925 | − | 1.25836i | −0.854581 | − | 0.519317i | \(-0.826186\pi\) |
0.673656 | − | 0.739045i | \(-0.264723\pi\) | |||||||
\(752\) | −20.8000 | − | 24.0045i | −0.758500 | − | 0.875355i | ||||
\(753\) | 0.0201688 | 0.000734992 | ||||||||
\(754\) | 1.00484 | − | 0.645769i | 0.0365940 | − | 0.0235175i | ||||
\(755\) | −0.139880 | + | 0.972886i | −0.00509075 | + | 0.0354069i | ||||
\(756\) | −9.37582 | + | 6.02547i | −0.340995 | + | 0.219144i | ||||
\(757\) | −43.9904 | + | 28.2709i | −1.59886 | + | 1.02752i | −0.631079 | + | 0.775718i | \(0.717388\pi\) |
−0.967778 | + | 0.251805i | \(0.918976\pi\) | |||||||
\(758\) | −0.0692301 | − | 0.481506i | −0.00251455 | − | 0.0174891i | ||||
\(759\) | 6.55212 | + | 33.4487i | 0.237827 | + | 1.21411i | ||||
\(760\) | −0.0344650 | + | 0.239709i | −0.00125018 | + | 0.00869517i | ||||
\(761\) | −11.0302 | − | 24.1528i | −0.399845 | − | 0.875539i | −0.997286 | − | 0.0736256i | \(-0.976543\pi\) |
0.597441 | − | 0.801913i | \(-0.296184\pi\) | |||||||
\(762\) | 1.60502 | + | 1.03149i | 0.0581439 | + | 0.0373668i | ||||
\(763\) | −10.1038 | + | 6.49330i | −0.365781 | + | 0.235073i | ||||
\(764\) | −12.2704 | + | 26.8684i | −0.443928 | + | 0.972066i | ||||
\(765\) | −16.2821 | − | 10.4639i | −0.588680 | − | 0.378322i | ||||
\(766\) | −0.0949095 | −0.00342922 | ||||||||
\(767\) | −3.04187 | − | 0.893173i | −0.109835 | − | 0.0322506i | ||||
\(768\) | −28.8696 | + | 33.3173i | −1.04174 | + | 1.20223i | ||||
\(769\) | 25.5100 | + | 29.4401i | 0.919914 | + | 1.06164i | 0.997906 | + | 0.0646837i | \(0.0206038\pi\) |
−0.0779915 | + | 0.996954i | \(0.524851\pi\) | |||||||
\(770\) | −0.0134605 | + | 0.145637i | −0.000485081 | + | 0.00524840i | ||||
\(771\) | 3.94883 | − | 4.55719i | 0.142214 | − | 0.164123i | ||||
\(772\) | 1.11234 | + | 7.73651i | 0.0400341 | + | 0.278443i | ||||
\(773\) | −35.3813 | + | 10.3889i | −1.27258 | + | 0.373662i | −0.847161 | − | 0.531336i | \(-0.821690\pi\) |
−0.425415 | + | 0.904998i | \(0.639872\pi\) | |||||||
\(774\) | −0.370429 | − | 0.811127i | −0.0133148 | − | 0.0291554i | ||||
\(775\) | 3.77302 | + | 4.35430i | 0.135531 | + | 0.156411i | ||||
\(776\) | 0.146220 | − | 1.01698i | 0.00524900 | − | 0.0365076i | ||||
\(777\) | −3.52156 | − | 24.4930i | −0.126335 | − | 0.878681i | ||||
\(778\) | 0.404588 | + | 0.885925i | 0.0145052 | + | 0.0317619i | ||||
\(779\) | −2.23776 | + | 4.90001i | −0.0801760 | + | 0.175561i | ||||
\(780\) | 16.8417 | + | 4.94516i | 0.603029 | + | 0.177065i | ||||
\(781\) | −18.5111 | + | 46.6485i | −0.662378 | + | 1.66921i | ||||
\(782\) | −0.545509 | + | 0.160176i | −0.0195074 | + | 0.00572788i | ||||
\(783\) | 6.79091 | − | 47.2318i | 0.242687 | − | 1.68793i | ||||
\(784\) | −9.28464 | + | 20.3305i | −0.331594 | + | 0.726090i | ||||
\(785\) | 2.09347 | − | 0.614699i | 0.0747193 | − | 0.0219396i | ||||
\(786\) | 1.50125 | − | 0.440805i | 0.0535476 | − | 0.0157230i | ||||
\(787\) | −12.8352 | + | 3.76876i | −0.457526 | + | 0.134342i | −0.502371 | − | 0.864652i | \(-0.667539\pi\) |
0.0448451 | + | 0.998994i | \(0.485721\pi\) | |||||||
\(788\) | 6.03730 | − | 1.77271i | 0.215070 | − | 0.0631503i | ||||
\(789\) | 14.9260 | − | 32.6833i | 0.531378 | − | 1.16356i | ||||
\(790\) | 0.0457995 | − | 0.318543i | 0.00162947 | − | 0.0113332i | ||||
\(791\) | −9.60819 | + | 2.82122i | −0.341628 | + | 0.100311i | ||||
\(792\) | 1.07004 | + | 2.06020i | 0.0380222 | + | 0.0732061i | ||||
\(793\) | 13.2164 | + | 3.88068i | 0.469328 | + | 0.137807i | ||||
\(794\) | −0.508288 | + | 1.11299i | −0.0180385 | + | 0.0394987i | ||||
\(795\) | 13.1549 | + | 28.8053i | 0.466558 | + | 1.02162i | ||||
\(796\) | −1.72028 | − | 11.9648i | −0.0609737 | − | 0.424082i | ||||
\(797\) | −1.77450 | + | 12.3419i | −0.0628561 | + | 0.437173i | 0.933956 | + | 0.357388i | \(0.116333\pi\) |
−0.996812 | + | 0.0797855i | \(0.974576\pi\) | |||||||
\(798\) | −0.130240 | − | 0.150305i | −0.00461046 | − | 0.00532075i | ||||
\(799\) | 13.6175 | + | 29.8183i | 0.481754 | + | 1.05489i | ||||
\(800\) | −0.428607 | + | 0.125850i | −0.0151535 | + | 0.00444948i | ||||
\(801\) | 4.12113 | + | 28.6631i | 0.145613 | + | 1.01276i | ||||
\(802\) | 0.0986671 | − | 0.113868i | 0.00348405 | − | 0.00402081i | ||||
\(803\) | 5.31926 | + | 27.1549i | 0.187713 | + | 0.958275i | ||||
\(804\) | 2.17906 | + | 2.51477i | 0.0768495 | + | 0.0886890i | ||||
\(805\) | 2.87077 | − | 3.31305i | 0.101181 | − | 0.116770i | ||||
\(806\) | −0.651992 | − | 0.191442i | −0.0229654 | − | 0.00674326i | ||||
\(807\) | 77.2981 | 2.72102 | ||||||||
\(808\) | 2.44166 | + | 1.56916i | 0.0858974 | + | 0.0552029i | ||||
\(809\) | −18.7714 | + | 41.1037i | −0.659969 | + | 1.44513i | 0.222583 | + | 0.974914i | \(0.428551\pi\) |
−0.882551 | + | 0.470216i | \(0.844176\pi\) | |||||||
\(810\) | 0.0320290 | − | 0.0205838i | 0.00112538 | − | 0.000723240i | ||||
\(811\) | 1.67596 | + | 1.07708i | 0.0588511 | + | 0.0378213i | 0.569736 | − | 0.821828i | \(-0.307046\pi\) |
−0.510884 | + | 0.859649i | \(0.670682\pi\) | |||||||
\(812\) | 9.95184 | + | 21.7915i | 0.349241 | + | 0.764731i | ||||
\(813\) | 3.55884 | − | 24.7523i | 0.124814 | − | 0.868100i | ||||
\(814\) | −0.930004 | + | 0.0471328i | −0.0325966 | + | 0.00165200i | ||||
\(815\) | −2.26352 | − | 15.7431i | −0.0792875 | − | 0.551457i | ||||
\(816\) | 38.3823 | − | 24.6668i | 1.34365 | − | 0.863511i | ||||
\(817\) | −6.96571 | + | 4.47659i | −0.243699 | + | 0.156616i | ||||
\(818\) | −0.126323 | + | 0.878596i | −0.00441678 | + | 0.0307194i | ||||
\(819\) | −14.8068 | + | 9.51573i | −0.517390 | + | 0.332506i | ||||
\(820\) | −6.62337 | −0.231298 | ||||||||
\(821\) | 27.3650 | + | 31.5809i | 0.955046 | + | 1.10218i | 0.994685 | + | 0.102968i | \(0.0328338\pi\) |
−0.0396387 | + | 0.999214i | \(0.512621\pi\) | |||||||
\(822\) | −0.233439 | − | 1.62361i | −0.00814213 | − | 0.0566298i | ||||
\(823\) | −18.3848 | − | 21.2172i | −0.640853 | − | 0.739584i | 0.338672 | − | 0.940904i | \(-0.390022\pi\) |
−0.979525 | + | 0.201320i | \(0.935477\pi\) | |||||||
\(824\) | 0.455151 | + | 0.996641i | 0.0158559 | + | 0.0347196i | ||||
\(825\) | 0.846896 | − | 9.16310i | 0.0294852 | − | 0.319018i | ||||
\(826\) | −0.0183477 | + | 0.0401758i | −0.000638398 | + | 0.00139790i | ||||
\(827\) | −33.0242 | + | 9.69679i | −1.14836 | + | 0.337190i | −0.799901 | − | 0.600132i | \(-0.795115\pi\) |
−0.348464 | + | 0.937322i | \(0.613297\pi\) | |||||||
\(828\) | 4.94961 | − | 34.4253i | 0.172011 | − | 1.19636i | ||||
\(829\) | 2.28472 | + | 0.670854i | 0.0793516 | + | 0.0232997i | 0.321167 | − | 0.947022i | \(-0.395925\pi\) |
−0.241816 | + | 0.970322i | \(0.577743\pi\) | |||||||
\(830\) | 0.0323389 | + | 0.224922i | 0.00112250 | + | 0.00780715i | ||||
\(831\) | −24.5507 | − | 53.7585i | −0.851654 | − | 1.86486i | ||||
\(832\) | −16.5139 | + | 19.0580i | −0.572516 | + | 0.660718i | ||||
\(833\) | 15.1054 | − | 17.4326i | 0.523372 | − | 0.604003i | ||||
\(834\) | −0.860564 | − | 0.553051i | −0.0297989 | − | 0.0191506i | ||||
\(835\) | 11.0154 | + | 7.07916i | 0.381203 | + | 0.244984i | ||||
\(836\) | 8.75780 | − | 6.27657i | 0.302895 | − | 0.217080i | ||||
\(837\) | −22.8369 | + | 14.6764i | −0.789358 | + | 0.507290i | ||||
\(838\) | −0.517919 | −0.0178912 | ||||||||
\(839\) | −27.5265 | − | 31.7673i | −0.950321 | − | 1.09673i | −0.995212 | − | 0.0977369i | \(-0.968840\pi\) |
0.0448914 | − | 0.998992i | \(-0.485706\pi\) | |||||||
\(840\) | 0.203239 | − | 0.445032i | 0.00701242 | − | 0.0153550i | ||||
\(841\) | −70.5890 | − | 20.7268i | −2.43411 | − | 0.714718i | ||||
\(842\) | 0.202271 | − | 0.233434i | 0.00697073 | − | 0.00804465i | ||||
\(843\) | −7.12685 | − | 4.58015i | −0.245462 | − | 0.157749i | ||||
\(844\) | 6.19534 | 0.213253 | ||||||||
\(845\) | −2.85983 | − | 0.839721i | −0.0983811 | − | 0.0288873i | ||||
\(846\) | 1.39292 | 0.0478895 | ||||||||
\(847\) | 10.1845 | − | 8.10981i | 0.349945 | − | 0.278656i | ||||
\(848\) | −45.5584 | −1.56448 | ||||||||
\(849\) | 33.0442 | + | 9.70266i | 1.13407 | + | 0.332994i | ||||
\(850\) | 0.153495 | 0.00526484 | ||||||||
\(851\) | 23.4801 | + | 15.0897i | 0.804888 | + | 0.517270i | ||||
\(852\) | 54.9498 | − | 63.4154i | 1.88255 | − | 2.17258i | ||||
\(853\) | 11.6038 | + | 3.40718i | 0.397306 | + | 0.116660i | 0.474281 | − | 0.880373i | \(-0.342708\pi\) |
−0.0769749 | + | 0.997033i | \(0.524526\pi\) | |||||||
\(854\) | 0.0797176 | − | 0.174557i | 0.00272788 | − | 0.00597323i | ||||
\(855\) | 5.00100 | + | 5.77146i | 0.171031 | + | 0.197380i | ||||
\(856\) | −0.591344 | −0.0202117 | ||||||||
\(857\) | −11.3352 | + | 7.28468i | −0.387202 | + | 0.248840i | −0.719731 | − | 0.694253i | \(-0.755735\pi\) |
0.332528 | + | 0.943093i | \(0.392098\pi\) | |||||||
\(858\) | 0.500240 | + | 0.963138i | 0.0170779 | + | 0.0328810i | ||||
\(859\) | −9.36236 | − | 6.01683i | −0.319440 | − | 0.205291i | 0.371087 | − | 0.928598i | \(-0.378985\pi\) |
−0.690527 | + | 0.723306i | \(0.742621\pi\) | |||||||
\(860\) | −8.56472 | − | 5.50421i | −0.292055 | − | 0.187692i | ||||
\(861\) | 7.12651 | − | 8.22443i | 0.242871 | − | 0.280288i | ||||
\(862\) | 0.758713 | − | 0.875601i | 0.0258419 | − | 0.0298231i | ||||
\(863\) | 16.4660 | + | 36.0556i | 0.560511 | + | 1.22735i | 0.951698 | + | 0.307036i | \(0.0993373\pi\) |
−0.391187 | + | 0.920311i | \(0.627935\pi\) | |||||||
\(864\) | −0.299528 | − | 2.08326i | −0.0101901 | − | 0.0708740i | ||||
\(865\) | −16.2216 | − | 4.76309i | −0.551551 | − | 0.161950i | ||||
\(866\) | 0.108576 | − | 0.755166i | 0.00368958 | − | 0.0256616i | ||||
\(867\) | 0.0767054 | − | 0.0225227i | 0.00260505 | − | 0.000764913i | ||||
\(868\) | 5.66155 | − | 12.3971i | 0.192165 | − | 0.420784i | ||||
\(869\) | −23.2840 | + | 16.6873i | −0.789857 | + | 0.566077i | ||||
\(870\) | 0.434933 | + | 0.952369i | 0.0147456 | + | 0.0322883i | ||||
\(871\) | 1.24385 | + | 1.43548i | 0.0421463 | + | 0.0486395i | ||||
\(872\) | −0.215164 | − | 1.49650i | −0.00728637 | − | 0.0506778i | ||||
\(873\) | −21.2171 | − | 24.4858i | −0.718089 | − | 0.828719i | ||||
\(874\) | 0.224329 | 0.00758803 | ||||||||
\(875\) | −0.995661 | + | 0.639872i | −0.0336595 | + | 0.0216316i | ||||
\(876\) | 6.58415 | − | 45.7938i | 0.222458 | − | 1.54723i | ||||
\(877\) | −17.6709 | + | 11.3564i | −0.596703 | + | 0.383478i | −0.803850 | − | 0.594832i | \(-0.797219\pi\) |
0.207147 | + | 0.978310i | \(0.433582\pi\) | |||||||
\(878\) | 1.16288 | − | 0.747340i | 0.0392454 | − | 0.0252215i | ||||
\(879\) | −6.10111 | − | 42.4341i | −0.205785 | − | 1.43127i | ||||
\(880\) | 11.4853 | + | 6.58459i | 0.387168 | + | 0.221966i | ||||
\(881\) | −1.39633 | + | 9.71166i | −0.0470434 | + | 0.327194i | 0.952687 | + | 0.303955i | \(0.0983071\pi\) |
−0.999730 | + | 0.0232395i | \(0.992602\pi\) | |||||||
\(882\) | −0.407169 | − | 0.891577i | −0.0137101 | − | 0.0300210i | ||||
\(883\) | −36.0532 | − | 23.1700i | −1.21329 | − | 0.779733i | −0.232082 | − | 0.972696i | \(-0.574554\pi\) |
−0.981206 | + | 0.192963i | \(0.938190\pi\) | |||||||
\(884\) | 21.9247 | − | 14.0901i | 0.737407 | − | 0.473902i | ||||
\(885\) | 1.15439 | − | 2.52776i | 0.0388044 | − | 0.0849697i | ||||
\(886\) | 0.338781 | + | 0.217721i | 0.0113816 | + | 0.00731449i | ||||
\(887\) | 31.8417 | 1.06914 | 0.534570 | − | 0.845124i | \(-0.320474\pi\) | ||||
0.534570 | + | 0.845124i | \(0.320474\pi\) | |||||||
\(888\) | 2.98875 | + | 0.877577i | 0.100296 | + | 0.0294496i | ||||
\(889\) | −14.3040 | + | 16.5077i | −0.479739 | + | 0.553649i | ||||
\(890\) | −0.150393 | − | 0.173562i | −0.00504117 | − | 0.00581782i | ||||
\(891\) | −3.29590 | − | 0.788986i | −0.110417 | − | 0.0264320i | ||||
\(892\) | −22.7714 | + | 26.2796i | −0.762443 | + | 0.879906i | ||||
\(893\) | −1.84074 | − | 12.8026i | −0.0615979 | − | 0.428423i | ||||
\(894\) | 1.68622 | − | 0.495118i | 0.0563955 | − | 0.0165592i | ||||
\(895\) | 5.89484 | + | 12.9079i | 0.197043 | + | 0.431463i | ||||
\(896\) | 0.922503 | + | 1.06462i | 0.0308186 | + | 0.0355666i | ||||
\(897\) | 4.62946 | − | 32.1986i | 0.154573 | − | 1.07508i | ||||
\(898\) | 0.0761164 | + | 0.529401i | 0.00254004 | + | 0.0176663i | ||||
\(899\) | 24.2399 | + | 53.0780i | 0.808446 | + | 1.77025i | ||||
\(900\) | −3.90066 | + | 8.54124i | −0.130022 | + | 0.284708i | ||||
\(901\) | 45.1140 | + | 13.2467i | 1.50297 | + | 0.441311i | ||||
\(902\) | −0.283506 | − | 0.295531i | −0.00943973 | − | 0.00984009i | ||||
\(903\) | 16.0501 | − | 4.71273i | 0.534113 | − | 0.156830i | ||||
\(904\) | 0.179396 | − | 1.24773i | 0.00596662 | − | 0.0414988i | ||||
\(905\) | 2.01603 | − | 4.41449i | 0.0670151 | − | 0.146743i | ||||
\(906\) | 0.0974941 | − | 0.0286268i | 0.00323902 | − | 0.000951063i | ||||
\(907\) | 24.1216 | − | 7.08274i | 0.800944 | − | 0.235178i | 0.144453 | − | 0.989512i | \(-0.453858\pi\) |
0.656492 | + | 0.754333i | \(0.272040\pi\) | |||||||
\(908\) | 36.4595 | − | 10.7055i | 1.20995 | − | 0.355274i | ||||
\(909\) | 87.8174 | − | 25.7855i | 2.91272 | − | 0.855251i | ||||
\(910\) | 0.0579864 | − | 0.126973i | 0.00192223 | − | 0.00420910i | ||||
\(911\) | −4.90727 | + | 34.1308i | −0.162585 | + | 1.13080i | 0.731152 | + | 0.682214i | \(0.238983\pi\) |
−0.893737 | + | 0.448590i | \(0.851926\pi\) | |||||||
\(912\) | −17.2731 | + | 5.07184i | −0.571970 | + | 0.167946i | ||||
\(913\) | 12.4552 | − | 15.9374i | 0.412207 | − | 0.527452i | ||||
\(914\) | −0.728080 | − | 0.213784i | −0.0240827 | − | 0.00707133i | ||||
\(915\) | −5.01562 | + | 10.9827i | −0.165811 | + | 0.363076i | ||||
\(916\) | −5.98269 | − | 13.1003i | −0.197674 | − | 0.432845i | ||||
\(917\) | 2.54925 | + | 17.7304i | 0.0841838 | + | 0.585511i | ||||
\(918\) | −0.102923 | + | 0.715848i | −0.00339698 | + | 0.0236265i | ||||
\(919\) | −10.8738 | − | 12.5490i | −0.358694 | − | 0.413955i | 0.547508 | − | 0.836801i | \(-0.315577\pi\) |
−0.906202 | + | 0.422846i | \(0.861031\pi\) | |||||||
\(920\) | 0.229243 | + | 0.501971i | 0.00755790 | + | 0.0165495i | ||||
\(921\) | 56.1247 | − | 16.4797i | 1.84937 | − | 0.543024i | ||||
\(922\) | 0.0374597 | + | 0.260538i | 0.00123367 | + | 0.00858035i | ||||
\(923\) | 31.3665 | − | 36.1989i | 1.03244 | − | 1.19150i | ||||
\(924\) | −20.5483 | + | 7.18179i | −0.675989 | + | 0.236263i | ||||
\(925\) | −4.93465 | − | 5.69489i | −0.162250 | − | 0.187247i | ||||
\(926\) | −0.778504 | + | 0.898442i | −0.0255832 | + | 0.0295246i | ||||
\(927\) | 33.1508 | + | 9.73396i | 1.08882 | + | 0.319705i | ||||
\(928\) | −4.52403 | −0.148509 | ||||||||
\(929\) | 29.0600 | + | 18.6757i | 0.953428 | + | 0.612731i | 0.922172 | − | 0.386780i | \(-0.126413\pi\) |
0.0312563 | + | 0.999511i | \(0.490049\pi\) | |||||||
\(930\) | 0.247431 | − | 0.541798i | 0.00811358 | − | 0.0177663i | ||||
\(931\) | −7.65659 | + | 4.92059i | −0.250935 | + | 0.161266i | ||||
\(932\) | 2.26189 | + | 1.45363i | 0.0740906 | + | 0.0476151i | ||||
\(933\) | 6.23924 | + | 13.6620i | 0.204263 | + | 0.447275i | ||||
\(934\) | 0.102164 | − | 0.710563i | 0.00334289 | − | 0.0232503i | ||||
\(935\) | −9.45868 | − | 9.85984i | −0.309332 | − | 0.322451i | ||||
\(936\) | −0.315316 | − | 2.19307i | −0.0103064 | − | 0.0716828i | ||||
\(937\) | −39.7045 | + | 25.5165i | −1.29709 | + | 0.833589i | −0.992892 | − | 0.119020i | \(-0.962025\pi\) |
−0.304198 | + | 0.952609i | \(0.598388\pi\) | |||||||
\(938\) | 0.0222612 | − | 0.0143064i | 0.000726853 | − | 0.000467120i | ||||
\(939\) | 8.68534 | − | 60.4079i | 0.283435 | − | 1.97134i | ||||
\(940\) | 13.3788 | − | 8.59800i | 0.436367 | − | 0.280436i | ||||
\(941\) | 43.1713 | 1.40734 | 0.703671 | − | 0.710526i | \(-0.251543\pi\) | ||||
0.703671 | + | 0.710526i | \(0.251543\pi\) | |||||||
\(942\) | −0.147709 | − | 0.170465i | −0.00481261 | − | 0.00555405i | ||||
\(943\) | 1.74689 | + | 12.1499i | 0.0568866 | + | 0.395655i | ||||
\(944\) | 2.61807 | + | 3.02141i | 0.0852108 | + | 0.0983385i | ||||
\(945\) | −2.31652 | − | 5.07247i | −0.0753564 | − | 0.165008i | ||||
\(946\) | −0.121009 | − | 0.617755i | −0.00393436 | − | 0.0200849i | ||||
\(947\) | 15.4729 | − | 33.8809i | 0.502802 | − | 1.10098i | −0.472747 | − | 0.881198i | \(-0.656737\pi\) |
0.975549 | − | 0.219784i | \(-0.0705353\pi\) | |||||||
\(948\) | 45.9553 | − | 13.4937i | 1.49256 | − | 0.438255i | ||||
\(949\) | 3.75837 | − | 26.1401i | 0.122002 | − | 0.848542i | ||||
\(950\) | −0.0581113 | − | 0.0170630i | −0.00188538 | − | 0.000553598i | ||||
\(951\) | −8.11284 | − | 56.4261i | −0.263077 | − | 1.82974i | ||||
\(952\) | −0.301766 | − | 0.660775i | −0.00978029 | − | 0.0214158i | ||||
\(953\) | 14.9123 | − | 17.2097i | 0.483055 | − | 0.557476i | −0.460941 | − | 0.887431i | \(-0.652488\pi\) |
0.943997 | + | 0.329955i | \(0.107034\pi\) | |||||||
\(954\) | 1.30836 | − | 1.50993i | 0.0423598 | − | 0.0488858i | ||||
\(955\) | −12.4330 | − | 7.99019i | −0.402322 | − | 0.258557i | ||||
\(956\) | 39.9468 | + | 25.6723i | 1.29197 | + | 0.830301i | ||||
\(957\) | 34.3746 | − | 86.6251i | 1.11117 | − | 2.80019i | ||||
\(958\) | 0.897138 | − | 0.576556i | 0.0289852 | − | 0.0186277i | ||||
\(959\) | 18.7792 | 0.606412 | ||||||||
\(960\) | −14.4751 | − | 16.7051i | −0.467181 | − | 0.539155i | ||||
\(961\) | 0.912084 | − | 1.99719i | 0.0294221 | − | 0.0644254i | ||||
\(962\) | 0.852725 | + | 0.250383i | 0.0274930 | + | 0.00807266i | ||||
\(963\) | −12.2115 | + | 14.0928i | −0.393510 | + | 0.454134i | ||||
\(964\) | −39.0974 | − | 25.1264i | −1.25924 | − | 0.809267i | ||||
\(965\) | −3.91075 | −0.125891 | ||||||||
\(966\) | −0.434834 | − | 0.127679i | −0.0139905 | − | 0.00410800i | ||||
\(967\) | −1.45863 | −0.0469065 | −0.0234533 | − | 0.999725i | \(-0.507466\pi\) | ||||
−0.0234533 | + | 0.999725i | \(0.507466\pi\) | |||||||
\(968\) | 0.396041 | + | 1.59028i | 0.0127292 | + | 0.0511136i | ||||
\(969\) | 18.5793 | 0.596854 | ||||||||
\(970\) | 0.246541 | + | 0.0723910i | 0.00791596 | + | 0.00232434i | ||||
\(971\) | 2.11431 | 0.0678515 | 0.0339257 | − | 0.999424i | \(-0.489199\pi\) | ||||
0.0339257 | + | 0.999424i | \(0.489199\pi\) | |||||||
\(972\) | 28.5323 | + | 18.3366i | 0.915172 | + | 0.588146i | ||||
\(973\) | 7.66934 | − | 8.85089i | 0.245868 | − | 0.283747i | ||||
\(974\) | 0.400909 | + | 0.117718i | 0.0128460 | + | 0.00377191i | ||||
\(975\) | −3.64836 | + | 7.98878i | −0.116841 | + | 0.255846i | ||||
\(976\) | −11.3751 | − | 13.1275i | −0.364107 | − | 0.420201i | ||||
\(977\) | −11.0247 | −0.352710 | −0.176355 | − | 0.984327i | \(-0.556431\pi\) | ||||
−0.176355 | + | 0.984327i | \(0.556431\pi\) | |||||||
\(978\) | −1.38322 | + | 0.888942i | −0.0442305 | + | 0.0284252i | ||||
\(979\) | −1.88138 | + | 20.3558i | −0.0601291 | + | 0.650575i | ||||
\(980\) | −9.41419 | − | 6.05014i | −0.300725 | − | 0.193264i | ||||
\(981\) | −40.1075 | − | 25.7755i | −1.28053 | − | 0.822950i | ||||
\(982\) | 0.673795 | − | 0.777601i | 0.0215017 | − | 0.0248143i | ||||
\(983\) | 38.4681 | − | 44.3946i | 1.22694 | − | 1.41597i | 0.349053 | − | 0.937103i | \(-0.386503\pi\) |
0.877889 | − | 0.478864i | \(-0.158951\pi\) | |||||||
\(984\) | 0.569080 | + | 1.24611i | 0.0181416 | + | 0.0397246i | ||||
\(985\) | 0.448046 | + | 3.11623i | 0.0142759 | + | 0.0992914i | ||||
\(986\) | 1.49157 | + | 0.437965i | 0.0475014 | + | 0.0139477i | ||||
\(987\) | −3.71868 | + | 25.8640i | −0.118367 | + | 0.823259i | ||||
\(988\) | −9.86672 | + | 2.89713i | −0.313902 | + | 0.0921700i | ||||
\(989\) | −7.83801 | + | 17.1628i | −0.249234 | + | 0.545747i | ||||
\(990\) | −0.548069 | + | 0.191554i | −0.0174188 | + | 0.00608799i | ||||
\(991\) | 8.85926 | + | 19.3991i | 0.281424 | + | 0.616232i | 0.996571 | − | 0.0827418i | \(-0.0263677\pi\) |
−0.715147 | + | 0.698974i | \(0.753640\pi\) | |||||||
\(992\) | 1.68541 | + | 1.94507i | 0.0535119 | + | 0.0617561i | ||||
\(993\) | −8.73299 | − | 60.7393i | −0.277133 | − | 1.92750i | ||||
\(994\) | −0.436985 | − | 0.504308i | −0.0138603 | − | 0.0159957i | ||||
\(995\) | 6.04812 | 0.191738 | ||||||||
\(996\) | −28.4502 | + | 18.2838i | −0.901479 | + | 0.579345i | ||||
\(997\) | 1.38372 | − | 9.62398i | 0.0438228 | − | 0.304795i | −0.956108 | − | 0.293015i | \(-0.905341\pi\) |
0.999931 | − | 0.0117793i | \(-0.00374956\pi\) | |||||||
\(998\) | 0.0701523 | − | 0.0450841i | 0.00222063 | − | 0.00142711i | ||||
\(999\) | 29.8679 | − | 19.1949i | 0.944977 | − | 0.607300i |
(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 | 605.2.k.b.56.12 | ✓ | 220 | |
121.67 | even | 11 | inner | 605.2.k.b.551.12 | yes | 220 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
605.2.k.b.56.12 | ✓ | 220 | 1.1 | even | 1 | trivial | |
605.2.k.b.551.12 | yes | 220 | 121.67 | even | 11 | inner |