Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [841,2,Mod(63,841)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(841, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([11]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("841.63");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 841 = 29^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 841.e (of order \(14\), degree \(6\), not 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: | \(6.71541880999\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{14})\) |
Coefficient field: | 12.0.7877952219361.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 3x^{11} + 13x^{9} - 18x^{8} - 14x^{7} + 57x^{6} - 28x^{5} - 72x^{4} + 104x^{3} - 96x + 64 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 29) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{14}]$ |
Embedding invariants
Embedding label | 270.2 | ||
Root | \(0.639551 + 1.26134i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 841.270 |
Dual form | 841.2.e.h.651.2 |
$q$-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 \(\left(\mathbb{Z}/841\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{5}{14}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.983939 | + | 2.04317i | 0.695750 | + | 1.44474i | 0.886324 | + | 0.463066i | \(0.153251\pi\) |
−0.190574 | + | 0.981673i | \(0.561035\pi\) | |||||||
\(3\) | 2.22085 | − | 1.77107i | 1.28221 | − | 1.02253i | 0.284241 | − | 0.958753i | \(-0.408258\pi\) |
0.997964 | − | 0.0637723i | \(-0.0203131\pi\) | |||||||
\(4\) | −1.95943 | + | 2.45704i | −0.979714 | + | 1.22852i | ||||
\(5\) | 0.0521506 | − | 0.0251144i | 0.0233225 | − | 0.0112315i | −0.422186 | − | 0.906509i | \(-0.638737\pi\) |
0.445509 | + | 0.895278i | \(0.353023\pi\) | |||||||
\(6\) | 5.80376 | + | 2.79495i | 2.36938 | + | 1.14103i | ||||
\(7\) | −0.973866 | − | 1.22119i | −0.368087 | − | 0.461566i | 0.562950 | − | 0.826491i | \(-0.309666\pi\) |
−0.931037 | + | 0.364924i | \(0.881095\pi\) | |||||||
\(8\) | −2.52634 | − | 0.576620i | −0.893195 | − | 0.203866i | ||||
\(9\) | 1.12792 | − | 4.94174i | 0.375973 | − | 1.64725i | ||||
\(10\) | 0.102626 | + | 0.0818415i | 0.0324532 | + | 0.0258806i | ||||
\(11\) | 3.87328 | − | 0.884050i | 1.16784 | − | 0.266551i | 0.405724 | − | 0.913996i | \(-0.367019\pi\) |
0.762113 | + | 0.647444i | \(0.224162\pi\) | |||||||
\(12\) | 8.92699i | 2.57700i | ||||||||
\(13\) | 0.0901178 | + | 0.394832i | 0.0249942 | + | 0.109507i | 0.985886 | − | 0.167416i | \(-0.0535424\pi\) |
−0.960892 | + | 0.276923i | \(0.910685\pi\) | |||||||
\(14\) | 1.53687 | − | 3.19135i | 0.410747 | − | 0.852924i | ||||
\(15\) | 0.0713392 | − | 0.148137i | 0.0184197 | − | 0.0382489i | ||||
\(16\) | 0.0909953 | + | 0.398677i | 0.0227488 | + | 0.0996692i | ||||
\(17\) | − | 5.16843i | − | 1.25353i | −0.779209 | − | 0.626764i | \(-0.784379\pi\) | ||
0.779209 | − | 0.626764i | \(-0.215621\pi\) | |||||||
\(18\) | 11.2066 | − | 2.55784i | 2.64143 | − | 0.602888i | ||||
\(19\) | 2.69801 | + | 2.15159i | 0.618966 | + | 0.493609i | 0.882045 | − | 0.471165i | \(-0.156167\pi\) |
−0.263079 | + | 0.964774i | \(0.584738\pi\) | |||||||
\(20\) | −0.0404781 | + | 0.177346i | −0.00905118 | + | 0.0396558i | ||||
\(21\) | −4.32561 | − | 0.987293i | −0.943926 | − | 0.215445i | ||||
\(22\) | 5.61733 | + | 7.04391i | 1.19762 | + | 1.50177i | ||||
\(23\) | −0.207389 | − | 0.0998734i | −0.0432437 | − | 0.0208251i | 0.412137 | − | 0.911122i | \(-0.364783\pi\) |
−0.455381 | + | 0.890297i | \(0.650497\pi\) | |||||||
\(24\) | −6.63184 | + | 3.19372i | −1.35372 | + | 0.651916i | ||||
\(25\) | −3.11536 | + | 3.90654i | −0.623072 | + | 0.781308i | ||||
\(26\) | −0.718038 | + | 0.572616i | −0.140819 | + | 0.112299i | ||||
\(27\) | −2.54978 | − | 5.29468i | −0.490706 | − | 1.01896i | ||||
\(28\) | 4.90874 | 0.927664 | ||||||||
\(29\) | 0 | 0 | ||||||||
\(30\) | 0.372863 | 0.0680752 | ||||||||
\(31\) | 1.87365 | + | 3.89068i | 0.336518 | + | 0.698786i | 0.998722 | − | 0.0505371i | \(-0.0160933\pi\) |
−0.662205 | + | 0.749323i | \(0.730379\pi\) | |||||||
\(32\) | −4.77696 | + | 3.80950i | −0.844455 | + | 0.673430i | ||||
\(33\) | 7.03624 | − | 8.82317i | 1.22485 | − | 1.53592i | ||||
\(34\) | 10.5600 | − | 5.08542i | 1.81102 | − | 0.872142i | ||||
\(35\) | −0.0814572 | − | 0.0392277i | −0.0137688 | − | 0.00663069i | ||||
\(36\) | 9.93200 | + | 12.4543i | 1.65533 | + | 2.07572i | ||||
\(37\) | −5.23604 | − | 1.19509i | −0.860800 | − | 0.196472i | −0.230737 | − | 0.973016i | \(-0.574114\pi\) |
−0.630063 | + | 0.776544i | \(0.716971\pi\) | |||||||
\(38\) | −1.74139 | + | 7.62953i | −0.282491 | + | 1.23767i | ||||
\(39\) | 0.899411 | + | 0.717256i | 0.144021 | + | 0.114853i | ||||
\(40\) | −0.146231 | + | 0.0333764i | −0.0231212 | + | 0.00527727i | ||||
\(41\) | − | 1.46294i | − | 0.228473i | −0.993454 | − | 0.114237i | \(-0.963558\pi\) | ||
0.993454 | − | 0.114237i | \(-0.0364422\pi\) | |||||||
\(42\) | −2.23893 | − | 9.80940i | −0.345475 | − | 1.51362i | ||||
\(43\) | −2.81294 | + | 5.84112i | −0.428969 | + | 0.890763i | 0.568702 | + | 0.822544i | \(0.307446\pi\) |
−0.997670 | + | 0.0682189i | \(0.978268\pi\) | |||||||
\(44\) | −5.41726 | + | 11.2490i | −0.816682 | + | 1.69586i | ||||
\(45\) | −0.0652872 | − | 0.286042i | −0.00973244 | − | 0.0426406i | ||||
\(46\) | − | 0.522001i | − | 0.0769648i | ||||||
\(47\) | −9.33395 | + | 2.13041i | −1.36150 | + | 0.310753i | −0.840040 | − | 0.542525i | \(-0.817468\pi\) |
−0.521457 | + | 0.853278i | \(0.674611\pi\) | |||||||
\(48\) | 0.908169 | + | 0.724241i | 0.131083 | + | 0.104535i | ||||
\(49\) | 1.01476 | − | 4.44595i | 0.144965 | − | 0.635135i | ||||
\(50\) | −11.0470 | − | 2.52142i | −1.56229 | − | 0.356582i | ||||
\(51\) | −9.15362 | − | 11.4783i | −1.28176 | − | 1.60728i | ||||
\(52\) | −1.14670 | − | 0.552221i | −0.159019 | − | 0.0765793i | ||||
\(53\) | 1.61165 | − | 0.776129i | 0.221377 | − | 0.106609i | −0.319908 | − | 0.947448i | \(-0.603652\pi\) |
0.541285 | + | 0.840839i | \(0.317938\pi\) | |||||||
\(54\) | 8.30909 | − | 10.4193i | 1.13072 | − | 1.41788i | ||||
\(55\) | 0.179791 | − | 0.143379i | 0.0242431 | − | 0.0193332i | ||||
\(56\) | 1.75615 | + | 3.64669i | 0.234676 | + | 0.487309i | ||||
\(57\) | 9.80247 | 1.29837 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −1.05216 | −0.136980 | −0.0684900 | − | 0.997652i | \(-0.521818\pi\) | ||||
−0.0684900 | + | 0.997652i | \(0.521818\pi\) | |||||||
\(60\) | 0.224196 | + | 0.465548i | 0.0289436 | + | 0.0601020i | ||||
\(61\) | −2.49355 | + | 1.98854i | −0.319266 | + | 0.254606i | −0.769988 | − | 0.638058i | \(-0.779738\pi\) |
0.450722 | + | 0.892664i | \(0.351167\pi\) | |||||||
\(62\) | −6.10575 | + | 7.65637i | −0.775431 | + | 0.972360i | ||||
\(63\) | −7.13325 | + | 3.43519i | −0.898705 | + | 0.432793i | ||||
\(64\) | −11.7468 | − | 5.65697i | −1.46835 | − | 0.707121i | ||||
\(65\) | 0.0146157 | + | 0.0183275i | 0.00181285 | + | 0.00227324i | ||||
\(66\) | 24.9505 | + | 5.69478i | 3.07119 | + | 0.700979i | ||||
\(67\) | 2.41937 | − | 10.6000i | 0.295574 | − | 1.29499i | −0.581071 | − | 0.813853i | \(-0.697366\pi\) |
0.876644 | − | 0.481139i | \(-0.159777\pi\) | |||||||
\(68\) | 12.6991 | + | 10.1272i | 1.53999 | + | 1.22810i | ||||
\(69\) | −0.637462 | + | 0.145497i | −0.0767414 | + | 0.0175157i | ||||
\(70\) | − | 0.205028i | − | 0.0245056i | ||||||
\(71\) | 2.99355 | + | 13.1156i | 0.355268 | + | 1.55653i | 0.764819 | + | 0.644245i | \(0.222828\pi\) |
−0.409550 | + | 0.912288i | \(0.634314\pi\) | |||||||
\(72\) | −5.69901 | + | 11.8341i | −0.671635 | + | 1.39466i | ||||
\(73\) | −3.04397 | + | 6.32087i | −0.356270 | + | 0.739801i | −0.999669 | − | 0.0257293i | \(-0.991809\pi\) |
0.643399 | + | 0.765531i | \(0.277523\pi\) | |||||||
\(74\) | −2.71017 | − | 11.8740i | −0.315051 | − | 1.38033i | ||||
\(75\) | 14.1933i | 1.63890i | ||||||||
\(76\) | −10.5731 | + | 2.41324i | −1.21282 | + | 0.276818i | ||||
\(77\) | −4.85165 | − | 3.86906i | −0.552896 | − | 0.440920i | ||||
\(78\) | −0.580511 | + | 2.54339i | −0.0657299 | + | 0.287982i | ||||
\(79\) | 4.66468 | + | 1.06468i | 0.524818 | + | 0.119786i | 0.476718 | − | 0.879056i | \(-0.341826\pi\) |
0.0480998 | + | 0.998843i | \(0.484683\pi\) | |||||||
\(80\) | 0.0147580 | + | 0.0185059i | 0.00164999 | + | 0.00206903i | ||||
\(81\) | −1.33932 | − | 0.644983i | −0.148814 | − | 0.0716648i | ||||
\(82\) | 2.98904 | − | 1.43945i | 0.330084 | − | 0.158960i | ||||
\(83\) | 5.25194 | − | 6.58572i | 0.576475 | − | 0.722877i | −0.405032 | − | 0.914302i | \(-0.632740\pi\) |
0.981507 | + | 0.191426i | \(0.0613111\pi\) | |||||||
\(84\) | 10.9015 | − | 8.69370i | 1.18946 | − | 0.948560i | ||||
\(85\) | −0.129802 | − | 0.269537i | −0.0140790 | − | 0.0292354i | ||||
\(86\) | −14.7022 | −1.58537 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −10.2950 | −1.09745 | ||||||||
\(89\) | −0.491447 | − | 1.02050i | −0.0520933 | − | 0.108173i | 0.873297 | − | 0.487188i | \(-0.161977\pi\) |
−0.925391 | + | 0.379015i | \(0.876263\pi\) | |||||||
\(90\) | 0.520194 | − | 0.414841i | 0.0548332 | − | 0.0437280i | ||||
\(91\) | 0.394402 | − | 0.494564i | 0.0413446 | − | 0.0518444i | ||||
\(92\) | 0.651758 | − | 0.313870i | 0.0679505 | − | 0.0327232i | ||||
\(93\) | 11.0517 | + | 5.32223i | 1.14601 | + | 0.551890i | ||||
\(94\) | −13.5368 | − | 16.9746i | −1.39622 | − | 1.75080i | ||||
\(95\) | 0.194739 | + | 0.0444479i | 0.0199798 | + | 0.00456025i | ||||
\(96\) | −3.86202 | + | 16.9206i | −0.394166 | + | 1.72695i | ||||
\(97\) | −13.4578 | − | 10.7322i | −1.36643 | − | 1.08969i | −0.986337 | − | 0.164742i | \(-0.947321\pi\) |
−0.380092 | − | 0.924949i | \(-0.624108\pi\) | |||||||
\(98\) | 10.0823 | − | 2.30121i | 1.01846 | − | 0.232458i | ||||
\(99\) | − | 20.1379i | − | 2.02393i | ||||||
\(100\) | −3.49422 | − | 15.3092i | −0.349422 | − | 1.53092i | ||||
\(101\) | 2.70725 | − | 5.62167i | 0.269382 | − | 0.559377i | −0.721766 | − | 0.692137i | \(-0.756670\pi\) |
0.991148 | + | 0.132759i | \(0.0423838\pi\) | |||||||
\(102\) | 14.4455 | − | 29.9963i | 1.43031 | − | 2.97008i | ||||
\(103\) | −2.93961 | − | 12.8793i | −0.289648 | − | 1.26903i | −0.885010 | − | 0.465573i | \(-0.845848\pi\) |
0.595362 | − | 0.803458i | \(-0.297009\pi\) | |||||||
\(104\) | − | 1.04944i | − | 0.102906i | ||||||
\(105\) | −0.250379 | + | 0.0571473i | −0.0244345 | + | 0.00557700i | ||||
\(106\) | 3.17153 | + | 2.52921i | 0.308046 | + | 0.245658i | ||||
\(107\) | −2.06237 | + | 9.03585i | −0.199377 | + | 0.873529i | 0.771931 | + | 0.635706i | \(0.219291\pi\) |
−0.971309 | + | 0.237823i | \(0.923566\pi\) | |||||||
\(108\) | 18.0054 | + | 4.10961i | 1.73257 | + | 0.395447i | ||||
\(109\) | 3.58844 | + | 4.49976i | 0.343710 | + | 0.430999i | 0.923401 | − | 0.383838i | \(-0.125398\pi\) |
−0.579690 | + | 0.814837i | \(0.696826\pi\) | |||||||
\(110\) | 0.469851 | + | 0.226268i | 0.0447985 | + | 0.0215738i | ||||
\(111\) | −13.7450 | + | 6.61926i | −1.30462 | + | 0.628272i | ||||
\(112\) | 0.398242 | − | 0.499380i | 0.0376304 | − | 0.0471870i | ||||
\(113\) | −6.30333 | + | 5.02674i | −0.592968 | + | 0.472876i | −0.873404 | − | 0.486997i | \(-0.838092\pi\) |
0.280436 | + | 0.959873i | \(0.409521\pi\) | |||||||
\(114\) | 9.64503 | + | 20.0281i | 0.903340 | + | 1.87581i | ||||
\(115\) | −0.0133237 | −0.00124245 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 2.05280 | 0.189782 | ||||||||
\(118\) | −1.03526 | − | 2.14975i | −0.0953038 | − | 0.197900i | ||||
\(119\) | −6.31163 | + | 5.03336i | −0.578586 | + | 0.461407i | ||||
\(120\) | −0.265646 | + | 0.333109i | −0.0242500 | + | 0.0304086i | ||||
\(121\) | 4.31007 | − | 2.07562i | 0.391825 | − | 0.188693i | ||||
\(122\) | −6.51642 | − | 3.13814i | −0.589969 | − | 0.284114i | ||||
\(123\) | −2.59097 | − | 3.24897i | −0.233620 | − | 0.292950i | ||||
\(124\) | −13.2308 | − | 3.01985i | −1.18817 | − | 0.271191i | ||||
\(125\) | −0.128758 | + | 0.564127i | −0.0115165 | + | 0.0504570i | ||||
\(126\) | −14.0374 | − | 11.1944i | −1.25055 | − | 0.997278i | ||||
\(127\) | −17.1331 | + | 3.91051i | −1.52031 | + | 0.347002i | −0.899487 | − | 0.436947i | \(-0.856060\pi\) |
−0.620826 | + | 0.783948i | \(0.713203\pi\) | |||||||
\(128\) | − | 17.3469i | − | 1.53327i | ||||||
\(129\) | 4.09791 | + | 17.9541i | 0.360801 | + | 1.58077i | ||||
\(130\) | −0.0230652 | + | 0.0478954i | −0.00202295 | + | 0.00420070i | ||||
\(131\) | 1.45261 | − | 3.01638i | 0.126915 | − | 0.263542i | −0.827823 | − | 0.560989i | \(-0.810421\pi\) |
0.954738 | + | 0.297447i | \(0.0961352\pi\) | |||||||
\(132\) | 7.89191 | + | 34.5767i | 0.686903 | + | 3.00952i | ||||
\(133\) | − | 5.39014i | − | 0.467385i | ||||||
\(134\) | 24.0381 | − | 5.48653i | 2.07657 | − | 0.473964i | ||||
\(135\) | −0.265945 | − | 0.212084i | −0.0228889 | − | 0.0182533i | ||||
\(136\) | −2.98022 | + | 13.0572i | −0.255552 | + | 1.11964i | ||||
\(137\) | −5.38219 | − | 1.22845i | −0.459831 | − | 0.104953i | −0.0136709 | − | 0.999907i | \(-0.504352\pi\) |
−0.446160 | + | 0.894953i | \(0.647209\pi\) | |||||||
\(138\) | −0.924498 | − | 1.15928i | −0.0786985 | − | 0.0986848i | ||||
\(139\) | 0.538337 | + | 0.259249i | 0.0456612 | + | 0.0219893i | 0.456575 | − | 0.889685i | \(-0.349076\pi\) |
−0.410914 | + | 0.911674i | \(0.634790\pi\) | |||||||
\(140\) | 0.255994 | − | 0.123280i | 0.0216354 | − | 0.0104191i | ||||
\(141\) | −16.9562 | + | 21.2623i | −1.42797 | + | 1.79061i | ||||
\(142\) | −23.8519 | + | 19.0212i | −2.00161 | + | 1.59623i | ||||
\(143\) | 0.698102 | + | 1.44962i | 0.0583783 | + | 0.121224i | ||||
\(144\) | 2.07279 | 0.172733 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −15.9097 | −1.31669 | ||||||||
\(147\) | −5.62044 | − | 11.6710i | −0.463566 | − | 0.962605i | ||||
\(148\) | 13.1960 | − | 10.5235i | 1.08471 | − | 0.865026i | ||||
\(149\) | −3.18546 | + | 3.99444i | −0.260963 | + | 0.327237i | −0.895001 | − | 0.446065i | \(-0.852825\pi\) |
0.634038 | + | 0.773302i | \(0.281396\pi\) | |||||||
\(150\) | −28.9994 | + | 13.9654i | −2.36779 | + | 1.14027i | ||||
\(151\) | −7.02779 | − | 3.38441i | −0.571914 | − | 0.275419i | 0.125493 | − | 0.992094i | \(-0.459949\pi\) |
−0.697407 | + | 0.716675i | \(0.745663\pi\) | |||||||
\(152\) | −5.57543 | − | 6.99137i | −0.452227 | − | 0.567075i | ||||
\(153\) | −25.5410 | − | 5.82958i | −2.06487 | − | 0.471293i | ||||
\(154\) | 3.13142 | − | 13.7197i | 0.252337 | − | 1.10556i | ||||
\(155\) | 0.195424 | + | 0.155845i | 0.0156968 | + | 0.0125178i | ||||
\(156\) | −3.52466 | + | 0.804481i | −0.282199 | + | 0.0644100i | ||||
\(157\) | 18.8577i | 1.50501i | 0.658588 | + | 0.752504i | \(0.271154\pi\) | ||||
−0.658588 | + | 0.752504i | \(0.728846\pi\) | |||||||
\(158\) | 2.41443 | + | 10.5783i | 0.192082 | + | 0.841566i | ||||
\(159\) | 2.20465 | − | 4.57800i | 0.174840 | − | 0.363059i | ||||
\(160\) | −0.153448 | + | 0.318638i | −0.0121311 | + | 0.0251906i | ||||
\(161\) | 0.0800051 | + | 0.350525i | 0.00630528 | + | 0.0276252i | ||||
\(162\) | − | 3.37109i | − | 0.264858i | ||||||
\(163\) | −2.20529 | + | 0.503342i | −0.172731 | + | 0.0394248i | −0.308012 | − | 0.951383i | \(-0.599664\pi\) |
0.135280 | + | 0.990807i | \(0.456806\pi\) | |||||||
\(164\) | 3.59451 | + | 2.86653i | 0.280684 | + | 0.223838i | ||||
\(165\) | 0.145356 | − | 0.636844i | 0.0113159 | − | 0.0495783i | ||||
\(166\) | 18.6233 | + | 4.25065i | 1.44545 | + | 0.329915i | ||||
\(167\) | −7.31660 | − | 9.17472i | −0.566175 | − | 0.709961i | 0.413511 | − | 0.910499i | \(-0.364302\pi\) |
−0.979686 | + | 0.200538i | \(0.935731\pi\) | |||||||
\(168\) | 10.3587 | + | 4.98847i | 0.799188 | + | 0.384869i | ||||
\(169\) | 11.5648 | − | 5.56933i | 0.889602 | − | 0.428410i | ||||
\(170\) | 0.422992 | − | 0.530415i | 0.0324420 | − | 0.0406810i | ||||
\(171\) | 13.6757 | − | 10.9060i | 1.04581 | − | 0.834006i | ||||
\(172\) | −8.84015 | − | 18.3568i | −0.674055 | − | 1.39969i | ||||
\(173\) | −19.2889 | −1.46651 | −0.733254 | − | 0.679954i | \(-0.762000\pi\) | ||||
−0.733254 | + | 0.679954i | \(0.762000\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 7.80457 | 0.589970 | ||||||||
\(176\) | 0.704900 | + | 1.46374i | 0.0531339 | + | 0.110334i | ||||
\(177\) | −2.33669 | + | 1.86345i | −0.175637 | + | 0.140066i | ||||
\(178\) | 1.60150 | − | 2.00822i | 0.120038 | − | 0.150523i | ||||
\(179\) | 0.820230 | − | 0.395002i | 0.0613069 | − | 0.0295238i | −0.402979 | − | 0.915209i | \(-0.632025\pi\) |
0.464286 | + | 0.885685i | \(0.346311\pi\) | |||||||
\(180\) | 0.830743 | + | 0.400065i | 0.0619200 | + | 0.0298191i | ||||
\(181\) | 3.28092 | + | 4.11415i | 0.243869 | + | 0.305802i | 0.888669 | − | 0.458549i | \(-0.151631\pi\) |
−0.644800 | + | 0.764351i | \(0.723059\pi\) | |||||||
\(182\) | 1.39855 | + | 0.319209i | 0.103667 | + | 0.0236613i | ||||
\(183\) | −2.01596 | + | 8.83248i | −0.149024 | + | 0.652916i | ||||
\(184\) | 0.466346 | + | 0.371899i | 0.0343795 | + | 0.0274167i | ||||
\(185\) | −0.303077 | + | 0.0691753i | −0.0222827 | + | 0.00508587i | ||||
\(186\) | 27.8173i | 2.03966i | ||||||||
\(187\) | −4.56915 | − | 20.0188i | −0.334129 | − | 1.46392i | ||||
\(188\) | 13.0547 | − | 27.1083i | 0.952110 | − | 1.97708i | ||||
\(189\) | −3.98266 | + | 8.27007i | −0.289696 | + | 0.601559i | ||||
\(190\) | 0.100797 | + | 0.441618i | 0.00731255 | + | 0.0320384i | ||||
\(191\) | 10.3088i | 0.745920i | 0.927847 | + | 0.372960i | \(0.121657\pi\) | ||||
−0.927847 | + | 0.372960i | \(0.878343\pi\) | |||||||
\(192\) | −36.1067 | + | 8.24113i | −2.60578 | + | 0.594752i | ||||
\(193\) | 2.11874 | + | 1.68964i | 0.152510 | + | 0.121623i | 0.696772 | − | 0.717292i | \(-0.254619\pi\) |
−0.544262 | + | 0.838915i | \(0.683190\pi\) | |||||||
\(194\) | 8.68611 | − | 38.0563i | 0.623626 | − | 2.73229i | ||||
\(195\) | 0.0649183 | + | 0.0148172i | 0.00464889 | + | 0.00106108i | ||||
\(196\) | 8.93554 | + | 11.2048i | 0.638253 | + | 0.800344i | ||||
\(197\) | 13.3151 | + | 6.41220i | 0.948660 | + | 0.456850i | 0.843216 | − | 0.537575i | \(-0.180659\pi\) |
0.105444 | + | 0.994425i | \(0.466374\pi\) | |||||||
\(198\) | 41.1451 | − | 19.8144i | 2.92405 | − | 1.40815i | ||||
\(199\) | 9.35427 | − | 11.7299i | 0.663106 | − | 0.831509i | −0.330571 | − | 0.943781i | \(-0.607241\pi\) |
0.993678 | + | 0.112272i | \(0.0358128\pi\) | |||||||
\(200\) | 10.1230 | − | 8.07285i | 0.715807 | − | 0.570837i | ||||
\(201\) | −13.4002 | − | 27.8258i | −0.945176 | − | 1.96268i | ||||
\(202\) | 14.1498 | 0.995577 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 46.1385 | 3.23034 | ||||||||
\(205\) | −0.0367409 | − | 0.0762933i | −0.00256610 | − | 0.00532856i | ||||
\(206\) | 23.4221 | − | 18.6785i | 1.63190 | − | 1.30139i | ||||
\(207\) | −0.727467 | + | 0.912215i | −0.0505625 | + | 0.0634033i | ||||
\(208\) | −0.149210 | + | 0.0718557i | −0.0103458 | + | 0.00498230i | ||||
\(209\) | 12.3523 | + | 5.94853i | 0.854423 | + | 0.411469i | ||||
\(210\) | −0.363119 | − | 0.455337i | −0.0250576 | − | 0.0314212i | ||||
\(211\) | 11.6728 | + | 2.66425i | 0.803591 | + | 0.183414i | 0.604540 | − | 0.796575i | \(-0.293357\pi\) |
0.199051 | + | 0.979989i | \(0.436214\pi\) | |||||||
\(212\) | −1.25092 | + | 5.48066i | −0.0859139 | + | 0.376413i | ||||
\(213\) | 29.8768 | + | 23.8259i | 2.04712 | + | 1.63252i | ||||
\(214\) | −20.4910 | + | 4.67694i | −1.40074 | + | 0.319709i | ||||
\(215\) | 0.375263i | 0.0255927i | ||||||||
\(216\) | 3.38859 | + | 14.8464i | 0.230564 | + | 1.01017i | ||||
\(217\) | 2.92657 | − | 6.07708i | 0.198668 | − | 0.412539i | ||||
\(218\) | −5.66298 | + | 11.7593i | −0.383545 | + | 0.796440i | ||||
\(219\) | 4.43448 | + | 19.4287i | 0.299655 | + | 1.31287i | ||||
\(220\) | 0.722696i | 0.0487241i | ||||||||
\(221\) | 2.04066 | − | 0.465767i | 0.137270 | − | 0.0313309i | ||||
\(222\) | −27.0485 | − | 21.5705i | −1.81538 | − | 1.44772i | ||||
\(223\) | −2.97539 | + | 13.0360i | −0.199247 | + | 0.872956i | 0.772140 | + | 0.635452i | \(0.219186\pi\) |
−0.971387 | + | 0.237504i | \(0.923671\pi\) | |||||||
\(224\) | 9.30424 | + | 2.12363i | 0.621666 | + | 0.141891i | ||||
\(225\) | 15.7912 | + | 19.8016i | 1.05275 | + | 1.32010i | ||||
\(226\) | −16.4726 | − | 7.93278i | −1.09574 | − | 0.527680i | ||||
\(227\) | 1.91213 | − | 0.920834i | 0.126913 | − | 0.0611179i | −0.369350 | − | 0.929290i | \(-0.620420\pi\) |
0.496263 | + | 0.868172i | \(0.334705\pi\) | |||||||
\(228\) | −19.2072 | + | 24.0851i | −1.27203 | + | 1.59508i | ||||
\(229\) | 21.4141 | − | 17.0772i | 1.41508 | − | 1.12849i | 0.442274 | − | 0.896880i | \(-0.354172\pi\) |
0.972809 | − | 0.231611i | \(-0.0743996\pi\) | |||||||
\(230\) | −0.0131097 | − | 0.0272227i | −0.000864431 | − | 0.00179501i | ||||
\(231\) | −17.6271 | −1.15978 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 17.4774 | 1.14498 | 0.572492 | − | 0.819910i | \(-0.305977\pi\) | ||||
0.572492 | + | 0.819910i | \(0.305977\pi\) | |||||||
\(234\) | 2.01983 | + | 4.19423i | 0.132041 | + | 0.274185i | ||||
\(235\) | −0.433267 | + | 0.345519i | −0.0282632 | + | 0.0225392i | ||||
\(236\) | 2.06164 | − | 2.58521i | 0.134201 | − | 0.168283i | ||||
\(237\) | 12.2452 | − | 5.89696i | 0.795409 | − | 0.383049i | ||||
\(238\) | −16.4943 | − | 7.94322i | −1.06916 | − | 0.514882i | ||||
\(239\) | 10.7567 | + | 13.4885i | 0.695794 | + | 0.872499i | 0.996702 | − | 0.0811549i | \(-0.0258608\pi\) |
−0.300907 | + | 0.953653i | \(0.597289\pi\) | |||||||
\(240\) | 0.0655504 | + | 0.0149615i | 0.00423126 | + | 0.000965758i | ||||
\(241\) | 4.89250 | − | 21.4354i | 0.315153 | − | 1.38078i | −0.530790 | − | 0.847504i | \(-0.678105\pi\) |
0.845943 | − | 0.533273i | \(-0.179038\pi\) | |||||||
\(242\) | 8.48169 | + | 6.76392i | 0.545224 | + | 0.434802i | ||||
\(243\) | 13.0712 | − | 2.98341i | 0.838517 | − | 0.191386i | ||||
\(244\) | − | 10.0232i | − | 0.641667i | ||||||
\(245\) | −0.0587370 | − | 0.257344i | −0.00375257 | − | 0.0164411i | ||||
\(246\) | 4.08884 | − | 8.49057i | 0.260695 | − | 0.541339i | ||||
\(247\) | −0.606378 | + | 1.25916i | −0.0385829 | + | 0.0801182i | ||||
\(248\) | −2.49003 | − | 10.9095i | −0.158117 | − | 0.692756i | ||||
\(249\) | − | 23.9274i | − | 1.51634i | ||||||
\(250\) | −1.27930 | + | 0.291991i | −0.0809098 | + | 0.0184671i | ||||
\(251\) | 7.63906 | + | 6.09194i | 0.482173 | + | 0.384520i | 0.834193 | − | 0.551472i | \(-0.185934\pi\) |
−0.352020 | + | 0.935992i | \(0.614505\pi\) | |||||||
\(252\) | 5.53667 | − | 24.2577i | 0.348777 | − | 1.52809i | ||||
\(253\) | −0.891569 | − | 0.203495i | −0.0560525 | − | 0.0127936i | ||||
\(254\) | −24.8477 | − | 31.1581i | −1.55908 | − | 1.95503i | ||||
\(255\) | −0.765637 | − | 0.368711i | −0.0479461 | − | 0.0230896i | ||||
\(256\) | 11.9491 | − | 5.75439i | 0.746819 | − | 0.359649i | ||||
\(257\) | −9.60314 | + | 12.0420i | −0.599028 | + | 0.751157i | −0.985226 | − | 0.171259i | \(-0.945217\pi\) |
0.386198 | + | 0.922416i | \(0.373788\pi\) | |||||||
\(258\) | −32.6512 | + | 26.0385i | −2.03278 | + | 1.62109i | ||||
\(259\) | 3.63977 | + | 7.55806i | 0.226164 | + | 0.469635i | ||||
\(260\) | −0.0736698 | −0.00456880 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 7.59225 | 0.469050 | ||||||||
\(263\) | −13.4475 | − | 27.9240i | −0.829207 | − | 1.72187i | −0.680195 | − | 0.733032i | \(-0.738105\pi\) |
−0.149013 | − | 0.988835i | \(-0.547610\pi\) | |||||||
\(264\) | −22.8635 | + | 18.2331i | −1.40715 | + | 1.12217i | ||||
\(265\) | 0.0645564 | − | 0.0809512i | 0.00396567 | − | 0.00497279i | ||||
\(266\) | 11.0130 | − | 5.30357i | 0.675249 | − | 0.325183i | ||||
\(267\) | −2.89880 | − | 1.39599i | −0.177404 | − | 0.0854332i | ||||
\(268\) | 21.3040 | + | 26.7144i | 1.30135 | + | 1.63184i | ||||
\(269\) | 13.5076 | + | 3.08301i | 0.823571 | + | 0.187975i | 0.613483 | − | 0.789708i | \(-0.289768\pi\) |
0.210088 | + | 0.977683i | \(0.432625\pi\) | |||||||
\(270\) | 0.171650 | − | 0.752050i | 0.0104463 | − | 0.0457683i | ||||
\(271\) | −20.9829 | − | 16.7333i | −1.27462 | − | 1.01648i | −0.998466 | − | 0.0553650i | \(-0.982368\pi\) |
−0.276157 | − | 0.961113i | \(-0.589061\pi\) | |||||||
\(272\) | 2.06053 | − | 0.470303i | 0.124938 | − | 0.0285163i | ||||
\(273\) | − | 1.79686i | − | 0.108751i | ||||||
\(274\) | −2.78581 | − | 12.2054i | −0.168297 | − | 0.737357i | ||||
\(275\) | −8.61308 | + | 17.8852i | −0.519388 | + | 1.07852i | ||||
\(276\) | 0.891569 | − | 1.85136i | 0.0536662 | − | 0.111439i | ||||
\(277\) | 5.01925 | + | 21.9908i | 0.301578 | + | 1.32130i | 0.867746 | + | 0.497009i | \(0.165568\pi\) |
−0.566168 | + | 0.824290i | \(0.691575\pi\) | |||||||
\(278\) | 1.35500i | 0.0812675i | ||||||||
\(279\) | 21.3400 | − | 4.87073i | 1.27759 | − | 0.291603i | ||||
\(280\) | 0.183169 | + | 0.146072i | 0.0109464 | + | 0.00872948i | ||||
\(281\) | 0.734334 | − | 3.21733i | 0.0438067 | − | 0.191930i | −0.948290 | − | 0.317405i | \(-0.897188\pi\) |
0.992097 | + | 0.125475i | \(0.0400456\pi\) | |||||||
\(282\) | −60.1264 | − | 13.7235i | −3.58048 | − | 0.817220i | ||||
\(283\) | 11.0162 | + | 13.8139i | 0.654844 | + | 0.821149i | 0.992771 | − | 0.120024i | \(-0.0382970\pi\) |
−0.337927 | + | 0.941172i | \(0.609726\pi\) | |||||||
\(284\) | −38.0912 | − | 18.3438i | −2.26030 | − | 1.08850i | ||||
\(285\) | 0.511205 | − | 0.246183i | 0.0302812 | − | 0.0145826i | ||||
\(286\) | −2.27494 | + | 2.85268i | −0.134520 | + | 0.168683i | ||||
\(287\) | −1.78653 | + | 1.42471i | −0.105456 | + | 0.0840980i | ||||
\(288\) | 13.4375 | + | 27.9033i | 0.791814 | + | 1.64422i | ||||
\(289\) | −9.71265 | −0.571332 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −48.8951 | −2.86628 | ||||||||
\(292\) | −9.56621 | − | 19.8644i | −0.559820 | − | 1.16248i | ||||
\(293\) | 10.5814 | − | 8.43842i | 0.618175 | − | 0.492978i | −0.263610 | − | 0.964629i | \(-0.584913\pi\) |
0.881785 | + | 0.471651i | \(0.156342\pi\) | |||||||
\(294\) | 18.3156 | − | 22.9670i | 1.06819 | − | 1.33946i | ||||
\(295\) | −0.0548710 | + | 0.0264245i | −0.00319471 | + | 0.00153849i | ||||
\(296\) | 12.5389 | + | 6.03841i | 0.728808 | + | 0.350976i | ||||
\(297\) | −14.5568 | − | 18.2536i | −0.844670 | − | 1.05918i | ||||
\(298\) | −11.2956 | − | 2.57815i | −0.654337 | − | 0.149348i | ||||
\(299\) | 0.0207437 | − | 0.0908843i | 0.00119964 | − | 0.00525597i | ||||
\(300\) | −34.8736 | − | 27.8108i | −2.01343 | − | 1.60566i | ||||
\(301\) | 9.87254 | − | 2.25334i | 0.569044 | − | 0.129881i | ||||
\(302\) | − | 17.6890i | − | 1.01789i | ||||||
\(303\) | −3.94395 | − | 17.2796i | −0.226574 | − | 0.992687i | ||||
\(304\) | −0.612283 | + | 1.27142i | −0.0351168 | + | 0.0729208i | ||||
\(305\) | −0.0800991 | + | 0.166328i | −0.00458646 | + | 0.00952389i | ||||
\(306\) | −13.2200 | − | 57.9206i | −0.755737 | − | 3.31110i | ||||
\(307\) | − | 6.51865i | − | 0.372039i | −0.982546 | − | 0.186020i | \(-0.940441\pi\) | ||
0.982546 | − | 0.186020i | \(-0.0595588\pi\) | |||||||
\(308\) | 19.0129 | − | 4.33957i | 1.08336 | − | 0.247270i | ||||
\(309\) | −29.3384 | − | 23.3966i | −1.66900 | − | 1.33099i | ||||
\(310\) | −0.126133 | + | 0.552627i | −0.00716390 | + | 0.0313871i | ||||
\(311\) | 23.9306 | + | 5.46199i | 1.35698 | + | 0.309721i | 0.838282 | − | 0.545238i | \(-0.183561\pi\) |
0.518696 | + | 0.854959i | \(0.326418\pi\) | |||||||
\(312\) | −1.85863 | − | 2.33065i | −0.105224 | − | 0.131947i | ||||
\(313\) | −1.77893 | − | 0.856690i | −0.100551 | − | 0.0484230i | 0.382932 | − | 0.923777i | \(-0.374914\pi\) |
−0.483483 | + | 0.875354i | \(0.660629\pi\) | |||||||
\(314\) | −38.5295 | + | 18.5548i | −2.17434 | + | 1.04711i | ||||
\(315\) | −0.285730 | + | 0.358295i | −0.0160991 | + | 0.0201876i | ||||
\(316\) | −11.7561 | + | 9.37516i | −0.661331 | + | 0.527394i | ||||
\(317\) | 12.8780 | + | 26.7415i | 0.723301 | + | 1.50195i | 0.859427 | + | 0.511258i | \(0.170820\pi\) |
−0.136126 | + | 0.990691i | \(0.543465\pi\) | |||||||
\(318\) | 11.5229 | 0.646170 | ||||||||
\(319\) | 0 | 0 | ||||||||
\(320\) | −0.754675 | −0.0421876 | ||||||||
\(321\) | 11.4229 | + | 23.7198i | 0.637562 | + | 1.32391i | ||||
\(322\) | −0.637462 | + | 0.508359i | −0.0355244 | + | 0.0283297i | ||||
\(323\) | 11.1203 | − | 13.9445i | 0.618753 | − | 0.775891i | ||||
\(324\) | 4.20906 | − | 2.02698i | 0.233837 | − | 0.112610i | ||||
\(325\) | −1.82318 | − | 0.877995i | −0.101132 | − | 0.0487024i | ||||
\(326\) | −3.19828 | − | 4.01052i | −0.177136 | − | 0.222122i | ||||
\(327\) | 15.9388 | + | 3.63792i | 0.881415 | + | 0.201177i | ||||
\(328\) | −0.843562 | + | 3.69588i | −0.0465779 | + | 0.204071i | ||||
\(329\) | 11.6917 | + | 9.32378i | 0.644582 | + | 0.514037i | ||||
\(330\) | 1.44420 | − | 0.329630i | 0.0795007 | − | 0.0181455i | ||||
\(331\) | − | 28.3740i | − | 1.55958i | −0.626044 | − | 0.779788i | \(-0.715327\pi\) | ||
0.626044 | − | 0.779788i | \(-0.284673\pi\) | |||||||
\(332\) | 5.89062 | + | 25.8085i | 0.323290 | + | 1.41642i | ||||
\(333\) | −11.8117 | + | 24.5272i | −0.647276 | + | 1.34408i | ||||
\(334\) | 11.5464 | − | 23.9764i | 0.631793 | − | 1.31193i | ||||
\(335\) | −0.140040 | − | 0.613556i | −0.00765121 | − | 0.0335221i | ||||
\(336\) | − | 1.81436i | − | 0.0989814i | ||||||
\(337\) | −3.91654 | + | 0.893924i | −0.213347 | + | 0.0486951i | −0.327859 | − | 0.944727i | \(-0.606327\pi\) |
0.114511 | + | 0.993422i | \(0.463470\pi\) | |||||||
\(338\) | 22.7582 | + | 18.1490i | 1.23788 | + | 0.987177i | ||||
\(339\) | −5.09605 | + | 22.3272i | −0.276779 | + | 1.21265i | ||||
\(340\) | 0.916601 | + | 0.209208i | 0.0497097 | + | 0.0113459i | ||||
\(341\) | 10.6967 | + | 13.4133i | 0.579260 | + | 0.726369i | ||||
\(342\) | 35.7390 | + | 17.2110i | 1.93254 | + | 0.930664i | ||||
\(343\) | −16.2685 | + | 7.83451i | −0.878418 | + | 0.423024i | ||||
\(344\) | 10.4745 | − | 13.1346i | 0.564749 | − | 0.708173i | ||||
\(345\) | −0.0295900 | + | 0.0235972i | −0.00159307 | + | 0.00127043i | ||||
\(346\) | −18.9791 | − | 39.4105i | −1.02032 | − | 2.11872i | ||||
\(347\) | 3.55272 | 0.190720 | 0.0953601 | − | 0.995443i | \(-0.469600\pi\) | ||||
0.0953601 | + | 0.995443i | \(0.469600\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 3.34203 | 0.178895 | 0.0894473 | − | 0.995992i | \(-0.471490\pi\) | ||||
0.0894473 | + | 0.995992i | \(0.471490\pi\) | |||||||
\(350\) | 7.67922 | + | 15.9461i | 0.410471 | + | 0.852353i | ||||
\(351\) | 1.86073 | − | 1.48388i | 0.0993182 | − | 0.0792036i | ||||
\(352\) | −15.1347 | + | 18.9783i | −0.806682 | + | 1.01155i | ||||
\(353\) | 11.2759 | − | 5.43021i | 0.600158 | − | 0.289021i | −0.109032 | − | 0.994038i | \(-0.534775\pi\) |
0.709190 | + | 0.705017i | \(0.249061\pi\) | |||||||
\(354\) | −6.10651 | − | 2.94074i | −0.324557 | − | 0.156299i | ||||
\(355\) | 0.485505 | + | 0.608804i | 0.0257679 | + | 0.0323120i | ||||
\(356\) | 3.47037 | + | 0.792090i | 0.183929 | + | 0.0419807i | ||||
\(357\) | −5.10275 | + | 22.3566i | −0.270066 | + | 1.18324i | ||||
\(358\) | 1.61411 | + | 1.28721i | 0.0853085 | + | 0.0680313i | ||||
\(359\) | −17.9347 | + | 4.09348i | −0.946557 | + | 0.216045i | −0.667821 | − | 0.744322i | \(-0.732773\pi\) |
−0.278736 | + | 0.960368i | \(0.589916\pi\) | |||||||
\(360\) | 0.760284i | 0.0400705i | ||||||||
\(361\) | −1.57798 | − | 6.91360i | −0.0830518 | − | 0.363874i | ||||
\(362\) | −5.17768 | + | 10.7516i | −0.272133 | + | 0.565089i | ||||
\(363\) | 5.89594 | − | 12.2431i | 0.309457 | − | 0.642594i | ||||
\(364\) | 0.442365 | + | 1.93813i | 0.0231862 | + | 0.101585i | ||||
\(365\) | 0.406084i | 0.0212554i | ||||||||
\(366\) | −20.0298 | + | 4.57168i | −1.04698 | + | 0.238965i | ||||
\(367\) | −7.68555 | − | 6.12902i | −0.401182 | − | 0.319932i | 0.402028 | − | 0.915627i | \(-0.368305\pi\) |
−0.803211 | + | 0.595695i | \(0.796877\pi\) | |||||||
\(368\) | 0.0209457 | − | 0.0917693i | 0.00109187 | − | 0.00478381i | ||||
\(369\) | −7.22948 | − | 1.65008i | −0.376352 | − | 0.0858999i | ||||
\(370\) | −0.439546 | − | 0.551173i | −0.0228509 | − | 0.0286541i | ||||
\(371\) | −2.51733 | − | 1.21228i | −0.130693 | − | 0.0629386i | ||||
\(372\) | −34.7320 | + | 16.7261i | −1.80077 | + | 0.867206i | ||||
\(373\) | 13.8288 | − | 17.3407i | 0.716027 | − | 0.897869i | −0.282079 | − | 0.959391i | \(-0.591024\pi\) |
0.998106 | + | 0.0615219i | \(0.0195954\pi\) | |||||||
\(374\) | 36.4059 | − | 29.0328i | 1.88251 | − | 1.50125i | ||||
\(375\) | 0.713153 | + | 1.48088i | 0.0368271 | + | 0.0764722i | ||||
\(376\) | 24.8091 | 1.27943 | ||||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | −20.8159 | −1.07065 | ||||||||
\(379\) | 3.77488 | + | 7.83863i | 0.193903 | + | 0.402643i | 0.975140 | − | 0.221592i | \(-0.0711252\pi\) |
−0.781237 | + | 0.624235i | \(0.785411\pi\) | |||||||
\(380\) | −0.490787 | + | 0.391390i | −0.0251768 | + | 0.0200779i | ||||
\(381\) | −31.1241 | + | 39.0284i | −1.59454 | + | 1.99949i | ||||
\(382\) | −21.0627 | + | 10.1432i | −1.07766 | + | 0.518974i | ||||
\(383\) | 4.58252 | + | 2.20682i | 0.234156 | + | 0.112763i | 0.547283 | − | 0.836948i | \(-0.315662\pi\) |
−0.313127 | + | 0.949711i | \(0.601377\pi\) | |||||||
\(384\) | −30.7226 | − | 38.5249i | −1.56780 | − | 1.96596i | ||||
\(385\) | −0.350185 | − | 0.0799275i | −0.0178471 | − | 0.00407348i | ||||
\(386\) | −1.36751 | + | 5.99145i | −0.0696044 | + | 0.304957i | ||||
\(387\) | 25.6926 | + | 20.4891i | 1.30603 | + | 1.04152i | ||||
\(388\) | 52.7390 | − | 12.0373i | 2.67742 | − | 0.611103i | ||||
\(389\) | 29.8408i | 1.51299i | 0.654000 | + | 0.756494i | \(0.273090\pi\) | ||||
−0.654000 | + | 0.756494i | \(0.726910\pi\) | |||||||
\(390\) | 0.0336016 | + | 0.147218i | 0.00170148 | + | 0.00745469i | ||||
\(391\) | −0.516189 | + | 1.07188i | −0.0261048 | + | 0.0542071i | ||||
\(392\) | −5.12724 | + | 10.6468i | −0.258965 | + | 0.537746i | ||||
\(393\) | −2.11618 | − | 9.27157i | −0.106747 | − | 0.467689i | ||||
\(394\) | 33.5142i | 1.68842i | ||||||||
\(395\) | 0.270005 | − | 0.0616269i | 0.0135854 | − | 0.00310078i | ||||
\(396\) | 49.4797 | + | 39.4587i | 2.48645 | + | 1.98287i | ||||
\(397\) | 0.650337 | − | 2.84931i | 0.0326395 | − | 0.143003i | −0.955983 | − | 0.293423i | \(-0.905206\pi\) |
0.988622 | + | 0.150420i | \(0.0480627\pi\) | |||||||
\(398\) | 33.1702 | + | 7.57087i | 1.66267 | + | 0.379494i | ||||
\(399\) | −9.54630 | − | 11.9707i | −0.477913 | − | 0.599283i | ||||
\(400\) | −1.84093 | − | 0.886544i | −0.0920464 | − | 0.0443272i | ||||
\(401\) | 18.4165 | − | 8.86892i | 0.919676 | − | 0.442893i | 0.0867208 | − | 0.996233i | \(-0.472361\pi\) |
0.832956 | + | 0.553340i | \(0.186647\pi\) | |||||||
\(402\) | 43.6678 | − | 54.7577i | 2.17795 | − | 2.73107i | ||||
\(403\) | −1.36731 | + | 1.09040i | −0.0681107 | + | 0.0543165i | ||||
\(404\) | 8.50803 | + | 17.6671i | 0.423290 | + | 0.878971i | ||||
\(405\) | −0.0860448 | −0.00427560 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −21.3372 | −1.05764 | ||||||||
\(408\) | 16.5065 | + | 34.2762i | 0.817195 | + | 1.69692i | ||||
\(409\) | −26.2788 | + | 20.9567i | −1.29941 | + | 1.03624i | −0.302873 | + | 0.953031i | \(0.597946\pi\) |
−0.996532 | + | 0.0832103i | \(0.973483\pi\) | |||||||
\(410\) | 0.119729 | − | 0.150136i | 0.00591301 | − | 0.00741468i | ||||
\(411\) | −14.1287 | + | 6.80401i | −0.696916 | + | 0.335617i | ||||
\(412\) | 37.4049 | + | 18.0132i | 1.84281 | + | 0.887448i | ||||
\(413\) | 1.02467 | + | 1.28489i | 0.0504205 | + | 0.0632254i | ||||
\(414\) | −2.57959 | − | 0.588776i | −0.126780 | − | 0.0289367i | ||||
\(415\) | 0.108495 | − | 0.475349i | 0.00532582 | − | 0.0233339i | ||||
\(416\) | −1.93460 | − | 1.54279i | −0.0948516 | − | 0.0756416i | ||||
\(417\) | 1.65471 | − | 0.377677i | 0.0810316 | − | 0.0184949i | ||||
\(418\) | 31.0907i | 1.52070i | ||||||||
\(419\) | −1.67558 | − | 7.34121i | −0.0818576 | − | 0.358642i | 0.917366 | − | 0.398045i | \(-0.130311\pi\) |
−0.999223 | + | 0.0394037i | \(0.987454\pi\) | |||||||
\(420\) | 0.350185 | − | 0.727167i | 0.0170873 | − | 0.0354821i | ||||
\(421\) | −8.84060 | + | 18.3577i | −0.430865 | + | 0.894699i | 0.566631 | + | 0.823972i | \(0.308246\pi\) |
−0.997496 | + | 0.0707278i | \(0.977468\pi\) | |||||||
\(422\) | 6.04184 | + | 26.4710i | 0.294112 | + | 1.28859i | ||||
\(423\) | 48.5289i | 2.35956i | ||||||||
\(424\) | −4.51910 | + | 1.03145i | −0.219467 | + | 0.0500918i | ||||
\(425\) | 20.1907 | + | 16.1015i | 0.979391 | + | 0.781038i | ||||
\(426\) | −19.2835 | + | 84.4865i | −0.934288 | + | 4.09339i | ||||
\(427\) | 4.85677 | + | 1.10853i | 0.235035 | + | 0.0536453i | ||||
\(428\) | −18.1604 | − | 22.7724i | −0.877817 | − | 1.10075i | ||||
\(429\) | 4.11776 | + | 1.98301i | 0.198807 | + | 0.0957405i | ||||
\(430\) | −0.766727 | + | 0.369236i | −0.0369748 | + | 0.0178061i | ||||
\(431\) | 7.37912 | − | 9.25312i | 0.355440 | − | 0.445707i | −0.571678 | − | 0.820478i | \(-0.693707\pi\) |
0.927117 | + | 0.374771i | \(0.122279\pi\) | |||||||
\(432\) | 1.87885 | − | 1.49833i | 0.0903960 | − | 0.0720884i | ||||
\(433\) | 7.41818 | + | 15.4040i | 0.356495 | + | 0.740269i | 0.999676 | − | 0.0254447i | \(-0.00810019\pi\) |
−0.643181 | + | 0.765714i | \(0.722386\pi\) | |||||||
\(434\) | 15.2961 | 0.734235 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −18.0874 | −0.866230 | ||||||||
\(437\) | −0.344652 | − | 0.715677i | −0.0164869 | − | 0.0342355i | ||||
\(438\) | −35.3329 | + | 28.1771i | −1.68827 | + | 1.34635i | ||||
\(439\) | −11.6910 | + | 14.6601i | −0.557982 | + | 0.699688i | −0.978183 | − | 0.207743i | \(-0.933388\pi\) |
0.420201 | + | 0.907431i | \(0.361960\pi\) | |||||||
\(440\) | −0.536889 | + | 0.258552i | −0.0255952 | + | 0.0123260i | ||||
\(441\) | −20.8261 | − | 10.0293i | −0.991721 | − | 0.477588i | ||||
\(442\) | 2.95953 | + | 3.71113i | 0.140770 | + | 0.176520i | ||||
\(443\) | −3.31849 | − | 0.757423i | −0.157666 | − | 0.0359862i | 0.142959 | − | 0.989729i | \(-0.454338\pi\) |
−0.300625 | + | 0.953742i | \(0.597195\pi\) | |||||||
\(444\) | 10.6686 | − | 46.7421i | 0.506308 | − | 2.21828i | ||||
\(445\) | −0.0512586 | − | 0.0408773i | −0.00242989 | − | 0.00193777i | ||||
\(446\) | −29.5624 | + | 6.74742i | −1.39982 | + | 0.319500i | ||||
\(447\) | 14.5127i | 0.686427i | ||||||||
\(448\) | 4.53160 | + | 19.8542i | 0.214098 | + | 0.938024i | ||||
\(449\) | −0.0604326 | + | 0.125490i | −0.00285199 | + | 0.00592222i | −0.902390 | − | 0.430920i | \(-0.858189\pi\) |
0.899538 | + | 0.436843i | \(0.143903\pi\) | |||||||
\(450\) | −24.9204 | + | 51.7477i | −1.17476 | + | 2.43941i | ||||
\(451\) | −1.29331 | − | 5.66638i | −0.0608998 | − | 0.266819i | ||||
\(452\) | − | 25.3371i | − | 1.19176i | ||||||
\(453\) | −21.6017 | + | 4.93044i | −1.01493 | + | 0.231652i | ||||
\(454\) | 3.76284 | + | 3.00077i | 0.176599 | + | 0.140833i | ||||
\(455\) | 0.00814761 | − | 0.0356970i | 0.000381966 | − | 0.00167350i | ||||
\(456\) | −24.7643 | − | 5.65230i | −1.15970 | − | 0.264693i | ||||
\(457\) | −20.0012 | − | 25.0808i | −0.935619 | − | 1.17323i | −0.984669 | − | 0.174433i | \(-0.944191\pi\) |
0.0490501 | − | 0.998796i | \(-0.484381\pi\) | |||||||
\(458\) | 55.9617 | + | 26.9497i | 2.61492 | + | 1.25928i | ||||
\(459\) | −27.3652 | + | 13.1784i | −1.27730 | + | 0.615113i | ||||
\(460\) | 0.0261069 | − | 0.0327370i | 0.00121724 | − | 0.00152637i | ||||
\(461\) | 0.567225 | − | 0.452347i | 0.0264183 | − | 0.0210679i | −0.610192 | − | 0.792254i | \(-0.708908\pi\) |
0.636610 | + | 0.771186i | \(0.280336\pi\) | |||||||
\(462\) | −17.3440 | − | 36.0152i | −0.806916 | − | 1.67558i | ||||
\(463\) | 9.14813 | 0.425150 | 0.212575 | − | 0.977145i | \(-0.431815\pi\) | ||||
0.212575 | + | 0.977145i | \(0.431815\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 0.710019 | 0.0329263 | ||||||||
\(466\) | 17.1967 | + | 35.7093i | 0.796622 | + | 1.65420i | ||||
\(467\) | 23.9742 | − | 19.1188i | 1.10939 | − | 0.884711i | 0.115309 | − | 0.993330i | \(-0.463214\pi\) |
0.994084 | + | 0.108618i | \(0.0346426\pi\) | |||||||
\(468\) | −4.02232 | + | 5.04383i | −0.185932 | + | 0.233151i | ||||
\(469\) | −15.3007 | + | 7.36844i | −0.706521 | + | 0.340243i | ||||
\(470\) | −1.13226 | − | 0.545269i | −0.0522273 | − | 0.0251514i | ||||
\(471\) | 33.3982 | + | 41.8800i | 1.53891 | + | 1.92973i | ||||
\(472\) | 2.65812 | + | 0.606698i | 0.122350 | + | 0.0279256i | ||||
\(473\) | −5.73144 | + | 25.1111i | −0.263532 | + | 1.15461i | ||||
\(474\) | 24.0970 | + | 19.2167i | 1.10681 | + | 0.882652i | ||||
\(475\) | −16.8105 | + | 3.83690i | −0.771321 | + | 0.176049i | ||||
\(476\) | − | 25.3705i | − | 1.16285i | ||||||
\(477\) | −2.01762 | − | 8.83976i | −0.0923804 | − | 0.404745i | ||||
\(478\) | −16.9753 | + | 35.2497i | −0.776434 | + | 1.61228i | ||||
\(479\) | 2.29841 | − | 4.77269i | 0.105017 | − | 0.218070i | −0.841838 | − | 0.539730i | \(-0.818526\pi\) |
0.946855 | + | 0.321660i | \(0.104241\pi\) | |||||||
\(480\) | 0.223545 | + | 0.979413i | 0.0102034 | + | 0.0447039i | ||||
\(481\) | − | 2.17506i | − | 0.0991740i | ||||||
\(482\) | 48.6101 | − | 11.0949i | 2.21413 | − | 0.505361i | ||||
\(483\) | 0.798482 | + | 0.636768i | 0.0363322 | + | 0.0289739i | ||||
\(484\) | −3.34538 | + | 14.6571i | −0.152063 | + | 0.666230i | ||||
\(485\) | −0.971364 | − | 0.221707i | −0.0441074 | − | 0.0100672i | ||||
\(486\) | 18.9569 | + | 23.7712i | 0.859901 | + | 1.07828i | ||||
\(487\) | 3.13680 | + | 1.51060i | 0.142142 | + | 0.0684519i | 0.503603 | − | 0.863935i | \(-0.332008\pi\) |
−0.361461 | + | 0.932387i | \(0.617722\pi\) | |||||||
\(488\) | 7.44618 | − | 3.58589i | 0.337073 | − | 0.162326i | ||||
\(489\) | −4.00615 | + | 5.02355i | −0.181164 | + | 0.227173i | ||||
\(490\) | 0.468003 | − | 0.373220i | 0.0211422 | − | 0.0168604i | ||||
\(491\) | −2.53891 | − | 5.27211i | −0.114580 | − | 0.237927i | 0.835791 | − | 0.549048i | \(-0.185010\pi\) |
−0.950370 | + | 0.311121i | \(0.899295\pi\) | |||||||
\(492\) | 13.0597 | 0.588776 | ||||||||
\(493\) | 0 | 0 | ||||||||
\(494\) | −3.16931 | −0.142594 | ||||||||
\(495\) | −0.505751 | − | 1.05020i | −0.0227318 | − | 0.0472031i | ||||
\(496\) | −1.38063 | + | 1.10101i | −0.0619920 | + | 0.0494370i | ||||
\(497\) | 13.1013 | − | 16.4285i | 0.587673 | − | 0.736919i | ||||
\(498\) | 48.8877 | − | 23.5431i | 2.19071 | − | 1.05499i | ||||
\(499\) | −21.3695 | − | 10.2910i | −0.956630 | − | 0.460689i | −0.110624 | − | 0.993862i | \(-0.535285\pi\) |
−0.846006 | + | 0.533174i | \(0.820999\pi\) | |||||||
\(500\) | −1.13379 | − | 1.42173i | −0.0507047 | − | 0.0635817i | ||||
\(501\) | −32.4981 | − | 7.41747i | −1.45191 | − | 0.331388i | ||||
\(502\) | −4.93051 | + | 21.6020i | −0.220060 | + | 0.964144i | ||||
\(503\) | −15.1176 | − | 12.0559i | −0.674059 | − | 0.537545i | 0.225554 | − | 0.974231i | \(-0.427581\pi\) |
−0.899614 | + | 0.436686i | \(0.856152\pi\) | |||||||
\(504\) | 20.0018 | − | 4.56528i | 0.890950 | − | 0.203354i | ||||
\(505\) | − | 0.361165i | − | 0.0160716i | ||||||
\(506\) | −0.461475 | − | 2.02185i | −0.0205151 | − | 0.0898824i | ||||
\(507\) | 15.8201 | − | 32.8507i | 0.702593 | − | 1.45895i | ||||
\(508\) | 23.9627 | − | 49.7591i | 1.06317 | − | 2.20770i | ||||
\(509\) | −8.64173 | − | 37.8619i | −0.383038 | − | 1.67820i | −0.687903 | − | 0.725803i | \(-0.741468\pi\) |
0.304865 | − | 0.952396i | \(-0.401389\pi\) | |||||||
\(510\) | − | 1.92712i | − | 0.0853342i | ||||||
\(511\) | 10.6834 | − | 2.43841i | 0.472605 | − | 0.107869i | ||||
\(512\) | −3.61039 | − | 2.87919i | −0.159558 | − | 0.127243i | ||||
\(513\) | 4.51264 | − | 19.7712i | 0.199238 | − | 0.872919i | ||||
\(514\) | −34.0527 | − | 7.77230i | −1.50200 | − | 0.342822i | ||||
\(515\) | −0.476757 | − | 0.597835i | −0.0210084 | − | 0.0263437i | ||||
\(516\) | −52.1437 | − | 25.1111i | −2.29550 | − | 1.10545i | ||||
\(517\) | −34.2696 | + | 16.5034i | −1.50717 | + | 0.725817i | ||||
\(518\) | −11.8611 | + | 14.8733i | −0.521146 | + | 0.653497i | ||||
\(519\) | −42.8377 | + | 34.1619i | −1.88037 | + | 1.49954i | ||||
\(520\) | −0.0263561 | − | 0.0547290i | −0.00115579 | − | 0.00240003i | ||||
\(521\) | 33.3472 | 1.46097 | 0.730484 | − | 0.682930i | \(-0.239294\pi\) | ||||
0.730484 | + | 0.682930i | \(0.239294\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 31.8103 | 1.39097 | 0.695484 | − | 0.718542i | \(-0.255190\pi\) | ||||
0.695484 | + | 0.718542i | \(0.255190\pi\) | |||||||
\(524\) | 4.56509 | + | 9.47950i | 0.199427 | + | 0.414114i | ||||
\(525\) | 17.3327 | − | 13.8224i | 0.756463 | − | 0.603259i | ||||
\(526\) | 43.8219 | − | 54.9510i | 1.91073 | − | 2.39598i | ||||
\(527\) | 20.1087 | − | 9.68383i | 0.875948 | − | 0.421834i | ||||
\(528\) | 4.15785 | + | 2.00232i | 0.180947 | + | 0.0871397i | ||||
\(529\) | −14.3072 | − | 17.9407i | −0.622053 | − | 0.780030i | ||||
\(530\) | 0.228917 | + | 0.0522487i | 0.00994350 | + | 0.00226954i | ||||
\(531\) | −1.18676 | + | 5.19952i | −0.0515009 | + | 0.225640i | ||||
\(532\) | 13.2438 | + | 10.5616i | 0.574193 | + | 0.457903i | ||||
\(533\) | 0.577616 | − | 0.131837i | 0.0250193 | − | 0.00571050i | ||||
\(534\) | − | 7.29632i | − | 0.315742i | ||||||
\(535\) | 0.119376 | + | 0.523020i | 0.00516107 | + | 0.0226121i | ||||
\(536\) | −12.2243 | + | 25.3840i | −0.528010 | + | 1.09642i | ||||
\(537\) | 1.12203 | − | 2.32992i | 0.0484192 | − | 0.100543i | ||||
\(538\) | 6.99150 | + | 30.6318i | 0.301425 | + | 1.32063i | ||||
\(539\) | − | 18.1175i | − | 0.780375i | ||||||
\(540\) | 1.04220 | − | 0.237876i | 0.0448492 | − | 0.0102365i | ||||
\(541\) | −30.2883 | − | 24.1541i | −1.30220 | − | 1.03847i | −0.996259 | − | 0.0864142i | \(-0.972459\pi\) |
−0.305936 | − | 0.952052i | \(-0.598969\pi\) | |||||||
\(542\) | 13.5431 | − | 59.3363i | 0.581727 | − | 2.54871i | ||||
\(543\) | 14.5729 | + | 3.32616i | 0.625381 | + | 0.142739i | ||||
\(544\) | 19.6891 | + | 24.6894i | 0.844164 | + | 1.05855i | ||||
\(545\) | 0.300148 | + | 0.144544i | 0.0128569 | + | 0.00619158i | ||||
\(546\) | 3.67130 | − | 1.76800i | 0.157117 | − | 0.0756635i | ||||
\(547\) | 3.73505 | − | 4.68360i | 0.159699 | − | 0.200256i | −0.695544 | − | 0.718484i | \(-0.744836\pi\) |
0.855243 | + | 0.518227i | \(0.173408\pi\) | |||||||
\(548\) | 13.5644 | − | 10.8172i | 0.579441 | − | 0.462089i | ||||
\(549\) | 7.01432 | + | 14.5654i | 0.299364 | + | 0.621636i | ||||
\(550\) | −45.0173 | −1.91954 | ||||||||
\(551\) | 0 | 0 | ||||||||
\(552\) | 1.69434 | 0.0721159 | ||||||||
\(553\) | −3.24260 | − | 6.73332i | −0.137889 | − | 0.286330i | ||||
\(554\) | −39.9923 | + | 31.8928i | −1.69911 | + | 1.35499i | ||||
\(555\) | −0.550573 | + | 0.690397i | −0.0233705 | + | 0.0293057i | ||||
\(556\) | −1.69182 | + | 0.814738i | −0.0717492 | + | 0.0345526i | ||||
\(557\) | 1.69147 | + | 0.814571i | 0.0716700 | + | 0.0345145i | 0.469375 | − | 0.882999i | \(-0.344479\pi\) |
−0.397705 | + | 0.917513i | \(0.630193\pi\) | |||||||
\(558\) | 30.9490 | + | 38.8088i | 1.31018 | + | 1.64291i | ||||
\(559\) | −2.55976 | − | 0.584248i | −0.108266 | − | 0.0247110i | ||||
\(560\) | 0.00822695 | − | 0.0360446i | 0.000347652 | − | 0.00152316i | ||||
\(561\) | −45.6019 | − | 36.3663i | −1.92531 | − | 1.53539i | ||||
\(562\) | 7.29609 | − | 1.66528i | 0.307767 | − | 0.0702458i | ||||
\(563\) | 26.4739i | 1.11574i | 0.829927 | + | 0.557872i | \(0.188382\pi\) | ||||
−0.829927 | + | 0.557872i | \(0.811618\pi\) | |||||||
\(564\) | −19.0182 | − | 83.3241i | −0.800810 | − | 3.50858i | ||||
\(565\) | −0.202479 | + | 0.420452i | −0.00851836 | + | 0.0176886i | ||||
\(566\) | −17.3848 | + | 36.0999i | −0.730738 | + | 1.51739i | ||||
\(567\) | 0.516673 | + | 2.26369i | 0.0216982 | + | 0.0950662i | ||||
\(568\) | − | 34.8605i | − | 1.46271i | ||||||
\(569\) | −12.4646 | + | 2.84495i | −0.522542 | + | 0.119267i | −0.475652 | − | 0.879633i | \(-0.657788\pi\) |
−0.0468893 | + | 0.998900i | \(0.514931\pi\) | |||||||
\(570\) | 1.00599 | + | 0.802249i | 0.0421362 | + | 0.0336025i | ||||
\(571\) | 8.46789 | − | 37.1003i | 0.354370 | − | 1.55260i | −0.412598 | − | 0.910913i | \(-0.635379\pi\) |
0.766968 | − | 0.641685i | \(-0.221764\pi\) | |||||||
\(572\) | −4.92967 | − | 1.12517i | −0.206120 | − | 0.0470456i | ||||
\(573\) | 18.2576 | + | 22.8943i | 0.762722 | + | 0.956423i | ||||
\(574\) | −4.66876 | − | 2.24836i | −0.194870 | − | 0.0938446i | ||||
\(575\) | 1.03625 | − | 0.499033i | 0.0432147 | − | 0.0208111i | ||||
\(576\) | −41.2048 | + | 51.6691i | −1.71687 | + | 2.15288i | ||||
\(577\) | −0.0799466 | + | 0.0637553i | −0.00332822 | + | 0.00265417i | −0.625152 | − | 0.780503i | \(-0.714963\pi\) |
0.621824 | + | 0.783157i | \(0.286392\pi\) | |||||||
\(578\) | −9.55665 | − | 19.8446i | −0.397504 | − | 0.825426i | ||||
\(579\) | 7.69786 | 0.319912 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −13.1571 | −0.545848 | ||||||||
\(582\) | −48.1097 | − | 99.9009i | −1.99421 | − | 4.14103i | ||||
\(583\) | 5.55622 | − | 4.43094i | 0.230115 | − | 0.183511i | ||||
\(584\) | 11.3348 | − | 14.2134i | 0.469038 | − | 0.588156i | ||||
\(585\) | 0.107055 | − | 0.0515549i | 0.00442618 | − | 0.00213153i | ||||
\(586\) | 27.6526 | + | 13.3168i | 1.14232 | + | 0.550112i | ||||
\(587\) | −0.458459 | − | 0.574889i | −0.0189226 | − | 0.0237282i | 0.772280 | − | 0.635282i | \(-0.219116\pi\) |
−0.791203 | + | 0.611554i | \(0.790545\pi\) | |||||||
\(588\) | 39.6889 | + | 9.05874i | 1.63674 | + | 0.373576i | ||||
\(589\) | −3.31602 | + | 14.5284i | −0.136634 | + | 0.598633i | ||||
\(590\) | −0.107979 | − | 0.0861106i | −0.00444544 | − | 0.00354512i | ||||
\(591\) | 40.9272 | − | 9.34136i | 1.68352 | − | 0.384252i | ||||
\(592\) | − | 2.19624i | − | 0.0902647i | ||||||
\(593\) | 9.95904 | + | 43.6334i | 0.408969 | + | 1.79181i | 0.588984 | + | 0.808145i | \(0.299528\pi\) |
−0.180016 | + | 0.983664i | \(0.557615\pi\) | |||||||
\(594\) | 22.9723 | − | 47.7024i | 0.942563 | − | 1.95725i | ||||
\(595\) | −0.202746 | + | 0.421005i | −0.00831176 | + | 0.0172595i | ||||
\(596\) | −3.57284 | − | 15.6536i | −0.146349 | − | 0.641198i | ||||
\(597\) | − | 42.6173i | − | 1.74421i | ||||||
\(598\) | 0.206103 | − | 0.0470416i | 0.00842816 | − | 0.00192367i | ||||
\(599\) | −3.17427 | − | 2.53139i | −0.129697 | − | 0.103430i | 0.556493 | − | 0.830852i | \(-0.312147\pi\) |
−0.686190 | + | 0.727422i | \(0.740718\pi\) | |||||||
\(600\) | 8.18415 | − | 35.8571i | 0.334117 | − | 1.46386i | ||||
\(601\) | −43.3191 | − | 9.88729i | −1.76702 | − | 0.403311i | −0.789433 | − | 0.613837i | \(-0.789625\pi\) |
−0.977588 | + | 0.210525i | \(0.932483\pi\) | |||||||
\(602\) | 14.3179 | + | 17.9541i | 0.583556 | + | 0.731756i | ||||
\(603\) | −49.6535 | − | 23.9118i | −2.02205 | − | 0.973766i | ||||
\(604\) | 22.0861 | − | 10.6361i | 0.898670 | − | 0.432777i | ||||
\(605\) | 0.172645 | − | 0.216490i | 0.00701901 | − | 0.00880156i | ||||
\(606\) | 31.4245 | − | 25.0602i | 1.27653 | − | 1.01800i | ||||
\(607\) | 4.20943 | + | 8.74096i | 0.170855 | + | 0.354785i | 0.968760 | − | 0.247998i | \(-0.0797727\pi\) |
−0.797905 | + | 0.602783i | \(0.794058\pi\) | |||||||
\(608\) | −21.0848 | −0.855100 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −0.418648 | −0.0169506 | ||||||||
\(611\) | −1.68231 | − | 3.49335i | −0.0680590 | − | 0.141326i | ||||
\(612\) | 64.3694 | − | 51.3328i | 2.60198 | − | 2.07501i | ||||
\(613\) | 1.11296 | − | 1.39561i | 0.0449521 | − | 0.0563681i | −0.758847 | − | 0.651269i | \(-0.774237\pi\) |
0.803799 | + | 0.594900i | \(0.202809\pi\) | |||||||
\(614\) | 13.3187 | − | 6.41396i | 0.537500 | − | 0.258846i | ||||
\(615\) | −0.216716 | − | 0.104365i | −0.00873885 | − | 0.00420841i | ||||
\(616\) | 10.0259 | + | 12.5721i | 0.403956 | + | 0.506544i | ||||
\(617\) | −8.49171 | − | 1.93818i | −0.341863 | − | 0.0780280i | 0.0481425 | − | 0.998840i | \(-0.484670\pi\) |
−0.390006 | + | 0.920812i | \(0.627527\pi\) | |||||||
\(618\) | 18.9360 | − | 82.9642i | 0.761719 | − | 3.33731i | ||||
\(619\) | 11.1052 | + | 8.85612i | 0.446357 | + | 0.355957i | 0.820726 | − | 0.571322i | \(-0.193569\pi\) |
−0.374369 | + | 0.927280i | \(0.622141\pi\) | |||||||
\(620\) | −0.765839 | + | 0.174798i | −0.0307568 | + | 0.00702004i | ||||
\(621\) | 1.35272i | 0.0542826i | ||||||||
\(622\) | 12.3864 | + | 54.2685i | 0.496650 | + | 2.17597i | ||||
\(623\) | −0.767621 | + | 1.59398i | −0.0307541 | + | 0.0638615i | ||||
\(624\) | −0.204111 | + | 0.423841i | −0.00817098 | + | 0.0169672i | ||||
\(625\) | −5.55184 | − | 24.3242i | −0.222074 | − | 0.972968i | ||||
\(626\) | − | 4.47759i | − | 0.178961i | ||||||
\(627\) | 37.9677 | − | 8.66588i | 1.51628 | − | 0.346082i | ||||
\(628\) | −46.3342 | − | 36.9503i | −1.84894 | − | 1.47448i | ||||
\(629\) | −6.17675 | + | 27.0621i | −0.246283 | + | 1.07904i | ||||
\(630\) | −1.01320 | − | 0.231256i | −0.0403668 | − | 0.00921345i | ||||
\(631\) | −10.3314 | − | 12.9552i | −0.411287 | − | 0.515738i | 0.532438 | − | 0.846469i | \(-0.321276\pi\) |
−0.943725 | + | 0.330731i | \(0.892705\pi\) | |||||||
\(632\) | −11.1706 | − | 5.37950i | −0.444344 | − | 0.213985i | ||||
\(633\) | 30.6421 | − | 14.7565i | 1.21791 | − | 0.586517i | ||||
\(634\) | −41.9662 | + | 52.6239i | −1.66669 | + | 2.08996i | ||||
\(635\) | −0.795289 | + | 0.634222i | −0.0315601 | + | 0.0251683i | ||||
\(636\) | 6.92850 | + | 14.3872i | 0.274733 | + | 0.570488i | ||||
\(637\) | 1.84685 | 0.0731748 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 68.1903 | 2.69757 | ||||||||
\(640\) | −0.435658 | − | 0.904654i | −0.0172209 | − | 0.0357596i | ||||
\(641\) | −5.70545 | + | 4.54994i | −0.225352 | + | 0.179712i | −0.729657 | − | 0.683814i | \(-0.760320\pi\) |
0.504305 | + | 0.863526i | \(0.331749\pi\) | |||||||
\(642\) | −37.2242 | + | 46.6777i | −1.46912 | + | 1.84222i | ||||
\(643\) | −30.5163 | + | 14.6959i | −1.20345 | + | 0.579550i | −0.924656 | − | 0.380802i | \(-0.875648\pi\) |
−0.278791 | + | 0.960352i | \(0.589934\pi\) | |||||||
\(644\) | −1.01802 | − | 0.490253i | −0.0401156 | − | 0.0193187i | ||||
\(645\) | 0.664616 | + | 0.833402i | 0.0261692 | + | 0.0328152i | ||||
\(646\) | 39.4327 | + | 9.00025i | 1.55146 | + | 0.354110i | ||||
\(647\) | 7.44216 | − | 32.6062i | 0.292581 | − | 1.28188i | −0.588337 | − | 0.808616i | \(-0.700217\pi\) |
0.880919 | − | 0.473267i | \(-0.156926\pi\) | |||||||
\(648\) | 3.01167 | + | 2.40172i | 0.118309 | + | 0.0943487i | ||||
\(649\) | −4.07532 | + | 0.930165i | −0.159970 | + | 0.0365122i | ||||
\(650\) | − | 4.58895i | − | 0.179993i | ||||||
\(651\) | −4.26345 | − | 18.6794i | −0.167098 | − | 0.732103i | ||||
\(652\) | 3.08437 | − | 6.40475i | 0.120793 | − | 0.250829i | ||||
\(653\) | 10.3072 | − | 21.4032i | 0.403353 | − | 0.837571i | −0.596048 | − | 0.802949i | \(-0.703263\pi\) |
0.999400 | − | 0.0346217i | \(-0.0110226\pi\) | |||||||
\(654\) | 8.24988 | + | 36.1451i | 0.322596 | + | 1.41338i | ||||
\(655\) | − | 0.193787i | − | 0.00757189i | ||||||
\(656\) | 0.583241 | − | 0.133121i | 0.0227717 | − | 0.00519750i | ||||
\(657\) | 27.8027 | + | 22.1719i | 1.08469 | + | 0.865010i | ||||
\(658\) | −7.54620 | + | 33.0621i | −0.294182 | + | 1.28889i | ||||
\(659\) | −4.80760 | − | 1.09730i | −0.187278 | − | 0.0427449i | 0.127853 | − | 0.991793i | \(-0.459191\pi\) |
−0.315131 | + | 0.949048i | \(0.602048\pi\) | |||||||
\(660\) | 1.27994 | + | 1.60500i | 0.0498217 | + | 0.0624744i | ||||
\(661\) | 21.1485 | + | 10.1846i | 0.822583 | + | 0.396135i | 0.797328 | − | 0.603546i | \(-0.206246\pi\) |
0.0252546 | + | 0.999681i | \(0.491960\pi\) | |||||||
\(662\) | 57.9729 | − | 27.9183i | 2.25318 | − | 1.08507i | ||||
\(663\) | 3.70709 | − | 4.64854i | 0.143971 | − | 0.180534i | ||||
\(664\) | −17.0656 | + | 13.6094i | −0.662274 | + | 0.528146i | ||||
\(665\) | −0.135370 | − | 0.281099i | −0.00524943 | − | 0.0109006i | ||||
\(666\) | −61.7352 | −2.39219 | ||||||||
\(667\) | 0 | 0 | ||||||||
\(668\) | 36.8790 | 1.42689 | ||||||||
\(669\) | 16.4798 | + | 34.2206i | 0.637145 | + | 1.32304i | ||||
\(670\) | 1.11581 | − | 0.889827i | 0.0431074 | − | 0.0343770i | ||||
\(671\) | −7.90024 | + | 9.90659i | −0.304985 | + | 0.382439i | ||||
\(672\) | 24.4244 | − | 11.7622i | 0.942190 | − | 0.453735i | ||||
\(673\) | 26.9654 | + | 12.9859i | 1.03944 | + | 0.500568i | 0.874139 | − | 0.485675i | \(-0.161426\pi\) |
0.165301 | + | 0.986243i | \(0.447141\pi\) | |||||||
\(674\) | −5.68007 | − | 7.12258i | −0.218788 | − | 0.274352i | ||||
\(675\) | 28.6273 | + | 6.53400i | 1.10187 | + | 0.251494i | ||||
\(676\) | −8.97636 | + | 39.3280i | −0.345244 | + | 1.51261i | ||||
\(677\) | 17.2130 | + | 13.7269i | 0.661550 | + | 0.527568i | 0.895715 | − | 0.444629i | \(-0.146664\pi\) |
−0.234165 | + | 0.972197i | \(0.575236\pi\) | |||||||
\(678\) | −50.6325 | + | 11.5565i | −1.94453 | + | 0.443826i | ||||
\(679\) | 26.8862i | 1.03180i | ||||||||
\(680\) | 0.172503 | + | 0.755787i | 0.00661520 | + | 0.0289831i | ||||
\(681\) | 2.61569 | − | 5.43154i | 0.100234 | − | 0.208137i | ||||
\(682\) | −16.8807 | + | 35.0530i | −0.646394 | + | 1.34225i | ||||
\(683\) | 1.02740 | + | 4.50134i | 0.0393124 | + | 0.172239i | 0.990773 | − | 0.135532i | \(-0.0432742\pi\) |
−0.951461 | + | 0.307771i | \(0.900417\pi\) | |||||||
\(684\) | 54.9715i | 2.10189i | ||||||||
\(685\) | −0.311536 | + | 0.0711061i | −0.0119032 | + | 0.00271682i | ||||
\(686\) | −32.0145 | − | 25.5307i | −1.22232 | − | 0.974766i | ||||
\(687\) | 17.3126 | − | 75.8515i | 0.660517 | − | 2.89391i | ||||
\(688\) | −2.58468 | − | 0.589937i | −0.0985401 | − | 0.0224911i | ||||
\(689\) | 0.451679 | + | 0.566387i | 0.0172076 | + | 0.0215776i | ||||
\(690\) | −0.0773278 | − | 0.0372391i | −0.00294382 | − | 0.00141767i | ||||
\(691\) | 32.2059 | − | 15.5096i | 1.22517 | − | 0.590011i | 0.294424 | − | 0.955675i | \(-0.404872\pi\) |
0.930747 | + | 0.365663i | \(0.119158\pi\) | |||||||
\(692\) | 37.7952 | − | 47.3937i | 1.43676 | − | 1.80164i | ||||
\(693\) | −24.5922 | + | 19.6116i | −0.934179 | + | 0.744983i | ||||
\(694\) | 3.49566 | + | 7.25882i | 0.132694 | + | 0.275541i | ||||
\(695\) | 0.0345855 | 0.00131190 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −7.56111 | −0.286398 | ||||||||
\(698\) | 3.28835 | + | 6.82833i | 0.124466 | + | 0.258456i | ||||
\(699\) | 38.8147 | − | 30.9537i | 1.46810 | − | 1.17077i | ||||
\(700\) | −15.2925 | + | 19.1762i | −0.578002 | + | 0.724791i | ||||
\(701\) | −3.28371 | + | 1.58135i | −0.124024 | + | 0.0597269i | −0.494867 | − | 0.868969i | \(-0.664783\pi\) |
0.370843 | + | 0.928696i | \(0.379069\pi\) | |||||||
\(702\) | 4.86266 | + | 2.34173i | 0.183529 | + | 0.0883830i | ||||
\(703\) | −11.5555 | − | 14.4902i | −0.435826 | − | 0.546508i | ||||
\(704\) | −50.4997 | − | 11.5262i | −1.90328 | − | 0.434411i | ||||
\(705\) | −0.350283 | + | 1.53469i | −0.0131924 | + | 0.0577997i | ||||
\(706\) | 22.1897 | + | 17.6957i | 0.835120 | + | 0.665986i | ||||
\(707\) | −9.50163 | + | 2.16869i | −0.357346 | + | 0.0815618i | ||||
\(708\) | − | 9.39266i | − | 0.352998i | ||||||
\(709\) | −4.67094 | − | 20.4647i | −0.175421 | − | 0.768569i | −0.983707 | − | 0.179779i | \(-0.942462\pi\) |
0.808286 | − | 0.588790i | \(-0.200395\pi\) | |||||||
\(710\) | −0.766183 | + | 1.59100i | −0.0287543 | + | 0.0597090i | ||||
\(711\) | 10.5228 | − | 21.8508i | 0.394635 | − | 0.819468i | ||||
\(712\) | 0.653120 | + | 2.86151i | 0.0244767 | + | 0.107240i | ||||
\(713\) | − | 0.994013i | − | 0.0372261i | ||||||
\(714\) | −50.6992 | + | 11.5718i | −1.89737 | + | 0.433062i | ||||
\(715\) | 0.0728129 | + | 0.0580664i | 0.00272305 | + | 0.00217156i | ||||
\(716\) | −0.636644 | + | 2.78932i | −0.0237925 | + | 0.104242i | ||||
\(717\) | 47.7780 | + | 10.9050i | 1.78430 | + | 0.407256i | ||||
\(718\) | −26.0103 | − | 32.6159i | −0.970696 | − | 1.21721i | ||||
\(719\) | −21.8511 | − | 10.5229i | −0.814908 | − | 0.392439i | −0.0204747 | − | 0.999790i | \(-0.506518\pi\) |
−0.794433 | + | 0.607351i | \(0.792232\pi\) | |||||||
\(720\) | 0.108097 | − | 0.0520570i | 0.00402855 | − | 0.00194005i | ||||
\(721\) | −12.8652 | + | 16.1325i | −0.479126 | + | 0.600805i | ||||
\(722\) | 12.5730 | − | 10.0266i | 0.467919 | − | 0.373153i | ||||
\(723\) | −27.0981 | − | 56.2697i | −1.00779 | − | 2.09269i | ||||
\(724\) | −16.5374 | −0.614607 | ||||||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 30.8159 | 1.14368 | ||||||||
\(727\) | 13.4225 | + | 27.8721i | 0.497813 | + | 1.03372i | 0.986877 | + | 0.161472i | \(0.0516242\pi\) |
−0.489064 | + | 0.872248i | \(0.662661\pi\) | |||||||
\(728\) | −1.28157 | + | 1.02202i | −0.0474980 | + | 0.0378784i | ||||
\(729\) | 26.5258 | − | 33.2623i | 0.982437 | − | 1.23194i | ||||
\(730\) | −0.829700 | + | 0.399562i | −0.0307086 | + | 0.0147885i | ||||
\(731\) | 30.1894 | + | 14.5385i | 1.11660 | + | 0.537724i | ||||
\(732\) | −17.7517 | − | 22.2599i | −0.656121 | − | 0.822749i | ||||
\(733\) | 18.0459 | + | 4.11885i | 0.666540 | + | 0.152133i | 0.542386 | − | 0.840130i | \(-0.317521\pi\) |
0.124154 | + | 0.992263i | \(0.460378\pi\) | |||||||
\(734\) | 4.96052 | − | 21.7335i | 0.183096 | − | 0.802197i | ||||
\(735\) | −0.586219 | − | 0.467494i | −0.0216230 | − | 0.0172438i | ||||
\(736\) | 1.37116 | − | 0.312958i | 0.0505416 | − | 0.0115358i | ||||
\(737\) | − | 43.1955i | − | 1.59113i | ||||||
\(738\) | −3.74197 | − | 16.3946i | −0.137744 | − | 0.603495i | ||||
\(739\) | 14.7733 | − | 30.6771i | 0.543446 | − | 1.12848i | −0.430687 | − | 0.902501i | \(-0.641729\pi\) |
0.974133 | − | 0.225976i | \(-0.0725569\pi\) | |||||||
\(740\) | 0.423890 | − | 0.880217i | 0.0155825 | − | 0.0323574i | ||||
\(741\) | 0.883377 | + | 3.87033i | 0.0324517 | + | 0.142180i | ||||
\(742\) | − | 6.33614i | − | 0.232607i | ||||||
\(743\) | −33.9537 | + | 7.74972i | −1.24564 | + | 0.284309i | −0.794015 | − | 0.607898i | \(-0.792013\pi\) |
−0.451626 | + | 0.892207i | \(0.649156\pi\) | |||||||
\(744\) | −24.8515 | − | 19.8184i | −0.911100 | − | 0.726578i | ||||
\(745\) | −0.0658056 | + | 0.288313i | −0.00241093 | + | 0.0105630i | ||||
\(746\) | 49.0367 | + | 11.1923i | 1.79536 | + | 0.409780i | ||||
\(747\) | −26.6212 | − | 33.3819i | −0.974017 | − | 1.22138i | ||||
\(748\) | 58.1399 | + | 27.9987i | 2.12581 | + | 1.02373i | ||||
\(749\) | 13.0430 | − | 6.28116i | 0.476579 | − | 0.229509i | ||||
\(750\) | −2.32399 | + | 2.91419i | −0.0848599 | + | 0.106411i | ||||
\(751\) | 37.9882 | − | 30.2946i | 1.38621 | − | 1.10546i | 0.404613 | − | 0.914488i | \(-0.367406\pi\) |
0.981595 | − | 0.190976i | \(-0.0611653\pi\) | |||||||
\(752\) | −1.69869 | − | 3.52737i | −0.0619449 | − | 0.128630i | ||||
\(753\) | 27.7544 | 1.01143 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −0.451501 | −0.0164318 | ||||||||
\(756\) | −12.5162 | − | 25.9902i | −0.455210 | − | 0.945254i | ||||
\(757\) | −23.5267 | + | 18.7619i | −0.855093 | + | 0.681914i | −0.949550 | − | 0.313615i | \(-0.898460\pi\) |
0.0944571 | + | 0.995529i | \(0.469888\pi\) | |||||||
\(758\) | −12.3014 | + | 15.4255i | −0.446807 | + | 0.560278i | ||||
\(759\) | −2.34044 | + | 1.12710i | −0.0849526 | + | 0.0409110i | ||||
\(760\) | −0.466346 | − | 0.224581i | −0.0169162 | − | 0.00814639i | ||||
\(761\) | −6.12807 | − | 7.68435i | −0.222142 | − | 0.278558i | 0.658255 | − | 0.752795i | \(-0.271295\pi\) |
−0.880397 | + | 0.474238i | \(0.842724\pi\) | |||||||
\(762\) | −110.366 | − | 25.1903i | −3.99813 | − | 0.912548i | ||||
\(763\) | 2.00040 | − | 8.76434i | 0.0724194 | − | 0.317290i | ||||
\(764\) | −25.3292 | − | 20.1994i | −0.916379 | − | 0.730788i | ||||
\(765\) | −1.47839 | + | 0.337432i | −0.0534512 | + | 0.0121999i | ||||
\(766\) | 11.5342i | 0.416749i | ||||||||
\(767\) | −0.0948187 | − | 0.415428i | −0.00342370 | − | 0.0150002i | ||||
\(768\) | 16.3457 | − | 33.9423i | 0.589826 | − | 1.22479i | ||||
\(769\) | 13.0057 | − | 27.0067i | 0.468999 | − | 0.973886i | −0.523545 | − | 0.851998i | \(-0.675391\pi\) |
0.992544 | − | 0.121888i | \(-0.0388948\pi\) | |||||||
\(770\) | −0.181255 | − | 0.794132i | −0.00653199 | − | 0.0286185i | ||||
\(771\) | 43.7511i | 1.57566i | ||||||||
\(772\) | −8.30304 | + | 1.89511i | −0.298833 | + | 0.0682066i | ||||
\(773\) | 13.2246 | + | 10.5463i | 0.475657 | + | 0.379323i | 0.831771 | − | 0.555119i | \(-0.187327\pi\) |
−0.356114 | + | 0.934442i | \(0.615899\pi\) | |||||||
\(774\) | −16.5829 | + | 72.6543i | −0.596059 | + | 2.61150i | ||||
\(775\) | −21.0362 | − | 4.80137i | −0.755641 | − | 0.172470i | ||||
\(776\) | 27.8104 | + | 34.8732i | 0.998336 | + | 1.25187i | ||||
\(777\) | 21.4692 | + | 10.3390i | 0.770203 | + | 0.370910i | ||||
\(778\) | −60.9698 | + | 29.3615i | −2.18587 | + | 1.05266i | ||||
\(779\) | 3.14765 | − | 3.94703i | 0.112776 | − | 0.141417i | ||||
\(780\) | −0.163609 | + | 0.130474i | −0.00585815 | + | 0.00467172i | ||||
\(781\) | 23.1897 | + | 48.1538i | 0.829791 | + | 1.72308i | ||||
\(782\) | −2.69792 | −0.0964776 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 1.86483 | 0.0666012 | ||||||||
\(785\) | 0.473600 | + | 0.983440i | 0.0169035 | + | 0.0351005i | ||||
\(786\) | 16.8612 | − | 13.4464i | 0.601419 | − | 0.479616i | ||||
\(787\) | 12.4671 | − | 15.6332i | 0.444404 | − | 0.557265i | −0.508294 | − | 0.861184i | \(-0.669724\pi\) |
0.952698 | + | 0.303919i | \(0.0982951\pi\) | |||||||
\(788\) | −41.8450 | + | 20.1515i | −1.49067 | + | 0.717867i | ||||
\(789\) | −79.3200 | − | 38.1985i | −2.82387 | − | 1.35990i | ||||
\(790\) | 0.391582 | + | 0.491029i | 0.0139319 | + | 0.0174700i | ||||
\(791\) | 12.2772 | + | 2.80219i | 0.436527 | + | 0.0996345i | ||||
\(792\) | −11.6119 | + | 50.8750i | −0.412611 | + | 1.80777i | ||||
\(793\) | −1.00985 | − | 0.805330i | −0.0358609 | − | 0.0285981i | ||||
\(794\) | 6.46152 | − | 1.47480i | 0.229311 | − | 0.0523387i | ||||
\(795\) | − | 0.294114i | − | 0.0104311i | ||||||
\(796\) | 10.4918 | + | 45.9677i | 0.371873 | + | 1.62928i | ||||
\(797\) | −17.4859 | + | 36.3098i | −0.619381 | + | 1.28616i | 0.321336 | + | 0.946965i | \(0.395868\pi\) |
−0.940717 | + | 0.339193i | \(0.889846\pi\) | |||||||
\(798\) | 15.0652 | − | 31.2831i | 0.533301 | − | 1.10741i | ||||
\(799\) | 11.0109 | + | 48.2418i | 0.389537 | + | 1.70667i | ||||
\(800\) | − | 30.5293i | − | 1.07937i | ||||||
\(801\) | −5.59737 | + | 1.27756i | −0.197773 | + | 0.0451404i | ||||
\(802\) | 36.2414 | + | 28.9016i | 1.27973 | + | 1.02055i | ||||
\(803\) | −6.20217 | + | 27.1735i | −0.218870 | + | 0.958932i | ||||
\(804\) | 94.6258 | + | 21.5977i | 3.33720 | + | 0.761693i | ||||
\(805\) | 0.0129755 | + | 0.0162708i | 0.000457328 | + | 0.000573471i | ||||
\(806\) | −3.57322 | − | 1.72077i | −0.125861 | − | 0.0606116i | ||||
\(807\) | 35.4584 | − | 17.0759i | 1.24820 | − | 0.601100i | ||||
\(808\) | −10.0810 | + | 12.6412i | −0.354648 | + | 0.444715i | ||||
\(809\) | −39.1816 | + | 31.2463i | −1.37755 | + | 1.09856i | −0.393768 | + | 0.919210i | \(0.628829\pi\) |
−0.983785 | + | 0.179352i | \(0.942600\pi\) | |||||||
\(810\) | −0.0846628 | − | 0.175804i | −0.00297475 | − | 0.00617713i | ||||
\(811\) | 24.7764 | 0.870017 | 0.435009 | − | 0.900426i | \(-0.356745\pi\) | ||||
0.435009 | + | 0.900426i | \(0.356745\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −76.2357 | −2.67370 | ||||||||
\(814\) | −20.9945 | − | 43.5954i | −0.735856 | − | 1.52802i | ||||
\(815\) | −0.102366 | + | 0.0816341i | −0.00358572 | + | 0.00285952i | ||||
\(816\) | 3.74319 | − | 4.69381i | 0.131038 | − | 0.164316i | ||||
\(817\) | −20.1570 | + | 9.70712i | −0.705206 | + | 0.339609i | ||||
\(818\) | −68.6748 | − | 33.0721i | −2.40116 | − | 1.15634i | ||||
\(819\) | −1.99916 | − | 2.50686i | −0.0698561 | − | 0.0875968i | ||||
\(820\) | 0.259447 | + | 0.0592172i | 0.00906029 | + | 0.00206795i | ||||
\(821\) | −7.91899 | + | 34.6953i | −0.276374 | + | 1.21088i | 0.625965 | + | 0.779851i | \(0.284705\pi\) |
−0.902340 | + | 0.431025i | \(0.858152\pi\) | |||||||
\(822\) | −27.8035 | − | 22.1725i | −0.969758 | − | 0.773356i | ||||
\(823\) | 15.0177 | − | 3.42770i | 0.523485 | − | 0.119482i | 0.0473908 | − | 0.998876i | \(-0.484909\pi\) |
0.476094 | + | 0.879394i | \(0.342052\pi\) | |||||||
\(824\) | 34.2324i | 1.19254i | ||||||||
\(825\) | 12.5476 | + | 54.9747i | 0.436852 | + | 1.91397i | ||||
\(826\) | −1.61704 | + | 3.35782i | −0.0562641 | + | 0.116834i | ||||
\(827\) | −17.9746 | + | 37.3246i | −0.625037 | + | 1.29790i | 0.312467 | + | 0.949929i | \(0.398845\pi\) |
−0.937504 | + | 0.347974i | \(0.886870\pi\) | |||||||
\(828\) | −0.815934 | − | 3.57484i | −0.0283557 | − | 0.124234i | ||||
\(829\) | 4.64043i | 0.161169i | 0.996748 | + | 0.0805844i | \(0.0256787\pi\) | ||||
−0.996748 | + | 0.0805844i | \(0.974321\pi\) | |||||||
\(830\) | 1.07797 | − | 0.246040i | 0.0374169 | − | 0.00854016i | ||||
\(831\) | 50.0941 | + | 39.9487i | 1.73775 | + | 1.38581i | ||||
\(832\) | 1.17495 | − | 5.14781i | 0.0407342 | − | 0.178468i | ||||
\(833\) | −22.9785 | − | 5.24470i | −0.796159 | − | 0.181718i | ||||
\(834\) | 2.39979 | + | 3.00925i | 0.0830980 | + | 0.104202i | ||||
\(835\) | −0.611983 | − | 0.294715i | −0.0211785 | − | 0.0101990i | ||||
\(836\) | −38.8192 | + | 18.6943i | −1.34259 | + | 0.646557i | ||||
\(837\) | 15.8225 | − | 19.8407i | 0.546905 | − | 0.685797i | ||||
\(838\) | 13.3507 | − | 10.6468i | 0.461191 | − | 0.367788i | ||||
\(839\) | −15.3706 | − | 31.9174i | −0.530652 | − | 1.10191i | −0.978203 | − | 0.207652i | \(-0.933418\pi\) |
0.447550 | − | 0.894259i | \(-0.352297\pi\) | |||||||
\(840\) | 0.665493 | 0.0229617 | ||||||||
\(841\) | 0 | 0 | ||||||||
\(842\) | −46.2065 | −1.59238 | ||||||||
\(843\) | −4.06726 | − | 8.44574i | −0.140084 | − | 0.290887i | ||||
\(844\) | −29.4182 | + | 23.4603i | −1.01262 | + | 0.807536i | ||||
\(845\) | 0.463242 | − | 0.580887i | 0.0159360 | − | 0.0199831i | ||||
\(846\) | −99.1528 | + | 47.7495i | −3.40894 | + | 1.64166i | ||||
\(847\) | −6.73216 | − | 3.24204i | −0.231320 | − | 0.111398i | ||||
\(848\) | 0.456077 | + | 0.571902i | 0.0156617 | + | 0.0196392i | ||||
\(849\) | 48.9305 | + | 11.1681i | 1.67929 | + | 0.383287i | ||||
\(850\) | −13.0318 | + | 57.0959i | −0.446986 | + | 1.95837i | ||||
\(851\) | 0.966541 | + | 0.770791i | 0.0331326 | + | 0.0264224i | ||||
\(852\) | −117.083 | + | 26.7234i | −4.01119 | + | 0.915527i | ||||
\(853\) | − | 25.5045i | − | 0.873256i | −0.899642 | − | 0.436628i | \(-0.856173\pi\) | ||
0.899642 | − | 0.436628i | \(-0.143827\pi\) | |||||||
\(854\) | 2.51386 | + | 11.0139i | 0.0860224 | + | 0.376889i | ||||
\(855\) | 0.439300 | − | 0.912215i | 0.0150237 | − | 0.0311971i | ||||
\(856\) | 10.4205 | − | 21.6384i | 0.356165 | − | 0.739585i | ||||
\(857\) | 7.96332 | + | 34.8896i | 0.272022 | + | 1.19181i | 0.907622 | + | 0.419788i | \(0.137896\pi\) |
−0.635600 | + | 0.772018i | \(0.719247\pi\) | |||||||
\(858\) | 10.3644i | 0.353836i | ||||||||
\(859\) | 28.8342 | − | 6.58123i | 0.983812 | − | 0.224549i | 0.299786 | − | 0.954006i | \(-0.403085\pi\) |
0.684026 | + | 0.729458i | \(0.260228\pi\) | |||||||
\(860\) | −0.922039 | − | 0.735301i | −0.0314413 | − | 0.0250736i | ||||
\(861\) | −1.44435 | + | 6.32812i | −0.0492234 | + | 0.215662i | ||||
\(862\) | 26.1663 | + | 5.97229i | 0.891227 | + | 0.203417i | ||||
\(863\) | 25.0679 | + | 31.4341i | 0.853321 | + | 1.07003i | 0.996765 | + | 0.0803718i | \(0.0256108\pi\) |
−0.143444 | + | 0.989658i | \(0.545818\pi\) | |||||||
\(864\) | 32.3503 | + | 15.5791i | 1.10058 | + | 0.530011i | ||||
\(865\) | −1.00593 | + | 0.484430i | −0.0342026 | + | 0.0164711i | ||||
\(866\) | −24.1740 | + | 30.3132i | −0.821465 | + | 1.03008i | ||||
\(867\) | −21.5703 | + | 17.2017i | −0.732566 | + | 0.584202i | ||||
\(868\) | 9.19726 | + | 19.0983i | 0.312175 | + | 0.648239i | ||||
\(869\) | 19.0088 | 0.644831 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 4.40323 | 0.149198 | ||||||||
\(872\) | −6.47096 | − | 13.4371i | −0.219134 | − | 0.455037i | ||||
\(873\) | −68.2151 | + | 54.3997i | −2.30873 | + | 1.84115i | ||||
\(874\) | 1.12313 | − | 1.40836i | 0.0379905 | − | 0.0476386i | ||||
\(875\) | 0.814299 | − | 0.392146i | 0.0275283 | − | 0.0132569i | ||||
\(876\) | −56.4263 | − | 27.1735i | −1.90647 | − | 0.918107i | ||||
\(877\) | −32.4854 | − | 40.7354i | −1.09695 | − | 1.37554i | −0.920278 | − | 0.391266i | \(-0.872037\pi\) |
−0.176675 | − | 0.984269i | \(-0.556534\pi\) | |||||||
\(878\) | −41.4563 | − | 9.46213i | −1.39908 | − | 0.319331i | ||||
\(879\) | 8.55477 | − | 37.4809i | 0.288545 | − | 1.26420i | ||||
\(880\) | 0.0735220 | + | 0.0586318i | 0.00247842 | + | 0.00197648i | ||||
\(881\) | 44.1260 | − | 10.0715i | 1.48664 | − | 0.339316i | 0.599336 | − | 0.800498i | \(-0.295431\pi\) |
0.887306 | + | 0.461181i | \(0.152574\pi\) | |||||||
\(882\) | − | 52.4196i | − | 1.76506i | ||||||
\(883\) | −7.54301 | − | 33.0481i | −0.253842 | − | 1.11216i | −0.927709 | − | 0.373304i | \(-0.878225\pi\) |
0.673867 | − | 0.738853i | \(-0.264632\pi\) | |||||||
\(884\) | −2.85412 | + | 5.92663i | −0.0959943 | + | 0.199334i | ||||
\(885\) | −0.0750605 | + | 0.155865i | −0.00252313 | + | 0.00523934i | ||||
\(886\) | −1.71764 | − | 7.52549i | −0.0577054 | − | 0.252824i | ||||
\(887\) | − | 30.4108i | − | 1.02110i | −0.859850 | − | 0.510548i | \(-0.829443\pi\) | ||
0.859850 | − | 0.510548i | \(-0.170557\pi\) | |||||||
\(888\) | 38.5414 | − | 8.79681i | 1.29336 | − | 0.295202i | ||||
\(889\) | 21.4608 | + | 17.1144i | 0.719771 | + | 0.573999i | ||||
\(890\) | 0.0330841 | − | 0.144951i | 0.00110898 | − | 0.00485876i | ||||
\(891\) | −5.75776 | − | 1.31417i | −0.192892 | − | 0.0440264i | ||||
\(892\) | −26.2000 | − | 32.8538i | −0.877242 | − | 1.10003i | ||||
\(893\) | −29.7669 | − | 14.3350i | −0.996110 | − | 0.479701i | ||||
\(894\) | −29.6519 | + | 14.2796i | −0.991707 | + | 0.477581i | ||||
\(895\) | 0.0328553 | − | 0.0411992i | 0.00109823 | − | 0.00137714i | ||||
\(896\) | −21.1839 | + | 16.8936i | −0.707705 | + | 0.564376i | ||||
\(897\) | −0.114893 | − | 0.238579i | −0.00383618 | − | 0.00796591i | ||||
\(898\) | −0.315858 | −0.0105403 | ||||||||
\(899\) | 0 | 0 | ||||||||
\(900\) | −79.5951 | −2.65317 | ||||||||
\(901\) | −4.01137 | − | 8.32969i | −0.133638 | − | 0.277502i | ||||
\(902\) | 10.3048 | − | 8.21783i | 0.343113 | − | 0.273624i | ||||
\(903\) | 17.9346 | − | 22.4892i | 0.596825 | − | 0.748395i | ||||
\(904\) | 18.8229 | − | 9.06461i | 0.626039 | − | 0.301485i | ||||
\(905\) | 0.274427 | + | 0.132157i | 0.00912225 | + | 0.00439304i | ||||
\(906\) | −31.3284 | − | 39.2846i | −1.04082 | − | 1.30514i | ||||
\(907\) | −15.4842 | − | 3.53418i | −0.514146 | − | 0.117350i | −0.0424273 | − | 0.999100i | \(-0.513509\pi\) |
−0.471719 | + | 0.881749i | \(0.656366\pi\) | |||||||
\(908\) | −1.48415 | + | 6.50250i | −0.0492534 | + | 0.215793i | ||||
\(909\) | −24.7273 | − | 19.7194i | −0.820152 | − | 0.654050i | ||||
\(910\) | 0.0809518 | − | 0.0184767i | 0.00268353 | − | 0.000612497i | ||||
\(911\) | − | 24.9672i | − | 0.827199i | −0.910459 | − | 0.413600i | \(-0.864271\pi\) | ||
0.910459 | − | 0.413600i | \(-0.135729\pi\) | |||||||
\(912\) | 0.891979 | + | 3.90802i | 0.0295364 | + | 0.129407i | ||||
\(913\) | 14.5201 | − | 30.1513i | 0.480545 | − | 0.997862i | ||||
\(914\) | 31.5643 | − | 65.5439i | 1.04405 | − | 2.16800i | ||||
\(915\) | 0.116689 | + | 0.511249i | 0.00385762 | + | 0.0169014i | ||||
\(916\) | 86.0768i | 2.84406i | ||||||||
\(917\) | −5.09821 | + | 1.16363i | −0.168358 | + | 0.0384266i | ||||
\(918\) | −53.8513 | − | 42.9450i | −1.77736 | − | 1.41739i | ||||
\(919\) | −2.99598 | + | 13.1263i | −0.0988284 | + | 0.432996i | −1.00000 | 0.000467182i | \(-0.999851\pi\) | |
0.901171 | + | 0.433463i | \(0.142708\pi\) | |||||||
\(920\) | 0.0336603 | + | 0.00768273i | 0.00110975 | + | 0.000253292i | ||||
\(921\) | −11.5450 | − | 14.4769i | −0.380419 | − | 0.477031i | ||||
\(922\) | 1.48234 | + | 0.713856i | 0.0488182 | + | 0.0235096i | ||||
\(923\) | −4.90868 | + | 2.36389i | −0.161571 | + | 0.0778085i | ||||
\(924\) | 34.5391 | − | 43.3106i | 1.13625 | − | 1.42481i | ||||
\(925\) | 20.9808 | − | 16.7317i | 0.689845 | − | 0.550133i | ||||
\(926\) | 9.00120 | + | 18.6912i | 0.295798 | + | 0.614230i | ||||
\(927\) | −66.9616 | −2.19931 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 7.53667 | 0.247270 | 0.123635 | − | 0.992328i | \(-0.460545\pi\) | ||||
0.123635 | + | 0.992328i | \(0.460545\pi\) | |||||||
\(930\) | 0.698615 | + | 1.45069i | 0.0229085 | + | 0.0475700i | ||||
\(931\) | 12.3037 | − | 9.81186i | 0.403237 | − | 0.321571i | ||||
\(932\) | −34.2457 | + | 42.9428i | −1.12176 | + | 1.40664i | ||||
\(933\) | 62.8196 | − | 30.2523i | 2.05662 | − | 0.990417i | ||||
\(934\) | 62.6520 | + | 30.1716i | 2.05004 | + | 0.987246i | ||||
\(935\) | −0.741043 | − | 0.929239i | −0.0242347 | − | 0.0303894i | ||||
\(936\) | −5.18607 | − | 1.18369i | −0.169512 | − | 0.0386900i | ||||
\(937\) | −8.11389 | + | 35.5493i | −0.265069 | + | 1.16134i | 0.650603 | + | 0.759418i | \(0.274516\pi\) |
−0.915672 | + | 0.401926i | \(0.868341\pi\) | |||||||
\(938\) | −30.1099 | − | 24.0119i | −0.983124 | − | 0.784015i | ||||
\(939\) | −5.46799 | + | 1.24803i | −0.178441 | + | 0.0407280i | ||||
\(940\) | − | 1.74158i | − | 0.0568039i | ||||||
\(941\) | −7.82756 | − | 34.2948i | −0.255171 | − | 1.11798i | −0.926345 | − | 0.376677i | \(-0.877067\pi\) |
0.671174 | − | 0.741300i | \(-0.265791\pi\) | |||||||
\(942\) | −52.7062 | + | 109.446i | −1.71726 | + | 3.56593i | ||||
\(943\) | −0.146109 | + | 0.303399i | −0.00475797 | + | 0.00988002i | ||||
\(944\) | −0.0957420 | − | 0.419473i | −0.00311614 | − | 0.0136527i | ||||
\(945\) | 0.531311i | 0.0172836i | ||||||||
\(946\) | −56.9455 | + | 12.9974i | −1.85146 | + | 0.422584i | ||||
\(947\) | 8.12847 | + | 6.48224i | 0.264140 | + | 0.210644i | 0.746600 | − | 0.665274i | \(-0.231685\pi\) |
−0.482460 | + | 0.875918i | \(0.660257\pi\) | |||||||
\(948\) | −9.50442 | + | 41.6416i | −0.308689 | + | 1.35246i | ||||
\(949\) | −2.77000 | − | 0.632233i | −0.0899179 | − | 0.0205232i | ||||
\(950\) | −24.3800 | − | 30.5715i | −0.790991 | − | 0.991871i | ||||
\(951\) | 75.9609 | + | 36.5809i | 2.46320 | + | 1.18622i | ||||
\(952\) | 18.8476 | − | 9.07654i | 0.610855 | − | 0.294172i | ||||
\(953\) | 33.5532 | − | 42.0744i | 1.08690 | − | 1.36292i | 0.160211 | − | 0.987083i | \(-0.448782\pi\) |
0.926684 | − | 0.375841i | \(-0.122646\pi\) | |||||||
\(954\) | 16.0759 | − | 12.8201i | 0.520477 | − | 0.415067i | ||||
\(955\) | 0.258900 | + | 0.537611i | 0.00837780 | + | 0.0173967i | ||||
\(956\) | −54.2189 | −1.75356 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 12.0129 | 0.388119 | ||||||||
\(959\) | 3.74136 | + | 7.76901i | 0.120815 | + | 0.250875i | ||||
\(960\) | −1.67602 | + | 1.33658i | −0.0540932 | + | 0.0431379i | ||||
\(961\) | 7.70139 | − | 9.65724i | 0.248432 | − | 0.311524i | ||||
\(962\) | 4.44401 | − | 2.14012i | 0.143281 | − | 0.0690003i | ||||
\(963\) | 42.3266 | + | 20.3834i | 1.36396 | + | 0.656847i | ||||
\(964\) | 43.0813 | + | 54.0222i | 1.38756 | + | 1.73994i | ||||
\(965\) | 0.152928 | + | 0.0349048i | 0.00492292 | + | 0.00112362i | ||||
\(966\) | −0.515368 | + | 2.25797i | −0.0165817 | + | 0.0726491i | ||||
\(967\) | −9.29965 | − | 7.41623i | −0.299057 | − | 0.238490i | 0.462452 | − | 0.886644i | \(-0.346970\pi\) |
−0.761509 | + | 0.648154i | \(0.775541\pi\) | |||||||
\(968\) | −12.0855 | + | 2.75844i | −0.388444 | + | 0.0886598i | ||||
\(969\) | − | 50.6634i | − | 1.62754i | ||||||
\(970\) | −0.502776 | − | 2.20281i | −0.0161432 | − | 0.0707279i | ||||
\(971\) | 21.7332 | − | 45.1295i | 0.697453 | − | 1.44828i | −0.187342 | − | 0.982295i | \(-0.559987\pi\) |
0.884795 | − | 0.465981i | \(-0.154298\pi\) | |||||||
\(972\) | −18.2817 | + | 37.9623i | −0.586385 | + | 1.21764i | ||||
\(973\) | −0.207675 | − | 0.909886i | −0.00665777 | − | 0.0291696i | ||||
\(974\) | 7.89535i | 0.252983i | ||||||||
\(975\) | −5.60398 | + | 1.27907i | −0.179471 | + | 0.0409631i | ||||
\(976\) | −1.01969 | − | 0.813172i | −0.0326393 | − | 0.0260290i | ||||
\(977\) | −3.07336 | + | 13.4653i | −0.0983257 | + | 0.430793i | −0.999999 | − | 0.00162566i | \(-0.999483\pi\) |
0.901673 | + | 0.432419i | \(0.142340\pi\) | |||||||
\(978\) | −14.2058 | − | 3.24238i | −0.454251 | − | 0.103680i | ||||
\(979\) | −2.80569 | − | 3.51822i | −0.0896701 | − | 0.112443i | ||||
\(980\) | 0.747396 | + | 0.359927i | 0.0238747 | + | 0.0114974i | ||||
\(981\) | 26.2842 | − | 12.6578i | 0.839188 | − | 0.404132i | ||||
\(982\) | 8.27368 | − | 10.3749i | 0.264024 | − | 0.331075i | ||||
\(983\) | −9.11248 | + | 7.26696i | −0.290643 | + | 0.231780i | −0.757946 | − | 0.652317i | \(-0.773797\pi\) |
0.467303 | + | 0.884097i | \(0.345226\pi\) | |||||||
\(984\) | 4.67223 | + | 9.70199i | 0.148945 | + | 0.309288i | ||||
\(985\) | 0.855428 | 0.0272562 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 42.4784 | 1.35210 | ||||||||
\(988\) | −1.90565 | − | 3.95713i | −0.0606268 | − | 0.125893i | ||||
\(989\) | 1.16675 | − | 0.930449i | 0.0371004 | − | 0.0295866i | ||||
\(990\) | 1.64811 | − | 2.06667i | 0.0523805 | − | 0.0656831i | ||||
\(991\) | 6.24844 | − | 3.00909i | 0.198488 | − | 0.0955869i | −0.331999 | − | 0.943280i | \(-0.607723\pi\) |
0.530488 | + | 0.847693i | \(0.322009\pi\) | |||||||
\(992\) | −23.7719 | − | 11.4479i | −0.754758 | − | 0.363472i | ||||
\(993\) | −50.2522 | − | 63.0143i | −1.59471 | − | 1.99970i | ||||
\(994\) | 46.4571 | + | 10.6035i | 1.47353 | + | 0.336324i | ||||
\(995\) | 0.193242 | − | 0.846647i | 0.00612617 | − | 0.0268405i | ||||
\(996\) | 58.7907 | + | 46.8840i | 1.86285 | + | 1.48558i | ||||
\(997\) | −23.3690 | + | 5.33382i | −0.740103 | + | 0.168924i | −0.575920 | − | 0.817506i | \(-0.695356\pi\) |
−0.164183 | + | 0.986430i | \(0.552499\pi\) | |||||||
\(998\) | − | 53.7872i | − | 1.70260i | ||||||
\(999\) | 7.02314 | + | 30.7704i | 0.222202 | + | 0.973532i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))