Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [605,2,Mod(112,605)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(605, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([5, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("605.112");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 605 = 5 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 605.m (of order \(20\), degree \(8\), 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: | \(4.83094932229\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{20})\) |
Twist minimal: | no (minimal twist has level 55) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 112.2 | ||
Character | \(\chi\) | \(=\) | 605.112 |
Dual form | 605.2.m.d.578.2 |
$q$-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 \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).
\(n\) | \(122\) | \(486\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{1}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.221702 | − | 0.435114i | −0.156767 | − | 0.307672i | 0.799243 | − | 0.601009i | \(-0.205234\pi\) |
−0.956009 | + | 0.293337i | \(0.905234\pi\) | |||||||
\(3\) | 0.178235 | − | 1.12533i | 0.102904 | − | 0.649712i | −0.881284 | − | 0.472587i | \(-0.843320\pi\) |
0.984188 | − | 0.177125i | \(-0.0566798\pi\) | |||||||
\(4\) | 1.03540 | − | 1.42510i | 0.517699 | − | 0.712552i | ||||
\(5\) | −0.207538 | − | 2.22642i | −0.0928139 | − | 0.995683i | ||||
\(6\) | −0.529164 | + | 0.171936i | −0.216030 | + | 0.0701924i | ||||
\(7\) | −2.88051 | + | 0.456227i | −1.08873 | + | 0.172438i | −0.674894 | − | 0.737914i | \(-0.735811\pi\) |
−0.413835 | + | 0.910352i | \(0.635811\pi\) | |||||||
\(8\) | −1.81429 | − | 0.287355i | −0.641447 | − | 0.101595i | ||||
\(9\) | 1.61856 | + | 0.525902i | 0.539520 | + | 0.175301i | ||||
\(10\) | −0.922733 | + | 0.583903i | −0.291794 | + | 0.184646i | ||||
\(11\) | 0 | 0 | ||||||||
\(12\) | −1.41917 | − | 1.41917i | −0.409680 | − | 0.409680i | ||||
\(13\) | 2.60754 | − | 1.32861i | 0.723203 | − | 0.368490i | −0.0533216 | − | 0.998577i | \(-0.516981\pi\) |
0.776524 | + | 0.630087i | \(0.216981\pi\) | |||||||
\(14\) | 0.837124 | + | 1.15220i | 0.223731 | + | 0.307939i | ||||
\(15\) | −2.54245 | − | 0.163276i | −0.656459 | − | 0.0421578i | ||||
\(16\) | −0.811484 | − | 2.49749i | −0.202871 | − | 0.624373i | ||||
\(17\) | −4.69392 | − | 2.39167i | −1.13844 | − | 0.580065i | −0.219952 | − | 0.975511i | \(-0.570590\pi\) |
−0.918489 | + | 0.395446i | \(0.870590\pi\) | |||||||
\(18\) | −0.130010 | − | 0.820851i | −0.0306437 | − | 0.193476i | ||||
\(19\) | 3.31646 | − | 2.40955i | 0.760847 | − | 0.552788i | −0.138323 | − | 0.990387i | \(-0.544171\pi\) |
0.899170 | + | 0.437599i | \(0.144171\pi\) | |||||||
\(20\) | −3.38776 | − | 2.00946i | −0.757526 | − | 0.449330i | ||||
\(21\) | 3.32285i | 0.725105i | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −2.12046 | + | 2.12046i | −0.442147 | + | 0.442147i | −0.892733 | − | 0.450586i | \(-0.851215\pi\) |
0.450586 | + | 0.892733i | \(0.351215\pi\) | |||||||
\(24\) | −0.646740 | + | 1.99046i | −0.132015 | + | 0.406301i | ||||
\(25\) | −4.91386 | + | 0.924132i | −0.982771 | + | 0.184826i | ||||
\(26\) | −1.15619 | − | 0.840024i | −0.226748 | − | 0.164742i | ||||
\(27\) | 2.43208 | − | 4.77322i | 0.468054 | − | 0.918607i | ||||
\(28\) | −2.33230 | + | 4.57740i | −0.440763 | + | 0.865047i | ||||
\(29\) | 2.13957 | + | 1.55449i | 0.397307 | + | 0.288661i | 0.768443 | − | 0.639918i | \(-0.221032\pi\) |
−0.371136 | + | 0.928579i | \(0.621032\pi\) | |||||||
\(30\) | 0.492622 | + | 1.14246i | 0.0899401 | + | 0.208583i | ||||
\(31\) | −2.08297 | + | 6.41071i | −0.374112 | + | 1.15140i | 0.569964 | + | 0.821670i | \(0.306957\pi\) |
−0.944076 | + | 0.329728i | \(0.893043\pi\) | |||||||
\(32\) | −3.50456 | + | 3.50456i | −0.619524 | + | 0.619524i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 2.57262i | 0.441201i | ||||||||
\(35\) | 1.61357 | + | 6.31852i | 0.272743 | + | 1.06803i | ||||
\(36\) | 2.42532 | − | 1.76210i | 0.404220 | − | 0.293683i | ||||
\(37\) | −0.181976 | − | 1.14895i | −0.0299167 | − | 0.188887i | 0.968204 | − | 0.250161i | \(-0.0804836\pi\) |
−0.998121 | + | 0.0612742i | \(0.980484\pi\) | |||||||
\(38\) | −1.78369 | − | 0.908835i | −0.289353 | − | 0.147433i | ||||
\(39\) | −1.03037 | − | 3.17117i | −0.164992 | − | 0.507793i | ||||
\(40\) | −0.263237 | + | 4.09899i | −0.0416215 | + | 0.648108i | ||||
\(41\) | −2.08980 | − | 2.87636i | −0.326372 | − | 0.449212i | 0.614028 | − | 0.789285i | \(-0.289548\pi\) |
−0.940399 | + | 0.340073i | \(0.889548\pi\) | |||||||
\(42\) | 1.44582 | − | 0.736681i | 0.223094 | − | 0.113672i | ||||
\(43\) | 5.07292 | + | 5.07292i | 0.773613 | + | 0.773613i | 0.978736 | − | 0.205123i | \(-0.0657595\pi\) |
−0.205123 | + | 0.978736i | \(0.565759\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0.834964 | − | 3.71273i | 0.124469 | − | 0.553461i | ||||
\(46\) | 1.39275 | + | 0.452533i | 0.205350 | + | 0.0667224i | ||||
\(47\) | 3.63636 | + | 0.575943i | 0.530417 | + | 0.0840099i | 0.415898 | − | 0.909411i | \(-0.363467\pi\) |
0.114519 | + | 0.993421i | \(0.463467\pi\) | |||||||
\(48\) | −2.95515 | + | 0.468049i | −0.426539 | + | 0.0675571i | ||||
\(49\) | 1.43178 | − | 0.465213i | 0.204540 | − | 0.0664590i | ||||
\(50\) | 1.49151 | + | 1.93320i | 0.210932 | + | 0.273396i | ||||
\(51\) | −3.52805 | + | 4.85594i | −0.494026 | + | 0.679968i | ||||
\(52\) | 0.806440 | − | 5.09166i | 0.111833 | − | 0.706086i | ||||
\(53\) | −0.670880 | − | 1.31668i | −0.0921524 | − | 0.180859i | 0.840330 | − | 0.542076i | \(-0.182361\pi\) |
−0.932482 | + | 0.361217i | \(0.882361\pi\) | |||||||
\(54\) | −2.61609 | −0.356005 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 5.35716 | 0.715881 | ||||||||
\(57\) | −2.12044 | − | 4.16159i | −0.280859 | − | 0.551216i | ||||
\(58\) | 0.202033 | − | 1.27559i | 0.0265282 | − | 0.167493i | ||||
\(59\) | 0.943564 | − | 1.29870i | 0.122842 | − | 0.169077i | −0.743167 | − | 0.669106i | \(-0.766677\pi\) |
0.866009 | + | 0.500029i | \(0.166677\pi\) | |||||||
\(60\) | −2.86514 | + | 3.45420i | −0.369888 | + | 0.445936i | ||||
\(61\) | 6.59851 | − | 2.14398i | 0.844852 | − | 0.274509i | 0.145564 | − | 0.989349i | \(-0.453500\pi\) |
0.699288 | + | 0.714840i | \(0.253500\pi\) | |||||||
\(62\) | 3.25119 | − | 0.514937i | 0.412901 | − | 0.0653971i | ||||
\(63\) | −4.90220 | − | 0.776433i | −0.617619 | − | 0.0978213i | ||||
\(64\) | −2.69314 | − | 0.875053i | −0.336642 | − | 0.109382i | ||||
\(65\) | −3.49920 | − | 5.52974i | −0.434023 | − | 0.685880i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 1.31471 | + | 1.31471i | 0.160617 | + | 0.160617i | 0.782840 | − | 0.622223i | \(-0.213770\pi\) |
−0.622223 | + | 0.782840i | \(0.713770\pi\) | |||||||
\(68\) | −8.26845 | + | 4.21298i | −1.00270 | + | 0.510899i | ||||
\(69\) | 2.00829 | + | 2.76417i | 0.241770 | + | 0.332767i | ||||
\(70\) | 2.39155 | − | 2.10291i | 0.285844 | − | 0.251346i | ||||
\(71\) | 0.887847 | + | 2.73251i | 0.105368 | + | 0.324289i | 0.989817 | − | 0.142348i | \(-0.0454653\pi\) |
−0.884449 | + | 0.466638i | \(0.845465\pi\) | |||||||
\(72\) | −2.78541 | − | 1.41924i | −0.328264 | − | 0.167259i | ||||
\(73\) | −2.31553 | − | 14.6197i | −0.271012 | − | 1.71110i | −0.629025 | − | 0.777385i | \(-0.716546\pi\) |
0.358013 | − | 0.933716i | \(-0.383454\pi\) | |||||||
\(74\) | −0.459581 | + | 0.333905i | −0.0534252 | + | 0.0388157i | ||||
\(75\) | 0.164135 | + | 5.69444i | 0.0189526 | + | 0.657538i | ||||
\(76\) | − | 7.22113i | − | 0.828321i | ||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −1.15138 | + | 1.15138i | −0.130368 | + | 0.130368i | ||||
\(79\) | 4.71123 | − | 14.4997i | 0.530055 | − | 1.63134i | −0.224043 | − | 0.974579i | \(-0.571926\pi\) |
0.754098 | − | 0.656762i | \(-0.228074\pi\) | |||||||
\(80\) | −5.39204 | + | 2.32503i | −0.602848 | + | 0.259946i | ||||
\(81\) | −0.807503 | − | 0.586685i | −0.0897226 | − | 0.0651873i | ||||
\(82\) | −0.788233 | + | 1.54699i | −0.0870457 | + | 0.170837i | ||||
\(83\) | −3.03387 | + | 5.95431i | −0.333011 | + | 0.653571i | −0.995423 | − | 0.0955691i | \(-0.969533\pi\) |
0.662412 | + | 0.749140i | \(0.269533\pi\) | |||||||
\(84\) | 4.73540 | + | 3.44047i | 0.516675 | + | 0.375386i | ||||
\(85\) | −4.35068 | + | 10.9470i | −0.471898 | + | 1.18737i | ||||
\(86\) | 1.08262 | − | 3.33197i | 0.116742 | − | 0.359296i | ||||
\(87\) | 2.13066 | − | 2.13066i | 0.228431 | − | 0.228431i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | − | 11.1726i | − | 1.18429i | −0.805830 | − | 0.592147i | \(-0.798281\pi\) | ||
0.805830 | − | 0.592147i | \(-0.201719\pi\) | |||||||
\(90\) | −1.80057 | + | 0.459814i | −0.189797 | + | 0.0484687i | ||||
\(91\) | −6.90490 | + | 5.01670i | −0.723830 | + | 0.525894i | ||||
\(92\) | 0.826356 | + | 5.21741i | 0.0861536 | + | 0.543952i | ||||
\(93\) | 6.84294 | + | 3.48665i | 0.709580 | + | 0.361549i | ||||
\(94\) | −0.555586 | − | 1.70992i | −0.0573043 | − | 0.176364i | ||||
\(95\) | −6.05294 | − | 6.88374i | −0.621019 | − | 0.706257i | ||||
\(96\) | 3.31916 | + | 4.56843i | 0.338761 | + | 0.466264i | ||||
\(97\) | 8.97103 | − | 4.57097i | 0.910871 | − | 0.464112i | 0.0652335 | − | 0.997870i | \(-0.479221\pi\) |
0.845637 | + | 0.533758i | \(0.179221\pi\) | |||||||
\(98\) | −0.519848 | − | 0.519848i | −0.0525126 | − | 0.0525126i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −3.77081 | + | 7.95960i | −0.377081 | + | 0.795960i | ||||
\(101\) | 1.81570 | + | 0.589955i | 0.180668 | + | 0.0587027i | 0.397954 | − | 0.917405i | \(-0.369720\pi\) |
−0.217286 | + | 0.976108i | \(0.569720\pi\) | |||||||
\(102\) | 2.89506 | + | 0.458533i | 0.286654 | + | 0.0454015i | ||||
\(103\) | 6.09534 | − | 0.965408i | 0.600592 | − | 0.0951244i | 0.151267 | − | 0.988493i | \(-0.451665\pi\) |
0.449325 | + | 0.893368i | \(0.351665\pi\) | |||||||
\(104\) | −5.11261 | + | 1.66119i | −0.501333 | + | 0.162893i | ||||
\(105\) | 7.39804 | − | 0.689618i | 0.721975 | − | 0.0672998i | ||||
\(106\) | −0.424169 | + | 0.583818i | −0.0411989 | + | 0.0567054i | ||||
\(107\) | −0.0681317 | + | 0.430167i | −0.00658654 | + | 0.0415858i | −0.990763 | − | 0.135607i | \(-0.956702\pi\) |
0.984176 | + | 0.177193i | \(0.0567016\pi\) | |||||||
\(108\) | −4.28417 | − | 8.40815i | −0.412244 | − | 0.809075i | ||||
\(109\) | 9.46672 | 0.906748 | 0.453374 | − | 0.891320i | \(-0.350220\pi\) | ||||
0.453374 | + | 0.891320i | \(0.350220\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −1.32539 | −0.125801 | ||||||||
\(112\) | 3.47691 | + | 6.82382i | 0.328537 | + | 0.644790i | ||||
\(113\) | 3.17038 | − | 20.0170i | 0.298244 | − | 1.88304i | −0.149322 | − | 0.988789i | \(-0.547709\pi\) |
0.447566 | − | 0.894251i | \(-0.352291\pi\) | |||||||
\(114\) | −1.34066 | + | 1.84526i | −0.125564 | + | 0.172825i | ||||
\(115\) | 5.16111 | + | 4.28096i | 0.481276 | + | 0.399202i | ||||
\(116\) | 4.43060 | − | 1.43959i | 0.411371 | − | 0.133663i | ||||
\(117\) | 4.91919 | − | 0.779122i | 0.454779 | − | 0.0720299i | ||||
\(118\) | −0.774274 | − | 0.122633i | −0.0712777 | − | 0.0112893i | ||||
\(119\) | 14.6120 | + | 4.74773i | 1.33948 | + | 0.435223i | ||||
\(120\) | 4.56582 | + | 1.02682i | 0.416800 | + | 0.0937351i | ||||
\(121\) | 0 | 0 | ||||||||
\(122\) | −2.39578 | − | 2.39578i | −0.216903 | − | 0.216903i | ||||
\(123\) | −3.60934 | + | 1.83905i | −0.325444 | + | 0.165822i | ||||
\(124\) | 6.97923 | + | 9.60608i | 0.626753 | + | 0.862652i | ||||
\(125\) | 3.07732 | + | 10.7485i | 0.275243 | + | 0.961375i | ||||
\(126\) | 0.748989 | + | 2.30515i | 0.0667253 | + | 0.205359i | ||||
\(127\) | 8.40191 | + | 4.28099i | 0.745549 | + | 0.379876i | 0.785122 | − | 0.619341i | \(-0.212600\pi\) |
−0.0395736 | + | 0.999217i | \(0.512600\pi\) | |||||||
\(128\) | 1.76696 | + | 11.1562i | 0.156179 | + | 0.986075i | ||||
\(129\) | 6.61291 | − | 4.80456i | 0.582234 | − | 0.423018i | ||||
\(130\) | −1.63029 | + | 2.74850i | −0.142986 | + | 0.241060i | ||||
\(131\) | − | 7.51676i | − | 0.656743i | −0.944549 | − | 0.328371i | \(-0.893500\pi\) | ||
0.944549 | − | 0.328371i | \(-0.106500\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −8.45377 | + | 8.45377i | −0.733035 | + | 0.733035i | ||||
\(134\) | 0.280575 | − | 0.863521i | 0.0242380 | − | 0.0745968i | ||||
\(135\) | −11.1319 | − | 4.42419i | −0.958084 | − | 0.380774i | ||||
\(136\) | 7.82885 | + | 5.68799i | 0.671318 | + | 0.487741i | ||||
\(137\) | −6.97753 | + | 13.6942i | −0.596131 | + | 1.16997i | 0.374009 | + | 0.927425i | \(0.377983\pi\) |
−0.970140 | + | 0.242547i | \(0.922017\pi\) | |||||||
\(138\) | 0.757489 | − | 1.48666i | 0.0644818 | − | 0.126553i | ||||
\(139\) | 3.36744 | + | 2.44659i | 0.285623 | + | 0.207517i | 0.721366 | − | 0.692554i | \(-0.243514\pi\) |
−0.435743 | + | 0.900071i | \(0.643514\pi\) | |||||||
\(140\) | 10.6752 | + | 4.24269i | 0.902222 | + | 0.358572i | ||||
\(141\) | 1.29626 | − | 3.98947i | 0.109164 | − | 0.335974i | ||||
\(142\) | 0.992116 | − | 0.992116i | 0.0832565 | − | 0.0832565i | ||||
\(143\) | 0 | 0 | ||||||||
\(144\) | − | 4.46910i | − | 0.372425i | ||||||
\(145\) | 3.01689 | − | 5.08618i | 0.250539 | − | 0.422384i | ||||
\(146\) | −5.84786 | + | 4.24872i | −0.483972 | + | 0.351626i | ||||
\(147\) | −0.268327 | − | 1.69415i | −0.0221312 | − | 0.139731i | ||||
\(148\) | −1.82580 | − | 0.930290i | −0.150080 | − | 0.0764693i | ||||
\(149\) | −5.55533 | − | 17.0976i | −0.455111 | − | 1.40069i | −0.871005 | − | 0.491273i | \(-0.836532\pi\) |
0.415895 | − | 0.909413i | \(-0.363468\pi\) | |||||||
\(150\) | 2.44134 | − | 1.33388i | 0.199335 | − | 0.108911i | ||||
\(151\) | 10.4580 | + | 14.3942i | 0.851058 | + | 1.17138i | 0.983629 | + | 0.180207i | \(0.0576767\pi\) |
−0.132571 | + | 0.991173i | \(0.542323\pi\) | |||||||
\(152\) | −6.70939 | + | 3.41861i | −0.544204 | + | 0.277286i | ||||
\(153\) | −6.33960 | − | 6.33960i | −0.512526 | − | 0.512526i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 14.7052 | + | 3.30708i | 1.18115 | + | 0.265631i | ||||
\(156\) | −5.58609 | − | 1.81503i | −0.447245 | − | 0.145319i | ||||
\(157\) | 21.2006 | + | 3.35784i | 1.69199 | + | 0.267985i | 0.926727 | − | 0.375735i | \(-0.122610\pi\) |
0.765261 | + | 0.643720i | \(0.222610\pi\) | |||||||
\(158\) | −7.35350 | + | 1.16468i | −0.585013 | + | 0.0926569i | ||||
\(159\) | −1.60127 | + | 0.520286i | −0.126989 | + | 0.0412613i | ||||
\(160\) | 8.52993 | + | 7.07527i | 0.674350 | + | 0.559349i | ||||
\(161\) | 5.14060 | − | 7.07543i | 0.405136 | − | 0.557622i | ||||
\(162\) | −0.0762502 | + | 0.481425i | −0.00599078 | + | 0.0378243i | ||||
\(163\) | −4.73286 | − | 9.28876i | −0.370706 | − | 0.727552i | 0.628010 | − | 0.778205i | \(-0.283870\pi\) |
−0.998716 | + | 0.0506534i | \(0.983870\pi\) | |||||||
\(164\) | −6.26288 | −0.489049 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 3.26342 | 0.253290 | ||||||||
\(167\) | −5.12686 | − | 10.0620i | −0.396728 | − | 0.778623i | 0.603090 | − | 0.797673i | \(-0.293936\pi\) |
−0.999819 | + | 0.0190498i | \(0.993936\pi\) | |||||||
\(168\) | 0.954836 | − | 6.02860i | 0.0736672 | − | 0.465117i | ||||
\(169\) | −2.60712 | + | 3.58840i | −0.200548 | + | 0.276031i | ||||
\(170\) | 5.72773 | − | 0.533918i | 0.439297 | − | 0.0409496i | ||||
\(171\) | 6.63507 | − | 2.15586i | 0.507396 | − | 0.164863i | ||||
\(172\) | 12.4819 | − | 1.97694i | 0.951738 | − | 0.150741i | ||||
\(173\) | −13.0397 | − | 2.06528i | −0.991387 | − | 0.157020i | −0.360387 | − | 0.932803i | \(-0.617355\pi\) |
−0.631000 | + | 0.775783i | \(0.717355\pi\) | |||||||
\(174\) | −1.39945 | − | 0.454709i | −0.106092 | − | 0.0344714i | ||||
\(175\) | 13.7328 | − | 4.90381i | 1.03810 | − | 0.370693i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −1.29330 | − | 1.29330i | −0.0972104 | − | 0.0972104i | ||||
\(178\) | −4.86135 | + | 2.47698i | −0.364374 | + | 0.185658i | ||||
\(179\) | −1.30884 | − | 1.80147i | −0.0978276 | − | 0.134648i | 0.757297 | − | 0.653071i | \(-0.226520\pi\) |
−0.855125 | + | 0.518422i | \(0.826520\pi\) | |||||||
\(180\) | −4.42651 | − | 5.03406i | −0.329932 | − | 0.375217i | ||||
\(181\) | 1.33951 | + | 4.12258i | 0.0995647 | + | 0.306429i | 0.988416 | − | 0.151766i | \(-0.0484961\pi\) |
−0.888852 | + | 0.458195i | \(0.848496\pi\) | |||||||
\(182\) | 3.71366 | + | 1.89221i | 0.275275 | + | 0.140260i | ||||
\(183\) | −1.23661 | − | 7.80766i | −0.0914130 | − | 0.577159i | ||||
\(184\) | 4.45646 | − | 3.23780i | 0.328534 | − | 0.238694i | ||||
\(185\) | −2.52028 | + | 0.643607i | −0.185295 | + | 0.0473189i | ||||
\(186\) | − | 3.75045i | − | 0.274996i | ||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | 4.58586 | − | 4.58586i | 0.334458 | − | 0.334458i | ||||
\(189\) | −4.82794 | + | 14.8589i | −0.351181 | + | 1.08082i | ||||
\(190\) | −1.65326 | + | 4.15985i | −0.119940 | + | 0.301788i | ||||
\(191\) | 3.29900 | + | 2.39686i | 0.238707 | + | 0.173431i | 0.700707 | − | 0.713449i | \(-0.252868\pi\) |
−0.462000 | + | 0.886880i | \(0.652868\pi\) | |||||||
\(192\) | −1.46474 | + | 2.87471i | −0.105708 | + | 0.207465i | ||||
\(193\) | −9.48874 | + | 18.6227i | −0.683015 | + | 1.34049i | 0.245573 | + | 0.969378i | \(0.421024\pi\) |
−0.928588 | + | 0.371113i | \(0.878976\pi\) | |||||||
\(194\) | −3.97778 | − | 2.89003i | −0.285588 | − | 0.207492i | ||||
\(195\) | −6.84649 | + | 2.95218i | −0.490287 | + | 0.211410i | ||||
\(196\) | 0.819484 | − | 2.52211i | 0.0585346 | − | 0.180151i | ||||
\(197\) | 0.213782 | − | 0.213782i | 0.0152313 | − | 0.0152313i | −0.699450 | − | 0.714681i | \(-0.746572\pi\) |
0.714681 | + | 0.699450i | \(0.246572\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 11.0815i | 0.785549i | 0.919635 | + | 0.392775i | \(0.128485\pi\) | ||||
−0.919635 | + | 0.392775i | \(0.871515\pi\) | |||||||
\(200\) | 9.18069 | − | 0.264621i | 0.649173 | − | 0.0187115i | ||||
\(201\) | 1.71381 | − | 1.24516i | 0.120883 | − | 0.0878267i | ||||
\(202\) | −0.145845 | − | 0.920828i | −0.0102616 | − | 0.0647892i | ||||
\(203\) | −6.87223 | − | 3.50158i | −0.482336 | − | 0.245762i | ||||
\(204\) | 3.26729 | + | 10.0557i | 0.228756 | + | 0.704038i | ||||
\(205\) | −5.97026 | + | 5.24971i | −0.416981 | + | 0.366656i | ||||
\(206\) | −1.77141 | − | 2.43814i | −0.123420 | − | 0.169873i | ||||
\(207\) | −4.54726 | + | 2.31694i | −0.316056 | + | 0.161039i | ||||
\(208\) | −5.43417 | − | 5.43417i | −0.376792 | − | 0.376792i | ||||
\(209\) | 0 | 0 | ||||||||
\(210\) | −1.94022 | − | 3.06610i | −0.133888 | − | 0.211581i | ||||
\(211\) | 8.42206 | + | 2.73649i | 0.579799 | + | 0.188388i | 0.584210 | − | 0.811602i | \(-0.301404\pi\) |
−0.00441172 | + | 0.999990i | \(0.501404\pi\) | |||||||
\(212\) | −2.57103 | − | 0.407211i | −0.176579 | − | 0.0279673i | ||||
\(213\) | 3.23323 | − | 0.512094i | 0.221538 | − | 0.0350881i | ||||
\(214\) | 0.202276 | − | 0.0657236i | 0.0138273 | − | 0.00449277i | ||||
\(215\) | 10.2416 | − | 12.3473i | 0.698472 | − | 0.842076i | ||||
\(216\) | −5.78409 | + | 7.96112i | −0.393558 | + | 0.541686i | ||||
\(217\) | 3.07526 | − | 19.4164i | 0.208762 | − | 1.31807i | ||||
\(218\) | −2.09879 | − | 4.11910i | −0.142148 | − | 0.278981i | ||||
\(219\) | −16.8647 | −1.13961 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −15.4172 | −1.03707 | ||||||||
\(222\) | 0.293842 | + | 0.576696i | 0.0197214 | + | 0.0387053i | ||||
\(223\) | −0.967112 | + | 6.10610i | −0.0647626 | + | 0.408895i | 0.933916 | + | 0.357494i | \(0.116369\pi\) |
−0.998678 | + | 0.0514011i | \(0.983631\pi\) | |||||||
\(224\) | 8.49602 | − | 11.6938i | 0.567664 | − | 0.781323i | ||||
\(225\) | −8.43937 | − | 1.08844i | −0.562625 | − | 0.0725628i | ||||
\(226\) | −9.41254 | + | 3.05832i | −0.626113 | + | 0.203436i | ||||
\(227\) | −3.27588 | + | 0.518849i | −0.217428 | + | 0.0344372i | −0.264198 | − | 0.964468i | \(-0.585107\pi\) |
0.0467700 | + | 0.998906i | \(0.485107\pi\) | |||||||
\(228\) | −8.12619 | − | 1.28706i | −0.538170 | − | 0.0852377i | ||||
\(229\) | 5.07862 | + | 1.65014i | 0.335604 | + | 0.109044i | 0.471971 | − | 0.881614i | \(-0.343543\pi\) |
−0.136367 | + | 0.990658i | \(0.543543\pi\) | |||||||
\(230\) | 0.718477 | − | 3.19477i | 0.0473750 | − | 0.210657i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −3.43509 | − | 3.43509i | −0.225525 | − | 0.225525i | ||||
\(233\) | −3.93669 | + | 2.00585i | −0.257901 | + | 0.131407i | −0.578162 | − | 0.815922i | \(-0.696230\pi\) |
0.320260 | + | 0.947330i | \(0.396230\pi\) | |||||||
\(234\) | −1.42960 | − | 1.96767i | −0.0934557 | − | 0.128631i | ||||
\(235\) | 0.527605 | − | 8.21558i | 0.0344171 | − | 0.535925i | ||||
\(236\) | −0.873824 | − | 2.68935i | −0.0568811 | − | 0.175062i | ||||
\(237\) | −15.4773 | − | 7.88607i | −1.00536 | − | 0.512255i | ||||
\(238\) | −1.17370 | − | 7.41046i | −0.0760798 | − | 0.480349i | ||||
\(239\) | −8.45656 | + | 6.14405i | −0.547009 | + | 0.397426i | −0.826682 | − | 0.562670i | \(-0.809774\pi\) |
0.279672 | + | 0.960096i | \(0.409774\pi\) | |||||||
\(240\) | 1.65538 | + | 6.48225i | 0.106854 | + | 0.418427i | ||||
\(241\) | 27.8579i | 1.79449i | 0.441536 | + | 0.897243i | \(0.354434\pi\) | ||||
−0.441536 | + | 0.897243i | \(0.645566\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 10.5600 | − | 10.5600i | 0.677425 | − | 0.677425i | ||||
\(244\) | 3.77668 | − | 11.6234i | 0.241777 | − | 0.744114i | ||||
\(245\) | −1.33291 | − | 3.09119i | −0.0851563 | − | 0.197489i | ||||
\(246\) | 1.60039 | + | 1.16275i | 0.102037 | + | 0.0741345i | ||||
\(247\) | 5.44646 | − | 10.6893i | 0.346550 | − | 0.680142i | ||||
\(248\) | 5.62125 | − | 11.0323i | 0.356949 | − | 0.700553i | ||||
\(249\) | 6.15985 | + | 4.47539i | 0.390365 | + | 0.283616i | ||||
\(250\) | 3.99457 | − | 3.72194i | 0.252639 | − | 0.235396i | ||||
\(251\) | −3.07357 | + | 9.45946i | −0.194002 | + | 0.597076i | 0.805985 | + | 0.591936i | \(0.201636\pi\) |
−0.999987 | + | 0.00514015i | \(0.998364\pi\) | |||||||
\(252\) | −6.18223 | + | 6.18223i | −0.389444 | + | 0.389444i | ||||
\(253\) | 0 | 0 | ||||||||
\(254\) | − | 4.60489i | − | 0.288936i | ||||||
\(255\) | 11.5436 | + | 6.84711i | 0.722886 | + | 0.428783i | ||||
\(256\) | −0.119374 | + | 0.0867302i | −0.00746087 | + | 0.00542064i | ||||
\(257\) | −0.663355 | − | 4.18826i | −0.0413790 | − | 0.261257i | 0.958323 | − | 0.285689i | \(-0.0922223\pi\) |
−0.999701 | + | 0.0244320i | \(0.992222\pi\) | |||||||
\(258\) | −3.55662 | − | 1.81219i | −0.221426 | − | 0.112822i | ||||
\(259\) | 1.04837 | + | 3.22655i | 0.0651425 | + | 0.200488i | ||||
\(260\) | −11.5035 | − | 0.738757i | −0.713418 | − | 0.0458157i | ||||
\(261\) | 2.64551 | + | 3.64123i | 0.163753 | + | 0.225386i | ||||
\(262\) | −3.27065 | + | 1.66648i | −0.202061 | + | 0.102955i | ||||
\(263\) | 16.1830 | + | 16.1830i | 0.997884 | + | 0.997884i | 0.999998 | − | 0.00211364i | \(-0.000672793\pi\) |
−0.00211364 | + | 0.999998i | \(0.500673\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −2.79223 | + | 1.76692i | −0.171526 | + | 0.108541i | ||||
\(266\) | 5.55257 | + | 1.80414i | 0.340450 | + | 0.110619i | ||||
\(267\) | −12.5729 | − | 1.99135i | −0.769450 | − | 0.121869i | ||||
\(268\) | 3.23484 | − | 0.512349i | 0.197599 | − | 0.0312967i | ||||
\(269\) | 21.7521 | − | 7.06768i | 1.32625 | − | 0.430924i | 0.441611 | − | 0.897206i | \(-0.354407\pi\) |
0.884636 | + | 0.466283i | \(0.154407\pi\) | |||||||
\(270\) | 0.542939 | + | 5.82451i | 0.0330422 | + | 0.354468i | ||||
\(271\) | −0.817223 | + | 1.12481i | −0.0496428 | + | 0.0683274i | −0.833117 | − | 0.553097i | \(-0.813446\pi\) |
0.783474 | + | 0.621425i | \(0.213446\pi\) | |||||||
\(272\) | −2.16414 | + | 13.6638i | −0.131220 | + | 0.828490i | ||||
\(273\) | 4.41477 | + | 8.66448i | 0.267194 | + | 0.524398i | ||||
\(274\) | 7.50545 | 0.453421 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 6.01861 | 0.362278 | ||||||||
\(277\) | −6.47199 | − | 12.7020i | −0.388864 | − | 0.763189i | 0.610725 | − | 0.791843i | \(-0.290878\pi\) |
−0.999589 | + | 0.0286534i | \(0.990878\pi\) | |||||||
\(278\) | 0.317978 | − | 2.00763i | 0.0190711 | − | 0.120410i | ||||
\(279\) | −6.74281 | + | 9.28068i | −0.403682 | + | 0.555620i | ||||
\(280\) | −1.11182 | − | 11.9273i | −0.0664437 | − | 0.712791i | ||||
\(281\) | −24.1347 | + | 7.84184i | −1.43976 | + | 0.467805i | −0.921821 | − | 0.387615i | \(-0.873299\pi\) |
−0.517935 | + | 0.855420i | \(0.673299\pi\) | |||||||
\(282\) | −2.02325 | + | 0.320452i | −0.120483 | + | 0.0190826i | ||||
\(283\) | 7.31948 | + | 1.15929i | 0.435098 | + | 0.0689128i | 0.370142 | − | 0.928975i | \(-0.379309\pi\) |
0.0649564 | + | 0.997888i | \(0.479309\pi\) | |||||||
\(284\) | 4.81338 | + | 1.56396i | 0.285622 | + | 0.0928042i | ||||
\(285\) | −8.82536 | + | 5.58466i | −0.522769 | + | 0.330807i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 7.33195 | + | 7.33195i | 0.432791 | + | 0.432791i | ||||
\(288\) | −7.51539 | + | 3.82928i | −0.442848 | + | 0.225643i | ||||
\(289\) | 6.32041 | + | 8.69930i | 0.371789 | + | 0.511724i | ||||
\(290\) | −2.88191 | − | 0.185077i | −0.169232 | − | 0.0108681i | ||||
\(291\) | −3.54491 | − | 10.9101i | −0.207807 | − | 0.639563i | ||||
\(292\) | −23.2320 | − | 11.8373i | −1.35955 | − | 0.692726i | ||||
\(293\) | 2.29605 | + | 14.4967i | 0.134137 | + | 0.846906i | 0.959378 | + | 0.282125i | \(0.0910393\pi\) |
−0.825241 | + | 0.564781i | \(0.808961\pi\) | |||||||
\(294\) | −0.677659 | + | 0.492348i | −0.0395219 | + | 0.0287143i | ||||
\(295\) | −3.08728 | − | 1.83124i | −0.179749 | − | 0.106619i | ||||
\(296\) | 2.13682i | 0.124200i | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −6.20775 | + | 6.20775i | −0.359606 | + | 0.359606i | ||||
\(299\) | −2.71194 | + | 8.34648i | −0.156835 | + | 0.482689i | ||||
\(300\) | 8.28512 | + | 5.66211i | 0.478341 | + | 0.326902i | ||||
\(301\) | −16.9270 | − | 12.2982i | −0.975655 | − | 0.708855i | ||||
\(302\) | 3.94455 | − | 7.74161i | 0.226983 | − | 0.445480i | ||||
\(303\) | 0.987518 | − | 1.93811i | 0.0567314 | − | 0.111342i | ||||
\(304\) | −8.70907 | − | 6.32751i | −0.499499 | − | 0.362908i | ||||
\(305\) | −6.14284 | − | 14.2461i | −0.351738 | − | 0.815727i | ||||
\(306\) | −1.35295 | + | 4.16395i | −0.0773429 | + | 0.238037i | ||||
\(307\) | −0.874954 | + | 0.874954i | −0.0499363 | + | 0.0499363i | −0.731634 | − | 0.681698i | \(-0.761242\pi\) |
0.681698 | + | 0.731634i | \(0.261242\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | − | 7.03137i | − | 0.400001i | ||||||
\(310\) | −1.82121 | − | 7.13162i | −0.103438 | − | 0.405049i | ||||
\(311\) | −11.4450 | + | 8.31532i | −0.648989 | + | 0.471518i | −0.862927 | − | 0.505329i | \(-0.831371\pi\) |
0.213937 | + | 0.976847i | \(0.431371\pi\) | |||||||
\(312\) | 0.958144 | + | 6.04948i | 0.0542442 | + | 0.342485i | ||||
\(313\) | −0.659031 | − | 0.335793i | −0.0372506 | − | 0.0189802i | 0.435266 | − | 0.900302i | \(-0.356654\pi\) |
−0.472517 | + | 0.881322i | \(0.656654\pi\) | |||||||
\(314\) | −3.23915 | − | 9.96909i | −0.182796 | − | 0.562588i | ||||
\(315\) | −0.711268 | + | 11.0755i | −0.0400754 | + | 0.624033i | ||||
\(316\) | −15.7855 | − | 21.7269i | −0.888006 | − | 1.22224i | ||||
\(317\) | 15.2060 | − | 7.74784i | 0.854054 | − | 0.435162i | 0.0285725 | − | 0.999592i | \(-0.490904\pi\) |
0.825481 | + | 0.564430i | \(0.190904\pi\) | |||||||
\(318\) | 0.581389 | + | 0.581389i | 0.0326027 | + | 0.0326027i | ||||
\(319\) | 0 | 0 | ||||||||
\(320\) | −1.38930 | + | 6.17765i | −0.0776644 | + | 0.345341i | ||||
\(321\) | 0.471938 | + | 0.153342i | 0.0263410 | + | 0.00855871i | ||||
\(322\) | −4.21829 | − | 0.668112i | −0.235076 | − | 0.0372324i | ||||
\(323\) | −21.3300 | + | 3.37834i | −1.18683 | + | 0.187976i | ||||
\(324\) | −1.67217 | + | 0.543322i | −0.0928986 | + | 0.0301846i | ||||
\(325\) | −11.5853 | + | 8.93832i | −0.642636 | + | 0.495809i | ||||
\(326\) | −2.99238 | + | 4.11866i | −0.165733 | + | 0.228112i | ||||
\(327\) | 1.68731 | − | 10.6532i | 0.0933082 | − | 0.589125i | ||||
\(328\) | 2.96496 | + | 5.81905i | 0.163712 | + | 0.321304i | ||||
\(329\) | −10.7373 | −0.591967 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −14.9189 | −0.820016 | −0.410008 | − | 0.912082i | \(-0.634474\pi\) | ||||
−0.410008 | + | 0.912082i | \(0.634474\pi\) | |||||||
\(332\) | 5.34424 | + | 10.4887i | 0.293303 | + | 0.575640i | ||||
\(333\) | 0.309697 | − | 1.95535i | 0.0169713 | − | 0.107153i | ||||
\(334\) | −3.24149 | + | 4.46153i | −0.177367 | + | 0.244124i | ||||
\(335\) | 2.65424 | − | 3.19994i | 0.145016 | − | 0.174831i | ||||
\(336\) | 8.29879 | − | 2.69644i | 0.452736 | − | 0.147103i | ||||
\(337\) | −9.32134 | + | 1.47636i | −0.507766 | + | 0.0804222i | −0.405061 | − | 0.914290i | \(-0.632750\pi\) |
−0.102705 | + | 0.994712i | \(0.532750\pi\) | |||||||
\(338\) | 2.13936 | + | 0.338842i | 0.116366 | + | 0.0184306i | ||||
\(339\) | −21.9607 | − | 7.13547i | −1.19274 | − | 0.387546i | ||||
\(340\) | 11.0959 | + | 17.5346i | 0.601758 | + | 0.950950i | ||||
\(341\) | 0 | 0 | ||||||||
\(342\) | −2.40905 | − | 2.40905i | −0.130267 | − | 0.130267i | ||||
\(343\) | 14.2778 | − | 7.27490i | 0.770928 | − | 0.392808i | ||||
\(344\) | −7.74600 | − | 10.6615i | −0.417636 | − | 0.574827i | ||||
\(345\) | 5.73740 | − | 5.04496i | 0.308891 | − | 0.271612i | ||||
\(346\) | 1.99228 | + | 6.13161i | 0.107106 | + | 0.329637i | ||||
\(347\) | 17.1425 | + | 8.73452i | 0.920255 | + | 0.468894i | 0.848898 | − | 0.528557i | \(-0.177267\pi\) |
0.0713577 | + | 0.997451i | \(0.477267\pi\) | |||||||
\(348\) | −0.830330 | − | 5.24250i | −0.0445104 | − | 0.281027i | ||||
\(349\) | 12.0325 | − | 8.74209i | 0.644082 | − | 0.467953i | −0.217168 | − | 0.976134i | \(-0.569682\pi\) |
0.861250 | + | 0.508181i | \(0.169682\pi\) | |||||||
\(350\) | −5.17829 | − | 4.88814i | −0.276791 | − | 0.261282i | ||||
\(351\) | − | 15.6777i | − | 0.836813i | ||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 1.78406 | − | 1.78406i | 0.0949560 | − | 0.0949560i | −0.658033 | − | 0.752989i | \(-0.728611\pi\) |
0.752989 | + | 0.658033i | \(0.228611\pi\) | |||||||
\(354\) | −0.276006 | + | 0.849460i | −0.0146696 | + | 0.0451483i | ||||
\(355\) | 5.89944 | − | 2.54382i | 0.313110 | − | 0.135012i | ||||
\(356\) | −15.9221 | − | 11.5681i | −0.843870 | − | 0.613108i | ||||
\(357\) | 7.94716 | − | 15.5972i | 0.420608 | − | 0.825490i | ||||
\(358\) | −0.493672 | + | 0.968885i | −0.0260914 | + | 0.0512072i | ||||
\(359\) | −6.87015 | − | 4.99146i | −0.362593 | − | 0.263439i | 0.391540 | − | 0.920161i | \(-0.371942\pi\) |
−0.754133 | + | 0.656722i | \(0.771942\pi\) | |||||||
\(360\) | −2.58173 | + | 6.49603i | −0.136069 | + | 0.342371i | ||||
\(361\) | −0.678357 | + | 2.08777i | −0.0357030 | + | 0.109883i | ||||
\(362\) | 1.49682 | − | 1.49682i | 0.0786711 | − | 0.0786711i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 15.0345i | 0.788021i | ||||||||
\(365\) | −32.0689 | + | 8.18946i | −1.67856 | + | 0.428656i | ||||
\(366\) | −3.12306 | + | 2.26904i | −0.163245 | + | 0.118604i | ||||
\(367\) | −3.32102 | − | 20.9681i | −0.173356 | − | 1.09453i | −0.908889 | − | 0.417038i | \(-0.863068\pi\) |
0.735533 | − | 0.677489i | \(-0.236932\pi\) | |||||||
\(368\) | 7.01656 | + | 3.57512i | 0.365764 | + | 0.186366i | ||||
\(369\) | −1.86978 | − | 5.75459i | −0.0973368 | − | 0.299572i | ||||
\(370\) | 0.838793 | + | 0.953921i | 0.0436068 | + | 0.0495920i | ||||
\(371\) | 2.53318 | + | 3.48662i | 0.131516 | + | 0.181016i | ||||
\(372\) | 12.0540 | − | 6.14182i | 0.624971 | − | 0.318439i | ||||
\(373\) | 2.57445 | + | 2.57445i | 0.133300 | + | 0.133300i | 0.770609 | − | 0.637309i | \(-0.219952\pi\) |
−0.637309 | + | 0.770609i | \(0.719952\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 12.6441 | − | 1.54725i | 0.652940 | − | 0.0798995i | ||||
\(376\) | −6.43190 | − | 2.08985i | −0.331700 | − | 0.107776i | ||||
\(377\) | 7.64432 | + | 1.21074i | 0.393702 | + | 0.0623563i | ||||
\(378\) | 7.53567 | − | 1.19353i | 0.387593 | − | 0.0613887i | ||||
\(379\) | −15.7712 | + | 5.12437i | −0.810112 | + | 0.263221i | −0.684645 | − | 0.728877i | \(-0.740043\pi\) |
−0.125467 | + | 0.992098i | \(0.540043\pi\) | |||||||
\(380\) | −16.0772 | + | 1.49866i | −0.824745 | + | 0.0768796i | ||||
\(381\) | 6.31506 | − | 8.69193i | 0.323530 | − | 0.445301i | ||||
\(382\) | 0.311515 | − | 1.96683i | 0.0159385 | − | 0.100632i | ||||
\(383\) | 5.14840 | + | 10.1043i | 0.263071 | + | 0.516306i | 0.984325 | − | 0.176365i | \(-0.0564338\pi\) |
−0.721254 | + | 0.692671i | \(0.756434\pi\) | |||||||
\(384\) | 12.8694 | 0.656736 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 10.2067 | 0.519505 | ||||||||
\(387\) | 5.54297 | + | 10.8787i | 0.281765 | + | 0.552995i | ||||
\(388\) | 2.77449 | − | 17.5174i | 0.140853 | − | 0.889312i | ||||
\(389\) | −0.480555 | + | 0.661427i | −0.0243651 | + | 0.0335357i | −0.821026 | − | 0.570891i | \(-0.806598\pi\) |
0.796661 | + | 0.604427i | \(0.206598\pi\) | |||||||
\(390\) | 2.80241 | + | 2.32450i | 0.141906 | + | 0.117706i | ||||
\(391\) | 15.0247 | − | 4.88183i | 0.759833 | − | 0.246885i | ||||
\(392\) | −2.73134 | + | 0.432601i | −0.137953 | + | 0.0218497i | ||||
\(393\) | −8.45887 | − | 1.33975i | −0.426694 | − | 0.0675816i | ||||
\(394\) | −0.140415 | − | 0.0456237i | −0.00707402 | − | 0.00229849i | ||||
\(395\) | −33.2601 | − | 7.47992i | −1.67350 | − | 0.376356i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 11.8504 | + | 11.8504i | 0.594752 | + | 0.594752i | 0.938911 | − | 0.344159i | \(-0.111836\pi\) |
−0.344159 | + | 0.938911i | \(0.611836\pi\) | |||||||
\(398\) | 4.82173 | − | 2.45679i | 0.241691 | − | 0.123148i | ||||
\(399\) | 8.00656 | + | 11.0201i | 0.400829 | + | 0.551694i | ||||
\(400\) | 6.29553 | + | 11.5224i | 0.314776 | + | 0.576120i | ||||
\(401\) | −8.79392 | − | 27.0649i | −0.439148 | − | 1.35156i | −0.888776 | − | 0.458342i | \(-0.848444\pi\) |
0.449629 | − | 0.893216i | \(-0.351556\pi\) | |||||||
\(402\) | −0.921741 | − | 0.469651i | −0.0459723 | − | 0.0234240i | ||||
\(403\) | 3.08591 | + | 19.4837i | 0.153720 | + | 0.970551i | ||||
\(404\) | 2.72071 | − | 1.97671i | 0.135361 | − | 0.0983452i | ||||
\(405\) | −1.13862 | + | 1.91960i | −0.0565784 | + | 0.0953856i | ||||
\(406\) | 3.76651i | 0.186929i | ||||||||
\(407\) | 0 | 0 | ||||||||
\(408\) | 7.79627 | − | 7.79627i | 0.385973 | − | 0.385973i | ||||
\(409\) | 0.748644 | − | 2.30409i | 0.0370181 | − | 0.113930i | −0.930840 | − | 0.365427i | \(-0.880923\pi\) |
0.967858 | + | 0.251497i | \(0.0809229\pi\) | |||||||
\(410\) | 3.60784 | + | 1.43387i | 0.178178 | + | 0.0708140i | ||||
\(411\) | 14.1669 | + | 10.2928i | 0.698801 | + | 0.507708i | ||||
\(412\) | 4.93530 | − | 9.68608i | 0.243145 | − | 0.477199i | ||||
\(413\) | −2.12544 | + | 4.17141i | −0.104586 | + | 0.205262i | ||||
\(414\) | 2.01627 | + | 1.46490i | 0.0990941 | + | 0.0719961i | ||||
\(415\) | 13.8864 | + | 5.51892i | 0.681658 | + | 0.270913i | ||||
\(416\) | −4.48210 | + | 13.7945i | −0.219753 | + | 0.676330i | ||||
\(417\) | 3.35343 | − | 3.35343i | 0.164218 | − | 0.164218i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | − | 16.4371i | − | 0.803006i | −0.915858 | − | 0.401503i | \(-0.868488\pi\) | ||
0.915858 | − | 0.401503i | \(-0.131512\pi\) | |||||||
\(420\) | 6.67714 | − | 11.2570i | 0.325811 | − | 0.549286i | ||||
\(421\) | 10.0871 | − | 7.32873i | 0.491617 | − | 0.357180i | −0.314189 | − | 0.949360i | \(-0.601733\pi\) |
0.805806 | + | 0.592180i | \(0.201733\pi\) | |||||||
\(422\) | −0.676498 | − | 4.27124i | −0.0329314 | − | 0.207921i | ||||
\(423\) | 5.58277 | + | 2.84457i | 0.271444 | + | 0.138308i | ||||
\(424\) | 0.838815 | + | 2.58161i | 0.0407364 | + | 0.125374i | ||||
\(425\) | 25.2754 | + | 7.41452i | 1.22604 | + | 0.359657i | ||||
\(426\) | −0.939632 | − | 1.29329i | −0.0455253 | − | 0.0626602i | ||||
\(427\) | −18.0289 | + | 9.18618i | −0.872479 | + | 0.444550i | ||||
\(428\) | 0.542488 | + | 0.542488i | 0.0262222 | + | 0.0262222i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −7.64304 | − | 1.71886i | −0.368580 | − | 0.0828907i | ||||
\(431\) | 18.8644 | + | 6.12941i | 0.908666 | + | 0.295243i | 0.725809 | − | 0.687896i | \(-0.241466\pi\) |
0.182857 | + | 0.983140i | \(0.441466\pi\) | |||||||
\(432\) | −13.8947 | − | 2.20070i | −0.668508 | − | 0.105881i | ||||
\(433\) | 28.2730 | − | 4.47800i | 1.35871 | − | 0.215199i | 0.565803 | − | 0.824540i | \(-0.308566\pi\) |
0.792908 | + | 0.609341i | \(0.208566\pi\) | |||||||
\(434\) | −9.13013 | + | 2.96656i | −0.438260 | + | 0.142399i | ||||
\(435\) | −5.18593 | − | 4.30155i | −0.248647 | − | 0.206243i | ||||
\(436\) | 9.80183 | − | 13.4911i | 0.469422 | − | 0.646104i | ||||
\(437\) | −1.92307 | + | 12.1418i | −0.0919929 | + | 0.580820i | ||||
\(438\) | 3.73893 | + | 7.33807i | 0.178653 | + | 0.350626i | ||||
\(439\) | −3.12279 | −0.149043 | −0.0745214 | − | 0.997219i | \(-0.523743\pi\) | ||||
−0.0745214 | + | 0.997219i | \(0.523743\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 2.56208 | 0.122004 | ||||||||
\(442\) | 3.41802 | + | 6.70823i | 0.162578 | + | 0.319078i | ||||
\(443\) | −4.96491 | + | 31.3472i | −0.235890 | + | 1.48935i | 0.530890 | + | 0.847441i | \(0.321858\pi\) |
−0.766780 | + | 0.641910i | \(0.778142\pi\) | |||||||
\(444\) | −1.37231 | + | 1.88882i | −0.0651269 | + | 0.0896395i | ||||
\(445\) | −24.8749 | + | 2.31874i | −1.17918 | + | 0.109919i | ||||
\(446\) | 2.87126 | − | 0.932929i | 0.135958 | − | 0.0441755i | ||||
\(447\) | −20.2306 | + | 3.20422i | −0.956876 | + | 0.151554i | ||||
\(448\) | 8.15682 | + | 1.29191i | 0.385373 | + | 0.0610372i | ||||
\(449\) | −33.2818 | − | 10.8139i | −1.57067 | − | 0.510341i | −0.611036 | − | 0.791603i | \(-0.709247\pi\) |
−0.959631 | + | 0.281262i | \(0.909247\pi\) | |||||||
\(450\) | 1.39743 | + | 3.91340i | 0.0658753 | + | 0.184479i | ||||
\(451\) | 0 | 0 | ||||||||
\(452\) | −25.2437 | − | 25.2437i | −1.18736 | − | 1.18736i | ||||
\(453\) | 18.0622 | − | 9.20317i | 0.848638 | − | 0.432402i | ||||
\(454\) | 0.952026 | + | 1.31035i | 0.0446808 | + | 0.0614978i | ||||
\(455\) | 12.6023 | + | 14.3320i | 0.590805 | + | 0.671896i | ||||
\(456\) | 2.65122 | + | 8.15963i | 0.124155 | + | 0.382110i | ||||
\(457\) | 4.54419 | + | 2.31538i | 0.212568 | + | 0.108309i | 0.557033 | − | 0.830490i | \(-0.311940\pi\) |
−0.344465 | + | 0.938799i | \(0.611940\pi\) | |||||||
\(458\) | −0.407937 | − | 2.57562i | −0.0190617 | − | 0.120351i | ||||
\(459\) | −22.8319 | + | 16.5884i | −1.06570 | + | 0.774279i | ||||
\(460\) | 11.4446 | − | 2.92262i | 0.533608 | − | 0.136268i | ||||
\(461\) | 12.4703i | 0.580801i | 0.956905 | + | 0.290400i | \(0.0937885\pi\) | ||||
−0.956905 | + | 0.290400i | \(0.906211\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −19.2728 | + | 19.2728i | −0.895684 | + | 0.895684i | −0.995051 | − | 0.0993669i | \(-0.968318\pi\) |
0.0993669 | + | 0.995051i | \(0.468318\pi\) | |||||||
\(464\) | 2.14609 | − | 6.60498i | 0.0996297 | − | 0.306629i | ||||
\(465\) | 6.34256 | − | 15.9588i | 0.294129 | − | 0.740073i | ||||
\(466\) | 1.74554 | + | 1.26821i | 0.0808607 | + | 0.0587487i | ||||
\(467\) | −18.0203 | + | 35.3668i | −0.833879 | + | 1.63658i | −0.0643861 | + | 0.997925i | \(0.520509\pi\) |
−0.769493 | + | 0.638655i | \(0.779491\pi\) | |||||||
\(468\) | 3.98299 | − | 7.81705i | 0.184114 | − | 0.361343i | ||||
\(469\) | −4.38683 | − | 3.18722i | −0.202565 | − | 0.147172i | ||||
\(470\) | −3.69168 | + | 1.59184i | −0.170285 | + | 0.0734260i | ||||
\(471\) | 7.55738 | − | 23.2592i | 0.348226 | − | 1.07173i | ||||
\(472\) | −2.08508 | + | 2.08508i | −0.0959738 | + | 0.0959738i | ||||
\(473\) | 0 | 0 | ||||||||
\(474\) | 8.48273i | 0.389625i | ||||||||
\(475\) | −14.0698 | + | 14.9050i | −0.645569 | + | 0.683889i | ||||
\(476\) | 21.8952 | − | 15.9078i | 1.00357 | − | 0.729134i | ||||
\(477\) | −0.393417 | − | 2.48393i | −0.0180133 | − | 0.113732i | ||||
\(478\) | 4.54819 | + | 2.31742i | 0.208029 | + | 0.105996i | ||||
\(479\) | 11.8215 | + | 36.3828i | 0.540138 | + | 1.66237i | 0.732278 | + | 0.681006i | \(0.238457\pi\) |
−0.192141 | + | 0.981367i | \(0.561543\pi\) | |||||||
\(480\) | 9.48238 | − | 8.33796i | 0.432810 | − | 0.380574i | ||||
\(481\) | −2.00102 | − | 2.75417i | −0.0912389 | − | 0.125580i | ||||
\(482\) | 12.1214 | − | 6.17614i | 0.552113 | − | 0.281316i | ||||
\(483\) | −7.04599 | − | 7.04599i | −0.320603 | − | 0.320603i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −12.0387 | − | 19.0246i | −0.546650 | − | 0.863863i | ||||
\(486\) | −6.93598 | − | 2.25364i | −0.314622 | − | 0.102227i | ||||
\(487\) | −26.8446 | − | 4.25177i | −1.21645 | − | 0.192666i | −0.484968 | − | 0.874532i | \(-0.661169\pi\) |
−0.731477 | + | 0.681866i | \(0.761169\pi\) | |||||||
\(488\) | −12.5877 | + | 1.99369i | −0.569817 | + | 0.0902501i | ||||
\(489\) | −11.2965 | + | 3.67046i | −0.510846 | + | 0.165984i | ||||
\(490\) | −1.04951 | + | 1.26529i | −0.0474120 | + | 0.0571598i | ||||
\(491\) | 2.33461 | − | 3.21331i | 0.105359 | − | 0.145015i | −0.753082 | − | 0.657927i | \(-0.771433\pi\) |
0.858441 | + | 0.512912i | \(0.171433\pi\) | |||||||
\(492\) | −1.11627 | + | 7.04784i | −0.0503253 | + | 0.317741i | ||||
\(493\) | −6.32512 | − | 12.4138i | −0.284869 | − | 0.559087i | ||||
\(494\) | −5.85854 | −0.263588 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 17.7010 | 0.794798 | ||||||||
\(497\) | −3.80409 | − | 7.46596i | −0.170637 | − | 0.334894i | ||||
\(498\) | 0.581657 | − | 3.67244i | 0.0260647 | − | 0.164566i | ||||
\(499\) | 3.77656 | − | 5.19799i | 0.169062 | − | 0.232694i | −0.716076 | − | 0.698022i | \(-0.754064\pi\) |
0.885138 | + | 0.465328i | \(0.154064\pi\) | |||||||
\(500\) | 18.5040 | + | 6.74348i | 0.827522 | + | 0.301577i | ||||
\(501\) | −12.2369 | + | 3.97602i | −0.546706 | + | 0.177636i | ||||
\(502\) | 4.79736 | − | 0.759827i | 0.214117 | − | 0.0339127i | ||||
\(503\) | 40.2254 | + | 6.37107i | 1.79356 | + | 0.284072i | 0.962335 | − | 0.271865i | \(-0.0876404\pi\) |
0.831224 | + | 0.555937i | \(0.187640\pi\) | |||||||
\(504\) | 8.67089 | + | 2.81734i | 0.386232 | + | 0.125494i | ||||
\(505\) | 0.936660 | − | 4.16493i | 0.0416808 | − | 0.185337i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 3.57347 | + | 3.57347i | 0.158703 | + | 0.158703i | ||||
\(508\) | 14.8002 | − | 7.54106i | 0.656651 | − | 0.334581i | ||||
\(509\) | −5.45800 | − | 7.51230i | −0.241922 | − | 0.332977i | 0.670740 | − | 0.741693i | \(-0.265977\pi\) |
−0.912662 | + | 0.408716i | \(0.865977\pi\) | |||||||
\(510\) | 0.420049 | − | 6.54078i | 0.0186001 | − | 0.289630i | ||||
\(511\) | 13.3398 | + | 41.0556i | 0.590117 | + | 1.81619i | ||||
\(512\) | 20.1924 | + | 10.2886i | 0.892388 | + | 0.454695i | ||||
\(513\) | −3.43542 | − | 21.6904i | −0.151678 | − | 0.957654i | ||||
\(514\) | −1.67530 | + | 1.21718i | −0.0738944 | + | 0.0536875i | ||||
\(515\) | −3.41442 | − | 13.3704i | −0.150457 | − | 0.589171i | ||||
\(516\) | − | 14.3987i | − | 0.633868i | ||||||
\(517\) | 0 | 0 | ||||||||
\(518\) | 1.17149 | − | 1.17149i | 0.0514723 | − | 0.0514723i | ||||
\(519\) | −4.64826 | + | 14.3059i | −0.204036 | + | 0.627958i | ||||
\(520\) | 4.75956 | + | 11.0380i | 0.208721 | + | 0.484050i | ||||
\(521\) | 11.9792 | + | 8.70338i | 0.524817 | + | 0.381302i | 0.818416 | − | 0.574627i | \(-0.194853\pi\) |
−0.293598 | + | 0.955929i | \(0.594853\pi\) | |||||||
\(522\) | 0.997836 | − | 1.95836i | 0.0436741 | − | 0.0857152i | ||||
\(523\) | 17.6345 | − | 34.6096i | 0.771102 | − | 1.51337i | −0.0848935 | − | 0.996390i | \(-0.527055\pi\) |
0.855996 | − | 0.516983i | \(-0.172945\pi\) | |||||||
\(524\) | −10.7122 | − | 7.78284i | −0.467963 | − | 0.339995i | ||||
\(525\) | −3.07075 | − | 16.3280i | −0.134019 | − | 0.712612i | ||||
\(526\) | 3.45364 | − | 10.6292i | 0.150586 | − | 0.463456i | ||||
\(527\) | 25.1096 | − | 25.1096i | 1.09379 | − | 1.09379i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 14.0073i | 0.609011i | ||||||||
\(530\) | 1.38785 | + | 0.823211i | 0.0602845 | + | 0.0357580i | ||||
\(531\) | 2.21021 | − | 1.60581i | 0.0959148 | − | 0.0696862i | ||||
\(532\) | 3.29448 | + | 20.8005i | 0.142834 | + | 0.901817i | ||||
\(533\) | −9.27081 | − | 4.72371i | −0.401563 | − | 0.204607i | ||||
\(534\) | 1.92097 | + | 5.91214i | 0.0831285 | + | 0.255843i | ||||
\(535\) | 0.971870 | + | 0.0624135i | 0.0420176 | + | 0.00269837i | ||||
\(536\) | −2.00747 | − | 2.76304i | −0.0867095 | − | 0.119345i | ||||
\(537\) | −2.26054 | + | 1.15180i | −0.0975495 | + | 0.0497039i | ||||
\(538\) | −7.89771 | − | 7.89771i | −0.340495 | − | 0.340495i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −17.8309 | + | 11.2833i | −0.767320 | + | 0.485558i | ||||
\(541\) | −16.5674 | − | 5.38306i | −0.712286 | − | 0.231436i | −0.0696106 | − | 0.997574i | \(-0.522176\pi\) |
−0.642676 | + | 0.766138i | \(0.722176\pi\) | |||||||
\(542\) | 0.670600 | + | 0.106213i | 0.0288047 | + | 0.00456222i | ||||
\(543\) | 4.87803 | − | 0.772603i | 0.209336 | − | 0.0331556i | ||||
\(544\) | 24.8318 | − | 8.06835i | 1.06466 | − | 0.345928i | ||||
\(545\) | −1.96471 | − | 21.0769i | −0.0841588 | − | 0.902834i | ||||
\(546\) | 2.79127 | − | 3.84186i | 0.119455 | − | 0.164416i | ||||
\(547\) | −6.13326 | + | 38.7239i | −0.262239 | + | 1.65571i | 0.407565 | + | 0.913176i | \(0.366378\pi\) |
−0.669804 | + | 0.742538i | \(0.733622\pi\) | |||||||
\(548\) | 12.2911 | + | 24.1226i | 0.525049 | + | 1.03047i | ||||
\(549\) | 11.8076 | 0.503936 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 10.8414 | 0.461858 | ||||||||
\(552\) | −2.84931 | − | 5.59209i | −0.121275 | − | 0.238015i | ||||
\(553\) | −6.95558 | + | 43.9158i | −0.295781 | + | 1.86749i | ||||
\(554\) | −4.09197 | + | 5.63211i | −0.173851 | + | 0.239285i | ||||
\(555\) | 0.275069 | + | 2.95087i | 0.0116760 | + | 0.125258i | ||||
\(556\) | 6.97329 | − | 2.26576i | 0.295733 | − | 0.0960896i | ||||
\(557\) | 36.2493 | − | 5.74133i | 1.53593 | − | 0.243268i | 0.669595 | − | 0.742727i | \(-0.266468\pi\) |
0.866338 | + | 0.499459i | \(0.166468\pi\) | |||||||
\(558\) | 5.53305 | + | 0.876348i | 0.234232 | + | 0.0370988i | ||||
\(559\) | 19.9678 | + | 6.48793i | 0.844548 | + | 0.274410i | ||||
\(560\) | 14.4711 | − | 9.15725i | 0.611514 | − | 0.386964i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 8.76280 | + | 8.76280i | 0.369636 | + | 0.369636i | ||||
\(563\) | −15.0411 | + | 7.66381i | −0.633906 | + | 0.322991i | −0.741248 | − | 0.671231i | \(-0.765766\pi\) |
0.107342 | + | 0.994222i | \(0.465766\pi\) | |||||||
\(564\) | −4.34326 | − | 5.97799i | −0.182884 | − | 0.251719i | ||||
\(565\) | −45.2241 | − | 2.90429i | −1.90259 | − | 0.122185i | ||||
\(566\) | −1.11832 | − | 3.44182i | −0.0470063 | − | 0.144671i | ||||
\(567\) | 2.59368 | + | 1.32155i | 0.108924 | + | 0.0554997i | ||||
\(568\) | −0.825608 | − | 5.21268i | −0.0346417 | − | 0.218719i | ||||
\(569\) | 2.14294 | − | 1.55694i | 0.0898368 | − | 0.0652703i | −0.541960 | − | 0.840404i | \(-0.682318\pi\) |
0.631797 | + | 0.775134i | \(0.282318\pi\) | |||||||
\(570\) | 4.38656 | + | 2.60191i | 0.183733 | + | 0.108982i | ||||
\(571\) | − | 29.8675i | − | 1.24992i | −0.780658 | − | 0.624959i | \(-0.785116\pi\) | ||
0.780658 | − | 0.624959i | \(-0.214884\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 3.28527 | − | 3.28527i | 0.137244 | − | 0.137244i | ||||
\(574\) | 1.56473 | − | 4.81574i | 0.0653105 | − | 0.201005i | ||||
\(575\) | 8.46007 | − | 12.3792i | 0.352809 | − | 0.516250i | ||||
\(576\) | −3.89881 | − | 2.83265i | −0.162450 | − | 0.118027i | ||||
\(577\) | −0.162935 | + | 0.319779i | −0.00678309 | + | 0.0133126i | −0.894373 | − | 0.447322i | \(-0.852378\pi\) |
0.887590 | + | 0.460634i | \(0.152378\pi\) | |||||||
\(578\) | 2.38394 | − | 4.67875i | 0.0991589 | − | 0.194610i | ||||
\(579\) | 19.2655 | + | 13.9972i | 0.800649 | + | 0.581705i | ||||
\(580\) | −4.12465 | − | 9.56560i | −0.171267 | − | 0.397190i | ||||
\(581\) | 6.02257 | − | 18.5356i | 0.249858 | − | 0.768985i | ||||
\(582\) | −3.96123 | + | 3.96123i | −0.164198 | + | 0.164198i | ||||
\(583\) | 0 | 0 | ||||||||
\(584\) | 27.1896i | 1.12511i | ||||||||
\(585\) | −2.75557 | − | 10.7905i | −0.113929 | − | 0.446130i | ||||
\(586\) | 5.79867 | − | 4.21298i | 0.239541 | − | 0.174037i | ||||
\(587\) | 4.04336 | + | 25.5288i | 0.166887 | + | 1.05368i | 0.918887 | + | 0.394521i | \(0.129090\pi\) |
−0.752000 | + | 0.659164i | \(0.770910\pi\) | |||||||
\(588\) | −2.69216 | − | 1.37172i | −0.111023 | − | 0.0565690i | ||||
\(589\) | 8.53884 | + | 26.2798i | 0.351837 | + | 1.08284i | ||||
\(590\) | −0.112341 | + | 1.74931i | −0.00462499 | + | 0.0720178i | ||||
\(591\) | −0.202473 | − | 0.278680i | −0.00832861 | − | 0.0114634i | ||||
\(592\) | −2.72183 | + | 1.38684i | −0.111867 | + | 0.0569989i | ||||
\(593\) | −9.56872 | − | 9.56872i | −0.392940 | − | 0.392940i | 0.482794 | − | 0.875734i | \(-0.339622\pi\) |
−0.875734 | + | 0.482794i | \(0.839622\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 7.53787 | − | 33.5177i | 0.309022 | − | 1.37409i | ||||
\(596\) | −30.1178 | − | 9.78585i | −1.23367 | − | 0.400844i | ||||
\(597\) | 12.4704 | + | 1.97512i | 0.510381 | + | 0.0808364i | ||||
\(598\) | 4.23291 | − | 0.670427i | 0.173096 | − | 0.0274158i | ||||
\(599\) | 10.7687 | − | 3.49896i | 0.439997 | − | 0.142964i | −0.0806373 | − | 0.996744i | \(-0.525696\pi\) |
0.520634 | + | 0.853780i | \(0.325696\pi\) | |||||||
\(600\) | 1.33854 | − | 10.3785i | 0.0546456 | − | 0.423701i | ||||
\(601\) | −9.69211 | + | 13.3401i | −0.395350 | + | 0.544152i | −0.959569 | − | 0.281473i | \(-0.909177\pi\) |
0.564220 | + | 0.825625i | \(0.309177\pi\) | |||||||
\(602\) | −1.59837 | + | 10.0917i | −0.0651446 | + | 0.411307i | ||||
\(603\) | 1.43653 | + | 2.81934i | 0.0584999 | + | 0.114812i | ||||
\(604\) | 31.3413 | 1.27526 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −1.06223 | −0.0431503 | ||||||||
\(607\) | −2.26285 | − | 4.44109i | −0.0918461 | − | 0.180258i | 0.840513 | − | 0.541791i | \(-0.182254\pi\) |
−0.932359 | + | 0.361533i | \(0.882254\pi\) | |||||||
\(608\) | −3.17832 | + | 20.0671i | −0.128898 | + | 0.813828i | ||||
\(609\) | −5.16532 | + | 7.10945i | −0.209309 | + | 0.288090i | ||||
\(610\) | −4.83678 | + | 5.83121i | −0.195835 | + | 0.236099i | ||||
\(611\) | 10.2472 | − | 3.32951i | 0.414556 | − | 0.134697i | ||||
\(612\) | −15.5986 | + | 2.47057i | −0.630536 | + | 0.0998670i | ||||
\(613\) | 18.0546 | + | 2.85957i | 0.729218 | + | 0.115497i | 0.509994 | − | 0.860178i | \(-0.329648\pi\) |
0.219224 | + | 0.975675i | \(0.429648\pi\) | |||||||
\(614\) | 0.574683 | + | 0.186726i | 0.0231923 | + | 0.00753565i | ||||
\(615\) | 4.84357 | + | 7.65423i | 0.195312 | + | 0.308648i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 15.4942 | + | 15.4942i | 0.623773 | + | 0.623773i | 0.946494 | − | 0.322721i | \(-0.104598\pi\) |
−0.322721 | + | 0.946494i | \(0.604598\pi\) | |||||||
\(618\) | −3.05945 | + | 1.55887i | −0.123069 | + | 0.0627068i | ||||
\(619\) | −28.9283 | − | 39.8164i | −1.16273 | − | 1.60036i | −0.700622 | − | 0.713533i | \(-0.747094\pi\) |
−0.462106 | − | 0.886825i | \(-0.652906\pi\) | |||||||
\(620\) | 19.9387 | − | 17.5323i | 0.800757 | − | 0.704114i | ||||
\(621\) | 4.96431 | + | 15.2786i | 0.199211 | + | 0.613109i | ||||
\(622\) | 6.15549 | + | 3.13638i | 0.246813 | + | 0.125757i | ||||
\(623\) | 5.09725 | + | 32.1828i | 0.204217 | + | 1.28938i | ||||
\(624\) | −7.08383 | + | 5.14670i | −0.283580 | + | 0.206033i | ||||
\(625\) | 23.2920 | − | 9.08211i | 0.931678 | − | 0.363284i | ||||
\(626\) | 0.361199i | 0.0144364i | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 26.7363 | − | 26.7363i | 1.06689 | − | 1.06689i | ||||
\(629\) | −1.89374 | + | 5.82832i | −0.0755082 | + | 0.232390i | ||||
\(630\) | 4.97678 | − | 2.14597i | 0.198280 | − | 0.0854974i | ||||
\(631\) | 7.32346 | + | 5.32080i | 0.291542 | + | 0.211818i | 0.723936 | − | 0.689867i | \(-0.242331\pi\) |
−0.432394 | + | 0.901685i | \(0.642331\pi\) | |||||||
\(632\) | −12.7141 | + | 24.9528i | −0.505739 | + | 0.992568i | ||||
\(633\) | 4.58058 | − | 8.98990i | 0.182062 | − | 0.357316i | ||||
\(634\) | −6.74238 | − | 4.89863i | −0.267774 | − | 0.194549i | ||||
\(635\) | 7.78754 | − | 19.5946i | 0.309039 | − | 0.777588i | ||||
\(636\) | −0.916496 | + | 2.82068i | −0.0363414 | + | 0.111847i | ||||
\(637\) | 3.11534 | − | 3.11534i | 0.123434 | − | 0.123434i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 4.88965i | 0.193432i | ||||||||
\(640\) | 24.4716 | − | 6.24932i | 0.967323 | − | 0.247026i | ||||
\(641\) | 22.5944 | − | 16.4158i | 0.892426 | − | 0.648385i | −0.0440836 | − | 0.999028i | \(-0.514037\pi\) |
0.936509 | + | 0.350643i | \(0.114037\pi\) | |||||||
\(642\) | −0.0379082 | − | 0.239343i | −0.00149612 | − | 0.00944611i | ||||
\(643\) | 8.57987 | + | 4.37166i | 0.338357 | + | 0.172401i | 0.614910 | − | 0.788597i | \(-0.289192\pi\) |
−0.276553 | + | 0.960999i | \(0.589192\pi\) | |||||||
\(644\) | −4.76065 | − | 14.6518i | −0.187596 | − | 0.577361i | ||||
\(645\) | −12.0694 | − | 13.7260i | −0.475231 | − | 0.540459i | ||||
\(646\) | 6.19886 | + | 8.53199i | 0.243891 | + | 0.335687i | ||||
\(647\) | −27.5778 | + | 14.0516i | −1.08420 | + | 0.552425i | −0.902395 | − | 0.430910i | \(-0.858193\pi\) |
−0.181801 | + | 0.983335i | \(0.558193\pi\) | |||||||
\(648\) | 1.29645 | + | 1.29645i | 0.0509296 | + | 0.0509296i | ||||
\(649\) | 0 | 0 | ||||||||
\(650\) | 6.45766 | + | 3.05928i | 0.253290 | + | 0.119995i | ||||
\(651\) | −21.3018 | − | 6.92139i | −0.834885 | − | 0.271270i | ||||
\(652\) | −18.1378 | − | 2.87275i | −0.710332 | − | 0.112506i | ||||
\(653\) | 6.03516 | − | 0.955876i | 0.236174 | − | 0.0374063i | −0.0372253 | − | 0.999307i | \(-0.511852\pi\) |
0.273399 | + | 0.961901i | \(0.411852\pi\) | |||||||
\(654\) | −5.00945 | + | 1.62767i | −0.195885 | + | 0.0636468i | ||||
\(655\) | −16.7354 | + | 1.56002i | −0.653908 | + | 0.0609548i | ||||
\(656\) | −5.48785 | + | 7.55337i | −0.214264 | + | 0.294910i | ||||
\(657\) | 3.94069 | − | 24.8805i | 0.153741 | − | 0.970682i | ||||
\(658\) | 2.38048 | + | 4.67195i | 0.0928008 | + | 0.182132i | ||||
\(659\) | 12.0647 | 0.469975 | 0.234988 | − | 0.971998i | \(-0.424495\pi\) | ||||
0.234988 | + | 0.971998i | \(0.424495\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −29.6228 | −1.15219 | −0.576097 | − | 0.817382i | \(-0.695425\pi\) | ||||
−0.576097 | + | 0.817382i | \(0.695425\pi\) | |||||||
\(662\) | 3.30754 | + | 6.49141i | 0.128551 | + | 0.252296i | ||||
\(663\) | −2.74789 | + | 17.3495i | −0.106719 | + | 0.673799i | ||||
\(664\) | 7.21531 | − | 9.93103i | 0.280008 | − | 0.385399i | ||||
\(665\) | 20.5761 | + | 17.0671i | 0.797907 | + | 0.661835i | ||||
\(666\) | −0.919461 | + | 0.298751i | −0.0356284 | + | 0.0115764i | ||||
\(667\) | −7.83310 | + | 1.24064i | −0.303299 | + | 0.0480378i | ||||
\(668\) | −19.6478 | − | 3.11190i | −0.760195 | − | 0.120403i | ||||
\(669\) | 6.69903 | + | 2.17665i | 0.259000 | + | 0.0841541i | ||||
\(670\) | −1.98079 | − | 0.445463i | −0.0765244 | − | 0.0172097i | ||||
\(671\) | 0 | 0 | ||||||||
\(672\) | −11.6451 | − | 11.6451i | −0.449220 | − | 0.449220i | ||||
\(673\) | 4.48693 | − | 2.28621i | 0.172958 | − | 0.0881267i | −0.365368 | − | 0.930863i | \(-0.619057\pi\) |
0.538326 | + | 0.842736i | \(0.319057\pi\) | |||||||
\(674\) | 2.70894 | + | 3.72853i | 0.104344 | + | 0.143618i | ||||
\(675\) | −7.53979 | + | 25.7025i | −0.290207 | + | 0.989289i | ||||
\(676\) | 2.41443 | + | 7.43084i | 0.0928626 | + | 0.285802i | ||||
\(677\) | 32.4380 | + | 16.5280i | 1.24670 | + | 0.635223i | 0.947740 | − | 0.319044i | \(-0.103362\pi\) |
0.298956 | + | 0.954267i | \(0.403362\pi\) | |||||||
\(678\) | 1.76398 | + | 11.1374i | 0.0677454 | + | 0.427728i | ||||
\(679\) | −23.7557 | + | 17.2595i | −0.911661 | + | 0.662360i | ||||
\(680\) | 11.0390 | − | 18.6107i | 0.423328 | − | 0.713690i | ||||
\(681\) | 3.77894i | 0.144809i | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −8.07353 | + | 8.07353i | −0.308925 | + | 0.308925i | −0.844492 | − | 0.535567i | \(-0.820098\pi\) |
0.535567 | + | 0.844492i | \(0.320098\pi\) | |||||||
\(684\) | 3.79761 | − | 11.6878i | 0.145205 | − | 0.446895i | ||||
\(685\) | 31.9370 | + | 12.6928i | 1.22025 | + | 0.484968i | ||||
\(686\) | −6.33082 | − | 4.59961i | −0.241712 | − | 0.175614i | ||||
\(687\) | 2.76215 | − | 5.42103i | 0.105383 | − | 0.206825i | ||||
\(688\) | 8.55298 | − | 16.7862i | 0.326079 | − | 0.639967i | ||||
\(689\) | −3.49870 | − | 2.54195i | −0.133290 | − | 0.0968407i | ||||
\(690\) | −3.46712 | − | 1.37795i | −0.131991 | − | 0.0524576i | ||||
\(691\) | −3.67098 | + | 11.2981i | −0.139651 | + | 0.429801i | −0.996284 | − | 0.0861243i | \(-0.972552\pi\) |
0.856634 | + | 0.515925i | \(0.172552\pi\) | |||||||
\(692\) | −16.4445 | + | 16.4445i | −0.625125 | + | 0.625125i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | − | 9.39538i | − | 0.356644i | ||||||
\(695\) | 4.74826 | − | 8.00509i | 0.180112 | − | 0.303650i | ||||
\(696\) | −4.47789 | + | 3.25338i | −0.169734 | + | 0.123319i | ||||
\(697\) | 2.93003 | + | 18.4995i | 0.110983 | + | 0.700719i | ||||
\(698\) | −6.47142 | − | 3.29735i | −0.244947 | − | 0.124807i | ||||
\(699\) | 1.55559 | + | 4.78761i | 0.0588378 | + | 0.181084i | ||||
\(700\) | 7.23046 | − | 24.6480i | 0.273286 | − | 0.931608i | ||||
\(701\) | −15.6038 | − | 21.4768i | −0.589348 | − | 0.811169i | 0.405333 | − | 0.914169i | \(-0.367156\pi\) |
−0.994681 | + | 0.103001i | \(0.967156\pi\) | |||||||
\(702\) | −6.82157 | + | 3.47577i | −0.257464 | + | 0.131184i | ||||
\(703\) | −3.37197 | − | 3.37197i | −0.127176 | − | 0.127176i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −9.15124 | − | 2.05804i | −0.344655 | − | 0.0775102i | ||||
\(706\) | −1.17180 | − | 0.380741i | −0.0441012 | − | 0.0143294i | ||||
\(707\) | −5.49928 | − | 0.871000i | −0.206822 | − | 0.0327573i | ||||
\(708\) | −3.18217 | + | 0.504006i | −0.119593 | + | 0.0189417i | ||||
\(709\) | −16.9867 | + | 5.51933i | −0.637950 | + | 0.207283i | −0.610094 | − | 0.792329i | \(-0.708868\pi\) |
−0.0278567 | + | 0.999612i | \(0.508868\pi\) | |||||||
\(710\) | −2.41477 | − | 2.00296i | −0.0906245 | − | 0.0751698i | ||||
\(711\) | 15.2508 | − | 20.9909i | 0.571950 | − | 0.787222i | ||||
\(712\) | −3.21050 | + | 20.2703i | −0.120319 | + | 0.759662i | ||||
\(713\) | −9.17683 | − | 18.0105i | −0.343675 | − | 0.674500i | ||||
\(714\) | −8.54844 | −0.319917 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −3.92246 | −0.146589 | ||||||||
\(717\) | 5.40685 | + | 10.6115i | 0.201923 | + | 0.396295i | ||||
\(718\) | −0.648729 | + | 4.09591i | −0.0242103 | + | 0.152858i | ||||
\(719\) | 19.2585 | − | 26.5071i | 0.718222 | − | 0.988547i | −0.281359 | − | 0.959603i | \(-0.590785\pi\) |
0.999581 | − | 0.0289450i | \(-0.00921475\pi\) | |||||||
\(720\) | −9.95007 | + | 0.927509i | −0.370817 | + | 0.0345662i | ||||
\(721\) | −17.1172 | + | 5.56173i | −0.637479 | + | 0.207130i | ||||
\(722\) | 1.05881 | − | 0.167699i | 0.0394048 | − | 0.00624111i | ||||
\(723\) | 31.3495 | + | 4.96527i | 1.16590 | + | 0.184660i | ||||
\(724\) | 7.26202 | + | 2.35957i | 0.269891 | + | 0.0876929i | ||||
\(725\) | −11.9501 | − | 5.66127i | −0.443814 | − | 0.210254i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 0.964903 | + | 0.964903i | 0.0357863 | + | 0.0357863i | 0.724773 | − | 0.688987i | \(-0.241944\pi\) |
−0.688987 | + | 0.724773i | \(0.741944\pi\) | |||||||
\(728\) | 13.9690 | − | 7.11758i | 0.517727 | − | 0.263795i | ||||
\(729\) | −11.7614 | − | 16.1882i | −0.435609 | − | 0.599564i | ||||
\(730\) | 10.6731 | + | 12.1380i | 0.395028 | + | 0.449247i | ||||
\(731\) | −11.6791 | − | 35.9446i | −0.431968 | − | 1.32946i | ||||
\(732\) | −12.4071 | − | 6.32174i | −0.458580 | − | 0.233658i | ||||
\(733\) | 1.84488 | + | 11.6481i | 0.0681422 | + | 0.430233i | 0.998049 | + | 0.0624374i | \(0.0198874\pi\) |
−0.929907 | + | 0.367796i | \(0.880113\pi\) | |||||||
\(734\) | −8.38724 | + | 6.09369i | −0.309579 | + | 0.224922i | ||||
\(735\) | −3.71619 | + | 0.949007i | −0.137074 | + | 0.0350047i | ||||
\(736\) | − | 14.8626i | − | 0.547842i | ||||||
\(737\) | 0 | 0 | ||||||||
\(738\) | −2.08937 | + | 2.08937i | −0.0769107 | + | 0.0769107i | ||||
\(739\) | −13.3170 | + | 40.9856i | −0.489875 | + | 1.50768i | 0.334919 | + | 0.942247i | \(0.391291\pi\) |
−0.824794 | + | 0.565434i | \(0.808709\pi\) | |||||||
\(740\) | −1.69229 | + | 4.25805i | −0.0622098 | + | 0.156529i | ||||
\(741\) | −11.0583 | − | 8.03430i | −0.406235 | − | 0.295147i | ||||
\(742\) | 0.955467 | − | 1.87521i | 0.0350763 | − | 0.0688411i | ||||
\(743\) | −17.2126 | + | 33.7816i | −0.631468 | + | 1.23933i | 0.324509 | + | 0.945883i | \(0.394801\pi\) |
−0.955977 | + | 0.293443i | \(0.905199\pi\) | |||||||
\(744\) | −11.4131 | − | 8.29213i | −0.418426 | − | 0.304004i | ||||
\(745\) | −36.9133 | + | 15.9169i | −1.35240 | + | 0.583149i | ||||
\(746\) | 0.549420 | − | 1.69094i | 0.0201157 | − | 0.0619098i | ||||
\(747\) | −8.04189 | + | 8.04189i | −0.294237 | + | 0.294237i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | − | 1.27018i | − | 0.0464114i | ||||||
\(750\) | −3.47645 | − | 5.15861i | −0.126942 | − | 0.188366i | ||||
\(751\) | −28.2437 | + | 20.5203i | −1.03063 | + | 0.748795i | −0.968434 | − | 0.249269i | \(-0.919810\pi\) |
−0.0621941 | + | 0.998064i | \(0.519810\pi\) | |||||||
\(752\) | −1.51244 | − | 9.54914i | −0.0551528 | − | 0.348221i | ||||
\(753\) | 10.0972 | + | 5.14480i | 0.367964 | + | 0.187487i | ||||
\(754\) | −1.16795 | − | 3.59457i | −0.0425341 | − | 0.130907i | ||||
\(755\) | 29.8770 | − | 26.2711i | 1.08733 | − | 0.956104i | ||||
\(756\) | 16.1766 | + | 22.2652i | 0.588337 | + | 0.809777i | ||||
\(757\) | −30.7182 | + | 15.6517i | −1.11647 | + | 0.568870i | −0.912077 | − | 0.410019i | \(-0.865522\pi\) |
−0.204393 | + | 0.978889i | \(0.565522\pi\) | |||||||
\(758\) | 5.72618 | + | 5.72618i | 0.207984 | + | 0.207984i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 9.00370 | + | 14.2284i | 0.326598 | + | 0.516119i | ||||
\(761\) | 13.2335 | + | 4.29984i | 0.479716 | + | 0.155869i | 0.538886 | − | 0.842379i | \(-0.318845\pi\) |
−0.0591701 | + | 0.998248i | \(0.518845\pi\) | |||||||
\(762\) | −5.18204 | − | 0.820754i | −0.187725 | − | 0.0297328i | ||||
\(763\) | −27.2690 | + | 4.31898i | −0.987203 | + | 0.156358i | ||||
\(764\) | 6.83155 | − | 2.21970i | 0.247157 | − | 0.0803061i | ||||
\(765\) | −12.7989 | + | 15.4303i | −0.462744 | + | 0.557883i | ||||
\(766\) | 3.25512 | − | 4.48028i | 0.117612 | − | 0.161879i | ||||
\(767\) | 0.734913 | − | 4.64006i | 0.0265362 | − | 0.167543i | ||||
\(768\) | 0.0763239 | + | 0.149794i | 0.00275410 | + | 0.00540523i | ||||
\(769\) | −13.3273 | −0.480596 | −0.240298 | − | 0.970699i | \(-0.577245\pi\) | ||||
−0.240298 | + | 0.970699i | \(0.577245\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −4.83143 | −0.174000 | ||||||||
\(772\) | 16.7146 | + | 32.8043i | 0.601573 | + | 1.18065i | ||||
\(773\) | −1.95537 | + | 12.3457i | −0.0703298 | + | 0.444045i | 0.927246 | + | 0.374453i | \(0.122170\pi\) |
−0.997576 | + | 0.0695917i | \(0.977830\pi\) | |||||||
\(774\) | 3.50458 | − | 4.82364i | 0.125970 | − | 0.173382i | ||||
\(775\) | 4.31105 | − | 33.4263i | 0.154858 | − | 1.20071i | ||||
\(776\) | −17.5895 | + | 5.71518i | −0.631427 | + | 0.205163i | ||||
\(777\) | 3.81780 | − | 0.604680i | 0.136963 | − | 0.0216928i | ||||
\(778\) | 0.394336 | + | 0.0624567i | 0.0141376 | + | 0.00223918i | ||||
\(779\) | −13.8614 | − | 4.50386i | −0.496638 | − | 0.161367i | ||||
\(780\) | −2.88168 | + | 12.8136i | −0.103181 | + | 0.458802i | ||||
\(781\) | 0 | 0 | ||||||||
\(782\) | −5.45516 | − | 5.45516i | −0.195076 | − | 0.195076i | ||||
\(783\) | 12.6235 | − | 6.43199i | 0.451127 | − | 0.229861i | ||||
\(784\) | −2.32373 | − | 3.19834i | −0.0829904 | − | 0.114227i | ||||
\(785\) | 3.07602 | − | 47.8981i | 0.109788 | − | 1.70956i | ||||
\(786\) | 1.29240 | + | 3.97760i | 0.0460984 | + | 0.141876i | ||||
\(787\) | 5.60690 | + | 2.85686i | 0.199864 | + | 0.101836i | 0.551058 | − | 0.834467i | \(-0.314224\pi\) |
−0.351194 | + | 0.936303i | \(0.614224\pi\) | |||||||
\(788\) | −0.0833119 | − | 0.526011i | −0.00296786 | − | 0.0187384i | ||||
\(789\) | 21.0956 | − | 15.3269i | 0.751024 | − | 0.545651i | ||||
\(790\) | 4.11919 | + | 16.1302i | 0.146554 | + | 0.573888i | ||||
\(791\) | 59.1055i | 2.10155i | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 14.3574 | − | 14.3574i | 0.509846 | − | 0.509846i | ||||
\(794\) | 2.52901 | − | 7.78350i | 0.0897512 | − | 0.276226i | ||||
\(795\) | 1.49070 | + | 3.45712i | 0.0528696 | + | 0.122612i | ||||
\(796\) | 15.7923 | + | 11.4738i | 0.559744 | + | 0.406678i | ||||
\(797\) | −0.802918 | + | 1.57581i | −0.0284408 | + | 0.0558182i | −0.904790 | − | 0.425859i | \(-0.859972\pi\) |
0.876349 | + | 0.481677i | \(0.159972\pi\) | |||||||
\(798\) | 3.01992 | − | 5.92693i | 0.106904 | − | 0.209811i | ||||
\(799\) | −15.6913 | − | 11.4004i | −0.555118 | − | 0.403317i | ||||
\(800\) | 13.9822 | − | 20.4596i | 0.494346 | − | 0.723355i | ||||
\(801\) | 5.87569 | − | 18.0835i | 0.207607 | − | 0.638950i | ||||
\(802\) | −9.82669 | + | 9.82669i | −0.346992 | + | 0.346992i | ||||
\(803\) | 0 | 0 | ||||||||
\(804\) | − | 3.73160i | − | 0.131603i | ||||||
\(805\) | −16.8197 | − | 9.97669i | −0.592817 | − | 0.351632i | ||||
\(806\) | 7.79346 | − | 5.66228i | 0.274513 | − | 0.199445i | ||||
\(807\) | −4.07651 | − | 25.7381i | −0.143500 | − | 0.906023i | ||||
\(808\) | −3.12466 | − | 1.59210i | −0.109925 | − | 0.0560097i | ||||
\(809\) | −5.70252 | − | 17.5505i | −0.200490 | − | 0.617044i | −0.999869 | − | 0.0162167i | \(-0.994838\pi\) |
0.799379 | − | 0.600828i | \(-0.205162\pi\) | |||||||
\(810\) | 1.08768 | + | 0.0698506i | 0.0382171 | + | 0.00245430i | ||||
\(811\) | −7.66716 | − | 10.5529i | −0.269230 | − | 0.370564i | 0.652899 | − | 0.757445i | \(-0.273552\pi\) |
−0.922130 | + | 0.386881i | \(0.873552\pi\) | |||||||
\(812\) | −12.1056 | + | 6.16811i | −0.424823 | + | 0.216458i | ||||
\(813\) | 1.12013 | + | 1.12013i | 0.0392847 | + | 0.0392847i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −19.6984 | + | 12.4651i | −0.690004 | + | 0.436633i | ||||
\(816\) | 14.9906 | + | 4.87075i | 0.524777 | + | 0.170510i | ||||
\(817\) | 29.0476 | + | 4.60068i | 1.01625 | + | 0.160957i | ||||
\(818\) | −1.16852 | + | 0.185075i | −0.0408562 | + | 0.00647099i | ||||
\(819\) | −13.8143 | + | 4.48853i | −0.482710 | + | 0.156842i | ||||
\(820\) | 1.29979 | + | 13.9438i | 0.0453905 | + | 0.486938i | ||||
\(821\) | −15.3089 | + | 21.0709i | −0.534283 | + | 0.735378i | −0.987776 | − | 0.155882i | \(-0.950178\pi\) |
0.453492 | + | 0.891260i | \(0.350178\pi\) | |||||||
\(822\) | 1.33774 | − | 8.44614i | 0.0466590 | − | 0.294593i | ||||
\(823\) | 2.28095 | + | 4.47662i | 0.0795089 | + | 0.156045i | 0.927338 | − | 0.374224i | \(-0.122091\pi\) |
−0.847829 | + | 0.530269i | \(0.822091\pi\) | |||||||
\(824\) | −11.3361 | −0.394912 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 2.28625 | 0.0795488 | ||||||||
\(827\) | 5.52543 | + | 10.8443i | 0.192138 | + | 0.377092i | 0.966898 | − | 0.255164i | \(-0.0821293\pi\) |
−0.774760 | + | 0.632255i | \(0.782129\pi\) | |||||||
\(828\) | −1.40634 | + | 8.87927i | −0.0488736 | + | 0.308576i | ||||
\(829\) | −6.47245 | + | 8.90857i | −0.224798 | + | 0.309407i | −0.906487 | − | 0.422235i | \(-0.861246\pi\) |
0.681689 | + | 0.731642i | \(0.261246\pi\) | |||||||
\(830\) | −0.677284 | − | 7.26572i | −0.0235089 | − | 0.252197i | ||||
\(831\) | −15.4475 | + | 5.01921i | −0.535869 | + | 0.174114i | ||||
\(832\) | −8.18508 | + | 1.29639i | −0.283766 | + | 0.0449442i | ||||
\(833\) | −7.83329 | − | 1.24067i | −0.271407 | − | 0.0429867i | ||||
\(834\) | −2.20259 | − | 0.715663i | −0.0762693 | − | 0.0247814i | ||||
\(835\) | −21.3382 | + | 13.5028i | −0.738440 | + | 0.467283i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 25.5338 | + | 25.5338i | 0.882578 | + | 0.882578i | ||||
\(838\) | −7.15202 | + | 3.64414i | −0.247062 | + | 0.125885i | ||||
\(839\) | 5.46148 | + | 7.51708i | 0.188551 | + | 0.259518i | 0.892819 | − | 0.450416i | \(-0.148724\pi\) |
−0.704268 | + | 0.709935i | \(0.748724\pi\) | |||||||
\(840\) | −13.6203 | − | 0.874698i | −0.469946 | − | 0.0301800i | ||||
\(841\) | −6.80018 | − | 20.9288i | −0.234489 | − | 0.721683i | ||||
\(842\) | −5.42516 | − | 2.76426i | −0.186963 | − | 0.0952626i | ||||
\(843\) | 4.52303 | + | 28.5573i | 0.155782 | + | 0.983566i | ||||
\(844\) | 12.6200 | − | 9.16895i | 0.434397 | − | 0.315608i | ||||
\(845\) | 8.53034 | + | 5.05981i | 0.293453 | + | 0.174063i | ||||
\(846\) | − | 3.05979i | − | 0.105198i | ||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | −2.74398 | + | 2.74398i | −0.0942286 | + | 0.0942286i | ||||
\(849\) | 2.60918 | − | 8.03024i | 0.0895469 | − | 0.275597i | ||||
\(850\) | −2.37745 | − | 12.6415i | −0.0815457 | − | 0.433600i | ||||
\(851\) | 2.82219 | + | 2.05044i | 0.0967435 | + | 0.0702882i | ||||
\(852\) | 2.61790 | − | 5.13791i | 0.0896877 | − | 0.176022i | ||||
\(853\) | 12.2787 | − | 24.0984i | 0.420416 | − | 0.825113i | −0.579532 | − | 0.814949i | \(-0.696765\pi\) |
0.999948 | − | 0.0101637i | \(-0.00323527\pi\) | |||||||
\(854\) | 7.99407 | + | 5.80803i | 0.273551 | + | 0.198747i | ||||
\(855\) | −6.17688 | − | 14.3250i | −0.211245 | − | 0.489904i | ||||
\(856\) | 0.247221 | − | 0.760867i | 0.00844983 | − | 0.0260059i | ||||
\(857\) | 33.1497 | − | 33.1497i | 1.13237 | − | 1.13237i | 0.142591 | − | 0.989782i | \(-0.454457\pi\) |
0.989782 | − | 0.142591i | \(-0.0455432\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | − | 47.2517i | − | 1.61221i | −0.591775 | − | 0.806103i | \(-0.701573\pi\) | ||
0.591775 | − | 0.806103i | \(-0.298427\pi\) | |||||||
\(860\) | −6.99197 | − | 27.3797i | −0.238424 | − | 0.933639i | ||||
\(861\) | 9.55771 | − | 6.94409i | 0.325726 | − | 0.236654i | ||||
\(862\) | −1.51527 | − | 9.56706i | −0.0516104 | − | 0.325855i | ||||
\(863\) | −13.8646 | − | 7.06437i | −0.471957 | − | 0.240474i | 0.201801 | − | 0.979427i | \(-0.435321\pi\) |
−0.673757 | + | 0.738953i | \(0.735321\pi\) | |||||||
\(864\) | 8.20467 | + | 25.2514i | 0.279129 | + | 0.859070i | ||||
\(865\) | −1.89194 | + | 29.4603i | −0.0643280 | + | 1.00168i | ||||
\(866\) | −8.21659 | − | 11.3092i | −0.279211 | − | 0.384301i | ||||
\(867\) | 10.9161 | − | 5.56205i | 0.370732 | − | 0.188897i | ||||
\(868\) | −24.4863 | − | 24.4863i | −0.831118 | − | 0.831118i | ||||
\(869\) | 0 | 0 | ||||||||
\(870\) | −0.721933 | + | 3.21013i | −0.0244758 | + | 0.108834i | ||||
\(871\) | 5.17490 | + | 1.68143i | 0.175345 | + | 0.0569729i | ||||
\(872\) | −17.1753 | − | 2.72031i | −0.581630 | − | 0.0921212i | ||||
\(873\) | 16.9240 | − | 2.68050i | 0.572792 | − | 0.0907213i | ||||
\(874\) | 5.70941 | − | 1.85510i | 0.193124 | − | 0.0627496i | ||||
\(875\) | −13.7680 | − | 29.5572i | −0.465443 | − | 0.999214i | ||||
\(876\) | −17.4617 | + | 24.0340i | −0.589976 | + | 0.812032i | ||||
\(877\) | 4.55715 | − | 28.7727i | 0.153884 | − | 0.971586i | −0.783019 | − | 0.621997i | \(-0.786321\pi\) |
0.936903 | − | 0.349588i | \(-0.113679\pi\) | |||||||
\(878\) | 0.692328 | + | 1.35877i | 0.0233650 | + | 0.0458563i | ||||
\(879\) | 16.7229 | 0.564048 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 4.18815 | 0.141102 | 0.0705512 | − | 0.997508i | \(-0.477524\pi\) | ||||
0.0705512 | + | 0.997508i | \(0.477524\pi\) | |||||||
\(882\) | −0.568016 | − | 1.11479i | −0.0191261 | − | 0.0375371i | ||||
\(883\) | 7.15185 | − | 45.1550i | 0.240679 | − | 1.51959i | −0.510725 | − | 0.859744i | \(-0.670623\pi\) |
0.751404 | − | 0.659843i | \(-0.229377\pi\) | |||||||
\(884\) | −15.9629 | + | 21.9711i | −0.536892 | + | 0.738968i | ||||
\(885\) | −2.61102 | + | 3.14783i | −0.0877683 | + | 0.105813i | ||||
\(886\) | 14.7403 | − | 4.78942i | 0.495211 | − | 0.160904i | ||||
\(887\) | −34.0342 | + | 5.39049i | −1.14276 | + | 0.180995i | −0.698979 | − | 0.715142i | \(-0.746362\pi\) |
−0.443777 | + | 0.896137i | \(0.646362\pi\) | |||||||
\(888\) | 2.40464 | + | 0.380858i | 0.0806945 | + | 0.0127807i | ||||
\(889\) | −26.1549 | − | 8.49823i | −0.877206 | − | 0.285021i | ||||
\(890\) | 6.52371 | + | 10.3093i | 0.218675 | + | 0.345569i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 7.70048 | + | 7.70048i | 0.257831 | + | 0.257831i | ||||
\(893\) | 13.4476 | − | 6.85189i | 0.450006 | − | 0.229290i | ||||
\(894\) | 5.87936 | + | 8.09224i | 0.196635 | + | 0.270645i | ||||
\(895\) | −3.73919 | + | 3.28791i | −0.124987 | + | 0.109903i | ||||
\(896\) | −10.1795 | − | 31.3293i | −0.340073 | − | 1.04664i | ||||
\(897\) | 8.90922 | + | 4.53947i | 0.297470 | + | 0.151569i | ||||
\(898\) | 2.67335 | + | 16.8789i | 0.0892108 | + | 0.563255i | ||||
\(899\) | −14.4220 | + | 10.4782i | −0.481001 | + | 0.349467i | ||||
\(900\) | −10.2893 | + | 10.9000i | −0.342975 | + | 0.363333i | ||||
\(901\) | 7.78489i | 0.259352i | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −16.8566 | + | 16.8566i | −0.560951 | + | 0.560951i | ||||
\(904\) | −11.5039 | + | 35.4055i | −0.382616 | + | 1.17757i | ||||
\(905\) | 8.90057 | − | 3.83789i | 0.295865 | − | 0.127576i | ||||
\(906\) | −8.00885 | − | 5.81877i | −0.266076 | − | 0.193316i | ||||
\(907\) | 17.4845 | − | 34.3152i | 0.580563 | − | 1.13942i | −0.394791 | − | 0.918771i | \(-0.629183\pi\) |
0.975354 | − | 0.220648i | \(-0.0708170\pi\) | |||||||
\(908\) | −2.65243 | + | 5.20568i | −0.0880239 | + | 0.172757i | ||||
\(909\) | 2.62855 | + | 1.90976i | 0.0871836 | + | 0.0633426i | ||||
\(910\) | 3.44211 | − | 8.66087i | 0.114105 | − | 0.287105i | ||||
\(911\) | −11.3933 | + | 35.0649i | −0.377476 | + | 1.16175i | 0.564317 | + | 0.825558i | \(0.309139\pi\) |
−0.941793 | + | 0.336193i | \(0.890861\pi\) | |||||||
\(912\) | −8.67283 | + | 8.67283i | −0.287186 | + | 0.287186i | ||||
\(913\) | 0 | 0 | ||||||||
\(914\) | − | 2.49056i | − | 0.0823805i | ||||||
\(915\) | −17.1265 | + | 4.37360i | −0.566183 | + | 0.144587i | ||||
\(916\) | 7.61001 | − | 5.52900i | 0.251442 | − | 0.182683i | ||||
\(917\) | 3.42935 | + | 21.6521i | 0.113247 | + | 0.715015i | ||||
\(918\) | 12.2797 | + | 6.25682i | 0.405291 | + | 0.206506i | ||||
\(919\) | −9.39535 | − | 28.9159i | −0.309924 | − | 0.953848i | −0.977794 | − | 0.209570i | \(-0.932794\pi\) |
0.667870 | − | 0.744278i | \(-0.267206\pi\) | |||||||
\(920\) | −8.13358 | − | 9.24995i | −0.268156 | − | 0.304962i | ||||
\(921\) | 0.828668 | + | 1.14056i | 0.0273056 | + | 0.0375829i | ||||
\(922\) | 5.42601 | − | 2.76469i | 0.178696 | − | 0.0910502i | ||||
\(923\) | 5.94554 | + | 5.94554i | 0.195700 | + | 0.195700i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 1.95599 | + | 5.47762i | 0.0643126 | + | 0.180103i | ||||
\(926\) | 12.6587 | + | 4.11306i | 0.415990 | + | 0.135163i | ||||
\(927\) | 10.3734 | + | 1.64298i | 0.340707 | + | 0.0539626i | ||||
\(928\) | −12.9460 | + | 2.05045i | −0.424974 | + | 0.0673092i | ||||
\(929\) | 22.1568 | − | 7.19917i | 0.726940 | − | 0.236197i | 0.0779103 | − | 0.996960i | \(-0.475175\pi\) |
0.649029 | + | 0.760763i | \(0.275175\pi\) | |||||||
\(930\) | −8.35007 | + | 0.778362i | −0.273809 | + | 0.0255235i | ||||
\(931\) | 3.62748 | − | 4.99280i | 0.118886 | − | 0.163632i | ||||
\(932\) | −1.21751 | + | 7.68704i | −0.0398808 | + | 0.251797i | ||||
\(933\) | 7.31760 | + | 14.3616i | 0.239567 | + | 0.470177i | ||||
\(934\) | 19.3837 | 0.634254 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −9.14869 | −0.299034 | ||||||||
\(937\) | 3.65168 | + | 7.16683i | 0.119295 | + | 0.234130i | 0.942930 | − | 0.332990i | \(-0.108058\pi\) |
−0.823635 | + | 0.567120i | \(0.808058\pi\) | |||||||
\(938\) | −0.414236 | + | 2.61538i | −0.0135253 | + | 0.0853953i | ||||
\(939\) | −0.495342 | + | 0.681780i | −0.0161649 | + | 0.0222491i | ||||
\(940\) | −11.1618 | − | 9.25829i | −0.364057 | − | 0.301972i | ||||
\(941\) | −45.5460 | + | 14.7988i | −1.48476 | + | 0.482427i | −0.935531 | − | 0.353245i | \(-0.885078\pi\) |
−0.549228 | + | 0.835673i | \(0.685078\pi\) | |||||||
\(942\) | −11.7959 | + | 1.86829i | −0.384331 | + | 0.0608721i | ||||
\(943\) | 10.5306 | + | 1.66788i | 0.342922 | + | 0.0543136i | ||||
\(944\) | −4.00919 | − | 1.30266i | −0.130488 | − | 0.0423981i | ||||
\(945\) | 34.0840 | + | 7.66523i | 1.10875 | + | 0.249350i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 9.38618 | + | 9.38618i | 0.305010 | + | 0.305010i | 0.842970 | − | 0.537960i | \(-0.180805\pi\) |
−0.537960 | + | 0.842970i | \(0.680805\pi\) | |||||||
\(948\) | −27.2636 | + | 13.8915i | −0.885481 | + | 0.451175i | ||||
\(949\) | −25.4617 | − | 35.0450i | −0.826521 | − | 1.13761i | ||||
\(950\) | 9.60468 | + | 2.81752i | 0.311617 | + | 0.0914124i | ||||
\(951\) | −6.00866 | − | 18.4928i | −0.194844 | − | 0.599669i | ||||
\(952\) | −25.1461 | − | 12.8126i | −0.814989 | − | 0.415257i | ||||
\(953\) | −8.32956 | − | 52.5908i | −0.269821 | − | 1.70358i | −0.634890 | − | 0.772602i | \(-0.718955\pi\) |
0.365069 | − | 0.930980i | \(-0.381045\pi\) | |||||||
\(954\) | −0.993573 | + | 0.721873i | −0.0321681 | + | 0.0233715i | ||||
\(955\) | 4.65174 | − | 7.84238i | 0.150527 | − | 0.253773i | ||||
\(956\) | 18.4130i | 0.595519i | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 13.2098 | − | 13.2098i | 0.426790 | − | 0.426790i | ||||
\(959\) | 13.8512 | − | 42.6295i | 0.447277 | − | 1.37658i | ||||
\(960\) | 6.70430 | + | 2.66451i | 0.216380 | + | 0.0859966i | ||||
\(961\) | −11.6790 | − | 8.48526i | −0.376741 | − | 0.273718i | ||||
\(962\) | −0.754749 | + | 1.48128i | −0.0243341 | + | 0.0477583i | ||||
\(963\) | −0.336501 | + | 0.660420i | −0.0108436 | + | 0.0212817i | ||||
\(964\) | 39.7004 | + | 28.8440i | 1.27866 | + | 0.929004i | ||||
\(965\) | 43.4312 | + | 17.2610i | 1.39810 | + | 0.555650i | ||||
\(966\) | −1.50370 | + | 4.62791i | −0.0483807 | + | 0.148901i | ||||
\(967\) | −38.6475 | + | 38.6475i | −1.24282 | + | 1.24282i | −0.283994 | + | 0.958826i | \(0.591660\pi\) |
−0.958826 | + | 0.283994i | \(0.908340\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 24.6055i | 0.790443i | ||||||||
\(970\) | −5.60887 | + | 9.45599i | −0.180090 | + | 0.303614i | ||||
\(971\) | −6.69055 | + | 4.86097i | −0.214710 | + | 0.155996i | −0.689942 | − | 0.723865i | \(-0.742364\pi\) |
0.475232 | + | 0.879860i | \(0.342364\pi\) | |||||||
\(972\) | −4.11529 | − | 25.9829i | −0.131998 | − | 0.833403i | ||||
\(973\) | −10.8161 | − | 5.51110i | −0.346750 | − | 0.176678i | ||||
\(974\) | 4.10149 | + | 12.6231i | 0.131420 | + | 0.404470i | ||||
\(975\) | 7.99369 | + | 14.6304i | 0.256003 | + | 0.468549i | ||||
\(976\) | −10.7092 | − | 14.7399i | −0.342792 | − | 0.471813i | ||||
\(977\) | 48.7867 | − | 24.8581i | 1.56083 | − | 0.795280i | 0.561348 | − | 0.827580i | \(-0.310283\pi\) |
0.999478 | + | 0.0322997i | \(0.0102831\pi\) | |||||||
\(978\) | 4.10153 | + | 4.10153i | 0.131152 | + | 0.131152i | ||||
\(979\) | 0 | 0 | ||||||||
\(980\) | −5.78535 | − | 1.30108i | −0.184806 | − | 0.0415614i | ||||
\(981\) | 15.3225 | + | 4.97857i | 0.489208 | + | 0.158953i | ||||
\(982\) | −1.91574 | − | 0.303424i | −0.0611338 | − | 0.00968265i | ||||
\(983\) | −13.4712 | + | 2.13363i | −0.429664 | + | 0.0680521i | −0.367521 | − | 0.930015i | \(-0.619793\pi\) |
−0.0621429 | + | 0.998067i | \(0.519793\pi\) | |||||||
\(984\) | 7.07684 | − | 2.29941i | 0.225602 | − | 0.0733024i | ||||
\(985\) | −0.520335 | − | 0.431600i | −0.0165793 | − | 0.0137519i | ||||
\(986\) | −3.99911 | + | 5.50430i | −0.127357 | + | 0.175293i | ||||
\(987\) | −1.91377 | + | 12.0831i | −0.0609160 | + | 0.384608i | ||||
\(988\) | −9.59407 | − | 18.8294i | −0.305228 | − | 0.599044i | ||||
\(989\) | −21.5139 | −0.684102 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 6.43457 | 0.204401 | 0.102200 | − | 0.994764i | \(-0.467412\pi\) | ||||
0.102200 | + | 0.994764i | \(0.467412\pi\) | |||||||
\(992\) | −15.1668 | − | 29.7666i | −0.481547 | − | 0.945090i | ||||
\(993\) | −2.65908 | + | 16.7887i | −0.0843832 | + | 0.532775i | ||||
\(994\) | −2.40517 | + | 3.31043i | −0.0762872 | + | 0.105000i | ||||
\(995\) | 24.6721 | − | 2.29984i | 0.782158 | − | 0.0729099i | ||||
\(996\) | 12.7558 | − | 4.14461i | 0.404183 | − | 0.131327i | ||||
\(997\) | −21.0146 | + | 3.32838i | −0.665538 | + | 0.105411i | −0.480058 | − | 0.877237i | \(-0.659384\pi\) |
−0.185481 | + | 0.982648i | \(0.559384\pi\) | |||||||
\(998\) | −3.09899 | − | 0.490831i | −0.0980967 | − | 0.0155370i | ||||
\(999\) | −5.92680 | − | 1.92573i | −0.187516 | − | 0.0609275i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))