Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [819,2,Mod(176,819)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(819, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([10, 0, 11]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("819.176");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 819 = 3^{2} \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 819.ew (of order \(12\), degree \(4\), 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: | \(6.53974792554\) |
Analytic rank: | \(0\) |
Dimension: | \(336\) |
Relative dimension: | \(84\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 470.70 | ||
Character | \(\chi\) | \(=\) | 819.470 |
Dual form | 819.2.ew.a.176.70 |
$q$-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 \(\left(\mathbb{Z}/819\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(379\) | \(703\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{1}{12}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.39653 | + | 1.39653i | 0.987499 | + | 0.987499i | 0.999923 | − | 0.0124241i | \(-0.00395483\pi\) |
−0.0124241 | + | 0.999923i | \(0.503955\pi\) | |||||||
\(3\) | 0.461375 | − | 1.66947i | 0.266375 | − | 0.963869i | ||||
\(4\) | 1.90061i | 0.950307i | ||||||||
\(5\) | −0.542657 | + | 2.02522i | −0.242683 | + | 0.905707i | 0.731850 | + | 0.681466i | \(0.238657\pi\) |
−0.974534 | + | 0.224241i | \(0.928010\pi\) | |||||||
\(6\) | 2.97580 | − | 1.68715i | 1.21486 | − | 0.688775i | ||||
\(7\) | 0.258819 | − | 0.965926i | 0.0978244 | − | 0.365086i | ||||
\(8\) | 0.138795 | − | 0.138795i | 0.0490715 | − | 0.0490715i | ||||
\(9\) | −2.57427 | − | 1.54050i | −0.858089 | − | 0.513501i | ||||
\(10\) | −3.58613 | + | 2.07045i | −1.13403 | + | 0.654735i | ||||
\(11\) | 1.65269 | − | 1.65269i | 0.498306 | − | 0.498306i | −0.412604 | − | 0.910910i | \(-0.635381\pi\) |
0.910910 | + | 0.412604i | \(0.135381\pi\) | |||||||
\(12\) | 3.17302 | + | 0.876896i | 0.915972 | + | 0.253138i | ||||
\(13\) | 3.38480 | − | 1.24224i | 0.938774 | − | 0.344535i | ||||
\(14\) | 1.71040 | − | 0.987499i | 0.457123 | − | 0.263920i | ||||
\(15\) | 3.13068 | + | 1.84034i | 0.808338 | + | 0.475173i | ||||
\(16\) | 4.18889 | 1.04722 | ||||||||
\(17\) | 3.80098 | − | 6.58349i | 0.921873 | − | 1.59673i | 0.125359 | − | 0.992111i | \(-0.459992\pi\) |
0.796514 | − | 0.604619i | \(-0.206675\pi\) | |||||||
\(18\) | −1.44368 | − | 5.74642i | −0.340280 | − | 1.35444i | ||||
\(19\) | 1.62187 | + | 6.05291i | 0.372083 | + | 1.38863i | 0.857561 | + | 0.514383i | \(0.171979\pi\) |
−0.485478 | + | 0.874249i | \(0.661354\pi\) | |||||||
\(20\) | −3.84917 | − | 1.03138i | −0.860700 | − | 0.230624i | ||||
\(21\) | −1.49317 | − | 0.877745i | −0.325837 | − | 0.191540i | ||||
\(22\) | 4.61608 | 0.984153 | ||||||||
\(23\) | −2.48198 | + | 4.29891i | −0.517528 | + | 0.896385i | 0.482265 | + | 0.876025i | \(0.339814\pi\) |
−0.999793 | + | 0.0203592i | \(0.993519\pi\) | |||||||
\(24\) | −0.167678 | − | 0.295751i | −0.0342271 | − | 0.0603699i | ||||
\(25\) | 0.523078 | + | 0.301999i | 0.104616 | + | 0.0603999i | ||||
\(26\) | 6.46181 | + | 2.99216i | 1.26727 | + | 0.586810i | ||||
\(27\) | −3.75953 | + | 3.58691i | −0.723522 | + | 0.690302i | ||||
\(28\) | 1.83585 | + | 0.491915i | 0.346944 | + | 0.0929632i | ||||
\(29\) | 8.38329i | 1.55674i | 0.627807 | + | 0.778369i | \(0.283953\pi\) | ||||
−0.627807 | + | 0.778369i | \(0.716047\pi\) | |||||||
\(30\) | 1.80201 | + | 6.94220i | 0.329001 | + | 1.26747i | ||||
\(31\) | −5.12737 | − | 1.37388i | −0.920903 | − | 0.246755i | −0.232932 | − | 0.972493i | \(-0.574832\pi\) |
−0.687971 | + | 0.725738i | \(0.741499\pi\) | |||||||
\(32\) | 5.57234 | + | 5.57234i | 0.985060 | + | 0.985060i | ||||
\(33\) | −1.99661 | − | 3.52163i | −0.347566 | − | 0.613038i | ||||
\(34\) | 14.5023 | − | 3.88587i | 2.48712 | − | 0.666421i | ||||
\(35\) | 1.81576 | + | 1.04833i | 0.306920 | + | 0.177200i | ||||
\(36\) | 2.92790 | − | 4.89269i | 0.487984 | − | 0.815448i | ||||
\(37\) | 2.03470 | − | 7.59361i | 0.334503 | − | 1.24838i | −0.569905 | − | 0.821711i | \(-0.693020\pi\) |
0.904407 | − | 0.426670i | \(-0.140313\pi\) | |||||||
\(38\) | −6.18809 | + | 10.7181i | −1.00384 | + | 1.73870i | ||||
\(39\) | −0.512220 | − | 6.22396i | −0.0820208 | − | 0.996631i | ||||
\(40\) | 0.205773 | + | 0.356409i | 0.0325355 | + | 0.0563532i | ||||
\(41\) | −9.14422 | + | 2.45019i | −1.42809 | + | 0.382655i | −0.888345 | − | 0.459176i | \(-0.848145\pi\) |
−0.539742 | + | 0.841831i | \(0.681478\pi\) | |||||||
\(42\) | −0.859466 | − | 3.31107i | −0.132618 | − | 0.510909i | ||||
\(43\) | 4.83257 | − | 2.79008i | 0.736960 | − | 0.425484i | −0.0840033 | − | 0.996465i | \(-0.526771\pi\) |
0.820963 | + | 0.570982i | \(0.193437\pi\) | |||||||
\(44\) | 3.14113 | + | 3.14113i | 0.473544 | + | 0.473544i | ||||
\(45\) | 4.51681 | − | 4.37750i | 0.673326 | − | 0.652559i | ||||
\(46\) | −9.46974 | + | 2.53741i | −1.39624 | + | 0.374121i | ||||
\(47\) | −1.74148 | − | 6.49928i | −0.254021 | − | 0.948018i | −0.968633 | − | 0.248497i | \(-0.920063\pi\) |
0.714612 | − | 0.699521i | \(-0.246603\pi\) | |||||||
\(48\) | 1.93265 | − | 6.99324i | 0.278954 | − | 1.00939i | ||||
\(49\) | −0.866025 | − | 0.500000i | −0.123718 | − | 0.0714286i | ||||
\(50\) | 0.308744 | + | 1.15225i | 0.0436630 | + | 0.162953i | ||||
\(51\) | −9.23727 | − | 9.38308i | −1.29348 | − | 1.31389i | ||||
\(52\) | 2.36102 | + | 6.43319i | 0.327414 | + | 0.892123i | ||||
\(53\) | 3.94644i | 0.542085i | 0.962567 | + | 0.271042i | \(0.0873683\pi\) | ||||
−0.962567 | + | 0.271042i | \(0.912632\pi\) | |||||||
\(54\) | −10.2596 | − | 0.241064i | −1.39615 | − | 0.0328047i | ||||
\(55\) | 2.45023 | + | 4.24392i | 0.330388 | + | 0.572250i | ||||
\(56\) | −0.0981429 | − | 0.169989i | −0.0131149 | − | 0.0227157i | ||||
\(57\) | 10.8534 | + | 0.0849922i | 1.43757 | + | 0.0112575i | ||||
\(58\) | −11.7076 | + | 11.7076i | −1.53728 | + | 1.53728i | ||||
\(59\) | −2.74879 | + | 2.74879i | −0.357862 | + | 0.357862i | −0.863025 | − | 0.505162i | \(-0.831433\pi\) |
0.505162 | + | 0.863025i | \(0.331433\pi\) | |||||||
\(60\) | −3.49777 | + | 5.95022i | −0.451560 | + | 0.768170i | ||||
\(61\) | −4.44216 | − | 7.69404i | −0.568760 | − | 0.985121i | −0.996689 | − | 0.0813086i | \(-0.974090\pi\) |
0.427929 | − | 0.903812i | \(-0.359243\pi\) | |||||||
\(62\) | −5.24189 | − | 9.07921i | −0.665720 | − | 1.15306i | ||||
\(63\) | −2.15428 | + | 2.08784i | −0.271414 | + | 0.263043i | ||||
\(64\) | 7.18614i | 0.898268i | ||||||||
\(65\) | 0.679026 | + | 7.52907i | 0.0842228 | + | 0.933867i | ||||
\(66\) | 2.12975 | − | 7.70642i | 0.262154 | − | 0.948595i | ||||
\(67\) | −0.163822 | − | 0.611393i | −0.0200141 | − | 0.0746936i | 0.955197 | − | 0.295972i | \(-0.0956436\pi\) |
−0.975211 | + | 0.221279i | \(0.928977\pi\) | |||||||
\(68\) | 12.5127 | + | 7.22420i | 1.51739 | + | 0.876063i | ||||
\(69\) | 6.03178 | + | 6.12700i | 0.726141 | + | 0.737604i | ||||
\(70\) | 1.07175 | + | 3.99981i | 0.128098 | + | 0.478069i | ||||
\(71\) | 0.322579 | − | 0.0864347i | 0.0382831 | − | 0.0102579i | −0.239627 | − | 0.970865i | \(-0.577025\pi\) |
0.277910 | + | 0.960607i | \(0.410358\pi\) | |||||||
\(72\) | −0.571110 | + | 0.143481i | −0.0673059 | + | 0.0169094i | ||||
\(73\) | −2.43817 | − | 2.43817i | −0.285366 | − | 0.285366i | 0.549878 | − | 0.835245i | \(-0.314674\pi\) |
−0.835245 | + | 0.549878i | \(0.814674\pi\) | |||||||
\(74\) | 13.4463 | − | 7.76320i | 1.56310 | − | 0.902454i | ||||
\(75\) | 0.745514 | − | 0.733929i | 0.0860846 | − | 0.0847468i | ||||
\(76\) | −11.5042 | + | 3.08255i | −1.31963 | + | 0.353593i | ||||
\(77\) | −1.16863 | − | 2.02413i | −0.133178 | − | 0.230671i | ||||
\(78\) | 7.97663 | − | 9.40730i | 0.903176 | − | 1.06517i | ||||
\(79\) | −1.58734 | + | 2.74936i | −0.178590 | + | 0.309327i | −0.941398 | − | 0.337298i | \(-0.890487\pi\) |
0.762808 | + | 0.646625i | \(0.223820\pi\) | |||||||
\(80\) | −2.27313 | + | 8.48344i | −0.254144 | + | 0.948477i | ||||
\(81\) | 4.25369 | + | 7.93134i | 0.472633 | + | 0.881260i | ||||
\(82\) | −16.1920 | − | 9.34845i | −1.78811 | − | 1.03236i | ||||
\(83\) | 4.60479 | − | 1.23385i | 0.505441 | − | 0.135433i | 0.00291716 | − | 0.999996i | \(-0.499071\pi\) |
0.502524 | + | 0.864563i | \(0.332405\pi\) | |||||||
\(84\) | 1.66825 | − | 2.83795i | 0.182022 | − | 0.309645i | ||||
\(85\) | 11.2704 | + | 11.2704i | 1.22245 | + | 1.22245i | ||||
\(86\) | 10.6453 | + | 2.85240i | 1.14791 | + | 0.307582i | ||||
\(87\) | 13.9957 | + | 3.86784i | 1.50049 | + | 0.414676i | ||||
\(88\) | − | 0.458771i | − | 0.0489052i | ||||||
\(89\) | −10.2788 | − | 2.75419i | −1.08955 | − | 0.291944i | −0.331047 | − | 0.943614i | \(-0.607402\pi\) |
−0.758502 | + | 0.651670i | \(0.774069\pi\) | |||||||
\(90\) | 12.4212 | + | 0.194550i | 1.30931 | + | 0.0205074i | ||||
\(91\) | −0.323860 | − | 3.59098i | −0.0339498 | − | 0.376437i | ||||
\(92\) | −8.17057 | − | 4.71728i | −0.851841 | − | 0.491811i | ||||
\(93\) | −4.65929 | + | 7.92613i | −0.483146 | + | 0.821901i | ||||
\(94\) | 6.64444 | − | 11.5085i | 0.685321 | − | 1.18701i | ||||
\(95\) | −13.1386 | −1.34799 | ||||||||
\(96\) | 11.8738 | − | 6.73192i | 1.21186 | − | 0.687074i | ||||
\(97\) | −10.2740 | − | 2.75291i | −1.04317 | − | 0.279515i | −0.303741 | − | 0.952755i | \(-0.598236\pi\) |
−0.739425 | + | 0.673239i | \(0.764902\pi\) | |||||||
\(98\) | −0.511167 | − | 1.90770i | −0.0516357 | − | 0.192707i | ||||
\(99\) | −6.80045 | + | 1.70849i | −0.683471 | + | 0.171710i | ||||
\(100\) | −0.573984 | + | 0.994170i | −0.0573984 | + | 0.0994170i | ||||
\(101\) | −9.49889 | −0.945175 | −0.472587 | − | 0.881284i | \(-0.656680\pi\) | ||||
−0.472587 | + | 0.881284i | \(0.656680\pi\) | |||||||
\(102\) | 0.203634 | − | 26.0040i | 0.0201628 | − | 2.57478i | ||||
\(103\) | 14.9036 | − | 8.60461i | 1.46850 | − | 0.847837i | 0.469120 | − | 0.883134i | \(-0.344571\pi\) |
0.999377 | + | 0.0352969i | \(0.0112377\pi\) | |||||||
\(104\) | 0.297377 | − | 0.642210i | 0.0291602 | − | 0.0629738i | ||||
\(105\) | 2.58791 | − | 2.54769i | 0.252554 | − | 0.248629i | ||||
\(106\) | −5.51133 | + | 5.51133i | −0.535308 | + | 0.535308i | ||||
\(107\) | −1.59424 | + | 0.920433i | −0.154121 | + | 0.0889816i | −0.575077 | − | 0.818099i | \(-0.695028\pi\) |
0.420956 | + | 0.907081i | \(0.361695\pi\) | |||||||
\(108\) | −6.81734 | − | 7.14542i | −0.655999 | − | 0.687568i | ||||
\(109\) | −9.86723 | + | 9.86723i | −0.945109 | + | 0.945109i | −0.998570 | − | 0.0534605i | \(-0.982975\pi\) |
0.0534605 | + | 0.998570i | \(0.482975\pi\) | |||||||
\(110\) | −2.50495 | + | 9.34860i | −0.238838 | + | 0.891354i | ||||
\(111\) | −11.7385 | − | 6.90037i | −1.11417 | − | 0.654954i | ||||
\(112\) | 1.08417 | − | 4.04616i | 0.102444 | − | 0.382326i | ||||
\(113\) | 15.4961i | 1.45775i | 0.684648 | + | 0.728874i | \(0.259956\pi\) | ||||
−0.684648 | + | 0.728874i | \(0.740044\pi\) | |||||||
\(114\) | 15.0385 | + | 15.2759i | 1.40849 | + | 1.43072i | ||||
\(115\) | −7.35939 | − | 7.35939i | −0.686266 | − | 0.686266i | ||||
\(116\) | −15.9334 | −1.47938 | ||||||||
\(117\) | −10.6270 | − | 2.01644i | −0.982470 | − | 0.186420i | ||||
\(118\) | −7.67757 | −0.706777 | ||||||||
\(119\) | −5.37540 | − | 5.37540i | −0.492762 | − | 0.492762i | ||||
\(120\) | 0.689953 | − | 0.179094i | 0.0629838 | − | 0.0163489i | ||||
\(121\) | 5.53721i | 0.503383i | ||||||||
\(122\) | 4.54137 | − | 16.9486i | 0.411156 | − | 1.53446i | ||||
\(123\) | −0.128399 | + | 16.3965i | −0.0115774 | + | 1.47842i | ||||
\(124\) | 2.61121 | − | 9.74516i | 0.234493 | − | 0.875141i | ||||
\(125\) | −8.30830 | + | 8.30830i | −0.743117 | + | 0.743117i | ||||
\(126\) | −5.92427 | − | 0.0927903i | −0.527776 | − | 0.00826642i | ||||
\(127\) | 10.6380 | − | 6.14185i | 0.943970 | − | 0.545001i | 0.0527671 | − | 0.998607i | \(-0.483196\pi\) |
0.891202 | + | 0.453606i | \(0.149863\pi\) | |||||||
\(128\) | 1.10899 | − | 1.10899i | 0.0980218 | − | 0.0980218i | ||||
\(129\) | −2.42834 | − | 9.35510i | −0.213803 | − | 0.823671i | ||||
\(130\) | −9.56632 | + | 11.4629i | −0.839022 | + | 1.00536i | ||||
\(131\) | −2.97794 | + | 1.71931i | −0.260184 | + | 0.150217i | −0.624418 | − | 0.781090i | \(-0.714664\pi\) |
0.364235 | + | 0.931307i | \(0.381331\pi\) | |||||||
\(132\) | 6.69327 | − | 3.79479i | 0.582574 | − | 0.330294i | ||||
\(133\) | 6.26643 | 0.543368 | ||||||||
\(134\) | 0.625048 | − | 1.08261i | 0.0539959 | − | 0.0935237i | ||||
\(135\) | −5.22416 | − | 9.56034i | −0.449624 | − | 0.822823i | ||||
\(136\) | −0.386199 | − | 1.44131i | −0.0331163 | − | 0.123592i | ||||
\(137\) | −18.4635 | − | 4.94729i | −1.57745 | − | 0.422675i | −0.639312 | − | 0.768947i | \(-0.720781\pi\) |
−0.938134 | + | 0.346272i | \(0.887447\pi\) | |||||||
\(138\) | −0.132970 | + | 16.9802i | −0.0113191 | + | 1.44545i | ||||
\(139\) | −13.0731 | −1.10884 | −0.554421 | − | 0.832236i | \(-0.687060\pi\) | ||||
−0.554421 | + | 0.832236i | \(0.687060\pi\) | |||||||
\(140\) | −1.99248 | + | 3.45107i | −0.168395 | + | 0.291669i | ||||
\(141\) | −11.6538 | − | 0.0912600i | −0.981430 | − | 0.00768548i | ||||
\(142\) | 0.571201 | + | 0.329783i | 0.0479341 | + | 0.0276748i | ||||
\(143\) | 3.54099 | − | 7.64707i | 0.296113 | − | 0.639480i | ||||
\(144\) | −10.7833 | − | 6.45301i | −0.898611 | − | 0.537751i | ||||
\(145\) | −16.9780 | − | 4.54925i | −1.40995 | − | 0.377795i | ||||
\(146\) | − | 6.80998i | − | 0.563598i | ||||||
\(147\) | −1.23430 | + | 1.21512i | −0.101803 | + | 0.100221i | ||||
\(148\) | 14.4325 | + | 3.86718i | 1.18635 | + | 0.317880i | ||||
\(149\) | 14.8987 | + | 14.8987i | 1.22055 | + | 1.22055i | 0.967436 | + | 0.253117i | \(0.0814556\pi\) |
0.253117 | + | 0.967436i | \(0.418544\pi\) | |||||||
\(150\) | 2.06609 | + | 0.0161794i | 0.168696 | + | 0.00132104i | ||||
\(151\) | −0.201427 | + | 0.0539723i | −0.0163919 | + | 0.00439221i | −0.267006 | − | 0.963695i | \(-0.586034\pi\) |
0.250614 | + | 0.968087i | \(0.419368\pi\) | |||||||
\(152\) | 1.06522 | + | 0.615006i | 0.0864009 | + | 0.0498836i | ||||
\(153\) | −19.9266 | + | 11.0922i | −1.61097 | + | 0.896754i | ||||
\(154\) | 1.19473 | − | 4.45880i | 0.0962741 | − | 0.359300i | ||||
\(155\) | 5.56481 | − | 9.63853i | 0.446976 | − | 0.774185i | ||||
\(156\) | 11.8293 | − | 0.973533i | 0.947105 | − | 0.0779450i | ||||
\(157\) | 3.24580 | + | 5.62188i | 0.259043 | + | 0.448675i | 0.965986 | − | 0.258595i | \(-0.0832596\pi\) |
−0.706943 | + | 0.707270i | \(0.749926\pi\) | |||||||
\(158\) | −6.05635 | + | 1.62279i | −0.481817 | + | 0.129102i | ||||
\(159\) | 6.58846 | + | 1.82079i | 0.522499 | + | 0.144398i | ||||
\(160\) | −14.3091 | + | 8.26136i | −1.13123 | + | 0.653118i | ||||
\(161\) | 3.51005 | + | 3.51005i | 0.276630 | + | 0.276630i | ||||
\(162\) | −5.13595 | + | 17.0168i | −0.403518 | + | 1.33697i | ||||
\(163\) | 4.70410 | − | 1.26046i | 0.368454 | − | 0.0987269i | −0.0698411 | − | 0.997558i | \(-0.522249\pi\) |
0.438295 | + | 0.898831i | \(0.355583\pi\) | |||||||
\(164\) | −4.65686 | − | 17.3796i | −0.363640 | − | 1.35712i | ||||
\(165\) | 8.21557 | − | 2.13254i | 0.639581 | − | 0.166018i | ||||
\(166\) | 8.15386 | + | 4.70763i | 0.632862 | + | 0.365383i | ||||
\(167\) | −2.37559 | − | 8.86581i | −0.183828 | − | 0.686057i | −0.994878 | − | 0.101080i | \(-0.967770\pi\) |
0.811050 | − | 0.584977i | \(-0.198896\pi\) | |||||||
\(168\) | −0.329072 | + | 0.0854183i | −0.0253884 | + | 0.00659017i | ||||
\(169\) | 9.91369 | − | 8.40944i | 0.762592 | − | 0.646880i | ||||
\(170\) | 31.4790i | 2.41433i | ||||||||
\(171\) | 5.14940 | − | 18.0803i | 0.393784 | − | 1.38263i | ||||
\(172\) | 5.30287 | + | 9.18485i | 0.404340 | + | 0.700338i | ||||
\(173\) | 9.98161 | + | 17.2887i | 0.758888 | + | 1.31443i | 0.943418 | + | 0.331606i | \(0.107590\pi\) |
−0.184530 | + | 0.982827i | \(0.559076\pi\) | |||||||
\(174\) | 14.1438 | + | 24.9470i | 1.07224 | + | 1.89123i | ||||
\(175\) | 0.427092 | − | 0.427092i | 0.0322851 | − | 0.0322851i | ||||
\(176\) | 6.92296 | − | 6.92296i | 0.521837 | − | 0.521837i | ||||
\(177\) | 3.32081 | + | 5.85726i | 0.249607 | + | 0.440258i | ||||
\(178\) | −10.5084 | − | 18.2010i | −0.787634 | − | 1.36422i | ||||
\(179\) | 11.0876 | + | 19.2042i | 0.828724 | + | 1.43539i | 0.899040 | + | 0.437867i | \(0.144266\pi\) |
−0.0703164 | + | 0.997525i | \(0.522401\pi\) | |||||||
\(180\) | 8.31993 | + | 8.58471i | 0.620131 | + | 0.639866i | ||||
\(181\) | 14.9435i | 1.11074i | 0.831604 | + | 0.555369i | \(0.187423\pi\) | ||||
−0.831604 | + | 0.555369i | \(0.812577\pi\) | |||||||
\(182\) | 4.56264 | − | 5.46720i | 0.338205 | − | 0.405256i | ||||
\(183\) | −14.8945 | + | 3.86621i | −1.10103 | + | 0.285799i | ||||
\(184\) | 0.252181 | + | 0.941154i | 0.0185911 | + | 0.0693828i | ||||
\(185\) | 14.2746 | + | 8.24144i | 1.04949 | + | 0.605923i | ||||
\(186\) | −17.5760 | + | 4.56226i | −1.28873 | + | 0.334521i | ||||
\(187\) | −4.59864 | − | 17.1623i | −0.336286 | − | 1.25503i | ||||
\(188\) | 12.3526 | − | 3.30988i | 0.900908 | − | 0.241398i | ||||
\(189\) | 2.49165 | + | 4.55979i | 0.181241 | + | 0.331676i | ||||
\(190\) | −18.3485 | − | 18.3485i | −1.33114 | − | 1.33114i | ||||
\(191\) | −3.06904 | + | 1.77191i | −0.222068 | + | 0.128211i | −0.606907 | − | 0.794773i | \(-0.707590\pi\) |
0.384840 | + | 0.922983i | \(0.374257\pi\) | |||||||
\(192\) | 11.9971 | + | 3.31551i | 0.865813 | + | 0.239276i | ||||
\(193\) | −26.2320 | + | 7.02885i | −1.88822 | + | 0.505948i | −0.889416 | + | 0.457099i | \(0.848888\pi\) |
−0.998806 | + | 0.0488482i | \(0.984445\pi\) | |||||||
\(194\) | −10.5034 | − | 18.1925i | −0.754104 | − | 1.30615i | ||||
\(195\) | 12.8829 | + | 2.34011i | 0.922560 | + | 0.167579i | ||||
\(196\) | 0.950307 | − | 1.64598i | 0.0678791 | − | 0.117570i | ||||
\(197\) | 0.425746 | − | 1.58891i | 0.0303332 | − | 0.113205i | −0.949099 | − | 0.314977i | \(-0.898003\pi\) |
0.979433 | + | 0.201772i | \(0.0646699\pi\) | |||||||
\(198\) | −11.8830 | − | 7.11110i | −0.844490 | − | 0.505364i | ||||
\(199\) | 3.58801 | + | 2.07154i | 0.254347 | + | 0.146848i | 0.621753 | − | 0.783213i | \(-0.286421\pi\) |
−0.367406 | + | 0.930061i | \(0.619754\pi\) | |||||||
\(200\) | 0.114517 | − | 0.0306847i | 0.00809755 | − | 0.00216973i | ||||
\(201\) | −1.09629 | − | 0.00858491i | −0.0773261 | − | 0.000605533i | ||||
\(202\) | −13.2655 | − | 13.2655i | −0.933359 | − | 0.933359i | ||||
\(203\) | 8.09764 | + | 2.16976i | 0.568343 | + | 0.152287i | ||||
\(204\) | 17.8336 | − | 17.5565i | 1.24860 | − | 1.22920i | ||||
\(205\) | − | 19.8487i | − | 1.38629i | ||||||
\(206\) | 32.8300 | + | 8.79678i | 2.28738 | + | 0.612901i | ||||
\(207\) | 13.0118 | − | 7.24304i | 0.904380 | − | 0.503426i | ||||
\(208\) | 14.1785 | − | 5.20360i | 0.983106 | − | 0.360805i | ||||
\(209\) | 12.6841 | + | 7.32314i | 0.877374 | + | 0.506552i | ||||
\(210\) | 7.17204 | + | 0.0561635i | 0.494918 | + | 0.00387565i | ||||
\(211\) | 5.91208 | − | 10.2400i | 0.407004 | − | 0.704952i | −0.587548 | − | 0.809189i | \(-0.699907\pi\) |
0.994552 | + | 0.104237i | \(0.0332401\pi\) | |||||||
\(212\) | −7.50065 | −0.515147 | ||||||||
\(213\) | 0.00452951 | − | 0.578415i | 0.000310357 | − | 0.0396323i | ||||
\(214\) | −3.51182 | − | 0.940989i | −0.240063 | − | 0.0643247i | ||||
\(215\) | 3.02812 | + | 11.3011i | 0.206516 | + | 0.770727i | ||||
\(216\) | −0.0239582 | + | 1.01965i | −0.00163015 | + | 0.0693784i | ||||
\(217\) | −2.65412 | + | 4.59708i | −0.180174 | + | 0.312070i | ||||
\(218\) | −27.5599 | −1.86659 | ||||||||
\(219\) | −5.19537 | + | 2.94555i | −0.351070 | + | 0.199042i | ||||
\(220\) | −8.06605 | + | 4.65694i | −0.543813 | + | 0.313971i | ||||
\(221\) | 4.68728 | − | 27.0055i | 0.315301 | − | 1.81659i | ||||
\(222\) | −6.75667 | − | 26.0299i | −0.453478 | − | 1.74701i | ||||
\(223\) | 2.22908 | − | 2.22908i | 0.149270 | − | 0.149270i | −0.628522 | − | 0.777792i | \(-0.716340\pi\) |
0.777792 | + | 0.628522i | \(0.216340\pi\) | |||||||
\(224\) | 6.82470 | − | 3.94024i | 0.455994 | − | 0.263268i | ||||
\(225\) | −0.881311 | − | 1.58323i | −0.0587541 | − | 0.105549i | ||||
\(226\) | −21.6408 | + | 21.6408i | −1.43952 | + | 1.43952i | ||||
\(227\) | −1.15058 | + | 4.29400i | −0.0763663 | + | 0.285003i | −0.993540 | − | 0.113485i | \(-0.963798\pi\) |
0.917173 | + | 0.398489i | \(0.130465\pi\) | |||||||
\(228\) | −0.161537 | + | 20.6282i | −0.0106981 | + | 1.36614i | ||||
\(229\) | −5.45662 | + | 20.3644i | −0.360584 | + | 1.34572i | 0.512726 | + | 0.858552i | \(0.328636\pi\) |
−0.873310 | + | 0.487165i | \(0.838031\pi\) | |||||||
\(230\) | − | 20.5553i | − | 1.35537i | ||||||
\(231\) | −3.91840 | + | 1.01711i | −0.257812 | + | 0.0669211i | ||||
\(232\) | 1.16356 | + | 1.16356i | 0.0763914 | + | 0.0763914i | ||||
\(233\) | −17.5738 | −1.15130 | −0.575649 | − | 0.817697i | \(-0.695251\pi\) | ||||
−0.575649 | + | 0.817697i | \(0.695251\pi\) | |||||||
\(234\) | −12.0250 | − | 17.6571i | −0.786098 | − | 1.15428i | ||||
\(235\) | 14.1075 | 0.920273 | ||||||||
\(236\) | −5.22440 | − | 5.22440i | −0.340079 | − | 0.340079i | ||||
\(237\) | 3.85761 | + | 3.91850i | 0.250579 | + | 0.254534i | ||||
\(238\) | − | 15.0139i | − | 0.973203i | ||||||
\(239\) | −1.47082 | + | 5.48916i | −0.0951393 | + | 0.355065i | −0.997041 | − | 0.0768777i | \(-0.975505\pi\) |
0.901901 | + | 0.431942i | \(0.142172\pi\) | |||||||
\(240\) | 13.1141 | + | 7.70897i | 0.846511 | + | 0.497612i | ||||
\(241\) | 2.12863 | − | 7.94414i | 0.137117 | − | 0.511727i | −0.862863 | − | 0.505437i | \(-0.831331\pi\) |
0.999980 | − | 0.00628974i | \(-0.00200210\pi\) | |||||||
\(242\) | −7.73290 | + | 7.73290i | −0.497090 | + | 0.497090i | ||||
\(243\) | 15.2037 | − | 3.44210i | 0.975317 | − | 0.220811i | ||||
\(244\) | 14.6234 | − | 8.44283i | 0.936168 | − | 0.540497i | ||||
\(245\) | 1.48257 | − | 1.48257i | 0.0947176 | − | 0.0947176i | ||||
\(246\) | −23.0775 | + | 22.7189i | −1.47137 | + | 1.44850i | ||||
\(247\) | 13.0089 | + | 18.4731i | 0.827734 | + | 1.17542i | ||||
\(248\) | −0.902341 | + | 0.520967i | −0.0572987 | + | 0.0330814i | ||||
\(249\) | 0.0646584 | − | 8.25683i | 0.00409756 | − | 0.523255i | ||||
\(250\) | −23.2056 | −1.46765 | ||||||||
\(251\) | 9.16747 | − | 15.8785i | 0.578646 | − | 1.00224i | −0.416989 | − | 0.908911i | \(-0.636915\pi\) |
0.995635 | − | 0.0933322i | \(-0.0297519\pi\) | |||||||
\(252\) | −3.96818 | − | 4.09446i | −0.249972 | − | 0.257927i | ||||
\(253\) | 3.00283 | + | 11.2067i | 0.188787 | + | 0.704561i | ||||
\(254\) | 23.4336 | + | 6.27902i | 1.47036 | + | 0.393981i | ||||
\(255\) | 24.0155 | − | 13.6157i | 1.50391 | − | 0.852650i | ||||
\(256\) | 17.4698 | 1.09186 | ||||||||
\(257\) | −9.76126 | + | 16.9070i | −0.608891 | + | 1.05463i | 0.382533 | + | 0.923942i | \(0.375052\pi\) |
−0.991424 | + | 0.130688i | \(0.958281\pi\) | |||||||
\(258\) | 9.67346 | − | 16.4560i | 0.602244 | − | 1.02450i | ||||
\(259\) | −6.80824 | − | 3.93074i | −0.423043 | − | 0.244244i | ||||
\(260\) | −14.3099 | + | 1.29057i | −0.887460 | + | 0.0800375i | ||||
\(261\) | 12.9145 | − | 21.5808i | 0.799387 | − | 1.33582i | ||||
\(262\) | −6.55987 | − | 1.75771i | −0.405270 | − | 0.108592i | ||||
\(263\) | − | 18.7489i | − | 1.15611i | −0.815998 | − | 0.578055i | \(-0.803812\pi\) | ||
0.815998 | − | 0.578055i | \(-0.196188\pi\) | |||||||
\(264\) | −0.765906 | − | 0.211666i | −0.0471382 | − | 0.0130271i | ||||
\(265\) | −7.99241 | − | 2.14156i | −0.490970 | − | 0.131555i | ||||
\(266\) | 8.75128 | + | 8.75128i | 0.536576 | + | 0.536576i | ||||
\(267\) | −9.34042 | + | 15.8894i | −0.571625 | + | 0.972417i | ||||
\(268\) | 1.16202 | − | 0.311363i | 0.0709818 | − | 0.0190195i | ||||
\(269\) | 9.14433 | + | 5.27948i | 0.557540 | + | 0.321896i | 0.752157 | − | 0.658984i | \(-0.229013\pi\) |
−0.194618 | + | 0.980879i | \(0.562347\pi\) | |||||||
\(270\) | 6.05562 | − | 20.6471i | 0.368534 | − | 1.25654i | ||||
\(271\) | 1.44654 | − | 5.39856i | 0.0878711 | − | 0.327939i | −0.907971 | − | 0.419032i | \(-0.862369\pi\) |
0.995842 | + | 0.0910930i | \(0.0290360\pi\) | |||||||
\(272\) | 15.9219 | − | 27.5775i | 0.965407 | − | 1.67213i | ||||
\(273\) | −6.14445 | − | 1.11611i | −0.371879 | − | 0.0675502i | ||||
\(274\) | −18.8759 | − | 32.6940i | −1.14033 | − | 1.97512i | ||||
\(275\) | 1.36360 | − | 0.365376i | 0.0822282 | − | 0.0220330i | ||||
\(276\) | −11.6451 | + | 11.4641i | −0.700950 | + | 0.690057i | ||||
\(277\) | 20.2912 | − | 11.7151i | 1.21918 | − | 0.703895i | 0.254439 | − | 0.967089i | \(-0.418109\pi\) |
0.964743 | + | 0.263194i | \(0.0847759\pi\) | |||||||
\(278\) | −18.2570 | − | 18.2570i | −1.09498 | − | 1.09498i | ||||
\(279\) | 11.0828 | + | 11.4355i | 0.663508 | + | 0.684623i | ||||
\(280\) | 0.397523 | − | 0.106516i | 0.0237565 | − | 0.00636554i | ||||
\(281\) | −1.94632 | − | 7.26376i | −0.116108 | − | 0.433319i | 0.883260 | − | 0.468884i | \(-0.155344\pi\) |
−0.999367 | + | 0.0355645i | \(0.988677\pi\) | |||||||
\(282\) | −16.1475 | − | 16.4024i | −0.961572 | − | 0.976751i | ||||
\(283\) | −21.7298 | − | 12.5457i | −1.29170 | − | 0.745765i | −0.312747 | − | 0.949837i | \(-0.601249\pi\) |
−0.978956 | + | 0.204072i | \(0.934582\pi\) | |||||||
\(284\) | 0.164279 | + | 0.613098i | 0.00974817 | + | 0.0363807i | ||||
\(285\) | −6.06182 | + | 21.9345i | −0.359071 | + | 1.29929i | ||||
\(286\) | 15.6245 | − | 5.73428i | 0.923896 | − | 0.339075i | ||||
\(287\) | 9.46679i | 0.558807i | ||||||||
\(288\) | −5.76048 | − | 22.9289i | −0.339439 | − | 1.35110i | ||||
\(289\) | −20.3949 | − | 35.3250i | −1.19970 | − | 2.07794i | ||||
\(290\) | −17.3572 | − | 30.0636i | −1.01925 | − | 1.76539i | ||||
\(291\) | −9.33606 | + | 15.8820i | −0.547290 | + | 0.931020i | ||||
\(292\) | 4.63403 | − | 4.63403i | 0.271186 | − | 0.271186i | ||||
\(293\) | 7.15032 | − | 7.15032i | 0.417726 | − | 0.417726i | −0.466693 | − | 0.884419i | \(-0.654555\pi\) |
0.884419 | + | 0.466693i | \(0.154555\pi\) | |||||||
\(294\) | −3.42069 | − | 0.0267871i | −0.199499 | − | 0.00156225i | ||||
\(295\) | −4.07527 | − | 7.05857i | −0.237271 | − | 0.410966i | ||||
\(296\) | −0.771549 | − | 1.33636i | −0.0448454 | − | 0.0776744i | ||||
\(297\) | −0.285281 | + | 12.1414i | −0.0165537 | + | 0.704516i | ||||
\(298\) | 41.6132i | 2.41059i | ||||||||
\(299\) | −3.06072 | + | 17.6341i | −0.177006 | + | 1.01981i | ||||
\(300\) | 1.39492 | + | 1.41694i | 0.0805355 | + | 0.0818068i | ||||
\(301\) | −1.44425 | − | 5.39003i | −0.0832454 | − | 0.310676i | ||||
\(302\) | −0.356675 | − | 0.205926i | −0.0205243 | − | 0.0118497i | ||||
\(303\) | −4.38255 | + | 15.8581i | −0.251771 | + | 0.911025i | ||||
\(304\) | 6.79385 | + | 25.3550i | 0.389654 | + | 1.45421i | ||||
\(305\) | 17.9927 | − | 4.82113i | 1.03026 | − | 0.276057i | ||||
\(306\) | −43.3189 | − | 12.3375i | −2.47638 | − | 0.705290i | ||||
\(307\) | 4.57259 | + | 4.57259i | 0.260971 | + | 0.260971i | 0.825449 | − | 0.564477i | \(-0.190922\pi\) |
−0.564477 | + | 0.825449i | \(0.690922\pi\) | |||||||
\(308\) | 3.84709 | − | 2.22112i | 0.219208 | − | 0.126560i | ||||
\(309\) | −7.48899 | − | 28.8511i | −0.426034 | − | 1.64128i | ||||
\(310\) | 21.2320 | − | 5.68909i | 1.20589 | − | 0.323119i | ||||
\(311\) | 8.63810 | + | 14.9616i | 0.489822 | + | 0.848396i | 0.999931 | − | 0.0117133i | \(-0.00372853\pi\) |
−0.510110 | + | 0.860109i | \(0.670395\pi\) | |||||||
\(312\) | −0.934948 | − | 0.792761i | −0.0529310 | − | 0.0448812i | ||||
\(313\) | 14.7930 | − | 25.6223i | 0.836151 | − | 1.44826i | −0.0569390 | − | 0.998378i | \(-0.518134\pi\) |
0.893090 | − | 0.449878i | \(-0.148533\pi\) | |||||||
\(314\) | −3.31829 | + | 12.3840i | −0.187262 | + | 0.698870i | ||||
\(315\) | −3.05930 | − | 5.49588i | −0.172372 | − | 0.309658i | ||||
\(316\) | −5.22547 | − | 3.01692i | −0.293955 | − | 0.169715i | ||||
\(317\) | 14.6634 | − | 3.92905i | 0.823580 | − | 0.220678i | 0.177669 | − | 0.984090i | \(-0.443144\pi\) |
0.645911 | + | 0.763413i | \(0.276478\pi\) | |||||||
\(318\) | 6.65822 | + | 11.7438i | 0.373374 | + | 0.658559i | ||||
\(319\) | 13.8550 | + | 13.8550i | 0.775732 | + | 0.775732i | ||||
\(320\) | −14.5535 | − | 3.89961i | −0.813567 | − | 0.217995i | ||||
\(321\) | 0.801095 | + | 3.08619i | 0.0447128 | + | 0.172255i | ||||
\(322\) | 9.80380i | 0.546344i | ||||||||
\(323\) | 46.0140 | + | 12.3294i | 2.56028 | + | 0.686026i | ||||
\(324\) | −15.0744 | + | 8.08463i | −0.837467 | + | 0.449146i | ||||
\(325\) | 2.14567 | + | 0.372419i | 0.119020 | + | 0.0206581i | ||||
\(326\) | 8.32972 | + | 4.80916i | 0.461340 | + | 0.266355i | ||||
\(327\) | 11.9206 | + | 21.0256i | 0.659209 | + | 1.16272i | ||||
\(328\) | −0.929099 | + | 1.60925i | −0.0513009 | + | 0.0888558i | ||||
\(329\) | −6.72855 | −0.370957 | ||||||||
\(330\) | 14.4515 | + | 8.49515i | 0.795528 | + | 0.467643i | ||||
\(331\) | −7.87614 | − | 2.11041i | −0.432912 | − | 0.115998i | 0.0357809 | − | 0.999360i | \(-0.488608\pi\) |
−0.468693 | + | 0.883361i | \(0.655275\pi\) | |||||||
\(332\) | 2.34507 | + | 8.75193i | 0.128703 | + | 0.480325i | ||||
\(333\) | −16.9358 | + | 16.4135i | −0.928078 | + | 0.899454i | ||||
\(334\) | 9.06382 | − | 15.6990i | 0.495950 | − | 0.859011i | ||||
\(335\) | 1.32711 | 0.0725076 | ||||||||
\(336\) | −6.25474 | − | 3.67678i | −0.341224 | − | 0.200585i | ||||
\(337\) | −0.739565 | + | 0.426988i | −0.0402867 | + | 0.0232595i | −0.520008 | − | 0.854161i | \(-0.674071\pi\) |
0.479721 | + | 0.877421i | \(0.340738\pi\) | |||||||
\(338\) | 25.5889 | + | 2.10073i | 1.39185 | + | 0.114265i | ||||
\(339\) | 25.8702 | + | 7.14950i | 1.40508 | + | 0.388308i | ||||
\(340\) | −21.4207 | + | 21.4207i | −1.16170 | + | 1.16170i | ||||
\(341\) | −10.7446 | + | 6.20338i | −0.581851 | + | 0.335932i | ||||
\(342\) | 32.4411 | − | 18.0584i | 1.75421 | − | 0.976488i | ||||
\(343\) | −0.707107 | + | 0.707107i | −0.0381802 | + | 0.0381802i | ||||
\(344\) | 0.283487 | − | 1.05799i | 0.0152846 | − | 0.0570428i | ||||
\(345\) | −15.6817 | + | 8.89085i | −0.844275 | + | 0.478667i | ||||
\(346\) | −10.2045 | + | 38.0839i | −0.548599 | + | 2.04740i | ||||
\(347\) | − | 16.4795i | − | 0.884668i | −0.896850 | − | 0.442334i | \(-0.854151\pi\) | ||
0.896850 | − | 0.442334i | \(-0.145849\pi\) | |||||||
\(348\) | −7.35127 | + | 26.6004i | −0.394070 | + | 1.42593i | ||||
\(349\) | −14.9631 | − | 14.9631i | −0.800955 | − | 0.800955i | 0.182290 | − | 0.983245i | \(-0.441649\pi\) |
−0.983245 | + | 0.182290i | \(0.941649\pi\) | |||||||
\(350\) | 1.19290 | 0.0637630 | ||||||||
\(351\) | −8.26944 | + | 16.8112i | −0.441390 | + | 0.897315i | ||||
\(352\) | 18.4187 | 0.981722 | ||||||||
\(353\) | −5.58241 | − | 5.58241i | −0.297122 | − | 0.297122i | 0.542764 | − | 0.839885i | \(-0.317378\pi\) |
−0.839885 | + | 0.542764i | \(0.817378\pi\) | |||||||
\(354\) | −3.54224 | + | 12.8175i | −0.188268 | + | 0.681241i | ||||
\(355\) | 0.700198i | 0.0371627i | ||||||||
\(356\) | 5.23466 | − | 19.5360i | 0.277436 | − | 1.03541i | ||||
\(357\) | −11.4541 | + | 6.49400i | −0.606218 | + | 0.343699i | ||||
\(358\) | −11.3352 | + | 42.3035i | −0.599084 | + | 2.23581i | ||||
\(359\) | 5.67418 | − | 5.67418i | 0.299472 | − | 0.299472i | −0.541335 | − | 0.840807i | \(-0.682081\pi\) |
0.840807 | + | 0.541335i | \(0.182081\pi\) | |||||||
\(360\) | 0.0193354 | − | 1.23449i | 0.00101907 | − | 0.0650631i | ||||
\(361\) | −17.5527 | + | 10.1341i | −0.923828 | + | 0.533372i | ||||
\(362\) | −20.8690 | + | 20.8690i | −1.09685 | + | 1.09685i | ||||
\(363\) | 9.24421 | + | 2.55473i | 0.485195 | + | 0.134089i | ||||
\(364\) | 6.82506 | − | 0.615533i | 0.357731 | − | 0.0322627i | ||||
\(365\) | 6.26093 | − | 3.61475i | 0.327712 | − | 0.189205i | ||||
\(366\) | −26.1999 | − | 15.4013i | −1.36949 | − | 0.805041i | ||||
\(367\) | 19.5278 | 1.01934 | 0.509672 | − | 0.860369i | \(-0.329767\pi\) | ||||
0.509672 | + | 0.860369i | \(0.329767\pi\) | |||||||
\(368\) | −10.3967 | + | 18.0077i | −0.541967 | + | 0.938715i | ||||
\(369\) | 27.3142 | + | 7.77928i | 1.42192 | + | 0.404973i | ||||
\(370\) | 8.42550 | + | 31.4444i | 0.438021 | + | 1.63472i | ||||
\(371\) | 3.81196 | + | 1.02141i | 0.197907 | + | 0.0530291i | ||||
\(372\) | −15.0645 | − | 8.85551i | −0.781059 | − | 0.459137i | ||||
\(373\) | 1.83052 | 0.0947805 | 0.0473902 | − | 0.998876i | \(-0.484910\pi\) | ||||
0.0473902 | + | 0.998876i | \(0.484910\pi\) | |||||||
\(374\) | 17.5456 | − | 30.3900i | 0.907264 | − | 1.57143i | ||||
\(375\) | 10.0372 | + | 17.7037i | 0.518320 | + | 0.914215i | ||||
\(376\) | −1.14378 | − | 0.660360i | −0.0589858 | − | 0.0340555i | ||||
\(377\) | 10.4140 | + | 28.3757i | 0.536350 | + | 1.46142i | ||||
\(378\) | −2.88822 | + | 9.84758i | −0.148554 | + | 0.506505i | ||||
\(379\) | −14.4329 | − | 3.86729i | −0.741369 | − | 0.198649i | −0.131682 | − | 0.991292i | \(-0.542038\pi\) |
−0.609686 | + | 0.792643i | \(0.708705\pi\) | |||||||
\(380\) | − | 24.9714i | − | 1.28101i | ||||||
\(381\) | −5.34554 | − | 20.5935i | −0.273860 | − | 1.05504i | ||||
\(382\) | −6.76054 | − | 1.81148i | −0.345900 | − | 0.0926835i | ||||
\(383\) | 5.43008 | + | 5.43008i | 0.277464 | + | 0.277464i | 0.832096 | − | 0.554632i | \(-0.187141\pi\) |
−0.554632 | + | 0.832096i | \(0.687141\pi\) | |||||||
\(384\) | −1.33977 | − | 2.36309i | −0.0683697 | − | 0.120591i | ||||
\(385\) | 4.73347 | − | 1.26833i | 0.241240 | − | 0.0646401i | ||||
\(386\) | −46.4499 | − | 26.8179i | −2.36424 | − | 1.36499i | ||||
\(387\) | −16.7384 | − | 0.262170i | −0.850863 | − | 0.0133269i | ||||
\(388\) | 5.23222 | − | 19.5269i | 0.265626 | − | 0.991328i | ||||
\(389\) | −5.48133 | + | 9.49394i | −0.277914 | + | 0.481362i | −0.970866 | − | 0.239622i | \(-0.922977\pi\) |
0.692952 | + | 0.720984i | \(0.256310\pi\) | |||||||
\(390\) | 14.7233 | + | 21.2594i | 0.745543 | + | 1.07651i | ||||
\(391\) | 18.8679 | + | 32.6801i | 0.954190 | + | 1.65271i | ||||
\(392\) | −0.189598 | + | 0.0508025i | −0.00957613 | + | 0.00256592i | ||||
\(393\) | 1.49640 | + | 5.76483i | 0.0754833 | + | 0.290797i | ||||
\(394\) | 2.81353 | − | 1.62439i | 0.141744 | − | 0.0818358i | ||||
\(395\) | −4.70668 | − | 4.70668i | −0.236819 | − | 0.236819i | ||||
\(396\) | −3.24718 | − | 12.9250i | −0.163177 | − | 0.649508i | ||||
\(397\) | 18.2759 | − | 4.89701i | 0.917241 | − | 0.245774i | 0.230836 | − | 0.972993i | \(-0.425854\pi\) |
0.686406 | + | 0.727219i | \(0.259187\pi\) | |||||||
\(398\) | 2.11781 | + | 7.90376i | 0.106156 | + | 0.396180i | ||||
\(399\) | 2.89117 | − | 10.4616i | 0.144740 | − | 0.523736i | ||||
\(400\) | 2.19112 | + | 1.26504i | 0.109556 | + | 0.0632521i | ||||
\(401\) | 3.22039 | + | 12.0187i | 0.160819 | + | 0.600183i | 0.998537 | + | 0.0540803i | \(0.0172227\pi\) |
−0.837718 | + | 0.546103i | \(0.816111\pi\) | |||||||
\(402\) | −1.51901 | − | 1.54299i | −0.0757614 | − | 0.0769574i | ||||
\(403\) | −19.0618 | + | 1.71913i | −0.949536 | + | 0.0856359i | ||||
\(404\) | − | 18.0537i | − | 0.898206i | ||||||
\(405\) | −18.3710 | + | 4.31068i | −0.912863 | + | 0.214200i | ||||
\(406\) | 8.27849 | + | 14.3388i | 0.410854 | + | 0.711621i | ||||
\(407\) | −9.18716 | − | 15.9126i | −0.455391 | − | 0.788760i | ||||
\(408\) | −2.58441 | − | 0.0202383i | −0.127948 | − | 0.00100194i | ||||
\(409\) | 4.21783 | − | 4.21783i | 0.208558 | − | 0.208558i | −0.595096 | − | 0.803655i | \(-0.702886\pi\) |
0.803655 | + | 0.595096i | \(0.202886\pi\) | |||||||
\(410\) | 27.7194 | − | 27.7194i | 1.36896 | − | 1.36896i | ||||
\(411\) | −16.7780 | + | 28.5418i | −0.827596 | + | 1.40786i | ||||
\(412\) | 16.3540 | + | 28.3260i | 0.805706 | + | 1.39552i | ||||
\(413\) | 1.94369 | + | 3.36657i | 0.0956428 | + | 0.165658i | ||||
\(414\) | 28.2865 | + | 8.05621i | 1.39021 | + | 0.395941i | ||||
\(415\) | 9.99528i | 0.490649i | ||||||||
\(416\) | 25.7834 | + | 11.9391i | 1.26414 | + | 0.585361i | ||||
\(417\) | −6.03158 | + | 21.8251i | −0.295368 | + | 1.06878i | ||||
\(418\) | 7.48670 | + | 27.9407i | 0.366186 | + | 1.36663i | ||||
\(419\) | −27.9759 | − | 16.1519i | −1.36671 | − | 0.789072i | −0.376207 | − | 0.926536i | \(-0.622772\pi\) |
−0.990507 | + | 0.137463i | \(0.956105\pi\) | |||||||
\(420\) | 4.84218 | + | 4.91862i | 0.236274 | + | 0.240004i | ||||
\(421\) | −0.739430 | − | 2.75959i | −0.0360376 | − | 0.134494i | 0.945563 | − | 0.325438i | \(-0.105512\pi\) |
−0.981601 | + | 0.190944i | \(0.938845\pi\) | |||||||
\(422\) | 22.5570 | − | 6.04412i | 1.09806 | − | 0.294223i | ||||
\(423\) | −5.52915 | + | 19.4136i | −0.268836 | + | 0.943924i | ||||
\(424\) | 0.547746 | + | 0.547746i | 0.0266009 | + | 0.0266009i | ||||
\(425\) | 3.97642 | − | 2.29579i | 0.192885 | − | 0.111362i | ||||
\(426\) | 0.814101 | − | 0.801450i | 0.0394433 | − | 0.0388304i | ||||
\(427\) | −8.58159 | + | 2.29943i | −0.415292 | + | 0.111277i | ||||
\(428\) | −1.74939 | − | 3.03003i | −0.0845598 | − | 0.146462i | ||||
\(429\) | −11.1328 | − | 9.43975i | −0.537498 | − | 0.455755i | ||||
\(430\) | −11.5535 | + | 20.0112i | −0.557158 | + | 0.965026i | ||||
\(431\) | 5.12486 | − | 19.1262i | 0.246856 | − | 0.921278i | −0.725586 | − | 0.688132i | \(-0.758431\pi\) |
0.972442 | − | 0.233147i | \(-0.0749022\pi\) | |||||||
\(432\) | −15.7483 | + | 15.0252i | −0.757689 | + | 0.722900i | ||||
\(433\) | 6.70917 | + | 3.87354i | 0.322422 | + | 0.186151i | 0.652472 | − | 0.757813i | \(-0.273732\pi\) |
−0.330049 | + | 0.943964i | \(0.607065\pi\) | |||||||
\(434\) | −10.1265 | + | 2.71340i | −0.486090 | + | 0.130247i | ||||
\(435\) | −15.4281 | + | 26.2454i | −0.739720 | + | 1.25837i | ||||
\(436\) | −18.7538 | − | 18.7538i | −0.898144 | − | 0.898144i | ||||
\(437\) | −30.0463 | − | 8.05089i | −1.43731 | − | 0.385126i | ||||
\(438\) | −11.3691 | − | 3.14195i | −0.543235 | − | 0.150128i | ||||
\(439\) | 31.1172i | 1.48514i | 0.669766 | + | 0.742572i | \(0.266394\pi\) | ||||
−0.669766 | + | 0.742572i | \(0.733606\pi\) | |||||||
\(440\) | 0.929114 | + | 0.248955i | 0.0442938 | + | 0.0118685i | ||||
\(441\) | 1.45913 | + | 2.62125i | 0.0694823 | + | 0.124821i | ||||
\(442\) | 44.2600 | − | 31.1681i | 2.10524 | − | 1.48252i | ||||
\(443\) | −26.7923 | − | 15.4685i | −1.27294 | − | 0.734932i | −0.297400 | − | 0.954753i | \(-0.596119\pi\) |
−0.975540 | + | 0.219821i | \(0.929453\pi\) | |||||||
\(444\) | 13.1149 | − | 22.3104i | 0.622408 | − | 1.05881i | ||||
\(445\) | 11.1557 | − | 19.3223i | 0.528831 | − | 0.915963i | ||||
\(446\) | 6.22597 | 0.294808 | ||||||||
\(447\) | 31.7469 | − | 17.9991i | 1.50158 | − | 0.851329i | ||||
\(448\) | 6.94128 | + | 1.85991i | 0.327945 | + | 0.0878725i | ||||
\(449\) | −0.410668 | − | 1.53263i | −0.0193806 | − | 0.0723294i | 0.955558 | − | 0.294802i | \(-0.0952538\pi\) |
−0.974939 | + | 0.222473i | \(0.928587\pi\) | |||||||
\(450\) | 0.980254 | − | 3.44182i | 0.0462096 | − | 0.162249i | ||||
\(451\) | −11.0632 | + | 19.1620i | −0.520945 | + | 0.902303i | ||||
\(452\) | −29.4521 | −1.38531 | ||||||||
\(453\) | −0.00282835 | + | 0.361179i | −0.000132888 | + | 0.0169697i | ||||
\(454\) | −7.60354 | + | 4.38991i | −0.356852 | + | 0.206029i | ||||
\(455\) | 7.44827 | + | 1.29278i | 0.349180 | + | 0.0606064i | ||||
\(456\) | 1.51820 | − | 1.49461i | 0.0710963 | − | 0.0699914i | ||||
\(457\) | −4.53901 | + | 4.53901i | −0.212326 | + | 0.212326i | −0.805255 | − | 0.592929i | \(-0.797971\pi\) |
0.592929 | + | 0.805255i | \(0.297971\pi\) | |||||||
\(458\) | −36.0599 | + | 20.8192i | −1.68497 | + | 0.972818i | ||||
\(459\) | 9.32451 | + | 38.3846i | 0.435231 | + | 1.79164i | ||||
\(460\) | 13.9874 | − | 13.9874i | 0.652164 | − | 0.652164i | ||||
\(461\) | −3.52554 | + | 13.1575i | −0.164201 | + | 0.612805i | 0.833940 | + | 0.551855i | \(0.186080\pi\) |
−0.998141 | + | 0.0609502i | \(0.980587\pi\) | |||||||
\(462\) | −6.89261 | − | 4.05174i | −0.320673 | − | 0.188504i | ||||
\(463\) | 4.19789 | − | 15.6667i | 0.195092 | − | 0.728094i | −0.797151 | − | 0.603780i | \(-0.793660\pi\) |
0.992243 | − | 0.124314i | \(-0.0396730\pi\) | |||||||
\(464\) | 35.1167i | 1.63025i | ||||||||
\(465\) | −13.5238 | − | 13.7373i | −0.627150 | − | 0.637050i | ||||
\(466\) | −24.5424 | − | 24.5424i | −1.13691 | − | 1.13691i | ||||
\(467\) | −10.5976 | −0.490400 | −0.245200 | − | 0.969472i | \(-0.578854\pi\) | ||||
−0.245200 | + | 0.969472i | \(0.578854\pi\) | |||||||
\(468\) | 3.83248 | − | 20.1979i | 0.177156 | − | 0.933649i | ||||
\(469\) | −0.632961 | −0.0292274 | ||||||||
\(470\) | 19.7016 | + | 19.7016i | 0.908768 | + | 0.908768i | ||||
\(471\) | 10.8831 | − | 2.82497i | 0.501467 | − | 0.130168i | ||||
\(472\) | 0.763038i | 0.0351217i | ||||||||
\(473\) | 3.37560 | − | 12.5979i | 0.155210 | − | 0.579252i | ||||
\(474\) | −0.0850405 | + | 10.8596i | −0.00390604 | + | 0.498798i | ||||
\(475\) | −0.979608 | + | 3.65595i | −0.0449475 | + | 0.167746i | ||||
\(476\) | 10.2166 | − | 10.2166i | 0.468275 | − | 0.468275i | ||||
\(477\) | 6.07950 | − | 10.1592i | 0.278361 | − | 0.465157i | ||||
\(478\) | −9.71985 | + | 5.61176i | −0.444576 | + | 0.256676i | ||||
\(479\) | −14.6436 | + | 14.6436i | −0.669084 | + | 0.669084i | −0.957504 | − | 0.288420i | \(-0.906870\pi\) |
0.288420 | + | 0.957504i | \(0.406870\pi\) | |||||||
\(480\) | 7.19024 | + | 27.7002i | 0.328188 | + | 1.26434i | ||||
\(481\) | −2.54602 | − | 28.2304i | −0.116088 | − | 1.28719i | ||||
\(482\) | 14.0670 | − | 8.12156i | 0.640732 | − | 0.369927i | ||||
\(483\) | 7.47937 | − | 4.24047i | 0.340323 | − | 0.192948i | ||||
\(484\) | −10.5241 | −0.478368 | ||||||||
\(485\) | 11.1505 | − | 19.3132i | 0.506318 | − | 0.876969i | ||||
\(486\) | 26.0395 | + | 16.4255i | 1.18117 | + | 0.745074i | ||||
\(487\) | 0.295814 | + | 1.10399i | 0.0134046 | + | 0.0500266i | 0.972304 | − | 0.233719i | \(-0.0750896\pi\) |
−0.958900 | + | 0.283746i | \(0.908423\pi\) | |||||||
\(488\) | −1.68444 | − | 0.451346i | −0.0762512 | − | 0.0204315i | ||||
\(489\) | 0.0660529 | − | 8.43491i | 0.00298702 | − | 0.381440i | ||||
\(490\) | 4.14091 | 0.187067 | ||||||||
\(491\) | 9.40645 | − | 16.2925i | 0.424507 | − | 0.735268i | −0.571867 | − | 0.820346i | \(-0.693781\pi\) |
0.996374 | + | 0.0850782i | \(0.0271140\pi\) | |||||||
\(492\) | −31.1634 | − | 0.244037i | −1.40495 | − | 0.0110020i | ||||
\(493\) | 55.1913 | + | 31.8647i | 2.48569 | + | 1.43511i | ||||
\(494\) | −7.63101 | + | 43.9656i | −0.343335 | + | 1.97811i | ||||
\(495\) | 0.230236 | − | 14.6996i | 0.0103483 | − | 0.660696i | ||||
\(496\) | −21.4780 | − | 5.75502i | −0.964391 | − | 0.258408i | ||||
\(497\) | − | 0.333958i | − | 0.0149801i | ||||||
\(498\) | 11.6212 | − | 11.4406i | 0.520760 | − | 0.512668i | ||||
\(499\) | 17.0207 | + | 4.56069i | 0.761952 | + | 0.204164i | 0.618813 | − | 0.785538i | \(-0.287614\pi\) |
0.143139 | + | 0.989703i | \(0.454280\pi\) | |||||||
\(500\) | −15.7909 | − | 15.7909i | −0.706189 | − | 0.706189i | ||||
\(501\) | −15.8973 | − | 0.124490i | −0.710237 | − | 0.00556179i | ||||
\(502\) | 34.9776 | − | 9.37222i | 1.56113 | − | 0.418302i | ||||
\(503\) | −25.7962 | − | 14.8934i | −1.15020 | − | 0.664065i | −0.201260 | − | 0.979538i | \(-0.564504\pi\) |
−0.948935 | + | 0.315472i | \(0.897837\pi\) | |||||||
\(504\) | −0.00922200 | + | 0.588785i | −0.000410781 | + | 0.0262266i | ||||
\(505\) | 5.15463 | − | 19.2374i | 0.229378 | − | 0.856051i | ||||
\(506\) | −11.4570 | + | 19.8441i | −0.509326 | + | 0.882179i | ||||
\(507\) | −9.46539 | − | 20.4305i | −0.420373 | − | 0.907351i | ||||
\(508\) | 11.6733 | + | 20.2187i | 0.517918 | + | 0.897061i | ||||
\(509\) | 16.1257 | − | 4.32088i | 0.714761 | − | 0.191520i | 0.116928 | − | 0.993140i | \(-0.462695\pi\) |
0.597833 | + | 0.801621i | \(0.296029\pi\) | |||||||
\(510\) | 52.5533 | + | 14.5236i | 2.32710 | + | 0.643117i | ||||
\(511\) | −2.98614 | + | 1.72405i | −0.132099 | + | 0.0762674i | ||||
\(512\) | 22.1792 | + | 22.1792i | 0.980189 | + | 0.980189i | ||||
\(513\) | −27.8087 | − | 16.9386i | −1.22778 | − | 0.747856i | ||||
\(514\) | −37.2431 | + | 9.97927i | −1.64272 | + | 0.440167i | ||||
\(515\) | 9.33870 | + | 34.8525i | 0.411512 | + | 1.53578i | ||||
\(516\) | 17.7804 | − | 4.61534i | 0.782741 | − | 0.203179i | ||||
\(517\) | −13.6195 | − | 7.86319i | −0.598983 | − | 0.345823i | ||||
\(518\) | −4.01853 | − | 14.9974i | −0.176564 | − | 0.658946i | ||||
\(519\) | 33.4682 | − | 8.68746i | 1.46909 | − | 0.381337i | ||||
\(520\) | 1.13924 | + | 0.950753i | 0.0499591 | + | 0.0416933i | ||||
\(521\) | 41.6498i | 1.82471i | 0.409400 | + | 0.912355i | \(0.365738\pi\) | ||||
−0.409400 | + | 0.912355i | \(0.634262\pi\) | |||||||
\(522\) | 48.1739 | − | 12.1028i | 2.10851 | − | 0.529726i | ||||
\(523\) | −21.2848 | − | 36.8664i | −0.930721 | − | 1.61206i | −0.782093 | − | 0.623162i | \(-0.785848\pi\) |
−0.148628 | − | 0.988893i | \(-0.547486\pi\) | |||||||
\(524\) | −3.26775 | − | 5.65991i | −0.142752 | − | 0.247254i | ||||
\(525\) | −0.515968 | − | 0.910066i | −0.0225187 | − | 0.0397185i | ||||
\(526\) | 26.1835 | − | 26.1835i | 1.14166 | − | 1.14166i | ||||
\(527\) | −28.5339 | + | 28.5339i | −1.24296 | + | 1.24296i | ||||
\(528\) | −8.36360 | − | 14.7518i | −0.363979 | − | 0.641988i | ||||
\(529\) | −0.820417 | − | 1.42100i | −0.0356703 | − | 0.0617828i | ||||
\(530\) | −8.17091 | − | 14.1524i | −0.354922 | − | 0.614742i | ||||
\(531\) | 11.3107 | − | 2.84160i | 0.490841 | − | 0.123315i | ||||
\(532\) | 11.9101i | 0.516367i | ||||||||
\(533\) | −27.9076 | + | 19.6527i | −1.20881 | + | 0.851252i | ||||
\(534\) | −35.2343 | + | 9.14591i | −1.52474 | + | 0.395782i | ||||
\(535\) | −0.998958 | − | 3.72816i | −0.0431887 | − | 0.161182i | ||||
\(536\) | −0.107596 | − | 0.0621206i | −0.00464744 | − | 0.00268320i | ||||
\(537\) | 37.1764 | − | 9.65002i | 1.60428 | − | 0.416429i | ||||
\(538\) | 5.39739 | + | 20.1433i | 0.232698 | + | 0.868441i | ||||
\(539\) | −2.25762 | + | 0.604928i | −0.0972426 | + | 0.0260561i | ||||
\(540\) | 18.1705 | − | 9.92912i | 0.781935 | − | 0.427281i | ||||
\(541\) | 11.0537 | + | 11.0537i | 0.475237 | + | 0.475237i | 0.903605 | − | 0.428367i | \(-0.140911\pi\) |
−0.428367 | + | 0.903605i | \(0.640911\pi\) | |||||||
\(542\) | 9.55942 | − | 5.51913i | 0.410612 | − | 0.237067i | ||||
\(543\) | 24.9477 | + | 6.89454i | 1.07061 | + | 0.295873i | ||||
\(544\) | 57.8658 | − | 15.5051i | 2.48098 | − | 0.664776i | ||||
\(545\) | −14.6288 | − | 25.3379i | −0.626630 | − | 1.08535i | ||||
\(546\) | −7.02225 | − | 10.1396i | −0.300524 | − | 0.433936i | ||||
\(547\) | 14.0626 | − | 24.3571i | 0.601274 | − | 1.04144i | −0.391355 | − | 0.920240i | \(-0.627994\pi\) |
0.992629 | − | 0.121197i | \(-0.0386731\pi\) | |||||||
\(548\) | 9.40289 | − | 35.0921i | 0.401672 | − | 1.49906i | ||||
\(549\) | −0.417407 | + | 26.6497i | −0.0178145 | + | 1.13738i | ||||
\(550\) | 2.41457 | + | 1.39405i | 0.102958 | + | 0.0594427i | ||||
\(551\) | −50.7433 | + | 13.5966i | −2.16174 | + | 0.579235i | ||||
\(552\) | 1.68758 | + | 0.0132153i | 0.0718281 | + | 0.000562479i | ||||
\(553\) | 2.24484 | + | 2.24484i | 0.0954603 | + | 0.0954603i | ||||
\(554\) | 44.6980 | + | 11.9768i | 1.89904 | + | 0.508845i | ||||
\(555\) | 20.3448 | − | 20.0286i | 0.863588 | − | 0.850168i | ||||
\(556\) | − | 24.8468i | − | 1.05374i | ||||||
\(557\) | −8.86232 | − | 2.37465i | −0.375509 | − | 0.100617i | 0.0661282 | − | 0.997811i | \(-0.478935\pi\) |
−0.441637 | + | 0.897194i | \(0.645602\pi\) | |||||||
\(558\) | −0.492554 | + | 31.4475i | −0.0208515 | + | 1.33128i | ||||
\(559\) | 12.8913 | − | 15.4471i | 0.545244 | − | 0.653341i | ||||
\(560\) | 7.60604 | + | 4.39135i | 0.321414 | + | 0.185568i | ||||
\(561\) | −30.7737 | − | 0.240986i | −1.29927 | − | 0.0101744i | ||||
\(562\) | 7.42598 | − | 12.8622i | 0.313246 | − | 0.542558i | ||||
\(563\) | 20.4952 | 0.863771 | 0.431885 | − | 0.901928i | \(-0.357848\pi\) | ||||
0.431885 | + | 0.901928i | \(0.357848\pi\) | |||||||
\(564\) | 0.173450 | − | 22.1495i | 0.00730357 | − | 0.932660i | ||||
\(565\) | −31.3830 | − | 8.40905i | −1.32029 | − | 0.353771i | ||||
\(566\) | −12.8259 | − | 47.8669i | −0.539113 | − | 2.01200i | ||||
\(567\) | 8.76202 | − | 2.05597i | 0.367970 | − | 0.0863427i | ||||
\(568\) | 0.0327756 | − | 0.0567691i | 0.00137523 | − | 0.00238198i | ||||
\(569\) | 2.04007 | 0.0855242 | 0.0427621 | − | 0.999085i | \(-0.486384\pi\) | ||||
0.0427621 | + | 0.999085i | \(0.486384\pi\) | |||||||
\(570\) | −39.0978 | + | 22.1668i | −1.63763 | + | 0.928463i | ||||
\(571\) | −0.575750 | + | 0.332409i | −0.0240944 | + | 0.0139109i | −0.511999 | − | 0.858986i | \(-0.671095\pi\) |
0.487904 | + | 0.872897i | \(0.337761\pi\) | |||||||
\(572\) | 14.5341 | + | 6.73006i | 0.607702 | + | 0.281398i | ||||
\(573\) | 1.54217 | + | 5.94118i | 0.0644252 | + | 0.248196i | ||||
\(574\) | −13.2207 | + | 13.2207i | −0.551821 | + | 0.551821i | ||||
\(575\) | −2.59654 | + | 1.49911i | −0.108283 | + | 0.0625172i | ||||
\(576\) | 11.0703 | − | 18.4990i | 0.461262 | − | 0.770794i | ||||
\(577\) | 7.03311 | − | 7.03311i | 0.292792 | − | 0.292792i | −0.545390 | − | 0.838182i | \(-0.683618\pi\) |
0.838182 | + | 0.545390i | \(0.183618\pi\) | |||||||
\(578\) | 20.8504 | − | 77.8147i | 0.867262 | − | 3.23667i | ||||
\(579\) | −0.368338 | + | 47.0365i | −0.0153076 | + | 1.95477i | ||||
\(580\) | 8.64637 | − | 32.2687i | 0.359021 | − | 1.33988i | ||||
\(581\) | − | 4.76723i | − | 0.197778i | ||||||
\(582\) | −35.2179 | + | 9.14164i | −1.45983 | + | 0.378933i | ||||
\(583\) | 6.52225 | + | 6.52225i | 0.270124 | + | 0.270124i | ||||
\(584\) | −0.676813 | −0.0280067 | ||||||||
\(585\) | 9.85057 | − | 20.4279i | 0.407271 | − | 0.844589i | ||||
\(586\) | 19.9713 | 0.825008 | ||||||||
\(587\) | −17.7017 | − | 17.7017i | −0.730627 | − | 0.730627i | 0.240117 | − | 0.970744i | \(-0.422814\pi\) |
−0.970744 | + | 0.240117i | \(0.922814\pi\) | |||||||
\(588\) | −2.30947 | − | 2.34592i | −0.0952409 | − | 0.0967443i | ||||
\(589\) | − | 33.2638i | − | 1.37061i | ||||||
\(590\) | 4.16628 | − | 15.5488i | 0.171523 | − | 0.640133i | ||||
\(591\) | −2.45621 | − | 1.44385i | −0.101035 | − | 0.0593922i | ||||
\(592\) | 8.52314 | − | 31.8088i | 0.350299 | − | 1.30733i | ||||
\(593\) | 7.38066 | − | 7.38066i | 0.303087 | − | 0.303087i | −0.539133 | − | 0.842221i | \(-0.681248\pi\) |
0.842221 | + | 0.539133i | \(0.181248\pi\) | |||||||
\(594\) | −17.3543 | + | 16.5575i | −0.712056 | + | 0.679362i | ||||
\(595\) | 13.8034 | − | 7.96938i | 0.565883 | − | 0.326713i | ||||
\(596\) | −28.3168 | + | 28.3168i | −1.15990 | + | 1.15990i | ||||
\(597\) | 5.11379 | − | 5.03433i | 0.209294 | − | 0.206041i | ||||
\(598\) | −28.9011 | + | 20.3523i | −1.18185 | + | 0.832267i | ||||
\(599\) | −9.55507 | + | 5.51662i | −0.390409 | + | 0.225403i | −0.682338 | − | 0.731037i | \(-0.739037\pi\) |
0.291928 | + | 0.956440i | \(0.405703\pi\) | |||||||
\(600\) | 0.00160799 | − | 0.205339i | 6.56460e−5 | − | 0.00838295i | ||||
\(601\) | −1.90111 | −0.0775477 | −0.0387739 | − | 0.999248i | \(-0.512345\pi\) | ||||
−0.0387739 | + | 0.999248i | \(0.512345\pi\) | |||||||
\(602\) | 5.51041 | − | 9.54431i | 0.224587 | − | 0.388997i | ||||
\(603\) | −0.520131 | + | 1.82626i | −0.0211814 | + | 0.0743710i | ||||
\(604\) | −0.102581 | − | 0.382836i | −0.00417395 | − | 0.0155774i | ||||
\(605\) | −11.2141 | − | 3.00480i | −0.455917 | − | 0.122163i | ||||
\(606\) | −28.2668 | + | 16.0260i | −1.14826 | + | 0.651013i | ||||
\(607\) | 19.5902 | 0.795141 | 0.397570 | − | 0.917572i | \(-0.369853\pi\) | ||||
0.397570 | + | 0.917572i | \(0.369853\pi\) | |||||||
\(608\) | −24.6912 | + | 42.7665i | −1.00136 | + | 1.73441i | ||||
\(609\) | 7.35839 | − | 12.5177i | 0.298177 | − | 0.507243i | ||||
\(610\) | 31.8603 | + | 18.3946i | 1.28999 | + | 0.744774i | ||||
\(611\) | −13.9682 | − | 19.8354i | −0.565093 | − | 0.802455i | ||||
\(612\) | −21.0821 | − | 37.8728i | −0.852192 | − | 1.53092i | ||||
\(613\) | −15.8195 | − | 4.23882i | −0.638943 | − | 0.171204i | −0.0752185 | − | 0.997167i | \(-0.523965\pi\) |
−0.563725 | + | 0.825963i | \(0.690632\pi\) | |||||||
\(614\) | 12.7715i | 0.515418i | ||||||||
\(615\) | −33.1368 | − | 9.15769i | −1.33621 | − | 0.369274i | ||||
\(616\) | −0.443139 | − | 0.118739i | −0.0178546 | − | 0.00478412i | ||||
\(617\) | 10.8916 | + | 10.8916i | 0.438478 | + | 0.438478i | 0.891499 | − | 0.453022i | \(-0.149654\pi\) |
−0.453022 | + | 0.891499i | \(0.649654\pi\) | |||||||
\(618\) | 29.8329 | − | 50.7502i | 1.20006 | − | 2.04147i | ||||
\(619\) | 41.0385 | − | 10.9962i | 1.64948 | − | 0.441976i | 0.690010 | − | 0.723799i | \(-0.257606\pi\) |
0.959466 | + | 0.281823i | \(0.0909392\pi\) | |||||||
\(620\) | 18.3191 | + | 10.5766i | 0.735714 | + | 0.424765i | ||||
\(621\) | −6.08875 | − | 25.0645i | −0.244333 | − | 1.00580i | ||||
\(622\) | −8.83102 | + | 32.9578i | −0.354092 | + | 1.32149i | ||||
\(623\) | −5.32069 | + | 9.21571i | −0.213169 | + | 0.369220i | ||||
\(624\) | −2.14564 | − | 26.0715i | −0.0858941 | − | 1.04369i | ||||
\(625\) | −10.8076 | − | 18.7193i | −0.432304 | − | 0.748772i | ||||
\(626\) | 56.4413 | − | 15.1234i | 2.25585 | − | 0.604453i | ||||
\(627\) | 18.0779 | − | 17.7969i | 0.721961 | − | 0.710742i | ||||
\(628\) | −10.6850 | + | 6.16901i | −0.426379 | + | 0.246170i | ||||
\(629\) | −42.2586 | − | 42.2586i | −1.68496 | − | 1.68496i | ||||
\(630\) | 3.40276 | − | 11.9476i | 0.135569 | − | 0.476004i | ||||
\(631\) | 18.8286 | − | 5.04511i | 0.749555 | − | 0.200843i | 0.136234 | − | 0.990677i | \(-0.456500\pi\) |
0.613321 | + | 0.789834i | \(0.289833\pi\) | |||||||
\(632\) | 0.161282 | + | 0.601912i | 0.00641545 | + | 0.0239428i | ||||
\(633\) | −14.3677 | − | 14.5945i | −0.571066 | − | 0.580081i | ||||
\(634\) | 25.9650 | + | 14.9909i | 1.03120 | + | 0.595365i | ||||
\(635\) | 6.66583 | + | 24.8772i | 0.264525 | + | 0.987222i | ||||
\(636\) | −3.46061 | + | 12.5221i | −0.137222 | + | 0.496534i | ||||
\(637\) | −3.55244 | − | 0.616588i | −0.140753 | − | 0.0244301i | ||||
\(638\) | 38.6980i | 1.53207i | ||||||||
\(639\) | −0.963557 | − | 0.274428i | −0.0381177 | − | 0.0108562i | ||||
\(640\) | 1.64415 | + | 2.84775i | 0.0649907 | + | 0.112567i | ||||
\(641\) | 8.99801 | + | 15.5850i | 0.355400 | + | 0.615571i | 0.987186 | − | 0.159572i | \(-0.0510114\pi\) |
−0.631786 | + | 0.775143i | \(0.717678\pi\) | |||||||
\(642\) | −3.19122 | + | 5.42873i | −0.125947 | + | 0.214255i | ||||
\(643\) | 8.01629 | − | 8.01629i | 0.316132 | − | 0.316132i | −0.531148 | − | 0.847279i | \(-0.678239\pi\) |
0.847279 | + | 0.531148i | \(0.178239\pi\) | |||||||
\(644\) | −6.67124 | + | 6.67124i | −0.262884 | + | 0.262884i | ||||
\(645\) | 20.2639 | + | 0.158685i | 0.797891 | + | 0.00624820i | ||||
\(646\) | 47.0416 | + | 81.4785i | 1.85083 | + | 3.20573i | ||||
\(647\) | −3.93070 | − | 6.80817i | −0.154532 | − | 0.267657i | 0.778357 | − | 0.627822i | \(-0.216054\pi\) |
−0.932888 | + | 0.360166i | \(0.882720\pi\) | |||||||
\(648\) | 1.69122 | + | 0.510439i | 0.0664375 | + | 0.0200519i | ||||
\(649\) | 9.08583i | 0.356650i | ||||||||
\(650\) | 2.47640 | + | 3.51659i | 0.0971325 | + | 0.137932i | ||||
\(651\) | 6.45014 | + | 6.55196i | 0.252801 | + | 0.256791i | ||||
\(652\) | 2.39565 | + | 8.94069i | 0.0938209 | + | 0.350144i | ||||
\(653\) | 6.36692 | + | 3.67594i | 0.249157 | + | 0.143851i | 0.619378 | − | 0.785093i | \(-0.287385\pi\) |
−0.370221 | + | 0.928944i | \(0.620718\pi\) | |||||||
\(654\) | −12.7154 | + | 46.0104i | −0.497212 | + | 1.79915i | ||||
\(655\) | −1.86599 | − | 6.96398i | −0.0729104 | − | 0.272105i | ||||
\(656\) | −38.3042 | + | 10.2636i | −1.49553 | + | 0.400725i | ||||
\(657\) | 2.52049 | + | 10.0325i | 0.0983337 | + | 0.391406i | ||||
\(658\) | −9.39665 | − | 9.39665i | −0.366320 | − | 0.366320i | ||||
\(659\) | 34.4842 | − | 19.9095i | 1.34332 | − | 0.775563i | 0.356023 | − | 0.934477i | \(-0.384133\pi\) |
0.987292 | + | 0.158914i | \(0.0507993\pi\) | |||||||
\(660\) | 4.05315 | + | 15.6146i | 0.157768 | + | 0.607799i | ||||
\(661\) | 13.0700 | − | 3.50209i | 0.508363 | − | 0.136215i | 0.00448436 | − | 0.999990i | \(-0.498573\pi\) |
0.503879 | + | 0.863775i | \(0.331906\pi\) | |||||||
\(662\) | −8.05204 | − | 13.9466i | −0.312952 | − | 0.542048i | ||||
\(663\) | −42.9223 | − | 20.2849i | −1.66696 | − | 0.787802i | ||||
\(664\) | 0.467870 | − | 0.810375i | 0.0181569 | − | 0.0314486i | ||||
\(665\) | −3.40052 | + | 12.6909i | −0.131867 | + | 0.492132i | ||||
\(666\) | −46.5735 | − | 0.729469i | −1.80469 | − | 0.0282664i | ||||
\(667\) | −36.0390 | − | 20.8071i | −1.39544 | − | 0.805655i | ||||
\(668\) | 16.8505 | − | 4.51508i | 0.651965 | − | 0.174694i | ||||
\(669\) | −2.69294 | − | 4.74982i | −0.104115 | − | 0.183639i | ||||
\(670\) | 1.85335 | + | 1.85335i | 0.0716011 | + | 0.0716011i | ||||
\(671\) | −20.0574 | − | 5.37437i | −0.774308 | − | 0.207475i | ||||
\(672\) | −3.42937 | − | 13.2116i | −0.132291 | − | 0.509647i | ||||
\(673\) | 18.9619i | 0.730929i | 0.930825 | + | 0.365464i | \(0.119090\pi\) | ||||
−0.930825 | + | 0.365464i | \(0.880910\pi\) | |||||||
\(674\) | −1.62913 | − | 0.436524i | −0.0627518 | − | 0.0168143i | ||||
\(675\) | −3.04977 | + | 0.740861i | −0.117386 | + | 0.0285157i | ||||
\(676\) | 15.9831 | + | 18.8421i | 0.614735 | + | 0.724696i | ||||
\(677\) | −3.93111 | − | 2.26963i | −0.151085 | − | 0.0872288i | 0.422552 | − | 0.906339i | \(-0.361134\pi\) |
−0.573637 | + | 0.819110i | \(0.694468\pi\) | |||||||
\(678\) | 26.1442 | + | 46.1132i | 1.00406 | + | 1.77097i | ||||
\(679\) | −5.31821 | + | 9.21141i | −0.204094 | + | 0.353501i | ||||
\(680\) | 3.12855 | 0.119975 | ||||||||
\(681\) | 6.63787 | + | 3.90200i | 0.254364 | + | 0.149525i | ||||
\(682\) | −23.6684 | − | 6.34193i | −0.906309 | − | 0.242845i | ||||
\(683\) | 0.549464 | + | 2.05063i | 0.0210246 | + | 0.0784650i | 0.975641 | − | 0.219373i | \(-0.0704011\pi\) |
−0.954616 | + | 0.297838i | \(0.903734\pi\) | |||||||
\(684\) | 34.3637 | + | 9.78702i | 1.31393 | + | 0.374216i | ||||
\(685\) | 20.0387 | − | 34.7081i | 0.765640 | − | 1.32613i | ||||
\(686\) | −1.97500 | −0.0754057 | ||||||||
\(687\) | 31.4802 | + | 18.5053i | 1.20105 | + | 0.706021i | ||||
\(688\) | 20.2431 | − | 11.6874i | 0.771761 | − | 0.445577i | ||||
\(689\) | 4.90241 | + | 13.3579i | 0.186767 | + | 0.508895i | ||||
\(690\) | −34.3164 | − | 9.48369i | −1.30640 | − | 0.361038i | ||||
\(691\) | −22.5599 | + | 22.5599i | −0.858217 | + | 0.858217i | −0.991128 | − | 0.132911i | \(-0.957568\pi\) |
0.132911 | + | 0.991128i | \(0.457568\pi\) | |||||||
\(692\) | −32.8591 | + | 18.9712i | −1.24911 | + | 0.721177i | ||||
\(693\) | −0.109810 | + | 7.01092i | −0.00417135 | + | 0.266323i | ||||
\(694\) | 23.0142 | − | 23.0142i | 0.873608 | − | 0.873608i | ||||
\(695\) | 7.09418 | − | 26.4759i | 0.269098 | − | 1.00429i | ||||
\(696\) | 2.47937 | − | 1.40569i | 0.0939801 | − | 0.0532826i | ||||
\(697\) | −18.6262 | + | 69.5140i | −0.705518 | + | 2.63303i | ||||
\(698\) | − | 41.7929i | − | 1.58188i | ||||||
\(699\) | −8.10812 | + | 29.3390i | −0.306677 | + | 1.10970i | ||||
\(700\) | 0.811736 | + | 0.811736i | 0.0306808 | + | 0.0306808i | ||||
\(701\) | −34.2345 | −1.29302 | −0.646510 | − | 0.762906i | \(-0.723772\pi\) | ||||
−0.646510 | + | 0.762906i | \(0.723772\pi\) | |||||||
\(702\) | −35.0260 | + | 11.9289i | −1.32197 | + | 0.450226i | ||||
\(703\) | 49.2634 | 1.85800 | ||||||||
\(704\) | 11.8765 | + | 11.8765i | 0.447612 | + | 0.447612i | ||||
\(705\) | 6.50886 | − | 23.5521i | 0.245138 | − | 0.887023i | ||||
\(706\) | − | 15.5921i | − | 0.586815i | ||||||
\(707\) | −2.45849 | + | 9.17522i | −0.0924611 | + | 0.345070i | ||||
\(708\) | −11.1324 | + | 6.31157i | −0.418381 | + | 0.237203i | ||||
\(709\) | 8.25313 | − | 30.8011i | 0.309953 | − | 1.15676i | −0.618645 | − | 0.785671i | \(-0.712318\pi\) |
0.928597 | − | 0.371089i | \(-0.121015\pi\) | |||||||
\(710\) | −0.977850 | + | 0.977850i | −0.0366981 | + | 0.0366981i | ||||
\(711\) | 8.32163 | − | 4.63227i | 0.312086 | − | 0.173724i | ||||
\(712\) | −1.80891 | + | 1.04438i | −0.0677919 | + | 0.0391397i | ||||
\(713\) | 18.6322 | − | 18.6322i | 0.697781 | − | 0.697781i | ||||
\(714\) | −25.0652 | − | 6.92701i | −0.938041 | − | 0.259237i | ||||
\(715\) | 13.5655 | + | 11.3210i | 0.507320 | + | 0.423382i | ||||
\(716\) | −36.4998 | + | 21.0732i | −1.36406 | + | 0.787542i | ||||
\(717\) | 8.48540 | + | 4.98805i | 0.316893 | + | 0.186282i | ||||
\(718\) | 15.8484 | 0.591456 | ||||||||
\(719\) | 23.6428 | − | 40.9504i | 0.881726 | − | 1.52719i | 0.0323050 | − | 0.999478i | \(-0.489715\pi\) |
0.849421 | − | 0.527716i | \(-0.176951\pi\) | |||||||
\(720\) | 18.9204 | − | 18.3369i | 0.705122 | − | 0.683375i | ||||
\(721\) | −4.45407 | − | 16.6228i | −0.165878 | − | 0.619066i | ||||
\(722\) | −38.6656 | − | 10.3604i | −1.43898 | − | 0.385574i | ||||
\(723\) | −12.2804 | − | 7.21890i | −0.456713 | − | 0.268474i | ||||
\(724\) | −28.4017 | −1.05554 | ||||||||
\(725\) | −2.53175 | + | 4.38512i | −0.0940268 | + | 0.162859i | ||||
\(726\) | 9.34209 | + | 16.4776i | 0.346717 | + | 0.611542i | ||||
\(727\) | 28.6733 | + | 16.5546i | 1.06343 | + | 0.613974i | 0.926380 | − | 0.376589i | \(-0.122903\pi\) |
0.137054 | + | 0.990564i | \(0.456236\pi\) | |||||||
\(728\) | −0.543360 | − | 0.453460i | −0.0201383 | − | 0.0168063i | ||||
\(729\) | 1.26811 | − | 26.9702i | 0.0469671 | − | 0.998896i | ||||
\(730\) | 13.7917 | + | 3.69548i | 0.510455 | + | 0.136776i | ||||
\(731\) | − | 42.4202i | − | 1.56897i | ||||||
\(732\) | −7.34818 | − | 28.3087i | −0.271597 | − | 1.04632i | ||||
\(733\) | 17.1527 | + | 4.59606i | 0.633550 | + | 0.169759i | 0.561280 | − | 0.827626i | \(-0.310309\pi\) |
0.0722698 | + | 0.997385i | \(0.476976\pi\) | |||||||
\(734\) | 27.2713 | + | 27.2713i | 1.00660 | + | 1.00660i | ||||
\(735\) | −1.79108 | − | 3.15912i | −0.0660650 | − | 0.116526i | ||||
\(736\) | −37.7854 | + | 10.1246i | −1.39279 | + | 0.373197i | ||||
\(737\) | −1.28119 | − | 0.739697i | −0.0471934 | − | 0.0272471i | ||||
\(738\) | 27.2812 | + | 49.0092i | 1.00423 | + | 1.80405i | ||||
\(739\) | −2.78124 | + | 10.3797i | −0.102309 | + | 0.381824i | −0.998026 | − | 0.0628013i | \(-0.979997\pi\) |
0.895717 | + | 0.444626i | \(0.146663\pi\) | |||||||
\(740\) | −15.6638 | + | 27.1305i | −0.575813 | + | 0.997337i | ||||
\(741\) | 36.8423 | − | 13.1949i | 1.35343 | − | 0.484726i | ||||
\(742\) | 3.89710 | + | 6.74997i | 0.143067 | + | 0.247799i | ||||
\(743\) | 12.1741 | − | 3.26204i | 0.446624 | − | 0.119672i | −0.0284954 | − | 0.999594i | \(-0.509072\pi\) |
0.475119 | + | 0.879921i | \(0.342405\pi\) | |||||||
\(744\) | 0.453422 | + | 1.74679i | 0.0166232 | + | 0.0640406i | ||||
\(745\) | −38.2582 | + | 22.0884i | −1.40167 | + | 0.809255i | ||||
\(746\) | 2.55638 | + | 2.55638i | 0.0935956 | + | 0.0935956i | ||||
\(747\) | −13.7547 | − | 3.91744i | −0.503258 | − | 0.143332i | ||||
\(748\) | 32.6190 | − | 8.74024i | 1.19267 | − | 0.319575i | ||||
\(749\) | 0.476451 | + | 1.77814i | 0.0174091 | + | 0.0649718i | ||||
\(750\) | −10.7065 | + | 38.7411i | −0.390946 | + | 1.41463i | ||||
\(751\) | −0.401606 | − | 0.231868i | −0.0146548 | − | 0.00846097i | 0.492655 | − | 0.870225i | \(-0.336027\pi\) |
−0.507310 | + | 0.861764i | \(0.669360\pi\) | |||||||
\(752\) | −7.29486 | − | 27.2248i | −0.266016 | − | 0.992787i | ||||
\(753\) | −22.2791 | − | 22.6308i | −0.811895 | − | 0.824711i | ||||
\(754\) | −25.0841 | + | 54.1712i | −0.913509 | + | 1.97280i | ||||
\(755\) | − | 0.437224i | − | 0.0159122i | ||||||
\(756\) | −8.66640 | + | 4.73567i | −0.315194 | + | 0.172235i | ||||
\(757\) | 5.42982 | + | 9.40472i | 0.197350 | + | 0.341820i | 0.947668 | − | 0.319256i | \(-0.103433\pi\) |
−0.750318 | + | 0.661077i | \(0.770100\pi\) | |||||||
\(758\) | −14.7553 | − | 25.5568i | −0.535935 | − | 0.928267i | ||||
\(759\) | 20.0947 | + | 0.157360i | 0.729393 | + | 0.00571180i | ||||
\(760\) | −1.82357 | + | 1.82357i | −0.0661479 | + | 0.0661479i | ||||
\(761\) | 4.22390 | − | 4.22390i | 0.153116 | − | 0.153116i | −0.626392 | − | 0.779508i | \(-0.715469\pi\) |
0.779508 | + | 0.626392i | \(0.215469\pi\) | |||||||
\(762\) | 21.2943 | − | 36.2248i | 0.771412 | − | 1.31229i | ||||
\(763\) | 6.97719 | + | 12.0848i | 0.252591 | + | 0.437501i | ||||
\(764\) | −3.36772 | − | 5.83306i | −0.121840 | − | 0.211033i | ||||
\(765\) | −11.6509 | − | 46.3751i | −0.421240 | − | 1.67670i | ||||
\(766\) | 15.1666i | 0.547991i | ||||||||
\(767\) | −5.88945 | + | 12.7188i | −0.212656 | + | 0.459248i | ||||
\(768\) | 8.06011 | − | 29.1653i | 0.290844 | − | 1.05241i | ||||
\(769\) | −5.27585 | − | 19.6898i | −0.190252 | − | 0.710031i | −0.993445 | − | 0.114312i | \(-0.963534\pi\) |
0.803193 | − | 0.595719i | \(-0.203133\pi\) | |||||||
\(770\) | 8.38172 | + | 4.83919i | 0.302056 | + | 0.174392i | ||||
\(771\) | 23.7222 | + | 24.0966i | 0.854332 | + | 0.867818i | ||||
\(772\) | −13.3591 | − | 49.8570i | −0.480806 | − | 1.79439i | ||||
\(773\) | −20.9362 | + | 5.60983i | −0.753022 | + | 0.201772i | −0.614858 | − | 0.788638i | \(-0.710787\pi\) |
−0.138164 | + | 0.990409i | \(0.544120\pi\) | |||||||
\(774\) | −23.0097 | − | 23.7419i | −0.827066 | − | 0.853387i | ||||
\(775\) | −2.26711 | − | 2.26711i | −0.0814369 | − | 0.0814369i | ||||
\(776\) | −1.80807 | + | 1.04389i | −0.0649059 | + | 0.0374734i | ||||
\(777\) | −9.70341 | + | 9.55261i | −0.348108 | + | 0.342698i | ||||
\(778\) | −20.9135 | + | 5.60375i | −0.749785 | + | 0.200904i | ||||
\(779\) | −29.6615 | − | 51.3752i | −1.06273 | − | 1.84071i | ||||
\(780\) | −4.44765 | + | 24.4853i | −0.159251 | + | 0.876716i | ||||
\(781\) | 0.390274 | − | 0.675974i | 0.0139651 | − | 0.0241882i | ||||
\(782\) | −19.2893 | + | 71.9886i | −0.689783 | + | 2.57431i | ||||
\(783\) | −30.0701 | − | 31.5172i | −1.07462 | − | 1.12633i | ||||
\(784\) | −3.62769 | − | 2.09445i | −0.129560 | − | 0.0748017i | ||||
\(785\) | −13.1469 | + | 3.52271i | −0.469233 | + | 0.125731i | ||||
\(786\) | −5.96101 | + | 10.1406i | −0.212622 | + | 0.361702i | ||||
\(787\) | 36.6618 | + | 36.6618i | 1.30685 | + | 1.30685i | 0.923676 | + | 0.383175i | \(0.125170\pi\) |
0.383175 | + | 0.923676i | \(0.374830\pi\) | |||||||
\(788\) | 3.01990 | + | 0.809180i | 0.107580 | + | 0.0288258i | ||||
\(789\) | −31.3008 | − | 8.65029i | −1.11434 | − | 0.307959i | ||||
\(790\) | − | 13.1461i | − | 0.467716i | ||||||
\(791\) | 14.9681 | + | 4.01068i | 0.532203 | + | 0.142603i | ||||
\(792\) | −0.706739 | + | 1.18100i | −0.0251129 | + | 0.0419650i | ||||
\(793\) | −24.5936 | − | 20.5245i | −0.873345 | − | 0.728848i | ||||
\(794\) | 32.3618 | + | 18.6841i | 1.14848 | + | 0.663073i | ||||
\(795\) | −7.26277 | + | 12.3550i | −0.257584 | + | 0.438188i | ||||
\(796\) | −3.93720 | + | 6.81943i | −0.139550 | + | 0.241708i | ||||
\(797\) | −18.0964 | −0.641007 | −0.320503 | − | 0.947247i | \(-0.603852\pi\) | ||||
−0.320503 | + | 0.947247i | \(0.603852\pi\) | |||||||
\(798\) | 18.6476 | − | 10.5724i | 0.660119 | − | 0.374259i | ||||
\(799\) | −49.4073 | − | 13.2386i | −1.74790 | − | 0.468350i | ||||
\(800\) | 1.23193 | + | 4.59761i | 0.0435552 | + | 0.162550i | ||||
\(801\) | 22.2175 | + | 22.9245i | 0.785017 | + | 0.809999i | ||||
\(802\) | −12.2871 | + | 21.2819i | −0.433872 | + | 0.751489i | ||||
\(803\) | −8.05910 | −0.284400 | ||||||||
\(804\) | 0.0163166 | − | 2.08362i | 0.000575442 | − | 0.0734835i | ||||
\(805\) | −9.01337 | + | 5.20387i | −0.317680 | + | 0.183412i | ||||
\(806\) | −29.0213 | − | 24.2196i | −1.02223 | − | 0.853100i | ||||
\(807\) | 13.0329 | − | 12.8304i | 0.458780 | − | 0.451651i | ||||
\(808\) | −1.31840 | + | 1.31840i | −0.0463811 | + | 0.0463811i | ||||
\(809\) | 20.3832 | − | 11.7682i | 0.716635 | − | 0.413750i | −0.0968777 | − | 0.995296i | \(-0.530886\pi\) |
0.813513 | + | 0.581547i | \(0.197552\pi\) | |||||||
\(810\) | −31.6758 | − | 19.6357i | −1.11297 | − | 0.689929i | ||||
\(811\) | 0.162054 | − | 0.162054i | 0.00569047 | − | 0.00569047i | −0.704256 | − | 0.709946i | \(-0.748719\pi\) |
0.709946 | + | 0.704256i | \(0.248719\pi\) | |||||||
\(812\) | −4.12387 | + | 15.3905i | −0.144719 | + | 0.540100i | ||||
\(813\) | −8.34535 | − | 4.90572i | −0.292684 | − | 0.172051i | ||||
\(814\) | 9.39235 | − | 35.0527i | 0.329202 | − | 1.22860i | ||||
\(815\) | 10.2109i | 0.357671i | ||||||||
\(816\) | −38.6939 | − | 39.3047i | −1.35456 | − | 1.37594i | ||||
\(817\) | 24.7259 | + | 24.7259i | 0.865050 | + | 0.865050i | ||||
\(818\) | 11.7807 | 0.411902 | ||||||||
\(819\) | −4.69821 | + | 9.74304i | −0.164169 | + | 0.340449i | ||||
\(820\) | 37.7247 | 1.31740 | ||||||||
\(821\) | 3.91609 | + | 3.91609i | 0.136673 | + | 0.136673i | 0.772133 | − | 0.635461i | \(-0.219190\pi\) |
−0.635461 | + | 0.772133i | \(0.719190\pi\) | |||||||
\(822\) | −63.2906 | + | 16.4286i | −2.20751 | + | 0.573012i | ||||
\(823\) | − | 25.4118i | − | 0.885800i | −0.896571 | − | 0.442900i | \(-0.853950\pi\) | ||
0.896571 | − | 0.442900i | \(-0.146050\pi\) | |||||||
\(824\) | 0.874272 | − | 3.26283i | 0.0304567 | − | 0.113666i | ||||
\(825\) | 0.0191471 | − | 2.44507i | 0.000666615 | − | 0.0851263i | ||||
\(826\) | −1.98710 | + | 7.41596i | −0.0691401 | + | 0.258034i | ||||
\(827\) | −24.4978 | + | 24.4978i | −0.851873 | + | 0.851873i | −0.990364 | − | 0.138491i | \(-0.955775\pi\) |
0.138491 | + | 0.990364i | \(0.455775\pi\) | |||||||
\(828\) | 13.7662 | + | 24.7303i | 0.478410 | + | 0.859439i | ||||
\(829\) | 2.49860 | − | 1.44257i | 0.0867799 | − | 0.0501024i | −0.455982 | − | 0.889989i | \(-0.650712\pi\) |
0.542762 | + | 0.839887i | \(0.317379\pi\) | |||||||
\(830\) | −13.9587 | + | 13.9587i | −0.484515 | + | 0.484515i | ||||
\(831\) | −10.1962 | − | 39.2807i | −0.353703 | − | 1.36263i | ||||
\(832\) | 8.92690 | + | 24.3236i | 0.309485 | + | 0.843270i | ||||
\(833\) | −6.58349 | + | 3.80098i | −0.228104 | + | 0.131696i | ||||
\(834\) | −38.9028 | + | 22.0562i | −1.34709 | + | 0.763743i | ||||
\(835\) | 19.2444 | 0.665979 | ||||||||
\(836\) | −13.9185 | + | 24.1075i | −0.481380 | + | 0.833775i | ||||
\(837\) | 24.2045 | − | 13.2263i | 0.836629 | − | 0.457168i | ||||
\(838\) | −16.5126 | − | 61.6260i | −0.570420 | − | 2.12884i | ||||
\(839\) | 48.2990 | + | 12.9417i | 1.66747 | + | 0.446796i | 0.964426 | − | 0.264353i | \(-0.0851585\pi\) |
0.703041 | + | 0.711150i | \(0.251825\pi\) | |||||||
\(840\) | 0.00558183 | − | 0.712796i | 0.000192592 | − | 0.0245938i | ||||
\(841\) | −41.2796 | −1.42343 | ||||||||
\(842\) | 2.82122 | − | 4.88650i | 0.0972257 | − | 0.168400i | ||||
\(843\) | −13.0246 | − | 0.101994i | −0.448591 | − | 0.00351287i | ||||
\(844\) | 19.4623 | + | 11.2366i | 0.669921 | + | 0.386779i | ||||
\(845\) | 11.6513 | + | 24.6409i | 0.400816 | + | 0.847672i | ||||
\(846\) | −34.8334 | + | 19.3902i | −1.19760 | + | 0.666648i | ||||
\(847\) | 5.34853 | + | 1.43314i | 0.183778 | + | 0.0492431i | ||||
\(848\) | 16.5312i | 0.567684i | ||||||||
\(849\) | −30.9703 | + | 30.4890i | −1.06290 | + | 1.04638i | ||||
\(850\) | 8.75935 | + | 2.34706i | 0.300443 | + | 0.0805035i | ||||
\(851\) | 27.5941 | + | 27.5941i | 0.945915 | + | 0.945915i | ||||
\(852\) | 1.09934 | + | 0.00860885i | 0.0376629 | + | 0.000294934i | ||||
\(853\) | −43.1199 | + | 11.5539i | −1.47640 | + | 0.395600i | −0.905120 | − | 0.425157i | \(-0.860219\pi\) |
−0.571278 | + | 0.820757i | \(0.693552\pi\) | |||||||
\(854\) | −15.1957 | − | 8.77325i | −0.519986 | − | 0.300214i | ||||
\(855\) | 33.8223 | + | 20.2401i | 1.15670 | + | 0.692196i | ||||
\(856\) | −0.0935206 | + | 0.349024i | −0.00319647 | + | 0.0119294i | ||||
\(857\) | 10.2948 | − | 17.8311i | 0.351663 | − | 0.609098i | −0.634878 | − | 0.772612i | \(-0.718950\pi\) |
0.986541 | + | 0.163514i | \(0.0522829\pi\) | |||||||
\(858\) | −2.36445 | − | 28.7303i | −0.0807210 | − | 0.980837i | ||||
\(859\) | −6.81327 | − | 11.8009i | −0.232466 | − | 0.402643i | 0.726067 | − | 0.687624i | \(-0.241346\pi\) |
−0.958533 | + | 0.284981i | \(0.908013\pi\) | |||||||
\(860\) | −21.4790 | + | 5.75528i | −0.732428 | + | 0.196253i | ||||
\(861\) | 15.8045 | + | 4.36774i | 0.538617 | + | 0.148852i | ||||
\(862\) | 33.8675 | − | 19.5534i | 1.15353 | − | 0.665991i | ||||
\(863\) | 0.0917037 | + | 0.0917037i | 0.00312163 | + | 0.00312163i | 0.708666 | − | 0.705544i | \(-0.249297\pi\) |
−0.705544 | + | 0.708666i | \(0.749297\pi\) | |||||||
\(864\) | −40.9369 | − | 0.961875i | −1.39270 | − | 0.0327237i | ||||
\(865\) | −40.4300 | + | 10.8332i | −1.37466 | + | 0.368339i | ||||
\(866\) | 3.96005 | + | 14.7791i | 0.134568 | + | 0.502215i | ||||
\(867\) | −68.3838 | + | 17.7506i | −2.32243 | + | 0.602843i | ||||
\(868\) | −8.73727 | − | 5.04447i | −0.296562 | − | 0.171220i | ||||
\(869\) | 1.92045 | + | 7.16723i | 0.0651469 | + | 0.243132i | ||||
\(870\) | −58.1984 | + | 15.1068i | −1.97311 | + | 0.512168i | ||||
\(871\) | −1.31400 | − | 1.86593i | −0.0445232 | − | 0.0632248i | ||||
\(872\) | 2.73905i | 0.0927558i | ||||||||
\(873\) | 22.2071 | + | 22.9138i | 0.751597 | + | 0.775516i | ||||
\(874\) | −30.7174 | − | 53.2041i | −1.03903 | − | 1.79966i | ||||
\(875\) | 5.87485 | + | 10.1755i | 0.198606 | + | 0.343996i | ||||
\(876\) | −5.59835 | − | 9.87439i | −0.189151 | − | 0.333625i | ||||
\(877\) | −7.70656 | + | 7.70656i | −0.260232 | + | 0.260232i | −0.825148 | − | 0.564916i | \(-0.808908\pi\) |
0.564916 | + | 0.825148i | \(0.308908\pi\) | |||||||
\(878\) | −43.4563 | + | 43.4563i | −1.46658 | + | 1.46658i | ||||
\(879\) | −8.63827 | − | 15.2362i | −0.291362 | − | 0.513905i | ||||
\(880\) | 10.2637 | + | 17.7773i | 0.345990 | + | 0.599273i | ||||
\(881\) | −7.92804 | − | 13.7318i | −0.267102 | − | 0.462635i | 0.701010 | − | 0.713152i | \(-0.252733\pi\) |
−0.968112 | + | 0.250517i | \(0.919400\pi\) | |||||||
\(882\) | −1.62294 | + | 5.69839i | −0.0546473 | + | 0.191875i | ||||
\(883\) | 1.94614i | 0.0654929i | 0.999464 | + | 0.0327465i | \(0.0104254\pi\) | ||||
−0.999464 | + | 0.0327465i | \(0.989575\pi\) | |||||||
\(884\) | 51.3270 | + | 8.90871i | 1.72632 | + | 0.299632i | ||||
\(885\) | −13.6643 | + | 3.54689i | −0.459320 | + | 0.119227i | ||||
\(886\) | −15.8140 | − | 59.0187i | −0.531282 | − | 1.98277i | ||||
\(887\) | −35.6379 | − | 20.5755i | −1.19660 | − | 0.690859i | −0.236807 | − | 0.971557i | \(-0.576101\pi\) |
−0.959796 | + | 0.280698i | \(0.909434\pi\) | |||||||
\(888\) | −2.58699 | + | 0.671514i | −0.0868137 | + | 0.0225345i | ||||
\(889\) | −3.17926 | − | 11.8651i | −0.106629 | − | 0.397944i | ||||
\(890\) | 42.5635 | − | 11.4049i | 1.42673 | − | 0.382292i | ||||
\(891\) | 20.1381 | + | 6.07801i | 0.674652 | + | 0.203621i | ||||
\(892\) | 4.23662 | + | 4.23662i | 0.141852 | + | 0.141852i | ||||
\(893\) | 36.5151 | − | 21.0820i | 1.22193 | − | 0.705482i | ||||
\(894\) | 69.4720 | + | 19.1993i | 2.32349 | + | 0.642120i | ||||
\(895\) | −44.9096 | + | 12.0335i | −1.50116 | + | 0.402235i | ||||
\(896\) | −0.784174 | − | 1.35823i | −0.0261974 | − | 0.0453753i | ||||
\(897\) | 28.0275 | + | 13.2457i | 0.935812 | + | 0.442262i | ||||
\(898\) | 1.56686 | − | 2.71389i | 0.0522869 | − | 0.0905635i | ||||
\(899\) | 11.5176 | − | 42.9843i | 0.384133 | − | 1.43361i | ||||
\(900\) | 3.00911 | − | 1.67503i | 0.100304 | − | 0.0558344i | ||||
\(901\) | 25.9813 | + | 15.0003i | 0.865563 | + | 0.499733i | ||||
\(902\) | −42.2105 | + | 11.3103i | −1.40546 | + | 0.376591i | ||||
\(903\) | −9.66484 | − | 0.0756844i | −0.321626 | − | 0.00251862i | ||||
\(904\) | 2.15078 | + | 2.15078i | 0.0715338 | + | 0.0715338i | ||||
\(905\) | −30.2638 | − | 8.10917i | −1.00600 | − | 0.269558i | ||||
\(906\) | −0.508348 | + | 0.500449i | −0.0168887 | + | 0.0166263i | ||||
\(907\) | 21.9969i | 0.730396i | 0.930930 | + | 0.365198i | \(0.118999\pi\) | ||||
−0.930930 | + | 0.365198i | \(0.881001\pi\) | |||||||
\(908\) | −8.16125 | − | 2.18680i | −0.270841 | − | 0.0725715i | ||||
\(909\) | 24.4527 | + | 14.6331i | 0.811044 | + | 0.485348i | ||||
\(910\) | 8.59635 | + | 12.2072i | 0.284966 | + | 0.404664i | ||||
\(911\) | 37.1496 | + | 21.4483i | 1.23082 | + | 0.710615i | 0.967201 | − | 0.254012i | \(-0.0817502\pi\) |
0.263620 | + | 0.964627i | \(0.415084\pi\) | |||||||
\(912\) | 45.4639 | + | 0.356023i | 1.50546 | + | 0.0117891i | ||||
\(913\) | 5.57113 | − | 9.64948i | 0.184378 | − | 0.319351i | ||||
\(914\) | −12.6778 | −0.419343 | ||||||||
\(915\) | 0.252646 | − | 32.2626i | 0.00835220 | − | 1.06657i | ||||
\(916\) | −38.7049 | − | 10.3709i | −1.27885 | − | 0.342665i | ||||
\(917\) | 0.889982 | + | 3.32146i | 0.0293898 | + | 0.109684i | ||||
\(918\) | −40.5834 | + | 66.6274i | −1.33945 | + | 2.19903i | ||||
\(919\) | −24.0629 | + | 41.6781i | −0.793760 | + | 1.37483i | 0.129863 | + | 0.991532i | \(0.458546\pi\) |
−0.923623 | + | 0.383301i | \(0.874787\pi\) | |||||||
\(920\) | −2.04289 | −0.0673522 | ||||||||
\(921\) | 9.74348 | − | 5.52412i | 0.321058 | − | 0.182026i | ||||
\(922\) | −23.2984 | + | 13.4513i | −0.767292 | + | 0.442996i | ||||
\(923\) | 0.984491 | − | 0.693283i | 0.0324049 | − | 0.0228197i | ||||
\(924\) | −1.93314 | − | 7.44737i | −0.0635956 | − | 0.245000i | ||||
\(925\) | 3.35757 | − | 3.35757i | 0.110396 | − | 0.110396i | ||||
\(926\) | 27.7416 | − | 16.0166i | 0.911646 | − | 0.526339i | ||||
\(927\) | −51.6213 | − | 0.808532i | −1.69547 | − | 0.0265557i | ||||
\(928\) | −46.7146 | + | 46.7146i | −1.53348 | + | 1.53348i | ||||
\(929\) | −0.134911 | + | 0.503496i | −0.00442630 | + | 0.0165192i | −0.968104 | − | 0.250550i | \(-0.919389\pi\) |
0.963677 | + | 0.267069i | \(0.0860552\pi\) | |||||||
\(930\) | 0.298130 | − | 38.0710i | 0.00977606 | − | 1.24840i | ||||
\(931\) | 1.62187 | − | 6.05291i | 0.0531547 | − | 0.198376i | ||||
\(932\) | − | 33.4010i | − | 1.09409i | ||||||
\(933\) | 28.9634 | − | 7.51814i | 0.948219 | − | 0.246133i | ||||
\(934\) | −14.8000 | − | 14.8000i | −0.484270 | − | 0.484270i | ||||
\(935\) | 37.2530 | 1.21830 | ||||||||
\(936\) | −1.75485 | + | 1.19511i | −0.0573592 | + | 0.0390634i | ||||
\(937\) | −3.41752 | −0.111645 | −0.0558227 | − | 0.998441i | \(-0.517778\pi\) | ||||
−0.0558227 | + | 0.998441i | \(0.517778\pi\) | |||||||
\(938\) | −0.883951 | − | 0.883951i | −0.0288620 | − | 0.0288620i | ||||
\(939\) | −35.9505 | − | 36.5180i | −1.17320 | − | 1.19172i | ||||
\(940\) | 26.8130i | 0.874542i | ||||||||
\(941\) | 10.3731 | − | 38.7131i | 0.338155 | − | 1.26201i | −0.562254 | − | 0.826965i | \(-0.690066\pi\) |
0.900408 | − | 0.435045i | \(-0.143268\pi\) | |||||||
\(942\) | 19.1438 | + | 11.2535i | 0.623738 | + | 0.366657i | ||||
\(943\) | 12.1626 | − | 45.3915i | 0.396069 | − | 1.47815i | ||||
\(944\) | −11.5144 | + | 11.5144i | −0.374762 | + | 0.374762i | ||||
\(945\) | −10.5867 | + | 2.57175i | −0.344385 | + | 0.0836592i | ||||
\(946\) | 22.3075 | − | 12.8793i | 0.725281 | − | 0.418741i | ||||
\(947\) | −1.12889 | + | 1.12889i | −0.0366840 | + | 0.0366840i | −0.725211 | − | 0.688527i | \(-0.758258\pi\) |
0.688527 | + | 0.725211i | \(0.258258\pi\) | |||||||
\(948\) | −7.44757 | + | 7.33183i | −0.241886 | + | 0.238127i | ||||
\(949\) | −11.2815 | − | 5.22393i | −0.366213 | − | 0.169576i | ||||
\(950\) | −6.47371 | + | 3.73760i | −0.210035 | + | 0.121264i | ||||
\(951\) | 0.205897 | − | 26.2929i | 0.00667667 | − | 0.852606i | ||||
\(952\) | −1.49216 | −0.0483611 | ||||||||
\(953\) | −0.515068 | + | 0.892125i | −0.0166847 | + | 0.0288988i | −0.874247 | − | 0.485481i | \(-0.838644\pi\) |
0.857563 | + | 0.514380i | \(0.171978\pi\) | |||||||
\(954\) | 22.6779 | − | 5.69741i | 0.734223 | − | 0.184460i | ||||
\(955\) | −1.92308 | − | 7.17702i | −0.0622293 | − | 0.232243i | ||||
\(956\) | −10.4328 | − | 2.79546i | −0.337420 | − | 0.0904115i | ||||
\(957\) | 29.5229 | − | 16.7382i | 0.954339 | − | 0.541069i | ||||
\(958\) | −40.9006 | −1.32144 | ||||||||
\(959\) | −9.55743 | + | 16.5540i | −0.308625 | + | 0.534555i | ||||
\(960\) | −13.2249 | + | 22.4975i | −0.426832 | + | 0.726105i | ||||
\(961\) | −2.44437 | − | 1.41126i | −0.0788506 | − | 0.0455244i | ||||
\(962\) | 35.8691 | − | 42.9803i | 1.15647 | − | 1.38574i | ||||
\(963\) | 5.52192 | + | 0.0864884i | 0.177941 | + | 0.00278705i | ||||
\(964\) | 15.0987 | + | 4.04570i | 0.486298 | + | 0.130303i | ||||
\(965\) | − | 56.9399i | − | 1.83296i | ||||||
\(966\) | 16.3672 | + | 4.52323i | 0.526604 | + | 0.145532i | ||||
\(967\) | −8.21093 | − | 2.20011i | −0.264046 | − | 0.0707508i | 0.124367 | − | 0.992236i | \(-0.460310\pi\) |
−0.388413 | + | 0.921485i | \(0.626977\pi\) | |||||||
\(968\) | 0.768537 | + | 0.768537i | 0.0247017 | + | 0.0247017i | ||||
\(969\) | 41.8133 | − | 71.1305i | 1.34324 | − | 2.28504i | ||||
\(970\) | 42.5436 | − | 11.3995i | 1.36599 | − | 0.366017i | ||||
\(971\) | −15.5968 | − | 9.00480i | −0.500524 | − | 0.288978i | 0.228406 | − | 0.973566i | \(-0.426649\pi\) |
−0.728930 | + | 0.684588i | \(0.759982\pi\) | |||||||
\(972\) | 6.54210 | + | 28.8963i | 0.209838 | + | 0.926851i | ||||
\(973\) | −3.38356 | + | 12.6276i | −0.108472 | + | 0.404822i | ||||
\(974\) | −1.12865 | + | 1.95487i | −0.0361642 | + | 0.0626382i | ||||
\(975\) | 1.61170 | − | 3.41031i | 0.0516157 | − | 0.109217i | ||||
\(976\) | −18.6077 | − | 32.2295i | −0.595619 | − | 1.03164i | ||||
\(977\) | −3.93168 | + | 1.05349i | −0.125786 | + | 0.0337042i | −0.321163 | − | 0.947024i | \(-0.604074\pi\) |
0.195377 | + | 0.980728i | \(0.437407\pi\) | |||||||
\(978\) | 11.8719 | − | 11.6874i | 0.379621 | − | 0.373722i | ||||
\(979\) | −21.5395 | + | 12.4358i | −0.688406 | + | 0.397451i | ||||
\(980\) | 2.81779 | + | 2.81779i | 0.0900109 | + | 0.0900109i | ||||
\(981\) | 40.6014 | − | 10.2004i | 1.29630 | − | 0.325673i | ||||
\(982\) | 35.8894 | − | 9.61653i | 1.14528 | − | 0.306876i | ||||
\(983\) | 12.0044 | + | 44.8010i | 0.382880 | + | 1.42893i | 0.841481 | + | 0.540286i | \(0.181684\pi\) |
−0.458601 | + | 0.888642i | \(0.651649\pi\) | |||||||
\(984\) | 2.25793 | + | 2.29357i | 0.0719801 | + | 0.0731163i | ||||
\(985\) | 2.98686 | + | 1.72446i | 0.0951692 | + | 0.0549459i | ||||
\(986\) | 32.5764 | + | 121.577i | 1.03744 | + | 3.87179i | ||||
\(987\) | −3.10439 | + | 11.2331i | −0.0988137 | + | 0.357554i | ||||
\(988\) | −35.1103 | + | 24.7248i | −1.11701 | + | 0.786601i | ||||
\(989\) | 27.6997i | 0.880799i | ||||||||
\(990\) | 20.8500 | − | 20.2069i | 0.662655 | − | 0.642217i | ||||
\(991\) | 5.32440 | + | 9.22212i | 0.169135 | + | 0.292950i | 0.938116 | − | 0.346321i | \(-0.112569\pi\) |
−0.768981 | + | 0.639272i | \(0.779236\pi\) | |||||||
\(992\) | −20.9158 | − | 36.2272i | −0.664076 | − | 1.15021i | ||||
\(993\) | −7.15711 | + | 12.1753i | −0.227124 | + | 0.386371i | ||||
\(994\) | 0.466384 | − | 0.466384i | 0.0147928 | − | 0.0147928i | ||||
\(995\) | −6.14239 | + | 6.14239i | −0.194727 | + | 0.194727i | ||||
\(996\) | 15.6931 | + | 0.122891i | 0.497253 | + | 0.00389394i | ||||
\(997\) | 24.9856 | + | 43.2763i | 0.791301 | + | 1.37057i | 0.925162 | + | 0.379573i | \(0.123929\pi\) |
−0.133861 | + | 0.991000i | \(0.542738\pi\) | |||||||
\(998\) | 17.4009 | + | 30.1392i | 0.550815 | + | 0.954039i | ||||
\(999\) | 19.5881 | + | 35.8467i | 0.619740 | + | 1.13414i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 819.2.ew.a.470.70 | yes | 336 | |
9.5 | odd | 6 | 819.2.fy.a.743.70 | yes | 336 | ||
13.7 | odd | 12 | 819.2.fy.a.722.70 | yes | 336 | ||
117.59 | even | 12 | inner | 819.2.ew.a.176.70 | ✓ | 336 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
819.2.ew.a.176.70 | ✓ | 336 | 117.59 | even | 12 | inner | |
819.2.ew.a.470.70 | yes | 336 | 1.1 | even | 1 | trivial | |
819.2.fy.a.722.70 | yes | 336 | 13.7 | odd | 12 | ||
819.2.fy.a.743.70 | yes | 336 | 9.5 | odd | 6 |