Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [41,2,Mod(2,41)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(41, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("41.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 41 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 41.g (of order \(20\), degree \(8\), 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: | \(0.327386648287\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 5.3 | ||
Character | \(\chi\) | \(=\) | 41.5 |
Dual form | 41.2.g.a.33.3 |
$q$-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 \(\left(\mathbb{Z}/41\mathbb{Z}\right)^\times\).
\(n\) | \(6\) |
\(\chi(n)\) | \(e\left(\frac{11}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.42655 | + | 1.96347i | 1.00872 | + | 1.38838i | 0.919818 | + | 0.392344i | \(0.128336\pi\) |
0.0889021 | + | 0.996040i | \(0.471664\pi\) | |||||||
\(3\) | −2.02366 | − | 2.02366i | −1.16836 | − | 1.16836i | −0.982594 | − | 0.185767i | \(-0.940523\pi\) |
−0.185767 | − | 0.982594i | \(-0.559477\pi\) | |||||||
\(4\) | −1.20216 | + | 3.69986i | −0.601078 | + | 1.84993i | ||||
\(5\) | 0.110420 | + | 0.0358775i | 0.0493811 | + | 0.0160449i | 0.333603 | − | 0.942714i | \(-0.391735\pi\) |
−0.284222 | + | 0.958758i | \(0.591735\pi\) | |||||||
\(6\) | 1.08656 | − | 6.86025i | 0.443585 | − | 2.80068i | ||||
\(7\) | −0.422339 | − | 2.66654i | −0.159629 | − | 1.00786i | −0.929275 | − | 0.369388i | \(-0.879567\pi\) |
0.769646 | − | 0.638471i | \(-0.220433\pi\) | |||||||
\(8\) | −4.36309 | + | 1.41766i | −1.54259 | + | 0.501217i | ||||
\(9\) | 5.19040i | 1.73013i | ||||||||
\(10\) | 0.0870742 | + | 0.267987i | 0.0275353 | + | 0.0847449i | ||||
\(11\) | −1.53663 | + | 3.01580i | −0.463311 | + | 0.909299i | 0.534626 | + | 0.845089i | \(0.320453\pi\) |
−0.997936 | + | 0.0642096i | \(0.979547\pi\) | |||||||
\(12\) | 9.92000 | − | 5.05449i | 2.86366 | − | 1.45911i | ||||
\(13\) | −1.03889 | − | 0.164544i | −0.288136 | − | 0.0456362i | 0.0106934 | − | 0.999943i | \(-0.496596\pi\) |
−0.298829 | + | 0.954307i | \(0.596596\pi\) | |||||||
\(14\) | 4.63320 | − | 4.63320i | 1.23827 | − | 1.23827i | ||||
\(15\) | −0.150848 | − | 0.296056i | −0.0389488 | − | 0.0764412i | ||||
\(16\) | −2.71311 | − | 1.97119i | −0.678278 | − | 0.492798i | ||||
\(17\) | 3.25831 | + | 1.66019i | 0.790256 | + | 0.402655i | 0.802036 | − | 0.597275i | \(-0.203750\pi\) |
−0.0117807 | + | 0.999931i | \(0.503750\pi\) | |||||||
\(18\) | −10.1912 | + | 7.40435i | −2.40209 | + | 1.74522i | ||||
\(19\) | −2.25168 | + | 0.356630i | −0.516570 | + | 0.0818166i | −0.409276 | − | 0.912411i | \(-0.634219\pi\) |
−0.107294 | + | 0.994227i | \(0.534219\pi\) | |||||||
\(20\) | −0.265483 | + | 0.365406i | −0.0593638 | + | 0.0817073i | ||||
\(21\) | −4.54151 | + | 6.25085i | −0.991038 | + | 1.36405i | ||||
\(22\) | −8.11352 | + | 1.28505i | −1.72981 | + | 0.273975i | ||||
\(23\) | 6.06568 | − | 4.40698i | 1.26478 | − | 0.918918i | 0.265800 | − | 0.964028i | \(-0.414364\pi\) |
0.998982 | + | 0.0451098i | \(0.0143638\pi\) | |||||||
\(24\) | 11.6983 | + | 5.96057i | 2.38790 | + | 1.21670i | ||||
\(25\) | −4.03418 | − | 2.93100i | −0.806836 | − | 0.586201i | ||||
\(26\) | −1.15895 | − | 2.27456i | −0.227288 | − | 0.446078i | ||||
\(27\) | 4.43263 | − | 4.43263i | 0.853060 | − | 0.853060i | ||||
\(28\) | 10.3735 | + | 1.64301i | 1.96042 | + | 0.310499i | ||||
\(29\) | 1.31408 | − | 0.669558i | 0.244019 | − | 0.124334i | −0.327705 | − | 0.944780i | \(-0.606275\pi\) |
0.571723 | + | 0.820446i | \(0.306275\pi\) | |||||||
\(30\) | 0.366106 | − | 0.718523i | 0.0668414 | − | 0.131184i | ||||
\(31\) | −0.964816 | − | 2.96940i | −0.173286 | − | 0.533320i | 0.826265 | − | 0.563282i | \(-0.190461\pi\) |
−0.999551 | + | 0.0299620i | \(0.990461\pi\) | |||||||
\(32\) | 1.03614i | 0.183165i | ||||||||
\(33\) | 9.21257 | − | 2.99335i | 1.60370 | − | 0.521075i | ||||
\(34\) | 1.38839 | + | 8.76594i | 0.238107 | + | 1.50335i | ||||
\(35\) | 0.0490344 | − | 0.309591i | 0.00828833 | − | 0.0523305i | ||||
\(36\) | −19.2037 | − | 6.23967i | −3.20062 | − | 1.03995i | ||||
\(37\) | −0.348766 | + | 1.07339i | −0.0573368 | + | 0.176465i | −0.975623 | − | 0.219452i | \(-0.929573\pi\) |
0.918286 | + | 0.395917i | \(0.129573\pi\) | |||||||
\(38\) | −3.91235 | − | 3.91235i | −0.634668 | − | 0.634668i | ||||
\(39\) | 1.76938 | + | 2.43534i | 0.283327 | + | 0.389966i | ||||
\(40\) | −0.532633 | −0.0842167 | ||||||||
\(41\) | −1.32339 | − | 6.26487i | −0.206678 | − | 0.978409i | ||||
\(42\) | −18.7520 | −2.89350 | ||||||||
\(43\) | 0.583672 | + | 0.803355i | 0.0890091 | + | 0.122511i | 0.851199 | − | 0.524843i | \(-0.175876\pi\) |
−0.762190 | + | 0.647353i | \(0.775876\pi\) | |||||||
\(44\) | −9.31076 | − | 9.31076i | −1.40365 | − | 1.40365i | ||||
\(45\) | −0.186219 | + | 0.573122i | −0.0277598 | + | 0.0854360i | ||||
\(46\) | 17.3060 | + | 5.62305i | 2.55162 | + | 0.829073i | ||||
\(47\) | −1.73020 | + | 10.9241i | −0.252376 | + | 1.59344i | 0.457563 | + | 0.889177i | \(0.348722\pi\) |
−0.709939 | + | 0.704263i | \(0.751278\pi\) | |||||||
\(48\) | 1.50140 | + | 9.47944i | 0.216708 | + | 1.36824i | ||||
\(49\) | −0.274693 | + | 0.0892531i | −0.0392418 | + | 0.0127504i | ||||
\(50\) | − | 12.1022i | − | 1.71151i | ||||||
\(51\) | −3.23405 | − | 9.95337i | −0.452857 | − | 1.39375i | ||||
\(52\) | 1.85769 | − | 3.64593i | 0.257616 | − | 0.505599i | ||||
\(53\) | 0.482987 | − | 0.246094i | 0.0663434 | − | 0.0338036i | −0.420504 | − | 0.907291i | \(-0.638147\pi\) |
0.486847 | + | 0.873487i | \(0.338147\pi\) | |||||||
\(54\) | 15.0267 | + | 2.37999i | 2.04487 | + | 0.323876i | ||||
\(55\) | −0.277873 | + | 0.277873i | −0.0374684 | + | 0.0374684i | ||||
\(56\) | 5.62295 | + | 11.0357i | 0.751398 | + | 1.47470i | ||||
\(57\) | 5.27833 | + | 3.83493i | 0.699131 | + | 0.507949i | ||||
\(58\) | 3.18926 | + | 1.62501i | 0.418770 | + | 0.213374i | ||||
\(59\) | −1.57246 | + | 1.14246i | −0.204717 | + | 0.148735i | −0.685420 | − | 0.728148i | \(-0.740381\pi\) |
0.480703 | + | 0.876883i | \(0.340381\pi\) | |||||||
\(60\) | 1.27671 | − | 0.202210i | 0.164822 | − | 0.0261052i | ||||
\(61\) | −5.95937 | + | 8.20238i | −0.763020 | + | 1.05021i | 0.233937 | + | 0.972252i | \(0.424839\pi\) |
−0.996957 | + | 0.0779548i | \(0.975161\pi\) | |||||||
\(62\) | 4.45398 | − | 6.13037i | 0.565656 | − | 0.778558i | ||||
\(63\) | 13.8404 | − | 2.19211i | 1.74373 | − | 0.276180i | ||||
\(64\) | −7.46066 | + | 5.42048i | −0.932582 | + | 0.677561i | ||||
\(65\) | −0.108810 | − | 0.0554416i | −0.0134962 | − | 0.00687668i | ||||
\(66\) | 19.0195 | + | 13.8185i | 2.34114 | + | 1.70094i | ||||
\(67\) | −6.02949 | − | 11.8335i | −0.736619 | − | 1.44570i | −0.889254 | − | 0.457414i | \(-0.848776\pi\) |
0.152635 | − | 0.988283i | \(-0.451224\pi\) | |||||||
\(68\) | −10.0595 | + | 10.0595i | −1.21989 | + | 1.21989i | ||||
\(69\) | −21.1931 | − | 3.35666i | −2.55135 | − | 0.404094i | ||||
\(70\) | 0.677824 | − | 0.345368i | 0.0810154 | − | 0.0412794i | ||||
\(71\) | −4.28484 | + | 8.40947i | −0.508517 | + | 0.998021i | 0.483902 | + | 0.875122i | \(0.339219\pi\) |
−0.992419 | + | 0.122899i | \(0.960781\pi\) | |||||||
\(72\) | −7.35820 | − | 22.6462i | −0.867172 | − | 2.66888i | ||||
\(73\) | − | 10.9108i | − | 1.27702i | −0.769615 | − | 0.638508i | \(-0.779552\pi\) | ||
0.769615 | − | 0.638508i | \(-0.220448\pi\) | |||||||
\(74\) | −2.60511 | + | 0.846450i | −0.302837 | + | 0.0983978i | ||||
\(75\) | 2.23245 | + | 14.0952i | 0.257782 | + | 1.62757i | ||||
\(76\) | 1.38738 | − | 8.75960i | 0.159144 | − | 1.00480i | ||||
\(77\) | 8.69075 | + | 2.82380i | 0.990403 | + | 0.321801i | ||||
\(78\) | −2.25762 | + | 6.94824i | −0.255625 | + | 0.786734i | ||||
\(79\) | 7.58864 | + | 7.58864i | 0.853789 | + | 0.853789i | 0.990597 | − | 0.136809i | \(-0.0436846\pi\) |
−0.136809 | + | 0.990597i | \(0.543685\pi\) | |||||||
\(80\) | −0.228859 | − | 0.314998i | −0.0255873 | − | 0.0352178i | ||||
\(81\) | −2.36906 | −0.263229 | ||||||||
\(82\) | 10.4130 | − | 11.5356i | 1.14993 | − | 1.27389i | ||||
\(83\) | −0.635212 | −0.0697236 | −0.0348618 | − | 0.999392i | \(-0.511099\pi\) | ||||
−0.0348618 | + | 0.999392i | \(0.511099\pi\) | |||||||
\(84\) | −17.6676 | − | 24.3174i | −1.92770 | − | 2.65325i | ||||
\(85\) | 0.300218 | + | 0.300218i | 0.0325632 | + | 0.0325632i | ||||
\(86\) | −0.744731 | + | 2.29205i | −0.0803064 | + | 0.247158i | ||||
\(87\) | −4.01421 | − | 1.30430i | −0.430369 | − | 0.139835i | ||||
\(88\) | 2.42908 | − | 15.3366i | 0.258941 | − | 1.63489i | ||||
\(89\) | 0.753161 | + | 4.75527i | 0.0798350 | + | 0.504058i | 0.994909 | + | 0.100773i | \(0.0321316\pi\) |
−0.915074 | + | 0.403285i | \(0.867868\pi\) | |||||||
\(90\) | −1.39096 | + | 0.451950i | −0.146620 | + | 0.0476397i | ||||
\(91\) | 2.83974i | 0.297685i | ||||||||
\(92\) | 9.01328 | + | 27.7400i | 0.939699 | + | 2.89210i | ||||
\(93\) | −4.05659 | + | 7.96151i | −0.420649 | + | 0.825570i | ||||
\(94\) | −23.9173 | + | 12.1865i | −2.46689 | + | 1.25694i | ||||
\(95\) | −0.261424 | − | 0.0414055i | −0.0268216 | − | 0.00424812i | ||||
\(96\) | 2.09680 | − | 2.09680i | 0.214003 | − | 0.214003i | ||||
\(97\) | −1.25412 | − | 2.46135i | −0.127337 | − | 0.249913i | 0.818533 | − | 0.574460i | \(-0.194788\pi\) |
−0.945869 | + | 0.324548i | \(0.894788\pi\) | |||||||
\(98\) | −0.567108 | − | 0.412028i | −0.0572866 | − | 0.0416211i | ||||
\(99\) | −15.6532 | − | 7.97572i | −1.57321 | − | 0.801590i | ||||
\(100\) | 15.6940 | − | 11.4024i | 1.56940 | − | 1.14024i | ||||
\(101\) | 9.34392 | − | 1.47993i | 0.929755 | − | 0.147259i | 0.326854 | − | 0.945075i | \(-0.394012\pi\) |
0.602901 | + | 0.797816i | \(0.294012\pi\) | |||||||
\(102\) | 14.9296 | − | 20.5489i | 1.47826 | − | 2.03464i | ||||
\(103\) | 3.69313 | − | 5.08316i | 0.363895 | − | 0.500858i | −0.587334 | − | 0.809345i | \(-0.699822\pi\) |
0.951229 | + | 0.308486i | \(0.0998225\pi\) | |||||||
\(104\) | 4.76603 | − | 0.754866i | 0.467348 | − | 0.0740207i | ||||
\(105\) | −0.725737 | + | 0.527278i | −0.0708246 | + | 0.0514571i | ||||
\(106\) | 1.17220 | + | 0.597267i | 0.113854 | + | 0.0580117i | ||||
\(107\) | −11.1143 | − | 8.07504i | −1.07446 | − | 0.780644i | −0.0977545 | − | 0.995211i | \(-0.531166\pi\) |
−0.976709 | + | 0.214567i | \(0.931166\pi\) | |||||||
\(108\) | 11.0714 | + | 21.7288i | 1.06534 | + | 2.09085i | ||||
\(109\) | 10.4978 | − | 10.4978i | 1.00551 | − | 1.00551i | 0.00552465 | − | 0.999985i | \(-0.498241\pi\) |
0.999985 | − | 0.00552465i | \(-0.00175856\pi\) | |||||||
\(110\) | −0.941996 | − | 0.149197i | −0.0898158 | − | 0.0142254i | ||||
\(111\) | 2.87796 | − | 1.46640i | 0.273164 | − | 0.139184i | ||||
\(112\) | −4.11042 | + | 8.06715i | −0.388398 | + | 0.762274i | ||||
\(113\) | 2.45600 | + | 7.55880i | 0.231041 | + | 0.711073i | 0.997622 | + | 0.0689242i | \(0.0219567\pi\) |
−0.766580 | + | 0.642148i | \(0.778043\pi\) | |||||||
\(114\) | 15.8345i | 1.48304i | ||||||||
\(115\) | 0.827882 | − | 0.268995i | 0.0772004 | − | 0.0250839i | ||||
\(116\) | 0.897537 | + | 5.66683i | 0.0833342 | + | 0.526151i | ||||
\(117\) | 0.854048 | − | 5.39225i | 0.0789568 | − | 0.498514i | ||||
\(118\) | −4.48637 | − | 1.45771i | −0.413004 | − | 0.134193i | ||||
\(119\) | 3.05086 | − | 9.38959i | 0.279672 | − | 0.860742i | ||||
\(120\) | 1.07787 | + | 1.07787i | 0.0983955 | + | 0.0983955i | ||||
\(121\) | −0.268199 | − | 0.369145i | −0.0243818 | − | 0.0335586i | ||||
\(122\) | −24.6065 | −2.22776 | ||||||||
\(123\) | −9.99989 | + | 15.3561i | −0.901660 | + | 1.38461i | ||||
\(124\) | 12.1462 | 1.09076 | ||||||||
\(125\) | −0.681511 | − | 0.938019i | −0.0609562 | − | 0.0838990i | ||||
\(126\) | 24.0482 | + | 24.0482i | 2.14238 | + | 2.14238i | ||||
\(127\) | −2.50455 | + | 7.70820i | −0.222243 | + | 0.683993i | 0.776317 | + | 0.630343i | \(0.217086\pi\) |
−0.998560 | + | 0.0536500i | \(0.982914\pi\) | |||||||
\(128\) | −19.3151 | − | 6.27585i | −1.70723 | − | 0.554712i | ||||
\(129\) | 0.444565 | − | 2.80687i | 0.0391417 | − | 0.247131i | ||||
\(130\) | −0.0463648 | − | 0.292736i | −0.00406646 | − | 0.0256746i | ||||
\(131\) | −10.8285 | + | 3.51838i | −0.946087 | + | 0.307402i | −0.741125 | − | 0.671368i | \(-0.765707\pi\) |
−0.204962 | + | 0.978770i | \(0.565707\pi\) | |||||||
\(132\) | 37.6836i | 3.27994i | ||||||||
\(133\) | 1.90194 | + | 5.85357i | 0.164919 | + | 0.507569i | ||||
\(134\) | 14.6335 | − | 28.7198i | 1.26414 | − | 2.48101i | ||||
\(135\) | 0.648481 | − | 0.330417i | 0.0558123 | − | 0.0284378i | ||||
\(136\) | −16.5699 | − | 2.62441i | −1.42086 | − | 0.225041i | ||||
\(137\) | 4.26765 | − | 4.26765i | 0.364610 | − | 0.364610i | −0.500897 | − | 0.865507i | \(-0.666996\pi\) |
0.865507 | + | 0.500897i | \(0.166996\pi\) | |||||||
\(138\) | −23.6422 | − | 46.4005i | −2.01256 | − | 3.94987i | ||||
\(139\) | 14.2798 | + | 10.3749i | 1.21120 | + | 0.879987i | 0.995339 | − | 0.0964369i | \(-0.0307446\pi\) |
0.215860 | + | 0.976424i | \(0.430745\pi\) | |||||||
\(140\) | 1.08650 | + | 0.553597i | 0.0918257 | + | 0.0467875i | ||||
\(141\) | 25.6080 | − | 18.6053i | 2.15658 | − | 1.56685i | ||||
\(142\) | −22.6243 | + | 3.58334i | −1.89859 | + | 0.300707i | ||||
\(143\) | 2.09262 | − | 2.88024i | 0.174993 | − | 0.240858i | ||||
\(144\) | 10.2313 | − | 14.0821i | 0.852606 | − | 1.17351i | ||||
\(145\) | 0.169122 | − | 0.0267864i | 0.0140449 | − | 0.00222449i | ||||
\(146\) | 21.4231 | − | 15.5648i | 1.77299 | − | 1.28815i | ||||
\(147\) | 0.736503 | + | 0.375267i | 0.0607458 | + | 0.0309515i | ||||
\(148\) | −3.55212 | − | 2.58077i | −0.291983 | − | 0.212138i | ||||
\(149\) | 0.491547 | + | 0.964715i | 0.0402691 | + | 0.0790326i | 0.910264 | − | 0.414028i | \(-0.135878\pi\) |
−0.869995 | + | 0.493060i | \(0.835878\pi\) | |||||||
\(150\) | −24.4908 | + | 24.4908i | −1.99966 | + | 1.99966i | ||||
\(151\) | 12.9796 | + | 2.05577i | 1.05626 | + | 0.167296i | 0.660324 | − | 0.750980i | \(-0.270419\pi\) |
0.395940 | + | 0.918276i | \(0.370419\pi\) | |||||||
\(152\) | 9.31869 | − | 4.74811i | 0.755846 | − | 0.385123i | ||||
\(153\) | −8.61706 | + | 16.9119i | −0.696648 | + | 1.36725i | ||||
\(154\) | 6.85331 | + | 21.0923i | 0.552255 | + | 1.69967i | ||||
\(155\) | − | 0.362495i | − | 0.0291163i | ||||||
\(156\) | −11.1375 | + | 3.61878i | −0.891711 | + | 0.289734i | ||||
\(157\) | −2.56436 | − | 16.1907i | −0.204658 | − | 1.29216i | −0.849396 | − | 0.527757i | \(-0.823033\pi\) |
0.644737 | − | 0.764404i | \(-0.276967\pi\) | |||||||
\(158\) | −4.07454 | + | 25.7256i | −0.324153 | + | 2.04662i | ||||
\(159\) | −1.47541 | − | 0.479391i | −0.117008 | − | 0.0380181i | ||||
\(160\) | −0.0371741 | + | 0.114410i | −0.00293887 | + | 0.00904492i | ||||
\(161\) | −14.3132 | − | 14.3132i | −1.12804 | − | 1.12804i | ||||
\(162\) | −3.37958 | − | 4.65159i | −0.265525 | − | 0.365463i | ||||
\(163\) | 14.6327 | 1.14612 | 0.573059 | − | 0.819514i | \(-0.305757\pi\) | ||||
0.573059 | + | 0.819514i | \(0.305757\pi\) | |||||||
\(164\) | 24.7700 | + | 2.63502i | 1.93422 | + | 0.205761i | ||||
\(165\) | 1.12464 | 0.0875533 | ||||||||
\(166\) | −0.906159 | − | 1.24722i | −0.0703316 | − | 0.0968032i | ||||
\(167\) | −8.21554 | − | 8.21554i | −0.635738 | − | 0.635738i | 0.313764 | − | 0.949501i | \(-0.398410\pi\) |
−0.949501 | + | 0.313764i | \(0.898410\pi\) | |||||||
\(168\) | 10.9535 | − | 33.7113i | 0.845079 | − | 2.60089i | ||||
\(169\) | −11.3115 | − | 3.67534i | −0.870117 | − | 0.282718i | ||||
\(170\) | −0.161195 | + | 1.01774i | −0.0123631 | + | 0.0780573i | ||||
\(171\) | −1.85106 | − | 11.6871i | −0.141554 | − | 0.893735i | ||||
\(172\) | −3.67396 | + | 1.19374i | −0.280137 | + | 0.0910220i | ||||
\(173\) | 2.01872i | 0.153480i | 0.997051 | + | 0.0767400i | \(0.0244512\pi\) | ||||
−0.997051 | + | 0.0767400i | \(0.975549\pi\) | |||||||
\(174\) | −3.16551 | − | 9.74244i | −0.239977 | − | 0.738572i | ||||
\(175\) | −6.11186 | + | 11.9952i | −0.462013 | + | 0.906752i | ||||
\(176\) | 10.1138 | − | 5.15322i | 0.762354 | − | 0.388439i | ||||
\(177\) | 5.49407 | + | 0.870175i | 0.412960 | + | 0.0654064i | ||||
\(178\) | −8.26243 | + | 8.26243i | −0.619295 | + | 0.619295i | ||||
\(179\) | 8.10933 | + | 15.9155i | 0.606120 | + | 1.18958i | 0.966475 | + | 0.256762i | \(0.0826555\pi\) |
−0.360355 | + | 0.932815i | \(0.617344\pi\) | |||||||
\(180\) | −1.89660 | − | 1.37796i | −0.141365 | − | 0.102707i | ||||
\(181\) | −1.57724 | − | 0.803644i | −0.117235 | − | 0.0597344i | 0.394389 | − | 0.918943i | \(-0.370956\pi\) |
−0.511625 | + | 0.859209i | \(0.670956\pi\) | |||||||
\(182\) | −5.57574 | + | 4.05101i | −0.413302 | + | 0.300281i | ||||
\(183\) | 28.6586 | − | 4.53907i | 2.11850 | − | 0.335538i | ||||
\(184\) | −20.2176 | + | 27.8271i | −1.49046 | + | 2.05144i | ||||
\(185\) | −0.0770212 | + | 0.106011i | −0.00566271 | + | 0.00779406i | ||||
\(186\) | −21.4191 | + | 3.39246i | −1.57053 | + | 0.248747i | ||||
\(187\) | −10.0136 | + | 7.27532i | −0.732268 | + | 0.532024i | ||||
\(188\) | −38.3375 | − | 19.5339i | −2.79605 | − | 1.42466i | ||||
\(189\) | −13.6919 | − | 9.94773i | −0.995937 | − | 0.723591i | ||||
\(190\) | −0.291635 | − | 0.572366i | −0.0211574 | − | 0.0415238i | ||||
\(191\) | −3.86040 | + | 3.86040i | −0.279329 | + | 0.279329i | −0.832841 | − | 0.553512i | \(-0.813287\pi\) |
0.553512 | + | 0.832841i | \(0.313287\pi\) | |||||||
\(192\) | 26.0671 | + | 4.12862i | 1.88123 | + | 0.297957i | ||||
\(193\) | −5.84374 | + | 2.97753i | −0.420641 | + | 0.214328i | −0.651482 | − | 0.758664i | \(-0.725852\pi\) |
0.230841 | + | 0.972992i | \(0.425852\pi\) | |||||||
\(194\) | 3.04374 | − | 5.97367i | 0.218527 | − | 0.428884i | ||||
\(195\) | 0.108000 | + | 0.332390i | 0.00773404 | + | 0.0238029i | ||||
\(196\) | − | 1.12362i | − | 0.0802586i | ||||||
\(197\) | −4.06150 | + | 1.31966i | −0.289370 | + | 0.0940220i | −0.450105 | − | 0.892976i | \(-0.648613\pi\) |
0.160735 | + | 0.986998i | \(0.448613\pi\) | |||||||
\(198\) | −6.66995 | − | 42.1124i | −0.474013 | − | 2.99280i | ||||
\(199\) | −2.50210 | + | 15.7976i | −0.177369 | + | 1.11986i | 0.724952 | + | 0.688799i | \(0.241862\pi\) |
−0.902321 | + | 0.431064i | \(0.858138\pi\) | |||||||
\(200\) | 21.7567 | + | 7.06917i | 1.53843 | + | 0.499866i | ||||
\(201\) | −11.7454 | + | 36.1487i | −0.828458 | + | 2.54973i | ||||
\(202\) | 16.2353 | + | 16.2353i | 1.14231 | + | 1.14231i | ||||
\(203\) | −2.34039 | − | 3.22128i | −0.164263 | − | 0.226089i | ||||
\(204\) | 40.7139 | 2.85054 | ||||||||
\(205\) | 0.0786403 | − | 0.739245i | 0.00549248 | − | 0.0516311i | ||||
\(206\) | 15.2491 | 1.06245 | ||||||||
\(207\) | 22.8740 | + | 31.4833i | 1.58985 | + | 2.18824i | ||||
\(208\) | 2.49427 | + | 2.49427i | 0.172947 | + | 0.172947i | ||||
\(209\) | 2.38446 | − | 7.33862i | 0.164937 | − | 0.507623i | ||||
\(210\) | −2.07059 | − | 0.672777i | −0.142885 | − | 0.0464260i | ||||
\(211\) | 3.90790 | − | 24.6735i | 0.269031 | − | 1.69859i | −0.369691 | − | 0.929155i | \(-0.620536\pi\) |
0.638722 | − | 0.769438i | \(-0.279464\pi\) | |||||||
\(212\) | 0.329887 | + | 2.08283i | 0.0226567 | + | 0.143049i | ||||
\(213\) | 25.6890 | − | 8.34685i | 1.76018 | − | 0.571917i | ||||
\(214\) | − | 33.3421i | − | 2.27922i | ||||||
\(215\) | 0.0356264 | + | 0.109647i | 0.00242970 | + | 0.00747785i | ||||
\(216\) | −13.0560 | + | 25.6239i | −0.888351 | + | 1.74349i | ||||
\(217\) | −7.51055 | + | 3.82682i | −0.509849 | + | 0.259781i | ||||
\(218\) | 35.5878 | + | 5.63656i | 2.41031 | + | 0.381756i | ||||
\(219\) | −22.0798 | + | 22.0798i | −1.49202 | + | 1.49202i | ||||
\(220\) | −0.694044 | − | 1.36214i | −0.0467924 | − | 0.0918353i | ||||
\(221\) | −3.11184 | − | 2.26089i | −0.209325 | − | 0.152084i | ||||
\(222\) | 6.98478 | + | 3.55892i | 0.468788 | + | 0.238859i | ||||
\(223\) | −2.68513 | + | 1.95086i | −0.179809 | + | 0.130639i | −0.674049 | − | 0.738686i | \(-0.735446\pi\) |
0.494240 | + | 0.869326i | \(0.335446\pi\) | |||||||
\(224\) | 2.76291 | − | 0.437603i | 0.184605 | − | 0.0292386i | ||||
\(225\) | 15.2131 | − | 20.9390i | 1.01421 | − | 1.39593i | ||||
\(226\) | −11.3379 | + | 15.6053i | −0.754186 | + | 1.03805i | ||||
\(227\) | −7.61270 | + | 1.20573i | −0.505272 | + | 0.0800273i | −0.403867 | − | 0.914818i | \(-0.632334\pi\) |
−0.101406 | + | 0.994845i | \(0.532334\pi\) | |||||||
\(228\) | −20.5340 | + | 14.9189i | −1.35990 | + | 0.988026i | ||||
\(229\) | 4.43150 | + | 2.25796i | 0.292842 | + | 0.149210i | 0.594240 | − | 0.804288i | \(-0.297453\pi\) |
−0.301398 | + | 0.953499i | \(0.597453\pi\) | |||||||
\(230\) | 1.70918 | + | 1.24179i | 0.112700 | + | 0.0818811i | ||||
\(231\) | −11.8727 | − | 23.3015i | −0.781168 | − | 1.53313i | ||||
\(232\) | −4.78426 | + | 4.78426i | −0.314102 | + | 0.314102i | ||||
\(233\) | −10.5733 | − | 1.67465i | −0.692680 | − | 0.109710i | −0.199838 | − | 0.979829i | \(-0.564042\pi\) |
−0.492841 | + | 0.870119i | \(0.664042\pi\) | |||||||
\(234\) | 11.8059 | − | 6.01539i | 0.771774 | − | 0.393238i | ||||
\(235\) | −0.582977 | + | 1.14416i | −0.0380292 | + | 0.0746366i | ||||
\(236\) | −2.33659 | − | 7.19128i | −0.152099 | − | 0.468113i | ||||
\(237\) | − | 30.7137i | − | 1.99507i | ||||||
\(238\) | 22.7884 | − | 7.40440i | 1.47715 | − | 0.479956i | ||||
\(239\) | −1.44605 | − | 9.13003i | −0.0935375 | − | 0.590572i | −0.989284 | − | 0.146006i | \(-0.953358\pi\) |
0.895746 | − | 0.444566i | \(-0.146642\pi\) | |||||||
\(240\) | −0.174315 | + | 1.10058i | −0.0112520 | + | 0.0710423i | ||||
\(241\) | −26.9539 | − | 8.75786i | −1.73626 | − | 0.564144i | −0.741925 | − | 0.670482i | \(-0.766087\pi\) |
−0.994330 | + | 0.106339i | \(0.966087\pi\) | |||||||
\(242\) | 0.342207 | − | 1.05320i | 0.0219979 | − | 0.0677025i | ||||
\(243\) | −8.50371 | − | 8.50371i | −0.545513 | − | 0.545513i | ||||
\(244\) | −23.1835 | − | 31.9094i | −1.48417 | − | 2.04279i | ||||
\(245\) | −0.0335337 | −0.00214239 | ||||||||
\(246\) | −44.4165 | + | 2.27161i | −2.83189 | + | 0.144833i | ||||
\(247\) | 2.39792 | 0.152576 | ||||||||
\(248\) | 8.41916 | + | 11.5880i | 0.534617 | + | 0.735838i | ||||
\(249\) | 1.28545 | + | 1.28545i | 0.0814623 | + | 0.0814623i | ||||
\(250\) | 0.869568 | − | 2.67626i | 0.0549963 | − | 0.169261i | ||||
\(251\) | 6.28383 | + | 2.04174i | 0.396632 | + | 0.128874i | 0.500540 | − | 0.865713i | \(-0.333135\pi\) |
−0.103908 | + | 0.994587i | \(0.533135\pi\) | |||||||
\(252\) | −8.52787 | + | 53.8429i | −0.537205 | + | 3.39178i | ||||
\(253\) | 3.96987 | + | 25.0648i | 0.249584 | + | 1.57581i | ||||
\(254\) | −18.7077 | + | 6.07850i | −1.17383 | + | 0.381399i | ||||
\(255\) | − | 1.21508i | − | 0.0760910i | ||||||
\(256\) | −9.53197 | − | 29.3364i | −0.595748 | − | 1.83352i | ||||
\(257\) | −1.99593 | + | 3.91722i | −0.124502 | + | 0.244350i | −0.944842 | − | 0.327527i | \(-0.893785\pi\) |
0.820339 | + | 0.571877i | \(0.193785\pi\) | |||||||
\(258\) | 6.14541 | − | 3.13124i | 0.382596 | − | 0.194943i | ||||
\(259\) | 3.00954 | + | 0.476665i | 0.187004 | + | 0.0296185i | ||||
\(260\) | 0.335933 | − | 0.335933i | 0.0208337 | − | 0.0208337i | ||||
\(261\) | 3.47528 | + | 6.82061i | 0.215114 | + | 0.422185i | ||||
\(262\) | −22.3555 | − | 16.2422i | −1.38113 | − | 1.00345i | ||||
\(263\) | −11.1561 | − | 5.68432i | −0.687915 | − | 0.350510i | 0.0748417 | − | 0.997195i | \(-0.476155\pi\) |
−0.762757 | + | 0.646685i | \(0.776155\pi\) | |||||||
\(264\) | −35.9518 | + | 26.1205i | −2.21268 | + | 1.60761i | ||||
\(265\) | 0.0621605 | − | 0.00984525i | 0.00381849 | − | 0.000604789i | ||||
\(266\) | −8.78012 | + | 12.0848i | −0.538344 | + | 0.740967i | ||||
\(267\) | 8.09892 | − | 11.1472i | 0.495646 | − | 0.682198i | ||||
\(268\) | 51.0308 | − | 8.08248i | 3.11720 | − | 0.493716i | ||||
\(269\) | −2.86327 | + | 2.08029i | −0.174577 | + | 0.126838i | −0.671642 | − | 0.740875i | \(-0.734411\pi\) |
0.497066 | + | 0.867713i | \(0.334411\pi\) | |||||||
\(270\) | 1.57385 | + | 0.801918i | 0.0957817 | + | 0.0488032i | ||||
\(271\) | 3.09632 | + | 2.24961i | 0.188088 | + | 0.136654i | 0.677845 | − | 0.735205i | \(-0.262914\pi\) |
−0.489756 | + | 0.871859i | \(0.662914\pi\) | |||||||
\(272\) | −5.56760 | − | 10.9270i | −0.337585 | − | 0.662549i | ||||
\(273\) | 5.74666 | − | 5.74666i | 0.347804 | − | 0.347804i | ||||
\(274\) | 14.4674 | + | 2.29141i | 0.874009 | + | 0.138429i | ||||
\(275\) | 15.0384 | − | 7.66243i | 0.906847 | − | 0.462062i | ||||
\(276\) | 37.8966 | − | 74.3762i | 2.28111 | − | 4.47692i | ||||
\(277\) | 9.27253 | + | 28.5379i | 0.557132 | + | 1.71468i | 0.690244 | + | 0.723576i | \(0.257503\pi\) |
−0.133112 | + | 0.991101i | \(0.542497\pi\) | |||||||
\(278\) | 42.8383i | 2.56927i | ||||||||
\(279\) | 15.4124 | − | 5.00778i | 0.922714 | − | 0.299808i | ||||
\(280\) | 0.224952 | + | 1.42029i | 0.0134434 | + | 0.0848785i | ||||
\(281\) | 0.860451 | − | 5.43268i | 0.0513302 | − | 0.324086i | −0.948640 | − | 0.316358i | \(-0.897540\pi\) |
0.999970 | − | 0.00772841i | \(-0.00246005\pi\) | |||||||
\(282\) | 73.0619 | + | 23.7392i | 4.35077 | + | 1.41365i | ||||
\(283\) | 9.37505 | − | 28.8534i | 0.557289 | − | 1.71516i | −0.132533 | − | 0.991179i | \(-0.542311\pi\) |
0.689822 | − | 0.723979i | \(-0.257689\pi\) | |||||||
\(284\) | −25.9628 | − | 25.9628i | −1.54061 | − | 1.54061i | ||||
\(285\) | 0.445243 | + | 0.612824i | 0.0263739 | + | 0.0363006i | ||||
\(286\) | 8.64049 | 0.510923 | ||||||||
\(287\) | −16.1466 | + | 6.17477i | −0.953106 | + | 0.364485i | ||||
\(288\) | −5.37798 | −0.316901 | ||||||||
\(289\) | −2.13201 | − | 2.93447i | −0.125413 | − | 0.172616i | ||||
\(290\) | 0.293855 | + | 0.293855i | 0.0172558 | + | 0.0172558i | ||||
\(291\) | −2.44303 | + | 7.51886i | −0.143213 | + | 0.440763i | ||||
\(292\) | 40.3685 | + | 13.1165i | 2.36239 | + | 0.767587i | ||||
\(293\) | −3.14362 | + | 19.8480i | −0.183652 | + | 1.15953i | 0.707798 | + | 0.706415i | \(0.249689\pi\) |
−0.891450 | + | 0.453119i | \(0.850311\pi\) | |||||||
\(294\) | 0.313829 | + | 1.98144i | 0.0183029 | + | 0.115560i | ||||
\(295\) | −0.214619 | + | 0.0697339i | −0.0124956 | + | 0.00406006i | ||||
\(296\) | − | 5.17774i | − | 0.300950i | ||||||
\(297\) | 6.55663 | + | 20.1792i | 0.380454 | + | 1.17092i | ||||
\(298\) | −1.19298 | + | 2.34135i | −0.0691073 | + | 0.135631i | ||||
\(299\) | −7.02671 | + | 3.58029i | −0.406365 | + | 0.207053i | ||||
\(300\) | −54.8338 | − | 8.68482i | −3.16583 | − | 0.501419i | ||||
\(301\) | 1.89568 | − | 1.89568i | 0.109265 | − | 0.109265i | ||||
\(302\) | 14.4796 | + | 28.4177i | 0.833205 | + | 1.63526i | ||||
\(303\) | −21.9038 | − | 15.9140i | −1.25834 | − | 0.914237i | ||||
\(304\) | 6.81204 | + | 3.47091i | 0.390697 | + | 0.199070i | ||||
\(305\) | −0.952313 | + | 0.691896i | −0.0545293 | + | 0.0396178i | ||||
\(306\) | −45.4987 | + | 7.20629i | −2.60099 | + | 0.411956i | ||||
\(307\) | 0.132775 | − | 0.182749i | 0.00757787 | − | 0.0104300i | −0.805211 | − | 0.592988i | \(-0.797948\pi\) |
0.812789 | + | 0.582558i | \(0.197948\pi\) | |||||||
\(308\) | −20.8953 | + | 28.7599i | −1.19062 | + | 1.63875i | ||||
\(309\) | −17.7602 | + | 2.81294i | −1.01034 | + | 0.160023i | ||||
\(310\) | 0.711749 | − | 0.517116i | 0.0404246 | − | 0.0293702i | ||||
\(311\) | 12.9469 | + | 6.59679i | 0.734153 | + | 0.374070i | 0.780750 | − | 0.624844i | \(-0.214837\pi\) |
−0.0465963 | + | 0.998914i | \(0.514837\pi\) | |||||||
\(312\) | −11.1724 | − | 8.11724i | −0.632514 | − | 0.459548i | ||||
\(313\) | 3.71571 | + | 7.29249i | 0.210024 | + | 0.412196i | 0.971855 | − | 0.235581i | \(-0.0756992\pi\) |
−0.761831 | + | 0.647776i | \(0.775699\pi\) | |||||||
\(314\) | 28.1319 | − | 28.1319i | 1.58757 | − | 1.58757i | ||||
\(315\) | 1.60690 | + | 0.254508i | 0.0905387 | + | 0.0143399i | ||||
\(316\) | −37.1996 | + | 18.9541i | −2.09264 | + | 1.06625i | ||||
\(317\) | 4.35992 | − | 8.55683i | 0.244878 | − | 0.480600i | −0.735552 | − | 0.677468i | \(-0.763077\pi\) |
0.980430 | + | 0.196868i | \(0.0630772\pi\) | |||||||
\(318\) | −1.16347 | − | 3.58080i | −0.0652444 | − | 0.200802i | ||||
\(319\) | 4.99187i | 0.279491i | ||||||||
\(320\) | −1.01828 | + | 0.330858i | −0.0569234 | + | 0.0184955i | ||||
\(321\) | 6.15051 | + | 38.8328i | 0.343288 | + | 2.16743i | ||||
\(322\) | 7.68512 | − | 48.5219i | 0.428275 | − | 2.70402i | ||||
\(323\) | −7.92873 | − | 2.57620i | −0.441166 | − | 0.143344i | ||||
\(324\) | 2.84798 | − | 8.76519i | 0.158221 | − | 0.486955i | ||||
\(325\) | 3.70878 | + | 3.70878i | 0.205726 | + | 0.205726i | ||||
\(326\) | 20.8742 | + | 28.7308i | 1.15611 | + | 1.59125i | ||||
\(327\) | −42.4881 | −2.34960 | ||||||||
\(328\) | 14.6555 | + | 25.4581i | 0.809214 | + | 1.40569i | ||||
\(329\) | 29.8603 | 1.64625 | ||||||||
\(330\) | 1.60435 | + | 2.20820i | 0.0883168 | + | 0.121558i | ||||
\(331\) | 3.24814 | + | 3.24814i | 0.178534 | + | 0.178534i | 0.790716 | − | 0.612183i | \(-0.209708\pi\) |
−0.612183 | + | 0.790716i | \(0.709708\pi\) | |||||||
\(332\) | 0.763624 | − | 2.35019i | 0.0419093 | − | 0.128984i | ||||
\(333\) | −5.57133 | − | 1.81024i | −0.305307 | − | 0.0992003i | ||||
\(334\) | 4.41114 | − | 27.8508i | 0.241367 | − | 1.52393i | ||||
\(335\) | −0.241216 | − | 1.52298i | −0.0131790 | − | 0.0832092i | ||||
\(336\) | 24.6432 | − | 8.00708i | 1.34440 | − | 0.436822i | ||||
\(337\) | − | 17.7306i | − | 0.965849i | −0.875662 | − | 0.482924i | \(-0.839575\pi\) | ||
0.875662 | − | 0.482924i | \(-0.160425\pi\) | |||||||
\(338\) | −8.91999 | − | 27.4529i | −0.485183 | − | 1.49324i | ||||
\(339\) | 10.3263 | − | 20.2666i | 0.560849 | − | 1.10073i | ||||
\(340\) | −1.47167 | + | 0.749853i | −0.0798125 | + | 0.0406665i | ||||
\(341\) | 10.4377 | + | 1.65317i | 0.565232 | + | 0.0895240i | ||||
\(342\) | 20.3067 | − | 20.3067i | 1.09806 | − | 1.09806i | ||||
\(343\) | −8.22572 | − | 16.1439i | −0.444147 | − | 0.871688i | ||||
\(344\) | −3.68550 | − | 2.67767i | −0.198709 | − | 0.144370i | ||||
\(345\) | −2.21971 | − | 1.13100i | −0.119505 | − | 0.0608908i | ||||
\(346\) | −3.96369 | + | 2.87979i | −0.213089 | + | 0.154819i | ||||
\(347\) | 15.9671 | − | 2.52894i | 0.857160 | − | 0.135761i | 0.287640 | − | 0.957739i | \(-0.407129\pi\) |
0.569520 | + | 0.821978i | \(0.307129\pi\) | |||||||
\(348\) | 9.65142 | − | 13.2840i | 0.517370 | − | 0.712099i | ||||
\(349\) | −6.28967 | + | 8.65699i | −0.336678 | + | 0.463398i | −0.943468 | − | 0.331465i | \(-0.892457\pi\) |
0.606789 | + | 0.794863i | \(0.292457\pi\) | |||||||
\(350\) | −32.2711 | + | 5.11124i | −1.72496 | + | 0.273207i | ||||
\(351\) | −5.33437 | + | 3.87565i | −0.284727 | + | 0.206867i | ||||
\(352\) | −3.12479 | − | 1.59216i | −0.166552 | − | 0.0848625i | ||||
\(353\) | 21.0319 | + | 15.2806i | 1.11942 | + | 0.813304i | 0.984121 | − | 0.177501i | \(-0.0568012\pi\) |
0.135297 | + | 0.990805i | \(0.456801\pi\) | |||||||
\(354\) | 6.12898 | + | 12.0288i | 0.325752 | + | 0.639323i | ||||
\(355\) | −0.774841 | + | 0.774841i | −0.0411243 | + | 0.0411243i | ||||
\(356\) | −18.4992 | − | 2.92999i | −0.980458 | − | 0.155289i | ||||
\(357\) | −25.1752 | + | 12.8274i | −1.33241 | + | 0.678899i | ||||
\(358\) | −19.6812 | + | 38.6266i | −1.04018 | + | 2.04148i | ||||
\(359\) | −3.00578 | − | 9.25084i | −0.158639 | − | 0.488241i | 0.839872 | − | 0.542784i | \(-0.182630\pi\) |
−0.998511 | + | 0.0545433i | \(0.982630\pi\) | |||||||
\(360\) | − | 2.76458i | − | 0.145706i | ||||||
\(361\) | −13.1272 | + | 4.26529i | −0.690906 | + | 0.224489i | ||||
\(362\) | −0.672073 | − | 4.24330i | −0.0353234 | − | 0.223023i | ||||
\(363\) | −0.204279 | + | 1.28977i | −0.0107219 | + | 0.0676952i | ||||
\(364\) | −10.5066 | − | 3.41380i | −0.550696 | − | 0.178932i | ||||
\(365\) | 0.391454 | − | 1.20477i | 0.0204896 | − | 0.0630606i | ||||
\(366\) | 49.7951 | + | 49.7951i | 2.60283 | + | 2.60283i | ||||
\(367\) | 13.2160 | + | 18.1902i | 0.689868 | + | 0.949522i | 0.999999 | − | 0.00117139i | \(-0.000372866\pi\) |
−0.310131 | + | 0.950694i | \(0.600373\pi\) | |||||||
\(368\) | −25.1439 | −1.31072 | ||||||||
\(369\) | 32.5172 | − | 6.86890i | 1.69278 | − | 0.357581i | ||||
\(370\) | −0.318023 | −0.0165332 | ||||||||
\(371\) | −0.860205 | − | 1.18397i | −0.0446596 | − | 0.0614687i | ||||
\(372\) | −24.5798 | − | 24.5798i | −1.27440 | − | 1.27440i | ||||
\(373\) | −0.994171 | + | 3.05974i | −0.0514762 | + | 0.158428i | −0.973490 | − | 0.228730i | \(-0.926543\pi\) |
0.922014 | + | 0.387157i | \(0.126543\pi\) | |||||||
\(374\) | −28.5698 | − | 9.28288i | −1.47731 | − | 0.480006i | ||||
\(375\) | −0.519086 | + | 3.27738i | −0.0268055 | + | 0.169243i | ||||
\(376\) | −7.93753 | − | 50.1156i | −0.409347 | − | 2.58452i | ||||
\(377\) | −1.47536 | + | 0.479372i | −0.0759847 | + | 0.0246889i | ||||
\(378\) | − | 41.0745i | − | 2.11264i | ||||||
\(379\) | −5.92193 | − | 18.2258i | −0.304189 | − | 0.936198i | −0.979978 | − | 0.199103i | \(-0.936197\pi\) |
0.675789 | − | 0.737095i | \(-0.263803\pi\) | |||||||
\(380\) | 0.467467 | − | 0.917456i | 0.0239806 | − | 0.0470645i | ||||
\(381\) | 20.6671 | − | 10.5304i | 1.05881 | − | 0.539490i | ||||
\(382\) | −13.0868 | − | 2.07275i | −0.669581 | − | 0.106051i | ||||
\(383\) | 20.6909 | − | 20.6909i | 1.05726 | − | 1.05726i | 0.0589972 | − | 0.998258i | \(-0.481210\pi\) |
0.998258 | − | 0.0589972i | \(-0.0187903\pi\) | |||||||
\(384\) | 26.3870 | + | 51.7874i | 1.34656 | + | 2.64276i | ||||
\(385\) | 0.858318 | + | 0.623605i | 0.0437439 | + | 0.0317818i | ||||
\(386\) | −14.1827 | − | 7.22643i | −0.721879 | − | 0.367816i | ||||
\(387\) | −4.16974 | + | 3.02949i | −0.211960 | + | 0.153998i | ||||
\(388\) | 10.6143 | − | 1.68114i | 0.538859 | − | 0.0853470i | ||||
\(389\) | −5.16511 | + | 7.10917i | −0.261882 | + | 0.360449i | −0.919628 | − | 0.392790i | \(-0.871510\pi\) |
0.657746 | + | 0.753239i | \(0.271510\pi\) | |||||||
\(390\) | −0.498571 | + | 0.686225i | −0.0252461 | + | 0.0347483i | ||||
\(391\) | 27.0803 | − | 4.28910i | 1.36951 | − | 0.216909i | ||||
\(392\) | 1.07198 | − | 0.778840i | 0.0541432 | − | 0.0393373i | ||||
\(393\) | 29.0331 | + | 14.7931i | 1.46453 | + | 0.746214i | ||||
\(394\) | −8.38504 | − | 6.09209i | −0.422432 | − | 0.306915i | ||||
\(395\) | 0.565673 | + | 1.11020i | 0.0284621 | + | 0.0558600i | ||||
\(396\) | 48.3266 | − | 48.3266i | 2.42850 | − | 2.42850i | ||||
\(397\) | −24.8449 | − | 3.93505i | −1.24693 | − | 0.197495i | −0.502137 | − | 0.864788i | \(-0.667453\pi\) |
−0.744795 | + | 0.667294i | \(0.767453\pi\) | |||||||
\(398\) | −34.5875 | + | 17.6232i | −1.73372 | + | 0.883372i | ||||
\(399\) | 7.99676 | − | 15.6945i | 0.400339 | − | 0.785709i | ||||
\(400\) | 5.16761 | + | 15.9043i | 0.258381 | + | 0.795214i | ||||
\(401\) | − | 28.1172i | − | 1.40411i | −0.712124 | − | 0.702054i | \(-0.752267\pi\) | ||
0.712124 | − | 0.702054i | \(-0.247733\pi\) | |||||||
\(402\) | −87.7324 | + | 28.5060i | −4.37569 | + | 1.42175i | ||||
\(403\) | 0.513740 | + | 3.24363i | 0.0255912 | + | 0.161577i | ||||
\(404\) | −5.75731 | + | 36.3502i | −0.286437 | + | 1.80849i | ||||
\(405\) | −0.261591 | − | 0.0849960i | −0.0129986 | − | 0.00422349i | ||||
\(406\) | 2.98621 | − | 9.19060i | 0.148203 | − | 0.456122i | ||||
\(407\) | −2.70121 | − | 2.70121i | −0.133894 | − | 0.133894i | ||||
\(408\) | 28.2209 | + | 38.8427i | 1.39714 | + | 1.92300i | ||||
\(409\) | 1.43475 | 0.0709440 | 0.0354720 | − | 0.999371i | \(-0.488707\pi\) | ||||
0.0354720 | + | 0.999371i | \(0.488707\pi\) | |||||||
\(410\) | 1.56367 | − | 0.900159i | 0.0772242 | − | 0.0444557i | ||||
\(411\) | −17.2726 | −0.851992 | ||||||||
\(412\) | 14.3672 | + | 19.7748i | 0.707822 | + | 0.974234i | ||||
\(413\) | 3.71053 | + | 3.71053i | 0.182583 | + | 0.182583i | ||||
\(414\) | −29.1859 | + | 89.8249i | −1.43441 | + | 4.41465i | ||||
\(415\) | −0.0701399 | − | 0.0227898i | −0.00344303 | − | 0.00111871i | ||||
\(416\) | 0.170490 | − | 1.07643i | 0.00835898 | − | 0.0527765i | ||||
\(417\) | −7.90224 | − | 49.8928i | −0.386974 | − | 2.44326i | ||||
\(418\) | 17.8107 | − | 5.78705i | 0.871151 | − | 0.283054i | ||||
\(419\) | 15.5755i | 0.760912i | 0.924799 | + | 0.380456i | \(0.124233\pi\) | ||||
−0.924799 | + | 0.380456i | \(0.875767\pi\) | |||||||
\(420\) | −1.07841 | − | 3.31899i | −0.0526208 | − | 0.161950i | ||||
\(421\) | −3.37083 | + | 6.61562i | −0.164284 | + | 0.322426i | −0.958443 | − | 0.285285i | \(-0.907912\pi\) |
0.794159 | + | 0.607710i | \(0.207912\pi\) | |||||||
\(422\) | 54.0205 | − | 27.5248i | 2.62968 | − | 1.33989i | ||||
\(423\) | −56.7003 | − | 8.98045i | −2.75687 | − | 0.436645i | ||||
\(424\) | −1.75844 | + | 1.75844i | −0.0853974 | + | 0.0853974i | ||||
\(425\) | −8.27857 | − | 16.2476i | −0.401570 | − | 0.788125i | ||||
\(426\) | 53.0353 | + | 38.5324i | 2.56957 | + | 1.86690i | ||||
\(427\) | 24.3889 | + | 12.4268i | 1.18026 | + | 0.601373i | ||||
\(428\) | 43.2376 | − | 31.4140i | 2.08997 | − | 1.51845i | ||||
\(429\) | −10.0634 | + | 1.59388i | −0.485864 | + | 0.0769533i | ||||
\(430\) | −0.164466 | + | 0.226368i | −0.00793125 | + | 0.0109164i | ||||
\(431\) | 20.1133 | − | 27.6836i | 0.968824 | − | 1.33347i | 0.0261853 | − | 0.999657i | \(-0.491664\pi\) |
0.942639 | − | 0.333815i | \(-0.108336\pi\) | |||||||
\(432\) | −20.7638 | + | 3.28866i | −0.998998 | + | 0.158226i | ||||
\(433\) | −6.78471 | + | 4.92938i | −0.326053 | + | 0.236891i | −0.738754 | − | 0.673975i | \(-0.764585\pi\) |
0.412701 | + | 0.910866i | \(0.364585\pi\) | |||||||
\(434\) | −18.2280 | − | 9.28763i | −0.874972 | − | 0.445820i | ||||
\(435\) | −0.396453 | − | 0.288040i | −0.0190085 | − | 0.0138105i | ||||
\(436\) | 26.2204 | + | 51.4605i | 1.25573 | + | 2.46451i | ||||
\(437\) | −12.0863 | + | 12.0863i | −0.578166 | + | 0.578166i | ||||
\(438\) | −74.8510 | − | 11.8552i | −3.57652 | − | 0.566465i | ||||
\(439\) | 21.8040 | − | 11.1097i | 1.04065 | − | 0.530236i | 0.151786 | − | 0.988413i | \(-0.451498\pi\) |
0.888861 | + | 0.458178i | \(0.151498\pi\) | |||||||
\(440\) | 0.818459 | − | 1.60632i | 0.0390185 | − | 0.0765781i | ||||
\(441\) | −0.463260 | − | 1.42577i | −0.0220600 | − | 0.0678936i | ||||
\(442\) | − | 9.33528i | − | 0.444034i | ||||||
\(443\) | −13.1456 | + | 4.27126i | −0.624565 | + | 0.202933i | −0.604166 | − | 0.796858i | \(-0.706494\pi\) |
−0.0203990 | + | 0.999792i | \(0.506494\pi\) | |||||||
\(444\) | 1.96569 | + | 12.4109i | 0.0932876 | + | 0.588995i | ||||
\(445\) | −0.0874436 | + | 0.552097i | −0.00414522 | + | 0.0261719i | ||||
\(446\) | −7.66092 | − | 2.48918i | −0.362755 | − | 0.117866i | ||||
\(447\) | 0.957532 | − | 2.94698i | 0.0452897 | − | 0.139387i | ||||
\(448\) | 17.6049 | + | 17.6049i | 0.831753 | + | 0.831753i | ||||
\(449\) | 0.627367 | + | 0.863496i | 0.0296073 | + | 0.0407509i | 0.823564 | − | 0.567223i | \(-0.191982\pi\) |
−0.793957 | + | 0.607974i | \(0.791982\pi\) | |||||||
\(450\) | 62.8153 | 2.96114 | ||||||||
\(451\) | 20.9272 | + | 5.63571i | 0.985422 | + | 0.265375i | ||||
\(452\) | −30.9190 | −1.45431 | ||||||||
\(453\) | −22.1061 | − | 30.4265i | −1.03864 | − | 1.42956i | ||||
\(454\) | −13.2273 | − | 13.2273i | −0.620787 | − | 0.620787i | ||||
\(455\) | −0.101883 | + | 0.313562i | −0.00477633 | + | 0.0147000i | ||||
\(456\) | −28.4664 | − | 9.24931i | −1.33306 | − | 0.433138i | ||||
\(457\) | −4.71510 | + | 29.7700i | −0.220563 | + | 1.39258i | 0.590223 | + | 0.807240i | \(0.299040\pi\) |
−0.810787 | + | 0.585342i | \(0.800960\pi\) | |||||||
\(458\) | 1.88829 | + | 11.9222i | 0.0882342 | + | 0.557089i | ||||
\(459\) | 21.8019 | − | 7.08386i | 1.01762 | − | 0.330646i | ||||
\(460\) | 3.38642i | 0.157892i | ||||||||
\(461\) | 0.963390 | + | 2.96501i | 0.0448695 | + | 0.138094i | 0.970982 | − | 0.239154i | \(-0.0768702\pi\) |
−0.926112 | + | 0.377249i | \(0.876870\pi\) | |||||||
\(462\) | 28.8149 | − | 56.5525i | 1.34059 | − | 2.63106i | ||||
\(463\) | −6.30485 | + | 3.21248i | −0.293011 | + | 0.149297i | −0.594317 | − | 0.804231i | \(-0.702577\pi\) |
0.301306 | + | 0.953528i | \(0.402577\pi\) | |||||||
\(464\) | −4.88508 | − | 0.773720i | −0.226784 | − | 0.0359191i | ||||
\(465\) | −0.733567 | + | 0.733567i | −0.0340183 | + | 0.0340183i | ||||
\(466\) | −11.7952 | − | 23.1493i | −0.546401 | − | 1.07237i | ||||
\(467\) | 31.9737 | + | 23.2303i | 1.47957 | + | 1.07497i | 0.977695 | + | 0.210028i | \(0.0673556\pi\) |
0.501873 | + | 0.864941i | \(0.332644\pi\) | |||||||
\(468\) | 18.9238 | + | 9.64218i | 0.874755 | + | 0.445710i | ||||
\(469\) | −29.0082 | + | 21.0757i | −1.33947 | + | 0.973184i | ||||
\(470\) | −3.07816 | + | 0.487533i | −0.141985 | + | 0.0224882i | ||||
\(471\) | −27.5751 | + | 37.9539i | −1.27060 | + | 1.74882i | ||||
\(472\) | 5.24117 | − | 7.21386i | 0.241245 | − | 0.332045i | ||||
\(473\) | −3.31965 | + | 0.525780i | −0.152638 | + | 0.0241754i | ||||
\(474\) | 60.3054 | − | 43.8144i | 2.76992 | − | 2.01246i | ||||
\(475\) | 10.1289 | + | 5.16096i | 0.464748 | + | 0.236801i | ||||
\(476\) | 31.0725 | + | 22.5755i | 1.42421 | + | 1.03475i | ||||
\(477\) | 1.27733 | + | 2.50690i | 0.0584848 | + | 0.114783i | ||||
\(478\) | 15.8637 | − | 15.8637i | 0.725588 | − | 0.725588i | ||||
\(479\) | 11.5501 | + | 1.82935i | 0.527737 | + | 0.0835853i | 0.414617 | − | 0.909996i | \(-0.363916\pi\) |
0.113120 | + | 0.993581i | \(0.463916\pi\) | |||||||
\(480\) | 0.306755 | − | 0.156300i | 0.0140014 | − | 0.00713407i | ||||
\(481\) | 0.538949 | − | 1.05775i | 0.0245740 | − | 0.0482291i | ||||
\(482\) | −21.2552 | − | 65.4168i | −0.968148 | − | 2.97965i | ||||
\(483\) | 57.9300i | 2.63591i | ||||||||
\(484\) | 1.68820 | − | 0.548529i | 0.0767363 | − | 0.0249331i | ||||
\(485\) | −0.0501725 | − | 0.316776i | −0.00227821 | − | 0.0143841i | ||||
\(486\) | 4.56586 | − | 28.8277i | 0.207112 | − | 1.30765i | ||||
\(487\) | −23.9864 | − | 7.79365i | −1.08693 | − | 0.353164i | −0.289869 | − | 0.957066i | \(-0.593612\pi\) |
−0.797058 | + | 0.603903i | \(0.793612\pi\) | |||||||
\(488\) | 14.3732 | − | 44.2361i | 0.650643 | − | 2.00247i | ||||
\(489\) | −29.6115 | − | 29.6115i | −1.33908 | − | 1.33908i | ||||
\(490\) | −0.0478373 | − | 0.0658424i | −0.00216107 | − | 0.00297446i | ||||
\(491\) | −31.5085 | −1.42196 | −0.710980 | − | 0.703212i | \(-0.751748\pi\) | ||||
−0.710980 | + | 0.703212i | \(0.751748\pi\) | |||||||
\(492\) | −44.7938 | − | 55.4585i | −2.01946 | − | 2.50026i | ||||
\(493\) | 5.39328 | 0.242901 | ||||||||
\(494\) | 3.42075 | + | 4.70825i | 0.153907 | + | 0.211834i | ||||
\(495\) | −1.44227 | − | 1.44227i | −0.0648254 | − | 0.0648254i | ||||
\(496\) | −3.23560 | + | 9.95815i | −0.145283 | + | 0.447134i | ||||
\(497\) | 24.2339 | + | 7.87407i | 1.08704 | + | 0.353200i | ||||
\(498\) | −0.690194 | + | 4.35771i | −0.0309283 | + | 0.195274i | ||||
\(499\) | 0.773481 | + | 4.88356i | 0.0346257 | + | 0.218618i | 0.998934 | − | 0.0461643i | \(-0.0146998\pi\) |
−0.964308 | + | 0.264783i | \(0.914700\pi\) | |||||||
\(500\) | 4.28982 | − | 1.39385i | 0.191846 | − | 0.0623347i | ||||
\(501\) | 33.2509i | 1.48554i | ||||||||
\(502\) | 4.95528 | + | 15.2508i | 0.221165 | + | 0.680675i | ||||
\(503\) | −11.0443 | + | 21.6756i | −0.492439 | + | 0.966466i | 0.502365 | + | 0.864656i | \(0.332463\pi\) |
−0.994804 | + | 0.101810i | \(0.967537\pi\) | |||||||
\(504\) | −57.2795 | + | 29.1853i | −2.55143 | + | 1.30002i | ||||
\(505\) | 1.08485 | + | 0.171823i | 0.0482751 | + | 0.00764602i | ||||
\(506\) | −43.5508 | + | 43.5508i | −1.93607 | + | 1.93607i | ||||
\(507\) | 15.4530 | + | 30.3283i | 0.686294 | + | 1.34693i | ||||
\(508\) | −25.5084 | − | 18.5329i | −1.13175 | − | 0.822266i | ||||
\(509\) | 29.2644 | + | 14.9110i | 1.29712 | + | 0.660917i | 0.959856 | − | 0.280493i | \(-0.0904978\pi\) |
0.337266 | + | 0.941409i | \(0.390498\pi\) | |||||||
\(510\) | 2.38577 | − | 1.73336i | 0.105644 | − | 0.0767546i | ||||
\(511\) | −29.0942 | + | 4.60807i | −1.28705 | + | 0.203849i | ||||
\(512\) | 20.1286 | − | 27.7047i | 0.889568 | − | 1.22438i | ||||
\(513\) | −8.40003 | + | 11.5617i | −0.370870 | + | 0.510459i | ||||
\(514\) | −10.5386 | + | 1.66916i | −0.464839 | + | 0.0736233i | ||||
\(515\) | 0.590165 | − | 0.428780i | 0.0260058 | − | 0.0188943i | ||||
\(516\) | 9.85058 | + | 5.01912i | 0.433648 | + | 0.220955i | ||||
\(517\) | −30.2862 | − | 22.0042i | −1.33198 | − | 0.967743i | ||||
\(518\) | 3.35734 | + | 6.58914i | 0.147513 | + | 0.289510i | ||||
\(519\) | 4.08519 | − | 4.08519i | 0.179320 | − | 0.179320i | ||||
\(520\) | 0.553346 | + | 0.0876415i | 0.0242658 | + | 0.00384333i | ||||
\(521\) | −37.3756 | + | 19.0438i | −1.63745 | + | 0.834325i | −0.639611 | + | 0.768699i | \(0.720904\pi\) |
−0.997844 | + | 0.0656258i | \(0.979096\pi\) | |||||||
\(522\) | −8.43444 | + | 16.5535i | −0.369165 | + | 0.724528i | ||||
\(523\) | −4.76782 | − | 14.6739i | −0.208482 | − | 0.641643i | −0.999552 | − | 0.0299172i | \(-0.990476\pi\) |
0.791070 | − | 0.611726i | \(-0.209524\pi\) | |||||||
\(524\) | − | 44.2934i | − | 1.93496i | ||||||
\(525\) | 36.6425 | − | 11.9059i | 1.59921 | − | 0.519615i | ||||
\(526\) | −4.75370 | − | 30.0137i | −0.207271 | − | 1.30866i | ||||
\(527\) | 1.78610 | − | 11.2770i | 0.0778037 | − | 0.491233i | ||||
\(528\) | −30.8952 | − | 10.0385i | −1.34454 | − | 0.436868i | ||||
\(529\) | 10.2637 | − | 31.5884i | 0.446247 | − | 1.37341i | ||||
\(530\) | 0.108006 | + | 0.108006i | 0.00469147 | + | 0.00469147i | ||||
\(531\) | −5.92982 | − | 8.16169i | −0.257332 | − | 0.354187i | ||||
\(532\) | −23.9438 | −1.03810 | ||||||||
\(533\) | 0.344004 | + | 6.72626i | 0.0149005 | + | 0.291347i | ||||
\(534\) | 33.4407 | 1.44712 | ||||||||
\(535\) | −0.937529 | − | 1.29040i | −0.0405329 | − | 0.0557888i | ||||
\(536\) | 43.0831 | + | 43.0831i | 1.86091 | + | 1.86091i | ||||
\(537\) | 15.7969 | − | 48.6180i | 0.681688 | − | 2.09802i | ||||
\(538\) | −8.16919 | − | 2.65433i | −0.352199 | − | 0.114436i | ||||
\(539\) | 0.152931 | − | 0.965568i | 0.00658720 | − | 0.0415900i | ||||
\(540\) | 0.442922 | + | 2.79650i | 0.0190603 | + | 0.120342i | ||||
\(541\) | 8.26506 | − | 2.68548i | 0.355343 | − | 0.115458i | −0.125905 | − | 0.992042i | \(-0.540184\pi\) |
0.481248 | + | 0.876584i | \(0.340184\pi\) | |||||||
\(542\) | 9.28872i | 0.398985i | ||||||||
\(543\) | 1.56550 | + | 4.81810i | 0.0671819 | + | 0.206765i | ||||
\(544\) | −1.72019 | + | 3.37606i | −0.0737525 | + | 0.144748i | ||||
\(545\) | 1.53580 | − | 0.782530i | 0.0657865 | − | 0.0335199i | ||||
\(546\) | 19.4813 | + | 3.08553i | 0.833722 | + | 0.132049i | ||||
\(547\) | 1.94269 | − | 1.94269i | 0.0830635 | − | 0.0830635i | −0.664354 | − | 0.747418i | \(-0.731293\pi\) |
0.747418 | + | 0.664354i | \(0.231293\pi\) | |||||||
\(548\) | 10.6593 | + | 20.9201i | 0.455343 | + | 0.893661i | ||||
\(549\) | −42.5736 | − | 30.9315i | −1.81700 | − | 1.32013i | ||||
\(550\) | 36.4979 | + | 18.5966i | 1.55627 | + | 0.792962i | ||||
\(551\) | −2.72010 | + | 1.97627i | −0.115880 | + | 0.0841919i | ||||
\(552\) | 97.2261 | − | 15.3991i | 4.13822 | − | 0.655429i | ||||
\(553\) | 17.0305 | − | 23.4404i | 0.724209 | − | 0.996788i | ||||
\(554\) | −42.8057 | + | 58.9170i | −1.81864 | + | 2.50314i | ||||
\(555\) | 0.370394 | − | 0.0586647i | 0.0157224 | − | 0.00249018i | ||||
\(556\) | −55.5522 | + | 40.3610i | −2.35594 | + | 1.71169i | ||||
\(557\) | −29.7769 | − | 15.1721i | −1.26169 | − | 0.642862i | −0.310236 | − | 0.950660i | \(-0.600408\pi\) |
−0.951452 | + | 0.307797i | \(0.900408\pi\) | |||||||
\(558\) | 31.8191 | + | 23.1179i | 1.34701 | + | 0.978660i | ||||
\(559\) | −0.474183 | − | 0.930636i | −0.0200558 | − | 0.0393617i | ||||
\(560\) | −0.743300 | + | 0.743300i | −0.0314101 | + | 0.0314101i | ||||
\(561\) | 34.9869 | + | 5.54138i | 1.47715 | + | 0.233957i | ||||
\(562\) | 11.8944 | − | 6.06049i | 0.501734 | − | 0.255646i | ||||
\(563\) | 7.71260 | − | 15.1368i | 0.325047 | − | 0.637941i | −0.669432 | − | 0.742873i | \(-0.733463\pi\) |
0.994479 | + | 0.104932i | \(0.0334626\pi\) | |||||||
\(564\) | 38.0521 | + | 117.112i | 1.60228 | + | 4.93131i | ||||
\(565\) | 0.922756i | 0.0388206i | ||||||||
\(566\) | 70.0268 | − | 22.7531i | 2.94345 | − | 0.956384i | ||||
\(567\) | 1.00055 | + | 6.31721i | 0.0420191 | + | 0.265298i | ||||
\(568\) | 6.77343 | − | 42.7657i | 0.284207 | − | 1.79441i | ||||
\(569\) | 24.8527 | + | 8.07512i | 1.04188 | + | 0.338526i | 0.779476 | − | 0.626432i | \(-0.215486\pi\) |
0.262402 | + | 0.964959i | \(0.415486\pi\) | |||||||
\(570\) | −0.568104 | + | 1.74844i | −0.0237953 | + | 0.0732343i | ||||
\(571\) | −1.00428 | − | 1.00428i | −0.0420278 | − | 0.0420278i | 0.685781 | − | 0.727808i | \(-0.259461\pi\) |
−0.727808 | + | 0.685781i | \(0.759461\pi\) | |||||||
\(572\) | 8.14082 | + | 11.2049i | 0.340385 | + | 0.468499i | ||||
\(573\) | 15.6243 | 0.652714 | ||||||||
\(574\) | −35.1579 | − | 22.8949i | −1.46746 | − | 0.955615i | ||||
\(575\) | −37.3869 | −1.55914 | ||||||||
\(576\) | −28.1345 | − | 38.7238i | −1.17227 | − | 1.61349i | ||||
\(577\) | 23.1743 | + | 23.1743i | 0.964760 | + | 0.964760i | 0.999400 | − | 0.0346401i | \(-0.0110285\pi\) |
−0.0346401 | + | 0.999400i | \(0.511028\pi\) | |||||||
\(578\) | 2.72033 | − | 8.37230i | 0.113151 | − | 0.348242i | ||||
\(579\) | 17.8513 | + | 5.80022i | 0.741873 | + | 0.241049i | ||||
\(580\) | −0.104206 | + | 0.657930i | −0.00432691 | + | 0.0273191i | ||||
\(581\) | 0.268275 | + | 1.69382i | 0.0111299 | + | 0.0702715i | ||||
\(582\) | −18.2482 | + | 5.92919i | −0.756411 | + | 0.245773i | ||||
\(583\) | 1.83475i | 0.0759875i | ||||||||
\(584\) | 15.4678 | + | 47.6050i | 0.640062 | + | 1.96991i | ||||
\(585\) | 0.287764 | − | 0.564769i | 0.0118976 | − | 0.0233503i | ||||
\(586\) | −43.4556 | + | 22.1417i | −1.79513 | + | 0.914667i | ||||
\(587\) | −7.53663 | − | 1.19368i | −0.311070 | − | 0.0492686i | −0.00105233 | − | 0.999999i | \(-0.500335\pi\) |
−0.310018 | + | 0.950731i | \(0.600335\pi\) | |||||||
\(588\) | −2.27383 | + | 2.27383i | −0.0937710 | + | 0.0937710i | ||||
\(589\) | 3.23143 | + | 6.34204i | 0.133149 | + | 0.261319i | ||||
\(590\) | −0.443084 | − | 0.321920i | −0.0182415 | − | 0.0132532i | ||||
\(591\) | 10.8896 | + | 5.54855i | 0.447940 | + | 0.228237i | ||||
\(592\) | 3.06210 | − | 2.22475i | 0.125852 | − | 0.0914366i | ||||
\(593\) | −41.5892 | + | 6.58708i | −1.70786 | + | 0.270499i | −0.932540 | − | 0.361067i | \(-0.882413\pi\) |
−0.775322 | + | 0.631566i | \(0.782413\pi\) | |||||||
\(594\) | −30.2680 | + | 41.6604i | −1.24191 | + | 1.70935i | ||||
\(595\) | 0.673750 | − | 0.927337i | 0.0276210 | − | 0.0380171i | ||||
\(596\) | −4.16022 | + | 0.658915i | −0.170409 | + | 0.0269902i | ||||
\(597\) | 37.0324 | − | 26.9056i | 1.51563 | − | 1.10117i | ||||
\(598\) | −17.0537 | − | 8.68931i | −0.697379 | − | 0.355332i | ||||
\(599\) | 37.0626 | + | 26.9276i | 1.51434 | + | 1.10023i | 0.964207 | + | 0.265151i | \(0.0854216\pi\) |
0.550129 | + | 0.835079i | \(0.314578\pi\) | |||||||
\(600\) | −29.7225 | − | 58.3337i | −1.21342 | − | 2.38146i | ||||
\(601\) | −8.39569 | + | 8.39569i | −0.342467 | + | 0.342467i | −0.857294 | − | 0.514827i | \(-0.827856\pi\) |
0.514827 | + | 0.857294i | \(0.327856\pi\) | |||||||
\(602\) | 6.42637 | + | 1.01784i | 0.261919 | + | 0.0414840i | ||||
\(603\) | 61.4208 | − | 31.2955i | 2.50125 | − | 1.27445i | ||||
\(604\) | −23.2095 | + | 45.5513i | −0.944383 | + | 1.85346i | ||||
\(605\) | −0.0163705 | − | 0.0503831i | −0.000665554 | − | 0.00204837i | ||||
\(606\) | − | 65.7096i | − | 2.66927i | ||||||
\(607\) | −22.8222 | + | 7.41539i | −0.926325 | + | 0.300981i | −0.733059 | − | 0.680165i | \(-0.761908\pi\) |
−0.193266 | + | 0.981146i | \(0.561908\pi\) | |||||||
\(608\) | −0.369519 | − | 2.33305i | −0.0149860 | − | 0.0946177i | ||||
\(609\) | −1.78261 | + | 11.2549i | −0.0722348 | + | 0.456073i | ||||
\(610\) | −2.71704 | − | 0.882818i | −0.110010 | − | 0.0357443i | ||||
\(611\) | 3.59498 | − | 11.0642i | 0.145437 | − | 0.447610i | ||||
\(612\) | −52.2126 | − | 52.2126i | −2.11057 | − | 2.11057i | ||||
\(613\) | −10.8769 | − | 14.9708i | −0.439315 | − | 0.604665i | 0.530745 | − | 0.847532i | \(-0.321912\pi\) |
−0.970060 | + | 0.242867i | \(0.921912\pi\) | |||||||
\(614\) | 0.548233 | 0.0221249 | ||||||||
\(615\) | −1.65512 | + | 1.33684i | −0.0667409 | + | 0.0539065i | ||||
\(616\) | −41.9217 | −1.68907 | ||||||||
\(617\) | −0.798604 | − | 1.09918i | −0.0321506 | − | 0.0442515i | 0.792639 | − | 0.609691i | \(-0.208707\pi\) |
−0.824790 | + | 0.565440i | \(0.808707\pi\) | |||||||
\(618\) | −30.8589 | − | 30.8589i | −1.24133 | − | 1.24133i | ||||
\(619\) | 12.9896 | − | 39.9780i | 0.522097 | − | 1.60685i | −0.247888 | − | 0.968789i | \(-0.579736\pi\) |
0.769985 | − | 0.638062i | \(-0.220264\pi\) | |||||||
\(620\) | 1.34118 | + | 0.435775i | 0.0538630 | + | 0.0175012i | ||||
\(621\) | 7.35243 | − | 46.4214i | 0.295043 | − | 1.86283i | ||||
\(622\) | 5.51678 | + | 34.8316i | 0.221203 | + | 1.39662i | ||||
\(623\) | 12.3621 | − | 4.01668i | 0.495276 | − | 0.160925i | ||||
\(624\) | − | 10.0951i | − | 0.404128i | ||||||
\(625\) | 7.66300 | + | 23.5843i | 0.306520 | + | 0.943371i | ||||
\(626\) | −9.01797 | + | 17.6988i | −0.360430 | + | 0.707385i | ||||
\(627\) | −19.6762 | + | 10.0255i | −0.785792 | + | 0.400381i | ||||
\(628\) | 62.9861 | + | 9.97602i | 2.51342 | + | 0.398087i | ||||
\(629\) | −2.91842 | + | 2.91842i | −0.116365 | + | 0.116365i | ||||
\(630\) | 1.79260 | + | 3.51818i | 0.0714189 | + | 0.140168i | ||||
\(631\) | 29.2153 | + | 21.2262i | 1.16304 | + | 0.845001i | 0.990160 | − | 0.139941i | \(-0.0446914\pi\) |
0.172884 | + | 0.984942i | \(0.444691\pi\) | |||||||
\(632\) | −43.8680 | − | 22.3519i | −1.74498 | − | 0.889110i | ||||
\(633\) | −57.8390 | + | 42.0225i | −2.29889 | + | 1.67024i | ||||
\(634\) | 23.0207 | − | 3.64613i | 0.914270 | − | 0.144806i | ||||
\(635\) | −0.553102 | + | 0.761280i | −0.0219492 | + | 0.0302105i | ||||
\(636\) | 3.54735 | − | 4.88251i | 0.140662 | − | 0.193604i | ||||
\(637\) | 0.300061 | − | 0.0475251i | 0.0118889 | − | 0.00188301i | ||||
\(638\) | −9.80140 | + | 7.12114i | −0.388041 | + | 0.281928i | ||||
\(639\) | −43.6485 | − | 22.2400i | −1.72671 | − | 0.879802i | ||||
\(640\) | −1.90760 | − | 1.38595i | −0.0754046 | − | 0.0547847i | ||||
\(641\) | −20.0951 | − | 39.4388i | −0.793708 | − | 1.55774i | −0.829583 | − | 0.558384i | \(-0.811422\pi\) |
0.0358741 | − | 0.999356i | \(-0.488578\pi\) | |||||||
\(642\) | −67.4731 | + | 67.4731i | −2.66295 | + | 2.66295i | ||||
\(643\) | −12.3017 | − | 1.94839i | −0.485131 | − | 0.0768372i | −0.0909219 | − | 0.995858i | \(-0.528981\pi\) |
−0.394209 | + | 0.919021i | \(0.628981\pi\) | |||||||
\(644\) | 70.1633 | − | 35.7500i | 2.76482 | − | 1.40875i | ||||
\(645\) | 0.149792 | − | 0.293984i | 0.00589806 | − | 0.0115756i | ||||
\(646\) | −6.25240 | − | 19.2429i | −0.245997 | − | 0.757102i | ||||
\(647\) | 15.7465i | 0.619061i | 0.950890 | + | 0.309530i | \(0.100172\pi\) | ||||
−0.950890 | + | 0.309530i | \(0.899828\pi\) | |||||||
\(648\) | 10.3364 | − | 3.35851i | 0.406054 | − | 0.131935i | ||||
\(649\) | −1.02914 | − | 6.49776i | −0.0403974 | − | 0.255059i | ||||
\(650\) | −1.99134 | + | 12.5728i | −0.0781069 | + | 0.493148i | ||||
\(651\) | 22.9430 | + | 7.45463i | 0.899206 | + | 0.292170i | ||||
\(652\) | −17.5907 | + | 54.1387i | −0.688906 | + | 2.12024i | ||||
\(653\) | 13.7349 | + | 13.7349i | 0.537489 | + | 0.537489i | 0.922791 | − | 0.385301i | \(-0.125903\pi\) |
−0.385301 | + | 0.922791i | \(0.625903\pi\) | |||||||
\(654\) | −60.6112 | − | 83.4241i | −2.37009 | − | 3.26214i | ||||
\(655\) | −1.32190 | −0.0516511 | ||||||||
\(656\) | −8.75877 | + | 19.6060i | −0.341973 | + | 0.765484i | ||||
\(657\) | 56.6316 | 2.20941 | ||||||||
\(658\) | 42.5971 | + | 58.6298i | 1.66061 | + | 2.28563i | ||||
\(659\) | −8.94994 | − | 8.94994i | −0.348640 | − | 0.348640i | 0.510963 | − | 0.859603i | \(-0.329289\pi\) |
−0.859603 | + | 0.510963i | \(0.829289\pi\) | |||||||
\(660\) | −1.35200 | + | 4.16101i | −0.0526263 | + | 0.161967i | ||||
\(661\) | 35.5255 | + | 11.5429i | 1.38178 | + | 0.448968i | 0.903255 | − | 0.429105i | \(-0.141171\pi\) |
0.478527 | + | 0.878073i | \(0.341171\pi\) | |||||||
\(662\) | −1.74401 | + | 11.0112i | −0.0677829 | + | 0.427964i | ||||
\(663\) | 1.72205 | + | 10.8726i | 0.0668788 | + | 0.422256i | ||||
\(664\) | 2.77149 | − | 0.900512i | 0.107555 | − | 0.0349466i | ||||
\(665\) | 0.714586i | 0.0277105i | ||||||||
\(666\) | −4.39342 | − | 13.5215i | −0.170241 | − | 0.523949i | ||||
\(667\) | 5.02008 | − | 9.85246i | 0.194378 | − | 0.381489i | ||||
\(668\) | 40.2727 | − | 20.5199i | 1.55820 | − | 0.793941i | ||||
\(669\) | 9.38166 | + | 1.48591i | 0.362716 | + | 0.0574486i | ||||
\(670\) | 2.64622 | − | 2.64622i | 0.102232 | − | 0.102232i | ||||
\(671\) | −15.5794 | − | 30.5763i | −0.601436 | − | 1.18038i | ||||
\(672\) | −6.47676 | − | 4.70564i | −0.249846 | − | 0.181524i | ||||
\(673\) | −9.32618 | − | 4.75192i | −0.359498 | − | 0.183173i | 0.264908 | − | 0.964274i | \(-0.414659\pi\) |
−0.624405 | + | 0.781101i | \(0.714659\pi\) | |||||||
\(674\) | 34.8136 | − | 25.2936i | 1.34097 | − | 0.974271i | ||||
\(675\) | −30.8741 | + | 4.88997i | −1.18834 | + | 0.188215i | ||||
\(676\) | 27.1964 | − | 37.4327i | 1.04602 | − | 1.43972i | ||||
\(677\) | 9.95839 | − | 13.7066i | 0.382732 | − | 0.526786i | −0.573574 | − | 0.819154i | \(-0.694443\pi\) |
0.956306 | + | 0.292368i | \(0.0944434\pi\) | |||||||
\(678\) | 54.5238 | − | 8.63573i | 2.09398 | − | 0.331653i | ||||
\(679\) | −6.03364 | + | 4.38370i | −0.231550 | + | 0.168231i | ||||
\(680\) | −1.73548 | − | 0.884272i | −0.0665527 | − | 0.0339103i | ||||
\(681\) | 17.8455 | + | 12.9655i | 0.683841 | + | 0.496840i | ||||
\(682\) | 11.6439 | + | 22.8524i | 0.445867 | + | 0.875064i | ||||
\(683\) | −14.4614 | + | 14.4614i | −0.553350 | + | 0.553350i | −0.927406 | − | 0.374056i | \(-0.877967\pi\) |
0.374056 | + | 0.927406i | \(0.377967\pi\) | |||||||
\(684\) | 45.4658 | + | 7.20108i | 1.73843 | + | 0.275340i | ||||
\(685\) | 0.624345 | − | 0.318120i | 0.0238550 | − | 0.0121547i | ||||
\(686\) | 19.9637 | − | 39.1810i | 0.762218 | − | 1.49594i | ||||
\(687\) | −4.39851 | − | 13.5372i | −0.167813 | − | 0.516477i | ||||
\(688\) | − | 3.33012i | − | 0.126960i | ||||||
\(689\) | −0.542263 | + | 0.176192i | −0.0206586 | + | 0.00671238i | ||||
\(690\) | −0.945832 | − | 5.97175i | −0.0360072 | − | 0.227341i | ||||
\(691\) | −1.41031 | + | 8.90432i | −0.0536506 | + | 0.338736i | 0.946233 | + | 0.323486i | \(0.104855\pi\) |
−0.999884 | + | 0.0152509i | \(0.995145\pi\) | |||||||
\(692\) | −7.46895 | − | 2.42681i | −0.283927 | − | 0.0922535i | ||||
\(693\) | −14.6566 | + | 45.1085i | −0.556759 | + | 1.71353i | ||||
\(694\) | 27.7433 | + | 27.7433i | 1.05312 | + | 1.05312i | ||||
\(695\) | 1.20455 | + | 1.65792i | 0.0456911 | + | 0.0628884i | ||||
\(696\) | 19.3634 | 0.733969 | ||||||||
\(697\) | 6.08889 | − | 22.6100i | 0.230633 | − | 0.856413i | ||||
\(698\) | −25.9703 | −0.982989 | ||||||||
\(699\) | 18.0078 | + | 24.7857i | 0.681119 | + | 0.937480i | ||||
\(700\) | −37.0331 | − | 37.0331i | −1.39972 | − | 1.39972i | ||||
\(701\) | 3.66441 | − | 11.2779i | 0.138403 | − | 0.425960i | −0.857701 | − | 0.514149i | \(-0.828108\pi\) |
0.996104 | + | 0.0881889i | \(0.0281079\pi\) | |||||||
\(702\) | −15.2194 | − | 4.94510i | −0.574421 | − | 0.186641i | ||||
\(703\) | 0.402504 | − | 2.54131i | 0.0151807 | − | 0.0958474i | ||||
\(704\) | −4.88286 | − | 30.8291i | −0.184030 | − | 1.16192i | ||||
\(705\) | 3.49513 | − | 1.13564i | 0.131634 | − | 0.0427706i | ||||
\(706\) | 63.0941i | 2.37458i | ||||||||
\(707\) | −7.89260 | − | 24.2909i | −0.296832 | − | 0.913555i | ||||
\(708\) | −9.82425 | + | 19.2812i | −0.369218 | + | 0.724631i | ||||
\(709\) | 36.6676 | − | 18.6831i | 1.37708 | − | 0.701658i | 0.400398 | − | 0.916341i | \(-0.368872\pi\) |
0.976684 | + | 0.214683i | \(0.0688718\pi\) | |||||||
\(710\) | −2.62673 | − | 0.416033i | −0.0985793 | − | 0.0156134i | ||||
\(711\) | −39.3881 | + | 39.3881i | −1.47717 | + | 1.47717i | ||||
\(712\) | −10.0275 | − | 19.6800i | −0.375795 | − | 0.737539i | ||||
\(713\) | −18.9383 | − | 13.7595i | −0.709246 | − | 0.515298i | ||||
\(714\) | −61.0999 | − | 31.1320i | −2.28661 | − | 1.16508i | ||||
\(715\) | 0.334402 | − | 0.242957i | 0.0125059 | − | 0.00908608i | ||||
\(716\) | −68.6336 | + | 10.8705i | −2.56496 | + | 0.406249i | ||||
\(717\) | −15.5498 | + | 21.4024i | −0.580716 | + | 0.799287i | ||||
\(718\) | 13.8759 | − | 19.0985i | 0.517843 | − | 0.712750i | ||||
\(719\) | −24.4544 | + | 3.87320i | −0.911996 | + | 0.144446i | −0.594762 | − | 0.803902i | \(-0.702754\pi\) |
−0.317233 | + | 0.948348i | \(0.602754\pi\) | |||||||
\(720\) | 1.63497 | − | 1.18787i | 0.0609316 | − | 0.0442694i | ||||
\(721\) | −15.1142 | − | 7.70108i | −0.562883 | − | 0.286803i | ||||
\(722\) | −27.1014 | − | 19.6903i | −1.00861 | − | 0.732797i | ||||
\(723\) | 36.8227 | + | 72.2685i | 1.36945 | + | 2.68770i | ||||
\(724\) | 4.86946 | − | 4.86946i | 0.180972 | − | 0.180972i | ||||
\(725\) | −7.26372 | − | 1.15046i | −0.269768 | − | 0.0427270i | ||||
\(726\) | −2.82384 | + | 1.43882i | −0.104802 | + | 0.0533995i | ||||
\(727\) | −0.177225 | + | 0.347823i | −0.00657290 | + | 0.0129000i | −0.894270 | − | 0.447529i | \(-0.852304\pi\) |
0.887697 | + | 0.460429i | \(0.152304\pi\) | |||||||
\(728\) | −4.02577 | − | 12.3900i | −0.149205 | − | 0.459205i | ||||
\(729\) | 41.5244i | 1.53794i | ||||||||
\(730\) | 2.92396 | − | 0.950052i | 0.108221 | − | 0.0351630i | ||||
\(731\) | 0.568059 | + | 3.58659i | 0.0210104 | + | 0.132655i | ||||
\(732\) | −17.6582 | + | 111.489i | −0.652664 | + | 4.12076i | ||||
\(733\) | −9.37877 | − | 3.04735i | −0.346413 | − | 0.112556i | 0.130643 | − | 0.991430i | \(-0.458296\pi\) |
−0.477055 | + | 0.878873i | \(0.658296\pi\) | |||||||
\(734\) | −16.8628 | + | 51.8984i | −0.622418 | + | 1.91561i | ||||
\(735\) | 0.0678607 | + | 0.0678607i | 0.00250308 | + | 0.00250308i | ||||
\(736\) | 4.56625 | + | 6.28490i | 0.168314 | + | 0.231664i | ||||
\(737\) | 44.9527 | 1.65585 | ||||||||
\(738\) | 59.8742 | + | 54.0478i | 2.20400 | + | 1.98953i | ||||
\(739\) | 13.8121 | 0.508087 | 0.254044 | − | 0.967193i | \(-0.418239\pi\) | ||||
0.254044 | + | 0.967193i | \(0.418239\pi\) | |||||||
\(740\) | −0.299632 | − | 0.412409i | −0.0110147 | − | 0.0151604i | ||||
\(741\) | −4.85258 | − | 4.85258i | −0.178264 | − | 0.178264i | ||||
\(742\) | 1.09757 | − | 3.37798i | 0.0402931 | − | 0.124010i | ||||
\(743\) | −24.8949 | − | 8.08883i | −0.913304 | − | 0.296750i | −0.185587 | − | 0.982628i | \(-0.559419\pi\) |
−0.727717 | + | 0.685878i | \(0.759419\pi\) | |||||||
\(744\) | 6.41262 | − | 40.4877i | 0.235098 | − | 1.48435i | ||||
\(745\) | 0.0196648 | + | 0.124159i | 0.000720464 | + | 0.00454883i | ||||
\(746\) | −7.42595 | + | 2.41284i | −0.271883 | + | 0.0883403i | ||||
\(747\) | − | 3.29701i | − | 0.120631i | ||||||
\(748\) | −14.8797 | − | 45.7950i | −0.544055 | − | 1.67443i | ||||
\(749\) | −16.8384 | + | 33.0473i | −0.615263 | + | 1.20752i | ||||
\(750\) | −7.17554 | + | 3.65612i | −0.262014 | + | 0.133503i | ||||
\(751\) | −20.6029 | − | 3.26318i | −0.751812 | − | 0.119075i | −0.231244 | − | 0.972896i | \(-0.574280\pi\) |
−0.520568 | + | 0.853820i | \(0.674280\pi\) | |||||||
\(752\) | 26.2277 | − | 26.2277i | 0.956425 | − | 0.956425i | ||||
\(753\) | −8.58455 | − | 16.8481i | −0.312839 | − | 0.613980i | ||||
\(754\) | −3.04590 | − | 2.21297i | −0.110925 | − | 0.0805918i | ||||
\(755\) | 1.35945 | + | 0.692672i | 0.0494753 | + | 0.0252089i | ||||
\(756\) | 53.2649 | − | 38.6992i | 1.93723 | − | 1.40748i | ||||
\(757\) | 44.0377 | − | 6.97489i | 1.60058 | − | 0.253507i | 0.708609 | − | 0.705602i | \(-0.249323\pi\) |
0.891970 | + | 0.452095i | \(0.149323\pi\) | |||||||
\(758\) | 27.3380 | − | 37.6275i | 0.992961 | − | 1.36669i | ||||
\(759\) | 42.6889 | − | 58.7563i | 1.54951 | − | 2.13272i | ||||
\(760\) | 1.19932 | − | 0.189953i | 0.0435038 | − | 0.00689032i | ||||
\(761\) | −35.6363 | + | 25.8913i | −1.29182 | + | 0.938559i | −0.999840 | − | 0.0178662i | \(-0.994313\pi\) |
−0.291976 | + | 0.956426i | \(0.594313\pi\) | |||||||
\(762\) | 50.1588 | + | 25.5572i | 1.81706 | + | 0.925840i | ||||
\(763\) | −32.4266 | − | 23.5593i | −1.17392 | − | 0.852903i | ||||
\(764\) | −9.64213 | − | 18.9237i | −0.348840 | − | 0.684637i | ||||
\(765\) | −1.55825 | + | 1.55825i | −0.0563386 | + | 0.0563386i | ||||
\(766\) | 70.1425 | + | 11.1095i | 2.53435 | + | 0.401402i | ||||
\(767\) | 1.82159 | − | 0.928148i | 0.0657739 | − | 0.0335135i | ||||
\(768\) | −40.0774 | + | 78.6563i | −1.44617 | + | 2.83827i | ||||
\(769\) | −5.91420 | − | 18.2020i | −0.213272 | − | 0.656383i | −0.999272 | − | 0.0381563i | \(-0.987852\pi\) |
0.786000 | − | 0.618226i | \(-0.212148\pi\) | |||||||
\(770\) | 2.57489i | 0.0927924i | ||||||||
\(771\) | 11.9662 | − | 3.88806i | 0.430952 | − | 0.140025i | ||||
\(772\) | −3.99136 | − | 25.2004i | −0.143652 | − | 0.906984i | ||||
\(773\) | 4.60071 | − | 29.0477i | 0.165476 | − | 1.04477i | −0.755498 | − | 0.655151i | \(-0.772605\pi\) |
0.920974 | − | 0.389624i | \(-0.127395\pi\) | |||||||
\(774\) | −11.8966 | − | 3.86545i | −0.427616 | − | 0.138941i | ||||
\(775\) | −4.81107 | + | 14.8070i | −0.172819 | + | 0.531882i | ||||
\(776\) | 8.96120 | + | 8.96120i | 0.321688 | + | 0.321688i | ||||
\(777\) | −5.12569 | − | 7.05490i | −0.183883 | − | 0.253093i | ||||
\(778\) | −21.3269 | −0.764608 | ||||||||
\(779\) | 5.21408 | + | 13.6345i | 0.186814 | + | 0.488507i | ||||
\(780\) | −1.35963 | −0.0486825 | ||||||||
\(781\) | −18.7771 | − | 25.8445i | −0.671897 | − | 0.924787i | ||||
\(782\) | 47.0528 | + | 47.0528i | 1.68260 | + | 1.68260i | ||||
\(783\) | 2.85693 | − | 8.79274i | 0.102098 | − | 0.314227i | ||||
\(784\) | 0.921208 | + | 0.299319i | 0.0329003 | + | 0.0106899i | ||||
\(785\) | 0.297727 | − | 1.87978i | 0.0106263 | − | 0.0670921i | ||||
\(786\) | 12.3712 | + | 78.1088i | 0.441267 | + | 2.78605i | ||||
\(787\) | −22.7158 | + | 7.38080i | −0.809730 | + | 0.263097i | −0.684483 | − | 0.729028i | \(-0.739972\pi\) |
−0.125246 | + | 0.992126i | \(0.539972\pi\) | |||||||
\(788\) | − | 16.6134i | − | 0.591828i | ||||||
\(789\) | 11.0730 | + | 34.0793i | 0.394211 | + | 1.21326i | ||||
\(790\) | −1.37288 | + | 2.69443i | −0.0488449 | + | 0.0958635i | ||||
\(791\) | 19.1186 | − | 9.74142i | 0.679780 | − | 0.346365i | ||||
\(792\) | 79.6033 | + | 12.6079i | 2.82858 | + | 0.448003i | ||||
\(793\) | 7.54078 | − | 7.54078i | 0.267781 | − | 0.267781i | ||||
\(794\) | −27.7161 | − | 54.3959i | −0.983607 | − | 1.93044i | ||||
\(795\) | −0.145715 | − | 0.105868i | −0.00516798 | − | 0.00375476i | ||||
\(796\) | −55.4410 | − | 28.2486i | −1.96505 | − | 1.00124i | ||||
\(797\) | 26.5246 | − | 19.2712i | 0.939548 | − | 0.682622i | −0.00876372 | − | 0.999962i | \(-0.502790\pi\) |
0.948312 | + | 0.317340i | \(0.102790\pi\) | |||||||
\(798\) | 42.2235 | − | 6.68755i | 1.49470 | − | 0.236737i | ||||
\(799\) | −23.7736 | + | 32.7215i | −0.841049 | + | 1.15760i | ||||
\(800\) | 3.03693 | − | 4.17998i | 0.107372 | − | 0.147784i | ||||
\(801\) | −24.6818 | + | 3.90921i | −0.872088 | + | 0.138125i | ||||
\(802\) | 55.2074 | − | 40.1105i | 1.94944 | − | 1.41635i | ||||
\(803\) | 32.9049 | + | 16.7659i | 1.16119 | + | 0.591656i | ||||
\(804\) | −119.625 | − | 86.9127i | −4.21885 | − | 3.06518i | ||||
\(805\) | −1.06693 | − | 2.09398i | −0.0376045 | − | 0.0738030i | ||||
\(806\) | −5.63590 | + | 5.63590i | −0.198516 | + | 0.198516i | ||||
\(807\) | 10.0041 | + | 1.58449i | 0.352161 | + | 0.0557768i | ||||
\(808\) | −38.6704 | + | 19.7035i | −1.36042 | + | 0.693168i | ||||
\(809\) | −9.00467 | + | 17.6727i | −0.316587 | + | 0.621338i | −0.993385 | − | 0.114831i | \(-0.963367\pi\) |
0.676798 | + | 0.736169i | \(0.263367\pi\) | |||||||
\(810\) | −0.206284 | − | 0.634877i | −0.00724809 | − | 0.0223073i | ||||
\(811\) | − | 12.6254i | − | 0.443338i | −0.975122 | − | 0.221669i | \(-0.928850\pi\) | ||
0.975122 | − | 0.221669i | \(-0.0711505\pi\) | |||||||
\(812\) | 14.7318 | − | 4.78664i | 0.516984 | − | 0.167978i | ||||
\(813\) | −1.71346 | − | 10.8184i | −0.0600936 | − | 0.379416i | ||||
\(814\) | 1.45035 | − | 9.15716i | 0.0508348 | − | 0.320958i | ||||
\(815\) | 1.61573 | + | 0.524983i | 0.0565966 | + | 0.0183894i | ||||
\(816\) | −10.8457 | + | 33.3795i | −0.379674 | + | 1.16852i | ||||
\(817\) | −1.60074 | − | 1.60074i | −0.0560028 | − | 0.0560028i | ||||
\(818\) | 2.04674 | + | 2.81710i | 0.0715627 | + | 0.0984976i | ||||
\(819\) | −14.7394 | −0.515035 | ||||||||
\(820\) | 2.64056 | + | 1.17965i | 0.0922124 | + | 0.0411950i | ||||
\(821\) | −3.71560 | −0.129675 | −0.0648376 | − | 0.997896i | \(-0.520653\pi\) | ||||
−0.0648376 | + | 0.997896i | \(0.520653\pi\) | |||||||
\(822\) | −24.6401 | − | 33.9142i | −0.859422 | − | 1.18289i | ||||
\(823\) | 30.0144 | + | 30.0144i | 1.04624 | + | 1.04624i | 0.998878 | + | 0.0473578i | \(0.0150801\pi\) |
0.0473578 | + | 0.998878i | \(0.484920\pi\) | |||||||
\(824\) | −8.90731 | + | 27.4139i | −0.310301 | + | 0.955007i | ||||
\(825\) | −45.9387 | − | 14.9264i | −1.59938 | − | 0.519670i | ||||
\(826\) | −1.99228 | + | 12.5788i | −0.0693202 | + | 0.437671i | ||||
\(827\) | 2.13027 | + | 13.4500i | 0.0740766 | + | 0.467702i | 0.996643 | + | 0.0818642i | \(0.0260874\pi\) |
−0.922567 | + | 0.385837i | \(0.873913\pi\) | |||||||
\(828\) | −143.982 | + | 46.7825i | −5.00372 | + | 1.62581i | ||||
\(829\) | − | 38.0361i | − | 1.32105i | −0.750805 | − | 0.660524i | \(-0.770334\pi\) | ||
0.750805 | − | 0.660524i | \(-0.229666\pi\) | |||||||
\(830\) | −0.0553106 | − | 0.170228i | −0.00191986 | − | 0.00590872i | ||||
\(831\) | 38.9866 | − | 76.5155i | 1.35243 | − | 2.65429i | ||||
\(832\) | 8.64270 | − | 4.40367i | 0.299632 | − | 0.152670i | ||||
\(833\) | −1.04321 | − | 0.165228i | −0.0361451 | − | 0.00572483i | ||||
\(834\) | 86.6902 | − | 86.6902i | 3.00184 | − | 3.00184i | ||||
\(835\) | −0.612404 | − | 1.20191i | −0.0211931 | − | 0.0415938i | ||||
\(836\) | 24.2853 | + | 17.6443i | 0.839926 | + | 0.610242i | ||||
\(837\) | −17.4389 | − | 8.88557i | −0.602777 | − | 0.307130i | ||||
\(838\) | −30.5820 | + | 22.2191i | −1.05644 | + | 0.767547i | ||||
\(839\) | −7.44308 | + | 1.17887i | −0.256964 | + | 0.0406991i | −0.283587 | − | 0.958946i | \(-0.591525\pi\) |
0.0266234 | + | 0.999646i | \(0.491525\pi\) | |||||||
\(840\) | 2.41896 | − | 3.32941i | 0.0834620 | − | 0.114876i | ||||
\(841\) | −15.7673 | + | 21.7018i | −0.543699 | + | 0.748337i | ||||
\(842\) | −17.7982 | + | 2.81896i | −0.613368 | + | 0.0971479i | ||||
\(843\) | −12.7352 | + | 9.25263i | −0.438622 | + | 0.318678i | ||||
\(844\) | 86.5904 | + | 44.1200i | 2.98057 | + | 1.51867i | ||||
\(845\) | −1.11715 | − | 0.811658i | −0.0384312 | − | 0.0279219i | ||||
\(846\) | −63.2528 | − | 124.141i | −2.17468 | − | 4.26804i | ||||
\(847\) | −0.871070 | + | 0.871070i | −0.0299303 | + | 0.0299303i | ||||
\(848\) | −1.79550 | − | 0.284379i | −0.0616576 | − | 0.00976561i | ||||
\(849\) | −77.3614 | + | 39.4176i | −2.65504 | + | 1.35281i | ||||
\(850\) | 20.0920 | − | 39.4327i | 0.689149 | − | 1.35253i | ||||
\(851\) | 2.61491 | + | 8.04786i | 0.0896379 | + | 0.275877i | ||||
\(852\) | 105.080i | 3.59997i | ||||||||
\(853\) | −44.7084 | + | 14.5266i | −1.53079 | + | 0.497383i | −0.948817 | − | 0.315827i | \(-0.897718\pi\) |
−0.581971 | + | 0.813210i | \(0.697718\pi\) | |||||||
\(854\) | 10.3923 | + | 65.6142i | 0.355616 | + | 2.24527i | ||||
\(855\) | 0.214911 | − | 1.35690i | 0.00734981 | − | 0.0464049i | ||||
\(856\) | 59.9405 | + | 19.4759i | 2.04873 | + | 0.665671i | ||||
\(857\) | 6.41959 | − | 19.7575i | 0.219289 | − | 0.674903i | −0.779532 | − | 0.626362i | \(-0.784543\pi\) |
0.998821 | − | 0.0485403i | \(-0.0154569\pi\) | |||||||
\(858\) | −17.4854 | − | 17.4854i | −0.596942 | − | 0.596942i | ||||
\(859\) | −7.73097 | − | 10.6408i | −0.263777 | − | 0.363058i | 0.656499 | − | 0.754327i | \(-0.272036\pi\) |
−0.920277 | + | 0.391268i | \(0.872036\pi\) | |||||||
\(860\) | −0.448506 | −0.0152939 | ||||||||
\(861\) | 45.1710 | + | 20.1797i | 1.53942 | + | 0.687722i | ||||
\(862\) | 83.0485 | 2.82864 | ||||||||
\(863\) | −10.8301 | − | 14.9063i | −0.368661 | − | 0.507418i | 0.583876 | − | 0.811843i | \(-0.301536\pi\) |
−0.952536 | + | 0.304425i | \(0.901536\pi\) | |||||||
\(864\) | 4.59282 | + | 4.59282i | 0.156251 | + | 0.156251i | ||||
\(865\) | −0.0724265 | + | 0.222906i | −0.00246257 | + | 0.00757902i | ||||
\(866\) | −19.3574 | − | 6.28961i | −0.657792 | − | 0.213729i | ||||
\(867\) | −1.62389 | + | 10.2528i | −0.0551502 | + | 0.348204i | ||||
\(868\) | −5.12982 | − | 32.3884i | −0.174117 | − | 1.09933i | ||||
\(869\) | −34.5468 | + | 11.2249i | −1.17192 | + | 0.380779i | ||||
\(870\) | − | 1.18933i | − | 0.0403219i | ||||||
\(871\) | 4.31683 | + | 13.2858i | 0.146270 | + | 0.450174i | ||||
\(872\) | −30.9207 | + | 60.6853i | −1.04711 | + | 2.05506i | ||||
\(873\) | 12.7754 | − | 6.50940i | 0.432382 | − | 0.220310i | ||||
\(874\) | −40.9728 | − | 6.48945i | −1.38592 | − | 0.219509i | ||||
\(875\) | −2.21344 | + | 2.21344i | −0.0748280 | + | 0.0748280i | ||||
\(876\) | −55.1488 | − | 108.236i | −1.86330 | − | 3.65694i | ||||
\(877\) | −15.2047 | − | 11.0469i | −0.513426 | − | 0.373026i | 0.300696 | − | 0.953720i | \(-0.402781\pi\) |
−0.814122 | + | 0.580694i | \(0.802781\pi\) | |||||||
\(878\) | 52.9179 | + | 26.9630i | 1.78589 | + | 0.909958i | ||||
\(879\) | 46.5273 | − | 33.8041i | 1.56933 | − | 1.14018i | ||||
\(880\) | 1.30164 | − | 0.206160i | 0.0438784 | − | 0.00694965i | ||||
\(881\) | 6.74048 | − | 9.27748i | 0.227093 | − | 0.312566i | −0.680232 | − | 0.732997i | \(-0.738121\pi\) |
0.907325 | + | 0.420431i | \(0.138121\pi\) | |||||||
\(882\) | 2.13859 | − | 2.94352i | 0.0720101 | − | 0.0991135i | ||||
\(883\) | 36.1792 | − | 5.73023i | 1.21753 | − | 0.192837i | 0.485576 | − | 0.874194i | \(-0.338610\pi\) |
0.731951 | + | 0.681357i | \(0.238610\pi\) | |||||||
\(884\) | 12.1059 | − | 8.79543i | 0.407165 | − | 0.295822i | ||||
\(885\) | 0.575433 | + | 0.293198i | 0.0193430 | + | 0.00985574i | ||||
\(886\) | −27.1393 | − | 19.7178i | −0.911761 | − | 0.662433i | ||||
\(887\) | 20.8224 | + | 40.8663i | 0.699149 | + | 1.37216i | 0.918071 | + | 0.396415i | \(0.129746\pi\) |
−0.218922 | + | 0.975742i | \(0.570254\pi\) | |||||||
\(888\) | −10.4780 | + | 10.4780i | −0.351618 | + | 0.351618i | ||||
\(889\) | 21.6120 | + | 3.42301i | 0.724844 | + | 0.114804i | ||||
\(890\) | −1.20877 | + | 0.615899i | −0.0405181 | + | 0.0206450i | ||||
\(891\) | 3.64037 | − | 7.14462i | 0.121957 | − | 0.239354i | ||||
\(892\) | −3.98995 | − | 12.2798i | −0.133594 | − | 0.411159i | ||||
\(893\) | − | 25.2145i | − | 0.843772i | ||||||
\(894\) | 7.15228 | − | 2.32392i | 0.239208 | − | 0.0777234i | ||||
\(895\) | 0.324422 | + | 2.04832i | 0.0108442 | + | 0.0684678i | ||||
\(896\) | −8.57732 | + | 54.1551i | −0.286548 | + | 1.80919i | ||||
\(897\) | 21.4650 | + | 6.97439i | 0.716694 | + | 0.232868i | ||||
\(898\) | −0.800483 | + | 2.46363i | −0.0267125 | + | 0.0822125i | ||||
\(899\) | −3.25603 | − | 3.25603i | −0.108595 | − | 0.108595i | ||||
\(900\) | 59.1828 | + | 81.4582i | 1.97276 | + | 2.71527i | ||||
\(901\) | 1.98228 | 0.0660394 | ||||||||
\(902\) | 18.7880 | + | 49.1295i | 0.625572 | + | 1.63583i | ||||
\(903\) | −7.67240 | −0.255322 | ||||||||
\(904\) | −21.4316 | − | 29.4980i | −0.712803 | − | 0.981089i | ||||
\(905\) | −0.145326 | − | 0.145326i | −0.00483078 | − | 0.00483078i | ||||
\(906\) | 28.2061 | − | 86.8095i | 0.937086 | − | 2.88405i | ||||
\(907\) | −4.33501 | − | 1.40853i | −0.143942 | − | 0.0467695i | 0.236160 | − | 0.971714i | \(-0.424111\pi\) |
−0.380102 | + | 0.924945i | \(0.624111\pi\) | |||||||
\(908\) | 4.69061 | − | 29.6153i | 0.155663 | − | 0.982820i | ||||
\(909\) | 7.68144 | + | 48.4987i | 0.254777 | + | 1.60860i | ||||
\(910\) | −0.761012 | + | 0.247268i | −0.0252273 | + | 0.00819684i | ||||
\(911\) | − | 0.497074i | − | 0.0164688i | −0.999966 | − | 0.00823439i | \(-0.997379\pi\) | ||
0.999966 | − | 0.00823439i | \(-0.00262112\pi\) | |||||||
\(912\) | −6.76131 | − | 20.8092i | −0.223889 | − | 0.689061i | ||||
\(913\) | 0.976085 | − | 1.91567i | 0.0323037 | − | 0.0633996i | ||||
\(914\) | −65.1789 | + | 33.2103i | −2.15593 | + | 1.09850i | ||||
\(915\) | 3.32732 | + | 0.526995i | 0.109998 | + | 0.0174219i | ||||
\(916\) | −13.6815 | + | 13.6815i | −0.452049 | + | 0.452049i | ||||
\(917\) | 13.9552 | + | 27.3886i | 0.460841 | + | 0.904452i | ||||
\(918\) | 45.0103 | + | 32.7019i | 1.48556 | + | 1.07932i | ||||
\(919\) | −19.8412 | − | 10.1096i | −0.654502 | − | 0.333485i | 0.0950101 | − | 0.995476i | \(-0.469712\pi\) |
−0.749512 | + | 0.661991i | \(0.769712\pi\) | |||||||
\(920\) | −3.23078 | + | 2.34730i | −0.106516 | + | 0.0773882i | ||||
\(921\) | −0.638514 | + | 0.101131i | −0.0210397 | + | 0.00333237i | ||||
\(922\) | −4.44739 | + | 6.12131i | −0.146467 | + | 0.201595i | ||||
\(923\) | 5.83520 | − | 8.03146i | 0.192068 | − | 0.264359i | ||||
\(924\) | 100.485 | − | 15.9153i | 3.30572 | − | 0.523574i | ||||
\(925\) | 4.55310 | − | 3.30802i | 0.149705 | − | 0.108767i | ||||
\(926\) | −15.3018 | − | 7.79664i | −0.502847 | − | 0.256214i | ||||
\(927\) | 26.3836 | + | 19.1688i | 0.866552 | + | 0.629587i | ||||
\(928\) | 0.693756 | + | 1.36157i | 0.0227737 | + | 0.0446958i | ||||
\(929\) | −6.13292 | + | 6.13292i | −0.201215 | + | 0.201215i | −0.800520 | − | 0.599306i | \(-0.795443\pi\) |
0.599306 | + | 0.800520i | \(0.295443\pi\) | |||||||
\(930\) | −2.48680 | − | 0.393871i | −0.0815455 | − | 0.0129155i | ||||
\(931\) | 0.586689 | − | 0.298933i | 0.0192280 | − | 0.00979713i | ||||
\(932\) | 18.9067 | − | 37.1065i | 0.619310 | − | 1.21546i | ||||
\(933\) | −12.8505 | − | 39.5499i | −0.420707 | − | 1.29480i | ||||
\(934\) | 95.9186i | 3.13855i | ||||||||
\(935\) | −1.36672 | + | 0.444074i | −0.0446965 | + | 0.0145228i | ||||
\(936\) | 3.91806 | + | 24.7376i | 0.128066 | + | 0.808575i | ||||
\(937\) | −4.33799 | + | 27.3890i | −0.141716 | + | 0.894759i | 0.809699 | + | 0.586846i | \(0.199630\pi\) |
−0.951415 | + | 0.307913i | \(0.900370\pi\) | |||||||
\(938\) | −82.7630 | − | 26.8913i | −2.70231 | − | 0.878033i | ||||
\(939\) | 7.23819 | − | 22.2768i | 0.236209 | − | 0.726977i | ||||
\(940\) | −3.53239 | − | 3.53239i | −0.115214 | − | 0.115214i | ||||
\(941\) | 15.4910 | + | 21.3216i | 0.504993 | + | 0.695063i | 0.983065 | − | 0.183257i | \(-0.0586642\pi\) |
−0.478072 | + | 0.878321i | \(0.658664\pi\) | |||||||
\(942\) | −113.859 | −3.70972 | ||||||||
\(943\) | −35.6364 | − | 32.1686i | −1.16048 | − | 1.04755i | ||||
\(944\) | 6.51826 | 0.212151 | ||||||||
\(945\) | −1.15495 | − | 1.58965i | −0.0375706 | − | 0.0517115i | ||||
\(946\) | −5.76799 | − | 5.76799i | −0.187533 | − | 0.187533i | ||||
\(947\) | −17.4125 | + | 53.5901i | −0.565830 | + | 1.74144i | 0.0996438 | + | 0.995023i | \(0.468230\pi\) |
−0.665474 | + | 0.746421i | \(0.731770\pi\) | |||||||
\(948\) | 113.636 | + | 36.9226i | 3.69073 | + | 1.19919i | ||||
\(949\) | −1.79531 | + | 11.3351i | −0.0582782 | + | 0.367954i | ||||
\(950\) | 4.31602 | + | 27.2503i | 0.140030 | + | 0.884115i | ||||
\(951\) | −26.1391 | + | 8.49312i | −0.847619 | + | 0.275408i | ||||
\(952\) | 45.2927i | 1.46795i | ||||||||
\(953\) | −9.02900 | − | 27.7884i | −0.292478 | − | 0.900154i | −0.984057 | − | 0.177854i | \(-0.943085\pi\) |
0.691579 | − | 0.722301i | \(-0.256915\pi\) | |||||||
\(954\) | −3.10006 | + | 6.08420i | −0.100368 | + | 0.196983i | ||||
\(955\) | −0.564766 | + | 0.287763i | −0.0182754 | + | 0.00931178i | ||||
\(956\) | 35.5182 | + | 5.62552i | 1.14874 | + | 0.181942i | ||||
\(957\) | 10.1019 | − | 10.1019i | 0.326547 | − | 0.326547i | ||||
\(958\) | 12.8848 | + | 25.2879i | 0.416291 | + | 0.817016i | ||||
\(959\) | −13.1823 | − | 9.57748i | −0.425678 | − | 0.309273i | ||||
\(960\) | 2.73019 | + | 1.39110i | 0.0881165 | + | 0.0448976i | ||||
\(961\) | 17.1931 | − | 12.4915i | 0.554615 | − | 0.402952i | ||||
\(962\) | 2.84569 | − | 0.450713i | 0.0917488 | − | 0.0145316i | ||||
\(963\) | 41.9127 | − | 57.6879i | 1.35062 | − | 1.85897i | ||||
\(964\) | 64.8057 | − | 89.1973i | 2.08725 | − | 2.87285i | ||||
\(965\) | −0.752090 | + | 0.119119i | −0.0242106 | + | 0.00383459i | ||||
\(966\) | −113.744 | + | 82.6398i | −3.65965 | + | 2.65889i | ||||
\(967\) | −17.8304 | − | 9.08505i | −0.573388 | − | 0.292156i | 0.143153 | − | 0.989701i | \(-0.454276\pi\) |
−0.716541 | + | 0.697545i | \(0.754276\pi\) | |||||||
\(968\) | 1.69350 | + | 1.23040i | 0.0544311 | + | 0.0395465i | ||||
\(969\) | 10.8317 | + | 21.2584i | 0.347964 | + | 0.682918i | ||||
\(970\) | 0.550408 | − | 0.550408i | 0.0176725 | − | 0.0176725i | ||||
\(971\) | −3.43652 | − | 0.544291i | −0.110283 | − | 0.0174671i | 0.101049 | − | 0.994881i | \(-0.467780\pi\) |
−0.211332 | + | 0.977414i | \(0.567780\pi\) | |||||||
\(972\) | 41.6853 | − | 21.2397i | 1.33706 | − | 0.681264i | ||||
\(973\) | 21.6342 | − | 42.4595i | 0.693561 | − | 1.36119i | ||||
\(974\) | −18.9151 | − | 58.2146i | −0.606078 | − | 1.86532i | ||||
\(975\) | − | 15.0106i | − | 0.480725i | ||||||
\(976\) | 32.3369 | − | 10.5069i | 1.03508 | − | 0.336318i | ||||
\(977\) | −0.933392 | − | 5.89321i | −0.0298619 | − | 0.188540i | 0.968248 | − | 0.249991i | \(-0.0804275\pi\) |
−0.998110 | + | 0.0614501i | \(0.980428\pi\) | |||||||
\(978\) | 15.8992 | − | 100.384i | 0.508400 | − | 3.20991i | ||||
\(979\) | −15.4983 | − | 5.03570i | −0.495328 | − | 0.160942i | ||||
\(980\) | 0.0403127 | − | 0.124070i | 0.00128774 | − | 0.00396326i | ||||
\(981\) | 54.4879 | + | 54.4879i | 1.73967 | + | 1.73967i | ||||
\(982\) | −44.9484 | − | 61.8661i | −1.43436 | − | 1.97423i | ||||
\(983\) | 42.8287 | 1.36602 | 0.683011 | − | 0.730408i | \(-0.260670\pi\) | ||||
0.683011 | + | 0.730408i | \(0.260670\pi\) | |||||||
\(984\) | 21.8609 | − | 81.1763i | 0.696899 | − | 2.58781i | ||||
\(985\) | −0.495816 | −0.0157980 | ||||||||
\(986\) | 7.69376 | + | 10.5895i | 0.245019 | + | 0.337240i | ||||
\(987\) | −60.4270 | − | 60.4270i | −1.92341 | − | 1.92341i | ||||
\(988\) | −2.88268 | + | 8.87196i | −0.0917101 | + | 0.282255i | ||||
\(989\) | 7.08074 | + | 2.30067i | 0.225154 | + | 0.0731571i | ||||
\(990\) | 0.774395 | − | 4.88934i | 0.0246119 | − | 0.155393i | ||||
\(991\) | 4.88595 | + | 30.8487i | 0.155207 | + | 0.979940i | 0.935192 | + | 0.354141i | \(0.115227\pi\) |
−0.779985 | + | 0.625799i | \(0.784773\pi\) | |||||||
\(992\) | 3.07671 | − | 0.999685i | 0.0976857 | − | 0.0317400i | ||||
\(993\) | − | 13.1463i | − | 0.417184i | ||||||
\(994\) | 19.1102 | + | 58.8153i | 0.606140 | + | 1.86551i | ||||
\(995\) | −0.843059 | + | 1.65460i | −0.0267268 | + | 0.0524542i | ||||
\(996\) | −6.30131 | + | 3.21068i | −0.199665 | + | 0.101734i | ||||
\(997\) | 43.0807 | + | 6.82332i | 1.36438 | + | 0.216097i | 0.795315 | − | 0.606196i | \(-0.207305\pi\) |
0.569065 | + | 0.822293i | \(0.307305\pi\) | |||||||
\(998\) | −8.48534 | + | 8.48534i | −0.268599 | + | 0.268599i | ||||
\(999\) | 3.21200 | + | 6.30390i | 0.101623 | + | 0.199446i |
(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 | 41.2.g.a.5.3 | ✓ | 24 | |
3.2 | odd | 2 | 369.2.u.a.46.1 | 24 | |||
4.3 | odd | 2 | 656.2.bs.d.497.3 | 24 | |||
41.19 | odd | 40 | 1681.2.a.m.1.22 | 24 | |||
41.22 | odd | 40 | 1681.2.a.m.1.21 | 24 | |||
41.33 | even | 20 | inner | 41.2.g.a.33.3 | yes | 24 | |
123.74 | odd | 20 | 369.2.u.a.361.1 | 24 | |||
164.115 | odd | 20 | 656.2.bs.d.33.3 | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
41.2.g.a.5.3 | ✓ | 24 | 1.1 | even | 1 | trivial | |
41.2.g.a.33.3 | yes | 24 | 41.33 | even | 20 | inner | |
369.2.u.a.46.1 | 24 | 3.2 | odd | 2 | |||
369.2.u.a.361.1 | 24 | 123.74 | odd | 20 | |||
656.2.bs.d.33.3 | 24 | 164.115 | odd | 20 | |||
656.2.bs.d.497.3 | 24 | 4.3 | odd | 2 | |||
1681.2.a.m.1.21 | 24 | 41.22 | odd | 40 | |||
1681.2.a.m.1.22 | 24 | 41.19 | odd | 40 |