Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [190,2,Mod(61,190)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(190, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("190.61");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 190 = 2 \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 190.k (of order \(9\), degree \(6\), 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: | \(1.51715763840\) |
Analytic rank: | \(0\) |
Dimension: | \(18\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{9})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{18} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{18} + 24 x^{16} - 12 x^{15} + 393 x^{14} - 222 x^{13} + 3518 x^{12} - 2478 x^{11} + 22809 x^{10} + \cdots + 64 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 101.3 | ||
Root | \(1.18566 + 2.05362i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 190.101 |
Dual form | 190.2.k.d.111.3 |
$q$-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 \(\left(\mathbb{Z}/190\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(77\) |
\(\chi(n)\) | \(e\left(\frac{7}{9}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.766044 | + | 0.642788i | −0.541675 | + | 0.454519i | ||||
\(3\) | 2.22831 | + | 0.811037i | 1.28651 | + | 0.468252i | 0.892581 | − | 0.450887i | \(-0.148892\pi\) |
0.393932 | + | 0.919140i | \(0.371115\pi\) | |||||||
\(4\) | 0.173648 | − | 0.984808i | 0.0868241 | − | 0.492404i | ||||
\(5\) | 0.173648 | + | 0.984808i | 0.0776578 | + | 0.440419i | ||||
\(6\) | −2.22831 | + | 0.811037i | −0.909702 | + | 0.331104i | ||||
\(7\) | −1.57771 | + | 2.73267i | −0.596318 | + | 1.03285i | 0.397041 | + | 0.917801i | \(0.370037\pi\) |
−0.993359 | + | 0.115053i | \(0.963296\pi\) | |||||||
\(8\) | 0.500000 | + | 0.866025i | 0.176777 | + | 0.306186i | ||||
\(9\) | 2.00943 | + | 1.68611i | 0.669811 | + | 0.562038i | ||||
\(10\) | −0.766044 | − | 0.642788i | −0.242245 | − | 0.203267i | ||||
\(11\) | −0.688886 | − | 1.19319i | −0.207707 | − | 0.359759i | 0.743285 | − | 0.668975i | \(-0.233267\pi\) |
−0.950992 | + | 0.309216i | \(0.899933\pi\) | |||||||
\(12\) | 1.18566 | − | 2.05362i | 0.342270 | − | 0.592828i | ||||
\(13\) | 4.06437 | − | 1.47931i | 1.12725 | − | 0.410286i | 0.289958 | − | 0.957039i | \(-0.406359\pi\) |
0.837294 | + | 0.546753i | \(0.184136\pi\) | |||||||
\(14\) | −0.547933 | − | 3.10748i | −0.146441 | − | 0.830509i | ||||
\(15\) | −0.411774 | + | 2.33529i | −0.106320 | + | 0.602969i | ||||
\(16\) | −0.939693 | − | 0.342020i | −0.234923 | − | 0.0855050i | ||||
\(17\) | −0.993253 | + | 0.833438i | −0.240899 | + | 0.202138i | −0.755242 | − | 0.655446i | \(-0.772480\pi\) |
0.514342 | + | 0.857585i | \(0.328036\pi\) | |||||||
\(18\) | −2.62313 | −0.618277 | ||||||||
\(19\) | 1.08907 | − | 4.22066i | 0.249849 | − | 0.968285i | ||||
\(20\) | 1.00000 | 0.223607 | ||||||||
\(21\) | −5.73192 | + | 4.80965i | −1.25081 | + | 1.04955i | ||||
\(22\) | 1.29468 | + | 0.471226i | 0.276027 | + | 0.100466i | ||||
\(23\) | −0.369001 | + | 2.09271i | −0.0769420 | + | 0.436360i | 0.921864 | + | 0.387513i | \(0.126666\pi\) |
−0.998806 | + | 0.0488468i | \(0.984445\pi\) | |||||||
\(24\) | 0.411774 | + | 2.33529i | 0.0840531 | + | 0.476689i | ||||
\(25\) | −0.939693 | + | 0.342020i | −0.187939 | + | 0.0684040i | ||||
\(26\) | −2.16260 | + | 3.74574i | −0.424122 | + | 0.734600i | ||||
\(27\) | −0.446842 | − | 0.773953i | −0.0859948 | − | 0.148947i | ||||
\(28\) | 2.41719 | + | 2.02826i | 0.456806 | + | 0.383306i | ||||
\(29\) | −0.0998515 | − | 0.0837854i | −0.0185420 | − | 0.0155586i | 0.633470 | − | 0.773768i | \(-0.281630\pi\) |
−0.652012 | + | 0.758209i | \(0.726075\pi\) | |||||||
\(30\) | −1.18566 | − | 2.05362i | −0.216470 | − | 0.374938i | ||||
\(31\) | −0.173355 | + | 0.300259i | −0.0311355 | + | 0.0539282i | −0.881173 | − | 0.472793i | \(-0.843246\pi\) |
0.850038 | + | 0.526722i | \(0.176579\pi\) | |||||||
\(32\) | 0.939693 | − | 0.342020i | 0.166116 | − | 0.0604612i | ||||
\(33\) | −0.567331 | − | 3.21749i | −0.0987596 | − | 0.560094i | ||||
\(34\) | 0.225152 | − | 1.27690i | 0.0386133 | − | 0.218987i | ||||
\(35\) | −2.96512 | − | 1.07922i | −0.501198 | − | 0.182421i | ||||
\(36\) | 2.00943 | − | 1.68611i | 0.334905 | − | 0.281019i | ||||
\(37\) | 10.3150 | 1.69578 | 0.847889 | − | 0.530174i | \(-0.177873\pi\) | ||||
0.847889 | + | 0.530174i | \(0.177873\pi\) | |||||||
\(38\) | 1.87871 | + | 3.93325i | 0.304768 | + | 0.638057i | ||||
\(39\) | 10.2564 | 1.64234 | ||||||||
\(40\) | −0.766044 | + | 0.642788i | −0.121122 | + | 0.101634i | ||||
\(41\) | −10.3451 | − | 3.76531i | −1.61563 | − | 0.588042i | −0.633089 | − | 0.774079i | \(-0.718213\pi\) |
−0.982543 | + | 0.186037i | \(0.940436\pi\) | |||||||
\(42\) | 1.29932 | − | 7.36881i | 0.200490 | − | 1.13703i | ||||
\(43\) | −2.00132 | − | 11.3501i | −0.305199 | − | 1.73087i | −0.622566 | − | 0.782567i | \(-0.713910\pi\) |
0.317367 | − | 0.948303i | \(-0.397201\pi\) | |||||||
\(44\) | −1.29468 | + | 0.471226i | −0.195181 | + | 0.0710400i | ||||
\(45\) | −1.31156 | + | 2.27169i | −0.195516 | + | 0.338644i | ||||
\(46\) | −1.06250 | − | 1.84030i | −0.156656 | − | 0.271337i | ||||
\(47\) | 0.0585581 | + | 0.0491361i | 0.00854158 | + | 0.00716723i | 0.647048 | − | 0.762449i | \(-0.276003\pi\) |
−0.638507 | + | 0.769616i | \(0.720448\pi\) | |||||||
\(48\) | −1.81653 | − | 1.52425i | −0.262194 | − | 0.220007i | ||||
\(49\) | −1.47834 | − | 2.56055i | −0.211191 | − | 0.365793i | ||||
\(50\) | 0.500000 | − | 0.866025i | 0.0707107 | − | 0.122474i | ||||
\(51\) | −2.88922 | + | 1.05159i | −0.404572 | + | 0.147252i | ||||
\(52\) | −0.751065 | − | 4.25950i | −0.104154 | − | 0.590686i | ||||
\(53\) | 1.08002 | − | 6.12511i | 0.148352 | − | 0.841348i | −0.816262 | − | 0.577682i | \(-0.803957\pi\) |
0.964614 | − | 0.263666i | \(-0.0849316\pi\) | |||||||
\(54\) | 0.839788 | + | 0.305658i | 0.114281 | + | 0.0415948i | ||||
\(55\) | 1.05543 | − | 0.885615i | 0.142315 | − | 0.119416i | ||||
\(56\) | −3.15542 | −0.421661 | ||||||||
\(57\) | 5.84988 | − | 8.52164i | 0.774835 | − | 1.12872i | ||||
\(58\) | 0.130347 | 0.0171154 | ||||||||
\(59\) | −6.27104 | + | 5.26202i | −0.816419 | + | 0.685057i | −0.952131 | − | 0.305691i | \(-0.901112\pi\) |
0.135711 | + | 0.990748i | \(0.456668\pi\) | |||||||
\(60\) | 2.22831 | + | 0.811037i | 0.287673 | + | 0.104704i | ||||
\(61\) | 1.36244 | − | 7.72680i | 0.174443 | − | 0.989315i | −0.764342 | − | 0.644811i | \(-0.776936\pi\) |
0.938785 | − | 0.344504i | \(-0.111953\pi\) | |||||||
\(62\) | −0.0602055 | − | 0.341442i | −0.00764611 | − | 0.0433632i | ||||
\(63\) | −7.77790 | + | 2.83092i | −0.979923 | + | 0.356663i | ||||
\(64\) | −0.500000 | + | 0.866025i | −0.0625000 | + | 0.108253i | ||||
\(65\) | 2.16260 | + | 3.74574i | 0.268238 | + | 0.464602i | ||||
\(66\) | 2.50277 | + | 2.10007i | 0.308069 | + | 0.258501i | ||||
\(67\) | −0.789546 | − | 0.662508i | −0.0964584 | − | 0.0809382i | 0.593283 | − | 0.804994i | \(-0.297831\pi\) |
−0.689742 | + | 0.724056i | \(0.742276\pi\) | |||||||
\(68\) | 0.648300 | + | 1.12289i | 0.0786179 | + | 0.136170i | ||||
\(69\) | −2.51951 | + | 4.36392i | −0.303313 | + | 0.525354i | ||||
\(70\) | 2.96512 | − | 1.07922i | 0.354400 | − | 0.128991i | ||||
\(71\) | 2.02349 | + | 11.4758i | 0.240144 | + | 1.36192i | 0.831505 | + | 0.555517i | \(0.187480\pi\) |
−0.591361 | + | 0.806407i | \(0.701409\pi\) | |||||||
\(72\) | −0.455501 | + | 2.58328i | −0.0536813 | + | 0.304442i | ||||
\(73\) | 11.5052 | + | 4.18756i | 1.34659 | + | 0.490117i | 0.911881 | − | 0.410456i | \(-0.134630\pi\) |
0.434705 | + | 0.900573i | \(0.356853\pi\) | |||||||
\(74\) | −7.90176 | + | 6.63036i | −0.918561 | + | 0.770764i | ||||
\(75\) | −2.37131 | −0.273816 | ||||||||
\(76\) | −3.96742 | − | 1.80543i | −0.455094 | − | 0.207097i | ||||
\(77\) | 4.34745 | 0.495438 | ||||||||
\(78\) | −7.85688 | + | 6.59270i | −0.889616 | + | 0.746477i | ||||
\(79\) | −13.1650 | − | 4.79168i | −1.48118 | − | 0.539106i | −0.530070 | − | 0.847954i | \(-0.677834\pi\) |
−0.951111 | + | 0.308848i | \(0.900056\pi\) | |||||||
\(80\) | 0.173648 | − | 0.984808i | 0.0194145 | − | 0.110105i | ||||
\(81\) | −1.73450 | − | 9.83684i | −0.192722 | − | 1.09298i | ||||
\(82\) | 10.3451 | − | 3.76531i | 1.14242 | − | 0.415808i | ||||
\(83\) | −5.68946 | + | 9.85443i | −0.624499 | + | 1.08166i | 0.364138 | + | 0.931345i | \(0.381364\pi\) |
−0.988637 | + | 0.150319i | \(0.951970\pi\) | |||||||
\(84\) | 3.74124 | + | 6.48003i | 0.408203 | + | 0.707029i | ||||
\(85\) | −0.993253 | − | 0.833438i | −0.107733 | − | 0.0903990i | ||||
\(86\) | 8.82879 | + | 7.40823i | 0.952033 | + | 0.798850i | ||||
\(87\) | −0.154547 | − | 0.267683i | −0.0165691 | − | 0.0286986i | ||||
\(88\) | 0.688886 | − | 1.19319i | 0.0734355 | − | 0.127194i | ||||
\(89\) | 17.1195 | − | 6.23099i | 1.81466 | − | 0.660484i | 0.818348 | − | 0.574723i | \(-0.194890\pi\) |
0.996316 | − | 0.0857608i | \(-0.0273321\pi\) | |||||||
\(90\) | −0.455501 | − | 2.58328i | −0.0480140 | − | 0.272301i | ||||
\(91\) | −2.36992 | + | 13.4405i | −0.248436 | + | 1.40895i | ||||
\(92\) | 1.99684 | + | 0.726790i | 0.208185 | + | 0.0757731i | ||||
\(93\) | −0.629809 | + | 0.528473i | −0.0653082 | + | 0.0548000i | ||||
\(94\) | −0.0764422 | −0.00788441 | ||||||||
\(95\) | 4.34565 | + | 0.339611i | 0.445854 | + | 0.0348433i | ||||
\(96\) | 2.37131 | 0.242021 | ||||||||
\(97\) | −12.4265 | + | 10.4271i | −1.26172 | + | 1.05871i | −0.266227 | + | 0.963910i | \(0.585777\pi\) |
−0.995496 | + | 0.0948014i | \(0.969778\pi\) | |||||||
\(98\) | 2.77836 | + | 1.01124i | 0.280657 | + | 0.102151i | ||||
\(99\) | 0.627577 | − | 3.55916i | 0.0630738 | − | 0.357710i | ||||
\(100\) | 0.173648 | + | 0.984808i | 0.0173648 | + | 0.0984808i | ||||
\(101\) | −6.22381 | + | 2.26528i | −0.619293 | + | 0.225404i | −0.632564 | − | 0.774508i | \(-0.717998\pi\) |
0.0132716 | + | 0.999912i | \(0.495775\pi\) | |||||||
\(102\) | 1.53732 | − | 2.66272i | 0.152218 | − | 0.263649i | ||||
\(103\) | 6.17880 | + | 10.7020i | 0.608815 | + | 1.05450i | 0.991436 | + | 0.130594i | \(0.0416883\pi\) |
−0.382621 | + | 0.923906i | \(0.624978\pi\) | |||||||
\(104\) | 3.31330 | + | 2.78019i | 0.324896 | + | 0.272620i | ||||
\(105\) | −5.73192 | − | 4.80965i | −0.559378 | − | 0.469374i | ||||
\(106\) | 3.10980 | + | 5.38633i | 0.302050 | + | 0.523167i | ||||
\(107\) | −5.47740 | + | 9.48714i | −0.529521 | + | 0.917156i | 0.469887 | + | 0.882727i | \(0.344295\pi\) |
−0.999407 | + | 0.0344297i | \(0.989039\pi\) | |||||||
\(108\) | −0.839788 | + | 0.305658i | −0.0808087 | + | 0.0294120i | ||||
\(109\) | 1.29211 | + | 7.32792i | 0.123762 | + | 0.701887i | 0.982036 | + | 0.188695i | \(0.0604259\pi\) |
−0.858274 | + | 0.513192i | \(0.828463\pi\) | |||||||
\(110\) | −0.239248 | + | 1.35684i | −0.0228114 | + | 0.129370i | ||||
\(111\) | 22.9850 | + | 8.36586i | 2.18164 | + | 0.794052i | ||||
\(112\) | 2.41719 | − | 2.02826i | 0.228403 | − | 0.191653i | ||||
\(113\) | −11.6014 | −1.09137 | −0.545686 | − | 0.837990i | \(-0.683731\pi\) | ||||
−0.545686 | + | 0.837990i | \(0.683731\pi\) | |||||||
\(114\) | 0.996338 | + | 10.2882i | 0.0933156 | + | 0.963577i | ||||
\(115\) | −2.12499 | −0.198156 | ||||||||
\(116\) | −0.0998515 | + | 0.0837854i | −0.00927098 | + | 0.00777928i | ||||
\(117\) | 10.6613 | + | 3.88041i | 0.985642 | + | 0.358744i | ||||
\(118\) | 1.42153 | − | 8.06189i | 0.130862 | − | 0.742157i | ||||
\(119\) | −0.710449 | − | 4.02916i | −0.0651268 | − | 0.369352i | ||||
\(120\) | −2.22831 | + | 0.811037i | −0.203416 | + | 0.0740372i | ||||
\(121\) | 4.55087 | − | 7.88234i | 0.413716 | − | 0.716577i | ||||
\(122\) | 3.92300 | + | 6.79483i | 0.355172 | + | 0.615175i | ||||
\(123\) | −19.9982 | − | 16.7805i | −1.80318 | − | 1.51305i | ||||
\(124\) | 0.265595 | + | 0.222861i | 0.0238511 | + | 0.0200135i | ||||
\(125\) | −0.500000 | − | 0.866025i | −0.0447214 | − | 0.0774597i | ||||
\(126\) | 4.13853 | − | 7.16815i | 0.368690 | − | 0.638589i | ||||
\(127\) | −15.4096 | + | 5.60862i | −1.36738 | + | 0.497685i | −0.918327 | − | 0.395822i | \(-0.870460\pi\) |
−0.449050 | + | 0.893507i | \(0.648237\pi\) | |||||||
\(128\) | −0.173648 | − | 0.984808i | −0.0153485 | − | 0.0870455i | ||||
\(129\) | 4.74577 | − | 26.9146i | 0.417841 | − | 2.36970i | ||||
\(130\) | −4.06437 | − | 1.47931i | −0.356469 | − | 0.129744i | ||||
\(131\) | 8.53118 | − | 7.15851i | 0.745373 | − | 0.625442i | −0.188902 | − | 0.981996i | \(-0.560493\pi\) |
0.934275 | + | 0.356554i | \(0.116048\pi\) | |||||||
\(132\) | −3.26713 | −0.284367 | ||||||||
\(133\) | 9.81545 | + | 9.63503i | 0.851107 | + | 0.835463i | ||||
\(134\) | 1.03068 | 0.0890371 | ||||||||
\(135\) | 0.684602 | − | 0.574449i | 0.0589211 | − | 0.0494407i | ||||
\(136\) | −1.21840 | − | 0.443463i | −0.104477 | − | 0.0380266i | ||||
\(137\) | 1.27486 | − | 7.23011i | 0.108919 | − | 0.617710i | −0.880663 | − | 0.473743i | \(-0.842903\pi\) |
0.989582 | − | 0.143968i | \(-0.0459862\pi\) | |||||||
\(138\) | −0.875017 | − | 4.96247i | −0.0744864 | − | 0.422433i | ||||
\(139\) | −11.0992 | + | 4.03978i | −0.941422 | + | 0.342650i | −0.766727 | − | 0.641973i | \(-0.778116\pi\) |
−0.174695 | + | 0.984623i | \(0.555894\pi\) | |||||||
\(140\) | −1.57771 | + | 2.73267i | −0.133341 | + | 0.230953i | ||||
\(141\) | 0.0906342 | + | 0.156983i | 0.00763277 | + | 0.0132203i | ||||
\(142\) | −8.92657 | − | 7.49028i | −0.749101 | − | 0.628570i | ||||
\(143\) | −4.56497 | − | 3.83047i | −0.381742 | − | 0.320320i | ||||
\(144\) | −1.31156 | − | 2.27169i | −0.109297 | − | 0.189308i | ||||
\(145\) | 0.0651735 | − | 0.112884i | 0.00541236 | − | 0.00937448i | ||||
\(146\) | −11.5052 | + | 4.18756i | −0.952180 | + | 0.346565i | ||||
\(147\) | −1.21748 | − | 6.90468i | −0.100416 | − | 0.569488i | ||||
\(148\) | 1.79118 | − | 10.1583i | 0.147234 | − | 0.835007i | ||||
\(149\) | −3.30256 | − | 1.20203i | −0.270556 | − | 0.0984745i | 0.203179 | − | 0.979142i | \(-0.434873\pi\) |
−0.473736 | + | 0.880667i | \(0.657095\pi\) | |||||||
\(150\) | 1.81653 | − | 1.52425i | 0.148319 | − | 0.124455i | ||||
\(151\) | −0.212620 | −0.0173028 | −0.00865139 | − | 0.999963i | \(-0.502754\pi\) | ||||
−0.00865139 | + | 0.999963i | \(0.502754\pi\) | |||||||
\(152\) | 4.19973 | − | 1.16717i | 0.340643 | − | 0.0946700i | ||||
\(153\) | −3.40114 | −0.274966 | ||||||||
\(154\) | −3.33034 | + | 2.79449i | −0.268366 | + | 0.225186i | ||||
\(155\) | −0.325801 | − | 0.118582i | −0.0261689 | − | 0.00952471i | ||||
\(156\) | 1.78101 | − | 10.1006i | 0.142595 | − | 0.808696i | ||||
\(157\) | 1.33492 | + | 7.57072i | 0.106538 | + | 0.604210i | 0.990595 | + | 0.136829i | \(0.0436911\pi\) |
−0.884056 | + | 0.467381i | \(0.845198\pi\) | |||||||
\(158\) | 13.1650 | − | 4.79168i | 1.04735 | − | 0.381205i | ||||
\(159\) | 7.37431 | − | 12.7727i | 0.584821 | − | 1.01294i | ||||
\(160\) | 0.500000 | + | 0.866025i | 0.0395285 | + | 0.0684653i | ||||
\(161\) | −5.13651 | − | 4.31004i | −0.404814 | − | 0.339679i | ||||
\(162\) | 7.65170 | + | 6.42054i | 0.601174 | + | 0.504445i | ||||
\(163\) | 3.66350 | + | 6.34537i | 0.286948 | + | 0.497008i | 0.973080 | − | 0.230469i | \(-0.0740261\pi\) |
−0.686132 | + | 0.727477i | \(0.740693\pi\) | |||||||
\(164\) | −5.50451 | + | 9.53409i | −0.429830 | + | 0.744487i | ||||
\(165\) | 3.07010 | − | 1.11742i | 0.239007 | − | 0.0869913i | ||||
\(166\) | −1.97593 | − | 11.2060i | −0.153362 | − | 0.869758i | ||||
\(167\) | −2.75126 | + | 15.6032i | −0.212899 | + | 1.20741i | 0.671617 | + | 0.740899i | \(0.265600\pi\) |
−0.884515 | + | 0.466511i | \(0.845511\pi\) | |||||||
\(168\) | −7.03124 | − | 2.55916i | −0.542472 | − | 0.197444i | ||||
\(169\) | 4.37215 | − | 3.66867i | 0.336319 | − | 0.282205i | ||||
\(170\) | 1.29660 | 0.0994446 | ||||||||
\(171\) | 9.30491 | − | 6.64483i | 0.711564 | − | 0.508143i | ||||
\(172\) | −11.5252 | −0.878786 | ||||||||
\(173\) | 12.7471 | − | 10.6961i | 0.969147 | − | 0.813211i | −0.0132697 | − | 0.999912i | \(-0.504224\pi\) |
0.982417 | + | 0.186701i | \(0.0597796\pi\) | |||||||
\(174\) | 0.290453 | + | 0.105716i | 0.0220192 | + | 0.00801432i | ||||
\(175\) | 0.547933 | − | 3.10748i | 0.0414198 | − | 0.234904i | ||||
\(176\) | 0.239248 | + | 1.35684i | 0.0180340 | + | 0.102276i | ||||
\(177\) | −18.2415 | + | 6.63936i | −1.37111 | + | 0.499045i | ||||
\(178\) | −9.10910 | + | 15.7774i | −0.682756 | + | 1.18257i | ||||
\(179\) | 2.28553 | + | 3.95866i | 0.170829 | + | 0.295884i | 0.938710 | − | 0.344708i | \(-0.112022\pi\) |
−0.767881 | + | 0.640592i | \(0.778689\pi\) | |||||||
\(180\) | 2.00943 | + | 1.68611i | 0.149774 | + | 0.125675i | ||||
\(181\) | 1.29338 | + | 1.08527i | 0.0961360 | + | 0.0806677i | 0.689589 | − | 0.724201i | \(-0.257791\pi\) |
−0.593453 | + | 0.804869i | \(0.702236\pi\) | |||||||
\(182\) | −6.82392 | − | 11.8194i | −0.505823 | − | 0.876111i | ||||
\(183\) | 9.30266 | − | 16.1127i | 0.687673 | − | 1.19108i | ||||
\(184\) | −1.99684 | + | 0.726790i | −0.147209 | + | 0.0535796i | ||||
\(185\) | 1.79118 | + | 10.1583i | 0.131690 | + | 0.746853i | ||||
\(186\) | 0.142766 | − | 0.809667i | 0.0104681 | − | 0.0593677i | ||||
\(187\) | 1.67868 | + | 0.610991i | 0.122758 | + | 0.0446801i | ||||
\(188\) | 0.0585581 | − | 0.0491361i | 0.00427079 | − | 0.00358362i | ||||
\(189\) | 2.81995 | 0.205121 | ||||||||
\(190\) | −3.54726 | + | 2.53317i | −0.257345 | + | 0.183776i | ||||
\(191\) | 11.2207 | 0.811901 | 0.405951 | − | 0.913895i | \(-0.366941\pi\) | ||||
0.405951 | + | 0.913895i | \(0.366941\pi\) | |||||||
\(192\) | −1.81653 | + | 1.52425i | −0.131097 | + | 0.110003i | ||||
\(193\) | 20.1920 | + | 7.34927i | 1.45345 | + | 0.529012i | 0.943552 | − | 0.331223i | \(-0.107461\pi\) |
0.509897 | + | 0.860236i | \(0.329684\pi\) | |||||||
\(194\) | 2.81687 | − | 15.9752i | 0.202239 | − | 1.14696i | ||||
\(195\) | 1.78101 | + | 10.1006i | 0.127541 | + | 0.723319i | ||||
\(196\) | −2.77836 | + | 1.01124i | −0.198455 | + | 0.0722315i | ||||
\(197\) | −7.63921 | + | 13.2315i | −0.544271 | + | 0.942705i | 0.454381 | + | 0.890807i | \(0.349860\pi\) |
−0.998652 | + | 0.0518981i | \(0.983473\pi\) | |||||||
\(198\) | 1.80704 | + | 3.12988i | 0.128420 | + | 0.222431i | ||||
\(199\) | 0.542940 | + | 0.455581i | 0.0384880 | + | 0.0322953i | 0.661829 | − | 0.749655i | \(-0.269781\pi\) |
−0.623341 | + | 0.781950i | \(0.714225\pi\) | |||||||
\(200\) | −0.766044 | − | 0.642788i | −0.0541675 | − | 0.0454519i | ||||
\(201\) | −1.22203 | − | 2.11662i | −0.0861955 | − | 0.149295i | ||||
\(202\) | 3.31162 | − | 5.73590i | 0.233005 | − | 0.403576i | ||||
\(203\) | 0.386495 | − | 0.140673i | 0.0271266 | − | 0.00987328i | ||||
\(204\) | 0.533906 | + | 3.02793i | 0.0373809 | + | 0.211998i | ||||
\(205\) | 1.91170 | − | 10.8418i | 0.133519 | − | 0.757222i | ||||
\(206\) | −11.6123 | − | 4.22655i | −0.809071 | − | 0.294478i | ||||
\(207\) | −4.27002 | + | 3.58298i | −0.296787 | + | 0.249034i | ||||
\(208\) | −4.32521 | −0.299899 | ||||||||
\(209\) | −5.78627 | + | 1.60809i | −0.400244 | + | 0.111234i | ||||
\(210\) | 7.48249 | 0.516341 | ||||||||
\(211\) | 10.7852 | − | 9.04988i | 0.742486 | − | 0.623020i | −0.191018 | − | 0.981586i | \(-0.561179\pi\) |
0.933504 | + | 0.358567i | \(0.116735\pi\) | |||||||
\(212\) | −5.84451 | − | 2.12723i | −0.401403 | − | 0.146099i | ||||
\(213\) | −4.79832 | + | 27.2126i | −0.328776 | + | 1.86458i | ||||
\(214\) | −1.90228 | − | 10.7884i | −0.130037 | − | 0.737478i | ||||
\(215\) | 10.8301 | − | 3.94184i | 0.738608 | − | 0.268831i | ||||
\(216\) | 0.446842 | − | 0.773953i | 0.0304038 | − | 0.0526608i | ||||
\(217\) | −0.547007 | − | 0.947444i | −0.0371333 | − | 0.0643167i | ||||
\(218\) | −5.70011 | − | 4.78296i | −0.386060 | − | 0.323943i | ||||
\(219\) | 22.2409 | + | 18.6623i | 1.50290 | + | 1.26108i | ||||
\(220\) | −0.688886 | − | 1.19319i | −0.0464447 | − | 0.0804445i | ||||
\(221\) | −2.80403 | + | 4.85673i | −0.188620 | + | 0.326699i | ||||
\(222\) | −22.9850 | + | 8.36586i | −1.54265 | + | 0.561479i | ||||
\(223\) | 2.03461 | + | 11.5389i | 0.136248 | + | 0.772699i | 0.973983 | + | 0.226622i | \(0.0727683\pi\) |
−0.837735 | + | 0.546077i | \(0.816121\pi\) | |||||||
\(224\) | −0.547933 | + | 3.10748i | −0.0366103 | + | 0.207627i | ||||
\(225\) | −2.46493 | − | 0.897162i | −0.164329 | − | 0.0598108i | ||||
\(226\) | 8.88722 | − | 7.45727i | 0.591169 | − | 0.496050i | ||||
\(227\) | −10.2265 | −0.678758 | −0.339379 | − | 0.940650i | \(-0.610217\pi\) | ||||
−0.339379 | + | 0.940650i | \(0.610217\pi\) | |||||||
\(228\) | −7.37636 | − | 7.24077i | −0.488511 | − | 0.479532i | ||||
\(229\) | −5.05689 | −0.334169 | −0.167084 | − | 0.985943i | \(-0.553435\pi\) | ||||
−0.167084 | + | 0.985943i | \(0.553435\pi\) | |||||||
\(230\) | 1.62784 | − | 1.36592i | 0.107336 | − | 0.0900660i | ||||
\(231\) | 9.68744 | + | 3.52594i | 0.637387 | + | 0.231990i | ||||
\(232\) | 0.0226345 | − | 0.128367i | 0.00148603 | − | 0.00842768i | ||||
\(233\) | −1.26042 | − | 7.14818i | −0.0825727 | − | 0.468293i | −0.997854 | − | 0.0654778i | \(-0.979143\pi\) |
0.915281 | − | 0.402815i | \(-0.131968\pi\) | |||||||
\(234\) | −10.6613 | + | 3.88041i | −0.696954 | + | 0.253671i | ||||
\(235\) | −0.0382211 | + | 0.0662008i | −0.00249327 | + | 0.00431847i | ||||
\(236\) | 4.09313 | + | 7.08951i | 0.266440 | + | 0.461488i | ||||
\(237\) | −25.4495 | − | 21.3546i | −1.65312 | − | 1.38713i | ||||
\(238\) | 3.13413 | + | 2.62985i | 0.203155 | + | 0.170468i | ||||
\(239\) | −7.98657 | − | 13.8331i | −0.516608 | − | 0.894792i | −0.999814 | − | 0.0192850i | \(-0.993861\pi\) |
0.483206 | − | 0.875507i | \(-0.339472\pi\) | |||||||
\(240\) | 1.18566 | − | 2.05362i | 0.0765338 | − | 0.132560i | ||||
\(241\) | −20.8564 | + | 7.59111i | −1.34348 | + | 0.488986i | −0.910906 | − | 0.412613i | \(-0.864616\pi\) |
−0.432572 | + | 0.901599i | \(0.642394\pi\) | |||||||
\(242\) | 1.58050 | + | 8.96347i | 0.101598 | + | 0.576194i | ||||
\(243\) | 3.64748 | − | 20.6859i | 0.233986 | − | 1.32700i | ||||
\(244\) | −7.37283 | − | 2.68349i | −0.471997 | − | 0.171793i | ||||
\(245\) | 2.26494 | − | 1.90051i | 0.144702 | − | 0.121419i | ||||
\(246\) | 26.1058 | 1.66445 | ||||||||
\(247\) | −1.81729 | − | 18.7654i | −0.115632 | − | 1.19401i | ||||
\(248\) | −0.346710 | −0.0220161 | ||||||||
\(249\) | −20.6702 | + | 17.3443i | −1.30992 | + | 1.09915i | ||||
\(250\) | 0.939693 | + | 0.342020i | 0.0594314 | + | 0.0216313i | ||||
\(251\) | 3.91622 | − | 22.2100i | 0.247190 | − | 1.40188i | −0.568162 | − | 0.822917i | \(-0.692345\pi\) |
0.815352 | − | 0.578966i | \(-0.196544\pi\) | |||||||
\(252\) | 1.43730 | + | 8.15132i | 0.0905412 | + | 0.513485i | ||||
\(253\) | 2.75119 | − | 1.00135i | 0.172966 | − | 0.0629544i | ||||
\(254\) | 8.19925 | − | 14.2015i | 0.514467 | − | 0.891083i | ||||
\(255\) | −1.53732 | − | 2.66272i | −0.0962708 | − | 0.166746i | ||||
\(256\) | 0.766044 | + | 0.642788i | 0.0478778 | + | 0.0401742i | ||||
\(257\) | 8.20783 | + | 6.88718i | 0.511990 | + | 0.429611i | 0.861829 | − | 0.507199i | \(-0.169319\pi\) |
−0.349839 | + | 0.936810i | \(0.613764\pi\) | |||||||
\(258\) | 13.6649 | + | 23.6683i | 0.850739 | + | 1.47352i | ||||
\(259\) | −16.2741 | + | 28.1876i | −1.01122 | + | 1.75149i | ||||
\(260\) | 4.06437 | − | 1.47931i | 0.252061 | − | 0.0917428i | ||||
\(261\) | −0.0593732 | − | 0.336722i | −0.00367511 | − | 0.0208426i | ||||
\(262\) | −1.93386 | + | 10.9675i | −0.119474 | + | 0.677573i | ||||
\(263\) | −25.0584 | − | 9.12051i | −1.54517 | − | 0.562395i | −0.577890 | − | 0.816115i | \(-0.696124\pi\) |
−0.967278 | + | 0.253720i | \(0.918346\pi\) | |||||||
\(264\) | 2.50277 | − | 2.10007i | 0.154035 | − | 0.129250i | ||||
\(265\) | 6.21960 | 0.382067 | ||||||||
\(266\) | −13.7123 | − | 1.07161i | −0.840758 | − | 0.0657049i | ||||
\(267\) | 43.2011 | 2.64386 | ||||||||
\(268\) | −0.789546 | + | 0.662508i | −0.0482292 | + | 0.0404691i | ||||
\(269\) | −1.34180 | − | 0.488375i | −0.0818110 | − | 0.0297768i | 0.300790 | − | 0.953690i | \(-0.402750\pi\) |
−0.382601 | + | 0.923913i | \(0.624972\pi\) | |||||||
\(270\) | −0.155187 | + | 0.880107i | −0.00944436 | + | 0.0535616i | ||||
\(271\) | 1.27969 | + | 7.25749i | 0.0777357 | + | 0.440861i | 0.998689 | + | 0.0511882i | \(0.0163008\pi\) |
−0.920953 | + | 0.389673i | \(0.872588\pi\) | |||||||
\(272\) | 1.21840 | − | 0.443463i | 0.0738766 | − | 0.0268889i | ||||
\(273\) | −16.1817 | + | 28.0275i | −0.979359 | + | 1.69630i | ||||
\(274\) | 3.67083 | + | 6.35806i | 0.221763 | + | 0.384104i | ||||
\(275\) | 1.05543 | + | 0.885615i | 0.0636451 | + | 0.0534046i | ||||
\(276\) | 3.86011 | + | 3.23902i | 0.232351 | + | 0.194966i | ||||
\(277\) | 1.26266 | + | 2.18698i | 0.0758656 | + | 0.131403i | 0.901462 | − | 0.432857i | \(-0.142495\pi\) |
−0.825597 | + | 0.564261i | \(0.809161\pi\) | |||||||
\(278\) | 5.90576 | − | 10.2291i | 0.354204 | − | 0.613500i | ||||
\(279\) | −0.854616 | + | 0.311055i | −0.0511645 | + | 0.0186224i | ||||
\(280\) | −0.547933 | − | 3.10748i | −0.0327453 | − | 0.185708i | ||||
\(281\) | 2.99175 | − | 16.9671i | 0.178473 | − | 1.01217i | −0.755586 | − | 0.655050i | \(-0.772648\pi\) |
0.934058 | − | 0.357120i | \(-0.116241\pi\) | |||||||
\(282\) | −0.170336 | − | 0.0619974i | −0.0101434 | − | 0.00369189i | ||||
\(283\) | 21.6184 | − | 18.1400i | 1.28508 | − | 1.07831i | 0.292556 | − | 0.956248i | \(-0.405494\pi\) |
0.992523 | − | 0.122061i | \(-0.0389502\pi\) | |||||||
\(284\) | 11.6528 | 0.691467 | ||||||||
\(285\) | 9.40800 | + | 4.28124i | 0.557282 | + | 0.253599i | ||||
\(286\) | 5.95915 | 0.352372 | ||||||||
\(287\) | 26.6109 | − | 22.3292i | 1.57079 | − | 1.31805i | ||||
\(288\) | 2.46493 | + | 0.897162i | 0.145248 | + | 0.0528658i | ||||
\(289\) | −2.66009 | + | 15.0861i | −0.156476 | + | 0.887418i | ||||
\(290\) | 0.0226345 | + | 0.128367i | 0.00132914 | + | 0.00753795i | ||||
\(291\) | −36.1469 | + | 13.1564i | −2.11897 | + | 0.771241i | ||||
\(292\) | 6.12181 | − | 10.6033i | 0.358252 | − | 0.620510i | ||||
\(293\) | 6.30904 | + | 10.9276i | 0.368578 | + | 0.638396i | 0.989343 | − | 0.145601i | \(-0.0465115\pi\) |
−0.620766 | + | 0.783996i | \(0.713178\pi\) | |||||||
\(294\) | 5.37089 | + | 4.50671i | 0.313237 | + | 0.262837i | ||||
\(295\) | −6.27104 | − | 5.26202i | −0.365114 | − | 0.306367i | ||||
\(296\) | 5.15751 | + | 8.93306i | 0.299774 | + | 0.519224i | ||||
\(297\) | −0.615647 | + | 1.06633i | −0.0357234 | + | 0.0618748i | ||||
\(298\) | 3.30256 | − | 1.20203i | 0.191312 | − | 0.0696320i | ||||
\(299\) | 1.59601 | + | 9.05140i | 0.0922994 | + | 0.523456i | ||||
\(300\) | −0.411774 | + | 2.33529i | −0.0237738 | + | 0.134828i | ||||
\(301\) | 34.1735 | + | 12.4382i | 1.96973 | + | 0.716923i | ||||
\(302\) | 0.162877 | − | 0.136670i | 0.00937249 | − | 0.00786445i | ||||
\(303\) | −15.7058 | −0.902274 | ||||||||
\(304\) | −2.46694 | + | 3.59364i | −0.141488 | + | 0.206109i | ||||
\(305\) | 7.84600 | 0.449261 | ||||||||
\(306\) | 2.60543 | − | 2.18621i | 0.148942 | − | 0.124978i | ||||
\(307\) | −8.51802 | − | 3.10031i | −0.486149 | − | 0.176944i | 0.0873047 | − | 0.996182i | \(-0.472175\pi\) |
−0.573454 | + | 0.819238i | \(0.694397\pi\) | |||||||
\(308\) | 0.754926 | − | 4.28140i | 0.0430159 | − | 0.243955i | ||||
\(309\) | 5.08854 | + | 28.8586i | 0.289477 | + | 1.64171i | ||||
\(310\) | 0.325801 | − | 0.118582i | 0.0185042 | − | 0.00673499i | ||||
\(311\) | 10.8562 | − | 18.8035i | 0.615599 | − | 1.06625i | −0.374680 | − | 0.927154i | \(-0.622247\pi\) |
0.990279 | − | 0.139095i | \(-0.0444192\pi\) | |||||||
\(312\) | 5.12821 | + | 8.88232i | 0.290328 | + | 0.502863i | ||||
\(313\) | −7.69570 | − | 6.45746i | −0.434987 | − | 0.364997i | 0.398843 | − | 0.917019i | \(-0.369412\pi\) |
−0.833829 | + | 0.552022i | \(0.813856\pi\) | |||||||
\(314\) | −5.88898 | − | 4.94144i | −0.332334 | − | 0.278862i | ||||
\(315\) | −4.13853 | − | 7.16815i | −0.233180 | − | 0.403879i | ||||
\(316\) | −7.00496 | + | 12.1330i | −0.394060 | + | 0.682532i | ||||
\(317\) | 1.98130 | − | 0.721135i | 0.111281 | − | 0.0405030i | −0.285780 | − | 0.958295i | \(-0.592253\pi\) |
0.397061 | + | 0.917792i | \(0.370030\pi\) | |||||||
\(318\) | 2.56107 | + | 14.5245i | 0.143618 | + | 0.814496i | ||||
\(319\) | −0.0311852 | + | 0.176860i | −0.00174604 | + | 0.00990226i | ||||
\(320\) | −0.939693 | − | 0.342020i | −0.0525304 | − | 0.0191195i | ||||
\(321\) | −19.8997 | + | 16.6979i | −1.11070 | + | 0.931984i | ||||
\(322\) | 6.70524 | 0.373668 | ||||||||
\(323\) | 2.43594 | + | 5.09985i | 0.135539 | + | 0.283763i | ||||
\(324\) | −9.98859 | −0.554921 | ||||||||
\(325\) | −3.31330 | + | 2.78019i | −0.183789 | + | 0.154217i | ||||
\(326\) | −6.88513 | − | 2.50598i | −0.381332 | − | 0.138794i | ||||
\(327\) | −3.06400 | + | 17.3768i | −0.169439 | + | 0.960939i | ||||
\(328\) | −1.91170 | − | 10.8418i | −0.105556 | − | 0.598636i | ||||
\(329\) | −0.226661 | + | 0.0824977i | −0.0124962 | + | 0.00454824i | ||||
\(330\) | −1.63356 | + | 2.82942i | −0.0899248 | + | 0.155754i | ||||
\(331\) | 1.72204 | + | 2.98267i | 0.0946521 | + | 0.163942i | 0.909463 | − | 0.415784i | \(-0.136493\pi\) |
−0.814811 | + | 0.579726i | \(0.803159\pi\) | |||||||
\(332\) | 8.71676 | + | 7.31423i | 0.478394 | + | 0.401420i | ||||
\(333\) | 20.7273 | + | 17.3923i | 1.13585 | + | 0.953091i | ||||
\(334\) | −7.92194 | − | 13.7212i | −0.433469 | − | 0.750791i | ||||
\(335\) | 0.515340 | − | 0.892594i | 0.0281560 | − | 0.0487676i | ||||
\(336\) | 7.03124 | − | 2.55916i | 0.383586 | − | 0.139614i | ||||
\(337\) | −4.49031 | − | 25.4658i | −0.244603 | − | 1.38721i | −0.821414 | − | 0.570332i | \(-0.806814\pi\) |
0.576811 | − | 0.816877i | \(-0.304297\pi\) | |||||||
\(338\) | −0.991085 | + | 5.62072i | −0.0539079 | + | 0.305727i | ||||
\(339\) | −25.8516 | − | 9.40920i | −1.40406 | − | 0.511038i | ||||
\(340\) | −0.993253 | + | 0.833438i | −0.0538667 | + | 0.0451995i | ||||
\(341\) | 0.477687 | 0.0258682 | ||||||||
\(342\) | −2.85676 | + | 11.0713i | −0.154476 | + | 0.598668i | ||||
\(343\) | −12.7584 | −0.688889 | ||||||||
\(344\) | 8.82879 | − | 7.40823i | 0.476016 | − | 0.399425i | ||||
\(345\) | −4.73513 | − | 1.72345i | −0.254931 | − | 0.0927872i | ||||
\(346\) | −2.88954 | + | 16.3874i | −0.155343 | + | 0.880992i | ||||
\(347\) | 0.438152 | + | 2.48488i | 0.0235212 | + | 0.133395i | 0.994307 | − | 0.106552i | \(-0.0339810\pi\) |
−0.970786 | + | 0.239947i | \(0.922870\pi\) | |||||||
\(348\) | −0.290453 | + | 0.105716i | −0.0155699 | + | 0.00566698i | ||||
\(349\) | −1.83973 | + | 3.18650i | −0.0984782 | + | 0.170569i | −0.911055 | − | 0.412285i | \(-0.864731\pi\) |
0.812577 | + | 0.582854i | \(0.198064\pi\) | |||||||
\(350\) | 1.57771 | + | 2.73267i | 0.0843321 | + | 0.146068i | ||||
\(351\) | −2.96105 | − | 2.48461i | −0.158049 | − | 0.132619i | ||||
\(352\) | −1.05543 | − | 0.885615i | −0.0562548 | − | 0.0472034i | ||||
\(353\) | −1.39818 | − | 2.42172i | −0.0744175 | − | 0.128895i | 0.826415 | − | 0.563061i | \(-0.190376\pi\) |
−0.900833 | + | 0.434166i | \(0.857043\pi\) | |||||||
\(354\) | 9.70609 | − | 16.8114i | 0.515873 | − | 0.893518i | ||||
\(355\) | −10.9501 | + | 3.98549i | −0.581169 | + | 0.211528i | ||||
\(356\) | −3.16356 | − | 17.9414i | −0.167668 | − | 0.950893i | ||||
\(357\) | 1.68470 | − | 9.55440i | 0.0891637 | − | 0.505672i | ||||
\(358\) | −4.29540 | − | 1.56340i | −0.227019 | − | 0.0826281i | ||||
\(359\) | 15.4284 | − | 12.9460i | 0.814280 | − | 0.683262i | −0.137345 | − | 0.990523i | \(-0.543857\pi\) |
0.951625 | + | 0.307261i | \(0.0994125\pi\) | |||||||
\(360\) | −2.62313 | −0.138251 | ||||||||
\(361\) | −16.6279 | − | 9.19314i | −0.875151 | − | 0.483849i | ||||
\(362\) | −1.68838 | −0.0887395 | ||||||||
\(363\) | 16.5336 | − | 13.8733i | 0.867789 | − | 0.728162i | ||||
\(364\) | 12.8248 | + | 4.66784i | 0.672201 | + | 0.244661i | ||||
\(365\) | −2.12608 | + | 12.0576i | −0.111284 | + | 0.631124i | ||||
\(366\) | 3.23078 | + | 18.3227i | 0.168876 | + | 0.957741i | ||||
\(367\) | 4.24866 | − | 1.54639i | 0.221778 | − | 0.0807207i | −0.228741 | − | 0.973487i | \(-0.573461\pi\) |
0.450520 | + | 0.892767i | \(0.351239\pi\) | |||||||
\(368\) | 1.06250 | − | 1.84030i | 0.0553864 | − | 0.0959321i | ||||
\(369\) | −14.4390 | − | 25.0091i | −0.751666 | − | 1.30192i | ||||
\(370\) | −7.90176 | − | 6.63036i | −0.410793 | − | 0.344696i | ||||
\(371\) | 15.0340 | + | 12.6150i | 0.780524 | + | 0.654938i | ||||
\(372\) | 0.411079 | + | 0.712009i | 0.0213134 | + | 0.0369160i | ||||
\(373\) | −11.6352 | + | 20.1528i | −0.602449 | + | 1.04347i | 0.390000 | + | 0.920815i | \(0.372475\pi\) |
−0.992449 | + | 0.122657i | \(0.960858\pi\) | |||||||
\(374\) | −1.67868 | + | 0.610991i | −0.0868027 | + | 0.0315936i | ||||
\(375\) | −0.411774 | − | 2.33529i | −0.0212639 | − | 0.120594i | ||||
\(376\) | −0.0132740 | + | 0.0752808i | −0.000684556 | + | 0.00388231i | ||||
\(377\) | −0.529778 | − | 0.192823i | −0.0272849 | − | 0.00993091i | ||||
\(378\) | −2.16021 | + | 1.81263i | −0.111109 | + | 0.0932315i | ||||
\(379\) | 9.34667 | 0.480106 | 0.240053 | − | 0.970760i | \(-0.422835\pi\) | ||||
0.240053 | + | 0.970760i | \(0.422835\pi\) | |||||||
\(380\) | 1.08907 | − | 4.22066i | 0.0558679 | − | 0.216515i | ||||
\(381\) | −38.8860 | −1.99219 | ||||||||
\(382\) | −8.59555 | + | 7.21252i | −0.439787 | + | 0.369025i | ||||
\(383\) | −30.8559 | − | 11.2306i | −1.57666 | − | 0.573858i | −0.602187 | − | 0.798355i | \(-0.705704\pi\) |
−0.974475 | + | 0.224497i | \(0.927926\pi\) | |||||||
\(384\) | 0.411774 | − | 2.33529i | 0.0210133 | − | 0.119172i | ||||
\(385\) | 0.754926 | + | 4.28140i | 0.0384746 | + | 0.218200i | ||||
\(386\) | −20.1920 | + | 7.34927i | −1.02774 | + | 0.374068i | ||||
\(387\) | 15.1160 | − | 26.1817i | 0.768389 | − | 1.33089i | ||||
\(388\) | 8.11084 | + | 14.0484i | 0.411766 | + | 0.713199i | ||||
\(389\) | 8.17650 | + | 6.86090i | 0.414565 | + | 0.347862i | 0.826091 | − | 0.563537i | \(-0.190560\pi\) |
−0.411526 | + | 0.911398i | \(0.635004\pi\) | |||||||
\(390\) | −7.85688 | − | 6.59270i | −0.397848 | − | 0.333834i | ||||
\(391\) | −1.37763 | − | 2.38613i | −0.0696698 | − | 0.120672i | ||||
\(392\) | 1.47834 | − | 2.56055i | 0.0746673 | − | 0.129327i | ||||
\(393\) | 24.8159 | − | 9.03225i | 1.25180 | − | 0.455617i | ||||
\(394\) | −2.65307 | − | 15.0463i | −0.133660 | − | 0.758022i | ||||
\(395\) | 2.43280 | − | 13.7971i | 0.122407 | − | 0.694207i | ||||
\(396\) | −3.39612 | − | 1.23608i | −0.170661 | − | 0.0621156i | ||||
\(397\) | 7.70354 | − | 6.46404i | 0.386630 | − | 0.324421i | −0.428669 | − | 0.903462i | \(-0.641017\pi\) |
0.815299 | + | 0.579041i | \(0.196573\pi\) | |||||||
\(398\) | −0.708758 | −0.0355268 | ||||||||
\(399\) | 14.0574 | + | 29.4305i | 0.703753 | + | 1.47337i | ||||
\(400\) | 1.00000 | 0.0500000 | ||||||||
\(401\) | 9.25312 | − | 7.76429i | 0.462079 | − | 0.387730i | −0.381817 | − | 0.924238i | \(-0.624701\pi\) |
0.843895 | + | 0.536508i | \(0.180257\pi\) | |||||||
\(402\) | 2.29667 | + | 0.835919i | 0.114547 | + | 0.0416918i | ||||
\(403\) | −0.260401 | + | 1.47681i | −0.0129715 | + | 0.0735651i | ||||
\(404\) | 1.15011 | + | 6.52262i | 0.0572203 | + | 0.324513i | ||||
\(405\) | 9.38620 | − | 3.41630i | 0.466404 | − | 0.169757i | ||||
\(406\) | −0.205650 | + | 0.356196i | −0.0102062 | + | 0.0176777i | ||||
\(407\) | −7.10587 | − | 12.3077i | −0.352225 | − | 0.610071i | ||||
\(408\) | −2.35531 | − | 1.97634i | −0.116605 | − | 0.0978435i | ||||
\(409\) | −30.2942 | − | 25.4198i | −1.49795 | − | 1.25693i | −0.883911 | − | 0.467655i | \(-0.845099\pi\) |
−0.614040 | − | 0.789275i | \(-0.710457\pi\) | |||||||
\(410\) | 5.50451 | + | 9.53409i | 0.271848 | + | 0.470855i | ||||
\(411\) | 8.70468 | − | 15.0769i | 0.429370 | − | 0.743691i | ||||
\(412\) | 11.6123 | − | 4.22655i | 0.572099 | − | 0.208227i | ||||
\(413\) | −4.48552 | − | 25.4386i | −0.220718 | − | 1.25175i | ||||
\(414\) | 0.967936 | − | 5.48944i | 0.0475715 | − | 0.269791i | ||||
\(415\) | −10.6927 | − | 3.89182i | −0.524883 | − | 0.191042i | ||||
\(416\) | 3.31330 | − | 2.78019i | 0.162448 | − | 0.136310i | ||||
\(417\) | −28.0088 | −1.37160 | ||||||||
\(418\) | 3.39887 | − | 4.95121i | 0.166244 | − | 0.242172i | ||||
\(419\) | 28.5326 | 1.39391 | 0.696954 | − | 0.717116i | \(-0.254538\pi\) | ||||
0.696954 | + | 0.717116i | \(0.254538\pi\) | |||||||
\(420\) | −5.73192 | + | 4.80965i | −0.279689 | + | 0.234687i | ||||
\(421\) | −1.91607 | − | 0.697393i | −0.0933836 | − | 0.0339888i | 0.294906 | − | 0.955526i | \(-0.404712\pi\) |
−0.388289 | + | 0.921537i | \(0.626934\pi\) | |||||||
\(422\) | −2.44481 | + | 13.8652i | −0.119012 | + | 0.674949i | ||||
\(423\) | 0.0348195 | + | 0.197471i | 0.00169298 | + | 0.00960138i | ||||
\(424\) | 5.84451 | − | 2.12723i | 0.283834 | − | 0.103307i | ||||
\(425\) | 0.648300 | − | 1.12289i | 0.0314472 | − | 0.0544681i | ||||
\(426\) | −13.8162 | − | 23.9304i | −0.669398 | − | 1.15943i | ||||
\(427\) | 18.9653 | + | 15.9138i | 0.917794 | + | 0.770121i | ||||
\(428\) | 8.39187 | + | 7.04161i | 0.405636 | + | 0.340369i | ||||
\(429\) | −7.06551 | − | 12.2378i | −0.341126 | − | 0.590847i | ||||
\(430\) | −5.76258 | + | 9.98109i | −0.277896 | + | 0.481331i | ||||
\(431\) | −12.7523 | + | 4.64147i | −0.614258 | + | 0.223572i | −0.630365 | − | 0.776299i | \(-0.717095\pi\) |
0.0161074 | + | 0.999870i | \(0.494873\pi\) | |||||||
\(432\) | 0.155187 | + | 0.880107i | 0.00746642 | + | 0.0423442i | ||||
\(433\) | 5.02952 | − | 28.5238i | 0.241703 | − | 1.37077i | −0.586323 | − | 0.810078i | \(-0.699425\pi\) |
0.828026 | − | 0.560690i | \(-0.189464\pi\) | |||||||
\(434\) | 1.02804 | + | 0.374175i | 0.0493474 | + | 0.0179610i | ||||
\(435\) | 0.236779 | − | 0.198681i | 0.0113527 | − | 0.00952604i | ||||
\(436\) | 7.44096 | 0.356357 | ||||||||
\(437\) | 8.43073 | + | 3.83652i | 0.403297 | + | 0.183526i | ||||
\(438\) | −29.0334 | −1.38727 | ||||||||
\(439\) | −8.59028 | + | 7.20810i | −0.409992 | + | 0.344024i | −0.824341 | − | 0.566094i | \(-0.808454\pi\) |
0.414349 | + | 0.910118i | \(0.364009\pi\) | |||||||
\(440\) | 1.29468 | + | 0.471226i | 0.0617215 | + | 0.0224648i | ||||
\(441\) | 1.34677 | − | 7.63790i | 0.0641318 | − | 0.363710i | ||||
\(442\) | −0.973830 | − | 5.52286i | −0.0463204 | − | 0.262696i | ||||
\(443\) | −7.00068 | + | 2.54804i | −0.332612 | + | 0.121061i | −0.502927 | − | 0.864329i | \(-0.667744\pi\) |
0.170315 | + | 0.985390i | \(0.445521\pi\) | |||||||
\(444\) | 12.2301 | − | 21.1831i | 0.580413 | − | 1.00530i | ||||
\(445\) | 9.10910 | + | 15.7774i | 0.431813 | + | 0.747921i | ||||
\(446\) | −8.97564 | − | 7.53146i | −0.425009 | − | 0.356625i | ||||
\(447\) | −6.38422 | − | 5.35700i | −0.301963 | − | 0.253377i | ||||
\(448\) | −1.57771 | − | 2.73267i | −0.0745398 | − | 0.129107i | ||||
\(449\) | −2.65192 | + | 4.59326i | −0.125152 | + | 0.216769i | −0.921792 | − | 0.387684i | \(-0.873275\pi\) |
0.796640 | + | 0.604453i | \(0.206608\pi\) | |||||||
\(450\) | 2.46493 | − | 0.897162i | 0.116198 | − | 0.0422926i | ||||
\(451\) | 2.63388 | + | 14.9375i | 0.124025 | + | 0.703378i | ||||
\(452\) | −2.01457 | + | 11.4252i | −0.0947574 | + | 0.537396i | ||||
\(453\) | −0.473783 | − | 0.172443i | −0.0222603 | − | 0.00810207i | ||||
\(454\) | 7.83397 | − | 6.57348i | 0.367667 | − | 0.308509i | ||||
\(455\) | −13.6478 | −0.639821 | ||||||||
\(456\) | 10.3049 | + | 0.805323i | 0.482571 | + | 0.0377127i | ||||
\(457\) | 14.9890 | 0.701154 | 0.350577 | − | 0.936534i | \(-0.385986\pi\) | ||||
0.350577 | + | 0.936534i | \(0.385986\pi\) | |||||||
\(458\) | 3.87381 | − | 3.25051i | 0.181011 | − | 0.151886i | ||||
\(459\) | 1.08887 | + | 0.396316i | 0.0508241 | + | 0.0184984i | ||||
\(460\) | −0.369001 | + | 2.09271i | −0.0172048 | + | 0.0975730i | ||||
\(461\) | −1.19157 | − | 6.75771i | −0.0554968 | − | 0.314738i | 0.944405 | − | 0.328786i | \(-0.106639\pi\) |
−0.999901 | + | 0.0140479i | \(0.995528\pi\) | |||||||
\(462\) | −9.68744 | + | 3.52594i | −0.450701 | + | 0.164042i | ||||
\(463\) | −10.3194 | + | 17.8738i | −0.479585 | + | 0.830665i | −0.999726 | − | 0.0234152i | \(-0.992546\pi\) |
0.520141 | + | 0.854080i | \(0.325879\pi\) | |||||||
\(464\) | 0.0651735 | + | 0.112884i | 0.00302560 | + | 0.00524050i | ||||
\(465\) | −0.629809 | − | 0.528473i | −0.0292067 | − | 0.0245073i | ||||
\(466\) | 5.56030 | + | 4.66564i | 0.257576 | + | 0.216132i | ||||
\(467\) | 6.01750 | + | 10.4226i | 0.278457 | + | 0.482301i | 0.971001 | − | 0.239074i | \(-0.0768438\pi\) |
−0.692545 | + | 0.721375i | \(0.743510\pi\) | |||||||
\(468\) | 5.67279 | − | 9.82555i | 0.262225 | − | 0.454186i | ||||
\(469\) | 3.05609 | − | 1.11233i | 0.141117 | − | 0.0513625i | ||||
\(470\) | −0.0132740 | − | 0.0752808i | −0.000612286 | − | 0.00347245i | ||||
\(471\) | −3.16552 | + | 17.9526i | −0.145859 | + | 0.827210i | ||||
\(472\) | −7.69256 | − | 2.79986i | −0.354079 | − | 0.128874i | ||||
\(473\) | −12.1641 | + | 10.2069i | −0.559304 | + | 0.469312i | ||||
\(474\) | 33.2219 | 1.52593 | ||||||||
\(475\) | 0.420163 | + | 4.33860i | 0.0192784 | + | 0.199069i | ||||
\(476\) | −4.09132 | −0.187525 | ||||||||
\(477\) | 12.4979 | − | 10.4869i | 0.572238 | − | 0.480164i | ||||
\(478\) | 15.0098 | + | 5.46314i | 0.686534 | + | 0.249878i | ||||
\(479\) | 3.95553 | − | 22.4329i | 0.180733 | − | 1.02499i | −0.750583 | − | 0.660776i | \(-0.770227\pi\) |
0.931316 | − | 0.364211i | \(-0.118661\pi\) | |||||||
\(480\) | 0.411774 | + | 2.33529i | 0.0187948 | + | 0.106591i | ||||
\(481\) | 41.9240 | − | 15.2591i | 1.91157 | − | 0.695754i | ||||
\(482\) | 11.0975 | − | 19.2214i | 0.505475 | − | 0.875509i | ||||
\(483\) | −7.95011 | − | 13.7700i | −0.361743 | − | 0.626556i | ||||
\(484\) | −6.97234 | − | 5.85049i | −0.316925 | − | 0.265931i | ||||
\(485\) | −12.4265 | − | 10.4271i | −0.564260 | − | 0.473470i | ||||
\(486\) | 10.5025 | + | 18.1909i | 0.476403 | + | 0.825155i | ||||
\(487\) | −3.22456 | + | 5.58510i | −0.146119 | + | 0.253085i | −0.929790 | − | 0.368091i | \(-0.880011\pi\) |
0.783671 | + | 0.621176i | \(0.213345\pi\) | |||||||
\(488\) | 7.37283 | − | 2.68349i | 0.333752 | − | 0.121476i | ||||
\(489\) | 3.01707 | + | 17.1107i | 0.136437 | + | 0.773771i | ||||
\(490\) | −0.513421 | + | 2.91175i | −0.0231940 | + | 0.131540i | ||||
\(491\) | 22.8944 | + | 8.33289i | 1.03321 | + | 0.376058i | 0.802303 | − | 0.596917i | \(-0.203608\pi\) |
0.230908 | + | 0.972975i | \(0.425830\pi\) | |||||||
\(492\) | −19.9982 | + | 16.7805i | −0.901590 | + | 0.756524i | ||||
\(493\) | 0.169008 | 0.00761173 | ||||||||
\(494\) | 13.4543 | + | 13.2070i | 0.605336 | + | 0.594209i | ||||
\(495\) | 3.61407 | 0.162440 | ||||||||
\(496\) | 0.265595 | − | 0.222861i | 0.0119256 | − | 0.0100067i | ||||
\(497\) | −34.5520 | − | 12.5759i | −1.54987 | − | 0.564106i | ||||
\(498\) | 4.68554 | − | 26.5730i | 0.209964 | − | 1.19077i | ||||
\(499\) | 0.282127 | + | 1.60002i | 0.0126298 | + | 0.0716269i | 0.990471 | − | 0.137720i | \(-0.0439774\pi\) |
−0.977841 | + | 0.209347i | \(0.932866\pi\) | |||||||
\(500\) | −0.939693 | + | 0.342020i | −0.0420243 | + | 0.0152956i | ||||
\(501\) | −18.7854 | + | 32.5373i | −0.839270 | + | 1.45366i | ||||
\(502\) | 11.2763 | + | 19.5311i | 0.503286 | + | 0.871717i | ||||
\(503\) | 26.9615 | + | 22.6234i | 1.20215 | + | 1.00873i | 0.999566 | + | 0.0294632i | \(0.00937978\pi\) |
0.202588 | + | 0.979264i | \(0.435065\pi\) | |||||||
\(504\) | −6.34060 | − | 5.32040i | −0.282433 | − | 0.236989i | ||||
\(505\) | −3.31162 | − | 5.73590i | −0.147365 | − | 0.255244i | ||||
\(506\) | −1.46388 | + | 2.53551i | −0.0650772 | + | 0.112717i | ||||
\(507\) | 12.7179 | − | 4.62894i | 0.564822 | − | 0.205578i | ||||
\(508\) | 2.84757 | + | 16.1494i | 0.126341 | + | 0.716513i | ||||
\(509\) | −4.20711 | + | 23.8597i | −0.186477 | + | 1.05756i | 0.737567 | + | 0.675274i | \(0.235975\pi\) |
−0.924043 | + | 0.382288i | \(0.875136\pi\) | |||||||
\(510\) | 2.88922 | + | 1.05159i | 0.127937 | + | 0.0465652i | ||||
\(511\) | −29.5952 | + | 24.8333i | −1.30921 | + | 1.09856i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | −3.75323 | + | 1.04308i | −0.165709 | + | 0.0460532i | ||||
\(514\) | −10.7146 | −0.472599 | ||||||||
\(515\) | −9.46647 | + | 7.94331i | −0.417143 | + | 0.350024i | ||||
\(516\) | −25.6816 | − | 9.34733i | −1.13057 | − | 0.411493i | ||||
\(517\) | 0.0182886 | − | 0.103720i | 0.000804332 | − | 0.00456159i | ||||
\(518\) | −5.65193 | − | 32.0537i | −0.248332 | − | 1.40836i | ||||
\(519\) | 37.0795 | − | 13.4958i | 1.62761 | − | 0.592401i | ||||
\(520\) | −2.16260 | + | 3.74574i | −0.0948365 | + | 0.164262i | ||||
\(521\) | 3.95859 | + | 6.85648i | 0.173429 | + | 0.300388i | 0.939616 | − | 0.342229i | \(-0.111182\pi\) |
−0.766187 | + | 0.642617i | \(0.777849\pi\) | |||||||
\(522\) | 0.261923 | + | 0.219780i | 0.0114641 | + | 0.00961950i | ||||
\(523\) | −1.88229 | − | 1.57943i | −0.0823069 | − | 0.0690637i | 0.600706 | − | 0.799470i | \(-0.294886\pi\) |
−0.683013 | + | 0.730406i | \(0.739331\pi\) | |||||||
\(524\) | −5.56833 | − | 9.64464i | −0.243254 | − | 0.421328i | ||||
\(525\) | 3.74124 | − | 6.48003i | 0.163281 | − | 0.282811i | ||||
\(526\) | 25.0584 | − | 9.12051i | 1.09260 | − | 0.397673i | ||||
\(527\) | −0.0780624 | − | 0.442714i | −0.00340045 | − | 0.0192849i | ||||
\(528\) | −0.567331 | + | 3.21749i | −0.0246899 | + | 0.140023i | ||||
\(529\) | 17.3697 | + | 6.32204i | 0.755203 | + | 0.274871i | ||||
\(530\) | −4.76449 | + | 3.99788i | −0.206956 | + | 0.173657i | ||||
\(531\) | −21.4736 | −0.931874 | ||||||||
\(532\) | 11.1931 | − | 7.99322i | 0.485282 | − | 0.346550i | ||||
\(533\) | −47.6163 | −2.06249 | ||||||||
\(534\) | −33.0939 | + | 27.7691i | −1.43211 | + | 1.20169i | ||||
\(535\) | −10.2941 | − | 3.74676i | −0.445055 | − | 0.161987i | ||||
\(536\) | 0.178976 | − | 1.01502i | 0.00773057 | − | 0.0438422i | ||||
\(537\) | 1.88225 | + | 10.6748i | 0.0812250 | + | 0.460650i | ||||
\(538\) | 1.34180 | − | 0.488375i | 0.0578491 | − | 0.0210554i | ||||
\(539\) | −2.03681 | + | 3.52786i | −0.0877316 | + | 0.151956i | ||||
\(540\) | −0.446842 | − | 0.773953i | −0.0192290 | − | 0.0333056i | ||||
\(541\) | 17.2132 | + | 14.4436i | 0.740054 | + | 0.620979i | 0.932852 | − | 0.360260i | \(-0.117312\pi\) |
−0.192798 | + | 0.981238i | \(0.561756\pi\) | |||||||
\(542\) | −5.64532 | − | 4.73699i | −0.242487 | − | 0.203471i | ||||
\(543\) | 2.00184 | + | 3.46730i | 0.0859074 | + | 0.148796i | ||||
\(544\) | −0.648300 | + | 1.12289i | −0.0277956 | + | 0.0481434i | ||||
\(545\) | −6.99222 | + | 2.54496i | −0.299514 | + | 0.109014i | ||||
\(546\) | −5.61983 | − | 31.8717i | −0.240507 | − | 1.36398i | ||||
\(547\) | −4.65342 | + | 26.3908i | −0.198966 | + | 1.12839i | 0.707691 | + | 0.706522i | \(0.249737\pi\) |
−0.906657 | + | 0.421869i | \(0.861374\pi\) | |||||||
\(548\) | −6.89889 | − | 2.51099i | −0.294706 | − | 0.107264i | ||||
\(549\) | 15.7660 | − | 13.2292i | 0.672876 | − | 0.564610i | ||||
\(550\) | −1.37777 | −0.0587484 | ||||||||
\(551\) | −0.462374 | + | 0.330191i | −0.0196978 | + | 0.0140666i | ||||
\(552\) | −5.03902 | −0.214475 | ||||||||
\(553\) | 33.8647 | − | 28.4158i | 1.44007 | − | 1.20836i | ||||
\(554\) | −2.37302 | − | 0.863707i | −0.100820 | − | 0.0366954i | ||||
\(555\) | −4.24746 | + | 24.0885i | −0.180294 | + | 1.02250i | ||||
\(556\) | 2.05105 | + | 11.6321i | 0.0869839 | + | 0.493310i | ||||
\(557\) | 36.7473 | − | 13.3749i | 1.55704 | − | 0.566714i | 0.586980 | − | 0.809601i | \(-0.300317\pi\) |
0.970055 | + | 0.242887i | \(0.0780943\pi\) | |||||||
\(558\) | 0.454732 | − | 0.787619i | 0.0192503 | − | 0.0333426i | ||||
\(559\) | −24.9244 | − | 43.1703i | −1.05419 | − | 1.82591i | ||||
\(560\) | 2.41719 | + | 2.02826i | 0.102145 | + | 0.0857098i | ||||
\(561\) | 3.24508 | + | 2.72295i | 0.137008 | + | 0.114963i | ||||
\(562\) | 8.61440 | + | 14.9206i | 0.363377 | + | 0.629387i | ||||
\(563\) | −4.31076 | + | 7.46645i | −0.181677 | + | 0.314673i | −0.942452 | − | 0.334343i | \(-0.891486\pi\) |
0.760775 | + | 0.649016i | \(0.224819\pi\) | |||||||
\(564\) | 0.170336 | − | 0.0619974i | 0.00717246 | − | 0.00261056i | ||||
\(565\) | −2.01457 | − | 11.4252i | −0.0847536 | − | 0.480662i | ||||
\(566\) | −4.90049 | + | 27.7920i | −0.205983 | + | 1.16819i | ||||
\(567\) | 29.6174 | + | 10.7799i | 1.24381 | + | 0.452711i | ||||
\(568\) | −8.92657 | + | 7.49028i | −0.374550 | + | 0.314285i | ||||
\(569\) | 23.0260 | 0.965300 | 0.482650 | − | 0.875813i | \(-0.339674\pi\) | ||||
0.482650 | + | 0.875813i | \(0.339674\pi\) | |||||||
\(570\) | −9.95887 | + | 2.76773i | −0.417131 | + | 0.115927i | ||||
\(571\) | −29.9673 | −1.25409 | −0.627047 | − | 0.778981i | \(-0.715737\pi\) | ||||
−0.627047 | + | 0.778981i | \(0.715737\pi\) | |||||||
\(572\) | −4.56497 | + | 3.83047i | −0.190871 | + | 0.160160i | ||||
\(573\) | 25.0031 | + | 9.10040i | 1.04452 | + | 0.380175i | ||||
\(574\) | −6.03220 | + | 34.2103i | −0.251779 | + | 1.42791i | ||||
\(575\) | −0.369001 | − | 2.09271i | −0.0153884 | − | 0.0872719i | ||||
\(576\) | −2.46493 | + | 0.897162i | −0.102706 | + | 0.0373818i | ||||
\(577\) | −2.27258 | + | 3.93622i | −0.0946087 | + | 0.163867i | −0.909445 | − | 0.415824i | \(-0.863493\pi\) |
0.814837 | + | 0.579691i | \(0.196827\pi\) | |||||||
\(578\) | −7.65941 | − | 13.2665i | −0.318590 | − | 0.551813i | ||||
\(579\) | 39.0333 | + | 32.7529i | 1.62217 | + | 1.36116i | ||||
\(580\) | −0.0998515 | − | 0.0837854i | −0.00414611 | − | 0.00347900i | ||||
\(581\) | −17.9526 | − | 31.0949i | −0.744800 | − | 1.29003i | ||||
\(582\) | 19.2334 | − | 33.3131i | 0.797248 | − | 1.38087i | ||||
\(583\) | −8.05240 | + | 2.93083i | −0.333496 | + | 0.121383i | ||||
\(584\) | 2.12608 | + | 12.0576i | 0.0879779 | + | 0.498947i | ||||
\(585\) | −1.97014 | + | 11.1732i | −0.0814552 | + | 0.461955i | ||||
\(586\) | −11.8571 | − | 4.31563i | −0.489813 | − | 0.178277i | ||||
\(587\) | 14.1471 | − | 11.8709i | 0.583915 | − | 0.489963i | −0.302315 | − | 0.953208i | \(-0.597760\pi\) |
0.886230 | + | 0.463245i | \(0.153315\pi\) | |||||||
\(588\) | −7.01120 | −0.289137 | ||||||||
\(589\) | 1.07850 | + | 1.05867i | 0.0444387 | + | 0.0436219i | ||||
\(590\) | 8.18626 | 0.337023 | ||||||||
\(591\) | −27.7537 | + | 23.2881i | −1.14164 | + | 0.957946i | ||||
\(592\) | −9.69294 | − | 3.52794i | −0.398377 | − | 0.144998i | ||||
\(593\) | −2.77694 | + | 15.7488i | −0.114035 | + | 0.646726i | 0.873188 | + | 0.487384i | \(0.162049\pi\) |
−0.987223 | + | 0.159343i | \(0.949062\pi\) | |||||||
\(594\) | −0.213812 | − | 1.21259i | −0.00877280 | − | 0.0497530i | ||||
\(595\) | 3.84458 | − | 1.39931i | 0.157612 | − | 0.0573662i | ||||
\(596\) | −1.75726 | + | 3.04366i | −0.0719800 | + | 0.124673i | ||||
\(597\) | 0.840343 | + | 1.45552i | 0.0343930 | + | 0.0595704i | ||||
\(598\) | −7.04074 | − | 5.90788i | −0.287917 | − | 0.241591i | ||||
\(599\) | 3.02967 | + | 2.54220i | 0.123789 | + | 0.103871i | 0.702581 | − | 0.711604i | \(-0.252031\pi\) |
−0.578792 | + | 0.815476i | \(0.696476\pi\) | |||||||
\(600\) | −1.18566 | − | 2.05362i | −0.0484042 | − | 0.0838386i | ||||
\(601\) | 1.10855 | − | 1.92006i | 0.0452186 | − | 0.0783209i | −0.842530 | − | 0.538649i | \(-0.818935\pi\) |
0.887749 | + | 0.460328i | \(0.152268\pi\) | |||||||
\(602\) | −34.1735 | + | 12.4382i | −1.39281 | + | 0.506941i | ||||
\(603\) | −0.469476 | − | 2.66253i | −0.0191185 | − | 0.108427i | ||||
\(604\) | −0.0369211 | + | 0.209390i | −0.00150230 | + | 0.00851996i | ||||
\(605\) | 8.55284 | + | 3.11298i | 0.347722 | + | 0.126561i | ||||
\(606\) | 12.0313 | − | 10.0955i | 0.488739 | − | 0.410101i | ||||
\(607\) | 17.4964 | 0.710155 | 0.355078 | − | 0.934837i | \(-0.384454\pi\) | ||||
0.355078 | + | 0.934837i | \(0.384454\pi\) | |||||||
\(608\) | −0.420163 | − | 4.33860i | −0.0170399 | − | 0.175954i | ||||
\(609\) | 0.975319 | 0.0395219 | ||||||||
\(610\) | −6.01038 | + | 5.04331i | −0.243353 | + | 0.204198i | ||||
\(611\) | 0.310689 | + | 0.113082i | 0.0125691 | + | 0.00457479i | ||||
\(612\) | −0.590603 | + | 3.34947i | −0.0238737 | + | 0.135394i | ||||
\(613\) | 1.58504 | + | 8.98922i | 0.0640193 | + | 0.363071i | 0.999941 | + | 0.0108633i | \(0.00345795\pi\) |
−0.935922 | + | 0.352208i | \(0.885431\pi\) | |||||||
\(614\) | 8.51802 | − | 3.10031i | 0.343759 | − | 0.125118i | ||||
\(615\) | 13.0529 | − | 22.6083i | 0.526344 | − | 0.911655i | ||||
\(616\) | 2.17372 | + | 3.76500i | 0.0875818 | + | 0.151696i | ||||
\(617\) | 1.19206 | + | 1.00026i | 0.0479906 | + | 0.0402689i | 0.666467 | − | 0.745534i | \(-0.267806\pi\) |
−0.618477 | + | 0.785803i | \(0.712250\pi\) | |||||||
\(618\) | −22.4480 | − | 18.8361i | −0.902990 | − | 0.757699i | ||||
\(619\) | −16.2140 | − | 28.0835i | −0.651695 | − | 1.12877i | −0.982711 | − | 0.185144i | \(-0.940725\pi\) |
0.331016 | − | 0.943625i | \(-0.392609\pi\) | |||||||
\(620\) | −0.173355 | + | 0.300259i | −0.00696210 | + | 0.0120587i | ||||
\(621\) | 1.78454 | − | 0.649520i | 0.0716112 | − | 0.0260644i | ||||
\(622\) | 3.77032 | + | 21.3826i | 0.151176 | + | 0.857362i | ||||
\(623\) | −9.98235 | + | 56.6127i | −0.399934 | + | 2.26814i | ||||
\(624\) | −9.63789 | − | 3.50790i | −0.385824 | − | 0.140429i | ||||
\(625\) | 0.766044 | − | 0.642788i | 0.0306418 | − | 0.0257115i | ||||
\(626\) | 10.0460 | 0.401520 | ||||||||
\(627\) | −14.1978 | − | 1.10955i | −0.567005 | − | 0.0443112i | ||||
\(628\) | 7.68751 | 0.306765 | ||||||||
\(629\) | −10.2454 | + | 8.59692i | −0.408511 | + | 0.342782i | ||||
\(630\) | 7.77790 | + | 2.83092i | 0.309879 | + | 0.112787i | ||||
\(631\) | −1.67744 | + | 9.51323i | −0.0667778 | + | 0.378716i | 0.933043 | + | 0.359766i | \(0.117143\pi\) |
−0.999820 | + | 0.0189499i | \(0.993968\pi\) | |||||||
\(632\) | −2.43280 | − | 13.7971i | −0.0967715 | − | 0.548819i | ||||
\(633\) | 31.3726 | − | 11.4187i | 1.24695 | − | 0.453852i | ||||
\(634\) | −1.05423 | + | 1.82598i | −0.0418688 | + | 0.0725189i | ||||
\(635\) | −8.19925 | − | 14.2015i | −0.325377 | − | 0.563570i | ||||
\(636\) | −11.2981 | − | 9.48023i | −0.447999 | − | 0.375915i | ||||
\(637\) | −9.79635 | − | 8.22011i | −0.388145 | − | 0.325693i | ||||
\(638\) | −0.0897942 | − | 0.155528i | −0.00355498 | − | 0.00615741i | ||||
\(639\) | −15.2834 | + | 26.4716i | −0.604602 | + | 1.04720i | ||||
\(640\) | 0.939693 | − | 0.342020i | 0.0371446 | − | 0.0135195i | ||||
\(641\) | 7.05763 | + | 40.0258i | 0.278759 | + | 1.58092i | 0.726761 | + | 0.686891i | \(0.241025\pi\) |
−0.448001 | + | 0.894033i | \(0.647864\pi\) | |||||||
\(642\) | 4.51091 | − | 25.5826i | 0.178031 | − | 1.00967i | ||||
\(643\) | 39.5312 | + | 14.3882i | 1.55896 | + | 0.567414i | 0.970497 | − | 0.241112i | \(-0.0775121\pi\) |
0.588460 | + | 0.808526i | \(0.299734\pi\) | |||||||
\(644\) | −5.13651 | + | 4.31004i | −0.202407 | + | 0.169840i | ||||
\(645\) | 27.3298 | 1.07611 | ||||||||
\(646\) | −5.14416 | − | 2.34092i | −0.202394 | − | 0.0921022i | ||||
\(647\) | 18.0072 | 0.707936 | 0.353968 | − | 0.935258i | \(-0.384832\pi\) | ||||
0.353968 | + | 0.935258i | \(0.384832\pi\) | |||||||
\(648\) | 7.65170 | − | 6.42054i | 0.300587 | − | 0.252223i | ||||
\(649\) | 10.5986 | + | 3.85757i | 0.416031 | + | 0.151423i | ||||
\(650\) | 0.751065 | − | 4.25950i | 0.0294592 | − | 0.167071i | ||||
\(651\) | −0.450487 | − | 2.55484i | −0.0176560 | − | 0.100132i | ||||
\(652\) | 6.88513 | − | 2.50598i | 0.269643 | − | 0.0981419i | ||||
\(653\) | −19.7435 | + | 34.1968i | −0.772624 | + | 1.33822i | 0.163496 | + | 0.986544i | \(0.447723\pi\) |
−0.936120 | + | 0.351680i | \(0.885610\pi\) | |||||||
\(654\) | −8.82243 | − | 15.2809i | −0.344984 | − | 0.597530i | ||||
\(655\) | 8.53118 | + | 7.15851i | 0.333341 | + | 0.279706i | ||||
\(656\) | 8.43340 | + | 7.07646i | 0.329269 | + | 0.276289i | ||||
\(657\) | 16.0583 | + | 27.8138i | 0.626493 | + | 1.08512i | ||||
\(658\) | 0.120604 | − | 0.208891i | 0.00470162 | − | 0.00814344i | ||||
\(659\) | −33.6395 | + | 12.2438i | −1.31041 | + | 0.476949i | −0.900372 | − | 0.435120i | \(-0.856706\pi\) |
−0.410035 | + | 0.912070i | \(0.634484\pi\) | |||||||
\(660\) | −0.567331 | − | 3.21749i | −0.0220833 | − | 0.125241i | ||||
\(661\) | 2.36241 | − | 13.3979i | 0.0918871 | − | 0.521118i | −0.903770 | − | 0.428019i | \(-0.859212\pi\) |
0.995657 | − | 0.0930988i | \(-0.0296772\pi\) | |||||||
\(662\) | −3.23639 | − | 1.17795i | −0.125786 | − | 0.0457822i | ||||
\(663\) | −10.1872 | + | 8.54809i | −0.395639 | + | 0.331980i | ||||
\(664\) | −11.3789 | −0.441588 | ||||||||
\(665\) | −7.78422 | + | 11.3394i | −0.301859 | + | 0.439724i | ||||
\(666\) | −27.0576 | −1.04846 | ||||||||
\(667\) | 0.212184 | − | 0.178043i | 0.00821578 | − | 0.00689386i | ||||
\(668\) | 14.8884 | + | 5.41893i | 0.576049 | + | 0.209665i | ||||
\(669\) | −4.82470 | + | 27.3623i | −0.186534 | + | 1.05789i | ||||
\(670\) | 0.178976 | + | 1.01502i | 0.00691443 | + | 0.0392137i | ||||
\(671\) | −10.1581 | + | 3.69724i | −0.392148 | + | 0.142730i | ||||
\(672\) | −3.74124 | + | 6.48003i | −0.144322 | + | 0.249972i | ||||
\(673\) | 21.1108 | + | 36.5649i | 0.813760 | + | 1.40947i | 0.910215 | + | 0.414136i | \(0.135916\pi\) |
−0.0964549 | + | 0.995337i | \(0.530750\pi\) | |||||||
\(674\) | 19.8089 | + | 16.6216i | 0.763009 | + | 0.640241i | ||||
\(675\) | 0.684602 | + | 0.574449i | 0.0263503 | + | 0.0221106i | ||||
\(676\) | −2.85372 | − | 4.94278i | −0.109758 | − | 0.190107i | ||||
\(677\) | 21.8355 | − | 37.8202i | 0.839207 | − | 1.45355i | −0.0513514 | − | 0.998681i | \(-0.516353\pi\) |
0.890558 | − | 0.454869i | \(-0.150314\pi\) | |||||||
\(678\) | 25.8516 | − | 9.40920i | 0.992824 | − | 0.361358i | ||||
\(679\) | −8.88840 | − | 50.4086i | −0.341105 | − | 1.93450i | ||||
\(680\) | 0.225152 | − | 1.27690i | 0.00863419 | − | 0.0489669i | ||||
\(681\) | −22.7878 | − | 8.29409i | −0.873231 | − | 0.317830i | ||||
\(682\) | −0.365929 | + | 0.307051i | −0.0140122 | + | 0.0117576i | ||||
\(683\) | 9.22100 | 0.352832 | 0.176416 | − | 0.984316i | \(-0.443550\pi\) | ||||
0.176416 | + | 0.984316i | \(0.443550\pi\) | |||||||
\(684\) | −4.92810 | − | 10.3174i | −0.188431 | − | 0.394496i | ||||
\(685\) | 7.34165 | 0.280510 | ||||||||
\(686\) | 9.77350 | − | 8.20094i | 0.373154 | − | 0.313113i | ||||
\(687\) | −11.2683 | − | 4.10133i | −0.429913 | − | 0.156475i | ||||
\(688\) | −2.00132 | + | 11.3501i | −0.0762998 | + | 0.432717i | ||||
\(689\) | −4.67132 | − | 26.4924i | −0.177963 | − | 1.00928i | ||||
\(690\) | 4.73513 | − | 1.72345i | 0.180263 | − | 0.0656105i | ||||
\(691\) | 20.0044 | − | 34.6487i | 0.761004 | − | 1.31810i | −0.181330 | − | 0.983422i | \(-0.558040\pi\) |
0.942334 | − | 0.334675i | \(-0.108626\pi\) | |||||||
\(692\) | −8.32010 | − | 14.4108i | −0.316283 | − | 0.547818i | ||||
\(693\) | 8.73590 | + | 7.33029i | 0.331849 | + | 0.278455i | ||||
\(694\) | −1.93290 | − | 1.62189i | −0.0733717 | − | 0.0615662i | ||||
\(695\) | −5.90576 | − | 10.2291i | −0.224018 | − | 0.388011i | ||||
\(696\) | 0.154547 | − | 0.267683i | 0.00585808 | − | 0.0101465i | ||||
\(697\) | 13.4134 | − | 4.88209i | 0.508070 | − | 0.184922i | ||||
\(698\) | −0.638930 | − | 3.62355i | −0.0241839 | − | 0.137153i | ||||
\(699\) | 2.98884 | − | 16.9506i | 0.113048 | − | 0.641130i | ||||
\(700\) | −2.96512 | − | 1.07922i | −0.112071 | − | 0.0407906i | ||||
\(701\) | −1.37655 | + | 1.15507i | −0.0519917 | + | 0.0436262i | −0.668413 | − | 0.743790i | \(-0.733026\pi\) |
0.616422 | + | 0.787416i | \(0.288582\pi\) | |||||||
\(702\) | 3.86537 | 0.145889 | ||||||||
\(703\) | 11.2337 | − | 43.5361i | 0.423688 | − | 1.64200i | ||||
\(704\) | 1.37777 | 0.0519267 | ||||||||
\(705\) | −0.138860 | + | 0.116517i | −0.00522975 | + | 0.00438828i | ||||
\(706\) | 2.62772 | + | 0.956410i | 0.0988954 | + | 0.0359950i | ||||
\(707\) | 3.62909 | − | 20.5816i | 0.136486 | − | 0.774051i | ||||
\(708\) | 3.37089 | + | 19.1173i | 0.126686 | + | 0.718471i | ||||
\(709\) | −31.8904 | + | 11.6072i | −1.19767 | + | 0.435916i | −0.862410 | − | 0.506210i | \(-0.831046\pi\) |
−0.335259 | + | 0.942126i | \(0.608824\pi\) | |||||||
\(710\) | 5.82640 | − | 10.0916i | 0.218661 | − | 0.378732i | ||||
\(711\) | −18.3749 | − | 31.8263i | −0.689113 | − | 1.19358i | ||||
\(712\) | 13.9559 | + | 11.7104i | 0.523021 | + | 0.438867i | ||||
\(713\) | −0.564387 | − | 0.473577i | −0.0211365 | − | 0.0177356i | ||||
\(714\) | 4.85090 | + | 8.40200i | 0.181540 | + | 0.314437i | ||||
\(715\) | 2.97958 | − | 5.16078i | 0.111430 | − | 0.193002i | ||||
\(716\) | 4.29540 | − | 1.56340i | 0.160527 | − | 0.0584269i | ||||
\(717\) | −6.57733 | − | 37.3019i | −0.245635 | − | 1.39306i | ||||
\(718\) | −3.49734 | + | 19.8344i | −0.130519 | + | 0.740212i | ||||
\(719\) | 4.77790 | + | 1.73901i | 0.178186 | + | 0.0648542i | 0.429572 | − | 0.903033i | \(-0.358664\pi\) |
−0.251387 | + | 0.967887i | \(0.580887\pi\) | |||||||
\(720\) | 2.00943 | − | 1.68611i | 0.0748871 | − | 0.0628377i | ||||
\(721\) | −38.9934 | −1.45219 | ||||||||
\(722\) | 18.6469 | − | 3.64584i | 0.693967 | − | 0.135684i | ||||
\(723\) | −52.6311 | −1.95737 | ||||||||
\(724\) | 1.29338 | − | 1.08527i | 0.0480680 | − | 0.0403338i | ||||
\(725\) | 0.122486 | + | 0.0445813i | 0.00454902 | + | 0.00165571i | ||||
\(726\) | −3.74786 | + | 21.2552i | −0.139096 | + | 0.788854i | ||||
\(727\) | −3.74747 | − | 21.2529i | −0.138986 | − | 0.788228i | −0.972001 | − | 0.234977i | \(-0.924498\pi\) |
0.833015 | − | 0.553250i | \(-0.186613\pi\) | |||||||
\(728\) | −12.8248 | + | 4.66784i | −0.475318 | + | 0.173002i | ||||
\(729\) | 9.92186 | − | 17.1852i | 0.367476 | − | 0.636487i | ||||
\(730\) | −6.12181 | − | 10.6033i | −0.226578 | − | 0.392445i | ||||
\(731\) | 11.4474 | + | 9.60551i | 0.423397 | + | 0.355273i | ||||
\(732\) | −14.2525 | − | 11.9593i | −0.526788 | − | 0.442027i | ||||
\(733\) | −4.73774 | − | 8.20601i | −0.174993 | − | 0.303096i | 0.765166 | − | 0.643833i | \(-0.222657\pi\) |
−0.940159 | + | 0.340737i | \(0.889323\pi\) | |||||||
\(734\) | −2.26066 | + | 3.91559i | −0.0834426 | + | 0.144527i | ||||
\(735\) | 6.58837 | − | 2.39797i | 0.243016 | − | 0.0884505i | ||||
\(736\) | 0.369001 | + | 2.09271i | 0.0136015 | + | 0.0771382i | ||||
\(737\) | −0.246588 | + | 1.39847i | −0.00908317 | + | 0.0515132i | ||||
\(738\) | 27.1365 | + | 9.87687i | 0.998908 | + | 0.363573i | ||||
\(739\) | −6.02954 | + | 5.05938i | −0.221800 | + | 0.186112i | −0.746916 | − | 0.664918i | \(-0.768466\pi\) |
0.525116 | + | 0.851031i | \(0.324022\pi\) | |||||||
\(740\) | 10.3150 | 0.379187 | ||||||||
\(741\) | 11.1699 | − | 43.2888i | 0.410337 | − | 1.59026i | ||||
\(742\) | −19.6254 | −0.720473 | ||||||||
\(743\) | 37.0651 | − | 31.1013i | 1.35979 | − | 1.14100i | 0.383737 | − | 0.923442i | \(-0.374637\pi\) |
0.976049 | − | 0.217553i | \(-0.0698075\pi\) | |||||||
\(744\) | −0.772575 | − | 0.281194i | −0.0283240 | − | 0.0103091i | ||||
\(745\) | 0.610289 | − | 3.46112i | 0.0223592 | − | 0.126806i | ||||
\(746\) | −4.04087 | − | 22.9169i | −0.147947 | − | 0.839048i | ||||
\(747\) | −28.0483 | + | 10.2087i | −1.02623 | + | 0.373518i | ||||
\(748\) | 0.893209 | − | 1.54708i | 0.0326590 | − | 0.0565670i | ||||
\(749\) | −17.2835 | − | 29.9359i | −0.631525 | − | 1.09383i | ||||
\(750\) | 1.81653 | + | 1.52425i | 0.0663303 | + | 0.0556578i | ||||
\(751\) | −9.30243 | − | 7.80567i | −0.339451 | − | 0.284833i | 0.457087 | − | 0.889422i | \(-0.348893\pi\) |
−0.796537 | + | 0.604589i | \(0.793337\pi\) | |||||||
\(752\) | −0.0382211 | − | 0.0662008i | −0.00139378 | − | 0.00241410i | ||||
\(753\) | 26.7397 | − | 46.3145i | 0.974447 | − | 1.68779i | ||||
\(754\) | 0.529778 | − | 0.192823i | 0.0192934 | − | 0.00702221i | ||||
\(755\) | −0.0369211 | − | 0.209390i | −0.00134370 | − | 0.00762048i | ||||
\(756\) | 0.489679 | − | 2.77711i | 0.0178095 | − | 0.101002i | ||||
\(757\) | −32.8586 | − | 11.9596i | −1.19427 | − | 0.434677i | −0.333046 | − | 0.942910i | \(-0.608077\pi\) |
−0.861220 | + | 0.508233i | \(0.830299\pi\) | |||||||
\(758\) | −7.15997 | + | 6.00792i | −0.260062 | + | 0.218218i | ||||
\(759\) | 6.94262 | 0.252001 | ||||||||
\(760\) | 1.87871 | + | 3.93325i | 0.0681481 | + | 0.142674i | ||||
\(761\) | 46.9073 | 1.70039 | 0.850194 | − | 0.526470i | \(-0.176485\pi\) | ||||
0.850194 | + | 0.526470i | \(0.176485\pi\) | |||||||
\(762\) | 29.7884 | − | 24.9954i | 1.07912 | − | 0.905489i | ||||
\(763\) | −22.0634 | − | 8.03041i | −0.798748 | − | 0.290720i | ||||
\(764\) | 1.94845 | − | 11.0502i | 0.0704926 | − | 0.399783i | ||||
\(765\) | −0.590603 | − | 3.34947i | −0.0213533 | − | 0.121100i | ||||
\(766\) | 30.8559 | − | 11.2306i | 1.11487 | − | 0.405779i | ||||
\(767\) | −17.7036 | + | 30.6636i | −0.639241 | + | 1.10720i | ||||
\(768\) | 1.18566 | + | 2.05362i | 0.0427837 | + | 0.0741035i | ||||
\(769\) | 1.06182 | + | 0.890969i | 0.0382900 | + | 0.0321292i | 0.661732 | − | 0.749741i | \(-0.269822\pi\) |
−0.623442 | + | 0.781870i | \(0.714266\pi\) | |||||||
\(770\) | −3.33034 | − | 2.79449i | −0.120017 | − | 0.100706i | ||||
\(771\) | 12.7038 | + | 22.0036i | 0.457516 | + | 0.792440i | ||||
\(772\) | 10.7439 | − | 18.6090i | 0.386682 | − | 0.669753i | ||||
\(773\) | −6.05111 | + | 2.20242i | −0.217643 | + | 0.0792157i | −0.448541 | − | 0.893762i | \(-0.648056\pi\) |
0.230897 | + | 0.972978i | \(0.425834\pi\) | |||||||
\(774\) | 5.24973 | + | 29.7727i | 0.188698 | + | 1.07016i | ||||
\(775\) | 0.0602055 | − | 0.341442i | 0.00216265 | − | 0.0122650i | ||||
\(776\) | −15.2434 | − | 5.54814i | −0.547206 | − | 0.199167i | ||||
\(777\) | −59.1248 | + | 49.6116i | −2.12109 | + | 1.77981i | ||||
\(778\) | −10.6737 | −0.382670 | ||||||||
\(779\) | −27.1585 | + | 39.5624i | −0.973056 | + | 1.41747i | ||||
\(780\) | 10.2564 | 0.367239 | ||||||||
\(781\) | 12.2988 | − | 10.3199i | 0.440085 | − | 0.369275i | ||||
\(782\) | 2.58910 | + | 0.942355i | 0.0925860 | + | 0.0336985i | ||||
\(783\) | −0.0202281 | + | 0.114719i | −0.000722893 | + | 0.00409973i | ||||
\(784\) | 0.513421 | + | 2.91175i | 0.0183365 | + | 0.103991i | ||||
\(785\) | −7.22390 | + | 2.62928i | −0.257832 | + | 0.0938432i | ||||
\(786\) | −13.2043 | + | 22.8705i | −0.470981 | + | 0.815762i | ||||
\(787\) | −4.21842 | − | 7.30651i | −0.150370 | − | 0.260449i | 0.780993 | − | 0.624539i | \(-0.214713\pi\) |
−0.931364 | + | 0.364090i | \(0.881380\pi\) | |||||||
\(788\) | 11.7040 | + | 9.82078i | 0.416936 | + | 0.349851i | ||||
\(789\) | −48.4407 | − | 40.6466i | −1.72453 | − | 1.44706i | ||||
\(790\) | 7.00496 | + | 12.1330i | 0.249225 | + | 0.431671i | ||||
\(791\) | 18.3037 | − | 31.7030i | 0.650805 | − | 1.12723i | ||||
\(792\) | 3.39612 | − | 1.23608i | 0.120676 | − | 0.0439224i | ||||
\(793\) | −5.89285 | − | 33.4200i | −0.209261 | − | 1.18678i | ||||
\(794\) | −1.74625 | + | 9.90348i | −0.0619721 | + | 0.351461i | ||||
\(795\) | 13.8592 | + | 5.04432i | 0.491534 | + | 0.178904i | ||||
\(796\) | 0.542940 | − | 0.455581i | 0.0192440 | − | 0.0161476i | ||||
\(797\) | −32.4342 | −1.14888 | −0.574438 | − | 0.818548i | \(-0.694779\pi\) | ||||
−0.574438 | + | 0.818548i | \(0.694779\pi\) | |||||||
\(798\) | −29.6862 | − | 13.5091i | −1.05088 | − | 0.478217i | ||||
\(799\) | −0.0991149 | −0.00350643 | ||||||||
\(800\) | −0.766044 | + | 0.642788i | −0.0270838 | + | 0.0227260i | ||||
\(801\) | 44.9066 | + | 16.3447i | 1.58670 | + | 0.577511i | ||||
\(802\) | −2.09751 | + | 11.8956i | −0.0740657 | + | 0.420047i | ||||
\(803\) | −2.92926 | − | 16.6126i | −0.103371 | − | 0.586247i | ||||
\(804\) | −2.29667 | + | 0.835919i | −0.0809973 | + | 0.0294806i | ||||
\(805\) | 3.35262 | − | 5.80691i | 0.118164 | − | 0.204667i | ||||
\(806\) | −0.749796 | − | 1.29868i | −0.0264104 | − | 0.0457442i | ||||
\(807\) | −2.59385 | − | 2.17650i | −0.0913079 | − | 0.0766164i | ||||
\(808\) | −5.07370 | − | 4.25734i | −0.178492 | − | 0.149773i | ||||
\(809\) | 9.01013 | + | 15.6060i | 0.316779 | + | 0.548678i | 0.979814 | − | 0.199911i | \(-0.0640652\pi\) |
−0.663035 | + | 0.748589i | \(0.730732\pi\) | |||||||
\(810\) | −4.99429 | + | 8.65037i | −0.175482 | + | 0.303943i | ||||
\(811\) | 24.5830 | − | 8.94748i | 0.863226 | − | 0.314189i | 0.127805 | − | 0.991799i | \(-0.459207\pi\) |
0.735421 | + | 0.677611i | \(0.236985\pi\) | |||||||
\(812\) | −0.0714214 | − | 0.405051i | −0.00250640 | − | 0.0142145i | ||||
\(813\) | −3.03455 | + | 17.2098i | −0.106426 | + | 0.603573i | ||||
\(814\) | 13.3547 | + | 4.86070i | 0.468081 | + | 0.170367i | ||||
\(815\) | −5.61281 | + | 4.70971i | −0.196608 | + | 0.164974i | ||||
\(816\) | 3.07464 | 0.107634 | ||||||||
\(817\) | −50.0843 | − | 3.91407i | −1.75223 | − | 0.136936i | ||||
\(818\) | 39.5462 | 1.38270 | ||||||||
\(819\) | −27.4244 | + | 23.0118i | −0.958287 | + | 0.804098i | ||||
\(820\) | −10.3451 | − | 3.76531i | −0.361266 | − | 0.131490i | ||||
\(821\) | −4.91249 | + | 27.8601i | −0.171447 | + | 0.972325i | 0.770718 | + | 0.637176i | \(0.219898\pi\) |
−0.942165 | + | 0.335149i | \(0.891213\pi\) | |||||||
\(822\) | 3.02310 | + | 17.1449i | 0.105443 | + | 0.597996i | ||||
\(823\) | −46.9427 | + | 17.0857i | −1.63632 | + | 0.595571i | −0.986390 | − | 0.164424i | \(-0.947423\pi\) |
−0.649929 | + | 0.759995i | \(0.725201\pi\) | |||||||
\(824\) | −6.17880 | + | 10.7020i | −0.215249 | + | 0.372822i | ||||
\(825\) | 1.63356 | + | 2.82942i | 0.0568734 | + | 0.0985076i | ||||
\(826\) | 19.7878 | + | 16.6039i | 0.688504 | + | 0.577723i | ||||
\(827\) | −4.06949 | − | 3.41471i | −0.141510 | − | 0.118741i | 0.569285 | − | 0.822140i | \(-0.307220\pi\) |
−0.710795 | + | 0.703399i | \(0.751665\pi\) | |||||||
\(828\) | 2.78706 | + | 4.82733i | 0.0968570 | + | 0.167761i | ||||
\(829\) | −18.4308 | + | 31.9231i | −0.640129 | + | 1.10874i | 0.345275 | + | 0.938502i | \(0.387786\pi\) |
−0.985404 | + | 0.170234i | \(0.945548\pi\) | |||||||
\(830\) | 10.6927 | − | 3.89182i | 0.371148 | − | 0.135087i | ||||
\(831\) | 1.03986 | + | 5.89733i | 0.0360723 | + | 0.204576i | ||||
\(832\) | −0.751065 | + | 4.25950i | −0.0260385 | + | 0.147672i | ||||
\(833\) | 3.60242 | + | 1.31118i | 0.124817 | + | 0.0454295i | ||||
\(834\) | 21.4560 | − | 18.0037i | 0.742961 | − | 0.623418i | ||||
\(835\) | −15.8439 | −0.548300 | ||||||||
\(836\) | 0.578889 | + | 5.97760i | 0.0200213 | + | 0.206740i | ||||
\(837\) | 0.309849 | 0.0107099 | ||||||||
\(838\) | −21.8572 | + | 18.3404i | −0.755045 | + | 0.633558i | ||||
\(839\) | 42.0154 | + | 15.2924i | 1.45053 | + | 0.527951i | 0.942740 | − | 0.333528i | \(-0.108239\pi\) |
0.507793 | + | 0.861479i | \(0.330462\pi\) | |||||||
\(840\) | 1.29932 | − | 7.36881i | 0.0448308 | − | 0.254248i | ||||
\(841\) | −5.03285 | − | 28.5427i | −0.173546 | − | 0.984231i | ||||
\(842\) | 1.91607 | − | 0.697393i | 0.0660321 | − | 0.0240337i | ||||
\(843\) | 20.4275 | − | 35.3814i | 0.703559 | − | 1.21860i | ||||
\(844\) | −7.03956 | − | 12.1929i | −0.242312 | − | 0.419696i | ||||
\(845\) | 4.37215 | + | 3.66867i | 0.150406 | + | 0.126206i | ||||
\(846\) | −0.153605 | − | 0.128890i | −0.00528106 | − | 0.00443133i | ||||
\(847\) | 14.3599 | + | 24.8721i | 0.493412 | + | 0.854615i | ||||
\(848\) | −3.10980 | + | 5.38633i | −0.106791 | + | 0.184967i | ||||
\(849\) | 62.8845 | − | 22.8881i | 2.15819 | − | 0.785517i | ||||
\(850\) | 0.225152 | + | 1.27690i | 0.00772265 | + | 0.0437973i | ||||
\(851\) | −3.80625 | + | 21.5863i | −0.130476 | + | 0.739969i | ||||
\(852\) | 25.9660 | + | 9.45085i | 0.889581 | + | 0.323781i | ||||
\(853\) | −22.5705 | + | 18.9389i | −0.772800 | + | 0.648457i | −0.941424 | − | 0.337224i | \(-0.890512\pi\) |
0.168624 | + | 0.985680i | \(0.446068\pi\) | |||||||
\(854\) | −24.7574 | −0.847181 | ||||||||
\(855\) | 8.15966 | + | 8.00968i | 0.279055 | + | 0.273925i | ||||
\(856\) | −10.9548 | −0.374428 | ||||||||
\(857\) | −36.3667 | + | 30.5152i | −1.24226 | + | 1.04238i | −0.244917 | + | 0.969544i | \(0.578761\pi\) |
−0.997344 | + | 0.0728369i | \(0.976795\pi\) | |||||||
\(858\) | 13.2788 | + | 4.83309i | 0.453331 | + | 0.164999i | ||||
\(859\) | 0.165772 | − | 0.940140i | 0.00565607 | − | 0.0320772i | −0.981849 | − | 0.189664i | \(-0.939260\pi\) |
0.987505 | + | 0.157587i | \(0.0503713\pi\) | |||||||
\(860\) | −2.00132 | − | 11.3501i | −0.0682446 | − | 0.387034i | ||||
\(861\) | 77.4070 | − | 28.1739i | 2.63802 | − | 0.960162i | ||||
\(862\) | 6.78537 | − | 11.7526i | 0.231111 | − | 0.400295i | ||||
\(863\) | −23.5130 | − | 40.7257i | −0.800392 | − | 1.38632i | −0.919359 | − | 0.393421i | \(-0.871292\pi\) |
0.118967 | − | 0.992898i | \(-0.462042\pi\) | |||||||
\(864\) | −0.684602 | − | 0.574449i | −0.0232906 | − | 0.0195432i | ||||
\(865\) | 12.7471 | + | 10.6961i | 0.433416 | + | 0.363679i | ||||
\(866\) | 14.4819 | + | 25.0834i | 0.492116 | + | 0.852370i | ||||
\(867\) | −18.1629 | + | 31.4590i | −0.616843 | + | 1.06840i | ||||
\(868\) | −1.02804 | + | 0.374175i | −0.0348939 | + | 0.0127003i | ||||
\(869\) | 3.35184 | + | 19.0092i | 0.113703 | + | 0.644844i | ||||
\(870\) | −0.0536735 | + | 0.304398i | −0.00181970 | + | 0.0103200i | ||||
\(871\) | −4.18906 | − | 1.52469i | −0.141941 | − | 0.0516622i | ||||
\(872\) | −5.70011 | + | 4.78296i | −0.193030 | + | 0.161971i | ||||
\(873\) | −42.5515 | −1.44015 | ||||||||
\(874\) | −8.92438 | + | 2.48023i | −0.301872 | + | 0.0838949i | ||||
\(875\) | 3.15542 | 0.106673 | ||||||||
\(876\) | 22.2409 | − | 18.6623i | 0.751451 | − | 0.630542i | ||||
\(877\) | 40.2114 | + | 14.6358i | 1.35784 | + | 0.494215i | 0.915387 | − | 0.402575i | \(-0.131885\pi\) |
0.442457 | + | 0.896790i | \(0.354107\pi\) | |||||||
\(878\) | 1.94726 | − | 11.0435i | 0.0657168 | − | 0.372699i | ||||
\(879\) | 5.19580 | + | 29.4668i | 0.175250 | + | 0.993891i | ||||
\(880\) | −1.29468 | + | 0.471226i | −0.0436437 | + | 0.0158850i | ||||
\(881\) | −4.53664 | + | 7.85770i | −0.152843 | + | 0.264733i | −0.932272 | − | 0.361759i | \(-0.882176\pi\) |
0.779428 | + | 0.626491i | \(0.215510\pi\) | |||||||
\(882\) | 3.87786 | + | 6.71666i | 0.130574 | + | 0.226162i | ||||
\(883\) | −23.9939 | − | 20.1333i | −0.807460 | − | 0.677539i | 0.142540 | − | 0.989789i | \(-0.454473\pi\) |
−0.950000 | + | 0.312250i | \(0.898917\pi\) | |||||||
\(884\) | 4.29603 | + | 3.60479i | 0.144491 | + | 0.121242i | ||||
\(885\) | −9.70609 | − | 16.8114i | −0.326267 | − | 0.565110i | ||||
\(886\) | 3.72498 | − | 6.45186i | 0.125143 | − | 0.216755i | ||||
\(887\) | 3.18973 | − | 1.16097i | 0.107101 | − | 0.0389814i | −0.287914 | − | 0.957656i | \(-0.592962\pi\) |
0.395015 | + | 0.918675i | \(0.370740\pi\) | |||||||
\(888\) | 4.24746 | + | 24.0885i | 0.142535 | + | 0.808358i | ||||
\(889\) | 8.98528 | − | 50.9581i | 0.301357 | − | 1.70908i | ||||
\(890\) | −17.1195 | − | 6.23099i | −0.573847 | − | 0.208863i | ||||
\(891\) | −10.5423 | + | 8.84604i | −0.353180 | + | 0.296353i | ||||
\(892\) | 11.7169 | 0.392310 | ||||||||
\(893\) | 0.271160 | − | 0.193641i | 0.00907402 | − | 0.00647995i | ||||
\(894\) | 8.33401 | 0.278731 | ||||||||
\(895\) | −3.50164 | + | 2.93822i | −0.117047 | + | 0.0982140i | ||||
\(896\) | 2.96512 | + | 1.07922i | 0.0990579 | + | 0.0360541i | ||||
\(897\) | −3.78463 | + | 21.4637i | −0.126365 | + | 0.716652i | ||||
\(898\) | −0.921002 | − | 5.22326i | −0.0307342 | − | 0.174303i | ||||
\(899\) | 0.0424671 | − | 0.0154568i | 0.00141636 | − | 0.000515512i | ||||
\(900\) | −1.31156 | + | 2.27169i | −0.0437188 | + | 0.0757232i | ||||
\(901\) | 4.03216 | + | 6.98391i | 0.134331 | + | 0.232668i | ||||
\(902\) | −11.6193 | − | 9.74975i | −0.386880 | − | 0.324631i | ||||
\(903\) | 66.0613 | + | 55.4320i | 2.19838 | + | 1.84466i | ||||
\(904\) | −5.80072 | − | 10.0471i | −0.192929 | − | 0.334163i | ||||
\(905\) | −0.844192 | + | 1.46218i | −0.0280619 | + | 0.0486046i | ||||
\(906\) | 0.473783 | − | 0.172443i | 0.0157404 | − | 0.00572903i | ||||
\(907\) | 6.87769 | + | 39.0053i | 0.228370 | + | 1.29515i | 0.856137 | + | 0.516749i | \(0.172858\pi\) |
−0.627767 | + | 0.778401i | \(0.716031\pi\) | |||||||
\(908\) | −1.77582 | + | 10.0712i | −0.0589326 | + | 0.334223i | ||||
\(909\) | −16.3259 | − | 5.94213i | −0.541494 | − | 0.197088i | ||||
\(910\) | 10.4549 | − | 8.77267i | 0.346575 | − | 0.290811i | ||||
\(911\) | −24.0316 | −0.796204 | −0.398102 | − | 0.917341i | \(-0.630331\pi\) | ||||
−0.398102 | + | 0.917341i | \(0.630331\pi\) | |||||||
\(912\) | −8.41166 | + | 6.00695i | −0.278538 | + | 0.198910i | ||||
\(913\) | 15.6776 | 0.518851 | ||||||||
\(914\) | −11.4822 | + | 9.63471i | −0.379798 | + | 0.318688i | ||||
\(915\) | 17.4833 | + | 6.36340i | 0.577980 | + | 0.210367i | ||||
\(916\) | −0.878120 | + | 4.98007i | −0.0290139 | + | 0.164546i | ||||
\(917\) | 6.10215 | + | 34.6070i | 0.201511 | + | 1.14282i | ||||
\(918\) | −1.08887 | + | 0.396316i | −0.0359380 | + | 0.0130804i | ||||
\(919\) | −1.92860 | + | 3.34044i | −0.0636187 | + | 0.110191i | −0.896080 | − | 0.443892i | \(-0.853597\pi\) |
0.832462 | + | 0.554083i | \(0.186931\pi\) | |||||||
\(920\) | −1.06250 | − | 1.84030i | −0.0350294 | − | 0.0606728i | ||||
\(921\) | −16.4663 | − | 13.8169i | −0.542583 | − | 0.455281i | ||||
\(922\) | 5.25656 | + | 4.41078i | 0.173116 | + | 0.145261i | ||||
\(923\) | 25.2004 | + | 43.6484i | 0.829481 | + | 1.43670i | ||||
\(924\) | 5.15458 | − | 8.92800i | 0.169573 | − | 0.293710i | ||||
\(925\) | −9.69294 | + | 3.52794i | −0.318702 | + | 0.115998i | ||||
\(926\) | −3.58390 | − | 20.3253i | −0.117774 | − | 0.667931i | ||||
\(927\) | −5.62890 | + | 31.9231i | −0.184877 | + | 1.04849i | ||||
\(928\) | −0.122486 | − | 0.0445813i | −0.00402080 | − | 0.00146345i | ||||
\(929\) | 15.5371 | − | 13.0371i | 0.509755 | − | 0.427735i | −0.351288 | − | 0.936267i | \(-0.614256\pi\) |
0.861043 | + | 0.508532i | \(0.169812\pi\) | |||||||
\(930\) | 0.822157 | 0.0269596 | ||||||||
\(931\) | −12.4172 | + | 3.45094i | −0.406958 | + | 0.113100i | ||||
\(932\) | −7.25845 | −0.237759 | ||||||||
\(933\) | 39.4413 | − | 33.0952i | 1.29125 | − | 1.08349i | ||||
\(934\) | −11.3092 | − | 4.11621i | −0.370048 | − | 0.134687i | ||||
\(935\) | −0.310208 | + | 1.75928i | −0.0101449 | + | 0.0575346i | ||||
\(936\) | 1.97014 | + | 11.1732i | 0.0643960 | + | 0.365208i | ||||
\(937\) | 25.9286 | − | 9.43723i | 0.847050 | − | 0.308301i | 0.118213 | − | 0.992988i | \(-0.462283\pi\) |
0.728837 | + | 0.684687i | \(0.240061\pi\) | |||||||
\(938\) | −1.62611 | + | 2.81651i | −0.0530945 | + | 0.0919623i | ||||
\(939\) | −11.9111 | − | 20.6307i | −0.388705 | − | 0.673257i | ||||
\(940\) | 0.0585581 | + | 0.0491361i | 0.00190995 | + | 0.00160264i | ||||
\(941\) | −17.5704 | − | 14.7433i | −0.572780 | − | 0.480619i | 0.309787 | − | 0.950806i | \(-0.399742\pi\) |
−0.882567 | + | 0.470187i | \(0.844187\pi\) | |||||||
\(942\) | −9.11475 | − | 15.7872i | −0.296975 | − | 0.514375i | ||||
\(943\) | 11.6970 | − | 20.2599i | 0.380908 | − | 0.659752i | ||||
\(944\) | 7.69256 | − | 2.79986i | 0.250372 | − | 0.0911278i | ||||
\(945\) | 0.489679 | + | 2.77711i | 0.0159293 | + | 0.0903393i | ||||
\(946\) | 2.75737 | − | 15.6378i | 0.0896498 | − | 0.508429i | ||||
\(947\) | −26.3822 | − | 9.60233i | −0.857306 | − | 0.312034i | −0.124291 | − | 0.992246i | \(-0.539666\pi\) |
−0.733016 | + | 0.680212i | \(0.761888\pi\) | |||||||
\(948\) | −25.4495 | + | 21.3546i | −0.826560 | + | 0.693566i | ||||
\(949\) | 52.9562 | 1.71903 | ||||||||
\(950\) | −3.11066 | − | 3.05349i | −0.100923 | − | 0.0990682i | ||||
\(951\) | 4.99982 | 0.162130 | ||||||||
\(952\) | 3.13413 | − | 2.62985i | 0.101578 | − | 0.0852338i | ||||
\(953\) | −32.2346 | − | 11.7324i | −1.04418 | − | 0.380050i | −0.237717 | − | 0.971335i | \(-0.576399\pi\) |
−0.806463 | + | 0.591284i | \(0.798621\pi\) | |||||||
\(954\) | −2.83303 | + | 16.0669i | −0.0917229 | + | 0.520186i | ||||
\(955\) | 1.94845 | + | 11.0502i | 0.0630505 | + | 0.357577i | ||||
\(956\) | −15.0098 | + | 5.46314i | −0.485453 | + | 0.176690i | ||||
\(957\) | −0.212930 | + | 0.368806i | −0.00688305 | + | 0.0119218i | ||||
\(958\) | 11.3895 | + | 19.7272i | 0.367978 | + | 0.637357i | ||||
\(959\) | 17.7462 | + | 14.8908i | 0.573054 | + | 0.480849i | ||||
\(960\) | −1.81653 | − | 1.52425i | −0.0586283 | − | 0.0491950i | ||||
\(961\) | 15.4399 | + | 26.7427i | 0.498061 | + | 0.862667i | ||||
\(962\) | −22.3073 | + | 38.6374i | −0.719216 | + | 1.24572i | ||||
\(963\) | −27.0029 | + | 9.82824i | −0.870155 | + | 0.316711i | ||||
\(964\) | 3.85411 | + | 21.8577i | 0.124132 | + | 0.703990i | ||||
\(965\) | −3.73132 | + | 21.1614i | −0.120116 | + | 0.681209i | ||||
\(966\) | 14.9413 | + | 5.43820i | 0.480729 | + | 0.174971i | ||||
\(967\) | 11.1331 | − | 9.34181i | 0.358017 | − | 0.300412i | −0.445983 | − | 0.895042i | \(-0.647146\pi\) |
0.804000 | + | 0.594629i | \(0.202701\pi\) | |||||||
\(968\) | 9.10174 | 0.292541 | ||||||||
\(969\) | 1.29185 | + | 13.3397i | 0.0415002 | + | 0.428531i | ||||
\(970\) | 16.2217 | 0.520847 | ||||||||
\(971\) | 37.8612 | − | 31.7693i | 1.21502 | − | 1.01952i | 0.215952 | − | 0.976404i | \(-0.430714\pi\) |
0.999070 | − | 0.0431208i | \(-0.0137300\pi\) | |||||||
\(972\) | −19.7383 | − | 7.18414i | −0.633105 | − | 0.230431i | ||||
\(973\) | 6.47192 | − | 36.7041i | 0.207480 | − | 1.17668i | ||||
\(974\) | −1.11988 | − | 6.35114i | −0.0358832 | − | 0.203504i | ||||
\(975\) | −9.63789 | + | 3.50790i | −0.308659 | + | 0.112343i | ||||
\(976\) | −3.92300 | + | 6.79483i | −0.125572 | + | 0.217497i | ||||
\(977\) | 1.45577 | + | 2.52147i | 0.0465743 | + | 0.0806691i | 0.888373 | − | 0.459123i | \(-0.151836\pi\) |
−0.841798 | + | 0.539792i | \(0.818503\pi\) | |||||||
\(978\) | −13.3097 | − | 11.1682i | −0.425599 | − | 0.357120i | ||||
\(979\) | −19.2281 | − | 16.1343i | −0.614533 | − | 0.515655i | ||||
\(980\) | −1.47834 | − | 2.56055i | −0.0472237 | − | 0.0817939i | ||||
\(981\) | −9.75929 | + | 16.9036i | −0.311590 | + | 0.539690i | ||||
\(982\) | −22.8944 | + | 8.33289i | −0.730591 | + | 0.265913i | ||||
\(983\) | 7.16313 | + | 40.6242i | 0.228469 | + | 1.29571i | 0.855942 | + | 0.517072i | \(0.172978\pi\) |
−0.627474 | + | 0.778638i | \(0.715911\pi\) | |||||||
\(984\) | 4.53323 | − | 25.7092i | 0.144514 | − | 0.819580i | ||||
\(985\) | −14.3570 | − | 5.22553i | −0.457453 | − | 0.166499i | ||||
\(986\) | −0.129467 | + | 0.108636i | −0.00412308 | + | 0.00345968i | ||||
\(987\) | −0.571978 | −0.0182062 | ||||||||
\(988\) | −18.7958 | − | 1.46889i | −0.597975 | − | 0.0467315i | ||||
\(989\) | 24.4909 | 0.778764 | ||||||||
\(990\) | −2.76854 | + | 2.32308i | −0.0879899 | + | 0.0738323i | ||||
\(991\) | 27.2089 | + | 9.90324i | 0.864320 | + | 0.314587i | 0.735865 | − | 0.677129i | \(-0.236776\pi\) |
0.128455 | + | 0.991715i | \(0.458998\pi\) | |||||||
\(992\) | −0.0602055 | + | 0.341442i | −0.00191153 | + | 0.0108408i | ||||
\(993\) | 1.41819 | + | 8.04294i | 0.0450048 | + | 0.255235i | ||||
\(994\) | 34.5520 | − | 12.5759i | 1.09592 | − | 0.398883i | ||||
\(995\) | −0.354379 | + | 0.613802i | −0.0112346 | + | 0.0194588i | ||||
\(996\) | 13.4915 | + | 23.3679i | 0.427494 | + | 0.740442i | ||||
\(997\) | 0.503657 | + | 0.422618i | 0.0159510 | + | 0.0133844i | 0.650728 | − | 0.759311i | \(-0.274464\pi\) |
−0.634777 | + | 0.772695i | \(0.718908\pi\) | |||||||
\(998\) | −1.24460 | − | 1.04434i | −0.0393970 | − | 0.0330580i | ||||
\(999\) | −4.60918 | − | 7.98334i | −0.145828 | − | 0.252582i |
(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 | 190.2.k.d.101.3 | ✓ | 18 | |
5.2 | odd | 4 | 950.2.u.g.899.3 | 36 | |||
5.3 | odd | 4 | 950.2.u.g.899.4 | 36 | |||
5.4 | even | 2 | 950.2.l.i.101.1 | 18 | |||
19.4 | even | 9 | 3610.2.a.bi.1.2 | 9 | |||
19.15 | odd | 18 | 3610.2.a.bj.1.8 | 9 | |||
19.16 | even | 9 | inner | 190.2.k.d.111.3 | yes | 18 | |
95.54 | even | 18 | 950.2.l.i.301.1 | 18 | |||
95.73 | odd | 36 | 950.2.u.g.149.3 | 36 | |||
95.92 | odd | 36 | 950.2.u.g.149.4 | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
190.2.k.d.101.3 | ✓ | 18 | 1.1 | even | 1 | trivial | |
190.2.k.d.111.3 | yes | 18 | 19.16 | even | 9 | inner | |
950.2.l.i.101.1 | 18 | 5.4 | even | 2 | |||
950.2.l.i.301.1 | 18 | 95.54 | even | 18 | |||
950.2.u.g.149.3 | 36 | 95.73 | odd | 36 | |||
950.2.u.g.149.4 | 36 | 95.92 | odd | 36 | |||
950.2.u.g.899.3 | 36 | 5.2 | odd | 4 | |||
950.2.u.g.899.4 | 36 | 5.3 | odd | 4 | |||
3610.2.a.bi.1.2 | 9 | 19.4 | even | 9 | |||
3610.2.a.bj.1.8 | 9 | 19.15 | odd | 18 |