Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [168,2,Mod(11,168)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(168, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 3, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("168.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 168 = 2^{3} \cdot 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 168.v (of order \(6\), degree \(2\), 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: | \(1.34148675396\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 11.10 | ||
Character | \(\chi\) | \(=\) | 168.11 |
Dual form | 168.2.v.a.107.10 |
$q$-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 \(\left(\mathbb{Z}/168\mathbb{Z}\right)^\times\).
\(n\) | \(73\) | \(85\) | \(113\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.819527 | + | 1.15255i | −0.579493 | + | 0.814977i | ||||
\(3\) | −1.71959 | − | 0.207430i | −0.992803 | − | 0.119760i | ||||
\(4\) | −0.656749 | − | 1.88910i | −0.328375 | − | 0.944548i | ||||
\(5\) | −0.692094 | − | 1.19874i | −0.309514 | − | 0.536094i | 0.668742 | − | 0.743494i | \(-0.266833\pi\) |
−0.978256 | + | 0.207401i | \(0.933500\pi\) | |||||||
\(6\) | 1.64832 | − | 1.81192i | 0.672924 | − | 0.739711i | ||||
\(7\) | 2.08863 | + | 1.62408i | 0.789426 | + | 0.613845i | ||||
\(8\) | 2.71550 | + | 0.791228i | 0.960075 | + | 0.279741i | ||||
\(9\) | 2.91395 | + | 0.713387i | 0.971315 | + | 0.237796i | ||||
\(10\) | 1.94880 | + | 0.184728i | 0.616265 | + | 0.0584162i | ||||
\(11\) | 3.82316 | + | 2.20731i | 1.15273 | + | 0.665528i | 0.949550 | − | 0.313614i | \(-0.101540\pi\) |
0.203177 | + | 0.979142i | \(0.434873\pi\) | |||||||
\(12\) | 0.737481 | + | 3.38469i | 0.212893 | + | 0.977076i | ||||
\(13\) | − | 6.43609i | − | 1.78505i | −0.450999 | − | 0.892525i | \(-0.648932\pi\) | ||
0.450999 | − | 0.892525i | \(-0.351068\pi\) | |||||||
\(14\) | −3.58352 | + | 1.07627i | −0.957737 | + | 0.287645i | ||||
\(15\) | 0.941460 | + | 2.20490i | 0.243084 | + | 0.569303i | ||||
\(16\) | −3.13736 | + | 2.48132i | −0.784340 | + | 0.620331i | ||||
\(17\) | 2.52866 | + | 1.45992i | 0.613289 | + | 0.354083i | 0.774252 | − | 0.632878i | \(-0.218126\pi\) |
−0.160962 | + | 0.986961i | \(0.551460\pi\) | |||||||
\(18\) | −3.21027 | + | 2.77383i | −0.756669 | + | 0.653798i | ||||
\(19\) | 1.58928 | + | 2.75271i | 0.364606 | + | 0.631515i | 0.988713 | − | 0.149823i | \(-0.0478705\pi\) |
−0.624107 | + | 0.781339i | \(0.714537\pi\) | |||||||
\(20\) | −1.81001 | + | 2.09470i | −0.404730 | + | 0.468390i | ||||
\(21\) | −3.25469 | − | 3.22599i | −0.710231 | − | 0.703969i | ||||
\(22\) | −5.67722 | + | 2.59745i | −1.21039 | + | 0.553777i | ||||
\(23\) | −1.84696 | − | 3.19902i | −0.385117 | − | 0.667043i | 0.606668 | − | 0.794955i | \(-0.292506\pi\) |
−0.991785 | + | 0.127912i | \(0.959172\pi\) | |||||||
\(24\) | −4.50541 | − | 1.92386i | −0.919664 | − | 0.392706i | ||||
\(25\) | 1.54201 | − | 2.67084i | 0.308402 | − | 0.534169i | ||||
\(26\) | 7.41792 | + | 5.27455i | 1.45477 | + | 1.03442i | ||||
\(27\) | −4.86280 | − | 1.83117i | −0.935846 | − | 0.352409i | ||||
\(28\) | 1.69634 | − | 5.01223i | 0.320578 | − | 0.947222i | ||||
\(29\) | 6.67884 | 1.24023 | 0.620115 | − | 0.784511i | \(-0.287086\pi\) | ||||
0.620115 | + | 0.784511i | \(0.287086\pi\) | |||||||
\(30\) | −3.31281 | − | 0.721896i | −0.604834 | − | 0.131800i | ||||
\(31\) | 2.17580 | + | 1.25620i | 0.390786 | + | 0.225620i | 0.682500 | − | 0.730885i | \(-0.260893\pi\) |
−0.291715 | + | 0.956505i | \(0.594226\pi\) | |||||||
\(32\) | −0.288700 | − | 5.64948i | −0.0510355 | − | 0.998697i | ||||
\(33\) | −6.11640 | − | 4.58869i | −1.06473 | − | 0.798788i | ||||
\(34\) | −3.75494 | + | 1.71796i | −0.643966 | + | 0.294628i | ||||
\(35\) | 0.501330 | − | 3.62774i | 0.0847402 | − | 0.613200i | ||||
\(36\) | −0.566076 | − | 5.97324i | −0.0943460 | − | 0.995539i | ||||
\(37\) | −5.00149 | + | 2.88761i | −0.822240 | + | 0.474720i | −0.851188 | − | 0.524861i | \(-0.824117\pi\) |
0.0289485 | + | 0.999581i | \(0.490784\pi\) | |||||||
\(38\) | −4.47510 | − | 0.424197i | −0.725957 | − | 0.0688139i | ||||
\(39\) | −1.33504 | + | 11.0674i | −0.213777 | + | 1.77220i | ||||
\(40\) | −0.930905 | − | 3.80279i | −0.147189 | − | 0.601274i | ||||
\(41\) | − | 0.497427i | − | 0.0776850i | −0.999245 | − | 0.0388425i | \(-0.987633\pi\) | ||
0.999245 | − | 0.0388425i | \(-0.0123671\pi\) | |||||||
\(42\) | 6.38542 | − | 1.10741i | 0.985292 | − | 0.170876i | ||||
\(43\) | 0.865898 | 0.132048 | 0.0660241 | − | 0.997818i | \(-0.478969\pi\) | ||||
0.0660241 | + | 0.997818i | \(0.478969\pi\) | |||||||
\(44\) | 1.65895 | − | 8.67197i | 0.250096 | − | 1.30735i | ||||
\(45\) | −1.16156 | − | 3.98680i | −0.173155 | − | 0.594317i | ||||
\(46\) | 5.20067 | + | 0.492975i | 0.766797 | + | 0.0726852i | ||||
\(47\) | −1.59001 | − | 2.75398i | −0.231927 | − | 0.401710i | 0.726448 | − | 0.687221i | \(-0.241170\pi\) |
−0.958375 | + | 0.285512i | \(0.907836\pi\) | |||||||
\(48\) | 5.90966 | − | 3.61607i | 0.852986 | − | 0.521934i | ||||
\(49\) | 1.72472 | + | 6.78420i | 0.246388 | + | 0.969171i | ||||
\(50\) | 1.81456 | + | 3.96608i | 0.256618 | + | 0.560888i | ||||
\(51\) | −4.04541 | − | 3.03498i | −0.566471 | − | 0.424982i | ||||
\(52\) | −12.1584 | + | 4.22690i | −1.68606 | + | 0.586165i | ||||
\(53\) | −4.12906 | + | 7.15175i | −0.567171 | + | 0.982368i | 0.429673 | + | 0.902984i | \(0.358629\pi\) |
−0.996844 | + | 0.0793841i | \(0.974705\pi\) | |||||||
\(54\) | 6.09571 | − | 4.10393i | 0.829522 | − | 0.558475i | ||||
\(55\) | − | 6.11065i | − | 0.823960i | ||||||
\(56\) | 4.38665 | + | 6.06278i | 0.586191 | + | 0.810173i | ||||
\(57\) | −2.16191 | − | 5.06319i | −0.286351 | − | 0.670635i | ||||
\(58\) | −5.47350 | + | 7.69771i | −0.718705 | + | 1.01076i | ||||
\(59\) | −6.62279 | − | 3.82367i | −0.862214 | − | 0.497799i | 0.00253919 | − | 0.999997i | \(-0.499192\pi\) |
−0.864753 | + | 0.502197i | \(0.832525\pi\) | |||||||
\(60\) | 3.54696 | − | 3.22657i | 0.457911 | − | 0.416549i | ||||
\(61\) | 2.99321 | − | 1.72813i | 0.383241 | − | 0.221265i | −0.295986 | − | 0.955192i | \(-0.595648\pi\) |
0.679228 | + | 0.733928i | \(0.262315\pi\) | |||||||
\(62\) | −3.23096 | + | 1.47823i | −0.410333 | + | 0.187736i | ||||
\(63\) | 4.92754 | + | 6.22248i | 0.620812 | + | 0.783959i | ||||
\(64\) | 6.74792 | + | 4.29716i | 0.843490 | + | 0.537146i | ||||
\(65\) | −7.71521 | + | 4.45438i | −0.956954 | + | 0.552497i | ||||
\(66\) | 10.3013 | − | 3.28890i | 1.26800 | − | 0.404836i | ||||
\(67\) | −3.36806 | + | 5.83364i | −0.411473 | + | 0.712693i | −0.995051 | − | 0.0993644i | \(-0.968319\pi\) |
0.583578 | + | 0.812057i | \(0.301652\pi\) | |||||||
\(68\) | 1.09724 | − | 5.73567i | 0.133059 | − | 0.695553i | ||||
\(69\) | 2.51243 | + | 5.88411i | 0.302461 | + | 0.708363i | ||||
\(70\) | 3.77030 | + | 3.55084i | 0.450638 | + | 0.424407i | ||||
\(71\) | −1.90437 | −0.226007 | −0.113004 | − | 0.993595i | \(-0.536047\pi\) | ||||
−0.113004 | + | 0.993595i | \(0.536047\pi\) | |||||||
\(72\) | 7.34838 | + | 4.24280i | 0.866015 | + | 0.500019i | ||||
\(73\) | 3.23515 | − | 5.60345i | 0.378646 | − | 0.655834i | −0.612219 | − | 0.790688i | \(-0.709723\pi\) |
0.990866 | + | 0.134854i | \(0.0430564\pi\) | |||||||
\(74\) | 0.770738 | − | 8.13095i | 0.0895964 | − | 0.945204i | ||||
\(75\) | −3.20563 | + | 4.27288i | −0.370155 | + | 0.493390i | ||||
\(76\) | 4.15638 | − | 4.81014i | 0.476769 | − | 0.551761i | ||||
\(77\) | 4.40032 | + | 10.8194i | 0.501463 | + | 1.23298i | ||||
\(78\) | −11.6616 | − | 10.6087i | −1.32042 | − | 1.20120i | ||||
\(79\) | 1.65073 | − | 0.953048i | 0.185721 | − | 0.107226i | −0.404257 | − | 0.914646i | \(-0.632470\pi\) |
0.589978 | + | 0.807419i | \(0.299136\pi\) | |||||||
\(80\) | 5.14582 | + | 2.04358i | 0.575320 | + | 0.228479i | ||||
\(81\) | 7.98216 | + | 4.15754i | 0.886906 | + | 0.461949i | ||||
\(82\) | 0.573310 | + | 0.407655i | 0.0633115 | + | 0.0450179i | ||||
\(83\) | 7.00064i | 0.768420i | 0.923246 | + | 0.384210i | \(0.125526\pi\) | ||||
−0.923246 | + | 0.384210i | \(0.874474\pi\) | |||||||
\(84\) | −3.95669 | + | 8.26708i | −0.431710 | + | 0.902012i | ||||
\(85\) | − | 4.04161i | − | 0.438374i | ||||||
\(86\) | −0.709627 | + | 0.997992i | −0.0765210 | + | 0.107616i | ||||
\(87\) | −11.4848 | − | 1.38539i | −1.23130 | − | 0.148530i | ||||
\(88\) | 8.63533 | + | 9.01894i | 0.920530 | + | 0.961422i | ||||
\(89\) | −8.22776 | + | 4.75030i | −0.872141 | + | 0.503531i | −0.868059 | − | 0.496461i | \(-0.834633\pi\) |
−0.00408165 | + | 0.999992i | \(0.501299\pi\) | |||||||
\(90\) | 5.54692 | + | 1.92854i | 0.584697 | + | 0.203286i | ||||
\(91\) | 10.4527 | − | 13.4426i | 1.09574 | − | 1.40916i | ||||
\(92\) | −4.83027 | + | 5.59004i | −0.503591 | + | 0.582801i | ||||
\(93\) | −3.48090 | − | 2.61147i | −0.360953 | − | 0.270797i | ||||
\(94\) | 4.47717 | + | 0.424393i | 0.461785 | + | 0.0437728i | ||||
\(95\) | 2.19986 | − | 3.81027i | 0.225701 | − | 0.390926i | ||||
\(96\) | −0.675427 | + | 9.77465i | −0.0689355 | + | 0.997621i | ||||
\(97\) | 1.19214 | 0.121044 | 0.0605218 | − | 0.998167i | \(-0.480724\pi\) | ||||
0.0605218 | + | 0.998167i | \(0.480724\pi\) | |||||||
\(98\) | −9.23259 | − | 3.57201i | −0.932632 | − | 0.360828i | ||||
\(99\) | 9.56583 | + | 9.15936i | 0.961402 | + | 0.920551i | ||||
\(100\) | −6.05819 | − | 1.15893i | −0.605819 | − | 0.115893i | ||||
\(101\) | −1.03566 | + | 1.79382i | −0.103052 | + | 0.178491i | −0.912941 | − | 0.408092i | \(-0.866194\pi\) |
0.809889 | + | 0.586584i | \(0.199527\pi\) | |||||||
\(102\) | 6.81329 | − | 2.17529i | 0.674616 | − | 0.215386i | ||||
\(103\) | −4.80043 | + | 2.77153i | −0.473000 | + | 0.273087i | −0.717495 | − | 0.696564i | \(-0.754711\pi\) |
0.244495 | + | 0.969651i | \(0.421378\pi\) | |||||||
\(104\) | 5.09241 | − | 17.4772i | 0.499352 | − | 1.71378i | ||||
\(105\) | −1.61458 | + | 6.13422i | −0.157567 | + | 0.598638i | ||||
\(106\) | −4.85888 | − | 10.6200i | −0.471936 | − | 1.03151i | ||||
\(107\) | 5.17522 | − | 2.98792i | 0.500308 | − | 0.288853i | −0.228533 | − | 0.973536i | \(-0.573393\pi\) |
0.728841 | + | 0.684683i | \(0.240060\pi\) | |||||||
\(108\) | −0.265612 | + | 10.3889i | −0.0255585 | + | 0.999673i | ||||
\(109\) | 1.43595 | + | 0.829048i | 0.137539 | + | 0.0794084i | 0.567191 | − | 0.823586i | \(-0.308030\pi\) |
−0.429651 | + | 0.902995i | \(0.641364\pi\) | |||||||
\(110\) | 7.04284 | + | 5.00785i | 0.671508 | + | 0.477479i | ||||
\(111\) | 9.19946 | − | 3.92803i | 0.873174 | − | 0.372832i | ||||
\(112\) | −10.5826 | + | 0.0872278i | −0.999966 | + | 0.00824226i | ||||
\(113\) | − | 16.4545i | − | 1.54791i | −0.633241 | − | 0.773955i | \(-0.718276\pi\) | ||
0.633241 | − | 0.773955i | \(-0.281724\pi\) | |||||||
\(114\) | 7.60732 | + | 1.65771i | 0.712491 | + | 0.155259i | ||||
\(115\) | −2.55654 | + | 4.42805i | −0.238398 | + | 0.412918i | ||||
\(116\) | −4.38633 | − | 12.6170i | −0.407260 | − | 1.17146i | ||||
\(117\) | 4.59142 | − | 18.7544i | 0.424477 | − | 1.73385i | ||||
\(118\) | 9.83453 | − | 4.49950i | 0.905342 | − | 0.414213i | ||||
\(119\) | 2.91039 | + | 7.15597i | 0.266795 | + | 0.655987i | ||||
\(120\) | 0.811958 | + | 6.73232i | 0.0741213 | + | 0.614574i | ||||
\(121\) | 4.24439 | + | 7.35150i | 0.385854 | + | 0.668318i | ||||
\(122\) | −0.461259 | + | 4.86608i | −0.0417604 | + | 0.440554i | ||||
\(123\) | −0.103181 | + | 0.855367i | −0.00930353 | + | 0.0771259i | ||||
\(124\) | 0.944124 | − | 4.93531i | 0.0847849 | − | 0.443204i | ||||
\(125\) | −11.1898 | −1.00085 | ||||||||
\(126\) | −11.2100 | + | 0.579750i | −0.998665 | + | 0.0516483i | ||||
\(127\) | 2.31360i | 0.205299i | 0.994718 | + | 0.102649i | \(0.0327319\pi\) | ||||
−0.994718 | + | 0.102649i | \(0.967268\pi\) | |||||||
\(128\) | −10.4828 | + | 4.25568i | −0.926558 | + | 0.376152i | ||||
\(129\) | −1.48898 | − | 0.179613i | −0.131098 | − | 0.0158141i | ||||
\(130\) | 1.18893 | − | 12.5427i | 0.104276 | − | 1.10006i | ||||
\(131\) | 4.11383 | − | 2.37512i | 0.359427 | − | 0.207515i | −0.309402 | − | 0.950931i | \(-0.600129\pi\) |
0.668830 | + | 0.743416i | \(0.266796\pi\) | |||||||
\(132\) | −4.65153 | + | 14.5681i | −0.404864 | + | 1.26799i | ||||
\(133\) | −1.15122 | + | 8.33050i | −0.0998234 | + | 0.722346i | ||||
\(134\) | −3.96336 | − | 8.66269i | −0.342382 | − | 0.748342i | ||||
\(135\) | 1.17042 | + | 7.09658i | 0.100733 | + | 0.610777i | ||||
\(136\) | 5.71145 | + | 5.96516i | 0.489752 | + | 0.511508i | ||||
\(137\) | 0.290760 | + | 0.167870i | 0.0248413 | + | 0.0143421i | 0.512369 | − | 0.858765i | \(-0.328768\pi\) |
−0.487528 | + | 0.873107i | \(0.662101\pi\) | |||||||
\(138\) | −8.84074 | − | 1.92649i | −0.752574 | − | 0.163994i | ||||
\(139\) | −9.35410 | −0.793405 | −0.396702 | − | 0.917947i | \(-0.629845\pi\) | ||||
−0.396702 | + | 0.917947i | \(0.629845\pi\) | |||||||
\(140\) | −7.18240 | + | 1.43546i | −0.607023 | + | 0.121318i | ||||
\(141\) | 2.16290 | + | 5.06553i | 0.182149 | + | 0.426594i | ||||
\(142\) | 1.56069 | − | 2.19489i | 0.130970 | − | 0.184191i | ||||
\(143\) | 14.2064 | − | 24.6062i | 1.18800 | − | 2.05768i | ||||
\(144\) | −10.9122 | + | 4.99229i | −0.909354 | + | 0.416024i | ||||
\(145\) | −4.62239 | − | 8.00621i | −0.383868 | − | 0.664880i | ||||
\(146\) | 3.80697 | + | 8.32086i | 0.315067 | + | 0.688639i | ||||
\(147\) | −1.55855 | − | 12.0238i | −0.128547 | − | 0.991703i | ||||
\(148\) | 8.73970 | + | 7.55185i | 0.718399 | + | 0.620758i | ||||
\(149\) | −1.03566 | − | 1.79382i | −0.0848446 | − | 0.146955i | 0.820480 | − | 0.571675i | \(-0.193706\pi\) |
−0.905325 | + | 0.424720i | \(0.860373\pi\) | |||||||
\(150\) | −2.29761 | − | 7.19640i | −0.187599 | − | 0.587584i | ||||
\(151\) | −20.2661 | − | 11.7007i | −1.64923 | − | 0.952186i | −0.977377 | − | 0.211506i | \(-0.932163\pi\) |
−0.671858 | − | 0.740680i | \(-0.734504\pi\) | |||||||
\(152\) | 2.13767 | + | 8.73248i | 0.173388 | + | 0.708298i | ||||
\(153\) | 6.32688 | + | 6.05804i | 0.511498 | + | 0.489763i | ||||
\(154\) | −16.0761 | − | 3.79518i | −1.29545 | − | 0.305824i | ||||
\(155\) | − | 3.47763i | − | 0.279330i | ||||||
\(156\) | 21.7842 | − | 4.74649i | 1.74413 | − | 0.380024i | ||||
\(157\) | 19.3264 | + | 11.1581i | 1.54241 | + | 0.890511i | 0.998686 | + | 0.0512477i | \(0.0163198\pi\) |
0.543725 | + | 0.839264i | \(0.317014\pi\) | |||||||
\(158\) | −0.254380 | + | 2.68360i | −0.0202374 | + | 0.213496i | ||||
\(159\) | 8.58377 | − | 11.4416i | 0.680737 | − | 0.907374i | ||||
\(160\) | −6.57246 | + | 4.25605i | −0.519599 | + | 0.336470i | ||||
\(161\) | 1.33787 | − | 9.68118i | 0.105439 | − | 0.762983i | ||||
\(162\) | −11.3334 | + | 5.79263i | −0.890434 | + | 0.455112i | ||||
\(163\) | −8.50029 | − | 14.7229i | −0.665794 | − | 1.15319i | −0.979069 | − | 0.203526i | \(-0.934760\pi\) |
0.313276 | − | 0.949662i | \(-0.398574\pi\) | |||||||
\(164\) | −0.939686 | + | 0.326685i | −0.0733772 | + | 0.0255098i | ||||
\(165\) | −1.26753 | + | 10.5078i | −0.0986772 | + | 0.818030i | ||||
\(166\) | −8.06859 | − | 5.73721i | −0.626244 | − | 0.445294i | ||||
\(167\) | −23.9142 | −1.85054 | −0.925269 | − | 0.379311i | \(-0.876161\pi\) | ||||
−0.925269 | + | 0.379311i | \(0.876161\pi\) | |||||||
\(168\) | −6.28562 | − | 11.3354i | −0.484946 | − | 0.874544i | ||||
\(169\) | −28.4232 | −2.18640 | ||||||||
\(170\) | 4.65816 | + | 3.31221i | 0.357265 | + | 0.254035i | ||||
\(171\) | 2.66732 | + | 9.15502i | 0.203975 | + | 0.700102i | ||||
\(172\) | −0.568678 | − | 1.63576i | −0.0433613 | − | 0.124726i | ||||
\(173\) | 4.38442 | + | 7.59404i | 0.333341 | + | 0.577364i | 0.983165 | − | 0.182721i | \(-0.0584906\pi\) |
−0.649824 | + | 0.760085i | \(0.725157\pi\) | |||||||
\(174\) | 11.0089 | − | 12.1015i | 0.834581 | − | 0.917412i | ||||
\(175\) | 7.55835 | − | 3.07404i | 0.571358 | − | 0.232375i | ||||
\(176\) | −17.4717 | + | 2.56140i | −1.31698 | + | 0.193073i | ||||
\(177\) | 10.5953 | + | 7.94889i | 0.796392 | + | 0.597475i | ||||
\(178\) | 1.26791 | − | 13.3759i | 0.0950340 | − | 1.00257i | ||||
\(179\) | 5.26665 | + | 3.04070i | 0.393648 | + | 0.227273i | 0.683740 | − | 0.729726i | \(-0.260352\pi\) |
−0.290092 | + | 0.956999i | \(0.593686\pi\) | |||||||
\(180\) | −6.76859 | + | 4.81262i | −0.504501 | + | 0.358712i | ||||
\(181\) | 11.5816i | 0.860857i | 0.902625 | + | 0.430429i | \(0.141638\pi\) | ||||
−0.902625 | + | 0.430429i | \(0.858362\pi\) | |||||||
\(182\) | 6.92696 | + | 23.0639i | 0.513460 | + | 1.70961i | ||||
\(183\) | −5.50555 | + | 2.35079i | −0.406982 | + | 0.173775i | ||||
\(184\) | −2.48426 | − | 10.1483i | −0.183142 | − | 0.748144i | ||||
\(185\) | 6.92300 | + | 3.99700i | 0.508989 | + | 0.293865i | ||||
\(186\) | 5.86255 | − | 1.87175i | 0.429863 | − | 0.137243i | ||||
\(187\) | 6.44498 | + | 11.1630i | 0.471304 | + | 0.816322i | ||||
\(188\) | −4.15830 | + | 4.81236i | −0.303275 | + | 0.350978i | ||||
\(189\) | −7.18260 | − | 11.7222i | −0.522457 | − | 0.852665i | ||||
\(190\) | 2.58869 | + | 5.65807i | 0.187803 | + | 0.410480i | ||||
\(191\) | −0.757053 | − | 1.31125i | −0.0547784 | − | 0.0948790i | 0.837336 | − | 0.546689i | \(-0.184112\pi\) |
−0.892114 | + | 0.451810i | \(0.850779\pi\) | |||||||
\(192\) | −10.7123 | − | 8.78906i | −0.773090 | − | 0.634296i | ||||
\(193\) | −7.97806 | + | 13.8184i | −0.574273 | + | 0.994670i | 0.421847 | + | 0.906667i | \(0.361382\pi\) |
−0.996120 | + | 0.0880034i | \(0.971951\pi\) | |||||||
\(194\) | −0.976993 | + | 1.37401i | −0.0701440 | + | 0.0986478i | ||||
\(195\) | 14.1909 | − | 6.05931i | 1.01623 | − | 0.433917i | ||||
\(196\) | 11.6833 | − | 7.71367i | 0.834521 | − | 0.550977i | ||||
\(197\) | −0.963016 | −0.0686121 | −0.0343060 | − | 0.999411i | \(-0.510922\pi\) | ||||
−0.0343060 | + | 0.999411i | \(0.510922\pi\) | |||||||
\(198\) | −18.3961 | + | 3.51876i | −1.30735 | + | 0.250068i | ||||
\(199\) | 1.72593 | + | 0.996469i | 0.122348 | + | 0.0706378i | 0.559925 | − | 0.828543i | \(-0.310830\pi\) |
−0.437577 | + | 0.899181i | \(0.644163\pi\) | |||||||
\(200\) | 6.30058 | − | 6.03260i | 0.445519 | − | 0.426569i | ||||
\(201\) | 7.00173 | − | 9.33281i | 0.493864 | − | 0.658286i | ||||
\(202\) | −1.21871 | − | 2.66373i | −0.0857484 | − | 0.187420i | ||||
\(203\) | 13.9496 | + | 10.8470i | 0.979070 | + | 0.761309i | ||||
\(204\) | −3.07654 | + | 9.63538i | −0.215401 | + | 0.674612i | ||||
\(205\) | −0.596286 | + | 0.344266i | −0.0416464 | + | 0.0240446i | ||||
\(206\) | 0.739754 | − | 7.80408i | 0.0515411 | − | 0.543736i | ||||
\(207\) | −3.09979 | − | 10.6394i | −0.215450 | − | 0.739488i | ||||
\(208\) | 15.9700 | + | 20.1923i | 1.10732 | + | 1.40009i | ||||
\(209\) | 14.0321i | 0.970620i | ||||||||
\(210\) | −5.74681 | − | 6.88805i | −0.396567 | − | 0.475320i | ||||
\(211\) | 21.4567 | 1.47714 | 0.738569 | − | 0.674178i | \(-0.235502\pi\) | ||||
0.738569 | + | 0.674178i | \(0.235502\pi\) | |||||||
\(212\) | 16.2221 | + | 3.10329i | 1.11414 | + | 0.213135i | ||||
\(213\) | 3.27473 | + | 0.395024i | 0.224381 | + | 0.0270666i | ||||
\(214\) | −0.797511 | + | 8.41339i | −0.0545167 | + | 0.575128i | ||||
\(215\) | −0.599283 | − | 1.03799i | −0.0408707 | − | 0.0707902i | ||||
\(216\) | −11.7561 | − | 8.82013i | −0.799900 | − | 0.600134i | ||||
\(217\) | 2.50427 | + | 6.15741i | 0.170001 | + | 0.417992i | ||||
\(218\) | −2.13232 | + | 0.975582i | −0.144419 | + | 0.0660747i | ||||
\(219\) | −6.72544 | + | 8.96454i | −0.454463 | + | 0.605768i | ||||
\(220\) | −11.5436 | + | 4.01317i | −0.778269 | + | 0.270568i | ||||
\(221\) | 9.39617 | − | 16.2747i | 0.632055 | − | 1.09475i | ||||
\(222\) | −3.01195 | + | 13.8220i | −0.202149 | + | 0.927671i | ||||
\(223\) | 12.1938i | 0.816559i | 0.912857 | + | 0.408279i | \(0.133871\pi\) | ||||
−0.912857 | + | 0.408279i | \(0.866129\pi\) | |||||||
\(224\) | 8.57223 | − | 12.2685i | 0.572757 | − | 0.819726i | ||||
\(225\) | 6.39868 | − | 6.68264i | 0.426579 | − | 0.445509i | ||||
\(226\) | 18.9647 | + | 13.4849i | 1.26151 | + | 0.897004i | ||||
\(227\) | −13.5954 | − | 7.84932i | −0.902360 | − | 0.520978i | −0.0243951 | − | 0.999702i | \(-0.507766\pi\) |
−0.877965 | + | 0.478724i | \(0.841099\pi\) | |||||||
\(228\) | −8.14501 | + | 7.40929i | −0.539417 | + | 0.490692i | ||||
\(229\) | −10.4894 | + | 6.05608i | −0.693161 | + | 0.400197i | −0.804795 | − | 0.593553i | \(-0.797725\pi\) |
0.111634 | + | 0.993749i | \(0.464392\pi\) | |||||||
\(230\) | −3.00840 | − | 6.57545i | −0.198368 | − | 0.433572i | ||||
\(231\) | −5.32246 | − | 19.5176i | −0.350192 | − | 1.28416i | ||||
\(232\) | 18.1364 | + | 5.28449i | 1.19071 | + | 0.346944i | ||||
\(233\) | −5.05877 | + | 2.92068i | −0.331411 | + | 0.191340i | −0.656468 | − | 0.754354i | \(-0.727950\pi\) |
0.325056 | + | 0.945695i | \(0.394617\pi\) | |||||||
\(234\) | 17.8526 | + | 20.6616i | 1.16706 | + | 1.35069i | ||||
\(235\) | −2.20088 | + | 3.81203i | −0.143569 | + | 0.248670i | ||||
\(236\) | −2.87376 | + | 15.0223i | −0.187066 | + | 0.977867i | ||||
\(237\) | −3.03626 | + | 1.29644i | −0.197226 | + | 0.0842126i | ||||
\(238\) | −10.6328 | − | 2.51015i | −0.689220 | − | 0.162709i | ||||
\(239\) | 22.6171 | 1.46298 | 0.731490 | − | 0.681852i | \(-0.238825\pi\) | ||||
0.731490 | + | 0.681852i | \(0.238825\pi\) | |||||||
\(240\) | −8.42477 | − | 4.58150i | −0.543817 | − | 0.295735i | ||||
\(241\) | 12.7459 | − | 22.0766i | 0.821038 | − | 1.42208i | −0.0838714 | − | 0.996477i | \(-0.526729\pi\) |
0.904910 | − | 0.425604i | \(-0.139938\pi\) | |||||||
\(242\) | −11.9514 | − | 1.13288i | −0.768264 | − | 0.0728242i | ||||
\(243\) | −12.8636 | − | 8.80499i | −0.825200 | − | 0.564840i | ||||
\(244\) | −5.23039 | − | 4.51951i | −0.334842 | − | 0.289332i | ||||
\(245\) | 6.93884 | − | 6.76279i | 0.443306 | − | 0.432059i | ||||
\(246\) | −0.901295 | − | 0.819919i | −0.0574645 | − | 0.0522761i | ||||
\(247\) | 17.7167 | − | 10.2287i | 1.12729 | − | 0.650839i | ||||
\(248\) | 4.91446 | + | 5.13277i | 0.312068 | + | 0.325931i | ||||
\(249\) | 1.45214 | − | 12.0382i | 0.0920258 | − | 0.762889i | ||||
\(250\) | 9.17036 | − | 12.8968i | 0.579984 | − | 0.815667i | ||||
\(251\) | 1.11008i | 0.0700675i | 0.999386 | + | 0.0350338i | \(0.0111539\pi\) | ||||
−0.999386 | + | 0.0350338i | \(0.988846\pi\) | |||||||
\(252\) | 8.51870 | − | 13.3952i | 0.536628 | − | 0.843819i | ||||
\(253\) | − | 16.3072i | − | 1.02522i | ||||||
\(254\) | −2.66654 | − | 1.89606i | −0.167314 | − | 0.118969i | ||||
\(255\) | −0.838351 | + | 6.94989i | −0.0524996 | + | 0.435219i | ||||
\(256\) | 3.68606 | − | 15.5696i | 0.230379 | − | 0.973101i | ||||
\(257\) | 12.0906 | − | 6.98049i | 0.754188 | − | 0.435431i | −0.0730169 | − | 0.997331i | \(-0.523263\pi\) |
0.827205 | + | 0.561900i | \(0.189929\pi\) | |||||||
\(258\) | 1.42728 | − | 1.56893i | 0.0888584 | − | 0.0976775i | ||||
\(259\) | −15.1360 | − | 2.09169i | −0.940503 | − | 0.129971i | ||||
\(260\) | 13.4817 | + | 11.6494i | 0.836099 | + | 0.722462i | ||||
\(261\) | 19.4618 | + | 4.76460i | 1.20465 | + | 0.294921i | ||||
\(262\) | −0.633949 | + | 6.68788i | −0.0391655 | + | 0.413179i | ||||
\(263\) | −7.08483 | + | 12.2713i | −0.436870 | + | 0.756680i | −0.997446 | − | 0.0714223i | \(-0.977246\pi\) |
0.560577 | + | 0.828103i | \(0.310580\pi\) | |||||||
\(264\) | −12.9784 | − | 17.3001i | −0.798765 | − | 1.06475i | ||||
\(265\) | 11.4308 | 0.702189 | ||||||||
\(266\) | −8.65788 | − | 8.15392i | −0.530849 | − | 0.499949i | ||||
\(267\) | 15.1337 | − | 6.46186i | 0.926166 | − | 0.395459i | ||||
\(268\) | 13.2323 | + | 2.53134i | 0.808290 | + | 0.154626i | ||||
\(269\) | −9.11023 | + | 15.7794i | −0.555461 | + | 0.962086i | 0.442407 | + | 0.896814i | \(0.354125\pi\) |
−0.997868 | + | 0.0652716i | \(0.979209\pi\) | |||||||
\(270\) | −9.13836 | − | 4.46688i | −0.556143 | − | 0.271846i | ||||
\(271\) | −21.9278 | + | 12.6600i | −1.33202 | + | 0.769041i | −0.985609 | − | 0.169042i | \(-0.945933\pi\) |
−0.346410 | + | 0.938083i | \(0.612599\pi\) | |||||||
\(272\) | −11.5558 | + | 1.69412i | −0.700676 | + | 0.102721i | ||||
\(273\) | −20.7628 | + | 20.9474i | −1.25662 | + | 1.26780i | ||||
\(274\) | −0.431765 | + | 0.197542i | −0.0260839 | + | 0.0119339i | ||||
\(275\) | 11.7907 | − | 6.80738i | 0.711008 | − | 0.410500i | ||||
\(276\) | 9.46561 | − | 8.61060i | 0.569763 | − | 0.518297i | ||||
\(277\) | −16.2822 | − | 9.40051i | −0.978300 | − | 0.564822i | −0.0765434 | − | 0.997066i | \(-0.524388\pi\) |
−0.901756 | + | 0.432245i | \(0.857722\pi\) | |||||||
\(278\) | 7.66594 | − | 10.7811i | 0.459773 | − | 0.646606i | ||||
\(279\) | 5.44401 | + | 5.21269i | 0.325924 | + | 0.312075i | ||||
\(280\) | 4.23173 | − | 9.45448i | 0.252894 | − | 0.565013i | ||||
\(281\) | 25.4910i | 1.52067i | 0.649533 | + | 0.760333i | \(0.274964\pi\) | ||||
−0.649533 | + | 0.760333i | \(0.725036\pi\) | |||||||
\(282\) | −7.61084 | − | 1.65848i | −0.453219 | − | 0.0987610i | ||||
\(283\) | −6.01848 | + | 10.4243i | −0.357761 | + | 0.619661i | −0.987586 | − | 0.157076i | \(-0.949793\pi\) |
0.629825 | + | 0.776737i | \(0.283126\pi\) | |||||||
\(284\) | 1.25070 | + | 3.59754i | 0.0742151 | + | 0.213475i | ||||
\(285\) | −4.57321 | + | 6.09577i | −0.270894 | + | 0.361082i | ||||
\(286\) | 16.7174 | + | 36.5391i | 0.988520 | + | 2.16060i | ||||
\(287\) | 0.807861 | − | 1.03894i | 0.0476865 | − | 0.0613266i | ||||
\(288\) | 3.18901 | − | 16.6682i | 0.187914 | − | 0.982185i | ||||
\(289\) | −4.23726 | − | 7.33916i | −0.249251 | − | 0.431715i | ||||
\(290\) | 13.0157 | + | 1.23377i | 0.764311 | + | 0.0724495i | ||||
\(291\) | −2.04999 | − | 0.247286i | −0.120173 | − | 0.0144962i | ||||
\(292\) | −12.7101 | − | 2.43145i | −0.743804 | − | 0.142290i | ||||
\(293\) | 3.90464 | 0.228111 | 0.114056 | − | 0.993474i | \(-0.463616\pi\) | ||||
0.114056 | + | 0.993474i | \(0.463616\pi\) | |||||||
\(294\) | 15.1353 | + | 8.05750i | 0.882708 | + | 0.469923i | ||||
\(295\) | 10.5854i | 0.616303i | ||||||||
\(296\) | −15.8663 | + | 3.88400i | −0.922211 | + | 0.225753i | ||||
\(297\) | −14.5493 | − | 17.7345i | −0.844238 | − | 1.02906i | ||||
\(298\) | 2.91622 | + | 0.276430i | 0.168932 | + | 0.0160132i | ||||
\(299\) | −20.5892 | + | 11.8872i | −1.19070 | + | 0.687453i | ||||
\(300\) | 10.1772 | + | 3.24953i | 0.587580 | + | 0.187612i | ||||
\(301\) | 1.80854 | + | 1.40629i | 0.104242 | + | 0.0810571i | ||||
\(302\) | 30.0943 | − | 13.7688i | 1.73173 | − | 0.792303i | ||||
\(303\) | 2.15300 | − | 2.86979i | 0.123686 | − | 0.164865i | ||||
\(304\) | −11.8165 | − | 4.69273i | −0.677723 | − | 0.269147i | ||||
\(305\) | −4.14317 | − | 2.39206i | −0.237237 | − | 0.136969i | ||||
\(306\) | −12.1673 | + | 2.32732i | −0.695556 | + | 0.133044i | ||||
\(307\) | −11.0339 | −0.629740 | −0.314870 | − | 0.949135i | \(-0.601961\pi\) | ||||
−0.314870 | + | 0.949135i | \(0.601961\pi\) | |||||||
\(308\) | 17.5489 | − | 15.4182i | 0.999942 | − | 0.878535i | ||||
\(309\) | 8.82964 | − | 3.77013i | 0.502301 | − | 0.214475i | ||||
\(310\) | 4.00815 | + | 2.85002i | 0.227648 | + | 0.161870i | ||||
\(311\) | −15.6553 | + | 27.1158i | −0.887732 | + | 1.53760i | −0.0451815 | + | 0.998979i | \(0.514387\pi\) |
−0.842550 | + | 0.538618i | \(0.818947\pi\) | |||||||
\(312\) | −12.3821 | + | 28.9972i | −0.701000 | + | 1.64165i | ||||
\(313\) | 6.53063 | + | 11.3114i | 0.369133 | + | 0.639357i | 0.989430 | − | 0.145010i | \(-0.0463213\pi\) |
−0.620297 | + | 0.784367i | \(0.712988\pi\) | |||||||
\(314\) | −28.6987 | + | 13.1303i | −1.61956 | + | 0.740984i | ||||
\(315\) | 4.04883 | − | 10.2134i | 0.228126 | − | 0.575460i | ||||
\(316\) | −2.88451 | − | 2.49247i | −0.162267 | − | 0.140212i | ||||
\(317\) | −12.2315 | − | 21.1856i | −0.686990 | − | 1.18990i | −0.972807 | − | 0.231618i | \(-0.925598\pi\) |
0.285817 | − | 0.958284i | \(-0.407735\pi\) | |||||||
\(318\) | 6.15234 | + | 19.2699i | 0.345006 | + | 1.08060i | ||||
\(319\) | 25.5343 | + | 14.7422i | 1.42965 | + | 0.825407i | ||||
\(320\) | 0.480999 | − | 11.0631i | 0.0268886 | − | 0.618443i | ||||
\(321\) | −9.51902 | + | 4.06448i | −0.531300 | + | 0.226857i | ||||
\(322\) | 10.0616 | + | 9.47596i | 0.560713 | + | 0.528074i | ||||
\(323\) | 9.28088i | 0.516402i | ||||||||
\(324\) | 2.61171 | − | 17.8095i | 0.145095 | − | 0.989418i | ||||
\(325\) | −17.1898 | − | 9.92452i | −0.953517 | − | 0.550513i | ||||
\(326\) | 23.9352 | + | 2.26883i | 1.32565 | + | 0.125659i | ||||
\(327\) | −2.29727 | − | 1.72348i | −0.127039 | − | 0.0953085i | ||||
\(328\) | 0.393578 | − | 1.35076i | 0.0217317 | − | 0.0745834i | ||||
\(329\) | 1.15175 | − | 8.33435i | 0.0634981 | − | 0.459488i | ||||
\(330\) | −11.0720 | − | 10.0723i | −0.609493 | − | 0.554463i | ||||
\(331\) | −7.26267 | − | 12.5793i | −0.399192 | − | 0.691422i | 0.594434 | − | 0.804144i | \(-0.297376\pi\) |
−0.993626 | + | 0.112723i | \(0.964043\pi\) | |||||||
\(332\) | 13.2249 | − | 4.59766i | 0.725809 | − | 0.252330i | ||||
\(333\) | −16.6341 | + | 4.84634i | −0.911540 | + | 0.265578i | ||||
\(334\) | 19.5984 | − | 27.5624i | 1.07237 | − | 1.50815i | ||||
\(335\) | 9.32404 | 0.509427 | ||||||||
\(336\) | 18.2159 | + | 2.04516i | 0.993756 | + | 0.111573i | ||||
\(337\) | −18.7954 | −1.02385 | −0.511924 | − | 0.859030i | \(-0.671067\pi\) | ||||
−0.511924 | + | 0.859030i | \(0.671067\pi\) | |||||||
\(338\) | 23.2936 | − | 32.7592i | 1.26700 | − | 1.78187i | ||||
\(339\) | −3.41316 | + | 28.2949i | −0.185377 | + | 1.53677i | ||||
\(340\) | −7.63498 | + | 2.65432i | −0.414065 | + | 0.143951i | ||||
\(341\) | 5.54563 | + | 9.60532i | 0.300313 | + | 0.520157i | ||||
\(342\) | −12.7376 | − | 4.42857i | −0.688769 | − | 0.239469i | ||||
\(343\) | −7.41581 | + | 16.9707i | −0.400416 | + | 0.916334i | ||||
\(344\) | 2.35135 | + | 0.685122i | 0.126776 | + | 0.0369393i | ||||
\(345\) | 5.31469 | − | 7.08411i | 0.286133 | − | 0.381396i | ||||
\(346\) | −12.3457 | − | 1.17025i | −0.663707 | − | 0.0629132i | ||||
\(347\) | −20.7411 | − | 11.9749i | −1.11344 | − | 0.642846i | −0.173723 | − | 0.984795i | \(-0.555580\pi\) |
−0.939719 | + | 0.341949i | \(0.888913\pi\) | |||||||
\(348\) | 4.92552 | + | 22.6058i | 0.264036 | + | 1.21180i | ||||
\(349\) | 3.59423i | 0.192395i | 0.995362 | + | 0.0961974i | \(0.0306680\pi\) | ||||
−0.995362 | + | 0.0961974i | \(0.969332\pi\) | |||||||
\(350\) | −2.65129 | + | 11.2306i | −0.141717 | + | 0.600303i | ||||
\(351\) | −11.7856 | + | 31.2974i | −0.629067 | + | 1.67053i | ||||
\(352\) | 11.3664 | − | 22.2362i | 0.605830 | − | 1.18519i | ||||
\(353\) | 22.4603 | + | 12.9675i | 1.19544 | + | 0.690189i | 0.959536 | − | 0.281587i | \(-0.0908607\pi\) |
0.235907 | + | 0.971776i | \(0.424194\pi\) | |||||||
\(354\) | −17.8447 | + | 5.69730i | −0.948432 | + | 0.302808i | ||||
\(355\) | 1.31800 | + | 2.28285i | 0.0699524 | + | 0.121161i | ||||
\(356\) | 14.3773 | + | 12.4233i | 0.761998 | + | 0.658432i | ||||
\(357\) | −3.52030 | − | 12.9090i | −0.186314 | − | 0.683217i | ||||
\(358\) | −7.82073 | + | 3.57815i | −0.413338 | + | 0.189111i | ||||
\(359\) | 14.1756 | + | 24.5529i | 0.748162 | + | 1.29585i | 0.948703 | + | 0.316169i | \(0.102397\pi\) |
−0.200541 | + | 0.979685i | \(0.564270\pi\) | |||||||
\(360\) | 0.000254441 | − | 11.7452i | 1.34102e−5 | − | 0.619028i | ||||
\(361\) | 4.44838 | − | 7.70483i | 0.234126 | − | 0.405517i | ||||
\(362\) | −13.3484 | − | 9.49148i | −0.701579 | − | 0.498861i | ||||
\(363\) | −5.77367 | − | 13.5219i | −0.303039 | − | 0.709718i | ||||
\(364\) | −32.2591 | − | 10.9178i | −1.69084 | − | 0.572248i | ||||
\(365\) | −8.95612 | −0.468785 | ||||||||
\(366\) | 1.80254 | − | 8.27196i | 0.0942205 | − | 0.432382i | ||||
\(367\) | −3.10999 | − | 1.79556i | −0.162340 | − | 0.0937272i | 0.416629 | − | 0.909077i | \(-0.363211\pi\) |
−0.578969 | + | 0.815349i | \(0.696545\pi\) | |||||||
\(368\) | 13.7324 | + | 5.45359i | 0.715850 | + | 0.284288i | ||||
\(369\) | 0.354858 | − | 1.44947i | 0.0184731 | − | 0.0754566i | ||||
\(370\) | −10.2803 | + | 4.70347i | −0.534449 | + | 0.244522i | ||||
\(371\) | −20.2391 | + | 8.23139i | −1.05076 | + | 0.427353i | ||||
\(372\) | −2.64723 | + | 8.29084i | −0.137253 | + | 0.429860i | ||||
\(373\) | 13.4339 | − | 7.75604i | 0.695579 | − | 0.401593i | −0.110120 | − | 0.993918i | \(-0.535123\pi\) |
0.805699 | + | 0.592326i | \(0.201790\pi\) | |||||||
\(374\) | −18.1478 | − | 1.72024i | −0.938401 | − | 0.0889516i | ||||
\(375\) | 19.2418 | + | 2.32110i | 0.993644 | + | 0.119861i | ||||
\(376\) | −2.13866 | − | 8.73652i | −0.110293 | − | 0.450551i | ||||
\(377\) | − | 42.9856i | − | 2.21387i | ||||||
\(378\) | 19.3968 | + | 1.32836i | 0.997663 | + | 0.0683234i | ||||
\(379\) | −14.5848 | −0.749171 | −0.374586 | − | 0.927192i | \(-0.622215\pi\) | ||||
−0.374586 | + | 0.927192i | \(0.622215\pi\) | |||||||
\(380\) | −8.64272 | − | 1.65335i | −0.443362 | − | 0.0848152i | ||||
\(381\) | 0.479910 | − | 3.97843i | 0.0245865 | − | 0.203821i | ||||
\(382\) | 2.13171 | + | 0.202066i | 0.109068 | + | 0.0103386i | ||||
\(383\) | 5.47353 | + | 9.48043i | 0.279684 | + | 0.484427i | 0.971306 | − | 0.237832i | \(-0.0764369\pi\) |
−0.691622 | + | 0.722260i | \(0.743104\pi\) | |||||||
\(384\) | 18.9088 | − | 5.14355i | 0.964937 | − | 0.262481i | ||||
\(385\) | 9.92420 | − | 12.7629i | 0.505784 | − | 0.650456i | ||||
\(386\) | −9.38818 | − | 20.5197i | −0.477846 | − | 1.04442i | ||||
\(387\) | 2.52318 | + | 0.617720i | 0.128260 | + | 0.0314005i | ||||
\(388\) | −0.782939 | − | 2.25207i | −0.0397477 | − | 0.114332i | ||||
\(389\) | 9.51835 | − | 16.4863i | 0.482600 | − | 0.835887i | −0.517201 | − | 0.855864i | \(-0.673026\pi\) |
0.999800 | + | 0.0199769i | \(0.00635927\pi\) | |||||||
\(390\) | −4.64618 | + | 21.3215i | −0.235269 | + | 1.07966i | ||||
\(391\) | − | 10.7856i | − | 0.545453i | ||||||
\(392\) | −0.684373 | + | 19.7872i | −0.0345661 | + | 0.999402i | ||||
\(393\) | −7.56676 | + | 3.23089i | −0.381692 | + | 0.162977i | ||||
\(394\) | 0.789218 | − | 1.10993i | 0.0397602 | − | 0.0559172i | ||||
\(395\) | −2.28492 | − | 1.31920i | −0.114967 | − | 0.0663760i | ||||
\(396\) | 11.0206 | − | 24.0862i | 0.553804 | − | 1.21038i | ||||
\(397\) | −6.49649 | + | 3.75075i | −0.326050 | + | 0.188245i | −0.654086 | − | 0.756420i | \(-0.726947\pi\) |
0.328036 | + | 0.944665i | \(0.393613\pi\) | |||||||
\(398\) | −2.56293 | + | 1.17259i | −0.128468 | + | 0.0587768i | ||||
\(399\) | 3.70762 | − | 14.0862i | 0.185613 | − | 0.705193i | ||||
\(400\) | 1.78938 | + | 12.2056i | 0.0894690 | + | 0.610281i | ||||
\(401\) | −24.3528 | + | 14.0601i | −1.21612 | + | 0.702128i | −0.964086 | − | 0.265591i | \(-0.914433\pi\) |
−0.252035 | + | 0.967718i | \(0.581100\pi\) | |||||||
\(402\) | 5.01843 | + | 15.7183i | 0.250297 | + | 0.783960i | ||||
\(403\) | 8.08501 | − | 14.0036i | 0.402743 | − | 0.697571i | ||||
\(404\) | 4.06886 | + | 0.778373i | 0.202433 | + | 0.0387255i | ||||
\(405\) | −0.540584 | − | 12.4460i | −0.0268618 | − | 0.618445i | ||||
\(406\) | −23.9338 | + | 7.18823i | −1.18781 | + | 0.356746i | ||||
\(407\) | −25.4954 | −1.26376 | ||||||||
\(408\) | −8.58396 | − | 11.4423i | −0.424969 | − | 0.566480i | ||||
\(409\) | 6.57782 | − | 11.3931i | 0.325252 | − | 0.563353i | −0.656311 | − | 0.754490i | \(-0.727884\pi\) |
0.981563 | + | 0.191137i | \(0.0612175\pi\) | |||||||
\(410\) | 0.0918887 | − | 0.969386i | 0.00453806 | − | 0.0478746i | ||||
\(411\) | −0.465165 | − | 0.348980i | −0.0229449 | − | 0.0172139i | ||||
\(412\) | 8.38836 | + | 7.24827i | 0.413265 | + | 0.357096i | ||||
\(413\) | −7.62258 | − | 18.7422i | −0.375083 | − | 0.922242i | ||||
\(414\) | 14.8028 | + | 5.14659i | 0.727518 | + | 0.252941i | ||||
\(415\) | 8.39196 | − | 4.84510i | 0.411945 | − | 0.237837i | ||||
\(416\) | −36.3606 | + | 1.85810i | −1.78272 | + | 0.0911008i | ||||
\(417\) | 16.0852 | + | 1.94032i | 0.787694 | + | 0.0950179i | ||||
\(418\) | −16.1727 | − | 11.4997i | −0.791033 | − | 0.562468i | ||||
\(419\) | 4.42222i | 0.216040i | 0.994149 | + | 0.108020i | \(0.0344510\pi\) | ||||
−0.994149 | + | 0.108020i | \(0.965549\pi\) | |||||||
\(420\) | 12.6485 | − | 0.978547i | 0.617183 | − | 0.0477482i | ||||
\(421\) | − | 22.2013i | − | 1.08203i | −0.841014 | − | 0.541014i | \(-0.818041\pi\) | ||
0.841014 | − | 0.541014i | \(-0.181959\pi\) | |||||||
\(422\) | −17.5843 | + | 24.7299i | −0.855992 | + | 1.20383i | ||||
\(423\) | −2.66856 | − | 9.15925i | −0.129750 | − | 0.445338i | ||||
\(424\) | −16.8712 | + | 16.1536i | −0.819336 | + | 0.784487i | ||||
\(425\) | 7.79844 | − | 4.50243i | 0.378280 | − | 0.218400i | ||||
\(426\) | −3.13902 | + | 3.45056i | −0.152086 | + | 0.167180i | ||||
\(427\) | 9.05832 | + | 1.25180i | 0.438363 | + | 0.0605788i | ||||
\(428\) | −9.04328 | − | 7.81418i | −0.437124 | − | 0.377713i | ||||
\(429\) | −29.5332 | + | 39.3656i | −1.42588 | + | 1.90059i | ||||
\(430\) | 1.68746 | + | 0.159956i | 0.0813767 | + | 0.00771375i | ||||
\(431\) | 8.76759 | − | 15.1859i | 0.422320 | − | 0.731479i | −0.573846 | − | 0.818963i | \(-0.694549\pi\) |
0.996166 | + | 0.0874837i | \(0.0278826\pi\) | |||||||
\(432\) | 19.8001 | − | 6.32114i | 0.952632 | − | 0.304126i | ||||
\(433\) | 0.852347 | 0.0409612 | 0.0204806 | − | 0.999790i | \(-0.493480\pi\) | ||||
0.0204806 | + | 0.999790i | \(0.493480\pi\) | |||||||
\(434\) | −9.14905 | − | 2.15987i | −0.439168 | − | 0.103677i | ||||
\(435\) | 6.28786 | + | 14.7262i | 0.301480 | + | 0.706066i | ||||
\(436\) | 0.623089 | − | 3.25713i | 0.0298405 | − | 0.155988i | ||||
\(437\) | 5.87066 | − | 10.1683i | 0.280832 | − | 0.486415i | ||||
\(438\) | −4.82041 | − | 15.0981i | −0.230328 | − | 0.721415i | ||||
\(439\) | 14.5943 | − | 8.42604i | 0.696549 | − | 0.402153i | −0.109512 | − | 0.993986i | \(-0.534929\pi\) |
0.806061 | + | 0.591833i | \(0.201595\pi\) | |||||||
\(440\) | 4.83492 | − | 16.5935i | 0.230496 | − | 0.791064i | ||||
\(441\) | 0.185972 | + | 20.9992i | 0.00885582 | + | 0.999961i | ||||
\(442\) | 11.0569 | + | 24.1671i | 0.525925 | + | 1.14951i | ||||
\(443\) | 24.9578 | − | 14.4094i | 1.18578 | − | 0.684611i | 0.228436 | − | 0.973559i | \(-0.426639\pi\) |
0.957345 | + | 0.288948i | \(0.0933055\pi\) | |||||||
\(444\) | −13.4622 | − | 14.7989i | −0.638886 | − | 0.702326i | ||||
\(445\) | 11.3888 | + | 6.57531i | 0.539879 | + | 0.311699i | ||||
\(446\) | −14.0540 | − | 9.99317i | −0.665477 | − | 0.473190i | ||||
\(447\) | 1.40881 | + | 3.29945i | 0.0666347 | + | 0.156058i | ||||
\(448\) | 7.11493 | + | 19.9343i | 0.336149 | + | 0.941809i | ||||
\(449\) | 1.27217i | 0.0600373i | 0.999549 | + | 0.0300186i | \(0.00955666\pi\) | ||||
−0.999549 | + | 0.0300186i | \(0.990443\pi\) | |||||||
\(450\) | 2.45819 | + | 12.8514i | 0.115880 | + | 0.605822i | ||||
\(451\) | 1.09797 | − | 1.90174i | 0.0517015 | − | 0.0895496i | ||||
\(452\) | −31.0841 | + | 10.8065i | −1.46207 | + | 0.508294i | ||||
\(453\) | 32.4223 | + | 24.3241i | 1.52333 | + | 1.14285i | ||||
\(454\) | 20.1886 | − | 9.23669i | 0.947497 | − | 0.433499i | ||||
\(455\) | −23.3485 | − | 3.22660i | −1.09459 | − | 0.151265i | ||||
\(456\) | −1.86453 | − | 15.4597i | −0.0873145 | − | 0.723965i | ||||
\(457\) | 7.46471 | + | 12.9293i | 0.349185 | + | 0.604805i | 0.986105 | − | 0.166124i | \(-0.0531253\pi\) |
−0.636920 | + | 0.770930i | \(0.719792\pi\) | |||||||
\(458\) | 1.61644 | − | 17.0527i | 0.0755312 | − | 0.796822i | ||||
\(459\) | −9.62299 | − | 11.7297i | −0.449163 | − | 0.547495i | ||||
\(460\) | 10.0440 | + | 1.92142i | 0.468305 | + | 0.0895867i | ||||
\(461\) | 27.1371 | 1.26390 | 0.631950 | − | 0.775009i | \(-0.282255\pi\) | ||||
0.631950 | + | 0.775009i | \(0.282255\pi\) | |||||||
\(462\) | 26.8569 | + | 9.86079i | 1.24950 | + | 0.458765i | ||||
\(463\) | − | 24.3062i | − | 1.12960i | −0.825227 | − | 0.564801i | \(-0.808953\pi\) | ||
0.825227 | − | 0.564801i | \(-0.191047\pi\) | |||||||
\(464\) | −20.9539 | + | 16.5724i | −0.972762 | + | 0.769353i | ||||
\(465\) | −0.721366 | + | 5.98009i | −0.0334525 | + | 0.277320i | ||||
\(466\) | 0.779565 | − | 8.22408i | 0.0361127 | − | 0.380973i | ||||
\(467\) | 22.2686 | − | 12.8568i | 1.03047 | − | 0.594940i | 0.113349 | − | 0.993555i | \(-0.463842\pi\) |
0.917118 | + | 0.398615i | \(0.130509\pi\) | |||||||
\(468\) | −38.4443 | + | 3.64331i | −1.77709 | + | 0.168412i | ||||
\(469\) | −16.5089 | + | 6.71430i | −0.762311 | + | 0.310038i | ||||
\(470\) | −2.58988 | − | 5.66069i | −0.119462 | − | 0.261108i | ||||
\(471\) | −30.9188 | − | 23.1961i | −1.42466 | − | 1.06882i | ||||
\(472\) | −14.9588 | − | 15.6233i | −0.688535 | − | 0.719122i | ||||
\(473\) | 3.31047 | + | 1.91130i | 0.152216 | + | 0.0878817i | ||||
\(474\) | 0.994086 | − | 4.56191i | 0.0456599 | − | 0.209535i | ||||
\(475\) | 9.80275 | 0.449781 | ||||||||
\(476\) | 11.6069 | − | 10.1977i | 0.532002 | − | 0.467410i | ||||
\(477\) | −17.1338 | + | 17.8942i | −0.784504 | + | 0.819319i | ||||
\(478\) | −18.5353 | + | 26.0674i | −0.847787 | + | 1.19229i | ||||
\(479\) | −4.48448 | + | 7.76735i | −0.204901 | + | 0.354899i | −0.950101 | − | 0.311942i | \(-0.899021\pi\) |
0.745200 | + | 0.666841i | \(0.232354\pi\) | |||||||
\(480\) | 12.1847 | − | 5.95531i | 0.556155 | − | 0.271822i | ||||
\(481\) | 18.5849 | + | 32.1900i | 0.847399 | + | 1.46774i | ||||
\(482\) | 14.9988 | + | 32.7828i | 0.683176 | + | 1.49321i | ||||
\(483\) | −4.30875 | + | 16.3701i | −0.196055 | + | 0.744865i | ||||
\(484\) | 11.1002 | − | 12.8462i | 0.504554 | − | 0.583916i | ||||
\(485\) | −0.825074 | − | 1.42907i | −0.0374647 | − | 0.0648908i | ||||
\(486\) | 20.6903 | − | 7.61003i | 0.938530 | − | 0.345198i | ||||
\(487\) | −5.02256 | − | 2.89978i | −0.227594 | − | 0.131401i | 0.381868 | − | 0.924217i | \(-0.375281\pi\) |
−0.609462 | + | 0.792816i | \(0.708614\pi\) | |||||||
\(488\) | 9.49542 | − | 2.32443i | 0.429837 | − | 0.105222i | ||||
\(489\) | 11.5630 | + | 27.0805i | 0.522896 | + | 1.22462i | ||||
\(490\) | 2.10790 | + | 13.5397i | 0.0952252 | + | 0.611660i | ||||
\(491\) | − | 13.5893i | − | 0.613275i | −0.951826 | − | 0.306637i | \(-0.900796\pi\) | ||
0.951826 | − | 0.306637i | \(-0.0992039\pi\) | |||||||
\(492\) | 1.68363 | − | 0.366843i | 0.0759041 | − | 0.0165386i | ||||
\(493\) | 16.8885 | + | 9.75058i | 0.760620 | + | 0.439144i | ||||
\(494\) | −2.73017 | + | 28.8021i | −0.122836 | + | 1.29587i | ||||
\(495\) | 4.35926 | − | 17.8061i | 0.195934 | − | 0.800325i | ||||
\(496\) | −9.94331 | + | 1.45772i | −0.446468 | + | 0.0654535i | ||||
\(497\) | −3.97752 | − | 3.09286i | −0.178416 | − | 0.138734i | ||||
\(498\) | 12.6846 | + | 11.5393i | 0.568409 | + | 0.517088i | ||||
\(499\) | 18.6144 | + | 32.2411i | 0.833294 | + | 1.44331i | 0.895412 | + | 0.445239i | \(0.146881\pi\) |
−0.0621178 | + | 0.998069i | \(0.519785\pi\) | |||||||
\(500\) | 7.34890 | + | 21.1386i | 0.328653 | + | 0.945348i | ||||
\(501\) | 41.1225 | + | 4.96053i | 1.83722 | + | 0.221620i | ||||
\(502\) | −1.27942 | − | 0.909740i | −0.0571034 | − | 0.0406037i | ||||
\(503\) | 24.5224 | 1.09340 | 0.546699 | − | 0.837329i | \(-0.315884\pi\) | ||||
0.546699 | + | 0.837329i | \(0.315884\pi\) | |||||||
\(504\) | 8.45736 | + | 20.7960i | 0.376721 | + | 0.926327i | ||||
\(505\) | 2.86710 | 0.127584 | ||||||||
\(506\) | 18.7949 | + | 13.3642i | 0.835534 | + | 0.594111i | ||||
\(507\) | 48.8761 | + | 5.89582i | 2.17066 | + | 0.261843i | ||||
\(508\) | 4.37061 | − | 1.51945i | 0.193914 | − | 0.0674149i | ||||
\(509\) | −21.4381 | − | 37.1319i | −0.950226 | − | 1.64584i | −0.744932 | − | 0.667140i | \(-0.767518\pi\) |
−0.205294 | − | 0.978700i | \(-0.565815\pi\) | |||||||
\(510\) | −7.32305 | − | 6.66187i | −0.324270 | − | 0.294993i | ||||
\(511\) | 15.8575 | − | 6.44936i | 0.701494 | − | 0.285303i | ||||
\(512\) | 14.9240 | + | 17.0081i | 0.659552 | + | 0.751659i | ||||
\(513\) | −2.68766 | − | 16.2961i | −0.118663 | − | 0.719492i | ||||
\(514\) | −1.86317 | + | 19.6557i | −0.0821811 | + | 0.866975i | ||||
\(515\) | 6.64470 | + | 3.83632i | 0.292800 | + | 0.169048i | ||||
\(516\) | 0.638584 | + | 2.93079i | 0.0281121 | + | 0.129021i | ||||
\(517\) | − | 14.0386i | − | 0.617416i | ||||||
\(518\) | 14.8151 | − | 15.7308i | 0.650939 | − | 0.691170i | ||||
\(519\) | −5.96415 | − | 13.9681i | −0.261797 | − | 0.613129i | ||||
\(520\) | −24.4751 | + | 5.99139i | −1.07330 | + | 0.262740i | ||||
\(521\) | −1.58214 | − | 0.913450i | −0.0693149 | − | 0.0400190i | 0.464942 | − | 0.885341i | \(-0.346075\pi\) |
−0.534257 | + | 0.845322i | \(0.679409\pi\) | |||||||
\(522\) | −21.4409 | + | 18.5260i | −0.938443 | + | 0.810860i | ||||
\(523\) | 12.7145 | + | 22.0222i | 0.555966 | + | 0.962962i | 0.997828 | + | 0.0658788i | \(0.0209851\pi\) |
−0.441861 | + | 0.897083i | \(0.645682\pi\) | |||||||
\(524\) | −7.18859 | − | 6.21156i | −0.314035 | − | 0.271353i | ||||
\(525\) | −13.6349 | + | 3.71824i | −0.595075 | + | 0.162277i | ||||
\(526\) | −8.33708 | − | 18.2223i | −0.363514 | − | 0.794530i | ||||
\(527\) | 3.66790 | + | 6.35300i | 0.159776 | + | 0.276741i | ||||
\(528\) | 30.5754 | − | 0.780391i | 1.33062 | − | 0.0339622i | ||||
\(529\) | 4.67750 | − | 8.10166i | 0.203369 | − | 0.352246i | ||||
\(530\) | −9.36786 | + | 13.1746i | −0.406914 | + | 0.572268i | ||||
\(531\) | −16.5707 | − | 15.8666i | −0.719107 | − | 0.688551i | ||||
\(532\) | 16.4932 | − | 3.29629i | 0.715070 | − | 0.142912i | ||||
\(533\) | −3.20148 | −0.138671 | ||||||||
\(534\) | −4.95485 | + | 22.7380i | −0.214417 | + | 0.983970i | ||||
\(535\) | −7.16348 | − | 4.13584i | −0.309704 | − | 0.178808i | ||||
\(536\) | −13.7617 | + | 13.1764i | −0.594415 | + | 0.569133i | ||||
\(537\) | −8.42572 | − | 6.32121i | −0.363597 | − | 0.272780i | ||||
\(538\) | −10.7205 | − | 23.4317i | −0.462192 | − | 1.01021i | ||||
\(539\) | −8.38092 | + | 29.7441i | −0.360992 | + | 1.28117i | ||||
\(540\) | 12.6375 | − | 6.87170i | 0.543829 | − | 0.295711i | ||||
\(541\) | 16.3531 | − | 9.44148i | 0.703076 | − | 0.405921i | −0.105416 | − | 0.994428i | \(-0.533618\pi\) |
0.808492 | + | 0.588507i | \(0.200284\pi\) | |||||||
\(542\) | 3.37911 | − | 35.6481i | 0.145145 | − | 1.53122i | ||||
\(543\) | 2.40238 | − | 19.9156i | 0.103096 | − | 0.854662i | ||||
\(544\) | 7.51777 | − | 14.7071i | 0.322322 | − | 0.630561i | ||||
\(545\) | − | 2.29512i | − | 0.0983119i | ||||||
\(546\) | −7.12736 | − | 41.0971i | −0.305023 | − | 1.75880i | ||||
\(547\) | 13.0624 | 0.558509 | 0.279254 | − | 0.960217i | \(-0.409913\pi\) | ||||
0.279254 | + | 0.960217i | \(0.409913\pi\) | |||||||
\(548\) | 0.126167 | − | 0.659522i | 0.00538957 | − | 0.0281734i | ||||
\(549\) | 9.95488 | − | 2.90036i | 0.424864 | − | 0.123784i | ||||
\(550\) | −1.81697 | + | 19.1683i | −0.0774759 | + | 0.817337i | ||||
\(551\) | 10.6145 | + | 18.3849i | 0.452195 | + | 0.783224i | ||||
\(552\) | 2.16683 | + | 17.9662i | 0.0922265 | + | 0.764693i | ||||
\(553\) | 4.99558 | + | 0.690356i | 0.212434 | + | 0.0293569i | ||||
\(554\) | 24.1782 | − | 11.0620i | 1.02723 | − | 0.469981i | ||||
\(555\) | −11.0756 | − | 8.30921i | −0.470133 | − | 0.352706i | ||||
\(556\) | 6.14330 | + | 17.6708i | 0.260534 | + | 0.749408i | ||||
\(557\) | −15.9928 | + | 27.7003i | −0.677635 | + | 1.17370i | 0.298056 | + | 0.954549i | \(0.403662\pi\) |
−0.975691 | + | 0.219151i | \(0.929671\pi\) | |||||||
\(558\) | −10.4694 | + | 2.00256i | −0.443205 | + | 0.0847753i | ||||
\(559\) | − | 5.57299i | − | 0.235712i | ||||||
\(560\) | 7.42875 | + | 12.6255i | 0.313922 | + | 0.533524i | ||||
\(561\) | −8.76714 | − | 20.5327i | −0.370149 | − | 0.866890i | ||||
\(562\) | −29.3797 | − | 20.8906i | −1.23931 | − | 0.881216i | ||||
\(563\) | −31.2546 | − | 18.0449i | −1.31723 | − | 0.760501i | −0.333944 | − | 0.942593i | \(-0.608380\pi\) |
−0.983281 | + | 0.182092i | \(0.941713\pi\) | |||||||
\(564\) | 8.14877 | − | 7.41271i | 0.343125 | − | 0.312132i | ||||
\(565\) | −19.7247 | + | 11.3881i | −0.829825 | + | 0.479100i | ||||
\(566\) | −7.08224 | − | 15.4796i | −0.297689 | − | 0.650656i | ||||
\(567\) | 9.91956 | + | 21.6472i | 0.416582 | + | 0.909098i | ||||
\(568\) | −5.17133 | − | 1.50679i | −0.216984 | − | 0.0632236i | ||||
\(569\) | 23.5336 | − | 13.5871i | 0.986579 | − | 0.569601i | 0.0823288 | − | 0.996605i | \(-0.473764\pi\) |
0.904250 | + | 0.427004i | \(0.140431\pi\) | |||||||
\(570\) | −3.27781 | − | 10.2665i | −0.137292 | − | 0.430017i | ||||
\(571\) | −7.45448 | + | 12.9115i | −0.311960 | + | 0.540331i | −0.978787 | − | 0.204882i | \(-0.934319\pi\) |
0.666826 | + | 0.745213i | \(0.267652\pi\) | |||||||
\(572\) | −55.8135 | − | 10.6771i | −2.33368 | − | 0.446433i | ||||
\(573\) | 1.02982 | + | 2.41185i | 0.0430215 | + | 0.100756i | ||||
\(574\) | 0.535365 | + | 1.78254i | 0.0223457 | + | 0.0744018i | ||||
\(575\) | −11.3921 | −0.475084 | ||||||||
\(576\) | 16.5975 | + | 17.3356i | 0.691563 | + | 0.722316i | ||||
\(577\) | −19.1659 | + | 33.1963i | −0.797886 | + | 1.38198i | 0.123104 | + | 0.992394i | \(0.460715\pi\) |
−0.920990 | + | 0.389585i | \(0.872618\pi\) | |||||||
\(578\) | 11.9313 | + | 1.13098i | 0.496277 | + | 0.0470424i | ||||
\(579\) | 16.5853 | − | 22.1070i | 0.689262 | − | 0.918737i | ||||
\(580\) | −12.0887 | + | 13.9902i | −0.501958 | + | 0.580912i | ||||
\(581\) | −11.3696 | + | 14.6217i | −0.471691 | + | 0.606611i | ||||
\(582\) | 1.96503 | − | 2.16006i | 0.0814532 | − | 0.0895374i | ||||
\(583\) | −31.5722 | + | 18.2282i | −1.30759 | + | 0.754935i | ||||
\(584\) | 13.2187 | − | 12.6564i | 0.546993 | − | 0.523727i | ||||
\(585\) | −25.6594 | + | 7.47588i | −1.06089 | + | 0.309090i | ||||
\(586\) | −3.19996 | + | 4.50029i | −0.132189 | + | 0.185905i | ||||
\(587\) | 0.964880i | 0.0398249i | 0.999802 | + | 0.0199124i | \(0.00633874\pi\) | ||||
−0.999802 | + | 0.0199124i | \(0.993661\pi\) | |||||||
\(588\) | −21.6905 | + | 10.8409i | −0.894499 | + | 0.447069i | ||||
\(589\) | 7.98581i | 0.329050i | ||||||||
\(590\) | −12.2002 | − | 8.67499i | −0.502273 | − | 0.357144i | ||||
\(591\) | 1.65599 | + | 0.199758i | 0.0681182 | + | 0.00821696i | ||||
\(592\) | 8.52637 | − | 21.4698i | 0.350432 | − | 0.882403i | ||||
\(593\) | 14.9519 | − | 8.63251i | 0.614003 | − | 0.354495i | −0.160528 | − | 0.987031i | \(-0.551320\pi\) |
0.774530 | + | 0.632537i | \(0.217986\pi\) | |||||||
\(594\) | 32.3636 | − | 2.23491i | 1.32789 | − | 0.0916994i | ||||
\(595\) | 6.56390 | − | 8.44141i | 0.269094 | − | 0.346064i | ||||
\(596\) | −2.70852 | + | 3.13455i | −0.110945 | + | 0.128396i | ||||
\(597\) | −2.76119 | − | 2.07152i | −0.113008 | − | 0.0847818i | ||||
\(598\) | 3.17283 | − | 33.4720i | 0.129747 | − | 1.36877i | ||||
\(599\) | 6.22127 | − | 10.7756i | 0.254194 | − | 0.440277i | −0.710482 | − | 0.703715i | \(-0.751523\pi\) |
0.964676 | + | 0.263438i | \(0.0848565\pi\) | |||||||
\(600\) | −12.0857 | + | 9.06664i | −0.493398 | + | 0.370144i | ||||
\(601\) | −27.7052 | −1.13012 | −0.565059 | − | 0.825051i | \(-0.691147\pi\) | ||||
−0.565059 | + | 0.825051i | \(0.691147\pi\) | |||||||
\(602\) | −3.10297 | + | 0.931939i | −0.126467 | + | 0.0379830i | ||||
\(603\) | −13.9760 | + | 14.5962i | −0.569146 | + | 0.594403i | ||||
\(604\) | −8.79389 | + | 45.9691i | −0.357818 | + | 1.87045i | ||||
\(605\) | 5.87504 | − | 10.1759i | 0.238854 | − | 0.413708i | ||||
\(606\) | 1.54314 | + | 4.83331i | 0.0626859 | + | 0.196340i | ||||
\(607\) | −5.43950 | + | 3.14050i | −0.220783 | + | 0.127469i | −0.606313 | − | 0.795226i | \(-0.707352\pi\) |
0.385530 | + | 0.922695i | \(0.374019\pi\) | |||||||
\(608\) | 15.0926 | − | 9.77331i | 0.612085 | − | 0.396360i | ||||
\(609\) | −21.7375 | − | 21.5459i | −0.880850 | − | 0.873083i | ||||
\(610\) | 6.15241 | − | 2.81486i | 0.249104 | − | 0.113970i | ||||
\(611\) | −17.7249 | + | 10.2335i | −0.717072 | + | 0.414002i | ||||
\(612\) | 7.28904 | − | 15.9307i | 0.294642 | − | 0.643960i | ||||
\(613\) | 17.0190 | + | 9.82590i | 0.687389 | + | 0.396864i | 0.802633 | − | 0.596473i | \(-0.203432\pi\) |
−0.115244 | + | 0.993337i | \(0.536765\pi\) | |||||||
\(614\) | 9.04262 | − | 12.7172i | 0.364930 | − | 0.513224i | ||||
\(615\) | 1.09678 | − | 0.468307i | 0.0442263 | − | 0.0188840i | ||||
\(616\) | 3.38849 | + | 32.8617i | 0.136526 | + | 1.32403i | ||||
\(617\) | 32.2579i | 1.29865i | 0.760509 | + | 0.649327i | \(0.224949\pi\) | ||||
−0.760509 | + | 0.649327i | \(0.775051\pi\) | |||||||
\(618\) | −2.89087 | + | 13.2663i | −0.116288 | + | 0.533650i | ||||
\(619\) | 13.3846 | − | 23.1828i | 0.537973 | − | 0.931797i | −0.461040 | − | 0.887379i | \(-0.652524\pi\) |
0.999013 | − | 0.0444173i | \(-0.0141431\pi\) | |||||||
\(620\) | −6.56958 | + | 2.28393i | −0.263841 | + | 0.0917250i | ||||
\(621\) | 3.12343 | + | 18.9383i | 0.125339 | + | 0.759968i | ||||
\(622\) | −18.4224 | − | 40.2657i | −0.738671 | − | 1.61451i | ||||
\(623\) | −24.8996 | − | 3.44096i | −0.997581 | − | 0.137859i | ||||
\(624\) | −23.2733 | − | 38.0351i | −0.931678 | − | 1.52262i | ||||
\(625\) | 0.0343418 | + | 0.0594818i | 0.00137367 | + | 0.00237927i | ||||
\(626\) | −18.3890 | − | 1.74310i | −0.734972 | − | 0.0696684i | ||||
\(627\) | 2.91068 | − | 24.1294i | 0.116241 | − | 0.963635i | ||||
\(628\) | 8.38609 | − | 43.8374i | 0.334642 | − | 1.74930i | ||||
\(629\) | −16.8627 | −0.672361 | ||||||||
\(630\) | 8.45334 | + | 13.0366i | 0.336789 | + | 0.519392i | ||||
\(631\) | − | 29.4363i | − | 1.17184i | −0.810369 | − | 0.585920i | \(-0.800733\pi\) | ||
0.810369 | − | 0.585920i | \(-0.199267\pi\) | |||||||
\(632\) | 5.23663 | − | 1.28190i | 0.208302 | − | 0.0509914i | ||||
\(633\) | −36.8966 | − | 4.45076i | −1.46651 | − | 0.176902i | ||||
\(634\) | 34.4416 | + | 3.26474i | 1.36785 | + | 0.129659i | ||||
\(635\) | 2.77341 | − | 1.60123i | 0.110059 | − | 0.0635428i | ||||
\(636\) | −27.2516 | − | 8.70132i | −1.08059 | − | 0.345030i | ||||
\(637\) | 43.6637 | − | 11.1004i | 1.73002 | − | 0.439815i | ||||
\(638\) | −37.9173 | + | 17.3479i | −1.50116 | + | 0.686811i | ||||
\(639\) | −5.54924 | − | 1.35855i | −0.219524 | − | 0.0537436i | ||||
\(640\) | 12.3565 | + | 9.62085i | 0.488435 | + | 0.380298i | ||||
\(641\) | −34.2214 | − | 19.7578i | −1.35167 | − | 0.780384i | −0.363183 | − | 0.931718i | \(-0.618310\pi\) |
−0.988483 | + | 0.151334i | \(0.951643\pi\) | |||||||
\(642\) | 3.11658 | − | 14.3021i | 0.123001 | − | 0.564459i | ||||
\(643\) | 17.3857 | 0.685626 | 0.342813 | − | 0.939404i | \(-0.388620\pi\) | ||||
0.342813 | + | 0.939404i | \(0.388620\pi\) | |||||||
\(644\) | −19.1673 | + | 3.83074i | −0.755298 | + | 0.150952i | ||||
\(645\) | 0.815208 | + | 1.90922i | 0.0320988 | + | 0.0751754i | ||||
\(646\) | −10.6967 | − | 7.60594i | −0.420856 | − | 0.299252i | ||||
\(647\) | 23.6414 | − | 40.9480i | 0.929438 | − | 1.60983i | 0.145174 | − | 0.989406i | \(-0.453626\pi\) |
0.784264 | − | 0.620427i | \(-0.213041\pi\) | |||||||
\(648\) | 18.3860 | + | 17.6055i | 0.722271 | + | 0.691610i | ||||
\(649\) | −16.8800 | − | 29.2370i | −0.662598 | − | 1.14765i | ||||
\(650\) | 25.5260 | − | 11.6787i | 1.00121 | − | 0.458075i | ||||
\(651\) | −3.02907 | − | 11.1077i | −0.118718 | − | 0.435343i | ||||
\(652\) | −22.2305 | + | 25.7271i | −0.870612 | + | 1.00755i | ||||
\(653\) | 14.1939 | + | 24.5845i | 0.555449 | + | 0.962067i | 0.997868 | + | 0.0652581i | \(0.0207871\pi\) |
−0.442419 | + | 0.896808i | \(0.645880\pi\) | |||||||
\(654\) | 3.86907 | − | 1.23529i | 0.151293 | − | 0.0483036i | ||||
\(655\) | −5.69432 | − | 3.28762i | −0.222495 | − | 0.128458i | ||||
\(656\) | 1.23428 | + | 1.56061i | 0.0481904 | + | 0.0609314i | ||||
\(657\) | 13.4245 | − | 14.0202i | 0.523739 | − | 0.546981i | ||||
\(658\) | 8.66188 | + | 8.15769i | 0.337675 | + | 0.318020i | ||||
\(659\) | − | 3.58703i | − | 0.139731i | −0.997556 | − | 0.0698654i | \(-0.977743\pi\) | ||
0.997556 | − | 0.0698654i | \(-0.0222570\pi\) | |||||||
\(660\) | 20.6827 | − | 4.50649i | 0.805071 | − | 0.175415i | ||||
\(661\) | 1.09189 | + | 0.630403i | 0.0424696 | + | 0.0245198i | 0.521084 | − | 0.853505i | \(-0.325528\pi\) |
−0.478615 | + | 0.878025i | \(0.658861\pi\) | |||||||
\(662\) | 20.4503 | + | 1.93849i | 0.794822 | + | 0.0753417i | ||||
\(663\) | −19.5334 | + | 26.0366i | −0.758613 | + | 1.01118i | ||||
\(664\) | −5.53910 | + | 19.0103i | −0.214959 | + | 0.737741i | ||||
\(665\) | 10.7829 | − | 4.38548i | 0.418142 | − | 0.170062i | ||||
\(666\) | 8.04640 | − | 23.1433i | 0.311792 | − | 0.896785i | ||||
\(667\) | −12.3355 | − | 21.3658i | −0.477634 | − | 0.827286i | ||||
\(668\) | 15.7057 | + | 45.1762i | 0.607670 | + | 1.74792i | ||||
\(669\) | 2.52936 | − | 20.9683i | 0.0977909 | − | 0.810682i | ||||
\(670\) | −7.64131 | + | 10.7464i | −0.295210 | + | 0.415171i | ||||
\(671\) | 15.2581 | 0.589031 | ||||||||
\(672\) | −17.2855 | + | 19.3186i | −0.666804 | + | 0.745233i | ||||
\(673\) | 34.9662 | 1.34785 | 0.673925 | − | 0.738800i | \(-0.264607\pi\) | ||||
0.673925 | + | 0.738800i | \(0.264607\pi\) | |||||||
\(674\) | 15.4033 | − | 21.6626i | 0.593314 | − | 0.834413i | ||||
\(675\) | −12.3893 | + | 10.1641i | −0.476863 | + | 0.391216i | ||||
\(676\) | 18.6669 | + | 53.6941i | 0.717958 | + | 2.06516i | ||||
\(677\) | 2.84885 | + | 4.93435i | 0.109490 | + | 0.189642i | 0.915564 | − | 0.402173i | \(-0.131745\pi\) |
−0.806074 | + | 0.591815i | \(0.798412\pi\) | |||||||
\(678\) | −29.8142 | − | 27.1223i | −1.14501 | − | 1.04163i | ||||
\(679\) | 2.48994 | + | 1.93614i | 0.0955551 | + | 0.0743021i | ||||
\(680\) | 3.19783 | − | 10.9750i | 0.122631 | − | 0.420872i | ||||
\(681\) | 21.7503 | + | 16.3177i | 0.833474 | + | 0.625295i | ||||
\(682\) | −15.6154 | − | 1.48020i | −0.597945 | − | 0.0566796i | ||||
\(683\) | 19.9548 | + | 11.5209i | 0.763551 | + | 0.440836i | 0.830569 | − | 0.556915i | \(-0.188015\pi\) |
−0.0670183 | + | 0.997752i | \(0.521349\pi\) | |||||||
\(684\) | 15.5429 | − | 11.0514i | 0.594299 | − | 0.422560i | ||||
\(685\) | − | 0.464729i | − | 0.0177564i | ||||||
\(686\) | −13.4822 | − | 22.4551i | −0.514752 | − | 0.857339i | ||||
\(687\) | 19.2937 | − | 8.23812i | 0.736100 | − | 0.314304i | ||||
\(688\) | −2.71663 | + | 2.14857i | −0.103571 | + | 0.0819136i | ||||
\(689\) | 46.0293 | + | 26.5750i | 1.75358 | + | 1.01243i | ||||
\(690\) | 3.80926 | + | 11.9311i | 0.145016 | + | 0.454208i | ||||
\(691\) | −18.0614 | − | 31.2833i | −0.687090 | − | 1.19007i | −0.972775 | − | 0.231751i | \(-0.925555\pi\) |
0.285686 | − | 0.958323i | \(-0.407779\pi\) | |||||||
\(692\) | 11.4664 | − | 13.2700i | 0.435887 | − | 0.504448i | ||||
\(693\) | 5.10389 | + | 34.6662i | 0.193881 | + | 1.31686i | ||||
\(694\) | 30.7996 | − | 14.0915i | 1.16914 | − | 0.534904i | ||||
\(695\) | 6.47392 | + | 11.2132i | 0.245570 | + | 0.425339i | ||||
\(696\) | −30.0910 | − | 12.8492i | −1.14059 | − | 0.487046i | ||||
\(697\) | 0.726203 | − | 1.25782i | 0.0275069 | − | 0.0476434i | ||||
\(698\) | −4.14254 | − | 2.94557i | −0.156797 | − | 0.111492i | ||||
\(699\) | 9.30483 | − | 3.97302i | 0.351941 | − | 0.150274i | ||||
\(700\) | −10.7711 | − | 12.2596i | −0.407109 | − | 0.463368i | ||||
\(701\) | −29.8672 | −1.12807 | −0.564035 | − | 0.825751i | \(-0.690752\pi\) | ||||
−0.564035 | + | 0.825751i | \(0.690752\pi\) | |||||||
\(702\) | −26.4133 | − | 39.2325i | −0.996904 | − | 1.48074i | ||||
\(703\) | −15.8975 | − | 9.17844i | −0.599586 | − | 0.346171i | ||||
\(704\) | 16.3132 | + | 31.3235i | 0.614829 | + | 1.18055i | ||||
\(705\) | 4.57533 | − | 6.09858i | 0.172317 | − | 0.229686i | ||||
\(706\) | −33.3525 | + | 15.2595i | −1.25524 | + | 0.574298i | ||||
\(707\) | −5.07641 | + | 2.06461i | −0.190918 | + | 0.0776478i | ||||
\(708\) | 8.05775 | − | 25.2360i | 0.302829 | − | 0.948426i | ||||
\(709\) | −42.5302 | + | 24.5548i | −1.59725 | + | 0.922175i | −0.605240 | + | 0.796043i | \(0.706923\pi\) |
−0.992013 | + | 0.126132i | \(0.959744\pi\) | |||||||
\(710\) | −3.71124 | − | 0.351791i | −0.139281 | − | 0.0132025i | ||||
\(711\) | 5.49002 | − | 1.59952i | 0.205892 | − | 0.0599868i | ||||
\(712\) | −26.1011 | + | 6.38942i | −0.978179 | + | 0.239454i | ||||
\(713\) | − | 9.28059i | − | 0.347561i | ||||||
\(714\) | 17.7633 | + | 6.52196i | 0.664774 | + | 0.244078i | ||||
\(715\) | −39.3287 | −1.47081 | ||||||||
\(716\) | 2.28531 | − | 11.9462i | 0.0854059 | − | 0.446450i | ||||
\(717\) | −38.8921 | − | 4.69147i | −1.45245 | − | 0.175206i | ||||
\(718\) | −39.9158 | − | 3.78365i | −1.48965 | − | 0.141204i | ||||
\(719\) | 8.31324 | + | 14.3990i | 0.310032 | + | 0.536991i | 0.978369 | − | 0.206868i | \(-0.0663270\pi\) |
−0.668337 | + | 0.743858i | \(0.732994\pi\) | |||||||
\(720\) | 13.5368 | + | 9.62583i | 0.504486 | + | 0.358733i | ||||
\(721\) | −14.5275 | − | 2.00760i | −0.541032 | − | 0.0747670i | ||||
\(722\) | 5.23464 | + | 11.4413i | 0.194813 | + | 0.425801i | ||||
\(723\) | −26.4971 | + | 35.3187i | −0.985437 | + | 1.31352i | ||||
\(724\) | 21.8788 | − | 7.60624i | 0.813121 | − | 0.282684i | ||||
\(725\) | 10.2989 | − | 17.8381i | 0.382490 | − | 0.662492i | ||||
\(726\) | 20.3164 | + | 4.42716i | 0.754013 | + | 0.164307i | ||||
\(727\) | − | 6.37182i | − | 0.236318i | −0.992995 | − | 0.118159i | \(-0.962301\pi\) | ||
0.992995 | − | 0.118159i | \(-0.0376992\pi\) | |||||||
\(728\) | 39.0206 | − | 28.2329i | 1.44620 | − | 1.04638i | ||||
\(729\) | 20.2936 | + | 17.8092i | 0.751616 | + | 0.659601i | ||||
\(730\) | 7.33979 | − | 10.3224i | 0.271658 | − | 0.382049i | ||||
\(731\) | 2.18956 | + | 1.26414i | 0.0809837 | + | 0.0467560i | ||||
\(732\) | 8.05662 | + | 8.85662i | 0.297781 | + | 0.327350i | ||||
\(733\) | 33.2648 | − | 19.2054i | 1.22866 | − | 0.709369i | 0.261912 | − | 0.965092i | \(-0.415647\pi\) |
0.966750 | + | 0.255723i | \(0.0823135\pi\) | |||||||
\(734\) | 4.61819 | − | 2.11292i | 0.170461 | − | 0.0779893i | ||||
\(735\) | −13.3347 | + | 10.1899i | −0.491859 | + | 0.375859i | ||||
\(736\) | −17.5396 | + | 11.3579i | −0.646519 | + | 0.418658i | ||||
\(737\) | −25.7533 | + | 14.8687i | −0.948634 | + | 0.547694i | ||||
\(738\) | 1.37978 | + | 1.59688i | 0.0507903 | + | 0.0587818i | ||||
\(739\) | 0.546366 | − | 0.946333i | 0.0200984 | − | 0.0348114i | −0.855801 | − | 0.517305i | \(-0.826935\pi\) |
0.875900 | + | 0.482493i | \(0.160269\pi\) | |||||||
\(740\) | 3.00403 | − | 15.7032i | 0.110430 | − | 0.577262i | ||||
\(741\) | −32.5871 | + | 13.9142i | −1.19712 | + | 0.511151i | ||||
\(742\) | 7.09940 | − | 30.0725i | 0.260627 | − | 1.10399i | ||||
\(743\) | 26.5914 | 0.975545 | 0.487772 | − | 0.872971i | \(-0.337810\pi\) | ||||
0.487772 | + | 0.872971i | \(0.337810\pi\) | |||||||
\(744\) | −7.38614 | − | 9.84564i | −0.270789 | − | 0.360959i | ||||
\(745\) | −1.43355 | + | 2.48298i | −0.0525212 | + | 0.0909693i | ||||
\(746\) | −2.07018 | + | 21.8395i | −0.0757947 | + | 0.799601i | ||||
\(747\) | −4.99416 | + | 20.3995i | −0.182727 | + | 0.746378i | ||||
\(748\) | 16.8553 | − | 19.5065i | 0.616291 | − | 0.713228i | ||||
\(749\) | 15.6617 | + | 2.16435i | 0.572267 | + | 0.0790835i | ||||
\(750\) | −18.4444 | + | 20.2750i | −0.673494 | + | 0.740338i | ||||
\(751\) | −24.4781 | + | 14.1324i | −0.893217 | + | 0.515699i | −0.874993 | − | 0.484135i | \(-0.839134\pi\) |
−0.0182235 | + | 0.999834i | \(0.505801\pi\) | |||||||
\(752\) | 11.8220 | + | 4.69490i | 0.431103 | + | 0.171205i | ||||
\(753\) | 0.230263 | − | 1.90887i | 0.00839127 | − | 0.0695632i | ||||
\(754\) | 49.5431 | + | 35.2279i | 1.80425 | + | 1.28292i | ||||
\(755\) | 32.3918i | 1.17886i | ||||||||
\(756\) | −17.4272 | + | 21.2672i | −0.633821 | + | 0.773480i | ||||
\(757\) | 26.8780i | 0.976898i | 0.872592 | + | 0.488449i | \(0.162437\pi\) | ||||
−0.872592 | + | 0.488449i | \(0.837563\pi\) | |||||||
\(758\) | 11.9526 | − | 16.8097i | 0.434140 | − | 0.610557i | ||||
\(759\) | −3.38260 | + | 28.0416i | −0.122781 | + | 1.01785i | ||||
\(760\) | 8.98852 | − | 8.60621i | 0.326048 | − | 0.312180i | ||||
\(761\) | −46.8523 | + | 27.0502i | −1.69840 | + | 0.980569i | −0.751111 | + | 0.660176i | \(0.770482\pi\) |
−0.947285 | + | 0.320393i | \(0.896185\pi\) | |||||||
\(762\) | 4.19204 | + | 3.81355i | 0.151862 | + | 0.138150i | ||||
\(763\) | 1.65273 | + | 4.06367i | 0.0598327 | + | 0.147115i | ||||
\(764\) | −1.97989 | + | 2.29131i | −0.0716299 | + | 0.0828967i | ||||
\(765\) | 2.88323 | − | 11.7770i | 0.104243 | − | 0.425799i | ||||
\(766\) | −15.4124 | − | 1.46095i | −0.556872 | − | 0.0527863i | ||||
\(767\) | −24.6095 | + | 42.6248i | −0.888596 | + | 1.53909i | ||||
\(768\) | −9.56810 | + | 26.0087i | −0.345259 | + | 0.938507i | ||||
\(769\) | −9.44304 | −0.340525 | −0.170262 | − | 0.985399i | \(-0.554462\pi\) | ||||
−0.170262 | + | 0.985399i | \(0.554462\pi\) | |||||||
\(770\) | 6.57670 | + | 21.8977i | 0.237008 | + | 0.789137i | ||||
\(771\) | −22.2387 | + | 9.49560i | −0.800907 | + | 0.341976i | ||||
\(772\) | 31.3439 | + | 5.99608i | 1.12809 | + | 0.215804i | ||||
\(773\) | −18.7073 | + | 32.4020i | −0.672856 | + | 1.16542i | 0.304235 | + | 0.952597i | \(0.401599\pi\) |
−0.977091 | + | 0.212823i | \(0.931734\pi\) | |||||||
\(774\) | −2.77977 | + | 2.40185i | −0.0999167 | + | 0.0863329i | ||||
\(775\) | 6.71022 | − | 3.87415i | 0.241038 | − | 0.139164i | ||||
\(776\) | 3.23727 | + | 0.943256i | 0.116211 | + | 0.0338609i | ||||
\(777\) | 25.5937 | + | 6.73649i | 0.918168 | + | 0.241670i | ||||
\(778\) | 11.2007 | + | 24.4813i | 0.401565 | + | 0.877699i | ||||
\(779\) | 1.36927 | − | 0.790550i | 0.0490593 | − | 0.0283244i | ||||
\(780\) | −20.7665 | − | 22.8286i | −0.743560 | − | 0.817393i | ||||
\(781\) | −7.28073 | − | 4.20353i | −0.260525 | − | 0.150414i | ||||
\(782\) | 12.4310 | + | 8.83913i | 0.444532 | + | 0.316087i | ||||
\(783\) | −32.4779 | − | 12.2301i | −1.16066 | − | 0.437068i | ||||
\(784\) | −22.2449 | − | 17.0049i | −0.794459 | − | 0.607318i | ||||
\(785\) | − | 30.8897i | − | 1.10250i | ||||||
\(786\) | 2.47740 | − | 11.3689i | 0.0883658 | − | 0.405515i | ||||
\(787\) | 6.80641 | − | 11.7890i | 0.242622 | − | 0.420234i | −0.718838 | − | 0.695178i | \(-0.755326\pi\) |
0.961460 | + | 0.274943i | \(0.0886591\pi\) | |||||||
\(788\) | 0.632460 | + | 1.81923i | 0.0225305 | + | 0.0648073i | ||||
\(789\) | 14.7284 | − | 19.6319i | 0.524345 | − | 0.698915i | ||||
\(790\) | 3.39300 | − | 1.55237i | 0.120717 | − | 0.0552307i | ||||
\(791\) | 26.7235 | − | 34.3673i | 0.950177 | − | 1.22196i | ||||
\(792\) | 18.7289 | + | 32.4410i | 0.665503 | + | 1.15274i | ||||
\(793\) | −11.1224 | − | 19.2646i | −0.394968 | − | 0.684105i | ||||
\(794\) | 1.00112 | − | 10.5614i | 0.0355284 | − | 0.374810i | ||||
\(795\) | −19.6562 | − | 2.37109i | −0.697135 | − | 0.0840939i | ||||
\(796\) | 0.748918 | − | 3.91488i | 0.0265447 | − | 0.138759i | ||||
\(797\) | 45.9884 | 1.62899 | 0.814496 | − | 0.580169i | \(-0.197013\pi\) | ||||
0.814496 | + | 0.580169i | \(0.197013\pi\) | |||||||
\(798\) | 13.1966 | + | 15.8173i | 0.467154 | + | 0.559925i | ||||
\(799\) | − | 9.28517i | − | 0.328486i | ||||||
\(800\) | −15.5341 | − | 7.94049i | −0.549212 | − | 0.280739i | ||||
\(801\) | −27.3640 | + | 7.97254i | −0.966861 | + | 0.281696i | ||||
\(802\) | 3.75281 | − | 39.5905i | 0.132516 | − | 1.39799i | ||||
\(803\) | 24.7370 | − | 14.2819i | 0.872951 | − | 0.503999i | ||||
\(804\) | −22.2289 | − | 7.09762i | −0.783954 | − | 0.250314i | ||||
\(805\) | −12.5312 | + | 5.09652i | −0.441666 | + | 0.179629i | ||||
\(806\) | 9.51404 | + | 20.7948i | 0.335118 | + | 0.732464i | ||||
\(807\) | 18.9389 | − | 25.2443i | 0.666682 | − | 0.888640i | ||||
\(808\) | −4.23166 | + | 4.05167i | −0.148869 | + | 0.142537i | ||||
\(809\) | −16.1190 | − | 9.30630i | −0.566713 | − | 0.327192i | 0.189122 | − | 0.981954i | \(-0.439436\pi\) |
−0.755836 | + | 0.654762i | \(0.772769\pi\) | |||||||
\(810\) | 14.7876 | + | 9.57675i | 0.519584 | + | 0.336493i | ||||
\(811\) | 33.9178 | 1.19101 | 0.595507 | − | 0.803350i | \(-0.296951\pi\) | ||||
0.595507 | + | 0.803350i | \(0.296951\pi\) | |||||||
\(812\) | 11.3296 | − | 33.4759i | 0.397591 | − | 1.17477i | ||||
\(813\) | 40.3328 | − | 17.2215i | 1.41453 | − | 0.603984i | ||||
\(814\) | 20.8941 | − | 29.3847i | 0.732339 | − | 1.02993i | ||||
\(815\) | −11.7660 | + | 20.3793i | −0.412145 | + | 0.713856i | ||||
\(816\) | 20.2227 | − | 0.516154i | 0.707935 | − | 0.0180690i | ||||
\(817\) | 1.37615 | + | 2.38357i | 0.0481455 | + | 0.0833904i | ||||
\(818\) | 7.74045 | + | 16.9182i | 0.270638 | + | 0.591533i | ||||
\(819\) | 40.0484 | − | 31.7141i | 1.39941 | − | 1.10818i | ||||
\(820\) | 1.04196 | + | 0.900345i | 0.0363869 | + | 0.0314414i | ||||
\(821\) | −14.0972 | − | 24.4171i | −0.491996 | − | 0.852162i | 0.507962 | − | 0.861380i | \(-0.330399\pi\) |
−0.999958 | + | 0.00921774i | \(0.997066\pi\) | |||||||
\(822\) | 0.783433 | − | 0.250128i | 0.0273254 | − | 0.00872423i | ||||
\(823\) | 16.0158 | + | 9.24672i | 0.558275 | + | 0.322320i | 0.752453 | − | 0.658646i | \(-0.228871\pi\) |
−0.194178 | + | 0.980966i | \(0.562204\pi\) | |||||||
\(824\) | −15.2285 | + | 3.72786i | −0.530510 | + | 0.129866i | ||||
\(825\) | −21.6872 | + | 9.26012i | −0.755052 | + | 0.322396i | ||||
\(826\) | 27.8482 | + | 6.57431i | 0.968964 | + | 0.228749i | ||||
\(827\) | − | 14.5655i | − | 0.506491i | −0.967402 | − | 0.253245i | \(-0.918502\pi\) | ||
0.967402 | − | 0.253245i | \(-0.0814980\pi\) | |||||||
\(828\) | −18.0630 | + | 12.8432i | −0.627733 | + | 0.446332i | ||||
\(829\) | −17.0346 | − | 9.83492i | −0.591635 | − | 0.341581i | 0.174108 | − | 0.984726i | \(-0.444296\pi\) |
−0.765744 | + | 0.643146i | \(0.777629\pi\) | |||||||
\(830\) | −1.29321 | + | 13.6429i | −0.0448881 | + | 0.473550i | ||||
\(831\) | 26.0486 | + | 19.5424i | 0.903616 | + | 0.677918i | ||||
\(832\) | 27.6569 | − | 43.4302i | 0.958831 | − | 1.50567i | ||||
\(833\) | −5.54317 | + | 19.6729i | −0.192060 | + | 0.681624i | ||||
\(834\) | −15.4186 | + | 16.9488i | −0.533901 | + | 0.586891i | ||||
\(835\) | 16.5509 | + | 28.6670i | 0.572767 | + | 0.992062i | ||||
\(836\) | 26.5080 | − | 9.21557i | 0.916797 | − | 0.318727i | ||||
\(837\) | −8.28017 | − | 10.0929i | −0.286205 | − | 0.348862i | ||||
\(838\) | −5.09684 | − | 3.62413i | −0.176067 | − | 0.125194i | ||||
\(839\) | −26.2321 | −0.905631 | −0.452816 | − | 0.891604i | \(-0.649580\pi\) | ||||
−0.452816 | + | 0.891604i | \(0.649580\pi\) | |||||||
\(840\) | −9.23797 | + | 15.3800i | −0.318740 | + | 0.530660i | ||||
\(841\) | 15.6069 | 0.538171 | ||||||||
\(842\) | 25.5882 | + | 18.1946i | 0.881827 | + | 0.627028i | ||||
\(843\) | 5.28760 | − | 43.8340i | 0.182115 | − | 1.50972i | ||||
\(844\) | −14.0917 | − | 40.5337i | −0.485055 | − | 1.39523i | ||||
\(845\) | 19.6715 | + | 34.0721i | 0.676721 | + | 1.17212i | ||||
\(846\) | 12.7435 | + | 4.43061i | 0.438129 | + | 0.152328i | ||||
\(847\) | −3.07449 | + | 22.2478i | −0.105641 | + | 0.764443i | ||||
\(848\) | −4.79144 | − | 32.6832i | −0.164539 | − | 1.12234i | ||||
\(849\) | 12.5116 | − | 16.6771i | 0.429397 | − | 0.572355i | ||||
\(850\) | −1.20175 | + | 12.6780i | −0.0412197 | + | 0.434851i | ||||
\(851\) | 18.4751 | + | 10.6666i | 0.633317 | + | 0.365646i | ||||
\(852\) | −1.40444 | − | 6.44571i | −0.0481153 | − | 0.220826i | ||||
\(853\) | 21.5548i | 0.738022i | 0.929425 | + | 0.369011i | \(0.120304\pi\) | ||||
−0.929425 | + | 0.369011i | \(0.879696\pi\) | |||||||
\(854\) | −8.86631 | + | 9.41430i | −0.303399 | + | 0.322151i | ||||
\(855\) | 9.12847 | − | 9.53357i | 0.312187 | − | 0.326041i | ||||
\(856\) | 16.4175 | − | 4.01892i | 0.561137 | − | 0.137364i | ||||
\(857\) | −15.7399 | − | 9.08742i | −0.537664 | − | 0.310420i | 0.206468 | − | 0.978453i | \(-0.433803\pi\) |
−0.744132 | + | 0.668033i | \(0.767136\pi\) | |||||||
\(858\) | −21.1677 | − | 66.2997i | −0.722652 | − | 2.26344i | ||||
\(859\) | 3.84011 | + | 6.65127i | 0.131023 | + | 0.226938i | 0.924071 | − | 0.382220i | \(-0.124840\pi\) |
−0.793048 | + | 0.609159i | \(0.791507\pi\) | |||||||
\(860\) | −1.56728 | + | 1.81380i | −0.0534438 | + | 0.0618501i | ||||
\(861\) | −1.60469 | + | 1.61897i | −0.0546878 | + | 0.0551743i | ||||
\(862\) | 10.3173 | + | 22.5504i | 0.351407 | + | 0.768068i | ||||
\(863\) | −16.7613 | − | 29.0314i | −0.570562 | − | 0.988242i | −0.996508 | − | 0.0834933i | \(-0.973392\pi\) |
0.425947 | − | 0.904748i | \(-0.359941\pi\) | |||||||
\(864\) | −8.94127 | + | 28.0010i | −0.304188 | + | 0.952612i | ||||
\(865\) | 6.06886 | − | 10.5116i | 0.206347 | − | 0.357404i | ||||
\(866\) | −0.698521 | + | 0.982373i | −0.0237367 | + | 0.0333824i | ||||
\(867\) | 5.76398 | + | 13.4992i | 0.195755 | + | 0.458458i | ||||
\(868\) | 9.98726 | − | 8.77467i | 0.338990 | − | 0.297832i | ||||
\(869\) | 8.41467 | 0.285448 | ||||||||
\(870\) | −22.1258 | − | 4.82143i | −0.750133 | − | 0.163462i | ||||
\(871\) | 37.5458 | + | 21.6771i | 1.27219 | + | 0.734500i | ||||
\(872\) | 3.24337 | + | 3.38745i | 0.109834 | + | 0.114713i | ||||
\(873\) | 3.47384 | + | 0.850459i | 0.117572 | + | 0.0287837i | ||||
\(874\) | 6.90830 | + | 15.0994i | 0.233677 | + | 0.510746i | ||||
\(875\) | −23.3713 | − | 18.1732i | −0.790095 | − | 0.614365i | ||||
\(876\) | 21.3518 | + | 6.81755i | 0.721410 | + | 0.230344i | ||||
\(877\) | 22.4823 | − | 12.9802i | 0.759174 | − | 0.438309i | −0.0698251 | − | 0.997559i | \(-0.522244\pi\) |
0.828999 | + | 0.559250i | \(0.188911\pi\) | |||||||
\(878\) | −2.24901 | + | 23.7261i | −0.0759004 | + | 0.800717i | ||||
\(879\) | −6.71436 | − | 0.809939i | −0.226470 | − | 0.0273186i | ||||
\(880\) | 15.1625 | + | 19.1713i | 0.511128 | + | 0.646265i | ||||
\(881\) | 0.0231379i | 0.000779536i | 1.00000 | 0.000389768i | \(0.000124067\pi\) | |||||
−1.00000 | 0.000389768i | \(0.999876\pi\) | ||||||||
\(882\) | −24.3550 | − | 16.9951i | −0.820077 | − | 0.572253i | ||||
\(883\) | −50.1245 | −1.68682 | −0.843412 | − | 0.537268i | \(-0.819457\pi\) | ||||
−0.843412 | + | 0.537268i | \(0.819457\pi\) | |||||||
\(884\) | −36.9153 | − | 7.06190i | −1.24160 | − | 0.237517i | ||||
\(885\) | 2.19572 | − | 18.2024i | 0.0738083 | − | 0.611868i | ||||
\(886\) | −3.84604 | + | 40.5740i | −0.129210 | + | 1.36311i | ||||
\(887\) | −23.4706 | − | 40.6522i | −0.788064 | − | 1.36497i | −0.927151 | − | 0.374687i | \(-0.877750\pi\) |
0.139087 | − | 0.990280i | \(-0.455583\pi\) | |||||||
\(888\) | 28.0891 | − | 3.38772i | 0.942610 | − | 0.113684i | ||||
\(889\) | −3.75747 | + | 4.83224i | −0.126022 | + | 0.162068i | ||||
\(890\) | −16.9118 | + | 7.73749i | −0.566884 | + | 0.259361i | ||||
\(891\) | 21.3401 | + | 33.5140i | 0.714922 | + | 1.12276i | ||||
\(892\) | 23.0353 | − | 8.00829i | 0.771279 | − | 0.268137i | ||||
\(893\) | 5.05395 | − | 8.75370i | 0.169124 | − | 0.292931i | ||||
\(894\) | −4.95735 | − | 1.08026i | −0.165798 | − | 0.0361292i | ||||
\(895\) | − | 8.41781i | − | 0.281376i | ||||||
\(896\) | −28.8062 | − | 8.13642i | −0.962348 | − | 0.271819i | ||||
\(897\) | 37.8706 | − | 16.1702i | 1.26446 | − | 0.539907i | ||||
\(898\) | −1.46624 | − | 1.04258i | −0.0489290 | − | 0.0347912i | ||||
\(899\) | 14.5318 | + | 8.38996i | 0.484664 | + | 0.279821i | ||||
\(900\) | −16.8265 | − | 7.69890i | −0.560882 | − | 0.256630i | ||||
\(901\) | −20.8820 | + | 12.0562i | −0.695679 | + | 0.401651i | ||||
\(902\) | 1.29204 | + | 2.82400i | 0.0430202 | + | 0.0940289i | ||||
\(903\) | −2.81823 | − | 2.79338i | −0.0937847 | − | 0.0929578i | ||||
\(904\) | 13.0193 | − | 44.6823i | 0.433014 | − | 1.48611i | ||||
\(905\) | 13.8834 | − | 8.01559i | 0.461500 | − | 0.266447i | ||||
\(906\) | −54.6057 | + | 17.4341i | −1.81415 | + | 0.579209i | ||||
\(907\) | −7.24598 | + | 12.5504i | −0.240599 | + | 0.416729i | −0.960885 | − | 0.276948i | \(-0.910677\pi\) |
0.720286 | + | 0.693677i | \(0.244010\pi\) | |||||||
\(908\) | −5.89933 | + | 30.8381i | −0.195776 | + | 1.02340i | ||||
\(909\) | −4.29754 | + | 4.48826i | −0.142541 | + | 0.148866i | ||||
\(910\) | 22.8535 | − | 24.2660i | 0.757587 | − | 0.804410i | ||||
\(911\) | −28.7559 | −0.952726 | −0.476363 | − | 0.879249i | \(-0.658045\pi\) | ||||
−0.476363 | + | 0.879249i | \(0.658045\pi\) | |||||||
\(912\) | 19.3461 | + | 10.5207i | 0.640613 | + | 0.348374i | ||||
\(913\) | −15.4525 | + | 26.7646i | −0.511404 | + | 0.885779i | ||||
\(914\) | −21.0192 | − | 1.99242i | −0.695253 | − | 0.0659034i | ||||
\(915\) | 6.62834 | + | 4.97277i | 0.219126 | + | 0.164395i | ||||
\(916\) | 18.3294 | + | 15.8382i | 0.605622 | + | 0.523309i | ||||
\(917\) | 12.4497 | + | 1.72046i | 0.411124 | + | 0.0568146i | ||||
\(918\) | 21.4054 | − | 1.47818i | 0.706483 | − | 0.0487871i | ||||
\(919\) | 14.3049 | − | 8.25895i | 0.471876 | − | 0.272438i | −0.245149 | − | 0.969485i | \(-0.578837\pi\) |
0.717025 | + | 0.697048i | \(0.245503\pi\) | |||||||
\(920\) | −10.4459 | + | 10.0016i | −0.344391 | + | 0.329742i | ||||
\(921\) | 18.9738 | + | 2.28877i | 0.625208 | + | 0.0754176i | ||||
\(922\) | −22.2396 | + | 31.2769i | −0.732422 | + | 1.03005i | ||||
\(923\) | 12.2567i | 0.403434i | ||||||||
\(924\) | −33.3750 | + | 22.8728i | −1.09796 | + | 0.752459i | ||||
\(925\) | 17.8109i | 0.585619i | ||||||||
\(926\) | 28.0141 | + | 19.9196i | 0.920600 | + | 0.654597i | ||||
\(927\) | −15.9654 | + | 4.65152i | −0.524371 | + | 0.152776i | ||||
\(928\) | −1.92818 | − | 37.7320i | −0.0632957 | − | 1.23861i | ||||
\(929\) | 2.55192 | − | 1.47335i | 0.0837258 | − | 0.0483391i | −0.457553 | − | 0.889183i | \(-0.651274\pi\) |
0.541278 | + | 0.840843i | \(0.317941\pi\) | |||||||
\(930\) | −6.30118 | − | 5.73226i | −0.206624 | − | 0.187968i | ||||
\(931\) | −15.9339 | + | 15.5296i | −0.522212 | + | 0.508963i | ||||
\(932\) | 8.83980 | + | 7.63835i | 0.289557 | + | 0.250202i | ||||
\(933\) | 32.5453 | − | 43.3806i | 1.06548 | − | 1.42022i | ||||
\(934\) | −3.43163 | + | 36.2022i | −0.112286 | + | 1.18457i | ||||
\(935\) | 8.92106 | − | 15.4517i | 0.291750 | − | 0.505326i | ||||
\(936\) | 27.3070 | − | 47.2948i | 0.892558 | − | 1.54588i | ||||
\(937\) | 31.6130 | 1.03275 | 0.516375 | − | 0.856362i | \(-0.327281\pi\) | ||||
0.516375 | + | 0.856362i | \(0.327281\pi\) | |||||||
\(938\) | 5.79094 | − | 24.5299i | 0.189081 | − | 0.800931i | ||||
\(939\) | −8.88366 | − | 20.8055i | −0.289907 | − | 0.678963i | ||||
\(940\) | 8.64672 | + | 1.65412i | 0.282025 | + | 0.0539514i | ||||
\(941\) | −16.1958 | + | 28.0519i | −0.527966 | + | 0.914465i | 0.471502 | + | 0.881865i | \(0.343712\pi\) |
−0.999468 | + | 0.0325998i | \(0.989621\pi\) | |||||||
\(942\) | 52.0735 | − | 16.6256i | 1.69665 | − | 0.541692i | ||||
\(943\) | −1.59128 | + | 0.918726i | −0.0518192 | + | 0.0299178i | ||||
\(944\) | 30.2658 | − | 4.43706i | 0.985069 | − | 0.144414i | ||||
\(945\) | −9.08087 | + | 16.7230i | −0.295401 | + | 0.543998i | ||||
\(946\) | −4.91589 | + | 2.24912i | −0.159829 | + | 0.0731253i | ||||
\(947\) | 18.1295 | − | 10.4671i | 0.589129 | − | 0.340134i | −0.175624 | − | 0.984457i | \(-0.556194\pi\) |
0.764753 | + | 0.644324i | \(0.222861\pi\) | |||||||
\(948\) | 4.44315 | + | 4.88434i | 0.144307 | + | 0.158636i | ||||
\(949\) | −36.0643 | − | 20.8217i | −1.17070 | − | 0.675902i | ||||
\(950\) | −8.03362 | + | 11.2982i | −0.260645 | + | 0.366561i | ||||
\(951\) | 16.6386 | + | 38.9676i | 0.539543 | + | 1.26361i | ||||
\(952\) | 2.24116 | + | 21.7348i | 0.0726364 | + | 0.704430i | ||||
\(953\) | 34.4190i | 1.11494i | 0.830197 | + | 0.557470i | \(0.188228\pi\) | ||||
−0.830197 | + | 0.557470i | \(0.811772\pi\) | |||||||
\(954\) | −6.58232 | − | 34.4124i | −0.213111 | − | 1.11414i | ||||
\(955\) | −1.04790 | + | 1.81502i | −0.0339094 | + | 0.0587328i | ||||
\(956\) | −14.8538 | − | 42.7259i | −0.480405 | − | 1.38185i | ||||
\(957\) | −40.8504 | − | 30.6471i | −1.32051 | − | 0.990681i | ||||
\(958\) | −5.27711 | − | 11.5341i | −0.170496 | − | 0.372651i | ||||
\(959\) | 0.334654 | + | 0.822837i | 0.0108065 | + | 0.0265708i | ||||
\(960\) | −3.12193 | + | 18.9241i | −0.100760 | + | 0.610772i | ||||
\(961\) | −12.3439 | − | 21.3803i | −0.398191 | − | 0.689687i | ||||
\(962\) | −52.3315 | − | 4.96053i | −1.68723 | − | 0.159934i | ||||
\(963\) | 17.2119 | − | 5.01469i | 0.554645 | − | 0.161596i | ||||
\(964\) | −50.0757 | − | 9.57949i | −1.61283 | − | 0.308535i | ||||
\(965\) | 22.0863 | 0.710982 | ||||||||
\(966\) | −15.3362 | − | 18.3818i | −0.493435 | − | 0.591425i | ||||
\(967\) | 52.5582i | 1.69016i | 0.534643 | + | 0.845078i | \(0.320446\pi\) | ||||
−0.534643 | + | 0.845078i | \(0.679554\pi\) | |||||||
\(968\) | 5.70895 | + | 23.3213i | 0.183492 | + | 0.749575i | ||||
\(969\) | 1.92513 | − | 15.9593i | 0.0618442 | − | 0.512686i | ||||
\(970\) | 2.32325 | + | 0.220222i | 0.0745950 | + | 0.00707091i | ||||
\(971\) | 0.310281 | − | 0.179141i | 0.00995738 | − | 0.00574890i | −0.495013 | − | 0.868886i | \(-0.664837\pi\) |
0.504970 | + | 0.863137i | \(0.331503\pi\) | |||||||
\(972\) | −8.18529 | + | 30.0832i | −0.262543 | + | 0.964920i | ||||
\(973\) | −19.5372 | − | 15.1918i | −0.626335 | − | 0.487028i | ||||
\(974\) | 7.45827 | − | 3.41231i | 0.238978 | − | 0.109338i | ||||
\(975\) | 27.5006 | + | 20.6317i | 0.880725 | + | 0.660744i | ||||
\(976\) | −5.10273 | + | 12.8489i | −0.163334 | + | 0.411283i | ||||
\(977\) | 34.5190 | + | 19.9296i | 1.10436 | + | 0.637603i | 0.937363 | − | 0.348354i | \(-0.113259\pi\) |
0.166998 | + | 0.985957i | \(0.446593\pi\) | |||||||
\(978\) | −40.6879 | − | 8.86631i | −1.30106 | − | 0.283513i | ||||
\(979\) | −41.9414 | −1.34045 | ||||||||
\(980\) | −17.3326 | − | 8.66666i | −0.553671 | − | 0.276846i | ||||
\(981\) | 3.59286 | + | 3.44019i | 0.114711 | + | 0.109837i | ||||
\(982\) | 15.6623 | + | 11.1368i | 0.499805 | + | 0.355389i | ||||
\(983\) | 14.8055 | − | 25.6439i | 0.472223 | − | 0.817914i | −0.527272 | − | 0.849697i | \(-0.676785\pi\) |
0.999495 | + | 0.0317825i | \(0.0101184\pi\) | |||||||
\(984\) | −0.956979 | + | 2.24111i | −0.0305074 | + | 0.0714441i | ||||
\(985\) | 0.666498 | + | 1.15441i | 0.0212364 | + | 0.0367825i | ||||
\(986\) | −25.0786 | + | 11.4740i | −0.798666 | + | 0.365406i | ||||
\(987\) | −3.70933 | + | 14.0927i | −0.118069 | + | 0.448576i | ||||
\(988\) | −30.9585 | − | 26.7508i | −0.984920 | − | 0.851056i | ||||
\(989\) | −1.59928 | − | 2.77003i | −0.0508540 | − | 0.0880818i | ||||
\(990\) | 16.9499 | + | 19.6169i | 0.538704 | + | 0.623465i | ||||
\(991\) | −19.2020 | − | 11.0863i | −0.609970 | − | 0.352167i | 0.162983 | − | 0.986629i | \(-0.447888\pi\) |
−0.772954 | + | 0.634462i | \(0.781222\pi\) | |||||||
\(992\) | 6.46872 | − | 12.6548i | 0.205382 | − | 0.401791i | ||||
\(993\) | 9.87945 | + | 23.1377i | 0.313515 | + | 0.734253i | ||||
\(994\) | 6.82436 | − | 2.04962i | 0.216456 | − | 0.0650099i | ||||
\(995\) | − | 2.75860i | − | 0.0874535i | ||||||
\(996\) | −23.6950 | + | 5.16284i | −0.750804 | + | 0.163591i | ||||
\(997\) | −19.4291 | − | 11.2174i | −0.615324 | − | 0.355258i | 0.159722 | − | 0.987162i | \(-0.448940\pi\) |
−0.775046 | + | 0.631904i | \(0.782274\pi\) | |||||||
\(998\) | −52.4145 | − | 4.96840i | −1.65915 | − | 0.157272i | ||||
\(999\) | 29.6089 | − | 4.88330i | 0.936785 | − | 0.154501i |
(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 | 168.2.v.a.11.10 | yes | 56 | |
3.2 | odd | 2 | inner | 168.2.v.a.11.19 | yes | 56 | |
4.3 | odd | 2 | 672.2.bd.a.431.27 | 56 | |||
7.2 | even | 3 | inner | 168.2.v.a.107.28 | yes | 56 | |
8.3 | odd | 2 | inner | 168.2.v.a.11.1 | ✓ | 56 | |
8.5 | even | 2 | 672.2.bd.a.431.28 | 56 | |||
12.11 | even | 2 | 672.2.bd.a.431.8 | 56 | |||
21.2 | odd | 6 | inner | 168.2.v.a.107.1 | yes | 56 | |
24.5 | odd | 2 | 672.2.bd.a.431.7 | 56 | |||
24.11 | even | 2 | inner | 168.2.v.a.11.28 | yes | 56 | |
28.23 | odd | 6 | 672.2.bd.a.527.7 | 56 | |||
56.37 | even | 6 | 672.2.bd.a.527.8 | 56 | |||
56.51 | odd | 6 | inner | 168.2.v.a.107.19 | yes | 56 | |
84.23 | even | 6 | 672.2.bd.a.527.28 | 56 | |||
168.107 | even | 6 | inner | 168.2.v.a.107.10 | yes | 56 | |
168.149 | odd | 6 | 672.2.bd.a.527.27 | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
168.2.v.a.11.1 | ✓ | 56 | 8.3 | odd | 2 | inner | |
168.2.v.a.11.10 | yes | 56 | 1.1 | even | 1 | trivial | |
168.2.v.a.11.19 | yes | 56 | 3.2 | odd | 2 | inner | |
168.2.v.a.11.28 | yes | 56 | 24.11 | even | 2 | inner | |
168.2.v.a.107.1 | yes | 56 | 21.2 | odd | 6 | inner | |
168.2.v.a.107.10 | yes | 56 | 168.107 | even | 6 | inner | |
168.2.v.a.107.19 | yes | 56 | 56.51 | odd | 6 | inner | |
168.2.v.a.107.28 | yes | 56 | 7.2 | even | 3 | inner | |
672.2.bd.a.431.7 | 56 | 24.5 | odd | 2 | |||
672.2.bd.a.431.8 | 56 | 12.11 | even | 2 | |||
672.2.bd.a.431.27 | 56 | 4.3 | odd | 2 | |||
672.2.bd.a.431.28 | 56 | 8.5 | even | 2 | |||
672.2.bd.a.527.7 | 56 | 28.23 | odd | 6 | |||
672.2.bd.a.527.8 | 56 | 56.37 | even | 6 | |||
672.2.bd.a.527.27 | 56 | 168.149 | odd | 6 | |||
672.2.bd.a.527.28 | 56 | 84.23 | even | 6 |