Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [504,2,Mod(205,504)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(504, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 3, 4, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("504.205");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 504 = 2^{3} \cdot 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 504.w (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: | \(4.02446026187\) |
Analytic rank: | \(0\) |
Dimension: | \(184\) |
Relative dimension: | \(92\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 205.11 | ||
Character | \(\chi\) | \(=\) | 504.205 |
Dual form | 504.2.w.a.445.11 |
$q$-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 \(\left(\mathbb{Z}/504\mathbb{Z}\right)^\times\).
\(n\) | \(73\) | \(127\) | \(253\) | \(281\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(1\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.31691 | − | 0.515516i | −0.931194 | − | 0.364525i | ||||
\(3\) | −0.229486 | − | 1.71678i | −0.132494 | − | 0.991184i | ||||
\(4\) | 1.46849 | + | 1.35777i | 0.734244 | + | 0.678886i | ||||
\(5\) | 1.20405i | 0.538469i | 0.963075 | + | 0.269235i | \(0.0867707\pi\) | ||||
−0.963075 | + | 0.269235i | \(0.913229\pi\) | |||||||
\(6\) | −0.582816 | + | 2.37914i | −0.237934 | + | 0.971281i | ||||
\(7\) | −2.62096 | + | 0.361324i | −0.990631 | + | 0.136568i | ||||
\(8\) | −1.23391 | − | 2.54509i | −0.436252 | − | 0.899824i | ||||
\(9\) | −2.89467 | + | 0.787953i | −0.964891 | + | 0.262651i | ||||
\(10\) | 0.620709 | − | 1.58563i | 0.196285 | − | 0.501419i | ||||
\(11\) | 3.08518i | 0.930218i | 0.885253 | + | 0.465109i | \(0.153985\pi\) | ||||
−0.885253 | + | 0.465109i | \(0.846015\pi\) | |||||||
\(12\) | 1.99400 | − | 2.83266i | 0.575618 | − | 0.817718i | ||||
\(13\) | 4.30593 | − | 2.48603i | 1.19425 | − | 0.689501i | 0.234983 | − | 0.972000i | \(-0.424497\pi\) |
0.959268 | + | 0.282499i | \(0.0911633\pi\) | |||||||
\(14\) | 3.63783 | + | 0.875318i | 0.972251 | + | 0.233938i | ||||
\(15\) | 2.06710 | − | 0.276313i | 0.533722 | − | 0.0713438i | ||||
\(16\) | 0.312909 | + | 3.98774i | 0.0782271 | + | 0.996936i | ||||
\(17\) | 1.97677 | + | 3.42387i | 0.479438 | + | 0.830411i | 0.999722 | − | 0.0235823i | \(-0.00750719\pi\) |
−0.520284 | + | 0.853993i | \(0.674174\pi\) | |||||||
\(18\) | 4.21822 | + | 0.454588i | 0.994243 | + | 0.107147i | ||||
\(19\) | 4.41935 | + | 2.55151i | 1.01387 | + | 0.585357i | 0.912322 | − | 0.409474i | \(-0.134288\pi\) |
0.101546 | + | 0.994831i | \(0.467621\pi\) | |||||||
\(20\) | −1.63483 | + | 1.76814i | −0.365559 | + | 0.395368i | ||||
\(21\) | 1.22179 | + | 4.41670i | 0.266616 | + | 0.963803i | ||||
\(22\) | 1.59046 | − | 4.06290i | 0.339087 | − | 0.866213i | ||||
\(23\) | −8.60244 | −1.79373 | −0.896866 | − | 0.442302i | \(-0.854162\pi\) | ||||
−0.896866 | + | 0.442302i | \(0.854162\pi\) | |||||||
\(24\) | −4.08619 | + | 2.70241i | −0.834091 | + | 0.551627i | ||||
\(25\) | 3.55025 | 0.710051 | ||||||||
\(26\) | −6.95210 | + | 1.05410i | −1.36342 | + | 0.206725i | ||||
\(27\) | 2.01703 | + | 4.78869i | 0.388177 | + | 0.921585i | ||||
\(28\) | −4.33945 | − | 3.02807i | −0.820078 | − | 0.572252i | ||||
\(29\) | 1.49365 | + | 0.862361i | 0.277364 | + | 0.160136i | 0.632230 | − | 0.774781i | \(-0.282140\pi\) |
−0.354865 | + | 0.934917i | \(0.615473\pi\) | |||||||
\(30\) | −2.86462 | − | 0.701742i | −0.523005 | − | 0.128120i | ||||
\(31\) | −0.751514 | + | 1.30166i | −0.134976 | + | 0.233785i | −0.925588 | − | 0.378532i | \(-0.876429\pi\) |
0.790612 | + | 0.612317i | \(0.209762\pi\) | |||||||
\(32\) | 1.64367 | − | 5.41279i | 0.290563 | − | 0.956856i | ||||
\(33\) | 5.29658 | − | 0.708006i | 0.922017 | − | 0.123248i | ||||
\(34\) | −0.838167 | − | 5.52798i | −0.143744 | − | 0.948041i | ||||
\(35\) | −0.435053 | − | 3.15578i | −0.0735375 | − | 0.533424i | ||||
\(36\) | −5.32065 | − | 2.77321i | −0.886775 | − | 0.462201i | ||||
\(37\) | 3.01187 | + | 1.73890i | 0.495148 | + | 0.285874i | 0.726708 | − | 0.686947i | \(-0.241049\pi\) |
−0.231560 | + | 0.972821i | \(0.574383\pi\) | |||||||
\(38\) | −4.50452 | − | 5.63835i | −0.730730 | − | 0.914661i | ||||
\(39\) | −5.25612 | − | 6.82183i | −0.841653 | − | 1.09237i | ||||
\(40\) | 3.06442 | − | 1.48569i | 0.484528 | − | 0.234908i | ||||
\(41\) | 3.85365 | + | 6.67472i | 0.601839 | + | 1.04242i | 0.992542 | + | 0.121899i | \(0.0388985\pi\) |
−0.390703 | + | 0.920517i | \(0.627768\pi\) | |||||||
\(42\) | 0.667898 | − | 6.44623i | 0.103059 | − | 0.994675i | ||||
\(43\) | 8.44603 | + | 4.87632i | 1.28801 | + | 0.743631i | 0.978299 | − | 0.207200i | \(-0.0664352\pi\) |
0.309709 | + | 0.950832i | \(0.399769\pi\) | |||||||
\(44\) | −4.18898 | + | 4.53055i | −0.631512 | + | 0.683007i | ||||
\(45\) | −0.948739 | − | 3.48534i | −0.141430 | − | 0.519564i | ||||
\(46\) | 11.3286 | + | 4.43469i | 1.67031 | + | 0.653860i | ||||
\(47\) | 0.619899 | + | 1.07370i | 0.0904216 | + | 0.156615i | 0.907689 | − | 0.419644i | \(-0.137845\pi\) |
−0.817267 | + | 0.576259i | \(0.804512\pi\) | |||||||
\(48\) | 6.77427 | − | 1.45233i | 0.977782 | − | 0.209625i | ||||
\(49\) | 6.73889 | − | 1.89403i | 0.962699 | − | 0.270576i | ||||
\(50\) | −4.67535 | − | 1.83021i | −0.661195 | − | 0.258831i | ||||
\(51\) | 5.42440 | − | 4.17942i | 0.759568 | − | 0.585235i | ||||
\(52\) | 9.69867 | + | 2.19577i | 1.34496 | + | 0.304499i | ||||
\(53\) | 7.11339 | − | 4.10692i | 0.977100 | − | 0.564129i | 0.0757065 | − | 0.997130i | \(-0.475879\pi\) |
0.901393 | + | 0.433001i | \(0.142545\pi\) | |||||||
\(54\) | −0.187592 | − | 7.34607i | −0.0255281 | − | 0.999674i | ||||
\(55\) | −3.71473 | −0.500894 | ||||||||
\(56\) | 4.15363 | + | 6.22474i | 0.555052 | + | 0.831816i | ||||
\(57\) | 3.36621 | − | 8.17259i | 0.445865 | − | 1.08249i | ||||
\(58\) | −1.52244 | − | 1.90565i | −0.199906 | − | 0.250224i | ||||
\(59\) | −7.80537 | − | 4.50644i | −1.01617 | − | 0.586688i | −0.103180 | − | 0.994663i | \(-0.532902\pi\) |
−0.912993 | + | 0.407975i | \(0.866235\pi\) | |||||||
\(60\) | 3.41068 | + | 2.40088i | 0.440316 | + | 0.309953i | ||||
\(61\) | −9.17817 | + | 5.29902i | −1.17514 | + | 0.678470i | −0.954886 | − | 0.296972i | \(-0.904023\pi\) |
−0.220258 | + | 0.975442i | \(0.570690\pi\) | |||||||
\(62\) | 1.66070 | − | 1.32675i | 0.210909 | − | 0.168497i | ||||
\(63\) | 7.30212 | − | 3.11111i | 0.919981 | − | 0.391963i | ||||
\(64\) | −4.95494 | + | 6.28081i | −0.619368 | + | 0.785101i | ||||
\(65\) | 2.99331 | + | 5.18457i | 0.371275 | + | 0.643067i | ||||
\(66\) | −7.34010 | − | 1.79810i | −0.903503 | − | 0.221330i | ||||
\(67\) | −2.51124 | − | 1.44986i | −0.306796 | − | 0.177129i | 0.338696 | − | 0.940896i | \(-0.390014\pi\) |
−0.645492 | + | 0.763767i | \(0.723348\pi\) | |||||||
\(68\) | −1.74597 | + | 7.71192i | −0.211730 | + | 0.935208i | ||||
\(69\) | 1.97414 | + | 14.7685i | 0.237658 | + | 1.77792i | ||||
\(70\) | −1.05393 | + | 4.38015i | −0.125969 | + | 0.523528i | ||||
\(71\) | 9.13679 | 1.08434 | 0.542169 | − | 0.840270i | \(-0.317603\pi\) | ||||
0.542169 | + | 0.840270i | \(0.317603\pi\) | |||||||
\(72\) | 5.57717 | + | 6.39493i | 0.657276 | + | 0.753650i | ||||
\(73\) | −6.91851 | − | 11.9832i | −0.809751 | − | 1.40253i | −0.913037 | − | 0.407878i | \(-0.866269\pi\) |
0.103286 | − | 0.994652i | \(-0.467064\pi\) | |||||||
\(74\) | −3.06992 | − | 3.84264i | −0.356871 | − | 0.446698i | ||||
\(75\) | −0.814733 | − | 6.09501i | −0.0940772 | − | 0.703791i | ||||
\(76\) | 3.02538 | + | 9.74733i | 0.347035 | + | 1.11810i | ||||
\(77\) | −1.11475 | − | 8.08615i | −0.127038 | − | 0.921503i | ||||
\(78\) | 3.40506 | + | 11.6933i | 0.385547 | + | 1.32401i | ||||
\(79\) | 0.333546 | + | 0.577719i | 0.0375269 | + | 0.0649984i | 0.884179 | − | 0.467149i | \(-0.154719\pi\) |
−0.846652 | + | 0.532147i | \(0.821385\pi\) | |||||||
\(80\) | −4.80146 | + | 0.376759i | −0.536819 | + | 0.0421229i | ||||
\(81\) | 7.75826 | − | 4.56173i | 0.862029 | − | 0.506859i | ||||
\(82\) | −1.63398 | − | 10.7766i | −0.180442 | − | 1.19008i | ||||
\(83\) | −1.67229 | − | 0.965495i | −0.183557 | − | 0.105977i | 0.405406 | − | 0.914137i | \(-0.367130\pi\) |
−0.588963 | + | 0.808160i | \(0.700464\pi\) | |||||||
\(84\) | −4.20269 | + | 8.14478i | −0.458551 | + | 0.888668i | ||||
\(85\) | −4.12253 | + | 2.38014i | −0.447151 | + | 0.258163i | ||||
\(86\) | −8.60881 | − | 10.7757i | −0.928312 | − | 1.16198i | ||||
\(87\) | 1.13771 | − | 2.76218i | 0.121976 | − | 0.296136i | ||||
\(88\) | 7.85206 | − | 3.80683i | 0.837033 | − | 0.405810i | ||||
\(89\) | −7.05696 | + | 12.2230i | −0.748037 | + | 1.29564i | 0.200726 | + | 0.979647i | \(0.435670\pi\) |
−0.948763 | + | 0.315990i | \(0.897663\pi\) | |||||||
\(90\) | −0.547349 | + | 5.07896i | −0.0576956 | + | 0.535369i | ||||
\(91\) | −10.3874 | + | 8.07163i | −1.08890 | + | 0.846137i | ||||
\(92\) | −12.6326 | − | 11.6802i | −1.31704 | − | 1.21774i | ||||
\(93\) | 2.40713 | + | 0.991473i | 0.249608 | + | 0.102811i | ||||
\(94\) | −0.262842 | − | 1.73353i | −0.0271101 | − | 0.178800i | ||||
\(95\) | −3.07216 | + | 5.32113i | −0.315197 | + | 0.545937i | ||||
\(96\) | −9.66978 | − | 1.57967i | −0.986918 | − | 0.161224i | ||||
\(97\) | −3.31897 | + | 5.74862i | −0.336990 | + | 0.583684i | −0.983865 | − | 0.178912i | \(-0.942742\pi\) |
0.646875 | + | 0.762596i | \(0.276076\pi\) | |||||||
\(98\) | −9.85089 | − | 0.979739i | −0.995091 | − | 0.0989686i | ||||
\(99\) | −2.43098 | − | 8.93060i | −0.244323 | − | 0.897559i | ||||
\(100\) | 5.21350 | + | 4.82044i | 0.521350 | + | 0.482044i | ||||
\(101\) | 12.3161i | 1.22550i | 0.790276 | + | 0.612751i | \(0.209937\pi\) | ||||
−0.790276 | + | 0.612751i | \(0.790063\pi\) | |||||||
\(102\) | −9.29798 | + | 2.70754i | −0.920637 | + | 0.268086i | ||||
\(103\) | 7.14272 | 0.703793 | 0.351897 | − | 0.936039i | \(-0.385537\pi\) | ||||
0.351897 | + | 0.936039i | \(0.385537\pi\) | |||||||
\(104\) | −11.6403 | − | 7.89144i | −1.14142 | − | 0.773819i | ||||
\(105\) | −5.31795 | + | 1.47110i | −0.518978 | + | 0.143564i | ||||
\(106\) | −11.4849 | + | 1.74136i | −1.11551 | + | 0.169136i | ||||
\(107\) | 6.92675 | + | 3.99916i | 0.669634 | + | 0.386614i | 0.795938 | − | 0.605378i | \(-0.206978\pi\) |
−0.126304 | + | 0.991992i | \(0.540311\pi\) | |||||||
\(108\) | −3.53998 | + | 9.77080i | −0.340634 | + | 0.940196i | ||||
\(109\) | −7.01534 | + | 4.05031i | −0.671948 | + | 0.387949i | −0.796814 | − | 0.604224i | \(-0.793483\pi\) |
0.124867 | + | 0.992174i | \(0.460150\pi\) | |||||||
\(110\) | 4.89195 | + | 1.91500i | 0.466429 | + | 0.182588i | ||||
\(111\) | 2.29413 | − | 5.56977i | 0.217750 | − | 0.528659i | ||||
\(112\) | −2.26099 | − | 10.3387i | −0.213643 | − | 0.976912i | ||||
\(113\) | 1.09625 | + | 1.89876i | 0.103126 | + | 0.178620i | 0.912971 | − | 0.408024i | \(-0.133782\pi\) |
−0.809845 | + | 0.586644i | \(0.800449\pi\) | |||||||
\(114\) | −8.64608 | + | 9.02720i | −0.809780 | + | 0.845475i | ||||
\(115\) | − | 10.3578i | − | 0.965870i | ||||||
\(116\) | 1.02252 | + | 3.29441i | 0.0949386 | + | 0.305878i | ||||
\(117\) | −10.5054 | + | 10.5891i | −0.971223 | + | 0.978964i | ||||
\(118\) | 7.95581 | + | 9.95835i | 0.732392 | + | 0.916740i | ||||
\(119\) | −6.41818 | − | 8.25959i | −0.588353 | − | 0.757155i | ||||
\(120\) | −3.25385 | − | 4.92000i | −0.297034 | − | 0.449132i | ||||
\(121\) | 1.48164 | 0.134694 | ||||||||
\(122\) | 14.8185 | − | 2.24682i | 1.34161 | − | 0.203418i | ||||
\(123\) | 10.5747 | − | 8.14763i | 0.953486 | − | 0.734647i | ||||
\(124\) | −2.87095 | + | 0.891087i | −0.257819 | + | 0.0800220i | ||||
\(125\) | 10.2950i | 0.920810i | ||||||||
\(126\) | −11.2200 | + | 0.332684i | −0.999561 | + | 0.0296378i | ||||
\(127\) | −18.0795 | −1.60430 | −0.802150 | − | 0.597122i | \(-0.796311\pi\) | ||||
−0.802150 | + | 0.597122i | \(0.796311\pi\) | |||||||
\(128\) | 9.76305 | − | 5.71689i | 0.862940 | − | 0.505306i | ||||
\(129\) | 6.43332 | − | 15.6190i | 0.566423 | − | 1.37518i | ||||
\(130\) | −1.26919 | − | 8.37070i | −0.111315 | − | 0.734159i | ||||
\(131\) | 6.53097i | 0.570614i | 0.958436 | + | 0.285307i | \(0.0920955\pi\) | ||||
−0.958436 | + | 0.285307i | \(0.907905\pi\) | |||||||
\(132\) | 8.73928 | + | 6.15186i | 0.760656 | + | 0.535451i | ||||
\(133\) | −12.5049 | − | 5.09060i | −1.08431 | − | 0.441411i | ||||
\(134\) | 2.55964 | + | 3.20392i | 0.221119 | + | 0.276776i | ||||
\(135\) | −5.76585 | + | 2.42861i | −0.496245 | + | 0.209022i | ||||
\(136\) | 6.27490 | − | 9.25580i | 0.538068 | − | 0.793679i | ||||
\(137\) | −5.62128 | −0.480258 | −0.240129 | − | 0.970741i | \(-0.577190\pi\) | ||||
−0.240129 | + | 0.970741i | \(0.577190\pi\) | |||||||
\(138\) | 5.01364 | − | 20.4664i | 0.426790 | − | 1.74222i | ||||
\(139\) | 1.71098 | − | 0.987835i | 0.145123 | − | 0.0837870i | −0.425680 | − | 0.904874i | \(-0.639965\pi\) |
0.570804 | + | 0.821087i | \(0.306632\pi\) | |||||||
\(140\) | 3.64596 | − | 5.22493i | 0.308140 | − | 0.441587i | ||||
\(141\) | 1.70104 | − | 1.31063i | 0.143254 | − | 0.110375i | ||||
\(142\) | −12.0323 | − | 4.71016i | −1.00973 | − | 0.395268i | ||||
\(143\) | 7.66986 | + | 13.2846i | 0.641386 | + | 1.11091i | ||||
\(144\) | −4.04792 | − | 11.2967i | −0.337327 | − | 0.941388i | ||||
\(145\) | −1.03833 | + | 1.79844i | −0.0862286 | + | 0.149352i | ||||
\(146\) | 2.93350 | + | 19.3474i | 0.242778 | + | 1.60120i | ||||
\(147\) | −4.79812 | − | 11.1345i | −0.395742 | − | 0.918362i | ||||
\(148\) | 2.06186 | + | 6.64299i | 0.169483 | + | 0.546050i | ||||
\(149\) | − | 22.1587i | − | 1.81531i | −0.419719 | − | 0.907654i | \(-0.637871\pi\) | ||
0.419719 | − | 0.907654i | \(-0.362129\pi\) | |||||||
\(150\) | −2.06915 | + | 8.44656i | −0.168945 | + | 0.689659i | ||||
\(151\) | −16.0856 | −1.30903 | −0.654514 | − | 0.756050i | \(-0.727127\pi\) | ||||
−0.654514 | + | 0.756050i | \(0.727127\pi\) | |||||||
\(152\) | 1.04075 | − | 14.3960i | 0.0844163 | − | 1.16767i | ||||
\(153\) | −8.41996 | − | 8.35338i | −0.680714 | − | 0.675331i | ||||
\(154\) | −2.70052 | + | 11.2234i | −0.217614 | + | 0.904406i | ||||
\(155\) | −1.56727 | − | 0.904864i | −0.125886 | − | 0.0726804i | ||||
\(156\) | 1.54395 | − | 17.1544i | 0.123615 | − | 1.37345i | ||||
\(157\) | 10.3512 | + | 5.97626i | 0.826115 | + | 0.476958i | 0.852521 | − | 0.522693i | \(-0.175073\pi\) |
−0.0264055 | + | 0.999651i | \(0.508406\pi\) | |||||||
\(158\) | −0.141426 | − | 0.932750i | −0.0112512 | − | 0.0742056i | ||||
\(159\) | −8.68310 | − | 11.2697i | −0.688615 | − | 0.893742i | ||||
\(160\) | 6.51730 | + | 1.97907i | 0.515238 | + | 0.156459i | ||||
\(161\) | 22.5467 | − | 3.10827i | 1.77693 | − | 0.244966i | ||||
\(162\) | −12.5685 | + | 2.00787i | −0.987479 | + | 0.157753i | ||||
\(163\) | 9.74129 | + | 5.62413i | 0.762996 | + | 0.440516i | 0.830371 | − | 0.557212i | \(-0.188129\pi\) |
−0.0673741 | + | 0.997728i | \(0.521462\pi\) | |||||||
\(164\) | −3.40371 | + | 15.0341i | −0.265785 | + | 1.17397i | ||||
\(165\) | 0.852477 | + | 6.37738i | 0.0663653 | + | 0.496478i | ||||
\(166\) | 1.70452 | + | 2.13356i | 0.132296 | + | 0.165596i | ||||
\(167\) | −4.06731 | − | 7.04478i | −0.314738 | − | 0.545142i | 0.664644 | − | 0.747160i | \(-0.268583\pi\) |
−0.979382 | + | 0.202019i | \(0.935250\pi\) | |||||||
\(168\) | 9.73332 | − | 8.55936i | 0.750942 | − | 0.660369i | ||||
\(169\) | 5.86069 | − | 10.1510i | 0.450822 | − | 0.780847i | ||||
\(170\) | 6.65599 | − | 1.00920i | 0.510491 | − | 0.0774020i | ||||
\(171\) | −14.8030 | − | 3.90355i | −1.13202 | − | 0.298512i | ||||
\(172\) | 5.78195 | + | 18.6286i | 0.440870 | + | 1.42042i | ||||
\(173\) | −8.67895 | + | 5.01080i | −0.659849 | + | 0.380964i | −0.792219 | − | 0.610237i | \(-0.791074\pi\) |
0.132371 | + | 0.991200i | \(0.457741\pi\) | |||||||
\(174\) | −2.92221 | + | 3.05102i | −0.221532 | + | 0.231297i | ||||
\(175\) | −9.30508 | + | 1.28279i | −0.703398 | + | 0.0969699i | ||||
\(176\) | −12.3029 | + | 0.965381i | −0.927367 | + | 0.0727683i | ||||
\(177\) | −5.94534 | + | 14.4343i | −0.446879 | + | 1.08495i | ||||
\(178\) | 15.5945 | − | 12.4586i | 1.16886 | − | 0.933812i | ||||
\(179\) | 4.43670 | − | 2.56153i | 0.331614 | − | 0.191458i | −0.324943 | − | 0.945734i | \(-0.605345\pi\) |
0.656558 | + | 0.754276i | \(0.272012\pi\) | |||||||
\(180\) | 3.33909 | − | 6.40635i | 0.248881 | − | 0.477501i | ||||
\(181\) | − | 0.224272i | − | 0.0166700i | −0.999965 | − | 0.00833499i | \(-0.997347\pi\) | ||
0.999965 | − | 0.00833499i | \(-0.00265314\pi\) | |||||||
\(182\) | 17.8403 | − | 5.27470i | 1.32241 | − | 0.390987i | ||||
\(183\) | 11.2035 | + | 14.5409i | 0.828187 | + | 1.07489i | ||||
\(184\) | 10.6146 | + | 21.8940i | 0.782520 | + | 1.61404i | ||||
\(185\) | −2.09373 | + | 3.62645i | −0.153934 | + | 0.266622i | ||||
\(186\) | −2.65884 | − | 2.54659i | −0.194956 | − | 0.186725i | ||||
\(187\) | −10.5633 | + | 6.09871i | −0.772463 | + | 0.445982i | ||||
\(188\) | −0.547522 | + | 2.41839i | −0.0399322 | + | 0.176379i | ||||
\(189\) | −7.01683 | − | 11.8222i | −0.510399 | − | 0.859938i | ||||
\(190\) | 6.78887 | − | 5.42369i | 0.492517 | − | 0.393476i | ||||
\(191\) | −2.73775 | − | 4.74192i | −0.198097 | − | 0.343114i | 0.749815 | − | 0.661648i | \(-0.230143\pi\) |
−0.947911 | + | 0.318534i | \(0.896809\pi\) | |||||||
\(192\) | 11.9199 | + | 7.06520i | 0.860242 | + | 0.509887i | ||||
\(193\) | −9.32466 | + | 16.1508i | −0.671204 | + | 1.16256i | 0.306359 | + | 0.951916i | \(0.400889\pi\) |
−0.977563 | + | 0.210643i | \(0.932444\pi\) | |||||||
\(194\) | 7.33427 | − | 5.85942i | 0.526570 | − | 0.420682i | ||||
\(195\) | 8.21385 | − | 6.32865i | 0.588206 | − | 0.453204i | ||||
\(196\) | 12.4676 | + | 6.36852i | 0.890546 | + | 0.454894i | ||||
\(197\) | − | 2.25777i | − | 0.160859i | −0.996760 | − | 0.0804297i | \(-0.974371\pi\) | ||
0.996760 | − | 0.0804297i | \(-0.0256293\pi\) | |||||||
\(198\) | −1.40249 | + | 13.0140i | −0.0996705 | + | 0.924863i | ||||
\(199\) | 2.41951 | + | 4.19071i | 0.171514 | + | 0.297072i | 0.938949 | − | 0.344055i | \(-0.111801\pi\) |
−0.767435 | + | 0.641127i | \(0.778467\pi\) | |||||||
\(200\) | −4.38069 | − | 9.03571i | −0.309761 | − | 0.638921i | ||||
\(201\) | −1.91280 | + | 4.64397i | −0.134919 | + | 0.327560i | ||||
\(202\) | 6.34917 | − | 16.2192i | 0.446726 | − | 1.14118i | ||||
\(203\) | −4.22640 | − | 1.72052i | −0.296635 | − | 0.120757i | ||||
\(204\) | 13.6404 | + | 1.22768i | 0.955016 | + | 0.0859546i | ||||
\(205\) | −8.03672 | + | 4.64000i | −0.561309 | + | 0.324072i | ||||
\(206\) | −9.40630 | − | 3.68219i | −0.655368 | − | 0.256550i | ||||
\(207\) | 24.9012 | − | 6.77832i | 1.73076 | − | 0.471126i | ||||
\(208\) | 11.2610 | + | 16.3930i | 0.780811 | + | 1.13665i | ||||
\(209\) | −7.87188 | + | 13.6345i | −0.544510 | + | 0.943118i | ||||
\(210\) | 7.76161 | + | 0.804185i | 0.535602 | + | 0.0554941i | ||||
\(211\) | 16.9050 | − | 9.76013i | 1.16379 | − | 0.671915i | 0.211581 | − | 0.977360i | \(-0.432139\pi\) |
0.952210 | + | 0.305446i | \(0.0988054\pi\) | |||||||
\(212\) | 16.0222 | + | 3.62741i | 1.10041 | + | 0.249132i | ||||
\(213\) | −2.09676 | − | 15.6859i | −0.143668 | − | 1.07478i | ||||
\(214\) | −7.06025 | − | 8.83737i | −0.482629 | − | 0.604110i | ||||
\(215\) | −5.87135 | + | 10.1695i | −0.400423 | + | 0.693552i | ||||
\(216\) | 9.69882 | − | 11.0423i | 0.659921 | − | 0.751335i | ||||
\(217\) | 1.49937 | − | 3.68315i | 0.101784 | − | 0.250028i | ||||
\(218\) | 11.3265 | − | 1.71736i | 0.767130 | − | 0.116314i | ||||
\(219\) | −18.9849 | + | 14.6275i | −1.28288 | + | 0.988438i | ||||
\(220\) | −5.45503 | − | 5.04376i | −0.367778 | − | 0.340050i | ||||
\(221\) | 17.0237 | + | 9.82864i | 1.14514 | + | 0.661146i | ||||
\(222\) | −5.89247 | + | 6.15221i | −0.395476 | + | 0.412909i | ||||
\(223\) | −8.48171 | + | 14.6907i | −0.567977 | + | 0.983765i | 0.428789 | + | 0.903405i | \(0.358940\pi\) |
−0.996766 | + | 0.0803605i | \(0.974393\pi\) | |||||||
\(224\) | −2.35223 | + | 14.7806i | −0.157165 | + | 0.987572i | ||||
\(225\) | −10.2768 | + | 2.79743i | −0.685121 | + | 0.186496i | ||||
\(226\) | −0.464817 | − | 3.06562i | −0.0309192 | − | 0.203922i | ||||
\(227\) | − | 19.6516i | − | 1.30432i | −0.758080 | − | 0.652161i | \(-0.773863\pi\) | ||
0.758080 | − | 0.652161i | \(-0.226137\pi\) | |||||||
\(228\) | 16.0397 | − | 7.43079i | 1.06226 | − | 0.492116i | ||||
\(229\) | − | 6.55011i | − | 0.432844i | −0.976300 | − | 0.216422i | \(-0.930561\pi\) | ||
0.976300 | − | 0.216422i | \(-0.0694386\pi\) | |||||||
\(230\) | −5.33961 | + | 13.6403i | −0.352084 | + | 0.899412i | ||||
\(231\) | −13.6263 | + | 3.76944i | −0.896547 | + | 0.248011i | ||||
\(232\) | 0.351755 | − | 4.86555i | 0.0230938 | − | 0.319439i | ||||
\(233\) | 3.87408 | − | 6.71011i | 0.253800 | − | 0.439594i | −0.710769 | − | 0.703425i | \(-0.751653\pi\) |
0.964569 | + | 0.263831i | \(0.0849862\pi\) | |||||||
\(234\) | 19.2935 | − | 8.52919i | 1.26125 | − | 0.557571i | ||||
\(235\) | −1.29279 | + | 0.746392i | −0.0843323 | + | 0.0486893i | ||||
\(236\) | −5.34338 | − | 17.2156i | −0.347824 | − | 1.12064i | ||||
\(237\) | 0.915272 | − | 0.705204i | 0.0594533 | − | 0.0458079i | ||||
\(238\) | 4.19419 | + | 14.1858i | 0.271869 | + | 0.919527i | ||||
\(239\) | −1.73384 | − | 3.00309i | −0.112152 | − | 0.194254i | 0.804485 | − | 0.593972i | \(-0.202441\pi\) |
−0.916638 | + | 0.399719i | \(0.869108\pi\) | |||||||
\(240\) | 1.74868 | + | 8.15659i | 0.112877 | + | 0.526506i | ||||
\(241\) | −0.190127 | −0.0122472 | −0.00612358 | − | 0.999981i | \(-0.501949\pi\) | ||||
−0.00612358 | + | 0.999981i | \(0.501949\pi\) | |||||||
\(242\) | −1.95118 | − | 0.763808i | −0.125427 | − | 0.0490994i | ||||
\(243\) | −9.61191 | − | 12.2724i | −0.616604 | − | 0.787273i | ||||
\(244\) | −20.6729 | − | 4.68032i | −1.32345 | − | 0.299627i | ||||
\(245\) | 2.28052 | + | 8.11399i | 0.145697 | + | 0.518384i | ||||
\(246\) | −18.1261 | + | 5.27825i | −1.15568 | + | 0.336529i | ||||
\(247\) | 25.3725 | 1.61442 | ||||||||
\(248\) | 4.24014 | + | 0.306541i | 0.269249 | + | 0.0194653i | ||||
\(249\) | −1.27378 | + | 3.09252i | −0.0807224 | + | 0.195980i | ||||
\(250\) | 5.30722 | − | 13.5575i | 0.335658 | − | 0.857452i | ||||
\(251\) | − | 13.9646i | − | 0.881437i | −0.897645 | − | 0.440719i | \(-0.854724\pi\) | ||
0.897645 | − | 0.440719i | \(-0.145276\pi\) | |||||||
\(252\) | 14.9473 | + | 5.34599i | 0.941588 | + | 0.336766i | ||||
\(253\) | − | 26.5401i | − | 1.66856i | ||||||
\(254\) | 23.8091 | + | 9.32029i | 1.49391 | + | 0.584807i | ||||
\(255\) | 5.03224 | + | 6.53127i | 0.315131 | + | 0.409004i | ||||
\(256\) | −15.8042 | + | 2.49560i | −0.987761 | + | 0.155975i | ||||
\(257\) | 16.4225 | 1.02441 | 0.512205 | − | 0.858863i | \(-0.328829\pi\) | ||||
0.512205 | + | 0.858863i | \(0.328829\pi\) | |||||||
\(258\) | −16.5239 | + | 17.2523i | −1.02874 | + | 1.07408i | ||||
\(259\) | −8.52230 | − | 3.46934i | −0.529550 | − | 0.215574i | ||||
\(260\) | −2.64383 | + | 11.6777i | −0.163963 | + | 0.724221i | ||||
\(261\) | −5.00314 | − | 1.31932i | −0.309686 | − | 0.0816641i | ||||
\(262\) | 3.36682 | − | 8.60068i | 0.208003 | − | 0.531352i | ||||
\(263\) | 16.7677 | 1.03394 | 0.516971 | − | 0.856003i | \(-0.327059\pi\) | ||||
0.516971 | + | 0.856003i | \(0.327059\pi\) | |||||||
\(264\) | −8.33743 | − | 12.6067i | −0.513134 | − | 0.775886i | ||||
\(265\) | 4.94495 | + | 8.56491i | 0.303766 | + | 0.526138i | ||||
\(266\) | 13.8435 | + | 13.1503i | 0.848797 | + | 0.806297i | ||||
\(267\) | 22.6037 | + | 9.31025i | 1.38332 | + | 0.569778i | ||||
\(268\) | −1.71914 | − | 5.53879i | −0.105013 | − | 0.338336i | ||||
\(269\) | 16.9239 | − | 9.77102i | 1.03187 | − | 0.595750i | 0.114349 | − | 0.993441i | \(-0.463522\pi\) |
0.917519 | + | 0.397691i | \(0.130188\pi\) | |||||||
\(270\) | 8.84507 | − | 0.225871i | 0.538294 | − | 0.0137461i | ||||
\(271\) | 0.742734 | − | 1.28645i | 0.0451179 | − | 0.0781464i | −0.842585 | − | 0.538564i | \(-0.818967\pi\) |
0.887702 | + | 0.460418i | \(0.152300\pi\) | |||||||
\(272\) | −13.0350 | + | 8.95422i | −0.790361 | + | 0.542930i | ||||
\(273\) | 16.2410 | + | 15.9806i | 0.982949 | + | 0.967190i | ||||
\(274\) | 7.40270 | + | 2.89786i | 0.447213 | + | 0.175066i | ||||
\(275\) | 10.9532i | 0.660502i | ||||||||
\(276\) | −17.1533 | + | 24.3678i | −1.03251 | + | 1.46677i | ||||
\(277\) | − | 2.54372i | − | 0.152837i | −0.997076 | − | 0.0764187i | \(-0.975651\pi\) | ||
0.997076 | − | 0.0764187i | \(-0.0243486\pi\) | |||||||
\(278\) | −2.76245 | + | 0.418849i | −0.165680 | + | 0.0251209i | ||||
\(279\) | 1.14974 | − | 4.36004i | 0.0688331 | − | 0.261029i | ||||
\(280\) | −7.49492 | + | 5.00119i | −0.447907 | + | 0.298878i | ||||
\(281\) | 0.930613 | − | 1.61187i | 0.0555157 | − | 0.0961561i | −0.836932 | − | 0.547307i | \(-0.815653\pi\) |
0.892448 | + | 0.451151i | \(0.148986\pi\) | |||||||
\(282\) | −2.91577 | + | 0.849062i | −0.173631 | + | 0.0505609i | ||||
\(283\) | 0.844915 | + | 0.487812i | 0.0502250 | + | 0.0289974i | 0.524902 | − | 0.851163i | \(-0.324102\pi\) |
−0.474677 | + | 0.880160i | \(0.657435\pi\) | |||||||
\(284\) | 13.4173 | + | 12.4057i | 0.796167 | + | 0.736141i | ||||
\(285\) | 9.84024 | + | 4.05310i | 0.582885 | + | 0.240085i | ||||
\(286\) | −3.25208 | − | 21.4485i | −0.192299 | − | 1.26828i | ||||
\(287\) | −12.5120 | − | 16.1018i | −0.738561 | − | 0.950458i | ||||
\(288\) | −0.492864 | + | 16.9634i | −0.0290423 | + | 0.999578i | ||||
\(289\) | 0.684732 | − | 1.18599i | 0.0402783 | − | 0.0697641i | ||||
\(290\) | 2.29451 | − | 1.83310i | 0.134738 | − | 0.107643i | ||||
\(291\) | 10.6308 | + | 4.37871i | 0.623187 | + | 0.256685i | ||||
\(292\) | 6.11073 | − | 26.9910i | 0.357604 | − | 1.57953i | ||||
\(293\) | 4.03639 | − | 2.33041i | 0.235808 | − | 0.136144i | −0.377440 | − | 0.926034i | \(-0.623196\pi\) |
0.613249 | + | 0.789890i | \(0.289862\pi\) | |||||||
\(294\) | 0.578642 | + | 17.1367i | 0.0337471 | + | 0.999430i | ||||
\(295\) | 5.42599 | − | 9.39809i | 0.315913 | − | 0.547178i | ||||
\(296\) | 0.709293 | − | 9.81111i | 0.0412268 | − | 0.570259i | ||||
\(297\) | −14.7740 | + | 6.22291i | −0.857275 | + | 0.361090i | ||||
\(298\) | −11.4231 | + | 29.1809i | −0.661725 | + | 1.69040i | ||||
\(299\) | −37.0415 | + | 21.3859i | −2.14217 | + | 1.23678i | ||||
\(300\) | 7.07921 | − | 10.0567i | 0.408718 | − | 0.580622i | ||||
\(301\) | −23.8987 | − | 9.72889i | −1.37750 | − | 0.560764i | ||||
\(302\) | 21.1832 | + | 8.29238i | 1.21896 | + | 0.477173i | ||||
\(303\) | 21.1441 | − | 2.82638i | 1.21470 | − | 0.162371i | ||||
\(304\) | −8.79192 | + | 18.4216i | −0.504251 | + | 1.05655i | ||||
\(305\) | −6.38030 | − | 11.0510i | −0.365335 | − | 0.632779i | ||||
\(306\) | 6.78201 | + | 15.3413i | 0.387702 | + | 0.877001i | ||||
\(307\) | 13.5954i | 0.775932i | 0.921674 | + | 0.387966i | \(0.126822\pi\) | ||||
−0.921674 | + | 0.387966i | \(0.873178\pi\) | |||||||
\(308\) | 9.34216 | − | 13.3880i | 0.532319 | − | 0.762851i | ||||
\(309\) | −1.63915 | − | 12.2625i | −0.0932481 | − | 0.697589i | ||||
\(310\) | 1.59748 | + | 1.99957i | 0.0907306 | + | 0.113568i | ||||
\(311\) | −7.39899 | + | 12.8154i | −0.419558 | + | 0.726696i | −0.995895 | − | 0.0905163i | \(-0.971148\pi\) |
0.576337 | + | 0.817212i | \(0.304482\pi\) | |||||||
\(312\) | −10.8766 | + | 21.7948i | −0.615766 | + | 1.23389i | ||||
\(313\) | −16.9045 | − | 29.2795i | −0.955500 | − | 1.65497i | −0.733220 | − | 0.679991i | \(-0.761984\pi\) |
−0.222279 | − | 0.974983i | \(-0.571350\pi\) | |||||||
\(314\) | −10.5507 | − | 13.2064i | −0.595410 | − | 0.745280i | ||||
\(315\) | 3.74595 | + | 8.79215i | 0.211060 | + | 0.495382i | ||||
\(316\) | −0.294602 | + | 1.30125i | −0.0165727 | + | 0.0732011i | ||||
\(317\) | 13.3938 | − | 7.73293i | 0.752273 | − | 0.434325i | −0.0742419 | − | 0.997240i | \(-0.523654\pi\) |
0.826514 | + | 0.562915i | \(0.190320\pi\) | |||||||
\(318\) | 5.62515 | + | 19.3174i | 0.315443 | + | 1.08326i | ||||
\(319\) | −2.66054 | + | 4.60820i | −0.148962 | + | 0.258009i | ||||
\(320\) | −7.56243 | − | 5.96602i | −0.422753 | − | 0.333511i | ||||
\(321\) | 5.27609 | − | 12.8095i | 0.294483 | − | 0.714954i | ||||
\(322\) | −31.2942 | − | 7.52987i | −1.74396 | − | 0.419623i | ||||
\(323\) | 20.1750i | 1.12257i | ||||||||
\(324\) | 17.5867 | + | 3.83510i | 0.977039 | + | 0.213061i | ||||
\(325\) | 15.2871 | − | 8.82604i | 0.847978 | − | 0.489580i | ||||
\(326\) | −9.92904 | − | 12.4282i | −0.549918 | − | 0.688337i | ||||
\(327\) | 8.56341 | + | 11.1143i | 0.473558 | + | 0.614623i | ||||
\(328\) | 12.2327 | − | 18.0439i | 0.675438 | − | 0.996306i | ||||
\(329\) | −2.01269 | − | 2.59014i | −0.110963 | − | 0.142799i | ||||
\(330\) | 2.16500 | − | 8.83787i | 0.119180 | − | 0.486509i | ||||
\(331\) | 30.1710 | − | 17.4193i | 1.65835 | − | 0.957449i | 0.684874 | − | 0.728661i | \(-0.259857\pi\) |
0.973476 | − | 0.228788i | \(-0.0734762\pi\) | |||||||
\(332\) | −1.14481 | − | 3.68840i | −0.0628296 | − | 0.202427i | ||||
\(333\) | −10.0885 | − | 2.66034i | −0.552849 | − | 0.145786i | ||||
\(334\) | 1.72457 | + | 11.3741i | 0.0943642 | + | 0.622362i | ||||
\(335\) | 1.74571 | − | 3.02367i | 0.0953786 | − | 0.165201i | ||||
\(336\) | −17.2304 | + | 6.25420i | −0.939993 | + | 0.341194i | ||||
\(337\) | −14.4711 | − | 25.0646i | −0.788289 | − | 1.36536i | −0.927014 | − | 0.375026i | \(-0.877634\pi\) |
0.138726 | − | 0.990331i | \(-0.455699\pi\) | |||||||
\(338\) | −12.9510 | + | 10.3467i | −0.704441 | + | 0.562784i | ||||
\(339\) | 3.00817 | − | 2.31775i | 0.163382 | − | 0.125883i | ||||
\(340\) | −9.28557 | − | 2.10225i | −0.503581 | − | 0.114010i | ||||
\(341\) | −4.01586 | − | 2.31856i | −0.217471 | − | 0.125557i | ||||
\(342\) | 17.4819 | + | 12.7718i | 0.945312 | + | 0.690620i | ||||
\(343\) | −16.9780 | + | 7.39911i | −0.916727 | + | 0.399514i | ||||
\(344\) | 1.98904 | − | 27.5128i | 0.107242 | − | 1.48339i | ||||
\(345\) | −17.7821 | + | 2.37697i | −0.957355 | + | 0.127972i | ||||
\(346\) | 14.0125 | − | 2.12461i | 0.753318 | − | 0.114220i | ||||
\(347\) | −5.44117 | − | 3.14146i | −0.292097 | − | 0.168642i | 0.346790 | − | 0.937943i | \(-0.387272\pi\) |
−0.638887 | + | 0.769300i | \(0.720605\pi\) | |||||||
\(348\) | 5.42112 | − | 2.51146i | 0.290603 | − | 0.134629i | ||||
\(349\) | −5.57481 | − | 3.21862i | −0.298413 | − | 0.172289i | 0.343317 | − | 0.939220i | \(-0.388450\pi\) |
−0.641730 | + | 0.766931i | \(0.721783\pi\) | |||||||
\(350\) | 12.9152 | + | 3.10760i | 0.690348 | + | 0.166108i | ||||
\(351\) | 20.5900 | + | 15.6054i | 1.09901 | + | 0.832954i | ||||
\(352\) | 16.6995 | + | 5.07103i | 0.890085 | + | 0.270287i | ||||
\(353\) | 18.2117 | 0.969312 | 0.484656 | − | 0.874705i | \(-0.338945\pi\) | ||||
0.484656 | + | 0.874705i | \(0.338945\pi\) | |||||||
\(354\) | 15.2706 | − | 15.9437i | 0.811621 | − | 0.847397i | ||||
\(355\) | 11.0012i | 0.583882i | ||||||||
\(356\) | −26.9591 | + | 8.36759i | −1.42883 | + | 0.443482i | ||||
\(357\) | −12.7070 | + | 12.9141i | −0.672527 | + | 0.683485i | ||||
\(358\) | −7.16323 | + | 1.08611i | −0.378588 | + | 0.0574026i | ||||
\(359\) | 12.0321 | − | 20.8403i | 0.635032 | − | 1.09991i | −0.351476 | − | 0.936197i | \(-0.614320\pi\) |
0.986508 | − | 0.163711i | \(-0.0523465\pi\) | |||||||
\(360\) | −7.69985 | + | 6.71521i | −0.405818 | + | 0.353923i | ||||
\(361\) | 3.52042 | + | 6.09755i | 0.185285 | + | 0.320924i | ||||
\(362\) | −0.115616 | + | 0.295345i | −0.00607662 | + | 0.0155230i | ||||
\(363\) | −0.340015 | − | 2.54365i | −0.0178462 | − | 0.133507i | ||||
\(364\) | −26.2132 | − | 2.25067i | −1.37395 | − | 0.117967i | ||||
\(365\) | 14.4284 | − | 8.33026i | 0.755219 | − | 0.436026i | ||||
\(366\) | −7.25794 | − | 24.9245i | −0.379379 | − | 1.30283i | ||||
\(367\) | −19.9630 | −1.04206 | −0.521030 | − | 0.853539i | \(-0.674452\pi\) | ||||
−0.521030 | + | 0.853539i | \(0.674452\pi\) | |||||||
\(368\) | −2.69178 | − | 34.3043i | −0.140319 | − | 1.78824i | ||||
\(369\) | −16.4144 | − | 16.2846i | −0.854501 | − | 0.847744i | ||||
\(370\) | 4.62674 | − | 3.69635i | 0.240533 | − | 0.192164i | ||||
\(371\) | −17.1600 | + | 13.3343i | −0.890903 | + | 0.692284i | ||||
\(372\) | 2.18864 | + | 4.72430i | 0.113476 | + | 0.244943i | ||||
\(373\) | − | 16.4338i | − | 0.850911i | −0.904979 | − | 0.425456i | \(-0.860114\pi\) | ||
0.904979 | − | 0.425456i | \(-0.139886\pi\) | |||||||
\(374\) | 17.0548 | − | 2.58590i | 0.881884 | − | 0.133714i | ||||
\(375\) | 17.6742 | − | 2.36255i | 0.912692 | − | 0.122001i | ||||
\(376\) | 1.96776 | − | 2.90254i | 0.101479 | − | 0.149687i | ||||
\(377\) | 8.57542 | 0.441657 | ||||||||
\(378\) | 3.14598 | + | 19.1860i | 0.161812 | + | 0.986822i | ||||
\(379\) | 22.7424i | 1.16820i | 0.811683 | + | 0.584098i | \(0.198552\pi\) | ||||
−0.811683 | + | 0.584098i | \(0.801448\pi\) | |||||||
\(380\) | −11.7363 | + | 3.64273i | −0.602060 | + | 0.186868i | ||||
\(381\) | 4.14900 | + | 31.0386i | 0.212560 | + | 1.59016i | ||||
\(382\) | 1.16083 | + | 7.65603i | 0.0593931 | + | 0.391716i | ||||
\(383\) | 24.7287 | 1.26358 | 0.631790 | − | 0.775140i | \(-0.282321\pi\) | ||||
0.631790 | + | 0.775140i | \(0.282321\pi\) | |||||||
\(384\) | −12.0551 | − | 15.4491i | −0.615185 | − | 0.788383i | ||||
\(385\) | 9.73617 | − | 1.34222i | 0.496201 | − | 0.0684059i | ||||
\(386\) | 20.6057 | − | 16.4621i | 1.04880 | − | 0.837898i | ||||
\(387\) | −28.2908 | − | 7.46026i | −1.43810 | − | 0.379226i | ||||
\(388\) | −12.6792 | + | 3.93537i | −0.643688 | + | 0.199788i | ||||
\(389\) | − | 13.9862i | − | 0.709129i | −0.935032 | − | 0.354564i | \(-0.884629\pi\) | ||
0.935032 | − | 0.354564i | \(-0.115371\pi\) | |||||||
\(390\) | −14.0794 | + | 4.09987i | −0.712938 | + | 0.207605i | ||||
\(391\) | −17.0051 | − | 29.4537i | −0.859984 | − | 1.48954i | ||||
\(392\) | −13.1356 | − | 14.8140i | −0.663450 | − | 0.748220i | ||||
\(393\) | 11.2122 | − | 1.49876i | 0.565583 | − | 0.0756027i | ||||
\(394\) | −1.16392 | + | 2.97327i | −0.0586372 | + | 0.149791i | ||||
\(395\) | −0.695605 | + | 0.401607i | −0.0349997 | + | 0.0202071i | ||||
\(396\) | 8.55585 | − | 16.4152i | 0.429948 | − | 0.824894i | ||||
\(397\) | −1.69724 | − | 0.979904i | −0.0851822 | − | 0.0491800i | 0.456804 | − | 0.889567i | \(-0.348994\pi\) |
−0.541986 | + | 0.840387i | \(0.682327\pi\) | |||||||
\(398\) | −1.02589 | − | 6.76607i | −0.0514232 | − | 0.339152i | ||||
\(399\) | −5.86976 | + | 22.6363i | −0.293855 | + | 1.13323i | ||||
\(400\) | 1.11090 | + | 14.1575i | 0.0555452 | + | 0.707875i | ||||
\(401\) | −0.341655 | −0.0170614 | −0.00853071 | − | 0.999964i | \(-0.502715\pi\) | ||||
−0.00853071 | + | 0.999964i | \(0.502715\pi\) | |||||||
\(402\) | 4.91302 | − | 5.12959i | 0.245039 | − | 0.255841i | ||||
\(403\) | 7.47315i | 0.372264i | ||||||||
\(404\) | −16.7225 | + | 18.0861i | −0.831977 | + | 0.899817i | ||||
\(405\) | 5.49257 | + | 9.34136i | 0.272928 | + | 0.464176i | ||||
\(406\) | 4.67882 | + | 4.44455i | 0.232206 | + | 0.220579i | ||||
\(407\) | −5.36484 | + | 9.29217i | −0.265925 | + | 0.460596i | ||||
\(408\) | −17.3302 | − | 8.64855i | −0.857972 | − | 0.428167i | ||||
\(409\) | −17.4370 | + | 30.2018i | −0.862204 | + | 1.49338i | 0.00759318 | + | 0.999971i | \(0.497583\pi\) |
−0.869797 | + | 0.493410i | \(0.835750\pi\) | |||||||
\(410\) | 12.9756 | − | 1.96740i | 0.640820 | − | 0.0971628i | ||||
\(411\) | 1.29000 | + | 9.65050i | 0.0636311 | + | 0.476024i | ||||
\(412\) | 10.4890 | + | 9.69819i | 0.516756 | + | 0.477796i | ||||
\(413\) | 22.0859 | + | 8.99093i | 1.08677 | + | 0.442415i | ||||
\(414\) | −36.2870 | − | 3.91057i | −1.78341 | − | 0.192194i | ||||
\(415\) | 1.16251 | − | 2.01352i | 0.0570653 | − | 0.0988400i | ||||
\(416\) | −6.37883 | − | 27.3933i | −0.312748 | − | 1.34307i | ||||
\(417\) | −2.08854 | − | 2.71068i | −0.102276 | − | 0.132743i | ||||
\(418\) | 17.3953 | − | 13.8973i | 0.850834 | − | 0.679739i | ||||
\(419\) | 4.06238 | − | 2.34542i | 0.198460 | − | 0.114581i | −0.397477 | − | 0.917612i | \(-0.630114\pi\) |
0.595937 | + | 0.803031i | \(0.296781\pi\) | |||||||
\(420\) | −9.80675 | − | 5.06027i | −0.478520 | − | 0.246916i | ||||
\(421\) | 21.7094 | + | 12.5339i | 1.05805 | + | 0.610865i | 0.924892 | − | 0.380230i | \(-0.124155\pi\) |
0.133157 | + | 0.991095i | \(0.457489\pi\) | |||||||
\(422\) | −27.2939 | + | 4.13837i | −1.32864 | + | 0.201452i | ||||
\(423\) | −2.64043 | − | 2.61955i | −0.128382 | − | 0.127367i | ||||
\(424\) | −19.2297 | − | 13.0367i | −0.933879 | − | 0.633116i | ||||
\(425\) | 7.01805 | + | 12.1556i | 0.340425 | + | 0.589634i | ||||
\(426\) | −5.32507 | + | 21.7377i | −0.258000 | + | 1.05320i | ||||
\(427\) | 22.1410 | − | 17.2048i | 1.07148 | − | 0.832599i | ||||
\(428\) | 4.74189 | + | 15.2777i | 0.229208 | + | 0.738474i | ||||
\(429\) | 21.0466 | − | 16.2161i | 1.01614 | − | 0.782920i | ||||
\(430\) | 12.9745 | − | 10.3655i | 0.625688 | − | 0.499868i | ||||
\(431\) | −15.2533 | − | 26.4194i | −0.734724 | − | 1.27258i | −0.954844 | − | 0.297107i | \(-0.903978\pi\) |
0.220120 | − | 0.975473i | \(-0.429355\pi\) | |||||||
\(432\) | −18.4649 | + | 9.54182i | −0.888394 | + | 0.459081i | ||||
\(433\) | 22.3235 | 1.07280 | 0.536400 | − | 0.843964i | \(-0.319784\pi\) | ||||
0.536400 | + | 0.843964i | \(0.319784\pi\) | |||||||
\(434\) | −3.87325 | + | 4.07741i | −0.185922 | + | 0.195722i | ||||
\(435\) | 3.32581 | + | 1.36987i | 0.159460 | + | 0.0656801i | ||||
\(436\) | −15.8013 | − | 3.57741i | −0.756746 | − | 0.171327i | ||||
\(437\) | −38.0172 | − | 21.9492i | −1.81861 | − | 1.04997i | ||||
\(438\) | 32.5420 | − | 9.47613i | 1.55492 | − | 0.452787i | ||||
\(439\) | 4.17216 | + | 7.22639i | 0.199126 | + | 0.344897i | 0.948245 | − | 0.317539i | \(-0.102856\pi\) |
−0.749119 | + | 0.662435i | \(0.769523\pi\) | |||||||
\(440\) | 4.58363 | + | 9.45431i | 0.218516 | + | 0.450717i | ||||
\(441\) | −18.0145 | + | 10.7925i | −0.857832 | + | 0.513930i | ||||
\(442\) | −17.3518 | − | 21.7194i | −0.825341 | − | 1.03309i | ||||
\(443\) | −0.352662 | + | 0.203609i | −0.0167555 | + | 0.00967377i | −0.508354 | − | 0.861148i | \(-0.669746\pi\) |
0.491599 | + | 0.870822i | \(0.336413\pi\) | |||||||
\(444\) | 10.9314 | − | 5.06422i | 0.518781 | − | 0.240337i | ||||
\(445\) | −14.7172 | − | 8.49696i | −0.697661 | − | 0.402795i | ||||
\(446\) | 18.7429 | − | 14.9739i | 0.887503 | − | 0.709034i | ||||
\(447\) | −38.0416 | + | 5.08510i | −1.79930 | + | 0.240517i | ||||
\(448\) | 10.7173 | − | 18.2521i | 0.506346 | − | 0.862331i | ||||
\(449\) | −28.9395 | −1.36574 | −0.682869 | − | 0.730541i | \(-0.739268\pi\) | ||||
−0.682869 | + | 0.730541i | \(0.739268\pi\) | |||||||
\(450\) | 14.9757 | + | 1.61390i | 0.705963 | + | 0.0760801i | ||||
\(451\) | −20.5927 | + | 11.8892i | −0.969674 | + | 0.559842i | ||||
\(452\) | −0.968253 | + | 4.27675i | −0.0455428 | + | 0.201161i | ||||
\(453\) | 3.69141 | + | 27.6154i | 0.173438 | + | 1.29749i | ||||
\(454\) | −10.1307 | + | 25.8793i | −0.475458 | + | 1.21458i | ||||
\(455\) | −9.71868 | − | 12.5070i | −0.455619 | − | 0.586338i | ||||
\(456\) | −24.9535 | + | 1.51692i | −1.16856 | + | 0.0710363i | ||||
\(457\) | −9.84340 | − | 17.0493i | −0.460455 | − | 0.797532i | 0.538529 | − | 0.842607i | \(-0.318980\pi\) |
−0.998984 | + | 0.0450757i | \(0.985647\pi\) | |||||||
\(458\) | −3.37669 | + | 8.62589i | −0.157782 | + | 0.403061i | ||||
\(459\) | −12.4087 | + | 16.3722i | −0.579187 | + | 0.764190i | ||||
\(460\) | 14.0635 | − | 15.2103i | 0.655716 | − | 0.709184i | ||||
\(461\) | −2.81419 | − | 1.62477i | −0.131070 | − | 0.0756731i | 0.433031 | − | 0.901379i | \(-0.357444\pi\) |
−0.564101 | + | 0.825706i | \(0.690777\pi\) | |||||||
\(462\) | 19.8878 | + | 2.06059i | 0.925265 | + | 0.0958672i | ||||
\(463\) | −11.1994 | − | 19.3979i | −0.520480 | − | 0.901497i | −0.999716 | − | 0.0238116i | \(-0.992420\pi\) |
0.479237 | − | 0.877686i | \(-0.340914\pi\) | |||||||
\(464\) | −2.97150 | + | 6.22614i | −0.137948 | + | 0.289042i | ||||
\(465\) | −1.19379 | + | 2.89831i | −0.0553605 | + | 0.134406i | ||||
\(466\) | −8.56098 | + | 6.83944i | −0.396580 | + | 0.316831i | ||||
\(467\) | 18.4036 | + | 10.6253i | 0.851617 | + | 0.491681i | 0.861196 | − | 0.508273i | \(-0.169716\pi\) |
−0.00957923 | + | 0.999954i | \(0.503049\pi\) | |||||||
\(468\) | −29.8046 | + | 1.28606i | −1.37772 | + | 0.0594482i | ||||
\(469\) | 7.10573 | + | 2.89267i | 0.328112 | + | 0.133571i | ||||
\(470\) | 2.08726 | − | 0.316476i | 0.0962781 | − | 0.0145979i | ||||
\(471\) | 7.88449 | − | 19.1422i | 0.363298 | − | 0.882026i | ||||
\(472\) | −1.83816 | + | 25.4259i | −0.0846083 | + | 1.17032i | ||||
\(473\) | −15.0443 | + | 26.0575i | −0.691739 | + | 1.19813i | ||||
\(474\) | −1.56887 | + | 0.456850i | −0.0720607 | + | 0.0209838i | ||||
\(475\) | 15.6898 | + | 9.05851i | 0.719898 | + | 0.415633i | ||||
\(476\) | 1.78963 | − | 20.8435i | 0.0820275 | − | 0.955361i | ||||
\(477\) | −17.3549 | + | 17.4932i | −0.794626 | + | 0.800959i | ||||
\(478\) | 0.735159 | + | 4.84861i | 0.0336254 | + | 0.221770i | ||||
\(479\) | 25.4743 | 1.16395 | 0.581976 | − | 0.813206i | \(-0.302280\pi\) | ||||
0.581976 | + | 0.813206i | \(0.302280\pi\) | |||||||
\(480\) | 1.90200 | − | 11.6429i | 0.0868142 | − | 0.531425i | ||||
\(481\) | 17.2919 | 0.788441 | ||||||||
\(482\) | 0.250379 | + | 0.0980134i | 0.0114045 | + | 0.00446439i | ||||
\(483\) | −10.5104 | − | 37.9944i | −0.478238 | − | 1.72880i | ||||
\(484\) | 2.17577 | + | 2.01173i | 0.0988985 | + | 0.0914422i | ||||
\(485\) | −6.92165 | − | 3.99622i | −0.314296 | − | 0.181459i | ||||
\(486\) | 6.33138 | + | 21.1167i | 0.287197 | + | 0.957871i | ||||
\(487\) | 16.6969 | + | 28.9199i | 0.756609 | + | 1.31049i | 0.944570 | + | 0.328309i | \(0.106479\pi\) |
−0.187961 | + | 0.982176i | \(0.560188\pi\) | |||||||
\(488\) | 24.8115 | + | 16.8207i | 1.12316 | + | 0.761439i | ||||
\(489\) | 7.41992 | − | 18.0143i | 0.335540 | − | 0.814635i | ||||
\(490\) | 1.17966 | − | 11.8610i | 0.0532916 | − | 0.535826i | ||||
\(491\) | −4.10192 | + | 2.36824i | −0.185117 | + | 0.106877i | −0.589695 | − | 0.807626i | \(-0.700752\pi\) |
0.404578 | + | 0.914504i | \(0.367419\pi\) | |||||||
\(492\) | 26.5914 | + | 2.39331i | 1.19883 | + | 0.107899i | ||||
\(493\) | 6.81877i | 0.307102i | ||||||||
\(494\) | −33.4133 | − | 13.0799i | −1.50333 | − | 0.588494i | ||||
\(495\) | 10.7529 | − | 2.92703i | 0.483308 | − | 0.131560i | ||||
\(496\) | −5.42584 | − | 2.58954i | −0.243628 | − | 0.116274i | ||||
\(497\) | −23.9472 | + | 3.30134i | −1.07418 | + | 0.148085i | ||||
\(498\) | 3.27169 | − | 3.41590i | 0.146608 | − | 0.153070i | ||||
\(499\) | 19.1575i | 0.857605i | 0.903398 | + | 0.428803i | \(0.141064\pi\) | ||||
−0.903398 | + | 0.428803i | \(0.858936\pi\) | |||||||
\(500\) | −13.9782 | + | 15.1180i | −0.625125 | + | 0.676099i | ||||
\(501\) | −11.1610 | + | 8.59935i | −0.498635 | + | 0.384191i | ||||
\(502\) | −7.19897 | + | 18.3901i | −0.321306 | + | 0.820789i | ||||
\(503\) | 7.33907 | 0.327233 | 0.163616 | − | 0.986524i | \(-0.447684\pi\) | ||||
0.163616 | + | 0.986524i | \(0.447684\pi\) | |||||||
\(504\) | −16.9282 | − | 14.7457i | −0.754042 | − | 0.656827i | ||||
\(505\) | −14.8293 | −0.659896 | ||||||||
\(506\) | −13.6818 | + | 34.9509i | −0.608232 | + | 1.55376i | ||||
\(507\) | −18.7720 | − | 7.73201i | −0.833695 | − | 0.343391i | ||||
\(508\) | −26.5496 | − | 24.5479i | −1.17795 | − | 1.08914i | ||||
\(509\) | − | 0.737612i | − | 0.0326941i | −0.999866 | − | 0.0163470i | \(-0.994796\pi\) | ||
0.999866 | − | 0.0163470i | \(-0.00520365\pi\) | |||||||
\(510\) | −3.26003 | − | 11.1953i | −0.144356 | − | 0.495735i | ||||
\(511\) | 22.4630 | + | 28.9077i | 0.993704 | + | 1.27880i | ||||
\(512\) | 22.0991 | + | 4.86083i | 0.976654 | + | 0.214820i | ||||
\(513\) | −3.30446 | + | 26.3094i | −0.145895 | + | 1.16159i | ||||
\(514\) | −21.6270 | − | 8.46608i | −0.953924 | − | 0.373423i | ||||
\(515\) | 8.60022i | 0.378971i | ||||||||
\(516\) | 30.6543 | − | 14.2013i | 1.34948 | − | 0.625179i | ||||
\(517\) | −3.31255 | + | 1.91250i | −0.145686 | + | 0.0841118i | ||||
\(518\) | 9.43458 | + | 8.96218i | 0.414532 | + | 0.393775i | ||||
\(519\) | 10.5941 | + | 13.7500i | 0.465031 | + | 0.603556i | ||||
\(520\) | 9.50172 | − | 14.0155i | 0.416678 | − | 0.614622i | ||||
\(521\) | −12.9458 | − | 22.4228i | −0.567166 | − | 0.982360i | −0.996845 | − | 0.0793783i | \(-0.974706\pi\) |
0.429679 | − | 0.902982i | \(-0.358627\pi\) | |||||||
\(522\) | 5.90853 | + | 4.31662i | 0.258610 | + | 0.188933i | ||||
\(523\) | 14.6678 | + | 8.46844i | 0.641377 | + | 0.370299i | 0.785145 | − | 0.619312i | \(-0.212588\pi\) |
−0.143768 | + | 0.989611i | \(0.545922\pi\) | |||||||
\(524\) | −8.86757 | + | 9.59065i | −0.387382 | + | 0.418969i | ||||
\(525\) | 4.33766 | + | 15.6804i | 0.189311 | + | 0.684349i | ||||
\(526\) | −22.0815 | − | 8.64403i | −0.962801 | − | 0.376898i | ||||
\(527\) | −5.94230 | −0.258850 | ||||||||
\(528\) | 4.48069 | + | 20.8999i | 0.194997 | + | 0.909550i | ||||
\(529\) | 51.0020 | 2.21748 | ||||||||
\(530\) | −2.09670 | − | 13.8284i | −0.0910747 | − | 0.600667i | ||||
\(531\) | 26.1449 | + | 6.89438i | 1.13459 | + | 0.299191i | ||||
\(532\) | −11.4514 | − | 24.4542i | −0.496479 | − | 1.06023i | ||||
\(533\) | 33.1871 | + | 19.1606i | 1.43749 | + | 0.829937i | ||||
\(534\) | −24.9674 | − | 23.9133i | −1.08045 | − | 1.03483i | ||||
\(535\) | −4.81521 | + | 8.34018i | −0.208180 | + | 0.360578i | ||||
\(536\) | −0.591395 | + | 8.18032i | −0.0255444 | + | 0.353336i | ||||
\(537\) | −5.41574 | − | 7.02900i | −0.233707 | − | 0.303324i | ||||
\(538\) | −27.3243 | + | 4.14299i | −1.17804 | + | 0.178617i | ||||
\(539\) | 5.84344 | + | 20.7907i | 0.251695 | + | 0.895520i | ||||
\(540\) | −11.7646 | − | 4.26232i | −0.506267 | − | 0.183421i | ||||
\(541\) | −5.97436 | − | 3.44930i | −0.256858 | − | 0.148297i | 0.366043 | − | 0.930598i | \(-0.380712\pi\) |
−0.622900 | + | 0.782301i | \(0.714046\pi\) | |||||||
\(542\) | −1.64130 | + | 1.31125i | −0.0704998 | + | 0.0563229i | ||||
\(543\) | −0.385025 | + | 0.0514672i | −0.0165230 | + | 0.00220867i | ||||
\(544\) | 21.7819 | − | 5.07214i | 0.933891 | − | 0.217466i | ||||
\(545\) | −4.87679 | − | 8.44685i | −0.208899 | − | 0.361823i | ||||
\(546\) | −13.1496 | − | 29.4174i | −0.562751 | − | 1.25895i | ||||
\(547\) | −35.9571 | − | 20.7598i | −1.53741 | − | 0.887626i | −0.998989 | − | 0.0449517i | \(-0.985687\pi\) |
−0.538424 | − | 0.842674i | \(-0.680980\pi\) | |||||||
\(548\) | −8.25477 | − | 7.63241i | −0.352626 | − | 0.326040i | ||||
\(549\) | 22.3924 | − | 22.5709i | 0.955685 | − | 0.963302i | ||||
\(550\) | 5.64654 | − | 14.4243i | 0.240769 | − | 0.615055i | ||||
\(551\) | 4.40065 | + | 7.62215i | 0.187474 | + | 0.324714i | ||||
\(552\) | 35.1512 | − | 23.2473i | 1.49614 | − | 0.989472i | ||||
\(553\) | −1.08296 | − | 1.39366i | −0.0460519 | − | 0.0592645i | ||||
\(554\) | −1.31133 | + | 3.34985i | −0.0557130 | + | 0.142321i | ||||
\(555\) | 6.70631 | + | 2.76226i | 0.284667 | + | 0.117251i | ||||
\(556\) | 3.85381 | + | 0.872499i | 0.163438 | + | 0.0370022i | ||||
\(557\) | −17.9043 | + | 10.3371i | −0.758630 | + | 0.437995i | −0.828804 | − | 0.559540i | \(-0.810978\pi\) |
0.0701736 | + | 0.997535i | \(0.477645\pi\) | |||||||
\(558\) | −3.76177 | + | 5.14906i | −0.159248 | + | 0.217977i | ||||
\(559\) | 48.4907 | 2.05094 | ||||||||
\(560\) | 12.4483 | − | 2.72235i | 0.526037 | − | 0.115040i | ||||
\(561\) | 12.8943 | + | 16.7353i | 0.544397 | + | 0.706563i | ||||
\(562\) | −2.05647 | + | 1.64294i | −0.0867471 | + | 0.0693031i | ||||
\(563\) | −5.29495 | − | 3.05704i | −0.223156 | − | 0.128839i | 0.384255 | − | 0.923227i | \(-0.374458\pi\) |
−0.607411 | + | 0.794388i | \(0.707792\pi\) | |||||||
\(564\) | 4.27750 | + | 0.384989i | 0.180115 | + | 0.0162110i | ||||
\(565\) | −2.28620 | + | 1.31994i | −0.0961813 | + | 0.0555303i | ||||
\(566\) | −0.861200 | − | 1.07797i | −0.0361989 | − | 0.0453105i | ||||
\(567\) | −18.6858 | + | 14.7594i | −0.784732 | + | 0.619836i | ||||
\(568\) | −11.2740 | − | 23.2539i | −0.473044 | − | 0.975713i | ||||
\(569\) | −15.2323 | − | 26.3831i | −0.638570 | − | 1.10604i | −0.985747 | − | 0.168236i | \(-0.946193\pi\) |
0.347177 | − | 0.937800i | \(-0.387140\pi\) | |||||||
\(570\) | −10.8692 | − | 10.4103i | −0.455262 | − | 0.436042i | ||||
\(571\) | 20.5389 | + | 11.8581i | 0.859527 | + | 0.496248i | 0.863854 | − | 0.503743i | \(-0.168044\pi\) |
−0.00432704 | + | 0.999991i | \(0.501377\pi\) | |||||||
\(572\) | −6.77436 | + | 29.9222i | −0.283250 | + | 1.25111i | ||||
\(573\) | −7.51257 | + | 5.78832i | −0.313842 | + | 0.241811i | ||||
\(574\) | 8.17643 | + | 27.6547i | 0.341278 | + | 1.15428i | ||||
\(575\) | −30.5408 | −1.27364 | ||||||||
\(576\) | 9.39396 | − | 22.0851i | 0.391415 | − | 0.920214i | ||||
\(577\) | −14.4404 | − | 25.0114i | −0.601160 | − | 1.04124i | −0.992646 | − | 0.121056i | \(-0.961372\pi\) |
0.391486 | − | 0.920184i | \(-0.371961\pi\) | |||||||
\(578\) | −1.51312 | + | 1.20885i | −0.0629377 | + | 0.0502815i | ||||
\(579\) | 29.8672 | + | 12.3020i | 1.24124 | + | 0.511255i | ||||
\(580\) | −3.96665 | + | 1.23117i | −0.164706 | + | 0.0511216i | ||||
\(581\) | 4.73186 | + | 1.92629i | 0.196311 | + | 0.0799160i | ||||
\(582\) | −11.7424 | − | 11.2467i | −0.486740 | − | 0.466190i | ||||
\(583\) | 12.6706 | + | 21.9461i | 0.524763 | + | 0.908916i | ||||
\(584\) | −21.9615 | + | 32.3944i | −0.908775 | + | 1.34049i | ||||
\(585\) | −12.7499 | − | 12.6491i | −0.527142 | − | 0.522974i | ||||
\(586\) | −6.51691 | + | 0.988111i | −0.269211 | + | 0.0408185i | ||||
\(587\) | −28.4007 | − | 16.3972i | −1.17222 | − | 0.676783i | −0.218020 | − | 0.975944i | \(-0.569960\pi\) |
−0.954203 | + | 0.299161i | \(0.903293\pi\) | |||||||
\(588\) | 8.07220 | − | 22.8657i | 0.332892 | − | 0.942965i | ||||
\(589\) | −6.64241 | + | 3.83500i | −0.273696 | + | 0.158018i | ||||
\(590\) | −11.9904 | + | 9.57923i | −0.493637 | + | 0.394371i | ||||
\(591\) | −3.87610 | + | 0.518126i | −0.159441 | + | 0.0213128i | ||||
\(592\) | −5.99186 | + | 12.5547i | −0.246264 | + | 0.515994i | ||||
\(593\) | −8.82204 | + | 15.2802i | −0.362278 | + | 0.627483i | −0.988335 | − | 0.152293i | \(-0.951334\pi\) |
0.626058 | + | 0.779777i | \(0.284667\pi\) | |||||||
\(594\) | 22.6640 | − | 0.578757i | 0.929915 | − | 0.0237467i | ||||
\(595\) | 9.94499 | − | 7.72783i | 0.407705 | − | 0.316810i | ||||
\(596\) | 30.0864 | − | 32.5397i | 1.23239 | − | 1.33288i | ||||
\(597\) | 6.63929 | − | 5.11547i | 0.271728 | − | 0.209362i | ||||
\(598\) | 59.8050 | − | 9.06779i | 2.44561 | − | 0.370810i | ||||
\(599\) | 14.5653 | − | 25.2279i | 0.595124 | − | 1.03078i | −0.398406 | − | 0.917209i | \(-0.630436\pi\) |
0.993529 | − | 0.113575i | \(-0.0362302\pi\) | |||||||
\(600\) | −14.5070 | + | 9.59424i | −0.592247 | + | 0.391683i | ||||
\(601\) | −5.82948 | + | 10.0970i | −0.237790 | + | 0.411864i | −0.960080 | − | 0.279727i | \(-0.909756\pi\) |
0.722290 | + | 0.691590i | \(0.243090\pi\) | |||||||
\(602\) | 26.4569 | + | 25.1322i | 1.07830 | + | 1.02431i | ||||
\(603\) | 8.41164 | + | 2.21814i | 0.342548 | + | 0.0903297i | ||||
\(604\) | −23.6215 | − | 21.8406i | −0.961145 | − | 0.888680i | ||||
\(605\) | 1.78397i | 0.0725288i | ||||||||
\(606\) | −29.3019 | − | 7.17805i | −1.19031 | − | 0.291588i | ||||
\(607\) | 0.351624 | 0.0142720 | 0.00713600 | − | 0.999975i | \(-0.497729\pi\) | ||||
0.00713600 | + | 0.999975i | \(0.497729\pi\) | |||||||
\(608\) | 21.0748 | − | 19.7272i | 0.854695 | − | 0.800042i | ||||
\(609\) | −1.98386 | + | 7.65064i | −0.0803902 | + | 0.310020i | ||||
\(610\) | 2.70530 | + | 17.8423i | 0.109534 | + | 0.722414i | ||||
\(611\) | 5.33849 | + | 3.08218i | 0.215972 | + | 0.124692i | ||||
\(612\) | −1.02261 | − | 23.6992i | −0.0413368 | − | 0.957985i | ||||
\(613\) | 4.11764 | − | 2.37732i | 0.166310 | − | 0.0960191i | −0.414535 | − | 0.910033i | \(-0.636056\pi\) |
0.580845 | + | 0.814014i | \(0.302722\pi\) | |||||||
\(614\) | 7.00866 | − | 17.9039i | 0.282846 | − | 0.722543i | ||||
\(615\) | 9.81018 | + | 12.7325i | 0.395585 | + | 0.513423i | ||||
\(616\) | −19.2045 | + | 12.8147i | −0.773770 | + | 0.516319i | ||||
\(617\) | 1.95016 | + | 3.37778i | 0.0785107 | + | 0.135984i | 0.902608 | − | 0.430464i | \(-0.141650\pi\) |
−0.824097 | + | 0.566449i | \(0.808317\pi\) | |||||||
\(618\) | −4.16289 | + | 16.9936i | −0.167456 | + | 0.683581i | ||||
\(619\) | − | 4.30673i | − | 0.173102i | −0.996247 | − | 0.0865510i | \(-0.972415\pi\) | ||
0.996247 | − | 0.0865510i | \(-0.0275846\pi\) | |||||||
\(620\) | −1.07292 | − | 3.45678i | −0.0430894 | − | 0.138828i | ||||
\(621\) | −17.3514 | − | 41.1945i | −0.696287 | − | 1.65308i | ||||
\(622\) | 16.3503 | − | 13.0624i | 0.655588 | − | 0.523755i | ||||
\(623\) | 14.0796 | − | 34.5859i | 0.564086 | − | 1.38566i | ||||
\(624\) | 25.5590 | − | 23.0947i | 1.02318 | − | 0.924526i | ||||
\(625\) | 5.35557 | 0.214223 | ||||||||
\(626\) | 7.16764 | + | 47.2729i | 0.286476 | + | 1.88940i | ||||
\(627\) | 25.2139 | + | 10.3854i | 1.00695 | + | 0.414752i | ||||
\(628\) | 7.08619 | + | 22.8306i | 0.282770 | + | 0.911041i | ||||
\(629\) | 13.7497i | 0.548235i | ||||||||
\(630\) | −0.400569 | − | 13.5095i | −0.0159591 | − | 0.538233i | ||||
\(631\) | 33.6332 | 1.33892 | 0.669458 | − | 0.742850i | \(-0.266527\pi\) | ||||
0.669458 | + | 0.742850i | \(0.266527\pi\) | |||||||
\(632\) | 1.05878 | − | 1.56176i | 0.0421160 | − | 0.0621233i | ||||
\(633\) | −20.6355 | − | 26.7824i | −0.820186 | − | 1.06451i | ||||
\(634\) | −21.6249 | + | 3.27882i | −0.858834 | + | 0.130219i | ||||
\(635\) | − | 21.7688i | − | 0.863867i | ||||||
\(636\) | 2.55061 | − | 28.3390i | 0.101138 | − | 1.12372i | ||||
\(637\) | 24.3086 | − | 24.9087i | 0.963141 | − | 0.986917i | ||||
\(638\) | 5.87928 | − | 4.69701i | 0.232763 | − | 0.185957i | ||||
\(639\) | −26.4480 | + | 7.19936i | −1.04627 | + | 0.284802i | ||||
\(640\) | 6.88344 | + | 11.7552i | 0.272092 | + | 0.464667i | ||||
\(641\) | 23.6680 | 0.934830 | 0.467415 | − | 0.884038i | \(-0.345185\pi\) | ||||
0.467415 | + | 0.884038i | \(0.345185\pi\) | |||||||
\(642\) | −13.5516 | + | 14.1490i | −0.534839 | + | 0.558415i | ||||
\(643\) | −13.5690 | + | 7.83405i | −0.535108 | + | 0.308945i | −0.743094 | − | 0.669187i | \(-0.766643\pi\) |
0.207986 | + | 0.978132i | \(0.433309\pi\) | |||||||
\(644\) | 37.3298 | + | 26.0488i | 1.47100 | + | 1.02647i | ||||
\(645\) | 18.8061 | + | 7.74607i | 0.740491 | + | 0.305001i | ||||
\(646\) | 10.4006 | − | 26.5687i | 0.409204 | − | 1.04533i | ||||
\(647\) | 15.4232 | + | 26.7138i | 0.606348 | + | 1.05023i | 0.991837 | + | 0.127513i | \(0.0406996\pi\) |
−0.385489 | + | 0.922713i | \(0.625967\pi\) | |||||||
\(648\) | −21.1830 | − | 14.1167i | −0.832146 | − | 0.554556i | ||||
\(649\) | 13.9032 | − | 24.0810i | 0.545748 | − | 0.945263i | ||||
\(650\) | −24.6817 | + | 3.74231i | −0.968096 | + | 0.146785i | ||||
\(651\) | −6.66724 | − | 1.72886i | −0.261310 | − | 0.0677594i | ||||
\(652\) | 6.66866 | + | 21.4854i | 0.261165 | + | 0.841434i | ||||
\(653\) | − | 26.3879i | − | 1.03264i | −0.856396 | − | 0.516320i | \(-0.827301\pi\) | ||
0.856396 | − | 0.516320i | \(-0.172699\pi\) | |||||||
\(654\) | −5.54761 | − | 19.0511i | −0.216929 | − | 0.744956i | ||||
\(655\) | −7.86364 | −0.307258 | ||||||||
\(656\) | −25.4112 | + | 17.4559i | −0.992141 | + | 0.681540i | ||||
\(657\) | 29.4690 | + | 29.2360i | 1.14970 | + | 1.14061i | ||||
\(658\) | 1.31526 | + | 4.44854i | 0.0512743 | + | 0.173422i | ||||
\(659\) | 38.7004 | + | 22.3437i | 1.50755 | + | 0.870386i | 0.999961 | + | 0.00878902i | \(0.00279767\pi\) |
0.507592 | + | 0.861597i | \(0.330536\pi\) | |||||||
\(660\) | −7.40717 | + | 10.5226i | −0.288324 | + | 0.409590i | ||||
\(661\) | 8.79746 | + | 5.07922i | 0.342182 | + | 0.197559i | 0.661236 | − | 0.750178i | \(-0.270032\pi\) |
−0.319055 | + | 0.947736i | \(0.603365\pi\) | |||||||
\(662\) | −48.7124 | + | 7.38589i | −1.89326 | + | 0.287061i | ||||
\(663\) | 12.9669 | − | 31.4815i | 0.503593 | − | 1.22264i | ||||
\(664\) | −0.393823 | + | 5.44745i | −0.0152833 | + | 0.211402i | ||||
\(665\) | 6.12936 | − | 15.0565i | 0.237686 | − | 0.583867i | ||||
\(666\) | 11.9142 | + | 8.70423i | 0.461667 | + | 0.337282i | ||||
\(667\) | −12.8491 | − | 7.41841i | −0.497518 | − | 0.287242i | ||||
\(668\) | 3.59242 | − | 15.8676i | 0.138995 | − | 0.613938i | ||||
\(669\) | 27.1672 | + | 11.1899i | 1.05035 | + | 0.432627i | ||||
\(670\) | −3.85769 | + | 3.08194i | −0.149036 | + | 0.119066i | ||||
\(671\) | −16.3484 | − | 28.3163i | −0.631125 | − | 1.09314i | ||||
\(672\) | 25.9149 | + | 0.646324i | 0.999689 | + | 0.0249325i | ||||
\(673\) | 16.3493 | − | 28.3178i | 0.630219 | − | 1.09157i | −0.357288 | − | 0.933994i | \(-0.616298\pi\) |
0.987507 | − | 0.157577i | \(-0.0503682\pi\) | |||||||
\(674\) | 6.13584 | + | 40.4678i | 0.236344 | + | 1.55876i | ||||
\(675\) | 7.16097 | + | 17.0011i | 0.275626 | + | 0.654372i | ||||
\(676\) | 22.3891 | − | 6.94915i | 0.861120 | − | 0.267275i | ||||
\(677\) | −5.10480 | + | 2.94726i | −0.196194 | + | 0.113272i | −0.594879 | − | 0.803815i | \(-0.702800\pi\) |
0.398685 | + | 0.917088i | \(0.369467\pi\) | |||||||
\(678\) | −5.15632 | + | 1.50150i | −0.198027 | + | 0.0576649i | ||||
\(679\) | 6.62178 | − | 16.2661i | 0.254120 | − | 0.624237i | ||||
\(680\) | 11.1445 | + | 7.55532i | 0.427372 | + | 0.289733i | ||||
\(681\) | −33.7375 | + | 4.50976i | −1.29282 | + | 0.172814i | ||||
\(682\) | 4.09326 | + | 5.12357i | 0.156739 | + | 0.196192i | ||||
\(683\) | 4.94281 | − | 2.85374i | 0.189132 | − | 0.109195i | −0.402444 | − | 0.915444i | \(-0.631839\pi\) |
0.591576 | + | 0.806249i | \(0.298506\pi\) | |||||||
\(684\) | −16.4379 | − | 25.8315i | −0.628520 | − | 0.987691i | ||||
\(685\) | − | 6.76832i | − | 0.258604i | ||||||
\(686\) | 26.1728 | − | 0.991503i | 0.999283 | − | 0.0378558i | ||||
\(687\) | −11.2451 | + | 1.50316i | −0.429028 | + | 0.0573490i | ||||
\(688\) | −16.8027 | + | 35.2064i | −0.640595 | + | 1.34223i | ||||
\(689\) | 20.4199 | − | 35.3682i | 0.777935 | − | 1.34742i | ||||
\(690\) | 24.6427 | + | 6.03670i | 0.938132 | + | 0.229813i | ||||
\(691\) | −21.3296 | + | 12.3146i | −0.811414 | + | 0.468470i | −0.847447 | − | 0.530880i | \(-0.821861\pi\) |
0.0360324 | + | 0.999351i | \(0.488528\pi\) | |||||||
\(692\) | −19.5484 | − | 4.42575i | −0.743121 | − | 0.168242i | ||||
\(693\) | 9.59835 | + | 22.5284i | 0.364611 | + | 0.855783i | ||||
\(694\) | 5.54604 | + | 6.94202i | 0.210525 | + | 0.263515i | ||||
\(695\) | 1.18941 | + | 2.06011i | 0.0451168 | + | 0.0781445i | ||||
\(696\) | −8.43381 | + | 0.512689i | −0.319683 | + | 0.0194334i | ||||
\(697\) | −15.2356 | + | 26.3888i | −0.577089 | + | 0.999548i | ||||
\(698\) | 5.68226 | + | 7.11252i | 0.215077 | + | 0.269213i | ||||
\(699\) | −12.4088 | − | 5.11108i | −0.469345 | − | 0.193319i | ||||
\(700\) | −15.4061 | − | 10.7504i | −0.582297 | − | 0.406328i | ||||
\(701\) | 20.0448i | 0.757084i | 0.925584 | + | 0.378542i | \(0.123574\pi\) | ||||
−0.925584 | + | 0.378542i | \(0.876426\pi\) | |||||||
\(702\) | −19.0703 | − | 31.1653i | −0.719763 | − | 1.17626i | ||||
\(703\) | 8.87366 | + | 15.3696i | 0.334676 | + | 0.579677i | ||||
\(704\) | −19.3774 | − | 15.2869i | −0.730315 | − | 0.576147i | ||||
\(705\) | 1.57807 | + | 2.04815i | 0.0594335 | + | 0.0771378i | ||||
\(706\) | −23.9831 | − | 9.38843i | −0.902617 | − | 0.353338i | ||||
\(707\) | −4.45012 | − | 32.2802i | −0.167364 | − | 1.21402i | ||||
\(708\) | −28.3291 | + | 13.1241i | −1.06467 | + | 0.493235i | ||||
\(709\) | −16.6788 | + | 9.62954i | −0.626387 | + | 0.361645i | −0.779352 | − | 0.626587i | \(-0.784451\pi\) |
0.152964 | + | 0.988232i | \(0.451118\pi\) | |||||||
\(710\) | 5.67128 | − | 14.4875i | 0.212840 | − | 0.543708i | ||||
\(711\) | −1.42072 | − | 1.40949i | −0.0532812 | − | 0.0528599i | ||||
\(712\) | 39.8163 | + | 2.87851i | 1.49218 | + | 0.107877i | ||||
\(713\) | 6.46486 | − | 11.1975i | 0.242111 | − | 0.419348i | ||||
\(714\) | 23.3914 | − | 10.4559i | 0.875400 | − | 0.391304i | ||||
\(715\) | −15.9954 | + | 9.23493i | −0.598193 | + | 0.345367i | ||||
\(716\) | 9.99321 | + | 2.26245i | 0.373464 | + | 0.0845519i | ||||
\(717\) | −4.75776 | + | 3.66578i | −0.177682 | + | 0.136901i | ||||
\(718\) | −26.5887 | + | 21.2419i | −0.992281 | + | 0.792742i | ||||
\(719\) | −2.95045 | + | 5.11034i | −0.110033 | + | 0.190583i | −0.915783 | − | 0.401672i | \(-0.868429\pi\) |
0.805750 | + | 0.592256i | \(0.201762\pi\) | |||||||
\(720\) | 13.6018 | − | 4.87392i | 0.506908 | − | 0.181640i | ||||
\(721\) | −18.7208 | + | 2.58084i | −0.697199 | + | 0.0961154i | ||||
\(722\) | −1.49269 | − | 9.84474i | −0.0555520 | − | 0.366383i | ||||
\(723\) | 0.0436314 | + | 0.326406i | 0.00162267 | + | 0.0121392i | ||||
\(724\) | 0.304510 | − | 0.329340i | 0.0113170 | − | 0.0122398i | ||||
\(725\) | 5.30285 | + | 3.06160i | 0.196943 | + | 0.113705i | ||||
\(726\) | −0.863523 | + | 3.52503i | −0.0320483 | + | 0.130826i | ||||
\(727\) | 5.92848 | − | 10.2684i | 0.219875 | − | 0.380835i | −0.734895 | − | 0.678181i | \(-0.762768\pi\) |
0.954770 | + | 0.297347i | \(0.0961017\pi\) | |||||||
\(728\) | 33.3601 | + | 16.4773i | 1.23641 | + | 0.610688i | ||||
\(729\) | −18.8632 | + | 19.3179i | −0.698637 | + | 0.715477i | ||||
\(730\) | −23.2953 | + | 3.53209i | −0.862198 | + | 0.130729i | ||||
\(731\) | 38.5575i | 1.42610i | ||||||||
\(732\) | −3.29096 | + | 36.5649i | −0.121637 | + | 1.35148i | ||||
\(733\) | 26.5238i | 0.979680i | 0.871812 | + | 0.489840i | \(0.162945\pi\) | ||||
−0.871812 | + | 0.489840i | \(0.837055\pi\) | |||||||
\(734\) | 26.2894 | + | 10.2912i | 0.970359 | + | 0.379856i | ||||
\(735\) | 13.4066 | − | 5.77719i | 0.494510 | − | 0.213095i | ||||
\(736\) | −14.1396 | + | 46.5632i | −0.521192 | + | 1.71634i | ||||
\(737\) | 4.47310 | − | 7.74763i | 0.164769 | − | 0.285388i | ||||
\(738\) | 13.2213 | + | 29.9072i | 0.486682 | + | 1.10090i | ||||
\(739\) | −13.0287 | + | 7.52215i | −0.479270 | + | 0.276707i | −0.720112 | − | 0.693858i | \(-0.755910\pi\) |
0.240842 | + | 0.970564i | \(0.422576\pi\) | |||||||
\(740\) | −7.99852 | + | 2.48259i | −0.294031 | + | 0.0912616i | ||||
\(741\) | −5.82264 | − | 43.5591i | −0.213900 | − | 1.60018i | ||||
\(742\) | 29.4722 | − | 8.71380i | 1.08196 | − | 0.319894i | ||||
\(743\) | 12.7703 | + | 22.1188i | 0.468496 | + | 0.811460i | 0.999352 | − | 0.0360029i | \(-0.0114626\pi\) |
−0.530855 | + | 0.847463i | \(0.678129\pi\) | |||||||
\(744\) | −0.446789 | − | 7.34974i | −0.0163801 | − | 0.269455i | ||||
\(745\) | 26.6802 | 0.977488 | ||||||||
\(746\) | −8.47190 | + | 21.6418i | −0.310178 | + | 0.792363i | ||||
\(747\) | 5.60149 | + | 1.47711i | 0.204948 | + | 0.0540446i | ||||
\(748\) | −23.7927 | − | 5.38665i | −0.869947 | − | 0.196955i | ||||
\(749\) | −19.5997 | − | 7.97885i | −0.716159 | − | 0.291541i | ||||
\(750\) | −24.4932 | − | 6.00007i | −0.894366 | − | 0.219092i | ||||
\(751\) | 45.0522 | 1.64398 | 0.821989 | − | 0.569503i | \(-0.192864\pi\) | ||||
0.821989 | + | 0.569503i | \(0.192864\pi\) | |||||||
\(752\) | −4.08766 | + | 2.80797i | −0.149061 | + | 0.102396i | ||||
\(753\) | −23.9741 | + | 3.20467i | −0.873666 | + | 0.116785i | ||||
\(754\) | −11.2930 | − | 4.42077i | −0.411268 | − | 0.160995i | ||||
\(755\) | − | 19.3679i | − | 0.704871i | ||||||
\(756\) | 5.74772 | − | 26.8880i | 0.209043 | − | 0.977907i | ||||
\(757\) | − | 36.3330i | − | 1.32055i | −0.751026 | − | 0.660273i | \(-0.770441\pi\) | ||
0.751026 | − | 0.660273i | \(-0.229559\pi\) | |||||||
\(758\) | 11.7240 | − | 29.9496i | 0.425836 | − | 1.08782i | ||||
\(759\) | −45.5636 | + | 6.09058i | −1.65385 | + | 0.221074i | ||||
\(760\) | 17.3335 | + | 1.25312i | 0.628753 | + | 0.0454556i | ||||
\(761\) | −49.4239 | −1.79162 | −0.895808 | − | 0.444442i | \(-0.853402\pi\) | ||||
−0.895808 | + | 0.444442i | \(0.853402\pi\) | |||||||
\(762\) | 10.5371 | − | 43.0138i | 0.381717 | − | 1.55823i | ||||
\(763\) | 16.9235 | − | 13.1505i | 0.612671 | − | 0.476081i | ||||
\(764\) | 2.41810 | − | 10.6807i | 0.0874838 | − | 0.386414i | ||||
\(765\) | 10.0579 | − | 10.1381i | 0.363645 | − | 0.366544i | ||||
\(766\) | −32.5654 | − | 12.7480i | −1.17664 | − | 0.460606i | ||||
\(767\) | −44.8125 | −1.61809 | ||||||||
\(768\) | 7.91123 | + | 26.5596i | 0.285472 | + | 0.958387i | ||||
\(769\) | 24.1471 | + | 41.8240i | 0.870766 | + | 1.50821i | 0.861206 | + | 0.508256i | \(0.169710\pi\) |
0.00956006 | + | 0.999954i | \(0.496957\pi\) | |||||||
\(770\) | −13.5136 | − | 3.25157i | −0.486995 | − | 0.117178i | ||||
\(771\) | −3.76874 | − | 28.1939i | −0.135728 | − | 1.01538i | ||||
\(772\) | −35.6222 | + | 11.0565i | −1.28207 | + | 0.397931i | ||||
\(773\) | 28.7377 | − | 16.5917i | 1.03362 | − | 0.596762i | 0.115602 | − | 0.993296i | \(-0.463120\pi\) |
0.918020 | + | 0.396533i | \(0.129787\pi\) | |||||||
\(774\) | 33.4105 | + | 24.4088i | 1.20091 | + | 0.877357i | ||||
\(775\) | −2.66807 | + | 4.62123i | −0.0958398 | + | 0.165999i | ||||
\(776\) | 18.7260 | + | 1.35380i | 0.672226 | + | 0.0485985i | ||||
\(777\) | −4.00035 | + | 15.4271i | −0.143512 | + | 0.553444i | ||||
\(778\) | −7.21011 | + | 18.4185i | −0.258495 | + | 0.660336i | ||||
\(779\) | 39.3305i | 1.40916i | ||||||||
\(780\) | 20.6548 | + | 1.85900i | 0.739561 | + | 0.0665629i | ||||
\(781\) | 28.1887i | 1.00867i | ||||||||
\(782\) | 7.21028 | + | 47.5541i | 0.257839 | + | 1.70053i | ||||
\(783\) | −1.11684 | + | 8.89206i | −0.0399127 | + | 0.317776i | ||||
\(784\) | 9.66157 | + | 26.2803i | 0.345056 | + | 0.938582i | ||||
\(785\) | −7.19575 | + | 12.4634i | −0.256827 | + | 0.444838i | ||||
\(786\) | −15.5381 | − | 3.80636i | −0.554226 | − | 0.135768i | ||||
\(787\) | −25.5276 | − | 14.7384i | −0.909960 | − | 0.525366i | −0.0295417 | − | 0.999564i | \(-0.509405\pi\) |
−0.880418 | + | 0.474198i | \(0.842738\pi\) | |||||||
\(788\) | 3.06554 | − | 3.31551i | 0.109205 | − | 0.118110i | ||||
\(789\) | −3.84796 | − | 28.7865i | −0.136991 | − | 1.02483i | ||||
\(790\) | 1.12308 | − | 0.170285i | 0.0399574 | − | 0.00605845i | ||||
\(791\) | −3.55929 | − | 4.58047i | −0.126554 | − | 0.162863i | ||||
\(792\) | −19.7296 | + | 17.2066i | −0.701059 | + | 0.611410i | ||||
\(793\) | −26.3470 | + | 45.6344i | −0.935611 | + | 1.62053i | ||||
\(794\) | 1.72996 | + | 2.16540i | 0.0613939 | + | 0.0768471i | ||||
\(795\) | 13.5693 | − | 10.4549i | 0.481253 | − | 0.370798i | ||||
\(796\) | −2.13701 | + | 9.43914i | −0.0757445 | + | 0.334562i | ||||
\(797\) | −42.3890 | + | 24.4733i | −1.50150 | + | 0.866889i | −0.501497 | + | 0.865160i | \(0.667217\pi\) |
−0.999999 | + | 0.00172895i | \(0.999450\pi\) | |||||||
\(798\) | 19.3993 | − | 26.7840i | 0.686728 | − | 0.948143i | ||||
\(799\) | −2.45080 | + | 4.24491i | −0.0867031 | + | 0.150174i | ||||
\(800\) | 5.83545 | − | 19.2168i | 0.206314 | − | 0.679416i | ||||
\(801\) | 10.7964 | − | 40.9422i | 0.381473 | − | 1.44662i | ||||
\(802\) | 0.449927 | + | 0.176128i | 0.0158875 | + | 0.00621931i | ||||
\(803\) | 36.9704 | − | 21.3449i | 1.30466 | − | 0.753245i | ||||
\(804\) | −9.11438 | + | 4.22245i | −0.321439 | + | 0.148914i | ||||
\(805\) | 3.74252 | + | 27.1474i | 0.131907 | + | 0.956821i | ||||
\(806\) | 3.85253 | − | 9.84144i | 0.135699 | − | 0.346650i | ||||
\(807\) | −20.6585 | − | 26.8123i | −0.727214 | − | 0.943839i | ||||
\(808\) | 31.3457 | − | 15.1970i | 1.10274 | − | 0.534628i | ||||
\(809\) | −5.37172 | − | 9.30409i | −0.188860 | − | 0.327114i | 0.756011 | − | 0.654559i | \(-0.227146\pi\) |
−0.944870 | + | 0.327445i | \(0.893812\pi\) | |||||||
\(810\) | −2.41759 | − | 15.1332i | −0.0849454 | − | 0.531727i | ||||
\(811\) | − | 52.5237i | − | 1.84436i | −0.386764 | − | 0.922179i | \(-0.626407\pi\) | ||
0.386764 | − | 0.922179i | \(-0.373593\pi\) | |||||||
\(812\) | −3.87034 | − | 8.26506i | −0.135822 | − | 0.290047i | ||||
\(813\) | −2.37900 | − | 0.979888i | −0.0834353 | − | 0.0343662i | ||||
\(814\) | 11.8552 | − | 9.47126i | 0.415526 | − | 0.331968i | ||||
\(815\) | −6.77176 | + | 11.7290i | −0.237204 | + | 0.410850i | ||||
\(816\) | 18.3638 | + | 20.3233i | 0.642861 | + | 0.711459i | ||||
\(817\) | 24.8840 | + | 43.1003i | 0.870579 | + | 1.50789i | ||||
\(818\) | 38.5324 | − | 30.7839i | 1.34725 | − | 1.07633i | ||||
\(819\) | 23.7081 | − | 31.5495i | 0.828429 | − | 1.10243i | ||||
\(820\) | −18.1019 | − | 4.09825i | −0.632145 | − | 0.143117i | ||||
\(821\) | −38.8307 | + | 22.4189i | −1.35520 | + | 0.782425i | −0.988972 | − | 0.148100i | \(-0.952684\pi\) |
−0.366228 | + | 0.930525i | \(0.619351\pi\) | |||||||
\(822\) | 3.27617 | − | 13.3738i | 0.114270 | − | 0.466466i | ||||
\(823\) | 4.32564 | − | 7.49224i | 0.150782 | − | 0.261163i | −0.780733 | − | 0.624865i | \(-0.785154\pi\) |
0.931515 | + | 0.363702i | \(0.118487\pi\) | |||||||
\(824\) | −8.81346 | − | 18.1789i | −0.307031 | − | 0.633290i | ||||
\(825\) | 18.8042 | − | 2.51360i | 0.654679 | − | 0.0875123i | ||||
\(826\) | −24.4501 | − | 23.2258i | −0.850727 | − | 0.808130i | ||||
\(827\) | − | 40.6593i | − | 1.41386i | −0.707283 | − | 0.706931i | \(-0.750079\pi\) | ||
0.707283 | − | 0.706931i | \(-0.249921\pi\) | |||||||
\(828\) | 45.7706 | + | 23.8563i | 1.59064 | + | 0.829065i | ||||
\(829\) | −3.95074 | + | 2.28096i | −0.137215 | + | 0.0792211i | −0.567036 | − | 0.823693i | \(-0.691910\pi\) |
0.429821 | + | 0.902914i | \(0.358577\pi\) | |||||||
\(830\) | −2.56892 | + | 2.05233i | −0.0891685 | + | 0.0712375i | ||||
\(831\) | −4.36701 | + | 0.583748i | −0.151490 | + | 0.0202500i | ||||
\(832\) | −5.72137 | + | 39.3629i | −0.198353 | + | 1.36466i | ||||
\(833\) | 19.8062 | + | 19.3290i | 0.686244 | + | 0.669711i | ||||
\(834\) | 1.35301 | + | 4.64639i | 0.0468510 | + | 0.160891i | ||||
\(835\) | 8.48230 | − | 4.89726i | 0.293542 | − | 0.169477i | ||||
\(836\) | −30.0723 | + | 9.33386i | −1.04007 | + | 0.322818i | ||||
\(837\) | −7.74908 | − | 0.973284i | −0.267848 | − | 0.0336416i | ||||
\(838\) | −6.55888 | + | 0.994475i | −0.226573 | + | 0.0343536i | ||||
\(839\) | −20.8129 | + | 36.0490i | −0.718542 | + | 1.24455i | 0.243036 | + | 0.970017i | \(0.421857\pi\) |
−0.961578 | + | 0.274534i | \(0.911477\pi\) | |||||||
\(840\) | 10.3059 | + | 11.7194i | 0.355588 | + | 0.404359i | ||||
\(841\) | −13.0127 | − | 22.5386i | −0.448713 | − | 0.777193i | ||||
\(842\) | −22.1278 | − | 27.6975i | −0.762573 | − | 0.954519i | ||||
\(843\) | −2.98079 | − | 1.22776i | −0.102664 | − | 0.0422862i | ||||
\(844\) | 38.0769 | + | 8.62057i | 1.31066 | + | 0.296732i | ||||
\(845\) | 12.2224 | + | 7.05659i | 0.420462 | + | 0.242754i | ||||
\(846\) | 2.12678 | + | 4.81089i | 0.0731202 | + | 0.165402i | ||||
\(847\) | −3.88332 | + | 0.535351i | −0.133432 | + | 0.0183949i | ||||
\(848\) | 18.6032 | + | 27.0813i | 0.638836 | + | 0.929975i | ||||
\(849\) | 0.643570 | − | 1.56248i | 0.0220873 | − | 0.0536242i | ||||
\(850\) | −2.97570 | − | 19.6257i | −0.102066 | − | 0.673157i | ||||
\(851\) | −25.9094 | − | 14.9588i | −0.888163 | − | 0.512781i | ||||
\(852\) | 18.2188 | − | 25.8814i | 0.624164 | − | 0.886682i | ||||
\(853\) | 18.5560 | + | 10.7133i | 0.635345 | + | 0.366816i | 0.782819 | − | 0.622249i | \(-0.213781\pi\) |
−0.147474 | + | 0.989066i | \(0.547114\pi\) | |||||||
\(854\) | −38.0270 | + | 11.2431i | −1.30126 | + | 0.384732i | ||||
\(855\) | 4.70009 | − | 17.8237i | 0.160740 | − | 0.609556i | ||||
\(856\) | 1.63125 | − | 22.5638i | 0.0557549 | − | 0.771214i | ||||
\(857\) | 17.7079 | 0.604889 | 0.302445 | − | 0.953167i | \(-0.402197\pi\) | ||||
0.302445 | + | 0.953167i | \(0.402197\pi\) | |||||||
\(858\) | −36.0761 | + | 10.5052i | −1.23162 | + | 0.358643i | ||||
\(859\) | − | 13.5957i | − | 0.463879i | −0.972730 | − | 0.231940i | \(-0.925493\pi\) | ||
0.972730 | − | 0.231940i | \(-0.0745072\pi\) | |||||||
\(860\) | −22.4298 | + | 6.96179i | −0.764851 | + | 0.237395i | ||||
\(861\) | −24.7719 | + | 25.1755i | −0.844224 | + | 0.857979i | ||||
\(862\) | 6.46750 | + | 42.6552i | 0.220284 | + | 1.45284i | ||||
\(863\) | −18.5377 | + | 32.1083i | −0.631032 | + | 1.09298i | 0.356310 | + | 0.934368i | \(0.384035\pi\) |
−0.987341 | + | 0.158611i | \(0.949298\pi\) | |||||||
\(864\) | 29.2356 | − | 3.04672i | 0.994614 | − | 0.103651i | ||||
\(865\) | −6.03327 | − | 10.4499i | −0.205137 | − | 0.355308i | ||||
\(866\) | −29.3980 | − | 11.5081i | −0.998985 | − | 0.391062i | ||||
\(867\) | −2.19322 | − | 0.903366i | −0.0744857 | − | 0.0306799i | ||||
\(868\) | 7.20268 | − | 3.37285i | 0.244475 | − | 0.114482i | ||||
\(869\) | −1.78237 | + | 1.02905i | −0.0604627 | + | 0.0349082i | ||||
\(870\) | −3.67359 | − | 3.51850i | −0.124546 | − | 0.119288i | ||||
\(871\) | −14.4176 | −0.488522 | ||||||||
\(872\) | 18.9647 | + | 12.8569i | 0.642225 | + | 0.435391i | ||||
\(873\) | 5.07768 | − | 19.2556i | 0.171853 | − | 0.651702i | ||||
\(874\) | 38.7499 | + | 48.5035i | 1.31074 | + | 1.64066i | ||||
\(875\) | −3.71982 | − | 26.9827i | −0.125753 | − | 0.912183i | ||||
\(876\) | −47.7399 | − | 4.29675i | −1.61298 | − | 0.145174i | ||||
\(877\) | 39.5791i | 1.33649i | 0.743941 | + | 0.668245i | \(0.232954\pi\) | ||||
−0.743941 | + | 0.668245i | \(0.767046\pi\) | |||||||
\(878\) | −1.76902 | − | 11.6673i | −0.0597017 | − | 0.393752i | ||||
\(879\) | −4.92710 | − | 6.39480i | −0.166187 | − | 0.215691i | ||||
\(880\) | −1.16237 | − | 14.8134i | −0.0391835 | − | 0.499359i | ||||
\(881\) | 14.4866 | 0.488066 | 0.244033 | − | 0.969767i | \(-0.421530\pi\) | ||||
0.244033 | + | 0.969767i | \(0.421530\pi\) | |||||||
\(882\) | 29.2871 | − | 4.92602i | 0.986148 | − | 0.165868i | ||||
\(883\) | 1.55845i | 0.0524460i | 0.999656 | + | 0.0262230i | \(0.00834800\pi\) | ||||
−0.999656 | + | 0.0262230i | \(0.991652\pi\) | |||||||
\(884\) | 11.6540 | + | 37.5475i | 0.391967 | + | 1.26286i | ||||
\(885\) | −17.3797 | − | 7.15851i | −0.584211 | − | 0.240631i | ||||
\(886\) | 0.569386 | − | 0.0863318i | 0.0191289 | − | 0.00290037i | ||||
\(887\) | −23.6692 | −0.794735 | −0.397367 | − | 0.917660i | \(-0.630076\pi\) | ||||
−0.397367 | + | 0.917660i | \(0.630076\pi\) | |||||||
\(888\) | −17.0063 | + | 1.03381i | −0.570694 | + | 0.0346924i | ||||
\(889\) | 47.3858 | − | 6.53257i | 1.58927 | − | 0.219095i | ||||
\(890\) | 15.0008 | + | 18.7766i | 0.502829 | + | 0.629395i | ||||
\(891\) | 14.0738 | + | 23.9357i | 0.471490 | + | 0.801875i | ||||
\(892\) | −32.4020 | + | 10.0569i | −1.08490 | + | 0.336731i | ||||
\(893\) | 6.32672i | 0.211716i | ||||||||
\(894\) | 52.7186 | + | 12.9144i | 1.76318 | + | 0.431923i | ||||
\(895\) | 3.08422 | + | 5.34203i | 0.103094 | + | 0.178564i | ||||
\(896\) | −23.5230 | + | 18.5114i | −0.785847 | + | 0.618421i | ||||
\(897\) | 45.2154 | + | 58.6844i | 1.50970 | + | 1.95941i | ||||
\(898\) | 38.1106 | + | 14.9188i | 1.27177 | + | 0.497845i | ||||
\(899\) | −2.24500 | + | 1.29615i | −0.0748751 | + | 0.0432291i | ||||
\(900\) | −18.8897 | − | 9.84559i | −0.629655 | − | 0.328186i | ||||
\(901\) | 28.1231 | + | 16.2369i | 0.936918 | + | 0.540930i | ||||
\(902\) | 33.2478 | − | 5.04112i | 1.10703 | − | 0.167851i | ||||
\(903\) | −11.2180 | + | 43.2614i | −0.373311 | + | 1.43965i | ||||
\(904\) | 3.47983 | − | 5.13293i | 0.115737 | − | 0.170719i | ||||
\(905\) | 0.270035 | 0.00897628 | ||||||||
\(906\) | 9.37494 | − | 38.2699i | 0.311462 | − | 1.27143i | ||||
\(907\) | 3.57895i | 0.118837i | 0.998233 | + | 0.0594186i | \(0.0189247\pi\) | ||||
−0.998233 | + | 0.0594186i | \(0.981075\pi\) | |||||||
\(908\) | 26.6824 | − | 28.8581i | 0.885486 | − | 0.957690i | ||||
\(909\) | −9.70455 | − | 35.6512i | −0.321880 | − | 1.18248i | ||||
\(910\) | 6.35103 | + | 21.4807i | 0.210535 | + | 0.712079i | ||||
\(911\) | 2.01295 | − | 3.48653i | 0.0666920 | − | 0.115514i | −0.830751 | − | 0.556644i | \(-0.812089\pi\) |
0.897443 | + | 0.441130i | \(0.145422\pi\) | |||||||
\(912\) | 33.6435 | + | 10.8663i | 1.11405 | + | 0.359819i | ||||
\(913\) | 2.97873 | − | 5.15931i | 0.0985816 | − | 0.170748i | ||||
\(914\) | 4.17368 | + | 27.5267i | 0.138053 | + | 0.910504i | ||||
\(915\) | −17.5080 | + | 13.4896i | −0.578796 | + | 0.445953i | ||||
\(916\) | 8.89356 | − | 9.61875i | 0.293851 | − | 0.317813i | ||||
\(917\) | −2.35980 | − | 17.1174i | −0.0779273 | − | 0.565267i | ||||
\(918\) | 24.7812 | − | 15.1638i | 0.817901 | − | 0.500481i | ||||
\(919\) | 12.4636 | − | 21.5876i | 0.411136 | − | 0.712108i | −0.583878 | − | 0.811841i | \(-0.698466\pi\) |
0.995014 | + | 0.0997330i | \(0.0317989\pi\) | |||||||
\(920\) | −26.3615 | + | 12.7806i | −0.869114 | + | 0.421363i | ||||
\(921\) | 23.3404 | − | 3.11996i | 0.769092 | − | 0.102806i | ||||
\(922\) | 2.86843 | + | 3.59043i | 0.0944666 | + | 0.118245i | ||||
\(923\) | 39.3424 | − | 22.7143i | 1.29497 | − | 0.747651i | ||||
\(924\) | −25.1281 | − | 12.9661i | −0.826655 | − | 0.426553i | ||||
\(925\) | 10.6929 | + | 6.17355i | 0.351580 | + | 0.202985i | ||||
\(926\) | 4.74862 | + | 31.3187i | 0.156049 | + | 1.02920i | ||||
\(927\) | −20.6758 | + | 5.62813i | −0.679084 | + | 0.184852i | ||||
\(928\) | 7.12286 | − | 6.66740i | 0.233819 | − | 0.218868i | ||||
\(929\) | 19.3195 | + | 33.4623i | 0.633851 | + | 1.09786i | 0.986757 | + | 0.162203i | \(0.0518601\pi\) |
−0.352906 | + | 0.935659i | \(0.614807\pi\) | |||||||
\(930\) | 3.06623 | − | 3.20139i | 0.100546 | − | 0.104978i | ||||
\(931\) | 34.6141 | + | 8.82397i | 1.13443 | + | 0.289194i | ||||
\(932\) | 14.7998 | − | 4.59359i | 0.484785 | − | 0.150468i | ||||
\(933\) | 23.6992 | + | 9.76148i | 0.775878 | + | 0.319577i | ||||
\(934\) | −18.7583 | − | 23.4799i | −0.613790 | − | 0.768286i | ||||
\(935\) | −7.34318 | − | 12.7188i | −0.240148 | − | 0.415948i | ||||
\(936\) | 39.9129 | + | 13.6711i | 1.30459 | + | 0.446855i | ||||
\(937\) | 4.54013 | 0.148320 | 0.0741598 | − | 0.997246i | \(-0.476373\pi\) | ||||
0.0741598 | + | 0.997246i | \(0.476373\pi\) | |||||||
\(938\) | −7.86637 | − | 7.47249i | −0.256846 | − | 0.243985i | ||||
\(939\) | −46.3871 | + | 35.7406i | −1.51379 | + | 1.16635i | ||||
\(940\) | −2.91188 | − | 0.659246i | −0.0949749 | − | 0.0215022i | ||||
\(941\) | 34.0479 | + | 19.6576i | 1.10993 | + | 0.640818i | 0.938811 | − | 0.344432i | \(-0.111928\pi\) |
0.171119 | + | 0.985250i | \(0.445262\pi\) | |||||||
\(942\) | −20.2512 | + | 21.1439i | −0.659821 | + | 0.688906i | ||||
\(943\) | −33.1508 | − | 57.4189i | −1.07954 | − | 1.86982i | ||||
\(944\) | 15.5281 | − | 32.5359i | 0.505398 | − | 1.05895i | ||||
\(945\) | 14.2346 | − | 8.44864i | 0.463050 | − | 0.274834i | ||||
\(946\) | 33.2451 | − | 26.5598i | 1.08089 | − | 0.863533i | ||||
\(947\) | −6.18499 | + | 3.57091i | −0.200985 | + | 0.116039i | −0.597115 | − | 0.802156i | \(-0.703686\pi\) |
0.396130 | + | 0.918195i | \(0.370353\pi\) | |||||||
\(948\) | 2.30157 | + | 0.207149i | 0.0747516 | + | 0.00672789i | ||||
\(949\) | −59.5813 | − | 34.3993i | −1.93409 | − | 1.11665i | ||||
\(950\) | −15.9922 | − | 20.0176i | −0.518856 | − | 0.649455i | ||||
\(951\) | −16.3494 | − | 21.2197i | −0.530167 | − | 0.688095i | ||||
\(952\) | −13.1019 | + | 26.5264i | −0.424636 | + | 0.859725i | ||||
\(953\) | −31.2103 | −1.01100 | −0.505500 | − | 0.862827i | \(-0.668692\pi\) | ||||
−0.505500 | + | 0.862827i | \(0.668692\pi\) | |||||||
\(954\) | 31.8728 | − | 14.0902i | 1.03192 | − | 0.456188i | ||||
\(955\) | 5.70953 | − | 3.29640i | 0.184756 | − | 0.106669i | ||||
\(956\) | 1.53140 | − | 6.76415i | 0.0495290 | − | 0.218768i | ||||
\(957\) | 8.52182 | + | 3.51005i | 0.275471 | + | 0.113464i | ||||
\(958\) | −33.5473 | − | 13.1324i | −1.08386 | − | 0.424289i | ||||
\(959\) | 14.7332 | − | 2.03110i | 0.475758 | − | 0.0655877i | ||||
\(960\) | −8.50688 | + | 14.3522i | −0.274558 | + | 0.463214i | ||||
\(961\) | 14.3705 | + | 24.8904i | 0.463563 | + | 0.802915i | ||||
\(962\) | −22.7718 | − | 8.91423i | −0.734191 | − | 0.287406i | ||||
\(963\) | −23.2018 | − | 6.11831i | −0.747668 | − | 0.197160i | ||||
\(964\) | −0.279199 | − | 0.258149i | −0.00899239 | − | 0.00831442i | ||||
\(965\) | −19.4464 | − | 11.2274i | −0.626003 | − | 0.361423i | ||||
\(966\) | −5.74555 | + | 55.4533i | −0.184860 | + | 1.78418i | ||||
\(967\) | −26.0960 | − | 45.1996i | −0.839190 | − | 1.45352i | −0.890573 | − | 0.454841i | \(-0.849696\pi\) |
0.0513827 | − | 0.998679i | \(-0.483637\pi\) | |||||||
\(968\) | −1.82821 | − | 3.77090i | −0.0587607 | − | 0.121201i | ||||
\(969\) | 34.6361 | − | 4.62988i | 1.11267 | − | 0.148733i | ||||
\(970\) | 7.05506 | + | 8.83086i | 0.226524 | + | 0.283542i | ||||
\(971\) | −21.0064 | − | 12.1281i | −0.674129 | − | 0.389208i | 0.123511 | − | 0.992343i | \(-0.460585\pi\) |
−0.797639 | + | 0.603135i | \(0.793918\pi\) | |||||||
\(972\) | 2.54813 | − | 31.0726i | 0.0817314 | − | 0.996654i | ||||
\(973\) | −4.12749 | + | 3.20730i | −0.132321 | + | 0.102821i | ||||
\(974\) | −7.07961 | − | 46.6923i | −0.226845 | − | 1.49612i | ||||
\(975\) | −18.6606 | − | 24.2192i | −0.597616 | − | 0.775636i | ||||
\(976\) | −24.0030 | − | 34.9421i | −0.768319 | − | 1.11847i | ||||
\(977\) | 3.86602 | − | 6.69615i | 0.123685 | − | 0.214229i | −0.797533 | − | 0.603275i | \(-0.793862\pi\) |
0.921218 | + | 0.389046i | \(0.127195\pi\) | |||||||
\(978\) | −19.0580 | + | 19.8981i | −0.609408 | + | 0.636271i | ||||
\(979\) | −37.7103 | − | 21.7720i | −1.20523 | − | 0.695837i | ||||
\(980\) | −7.66804 | + | 15.0117i | −0.244946 | + | 0.479532i | ||||
\(981\) | 17.1157 | − | 17.2521i | 0.546461 | − | 0.550816i | ||||
\(982\) | 6.62271 | − | 1.00415i | 0.211339 | − | 0.0320438i | ||||
\(983\) | 24.2014 | 0.771904 | 0.385952 | − | 0.922519i | \(-0.373873\pi\) | ||||
0.385952 | + | 0.922519i | \(0.373873\pi\) | |||||||
\(984\) | −33.7846 | − | 16.8600i | −1.07701 | − | 0.537479i | ||||
\(985\) | 2.71848 | 0.0866179 | ||||||||
\(986\) | 3.51518 | − | 8.97969i | 0.111946 | − | 0.285971i | ||||
\(987\) | −3.98481 | + | 4.04974i | −0.126838 | + | 0.128905i | ||||
\(988\) | 37.2592 | + | 34.4501i | 1.18537 | + | 1.09600i | ||||
\(989\) | −72.6564 | − | 41.9482i | −2.31034 | − | 1.33388i | ||||
\(990\) | −15.6695 | − | 1.68867i | −0.498010 | − | 0.0536695i | ||||
\(991\) | 11.1542 | + | 19.3197i | 0.354326 | + | 0.613710i | 0.987002 | − | 0.160706i | \(-0.0513771\pi\) |
−0.632677 | + | 0.774416i | \(0.718044\pi\) | |||||||
\(992\) | 5.81038 | + | 6.20730i | 0.184480 | + | 0.197082i | ||||
\(993\) | −36.8289 | − | 47.7996i | −1.16873 | − | 1.51687i | ||||
\(994\) | 33.2381 | + | 7.99759i | 1.05425 | + | 0.253668i | ||||
\(995\) | −5.04584 | + | 2.91322i | −0.159964 | + | 0.0923552i | ||||
\(996\) | −6.06946 | + | 2.81182i | −0.192318 | + | 0.0890960i | ||||
\(997\) | 17.6236i | 0.558145i | 0.960270 | + | 0.279073i | \(0.0900270\pi\) | ||||
−0.960270 | + | 0.279073i | \(0.909973\pi\) | |||||||
\(998\) | 9.87597 | − | 25.2286i | 0.312618 | − | 0.798597i | ||||
\(999\) | −2.25205 | + | 17.9303i | −0.0712516 | + | 0.567291i |
(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 | 504.2.w.a.205.11 | ✓ | 184 | |
7.4 | even | 3 | 504.2.cq.a.277.71 | yes | 184 | ||
8.5 | even | 2 | inner | 504.2.w.a.205.52 | yes | 184 | |
9.4 | even | 3 | 504.2.cq.a.373.71 | yes | 184 | ||
56.53 | even | 6 | 504.2.cq.a.277.72 | yes | 184 | ||
63.4 | even | 3 | inner | 504.2.w.a.445.52 | yes | 184 | |
72.13 | even | 6 | 504.2.cq.a.373.72 | yes | 184 | ||
504.445 | even | 6 | inner | 504.2.w.a.445.11 | yes | 184 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
504.2.w.a.205.11 | ✓ | 184 | 1.1 | even | 1 | trivial | |
504.2.w.a.205.52 | yes | 184 | 8.5 | even | 2 | inner | |
504.2.w.a.445.11 | yes | 184 | 504.445 | even | 6 | inner | |
504.2.w.a.445.52 | yes | 184 | 63.4 | even | 3 | inner | |
504.2.cq.a.277.71 | yes | 184 | 7.4 | even | 3 | ||
504.2.cq.a.277.72 | yes | 184 | 56.53 | even | 6 | ||
504.2.cq.a.373.71 | yes | 184 | 9.4 | even | 3 | ||
504.2.cq.a.373.72 | yes | 184 | 72.13 | even | 6 |