Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [483,2,Mod(34,483)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(483, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 11, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("483.34");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 483 = 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 483.r (of order \(22\), degree \(10\), 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: | \(3.85677441763\) |
Analytic rank: | \(0\) |
Dimension: | \(320\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 34.8 | ||
Character | \(\chi\) | \(=\) | 483.34 |
Dual form | 483.2.r.a.412.8 |
$q$-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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{9}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.33182 | + | 0.855909i | −0.941739 | + | 0.605219i | −0.918887 | − | 0.394520i | \(-0.870911\pi\) |
−0.0228516 | + | 0.999739i | \(0.507275\pi\) | |||||||
\(3\) | 0.989821 | + | 0.142315i | 0.571474 | + | 0.0821655i | ||||
\(4\) | 0.210335 | − | 0.460569i | 0.105167 | − | 0.230285i | ||||
\(5\) | 4.17306 | − | 1.22532i | 1.86625 | − | 0.547981i | 0.867532 | − | 0.497381i | \(-0.165705\pi\) |
0.998719 | − | 0.0505996i | \(-0.0161132\pi\) | |||||||
\(6\) | −1.44007 | + | 0.657659i | −0.587907 | + | 0.268488i | ||||
\(7\) | −2.59192 | + | 0.530984i | −0.979654 | + | 0.200693i | ||||
\(8\) | −0.336531 | − | 2.34062i | −0.118982 | − | 0.827536i | ||||
\(9\) | 0.959493 | + | 0.281733i | 0.319831 | + | 0.0939109i | ||||
\(10\) | −4.50901 | + | 5.20367i | −1.42587 | + | 1.64555i | ||||
\(11\) | −3.50024 | + | 5.44647i | −1.05536 | + | 1.64217i | −0.344585 | + | 0.938755i | \(0.611980\pi\) |
−0.710776 | + | 0.703419i | \(0.751656\pi\) | |||||||
\(12\) | 0.273740 | − | 0.425947i | 0.0790219 | − | 0.122960i | ||||
\(13\) | 2.11393 | + | 1.83173i | 0.586299 | + | 0.508031i | 0.896738 | − | 0.442563i | \(-0.145931\pi\) |
−0.310439 | + | 0.950593i | \(0.600476\pi\) | |||||||
\(14\) | 2.99750 | − | 2.92562i | 0.801115 | − | 0.781906i | ||||
\(15\) | 4.30497 | − | 0.618961i | 1.11154 | − | 0.159815i | ||||
\(16\) | 3.11470 | + | 3.59456i | 0.778676 | + | 0.898640i | ||||
\(17\) | 1.32826 | + | 2.90849i | 0.322152 | + | 0.705414i | 0.999544 | − | 0.0302087i | \(-0.00961718\pi\) |
−0.677392 | + | 0.735622i | \(0.736890\pi\) | |||||||
\(18\) | −1.51901 | + | 0.446021i | −0.358034 | + | 0.105128i | ||||
\(19\) | 1.41547 | − | 3.09945i | 0.324731 | − | 0.711062i | −0.674909 | − | 0.737901i | \(-0.735817\pi\) |
0.999640 | + | 0.0268395i | \(0.00854430\pi\) | |||||||
\(20\) | 0.313395 | − | 2.17971i | 0.0700773 | − | 0.487399i | ||||
\(21\) | −2.64111 | + | 0.156711i | −0.576337 | + | 0.0341971i | ||||
\(22\) | − | 10.2496i | − | 2.18522i | ||||||
\(23\) | 3.53817 | + | 3.23750i | 0.737758 | + | 0.675065i | ||||
\(24\) | − | 2.36469i | − | 0.482691i | ||||||
\(25\) | 11.7068 | − | 7.52349i | 2.34136 | − | 1.50470i | ||||
\(26\) | −4.38317 | − | 0.630205i | −0.859610 | − | 0.123593i | ||||
\(27\) | 0.909632 | + | 0.415415i | 0.175059 | + | 0.0799467i | ||||
\(28\) | −0.300616 | + | 1.30544i | −0.0568112 | + | 0.246706i | ||||
\(29\) | −0.356601 | − | 0.780848i | −0.0662192 | − | 0.145000i | 0.873629 | − | 0.486593i | \(-0.161761\pi\) |
−0.939848 | + | 0.341594i | \(0.889033\pi\) | |||||||
\(30\) | −5.20367 | + | 4.50901i | −0.950056 | + | 0.823228i | ||||
\(31\) | 1.03495 | − | 0.148803i | 0.185882 | − | 0.0267258i | −0.0487450 | − | 0.998811i | \(-0.515522\pi\) |
0.234627 | + | 0.972085i | \(0.424613\pi\) | |||||||
\(32\) | −2.68703 | − | 0.788982i | −0.475004 | − | 0.139474i | ||||
\(33\) | −4.23972 | + | 4.89290i | −0.738041 | + | 0.851745i | ||||
\(34\) | −4.25842 | − | 2.73672i | −0.730312 | − | 0.469343i | ||||
\(35\) | −10.1656 | + | 5.39177i | −1.71830 | + | 0.911376i | ||||
\(36\) | 0.331572 | − | 0.382655i | 0.0552620 | − | 0.0637758i | ||||
\(37\) | −0.117697 | + | 0.400840i | −0.0193493 | + | 0.0658977i | −0.968602 | − | 0.248618i | \(-0.920024\pi\) |
0.949252 | + | 0.314515i | \(0.101842\pi\) | |||||||
\(38\) | 0.767692 | + | 5.33942i | 0.124536 | + | 0.866168i | ||||
\(39\) | 1.83173 | + | 2.11393i | 0.293312 | + | 0.338500i | ||||
\(40\) | −4.27238 | − | 9.35522i | −0.675523 | − | 1.47919i | ||||
\(41\) | 1.55178 | + | 5.28489i | 0.242348 | + | 0.825362i | 0.987385 | + | 0.158338i | \(0.0506137\pi\) |
−0.745037 | + | 0.667023i | \(0.767568\pi\) | |||||||
\(42\) | 3.38335 | − | 2.46926i | 0.522062 | − | 0.381015i | ||||
\(43\) | 5.78126 | + | 0.831220i | 0.881634 | + | 0.126760i | 0.568239 | − | 0.822863i | \(-0.307625\pi\) |
0.313394 | + | 0.949623i | \(0.398534\pi\) | |||||||
\(44\) | 1.77226 | + | 2.75768i | 0.267178 | + | 0.415737i | ||||
\(45\) | 4.34924 | 0.648346 | ||||||||
\(46\) | −7.48320 | − | 1.28342i | −1.10334 | − | 0.189230i | ||||
\(47\) | 0.395155i | 0.0576393i | 0.999585 | + | 0.0288197i | \(0.00917485\pi\) | ||||
−0.999585 | + | 0.0288197i | \(0.990825\pi\) | |||||||
\(48\) | 2.57144 | + | 4.00124i | 0.371156 | + | 0.577529i | ||||
\(49\) | 6.43611 | − | 2.75254i | 0.919444 | − | 0.393220i | ||||
\(50\) | −9.15191 | + | 20.0399i | −1.29427 | + | 2.83407i | ||||
\(51\) | 0.900823 | + | 3.06792i | 0.126140 | + | 0.429595i | ||||
\(52\) | 1.28827 | − | 0.588334i | 0.178651 | − | 0.0815872i | ||||
\(53\) | −1.42105 | + | 1.23135i | −0.195196 | + | 0.169138i | −0.746975 | − | 0.664852i | \(-0.768495\pi\) |
0.551779 | + | 0.833990i | \(0.313949\pi\) | |||||||
\(54\) | −1.56702 | + | 0.225304i | −0.213245 | + | 0.0306600i | ||||
\(55\) | −7.93303 | + | 27.0174i | −1.06969 | + | 3.64303i | ||||
\(56\) | 2.11510 | + | 5.88802i | 0.282642 | + | 0.786820i | ||||
\(57\) | 1.84216 | − | 2.86646i | 0.244000 | − | 0.379671i | ||||
\(58\) | 1.14326 | + | 0.734730i | 0.150118 | + | 0.0964748i | ||||
\(59\) | −3.12292 | − | 2.70603i | −0.406570 | − | 0.352295i | 0.427440 | − | 0.904044i | \(-0.359415\pi\) |
−0.834011 | + | 0.551749i | \(0.813961\pi\) | |||||||
\(60\) | 0.620411 | − | 2.11293i | 0.0800947 | − | 0.272777i | ||||
\(61\) | −1.75024 | − | 12.1732i | −0.224095 | − | 1.55861i | −0.722315 | − | 0.691564i | \(-0.756922\pi\) |
0.498220 | − | 0.867050i | \(-0.333987\pi\) | |||||||
\(62\) | −1.25100 | + | 1.08400i | −0.158878 | + | 0.137668i | ||||
\(63\) | −2.63653 | − | 0.220753i | −0.332171 | − | 0.0278122i | ||||
\(64\) | −4.87331 | + | 1.43093i | −0.609164 | + | 0.178867i | ||||
\(65\) | 11.0660 | + | 5.05369i | 1.37257 | + | 0.626833i | ||||
\(66\) | 1.45867 | − | 10.1453i | 0.179550 | − | 1.24880i | ||||
\(67\) | −3.36055 | − | 5.22911i | −0.410556 | − | 0.638838i | 0.572976 | − | 0.819572i | \(-0.305789\pi\) |
−0.983532 | + | 0.180734i | \(0.942153\pi\) | |||||||
\(68\) | 1.61894 | 0.196326 | ||||||||
\(69\) | 3.04141 | + | 3.70808i | 0.366142 | + | 0.446400i | ||||
\(70\) | 8.92392 | − | 15.8817i | 1.06661 | − | 1.89823i | ||||
\(71\) | −4.63663 | + | 2.97978i | −0.550267 | + | 0.353635i | −0.786042 | − | 0.618173i | \(-0.787873\pi\) |
0.235776 | + | 0.971807i | \(0.424237\pi\) | |||||||
\(72\) | 0.336531 | − | 2.34062i | 0.0396606 | − | 0.275845i | ||||
\(73\) | −7.75564 | − | 3.54188i | −0.907729 | − | 0.414546i | −0.0938541 | − | 0.995586i | \(-0.529919\pi\) |
−0.813875 | + | 0.581040i | \(0.802646\pi\) | |||||||
\(74\) | −0.186331 | − | 0.634585i | −0.0216605 | − | 0.0737690i | ||||
\(75\) | 12.6583 | − | 5.78087i | 1.46166 | − | 0.667517i | ||||
\(76\) | −1.12979 | − | 1.30384i | −0.129595 | − | 0.149561i | ||||
\(77\) | 6.18034 | − | 15.9754i | 0.704316 | − | 1.82057i | ||||
\(78\) | −4.24887 | − | 1.24758i | −0.481089 | − | 0.141261i | ||||
\(79\) | −10.8904 | − | 9.43656i | −1.22526 | − | 1.06170i | −0.996093 | − | 0.0883098i | \(-0.971853\pi\) |
−0.229170 | − | 0.973386i | \(-0.573601\pi\) | |||||||
\(80\) | 17.4024 | + | 11.1838i | 1.94564 | + | 1.25039i | ||||
\(81\) | 0.841254 | + | 0.540641i | 0.0934726 | + | 0.0600712i | ||||
\(82\) | −6.59008 | − | 5.71034i | −0.727753 | − | 0.630602i | ||||
\(83\) | −13.0549 | − | 3.83325i | −1.43296 | − | 0.420754i | −0.529089 | − | 0.848566i | \(-0.677466\pi\) |
−0.903868 | + | 0.427812i | \(0.859285\pi\) | |||||||
\(84\) | −0.483340 | + | 1.24937i | −0.0527368 | + | 0.136318i | ||||
\(85\) | 9.10678 | + | 10.5098i | 0.987769 | + | 1.13995i | ||||
\(86\) | −8.41105 | + | 3.84120i | −0.906987 | + | 0.414207i | ||||
\(87\) | −0.241845 | − | 0.823649i | −0.0259285 | − | 0.0883045i | ||||
\(88\) | 13.9261 | + | 6.35983i | 1.48453 | + | 0.677960i | ||||
\(89\) | −0.0377817 | + | 0.262778i | −0.00400486 | + | 0.0278544i | −0.991726 | − | 0.128374i | \(-0.959024\pi\) |
0.987721 | + | 0.156228i | \(0.0499334\pi\) | |||||||
\(90\) | −5.79240 | + | 3.72255i | −0.610573 | + | 0.392391i | ||||
\(91\) | −6.45176 | − | 3.62524i | −0.676328 | − | 0.380028i | ||||
\(92\) | 2.23529 | − | 0.948611i | 0.233045 | − | 0.0988995i | ||||
\(93\) | 1.04559 | 0.108423 | ||||||||
\(94\) | −0.338217 | − | 0.526276i | −0.0348844 | − | 0.0542812i | ||||
\(95\) | 2.10903 | − | 14.6686i | 0.216381 | − | 1.50497i | ||||
\(96\) | −2.54739 | − | 1.16336i | −0.259992 | − | 0.118734i | ||||
\(97\) | 8.56990 | − | 2.51635i | 0.870142 | − | 0.255497i | 0.183966 | − | 0.982933i | \(-0.441106\pi\) |
0.686176 | + | 0.727436i | \(0.259288\pi\) | |||||||
\(98\) | −6.21582 | + | 9.17461i | −0.627893 | + | 0.926776i | ||||
\(99\) | −4.89290 | + | 4.23972i | −0.491755 | + | 0.426108i | ||||
\(100\) | −1.00274 | − | 6.97424i | −0.100274 | − | 0.697424i | ||||
\(101\) | 0.360852 | − | 1.22895i | 0.0359061 | − | 0.122285i | −0.939590 | − | 0.342302i | \(-0.888793\pi\) |
0.975496 | + | 0.220017i | \(0.0706114\pi\) | |||||||
\(102\) | −3.82560 | − | 3.31490i | −0.378790 | − | 0.328224i | ||||
\(103\) | 9.86187 | + | 6.33784i | 0.971719 | + | 0.624486i | 0.927217 | − | 0.374524i | \(-0.122194\pi\) |
0.0445013 | + | 0.999009i | \(0.485830\pi\) | |||||||
\(104\) | 3.57599 | − | 5.56435i | 0.350655 | − | 0.545629i | ||||
\(105\) | −10.8295 | + | 3.89017i | −1.05685 | + | 0.379642i | ||||
\(106\) | 0.838661 | − | 2.85622i | 0.0814580 | − | 0.277420i | ||||
\(107\) | −4.53829 | + | 0.652508i | −0.438733 | + | 0.0630803i | −0.358142 | − | 0.933667i | \(-0.616590\pi\) |
−0.0805907 | + | 0.996747i | \(0.525681\pi\) | |||||||
\(108\) | 0.382655 | − | 0.331572i | 0.0368210 | − | 0.0319055i | ||||
\(109\) | −12.9396 | + | 5.90933i | −1.23939 | + | 0.566012i | −0.923797 | − | 0.382882i | \(-0.874931\pi\) |
−0.315595 | + | 0.948894i | \(0.602204\pi\) | |||||||
\(110\) | −12.5591 | − | 42.7723i | −1.19746 | − | 4.07818i | ||||
\(111\) | −0.173545 | + | 0.380010i | −0.0164721 | + | 0.0360689i | ||||
\(112\) | −9.98172 | − | 7.66296i | −0.943184 | − | 0.724081i | ||||
\(113\) | 0.585494 | + | 0.911047i | 0.0550787 | + | 0.0857041i | 0.867701 | − | 0.497087i | \(-0.165597\pi\) |
−0.812622 | + | 0.582791i | \(0.801961\pi\) | |||||||
\(114\) | 5.39432i | 0.505225i | ||||||||
\(115\) | 18.7320 | + | 9.17489i | 1.74677 | + | 0.855563i | ||||
\(116\) | −0.434640 | −0.0403553 | ||||||||
\(117\) | 1.51224 | + | 2.35310i | 0.139807 | + | 0.217544i | ||||
\(118\) | 6.47529 | + | 0.931006i | 0.596099 | + | 0.0857060i | ||||
\(119\) | −4.98712 | − | 6.83330i | −0.457169 | − | 0.626408i | ||||
\(120\) | −2.89751 | − | 9.86802i | −0.264505 | − | 0.900823i | ||||
\(121\) | −12.8429 | − | 28.1219i | −1.16753 | − | 2.55654i | ||||
\(122\) | 12.7501 | + | 14.7144i | 1.15434 | + | 1.33218i | ||||
\(123\) | 0.783871 | + | 5.45194i | 0.0706793 | + | 0.491585i | ||||
\(124\) | 0.149152 | − | 0.507964i | 0.0133942 | − | 0.0456165i | ||||
\(125\) | 25.3937 | − | 29.3059i | 2.27128 | − | 2.62120i | ||||
\(126\) | 3.70032 | − | 1.96262i | 0.329651 | − | 0.174844i | ||||
\(127\) | 4.61254 | + | 2.96430i | 0.409297 | + | 0.263039i | 0.729048 | − | 0.684462i | \(-0.239963\pi\) |
−0.319751 | + | 0.947501i | \(0.603599\pi\) | |||||||
\(128\) | 8.93345 | − | 10.3098i | 0.789613 | − | 0.911262i | ||||
\(129\) | 5.60412 | + | 1.64552i | 0.493415 | + | 0.144880i | ||||
\(130\) | −19.0635 | + | 2.74091i | −1.67198 | + | 0.240394i | ||||
\(131\) | 14.0674 | − | 12.1895i | 1.22908 | − | 1.06500i | 0.233375 | − | 0.972387i | \(-0.425023\pi\) |
0.995702 | − | 0.0926144i | \(-0.0295224\pi\) | |||||||
\(132\) | 1.36176 | + | 2.98183i | 0.118526 | + | 0.259535i | ||||
\(133\) | −2.02303 | + | 8.78511i | −0.175419 | + | 0.761766i | ||||
\(134\) | 8.95129 | + | 4.08792i | 0.773274 | + | 0.353142i | ||||
\(135\) | 4.30497 | + | 0.618961i | 0.370513 | + | 0.0532717i | ||||
\(136\) | 6.36069 | − | 4.08777i | 0.545425 | − | 0.350523i | ||||
\(137\) | − | 4.65351i | − | 0.397576i | −0.980042 | − | 0.198788i | \(-0.936299\pi\) | ||
0.980042 | − | 0.198788i | \(-0.0637006\pi\) | |||||||
\(138\) | −7.22438 | − | 2.33532i | −0.614980 | − | 0.198796i | ||||
\(139\) | − | 3.33641i | − | 0.282990i | −0.989939 | − | 0.141495i | \(-0.954809\pi\) | ||
0.989939 | − | 0.141495i | \(-0.0451910\pi\) | |||||||
\(140\) | 0.345097 | + | 5.81605i | 0.0291660 | + | 0.491546i | ||||
\(141\) | −0.0562365 | + | 0.391133i | −0.00473597 | + | 0.0329394i | ||||
\(142\) | 3.62473 | − | 7.93706i | 0.304181 | − | 0.666063i | ||||
\(143\) | −17.3757 | + | 5.10197i | −1.45303 | + | 0.426649i | ||||
\(144\) | 1.97583 | + | 4.32647i | 0.164653 | + | 0.360539i | ||||
\(145\) | −2.44491 | − | 2.82158i | −0.203039 | − | 0.234319i | ||||
\(146\) | 13.3606 | − | 1.92097i | 1.10574 | − | 0.158981i | ||||
\(147\) | 6.76233 | − | 1.80857i | 0.557747 | − | 0.149168i | ||||
\(148\) | 0.159859 | + | 0.138518i | 0.0131403 | + | 0.0113861i | ||||
\(149\) | 1.71328 | − | 2.66591i | 0.140357 | − | 0.218400i | −0.763957 | − | 0.645267i | \(-0.776746\pi\) |
0.904315 | + | 0.426867i | \(0.140383\pi\) | |||||||
\(150\) | −11.9107 | + | 18.5334i | −0.972507 | + | 1.51325i | ||||
\(151\) | 0.812563 | − | 0.937747i | 0.0661254 | − | 0.0763128i | −0.721723 | − | 0.692182i | \(-0.756650\pi\) |
0.787848 | + | 0.615869i | \(0.211195\pi\) | |||||||
\(152\) | −7.73099 | − | 2.27002i | −0.627066 | − | 0.184123i | ||||
\(153\) | 0.455043 | + | 3.16490i | 0.0367881 | + | 0.255867i | ||||
\(154\) | 5.44238 | + | 26.5662i | 0.438560 | + | 2.14076i | ||||
\(155\) | 4.13657 | − | 1.88911i | 0.332258 | − | 0.151737i | ||||
\(156\) | 1.35889 | − | 0.399005i | 0.108798 | − | 0.0319460i | ||||
\(157\) | −1.45781 | + | 3.19215i | −0.116346 | + | 0.254761i | −0.958842 | − | 0.283941i | \(-0.908358\pi\) |
0.842496 | + | 0.538702i | \(0.181085\pi\) | |||||||
\(158\) | 22.5809 | + | 3.24664i | 1.79644 | + | 0.258289i | ||||
\(159\) | −1.58182 | + | 1.01658i | −0.125447 | + | 0.0806197i | ||||
\(160\) | −12.1799 | −0.962905 | ||||||||
\(161\) | −10.8897 | − | 6.51263i | −0.858229 | − | 0.513267i | ||||
\(162\) | −1.58314 | −0.124383 | ||||||||
\(163\) | −0.610728 | + | 0.392491i | −0.0478359 | + | 0.0307423i | −0.564340 | − | 0.825542i | \(-0.690869\pi\) |
0.516504 | + | 0.856285i | \(0.327233\pi\) | |||||||
\(164\) | 2.76045 | + | 0.396893i | 0.215555 | + | 0.0309921i | ||||
\(165\) | −11.6973 | + | 25.6134i | −0.910630 | + | 1.99400i | ||||
\(166\) | 20.6676 | − | 6.06857i | 1.60412 | − | 0.471012i | ||||
\(167\) | −16.1645 | + | 7.38210i | −1.25085 | + | 0.571244i | −0.927070 | − | 0.374888i | \(-0.877681\pi\) |
−0.323780 | + | 0.946132i | \(0.604954\pi\) | |||||||
\(168\) | 1.25562 | + | 6.12910i | 0.0968728 | + | 0.472870i | ||||
\(169\) | −0.736630 | − | 5.12338i | −0.0566639 | − | 0.394106i | ||||
\(170\) | −21.1240 | − | 6.20257i | −1.62014 | − | 0.475715i | ||||
\(171\) | 2.23135 | − | 2.57511i | 0.170635 | − | 0.196924i | ||||
\(172\) | 1.59883 | − | 2.48784i | 0.121910 | − | 0.189696i | ||||
\(173\) | −8.04046 | + | 12.5112i | −0.611305 | + | 0.951209i | 0.388255 | + | 0.921552i | \(0.373078\pi\) |
−0.999560 | + | 0.0296574i | \(0.990558\pi\) | |||||||
\(174\) | 1.02706 | + | 0.889955i | 0.0778615 | + | 0.0674673i | ||||
\(175\) | −26.3482 | + | 25.7164i | −1.99174 | + | 1.94398i | ||||
\(176\) | −30.4799 | + | 4.38234i | −2.29751 | + | 0.330332i | ||||
\(177\) | −2.70603 | − | 3.12292i | −0.203398 | − | 0.234733i | ||||
\(178\) | −0.174595 | − | 0.382310i | −0.0130865 | − | 0.0286554i | ||||
\(179\) | 14.7065 | − | 4.31821i | 1.09921 | − | 0.322758i | 0.318674 | − | 0.947864i | \(-0.396762\pi\) |
0.780540 | + | 0.625106i | \(0.214944\pi\) | |||||||
\(180\) | 0.914797 | − | 2.00313i | 0.0681849 | − | 0.149304i | ||||
\(181\) | −0.513903 | + | 3.57427i | −0.0381981 | + | 0.265673i | −0.999966 | − | 0.00819071i | \(-0.997393\pi\) |
0.961768 | + | 0.273864i | \(0.0883019\pi\) | |||||||
\(182\) | 11.6955 | − | 0.693954i | 0.866925 | − | 0.0514393i | ||||
\(183\) | − | 12.2983i | − | 0.909120i | ||||||
\(184\) | 6.38706 | − | 9.37103i | 0.470861 | − | 0.690842i | ||||
\(185\) | 1.81695i | 0.133585i | ||||||||
\(186\) | −1.39254 | + | 0.894930i | −0.102106 | + | 0.0656195i | ||||
\(187\) | −20.4903 | − | 2.94606i | −1.49840 | − | 0.215437i | ||||
\(188\) | 0.181996 | + | 0.0831149i | 0.0132734 | + | 0.00606178i | ||||
\(189\) | −2.57827 | − | 0.593723i | −0.187542 | − | 0.0431870i | ||||
\(190\) | 9.74614 | + | 21.3411i | 0.707059 | + | 1.54824i | ||||
\(191\) | 7.37112 | − | 6.38711i | 0.533356 | − | 0.462155i | −0.346058 | − | 0.938213i | \(-0.612480\pi\) |
0.879414 | + | 0.476058i | \(0.157935\pi\) | |||||||
\(192\) | −5.02735 | + | 0.722824i | −0.362818 | + | 0.0521653i | ||||
\(193\) | 9.59490 | + | 2.81732i | 0.690656 | + | 0.202795i | 0.608181 | − | 0.793798i | \(-0.291899\pi\) |
0.0824749 | + | 0.996593i | \(0.473718\pi\) | |||||||
\(194\) | −9.25980 | + | 10.6864i | −0.664815 | + | 0.767238i | ||||
\(195\) | 10.2342 | + | 6.57711i | 0.732885 | + | 0.470996i | ||||
\(196\) | 0.0860040 | − | 3.54323i | 0.00614314 | − | 0.253088i | ||||
\(197\) | −0.172731 | + | 0.199342i | −0.0123066 | + | 0.0142026i | −0.761870 | − | 0.647731i | \(-0.775718\pi\) |
0.749563 | + | 0.661933i | \(0.230264\pi\) | |||||||
\(198\) | 2.88765 | − | 9.83443i | 0.205216 | − | 0.698902i | ||||
\(199\) | −1.15318 | − | 8.02055i | −0.0817469 | − | 0.568562i | −0.988993 | − | 0.147962i | \(-0.952729\pi\) |
0.907246 | − | 0.420600i | \(-0.138180\pi\) | |||||||
\(200\) | −21.5494 | − | 24.8693i | −1.52377 | − | 1.75852i | ||||
\(201\) | −2.58216 | − | 5.65414i | −0.182132 | − | 0.398813i | ||||
\(202\) | 0.571278 | + | 1.94560i | 0.0401950 | + | 0.136892i | ||||
\(203\) | 1.33890 | + | 1.83455i | 0.0939724 | + | 0.128760i | ||||
\(204\) | 1.60246 | + | 0.230400i | 0.112195 | + | 0.0161312i | ||||
\(205\) | 12.9514 | + | 20.1528i | 0.904565 | + | 1.40753i | ||||
\(206\) | −18.5588 | −1.29306 | ||||||||
\(207\) | 2.48274 | + | 4.10317i | 0.172562 | + | 0.285190i | ||||
\(208\) | 13.3039i | 0.922463i | ||||||||
\(209\) | 11.9266 | + | 18.5581i | 0.824978 | + | 1.28369i | ||||
\(210\) | 11.0933 | − | 14.4501i | 0.765510 | − | 0.997149i | ||||
\(211\) | 7.28708 | − | 15.9565i | 0.501663 | − | 1.09849i | −0.474262 | − | 0.880384i | \(-0.657285\pi\) |
0.975925 | − | 0.218106i | \(-0.0699877\pi\) | |||||||
\(212\) | 0.268224 | + | 0.913486i | 0.0184217 | + | 0.0627385i | ||||
\(213\) | −5.01350 | + | 2.28959i | −0.343519 | + | 0.156880i | ||||
\(214\) | 5.48570 | − | 4.75339i | 0.374995 | − | 0.324935i | ||||
\(215\) | 25.1441 | − | 3.61517i | 1.71481 | − | 0.246553i | ||||
\(216\) | 0.666211 | − | 2.26891i | 0.0453299 | − | 0.154380i | ||||
\(217\) | −2.60349 | + | 0.935227i | −0.176737 | + | 0.0634874i | ||||
\(218\) | 12.1754 | − | 18.9453i | 0.824623 | − | 1.28314i | ||||
\(219\) | −7.17264 | − | 4.60957i | −0.484682 | − | 0.311486i | ||||
\(220\) | 10.7748 | + | 9.33641i | 0.726436 | + | 0.629461i | ||||
\(221\) | −2.51972 | + | 8.58138i | −0.169495 | + | 0.577246i | ||||
\(222\) | −0.0941235 | − | 0.654643i | −0.00631715 | − | 0.0439368i | ||||
\(223\) | 7.86425 | − | 6.81441i | 0.526629 | − | 0.456327i | −0.350513 | − | 0.936558i | \(-0.613993\pi\) |
0.877142 | + | 0.480231i | \(0.159447\pi\) | |||||||
\(224\) | 7.38350 | + | 0.618211i | 0.493331 | + | 0.0413059i | ||||
\(225\) | 13.3522 | − | 3.92056i | 0.890146 | − | 0.261370i | ||||
\(226\) | −1.55955 | − | 0.712221i | −0.103739 | − | 0.0473762i | ||||
\(227\) | −3.40271 | + | 23.6664i | −0.225846 | + | 1.57079i | 0.489487 | + | 0.872011i | \(0.337184\pi\) |
−0.715333 | + | 0.698784i | \(0.753725\pi\) | |||||||
\(228\) | −0.932731 | − | 1.45136i | −0.0617716 | − | 0.0961185i | ||||
\(229\) | −1.72356 | −0.113896 | −0.0569479 | − | 0.998377i | \(-0.518137\pi\) | ||||
−0.0569479 | + | 0.998377i | \(0.518137\pi\) | |||||||
\(230\) | −32.8005 | + | 3.81355i | −2.16280 | + | 0.251458i | ||||
\(231\) | 8.39097 | − | 14.9332i | 0.552086 | − | 0.982535i | ||||
\(232\) | −1.70766 | + | 1.09745i | −0.112114 | + | 0.0720510i | ||||
\(233\) | 0.420239 | − | 2.92283i | 0.0275308 | − | 0.191481i | −0.971415 | − | 0.237388i | \(-0.923709\pi\) |
0.998946 | + | 0.0459071i | \(0.0146178\pi\) | |||||||
\(234\) | −4.02807 | − | 1.83956i | −0.263323 | − | 0.120256i | ||||
\(235\) | 0.484193 | + | 1.64901i | 0.0315852 | + | 0.107569i | ||||
\(236\) | −1.90317 | + | 0.869150i | −0.123886 | + | 0.0565769i | ||||
\(237\) | −9.43656 | − | 10.8904i | −0.612971 | − | 0.707406i | ||||
\(238\) | 12.4906 | + | 4.83220i | 0.809647 | + | 0.313225i | ||||
\(239\) | 12.1500 | + | 3.56755i | 0.785917 | + | 0.230766i | 0.649980 | − | 0.759952i | \(-0.274777\pi\) |
0.135937 | + | 0.990718i | \(0.456596\pi\) | |||||||
\(240\) | 15.6336 | + | 13.5466i | 1.00914 | + | 0.874429i | ||||
\(241\) | −14.0586 | − | 9.03494i | −0.905597 | − | 0.581992i | 0.00284827 | − | 0.999996i | \(-0.499093\pi\) |
−0.908445 | + | 0.418004i | \(0.862730\pi\) | |||||||
\(242\) | 41.1742 | + | 26.4610i | 2.64678 | + | 1.70098i | ||||
\(243\) | 0.755750 | + | 0.654861i | 0.0484814 | + | 0.0420093i | ||||
\(244\) | −5.97472 | − | 1.75434i | −0.382492 | − | 0.112310i | ||||
\(245\) | 23.4856 | − | 19.3728i | 1.50044 | − | 1.23768i | ||||
\(246\) | −5.71034 | − | 6.59008i | −0.364078 | − | 0.420168i | ||||
\(247\) | 8.66956 | − | 3.95925i | 0.551631 | − | 0.251921i | ||||
\(248\) | −0.696584 | − | 2.37235i | −0.0442331 | − | 0.150644i | ||||
\(249\) | −12.3765 | − | 5.65214i | −0.784326 | − | 0.358190i | ||||
\(250\) | −8.73668 | + | 60.7649i | −0.552556 | + | 3.84311i | ||||
\(251\) | −3.58738 | + | 2.30547i | −0.226433 | + | 0.145520i | −0.648939 | − | 0.760840i | \(-0.724787\pi\) |
0.422506 | + | 0.906360i | \(0.361151\pi\) | |||||||
\(252\) | −0.656225 | + | 1.16787i | −0.0413383 | + | 0.0735689i | ||||
\(253\) | −30.0174 | + | 7.93852i | −1.88718 | + | 0.499090i | ||||
\(254\) | −8.68024 | −0.544647 | ||||||||
\(255\) | 7.51839 | + | 11.6988i | 0.470820 | + | 0.732610i | ||||
\(256\) | −1.62790 | + | 11.3223i | −0.101743 | + | 0.707641i | ||||
\(257\) | −3.20819 | − | 1.46513i | −0.200121 | − | 0.0913923i | 0.312833 | − | 0.949808i | \(-0.398722\pi\) |
−0.512955 | + | 0.858416i | \(0.671449\pi\) | |||||||
\(258\) | −8.87209 | + | 2.60508i | −0.552352 | + | 0.162185i | ||||
\(259\) | 0.0922222 | − | 1.10144i | 0.00573041 | − | 0.0684402i | ||||
\(260\) | 4.65514 | − | 4.03370i | 0.288700 | − | 0.250160i | ||||
\(261\) | −0.122166 | − | 0.849684i | −0.00756189 | − | 0.0525941i | ||||
\(262\) | −8.30219 | + | 28.2747i | −0.512911 | + | 1.74681i | ||||
\(263\) | −8.30728 | − | 7.19830i | −0.512249 | − | 0.443866i | 0.359983 | − | 0.932959i | \(-0.382783\pi\) |
−0.872232 | + | 0.489093i | \(0.837328\pi\) | |||||||
\(264\) | 12.8792 | + | 8.27699i | 0.792663 | + | 0.509413i | ||||
\(265\) | −4.42133 | + | 6.87973i | −0.271600 | + | 0.422618i | ||||
\(266\) | −4.82495 | − | 13.4317i | −0.295836 | − | 0.823551i | ||||
\(267\) | −0.0747943 | + | 0.254726i | −0.00457734 | + | 0.0155890i | ||||
\(268\) | −3.11521 | + | 0.447899i | −0.190292 | + | 0.0273598i | ||||
\(269\) | −12.4330 | + | 10.7732i | −0.758051 | + | 0.656855i | −0.945575 | − | 0.325405i | \(-0.894499\pi\) |
0.187524 | + | 0.982260i | \(0.439954\pi\) | |||||||
\(270\) | −6.26322 | + | 2.86032i | −0.381167 | + | 0.174073i | ||||
\(271\) | −6.49601 | − | 22.1234i | −0.394604 | − | 1.34390i | −0.882219 | − | 0.470840i | \(-0.843951\pi\) |
0.487614 | − | 0.873059i | \(-0.337867\pi\) | |||||||
\(272\) | −6.31761 | + | 13.8336i | −0.383061 | + | 0.838787i | ||||
\(273\) | −5.87017 | − | 4.50652i | −0.355279 | − | 0.272747i | ||||
\(274\) | 3.98298 | + | 6.19764i | 0.240621 | + | 0.374413i | ||||
\(275\) | 90.0947i | 5.43291i | ||||||||
\(276\) | 2.34754 | − | 0.620840i | 0.141305 | − | 0.0373702i | ||||
\(277\) | −16.3155 | −0.980303 | −0.490151 | − | 0.871637i | \(-0.663058\pi\) | ||||
−0.490151 | + | 0.871637i | \(0.663058\pi\) | |||||||
\(278\) | 2.85566 | + | 4.44349i | 0.171271 | + | 0.266503i | ||||
\(279\) | 1.03495 | + | 0.148803i | 0.0619607 | + | 0.00890861i | ||||
\(280\) | 16.0412 | + | 21.9794i | 0.958643 | + | 1.31352i | ||||
\(281\) | 5.53599 | + | 18.8539i | 0.330250 | + | 1.12473i | 0.942540 | + | 0.334094i | \(0.108430\pi\) |
−0.612290 | + | 0.790633i | \(0.709752\pi\) | |||||||
\(282\) | −0.259878 | − | 0.569052i | −0.0154755 | − | 0.0338866i | ||||
\(283\) | 8.54684 | + | 9.86358i | 0.508057 | + | 0.586329i | 0.950600 | − | 0.310418i | \(-0.100469\pi\) |
−0.442543 | + | 0.896747i | \(0.645924\pi\) | |||||||
\(284\) | 0.397150 | + | 2.76224i | 0.0235665 | + | 0.163909i | ||||
\(285\) | 4.17512 | − | 14.2191i | 0.247313 | − | 0.842269i | ||||
\(286\) | 18.7745 | − | 21.6670i | 1.11016 | − | 1.28119i | ||||
\(287\) | −6.82830 | − | 12.8741i | −0.403062 | − | 0.759931i | ||||
\(288\) | −2.35590 | − | 1.51405i | −0.138823 | − | 0.0892160i | ||||
\(289\) | 4.43758 | − | 5.12124i | 0.261034 | − | 0.301249i | ||||
\(290\) | 5.67119 | + | 1.66521i | 0.333024 | + | 0.0977846i | ||||
\(291\) | 8.84079 | − | 1.27111i | 0.518256 | − | 0.0745140i | ||||
\(292\) | −3.26256 | + | 2.82703i | −0.190927 | + | 0.165439i | ||||
\(293\) | 10.9574 | + | 23.9934i | 0.640139 | + | 1.40171i | 0.899926 | + | 0.436043i | \(0.143620\pi\) |
−0.259787 | + | 0.965666i | \(0.583652\pi\) | |||||||
\(294\) | −7.45823 | + | 8.19662i | −0.434973 | + | 0.478037i | ||||
\(295\) | −16.3479 | − | 7.46585i | −0.951813 | − | 0.434678i | ||||
\(296\) | 0.977824 | + | 0.140590i | 0.0568349 | + | 0.00817162i | ||||
\(297\) | −5.44647 | + | 3.50024i | −0.316036 | + | 0.203104i | ||||
\(298\) | 5.01692i | 0.290623i | ||||||||
\(299\) | 1.54921 | + | 13.3248i | 0.0895931 | + | 0.770594i | ||||
\(300\) | − | 7.04595i | − | 0.406798i | ||||||
\(301\) | −15.4259 | + | 0.915303i | −0.889136 | + | 0.0527572i | ||||
\(302\) | −0.279561 | + | 1.94439i | −0.0160869 | + | 0.111887i | ||||
\(303\) | 0.532077 | − | 1.16509i | 0.0305670 | − | 0.0669324i | ||||
\(304\) | 15.5499 | − | 4.56587i | 0.891849 | − | 0.261870i | ||||
\(305\) | −22.2199 | − | 48.6548i | −1.27231 | − | 2.78597i | ||||
\(306\) | −3.31490 | − | 3.82560i | −0.189500 | − | 0.218695i | ||||
\(307\) | 17.2983 | − | 2.48712i | 0.987268 | − | 0.141948i | 0.370280 | − | 0.928920i | \(-0.379262\pi\) |
0.616988 | + | 0.786973i | \(0.288353\pi\) | |||||||
\(308\) | −6.05783 | − | 6.20666i | −0.345177 | − | 0.353657i | ||||
\(309\) | 8.85952 | + | 7.67682i | 0.504000 | + | 0.436719i | ||||
\(310\) | −3.89227 | + | 6.05648i | −0.221066 | + | 0.343985i | ||||
\(311\) | 12.6261 | − | 19.6466i | 0.715961 | − | 1.11406i | −0.272437 | − | 0.962174i | \(-0.587830\pi\) |
0.988398 | − | 0.151884i | \(-0.0485340\pi\) | |||||||
\(312\) | 4.33148 | − | 4.99880i | 0.245222 | − | 0.283001i | ||||
\(313\) | −2.68097 | − | 0.787205i | −0.151538 | − | 0.0444954i | 0.205084 | − | 0.978744i | \(-0.434253\pi\) |
−0.356622 | + | 0.934249i | \(0.616071\pi\) | |||||||
\(314\) | −0.790654 | − | 5.49912i | −0.0446192 | − | 0.310333i | ||||
\(315\) | −11.2729 | + | 2.30938i | −0.635155 | + | 0.130119i | ||||
\(316\) | −6.63681 | + | 3.03093i | −0.373350 | + | 0.170503i | ||||
\(317\) | −9.88559 | + | 2.90267i | −0.555230 | + | 0.163030i | −0.547297 | − | 0.836938i | \(-0.684343\pi\) |
−0.00793265 | + | 0.999969i | \(0.502525\pi\) | |||||||
\(318\) | 1.23661 | − | 2.70779i | 0.0693455 | − | 0.151845i | ||||
\(319\) | 5.50105 | + | 0.790932i | 0.308000 | + | 0.0442837i | ||||
\(320\) | −18.5833 | + | 11.9427i | −1.03884 | + | 0.667620i | ||||
\(321\) | −4.58496 | −0.255907 | ||||||||
\(322\) | 20.0773 | − | 0.646947i | 1.11887 | − | 0.0360529i | ||||
\(323\) | 10.8948 | 0.606205 | ||||||||
\(324\) | 0.425947 | − | 0.273740i | 0.0236637 | − | 0.0152078i | ||||
\(325\) | 38.5283 | + | 5.53954i | 2.13717 | + | 0.307278i | ||||
\(326\) | 0.477444 | − | 1.04546i | 0.0264432 | − | 0.0579024i | ||||
\(327\) | −13.6489 | + | 4.00768i | −0.754787 | + | 0.221625i | ||||
\(328\) | 11.8477 | − | 5.41068i | 0.654181 | − | 0.298755i | ||||
\(329\) | −0.209821 | − | 1.02421i | −0.0115678 | − | 0.0564666i | ||||
\(330\) | −6.34411 | − | 44.1243i | −0.349232 | − | 2.42896i | ||||
\(331\) | −14.7995 | − | 4.34552i | −0.813454 | − | 0.238852i | −0.151559 | − | 0.988448i | \(-0.548429\pi\) |
−0.661895 | + | 0.749597i | \(0.730247\pi\) | |||||||
\(332\) | −4.51137 | + | 5.20640i | −0.247594 | + | 0.285738i | ||||
\(333\) | −0.225859 | + | 0.351444i | −0.0123770 | + | 0.0192590i | ||||
\(334\) | 15.2099 | − | 23.6670i | 0.832247 | − | 1.29500i | ||||
\(335\) | −20.4311 | − | 17.7037i | −1.11627 | − | 0.967255i | ||||
\(336\) | −8.78957 | − | 9.00551i | −0.479510 | − | 0.491291i | ||||
\(337\) | −14.0694 | + | 2.02287i | −0.766408 | + | 0.110193i | −0.514421 | − | 0.857538i | \(-0.671993\pi\) |
−0.251987 | + | 0.967731i | \(0.581084\pi\) | |||||||
\(338\) | 5.36620 | + | 6.19293i | 0.291883 | + | 0.336851i | ||||
\(339\) | 0.449879 | + | 0.985098i | 0.0244341 | + | 0.0535032i | ||||
\(340\) | 6.75595 | − | 1.98373i | 0.366393 | − | 0.107583i | ||||
\(341\) | −2.81211 | + | 6.15766i | −0.152284 | + | 0.333456i | ||||
\(342\) | −0.767692 | + | 5.33942i | −0.0415120 | + | 0.288723i | ||||
\(343\) | −15.2203 | + | 10.5518i | −0.821821 | + | 0.569746i | ||||
\(344\) | − | 13.8115i | − | 0.744666i | ||||||
\(345\) | 17.2356 | + | 11.7473i | 0.927932 | + | 0.632456i | ||||
\(346\) | − | 23.5446i | − | 1.26576i | ||||||
\(347\) | 23.3115 | − | 14.9814i | 1.25142 | − | 0.804242i | 0.264338 | − | 0.964430i | \(-0.414847\pi\) |
0.987086 | + | 0.160188i | \(0.0512102\pi\) | |||||||
\(348\) | −0.430216 | − | 0.0618557i | −0.0230620 | − | 0.00331581i | ||||
\(349\) | −3.10426 | − | 1.41767i | −0.166167 | − | 0.0758860i | 0.330595 | − | 0.943773i | \(-0.392751\pi\) |
−0.496762 | + | 0.867887i | \(0.665478\pi\) | |||||||
\(350\) | 13.0802 | − | 56.8013i | 0.699164 | − | 3.03616i | ||||
\(351\) | 1.16197 | + | 2.54436i | 0.0620214 | + | 0.135808i | ||||
\(352\) | 13.7024 | − | 11.8732i | 0.730341 | − | 0.632844i | ||||
\(353\) | 26.5951 | − | 3.82380i | 1.41551 | − | 0.203520i | 0.608266 | − | 0.793733i | \(-0.291865\pi\) |
0.807247 | + | 0.590213i | \(0.200956\pi\) | |||||||
\(354\) | 6.27688 | + | 1.84306i | 0.333613 | + | 0.0979575i | ||||
\(355\) | −15.6978 | + | 18.1162i | −0.833151 | + | 0.961507i | ||||
\(356\) | 0.113080 | + | 0.0726724i | 0.00599325 | + | 0.00385163i | ||||
\(357\) | −3.96388 | − | 7.47349i | −0.209791 | − | 0.395539i | ||||
\(358\) | −15.8904 | + | 18.3385i | −0.839833 | + | 0.969219i | ||||
\(359\) | 1.98748 | − | 6.76873i | 0.104895 | − | 0.357240i | −0.890273 | − | 0.455428i | \(-0.849486\pi\) |
0.995168 | + | 0.0981877i | \(0.0313046\pi\) | |||||||
\(360\) | −1.46365 | − | 10.1799i | −0.0771413 | − | 0.536530i | ||||
\(361\) | 4.83934 | + | 5.58490i | 0.254702 | + | 0.293942i | ||||
\(362\) | −2.37482 | − | 5.20014i | −0.124818 | − | 0.273313i | ||||
\(363\) | −8.70997 | − | 29.6634i | −0.457155 | − | 1.55693i | ||||
\(364\) | −3.02670 | + | 2.20897i | −0.158642 | + | 0.115781i | ||||
\(365\) | −36.7047 | − | 5.27734i | −1.92121 | − | 0.276229i | ||||
\(366\) | 10.5263 | + | 16.3792i | 0.550217 | + | 0.856154i | ||||
\(367\) | −9.90430 | −0.517000 | −0.258500 | − | 0.966011i | \(-0.583228\pi\) | ||||
−0.258500 | + | 0.966011i | \(0.583228\pi\) | |||||||
\(368\) | −0.617041 | + | 22.8020i | −0.0321655 | + | 1.18864i | ||||
\(369\) | 5.50801i | 0.286735i | ||||||||
\(370\) | −1.55514 | − | 2.41985i | −0.0808480 | − | 0.125802i | ||||
\(371\) | 3.02942 | − | 3.94610i | 0.157280 | − | 0.204872i | ||||
\(372\) | 0.219924 | − | 0.481567i | 0.0114025 | − | 0.0249681i | ||||
\(373\) | −6.92472 | − | 23.5834i | −0.358548 | − | 1.22110i | −0.919445 | − | 0.393218i | \(-0.871362\pi\) |
0.560897 | − | 0.827886i | \(-0.310456\pi\) | |||||||
\(374\) | 29.8109 | − | 13.6142i | 1.54149 | − | 0.703973i | ||||
\(375\) | 29.3059 | − | 25.3937i | 1.51335 | − | 1.31133i | ||||
\(376\) | 0.924910 | − | 0.132982i | 0.0476986 | − | 0.00685802i | ||||
\(377\) | 0.676473 | − | 2.30385i | 0.0348401 | − | 0.118655i | ||||
\(378\) | 3.94197 | − | 1.41604i | 0.202753 | − | 0.0728330i | ||||
\(379\) | 10.2215 | − | 15.9049i | 0.525042 | − | 0.816981i | −0.472899 | − | 0.881116i | \(-0.656793\pi\) |
0.997941 | + | 0.0641354i | \(0.0204290\pi\) | |||||||
\(380\) | −6.31230 | − | 4.05667i | −0.323814 | − | 0.208103i | ||||
\(381\) | 4.14373 | + | 3.59056i | 0.212290 | + | 0.183950i | ||||
\(382\) | −4.35022 | + | 14.8155i | −0.222577 | + | 0.758027i | ||||
\(383\) | 1.93819 | + | 13.4804i | 0.0990367 | + | 0.688815i | 0.977489 | + | 0.210985i | \(0.0676673\pi\) |
−0.878453 | + | 0.477830i | \(0.841424\pi\) | |||||||
\(384\) | 10.3098 | − | 8.93345i | 0.526117 | − | 0.455883i | ||||
\(385\) | 6.21596 | − | 74.2393i | 0.316795 | − | 3.78358i | ||||
\(386\) | −15.1901 | + | 4.46020i | −0.773153 | + | 0.227018i | ||||
\(387\) | 5.31290 | + | 2.42632i | 0.270070 | + | 0.123337i | ||||
\(388\) | 0.643596 | − | 4.47631i | 0.0326736 | − | 0.227250i | ||||
\(389\) | 2.24367 | + | 3.49122i | 0.113759 | + | 0.177012i | 0.893464 | − | 0.449135i | \(-0.148268\pi\) |
−0.779706 | + | 0.626146i | \(0.784631\pi\) | |||||||
\(390\) | −19.2595 | −0.975242 | ||||||||
\(391\) | −4.71662 | + | 14.5910i | −0.238530 | + | 0.737898i | ||||
\(392\) | −8.60861 | − | 14.1382i | −0.434801 | − | 0.714087i | ||||
\(393\) | 15.6590 | − | 10.0634i | 0.789892 | − | 0.507632i | ||||
\(394\) | 0.0594279 | − | 0.413330i | 0.00299394 | − | 0.0208233i | ||||
\(395\) | −57.0091 | − | 26.0352i | −2.86844 | − | 1.30997i | ||||
\(396\) | 0.923538 | + | 3.14528i | 0.0464095 | + | 0.158056i | ||||
\(397\) | 32.0170 | − | 14.6217i | 1.60689 | − | 0.733841i | 0.608665 | − | 0.793428i | \(-0.291705\pi\) |
0.998223 | + | 0.0595865i | \(0.0189782\pi\) | |||||||
\(398\) | 8.40069 | + | 9.69491i | 0.421089 | + | 0.485962i | ||||
\(399\) | −3.25269 | + | 8.40779i | −0.162838 | + | 0.420916i | ||||
\(400\) | 63.5068 | + | 18.6473i | 3.17534 | + | 0.932364i | ||||
\(401\) | −15.6983 | − | 13.6027i | −0.783936 | − | 0.679285i | 0.167930 | − | 0.985799i | \(-0.446292\pi\) |
−0.951866 | + | 0.306514i | \(0.900837\pi\) | |||||||
\(402\) | 8.27841 | + | 5.32021i | 0.412889 | + | 0.265348i | ||||
\(403\) | 2.46038 | + | 1.58119i | 0.122560 | + | 0.0787645i | ||||
\(404\) | −0.490116 | − | 0.424688i | −0.0243842 | − | 0.0211290i | ||||
\(405\) | 4.17306 | + | 1.22532i | 0.207361 | + | 0.0608868i | ||||
\(406\) | −3.35338 | − | 1.29731i | −0.166425 | − | 0.0643844i | ||||
\(407\) | −1.77120 | − | 2.04407i | −0.0877949 | − | 0.101321i | ||||
\(408\) | 6.87770 | − | 3.14094i | 0.340497 | − | 0.155500i | ||||
\(409\) | 3.41095 | + | 11.6166i | 0.168661 | + | 0.574405i | 0.999831 | + | 0.0183874i | \(0.00585321\pi\) |
−0.831170 | + | 0.556018i | \(0.812329\pi\) | |||||||
\(410\) | −34.4979 | − | 15.7546i | −1.70373 | − | 0.778066i | ||||
\(411\) | 0.662264 | − | 4.60615i | 0.0326671 | − | 0.227204i | ||||
\(412\) | 4.99331 | − | 3.20900i | 0.246003 | − | 0.158096i | ||||
\(413\) | 9.53123 | + | 5.35559i | 0.469001 | + | 0.263531i | ||||
\(414\) | −6.81850 | − | 3.33969i | −0.335111 | − | 0.164137i | ||||
\(415\) | −59.1757 | −2.90482 | ||||||||
\(416\) | −4.23498 | − | 6.58976i | −0.207637 | − | 0.323090i | ||||
\(417\) | 0.474820 | − | 3.30245i | 0.0232520 | − | 0.161721i | ||||
\(418\) | −31.7681 | − | 14.5080i | −1.55383 | − | 0.709610i | ||||
\(419\) | −15.2583 | + | 4.48023i | −0.745415 | + | 0.218874i | −0.632316 | − | 0.774710i | \(-0.717896\pi\) |
−0.113098 | + | 0.993584i | \(0.536078\pi\) | |||||||
\(420\) | −0.486126 | + | 5.80596i | −0.0237205 | + | 0.283302i | ||||
\(421\) | 7.27680 | − | 6.30538i | 0.354649 | − | 0.307305i | −0.459255 | − | 0.888305i | \(-0.651884\pi\) |
0.813904 | + | 0.580999i | \(0.197338\pi\) | |||||||
\(422\) | 3.95221 | + | 27.4882i | 0.192391 | + | 1.33811i | ||||
\(423\) | −0.111328 | + | 0.379149i | −0.00541296 | + | 0.0184348i | ||||
\(424\) | 3.36034 | + | 2.91175i | 0.163193 | + | 0.141407i | ||||
\(425\) | 37.4317 | + | 24.0559i | 1.81571 | + | 1.16688i | ||||
\(426\) | 4.71740 | − | 7.34042i | 0.228559 | − | 0.355645i | ||||
\(427\) | 11.0002 | + | 30.6225i | 0.532339 | + | 1.48193i | ||||
\(428\) | −0.654036 | + | 2.22744i | −0.0316140 | + | 0.107667i | ||||
\(429\) | −17.9250 | + | 2.57722i | −0.865425 | + | 0.124429i | ||||
\(430\) | −30.3931 | + | 26.3358i | −1.46569 | + | 1.27003i | ||||
\(431\) | −22.4233 | + | 10.2404i | −1.08009 | + | 0.493261i | −0.874325 | − | 0.485341i | \(-0.838696\pi\) |
−0.205765 | + | 0.978601i | \(0.565968\pi\) | |||||||
\(432\) | 1.34000 | + | 4.56362i | 0.0644708 | + | 0.219567i | ||||
\(433\) | −5.56393 | + | 12.1833i | −0.267385 | + | 0.585492i | −0.994930 | − | 0.100568i | \(-0.967934\pi\) |
0.727545 | + | 0.686060i | \(0.240661\pi\) | |||||||
\(434\) | 2.66691 | − | 3.47391i | 0.128016 | − | 0.166753i | ||||
\(435\) | −2.01847 | − | 3.14080i | −0.0967783 | − | 0.150590i | ||||
\(436\) | 7.20254i | 0.344939i | ||||||||
\(437\) | 15.0426 | − | 6.38377i | 0.719586 | − | 0.305377i | ||||
\(438\) | 13.4980 | 0.644961 | ||||||||
\(439\) | 13.3891 | + | 20.8338i | 0.639025 | + | 0.994342i | 0.998135 | + | 0.0610467i | \(0.0194439\pi\) |
−0.359110 | + | 0.933295i | \(0.616920\pi\) | |||||||
\(440\) | 65.9073 | + | 9.47604i | 3.14201 | + | 0.451752i | ||||
\(441\) | 6.95088 | − | 0.827780i | 0.330994 | − | 0.0394181i | ||||
\(442\) | −3.98906 | − | 13.5855i | −0.189740 | − | 0.646196i | ||||
\(443\) | 2.73246 | + | 5.98326i | 0.129823 | + | 0.284273i | 0.963370 | − | 0.268176i | \(-0.0864207\pi\) |
−0.833547 | + | 0.552449i | \(0.813693\pi\) | |||||||
\(444\) | 0.138518 | + | 0.159859i | 0.00657379 | + | 0.00758656i | ||||
\(445\) | 0.164322 | + | 1.14288i | 0.00778960 | + | 0.0541779i | ||||
\(446\) | −4.64125 | + | 15.8066i | −0.219770 | + | 0.748466i | ||||
\(447\) | 2.07524 | − | 2.39495i | 0.0981554 | − | 0.113277i | ||||
\(448\) | 11.8714 | − | 6.29652i | 0.560872 | − | 0.297482i | ||||
\(449\) | −21.5728 | − | 13.8640i | −1.01809 | − | 0.654284i | −0.0786118 | − | 0.996905i | \(-0.525049\pi\) |
−0.939473 | + | 0.342622i | \(0.888685\pi\) | |||||||
\(450\) | −14.4271 | + | 16.6497i | −0.680099 | + | 0.784876i | ||||
\(451\) | −34.2156 | − | 10.0466i | −1.61115 | − | 0.473077i | ||||
\(452\) | 0.542750 | − | 0.0780357i | 0.0255288 | − | 0.00367049i | ||||
\(453\) | 0.937747 | − | 0.812563i | 0.0440592 | − | 0.0381775i | ||||
\(454\) | −15.7245 | − | 34.4318i | −0.737986 | − | 1.61596i | ||||
\(455\) | −31.3657 | − | 7.22287i | −1.47045 | − | 0.338613i | ||||
\(456\) | −7.32924 | − | 3.34715i | −0.343223 | − | 0.156745i | ||||
\(457\) | 24.9848 | + | 3.59228i | 1.16874 | + | 0.168040i | 0.699237 | − | 0.714890i | \(-0.253523\pi\) |
0.469505 | + | 0.882930i | \(0.344432\pi\) | |||||||
\(458\) | 2.29547 | − | 1.47521i | 0.107260 | − | 0.0689319i | ||||
\(459\) | 3.19744i | 0.149244i | ||||||||
\(460\) | 8.16566 | − | 6.69757i | 0.380726 | − | 0.312276i | ||||
\(461\) | − | 19.3427i | − | 0.900878i | −0.892807 | − | 0.450439i | \(-0.851268\pi\) | ||
0.892807 | − | 0.450439i | \(-0.148732\pi\) | |||||||
\(462\) | 1.60622 | + | 27.0703i | 0.0747283 | + | 1.25942i | ||||
\(463\) | −1.81269 | + | 12.6075i | −0.0842429 | + | 0.585922i | 0.903352 | + | 0.428900i | \(0.141099\pi\) |
−0.987595 | + | 0.157022i | \(0.949810\pi\) | |||||||
\(464\) | 1.69610 | − | 3.71393i | 0.0787393 | − | 0.172415i | ||||
\(465\) | 4.36332 | − | 1.28119i | 0.202344 | − | 0.0594136i | ||||
\(466\) | 1.94199 | + | 4.25237i | 0.0899610 | + | 0.196987i | ||||
\(467\) | −11.1057 | − | 12.8167i | −0.513910 | − | 0.593084i | 0.438185 | − | 0.898885i | \(-0.355621\pi\) |
−0.952096 | + | 0.305800i | \(0.901076\pi\) | |||||||
\(468\) | 1.40184 | − | 0.201554i | 0.0648001 | − | 0.00931685i | ||||
\(469\) | 11.4869 | + | 11.7691i | 0.530413 | + | 0.543444i | ||||
\(470\) | −2.05626 | − | 1.78176i | −0.0948481 | − | 0.0821864i | ||||
\(471\) | −1.89726 | + | 2.95219i | −0.0874211 | + | 0.136030i | ||||
\(472\) | −5.28284 | + | 8.22026i | −0.243162 | + | 0.378368i | ||||
\(473\) | −24.7630 | + | 28.5780i | −1.13860 | + | 1.31402i | ||||
\(474\) | 21.8890 | + | 6.42718i | 1.00539 | + | 0.295210i | ||||
\(475\) | −6.74807 | − | 46.9338i | −0.309622 | − | 2.15347i | ||||
\(476\) | −4.19617 | + | 0.859633i | −0.192331 | + | 0.0394012i | ||||
\(477\) | −1.71040 | + | 0.781112i | −0.0783136 | + | 0.0357646i | ||||
\(478\) | −19.2351 | + | 5.64793i | −0.879792 | + | 0.258330i | ||||
\(479\) | 13.2789 | − | 29.0767i | 0.606727 | − | 1.32855i | −0.318063 | − | 0.948070i | \(-0.603032\pi\) |
0.924790 | − | 0.380478i | \(-0.124240\pi\) | |||||||
\(480\) | −12.0559 | − | 1.73338i | −0.550275 | − | 0.0791176i | ||||
\(481\) | −0.983034 | + | 0.631758i | −0.0448225 | + | 0.0288057i | ||||
\(482\) | 26.4567 | 1.20507 | ||||||||
\(483\) | −9.85202 | − | 7.99610i | −0.448282 | − | 0.363835i | ||||
\(484\) | −15.6534 | −0.711518 | ||||||||
\(485\) | 32.6794 | − | 21.0018i | 1.48390 | − | 0.953642i | ||||
\(486\) | −1.56702 | − | 0.225304i | −0.0710816 | − | 0.0102200i | ||||
\(487\) | −10.1595 | + | 22.2461i | −0.460369 | + | 1.00807i | 0.527034 | + | 0.849844i | \(0.323304\pi\) |
−0.987403 | + | 0.158223i | \(0.949423\pi\) | |||||||
\(488\) | −27.9038 | + | 8.19330i | −1.26315 | + | 0.370893i | ||||
\(489\) | −0.660370 | + | 0.301581i | −0.0298629 | + | 0.0136379i | ||||
\(490\) | −14.6972 | + | 45.9026i | −0.663950 | + | 2.07367i | ||||
\(491\) | 1.59403 | + | 11.0867i | 0.0719375 | + | 0.500336i | 0.993655 | + | 0.112474i | \(0.0358774\pi\) |
−0.921717 | + | 0.387863i | \(0.873213\pi\) | |||||||
\(492\) | 2.67587 | + | 0.785707i | 0.120638 | + | 0.0354224i | ||||
\(493\) | 1.79743 | − | 2.07434i | 0.0809522 | − | 0.0934238i | ||||
\(494\) | −8.15753 | + | 12.6934i | −0.367025 | + | 0.571101i | ||||
\(495\) | −15.2234 | + | 23.6880i | −0.684239 | + | 1.06470i | ||||
\(496\) | 3.75844 | + | 3.25671i | 0.168759 | + | 0.146230i | ||||
\(497\) | 10.4356 | − | 10.1853i | 0.468099 | − | 0.456875i | ||||
\(498\) | 21.3209 | − | 3.06549i | 0.955413 | − | 0.137368i | ||||
\(499\) | 16.3288 | + | 18.8445i | 0.730979 | + | 0.843594i | 0.992581 | − | 0.121581i | \(-0.0387965\pi\) |
−0.261603 | + | 0.965176i | \(0.584251\pi\) | |||||||
\(500\) | −8.15622 | − | 17.8596i | −0.364757 | − | 0.798707i | ||||
\(501\) | −17.0506 | + | 5.00651i | −0.761764 | + | 0.223674i | ||||
\(502\) | 2.80447 | − | 6.14094i | 0.125170 | − | 0.274084i | ||||
\(503\) | 3.55640 | − | 24.7353i | 0.158572 | − | 1.10289i | −0.742696 | − | 0.669629i | \(-0.766453\pi\) |
0.901268 | − | 0.433263i | \(-0.142638\pi\) | |||||||
\(504\) | 0.370573 | + | 6.24541i | 0.0165066 | + | 0.278193i | ||||
\(505\) | − | 5.57064i | − | 0.247890i | ||||||
\(506\) | 33.1831 | − | 36.2648i | 1.47517 | − | 1.61217i | ||||
\(507\) | − | 5.17606i | − | 0.229877i | ||||||
\(508\) | 2.33544 | − | 1.50090i | 0.103618 | − | 0.0665916i | ||||
\(509\) | 12.5815 | + | 1.80895i | 0.557666 | + | 0.0801802i | 0.415384 | − | 0.909646i | \(-0.363647\pi\) |
0.142281 | + | 0.989826i | \(0.454556\pi\) | |||||||
\(510\) | −20.0263 | − | 9.14569i | −0.886778 | − | 0.404978i | ||||
\(511\) | 21.9827 | + | 5.06216i | 0.972457 | + | 0.223937i | ||||
\(512\) | 3.81122 | + | 8.34542i | 0.168434 | + | 0.368819i | ||||
\(513\) | 2.57511 | − | 2.23135i | 0.113694 | − | 0.0985164i | ||||
\(514\) | 5.52674 | − | 0.794626i | 0.243774 | − | 0.0350494i | ||||
\(515\) | 48.9201 | + | 14.3642i | 2.15568 | + | 0.632964i | ||||
\(516\) | 1.93662 | − | 2.23497i | 0.0852548 | − | 0.0983893i | ||||
\(517\) | −2.15220 | − | 1.38314i | −0.0946538 | − | 0.0608303i | ||||
\(518\) | 0.819910 | + | 1.54585i | 0.0360248 | + | 0.0679210i | ||||
\(519\) | −9.73915 | + | 11.2396i | −0.427501 | + | 0.493363i | ||||
\(520\) | 8.10472 | − | 27.6021i | 0.355415 | − | 1.21043i | ||||
\(521\) | −2.76872 | − | 19.2568i | −0.121300 | − | 0.843657i | −0.956087 | − | 0.293084i | \(-0.905318\pi\) |
0.834787 | − | 0.550573i | \(-0.185591\pi\) | |||||||
\(522\) | 0.889955 | + | 1.02706i | 0.0389523 | + | 0.0449533i | ||||
\(523\) | 16.0829 | + | 35.2167i | 0.703257 | + | 1.53992i | 0.835977 | + | 0.548765i | \(0.184902\pi\) |
−0.132720 | + | 0.991154i | \(0.542371\pi\) | |||||||
\(524\) | −2.65523 | − | 9.04290i | −0.115994 | − | 0.395041i | ||||
\(525\) | −29.7398 | + | 21.7049i | −1.29795 | + | 0.947281i | ||||
\(526\) | 17.2249 | + | 2.47657i | 0.751041 | + | 0.107983i | ||||
\(527\) | 1.80748 | + | 2.81249i | 0.0787350 | + | 0.122514i | ||||
\(528\) | −30.7933 | −1.34011 | ||||||||
\(529\) | 2.03722 | + | 22.9096i | 0.0885750 | + | 0.996070i | ||||
\(530\) | − | 12.9468i | − | 0.562374i | ||||||
\(531\) | −2.23405 | − | 3.47625i | −0.0969494 | − | 0.150856i | ||||
\(532\) | 3.62064 | + | 2.77956i | 0.156975 | + | 0.120509i | ||||
\(533\) | −6.40014 | + | 14.0143i | −0.277221 | + | 0.607029i | ||||
\(534\) | −0.118410 | − | 0.403266i | −0.00512409 | − | 0.0174510i | ||||
\(535\) | −18.1390 | + | 8.28382i | −0.784219 | + | 0.358141i | ||||
\(536\) | −11.1085 | + | 9.62554i | −0.479812 | + | 0.415760i | ||||
\(537\) | 15.1713 | − | 2.18131i | 0.654691 | − | 0.0941304i | ||||
\(538\) | 7.33757 | − | 24.9895i | 0.316345 | − | 1.07737i | ||||
\(539\) | −7.53628 | + | 44.6887i | −0.324610 | + | 1.92488i | ||||
\(540\) | 1.19056 | − | 1.85255i | 0.0512335 | − | 0.0797209i | ||||
\(541\) | −4.84353 | − | 3.11275i | −0.208240 | − | 0.133827i | 0.432364 | − | 0.901699i | \(-0.357679\pi\) |
−0.640604 | + | 0.767872i | \(0.721316\pi\) | |||||||
\(542\) | 27.5871 | + | 23.9044i | 1.18497 | + | 1.02678i | ||||
\(543\) | −1.01734 | + | 3.46475i | −0.0436584 | + | 0.148687i | ||||
\(544\) | −1.27433 | − | 8.86318i | −0.0546366 | − | 0.380006i | ||||
\(545\) | −46.7571 | + | 40.5153i | −2.00285 | + | 1.73548i | ||||
\(546\) | 11.6752 | + | 0.977547i | 0.499651 | + | 0.0418351i | ||||
\(547\) | −6.70088 | + | 1.96756i | −0.286509 | + | 0.0841266i | −0.421829 | − | 0.906675i | \(-0.638612\pi\) |
0.135320 | + | 0.990802i | \(0.456794\pi\) | |||||||
\(548\) | −2.14326 | − | 0.978796i | −0.0915557 | − | 0.0418121i | ||||
\(549\) | 1.75024 | − | 12.1732i | 0.0746983 | − | 0.519538i | ||||
\(550\) | −77.1128 | − | 119.990i | −3.28810 | − | 5.11639i | ||||
\(551\) | −2.92495 | −0.124607 | ||||||||
\(552\) | 7.65569 | − | 8.36668i | 0.325848 | − | 0.356109i | ||||
\(553\) | 33.2377 | + | 18.6762i | 1.41341 | + | 0.794193i | ||||
\(554\) | 21.7293 | − | 13.9646i | 0.923189 | − | 0.593298i | ||||
\(555\) | −0.258579 | + | 1.79845i | −0.0109761 | + | 0.0763401i | ||||
\(556\) | −1.53665 | − | 0.701762i | −0.0651683 | − | 0.0297614i | ||||
\(557\) | 3.37688 | + | 11.5006i | 0.143083 | + | 0.487296i | 0.999584 | − | 0.0288497i | \(-0.00918443\pi\) |
−0.856501 | + | 0.516146i | \(0.827366\pi\) | |||||||
\(558\) | −1.50573 | + | 0.687642i | −0.0637425 | + | 0.0291102i | ||||
\(559\) | 10.6986 | + | 12.3469i | 0.452503 | + | 0.522216i | ||||
\(560\) | −51.0440 | − | 19.7472i | −2.15700 | − | 0.834471i | ||||
\(561\) | −19.8625 | − | 5.83214i | −0.838593 | − | 0.246233i | ||||
\(562\) | −23.5101 | − | 20.3716i | −0.991715 | − | 0.859326i | ||||
\(563\) | 29.0360 | + | 18.6603i | 1.22372 | + | 0.786439i | 0.982902 | − | 0.184130i | \(-0.0589469\pi\) |
0.240821 | + | 0.970569i | \(0.422583\pi\) | |||||||
\(564\) | 0.168315 | + | 0.108170i | 0.00708736 | + | 0.00455477i | ||||
\(565\) | 3.55963 | + | 3.08444i | 0.149755 | + | 0.129763i | ||||
\(566\) | −19.8252 | − | 5.82120i | −0.833315 | − | 0.244683i | ||||
\(567\) | −2.46753 | − | 0.954606i | −0.103627 | − | 0.0400897i | ||||
\(568\) | 8.53492 | + | 9.84982i | 0.358117 | + | 0.413289i | ||||
\(569\) | −4.96173 | + | 2.26595i | −0.208007 | + | 0.0949934i | −0.516694 | − | 0.856170i | \(-0.672838\pi\) |
0.308688 | + | 0.951164i | \(0.400110\pi\) | |||||||
\(570\) | 6.60979 | + | 22.5109i | 0.276853 | + | 0.942876i | ||||
\(571\) | 12.6026 | + | 5.75540i | 0.527401 | + | 0.240856i | 0.661277 | − | 0.750142i | \(-0.270015\pi\) |
−0.133876 | + | 0.990998i | \(0.542742\pi\) | |||||||
\(572\) | −1.30491 | + | 9.07585i | −0.0545610 | + | 0.379480i | ||||
\(573\) | 8.20508 | − | 5.27308i | 0.342772 | − | 0.220286i | ||||
\(574\) | 20.1131 | + | 11.3015i | 0.839504 | + | 0.471716i | ||||
\(575\) | 65.7778 | + | 11.2813i | 2.74312 | + | 0.470464i | ||||
\(576\) | −5.07905 | −0.211627 | ||||||||
\(577\) | 12.3923 | + | 19.2828i | 0.515898 | + | 0.802752i | 0.997276 | − | 0.0737605i | \(-0.0235001\pi\) |
−0.481378 | + | 0.876513i | \(0.659864\pi\) | |||||||
\(578\) | −1.52674 | + | 10.6187i | −0.0635042 | + | 0.441681i | ||||
\(579\) | 9.09629 | + | 4.15414i | 0.378029 | + | 0.172640i | ||||
\(580\) | −1.81378 | + | 0.532574i | −0.0753131 | + | 0.0221139i | ||||
\(581\) | 35.8726 | + | 3.00356i | 1.48824 | + | 0.124609i | ||||
\(582\) | −10.6864 | + | 9.25980i | −0.442965 | + | 0.383831i | ||||
\(583\) | −1.73249 | − | 12.0497i | −0.0717522 | − | 0.499048i | ||||
\(584\) | −5.68020 | + | 19.3450i | −0.235048 | + | 0.800502i | ||||
\(585\) | 9.19399 | + | 7.96664i | 0.380125 | + | 0.329380i | ||||
\(586\) | −35.1295 | − | 22.5763i | −1.45118 | − | 0.932620i | ||||
\(587\) | −10.5012 | + | 16.3403i | −0.433433 | + | 0.674434i | −0.987425 | − | 0.158087i | \(-0.949467\pi\) |
0.553992 | + | 0.832522i | \(0.313104\pi\) | |||||||
\(588\) | 0.589383 | − | 3.49492i | 0.0243057 | − | 0.144128i | ||||
\(589\) | 1.00373 | − | 3.41839i | 0.0413580 | − | 0.140852i | ||||
\(590\) | 28.1626 | − | 4.04917i | 1.15943 | − | 0.166702i | ||||
\(591\) | −0.199342 | + | 0.172731i | −0.00819985 | + | 0.00710521i | ||||
\(592\) | −1.80744 | + | 0.825428i | −0.0742851 | + | 0.0339249i | ||||
\(593\) | 6.89822 | + | 23.4932i | 0.283276 | + | 0.964749i | 0.971060 | + | 0.238834i | \(0.0767652\pi\) |
−0.687785 | + | 0.725915i | \(0.741417\pi\) | |||||||
\(594\) | 4.25784 | − | 9.32337i | 0.174701 | − | 0.382543i | ||||
\(595\) | −29.1846 | − | 22.4050i | −1.19645 | − | 0.918514i | ||||
\(596\) | −0.867474 | − | 1.34982i | −0.0355331 | − | 0.0552906i | ||||
\(597\) | − | 8.10303i | − | 0.331635i | ||||||
\(598\) | −13.4681 | − | 16.4203i | −0.550751 | − | 0.671475i | ||||
\(599\) | −34.5820 | −1.41298 | −0.706491 | − | 0.707722i | \(-0.749723\pi\) | ||||
−0.706491 | + | 0.707722i | \(0.749723\pi\) | |||||||
\(600\) | −17.7908 | − | 27.6830i | −0.726305 | − | 1.13015i | ||||
\(601\) | −22.4351 | − | 3.22568i | −0.915147 | − | 0.131578i | −0.331378 | − | 0.943498i | \(-0.607513\pi\) |
−0.583769 | + | 0.811920i | \(0.698423\pi\) | |||||||
\(602\) | 19.7612 | − | 14.4222i | 0.805405 | − | 0.587806i | ||||
\(603\) | −1.75121 | − | 5.96407i | −0.0713148 | − | 0.242876i | ||||
\(604\) | −0.260987 | − | 0.571482i | −0.0106194 | − | 0.0232533i | ||||
\(605\) | −88.0525 | − | 101.618i | −3.57984 | − | 4.13136i | ||||
\(606\) | 0.288576 | + | 2.00709i | 0.0117226 | + | 0.0815326i | ||||
\(607\) | 2.43150 | − | 8.28094i | 0.0986917 | − | 0.336113i | −0.895315 | − | 0.445434i | \(-0.853049\pi\) |
0.994007 | + | 0.109321i | \(0.0348676\pi\) | |||||||
\(608\) | −6.24881 | + | 7.21152i | −0.253423 | + | 0.292466i | ||||
\(609\) | 1.06419 | + | 2.00642i | 0.0431231 | + | 0.0813042i | ||||
\(610\) | 71.2370 | + | 45.7812i | 2.88430 | + | 1.85363i | ||||
\(611\) | −0.723818 | + | 0.835331i | −0.0292826 | + | 0.0337939i | ||||
\(612\) | 1.55336 | + | 0.456109i | 0.0627910 | + | 0.0184371i | ||||
\(613\) | 18.3847 | − | 2.64332i | 0.742550 | − | 0.106763i | 0.239351 | − | 0.970933i | \(-0.423065\pi\) |
0.503199 | + | 0.864171i | \(0.332156\pi\) | |||||||
\(614\) | −20.9095 | + | 18.1182i | −0.843839 | + | 0.731191i | ||||
\(615\) | 9.95153 | + | 21.7908i | 0.401284 | + | 0.878690i | ||||
\(616\) | −39.4723 | − | 9.08965i | −1.59038 | − | 0.366232i | ||||
\(617\) | −28.4333 | − | 12.9851i | −1.14468 | − | 0.522759i | −0.249463 | − | 0.968384i | \(-0.580254\pi\) |
−0.895220 | + | 0.445625i | \(0.852981\pi\) | |||||||
\(618\) | −18.3699 | − | 2.64120i | −0.738947 | − | 0.106245i | ||||
\(619\) | −29.9926 | + | 19.2751i | −1.20550 | + | 0.774730i | −0.979900 | − | 0.199489i | \(-0.936072\pi\) |
−0.225604 | + | 0.974219i | \(0.572435\pi\) | |||||||
\(620\) | − | 2.30252i | − | 0.0924716i | ||||||
\(621\) | 1.87352 | + | 4.41474i | 0.0751819 | + | 0.177157i | ||||
\(622\) | 36.9726i | 1.48246i | ||||||||
\(623\) | −0.0416036 | − | 0.701161i | −0.00166681 | − | 0.0280914i | ||||
\(624\) | −1.89335 | + | 13.1685i | −0.0757946 | + | 0.527163i | ||||
\(625\) | 41.1561 | − | 90.1194i | 1.64625 | − | 3.60477i | ||||
\(626\) | 4.24435 | − | 1.24625i | 0.169638 | − | 0.0498103i | ||||
\(627\) | 9.16408 | + | 20.0665i | 0.365978 | + | 0.801381i | ||||
\(628\) | 1.16358 | + | 1.34284i | 0.0464318 | + | 0.0535852i | ||||
\(629\) | −1.32217 | + | 0.190100i | −0.0527185 | + | 0.00757978i | ||||
\(630\) | 13.0368 | − | 12.7242i | 0.519400 | − | 0.506946i | ||||
\(631\) | −9.56890 | − | 8.29150i | −0.380932 | − | 0.330080i | 0.443257 | − | 0.896395i | \(-0.353823\pi\) |
−0.824189 | + | 0.566315i | \(0.808368\pi\) | |||||||
\(632\) | −18.4225 | + | 28.6660i | −0.732808 | + | 1.14027i | ||||
\(633\) | 9.48375 | − | 14.7570i | 0.376945 | − | 0.586538i | ||||
\(634\) | 10.6814 | − | 12.3270i | 0.424213 | − | 0.489567i | ||||
\(635\) | 22.8806 | + | 6.71836i | 0.907991 | + | 0.266610i | ||||
\(636\) | 0.135491 | + | 0.942360i | 0.00537256 | + | 0.0373670i | ||||
\(637\) | 18.6474 | + | 5.97055i | 0.738837 | + | 0.236562i | ||||
\(638\) | −8.00338 | + | 3.65502i | −0.316857 | + | 0.144704i | ||||
\(639\) | −5.28831 | + | 1.55279i | −0.209202 | + | 0.0614274i | ||||
\(640\) | 24.6471 | − | 53.9696i | 0.974262 | − | 2.13334i | ||||
\(641\) | 36.7770 | + | 5.28773i | 1.45260 | + | 0.208853i | 0.822990 | − | 0.568056i | \(-0.192304\pi\) |
0.629614 | + | 0.776908i | \(0.283213\pi\) | |||||||
\(642\) | 6.10634 | − | 3.92431i | 0.240998 | − | 0.154880i | ||||
\(643\) | −13.5856 | −0.535762 | −0.267881 | − | 0.963452i | \(-0.586323\pi\) | ||||
−0.267881 | + | 0.963452i | \(0.586323\pi\) | |||||||
\(644\) | −5.29000 | + | 3.64563i | −0.208455 | + | 0.143658i | ||||
\(645\) | 25.4026 | 1.00023 | ||||||||
\(646\) | −14.5100 | + | 9.32499i | −0.570887 | + | 0.366887i | ||||
\(647\) | 14.4729 | + | 2.08089i | 0.568988 | + | 0.0818081i | 0.420804 | − | 0.907152i | \(-0.361748\pi\) |
0.148184 | + | 0.988960i | \(0.452657\pi\) | |||||||
\(648\) | 0.982329 | − | 2.15100i | 0.0385895 | − | 0.0844993i | ||||
\(649\) | 25.6693 | − | 7.53718i | 1.00761 | − | 0.295860i | ||||
\(650\) | −56.0542 | + | 25.5991i | −2.19862 | + | 1.00408i | ||||
\(651\) | −2.71009 | + | 0.555192i | −0.106217 | + | 0.0217597i | ||||
\(652\) | 0.0523119 | + | 0.363837i | 0.00204869 | + | 0.0142490i | ||||
\(653\) | −42.4066 | − | 12.4517i | −1.65950 | − | 0.487273i | −0.688276 | − | 0.725449i | \(-0.741632\pi\) |
−0.971222 | + | 0.238176i | \(0.923451\pi\) | |||||||
\(654\) | 14.7477 | − | 17.0197i | 0.576680 | − | 0.665525i | ||||
\(655\) | 43.7682 | − | 68.1047i | 1.71017 | − | 2.66107i | ||||
\(656\) | −14.1635 | + | 22.0389i | −0.552992 | + | 0.860473i | ||||
\(657\) | −6.44362 | − | 5.58343i | −0.251390 | − | 0.217830i | ||||
\(658\) | 1.15608 | + | 1.18448i | 0.0450685 | + | 0.0461757i | ||||
\(659\) | −24.4618 | + | 3.51708i | −0.952896 | + | 0.137006i | −0.601191 | − | 0.799105i | \(-0.705307\pi\) |
−0.351705 | + | 0.936111i | \(0.614398\pi\) | |||||||
\(660\) | 9.33641 | + | 10.7748i | 0.363419 | + | 0.419408i | ||||
\(661\) | 4.23967 | + | 9.28358i | 0.164904 | + | 0.361090i | 0.973987 | − | 0.226605i | \(-0.0727628\pi\) |
−0.809083 | + | 0.587695i | \(0.800036\pi\) | |||||||
\(662\) | 23.4296 | − | 6.87956i | 0.910618 | − | 0.267382i | ||||
\(663\) | −3.71533 | + | 8.13544i | −0.144291 | + | 0.315954i | ||||
\(664\) | −4.57884 | + | 31.8465i | −0.177693 | + | 1.23589i | ||||
\(665\) | 2.32237 | + | 39.1397i | 0.0900575 | + | 1.51777i | ||||
\(666\) | − | 0.661375i | − | 0.0256278i | ||||||
\(667\) | 1.26628 | − | 3.91726i | 0.0490305 | − | 0.151677i | ||||
\(668\) | 8.99760i | 0.348128i | ||||||||
\(669\) | 8.75399 | − | 5.62585i | 0.338449 | − | 0.217508i | ||||
\(670\) | 42.3633 | + | 6.09093i | 1.63664 | + | 0.235313i | ||||
\(671\) | 72.4271 | + | 33.0763i | 2.79602 | + | 1.27690i | ||||
\(672\) | 7.22037 | + | 1.66270i | 0.278532 | + | 0.0641400i | ||||
\(673\) | 19.3742 | + | 42.4235i | 0.746819 | + | 1.63531i | 0.771999 | + | 0.635623i | \(0.219257\pi\) |
−0.0251801 | + | 0.999683i | \(0.508016\pi\) | |||||||
\(674\) | 17.0065 | − | 14.7362i | 0.655066 | − | 0.567618i | ||||
\(675\) | 13.7742 | − | 1.98044i | 0.530171 | − | 0.0762270i | ||||
\(676\) | −2.51461 | − | 0.738356i | −0.0967157 | − | 0.0283983i | ||||
\(677\) | 1.94393 | − | 2.24342i | 0.0747114 | − | 0.0862215i | −0.717163 | − | 0.696905i | \(-0.754560\pi\) |
0.791875 | + | 0.610684i | \(0.209105\pi\) | |||||||
\(678\) | −1.44231 | − | 0.926918i | −0.0553917 | − | 0.0355981i | ||||
\(679\) | −20.8764 | + | 11.0727i | −0.801162 | + | 0.424930i | ||||
\(680\) | 21.5347 | − | 24.8524i | 0.825820 | − | 0.953047i | ||||
\(681\) | −6.73616 | + | 22.9413i | −0.258130 | + | 0.879111i | ||||
\(682\) | −1.52517 | − | 10.6078i | −0.0584019 | − | 0.406194i | ||||
\(683\) | −14.9509 | − | 17.2542i | −0.572079 | − | 0.660214i | 0.393804 | − | 0.919195i | \(-0.371159\pi\) |
−0.965883 | + | 0.258980i | \(0.916613\pi\) | |||||||
\(684\) | −0.716687 | − | 1.56933i | −0.0274032 | − | 0.0600047i | ||||
\(685\) | −5.70205 | − | 19.4194i | −0.217864 | − | 0.741978i | ||||
\(686\) | 11.2393 | − | 27.0804i | 0.429120 | − | 1.03393i | ||||
\(687\) | −1.70601 | − | 0.245288i | −0.0650884 | − | 0.00935830i | ||||
\(688\) | 15.0190 | + | 23.3701i | 0.572596 | + | 0.890976i | ||||
\(689\) | −5.25949 | −0.200371 | ||||||||
\(690\) | −33.0093 | − | 0.893260i | −1.25664 | − | 0.0340058i | ||||
\(691\) | 38.5703i | 1.46728i | 0.679538 | + | 0.733641i | \(0.262180\pi\) | ||||
−0.679538 | + | 0.733641i | \(0.737820\pi\) | |||||||
\(692\) | 4.07109 | + | 6.33473i | 0.154759 | + | 0.240810i | ||||
\(693\) | 10.4308 | − | 13.5871i | 0.396233 | − | 0.516131i | ||||
\(694\) | −18.2240 | + | 39.9050i | −0.691773 | + | 1.51477i | ||||
\(695\) | −4.08817 | − | 13.9230i | −0.155073 | − | 0.528131i | ||||
\(696\) | −1.84647 | + | 0.843253i | −0.0699901 | + | 0.0319634i | ||||
\(697\) | −13.3099 | + | 11.5331i | −0.504148 | + | 0.436847i | ||||
\(698\) | 5.34771 | − | 0.768884i | 0.202414 | − | 0.0291027i | ||||
\(699\) | 0.831924 | − | 2.83327i | 0.0314662 | − | 0.107164i | ||||
\(700\) | 6.30224 | + | 17.5442i | 0.238202 | + | 0.663109i | ||||
\(701\) | −22.1900 | + | 34.5282i | −0.838103 | + | 1.30411i | 0.112484 | + | 0.993654i | \(0.464119\pi\) |
−0.950586 | + | 0.310460i | \(0.899517\pi\) | |||||||
\(702\) | −3.72527 | − | 2.39409i | −0.140601 | − | 0.0903590i | ||||
\(703\) | 1.07578 | + | 0.932173i | 0.0405740 | + | 0.0351576i | ||||
\(704\) | 9.26420 | − | 31.5510i | 0.349158 | − | 1.18912i | ||||
\(705\) | 0.244586 | + | 1.70113i | 0.00921164 | + | 0.0640683i | ||||
\(706\) | −32.1470 | + | 27.8556i | −1.20987 | + | 1.04836i | ||||
\(707\) | −0.282747 | + | 3.37695i | −0.0106338 | + | 0.127003i | ||||
\(708\) | −2.00749 | + | 0.589454i | −0.0754463 | + | 0.0221530i | ||||
\(709\) | −39.9875 | − | 18.2617i | −1.50176 | − | 0.685832i | −0.516407 | − | 0.856343i | \(-0.672731\pi\) |
−0.985356 | + | 0.170511i | \(0.945458\pi\) | |||||||
\(710\) | 5.40079 | − | 37.5633i | 0.202688 | − | 1.40973i | ||||
\(711\) | −7.79065 | − | 12.1225i | −0.292172 | − | 0.454629i | ||||
\(712\) | 0.627779 | 0.0235270 | ||||||||
\(713\) | 4.14357 | + | 2.82415i | 0.155178 | + | 0.105765i | ||||
\(714\) | 11.6758 | + | 6.56062i | 0.436956 | + | 0.245525i | ||||
\(715\) | −66.2585 | + | 42.5817i | −2.47793 | + | 1.59247i | ||||
\(716\) | 1.10445 | − | 7.68162i | 0.0412752 | − | 0.287076i | ||||
\(717\) | 11.5186 | + | 5.26036i | 0.430170 | + | 0.196452i | ||||
\(718\) | 3.14645 | + | 10.7158i | 0.117425 | + | 0.399911i | ||||
\(719\) | 16.7217 | − | 7.63656i | 0.623615 | − | 0.284795i | −0.0784392 | − | 0.996919i | \(-0.524994\pi\) |
0.702054 | + | 0.712123i | \(0.252266\pi\) | |||||||
\(720\) | 13.5466 | + | 15.6336i | 0.504852 | + | 0.582630i | ||||
\(721\) | −28.9265 | − | 11.1907i | −1.07728 | − | 0.416763i | ||||
\(722\) | −11.2253 | − | 3.29604i | −0.417762 | − | 0.122666i | ||||
\(723\) | −12.6297 | − | 10.9437i | −0.469705 | − | 0.407002i | ||||
\(724\) | 1.53811 | + | 0.988481i | 0.0571633 | + | 0.0367366i | ||||
\(725\) | −10.0494 | − | 6.45833i | −0.373224 | − | 0.239856i | ||||
\(726\) | 36.9893 | + | 32.0514i | 1.37280 | + | 1.18954i | ||||
\(727\) | −23.6414 | − | 6.94173i | −0.876810 | − | 0.257455i | −0.187801 | − | 0.982207i | \(-0.560136\pi\) |
−0.689009 | + | 0.724753i | \(0.741954\pi\) | |||||||
\(728\) | −6.31410 | + | 16.3212i | −0.234016 | + | 0.604902i | ||||
\(729\) | 0.654861 | + | 0.755750i | 0.0242541 | + | 0.0279907i | ||||
\(730\) | 53.4010 | − | 24.3874i | 1.97646 | − | 0.902619i | ||||
\(731\) | 5.26145 | + | 17.9188i | 0.194602 | + | 0.662752i | ||||
\(732\) | −5.66424 | − | 2.58677i | −0.209356 | − | 0.0956098i | ||||
\(733\) | 1.26423 | − | 8.79290i | 0.0466953 | − | 0.324773i | −0.953063 | − | 0.302773i | \(-0.902088\pi\) |
0.999758 | − | 0.0220000i | \(-0.00700338\pi\) | |||||||
\(734\) | 13.1908 | − | 8.47718i | 0.486879 | − | 0.312898i | ||||
\(735\) | 26.0036 | − | 15.8333i | 0.959155 | − | 0.584020i | ||||
\(736\) | −6.95282 | − | 11.4908i | −0.256284 | − | 0.423556i | ||||
\(737\) | 40.2429 | 1.48237 | ||||||||
\(738\) | −4.71435 | − | 7.33567i | −0.173538 | − | 0.270030i | ||||
\(739\) | −4.71648 | + | 32.8039i | −0.173499 | + | 1.20671i | 0.697922 | + | 0.716174i | \(0.254108\pi\) |
−0.871421 | + | 0.490536i | \(0.836801\pi\) | |||||||
\(740\) | 0.836830 | + | 0.382167i | 0.0307625 | + | 0.0140488i | ||||
\(741\) | 9.14477 | − | 2.68515i | 0.335942 | − | 0.0986414i | ||||
\(742\) | −0.657137 | + | 7.84841i | −0.0241243 | + | 0.288124i | ||||
\(743\) | 4.57214 | − | 3.96178i | 0.167735 | − | 0.145344i | −0.566948 | − | 0.823753i | \(-0.691876\pi\) |
0.734684 | + | 0.678410i | \(0.237331\pi\) | |||||||
\(744\) | −0.351874 | − | 2.44734i | −0.0129003 | − | 0.0897237i | ||||
\(745\) | 3.88302 | − | 13.2243i | 0.142263 | − | 0.484502i | ||||
\(746\) | 29.4077 | + | 25.4820i | 1.07669 | + | 0.932961i | ||||
\(747\) | −11.4461 | − | 7.35596i | −0.418791 | − | 0.269140i | ||||
\(748\) | −5.66668 | + | 8.81753i | −0.207194 | + | 0.322401i | ||||
\(749\) | 11.4164 | − | 4.10101i | 0.417147 | − | 0.149848i | ||||
\(750\) | −17.2955 | + | 58.9031i | −0.631543 | + | 2.15084i | ||||
\(751\) | −11.7740 | + | 1.69285i | −0.429640 | + | 0.0617730i | −0.353743 | − | 0.935343i | \(-0.615091\pi\) |
−0.0758974 | + | 0.997116i | \(0.524182\pi\) | |||||||
\(752\) | −1.42041 | + | 1.23079i | −0.0517970 | + | 0.0448824i | ||||
\(753\) | −3.87897 | + | 1.77147i | −0.141357 | + | 0.0645558i | ||||
\(754\) | 1.07095 | + | 3.64732i | 0.0390017 | + | 0.132828i | ||||
\(755\) | 2.24183 | − | 4.90893i | 0.0815887 | − | 0.178654i | ||||
\(756\) | −0.815751 | + | 1.06259i | −0.0296686 | + | 0.0386461i | ||||
\(757\) | −3.32153 | − | 5.16840i | −0.120723 | − | 0.187849i | 0.775632 | − | 0.631185i | \(-0.217431\pi\) |
−0.896355 | + | 0.443336i | \(0.853795\pi\) | |||||||
\(758\) | 29.9311i | 1.08715i | ||||||||
\(759\) | −30.8416 | + | 3.58580i | −1.11948 | + | 0.130156i | ||||
\(760\) | −35.0434 | −1.27116 | ||||||||
\(761\) | −8.94017 | − | 13.9112i | −0.324081 | − | 0.504280i | 0.640539 | − | 0.767926i | \(-0.278711\pi\) |
−0.964619 | + | 0.263646i | \(0.915075\pi\) | |||||||
\(762\) | −8.59189 | − | 1.23533i | −0.311251 | − | 0.0447512i | ||||
\(763\) | 30.4008 | − | 22.1873i | 1.10058 | − | 0.803233i | ||||
\(764\) | −1.39130 | − | 4.73834i | −0.0503356 | − | 0.171427i | ||||
\(765\) | 5.77694 | + | 12.6497i | 0.208866 | + | 0.457352i | ||||
\(766\) | −14.1193 | − | 16.2945i | −0.510151 | − | 0.588745i | ||||
\(767\) | −1.64493 | − | 11.4407i | −0.0593948 | − | 0.413100i | ||||
\(768\) | −3.22265 | + | 10.9753i | −0.116287 | + | 0.396039i | ||||
\(769\) | −31.8636 | + | 36.7726i | −1.14903 | + | 1.32605i | −0.211813 | + | 0.977310i | \(0.567937\pi\) |
−0.937219 | + | 0.348742i | \(0.886609\pi\) | |||||||
\(770\) | 55.2635 | + | 104.194i | 1.99156 | + | 3.75488i | ||||
\(771\) | −2.96702 | − | 1.90679i | −0.106855 | − | 0.0686713i | ||||
\(772\) | 3.31571 | − | 3.82654i | 0.119335 | − | 0.137720i | ||||
\(773\) | 21.0647 | + | 6.18515i | 0.757644 | + | 0.222464i | 0.637667 | − | 0.770312i | \(-0.279900\pi\) |
0.119977 | + | 0.992777i | \(0.461718\pi\) | |||||||
\(774\) | −9.15253 | + | 1.31594i | −0.328981 | + | 0.0473003i | ||||
\(775\) | 10.9964 | − | 9.52843i | 0.395002 | − | 0.342271i | ||||
\(776\) | −8.77387 | − | 19.2121i | −0.314964 | − | 0.689674i | ||||
\(777\) | 0.248035 | − | 1.07711i | 0.00889820 | − | 0.0386409i | ||||
\(778\) | −5.97633 | − | 2.72930i | −0.214262 | − | 0.0978501i | ||||
\(779\) | 18.5767 | + | 2.67093i | 0.665581 | + | 0.0956961i | ||||
\(780\) | 5.18182 | − | 3.33015i | 0.185539 | − | 0.119239i | ||||
\(781\) | − | 35.6832i | − | 1.27685i | ||||||
\(782\) | −6.20686 | − | 23.4696i | −0.221957 | − | 0.839270i | ||||
\(783\) | − | 0.858421i | − | 0.0306775i | ||||||
\(784\) | 29.9407 | + | 14.5616i | 1.06931 | + | 0.520059i | ||||
\(785\) | −2.17211 | + | 15.1073i | −0.0775258 | + | 0.539204i | ||||
\(786\) | −12.2416 | + | 26.8053i | −0.436643 | + | 0.956115i | ||||
\(787\) | −21.7565 | + | 6.38827i | −0.775534 | + | 0.227717i | −0.645467 | − | 0.763788i | \(-0.723337\pi\) |
−0.130067 | + | 0.991505i | \(0.541519\pi\) | |||||||
\(788\) | 0.0554796 | + | 0.121483i | 0.00197638 | + | 0.00432766i | ||||
\(789\) | −7.19830 | − | 8.30728i | −0.256266 | − | 0.295747i | ||||
\(790\) | 98.2095 | − | 14.1204i | 3.49414 | − | 0.502381i | ||||
\(791\) | −2.00131 | − | 2.05047i | −0.0711583 | − | 0.0729065i | ||||
\(792\) | 11.5702 | + | 10.0256i | 0.411130 | + | 0.356246i | ||||
\(793\) | 18.5981 | − | 28.9392i | 0.660437 | − | 1.02766i | ||||
\(794\) | −30.1261 | + | 46.8771i | −1.06913 | + | 1.66361i | ||||
\(795\) | −5.35542 | + | 6.18048i | −0.189937 | + | 0.219199i | ||||
\(796\) | −3.93657 | − | 1.15588i | −0.139528 | − | 0.0409692i | ||||
\(797\) | −4.37307 | − | 30.4154i | −0.154902 | − | 1.07737i | −0.907852 | − | 0.419290i | \(-0.862279\pi\) |
0.752950 | − | 0.658077i | \(-0.228630\pi\) | |||||||
\(798\) | −2.86430 | − | 13.9817i | −0.101395 | − | 0.494946i | ||||
\(799\) | −1.14931 | + | 0.524871i | −0.0406596 | + | 0.0185686i | ||||
\(800\) | −37.3924 | + | 10.9794i | −1.32202 | + | 0.388180i | ||||
\(801\) | −0.110284 | + | 0.241489i | −0.00389671 | + | 0.00853260i | ||||
\(802\) | 32.5500 | + | 4.67998i | 1.14938 | + | 0.165256i | ||||
\(803\) | 46.4373 | − | 29.8435i | 1.63874 | − | 1.05315i | ||||
\(804\) | −3.14724 | −0.110995 | ||||||||
\(805\) | −53.4235 | − | 13.8342i | −1.88293 | − | 0.487592i | ||||
\(806\) | −4.63013 | −0.163089 | ||||||||
\(807\) | −13.8396 | + | 8.89417i | −0.487177 | + | 0.313090i | ||||
\(808\) | −2.99795 | − | 0.431040i | −0.105467 | − | 0.0151639i | ||||
\(809\) | 2.19920 | − | 4.81558i | 0.0773198 | − | 0.169307i | −0.867024 | − | 0.498266i | \(-0.833970\pi\) |
0.944344 | + | 0.328959i | \(0.106698\pi\) | |||||||
\(810\) | −6.60654 | + | 1.93985i | −0.232130 | + | 0.0681595i | ||||
\(811\) | 47.1596 | − | 21.5370i | 1.65600 | − | 0.756268i | 0.655997 | − | 0.754764i | \(-0.272248\pi\) |
0.999999 | − | 0.00150447i | \(-0.000478888\pi\) | |||||||
\(812\) | 1.12655 | − | 0.230787i | 0.0395342 | − | 0.00809904i | ||||
\(813\) | −3.28140 | − | 22.8227i | −0.115084 | − | 0.800426i | ||||
\(814\) | 4.10845 | + | 1.20635i | 0.144001 | + | 0.0422826i | ||||
\(815\) | −2.06768 | + | 2.38623i | −0.0724277 | + | 0.0835860i | ||||
\(816\) | −8.22203 | + | 12.7937i | −0.287829 | + | 0.447870i | ||||
\(817\) | 10.7595 | − | 16.7421i | 0.376428 | − | 0.585733i | ||||
\(818\) | −14.4855 | − | 12.5518i | −0.506475 | − | 0.438863i | ||||
\(819\) | −5.16907 | − | 5.29606i | −0.180622 | − | 0.185059i | ||||
\(820\) | 12.0059 | − | 1.72618i | 0.419263 | − | 0.0602809i | ||||
\(821\) | 8.63861 | + | 9.96949i | 0.301490 | + | 0.347938i | 0.886199 | − | 0.463306i | \(-0.153337\pi\) |
−0.584709 | + | 0.811243i | \(0.698791\pi\) | |||||||
\(822\) | 3.06043 | + | 6.70140i | 0.106745 | + | 0.233738i | ||||
\(823\) | 41.5367 | − | 12.1963i | 1.44788 | − | 0.425135i | 0.539038 | − | 0.842282i | \(-0.318788\pi\) |
0.908839 | + | 0.417147i | \(0.136970\pi\) | |||||||
\(824\) | 11.5157 | − | 25.2158i | 0.401167 | − | 0.878434i | ||||
\(825\) | −12.8218 | + | 89.1777i | −0.446398 | + | 3.10477i | ||||
\(826\) | −17.2778 | + | 1.02518i | −0.601171 | + | 0.0356707i | ||||
\(827\) | − | 54.4505i | − | 1.89343i | −0.322073 | − | 0.946715i | \(-0.604380\pi\) | ||
0.322073 | − | 0.946715i | \(-0.395620\pi\) | |||||||
\(828\) | 2.41200 | − | 0.280431i | 0.0838228 | − | 0.00974567i | ||||
\(829\) | − | 32.8025i | − | 1.13928i | −0.821895 | − | 0.569639i | \(-0.807083\pi\) | ||
0.821895 | − | 0.569639i | \(-0.192917\pi\) | |||||||
\(830\) | 78.8114 | − | 50.6490i | 2.73558 | − | 1.75805i | ||||
\(831\) | −16.1494 | − | 2.32194i | −0.560217 | − | 0.0805471i | ||||
\(832\) | −12.9229 | − | 5.90170i | −0.448022 | − | 0.204605i | ||||
\(833\) | 16.5546 | + | 15.0633i | 0.573583 | + | 0.521912i | ||||
\(834\) | 2.19422 | + | 4.80467i | 0.0759795 | + | 0.166372i | ||||
\(835\) | −58.4102 | + | 50.6128i | −2.02137 | + | 1.75153i | ||||
\(836\) | 11.0559 | − | 1.58959i | 0.382375 | − | 0.0549773i | ||||
\(837\) | 1.00324 | + | 0.294577i | 0.0346769 | + | 0.0101821i | ||||
\(838\) | 16.4866 | − | 19.0265i | 0.569520 | − | 0.657261i | ||||
\(839\) | −41.1849 | − | 26.4679i | −1.42186 | − | 0.913775i | −0.999975 | − | 0.00712672i | \(-0.997731\pi\) |
−0.421887 | − | 0.906648i | \(-0.638632\pi\) | |||||||
\(840\) | 12.7499 | + | 24.0386i | 0.439913 | + | 0.829410i | ||||
\(841\) | 18.5084 | − | 21.3598i | 0.638221 | − | 0.736546i | ||||
\(842\) | −4.29455 | + | 14.6259i | −0.148000 | + | 0.504042i | ||||
\(843\) | 2.79646 | + | 19.4498i | 0.0963152 | + | 0.669887i | ||||
\(844\) | −5.81634 | − | 6.71241i | −0.200207 | − | 0.231051i | ||||
\(845\) | −9.35179 | − | 20.4776i | −0.321711 | − | 0.704450i | ||||
\(846\) | −0.176248 | − | 0.600245i | −0.00605952 | − | 0.0206368i | ||||
\(847\) | 48.2200 | + | 66.0705i | 1.65686 | + | 2.27021i | ||||
\(848\) | −8.85229 | − | 1.27277i | −0.303989 | − | 0.0437070i | ||||
\(849\) | 7.05611 | + | 10.9795i | 0.242165 | + | 0.376816i | ||||
\(850\) | −70.4420 | −2.41614 | ||||||||
\(851\) | −1.71415 | + | 1.03719i | −0.0587603 | + | 0.0355545i | ||||
\(852\) | 2.79064i | 0.0956059i | ||||||||
\(853\) | −26.0975 | − | 40.6085i | −0.893560 | − | 1.39041i | −0.920488 | − | 0.390770i | \(-0.872209\pi\) |
0.0269280 | − | 0.999637i | \(-0.491428\pi\) | |||||||
\(854\) | −40.8604 | − | 31.3685i | −1.39822 | − | 1.07341i | ||||
\(855\) | 6.15622 | − | 13.4802i | 0.210538 | − | 0.461014i | ||||
\(856\) | 3.05455 | + | 10.4028i | 0.104402 | + | 0.355562i | ||||
\(857\) | −12.0552 | + | 5.50542i | −0.411798 | + | 0.188062i | −0.610532 | − | 0.791992i | \(-0.709044\pi\) |
0.198734 | + | 0.980053i | \(0.436317\pi\) | |||||||
\(858\) | 21.6670 | − | 18.7745i | 0.739698 | − | 0.640952i | ||||
\(859\) | −13.8413 | + | 1.99008i | −0.472259 | + | 0.0679006i | −0.374335 | − | 0.927293i | \(-0.622129\pi\) |
−0.0979235 | + | 0.995194i | \(0.531220\pi\) | |||||||
\(860\) | 3.62364 | − | 12.3410i | 0.123565 | − | 0.420824i | ||||
\(861\) | −4.92663 | − | 13.7148i | −0.167899 | − | 0.467398i | ||||
\(862\) | 21.0989 | − | 32.8306i | 0.718633 | − | 1.11821i | ||||
\(863\) | −2.25968 | − | 1.45221i | −0.0769203 | − | 0.0494337i | 0.501615 | − | 0.865091i | \(-0.332739\pi\) |
−0.578536 | + | 0.815657i | \(0.696376\pi\) | |||||||
\(864\) | −2.11645 | − | 1.83392i | −0.0720031 | − | 0.0623911i | ||||
\(865\) | −18.2231 | + | 62.0622i | −0.619605 | + | 2.11018i | ||||
\(866\) | −3.01765 | − | 20.9882i | −0.102544 | − | 0.713208i | ||||
\(867\) | 5.12124 | − | 4.43758i | 0.173926 | − | 0.150708i | ||||
\(868\) | −0.116868 | + | 1.39580i | −0.00396677 | + | 0.0473765i | ||||
\(869\) | 89.5149 | − | 26.2839i | 3.03658 | − | 0.891622i | ||||
\(870\) | 5.37648 | + | 2.45536i | 0.182280 | + | 0.0832444i | ||||
\(871\) | 2.47437 | − | 17.2096i | 0.0838407 | − | 0.583125i | ||||
\(872\) | 18.1861 | + | 28.2982i | 0.615860 | + | 0.958297i | ||||
\(873\) | 8.93170 | 0.302292 | ||||||||
\(874\) | −14.5701 | + | 21.3771i | −0.492842 | + | 0.723093i | ||||
\(875\) | −50.2576 | + | 89.4423i | −1.69902 | + | 3.02370i | ||||
\(876\) | −3.63168 | + | 2.33394i | −0.122703 | + | 0.0788566i | ||||
\(877\) | 3.80959 | − | 26.4963i | 0.128641 | − | 0.894717i | −0.818639 | − | 0.574309i | \(-0.805271\pi\) |
0.947280 | − | 0.320408i | \(-0.103820\pi\) | |||||||
\(878\) | −35.6636 | − | 16.2870i | −1.20359 | − | 0.549661i | ||||
\(879\) | 7.43127 | + | 25.3086i | 0.250650 | + | 0.853637i | ||||
\(880\) | −121.825 | + | 55.6355i | −4.10671 | + | 1.87547i | ||||
\(881\) | 4.29800 | + | 4.96016i | 0.144803 | + | 0.167112i | 0.823518 | − | 0.567290i | \(-0.192008\pi\) |
−0.678715 | + | 0.734402i | \(0.737463\pi\) | |||||||
\(882\) | −8.54882 | + | 7.05178i | −0.287854 | + | 0.237446i | ||||
\(883\) | −36.0483 | − | 10.5847i | −1.21312 | − | 0.356204i | −0.388265 | − | 0.921548i | \(-0.626926\pi\) |
−0.824856 | + | 0.565343i | \(0.808744\pi\) | |||||||
\(884\) | 3.42233 | + | 2.96547i | 0.115105 | + | 0.0997395i | ||||
\(885\) | −15.1190 | − | 9.71641i | −0.508220 | − | 0.326613i | ||||
\(886\) | −8.76028 | − | 5.62989i | −0.294307 | − | 0.189140i | ||||
\(887\) | −31.0216 | − | 26.8804i | −1.04160 | − | 0.902555i | −0.0462592 | − | 0.998929i | \(-0.514730\pi\) |
−0.995345 | + | 0.0963741i | \(0.969275\pi\) | |||||||
\(888\) | 0.947864 | + | 0.278318i | 0.0318082 | + | 0.00933974i | ||||
\(889\) | −13.5293 | − | 5.23404i | −0.453759 | − | 0.175544i | ||||
\(890\) | −1.19705 | − | 1.38147i | −0.0401252 | − | 0.0463070i | ||||
\(891\) | −5.88917 | + | 2.68949i | −0.197295 | + | 0.0901015i | ||||
\(892\) | −1.48438 | − | 5.05534i | −0.0497007 | − | 0.169265i | ||||
\(893\) | 1.22476 | + | 0.559330i | 0.0409851 | + | 0.0187173i | ||||
\(894\) | −0.713983 | + | 4.96586i | −0.0238792 | + | 0.166083i | ||||
\(895\) | 56.0799 | − | 36.0404i | 1.87454 | − | 1.20470i | ||||
\(896\) | −17.6805 | + | 31.4656i | −0.590664 | + | 1.05119i | ||||
\(897\) | −0.362877 | + | 13.4097i | −0.0121161 | + | 0.447735i | ||||
\(898\) | 40.5975 | 1.35476 | ||||||||
\(899\) | −0.485256 | − | 0.755073i | −0.0161842 | − | 0.0251831i | ||||
\(900\) | 1.00274 | − | 6.97424i | 0.0334248 | − | 0.232475i | ||||
\(901\) | −5.46889 | − | 2.49756i | −0.182195 | − | 0.0832057i | ||||
\(902\) | 54.1681 | − | 15.9052i | 1.80360 | − | 0.529585i | ||||
\(903\) | −15.3992 | − | 1.28935i | −0.512453 | − | 0.0429070i | ||||
\(904\) | 1.93538 | − | 1.67702i | 0.0643699 | − | 0.0557768i | ||||
\(905\) | 2.23509 | + | 15.5454i | 0.0742967 | + | 0.516745i | ||||
\(906\) | −0.553431 | + | 1.88481i | −0.0183865 | + | 0.0626187i | ||||
\(907\) | −10.1487 | − | 8.79388i | −0.336981 | − | 0.291996i | 0.469888 | − | 0.882726i | \(-0.344294\pi\) |
−0.806869 | + | 0.590730i | \(0.798840\pi\) | |||||||
\(908\) | 10.1843 | + | 6.54505i | 0.337978 | + | 0.217205i | ||||
\(909\) | 0.692470 | − | 1.07750i | 0.0229678 | − | 0.0357386i | ||||
\(910\) | 47.9556 | − | 17.2266i | 1.58971 | − | 0.571057i | ||||
\(911\) | 2.53777 | − | 8.64287i | 0.0840802 | − | 0.286351i | −0.906710 | − | 0.421754i | \(-0.861415\pi\) |
0.990791 | + | 0.135403i | \(0.0432329\pi\) | |||||||
\(912\) | 16.0414 | − | 2.30641i | 0.531185 | − | 0.0763728i | ||||
\(913\) | 66.5728 | − | 57.6857i | 2.20324 | − | 1.90912i | ||||
\(914\) | −36.3500 | + | 16.6005i | −1.20235 | + | 0.549095i | ||||
\(915\) | −15.0694 | − | 51.3218i | −0.498180 | − | 1.69665i | ||||
\(916\) | −0.362524 | + | 0.793816i | −0.0119781 | + | 0.0262284i | ||||
\(917\) | −29.9892 | + | 39.0638i | −0.990332 | + | 1.29000i | ||||
\(918\) | −2.73672 | − | 4.25842i | −0.0903251 | − | 0.140549i | ||||
\(919\) | 12.2510i | 0.404122i | 0.979373 | + | 0.202061i | \(0.0647640\pi\) | ||||
−0.979373 | + | 0.202061i | \(0.935236\pi\) | |||||||
\(920\) | 15.1711 | − | 46.9321i | 0.500176 | − | 1.54731i | ||||
\(921\) | 17.4762 | 0.575861 | ||||||||
\(922\) | 16.5556 | + | 25.7610i | 0.545228 | + | 0.848392i | ||||
\(923\) | −15.2597 | − | 2.19401i | −0.502278 | − | 0.0722167i | ||||
\(924\) | −5.11287 | − | 7.00560i | −0.168201 | − | 0.230467i | ||||
\(925\) | 1.63786 | + | 5.57804i | 0.0538525 | + | 0.183405i | ||||
\(926\) | −8.37673 | − | 18.3425i | −0.275276 | − | 0.602771i | ||||
\(927\) | 7.67682 | + | 8.85952i | 0.252140 | + | 0.290985i | ||||
\(928\) | 0.342122 | + | 2.37951i | 0.0112307 | + | 0.0781113i | ||||
\(929\) | −4.35366 | + | 14.8272i | −0.142839 | + | 0.486465i | −0.999571 | − | 0.0292973i | \(-0.990673\pi\) |
0.856732 | + | 0.515762i | \(0.172491\pi\) | |||||||
\(930\) | −4.71458 | + | 5.44091i | −0.154597 | + | 0.178414i | ||||
\(931\) | 0.578773 | − | 23.8445i | 0.0189685 | − | 0.781472i | ||||
\(932\) | −1.25777 | − | 0.808322i | −0.0411997 | − | 0.0264775i | ||||
\(933\) | 15.2936 | − | 17.6498i | 0.500690 | − | 0.577827i | ||||
\(934\) | 25.7607 | + | 7.56402i | 0.842915 | + | 0.247502i | ||||
\(935\) | −89.1171 | + | 12.8131i | −2.91444 | + | 0.419033i | ||||
\(936\) | 4.99880 | − | 4.33148i | 0.163391 | − | 0.141579i | ||||
\(937\) | 12.9584 | + | 28.3750i | 0.423333 | + | 0.926970i | 0.994362 | + | 0.106040i | \(0.0338171\pi\) |
−0.571029 | + | 0.820930i | \(0.693456\pi\) | |||||||
\(938\) | −25.3717 | − | 5.84256i | −0.828414 | − | 0.190766i | ||||
\(939\) | −2.54165 | − | 1.16073i | −0.0829437 | − | 0.0378791i | ||||
\(940\) | 0.861325 | + | 0.123840i | 0.0280933 | + | 0.00403921i | ||||
\(941\) | −26.8264 | + | 17.2403i | −0.874515 | + | 0.562017i | −0.899131 | − | 0.437680i | \(-0.855800\pi\) |
0.0246157 | + | 0.999697i | \(0.492164\pi\) | |||||||
\(942\) | − | 5.55567i | − | 0.181014i | ||||||
\(943\) | −11.6194 | + | 23.7227i | −0.378378 | + | 0.772518i | ||||
\(944\) | − | 19.6540i | − | 0.639684i | ||||||
\(945\) | −11.4868 | + | 0.681573i | −0.373666 | + | 0.0221716i | ||||
\(946\) | 8.51968 | − | 59.2556i | 0.276999 | − | 1.92657i | ||||
\(947\) | −18.1126 | + | 39.6610i | −0.588580 | + | 1.28881i | 0.347717 | + | 0.937600i | \(0.386957\pi\) |
−0.936297 | + | 0.351210i | \(0.885770\pi\) | |||||||
\(948\) | −7.00061 | + | 2.05556i | −0.227369 | + | 0.0667616i | ||||
\(949\) | −9.90711 | − | 21.6935i | −0.321598 | − | 0.704202i | ||||
\(950\) | 49.1583 | + | 56.7317i | 1.59491 | + | 1.84062i | ||||
\(951\) | −10.1981 | + | 1.46626i | −0.330695 | + | 0.0475467i | ||||
\(952\) | −14.3159 | + | 13.9726i | −0.463980 | + | 0.452855i | ||||
\(953\) | −2.48557 | − | 2.15376i | −0.0805156 | − | 0.0697671i | 0.613673 | − | 0.789560i | \(-0.289691\pi\) |
−0.694189 | + | 0.719793i | \(0.744237\pi\) | |||||||
\(954\) | 1.60938 | − | 2.50424i | 0.0521056 | − | 0.0810779i | ||||
\(955\) | 22.9339 | − | 35.6858i | 0.742123 | − | 1.15477i | ||||
\(956\) | 4.19867 | − | 4.84552i | 0.135795 | − | 0.156715i | ||||
\(957\) | 5.33250 | + | 1.56576i | 0.172375 | + | 0.0506139i | ||||
\(958\) | 7.20191 | + | 50.0904i | 0.232683 | + | 1.61835i | ||||
\(959\) | 2.47094 | + | 12.0615i | 0.0797909 | + | 0.389487i | ||||
\(960\) | −20.0938 | + | 9.17651i | −0.648523 | + | 0.296171i | ||||
\(961\) | −28.6953 | + | 8.42570i | −0.925655 | + | 0.271797i | ||||
\(962\) | 0.768498 | − | 1.68278i | 0.0247774 | − | 0.0542549i | ||||
\(963\) | −4.53829 | − | 0.652508i | −0.146244 | − | 0.0210268i | ||||
\(964\) | −7.11824 | + | 4.57461i | −0.229263 | + | 0.147338i | ||||
\(965\) | 43.4923 | 1.40007 | ||||||||
\(966\) | 19.9651 | + | 2.21694i | 0.642365 | + | 0.0713289i | ||||
\(967\) | 31.2149 | 1.00380 | 0.501902 | − | 0.864925i | \(-0.332634\pi\) | ||||
0.501902 | + | 0.864925i | \(0.332634\pi\) | |||||||
\(968\) | −61.5009 | + | 39.5242i | −1.97671 | + | 1.27036i | ||||
\(969\) | 10.7839 | + | 1.55050i | 0.346430 | + | 0.0498092i | ||||
\(970\) | −25.5475 | + | 55.9412i | −0.820281 | + | 1.79616i | ||||
\(971\) | 27.3830 | − | 8.04038i | 0.878763 | − | 0.258028i | 0.188925 | − | 0.981992i | \(-0.439500\pi\) |
0.689838 | + | 0.723963i | \(0.257682\pi\) | |||||||
\(972\) | 0.460569 | − | 0.210335i | 0.0147728 | − | 0.00674649i | ||||
\(973\) | 1.77158 | + | 8.64770i | 0.0567942 | + | 0.277233i | ||||
\(974\) | −5.51007 | − | 38.3234i | −0.176554 | − | 1.22796i | ||||
\(975\) | 37.3478 | + | 10.9663i | 1.19609 | + | 0.351203i | ||||
\(976\) | 38.3057 | − | 44.2071i | 1.22614 | − | 1.41504i | ||||
\(977\) | −22.7969 | + | 35.4727i | −0.729337 | + | 1.13487i | 0.256399 | + | 0.966571i | \(0.417464\pi\) |
−0.985736 | + | 0.168300i | \(0.946172\pi\) | |||||||
\(978\) | 0.621368 | − | 0.966867i | 0.0198692 | − | 0.0309170i | ||||
\(979\) | −1.29897 | − | 1.12556i | −0.0415152 | − | 0.0359731i | ||||
\(980\) | −3.98270 | − | 14.8915i | −0.127223 | − | 0.475692i | ||||
\(981\) | −14.0803 | + | 2.02445i | −0.449551 | + | 0.0646356i | ||||
\(982\) | −11.6122 | − | 13.4012i | −0.370559 | − | 0.427648i | ||||
\(983\) | 19.7856 | + | 43.3243i | 0.631061 | + | 1.38183i | 0.907194 | + | 0.420712i | \(0.138220\pi\) |
−0.276133 | + | 0.961120i | \(0.589053\pi\) | |||||||
\(984\) | 12.4972 | − | 3.66949i | 0.398395 | − | 0.116979i | ||||
\(985\) | −0.476560 | + | 1.04352i | −0.0151845 | + | 0.0332493i | ||||
\(986\) | −0.618403 | + | 4.30109i | −0.0196940 | + | 0.136975i | ||||
\(987\) | −0.0619251 | − | 1.04365i | −0.00197110 | − | 0.0332197i | ||||
\(988\) | − | 4.82570i | − | 0.153526i | ||||||
\(989\) | 17.7640 | + | 21.6578i | 0.564862 | + | 0.688678i | ||||
\(990\) | − | 44.5780i | − | 1.41678i | ||||||
\(991\) | −9.63750 | + | 6.19365i | −0.306145 | + | 0.196748i | −0.684688 | − | 0.728836i | \(-0.740062\pi\) |
0.378543 | + | 0.925584i | \(0.376425\pi\) | |||||||
\(992\) | −2.89834 | − | 0.416718i | −0.0920223 | − | 0.0132308i | ||||
\(993\) | −14.0304 | − | 6.40748i | −0.445242 | − | 0.203335i | ||||
\(994\) | −5.18057 | + | 22.4969i | −0.164318 | + | 0.713559i | ||||
\(995\) | −14.6401 | − | 32.0573i | −0.464121 | − | 1.01628i | ||||
\(996\) | −5.20640 | + | 4.51137i | −0.164971 | + | 0.142948i | ||||
\(997\) | 0.0998935 | − | 0.0143625i | 0.00316366 | − | 0.000454866i | −0.140733 | − | 0.990048i | \(-0.544946\pi\) |
0.143896 | + | 0.989593i | \(0.454037\pi\) | |||||||
\(998\) | −37.8762 | − | 11.1215i | −1.19895 | − | 0.352044i | ||||
\(999\) | −0.273576 | + | 0.315724i | −0.00865556 | + | 0.00998905i |
(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 | 483.2.r.a.34.8 | yes | 320 | |
7.6 | odd | 2 | inner | 483.2.r.a.34.7 | ✓ | 320 | |
23.21 | odd | 22 | inner | 483.2.r.a.412.7 | yes | 320 | |
161.90 | even | 22 | inner | 483.2.r.a.412.8 | yes | 320 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.r.a.34.7 | ✓ | 320 | 7.6 | odd | 2 | inner | |
483.2.r.a.34.8 | yes | 320 | 1.1 | even | 1 | trivial | |
483.2.r.a.412.7 | yes | 320 | 23.21 | odd | 22 | inner | |
483.2.r.a.412.8 | yes | 320 | 161.90 | even | 22 | inner |