Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [41,2,Mod(2,41)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(41, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("41.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 41 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 41.g (of order \(20\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.327386648287\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 36.2 | ||
Character | \(\chi\) | \(=\) | 41.36 |
Dual form | 41.2.g.a.8.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/41\mathbb{Z}\right)^\times\).
\(n\) | \(6\) |
\(\chi(n)\) | \(e\left(\frac{1}{20}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.415383 | − | 0.571726i | −0.293720 | − | 0.404272i | 0.636498 | − | 0.771279i | \(-0.280382\pi\) |
−0.930218 | + | 0.367007i | \(0.880382\pi\) | |||||||
\(3\) | −0.242613 | + | 0.242613i | −0.140073 | + | 0.140073i | −0.773666 | − | 0.633594i | \(-0.781579\pi\) |
0.633594 | + | 0.773666i | \(0.281579\pi\) | |||||||
\(4\) | 0.463706 | − | 1.42714i | 0.231853 | − | 0.713571i | ||||
\(5\) | 2.26179 | + | 0.734900i | 1.01150 | + | 0.328657i | 0.767453 | − | 0.641105i | \(-0.221524\pi\) |
0.244050 | + | 0.969763i | \(0.421524\pi\) | |||||||
\(6\) | 0.239486 | + | 0.0379308i | 0.0977696 | + | 0.0154852i | ||||
\(7\) | −4.85225 | + | 0.768522i | −1.83398 | + | 0.290474i | −0.975110 | − | 0.221720i | \(-0.928833\pi\) |
−0.858870 | + | 0.512194i | \(0.828833\pi\) | |||||||
\(8\) | −2.35276 | + | 0.764458i | −0.831826 | + | 0.270277i | ||||
\(9\) | 2.88228i | 0.960759i | ||||||||
\(10\) | −0.519348 | − | 1.59839i | −0.164232 | − | 0.505455i | ||||
\(11\) | 1.51881 | + | 0.773870i | 0.457937 | + | 0.233331i | 0.667713 | − | 0.744419i | \(-0.267273\pi\) |
−0.209776 | + | 0.977750i | \(0.567273\pi\) | |||||||
\(12\) | 0.233742 | + | 0.458744i | 0.0674755 | + | 0.132428i | ||||
\(13\) | 0.621065 | − | 3.92125i | 0.172253 | − | 1.08756i | −0.738393 | − | 0.674371i | \(-0.764415\pi\) |
0.910645 | − | 0.413189i | \(-0.135585\pi\) | |||||||
\(14\) | 2.45493 | + | 2.45493i | 0.656108 | + | 0.656108i | ||||
\(15\) | −0.727035 | + | 0.370443i | −0.187720 | + | 0.0956480i | ||||
\(16\) | −1.01364 | − | 0.736453i | −0.253410 | − | 0.184113i | ||||
\(17\) | −1.24719 | + | 2.44775i | −0.302488 | + | 0.593667i | −0.991353 | − | 0.131223i | \(-0.958110\pi\) |
0.688864 | + | 0.724890i | \(0.258110\pi\) | |||||||
\(18\) | 1.64787 | − | 1.19725i | 0.388408 | − | 0.282195i | ||||
\(19\) | −0.150964 | − | 0.953149i | −0.0346335 | − | 0.218667i | 0.964301 | − | 0.264807i | \(-0.0853082\pi\) |
−0.998935 | + | 0.0461393i | \(0.985308\pi\) | |||||||
\(20\) | 2.09761 | − | 2.88712i | 0.469040 | − | 0.645579i | ||||
\(21\) | 0.990766 | − | 1.36367i | 0.216203 | − | 0.297578i | ||||
\(22\) | −0.188445 | − | 1.18979i | −0.0401766 | − | 0.253665i | ||||
\(23\) | 5.46604 | − | 3.97131i | 1.13975 | − | 0.828075i | 0.152664 | − | 0.988278i | \(-0.451215\pi\) |
0.987084 | + | 0.160203i | \(0.0512148\pi\) | |||||||
\(24\) | 0.385342 | − | 0.756277i | 0.0786577 | − | 0.154374i | ||||
\(25\) | 0.530527 | + | 0.385451i | 0.106105 | + | 0.0770902i | ||||
\(26\) | −2.49986 | + | 1.27374i | −0.490264 | + | 0.249802i | ||||
\(27\) | −1.42712 | − | 1.42712i | −0.274649 | − | 0.274649i | ||||
\(28\) | −1.15323 | + | 7.28122i | −0.217940 | + | 1.37602i | ||||
\(29\) | 0.230233 | + | 0.451858i | 0.0427532 | + | 0.0839080i | 0.911395 | − | 0.411533i | \(-0.135007\pi\) |
−0.868642 | + | 0.495441i | \(0.835007\pi\) | |||||||
\(30\) | 0.513791 | + | 0.261789i | 0.0938049 | + | 0.0477960i | ||||
\(31\) | 0.182364 | + | 0.561259i | 0.0327536 | + | 0.100805i | 0.966097 | − | 0.258180i | \(-0.0831228\pi\) |
−0.933343 | + | 0.358985i | \(0.883123\pi\) | |||||||
\(32\) | 5.83311i | 1.03116i | ||||||||
\(33\) | −0.556233 | + | 0.180731i | −0.0968277 | + | 0.0314612i | ||||
\(34\) | 1.91751 | − | 0.303703i | 0.328850 | − | 0.0520847i | ||||
\(35\) | −11.5396 | − | 1.82769i | −1.95054 | − | 0.308936i | ||||
\(36\) | 4.11342 | + | 1.33653i | 0.685570 | + | 0.222755i | ||||
\(37\) | 1.31461 | − | 4.04595i | 0.216120 | − | 0.665150i | −0.782952 | − | 0.622082i | \(-0.786287\pi\) |
0.999072 | − | 0.0430675i | \(-0.0137130\pi\) | |||||||
\(38\) | −0.482233 | + | 0.482233i | −0.0782285 | + | 0.0782285i | ||||
\(39\) | 0.800668 | + | 1.10202i | 0.128209 | + | 0.176465i | ||||
\(40\) | −5.88325 | −0.930223 | ||||||||
\(41\) | −4.01905 | − | 4.98470i | −0.627670 | − | 0.778479i | ||||
\(42\) | −1.19120 | −0.183805 | ||||||||
\(43\) | 3.16632 | + | 4.35807i | 0.482860 | + | 0.664599i | 0.979051 | − | 0.203614i | \(-0.0652686\pi\) |
−0.496192 | + | 0.868213i | \(0.665269\pi\) | |||||||
\(44\) | 1.80870 | − | 1.80870i | 0.272672 | − | 0.272672i | ||||
\(45\) | −2.11819 | + | 6.51911i | −0.315760 | + | 0.971811i | ||||
\(46\) | −4.54100 | − | 1.47546i | −0.669535 | − | 0.217545i | ||||
\(47\) | −4.96501 | − | 0.786381i | −0.724221 | − | 0.114705i | −0.216569 | − | 0.976267i | \(-0.569487\pi\) |
−0.507652 | + | 0.861562i | \(0.669487\pi\) | |||||||
\(48\) | 0.424595 | − | 0.0672493i | 0.0612850 | − | 0.00970660i | ||||
\(49\) | 16.2964 | − | 5.29501i | 2.32805 | − | 0.756430i | ||||
\(50\) | − | 0.463426i | − | 0.0655384i | ||||||
\(51\) | −0.291271 | − | 0.896441i | −0.0407861 | − | 0.125527i | ||||
\(52\) | −5.30819 | − | 2.70466i | −0.736114 | − | 0.375069i | ||||
\(53\) | 3.46320 | + | 6.79691i | 0.475707 | + | 0.933628i | 0.996785 | + | 0.0801188i | \(0.0255300\pi\) |
−0.521078 | + | 0.853509i | \(0.674470\pi\) | |||||||
\(54\) | −0.223119 | + | 1.40872i | −0.0303627 | + | 0.191703i | ||||
\(55\) | 2.86650 | + | 2.86650i | 0.386519 | + | 0.386519i | ||||
\(56\) | 10.8287 | − | 5.51749i | 1.44704 | − | 0.737306i | ||||
\(57\) | 0.267872 | + | 0.194620i | 0.0354805 | + | 0.0257781i | ||||
\(58\) | 0.162704 | − | 0.319325i | 0.0213641 | − | 0.0419294i | ||||
\(59\) | −6.81790 | + | 4.95350i | −0.887616 | + | 0.644890i | −0.935255 | − | 0.353974i | \(-0.884830\pi\) |
0.0476396 | + | 0.998865i | \(0.484830\pi\) | |||||||
\(60\) | 0.191544 | + | 1.20936i | 0.0247282 | + | 0.156128i | ||||
\(61\) | 0.408684 | − | 0.562505i | 0.0523266 | − | 0.0720214i | −0.782052 | − | 0.623213i | \(-0.785827\pi\) |
0.834378 | + | 0.551192i | \(0.185827\pi\) | |||||||
\(62\) | 0.245135 | − | 0.337400i | 0.0311322 | − | 0.0428499i | ||||
\(63\) | −2.21509 | − | 13.9855i | −0.279075 | − | 1.76201i | ||||
\(64\) | 1.30766 | − | 0.950072i | 0.163458 | − | 0.118759i | ||||
\(65\) | 4.28645 | − | 8.41262i | 0.531668 | − | 1.04346i | ||||
\(66\) | 0.334379 | + | 0.242940i | 0.0411592 | + | 0.0299039i | ||||
\(67\) | −3.63545 | + | 1.85235i | −0.444141 | + | 0.226301i | −0.661734 | − | 0.749738i | \(-0.730179\pi\) |
0.217594 | + | 0.976039i | \(0.430179\pi\) | |||||||
\(68\) | 2.91496 | + | 2.91496i | 0.353491 | + | 0.353491i | ||||
\(69\) | −0.362641 | + | 2.28962i | −0.0436568 | + | 0.275638i | ||||
\(70\) | 3.74841 | + | 7.35666i | 0.448020 | + | 0.879289i | ||||
\(71\) | 6.47886 | + | 3.30115i | 0.768900 | + | 0.391774i | 0.794005 | − | 0.607911i | \(-0.207992\pi\) |
−0.0251057 | + | 0.999685i | \(0.507992\pi\) | |||||||
\(72\) | −2.20338 | − | 6.78131i | −0.259671 | − | 0.799185i | ||||
\(73\) | 9.72685i | 1.13844i | 0.822185 | + | 0.569221i | \(0.192755\pi\) | ||||
−0.822185 | + | 0.569221i | \(0.807245\pi\) | |||||||
\(74\) | −2.85924 | + | 0.929024i | −0.332380 | + | 0.107997i | ||||
\(75\) | −0.222228 | + | 0.0351975i | −0.0256607 | + | 0.00406425i | ||||
\(76\) | −1.43028 | − | 0.226534i | −0.164065 | − | 0.0259853i | ||||
\(77\) | −7.96437 | − | 2.58778i | −0.907624 | − | 0.294905i | ||||
\(78\) | 0.297472 | − | 0.915526i | 0.0336821 | − | 0.103663i | ||||
\(79\) | 6.15477 | − | 6.15477i | 0.692465 | − | 0.692465i | −0.270309 | − | 0.962774i | \(-0.587126\pi\) |
0.962774 | + | 0.270309i | \(0.0871257\pi\) | |||||||
\(80\) | −1.75142 | − | 2.41063i | −0.195815 | − | 0.269516i | ||||
\(81\) | −7.95436 | −0.883818 | ||||||||
\(82\) | −1.18044 | + | 4.36836i | −0.130358 | + | 0.482405i | ||||
\(83\) | 4.81920 | 0.528976 | 0.264488 | − | 0.964389i | \(-0.414797\pi\) | ||||
0.264488 | + | 0.964389i | \(0.414797\pi\) | |||||||
\(84\) | −1.48673 | − | 2.04631i | −0.162216 | − | 0.223271i | ||||
\(85\) | −4.61974 | + | 4.61974i | −0.501081 | + | 0.501081i | ||||
\(86\) | 1.17638 | − | 3.62054i | 0.126853 | − | 0.390413i | ||||
\(87\) | −0.165484 | − | 0.0537691i | −0.0177418 | − | 0.00576465i | ||||
\(88\) | −4.16498 | − | 0.659667i | −0.443988 | − | 0.0703208i | ||||
\(89\) | −3.63773 | + | 0.576160i | −0.385598 | + | 0.0610728i | −0.346224 | − | 0.938152i | \(-0.612536\pi\) |
−0.0393741 | + | 0.999225i | \(0.512536\pi\) | |||||||
\(90\) | 4.60700 | − | 1.49691i | 0.485621 | − | 0.157788i | ||||
\(91\) | 19.5042i | 2.04460i | ||||||||
\(92\) | −3.13298 | − | 9.64234i | −0.326636 | − | 1.00528i | ||||
\(93\) | −0.180413 | − | 0.0919248i | −0.0187079 | − | 0.00953216i | ||||
\(94\) | 1.61279 | + | 3.16528i | 0.166346 | + | 0.326473i | ||||
\(95\) | 0.359020 | − | 2.26677i | 0.0368347 | − | 0.232565i | ||||
\(96\) | −1.41519 | − | 1.41519i | −0.144437 | − | 0.144437i | ||||
\(97\) | −3.63700 | + | 1.85314i | −0.369281 | + | 0.188158i | −0.628776 | − | 0.777586i | \(-0.716444\pi\) |
0.259495 | + | 0.965744i | \(0.416444\pi\) | |||||||
\(98\) | −9.79653 | − | 7.11760i | −0.989599 | − | 0.718986i | ||||
\(99\) | −2.23051 | + | 4.37762i | −0.224175 | + | 0.439967i | ||||
\(100\) | 0.796102 | − | 0.578402i | 0.0796102 | − | 0.0578402i | ||||
\(101\) | 1.63009 | + | 10.2920i | 0.162200 | + | 1.02409i | 0.925693 | + | 0.378274i | \(0.123482\pi\) |
−0.763494 | + | 0.645815i | \(0.776518\pi\) | |||||||
\(102\) | −0.391530 | + | 0.538894i | −0.0387672 | + | 0.0533585i | ||||
\(103\) | −0.240884 | + | 0.331548i | −0.0237350 | + | 0.0326684i | −0.820720 | − | 0.571331i | \(-0.806427\pi\) |
0.796985 | + | 0.604000i | \(0.206427\pi\) | |||||||
\(104\) | 1.53641 | + | 9.70054i | 0.150658 | + | 0.951216i | ||||
\(105\) | 3.24307 | − | 2.35623i | 0.316491 | − | 0.229944i | ||||
\(106\) | 2.44742 | − | 4.80333i | 0.237714 | − | 0.466540i | ||||
\(107\) | 11.3095 | + | 8.21683i | 1.09333 | + | 0.794351i | 0.979959 | − | 0.199202i | \(-0.0638348\pi\) |
0.113372 | + | 0.993553i | \(0.463835\pi\) | |||||||
\(108\) | −2.69846 | + | 1.37493i | −0.259660 | + | 0.132303i | ||||
\(109\) | −10.8428 | − | 10.8428i | −1.03855 | − | 1.03855i | −0.999226 | − | 0.0393244i | \(-0.987479\pi\) |
−0.0393244 | − | 0.999226i | \(-0.512521\pi\) | |||||||
\(110\) | 0.448157 | − | 2.82955i | 0.0427301 | − | 0.269787i | ||||
\(111\) | 0.662658 | + | 1.30054i | 0.0628967 | + | 0.123442i | ||||
\(112\) | 5.48442 | + | 2.79445i | 0.518229 | + | 0.264051i | ||||
\(113\) | −2.49191 | − | 7.66931i | −0.234419 | − | 0.721468i | −0.997198 | − | 0.0748085i | \(-0.976165\pi\) |
0.762779 | − | 0.646660i | \(-0.223835\pi\) | |||||||
\(114\) | − | 0.233992i | − | 0.0219153i | ||||||
\(115\) | 15.2815 | − | 4.96527i | 1.42501 | − | 0.463014i | ||||
\(116\) | 0.751626 | − | 0.119046i | 0.0697867 | − | 0.0110531i | ||||
\(117\) | 11.3021 | + | 1.79008i | 1.04488 | + | 0.165493i | ||||
\(118\) | 5.66409 | + | 1.84037i | 0.521422 | + | 0.169420i | ||||
\(119\) | 4.17054 | − | 12.8356i | 0.382313 | − | 1.17664i | ||||
\(120\) | 1.42735 | − | 1.42735i | 0.130299 | − | 0.130299i | ||||
\(121\) | −4.75774 | − | 6.54847i | −0.432522 | − | 0.595315i | ||||
\(122\) | −0.491360 | −0.0444856 | ||||||||
\(123\) | 2.18443 | + | 0.234279i | 0.196963 | + | 0.0211243i | ||||
\(124\) | 0.885560 | 0.0795256 | ||||||||
\(125\) | −6.07264 | − | 8.35827i | −0.543153 | − | 0.747586i | ||||
\(126\) | −7.07579 | + | 7.07579i | −0.630362 | + | 0.630362i | ||||
\(127\) | 3.32547 | − | 10.2347i | 0.295087 | − | 0.908186i | −0.688105 | − | 0.725612i | \(-0.741557\pi\) |
0.983192 | − | 0.182574i | \(-0.0584430\pi\) | |||||||
\(128\) | 10.0089 | + | 3.25208i | 0.884668 | + | 0.287446i | ||||
\(129\) | −1.82551 | − | 0.289133i | −0.160728 | − | 0.0254568i | ||||
\(130\) | −6.59024 | + | 1.04379i | −0.578002 | + | 0.0915465i | ||||
\(131\) | −15.4682 | + | 5.02592i | −1.35146 | + | 0.439116i | −0.893184 | − | 0.449692i | \(-0.851534\pi\) |
−0.458278 | + | 0.888809i | \(0.651534\pi\) | |||||||
\(132\) | 0.877629i | 0.0763878i | ||||||||
\(133\) | 1.46503 | + | 4.50890i | 0.127034 | + | 0.390972i | ||||
\(134\) | 2.56914 | + | 1.30904i | 0.221940 | + | 0.113084i | ||||
\(135\) | −2.17905 | − | 4.27662i | −0.187543 | − | 0.368073i | ||||
\(136\) | 1.06314 | − | 6.71240i | 0.0911634 | − | 0.575583i | ||||
\(137\) | 12.5397 | + | 12.5397i | 1.07134 | + | 1.07134i | 0.997252 | + | 0.0740834i | \(0.0236031\pi\) |
0.0740834 | + | 0.997252i | \(0.476397\pi\) | |||||||
\(138\) | 1.45967 | − | 0.743740i | 0.124256 | − | 0.0633114i | ||||
\(139\) | 1.72343 | + | 1.25214i | 0.146179 | + | 0.106206i | 0.658471 | − | 0.752606i | \(-0.271203\pi\) |
−0.512292 | + | 0.858811i | \(0.671203\pi\) | |||||||
\(140\) | −7.95934 | + | 15.6211i | −0.672687 | + | 1.32022i | ||||
\(141\) | 1.39536 | − | 1.01379i | 0.117511 | − | 0.0853765i | ||||
\(142\) | −0.803861 | − | 5.07538i | −0.0674585 | − | 0.425916i | ||||
\(143\) | 3.97782 | − | 5.47500i | 0.332642 | − | 0.457842i | ||||
\(144\) | 2.12266 | − | 2.92159i | 0.176888 | − | 0.243466i | ||||
\(145\) | 0.188669 | + | 1.19121i | 0.0156681 | + | 0.0989243i | ||||
\(146\) | 5.56110 | − | 4.04037i | 0.460240 | − | 0.334384i | ||||
\(147\) | −2.66907 | + | 5.23834i | −0.220141 | + | 0.432051i | ||||
\(148\) | −5.16455 | − | 3.75226i | −0.424523 | − | 0.308434i | ||||
\(149\) | −1.35193 | + | 0.688843i | −0.110754 | + | 0.0564322i | −0.508490 | − | 0.861068i | \(-0.669796\pi\) |
0.397736 | + | 0.917500i | \(0.369796\pi\) | |||||||
\(150\) | 0.112433 | + | 0.112433i | 0.00918013 | + | 0.00918013i | ||||
\(151\) | 0.327873 | − | 2.07011i | 0.0266819 | − | 0.168463i | −0.970749 | − | 0.240096i | \(-0.922821\pi\) |
0.997431 | + | 0.0716330i | \(0.0228210\pi\) | |||||||
\(152\) | 1.08382 | + | 2.12713i | 0.0879098 | + | 0.172533i | ||||
\(153\) | −7.05510 | − | 3.59475i | −0.570371 | − | 0.290619i | ||||
\(154\) | 1.82877 | + | 5.62836i | 0.147366 | + | 0.453546i | ||||
\(155\) | 1.40347i | 0.112729i | ||||||||
\(156\) | 1.94402 | − | 0.631651i | 0.155646 | − | 0.0505725i | ||||
\(157\) | −6.82911 | + | 1.08163i | −0.545023 | + | 0.0863231i | −0.422874 | − | 0.906189i | \(-0.638979\pi\) |
−0.122149 | + | 0.992512i | \(0.538979\pi\) | |||||||
\(158\) | −6.07543 | − | 0.962253i | −0.483335 | − | 0.0765528i | ||||
\(159\) | −2.48924 | − | 0.808802i | −0.197409 | − | 0.0641421i | ||||
\(160\) | −4.28675 | + | 13.1933i | −0.338898 | + | 1.04302i | ||||
\(161\) | −23.4706 | + | 23.4706i | −1.84974 | + | 1.84974i | ||||
\(162\) | 3.30411 | + | 4.54772i | 0.259595 | + | 0.357302i | ||||
\(163\) | −7.72291 | −0.604905 | −0.302453 | − | 0.953164i | \(-0.597805\pi\) | ||||
−0.302453 | + | 0.953164i | \(0.597805\pi\) | |||||||
\(164\) | −8.97753 | + | 3.42432i | −0.701028 | + | 0.267394i | ||||
\(165\) | −1.39090 | −0.108281 | ||||||||
\(166\) | −2.00182 | − | 2.75526i | −0.155371 | − | 0.213850i | ||||
\(167\) | 13.4205 | − | 13.4205i | 1.03851 | − | 1.03851i | 0.0392793 | − | 0.999228i | \(-0.487494\pi\) |
0.999228 | − | 0.0392793i | \(-0.0125062\pi\) | |||||||
\(168\) | −1.28856 | + | 3.96579i | −0.0994149 | + | 0.305968i | ||||
\(169\) | −2.62676 | − | 0.853486i | −0.202059 | − | 0.0656528i | ||||
\(170\) | 4.56019 | + | 0.722263i | 0.349750 | + | 0.0553950i | ||||
\(171\) | 2.74724 | − | 0.435120i | 0.210087 | − | 0.0332745i | ||||
\(172\) | 7.68783 | − | 2.49793i | 0.586191 | − | 0.190465i | ||||
\(173\) | − | 12.9720i | − | 0.986242i | −0.869961 | − | 0.493121i | \(-0.835856\pi\) | ||
0.869961 | − | 0.493121i | \(-0.164144\pi\) | |||||||
\(174\) | 0.0379982 | + | 0.116946i | 0.00288064 | + | 0.00886569i | ||||
\(175\) | −2.87048 | − | 1.46258i | −0.216988 | − | 0.110561i | ||||
\(176\) | −0.969604 | − | 1.90295i | −0.0730867 | − | 0.143441i | ||||
\(177\) | 0.452329 | − | 2.85589i | 0.0339991 | − | 0.214662i | ||||
\(178\) | 1.84046 | + | 1.84046i | 0.137948 | + | 0.137948i | ||||
\(179\) | 0.493180 | − | 0.251288i | 0.0368620 | − | 0.0187821i | −0.435462 | − | 0.900207i | \(-0.643415\pi\) |
0.472324 | + | 0.881425i | \(0.343415\pi\) | |||||||
\(180\) | 8.32147 | + | 6.04590i | 0.620246 | + | 0.450635i | ||||
\(181\) | 10.9072 | − | 21.4065i | 0.810723 | − | 1.59113i | 0.00415439 | − | 0.999991i | \(-0.498678\pi\) |
0.806568 | − | 0.591141i | \(-0.201322\pi\) | |||||||
\(182\) | 11.1511 | − | 8.10173i | 0.826573 | − | 0.600540i | ||||
\(183\) | 0.0373190 | + | 0.235623i | 0.00275870 | + | 0.0174178i | ||||
\(184\) | −9.82438 | + | 13.5221i | −0.724263 | + | 0.996862i | ||||
\(185\) | 5.94673 | − | 8.18497i | 0.437212 | − | 0.601771i | ||||
\(186\) | 0.0223846 | + | 0.141331i | 0.00164132 | + | 0.0103629i | ||||
\(187\) | −3.78848 | + | 2.75249i | −0.277041 | + | 0.201282i | ||||
\(188\) | −3.42458 | + | 6.72112i | −0.249763 | + | 0.490188i | ||||
\(189\) | 8.02150 | + | 5.82796i | 0.583478 | + | 0.423922i | ||||
\(190\) | −1.44510 | + | 0.736316i | −0.104839 | + | 0.0534180i | ||||
\(191\) | 8.79132 | + | 8.79132i | 0.636118 | + | 0.636118i | 0.949596 | − | 0.313478i | \(-0.101494\pi\) |
−0.313478 | + | 0.949596i | \(0.601494\pi\) | |||||||
\(192\) | −0.0867559 | + | 0.547755i | −0.00626107 | + | 0.0395308i | ||||
\(193\) | −1.47698 | − | 2.89873i | −0.106315 | − | 0.208655i | 0.831720 | − | 0.555195i | \(-0.187357\pi\) |
−0.938035 | + | 0.346540i | \(0.887357\pi\) | |||||||
\(194\) | 2.57024 | + | 1.30960i | 0.184533 | + | 0.0940240i | ||||
\(195\) | 1.00106 | + | 3.08096i | 0.0716877 | + | 0.220632i | ||||
\(196\) | − | 25.7125i | − | 1.83661i | ||||||
\(197\) | −12.8789 | + | 4.18462i | −0.917586 | + | 0.298142i | −0.729476 | − | 0.684006i | \(-0.760236\pi\) |
−0.188110 | + | 0.982148i | \(0.560236\pi\) | |||||||
\(198\) | 3.42932 | − | 0.543150i | 0.243711 | − | 0.0386000i | ||||
\(199\) | −9.16208 | − | 1.45113i | −0.649483 | − | 0.102868i | −0.177004 | − | 0.984210i | \(-0.556641\pi\) |
−0.472479 | + | 0.881342i | \(0.656641\pi\) | |||||||
\(200\) | −1.54286 | − | 0.501307i | −0.109097 | − | 0.0354478i | ||||
\(201\) | 0.432602 | − | 1.33141i | 0.0305134 | − | 0.0939105i | ||||
\(202\) | 5.20708 | − | 5.20708i | 0.366369 | − | 0.366369i | ||||
\(203\) | −1.46441 | − | 2.01559i | −0.102782 | − | 0.141467i | ||||
\(204\) | −1.41441 | −0.0990287 | ||||||||
\(205\) | −5.42699 | − | 14.2279i | −0.379037 | − | 0.993722i | ||||
\(206\) | 0.289614 | 0.0201784 | ||||||||
\(207\) | 11.4464 | + | 15.7546i | 0.795581 | + | 1.09502i | ||||
\(208\) | −3.51735 | + | 3.51735i | −0.243885 | + | 0.243885i | ||||
\(209\) | 0.508329 | − | 1.56448i | 0.0351618 | − | 0.108217i | ||||
\(210\) | −2.69423 | − | 0.875409i | −0.185920 | − | 0.0604090i | ||||
\(211\) | 26.8855 | + | 4.25824i | 1.85087 | + | 0.293149i | 0.980095 | − | 0.198529i | \(-0.0636163\pi\) |
0.870777 | + | 0.491678i | \(0.163616\pi\) | |||||||
\(212\) | 11.3061 | − | 1.79070i | 0.776504 | − | 0.122986i | ||||
\(213\) | −2.37276 | + | 0.770955i | −0.162579 | + | 0.0528250i | ||||
\(214\) | − | 9.87907i | − | 0.675320i | ||||||
\(215\) | 3.95881 | + | 12.1840i | 0.269989 | + | 0.830940i | ||||
\(216\) | 4.44863 | + | 2.26669i | 0.302691 | + | 0.154229i | ||||
\(217\) | −1.31622 | − | 2.58322i | −0.0893506 | − | 0.175360i | ||||
\(218\) | −1.69519 | + | 10.7030i | −0.114813 | + | 0.724900i | ||||
\(219\) | −2.35986 | − | 2.35986i | −0.159465 | − | 0.159465i | ||||
\(220\) | 5.42012 | − | 2.76169i | 0.365424 | − | 0.186193i | ||||
\(221\) | 8.82366 | + | 6.41077i | 0.593544 | + | 0.431235i | ||||
\(222\) | 0.468296 | − | 0.919082i | 0.0314299 | − | 0.0616847i | ||||
\(223\) | −7.71095 | + | 5.60233i | −0.516363 | + | 0.375160i | −0.815232 | − | 0.579134i | \(-0.803391\pi\) |
0.298869 | + | 0.954294i | \(0.403391\pi\) | |||||||
\(224\) | −4.48287 | − | 28.3037i | −0.299524 | − | 1.89112i | ||||
\(225\) | −1.11098 | + | 1.52913i | −0.0740651 | + | 0.101942i | ||||
\(226\) | −3.34965 | + | 4.61040i | −0.222815 | + | 0.306679i | ||||
\(227\) | −0.238184 | − | 1.50383i | −0.0158088 | − | 0.0998130i | 0.978522 | − | 0.206141i | \(-0.0660906\pi\) |
−0.994331 | + | 0.106328i | \(0.966091\pi\) | |||||||
\(228\) | 0.401965 | − | 0.292045i | 0.0266208 | − | 0.0193411i | ||||
\(229\) | −6.69218 | + | 13.1341i | −0.442232 | + | 0.867929i | 0.557066 | + | 0.830468i | \(0.311927\pi\) |
−0.999298 | + | 0.0374606i | \(0.988073\pi\) | |||||||
\(230\) | −9.18648 | − | 6.67437i | −0.605738 | − | 0.440095i | ||||
\(231\) | 2.56009 | − | 1.30443i | 0.168441 | − | 0.0858252i | ||||
\(232\) | −0.887110 | − | 0.887110i | −0.0582416 | − | 0.0582416i | ||||
\(233\) | −2.32886 | + | 14.7039i | −0.152569 | + | 0.963282i | 0.786009 | + | 0.618215i | \(0.212144\pi\) |
−0.938578 | + | 0.345067i | \(0.887856\pi\) | |||||||
\(234\) | −3.67128 | − | 7.20530i | −0.239999 | − | 0.471025i | ||||
\(235\) | −10.6519 | − | 5.42741i | −0.694853 | − | 0.354045i | ||||
\(236\) | 3.90784 | + | 12.0271i | 0.254379 | + | 0.782897i | ||||
\(237\) | 2.98645i | 0.193991i | ||||||||
\(238\) | −9.07083 | + | 2.94729i | −0.587974 | + | 0.191044i | ||||
\(239\) | −13.2085 | + | 2.09203i | −0.854390 | + | 0.135322i | −0.568240 | − | 0.822863i | \(-0.692375\pi\) |
−0.286150 | + | 0.958185i | \(0.592375\pi\) | |||||||
\(240\) | 1.00977 | + | 0.159931i | 0.0651801 | + | 0.0103235i | ||||
\(241\) | −3.79971 | − | 1.23460i | −0.244761 | − | 0.0795276i | 0.184068 | − | 0.982914i | \(-0.441073\pi\) |
−0.428828 | + | 0.903386i | \(0.641073\pi\) | |||||||
\(242\) | −1.76765 | + | 5.44025i | −0.113629 | + | 0.349713i | ||||
\(243\) | 6.21118 | − | 6.21118i | 0.398447 | − | 0.398447i | ||||
\(244\) | −0.613265 | − | 0.844087i | −0.0392603 | − | 0.0540372i | ||||
\(245\) | 40.7502 | 2.60344 | ||||||||
\(246\) | −0.773431 | − | 1.34621i | −0.0493121 | − | 0.0858312i | ||||
\(247\) | −3.83130 | −0.243780 | ||||||||
\(248\) | −0.858118 | − | 1.18110i | −0.0544905 | − | 0.0749998i | ||||
\(249\) | −1.16920 | + | 1.16920i | −0.0740951 | + | 0.0740951i | ||||
\(250\) | −2.25617 | + | 6.94378i | −0.142693 | + | 0.439163i | ||||
\(251\) | −25.9816 | − | 8.44194i | −1.63995 | − | 0.532851i | −0.663420 | − | 0.748248i | \(-0.730896\pi\) |
−0.976527 | + | 0.215397i | \(0.930896\pi\) | |||||||
\(252\) | −20.9865 | − | 3.32394i | −1.32203 | − | 0.209388i | ||||
\(253\) | 11.3751 | − | 1.80164i | 0.715148 | − | 0.113268i | ||||
\(254\) | −7.23281 | + | 2.35008i | −0.453827 | + | 0.147457i | ||||
\(255\) | − | 2.24162i | − | 0.140375i | ||||||
\(256\) | −3.29719 | − | 10.1477i | −0.206074 | − | 0.634231i | ||||
\(257\) | −6.68063 | − | 3.40395i | −0.416726 | − | 0.212333i | 0.233039 | − | 0.972467i | \(-0.425133\pi\) |
−0.649766 | + | 0.760135i | \(0.725133\pi\) | |||||||
\(258\) | 0.592984 | + | 1.16380i | 0.0369176 | + | 0.0724548i | ||||
\(259\) | −3.26941 | + | 20.6423i | −0.203152 | + | 1.28265i | ||||
\(260\) | −10.0184 | − | 10.0184i | −0.621312 | − | 0.621312i | ||||
\(261\) | −1.30238 | + | 0.663596i | −0.0806153 | + | 0.0410756i | ||||
\(262\) | 9.29868 | + | 6.75588i | 0.574474 | + | 0.417380i | ||||
\(263\) | 5.41178 | − | 10.6212i | 0.333705 | − | 0.654933i | −0.661796 | − | 0.749684i | \(-0.730206\pi\) |
0.995501 | + | 0.0947511i | \(0.0302055\pi\) | |||||||
\(264\) | 1.17052 | − | 0.850433i | 0.0720406 | − | 0.0523405i | ||||
\(265\) | 2.83798 | + | 17.9183i | 0.174336 | + | 1.10071i | ||||
\(266\) | 1.96931 | − | 2.71052i | 0.120746 | − | 0.166193i | ||||
\(267\) | 0.742776 | − | 1.02234i | 0.0454572 | − | 0.0625664i | ||||
\(268\) | 0.957790 | + | 6.04725i | 0.0585063 | + | 0.369394i | ||||
\(269\) | −17.1372 | + | 12.4509i | −1.04488 | + | 0.759147i | −0.971231 | − | 0.238138i | \(-0.923463\pi\) |
−0.0736443 | + | 0.997285i | \(0.523463\pi\) | |||||||
\(270\) | −1.53992 | + | 3.02226i | −0.0937164 | + | 0.183929i | ||||
\(271\) | −3.10054 | − | 2.25267i | −0.188344 | − | 0.136840i | 0.489617 | − | 0.871937i | \(-0.337136\pi\) |
−0.677962 | + | 0.735097i | \(0.737136\pi\) | |||||||
\(272\) | 3.06686 | − | 1.56264i | 0.185956 | − | 0.0947491i | ||||
\(273\) | −4.73197 | − | 4.73197i | −0.286392 | − | 0.286392i | ||||
\(274\) | 1.96049 | − | 12.3780i | 0.118437 | − | 0.747784i | ||||
\(275\) | 0.507479 | + | 0.995984i | 0.0306022 | + | 0.0600601i | ||||
\(276\) | 3.09946 | + | 1.57925i | 0.186565 | + | 0.0950598i | ||||
\(277\) | 0.360907 | + | 1.11076i | 0.0216848 | + | 0.0667389i | 0.961313 | − | 0.275457i | \(-0.0888293\pi\) |
−0.939629 | + | 0.342196i | \(0.888829\pi\) | |||||||
\(278\) | − | 1.50545i | − | 0.0902909i | ||||||
\(279\) | −1.61770 | + | 0.525624i | −0.0968494 | + | 0.0314683i | ||||
\(280\) | 28.5470 | − | 4.52140i | 1.70601 | − | 0.270205i | ||||
\(281\) | 17.4781 | + | 2.76826i | 1.04266 | + | 0.165140i | 0.654196 | − | 0.756325i | \(-0.273007\pi\) |
0.388460 | + | 0.921466i | \(0.373007\pi\) | |||||||
\(282\) | −1.15922 | − | 0.376654i | −0.0690306 | − | 0.0224294i | ||||
\(283\) | 2.28989 | − | 7.04757i | 0.136120 | − | 0.418934i | −0.859643 | − | 0.510896i | \(-0.829314\pi\) |
0.995763 | + | 0.0919616i | \(0.0293137\pi\) | |||||||
\(284\) | 7.71549 | − | 7.71549i | 0.457830 | − | 0.457830i | ||||
\(285\) | 0.462844 | + | 0.637050i | 0.0274165 | + | 0.0377356i | ||||
\(286\) | −4.78252 | −0.282796 | ||||||||
\(287\) | 23.3323 | + | 21.0983i | 1.37726 | + | 1.24539i | ||||
\(288\) | −16.8126 | −0.990695 | ||||||||
\(289\) | 5.55635 | + | 7.64766i | 0.326844 | + | 0.449862i | ||||
\(290\) | 0.602674 | − | 0.602674i | 0.0353902 | − | 0.0353902i | ||||
\(291\) | 0.432787 | − | 1.33198i | 0.0253704 | − | 0.0780821i | ||||
\(292\) | 13.8816 | + | 4.51040i | 0.812359 | + | 0.263951i | ||||
\(293\) | 10.2251 | + | 1.61950i | 0.597357 | + | 0.0946120i | 0.447789 | − | 0.894139i | \(-0.352212\pi\) |
0.149568 | + | 0.988751i | \(0.452212\pi\) | |||||||
\(294\) | 4.10359 | − | 0.649944i | 0.239326 | − | 0.0379055i | ||||
\(295\) | −19.0610 | + | 6.19329i | −1.10977 | + | 0.360587i | ||||
\(296\) | 10.5241i | 0.611701i | ||||||||
\(297\) | −1.06311 | − | 3.27192i | −0.0616879 | − | 0.189856i | ||||
\(298\) | 0.955399 | + | 0.486800i | 0.0553448 | + | 0.0281996i | ||||
\(299\) | −12.1777 | − | 23.9002i | −0.704257 | − | 1.38218i | ||||
\(300\) | −0.0528168 | + | 0.333472i | −0.00304938 | + | 0.0192530i | ||||
\(301\) | −18.7131 | − | 18.7131i | −1.07860 | − | 1.07860i | ||||
\(302\) | −1.31973 | + | 0.672435i | −0.0759418 | + | 0.0386943i | ||||
\(303\) | −2.89245 | − | 2.10149i | −0.166167 | − | 0.120727i | ||||
\(304\) | −0.548926 | + | 1.07733i | −0.0314831 | + | 0.0617890i | ||||
\(305\) | 1.33774 | − | 0.971927i | 0.0765989 | − | 0.0556524i | ||||
\(306\) | 0.875357 | + | 5.52679i | 0.0500408 | + | 0.315945i | ||||
\(307\) | −0.807435 | + | 1.11134i | −0.0460827 | + | 0.0634274i | −0.831437 | − | 0.555620i | \(-0.812481\pi\) |
0.785354 | + | 0.619047i | \(0.212481\pi\) | |||||||
\(308\) | −7.38626 | + | 10.1663i | −0.420871 | + | 0.579279i | ||||
\(309\) | −0.0219964 | − | 0.138879i | −0.00125133 | − | 0.00790058i | ||||
\(310\) | 0.802400 | − | 0.582978i | 0.0455733 | − | 0.0331109i | ||||
\(311\) | 5.51590 | − | 10.8256i | 0.312778 | − | 0.613862i | −0.680083 | − | 0.733135i | \(-0.738056\pi\) |
0.992861 | + | 0.119273i | \(0.0380564\pi\) | |||||||
\(312\) | −2.72623 | − | 1.98072i | −0.154342 | − | 0.112136i | ||||
\(313\) | 26.8319 | − | 13.6715i | 1.51663 | − | 0.772761i | 0.519950 | − | 0.854197i | \(-0.325951\pi\) |
0.996679 | + | 0.0814357i | \(0.0259505\pi\) | |||||||
\(314\) | 3.45509 | + | 3.45509i | 0.194982 | + | 0.194982i | ||||
\(315\) | 5.26790 | − | 33.2602i | 0.296813 | − | 1.87400i | ||||
\(316\) | −5.92972 | − | 11.6377i | −0.333573 | − | 0.654673i | ||||
\(317\) | −7.54815 | − | 3.84597i | −0.423946 | − | 0.216011i | 0.228983 | − | 0.973430i | \(-0.426460\pi\) |
−0.652929 | + | 0.757419i | \(0.726460\pi\) | |||||||
\(318\) | 0.571574 | + | 1.75912i | 0.0320523 | + | 0.0986468i | ||||
\(319\) | 0.864455i | 0.0484002i | ||||||||
\(320\) | 3.65586 | − | 1.18786i | 0.204369 | − | 0.0664035i | ||||
\(321\) | −4.73734 | + | 0.750321i | −0.264413 | + | 0.0418788i | ||||
\(322\) | 23.1680 | + | 3.66946i | 1.29110 | + | 0.204491i | ||||
\(323\) | 2.52135 | + | 0.819237i | 0.140292 | + | 0.0455836i | ||||
\(324\) | −3.68849 | + | 11.3520i | −0.204916 | + | 0.630667i | ||||
\(325\) | 1.84094 | − | 1.84094i | 0.102117 | − | 0.102117i | ||||
\(326\) | 3.20797 | + | 4.41539i | 0.177673 | + | 0.244546i | ||||
\(327\) | 5.26120 | 0.290945 | ||||||||
\(328\) | 13.2665 | + | 8.65541i | 0.732517 | + | 0.477915i | ||||
\(329\) | 24.6959 | 1.36153 | ||||||||
\(330\) | 0.577757 | + | 0.795214i | 0.0318045 | + | 0.0437751i | ||||
\(331\) | −7.38632 | + | 7.38632i | −0.405989 | + | 0.405989i | −0.880337 | − | 0.474348i | \(-0.842684\pi\) |
0.474348 | + | 0.880337i | \(0.342684\pi\) | |||||||
\(332\) | 2.23469 | − | 6.87768i | 0.122645 | − | 0.377462i | ||||
\(333\) | 11.6615 | + | 3.78907i | 0.639049 | + | 0.207640i | ||||
\(334\) | −13.2475 | − | 2.09820i | −0.724870 | − | 0.114808i | ||||
\(335\) | −9.58391 | + | 1.51794i | −0.523625 | + | 0.0829341i | ||||
\(336\) | −2.00856 | + | 0.652621i | −0.109576 | + | 0.0356034i | ||||
\(337\) | − | 22.8689i | − | 1.24575i | −0.782321 | − | 0.622875i | \(-0.785964\pi\) | ||
0.782321 | − | 0.622875i | \(-0.214036\pi\) | |||||||
\(338\) | 0.603152 | + | 1.85631i | 0.0328072 | + | 0.100970i | ||||
\(339\) | 2.46524 | + | 1.25610i | 0.133894 | + | 0.0682222i | ||||
\(340\) | 4.45082 | + | 8.73522i | 0.241379 | + | 0.473734i | ||||
\(341\) | −0.157366 | + | 0.993570i | −0.00852184 | + | 0.0538048i | ||||
\(342\) | −1.38993 | − | 1.38993i | −0.0751587 | − | 0.0751587i | ||||
\(343\) | −44.3638 | + | 22.6045i | −2.39542 | + | 1.22053i | ||||
\(344\) | −10.7812 | − | 7.83297i | −0.581281 | − | 0.422325i | ||||
\(345\) | −2.50286 | + | 4.91214i | −0.134749 | + | 0.264461i | ||||
\(346\) | −7.41643 | + | 5.38835i | −0.398710 | + | 0.289680i | ||||
\(347\) | 0.261536 | + | 1.65127i | 0.0140400 | + | 0.0886450i | 0.993713 | − | 0.111954i | \(-0.0357110\pi\) |
−0.979673 | + | 0.200599i | \(0.935711\pi\) | |||||||
\(348\) | −0.153472 | + | 0.211236i | −0.00822697 | + | 0.0113235i | ||||
\(349\) | −20.3042 | + | 27.9463i | −1.08686 | + | 1.49593i | −0.235116 | + | 0.971967i | \(0.575547\pi\) |
−0.851741 | + | 0.523963i | \(0.824453\pi\) | |||||||
\(350\) | 0.356153 | + | 2.24866i | 0.0190372 | + | 0.120196i | ||||
\(351\) | −6.48242 | + | 4.70975i | −0.346006 | + | 0.251388i | ||||
\(352\) | −4.51407 | + | 8.85936i | −0.240601 | + | 0.472206i | ||||
\(353\) | −20.7152 | − | 15.0505i | −1.10256 | − | 0.801055i | −0.121082 | − | 0.992642i | \(-0.538636\pi\) |
−0.981476 | + | 0.191587i | \(0.938636\pi\) | |||||||
\(354\) | −1.82068 | + | 0.927683i | −0.0967680 | + | 0.0493058i | ||||
\(355\) | 12.2278 | + | 12.2278i | 0.648985 | + | 0.648985i | ||||
\(356\) | −0.864577 | + | 5.45872i | −0.0458225 | + | 0.289312i | ||||
\(357\) | 2.10226 | + | 4.12591i | 0.111263 | + | 0.218366i | ||||
\(358\) | −0.348527 | − | 0.177583i | −0.0184202 | − | 0.00938556i | ||||
\(359\) | −8.16247 | − | 25.1215i | −0.430799 | − | 1.32586i | −0.897331 | − | 0.441358i | \(-0.854497\pi\) |
0.466532 | − | 0.884504i | \(-0.345503\pi\) | |||||||
\(360\) | − | 16.9572i | − | 0.893720i | ||||||
\(361\) | 17.1844 | − | 5.58354i | 0.904441 | − | 0.293871i | ||||
\(362\) | −16.7693 | + | 2.65600i | −0.881375 | + | 0.139596i | ||||
\(363\) | 2.74303 | + | 0.434454i | 0.143972 | + | 0.0228029i | ||||
\(364\) | 27.8353 | + | 9.04423i | 1.45897 | + | 0.474047i | ||||
\(365\) | −7.14826 | + | 22.0001i | −0.374157 | + | 1.15154i | ||||
\(366\) | 0.119210 | − | 0.119210i | 0.00623122 | − | 0.00623122i | ||||
\(367\) | 11.8091 | + | 16.2538i | 0.616429 | + | 0.848442i | 0.997087 | − | 0.0762741i | \(-0.0243024\pi\) |
−0.380658 | + | 0.924716i | \(0.624302\pi\) | |||||||
\(368\) | −8.46528 | −0.441283 | ||||||||
\(369\) | 14.3673 | − | 11.5840i | 0.747931 | − | 0.603040i | ||||
\(370\) | −7.14974 | −0.371697 | ||||||||
\(371\) | −22.0279 | − | 30.3188i | −1.14363 | − | 1.57407i | ||||
\(372\) | −0.214848 | + | 0.214848i | −0.0111394 | + | 0.0111394i | ||||
\(373\) | −2.37421 | + | 7.30705i | −0.122932 | + | 0.378345i | −0.993519 | − | 0.113670i | \(-0.963739\pi\) |
0.870587 | + | 0.492015i | \(0.163739\pi\) | |||||||
\(374\) | 3.14735 | + | 1.02264i | 0.162745 | + | 0.0528792i | ||||
\(375\) | 3.50113 | + | 0.554524i | 0.180797 | + | 0.0286355i | ||||
\(376\) | 12.2826 | − | 1.94538i | 0.633428 | − | 0.100325i | ||||
\(377\) | 1.91484 | − | 0.622169i | 0.0986193 | − | 0.0320433i | ||||
\(378\) | − | 7.00694i | − | 0.360398i | ||||||
\(379\) | 7.20512 | + | 22.1751i | 0.370102 | + | 1.13906i | 0.946724 | + | 0.322046i | \(0.104371\pi\) |
−0.576622 | + | 0.817011i | \(0.695629\pi\) | |||||||
\(380\) | −3.06852 | − | 1.56349i | −0.157412 | − | 0.0802052i | ||||
\(381\) | 1.67628 | + | 3.28988i | 0.0858783 | + | 0.168546i | ||||
\(382\) | 1.37446 | − | 8.67800i | 0.0703235 | − | 0.444005i | ||||
\(383\) | −11.5251 | − | 11.5251i | −0.588904 | − | 0.588904i | 0.348430 | − | 0.937335i | \(-0.386715\pi\) |
−0.937335 | + | 0.348430i | \(0.886715\pi\) | |||||||
\(384\) | −3.21728 | + | 1.63929i | −0.164181 | + | 0.0836544i | ||||
\(385\) | −16.1120 | − | 11.7060i | −0.821142 | − | 0.596594i | ||||
\(386\) | −1.04377 | + | 2.04851i | −0.0531265 | + | 0.104267i | ||||
\(387\) | −12.5612 | + | 9.12622i | −0.638520 | + | 0.463912i | ||||
\(388\) | 0.958199 | + | 6.04983i | 0.0486452 | + | 0.307134i | ||||
\(389\) | −0.170988 | + | 0.235345i | −0.00866943 | + | 0.0119325i | −0.813330 | − | 0.581803i | \(-0.802347\pi\) |
0.804660 | + | 0.593735i | \(0.202347\pi\) | |||||||
\(390\) | 1.34564 | − | 1.85211i | 0.0681391 | − | 0.0937854i | ||||
\(391\) | 2.90358 | + | 18.3325i | 0.146840 | + | 0.927114i | ||||
\(392\) | −34.2936 | + | 24.9158i | −1.73209 | + | 1.25844i | ||||
\(393\) | 2.53343 | − | 4.97213i | 0.127795 | − | 0.250811i | ||||
\(394\) | 7.74216 | + | 5.62500i | 0.390044 | + | 0.283384i | ||||
\(395\) | 18.4439 | − | 9.39765i | 0.928014 | − | 0.472847i | ||||
\(396\) | 5.21318 | + | 5.21318i | 0.261972 | + | 0.261972i | ||||
\(397\) | 4.42708 | − | 27.9515i | 0.222189 | − | 1.40284i | −0.584272 | − | 0.811558i | \(-0.698620\pi\) |
0.806461 | − | 0.591287i | \(-0.201380\pi\) | |||||||
\(398\) | 2.97613 | + | 5.84098i | 0.149180 | + | 0.292782i | ||||
\(399\) | −1.44935 | − | 0.738483i | −0.0725585 | − | 0.0369704i | ||||
\(400\) | −0.253898 | − | 0.781417i | −0.0126949 | − | 0.0390708i | ||||
\(401\) | 6.77610i | 0.338382i | 0.985583 | + | 0.169191i | \(0.0541155\pi\) | ||||
−0.985583 | + | 0.169191i | \(0.945885\pi\) | |||||||
\(402\) | −0.940899 | + | 0.305716i | −0.0469278 | + | 0.0152478i | ||||
\(403\) | 2.31410 | − | 0.366517i | 0.115273 | − | 0.0182575i | ||||
\(404\) | 15.4440 | + | 2.44609i | 0.768367 | + | 0.121697i | ||||
\(405\) | −17.9911 | − | 5.84566i | −0.893984 | − | 0.290473i | ||||
\(406\) | −0.544074 | + | 1.67449i | −0.0270019 | + | 0.0831034i | ||||
\(407\) | 5.12767 | − | 5.12767i | 0.254169 | − | 0.254169i | ||||
\(408\) | 1.37058 | + | 1.88645i | 0.0678540 | + | 0.0933930i | ||||
\(409\) | 16.9059 | 0.835945 | 0.417972 | − | 0.908460i | \(-0.362741\pi\) | ||||
0.417972 | + | 0.908460i | \(0.362741\pi\) | |||||||
\(410\) | −5.88021 | + | 9.01280i | −0.290403 | + | 0.445111i | ||||
\(411\) | −6.08457 | −0.300130 | ||||||||
\(412\) | 0.361467 | + | 0.497517i | 0.0178082 | + | 0.0245109i | ||||
\(413\) | 29.2753 | − | 29.2753i | 1.44055 | − | 1.44055i | ||||
\(414\) | 4.25269 | − | 13.0884i | 0.209008 | − | 0.643262i | ||||
\(415\) | 10.9000 | + | 3.54163i | 0.535061 | + | 0.173852i | ||||
\(416\) | 22.8731 | + | 3.62274i | 1.12145 | + | 0.177620i | ||||
\(417\) | −0.721913 | + | 0.114340i | −0.0353522 | + | 0.00559924i | ||||
\(418\) | −1.10560 | + | 0.359232i | −0.0540768 | + | 0.0175706i | ||||
\(419\) | − | 12.2920i | − | 0.600504i | −0.953860 | − | 0.300252i | \(-0.902929\pi\) | ||
0.953860 | − | 0.300252i | \(-0.0970708\pi\) | |||||||
\(420\) | −1.85884 | − | 5.72091i | −0.0907020 | − | 0.279152i | ||||
\(421\) | 25.9576 | + | 13.2260i | 1.26509 | + | 0.644597i | 0.952283 | − | 0.305218i | \(-0.0987293\pi\) |
0.312811 | + | 0.949815i | \(0.398729\pi\) | |||||||
\(422\) | −8.73323 | − | 17.1399i | −0.425127 | − | 0.834359i | ||||
\(423\) | 2.26657 | − | 14.3105i | 0.110204 | − | 0.695802i | ||||
\(424\) | −13.3440 | − | 13.3440i | −0.648043 | − | 0.648043i | ||||
\(425\) | −1.60516 | + | 0.817868i | −0.0778616 | + | 0.0396724i | ||||
\(426\) | 1.42638 | + | 1.03633i | 0.0691083 | + | 0.0502101i | ||||
\(427\) | −1.55074 | + | 3.04350i | −0.0750456 | + | 0.147285i | ||||
\(428\) | 16.9709 | − | 12.3301i | 0.820318 | − | 0.595996i | ||||
\(429\) | 0.363235 | + | 2.29337i | 0.0175371 | + | 0.110725i | ||||
\(430\) | 5.32147 | − | 7.32437i | 0.256624 | − | 0.353213i | ||||
\(431\) | 5.05984 | − | 6.96427i | 0.243724 | − | 0.335457i | −0.669577 | − | 0.742743i | \(-0.733525\pi\) |
0.913301 | + | 0.407285i | \(0.133525\pi\) | |||||||
\(432\) | 0.395579 | + | 2.49759i | 0.0190323 | + | 0.120165i | ||||
\(433\) | 9.57821 | − | 6.95897i | 0.460299 | − | 0.334427i | −0.333349 | − | 0.942803i | \(-0.608179\pi\) |
0.793649 | + | 0.608376i | \(0.208179\pi\) | |||||||
\(434\) | −0.930161 | + | 1.82554i | −0.0446491 | + | 0.0876289i | ||||
\(435\) | −0.334775 | − | 0.243229i | −0.0160513 | − | 0.0116619i | ||||
\(436\) | −20.5021 | + | 10.4463i | −0.981871 | + | 0.500288i | ||||
\(437\) | −4.61043 | − | 4.61043i | −0.220547 | − | 0.220547i | ||||
\(438\) | −0.368947 | + | 2.32944i | −0.0176290 | + | 0.111305i | ||||
\(439\) | −13.8074 | − | 27.0986i | −0.658993 | − | 1.29335i | −0.942445 | − | 0.334360i | \(-0.891480\pi\) |
0.283453 | − | 0.958986i | \(-0.408520\pi\) | |||||||
\(440\) | −8.93551 | − | 4.55287i | −0.425984 | − | 0.217050i | ||||
\(441\) | 15.2617 | + | 46.9706i | 0.726747 | + | 2.23670i | ||||
\(442\) | − | 7.70765i | − | 0.366615i | ||||||
\(443\) | −12.6998 | + | 4.12642i | −0.603387 | + | 0.196052i | −0.594750 | − | 0.803911i | \(-0.702749\pi\) |
−0.00863630 | + | 0.999963i | \(0.502749\pi\) | |||||||
\(444\) | 2.16333 | − | 0.342638i | 0.102667 | − | 0.0162609i | ||||
\(445\) | −8.65119 | − | 1.37021i | −0.410106 | − | 0.0649544i | ||||
\(446\) | 6.40600 | + | 2.08144i | 0.303333 | + | 0.0985588i | ||||
\(447\) | 0.160874 | − | 0.495118i | 0.00760906 | − | 0.0234183i | ||||
\(448\) | −5.61496 | + | 5.61496i | −0.265282 | + | 0.265282i | ||||
\(449\) | 14.7829 | + | 20.3470i | 0.697649 | + | 0.960232i | 0.999975 | + | 0.00702734i | \(0.00223689\pi\) |
−0.302326 | + | 0.953205i | \(0.597763\pi\) | |||||||
\(450\) | 1.33572 | 0.0629666 | ||||||||
\(451\) | −2.24664 | − | 10.6810i | −0.105790 | − | 0.502949i | ||||
\(452\) | −12.1007 | −0.569169 | ||||||||
\(453\) | 0.422689 | + | 0.581781i | 0.0198597 | + | 0.0273345i | ||||
\(454\) | −0.760844 | + | 0.760844i | −0.0357082 | + | 0.0357082i | ||||
\(455\) | −14.3336 | + | 44.1144i | −0.671972 | + | 2.06812i | ||||
\(456\) | −0.779018 | − | 0.253118i | −0.0364809 | − | 0.0118533i | ||||
\(457\) | −31.7784 | − | 5.03321i | −1.48653 | − | 0.235444i | −0.640245 | − | 0.768170i | \(-0.721167\pi\) |
−0.846287 | + | 0.532727i | \(0.821167\pi\) | |||||||
\(458\) | 10.2890 | − | 1.62961i | 0.480771 | − | 0.0761467i | ||||
\(459\) | 5.27311 | − | 1.71334i | 0.246128 | − | 0.0799718i | ||||
\(460\) | − | 24.1114i | − | 1.12420i | ||||||
\(461\) | 9.09817 | + | 28.0013i | 0.423744 | + | 1.30415i | 0.904192 | + | 0.427126i | \(0.140474\pi\) |
−0.480448 | + | 0.877023i | \(0.659526\pi\) | |||||||
\(462\) | −1.80919 | − | 0.921831i | −0.0841714 | − | 0.0428874i | ||||
\(463\) | 9.31629 | + | 18.2842i | 0.432965 | + | 0.849741i | 0.999667 | + | 0.0258181i | \(0.00821907\pi\) |
−0.566702 | + | 0.823923i | \(0.691781\pi\) | |||||||
\(464\) | 0.0993985 | − | 0.627578i | 0.00461446 | − | 0.0291346i | ||||
\(465\) | −0.340500 | − | 0.340500i | −0.0157903 | − | 0.0157903i | ||||
\(466\) | 9.37396 | − | 4.77627i | 0.434240 | − | 0.221256i | ||||
\(467\) | 19.9773 | + | 14.5143i | 0.924437 | + | 0.671643i | 0.944625 | − | 0.328153i | \(-0.106426\pi\) |
−0.0201872 | + | 0.999796i | \(0.506426\pi\) | |||||||
\(468\) | 7.79558 | − | 15.2997i | 0.360351 | − | 0.707228i | ||||
\(469\) | 16.2165 | − | 11.7820i | 0.748811 | − | 0.544043i | ||||
\(470\) | 1.32163 | + | 8.34443i | 0.0609621 | + | 0.384900i | ||||
\(471\) | 1.39441 | − | 1.91925i | 0.0642512 | − | 0.0884342i | ||||
\(472\) | 12.2541 | − | 16.8664i | 0.564043 | − | 0.776339i | ||||
\(473\) | 1.43645 | + | 9.06939i | 0.0660480 | + | 0.417011i | ||||
\(474\) | 1.70743 | − | 1.24052i | 0.0784250 | − | 0.0569791i | ||||
\(475\) | 0.287302 | − | 0.563861i | 0.0131823 | − | 0.0258717i | ||||
\(476\) | −16.3843 | − | 11.9039i | −0.750974 | − | 0.545615i | ||||
\(477\) | −19.5906 | + | 9.98191i | −0.896992 | + | 0.457040i | ||||
\(478\) | 6.68268 | + | 6.68268i | 0.305659 | + | 0.305659i | ||||
\(479\) | −4.53834 | + | 28.6540i | −0.207362 | + | 1.30923i | 0.635917 | + | 0.771757i | \(0.280622\pi\) |
−0.843279 | + | 0.537476i | \(0.819378\pi\) | |||||||
\(480\) | −2.16084 | − | 4.24088i | −0.0986282 | − | 0.193569i | ||||
\(481\) | −15.0487 | − | 7.66771i | −0.686163 | − | 0.349617i | ||||
\(482\) | 0.872483 | + | 2.68523i | 0.0397405 | + | 0.122309i | ||||
\(483\) | − | 11.3885i | − | 0.518196i | ||||||
\(484\) | −11.5518 | + | 3.75340i | −0.525081 | + | 0.170609i | ||||
\(485\) | −9.58800 | + | 1.51859i | −0.435369 | + | 0.0689557i | ||||
\(486\) | −6.13112 | − | 0.971073i | −0.278113 | − | 0.0440488i | ||||
\(487\) | −25.0893 | − | 8.15201i | −1.13691 | − | 0.369403i | −0.320709 | − | 0.947178i | \(-0.603921\pi\) |
−0.816196 | + | 0.577775i | \(0.803921\pi\) | |||||||
\(488\) | −0.531524 | + | 1.63586i | −0.0240609 | + | 0.0740520i | ||||
\(489\) | 1.87368 | − | 1.87368i | 0.0847307 | − | 0.0847307i | ||||
\(490\) | −16.9270 | − | 23.2980i | −0.764682 | − | 1.05250i | ||||
\(491\) | 17.4748 | 0.788628 | 0.394314 | − | 0.918976i | \(-0.370982\pi\) | ||||
0.394314 | + | 0.918976i | \(0.370982\pi\) | |||||||
\(492\) | 1.34728 | − | 3.00885i | 0.0607402 | − | 0.135649i | ||||
\(493\) | −1.39318 | −0.0627457 | ||||||||
\(494\) | 1.59146 | + | 2.19045i | 0.0716031 | + | 0.0985532i | ||||
\(495\) | −8.26205 | + | 8.26205i | −0.371352 | + | 0.371352i | ||||
\(496\) | 0.228489 | − | 0.703217i | 0.0102595 | − | 0.0315754i | ||||
\(497\) | −33.9741 | − | 11.0389i | −1.52395 | − | 0.495160i | ||||
\(498\) | 1.15413 | + | 0.182796i | 0.0517178 | + | 0.00819129i | ||||
\(499\) | 6.24219 | − | 0.988666i | 0.279439 | − | 0.0442588i | −0.0151419 | − | 0.999885i | \(-0.504820\pi\) |
0.294581 | + | 0.955627i | \(0.404820\pi\) | |||||||
\(500\) | −14.7444 | + | 4.79073i | −0.659388 | + | 0.214248i | ||||
\(501\) | 6.51196i | 0.290933i | ||||||||
\(502\) | 5.96586 | + | 18.3610i | 0.266269 | + | 0.819493i | ||||
\(503\) | 9.88764 | + | 5.03800i | 0.440868 | + | 0.224634i | 0.660312 | − | 0.750992i | \(-0.270424\pi\) |
−0.219444 | + | 0.975625i | \(0.570424\pi\) | |||||||
\(504\) | 15.9029 | + | 31.2113i | 0.708373 | + | 1.39026i | ||||
\(505\) | −3.87665 | + | 24.4762i | −0.172509 | + | 1.08918i | ||||
\(506\) | −5.75509 | − | 5.75509i | −0.255845 | − | 0.255845i | ||||
\(507\) | 0.844353 | − | 0.430219i | 0.0374990 | − | 0.0191067i | ||||
\(508\) | −13.0644 | − | 9.49183i | −0.579638 | − | 0.421132i | ||||
\(509\) | 9.54403 | − | 18.7312i | 0.423032 | − | 0.830247i | −0.576878 | − | 0.816830i | \(-0.695729\pi\) |
0.999910 | − | 0.0134165i | \(-0.00427073\pi\) | |||||||
\(510\) | −1.28159 | + | 0.931130i | −0.0567498 | + | 0.0412311i | ||||
\(511\) | −7.47530 | − | 47.1972i | −0.330688 | − | 2.08788i | ||||
\(512\) | 7.93954 | − | 10.9278i | 0.350881 | − | 0.482947i | ||||
\(513\) | −1.14481 | + | 1.57570i | −0.0505447 | + | 0.0695688i | ||||
\(514\) | 0.828895 | + | 5.23344i | 0.0365610 | + | 0.230837i | ||||
\(515\) | −0.788484 | + | 0.572867i | −0.0347447 | + | 0.0252435i | ||||
\(516\) | −1.25914 | + | 2.47120i | −0.0554304 | + | 0.108788i | ||||
\(517\) | −6.93233 | − | 5.03663i | −0.304884 | − | 0.221511i | ||||
\(518\) | 13.1598 | − | 6.70525i | 0.578208 | − | 0.294612i | ||||
\(519\) | 3.14717 | + | 3.14717i | 0.138146 | + | 0.138146i | ||||
\(520\) | −3.65388 | + | 23.0697i | −0.160233 | + | 1.01167i | ||||
\(521\) | −4.33618 | − | 8.51023i | −0.189971 | − | 0.372840i | 0.776301 | − | 0.630363i | \(-0.217094\pi\) |
−0.966272 | + | 0.257523i | \(0.917094\pi\) | |||||||
\(522\) | 0.920383 | + | 0.468958i | 0.0402841 | + | 0.0205258i | ||||
\(523\) | 3.08324 | + | 9.48924i | 0.134821 | + | 0.414936i | 0.995562 | − | 0.0941069i | \(-0.0299996\pi\) |
−0.860741 | + | 0.509043i | \(0.830000\pi\) | |||||||
\(524\) | 24.4058i | 1.06617i | ||||||||
\(525\) | 1.05126 | − | 0.341574i | 0.0458806 | − | 0.0149075i | ||||
\(526\) | −8.32040 | + | 1.31782i | −0.362787 | + | 0.0574598i | ||||
\(527\) | −1.60127 | − | 0.253616i | −0.0697522 | − | 0.0110477i | ||||
\(528\) | 0.696920 | + | 0.226443i | 0.0303295 | + | 0.00985467i | ||||
\(529\) | 6.99889 | − | 21.5404i | 0.304300 | − | 0.936538i | ||||
\(530\) | 9.06551 | − | 9.06551i | 0.393780 | − | 0.393780i | ||||
\(531\) | −14.2774 | − | 19.6511i | −0.619585 | − | 0.852785i | ||||
\(532\) | 7.11419 | 0.308439 | ||||||||
\(533\) | −22.0424 | + | 12.6639i | −0.954761 | + | 0.548534i | ||||
\(534\) | −0.893038 | −0.0386455 | ||||||||
\(535\) | 19.5412 | + | 26.8961i | 0.844838 | + | 1.16282i | ||||
\(536\) | 7.13729 | − | 7.13729i | 0.308284 | − | 0.308284i | ||||
\(537\) | −0.0586862 | + | 0.180617i | −0.00253249 | + | 0.00779422i | ||||
\(538\) | 14.2370 | + | 4.62590i | 0.613803 | + | 0.199437i | ||||
\(539\) | 28.8486 | + | 4.56918i | 1.24260 | + | 0.196808i | ||||
\(540\) | −7.11379 | + | 1.12671i | −0.306129 | + | 0.0484860i | ||||
\(541\) | −4.63179 | + | 1.50496i | −0.199136 | + | 0.0647032i | −0.406887 | − | 0.913479i | \(-0.633386\pi\) |
0.207751 | + | 0.978182i | \(0.433386\pi\) | |||||||
\(542\) | 2.70838i | 0.116335i | ||||||||
\(543\) | 2.54728 | + | 7.83971i | 0.109314 | + | 0.336434i | ||||
\(544\) | −14.2780 | − | 7.27501i | −0.612164 | − | 0.311913i | ||||
\(545\) | −16.5557 | − | 32.4925i | −0.709170 | − | 1.39182i | ||||
\(546\) | −0.739810 | + | 4.67098i | −0.0316610 | + | 0.199899i | ||||
\(547\) | 14.2161 | + | 14.2161i | 0.607837 | + | 0.607837i | 0.942380 | − | 0.334543i | \(-0.108582\pi\) |
−0.334543 | + | 0.942380i | \(0.608582\pi\) | |||||||
\(548\) | 23.7106 | − | 12.0812i | 1.01287 | − | 0.516081i | ||||
\(549\) | 1.62130 | + | 1.17794i | 0.0691953 | + | 0.0502733i | ||||
\(550\) | 0.358632 | − | 0.703855i | 0.0152921 | − | 0.0300125i | ||||
\(551\) | 0.395931 | − | 0.287661i | 0.0168672 | − | 0.0122548i | ||||
\(552\) | −0.897114 | − | 5.66416i | −0.0381837 | − | 0.241082i | ||||
\(553\) | −25.1344 | + | 34.5946i | −1.06882 | + | 1.47111i | ||||
\(554\) | 0.485134 | − | 0.667730i | 0.0206114 | − | 0.0283691i | ||||
\(555\) | 0.543026 | + | 3.42853i | 0.0230502 | + | 0.145533i | ||||
\(556\) | 2.58615 | − | 1.87895i | 0.109677 | − | 0.0796852i | ||||
\(557\) | 9.22663 | − | 18.1083i | 0.390945 | − | 0.767273i | −0.608714 | − | 0.793390i | \(-0.708314\pi\) |
0.999659 | + | 0.0261171i | \(0.00831428\pi\) | |||||||
\(558\) | 0.972481 | + | 0.706549i | 0.0411684 | + | 0.0299106i | ||||
\(559\) | 19.0556 | − | 9.70931i | 0.805965 | − | 0.410660i | ||||
\(560\) | 10.3510 | + | 10.3510i | 0.437408 | + | 0.437408i | ||||
\(561\) | 0.251344 | − | 1.58693i | 0.0106118 | − | 0.0670001i | ||||
\(562\) | −5.67742 | − | 11.1426i | −0.239488 | − | 0.470021i | ||||
\(563\) | 14.3215 | + | 7.29719i | 0.603581 | + | 0.307540i | 0.728946 | − | 0.684571i | \(-0.240010\pi\) |
−0.125366 | + | 0.992111i | \(0.540010\pi\) | |||||||
\(564\) | −0.799783 | − | 2.46148i | −0.0336770 | − | 0.103647i | ||||
\(565\) | − | 19.1777i | − | 0.806811i | ||||||
\(566\) | −4.98046 | + | 1.61825i | −0.209345 | + | 0.0680202i | ||||
\(567\) | 38.5966 | − | 6.11310i | 1.62090 | − | 0.256726i | ||||
\(568\) | −17.7668 | − | 2.81398i | −0.745478 | − | 0.118072i | ||||
\(569\) | 13.6249 | + | 4.42700i | 0.571186 | + | 0.185590i | 0.580348 | − | 0.814369i | \(-0.302916\pi\) |
−0.00916232 | + | 0.999958i | \(0.502916\pi\) | |||||||
\(570\) | 0.171960 | − | 0.529240i | 0.00720263 | − | 0.0221674i | ||||
\(571\) | −5.79685 | + | 5.79685i | −0.242591 | + | 0.242591i | −0.817921 | − | 0.575330i | \(-0.804873\pi\) |
0.575330 | + | 0.817921i | \(0.304873\pi\) | |||||||
\(572\) | −5.96906 | − | 8.21570i | −0.249579 | − | 0.343516i | ||||
\(573\) | −4.26578 | −0.178205 | ||||||||
\(574\) | 2.37061 | − | 22.1036i | 0.0989472 | − | 0.922586i | ||||
\(575\) | 4.43063 | 0.184770 | ||||||||
\(576\) | 2.73837 | + | 3.76905i | 0.114099 | + | 0.157044i | ||||
\(577\) | −3.49886 | + | 3.49886i | −0.145660 | + | 0.145660i | −0.776176 | − | 0.630516i | \(-0.782843\pi\) |
0.630516 | + | 0.776176i | \(0.282843\pi\) | |||||||
\(578\) | 2.06435 | − | 6.35342i | 0.0858657 | − | 0.264268i | ||||
\(579\) | 1.06160 | + | 0.344936i | 0.0441188 | + | 0.0143351i | ||||
\(580\) | 1.78751 | + | 0.283113i | 0.0742222 | + | 0.0117556i | ||||
\(581\) | −23.3840 | + | 3.70366i | −0.970132 | + | 0.153654i | ||||
\(582\) | −0.941300 | + | 0.305847i | −0.0390182 | + | 0.0126778i | ||||
\(583\) | 13.0033i | 0.538540i | ||||||||
\(584\) | −7.43577 | − | 22.8849i | −0.307694 | − | 0.946986i | ||||
\(585\) | 24.2475 | + | 12.3547i | 1.00251 | + | 0.510805i | ||||
\(586\) | −3.32143 | − | 6.51867i | −0.137207 | − | 0.269284i | ||||
\(587\) | 1.58441 | − | 10.0036i | 0.0653955 | − | 0.412891i | −0.933174 | − | 0.359425i | \(-0.882973\pi\) |
0.998570 | − | 0.0534665i | \(-0.0170270\pi\) | |||||||
\(588\) | 6.23819 | + | 6.23819i | 0.257259 | + | 0.257259i | ||||
\(589\) | 0.507433 | − | 0.258550i | 0.0209084 | − | 0.0106534i | ||||
\(590\) | 11.4585 | + | 8.32508i | 0.471738 | + | 0.342738i | ||||
\(591\) | 2.10935 | − | 4.13984i | 0.0867672 | − | 0.170290i | ||||
\(592\) | −4.31219 | + | 3.13299i | −0.177230 | + | 0.128765i | ||||
\(593\) | 2.36683 | + | 14.9436i | 0.0971942 | + | 0.613660i | 0.987417 | + | 0.158136i | \(0.0505483\pi\) |
−0.890223 | + | 0.455525i | \(0.849452\pi\) | |||||||
\(594\) | −1.42904 | + | 1.96691i | −0.0586343 | + | 0.0807032i | ||||
\(595\) | 18.8658 | − | 25.9665i | 0.773421 | − | 1.06452i | ||||
\(596\) | 0.356178 | + | 2.24882i | 0.0145896 | + | 0.0921151i | ||||
\(597\) | 2.57490 | − | 1.87078i | 0.105384 | − | 0.0765658i | ||||
\(598\) | −8.60592 | + | 16.8901i | −0.351922 | + | 0.690686i | ||||
\(599\) | 2.65199 | + | 1.92679i | 0.108358 | + | 0.0787264i | 0.640644 | − | 0.767838i | \(-0.278667\pi\) |
−0.532287 | + | 0.846564i | \(0.678667\pi\) | |||||||
\(600\) | 0.495942 | − | 0.252695i | 0.0202468 | − | 0.0103162i | ||||
\(601\) | −5.05364 | − | 5.05364i | −0.206142 | − | 0.206142i | 0.596483 | − | 0.802626i | \(-0.296564\pi\) |
−0.802626 | + | 0.596483i | \(0.796564\pi\) | |||||||
\(602\) | −2.92566 | + | 18.4719i | −0.119241 | + | 0.752857i | ||||
\(603\) | −5.33900 | − | 10.4784i | −0.217421 | − | 0.426712i | ||||
\(604\) | −2.80230 | − | 1.42784i | −0.114024 | − | 0.0580981i | ||||
\(605\) | −5.94854 | − | 18.3077i | −0.241843 | − | 0.744315i | ||||
\(606\) | 2.52661i | 0.102637i | ||||||||
\(607\) | −32.2830 | + | 10.4894i | −1.31033 | + | 0.425751i | −0.879163 | − | 0.476522i | \(-0.841897\pi\) |
−0.431165 | + | 0.902273i | \(0.641897\pi\) | |||||||
\(608\) | 5.55983 | − | 0.880590i | 0.225481 | − | 0.0357126i | ||||
\(609\) | 0.844294 | + | 0.133723i | 0.0342125 | + | 0.00541873i | ||||
\(610\) | −1.11135 | − | 0.361100i | −0.0449973 | − | 0.0146205i | ||||
\(611\) | −6.16719 | + | 18.9807i | −0.249498 | + | 0.767876i | ||||
\(612\) | −8.40172 | + | 8.40172i | −0.339619 | + | 0.339619i | ||||
\(613\) | 9.06342 | + | 12.4747i | 0.366068 | + | 0.503849i | 0.951827 | − | 0.306636i | \(-0.0992034\pi\) |
−0.585759 | + | 0.810485i | \(0.699203\pi\) | |||||||
\(614\) | 0.970776 | 0.0391773 | ||||||||
\(615\) | 4.76854 | + | 2.13522i | 0.192286 | + | 0.0861006i | ||||
\(616\) | 20.7165 | 0.834691 | ||||||||
\(617\) | −0.427082 | − | 0.587827i | −0.0171937 | − | 0.0236650i | 0.800334 | − | 0.599555i | \(-0.204656\pi\) |
−0.817527 | + | 0.575890i | \(0.804656\pi\) | |||||||
\(618\) | −0.0702641 | + | 0.0702641i | −0.00282644 | + | 0.00282644i | ||||
\(619\) | 7.59558 | − | 23.3768i | 0.305292 | − | 0.939593i | −0.674276 | − | 0.738480i | \(-0.735544\pi\) |
0.979568 | − | 0.201113i | \(-0.0644559\pi\) | |||||||
\(620\) | 2.00295 | + | 0.650798i | 0.0804404 | + | 0.0261367i | ||||
\(621\) | −13.4682 | − | 2.13315i | −0.540460 | − | 0.0856005i | ||||
\(622\) | −8.48048 | + | 1.34318i | −0.340036 | + | 0.0538564i | ||||
\(623\) | 17.2084 | − | 5.59135i | 0.689440 | − | 0.224013i | ||||
\(624\) | − | 1.70671i | − | 0.0683231i | ||||||
\(625\) | −8.60576 | − | 26.4858i | −0.344230 | − | 1.05943i | ||||
\(626\) | −18.9619 | − | 9.66157i | −0.757870 | − | 0.386154i | ||||
\(627\) | 0.256235 | + | 0.502889i | 0.0102330 | + | 0.0200835i | ||||
\(628\) | −1.62307 | + | 10.2477i | −0.0647676 | + | 0.408927i | ||||
\(629\) | 8.26391 | + | 8.26391i | 0.329503 | + | 0.329503i | ||||
\(630\) | −21.2039 | + | 10.8040i | −0.844786 | + | 0.430440i | ||||
\(631\) | −11.0214 | − | 8.00754i | −0.438756 | − | 0.318775i | 0.346384 | − | 0.938093i | \(-0.387409\pi\) |
−0.785141 | + | 0.619318i | \(0.787409\pi\) | |||||||
\(632\) | −9.77562 | + | 19.1857i | −0.388853 | + | 0.763168i | ||||
\(633\) | −7.55587 | + | 5.48966i | −0.300319 | + | 0.218194i | ||||
\(634\) | 0.936532 | + | 5.91303i | 0.0371944 | + | 0.234836i | ||||
\(635\) | 15.0430 | − | 20.7049i | 0.596964 | − | 0.821650i | ||||
\(636\) | −2.30855 | + | 3.17745i | −0.0915399 | + | 0.125994i | ||||
\(637\) | −10.6420 | − | 67.1907i | −0.421650 | − | 2.66219i | ||||
\(638\) | 0.494232 | − | 0.359080i | 0.0195668 | − | 0.0142161i | ||||
\(639\) | −9.51482 | + | 18.6739i | −0.376400 | + | 0.738727i | ||||
\(640\) | 20.2480 | + | 14.7110i | 0.800373 | + | 0.581505i | ||||
\(641\) | −8.46013 | + | 4.31065i | −0.334155 | + | 0.170260i | −0.613015 | − | 0.790071i | \(-0.710043\pi\) |
0.278860 | + | 0.960332i | \(0.410043\pi\) | |||||||
\(642\) | 2.39679 | + | 2.39679i | 0.0945938 | + | 0.0945938i | ||||
\(643\) | 6.20230 | − | 39.1598i | 0.244595 | − | 1.54431i | −0.493579 | − | 0.869701i | \(-0.664312\pi\) |
0.738174 | − | 0.674610i | \(-0.235688\pi\) | |||||||
\(644\) | 22.6124 | + | 44.3793i | 0.891053 | + | 1.74879i | ||||
\(645\) | −3.91645 | − | 1.99553i | −0.154210 | − | 0.0785739i | ||||
\(646\) | −0.578949 | − | 1.78182i | −0.0227784 | − | 0.0701048i | ||||
\(647\) | 40.5997i | 1.59614i | 0.602564 | + | 0.798070i | \(0.294146\pi\) | ||||
−0.602564 | + | 0.798070i | \(0.705854\pi\) | |||||||
\(648\) | 18.7147 | − | 6.08077i | 0.735183 | − | 0.238875i | ||||
\(649\) | −14.1884 | + | 2.24723i | −0.556945 | + | 0.0882114i | ||||
\(650\) | −1.81721 | − | 0.287818i | −0.0712769 | − | 0.0112892i | ||||
\(651\) | 0.946054 | + | 0.307392i | 0.0370788 | + | 0.0120476i | ||||
\(652\) | −3.58117 | + | 11.0217i | −0.140249 | + | 0.431643i | ||||
\(653\) | −6.90831 | + | 6.90831i | −0.270343 | + | 0.270343i | −0.829238 | − | 0.558895i | \(-0.811225\pi\) |
0.558895 | + | 0.829238i | \(0.311225\pi\) | |||||||
\(654\) | −2.18542 | − | 3.00797i | −0.0854565 | − | 0.117621i | ||||
\(655\) | −38.6793 | −1.51133 | ||||||||
\(656\) | 0.402874 | + | 8.01253i | 0.0157296 | + | 0.312837i | ||||
\(657\) | −28.0355 | −1.09377 | ||||||||
\(658\) | −10.2582 | − | 14.1193i | −0.399908 | − | 0.550426i | ||||
\(659\) | −27.6241 | + | 27.6241i | −1.07608 | + | 1.07608i | −0.0792258 | + | 0.996857i | \(0.525245\pi\) |
−0.996857 | + | 0.0792258i | \(0.974755\pi\) | |||||||
\(660\) | −0.644970 | + | 1.98501i | −0.0251054 | + | 0.0772665i | ||||
\(661\) | 35.4354 | + | 11.5137i | 1.37828 | + | 0.447829i | 0.902102 | − | 0.431522i | \(-0.142023\pi\) |
0.476174 | + | 0.879351i | \(0.342023\pi\) | |||||||
\(662\) | 7.29110 | + | 1.15480i | 0.283377 | + | 0.0448825i | ||||
\(663\) | −3.69607 | + | 0.585400i | −0.143543 | + | 0.0227350i | ||||
\(664\) | −11.3384 | + | 3.68408i | −0.440016 | + | 0.142970i | ||||
\(665\) | 11.2748i | 0.437220i | ||||||||
\(666\) | −2.67770 | − | 8.24113i | −0.103759 | − | 0.319337i | ||||
\(667\) | 3.05293 | + | 1.55555i | 0.118210 | + | 0.0602310i | ||||
\(668\) | −12.9298 | − | 25.3761i | −0.500267 | − | 0.981830i | ||||
\(669\) | 0.511578 | − | 3.22997i | 0.0197787 | − | 0.124878i | ||||
\(670\) | 4.84885 | + | 4.84885i | 0.187327 | + | 0.187327i | ||||
\(671\) | 1.05602 | − | 0.538068i | 0.0407671 | − | 0.0207719i | ||||
\(672\) | 7.95446 | + | 5.77925i | 0.306850 | + | 0.222939i | ||||
\(673\) | −14.5486 | + | 28.5532i | −0.560807 | + | 1.10065i | 0.420337 | + | 0.907368i | \(0.361912\pi\) |
−0.981144 | + | 0.193277i | \(0.938088\pi\) | |||||||
\(674\) | −13.0748 | + | 9.49938i | −0.503621 | + | 0.365902i | ||||
\(675\) | −0.207041 | − | 1.30721i | −0.00796903 | − | 0.0503144i | ||||
\(676\) | −2.43609 | + | 3.35299i | −0.0936958 | + | 0.128961i | ||||
\(677\) | −21.5287 | + | 29.6318i | −0.827417 | + | 1.13884i | 0.160982 | + | 0.986957i | \(0.448534\pi\) |
−0.988398 | + | 0.151884i | \(0.951466\pi\) | |||||||
\(678\) | −0.305873 | − | 1.93121i | −0.0117470 | − | 0.0741676i | ||||
\(679\) | 16.2235 | − | 11.7870i | 0.622600 | − | 0.452345i | ||||
\(680\) | 7.33754 | − | 14.4007i | 0.281382 | − | 0.552243i | ||||
\(681\) | 0.422636 | + | 0.307063i | 0.0161954 | + | 0.0117667i | ||||
\(682\) | 0.633417 | − | 0.322742i | 0.0242548 | − | 0.0123584i | ||||
\(683\) | −32.2175 | − | 32.2175i | −1.23277 | − | 1.23277i | −0.962896 | − | 0.269874i | \(-0.913018\pi\) |
−0.269874 | − | 0.962896i | \(-0.586982\pi\) | |||||||
\(684\) | 0.652935 | − | 4.12247i | 0.0249656 | − | 0.157627i | ||||
\(685\) | 19.1467 | + | 37.5775i | 0.731557 | + | 1.43576i | ||||
\(686\) | 31.3515 | + | 15.9744i | 1.19701 | + | 0.609906i | ||||
\(687\) | −1.56290 | − | 4.81012i | −0.0596285 | − | 0.183518i | ||||
\(688\) | − | 6.74936i | − | 0.257317i | ||||||
\(689\) | 28.8033 | − | 9.35875i | 1.09732 | − | 0.356540i | ||||
\(690\) | 3.84805 | − | 0.609471i | 0.146493 | − | 0.0232021i | ||||
\(691\) | 12.3380 | + | 1.95415i | 0.469360 | + | 0.0743394i | 0.386635 | − | 0.922233i | \(-0.373637\pi\) |
0.0827257 | + | 0.996572i | \(0.473637\pi\) | |||||||
\(692\) | −18.5129 | − | 6.01520i | −0.703754 | − | 0.228663i | ||||
\(693\) | 7.45870 | − | 22.9555i | 0.283333 | − | 0.872008i | ||||
\(694\) | 0.835439 | − | 0.835439i | 0.0317128 | − | 0.0317128i | ||||
\(695\) | 2.97783 | + | 4.09864i | 0.112956 | + | 0.155470i | ||||
\(696\) | 0.430449 | 0.0163161 | ||||||||
\(697\) | 17.2138 | − | 3.62076i | 0.652020 | − | 0.137146i | ||||
\(698\) | 24.4116 | 0.923994 | ||||||||
\(699\) | −3.00234 | − | 4.13236i | −0.113559 | − | 0.156300i | ||||
\(700\) | −3.41838 | + | 3.41838i | −0.129202 | + | 0.129202i | ||||
\(701\) | 10.2823 | − | 31.6458i | 0.388358 | − | 1.19524i | −0.545656 | − | 0.838009i | \(-0.683720\pi\) |
0.934015 | − | 0.357235i | \(-0.116280\pi\) | |||||||
\(702\) | 5.38538 | + | 1.74982i | 0.203258 | + | 0.0660425i | ||||
\(703\) | −4.05485 | − | 0.642225i | −0.152932 | − | 0.0242220i | ||||
\(704\) | 2.72132 | − | 0.431014i | 0.102564 | − | 0.0162445i | ||||
\(705\) | 3.90105 | − | 1.26753i | 0.146922 | − | 0.0477378i | ||||
\(706\) | 18.0951i | 0.681019i | ||||||||
\(707\) | −15.8192 | − | 48.6865i | −0.594943 | − | 1.83105i | ||||
\(708\) | −3.86602 | − | 1.96983i | −0.145294 | − | 0.0740309i | ||||
\(709\) | 12.6452 | + | 24.8176i | 0.474901 | + | 0.932046i | 0.996868 | + | 0.0790803i | \(0.0251983\pi\) |
−0.521967 | + | 0.852966i | \(0.674802\pi\) | |||||||
\(710\) | 1.91173 | − | 12.0702i | 0.0717460 | − | 0.452986i | ||||
\(711\) | 17.7397 | + | 17.7397i | 0.665292 | + | 0.665292i | ||||
\(712\) | 8.11825 | − | 4.13646i | 0.304244 | − | 0.155020i | ||||
\(713\) | 3.22574 | + | 2.34364i | 0.120805 | + | 0.0877700i | ||||
\(714\) | 1.48565 | − | 2.91575i | 0.0555990 | − | 0.109119i | ||||
\(715\) | 13.0206 | − | 9.45999i | 0.486941 | − | 0.353784i | ||||
\(716\) | −0.129932 | − | 0.820361i | −0.00485580 | − | 0.0306583i | ||||
\(717\) | 2.69701 | − | 3.71212i | 0.100722 | − | 0.138632i | ||||
\(718\) | −10.9721 | + | 15.1018i | −0.409474 | + | 0.563593i | ||||
\(719\) | 4.62484 | + | 29.2001i | 0.172477 | + | 1.08898i | 0.910289 | + | 0.413973i | \(0.135859\pi\) |
−0.737812 | + | 0.675006i | \(0.764141\pi\) | |||||||
\(720\) | 6.94809 | − | 5.04808i | 0.258940 | − | 0.188131i | ||||
\(721\) | 0.914029 | − | 1.79388i | 0.0340402 | − | 0.0668077i | ||||
\(722\) | −10.3304 | − | 7.50545i | −0.384456 | − | 0.279324i | ||||
\(723\) | 1.22139 | − | 0.622329i | 0.0454239 | − | 0.0231447i | ||||
\(724\) | −25.4924 | − | 25.4924i | −0.947417 | − | 0.947417i | ||||
\(725\) | −0.0520240 | + | 0.328467i | −0.00193212 | + | 0.0121989i | ||||
\(726\) | −0.891022 | − | 1.74873i | −0.0330689 | − | 0.0649014i | ||||
\(727\) | 12.9250 | + | 6.58561i | 0.479361 | + | 0.244247i | 0.676937 | − | 0.736041i | \(-0.263307\pi\) |
−0.197576 | + | 0.980288i | \(0.563307\pi\) | |||||||
\(728\) | −14.9102 | − | 45.8887i | −0.552607 | − | 1.70075i | ||||
\(729\) | − | 20.8493i | − | 0.772195i | ||||||
\(730\) | 15.5473 | − | 5.05162i | 0.575431 | − | 0.186969i | ||||
\(731\) | −14.6165 | + | 2.31502i | −0.540610 | + | 0.0856242i | ||||
\(732\) | 0.353573 | + | 0.0560004i | 0.0130684 | + | 0.00206983i | ||||
\(733\) | 42.4622 | + | 13.7968i | 1.56838 | + | 0.509596i | 0.959029 | − | 0.283307i | \(-0.0914316\pi\) |
0.609347 | + | 0.792904i | \(0.291432\pi\) | |||||||
\(734\) | 4.38743 | − | 13.5031i | 0.161943 | − | 0.498410i | ||||
\(735\) | −9.88653 | + | 9.88653i | −0.364670 | + | 0.364670i | ||||
\(736\) | 23.1651 | + | 31.8840i | 0.853877 | + | 1.17526i | ||||
\(737\) | −6.95502 | −0.256191 | ||||||||
\(738\) | −12.5908 | − | 3.40235i | −0.463475 | − | 0.125242i | ||||
\(739\) | −2.65655 | −0.0977228 | −0.0488614 | − | 0.998806i | \(-0.515559\pi\) | ||||
−0.0488614 | + | 0.998806i | \(0.515559\pi\) | |||||||
\(740\) | −8.92358 | − | 12.2823i | −0.328037 | − | 0.451505i | ||||
\(741\) | 0.929522 | − | 0.929522i | 0.0341468 | − | 0.0341468i | ||||
\(742\) | −8.18403 | + | 25.1879i | −0.300445 | + | 0.924676i | ||||
\(743\) | −29.1554 | − | 9.47315i | −1.06961 | − | 0.347536i | −0.279272 | − | 0.960212i | \(-0.590093\pi\) |
−0.790334 | + | 0.612676i | \(0.790093\pi\) | |||||||
\(744\) | 0.494740 | + | 0.0783591i | 0.0181380 | + | 0.00287278i | ||||
\(745\) | −3.56401 | + | 0.564484i | −0.130575 | + | 0.0206811i | ||||
\(746\) | 5.16384 | − | 1.67783i | 0.189062 | − | 0.0614298i | ||||
\(747\) | 13.8903i | 0.508219i | ||||||||
\(748\) | 2.17146 | + | 6.68305i | 0.0793963 | + | 0.244357i | ||||
\(749\) | −61.1914 | − | 31.1786i | −2.23588 | − | 1.13924i | ||||
\(750\) | −1.13727 | − | 2.23203i | −0.0415274 | − | 0.0815020i | ||||
\(751\) | 7.92192 | − | 50.0170i | 0.289075 | − | 1.82515i | −0.233268 | − | 0.972412i | \(-0.574942\pi\) |
0.522343 | − | 0.852735i | \(-0.325058\pi\) | |||||||
\(752\) | 4.45360 | + | 4.45360i | 0.162406 | + | 0.162406i | ||||
\(753\) | 8.35160 | − | 4.25535i | 0.304349 | − | 0.155074i | ||||
\(754\) | −1.15110 | − | 0.836325i | −0.0419207 | − | 0.0304572i | ||||
\(755\) | 2.26290 | − | 4.44120i | 0.0823554 | − | 0.161632i | ||||
\(756\) | 12.0370 | − | 8.74536i | 0.437780 | − | 0.318066i | ||||
\(757\) | 4.53435 | + | 28.6288i | 0.164804 | + | 1.04053i | 0.921957 | + | 0.387293i | \(0.126590\pi\) |
−0.757153 | + | 0.653238i | \(0.773410\pi\) | |||||||
\(758\) | 9.68519 | − | 13.3305i | 0.351782 | − | 0.484186i | ||||
\(759\) | −2.32265 | + | 3.19686i | −0.0843069 | + | 0.116039i | ||||
\(760\) | 0.888158 | + | 5.60761i | 0.0322169 | + | 0.203409i | ||||
\(761\) | 31.5410 | − | 22.9159i | 1.14336 | − | 0.830700i | 0.155777 | − | 0.987792i | \(-0.450212\pi\) |
0.987584 | + | 0.157092i | \(0.0502119\pi\) | |||||||
\(762\) | 1.18461 | − | 2.32493i | 0.0429140 | − | 0.0842235i | ||||
\(763\) | 60.9449 | + | 44.2791i | 2.20635 | + | 1.60301i | ||||
\(764\) | 16.6231 | − | 8.46987i | 0.601401 | − | 0.306429i | ||||
\(765\) | −13.3154 | − | 13.3154i | −0.481418 | − | 0.481418i | ||||
\(766\) | −1.80186 | + | 11.3765i | −0.0651040 | + | 0.411051i | ||||
\(767\) | 15.1895 | + | 29.8112i | 0.548463 | + | 1.07642i | ||||
\(768\) | 3.26190 | + | 1.66202i | 0.117704 | + | 0.0599730i | ||||
\(769\) | −0.817089 | − | 2.51474i | −0.0294650 | − | 0.0906839i | 0.935243 | − | 0.354008i | \(-0.115181\pi\) |
−0.964708 | + | 0.263324i | \(0.915181\pi\) | |||||||
\(770\) | 14.0741i | 0.507196i | ||||||||
\(771\) | 2.44665 | − | 0.794965i | 0.0881139 | − | 0.0286299i | ||||
\(772\) | −4.82179 | + | 0.763696i | −0.173540 | + | 0.0274860i | ||||
\(773\) | −20.6803 | − | 3.27543i | −0.743817 | − | 0.117809i | −0.226988 | − | 0.973898i | \(-0.572888\pi\) |
−0.516829 | + | 0.856089i | \(0.672888\pi\) | |||||||
\(774\) | 10.4354 | + | 3.39067i | 0.375093 | + | 0.121875i | ||||
\(775\) | −0.119589 | + | 0.368056i | −0.00429575 | + | 0.0132210i | ||||
\(776\) | 7.14034 | − | 7.14034i | 0.256323 | − | 0.256323i | ||||
\(777\) | −4.21488 | − | 5.80128i | −0.151208 | − | 0.208120i | ||||
\(778\) | 0.205578 | 0.00737034 | ||||||||
\(779\) | −4.14443 | + | 4.58326i | −0.148490 | + | 0.164213i | ||||
\(780\) | 4.86116 | 0.174058 | ||||||||
\(781\) | 7.28548 | + | 10.0276i | 0.260695 | + | 0.358816i | ||||
\(782\) | 9.27507 | − | 9.27507i | 0.331676 | − | 0.331676i | ||||
\(783\) | 0.316285 | − | 0.973424i | 0.0113031 | − | 0.0347873i | ||||
\(784\) | −20.4182 | − | 6.63427i | −0.729220 | − | 0.236938i | ||||
\(785\) | −16.2409 | − | 2.57231i | −0.579663 | − | 0.0918095i | ||||
\(786\) | −3.89504 | + | 0.616914i | −0.138932 | + | 0.0220046i | ||||
\(787\) | 21.2772 | − | 6.91338i | 0.758450 | − | 0.246435i | 0.0958369 | − | 0.995397i | \(-0.469447\pi\) |
0.662613 | + | 0.748962i | \(0.269447\pi\) | |||||||
\(788\) | 20.3205i | 0.723888i | ||||||||
\(789\) | 1.26388 | + | 3.88981i | 0.0449952 | + | 0.138481i | ||||
\(790\) | −13.0342 | − | 6.64125i | −0.463735 | − | 0.236285i | ||||
\(791\) | 17.9854 | + | 35.2984i | 0.639488 | + | 1.25507i | ||||
\(792\) | 1.90134 | − | 12.0046i | 0.0675613 | − | 0.426566i | ||||
\(793\) | −1.95191 | − | 1.95191i | −0.0693142 | − | 0.0693142i | ||||
\(794\) | −17.8195 | + | 9.07951i | −0.632392 | + | 0.322220i | ||||
\(795\) | −5.03574 | − | 3.65868i | −0.178599 | − | 0.129760i | ||||
\(796\) | −6.31948 | + | 12.4027i | −0.223988 | + | 0.439602i | ||||
\(797\) | −16.2691 | + | 11.8202i | −0.576279 | + | 0.418691i | −0.837381 | − | 0.546620i | \(-0.815914\pi\) |
0.261101 | + | 0.965311i | \(0.415914\pi\) | |||||||
\(798\) | 0.179828 | + | 1.13539i | 0.00636583 | + | 0.0401923i | ||||
\(799\) | 8.11718 | − | 11.1723i | 0.287165 | − | 0.395249i | ||||
\(800\) | −2.24838 | + | 3.09463i | −0.0794921 | + | 0.109412i | ||||
\(801\) | −1.66065 | − | 10.4849i | −0.0586763 | − | 0.370467i | ||||
\(802\) | 3.87407 | − | 2.81468i | 0.136798 | − | 0.0993897i | ||||
\(803\) | −7.52732 | + | 14.7732i | −0.265633 | + | 0.521335i | ||||
\(804\) | −1.69951 | − | 1.23477i | −0.0599372 | − | 0.0435469i | ||||
\(805\) | −70.3340 | + | 35.8370i | −2.47895 | + | 1.26309i | ||||
\(806\) | −1.17079 | − | 1.17079i | −0.0412392 | − | 0.0412392i | ||||
\(807\) | 1.13696 | − | 7.17847i | 0.0400228 | − | 0.252694i | ||||
\(808\) | −11.7030 | − | 22.9684i | −0.411710 | − | 0.808026i | ||||
\(809\) | −8.18594 | − | 4.17095i | −0.287802 | − | 0.146643i | 0.304129 | − | 0.952631i | \(-0.401635\pi\) |
−0.591932 | + | 0.805988i | \(0.701635\pi\) | |||||||
\(810\) | 4.13108 | + | 12.7142i | 0.145151 | + | 0.446730i | ||||
\(811\) | 18.4060i | 0.646324i | 0.946344 | + | 0.323162i | \(0.104746\pi\) | ||||
−0.946344 | + | 0.323162i | \(0.895254\pi\) | |||||||
\(812\) | −3.55559 | + | 1.15528i | −0.124777 | + | 0.0405425i | ||||
\(813\) | 1.29876 | − | 0.205703i | 0.0455494 | − | 0.00721432i | ||||
\(814\) | −5.06158 | − | 0.801675i | −0.177408 | − | 0.0280987i | ||||
\(815\) | −17.4676 | − | 5.67557i | −0.611863 | − | 0.198806i | ||||
\(816\) | −0.364942 | + | 1.12318i | −0.0127755 | + | 0.0393190i | ||||
\(817\) | 3.67589 | − | 3.67589i | 0.128603 | − | 0.128603i | ||||
\(818\) | −7.02245 | − | 9.66557i | −0.245534 | − | 0.337949i | ||||
\(819\) | −56.2166 | −1.96437 | ||||||||
\(820\) | −22.8218 | + | 1.14749i | −0.796972 | + | 0.0400722i | ||||
\(821\) | 18.0353 | 0.629436 | 0.314718 | − | 0.949185i | \(-0.398090\pi\) | ||||
0.314718 | + | 0.949185i | \(0.398090\pi\) | |||||||
\(822\) | 2.52743 | + | 3.47871i | 0.0881542 | + | 0.121334i | ||||
\(823\) | −31.4518 | + | 31.4518i | −1.09634 | + | 1.09634i | −0.101506 | + | 0.994835i | \(0.532366\pi\) |
−0.994835 | + | 0.101506i | \(0.967634\pi\) | |||||||
\(824\) | 0.313287 | − | 0.964199i | 0.0109139 | − | 0.0335895i | ||||
\(825\) | −0.364760 | − | 0.118518i | −0.0126993 | − | 0.00412625i | ||||
\(826\) | −28.8980 | − | 4.57699i | −1.00549 | − | 0.159254i | ||||
\(827\) | 44.3599 | − | 7.02591i | 1.54254 | − | 0.244315i | 0.673551 | − | 0.739141i | \(-0.264768\pi\) |
0.868992 | + | 0.494826i | \(0.164768\pi\) | |||||||
\(828\) | 27.7919 | − | 9.03013i | 0.965835 | − | 0.313819i | ||||
\(829\) | 45.0253i | 1.56379i | 0.623409 | + | 0.781896i | \(0.285747\pi\) | ||||
−0.623409 | + | 0.781896i | \(0.714253\pi\) | |||||||
\(830\) | −2.50284 | − | 7.70296i | −0.0868750 | − | 0.267374i | ||||
\(831\) | −0.357044 | − | 0.181923i | −0.0123857 | − | 0.00631085i | ||||
\(832\) | −2.91333 | − | 5.71773i | −0.101001 | − | 0.198227i | ||||
\(833\) | −7.36382 | + | 46.4933i | −0.255141 | + | 1.61090i | ||||
\(834\) | 0.365242 | + | 0.365242i | 0.0126473 | + | 0.0126473i | ||||
\(835\) | 40.2170 | − | 20.4916i | 1.39177 | − | 0.709140i | ||||
\(836\) | −1.99701 | − | 1.45091i | −0.0690681 | − | 0.0501809i | ||||
\(837\) | 0.540727 | − | 1.06124i | 0.0186903 | − | 0.0366817i | ||||
\(838\) | −7.02766 | + | 5.10590i | −0.242767 | + | 0.176380i | ||||
\(839\) | 1.71160 | + | 10.8066i | 0.0590911 | + | 0.373087i | 0.999458 | + | 0.0329242i | \(0.0104820\pi\) |
−0.940367 | + | 0.340162i | \(0.889518\pi\) | |||||||
\(840\) | −5.82892 | + | 8.02282i | −0.201117 | + | 0.276814i | ||||
\(841\) | 16.8946 | − | 23.2534i | 0.582573 | − | 0.801842i | ||||
\(842\) | −3.22067 | − | 20.3345i | −0.110992 | − | 0.700773i | ||||
\(843\) | −4.91202 | + | 3.56879i | −0.169179 | + | 0.122916i | ||||
\(844\) | 18.5441 | − | 36.3948i | 0.638314 | − | 1.25276i | ||||
\(845\) | −5.31395 | − | 3.86081i | −0.182806 | − | 0.132816i | ||||
\(846\) | −9.12321 | + | 4.64851i | −0.313662 | + | 0.159819i | ||||
\(847\) | 28.1184 | + | 28.1184i | 0.966160 | + | 0.966160i | ||||
\(848\) | 1.49517 | − | 9.44011i | 0.0513442 | − | 0.324175i | ||||
\(849\) | 1.15427 | + | 2.26539i | 0.0396146 | + | 0.0777479i | ||||
\(850\) | 1.13435 | + | 0.577982i | 0.0389080 | + | 0.0198246i | ||||
\(851\) | −8.88201 | − | 27.3360i | −0.304471 | − | 0.937067i | ||||
\(852\) | 3.74376i | 0.128259i | ||||||||
\(853\) | 15.9051 | − | 5.16789i | 0.544581 | − | 0.176945i | −0.0237905 | − | 0.999717i | \(-0.507573\pi\) |
0.568372 | + | 0.822772i | \(0.307573\pi\) | |||||||
\(854\) | 2.38420 | − | 0.377621i | 0.0815857 | − | 0.0129219i | ||||
\(855\) | 6.53345 | + | 1.03480i | 0.223439 | + | 0.0353893i | ||||
\(856\) | −32.8900 | − | 10.6866i | −1.12416 | − | 0.365260i | ||||
\(857\) | 3.43704 | − | 10.5781i | 0.117407 | − | 0.361341i | −0.875034 | − | 0.484061i | \(-0.839161\pi\) |
0.992441 | + | 0.122719i | \(0.0391614\pi\) | |||||||
\(858\) | 1.16030 | − | 1.16030i | 0.0396120 | − | 0.0396120i | ||||
\(859\) | −27.8427 | − | 38.3222i | −0.949981 | − | 1.30754i | −0.951536 | − | 0.307538i | \(-0.900495\pi\) |
0.00155429 | − | 0.999999i | \(-0.499505\pi\) | |||||||
\(860\) | 19.2240 | 0.655532 | ||||||||
\(861\) | −10.7794 | + | 0.541995i | −0.367362 | + | 0.0184712i | ||||
\(862\) | −6.08343 | −0.207203 | ||||||||
\(863\) | −8.28362 | − | 11.4014i | −0.281978 | − | 0.388109i | 0.644410 | − | 0.764680i | \(-0.277103\pi\) |
−0.926388 | + | 0.376571i | \(0.877103\pi\) | |||||||
\(864\) | 8.32453 | − | 8.32453i | 0.283206 | − | 0.283206i | ||||
\(865\) | 9.53311 | − | 29.3399i | 0.324136 | − | 0.997587i | ||||
\(866\) | −7.95726 | − | 2.58547i | −0.270399 | − | 0.0878578i | ||||
\(867\) | −3.20346 | − | 0.507379i | −0.108795 | − | 0.0172315i | ||||
\(868\) | −4.29696 | + | 0.680572i | −0.145848 | + | 0.0231001i | ||||
\(869\) | 14.1109 | − | 4.58490i | 0.478679 | − | 0.155532i | ||||
\(870\) | 0.292433i | 0.00991441i | ||||||||
\(871\) | 5.00569 | + | 15.4059i | 0.169611 | + | 0.522010i | ||||
\(872\) | 33.7993 | + | 17.2216i | 1.14459 | + | 0.583198i | ||||
\(873\) | −5.34128 | − | 10.4828i | −0.180775 | − | 0.354791i | ||||
\(874\) | −0.720807 | + | 4.55100i | −0.0243817 | + | 0.153940i | ||||
\(875\) | 35.8895 | + | 35.8895i | 1.21329 | + | 1.21329i | ||||
\(876\) | −4.46214 | + | 2.27357i | −0.150762 | + | 0.0768169i | ||||
\(877\) | 28.6207 | + | 20.7942i | 0.966453 | + | 0.702169i | 0.954640 | − | 0.297761i | \(-0.0962398\pi\) |
0.0118127 | + | 0.999930i | \(0.496240\pi\) | |||||||
\(878\) | −9.75761 | + | 19.1504i | −0.329303 | + | 0.646294i | ||||
\(879\) | −2.87365 | + | 2.08783i | −0.0969259 | + | 0.0704208i | ||||
\(880\) | −0.794558 | − | 5.01664i | −0.0267846 | − | 0.169111i | ||||
\(881\) | −12.7504 | + | 17.5494i | −0.429572 | + | 0.591256i | −0.967855 | − | 0.251509i | \(-0.919073\pi\) |
0.538283 | + | 0.842764i | \(0.319073\pi\) | |||||||
\(882\) | 20.5149 | − | 28.2363i | 0.690772 | − | 0.950767i | ||||
\(883\) | −0.504234 | − | 3.18361i | −0.0169688 | − | 0.107137i | 0.977750 | − | 0.209773i | \(-0.0672724\pi\) |
−0.994719 | + | 0.102636i | \(0.967272\pi\) | |||||||
\(884\) | 13.2407 | − | 9.61990i | 0.445332 | − | 0.323552i | ||||
\(885\) | 3.12187 | − | 6.12701i | 0.104940 | − | 0.205957i | ||||
\(886\) | 7.63448 | + | 5.54677i | 0.256485 | + | 0.186347i | ||||
\(887\) | −12.8950 | + | 6.57032i | −0.432971 | + | 0.220610i | −0.656872 | − | 0.754002i | \(-0.728121\pi\) |
0.223901 | + | 0.974612i | \(0.428121\pi\) | |||||||
\(888\) | −2.55328 | − | 2.55328i | −0.0856826 | − | 0.0856826i | ||||
\(889\) | −8.27040 | + | 52.2172i | −0.277380 | + | 1.75131i | ||||
\(890\) | 2.81018 | + | 5.51528i | 0.0941973 | + | 0.184873i | ||||
\(891\) | −12.0811 | − | 6.15564i | −0.404733 | − | 0.206222i | ||||
\(892\) | 4.41971 | + | 13.6025i | 0.147983 | + | 0.455444i | ||||
\(893\) | 4.85111i | 0.162336i | ||||||||
\(894\) | −0.349896 | + | 0.113688i | −0.0117023 | + | 0.00380230i | ||||
\(895\) | 1.30014 | − | 0.205922i | 0.0434589 | − | 0.00688321i | ||||
\(896\) | −51.0649 | − | 8.08789i | −1.70596 | − | 0.270197i | ||||
\(897\) | 8.75296 | + | 2.84401i | 0.292253 | + | 0.0949588i | ||||
\(898\) | 5.49230 | − | 16.9036i | 0.183281 | − | 0.564080i | ||||
\(899\) | −0.211623 | + | 0.211623i | −0.00705803 | + | 0.00705803i | ||||
\(900\) | 1.66712 | + | 2.29459i | 0.0555705 | + | 0.0764862i | ||||
\(901\) | −20.9564 | −0.698160 | ||||||||
\(902\) | −5.17340 | + | 5.72118i | −0.172255 | + | 0.190495i | ||||
\(903\) | 9.08007 | 0.302166 | ||||||||
\(904\) | 11.7257 | + | 16.1391i | 0.389992 | + | 0.536778i | ||||
\(905\) | 40.4013 | − | 40.4013i | 1.34299 | − | 1.34299i | ||||
\(906\) | 0.157042 | − | 0.483325i | 0.00521736 | − | 0.0160574i | ||||
\(907\) | −40.1252 | − | 13.0375i | −1.33233 | − | 0.432902i | −0.445621 | − | 0.895222i | \(-0.647017\pi\) |
−0.886713 | + | 0.462320i | \(0.847017\pi\) | |||||||
\(908\) | −2.25663 | − | 0.357415i | −0.0748890 | − | 0.0118612i | ||||
\(909\) | −29.6643 | + | 4.69837i | −0.983904 | + | 0.155835i | ||||
\(910\) | 31.1753 | − | 10.1295i | 1.03345 | − | 0.335789i | ||||
\(911\) | − | 46.8754i | − | 1.55305i | −0.630087 | − | 0.776525i | \(-0.716981\pi\) | ||
0.630087 | − | 0.776525i | \(-0.283019\pi\) | |||||||
\(912\) | −0.128197 | − | 0.394550i | −0.00424503 | − | 0.0130649i | ||||
\(913\) | 7.31943 | + | 3.72944i | 0.242238 | + | 0.123426i | ||||
\(914\) | 10.3226 | + | 20.2593i | 0.341442 | + | 0.670118i | ||||
\(915\) | −0.0887516 | + | 0.560355i | −0.00293404 | + | 0.0185248i | ||||
\(916\) | 15.6411 | + | 15.6411i | 0.516796 | + | 0.516796i | ||||
\(917\) | 71.1930 | − | 36.2747i | 2.35100 | − | 1.19790i | ||||
\(918\) | −3.16993 | − | 2.30309i | −0.104623 | − | 0.0760131i | ||||
\(919\) | 11.8130 | − | 23.1843i | 0.389675 | − | 0.764780i | −0.609942 | − | 0.792446i | \(-0.708807\pi\) |
0.999617 | + | 0.0276656i | \(0.00880735\pi\) | |||||||
\(920\) | −32.1581 | + | 23.3642i | −1.06022 | + | 0.770295i | ||||
\(921\) | −0.0737310 | − | 0.465519i | −0.00242952 | − | 0.0153394i | ||||
\(922\) | 12.2298 | − | 16.8329i | 0.402768 | − | 0.554363i | ||||
\(923\) | 16.9684 | − | 23.3550i | 0.558522 | − | 0.768740i | ||||
\(924\) | −0.674477 | − | 4.25848i | −0.0221887 | − | 0.140094i | ||||
\(925\) | 2.25695 | − | 1.63977i | 0.0742080 | − | 0.0539153i | ||||
\(926\) | 6.58375 | − | 12.9213i | 0.216355 | − | 0.424622i | ||||
\(927\) | −0.955615 | − | 0.694295i | −0.0313865 | − | 0.0228036i | ||||
\(928\) | −2.63574 | + | 1.34298i | −0.0865224 | + | 0.0440853i | ||||
\(929\) | 25.6662 | + | 25.6662i | 0.842079 | + | 0.842079i | 0.989129 | − | 0.147050i | \(-0.0469778\pi\) |
−0.147050 | + | 0.989129i | \(0.546978\pi\) | |||||||
\(930\) | −0.0532347 | + | 0.336111i | −0.00174563 | + | 0.0110215i | ||||
\(931\) | −7.50710 | − | 14.7335i | −0.246035 | − | 0.482871i | ||||
\(932\) | 19.9046 | + | 10.1419i | 0.651997 | + | 0.332209i | ||||
\(933\) | 1.28819 | + | 3.96465i | 0.0421736 | + | 0.129797i | ||||
\(934\) | − | 17.4505i | − | 0.570999i | ||||||
\(935\) | −10.5916 | + | 3.44141i | −0.346381 | + | 0.112546i | ||||
\(936\) | −27.9597 | + | 4.42837i | −0.913890 | + | 0.144746i | ||||
\(937\) | 11.0570 | + | 1.75125i | 0.361216 | + | 0.0572110i | 0.334405 | − | 0.942430i | \(-0.391465\pi\) |
0.0268112 | + | 0.999641i | \(0.491465\pi\) | |||||||
\(938\) | −13.4722 | − | 4.37737i | −0.439882 | − | 0.142926i | ||||
\(939\) | −3.19287 | + | 9.82666i | −0.104196 | + | 0.320681i | ||||
\(940\) | −12.6850 | + | 12.6850i | −0.413740 | + | 0.413740i | ||||
\(941\) | −9.08708 | − | 12.5073i | −0.296230 | − | 0.407726i | 0.634795 | − | 0.772681i | \(-0.281085\pi\) |
−0.931025 | + | 0.364954i | \(0.881085\pi\) | |||||||
\(942\) | −1.67650 | −0.0546234 | ||||||||
\(943\) | −41.7641 | − | 11.2857i | −1.36003 | − | 0.367512i | ||||
\(944\) | 10.5589 | 0.343664 | ||||||||
\(945\) | 13.8600 | + | 19.0766i | 0.450865 | + | 0.620563i | ||||
\(946\) | 4.58853 | − | 4.58853i | 0.149186 | − | 0.149186i | ||||
\(947\) | −11.7171 | + | 36.0615i | −0.380755 | + | 1.17184i | 0.558758 | + | 0.829330i | \(0.311278\pi\) |
−0.939513 | + | 0.342512i | \(0.888722\pi\) | |||||||
\(948\) | 4.26209 | + | 1.38484i | 0.138426 | + | 0.0449774i | ||||
\(949\) | 38.1414 | + | 6.04101i | 1.23812 | + | 0.196100i | ||||
\(950\) | −0.441715 | + | 0.0699607i | −0.0143311 | + | 0.00226983i | ||||
\(951\) | 2.76436 | − | 0.898195i | 0.0896405 | − | 0.0291260i | ||||
\(952\) | 33.3873i | 1.08209i | ||||||||
\(953\) | −10.8163 | − | 33.2891i | −0.350373 | − | 1.07834i | −0.958644 | − | 0.284609i | \(-0.908136\pi\) |
0.608270 | − | 0.793730i | \(-0.291864\pi\) | |||||||
\(954\) | 13.8445 | + | 7.05414i | 0.448233 | + | 0.228386i | ||||
\(955\) | 13.4234 | + | 26.3449i | 0.434370 | + | 0.852499i | ||||
\(956\) | −3.13927 | + | 19.8205i | −0.101531 | + | 0.641042i | ||||
\(957\) | −0.209728 | − | 0.209728i | −0.00677954 | − | 0.00677954i | ||||
\(958\) | 18.2674 | − | 9.30769i | 0.590192 | − | 0.300718i | ||||
\(959\) | −70.4826 | − | 51.2086i | −2.27600 | − | 1.65361i | ||||
\(960\) | −0.598769 | + | 1.17515i | −0.0193252 | + | 0.0379278i | ||||
\(961\) | 24.7978 | − | 18.0166i | 0.799928 | − | 0.581182i | ||||
\(962\) | 1.86716 | + | 11.7888i | 0.0601997 | + | 0.380086i | ||||
\(963\) | −23.6832 | + | 32.5971i | −0.763180 | + | 1.05043i | ||||
\(964\) | −3.52390 | + | 4.85023i | −0.113497 | + | 0.156215i | ||||
\(965\) | −1.21034 | − | 7.64176i | −0.0389621 | − | 0.245997i | ||||
\(966\) | −6.51112 | + | 4.73061i | −0.209492 | + | 0.152205i | ||||
\(967\) | 8.63244 | − | 16.9421i | 0.277601 | − | 0.544822i | −0.709542 | − | 0.704663i | \(-0.751098\pi\) |
0.987143 | + | 0.159841i | \(0.0510982\pi\) | |||||||
\(968\) | 16.1999 | + | 11.7699i | 0.520683 | + | 0.378298i | ||||
\(969\) | −0.810471 | + | 0.412955i | −0.0260361 | + | 0.0132660i | ||||
\(970\) | 4.85092 | + | 4.85092i | 0.155754 | + | 0.155754i | ||||
\(971\) | −5.92738 | + | 37.4240i | −0.190219 | + | 1.20099i | 0.689067 | + | 0.724698i | \(0.258021\pi\) |
−0.879286 | + | 0.476295i | \(0.841979\pi\) | |||||||
\(972\) | −5.98407 | − | 11.7444i | −0.191939 | − | 0.376702i | ||||
\(973\) | −9.32482 | − | 4.75123i | −0.298940 | − | 0.152318i | ||||
\(974\) | 5.76097 | + | 17.7304i | 0.184593 | + | 0.568120i | ||||
\(975\) | 0.893272i | 0.0286076i | ||||||||
\(976\) | −0.828517 | + | 0.269202i | −0.0265202 | + | 0.00861693i | ||||
\(977\) | 21.7408 | − | 3.44341i | 0.695551 | − | 0.110164i | 0.201359 | − | 0.979517i | \(-0.435464\pi\) |
0.494191 | + | 0.869353i | \(0.335464\pi\) | |||||||
\(978\) | −1.84953 | − | 0.292936i | −0.0591413 | − | 0.00936707i | ||||
\(979\) | −5.97088 | − | 1.94006i | −0.190830 | − | 0.0620044i | ||||
\(980\) | 18.8961 | − | 58.1563i | 0.603615 | − | 1.85774i | ||||
\(981\) | 31.2519 | − | 31.2519i | 0.997797 | − | 0.997797i | ||||
\(982\) | −7.25876 | − | 9.99082i | −0.231636 | − | 0.318820i | ||||
\(983\) | −12.0990 | −0.385900 | −0.192950 | − | 0.981209i | \(-0.561805\pi\) | ||||
−0.192950 | + | 0.981209i | \(0.561805\pi\) | |||||||
\(984\) | −5.31853 | + | 1.11870i | −0.169548 | + | 0.0356628i | ||||
\(985\) | −32.2047 | −1.02613 | ||||||||
\(986\) | 0.578705 | + | 0.796518i | 0.0184297 | + | 0.0253663i | ||||
\(987\) | −5.99153 | + | 5.99153i | −0.190713 | + | 0.190713i | ||||
\(988\) | −1.77660 | + | 5.46780i | −0.0565211 | + | 0.173954i | ||||
\(989\) | 34.6145 | + | 11.2469i | 1.10068 | + | 0.357632i | ||||
\(990\) | 8.15555 | + | 1.29171i | 0.259201 | + | 0.0410533i | ||||
\(991\) | −37.0961 | + | 5.87545i | −1.17840 | + | 0.186640i | −0.714750 | − | 0.699380i | \(-0.753459\pi\) |
−0.463647 | + | 0.886020i | \(0.653459\pi\) | |||||||
\(992\) | −3.27389 | + | 1.06375i | −0.103946 | + | 0.0337741i | ||||
\(993\) | − | 3.58403i | − | 0.113736i | ||||||
\(994\) | 7.80108 | + | 24.0092i | 0.247435 | + | 0.761527i | ||||
\(995\) | −19.6563 | − | 10.0154i | −0.623145 | − | 0.317508i | ||||
\(996\) | 1.12645 | + | 2.21078i | 0.0356929 | + | 0.0700513i | ||||
\(997\) | −1.20345 | + | 7.59830i | −0.0381137 | + | 0.240641i | −0.999389 | − | 0.0349491i | \(-0.988873\pi\) |
0.961275 | + | 0.275590i | \(0.0888731\pi\) | |||||||
\(998\) | −3.15815 | − | 3.15815i | −0.0999694 | − | 0.0999694i | ||||
\(999\) | −7.65014 | + | 3.89794i | −0.242040 | + | 0.123325i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 41.2.g.a.36.2 | yes | 24 | |
3.2 | odd | 2 | 369.2.u.a.118.2 | 24 | |||
4.3 | odd | 2 | 656.2.bs.d.241.2 | 24 | |||
41.7 | odd | 40 | 1681.2.a.m.1.14 | 24 | |||
41.8 | even | 20 | inner | 41.2.g.a.8.2 | ✓ | 24 | |
41.34 | odd | 40 | 1681.2.a.m.1.13 | 24 | |||
123.8 | odd | 20 | 369.2.u.a.172.2 | 24 | |||
164.131 | odd | 20 | 656.2.bs.d.49.2 | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
41.2.g.a.8.2 | ✓ | 24 | 41.8 | even | 20 | inner | |
41.2.g.a.36.2 | yes | 24 | 1.1 | even | 1 | trivial | |
369.2.u.a.118.2 | 24 | 3.2 | odd | 2 | |||
369.2.u.a.172.2 | 24 | 123.8 | odd | 20 | |||
656.2.bs.d.49.2 | 24 | 164.131 | odd | 20 | |||
656.2.bs.d.241.2 | 24 | 4.3 | odd | 2 | |||
1681.2.a.m.1.13 | 24 | 41.34 | odd | 40 | |||
1681.2.a.m.1.14 | 24 | 41.7 | odd | 40 |