Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,2,Mod(31,690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(690, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 0, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.31");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.m (of order \(11\), 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: | \(5.50967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Coefficient field: | \(\Q(\zeta_{22})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} - x^{9} + x^{8} - x^{7} + x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 271.1 | ||
Root | \(0.654861 + 0.755750i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 690.271 |
Dual form | 690.2.m.a.331.1 |
$q$-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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{6}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.959493 | − | 0.281733i | −0.678464 | − | 0.199215i | ||||
\(3\) | −0.654861 | + | 0.755750i | −0.378084 | + | 0.436332i | ||||
\(4\) | 0.841254 | + | 0.540641i | 0.420627 | + | 0.270320i | ||||
\(5\) | 0.142315 | − | 0.989821i | 0.0636451 | − | 0.442662i | ||||
\(6\) | 0.841254 | − | 0.540641i | 0.343440 | − | 0.220716i | ||||
\(7\) | −1.24302 | − | 2.72183i | −0.469816 | − | 1.02875i | −0.985139 | − | 0.171758i | \(-0.945055\pi\) |
0.515323 | − | 0.856996i | \(-0.327672\pi\) | |||||||
\(8\) | −0.654861 | − | 0.755750i | −0.231528 | − | 0.267198i | ||||
\(9\) | −0.142315 | − | 0.989821i | −0.0474383 | − | 0.329940i | ||||
\(10\) | −0.415415 | + | 0.909632i | −0.131366 | + | 0.287651i | ||||
\(11\) | −2.90255 | + | 0.852267i | −0.875153 | + | 0.256968i | −0.688306 | − | 0.725421i | \(-0.741645\pi\) |
−0.186847 | + | 0.982389i | \(0.559827\pi\) | |||||||
\(12\) | −0.959493 | + | 0.281733i | −0.276982 | + | 0.0813292i | ||||
\(13\) | −2.32398 | + | 5.08880i | −0.644555 | + | 1.41138i | 0.251684 | + | 0.967809i | \(0.419016\pi\) |
−0.896240 | + | 0.443570i | \(0.853712\pi\) | |||||||
\(14\) | 0.425839 | + | 2.96177i | 0.113810 | + | 0.791567i | ||||
\(15\) | 0.654861 | + | 0.755750i | 0.169084 | + | 0.195134i | ||||
\(16\) | 0.415415 | + | 0.909632i | 0.103854 | + | 0.227408i | ||||
\(17\) | 2.15486 | − | 1.38484i | 0.522630 | − | 0.335874i | −0.252581 | − | 0.967576i | \(-0.581280\pi\) |
0.775212 | + | 0.631701i | \(0.217643\pi\) | |||||||
\(18\) | −0.142315 | + | 0.989821i | −0.0335439 | + | 0.233303i | ||||
\(19\) | 4.20574 | + | 2.70286i | 0.964862 | + | 0.620079i | 0.925340 | − | 0.379139i | \(-0.123780\pi\) |
0.0395228 | + | 0.999219i | \(0.487416\pi\) | |||||||
\(20\) | 0.654861 | − | 0.755750i | 0.146431 | − | 0.168991i | ||||
\(21\) | 2.87102 | + | 0.843008i | 0.626508 | + | 0.183959i | ||||
\(22\) | 3.02509 | 0.644952 | ||||||||
\(23\) | −4.04911 | + | 2.56996i | −0.844299 | + | 0.535873i | ||||
\(24\) | 1.00000 | 0.204124 | ||||||||
\(25\) | −0.959493 | − | 0.281733i | −0.191899 | − | 0.0563465i | ||||
\(26\) | 3.66352 | − | 4.22793i | 0.718476 | − | 0.829165i | ||||
\(27\) | 0.841254 | + | 0.540641i | 0.161899 | + | 0.104046i | ||||
\(28\) | 0.425839 | − | 2.96177i | 0.0804759 | − | 0.559722i | ||||
\(29\) | −0.575708 | + | 0.369985i | −0.106906 | + | 0.0687044i | −0.593001 | − | 0.805201i | \(-0.702057\pi\) |
0.486095 | + | 0.873906i | \(0.338421\pi\) | |||||||
\(30\) | −0.415415 | − | 0.909632i | −0.0758441 | − | 0.166075i | ||||
\(31\) | 4.81305 | + | 5.55455i | 0.864449 | + | 0.997627i | 0.999977 | + | 0.00685356i | \(0.00218157\pi\) |
−0.135528 | + | 0.990774i | \(0.543273\pi\) | |||||||
\(32\) | −0.142315 | − | 0.989821i | −0.0251579 | − | 0.174977i | ||||
\(33\) | 1.25667 | − | 2.75172i | 0.218758 | − | 0.479013i | ||||
\(34\) | −2.45773 | + | 0.721655i | −0.421497 | + | 0.123763i | ||||
\(35\) | −2.87102 | + | 0.843008i | −0.485291 | + | 0.142494i | ||||
\(36\) | 0.415415 | − | 0.909632i | 0.0692358 | − | 0.151605i | ||||
\(37\) | 0.504587 | + | 3.50948i | 0.0829536 | + | 0.576955i | 0.988328 | + | 0.152341i | \(0.0486812\pi\) |
−0.905374 | + | 0.424614i | \(0.860410\pi\) | |||||||
\(38\) | −3.27389 | − | 3.77827i | −0.531095 | − | 0.612917i | ||||
\(39\) | −2.32398 | − | 5.08880i | −0.372134 | − | 0.814860i | ||||
\(40\) | −0.841254 | + | 0.540641i | −0.133014 | + | 0.0854828i | ||||
\(41\) | −0.414383 | + | 2.88210i | −0.0647158 | + | 0.450108i | 0.931539 | + | 0.363642i | \(0.118467\pi\) |
−0.996255 | + | 0.0864668i | \(0.972442\pi\) | |||||||
\(42\) | −2.51722 | − | 1.61772i | −0.388416 | − | 0.249620i | ||||
\(43\) | −6.05965 | + | 6.99321i | −0.924089 | + | 1.06646i | 0.0735168 | + | 0.997294i | \(0.476578\pi\) |
−0.997605 | + | 0.0691612i | \(0.977968\pi\) | |||||||
\(44\) | −2.90255 | − | 0.852267i | −0.437577 | − | 0.128484i | ||||
\(45\) | −1.00000 | −0.149071 | ||||||||
\(46\) | 4.60914 | − | 1.32509i | 0.679580 | − | 0.195374i | ||||
\(47\) | −7.62455 | −1.11216 | −0.556078 | − | 0.831130i | \(-0.687694\pi\) | ||||
−0.556078 | + | 0.831130i | \(0.687694\pi\) | |||||||
\(48\) | −0.959493 | − | 0.281733i | −0.138491 | − | 0.0406646i | ||||
\(49\) | −1.27923 | + | 1.47631i | −0.182747 | + | 0.210901i | ||||
\(50\) | 0.841254 | + | 0.540641i | 0.118971 | + | 0.0764582i | ||||
\(51\) | −0.364538 | + | 2.53542i | −0.0510455 | + | 0.355029i | ||||
\(52\) | −4.70627 | + | 3.02453i | −0.652642 | + | 0.419427i | ||||
\(53\) | −2.27541 | − | 4.98245i | −0.312552 | − | 0.684392i | 0.686536 | − | 0.727096i | \(-0.259130\pi\) |
−0.999088 | + | 0.0427031i | \(0.986403\pi\) | |||||||
\(54\) | −0.654861 | − | 0.755750i | −0.0891153 | − | 0.102844i | ||||
\(55\) | 0.430515 | + | 2.99430i | 0.0580507 | + | 0.403751i | ||||
\(56\) | −1.24302 | + | 2.72183i | −0.166105 | + | 0.363719i | ||||
\(57\) | −4.79686 | + | 1.40849i | −0.635360 | + | 0.186558i | ||||
\(58\) | 0.656624 | − | 0.192802i | 0.0862190 | − | 0.0253162i | ||||
\(59\) | −5.20719 | + | 11.4021i | −0.677918 | + | 1.48443i | 0.186916 | + | 0.982376i | \(0.440151\pi\) |
−0.864834 | + | 0.502057i | \(0.832577\pi\) | |||||||
\(60\) | 0.142315 | + | 0.989821i | 0.0183728 | + | 0.127785i | ||||
\(61\) | 8.84419 | + | 10.2067i | 1.13238 | + | 1.30684i | 0.945928 | + | 0.324376i | \(0.105154\pi\) |
0.186455 | + | 0.982464i | \(0.440300\pi\) | |||||||
\(62\) | −3.05319 | − | 6.68555i | −0.387755 | − | 0.849065i | ||||
\(63\) | −2.51722 | + | 1.61772i | −0.317140 | + | 0.203814i | ||||
\(64\) | −0.142315 | + | 0.989821i | −0.0177894 | + | 0.123728i | ||||
\(65\) | 4.70627 | + | 3.02453i | 0.583741 | + | 0.375147i | ||||
\(66\) | −1.98101 | + | 2.28621i | −0.243846 | + | 0.281413i | ||||
\(67\) | −2.15353 | − | 0.632333i | −0.263096 | − | 0.0772518i | 0.147524 | − | 0.989058i | \(-0.452870\pi\) |
−0.410620 | + | 0.911807i | \(0.634688\pi\) | |||||||
\(68\) | 2.56149 | 0.310626 | ||||||||
\(69\) | 0.709362 | − | 4.74308i | 0.0853972 | − | 0.571000i | ||||
\(70\) | 2.99223 | 0.357640 | ||||||||
\(71\) | −6.54316 | − | 1.92124i | −0.776530 | − | 0.228010i | −0.130629 | − | 0.991431i | \(-0.541700\pi\) |
−0.645901 | + | 0.763421i | \(0.723518\pi\) | |||||||
\(72\) | −0.654861 | + | 0.755750i | −0.0771761 | + | 0.0890659i | ||||
\(73\) | 2.45763 | + | 1.57942i | 0.287644 | + | 0.184858i | 0.676503 | − | 0.736440i | \(-0.263494\pi\) |
−0.388859 | + | 0.921297i | \(0.627131\pi\) | |||||||
\(74\) | 0.504587 | − | 3.50948i | 0.0586571 | − | 0.407969i | ||||
\(75\) | 0.841254 | − | 0.540641i | 0.0971396 | − | 0.0624278i | ||||
\(76\) | 2.07681 | + | 4.54759i | 0.238227 | + | 0.521644i | ||||
\(77\) | 5.92765 | + | 6.84087i | 0.675518 | + | 0.779589i | ||||
\(78\) | 0.796159 | + | 5.53741i | 0.0901473 | + | 0.626988i | ||||
\(79\) | 2.28519 | − | 5.00387i | 0.257104 | − | 0.562979i | −0.736430 | − | 0.676514i | \(-0.763490\pi\) |
0.993534 | + | 0.113535i | \(0.0362173\pi\) | |||||||
\(80\) | 0.959493 | − | 0.281733i | 0.107275 | − | 0.0314987i | ||||
\(81\) | −0.959493 | + | 0.281733i | −0.106610 | + | 0.0313036i | ||||
\(82\) | 1.20958 | − | 2.64861i | 0.133576 | − | 0.292490i | ||||
\(83\) | −0.408281 | − | 2.83966i | −0.0448147 | − | 0.311693i | −0.999883 | − | 0.0153067i | \(-0.995128\pi\) |
0.955068 | − | 0.296386i | \(-0.0957815\pi\) | |||||||
\(84\) | 1.95949 | + | 2.26138i | 0.213798 | + | 0.246736i | ||||
\(85\) | −1.06408 | − | 2.33001i | −0.115416 | − | 0.252725i | ||||
\(86\) | 7.78441 | − | 5.00274i | 0.839415 | − | 0.539459i | ||||
\(87\) | 0.0973924 | − | 0.677379i | 0.0104416 | − | 0.0726227i | ||||
\(88\) | 2.54487 | + | 1.63549i | 0.271284 | + | 0.174344i | ||||
\(89\) | 1.92565 | − | 2.22232i | 0.204119 | − | 0.235565i | −0.644456 | − | 0.764642i | \(-0.722916\pi\) |
0.848574 | + | 0.529076i | \(0.177461\pi\) | |||||||
\(90\) | 0.959493 | + | 0.281733i | 0.101139 | + | 0.0296972i | ||||
\(91\) | 16.7396 | 1.75478 | ||||||||
\(92\) | −4.79575 | − | 0.0271313i | −0.499992 | − | 0.00282863i | ||||
\(93\) | −7.34973 | −0.762131 | ||||||||
\(94\) | 7.31570 | + | 2.14808i | 0.754557 | + | 0.221558i | ||||
\(95\) | 3.27389 | − | 3.77827i | 0.335894 | − | 0.387643i | ||||
\(96\) | 0.841254 | + | 0.540641i | 0.0858601 | + | 0.0551789i | ||||
\(97\) | 1.06318 | − | 7.39460i | 0.107950 | − | 0.750808i | −0.861895 | − | 0.507086i | \(-0.830723\pi\) |
0.969845 | − | 0.243722i | \(-0.0783683\pi\) | |||||||
\(98\) | 1.64333 | − | 1.05610i | 0.166002 | − | 0.106683i | ||||
\(99\) | 1.25667 | + | 2.75172i | 0.126300 | + | 0.276558i | ||||
\(100\) | −0.654861 | − | 0.755750i | −0.0654861 | − | 0.0755750i | ||||
\(101\) | 0.979217 | + | 6.81060i | 0.0974357 | + | 0.677680i | 0.978736 | + | 0.205124i | \(0.0657597\pi\) |
−0.881300 | + | 0.472557i | \(0.843331\pi\) | |||||||
\(102\) | 1.06408 | − | 2.33001i | 0.105360 | − | 0.230706i | ||||
\(103\) | −14.4145 | + | 4.23248i | −1.42030 | + | 0.417039i | −0.899606 | − | 0.436703i | \(-0.856146\pi\) |
−0.520697 | + | 0.853741i | \(0.674328\pi\) | |||||||
\(104\) | 5.36774 | − | 1.57611i | 0.526350 | − | 0.154550i | ||||
\(105\) | 1.24302 | − | 2.72183i | 0.121306 | − | 0.265623i | ||||
\(106\) | 0.779521 | + | 5.42168i | 0.0757137 | + | 0.526601i | ||||
\(107\) | −6.16589 | − | 7.11582i | −0.596080 | − | 0.687912i | 0.374903 | − | 0.927064i | \(-0.377676\pi\) |
−0.970982 | + | 0.239152i | \(0.923131\pi\) | |||||||
\(108\) | 0.415415 | + | 0.909632i | 0.0399733 | + | 0.0875294i | ||||
\(109\) | −9.36325 | + | 6.01740i | −0.896837 | + | 0.576362i | −0.905851 | − | 0.423597i | \(-0.860767\pi\) |
0.00901380 | + | 0.999959i | \(0.497131\pi\) | |||||||
\(110\) | 0.430515 | − | 2.99430i | 0.0410480 | − | 0.285495i | ||||
\(111\) | −2.98272 | − | 1.91688i | −0.283108 | − | 0.181942i | ||||
\(112\) | 1.95949 | − | 2.26138i | 0.185155 | − | 0.213680i | ||||
\(113\) | 10.3546 | + | 3.04037i | 0.974076 | + | 0.286014i | 0.729777 | − | 0.683686i | \(-0.239624\pi\) |
0.244299 | + | 0.969700i | \(0.421442\pi\) | |||||||
\(114\) | 4.99937 | 0.468234 | ||||||||
\(115\) | 1.96755 | + | 4.37364i | 0.183475 | + | 0.407844i | ||||
\(116\) | −0.684345 | −0.0635398 | ||||||||
\(117\) | 5.36774 | + | 1.57611i | 0.496248 | + | 0.145711i | ||||
\(118\) | 8.20862 | − | 9.47325i | 0.755664 | − | 0.872083i | ||||
\(119\) | −6.44784 | − | 4.14377i | −0.591072 | − | 0.379859i | ||||
\(120\) | 0.142315 | − | 0.989821i | 0.0129915 | − | 0.0903579i | ||||
\(121\) | −1.55533 | + | 0.999547i | −0.141393 | + | 0.0908679i | ||||
\(122\) | −5.61037 | − | 12.2850i | −0.507939 | − | 1.11223i | ||||
\(123\) | −1.90678 | − | 2.20054i | −0.171929 | − | 0.198416i | ||||
\(124\) | 1.04598 | + | 7.27492i | 0.0939313 | + | 0.653307i | ||||
\(125\) | −0.415415 | + | 0.909632i | −0.0371558 | + | 0.0813600i | ||||
\(126\) | 2.87102 | − | 0.843008i | 0.255771 | − | 0.0751011i | ||||
\(127\) | −9.46676 | + | 2.77969i | −0.840039 | + | 0.246658i | −0.673324 | − | 0.739347i | \(-0.735134\pi\) |
−0.166715 | + | 0.986005i | \(0.553316\pi\) | |||||||
\(128\) | 0.415415 | − | 0.909632i | 0.0367178 | − | 0.0804009i | ||||
\(129\) | −1.31689 | − | 9.15916i | −0.115946 | − | 0.806419i | ||||
\(130\) | −3.66352 | − | 4.22793i | −0.321312 | − | 0.370814i | ||||
\(131\) | −2.20012 | − | 4.81759i | −0.192225 | − | 0.420915i | 0.788838 | − | 0.614601i | \(-0.210683\pi\) |
−0.981064 | + | 0.193686i | \(0.937956\pi\) | |||||||
\(132\) | 2.54487 | − | 1.63549i | 0.221502 | − | 0.142351i | ||||
\(133\) | 2.12892 | − | 14.8070i | 0.184601 | − | 1.28393i | ||||
\(134\) | 1.88815 | + | 1.21344i | 0.163111 | + | 0.104825i | ||||
\(135\) | 0.654861 | − | 0.755750i | 0.0563614 | − | 0.0650446i | ||||
\(136\) | −2.45773 | − | 0.721655i | −0.210749 | − | 0.0618814i | ||||
\(137\) | 9.61085 | 0.821110 | 0.410555 | − | 0.911836i | \(-0.365335\pi\) | ||||
0.410555 | + | 0.911836i | \(0.365335\pi\) | |||||||
\(138\) | −2.01691 | + | 4.35110i | −0.171691 | + | 0.370390i | ||||
\(139\) | −16.9568 | −1.43825 | −0.719127 | − | 0.694879i | \(-0.755458\pi\) | ||||
−0.719127 | + | 0.694879i | \(0.755458\pi\) | |||||||
\(140\) | −2.87102 | − | 0.843008i | −0.242646 | − | 0.0712472i | ||||
\(141\) | 4.99302 | − | 5.76225i | 0.420488 | − | 0.485269i | ||||
\(142\) | 5.73684 | + | 3.68684i | 0.481425 | + | 0.309393i | ||||
\(143\) | 2.40845 | − | 16.7512i | 0.201405 | − | 1.40080i | ||||
\(144\) | 0.841254 | − | 0.540641i | 0.0701045 | − | 0.0450534i | ||||
\(145\) | 0.284287 | + | 0.622502i | 0.0236088 | + | 0.0516960i | ||||
\(146\) | −1.91311 | − | 2.20784i | −0.158330 | − | 0.182722i | ||||
\(147\) | −0.278002 | − | 1.93355i | −0.0229292 | − | 0.159476i | ||||
\(148\) | −1.47288 | + | 3.22516i | −0.121070 | + | 0.265107i | ||||
\(149\) | 2.00509 | − | 0.588747i | 0.164263 | − | 0.0482321i | −0.198567 | − | 0.980087i | \(-0.563629\pi\) |
0.362830 | + | 0.931855i | \(0.381811\pi\) | |||||||
\(150\) | −0.959493 | + | 0.281733i | −0.0783423 | + | 0.0230034i | ||||
\(151\) | 7.89041 | − | 17.2776i | 0.642113 | − | 1.40603i | −0.256178 | − | 0.966630i | \(-0.582463\pi\) |
0.898291 | − | 0.439401i | \(-0.144809\pi\) | |||||||
\(152\) | −0.711485 | − | 4.94848i | −0.0577090 | − | 0.401375i | ||||
\(153\) | −1.67742 | − | 1.93584i | −0.135611 | − | 0.156504i | ||||
\(154\) | −3.76024 | − | 8.23378i | −0.303009 | − | 0.663497i | ||||
\(155\) | 6.18298 | − | 3.97356i | 0.496629 | − | 0.319164i | ||||
\(156\) | 0.796159 | − | 5.53741i | 0.0637437 | − | 0.443348i | ||||
\(157\) | 13.1142 | + | 8.42801i | 1.04663 | + | 0.672629i | 0.946618 | − | 0.322357i | \(-0.104475\pi\) |
0.100013 | + | 0.994986i | \(0.468112\pi\) | |||||||
\(158\) | −3.60238 | + | 4.15736i | −0.286590 | + | 0.330742i | ||||
\(159\) | 5.25556 | + | 1.54317i | 0.416793 | + | 0.122382i | ||||
\(160\) | −1.00000 | −0.0790569 | ||||||||
\(161\) | 12.0281 | + | 7.82649i | 0.947946 | + | 0.616814i | ||||
\(162\) | 1.00000 | 0.0785674 | ||||||||
\(163\) | 19.9612 | + | 5.86114i | 1.56348 | + | 0.459080i | 0.945096 | − | 0.326793i | \(-0.105968\pi\) |
0.618387 | + | 0.785873i | \(0.287786\pi\) | |||||||
\(164\) | −1.90678 | + | 2.20054i | −0.148895 | + | 0.171834i | ||||
\(165\) | −2.54487 | − | 1.63549i | −0.198118 | − | 0.127323i | ||||
\(166\) | −0.408281 | + | 2.83966i | −0.0316888 | + | 0.220400i | ||||
\(167\) | −1.05042 | + | 0.675063i | −0.0812838 | + | 0.0522379i | −0.580651 | − | 0.814152i | \(-0.697202\pi\) |
0.499368 | + | 0.866390i | \(0.333566\pi\) | |||||||
\(168\) | −1.24302 | − | 2.72183i | −0.0959008 | − | 0.209993i | ||||
\(169\) | −11.9818 | − | 13.8278i | −0.921679 | − | 1.06367i | ||||
\(170\) | 0.364538 | + | 2.53542i | 0.0279588 | + | 0.194458i | ||||
\(171\) | 2.07681 | − | 4.54759i | 0.158818 | − | 0.347763i | ||||
\(172\) | −8.87852 | + | 2.60697i | −0.676981 | + | 0.198780i | ||||
\(173\) | 5.56728 | − | 1.63470i | 0.423273 | − | 0.124284i | −0.0631574 | − | 0.998004i | \(-0.520117\pi\) |
0.486430 | + | 0.873719i | \(0.338299\pi\) | |||||||
\(174\) | −0.284287 | + | 0.622502i | −0.0215518 | + | 0.0471918i | ||||
\(175\) | 0.425839 | + | 2.96177i | 0.0321904 | + | 0.223889i | ||||
\(176\) | −1.98101 | − | 2.28621i | −0.149325 | − | 0.172330i | ||||
\(177\) | −5.20719 | − | 11.4021i | −0.391396 | − | 0.857038i | ||||
\(178\) | −2.47375 | + | 1.58978i | −0.185415 | + | 0.119159i | ||||
\(179\) | 3.28155 | − | 22.8237i | 0.245274 | − | 1.70592i | −0.379563 | − | 0.925166i | \(-0.623926\pi\) |
0.624837 | − | 0.780755i | \(-0.285165\pi\) | |||||||
\(180\) | −0.841254 | − | 0.540641i | −0.0627033 | − | 0.0402970i | ||||
\(181\) | 4.29499 | − | 4.95668i | 0.319244 | − | 0.368427i | −0.573333 | − | 0.819323i | \(-0.694350\pi\) |
0.892577 | + | 0.450895i | \(0.148895\pi\) | |||||||
\(182\) | −16.0615 | − | 4.71608i | −1.19056 | − | 0.349579i | ||||
\(183\) | −13.5055 | −0.998352 | ||||||||
\(184\) | 4.59385 | + | 1.37715i | 0.338663 | + | 0.101525i | ||||
\(185\) | 3.54557 | 0.260676 | ||||||||
\(186\) | 7.05201 | + | 2.07066i | 0.517079 | + | 0.151828i | ||||
\(187\) | −5.07434 | + | 5.85610i | −0.371073 | + | 0.428241i | ||||
\(188\) | −6.41418 | − | 4.12214i | −0.467802 | − | 0.300638i | ||||
\(189\) | 0.425839 | − | 2.96177i | 0.0309752 | − | 0.215437i | ||||
\(190\) | −4.20574 | + | 2.70286i | −0.305116 | + | 0.196086i | ||||
\(191\) | 9.50026 | + | 20.8027i | 0.687415 | + | 1.50523i | 0.854591 | + | 0.519302i | \(0.173808\pi\) |
−0.167176 | + | 0.985927i | \(0.553465\pi\) | |||||||
\(192\) | −0.654861 | − | 0.755750i | −0.0472605 | − | 0.0545415i | ||||
\(193\) | −3.08416 | − | 21.4508i | −0.222003 | − | 1.54406i | −0.730447 | − | 0.682969i | \(-0.760688\pi\) |
0.508444 | − | 0.861095i | \(-0.330221\pi\) | |||||||
\(194\) | −3.10342 | + | 6.79553i | −0.222812 | + | 0.487891i | ||||
\(195\) | −5.36774 | + | 1.57611i | −0.384392 | + | 0.112868i | ||||
\(196\) | −1.87430 | + | 0.550345i | −0.133879 | + | 0.0393104i | ||||
\(197\) | −8.16696 | + | 17.8832i | −0.581872 | + | 1.27412i | 0.358359 | + | 0.933584i | \(0.383337\pi\) |
−0.940231 | + | 0.340538i | \(0.889391\pi\) | |||||||
\(198\) | −0.430515 | − | 2.99430i | −0.0305954 | − | 0.212796i | ||||
\(199\) | −4.70330 | − | 5.42790i | −0.333408 | − | 0.384774i | 0.564148 | − | 0.825674i | \(-0.309205\pi\) |
−0.897556 | + | 0.440900i | \(0.854659\pi\) | |||||||
\(200\) | 0.415415 | + | 0.909632i | 0.0293743 | + | 0.0643207i | ||||
\(201\) | 1.88815 | − | 1.21344i | 0.133180 | − | 0.0855894i | ||||
\(202\) | 0.979217 | − | 6.81060i | 0.0688975 | − | 0.479192i | ||||
\(203\) | 1.72265 | + | 1.10708i | 0.120906 | + | 0.0777017i | ||||
\(204\) | −1.67742 | + | 1.93584i | −0.117443 | + | 0.135536i | ||||
\(205\) | 2.79379 | + | 0.820331i | 0.195127 | + | 0.0572944i | ||||
\(206\) | 15.0230 | 1.04670 | ||||||||
\(207\) | 3.12005 | + | 3.64216i | 0.216858 | + | 0.253147i | ||||
\(208\) | −5.59435 | −0.387898 | ||||||||
\(209\) | −14.5109 | − | 4.26080i | −1.00374 | − | 0.294726i | ||||
\(210\) | −1.95949 | + | 2.26138i | −0.135218 | + | 0.156050i | ||||
\(211\) | −15.8142 | − | 10.1632i | −1.08870 | − | 0.699662i | −0.132146 | − | 0.991230i | \(-0.542187\pi\) |
−0.956550 | + | 0.291568i | \(0.905823\pi\) | |||||||
\(212\) | 0.779521 | − | 5.42168i | 0.0535377 | − | 0.372363i | ||||
\(213\) | 5.73684 | − | 3.68684i | 0.393082 | − | 0.252618i | ||||
\(214\) | 3.91137 | + | 8.56471i | 0.267376 | + | 0.585472i | ||||
\(215\) | 6.05965 | + | 6.99321i | 0.413265 | + | 0.476933i | ||||
\(216\) | −0.142315 | − | 0.989821i | −0.00968330 | − | 0.0673488i | ||||
\(217\) | 9.13583 | − | 20.0047i | 0.620181 | − | 1.35801i | ||||
\(218\) | 10.6793 | − | 3.13572i | 0.723291 | − | 0.212378i | ||||
\(219\) | −2.80306 | + | 0.823052i | −0.189413 | + | 0.0556167i | ||||
\(220\) | −1.25667 | + | 2.75172i | −0.0847246 | + | 0.185521i | ||||
\(221\) | 2.03935 | + | 14.1840i | 0.137182 | + | 0.954119i | ||||
\(222\) | 2.32186 | + | 2.67956i | 0.155833 | + | 0.179841i | ||||
\(223\) | 6.74620 | + | 14.7721i | 0.451759 | + | 0.989214i | 0.989289 | + | 0.145969i | \(0.0466301\pi\) |
−0.537530 | + | 0.843244i | \(0.680643\pi\) | |||||||
\(224\) | −2.51722 | + | 1.61772i | −0.168189 | + | 0.108089i | ||||
\(225\) | −0.142315 | + | 0.989821i | −0.00948766 | + | 0.0659881i | ||||
\(226\) | −9.07856 | − | 5.83444i | −0.603897 | − | 0.388101i | ||||
\(227\) | 3.90748 | − | 4.50948i | 0.259349 | − | 0.299304i | −0.611110 | − | 0.791546i | \(-0.709277\pi\) |
0.870459 | + | 0.492241i | \(0.163822\pi\) | |||||||
\(228\) | −4.79686 | − | 1.40849i | −0.317680 | − | 0.0932792i | ||||
\(229\) | 1.08309 | 0.0715724 | 0.0357862 | − | 0.999359i | \(-0.488606\pi\) | ||||
0.0357862 | + | 0.999359i | \(0.488606\pi\) | |||||||
\(230\) | −0.655652 | − | 4.75080i | −0.0432324 | − | 0.313259i | ||||
\(231\) | −9.05177 | −0.595562 | ||||||||
\(232\) | 0.656624 | + | 0.192802i | 0.0431095 | + | 0.0126581i | ||||
\(233\) | −2.44828 | + | 2.82547i | −0.160392 | + | 0.185103i | −0.830257 | − | 0.557380i | \(-0.811807\pi\) |
0.669865 | + | 0.742483i | \(0.266352\pi\) | |||||||
\(234\) | −4.70627 | − | 3.02453i | −0.307658 | − | 0.197720i | ||||
\(235\) | −1.08509 | + | 7.54695i | −0.0707833 | + | 0.492308i | ||||
\(236\) | −10.5450 | + | 6.77688i | −0.686423 | + | 0.441137i | ||||
\(237\) | 2.28519 | + | 5.00387i | 0.148439 | + | 0.325036i | ||||
\(238\) | 5.01922 | + | 5.79249i | 0.325348 | + | 0.375471i | ||||
\(239\) | 1.45467 | + | 10.1174i | 0.0940948 | + | 0.654443i | 0.981217 | + | 0.192908i | \(0.0617920\pi\) |
−0.887122 | + | 0.461535i | \(0.847299\pi\) | |||||||
\(240\) | −0.415415 | + | 0.909632i | −0.0268149 | + | 0.0587165i | ||||
\(241\) | 24.6317 | − | 7.23253i | 1.58667 | − | 0.465888i | 0.634872 | − | 0.772617i | \(-0.281053\pi\) |
0.951797 | + | 0.306729i | \(0.0992346\pi\) | |||||||
\(242\) | 1.77393 | − | 0.520873i | 0.114033 | − | 0.0334830i | ||||
\(243\) | 0.415415 | − | 0.909632i | 0.0266489 | − | 0.0583529i | ||||
\(244\) | 1.92203 | + | 13.3680i | 0.123045 | + | 0.855798i | ||||
\(245\) | 1.27923 | + | 1.47631i | 0.0817267 | + | 0.0943177i | ||||
\(246\) | 1.20958 | + | 2.64861i | 0.0771200 | + | 0.168869i | ||||
\(247\) | −23.5284 | + | 15.1208i | −1.49707 | + | 0.962111i | ||||
\(248\) | 1.04598 | − | 7.27492i | 0.0664195 | − | 0.461958i | ||||
\(249\) | 2.41344 | + | 1.55102i | 0.152945 | + | 0.0982920i | ||||
\(250\) | 0.654861 | − | 0.755750i | 0.0414170 | − | 0.0477978i | ||||
\(251\) | 13.8275 | + | 4.06013i | 0.872786 | + | 0.256273i | 0.687300 | − | 0.726374i | \(-0.258796\pi\) |
0.185486 | + | 0.982647i | \(0.440614\pi\) | |||||||
\(252\) | −2.99223 | −0.188493 | ||||||||
\(253\) | 9.56248 | − | 10.9104i | 0.601188 | − | 0.685929i | ||||
\(254\) | 9.86642 | 0.619074 | ||||||||
\(255\) | 2.45773 | + | 0.721655i | 0.153909 | + | 0.0451918i | ||||
\(256\) | −0.654861 | + | 0.755750i | −0.0409288 | + | 0.0472343i | ||||
\(257\) | −18.1036 | − | 11.6345i | −1.12927 | − | 0.725738i | −0.163863 | − | 0.986483i | \(-0.552395\pi\) |
−0.965408 | + | 0.260745i | \(0.916032\pi\) | |||||||
\(258\) | −1.31689 | + | 9.15916i | −0.0819859 | + | 0.570225i | ||||
\(259\) | 8.92499 | − | 5.73574i | 0.554572 | − | 0.356402i | ||||
\(260\) | 2.32398 | + | 5.08880i | 0.144127 | + | 0.315594i | ||||
\(261\) | 0.448151 | + | 0.517193i | 0.0277398 | + | 0.0320135i | ||||
\(262\) | 0.753727 | + | 5.24229i | 0.0465654 | + | 0.323870i | ||||
\(263\) | −10.3508 | + | 22.6651i | −0.638258 | + | 1.39759i | 0.263207 | + | 0.964739i | \(0.415220\pi\) |
−0.901465 | + | 0.432851i | \(0.857508\pi\) | |||||||
\(264\) | −2.90255 | + | 0.852267i | −0.178640 | + | 0.0524534i | ||||
\(265\) | −5.25556 | + | 1.54317i | −0.322847 | + | 0.0947963i | ||||
\(266\) | −6.21430 | + | 13.6074i | −0.381023 | + | 0.834324i | ||||
\(267\) | 0.418484 | + | 2.91062i | 0.0256108 | + | 0.178127i | ||||
\(268\) | −1.46980 | − | 1.69624i | −0.0897823 | − | 0.103614i | ||||
\(269\) | −4.56203 | − | 9.98946i | −0.278152 | − | 0.609068i | 0.718064 | − | 0.695977i | \(-0.245028\pi\) |
−0.996216 | + | 0.0869087i | \(0.972301\pi\) | |||||||
\(270\) | −0.841254 | + | 0.540641i | −0.0511971 | + | 0.0329024i | ||||
\(271\) | 4.26414 | − | 29.6577i | 0.259028 | − | 1.80158i | −0.280759 | − | 0.959778i | \(-0.590586\pi\) |
0.539787 | − | 0.841802i | \(-0.318505\pi\) | |||||||
\(272\) | 2.15486 | + | 1.38484i | 0.130658 | + | 0.0839686i | ||||
\(273\) | −10.9621 | + | 12.6509i | −0.663456 | + | 0.765669i | ||||
\(274\) | −9.22154 | − | 2.70769i | −0.557094 | − | 0.163577i | ||||
\(275\) | 3.02509 | 0.182420 | ||||||||
\(276\) | 3.16106 | − | 3.60662i | 0.190273 | − | 0.217093i | ||||
\(277\) | 1.58644 | 0.0953200 | 0.0476600 | − | 0.998864i | \(-0.484824\pi\) | ||||
0.0476600 | + | 0.998864i | \(0.484824\pi\) | |||||||
\(278\) | 16.2699 | + | 4.77727i | 0.975803 | + | 0.286522i | ||||
\(279\) | 4.81305 | − | 5.55455i | 0.288150 | − | 0.332542i | ||||
\(280\) | 2.51722 | + | 1.61772i | 0.150433 | + | 0.0966773i | ||||
\(281\) | 1.25589 | − | 8.73492i | 0.0749203 | − | 0.521082i | −0.917456 | − | 0.397837i | \(-0.869761\pi\) |
0.992376 | − | 0.123245i | \(-0.0393300\pi\) | |||||||
\(282\) | −6.41418 | + | 4.12214i | −0.381959 | + | 0.245470i | ||||
\(283\) | −3.40447 | − | 7.45474i | −0.202375 | − | 0.443138i | 0.781047 | − | 0.624472i | \(-0.214686\pi\) |
−0.983422 | + | 0.181334i | \(0.941959\pi\) | |||||||
\(284\) | −4.46575 | − | 5.15375i | −0.264994 | − | 0.305819i | ||||
\(285\) | 0.711485 | + | 4.94848i | 0.0421447 | + | 0.293123i | ||||
\(286\) | −7.03025 | + | 15.3941i | −0.415707 | + | 0.910272i | ||||
\(287\) | 8.35966 | − | 2.45462i | 0.493455 | − | 0.144892i | ||||
\(288\) | −0.959493 | + | 0.281733i | −0.0565387 | + | 0.0166013i | ||||
\(289\) | −4.33643 | + | 9.49545i | −0.255084 | + | 0.558556i | ||||
\(290\) | −0.0973924 | − | 0.677379i | −0.00571908 | − | 0.0397771i | ||||
\(291\) | 4.89223 | + | 5.64593i | 0.286788 | + | 0.330970i | ||||
\(292\) | 1.21359 | + | 2.65739i | 0.0710200 | + | 0.155512i | ||||
\(293\) | −4.20023 | + | 2.69933i | −0.245380 | + | 0.157696i | −0.657550 | − | 0.753411i | \(-0.728407\pi\) |
0.412170 | + | 0.911107i | \(0.364771\pi\) | |||||||
\(294\) | −0.278002 | + | 1.93355i | −0.0162134 | + | 0.112767i | ||||
\(295\) | 10.5450 | + | 6.77688i | 0.613955 | + | 0.394565i | ||||
\(296\) | 2.32186 | − | 2.67956i | 0.134955 | − | 0.155746i | ||||
\(297\) | −2.90255 | − | 0.852267i | −0.168423 | − | 0.0494535i | ||||
\(298\) | −2.08974 | −0.121055 | ||||||||
\(299\) | −3.66795 | − | 26.5777i | −0.212123 | − | 1.53703i | ||||
\(300\) | 1.00000 | 0.0577350 | ||||||||
\(301\) | 26.5666 | + | 7.80065i | 1.53127 | + | 0.449622i | ||||
\(302\) | −12.4385 | + | 14.3547i | −0.715753 | + | 0.826023i | ||||
\(303\) | −5.78836 | − | 3.71995i | −0.332533 | − | 0.213706i | ||||
\(304\) | −0.711485 | + | 4.94848i | −0.0408064 | + | 0.283815i | ||||
\(305\) | 11.3615 | − | 7.30160i | 0.650558 | − | 0.418089i | ||||
\(306\) | 1.06408 | + | 2.33001i | 0.0608294 | + | 0.133198i | ||||
\(307\) | 6.49010 | + | 7.48998i | 0.370410 | + | 0.427476i | 0.910100 | − | 0.414388i | \(-0.136004\pi\) |
−0.539691 | + | 0.841863i | \(0.681459\pi\) | |||||||
\(308\) | 1.28820 | + | 8.95963i | 0.0734020 | + | 0.510522i | ||||
\(309\) | 6.24080 | − | 13.6654i | 0.355027 | − | 0.777400i | ||||
\(310\) | −7.05201 | + | 2.07066i | −0.400527 | + | 0.117605i | ||||
\(311\) | −33.2888 | + | 9.77446i | −1.88763 | + | 0.554259i | −0.893097 | + | 0.449864i | \(0.851472\pi\) |
−0.994536 | + | 0.104395i | \(0.966710\pi\) | |||||||
\(312\) | −2.32398 | + | 5.08880i | −0.131569 | + | 0.288097i | ||||
\(313\) | 0.582230 | + | 4.04950i | 0.0329096 | + | 0.228891i | 0.999638 | − | 0.0269147i | \(-0.00856826\pi\) |
−0.966728 | + | 0.255806i | \(0.917659\pi\) | |||||||
\(314\) | −10.2086 | − | 11.7813i | −0.576104 | − | 0.664859i | ||||
\(315\) | 1.24302 | + | 2.72183i | 0.0700361 | + | 0.153358i | ||||
\(316\) | 4.62772 | − | 2.97405i | 0.260330 | − | 0.167304i | ||||
\(317\) | −4.78735 | + | 33.2968i | −0.268885 | + | 1.87013i | 0.190207 | + | 0.981744i | \(0.439084\pi\) |
−0.459091 | + | 0.888389i | \(0.651825\pi\) | |||||||
\(318\) | −4.60791 | − | 2.96133i | −0.258399 | − | 0.166063i | ||||
\(319\) | 1.35570 | − | 1.56456i | 0.0759044 | − | 0.0875984i | ||||
\(320\) | 0.959493 | + | 0.281733i | 0.0536373 | + | 0.0157493i | ||||
\(321\) | 9.41558 | 0.525527 | ||||||||
\(322\) | −9.33589 | − | 10.8982i | −0.520269 | − | 0.607331i | ||||
\(323\) | 12.8058 | 0.712535 | ||||||||
\(324\) | −0.959493 | − | 0.281733i | −0.0533052 | − | 0.0156518i | ||||
\(325\) | 3.66352 | − | 4.22793i | 0.203216 | − | 0.234523i | ||||
\(326\) | −17.5014 | − | 11.2474i | −0.969311 | − | 0.622939i | ||||
\(327\) | 1.58398 | − | 11.0168i | 0.0875943 | − | 0.609232i | ||||
\(328\) | 2.44951 | − | 1.57420i | 0.135252 | − | 0.0869209i | ||||
\(329\) | 9.47745 | + | 20.7527i | 0.522508 | + | 1.14413i | ||||
\(330\) | 1.98101 | + | 2.28621i | 0.109051 | + | 0.125852i | ||||
\(331\) | 3.97455 | + | 27.6436i | 0.218461 | + | 1.51943i | 0.743723 | + | 0.668488i | \(0.233058\pi\) |
−0.525262 | + | 0.850941i | \(0.676033\pi\) | |||||||
\(332\) | 1.19177 | − | 2.60960i | 0.0654067 | − | 0.143221i | ||||
\(333\) | 3.40195 | − | 0.998903i | 0.186426 | − | 0.0547395i | ||||
\(334\) | 1.19806 | − | 0.351781i | 0.0655547 | − | 0.0192486i | ||||
\(335\) | −0.932376 | + | 2.04162i | −0.0509412 | + | 0.111546i | ||||
\(336\) | 0.425839 | + | 2.96177i | 0.0232314 | + | 0.161578i | ||||
\(337\) | −2.30353 | − | 2.65841i | −0.125481 | − | 0.144813i | 0.689533 | − | 0.724255i | \(-0.257816\pi\) |
−0.815014 | + | 0.579442i | \(0.803271\pi\) | |||||||
\(338\) | 7.60075 | + | 16.6433i | 0.413426 | + | 0.905277i | ||||
\(339\) | −9.07856 | + | 5.83444i | −0.493080 | + | 0.316883i | ||||
\(340\) | 0.364538 | − | 2.53542i | 0.0197698 | − | 0.137502i | ||||
\(341\) | −18.7041 | − | 12.0204i | −1.01288 | − | 0.650941i | ||||
\(342\) | −3.27389 | + | 3.77827i | −0.177032 | + | 0.204306i | ||||
\(343\) | −14.4888 | − | 4.25430i | −0.782322 | − | 0.229711i | ||||
\(344\) | 9.25335 | 0.498907 | ||||||||
\(345\) | −4.59385 | − | 1.37715i | −0.247325 | − | 0.0741434i | ||||
\(346\) | −5.80232 | −0.311935 | ||||||||
\(347\) | 29.5920 | + | 8.68900i | 1.58858 | + | 0.466450i | 0.952340 | − | 0.305039i | \(-0.0986694\pi\) |
0.636243 | + | 0.771489i | \(0.280488\pi\) | |||||||
\(348\) | 0.448151 | − | 0.517193i | 0.0240234 | − | 0.0277245i | ||||
\(349\) | −17.3378 | − | 11.1423i | −0.928071 | − | 0.596435i | −0.0130820 | − | 0.999914i | \(-0.504164\pi\) |
−0.914989 | + | 0.403480i | \(0.867801\pi\) | |||||||
\(350\) | 0.425839 | − | 2.96177i | 0.0227620 | − | 0.158313i | ||||
\(351\) | −4.70627 | + | 3.02453i | −0.251202 | + | 0.161438i | ||||
\(352\) | 1.25667 | + | 2.75172i | 0.0669807 | + | 0.146667i | ||||
\(353\) | 9.73896 | + | 11.2394i | 0.518352 | + | 0.598210i | 0.953218 | − | 0.302285i | \(-0.0977495\pi\) |
−0.434865 | + | 0.900496i | \(0.643204\pi\) | |||||||
\(354\) | 1.78390 | + | 12.4073i | 0.0948134 | + | 0.659441i | ||||
\(355\) | −2.83288 | + | 6.20314i | −0.150354 | + | 0.329228i | ||||
\(356\) | 2.82144 | − | 0.828449i | 0.149536 | − | 0.0439077i | ||||
\(357\) | 7.35409 | − | 2.15936i | 0.389220 | − | 0.114285i | ||||
\(358\) | −9.57879 | + | 20.9746i | −0.506255 | + | 1.10854i | ||||
\(359\) | 3.58406 | + | 24.9277i | 0.189160 | + | 1.31563i | 0.834190 | + | 0.551477i | \(0.185936\pi\) |
−0.645031 | + | 0.764157i | \(0.723155\pi\) | |||||||
\(360\) | 0.654861 | + | 0.755750i | 0.0345142 | + | 0.0398315i | ||||
\(361\) | 2.48987 | + | 5.45207i | 0.131046 | + | 0.286951i | ||||
\(362\) | −5.51747 | + | 3.54586i | −0.289992 | + | 0.186366i | ||||
\(363\) | 0.263114 | − | 1.83000i | 0.0138099 | − | 0.0960502i | ||||
\(364\) | 14.0822 | + | 9.05010i | 0.738109 | + | 0.474354i | ||||
\(365\) | 1.91311 | − | 2.20784i | 0.100137 | − | 0.115564i | ||||
\(366\) | 12.9584 | + | 3.80493i | 0.677346 | + | 0.198887i | ||||
\(367\) | −0.444300 | −0.0231922 | −0.0115961 | − | 0.999933i | \(-0.503691\pi\) | ||||
−0.0115961 | + | 0.999933i | \(0.503691\pi\) | |||||||
\(368\) | −4.01978 | − | 2.61561i | −0.209545 | − | 0.136348i | ||||
\(369\) | 2.91174 | 0.151579 | ||||||||
\(370\) | −3.40195 | − | 0.998903i | −0.176859 | − | 0.0519305i | ||||
\(371\) | −10.7330 | + | 12.3865i | −0.557230 | + | 0.643077i | ||||
\(372\) | −6.18298 | − | 3.97356i | −0.320573 | − | 0.206020i | ||||
\(373\) | 1.84551 | − | 12.8358i | 0.0955569 | − | 0.664613i | −0.884594 | − | 0.466361i | \(-0.845565\pi\) |
0.980151 | − | 0.198252i | \(-0.0635263\pi\) | |||||||
\(374\) | 6.51865 | − | 4.18928i | 0.337071 | − | 0.216623i | ||||
\(375\) | −0.415415 | − | 0.909632i | −0.0214519 | − | 0.0469732i | ||||
\(376\) | 4.99302 | + | 5.76225i | 0.257495 | + | 0.297165i | ||||
\(377\) | −0.544847 | − | 3.78950i | −0.0280611 | − | 0.195169i | ||||
\(378\) | −1.24302 | + | 2.72183i | −0.0639339 | + | 0.139996i | ||||
\(379\) | −26.7936 | + | 7.86731i | −1.37630 | + | 0.404117i | −0.884478 | − | 0.466582i | \(-0.845485\pi\) |
−0.491817 | + | 0.870698i | \(0.663667\pi\) | |||||||
\(380\) | 4.79686 | − | 1.40849i | 0.246074 | − | 0.0722538i | ||||
\(381\) | 4.09866 | − | 8.97481i | 0.209981 | − | 0.459794i | ||||
\(382\) | −3.25464 | − | 22.6366i | −0.166522 | − | 1.15819i | ||||
\(383\) | 6.75360 | + | 7.79406i | 0.345093 | + | 0.398258i | 0.901590 | − | 0.432591i | \(-0.142401\pi\) |
−0.556498 | + | 0.830849i | \(0.687855\pi\) | |||||||
\(384\) | 0.415415 | + | 0.909632i | 0.0211991 | + | 0.0464195i | ||||
\(385\) | 7.61483 | − | 4.89375i | 0.388088 | − | 0.249409i | ||||
\(386\) | −3.08416 | + | 21.4508i | −0.156980 | + | 1.09182i | ||||
\(387\) | 7.78441 | + | 5.00274i | 0.395704 | + | 0.254303i | ||||
\(388\) | 4.89223 | − | 5.64593i | 0.248365 | − | 0.286629i | ||||
\(389\) | 6.02499 | + | 1.76910i | 0.305479 | + | 0.0896968i | 0.430880 | − | 0.902409i | \(-0.358203\pi\) |
−0.125400 | + | 0.992106i | \(0.540022\pi\) | |||||||
\(390\) | 5.59435 | 0.283281 | ||||||||
\(391\) | −5.16629 | + | 11.1453i | −0.261270 | + | 0.563642i | ||||
\(392\) | 1.95343 | 0.0986632 | ||||||||
\(393\) | 5.08166 | + | 1.49211i | 0.256336 | + | 0.0752670i | ||||
\(394\) | 12.8744 | − | 14.8579i | 0.648604 | − | 0.748528i | ||||
\(395\) | −4.62772 | − | 2.97405i | −0.232846 | − | 0.149641i | ||||
\(396\) | −0.430515 | + | 2.99430i | −0.0216342 | + | 0.150469i | ||||
\(397\) | −5.77910 | + | 3.71400i | −0.290045 | + | 0.186400i | −0.677569 | − | 0.735459i | \(-0.736967\pi\) |
0.387525 | + | 0.921859i | \(0.373330\pi\) | |||||||
\(398\) | 2.98357 | + | 6.53310i | 0.149553 | + | 0.327475i | ||||
\(399\) | 9.79623 | + | 11.3055i | 0.490425 | + | 0.565981i | ||||
\(400\) | −0.142315 | − | 0.989821i | −0.00711574 | − | 0.0494911i | ||||
\(401\) | 1.50679 | − | 3.29940i | 0.0752453 | − | 0.164764i | −0.868271 | − | 0.496090i | \(-0.834769\pi\) |
0.943516 | + | 0.331326i | \(0.107496\pi\) | |||||||
\(402\) | −2.15353 | + | 0.632333i | −0.107408 | + | 0.0315379i | ||||
\(403\) | −39.4514 | + | 11.5840i | −1.96522 | + | 0.577039i | ||||
\(404\) | −2.85832 | + | 6.25885i | −0.142207 | + | 0.311389i | ||||
\(405\) | 0.142315 | + | 0.989821i | 0.00707168 | + | 0.0491846i | ||||
\(406\) | −1.34097 | − | 1.54756i | −0.0665512 | − | 0.0768041i | ||||
\(407\) | −4.45561 | − | 9.75642i | −0.220856 | − | 0.483608i | ||||
\(408\) | 2.15486 | − | 1.38484i | 0.106682 | − | 0.0685600i | ||||
\(409\) | −2.10761 | + | 14.6587i | −0.104215 | + | 0.724828i | 0.868980 | + | 0.494846i | \(0.164776\pi\) |
−0.973195 | + | 0.229982i | \(0.926133\pi\) | |||||||
\(410\) | −2.44951 | − | 1.57420i | −0.120973 | − | 0.0777444i | ||||
\(411\) | −6.29377 | + | 7.26339i | −0.310449 | + | 0.358277i | ||||
\(412\) | −14.4145 | − | 4.23248i | −0.710152 | − | 0.208519i | ||||
\(413\) | 37.5073 | 1.84561 | ||||||||
\(414\) | −1.96755 | − | 4.37364i | −0.0966998 | − | 0.214953i | ||||
\(415\) | −2.86886 | −0.140827 | ||||||||
\(416\) | 5.36774 | + | 1.57611i | 0.263175 | + | 0.0772752i | ||||
\(417\) | 11.1043 | − | 12.8151i | 0.543781 | − | 0.627556i | ||||
\(418\) | 12.7227 | + | 8.17641i | 0.622290 | + | 0.399921i | ||||
\(419\) | 3.36041 | − | 23.3722i | 0.164167 | − | 1.14181i | −0.726505 | − | 0.687161i | \(-0.758857\pi\) |
0.890672 | − | 0.454646i | \(-0.150234\pi\) | |||||||
\(420\) | 2.51722 | − | 1.61772i | 0.122828 | − | 0.0789367i | ||||
\(421\) | −14.8684 | − | 32.5572i | −0.724641 | − | 1.58674i | −0.807284 | − | 0.590163i | \(-0.799063\pi\) |
0.0826429 | − | 0.996579i | \(-0.473664\pi\) | |||||||
\(422\) | 12.3103 | + | 14.2069i | 0.599258 | + | 0.691580i | ||||
\(423\) | 1.08509 | + | 7.54695i | 0.0527587 | + | 0.366945i | ||||
\(424\) | −2.27541 | + | 4.98245i | −0.110504 | + | 0.241969i | ||||
\(425\) | −2.45773 | + | 0.721655i | −0.119217 | + | 0.0350054i | ||||
\(426\) | −6.54316 | + | 1.92124i | −0.317017 | + | 0.0930846i | ||||
\(427\) | 16.7875 | − | 36.7595i | 0.812405 | − | 1.77892i | ||||
\(428\) | −1.33998 | − | 9.31974i | −0.0647702 | − | 0.450487i | ||||
\(429\) | 11.0825 | + | 12.7899i | 0.535068 | + | 0.617501i | ||||
\(430\) | −3.84398 | − | 8.41714i | −0.185373 | − | 0.405911i | ||||
\(431\) | −28.1022 | + | 18.0602i | −1.35364 | + | 0.869928i | −0.997907 | − | 0.0646612i | \(-0.979403\pi\) |
−0.355728 | + | 0.934590i | \(0.615767\pi\) | |||||||
\(432\) | −0.142315 | + | 0.989821i | −0.00684713 | + | 0.0476228i | ||||
\(433\) | −23.8520 | − | 15.3287i | −1.14625 | − | 0.736652i | −0.177363 | − | 0.984146i | \(-0.556757\pi\) |
−0.968889 | + | 0.247494i | \(0.920393\pi\) | |||||||
\(434\) | −14.4017 | + | 16.6205i | −0.691306 | + | 0.797809i | ||||
\(435\) | −0.656624 | − | 0.192802i | −0.0314827 | − | 0.00924416i | ||||
\(436\) | −11.1301 | −0.533036 | ||||||||
\(437\) | −23.9758 | − | 0.135639i | −1.14692 | − | 0.00648851i | ||||
\(438\) | 2.92139 | 0.139590 | ||||||||
\(439\) | −6.94871 | − | 2.04032i | −0.331644 | − | 0.0973794i | 0.111671 | − | 0.993745i | \(-0.464380\pi\) |
−0.443315 | + | 0.896366i | \(0.646198\pi\) | |||||||
\(440\) | 1.98101 | − | 2.28621i | 0.0944411 | − | 0.108991i | ||||
\(441\) | 1.64333 | + | 1.05610i | 0.0782539 | + | 0.0502907i | ||||
\(442\) | 2.03935 | − | 14.1840i | 0.0970021 | − | 0.674664i | ||||
\(443\) | 27.5606 | − | 17.7121i | 1.30944 | − | 0.841529i | 0.315237 | − | 0.949013i | \(-0.397916\pi\) |
0.994207 | + | 0.107484i | \(0.0342795\pi\) | |||||||
\(444\) | −1.47288 | − | 3.22516i | −0.0698999 | − | 0.153060i | ||||
\(445\) | −1.92565 | − | 2.22232i | −0.0912846 | − | 0.105348i | ||||
\(446\) | −2.31114 | − | 16.0744i | −0.109436 | − | 0.761143i | ||||
\(447\) | −0.868109 | + | 1.90089i | −0.0410601 | + | 0.0899091i | ||||
\(448\) | 2.87102 | − | 0.843008i | 0.135643 | − | 0.0398284i | ||||
\(449\) | 13.0897 | − | 3.84347i | 0.617740 | − | 0.181385i | 0.0421339 | − | 0.999112i | \(-0.486584\pi\) |
0.575606 | + | 0.817727i | \(0.304766\pi\) | |||||||
\(450\) | 0.415415 | − | 0.909632i | 0.0195829 | − | 0.0428805i | ||||
\(451\) | −1.25355 | − | 8.71862i | −0.0590273 | − | 0.410544i | ||||
\(452\) | 7.06706 | + | 8.15583i | 0.332407 | + | 0.383618i | ||||
\(453\) | 7.89041 | + | 17.2776i | 0.370724 | + | 0.811772i | ||||
\(454\) | −5.01967 | + | 3.22594i | −0.235585 | + | 0.151401i | ||||
\(455\) | 2.38229 | − | 16.5692i | 0.111683 | − | 0.776776i | ||||
\(456\) | 4.20574 | + | 2.70286i | 0.196952 | + | 0.126573i | ||||
\(457\) | −24.0212 | + | 27.7219i | −1.12366 | + | 1.29678i | −0.173567 | + | 0.984822i | \(0.555529\pi\) |
−0.950097 | + | 0.311955i | \(0.899016\pi\) | |||||||
\(458\) | −1.03921 | − | 0.305141i | −0.0485593 | − | 0.0142583i | ||||
\(459\) | 2.56149 | 0.119560 | ||||||||
\(460\) | −0.709362 | + | 4.74308i | −0.0330742 | + | 0.221147i | ||||
\(461\) | −41.5325 | −1.93436 | −0.967181 | − | 0.254087i | \(-0.918225\pi\) | ||||
−0.967181 | + | 0.254087i | \(0.918225\pi\) | |||||||
\(462\) | 8.68511 | + | 2.55018i | 0.404068 | + | 0.118645i | ||||
\(463\) | −1.75165 | + | 2.02151i | −0.0814059 | + | 0.0939475i | −0.794991 | − | 0.606621i | \(-0.792525\pi\) |
0.713585 | + | 0.700568i | \(0.247070\pi\) | |||||||
\(464\) | −0.575708 | − | 0.369985i | −0.0267266 | − | 0.0171761i | ||||
\(465\) | −1.04598 | + | 7.27492i | −0.0485059 | + | 0.337366i | ||||
\(466\) | 3.14514 | − | 2.02126i | 0.145696 | − | 0.0936330i | ||||
\(467\) | 7.26675 | + | 15.9120i | 0.336265 | + | 0.736318i | 0.999931 | − | 0.0117108i | \(-0.00372776\pi\) |
−0.663666 | + | 0.748029i | \(0.731000\pi\) | |||||||
\(468\) | 3.66352 | + | 4.22793i | 0.169346 | + | 0.195436i | ||||
\(469\) | 0.955771 | + | 6.64754i | 0.0441334 | + | 0.306955i | ||||
\(470\) | 3.16735 | − | 6.93554i | 0.146099 | − | 0.319912i | ||||
\(471\) | −14.9575 | + | 4.39191i | −0.689204 | + | 0.202369i | ||||
\(472\) | 12.0272 | − | 3.53149i | 0.553594 | − | 0.162550i | ||||
\(473\) | 11.6284 | − | 25.4626i | 0.534674 | − | 1.17077i | ||||
\(474\) | −0.782871 | − | 5.44499i | −0.0359585 | − | 0.250097i | ||||
\(475\) | −3.27389 | − | 3.77827i | −0.150216 | − | 0.173359i | ||||
\(476\) | −3.18397 | − | 6.97193i | −0.145937 | − | 0.319558i | ||||
\(477\) | −4.60791 | + | 2.96133i | −0.210982 | + | 0.135590i | ||||
\(478\) | 1.45467 | − | 10.1174i | 0.0665350 | − | 0.462761i | ||||
\(479\) | 5.69958 | + | 3.66290i | 0.260420 | + | 0.167362i | 0.664336 | − | 0.747434i | \(-0.268715\pi\) |
−0.403915 | + | 0.914796i | \(0.632351\pi\) | |||||||
\(480\) | 0.654861 | − | 0.755750i | 0.0298902 | − | 0.0344951i | ||||
\(481\) | −19.0317 | − | 5.58821i | −0.867771 | − | 0.254801i | ||||
\(482\) | −25.6716 | −1.16931 | ||||||||
\(483\) | −13.7916 | + | 3.96497i | −0.627539 | + | 0.180412i | ||||
\(484\) | −1.84882 | −0.0840373 | ||||||||
\(485\) | −7.16803 | − | 2.10472i | −0.325483 | − | 0.0955705i | ||||
\(486\) | −0.654861 | + | 0.755750i | −0.0297051 | + | 0.0342815i | ||||
\(487\) | 7.19378 | + | 4.62316i | 0.325981 | + | 0.209496i | 0.693387 | − | 0.720565i | \(-0.256118\pi\) |
−0.367406 | + | 0.930061i | \(0.619754\pi\) | |||||||
\(488\) | 1.92203 | − | 13.3680i | 0.0870061 | − | 0.605141i | ||||
\(489\) | −17.5014 | + | 11.2474i | −0.791439 | + | 0.508627i | ||||
\(490\) | −0.811485 | − | 1.77690i | −0.0366591 | − | 0.0802723i | ||||
\(491\) | −16.0551 | − | 18.5286i | −0.724556 | − | 0.836182i | 0.267291 | − | 0.963616i | \(-0.413871\pi\) |
−0.991847 | + | 0.127434i | \(0.959326\pi\) | |||||||
\(492\) | −0.414383 | − | 2.88210i | −0.0186818 | − | 0.129935i | ||||
\(493\) | −0.728198 | + | 1.59453i | −0.0327964 | + | 0.0718141i | ||||
\(494\) | 26.8353 | − | 7.87956i | 1.20738 | − | 0.354518i | ||||
\(495\) | 2.90255 | − | 0.852267i | 0.130460 | − | 0.0383065i | ||||
\(496\) | −3.05319 | + | 6.68555i | −0.137092 | + | 0.300190i | ||||
\(497\) | 2.90396 | + | 20.1975i | 0.130260 | + | 0.905981i | ||||
\(498\) | −1.87870 | − | 2.16814i | −0.0841867 | − | 0.0971566i | ||||
\(499\) | 10.8583 | + | 23.7764i | 0.486086 | + | 1.06438i | 0.980745 | + | 0.195292i | \(0.0625656\pi\) |
−0.494659 | + | 0.869087i | \(0.664707\pi\) | |||||||
\(500\) | −0.841254 | + | 0.540641i | −0.0376220 | + | 0.0241782i | ||||
\(501\) | 0.177699 | − | 1.23593i | 0.00793902 | − | 0.0552171i | ||||
\(502\) | −12.1236 | − | 7.79133i | −0.541101 | − | 0.347744i | ||||
\(503\) | 14.9392 | − | 17.2408i | 0.666108 | − | 0.768729i | −0.317655 | − | 0.948207i | \(-0.602895\pi\) |
0.983762 | + | 0.179477i | \(0.0574407\pi\) | |||||||
\(504\) | 2.87102 | + | 0.843008i | 0.127885 | + | 0.0375506i | ||||
\(505\) | 6.88064 | 0.306184 | ||||||||
\(506\) | −12.2489 | + | 7.77435i | −0.544532 | + | 0.345612i | ||||
\(507\) | 18.2968 | 0.812588 | ||||||||
\(508\) | −9.46676 | − | 2.77969i | −0.420020 | − | 0.123329i | ||||
\(509\) | 5.32536 | − | 6.14579i | 0.236042 | − | 0.272407i | −0.625354 | − | 0.780342i | \(-0.715045\pi\) |
0.861396 | + | 0.507934i | \(0.169591\pi\) | |||||||
\(510\) | −2.15486 | − | 1.38484i | −0.0954188 | − | 0.0613220i | ||||
\(511\) | 1.24404 | − | 8.65250i | 0.0550332 | − | 0.382764i | ||||
\(512\) | 0.841254 | − | 0.540641i | 0.0371785 | − | 0.0238932i | ||||
\(513\) | 2.07681 | + | 4.54759i | 0.0916936 | + | 0.200781i | ||||
\(514\) | 14.0925 | + | 16.2636i | 0.621592 | + | 0.717355i | ||||
\(515\) | 2.13800 | + | 14.8701i | 0.0942116 | + | 0.655256i | ||||
\(516\) | 3.84398 | − | 8.41714i | 0.169222 | − | 0.370544i | ||||
\(517\) | 22.1307 | − | 6.49815i | 0.973306 | − | 0.285788i | ||||
\(518\) | −10.1794 | + | 2.98895i | −0.447258 | + | 0.131327i | ||||
\(519\) | −2.41037 | + | 5.27797i | −0.105804 | + | 0.231677i | ||||
\(520\) | −0.796159 | − | 5.53741i | −0.0349139 | − | 0.242831i | ||||
\(521\) | 0.865679 | + | 0.999047i | 0.0379261 | + | 0.0437690i | 0.774396 | − | 0.632702i | \(-0.218054\pi\) |
−0.736470 | + | 0.676471i | \(0.763509\pi\) | |||||||
\(522\) | −0.284287 | − | 0.622502i | −0.0124429 | − | 0.0272462i | ||||
\(523\) | 19.4393 | − | 12.4929i | 0.850021 | − | 0.546275i | −0.0415602 | − | 0.999136i | \(-0.513233\pi\) |
0.891581 | + | 0.452861i | \(0.149596\pi\) | |||||||
\(524\) | 0.753727 | − | 5.24229i | 0.0329267 | − | 0.229010i | ||||
\(525\) | −2.51722 | − | 1.61772i | −0.109861 | − | 0.0706031i | ||||
\(526\) | 16.3170 | − | 18.8309i | 0.711456 | − | 0.821064i | ||||
\(527\) | 18.0636 | + | 5.30396i | 0.786865 | + | 0.231044i | ||||
\(528\) | 3.02509 | 0.131650 | ||||||||
\(529\) | 9.79065 | − | 20.8121i | 0.425680 | − | 0.904874i | ||||
\(530\) | 5.47744 | 0.237925 | ||||||||
\(531\) | 12.0272 | + | 3.53149i | 0.521934 | + | 0.153254i | ||||
\(532\) | 9.79623 | − | 11.3055i | 0.424720 | − | 0.490154i | ||||
\(533\) | −13.7034 | − | 8.80665i | −0.593561 | − | 0.381458i | ||||
\(534\) | 0.418484 | − | 2.91062i | 0.0181096 | − | 0.125955i | ||||
\(535\) | −7.92089 | + | 5.09045i | −0.342450 | + | 0.220079i | ||||
\(536\) | 0.932376 | + | 2.04162i | 0.0402725 | + | 0.0881845i | ||||
\(537\) | 15.1000 | + | 17.4264i | 0.651614 | + | 0.752003i | ||||
\(538\) | 1.56288 | + | 10.8701i | 0.0673807 | + | 0.468643i | ||||
\(539\) | 2.45482 | − | 5.37530i | 0.105736 | − | 0.231530i | ||||
\(540\) | 0.959493 | − | 0.281733i | 0.0412900 | − | 0.0121238i | ||||
\(541\) | 4.90140 | − | 1.43918i | 0.210728 | − | 0.0618753i | −0.174665 | − | 0.984628i | \(-0.555884\pi\) |
0.385393 | + | 0.922753i | \(0.374066\pi\) | |||||||
\(542\) | −12.4470 | + | 27.2551i | −0.534643 | + | 1.17070i | ||||
\(543\) | 0.933390 | + | 6.49187i | 0.0400556 | + | 0.278593i | ||||
\(544\) | −1.67742 | − | 1.93584i | −0.0719187 | − | 0.0829986i | ||||
\(545\) | 4.62362 | + | 10.1243i | 0.198054 | + | 0.433678i | ||||
\(546\) | 14.0822 | − | 9.05010i | 0.602664 | − | 0.387308i | ||||
\(547\) | 1.20240 | − | 8.36291i | 0.0514111 | − | 0.357572i | −0.947835 | − | 0.318760i | \(-0.896734\pi\) |
0.999247 | − | 0.0388120i | \(-0.0123574\pi\) | |||||||
\(548\) | 8.08516 | + | 5.19602i | 0.345381 | + | 0.221963i | ||||
\(549\) | 8.84419 | − | 10.2067i | 0.377461 | − | 0.435613i | ||||
\(550\) | −2.90255 | − | 0.852267i | −0.123765 | − | 0.0363408i | ||||
\(551\) | −3.42129 | −0.145752 | ||||||||
\(552\) | −4.04911 | + | 2.56996i | −0.172342 | + | 0.109385i | ||||
\(553\) | −16.4602 | −0.699958 | ||||||||
\(554\) | −1.52218 | − | 0.446952i | −0.0646712 | − | 0.0189892i | ||||
\(555\) | −2.32186 | + | 2.67956i | −0.0985573 | + | 0.113741i | ||||
\(556\) | −14.2649 | − | 9.16752i | −0.604968 | − | 0.388789i | ||||
\(557\) | 2.26367 | − | 15.7442i | 0.0959147 | − | 0.667101i | −0.883971 | − | 0.467542i | \(-0.845140\pi\) |
0.979886 | − | 0.199560i | \(-0.0639512\pi\) | |||||||
\(558\) | −6.18298 | + | 3.97356i | −0.261747 | + | 0.168214i | ||||
\(559\) | −21.5046 | − | 47.0884i | −0.909547 | − | 1.99163i | ||||
\(560\) | −1.95949 | − | 2.26138i | −0.0828037 | − | 0.0955606i | ||||
\(561\) | −1.10276 | − | 7.66987i | −0.0465586 | − | 0.323822i | ||||
\(562\) | −3.66593 | + | 8.02727i | −0.154638 | + | 0.338610i | ||||
\(563\) | 16.2823 | − | 4.78090i | 0.686216 | − | 0.201491i | 0.0800041 | − | 0.996795i | \(-0.474507\pi\) |
0.606212 | + | 0.795303i | \(0.292688\pi\) | |||||||
\(564\) | 7.31570 | − | 2.14808i | 0.308047 | − | 0.0904507i | ||||
\(565\) | 4.48304 | − | 9.81648i | 0.188603 | − | 0.412982i | ||||
\(566\) | 1.16632 | + | 8.11192i | 0.0490240 | + | 0.340969i | ||||
\(567\) | 1.95949 | + | 2.26138i | 0.0822910 | + | 0.0949688i | ||||
\(568\) | 2.83288 | + | 6.20314i | 0.118865 | + | 0.260278i | ||||
\(569\) | −37.1530 | + | 23.8768i | −1.55753 | + | 1.00097i | −0.574293 | + | 0.818650i | \(0.694723\pi\) |
−0.983240 | + | 0.182316i | \(0.941641\pi\) | |||||||
\(570\) | 0.711485 | − | 4.94848i | 0.0298008 | − | 0.207269i | ||||
\(571\) | −20.4932 | − | 13.1702i | −0.857612 | − | 0.551154i | 0.0363280 | − | 0.999340i | \(-0.488434\pi\) |
−0.893940 | + | 0.448186i | \(0.852070\pi\) | |||||||
\(572\) | 11.0825 | − | 12.7899i | 0.463382 | − | 0.534771i | ||||
\(573\) | −21.9430 | − | 6.44303i | −0.916680 | − | 0.269162i | ||||
\(574\) | −8.71258 | −0.363656 | ||||||||
\(575\) | 4.60914 | − | 1.32509i | 0.192214 | − | 0.0552600i | ||||
\(576\) | 1.00000 | 0.0416667 | ||||||||
\(577\) | 17.0571 | + | 5.00841i | 0.710096 | + | 0.208503i | 0.616782 | − | 0.787134i | \(-0.288436\pi\) |
0.0933135 | + | 0.995637i | \(0.470254\pi\) | |||||||
\(578\) | 6.83595 | − | 7.88910i | 0.284338 | − | 0.328143i | ||||
\(579\) | 18.2312 | + | 11.7165i | 0.757661 | + | 0.486919i | ||||
\(580\) | −0.0973924 | + | 0.677379i | −0.00404400 | + | 0.0281266i | ||||
\(581\) | −7.22155 | + | 4.64101i | −0.299601 | + | 0.192542i | ||||
\(582\) | −3.10342 | − | 6.79553i | −0.128641 | − | 0.281684i | ||||
\(583\) | 10.8509 | + | 12.5226i | 0.449397 | + | 0.518632i | ||||
\(584\) | −0.415758 | − | 2.89166i | −0.0172042 | − | 0.119658i | ||||
\(585\) | 2.32398 | − | 5.08880i | 0.0960846 | − | 0.210396i | ||||
\(586\) | 4.79058 | − | 1.40664i | 0.197897 | − | 0.0581078i | ||||
\(587\) | −45.5421 | + | 13.3724i | −1.87972 | + | 0.551937i | −0.883164 | + | 0.469064i | \(0.844591\pi\) |
−0.996560 | + | 0.0828729i | \(0.973590\pi\) | |||||||
\(588\) | 0.811485 | − | 1.77690i | 0.0334651 | − | 0.0732783i | ||||
\(589\) | 5.22922 | + | 36.3700i | 0.215466 | + | 1.49860i | ||||
\(590\) | −8.20862 | − | 9.47325i | −0.337943 | − | 0.390007i | ||||
\(591\) | −8.16696 | − | 17.8832i | −0.335944 | − | 0.735615i | ||||
\(592\) | −2.98272 | + | 1.91688i | −0.122589 | + | 0.0787833i | ||||
\(593\) | −0.692955 | + | 4.81961i | −0.0284563 | + | 0.197918i | −0.999090 | − | 0.0426430i | \(-0.986422\pi\) |
0.970634 | + | 0.240561i | \(0.0773313\pi\) | |||||||
\(594\) | 2.54487 | + | 1.63549i | 0.104417 | + | 0.0671049i | ||||
\(595\) | −5.01922 | + | 5.79249i | −0.205768 | + | 0.237469i | ||||
\(596\) | 2.00509 | + | 0.588747i | 0.0821317 | + | 0.0241160i | ||||
\(597\) | 7.18214 | 0.293945 | ||||||||
\(598\) | −3.96842 | + | 26.5345i | −0.162281 | + | 1.08507i | ||||
\(599\) | 7.70280 | 0.314728 | 0.157364 | − | 0.987541i | \(-0.449700\pi\) | ||||
0.157364 | + | 0.987541i | \(0.449700\pi\) | |||||||
\(600\) | −0.959493 | − | 0.281733i | −0.0391711 | − | 0.0115017i | ||||
\(601\) | 9.14193 | − | 10.5504i | 0.372907 | − | 0.430358i | −0.538015 | − | 0.842935i | \(-0.680826\pi\) |
0.910923 | + | 0.412577i | \(0.135371\pi\) | |||||||
\(602\) | −23.2927 | − | 14.9693i | −0.949341 | − | 0.610105i | ||||
\(603\) | −0.319418 | + | 2.22160i | −0.0130077 | + | 0.0904706i | ||||
\(604\) | 15.9788 | − | 10.2690i | 0.650168 | − | 0.417838i | ||||
\(605\) | 0.768027 | + | 1.68175i | 0.0312248 | + | 0.0683727i | ||||
\(606\) | 4.50586 | + | 5.20004i | 0.183038 | + | 0.211237i | ||||
\(607\) | 0.414509 | + | 2.88297i | 0.0168244 | + | 0.117016i | 0.996503 | − | 0.0835578i | \(-0.0266283\pi\) |
−0.979679 | + | 0.200574i | \(0.935719\pi\) | |||||||
\(608\) | 2.07681 | − | 4.54759i | 0.0842259 | − | 0.184429i | ||||
\(609\) | −1.96477 | + | 0.576908i | −0.0796165 | + | 0.0233775i | ||||
\(610\) | −12.9584 | + | 3.80493i | −0.524670 | + | 0.154057i | ||||
\(611\) | 17.7193 | − | 38.7998i | 0.716846 | − | 1.56967i | ||||
\(612\) | −0.364538 | − | 2.53542i | −0.0147356 | − | 0.102488i | ||||
\(613\) | −20.2488 | − | 23.3684i | −0.817843 | − | 0.943841i | 0.181374 | − | 0.983414i | \(-0.441946\pi\) |
−0.999217 | + | 0.0395736i | \(0.987400\pi\) | |||||||
\(614\) | −4.11704 | − | 9.01505i | −0.166150 | − | 0.363818i | ||||
\(615\) | −2.44951 | + | 1.57420i | −0.0987738 | + | 0.0634780i | ||||
\(616\) | 1.28820 | − | 8.95963i | 0.0519031 | − | 0.360994i | ||||
\(617\) | 15.2795 | + | 9.81957i | 0.615131 | + | 0.395321i | 0.810778 | − | 0.585354i | \(-0.199044\pi\) |
−0.195647 | + | 0.980674i | \(0.562681\pi\) | |||||||
\(618\) | −9.83800 | + | 11.3537i | −0.395742 | + | 0.456711i | ||||
\(619\) | 15.5697 | + | 4.57167i | 0.625799 | + | 0.183751i | 0.579230 | − | 0.815164i | \(-0.303353\pi\) |
0.0465684 | + | 0.998915i | \(0.485171\pi\) | |||||||
\(620\) | 7.34973 | 0.295172 | ||||||||
\(621\) | −4.79575 | − | 0.0271313i | −0.192447 | − | 0.00108874i | ||||
\(622\) | 34.6941 | 1.39111 | ||||||||
\(623\) | −8.44239 | − | 2.47891i | −0.338237 | − | 0.0993154i | ||||
\(624\) | 3.66352 | − | 4.22793i | 0.146658 | − | 0.169253i | ||||
\(625\) | 0.841254 | + | 0.540641i | 0.0336501 | + | 0.0216256i | ||||
\(626\) | 0.582230 | − | 4.04950i | 0.0232706 | − | 0.161851i | ||||
\(627\) | 12.7227 | − | 8.17641i | 0.508097 | − | 0.326534i | ||||
\(628\) | 6.47588 | + | 14.1802i | 0.258416 | + | 0.565851i | ||||
\(629\) | 5.94740 | + | 6.86367i | 0.237139 | + | 0.273672i | ||||
\(630\) | −0.425839 | − | 2.96177i | −0.0169658 | − | 0.118000i | ||||
\(631\) | −3.18154 | + | 6.96659i | −0.126655 | + | 0.277336i | −0.962328 | − | 0.271892i | \(-0.912351\pi\) |
0.835673 | + | 0.549228i | \(0.185078\pi\) | |||||||
\(632\) | −5.27815 | + | 1.54981i | −0.209954 | + | 0.0616479i | ||||
\(633\) | 18.0369 | − | 5.29612i | 0.716904 | − | 0.210502i | ||||
\(634\) | 13.9742 | − | 30.5993i | 0.554987 | − | 1.21525i | ||||
\(635\) | 1.40414 | + | 9.76600i | 0.0557215 | + | 0.387552i | ||||
\(636\) | 3.58696 | + | 4.13957i | 0.142232 | + | 0.164145i | ||||
\(637\) | −4.53973 | − | 9.94062i | −0.179871 | − | 0.393862i | ||||
\(638\) | −1.74157 | + | 1.11924i | −0.0689493 | + | 0.0443111i | ||||
\(639\) | −0.970501 | + | 6.74998i | −0.0383924 | + | 0.267025i | ||||
\(640\) | −0.841254 | − | 0.540641i | −0.0332535 | − | 0.0213707i | ||||
\(641\) | 5.00671 | − | 5.77805i | 0.197753 | − | 0.228219i | −0.648209 | − | 0.761463i | \(-0.724482\pi\) |
0.845962 | + | 0.533244i | \(0.179027\pi\) | |||||||
\(642\) | −9.03418 | − | 2.65268i | −0.356551 | − | 0.104693i | ||||
\(643\) | 41.8718 | 1.65126 | 0.825631 | − | 0.564210i | \(-0.190819\pi\) | ||||
0.825631 | + | 0.564210i | \(0.190819\pi\) | |||||||
\(644\) | 5.88736 | + | 13.0869i | 0.231994 | + | 0.515698i | ||||
\(645\) | −9.25335 | −0.364350 | ||||||||
\(646\) | −12.2871 | − | 3.60782i | −0.483430 | − | 0.141948i | ||||
\(647\) | 23.4875 | − | 27.1061i | 0.923390 | − | 1.06565i | −0.0742669 | − | 0.997238i | \(-0.523662\pi\) |
0.997657 | − | 0.0684108i | \(-0.0217929\pi\) | |||||||
\(648\) | 0.841254 | + | 0.540641i | 0.0330476 | + | 0.0212384i | ||||
\(649\) | 5.39647 | − | 37.5333i | 0.211830 | − | 1.47331i | ||||
\(650\) | −4.70627 | + | 3.02453i | −0.184595 | + | 0.118632i | ||||
\(651\) | 9.13583 | + | 20.0047i | 0.358062 | + | 0.784045i | ||||
\(652\) | 13.6237 | + | 15.7226i | 0.533544 | + | 0.615743i | ||||
\(653\) | −6.52408 | − | 45.3760i | −0.255307 | − | 1.77570i | −0.565227 | − | 0.824936i | \(-0.691211\pi\) |
0.309920 | − | 0.950763i | \(-0.399698\pi\) | |||||||
\(654\) | −4.62362 | + | 10.1243i | −0.180798 | + | 0.395892i | ||||
\(655\) | −5.08166 | + | 1.49211i | −0.198557 | + | 0.0583016i | ||||
\(656\) | −2.79379 | + | 0.820331i | −0.109079 | + | 0.0320286i | ||||
\(657\) | 1.21359 | − | 2.65739i | 0.0473467 | − | 0.103675i | ||||
\(658\) | −3.24683 | − | 22.5822i | −0.126575 | − | 0.880345i | ||||
\(659\) | −5.06819 | − | 5.84900i | −0.197429 | − | 0.227845i | 0.648400 | − | 0.761300i | \(-0.275439\pi\) |
−0.845828 | + | 0.533455i | \(0.820893\pi\) | |||||||
\(660\) | −1.25667 | − | 2.75172i | −0.0489158 | − | 0.107111i | ||||
\(661\) | −18.3954 | + | 11.8220i | −0.715497 | + | 0.459822i | −0.847068 | − | 0.531485i | \(-0.821634\pi\) |
0.131571 | + | 0.991307i | \(0.457998\pi\) | |||||||
\(662\) | 3.97455 | − | 27.6436i | 0.154475 | − | 1.07440i | ||||
\(663\) | −12.0550 | − | 7.74731i | −0.468179 | − | 0.300881i | ||||
\(664\) | −1.87870 | + | 2.16814i | −0.0729078 | + | 0.0841401i | ||||
\(665\) | −14.3533 | − | 4.21451i | −0.556597 | − | 0.163432i | ||||
\(666\) | −3.54557 | −0.137388 | ||||||||
\(667\) | 1.38026 | − | 2.97765i | 0.0534439 | − | 0.115295i | ||||
\(668\) | −1.24863 | −0.0483111 | ||||||||
\(669\) | −15.5818 | − | 4.57524i | −0.602429 | − | 0.176889i | ||||
\(670\) | 1.46980 | − | 1.69624i | 0.0567833 | − | 0.0655314i | ||||
\(671\) | −34.3696 | − | 22.0880i | −1.32682 | − | 0.852698i | ||||
\(672\) | 0.425839 | − | 2.96177i | 0.0164271 | − | 0.114253i | ||||
\(673\) | 26.1688 | − | 16.8177i | 1.00873 | − | 0.648273i | 0.0716679 | − | 0.997429i | \(-0.477168\pi\) |
0.937065 | + | 0.349155i | \(0.113531\pi\) | |||||||
\(674\) | 1.46126 | + | 3.19971i | 0.0562855 | + | 0.123248i | ||||
\(675\) | −0.654861 | − | 0.755750i | −0.0252056 | − | 0.0290888i | ||||
\(676\) | −2.60390 | − | 18.1105i | −0.100150 | − | 0.696559i | ||||
\(677\) | −4.20693 | + | 9.21190i | −0.161686 | + | 0.354042i | −0.973084 | − | 0.230452i | \(-0.925980\pi\) |
0.811398 | + | 0.584494i | \(0.198707\pi\) | |||||||
\(678\) | 10.3546 | − | 3.04037i | 0.397665 | − | 0.116765i | ||||
\(679\) | −21.4484 | + | 6.29781i | −0.823113 | + | 0.241688i | ||||
\(680\) | −1.06408 | + | 2.33001i | −0.0408056 | + | 0.0893519i | ||||
\(681\) | 0.849177 | + | 5.90616i | 0.0325405 | + | 0.226324i | ||||
\(682\) | 14.5599 | + | 16.8030i | 0.557528 | + | 0.643421i | ||||
\(683\) | 14.5672 | + | 31.8977i | 0.557399 | + | 1.22053i | 0.953240 | + | 0.302214i | \(0.0977258\pi\) |
−0.395841 | + | 0.918319i | \(0.629547\pi\) | |||||||
\(684\) | 4.20574 | − | 2.70286i | 0.160810 | − | 0.103347i | ||||
\(685\) | 1.36777 | − | 9.51302i | 0.0522597 | − | 0.363474i | ||||
\(686\) | 12.7033 | + | 8.16394i | 0.485016 | + | 0.311701i | ||||
\(687\) | −0.709271 | + | 0.818542i | −0.0270604 | + | 0.0312293i | ||||
\(688\) | −8.87852 | − | 2.60697i | −0.338491 | − | 0.0993898i | ||||
\(689\) | 30.6427 | 1.16739 | ||||||||
\(690\) | 4.01978 | + | 2.61561i | 0.153030 | + | 0.0995744i | ||||
\(691\) | 3.48516 | 0.132582 | 0.0662908 | − | 0.997800i | \(-0.478884\pi\) | ||||
0.0662908 | + | 0.997800i | \(0.478884\pi\) | |||||||
\(692\) | 5.56728 | + | 1.63470i | 0.211636 | + | 0.0621420i | ||||
\(693\) | 5.92765 | − | 6.84087i | 0.225173 | − | 0.259863i | ||||
\(694\) | −25.9454 | − | 16.6741i | −0.984872 | − | 0.632939i | ||||
\(695\) | −2.41320 | + | 16.7842i | −0.0915378 | + | 0.636660i | ||||
\(696\) | −0.575708 | + | 0.369985i | −0.0218221 | + | 0.0140242i | ||||
\(697\) | 3.09832 | + | 6.78438i | 0.117357 | + | 0.256977i | ||||
\(698\) | 13.4963 | + | 15.5756i | 0.510844 | + | 0.589545i | ||||
\(699\) | −0.532063 | − | 3.70058i | −0.0201245 | − | 0.139969i | ||||
\(700\) | −1.24302 | + | 2.72183i | −0.0469816 | + | 0.102875i | ||||
\(701\) | 5.89225 | − | 1.73012i | 0.222547 | − | 0.0653457i | −0.168558 | − | 0.985692i | \(-0.553911\pi\) |
0.391105 | + | 0.920346i | \(0.372093\pi\) | |||||||
\(702\) | 5.36774 | − | 1.57611i | 0.202592 | − | 0.0594865i | ||||
\(703\) | −7.36349 | + | 16.1238i | −0.277719 | + | 0.608120i | ||||
\(704\) | −0.430515 | − | 2.99430i | −0.0162257 | − | 0.112852i | ||||
\(705\) | −4.99302 | − | 5.76225i | −0.188048 | − | 0.217019i | ||||
\(706\) | −6.17797 | − | 13.5279i | −0.232511 | − | 0.509128i | ||||
\(707\) | 17.3201 | − | 11.1310i | 0.651389 | − | 0.418623i | ||||
\(708\) | 1.78390 | − | 12.4073i | 0.0670432 | − | 0.466295i | ||||
\(709\) | 37.8866 | + | 24.3482i | 1.42286 | + | 0.914417i | 0.999966 | + | 0.00823831i | \(0.00262236\pi\) |
0.422895 | + | 0.906179i | \(0.361014\pi\) | |||||||
\(710\) | 4.46575 | − | 5.15375i | 0.167597 | − | 0.193417i | ||||
\(711\) | −5.27815 | − | 1.54981i | −0.197946 | − | 0.0581222i | ||||
\(712\) | −2.94055 | −0.110202 | ||||||||
\(713\) | −33.7635 | − | 10.1217i | −1.26445 | − | 0.379060i | ||||
\(714\) | −7.66456 | −0.286839 | ||||||||
\(715\) | −16.2379 | − | 4.76788i | −0.607263 | − | 0.178309i | ||||
\(716\) | 15.1000 | − | 17.4264i | 0.564314 | − | 0.651253i | ||||
\(717\) | −8.59886 | − | 5.52615i | −0.321130 | − | 0.206378i | ||||
\(718\) | 3.58406 | − | 24.9277i | 0.133756 | − | 0.930293i | ||||
\(719\) | 8.35028 | − | 5.36640i | 0.311413 | − | 0.200133i | −0.375593 | − | 0.926785i | \(-0.622561\pi\) |
0.687006 | + | 0.726652i | \(0.258925\pi\) | |||||||
\(720\) | −0.415415 | − | 0.909632i | −0.0154816 | − | 0.0339000i | ||||
\(721\) | 29.4375 | + | 33.9727i | 1.09631 | + | 1.26521i | ||||
\(722\) | −0.852993 | − | 5.93270i | −0.0317451 | − | 0.220792i | ||||
\(723\) | −10.6644 | + | 23.3517i | −0.396612 | + | 0.868460i | ||||
\(724\) | 6.29296 | − | 1.84778i | 0.233876 | − | 0.0686722i | ||||
\(725\) | 0.656624 | − | 0.192802i | 0.0243864 | − | 0.00716049i | ||||
\(726\) | −0.768027 | + | 1.68175i | −0.0285042 | + | 0.0624154i | ||||
\(727\) | −3.35741 | − | 23.3513i | −0.124519 | − | 0.866050i | −0.952336 | − | 0.305052i | \(-0.901326\pi\) |
0.827817 | − | 0.560999i | \(-0.189583\pi\) | |||||||
\(728\) | −10.9621 | − | 12.6509i | −0.406282 | − | 0.468875i | ||||
\(729\) | 0.415415 | + | 0.909632i | 0.0153857 | + | 0.0336901i | ||||
\(730\) | −2.45763 | + | 1.57942i | −0.0909610 | + | 0.0584571i | ||||
\(731\) | −3.37319 | + | 23.4611i | −0.124762 | + | 0.867740i | ||||
\(732\) | −11.3615 | − | 7.30160i | −0.419934 | − | 0.269875i | ||||
\(733\) | −32.4679 | + | 37.4699i | −1.19923 | + | 1.38398i | −0.295798 | + | 0.955251i | \(0.595585\pi\) |
−0.903431 | + | 0.428733i | \(0.858960\pi\) | |||||||
\(734\) | 0.426302 | + | 0.125174i | 0.0157351 | + | 0.00462024i | ||||
\(735\) | −1.95343 | −0.0720534 | ||||||||
\(736\) | 3.12005 | + | 3.64216i | 0.115006 | + | 0.134252i | ||||
\(737\) | 6.78965 | 0.250100 | ||||||||
\(738\) | −2.79379 | − | 0.820331i | −0.102841 | − | 0.0301968i | ||||
\(739\) | 16.5869 | − | 19.1423i | 0.610160 | − | 0.704162i | −0.363647 | − | 0.931537i | \(-0.618469\pi\) |
0.973807 | + | 0.227375i | \(0.0730142\pi\) | |||||||
\(740\) | 2.98272 | + | 1.91688i | 0.109647 | + | 0.0704659i | ||||
\(741\) | 3.98029 | − | 27.6836i | 0.146220 | − | 1.01698i | ||||
\(742\) | 13.7879 | − | 8.86096i | 0.506171 | − | 0.325296i | ||||
\(743\) | 1.97835 | + | 4.33197i | 0.0725785 | + | 0.158925i | 0.942444 | − | 0.334365i | \(-0.108522\pi\) |
−0.869865 | + | 0.493289i | \(0.835794\pi\) | |||||||
\(744\) | 4.81305 | + | 5.55455i | 0.176455 | + | 0.203640i | ||||
\(745\) | −0.297401 | − | 2.06847i | −0.0108959 | − | 0.0757828i | ||||
\(746\) | −5.38702 | + | 11.7959i | −0.197233 | + | 0.431880i | ||||
\(747\) | −2.75265 | + | 0.808251i | −0.100714 | + | 0.0295723i | ||||
\(748\) | −7.43486 | + | 2.18307i | −0.271845 | + | 0.0798210i | ||||
\(749\) | −11.7037 | + | 25.6276i | −0.427645 | + | 0.936411i | ||||
\(750\) | 0.142315 | + | 0.989821i | 0.00519660 | + | 0.0361432i | ||||
\(751\) | 18.9796 | + | 21.9037i | 0.692577 | + | 0.799276i | 0.987730 | − | 0.156174i | \(-0.0499160\pi\) |
−0.295153 | + | 0.955450i | \(0.595371\pi\) | |||||||
\(752\) | −3.16735 | − | 6.93554i | −0.115501 | − | 0.252913i | ||||
\(753\) | −12.1236 | + | 7.79133i | −0.441807 | + | 0.283932i | ||||
\(754\) | −0.544847 | + | 3.78950i | −0.0198422 | + | 0.138005i | ||||
\(755\) | −15.9788 | − | 10.2690i | −0.581528 | − | 0.373726i | ||||
\(756\) | 1.95949 | − | 2.26138i | 0.0712661 | − | 0.0822454i | ||||
\(757\) | 43.9334 | + | 12.9000i | 1.59679 | + | 0.468858i | 0.954649 | − | 0.297733i | \(-0.0962304\pi\) |
0.642136 | + | 0.766591i | \(0.278049\pi\) | |||||||
\(758\) | 27.9248 | 1.01427 | ||||||||
\(759\) | 1.98341 | + | 14.3716i | 0.0719931 | + | 0.521656i | ||||
\(760\) | −4.99937 | −0.181346 | ||||||||
\(761\) | −22.6355 | − | 6.64640i | −0.820538 | − | 0.240932i | −0.155590 | − | 0.987822i | \(-0.549728\pi\) |
−0.664948 | + | 0.746890i | \(0.731546\pi\) | |||||||
\(762\) | −6.46113 | + | 7.45655i | −0.234062 | + | 0.270122i | ||||
\(763\) | 28.0170 | + | 18.0054i | 1.01428 | + | 0.651840i | ||||
\(764\) | −3.25464 | + | 22.6366i | −0.117749 | + | 0.818962i | ||||
\(765\) | −2.15486 | + | 1.38484i | −0.0779092 | + | 0.0500692i | ||||
\(766\) | −4.28419 | − | 9.38106i | −0.154794 | − | 0.338951i | ||||
\(767\) | −45.9219 | − | 52.9967i | −1.65814 | − | 1.91360i | ||||
\(768\) | −0.142315 | − | 0.989821i | −0.00513534 | − | 0.0357171i | ||||
\(769\) | 2.65197 | − | 5.80701i | 0.0956325 | − | 0.209406i | −0.855770 | − | 0.517357i | \(-0.826916\pi\) |
0.951402 | + | 0.307951i | \(0.0996433\pi\) | |||||||
\(770\) | −8.68511 | + | 2.55018i | −0.312989 | + | 0.0919020i | ||||
\(771\) | 20.6481 | − | 6.06282i | 0.743622 | − | 0.218347i | ||||
\(772\) | 9.00263 | − | 19.7130i | 0.324012 | − | 0.709487i | ||||
\(773\) | 4.35212 | + | 30.2696i | 0.156535 | + | 1.08872i | 0.904958 | + | 0.425501i | \(0.139902\pi\) |
−0.748423 | + | 0.663222i | \(0.769189\pi\) | |||||||
\(774\) | −6.05965 | − | 6.99321i | −0.217810 | − | 0.251366i | ||||
\(775\) | −3.05319 | − | 6.68555i | −0.109674 | − | 0.240152i | ||||
\(776\) | −6.28470 | + | 4.03893i | −0.225608 | + | 0.144989i | ||||
\(777\) | −1.50984 | + | 10.5012i | −0.0541652 | + | 0.376727i | ||||
\(778\) | −5.28252 | − | 3.39487i | −0.189388 | − | 0.121712i | ||||
\(779\) | −9.53271 | + | 11.0013i | −0.341545 | + | 0.394164i | ||||
\(780\) | −5.36774 | − | 1.57611i | −0.192196 | − | 0.0564338i | ||||
\(781\) | 20.6293 | 0.738174 | ||||||||
\(782\) | 8.09701 | − | 9.23832i | 0.289548 | − | 0.330362i | ||||
\(783\) | −0.684345 | −0.0244565 | ||||||||
\(784\) | −1.87430 | − | 0.550345i | −0.0669394 | − | 0.0196552i | ||||
\(785\) | 10.2086 | − | 11.7813i | 0.364360 | − | 0.420494i | ||||
\(786\) | −4.45544 | − | 2.86334i | −0.158920 | − | 0.102132i | ||||
\(787\) | −3.72641 | + | 25.9177i | −0.132832 | + | 0.923867i | 0.809006 | + | 0.587800i | \(0.200006\pi\) |
−0.941838 | + | 0.336067i | \(0.890903\pi\) | |||||||
\(788\) | −16.5389 | + | 10.6289i | −0.589172 | + | 0.378638i | ||||
\(789\) | −10.3508 | − | 22.6651i | −0.368498 | − | 0.806899i | ||||
\(790\) | 3.60238 | + | 4.15736i | 0.128167 | + | 0.147912i | ||||
\(791\) | −4.59552 | − | 31.9626i | −0.163398 | − | 1.13646i | ||||
\(792\) | 1.25667 | − | 2.75172i | 0.0446538 | − | 0.0977781i | ||||
\(793\) | −72.4938 | + | 21.2861i | −2.57433 | + | 0.755892i | ||||
\(794\) | 6.59136 | − | 1.93540i | 0.233919 | − | 0.0686847i | ||||
\(795\) | 2.27541 | − | 4.98245i | 0.0807005 | − | 0.176709i | ||||
\(796\) | −1.02212 | − | 7.10904i | −0.0362283 | − | 0.251973i | ||||
\(797\) | 28.1714 | + | 32.5115i | 0.997882 | + | 1.15162i | 0.988433 | + | 0.151661i | \(0.0484623\pi\) |
0.00944907 | + | 0.999955i | \(0.496992\pi\) | |||||||
\(798\) | −6.21430 | − | 13.6074i | −0.219984 | − | 0.481697i | ||||
\(799\) | −16.4298 | + | 10.5588i | −0.581246 | + | 0.373544i | ||||
\(800\) | −0.142315 | + | 0.989821i | −0.00503159 | + | 0.0349955i | ||||
\(801\) | −2.47375 | − | 1.58978i | −0.0874056 | − | 0.0561722i | ||||
\(802\) | −2.37530 | + | 2.74124i | −0.0838747 | + | 0.0967966i | ||||
\(803\) | −8.47950 | − | 2.48981i | −0.299235 | − | 0.0878634i | ||||
\(804\) | 2.24445 | 0.0791555 | ||||||||
\(805\) | 9.45860 | − | 10.7918i | 0.333372 | − | 0.380362i | ||||
\(806\) | 41.1170 | 1.44828 | ||||||||
\(807\) | 10.5370 | + | 3.09395i | 0.370921 | + | 0.108912i | ||||
\(808\) | 4.50586 | − | 5.20004i | 0.158516 | − | 0.182937i | ||||
\(809\) | −9.90979 | − | 6.36863i | −0.348410 | − | 0.223909i | 0.354717 | − | 0.934974i | \(-0.384577\pi\) |
−0.703127 | + | 0.711064i | \(0.748213\pi\) | |||||||
\(810\) | 0.142315 | − | 0.989821i | 0.00500043 | − | 0.0347788i | ||||
\(811\) | 9.87948 | − | 6.34916i | 0.346915 | − | 0.222949i | −0.355566 | − | 0.934651i | \(-0.615712\pi\) |
0.702481 | + | 0.711702i | \(0.252075\pi\) | |||||||
\(812\) | 0.850652 | + | 1.86267i | 0.0298520 | + | 0.0653668i | ||||
\(813\) | 19.6214 | + | 22.6443i | 0.688153 | + | 0.794171i | ||||
\(814\) | 1.52642 | + | 10.6165i | 0.0535011 | + | 0.372108i | ||||
\(815\) | 8.64226 | − | 18.9239i | 0.302725 | − | 0.662876i | ||||
\(816\) | −2.45773 | + | 0.721655i | −0.0860377 | + | 0.0252630i | ||||
\(817\) | −44.3870 | + | 13.0332i | −1.55291 | + | 0.455974i | ||||
\(818\) | 6.15208 | − | 13.4712i | 0.215102 | − | 0.471009i | ||||
\(819\) | −2.38229 | − | 16.5692i | −0.0832440 | − | 0.578974i | ||||
\(820\) | 1.90678 | + | 2.20054i | 0.0665877 | + | 0.0768463i | ||||
\(821\) | 17.1029 | + | 37.4500i | 0.596894 | + | 1.30701i | 0.931186 | + | 0.364545i | \(0.118776\pi\) |
−0.334292 | + | 0.942470i | \(0.608497\pi\) | |||||||
\(822\) | 8.08516 | − | 5.19602i | 0.282002 | − | 0.181232i | ||||
\(823\) | −2.14039 | + | 14.8867i | −0.0746093 | + | 0.518919i | 0.917906 | + | 0.396798i | \(0.129879\pi\) |
−0.992515 | + | 0.122121i | \(0.961030\pi\) | |||||||
\(824\) | 12.6382 | + | 8.12207i | 0.440272 | + | 0.282946i | ||||
\(825\) | −1.98101 | + | 2.28621i | −0.0689700 | + | 0.0795957i | ||||
\(826\) | −35.9880 | − | 10.5670i | −1.25218 | − | 0.367674i | ||||
\(827\) | 25.4266 | 0.884171 | 0.442085 | − | 0.896973i | \(-0.354239\pi\) | ||||
0.442085 | + | 0.896973i | \(0.354239\pi\) | |||||||
\(828\) | 0.655652 | + | 4.75080i | 0.0227855 | + | 0.165102i | ||||
\(829\) | 25.9739 | 0.902110 | 0.451055 | − | 0.892496i | \(-0.351048\pi\) | ||||
0.451055 | + | 0.892496i | \(0.351048\pi\) | |||||||
\(830\) | 2.75265 | + | 0.808251i | 0.0955458 | + | 0.0280548i | ||||
\(831\) | −1.03890 | + | 1.19895i | −0.0360390 | + | 0.0415912i | ||||
\(832\) | −4.70627 | − | 3.02453i | −0.163160 | − | 0.104857i | ||||
\(833\) | −0.712100 | + | 4.95276i | −0.0246728 | + | 0.171603i | ||||
\(834\) | −14.2649 | + | 9.16752i | −0.493954 | + | 0.317445i | ||||
\(835\) | 0.518702 | + | 1.13580i | 0.0179504 | + | 0.0393059i | ||||
\(836\) | −9.90382 | − | 11.4296i | −0.342531 | − | 0.395302i | ||||
\(837\) | 1.04598 | + | 7.27492i | 0.0361542 | + | 0.251458i | ||||
\(838\) | −9.80900 | + | 21.4787i | −0.338846 | + | 0.741970i | ||||
\(839\) | −26.7807 | + | 7.86352i | −0.924573 | + | 0.271479i | −0.709163 | − | 0.705045i | \(-0.750927\pi\) |
−0.215410 | + | 0.976524i | \(0.569109\pi\) | |||||||
\(840\) | −2.87102 | + | 0.843008i | −0.0990597 | + | 0.0290865i | ||||
\(841\) | −11.8525 | + | 25.9533i | −0.408706 | + | 0.894942i | ||||
\(842\) | 5.09368 | + | 35.4273i | 0.175540 | + | 1.22091i | ||||
\(843\) | 5.77898 | + | 6.66930i | 0.199039 | + | 0.229703i | ||||
\(844\) | −7.80914 | − | 17.0996i | −0.268802 | − | 0.588593i | ||||
\(845\) | −15.3922 | + | 9.89198i | −0.529508 | + | 0.340294i | ||||
\(846\) | 1.08509 | − | 7.54695i | 0.0373061 | − | 0.259469i | ||||
\(847\) | 4.65389 | + | 2.99087i | 0.159910 | + | 0.102768i | ||||
\(848\) | 3.58696 | − | 4.13957i | 0.123177 | − | 0.142153i | ||||
\(849\) | 7.86337 | + | 2.30889i | 0.269870 | + | 0.0792410i | ||||
\(850\) | 2.56149 | 0.0878583 | ||||||||
\(851\) | −11.0623 | − | 12.9135i | −0.379212 | − | 0.442670i | ||||
\(852\) | 6.81939 | 0.233629 | ||||||||
\(853\) | −3.11657 | − | 0.915108i | −0.106709 | − | 0.0313327i | 0.227942 | − | 0.973675i | \(-0.426800\pi\) |
−0.334651 | + | 0.942342i | \(0.608619\pi\) | |||||||
\(854\) | −26.4639 | + | 30.5409i | −0.905574 | + | 1.04509i | ||||
\(855\) | −4.20574 | − | 2.70286i | −0.143833 | − | 0.0924360i | ||||
\(856\) | −1.33998 | + | 9.31974i | −0.0457995 | + | 0.318542i | ||||
\(857\) | 3.12867 | − | 2.01068i | 0.106873 | − | 0.0686834i | −0.486112 | − | 0.873896i | \(-0.661585\pi\) |
0.592986 | + | 0.805213i | \(0.297949\pi\) | |||||||
\(858\) | −7.03025 | − | 15.3941i | −0.240009 | − | 0.525546i | ||||
\(859\) | 25.5930 | + | 29.5359i | 0.873221 | + | 1.00775i | 0.999875 | + | 0.0158040i | \(0.00503078\pi\) |
−0.126654 | + | 0.991947i | \(0.540424\pi\) | |||||||
\(860\) | 1.31689 | + | 9.15916i | 0.0449055 | + | 0.312325i | ||||
\(861\) | −3.61934 | + | 7.92525i | −0.123347 | + | 0.270092i | ||||
\(862\) | 32.0520 | − | 9.41132i | 1.09170 | − | 0.320551i | ||||
\(863\) | −11.9023 | + | 3.49484i | −0.405160 | + | 0.118966i | −0.477962 | − | 0.878381i | \(-0.658624\pi\) |
0.0728017 | + | 0.997346i | \(0.476806\pi\) | |||||||
\(864\) | 0.415415 | − | 0.909632i | 0.0141327 | − | 0.0309463i | ||||
\(865\) | −0.825756 | − | 5.74326i | −0.0280765 | − | 0.195277i | ||||
\(866\) | 18.5672 | + | 21.4277i | 0.630939 | + | 0.728142i | ||||
\(867\) | −4.33643 | − | 9.49545i | −0.147273 | − | 0.322482i | ||||
\(868\) | 18.5009 | − | 11.8898i | 0.627961 | − | 0.403566i | ||||
\(869\) | −2.36826 | + | 16.4716i | −0.0803376 | + | 0.558760i | ||||
\(870\) | 0.575708 | + | 0.369985i | 0.0195183 | + | 0.0125437i | ||||
\(871\) | 8.22257 | − | 9.48935i | 0.278611 | − | 0.321535i | ||||
\(872\) | 10.6793 | + | 3.13572i | 0.361646 | + | 0.106189i | ||||
\(873\) | −7.47064 | −0.252843 | ||||||||
\(874\) | 22.9664 | + | 6.88490i | 0.776849 | + | 0.232885i | ||||
\(875\) | 2.99223 | 0.101156 | ||||||||
\(876\) | −2.80306 | − | 0.823052i | −0.0947065 | − | 0.0278083i | ||||
\(877\) | 11.4072 | − | 13.1647i | 0.385195 | − | 0.444539i | −0.529728 | − | 0.848168i | \(-0.677706\pi\) |
0.914923 | + | 0.403629i | \(0.132251\pi\) | |||||||
\(878\) | 6.09241 | + | 3.91535i | 0.205609 | + | 0.132137i | ||||
\(879\) | 0.710553 | − | 4.94201i | 0.0239664 | − | 0.166690i | ||||
\(880\) | −2.54487 | + | 1.63549i | −0.0857875 | + | 0.0551323i | ||||
\(881\) | 20.5825 | + | 45.0693i | 0.693441 | + | 1.51842i | 0.847747 | + | 0.530401i | \(0.177959\pi\) |
−0.154306 | + | 0.988023i | \(0.549314\pi\) | |||||||
\(882\) | −1.27923 | − | 1.47631i | −0.0430738 | − | 0.0497098i | ||||
\(883\) | −1.79983 | − | 12.5181i | −0.0605690 | − | 0.421266i | −0.997435 | − | 0.0715780i | \(-0.977197\pi\) |
0.936866 | − | 0.349688i | \(-0.113713\pi\) | |||||||
\(884\) | −5.95284 | + | 13.0349i | −0.200216 | + | 0.438411i | ||||
\(885\) | −12.0272 | + | 3.53149i | −0.404288 | + | 0.118710i | ||||
\(886\) | −31.4343 | + | 9.22994i | −1.05606 | + | 0.310086i | ||||
\(887\) | 3.76464 | − | 8.24341i | 0.126404 | − | 0.276787i | −0.835840 | − | 0.548972i | \(-0.815019\pi\) |
0.962245 | + | 0.272186i | \(0.0877465\pi\) | |||||||
\(888\) | 0.504587 | + | 3.50948i | 0.0169328 | + | 0.117771i | ||||
\(889\) | 19.3332 | + | 22.3117i | 0.648414 | + | 0.748310i | ||||
\(890\) | 1.22155 | + | 2.67482i | 0.0409464 | + | 0.0896601i | ||||
\(891\) | 2.54487 | − | 1.63549i | 0.0852563 | − | 0.0547909i | ||||
\(892\) | −2.31114 | + | 16.0744i | −0.0773828 | + | 0.538209i | ||||
\(893\) | −32.0669 | − | 20.6081i | −1.07308 | − | 0.689625i | ||||
\(894\) | 1.36849 | − | 1.57932i | 0.0457691 | − | 0.0528203i | ||||
\(895\) | −22.1243 | − | 6.49629i | −0.739535 | − | 0.217147i | ||||
\(896\) | −2.99223 | −0.0999633 | ||||||||
\(897\) | 22.4880 | + | 14.6326i | 0.750854 | + | 0.488569i | ||||
\(898\) | −13.6423 | −0.455249 | ||||||||
\(899\) | −4.82601 | − | 1.41704i | −0.160956 | − | 0.0472611i | ||||
\(900\) | −0.654861 | + | 0.755750i | −0.0218287 | + | 0.0251917i | ||||
\(901\) | −11.8031 | − | 7.58540i | −0.393219 | − | 0.252706i | ||||
\(902\) | −1.25355 | + | 8.71862i | −0.0417386 | + | 0.290298i | ||||
\(903\) | −23.2927 | + | 14.9693i | −0.775134 | + | 0.498148i | ||||
\(904\) | −4.48304 | − | 9.81648i | −0.149104 | − | 0.326491i | ||||
\(905\) | −4.29499 | − | 4.95668i | −0.142770 | − | 0.164766i | ||||
\(906\) | −2.70313 | − | 18.8007i | −0.0898056 | − | 0.624612i | ||||
\(907\) | −19.5359 | + | 42.7777i | −0.648679 | + | 1.42041i | 0.244027 | + | 0.969769i | \(0.421532\pi\) |
−0.892706 | + | 0.450640i | \(0.851196\pi\) | |||||||
\(908\) | 5.72519 | − | 1.68107i | 0.189997 | − | 0.0557882i | ||||
\(909\) | 6.60193 | − | 1.93850i | 0.218972 | − | 0.0642960i | ||||
\(910\) | −6.95387 | + | 15.2269i | −0.230519 | + | 0.504765i | ||||
\(911\) | −6.98244 | − | 48.5640i | −0.231339 | − | 1.60900i | −0.692323 | − | 0.721587i | \(-0.743413\pi\) |
0.460985 | − | 0.887408i | \(-0.347496\pi\) | |||||||
\(912\) | −3.27389 | − | 3.77827i | −0.108409 | − | 0.125111i | ||||
\(913\) | 3.60520 | + | 7.89429i | 0.119315 | + | 0.261263i | ||||
\(914\) | 30.8583 | − | 19.8314i | 1.02070 | − | 0.655966i | ||||
\(915\) | −1.92203 | + | 13.3680i | −0.0635403 | + | 0.441932i | ||||
\(916\) | 0.911150 | + | 0.585561i | 0.0301053 | + | 0.0193475i | ||||
\(917\) | −10.3779 | + | 11.9767i | −0.342707 | + | 0.395505i | ||||
\(918\) | −2.45773 | − | 0.721655i | −0.0811172 | − | 0.0238181i | ||||
\(919\) | −2.27457 | −0.0750312 | −0.0375156 | − | 0.999296i | \(-0.511944\pi\) | ||||
−0.0375156 | + | 0.999296i | \(0.511944\pi\) | |||||||
\(920\) | 2.01691 | − | 4.35110i | 0.0664955 | − | 0.143452i | ||||
\(921\) | −9.91066 | −0.326567 | ||||||||
\(922\) | 39.8502 | + | 11.7011i | 1.31240 | + | 0.385354i | ||||
\(923\) | 24.9830 | − | 28.8319i | 0.822325 | − | 0.949014i | ||||
\(924\) | −7.61483 | − | 4.89375i | −0.250510 | − | 0.160993i | ||||
\(925\) | 0.504587 | − | 3.50948i | 0.0165907 | − | 0.115391i | ||||
\(926\) | 2.25022 | − | 1.44613i | 0.0739467 | − | 0.0475227i | ||||
\(927\) | 6.24080 | + | 13.6654i | 0.204975 | + | 0.448832i | ||||
\(928\) | 0.448151 | + | 0.517193i | 0.0147113 | + | 0.0169777i | ||||
\(929\) | −1.03356 | − | 7.18860i | −0.0339102 | − | 0.235850i | 0.965817 | − | 0.259226i | \(-0.0834676\pi\) |
−0.999727 | + | 0.0233761i | \(0.992558\pi\) | |||||||
\(930\) | 3.05319 | − | 6.68555i | 0.100118 | − | 0.219228i | ||||
\(931\) | −9.37034 | + | 2.75138i | −0.307100 | + | 0.0901728i | ||||
\(932\) | −3.58719 | + | 1.05329i | −0.117502 | + | 0.0345018i | ||||
\(933\) | 14.4125 | − | 31.5589i | 0.471843 | − | 1.03319i | ||||
\(934\) | −2.48948 | − | 17.3147i | −0.0814582 | − | 0.566554i | ||||
\(935\) | 5.07434 | + | 5.85610i | 0.165949 | + | 0.191515i | ||||
\(936\) | −2.32398 | − | 5.08880i | −0.0759616 | − | 0.166333i | ||||
\(937\) | −18.7454 | + | 12.0469i | −0.612384 | + | 0.393556i | −0.809751 | − | 0.586774i | \(-0.800398\pi\) |
0.197366 | + | 0.980330i | \(0.436761\pi\) | |||||||
\(938\) | 0.955771 | − | 6.64754i | 0.0312070 | − | 0.217050i | ||||
\(939\) | −3.44169 | − | 2.21184i | −0.112315 | − | 0.0721806i | ||||
\(940\) | −4.99302 | + | 5.76225i | −0.162854 | + | 0.187944i | ||||
\(941\) | −13.5624 | − | 3.98229i | −0.442123 | − | 0.129819i | 0.0530916 | − | 0.998590i | \(-0.483092\pi\) |
−0.495215 | + | 0.868771i | \(0.664911\pi\) | |||||||
\(942\) | 15.5889 | 0.507915 | ||||||||
\(943\) | −5.72899 | − | 12.7349i | −0.186561 | − | 0.414705i | ||||
\(944\) | −12.5349 | −0.407976 | ||||||||
\(945\) | −2.87102 | − | 0.843008i | −0.0933944 | − | 0.0274231i | ||||
\(946\) | −18.3310 | + | 21.1551i | −0.595993 | + | 0.687812i | ||||
\(947\) | 29.7345 | + | 19.1092i | 0.966240 | + | 0.620965i | 0.925718 | − | 0.378214i | \(-0.123462\pi\) |
0.0405220 | + | 0.999179i | \(0.487098\pi\) | |||||||
\(948\) | −0.782871 | + | 5.44499i | −0.0254265 | + | 0.176845i | ||||
\(949\) | −13.7489 | + | 8.83585i | −0.446307 | + | 0.286824i | ||||
\(950\) | 2.07681 | + | 4.54759i | 0.0673807 | + | 0.147543i | ||||
\(951\) | −22.0290 | − | 25.4228i | −0.714338 | − | 0.824391i | ||||
\(952\) | 1.09078 | + | 7.58654i | 0.0353524 | + | 0.245881i | ||||
\(953\) | 10.7804 | − | 23.6059i | 0.349213 | − | 0.764669i | −0.650773 | − | 0.759273i | \(-0.725555\pi\) |
0.999985 | − | 0.00539667i | \(-0.00171782\pi\) | |||||||
\(954\) | 5.25556 | − | 1.54317i | 0.170155 | − | 0.0499621i | ||||
\(955\) | 21.9430 | − | 6.44303i | 0.710058 | − | 0.208492i | ||||
\(956\) | −4.24616 | + | 9.29779i | −0.137331 | + | 0.300712i | ||||
\(957\) | 0.294621 | + | 2.04913i | 0.00952375 | + | 0.0662391i | ||||
\(958\) | −4.43675 | − | 5.12028i | −0.143345 | − | 0.165429i | ||||
\(959\) | −11.9464 | − | 26.1591i | −0.385771 | − | 0.844720i | ||||
\(960\) | −0.841254 | + | 0.540641i | −0.0271513 | + | 0.0174491i | ||||
\(961\) | −3.27587 | + | 22.7842i | −0.105673 | + | 0.734974i | ||||
\(962\) | 16.6864 | + | 10.7237i | 0.537991 | + | 0.345746i | ||||
\(963\) | −6.16589 | + | 7.11582i | −0.198693 | + | 0.229304i | ||||
\(964\) | 24.6317 | + | 7.23253i | 0.793335 | + | 0.232944i | ||||
\(965\) | −21.6714 | −0.697627 | ||||||||
\(966\) | 14.3500 | + | 0.0811830i | 0.461703 | + | 0.00261202i | ||||
\(967\) | −27.7972 | −0.893898 | −0.446949 | − | 0.894560i | \(-0.647489\pi\) | ||||
−0.446949 | + | 0.894560i | \(0.647489\pi\) | |||||||
\(968\) | 1.77393 | + | 0.520873i | 0.0570163 | + | 0.0167415i | ||||
\(969\) | −8.38603 | + | 9.67800i | −0.269398 | + | 0.310902i | ||||
\(970\) | 6.28470 | + | 4.03893i | 0.201790 | + | 0.129682i | ||||
\(971\) | 4.01238 | − | 27.9067i | 0.128763 | − | 0.895569i | −0.818361 | − | 0.574704i | \(-0.805117\pi\) |
0.947125 | − | 0.320865i | \(-0.103974\pi\) | |||||||
\(972\) | 0.841254 | − | 0.540641i | 0.0269832 | − | 0.0173411i | ||||
\(973\) | 21.0775 | + | 46.1534i | 0.675715 | + | 1.47961i | ||||
\(974\) | −5.59989 | − | 6.46262i | −0.179432 | − | 0.207076i | ||||
\(975\) | 0.796159 | + | 5.53741i | 0.0254975 | + | 0.177339i | ||||
\(976\) | −5.61037 | + | 12.2850i | −0.179584 | + | 0.393233i | ||||
\(977\) | −8.42671 | + | 2.47431i | −0.269594 | + | 0.0791601i | −0.413736 | − | 0.910397i | \(-0.635776\pi\) |
0.144141 | + | 0.989557i | \(0.453958\pi\) | |||||||
\(978\) | 19.9612 | − | 5.86114i | 0.638289 | − | 0.187419i | ||||
\(979\) | −3.69530 | + | 8.09157i | −0.118102 | + | 0.258608i | ||||
\(980\) | 0.278002 | + | 1.93355i | 0.00888046 | + | 0.0617649i | ||||
\(981\) | 7.28868 | + | 8.41158i | 0.232710 | + | 0.268561i | ||||
\(982\) | 10.1846 | + | 22.3013i | 0.325005 | + | 0.711662i | ||||
\(983\) | 13.6991 | − | 8.80389i | 0.436934 | − | 0.280801i | −0.303625 | − | 0.952792i | \(-0.598197\pi\) |
0.740559 | + | 0.671991i | \(0.234561\pi\) | |||||||
\(984\) | −0.414383 | + | 2.88210i | −0.0132101 | + | 0.0918780i | ||||
\(985\) | 16.5389 | + | 10.6289i | 0.526972 | + | 0.338664i | ||||
\(986\) | 1.14793 | − | 1.32478i | 0.0365576 | − | 0.0421897i | ||||
\(987\) | −21.8903 | − | 6.42756i | −0.696775 | − | 0.204591i | ||||
\(988\) | −27.9682 | −0.889788 | ||||||||
\(989\) | 6.56398 | − | 43.8894i | 0.208722 | − | 1.39560i | ||||
\(990\) | −3.02509 | −0.0961437 | ||||||||
\(991\) | 11.2555 | + | 3.30491i | 0.357542 | + | 0.104984i | 0.455570 | − | 0.890200i | \(-0.349435\pi\) |
−0.0980281 | + | 0.995184i | \(0.531254\pi\) | |||||||
\(992\) | 4.81305 | − | 5.55455i | 0.152814 | − | 0.176357i | ||||
\(993\) | −23.4944 | − | 15.0989i | −0.745572 | − | 0.479150i | ||||
\(994\) | 2.90396 | − | 20.1975i | 0.0921080 | − | 0.640625i | ||||
\(995\) | −6.04200 | + | 3.88296i | −0.191544 | + | 0.123098i | ||||
\(996\) | 1.19177 | + | 2.60960i | 0.0377626 | + | 0.0826885i | ||||
\(997\) | −9.68143 | − | 11.1730i | −0.306614 | − | 0.353852i | 0.581441 | − | 0.813589i | \(-0.302489\pi\) |
−0.888055 | + | 0.459737i | \(0.847944\pi\) | |||||||
\(998\) | −3.71990 | − | 25.8725i | −0.117751 | − | 0.818979i | ||||
\(999\) | −1.47288 | + | 3.22516i | −0.0466000 | + | 0.102040i |
(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 | 690.2.m.a.271.1 | ✓ | 10 | |
23.9 | even | 11 | inner | 690.2.m.a.331.1 | yes | 10 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.m.a.271.1 | ✓ | 10 | 1.1 | even | 1 | trivial | |
690.2.m.a.331.1 | yes | 10 | 23.9 | even | 11 | inner |