Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [81,2,Mod(4,81)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(81, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("81.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 81 = 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 81.g (of order \(27\), degree \(18\), 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: | \(0.646788256372\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{27})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{27}]$ |
Embedding invariants
Embedding label | 43.7 | ||
Character | \(\chi\) | \(=\) | 81.43 |
Dual form | 81.2.g.a.49.7 |
$q$-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 \(\left(\mathbb{Z}/81\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{11}{27}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.587043 | + | 1.96086i | 0.415102 | + | 1.38654i | 0.868703 | + | 0.495333i | \(0.164954\pi\) |
−0.453601 | + | 0.891205i | \(0.649861\pi\) | |||||||
\(3\) | −1.36820 | + | 1.06209i | −0.789930 | + | 0.613197i | ||||
\(4\) | −1.82938 | + | 1.20320i | −0.914691 | + | 0.601602i | ||||
\(5\) | 0.00823679 | + | 0.0190950i | 0.00368361 | + | 0.00853956i | 0.920048 | − | 0.391806i | \(-0.128149\pi\) |
−0.916364 | + | 0.400345i | \(0.868890\pi\) | |||||||
\(6\) | −2.88580 | − | 2.05936i | −1.17812 | − | 0.840729i | ||||
\(7\) | 0.0874756 | − | 1.50190i | 0.0330627 | − | 0.567664i | −0.940578 | − | 0.339577i | \(-0.889716\pi\) |
0.973641 | − | 0.228087i | \(-0.0732469\pi\) | |||||||
\(8\) | −0.297287 | − | 0.249453i | −0.105107 | − | 0.0881950i | ||||
\(9\) | 0.743938 | − | 2.90630i | 0.247979 | − | 0.968765i | ||||
\(10\) | −0.0326074 | + | 0.0273608i | −0.0103114 | + | 0.00865225i | ||||
\(11\) | 3.58878 | + | 4.82057i | 1.08206 | + | 1.45346i | 0.880540 | + | 0.473972i | \(0.157180\pi\) |
0.201518 | + | 0.979485i | \(0.435412\pi\) | |||||||
\(12\) | 1.22505 | − | 3.58919i | 0.353642 | − | 1.03611i | ||||
\(13\) | −1.50763 | − | 1.59800i | −0.418142 | − | 0.443205i | 0.483724 | − | 0.875221i | \(-0.339284\pi\) |
−0.901866 | + | 0.432016i | \(0.857802\pi\) | |||||||
\(14\) | 2.99637 | − | 0.710152i | 0.800812 | − | 0.189796i | ||||
\(15\) | −0.0315502 | − | 0.0173776i | −0.00814622 | − | 0.00448688i | ||||
\(16\) | −1.41989 | + | 3.29167i | −0.354972 | + | 0.822918i | ||||
\(17\) | −0.699765 | − | 3.96856i | −0.169718 | − | 0.962518i | −0.944066 | − | 0.329758i | \(-0.893033\pi\) |
0.774348 | − | 0.632760i | \(-0.218078\pi\) | |||||||
\(18\) | 6.13557 | − | 0.247363i | 1.44617 | − | 0.0583039i | ||||
\(19\) | 0.689869 | − | 3.91244i | 0.158267 | − | 0.897576i | −0.797471 | − | 0.603357i | \(-0.793829\pi\) |
0.955738 | − | 0.294219i | \(-0.0950595\pi\) | |||||||
\(20\) | −0.0380435 | − | 0.0250216i | −0.00850678 | − | 0.00559500i | ||||
\(21\) | 1.47546 | + | 2.14780i | 0.321972 | + | 0.468689i | ||||
\(22\) | −7.34570 | + | 9.86699i | −1.56611 | + | 2.10365i | ||||
\(23\) | −0.0585660 | − | 1.00554i | −0.0122119 | − | 0.209670i | −0.998894 | − | 0.0470114i | \(-0.985030\pi\) |
0.986682 | − | 0.162658i | \(-0.0520068\pi\) | |||||||
\(24\) | 0.671688 | + | 0.0255569i | 0.137108 | + | 0.00521679i | ||||
\(25\) | 3.43091 | − | 3.63655i | 0.686182 | − | 0.727311i | ||||
\(26\) | 2.24841 | − | 3.89435i | 0.440949 | − | 0.763746i | ||||
\(27\) | 2.06889 | + | 4.76652i | 0.398157 | + | 0.917317i | ||||
\(28\) | 1.64706 | + | 2.85280i | 0.311266 | + | 0.539128i | ||||
\(29\) | −5.47229 | − | 1.29696i | −1.01618 | − | 0.240839i | −0.311410 | − | 0.950276i | \(-0.600801\pi\) |
−0.704769 | + | 0.709437i | \(0.748949\pi\) | |||||||
\(30\) | 0.0155538 | − | 0.0720670i | 0.00283972 | − | 0.0131576i | ||||
\(31\) | 2.66908 | + | 1.34046i | 0.479382 | + | 0.240754i | 0.672045 | − | 0.740510i | \(-0.265416\pi\) |
−0.192663 | + | 0.981265i | \(0.561713\pi\) | |||||||
\(32\) | −8.05896 | − | 0.941957i | −1.42464 | − | 0.166516i | ||||
\(33\) | −10.0300 | − | 2.78390i | −1.74601 | − | 0.484614i | ||||
\(34\) | 7.37101 | − | 3.70186i | 1.26412 | − | 0.634864i | ||||
\(35\) | 0.0293993 | − | 0.0107005i | 0.00496939 | − | 0.00180871i | ||||
\(36\) | 2.13592 | + | 6.21184i | 0.355987 | + | 1.03531i | ||||
\(37\) | −6.49019 | − | 2.36224i | −1.06698 | − | 0.388349i | −0.251934 | − | 0.967744i | \(-0.581067\pi\) |
−0.815047 | + | 0.579395i | \(0.803289\pi\) | |||||||
\(38\) | 8.07674 | − | 0.944036i | 1.31022 | − | 0.153143i | ||||
\(39\) | 3.75996 | + | 0.585140i | 0.602075 | + | 0.0936974i | ||||
\(40\) | 0.00231463 | − | 0.00773139i | 0.000365975 | − | 0.00122244i | ||||
\(41\) | 1.41282 | − | 4.71915i | 0.220646 | − | 0.737008i | −0.773956 | − | 0.633240i | \(-0.781725\pi\) |
0.994601 | − | 0.103768i | \(-0.0330901\pi\) | |||||||
\(42\) | −3.34538 | + | 4.15403i | −0.516203 | + | 0.640981i | ||||
\(43\) | −6.54159 | + | 0.764602i | −0.997583 | + | 0.116601i | −0.599184 | − | 0.800611i | \(-0.704508\pi\) |
−0.398399 | + | 0.917212i | \(0.630434\pi\) | |||||||
\(44\) | −12.3654 | − | 4.50063i | −1.86415 | − | 0.678496i | ||||
\(45\) | 0.0616235 | − | 0.00973304i | 0.00918629 | − | 0.00145092i | ||||
\(46\) | 1.93734 | − | 0.705135i | 0.285646 | − | 0.103967i | ||||
\(47\) | −12.0829 | + | 6.06825i | −1.76247 | + | 0.885145i | −0.806733 | + | 0.590916i | \(0.798766\pi\) |
−0.955735 | + | 0.294228i | \(0.904937\pi\) | |||||||
\(48\) | −1.55335 | − | 6.01171i | −0.224207 | − | 0.867715i | ||||
\(49\) | 4.70462 | + | 0.549892i | 0.672089 | + | 0.0785560i | ||||
\(50\) | 9.14487 | + | 4.59273i | 1.29328 | + | 0.649510i | ||||
\(51\) | 5.17238 | + | 4.68657i | 0.724278 | + | 0.656252i | ||||
\(52\) | 4.68076 | + | 1.10936i | 0.649104 | + | 0.153840i | ||||
\(53\) | 4.73855 | + | 8.20740i | 0.650890 | + | 1.12737i | 0.982907 | + | 0.184101i | \(0.0589372\pi\) |
−0.332018 | + | 0.943273i | \(0.607729\pi\) | |||||||
\(54\) | −8.13196 | + | 6.85496i | −1.10662 | + | 0.932841i | ||||
\(55\) | −0.0624889 | + | 0.108234i | −0.00842600 | + | 0.0145943i | ||||
\(56\) | −0.400658 | + | 0.424673i | −0.0535402 | + | 0.0567493i | ||||
\(57\) | 3.21148 | + | 6.08570i | 0.425371 | + | 0.806071i | ||||
\(58\) | −0.669320 | − | 11.4918i | −0.0878860 | − | 1.50895i | ||||
\(59\) | −1.04543 | + | 1.40425i | −0.136103 | + | 0.182818i | −0.864949 | − | 0.501859i | \(-0.832650\pi\) |
0.728846 | + | 0.684678i | \(0.240057\pi\) | |||||||
\(60\) | 0.0786262 | − | 0.00617101i | 0.0101506 | − | 0.000796673i | ||||
\(61\) | 7.43976 | + | 4.89321i | 0.952564 | + | 0.626511i | 0.927759 | − | 0.373181i | \(-0.121733\pi\) |
0.0248056 | + | 0.999692i | \(0.492103\pi\) | |||||||
\(62\) | −1.06160 | + | 6.02061i | −0.134823 | + | 0.764619i | ||||
\(63\) | −4.29988 | − | 1.37155i | −0.541734 | − | 0.172799i | ||||
\(64\) | −1.63891 | − | 9.29469i | −0.204863 | − | 1.16184i | ||||
\(65\) | 0.0180958 | − | 0.0419507i | 0.00224450 | − | 0.00520334i | ||||
\(66\) | −0.429229 | − | 21.3018i | −0.0528344 | − | 2.62207i | ||||
\(67\) | 13.2656 | − | 3.14400i | 1.62065 | − | 0.384101i | 0.682651 | − | 0.730745i | \(-0.260827\pi\) |
0.937997 | + | 0.346644i | \(0.112679\pi\) | |||||||
\(68\) | 6.05513 | + | 6.41806i | 0.734292 | + | 0.778305i | ||||
\(69\) | 1.14810 | + | 1.31358i | 0.138215 | + | 0.158136i | ||||
\(70\) | 0.0382408 | + | 0.0513663i | 0.00457065 | + | 0.00613945i | ||||
\(71\) | −3.48681 | + | 2.92578i | −0.413808 | + | 0.347226i | −0.825802 | − | 0.563960i | \(-0.809277\pi\) |
0.411994 | + | 0.911187i | \(0.364833\pi\) | |||||||
\(72\) | −0.946147 | + | 0.678425i | −0.111505 | + | 0.0799532i | ||||
\(73\) | −7.30212 | − | 6.12720i | −0.854648 | − | 0.717135i | 0.106160 | − | 0.994349i | \(-0.466144\pi\) |
−0.960808 | + | 0.277214i | \(0.910589\pi\) | |||||||
\(74\) | 0.821995 | − | 14.1131i | 0.0955549 | − | 1.64061i | ||||
\(75\) | −0.831830 | + | 8.61946i | −0.0960514 | + | 0.995289i | ||||
\(76\) | 3.44543 | + | 7.98741i | 0.395218 | + | 0.916219i | ||||
\(77\) | 7.55393 | − | 4.96830i | 0.860850 | − | 0.566190i | ||||
\(78\) | 1.05988 | + | 7.71626i | 0.120008 | + | 0.873694i | ||||
\(79\) | 0.913387 | + | 3.05093i | 0.102764 | + | 0.343256i | 0.993872 | − | 0.110535i | \(-0.0352565\pi\) |
−0.891108 | + | 0.453791i | \(0.850071\pi\) | |||||||
\(80\) | −0.0745499 | −0.00833493 | ||||||||
\(81\) | −7.89311 | − | 4.32421i | −0.877013 | − | 0.480468i | ||||
\(82\) | 10.0830 | 1.11348 | ||||||||
\(83\) | −0.481396 | − | 1.60798i | −0.0528401 | − | 0.176498i | 0.927496 | − | 0.373833i | \(-0.121957\pi\) |
−0.980336 | + | 0.197335i | \(0.936771\pi\) | |||||||
\(84\) | −5.28343 | − | 2.15387i | −0.576470 | − | 0.235006i | ||||
\(85\) | 0.0700161 | − | 0.0460503i | 0.00759431 | − | 0.00499485i | ||||
\(86\) | −5.33948 | − | 12.3783i | −0.575770 | − | 1.33479i | ||||
\(87\) | 8.86467 | − | 4.03756i | 0.950393 | − | 0.432872i | ||||
\(88\) | 0.135609 | − | 2.32832i | 0.0144560 | − | 0.248200i | ||||
\(89\) | −7.75680 | − | 6.50872i | −0.822219 | − | 0.689923i | 0.131272 | − | 0.991346i | \(-0.458094\pi\) |
−0.953491 | + | 0.301423i | \(0.902538\pi\) | |||||||
\(90\) | 0.0552608 | + | 0.115121i | 0.00582500 | + | 0.0121349i | ||||
\(91\) | −2.53191 | + | 2.12452i | −0.265416 | + | 0.222711i | ||||
\(92\) | 1.31701 | + | 1.76905i | 0.137308 | + | 0.184436i | ||||
\(93\) | −5.07553 | + | 1.00078i | −0.526308 | + | 0.103776i | ||||
\(94\) | −18.9922 | − | 20.1305i | −1.95889 | − | 2.07630i | ||||
\(95\) | 0.0803905 | − | 0.0190529i | 0.00824790 | − | 0.00195479i | ||||
\(96\) | 12.0267 | − | 7.27054i | 1.22747 | − | 0.742047i | ||||
\(97\) | −2.62993 | + | 6.09687i | −0.267029 | + | 0.619043i | −0.997990 | − | 0.0633767i | \(-0.979813\pi\) |
0.730961 | + | 0.682420i | \(0.239072\pi\) | |||||||
\(98\) | 1.68356 | + | 9.54793i | 0.170065 | + | 0.964486i | ||||
\(99\) | 16.6798 | − | 6.84386i | 1.67639 | − | 0.687833i | ||||
\(100\) | −1.90093 | + | 10.7807i | −0.190093 | + | 1.07807i | ||||
\(101\) | 2.33869 | + | 1.53818i | 0.232709 | + | 0.153055i | 0.660508 | − | 0.750819i | \(-0.270341\pi\) |
−0.427800 | + | 0.903874i | \(0.640711\pi\) | |||||||
\(102\) | −6.15331 | + | 12.8935i | −0.609269 | + | 1.27665i | ||||
\(103\) | 2.70182 | − | 3.62917i | 0.266218 | − | 0.357593i | −0.648833 | − | 0.760931i | \(-0.724743\pi\) |
0.915051 | + | 0.403338i | \(0.132150\pi\) | |||||||
\(104\) | 0.0495737 | + | 0.851147i | 0.00486110 | + | 0.0834618i | ||||
\(105\) | −0.0288593 | + | 0.0458650i | −0.00281638 | + | 0.00447597i | ||||
\(106\) | −13.3119 | + | 14.1097i | −1.29296 | + | 1.37046i | ||||
\(107\) | 2.05630 | − | 3.56161i | 0.198790 | − | 0.344314i | −0.749347 | − | 0.662178i | \(-0.769632\pi\) |
0.948136 | + | 0.317864i | \(0.102966\pi\) | |||||||
\(108\) | −9.51988 | − | 6.23050i | −0.916051 | − | 0.599530i | ||||
\(109\) | 4.81003 | + | 8.33121i | 0.460717 | + | 0.797985i | 0.998997 | − | 0.0447810i | \(-0.0142590\pi\) |
−0.538280 | + | 0.842766i | \(0.680926\pi\) | |||||||
\(110\) | −0.248916 | − | 0.0589941i | −0.0237332 | − | 0.00562486i | ||||
\(111\) | 11.3888 | − | 3.66114i | 1.08097 | − | 0.347500i | ||||
\(112\) | 4.81955 | + | 2.42047i | 0.455404 | + | 0.228713i | ||||
\(113\) | 1.83824 | + | 0.214859i | 0.172927 | + | 0.0202122i | 0.202116 | − | 0.979362i | \(-0.435218\pi\) |
−0.0291888 | + | 0.999574i | \(0.509292\pi\) | |||||||
\(114\) | −10.0479 | + | 9.86984i | −0.941076 | + | 0.924395i | ||||
\(115\) | 0.0187184 | − | 0.00940074i | 0.00174550 | − | 0.000876624i | ||||
\(116\) | 11.5714 | − | 4.21166i | 1.07438 | − | 0.391042i | ||||
\(117\) | −5.76584 | + | 3.19282i | −0.533052 | + | 0.295176i | ||||
\(118\) | −3.36726 | − | 1.22558i | −0.309982 | − | 0.112824i | ||||
\(119\) | −6.02159 | + | 0.703823i | −0.551998 | + | 0.0645193i | ||||
\(120\) | 0.00504455 | + | 0.0130364i | 0.000460502 | + | 0.00119006i | ||||
\(121\) | −7.20371 | + | 24.0621i | −0.654883 | + | 2.18746i | ||||
\(122\) | −5.22744 | + | 17.4609i | −0.473270 | + | 1.58083i | ||||
\(123\) | 3.07914 | + | 7.95729i | 0.277636 | + | 0.717484i | ||||
\(124\) | −6.49563 | + | 0.759230i | −0.583325 | + | 0.0681809i | ||||
\(125\) | 0.195408 | + | 0.0711227i | 0.0174778 | + | 0.00636141i | ||||
\(126\) | 0.165199 | − | 9.23663i | 0.0147171 | − | 0.822865i | ||||
\(127\) | −17.8824 | + | 6.50866i | −1.58681 | + | 0.577550i | −0.976670 | − | 0.214746i | \(-0.931108\pi\) |
−0.610136 | + | 0.792296i | \(0.708885\pi\) | |||||||
\(128\) | 2.76194 | − | 1.38710i | 0.244123 | − | 0.122603i | ||||
\(129\) | 8.13812 | − | 7.99387i | 0.716522 | − | 0.703821i | ||||
\(130\) | 0.0928825 | + | 0.0108564i | 0.00814633 | + | 0.000952170i | ||||
\(131\) | −0.710862 | − | 0.357008i | −0.0621083 | − | 0.0311920i | 0.417474 | − | 0.908689i | \(-0.362915\pi\) |
−0.479582 | + | 0.877497i | \(0.659212\pi\) | |||||||
\(132\) | 21.6984 | − | 6.97537i | 1.88860 | − | 0.607128i | ||||
\(133\) | −5.81574 | − | 1.37836i | −0.504289 | − | 0.119519i | ||||
\(134\) | 13.9524 | + | 24.1663i | 1.20531 | + | 2.08765i | ||||
\(135\) | −0.0739759 | + | 0.0787663i | −0.00636683 | + | 0.00677912i | ||||
\(136\) | −0.781940 | + | 1.35436i | −0.0670508 | + | 0.116135i | ||||
\(137\) | 2.90137 | − | 3.07527i | 0.247880 | − | 0.262738i | −0.591472 | − | 0.806326i | \(-0.701453\pi\) |
0.839352 | + | 0.543588i | \(0.182934\pi\) | |||||||
\(138\) | −1.90176 | + | 3.02240i | −0.161888 | + | 0.257283i | ||||
\(139\) | −0.318310 | − | 5.46516i | −0.0269987 | − | 0.463549i | −0.984530 | − | 0.175218i | \(-0.943937\pi\) |
0.957531 | − | 0.288331i | \(-0.0931002\pi\) | |||||||
\(140\) | −0.0409077 | + | 0.0549486i | −0.00345733 | + | 0.00464401i | ||||
\(141\) | 10.0868 | − | 21.1356i | 0.849459 | − | 1.77994i | ||||
\(142\) | −7.78396 | − | 5.11959i | −0.653216 | − | 0.429627i | ||||
\(143\) | 2.29269 | − | 13.0025i | 0.191725 | − | 1.08733i | ||||
\(144\) | 8.51026 | + | 6.57542i | 0.709189 | + | 0.547951i | ||||
\(145\) | −0.0203087 | − | 0.115176i | −0.00168655 | − | 0.00956488i | ||||
\(146\) | 7.72794 | − | 17.9154i | 0.639569 | − | 1.48269i | ||||
\(147\) | −7.02090 | + | 4.24436i | −0.579074 | + | 0.350069i | ||||
\(148\) | 14.7153 | − | 3.48759i | 1.20959 | − | 0.286678i | ||||
\(149\) | −5.33644 | − | 5.65630i | −0.437178 | − | 0.463382i | 0.470898 | − | 0.882188i | \(-0.343930\pi\) |
−0.908076 | + | 0.418806i | \(0.862449\pi\) | |||||||
\(150\) | −17.3899 | + | 3.42889i | −1.41988 | + | 0.279968i | ||||
\(151\) | −7.90781 | − | 10.6220i | −0.643529 | − | 0.864409i | 0.353958 | − | 0.935261i | \(-0.384835\pi\) |
−0.997487 | + | 0.0708524i | \(0.977428\pi\) | |||||||
\(152\) | −1.18106 | + | 0.991027i | −0.0957966 | + | 0.0803829i | ||||
\(153\) | −12.0544 | − | 0.918641i | −0.974541 | − | 0.0742677i | ||||
\(154\) | 14.1766 | + | 11.8956i | 1.14239 | + | 0.958575i | ||||
\(155\) | −0.00361152 | + | 0.0620074i | −0.000290084 | + | 0.00498055i | ||||
\(156\) | −7.58244 | + | 3.45355i | −0.607081 | + | 0.276505i | ||||
\(157\) | −2.75454 | − | 6.38575i | −0.219836 | − | 0.509638i | 0.772231 | − | 0.635341i | \(-0.219141\pi\) |
−0.992068 | + | 0.125703i | \(0.959881\pi\) | |||||||
\(158\) | −5.44624 | + | 3.58205i | −0.433280 | + | 0.284973i | ||||
\(159\) | −15.2003 | − | 6.19661i | −1.20546 | − | 0.491423i | ||||
\(160\) | −0.0483933 | − | 0.161645i | −0.00382583 | − | 0.0127791i | ||||
\(161\) | −1.51534 | −0.119426 | ||||||||
\(162\) | 3.84557 | − | 18.0158i | 0.302137 | − | 1.41545i | ||||
\(163\) | 5.19903 | 0.407219 | 0.203610 | − | 0.979052i | \(-0.434733\pi\) | ||||
0.203610 | + | 0.979052i | \(0.434733\pi\) | |||||||
\(164\) | 3.09351 | + | 10.3331i | 0.241563 | + | 0.806876i | ||||
\(165\) | −0.0294567 | − | 0.214454i | −0.00229320 | − | 0.0166952i | ||||
\(166\) | 2.87042 | − | 1.88790i | 0.222788 | − | 0.146530i | ||||
\(167\) | 3.74255 | + | 8.67620i | 0.289607 | + | 0.671384i | 0.999456 | − | 0.0329691i | \(-0.0104963\pi\) |
−0.709849 | + | 0.704353i | \(0.751237\pi\) | |||||||
\(168\) | 0.0971402 | − | 1.00657i | 0.00749453 | − | 0.0776587i | ||||
\(169\) | 0.475244 | − | 8.15962i | 0.0365572 | − | 0.627663i | ||||
\(170\) | 0.131401 | + | 0.110258i | 0.0100780 | + | 0.00845642i | ||||
\(171\) | −10.8575 | − | 4.91558i | −0.830293 | − | 0.375904i | ||||
\(172\) | 11.0471 | − | 9.26962i | 0.842333 | − | 0.706802i | ||||
\(173\) | 5.37651 | + | 7.22190i | 0.408768 | + | 0.549071i | 0.958063 | − | 0.286558i | \(-0.0925110\pi\) |
−0.549295 | + | 0.835629i | \(0.685104\pi\) | |||||||
\(174\) | 13.1210 | + | 15.0122i | 0.994704 | + | 1.13807i | ||||
\(175\) | −5.16161 | − | 5.47099i | −0.390181 | − | 0.413568i | ||||
\(176\) | −20.9634 | + | 4.96842i | −1.58018 | + | 0.374509i | ||||
\(177\) | −0.0610872 | − | 3.03164i | −0.00459160 | − | 0.227872i | ||||
\(178\) | 8.20913 | − | 19.0309i | 0.615300 | − | 1.42643i | ||||
\(179\) | 1.67669 | + | 9.50897i | 0.125321 | + | 0.710733i | 0.981116 | + | 0.193418i | \(0.0619574\pi\) |
−0.855795 | + | 0.517315i | \(0.826931\pi\) | |||||||
\(180\) | −0.101022 | + | 0.0919511i | −0.00752974 | + | 0.00685363i | ||||
\(181\) | −1.70395 | + | 9.66360i | −0.126654 | + | 0.718290i | 0.853658 | + | 0.520834i | \(0.174379\pi\) |
−0.980312 | + | 0.197456i | \(0.936732\pi\) | |||||||
\(182\) | −5.65224 | − | 3.71754i | −0.418972 | − | 0.275562i | ||||
\(183\) | −15.3761 | + | 1.20680i | −1.13663 | + | 0.0892092i | ||||
\(184\) | −0.233424 | + | 0.313543i | −0.0172083 | + | 0.0231147i | ||||
\(185\) | −0.00835138 | − | 0.143388i | −0.000614006 | − | 0.0105421i | ||||
\(186\) | −4.94195 | − | 9.36491i | −0.362361 | − | 0.686668i | ||||
\(187\) | 16.6194 | − | 17.6156i | 1.21533 | − | 1.28818i | ||||
\(188\) | 14.8029 | − | 25.6393i | 1.07961 | − | 1.86994i | ||||
\(189\) | 7.33980 | − | 2.69030i | 0.533892 | − | 0.195691i | ||||
\(190\) | 0.0845529 | + | 0.146450i | 0.00613411 | + | 0.0106246i | ||||
\(191\) | −3.43575 | − | 0.814287i | −0.248602 | − | 0.0589197i | 0.104426 | − | 0.994533i | \(-0.466700\pi\) |
−0.353027 | + | 0.935613i | \(0.614848\pi\) | |||||||
\(192\) | 12.1141 | + | 10.9763i | 0.874262 | + | 0.792148i | ||||
\(193\) | 19.3015 | + | 9.69357i | 1.38935 | + | 0.697759i | 0.976995 | − | 0.213264i | \(-0.0684094\pi\) |
0.412357 | + | 0.911022i | \(0.364706\pi\) | |||||||
\(194\) | −13.4990 | − | 1.57781i | −0.969171 | − | 0.113280i | ||||
\(195\) | 0.0197967 | + | 0.0766162i | 0.00141767 | + | 0.00548660i | ||||
\(196\) | −9.26819 | + | 4.65466i | −0.662014 | + | 0.332476i | ||||
\(197\) | 15.5802 | − | 5.67071i | 1.11004 | − | 0.404022i | 0.279032 | − | 0.960282i | \(-0.409986\pi\) |
0.831008 | + | 0.556260i | \(0.187764\pi\) | |||||||
\(198\) | 23.2116 | + | 28.6892i | 1.64958 | + | 2.03885i | ||||
\(199\) | 19.4015 | + | 7.06158i | 1.37534 | + | 0.500582i | 0.920761 | − | 0.390126i | \(-0.127569\pi\) |
0.454576 | + | 0.890708i | \(0.349791\pi\) | |||||||
\(200\) | −1.92711 | + | 0.225247i | −0.136268 | + | 0.0159274i | ||||
\(201\) | −14.8107 | + | 18.3908i | −1.04467 | + | 1.29719i | ||||
\(202\) | −1.64325 | + | 5.48883i | −0.115619 | + | 0.386193i | ||||
\(203\) | −2.42659 | + | 8.10537i | −0.170313 | + | 0.568886i | ||||
\(204\) | −15.1012 | − | 2.35011i | −1.05729 | − | 0.164540i | ||||
\(205\) | 0.101750 | − | 0.0118928i | 0.00710650 | − | 0.000830630i | ||||
\(206\) | 8.70238 | + | 3.16741i | 0.606324 | + | 0.220684i | ||||
\(207\) | −2.96597 | − | 0.577849i | −0.206149 | − | 0.0401633i | ||||
\(208\) | 7.40076 | − | 2.69365i | 0.513150 | − | 0.186771i | ||||
\(209\) | 21.3360 | − | 10.7153i | 1.47584 | − | 0.741195i | ||||
\(210\) | −0.106877 | − | 0.0296643i | −0.00737519 | − | 0.00204703i | ||||
\(211\) | −2.15943 | − | 0.252402i | −0.148662 | − | 0.0173760i | 0.0414366 | − | 0.999141i | \(-0.486807\pi\) |
−0.190098 | + | 0.981765i | \(0.560881\pi\) | |||||||
\(212\) | −18.5438 | − | 9.31305i | −1.27359 | − | 0.639623i | ||||
\(213\) | 1.66321 | − | 7.70635i | 0.113962 | − | 0.528031i | ||||
\(214\) | 8.19096 | + | 1.94129i | 0.559922 | + | 0.132704i | ||||
\(215\) | −0.0684818 | − | 0.118614i | −0.00467042 | − | 0.00808941i | ||||
\(216\) | 0.573971 | − | 1.93311i | 0.0390538 | − | 0.131532i | ||||
\(217\) | 2.24672 | − | 3.89143i | 0.152517 | − | 0.264168i | ||||
\(218\) | −13.5127 | + | 14.3226i | −0.915193 | + | 0.970047i | ||||
\(219\) | 16.4984 | + | 0.627744i | 1.11486 | + | 0.0424190i | ||||
\(220\) | −0.0159114 | − | 0.273188i | −0.00107275 | − | 0.0184183i | ||||
\(221\) | −5.28677 | + | 7.10136i | −0.355627 | + | 0.477689i | ||||
\(222\) | 13.8647 | + | 20.1826i | 0.930538 | + | 1.35457i | ||||
\(223\) | −18.8624 | − | 12.4060i | −1.26312 | − | 0.830766i | −0.271813 | − | 0.962350i | \(-0.587623\pi\) |
−0.991305 | + | 0.131584i | \(0.957994\pi\) | |||||||
\(224\) | −2.11969 | + | 12.0213i | −0.141627 | + | 0.803209i | ||||
\(225\) | −8.01652 | − | 12.6766i | −0.534434 | − | 0.845108i | ||||
\(226\) | 0.657816 | + | 3.73066i | 0.0437573 | + | 0.248160i | ||||
\(227\) | −7.30925 | + | 16.9447i | −0.485132 | + | 1.12466i | 0.483316 | + | 0.875446i | \(0.339432\pi\) |
−0.968448 | + | 0.249216i | \(0.919827\pi\) | |||||||
\(228\) | −13.1974 | − | 7.26901i | −0.874017 | − | 0.481402i | ||||
\(229\) | −10.9915 | + | 2.60504i | −0.726340 | + | 0.172146i | −0.577121 | − | 0.816658i | \(-0.695824\pi\) |
−0.149219 | + | 0.988804i | \(0.547676\pi\) | |||||||
\(230\) | 0.0294221 | + | 0.0311856i | 0.00194003 | + | 0.00205632i | ||||
\(231\) | −5.05851 | + | 14.8206i | −0.332826 | + | 0.975122i | ||||
\(232\) | 1.30331 | + | 1.75065i | 0.0855665 | + | 0.114936i | ||||
\(233\) | 12.6194 | − | 10.5889i | 0.826724 | − | 0.693703i | −0.127813 | − | 0.991798i | \(-0.540796\pi\) |
0.954536 | + | 0.298095i | \(0.0963512\pi\) | |||||||
\(234\) | −9.64547 | − | 9.43169i | −0.630544 | − | 0.616569i | ||||
\(235\) | −0.215398 | − | 0.180740i | −0.0140510 | − | 0.0117902i | ||||
\(236\) | 0.222885 | − | 3.82678i | 0.0145086 | − | 0.249102i | ||||
\(237\) | −4.49005 | − | 3.20418i | −0.291660 | − | 0.208134i | ||||
\(238\) | −4.91503 | − | 11.3943i | −0.318594 | − | 0.738585i | ||||
\(239\) | 9.15402 | − | 6.02070i | 0.592125 | − | 0.389446i | −0.217789 | − | 0.975996i | \(-0.569884\pi\) |
0.809913 | + | 0.586549i | \(0.199514\pi\) | |||||||
\(240\) | 0.101999 | − | 0.0791786i | 0.00658402 | − | 0.00511096i | ||||
\(241\) | 5.72108 | + | 19.1097i | 0.368527 | + | 1.23097i | 0.918378 | + | 0.395704i | \(0.129499\pi\) |
−0.549851 | + | 0.835263i | \(0.685316\pi\) | |||||||
\(242\) | −51.4113 | −3.30484 | ||||||||
\(243\) | 15.3920 | − | 2.46680i | 0.987400 | − | 0.158246i | ||||
\(244\) | −19.4977 | −1.24821 | ||||||||
\(245\) | 0.0282508 | + | 0.0943643i | 0.00180488 | + | 0.00602872i | ||||
\(246\) | −13.7955 | + | 10.7090i | −0.879572 | + | 0.682783i | ||||
\(247\) | −7.29214 | + | 4.79612i | −0.463988 | + | 0.305170i | ||||
\(248\) | −0.459100 | − | 1.06431i | −0.0291529 | − | 0.0675840i | ||||
\(249\) | 2.36646 | + | 1.68875i | 0.149968 | + | 0.107020i | ||||
\(250\) | −0.0247488 | + | 0.424920i | −0.00156525 | + | 0.0268743i | ||||
\(251\) | −15.8375 | − | 13.2893i | −0.999656 | − | 0.838811i | −0.0127196 | − | 0.999919i | \(-0.504049\pi\) |
−0.986937 | + | 0.161108i | \(0.948493\pi\) | |||||||
\(252\) | 9.51638 | − | 2.66455i | 0.599476 | − | 0.167851i | ||||
\(253\) | 4.63709 | − | 3.89098i | 0.291532 | − | 0.244624i | ||||
\(254\) | −23.2603 | − | 31.2440i | −1.45948 | − | 1.96043i | ||||
\(255\) | −0.0468865 | + | 0.137369i | −0.00293614 | + | 0.00860239i | ||||
\(256\) | −8.61231 | − | 9.12852i | −0.538270 | − | 0.570533i | ||||
\(257\) | 11.4743 | − | 2.71945i | 0.715744 | − | 0.169635i | 0.143420 | − | 0.989662i | \(-0.454190\pi\) |
0.572324 | + | 0.820027i | \(0.306042\pi\) | |||||||
\(258\) | 20.4523 | + | 11.2650i | 1.27330 | + | 0.701327i | ||||
\(259\) | −4.11557 | + | 9.54096i | −0.255729 | + | 0.592847i | ||||
\(260\) | 0.0173712 | + | 0.0985168i | 0.00107731 | + | 0.00610975i | ||||
\(261\) | −7.84039 | + | 14.9393i | −0.485308 | + | 0.924716i | ||||
\(262\) | 0.282737 | − | 1.60348i | 0.0174676 | − | 0.0990634i | ||||
\(263\) | −1.63557 | − | 1.07573i | −0.100854 | − | 0.0663326i | 0.498080 | − | 0.867131i | \(-0.334038\pi\) |
−0.598934 | + | 0.800798i | \(0.704409\pi\) | |||||||
\(264\) | 2.28734 | + | 3.32964i | 0.140776 | + | 0.204925i | ||||
\(265\) | −0.117690 | + | 0.158085i | −0.00722965 | + | 0.00971111i | ||||
\(266\) | −0.711327 | − | 12.2130i | −0.0436143 | − | 0.748828i | ||||
\(267\) | 17.5257 | + | 0.666831i | 1.07255 | + | 0.0408094i | ||||
\(268\) | −20.4849 | + | 21.7128i | −1.25132 | + | 1.32632i | ||||
\(269\) | −10.6534 | + | 18.4522i | −0.649547 | + | 1.12505i | 0.333684 | + | 0.942685i | \(0.391708\pi\) |
−0.983231 | + | 0.182364i | \(0.941625\pi\) | |||||||
\(270\) | −0.197877 | − | 0.0988172i | −0.0120424 | − | 0.00601382i | ||||
\(271\) | −6.85691 | − | 11.8765i | −0.416528 | − | 0.721447i | 0.579060 | − | 0.815285i | \(-0.303420\pi\) |
−0.995587 | + | 0.0938378i | \(0.970086\pi\) | |||||||
\(272\) | 14.0568 | + | 3.33152i | 0.852319 | + | 0.202003i | ||||
\(273\) | 1.20772 | − | 5.59588i | 0.0730948 | − | 0.338678i | ||||
\(274\) | 7.73340 | + | 3.88386i | 0.467192 | + | 0.234633i | ||||
\(275\) | 29.8431 | + | 3.48815i | 1.79960 | + | 0.210344i | ||||
\(276\) | −3.68082 | − | 1.02163i | −0.221559 | − | 0.0614951i | ||||
\(277\) | 4.28071 | − | 2.14985i | 0.257203 | − | 0.129172i | −0.315526 | − | 0.948917i | \(-0.602181\pi\) |
0.572729 | + | 0.819745i | \(0.305885\pi\) | |||||||
\(278\) | 10.5296 | − | 3.83245i | 0.631522 | − | 0.229855i | ||||
\(279\) | 5.88142 | − | 6.75992i | 0.352111 | − | 0.404706i | ||||
\(280\) | −0.0114093 | − | 0.00415264i | −0.000681835 | − | 0.000248168i | ||||
\(281\) | 13.8337 | − | 1.61692i | 0.825247 | − | 0.0964576i | 0.307023 | − | 0.951702i | \(-0.400667\pi\) |
0.518225 | + | 0.855245i | \(0.326593\pi\) | |||||||
\(282\) | 47.3654 | + | 7.37121i | 2.82057 | + | 0.438949i | ||||
\(283\) | −0.860245 | + | 2.87342i | −0.0511363 | + | 0.170807i | −0.979743 | − | 0.200258i | \(-0.935822\pi\) |
0.928607 | + | 0.371065i | \(0.121007\pi\) | |||||||
\(284\) | 2.85840 | − | 9.54772i | 0.169615 | − | 0.566553i | ||||
\(285\) | −0.0897544 | + | 0.111450i | −0.00531659 | + | 0.00660173i | ||||
\(286\) | 26.8420 | − | 3.13739i | 1.58720 | − | 0.185517i | ||||
\(287\) | −6.96410 | − | 2.53472i | −0.411078 | − | 0.149620i | ||||
\(288\) | −8.73297 | + | 22.7210i | −0.514595 | + | 1.33885i | ||||
\(289\) | 0.714943 | − | 0.260218i | 0.0420555 | − | 0.0153069i | ||||
\(290\) | 0.213923 | − | 0.107436i | 0.0125620 | − | 0.00630887i | ||||
\(291\) | −2.87714 | − | 11.1349i | −0.168661 | − | 0.652742i | ||||
\(292\) | 20.7306 | + | 2.42307i | 1.21317 | + | 0.141799i | ||||
\(293\) | −21.5690 | − | 10.8324i | −1.26007 | − | 0.632833i | −0.311759 | − | 0.950161i | \(-0.600918\pi\) |
−0.948316 | + | 0.317328i | \(0.897214\pi\) | |||||||
\(294\) | −12.4442 | − | 11.2754i | −0.725759 | − | 0.657594i | ||||
\(295\) | −0.0354253 | − | 0.00839595i | −0.00206254 | − | 0.000488831i | ||||
\(296\) | 1.34018 | + | 2.32126i | 0.0778964 | + | 0.134920i | ||||
\(297\) | −15.5526 | + | 27.0792i | −0.902451 | + | 1.57130i | ||||
\(298\) | 7.95849 | − | 13.7845i | 0.461023 | − | 0.798515i | ||||
\(299\) | −1.51855 | + | 1.60957i | −0.0878203 | + | 0.0930840i | ||||
\(300\) | −8.84923 | − | 16.7692i | −0.510911 | − | 0.968168i | ||||
\(301\) | 0.576125 | + | 9.89168i | 0.0332073 | + | 0.570147i | ||||
\(302\) | 16.1861 | − | 21.7417i | 0.931406 | − | 1.25110i | ||||
\(303\) | −4.83348 | + | 0.379358i | −0.277676 | + | 0.0217935i | ||||
\(304\) | 11.8989 | + | 7.82606i | 0.682451 | + | 0.448855i | ||||
\(305\) | −0.0321562 | + | 0.182367i | −0.00184126 | + | 0.0104423i | ||||
\(306\) | −5.27513 | − | 24.1763i | −0.301559 | − | 1.38207i | ||||
\(307\) | 3.34825 | + | 18.9889i | 0.191095 | + | 1.08375i | 0.917871 | + | 0.396879i | \(0.129907\pi\) |
−0.726776 | + | 0.686874i | \(0.758982\pi\) | |||||||
\(308\) | −7.84116 | + | 18.1778i | −0.446791 | + | 1.03578i | ||||
\(309\) | 0.157874 | + | 7.83499i | 0.00898116 | + | 0.445717i | ||||
\(310\) | −0.123708 | + | 0.0293193i | −0.00702614 | + | 0.00166523i | ||||
\(311\) | 7.85065 | + | 8.32121i | 0.445170 | + | 0.471852i | 0.910634 | − | 0.413215i | \(-0.135594\pi\) |
−0.465464 | + | 0.885067i | \(0.654113\pi\) | |||||||
\(312\) | −0.971820 | − | 1.11189i | −0.0550185 | − | 0.0629482i | ||||
\(313\) | 3.36282 | + | 4.51705i | 0.190078 | + | 0.255319i | 0.886938 | − | 0.461888i | \(-0.152828\pi\) |
−0.696861 | + | 0.717207i | \(0.745420\pi\) | |||||||
\(314\) | 10.9045 | − | 9.14999i | 0.615378 | − | 0.516364i | ||||
\(315\) | −0.00922748 | − | 0.0934036i | −0.000519910 | − | 0.00526269i | ||||
\(316\) | −5.34182 | − | 4.48232i | −0.300501 | − | 0.252150i | ||||
\(317\) | −0.352180 | + | 6.04669i | −0.0197804 | + | 0.339616i | 0.973870 | + | 0.227106i | \(0.0729262\pi\) |
−0.993651 | + | 0.112511i | \(0.964111\pi\) | |||||||
\(318\) | 3.22748 | − | 33.4433i | 0.180988 | − | 1.87541i | ||||
\(319\) | −13.3868 | − | 31.0341i | −0.749517 | − | 1.73757i | ||||
\(320\) | 0.163983 | − | 0.107853i | 0.00916694 | − | 0.00602919i | ||||
\(321\) | 0.969320 | + | 7.05696i | 0.0541022 | + | 0.393881i | ||||
\(322\) | −0.889571 | − | 2.97137i | −0.0495738 | − | 0.165588i | ||||
\(323\) | −16.0095 | −0.890794 | ||||||||
\(324\) | 19.6424 | − | 1.58639i | 1.09125 | − | 0.0881330i | ||||
\(325\) | −10.9838 | −0.609269 | ||||||||
\(326\) | 3.05206 | + | 10.1946i | 0.169038 | + | 0.564626i | ||||
\(327\) | −15.4296 | − | 6.29008i | −0.853256 | − | 0.347842i | ||||
\(328\) | −1.59722 | + | 1.05051i | −0.0881918 | + | 0.0580046i | ||||
\(329\) | 8.05693 | + | 18.6781i | 0.444193 | + | 1.02975i | ||||
\(330\) | 0.403223 | − | 0.183655i | 0.0221967 | − | 0.0101099i | ||||
\(331\) | −0.594022 | + | 10.1990i | −0.0326504 | + | 0.560586i | 0.941827 | + | 0.336099i | \(0.109108\pi\) |
−0.974477 | + | 0.224487i | \(0.927929\pi\) | |||||||
\(332\) | 2.81538 | + | 2.36238i | 0.154514 | + | 0.129653i | ||||
\(333\) | −11.6937 | + | 17.1051i | −0.640809 | + | 0.937352i | ||||
\(334\) | −14.8158 | + | 12.4319i | −0.810684 | + | 0.680244i | ||||
\(335\) | 0.169301 | + | 0.227410i | 0.00924988 | + | 0.0124247i | ||||
\(336\) | −9.16485 | + | 1.80710i | −0.499984 | + | 0.0985855i | ||||
\(337\) | 6.25087 | + | 6.62553i | 0.340506 | + | 0.360916i | 0.874886 | − | 0.484329i | \(-0.160936\pi\) |
−0.534380 | + | 0.845245i | \(0.679455\pi\) | |||||||
\(338\) | 16.2789 | − | 3.85816i | 0.885454 | − | 0.209856i | ||||
\(339\) | −2.74327 | + | 1.65840i | −0.148994 | + | 0.0900719i | ||||
\(340\) | −0.0726783 | + | 0.168487i | −0.00394153 | + | 0.00913750i | ||||
\(341\) | 3.11696 | + | 17.6771i | 0.168793 | + | 0.957271i | ||||
\(342\) | 3.26495 | − | 24.1757i | 0.176548 | − | 1.30727i | ||||
\(343\) | 3.06613 | − | 17.3889i | 0.165555 | − | 0.938911i | ||||
\(344\) | 2.13546 | + | 1.40451i | 0.115136 | + | 0.0757263i | ||||
\(345\) | −0.0156261 | + | 0.0327427i | −0.000841281 | + | 0.00176281i | ||||
\(346\) | −11.0049 | + | 14.7822i | −0.591628 | + | 0.794694i | ||||
\(347\) | −0.167828 | − | 2.88149i | −0.00900946 | − | 0.154686i | −0.999812 | − | 0.0193731i | \(-0.993833\pi\) |
0.990803 | − | 0.135313i | \(-0.0432041\pi\) | |||||||
\(348\) | −11.3589 | + | 18.0523i | −0.608899 | + | 0.967703i | ||||
\(349\) | 18.8015 | − | 19.9284i | 1.00642 | − | 1.06674i | 0.00865259 | − | 0.999963i | \(-0.497246\pi\) |
0.997768 | − | 0.0667806i | \(-0.0212728\pi\) | |||||||
\(350\) | 7.69776 | − | 13.3329i | 0.411463 | − | 0.712674i | ||||
\(351\) | 4.49776 | − | 10.4922i | 0.240073 | − | 0.560034i | ||||
\(352\) | −24.3811 | − | 42.2293i | −1.29952 | − | 2.25083i | ||||
\(353\) | 2.70304 | + | 0.640631i | 0.143868 | + | 0.0340974i | 0.301919 | − | 0.953334i | \(-0.402373\pi\) |
−0.158051 | + | 0.987431i | \(0.550521\pi\) | |||||||
\(354\) | 5.90876 | − | 1.89949i | 0.314047 | − | 0.100957i | ||||
\(355\) | −0.0845881 | − | 0.0424817i | −0.00448947 | − | 0.00225470i | ||||
\(356\) | 22.0215 | + | 2.57394i | 1.16714 | + | 0.136419i | ||||
\(357\) | 7.49121 | − | 7.35843i | 0.396477 | − | 0.389449i | ||||
\(358\) | −17.6615 | + | 8.86993i | −0.933438 | + | 0.468790i | ||||
\(359\) | −17.4937 | + | 6.36718i | −0.923281 | + | 0.336047i | −0.759543 | − | 0.650457i | \(-0.774577\pi\) |
−0.163738 | + | 0.986504i | \(0.552355\pi\) | |||||||
\(360\) | −0.0207478 | − | 0.0124787i | −0.00109350 | − | 0.000657684i | ||||
\(361\) | 3.02287 | + | 1.10024i | 0.159099 | + | 0.0579071i | ||||
\(362\) | −19.9493 | + | 2.33174i | −1.04851 | + | 0.122553i | ||||
\(363\) | −15.6999 | − | 40.5727i | −0.824032 | − | 2.12951i | ||||
\(364\) | 2.07560 | − | 6.93297i | 0.108791 | − | 0.363387i | ||||
\(365\) | 0.0568531 | − | 0.189903i | 0.00297583 | − | 0.00993996i | ||||
\(366\) | −11.3928 | − | 29.4420i | −0.595511 | − | 1.53896i | ||||
\(367\) | 4.10848 | − | 0.480212i | 0.214461 | − | 0.0250669i | −0.00818400 | − | 0.999967i | \(-0.502605\pi\) |
0.222645 | + | 0.974900i | \(0.428531\pi\) | |||||||
\(368\) | 3.39306 | + | 1.23497i | 0.176876 | + | 0.0643775i | ||||
\(369\) | −12.6642 | − | 7.61684i | −0.659272 | − | 0.396517i | ||||
\(370\) | 0.276261 | − | 0.100551i | 0.0143621 | − | 0.00522738i | ||||
\(371\) | 12.7412 | − | 6.39886i | 0.661489 | − | 0.332212i | ||||
\(372\) | 8.08094 | − | 7.93771i | 0.418977 | − | 0.411551i | ||||
\(373\) | 3.87344 | + | 0.452740i | 0.200559 | + | 0.0234420i | 0.215779 | − | 0.976442i | \(-0.430771\pi\) |
−0.0152202 | + | 0.999884i | \(0.504845\pi\) | |||||||
\(374\) | 44.2980 | + | 22.2473i | 2.29060 | + | 1.15038i | ||||
\(375\) | −0.342896 | + | 0.110231i | −0.0177071 | + | 0.00569228i | ||||
\(376\) | 5.10582 | + | 1.21010i | 0.263313 | + | 0.0624062i | ||||
\(377\) | 6.17768 | + | 10.7001i | 0.318167 | + | 0.551081i | ||||
\(378\) | 9.58409 | + | 12.8130i | 0.492952 | + | 0.659030i | ||||
\(379\) | −15.6974 | + | 27.1887i | −0.806321 | + | 1.39659i | 0.109074 | + | 0.994034i | \(0.465211\pi\) |
−0.915395 | + | 0.402556i | \(0.868122\pi\) | |||||||
\(380\) | −0.124141 | + | 0.131581i | −0.00636828 | + | 0.00674998i | ||||
\(381\) | 17.5539 | − | 27.8978i | 0.899314 | − | 1.42925i | ||||
\(382\) | −0.420229 | − | 7.21505i | −0.0215008 | − | 0.369154i | ||||
\(383\) | −13.5437 | + | 18.1923i | −0.692050 | + | 0.929585i | −0.999760 | − | 0.0218955i | \(-0.993030\pi\) |
0.307710 | + | 0.951480i | \(0.400437\pi\) | |||||||
\(384\) | −2.30566 | + | 4.83125i | −0.117660 | + | 0.246544i | ||||
\(385\) | 0.157090 | + | 0.103320i | 0.00800605 | + | 0.00526566i | ||||
\(386\) | −7.67694 | + | 43.5381i | −0.390746 | + | 2.21603i | ||||
\(387\) | −2.64438 | + | 19.5806i | −0.134421 | + | 0.995338i | ||||
\(388\) | −2.52462 | − | 14.3178i | −0.128168 | − | 0.726879i | ||||
\(389\) | 6.33140 | − | 14.6778i | 0.321015 | − | 0.744195i | −0.678935 | − | 0.734198i | \(-0.737558\pi\) |
0.999950 | − | 0.00999750i | \(-0.00318236\pi\) | |||||||
\(390\) | −0.138612 | + | 0.0837957i | −0.00701890 | + | 0.00424316i | ||||
\(391\) | −3.94957 | + | 0.936065i | −0.199738 | + | 0.0473388i | ||||
\(392\) | −1.26145 | − | 1.33706i | −0.0637128 | − | 0.0675317i | ||||
\(393\) | 1.35177 | − | 0.266540i | 0.0681880 | − | 0.0134451i | ||||
\(394\) | 20.2657 | + | 27.2216i | 1.02097 | + | 1.37140i | ||||
\(395\) | −0.0507341 | + | 0.0425710i | −0.00255271 | + | 0.00214198i | ||||
\(396\) | −22.2792 | + | 32.5893i | −1.11957 | + | 1.63767i | ||||
\(397\) | −19.5239 | − | 16.3825i | −0.979876 | − | 0.822214i | 0.00419466 | − | 0.999991i | \(-0.498665\pi\) |
−0.984071 | + | 0.177778i | \(0.943109\pi\) | |||||||
\(398\) | −2.45724 | + | 42.1892i | −0.123170 | + | 2.11475i | ||||
\(399\) | 9.42103 | − | 4.29096i | 0.471641 | − | 0.214817i | ||||
\(400\) | 7.09883 | + | 16.4569i | 0.354941 | + | 0.822847i | ||||
\(401\) | −8.21664 | + | 5.40417i | −0.410320 | + | 0.269871i | −0.737844 | − | 0.674971i | \(-0.764156\pi\) |
0.327524 | + | 0.944843i | \(0.393786\pi\) | |||||||
\(402\) | −44.7564 | − | 18.2456i | −2.23225 | − | 0.910008i | ||||
\(403\) | −1.88194 | − | 6.28612i | −0.0937461 | − | 0.313134i | ||||
\(404\) | −6.12911 | −0.304935 | ||||||||
\(405\) | 0.0175570 | − | 0.186337i | 0.000872412 | − | 0.00925915i | ||||
\(406\) | −17.3180 | −0.859479 | ||||||||
\(407\) | −11.9046 | − | 39.7640i | −0.590087 | − | 1.97103i | ||||
\(408\) | −0.368600 | − | 2.68352i | −0.0182484 | − | 0.132854i | ||||
\(409\) | −20.4267 | + | 13.4348i | −1.01004 | + | 0.664311i | −0.942777 | − | 0.333425i | \(-0.891796\pi\) |
−0.0672585 | + | 0.997736i | \(0.521425\pi\) | |||||||
\(410\) | 0.0830516 | + | 0.192535i | 0.00410163 | + | 0.00950864i | ||||
\(411\) | −0.703441 | + | 7.28909i | −0.0346982 | + | 0.359544i | ||||
\(412\) | −0.576025 | + | 9.88997i | −0.0283787 | + | 0.487244i | ||||
\(413\) | 2.01760 | + | 1.69296i | 0.0992795 | + | 0.0833054i | ||||
\(414\) | −0.608069 | − | 6.15507i | −0.0298850 | − | 0.302505i | ||||
\(415\) | 0.0267392 | − | 0.0224368i | 0.00131257 | − | 0.00110138i | ||||
\(416\) | 10.6447 | + | 14.2983i | 0.521900 | + | 0.701033i | ||||
\(417\) | 6.24000 | + | 7.13936i | 0.305574 | + | 0.349616i | ||||
\(418\) | 33.5365 | + | 35.5466i | 1.64032 | + | 1.73864i | ||||
\(419\) | −4.23901 | + | 1.00466i | −0.207089 | + | 0.0490810i | −0.332851 | − | 0.942979i | \(-0.608011\pi\) |
0.125762 | + | 0.992060i | \(0.459862\pi\) | |||||||
\(420\) | −0.00239035 | − | 0.118628i | −0.000116637 | − | 0.00578847i | ||||
\(421\) | 0.501821 | − | 1.16335i | 0.0244573 | − | 0.0566983i | −0.905550 | − | 0.424240i | \(-0.860541\pi\) |
0.930007 | + | 0.367542i | \(0.119801\pi\) | |||||||
\(422\) | −0.772757 | − | 4.38252i | −0.0376172 | − | 0.213338i | ||||
\(423\) | 8.64721 | + | 39.6308i | 0.420442 | + | 1.92692i | ||||
\(424\) | 0.638656 | − | 3.62200i | 0.0310159 | − | 0.175900i | ||||
\(425\) | −16.8327 | − | 11.0711i | −0.816507 | − | 0.537025i | ||||
\(426\) | 16.0875 | − | 1.26263i | 0.779441 | − | 0.0611747i | ||||
\(427\) | 7.99990 | − | 10.7457i | 0.387142 | − | 0.520022i | ||||
\(428\) | 0.523590 | + | 8.98969i | 0.0253087 | + | 0.434533i | ||||
\(429\) | 10.6730 | + | 20.2251i | 0.515295 | + | 0.976476i | ||||
\(430\) | 0.192384 | − | 0.203915i | 0.00927757 | − | 0.00983365i | ||||
\(431\) | 17.8588 | − | 30.9323i | 0.860227 | − | 1.48996i | −0.0114820 | − | 0.999934i | \(-0.503655\pi\) |
0.871709 | − | 0.490023i | \(-0.163012\pi\) | |||||||
\(432\) | −18.6274 | + | 0.0421706i | −0.896211 | + | 0.00202894i | ||||
\(433\) | 16.1789 | + | 28.0227i | 0.777509 | + | 1.34668i | 0.933374 | + | 0.358906i | \(0.116850\pi\) |
−0.155865 | + | 0.987778i | \(0.549816\pi\) | |||||||
\(434\) | 8.94948 | + | 2.12107i | 0.429589 | + | 0.101814i | ||||
\(435\) | 0.150114 | + | 0.136015i | 0.00719741 | + | 0.00652140i | ||||
\(436\) | −18.8235 | − | 9.45353i | −0.901483 | − | 0.452742i | ||||
\(437\) | −3.97452 | − | 0.464555i | −0.190127 | − | 0.0222227i | ||||
\(438\) | 8.45435 | + | 32.7196i | 0.403964 | + | 1.56340i | ||||
\(439\) | 7.93828 | − | 3.98676i | 0.378874 | − | 0.190277i | −0.249163 | − | 0.968462i | \(-0.580155\pi\) |
0.628036 | + | 0.778184i | \(0.283859\pi\) | |||||||
\(440\) | 0.0455764 | − | 0.0165885i | 0.00217277 | − | 0.000790824i | ||||
\(441\) | 5.09810 | − | 13.2639i | 0.242767 | − | 0.631617i | ||||
\(442\) | −17.0284 | − | 6.19781i | −0.809956 | − | 0.294800i | ||||
\(443\) | −13.3588 | + | 1.56142i | −0.634695 | + | 0.0741852i | −0.427355 | − | 0.904084i | \(-0.640555\pi\) |
−0.207340 | + | 0.978269i | \(0.566481\pi\) | |||||||
\(444\) | −16.4293 | + | 20.4007i | −0.779702 | + | 0.968172i | ||||
\(445\) | 0.0603932 | − | 0.201727i | 0.00286291 | − | 0.00956279i | ||||
\(446\) | 13.2534 | − | 44.2694i | 0.627565 | − | 2.09621i | ||||
\(447\) | 13.3088 | + | 2.07117i | 0.629484 | + | 0.0979630i | ||||
\(448\) | −14.1030 | + | 1.64841i | −0.666306 | + | 0.0778800i | ||||
\(449\) | −16.7390 | − | 6.09251i | −0.789964 | − | 0.287524i | −0.0846431 | − | 0.996411i | \(-0.526975\pi\) |
−0.705321 | + | 0.708888i | \(0.749197\pi\) | |||||||
\(450\) | 20.1510 | − | 23.1610i | 0.949929 | − | 1.09182i | ||||
\(451\) | 27.8193 | − | 10.1254i | 1.30996 | − | 0.476787i | ||||
\(452\) | −3.62136 | + | 1.81871i | −0.170334 | + | 0.0855451i | ||||
\(453\) | 22.1010 | + | 6.13427i | 1.03840 | + | 0.288213i | ||||
\(454\) | −37.5171 | − | 4.38512i | −1.76077 | − | 0.205804i | ||||
\(455\) | −0.0614227 | − | 0.0308476i | −0.00287954 | − | 0.00144616i | ||||
\(456\) | 0.563367 | − | 2.61031i | 0.0263821 | − | 0.122239i | ||||
\(457\) | 1.21419 | + | 0.287769i | 0.0567976 | + | 0.0134613i | 0.258916 | − | 0.965900i | \(-0.416635\pi\) |
−0.202119 | + | 0.979361i | \(0.564783\pi\) | |||||||
\(458\) | −11.5606 | − | 20.0236i | −0.540192 | − | 0.935640i | ||||
\(459\) | 17.4685 | − | 11.5460i | 0.815360 | − | 0.538919i | ||||
\(460\) | −0.0229321 | + | 0.0397196i | −0.00106922 | + | 0.00185194i | ||||
\(461\) | 12.9468 | − | 13.7228i | 0.602993 | − | 0.639135i | −0.351917 | − | 0.936031i | \(-0.614470\pi\) |
0.954910 | + | 0.296896i | \(0.0959515\pi\) | |||||||
\(462\) | −32.0306 | − | 1.21873i | −1.49020 | − | 0.0567003i | ||||
\(463\) | 0.691589 | + | 11.8741i | 0.0321409 | + | 0.551838i | 0.975491 | + | 0.220039i | \(0.0706184\pi\) |
−0.943350 | + | 0.331799i | \(0.892345\pi\) | |||||||
\(464\) | 12.0392 | − | 16.1715i | 0.558906 | − | 0.750741i | ||||
\(465\) | −0.0609160 | − | 0.0886742i | −0.00282491 | − | 0.00411217i | ||||
\(466\) | 28.1715 | + | 18.5287i | 1.30502 | + | 0.858326i | ||||
\(467\) | 1.20388 | − | 6.82753i | 0.0557088 | − | 0.315940i | −0.944201 | − | 0.329370i | \(-0.893164\pi\) |
0.999910 | + | 0.0134295i | \(0.00427487\pi\) | |||||||
\(468\) | 6.70632 | − | 12.7784i | 0.310000 | − | 0.590680i | ||||
\(469\) | −3.56155 | − | 20.1986i | −0.164457 | − | 0.932683i | ||||
\(470\) | 0.227958 | − | 0.528467i | 0.0105149 | − | 0.0243764i | ||||
\(471\) | 10.5510 | + | 5.81141i | 0.486164 | + | 0.267776i | ||||
\(472\) | 0.661088 | − | 0.156681i | 0.0304290 | − | 0.00721181i | ||||
\(473\) | −27.1621 | − | 28.7902i | −1.24892 | − | 1.32377i | ||||
\(474\) | 3.64709 | − | 10.6854i | 0.167517 | − | 0.490794i | ||||
\(475\) | −11.8609 | − | 15.9320i | −0.544217 | − | 0.731010i | ||||
\(476\) | 10.1689 | − | 8.53276i | 0.466093 | − | 0.391098i | ||||
\(477\) | 27.3783 | − | 7.66582i | 1.25357 | − | 0.350994i | ||||
\(478\) | 17.1796 | + | 14.4154i | 0.785775 | + | 0.659343i | ||||
\(479\) | −2.11898 | + | 36.3814i | −0.0968185 | + | 1.66231i | 0.504584 | + | 0.863363i | \(0.331646\pi\) |
−0.601402 | + | 0.798946i | \(0.705391\pi\) | |||||||
\(480\) | 0.237893 | + | 0.169764i | 0.0108583 | + | 0.00774865i | ||||
\(481\) | 6.00998 | + | 13.9327i | 0.274031 | + | 0.635276i | ||||
\(482\) | −34.1130 | + | 22.4365i | −1.55381 | + | 1.02195i | ||||
\(483\) | 2.07329 | − | 1.60943i | 0.0943379 | − | 0.0732314i | ||||
\(484\) | −15.7732 | − | 52.6863i | −0.716965 | − | 2.39483i | ||||
\(485\) | −0.138082 | −0.00626998 | ||||||||
\(486\) | 13.8729 | + | 28.7335i | 0.629286 | + | 1.30338i | ||||
\(487\) | 35.1072 | 1.59086 | 0.795429 | − | 0.606046i | \(-0.207245\pi\) | ||||
0.795429 | + | 0.606046i | \(0.207245\pi\) | |||||||
\(488\) | −0.991116 | − | 3.31056i | −0.0448657 | − | 0.149862i | ||||
\(489\) | −7.11331 | + | 5.52183i | −0.321675 | + | 0.249706i | ||||
\(490\) | −0.168451 | + | 0.110792i | −0.00760984 | + | 0.00500507i | ||||
\(491\) | −9.92481 | − | 23.0083i | −0.447900 | − | 1.03835i | −0.981300 | − | 0.192486i | \(-0.938345\pi\) |
0.533400 | − | 0.845863i | \(-0.320914\pi\) | |||||||
\(492\) | −15.2072 | − | 10.8521i | −0.685592 | − | 0.489250i | ||||
\(493\) | −1.31774 | + | 22.6247i | −0.0593480 | + | 1.01897i | ||||
\(494\) | −13.6853 | − | 11.4834i | −0.615732 | − | 0.516661i | ||||
\(495\) | 0.268072 | + | 0.262131i | 0.0120489 | + | 0.0117819i | ||||
\(496\) | −8.20217 | + | 6.88244i | −0.368288 | + | 0.309031i | ||||
\(497\) | 4.08921 | + | 5.49277i | 0.183426 | + | 0.246384i | ||||
\(498\) | −1.92218 | + | 5.63166i | −0.0861351 | + | 0.252361i | ||||
\(499\) | 14.5510 | + | 15.4232i | 0.651393 | + | 0.690436i | 0.965928 | − | 0.258810i | \(-0.0833302\pi\) |
−0.314535 | + | 0.949246i | \(0.601849\pi\) | |||||||
\(500\) | −0.443051 | + | 0.105005i | −0.0198139 | + | 0.00469597i | ||||
\(501\) | −14.3354 | − | 7.89585i | −0.640460 | − | 0.352761i | ||||
\(502\) | 16.7611 | − | 38.8566i | 0.748084 | − | 1.73425i | ||||
\(503\) | −4.86905 | − | 27.6138i | −0.217100 | − | 1.23124i | −0.877225 | − | 0.480080i | \(-0.840608\pi\) |
0.660124 | − | 0.751156i | \(-0.270504\pi\) | |||||||
\(504\) | 0.936160 | + | 1.48036i | 0.0416999 | + | 0.0659406i | ||||
\(505\) | −0.0101083 | + | 0.0573271i | −0.000449814 | + | 0.00255102i | ||||
\(506\) | 10.3519 | + | 6.80852i | 0.460196 | + | 0.302676i | ||||
\(507\) | 8.01600 | + | 11.6687i | 0.356003 | + | 0.518227i | ||||
\(508\) | 24.8825 | − | 33.4230i | 1.10398 | − | 1.48291i | ||||
\(509\) | 1.26445 | + | 21.7097i | 0.0560456 | + | 0.962265i | 0.902740 | + | 0.430186i | \(0.141552\pi\) |
−0.846695 | + | 0.532079i | \(0.821411\pi\) | |||||||
\(510\) | −0.296886 | − | 0.0112962i | −0.0131463 | − | 0.000500203i | ||||
\(511\) | −9.84119 | + | 10.4311i | −0.435349 | + | 0.461443i | ||||
\(512\) | 15.9347 | − | 27.5996i | 0.704219 | − | 1.21974i | ||||
\(513\) | 20.0760 | − | 4.80613i | 0.886377 | − | 0.212196i | ||||
\(514\) | 12.0683 | + | 20.9030i | 0.532312 | + | 0.921992i | ||||
\(515\) | 0.0915534 | + | 0.0216986i | 0.00403432 | + | 0.000956153i | ||||
\(516\) | −5.26948 | + | 24.4157i | −0.231976 | + | 1.07484i | ||||
\(517\) | −72.6152 | − | 36.4687i | −3.19361 | − | 1.60389i | ||||
\(518\) | −21.1245 | − | 2.46910i | −0.928159 | − | 0.108486i | ||||
\(519\) | −15.0264 | − | 4.17068i | −0.659587 | − | 0.183072i | ||||
\(520\) | −0.0158444 | + | 0.00795734i | −0.000694821 | + | 0.000348952i | ||||
\(521\) | −1.12952 | + | 0.411112i | −0.0494852 | + | 0.0180112i | −0.366644 | − | 0.930361i | \(-0.619493\pi\) |
0.317159 | + | 0.948372i | \(0.397271\pi\) | |||||||
\(522\) | −33.8965 | − | 6.60393i | −1.48361 | − | 0.289046i | ||||
\(523\) | −11.8149 | − | 4.30029i | −0.516631 | − | 0.188038i | 0.0705281 | − | 0.997510i | \(-0.477532\pi\) |
−0.587159 | + | 0.809471i | \(0.699754\pi\) | |||||||
\(524\) | 1.72999 | − | 0.202207i | 0.0755751 | − | 0.00883346i | ||||
\(525\) | 12.8728 | + | 2.00332i | 0.561814 | + | 0.0874318i | ||||
\(526\) | 1.14921 | − | 3.83864i | 0.0501081 | − | 0.167373i | ||||
\(527\) | 3.45199 | − | 11.5304i | 0.150371 | − | 0.502274i | ||||
\(528\) | 23.4052 | − | 29.0628i | 1.01858 | − | 1.26479i | ||||
\(529\) | 21.8368 | − | 2.55236i | 0.949426 | − | 0.110972i | ||||
\(530\) | −0.379073 | − | 0.137971i | −0.0164659 | − | 0.00599309i | ||||
\(531\) | 3.30345 | + | 4.08300i | 0.143357 | + | 0.177187i | ||||
\(532\) | 12.2977 | − | 4.47598i | 0.533171 | − | 0.194058i | ||||
\(533\) | −9.67122 | + | 4.85707i | −0.418907 | + | 0.210383i | ||||
\(534\) | 8.98077 | + | 34.7569i | 0.388636 | + | 1.50408i | ||||
\(535\) | 0.0849463 | + | 0.00992880i | 0.00367255 | + | 0.000429260i | ||||
\(536\) | −4.72796 | − | 2.37447i | −0.204217 | − | 0.102561i | ||||
\(537\) | −12.3934 | − | 11.2294i | −0.534815 | − | 0.484583i | ||||
\(538\) | −42.4361 | − | 10.0576i | −1.82955 | − | 0.433612i | ||||
\(539\) | 14.2331 | + | 24.6524i | 0.613062 | + | 1.06185i | ||||
\(540\) | 0.0405582 | − | 0.233102i | 0.00174535 | − | 0.0100311i | ||||
\(541\) | 18.1901 | − | 31.5062i | 0.782053 | − | 1.35456i | −0.148691 | − | 0.988884i | \(-0.547506\pi\) |
0.930744 | − | 0.365672i | \(-0.119161\pi\) | |||||||
\(542\) | 19.2629 | − | 20.4175i | 0.827413 | − | 0.877006i | ||||
\(543\) | −7.93225 | − | 15.0315i | −0.340405 | − | 0.645063i | ||||
\(544\) | 1.90116 | + | 32.6417i | 0.0815116 | + | 1.39950i | ||||
\(545\) | −0.119466 | + | 0.160470i | −0.00511734 | + | 0.00687378i | ||||
\(546\) | 11.6817 | − | 0.916846i | 0.499932 | − | 0.0392374i | ||||
\(547\) | −9.60436 | − | 6.31689i | −0.410653 | − | 0.270091i | 0.327330 | − | 0.944910i | \(-0.393851\pi\) |
−0.737983 | + | 0.674819i | \(0.764221\pi\) | |||||||
\(548\) | −1.60753 | + | 9.11678i | −0.0686705 | + | 0.389450i | ||||
\(549\) | 19.7558 | − | 17.9819i | 0.843159 | − | 0.767449i | ||||
\(550\) | 10.6794 | + | 60.5658i | 0.455370 | + | 2.58253i | ||||
\(551\) | −8.84944 | + | 20.5153i | −0.376999 | + | 0.873981i | ||||
\(552\) | −0.0136396 | − | 0.676906i | −0.000580540 | − | 0.0288110i | ||||
\(553\) | 4.66208 | − | 1.10493i | 0.198252 | − | 0.0469865i | ||||
\(554\) | 6.72853 | + | 7.13183i | 0.285868 | + | 0.303002i | ||||
\(555\) | 0.163717 | + | 0.187313i | 0.00694939 | + | 0.00795100i | ||||
\(556\) | 7.15802 | + | 9.61489i | 0.303568 | + | 0.407762i | ||||
\(557\) | −24.9391 | + | 20.9264i | −1.05670 | + | 0.886679i | −0.993782 | − | 0.111340i | \(-0.964486\pi\) |
−0.0629202 | + | 0.998019i | \(0.520041\pi\) | |||||||
\(558\) | 16.7079 | + | 7.56428i | 0.707303 | + | 0.320221i | ||||
\(559\) | 11.0841 | + | 9.30071i | 0.468810 | + | 0.393378i | ||||
\(560\) | −0.00652130 | + | 0.111966i | −0.000275575 | + | 0.00473144i | ||||
\(561\) | −4.02941 | + | 41.7529i | −0.170122 | + | 1.76281i | ||||
\(562\) | 11.2915 | + | 26.1767i | 0.476304 | + | 1.10420i | ||||
\(563\) | 6.73953 | − | 4.43266i | 0.284037 | − | 0.186814i | −0.399493 | − | 0.916736i | \(-0.630814\pi\) |
0.683531 | + | 0.729922i | \(0.260444\pi\) | |||||||
\(564\) | 6.97794 | + | 50.8016i | 0.293824 | + | 2.13913i | ||||
\(565\) | 0.0110384 | + | 0.0368709i | 0.000464390 | + | 0.00155117i | ||||
\(566\) | −6.13938 | −0.258057 | ||||||||
\(567\) | −7.18497 | + | 11.4764i | −0.301740 | + | 0.481963i | ||||
\(568\) | 1.76643 | 0.0741177 | ||||||||
\(569\) | −3.00013 | − | 10.0211i | −0.125772 | − | 0.420107i | 0.871791 | − | 0.489878i | \(-0.162959\pi\) |
−0.997563 | + | 0.0697702i | \(0.977773\pi\) | |||||||
\(570\) | −0.271228 | − | 0.110570i | −0.0113605 | − | 0.00463127i | ||||
\(571\) | 20.5356 | − | 13.5065i | 0.859389 | − | 0.565229i | −0.0415690 | − | 0.999136i | \(-0.513236\pi\) |
0.900958 | + | 0.433907i | \(0.142865\pi\) | |||||||
\(572\) | 11.4505 | + | 26.5452i | 0.478768 | + | 1.10991i | ||||
\(573\) | 5.56563 | − | 2.53496i | 0.232508 | − | 0.105899i | ||||
\(574\) | 0.882016 | − | 15.1436i | 0.0368146 | − | 0.632083i | ||||
\(575\) | −3.85763 | − | 3.23694i | −0.160874 | − | 0.134990i | ||||
\(576\) | −28.2324 | − | 2.15153i | −1.17635 | − | 0.0896471i | ||||
\(577\) | 16.7824 | − | 14.0821i | 0.698659 | − | 0.586244i | −0.222733 | − | 0.974880i | \(-0.571498\pi\) |
0.921392 | + | 0.388635i | \(0.127053\pi\) | |||||||
\(578\) | 0.929954 | + | 1.24915i | 0.0386810 | + | 0.0519576i | ||||
\(579\) | −36.7037 | + | 7.23714i | −1.52535 | + | 0.300765i | ||||
\(580\) | 0.175733 | + | 0.186266i | 0.00729692 | + | 0.00773429i | ||||
\(581\) | −2.45712 | + | 0.582349i | −0.101939 | + | 0.0241599i | ||||
\(582\) | 20.1451 | − | 12.1784i | 0.835041 | − | 0.504810i | ||||
\(583\) | −22.5588 | + | 52.2971i | −0.934288 | + | 2.16592i | ||||
\(584\) | 0.642372 | + | 3.64307i | 0.0265815 | + | 0.150751i | ||||
\(585\) | −0.108459 | − | 0.0838003i | −0.00448423 | − | 0.00346472i | ||||
\(586\) | 8.57882 | − | 48.6529i | 0.354388 | − | 2.00983i | ||||
\(587\) | 37.2045 | + | 24.4698i | 1.53559 | + | 1.00998i | 0.984470 | + | 0.175553i | \(0.0561714\pi\) |
0.551125 | + | 0.834423i | \(0.314199\pi\) | |||||||
\(588\) | 7.73707 | − | 16.2121i | 0.319072 | − | 0.668577i | ||||
\(589\) | 7.08581 | − | 9.51789i | 0.291966 | − | 0.392178i | ||||
\(590\) | −0.00433289 | − | 0.0743929i | −0.000178382 | − | 0.00306271i | ||||
\(591\) | −15.2940 | + | 24.3062i | −0.629110 | + | 0.999822i | ||||
\(592\) | 16.9911 | − | 18.0095i | 0.698328 | − | 0.740185i | ||||
\(593\) | −0.181983 | + | 0.315204i | −0.00747314 | + | 0.0129439i | −0.869738 | − | 0.493514i | \(-0.835712\pi\) |
0.862265 | + | 0.506458i | \(0.169045\pi\) | |||||||
\(594\) | −62.2286 | − | 14.5997i | −2.55327 | − | 0.599035i | ||||
\(595\) | −0.0630381 | − | 0.109185i | −0.00258431 | − | 0.00447616i | ||||
\(596\) | 16.5681 | + | 3.92670i | 0.678655 | + | 0.160844i | ||||
\(597\) | −34.0452 | + | 10.9445i | −1.39338 | + | 0.447928i | ||||
\(598\) | −4.04761 | − | 2.03279i | −0.165519 | − | 0.0831268i | ||||
\(599\) | −27.7478 | − | 3.24326i | −1.13375 | − | 0.132516i | −0.471544 | − | 0.881842i | \(-0.656303\pi\) |
−0.662201 | + | 0.749326i | \(0.730377\pi\) | |||||||
\(600\) | 2.39744 | − | 2.35495i | 0.0978752 | − | 0.0961403i | ||||
\(601\) | 18.8668 | − | 9.47526i | 0.769593 | − | 0.386504i | −0.0202646 | − | 0.999795i | \(-0.506451\pi\) |
0.789857 | + | 0.613291i | \(0.210155\pi\) | |||||||
\(602\) | −19.0580 | + | 6.93655i | −0.776746 | + | 0.282713i | ||||
\(603\) | 0.731372 | − | 40.8926i | 0.0297838 | − | 1.66528i | ||||
\(604\) | 27.2469 | + | 9.91706i | 1.10866 | + | 0.403519i | ||||
\(605\) | −0.518801 | + | 0.0606392i | −0.0210923 | + | 0.00246533i | ||||
\(606\) | −3.58133 | − | 9.25509i | −0.145482 | − | 0.375962i | ||||
\(607\) | 11.9393 | − | 39.8800i | 0.484600 | − | 1.61868i | −0.270257 | − | 0.962788i | \(-0.587109\pi\) |
0.754857 | − | 0.655889i | \(-0.227706\pi\) | |||||||
\(608\) | −9.24498 | + | 30.8804i | −0.374934 | + | 1.25237i | ||||
\(609\) | −5.28856 | − | 13.6670i | −0.214303 | − | 0.553815i | ||||
\(610\) | −0.376473 | + | 0.0440034i | −0.0152430 | + | 0.00178165i | ||||
\(611\) | 27.9136 | + | 10.1597i | 1.12926 | + | 0.411018i | ||||
\(612\) | 23.1574 | − | 12.8234i | 0.936084 | − | 0.518354i | ||||
\(613\) | −14.2653 | + | 5.19214i | −0.576170 | + | 0.209709i | −0.613636 | − | 0.789589i | \(-0.710294\pi\) |
0.0374659 | + | 0.999298i | \(0.488071\pi\) | |||||||
\(614\) | −35.2690 | + | 17.7128i | −1.42334 | + | 0.714829i | ||||
\(615\) | −0.126582 | + | 0.124339i | −0.00510430 | + | 0.00501382i | ||||
\(616\) | −3.48504 | − | 0.407343i | −0.140416 | − | 0.0164123i | ||||
\(617\) | −32.6914 | − | 16.4183i | −1.31611 | − | 0.660974i | −0.354411 | − | 0.935090i | \(-0.615319\pi\) |
−0.961697 | + | 0.274116i | \(0.911615\pi\) | |||||||
\(618\) | −15.2707 | + | 4.90905i | −0.614276 | + | 0.197471i | ||||
\(619\) | −19.6748 | − | 4.66302i | −0.790799 | − | 0.187423i | −0.184682 | − | 0.982798i | \(-0.559125\pi\) |
−0.606117 | + | 0.795376i | \(0.707274\pi\) | |||||||
\(620\) | −0.0680007 | − | 0.117781i | −0.00273097 | − | 0.00473018i | ||||
\(621\) | 4.67176 | − | 2.35950i | 0.187471 | − | 0.0946836i | ||||
\(622\) | −11.7081 | + | 20.2790i | −0.469450 | + | 0.813112i | ||||
\(623\) | −10.4540 | + | 11.0806i | −0.418829 | + | 0.443933i | ||||
\(624\) | −7.26481 | + | 11.5457i | −0.290825 | + | 0.462198i | ||||
\(625\) | −1.45324 | − | 24.9512i | −0.0581297 | − | 0.998049i | ||||
\(626\) | −6.88319 | + | 9.24573i | −0.275108 | + | 0.369534i | ||||
\(627\) | −17.8113 | + | 37.3214i | −0.711313 | + | 1.49047i | ||||
\(628\) | 12.7225 | + | 8.36770i | 0.507682 | + | 0.333908i | ||||
\(629\) | −4.83308 | + | 27.4098i | −0.192707 | + | 1.09290i | ||||
\(630\) | 0.177735 | − | 0.0729258i | 0.00708111 | − | 0.00290543i | ||||
\(631\) | −1.06905 | − | 6.06286i | −0.0425580 | − | 0.241358i | 0.956107 | − | 0.293019i | \(-0.0946598\pi\) |
−0.998665 | + | 0.0516602i | \(0.983549\pi\) | |||||||
\(632\) | 0.489525 | − | 1.13485i | 0.0194723 | − | 0.0451418i | ||||
\(633\) | 3.22261 | − | 1.94817i | 0.128087 | − | 0.0774330i | ||||
\(634\) | −12.0635 | + | 2.85910i | −0.479102 | + | 0.113549i | ||||
\(635\) | −0.271577 | − | 0.287855i | −0.0107772 | − | 0.0114232i | ||||
\(636\) | 35.2629 | − | 6.95305i | 1.39826 | − | 0.275706i | ||||
\(637\) | −6.21412 | − | 8.34702i | −0.246213 | − | 0.330721i | ||||
\(638\) | 52.9949 | − | 44.4680i | 2.09809 | − | 1.76051i | ||||
\(639\) | 5.90922 | + | 12.3103i | 0.233765 | + | 0.486988i | ||||
\(640\) | 0.0492363 | + | 0.0413141i | 0.00194623 | + | 0.00163308i | ||||
\(641\) | 2.38177 | − | 40.8934i | 0.0940742 | − | 1.61519i | −0.539826 | − | 0.841776i | \(-0.681510\pi\) |
0.633900 | − | 0.773415i | \(-0.281453\pi\) | |||||||
\(642\) | −13.2687 | + | 6.04344i | −0.523673 | + | 0.238516i | ||||
\(643\) | 9.72465 | + | 22.5443i | 0.383503 | + | 0.889060i | 0.995190 | + | 0.0979601i | \(0.0312317\pi\) |
−0.611687 | + | 0.791099i | \(0.709509\pi\) | |||||||
\(644\) | 2.77214 | − | 1.82326i | 0.109238 | − | 0.0718467i | ||||
\(645\) | 0.219675 | + | 0.0895538i | 0.00864971 | + | 0.00352618i | ||||
\(646\) | −9.39829 | − | 31.3925i | −0.369771 | − | 1.23512i | ||||
\(647\) | 44.0995 | 1.73373 | 0.866866 | − | 0.498542i | \(-0.166131\pi\) | ||||
0.866866 | + | 0.498542i | \(0.166131\pi\) | |||||||
\(648\) | 1.26783 | + | 3.25449i | 0.0498051 | + | 0.127848i | ||||
\(649\) | −10.5211 | −0.412990 | ||||||||
\(650\) | −6.44795 | − | 21.5376i | −0.252909 | − | 0.844776i | ||||
\(651\) | 1.05908 | + | 7.71047i | 0.0415088 | + | 0.302197i | ||||
\(652\) | −9.51102 | + | 6.25549i | −0.372480 | + | 0.244984i | ||||
\(653\) | −3.90101 | − | 9.04355i | −0.152658 | − | 0.353902i | 0.824675 | − | 0.565606i | \(-0.191358\pi\) |
−0.977334 | + | 0.211705i | \(0.932099\pi\) | |||||||
\(654\) | 3.27616 | − | 33.9478i | 0.128108 | − | 1.32746i | ||||
\(655\) | 0.000961862 | − | 0.0165145i | 3.75831e−5 | − | 0.000645276i | ||||
\(656\) | 13.5279 | + | 11.3512i | 0.528174 | + | 0.443191i | ||||
\(657\) | −23.2398 | + | 16.6639i | −0.906671 | + | 0.650119i | ||||
\(658\) | −31.8953 | + | 26.7634i | −1.24341 | + | 1.04334i | ||||
\(659\) | −22.8178 | − | 30.6496i | −0.888855 | − | 1.19394i | −0.980178 | − | 0.198118i | \(-0.936517\pi\) |
0.0913231 | − | 0.995821i | \(-0.470890\pi\) | |||||||
\(660\) | 0.311920 | + | 0.356877i | 0.0121415 | + | 0.0138914i | ||||
\(661\) | 21.7200 | + | 23.0219i | 0.844810 | + | 0.895447i | 0.995656 | − | 0.0931107i | \(-0.0296810\pi\) |
−0.150845 | + | 0.988557i | \(0.548200\pi\) | |||||||
\(662\) | −20.3475 | + | 4.82244i | −0.790827 | + | 0.187429i | ||||
\(663\) | −0.308920 | − | 15.3311i | −0.0119975 | − | 0.595410i | ||||
\(664\) | −0.258002 | + | 0.598115i | −0.0100124 | + | 0.0232114i | ||||
\(665\) | −0.0215833 | − | 0.122405i | −0.000836965 | − | 0.00474666i | ||||
\(666\) | −40.4053 | − | 12.8882i | −1.56568 | − | 0.499409i | ||||
\(667\) | −0.983652 | + | 5.57857i | −0.0380872 | + | 0.216003i | ||||
\(668\) | −17.2858 | − | 11.3690i | −0.668807 | − | 0.439881i | ||||
\(669\) | 38.9837 | − | 3.05965i | 1.50720 | − | 0.118293i | ||||
\(670\) | −0.346533 | + | 0.465475i | −0.0133877 | + | 0.0179829i | ||||
\(671\) | 3.11163 | + | 53.4246i | 0.120123 | + | 2.06243i | ||||
\(672\) | −9.86756 | − | 18.6989i | −0.380650 | − | 0.721325i | ||||
\(673\) | 6.28061 | − | 6.65706i | 0.242100 | − | 0.256611i | −0.594918 | − | 0.803786i | \(-0.702816\pi\) |
0.837018 | + | 0.547176i | \(0.184297\pi\) | |||||||
\(674\) | −9.32222 | + | 16.1466i | −0.359079 | + | 0.621942i | ||||
\(675\) | 24.4319 | + | 8.82989i | 0.940383 | + | 0.339863i | ||||
\(676\) | 8.94828 | + | 15.4989i | 0.344165 | + | 0.596111i | ||||
\(677\) | −1.30114 | − | 0.308376i | −0.0500069 | − | 0.0118519i | 0.205536 | − | 0.978649i | \(-0.434106\pi\) |
−0.255543 | + | 0.966798i | \(0.582254\pi\) | |||||||
\(678\) | −4.86231 | − | 4.40563i | −0.186736 | − | 0.169197i | ||||
\(679\) | 8.92681 | + | 4.48321i | 0.342580 | + | 0.172050i | ||||
\(680\) | −0.0323022 | − | 0.00377559i | −0.00123873 | − | 0.000144787i | ||||
\(681\) | −7.99630 | − | 30.9468i | −0.306419 | − | 1.18589i | ||||
\(682\) | −32.8326 | + | 16.4892i | −1.25723 | + | 0.631403i | ||||
\(683\) | 13.8418 | − | 5.03800i | 0.529642 | − | 0.192774i | −0.0633367 | − | 0.997992i | \(-0.520174\pi\) |
0.592978 | + | 0.805218i | \(0.297952\pi\) | |||||||
\(684\) | 25.7770 | − | 4.07131i | 0.985607 | − | 0.155670i | ||||
\(685\) | 0.0826203 | + | 0.0300713i | 0.00315676 | + | 0.00114897i | ||||
\(686\) | 35.8971 | − | 4.19577i | 1.37056 | − | 0.160195i | ||||
\(687\) | 12.2718 | − | 15.2382i | 0.468199 | − | 0.581372i | ||||
\(688\) | 6.77151 | − | 22.6184i | 0.258161 | − | 0.862319i | ||||
\(689\) | 5.97142 | − | 19.9459i | 0.227493 | − | 0.759880i | ||||
\(690\) | −0.0733771 | − | 0.0114193i | −0.00279342 | − | 0.000434723i | ||||
\(691\) | −15.9253 | + | 1.86141i | −0.605828 | + | 0.0708112i | −0.413476 | − | 0.910515i | \(-0.635686\pi\) |
−0.192352 | + | 0.981326i | \(0.561612\pi\) | |||||||
\(692\) | −18.5251 | − | 6.74259i | −0.704219 | − | 0.256315i | ||||
\(693\) | −8.81969 | − | 25.6501i | −0.335032 | − | 0.974366i | ||||
\(694\) | 5.55168 | − | 2.02065i | 0.210739 | − | 0.0767027i | ||||
\(695\) | 0.101736 | − | 0.0510936i | 0.00385905 | − | 0.00193809i | ||||
\(696\) | −3.64253 | − | 1.01101i | −0.138070 | − | 0.0383221i | ||||
\(697\) | −19.7169 | − | 2.30458i | −0.746831 | − | 0.0872921i | ||||
\(698\) | 50.1141 | + | 25.1683i | 1.89685 | + | 0.952633i | ||||
\(699\) | −6.01947 | + | 27.8907i | −0.227677 | + | 1.05492i | ||||
\(700\) | 16.0253 | + | 3.79806i | 0.605698 | + | 0.143553i | ||||
\(701\) | −1.43354 | − | 2.48297i | −0.0541441 | − | 0.0937804i | 0.837683 | − | 0.546157i | \(-0.183910\pi\) |
−0.891827 | + | 0.452376i | \(0.850576\pi\) | |||||||
\(702\) | 23.2142 | + | 2.66009i | 0.876164 | + | 0.100399i | ||||
\(703\) | −13.7195 | + | 23.7629i | −0.517441 | + | 0.896234i | ||||
\(704\) | 38.9240 | − | 41.2571i | 1.46701 | − | 1.55493i | ||||
\(705\) | 0.486668 | + | 0.0185172i | 0.0183290 | + | 0.000697396i | ||||
\(706\) | 0.330610 | + | 5.67636i | 0.0124427 | + | 0.213633i | ||||
\(707\) | 2.51477 | − | 3.37792i | 0.0945777 | − | 0.127040i | ||||
\(708\) | 3.75943 | + | 5.47253i | 0.141288 | + | 0.205670i | ||||
\(709\) | −18.2414 | − | 11.9975i | −0.685069 | − | 0.450577i | 0.158669 | − | 0.987332i | \(-0.449280\pi\) |
−0.843738 | + | 0.536755i | \(0.819650\pi\) | |||||||
\(710\) | 0.0336439 | − | 0.190804i | 0.00126263 | − | 0.00716075i | ||||
\(711\) | 9.54640 | − | 0.384874i | 0.358018 | − | 0.0144339i | ||||
\(712\) | 0.682370 | + | 3.86991i | 0.0255729 | + | 0.145031i | ||||
\(713\) | 1.19157 | − | 2.76238i | 0.0446247 | − | 0.103452i | ||||
\(714\) | 18.8265 | + | 10.3695i | 0.704565 | + | 0.388069i | ||||
\(715\) | 0.267168 | − | 0.0633200i | 0.00999152 | − | 0.00236803i | ||||
\(716\) | −14.5085 | − | 15.3781i | −0.542209 | − | 0.574708i | ||||
\(717\) | −6.13002 | + | 17.9599i | −0.228930 | + | 0.670724i | ||||
\(718\) | −22.7547 | − | 30.5649i | −0.849198 | − | 1.14067i | ||||
\(719\) | −11.5460 | + | 9.68821i | −0.430591 | + | 0.361309i | −0.832175 | − | 0.554513i | \(-0.812904\pi\) |
0.401583 | + | 0.915822i | \(0.368460\pi\) | |||||||
\(720\) | −0.0554605 | + | 0.216664i | −0.00206689 | + | 0.00807460i | ||||
\(721\) | −5.21430 | − | 4.37531i | −0.194191 | − | 0.162945i | ||||
\(722\) | −0.382852 | + | 6.57332i | −0.0142483 | + | 0.244634i | ||||
\(723\) | −28.1238 | − | 20.0696i | −1.04594 | − | 0.746398i | ||||
\(724\) | −8.51010 | − | 19.7286i | −0.316275 | − | 0.733209i | ||||
\(725\) | −23.4914 | + | 15.4505i | −0.872449 | + | 0.573819i | ||||
\(726\) | 70.3408 | − | 54.6033i | 2.61059 | − | 2.02652i | ||||
\(727\) | 15.3809 | + | 51.3757i | 0.570445 | + | 1.90542i | 0.385657 | + | 0.922642i | \(0.373975\pi\) |
0.184788 | + | 0.982778i | \(0.440840\pi\) | |||||||
\(728\) | 1.28267 | 0.0475390 | ||||||||
\(729\) | −18.4394 | + | 19.7228i | −0.682941 | + | 0.730473i | ||||
\(730\) | 0.405748 | 0.0150174 | ||||||||
\(731\) | 7.61195 | + | 25.4257i | 0.281538 | + | 0.940402i | ||||
\(732\) | 26.6767 | − | 20.7083i | 0.986001 | − | 0.765400i | ||||
\(733\) | 8.05165 | − | 5.29565i | 0.297394 | − | 0.195599i | −0.392039 | − | 0.919949i | \(-0.628230\pi\) |
0.689433 | + | 0.724349i | \(0.257860\pi\) | |||||||
\(734\) | 3.35348 | + | 7.77425i | 0.123779 | + | 0.286953i | ||||
\(735\) | −0.138876 | − | 0.0991043i | −0.00512252 | − | 0.00365552i | ||||
\(736\) | −0.475194 | + | 8.15877i | −0.0175159 | + | 0.300736i | ||||
\(737\) | 62.7631 | + | 52.6645i | 2.31191 | + | 1.93992i | ||||
\(738\) | 7.50112 | − | 29.3042i | 0.276120 | − | 1.07870i | ||||
\(739\) | −15.1436 | + | 12.7070i | −0.557067 | + | 0.467435i | −0.877326 | − | 0.479895i | \(-0.840675\pi\) |
0.320259 | + | 0.947330i | \(0.396230\pi\) | |||||||
\(740\) | 0.187803 | + | 0.252263i | 0.00690376 | + | 0.00927336i | ||||
\(741\) | 4.88321 | − | 14.3069i | 0.179389 | − | 0.525579i | ||||
\(742\) | 20.0269 | + | 21.2273i | 0.735211 | + | 0.779278i | ||||
\(743\) | 49.5365 | − | 11.7404i | 1.81732 | − | 0.430712i | 0.826163 | − | 0.563432i | \(-0.190519\pi\) |
0.991154 | + | 0.132720i | \(0.0423711\pi\) | |||||||
\(744\) | 1.75853 | + | 0.968588i | 0.0644710 | + | 0.0355102i | ||||
\(745\) | 0.0640520 | − | 0.148489i | 0.00234668 | − | 0.00544022i | ||||
\(746\) | 1.38612 | + | 7.86105i | 0.0507493 | + | 0.287814i | ||||
\(747\) | −5.03138 | + | 0.202846i | −0.184089 | + | 0.00742175i | ||||
\(748\) | −9.20818 | + | 52.2222i | −0.336685 | + | 1.90943i | ||||
\(749\) | −5.16929 | − | 3.39990i | −0.188882 | − | 0.124230i | ||||
\(750\) | −0.417442 | − | 0.607661i | −0.0152428 | − | 0.0221886i | ||||
\(751\) | 1.48620 | − | 1.99632i | 0.0542323 | − | 0.0728466i | −0.774180 | − | 0.632966i | \(-0.781837\pi\) |
0.828412 | + | 0.560119i | \(0.189245\pi\) | |||||||
\(752\) | −2.81834 | − | 48.3891i | −0.102774 | − | 1.76457i | ||||
\(753\) | 35.7833 | + | 1.36151i | 1.30402 | + | 0.0496162i | ||||
\(754\) | −17.3548 | + | 18.3950i | −0.632023 | + | 0.669905i | ||||
\(755\) | 0.137693 | − | 0.238491i | 0.00501116 | − | 0.00867959i | ||||
\(756\) | −10.1903 | + | 13.7529i | −0.370618 | + | 0.500187i | ||||
\(757\) | −12.1617 | − | 21.0647i | −0.442025 | − | 0.765610i | 0.555815 | − | 0.831306i | \(-0.312406\pi\) |
−0.997840 | + | 0.0656966i | \(0.979073\pi\) | |||||||
\(758\) | −62.5283 | − | 14.8195i | −2.27113 | − | 0.538268i | ||||
\(759\) | −2.21190 | + | 10.2486i | −0.0802869 | + | 0.372002i | ||||
\(760\) | −0.0286518 | − | 0.0143895i | −0.00103931 | − | 0.000521962i | ||||
\(761\) | 20.5191 | + | 2.39833i | 0.743815 | + | 0.0869395i | 0.479555 | − | 0.877512i | \(-0.340798\pi\) |
0.264260 | + | 0.964451i | \(0.414872\pi\) | |||||||
\(762\) | 65.0087 | + | 18.0436i | 2.35502 | + | 0.653649i | ||||
\(763\) | 12.9334 | − | 6.49539i | 0.468220 | − | 0.235149i | ||||
\(764\) | 7.26505 | − | 2.64426i | 0.262840 | − | 0.0956660i | ||||
\(765\) | −0.0817482 | − | 0.237746i | −0.00295561 | − | 0.00859572i | ||||
\(766\) | −43.6234 | − | 15.8776i | −1.57618 | − | 0.573681i | ||||
\(767\) | 3.82012 | − | 0.446508i | 0.137937 | − | 0.0161225i | ||||
\(768\) | 21.4787 | + | 3.34260i | 0.775044 | + | 0.120616i | ||||
\(769\) | 8.76211 | − | 29.2675i | 0.315970 | − | 1.05541i | −0.641559 | − | 0.767074i | \(-0.721712\pi\) |
0.957529 | − | 0.288338i | \(-0.0931028\pi\) | |||||||
\(770\) | −0.110377 | + | 0.368685i | −0.00397771 | + | 0.0132865i | ||||
\(771\) | −12.8108 | + | 15.9074i | −0.461369 | + | 0.572892i | ||||
\(772\) | −46.9732 | + | 5.49038i | −1.69060 | + | 0.197603i | ||||
\(773\) | −10.0042 | − | 3.64122i | −0.359825 | − | 0.130966i | 0.155780 | − | 0.987792i | \(-0.450211\pi\) |
−0.515606 | + | 0.856826i | \(0.672433\pi\) | |||||||
\(774\) | −39.9472 | + | 6.30941i | −1.43587 | + | 0.226787i | ||||
\(775\) | 14.0321 | − | 5.10725i | 0.504046 | − | 0.183458i | ||||
\(776\) | 2.30273 | − | 1.15647i | 0.0826630 | − | 0.0415149i | ||||
\(777\) | −4.50242 | − | 17.4250i | −0.161524 | − | 0.625120i | ||||
\(778\) | 32.4980 | + | 3.79847i | 1.16511 | + | 0.136182i | ||||
\(779\) | −17.4888 | − | 8.78318i | −0.626600 | − | 0.314690i | ||||
\(780\) | −0.128401 | − | 0.116341i | −0.00459748 | − | 0.00416567i | ||||
\(781\) | −26.6173 | − | 6.30843i | −0.952443 | − | 0.225733i | ||||
\(782\) | −4.15406 | − | 7.19504i | −0.148549 | − | 0.257294i | ||||
\(783\) | −5.13959 | − | 28.7671i | −0.183674 | − | 1.02805i | ||||
\(784\) | −8.49011 | + | 14.7053i | −0.303218 | + | 0.525189i | ||||
\(785\) | 0.0992475 | − | 0.105196i | 0.00354230 | − | 0.00375461i | ||||
\(786\) | 1.31620 | + | 2.49417i | 0.0469472 | + | 0.0889642i | ||||
\(787\) | 0.661014 | + | 11.3492i | 0.0235626 | + | 0.404555i | 0.989382 | + | 0.145339i | \(0.0464271\pi\) |
−0.965819 | + | 0.259216i | \(0.916536\pi\) | |||||||
\(788\) | −21.6790 | + | 29.1200i | −0.772284 | + | 1.03736i | ||||
\(789\) | 3.38032 | − | 0.265305i | 0.120342 | − | 0.00944512i | ||||
\(790\) | −0.113259 | − | 0.0744916i | −0.00402957 | − | 0.00265029i | ||||
\(791\) | 0.483497 | − | 2.74205i | 0.0171912 | − | 0.0974960i | ||||
\(792\) | −6.66591 | − | 2.12625i | −0.236863 | − | 0.0755530i | ||||
\(793\) | −3.39710 | − | 19.2659i | −0.120634 | − | 0.684152i | ||||
\(794\) | 20.6624 | − | 47.9009i | 0.733282 | − | 1.69994i | ||||
\(795\) | −0.00687696 | − | 0.341290i | −0.000243901 | − | 0.0121043i | ||||
\(796\) | −43.9893 | + | 10.4257i | −1.55916 | + | 0.369528i | ||||
\(797\) | 21.7922 | + | 23.0984i | 0.771919 | + | 0.818186i | 0.987387 | − | 0.158325i | \(-0.0506093\pi\) |
−0.215468 | + | 0.976511i | \(0.569128\pi\) | |||||||
\(798\) | 13.9445 | + | 15.9543i | 0.493631 | + | 0.564778i | ||||
\(799\) | 32.5374 | + | 43.7053i | 1.15109 | + | 1.54618i | ||||
\(800\) | −31.0751 | + | 26.0751i | −1.09867 | + | 0.921893i | ||||
\(801\) | −24.6869 | + | 17.7015i | −0.872267 | + | 0.625450i | ||||
\(802\) | −15.4204 | − | 12.9392i | −0.544512 | − | 0.456900i | ||||
\(803\) | 3.33091 | − | 57.1896i | 0.117545 | − | 2.01818i | ||||
\(804\) | 4.96661 | − | 51.4642i | 0.175159 | − | 1.81500i | ||||
\(805\) | −0.0124815 | − | 0.0289355i | −0.000439917 | − | 0.00101984i | ||||
\(806\) | 11.2214 | − | 7.38045i | 0.395258 | − | 0.259965i | ||||
\(807\) | −5.02190 | − | 36.5611i | −0.176779 | − | 1.28701i | ||||
\(808\) | −0.311558 | − | 1.04068i | −0.0109606 | − | 0.0366108i | ||||
\(809\) | −13.8022 | −0.485261 | −0.242630 | − | 0.970119i | \(-0.578010\pi\) | ||||
−0.242630 | + | 0.970119i | \(0.578010\pi\) | |||||||
\(810\) | 0.375688 | − | 0.0749611i | 0.0132003 | − | 0.00263386i | ||||
\(811\) | −45.3121 | −1.59112 | −0.795562 | − | 0.605873i | \(-0.792824\pi\) | ||||
−0.795562 | + | 0.605873i | \(0.792824\pi\) | |||||||
\(812\) | −5.31326 | − | 17.7475i | −0.186459 | − | 0.622816i | ||||
\(813\) | 21.9955 | + | 8.96680i | 0.771417 | + | 0.314479i | ||||
\(814\) | 70.9832 | − | 46.6864i | 2.48796 | − | 1.63636i | ||||
\(815\) | 0.0428233 | + | 0.0992757i | 0.00150004 | + | 0.00347747i | ||||
\(816\) | −22.7709 | + | 10.3714i | −0.797140 | + | 0.363071i | ||||
\(817\) | −1.52138 | + | 26.1211i | −0.0532263 | + | 0.913860i | ||||
\(818\) | −38.3352 | − | 32.1671i | −1.34036 | − | 1.12470i | ||||
\(819\) | 4.29091 | + | 8.93899i | 0.149937 | + | 0.312354i | ||||
\(820\) | −0.171829 | + | 0.144182i | −0.00600054 | + | 0.00503505i | ||||
\(821\) | 16.8517 | + | 22.6358i | 0.588129 | + | 0.789994i | 0.992190 | − | 0.124738i | \(-0.0398090\pi\) |
−0.404061 | + | 0.914732i | \(0.632402\pi\) | |||||||
\(822\) | −14.7058 | + | 2.89966i | −0.512925 | + | 0.101137i | ||||
\(823\) | 1.36217 | + | 1.44381i | 0.0474822 | + | 0.0503282i | 0.750679 | − | 0.660667i | \(-0.229726\pi\) |
−0.703197 | + | 0.710995i | \(0.748245\pi\) | |||||||
\(824\) | −1.70852 | + | 0.404927i | −0.0595192 | + | 0.0141063i | ||||
\(825\) | −44.5360 | + | 26.9235i | −1.55054 | + | 0.937355i | ||||
\(826\) | −2.13525 | + | 4.95007i | −0.0742950 | + | 0.172235i | ||||
\(827\) | 5.08225 | + | 28.8229i | 0.176727 | + | 1.00227i | 0.936131 | + | 0.351650i | \(0.114379\pi\) |
−0.759404 | + | 0.650619i | \(0.774509\pi\) | |||||||
\(828\) | 6.12116 | − | 2.51156i | 0.212725 | − | 0.0872826i | ||||
\(829\) | 4.01243 | − | 22.7556i | 0.139358 | − | 0.790336i | −0.832368 | − | 0.554223i | \(-0.813015\pi\) |
0.971726 | − | 0.236113i | \(-0.0758734\pi\) | |||||||
\(830\) | 0.0596926 | + | 0.0392604i | 0.00207196 | + | 0.00136275i | ||||
\(831\) | −3.57353 | + | 7.48792i | −0.123964 | + | 0.259753i | ||||
\(832\) | −12.3820 | + | 16.6320i | −0.429270 | + | 0.576609i | ||||
\(833\) | −1.10985 | − | 19.0554i | −0.0384540 | − | 0.660230i | ||||
\(834\) | −10.3361 | + | 16.4269i | −0.357912 | + | 0.568816i | ||||
\(835\) | −0.134846 | + | 0.142928i | −0.00466653 | + | 0.00494623i | ||||
\(836\) | −26.1390 | + | 45.2740i | −0.904035 | + | 1.56583i | ||||
\(837\) | −0.867316 | + | 15.4955i | −0.0299788 | + | 0.535603i | ||||
\(838\) | −4.45849 | − | 7.72233i | −0.154016 | − | 0.266763i | ||||
\(839\) | −4.80613 | − | 1.13907i | −0.165926 | − | 0.0393252i | 0.146813 | − | 0.989164i | \(-0.453098\pi\) |
−0.312739 | + | 0.949839i | \(0.601247\pi\) | |||||||
\(840\) | 0.0200206 | − | 0.00643603i | 0.000690778 | − | 0.000222064i | ||||
\(841\) | 2.34856 | + | 1.17949i | 0.0809849 | + | 0.0406722i | ||||
\(842\) | 2.57576 | + | 0.301063i | 0.0887666 | + | 0.0103753i | ||||
\(843\) | −17.2099 | + | 16.9048i | −0.592740 | + | 0.582234i | ||||
\(844\) | 4.25412 | − | 2.13650i | 0.146433 | − | 0.0735414i | ||||
\(845\) | 0.159723 | − | 0.0581343i | 0.00549463 | − | 0.00199988i | ||||
\(846\) | −72.6342 | + | 40.2210i | −2.49722 | + | 1.38283i | ||||
\(847\) | 35.5086 | + | 12.9241i | 1.22009 | + | 0.444076i | ||||
\(848\) | −33.7443 | + | 3.94414i | −1.15878 | + | 0.135442i | ||||
\(849\) | −1.87484 | − | 4.84507i | −0.0643443 | − | 0.166282i | ||||
\(850\) | 11.8273 | − | 39.5058i | 0.405672 | − | 1.35504i | ||||
\(851\) | −1.99522 | + | 6.66449i | −0.0683952 | + | 0.228456i | ||||
\(852\) | 6.22966 | + | 16.0991i | 0.213425 | + | 0.551545i | ||||
\(853\) | 33.4776 | − | 3.91297i | 1.14625 | − | 0.133978i | 0.478310 | − | 0.878191i | \(-0.341249\pi\) |
0.667942 | + | 0.744213i | \(0.267175\pi\) | |||||||
\(854\) | 25.7672 | + | 9.37848i | 0.881734 | + | 0.320925i | ||||
\(855\) | 0.00443218 | − | 0.247813i | 0.000151577 | − | 0.00847502i | ||||
\(856\) | −1.49976 | + | 0.545869i | −0.0512609 | + | 0.0186574i | ||||
\(857\) | −11.9854 | + | 6.01928i | −0.409413 | + | 0.205615i | −0.641572 | − | 0.767063i | \(-0.721717\pi\) |
0.232159 | + | 0.972678i | \(0.425421\pi\) | |||||||
\(858\) | −33.3931 | + | 32.8012i | −1.14002 | + | 1.11981i | ||||
\(859\) | −24.9583 | − | 2.91721i | −0.851567 | − | 0.0995339i | −0.320899 | − | 0.947114i | \(-0.603985\pi\) |
−0.530668 | + | 0.847580i | \(0.678059\pi\) | |||||||
\(860\) | 0.267996 | + | 0.134593i | 0.00913860 | + | 0.00458958i | ||||
\(861\) | 12.2204 | − | 3.92848i | 0.416469 | − | 0.133882i | ||||
\(862\) | 71.1379 | + | 16.8600i | 2.42297 | + | 0.574253i | ||||
\(863\) | −6.50193 | − | 11.2617i | −0.221328 | − | 0.383352i | 0.733883 | − | 0.679276i | \(-0.237706\pi\) |
−0.955212 | + | 0.295924i | \(0.904373\pi\) | |||||||
\(864\) | −12.1832 | − | 40.3620i | −0.414482 | − | 1.37314i | ||||
\(865\) | −0.0936173 | + | 0.162150i | −0.00318308 | + | 0.00551326i | ||||
\(866\) | −45.4509 | + | 48.1752i | −1.54448 | + | 1.63706i | ||||
\(867\) | −0.701810 | + | 1.11536i | −0.0238347 | + | 0.0378797i | ||||
\(868\) | 0.572077 | + | 9.82218i | 0.0194176 | + | 0.333387i | ||||
\(869\) | −11.4293 | + | 15.3522i | −0.387711 | + | 0.520786i | ||||
\(870\) | −0.178583 | + | 0.374199i | −0.00605452 | + | 0.0126865i | ||||
\(871\) | −25.0237 | − | 16.4584i | −0.847896 | − | 0.557670i | ||||
\(872\) | 0.648290 | − | 3.67663i | 0.0219539 | − | 0.124507i | ||||
\(873\) | 15.7628 | + | 12.1790i | 0.533490 | + | 0.412198i | ||||
\(874\) | −1.42229 | − | 8.06620i | −0.0481096 | − | 0.272843i | ||||
\(875\) | 0.123912 | − | 0.287261i | 0.00418901 | − | 0.00971121i | ||||
\(876\) | −30.9372 | + | 18.7025i | −1.04527 | + | 0.631900i | ||||
\(877\) | −8.95662 | + | 2.12276i | −0.302443 | + | 0.0716804i | −0.379036 | − | 0.925382i | \(-0.623744\pi\) |
0.0765922 | + | 0.997063i | \(0.475596\pi\) | |||||||
\(878\) | 12.4776 | + | 13.2255i | 0.421098 | + | 0.446338i | ||||
\(879\) | 41.0156 | − | 8.08735i | 1.38342 | − | 0.272780i | ||||
\(880\) | −0.267543 | − | 0.359373i | −0.00901889 | − | 0.0121145i | ||||
\(881\) | 13.6126 | − | 11.4223i | 0.458619 | − | 0.384827i | −0.384004 | − | 0.923331i | \(-0.625455\pi\) |
0.842622 | + | 0.538505i | \(0.181011\pi\) | |||||||
\(882\) | 29.0016 | + | 2.21015i | 0.976534 | + | 0.0744196i | ||||
\(883\) | 30.2693 | + | 25.3990i | 1.01864 | + | 0.854744i | 0.989457 | − | 0.144830i | \(-0.0462635\pi\) |
0.0291877 | + | 0.999574i | \(0.490708\pi\) | |||||||
\(884\) | 1.12714 | − | 19.3522i | 0.0379097 | − | 0.650884i | ||||
\(885\) | 0.0573861 | − | 0.0261374i | 0.00192901 | − | 0.000878600i | ||||
\(886\) | −10.9039 | − | 25.2781i | −0.366324 | − | 0.849235i | ||||
\(887\) | 44.5438 | − | 29.2969i | 1.49563 | − | 0.983694i | 0.502773 | − | 0.864419i | \(-0.332313\pi\) |
0.992861 | − | 0.119275i | \(-0.0380571\pi\) | |||||||
\(888\) | −4.29902 | − | 1.75256i | −0.144266 | − | 0.0588119i | ||||
\(889\) | 8.21107 | + | 27.4269i | 0.275390 | + | 0.919868i | ||||
\(890\) | 0.431013 | 0.0144476 | ||||||||
\(891\) | −7.48151 | − | 53.5679i | −0.250640 | − | 1.79459i | ||||
\(892\) | 49.4334 | 1.65515 | ||||||||
\(893\) | 15.4061 | + | 51.4598i | 0.515544 | + | 1.72204i | ||||
\(894\) | 3.75156 | + | 27.3126i | 0.125471 | + | 0.913469i | ||||
\(895\) | −0.167764 | + | 0.110340i | −0.00560772 | + | 0.00368825i | ||||
\(896\) | −1.84168 | − | 4.26949i | −0.0615262 | − | 0.142634i | ||||
\(897\) | 0.368176 | − | 3.81506i | 0.0122930 | − | 0.127381i | ||||
\(898\) | 2.12003 | − | 36.3995i | 0.0707463 | − | 1.21467i | ||||
\(899\) | −12.8675 | − | 10.7971i | −0.429155 | − | 0.360104i | ||||
\(900\) | 29.9178 | + | 13.5449i | 0.997261 | + | 0.451496i | ||||
\(901\) | 29.2557 | − | 24.5485i | 0.974650 | − | 0.817829i | ||||
\(902\) | 36.1857 | + | 48.6058i | 1.20485 | + | 1.61840i | ||||
\(903\) | −11.2941 | − | 12.9219i | −0.375844 | − | 0.430014i | ||||
\(904\) | −0.492886 | − | 0.522429i | −0.0163931 | − | 0.0173757i | ||||
\(905\) | −0.198562 | + | 0.0470600i | −0.00660042 | + | 0.00156433i | ||||
\(906\) | 0.945798 | + | 46.9381i | 0.0314220 | + | 1.55941i | ||||
\(907\) | −1.21010 | + | 2.80532i | −0.0401807 | + | 0.0931493i | −0.937124 | − | 0.348995i | \(-0.886523\pi\) |
0.896944 | + | 0.442145i | \(0.145782\pi\) | |||||||
\(908\) | −7.01657 | − | 39.7929i | −0.232853 | − | 1.32057i | ||||
\(909\) | 6.21026 | − | 5.65262i | 0.205981 | − | 0.187486i | ||||
\(910\) | 0.0244302 | − | 0.138550i | 0.000809852 | − | 0.00459290i | ||||
\(911\) | 12.9761 | + | 8.53455i | 0.429919 | + | 0.282762i | 0.745969 | − | 0.665980i | \(-0.231987\pi\) |
−0.316050 | + | 0.948742i | \(0.602357\pi\) | |||||||
\(912\) | −24.5921 | + | 1.93012i | −0.814325 | + | 0.0639126i | ||||
\(913\) | 6.02373 | − | 8.09128i | 0.199356 | − | 0.267782i | ||||
\(914\) | 0.148509 | + | 2.54980i | 0.00491224 | + | 0.0843399i | ||||
\(915\) | −0.149694 | − | 0.283667i | −0.00494872 | − | 0.00937774i | ||||
\(916\) | 16.9733 | − | 17.9907i | 0.560814 | − | 0.594428i | ||||
\(917\) | −0.598373 | + | 1.03641i | −0.0197600 | + | 0.0342253i | ||||
\(918\) | 32.8948 | + | 27.4753i | 1.08569 | + | 0.906821i | ||||
\(919\) | −4.19749 | − | 7.27027i | −0.138462 | − | 0.239824i | 0.788452 | − | 0.615096i | \(-0.210883\pi\) |
−0.926915 | + | 0.375272i | \(0.877549\pi\) | |||||||
\(920\) | −0.00790978 | − | 0.00187465i | −0.000260778 | − | 6.18055e-5i | ||||
\(921\) | −24.7490 | − | 22.4244i | −0.815506 | − | 0.738911i | ||||
\(922\) | 34.5089 | + | 17.3310i | 1.13649 | + | 0.570766i | ||||
\(923\) | 9.93223 | + | 1.16091i | 0.326923 | + | 0.0382118i | ||||
\(924\) | −8.57821 | − | 33.1989i | −0.282202 | − | 1.09216i | ||||
\(925\) | −30.8577 | + | 15.4973i | −1.01459 | + | 0.509548i | ||||
\(926\) | −22.8775 | + | 8.32674i | −0.751802 | + | 0.273634i | ||||
\(927\) | −8.53745 | − | 10.5522i | −0.280407 | − | 0.346578i | ||||
\(928\) | 42.8793 | + | 15.6068i | 1.40758 | + | 0.512318i | ||||
\(929\) | −25.5551 | + | 2.98697i | −0.838436 | + | 0.0979992i | −0.524464 | − | 0.851433i | \(-0.675734\pi\) |
−0.313973 | + | 0.949432i | \(0.601660\pi\) | |||||||
\(930\) | 0.138117 | − | 0.171503i | 0.00452905 | − | 0.00562382i | ||||
\(931\) | 5.39700 | − | 18.0272i | 0.176879 | − | 0.590818i | ||||
\(932\) | −10.3451 | + | 34.5549i | −0.338864 | + | 1.13188i | ||||
\(933\) | −19.5791 | − | 3.04698i | −0.640991 | − | 0.0997537i | ||||
\(934\) | 14.0946 | − | 1.64742i | 0.461188 | − | 0.0539052i | ||||
\(935\) | 0.473261 | + | 0.172253i | 0.0154773 | + | 0.00563327i | ||||
\(936\) | 2.51057 | + | 0.489125i | 0.0820604 | + | 0.0159875i | ||||
\(937\) | −28.5906 | + | 10.4061i | −0.934015 | + | 0.339954i | −0.763800 | − | 0.645453i | \(-0.776668\pi\) |
−0.170215 | + | 0.985407i | \(0.554446\pi\) | |||||||
\(938\) | 37.5158 | − | 18.8411i | 1.22493 | − | 0.615185i | ||||
\(939\) | −9.39851 | − | 2.60861i | −0.306709 | − | 0.0851289i | ||||
\(940\) | 0.611512 | + | 0.0714755i | 0.0199453 | + | 0.00233127i | ||||
\(941\) | −48.9474 | − | 24.5823i | −1.59564 | − | 0.801360i | −0.595640 | − | 0.803251i | \(-0.703102\pi\) |
−0.999998 | + | 0.00189180i | \(0.999398\pi\) | |||||||
\(942\) | −5.20148 | + | 24.1006i | −0.169473 | + | 0.785240i | ||||
\(943\) | −4.82804 | − | 1.14427i | −0.157223 | − | 0.0372625i | ||||
\(944\) | −3.13795 | − | 5.43509i | −0.102132 | − | 0.176897i | ||||
\(945\) | 0.111828 | + | 0.117994i | 0.00363776 | + | 0.00383835i | ||||
\(946\) | 40.5082 | − | 70.1623i | 1.31704 | − | 2.28117i | ||||
\(947\) | 13.2900 | − | 14.0866i | 0.431868 | − | 0.457753i | −0.474492 | − | 0.880260i | \(-0.657368\pi\) |
0.906360 | + | 0.422507i | \(0.138850\pi\) | |||||||
\(948\) | 12.0693 | + | 0.459222i | 0.391992 | + | 0.0149148i | ||||
\(949\) | 1.21766 | + | 20.9063i | 0.0395268 | + | 0.678649i | ||||
\(950\) | 24.2775 | − | 32.6104i | 0.787668 | − | 1.05802i | ||||
\(951\) | −5.94027 | − | 8.64713i | −0.192626 | − | 0.280402i | ||||
\(952\) | 1.96571 | + | 1.29287i | 0.0637090 | + | 0.0419021i | ||||
\(953\) | 1.98648 | − | 11.2659i | 0.0643484 | − | 0.364938i | −0.935582 | − | 0.353110i | \(-0.885124\pi\) |
0.999930 | − | 0.0118276i | \(-0.00376492\pi\) | |||||||
\(954\) | 31.1039 | + | 49.1850i | 1.00703 | + | 1.59242i | ||||
\(955\) | −0.0127507 | − | 0.0723128i | −0.000412603 | − | 0.00233999i | ||||
\(956\) | −9.50209 | + | 22.0283i | −0.307320 | + | 0.712447i | ||||
\(957\) | 51.2767 | + | 28.2428i | 1.65754 | + | 0.912961i | ||||
\(958\) | −72.5828 | + | 17.2024i | −2.34504 | + | 0.555786i | ||||
\(959\) | −4.36494 | − | 4.62657i | −0.140951 | − | 0.149400i | ||||
\(960\) | −0.109812 | + | 0.321730i | −0.00354416 | + | 0.0103838i | ||||
\(961\) | −13.1848 | − | 17.7102i | −0.425315 | − | 0.571297i | ||||
\(962\) | −23.7920 | + | 19.9638i | −0.767084 | + | 0.643660i | ||||
\(963\) | −8.82133 | − | 8.62582i | −0.284263 | − | 0.277963i | ||||
\(964\) | −33.4590 | − | 28.0754i | −1.07764 | − | 0.904248i | ||||
\(965\) | −0.0261167 | + | 0.448407i | −0.000840727 | + | 0.0144347i | ||||
\(966\) | 4.37297 | + | 3.12063i | 0.140698 | + | 0.100405i | ||||
\(967\) | −2.28298 | − | 5.29254i | −0.0734157 | − | 0.170197i | 0.877556 | − | 0.479473i | \(-0.159172\pi\) |
−0.950972 | + | 0.309277i | \(0.899913\pi\) | |||||||
\(968\) | 8.14392 | − | 5.35634i | 0.261756 | − | 0.172159i | ||||
\(969\) | 21.9042 | − | 17.0035i | 0.703665 | − | 0.546232i | ||||
\(970\) | −0.0810602 | − | 0.270760i | −0.00260269 | − | 0.00869358i | ||||
\(971\) | 4.83812 | 0.155263 | 0.0776313 | − | 0.996982i | \(-0.475264\pi\) | ||||
0.0776313 | + | 0.996982i | \(0.475264\pi\) | |||||||
\(972\) | −25.1899 | + | 23.0325i | −0.807965 | + | 0.738768i | ||||
\(973\) | −8.23596 | −0.264033 | ||||||||
\(974\) | 20.6094 | + | 68.8404i | 0.660369 | + | 2.20579i | ||||
\(975\) | 15.0280 | − | 11.6657i | 0.481280 | − | 0.373602i | ||||
\(976\) | −26.6705 | + | 17.5414i | −0.853701 | + | 0.561488i | ||||
\(977\) | −17.3215 | − | 40.1557i | −0.554163 | − | 1.28469i | −0.933215 | − | 0.359319i | \(-0.883009\pi\) |
0.379052 | − | 0.925375i | \(-0.376250\pi\) | |||||||
\(978\) | −15.0034 | − | 10.7067i | −0.479755 | − | 0.342361i | ||||
\(979\) | 3.53832 | − | 60.7506i | 0.113085 | − | 1.94160i | ||||
\(980\) | −0.165221 | − | 0.138637i | −0.00527779 | − | 0.00442860i | ||||
\(981\) | 27.7913 | − | 7.78146i | 0.887309 | − | 0.248443i | ||||
\(982\) | 39.2898 | − | 32.9680i | 1.25379 | − | 1.05205i | ||||
\(983\) | −25.2437 | − | 33.9082i | −0.805150 | − | 1.08150i | −0.995018 | − | 0.0996948i | \(-0.968213\pi\) |
0.189868 | − | 0.981810i | \(-0.439194\pi\) | |||||||
\(984\) | 1.06958 | − | 3.13369i | 0.0340971 | − | 0.0998985i | ||||
\(985\) | 0.236613 | + | 0.250795i | 0.00753912 | + | 0.00799100i | ||||
\(986\) | −45.1375 | + | 10.6978i | −1.43747 | + | 0.340687i | ||||
\(987\) | −30.8612 | − | 16.9981i | −0.982324 | − | 0.541057i | ||||
\(988\) | 7.56941 | − | 17.5479i | 0.240815 | − | 0.558272i | ||||
\(989\) | 1.15195 | + | 6.53305i | 0.0366300 | + | 0.207739i | ||||
\(990\) | −0.356632 | + | 0.679534i | −0.0113345 | + | 0.0215970i | ||||
\(991\) | −4.65706 | + | 26.4115i | −0.147936 | + | 0.838989i | 0.817026 | + | 0.576601i | \(0.195621\pi\) |
−0.964962 | + | 0.262388i | \(0.915490\pi\) | |||||||
\(992\) | −20.2474 | − | 13.3169i | −0.642855 | − | 0.422812i | ||||
\(993\) | −10.0195 | − | 14.5851i | −0.317958 | − | 0.462845i | ||||
\(994\) | −8.37001 | + | 11.2429i | −0.265481 | + | 0.356602i | ||||
\(995\) | 0.0249653 | + | 0.428638i | 0.000791453 | + | 0.0135887i | ||||
\(996\) | −6.36106 | − | 0.242031i | −0.201558 | − | 0.00766904i | ||||
\(997\) | −15.1727 | + | 16.0821i | −0.480523 | + | 0.509325i | −0.921598 | − | 0.388146i | \(-0.873116\pi\) |
0.441075 | + | 0.897470i | \(0.354597\pi\) | |||||||
\(998\) | −21.7006 | + | 37.5866i | −0.686922 | + | 1.18978i | ||||
\(999\) | −2.16783 | − | 35.8228i | −0.0685870 | − | 1.13338i |
(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 | 81.2.g.a.43.7 | ✓ | 144 | |
3.2 | odd | 2 | 243.2.g.a.46.2 | 144 | |||
9.2 | odd | 6 | 729.2.g.b.622.2 | 144 | |||
9.4 | even | 3 | 729.2.g.d.136.2 | 144 | |||
9.5 | odd | 6 | 729.2.g.a.136.7 | 144 | |||
9.7 | even | 3 | 729.2.g.c.622.7 | 144 | |||
81.5 | odd | 54 | 729.2.g.b.109.2 | 144 | |||
81.7 | even | 27 | 6561.2.a.c.1.13 | 72 | |||
81.22 | even | 27 | 729.2.g.d.595.2 | 144 | |||
81.32 | odd | 54 | 243.2.g.a.37.2 | 144 | |||
81.49 | even | 27 | inner | 81.2.g.a.49.7 | yes | 144 | |
81.59 | odd | 54 | 729.2.g.a.595.7 | 144 | |||
81.74 | odd | 54 | 6561.2.a.d.1.60 | 72 | |||
81.76 | even | 27 | 729.2.g.c.109.7 | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
81.2.g.a.43.7 | ✓ | 144 | 1.1 | even | 1 | trivial | |
81.2.g.a.49.7 | yes | 144 | 81.49 | even | 27 | inner | |
243.2.g.a.37.2 | 144 | 81.32 | odd | 54 | |||
243.2.g.a.46.2 | 144 | 3.2 | odd | 2 | |||
729.2.g.a.136.7 | 144 | 9.5 | odd | 6 | |||
729.2.g.a.595.7 | 144 | 81.59 | odd | 54 | |||
729.2.g.b.109.2 | 144 | 81.5 | odd | 54 | |||
729.2.g.b.622.2 | 144 | 9.2 | odd | 6 | |||
729.2.g.c.109.7 | 144 | 81.76 | even | 27 | |||
729.2.g.c.622.7 | 144 | 9.7 | even | 3 | |||
729.2.g.d.136.2 | 144 | 9.4 | even | 3 | |||
729.2.g.d.595.2 | 144 | 81.22 | even | 27 | |||
6561.2.a.c.1.13 | 72 | 81.7 | even | 27 | |||
6561.2.a.d.1.60 | 72 | 81.74 | odd | 54 |