Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [864,2,Mod(35,864)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(864, base_ring=CyclotomicField(24))
chi = DirichletCharacter(H, H._module([12, 9, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("864.35");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 864 = 2^{5} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 864.bn (of order \(24\), degree \(8\), not 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: | \(6.89907473464\) |
Analytic rank: | \(0\) |
Dimension: | \(368\) |
Relative dimension: | \(46\) over \(\Q(\zeta_{24})\) |
Twist minimal: | no (minimal twist has level 288) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{24}]$ |
Embedding invariants
Embedding label | 35.5 | ||
Character | \(\chi\) | \(=\) | 864.35 |
Dual form | 864.2.bn.a.395.5 |
$q$-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 \(\left(\mathbb{Z}/864\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(353\) | \(703\) |
\(\chi(n)\) | \(e\left(\frac{3}{8}\right)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.33268 | + | 0.473259i | −0.942344 | + | 0.334644i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.55205 | − | 1.26140i | 0.776026 | − | 0.630701i | ||||
\(5\) | 2.25126 | + | 1.72746i | 1.00680 | + | 0.772542i | 0.973914 | − | 0.226918i | \(-0.0728648\pi\) |
0.0328818 | + | 0.999459i | \(0.489532\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.665173 | + | 0.178233i | −0.251412 | + | 0.0673656i | −0.382324 | − | 0.924028i | \(-0.624876\pi\) |
0.130912 | + | 0.991394i | \(0.458209\pi\) | |||||||
\(8\) | −1.47141 | + | 2.41556i | −0.520223 | + | 0.854030i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −3.81774 | − | 1.23671i | −1.20728 | − | 0.391082i | ||||
\(11\) | −0.358825 | + | 2.72555i | −0.108190 | + | 0.821784i | 0.848197 | + | 0.529681i | \(0.177688\pi\) |
−0.956387 | + | 0.292103i | \(0.905645\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −5.62707 | + | 0.740818i | −1.56067 | + | 0.205466i | −0.860851 | − | 0.508856i | \(-0.830068\pi\) |
−0.699817 | + | 0.714322i | \(0.746735\pi\) | |||||||
\(14\) | 0.802110 | − | 0.552325i | 0.214373 | − | 0.147615i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.817733 | − | 3.91552i | 0.204433 | − | 0.978881i | ||||
\(17\) | −6.90574 | −1.67489 | −0.837444 | − | 0.546522i | \(-0.815951\pi\) | ||||
−0.837444 | + | 0.546522i | \(0.815951\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −2.38448 | − | 0.987682i | −0.547036 | − | 0.226590i | 0.0920101 | − | 0.995758i | \(-0.470671\pi\) |
−0.639046 | + | 0.769168i | \(0.720671\pi\) | |||||||
\(20\) | 5.67309 | − | 0.158646i | 1.26854 | − | 0.0354743i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.811692 | − | 3.80209i | −0.173053 | − | 0.810609i | ||||
\(23\) | −1.70613 | + | 6.36737i | −0.355753 | + | 1.32769i | 0.523782 | + | 0.851853i | \(0.324521\pi\) |
−0.879535 | + | 0.475835i | \(0.842146\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.789991 | + | 2.94829i | 0.157998 | + | 0.589657i | ||||
\(26\) | 7.14846 | − | 3.65033i | 1.40193 | − | 0.715889i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −0.807560 | + | 1.11568i | −0.152615 | + | 0.210843i | ||||
\(29\) | −5.76873 | − | 7.51796i | −1.07123 | − | 1.39605i | −0.912669 | − | 0.408700i | \(-0.865982\pi\) |
−0.158558 | − | 0.987350i | \(-0.550684\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 3.44542 | − | 1.98921i | 0.618815 | − | 0.357273i | −0.157592 | − | 0.987504i | \(-0.550373\pi\) |
0.776408 | + | 0.630231i | \(0.217040\pi\) | |||||||
\(32\) | 0.763282 | + | 5.60512i | 0.134930 | + | 0.990855i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 9.20312 | − | 3.26820i | 1.57832 | − | 0.560492i | ||||
\(35\) | −1.80537 | − | 0.747808i | −0.305163 | − | 0.126403i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0.725444 | + | 1.75138i | 0.119262 | + | 0.287925i | 0.972225 | − | 0.234047i | \(-0.0751968\pi\) |
−0.852963 | + | 0.521971i | \(0.825197\pi\) | |||||||
\(38\) | 3.64516 | + | 0.187787i | 0.591324 | + | 0.0304630i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −7.48532 | + | 2.89627i | −1.18353 | + | 0.457940i | ||||
\(41\) | −4.20094 | − | 1.12564i | −0.656077 | − | 0.175795i | −0.0846021 | − | 0.996415i | \(-0.526962\pi\) |
−0.571475 | + | 0.820620i | \(0.693629\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 10.4679 | + | 1.37812i | 1.59633 | + | 0.210161i | 0.875595 | − | 0.483046i | \(-0.160470\pi\) |
0.720739 | + | 0.693207i | \(0.243803\pi\) | |||||||
\(44\) | 2.88110 | + | 4.68282i | 0.434342 | + | 0.705962i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −0.739692 | − | 9.29308i | −0.109062 | − | 1.37019i | ||||
\(47\) | 6.13150 | + | 3.54002i | 0.894371 | + | 0.516365i | 0.875370 | − | 0.483454i | \(-0.160618\pi\) |
0.0190010 | + | 0.999819i | \(0.493951\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −5.65149 | + | 3.26289i | −0.807356 | + | 0.466127i | ||||
\(50\) | −2.44810 | − | 3.55524i | −0.346214 | − | 0.502787i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −7.79904 | + | 8.24778i | −1.08153 | + | 1.14376i | ||||
\(53\) | 0.365072 | + | 0.881362i | 0.0501465 | + | 0.121064i | 0.946968 | − | 0.321329i | \(-0.104130\pi\) |
−0.896821 | + | 0.442393i | \(0.854130\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −5.51608 | + | 5.51608i | −0.743788 | + | 0.743788i | ||||
\(56\) | 0.548213 | − | 1.86902i | 0.0732581 | − | 0.249758i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 11.2458 | + | 7.28890i | 1.47664 | + | 0.957080i | ||||
\(59\) | 0.148994 | − | 0.194173i | 0.0193974 | − | 0.0252792i | −0.783554 | − | 0.621324i | \(-0.786595\pi\) |
0.802951 | + | 0.596045i | \(0.203262\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 4.69833 | − | 3.60515i | 0.601559 | − | 0.461593i | −0.262535 | − | 0.964922i | \(-0.584559\pi\) |
0.864094 | + | 0.503330i | \(0.167892\pi\) | |||||||
\(62\) | −3.65021 | + | 4.28155i | −0.463577 | + | 0.543757i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −3.66988 | − | 7.10858i | −0.458735 | − | 0.888573i | ||||
\(65\) | −13.9477 | − | 8.05274i | −1.73001 | − | 0.998819i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −3.54169 | + | 0.466272i | −0.432686 | + | 0.0569642i | −0.343724 | − | 0.939071i | \(-0.611688\pi\) |
−0.0889622 | + | 0.996035i | \(0.528355\pi\) | |||||||
\(68\) | −10.7181 | + | 8.71092i | −1.29976 | + | 1.05635i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 2.75988 | + | 0.142180i | 0.329869 | + | 0.0169937i | ||||
\(71\) | 1.97464 | − | 1.97464i | 0.234346 | − | 0.234346i | −0.580158 | − | 0.814504i | \(-0.697009\pi\) |
0.814504 | + | 0.580158i | \(0.197009\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 0.741298 | + | 0.741298i | 0.0867624 | + | 0.0867624i | 0.749156 | − | 0.662394i | \(-0.230459\pi\) |
−0.662394 | + | 0.749156i | \(0.730459\pi\) | |||||||
\(74\) | −1.79564 | − | 1.99070i | −0.208739 | − | 0.231414i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −4.94669 | + | 1.47485i | −0.567425 | + | 0.169176i | ||||
\(77\) | −0.247101 | − | 1.87692i | −0.0281597 | − | 0.213894i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −4.86357 | + | 8.42396i | −0.547195 | + | 0.947769i | 0.451270 | + | 0.892387i | \(0.350971\pi\) |
−0.998465 | + | 0.0553821i | \(0.982362\pi\) | |||||||
\(80\) | 8.60482 | − | 7.40228i | 0.962048 | − | 0.827600i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 6.13122 | − | 0.488020i | 0.677079 | − | 0.0538928i | ||||
\(83\) | −0.212004 | − | 0.276289i | −0.0232705 | − | 0.0303267i | 0.781573 | − | 0.623814i | \(-0.214418\pi\) |
−0.804844 | + | 0.593487i | \(0.797751\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −15.5467 | − | 11.9294i | −1.68627 | − | 1.29392i | ||||
\(86\) | −14.6025 | + | 3.11742i | −1.57463 | + | 0.336160i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −6.05575 | − | 4.87718i | −0.645546 | − | 0.519909i | ||||
\(89\) | −2.50973 | − | 2.50973i | −0.266031 | − | 0.266031i | 0.561468 | − | 0.827499i | \(-0.310237\pi\) |
−0.827499 | + | 0.561468i | \(0.810237\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 3.61094 | − | 1.49570i | 0.378529 | − | 0.156792i | ||||
\(92\) | 5.38380 | + | 12.0346i | 0.561300 | + | 1.25469i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −9.84665 | − | 1.81592i | −1.01560 | − | 0.187298i | ||||
\(95\) | −3.66191 | − | 6.34261i | −0.375704 | − | 0.650738i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −2.87742 | + | 4.98384i | −0.292158 | + | 0.506033i | −0.974320 | − | 0.225169i | \(-0.927707\pi\) |
0.682162 | + | 0.731201i | \(0.261040\pi\) | |||||||
\(98\) | 5.98742 | − | 7.02299i | 0.604820 | − | 0.709429i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 4.94508 | + | 3.57940i | 0.494508 | + | 0.357940i | ||||
\(101\) | −0.864700 | + | 6.56805i | −0.0860409 | + | 0.653545i | 0.893026 | + | 0.450006i | \(0.148578\pi\) |
−0.979067 | + | 0.203540i | \(0.934755\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 0.105943 | − | 0.395385i | 0.0104389 | − | 0.0389585i | −0.960510 | − | 0.278246i | \(-0.910247\pi\) |
0.970949 | + | 0.239287i | \(0.0769137\pi\) | |||||||
\(104\) | 6.49026 | − | 14.6826i | 0.636422 | − | 1.43975i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −0.903635 | − | 1.00180i | −0.0877688 | − | 0.0973031i | ||||
\(107\) | −15.0654 | + | 6.24030i | −1.45643 | + | 0.603272i | −0.963718 | − | 0.266921i | \(-0.913994\pi\) |
−0.492710 | + | 0.870194i | \(0.663994\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −2.99282 | + | 7.22530i | −0.286660 | + | 0.692058i | −0.999961 | − | 0.00879943i | \(-0.997199\pi\) |
0.713302 | + | 0.700857i | \(0.247199\pi\) | |||||||
\(110\) | 4.74061 | − | 9.96168i | 0.452000 | − | 0.949809i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0.153940 | + | 2.75025i | 0.0145459 | + | 0.259874i | ||||
\(113\) | 8.07055 | + | 13.9786i | 0.759213 | + | 1.31500i | 0.943252 | + | 0.332077i | \(0.107749\pi\) |
−0.184039 | + | 0.982919i | \(0.558917\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −14.8403 | + | 11.3874i | −1.38386 | + | 1.06188i | ||||
\(116\) | −18.4365 | − | 4.39158i | −1.71179 | − | 0.407748i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −0.106667 | + | 0.329282i | −0.00981948 | + | 0.0303129i | ||||
\(119\) | 4.59351 | − | 1.23083i | 0.421087 | − | 0.112830i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 3.32532 | + | 0.891016i | 0.302302 | + | 0.0810015i | ||||
\(122\) | −4.55518 | + | 7.02803i | −0.412407 | + | 0.636288i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 2.83827 | − | 7.43341i | 0.254884 | − | 0.667540i | ||||
\(125\) | 2.11506 | − | 5.10622i | 0.189177 | − | 0.456714i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | − | 6.33134i | − | 0.561815i | −0.959735 | − | 0.280908i | \(-0.909365\pi\) | ||
0.959735 | − | 0.280908i | \(-0.0906355\pi\) | |||||||
\(128\) | 8.25496 | + | 7.73664i | 0.729643 | + | 0.683829i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 22.3989 | + | 4.13080i | 1.96451 | + | 0.362295i | ||||
\(131\) | −1.59079 | − | 12.0833i | −0.138988 | − | 1.05572i | −0.908736 | − | 0.417372i | \(-0.862951\pi\) |
0.769747 | − | 0.638349i | \(-0.220382\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 1.76213 | + | 0.231988i | 0.152796 | + | 0.0201159i | ||||
\(134\) | 4.49926 | − | 2.29752i | 0.388676 | − | 0.198476i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 10.1612 | − | 16.6813i | 0.871317 | − | 1.43041i | ||||
\(137\) | 2.09601 | + | 7.82241i | 0.179074 | + | 0.668314i | 0.995822 | + | 0.0913185i | \(0.0291081\pi\) |
−0.816748 | + | 0.576995i | \(0.804225\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −0.983954 | + | 1.28231i | −0.0834579 | + | 0.108764i | −0.833216 | − | 0.552947i | \(-0.813503\pi\) |
0.749758 | + | 0.661712i | \(0.230170\pi\) | |||||||
\(140\) | −3.74531 | + | 1.11666i | −0.316537 | + | 0.0943747i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −1.69704 | + | 3.56607i | −0.142412 | + | 0.299258i | ||||
\(143\) | − | 15.6027i | − | 1.30476i | ||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | − | 26.8901i | − | 2.23310i | ||||||
\(146\) | −1.33874 | − | 0.637085i | −0.110795 | − | 0.0527255i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 3.33512 | + | 1.80315i | 0.274145 | + | 0.148218i | ||||
\(149\) | 1.27617 | − | 1.66314i | 0.104548 | − | 0.136249i | −0.738149 | − | 0.674638i | \(-0.764300\pi\) |
0.842697 | + | 0.538388i | \(0.180967\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 3.27641 | + | 12.2277i | 0.266630 | + | 0.995077i | 0.961245 | + | 0.275696i | \(0.0889082\pi\) |
−0.694615 | + | 0.719382i | \(0.744425\pi\) | |||||||
\(152\) | 5.89436 | − | 4.30656i | 0.478096 | − | 0.349308i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 1.21757 | + | 2.38438i | 0.0981148 | + | 0.192139i | ||||
\(155\) | 11.1928 | + | 1.47356i | 0.899029 | + | 0.118359i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 0.658648 | + | 5.00293i | 0.0525658 | + | 0.399277i | 0.997420 | + | 0.0717858i | \(0.0228698\pi\) |
−0.944854 | + | 0.327491i | \(0.893797\pi\) | |||||||
\(158\) | 2.49486 | − | 13.5281i | 0.198480 | − | 1.07624i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −7.96425 | + | 13.9371i | −0.629629 | + | 1.10183i | ||||
\(161\) | − | 4.53949i | − | 0.357762i | ||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −2.58256 | + | 6.23486i | −0.202282 | + | 0.488352i | −0.992169 | − | 0.124900i | \(-0.960139\pi\) |
0.789887 | + | 0.613252i | \(0.210139\pi\) | |||||||
\(164\) | −7.93997 | + | 3.55202i | −0.620007 | + | 0.277366i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0.413289 | + | 0.267871i | 0.0320775 | + | 0.0207908i | ||||
\(167\) | 21.1569 | + | 5.66896i | 1.63717 | + | 0.438678i | 0.955980 | − | 0.293432i | \(-0.0947974\pi\) |
0.681187 | + | 0.732109i | \(0.261464\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 18.5581 | − | 4.97262i | 1.42754 | − | 0.382509i | ||||
\(170\) | 26.3643 | + | 8.54039i | 2.02205 | + | 0.655018i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 17.9850 | − | 11.0653i | 1.37135 | − | 0.843718i | ||||
\(173\) | 7.68421 | − | 5.89630i | 0.584219 | − | 0.448287i | −0.273885 | − | 0.961762i | \(-0.588309\pi\) |
0.858105 | + | 0.513475i | \(0.171642\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −1.05096 | − | 1.82032i | −0.0794452 | − | 0.137603i | ||||
\(176\) | 10.3785 | + | 3.63376i | 0.782311 | + | 0.273905i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 4.53241 | + | 2.15691i | 0.339719 | + | 0.161667i | ||||
\(179\) | −7.98790 | + | 19.2845i | −0.597043 | + | 1.44139i | 0.279537 | + | 0.960135i | \(0.409819\pi\) |
−0.876580 | + | 0.481256i | \(0.840181\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 0.663688 | − | 0.274908i | 0.0493315 | − | 0.0204338i | −0.357881 | − | 0.933767i | \(-0.616501\pi\) |
0.407213 | + | 0.913333i | \(0.366501\pi\) | |||||||
\(182\) | −4.10436 | + | 3.70219i | −0.304235 | + | 0.274425i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −12.8703 | − | 13.4903i | −0.948814 | − | 0.994518i | ||||
\(185\) | −1.39226 | + | 5.19598i | −0.102361 | + | 0.382016i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 2.47796 | − | 18.8219i | 0.181206 | − | 1.37640i | ||||
\(188\) | 13.9818 | − | 2.23998i | 1.01973 | − | 0.163367i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 7.88183 | + | 6.71961i | 0.571808 | + | 0.487492i | ||||
\(191\) | −2.72351 | + | 4.71725i | −0.197066 | + | 0.341328i | −0.947576 | − | 0.319531i | \(-0.896475\pi\) |
0.750510 | + | 0.660859i | \(0.229808\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 2.75978 | + | 4.78007i | 0.198653 | + | 0.344077i | 0.948092 | − | 0.317996i | \(-0.103010\pi\) |
−0.749439 | + | 0.662074i | \(0.769677\pi\) | |||||||
\(194\) | 1.47603 | − | 8.00362i | 0.105973 | − | 0.574626i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −4.65559 | + | 12.1930i | −0.332542 | + | 0.870927i | ||||
\(197\) | −12.2289 | + | 5.06537i | −0.871272 | + | 0.360893i | −0.773106 | − | 0.634277i | \(-0.781298\pi\) |
−0.0981665 | + | 0.995170i | \(0.531298\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 6.95404 | + | 6.95404i | 0.492959 | + | 0.492959i | 0.909237 | − | 0.416278i | \(-0.136666\pi\) |
−0.416278 | + | 0.909237i | \(0.636666\pi\) | |||||||
\(200\) | −8.28417 | − | 2.42988i | −0.585779 | − | 0.171818i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −1.95602 | − | 9.16231i | −0.137625 | − | 0.644658i | ||||
\(203\) | 5.17715 | + | 3.97257i | 0.363365 | + | 0.278820i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −7.51294 | − | 9.79105i | −0.524726 | − | 0.683837i | ||||
\(206\) | 0.0459316 | + | 0.577059i | 0.00320021 | + | 0.0402056i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −1.70075 | + | 22.6387i | −0.117926 | + | 1.56971i | ||||
\(209\) | 3.54759 | − | 6.14460i | 0.245392 | − | 0.425031i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 3.46120 | + | 26.2905i | 0.238279 | + | 1.80991i | 0.524133 | + | 0.851637i | \(0.324390\pi\) |
−0.285854 | + | 0.958273i | \(0.592277\pi\) | |||||||
\(212\) | 1.67836 | + | 0.907417i | 0.115270 | + | 0.0623217i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 17.1240 | − | 15.4461i | 1.17058 | − | 1.05588i | ||||
\(215\) | 21.1853 | + | 21.1853i | 1.44482 | + | 1.44482i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −1.93726 | + | 1.93726i | −0.131509 | + | 0.131509i | ||||
\(218\) | 0.569020 | − | 11.0454i | 0.0385389 | − | 0.748086i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −1.60325 | + | 15.5192i | −0.108091 | + | 1.04631i | ||||
\(221\) | 38.8591 | − | 5.11590i | 2.61395 | − | 0.344133i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −8.56303 | − | 4.94387i | −0.573423 | − | 0.331066i | 0.185092 | − | 0.982721i | \(-0.440742\pi\) |
−0.758515 | + | 0.651655i | \(0.774075\pi\) | |||||||
\(224\) | −1.50673 | − | 3.59233i | −0.100673 | − | 0.240023i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −17.3709 | − | 14.8095i | −1.15550 | − | 0.985112i | ||||
\(227\) | 3.33189 | − | 2.55665i | 0.221145 | − | 0.169691i | −0.492247 | − | 0.870455i | \(-0.663824\pi\) |
0.713392 | + | 0.700765i | \(0.247158\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 6.58129 | − | 8.57691i | 0.434904 | − | 0.566778i | −0.523561 | − | 0.851988i | \(-0.675397\pi\) |
0.958465 | + | 0.285210i | \(0.0920634\pi\) | |||||||
\(230\) | 14.3881 | − | 22.1990i | 0.948726 | − | 1.46376i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 26.6483 | − | 2.87270i | 1.74955 | − | 0.188602i | ||||
\(233\) | −10.6338 | + | 10.6338i | −0.696643 | + | 0.696643i | −0.963685 | − | 0.267042i | \(-0.913954\pi\) |
0.267042 | + | 0.963685i | \(0.413954\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 7.68839 | + | 18.5614i | 0.501535 | + | 1.21081i | ||||
\(236\) | −0.0136833 | − | 0.489308i | −0.000890708 | − | 0.0318512i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −5.53917 | + | 3.81422i | −0.359051 | + | 0.247239i | ||||
\(239\) | 18.4321 | − | 10.6418i | 1.19227 | − | 0.688360i | 0.233453 | − | 0.972368i | \(-0.424998\pi\) |
0.958822 | + | 0.284008i | \(0.0916643\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 16.5010 | + | 9.52685i | 1.06292 | + | 0.613679i | 0.926239 | − | 0.376936i | \(-0.123022\pi\) |
0.136683 | + | 0.990615i | \(0.456356\pi\) | |||||||
\(242\) | −4.85325 | + | 0.386300i | −0.311979 | + | 0.0248323i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 2.74450 | − | 11.5219i | 0.175699 | − | 0.737612i | ||||
\(245\) | −18.3595 | − | 2.41707i | −1.17294 | − | 0.154421i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 14.1493 | + | 3.79129i | 0.900298 | + | 0.241234i | ||||
\(248\) | −0.264569 | + | 11.2496i | −0.0168002 | + | 0.714349i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −0.402134 | + | 7.80591i | −0.0254332 | + | 0.493689i | ||||
\(251\) | −3.99971 | − | 9.65617i | −0.252460 | − | 0.609492i | 0.745942 | − | 0.666011i | \(-0.232000\pi\) |
−0.998401 | + | 0.0565194i | \(0.982000\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −16.7424 | − | 6.93492i | −1.05258 | − | 0.435994i | ||||
\(254\) | 2.99636 | + | 8.43762i | 0.188008 | + | 0.529424i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −14.6626 | − | 6.40370i | −0.916414 | − | 0.400231i | ||||
\(257\) | −15.3667 | + | 8.87198i | −0.958550 | + | 0.553419i | −0.895726 | − | 0.444606i | \(-0.853344\pi\) |
−0.0628236 | + | 0.998025i | \(0.520011\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −0.794698 | − | 1.03567i | −0.0493801 | − | 0.0643535i | ||||
\(260\) | −31.8054 | + | 5.09544i | −1.97248 | + | 0.316006i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 7.83853 | + | 15.3502i | 0.484266 | + | 0.948341i | ||||
\(263\) | −4.66995 | − | 17.4285i | −0.287961 | − | 1.07469i | −0.946648 | − | 0.322269i | \(-0.895554\pi\) |
0.658687 | − | 0.752417i | \(-0.271112\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −0.700640 | + | 2.61482i | −0.0430400 | + | 0.160627i | ||||
\(266\) | −2.45813 | + | 0.524776i | −0.150718 | + | 0.0321761i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −4.90873 | + | 5.19117i | −0.299848 | + | 0.317101i | ||||
\(269\) | −17.7192 | − | 7.33955i | −1.08036 | − | 0.447500i | −0.229725 | − | 0.973256i | \(-0.573783\pi\) |
−0.850636 | + | 0.525755i | \(0.823783\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 17.7624 | 1.07899 | 0.539496 | − | 0.841988i | \(-0.318615\pi\) | ||||
0.539496 | + | 0.841988i | \(0.318615\pi\) | |||||||
\(272\) | −5.64705 | + | 27.0396i | −0.342403 | + | 1.63952i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −6.49532 | − | 9.43279i | −0.392397 | − | 0.569855i | ||||
\(275\) | −8.31917 | + | 1.09524i | −0.501665 | + | 0.0660454i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 3.89595 | − | 29.5927i | 0.234085 | − | 1.77805i | −0.321816 | − | 0.946802i | \(-0.604293\pi\) |
0.555901 | − | 0.831249i | \(-0.312373\pi\) | |||||||
\(278\) | 0.704426 | − | 2.17457i | 0.0422486 | − | 0.130422i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 4.46282 | − | 3.26064i | 0.266705 | − | 0.194861i | ||||
\(281\) | −8.44615 | + | 2.26314i | −0.503855 | + | 0.135008i | −0.501789 | − | 0.864990i | \(-0.667324\pi\) |
−0.00206658 | + | 0.999998i | \(0.500658\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 13.9045 | + | 10.6693i | 0.826534 | + | 0.634222i | 0.932912 | − | 0.360104i | \(-0.117259\pi\) |
−0.106378 | + | 0.994326i | \(0.533925\pi\) | |||||||
\(284\) | 0.573930 | − | 5.55555i | 0.0340565 | − | 0.329661i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 7.38411 | + | 20.7933i | 0.436631 | + | 1.22954i | ||||
\(287\) | 2.99498 | 0.176788 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 30.6893 | 1.80525 | ||||||||
\(290\) | 12.7260 | + | 35.8358i | 0.747296 | + | 2.10435i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 2.08561 | + | 0.215459i | 0.122051 | + | 0.0126088i | ||||
\(293\) | −19.6836 | − | 15.1038i | −1.14993 | − | 0.882371i | −0.155505 | − | 0.987835i | \(-0.549701\pi\) |
−0.994423 | + | 0.105464i | \(0.966367\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0.670850 | − | 0.179754i | 0.0390584 | − | 0.0104657i | ||||
\(296\) | −5.29799 | − | 0.824646i | −0.307939 | − | 0.0479316i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −0.913626 | + | 2.82038i | −0.0529250 | + | 0.163380i | ||||
\(299\) | 4.88346 | − | 37.0935i | 0.282418 | − | 2.14517i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −7.20856 | + | 0.949025i | −0.415495 | + | 0.0547009i | ||||
\(302\) | −10.1533 | − | 14.7450i | −0.584255 | − | 0.848479i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −5.81715 | + | 8.52881i | −0.333637 | + | 0.489161i | ||||
\(305\) | 16.8049 | 0.962247 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −19.8889 | − | 8.23823i | −1.13512 | − | 0.470181i | −0.265600 | − | 0.964083i | \(-0.585570\pi\) |
−0.869517 | + | 0.493903i | \(0.835570\pi\) | |||||||
\(308\) | −2.75106 | − | 2.60138i | −0.156756 | − | 0.148227i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −15.6138 | + | 3.33332i | −0.886803 | + | 0.189320i | ||||
\(311\) | −2.04169 | + | 7.61971i | −0.115774 | + | 0.432074i | −0.999344 | − | 0.0362256i | \(-0.988467\pi\) |
0.883570 | + | 0.468300i | \(0.155133\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 4.61577 | + | 17.2263i | 0.260899 | + | 0.973687i | 0.964713 | + | 0.263303i | \(0.0848120\pi\) |
−0.703814 | + | 0.710384i | \(0.748521\pi\) | |||||||
\(314\) | −3.24544 | − | 6.35557i | −0.183151 | − | 0.358666i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 3.07747 | + | 19.2093i | 0.173121 | + | 1.08061i | ||||
\(317\) | −15.7983 | − | 20.5887i | −0.887321 | − | 1.15638i | −0.986897 | − | 0.161349i | \(-0.948415\pi\) |
0.0995765 | − | 0.995030i | \(-0.468251\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 22.5605 | − | 13.0253i | 1.26315 | − | 0.729279i | ||||
\(320\) | 4.01789 | − | 22.3429i | 0.224607 | − | 1.24900i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 2.14835 | + | 6.04967i | 0.119723 | + | 0.337135i | ||||
\(323\) | 16.4666 | + | 6.82068i | 0.916225 | + | 0.379513i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −6.62948 | − | 16.0050i | −0.367737 | − | 0.887796i | ||||
\(326\) | 0.491019 | − | 9.53127i | 0.0271950 | − | 0.527888i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 8.90038 | − | 8.49136i | 0.491441 | − | 0.468857i | ||||
\(329\) | −4.70945 | − | 1.26189i | −0.259640 | − | 0.0695705i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −13.2365 | − | 1.74262i | −0.727545 | − | 0.0957831i | −0.242350 | − | 0.970189i | \(-0.577918\pi\) |
−0.485195 | + | 0.874406i | \(0.661251\pi\) | |||||||
\(332\) | −0.677553 | − | 0.161393i | −0.0371856 | − | 0.00885759i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −30.8781 | + | 2.45778i | −1.68958 | + | 0.134483i | ||||
\(335\) | −8.77874 | − | 5.06841i | −0.479634 | − | 0.276917i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −25.0098 | + | 14.4394i | −1.36237 | + | 0.786566i | −0.989939 | − | 0.141493i | \(-0.954810\pi\) |
−0.372433 | + | 0.928059i | \(0.621476\pi\) | |||||||
\(338\) | −22.3786 | + | 15.4097i | −1.21723 | + | 0.838175i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −39.1769 | + | 1.09557i | −2.12467 | + | 0.0594156i | ||||
\(341\) | 4.18539 | + | 10.1044i | 0.226652 | + | 0.547186i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 6.58625 | − | 6.58625i | 0.355624 | − | 0.355624i | ||||
\(344\) | −18.7315 | + | 23.2580i | −1.00993 | + | 1.25399i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −7.45009 | + | 11.4945i | −0.400519 | + | 0.617947i | ||||
\(347\) | −4.02705 | + | 5.24815i | −0.216183 | + | 0.281736i | −0.888839 | − | 0.458220i | \(-0.848487\pi\) |
0.672655 | + | 0.739956i | \(0.265154\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 11.3771 | − | 8.72997i | 0.609003 | − | 0.467304i | −0.257635 | − | 0.966242i | \(-0.582943\pi\) |
0.866638 | + | 0.498938i | \(0.166276\pi\) | |||||||
\(350\) | 2.26207 | + | 1.92852i | 0.120913 | + | 0.103084i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −15.5509 | + | 0.0691018i | −0.828867 | + | 0.00368314i | ||||
\(353\) | 32.2434 | + | 18.6157i | 1.71614 | + | 0.990816i | 0.925681 | + | 0.378305i | \(0.123493\pi\) |
0.790462 | + | 0.612511i | \(0.209840\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 7.85653 | − | 1.03433i | 0.416981 | − | 0.0548966i | ||||
\(356\) | −7.06101 | − | 0.729456i | −0.374233 | − | 0.0386611i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 1.51873 | − | 29.4803i | 0.0802673 | − | 1.55808i | ||||
\(359\) | 10.7189 | − | 10.7189i | 0.565724 | − | 0.565724i | −0.365204 | − | 0.930928i | \(-0.619001\pi\) |
0.930928 | + | 0.365204i | \(0.119001\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −8.72482 | − | 8.72482i | −0.459201 | − | 0.459201i | ||||
\(362\) | −0.754378 | + | 0.680460i | −0.0396492 | + | 0.0357642i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 3.71769 | − | 6.87624i | 0.194860 | − | 0.360413i | ||||
\(365\) | 0.388298 | + | 2.94942i | 0.0203244 | + | 0.154380i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 10.1421 | − | 17.5667i | 0.529414 | − | 0.916972i | −0.469997 | − | 0.882668i | \(-0.655745\pi\) |
0.999411 | − | 0.0343043i | \(-0.0109215\pi\) | |||||||
\(368\) | 23.5364 | + | 11.8872i | 1.22692 | + | 0.619663i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −0.603613 | − | 7.58346i | −0.0313804 | − | 0.394246i | ||||
\(371\) | −0.399923 | − | 0.521190i | −0.0207630 | − | 0.0270589i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −0.800414 | − | 0.614179i | −0.0414439 | − | 0.0318010i | 0.587832 | − | 0.808983i | \(-0.299982\pi\) |
−0.629276 | + | 0.777182i | \(0.716648\pi\) | |||||||
\(374\) | 5.60534 | + | 26.2563i | 0.289845 | + | 1.35768i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −17.5731 | + | 9.60217i | −0.906264 | + | 0.495194i | ||||
\(377\) | 38.0305 | + | 38.0305i | 1.95867 | + | 1.95867i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −18.0664 | + | 7.48335i | −0.928009 | + | 0.384394i | −0.794923 | − | 0.606711i | \(-0.792489\pi\) |
−0.133086 | + | 0.991104i | \(0.542489\pi\) | |||||||
\(380\) | −13.6840 | − | 5.22493i | −0.701977 | − | 0.268033i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 1.39707 | − | 7.57550i | 0.0714804 | − | 0.387596i | ||||
\(383\) | −6.74390 | − | 11.6808i | −0.344597 | − | 0.596860i | 0.640683 | − | 0.767805i | \(-0.278651\pi\) |
−0.985280 | + | 0.170945i | \(0.945318\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 2.68600 | − | 4.65229i | 0.136891 | − | 0.237103i | ||||
\(386\) | −5.94010 | − | 5.06420i | −0.302343 | − | 0.257761i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 1.82072 | + | 11.3648i | 0.0924328 | + | 0.576959i | ||||
\(389\) | −0.811153 | + | 6.16132i | −0.0411271 | + | 0.312391i | 0.958500 | + | 0.285092i | \(0.0920241\pi\) |
−0.999627 | + | 0.0272994i | \(0.991309\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 11.7821 | − | 43.9714i | 0.595846 | − | 2.22373i | ||||
\(392\) | 0.433971 | − | 18.4526i | 0.0219188 | − | 0.931996i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 13.8999 | − | 12.5379i | 0.700268 | − | 0.631652i | ||||
\(395\) | −25.5012 | + | 10.5629i | −1.28310 | + | 0.531479i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 4.30849 | − | 10.4016i | 0.216237 | − | 0.522042i | −0.778122 | − | 0.628113i | \(-0.783827\pi\) |
0.994358 | + | 0.106072i | \(0.0338274\pi\) | |||||||
\(398\) | −12.5585 | − | 5.97643i | −0.629503 | − | 0.299571i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 12.1901 | − | 0.682316i | 0.609504 | − | 0.0341158i | ||||
\(401\) | −5.13657 | − | 8.89679i | −0.256508 | − | 0.444285i | 0.708796 | − | 0.705413i | \(-0.249239\pi\) |
−0.965304 | + | 0.261129i | \(0.915905\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −17.9140 | + | 13.7459i | −0.892358 | + | 0.684730i | ||||
\(404\) | 6.94289 | + | 11.2847i | 0.345422 | + | 0.561434i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −8.77952 | − | 2.84401i | −0.435720 | − | 0.141146i | ||||
\(407\) | −5.03377 | + | 1.34880i | −0.249515 | + | 0.0668573i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 11.4231 | + | 3.06082i | 0.564838 | + | 0.151348i | 0.529928 | − | 0.848042i | \(-0.322219\pi\) |
0.0349101 | + | 0.999390i | \(0.488886\pi\) | |||||||
\(410\) | 14.6460 | + | 9.49274i | 0.723315 | + | 0.468813i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −0.334310 | − | 0.747295i | −0.0164703 | − | 0.0368166i | ||||
\(413\) | −0.0644989 | + | 0.155714i | −0.00317378 | + | 0.00766219i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | − | 0.988227i | − | 0.0485102i | ||||||
\(416\) | −8.44741 | − | 30.9750i | −0.414169 | − | 1.51867i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −1.81980 | + | 9.86769i | −0.0890093 | + | 0.482645i | ||||
\(419\) | 2.25237 | + | 17.1084i | 0.110035 | + | 0.835802i | 0.954085 | + | 0.299537i | \(0.0968321\pi\) |
−0.844049 | + | 0.536266i | \(0.819835\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −36.2572 | − | 4.77334i | −1.76707 | − | 0.232639i | −0.824314 | − | 0.566133i | \(-0.808439\pi\) |
−0.942752 | + | 0.333495i | \(0.891772\pi\) | |||||||
\(422\) | −17.0549 | − | 33.3986i | −0.830217 | − | 1.62582i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −2.66616 | − | 0.414994i | −0.129480 | − | 0.0201539i | ||||
\(425\) | −5.45548 | − | 20.3601i | −0.264629 | − | 0.987610i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −2.48264 | + | 3.23545i | −0.120144 | + | 0.156574i | ||||
\(428\) | −15.5108 | + | 28.6888i | −0.749742 | + | 1.38673i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −38.2592 | − | 18.2070i | −1.84502 | − | 0.878019i | ||||
\(431\) | 12.9990i | 0.626138i | 0.949730 | + | 0.313069i | \(0.101357\pi\) | ||||
−0.949730 | + | 0.313069i | \(0.898643\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − | 5.96852i | − | 0.286829i | −0.989663 | − | 0.143414i | \(-0.954192\pi\) | ||
0.989663 | − | 0.143414i | \(-0.0458081\pi\) | |||||||
\(434\) | 1.66491 | − | 3.49856i | 0.0799183 | − | 0.167936i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 4.46899 | + | 14.9892i | 0.214026 | + | 0.717851i | ||||
\(437\) | 10.3572 | − | 13.4977i | 0.495450 | − | 0.645683i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −3.10344 | − | 11.5822i | −0.148119 | − | 0.552789i | −0.999597 | − | 0.0283974i | \(-0.990960\pi\) |
0.851477 | − | 0.524391i | \(-0.175707\pi\) | |||||||
\(440\) | −5.20799 | − | 21.4409i | −0.248281 | − | 1.02215i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −49.3655 | + | 25.2082i | −2.34808 | + | 1.19903i | ||||
\(443\) | 4.71979 | + | 0.621372i | 0.224244 | + | 0.0295223i | 0.241811 | − | 0.970323i | \(-0.422259\pi\) |
−0.0175669 | + | 0.999846i | \(0.505592\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −1.31462 | − | 9.98552i | −0.0623189 | − | 0.473359i | ||||
\(446\) | 13.7515 | + | 2.53605i | 0.651151 | + | 0.120085i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 3.70809 | + | 4.07435i | 0.175191 | + | 0.192495i | ||||
\(449\) | − | 40.2152i | − | 1.89787i | −0.315464 | − | 0.948937i | \(-0.602160\pi\) | ||
0.315464 | − | 0.948937i | \(-0.397840\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 4.57539 | − | 11.0460i | 0.215447 | − | 0.520134i | ||||
\(452\) | 30.1585 | + | 11.5153i | 1.41854 | + | 0.541635i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −3.23037 | + | 4.98403i | −0.151609 | + | 0.233912i | ||||
\(455\) | 10.7129 | + | 2.87052i | 0.502230 | + | 0.134572i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −36.0382 | + | 9.65641i | −1.68580 | + | 0.451708i | −0.969300 | − | 0.245883i | \(-0.920922\pi\) |
−0.716497 | + | 0.697590i | \(0.754256\pi\) | |||||||
\(458\) | −4.71164 | + | 14.5449i | −0.220160 | + | 0.679638i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −8.66888 | + | 36.3933i | −0.404189 | + | 1.69685i | ||||
\(461\) | −1.29260 | + | 0.991849i | −0.0602025 | + | 0.0461950i | −0.638424 | − | 0.769685i | \(-0.720413\pi\) |
0.578222 | + | 0.815880i | \(0.303747\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 4.71907 | + | 8.17367i | 0.219314 | + | 0.379863i | 0.954598 | − | 0.297896i | \(-0.0962848\pi\) |
−0.735285 | + | 0.677758i | \(0.762951\pi\) | |||||||
\(464\) | −34.1540 | + | 16.4399i | −1.58556 | + | 0.763204i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 9.13887 | − | 19.2039i | 0.423350 | − | 0.889605i | ||||
\(467\) | −1.35853 | + | 3.27978i | −0.0628653 | + | 0.151770i | −0.952190 | − | 0.305505i | \(-0.901175\pi\) |
0.889325 | + | 0.457275i | \(0.151175\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 2.27273 | − | 0.941395i | 0.104945 | − | 0.0434696i | ||||
\(470\) | −19.0305 | − | 21.0978i | −0.877810 | − | 0.973167i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 0.249805 | + | 0.645613i | 0.0114982 | + | 0.0297168i | ||||
\(473\) | −7.51227 | + | 28.0362i | −0.345414 | + | 1.28910i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 1.02826 | − | 7.81038i | 0.0471796 | − | 0.358365i | ||||
\(476\) | 5.57681 | − | 7.70458i | 0.255612 | − | 0.353139i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −19.5277 | + | 22.9052i | −0.893177 | + | 1.04766i | ||||
\(479\) | −14.3663 | + | 24.8831i | −0.656413 | + | 1.13694i | 0.325125 | + | 0.945671i | \(0.394594\pi\) |
−0.981538 | + | 0.191269i | \(0.938740\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −5.37958 | − | 9.31770i | −0.245288 | − | 0.424851i | ||||
\(482\) | −26.4991 | − | 4.88697i | −1.20700 | − | 0.222595i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 6.28500 | − | 2.81166i | 0.285682 | − | 0.127803i | ||||
\(485\) | −15.0872 | + | 6.24933i | −0.685075 | + | 0.283767i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 6.97840 | + | 6.97840i | 0.316222 | + | 0.316222i | 0.847314 | − | 0.531092i | \(-0.178218\pi\) |
−0.531092 | + | 0.847314i | \(0.678218\pi\) | |||||||
\(488\) | 1.79529 | + | 16.6538i | 0.0812688 | + | 0.753881i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 25.6112 | − | 5.46761i | 1.15699 | − | 0.247002i | ||||
\(491\) | 15.7323 | + | 12.0718i | 0.709989 | + | 0.544794i | 0.899412 | − | 0.437102i | \(-0.143995\pi\) |
−0.189423 | + | 0.981896i | \(0.560662\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 39.8374 | + | 51.9171i | 1.79419 | + | 2.33823i | ||||
\(494\) | −20.6507 | + | 1.64371i | −0.929119 | + | 0.0739541i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −4.97137 | − | 15.1172i | −0.223221 | − | 0.678784i | ||||
\(497\) | −0.961531 | + | 1.66542i | −0.0431306 | + | 0.0747043i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −2.16974 | − | 16.4808i | −0.0971310 | − | 0.737783i | −0.968827 | − | 0.247737i | \(-0.920313\pi\) |
0.871696 | − | 0.490046i | \(-0.163020\pi\) | |||||||
\(500\) | −3.15830 | − | 10.5931i | −0.141243 | − | 0.473736i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 9.90019 | + | 10.9756i | 0.441867 | + | 0.489867i | ||||
\(503\) | 22.3214 | + | 22.3214i | 0.995261 | + | 0.995261i | 0.999989 | − | 0.00472801i | \(-0.00150498\pi\) |
−0.00472801 | + | 0.999989i | \(0.501505\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −13.2927 | + | 13.2927i | −0.591517 | + | 0.591517i | ||||
\(506\) | 25.5942 | + | 1.31853i | 1.13780 | + | 0.0586156i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −7.98636 | − | 9.82657i | −0.354337 | − | 0.435983i | ||||
\(509\) | 14.9175 | − | 1.96392i | 0.661206 | − | 0.0870494i | 0.207547 | − | 0.978225i | \(-0.433452\pi\) |
0.453659 | + | 0.891176i | \(0.350119\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −0.625215 | − | 0.360968i | −0.0276579 | − | 0.0159683i | ||||
\(512\) | 22.5711 | + | 1.59485i | 0.997513 | + | 0.0704829i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 16.2801 | − | 19.0959i | 0.718086 | − | 0.842285i | ||||
\(515\) | 0.921516 | − | 0.707104i | 0.0406069 | − | 0.0311587i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −11.8486 | + | 15.4414i | −0.521103 | + | 0.679114i | ||||
\(518\) | 1.54922 | + | 1.00412i | 0.0680686 | + | 0.0441183i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 39.9748 | − | 21.8427i | 1.75301 | − | 0.957868i | ||||
\(521\) | 1.96702 | − | 1.96702i | 0.0861766 | − | 0.0861766i | −0.662704 | − | 0.748881i | \(-0.730591\pi\) |
0.748881 | + | 0.662704i | \(0.230591\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 11.8341 | + | 28.5699i | 0.517467 | + | 1.24928i | 0.939454 | + | 0.342674i | \(0.111333\pi\) |
−0.421987 | + | 0.906602i | \(0.638667\pi\) | |||||||
\(524\) | −17.7109 | − | 16.7472i | −0.773702 | − | 0.731607i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 14.4717 | + | 21.0164i | 0.630997 | + | 0.916360i | ||||
\(527\) | −23.7932 | + | 13.7370i | −1.03645 | + | 0.598393i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −17.7139 | − | 10.2271i | −0.770169 | − | 0.444657i | ||||
\(530\) | −0.303762 | − | 3.81630i | −0.0131946 | − | 0.165769i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 3.02754 | − | 1.86269i | 0.131261 | − | 0.0807578i | ||||
\(533\) | 24.4729 | + | 3.22192i | 1.06004 | + | 0.139557i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −44.6961 | − | 11.9763i | −1.93238 | − | 0.517779i | ||||
\(536\) | 4.08498 | − | 9.24124i | 0.176444 | − | 0.399161i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 27.0875 | + | 1.39546i | 1.16783 | + | 0.0601625i | ||||
\(539\) | −6.86527 | − | 16.5742i | −0.295708 | − | 0.713902i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 33.8580 | + | 14.0244i | 1.45567 | + | 0.602958i | 0.963540 | − | 0.267564i | \(-0.0862187\pi\) |
0.492129 | + | 0.870522i | \(0.336219\pi\) | |||||||
\(542\) | −23.6716 | + | 8.40623i | −1.01678 | + | 0.361079i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −5.27103 | − | 38.7075i | −0.225993 | − | 1.65957i | ||||
\(545\) | −19.2190 | + | 11.0961i | −0.823251 | + | 0.475304i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −18.2443 | − | 23.7765i | −0.780071 | − | 1.01661i | −0.999163 | − | 0.0409041i | \(-0.986976\pi\) |
0.219092 | − | 0.975704i | \(-0.429690\pi\) | |||||||
\(548\) | 13.1203 | + | 9.49688i | 0.560472 | + | 0.405687i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 10.5684 | − | 5.39672i | 0.450639 | − | 0.230117i | ||||
\(551\) | 6.33005 | + | 23.6241i | 0.269669 | + | 1.00642i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 1.73369 | − | 6.47024i | 0.0737242 | − | 0.275142i | ||||
\(554\) | 8.81295 | + | 41.2812i | 0.374426 | + | 1.75387i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 0.0903643 | + | 3.23138i | 0.00383230 | + | 0.137041i | ||||
\(557\) | 16.4791 | + | 6.82585i | 0.698240 | + | 0.289220i | 0.703428 | − | 0.710766i | \(-0.251652\pi\) |
−0.00518860 | + | 0.999987i | \(0.501652\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −59.9243 | −2.53453 | ||||||||
\(560\) | −4.40437 | + | 6.45745i | −0.186119 | + | 0.272877i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 10.1849 | − | 7.01325i | 0.429626 | − | 0.295836i | ||||
\(563\) | −5.67086 | + | 0.746583i | −0.238998 | + | 0.0314647i | −0.249074 | − | 0.968485i | \(-0.580126\pi\) |
0.0100754 | + | 0.999949i | \(0.496793\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −5.97847 | + | 45.4110i | −0.251516 | + | 1.91046i | ||||
\(566\) | −23.5795 | − | 7.63827i | −0.991119 | − | 0.321060i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 1.86435 | + | 7.67537i | 0.0782264 | + | 0.322051i | ||||
\(569\) | 40.7951 | − | 10.9310i | 1.71022 | − | 0.458252i | 0.734742 | − | 0.678347i | \(-0.237303\pi\) |
0.975479 | + | 0.220095i | \(0.0706366\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 0.180316 | + | 0.138361i | 0.00754599 | + | 0.00579024i | 0.612528 | − | 0.790449i | \(-0.290153\pi\) |
−0.604982 | + | 0.796239i | \(0.706820\pi\) | |||||||
\(572\) | −19.6812 | − | 24.2162i | −0.822914 | − | 1.01253i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −3.99134 | + | 1.41740i | −0.166595 | + | 0.0591611i | ||||
\(575\) | −20.1206 | −0.839089 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 9.78981 | 0.407555 | 0.203778 | − | 0.979017i | \(-0.434678\pi\) | ||||
0.203778 | + | 0.979017i | \(0.434678\pi\) | |||||||
\(578\) | −40.8989 | + | 14.5240i | −1.70117 | + | 0.604118i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −33.9193 | − | 41.7349i | −1.40842 | − | 1.73295i | ||||
\(581\) | 0.190263 | + | 0.145994i | 0.00789344 | + | 0.00605685i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −2.53319 | + | 0.678767i | −0.104914 | + | 0.0281117i | ||||
\(584\) | −2.88141 | + | 0.699895i | −0.119234 | + | 0.0289619i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 33.3799 | + | 10.8130i | 1.37891 | + | 0.446680i | ||||
\(587\) | 2.99213 | − | 22.7275i | 0.123499 | − | 0.938064i | −0.811733 | − | 0.584028i | \(-0.801476\pi\) |
0.935232 | − | 0.354036i | \(-0.115191\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −10.1802 | + | 1.34025i | −0.419469 | + | 0.0552241i | ||||
\(590\) | −0.808956 | + | 0.557039i | −0.0333042 | + | 0.0229329i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 7.45078 | − | 1.40833i | 0.306225 | − | 0.0578822i | ||||
\(593\) | −18.4963 | −0.759552 | −0.379776 | − | 0.925078i | \(-0.623999\pi\) | ||||
−0.379776 | + | 0.925078i | \(0.623999\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 12.4674 | + | 5.16417i | 0.511114 | + | 0.211710i | ||||
\(596\) | −0.117201 | − | 4.19103i | −0.00480073 | − | 0.171671i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 11.0468 | + | 51.7448i | 0.451736 | + | 2.11600i | ||||
\(599\) | 6.65490 | − | 24.8364i | 0.271912 | − | 1.01479i | −0.685971 | − | 0.727629i | \(-0.740622\pi\) |
0.957883 | − | 0.287160i | \(-0.0927111\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 4.64278 | + | 17.3271i | 0.189383 | + | 0.706787i | 0.993650 | + | 0.112519i | \(0.0358918\pi\) |
−0.804267 | + | 0.594269i | \(0.797442\pi\) | |||||||
\(602\) | 9.15755 | − | 4.67626i | 0.373234 | − | 0.190590i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 20.5092 | + | 14.8452i | 0.834508 | + | 0.604042i | ||||
\(605\) | 5.94698 | + | 7.75025i | 0.241779 | + | 0.315093i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 31.3908 | − | 18.1235i | 1.27411 | − | 0.735609i | 0.298353 | − | 0.954456i | \(-0.403563\pi\) |
0.975759 | + | 0.218847i | \(0.0702295\pi\) | |||||||
\(608\) | 3.71605 | − | 14.1192i | 0.150706 | − | 0.572607i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −22.3955 | + | 7.95307i | −0.906768 | + | 0.322010i | ||||
\(611\) | −37.1249 | − | 15.3776i | −1.50191 | − | 0.622112i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −9.80226 | − | 23.6648i | −0.395910 | − | 0.955811i | −0.988625 | − | 0.150399i | \(-0.951944\pi\) |
0.592716 | − | 0.805412i | \(-0.298056\pi\) | |||||||
\(614\) | 30.4042 | + | 1.56632i | 1.22701 | + | 0.0632117i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 4.89740 | + | 2.16483i | 0.197322 | + | 0.0872237i | ||||
\(617\) | −11.7940 | − | 3.16019i | −0.474807 | − | 0.127224i | 0.0134763 | − | 0.999909i | \(-0.495710\pi\) |
−0.488284 | + | 0.872685i | \(0.662377\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −40.2814 | − | 5.30315i | −1.61905 | − | 0.213152i | −0.734167 | − | 0.678969i | \(-0.762427\pi\) |
−0.884881 | + | 0.465817i | \(0.845760\pi\) | |||||||
\(620\) | 19.2306 | − | 11.8316i | 0.772319 | − | 0.475168i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −0.885175 | − | 11.1209i | −0.0354923 | − | 0.445906i | ||||
\(623\) | 2.11672 | + | 1.22209i | 0.0848046 | + | 0.0489620i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 26.7991 | − | 15.4725i | 1.07197 | − | 0.618900i | ||||
\(626\) | −14.3038 | − | 20.7726i | −0.571696 | − | 0.830240i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 7.33295 | + | 6.93398i | 0.292617 | + | 0.276696i | ||||
\(629\) | −5.00973 | − | 12.0946i | −0.199751 | − | 0.482242i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −7.40747 | + | 7.40747i | −0.294887 | + | 0.294887i | −0.839007 | − | 0.544120i | \(-0.816863\pi\) |
0.544120 | + | 0.839007i | \(0.316863\pi\) | |||||||
\(632\) | −13.1923 | − | 24.1434i | −0.524760 | − | 0.960373i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 30.7978 | + | 19.9614i | 1.22314 | + | 0.792770i | ||||
\(635\) | 10.9371 | − | 14.2535i | 0.434026 | − | 0.565633i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 29.3841 | − | 22.5472i | 1.16424 | − | 0.893354i | ||||
\(638\) | −23.9015 | + | 28.0355i | −0.946271 | + | 1.10994i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 5.21940 | + | 31.6773i | 0.206315 | + | 1.25216i | ||||
\(641\) | 15.8499 | + | 9.15095i | 0.626034 | + | 0.361441i | 0.779215 | − | 0.626757i | \(-0.215618\pi\) |
−0.153180 | + | 0.988198i | \(0.548952\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −39.7687 | + | 5.23565i | −1.56832 | + | 0.206474i | −0.864032 | − | 0.503437i | \(-0.832069\pi\) |
−0.704292 | + | 0.709911i | \(0.748735\pi\) | |||||||
\(644\) | −5.72612 | − | 7.04552i | −0.225641 | − | 0.277632i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −25.1726 | − | 1.29681i | −0.990401 | − | 0.0510222i | ||||
\(647\) | −4.46265 | + | 4.46265i | −0.175445 | + | 0.175445i | −0.789367 | − | 0.613922i | \(-0.789591\pi\) |
0.613922 | + | 0.789367i | \(0.289591\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 0.475765 | + | 0.475765i | 0.0186754 | + | 0.0186754i | ||||
\(650\) | 16.4094 | + | 18.1920i | 0.643631 | + | 0.713549i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 3.85639 | + | 12.9345i | 0.151028 | + | 0.506553i | ||||
\(653\) | 2.16541 | + | 16.4479i | 0.0847389 | + | 0.643656i | 0.980127 | + | 0.198370i | \(0.0635647\pi\) |
−0.895388 | + | 0.445286i | \(0.853102\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 17.2920 | − | 29.9507i | 0.675655 | − | 1.17027i | ||||
\(656\) | −7.84271 | + | 15.5284i | −0.306207 | + | 0.606283i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 6.87338 | − | 0.547093i | 0.267952 | − | 0.0213279i | ||||
\(659\) | 11.2120 | + | 14.6117i | 0.436756 | + | 0.569191i | 0.958928 | − | 0.283649i | \(-0.0915449\pi\) |
−0.522172 | + | 0.852840i | \(0.674878\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 7.36568 | + | 5.65188i | 0.286492 | + | 0.219833i | 0.742002 | − | 0.670398i | \(-0.233877\pi\) |
−0.455510 | + | 0.890231i | \(0.650543\pi\) | |||||||
\(662\) | 18.4647 | − | 3.94195i | 0.717651 | − | 0.153208i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 0.979339 | − | 0.105573i | 0.0380057 | − | 0.00409704i | ||||
\(665\) | 3.56626 | + | 3.56626i | 0.138294 | + | 0.138294i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 57.7118 | − | 23.9050i | 2.23461 | − | 0.925606i | ||||
\(668\) | 39.9874 | − | 17.8888i | 1.54716 | − | 0.692137i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 14.0979 | + | 2.59993i | 0.544649 | + | 0.100444i | ||||
\(671\) | 8.14014 | + | 14.0991i | 0.314247 | + | 0.544291i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 15.0839 | − | 26.1260i | 0.581440 | − | 1.00708i | −0.413869 | − | 0.910336i | \(-0.635823\pi\) |
0.995309 | − | 0.0967468i | \(-0.0308437\pi\) | |||||||
\(674\) | 26.4964 | − | 31.0792i | 1.02060 | − | 1.19713i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 22.5306 | − | 31.1269i | 0.866562 | − | 1.19719i | ||||
\(677\) | −0.0555242 | + | 0.421748i | −0.00213397 | + | 0.0162091i | −0.992479 | − | 0.122417i | \(-0.960935\pi\) |
0.990345 | + | 0.138626i | \(0.0442687\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 1.02570 | − | 3.82797i | 0.0393628 | − | 0.146904i | ||||
\(680\) | 51.6917 | − | 20.0009i | 1.98229 | − | 0.766998i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −10.3598 | − | 11.4852i | −0.396697 | − | 0.439790i | ||||
\(683\) | 30.9070 | − | 12.8021i | 1.18262 | − | 0.489858i | 0.297276 | − | 0.954791i | \(-0.403922\pi\) |
0.885346 | + | 0.464933i | \(0.153922\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −8.79420 | + | 21.2311i | −0.336009 | + | 0.811197i | ||||
\(686\) | −5.66034 | + | 11.8943i | −0.216113 | + | 0.454128i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 13.9560 | − | 39.8602i | 0.532066 | − | 1.51966i | ||||
\(689\) | −2.70721 | − | 4.68903i | −0.103137 | − | 0.178638i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 29.0147 | − | 22.2637i | 1.10377 | − | 0.846953i | 0.114555 | − | 0.993417i | \(-0.463456\pi\) |
0.989216 | + | 0.146464i | \(0.0467893\pi\) | |||||||
\(692\) | 4.48869 | − | 18.8442i | 0.170634 | − | 0.716350i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 2.88302 | − | 8.89993i | 0.109438 | − | 0.337837i | ||||
\(695\) | −4.43028 | + | 1.18709i | −0.168050 | + | 0.0450289i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 29.0106 | + | 7.77338i | 1.09886 | + | 0.294438i | ||||
\(698\) | −11.0305 | + | 17.0185i | −0.417510 | + | 0.644161i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −3.92730 | − | 1.49955i | −0.148438 | − | 0.0566775i | ||||
\(701\) | 10.6564 | − | 25.7268i | 0.402487 | − | 0.971689i | −0.584574 | − | 0.811340i | \(-0.698738\pi\) |
0.987061 | − | 0.160348i | \(-0.0512617\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | − | 4.89262i | − | 0.184529i | ||||||
\(704\) | 20.6916 | − | 7.45170i | 0.779846 | − | 0.280847i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −51.7801 | − | 9.54928i | −1.94877 | − | 0.359392i | ||||
\(707\) | −0.595465 | − | 4.52301i | −0.0223948 | − | 0.170105i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 1.65908 | + | 0.218421i | 0.0623079 | + | 0.00820299i | 0.161616 | − | 0.986854i | \(-0.448330\pi\) |
−0.0993078 | + | 0.995057i | \(0.531663\pi\) | |||||||
\(710\) | −9.98071 | + | 5.09660i | −0.374569 | + | 0.191272i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 9.75527 | − | 2.36956i | 0.365594 | − | 0.0888029i | ||||
\(713\) | 6.78771 | + | 25.3321i | 0.254202 | + | 0.948694i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 26.9529 | − | 35.1258i | 1.00798 | − | 1.31363i | ||||
\(716\) | 11.9278 | + | 40.0065i | 0.445765 | + | 1.49511i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −9.21204 | + | 19.3577i | −0.343790 | + | 0.722423i | ||||
\(719\) | − | 36.1234i | − | 1.34718i | −0.739107 | − | 0.673588i | \(-0.764752\pi\) | ||
0.739107 | − | 0.673588i | \(-0.235248\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0.281882i | 0.0104978i | ||||||||
\(722\) | 15.7565 | + | 7.49827i | 0.586395 | + | 0.279057i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 0.683308 | − | 1.26385i | 0.0253949 | − | 0.0469706i | ||||
\(725\) | 17.6078 | − | 22.9470i | 0.653939 | − | 0.852230i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 9.21373 | + | 34.3861i | 0.341718 | + | 1.27531i | 0.896399 | + | 0.443247i | \(0.146174\pi\) |
−0.554681 | + | 0.832063i | \(0.687160\pi\) | |||||||
\(728\) | −1.70023 | + | 10.9232i | −0.0630147 | + | 0.404842i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −1.91331 | − | 3.74685i | −0.0708149 | − | 0.138677i | ||||
\(731\) | −72.2884 | − | 9.51694i | −2.67368 | − | 0.351997i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 5.26871 | + | 40.0199i | 0.194604 | + | 1.47817i | 0.758149 | + | 0.652081i | \(0.226104\pi\) |
−0.563545 | + | 0.826086i | \(0.690563\pi\) | |||||||
\(734\) | −5.20258 | + | 28.2105i | −0.192031 | + | 1.04127i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −36.9921 | − | 4.70298i | −1.36355 | − | 0.173354i | ||||
\(737\) | − | 9.82036i | − | 0.361737i | ||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −15.5905 | + | 37.6388i | −0.573506 | + | 1.38457i | 0.325046 | + | 0.945698i | \(0.394620\pi\) |
−0.898552 | + | 0.438868i | \(0.855380\pi\) | |||||||
\(740\) | 4.39336 | + | 9.82064i | 0.161503 | + | 0.361014i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0.779626 | + | 0.505311i | 0.0286210 | + | 0.0185505i | ||||
\(743\) | −36.6464 | − | 9.81938i | −1.34443 | − | 0.360238i | −0.486353 | − | 0.873763i | \(-0.661673\pi\) |
−0.858075 | + | 0.513524i | \(0.828340\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 5.74598 | − | 1.53963i | 0.210517 | − | 0.0564077i | ||||
\(746\) | 1.35736 | + | 0.439699i | 0.0496964 | + | 0.0160985i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −19.8961 | − | 32.3383i | −0.727474 | − | 1.18241i | ||||
\(749\) | 8.90888 | − | 6.83602i | 0.325523 | − | 0.249783i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 8.29232 | + | 14.3627i | 0.302591 | + | 0.524103i | 0.976722 | − | 0.214509i | \(-0.0688150\pi\) |
−0.674131 | + | 0.738612i | \(0.735482\pi\) | |||||||
\(752\) | 18.8750 | − | 21.1132i | 0.688299 | − | 0.769920i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −68.6806 | − | 32.6841i | −2.50120 | − | 1.19028i | ||||
\(755\) | −13.7468 | + | 33.1877i | −0.500297 | + | 1.20782i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −12.3850 | + | 5.13003i | −0.450140 | + | 0.186454i | −0.596224 | − | 0.802818i | \(-0.703333\pi\) |
0.146084 | + | 0.989272i | \(0.453333\pi\) | |||||||
\(758\) | 20.5351 | − | 18.5230i | 0.745869 | − | 0.672784i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 20.7091 | + | 0.487041i | 0.751200 | + | 0.0176668i | ||||
\(761\) | −3.50886 | + | 13.0952i | −0.127196 | + | 0.474702i | −0.999908 | − | 0.0135326i | \(-0.995692\pi\) |
0.872712 | + | 0.488235i | \(0.162359\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0.702957 | − | 5.33949i | 0.0254488 | − | 0.193302i | ||||
\(764\) | 1.72332 | + | 10.7569i | 0.0623477 | + | 0.389170i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 14.5155 | + | 12.3751i | 0.524465 | + | 0.447130i | ||||
\(767\) | −0.694553 | + | 1.20300i | −0.0250789 | + | 0.0434379i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 8.64344 | + | 14.9709i | 0.311690 | + | 0.539863i | 0.978728 | − | 0.205160i | \(-0.0657715\pi\) |
−0.667038 | + | 0.745024i | \(0.732438\pi\) | |||||||
\(770\) | −1.37783 | + | 7.47117i | −0.0496536 | + | 0.269242i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 10.3129 | + | 3.93774i | 0.371170 | + | 0.141722i | ||||
\(773\) | 16.9010 | − | 7.00063i | 0.607887 | − | 0.251795i | −0.0574376 | − | 0.998349i | \(-0.518293\pi\) |
0.665325 | + | 0.746554i | \(0.268293\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 8.58661 | + | 8.58661i | 0.308440 | + | 0.308440i | ||||
\(776\) | −7.80490 | − | 14.2839i | −0.280180 | − | 0.512762i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −1.83489 | − | 8.59493i | −0.0657841 | − | 0.308143i | ||||
\(779\) | 8.90527 | + | 6.83325i | 0.319064 | + | 0.244827i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 4.67342 | + | 6.09053i | 0.167228 | + | 0.217936i | ||||
\(782\) | 5.10812 | + | 64.1756i | 0.182666 | + | 2.29492i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 8.15451 | + | 24.7967i | 0.291232 | + | 0.885597i | ||||
\(785\) | −7.15954 | + | 12.4007i | −0.255535 | + | 0.442600i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −3.16847 | − | 24.0670i | −0.112944 | − | 0.857894i | −0.950322 | − | 0.311270i | \(-0.899246\pi\) |
0.837378 | − | 0.546625i | \(-0.184088\pi\) | |||||||
\(788\) | −12.5904 | + | 23.2873i | −0.448515 | + | 0.829574i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 28.9858 | − | 26.1457i | 1.03127 | − | 0.930221i | ||||
\(791\) | −7.85975 | − | 7.85975i | −0.279461 | − | 0.279461i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −23.7671 | + | 23.7671i | −0.843993 | + | 0.843993i | ||||
\(794\) | −0.819167 | + | 15.9010i | −0.0290711 | + | 0.564305i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 19.5649 | + | 2.02120i | 0.693459 | + | 0.0716395i | ||||
\(797\) | −4.98819 | + | 0.656708i | −0.176691 | + | 0.0232618i | −0.218352 | − | 0.975870i | \(-0.570068\pi\) |
0.0416616 | + | 0.999132i | \(0.486735\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −42.3425 | − | 24.4465i | −1.49797 | − | 0.864854i | ||||
\(800\) | −15.9225 | + | 6.67837i | −0.562946 | + | 0.236116i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 11.0559 | + | 9.42562i | 0.390396 | + | 0.332830i | ||||
\(803\) | −2.28644 | + | 1.75445i | −0.0806868 | + | 0.0619131i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 7.84176 | − | 10.2196i | 0.276386 | − | 0.360193i | ||||
\(806\) | 17.3682 | − | 26.7967i | 0.611767 | − | 0.943874i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −14.5932 | − | 11.7531i | −0.513387 | − | 0.413471i | ||||
\(809\) | 0.504387 | − | 0.504387i | 0.0177333 | − | 0.0177333i | −0.698185 | − | 0.715918i | \(-0.746008\pi\) |
0.715918 | + | 0.698185i | \(0.246008\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 13.1867 | + | 31.8355i | 0.463047 | + | 1.11789i | 0.967140 | + | 0.254245i | \(0.0818269\pi\) |
−0.504093 | + | 0.863649i | \(0.668173\pi\) | |||||||
\(812\) | 13.0462 | − | 0.364833i | 0.457832 | − | 0.0128031i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 6.07006 | − | 4.17979i | 0.212756 | − | 0.146501i | ||||
\(815\) | −16.5845 | + | 9.57505i | −0.580929 | + | 0.335399i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −23.5992 | − | 13.6250i | −0.825632 | − | 0.476679i | ||||
\(818\) | −16.6719 | + | 1.32702i | −0.582920 | + | 0.0463981i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −24.0109 | − | 5.71939i | −0.838498 | − | 0.199730i | ||||
\(821\) | −20.2261 | − | 2.66282i | −0.705897 | − | 0.0929332i | −0.230974 | − | 0.972960i | \(-0.574191\pi\) |
−0.474924 | + | 0.880027i | \(0.657524\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 25.8740 | + | 6.93293i | 0.901912 | + | 0.241667i | 0.679837 | − | 0.733363i | \(-0.262050\pi\) |
0.222075 | + | 0.975030i | \(0.428717\pi\) | |||||||
\(824\) | 0.799191 | + | 0.837688i | 0.0278411 | + | 0.0291822i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0.0122631 | − | 0.238041i | 0.000426687 | − | 0.00828251i | ||||
\(827\) | −14.6945 | − | 35.4756i | −0.510977 | − | 1.23361i | −0.943316 | − | 0.331896i | \(-0.892312\pi\) |
0.432339 | − | 0.901711i | \(-0.357688\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 3.50068 | + | 1.45003i | 0.121584 | + | 0.0503616i | 0.442646 | − | 0.896696i | \(-0.354040\pi\) |
−0.321062 | + | 0.947058i | \(0.604040\pi\) | |||||||
\(830\) | 0.467687 | + | 1.31699i | 0.0162337 | + | 0.0457133i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 25.9168 | + | 37.2818i | 0.898505 | + | 1.29251i | ||||
\(833\) | 39.0277 | − | 22.5327i | 1.35223 | − | 0.780711i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 37.8368 | + | 49.3099i | 1.30940 | + | 1.70644i | ||||
\(836\) | −2.24477 | − | 14.0117i | −0.0776369 | − | 0.484604i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −11.0984 | − | 21.7341i | −0.383388 | − | 0.750791i | ||||
\(839\) | 1.80004 | + | 6.71785i | 0.0621444 | + | 0.231926i | 0.990012 | − | 0.140984i | \(-0.0450267\pi\) |
−0.927867 | + | 0.372910i | \(0.878360\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −15.7357 | + | 58.7263i | −0.542609 | + | 2.02505i | ||||
\(842\) | 50.5781 | − | 10.7977i | 1.74304 | − | 0.372113i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 38.5348 | + | 36.4382i | 1.32642 | + | 1.25425i | ||||
\(845\) | 50.3691 | + | 20.8636i | 1.73275 | + | 0.717728i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −2.37072 | −0.0814589 | ||||||||
\(848\) | 3.74952 | − | 0.708729i | 0.128759 | − | 0.0243379i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 16.9060 | + | 24.5516i | 0.579870 | + | 0.842112i | ||||
\(851\) | −12.3894 | + | 1.63109i | −0.424702 | + | 0.0559131i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −4.16449 | + | 31.6324i | −0.142589 | + | 1.08307i | 0.759188 | + | 0.650872i | \(0.225596\pi\) |
−0.901777 | + | 0.432202i | \(0.857737\pi\) | |||||||
\(854\) | 1.77736 | − | 5.48673i | 0.0608200 | − | 0.187752i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 7.09363 | − | 45.5735i | 0.242455 | − | 1.55767i | ||||
\(857\) | −13.8148 | + | 3.70167i | −0.471905 | + | 0.126447i | −0.486931 | − | 0.873441i | \(-0.661884\pi\) |
0.0150259 | + | 0.999887i | \(0.495217\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −19.1963 | − | 14.7298i | −0.654970 | − | 0.502576i | 0.226992 | − | 0.973897i | \(-0.427111\pi\) |
−0.881962 | + | 0.471321i | \(0.843777\pi\) | |||||||
\(860\) | 59.6038 | + | 6.15752i | 2.03247 | + | 0.209970i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −6.15188 | − | 17.3234i | −0.209534 | − | 0.590038i | ||||
\(863\) | −4.17868 | −0.142244 | −0.0711219 | − | 0.997468i | \(-0.522658\pi\) | ||||
−0.0711219 | + | 0.997468i | \(0.522658\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 27.4848 | 0.934510 | ||||||||
\(866\) | 2.82465 | + | 7.95410i | 0.0959856 | + | 0.270291i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −0.563065 | + | 5.45038i | −0.0191117 | + | 0.184998i | ||||
\(869\) | −21.2147 | − | 16.2786i | −0.719661 | − | 0.552215i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 19.5839 | − | 5.24749i | 0.663575 | − | 0.177804i | ||||
\(872\) | −13.0495 | − | 17.8607i | −0.441911 | − | 0.604841i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −7.41483 | + | 22.8897i | −0.250810 | + | 0.774256i | ||||
\(875\) | −0.496789 | + | 3.77349i | −0.0167945 | + | 0.127567i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 12.7862 | − | 1.68334i | 0.431761 | − | 0.0568424i | 0.0884860 | − | 0.996077i | \(-0.471797\pi\) |
0.343275 | + | 0.939235i | \(0.388464\pi\) | |||||||
\(878\) | 9.61727 | + | 13.9666i | 0.324567 | + | 0.471350i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 17.0876 | + | 26.1090i | 0.576024 | + | 0.880134i | ||||
\(881\) | −42.3840 | −1.42795 | −0.713977 | − | 0.700169i | \(-0.753108\pi\) | ||||
−0.713977 | + | 0.700169i | \(0.753108\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −16.3800 | − | 6.78482i | −0.551231 | − | 0.228327i | 0.0896423 | − | 0.995974i | \(-0.471428\pi\) |
−0.640873 | + | 0.767647i | \(0.721428\pi\) | |||||||
\(884\) | 53.8582 | − | 56.9571i | 1.81145 | − | 1.91567i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −6.58402 | + | 1.40559i | −0.221195 | + | 0.0472218i | ||||
\(887\) | 5.38743 | − | 20.1062i | 0.180892 | − | 0.675099i | −0.814580 | − | 0.580051i | \(-0.803033\pi\) |
0.995473 | − | 0.0950485i | \(-0.0303006\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 1.12845 | + | 4.21143i | 0.0378470 | + | 0.141247i | ||||
\(890\) | 6.47769 | + | 12.6853i | 0.217133 | + | 0.425212i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −19.5265 | + | 3.12828i | −0.653795 | + | 0.104742i | ||||
\(893\) | −11.1240 | − | 14.4971i | −0.372250 | − | 0.485126i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −51.2960 | + | 29.6157i | −1.71463 | + | 0.989945i | ||||
\(896\) | −6.86990 | − | 3.67490i | −0.229507 | − | 0.122770i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 19.0322 | + | 53.5939i | 0.635113 | + | 1.78845i | ||||
\(899\) | −34.8305 | − | 14.4273i | −1.16166 | − | 0.481176i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −2.52109 | − | 6.08646i | −0.0839898 | − | 0.202769i | ||||
\(902\) | −0.869913 | + | 16.8860i | −0.0289649 | + | 0.562244i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −45.6413 | − | 1.07340i | −1.51801 | − | 0.0357007i | ||||
\(905\) | 1.96903 | + | 0.527600i | 0.0654527 | + | 0.0175380i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −35.0384 | − | 4.61289i | −1.16343 | − | 0.153168i | −0.476017 | − | 0.879436i | \(-0.657920\pi\) |
−0.687412 | + | 0.726267i | \(0.741253\pi\) | |||||||
\(908\) | 1.94630 | − | 8.17089i | 0.0645904 | − | 0.271161i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −15.6354 | + | 1.24451i | −0.518307 | + | 0.0412552i | ||||
\(911\) | 15.2050 | + | 8.77860i | 0.503764 | + | 0.290848i | 0.730266 | − | 0.683162i | \(-0.239396\pi\) |
−0.226503 | + | 0.974011i | \(0.572729\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 0.829112 | − | 0.478688i | 0.0274396 | − | 0.0158423i | ||||
\(914\) | 43.4573 | − | 29.9243i | 1.43744 | − | 0.989807i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −0.604413 | − | 21.6135i | −0.0199704 | − | 0.714129i | ||||
\(917\) | 3.21179 | + | 7.75394i | 0.106063 | + | 0.256058i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −21.4242 | + | 21.4242i | −0.706718 | + | 0.706718i | −0.965844 | − | 0.259126i | \(-0.916566\pi\) |
0.259126 | + | 0.965844i | \(0.416566\pi\) | |||||||
\(920\) | −5.67065 | − | 52.6032i | −0.186956 | − | 1.73427i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 1.25322 | − | 1.93355i | 0.0412726 | − | 0.0636780i | ||||
\(923\) | −9.64858 | + | 12.5743i | −0.317587 | + | 0.413887i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −4.59047 | + | 3.52239i | −0.150934 | + | 0.115815i | ||||
\(926\) | −10.1573 | − | 8.65951i | −0.333788 | − | 0.284569i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 37.7359 | − | 38.0728i | 1.23874 | − | 1.24980i | ||||
\(929\) | 6.13817 | + | 3.54387i | 0.201387 | + | 0.116271i | 0.597302 | − | 0.802016i | \(-0.296239\pi\) |
−0.395915 | + | 0.918287i | \(0.629573\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 16.6985 | − | 2.19840i | 0.547272 | − | 0.0720498i | ||||
\(932\) | −3.09072 | + | 29.9177i | −0.101240 | + | 0.979986i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 0.258295 | − | 5.01382i | 0.00845169 | − | 0.164057i | ||||
\(935\) | 38.0926 | − | 38.0926i | 1.24576 | − | 1.24576i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −6.65530 | − | 6.65530i | −0.217419 | − | 0.217419i | 0.589991 | − | 0.807410i | \(-0.299131\pi\) |
−0.807410 | + | 0.589991i | \(0.799131\pi\) | |||||||
\(938\) | −2.58329 | + | 2.33016i | −0.0843474 | + | 0.0760826i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 35.3462 | + | 19.1101i | 1.15286 | + | 0.623304i | ||||
\(941\) | −3.05083 | − | 23.1733i | −0.0994541 | − | 0.755429i | −0.966403 | − | 0.257032i | \(-0.917256\pi\) |
0.866949 | − | 0.498397i | \(-0.166078\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 14.3347 | − | 24.8285i | 0.466803 | − | 0.808526i | ||||
\(944\) | −0.638451 | − | 0.742171i | −0.0207798 | − | 0.0241556i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −3.25694 | − | 40.9184i | −0.105892 | − | 1.33037i | ||||
\(947\) | −12.6319 | − | 16.4622i | −0.410481 | − | 0.534949i | 0.541664 | − | 0.840595i | \(-0.317794\pi\) |
−0.952145 | + | 0.305646i | \(0.901128\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −4.72050 | − | 3.62217i | −0.153234 | − | 0.117581i | ||||
\(950\) | 2.32600 | + | 10.8953i | 0.0754653 | + | 0.353491i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −3.78582 | + | 12.9070i | −0.122699 | + | 0.418318i | ||||
\(953\) | −19.2927 | − | 19.2927i | −0.624952 | − | 0.624952i | 0.321841 | − | 0.946794i | \(-0.395698\pi\) |
−0.946794 | + | 0.321841i | \(0.895698\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −14.2802 | + | 5.91504i | −0.462096 | + | 0.191406i | ||||
\(956\) | 15.1840 | − | 39.7669i | 0.491087 | − | 1.28615i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 7.36945 | − | 39.9602i | 0.238096 | − | 1.29105i | ||||
\(959\) | −2.78842 | − | 4.82968i | −0.0900426 | − | 0.155958i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −7.58607 | + | 13.1395i | −0.244712 | + | 0.423854i | ||||
\(962\) | 11.5789 | + | 9.87155i | 0.373319 | + | 0.318271i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 37.6276 | − | 6.02820i | 1.21190 | − | 0.194155i | ||||
\(965\) | −2.04438 | + | 15.5286i | −0.0658109 | + | 0.499883i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −12.8166 | + | 47.8320i | −0.412152 | + | 1.53817i | 0.378319 | + | 0.925675i | \(0.376502\pi\) |
−0.790472 | + | 0.612499i | \(0.790164\pi\) | |||||||
\(968\) | −7.04523 | + | 6.72146i | −0.226442 | + | 0.216036i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 17.1488 | − | 15.4685i | 0.550615 | − | 0.496663i | ||||
\(971\) | 47.4354 | − | 19.6484i | 1.52228 | − | 0.630547i | 0.544229 | − | 0.838937i | \(-0.316822\pi\) |
0.978046 | + | 0.208390i | \(0.0668222\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 0.425949 | − | 1.02833i | 0.0136553 | − | 0.0329668i | ||||
\(974\) | −12.6025 | − | 5.99736i | −0.403811 | − | 0.192168i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −10.2741 | − | 21.3445i | −0.328865 | − | 0.683219i | ||||
\(977\) | −3.79556 | − | 6.57411i | −0.121431 | − | 0.210324i | 0.798901 | − | 0.601462i | \(-0.205415\pi\) |
−0.920332 | + | 0.391138i | \(0.872082\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 7.74095 | − | 5.93984i | 0.247402 | − | 0.189838i | ||||
\(980\) | −31.5438 | + | 19.4073i | −1.00763 | + | 0.619942i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −26.6792 | − | 8.64238i | −0.851367 | − | 0.275790i | ||||
\(983\) | −25.7659 | + | 6.90394i | −0.821803 | + | 0.220201i | −0.645135 | − | 0.764069i | \(-0.723199\pi\) |
−0.176668 | + | 0.984270i | \(0.556532\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −36.2807 | − | 9.72137i | −1.15600 | − | 0.309749i | ||||
\(986\) | −77.6606 | − | 50.3353i | −2.47322 | − | 1.60300i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 26.7428 | − | 11.9637i | 0.850802 | − | 0.380615i | ||||
\(989\) | −26.6345 | + | 64.3014i | −0.846929 | + | 2.04467i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | − | 25.3003i | − | 0.803691i | −0.915707 | − | 0.401846i | \(-0.868369\pi\) | ||
0.915707 | − | 0.401846i | \(-0.131631\pi\) | |||||||
\(992\) | 13.7796 | + | 17.7937i | 0.437503 | + | 0.564949i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 0.493235 | − | 2.67452i | 0.0156445 | − | 0.0848306i | ||||
\(995\) | 3.64258 | + | 27.6682i | 0.115478 | + | 0.877140i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −4.97372 | − | 0.654802i | −0.157519 | − | 0.0207378i | 0.0513541 | − | 0.998681i | \(-0.483646\pi\) |
−0.208873 | + | 0.977943i | \(0.566980\pi\) | |||||||
\(998\) | 10.6913 | + | 20.9368i | 0.338426 | + | 0.662741i | ||||
\(999\) | 0 | 0 |
(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 | 864.2.bn.a.35.5 | 368 | ||
3.2 | odd | 2 | 288.2.bf.a.227.42 | yes | 368 | ||
9.4 | even | 3 | 288.2.bf.a.131.27 | yes | 368 | ||
9.5 | odd | 6 | inner | 864.2.bn.a.611.20 | 368 | ||
32.11 | odd | 8 | inner | 864.2.bn.a.683.20 | 368 | ||
96.11 | even | 8 | 288.2.bf.a.11.27 | ✓ | 368 | ||
288.139 | odd | 24 | 288.2.bf.a.203.42 | yes | 368 | ||
288.203 | even | 24 | inner | 864.2.bn.a.395.5 | 368 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
288.2.bf.a.11.27 | ✓ | 368 | 96.11 | even | 8 | ||
288.2.bf.a.131.27 | yes | 368 | 9.4 | even | 3 | ||
288.2.bf.a.203.42 | yes | 368 | 288.139 | odd | 24 | ||
288.2.bf.a.227.42 | yes | 368 | 3.2 | odd | 2 | ||
864.2.bn.a.35.5 | 368 | 1.1 | even | 1 | trivial | ||
864.2.bn.a.395.5 | 368 | 288.203 | even | 24 | inner | ||
864.2.bn.a.611.20 | 368 | 9.5 | odd | 6 | inner | ||
864.2.bn.a.683.20 | 368 | 32.11 | odd | 8 | inner |