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 | 395.10 | ||
Character | \(\chi\) | \(=\) | 864.395 |
Dual form | 864.2.bn.a.35.10 |
$q$-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 \(\left(\mathbb{Z}/864\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(353\) | \(703\) |
\(\chi(n)\) | \(e\left(\frac{5}{8}\right)\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.07440 | − | 0.919596i | −0.759718 | − | 0.650252i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.308687 | + | 1.97603i | 0.154344 | + | 0.988017i | ||||
\(5\) | −1.05601 | + | 0.810304i | −0.472261 | + | 0.362379i | −0.817303 | − | 0.576209i | \(-0.804532\pi\) |
0.345041 | + | 0.938587i | \(0.387865\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.165787 | − | 0.0444224i | −0.0626615 | − | 0.0167901i | 0.227352 | − | 0.973813i | \(-0.426993\pi\) |
−0.290014 | + | 0.957023i | \(0.593660\pi\) | |||||||
\(8\) | 1.48550 | − | 2.40693i | 0.525203 | − | 0.850977i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 1.87973 | + | 0.100507i | 0.594423 | + | 0.0317833i | ||||
\(11\) | −0.144412 | − | 1.09692i | −0.0435419 | − | 0.330733i | −0.999327 | − | 0.0366690i | \(-0.988325\pi\) |
0.955786 | − | 0.294064i | \(-0.0950080\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −4.15071 | − | 0.546451i | −1.15120 | − | 0.151558i | −0.469324 | − | 0.883026i | \(-0.655502\pi\) |
−0.681876 | + | 0.731468i | \(0.738836\pi\) | |||||||
\(14\) | 0.137271 | + | 0.200184i | 0.0366873 | + | 0.0535015i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −3.80942 | + | 1.21995i | −0.952356 | + | 0.304988i | ||||
\(17\) | 1.67770 | 0.406902 | 0.203451 | − | 0.979085i | \(-0.434784\pi\) | ||||
0.203451 | + | 0.979085i | \(0.434784\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 3.90182 | − | 1.61619i | 0.895139 | − | 0.370779i | 0.112790 | − | 0.993619i | \(-0.464021\pi\) |
0.782349 | + | 0.622840i | \(0.214021\pi\) | |||||||
\(20\) | −1.92716 | − | 1.83658i | −0.430927 | − | 0.410671i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.853565 | + | 1.31133i | −0.181981 | + | 0.279577i | ||||
\(23\) | −0.443260 | − | 1.65427i | −0.0924261 | − | 0.344939i | 0.904191 | − | 0.427129i | \(-0.140475\pi\) |
−0.996617 | + | 0.0821905i | \(0.973808\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.835534 | + | 3.11825i | −0.167107 | + | 0.623651i | ||||
\(26\) | 3.95702 | + | 4.40408i | 0.776036 | + | 0.863712i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0.0366040 | − | 0.341313i | 0.00691751 | − | 0.0645020i | ||||
\(29\) | 3.97106 | − | 5.17518i | 0.737407 | − | 0.961008i | −0.262585 | − | 0.964909i | \(-0.584575\pi\) |
0.999992 | + | 0.00390119i | \(0.00124179\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −3.09485 | − | 1.78681i | −0.555851 | − | 0.320920i | 0.195628 | − | 0.980678i | \(-0.437326\pi\) |
−0.751478 | + | 0.659758i | \(0.770659\pi\) | |||||||
\(32\) | 5.21472 | + | 2.19241i | 0.921842 | + | 0.387567i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −1.80253 | − | 1.54281i | −0.309131 | − | 0.264589i | ||||
\(35\) | 0.211068 | − | 0.0874271i | 0.0356769 | − | 0.0147779i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 3.58091 | − | 8.64508i | 0.588698 | − | 1.42124i | −0.296050 | − | 0.955173i | \(-0.595669\pi\) |
0.884748 | − | 0.466070i | \(-0.154331\pi\) | |||||||
\(38\) | −5.67837 | − | 1.85166i | −0.921153 | − | 0.300379i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0.381642 | + | 3.74544i | 0.0603429 | + | 0.592206i | ||||
\(41\) | 2.94866 | − | 0.790091i | 0.460503 | − | 0.123391i | −0.0211066 | − | 0.999777i | \(-0.506719\pi\) |
0.481610 | + | 0.876386i | \(0.340052\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 8.75033 | − | 1.15200i | 1.33441 | − | 0.175679i | 0.570660 | − | 0.821187i | \(-0.306688\pi\) |
0.763754 | + | 0.645508i | \(0.223354\pi\) | |||||||
\(44\) | 2.12297 | − | 0.623968i | 0.320050 | − | 0.0940667i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −1.04502 | + | 2.18497i | −0.154080 | + | 0.322157i | ||||
\(47\) | 0.598230 | − | 0.345388i | 0.0872608 | − | 0.0503801i | −0.455735 | − | 0.890116i | \(-0.650623\pi\) |
0.542995 | + | 0.839736i | \(0.317290\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −6.03667 | − | 3.48527i | −0.862381 | − | 0.497896i | ||||
\(50\) | 3.76523 | − | 2.58191i | 0.532485 | − | 0.365137i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −0.201463 | − | 8.37063i | −0.0279380 | − | 1.16080i | ||||
\(53\) | 4.43574 | − | 10.7088i | 0.609296 | − | 1.47097i | −0.254471 | − | 0.967080i | \(-0.581901\pi\) |
0.863768 | − | 0.503891i | \(-0.168099\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 1.04134 | + | 1.04134i | 0.140414 | + | 0.140414i | ||||
\(56\) | −0.353197 | + | 0.333047i | −0.0471980 | + | 0.0445052i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −9.02560 | + | 1.90847i | −1.18512 | + | 0.250594i | ||||
\(59\) | −1.99344 | − | 2.59791i | −0.259524 | − | 0.338219i | 0.645358 | − | 0.763880i | \(-0.276708\pi\) |
−0.904882 | + | 0.425661i | \(0.860041\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −7.81078 | − | 5.99342i | −1.00007 | − | 0.767379i | −0.0274104 | − | 0.999624i | \(-0.508726\pi\) |
−0.972657 | + | 0.232245i | \(0.925393\pi\) | |||||||
\(62\) | 1.68197 | + | 4.76576i | 0.213610 | + | 0.605252i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −3.58659 | − | 7.15097i | −0.448323 | − | 0.893871i | ||||
\(65\) | 4.82597 | − | 2.78628i | 0.598588 | − | 0.345595i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 9.46982 | + | 1.24673i | 1.15692 | + | 0.152312i | 0.684468 | − | 0.729043i | \(-0.260035\pi\) |
0.472455 | + | 0.881355i | \(0.343368\pi\) | |||||||
\(68\) | 0.517885 | + | 3.31520i | 0.0628027 | + | 0.402027i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −0.307169 | − | 0.100165i | −0.0367138 | − | 0.0119720i | ||||
\(71\) | 0.107240 | + | 0.107240i | 0.0127271 | + | 0.0127271i | 0.713442 | − | 0.700715i | \(-0.247135\pi\) |
−0.700715 | + | 0.713442i | \(0.747135\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 3.93478 | − | 3.93478i | 0.460532 | − | 0.460532i | −0.438298 | − | 0.898830i | \(-0.644419\pi\) |
0.898830 | + | 0.438298i | \(0.144419\pi\) | |||||||
\(74\) | −11.7973 | + | 5.99532i | −1.37141 | + | 0.696942i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 4.39808 | + | 7.21123i | 0.504495 | + | 0.827185i | ||||
\(77\) | −0.0247862 | + | 0.188270i | −0.00282465 | + | 0.0214553i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 0.777341 | + | 1.34639i | 0.0874576 | + | 0.151481i | 0.906436 | − | 0.422344i | \(-0.138792\pi\) |
−0.818978 | + | 0.573825i | \(0.805459\pi\) | |||||||
\(80\) | 3.03425 | − | 4.37507i | 0.339240 | − | 0.489148i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −3.89461 | − | 1.86270i | −0.430088 | − | 0.205701i | ||||
\(83\) | −2.96167 | + | 3.85972i | −0.325085 | + | 0.423660i | −0.927093 | − | 0.374831i | \(-0.877701\pi\) |
0.602008 | + | 0.798490i | \(0.294368\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −1.77167 | + | 1.35945i | −0.192164 | + | 0.147453i | ||||
\(86\) | −10.4608 | − | 6.80905i | −1.12801 | − | 0.734239i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −2.85473 | − | 1.28188i | −0.304315 | − | 0.136649i | ||||
\(89\) | −10.7307 | + | 10.7307i | −1.13745 | + | 1.13745i | −0.148546 | + | 0.988905i | \(0.547459\pi\) |
−0.988905 | + | 0.148546i | \(0.952541\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0.663857 | + | 0.274979i | 0.0695912 | + | 0.0288256i | ||||
\(92\) | 3.13206 | − | 1.38655i | 0.326540 | − | 0.144558i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −0.960358 | − | 0.179043i | −0.0990534 | − | 0.0184669i | ||||
\(95\) | −2.81075 | + | 4.86836i | −0.288377 | + | 0.499484i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −6.90201 | − | 11.9546i | −0.700793 | − | 1.21381i | −0.968189 | − | 0.250222i | \(-0.919496\pi\) |
0.267396 | − | 0.963587i | \(-0.413837\pi\) | |||||||
\(98\) | 3.28078 | + | 9.29588i | 0.331408 | + | 0.939026i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −6.41970 | − | 0.688479i | −0.641970 | − | 0.0688479i | ||||
\(101\) | −0.397518 | − | 3.01945i | −0.0395545 | − | 0.300447i | −0.999775 | − | 0.0212041i | \(-0.993250\pi\) |
0.960221 | − | 0.279242i | \(-0.0900833\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 0.0191387 | + | 0.0714267i | 0.00188579 | + | 0.00703788i | 0.966862 | − | 0.255298i | \(-0.0821737\pi\) |
−0.964977 | + | 0.262336i | \(0.915507\pi\) | |||||||
\(104\) | −7.48114 | + | 9.17870i | −0.733586 | + | 0.900045i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −14.6136 | + | 7.42652i | −1.41940 | + | 0.721327i | ||||
\(107\) | −10.4670 | − | 4.33555i | −1.01188 | − | 0.419134i | −0.185739 | − | 0.982599i | \(-0.559468\pi\) |
−0.826140 | + | 0.563465i | \(0.809468\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 4.40564 | + | 10.6362i | 0.421984 | + | 1.01876i | 0.981762 | + | 0.190116i | \(0.0608866\pi\) |
−0.559778 | + | 0.828643i | \(0.689113\pi\) | |||||||
\(110\) | −0.161207 | − | 2.07643i | −0.0153705 | − | 0.197980i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0.685745 | − | 0.0330280i | 0.0647968 | − | 0.00312085i | ||||
\(113\) | 2.75339 | − | 4.76900i | 0.259017 | − | 0.448630i | −0.706962 | − | 0.707251i | \(-0.749935\pi\) |
0.965979 | + | 0.258621i | \(0.0832682\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 1.80855 | + | 1.38775i | 0.168648 | + | 0.129408i | ||||
\(116\) | 11.4522 | + | 6.24944i | 1.06331 | + | 0.580246i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −0.247260 | + | 4.62436i | −0.0227622 | + | 0.425707i | ||||
\(119\) | −0.278141 | − | 0.0745275i | −0.0254971 | − | 0.00683193i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 9.44281 | − | 2.53019i | 0.858437 | − | 0.230018i | ||||
\(122\) | 2.88040 | + | 13.6221i | 0.260780 | + | 1.23329i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 2.57546 | − | 6.66709i | 0.231283 | − | 0.598722i | ||||
\(125\) | −4.19129 | − | 10.1187i | −0.374881 | − | 0.905042i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | − | 10.3560i | − | 0.918945i | −0.888192 | − | 0.459473i | \(-0.848038\pi\) | ||
0.888192 | − | 0.459473i | \(-0.151962\pi\) | |||||||
\(128\) | −2.72256 | + | 10.9812i | −0.240643 | + | 0.970614i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −7.74729 | − | 1.44436i | −0.679483 | − | 0.126679i | ||||
\(131\) | 2.06427 | − | 15.6797i | 0.180356 | − | 1.36994i | −0.626605 | − | 0.779337i | \(-0.715556\pi\) |
0.806961 | − | 0.590604i | \(-0.201110\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −0.718664 | + | 0.0946140i | −0.0623161 | + | 0.00820407i | ||||
\(134\) | −9.02793 | − | 10.0479i | −0.779894 | − | 0.868006i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 2.49222 | − | 4.03810i | 0.213706 | − | 0.346265i | ||||
\(137\) | 3.67040 | − | 13.6981i | 0.313584 | − | 1.17031i | −0.611717 | − | 0.791077i | \(-0.709521\pi\) |
0.925301 | − | 0.379234i | \(-0.123812\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 13.6890 | + | 17.8398i | 1.16108 | + | 1.51315i | 0.819294 | + | 0.573374i | \(0.194366\pi\) |
0.341788 | + | 0.939777i | \(0.388968\pi\) | |||||||
\(140\) | 0.237913 | + | 0.390089i | 0.0201073 | + | 0.0329686i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −0.0166016 | − | 0.213837i | −0.00139318 | − | 0.0179448i | ||||
\(143\) | 4.63190i | 0.387339i | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 8.68280i | 0.721067i | ||||||||
\(146\) | −7.84596 | + | 0.609136i | −0.649336 | + | 0.0504124i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 18.1884 | + | 4.40738i | 1.49507 | + | 0.362284i | ||||
\(149\) | −8.89784 | − | 11.5959i | −0.728939 | − | 0.949972i | 0.270981 | − | 0.962585i | \(-0.412652\pi\) |
−0.999920 | + | 0.0126123i | \(0.995985\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −5.99430 | + | 22.3710i | −0.487809 | + | 1.82053i | 0.0792562 | + | 0.996854i | \(0.474745\pi\) |
−0.567065 | + | 0.823673i | \(0.691921\pi\) | |||||||
\(152\) | 1.90611 | − | 11.7922i | 0.154606 | − | 0.956476i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0.199762 | − | 0.179484i | 0.0160973 | − | 0.0144633i | ||||
\(155\) | 4.71604 | − | 0.620878i | 0.378801 | − | 0.0498702i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 1.66203 | − | 12.6244i | 0.132644 | − | 1.00753i | −0.787599 | − | 0.616188i | \(-0.788676\pi\) |
0.920244 | − | 0.391346i | \(-0.127990\pi\) | |||||||
\(158\) | 0.402960 | − | 2.16141i | 0.0320578 | − | 0.171952i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −7.28331 | + | 1.91031i | −0.575796 | + | 0.151023i | ||||
\(161\) | 0.293946i | 0.0231662i | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 0.0659393 | + | 0.159192i | 0.00516477 | + | 0.0124689i | 0.926441 | − | 0.376440i | \(-0.122852\pi\) |
−0.921276 | + | 0.388909i | \(0.872852\pi\) | |||||||
\(164\) | 2.47146 | + | 5.58276i | 0.192989 | + | 0.435940i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 6.73141 | − | 1.42336i | 0.522459 | − | 0.110474i | ||||
\(167\) | −13.7740 | + | 3.69073i | −1.06586 | + | 0.285598i | −0.748793 | − | 0.662804i | \(-0.769366\pi\) |
−0.317072 | + | 0.948402i | \(0.602700\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 4.37274 | + | 1.17167i | 0.336364 | + | 0.0901285i | ||||
\(170\) | 3.15363 | + | 0.168622i | 0.241872 | + | 0.0129327i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 4.97751 | + | 16.9354i | 0.379532 | + | 1.29131i | ||||
\(173\) | 2.80342 | + | 2.15114i | 0.213140 | + | 0.163548i | 0.709814 | − | 0.704389i | \(-0.248779\pi\) |
−0.496674 | + | 0.867937i | \(0.665446\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0.277041 | − | 0.479849i | 0.0209423 | − | 0.0362731i | ||||
\(176\) | 1.88832 | + | 4.00245i | 0.142337 | + | 0.301696i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 21.3970 | − | 1.66120i | 1.60377 | − | 0.124512i | ||||
\(179\) | 8.74430 | + | 21.1106i | 0.653580 | + | 1.57788i | 0.807546 | + | 0.589805i | \(0.200795\pi\) |
−0.153966 | + | 0.988076i | \(0.549205\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 13.6633 | + | 5.65954i | 1.01559 | + | 0.420670i | 0.827490 | − | 0.561480i | \(-0.189768\pi\) |
0.188098 | + | 0.982150i | \(0.439768\pi\) | |||||||
\(182\) | −0.460382 | − | 0.905919i | −0.0341257 | − | 0.0671511i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −4.64016 | − | 1.39052i | −0.342077 | − | 0.102510i | ||||
\(185\) | 3.22367 | + | 12.0309i | 0.237009 | + | 0.884530i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −0.242280 | − | 1.84030i | −0.0177173 | − | 0.134576i | ||||
\(188\) | 0.867165 | + | 1.07551i | 0.0632445 | + | 0.0784394i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 7.49681 | − | 2.64583i | 0.543876 | − | 0.191949i | ||||
\(191\) | 10.9654 | + | 18.9927i | 0.793431 | + | 1.37426i | 0.923831 | + | 0.382801i | \(0.125040\pi\) |
−0.130400 | + | 0.991461i | \(0.541626\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −6.84398 | + | 11.8541i | −0.492641 | + | 0.853278i | −0.999964 | − | 0.00847726i | \(-0.997302\pi\) |
0.507324 | + | 0.861756i | \(0.330635\pi\) | |||||||
\(194\) | −3.57788 | + | 19.1912i | −0.256877 | + | 1.37784i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 5.02357 | − | 13.0045i | 0.358827 | − | 0.928894i | ||||
\(197\) | −16.7997 | − | 6.95868i | −1.19693 | − | 0.495785i | −0.306926 | − | 0.951734i | \(-0.599300\pi\) |
−0.890006 | + | 0.455948i | \(0.849300\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 3.67634 | − | 3.67634i | 0.260609 | − | 0.260609i | −0.564693 | − | 0.825301i | \(-0.691005\pi\) |
0.825301 | + | 0.564693i | \(0.191005\pi\) | |||||||
\(200\) | 6.26422 | + | 6.64323i | 0.442948 | + | 0.469747i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −2.34958 | + | 3.60967i | −0.165316 | + | 0.253975i | ||||
\(203\) | −0.888242 | + | 0.681572i | −0.0623424 | + | 0.0478370i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −2.47359 | + | 3.22365i | −0.172763 | + | 0.225150i | ||||
\(206\) | 0.0451210 | − | 0.0943410i | 0.00314373 | − | 0.00657305i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 16.4785 | − | 2.98200i | 1.14258 | − | 0.206765i | ||||
\(209\) | −2.33630 | − | 4.04658i | −0.161605 | − | 0.279908i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −0.796970 | + | 6.05359i | −0.0548657 | + | 0.416746i | 0.941868 | + | 0.335984i | \(0.109069\pi\) |
−0.996733 | + | 0.0807624i | \(0.974265\pi\) | |||||||
\(212\) | 22.5303 | + | 5.45950i | 1.54739 | + | 0.374960i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 7.25878 | + | 14.2835i | 0.496200 | + | 0.976400i | ||||
\(215\) | −8.30695 | + | 8.30695i | −0.566529 | + | 0.566529i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0.433710 | + | 0.433710i | 0.0294421 | + | 0.0294421i | ||||
\(218\) | 5.04753 | − | 15.4789i | 0.341862 | − | 1.04837i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −1.73627 | + | 2.37917i | −0.117059 | + | 0.160403i | ||||
\(221\) | −6.96365 | − | 0.916782i | −0.468426 | − | 0.0616694i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 9.14774 | − | 5.28145i | 0.612578 | − | 0.353672i | −0.161396 | − | 0.986890i | \(-0.551600\pi\) |
0.773974 | + | 0.633218i | \(0.218266\pi\) | |||||||
\(224\) | −0.767139 | − | 0.595123i | −0.0512567 | − | 0.0397633i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −7.34380 | + | 2.59183i | −0.488503 | + | 0.172406i | ||||
\(227\) | 17.5336 | + | 13.4540i | 1.16375 | + | 0.892975i | 0.995685 | − | 0.0928016i | \(-0.0295822\pi\) |
0.168063 | + | 0.985776i | \(0.446249\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −0.633449 | − | 0.825527i | −0.0418595 | − | 0.0545523i | 0.771955 | − | 0.635678i | \(-0.219279\pi\) |
−0.813814 | + | 0.581125i | \(0.802613\pi\) | |||||||
\(230\) | −0.666943 | − | 3.15413i | −0.0439769 | − | 0.207977i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −6.55728 | − | 17.2458i | −0.430507 | − | 1.13224i | ||||
\(233\) | 14.9180 | + | 14.9180i | 0.977311 | + | 0.977311i | 0.999748 | − | 0.0224377i | \(-0.00714273\pi\) |
−0.0224377 | + | 0.999748i | \(0.507143\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −0.351866 | + | 0.849481i | −0.0229532 | + | 0.0554140i | ||||
\(236\) | 4.51820 | − | 4.74105i | 0.294110 | − | 0.308616i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0.230300 | + | 0.335850i | 0.0149281 | + | 0.0217699i | ||||
\(239\) | 11.0919 | + | 6.40393i | 0.717477 | + | 0.414236i | 0.813823 | − | 0.581112i | \(-0.197382\pi\) |
−0.0963462 | + | 0.995348i | \(0.530716\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −5.66423 | + | 3.27024i | −0.364865 | + | 0.210655i | −0.671213 | − | 0.741265i | \(-0.734226\pi\) |
0.306348 | + | 0.951920i | \(0.400893\pi\) | |||||||
\(242\) | −12.4721 | − | 5.96512i | −0.801740 | − | 0.383452i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 9.43212 | − | 17.2845i | 0.603830 | − | 1.10652i | ||||
\(245\) | 9.19890 | − | 1.21106i | 0.587696 | − | 0.0773716i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −17.0785 | + | 4.57617i | −1.08668 | + | 0.291174i | ||||
\(248\) | −8.89811 | + | 4.79476i | −0.565030 | + | 0.304468i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −4.80195 | + | 14.7258i | −0.303702 | + | 0.931344i | ||||
\(251\) | 3.69201 | − | 8.91330i | 0.233038 | − | 0.562603i | −0.763494 | − | 0.645815i | \(-0.776518\pi\) |
0.996532 | + | 0.0832121i | \(0.0265179\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −1.75059 | + | 0.725116i | −0.110058 | + | 0.0455877i | ||||
\(254\) | −9.52333 | + | 11.1265i | −0.597547 | + | 0.698140i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 13.0234 | − | 9.29463i | 0.813965 | − | 0.580915i | ||||
\(257\) | −0.809834 | − | 0.467558i | −0.0505160 | − | 0.0291654i | 0.474529 | − | 0.880240i | \(-0.342618\pi\) |
−0.525045 | + | 0.851074i | \(0.675952\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −0.977702 | + | 1.27417i | −0.0607515 | + | 0.0791729i | ||||
\(260\) | 6.99549 | + | 8.67620i | 0.433842 | + | 0.538075i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −16.6368 | + | 14.9480i | −1.02783 | + | 0.923492i | ||||
\(263\) | −1.81281 | + | 6.76551i | −0.111783 | + | 0.417179i | −0.999026 | − | 0.0441227i | \(-0.985951\pi\) |
0.887243 | + | 0.461302i | \(0.152617\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 3.99322 | + | 14.9029i | 0.245302 | + | 0.915478i | ||||
\(266\) | 0.859142 | + | 0.559227i | 0.0526774 | + | 0.0342884i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 0.459638 | + | 19.0975i | 0.0280768 | + | 1.16657i | ||||
\(269\) | −25.5646 | + | 10.5892i | −1.55870 | + | 0.645634i | −0.984863 | − | 0.173336i | \(-0.944545\pi\) |
−0.573836 | + | 0.818970i | \(0.694545\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −24.4270 | −1.48383 | −0.741917 | − | 0.670492i | \(-0.766083\pi\) | ||||
−0.741917 | + | 0.670492i | \(0.766083\pi\) | |||||||
\(272\) | −6.39108 | + | 2.04672i | −0.387516 | + | 0.124100i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −16.5402 | + | 11.3420i | −0.999232 | + | 0.685197i | ||||
\(275\) | 3.54113 | + | 0.466199i | 0.213538 | + | 0.0281129i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −3.34250 | − | 25.3888i | −0.200831 | − | 1.52547i | −0.733820 | − | 0.679344i | \(-0.762265\pi\) |
0.532989 | − | 0.846122i | \(-0.321069\pi\) | |||||||
\(278\) | 1.69793 | − | 31.7554i | 0.101835 | − | 1.90456i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0.103110 | − | 0.637897i | 0.00616201 | − | 0.0381216i | ||||
\(281\) | 8.11585 | + | 2.17463i | 0.484151 | + | 0.129728i | 0.492635 | − | 0.870236i | \(-0.336034\pi\) |
−0.00848391 | + | 0.999964i | \(0.502701\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 15.0033 | − | 11.5124i | 0.891851 | − | 0.684341i | −0.0575719 | − | 0.998341i | \(-0.518336\pi\) |
0.949423 | + | 0.314000i | \(0.101669\pi\) | |||||||
\(284\) | −0.178807 | + | 0.245014i | −0.0106102 | + | 0.0145389i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 4.25948 | − | 4.97654i | 0.251868 | − | 0.294269i | ||||
\(287\) | −0.523946 | −0.0309276 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −14.1853 | −0.834430 | ||||||||
\(290\) | 7.98467 | − | 9.32883i | 0.468876 | − | 0.547808i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 8.98988 | + | 6.56065i | 0.526093 | + | 0.383933i | ||||
\(293\) | 19.1345 | − | 14.6824i | 1.11785 | − | 0.857754i | 0.126888 | − | 0.991917i | \(-0.459501\pi\) |
0.990959 | + | 0.134163i | \(0.0428345\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 4.21019 | + | 1.12812i | 0.245126 | + | 0.0656814i | ||||
\(296\) | −15.4886 | − | 21.4612i | −0.900259 | − | 1.24741i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −1.10366 | + | 20.6411i | −0.0639333 | + | 1.19571i | ||||
\(299\) | 0.935866 | + | 7.10861i | 0.0541225 | + | 0.411101i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −1.50186 | − | 0.197724i | −0.0865659 | − | 0.0113966i | ||||
\(302\) | 27.0126 | − | 18.5232i | 1.55440 | − | 1.06589i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −12.8920 | + | 10.9168i | −0.739408 | + | 0.626120i | ||||
\(305\) | 13.1047 | 0.750375 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −0.622170 | + | 0.257711i | −0.0355091 | + | 0.0147083i | −0.400367 | − | 0.916355i | \(-0.631117\pi\) |
0.364858 | + | 0.931063i | \(0.381117\pi\) | |||||||
\(308\) | −0.379678 | + | 0.00913806i | −0.0216342 | + | 0.000520690i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −5.63789 | − | 3.66978i | −0.320211 | − | 0.208429i | ||||
\(311\) | 4.39213 | + | 16.3916i | 0.249055 | + | 0.929485i | 0.971302 | + | 0.237850i | \(0.0764426\pi\) |
−0.722247 | + | 0.691635i | \(0.756891\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 0.668229 | − | 2.49387i | 0.0377706 | − | 0.140962i | −0.944466 | − | 0.328610i | \(-0.893420\pi\) |
0.982236 | + | 0.187648i | \(0.0600865\pi\) | |||||||
\(314\) | −13.3950 | + | 12.0353i | −0.755923 | + | 0.679189i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −2.42056 | + | 1.95167i | −0.136167 | + | 0.109790i | ||||
\(317\) | −8.10471 | + | 10.5623i | −0.455206 | + | 0.593236i | −0.963420 | − | 0.267994i | \(-0.913639\pi\) |
0.508214 | + | 0.861231i | \(0.330306\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −6.25023 | − | 3.60857i | −0.349945 | − | 0.202041i | ||||
\(320\) | 9.58192 | + | 4.64526i | 0.535646 | + | 0.259678i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0.270312 | − | 0.315817i | 0.0150639 | − | 0.0175998i | ||||
\(323\) | 6.54609 | − | 2.71148i | 0.364234 | − | 0.150871i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 5.17203 | − | 12.4864i | 0.286893 | − | 0.692620i | ||||
\(326\) | 0.0755465 | − | 0.231674i | 0.00418413 | − | 0.0128312i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 2.47854 | − | 8.27088i | 0.136854 | − | 0.456683i | ||||
\(329\) | −0.114522 | + | 0.0306859i | −0.00631377 | + | 0.00169177i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −9.51917 | + | 1.25322i | −0.523221 | + | 0.0688833i | −0.387511 | − | 0.921865i | \(-0.626665\pi\) |
−0.135710 | + | 0.990749i | \(0.543332\pi\) | |||||||
\(332\) | −8.54117 | − | 4.66091i | −0.468758 | − | 0.255801i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 18.1928 | + | 8.70118i | 0.995468 | + | 0.476108i | ||||
\(335\) | −11.0104 | + | 6.35688i | −0.601564 | + | 0.347313i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 0.454491 | + | 0.262401i | 0.0247577 | + | 0.0142939i | 0.512328 | − | 0.858790i | \(-0.328783\pi\) |
−0.487570 | + | 0.873084i | \(0.662117\pi\) | |||||||
\(338\) | −3.62062 | − | 5.28000i | −0.196936 | − | 0.287194i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −3.23321 | − | 3.08123i | −0.175345 | − | 0.167103i | ||||
\(341\) | −1.51305 | + | 3.65283i | −0.0819364 | + | 0.197812i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 1.69552 | + | 1.69552i | 0.0915497 | + | 0.0915497i | ||||
\(344\) | 10.2258 | − | 22.7727i | 0.551339 | − | 1.22782i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −1.03383 | − | 4.88921i | −0.0555788 | − | 0.262845i | ||||
\(347\) | −21.8742 | − | 28.5070i | −1.17427 | − | 1.53034i | −0.796724 | − | 0.604344i | \(-0.793435\pi\) |
−0.377544 | − | 0.925992i | \(-0.623231\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −22.9357 | − | 17.5992i | −1.22772 | − | 0.942062i | −0.228217 | − | 0.973610i | \(-0.573290\pi\) |
−0.999502 | + | 0.0315480i | \(0.989956\pi\) | |||||||
\(350\) | −0.738920 | + | 0.260786i | −0.0394969 | + | 0.0139396i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 1.65183 | − | 6.03674i | 0.0880426 | − | 0.321759i | ||||
\(353\) | 1.05732 | − | 0.610443i | 0.0562754 | − | 0.0324906i | −0.471598 | − | 0.881813i | \(-0.656323\pi\) |
0.527874 | + | 0.849323i | \(0.322989\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −0.200144 | − | 0.0263494i | −0.0106225 | − | 0.00139848i | ||||
\(356\) | −24.5167 | − | 17.8918i | −1.29938 | − | 0.948264i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 10.0183 | − | 30.7225i | 0.529485 | − | 1.62374i | ||||
\(359\) | 6.44282 | + | 6.44282i | 0.340039 | + | 0.340039i | 0.856382 | − | 0.516343i | \(-0.172707\pi\) |
−0.516343 | + | 0.856382i | \(0.672707\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −0.822894 | + | 0.822894i | −0.0433102 | + | 0.0433102i | ||||
\(362\) | −9.47545 | − | 18.6454i | −0.498019 | − | 0.979980i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −0.338443 | + | 1.39669i | −0.0177392 | + | 0.0732063i | ||||
\(365\) | −0.966794 | + | 7.34353i | −0.0506043 | + | 0.384378i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −0.917382 | − | 1.58895i | −0.0478869 | − | 0.0829426i | 0.841088 | − | 0.540898i | \(-0.181915\pi\) |
−0.888975 | + | 0.457955i | \(0.848582\pi\) | |||||||
\(368\) | 3.70669 | + | 5.76105i | 0.193225 | + | 0.300316i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 7.60004 | − | 15.8905i | 0.395107 | − | 0.826109i | ||||
\(371\) | −1.21110 | + | 1.57833i | −0.0628771 | + | 0.0819430i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −9.61261 | + | 7.37602i | −0.497722 | + | 0.381916i | −0.826897 | − | 0.562353i | \(-0.809896\pi\) |
0.329175 | + | 0.944269i | \(0.393229\pi\) | |||||||
\(374\) | −1.43203 | + | 2.20003i | −0.0740484 | + | 0.113761i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0.0573458 | − | 1.95297i | 0.00295738 | − | 0.100717i | ||||
\(377\) | −19.3107 | + | 19.3107i | −0.994551 | + | 0.994551i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −28.0488 | − | 11.6182i | −1.44077 | − | 0.596786i | −0.480784 | − | 0.876839i | \(-0.659648\pi\) |
−0.959985 | + | 0.280053i | \(0.909648\pi\) | |||||||
\(380\) | −10.4877 | − | 4.05134i | −0.538008 | − | 0.207829i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 5.68429 | − | 30.4896i | 0.290834 | − | 1.55998i | ||||
\(383\) | 1.29677 | − | 2.24608i | 0.0662620 | − | 0.114769i | −0.830991 | − | 0.556286i | \(-0.812226\pi\) |
0.897253 | + | 0.441517i | \(0.145559\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −0.126381 | − | 0.218899i | −0.00644098 | − | 0.0111561i | ||||
\(386\) | 18.2542 | − | 6.44242i | 0.929114 | − | 0.327910i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 21.4922 | − | 17.3288i | 1.09110 | − | 0.879739i | ||||
\(389\) | 4.52357 | + | 34.3599i | 0.229354 | + | 1.74212i | 0.588195 | + | 0.808719i | \(0.299839\pi\) |
−0.358841 | + | 0.933399i | \(0.616828\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −0.743658 | − | 2.77537i | −0.0376084 | − | 0.140356i | ||||
\(392\) | −17.3562 | + | 9.35244i | −0.876623 | + | 0.472370i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 11.6505 | + | 22.9254i | 0.586945 | + | 1.15497i | ||||
\(395\) | −1.91187 | − | 0.791921i | −0.0961964 | − | 0.0398458i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 7.92586 | + | 19.1347i | 0.397788 | + | 0.960344i | 0.988190 | + | 0.153235i | \(0.0489691\pi\) |
−0.590402 | + | 0.807109i | \(0.701031\pi\) | |||||||
\(398\) | −7.33061 | + | 0.569126i | −0.367451 | + | 0.0285277i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −0.621219 | − | 12.8981i | −0.0310609 | − | 0.644903i | ||||
\(401\) | 9.24072 | − | 16.0054i | 0.461460 | − | 0.799271i | −0.537574 | − | 0.843216i | \(-0.680659\pi\) |
0.999034 | + | 0.0439449i | \(0.0139926\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 11.8694 | + | 9.10771i | 0.591257 | + | 0.453687i | ||||
\(404\) | 5.84383 | − | 1.71758i | 0.290741 | − | 0.0854526i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 1.58110 | + | 0.0845401i | 0.0784688 | + | 0.00419565i | ||||
\(407\) | −10.0001 | − | 2.67951i | −0.495686 | − | 0.132819i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −23.1765 | + | 6.21012i | −1.14600 | + | 0.307071i | −0.781362 | − | 0.624078i | \(-0.785475\pi\) |
−0.364641 | + | 0.931148i | \(0.618808\pi\) | |||||||
\(410\) | 5.62210 | − | 1.18880i | 0.277656 | − | 0.0587104i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −0.135234 | + | 0.0598673i | −0.00666249 | + | 0.00294945i | ||||
\(413\) | 0.215081 | + | 0.519252i | 0.0105834 | + | 0.0255507i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | − | 6.47575i | − | 0.317882i | ||||||
\(416\) | −20.4468 | − | 11.9496i | −1.00248 | − | 0.585880i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −1.21110 | + | 6.49611i | −0.0592366 | + | 0.317735i | ||||
\(419\) | 4.37862 | − | 33.2589i | 0.213910 | − | 1.62480i | −0.461346 | − | 0.887220i | \(-0.652633\pi\) |
0.675255 | − | 0.737584i | \(-0.264033\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 3.33774 | − | 0.439422i | 0.162672 | − | 0.0214161i | −0.0487505 | − | 0.998811i | \(-0.515524\pi\) |
0.211422 | + | 0.977395i | \(0.432191\pi\) | |||||||
\(422\) | 6.42313 | − | 5.77111i | 0.312673 | − | 0.280933i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −19.1861 | − | 26.5845i | −0.931758 | − | 1.29106i | ||||
\(425\) | −1.40178 | + | 5.23150i | −0.0679962 | + | 0.253765i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 1.02868 | + | 1.34060i | 0.0497813 | + | 0.0648763i | ||||
\(428\) | 5.33619 | − | 22.0214i | 0.257935 | − | 1.06444i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 16.5641 | − | 1.28598i | 0.798790 | − | 0.0620156i | ||||
\(431\) | − | 20.6971i | − | 0.996944i | −0.866906 | − | 0.498472i | \(-0.833895\pi\) | ||
0.866906 | − | 0.498472i | \(-0.166105\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 2.00407i | 0.0963096i | 0.998840 | + | 0.0481548i | \(0.0153341\pi\) | ||||
−0.998840 | + | 0.0481548i | \(0.984666\pi\) | |||||||
\(434\) | −0.0671417 | − | 0.864817i | −0.00322290 | − | 0.0415125i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −19.6575 | + | 11.9889i | −0.941421 | + | 0.574166i | ||||
\(437\) | −4.40313 | − | 5.73827i | −0.210630 | − | 0.274498i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −3.96881 | + | 14.8118i | −0.189421 | + | 0.706928i | 0.804220 | + | 0.594332i | \(0.202583\pi\) |
−0.993641 | + | 0.112597i | \(0.964083\pi\) | |||||||
\(440\) | 4.05333 | − | 0.959517i | 0.193235 | − | 0.0457432i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 6.63870 | + | 7.38874i | 0.315771 | + | 0.351446i | ||||
\(443\) | 5.26299 | − | 0.692885i | 0.250052 | − | 0.0329200i | −0.00445816 | − | 0.999990i | \(-0.501419\pi\) |
0.254510 | + | 0.967070i | \(0.418086\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 2.63658 | − | 20.0268i | 0.124986 | − | 0.949363i | ||||
\(446\) | −14.6852 | − | 2.73781i | −0.695363 | − | 0.129639i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0.276945 | + | 1.34486i | 0.0130844 | + | 0.0635387i | ||||
\(449\) | − | 12.3646i | − | 0.583520i | −0.956492 | − | 0.291760i | \(-0.905759\pi\) | ||
0.956492 | − | 0.291760i | \(-0.0942408\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −1.29249 | − | 3.12034i | −0.0608609 | − | 0.146931i | ||||
\(452\) | 10.2737 | + | 3.96866i | 0.483232 | + | 0.186670i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −6.46593 | − | 30.5789i | −0.303461 | − | 1.43514i | ||||
\(455\) | −0.923855 | + | 0.247546i | −0.0433110 | + | 0.0116051i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 23.7493 | + | 6.36361i | 1.11095 | + | 0.297677i | 0.767214 | − | 0.641391i | \(-0.221642\pi\) |
0.343731 | + | 0.939068i | \(0.388309\pi\) | |||||||
\(458\) | −0.0785710 | + | 1.46947i | −0.00367138 | + | 0.0686636i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −2.18396 | + | 4.00213i | −0.101828 | + | 0.186600i | ||||
\(461\) | −14.3124 | − | 10.9823i | −0.666596 | − | 0.511497i | 0.219136 | − | 0.975694i | \(-0.429676\pi\) |
−0.885732 | + | 0.464197i | \(0.846343\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 11.6229 | − | 20.1315i | 0.540164 | − | 0.935592i | −0.458730 | − | 0.888576i | \(-0.651696\pi\) |
0.998894 | − | 0.0470159i | \(-0.0149711\pi\) | |||||||
\(464\) | −8.81397 | + | 24.5590i | −0.409178 | + | 1.14012i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −2.30942 | − | 29.7465i | −0.106982 | − | 1.37798i | ||||
\(467\) | 12.3974 | + | 29.9300i | 0.573683 | + | 1.38499i | 0.898398 | + | 0.439181i | \(0.144731\pi\) |
−0.324715 | + | 0.945812i | \(0.605269\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −1.51459 | − | 0.627362i | −0.0699371 | − | 0.0289689i | ||||
\(470\) | 1.15923 | − | 0.589110i | 0.0534711 | − | 0.0271736i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −9.21423 | + | 0.938885i | −0.424119 | + | 0.0432157i | ||||
\(473\) | −2.52731 | − | 9.43204i | −0.116206 | − | 0.433686i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 1.77958 | + | 13.5172i | 0.0816527 | + | 0.620214i | ||||
\(476\) | 0.0614106 | − | 0.572621i | 0.00281475 | − | 0.0262460i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −6.02818 | − | 17.0805i | −0.275723 | − | 0.781244i | ||||
\(479\) | −21.1446 | − | 36.6236i | −0.966123 | − | 1.67337i | −0.706568 | − | 0.707645i | \(-0.749758\pi\) |
−0.259554 | − | 0.965729i | \(-0.583576\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −19.5874 | + | 33.9264i | −0.893110 | + | 1.54691i | ||||
\(482\) | 9.09297 | + | 1.69524i | 0.414174 | + | 0.0772160i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 7.91462 | + | 17.8783i | 0.359755 | + | 0.812649i | ||||
\(485\) | 16.9755 | + | 7.03146i | 0.770816 | + | 0.319282i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −8.93552 | + | 8.93552i | −0.404907 | + | 0.404907i | −0.879958 | − | 0.475051i | \(-0.842430\pi\) |
0.475051 | + | 0.879958i | \(0.342430\pi\) | |||||||
\(488\) | −26.0286 | + | 9.89675i | −1.17826 | + | 0.448005i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −10.9970 | − | 7.15810i | −0.496794 | − | 0.323370i | ||||
\(491\) | −5.13704 | + | 3.94179i | −0.231832 | + | 0.177891i | −0.718144 | − | 0.695894i | \(-0.755008\pi\) |
0.486313 | + | 0.873785i | \(0.338342\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 6.66225 | − | 8.68242i | 0.300053 | − | 0.391036i | ||||
\(494\) | 22.5574 | + | 10.7887i | 1.01491 | + | 0.485404i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 13.9694 | + | 3.03115i | 0.627245 | + | 0.136103i | ||||
\(497\) | −0.0130151 | − | 0.0225429i | −0.000583808 | − | 0.00101119i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 4.32559 | − | 32.8562i | 0.193640 | − | 1.47084i | −0.568099 | − | 0.822960i | \(-0.692321\pi\) |
0.761740 | − | 0.647883i | \(-0.224346\pi\) | |||||||
\(500\) | 18.7011 | − | 11.4056i | 0.836337 | − | 0.510076i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −12.1633 | + | 6.18133i | −0.542877 | + | 0.275886i | ||||
\(503\) | −14.8092 | + | 14.8092i | −0.660309 | + | 0.660309i | −0.955453 | − | 0.295144i | \(-0.904632\pi\) |
0.295144 | + | 0.955453i | \(0.404632\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 2.86645 | + | 2.86645i | 0.127556 | + | 0.127556i | ||||
\(506\) | 2.54765 | + | 0.830764i | 0.113257 | + | 0.0369319i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 20.4638 | − | 3.19676i | 0.907934 | − | 0.141833i | ||||
\(509\) | 2.82141 | + | 0.371446i | 0.125057 | + | 0.0164640i | 0.192795 | − | 0.981239i | \(-0.438245\pi\) |
−0.0677379 | + | 0.997703i | \(0.521578\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −0.827127 | + | 0.477542i | −0.0365899 | + | 0.0211252i | ||||
\(512\) | −22.5397 | − | 1.99011i | −0.996125 | − | 0.0879511i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 0.440124 | + | 1.24707i | 0.0194130 | + | 0.0550057i | ||||
\(515\) | −0.0780879 | − | 0.0599190i | −0.00344097 | − | 0.00264035i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −0.465254 | − | 0.606331i | −0.0204619 | − | 0.0266664i | ||||
\(518\) | 2.22217 | − | 0.469878i | 0.0976363 | − | 0.0206453i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0.462613 | − | 15.7548i | 0.0202869 | − | 0.690892i | ||||
\(521\) | 17.3570 | + | 17.3570i | 0.760426 | + | 0.760426i | 0.976399 | − | 0.215973i | \(-0.0692925\pi\) |
−0.215973 | + | 0.976399i | \(0.569292\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −11.8890 | + | 28.7025i | −0.519868 | + | 1.25507i | 0.418115 | + | 0.908394i | \(0.362691\pi\) |
−0.937984 | + | 0.346679i | \(0.887309\pi\) | |||||||
\(524\) | 31.6208 | − | 0.761047i | 1.38136 | − | 0.0332465i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 8.16922 | − | 5.60183i | 0.356195 | − | 0.244251i | ||||
\(527\) | −5.19223 | − | 2.99773i | −0.226177 | − | 0.130583i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 17.3785 | − | 10.0335i | 0.755585 | − | 0.436237i | ||||
\(530\) | 9.41432 | − | 19.6839i | 0.408932 | − | 0.855014i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −0.408803 | − | 1.39090i | −0.0177238 | − | 0.0603031i | ||||
\(533\) | −12.6708 | + | 1.66814i | −0.548832 | + | 0.0722551i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 14.5663 | − | 3.90303i | 0.629756 | − | 0.168743i | ||||
\(536\) | 17.0682 | − | 20.9411i | 0.737233 | − | 0.904520i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 37.2044 | + | 12.1320i | 1.60400 | + | 0.523048i | ||||
\(539\) | −2.95129 | + | 7.12505i | −0.127121 | + | 0.306898i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −21.3742 | + | 8.85350i | −0.918950 | + | 0.380642i | −0.791476 | − | 0.611200i | \(-0.790687\pi\) |
−0.127474 | + | 0.991842i | \(0.540687\pi\) | |||||||
\(542\) | 26.2444 | + | 22.4629i | 1.12730 | + | 0.964866i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 8.74875 | + | 3.67821i | 0.375100 | + | 0.157702i | ||||
\(545\) | −13.2709 | − | 7.66197i | −0.568463 | − | 0.328203i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 16.0779 | − | 20.9532i | 0.687443 | − | 0.895893i | −0.311071 | − | 0.950387i | \(-0.600688\pi\) |
0.998514 | + | 0.0544935i | \(0.0173544\pi\) | |||||||
\(548\) | 28.2010 | + | 3.02441i | 1.20469 | + | 0.129196i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −3.37589 | − | 3.75730i | −0.143949 | − | 0.160212i | ||||
\(551\) | 7.13029 | − | 26.6106i | 0.303761 | − | 1.13365i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −0.0690627 | − | 0.257745i | −0.00293684 | − | 0.0109604i | ||||
\(554\) | −19.7562 | + | 30.3516i | −0.839363 | + | 1.28952i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −31.0264 | + | 32.5568i | −1.31581 | + | 1.38071i | ||||
\(557\) | 4.58647 | − | 1.89978i | 0.194335 | − | 0.0804962i | −0.283394 | − | 0.959004i | \(-0.591460\pi\) |
0.477728 | + | 0.878508i | \(0.341460\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −36.9496 | −1.56280 | ||||||||
\(560\) | −0.697389 | + | 0.590539i | −0.0294701 | + | 0.0249548i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −6.71991 | − | 9.79973i | −0.283462 | − | 0.413377i | ||||
\(563\) | 25.4583 | + | 3.35165i | 1.07294 | + | 0.141255i | 0.646237 | − | 0.763136i | \(-0.276342\pi\) |
0.426703 | + | 0.904392i | \(0.359675\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 0.956743 | + | 7.26719i | 0.0402505 | + | 0.305733i | ||||
\(566\) | −26.7063 | − | 1.42796i | −1.12255 | − | 0.0600217i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0.417424 | − | 0.0988141i | 0.0175147 | − | 0.00414615i | ||||
\(569\) | −6.41471 | − | 1.71882i | −0.268919 | − | 0.0720566i | 0.121840 | − | 0.992550i | \(-0.461121\pi\) |
−0.390759 | + | 0.920493i | \(0.627787\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 9.90036 | − | 7.59681i | 0.414317 | − | 0.317917i | −0.380483 | − | 0.924788i | \(-0.624242\pi\) |
0.794800 | + | 0.606871i | \(0.207576\pi\) | |||||||
\(572\) | −9.15280 | + | 1.42981i | −0.382698 | + | 0.0597833i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0.562930 | + | 0.481819i | 0.0234962 | + | 0.0201107i | ||||
\(575\) | 5.52879 | 0.230566 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 4.77050 | 0.198599 | 0.0992993 | − | 0.995058i | \(-0.468340\pi\) | ||||
0.0992993 | + | 0.995058i | \(0.468340\pi\) | |||||||
\(578\) | 15.2408 | + | 13.0448i | 0.633932 | + | 0.542590i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −17.1575 | + | 2.68027i | −0.712427 | + | 0.111292i | ||||
\(581\) | 0.662463 | − | 0.508326i | 0.0274836 | − | 0.0210889i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −12.3873 | − | 3.31916i | −0.513029 | − | 0.137466i | ||||
\(584\) | −3.62562 | − | 15.3158i | −0.150029 | − | 0.633774i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −34.0600 | − | 1.82116i | −1.40701 | − | 0.0752313i | ||||
\(587\) | −2.57596 | − | 19.5663i | −0.106321 | − | 0.807589i | −0.958651 | − | 0.284585i | \(-0.908144\pi\) |
0.852330 | − | 0.523005i | \(-0.175189\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −14.9633 | − | 1.96996i | −0.616554 | − | 0.0811709i | ||||
\(590\) | −3.48603 | − | 5.08372i | −0.143518 | − | 0.209293i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −3.09462 | + | 37.3013i | −0.127188 | + | 1.53308i | ||||
\(593\) | 15.1394 | 0.621700 | 0.310850 | − | 0.950459i | \(-0.399386\pi\) | ||||
0.310850 | + | 0.950459i | \(0.399386\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0.354109 | − | 0.146677i | 0.0145170 | − | 0.00601315i | ||||
\(596\) | 20.1672 | − | 21.1619i | 0.826082 | − | 0.866827i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 5.53155 | − | 8.49813i | 0.226202 | − | 0.347514i | ||||
\(599\) | 12.0858 | + | 45.1048i | 0.493812 | + | 1.84293i | 0.536585 | + | 0.843846i | \(0.319714\pi\) |
−0.0427730 | + | 0.999085i | \(0.513619\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −10.6746 | + | 39.8381i | −0.435426 | + | 1.62503i | 0.304619 | + | 0.952474i | \(0.401471\pi\) |
−0.740045 | + | 0.672557i | \(0.765196\pi\) | |||||||
\(602\) | 1.43178 | + | 1.59354i | 0.0583550 | + | 0.0649479i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −46.0563 | − | 4.93929i | −1.87400 | − | 0.200977i | ||||
\(605\) | −7.92146 | + | 10.3234i | −0.322053 | + | 0.419708i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 10.2159 | + | 5.89815i | 0.414651 | + | 0.239399i | 0.692786 | − | 0.721143i | \(-0.256383\pi\) |
−0.278135 | + | 0.960542i | \(0.589716\pi\) | |||||||
\(608\) | 23.8903 | + | 0.126421i | 0.968878 | + | 0.00512705i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −14.0798 | − | 12.0511i | −0.570074 | − | 0.487933i | ||||
\(611\) | −2.67182 | + | 1.10670i | −0.108090 | + | 0.0447724i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 9.99410 | − | 24.1279i | 0.403658 | − | 0.974516i | −0.583113 | − | 0.812391i | \(-0.698165\pi\) |
0.986770 | − | 0.162125i | \(-0.0518347\pi\) | |||||||
\(614\) | 0.905451 | + | 0.295259i | 0.0365410 | + | 0.0119157i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0.416331 | + | 0.339333i | 0.0167745 | + | 0.0136721i | ||||
\(617\) | −3.50208 | + | 0.938379i | −0.140988 | + | 0.0377777i | −0.328623 | − | 0.944461i | \(-0.606585\pi\) |
0.187635 | + | 0.982239i | \(0.439918\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −48.6247 | + | 6.40156i | −1.95439 | + | 0.257300i | −0.999246 | − | 0.0388370i | \(-0.987635\pi\) |
−0.955145 | + | 0.296137i | \(0.904301\pi\) | |||||||
\(620\) | 2.68266 | + | 9.12740i | 0.107738 | + | 0.366565i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 10.3548 | − | 21.6502i | 0.415188 | − | 0.868095i | ||||
\(623\) | 2.25569 | − | 1.30232i | 0.0903723 | − | 0.0521765i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −1.35351 | − | 0.781451i | −0.0541405 | − | 0.0312581i | ||||
\(626\) | −3.01130 | + | 2.06492i | −0.120356 | + | 0.0825307i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 25.4592 | − | 0.612750i | 1.01593 | − | 0.0244514i | ||||
\(629\) | 6.00770 | − | 14.5039i | 0.239543 | − | 0.578307i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 22.5852 | + | 22.5852i | 0.899104 | + | 0.899104i | 0.995357 | − | 0.0962531i | \(-0.0306858\pi\) |
−0.0962531 | + | 0.995357i | \(0.530686\pi\) | |||||||
\(632\) | 4.39541 | + | 0.129064i | 0.174840 | + | 0.00513389i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 18.4208 | − | 3.89508i | 0.731582 | − | 0.154693i | ||||
\(635\) | 8.39150 | + | 10.9360i | 0.333006 | + | 0.433982i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 23.1519 | + | 17.7651i | 0.917312 | + | 0.703878i | ||||
\(638\) | 3.39684 | + | 9.62474i | 0.134482 | + | 0.381047i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −6.02309 | − | 13.8024i | −0.238084 | − | 0.545587i | ||||
\(641\) | 40.3410 | − | 23.2909i | 1.59337 | − | 0.919935i | 0.600652 | − | 0.799511i | \(-0.294908\pi\) |
0.992723 | − | 0.120424i | \(-0.0384255\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −8.91147 | − | 1.17322i | −0.351434 | − | 0.0462672i | −0.0472573 | − | 0.998883i | \(-0.515048\pi\) |
−0.304177 | + | 0.952616i | \(0.598381\pi\) | |||||||
\(644\) | −0.580848 | + | 0.0907374i | −0.0228886 | + | 0.00357555i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −9.52661 | − | 3.10653i | −0.374819 | − | 0.122225i | ||||
\(647\) | −26.5185 | − | 26.5185i | −1.04255 | − | 1.04255i | −0.999054 | − | 0.0434948i | \(-0.986151\pi\) |
−0.0434948 | − | 0.999054i | \(-0.513849\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −2.56181 | + | 2.56181i | −0.100560 | + | 0.100560i | ||||
\(650\) | −17.0393 | + | 8.65924i | −0.668336 | + | 0.339643i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −0.294214 | + | 0.179439i | −0.0115223 | + | 0.00702737i | ||||
\(653\) | 0.0108861 | − | 0.0826878i | 0.000426004 | − | 0.00323582i | −0.991231 | − | 0.132144i | \(-0.957814\pi\) |
0.991657 | + | 0.128908i | \(0.0411472\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 10.5254 | + | 18.2306i | 0.411262 | + | 0.712327i | ||||
\(656\) | −10.2688 | + | 6.60701i | −0.400930 | + | 0.257961i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0.151261 | + | 0.0723444i | 0.00589677 | + | 0.00282028i | ||||
\(659\) | 15.3957 | − | 20.0641i | 0.599731 | − | 0.781585i | −0.390562 | − | 0.920577i | \(-0.627719\pi\) |
0.990294 | + | 0.138991i | \(0.0443860\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 24.2705 | − | 18.6234i | 0.944011 | − | 0.724365i | −0.0172941 | − | 0.999850i | \(-0.505505\pi\) |
0.961305 | + | 0.275485i | \(0.0888385\pi\) | |||||||
\(662\) | 11.3799 | + | 7.40732i | 0.442292 | + | 0.287894i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 4.89051 | + | 12.8621i | 0.189789 | + | 0.499148i | ||||
\(665\) | 0.682249 | − | 0.682249i | 0.0264565 | − | 0.0264565i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −10.3214 | − | 4.27525i | −0.399644 | − | 0.165538i | ||||
\(668\) | −11.5449 | − | 26.0786i | −0.446685 | − | 1.00901i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 17.6754 | + | 3.29530i | 0.682860 | + | 0.127308i | ||||
\(671\) | −5.44632 | + | 9.43331i | −0.210253 | + | 0.364169i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −14.0254 | − | 24.2927i | −0.540640 | − | 0.936415i | −0.998867 | − | 0.0475804i | \(-0.984849\pi\) |
0.458228 | − | 0.888835i | \(-0.348484\pi\) | |||||||
\(674\) | −0.247005 | − | 0.699873i | −0.00951426 | − | 0.0269581i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −0.965456 | + | 9.00236i | −0.0371329 | + | 0.346244i | ||||
\(677\) | 4.72908 | + | 35.9209i | 0.181753 | + | 1.38055i | 0.802552 | + | 0.596583i | \(0.203475\pi\) |
−0.620798 | + | 0.783970i | \(0.713191\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 0.613207 | + | 2.28852i | 0.0235327 | + | 0.0878254i | ||||
\(680\) | 0.640282 | + | 6.28373i | 0.0245537 | + | 0.240970i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 4.98476 | − | 2.53322i | 0.190876 | − | 0.0970020i | ||||
\(683\) | 2.07795 | + | 0.860717i | 0.0795107 | + | 0.0329344i | 0.422084 | − | 0.906557i | \(-0.361299\pi\) |
−0.342574 | + | 0.939491i | \(0.611299\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 7.22367 | + | 17.4395i | 0.276002 | + | 0.666328i | ||||
\(686\) | −0.262481 | − | 3.38087i | −0.0100216 | − | 0.129082i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −31.9283 | + | 15.0635i | −1.21726 | + | 0.574289i | ||||
\(689\) | −24.2633 | + | 42.0253i | −0.924359 | + | 1.60104i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 29.9555 | + | 22.9857i | 1.13956 | + | 0.874416i | 0.993384 | − | 0.114843i | \(-0.0366364\pi\) |
0.146177 | + | 0.989258i | \(0.453303\pi\) | |||||||
\(692\) | −3.38535 | + | 6.20368i | −0.128692 | + | 0.235829i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −2.71320 | + | 50.7434i | −0.102992 | + | 1.92619i | ||||
\(695\) | −28.9113 | − | 7.74676i | −1.09667 | − | 0.293851i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 4.94697 | − | 1.32554i | 0.187380 | − | 0.0502083i | ||||
\(698\) | 8.45807 | + | 40.0002i | 0.320143 | + | 1.51403i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 1.03372 | + | 0.399319i | 0.0390708 | + | 0.0150928i | ||||
\(701\) | −17.1061 | − | 41.2978i | −0.646089 | − | 1.55980i | −0.818334 | − | 0.574743i | \(-0.805102\pi\) |
0.172245 | − | 0.985054i | \(-0.444898\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | − | 39.5190i | − | 1.49049i | ||||||
\(704\) | −7.32609 | + | 4.96688i | −0.276112 | + | 0.187196i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −1.69735 | − | 0.316443i | −0.0638805 | − | 0.0119095i | ||||
\(707\) | −0.0682280 | + | 0.518243i | −0.00256598 | + | 0.0194905i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 20.9338 | − | 2.75599i | 0.786186 | − | 0.103503i | 0.273265 | − | 0.961939i | \(-0.411896\pi\) |
0.512922 | + | 0.858435i | \(0.328563\pi\) | |||||||
\(710\) | 0.190804 | + | 0.212361i | 0.00716076 | + | 0.00796977i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 9.88756 | + | 41.7684i | 0.370552 | + | 1.56534i | ||||
\(713\) | −1.58404 | + | 5.91173i | −0.0593228 | + | 0.221396i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −3.75325 | − | 4.89133i | −0.140364 | − | 0.182925i | ||||
\(716\) | −39.0160 | + | 23.7956i | −1.45810 | + | 0.889284i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −0.997400 | − | 12.8470i | −0.0372226 | − | 0.479445i | ||||
\(719\) | − | 24.2360i | − | 0.903851i | −0.892056 | − | 0.451926i | \(-0.850737\pi\) | ||
0.892056 | − | 0.451926i | \(-0.149263\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | − | 0.0126918i | − | 0.000472666i | ||||||
\(722\) | 1.64085 | − | 0.127391i | 0.0610661 | − | 0.00474098i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −6.96575 | + | 28.7463i | −0.258880 | + | 1.06835i | ||||
\(725\) | 12.8196 | + | 16.7068i | 0.476108 | + | 0.620475i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 1.48029 | − | 5.52453i | 0.0549010 | − | 0.204893i | −0.933027 | − | 0.359806i | \(-0.882843\pi\) |
0.987928 | + | 0.154912i | \(0.0495096\pi\) | |||||||
\(728\) | 1.64801 | − | 1.18938i | 0.0610794 | − | 0.0440812i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 7.79181 | − | 7.00086i | 0.288388 | − | 0.259113i | ||||
\(731\) | 14.6805 | − | 1.93272i | 0.542976 | − | 0.0714842i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −2.43834 | + | 18.5210i | −0.0900622 | + | 0.684090i | 0.885543 | + | 0.464557i | \(0.153787\pi\) |
−0.975605 | + | 0.219533i | \(0.929547\pi\) | |||||||
\(734\) | −0.475555 | + | 2.55080i | −0.0175531 | + | 0.0941516i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 1.31536 | − | 9.59836i | 0.0484847 | − | 0.353800i | ||||
\(737\) | − | 10.5677i | − | 0.389265i | ||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 12.0562 | + | 29.1063i | 0.443496 | + | 1.07069i | 0.974714 | + | 0.223458i | \(0.0717346\pi\) |
−0.531218 | + | 0.847235i | \(0.678265\pi\) | |||||||
\(740\) | −22.7784 | + | 10.0839i | −0.837350 | + | 0.370690i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 2.75264 | − | 0.582047i | 0.101053 | − | 0.0213676i | ||||
\(743\) | −9.54537 | + | 2.55767i | −0.350186 | + | 0.0938319i | −0.429624 | − | 0.903008i | \(-0.641354\pi\) |
0.0794385 | + | 0.996840i | \(0.474687\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 18.7924 | + | 5.03540i | 0.688500 | + | 0.184483i | ||||
\(746\) | 17.1108 | + | 0.914898i | 0.626470 | + | 0.0334968i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 3.56171 | − | 1.04683i | 0.130229 | − | 0.0382760i | ||||
\(749\) | 1.54268 | + | 1.18374i | 0.0563685 | + | 0.0432531i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 3.85776 | − | 6.68183i | 0.140772 | − | 0.243823i | −0.787016 | − | 0.616933i | \(-0.788375\pi\) |
0.927787 | + | 0.373109i | \(0.121708\pi\) | |||||||
\(752\) | −1.85755 | + | 2.04554i | −0.0677381 | + | 0.0745933i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 38.5055 | − | 2.98945i | 1.40229 | − | 0.108869i | ||||
\(755\) | −11.7973 | − | 28.4812i | −0.429347 | − | 1.03654i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −8.34229 | − | 3.45549i | −0.303206 | − | 0.125592i | 0.225893 | − | 0.974152i | \(-0.427470\pi\) |
−0.529099 | + | 0.848560i | \(0.677470\pi\) | |||||||
\(758\) | 19.4517 | + | 38.2762i | 0.706517 | + | 1.39025i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 7.54243 | + | 13.9972i | 0.273593 | + | 0.507733i | ||||
\(761\) | 4.96391 | + | 18.5256i | 0.179942 | + | 0.671551i | 0.995657 | + | 0.0930979i | \(0.0296769\pi\) |
−0.815715 | + | 0.578454i | \(0.803656\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −0.257913 | − | 1.95904i | −0.00933707 | − | 0.0709221i | ||||
\(764\) | −34.1453 | + | 27.5309i | −1.23533 | + | 0.996032i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −3.45874 | + | 1.22069i | −0.124969 | + | 0.0441052i | ||||
\(767\) | 6.85457 | + | 11.8725i | 0.247504 | + | 0.428690i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −3.01344 | + | 5.21944i | −0.108668 | + | 0.188218i | −0.915231 | − | 0.402930i | \(-0.867992\pi\) |
0.806563 | + | 0.591148i | \(0.201325\pi\) | |||||||
\(770\) | −0.0655138 | + | 0.351405i | −0.00236095 | + | 0.0126638i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −25.5368 | − | 9.86473i | −0.919090 | − | 0.355039i | ||||
\(773\) | 24.7943 | + | 10.2701i | 0.891790 | + | 0.369391i | 0.781058 | − | 0.624459i | \(-0.214680\pi\) |
0.110732 | + | 0.993850i | \(0.464680\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 8.15758 | − | 8.15758i | 0.293029 | − | 0.293029i | ||||
\(776\) | −39.0268 | − | 1.14596i | −1.40098 | − | 0.0411376i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 26.7371 | − | 41.0763i | 0.958572 | − | 1.47266i | ||||
\(779\) | 10.2282 | − | 7.84837i | 0.366463 | − | 0.281197i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 0.102147 | − | 0.133121i | 0.00365511 | − | 0.00476343i | ||||
\(782\) | −1.75323 | + | 3.66573i | −0.0626953 | + | 0.131086i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 27.2481 | + | 5.91243i | 0.973146 | + | 0.211158i | ||||
\(785\) | 8.47445 | + | 14.6782i | 0.302466 | + | 0.523886i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 1.91884 | − | 14.5750i | 0.0683993 | − | 0.519544i | −0.922608 | − | 0.385738i | \(-0.873947\pi\) |
0.991008 | − | 0.133806i | \(-0.0427199\pi\) | |||||||
\(788\) | 8.56473 | − | 35.3449i | 0.305106 | − | 1.25911i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 1.32587 | + | 2.60899i | 0.0471723 | + | 0.0928236i | ||||
\(791\) | −0.668325 | + | 0.668325i | −0.0237629 | + | 0.0237629i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 29.1451 | + | 29.1451i | 1.03497 | + | 1.03497i | ||||
\(794\) | 9.08063 | − | 27.8470i | 0.322260 | − | 0.988253i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 8.39941 | + | 6.12973i | 0.297709 | + | 0.217263i | ||||
\(797\) | −5.07542 | − | 0.668191i | −0.179780 | − | 0.0236686i | 0.0400984 | − | 0.999196i | \(-0.487233\pi\) |
−0.219879 | + | 0.975527i | \(0.570566\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 1.00365 | − | 0.579458i | 0.0355066 | − | 0.0204998i | ||||
\(800\) | −11.1936 | + | 14.4290i | −0.395752 | + | 0.510142i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −24.6468 | + | 8.69853i | −0.870308 | + | 0.307156i | ||||
\(803\) | −4.88437 | − | 3.74791i | −0.172366 | − | 0.132261i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −0.238186 | − | 0.310410i | −0.00839494 | − | 0.0109405i | ||||
\(806\) | −4.37711 | − | 20.7004i | −0.154177 | − | 0.729141i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −7.85811 | − | 3.52859i | −0.276447 | − | 0.124135i | ||||
\(809\) | 25.1234 | + | 25.1234i | 0.883292 | + | 0.883292i | 0.993868 | − | 0.110576i | \(-0.0352695\pi\) |
−0.110576 | + | 0.993868i | \(0.535269\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 9.44355 | − | 22.7987i | 0.331608 | − | 0.800572i | −0.666857 | − | 0.745186i | \(-0.732361\pi\) |
0.998465 | − | 0.0553866i | \(-0.0176391\pi\) | |||||||
\(812\) | −1.62100 | − | 1.54481i | −0.0568859 | − | 0.0542120i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 8.28005 | + | 12.0749i | 0.290216 | + | 0.423225i | ||||
\(815\) | −0.198626 | − | 0.114677i | −0.00695757 | − | 0.00401695i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 32.2804 | − | 18.6371i | 1.12935 | − | 0.652029i | ||||
\(818\) | 30.6117 | + | 14.6408i | 1.07031 | + | 0.511904i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −7.13361 | − | 3.89281i | −0.249117 | − | 0.135943i | ||||
\(821\) | −14.9037 | + | 1.96211i | −0.520143 | + | 0.0684782i | −0.386027 | − | 0.922487i | \(-0.626153\pi\) |
−0.134116 | + | 0.990966i | \(0.542820\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 7.66921 | − | 2.05496i | 0.267332 | − | 0.0716314i | −0.122663 | − | 0.992448i | \(-0.539143\pi\) |
0.389995 | + | 0.920817i | \(0.372477\pi\) | |||||||
\(824\) | 0.200349 | + | 0.0600387i | 0.00697950 | + | 0.00209155i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0.246418 | − | 0.755674i | 0.00857397 | − | 0.0262932i | ||||
\(827\) | 8.68350 | − | 20.9638i | 0.301955 | − | 0.728983i | −0.697963 | − | 0.716134i | \(-0.745910\pi\) |
0.999917 | − | 0.0128492i | \(-0.00409015\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 12.1233 | − | 5.02164i | 0.421060 | − | 0.174409i | −0.162085 | − | 0.986777i | \(-0.551822\pi\) |
0.583145 | + | 0.812368i | \(0.301822\pi\) | |||||||
\(830\) | −5.95507 | + | 6.95757i | −0.206704 | + | 0.241501i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 10.9792 | + | 31.6415i | 0.380636 | + | 1.09697i | ||||
\(833\) | −10.1277 | − | 5.84724i | −0.350905 | − | 0.202595i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 11.5549 | − | 15.0586i | 0.399872 | − | 0.521124i | ||||
\(836\) | 7.27500 | − | 5.86573i | 0.251611 | − | 0.202870i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −35.2892 | + | 31.7069i | −1.21904 | + | 1.09530i | ||||
\(839\) | 3.54691 | − | 13.2373i | 0.122453 | − | 0.457001i | −0.877283 | − | 0.479973i | \(-0.840646\pi\) |
0.999736 | + | 0.0229725i | \(0.00731301\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −3.50747 | − | 13.0901i | −0.120947 | − | 0.451382i | ||||
\(842\) | −3.99017 | − | 2.59726i | −0.137510 | − | 0.0895073i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −12.2081 | + | 0.293824i | −0.420221 | + | 0.0101138i | ||||
\(845\) | −5.56705 | + | 2.30595i | −0.191512 | + | 0.0793271i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −1.67789 | −0.0576529 | ||||||||
\(848\) | −3.83337 | + | 46.2059i | −0.131638 | + | 1.58672i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 6.31694 | − | 4.33168i | 0.216669 | − | 0.148575i | ||||
\(851\) | −15.8886 | − | 2.09177i | −0.544653 | − | 0.0717049i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −1.05384 | − | 8.00474i | −0.0360829 | − | 0.274077i | −0.999970 | − | 0.00776524i | \(-0.997528\pi\) |
0.963887 | − | 0.266312i | \(-0.0858051\pi\) | |||||||
\(854\) | 0.127594 | − | 2.38632i | 0.00436619 | − | 0.0816581i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −25.9840 | + | 18.7527i | −0.888115 | + | 0.640955i | ||||
\(857\) | −20.5111 | − | 5.49593i | −0.700645 | − | 0.187737i | −0.109126 | − | 0.994028i | \(-0.534805\pi\) |
−0.591520 | + | 0.806291i | \(0.701472\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 23.7276 | − | 18.2069i | 0.809577 | − | 0.621210i | −0.118772 | − | 0.992922i | \(-0.537896\pi\) |
0.928348 | + | 0.371712i | \(0.121229\pi\) | |||||||
\(860\) | −18.9791 | − | 13.8506i | −0.647181 | − | 0.472301i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −19.0330 | + | 22.2370i | −0.648265 | + | 0.757396i | ||||
\(863\) | 50.2980 | 1.71216 | 0.856082 | − | 0.516840i | \(-0.172892\pi\) | ||||
0.856082 | + | 0.516840i | \(0.172892\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −4.70351 | −0.159924 | ||||||||
\(866\) | 1.84294 | − | 2.15318i | 0.0626255 | − | 0.0731681i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −0.723145 | + | 0.990906i | −0.0245451 | + | 0.0336335i | ||||
\(869\) | 1.36463 | − | 1.04711i | 0.0462918 | − | 0.0355209i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −38.6252 | − | 10.3496i | −1.30876 | − | 0.350682i | ||||
\(872\) | 32.1450 | + | 5.19595i | 1.08857 | + | 0.175957i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −0.546150 | + | 10.2143i | −0.0184738 | + | 0.345504i | ||||
\(875\) | 0.245365 | + | 1.86373i | 0.00829483 | + | 0.0630055i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 24.3855 | + | 3.21041i | 0.823439 | + | 0.108408i | 0.530459 | − | 0.847711i | \(-0.322020\pi\) |
0.292980 | + | 0.956118i | \(0.405353\pi\) | |||||||
\(878\) | 17.8850 | − | 12.2641i | 0.603588 | − | 0.413895i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −5.23728 | − | 2.69651i | −0.176549 | − | 0.0908995i | ||||
\(881\) | −14.3584 | −0.483747 | −0.241873 | − | 0.970308i | \(-0.577762\pi\) | ||||
−0.241873 | + | 0.970308i | \(0.577762\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 38.1415 | − | 15.7987i | 1.28357 | − | 0.531670i | 0.366504 | − | 0.930417i | \(-0.380555\pi\) |
0.917061 | + | 0.398746i | \(0.130555\pi\) | |||||||
\(884\) | −0.337996 | − | 14.0434i | −0.0113680 | − | 0.472331i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −6.29175 | − | 4.09538i | −0.211375 | − | 0.137587i | ||||
\(887\) | 2.79505 | + | 10.4313i | 0.0938486 | + | 0.350248i | 0.996842 | − | 0.0794060i | \(-0.0253023\pi\) |
−0.902994 | + | 0.429654i | \(0.858636\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −0.460038 | + | 1.71688i | −0.0154292 | + | 0.0575825i | ||||
\(890\) | −21.2493 | + | 19.0923i | −0.712280 | + | 0.639976i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 13.2601 | + | 16.4459i | 0.443981 | + | 0.550650i | ||||
\(893\) | 1.77597 | − | 2.31449i | 0.0594307 | − | 0.0774516i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −26.3401 | − | 15.2074i | −0.880451 | − | 0.508329i | ||||
\(896\) | 0.939177 | − | 1.69960i | 0.0313757 | − | 0.0567797i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −11.3704 | + | 13.2845i | −0.379435 | + | 0.443310i | ||||
\(899\) | −21.5369 | + | 8.92087i | −0.718295 | + | 0.297528i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 7.44185 | − | 17.9662i | 0.247924 | − | 0.598542i | ||||
\(902\) | −1.48080 | + | 4.54107i | −0.0493052 | + | 0.151201i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −7.38849 | − | 13.7115i | −0.245738 | − | 0.456039i | ||||
\(905\) | −19.0145 | + | 5.09493i | −0.632065 | + | 0.169361i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −38.5303 | + | 5.07261i | −1.27938 | + | 0.168433i | −0.739411 | − | 0.673254i | \(-0.764896\pi\) |
−0.539965 | + | 0.841687i | \(0.681563\pi\) | |||||||
\(908\) | −21.1732 | + | 38.8001i | −0.702658 | + | 1.28763i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 1.22024 | + | 0.583609i | 0.0404504 | + | 0.0193464i | ||||
\(911\) | 15.1765 | − | 8.76218i | 0.502821 | − | 0.290304i | −0.227057 | − | 0.973882i | \(-0.572910\pi\) |
0.729878 | + | 0.683578i | \(0.239577\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 4.66150 | + | 2.69132i | 0.154273 | + | 0.0890697i | ||||
\(914\) | −19.6644 | − | 28.6768i | −0.650440 | − | 0.948546i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 1.43573 | − | 1.50655i | 0.0474379 | − | 0.0497777i | ||||
\(917\) | −1.03876 | + | 2.50778i | −0.0343028 | + | 0.0828143i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 9.98940 | + | 9.98940i | 0.329520 | + | 0.329520i | 0.852404 | − | 0.522884i | \(-0.175144\pi\) |
−0.522884 | + | 0.852404i | \(0.675144\pi\) | |||||||
\(920\) | 6.02679 | − | 2.29154i | 0.198698 | − | 0.0755499i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 5.27804 | + | 24.9611i | 0.173823 | + | 0.822050i | ||||
\(923\) | −0.386521 | − | 0.503724i | −0.0127225 | − | 0.0165803i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 23.9656 | + | 18.3894i | 0.787984 | + | 0.604641i | ||||
\(926\) | −31.0006 | + | 10.9410i | −1.01874 | + | 0.359543i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 32.0541 | − | 18.2810i | 1.05223 | − | 0.600102i | ||||
\(929\) | −29.8614 | + | 17.2405i | −0.979720 | + | 0.565642i | −0.902186 | − | 0.431348i | \(-0.858038\pi\) |
−0.0775347 | + | 0.996990i | \(0.524705\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −29.1868 | − | 3.84252i | −0.956560 | − | 0.125933i | ||||
\(932\) | −24.8735 | + | 34.0835i | −0.814758 | + | 1.11644i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 14.2037 | − | 43.5575i | 0.464758 | − | 1.42524i | ||||
\(935\) | 1.74705 | + | 1.74705i | 0.0571348 | + | 0.0571348i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 15.4659 | − | 15.4659i | 0.505248 | − | 0.505248i | −0.407816 | − | 0.913064i | \(-0.633710\pi\) |
0.913064 | + | 0.407816i | \(0.133710\pi\) | |||||||
\(938\) | 1.05036 | + | 2.06685i | 0.0342954 | + | 0.0674850i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −1.78722 | − | 0.433077i | −0.0582927 | − | 0.0141254i | ||||
\(941\) | −3.30725 | + | 25.1210i | −0.107813 | + | 0.818922i | 0.849036 | + | 0.528336i | \(0.177184\pi\) |
−0.956849 | + | 0.290586i | \(0.906150\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −2.61404 | − | 4.52766i | −0.0851250 | − | 0.147441i | ||||
\(944\) | 10.7632 | + | 7.46462i | 0.350312 | + | 0.242953i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −5.95832 | + | 12.4579i | −0.193722 | + | 0.405042i | ||||
\(947\) | −25.8695 | + | 33.7138i | −0.840645 | + | 1.09555i | 0.153569 | + | 0.988138i | \(0.450923\pi\) |
−0.994215 | + | 0.107412i | \(0.965744\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −18.4823 | + | 14.1820i | −0.599961 | + | 0.460366i | ||||
\(950\) | 10.5184 | − | 16.1595i | 0.341262 | − | 0.524283i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −0.592560 | + | 0.558753i | −0.0192050 | + | 0.0181093i | ||||
\(953\) | 11.7909 | − | 11.7909i | 0.381943 | − | 0.381943i | −0.489859 | − | 0.871802i | \(-0.662952\pi\) |
0.871802 | + | 0.489859i | \(0.162952\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −26.9694 | − | 11.1711i | −0.872710 | − | 0.361488i | ||||
\(956\) | −9.23045 | + | 23.8948i | −0.298534 | + | 0.772814i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −10.9610 | + | 58.7930i | −0.354134 | + | 1.89952i | ||||
\(959\) | −1.21701 | + | 2.10792i | −0.0392992 | + | 0.0680682i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −9.11462 | − | 15.7870i | −0.294020 | − | 0.509258i | ||||
\(962\) | 52.2434 | − | 18.4382i | 1.68440 | − | 0.594470i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −8.21059 | − | 10.1832i | −0.264445 | − | 0.327980i | ||||
\(965\) | −2.37814 | − | 18.0638i | −0.0765550 | − | 0.581493i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 5.66820 | + | 21.1540i | 0.182277 | + | 0.680267i | 0.995197 | + | 0.0978919i | \(0.0312099\pi\) |
−0.812920 | + | 0.582375i | \(0.802123\pi\) | |||||||
\(968\) | 7.93729 | − | 26.4867i | 0.255114 | − | 0.851316i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −11.7724 | − | 23.1652i | −0.377989 | − | 0.743789i | ||||
\(971\) | −52.9107 | − | 21.9163i | −1.69798 | − | 0.703328i | −0.698065 | − | 0.716035i | \(-0.745955\pi\) |
−0.999919 | + | 0.0127064i | \(0.995955\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −1.47696 | − | 3.56569i | −0.0473491 | − | 0.114311i | ||||
\(974\) | 17.8174 | − | 1.38329i | 0.570907 | − | 0.0443235i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 37.0663 | + | 13.3027i | 1.18646 | + | 0.425809i | ||||
\(977\) | −10.6302 | + | 18.4121i | −0.340091 | + | 0.589054i | −0.984449 | − | 0.175669i | \(-0.943791\pi\) |
0.644359 | + | 0.764723i | \(0.277124\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 13.3203 | + | 10.2211i | 0.425720 | + | 0.326667i | ||||
\(980\) | 5.23267 | + | 17.8035i | 0.167152 | + | 0.568712i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 9.14412 | + | 0.488927i | 0.291800 | + | 0.0156023i | ||||
\(983\) | −10.1671 | − | 2.72427i | −0.324281 | − | 0.0868908i | 0.0930062 | − | 0.995666i | \(-0.470352\pi\) |
−0.417287 | + | 0.908775i | \(0.637019\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 23.3793 | − | 6.26447i | 0.744927 | − | 0.199602i | ||||
\(986\) | −15.1423 | + | 3.20184i | −0.482228 | + | 0.101967i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −14.3146 | − | 32.3351i | −0.455407 | − | 1.02872i | ||||
\(989\) | −5.78439 | − | 13.9648i | −0.183933 | − | 0.444054i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 28.2543i | 0.897526i | 0.893651 | + | 0.448763i | \(0.148135\pi\) | ||||
−0.893651 | + | 0.448763i | \(0.851865\pi\) | |||||||
\(992\) | −12.2213 | − | 16.1029i | −0.388028 | − | 0.511267i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −0.00674682 | + | 0.0361888i | −0.000213996 | + | 0.00114784i | ||||
\(995\) | −0.903293 | + | 6.86119i | −0.0286363 | + | 0.217514i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −24.2150 | + | 3.18796i | −0.766897 | + | 0.100964i | −0.503817 | − | 0.863810i | \(-0.668071\pi\) |
−0.263079 | + | 0.964774i | \(0.584738\pi\) | |||||||
\(998\) | −34.8618 | + | 31.3230i | −1.10353 | + | 0.991511i | ||||
\(999\) | 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.395.10 | 368 | ||
3.2 | odd | 2 | 288.2.bf.a.203.37 | yes | 368 | ||
9.2 | odd | 6 | inner | 864.2.bn.a.683.25 | 368 | ||
9.7 | even | 3 | 288.2.bf.a.11.22 | ✓ | 368 | ||
32.3 | odd | 8 | inner | 864.2.bn.a.611.25 | 368 | ||
96.35 | even | 8 | 288.2.bf.a.131.22 | yes | 368 | ||
288.227 | even | 24 | inner | 864.2.bn.a.35.10 | 368 | ||
288.259 | odd | 24 | 288.2.bf.a.227.37 | yes | 368 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
288.2.bf.a.11.22 | ✓ | 368 | 9.7 | even | 3 | ||
288.2.bf.a.131.22 | yes | 368 | 96.35 | even | 8 | ||
288.2.bf.a.203.37 | yes | 368 | 3.2 | odd | 2 | ||
288.2.bf.a.227.37 | yes | 368 | 288.259 | odd | 24 | ||
864.2.bn.a.35.10 | 368 | 288.227 | even | 24 | inner | ||
864.2.bn.a.395.10 | 368 | 1.1 | even | 1 | trivial | ||
864.2.bn.a.611.25 | 368 | 32.3 | odd | 8 | inner | ||
864.2.bn.a.683.25 | 368 | 9.2 | odd | 6 | inner |