Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [304,2,Mod(3,304)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(304, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([18, 27, 26]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("304.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 304 = 2^{4} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 304.bg (of order \(36\), degree \(12\), 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: | \(2.42745222145\) |
Analytic rank: | \(0\) |
Dimension: | \(456\) |
Relative dimension: | \(38\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 203.23 | ||
Character | \(\chi\) | \(=\) | 304.203 |
Dual form | 304.2.bg.a.3.23 |
$q$-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 \(\left(\mathbb{Z}/304\mathbb{Z}\right)^\times\).
\(n\) | \(97\) | \(191\) | \(229\) |
\(\chi(n)\) | \(e\left(\frac{5}{18}\right)\) | \(-1\) | \(e\left(\frac{1}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.278524 | − | 1.38652i | 0.196946 | − | 0.980414i | ||||
\(3\) | −1.52751 | + | 0.712288i | −0.881907 | + | 0.411240i | −0.810178 | − | 0.586184i | \(-0.800629\pi\) |
−0.0717289 | + | 0.997424i | \(0.522852\pi\) | |||||||
\(4\) | −1.84485 | − | 0.772356i | −0.922424 | − | 0.386178i | ||||
\(5\) | −0.0344794 | + | 0.0492417i | −0.0154197 | + | 0.0220216i | −0.826788 | − | 0.562514i | \(-0.809834\pi\) |
0.811368 | + | 0.584535i | \(0.198723\pi\) | |||||||
\(6\) | 0.562151 | + | 2.31630i | 0.229497 | + | 0.945626i | ||||
\(7\) | 2.22167 | − | 3.84804i | 0.839711 | − | 1.45442i | −0.0504253 | − | 0.998728i | \(-0.516058\pi\) |
0.890136 | − | 0.455694i | \(-0.150609\pi\) | |||||||
\(8\) | −1.58472 | + | 2.34279i | −0.560282 | + | 0.828302i | ||||
\(9\) | −0.102440 | + | 0.122083i | −0.0341465 | + | 0.0406942i | ||||
\(10\) | 0.0586710 | + | 0.0615212i | 0.0185534 | + | 0.0194547i | ||||
\(11\) | −2.72589 | − | 0.730400i | −0.821887 | − | 0.220224i | −0.176716 | − | 0.984262i | \(-0.556547\pi\) |
−0.645171 | + | 0.764038i | \(0.723214\pi\) | |||||||
\(12\) | 3.36816 | − | 0.134285i | 0.972304 | − | 0.0387648i | ||||
\(13\) | −5.08503 | − | 2.37119i | −1.41033 | − | 0.657650i | −0.439685 | − | 0.898152i | \(-0.644910\pi\) |
−0.970649 | + | 0.240502i | \(0.922688\pi\) | |||||||
\(14\) | −4.71658 | − | 4.15215i | −1.26056 | − | 1.10971i | ||||
\(15\) | 0.0175933 | − | 0.0997763i | 0.00454256 | − | 0.0257621i | ||||
\(16\) | 2.80693 | + | 2.84976i | 0.701733 | + | 0.712440i | ||||
\(17\) | −3.77112 | + | 3.16435i | −0.914631 | + | 0.767467i | −0.972994 | − | 0.230829i | \(-0.925856\pi\) |
0.0583630 | + | 0.998295i | \(0.481412\pi\) | |||||||
\(18\) | 0.140738 | + | 0.176037i | 0.0331722 | + | 0.0414923i | ||||
\(19\) | −3.94311 | − | 1.85792i | −0.904612 | − | 0.426236i | ||||
\(20\) | 0.101641 | − | 0.0642131i | 0.0227277 | − | 0.0143585i | ||||
\(21\) | −0.652698 | + | 7.46037i | −0.142430 | + | 1.62799i | ||||
\(22\) | −1.77194 | + | 3.57605i | −0.377778 | + | 0.762417i | ||||
\(23\) | −0.348312 | + | 1.97538i | −0.0726281 | + | 0.411894i | 0.926719 | + | 0.375756i | \(0.122617\pi\) |
−0.999347 | + | 0.0361385i | \(0.988494\pi\) | |||||||
\(24\) | 0.751925 | − | 4.70741i | 0.153486 | − | 0.960895i | ||||
\(25\) | 1.70886 | + | 4.69507i | 0.341773 | + | 0.939013i | ||||
\(26\) | −4.70399 | + | 6.39004i | −0.922529 | + | 1.25319i | ||||
\(27\) | 1.37817 | − | 5.14341i | 0.265230 | − | 0.989850i | ||||
\(28\) | −7.07069 | + | 5.38313i | −1.33624 | + | 1.01732i | ||||
\(29\) | −0.631332 | − | 7.21616i | −0.117235 | − | 1.34001i | −0.795842 | − | 0.605504i | \(-0.792971\pi\) |
0.678607 | − | 0.734502i | \(-0.262584\pi\) | |||||||
\(30\) | −0.133441 | − | 0.0521834i | −0.0243629 | − | 0.00952734i | ||||
\(31\) | 5.51586 | − | 9.55374i | 0.990677 | − | 1.71590i | 0.377357 | − | 0.926068i | \(-0.376833\pi\) |
0.613320 | − | 0.789835i | \(-0.289834\pi\) | |||||||
\(32\) | 4.73303 | − | 3.09813i | 0.836690 | − | 0.547677i | ||||
\(33\) | 4.68407 | − | 0.825928i | 0.815392 | − | 0.143776i | ||||
\(34\) | 3.33707 | + | 6.11006i | 0.572302 | + | 1.04787i | ||||
\(35\) | 0.112882 | + | 0.242077i | 0.0190806 | + | 0.0409184i | ||||
\(36\) | 0.283277 | − | 0.146104i | 0.0472128 | − | 0.0243507i | ||||
\(37\) | −1.81779 | + | 1.81779i | −0.298843 | + | 0.298843i | −0.840561 | − | 0.541717i | \(-0.817774\pi\) |
0.541717 | + | 0.840561i | \(0.317774\pi\) | |||||||
\(38\) | −3.67429 | + | 4.94971i | −0.596048 | + | 0.802949i | ||||
\(39\) | 9.45639 | 1.51423 | ||||||||
\(40\) | −0.0607229 | − | 0.158812i | −0.00960113 | − | 0.0251104i | ||||
\(41\) | 0.822845 | + | 0.299491i | 0.128507 | + | 0.0467726i | 0.405473 | − | 0.914107i | \(-0.367107\pi\) |
−0.276966 | + | 0.960880i | \(0.589329\pi\) | |||||||
\(42\) | 10.1621 | + | 2.98287i | 1.56805 | + | 0.460267i | ||||
\(43\) | −1.99291 | − | 1.39545i | −0.303916 | − | 0.212805i | 0.411663 | − | 0.911336i | \(-0.364948\pi\) |
−0.715579 | + | 0.698532i | \(0.753837\pi\) | |||||||
\(44\) | 4.46473 | + | 3.45283i | 0.673083 | + | 0.520534i | ||||
\(45\) | −0.00247950 | − | 0.00925364i | −0.000369623 | − | 0.00137945i | ||||
\(46\) | 2.64188 | + | 1.03313i | 0.389523 | + | 0.152327i | ||||
\(47\) | 1.07854 | − | 1.28536i | 0.157321 | − | 0.187488i | −0.681626 | − | 0.731701i | \(-0.738727\pi\) |
0.838948 | + | 0.544212i | \(0.183171\pi\) | |||||||
\(48\) | −6.31746 | − | 2.35368i | −0.911847 | − | 0.339725i | ||||
\(49\) | −6.37161 | − | 11.0359i | −0.910229 | − | 1.57656i | ||||
\(50\) | 6.98574 | − | 1.06168i | 0.987933 | − | 0.150144i | ||||
\(51\) | 3.50649 | − | 7.51969i | 0.491007 | − | 1.05297i | ||||
\(52\) | 7.54971 | + | 8.30194i | 1.04696 | + | 1.15127i | ||||
\(53\) | 3.12148 | + | 4.45793i | 0.428768 | + | 0.612344i | 0.974166 | − | 0.225833i | \(-0.0725104\pi\) |
−0.545398 | + | 0.838177i | \(0.683621\pi\) | |||||||
\(54\) | −6.74757 | − | 3.34342i | −0.918228 | − | 0.454982i | ||||
\(55\) | 0.129953 | − | 0.109044i | 0.0175229 | − | 0.0147034i | ||||
\(56\) | 5.49444 | + | 11.3030i | 0.734225 | + | 1.51042i | ||||
\(57\) | 7.34651 | + | 0.0293553i | 0.973069 | + | 0.00388820i | ||||
\(58\) | −10.1811 | − | 1.13452i | −1.33685 | − | 0.148970i | ||||
\(59\) | 13.6217 | + | 1.19174i | 1.77340 | + | 0.155152i | 0.926423 | − | 0.376485i | \(-0.122867\pi\) |
0.846972 | + | 0.531637i | \(0.178423\pi\) | |||||||
\(60\) | −0.109520 | + | 0.170484i | −0.0141389 | + | 0.0220094i | ||||
\(61\) | 3.59923 | + | 5.14023i | 0.460834 | + | 0.658140i | 0.980566 | − | 0.196190i | \(-0.0628569\pi\) |
−0.519732 | + | 0.854330i | \(0.673968\pi\) | |||||||
\(62\) | −11.7101 | − | 10.3088i | −1.48719 | − | 1.30921i | ||||
\(63\) | 0.242193 | + | 0.665419i | 0.0305134 | + | 0.0838349i | ||||
\(64\) | −2.97734 | − | 7.42533i | −0.372167 | − | 0.928166i | ||||
\(65\) | 0.292090 | − | 0.168638i | 0.0362293 | − | 0.0209170i | ||||
\(66\) | 0.159465 | − | 6.72458i | 0.0196288 | − | 0.827738i | ||||
\(67\) | −5.76877 | + | 0.504702i | −0.704768 | + | 0.0616592i | −0.433905 | − | 0.900959i | \(-0.642865\pi\) |
−0.270863 | + | 0.962618i | \(0.587309\pi\) | |||||||
\(68\) | 9.40115 | − | 2.92509i | 1.14006 | − | 0.354720i | ||||
\(69\) | −0.874988 | − | 3.26550i | −0.105336 | − | 0.393120i | ||||
\(70\) | 0.367083 | − | 0.0890887i | 0.0438749 | − | 0.0106481i | ||||
\(71\) | −9.27455 | + | 1.63535i | −1.10069 | + | 0.194081i | −0.694346 | − | 0.719641i | \(-0.744306\pi\) |
−0.406341 | + | 0.913722i | \(0.633195\pi\) | |||||||
\(72\) | −0.123676 | − | 0.433461i | −0.0145754 | − | 0.0510839i | ||||
\(73\) | 1.10787 | − | 3.04386i | 0.129667 | − | 0.356256i | −0.857822 | − | 0.513947i | \(-0.828183\pi\) |
0.987489 | + | 0.157691i | \(0.0504049\pi\) | |||||||
\(74\) | 2.01410 | + | 3.02670i | 0.234134 | + | 0.351847i | ||||
\(75\) | −5.95454 | − | 5.95454i | −0.687572 | − | 0.687572i | ||||
\(76\) | 5.83947 | + | 6.47307i | 0.669833 | + | 0.742512i | ||||
\(77\) | −8.86663 | + | 8.86663i | −1.01045 | + | 1.01045i | ||||
\(78\) | 2.63383 | − | 13.1114i | 0.298223 | − | 1.48458i | ||||
\(79\) | −10.1134 | − | 3.68096i | −1.13784 | − | 0.414140i | −0.296708 | − | 0.954968i | \(-0.595889\pi\) |
−0.841133 | + | 0.540828i | \(0.818111\pi\) | |||||||
\(80\) | −0.237108 | + | 0.0399601i | −0.0265095 | + | 0.00446768i | ||||
\(81\) | 1.47540 | + | 8.36742i | 0.163934 | + | 0.929713i | ||||
\(82\) | 0.644431 | − | 1.05747i | 0.0711655 | − | 0.116778i | ||||
\(83\) | 2.09061 | − | 0.560178i | 0.229475 | − | 0.0614875i | −0.142249 | − | 0.989831i | \(-0.545433\pi\) |
0.371724 | + | 0.928343i | \(0.378767\pi\) | |||||||
\(84\) | 6.96619 | − | 13.2591i | 0.760074 | − | 1.44669i | ||||
\(85\) | −0.0257918 | − | 0.294801i | −0.00279751 | − | 0.0319757i | ||||
\(86\) | −2.48989 | + | 2.37454i | −0.268492 | + | 0.256053i | ||||
\(87\) | 6.10435 | + | 10.5730i | 0.654455 | + | 1.13355i | ||||
\(88\) | 6.03094 | − | 5.22871i | 0.642901 | − | 0.557383i | ||||
\(89\) | 13.8084 | − | 5.02584i | 1.46369 | − | 0.532738i | 0.517308 | − | 0.855799i | \(-0.326934\pi\) |
0.946378 | + | 0.323061i | \(0.104712\pi\) | |||||||
\(90\) | −0.0135209 | 0.000860510i | −0.00142523 | 9.07057e-5i | ||||||
\(91\) | −20.4217 | + | 14.2994i | −2.14077 | + | 1.49899i | ||||
\(92\) | 2.16828 | − | 3.37525i | 0.226058 | − | 0.351894i | ||||
\(93\) | −1.62049 | + | 18.5223i | −0.168037 | + | 1.92067i | ||||
\(94\) | −1.48177 | − | 1.85342i | −0.152832 | − | 0.191165i | ||||
\(95\) | 0.227443 | − | 0.130105i | 0.0233352 | − | 0.0133485i | ||||
\(96\) | −5.02298 | + | 8.10370i | −0.512656 | + | 0.827080i | ||||
\(97\) | −8.75890 | − | 10.4385i | −0.889332 | − | 1.05986i | −0.997835 | − | 0.0657680i | \(-0.979050\pi\) |
0.108503 | − | 0.994096i | \(-0.465394\pi\) | |||||||
\(98\) | −17.0761 | + | 5.76055i | −1.72495 | + | 0.581904i | ||||
\(99\) | 0.368408 | − | 0.257962i | 0.0370264 | − | 0.0259262i | ||||
\(100\) | 0.473666 | − | 9.98154i | 0.0473666 | − | 0.998154i | ||||
\(101\) | 10.8442 | + | 5.05675i | 1.07904 | + | 0.503166i | 0.879098 | − | 0.476641i | \(-0.158146\pi\) |
0.199945 | + | 0.979807i | \(0.435924\pi\) | |||||||
\(102\) | −9.44952 | − | 6.95621i | −0.935642 | − | 0.688768i | ||||
\(103\) | 9.58971 | − | 5.53662i | 0.944903 | − | 0.545540i | 0.0534089 | − | 0.998573i | \(-0.482991\pi\) |
0.891494 | + | 0.453033i | \(0.149658\pi\) | |||||||
\(104\) | 13.6135 | − | 8.15550i | 1.33492 | − | 0.799713i | ||||
\(105\) | −0.344857 | − | 0.289369i | −0.0336546 | − | 0.0282395i | ||||
\(106\) | 7.05040 | − | 3.08633i | 0.684795 | − | 0.299771i | ||||
\(107\) | −7.23473 | + | 1.93854i | −0.699407 | + | 0.187406i | −0.590965 | − | 0.806697i | \(-0.701253\pi\) |
−0.108442 | + | 0.994103i | \(0.534586\pi\) | |||||||
\(108\) | −6.51507 | + | 8.42438i | −0.626913 | + | 0.810636i | ||||
\(109\) | 6.87841 | − | 9.82339i | 0.658832 | − | 0.940910i | −0.341167 | − | 0.940003i | \(-0.610822\pi\) |
1.00000 | 0.000907235i | \(-0.000288782\pi\) | ||||||||
\(110\) | −0.114996 | − | 0.210553i | −0.0109644 | − | 0.0200755i | ||||
\(111\) | 1.48190 | − | 4.07149i | 0.140656 | − | 0.386448i | ||||
\(112\) | 17.2021 | − | 4.46997i | 1.62544 | − | 0.422373i | ||||
\(113\) | − | 5.45811i | − | 0.513456i | −0.966484 | − | 0.256728i | \(-0.917356\pi\) | ||
0.966484 | − | 0.256728i | \(-0.0826444\pi\) | |||||||
\(114\) | 2.08688 | − | 10.1779i | 0.195454 | − | 0.953244i | ||||
\(115\) | −0.0852612 | − | 0.0852612i | −0.00795065 | − | 0.00795065i | ||||
\(116\) | −4.40873 | + | 13.8003i | −0.409340 | + | 1.28133i | ||||
\(117\) | 0.810390 | − | 0.377891i | 0.0749205 | − | 0.0349360i | ||||
\(118\) | 5.44635 | − | 18.5548i | 0.501377 | − | 1.70811i | ||||
\(119\) | 3.79836 | + | 21.5415i | 0.348195 | + | 1.97471i | ||||
\(120\) | 0.205875 | + | 0.199335i | 0.0187937 | + | 0.0181967i | ||||
\(121\) | −2.62929 | − | 1.51802i | −0.239026 | − | 0.138002i | ||||
\(122\) | 8.12949 | − | 3.55871i | 0.736009 | − | 0.322190i | ||||
\(123\) | −1.47022 | + | 0.128628i | −0.132566 | + | 0.0115980i | ||||
\(124\) | −17.5548 | + | 13.3650i | −1.57647 | + | 1.20021i | ||||
\(125\) | −0.580437 | − | 0.155528i | −0.0519159 | − | 0.0139108i | ||||
\(126\) | 0.990069 | − | 0.150469i | 0.0882024 | − | 0.0134048i | ||||
\(127\) | 1.39961 | − | 0.509418i | 0.124196 | − | 0.0452035i | −0.279175 | − | 0.960240i | \(-0.590061\pi\) |
0.403370 | + | 0.915037i | \(0.367839\pi\) | |||||||
\(128\) | −11.1246 | + | 2.05999i | −0.983284 | + | 0.182079i | ||||
\(129\) | 4.03815 | + | 0.712036i | 0.355540 | + | 0.0626912i | ||||
\(130\) | −0.152465 | − | 0.451957i | −0.0133721 | − | 0.0396393i | ||||
\(131\) | −3.76918 | − | 0.329761i | −0.329315 | − | 0.0288113i | −0.0787005 | − | 0.996898i | \(-0.525077\pi\) |
−0.250614 | + | 0.968087i | \(0.580633\pi\) | |||||||
\(132\) | −9.27931 | − | 2.09406i | −0.807661 | − | 0.182264i | ||||
\(133\) | −15.9096 | + | 11.0456i | −1.37954 | + | 0.957772i | ||||
\(134\) | −0.906965 | + | 8.13906i | −0.0783499 | + | 0.703108i | ||||
\(135\) | 0.205752 | + | 0.245205i | 0.0177083 | + | 0.0211039i | ||||
\(136\) | −1.43724 | − | 13.8495i | −0.123242 | − | 1.18759i | ||||
\(137\) | −14.1045 | − | 2.48700i | −1.20503 | − | 0.212479i | −0.465157 | − | 0.885228i | \(-0.654002\pi\) |
−0.739870 | + | 0.672750i | \(0.765113\pi\) | |||||||
\(138\) | −4.77137 | + | 0.303664i | −0.406166 | + | 0.0258496i | ||||
\(139\) | 2.28209 | − | 4.89396i | 0.193564 | − | 0.415100i | −0.785440 | − | 0.618937i | \(-0.787564\pi\) |
0.979005 | + | 0.203837i | \(0.0653413\pi\) | |||||||
\(140\) | −0.0212813 | − | 0.533780i | −0.00179860 | − | 0.0451127i | ||||
\(141\) | −0.731936 | + | 2.73162i | −0.0616401 | + | 0.230044i | ||||
\(142\) | −0.315744 | + | 13.3148i | −0.0264966 | + | 1.11735i | ||||
\(143\) | 12.1293 | + | 10.1777i | 1.01430 | + | 0.851103i | ||||
\(144\) | −0.635447 | + | 0.0507499i | −0.0529539 | + | 0.00422916i | ||||
\(145\) | 0.377104 | + | 0.217721i | 0.0313168 | + | 0.0180807i | ||||
\(146\) | −3.91178 | − | 2.38387i | −0.323741 | − | 0.197290i | ||||
\(147\) | 17.5934 | + | 12.3191i | 1.45108 | + | 1.01606i | ||||
\(148\) | 4.75754 | − | 1.94957i | 0.391067 | − | 0.160254i | ||||
\(149\) | 5.15880 | + | 11.0631i | 0.422626 | + | 0.906323i | 0.996194 | + | 0.0871656i | \(0.0277809\pi\) |
−0.573568 | + | 0.819158i | \(0.694441\pi\) | |||||||
\(150\) | −9.91455 | + | 6.59758i | −0.809520 | + | 0.538690i | ||||
\(151\) | 11.3968i | 0.927458i | 0.885977 | + | 0.463729i | \(0.153489\pi\) | ||||
−0.885977 | + | 0.463729i | \(0.846511\pi\) | |||||||
\(152\) | 10.6014 | − | 6.29361i | 0.859890 | − | 0.510479i | ||||
\(153\) | − | 0.784543i | − | 0.0634266i | ||||||
\(154\) | 9.82414 | + | 14.7633i | 0.791652 | + | 1.18966i | ||||
\(155\) | 0.280259 | + | 0.601017i | 0.0225109 | + | 0.0482749i | ||||
\(156\) | −17.4456 | − | 7.30370i | −1.39677 | − | 0.584764i | ||||
\(157\) | 2.64217 | + | 1.85007i | 0.210868 | + | 0.147651i | 0.674239 | − | 0.738513i | \(-0.264472\pi\) |
−0.463372 | + | 0.886164i | \(0.653360\pi\) | |||||||
\(158\) | −7.92052 | + | 12.9971i | −0.630123 | + | 1.03399i | ||||
\(159\) | −7.94341 | − | 4.58613i | −0.629954 | − | 0.363704i | ||||
\(160\) | −0.0106351 | + | 0.339884i | −0.000840775 | + | 0.0268702i | ||||
\(161\) | 6.82749 | + | 5.72894i | 0.538082 | + | 0.451504i | ||||
\(162\) | 12.0125 | + | 0.284861i | 0.943790 | + | 0.0223808i | ||||
\(163\) | 2.03217 | − | 7.58416i | 0.159172 | − | 0.594037i | −0.839540 | − | 0.543298i | \(-0.817176\pi\) |
0.998712 | − | 0.0507395i | \(-0.0161578\pi\) | |||||||
\(164\) | −1.28671 | − | 1.18804i | −0.100475 | − | 0.0927707i | ||||
\(165\) | −0.120834 | + | 0.259129i | −0.00940691 | + | 0.0201732i | ||||
\(166\) | −0.194409 | − | 3.05469i | −0.0150891 | − | 0.237090i | ||||
\(167\) | −16.4447 | − | 2.89965i | −1.27253 | − | 0.224382i | −0.503726 | − | 0.863864i | \(-0.668038\pi\) |
−0.768806 | + | 0.639482i | \(0.779149\pi\) | |||||||
\(168\) | −16.4438 | − | 13.3517i | −1.26866 | − | 1.03011i | ||||
\(169\) | 11.8788 | + | 14.1566i | 0.913751 | + | 1.08897i | ||||
\(170\) | −0.415930 | − | 0.0463486i | −0.0319004 | − | 0.00355477i | ||||
\(171\) | 0.630751 | − | 0.291061i | 0.0482347 | − | 0.0222580i | ||||
\(172\) | 2.59884 | + | 4.11364i | 0.198160 | + | 0.313662i | ||||
\(173\) | −11.9399 | − | 1.04461i | −0.907775 | − | 0.0794200i | −0.376304 | − | 0.926496i | \(-0.622805\pi\) |
−0.531471 | + | 0.847076i | \(0.678361\pi\) | |||||||
\(174\) | 16.3599 | − | 5.51892i | 1.24024 | − | 0.418388i | ||||
\(175\) | 21.8633 | + | 3.85510i | 1.65271 | + | 0.291418i | ||||
\(176\) | −5.56993 | − | 9.81831i | −0.419849 | − | 0.740083i | ||||
\(177\) | −21.6561 | + | 7.88218i | −1.62777 | + | 0.592461i | ||||
\(178\) | −3.12244 | − | 20.5454i | −0.234037 | − | 1.53994i | ||||
\(179\) | −11.8070 | − | 3.16369i | −0.882500 | − | 0.236465i | −0.211014 | − | 0.977483i | \(-0.567677\pi\) |
−0.671485 | + | 0.741018i | \(0.734343\pi\) | |||||||
\(180\) | −0.00257279 | + | 0.0189866i | −0.000191764 | + | 0.00141518i | ||||
\(181\) | −1.46519 | + | 0.128187i | −0.108906 | + | 0.00952807i | −0.141479 | − | 0.989941i | \(-0.545186\pi\) |
0.0325722 | + | 0.999469i | \(0.489630\pi\) | |||||||
\(182\) | 14.1384 | + | 32.2977i | 1.04801 | + | 2.39406i | ||||
\(183\) | −9.15918 | − | 5.28805i | −0.677066 | − | 0.390904i | ||||
\(184\) | −4.07592 | − | 3.94644i | −0.300481 | − | 0.290935i | ||||
\(185\) | −0.0268348 | − | 0.152188i | −0.00197293 | − | 0.0111891i | ||||
\(186\) | 25.2301 | + | 7.40574i | 1.84996 | + | 0.543015i | ||||
\(187\) | 12.5909 | − | 5.87123i | 0.920738 | − | 0.429347i | ||||
\(188\) | −2.98250 | + | 1.53827i | −0.217521 | + | 0.112190i | ||||
\(189\) | −16.7302 | − | 16.7302i | −1.21694 | − | 1.21694i | ||||
\(190\) | −0.117045 | − | 0.351591i | −0.00849132 | − | 0.0255071i | ||||
\(191\) | 1.76306i | 0.127570i | 0.997964 | + | 0.0637851i | \(0.0203172\pi\) | ||||
−0.997964 | + | 0.0637851i | \(0.979683\pi\) | |||||||
\(192\) | 9.83688 | + | 9.22151i | 0.709915 | + | 0.665505i | ||||
\(193\) | −2.41762 | + | 6.64234i | −0.174024 | + | 0.478126i | −0.995786 | − | 0.0917037i | \(-0.970769\pi\) |
0.821763 | + | 0.569830i | \(0.192991\pi\) | |||||||
\(194\) | −16.9126 | + | 9.23699i | −1.21426 | + | 0.663177i | ||||
\(195\) | −0.326051 | + | 0.465649i | −0.0233490 | + | 0.0333458i | ||||
\(196\) | 3.23097 | + | 25.2808i | 0.230784 | + | 1.80577i | ||||
\(197\) | −6.51968 | + | 1.74694i | −0.464508 | + | 0.124464i | −0.483480 | − | 0.875356i | \(-0.660627\pi\) |
0.0189720 | + | 0.999820i | \(0.493961\pi\) | |||||||
\(198\) | −0.255058 | − | 0.582652i | −0.0181262 | − | 0.0414073i | ||||
\(199\) | −0.902676 | − | 0.757435i | −0.0639890 | − | 0.0536932i | 0.610232 | − | 0.792223i | \(-0.291076\pi\) |
−0.674221 | + | 0.738529i | \(0.735521\pi\) | |||||||
\(200\) | −13.7076 | − | 3.43684i | −0.969276 | − | 0.243022i | ||||
\(201\) | 8.45235 | − | 4.87997i | 0.596183 | − | 0.344206i | ||||
\(202\) | 10.0316 | − | 13.6273i | 0.705824 | − | 0.958812i | ||||
\(203\) | −29.1707 | − | 13.6025i | −2.04738 | − | 0.954708i | ||||
\(204\) | −12.2768 | + | 11.1644i | −0.859549 | + | 0.781666i | ||||
\(205\) | −0.0431186 | + | 0.0301920i | −0.00301154 | + | 0.00210870i | ||||
\(206\) | −5.00565 | − | 14.8384i | −0.348760 | − | 1.03384i | ||||
\(207\) | −0.205478 | − | 0.244880i | −0.0142817 | − | 0.0170203i | ||||
\(208\) | −7.51602 | − | 21.1469i | −0.521143 | − | 1.46627i | ||||
\(209\) | 9.39146 | + | 7.94454i | 0.649621 | + | 0.549535i | ||||
\(210\) | −0.497266 | + | 0.397553i | −0.0343146 | + | 0.0274338i | ||||
\(211\) | 0.248960 | − | 2.84563i | 0.0171391 | − | 0.195901i | −0.982798 | − | 0.184684i | \(-0.940874\pi\) |
0.999937 | − | 0.0112171i | \(-0.00357060\pi\) | |||||||
\(212\) | −2.31554 | − | 10.6351i | −0.159032 | − | 0.730422i | ||||
\(213\) | 13.0021 | − | 9.10417i | 0.890889 | − | 0.623807i | ||||
\(214\) | 0.672768 | + | 10.5710i | 0.0459895 | + | 0.722618i | ||||
\(215\) | 0.137429 | − | 0.0500200i | 0.00937258 | − | 0.00341134i | ||||
\(216\) | 9.86593 | + | 11.3796i | 0.671291 | + | 0.774286i | ||||
\(217\) | −24.5088 | − | 42.4505i | −1.66376 | − | 2.88172i | ||||
\(218\) | −11.7045 | − | 12.2731i | −0.792727 | − | 0.831237i | ||||
\(219\) | 0.475819 | + | 5.43864i | 0.0321529 | + | 0.367509i | ||||
\(220\) | −0.323964 | + | 0.100799i | −0.0218417 | + | 0.00679587i | ||||
\(221\) | 26.6795 | − | 7.14876i | 1.79466 | − | 0.480878i | ||||
\(222\) | −5.23243 | − | 3.18868i | −0.351178 | − | 0.214010i | ||||
\(223\) | 0.946855 | + | 5.36988i | 0.0634061 | + | 0.359594i | 0.999959 | + | 0.00906731i | \(0.00288625\pi\) |
−0.936553 | + | 0.350527i | \(0.886003\pi\) | |||||||
\(224\) | −1.40650 | − | 25.0959i | −0.0939758 | − | 1.67679i | ||||
\(225\) | −0.748242 | − | 0.272338i | −0.0498828 | − | 0.0181559i | ||||
\(226\) | −7.56775 | − | 1.52022i | −0.503399 | − | 0.101123i | ||||
\(227\) | 8.86854 | − | 8.86854i | 0.588626 | − | 0.588626i | −0.348633 | − | 0.937259i | \(-0.613354\pi\) |
0.937259 | + | 0.348633i | \(0.113354\pi\) | |||||||
\(228\) | −13.5305 | − | 5.72827i | −0.896081 | − | 0.379364i | ||||
\(229\) | −10.3962 | − | 10.3962i | −0.687002 | − | 0.687002i | 0.274566 | − | 0.961568i | \(-0.411466\pi\) |
−0.961568 | + | 0.274566i | \(0.911466\pi\) | |||||||
\(230\) | −0.141963 | + | 0.0944687i | −0.00936078 | + | 0.00622908i | ||||
\(231\) | 7.22824 | − | 19.8594i | 0.475583 | − | 1.30665i | ||||
\(232\) | 17.9064 | + | 9.95649i | 1.17561 | + | 0.653676i | ||||
\(233\) | 3.87634 | − | 0.683504i | 0.253948 | − | 0.0447778i | −0.0452250 | − | 0.998977i | \(-0.514400\pi\) |
0.299173 | + | 0.954199i | \(0.403289\pi\) | |||||||
\(234\) | −0.298238 | − | 1.22887i | −0.0194965 | − | 0.0803337i | ||||
\(235\) | 0.0261056 | + | 0.0974275i | 0.00170294 | + | 0.00635547i | ||||
\(236\) | −24.2095 | − | 12.7194i | −1.57591 | − | 0.827962i | ||||
\(237\) | 18.0701 | − | 1.58093i | 1.17378 | − | 0.102693i | ||||
\(238\) | 30.9256 | + | 0.733362i | 2.00461 | + | 0.0475368i | ||||
\(239\) | −10.6978 | + | 6.17636i | −0.691981 | + | 0.399515i | −0.804354 | − | 0.594151i | \(-0.797488\pi\) |
0.112373 | + | 0.993666i | \(0.464155\pi\) | |||||||
\(240\) | 0.333722 | − | 0.229929i | 0.0215416 | − | 0.0148418i | ||||
\(241\) | −1.24706 | − | 3.42626i | −0.0803301 | − | 0.220705i | 0.893025 | − | 0.450006i | \(-0.148578\pi\) |
−0.973356 | + | 0.229301i | \(0.926356\pi\) | |||||||
\(242\) | −2.83708 | + | 3.22274i | −0.182374 | + | 0.207166i | ||||
\(243\) | 0.948932 | + | 1.35522i | 0.0608740 | + | 0.0869371i | ||||
\(244\) | −2.66995 | − | 12.2628i | −0.170926 | − | 0.785048i | ||||
\(245\) | 0.763118 | + | 0.0667641i | 0.0487538 | + | 0.00426540i | ||||
\(246\) | −0.231148 | + | 2.07432i | −0.0147375 | + | 0.132254i | ||||
\(247\) | 15.6454 | + | 18.7974i | 0.995491 | + | 1.19605i | ||||
\(248\) | 13.6413 | + | 28.0625i | 0.866226 | + | 1.78197i | ||||
\(249\) | −2.79442 | + | 2.34480i | −0.177089 | + | 0.148595i | ||||
\(250\) | −0.377307 | + | 0.761467i | −0.0238630 | + | 0.0481594i | ||||
\(251\) | 11.7473 | + | 16.7769i | 0.741485 | + | 1.05895i | 0.995775 | + | 0.0918229i | \(0.0292694\pi\) |
−0.254290 | + | 0.967128i | \(0.581842\pi\) | |||||||
\(252\) | 0.0671313 | − | 1.41466i | 0.00422887 | − | 0.0891149i | ||||
\(253\) | 2.39228 | − | 5.13025i | 0.150401 | − | 0.322536i | ||||
\(254\) | −0.316489 | − | 2.08247i | −0.0198583 | − | 0.130666i | ||||
\(255\) | 0.249381 | + | 0.431940i | 0.0156168 | + | 0.0270491i | ||||
\(256\) | −0.242254 | + | 15.9982i | −0.0151409 | + | 0.999885i | ||||
\(257\) | −4.61167 | + | 5.49598i | −0.287668 | + | 0.342830i | −0.890454 | − | 0.455074i | \(-0.849613\pi\) |
0.602786 | + | 0.797903i | \(0.294057\pi\) | |||||||
\(258\) | 2.11197 | − | 5.40064i | 0.131486 | − | 0.336229i | ||||
\(259\) | 2.95641 | + | 11.0335i | 0.183702 | + | 0.685587i | ||||
\(260\) | −0.669111 | + | 0.0855147i | −0.0414965 | + | 0.00530340i | ||||
\(261\) | 0.945641 | + | 0.662145i | 0.0585337 | + | 0.0409858i | ||||
\(262\) | −1.50703 | + | 5.13418i | −0.0931044 | + | 0.317191i | ||||
\(263\) | −9.97112 | − | 3.62919i | −0.614845 | − | 0.223785i | 0.0157767 | − | 0.999876i | \(-0.494978\pi\) |
−0.630622 | + | 0.776090i | \(0.717200\pi\) | |||||||
\(264\) | −5.48796 | + | 12.2827i | −0.337760 | + | 0.755946i | ||||
\(265\) | −0.327143 | −0.0200962 | ||||||||
\(266\) | 10.8836 | + | 25.1354i | 0.667318 | + | 1.54115i | ||||
\(267\) | −17.5126 | + | 17.5126i | −1.07175 | + | 1.07175i | ||||
\(268\) | 11.0323 | + | 3.52445i | 0.673907 | + | 0.215290i | ||||
\(269\) | 6.37945 | + | 13.6808i | 0.388962 | + | 0.834132i | 0.999124 | + | 0.0418551i | \(0.0133268\pi\) |
−0.610161 | + | 0.792277i | \(0.708895\pi\) | |||||||
\(270\) | 0.397288 | − | 0.216982i | 0.0241782 | − | 0.0132051i | ||||
\(271\) | 4.62422 | − | 0.815375i | 0.280902 | − | 0.0495305i | −0.0314224 | − | 0.999506i | \(-0.510004\pi\) |
0.312324 | + | 0.949976i | \(0.398893\pi\) | |||||||
\(272\) | −19.6029 | − | 1.86468i | −1.18860 | − | 0.113063i | ||||
\(273\) | 21.0089 | − | 36.3886i | 1.27152 | − | 2.20234i | ||||
\(274\) | −7.37670 | + | 18.8634i | −0.445643 | + | 1.13958i | ||||
\(275\) | −1.22890 | − | 14.0464i | −0.0741055 | − | 0.847029i | ||||
\(276\) | −0.907907 | + | 6.70015i | −0.0546496 | + | 0.403302i | ||||
\(277\) | 2.02907 | − | 7.57259i | 0.121915 | − | 0.454993i | −0.877796 | − | 0.479035i | \(-0.840987\pi\) |
0.999711 | + | 0.0240420i | \(0.00765353\pi\) | |||||||
\(278\) | −6.14993 | − | 4.52724i | −0.368848 | − | 0.271526i | ||||
\(279\) | 0.601305 | + | 1.65207i | 0.0359992 | + | 0.0989069i | ||||
\(280\) | −0.746022 | − | 0.119164i | −0.0445833 | − | 0.00712140i | ||||
\(281\) | 2.71099 | − | 15.3748i | 0.161724 | − | 0.917184i | −0.790654 | − | 0.612264i | \(-0.790259\pi\) |
0.952378 | − | 0.304920i | \(-0.0986298\pi\) | |||||||
\(282\) | 3.58357 | + | 1.77566i | 0.213399 | + | 0.105739i | ||||
\(283\) | 0.251709 | − | 2.87705i | 0.0149626 | − | 0.171023i | −0.985037 | − | 0.172345i | \(-0.944865\pi\) |
0.999999 | + | 0.00132268i | \(0.000421022\pi\) | |||||||
\(284\) | 18.3732 | + | 4.14627i | 1.09025 | + | 0.246036i | ||||
\(285\) | −0.254749 | + | 0.360742i | −0.0150900 | + | 0.0213685i | ||||
\(286\) | 17.4899 | − | 13.9827i | 1.03420 | − | 0.826817i | ||||
\(287\) | 2.98054 | − | 2.50097i | 0.175936 | − | 0.147628i | ||||
\(288\) | −0.106622 | + | 0.895192i | −0.00628275 | + | 0.0527497i | ||||
\(289\) | 1.25625 | − | 7.12454i | 0.0738970 | − | 0.419091i | ||||
\(290\) | 0.406906 | − | 0.462219i | 0.0238943 | − | 0.0271425i | ||||
\(291\) | 20.8145 | + | 9.70595i | 1.22017 | + | 0.568973i | ||||
\(292\) | −4.39480 | + | 4.75978i | −0.257186 | + | 0.278545i | ||||
\(293\) | 19.3661 | + | 5.18913i | 1.13138 | + | 0.303152i | 0.775480 | − | 0.631372i | \(-0.217508\pi\) |
0.355900 | + | 0.934524i | \(0.384174\pi\) | |||||||
\(294\) | 21.9808 | − | 20.9624i | 1.28194 | − | 1.22255i | ||||
\(295\) | −0.528352 | + | 0.629665i | −0.0307618 | + | 0.0366605i | ||||
\(296\) | −1.37802 | − | 7.13940i | −0.0800958 | − | 0.414969i | ||||
\(297\) | −7.51350 | + | 13.0138i | −0.435977 | + | 0.755135i | ||||
\(298\) | 16.7760 | − | 4.07142i | 0.971807 | − | 0.235851i | ||||
\(299\) | 6.45517 | − | 9.21893i | 0.373312 | − | 0.533145i | ||||
\(300\) | 6.38621 | + | 15.5843i | 0.368708 | + | 0.899758i | ||||
\(301\) | −9.79735 | + | 4.56858i | −0.564710 | + | 0.263328i | ||||
\(302\) | 15.8018 | + | 3.17428i | 0.909293 | + | 0.182659i | ||||
\(303\) | −20.1665 | −1.15854 | ||||||||
\(304\) | −5.77342 | − | 16.4520i | −0.331129 | − | 0.943586i | ||||
\(305\) | −0.377213 | −0.0215992 | ||||||||
\(306\) | −1.08778 | − | 0.218514i | −0.0621843 | − | 0.0124916i | ||||
\(307\) | −23.3730 | + | 10.8990i | −1.33397 | + | 0.622039i | −0.953118 | − | 0.302599i | \(-0.902146\pi\) |
−0.380848 | + | 0.924638i | \(0.624368\pi\) | |||||||
\(308\) | 23.2058 | − | 9.50939i | 1.32227 | − | 0.541848i | ||||
\(309\) | −10.7047 | + | 15.2879i | −0.608968 | + | 0.869697i | ||||
\(310\) | 0.911379 | − | 0.221186i | 0.0517628 | − | 0.0125625i | ||||
\(311\) | 14.4802 | − | 25.0805i | 0.821098 | − | 1.42218i | −0.0837678 | − | 0.996485i | \(-0.526695\pi\) |
0.904865 | − | 0.425698i | \(-0.139971\pi\) | |||||||
\(312\) | −14.9857 | + | 22.1543i | −0.848399 | + | 1.25424i | ||||
\(313\) | 6.70379 | − | 7.98926i | 0.378920 | − | 0.451580i | −0.542553 | − | 0.840022i | \(-0.682542\pi\) |
0.921473 | + | 0.388442i | \(0.126987\pi\) | |||||||
\(314\) | 3.30105 | − | 3.14812i | 0.186289 | − | 0.177659i | ||||
\(315\) | −0.0411170 | − | 0.0110173i | −0.00231668 | − | 0.000620753i | ||||
\(316\) | 15.8146 | + | 14.6019i | 0.889641 | + | 0.821422i | ||||
\(317\) | −1.32871 | − | 0.619586i | −0.0746276 | − | 0.0347994i | 0.384946 | − | 0.922939i | \(-0.374220\pi\) |
−0.459574 | + | 0.888140i | \(0.651998\pi\) | |||||||
\(318\) | −8.57117 | + | 9.73631i | −0.480647 | + | 0.545985i | ||||
\(319\) | −3.54974 | + | 20.1316i | −0.198747 | + | 1.12715i | ||||
\(320\) | 0.468292 | + | 0.109412i | 0.0261783 | + | 0.00611629i | ||||
\(321\) | 9.67030 | − | 8.11434i | 0.539743 | − | 0.452898i | ||||
\(322\) | 9.84489 | − | 7.87077i | 0.548634 | − | 0.438621i | ||||
\(323\) | 20.7491 | − | 5.47093i | 1.15451 | − | 0.304411i | ||||
\(324\) | 3.74073 | − | 16.5762i | 0.207818 | − | 0.920897i | ||||
\(325\) | 2.44326 | − | 27.9266i | 0.135528 | − | 1.54909i | ||||
\(326\) | −9.94954 | − | 4.93000i | −0.551054 | − | 0.273048i | ||||
\(327\) | −3.50974 | + | 19.9047i | −0.194089 | + | 1.10073i | ||||
\(328\) | −2.00562 | + | 1.45314i | −0.110742 | + | 0.0802365i | ||||
\(329\) | −2.54994 | − | 7.00590i | −0.140583 | − | 0.386248i | ||||
\(330\) | 0.325631 | + | 0.239712i | 0.0179254 | + | 0.0131957i | ||||
\(331\) | 1.66231 | − | 6.20383i | 0.0913689 | − | 0.340993i | −0.905075 | − | 0.425252i | \(-0.860185\pi\) |
0.996444 | + | 0.0842585i | \(0.0268522\pi\) | |||||||
\(332\) | −4.28952 | − | 0.581253i | −0.235418 | − | 0.0319004i | ||||
\(333\) | −0.0357072 | − | 0.408135i | −0.00195674 | − | 0.0223657i | ||||
\(334\) | −8.60067 | + | 21.9933i | −0.470607 | + | 1.20342i | ||||
\(335\) | 0.174051 | − | 0.301466i | 0.00950945 | − | 0.0164708i | ||||
\(336\) | −23.0923 | + | 19.0807i | −1.25979 | + | 1.04094i | ||||
\(337\) | 8.07297 | − | 1.42348i | 0.439762 | − | 0.0775420i | 0.0506166 | − | 0.998718i | \(-0.483881\pi\) |
0.389146 | + | 0.921176i | \(0.372770\pi\) | |||||||
\(338\) | 22.9368 | − | 12.5271i | 1.24760 | − | 0.681387i | ||||
\(339\) | 3.88775 | + | 8.33730i | 0.211153 | + | 0.452820i | ||||
\(340\) | −0.180110 | + | 0.563784i | −0.00976781 | + | 0.0305755i | ||||
\(341\) | −22.0137 | + | 22.0137i | −1.19211 | + | 1.19211i | ||||
\(342\) | −0.227881 | − | 0.955613i | −0.0123224 | − | 0.0516736i | ||||
\(343\) | −25.5190 | −1.37790 | ||||||||
\(344\) | 6.42746 | − | 2.45758i | 0.346545 | − | 0.132504i | ||||
\(345\) | 0.190968 | + | 0.0695066i | 0.0102814 | + | 0.00374211i | ||||
\(346\) | −4.77392 | + | 16.2639i | −0.256647 | + | 0.874354i | ||||
\(347\) | −14.4949 | − | 10.1494i | −0.778126 | − | 0.544849i | 0.115689 | − | 0.993285i | \(-0.463092\pi\) |
−0.893815 | + | 0.448436i | \(0.851981\pi\) | |||||||
\(348\) | −3.09545 | − | 24.2204i | −0.165933 | − | 1.29835i | ||||
\(349\) | −1.71401 | − | 6.39677i | −0.0917488 | − | 0.342411i | 0.904758 | − | 0.425927i | \(-0.140052\pi\) |
−0.996506 | + | 0.0835154i | \(0.973385\pi\) | |||||||
\(350\) | 11.4346 | − | 29.2401i | 0.611206 | − | 1.56295i | ||||
\(351\) | −19.2041 | + | 22.8865i | −1.02504 | + | 1.22159i | ||||
\(352\) | −15.1646 | + | 4.98815i | −0.808276 | + | 0.265869i | ||||
\(353\) | 14.0900 | + | 24.4046i | 0.749935 | + | 1.29893i | 0.947853 | + | 0.318707i | \(0.103249\pi\) |
−0.197919 | + | 0.980218i | \(0.563418\pi\) | |||||||
\(354\) | 4.89701 | + | 32.2219i | 0.260273 | + | 1.71258i | ||||
\(355\) | 0.239253 | − | 0.513081i | 0.0126983 | − | 0.0272315i | ||||
\(356\) | −29.3561 | − | 1.39307i | −1.55587 | − | 0.0738326i | ||||
\(357\) | −21.1458 | − | 30.1993i | −1.11915 | − | 1.59832i | ||||
\(358\) | −7.67505 | + | 15.4895i | −0.405639 | + | 0.818645i | ||||
\(359\) | 18.0222 | − | 15.1225i | 0.951177 | − | 0.798132i | −0.0283182 | − | 0.999599i | \(-0.509015\pi\) |
0.979495 | + | 0.201466i | \(0.0645707\pi\) | |||||||
\(360\) | 0.0256087 | + | 0.00885544i | 0.00134969 | + | 0.000466723i | ||||
\(361\) | 12.0963 | + | 14.6520i | 0.636645 | + | 0.771157i | ||||
\(362\) | −0.230356 | + | 2.06721i | −0.0121072 | + | 0.108650i | ||||
\(363\) | 5.09752 | + | 0.445975i | 0.267550 | + | 0.0234076i | ||||
\(364\) | 48.7191 | − | 10.6074i | 2.55358 | − | 0.555981i | ||||
\(365\) | 0.111686 | + | 0.159504i | 0.00584590 | + | 0.00834881i | ||||
\(366\) | −9.88302 | + | 11.2265i | −0.516594 | + | 0.586818i | ||||
\(367\) | −6.35425 | − | 17.4582i | −0.331689 | − | 0.911308i | −0.987673 | − | 0.156533i | \(-0.949968\pi\) |
0.655984 | − | 0.754775i | \(-0.272254\pi\) | |||||||
\(368\) | −6.60703 | + | 4.55214i | −0.344415 | + | 0.237297i | ||||
\(369\) | −0.120855 | + | 0.0697754i | −0.00629143 | + | 0.00363236i | ||||
\(370\) | −0.218485 | − | 0.00518109i | −0.0113585 | − | 0.000269352i | ||||
\(371\) | 24.0892 | − | 2.10753i | 1.25065 | − | 0.109418i | ||||
\(372\) | 17.2954 | − | 32.9192i | 0.896722 | − | 1.70678i | ||||
\(373\) | −4.47127 | − | 16.6870i | −0.231514 | − | 0.864021i | −0.979689 | − | 0.200521i | \(-0.935737\pi\) |
0.748176 | − | 0.663501i | \(-0.230930\pi\) | |||||||
\(374\) | −4.63369 | − | 19.0928i | −0.239602 | − | 0.987263i | ||||
\(375\) | 0.997402 | − | 0.175869i | 0.0515056 | − | 0.00908183i | ||||
\(376\) | 1.30214 | + | 4.56372i | 0.0671525 | + | 0.235356i | ||||
\(377\) | −13.9005 | + | 38.1914i | −0.715914 | + | 1.96696i | ||||
\(378\) | −27.8565 | + | 18.5369i | −1.43278 | + | 0.953437i | ||||
\(379\) | 21.0226 | + | 21.0226i | 1.07986 | + | 1.07986i | 0.996522 | + | 0.0833354i | \(0.0265573\pi\) |
0.0833354 | + | 0.996522i | \(0.473443\pi\) | |||||||
\(380\) | −0.520086 | + | 0.0643578i | −0.0266799 | + | 0.00330148i | ||||
\(381\) | −1.77507 | + | 1.77507i | −0.0909395 | + | 0.0909395i | ||||
\(382\) | 2.44450 | + | 0.491054i | 0.125072 | + | 0.0251245i | ||||
\(383\) | −1.78657 | − | 0.650260i | −0.0912897 | − | 0.0332267i | 0.295972 | − | 0.955197i | \(-0.404357\pi\) |
−0.387261 | + | 0.921970i | \(0.626579\pi\) | |||||||
\(384\) | 15.5256 | − | 11.0706i | 0.792286 | − | 0.564942i | ||||
\(385\) | −0.130892 | − | 0.742324i | −0.00667086 | − | 0.0378323i | ||||
\(386\) | 8.53635 | + | 5.20211i | 0.434489 | + | 0.264781i | ||||
\(387\) | 0.374514 | − | 0.100351i | 0.0190376 | − | 0.00510111i | ||||
\(388\) | 8.09665 | + | 26.0223i | 0.411045 | + | 1.32108i | ||||
\(389\) | 0.435743 | + | 4.98056i | 0.0220930 | + | 0.252524i | 0.999207 | + | 0.0398094i | \(0.0126751\pi\) |
−0.977114 | + | 0.212715i | \(0.931769\pi\) | |||||||
\(390\) | 0.554816 | + | 0.581769i | 0.0280942 | + | 0.0294590i | ||||
\(391\) | −4.93725 | − | 8.55156i | −0.249687 | − | 0.432471i | ||||
\(392\) | 35.9521 | + | 2.56152i | 1.81586 | + | 0.129376i | ||||
\(393\) | 5.99234 | − | 2.18103i | 0.302273 | − | 0.110019i | ||||
\(394\) | 0.606275 | + | 9.52620i | 0.0305437 | + | 0.479923i | ||||
\(395\) | 0.529959 | − | 0.371081i | 0.0266651 | − | 0.0186711i | ||||
\(396\) | −0.878896 | + | 0.191359i | −0.0441662 | + | 0.00961615i | ||||
\(397\) | 0.394639 | − | 4.51075i | 0.0198064 | − | 0.226388i | −0.979840 | − | 0.199785i | \(-0.935976\pi\) |
0.999646 | − | 0.0266026i | \(-0.00846888\pi\) | |||||||
\(398\) | −1.30161 | + | 1.04061i | −0.0652439 | + | 0.0521611i | ||||
\(399\) | 16.4344 | − | 28.2044i | 0.822751 | − | 1.41199i | ||||
\(400\) | −8.58314 | + | 18.0486i | −0.429157 | + | 0.902430i | ||||
\(401\) | −6.35004 | − | 7.56768i | −0.317106 | − | 0.377912i | 0.583821 | − | 0.811882i | \(-0.301557\pi\) |
−0.900927 | + | 0.433970i | \(0.857112\pi\) | |||||||
\(402\) | −4.41196 | − | 13.0785i | −0.220049 | − | 0.652296i | ||||
\(403\) | −50.7020 | + | 35.5019i | −2.52565 | + | 1.76848i | ||||
\(404\) | −16.1004 | − | 17.7046i | −0.801024 | − | 0.880835i | ||||
\(405\) | −0.462897 | − | 0.215852i | −0.0230015 | − | 0.0107258i | ||||
\(406\) | −26.9848 | + | 36.6569i | −1.33923 | + | 1.81925i | ||||
\(407\) | 6.28282 | − | 3.62739i | 0.311428 | − | 0.179803i | ||||
\(408\) | 12.0603 | + | 20.1316i | 0.597072 | + | 0.996660i | ||||
\(409\) | −3.12747 | − | 2.62426i | −0.154643 | − | 0.129761i | 0.562183 | − | 0.827013i | \(-0.309962\pi\) |
−0.716826 | + | 0.697252i | \(0.754406\pi\) | |||||||
\(410\) | 0.0298521 | + | 0.0681938i | 0.00147429 | + | 0.00336785i | ||||
\(411\) | 23.3161 | − | 6.24754i | 1.15010 | − | 0.308169i | ||||
\(412\) | −21.9678 | + | 2.80756i | −1.08228 | + | 0.138319i | ||||
\(413\) | 34.8488 | − | 49.7692i | 1.71480 | − | 2.44898i | ||||
\(414\) | −0.396760 | + | 0.216694i | −0.0194997 | + | 0.0106499i | ||||
\(415\) | −0.0444990 | + | 0.122260i | −0.00218437 | + | 0.00600150i | ||||
\(416\) | −31.4139 | + | 4.53117i | −1.54019 | + | 0.222159i | ||||
\(417\) | 9.10106i | 0.445681i | ||||||||
\(418\) | 13.6310 | − | 10.8087i | 0.666713 | − | 0.528669i | ||||
\(419\) | −16.2731 | − | 16.2731i | −0.794994 | − | 0.794994i | 0.187307 | − | 0.982301i | \(-0.440024\pi\) |
−0.982301 | + | 0.187307i | \(0.940024\pi\) | |||||||
\(420\) | 0.412713 | + | 0.800195i | 0.0201383 | + | 0.0390455i | ||||
\(421\) | 32.2785 | − | 15.0517i | 1.57316 | − | 0.733575i | 0.576642 | − | 0.816997i | \(-0.304363\pi\) |
0.996514 | + | 0.0834220i | \(0.0265849\pi\) | |||||||
\(422\) | −3.87616 | − | 1.13776i | −0.188689 | − | 0.0553854i | ||||
\(423\) | 0.0464344 | + | 0.263343i | 0.00225772 | + | 0.0128042i | ||||
\(424\) | −15.3907 | + | 0.248405i | −0.747437 | + | 0.0120636i | ||||
\(425\) | −21.3012 | − | 12.2982i | −1.03326 | − | 0.596552i | ||||
\(426\) | −9.00167 | − | 20.5633i | −0.436132 | − | 0.996297i | ||||
\(427\) | 27.7761 | − | 2.43010i | 1.34418 | − | 0.117601i | ||||
\(428\) | 14.8442 | + | 2.01147i | 0.717522 | + | 0.0972281i | ||||
\(429\) | −25.7771 | − | 6.90695i | −1.24453 | − | 0.333471i | ||||
\(430\) | −0.0310763 | − | 0.204479i | −0.00149863 | − | 0.00986086i | ||||
\(431\) | −22.3533 | + | 8.13595i | −1.07672 | + | 0.391895i | −0.818687 | − | 0.574241i | \(-0.805297\pi\) |
−0.258035 | + | 0.966135i | \(0.583075\pi\) | |||||||
\(432\) | 18.5259 | − | 10.5098i | 0.891329 | − | 0.505651i | ||||
\(433\) | −38.6678 | − | 6.81817i | −1.85825 | − | 0.327660i | −0.871565 | − | 0.490280i | \(-0.836894\pi\) |
−0.986689 | + | 0.162620i | \(0.948006\pi\) | |||||||
\(434\) | −65.6845 | + | 22.1583i | −3.15296 | + | 1.06363i | ||||
\(435\) | −0.731108 | − | 0.0639637i | −0.0350540 | − | 0.00306682i | ||||
\(436\) | −20.2768 | + | 12.8101i | −0.971081 | + | 0.613492i | ||||
\(437\) | 5.04353 | − | 7.14199i | 0.241265 | − | 0.341648i | ||||
\(438\) | 7.67328 | + | 0.855061i | 0.366643 | + | 0.0408564i | ||||
\(439\) | −19.4412 | − | 23.1691i | −0.927876 | − | 1.10580i | −0.994151 | − | 0.107999i | \(-0.965556\pi\) |
0.0662746 | − | 0.997801i | \(-0.478889\pi\) | |||||||
\(440\) | 0.0495274 | + | 0.477257i | 0.00236113 | + | 0.0227523i | ||||
\(441\) | 2.00000 | + | 0.352654i | 0.0952382 | + | 0.0167931i | ||||
\(442\) | −2.48097 | − | 38.9827i | −0.118008 | − | 1.85422i | ||||
\(443\) | −5.92838 | + | 12.7134i | −0.281666 | + | 0.604034i | −0.995338 | − | 0.0964455i | \(-0.969253\pi\) |
0.713673 | + | 0.700479i | \(0.247030\pi\) | |||||||
\(444\) | −5.87852 | + | 6.36672i | −0.278982 | + | 0.302151i | ||||
\(445\) | −0.228624 | + | 0.853236i | −0.0108378 | + | 0.0404473i | ||||
\(446\) | 7.70914 | + | 0.182813i | 0.365039 | + | 0.00865643i | ||||
\(447\) | −15.7602 | − | 13.2244i | −0.745432 | − | 0.625492i | ||||
\(448\) | −35.1876 | − | 5.03968i | −1.66246 | − | 0.238103i | ||||
\(449\) | 7.79555 | + | 4.50076i | 0.367895 | + | 0.212404i | 0.672538 | − | 0.740062i | \(-0.265204\pi\) |
−0.304644 | + | 0.952466i | \(0.598537\pi\) | |||||||
\(450\) | −0.586004 | + | 0.961596i | −0.0276245 | + | 0.0453301i | ||||
\(451\) | −2.02424 | − | 1.41739i | −0.0953175 | − | 0.0667421i | ||||
\(452\) | −4.21560 | + | 10.0694i | −0.198285 | + | 0.473624i | ||||
\(453\) | −8.11781 | − | 17.4087i | −0.381408 | − | 0.817932i | ||||
\(454\) | −9.82626 | − | 14.7665i | −0.461169 | − | 0.693025i | ||||
\(455\) | − | 1.49863i | − | 0.0702570i | ||||||
\(456\) | −11.7109 | + | 17.1648i | −0.548414 | + | 0.803816i | ||||
\(457\) | 4.39882i | 0.205768i | 0.994693 | + | 0.102884i | \(0.0328071\pi\) | ||||
−0.994693 | + | 0.102884i | \(0.967193\pi\) | |||||||
\(458\) | −17.3101 | + | 11.5189i | −0.808849 | + | 0.538244i | ||||
\(459\) | 11.0783 | + | 23.7575i | 0.517090 | + | 1.10890i | ||||
\(460\) | 0.0914421 | + | 0.223146i | 0.00426351 | + | 0.0104042i | ||||
\(461\) | −8.55853 | − | 5.99275i | −0.398610 | − | 0.279110i | 0.357035 | − | 0.934091i | \(-0.383788\pi\) |
−0.755645 | + | 0.654981i | \(0.772677\pi\) | |||||||
\(462\) | −25.5222 | − | 15.5534i | −1.18740 | − | 0.723610i | ||||
\(463\) | 32.7050 | + | 18.8822i | 1.51993 | + | 0.877531i | 0.999724 | + | 0.0234889i | \(0.00747743\pi\) |
0.520204 | + | 0.854042i | \(0.325856\pi\) | |||||||
\(464\) | 18.7922 | − | 22.0544i | 0.872406 | − | 1.02385i | ||||
\(465\) | −0.856195 | − | 0.718433i | −0.0397051 | − | 0.0333165i | ||||
\(466\) | 0.131966 | − | 5.56498i | 0.00611323 | − | 0.257793i | ||||
\(467\) | −5.33507 | + | 19.9108i | −0.246878 | + | 0.921360i | 0.725553 | + | 0.688167i | \(0.241584\pi\) |
−0.972430 | + | 0.233194i | \(0.925082\pi\) | |||||||
\(468\) | −1.78691 | + | 0.0712424i | −0.0826001 | + | 0.00329318i | ||||
\(469\) | −10.8742 | + | 23.3198i | −0.502123 | + | 1.07681i | ||||
\(470\) | 0.142356 | − | 0.00905993i | 0.00656638 | − | 0.000417903i | ||||
\(471\) | −5.35371 | − | 0.944004i | −0.246686 | − | 0.0434974i | ||||
\(472\) | −24.3786 | + | 30.0242i | −1.12211 | + | 1.38198i | ||||
\(473\) | 4.41322 | + | 5.25948i | 0.202920 | + | 0.241831i | ||||
\(474\) | 2.84098 | − | 25.4948i | 0.130491 | − | 1.17102i | ||||
\(475\) | 1.98482 | − | 21.6881i | 0.0910698 | − | 0.995119i | ||||
\(476\) | 9.63035 | − | 42.6746i | 0.441406 | − | 1.95599i | ||||
\(477\) | −0.863999 | − | 0.0755901i | −0.0395598 | − | 0.00346104i | ||||
\(478\) | 5.58403 | + | 16.5529i | 0.255407 | + | 0.757111i | ||||
\(479\) | 7.05172 | + | 1.24341i | 0.322201 | + | 0.0568128i | 0.332410 | − | 0.943135i | \(-0.392138\pi\) |
−0.0102084 | + | 0.999948i | \(0.503249\pi\) | |||||||
\(480\) | −0.225850 | − | 0.526751i | −0.0103086 | − | 0.0240428i | ||||
\(481\) | 13.5539 | − | 4.93321i | 0.618003 | − | 0.224935i | ||||
\(482\) | −5.09790 | + | 0.774768i | −0.232203 | + | 0.0352897i | ||||
\(483\) | −14.5097 | − | 3.88786i | −0.660214 | − | 0.176904i | ||||
\(484\) | 3.67818 | + | 4.83126i | 0.167190 | + | 0.219603i | ||||
\(485\) | 0.816009 | − | 0.0713915i | 0.0370530 | − | 0.00324172i | ||||
\(486\) | 2.14333 | − | 0.938249i | 0.0972233 | − | 0.0425598i | ||||
\(487\) | 0.134615 | + | 0.0777199i | 0.00609998 | + | 0.00352182i | 0.503047 | − | 0.864259i | \(-0.332212\pi\) |
−0.496947 | + | 0.867781i | \(0.665546\pi\) | |||||||
\(488\) | −17.7463 | + | 0.286424i | −0.803336 | + | 0.0129658i | ||||
\(489\) | 2.29795 | + | 13.0323i | 0.103917 | + | 0.589343i | ||||
\(490\) | 0.305116 | − | 1.03948i | 0.0137837 | − | 0.0469589i | ||||
\(491\) | 11.3334 | − | 5.28487i | 0.511471 | − | 0.238503i | −0.149709 | − | 0.988730i | \(-0.547834\pi\) |
0.661180 | + | 0.750227i | \(0.270056\pi\) | |||||||
\(492\) | 2.81169 | + | 0.898238i | 0.126761 | + | 0.0404957i | ||||
\(493\) | 25.2152 | + | 25.2152i | 1.13564 | + | 1.13564i | ||||
\(494\) | 30.4206 | − | 16.4570i | 1.36869 | − | 0.740435i | ||||
\(495\) | 0.0270354i | 0.00121515i | ||||||||
\(496\) | 42.7085 | − | 11.0979i | 1.91767 | − | 0.498308i | ||||
\(497\) | −14.3121 | + | 39.3221i | −0.641984 | + | 1.76384i | ||||
\(498\) | 2.47278 | + | 4.52759i | 0.110808 | + | 0.202886i | ||||
\(499\) | −3.04642 | + | 4.35075i | −0.136377 | + | 0.194766i | −0.881531 | − | 0.472126i | \(-0.843487\pi\) |
0.745155 | + | 0.666892i | \(0.232376\pi\) | |||||||
\(500\) | 0.950696 | + | 0.735229i | 0.0425164 | + | 0.0328804i | ||||
\(501\) | 27.1848 | − | 7.28416i | 1.21453 | − | 0.325432i | ||||
\(502\) | 26.5334 | − | 11.6151i | 1.18424 | − | 0.518406i | ||||
\(503\) | −33.4928 | − | 28.1038i | −1.49337 | − | 1.25309i | −0.890282 | − | 0.455409i | \(-0.849493\pi\) |
−0.603086 | − | 0.797676i | \(-0.706063\pi\) | |||||||
\(504\) | −1.94274 | − | 0.487094i | −0.0865367 | − | 0.0216969i | ||||
\(505\) | −0.622906 | + | 0.359635i | −0.0277190 | + | 0.0160035i | ||||
\(506\) | −6.44686 | − | 4.74582i | −0.286598 | − | 0.210978i | ||||
\(507\) | −28.2285 | − | 13.1631i | −1.25367 | − | 0.584596i | ||||
\(508\) | −2.97553 | − | 0.141201i | −0.132018 | − | 0.00626479i | ||||
\(509\) | −3.60896 | + | 2.52702i | −0.159964 | + | 0.112008i | −0.650818 | − | 0.759234i | \(-0.725574\pi\) |
0.490854 | + | 0.871242i | \(0.336685\pi\) | |||||||
\(510\) | 0.668349 | − | 0.225464i | 0.0295950 | − | 0.00998372i | ||||
\(511\) | −9.25155 | − | 11.0256i | −0.409265 | − | 0.487743i | ||||
\(512\) | 22.1142 | + | 4.79176i | 0.977320 | + | 0.211768i | ||||
\(513\) | −14.9903 | + | 17.7205i | −0.661840 | + | 0.782380i | ||||
\(514\) | 6.33579 | + | 7.92491i | 0.279460 | + | 0.349553i | ||||
\(515\) | −0.0580149 | + | 0.663113i | −0.00255644 | + | 0.0292203i | ||||
\(516\) | −6.89984 | − | 4.43249i | −0.303748 | − | 0.195129i | ||||
\(517\) | −3.87881 | + | 2.71597i | −0.170590 | + | 0.119448i | ||||
\(518\) | 16.1215 | − | 1.02602i | 0.708339 | − | 0.0450807i | ||||
\(519\) | 18.9824 | − | 6.90901i | 0.833233 | − | 0.303272i | ||||
\(520\) | −0.0677961 | + | 0.951550i | −0.00297306 | + | 0.0417282i | ||||
\(521\) | 15.9890 | + | 27.6938i | 0.700491 | + | 1.21329i | 0.968294 | + | 0.249812i | \(0.0803688\pi\) |
−0.267804 | + | 0.963473i | \(0.586298\pi\) | |||||||
\(522\) | 1.18146 | − | 1.12672i | 0.0517110 | − | 0.0493153i | ||||
\(523\) | −1.92408 | − | 21.9923i | −0.0841341 | − | 0.961657i | −0.914539 | − | 0.404497i | \(-0.867447\pi\) |
0.830405 | − | 0.557160i | \(-0.188109\pi\) | |||||||
\(524\) | 6.69888 | + | 3.51951i | 0.292642 | + | 0.153750i | ||||
\(525\) | −36.1423 | + | 9.68431i | −1.57738 | + | 0.422658i | ||||
\(526\) | −7.80912 | + | 12.8143i | −0.340494 | + | 0.558729i | ||||
\(527\) | 9.43039 | + | 53.4824i | 0.410794 | + | 2.32973i | ||||
\(528\) | 15.5016 | + | 11.0302i | 0.674619 | + | 0.480026i | ||||
\(529\) | 17.8321 | + | 6.49037i | 0.775311 | + | 0.282190i | ||||
\(530\) | −0.0911172 | + | 0.453588i | −0.00395788 | + | 0.0197026i | ||||
\(531\) | −1.54089 | + | 1.54089i | −0.0668691 | + | 0.0668691i | ||||
\(532\) | 37.8820 | − | 8.08950i | 1.64239 | − | 0.350725i | ||||
\(533\) | −3.47404 | − | 3.47404i | −0.150477 | − | 0.150477i | ||||
\(534\) | 19.4038 | + | 29.1591i | 0.839683 | + | 1.26184i | ||||
\(535\) | 0.153992 | − | 0.423090i | 0.00665766 | − | 0.0182918i | ||||
\(536\) | 7.95947 | − | 14.3148i | 0.343797 | − | 0.618307i | ||||
\(537\) | 20.2888 | − | 3.57746i | 0.875526 | − | 0.154379i | ||||
\(538\) | 20.7454 | − | 5.03478i | 0.894400 | − | 0.217065i | ||||
\(539\) | 9.30764 | + | 34.7366i | 0.400909 | + | 1.49621i | ||||
\(540\) | −0.190195 | − | 0.611280i | −0.00818469 | − | 0.0263053i | ||||
\(541\) | 29.2664 | − | 2.56048i | 1.25826 | − | 0.110083i | 0.561554 | − | 0.827440i | \(-0.310204\pi\) |
0.696706 | + | 0.717357i | \(0.254648\pi\) | |||||||
\(542\) | 0.157427 | − | 6.63866i | 0.00676209 | − | 0.285155i | ||||
\(543\) | 2.14678 | − | 1.23944i | 0.0921269 | − | 0.0531895i | ||||
\(544\) | −8.04529 | + | 26.6604i | −0.344939 | + | 1.14305i | ||||
\(545\) | 0.246557 | + | 0.677409i | 0.0105613 | + | 0.0290170i | ||||
\(546\) | −44.6018 | − | 39.2643i | −1.90878 | − | 1.68036i | ||||
\(547\) | −3.81124 | − | 5.44302i | −0.162957 | − | 0.232727i | 0.729367 | − | 0.684123i | \(-0.239815\pi\) |
−0.892323 | + | 0.451396i | \(0.850926\pi\) | |||||||
\(548\) | 24.0998 | + | 15.4818i | 1.02949 | + | 0.661350i | ||||
\(549\) | −0.996238 | − | 0.0871595i | −0.0425184 | − | 0.00371988i | ||||
\(550\) | −19.8178 | − | 2.20837i | −0.845035 | − | 0.0941652i | ||||
\(551\) | −10.9176 | + | 29.6271i | −0.465107 | + | 1.26216i | ||||
\(552\) | 9.03699 | + | 3.12498i | 0.384640 | + | 0.133008i | ||||
\(553\) | −36.6330 | + | 30.7387i | −1.55779 | + | 1.30714i | ||||
\(554\) | −9.93436 | − | 4.92248i | −0.422071 | − | 0.209136i | ||||
\(555\) | 0.149392 | + | 0.213354i | 0.00634133 | + | 0.00905636i | ||||
\(556\) | −7.98999 | + | 7.26603i | −0.338851 | + | 0.308148i | ||||
\(557\) | −7.09642 | + | 15.2183i | −0.300685 | + | 0.644821i | −0.997364 | − | 0.0725623i | \(-0.976882\pi\) |
0.696679 | + | 0.717383i | \(0.254660\pi\) | |||||||
\(558\) | 2.45810 | − | 0.373577i | 0.104060 | − | 0.0158148i | ||||
\(559\) | 6.82514 | + | 11.8215i | 0.288673 | + | 0.499996i | ||||
\(560\) | −0.373007 | + | 1.00118i | −0.0157624 | + | 0.0423076i | ||||
\(561\) | −15.0507 | + | 17.9367i | −0.635440 | + | 0.757288i | ||||
\(562\) | −20.5623 | − | 8.04109i | −0.867369 | − | 0.339193i | ||||
\(563\) | −3.77278 | − | 14.0802i | −0.159004 | − | 0.593409i | −0.998729 | − | 0.0503984i | \(-0.983951\pi\) |
0.839726 | − | 0.543011i | \(-0.182716\pi\) | |||||||
\(564\) | 3.46010 | − | 4.47412i | 0.145696 | − | 0.188394i | ||||
\(565\) | 0.268767 | + | 0.188192i | 0.0113071 | + | 0.00791731i | ||||
\(566\) | −3.91896 | − | 1.15033i | −0.164726 | − | 0.0483518i | ||||
\(567\) | 35.4760 | + | 12.9122i | 1.48985 | + | 0.542262i | ||||
\(568\) | 10.8663 | − | 24.3199i | 0.455938 | − | 1.02044i | ||||
\(569\) | 23.3364 | 0.978313 | 0.489156 | − | 0.872196i | \(-0.337305\pi\) | ||||
0.489156 | + | 0.872196i | \(0.337305\pi\) | |||||||
\(570\) | 0.429221 | + | 0.453688i | 0.0179781 | + | 0.0190029i | ||||
\(571\) | −2.90566 | + | 2.90566i | −0.121598 | + | 0.121598i | −0.765287 | − | 0.643689i | \(-0.777403\pi\) |
0.643689 | + | 0.765287i | \(0.277403\pi\) | |||||||
\(572\) | −14.5159 | − | 28.1445i | −0.606942 | − | 1.17678i | ||||
\(573\) | −1.25580 | − | 2.69308i | −0.0524620 | − | 0.112505i | ||||
\(574\) | −2.63748 | − | 4.82914i | −0.110086 | − | 0.201565i | ||||
\(575\) | −9.86974 | + | 1.74030i | −0.411597 | + | 0.0725756i | ||||
\(576\) | 1.21150 | + | 0.397165i | 0.0504792 | + | 0.0165486i | ||||
\(577\) | 5.12486 | − | 8.87651i | 0.213351 | − | 0.369534i | −0.739410 | − | 0.673255i | \(-0.764896\pi\) |
0.952761 | + | 0.303721i | \(0.0982290\pi\) | |||||||
\(578\) | −9.52839 | − | 3.72617i | −0.396329 | − | 0.154988i | ||||
\(579\) | −1.03834 | − | 11.8683i | −0.0431519 | − | 0.493228i | ||||
\(580\) | −0.527541 | − | 0.692920i | −0.0219050 | − | 0.0287719i | ||||
\(581\) | 2.48906 | − | 9.28929i | 0.103264 | − | 0.385385i | ||||
\(582\) | 19.2548 | − | 26.1562i | 0.798136 | − | 1.08421i | ||||
\(583\) | −5.25273 | − | 14.4318i | −0.217546 | − | 0.597703i | ||||
\(584\) | 5.37545 | + | 7.41917i | 0.222438 | + | 0.307007i | ||||
\(585\) | −0.00933376 | + | 0.0529344i | −0.000385904 | + | 0.00218857i | ||||
\(586\) | 12.5887 | − | 25.4061i | 0.520036 | − | 1.04952i | ||||
\(587\) | 2.72010 | − | 31.0909i | 0.112271 | − | 1.28326i | −0.705912 | − | 0.708300i | \(-0.749462\pi\) |
0.818182 | − | 0.574959i | \(-0.194982\pi\) | |||||||
\(588\) | −22.9425 | − | 36.3152i | −0.946135 | − | 1.49761i | ||||
\(589\) | −39.4997 | + | 27.4234i | −1.62756 | + | 1.12996i | ||||
\(590\) | 0.725882 | + | 0.907945i | 0.0298841 | + | 0.0373795i | ||||
\(591\) | 8.71453 | − | 7.31235i | 0.358468 | − | 0.300790i | ||||
\(592\) | −10.2827 | − | 0.0778489i | −0.422616 | − | 0.00319957i | ||||
\(593\) | −2.42984 | + | 13.7803i | −0.0997814 | + | 0.565889i | 0.893395 | + | 0.449271i | \(0.148316\pi\) |
−0.993177 | + | 0.116618i | \(0.962795\pi\) | |||||||
\(594\) | 15.9511 | + | 14.0422i | 0.654481 | + | 0.576160i | ||||
\(595\) | −1.19171 | − | 0.555702i | −0.0488552 | − | 0.0227816i | ||||
\(596\) | −0.972570 | − | 24.3942i | −0.0398380 | − | 0.999223i | ||||
\(597\) | 1.91836 | + | 0.514022i | 0.0785131 | + | 0.0210375i | ||||
\(598\) | −10.9843 | − | 11.5179i | −0.449180 | − | 0.471001i | ||||
\(599\) | 20.9655 | − | 24.9857i | 0.856625 | − | 1.02089i | −0.142890 | − | 0.989739i | \(-0.545639\pi\) |
0.999515 | − | 0.0311476i | \(-0.00991618\pi\) | |||||||
\(600\) | 23.3865 | − | 4.51398i | 0.954751 | − | 0.184282i | ||||
\(601\) | −4.27504 | + | 7.40458i | −0.174382 | + | 0.302039i | −0.939947 | − | 0.341319i | \(-0.889126\pi\) |
0.765565 | + | 0.643359i | \(0.222460\pi\) | |||||||
\(602\) | 3.60561 | + | 14.8566i | 0.146954 | + | 0.605511i | ||||
\(603\) | 0.529335 | − | 0.755969i | 0.0215562 | − | 0.0307854i | ||||
\(604\) | 8.80238 | − | 21.0254i | 0.358164 | − | 0.855510i | ||||
\(605\) | 0.165406 | − | 0.0771301i | 0.00672471 | − | 0.00313578i | ||||
\(606\) | −5.61686 | + | 27.9612i | −0.228169 | + | 1.13585i | ||||
\(607\) | 1.32911 | 0.0539469 | 0.0269734 | − | 0.999636i | \(-0.491413\pi\) | ||||
0.0269734 | + | 0.999636i | \(0.491413\pi\) | |||||||
\(608\) | −24.4190 | + | 3.42267i | −0.990319 | + | 0.138807i | ||||
\(609\) | 54.2473 | 2.19821 | ||||||||
\(610\) | −0.105063 | + | 0.523012i | −0.00425388 | + | 0.0211761i | ||||
\(611\) | −8.53224 | + | 3.97865i | −0.345177 | + | 0.160959i | ||||
\(612\) | −0.605946 | + | 1.44736i | −0.0244939 | + | 0.0585062i | ||||
\(613\) | −5.31812 | + | 7.59507i | −0.214797 | + | 0.306762i | −0.912063 | − | 0.410051i | \(-0.865511\pi\) |
0.697266 | + | 0.716813i | \(0.254400\pi\) | |||||||
\(614\) | 8.60169 | + | 35.4426i | 0.347136 | + | 1.43035i | ||||
\(615\) | 0.0443586 | − | 0.0768314i | 0.00178871 | − | 0.00309814i | ||||
\(616\) | −6.72155 | − | 34.8238i | −0.270819 | − | 1.40309i | ||||
\(617\) | −27.0827 | + | 32.2759i | −1.09031 | + | 1.29938i | −0.139289 | + | 0.990252i | \(0.544482\pi\) |
−0.951020 | + | 0.309129i | \(0.899963\pi\) | |||||||
\(618\) | 18.2154 | + | 19.1002i | 0.732729 | + | 0.768325i | ||||
\(619\) | 30.7359 | + | 8.23565i | 1.23538 | + | 0.331019i | 0.816672 | − | 0.577102i | \(-0.195817\pi\) |
0.418707 | + | 0.908121i | \(0.362483\pi\) | |||||||
\(620\) | −0.0528362 | − | 1.32525i | −0.00212195 | − | 0.0532231i | ||||
\(621\) | 9.68014 | + | 4.51392i | 0.388451 | + | 0.181138i | ||||
\(622\) | −30.7414 | − | 27.0626i | −1.23262 | − | 1.08511i | ||||
\(623\) | 11.3380 | − | 64.3010i | 0.454247 | − | 2.57616i | ||||
\(624\) | 26.5435 | + | 26.9484i | 1.06259 | + | 1.07880i | ||||
\(625\) | −19.1096 | + | 16.0349i | −0.764384 | + | 0.641394i | ||||
\(626\) | −9.21007 | − | 11.5201i | −0.368108 | − | 0.460436i | ||||
\(627\) | −20.0043 | − | 5.44591i | −0.798896 | − | 0.217489i | ||||
\(628\) | −3.44549 | − | 5.45379i | −0.137490 | − | 0.217630i | ||||
\(629\) | 1.10299 | − | 12.6073i | 0.0439792 | − | 0.502684i | ||||
\(630\) | −0.0267277 | + | 0.0539408i | −0.00106486 | + | 0.00214905i | ||||
\(631\) | 4.90764 | − | 27.8326i | 0.195370 | − | 1.10800i | −0.716521 | − | 0.697565i | \(-0.754267\pi\) |
0.911891 | − | 0.410432i | \(-0.134622\pi\) | |||||||
\(632\) | 24.6505 | − | 17.8602i | 0.980546 | − | 0.710440i | ||||
\(633\) | 1.64662 | + | 4.52405i | 0.0654472 | + | 0.179815i | ||||
\(634\) | −1.22914 | + | 1.66970i | −0.0488155 | + | 0.0663123i | ||||
\(635\) | −0.0231733 | + | 0.0864838i | −0.000919603 | + | 0.00343200i | ||||
\(636\) | 11.1123 | + | 14.5959i | 0.440630 | + | 0.578763i | ||||
\(637\) | 6.23150 | + | 71.2264i | 0.246901 | + | 2.82209i | ||||
\(638\) | 26.9240 | + | 10.5289i | 1.06593 | + | 0.416843i | ||||
\(639\) | 0.750433 | − | 1.29979i | 0.0296867 | − | 0.0514188i | ||||
\(640\) | 0.282132 | − | 0.618821i | 0.0111522 | − | 0.0244610i | ||||
\(641\) | 24.0389 | − | 4.23872i | 0.949481 | − | 0.167419i | 0.322601 | − | 0.946535i | \(-0.395443\pi\) |
0.626880 | + | 0.779116i | \(0.284332\pi\) | |||||||
\(642\) | −8.55725 | − | 15.6681i | −0.337728 | − | 0.618369i | ||||
\(643\) | 8.09862 | + | 17.3675i | 0.319378 | + | 0.684909i | 0.998807 | − | 0.0488326i | \(-0.0155501\pi\) |
−0.679429 | + | 0.733742i | \(0.737772\pi\) | |||||||
\(644\) | −8.17090 | − | 15.8423i | −0.321979 | − | 0.624274i | ||||
\(645\) | −0.174295 | + | 0.174295i | −0.00686286 | + | 0.00686286i | ||||
\(646\) | −1.80641 | − | 30.2927i | −0.0710722 | − | 1.19185i | ||||
\(647\) | −22.3543 | −0.878837 | −0.439419 | − | 0.898282i | \(-0.644815\pi\) | ||||
−0.439419 | + | 0.898282i | \(0.644815\pi\) | |||||||
\(648\) | −21.9412 | − | 9.80344i | −0.861932 | − | 0.385115i | ||||
\(649\) | −36.2608 | − | 13.1979i | −1.42336 | − | 0.518061i | ||||
\(650\) | −38.0402 | − | 11.1659i | −1.49206 | − | 0.437961i | ||||
\(651\) | 67.6743 | + | 47.3861i | 2.65236 | + | 1.85721i | ||||
\(652\) | −9.60671 | + | 12.4221i | −0.376228 | + | 0.486486i | ||||
\(653\) | −9.63375 | − | 35.9536i | −0.376998 | − | 1.40697i | −0.850404 | − | 0.526130i | \(-0.823642\pi\) |
0.473407 | − | 0.880844i | \(-0.343024\pi\) | |||||||
\(654\) | 26.6206 | + | 10.4102i | 1.04095 | + | 0.407073i | ||||
\(655\) | 0.146197 | − | 0.174231i | 0.00571239 | − | 0.00680777i | ||||
\(656\) | 1.45619 | + | 3.18556i | 0.0568548 | + | 0.124375i | ||||
\(657\) | 0.258112 | + | 0.447063i | 0.0100699 | + | 0.0174416i | ||||
\(658\) | −10.4240 | + | 1.58422i | −0.406370 | + | 0.0617592i | ||||
\(659\) | 6.38195 | − | 13.6861i | 0.248606 | − | 0.533137i | −0.741916 | − | 0.670493i | \(-0.766083\pi\) |
0.990522 | + | 0.137356i | \(0.0438605\pi\) | |||||||
\(660\) | 0.423060 | − | 0.384727i | 0.0164676 | − | 0.0149755i | ||||
\(661\) | 21.2644 | + | 30.3688i | 0.827091 | + | 1.18121i | 0.981169 | + | 0.193150i | \(0.0618703\pi\) |
−0.154078 | + | 0.988059i | \(0.549241\pi\) | |||||||
\(662\) | −8.13871 | − | 4.03274i | −0.316320 | − | 0.156737i | ||||
\(663\) | −35.6612 | + | 29.9233i | −1.38497 | + | 1.16212i | ||||
\(664\) | −2.00065 | + | 5.78559i | −0.0776404 | + | 0.224525i | ||||
\(665\) | 0.00465217 | − | 1.16426i | 0.000180404 | − | 0.0451481i | ||||
\(666\) | −0.575831 | − | 0.0641669i | −0.0223130 | − | 0.00248642i | ||||
\(667\) | 14.4745 | + | 1.26636i | 0.560456 | + | 0.0490335i | ||||
\(668\) | 28.0985 | + | 18.0506i | 1.08716 | + | 0.698399i | ||||
\(669\) | −5.27123 | − | 7.52810i | −0.203798 | − | 0.291053i | ||||
\(670\) | −0.369510 | − | 0.325291i | −0.0142754 | − | 0.0125671i | ||||
\(671\) | −6.05668 | − | 16.6406i | −0.233816 | − | 0.642403i | ||||
\(672\) | 20.0240 | + | 37.3323i | 0.772441 | + | 1.44013i | ||||
\(673\) | −24.0047 | + | 13.8591i | −0.925315 | + | 0.534231i | −0.885327 | − | 0.464969i | \(-0.846065\pi\) |
−0.0399882 | + | 0.999200i | \(0.512732\pi\) | |||||||
\(674\) | 0.274837 | − | 11.5898i | 0.0105863 | − | 0.446421i | ||||
\(675\) | 26.5038 | − | 2.31878i | 1.02013 | − | 0.0892499i | ||||
\(676\) | −10.9806 | − | 35.2913i | −0.422332 | − | 1.35736i | ||||
\(677\) | 1.85910 | + | 6.93825i | 0.0714510 | + | 0.266659i | 0.992405 | − | 0.123012i | \(-0.0392554\pi\) |
−0.920954 | + | 0.389671i | \(0.872589\pi\) | |||||||
\(678\) | 12.6426 | − | 3.06828i | 0.485537 | − | 0.117837i | ||||
\(679\) | −59.6269 | + | 10.5138i | −2.28827 | + | 0.403484i | ||||
\(680\) | 0.731530 | + | 0.406752i | 0.0280529 | + | 0.0155982i | ||||
\(681\) | −7.22980 | + | 19.8637i | −0.277047 | + | 0.761179i | ||||
\(682\) | 24.3909 | + | 36.6536i | 0.933978 | + | 1.40354i | ||||
\(683\) | 0.350373 | + | 0.350373i | 0.0134067 | + | 0.0134067i | 0.713778 | − | 0.700372i | \(-0.246982\pi\) |
−0.700372 | + | 0.713778i | \(0.746982\pi\) | |||||||
\(684\) | −1.38844 | + | 0.0497999i | −0.0530884 | + | 0.00190415i | ||||
\(685\) | 0.608778 | − | 0.608778i | 0.0232602 | − | 0.0232602i | ||||
\(686\) | −7.10766 | + | 35.3825i | −0.271372 | + | 1.35091i | ||||
\(687\) | 23.2854 | + | 8.47520i | 0.888394 | + | 0.323349i | ||||
\(688\) | −1.61727 | − | 9.59627i | −0.0616578 | − | 0.365854i | ||||
\(689\) | −5.30221 | − | 30.0703i | −0.201998 | − | 1.14559i | ||||
\(690\) | 0.149561 | − | 0.245420i | 0.00569369 | − | 0.00934300i | ||||
\(691\) | 33.7829 | − | 9.05210i | 1.28516 | − | 0.344358i | 0.449341 | − | 0.893360i | \(-0.351659\pi\) |
0.835821 | + | 0.549002i | \(0.184992\pi\) | |||||||
\(692\) | 21.2205 | + | 11.1490i | 0.806683 | + | 0.423821i | ||||
\(693\) | −0.174169 | − | 1.99076i | −0.00661612 | − | 0.0756225i | ||||
\(694\) | −18.1095 | + | 17.2705i | −0.687427 | + | 0.655579i | ||||
\(695\) | 0.162302 | + | 0.281115i | 0.00615645 | + | 0.0106633i | ||||
\(696\) | −34.4441 | − | 2.45407i | −1.30560 | − | 0.0930215i | ||||
\(697\) | −4.05074 | + | 1.47435i | −0.153433 | + | 0.0558450i | ||||
\(698\) | −9.34661 | + | 0.594845i | −0.353775 | + | 0.0225152i | ||||
\(699\) | −5.43429 | + | 3.80513i | −0.205544 | + | 0.143923i | ||||
\(700\) | −37.3570 | − | 23.9983i | −1.41196 | − | 0.907052i | ||||
\(701\) | −0.735500 | + | 8.40680i | −0.0277794 | + | 0.317520i | 0.969573 | + | 0.244802i | \(0.0787230\pi\) |
−0.997353 | + | 0.0727184i | \(0.976833\pi\) | |||||||
\(702\) | 26.3837 | + | 33.0012i | 0.995789 | + | 1.24555i | ||||
\(703\) | 10.5451 | − | 3.79045i | 0.397715 | − | 0.142959i | ||||
\(704\) | 2.69244 | + | 22.4153i | 0.101475 | + | 0.844807i | ||||
\(705\) | −0.109273 | − | 0.130226i | −0.00411546 | − | 0.00490461i | ||||
\(706\) | 37.7617 | − | 12.7387i | 1.42118 | − | 0.479428i | ||||
\(707\) | 43.5509 | − | 30.4947i | 1.63790 | − | 1.14687i | ||||
\(708\) | 46.0401 | + | 2.18479i | 1.73029 | + | 0.0821096i | ||||
\(709\) | −13.1179 | − | 6.11699i | −0.492654 | − | 0.229728i | 0.160382 | − | 0.987055i | \(-0.448727\pi\) |
−0.653036 | + | 0.757327i | \(0.726505\pi\) | |||||||
\(710\) | −0.644756 | − | 0.474634i | −0.0241973 | − | 0.0178127i | ||||
\(711\) | 1.48539 | − | 0.857590i | 0.0557065 | − | 0.0321621i | ||||
\(712\) | −10.1079 | + | 40.3147i | −0.378810 | + | 1.51086i | ||||
\(713\) | 16.9510 | + | 14.2236i | 0.634820 | + | 0.532677i | ||||
\(714\) | −47.7615 | + | 20.9077i | −1.78743 | + | 0.782452i | ||||
\(715\) | −0.919379 | + | 0.246347i | −0.0343828 | + | 0.00921285i | ||||
\(716\) | 19.3387 | + | 14.9558i | 0.722722 | + | 0.558923i | ||||
\(717\) | 11.9416 | − | 17.0543i | 0.445966 | − | 0.636905i | ||||
\(718\) | −15.9479 | − | 29.2001i | −0.595170 | − | 1.08974i | ||||
\(719\) | 3.50940 | − | 9.64201i | 0.130879 | − | 0.359586i | −0.856893 | − | 0.515495i | \(-0.827608\pi\) |
0.987772 | + | 0.155908i | \(0.0498305\pi\) | |||||||
\(720\) | 0.0194108 | − | 0.0330403i | 0.000723399 | − | 0.00123134i | ||||
\(721\) | − | 49.2021i | − | 1.83238i | ||||||
\(722\) | 23.6843 | − | 12.6907i | 0.881438 | − | 0.472300i | ||||
\(723\) | 4.34538 | + | 4.34538i | 0.161606 | + | 0.161606i | ||||
\(724\) | 2.80205 | + | 0.895159i | 0.104137 | + | 0.0332683i | ||||
\(725\) | 32.8015 | − | 15.2956i | 1.21822 | − | 0.568064i | ||||
\(726\) | 2.03813 | − | 6.94357i | 0.0756422 | − | 0.257700i | ||||
\(727\) | 4.16703 | + | 23.6324i | 0.154546 | + | 0.876476i | 0.959199 | + | 0.282731i | \(0.0912403\pi\) |
−0.804653 | + | 0.593746i | \(0.797649\pi\) | |||||||
\(728\) | −1.13794 | − | 70.5042i | −0.0421747 | − | 2.61306i | ||||
\(729\) | −24.4894 | − | 14.1389i | −0.907013 | − | 0.523664i | ||||
\(730\) | 0.252262 | − | 0.110428i | 0.00933662 | − | 0.00408714i | ||||
\(731\) | 11.9312 | − | 1.04385i | 0.441292 | − | 0.0386080i | ||||
\(732\) | 12.8130 | + | 16.8298i | 0.473584 | + | 0.622048i | ||||
\(733\) | 29.1010 | + | 7.79759i | 1.07487 | + | 0.288010i | 0.752492 | − | 0.658601i | \(-0.228851\pi\) |
0.322377 | + | 0.946611i | \(0.395518\pi\) | |||||||
\(734\) | −25.9758 | + | 3.94775i | −0.958785 | + | 0.145714i | ||||
\(735\) | −1.21322 | + | 0.441577i | −0.0447504 | + | 0.0162878i | ||||
\(736\) | 4.47140 | + | 10.4286i | 0.164818 | + | 0.384405i | ||||
\(737\) | 16.0937 | + | 2.83775i | 0.592818 | + | 0.104530i | ||||
\(738\) | 0.0630837 | + | 0.187001i | 0.00232214 | + | 0.00688359i | ||||
\(739\) | −9.86377 | − | 0.862968i | −0.362845 | − | 0.0317448i | −0.0957242 | − | 0.995408i | \(-0.530517\pi\) |
−0.267121 | + | 0.963663i | \(0.586072\pi\) | |||||||
\(740\) | −0.0680369 | + | 0.301489i | −0.00250109 | + | 0.0110830i | ||||
\(741\) | −37.2876 | − | 17.5692i | −1.36979 | − | 0.645422i | ||||
\(742\) | 3.78730 | − | 33.9870i | 0.139036 | − | 1.24770i | ||||
\(743\) | 9.78016 | + | 11.6555i | 0.358799 | + | 0.427600i | 0.915004 | − | 0.403445i | \(-0.132187\pi\) |
−0.556205 | + | 0.831045i | \(0.687743\pi\) | |||||||
\(744\) | −40.8258 | − | 33.1491i | −1.49675 | − | 1.21530i | ||||
\(745\) | −0.722637 | − | 0.127420i | −0.0264754 | − | 0.00466833i | ||||
\(746\) | −24.3822 | + | 1.55175i | −0.892695 | + | 0.0568137i | ||||
\(747\) | −0.145773 | + | 0.312612i | −0.00533357 | + | 0.0114379i | ||||
\(748\) | −27.7630 | + | 1.10688i | −1.01512 | + | 0.0404716i | ||||
\(749\) | −8.61357 | + | 32.1463i | −0.314733 | + | 1.17460i | ||||
\(750\) | 0.0339556 | − | 1.43190i | 0.00123988 | − | 0.0522855i | ||||
\(751\) | −5.22709 | − | 4.38605i | −0.190739 | − | 0.160049i | 0.542417 | − | 0.840109i | \(-0.317509\pi\) |
−0.733156 | + | 0.680060i | \(0.761954\pi\) | |||||||
\(752\) | 6.69035 | − | 0.534324i | 0.243972 | − | 0.0194848i | ||||
\(753\) | −29.8942 | − | 17.2594i | −1.08940 | − | 0.628967i | ||||
\(754\) | 49.0813 | + | 29.9105i | 1.78744 | + | 1.08928i | ||||
\(755\) | −0.561198 | − | 0.392955i | −0.0204241 | − | 0.0143011i | ||||
\(756\) | 17.9430 | + | 43.7864i | 0.652582 | + | 1.59250i | ||||
\(757\) | 6.68201 | + | 14.3296i | 0.242862 | + | 0.520818i | 0.989521 | − | 0.144388i | \(-0.0461213\pi\) |
−0.746660 | + | 0.665206i | \(0.768344\pi\) | |||||||
\(758\) | 35.0034 | − | 23.2928i | 1.27138 | − | 0.846033i | ||||
\(759\) | 9.54048i | 0.346298i | ||||||||
\(760\) | −0.0556235 | + | 0.739033i | −0.00201768 | + | 0.0268075i | ||||
\(761\) | 5.73553i | 0.207913i | 0.994582 | + | 0.103956i | \(0.0331502\pi\) | ||||
−0.994582 | + | 0.103956i | \(0.966850\pi\) | |||||||
\(762\) | 1.96676 | + | 2.95556i | 0.0712482 | + | 0.107069i | ||||
\(763\) | −22.5192 | − | 48.2927i | −0.815251 | − | 1.74831i | ||||
\(764\) | 1.36171 | − | 3.25257i | 0.0492648 | − | 0.117674i | ||||
\(765\) | 0.0386322 | + | 0.0270506i | 0.00139675 | + | 0.000978016i | ||||
\(766\) | −1.39920 | + | 2.29600i | −0.0505551 | + | 0.0829578i | ||||
\(767\) | −66.4409 | − | 38.3597i | −2.39904 | − | 1.38509i | ||||
\(768\) | −11.0253 | − | 24.6099i | −0.397840 | − | 0.888032i | ||||
\(769\) | −20.1718 | − | 16.9261i | −0.727413 | − | 0.610372i | 0.202012 | − | 0.979383i | \(-0.435252\pi\) |
−0.929425 | + | 0.369011i | \(0.879697\pi\) | |||||||
\(770\) | −1.06570 | − | 0.0252717i | −0.0384051 | − | 0.000910730i | ||||
\(771\) | 3.12964 | − | 11.6800i | 0.112711 | − | 0.420644i | ||||
\(772\) | 9.59039 | − | 10.3869i | 0.345166 | − | 0.373831i | ||||
\(773\) | 16.5644 | − | 35.5226i | 0.595782 | − | 1.27766i | −0.344987 | − | 0.938608i | \(-0.612117\pi\) |
0.940768 | − | 0.339050i | \(-0.110106\pi\) | |||||||
\(774\) | −0.0348266 | − | 0.547219i | −0.00125182 | − | 0.0196694i | ||||
\(775\) | 54.2813 | + | 9.57126i | 1.94984 | + | 0.343810i | ||||
\(776\) | 38.3355 | − | 3.97827i | 1.37616 | − | 0.142812i | ||||
\(777\) | −12.3750 | − | 14.7479i | −0.443949 | − | 0.529078i | ||||
\(778\) | 7.02699 | + | 0.783042i | 0.251930 | + | 0.0280734i | ||||
\(779\) | −2.68814 | − | 2.70971i | −0.0963125 | − | 0.0970853i | ||||
\(780\) | 0.961161 | − | 0.607224i | 0.0344151 | − | 0.0217421i | ||||
\(781\) | 26.4759 | + | 2.31634i | 0.947381 | + | 0.0828851i | ||||
\(782\) | −13.2320 | + | 4.46375i | −0.473176 | + | 0.159623i | ||||
\(783\) | −37.9858 | − | 6.69791i | −1.35750 | − | 0.239364i | ||||
\(784\) | 13.5651 | − | 49.1347i | 0.484468 | − | 1.75481i | ||||
\(785\) | −0.182201 | + | 0.0663156i | −0.00650302 | + | 0.00236691i | ||||
\(786\) | −1.35502 | − | 8.91593i | −0.0483321 | − | 0.318021i | ||||
\(787\) | 14.6277 | + | 3.91948i | 0.521421 | + | 0.139714i | 0.509924 | − | 0.860220i | \(-0.329674\pi\) |
0.0114972 | + | 0.999934i | \(0.496340\pi\) | |||||||
\(788\) | 13.3771 | + | 1.81267i | 0.476539 | + | 0.0645736i | ||||
\(789\) | 17.8160 | − | 1.55870i | 0.634266 | − | 0.0554910i | ||||
\(790\) | −0.366904 | − | 0.838152i | −0.0130538 | − | 0.0298201i | ||||
\(791\) | −21.0030 | − | 12.1261i | −0.746782 | − | 0.431155i | ||||
\(792\) | 0.0205285 | + | 1.27190i | 0.000729447 | + | 0.0451950i | ||||
\(793\) | −6.11373 | − | 34.6727i | −0.217105 | − | 1.23126i | ||||
\(794\) | −6.14430 | − | 1.80352i | −0.218053 | − | 0.0640047i | ||||
\(795\) | 0.499713 | − | 0.233020i | 0.0177230 | − | 0.00826437i | ||||
\(796\) | 1.08029 | + | 2.09454i | 0.0382899 | + | 0.0742390i | ||||
\(797\) | 11.3653 | + | 11.3653i | 0.402578 | + | 0.402578i | 0.879141 | − | 0.476562i | \(-0.158117\pi\) |
−0.476562 | + | 0.879141i | \(0.658117\pi\) | |||||||
\(798\) | −34.5285 | − | 30.6422i | −1.22229 | − | 1.08472i | ||||
\(799\) | 8.26011i | 0.292222i | ||||||||
\(800\) | 22.6340 | + | 16.9276i | 0.800234 | + | 0.598482i | ||||
\(801\) | −0.800957 | + | 2.20061i | −0.0283004 | + | 0.0777547i | ||||
\(802\) | −12.2613 | + | 6.69664i | −0.432963 | + | 0.236467i | ||||
\(803\) | −5.24317 | + | 7.48803i | −0.185028 | + | 0.264247i | ||||
\(804\) | −19.3624 | + | 2.47458i | −0.682858 | + | 0.0872716i | ||||
\(805\) | −0.517511 | + | 0.138667i | −0.0182399 | + | 0.00488735i | ||||
\(806\) | 35.1022 | + | 80.1873i | 1.23642 | + | 2.82448i | ||||
\(807\) | −19.4893 | − | 16.3535i | −0.686057 | − | 0.575670i | ||||
\(808\) | −29.0320 | + | 17.3923i | −1.02134 | + | 0.611858i | ||||
\(809\) | −0.156917 | + | 0.0905958i | −0.00551689 | + | 0.00318518i | −0.502756 | − | 0.864428i | \(-0.667681\pi\) |
0.497239 | + | 0.867614i | \(0.334347\pi\) | |||||||
\(810\) | −0.428210 | + | 0.581693i | −0.0150458 | + | 0.0204386i | ||||
\(811\) | −43.1148 | − | 20.1047i | −1.51396 | − | 0.705973i | −0.524589 | − | 0.851356i | \(-0.675781\pi\) |
−0.989376 | + | 0.145382i | \(0.953559\pi\) | |||||||
\(812\) | 43.3095 | + | 47.6247i | 1.51986 | + | 1.67130i | ||||
\(813\) | −6.48275 | + | 4.53927i | −0.227360 | + | 0.159199i | ||||
\(814\) | −3.27951 | − | 9.72155i | −0.114947 | − | 0.340740i | ||||
\(815\) | 0.303389 | + | 0.361565i | 0.0106272 | + | 0.0126651i | ||||
\(816\) | 31.2718 | − | 11.1146i | 1.09473 | − | 0.389089i | ||||
\(817\) | 5.26564 | + | 9.20510i | 0.184221 | + | 0.322046i | ||||
\(818\) | −4.50965 | + | 3.60536i | −0.157676 | + | 0.126059i | ||||
\(819\) | 0.346277 | − | 3.95796i | 0.0120999 | − | 0.138302i | ||||
\(820\) | 0.102866 | − | 0.0223967i | 0.00359225 | − | 0.000782128i | ||||
\(821\) | −19.8108 | + | 13.8717i | −0.691401 | + | 0.484124i | −0.865697 | − | 0.500569i | \(-0.833124\pi\) |
0.174295 | + | 0.984693i | \(0.444235\pi\) | |||||||
\(822\) | −2.16820 | − | 34.0683i | −0.0756248 | − | 1.18827i | ||||
\(823\) | 12.6849 | − | 4.61691i | 0.442167 | − | 0.160935i | −0.111336 | − | 0.993783i | \(-0.535513\pi\) |
0.553503 | + | 0.832847i | \(0.313291\pi\) | |||||||
\(824\) | −2.22584 | + | 31.2407i | −0.0775408 | + | 1.08832i | ||||
\(825\) | 11.8822 | + | 20.5806i | 0.413686 | + | 0.716526i | ||||
\(826\) | −59.2995 | − | 62.1803i | −2.06329 | − | 2.16353i | ||||
\(827\) | −2.89148 | − | 33.0497i | −0.100546 | − | 1.14925i | −0.864035 | − | 0.503431i | \(-0.832071\pi\) |
0.763489 | − | 0.645821i | \(-0.223485\pi\) | |||||||
\(828\) | 0.189942 | + | 0.610468i | 0.00660095 | + | 0.0212152i | ||||
\(829\) | 6.14481 | − | 1.64650i | 0.213418 | − | 0.0571852i | −0.150526 | − | 0.988606i | \(-0.548097\pi\) |
0.363944 | + | 0.931421i | \(0.381430\pi\) | |||||||
\(830\) | 0.157121 | + | 0.0957508i | 0.00545376 | + | 0.00332356i | ||||
\(831\) | 2.29445 | + | 13.0125i | 0.0795935 | + | 0.451397i | ||||
\(832\) | −2.46699 | + | 44.8178i | −0.0855275 | + | 1.55378i | ||||
\(833\) | 58.9497 | + | 21.4559i | 2.04248 | + | 0.743404i | ||||
\(834\) | 12.6188 | + | 2.53487i | 0.436952 | + | 0.0877752i | ||||
\(835\) | 0.709788 | − | 0.709788i | 0.0245632 | − | 0.0245632i | ||||
\(836\) | −11.1898 | − | 21.9100i | −0.387008 | − | 0.757774i | ||||
\(837\) | −41.5370 | − | 41.5370i | −1.43573 | − | 1.43573i | ||||
\(838\) | −27.0954 | + | 18.0305i | −0.935994 | + | 0.622852i | ||||
\(839\) | −14.0525 | + | 38.6090i | −0.485147 | + | 1.33293i | 0.419882 | + | 0.907579i | \(0.362072\pi\) |
−0.905028 | + | 0.425351i | \(0.860151\pi\) | |||||||
\(840\) | 1.22443 | − | 0.349359i | 0.0422469 | − | 0.0120540i | ||||
\(841\) | −23.1149 | + | 4.07578i | −0.797065 | + | 0.140544i | ||||
\(842\) | −11.8791 | − | 48.9469i | −0.409380 | − | 1.68682i | ||||
\(843\) | 6.81023 | + | 25.4161i | 0.234557 | + | 0.875378i | ||||
\(844\) | −2.65713 | + | 5.05747i | −0.0914622 | + | 0.174085i | ||||
\(845\) | −1.10667 | + | 0.0968207i | −0.0380705 | + | 0.00333073i | ||||
\(846\) | 0.378062 | + | 0.00896525i | 0.0129980 | + | 0.000308232i | ||||
\(847\) | −11.6828 | + | 6.74506i | −0.401426 | + | 0.231763i | ||||
\(848\) | −3.94225 | + | 21.4086i | −0.135378 | + | 0.735174i | ||||
\(849\) | 1.66480 | + | 4.57400i | 0.0571358 | + | 0.156979i | ||||
\(850\) | −22.9846 | + | 26.1090i | −0.788364 | + | 0.895532i | ||||
\(851\) | −2.95767 | − | 4.22399i | −0.101388 | − | 0.144796i | ||||
\(852\) | −31.0186 | + | 6.75357i | −1.06268 | + | 0.231373i | ||||
\(853\) | 52.4235 | + | 4.58646i | 1.79495 | + | 0.157037i | 0.935301 | − | 0.353853i | \(-0.115129\pi\) |
0.859646 | + | 0.510891i | \(0.170684\pi\) | |||||||
\(854\) | 4.36695 | − | 39.1888i | 0.149434 | − | 1.34101i | ||||
\(855\) | −0.00741556 | + | 0.0410948i | −0.000253607 | + | 0.00140541i | ||||
\(856\) | 6.92341 | − | 20.0215i | 0.236637 | − | 0.684320i | ||||
\(857\) | 42.9218 | − | 36.0157i | 1.46618 | − | 1.23027i | 0.546585 | − | 0.837403i | \(-0.315927\pi\) |
0.919595 | − | 0.392868i | \(-0.128517\pi\) | |||||||
\(858\) | −16.7561 | + | 33.8166i | −0.572045 | + | 1.15448i | ||||
\(859\) | −31.4835 | − | 44.9631i | −1.07420 | − | 1.53412i | −0.824553 | − | 0.565785i | \(-0.808573\pi\) |
−0.249650 | − | 0.968336i | \(-0.580316\pi\) | |||||||
\(860\) | −0.292169 | − | 0.0138646i | −0.00996288 | − | 0.000472780i | ||||
\(861\) | −2.77138 | + | 5.94325i | −0.0944485 | + | 0.202545i | ||||
\(862\) | 5.05467 | + | 33.2593i | 0.172163 | + | 1.13282i | ||||
\(863\) | 10.5732 | + | 18.3134i | 0.359917 | + | 0.623395i | 0.987947 | − | 0.154795i | \(-0.0494716\pi\) |
−0.628029 | + | 0.778190i | \(0.716138\pi\) | |||||||
\(864\) | −9.41202 | − | 28.6137i | −0.320203 | − | 0.973458i | ||||
\(865\) | 0.463119 | − | 0.551924i | 0.0157465 | − | 0.0187660i | ||||
\(866\) | −20.2234 | + | 51.7144i | −0.687219 | + | 1.75733i | ||||
\(867\) | 3.15580 | + | 11.7776i | 0.107177 | + | 0.399988i | ||||
\(868\) | 12.4281 | + | 97.2442i | 0.421838 | + | 3.30068i | ||||
\(869\) | 24.8793 | + | 17.4207i | 0.843973 | + | 0.590956i | ||||
\(870\) | −0.292318 | + | 0.995878i | −0.00991051 | + | 0.0337634i | ||||
\(871\) | 30.5311 | + | 11.1124i | 1.03451 | + | 0.376530i | ||||
\(872\) | 12.1138 | + | 31.6820i | 0.410225 | + | 1.07289i | ||||
\(873\) | 2.17161 | 0.0734979 | ||||||||
\(874\) | −8.49774 | − | 8.98214i | −0.287440 | − | 0.303825i | ||||
\(875\) | −1.88801 | + | 1.88801i | −0.0638265 | + | 0.0638265i | ||||
\(876\) | 3.32275 | − | 10.4010i | 0.112265 | − | 0.351416i | ||||
\(877\) | −3.12083 | − | 6.69264i | −0.105383 | − | 0.225995i | 0.846545 | − | 0.532318i | \(-0.178679\pi\) |
−0.951928 | + | 0.306323i | \(0.900901\pi\) | |||||||
\(878\) | −37.5391 | + | 20.5023i | −1.26688 | + | 0.691920i | ||||
\(879\) | −33.2780 | + | 5.86781i | −1.12244 | + | 0.197916i | ||||
\(880\) | 0.675518 | + | 0.0642570i | 0.0227717 | + | 0.00216610i | ||||
\(881\) | 20.0875 | − | 34.7926i | 0.676766 | − | 1.17219i | −0.299183 | − | 0.954196i | \(-0.596714\pi\) |
0.975949 | − | 0.217998i | \(-0.0699526\pi\) | |||||||
\(882\) | 1.04601 | − | 2.67481i | 0.0352210 | − | 0.0900656i | ||||
\(883\) | 2.82761 | + | 32.3198i | 0.0951567 | + | 1.08765i | 0.882240 | + | 0.470800i | \(0.156035\pi\) |
−0.787083 | + | 0.616847i | \(0.788410\pi\) | |||||||
\(884\) | −54.7411 | − | 7.41771i | −1.84114 | − | 0.249485i | ||||
\(885\) | 0.358558 | − | 1.33816i | 0.0120528 | − | 0.0449816i | ||||
\(886\) | 15.9762 | + | 11.7608i | 0.536730 | + | 0.395111i | ||||
\(887\) | −6.71950 | − | 18.4617i | −0.225619 | − | 0.619883i | 0.774297 | − | 0.632822i | \(-0.218103\pi\) |
−0.999916 | + | 0.0129392i | \(0.995881\pi\) | |||||||
\(888\) | 7.19025 | + | 9.92394i | 0.241289 | + | 0.333026i | ||||
\(889\) | 1.14922 | − | 6.51753i | 0.0385435 | − | 0.218591i | ||||
\(890\) | 1.11935 | + | 0.554637i | 0.0375206 | + | 0.0185915i | ||||
\(891\) | 2.08978 | − | 23.8863i | 0.0700103 | − | 0.800221i | ||||
\(892\) | 2.40066 | − | 10.6379i | 0.0803799 | − | 0.356184i | ||||
\(893\) | −6.64090 | + | 3.06446i | −0.222229 | + | 0.102548i | ||||
\(894\) | −22.7254 | + | 18.1685i | −0.760052 | + | 0.607644i | ||||
\(895\) | 0.562885 | − | 0.472317i | 0.0188152 | − | 0.0157878i | ||||
\(896\) | −16.7882 | + | 47.3845i | −0.560854 | + | 1.58300i | ||||
\(897\) | −3.29377 | + | 18.6799i | −0.109976 | + | 0.623705i | ||||
\(898\) | 8.41162 | − | 9.55507i | 0.280699 | − | 0.318857i | ||||
\(899\) | −72.4236 | − | 33.7717i | −2.41546 | − | 1.12635i | ||||
\(900\) | 1.17005 | + | 1.08033i | 0.0390017 | + | 0.0360110i | ||||
\(901\) | −25.8779 | − | 6.93397i | −0.862118 | − | 0.231004i | ||||
\(902\) | −2.52902 | + | 2.41186i | −0.0842073 | + | 0.0803061i | ||||
\(903\) | 11.7114 | − | 13.9571i | 0.389730 | − | 0.464462i | ||||
\(904\) | 12.7872 | + | 8.64957i | 0.425296 | + | 0.287680i | ||||
\(905\) | 0.0442066 | − | 0.0765680i | 0.00146948 | − | 0.00254521i | ||||
\(906\) | −26.3984 | + | 6.40672i | −0.877029 | + | 0.212849i | ||||
\(907\) | 5.40668 | − | 7.72154i | 0.179526 | − | 0.256390i | −0.719296 | − | 0.694704i | \(-0.755535\pi\) |
0.898822 | + | 0.438314i | \(0.144424\pi\) | |||||||
\(908\) | −23.2108 | + | 9.51145i | −0.770277 | + | 0.315648i | ||||
\(909\) | −1.72822 | + | 0.805883i | −0.0573215 | + | 0.0267295i | ||||
\(910\) | −2.07788 | − | 0.417405i | −0.0688810 | − | 0.0138369i | ||||
\(911\) | 21.4338 | 0.710134 | 0.355067 | − | 0.934841i | \(-0.384458\pi\) | ||||
0.355067 | + | 0.934841i | \(0.384458\pi\) | |||||||
\(912\) | 20.5375 | + | 21.0182i | 0.680064 | + | 0.695981i | ||||
\(913\) | −6.10794 | −0.202143 | ||||||||
\(914\) | 6.09903 | + | 1.22518i | 0.201738 | + | 0.0405253i | ||||
\(915\) | 0.576196 | − | 0.268685i | 0.0190484 | − | 0.00888244i | ||||
\(916\) | 11.1499 | + | 27.2090i | 0.368402 | + | 0.899012i | ||||
\(917\) | −9.64280 | + | 13.7713i | −0.318433 | + | 0.454770i | ||||
\(918\) | 36.0256 | − | 8.74319i | 1.18902 | − | 0.288568i | ||||
\(919\) | −11.3231 | + | 19.6121i | −0.373513 | + | 0.646944i | −0.990103 | − | 0.140340i | \(-0.955180\pi\) |
0.616590 | + | 0.787284i | \(0.288514\pi\) | |||||||
\(920\) | 0.334864 | − | 0.0646343i | 0.0110401 | − | 0.00213093i | ||||
\(921\) | 27.9392 | − | 33.2966i | 0.920626 | − | 1.09716i | ||||
\(922\) | −10.6928 | + | 10.1974i | −0.352148 | + | 0.335834i | ||||
\(923\) | 51.0391 | + | 13.6759i | 1.67997 | + | 0.450148i | ||||
\(924\) | −28.6736 | + | 31.0549i | −0.943291 | + | 1.02163i | ||||
\(925\) | −11.6410 | − | 5.42830i | −0.382755 | − | 0.178481i | ||||
\(926\) | 35.2896 | − | 40.0868i | 1.15969 | − | 1.31733i | ||||
\(927\) | −0.306440 | + | 1.73791i | −0.0100648 | + | 0.0570804i | ||||
\(928\) | −25.3447 | − | 32.1984i | −0.831980 | − | 1.05696i | ||||
\(929\) | 2.09355 | − | 1.75670i | 0.0686872 | − | 0.0576354i | −0.607798 | − | 0.794092i | \(-0.707947\pi\) |
0.676485 | + | 0.736457i | \(0.263502\pi\) | |||||||
\(930\) | −1.23459 | + | 0.987027i | −0.0404838 | + | 0.0323659i | ||||
\(931\) | 4.62004 | + | 55.3539i | 0.151416 | + | 1.81415i | ||||
\(932\) | −7.67917 | − | 1.73295i | −0.251540 | − | 0.0567648i | ||||
\(933\) | −4.25411 | + | 48.6247i | −0.139273 | + | 1.59190i | ||||
\(934\) | 26.1206 | + | 12.9428i | 0.854693 | + | 0.423501i | ||||
\(935\) | −0.145017 | + | 0.822434i | −0.00474257 | + | 0.0268965i | ||||
\(936\) | −0.398920 | + | 2.49742i | −0.0130391 | + | 0.0816309i | ||||
\(937\) | −15.8628 | − | 43.5828i | −0.518217 | − | 1.42379i | −0.872483 | − | 0.488644i | \(-0.837492\pi\) |
0.354267 | − | 0.935144i | \(-0.384730\pi\) | |||||||
\(938\) | 29.3045 | + | 21.5723i | 0.956825 | + | 0.704361i | ||||
\(939\) | −4.54942 | + | 16.9787i | −0.148465 | + | 0.554078i | ||||
\(940\) | 0.0270878 | − | 0.199902i | 0.000883506 | − | 0.00652008i | ||||
\(941\) | −4.89383 | − | 55.9367i | −0.159534 | − | 1.82349i | −0.481176 | − | 0.876624i | \(-0.659790\pi\) |
0.321641 | − | 0.946862i | \(-0.395766\pi\) | |||||||
\(942\) | −2.80001 | + | 7.16007i | −0.0912293 | + | 0.233288i | ||||
\(943\) | −0.878214 | + | 1.52111i | −0.0285986 | + | 0.0495342i | ||||
\(944\) | 34.8390 | + | 42.1637i | 1.13391 | + | 1.37231i | ||||
\(945\) | 1.40067 | − | 0.246976i | 0.0455639 | − | 0.00803414i | ||||
\(946\) | 8.52153 | − | 4.65411i | 0.277059 | − | 0.151318i | ||||
\(947\) | 2.51255 | + | 5.38818i | 0.0816470 | + | 0.175092i | 0.942893 | − | 0.333096i | \(-0.108093\pi\) |
−0.861246 | + | 0.508188i | \(0.830315\pi\) | |||||||
\(948\) | −34.5577 | − | 11.0400i | −1.12238 | − | 0.358562i | ||||
\(949\) | −12.8511 | + | 12.8511i | −0.417165 | + | 0.417165i | ||||
\(950\) | −29.5181 | − | 8.79264i | −0.957693 | − | 0.285271i | ||||
\(951\) | 2.47093 | 0.0801255 | ||||||||
\(952\) | −56.4867 | − | 25.2385i | −1.83074 | − | 0.817985i | ||||
\(953\) | −56.2976 | − | 20.4906i | −1.82366 | − | 0.663757i | −0.994499 | − | 0.104742i | \(-0.966598\pi\) |
−0.829158 | − | 0.559015i | \(-0.811179\pi\) | |||||||
\(954\) | −0.345452 | + | 1.17689i | −0.0111844 | + | 0.0381034i | ||||
\(955\) | −0.0868159 | − | 0.0607891i | −0.00280930 | − | 0.00196709i | ||||
\(956\) | 24.5061 | − | 3.13196i | 0.792584 | − | 0.101295i | ||||
\(957\) | −8.91723 | − | 33.2796i | −0.288253 | − | 1.07578i | ||||
\(958\) | 3.68808 | − | 9.43099i | 0.119156 | − | 0.304702i | ||||
\(959\) | −40.9055 | + | 48.7493i | −1.32091 | + | 1.57420i | ||||
\(960\) | −0.793253 | + | 0.166432i | −0.0256021 | + | 0.00537158i | ||||
\(961\) | −45.3493 | − | 78.5473i | −1.46288 | − | 2.53378i | ||||
\(962\) | −3.06488 | − | 20.1667i | −0.0988158 | − | 0.650199i | ||||
\(963\) | 0.504460 | − | 1.08182i | 0.0162560 | − | 0.0348611i | ||||
\(964\) | −0.345661 | + | 7.28411i | −0.0111330 | + | 0.234605i | ||||
\(965\) | −0.243722 | − | 0.348072i | −0.00784570 | − | 0.0112048i | ||||
\(966\) | −9.43188 | + | 19.0351i | −0.303466 | + | 0.612443i | ||||
\(967\) | 30.9631 | − | 25.9811i | 0.995705 | − | 0.835496i | 0.00932157 | − | 0.999957i | \(-0.497033\pi\) |
0.986384 | + | 0.164461i | \(0.0525884\pi\) | |||||||
\(968\) | 7.72308 | − | 3.75424i | 0.248229 | − | 0.120666i | ||||
\(969\) | −27.7975 | + | 23.1362i | −0.892983 | + | 0.743242i | ||||
\(970\) | 0.128293 | − | 1.15129i | 0.00411923 | − | 0.0369658i | ||||
\(971\) | −55.6755 | − | 4.87098i | −1.78671 | − | 0.156317i | −0.854790 | − | 0.518975i | \(-0.826314\pi\) |
−0.931922 | + | 0.362657i | \(0.881869\pi\) | |||||||
\(972\) | −0.703928 | − | 3.23308i | −0.0225785 | − | 0.103701i | ||||
\(973\) | −13.7621 | − | 19.6543i | −0.441193 | − | 0.630089i | ||||
\(974\) | 0.145253 | − | 0.164999i | 0.00465421 | − | 0.00528689i | ||||
\(975\) | 16.1597 | + | 44.3984i | 0.517524 | + | 1.42189i | ||||
\(976\) | −4.54563 | + | 24.6852i | −0.145502 | + | 0.790155i | ||||
\(977\) | −45.1145 | + | 26.0468i | −1.44334 | + | 0.833312i | −0.998071 | − | 0.0620849i | \(-0.980225\pi\) |
−0.445268 | + | 0.895397i | \(0.646892\pi\) | |||||||
\(978\) | 18.7096 | + | 0.443674i | 0.598266 | + | 0.0141871i | ||||
\(979\) | −41.3110 | + | 3.61425i | −1.32031 | + | 0.115512i | ||||
\(980\) | −1.35627 | − | 0.712568i | −0.0433245 | − | 0.0227622i | ||||
\(981\) | 0.494644 | + | 1.84604i | 0.0157928 | + | 0.0589395i | ||||
\(982\) | −4.17092 | − | 17.1860i | −0.133099 | − | 0.548426i | ||||
\(983\) | 29.7919 | − | 5.25312i | 0.950215 | − | 0.167549i | 0.323004 | − | 0.946398i | \(-0.395307\pi\) |
0.627211 | + | 0.778849i | \(0.284196\pi\) | |||||||
\(984\) | 2.02854 | − | 3.64827i | 0.0646676 | − | 0.116303i | ||||
\(985\) | 0.138772 | − | 0.381273i | 0.00442165 | − | 0.0121484i | ||||
\(986\) | 41.9844 | − | 27.9383i | 1.33705 | − | 0.889736i | ||||
\(987\) | 8.88527 | + | 8.88527i | 0.282821 | + | 0.282821i | ||||
\(988\) | −14.3450 | − | 46.7622i | −0.456376 | − | 1.48770i | ||||
\(989\) | 3.45070 | − | 3.45070i | 0.109726 | − | 0.109726i | ||||
\(990\) | 0.0374850 | + | 0.00753002i | 0.00119135 | + | 0.000239320i | ||||
\(991\) | 33.9679 | + | 12.3633i | 1.07902 | + | 0.392733i | 0.819545 | − | 0.573015i | \(-0.194226\pi\) |
0.259480 | + | 0.965748i | \(0.416449\pi\) | |||||||
\(992\) | −3.49200 | − | 62.3070i | −0.110871 | − | 1.97825i | ||||
\(993\) | 1.87972 | + | 10.6604i | 0.0596512 | + | 0.338299i | ||||
\(994\) | 50.5344 | + | 30.7960i | 1.60285 | + | 0.976791i | ||||
\(995\) | 0.0684211 | − | 0.0183334i | 0.00216910 | − | 0.000581207i | ||||
\(996\) | 6.96630 | − | 2.16751i | 0.220736 | − | 0.0686801i | ||||
\(997\) | 3.12776 | + | 35.7505i | 0.0990572 | + | 1.13223i | 0.869235 | + | 0.494400i | \(0.164612\pi\) |
−0.770178 | + | 0.637830i | \(0.779832\pi\) | |||||||
\(998\) | 5.18387 | + | 5.43570i | 0.164093 | + | 0.172064i | ||||
\(999\) | 6.84443 | + | 11.8549i | 0.216548 | + | 0.375072i |
(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 | 304.2.bg.a.203.23 | yes | 456 | |
16.3 | odd | 4 | inner | 304.2.bg.a.51.2 | yes | 456 | |
19.3 | odd | 18 | inner | 304.2.bg.a.155.2 | yes | 456 | |
304.3 | even | 36 | inner | 304.2.bg.a.3.23 | ✓ | 456 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
304.2.bg.a.3.23 | ✓ | 456 | 304.3 | even | 36 | inner | |
304.2.bg.a.51.2 | yes | 456 | 16.3 | odd | 4 | inner | |
304.2.bg.a.155.2 | yes | 456 | 19.3 | odd | 18 | inner | |
304.2.bg.a.203.23 | yes | 456 | 1.1 | even | 1 | trivial |