Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [276,2,Mod(7,276)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(276, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 0, 19]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("276.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 276 = 2^{2} \cdot 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 276.m (of order \(22\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.20387109579\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 103.13 | ||
Character | \(\chi\) | \(=\) | 276.103 |
Dual form | 276.2.m.a.67.13 |
$q$-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 \(\left(\mathbb{Z}/276\mathbb{Z}\right)^\times\).
\(n\) | \(97\) | \(139\) | \(185\) |
\(\chi(n)\) | \(e\left(\frac{9}{22}\right)\) | \(-1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.212362 | − | 1.39818i | 0.150162 | − | 0.988661i | ||||
\(3\) | 0.989821 | + | 0.142315i | 0.571474 | + | 0.0821655i | ||||
\(4\) | −1.90980 | − | 0.593839i | −0.954902 | − | 0.296920i | ||||
\(5\) | −0.480071 | − | 1.63497i | −0.214694 | − | 0.731181i | −0.994461 | − | 0.105111i | \(-0.966480\pi\) |
0.779766 | − | 0.626071i | \(-0.215338\pi\) | |||||||
\(6\) | 0.409182 | − | 1.35372i | 0.167048 | − | 0.552656i | ||||
\(7\) | −2.02475 | − | 2.33669i | −0.765285 | − | 0.883186i | 0.230671 | − | 0.973032i | \(-0.425908\pi\) |
−0.995956 | + | 0.0898460i | \(0.971363\pi\) | |||||||
\(8\) | −1.23586 | + | 2.54414i | −0.436943 | + | 0.899489i | ||||
\(9\) | 0.959493 | + | 0.281733i | 0.319831 | + | 0.0939109i | ||||
\(10\) | −2.38793 | + | 0.324019i | −0.755130 | + | 0.102464i | ||||
\(11\) | −1.24970 | − | 0.803133i | −0.376799 | − | 0.242154i | 0.338510 | − | 0.940963i | \(-0.390077\pi\) |
−0.715308 | + | 0.698809i | \(0.753714\pi\) | |||||||
\(12\) | −1.80585 | − | 0.859588i | −0.521305 | − | 0.248142i | ||||
\(13\) | 3.23036 | − | 3.72803i | 0.895940 | − | 1.03397i | −0.103286 | − | 0.994652i | \(-0.532936\pi\) |
0.999227 | − | 0.0393187i | \(-0.0125187\pi\) | |||||||
\(14\) | −3.69709 | + | 2.33474i | −0.988089 | + | 0.623986i | ||||
\(15\) | −0.242504 | − | 1.68665i | −0.0626142 | − | 0.435491i | ||||
\(16\) | 3.29471 | + | 2.26823i | 0.823677 | + | 0.567059i | ||||
\(17\) | −3.39542 | + | 1.55064i | −0.823510 | + | 0.376085i | −0.782173 | − | 0.623061i | \(-0.785889\pi\) |
−0.0413368 | + | 0.999145i | \(0.513162\pi\) | |||||||
\(18\) | 0.597672 | − | 1.28171i | 0.140873 | − | 0.302103i | ||||
\(19\) | −0.270449 | + | 0.592201i | −0.0620453 | + | 0.135860i | −0.938115 | − | 0.346325i | \(-0.887429\pi\) |
0.876069 | + | 0.482185i | \(0.160157\pi\) | |||||||
\(20\) | −0.0540684 | + | 3.40756i | −0.0120901 | + | 0.761954i | ||||
\(21\) | −1.67160 | − | 2.60106i | −0.364773 | − | 0.567598i | ||||
\(22\) | −1.38831 | + | 1.57675i | −0.295989 | + | 0.336164i | ||||
\(23\) | 4.75957 | + | 0.588651i | 0.992439 | + | 0.122742i | ||||
\(24\) | −1.58535 | + | 2.34236i | −0.323609 | + | 0.478133i | ||||
\(25\) | 1.76360 | − | 1.13340i | 0.352721 | − | 0.226680i | ||||
\(26\) | −4.52645 | − | 5.30831i | −0.887710 | − | 1.04105i | ||||
\(27\) | 0.909632 | + | 0.415415i | 0.175059 | + | 0.0799467i | ||||
\(28\) | 2.47927 | + | 5.66500i | 0.468537 | + | 1.07058i | ||||
\(29\) | −1.83575 | − | 4.01973i | −0.340890 | − | 0.746445i | 0.659094 | − | 0.752060i | \(-0.270940\pi\) |
−0.999984 | + | 0.00561551i | \(0.998213\pi\) | |||||||
\(30\) | −2.40974 | − | 0.0191167i | −0.439956 | − | 0.00349021i | ||||
\(31\) | 9.89874 | − | 1.42322i | 1.77787 | − | 0.255619i | 0.826337 | − | 0.563176i | \(-0.190421\pi\) |
0.951530 | + | 0.307557i | \(0.0995115\pi\) | |||||||
\(32\) | 3.87107 | − | 4.12491i | 0.684314 | − | 0.729187i | ||||
\(33\) | −1.12268 | − | 0.972809i | −0.195434 | − | 0.169344i | ||||
\(34\) | 1.44701 | + | 5.07670i | 0.248160 | + | 0.870646i | ||||
\(35\) | −2.84840 | + | 4.43219i | −0.481467 | + | 0.749177i | ||||
\(36\) | −1.66514 | − | 1.10784i | −0.277523 | − | 0.184640i | ||||
\(37\) | −2.43285 | + | 8.28551i | −0.399957 | + | 1.36213i | 0.475875 | + | 0.879513i | \(0.342132\pi\) |
−0.875832 | + | 0.482616i | \(0.839687\pi\) | |||||||
\(38\) | 0.770570 | + | 0.503897i | 0.125003 | + | 0.0817429i | ||||
\(39\) | 3.72803 | − | 3.23036i | 0.596963 | − | 0.517271i | ||||
\(40\) | 4.75290 | + | 0.799233i | 0.751499 | + | 0.126370i | ||||
\(41\) | −6.79478 | + | 1.99513i | −1.06117 | + | 0.311587i | −0.765321 | − | 0.643649i | \(-0.777420\pi\) |
−0.295846 | + | 0.955236i | \(0.595601\pi\) | |||||||
\(42\) | −3.99173 | + | 1.78483i | −0.615937 | + | 0.275405i | ||||
\(43\) | −0.301928 | + | 2.09996i | −0.0460437 | + | 0.320241i | 0.953763 | + | 0.300561i | \(0.0971738\pi\) |
−0.999806 | + | 0.0196799i | \(0.993735\pi\) | |||||||
\(44\) | 1.90975 | + | 2.27595i | 0.287906 | + | 0.343112i | ||||
\(45\) | − | 1.70400i | − | 0.254017i | ||||||
\(46\) | 1.83379 | − | 6.52972i | 0.270378 | − | 0.962754i | ||||
\(47\) | 8.82269i | 1.28692i | 0.765479 | + | 0.643461i | \(0.222502\pi\) | ||||
−0.765479 | + | 0.643461i | \(0.777498\pi\) | |||||||
\(48\) | 2.93837 | + | 2.71403i | 0.424117 | + | 0.391737i | ||||
\(49\) | −0.364290 | + | 2.53369i | −0.0520415 | + | 0.361956i | ||||
\(50\) | −1.21017 | − | 2.70652i | −0.171144 | − | 0.382760i | ||||
\(51\) | −3.58154 | + | 1.05163i | −0.501516 | + | 0.147258i | ||||
\(52\) | −8.38321 | + | 5.20150i | −1.16254 | + | 0.721319i | ||||
\(53\) | 5.83918 | − | 5.05968i | 0.802074 | − | 0.695001i | −0.154018 | − | 0.988068i | \(-0.549221\pi\) |
0.956092 | + | 0.293067i | \(0.0946760\pi\) | |||||||
\(54\) | 0.773995 | − | 1.18361i | 0.105327 | − | 0.161069i | ||||
\(55\) | −0.713155 | + | 2.42878i | −0.0961618 | + | 0.327497i | ||||
\(56\) | 8.44718 | − | 2.26343i | 1.12880 | − | 0.302463i | ||||
\(57\) | −0.351975 | + | 0.547684i | −0.0466203 | + | 0.0725426i | ||||
\(58\) | −6.01014 | + | 1.71307i | −0.789170 | + | 0.224937i | ||||
\(59\) | 5.34692 | + | 4.63313i | 0.696110 | + | 0.603183i | 0.929334 | − | 0.369240i | \(-0.120382\pi\) |
−0.233224 | + | 0.972423i | \(0.574928\pi\) | |||||||
\(60\) | −0.538465 | + | 3.36518i | −0.0695155 | + | 0.434443i | ||||
\(61\) | 10.1046 | − | 1.45283i | 1.29377 | − | 0.186015i | 0.539165 | − | 0.842200i | \(-0.318740\pi\) |
0.754601 | + | 0.656184i | \(0.227831\pi\) | |||||||
\(62\) | 0.112193 | − | 14.1424i | 0.0142486 | − | 1.79609i | ||||
\(63\) | −1.28442 | − | 2.81248i | −0.161821 | − | 0.354339i | ||||
\(64\) | −4.94529 | − | 6.28841i | −0.618161 | − | 0.786052i | ||||
\(65\) | −7.64603 | − | 3.49182i | −0.948373 | − | 0.433107i | ||||
\(66\) | −1.59858 | + | 1.36312i | −0.196771 | + | 0.167789i | ||||
\(67\) | 8.45125 | − | 5.43129i | 1.03248 | − | 0.663537i | 0.0893671 | − | 0.995999i | \(-0.471516\pi\) |
0.943117 | + | 0.332462i | \(0.107879\pi\) | |||||||
\(68\) | 7.40542 | − | 0.945079i | 0.898039 | − | 0.114608i | ||||
\(69\) | 4.62735 | + | 1.26002i | 0.557067 | + | 0.151688i | ||||
\(70\) | 5.59210 | + | 4.92379i | 0.668384 | + | 0.588506i | ||||
\(71\) | −3.55463 | − | 5.53112i | −0.421857 | − | 0.656423i | 0.563658 | − | 0.826008i | \(-0.309393\pi\) |
−0.985515 | + | 0.169585i | \(0.945757\pi\) | |||||||
\(72\) | −1.90257 | + | 2.09290i | −0.224220 | + | 0.246651i | ||||
\(73\) | 2.19938 | − | 4.81597i | 0.257418 | − | 0.563667i | −0.736161 | − | 0.676807i | \(-0.763363\pi\) |
0.993579 | + | 0.113139i | \(0.0360906\pi\) | |||||||
\(74\) | 11.0680 | + | 5.16108i | 1.28663 | + | 0.599963i | ||||
\(75\) | 1.90695 | − | 0.870876i | 0.220196 | − | 0.100560i | ||||
\(76\) | 0.868178 | − | 0.970385i | 0.0995868 | − | 0.111311i | ||||
\(77\) | 0.653660 | + | 4.54631i | 0.0744915 | + | 0.518100i | ||||
\(78\) | −3.72493 | − | 5.89846i | −0.421765 | − | 0.667869i | ||||
\(79\) | −1.11599 | + | 1.28792i | −0.125559 | + | 0.144903i | −0.815048 | − | 0.579393i | \(-0.803290\pi\) |
0.689489 | + | 0.724296i | \(0.257835\pi\) | |||||||
\(80\) | 2.12680 | − | 6.47567i | 0.237784 | − | 0.724002i | ||||
\(81\) | 0.841254 | + | 0.540641i | 0.0934726 | + | 0.0600712i | ||||
\(82\) | 1.34659 | + | 9.92400i | 0.148706 | + | 1.09592i | ||||
\(83\) | −3.94535 | − | 1.15846i | −0.433058 | − | 0.127157i | 0.0579358 | − | 0.998320i | \(-0.481548\pi\) |
−0.490994 | + | 0.871163i | \(0.663366\pi\) | |||||||
\(84\) | 1.64782 | + | 5.96018i | 0.179792 | + | 0.650308i | ||||
\(85\) | 4.16529 | + | 4.80700i | 0.451789 | + | 0.521392i | ||||
\(86\) | 2.87200 | + | 0.868101i | 0.309696 | + | 0.0936097i | ||||
\(87\) | −1.24500 | − | 4.24007i | −0.133478 | − | 0.454583i | ||||
\(88\) | 3.58774 | − | 2.18685i | 0.382454 | − | 0.233119i | ||||
\(89\) | −11.2507 | − | 1.61761i | −1.19257 | − | 0.171466i | −0.482694 | − | 0.875789i | \(-0.660342\pi\) |
−0.709880 | + | 0.704323i | \(0.751251\pi\) | |||||||
\(90\) | −2.38249 | − | 0.361863i | −0.251136 | − | 0.0381438i | ||||
\(91\) | −15.2519 | −1.59884 | ||||||||
\(92\) | −8.74028 | − | 3.95063i | −0.911237 | − | 0.411881i | ||||
\(93\) | 10.0005 | 1.03701 | ||||||||
\(94\) | 12.3357 | + | 1.87360i | 1.27233 | + | 0.193247i | ||||
\(95\) | 1.09807 | + | 0.157878i | 0.112659 | + | 0.0161980i | ||||
\(96\) | 4.41870 | − | 3.53201i | 0.450982 | − | 0.360484i | ||||
\(97\) | 3.21046 | + | 10.9338i | 0.325973 | + | 1.11016i | 0.945618 | + | 0.325279i | \(0.105458\pi\) |
−0.619645 | + | 0.784882i | \(0.712723\pi\) | |||||||
\(98\) | 3.46519 | + | 1.04740i | 0.350038 | + | 0.105804i | ||||
\(99\) | −0.972809 | − | 1.12268i | −0.0977710 | − | 0.112834i | ||||
\(100\) | −4.04120 | + | 1.11727i | −0.404120 | + | 0.111727i | ||||
\(101\) | 2.90471 | + | 0.852899i | 0.289029 | + | 0.0848667i | 0.423033 | − | 0.906114i | \(-0.360965\pi\) |
−0.134004 | + | 0.990981i | \(0.542784\pi\) | |||||||
\(102\) | 0.709791 | + | 5.23095i | 0.0702797 | + | 0.517942i | ||||
\(103\) | −6.52703 | − | 4.19467i | −0.643127 | − | 0.413313i | 0.178022 | − | 0.984027i | \(-0.443030\pi\) |
−0.821149 | + | 0.570714i | \(0.806667\pi\) | |||||||
\(104\) | 5.49235 | + | 12.8258i | 0.538570 | + | 1.25768i | ||||
\(105\) | −3.45017 | + | 3.98171i | −0.336702 | + | 0.388575i | ||||
\(106\) | −5.83432 | − | 9.23870i | −0.566679 | − | 0.897342i | ||||
\(107\) | −0.183412 | − | 1.27566i | −0.0177311 | − | 0.123323i | 0.979033 | − | 0.203700i | \(-0.0652967\pi\) |
−0.996765 | + | 0.0803770i | \(0.974388\pi\) | |||||||
\(108\) | −1.49053 | − | 1.33354i | −0.143426 | − | 0.128320i | ||||
\(109\) | −7.53277 | + | 3.44010i | −0.721508 | + | 0.329502i | −0.742103 | − | 0.670286i | \(-0.766171\pi\) |
0.0205946 | + | 0.999788i | \(0.493444\pi\) | |||||||
\(110\) | 3.24443 | + | 1.51290i | 0.309344 | + | 0.144249i | ||||
\(111\) | −3.58723 | + | 7.85495i | −0.340485 | + | 0.745558i | ||||
\(112\) | −1.37081 | − | 12.2913i | −0.129530 | − | 1.16142i | ||||
\(113\) | 5.95616 | + | 9.26796i | 0.560308 | + | 0.871856i | 0.999650 | − | 0.0264636i | \(-0.00842462\pi\) |
−0.439342 | + | 0.898320i | \(0.644788\pi\) | |||||||
\(114\) | 0.691014 | + | 0.608432i | 0.0647194 | + | 0.0569848i | ||||
\(115\) | −1.32250 | − | 8.06435i | −0.123324 | − | 0.752005i | ||||
\(116\) | 1.11885 | + | 8.76704i | 0.103882 | + | 0.813999i | ||||
\(117\) | 4.14982 | − | 2.66692i | 0.383651 | − | 0.246557i | ||||
\(118\) | 7.61343 | − | 6.49205i | 0.700873 | − | 0.597641i | ||||
\(119\) | 10.4982 | + | 4.79439i | 0.962372 | + | 0.439501i | ||||
\(120\) | 4.59078 | + | 1.46751i | 0.419079 | + | 0.133964i | ||||
\(121\) | −3.65284 | − | 7.99860i | −0.332076 | − | 0.727146i | ||||
\(122\) | 0.114527 | − | 14.4366i | 0.0103688 | − | 1.30703i | ||||
\(123\) | −7.00956 | + | 1.00782i | −0.632030 | + | 0.0908723i | ||||
\(124\) | −19.7498 | − | 3.16018i | −1.77359 | − | 0.283793i | ||||
\(125\) | −9.13870 | − | 7.91873i | −0.817390 | − | 0.708273i | ||||
\(126\) | −4.20510 | + | 1.19858i | −0.374621 | + | 0.106778i | ||||
\(127\) | −5.92271 | + | 9.21592i | −0.525556 | + | 0.817781i | −0.997976 | − | 0.0635928i | \(-0.979744\pi\) |
0.472420 | + | 0.881373i | \(0.343380\pi\) | |||||||
\(128\) | −9.84251 | + | 5.57897i | −0.869963 | + | 0.493116i | ||||
\(129\) | −0.597711 | + | 2.03562i | −0.0526255 | + | 0.179226i | ||||
\(130\) | −6.50592 | + | 9.94898i | −0.570607 | + | 0.872583i | ||||
\(131\) | −1.43251 | + | 1.24127i | −0.125159 | + | 0.108451i | −0.715191 | − | 0.698929i | \(-0.753660\pi\) |
0.590033 | + | 0.807379i | \(0.299115\pi\) | |||||||
\(132\) | 1.56641 | + | 2.52457i | 0.136339 | + | 0.219735i | ||||
\(133\) | 1.93138 | − | 0.567105i | 0.167472 | − | 0.0491743i | ||||
\(134\) | −5.79918 | − | 12.9697i | −0.500973 | − | 1.12042i | ||||
\(135\) | 0.242504 | − | 1.68665i | 0.0208714 | − | 0.145164i | ||||
\(136\) | 0.251239 | − | 10.5548i | 0.0215435 | − | 0.905066i | ||||
\(137\) | 11.2428i | 0.960536i | 0.877122 | + | 0.480268i | \(0.159461\pi\) | ||||
−0.877122 | + | 0.480268i | \(0.840539\pi\) | |||||||
\(138\) | 2.74440 | − | 6.20228i | 0.233619 | − | 0.527973i | ||||
\(139\) | 1.87766i | 0.159261i | 0.996824 | + | 0.0796307i | \(0.0253741\pi\) | ||||
−0.996824 | + | 0.0796307i | \(0.974626\pi\) | |||||||
\(140\) | 8.07189 | − | 6.77313i | 0.682199 | − | 0.572434i | ||||
\(141\) | −1.25560 | + | 8.73289i | −0.105741 | + | 0.735442i | ||||
\(142\) | −8.48835 | + | 3.79541i | −0.712327 | + | 0.318504i | ||||
\(143\) | −7.03108 | + | 2.06451i | −0.587969 | + | 0.172643i | ||||
\(144\) | 2.52222 | + | 3.10458i | 0.210185 | + | 0.258715i | ||||
\(145\) | −5.69085 | + | 4.93115i | −0.472599 | + | 0.409510i | ||||
\(146\) | −6.26653 | − | 4.09786i | −0.518621 | − | 0.339141i | ||||
\(147\) | −0.721165 | + | 2.45606i | −0.0594807 | + | 0.202572i | ||||
\(148\) | 9.56652 | − | 14.3790i | 0.786363 | − | 1.18195i | ||||
\(149\) | −4.63091 | + | 7.20583i | −0.379379 | + | 0.590325i | −0.977463 | − | 0.211109i | \(-0.932293\pi\) |
0.598084 | + | 0.801434i | \(0.295929\pi\) | |||||||
\(150\) | −0.812676 | − | 2.85120i | −0.0663547 | − | 0.232800i | ||||
\(151\) | −12.4373 | − | 10.7770i | −1.01213 | − | 0.877018i | −0.0197001 | − | 0.999806i | \(-0.506271\pi\) |
−0.992433 | + | 0.122788i | \(0.960817\pi\) | |||||||
\(152\) | −1.17240 | − | 1.41994i | −0.0950945 | − | 0.115172i | ||||
\(153\) | −3.69475 | + | 0.531224i | −0.298702 | + | 0.0429469i | ||||
\(154\) | 6.49536 | + | 0.0515283i | 0.523411 | + | 0.00415227i | ||||
\(155\) | −7.07903 | − | 15.5009i | −0.568601 | − | 1.24506i | ||||
\(156\) | −9.03813 | + | 3.95550i | −0.723630 | + | 0.316694i | ||||
\(157\) | −16.1122 | − | 7.35820i | −1.28590 | − | 0.587249i | −0.349086 | − | 0.937091i | \(-0.613508\pi\) |
−0.936809 | + | 0.349842i | \(0.886235\pi\) | |||||||
\(158\) | 1.56375 | + | 1.83386i | 0.124405 | + | 0.145894i | ||||
\(159\) | 6.49982 | − | 4.17718i | 0.515469 | − | 0.331272i | ||||
\(160\) | −8.60249 | − | 4.34884i | −0.680086 | − | 0.343806i | ||||
\(161\) | −8.26146 | − | 12.3135i | −0.651094 | − | 0.970441i | ||||
\(162\) | 0.934562 | − | 1.06141i | 0.0734262 | − | 0.0833923i | ||||
\(163\) | 4.89799 | + | 7.62141i | 0.383640 | + | 0.596955i | 0.978343 | − | 0.206990i | \(-0.0663668\pi\) |
−0.594703 | + | 0.803945i | \(0.702730\pi\) | |||||||
\(164\) | 14.1615 | + | 0.224703i | 1.10583 | + | 0.0175464i | ||||
\(165\) | −1.05155 | + | 2.30257i | −0.0818629 | + | 0.179255i | ||||
\(166\) | −2.45757 | + | 5.27029i | −0.190745 | + | 0.409054i | ||||
\(167\) | −20.7568 | + | 9.47932i | −1.60621 | + | 0.733532i | −0.998176 | − | 0.0603775i | \(-0.980770\pi\) |
−0.608036 | + | 0.793910i | \(0.708042\pi\) | |||||||
\(168\) | 8.68332 | − | 1.03823i | 0.669933 | − | 0.0801011i | ||||
\(169\) | −1.61292 | − | 11.2181i | −0.124071 | − | 0.862930i | ||||
\(170\) | 7.60559 | − | 4.80299i | 0.583322 | − | 0.368373i | ||||
\(171\) | −0.426336 | + | 0.492018i | −0.0326028 | + | 0.0376256i | ||||
\(172\) | 1.82366 | − | 3.83121i | 0.139053 | − | 0.292127i | ||||
\(173\) | 17.6653 | + | 11.3528i | 1.34307 | + | 0.863139i | 0.997173 | − | 0.0751334i | \(-0.0239383\pi\) |
0.345897 | + | 0.938272i | \(0.387575\pi\) | |||||||
\(174\) | −6.19276 | + | 0.840298i | −0.469472 | + | 0.0637028i | ||||
\(175\) | −6.21927 | − | 1.82614i | −0.470133 | − | 0.138043i | ||||
\(176\) | −2.29570 | − | 5.48070i | −0.173045 | − | 0.413123i | ||||
\(177\) | 4.63313 | + | 5.34692i | 0.348248 | + | 0.401899i | ||||
\(178\) | −4.65093 | + | 15.3870i | −0.348602 | + | 1.15330i | ||||
\(179\) | −1.23057 | − | 4.19095i | −0.0919773 | − | 0.313246i | 0.900635 | − | 0.434577i | \(-0.143102\pi\) |
−0.992612 | + | 0.121331i | \(0.961284\pi\) | |||||||
\(180\) | −1.01190 | + | 3.25430i | −0.0754225 | + | 0.242561i | ||||
\(181\) | 20.3437 | + | 2.92498i | 1.51213 | + | 0.217412i | 0.847918 | − | 0.530128i | \(-0.177856\pi\) |
0.664217 | + | 0.747540i | \(0.268765\pi\) | |||||||
\(182\) | −3.23893 | + | 21.3249i | −0.240085 | + | 1.58071i | ||||
\(183\) | 10.2085 | 0.754637 | ||||||||
\(184\) | −7.37978 | + | 11.3815i | −0.544045 | + | 0.839056i | ||||
\(185\) | 14.7145 | 1.08183 | ||||||||
\(186\) | 2.12373 | − | 13.9825i | 0.155720 | − | 1.02525i | ||||
\(187\) | 5.48862 | + | 0.789145i | 0.401368 | + | 0.0577080i | ||||
\(188\) | 5.23926 | − | 16.8496i | 0.382112 | − | 1.22888i | ||||
\(189\) | −0.871084 | − | 2.96664i | −0.0633621 | − | 0.215791i | ||||
\(190\) | 0.453929 | − | 1.50177i | 0.0329315 | − | 0.108950i | ||||
\(191\) | 8.75268 | + | 10.1011i | 0.633322 | + | 0.730892i | 0.978179 | − | 0.207763i | \(-0.0666182\pi\) |
−0.344857 | + | 0.938655i | \(0.612073\pi\) | |||||||
\(192\) | −4.00002 | − | 6.92819i | −0.288676 | − | 0.499999i | ||||
\(193\) | −4.07433 | − | 1.19633i | −0.293276 | − | 0.0861137i | 0.131785 | − | 0.991278i | \(-0.457929\pi\) |
−0.425061 | + | 0.905165i | \(0.639747\pi\) | |||||||
\(194\) | 15.9692 | − | 2.16687i | 1.14652 | − | 0.155572i | ||||
\(195\) | −7.07126 | − | 4.54443i | −0.506384 | − | 0.325433i | ||||
\(196\) | 2.20033 | − | 4.62253i | 0.157166 | − | 0.330181i | ||||
\(197\) | 12.8604 | − | 14.8417i | 0.916268 | − | 1.05743i | −0.0818832 | − | 0.996642i | \(-0.526093\pi\) |
0.998151 | − | 0.0607871i | \(-0.0193611\pi\) | |||||||
\(198\) | −1.77630 | + | 1.12175i | −0.126236 | + | 0.0797190i | ||||
\(199\) | −1.67186 | − | 11.6280i | −0.118515 | − | 0.824289i | −0.959193 | − | 0.282753i | \(-0.908752\pi\) |
0.840678 | − | 0.541535i | \(-0.182157\pi\) | |||||||
\(200\) | 0.703953 | + | 5.88758i | 0.0497770 | + | 0.416315i | ||||
\(201\) | 9.13818 | − | 4.17327i | 0.644557 | − | 0.294359i | ||||
\(202\) | 1.80935 | − | 3.88018i | 0.127306 | − | 0.273008i | ||||
\(203\) | −5.67592 | + | 12.4285i | −0.398372 | + | 0.872312i | ||||
\(204\) | 7.46454 | + | 0.118441i | 0.522622 | + | 0.00829255i | ||||
\(205\) | 6.52395 | + | 10.1515i | 0.455653 | + | 0.709009i | ||||
\(206\) | −7.25098 | + | 8.23516i | −0.505200 | + | 0.573771i | ||||
\(207\) | 4.40093 | + | 1.90573i | 0.305886 | + | 0.132458i | ||||
\(208\) | 19.0991 | − | 4.95558i | 1.32429 | − | 0.343607i | ||||
\(209\) | 0.813597 | − | 0.522867i | 0.0562777 | − | 0.0361674i | ||||
\(210\) | 4.83445 | + | 5.66952i | 0.333609 | + | 0.391234i | ||||
\(211\) | 24.7264 | + | 11.2922i | 1.70223 | + | 0.777385i | 0.997705 | + | 0.0677100i | \(0.0215693\pi\) |
0.704530 | + | 0.709675i | \(0.251158\pi\) | |||||||
\(212\) | −14.1563 | + | 6.19547i | −0.972261 | + | 0.425506i | ||||
\(213\) | −2.73129 | − | 5.98069i | −0.187145 | − | 0.409790i | ||||
\(214\) | −1.82255 | − | 0.0144585i | −0.124587 | − | 0.000988361i | ||||
\(215\) | 3.57832 | − | 0.514485i | 0.244039 | − | 0.0350876i | ||||
\(216\) | −2.18105 | + | 1.80083i | −0.148402 | + | 0.122531i | ||||
\(217\) | −23.3682 | − | 20.2486i | −1.58633 | − | 1.37457i | ||||
\(218\) | 3.21020 | + | 11.2627i | 0.217422 | + | 0.762806i | ||||
\(219\) | 2.86238 | − | 4.45395i | 0.193422 | − | 0.300970i | ||||
\(220\) | 2.80429 | − | 4.21500i | 0.189065 | − | 0.284175i | ||||
\(221\) | −5.18760 | + | 17.6673i | −0.348956 | + | 1.18843i | ||||
\(222\) | 10.2208 | + | 6.68368i | 0.685977 | + | 0.448579i | ||||
\(223\) | −1.63665 | + | 1.41817i | −0.109598 | + | 0.0949675i | −0.707936 | − | 0.706276i | \(-0.750374\pi\) |
0.598338 | + | 0.801244i | \(0.295828\pi\) | |||||||
\(224\) | −17.4766 | − | 0.693566i | −1.16770 | − | 0.0463409i | ||||
\(225\) | 2.01148 | − | 0.590624i | 0.134099 | − | 0.0393750i | ||||
\(226\) | 14.2231 | − | 6.35961i | 0.946108 | − | 0.423035i | ||||
\(227\) | 0.700053 | − | 4.86897i | 0.0464641 | − | 0.323165i | −0.953312 | − | 0.301988i | \(-0.902350\pi\) |
0.999776 | − | 0.0211768i | \(-0.00674129\pi\) | |||||||
\(228\) | 0.997441 | − | 0.836954i | 0.0660571 | − | 0.0554286i | ||||
\(229\) | − | 29.2117i | − | 1.93036i | −0.261581 | − | 0.965181i | \(-0.584244\pi\) | ||
0.261581 | − | 0.965181i | \(-0.415756\pi\) | |||||||
\(230\) | −11.5563 | + | 0.136533i | −0.761997 | + | 0.00900275i | ||||
\(231\) | 4.59306i | 0.302201i | ||||||||
\(232\) | 12.4955 | + | 0.297433i | 0.820368 | + | 0.0195275i | ||||
\(233\) | −1.86651 | + | 12.9818i | −0.122279 | + | 0.850468i | 0.832685 | + | 0.553747i | \(0.186802\pi\) |
−0.954964 | + | 0.296722i | \(0.904107\pi\) | |||||||
\(234\) | −2.84757 | − | 6.36853i | −0.186152 | − | 0.416324i | ||||
\(235\) | 14.4248 | − | 4.23552i | 0.940973 | − | 0.276295i | ||||
\(236\) | −7.46024 | − | 12.0236i | −0.485620 | − | 0.782669i | ||||
\(237\) | −1.28792 | + | 1.11599i | −0.0836595 | + | 0.0724914i | ||||
\(238\) | 8.93283 | − | 13.6603i | 0.579030 | − | 0.885464i | ||||
\(239\) | 4.03773 | − | 13.7512i | 0.261179 | − | 0.889493i | −0.719603 | − | 0.694386i | \(-0.755676\pi\) |
0.980782 | − | 0.195108i | \(-0.0625056\pi\) | |||||||
\(240\) | 3.02674 | − | 6.10708i | 0.195375 | − | 0.394210i | ||||
\(241\) | −10.6068 | + | 16.5044i | −0.683241 | + | 1.06314i | 0.310406 | + | 0.950604i | \(0.399535\pi\) |
−0.993647 | + | 0.112540i | \(0.964101\pi\) | |||||||
\(242\) | −11.9592 | + | 3.40872i | −0.768766 | + | 0.219121i | ||||
\(243\) | 0.755750 | + | 0.654861i | 0.0484814 | + | 0.0420093i | ||||
\(244\) | −20.1606 | − | 3.22591i | −1.29065 | − | 0.206518i | ||||
\(245\) | 4.31740 | − | 0.620749i | 0.275829 | − | 0.0396582i | ||||
\(246\) | −0.0794471 | + | 10.0146i | −0.00506536 | + | 0.638510i | ||||
\(247\) | 1.33410 | + | 2.92127i | 0.0848866 | + | 0.185876i | ||||
\(248\) | −8.61261 | + | 26.9427i | −0.546901 | + | 1.71086i | ||||
\(249\) | −3.74032 | − | 1.70815i | −0.237033 | − | 0.108250i | ||||
\(250\) | −13.0125 | + | 11.0959i | −0.822983 | + | 0.701766i | ||||
\(251\) | 7.45988 | − | 4.79417i | 0.470863 | − | 0.302606i | −0.283606 | − | 0.958941i | \(-0.591531\pi\) |
0.754469 | + | 0.656335i | \(0.227894\pi\) | |||||||
\(252\) | 0.782823 | + | 6.13402i | 0.0493132 | + | 0.386407i | ||||
\(253\) | −5.47526 | − | 4.55820i | −0.344227 | − | 0.286572i | ||||
\(254\) | 11.6277 | + | 10.2381i | 0.729589 | + | 0.642397i | ||||
\(255\) | 3.43878 | + | 5.35085i | 0.215345 | + | 0.335083i | ||||
\(256\) | 5.71023 | + | 14.9463i | 0.356889 | + | 0.934147i | ||||
\(257\) | −4.95836 | + | 10.8573i | −0.309294 | + | 0.677259i | −0.998898 | − | 0.0469271i | \(-0.985057\pi\) |
0.689604 | + | 0.724186i | \(0.257784\pi\) | |||||||
\(258\) | 2.71922 | + | 1.26799i | 0.169291 | + | 0.0789418i | ||||
\(259\) | 24.2866 | − | 11.0913i | 1.50909 | − | 0.689181i | ||||
\(260\) | 12.5288 | + | 11.2092i | 0.777006 | + | 0.695166i | ||||
\(261\) | −0.628899 | − | 4.37409i | −0.0389279 | − | 0.270749i | ||||
\(262\) | 1.43131 | + | 2.26650i | 0.0884267 | + | 0.140025i | ||||
\(263\) | −4.59135 | + | 5.29870i | −0.283115 | + | 0.326732i | −0.879439 | − | 0.476012i | \(-0.842082\pi\) |
0.596324 | + | 0.802744i | \(0.296627\pi\) | |||||||
\(264\) | 3.86244 | − | 1.65400i | 0.237717 | − | 0.101797i | ||||
\(265\) | −11.0757 | − | 7.11789i | −0.680372 | − | 0.437249i | ||||
\(266\) | −0.382762 | − | 2.82085i | −0.0234687 | − | 0.172957i | ||||
\(267\) | −10.9060 | − | 3.20229i | −0.667436 | − | 0.195977i | ||||
\(268\) | −19.3655 | + | 5.35401i | −1.18294 | + | 0.327048i | ||||
\(269\) | 8.00216 | + | 9.23498i | 0.487900 | + | 0.563067i | 0.945303 | − | 0.326193i | \(-0.105766\pi\) |
−0.457403 | + | 0.889259i | \(0.651220\pi\) | |||||||
\(270\) | −2.30674 | − | 0.697244i | −0.140384 | − | 0.0424329i | ||||
\(271\) | 3.35160 | + | 11.4145i | 0.203595 | + | 0.693381i | 0.996466 | + | 0.0839919i | \(0.0267670\pi\) |
−0.792871 | + | 0.609389i | \(0.791415\pi\) | |||||||
\(272\) | −14.7041 | − | 2.59271i | −0.891569 | − | 0.157206i | ||||
\(273\) | −15.0967 | − | 2.17058i | −0.913694 | − | 0.131369i | ||||
\(274\) | 15.7194 | + | 2.38754i | 0.949645 | + | 0.144237i | ||||
\(275\) | −3.11425 | −0.187796 | ||||||||
\(276\) | −8.08909 | − | 5.15429i | −0.486906 | − | 0.310252i | ||||
\(277\) | 12.9604 | 0.778715 | 0.389358 | − | 0.921087i | \(-0.372697\pi\) | ||||
0.389358 | + | 0.921087i | \(0.372697\pi\) | |||||||
\(278\) | 2.62531 | + | 0.398744i | 0.157456 | + | 0.0239151i | ||||
\(279\) | 9.89874 | + | 1.42322i | 0.592622 | + | 0.0852062i | ||||
\(280\) | −7.75588 | − | 12.7243i | −0.463503 | − | 0.760422i | ||||
\(281\) | −7.62549 | − | 25.9700i | −0.454898 | − | 1.54924i | −0.793655 | − | 0.608368i | \(-0.791825\pi\) |
0.338757 | − | 0.940874i | \(-0.389994\pi\) | |||||||
\(282\) | 11.9435 | + | 3.61008i | 0.711225 | + | 0.214977i | ||||
\(283\) | 6.84174 | + | 7.89578i | 0.406699 | + | 0.469356i | 0.921739 | − | 0.387810i | \(-0.126768\pi\) |
−0.515040 | + | 0.857166i | \(0.672223\pi\) | |||||||
\(284\) | 3.50406 | + | 12.6742i | 0.207928 | + | 0.752077i | ||||
\(285\) | 1.06442 | + | 0.312542i | 0.0630509 | + | 0.0185134i | ||||
\(286\) | 1.39342 | + | 10.2691i | 0.0823948 | + | 0.607227i | ||||
\(287\) | 18.4198 | + | 11.8377i | 1.08728 | + | 0.698755i | ||||
\(288\) | 4.87638 | − | 2.86721i | 0.287344 | − | 0.168952i | ||||
\(289\) | −2.00823 | + | 2.31762i | −0.118131 | + | 0.136331i | ||||
\(290\) | 5.68611 | + | 9.00401i | 0.333900 | + | 0.528734i | ||||
\(291\) | 1.62174 | + | 11.2794i | 0.0950679 | + | 0.661212i | ||||
\(292\) | −7.06031 | + | 7.89149i | −0.413173 | + | 0.461815i | ||||
\(293\) | 16.5084 | − | 7.53912i | 0.964429 | − | 0.440440i | 0.129975 | − | 0.991517i | \(-0.458510\pi\) |
0.834454 | + | 0.551077i | \(0.185783\pi\) | |||||||
\(294\) | 3.28086 | + | 1.52989i | 0.191344 | + | 0.0892250i | ||||
\(295\) | 5.00814 | − | 10.9663i | 0.291585 | − | 0.638482i | ||||
\(296\) | −18.0728 | − | 16.4293i | −1.05046 | − | 0.954931i | ||||
\(297\) | −0.803133 | − | 1.24970i | −0.0466025 | − | 0.0725149i | ||||
\(298\) | 9.09161 | + | 8.00508i | 0.526663 | + | 0.463722i | ||||
\(299\) | 17.5696 | − | 15.8423i | 1.01608 | − | 0.916182i | ||||
\(300\) | −4.15907 | + | 0.530780i | −0.240124 | + | 0.0306446i | ||||
\(301\) | 5.51828 | − | 3.54639i | 0.318069 | − | 0.204410i | ||||
\(302\) | −17.7093 | + | 15.1009i | −1.01906 | + | 0.868962i | ||||
\(303\) | 2.75376 | + | 1.25760i | 0.158200 | + | 0.0722473i | ||||
\(304\) | −2.23430 | + | 1.33769i | −0.128146 | + | 0.0767217i | ||||
\(305\) | −7.22627 | − | 15.8233i | −0.413775 | − | 0.906041i | ||||
\(306\) | −0.0418766 | + | 5.27873i | −0.00239393 | + | 0.301765i | ||||
\(307\) | −18.9043 | + | 2.71803i | −1.07893 | + | 0.155126i | −0.658784 | − | 0.752332i | \(-0.728929\pi\) |
−0.420142 | + | 0.907458i | \(0.638020\pi\) | |||||||
\(308\) | 1.45141 | − | 9.07073i | 0.0827019 | − | 0.516853i | ||||
\(309\) | −5.86363 | − | 5.08086i | −0.333570 | − | 0.289040i | ||||
\(310\) | −23.1764 | + | 6.60594i | −1.31633 | + | 0.375192i | ||||
\(311\) | 16.7835 | − | 26.1156i | 0.951705 | − | 1.48088i | 0.0765350 | − | 0.997067i | \(-0.475614\pi\) |
0.875170 | − | 0.483815i | \(-0.160749\pi\) | |||||||
\(312\) | 3.61115 | + | 13.4769i | 0.204441 | + | 0.762980i | ||||
\(313\) | −6.40491 | + | 21.8131i | −0.362027 | + | 1.23295i | 0.554231 | + | 0.832363i | \(0.313012\pi\) |
−0.916258 | + | 0.400588i | \(0.868806\pi\) | |||||||
\(314\) | −13.7097 | + | 20.9652i | −0.773683 | + | 1.18313i | ||||
\(315\) | −3.98171 | + | 3.45017i | −0.224344 | + | 0.194395i | ||||
\(316\) | 2.89614 | − | 1.79696i | 0.162921 | − | 0.101087i | ||||
\(317\) | 23.0959 | − | 6.78157i | 1.29719 | − | 0.380891i | 0.440983 | − | 0.897516i | \(-0.354630\pi\) |
0.856212 | + | 0.516625i | \(0.172812\pi\) | |||||||
\(318\) | −4.46013 | − | 9.97498i | −0.250112 | − | 0.559369i | ||||
\(319\) | −0.934243 | + | 6.49780i | −0.0523076 | + | 0.363807i | ||||
\(320\) | −7.90729 | + | 11.1043i | −0.442031 | + | 0.620748i | ||||
\(321\) | − | 1.28878i | − | 0.0719326i | ||||||
\(322\) | −18.9709 | + | 8.93607i | −1.05721 | + | 0.497988i | ||||
\(323\) | − | 2.43014i | − | 0.135217i | ||||||
\(324\) | −1.28558 | − | 1.53209i | −0.0714209 | − | 0.0851160i | ||||
\(325\) | 1.47172 | − | 10.2361i | 0.0816365 | − | 0.567795i | ||||
\(326\) | 11.6962 | − | 5.22976i | 0.647795 | − | 0.289650i | ||||
\(327\) | −7.94567 | + | 2.33306i | −0.439397 | + | 0.129018i | ||||
\(328\) | 3.32153 | − | 19.7526i | 0.183401 | − | 1.09065i | ||||
\(329\) | 20.6159 | − | 17.8638i | 1.13659 | − | 0.984862i | ||||
\(330\) | 2.99609 | + | 1.95923i | 0.164930 | + | 0.107852i | ||||
\(331\) | −6.53620 | + | 22.2602i | −0.359262 | + | 1.22353i | 0.559536 | + | 0.828806i | \(0.310979\pi\) |
−0.918798 | + | 0.394728i | \(0.870839\pi\) | |||||||
\(332\) | 6.84691 | + | 4.55533i | 0.375773 | + | 0.250006i | ||||
\(333\) | −4.66860 | + | 7.26448i | −0.255837 | + | 0.398091i | ||||
\(334\) | 8.84583 | + | 31.0348i | 0.484022 | + | 1.69815i | ||||
\(335\) | −12.9372 | − | 11.2101i | −0.706834 | − | 0.612475i | ||||
\(336\) | 0.392377 | − | 12.3613i | 0.0214059 | − | 0.674365i | ||||
\(337\) | 10.7753 | − | 1.54926i | 0.586970 | − | 0.0843936i | 0.157570 | − | 0.987508i | \(-0.449634\pi\) |
0.429400 | + | 0.903114i | \(0.358725\pi\) | |||||||
\(338\) | −16.0274 | − | 0.127147i | −0.871776 | − | 0.00691589i | ||||
\(339\) | 4.57656 | + | 10.0213i | 0.248565 | + | 0.544281i | ||||
\(340\) | −5.10030 | − | 11.6539i | −0.276603 | − | 0.632024i | ||||
\(341\) | −13.5135 | − | 6.17141i | −0.731797 | − | 0.334200i | ||||
\(342\) | 0.597392 | + | 0.700580i | 0.0323033 | + | 0.0378830i | ||||
\(343\) | −11.5494 | + | 7.42232i | −0.623606 | + | 0.400768i | ||||
\(344\) | −4.96944 | − | 3.36341i | −0.267934 | − | 0.181343i | ||||
\(345\) | −0.161364 | − | 8.17048i | −0.00868755 | − | 0.439884i | ||||
\(346\) | 19.6247 | − | 22.2884i | 1.05503 | − | 1.19823i | ||||
\(347\) | 8.57382 | + | 13.3411i | 0.460267 | + | 0.716189i | 0.991367 | − | 0.131120i | \(-0.0418573\pi\) |
−0.531099 | + | 0.847309i | \(0.678221\pi\) | |||||||
\(348\) | −0.140219 | + | 8.83703i | −0.00751652 | + | 0.473714i | ||||
\(349\) | −7.78875 | + | 17.0550i | −0.416922 | + | 0.912932i | 0.578348 | + | 0.815790i | \(0.303697\pi\) |
−0.995270 | + | 0.0971424i | \(0.969030\pi\) | |||||||
\(350\) | −3.87401 | + | 8.30784i | −0.207074 | + | 0.444073i | ||||
\(351\) | 4.48712 | − | 2.04920i | 0.239505 | − | 0.109378i | ||||
\(352\) | −8.15052 | + | 2.04591i | −0.434424 | + | 0.109047i | ||||
\(353\) | 1.16892 | + | 8.13001i | 0.0622153 | + | 0.432717i | 0.996994 | + | 0.0774851i | \(0.0246890\pi\) |
−0.934778 | + | 0.355232i | \(0.884402\pi\) | |||||||
\(354\) | 8.45985 | − | 5.34246i | 0.449636 | − | 0.283949i | ||||
\(355\) | −7.33674 | + | 8.46705i | −0.389394 | + | 0.449384i | ||||
\(356\) | 20.5261 | + | 9.77043i | 1.08788 | + | 0.517832i | ||||
\(357\) | 9.70907 | + | 6.23964i | 0.513859 | + | 0.330237i | ||||
\(358\) | −6.12102 | + | 0.830563i | −0.323506 | + | 0.0438966i | ||||
\(359\) | 27.0122 | + | 7.93150i | 1.42565 | + | 0.418609i | 0.901412 | − | 0.432963i | \(-0.142532\pi\) |
0.524238 | + | 0.851572i | \(0.324350\pi\) | |||||||
\(360\) | 4.33520 | + | 2.10590i | 0.228485 | + | 0.110991i | ||||
\(361\) | 12.1648 | + | 14.0389i | 0.640252 | + | 0.738891i | ||||
\(362\) | 8.40987 | − | 27.8230i | 0.442013 | − | 1.46234i | ||||
\(363\) | −2.47734 | − | 8.43704i | −0.130027 | − | 0.442830i | ||||
\(364\) | 29.1282 | + | 9.05720i | 1.52673 | + | 0.474726i | ||||
\(365\) | −8.92984 | − | 1.28392i | −0.467409 | − | 0.0672033i | ||||
\(366\) | 2.16790 | − | 14.2734i | 0.113318 | − | 0.746081i | ||||
\(367\) | −27.7192 | −1.44693 | −0.723465 | − | 0.690361i | \(-0.757452\pi\) | ||||
−0.723465 | + | 0.690361i | \(0.757452\pi\) | |||||||
\(368\) | 14.3462 | + | 12.7353i | 0.747847 | + | 0.663871i | ||||
\(369\) | −7.08164 | −0.368655 | ||||||||
\(370\) | 3.12480 | − | 20.5735i | 0.162451 | − | 1.06957i | ||||
\(371\) | −23.6458 | − | 3.39976i | −1.22763 | − | 0.176506i | ||||
\(372\) | −19.0991 | − | 5.93871i | −0.990241 | − | 0.307908i | ||||
\(373\) | 8.22378 | + | 28.0076i | 0.425811 | + | 1.45018i | 0.841293 | + | 0.540579i | \(0.181795\pi\) |
−0.415482 | + | 0.909601i | \(0.636387\pi\) | |||||||
\(374\) | 2.26894 | − | 7.50649i | 0.117324 | − | 0.388151i | ||||
\(375\) | −7.91873 | − | 9.13870i | −0.408921 | − | 0.471920i | ||||
\(376\) | −22.4461 | − | 10.9036i | −1.15757 | − | 0.562312i | ||||
\(377\) | −20.9158 | − | 6.14143i | −1.07722 | − | 0.316300i | ||||
\(378\) | −4.33288 | + | 0.587930i | −0.222859 | + | 0.0302399i | ||||
\(379\) | 18.5587 | + | 11.9269i | 0.953294 | + | 0.612645i | 0.922135 | − | 0.386869i | \(-0.126444\pi\) |
0.0311599 | + | 0.999514i | \(0.490080\pi\) | |||||||
\(380\) | −2.00334 | − | 0.953592i | −0.102769 | − | 0.0489182i | ||||
\(381\) | −7.17399 | + | 8.27923i | −0.367535 | + | 0.424158i | ||||
\(382\) | 15.9819 | − | 10.0927i | 0.817706 | − | 0.516388i | ||||
\(383\) | −4.48293 | − | 31.1794i | −0.229067 | − | 1.59319i | −0.702053 | − | 0.712125i | \(-0.747733\pi\) |
0.472986 | − | 0.881070i | \(-0.343176\pi\) | |||||||
\(384\) | −10.5363 | + | 4.12145i | −0.537678 | + | 0.210322i | ||||
\(385\) | 7.11928 | − | 3.25127i | 0.362832 | − | 0.165700i | ||||
\(386\) | −2.53791 | + | 5.44258i | −0.129176 | + | 0.277020i | ||||
\(387\) | −0.881325 | + | 1.92983i | −0.0448003 | + | 0.0980989i | ||||
\(388\) | 0.361581 | − | 22.7880i | 0.0183565 | − | 1.15688i | ||||
\(389\) | −3.89140 | − | 6.05514i | −0.197302 | − | 0.307008i | 0.728479 | − | 0.685068i | \(-0.240228\pi\) |
−0.925781 | + | 0.378060i | \(0.876591\pi\) | |||||||
\(390\) | −7.85558 | + | 8.92183i | −0.397783 | + | 0.451774i | ||||
\(391\) | −17.0735 | + | 5.38164i | −0.863445 | + | 0.272161i | ||||
\(392\) | −5.99586 | − | 4.05810i | −0.302837 | − | 0.204965i | ||||
\(393\) | −1.59458 | + | 1.02477i | −0.0804357 | + | 0.0516929i | ||||
\(394\) | −18.0203 | − | 21.1330i | −0.907850 | − | 1.06466i | ||||
\(395\) | 2.64147 | + | 1.20632i | 0.132907 | + | 0.0606965i | ||||
\(396\) | 1.19118 | + | 2.72180i | 0.0598592 | + | 0.136775i | ||||
\(397\) | −9.31182 | − | 20.3900i | −0.467347 | − | 1.02335i | −0.985751 | − | 0.168211i | \(-0.946201\pi\) |
0.518404 | − | 0.855136i | \(-0.326526\pi\) | |||||||
\(398\) | −16.6131 | − | 0.131793i | −0.832739 | − | 0.00660620i | ||||
\(399\) | 1.99243 | − | 0.286469i | 0.0997464 | − | 0.0143414i | ||||
\(400\) | 8.38138 | + | 0.266045i | 0.419069 | + | 0.0133022i | ||||
\(401\) | 20.9129 | + | 18.1211i | 1.04434 | + | 0.904927i | 0.995583 | − | 0.0938836i | \(-0.0299282\pi\) |
0.0487582 | + | 0.998811i | \(0.484474\pi\) | |||||||
\(402\) | −3.89437 | − | 13.6630i | −0.194233 | − | 0.681451i | ||||
\(403\) | 26.6707 | − | 41.5004i | 1.32856 | − | 2.06728i | ||||
\(404\) | −5.04094 | − | 3.35380i | −0.250796 | − | 0.166858i | ||||
\(405\) | 0.480071 | − | 1.63497i | 0.0238549 | − | 0.0812424i | ||||
\(406\) | 16.1720 | + | 10.5753i | 0.802601 | + | 0.524843i | ||||
\(407\) | 9.69469 | − | 8.40050i | 0.480548 | − | 0.416397i | ||||
\(408\) | 1.75079 | − | 10.4116i | 0.0866768 | − | 0.515451i | ||||
\(409\) | −18.6873 | + | 5.48709i | −0.924028 | + | 0.271319i | −0.708934 | − | 0.705274i | \(-0.750824\pi\) |
−0.215093 | + | 0.976593i | \(0.569006\pi\) | |||||||
\(410\) | 15.5790 | − | 6.96587i | 0.769392 | − | 0.344020i | ||||
\(411\) | −1.60002 | + | 11.1284i | −0.0789230 | + | 0.548921i | ||||
\(412\) | 9.97439 | + | 11.8870i | 0.491403 | + | 0.585630i | ||||
\(413\) | − | 21.8751i | − | 1.07640i | ||||||
\(414\) | 3.59914 | − | 5.74858i | 0.176888 | − | 0.282527i | ||||
\(415\) | 7.00667i | 0.343944i | ||||||||
\(416\) | −2.87285 | − | 27.7564i | −0.140853 | − | 1.36087i | ||||
\(417\) | −0.267220 | + | 1.85855i | −0.0130858 | + | 0.0910137i | ||||
\(418\) | −0.558284 | − | 1.24859i | −0.0273066 | − | 0.0610705i | ||||
\(419\) | −4.16851 | + | 1.22399i | −0.203645 | + | 0.0597956i | −0.381964 | − | 0.924177i | \(-0.624752\pi\) |
0.178319 | + | 0.983973i | \(0.442934\pi\) | |||||||
\(420\) | 8.95365 | − | 5.55544i | 0.436893 | − | 0.271078i | ||||
\(421\) | 24.4661 | − | 21.2000i | 1.19241 | − | 1.03323i | 0.193769 | − | 0.981047i | \(-0.437929\pi\) |
0.998638 | − | 0.0521792i | \(-0.0166167\pi\) | |||||||
\(422\) | 21.0394 | − | 32.1739i | 1.02418 | − | 1.56620i | ||||
\(423\) | −2.48564 | + | 8.46531i | −0.120856 | + | 0.411597i | ||||
\(424\) | 5.65610 | + | 21.1088i | 0.274685 | + | 1.02513i | ||||
\(425\) | −4.23069 | + | 6.58308i | −0.205218 | + | 0.319326i | ||||
\(426\) | −8.94210 | + | 2.54876i | −0.433246 | + | 0.123488i | ||||
\(427\) | −23.8542 | − | 20.6698i | −1.15439 | − | 1.00028i | ||||
\(428\) | −0.407256 | + | 2.54518i | −0.0196855 | + | 0.123026i | ||||
\(429\) | −7.25333 | + | 1.04287i | −0.350194 | + | 0.0503503i | ||||
\(430\) | 0.0405570 | − | 5.11239i | 0.00195583 | − | 0.246541i | ||||
\(431\) | −14.0978 | − | 30.8698i | −0.679065 | − | 1.48694i | −0.863631 | − | 0.504125i | \(-0.831815\pi\) |
0.184566 | − | 0.982820i | \(-0.440912\pi\) | |||||||
\(432\) | 2.05471 | + | 3.43193i | 0.0988575 | + | 0.165119i | ||||
\(433\) | −11.1751 | − | 5.10350i | −0.537042 | − | 0.245259i | 0.128382 | − | 0.991725i | \(-0.459022\pi\) |
−0.665423 | + | 0.746466i | \(0.731749\pi\) | |||||||
\(434\) | −33.2737 | + | 28.3728i | −1.59719 | + | 1.36194i | ||||
\(435\) | −6.33470 | + | 4.07107i | −0.303726 | + | 0.195193i | ||||
\(436\) | 16.4290 | − | 2.09667i | 0.786805 | − | 0.100412i | ||||
\(437\) | −1.63582 | + | 2.65942i | −0.0782520 | + | 0.127217i | ||||
\(438\) | −5.61956 | − | 4.94797i | −0.268513 | − | 0.236423i | ||||
\(439\) | 4.86121 | + | 7.56419i | 0.232013 | + | 0.361019i | 0.937666 | − | 0.347539i | \(-0.112982\pi\) |
−0.705653 | + | 0.708558i | \(0.749346\pi\) | |||||||
\(440\) | −5.29780 | − | 4.81601i | −0.252563 | − | 0.229594i | ||||
\(441\) | −1.06336 | + | 2.32843i | −0.0506361 | + | 0.110878i | ||||
\(442\) | 23.6005 | + | 11.0051i | 1.12256 | + | 0.523457i | ||||
\(443\) | −32.2091 | + | 14.7094i | −1.53030 | + | 0.698865i | −0.989798 | − | 0.142476i | \(-0.954494\pi\) |
−0.540504 | + | 0.841342i | \(0.681766\pi\) | |||||||
\(444\) | 11.5155 | − | 12.8712i | 0.546501 | − | 0.610839i | ||||
\(445\) | 2.75640 | + | 19.1712i | 0.130666 | + | 0.908800i | ||||
\(446\) | 1.63529 | + | 2.58950i | 0.0774331 | + | 0.122616i | ||||
\(447\) | −5.60927 | + | 6.47344i | −0.265309 | + | 0.306183i | ||||
\(448\) | −4.68109 | + | 24.2881i | −0.221161 | + | 1.14750i | ||||
\(449\) | 12.8610 | + | 8.26529i | 0.606950 | + | 0.390063i | 0.807712 | − | 0.589577i | \(-0.200705\pi\) |
−0.200762 | + | 0.979640i | \(0.564342\pi\) | |||||||
\(450\) | −0.398636 | − | 2.93784i | −0.0187919 | − | 0.138491i | ||||
\(451\) | 10.0938 | + | 2.96380i | 0.475298 | + | 0.139560i | ||||
\(452\) | −5.87142 | − | 21.2370i | −0.276168 | − | 0.998904i | ||||
\(453\) | −10.7770 | − | 12.4373i | −0.506347 | − | 0.584355i | ||||
\(454\) | −6.65903 | − | 2.01278i | −0.312524 | − | 0.0944646i | ||||
\(455\) | 7.32201 | + | 24.9365i | 0.343261 | + | 1.16904i | ||||
\(456\) | −0.958392 | − | 1.57234i | −0.0448808 | − | 0.0736314i | ||||
\(457\) | 9.09539 | + | 1.30772i | 0.425464 | + | 0.0611725i | 0.351721 | − | 0.936105i | \(-0.385596\pi\) |
0.0737429 | + | 0.997277i | \(0.476506\pi\) | |||||||
\(458\) | −40.8432 | − | 6.20345i | −1.90848 | − | 0.289868i | ||||
\(459\) | −3.73274 | −0.174229 | ||||||||
\(460\) | −2.26321 | + | 16.1867i | −0.105523 | + | 0.754708i | ||||
\(461\) | −14.9859 | −0.697962 | −0.348981 | − | 0.937130i | \(-0.613472\pi\) | ||||
−0.348981 | + | 0.937130i | \(0.613472\pi\) | |||||||
\(462\) | 6.42191 | + | 0.975390i | 0.298774 | + | 0.0453792i | ||||
\(463\) | −13.0147 | − | 1.87123i | −0.604845 | − | 0.0869635i | −0.166913 | − | 0.985972i | \(-0.553380\pi\) |
−0.437932 | + | 0.899008i | \(0.644289\pi\) | |||||||
\(464\) | 3.06943 | − | 17.4077i | 0.142495 | − | 0.808134i | ||||
\(465\) | −4.80097 | − | 16.3506i | −0.222639 | − | 0.758240i | ||||
\(466\) | 17.7545 | + | 5.36656i | 0.822464 | + | 0.248601i | ||||
\(467\) | −20.1760 | − | 23.2843i | −0.933632 | − | 1.07747i | −0.996837 | − | 0.0794680i | \(-0.974678\pi\) |
0.0632057 | − | 0.998001i | \(-0.479868\pi\) | |||||||
\(468\) | −9.50906 | + | 2.62898i | −0.439557 | + | 0.121525i | ||||
\(469\) | −29.8029 | − | 8.75093i | −1.37617 | − | 0.404080i | ||||
\(470\) | −2.85872 | − | 21.0680i | −0.131863 | − | 0.971793i | ||||
\(471\) | −14.9010 | − | 9.57632i | −0.686604 | − | 0.441253i | ||||
\(472\) | −18.3954 | + | 7.87739i | −0.846717 | + | 0.362586i | ||||
\(473\) | 2.06387 | − | 2.38183i | 0.0948967 | − | 0.109517i | ||||
\(474\) | 1.28685 | + | 2.03774i | 0.0591069 | + | 0.0935964i | ||||
\(475\) | 0.194235 | + | 1.35094i | 0.00891212 | + | 0.0619852i | ||||
\(476\) | −17.2025 | − | 15.3906i | −0.788475 | − | 0.705428i | ||||
\(477\) | 7.02813 | − | 3.20964i | 0.321796 | − | 0.146959i | ||||
\(478\) | −18.3692 | − | 8.56570i | −0.840188 | − | 0.391786i | ||||
\(479\) | 8.86453 | − | 19.4106i | 0.405031 | − | 0.886894i | −0.591704 | − | 0.806155i | \(-0.701545\pi\) |
0.996735 | − | 0.0807388i | \(-0.0257280\pi\) | |||||||
\(480\) | −7.89602 | − | 5.52883i | −0.360403 | − | 0.252356i | ||||
\(481\) | 23.0297 | + | 35.8349i | 1.05006 | + | 1.63393i | ||||
\(482\) | 20.8237 | + | 18.3351i | 0.948493 | + | 0.835139i | ||||
\(483\) | −6.42497 | − | 13.3639i | −0.292346 | − | 0.608079i | ||||
\(484\) | 2.22633 | + | 17.4450i | 0.101197 | + | 0.792953i | ||||
\(485\) | 16.3352 | − | 10.4980i | 0.741745 | − | 0.476691i | ||||
\(486\) | 1.07610 | − | 0.917605i | 0.0488131 | − | 0.0416234i | ||||
\(487\) | −1.88884 | − | 0.862603i | −0.0855914 | − | 0.0390883i | 0.372159 | − | 0.928169i | \(-0.378618\pi\) |
−0.457751 | + | 0.889081i | \(0.651345\pi\) | |||||||
\(488\) | −8.79175 | + | 27.5031i | −0.397984 | + | 1.24501i | ||||
\(489\) | 3.76349 | + | 8.24089i | 0.170191 | + | 0.372666i | ||||
\(490\) | 0.0489339 | − | 6.16832i | 0.00221061 | − | 0.278656i | ||||
\(491\) | 16.7989 | − | 2.41532i | 0.758126 | − | 0.109002i | 0.247597 | − | 0.968863i | \(-0.420359\pi\) |
0.510528 | + | 0.859861i | \(0.329450\pi\) | |||||||
\(492\) | 13.9854 | + | 2.23781i | 0.630509 | + | 0.100888i | ||||
\(493\) | 12.4663 | + | 10.8021i | 0.561453 | + | 0.486501i | ||||
\(494\) | 4.36776 | − | 1.24494i | 0.196515 | − | 0.0560125i | ||||
\(495\) | −1.36853 | + | 2.12948i | −0.0615111 | + | 0.0957131i | ||||
\(496\) | 35.8417 | + | 17.7636i | 1.60934 | + | 0.797607i | ||||
\(497\) | −5.72725 | + | 19.5052i | −0.256902 | + | 0.874929i | ||||
\(498\) | −3.18260 | + | 4.86690i | −0.142616 | + | 0.218091i | ||||
\(499\) | −6.42769 | + | 5.56963i | −0.287743 | + | 0.249331i | −0.786756 | − | 0.617263i | \(-0.788241\pi\) |
0.499014 | + | 0.866594i | \(0.333696\pi\) | |||||||
\(500\) | 12.7507 | + | 20.5501i | 0.570228 | + | 0.919030i | ||||
\(501\) | −21.8946 | + | 6.42883i | −0.978179 | + | 0.287219i | ||||
\(502\) | −5.11892 | − | 11.4483i | −0.228468 | − | 0.510964i | ||||
\(503\) | −3.00573 | + | 20.9053i | −0.134019 | + | 0.932122i | 0.806222 | + | 0.591613i | \(0.201508\pi\) |
−0.940241 | + | 0.340509i | \(0.889401\pi\) | |||||||
\(504\) | 8.74269 | + | 0.208105i | 0.389431 | + | 0.00926973i | ||||
\(505\) | − | 5.15857i | − | 0.229553i | ||||||
\(506\) | −7.53592 | + | 6.68741i | −0.335012 | + | 0.297292i | ||||
\(507\) | − | 11.3334i | − | 0.503336i | ||||||
\(508\) | 16.7840 | − | 14.0835i | 0.744670 | − | 0.624853i | ||||
\(509\) | −1.78116 | + | 12.3882i | −0.0789485 | + | 0.549099i | 0.911509 | + | 0.411280i | \(0.134918\pi\) |
−0.990457 | + | 0.137819i | \(0.955991\pi\) | |||||||
\(510\) | 8.21171 | − | 3.67172i | 0.363621 | − | 0.162586i | ||||
\(511\) | −15.7066 | + | 4.61189i | −0.694821 | + | 0.204018i | ||||
\(512\) | 22.1103 | − | 4.80988i | 0.977146 | − | 0.212569i | ||||
\(513\) | −0.492018 | + | 0.426336i | −0.0217231 | + | 0.0188232i | ||||
\(514\) | 14.1275 | + | 9.23834i | 0.623136 | + | 0.407486i | ||||
\(515\) | −3.72472 | + | 12.6852i | −0.164131 | + | 0.558979i | ||||
\(516\) | 2.35034 | − | 3.53268i | 0.103468 | − | 0.155518i | ||||
\(517\) | 7.08579 | − | 11.0257i | 0.311633 | − | 0.484910i | ||||
\(518\) | −10.3501 | − | 36.3123i | −0.454757 | − | 1.59547i | ||||
\(519\) | 15.8699 | + | 13.7513i | 0.696609 | + | 0.603615i | ||||
\(520\) | 18.3331 | − | 15.1371i | 0.803961 | − | 0.663808i | ||||
\(521\) | 6.81822 | − | 0.980312i | 0.298712 | − | 0.0429482i | 0.00867041 | − | 0.999962i | \(-0.497240\pi\) |
0.290041 | + | 0.957014i | \(0.406331\pi\) | |||||||
\(522\) | −6.24931 | − | 0.0495764i | −0.273525 | − | 0.00216990i | ||||
\(523\) | 10.3170 | + | 22.5911i | 0.451131 | + | 0.987839i | 0.989420 | + | 0.145079i | \(0.0463435\pi\) |
−0.538289 | + | 0.842760i | \(0.680929\pi\) | |||||||
\(524\) | 3.47292 | − | 1.51991i | 0.151715 | − | 0.0663976i | ||||
\(525\) | −5.89608 | − | 2.69265i | −0.257326 | − | 0.117517i | ||||
\(526\) | 6.43350 | + | 7.54476i | 0.280514 | + | 0.328967i | ||||
\(527\) | −31.4035 | + | 20.1818i | −1.36796 | + | 0.879133i | ||||
\(528\) | −1.49235 | − | 5.75163i | −0.0649462 | − | 0.250308i | ||||
\(529\) | 22.3070 | + | 5.60345i | 0.969869 | + | 0.243628i | ||||
\(530\) | −12.3041 | + | 13.9742i | −0.534457 | + | 0.606999i | ||||
\(531\) | 3.82503 | + | 5.95186i | 0.165992 | + | 0.258289i | ||||
\(532\) | −4.02534 | − | 0.0638708i | −0.174520 | − | 0.00276915i | ||||
\(533\) | −14.5117 | + | 31.7761i | −0.628571 | + | 1.37638i | ||||
\(534\) | −6.79338 | + | 14.5685i | −0.293979 | + | 0.630440i | ||||
\(535\) | −1.99762 | + | 0.912282i | −0.0863646 | + | 0.0394414i | ||||
\(536\) | 3.37337 | + | 28.2135i | 0.145707 | + | 1.21864i | ||||
\(537\) | −0.621614 | − | 4.32342i | −0.0268246 | − | 0.186569i | ||||
\(538\) | 14.6115 | − | 9.22728i | 0.629946 | − | 0.397816i | ||||
\(539\) | 2.49015 | − | 2.87378i | 0.107258 | − | 0.123783i | ||||
\(540\) | −1.46473 | + | 3.07717i | −0.0630321 | + | 0.132420i | ||||
\(541\) | −6.34785 | − | 4.07952i | −0.272916 | − | 0.175392i | 0.397023 | − | 0.917809i | \(-0.370043\pi\) |
−0.669939 | + | 0.742416i | \(0.733680\pi\) | |||||||
\(542\) | 16.6712 | − | 2.26213i | 0.716091 | − | 0.0971667i | ||||
\(543\) | 19.7204 | + | 5.79042i | 0.846282 | + | 0.248491i | ||||
\(544\) | −6.74767 | + | 20.0084i | −0.289304 | + | 0.857853i | ||||
\(545\) | 9.24073 | + | 10.6644i | 0.395829 | + | 0.456811i | ||||
\(546\) | −6.24082 | + | 20.6469i | −0.267082 | + | 0.883607i | ||||
\(547\) | −5.77083 | − | 19.6536i | −0.246743 | − | 0.840329i | −0.985977 | − | 0.166881i | \(-0.946631\pi\) |
0.739234 | − | 0.673448i | \(-0.235188\pi\) | |||||||
\(548\) | 6.67641 | − | 21.4715i | 0.285202 | − | 0.917219i | ||||
\(549\) | 10.1046 | + | 1.45283i | 0.431255 | + | 0.0620052i | ||||
\(550\) | −0.661347 | + | 4.35427i | −0.0281999 | + | 0.185667i | ||||
\(551\) | 2.87696 | 0.122563 | ||||||||
\(552\) | −8.92443 | + | 10.2154i | −0.379849 | + | 0.434797i | ||||
\(553\) | 5.26908 | 0.224064 | ||||||||
\(554\) | 2.75229 | − | 18.1210i | 0.116934 | − | 0.769886i | ||||
\(555\) | 14.5647 | + | 2.09409i | 0.618239 | + | 0.0888893i | ||||
\(556\) | 1.11503 | − | 3.58597i | 0.0472878 | − | 0.152079i | ||||
\(557\) | 7.83582 | + | 26.6864i | 0.332014 | + | 1.13074i | 0.941239 | + | 0.337740i | \(0.109662\pi\) |
−0.609225 | + | 0.792997i | \(0.708519\pi\) | |||||||
\(558\) | 4.09204 | − | 13.5380i | 0.173230 | − | 0.573108i | ||||
\(559\) | 6.85338 | + | 7.90922i | 0.289867 | + | 0.334524i | ||||
\(560\) | −19.4379 | + | 8.14195i | −0.821401 | + | 0.344060i | ||||
\(561\) | 5.32045 | + | 1.56222i | 0.224629 | + | 0.0659572i | ||||
\(562\) | −37.9301 | + | 5.14675i | −1.59998 | + | 0.217103i | ||||
\(563\) | −10.0862 | − | 6.48199i | −0.425081 | − | 0.273183i | 0.310561 | − | 0.950554i | \(-0.399483\pi\) |
−0.735642 | + | 0.677370i | \(0.763120\pi\) | |||||||
\(564\) | 7.58388 | − | 15.9325i | 0.319339 | − | 0.670879i | ||||
\(565\) | 12.2935 | − | 14.1874i | 0.517190 | − | 0.596869i | ||||
\(566\) | 12.4926 | − | 7.88920i | 0.525105 | − | 0.331608i | ||||
\(567\) | −0.440021 | − | 3.06041i | −0.0184791 | − | 0.128525i | ||||
\(568\) | 18.4650 | − | 2.20778i | 0.774773 | − | 0.0926363i | ||||
\(569\) | 34.0660 | − | 15.5574i | 1.42812 | − | 0.652202i | 0.456714 | − | 0.889614i | \(-0.349026\pi\) |
0.971409 | + | 0.237412i | \(0.0762991\pi\) | |||||||
\(570\) | 0.663032 | − | 1.42188i | 0.0277714 | − | 0.0595560i | ||||
\(571\) | −5.03036 | + | 11.0150i | −0.210514 | + | 0.460962i | −0.985205 | − | 0.171378i | \(-0.945178\pi\) |
0.774691 | + | 0.632340i | \(0.217905\pi\) | |||||||
\(572\) | 14.6540 | + | 0.232518i | 0.612714 | + | 0.00972205i | ||||
\(573\) | 7.22605 | + | 11.2440i | 0.301873 | + | 0.469723i | ||||
\(574\) | 20.4628 | − | 23.2402i | 0.854101 | − | 0.970029i | ||||
\(575\) | 9.06117 | − | 4.35635i | 0.377877 | − | 0.181672i | ||||
\(576\) | −2.97332 | − | 7.42694i | −0.123888 | − | 0.309456i | ||||
\(577\) | −39.1305 | + | 25.1477i | −1.62903 | + | 1.04691i | −0.679285 | + | 0.733875i | \(0.737710\pi\) |
−0.949741 | + | 0.313036i | \(0.898654\pi\) | |||||||
\(578\) | 2.81398 | + | 3.30004i | 0.117046 | + | 0.137264i | ||||
\(579\) | −3.86260 | − | 1.76399i | −0.160524 | − | 0.0733089i | ||||
\(580\) | 13.7967 | − | 6.03808i | 0.572878 | − | 0.250718i | ||||
\(581\) | 5.28140 | + | 11.5647i | 0.219109 | + | 0.479783i | ||||
\(582\) | 16.1150 | + | 0.127842i | 0.667990 | + | 0.00529923i | ||||
\(583\) | −11.3608 | + | 1.63344i | −0.470517 | + | 0.0676502i | ||||
\(584\) | 9.53437 | + | 11.5474i | 0.394535 | + | 0.477836i | ||||
\(585\) | −6.35255 | − | 5.50452i | −0.262646 | − | 0.227584i | ||||
\(586\) | −7.03529 | − | 24.6827i | −0.290625 | − | 1.01963i | ||||
\(587\) | −16.8969 | + | 26.2921i | −0.697411 | + | 1.08519i | 0.294176 | + | 0.955751i | \(0.404955\pi\) |
−0.991587 | + | 0.129441i | \(0.958682\pi\) | |||||||
\(588\) | 2.83579 | − | 4.26234i | 0.116946 | − | 0.175776i | ||||
\(589\) | −1.83427 | + | 6.24696i | −0.0755799 | + | 0.257401i | ||||
\(590\) | −14.2693 | − | 9.33109i | −0.587458 | − | 0.384155i | ||||
\(591\) | 14.8417 | − | 12.8604i | 0.610507 | − | 0.529007i | ||||
\(592\) | −26.8090 | + | 21.7801i | −1.10184 | + | 0.895156i | ||||
\(593\) | −24.6705 | + | 7.24392i | −1.01310 | + | 0.297472i | −0.745820 | − | 0.666148i | \(-0.767942\pi\) |
−0.267277 | + | 0.963620i | \(0.586124\pi\) | |||||||
\(594\) | −1.91786 | + | 0.857535i | −0.0786906 | + | 0.0351851i | ||||
\(595\) | 2.79878 | − | 19.4660i | 0.114739 | − | 0.798027i | ||||
\(596\) | 13.1232 | − | 11.0117i | 0.537549 | − | 0.451058i | ||||
\(597\) | − | 11.7476i | − | 0.480797i | ||||||
\(598\) | −18.4192 | − | 27.9298i | −0.753217 | − | 1.14213i | ||||
\(599\) | − | 17.6317i | − | 0.720411i | −0.932873 | − | 0.360205i | \(-0.882707\pi\) | ||
0.932873 | − | 0.360205i | \(-0.117293\pi\) | |||||||
\(600\) | −0.141102 | + | 5.92784i | −0.00576047 | + | 0.242003i | ||||
\(601\) | 3.99166 | − | 27.7626i | 0.162823 | − | 1.13246i | −0.730457 | − | 0.682959i | \(-0.760693\pi\) |
0.893280 | − | 0.449500i | \(-0.148398\pi\) | |||||||
\(602\) | −3.78661 | − | 8.46866i | −0.154331 | − | 0.345157i | ||||
\(603\) | 9.63908 | − | 2.83029i | 0.392534 | − | 0.115258i | ||||
\(604\) | 17.3530 | + | 27.9677i | 0.706084 | + | 1.13799i | ||||
\(605\) | −11.3239 | + | 9.81218i | −0.460381 | + | 0.398922i | ||||
\(606\) | 2.34314 | − | 3.58318i | 0.0951837 | − | 0.145557i | ||||
\(607\) | −1.33336 | + | 4.54101i | −0.0541194 | + | 0.184314i | −0.982117 | − | 0.188273i | \(-0.939711\pi\) |
0.927997 | + | 0.372587i | \(0.121529\pi\) | |||||||
\(608\) | 1.39585 | + | 3.40803i | 0.0566091 | + | 0.138214i | ||||
\(609\) | −7.38691 | + | 11.4943i | −0.299333 | + | 0.465771i | ||||
\(610\) | −23.6584 | + | 6.74335i | −0.957901 | + | 0.273030i | ||||
\(611\) | 32.8913 | + | 28.5005i | 1.33064 | + | 1.15300i | ||||
\(612\) | 7.37171 | + | 1.17955i | 0.297984 | + | 0.0476805i | ||||
\(613\) | −18.8357 | + | 2.70816i | −0.760766 | + | 0.109382i | −0.511770 | − | 0.859123i | \(-0.671010\pi\) |
−0.248996 | + | 0.968504i | \(0.580101\pi\) | |||||||
\(614\) | −0.214264 | + | 27.0088i | −0.00864697 | + | 1.08999i | ||||
\(615\) | 5.01284 | + | 10.9766i | 0.202137 | + | 0.442619i | ||||
\(616\) | −12.3743 | − | 3.95561i | −0.498574 | − | 0.159376i | ||||
\(617\) | −9.98432 | − | 4.55969i | −0.401954 | − | 0.183566i | 0.204172 | − | 0.978935i | \(-0.434550\pi\) |
−0.606126 | + | 0.795369i | \(0.707277\pi\) | |||||||
\(618\) | −8.34916 | + | 7.11942i | −0.335853 | + | 0.286385i | ||||
\(619\) | 28.6103 | − | 18.3867i | 1.14994 | − | 0.739024i | 0.180316 | − | 0.983609i | \(-0.442288\pi\) |
0.969628 | + | 0.244585i | \(0.0786516\pi\) | |||||||
\(620\) | 4.31452 | + | 33.8075i | 0.173275 | + | 1.35774i | ||||
\(621\) | 4.08492 | + | 2.51265i | 0.163922 | + | 0.100829i | ||||
\(622\) | −32.9501 | − | 29.0123i | −1.32118 | − | 1.16329i | ||||
\(623\) | 19.0001 | + | 29.5647i | 0.761222 | + | 1.18448i | ||||
\(624\) | 19.6100 | − | 2.18704i | 0.785028 | − | 0.0875518i | ||||
\(625\) | −4.20529 | + | 9.20830i | −0.168212 | + | 0.368332i | ||||
\(626\) | 29.1385 | + | 13.5875i | 1.16461 | + | 0.543065i | ||||
\(627\) | 0.879727 | − | 0.401758i | 0.0351329 | − | 0.0160447i | ||||
\(628\) | 26.4016 | + | 23.6208i | 1.05354 | + | 0.942573i | ||||
\(629\) | −4.58728 | − | 31.9052i | −0.182907 | − | 1.27215i | ||||
\(630\) | 3.97839 | + | 6.29982i | 0.158503 | + | 0.250991i | ||||
\(631\) | −27.0350 | + | 31.2001i | −1.07625 | + | 1.24206i | −0.107449 | + | 0.994211i | \(0.534268\pi\) |
−0.968799 | + | 0.247846i | \(0.920277\pi\) | |||||||
\(632\) | −1.89744 | − | 4.43093i | −0.0754762 | − | 0.176253i | ||||
\(633\) | 22.8677 | + | 14.6962i | 0.908908 | + | 0.584120i | ||||
\(634\) | −4.57715 | − | 33.7323i | −0.181782 | − | 1.33968i | ||||
\(635\) | 17.9111 | + | 5.25917i | 0.710780 | + | 0.208704i | ||||
\(636\) | −14.8940 | + | 4.11775i | −0.590584 | + | 0.163279i | ||||
\(637\) | 8.26891 | + | 9.54283i | 0.327626 | + | 0.378101i | ||||
\(638\) | 8.88669 | + | 2.68612i | 0.351827 | + | 0.106345i | ||||
\(639\) | −1.85235 | − | 6.30852i | −0.0732778 | − | 0.249561i | ||||
\(640\) | 13.8466 | + | 13.4139i | 0.547334 | + | 0.530232i | ||||
\(641\) | −10.2869 | − | 1.47903i | −0.406307 | − | 0.0584181i | −0.0638683 | − | 0.997958i | \(-0.520344\pi\) |
−0.342439 | + | 0.939540i | \(0.611253\pi\) | |||||||
\(642\) | −1.80194 | − | 0.273687i | −0.0711170 | − | 0.0108016i | ||||
\(643\) | 13.6063 | 0.536582 | 0.268291 | − | 0.963338i | \(-0.413541\pi\) | ||||
0.268291 | + | 0.963338i | \(0.413541\pi\) | |||||||
\(644\) | 8.46553 | + | 28.4224i | 0.333588 | + | 1.12000i | ||||
\(645\) | 3.61512 | 0.142345 | ||||||||
\(646\) | −3.39777 | − | 0.516069i | −0.133683 | − | 0.0203045i | ||||
\(647\) | −9.58748 | − | 1.37847i | −0.376923 | − | 0.0541933i | −0.0487499 | − | 0.998811i | \(-0.515524\pi\) |
−0.328173 | + | 0.944618i | \(0.606433\pi\) | |||||||
\(648\) | −2.41514 | + | 1.47211i | −0.0948756 | + | 0.0578299i | ||||
\(649\) | −2.96102 | − | 10.0843i | −0.116230 | − | 0.395844i | ||||
\(650\) | −13.9993 | − | 4.23148i | −0.549098 | − | 0.165972i | ||||
\(651\) | −20.2486 | − | 23.3682i | −0.793606 | − | 0.915870i | ||||
\(652\) | −4.82830 | − | 17.4640i | −0.189091 | − | 0.683944i | ||||
\(653\) | 6.15474 | + | 1.80719i | 0.240854 | + | 0.0707210i | 0.399931 | − | 0.916545i | \(-0.369034\pi\) |
−0.159078 | + | 0.987266i | \(0.550852\pi\) | |||||||
\(654\) | 1.57468 | + | 11.6049i | 0.0615747 | + | 0.453788i | ||||
\(655\) | 2.71715 | + | 1.74621i | 0.106168 | + | 0.0682299i | ||||
\(656\) | −26.9122 | − | 8.83879i | −1.05075 | − | 0.345097i | ||||
\(657\) | 3.46711 | − | 4.00126i | 0.135265 | − | 0.156104i | ||||
\(658\) | −20.5987 | − | 32.6183i | −0.803021 | − | 1.27159i | ||||
\(659\) | −4.84044 | − | 33.6660i | −0.188557 | − | 1.31144i | −0.835748 | − | 0.549113i | \(-0.814965\pi\) |
0.647191 | − | 0.762328i | \(-0.275944\pi\) | |||||||
\(660\) | 3.37561 | − | 3.77301i | 0.131395 | − | 0.146864i | ||||
\(661\) | −20.7147 | + | 9.46009i | −0.805709 | + | 0.367955i | −0.775308 | − | 0.631583i | \(-0.782406\pi\) |
−0.0304005 | + | 0.999538i | \(0.509678\pi\) | |||||||
\(662\) | 29.7358 | + | 13.8660i | 1.15571 | + | 0.538917i | ||||
\(663\) | −7.64912 | + | 16.7492i | −0.297067 | + | 0.650487i | ||||
\(664\) | 7.82319 | − | 8.60582i | 0.303599 | − | 0.333971i | ||||
\(665\) | −1.85440 | − | 2.88551i | −0.0719106 | − | 0.111895i | ||||
\(666\) | 9.16560 | + | 8.07023i | 0.355160 | + | 0.312715i | ||||
\(667\) | −6.37115 | − | 20.2128i | −0.246692 | − | 0.782642i | ||||
\(668\) | 45.2707 | − | 5.77744i | 1.75158 | − | 0.223536i | ||||
\(669\) | −1.82182 | + | 1.17081i | −0.0704356 | + | 0.0452662i | ||||
\(670\) | −18.4211 | + | 15.7079i | −0.711671 | + | 0.606849i | ||||
\(671\) | −13.7946 | − | 6.29977i | −0.532533 | − | 0.243200i | ||||
\(672\) | −17.2000 | − | 3.17368i | −0.663504 | − | 0.122428i | ||||
\(673\) | −9.01464 | − | 19.7393i | −0.347489 | − | 0.760895i | −0.999995 | − | 0.00311134i | \(-0.999010\pi\) |
0.652506 | − | 0.757783i | \(-0.273718\pi\) | |||||||
\(674\) | 0.122129 | − | 15.3948i | 0.00470423 | − | 0.592987i | ||||
\(675\) | 2.07506 | − | 0.298349i | 0.0798692 | − | 0.0114835i | ||||
\(676\) | −3.58138 | + | 22.3822i | −0.137746 | + | 0.860853i | ||||
\(677\) | −26.5192 | − | 22.9791i | −1.01922 | − | 0.883157i | −0.0260272 | − | 0.999661i | \(-0.508286\pi\) |
−0.993190 | + | 0.116504i | \(0.962831\pi\) | |||||||
\(678\) | 14.9834 | − | 4.27072i | 0.575435 | − | 0.164016i | ||||
\(679\) | 19.0486 | − | 29.6401i | 0.731017 | − | 1.13748i | ||||
\(680\) | −17.3774 | + | 4.65628i | −0.666393 | + | 0.178560i | ||||
\(681\) | 1.38585 | − | 4.71979i | 0.0531061 | − | 0.180863i | ||||
\(682\) | −11.4985 | + | 17.5837i | −0.440299 | + | 0.673315i | ||||
\(683\) | −18.0024 | + | 15.5992i | −0.688843 | + | 0.596886i | −0.927323 | − | 0.374261i | \(-0.877896\pi\) |
0.238480 | + | 0.971147i | \(0.423351\pi\) | |||||||
\(684\) | 1.10640 | − | 0.686484i | 0.0423042 | − | 0.0262484i | ||||
\(685\) | 18.3816 | − | 5.39734i | 0.702326 | − | 0.206222i | ||||
\(686\) | 7.92508 | + | 17.7243i | 0.302581 | + | 0.676716i | ||||
\(687\) | 4.15726 | − | 28.9144i | 0.158609 | − | 1.10315i | ||||
\(688\) | −5.75797 | + | 6.23391i | −0.219520 | + | 0.237666i | ||||
\(689\) | − | 38.1133i | − | 1.45200i | ||||||
\(690\) | −11.4581 | − | 1.50948i | −0.436201 | − | 0.0574650i | ||||
\(691\) | − | 21.3535i | − | 0.812326i | −0.913801 | − | 0.406163i | \(-0.866866\pi\) | ||
0.913801 | − | 0.406163i | \(-0.133134\pi\) | |||||||
\(692\) | −26.9956 | − | 32.1720i | −1.02622 | − | 1.22300i | ||||
\(693\) | −0.653660 | + | 4.54631i | −0.0248305 | + | 0.172700i | ||||
\(694\) | 20.4740 | − | 9.15459i | 0.777184 | − | 0.347503i | ||||
\(695\) | 3.06993 | − | 0.901412i | 0.116449 | − | 0.0341925i | ||||
\(696\) | 12.3260 | + | 2.07270i | 0.467214 | + | 0.0785654i | ||||
\(697\) | 19.9774 | − | 17.3105i | 0.756699 | − | 0.655683i | ||||
\(698\) | 22.1919 | + | 14.5119i | 0.839975 | + | 0.549283i | ||||
\(699\) | −3.69502 | + | 12.5841i | −0.139758 | + | 0.475973i | ||||
\(700\) | 10.7932 | + | 7.18082i | 0.407943 | + | 0.271410i | ||||
\(701\) | −10.4427 | + | 16.2492i | −0.394416 | + | 0.613723i | −0.980498 | − | 0.196529i | \(-0.937033\pi\) |
0.586082 | + | 0.810251i | \(0.300670\pi\) | |||||||
\(702\) | −1.91225 | − | 6.70896i | −0.0721733 | − | 0.253214i | ||||
\(703\) | −4.24873 | − | 3.68154i | −0.160244 | − | 0.138852i | ||||
\(704\) | 1.12969 | + | 11.8303i | 0.0425768 | + | 0.445873i | ||||
\(705\) | 14.8808 | − | 2.13954i | 0.560443 | − | 0.0805796i | ||||
\(706\) | 11.6154 | + | 0.0921464i | 0.437153 | + | 0.00346798i | ||||
\(707\) | −3.88836 | − | 8.51432i | −0.146237 | − | 0.320214i | ||||
\(708\) | −5.67317 | − | 12.9629i | −0.213211 | − | 0.487176i | ||||
\(709\) | −4.81931 | − | 2.20090i | −0.180993 | − | 0.0826567i | 0.322858 | − | 0.946448i | \(-0.395356\pi\) |
−0.503851 | + | 0.863791i | \(0.668084\pi\) | |||||||
\(710\) | 10.2804 | + | 12.0561i | 0.385817 | + | 0.452459i | ||||
\(711\) | −1.43364 | + | 0.921341i | −0.0537655 | + | 0.0345530i | ||||
\(712\) | 18.0198 | − | 26.6242i | 0.675319 | − | 0.997786i | ||||
\(713\) | 47.9515 | − | 0.947025i | 1.79580 | − | 0.0354664i | ||||
\(714\) | 10.7860 | − | 12.2500i | 0.403655 | − | 0.458443i | ||||
\(715\) | 6.75084 | + | 10.5045i | 0.252467 | + | 0.392846i | ||||
\(716\) | −0.138594 | + | 8.73465i | −0.00517952 | + | 0.326429i | ||||
\(717\) | 5.95363 | − | 13.0366i | 0.222343 | − | 0.486862i | ||||
\(718\) | 16.8260 | − | 36.0835i | 0.627941 | − | 1.34663i | ||||
\(719\) | −23.4857 | + | 10.7256i | −0.875869 | + | 0.399996i | −0.802037 | − | 0.597275i | \(-0.796250\pi\) |
−0.0738323 | + | 0.997271i | \(0.523523\pi\) | |||||||
\(720\) | 3.86506 | − | 5.61417i | 0.144042 | − | 0.209228i | ||||
\(721\) | 3.41399 | + | 23.7448i | 0.127144 | + | 0.884303i | ||||
\(722\) | 22.2123 | − | 14.0272i | 0.826654 | − | 0.522039i | ||||
\(723\) | −12.8476 | + | 14.8269i | −0.477808 | + | 0.551420i | ||||
\(724\) | −37.1155 | − | 17.6670i | −1.37939 | − | 0.656590i | ||||
\(725\) | −7.79349 | − | 5.00857i | −0.289443 | − | 0.186014i | ||||
\(726\) | −12.3226 | + | 1.67206i | −0.457334 | + | 0.0620558i | ||||
\(727\) | 35.7009 | + | 10.4827i | 1.32407 | + | 0.388783i | 0.865961 | − | 0.500112i | \(-0.166708\pi\) |
0.458112 | + | 0.888894i | \(0.348526\pi\) | |||||||
\(728\) | 18.8493 | − | 38.8031i | 0.698602 | − | 1.43814i | ||||
\(729\) | 0.654861 | + | 0.755750i | 0.0242541 | + | 0.0279907i | ||||
\(730\) | −3.69150 | + | 12.2129i | −0.136629 | + | 0.452018i | ||||
\(731\) | −2.23110 | − | 7.59842i | −0.0825201 | − | 0.281038i | ||||
\(732\) | −19.4963 | − | 6.06223i | −0.720605 | − | 0.224067i | ||||
\(733\) | 6.37548 | + | 0.916655i | 0.235484 | + | 0.0338574i | 0.259046 | − | 0.965865i | \(-0.416592\pi\) |
−0.0235626 | + | 0.999722i | \(0.507501\pi\) | |||||||
\(734\) | −5.88649 | + | 38.7563i | −0.217274 | + | 1.43052i | ||||
\(735\) | 4.36180 | 0.160887 | ||||||||
\(736\) | 20.8527 | − | 17.3541i | 0.768642 | − | 0.639679i | ||||
\(737\) | −14.9236 | −0.549716 | ||||||||
\(738\) | −1.50387 | + | 9.90139i | −0.0553582 | + | 0.364475i | ||||
\(739\) | 1.51145 | + | 0.217314i | 0.0555996 | + | 0.00799402i | 0.170059 | − | 0.985434i | \(-0.445604\pi\) |
−0.114459 | + | 0.993428i | \(0.536513\pi\) | |||||||
\(740\) | −28.1018 | − | 8.73805i | −1.03304 | − | 0.321217i | ||||
\(741\) | 0.904779 | + | 3.08139i | 0.0332379 | + | 0.113198i | ||||
\(742\) | −9.77493 | + | 32.3391i | −0.358849 | + | 1.18721i | ||||
\(743\) | 9.42610 | + | 10.8783i | 0.345810 | + | 0.399086i | 0.901836 | − | 0.432079i | \(-0.142220\pi\) |
−0.556026 | + | 0.831165i | \(0.687674\pi\) | |||||||
\(744\) | −12.3593 | + | 25.4428i | −0.453114 | + | 0.932777i | ||||
\(745\) | 14.0045 | + | 4.11209i | 0.513085 | + | 0.150655i | ||||
\(746\) | 40.9061 | − | 5.55056i | 1.49768 | − | 0.203221i | ||||
\(747\) | −3.45916 | − | 2.22307i | −0.126564 | − | 0.0813377i | ||||
\(748\) | −10.0136 | − | 4.76647i | −0.366132 | − | 0.174279i | ||||
\(749\) | −2.60946 | + | 3.01148i | −0.0953476 | + | 0.110037i | ||||
\(750\) | −14.4592 | + | 9.13108i | −0.527974 | + | 0.333420i | ||||
\(751\) | 4.22788 | + | 29.4056i | 0.154278 | + | 1.07302i | 0.908945 | + | 0.416917i | \(0.136889\pi\) |
−0.754667 | + | 0.656108i | \(0.772202\pi\) | |||||||
\(752\) | −20.0119 | + | 29.0682i | −0.729760 | + | 1.06001i | ||||
\(753\) | 8.06623 | − | 3.68372i | 0.293950 | − | 0.134242i | ||||
\(754\) | −13.0285 | + | 27.9398i | −0.474471 | + | 1.01751i | ||||
\(755\) | −11.6493 | + | 25.5083i | −0.423960 | + | 0.928344i | ||||
\(756\) | −0.0981067 | + | 6.18299i | −0.00356811 | + | 0.224873i | ||||
\(757\) | −13.3897 | − | 20.8348i | −0.486658 | − | 0.757254i | 0.507903 | − | 0.861414i | \(-0.330421\pi\) |
−0.994561 | + | 0.104160i | \(0.966785\pi\) | |||||||
\(758\) | 20.6171 | − | 23.4155i | 0.748848 | − | 0.850489i | ||||
\(759\) | −4.77083 | − | 5.29102i | −0.173170 | − | 0.192052i | ||||
\(760\) | −1.75872 | + | 2.59852i | −0.0637956 | + | 0.0942582i | ||||
\(761\) | −18.0475 | + | 11.5984i | −0.654220 | + | 0.420442i | −0.825206 | − | 0.564832i | \(-0.808941\pi\) |
0.170986 | + | 0.985273i | \(0.445305\pi\) | |||||||
\(762\) | 10.0524 | + | 11.7887i | 0.364158 | + | 0.427060i | ||||
\(763\) | 23.2904 | + | 10.6364i | 0.843171 | + | 0.385063i | ||||
\(764\) | −10.7175 | − | 24.4889i | −0.387744 | − | 0.885977i | ||||
\(765\) | 2.64228 | + | 5.78578i | 0.0955317 | + | 0.209185i | ||||
\(766\) | −44.5464 | − | 0.353391i | −1.60953 | − | 0.0127685i | ||||
\(767\) | 34.5449 | − | 4.96681i | 1.24735 | − | 0.179341i | ||||
\(768\) | 3.52502 | + | 15.6069i | 0.127198 | + | 0.563164i | ||||
\(769\) | −30.2532 | − | 26.2146i | −1.09096 | − | 0.945322i | −0.0922317 | − | 0.995738i | \(-0.529400\pi\) |
−0.998728 | + | 0.0504153i | \(0.983946\pi\) | |||||||
\(770\) | −3.03399 | − | 10.6445i | −0.109337 | − | 0.383600i | ||||
\(771\) | −6.45304 | + | 10.0411i | −0.232401 | + | 0.361622i | ||||
\(772\) | 7.07074 | + | 4.70425i | 0.254481 | + | 0.169310i | ||||
\(773\) | 0.416037 | − | 1.41689i | 0.0149638 | − | 0.0509621i | −0.951673 | − | 0.307114i | \(-0.900637\pi\) |
0.966636 | + | 0.256152i | \(0.0824548\pi\) | |||||||
\(774\) | 2.51109 | + | 1.64207i | 0.0902593 | + | 0.0590231i | ||||
\(775\) | 15.8444 | − | 13.7292i | 0.569147 | − | 0.493169i | ||||
\(776\) | −31.7849 | − | 5.34485i | −1.14101 | − | 0.191869i | ||||
\(777\) | 25.6178 | − | 7.52208i | 0.919035 | − | 0.269853i | ||||
\(778\) | −9.29254 | + | 4.15499i | −0.333154 | + | 0.148964i | ||||
\(779\) | 0.656126 | − | 4.56346i | 0.0235082 | − | 0.163503i | ||||
\(780\) | 10.8061 | + | 12.8782i | 0.386920 | + | 0.461112i | ||||
\(781\) | 9.76707i | 0.349493i | ||||||||
\(782\) | 3.89873 | + | 25.0147i | 0.139418 | + | 0.894523i | ||||
\(783\) | − | 4.41907i | − | 0.157925i | ||||||
\(784\) | −6.94724 | + | 7.52149i | −0.248116 | + | 0.268625i | ||||
\(785\) | −4.29544 | + | 29.8755i | −0.153311 | + | 1.06630i | ||||
\(786\) | 1.09419 | + | 2.44712i | 0.0390283 | + | 0.0872860i | ||||
\(787\) | −27.0093 | + | 7.93065i | −0.962778 | + | 0.282697i | −0.725097 | − | 0.688646i | \(-0.758205\pi\) |
−0.237681 | + | 0.971343i | \(0.576387\pi\) | |||||||
\(788\) | −33.3745 | + | 20.7078i | −1.18892 | + | 0.737684i | ||||
\(789\) | −5.29870 | + | 4.59135i | −0.188639 | + | 0.163456i | ||||
\(790\) | 2.24760 | − | 3.43707i | 0.0799659 | − | 0.122285i | ||||
\(791\) | 9.59660 | − | 32.6830i | 0.341216 | − | 1.16207i | ||||
\(792\) | 4.05852 | − | 1.08748i | 0.144213 | − | 0.0386420i | ||||
\(793\) | 27.2254 | − | 42.3636i | 0.966803 | − | 1.50437i | ||||
\(794\) | −30.4864 | + | 8.68952i | −1.08192 | + | 0.308379i | ||||
\(795\) | −9.94994 | − | 8.62167i | −0.352888 | − | 0.305779i | ||||
\(796\) | −3.71226 | + | 23.2001i | −0.131577 | + | 0.822305i | ||||
\(797\) | 18.1147 | − | 2.60450i | 0.641656 | − | 0.0922562i | 0.186196 | − | 0.982513i | \(-0.440384\pi\) |
0.455460 | + | 0.890256i | \(0.349475\pi\) | |||||||
\(798\) | 0.0225824 | − | 2.84661i | 0.000799410 | − | 0.100769i | ||||
\(799\) | −13.6808 | − | 29.9567i | −0.483991 | − | 1.05979i | ||||
\(800\) | 2.15186 | − | 11.6622i | 0.0760799 | − | 0.412320i | ||||
\(801\) | −10.3392 | − | 4.72178i | −0.365319 | − | 0.166836i | ||||
\(802\) | 29.7777 | − | 25.3918i | 1.05149 | − | 0.896614i | ||||
\(803\) | −6.61643 | + | 4.25212i | −0.233489 | + | 0.150054i | ||||
\(804\) | −19.9304 | + | 2.54351i | −0.702890 | + | 0.0897028i | ||||
\(805\) | −16.1662 | + | 19.4186i | −0.569782 | + | 0.684416i | ||||
\(806\) | −52.3611 | − | 46.1034i | −1.84434 | − | 1.62392i | ||||
\(807\) | 6.60643 | + | 10.2798i | 0.232557 | + | 0.361866i | ||||
\(808\) | −5.75972 | + | 6.33592i | −0.202626 | + | 0.222897i | ||||
\(809\) | 5.15468 | − | 11.2872i | 0.181229 | − | 0.396836i | −0.797113 | − | 0.603830i | \(-0.793641\pi\) |
0.978342 | + | 0.206994i | \(0.0663680\pi\) | |||||||
\(810\) | −2.18403 | − | 1.01843i | −0.0767391 | − | 0.0357840i | ||||
\(811\) | 10.7460 | − | 4.90752i | 0.377342 | − | 0.172326i | −0.217710 | − | 0.976013i | \(-0.569859\pi\) |
0.595052 | + | 0.803687i | \(0.297131\pi\) | |||||||
\(812\) | 18.2205 | − | 20.3655i | 0.639413 | − | 0.714689i | ||||
\(813\) | 1.69303 | + | 11.7753i | 0.0593772 | + | 0.412977i | ||||
\(814\) | −9.68661 | − | 15.3389i | −0.339516 | − | 0.537627i | ||||
\(815\) | 10.1094 | − | 11.6669i | 0.354117 | − | 0.408673i | ||||
\(816\) | −14.1855 | − | 4.65894i | −0.496591 | − | 0.163095i | ||||
\(817\) | −1.16194 | − | 0.746735i | −0.0406512 | − | 0.0261249i | ||||
\(818\) | 3.70346 | + | 27.2934i | 0.129488 | + | 0.954292i | ||||
\(819\) | −14.6341 | − | 4.29697i | −0.511358 | − | 0.150148i | ||||
\(820\) | −6.43114 | − | 23.2615i | −0.224585 | − | 0.812327i | ||||
\(821\) | −20.5112 | − | 23.6712i | −0.715845 | − | 0.826130i | 0.274956 | − | 0.961457i | \(-0.411337\pi\) |
−0.990801 | + | 0.135327i | \(0.956791\pi\) | |||||||
\(822\) | 15.2196 | + | 4.60034i | 0.530846 | + | 0.160455i | ||||
\(823\) | −9.18509 | − | 31.2815i | −0.320172 | − | 1.09041i | −0.949630 | − | 0.313372i | \(-0.898541\pi\) |
0.629458 | − | 0.777034i | \(-0.283277\pi\) | |||||||
\(824\) | 18.7383 | − | 11.4216i | 0.652781 | − | 0.397892i | ||||
\(825\) | −3.08255 | − | 0.443203i | −0.107321 | − | 0.0154304i | ||||
\(826\) | −30.5852 | − | 4.64542i | −1.06420 | − | 0.161635i | ||||
\(827\) | 21.2389 | 0.738549 | 0.369275 | − | 0.929320i | \(-0.379606\pi\) | ||||
0.369275 | + | 0.929320i | \(0.379606\pi\) | |||||||
\(828\) | −7.27322 | − | 6.25302i | −0.252762 | − | 0.217308i | ||||
\(829\) | −50.3472 | −1.74863 | −0.874316 | − | 0.485357i | \(-0.838690\pi\) | ||||
−0.874316 | + | 0.485357i | \(0.838690\pi\) | |||||||
\(830\) | 9.79658 | + | 1.48795i | 0.340044 | + | 0.0516475i | ||||
\(831\) | 12.8285 | + | 1.84446i | 0.445015 | + | 0.0639835i | ||||
\(832\) | −39.4185 | − | 1.87764i | −1.36659 | − | 0.0650955i | ||||
\(833\) | −2.69192 | − | 9.16784i | −0.0932695 | − | 0.317647i | ||||
\(834\) | 2.54184 | + | 0.768306i | 0.0880167 | + | 0.0266043i | ||||
\(835\) | 25.4632 | + | 29.3861i | 0.881189 | + | 1.01695i | ||||
\(836\) | −1.86431 | + | 0.515428i | −0.0644785 | + | 0.0178264i | ||||
\(837\) | 9.59544 | + | 2.81748i | 0.331667 | + | 0.0973862i | ||||
\(838\) | 0.826117 | + | 6.08825i | 0.0285377 | + | 0.210315i | ||||
\(839\) | 18.7420 | + | 12.0448i | 0.647047 | + | 0.415832i | 0.822586 | − | 0.568640i | \(-0.192530\pi\) |
−0.175539 | + | 0.984472i | \(0.556167\pi\) | |||||||
\(840\) | −5.86608 | − | 13.6986i | −0.202399 | − | 0.472645i | ||||
\(841\) | 6.20272 | − | 7.15832i | 0.213887 | − | 0.246839i | ||||
\(842\) | −24.4458 | − | 38.7101i | −0.842456 | − | 1.33404i | ||||
\(843\) | −3.85195 | − | 26.7909i | −0.132668 | − | 0.922728i | ||||
\(844\) | −40.5168 | − | 36.2493i | −1.39465 | − | 1.24775i | ||||
\(845\) | −17.5669 | + | 8.02255i | −0.604321 | + | 0.275984i | ||||
\(846\) | 11.3082 | + | 5.27307i | 0.388782 | + | 0.181292i | ||||
\(847\) | −11.2942 | + | 24.7308i | −0.388072 | + | 0.849759i | ||||
\(848\) | 30.7150 | − | 3.42554i | 1.05476 | − | 0.117634i | ||||
\(849\) | 5.64841 | + | 8.78910i | 0.193853 | + | 0.301641i | ||||
\(850\) | 8.30588 | + | 7.31325i | 0.284889 | + | 0.250842i | ||||
\(851\) | −16.4566 | + | 38.0034i | −0.564124 | + | 1.30274i | ||||
\(852\) | 1.66466 | + | 13.0439i | 0.0570304 | + | 0.446877i | ||||
\(853\) | −21.7069 | + | 13.9502i | −0.743231 | + | 0.477646i | −0.856648 | − | 0.515902i | \(-0.827457\pi\) |
0.113416 | + | 0.993548i | \(0.463821\pi\) | |||||||
\(854\) | −33.9658 | + | 28.9630i | −1.16228 | + | 0.991092i | ||||
\(855\) | 1.00911 | + | 0.460844i | 0.0345108 | + | 0.0157605i | ||||
\(856\) | 3.47213 | + | 1.10992i | 0.118675 | + | 0.0379361i | ||||
\(857\) | −1.94461 | − | 4.25810i | −0.0664266 | − | 0.145454i | 0.873507 | − | 0.486812i | \(-0.161840\pi\) |
−0.939933 | + | 0.341358i | \(0.889113\pi\) | |||||||
\(858\) | −0.0822100 | + | 10.3629i | −0.00280660 | + | 0.353784i | ||||
\(859\) | −9.03790 | + | 1.29945i | −0.308369 | + | 0.0443368i | −0.294762 | − | 0.955571i | \(-0.595240\pi\) |
−0.0136068 | + | 0.999907i | \(0.504331\pi\) | |||||||
\(860\) | −7.13941 | − | 1.14238i | −0.243452 | − | 0.0389549i | ||||
\(861\) | 16.5476 | + | 14.3386i | 0.563940 | + | 0.488657i | ||||
\(862\) | −46.1553 | + | 13.1556i | −1.57205 | + | 0.448082i | ||||
\(863\) | −8.29308 | + | 12.9043i | −0.282300 | + | 0.439267i | −0.953227 | − | 0.302256i | \(-0.902260\pi\) |
0.670927 | + | 0.741524i | \(0.265896\pi\) | |||||||
\(864\) | 5.23479 | − | 2.14405i | 0.178091 | − | 0.0729420i | ||||
\(865\) | 10.0809 | − | 34.3325i | 0.342762 | − | 1.16734i | ||||
\(866\) | −9.50877 | + | 14.5410i | −0.323121 | + | 0.494124i | ||||
\(867\) | −2.31762 | + | 2.00823i | −0.0787106 | + | 0.0682031i | ||||
\(868\) | 32.6042 | + | 52.5478i | 1.10666 | + | 1.78359i | ||||
\(869\) | 2.42903 | − | 0.713226i | 0.0823991 | − | 0.0241946i | ||||
\(870\) | 4.34683 | + | 9.72158i | 0.147371 | + | 0.329592i | ||||
\(871\) | 7.05254 | − | 49.0515i | 0.238966 | − | 1.66205i | ||||
\(872\) | 0.557375 | − | 23.4159i | 0.0188751 | − | 0.792962i | ||||
\(873\) | 11.3954i | 0.385676i | ||||||||
\(874\) | 3.37096 | + | 2.85193i | 0.114024 | + | 0.0964680i | ||||
\(875\) | 37.3878i | 1.26394i | ||||||||
\(876\) | −8.11152 | + | 6.80638i | −0.274063 | + | 0.229966i | ||||
\(877\) | −0.242753 | + | 1.68839i | −0.00819719 | + | 0.0570127i | −0.993509 | − | 0.113749i | \(-0.963714\pi\) |
0.985312 | + | 0.170762i | \(0.0546230\pi\) | |||||||
\(878\) | 11.6084 | − | 5.19049i | 0.391765 | − | 0.175171i | ||||
\(879\) | 17.4133 | − | 5.11300i | 0.587335 | − | 0.172457i | ||||
\(880\) | −7.85869 | + | 6.38453i | −0.264916 | + | 0.215223i | ||||
\(881\) | −19.1740 | + | 16.6144i | −0.645989 | + | 0.559753i | −0.915035 | − | 0.403375i | \(-0.867837\pi\) |
0.269046 | + | 0.963127i | \(0.413292\pi\) | |||||||
\(882\) | 3.02974 | + | 1.98123i | 0.102017 | + | 0.0667116i | ||||
\(883\) | −5.49321 | + | 18.7082i | −0.184861 | + | 0.629580i | 0.813955 | + | 0.580929i | \(0.197310\pi\) |
−0.998816 | + | 0.0486511i | \(0.984508\pi\) | |||||||
\(884\) | 20.3989 | − | 30.6606i | 0.686088 | − | 1.03123i | ||||
\(885\) | 6.51783 | − | 10.1419i | 0.219094 | − | 0.340918i | ||||
\(886\) | 13.7264 | + | 48.1578i | 0.461147 | + | 1.61789i | ||||
\(887\) | 5.50216 | + | 4.76765i | 0.184745 | + | 0.160082i | 0.742323 | − | 0.670042i | \(-0.233724\pi\) |
−0.557579 | + | 0.830124i | \(0.688269\pi\) | |||||||
\(888\) | −15.5507 | − | 18.8341i | −0.521849 | − | 0.632030i | ||||
\(889\) | 33.5268 | − | 4.82042i | 1.12445 | − | 0.161672i | ||||
\(890\) | 27.3901 | + | 0.217288i | 0.918117 | + | 0.00728351i | ||||
\(891\) | −0.617108 | − | 1.35128i | −0.0206739 | − | 0.0452695i | ||||
\(892\) | 3.96785 | − | 1.73651i | 0.132853 | − | 0.0581428i | ||||
\(893\) | −5.22481 | − | 2.38609i | −0.174841 | − | 0.0798474i | ||||
\(894\) | 7.85983 | + | 9.21747i | 0.262872 | + | 0.308278i | ||||
\(895\) | −6.26132 | + | 4.02390i | −0.209293 | + | 0.134504i | ||||
\(896\) | 32.9650 | + | 11.7029i | 1.10128 | + | 0.390965i | ||||
\(897\) | 19.6454 | − | 13.1806i | 0.655940 | − | 0.440088i | ||||
\(898\) | 14.2875 | − | 16.2268i | 0.476782 | − | 0.541495i | ||||
\(899\) | −23.8926 | − | 37.1776i | −0.796862 | − | 1.23994i | ||||
\(900\) | −4.19227 | − | 0.0665196i | −0.139742 | − | 0.00221732i | ||||
\(901\) | −11.9808 | + | 26.2342i | −0.399137 | + | 0.873988i | ||||
\(902\) | 6.28746 | − | 13.4835i | 0.209350 | − | 0.448952i | ||||
\(903\) | 5.96682 | − | 2.72495i | 0.198563 | − | 0.0906808i | ||||
\(904\) | −30.9400 | + | 3.69936i | −1.02905 | + | 0.123039i | ||||
\(905\) | −4.98415 | − | 34.6656i | −0.165679 | − | 1.15232i | ||||
\(906\) | −19.6782 | + | 12.4269i | −0.653764 | + | 0.412857i | ||||
\(907\) | 17.8824 | − | 20.6374i | 0.593775 | − | 0.685253i | −0.376733 | − | 0.926322i | \(-0.622952\pi\) |
0.970508 | + | 0.241069i | \(0.0774979\pi\) | |||||||
\(908\) | −4.22835 | + | 8.88307i | −0.140323 | + | 0.294795i | ||||
\(909\) | 2.54676 | + | 1.63670i | 0.0844706 | + | 0.0542860i | ||||
\(910\) | 36.4206 | − | 4.94192i | 1.20733 | − | 0.163823i | ||||
\(911\) | 24.9201 | + | 7.31720i | 0.825640 | + | 0.242430i | 0.667143 | − | 0.744930i | \(-0.267517\pi\) |
0.158497 | + | 0.987359i | \(0.449335\pi\) | |||||||
\(912\) | −2.40193 | + | 1.00610i | −0.0795360 | + | 0.0333153i | ||||
\(913\) | 4.00010 | + | 4.61637i | 0.132384 | + | 0.152779i | ||||
\(914\) | 3.75994 | − | 12.4393i | 0.124368 | − | 0.411454i | ||||
\(915\) | −4.90082 | − | 16.6907i | −0.162016 | − | 0.551777i | ||||
\(916\) | −17.3470 | + | 55.7886i | −0.573163 | + | 1.84331i | ||||
\(917\) | 5.80094 | + | 0.834049i | 0.191564 | + | 0.0275427i | ||||
\(918\) | −0.792691 | + | 5.21904i | −0.0261627 | + | 0.172254i | ||||
\(919\) | −31.0730 | −1.02500 | −0.512502 | − | 0.858686i | \(-0.671281\pi\) | ||||
−0.512502 | + | 0.858686i | \(0.671281\pi\) | |||||||
\(920\) | 22.1513 | + | 6.60180i | 0.730306 | + | 0.217655i | ||||
\(921\) | −19.0987 | −0.629324 | ||||||||
\(922\) | −3.18243 | + | 20.9529i | −0.104808 | + | 0.690048i | ||||
\(923\) | −32.1029 | − | 4.61570i | −1.05668 | − | 0.151928i | ||||
\(924\) | 2.72754 | − | 8.77184i | 0.0897294 | − | 0.288573i | ||||
\(925\) | 5.10022 | + | 17.3697i | 0.167694 | + | 0.571114i | ||||
\(926\) | −5.38014 | + | 17.7995i | −0.176802 | + | 0.584928i | ||||
\(927\) | −5.08086 | − | 5.86363i | −0.166877 | − | 0.192587i | ||||
\(928\) | −23.6873 | − | 7.98835i | −0.777574 | − | 0.262230i | ||||
\(929\) | −17.4020 | − | 5.10969i | −0.570942 | − | 0.167644i | −0.0164967 | − | 0.999864i | \(-0.505251\pi\) |
−0.554445 | + | 0.832220i | \(0.687069\pi\) | |||||||
\(930\) | −23.8806 | + | 3.24037i | −0.783075 | + | 0.106256i | ||||
\(931\) | −1.40193 | − | 0.900969i | −0.0459466 | − | 0.0295281i | ||||
\(932\) | 11.2738 | − | 23.6844i | 0.369285 | − | 0.775807i | ||||
\(933\) | 20.3293 | − | 23.4613i | 0.665552 | − | 0.768088i | ||||
\(934\) | −36.8402 | + | 23.2649i | −1.20545 | + | 0.761250i | ||||
\(935\) | −1.34470 | − | 9.35258i | −0.0439763 | − | 0.305862i | ||||
\(936\) | 1.65642 | + | 13.8537i | 0.0541419 | + | 0.452821i | ||||
\(937\) | 43.8199 | − | 20.0119i | 1.43153 | − | 0.653759i | 0.459409 | − | 0.888225i | \(-0.348061\pi\) |
0.972124 | + | 0.234466i | \(0.0753340\pi\) | |||||||
\(938\) | −18.5644 | + | 39.8114i | −0.606148 | + | 1.29989i | ||||
\(939\) | −9.44405 | + | 20.6796i | −0.308195 | + | 0.674853i | ||||
\(940\) | −30.0639 | − | 0.477029i | −0.980575 | − | 0.0155590i | ||||
\(941\) | −9.18023 | − | 14.2847i | −0.299267 | − | 0.465668i | 0.658757 | − | 0.752355i | \(-0.271082\pi\) |
−0.958024 | + | 0.286687i | \(0.907446\pi\) | |||||||
\(942\) | −16.5538 | + | 18.8007i | −0.539352 | + | 0.612559i | ||||
\(943\) | −33.5147 | + | 5.49619i | −1.09139 | + | 0.178981i | ||||
\(944\) | 7.10752 | + | 27.3929i | 0.231330 | + | 0.891563i | ||||
\(945\) | −4.43219 | + | 2.84840i | −0.144179 | + | 0.0926583i | ||||
\(946\) | −2.89193 | − | 3.39146i | −0.0940249 | − | 0.110266i | ||||
\(947\) | 50.3594 | + | 22.9984i | 1.63646 | + | 0.747347i | 0.999718 | − | 0.0237287i | \(-0.00755380\pi\) |
0.636743 | + | 0.771076i | \(0.280281\pi\) | |||||||
\(948\) | 3.12240 | − | 1.36651i | 0.101411 | − | 0.0443821i | ||||
\(949\) | −10.8493 | − | 23.7567i | −0.352184 | − | 0.771175i | ||||
\(950\) | 1.93010 | + | 0.0153116i | 0.0626206 | + | 0.000496775i | ||||
\(951\) | 23.8259 | − | 3.42565i | 0.772609 | − | 0.111084i | ||||
\(952\) | −25.1720 | + | 20.7838i | −0.815828 | + | 0.673606i | ||||
\(953\) | 12.8777 | + | 11.1586i | 0.417150 | + | 0.361463i | 0.838002 | − | 0.545667i | \(-0.183724\pi\) |
−0.420852 | + | 0.907129i | \(0.638269\pi\) | |||||||
\(954\) | −2.99514 | − | 10.5082i | −0.0969713 | − | 0.340215i | ||||
\(955\) | 12.3132 | − | 19.1596i | 0.398444 | − | 0.619991i | ||||
\(956\) | −15.8773 | + | 23.8644i | −0.513508 | + | 0.771830i | ||||
\(957\) | −1.84947 | + | 6.29871i | −0.0597848 | + | 0.203608i | ||||
\(958\) | −25.2570 | − | 16.5163i | −0.816017 | − | 0.533616i | ||||
\(959\) | 26.2709 | − | 22.7639i | 0.848332 | − | 0.735084i | ||||
\(960\) | −9.40711 | + | 9.86594i | −0.303613 | + | 0.318422i | ||||
\(961\) | 66.2153 | − | 19.4426i | 2.13598 | − | 0.627179i | ||||
\(962\) | 54.9942 | − | 24.5897i | 1.77308 | − | 0.792802i | ||||
\(963\) | 0.183412 | − | 1.27566i | 0.00591038 | − | 0.0411076i | ||||
\(964\) | 30.0578 | − | 25.2216i | 0.968097 | − | 0.812331i | ||||
\(965\) | 7.23573i | 0.232926i | ||||||||
\(966\) | −20.0495 | + | 6.14527i | −0.645083 | + | 0.197721i | ||||
\(967\) | − | 36.7979i | − | 1.18334i | −0.806180 | − | 0.591670i | \(-0.798469\pi\) | ||
0.806180 | − | 0.591670i | \(-0.201531\pi\) | |||||||
\(968\) | 24.8640 | + | 0.591844i | 0.799158 | + | 0.0190226i | ||||
\(969\) | 0.345845 | − | 2.40540i | 0.0111101 | − | 0.0772727i | ||||
\(970\) | −11.2091 | − | 25.0690i | −0.359903 | − | 0.804916i | ||||
\(971\) | −16.4028 | + | 4.81628i | −0.526389 | + | 0.154562i | −0.534121 | − | 0.845408i | \(-0.679357\pi\) |
0.00773123 | + | 0.999970i | \(0.497539\pi\) | |||||||
\(972\) | −1.05445 | − | 1.69945i | −0.0338216 | − | 0.0545099i | ||||
\(973\) | 4.38752 | − | 3.80181i | 0.140657 | − | 0.121880i | ||||
\(974\) | −1.60719 | + | 2.45775i | −0.0514977 | + | 0.0787513i | ||||
\(975\) | 2.91349 | − | 9.92243i | 0.0933063 | − | 0.317772i | ||||
\(976\) | 36.5872 | + | 18.1330i | 1.17113 | + | 0.580424i | ||||
\(977\) | 7.67489 | − | 11.9424i | 0.245542 | − | 0.382070i | −0.696505 | − | 0.717552i | \(-0.745263\pi\) |
0.942047 | + | 0.335482i | \(0.108899\pi\) | |||||||
\(978\) | 12.3215 | − | 3.51198i | 0.393997 | − | 0.112301i | ||||
\(979\) | 12.7609 | + | 11.0573i | 0.407839 | + | 0.353394i | ||||
\(980\) | −8.61402 | − | 1.37833i | −0.275165 | − | 0.0440293i | ||||
\(981\) | −8.19682 | + | 1.17853i | −0.261704 | + | 0.0376274i | ||||
\(982\) | 0.190401 | − | 24.0008i | 0.00607594 | − | 0.765897i | ||||
\(983\) | 14.2364 | + | 31.1733i | 0.454070 | + | 0.994274i | 0.988799 | + | 0.149251i | \(0.0476862\pi\) |
−0.534729 | + | 0.845023i | \(0.679586\pi\) | |||||||
\(984\) | 6.09881 | − | 19.0788i | 0.194423 | − | 0.608210i | ||||
\(985\) | −30.4397 | − | 13.9013i | −0.969890 | − | 0.442934i | ||||
\(986\) | 17.7506 | − | 15.1361i | 0.565294 | − | 0.482032i | ||||
\(987\) | 22.9483 | − | 14.7480i | 0.730453 | − | 0.469434i | ||||
\(988\) | −0.813103 | − | 6.37129i | −0.0258683 | − | 0.202698i | ||||
\(989\) | −2.67319 | + | 9.81717i | −0.0850026 | + | 0.312168i | ||||
\(990\) | 2.68677 | + | 2.36568i | 0.0853912 | + | 0.0751861i | ||||
\(991\) | −8.30801 | − | 12.9275i | −0.263913 | − | 0.410656i | 0.683855 | − | 0.729618i | \(-0.260302\pi\) |
−0.947767 | + | 0.318962i | \(0.896666\pi\) | |||||||
\(992\) | 32.4480 | − | 46.3408i | 1.03023 | − | 1.47132i | ||||
\(993\) | −9.63763 | + | 21.1035i | −0.305841 | + | 0.669698i | ||||
\(994\) | 26.0555 | + | 12.1499i | 0.826431 | + | 0.385371i | ||||
\(995\) | −18.2089 | + | 8.31571i | −0.577260 | + | 0.263626i | ||||
\(996\) | 6.12892 | + | 5.48338i | 0.194202 | + | 0.173748i | ||||
\(997\) | −2.43706 | − | 16.9501i | −0.0771825 | − | 0.536816i | −0.991326 | − | 0.131425i | \(-0.958045\pi\) |
0.914144 | − | 0.405391i | \(-0.132865\pi\) | |||||||
\(998\) | 6.42233 | + | 10.1698i | 0.203295 | + | 0.321920i | ||||
\(999\) | −5.65492 | + | 6.52612i | −0.178914 | + | 0.206477i |
(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 | 276.2.m.a.103.13 | yes | 240 | |
3.2 | odd | 2 | 828.2.u.c.379.12 | 240 | |||
4.3 | odd | 2 | inner | 276.2.m.a.103.23 | yes | 240 | |
12.11 | even | 2 | 828.2.u.c.379.2 | 240 | |||
23.21 | odd | 22 | inner | 276.2.m.a.67.23 | yes | 240 | |
69.44 | even | 22 | 828.2.u.c.343.2 | 240 | |||
92.67 | even | 22 | inner | 276.2.m.a.67.13 | ✓ | 240 | |
276.251 | odd | 22 | 828.2.u.c.343.12 | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
276.2.m.a.67.13 | ✓ | 240 | 92.67 | even | 22 | inner | |
276.2.m.a.67.23 | yes | 240 | 23.21 | odd | 22 | inner | |
276.2.m.a.103.13 | yes | 240 | 1.1 | even | 1 | trivial | |
276.2.m.a.103.23 | yes | 240 | 4.3 | odd | 2 | inner | |
828.2.u.c.343.2 | 240 | 69.44 | even | 22 | |||
828.2.u.c.343.12 | 240 | 276.251 | odd | 22 | |||
828.2.u.c.379.2 | 240 | 12.11 | even | 2 | |||
828.2.u.c.379.12 | 240 | 3.2 | odd | 2 |