Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [756,2,Mod(11,756)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(756, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 13, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("756.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 756 = 2^{2} \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 756.bs (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.03669039281\) |
Analytic rank: | \(0\) |
Dimension: | \(840\) |
Relative dimension: | \(140\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 11.8 | ||
Character | \(\chi\) | \(=\) | 756.11 |
Dual form | 756.2.bs.a.275.8 |
$q$-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 \(\left(\mathbb{Z}/756\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{13}{18}\right)\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.39274 | − | 0.245534i | −0.984813 | − | 0.173619i | ||||
\(3\) | −1.54124 | − | 0.790313i | −0.889832 | − | 0.456287i | ||||
\(4\) | 1.87943 | + | 0.683928i | 0.939713 | + | 0.341964i | ||||
\(5\) | 1.51908 | − | 0.267855i | 0.679354 | − | 0.119788i | 0.176685 | − | 0.984267i | \(-0.443463\pi\) |
0.502669 | + | 0.864479i | \(0.332352\pi\) | |||||||
\(6\) | 1.95248 | + | 1.47912i | 0.797098 | + | 0.603849i | ||||
\(7\) | −1.79492 | + | 1.94378i | −0.678415 | + | 0.734679i | ||||
\(8\) | −2.44962 | − | 1.41399i | −0.866070 | − | 0.499922i | ||||
\(9\) | 1.75081 | + | 2.43612i | 0.583604 | + | 0.812039i | ||||
\(10\) | −2.18145 | 6.52995e-5i | −0.689834 | 2.06495e-5i | ||||||
\(11\) | 0.634802 | − | 3.60014i | 0.191400 | − | 1.08548i | −0.726053 | − | 0.687639i | \(-0.758647\pi\) |
0.917453 | − | 0.397844i | \(-0.130242\pi\) | |||||||
\(12\) | −2.35612 | − | 2.53943i | −0.680153 | − | 0.733070i | ||||
\(13\) | 1.53778 | − | 1.29035i | 0.426502 | − | 0.357878i | −0.404128 | − | 0.914703i | \(-0.632425\pi\) |
0.830630 | + | 0.556825i | \(0.187980\pi\) | |||||||
\(14\) | 2.97711 | − | 2.26646i | 0.795666 | − | 0.605736i | ||||
\(15\) | −2.55295 | − | 0.787722i | −0.659169 | − | 0.203389i | ||||
\(16\) | 3.06449 | + | 2.57078i | 0.766121 | + | 0.642696i | ||||
\(17\) | 5.32984i | 1.29268i | 0.763051 | + | 0.646338i | \(0.223700\pi\) | ||||
−0.763051 | + | 0.646338i | \(0.776300\pi\) | |||||||
\(18\) | −1.84027 | − | 3.82275i | −0.433755 | − | 0.901031i | ||||
\(19\) | 2.34465i | 0.537900i | 0.963154 | + | 0.268950i | \(0.0866766\pi\) | ||||
−0.963154 | + | 0.268950i | \(0.913323\pi\) | |||||||
\(20\) | 3.03819 | + | 0.535528i | 0.679361 | + | 0.119748i | ||||
\(21\) | 4.30258 | − | 1.57727i | 0.938900 | − | 0.344189i | ||||
\(22\) | −1.76807 | + | 4.85818i | −0.376953 | + | 1.03577i | ||||
\(23\) | −1.12392 | + | 0.943079i | −0.234353 | + | 0.196646i | −0.752400 | − | 0.658707i | \(-0.771104\pi\) |
0.518047 | + | 0.855352i | \(0.326659\pi\) | |||||||
\(24\) | 2.65794 | + | 4.11526i | 0.542549 | + | 0.840024i | ||||
\(25\) | −2.46260 | + | 0.896314i | −0.492521 | + | 0.179263i | ||||
\(26\) | −2.45854 | + | 1.41954i | −0.482159 | + | 0.278394i | ||||
\(27\) | −0.773117 | − | 5.13832i | −0.148786 | − | 0.988869i | ||||
\(28\) | −4.70282 | + | 2.42559i | −0.888749 | + | 0.458394i | ||||
\(29\) | 4.46652 | − | 5.32299i | 0.829412 | − | 0.988455i | −0.170583 | − | 0.985343i | \(-0.554565\pi\) |
0.999995 | − | 0.00311190i | \(-0.000990551\pi\) | |||||||
\(30\) | 3.36217 | + | 1.72392i | 0.613846 | + | 0.314744i | ||||
\(31\) | −1.56683 | + | 4.30483i | −0.281411 | + | 0.773171i | 0.715784 | + | 0.698322i | \(0.246070\pi\) |
−0.997195 | + | 0.0748489i | \(0.976153\pi\) | |||||||
\(32\) | −3.63680 | − | 4.33286i | −0.642902 | − | 0.765948i | ||||
\(33\) | −3.82362 | + | 5.04697i | −0.665606 | + | 0.878565i | ||||
\(34\) | 1.30866 | − | 7.42306i | 0.224433 | − | 1.27304i | ||||
\(35\) | −2.20597 | + | 3.43353i | −0.372878 | + | 0.580373i | ||||
\(36\) | 1.62439 | + | 5.77593i | 0.270732 | + | 0.962655i | ||||
\(37\) | −2.87077 | + | 4.97232i | −0.471952 | + | 0.817444i | −0.999485 | − | 0.0320900i | \(-0.989784\pi\) |
0.527533 | + | 0.849534i | \(0.323117\pi\) | |||||||
\(38\) | 0.575691 | − | 3.26548i | 0.0933894 | − | 0.529731i | ||||
\(39\) | −3.38985 | + | 0.773404i | −0.542811 | + | 0.123844i | ||||
\(40\) | −4.09991 | − | 1.49183i | −0.648253 | − | 0.235879i | ||||
\(41\) | 2.97540 | + | 3.54595i | 0.464680 | + | 0.553784i | 0.946591 | − | 0.322436i | \(-0.104502\pi\) |
−0.481911 | + | 0.876220i | \(0.660057\pi\) | |||||||
\(42\) | −6.37963 | + | 1.14029i | −0.984399 | + | 0.175951i | ||||
\(43\) | 3.14436 | + | 8.63905i | 0.479510 | + | 1.31744i | 0.909911 | + | 0.414805i | \(0.136150\pi\) |
−0.430401 | + | 0.902638i | \(0.641628\pi\) | |||||||
\(44\) | 3.65530 | − | 6.33204i | 0.551057 | − | 0.954591i | ||||
\(45\) | 3.31215 | + | 3.23169i | 0.493746 | + | 0.481753i | ||||
\(46\) | 1.79688 | − | 1.03750i | 0.264935 | − | 0.152971i | ||||
\(47\) | 6.40507 | − | 2.33126i | 0.934276 | − | 0.340049i | 0.170373 | − | 0.985380i | \(-0.445503\pi\) |
0.763903 | + | 0.645331i | \(0.223281\pi\) | |||||||
\(48\) | −2.69137 | − | 6.38408i | −0.388466 | − | 0.921463i | ||||
\(49\) | −0.556548 | − | 6.97784i | −0.0795068 | − | 0.996834i | ||||
\(50\) | 3.64983 | − | 0.643676i | 0.516164 | − | 0.0910296i | ||||
\(51\) | 4.21224 | − | 8.21454i | 0.589832 | − | 1.15027i | ||||
\(52\) | 3.77264 | − | 1.37338i | 0.523171 | − | 0.190454i | ||||
\(53\) | 3.20659 | + | 1.85132i | 0.440459 | + | 0.254299i | 0.703792 | − | 0.710406i | \(-0.251489\pi\) |
−0.263334 | + | 0.964705i | \(0.584822\pi\) | |||||||
\(54\) | −0.184884 | + | 7.34614i | −0.0251595 | + | 0.999683i | ||||
\(55\) | − | 5.63894i | − | 0.760355i | ||||||
\(56\) | 7.14535 | − | 2.22351i | 0.954837 | − | 0.297129i | ||||
\(57\) | 1.85301 | − | 3.61366i | 0.245437 | − | 0.478641i | ||||
\(58\) | −7.52766 | + | 6.31684i | −0.988430 | + | 0.829442i | ||||
\(59\) | 9.23023 | − | 7.74508i | 1.20167 | − | 1.00832i | 0.202093 | − | 0.979366i | \(-0.435226\pi\) |
0.999581 | − | 0.0289578i | \(-0.00921883\pi\) | |||||||
\(60\) | −4.25934 | − | 3.22650i | −0.549878 | − | 0.416539i | ||||
\(61\) | 9.63894 | − | 3.50829i | 1.23414 | − | 0.449190i | 0.359127 | − | 0.933289i | \(-0.383075\pi\) |
0.875013 | + | 0.484099i | \(0.160852\pi\) | |||||||
\(62\) | 3.23917 | − | 5.61079i | 0.411374 | − | 0.712571i | ||||
\(63\) | −7.87783 | − | 0.969438i | −0.992513 | − | 0.122138i | ||||
\(64\) | 4.00124 | + | 6.92748i | 0.500156 | + | 0.865936i | ||||
\(65\) | 1.99038 | − | 2.37204i | 0.246876 | − | 0.294216i | ||||
\(66\) | 6.56449 | − | 6.09027i | 0.808033 | − | 0.749660i | ||||
\(67\) | −4.21321 | + | 0.742902i | −0.514725 | + | 0.0907599i | −0.424976 | − | 0.905205i | \(-0.639718\pi\) |
−0.0897488 | + | 0.995964i | \(0.528606\pi\) | |||||||
\(68\) | −3.64523 | + | 10.0170i | −0.442049 | + | 1.21474i | ||||
\(69\) | 2.47755 | − | 0.565259i | 0.298262 | − | 0.0680492i | ||||
\(70\) | 3.91539 | − | 4.24036i | 0.467978 | − | 0.506820i | ||||
\(71\) | 8.10625 | + | 14.0404i | 0.962035 | + | 1.66629i | 0.717379 | + | 0.696683i | \(0.245342\pi\) |
0.244656 | + | 0.969610i | \(0.421325\pi\) | |||||||
\(72\) | −0.844163 | − | 8.44319i | −0.0994855 | − | 0.995039i | ||||
\(73\) | 6.64364 | + | 11.5071i | 0.777579 | + | 1.34681i | 0.933334 | + | 0.359010i | \(0.116886\pi\) |
−0.155755 | + | 0.987796i | \(0.549781\pi\) | |||||||
\(74\) | 5.21910 | − | 6.22026i | 0.606708 | − | 0.723090i | ||||
\(75\) | 4.50382 | + | 0.564796i | 0.520056 | + | 0.0652171i | ||||
\(76\) | −1.60357 | + | 4.40660i | −0.183942 | + | 0.505471i | ||||
\(77\) | 5.85846 | + | 7.69587i | 0.667633 | + | 0.877026i | ||||
\(78\) | 4.91107 | − | 0.244824i | 0.556069 | − | 0.0277208i | ||||
\(79\) | −2.86471 | − | 0.505126i | −0.322306 | − | 0.0568312i | 0.0101547 | − | 0.999948i | \(-0.496768\pi\) |
−0.332460 | + | 0.943117i | \(0.607879\pi\) | |||||||
\(80\) | 5.34380 | + | 3.08439i | 0.597455 | + | 0.344845i | ||||
\(81\) | −2.86932 | + | 8.53036i | −0.318814 | + | 0.947817i | ||||
\(82\) | −3.27330 | − | 5.66913i | −0.361476 | − | 0.626051i | ||||
\(83\) | 6.18067 | + | 5.18620i | 0.678417 | + | 0.569259i | 0.915543 | − | 0.402220i | \(-0.131761\pi\) |
−0.237127 | + | 0.971479i | \(0.576206\pi\) | |||||||
\(84\) | 9.16513 | − | 0.0217131i | 0.999997 | − | 0.00236909i | ||||
\(85\) | 1.42762 | + | 8.09646i | 0.154848 | + | 0.878184i | ||||
\(86\) | −2.25808 | − | 12.8040i | −0.243495 | − | 1.38069i | ||||
\(87\) | −11.0908 | + | 4.67403i | −1.18906 | + | 0.501109i | ||||
\(88\) | −6.64560 | + | 7.92136i | −0.708423 | + | 0.844420i | ||||
\(89\) | − | 10.5994i | − | 1.12354i | −0.827294 | − | 0.561769i | \(-0.810121\pi\) | ||
0.827294 | − | 0.561769i | \(-0.189879\pi\) | |||||||
\(90\) | −3.81946 | − | 5.31414i | −0.402606 | − | 0.560160i | ||||
\(91\) | −0.252031 | + | 5.30516i | −0.0264200 | + | 0.556132i | ||||
\(92\) | −2.75732 | + | 1.00377i | −0.287470 | + | 0.104650i | ||||
\(93\) | 5.81702 | − | 5.39647i | 0.603197 | − | 0.559588i | ||||
\(94\) | −9.49298 | + | 1.67416i | −0.979126 | + | 0.172677i | ||||
\(95\) | 0.628026 | + | 3.56171i | 0.0644341 | + | 0.365424i | ||||
\(96\) | 2.18086 | + | 9.55217i | 0.222583 | + | 0.974914i | ||||
\(97\) | 12.4329 | − | 4.52522i | 1.26237 | − | 0.459467i | 0.377809 | − | 0.925883i | \(-0.376678\pi\) |
0.884565 | + | 0.466417i | \(0.154455\pi\) | |||||||
\(98\) | −0.938173 | + | 9.85494i | −0.0947697 | + | 0.995499i | ||||
\(99\) | 9.88178 | − | 4.75671i | 0.993156 | − | 0.478068i | ||||
\(100\) | −5.24129 | 0.000313786i | −0.524129 | 3.13786e-5i | ||||||
\(101\) | 0.627233 | − | 0.747508i | 0.0624121 | − | 0.0743798i | −0.733935 | − | 0.679220i | \(-0.762318\pi\) |
0.796347 | + | 0.604840i | \(0.206763\pi\) | |||||||
\(102\) | −7.88349 | + | 10.4064i | −0.780582 | + | 1.03039i | ||||
\(103\) | 7.63198 | − | 1.34572i | 0.752001 | − | 0.132598i | 0.215507 | − | 0.976502i | \(-0.430860\pi\) |
0.536494 | + | 0.843904i | \(0.319748\pi\) | |||||||
\(104\) | −5.59150 | + | 0.986451i | −0.548292 | + | 0.0967295i | ||||
\(105\) | 6.11349 | − | 3.54847i | 0.596615 | − | 0.346296i | ||||
\(106\) | −4.01137 | − | 3.36573i | −0.389618 | − | 0.326909i | ||||
\(107\) | −6.31120 | − | 10.9313i | −0.610127 | − | 1.05677i | −0.991219 | − | 0.132234i | \(-0.957785\pi\) |
0.381091 | − | 0.924537i | \(-0.375548\pi\) | |||||||
\(108\) | 2.06122 | − | 10.1858i | 0.198341 | − | 0.980133i | ||||
\(109\) | −2.57137 | + | 4.45374i | −0.246292 | + | 0.426591i | −0.962494 | − | 0.271302i | \(-0.912546\pi\) |
0.716202 | + | 0.697893i | \(0.245879\pi\) | |||||||
\(110\) | −1.38455 | + | 7.85355i | −0.132012 | + | 0.748807i | ||||
\(111\) | 8.35422 | − | 5.39471i | 0.792948 | − | 0.512043i | ||||
\(112\) | −10.4975 | + | 1.34234i | −0.991923 | + | 0.126839i | ||||
\(113\) | −2.47179 | + | 6.79120i | −0.232527 | + | 0.638862i | −0.999998 | − | 0.00222193i | \(-0.999293\pi\) |
0.767471 | + | 0.641084i | \(0.221515\pi\) | |||||||
\(114\) | −3.46803 | + | 4.57789i | −0.324810 | + | 0.428759i | ||||
\(115\) | −1.45471 | + | 1.73366i | −0.135653 | + | 0.161665i | ||||
\(116\) | 12.0350 | − | 6.94940i | 1.11743 | − | 0.645235i | ||||
\(117\) | 5.83579 | + | 1.48705i | 0.539519 | + | 0.137478i | ||||
\(118\) | −14.7570 | + | 8.52052i | −1.35849 | + | 0.784378i | ||||
\(119\) | −10.3600 | − | 9.56662i | −0.949702 | − | 0.876971i | ||||
\(120\) | 5.13991 | + | 5.53947i | 0.469208 | + | 0.505682i | ||||
\(121\) | −2.22142 | − | 0.808532i | −0.201948 | − | 0.0735029i | ||||
\(122\) | −14.2859 | + | 2.51943i | −1.29338 | + | 0.228099i | ||||
\(123\) | −1.78339 | − | 7.81664i | −0.160803 | − | 0.704803i | ||||
\(124\) | −5.88894 | + | 7.01902i | −0.528842 | + | 0.630326i | ||||
\(125\) | −10.1801 | + | 5.87748i | −0.910536 | + | 0.525698i | ||||
\(126\) | 10.7337 | + | 3.28445i | 0.956234 | + | 0.292602i | ||||
\(127\) | 1.82804 | + | 1.05542i | 0.162212 | + | 0.0936532i | 0.578909 | − | 0.815392i | \(-0.303479\pi\) |
−0.416696 | + | 0.909046i | \(0.636812\pi\) | |||||||
\(128\) | −3.87174 | − | 10.6306i | −0.342217 | − | 0.939621i | ||||
\(129\) | 1.98136 | − | 15.7998i | 0.174449 | − | 1.39110i | ||||
\(130\) | −3.35449 | + | 2.81492i | −0.294208 | + | 0.246885i | ||||
\(131\) | −13.6956 | + | 11.4920i | −1.19659 | + | 1.00406i | −0.196870 | + | 0.980430i | \(0.563078\pi\) |
−0.999721 | + | 0.0236294i | \(0.992478\pi\) | |||||||
\(132\) | −10.6380 | + | 6.87033i | −0.925916 | + | 0.597986i | ||||
\(133\) | −4.55748 | − | 4.20845i | −0.395184 | − | 0.364919i | ||||
\(134\) | 6.05029 | 0.000181110i | 0.522666 | 1.56455e-5i | ||||||
\(135\) | −2.55075 | − | 7.59843i | −0.219534 | − | 0.653969i | ||||
\(136\) | 7.53636 | − | 13.0561i | 0.646238 | − | 1.11955i | ||||
\(137\) | −6.16417 | − | 16.9359i | −0.526641 | − | 1.44693i | −0.863002 | − | 0.505201i | \(-0.831418\pi\) |
0.336361 | − | 0.941733i | \(-0.390804\pi\) | |||||||
\(138\) | −3.58936 | + | 0.178935i | −0.305547 | + | 0.0152319i | ||||
\(139\) | 19.4383 | − | 3.42749i | 1.64873 | − | 0.290716i | 0.729367 | − | 0.684122i | \(-0.239814\pi\) |
0.919365 | + | 0.393406i | \(0.128703\pi\) | |||||||
\(140\) | −6.49425 | + | 4.94435i | −0.548865 | + | 0.417874i | ||||
\(141\) | −11.7141 | − | 1.46900i | −0.986509 | − | 0.123712i | ||||
\(142\) | −7.84246 | − | 21.5450i | −0.658125 | − | 1.80801i | ||||
\(143\) | −3.66925 | − | 6.35533i | −0.306838 | − | 0.531459i | ||||
\(144\) | −0.897393 | + | 11.9664i | −0.0747827 | + | 0.997200i | ||||
\(145\) | 5.35922 | − | 9.28244i | 0.445059 | − | 0.770865i | ||||
\(146\) | −6.42744 | − | 17.6576i | −0.531939 | − | 1.46135i | ||||
\(147\) | −4.65691 | + | 11.1943i | −0.384095 | + | 0.923293i | ||||
\(148\) | −8.79611 | + | 7.38171i | −0.723036 | + | 0.606773i | ||||
\(149\) | −3.32585 | + | 9.13770i | −0.272464 | + | 0.748590i | 0.725699 | + | 0.688012i | \(0.241516\pi\) |
−0.998163 | + | 0.0605776i | \(0.980706\pi\) | |||||||
\(150\) | −6.13395 | − | 1.89245i | −0.500835 | − | 0.154518i | ||||
\(151\) | −2.29245 | − | 0.404221i | −0.186557 | − | 0.0328950i | 0.0795890 | − | 0.996828i | \(-0.474639\pi\) |
−0.266146 | + | 0.963933i | \(0.585750\pi\) | |||||||
\(152\) | 3.31532 | − | 5.74349i | 0.268908 | − | 0.465859i | ||||
\(153\) | −12.9841 | + | 9.33154i | −1.04970 | + | 0.754410i | ||||
\(154\) | −6.26969 | − | 12.1568i | −0.505226 | − | 0.979620i | ||||
\(155\) | −1.22707 | + | 6.95907i | −0.0985608 | + | 0.558966i | ||||
\(156\) | −6.89993 | − | 0.864858i | −0.552437 | − | 0.0692441i | ||||
\(157\) | −10.7865 | + | 9.05092i | −0.860854 | + | 0.722342i | −0.962152 | − | 0.272514i | \(-0.912145\pi\) |
0.101298 | + | 0.994856i | \(0.467701\pi\) | |||||||
\(158\) | 3.86576 | + | 1.40689i | 0.307544 | + | 0.111926i | ||||
\(159\) | −3.47898 | − | 5.38753i | −0.275901 | − | 0.427259i | ||||
\(160\) | −6.68518 | − | 5.60782i | −0.528510 | − | 0.443337i | ||||
\(161\) | 0.184202 | − | 3.87739i | 0.0145172 | − | 0.305582i | ||||
\(162\) | 6.09070 | − | 11.1760i | 0.478531 | − | 0.878071i | ||||
\(163\) | 9.04769 | − | 5.22369i | 0.708670 | − | 0.409151i | −0.101899 | − | 0.994795i | \(-0.532492\pi\) |
0.810568 | + | 0.585644i | \(0.199158\pi\) | |||||||
\(164\) | 3.16688 | + | 8.69931i | 0.247292 | + | 0.679302i | ||||
\(165\) | −4.45653 | + | 8.69093i | −0.346940 | + | 0.676588i | ||||
\(166\) | −7.33465 | − | 8.74057i | −0.569280 | − | 0.678400i | ||||
\(167\) | 6.08606 | + | 2.21515i | 0.470954 | + | 0.171413i | 0.566584 | − | 0.824004i | \(-0.308265\pi\) |
−0.0956306 | + | 0.995417i | \(0.530487\pi\) | |||||||
\(168\) | −12.7699 | − | 2.22011i | −0.985222 | − | 0.171285i | ||||
\(169\) | −1.55767 | + | 8.83397i | −0.119821 | + | 0.679536i | ||||
\(170\) | −0.000348036 | − | 11.6268i | −2.66931e−5 | − | 0.891732i | ||||
\(171\) | −5.71184 | + | 4.10504i | −0.436795 | + | 0.313920i | ||||
\(172\) | 0.00110079 | + | 18.3870i | 8.39346e−5 | + | 1.40199i | ||||
\(173\) | −4.03585 | + | 4.80974i | −0.306840 | + | 0.365678i | −0.897325 | − | 0.441371i | \(-0.854492\pi\) |
0.590485 | + | 0.807049i | \(0.298937\pi\) | |||||||
\(174\) | 16.5942 | − | 3.78653i | 1.25800 | − | 0.287056i | ||||
\(175\) | 2.67793 | − | 6.39556i | 0.202433 | − | 0.483459i | ||||
\(176\) | 11.2005 | − | 9.40064i | 0.844271 | − | 0.708600i | ||||
\(177\) | −20.3470 | + | 4.64222i | −1.52937 | + | 0.348931i | ||||
\(178\) | −2.60252 | + | 14.7622i | −0.195067 | + | 1.10647i | ||||
\(179\) | −2.66265 | −0.199016 | −0.0995079 | − | 0.995037i | \(-0.531727\pi\) | ||||
−0.0995079 | + | 0.995037i | \(0.531727\pi\) | |||||||
\(180\) | 4.01469 | + | 8.33900i | 0.299238 | + | 0.621552i | ||||
\(181\) | 2.96952 | − | 5.14337i | 0.220723 | − | 0.382304i | −0.734305 | − | 0.678820i | \(-0.762492\pi\) |
0.955028 | + | 0.296516i | \(0.0958250\pi\) | |||||||
\(182\) | 1.65361 | − | 7.32681i | 0.122574 | − | 0.543099i | ||||
\(183\) | −17.6285 | − | 2.21068i | −1.30314 | − | 0.163419i | ||||
\(184\) | 4.08668 | − | 0.720969i | 0.301274 | − | 0.0531506i | ||||
\(185\) | −3.02907 | + | 8.32231i | −0.222702 | + | 0.611868i | ||||
\(186\) | −9.42659 | + | 6.08759i | −0.691191 | + | 0.446363i | ||||
\(187\) | 19.1882 | + | 3.38339i | 1.40318 | + | 0.247418i | ||||
\(188\) | 13.6323 | 0.000816138i | 0.994236 | 5.95230e-5i | ||||||
\(189\) | 11.3754 | + | 7.72008i | 0.827441 | + | 0.561553i | ||||
\(190\) | −0.000153104 | − | 5.11473i | −1.11074e−5 | − | 0.371061i | ||||
\(191\) | −1.93065 | + | 10.9492i | −0.139697 | + | 0.792259i | 0.831777 | + | 0.555110i | \(0.187324\pi\) |
−0.971473 | + | 0.237149i | \(0.923787\pi\) | |||||||
\(192\) | −0.691977 | − | 13.8391i | −0.0499391 | − | 0.998752i | ||||
\(193\) | −20.3336 | − | 7.40083i | −1.46364 | − | 0.532723i | −0.517278 | − | 0.855817i | \(-0.673055\pi\) |
−0.946367 | + | 0.323094i | \(0.895277\pi\) | |||||||
\(194\) | −18.4269 | + | 3.24973i | −1.32297 | + | 0.233317i | ||||
\(195\) | −4.94230 | + | 2.08285i | −0.353925 | + | 0.149156i | ||||
\(196\) | 3.72635 | − | 13.4950i | 0.266168 | − | 0.963927i | ||||
\(197\) | −22.7248 | − | 13.1202i | −1.61908 | − | 0.934775i | −0.987159 | − | 0.159739i | \(-0.948935\pi\) |
−0.631918 | − | 0.775035i | \(-0.717732\pi\) | |||||||
\(198\) | −14.9306 | + | 4.19853i | −1.06107 | + | 0.298377i | ||||
\(199\) | 6.44268i | 0.456709i | 0.973578 | + | 0.228355i | \(0.0733346\pi\) | ||||
−0.973578 | + | 0.228355i | \(0.926665\pi\) | |||||||
\(200\) | 7.29982 | + | 1.28648i | 0.516175 | + | 0.0909678i | ||||
\(201\) | 7.08067 | + | 2.18477i | 0.499432 | + | 0.154101i | ||||
\(202\) | −1.05711 | + | 0.887074i | −0.0743779 | + | 0.0624143i | ||||
\(203\) | 2.32968 | + | 18.2363i | 0.163512 | + | 1.27993i | ||||
\(204\) | 13.5347 | − | 12.5577i | 0.947622 | − | 0.879218i | ||||
\(205\) | 5.46968 | + | 4.58961i | 0.382019 | + | 0.320552i | ||||
\(206\) | −10.9597 | 0.000328069i | −0.763602 | 2.28577e-5i | ||||||
\(207\) | −4.26522 | − | 1.08684i | −0.296453 | − | 0.0755407i | ||||
\(208\) | 8.02970 | 0.000961445i | 0.556759 | 6.66642e-5i | ||||||
\(209\) | 8.44107 | + | 1.48839i | 0.583881 | + | 0.102954i | ||||
\(210\) | −9.38575 | + | 3.44102i | −0.647678 | + | 0.237453i | ||||
\(211\) | −2.88953 | + | 7.93891i | −0.198923 | + | 0.546537i | −0.998543 | − | 0.0539702i | \(-0.982812\pi\) |
0.799619 | + | 0.600507i | \(0.205035\pi\) | |||||||
\(212\) | 4.76037 | + | 5.67250i | 0.326944 | + | 0.389589i | ||||
\(213\) | −1.39730 | − | 28.0461i | −0.0957412 | − | 1.92169i | ||||
\(214\) | 6.10583 | + | 16.7741i | 0.417386 | + | 1.14665i | ||||
\(215\) | 7.09054 | + | 12.2812i | 0.483571 | + | 0.837570i | ||||
\(216\) | −5.37171 | + | 13.6801i | −0.365498 | + | 0.930812i | ||||
\(217\) | −5.55531 | − | 10.7724i | −0.377119 | − | 0.731278i | ||||
\(218\) | 4.67478 | − | 5.57152i | 0.316616 | − | 0.377351i | ||||
\(219\) | −1.14518 | − | 22.9857i | −0.0773842 | − | 1.55323i | ||||
\(220\) | 3.85663 | − | 10.5980i | 0.260014 | − | 0.714515i | ||||
\(221\) | 6.87734 | + | 8.19610i | 0.462620 | + | 0.551329i | ||||
\(222\) | −12.9598 | + | 5.46216i | −0.869805 | + | 0.366596i | ||||
\(223\) | 11.1971 | + | 1.97434i | 0.749810 | + | 0.132212i | 0.535478 | − | 0.844549i | \(-0.320131\pi\) |
0.214332 | + | 0.976761i | \(0.431243\pi\) | |||||||
\(224\) | 14.9499 | + | 0.707977i | 0.998881 | + | 0.0473037i | ||||
\(225\) | −6.49508 | − | 4.42991i | −0.433005 | − | 0.295327i | ||||
\(226\) | 5.11002 | − | 8.85143i | 0.339914 | − | 0.588789i | ||||
\(227\) | −4.03055 | + | 22.8584i | −0.267517 | + | 1.51716i | 0.494254 | + | 0.869318i | \(0.335441\pi\) |
−0.761771 | + | 0.647847i | \(0.775670\pi\) | |||||||
\(228\) | 5.95407 | − | 5.52428i | 0.394318 | − | 0.365854i | ||||
\(229\) | −23.1536 | − | 8.42721i | −1.53003 | − | 0.556886i | −0.566402 | − | 0.824129i | \(-0.691665\pi\) |
−0.963629 | + | 0.267244i | \(0.913887\pi\) | |||||||
\(230\) | 2.45170 | − | 2.05735i | 0.161661 | − | 0.135658i | ||||
\(231\) | −2.94712 | − | 16.4912i | −0.193906 | − | 1.08504i | ||||
\(232\) | −18.4679 | + | 6.72366i | −1.21248 | + | 0.441430i | ||||
\(233\) | −0.235071 | − | 0.135718i | −0.0154000 | − | 0.00889119i | 0.492280 | − | 0.870437i | \(-0.336164\pi\) |
−0.507680 | + | 0.861546i | \(0.669497\pi\) | |||||||
\(234\) | −7.76259 | − | 3.50395i | −0.507457 | − | 0.229060i | ||||
\(235\) | 9.10539 | − | 5.25700i | 0.593970 | − | 0.342929i | ||||
\(236\) | 22.6446 | − | 8.24350i | 1.47404 | − | 0.536606i | ||||
\(237\) | 4.01599 | + | 3.04254i | 0.260867 | + | 0.197634i | ||||
\(238\) | 12.0799 | + | 15.8675i | 0.783021 | + | 1.02854i | ||||
\(239\) | −0.0408471 | − | 0.231656i | −0.00264218 | − | 0.0149846i | 0.983458 | − | 0.181135i | \(-0.0579772\pi\) |
−0.986100 | + | 0.166151i | \(0.946866\pi\) | |||||||
\(240\) | −5.79842 | − | 8.97704i | −0.374286 | − | 0.579466i | ||||
\(241\) | 10.6143 | − | 3.86329i | 0.683727 | − | 0.248856i | 0.0232803 | − | 0.999729i | \(-0.492589\pi\) |
0.660447 | + | 0.750873i | \(0.270367\pi\) | |||||||
\(242\) | 2.89533 | + | 1.67151i | 0.186119 | + | 0.107449i | ||||
\(243\) | 11.1640 | − | 10.8796i | 0.716168 | − | 0.697928i | ||||
\(244\) | 20.5151 | − | 0.00122820i | 1.31334 | − | 7.86274e-5i | ||||
\(245\) | −2.71449 | − | 10.4508i | −0.173422 | − | 0.667679i | ||||
\(246\) | 0.564538 | + | 11.3244i | 0.0359936 | + | 0.722017i | ||||
\(247\) | 3.02541 | + | 3.60555i | 0.192502 | + | 0.229415i | ||||
\(248\) | 9.92514 | − | 8.32970i | 0.630247 | − | 0.528937i | ||||
\(249\) | −5.42715 | − | 12.8778i | −0.343931 | − | 0.816098i | ||||
\(250\) | 15.6213 | − | 5.68622i | 0.987978 | − | 0.359628i | ||||
\(251\) | −2.48431 | + | 4.30295i | −0.156808 | + | 0.271600i | −0.933716 | − | 0.358015i | \(-0.883454\pi\) |
0.776908 | + | 0.629614i | \(0.216787\pi\) | |||||||
\(252\) | −14.1428 | − | 7.20985i | −0.890911 | − | 0.454178i | ||||
\(253\) | 2.68175 | + | 4.64493i | 0.168600 | + | 0.292024i | ||||
\(254\) | −2.28683 | − | 1.91876i | −0.143489 | − | 0.120394i | ||||
\(255\) | 4.19843 | − | 13.6068i | 0.262916 | − | 0.852092i | ||||
\(256\) | 2.78214 | + | 15.7563i | 0.173884 | + | 0.984766i | ||||
\(257\) | −1.97613 | + | 5.42938i | −0.123268 | + | 0.338676i | −0.985943 | − | 0.167083i | \(-0.946565\pi\) |
0.862675 | + | 0.505759i | \(0.168787\pi\) | |||||||
\(258\) | −6.63891 | + | 21.5185i | −0.413320 | + | 1.33968i | ||||
\(259\) | −4.51229 | − | 14.5050i | −0.280380 | − | 0.901299i | ||||
\(260\) | 5.36308 | − | 3.09680i | 0.332604 | − | 0.192056i | ||||
\(261\) | 20.7875 | + | 1.56141i | 1.28671 | + | 0.0966490i | ||||
\(262\) | 21.8960 | − | 12.6426i | 1.35274 | − | 0.781060i | ||||
\(263\) | −10.2591 | − | 8.60842i | −0.632604 | − | 0.530818i | 0.269133 | − | 0.963103i | \(-0.413263\pi\) |
−0.901737 | + | 0.432285i | \(0.857707\pi\) | |||||||
\(264\) | 16.5028 | − | 6.95657i | 1.01568 | − | 0.428148i | ||||
\(265\) | 5.36695 | + | 1.95341i | 0.329689 | + | 0.119997i | ||||
\(266\) | 5.31405 | + | 6.98028i | 0.325825 | + | 0.427988i | ||||
\(267\) | −8.37687 | + | 16.3362i | −0.512656 | + | 0.999761i | ||||
\(268\) | −8.42650 | − | 1.48530i | −0.514730 | − | 0.0907291i | ||||
\(269\) | −2.02804 | − | 1.17089i | −0.123652 | − | 0.0713903i | 0.436898 | − | 0.899511i | \(-0.356077\pi\) |
−0.560550 | + | 0.828121i | \(0.689410\pi\) | |||||||
\(270\) | 1.68685 | + | 11.2089i | 0.102658 | + | 0.682152i | ||||
\(271\) | −14.0292 | + | 8.09975i | −0.852212 | + | 0.492025i | −0.861397 | − | 0.507933i | \(-0.830410\pi\) |
0.00918441 | + | 0.999958i | \(0.497076\pi\) | |||||||
\(272\) | −13.7019 | + | 16.3332i | −0.830798 | + | 0.990347i | ||||
\(273\) | 4.58118 | − | 7.97732i | 0.277265 | − | 0.482809i | ||||
\(274\) | 4.42672 | + | 25.1008i | 0.267428 | + | 1.51639i | ||||
\(275\) | 1.66359 | + | 9.43470i | 0.100318 | + | 0.568934i | ||||
\(276\) | 5.04297 | + | 0.632101i | 0.303551 | + | 0.0380480i | ||||
\(277\) | 12.3499 | + | 10.3628i | 0.742033 | + | 0.622639i | 0.933383 | − | 0.358882i | \(-0.116842\pi\) |
−0.191350 | + | 0.981522i | \(0.561287\pi\) | |||||||
\(278\) | −27.9139 | 0.000835577i | −1.67417 | 5.01146e-5i | ||||||
\(279\) | −13.2303 | + | 3.71997i | −0.792077 | + | 0.222709i | ||||
\(280\) | 10.2588 | − | 5.29161i | 0.613080 | − | 0.316234i | ||||
\(281\) | −0.459055 | − | 1.26124i | −0.0273850 | − | 0.0752395i | 0.925247 | − | 0.379366i | \(-0.123858\pi\) |
−0.952632 | + | 0.304126i | \(0.901636\pi\) | |||||||
\(282\) | 15.9540 | + | 4.92215i | 0.950048 | + | 0.293110i | ||||
\(283\) | 16.5451 | − | 2.91734i | 0.983503 | − | 0.173418i | 0.341301 | − | 0.939954i | \(-0.389132\pi\) |
0.642202 | + | 0.766536i | \(0.278021\pi\) | |||||||
\(284\) | 5.63245 | + | 31.9320i | 0.334225 | + | 1.89482i | ||||
\(285\) | 1.84693 | − | 5.98577i | 0.109403 | − | 0.354567i | ||||
\(286\) | 3.54985 | + | 9.75221i | 0.209907 | + | 0.576661i | ||||
\(287\) | −12.2331 | − | 0.581157i | −0.722100 | − | 0.0343046i | ||||
\(288\) | 4.18799 | − | 16.4457i | 0.246780 | − | 0.969072i | ||||
\(289\) | −11.4072 | −0.671012 | ||||||||
\(290\) | −9.74313 | + | 11.6121i | −0.572136 | + | 0.681887i | ||||
\(291\) | −22.7384 | − | 2.85149i | −1.33295 | − | 0.167157i | ||||
\(292\) | 4.61619 | + | 26.1705i | 0.270142 | + | 1.53152i | ||||
\(293\) | 8.94272 | − | 1.57684i | 0.522439 | − | 0.0921202i | 0.0937916 | − | 0.995592i | \(-0.470101\pi\) |
0.428648 | + | 0.903472i | \(0.358990\pi\) | |||||||
\(294\) | 9.23443 | − | 14.4473i | 0.538563 | − | 0.842585i | ||||
\(295\) | 11.9469 | − | 14.2378i | 0.695576 | − | 0.828955i | ||||
\(296\) | 14.0631 | − | 8.12103i | 0.817402 | − | 0.472025i | ||||
\(297\) | −18.9894 | − | 0.478485i | −1.10188 | − | 0.0277645i | ||||
\(298\) | 6.87565 | − | 11.9098i | 0.398296 | − | 0.689916i | ||||
\(299\) | −0.511434 | + | 2.90049i | −0.0295770 | + | 0.167740i | ||||
\(300\) | 8.07831 | + | 4.14178i | 0.466402 | + | 0.239126i | ||||
\(301\) | −22.4363 | − | 9.39444i | −1.29320 | − | 0.541487i | ||||
\(302\) | 3.09353 | + | 1.12585i | 0.178013 | + | 0.0647852i | ||||
\(303\) | −1.55748 | + | 0.656374i | −0.0894748 | + | 0.0377077i | ||||
\(304\) | −6.02759 | + | 7.18515i | −0.345706 | + | 0.412096i | ||||
\(305\) | 13.7026 | − | 7.91121i | 0.784610 | − | 0.452995i | ||||
\(306\) | 20.3746 | − | 9.80833i | 1.16474 | − | 0.560705i | ||||
\(307\) | 1.55089 | − | 0.895405i | 0.0885138 | − | 0.0511035i | −0.455090 | − | 0.890446i | \(-0.650393\pi\) |
0.543604 | + | 0.839342i | \(0.317060\pi\) | |||||||
\(308\) | 5.74712 | + | 18.4706i | 0.327473 | + | 1.05246i | ||||
\(309\) | −12.8262 | − | 3.95757i | −0.729658 | − | 0.225139i | ||||
\(310\) | 3.41768 | − | 9.39086i | 0.194111 | − | 0.533365i | ||||
\(311\) | −1.29719 | − | 7.35675i | −0.0735571 | − | 0.417163i | −0.999244 | − | 0.0388727i | \(-0.987623\pi\) |
0.925687 | − | 0.378290i | \(-0.123488\pi\) | |||||||
\(312\) | 9.39743 | + | 2.89869i | 0.532025 | + | 0.164106i | ||||
\(313\) | −14.2473 | − | 11.9549i | −0.805304 | − | 0.675730i | 0.144178 | − | 0.989552i | \(-0.453946\pi\) |
−0.949482 | + | 0.313822i | \(0.898391\pi\) | |||||||
\(314\) | 17.2450 | − | 9.95710i | 0.973192 | − | 0.561912i | ||||
\(315\) | −12.2267 | + | 0.637461i | −0.688898 | + | 0.0359169i | ||||
\(316\) | −5.03855 | − | 2.90861i | −0.283441 | − | 0.163622i | ||||
\(317\) | −5.65109 | − | 15.5262i | −0.317397 | − | 0.872041i | −0.991110 | − | 0.133047i | \(-0.957524\pi\) |
0.673713 | − | 0.738993i | \(-0.264698\pi\) | |||||||
\(318\) | 3.52248 | + | 8.35762i | 0.197531 | + | 0.468672i | ||||
\(319\) | −16.3282 | − | 19.4592i | −0.914202 | − | 1.08950i | ||||
\(320\) | 7.93377 | + | 9.45166i | 0.443511 | + | 0.528364i | ||||
\(321\) | 1.08788 | + | 21.8356i | 0.0607195 | + | 1.21874i | ||||
\(322\) | −1.20858 | + | 5.35496i | −0.0673514 | + | 0.298420i | ||||
\(323\) | −12.4966 | −0.695330 | ||||||||
\(324\) | −11.2268 | + | 14.0698i | −0.623713 | + | 0.781654i | ||||
\(325\) | −2.63037 | + | 4.55594i | −0.145907 | + | 0.252718i | ||||
\(326\) | −13.8836 | + | 5.05370i | −0.768943 | + | 0.279899i | ||||
\(327\) | 7.48293 | − | 4.83207i | 0.413807 | − | 0.267214i | ||||
\(328\) | −2.27465 | − | 12.8934i | −0.125597 | − | 0.711920i | ||||
\(329\) | −6.96513 | + | 16.6345i | −0.384000 | + | 0.917087i | ||||
\(330\) | 8.34068 | − | 11.0099i | 0.459140 | − | 0.606077i | ||||
\(331\) | −5.58654 | − | 15.3489i | −0.307064 | − | 0.843651i | −0.993226 | − | 0.116202i | \(-0.962928\pi\) |
0.686162 | − | 0.727449i | \(-0.259294\pi\) | |||||||
\(332\) | 8.06913 | + | 13.9742i | 0.442851 | + | 0.766934i | ||||
\(333\) | −17.1393 | + | 1.71206i | −0.939229 | + | 0.0938204i | ||||
\(334\) | −7.93238 | − | 4.57945i | −0.434041 | − | 0.250576i | ||||
\(335\) | −6.20121 | + | 2.25706i | −0.338808 | + | 0.123316i | ||||
\(336\) | 17.2400 | + | 6.22748i | 0.940521 | + | 0.339737i | ||||
\(337\) | 16.1533 | − | 13.5542i | 0.879927 | − | 0.738346i | −0.0862372 | − | 0.996275i | \(-0.527484\pi\) |
0.966164 | + | 0.257928i | \(0.0830398\pi\) | |||||||
\(338\) | 4.33846 | − | 11.9209i | 0.235981 | − | 0.648413i | ||||
\(339\) | 9.17679 | − | 8.51334i | 0.498415 | − | 0.462381i | ||||
\(340\) | −2.85428 | + | 16.1931i | −0.154795 | + | 0.878194i | ||||
\(341\) | 14.5034 | + | 8.37353i | 0.785402 | + | 0.453452i | ||||
\(342\) | 8.96301 | − | 4.31478i | 0.484664 | − | 0.233317i | ||||
\(343\) | 14.5623 | + | 11.4428i | 0.786292 | + | 0.617855i | ||||
\(344\) | 4.51309 | − | 25.6085i | 0.243330 | − | 1.38072i | ||||
\(345\) | 3.61219 | − | 1.52230i | 0.194474 | − | 0.0819578i | ||||
\(346\) | 6.80183 | − | 5.70776i | 0.365668 | − | 0.306851i | ||||
\(347\) | −3.63745 | − | 1.32392i | −0.195268 | − | 0.0710719i | 0.242535 | − | 0.970143i | \(-0.422021\pi\) |
−0.437803 | + | 0.899071i | \(0.644243\pi\) | |||||||
\(348\) | −24.0410 | + | 1.19920i | −1.28873 | + | 0.0642840i | ||||
\(349\) | 7.29273 | + | 6.11933i | 0.390371 | + | 0.327560i | 0.816758 | − | 0.576981i | \(-0.195769\pi\) |
−0.426387 | + | 0.904541i | \(0.640214\pi\) | |||||||
\(350\) | −5.29998 | + | 8.24981i | −0.283296 | + | 0.440971i | ||||
\(351\) | −7.81909 | − | 6.90399i | −0.417352 | − | 0.368508i | ||||
\(352\) | −17.9075 | + | 10.3425i | −0.954476 | + | 0.551257i | ||||
\(353\) | −8.44951 | − | 23.2148i | −0.449722 | − | 1.23560i | −0.932918 | − | 0.360089i | \(-0.882746\pi\) |
0.483196 | − | 0.875512i | \(-0.339476\pi\) | |||||||
\(354\) | 29.4778 | − | 1.46951i | 1.56673 | − | 0.0781037i | ||||
\(355\) | 16.0748 | + | 19.1573i | 0.853164 | + | 1.01676i | ||||
\(356\) | 7.24925 | − | 19.9209i | 0.384209 | − | 1.05580i | ||||
\(357\) | 8.40661 | + | 22.9321i | 0.444925 | + | 1.21369i | ||||
\(358\) | 3.70837 | + | 0.653771i | 0.195993 | + | 0.0345529i | ||||
\(359\) | 17.0212 | 0.898345 | 0.449172 | − | 0.893445i | \(-0.351719\pi\) | ||||
0.449172 | + | 0.893445i | \(0.351719\pi\) | |||||||
\(360\) | −3.54390 | − | 12.5998i | −0.186780 | − | 0.664066i | ||||
\(361\) | 13.5026 | 0.710664 | ||||||||
\(362\) | −5.39863 | + | 6.43423i | −0.283746 | + | 0.338176i | ||||
\(363\) | 2.78474 | + | 3.00176i | 0.146161 | + | 0.157551i | ||||
\(364\) | −4.10202 | + | 9.79829i | −0.215004 | + | 0.513570i | ||||
\(365\) | 13.1745 | + | 15.7007i | 0.689583 | + | 0.821813i | ||||
\(366\) | 24.0091 | + | 7.40730i | 1.25497 | + | 0.387186i | ||||
\(367\) | −0.592258 | − | 0.104431i | −0.0309156 | − | 0.00545125i | 0.158169 | − | 0.987412i | \(-0.449441\pi\) |
−0.189085 | + | 0.981961i | \(0.560552\pi\) | |||||||
\(368\) | −5.86868 | 0.000702693i | −0.305926 | 3.66304e-5i | ||||||
\(369\) | −3.42897 | + | 13.4567i | −0.178505 | + | 0.700529i | ||||
\(370\) | 6.26211 | − | 10.8470i | 0.325551 | − | 0.563910i | ||||
\(371\) | −9.35412 | + | 2.90992i | −0.485642 | + | 0.151076i | ||||
\(372\) | 14.6235 | − | 6.16385i | 0.758191 | − | 0.319581i | ||||
\(373\) | 2.46412 | + | 13.9747i | 0.127587 | + | 0.723582i | 0.979738 | + | 0.200286i | \(0.0641870\pi\) |
−0.852150 | + | 0.523297i | \(0.824702\pi\) | |||||||
\(374\) | −25.8933 | − | 9.42352i | −1.33891 | − | 0.487279i | ||||
\(375\) | 20.3350 | − | 1.01312i | 1.05009 | − | 0.0523172i | ||||
\(376\) | −18.9864 | − | 3.34605i | −0.979147 | − | 0.172559i | ||||
\(377\) | − | 13.9489i | − | 0.718407i | ||||||
\(378\) | −13.9474 | − | 13.5451i | −0.717378 | − | 0.696684i | ||||
\(379\) | − | 24.4228i | − | 1.25451i | −0.778812 | − | 0.627257i | \(-0.784177\pi\) | ||
0.778812 | − | 0.627257i | \(-0.215823\pi\) | |||||||
\(380\) | −1.25563 | + | 7.12350i | −0.0644122 | + | 0.365428i | ||||
\(381\) | −1.98333 | − | 3.07137i | −0.101609 | − | 0.157351i | ||||
\(382\) | 5.37729 | − | 14.7754i | 0.275126 | − | 0.755973i | ||||
\(383\) | −2.93891 | − | 16.6674i | −0.150171 | − | 0.851663i | −0.963069 | − | 0.269256i | \(-0.913222\pi\) |
0.812897 | − | 0.582407i | \(-0.197889\pi\) | |||||||
\(384\) | −2.43423 | + | 19.4441i | −0.124221 | + | 0.992255i | ||||
\(385\) | 10.9608 | + | 10.1214i | 0.558617 | + | 0.515836i | ||||
\(386\) | 26.5022 | + | 15.3000i | 1.34893 | + | 0.778749i | ||||
\(387\) | −15.5406 | + | 22.7854i | −0.789971 | + | 1.15824i | ||||
\(388\) | 26.4617 | − | 0.00158421i | 1.34339 | − | 8.04262e-5i | ||||
\(389\) | 13.5604 | + | 2.39107i | 0.687541 | + | 0.121232i | 0.506496 | − | 0.862243i | \(-0.330941\pi\) |
0.181046 | + | 0.983475i | \(0.442052\pi\) | |||||||
\(390\) | 7.39473 | − | 1.68736i | 0.374447 | − | 0.0854428i | ||||
\(391\) | −5.02646 | − | 5.99030i | −0.254199 | − | 0.302943i | ||||
\(392\) | −8.50329 | + | 17.8800i | −0.429481 | + | 0.903076i | ||||
\(393\) | 30.1904 | − | 6.88802i | 1.52290 | − | 0.347455i | ||||
\(394\) | 28.4282 | + | 23.8527i | 1.43219 | + | 1.20168i | ||||
\(395\) | −4.48703 | −0.225767 | ||||||||
\(396\) | 21.8253 | − | 2.18147i | 1.09676 | − | 0.109623i | ||||
\(397\) | −21.9460 | −1.10144 | −0.550718 | − | 0.834691i | \(-0.685646\pi\) | ||||
−0.550718 | + | 0.834691i | \(0.685646\pi\) | |||||||
\(398\) | 1.58190 | − | 8.97295i | 0.0792933 | − | 0.449773i | ||||
\(399\) | 3.69815 | + | 10.0880i | 0.185139 | + | 0.505034i | ||||
\(400\) | −9.85084 | − | 3.58408i | −0.492542 | − | 0.179204i | ||||
\(401\) | −15.1684 | − | 18.0770i | −0.757474 | − | 0.902722i | 0.240212 | − | 0.970721i | \(-0.422783\pi\) |
−0.997685 | + | 0.0679984i | \(0.978339\pi\) | |||||||
\(402\) | −9.32506 | − | 4.78134i | −0.465092 | − | 0.238472i | ||||
\(403\) | 3.14529 | + | 8.64163i | 0.156678 | + | 0.430470i | ||||
\(404\) | 1.69008 | − | 0.975903i | 0.0840846 | − | 0.0485530i | ||||
\(405\) | −2.07384 | + | 13.7269i | −0.103050 | + | 0.682093i | ||||
\(406\) | 1.23299 | − | 25.9703i | 0.0611921 | − | 1.28888i | ||||
\(407\) | 16.0787 | + | 13.4916i | 0.796991 | + | 0.668755i | ||||
\(408\) | −21.9337 | + | 14.1664i | −1.08588 | + | 0.701340i | ||||
\(409\) | −11.6249 | − | 4.23113i | −0.574816 | − | 0.209216i | 0.0382219 | − | 0.999269i | \(-0.487831\pi\) |
−0.613038 | + | 0.790053i | \(0.710053\pi\) | |||||||
\(410\) | −6.49092 | − | 7.73510i | −0.320563 | − | 0.382009i | ||||
\(411\) | −3.88424 | + | 30.9739i | −0.191596 | + | 1.52783i | ||||
\(412\) | 15.2641 | + | 2.69053i | 0.752009 | + | 0.132553i | ||||
\(413\) | −1.51277 | + | 31.8433i | −0.0744386 | + | 1.56691i | ||||
\(414\) | 5.67346 | + | 2.56094i | 0.278836 | + | 0.125863i | ||||
\(415\) | 10.7781 | + | 6.22273i | 0.529076 | + | 0.305462i | ||||
\(416\) | −11.1835 | − | 1.97022i | −0.548315 | − | 0.0965982i | ||||
\(417\) | −32.6677 | − | 10.0797i | −1.59975 | − | 0.493607i | ||||
\(418\) | −11.3907 | − | 4.14550i | −0.557139 | − | 0.202763i | ||||
\(419\) | 6.42852 | − | 5.39417i | 0.314054 | − | 0.263523i | −0.472111 | − | 0.881539i | \(-0.656508\pi\) |
0.786165 | + | 0.618016i | \(0.212064\pi\) | |||||||
\(420\) | 13.9168 | − | 2.48791i | 0.679068 | − | 0.121397i | ||||
\(421\) | 29.8329 | − | 10.8583i | 1.45397 | − | 0.529201i | 0.510270 | − | 0.860014i | \(-0.329545\pi\) |
0.943696 | + | 0.330814i | \(0.107323\pi\) | |||||||
\(422\) | 5.97362 | − | 10.3473i | 0.290791 | − | 0.503700i | ||||
\(423\) | 16.8933 | + | 11.5219i | 0.821379 | + | 0.560215i | ||||
\(424\) | −5.23715 | − | 9.06913i | −0.254338 | − | 0.440436i | ||||
\(425\) | −4.77721 | − | 13.1253i | −0.231729 | − | 0.636670i | ||||
\(426\) | −4.94020 | + | 39.4039i | −0.239353 | + | 1.90912i | ||||
\(427\) | −10.4818 | + | 25.0330i | −0.507248 | + | 1.21143i | ||||
\(428\) | −4.38520 | − | 24.8610i | −0.211967 | − | 1.20170i | ||||
\(429\) | 0.632479 | + | 12.6949i | 0.0305364 | + | 0.612916i | ||||
\(430\) | −6.85981 | − | 18.8454i | −0.330809 | − | 0.908806i | ||||
\(431\) | 4.72249 | − | 8.17959i | 0.227474 | − | 0.393997i | −0.729585 | − | 0.683891i | \(-0.760287\pi\) |
0.957059 | + | 0.289894i | \(0.0936199\pi\) | |||||||
\(432\) | 10.8403 | − | 17.7338i | 0.521554 | − | 0.853218i | ||||
\(433\) | −13.7081 | −0.658771 | −0.329386 | − | 0.944196i | \(-0.606842\pi\) | ||||
−0.329386 | + | 0.944196i | \(0.606842\pi\) | |||||||
\(434\) | 5.09209 | + | 16.3671i | 0.244428 | + | 0.785647i | ||||
\(435\) | −15.5958 | + | 10.0710i | −0.747764 | + | 0.482866i | ||||
\(436\) | −7.87873 | + | 6.61184i | −0.377323 | + | 0.316650i | ||||
\(437\) | −2.21119 | − | 2.63519i | −0.105776 | − | 0.126058i | ||||
\(438\) | −4.04884 | + | 32.2942i | −0.193461 | + | 1.54308i | ||||
\(439\) | 3.06313 | + | 8.41588i | 0.146195 | + | 0.401668i | 0.991078 | − | 0.133283i | \(-0.0425520\pi\) |
−0.844883 | + | 0.534952i | \(0.820330\pi\) | |||||||
\(440\) | −7.97343 | + | 13.8132i | −0.380118 | + | 0.658521i | ||||
\(441\) | 16.0244 | − | 13.5727i | 0.763068 | − | 0.646319i | ||||
\(442\) | −7.56590 | − | 13.1036i | −0.359873 | − | 0.623276i | ||||
\(443\) | −20.8339 | − | 17.4817i | −0.989849 | − | 0.830582i | −0.00430310 | − | 0.999991i | \(-0.501370\pi\) |
−0.985546 | + | 0.169409i | \(0.945814\pi\) | |||||||
\(444\) | 19.3907 | − | 4.42527i | 0.920243 | − | 0.210014i | ||||
\(445\) | −2.83911 | − | 16.1014i | −0.134587 | − | 0.763280i | ||||
\(446\) | −15.1098 | − | 5.49899i | −0.715468 | − | 0.260385i | ||||
\(447\) | 12.3476 | − | 11.4549i | 0.584020 | − | 0.541797i | ||||
\(448\) | −20.6474 | − | 4.65673i | −0.975498 | − | 0.220010i | ||||
\(449\) | 2.66530 | − | 1.53881i | 0.125783 | − | 0.0726210i | −0.435788 | − | 0.900049i | \(-0.643530\pi\) |
0.561571 | + | 0.827428i | \(0.310197\pi\) | |||||||
\(450\) | 7.95823 | + | 7.76446i | 0.375155 | + | 0.366020i | ||||
\(451\) | 14.6547 | − | 8.46090i | 0.690063 | − | 0.398408i | ||||
\(452\) | −9.29024 | + | 11.0730i | −0.436976 | + | 0.520831i | ||||
\(453\) | 3.21374 | + | 2.43475i | 0.150995 | + | 0.114395i | ||||
\(454\) | 11.2260 | − | 30.8461i | 0.526862 | − | 1.44768i | ||||
\(455\) | 1.03816 | + | 8.12648i | 0.0486696 | + | 0.380975i | ||||
\(456\) | −9.64885 | + | 6.23193i | −0.451849 | + | 0.291837i | ||||
\(457\) | 1.35499 | − | 7.68454i | 0.0633838 | − | 0.359467i | −0.936576 | − | 0.350465i | \(-0.886023\pi\) |
0.999959 | − | 0.00900203i | \(-0.00286547\pi\) | |||||||
\(458\) | 30.1776 | + | 17.4219i | 1.41011 | + | 0.814070i | ||||
\(459\) | 27.3864 | − | 4.12059i | 1.27829 | − | 0.192333i | ||||
\(460\) | −3.91972 | + | 2.26337i | −0.182758 | + | 0.105530i | ||||
\(461\) | 1.11882 | − | 1.33335i | 0.0521085 | − | 0.0621004i | −0.739361 | − | 0.673310i | \(-0.764872\pi\) |
0.791469 | + | 0.611209i | \(0.209317\pi\) | |||||||
\(462\) | 0.0554182 | + | 23.6914i | 0.00257829 | + | 1.10223i | ||||
\(463\) | −30.1434 | + | 5.31509i | −1.40088 | + | 0.247013i | −0.822506 | − | 0.568756i | \(-0.807425\pi\) |
−0.578377 | + | 0.815770i | \(0.696314\pi\) | |||||||
\(464\) | 27.3719 | − | 4.82978i | 1.27071 | − | 0.224217i | ||||
\(465\) | 7.39105 | − | 9.75580i | 0.342752 | − | 0.452414i | ||||
\(466\) | 0.294068 | + | 0.246737i | 0.0136224 | + | 0.0114299i | ||||
\(467\) | 15.7261 | 0.727715 | 0.363858 | − | 0.931455i | \(-0.381459\pi\) | ||||
0.363858 | + | 0.931455i | \(0.381459\pi\) | |||||||
\(468\) | 9.95090 | + | 6.78605i | 0.459981 | + | 0.313685i | ||||
\(469\) | 6.11832 | − | 9.52299i | 0.282518 | − | 0.439731i | ||||
\(470\) | −13.9722 | + | 5.08593i | −0.644488 | + | 0.234596i | ||||
\(471\) | 23.7775 | − | 5.42491i | 1.09561 | − | 0.249967i | ||||
\(472\) | −33.5620 | + | 5.92100i | −1.54482 | + | 0.272536i | ||||
\(473\) | 33.0978 | − | 5.83604i | 1.52184 | − | 0.268341i | ||||
\(474\) | −4.84617 | − | 5.22352i | −0.222592 | − | 0.239924i | ||||
\(475\) | −2.10154 | − | 5.77394i | −0.0964254 | − | 0.264927i | ||||
\(476\) | −12.9280 | − | 25.0653i | −0.592555 | − | 1.14886i | ||||
\(477\) | 1.10409 | + | 11.0529i | 0.0505527 | + | 0.506079i | ||||
\(478\) | 9.95798e−6 | 0.332664i | 4.55468e−7 | 0.0152157i | ||||||
\(479\) | 8.98334 | + | 7.53792i | 0.410459 | + | 0.344416i | 0.824520 | − | 0.565833i | \(-0.191445\pi\) |
−0.414060 | + | 0.910249i | \(0.635890\pi\) | |||||||
\(480\) | 5.87149 | + | 13.9264i | 0.267996 | + | 0.635648i | ||||
\(481\) | 2.00142 | + | 11.3506i | 0.0912568 | + | 0.517543i | ||||
\(482\) | −15.7315 | + | 2.77437i | −0.716550 | + | 0.126369i | ||||
\(483\) | −3.34825 | + | 5.83040i | −0.152351 | + | 0.265292i | ||||
\(484\) | −3.62202 | − | 3.03887i | −0.164637 | − | 0.138130i | ||||
\(485\) | 17.6745 | − | 10.2044i | 0.802560 | − | 0.463358i | ||||
\(486\) | −18.2198 | + | 12.4113i | −0.826465 | + | 0.562988i | ||||
\(487\) | −13.8975 | − | 8.02374i | −0.629757 | − | 0.363590i | 0.150901 | − | 0.988549i | \(-0.451783\pi\) |
−0.780658 | + | 0.624958i | \(0.785116\pi\) | |||||||
\(488\) | −28.5724 | − | 5.03544i | −1.29341 | − | 0.227944i | ||||
\(489\) | −18.0730 | + | 0.900421i | −0.817288 | + | 0.0407184i | ||||
\(490\) | 1.21453 | + | 15.2217i | 0.0548671 | + | 0.687648i | ||||
\(491\) | −34.5865 | − | 12.5884i | −1.56087 | − | 0.568109i | −0.589931 | − | 0.807454i | \(-0.700845\pi\) |
−0.970935 | + | 0.239345i | \(0.923067\pi\) | |||||||
\(492\) | 1.99427 | − | 15.9105i | 0.0899087 | − | 0.717301i | ||||
\(493\) | 28.3707 | + | 23.8059i | 1.27775 | + | 1.07216i | ||||
\(494\) | −3.32832 | − | 5.76442i | −0.149748 | − | 0.259353i | ||||
\(495\) | 13.7371 | − | 9.87272i | 0.617437 | − | 0.443746i | ||||
\(496\) | −15.8683 | + | 9.16412i | −0.712509 | + | 0.411481i | ||||
\(497\) | −41.8415 | − | 9.44466i | −1.87685 | − | 0.423651i | ||||
\(498\) | 4.39664 | + | 19.2679i | 0.197018 | + | 0.863417i | ||||
\(499\) | −4.23565 | + | 11.6374i | −0.189614 | + | 0.520959i | −0.997676 | − | 0.0681377i | \(-0.978294\pi\) |
0.808062 | + | 0.589097i | \(0.200516\pi\) | |||||||
\(500\) | −23.1525 | + | 4.08384i | −1.03541 | + | 0.182635i | ||||
\(501\) | −7.62939 | − | 8.22395i | −0.340856 | − | 0.367419i | ||||
\(502\) | 4.51650 | − | 5.38289i | 0.201581 | − | 0.240250i | ||||
\(503\) | 15.1052 | + | 26.1630i | 0.673508 | + | 1.16655i | 0.976903 | + | 0.213685i | \(0.0685466\pi\) |
−0.303395 | + | 0.952865i | \(0.598120\pi\) | |||||||
\(504\) | 17.9269 | + | 13.5140i | 0.798527 | + | 0.601959i | ||||
\(505\) | 0.752595 | − | 1.30353i | 0.0334900 | − | 0.0580064i | ||||
\(506\) | −2.59448 | − | 7.12762i | −0.115339 | − | 0.316861i | ||||
\(507\) | 9.38233 | − | 12.3842i | 0.416684 | − | 0.550001i | ||||
\(508\) | 2.71383 | + | 3.23383i | 0.120407 | + | 0.143478i | ||||
\(509\) | 13.9327 | + | 16.6043i | 0.617554 | + | 0.735973i | 0.980648 | − | 0.195780i | \(-0.0627239\pi\) |
−0.363093 | + | 0.931753i | \(0.618279\pi\) | |||||||
\(510\) | −9.18824 | + | 17.9198i | −0.406862 | + | 0.793504i | ||||
\(511\) | −34.2921 | − | 7.74056i | −1.51699 | − | 0.342422i | ||||
\(512\) | −0.00609597 | − | 22.6274i | −0.000269406 | − | 1.00000i | ||||
\(513\) | 12.0476 | − | 1.81269i | 0.531912 | − | 0.0800321i | ||||
\(514\) | 4.08533 | − | 7.07649i | 0.180196 | − | 0.312131i | ||||
\(515\) | 11.2331 | − | 4.08853i | 0.494991 | − | 0.180162i | ||||
\(516\) | 14.5298 | − | 28.3395i | 0.639637 | − | 1.24758i | ||||
\(517\) | −4.32690 | − | 24.5391i | −0.190297 | − | 1.07923i | ||||
\(518\) | 2.72295 | + | 21.3096i | 0.119640 | + | 0.936291i | ||||
\(519\) | 10.0214 | − | 4.22335i | 0.439890 | − | 0.185385i | ||||
\(520\) | −8.22972 | + | 2.99621i | −0.360897 | + | 0.131393i | ||||
\(521\) | −28.3156 | + | 16.3480i | −1.24053 | + | 0.716219i | −0.969202 | − | 0.246268i | \(-0.920796\pi\) |
−0.271326 | + | 0.962487i | \(0.587462\pi\) | |||||||
\(522\) | −28.5681 | − | 7.27866i | −1.25039 | − | 0.318578i | ||||
\(523\) | 2.37836 | + | 1.37314i | 0.103998 | + | 0.0600434i | 0.551097 | − | 0.834441i | \(-0.314209\pi\) |
−0.447099 | + | 0.894485i | \(0.647543\pi\) | |||||||
\(524\) | −33.5996 | + | 12.2315i | −1.46780 | + | 0.534336i | ||||
\(525\) | −9.18182 | + | 7.74066i | −0.400727 | + | 0.337830i | ||||
\(526\) | 12.1746 | + | 14.5082i | 0.530837 | + | 0.632589i | ||||
\(527\) | −22.9441 | − | 8.35096i | −0.999460 | − | 0.363774i | ||||
\(528\) | −24.6921 | + | 5.63668i | −1.07459 | + | 0.245305i | ||||
\(529\) | −3.62011 | + | 20.5307i | −0.157396 | + | 0.892639i | ||||
\(530\) | −6.99512 | − | 4.03835i | −0.303848 | − | 0.175415i | ||||
\(531\) | 35.0283 | + | 8.92574i | 1.52010 | + | 0.387344i | ||||
\(532\) | −5.68717 | − | 11.0265i | −0.246570 | − | 0.478058i | ||||
\(533\) | 9.15101 | + | 1.61357i | 0.396374 | + | 0.0698915i | ||||
\(534\) | 15.6779 | − | 20.6952i | 0.678448 | − | 0.895571i | ||||
\(535\) | −12.5152 | − | 14.9151i | −0.541081 | − | 0.644835i | ||||
\(536\) | 11.3712 | + | 4.13762i | 0.491161 | + | 0.178718i | ||||
\(537\) | 4.10377 | + | 2.10433i | 0.177091 | + | 0.0908084i | ||||
\(538\) | 2.53703 | + | 2.12869i | 0.109379 | + | 0.0917744i | ||||
\(539\) | −25.4745 | − | 2.42590i | −1.09726 | − | 0.104491i | ||||
\(540\) | 0.402834 | − | 16.0252i | 0.0173352 | − | 0.689616i | ||||
\(541\) | 10.6318 | + | 18.4149i | 0.457098 | + | 0.791716i | 0.998806 | − | 0.0488501i | \(-0.0155557\pi\) |
−0.541708 | + | 0.840566i | \(0.682222\pi\) | |||||||
\(542\) | 21.5277 | − | 7.83618i | 0.924694 | − | 0.336593i | ||||
\(543\) | −8.64161 | + | 5.58028i | −0.370847 | + | 0.239473i | ||||
\(544\) | 23.0934 | − | 19.3836i | 0.990123 | − | 0.831064i | ||||
\(545\) | −2.71316 | + | 7.45434i | −0.116219 | + | 0.319309i | ||||
\(546\) | −8.33907 | + | 9.98546i | −0.356879 | + | 0.427338i | ||||
\(547\) | 34.0245 | + | 5.99944i | 1.45478 | + | 0.256517i | 0.844453 | − | 0.535630i | \(-0.179926\pi\) |
0.610330 | + | 0.792147i | \(0.291037\pi\) | |||||||
\(548\) | −0.00215799 | − | 36.0457i | −9.21846e−5 | − | 1.53980i | ||||
\(549\) | 25.4226 | + | 17.3392i | 1.08501 | + | 0.740020i | ||||
\(550\) | −0.000405562 | − | 13.5485i | −1.72932e−5 | − | 0.577710i | ||||
\(551\) | 12.4806 | + | 10.4724i | 0.531690 | + | 0.446141i | ||||
\(552\) | −6.86832 | − | 2.11857i | −0.292335 | − | 0.0901723i | ||||
\(553\) | 6.12378 | − | 4.66171i | 0.260409 | − | 0.198236i | ||||
\(554\) | −14.6557 | − | 17.4649i | −0.622662 | − | 0.742014i | ||||
\(555\) | 11.2457 | − | 10.4327i | 0.477355 | − | 0.442844i | ||||
\(556\) | 38.8769 | + | 6.85265i | 1.64875 | + | 0.290617i | ||||
\(557\) | 25.0827i | 1.06279i | 0.847125 | + | 0.531394i | \(0.178332\pi\) | ||||
−0.847125 | + | 0.531394i | \(0.821668\pi\) | |||||||
\(558\) | 19.3397 | − | 1.93244i | 0.818714 | − | 0.0818068i | ||||
\(559\) | 15.9827 | + | 9.22761i | 0.675996 | + | 0.390286i | ||||
\(560\) | −15.5870 | + | 4.85094i | −0.658673 | + | 0.204989i | ||||
\(561\) | −26.8996 | − | 20.3793i | −1.13570 | − | 0.860413i | ||||
\(562\) | 0.329665 | + | 1.86929i | 0.0139061 | + | 0.0788514i | ||||
\(563\) | 20.9381 | + | 7.62085i | 0.882436 | + | 0.321180i | 0.743192 | − | 0.669078i | \(-0.233311\pi\) |
0.139244 | + | 0.990258i | \(0.455533\pi\) | |||||||
\(564\) | −21.0112 | − | 10.7725i | −0.884730 | − | 0.453604i | ||||
\(565\) | −1.93580 | + | 10.9785i | −0.0814397 | + | 0.461867i | ||||
\(566\) | −23.7592 | 0.000711210i | −0.998675 | 2.98944e-5i | ||||||
\(567\) | −11.4309 | − | 20.8886i | −0.480054 | − | 0.877239i | ||||
\(568\) | −0.00411795 | − | 45.8559i | −0.000172785 | − | 1.92407i | ||||
\(569\) | −28.4754 | − | 5.02097i | −1.19375 | − | 0.210490i | −0.458754 | − | 0.888563i | \(-0.651704\pi\) |
−0.734995 | + | 0.678073i | \(0.762815\pi\) | |||||||
\(570\) | −4.04200 | + | 7.88312i | −0.169301 | + | 0.330187i | ||||
\(571\) | 8.72847 | − | 23.9813i | 0.365275 | − | 1.00359i | −0.611860 | − | 0.790966i | \(-0.709578\pi\) |
0.977135 | − | 0.212619i | \(-0.0681994\pi\) | |||||||
\(572\) | −2.54950 | − | 14.4539i | −0.106600 | − | 0.604347i | ||||
\(573\) | 11.6289 | − | 15.3495i | 0.485805 | − | 0.641236i | ||||
\(574\) | 16.8948 | + | 3.81305i | 0.705177 | + | 0.159154i | ||||
\(575\) | 1.92247 | − | 3.32981i | 0.0801724 | − | 0.138863i | ||||
\(576\) | −9.87074 | + | 21.8762i | −0.411281 | + | 0.911509i | ||||
\(577\) | −19.9132 | −0.828997 | −0.414498 | − | 0.910050i | \(-0.636043\pi\) | ||||
−0.414498 | + | 0.910050i | \(0.636043\pi\) | |||||||
\(578\) | 15.8872 | + | 2.80085i | 0.660821 | + | 0.116500i | ||||
\(579\) | 25.4899 | + | 27.4763i | 1.05932 | + | 1.14188i | ||||
\(580\) | 16.4208 | − | 13.7803i | 0.681836 | − | 0.572198i | ||||
\(581\) | −21.1746 | + | 2.70506i | −0.878471 | + | 0.112225i | ||||
\(582\) | 30.9685 | + | 9.55442i | 1.28369 | + | 0.396044i | ||||
\(583\) | 8.70057 | − | 10.3689i | 0.360341 | − | 0.429438i | ||||
\(584\) | −0.00337495 | − | 37.5821i | −0.000139656 | − | 1.55516i | ||||
\(585\) | 9.26335 | + | 0.695799i | 0.382992 | + | 0.0287678i | ||||
\(586\) | −12.8420 | 0.000384413i | −0.530499 | 1.58800e-5i | ||||||
\(587\) | 7.26949 | − | 41.2273i | 0.300044 | − | 1.70163i | −0.345919 | − | 0.938264i | \(-0.612433\pi\) |
0.645963 | − | 0.763369i | \(-0.276456\pi\) | |||||||
\(588\) | −16.4084 | + | 17.8539i | −0.676672 | + | 0.736284i | ||||
\(589\) | −10.0933 | − | 3.67367i | −0.415888 | − | 0.151371i | ||||
\(590\) | −20.1347 | + | 16.8961i | −0.828934 | + | 0.695601i | ||||
\(591\) | 24.6553 | + | 38.1810i | 1.01418 | + | 1.57056i | ||||
\(592\) | −21.5802 | + | 7.85747i | −0.886940 | + | 0.322940i | ||||
\(593\) | 12.7883 | − | 7.38334i | 0.525153 | − | 0.303197i | −0.213887 | − | 0.976858i | \(-0.568612\pi\) |
0.739041 | + | 0.673661i | \(0.235279\pi\) | |||||||
\(594\) | 26.3298 | + | 5.32895i | 1.08032 | + | 0.218650i | ||||
\(595\) | −18.3002 | − | 11.7575i | −0.750234 | − | 0.482010i | ||||
\(596\) | −12.5002 | + | 14.8990i | −0.512029 | + | 0.610287i | ||||
\(597\) | 5.09173 | − | 9.92968i | 0.208391 | − | 0.406395i | ||||
\(598\) | 1.42446 | − | 3.91404i | 0.0582505 | − | 0.160057i | ||||
\(599\) | −23.2634 | + | 19.5203i | −0.950515 | + | 0.797577i | −0.979384 | − | 0.202006i | \(-0.935254\pi\) |
0.0288688 | + | 0.999583i | \(0.490809\pi\) | |||||||
\(600\) | −10.2340 | − | 7.75190i | −0.417802 | − | 0.316470i | ||||
\(601\) | 0.486333 | − | 2.75813i | 0.0198379 | − | 0.112506i | −0.973281 | − | 0.229618i | \(-0.926252\pi\) |
0.993119 | + | 0.117111i | \(0.0373635\pi\) | |||||||
\(602\) | 28.9411 | + | 18.5928i | 1.17955 | + | 0.757787i | ||||
\(603\) | −9.18632 | − | 8.96318i | −0.374096 | − | 0.365009i | ||||
\(604\) | −4.03203 | − | 2.32757i | −0.164061 | − | 0.0947077i | ||||
\(605\) | −3.59109 | − | 0.633206i | −0.145999 | − | 0.0257435i | ||||
\(606\) | 2.33032 | − | 0.531742i | 0.0946627 | − | 0.0216005i | ||||
\(607\) | 12.1098 | − | 33.2715i | 0.491523 | − | 1.35045i | −0.407762 | − | 0.913088i | \(-0.633691\pi\) |
0.899286 | − | 0.437361i | \(-0.144087\pi\) | |||||||
\(608\) | 10.1590 | − | 8.52703i | 0.412003 | − | 0.345817i | ||||
\(609\) | 10.8218 | − | 29.9475i | 0.438520 | − | 1.21354i | ||||
\(610\) | −21.0266 | + | 7.65377i | −0.851342 | + | 0.309892i | ||||
\(611\) | 6.84144 | − | 11.8497i | 0.276775 | − | 0.479388i | ||||
\(612\) | −30.7848 | + | 8.65775i | −1.24440 | + | 0.349969i | ||||
\(613\) | 9.33817 | + | 16.1742i | 0.377165 | + | 0.653269i | 0.990649 | − | 0.136439i | \(-0.0435656\pi\) |
−0.613483 | + | 0.789708i | \(0.710232\pi\) | |||||||
\(614\) | −2.37983 | + | 0.866267i | −0.0960421 | + | 0.0349597i | ||||
\(615\) | −4.80284 | − | 11.3964i | −0.193669 | − | 0.459548i | ||||
\(616\) | −3.46907 | − | 27.1358i | −0.139773 | − | 1.09333i | ||||
\(617\) | −16.8815 | + | 2.97667i | −0.679624 | + | 0.119836i | −0.502795 | − | 0.864406i | \(-0.667695\pi\) |
−0.176829 | + | 0.984242i | \(0.556584\pi\) | |||||||
\(618\) | 16.8918 | + | 8.66113i | 0.679488 | + | 0.348402i | ||||
\(619\) | −6.38926 | − | 17.5543i | −0.256806 | − | 0.705569i | −0.999360 | − | 0.0357820i | \(-0.988608\pi\) |
0.742554 | − | 0.669787i | \(-0.233614\pi\) | |||||||
\(620\) | −7.06570 | + | 12.2398i | −0.283765 | + | 0.491564i | ||||
\(621\) | 5.71476 | + | 5.04593i | 0.229325 | + | 0.202486i | ||||
\(622\) | 0.000316238 | 10.5645i | 1.26800e−5 | 0.423598i | ||||||
\(623\) | 20.6030 | + | 19.0251i | 0.825440 | + | 0.762225i | ||||
\(624\) | −12.3764 | − | 6.34449i | −0.495453 | − | 0.253983i | ||||
\(625\) | −3.85242 | + | 3.23256i | −0.154097 | + | 0.129302i | ||||
\(626\) | 16.9074 | + | 20.1482i | 0.675754 | + | 0.805284i | ||||
\(627\) | −11.8334 | − | 8.96505i | −0.472580 | − | 0.358029i | ||||
\(628\) | −26.4626 | + | 9.63338i | −1.05597 | + | 0.384414i | ||||
\(629\) | −26.5017 | − | 15.3007i | −1.05669 | − | 0.610081i | ||||
\(630\) | 17.1851 | + | 2.11426i | 0.684672 | + | 0.0842342i | ||||
\(631\) | −27.4735 | + | 15.8618i | −1.09370 | + | 0.631449i | −0.934559 | − | 0.355807i | \(-0.884206\pi\) |
−0.159142 | + | 0.987256i | \(0.550873\pi\) | |||||||
\(632\) | 6.30321 | + | 5.28805i | 0.250728 | + | 0.210347i | ||||
\(633\) | 10.7277 | − | 9.95209i | 0.426386 | − | 0.395560i | ||||
\(634\) | 4.05826 | + | 23.0115i | 0.161174 | + | 0.913903i | ||||
\(635\) | 3.05964 | + | 1.11362i | 0.121418 | + | 0.0441925i | ||||
\(636\) | −2.85380 | − | 12.5048i | −0.113161 | − | 0.495849i | ||||
\(637\) | −9.85968 | − | 10.0122i | −0.390655 | − | 0.396698i | ||||
\(638\) | 17.9629 | + | 31.1106i | 0.711160 | + | 1.23168i | ||||
\(639\) | −20.0116 | + | 44.3299i | −0.791648 | + | 1.75366i | ||||
\(640\) | −8.72895 | − | 15.1117i | −0.345042 | − | 0.597341i | ||||
\(641\) | 22.0827 | − | 26.3171i | 0.872213 | − | 1.03946i | −0.126658 | − | 0.991946i | \(-0.540425\pi\) |
0.998870 | − | 0.0475163i | \(-0.0151306\pi\) | |||||||
\(642\) | 3.84624 | − | 30.6783i | 0.151799 | − | 1.21078i | ||||
\(643\) | 15.9329 | − | 43.7754i | 0.628334 | − | 1.72633i | −0.0572714 | − | 0.998359i | \(-0.518240\pi\) |
0.685605 | − | 0.727974i | \(-0.259538\pi\) | |||||||
\(644\) | 2.99805 | − | 7.16130i | 0.118140 | − | 0.282195i | ||||
\(645\) | −1.22222 | − | 24.5319i | −0.0481247 | − | 0.965944i | ||||
\(646\) | 17.4045 | + | 3.06834i | 0.684770 | + | 0.120722i | ||||
\(647\) | 1.71404 | − | 2.96881i | 0.0673860 | − | 0.116716i | −0.830364 | − | 0.557221i | \(-0.811867\pi\) |
0.897750 | + | 0.440506i | \(0.145201\pi\) | |||||||
\(648\) | 19.0906 | − | 16.8389i | 0.749950 | − | 0.661494i | ||||
\(649\) | −22.0240 | − | 38.1467i | −0.864519 | − | 1.49739i | ||||
\(650\) | 4.78206 | − | 5.69938i | 0.187568 | − | 0.223548i | ||||
\(651\) | 0.0484782 | + | 20.9932i | 0.00190001 | + | 0.822789i | ||||
\(652\) | 20.5771 | − | 3.62957i | 0.805861 | − | 0.142145i | ||||
\(653\) | −2.04034 | + | 0.359768i | −0.0798448 | + | 0.0140788i | −0.213428 | − | 0.976959i | \(-0.568463\pi\) |
0.133583 | + | 0.991038i | \(0.457352\pi\) | |||||||
\(654\) | −11.6082 | + | 4.89249i | −0.453916 | + | 0.191311i | ||||
\(655\) | −17.7266 | + | 21.1257i | −0.692634 | + | 0.825449i | ||||
\(656\) | 0.00221699 | + | 18.5156i | 8.65589e−5 | + | 0.722914i | ||||
\(657\) | −16.4009 | + | 36.3314i | −0.639861 | + | 1.41742i | ||||
\(658\) | 13.7849 | − | 21.4572i | 0.537392 | − | 0.836490i | ||||
\(659\) | −40.7373 | + | 14.8272i | −1.58690 | + | 0.577585i | −0.976690 | − | 0.214655i | \(-0.931137\pi\) |
−0.610211 | + | 0.792239i | \(0.708915\pi\) | |||||||
\(660\) | −14.3197 | + | 13.2860i | −0.557393 | + | 0.517158i | ||||
\(661\) | 2.79971 | + | 15.8780i | 0.108896 | + | 0.617581i | 0.989592 | + | 0.143900i | \(0.0459642\pi\) |
−0.880696 | + | 0.473682i | \(0.842925\pi\) | |||||||
\(662\) | 4.01190 | + | 22.7486i | 0.155927 | + | 0.884150i | ||||
\(663\) | −4.12212 | − | 18.0674i | −0.160090 | − | 0.701679i | ||||
\(664\) | −7.80702 | − | 21.4436i | −0.302971 | − | 0.832174i | ||||
\(665\) | −8.05044 | − | 5.17224i | −0.312183 | − | 0.200571i | ||||
\(666\) | 24.2909 | + | 1.82384i | 0.941254 | + | 0.0706722i | ||||
\(667\) | 10.1949i | 0.394748i | ||||||||
\(668\) | 9.92331 | + | 8.32563i | 0.383944 | + | 0.322128i | ||||
\(669\) | −15.6969 | − | 11.8921i | −0.606879 | − | 0.459775i | ||||
\(670\) | 9.19083 | − | 1.62088i | 0.355073 | − | 0.0626199i | ||||
\(671\) | −6.51151 | − | 36.9286i | −0.251374 | − | 1.42561i | ||||
\(672\) | −22.4817 | − | 12.9062i | −0.867252 | − | 0.497869i | ||||
\(673\) | 28.6524 | + | 24.0422i | 1.10447 | + | 0.926759i | 0.997717 | − | 0.0675269i | \(-0.0215108\pi\) |
0.106751 | + | 0.994286i | \(0.465955\pi\) | |||||||
\(674\) | −25.8253 | + | 14.9113i | −0.994754 | + | 0.574361i | ||||
\(675\) | 6.50942 | + | 11.9607i | 0.250548 | + | 0.460367i | ||||
\(676\) | −8.96932 | + | 15.5375i | −0.344974 | + | 0.597595i | ||||
\(677\) | 27.2411 | + | 4.80334i | 1.04696 | + | 0.184607i | 0.670565 | − | 0.741851i | \(-0.266052\pi\) |
0.376396 | + | 0.926459i | \(0.377163\pi\) | |||||||
\(678\) | −14.8712 | + | 9.60362i | −0.571123 | + | 0.368825i | ||||
\(679\) | −13.5201 | + | 32.2893i | −0.518853 | + | 1.23915i | ||||
\(680\) | 7.95121 | − | 21.8519i | 0.304915 | − | 0.837981i | ||||
\(681\) | 24.2773 | − | 32.0448i | 0.930308 | − | 1.22796i | ||||
\(682\) | −18.1434 | − | 15.2232i | −0.694746 | − | 0.582926i | ||||
\(683\) | −14.4042 | − | 24.9489i | −0.551163 | − | 0.954642i | −0.998191 | − | 0.0601219i | \(-0.980851\pi\) |
0.447028 | − | 0.894520i | \(-0.352482\pi\) | |||||||
\(684\) | −13.5425 | + | 3.80863i | −0.517812 | + | 0.145627i | ||||
\(685\) | −13.9003 | − | 24.0759i | −0.531101 | − | 0.919895i | ||||
\(686\) | −17.4719 | − | 19.5124i | −0.667079 | − | 0.744987i | ||||
\(687\) | 29.0250 | + | 31.2869i | 1.10737 | + | 1.19367i | ||||
\(688\) | −12.5733 | + | 34.5577i | −0.479352 | + | 1.31750i | ||||
\(689\) | 7.31986 | − | 1.29069i | 0.278865 | − | 0.0491713i | ||||
\(690\) | −5.40460 | + | 1.23324i | −0.205750 | + | 0.0469488i | ||||
\(691\) | 7.39003 | − | 8.80709i | 0.281130 | − | 0.335037i | −0.606939 | − | 0.794749i | \(-0.707603\pi\) |
0.888068 | + | 0.459711i | \(0.152047\pi\) | |||||||
\(692\) | −10.8746 | + | 6.27932i | −0.413390 | + | 0.238704i | ||||
\(693\) | −8.49097 | + | 27.7459i | −0.322545 | + | 1.05398i | ||||
\(694\) | 4.74093 | + | 2.73699i | 0.179963 | + | 0.103895i | ||||
\(695\) | 28.6102 | − | 10.4133i | 1.08525 | − | 0.394998i | ||||
\(696\) | 33.7772 | + | 4.23272i | 1.28032 | + | 0.160441i | ||||
\(697\) | −18.8993 | + | 15.8584i | −0.715864 | + | 0.600681i | ||||
\(698\) | −8.65435 | − | 10.3132i | −0.327572 | − | 0.390361i | ||||
\(699\) | 0.255039 | + | 0.394953i | 0.00964647 | + | 0.0149385i | ||||
\(700\) | 9.40708 | − | 10.1885i | 0.355554 | − | 0.385088i | ||||
\(701\) | 51.6446i | 1.95059i | 0.220907 | + | 0.975295i | \(0.429098\pi\) | ||||
−0.220907 | + | 0.975295i | \(0.570902\pi\) | |||||||
\(702\) | 9.19477 | + | 11.5353i | 0.347034 | + | 0.435371i | ||||
\(703\) | −11.6584 | − | 6.73095i | −0.439703 | − | 0.253863i | ||||
\(704\) | 27.4799 | − | 10.0075i | 1.03569 | − | 0.377170i | ||||
\(705\) | −18.1882 | + | 0.906163i | −0.685008 | + | 0.0341281i | ||||
\(706\) | 6.06790 | + | 34.4068i | 0.228369 | + | 1.29492i | ||||
\(707\) | 0.327157 | + | 2.56092i | 0.0123040 | + | 0.0963132i | ||||
\(708\) | −41.4156 | − | 5.19116i | −1.55649 | − | 0.195096i | ||||
\(709\) | −6.20359 | + | 2.25792i | −0.232981 | + | 0.0847981i | −0.455872 | − | 0.890045i | \(-0.650673\pi\) |
0.222891 | + | 0.974843i | \(0.428450\pi\) | |||||||
\(710\) | −17.6843 | − | 30.6279i | −0.663678 | − | 1.14945i | ||||
\(711\) | −3.78503 | − | 7.86316i | −0.141950 | − | 0.294891i | ||||
\(712\) | −14.9875 | + | 25.9646i | −0.561682 | + | 0.973063i | ||||
\(713\) | −2.29881 | − | 6.31592i | −0.0860911 | − | 0.236533i | ||||
\(714\) | −6.07759 | − | 34.0024i | −0.227448 | − | 1.27251i | ||||
\(715\) | −7.27619 | − | 8.67143i | −0.272114 | − | 0.324293i | ||||
\(716\) | −5.00426 | − | 1.82106i | −0.187018 | − | 0.0680562i | ||||
\(717\) | −0.120125 | + | 0.389318i | −0.00448616 | + | 0.0145393i | ||||
\(718\) | −23.7060 | − | 4.17928i | −0.884701 | − | 0.155969i | ||||
\(719\) | −6.41827 | + | 11.1168i | −0.239361 | + | 0.414586i | −0.960531 | − | 0.278172i | \(-0.910271\pi\) |
0.721170 | + | 0.692758i | \(0.243605\pi\) | |||||||
\(720\) | 1.84205 | + | 18.4183i | 0.0686490 | + | 0.686409i | ||||
\(721\) | −11.0830 | + | 17.2503i | −0.412752 | + | 0.642436i | ||||
\(722\) | −18.8056 | − | 3.31535i | −0.699871 | − | 0.123385i | ||||
\(723\) | −19.4123 | − | 2.43438i | −0.721953 | − | 0.0905357i | ||||
\(724\) | 9.09869 | − | 7.63564i | 0.338150 | − | 0.283776i | ||||
\(725\) | −6.22820 | + | 17.1118i | −0.231309 | + | 0.635517i | ||||
\(726\) | −3.14138 | − | 4.86440i | −0.116587 | − | 0.180535i | ||||
\(727\) | −28.3857 | + | 33.8288i | −1.05277 | + | 1.25464i | −0.0867321 | + | 0.996232i | \(0.527642\pi\) |
−0.966036 | + | 0.258408i | \(0.916802\pi\) | |||||||
\(728\) | 8.11884 | − | 12.6392i | 0.300904 | − | 0.468441i | ||||
\(729\) | −25.8046 | + | 7.94503i | −0.955725 | + | 0.294261i | ||||
\(730\) | −14.4935 | − | 25.1017i | −0.536428 | − | 0.929056i | ||||
\(731\) | −46.0447 | + | 16.7589i | −1.70303 | + | 0.619851i | ||||
\(732\) | −31.6196 | − | 16.2115i | −1.16869 | − | 0.599193i | ||||
\(733\) | −4.54884 | + | 3.81693i | −0.168015 | + | 0.140982i | −0.722918 | − | 0.690933i | \(-0.757200\pi\) |
0.554903 | + | 0.831915i | \(0.312755\pi\) | |||||||
\(734\) | 0.799217 | + | 0.290864i | 0.0294996 | + | 0.0107360i | ||||
\(735\) | −4.07576 | + | 18.2525i | −0.150337 | + | 0.673253i | ||||
\(736\) | 8.17370 | + | 1.43998i | 0.301286 | + | 0.0530784i | ||||
\(737\) | 15.6397i | 0.576097i | ||||||||
\(738\) | 8.07973 | − | 17.8997i | 0.297419 | − | 0.658898i | ||||
\(739\) | − | 4.42434i | − | 0.162752i | −0.996683 | − | 0.0813760i | \(-0.974069\pi\) | ||
0.996683 | − | 0.0813760i | \(-0.0259315\pi\) | |||||||
\(740\) | −11.3848 | + | 13.5695i | −0.418513 | + | 0.498825i | ||||
\(741\) | −1.81336 | − | 7.94802i | −0.0666155 | − | 0.291978i | ||||
\(742\) | 13.7423 | − | 1.75600i | 0.504496 | − | 0.0644647i | ||||
\(743\) | 7.97393 | − | 6.69092i | 0.292535 | − | 0.245466i | −0.484694 | − | 0.874684i | \(-0.661069\pi\) |
0.777229 | + | 0.629218i | \(0.216625\pi\) | |||||||
\(744\) | −21.8801 | + | 4.99406i | −0.802162 | + | 0.183091i | ||||
\(745\) | −2.60466 | + | 14.7718i | −0.0954273 | + | 0.541195i | ||||
\(746\) | −0.000600719 | − | 20.0681i | −2.19939e−5 | − | 0.734745i | ||||
\(747\) | −1.81300 | + | 24.1369i | −0.0663341 | + | 0.883122i | ||||
\(748\) | 33.7488 | + | 19.4822i | 1.23398 | + | 0.712339i | ||||
\(749\) | 32.5762 | + | 7.35324i | 1.19031 | + | 0.268682i | ||||
\(750\) | −28.5700 | − | 3.58192i | −1.04323 | − | 0.130793i | ||||
\(751\) | −50.4091 | + | 8.88849i | −1.83945 | + | 0.324345i | −0.981805 | − | 0.189890i | \(-0.939187\pi\) |
−0.857649 | + | 0.514236i | \(0.828076\pi\) | |||||||
\(752\) | 25.6214 | + | 9.32196i | 0.934317 | + | 0.339937i | ||||
\(753\) | 7.22958 | − | 4.66847i | 0.263460 | − | 0.170129i | ||||
\(754\) | −3.42494 | + | 19.4272i | −0.124729 | + | 0.707496i | ||||
\(755\) | −3.59069 | −0.130679 | ||||||||
\(756\) | 16.0993 | + | 22.2893i | 0.585526 | + | 0.810654i | ||||
\(757\) | −41.5861 | −1.51147 | −0.755736 | − | 0.654876i | \(-0.772721\pi\) | ||||
−0.755736 | + | 0.654876i | \(0.772721\pi\) | |||||||
\(758\) | −5.99662 | + | 34.0145i | −0.217807 | + | 1.23546i | ||||
\(759\) | −0.462261 | − | 9.27835i | −0.0167790 | − | 0.336783i | ||||
\(760\) | 3.49782 | − | 9.61286i | 0.126879 | − | 0.348695i | ||||
\(761\) | 32.2932 | − | 5.69416i | 1.17063 | − | 0.206413i | 0.445663 | − | 0.895201i | \(-0.352968\pi\) |
0.724963 | + | 0.688788i | \(0.241857\pi\) | |||||||
\(762\) | 2.00812 | + | 4.76458i | 0.0727466 | + | 0.172603i | ||||
\(763\) | −4.04169 | − | 12.9923i | −0.146319 | − | 0.470351i | ||||
\(764\) | −11.1170 | + | 19.2579i | −0.402199 | + | 0.696725i | ||||
\(765\) | −17.2244 | + | 17.6532i | −0.622750 | + | 0.638254i | ||||
\(766\) | 0.000716467 | 23.9349i | 2.58870e−5 | 0.864801i | ||||||
\(767\) | 4.20018 | − | 23.8204i | 0.151660 | − | 0.860105i | ||||
\(768\) | 8.16444 | − | 26.4829i | 0.294609 | − | 0.955618i | ||||
\(769\) | 27.6145 | − | 23.1713i | 0.995803 | − | 0.835578i | 0.00940598 | − | 0.999956i | \(-0.497006\pi\) |
0.986398 | + | 0.164377i | \(0.0525615\pi\) | |||||||
\(770\) | −12.7804 | − | 16.7877i | −0.460574 | − | 0.604988i | ||||
\(771\) | 7.33660 | − | 6.80619i | 0.264221 | − | 0.245119i | ||||
\(772\) | −33.1539 | − | 27.8160i | −1.19323 | − | 1.00112i | ||||
\(773\) | 1.47522i | 0.0530600i | 0.999648 | + | 0.0265300i | \(0.00844575\pi\) | ||||
−0.999648 | + | 0.0265300i | \(0.991554\pi\) | |||||||
\(774\) | 27.2385 | − | 27.9182i | 0.979066 | − | 1.00350i | ||||
\(775\) | − | 12.0055i | − | 0.431249i | ||||||
\(776\) | −36.8546 | − | 6.49504i | −1.32300 | − | 0.233159i | ||||
\(777\) | −4.50902 | + | 25.9218i | −0.161760 | + | 0.929939i | ||||
\(778\) | −18.2990 | − | 6.65968i | −0.656051 | − | 0.238761i | ||||
\(779\) | −8.31401 | + | 6.97628i | −0.297880 | + | 0.249951i | ||||
\(780\) | −10.7132 | + | 0.534390i | −0.383594 | + | 0.0191342i | ||||
\(781\) | 55.6934 | − | 20.2707i | 1.99287 | − | 0.725344i | ||||
\(782\) | 5.52971 | + | 9.57707i | 0.197742 | + | 0.342475i | ||||
\(783\) | −30.8044 | − | 18.8351i | −1.10086 | − | 0.673112i | ||||
\(784\) | 16.2330 | − | 22.8143i | 0.579749 | − | 0.814795i | ||||
\(785\) | −13.9612 | + | 16.6383i | −0.498296 | + | 0.593846i | ||||
\(786\) | −43.7385 | + | 2.18043i | −1.56010 | + | 0.0777733i | ||||
\(787\) | −9.19977 | + | 25.2762i | −0.327936 | + | 0.900998i | 0.660697 | + | 0.750653i | \(0.270261\pi\) |
−0.988634 | + | 0.150345i | \(0.951961\pi\) | |||||||
\(788\) | −33.7364 | − | 40.2006i | −1.20181 | − | 1.43209i | ||||
\(789\) | 9.00837 | + | 21.3755i | 0.320706 | + | 0.760989i | ||||
\(790\) | 6.24925 | + | 1.10172i | 0.222338 | + | 0.0391974i | ||||
\(791\) | −8.76392 | − | 16.9942i | −0.311609 | − | 0.604246i | ||||
\(792\) | −30.9325 | − | 2.32065i | −1.09914 | − | 0.0824606i | ||||
\(793\) | 10.2956 | − | 17.8325i | 0.365608 | − | 0.633252i | ||||
\(794\) | 30.5649 | + | 5.38848i | 1.08471 | + | 0.191230i | ||||
\(795\) | −6.72793 | − | 7.25224i | −0.238615 | − | 0.257210i | ||||
\(796\) | −4.40633 | + | 12.1085i | −0.156178 | + | 0.429176i | ||||
\(797\) | −13.1039 | − | 15.6166i | −0.464164 | − | 0.553169i | 0.482288 | − | 0.876013i | \(-0.339806\pi\) |
−0.946452 | + | 0.322843i | \(0.895361\pi\) | |||||||
\(798\) | −2.67359 | − | 14.9580i | −0.0946442 | − | 0.529508i | ||||
\(799\) | 12.4252 | + | 34.1380i | 0.439573 | + | 1.20772i | ||||
\(800\) | 12.8396 | + | 7.41039i | 0.453949 | + | 0.261997i | ||||
\(801\) | 25.8215 | − | 18.5576i | 0.912357 | − | 0.655701i | ||||
\(802\) | 16.6871 | + | 28.9008i | 0.589241 | + | 1.02052i | ||||
\(803\) | 45.6446 | − | 16.6133i | 1.61076 | − | 0.586270i | ||||
\(804\) | 11.8134 | + | 8.94877i | 0.416625 | + | 0.315599i | ||||
\(805\) | −0.758761 | − | 5.93942i | −0.0267428 | − | 0.209337i | ||||
\(806\) | −2.25875 | − | 12.8078i | −0.0795612 | − | 0.451135i | ||||
\(807\) | 2.20032 | + | 3.40740i | 0.0774548 | + | 0.119946i | ||||
\(808\) | −2.59345 | + | 0.944203i | −0.0912373 | + | 0.0332170i | ||||
\(809\) | −2.34648 | − | 1.35474i | −0.0824980 | − | 0.0476302i | 0.458184 | − | 0.888858i | \(-0.348500\pi\) |
−0.540682 | + | 0.841227i | \(0.681834\pi\) | |||||||
\(810\) | 6.25872 | − | 18.6087i | 0.219909 | − | 0.653843i | ||||
\(811\) | 34.2072i | 1.20118i | 0.799558 | + | 0.600588i | \(0.205067\pi\) | ||||
−0.799558 | + | 0.600588i | \(0.794933\pi\) | |||||||
\(812\) | −8.09382 | + | 35.8670i | −0.284037 | + | 1.25869i | ||||
\(813\) | 28.0236 | − | 1.39618i | 0.982831 | − | 0.0489661i | ||||
\(814\) | −19.0807 | − | 22.7381i | −0.668778 | − | 0.796971i | ||||
\(815\) | 12.3450 | − | 10.3587i | 0.432426 | − | 0.362848i | ||||
\(816\) | 34.0262 | − | 14.3446i | 1.19115 | − | 0.502160i | ||||
\(817\) | −20.2555 | + | 7.37242i | −0.708652 | + | 0.257928i | ||||
\(818\) | 15.1516 | + | 8.74717i | 0.529763 | + | 0.305838i | ||||
\(819\) | −13.3652 | + | 8.67436i | −0.467020 | + | 0.303107i | ||||
\(820\) | 7.14090 | + | 12.3667i | 0.249371 | + | 0.431864i | ||||
\(821\) | 21.3671 | − | 25.4643i | 0.745716 | − | 0.888710i | −0.251139 | − | 0.967951i | \(-0.580805\pi\) |
0.996856 | + | 0.0792407i | \(0.0252496\pi\) | |||||||
\(822\) | 13.0149 | − | 42.1847i | 0.453946 | − | 1.47136i | ||||
\(823\) | 55.9588 | − | 9.86704i | 1.95060 | − | 0.343944i | 0.951230 | − | 0.308483i | \(-0.0998213\pi\) |
0.999371 | − | 0.0354604i | \(-0.0112898\pi\) | |||||||
\(824\) | −20.5983 | − | 7.49506i | −0.717574 | − | 0.261103i | ||||
\(825\) | 4.89238 | − | 15.8558i | 0.170331 | − | 0.552030i | ||||
\(826\) | 9.92550 | − | 43.9779i | 0.345352 | − | 1.53019i | ||||
\(827\) | −22.2259 | − | 38.4963i | −0.772869 | − | 1.33865i | −0.935984 | − | 0.352042i | \(-0.885488\pi\) |
0.163115 | − | 0.986607i | \(-0.447846\pi\) | |||||||
\(828\) | −7.27284 | − | 4.95974i | −0.252749 | − | 0.172363i | ||||
\(829\) | 28.3085 | + | 49.0317i | 0.983194 | + | 1.70294i | 0.649703 | + | 0.760188i | \(0.274893\pi\) |
0.333491 | + | 0.942753i | \(0.391773\pi\) | |||||||
\(830\) | −13.4831 | − | 11.3130i | −0.468007 | − | 0.392680i | ||||
\(831\) | −10.8442 | − | 25.7318i | −0.376182 | − | 0.892625i | ||||
\(832\) | 15.0919 | + | 5.48993i | 0.523217 | + | 0.190329i | ||||
\(833\) | 37.1908 | − | 2.96631i | 1.28858 | − | 0.102777i | ||||
\(834\) | 43.0226 | + | 22.0595i | 1.48975 | + | 0.763857i | ||||
\(835\) | 9.83856 | + | 1.73480i | 0.340477 | + | 0.0600354i | ||||
\(836\) | 14.8464 | + | 8.57040i | 0.513474 | + | 0.296413i | ||||
\(837\) | 23.3309 | + | 4.72274i | 0.806435 | + | 0.163242i | ||||
\(838\) | −10.2777 | + | 5.93424i | −0.355037 | + | 0.204995i | ||||
\(839\) | −9.88925 | − | 8.29807i | −0.341415 | − | 0.286481i | 0.455917 | − | 0.890022i | \(-0.349311\pi\) |
−0.797332 | + | 0.603541i | \(0.793756\pi\) | |||||||
\(840\) | −19.9932 | + | 0.0479644i | −0.689832 | + | 0.00165493i | ||||
\(841\) | −3.34865 | − | 18.9911i | −0.115471 | − | 0.654866i | ||||
\(842\) | −44.2154 | + | 7.79774i | −1.52376 | + | 0.268728i | ||||
\(843\) | −0.289266 | + | 2.30667i | −0.00996284 | + | 0.0794460i | ||||
\(844\) | −10.8603 | + | 12.9444i | −0.373827 | + | 0.445563i | ||||
\(845\) | 13.8367i | 0.475998i | ||||||||
\(846\) | −20.6989 | − | 20.1949i | −0.711641 | − | 0.694313i | ||||
\(847\) | 5.55888 | − | 2.86671i | 0.191005 | − | 0.0985012i | ||||
\(848\) | 5.06719 | + | 13.9168i | 0.174008 | + | 0.477905i | ||||
\(849\) | −27.8055 | − | 8.57948i | −0.954281 | − | 0.294447i | ||||
\(850\) | 3.43069 | + | 19.4530i | 0.117672 | + | 0.667233i | ||||
\(851\) | −1.46278 | − | 8.29584i | −0.0501435 | − | 0.284378i | ||||
\(852\) | 16.5554 | − | 53.6662i | 0.567178 | − | 1.83857i | ||||
\(853\) | 46.3589 | − | 16.8733i | 1.58730 | − | 0.577730i | 0.610524 | − | 0.791997i | \(-0.290959\pi\) |
0.976775 | + | 0.214268i | \(0.0687365\pi\) | |||||||
\(854\) | 20.7448 | − | 32.2908i | 0.709872 | − | 1.10497i | ||||
\(855\) | −7.57719 | + | 7.76583i | −0.259135 | + | 0.265586i | ||||
\(856\) | 0.00320608 | + | 35.7016i | 0.000109581 | + | 1.22025i | ||||
\(857\) | 18.1510 | − | 21.6315i | 0.620027 | − | 0.738919i | −0.361048 | − | 0.932547i | \(-0.617581\pi\) |
0.981075 | + | 0.193628i | \(0.0620255\pi\) | |||||||
\(858\) | 2.23615 | − | 17.8359i | 0.0763411 | − | 0.608909i | ||||
\(859\) | −21.1292 | + | 3.72564i | −0.720918 | + | 0.127117i | −0.522057 | − | 0.852910i | \(-0.674835\pi\) |
−0.198861 | + | 0.980028i | \(0.563724\pi\) | |||||||
\(860\) | 4.92671 | + | 27.9310i | 0.167999 | + | 0.952439i | ||||
\(861\) | 18.3949 | + | 10.5637i | 0.626895 | + | 0.360010i | ||||
\(862\) | −8.58555 | + | 10.2325i | −0.292425 | + | 0.348520i | ||||
\(863\) | 19.7997 | + | 34.2940i | 0.673988 | + | 1.16738i | 0.976764 | + | 0.214320i | \(0.0687534\pi\) |
−0.302776 | + | 0.953062i | \(0.597913\pi\) | |||||||
\(864\) | −19.4519 | + | 22.0369i | −0.661768 | + | 0.749709i | ||||
\(865\) | −4.84247 | + | 8.38740i | −0.164649 | + | 0.285180i | ||||
\(866\) | 19.0918 | + | 3.36581i | 0.648766 | + | 0.114375i | ||||
\(867\) | 17.5812 | + | 9.01526i | 0.597088 | + | 0.306174i | ||||
\(868\) | −3.07326 | − | 24.0453i | −0.104313 | − | 0.816152i | ||||
\(869\) | −3.63705 | + | 9.99272i | −0.123379 | + | 0.338980i | ||||
\(870\) | 24.1937 | − | 10.1969i | 0.820242 | − | 0.345707i | ||||
\(871\) | −5.52037 | + | 6.57892i | −0.187050 | + | 0.222918i | ||||
\(872\) | 12.5964 | − | 7.27406i | 0.426569 | − | 0.246331i | ||||
\(873\) | 32.7917 | + | 22.3653i | 1.10983 | + | 0.756950i | ||||
\(874\) | 2.43257 | + | 4.21305i | 0.0822831 | + | 0.142509i | ||||
\(875\) | 6.84791 | − | 30.3374i | 0.231501 | − | 1.02559i | ||||
\(876\) | 13.5683 | − | 43.9832i | 0.458430 | − | 1.48605i | ||||
\(877\) | 43.1689 | + | 15.7122i | 1.45771 | + | 0.530563i | 0.944734 | − | 0.327839i | \(-0.106320\pi\) |
0.512977 | + | 0.858402i | \(0.328542\pi\) | |||||||
\(878\) | −2.19975 | − | 12.4732i | −0.0742379 | − | 0.420950i | ||||
\(879\) | −15.0290 | − | 4.63726i | −0.506917 | − | 0.156411i | ||||
\(880\) | 14.4965 | − | 17.2805i | 0.488677 | − | 0.582524i | ||||
\(881\) | −25.6860 | + | 14.8298i | −0.865385 | + | 0.499630i | −0.865812 | − | 0.500370i | \(-0.833197\pi\) |
0.000426902 | 1.00000i | \(0.499864\pi\) | ||||||||
\(882\) | −25.6503 | + | 14.9686i | −0.863692 | + | 0.504020i | ||||
\(883\) | −48.6610 | − | 28.0944i | −1.63757 | − | 0.945453i | −0.981666 | − | 0.190610i | \(-0.938953\pi\) |
−0.655906 | − | 0.754843i | \(-0.727713\pi\) | |||||||
\(884\) | 7.31992 | + | 20.1076i | 0.246196 | + | 0.676291i | ||||
\(885\) | −29.6653 | + | 12.5020i | −0.997188 | + | 0.420249i | ||||
\(886\) | 24.7238 | + | 29.4629i | 0.830612 | + | 0.989824i | ||||
\(887\) | 22.4899 | − | 18.8713i | 0.755137 | − | 0.633635i | −0.181719 | − | 0.983350i | \(-0.558166\pi\) |
0.936856 | + | 0.349716i | \(0.113722\pi\) | |||||||
\(888\) | −28.0927 | + | 1.40215i | −0.942730 | + | 0.0470530i | ||||
\(889\) | −5.33268 | + | 1.65891i | −0.178852 | + | 0.0556382i | ||||
\(890\) | 0.000692138 | 23.1221i | 2.32005e−5 | 0.775055i | ||||||
\(891\) | 28.8890 | + | 15.7451i | 0.967819 | + | 0.527479i | ||||
\(892\) | 19.6937 | + | 11.3686i | 0.659395 | + | 0.380649i | ||||
\(893\) | 5.46598 | + | 15.0177i | 0.182912 | + | 0.502547i | ||||
\(894\) | −20.0095 | + | 12.9219i | −0.669216 | + | 0.432172i | ||||
\(895\) | −4.04478 | + | 0.713204i | −0.135202 | + | 0.0238398i | ||||
\(896\) | 27.6130 | + | 11.5552i | 0.922485 | + | 0.386033i | ||||
\(897\) | 3.08053 | − | 4.06614i | 0.102856 | − | 0.135764i | ||||
\(898\) | −4.08989 | + | 1.48874i | −0.136481 | + | 0.0496798i | ||||
\(899\) | 15.9163 | + | 27.5679i | 0.530839 | + | 0.919440i | ||||
\(900\) | −9.17728 | − | 12.7679i | −0.305909 | − | 0.425595i | ||||
\(901\) | −9.86726 | + | 17.0906i | −0.328726 | + | 0.569370i | ||||
\(902\) | −22.4876 | + | 8.18557i | −0.748754 | + | 0.272550i | ||||
\(903\) | 27.1550 | + | 32.2107i | 0.903661 | + | 1.07191i | ||||
\(904\) | 15.6577 | − | 13.1407i | 0.520766 | − | 0.437054i | ||||
\(905\) | 3.13327 | − | 8.60859i | 0.104153 | − | 0.286159i | ||||
\(906\) | −3.87808 | − | 4.18005i | −0.128841 | − | 0.138873i | ||||
\(907\) | −53.7402 | − | 9.47584i | −1.78441 | − | 0.314640i | −0.818694 | − | 0.574230i | \(-0.805302\pi\) |
−0.965719 | + | 0.259590i | \(0.916413\pi\) | |||||||
\(908\) | −23.2086 | + | 40.2040i | −0.770205 | + | 1.33422i | ||||
\(909\) | 2.91918 | + | 0.219269i | 0.0968232 | + | 0.00727269i | ||||
\(910\) | 0.549445 | − | 11.5729i | 0.0182139 | − | 0.383639i | ||||
\(911\) | 6.74693 | − | 38.2637i | 0.223536 | − | 1.26773i | −0.641929 | − | 0.766764i | \(-0.721866\pi\) |
0.865465 | − | 0.500970i | \(-0.167023\pi\) | |||||||
\(912\) | 14.9684 | − | 6.31032i | 0.495655 | − | 0.208956i | ||||
\(913\) | 22.5945 | − | 18.9591i | 0.747770 | − | 0.627454i | ||||
\(914\) | −3.77396 | + | 10.3698i | −0.124831 | + | 0.343004i | ||||
\(915\) | −27.3713 | + | 1.36368i | −0.904867 | + | 0.0450818i | ||||
\(916\) | −37.7518 | − | 31.6737i | −1.24736 | − | 1.04653i | ||||
\(917\) | 2.24462 | − | 47.2484i | 0.0741238 | − | 1.56028i | ||||
\(918\) | −39.1538 | − | 0.985401i | −1.29227 | − | 0.0325231i | ||||
\(919\) | 17.9274 | − | 10.3504i | 0.591369 | − | 0.341427i | −0.174269 | − | 0.984698i | \(-0.555756\pi\) |
0.765639 | + | 0.643271i | \(0.222423\pi\) | |||||||
\(920\) | 6.01487 | − | 2.18985i | 0.198305 | − | 0.0721971i | ||||
\(921\) | −3.09793 | + | 0.154343i | −0.102080 | + | 0.00508579i | ||||
\(922\) | −1.88560 | + | 1.58230i | −0.0620989 | + | 0.0521103i | ||||
\(923\) | 30.5826 | + | 11.1312i | 1.00664 | + | 0.366387i | ||||
\(924\) | 5.73987 | − | 33.0095i | 0.188828 | − | 1.08593i | ||||
\(925\) | 2.61281 | − | 14.8180i | 0.0859085 | − | 0.487212i | ||||
\(926\) | 43.2868 | − | 0.00129575i | 1.42249 | − | 4.25810e-5i | ||||
\(927\) | 16.6405 | + | 16.2363i | 0.546545 | + | 0.533269i | ||||
\(928\) | −39.3076 | + | 0.00588318i | −1.29034 | + | 0.000193125i | ||||
\(929\) | 4.97111 | − | 5.92434i | 0.163097 | − | 0.194371i | −0.678306 | − | 0.734779i | \(-0.737286\pi\) |
0.841403 | + | 0.540408i | \(0.181730\pi\) | |||||||
\(930\) | −12.6892 | + | 11.7725i | −0.416094 | + | 0.386035i | ||||
\(931\) | 16.3606 | − | 1.30491i | 0.536197 | − | 0.0427667i | ||||
\(932\) | −0.348977 | − | 0.415844i | −0.0114311 | − | 0.0136214i | ||||
\(933\) | −3.81485 | + | 12.3637i | −0.124893 | + | 0.404768i | ||||
\(934\) | −21.9023 | − | 3.86128i | −0.716664 | − | 0.126345i | ||||
\(935\) | 30.0547 | 0.982892 | ||||||||
\(936\) | −12.1928 | − | 11.8945i | −0.398533 | − | 0.388783i | ||||
\(937\) | 2.52216 | − | 4.36850i | 0.0823952 | − | 0.142713i | −0.821883 | − | 0.569656i | \(-0.807076\pi\) |
0.904278 | + | 0.426943i | \(0.140410\pi\) | |||||||
\(938\) | −10.8594 | + | 11.7607i | −0.354573 | + | 0.384002i | ||||
\(939\) | 12.5103 | + | 29.6851i | 0.408258 | + | 0.968737i | ||||
\(940\) | 20.7083 | − | 3.65271i | 0.675431 | − | 0.119138i | ||||
\(941\) | 12.6754 | − | 34.8254i | 0.413207 | − | 1.13528i | −0.542268 | − | 0.840205i | \(-0.682434\pi\) |
0.955475 | − | 0.295071i | \(-0.0953434\pi\) | |||||||
\(942\) | −34.4478 | + | 1.71728i | −1.12237 | + | 0.0559518i | ||||
\(943\) | −6.68822 | − | 1.17931i | −0.217798 | − | 0.0384037i | ||||
\(944\) | 48.1968 | − | 0.00577090i | 1.56867 | − | 0.000187827i | ||||
\(945\) | 19.3481 | + | 8.68047i | 0.629392 | + | 0.282376i | ||||
\(946\) | −47.5295 | + | 0.00142275i | −1.54532 | + | 4.62576e-5i | ||||
\(947\) | 2.31345 | − | 13.1202i | 0.0751769 | − | 0.426349i | −0.923870 | − | 0.382706i | \(-0.874992\pi\) |
0.999047 | − | 0.0436435i | \(-0.0138966\pi\) | |||||||
\(948\) | 5.46688 | + | 8.46487i | 0.177556 | + | 0.274926i | ||||
\(949\) | 25.0646 | + | 9.12277i | 0.813631 | + | 0.296138i | ||||
\(950\) | 1.50920 | + | 8.55758i | 0.0489648 | + | 0.277644i | ||||
\(951\) | −3.56093 | + | 28.3957i | −0.115471 | + | 0.920794i | ||||
\(952\) | 11.8510 | + | 38.0836i | 0.384092 | + | 1.23430i | ||||
\(953\) | 8.29019 | + | 4.78634i | 0.268546 | + | 0.155045i | 0.628227 | − | 0.778030i | \(-0.283781\pi\) |
−0.359681 | + | 0.933075i | \(0.617114\pi\) | |||||||
\(954\) | 1.17617 | − | 15.6649i | 0.0380799 | − | 0.507170i | ||||
\(955\) | 17.1499i | 0.554958i | ||||||||
\(956\) | 0.0816665 | − | 0.463316i | 0.00264128 | − | 0.0149847i | ||||
\(957\) | 9.78673 | + | 42.8955i | 0.316360 | + | 1.38661i | ||||
\(958\) | −10.6606 | − | 12.7040i | −0.344429 | − | 0.410449i | ||||
\(959\) | 43.9839 | + | 18.4168i | 1.42031 | + | 0.594709i | ||||
\(960\) | −4.75804 | − | 20.8374i | −0.153565 | − | 0.672524i | ||||
\(961\) | 7.67074 | + | 6.43652i | 0.247443 | + | 0.207630i | ||||
\(962\) | −0.000487919 | − | 16.2998i | −1.57311e−5 | − | 0.525527i | ||||
\(963\) | 15.5803 | − | 34.5135i | 0.502067 | − | 1.11218i | ||||
\(964\) | 22.5910 | − | 0.00135248i | 0.727608 | − | 4.35605e-5i | ||||
\(965\) | −32.8707 | − | 5.79600i | −1.05815 | − | 0.186580i | ||||
\(966\) | 6.09480 | − | 7.29810i | 0.196097 | − | 0.234812i | ||||
\(967\) | −11.3077 | + | 31.0678i | −0.363633 | + | 0.999073i | 0.614102 | + | 0.789227i | \(0.289518\pi\) |
−0.977735 | + | 0.209846i | \(0.932704\pi\) | |||||||
\(968\) | 4.29838 | + | 5.12167i | 0.138155 | + | 0.164617i | ||||
\(969\) | 19.2602 | + | 9.87623i | 0.618727 | + | 0.317270i | ||||
\(970\) | −27.1215 | + | 9.87234i | −0.870819 | + | 0.316982i | ||||
\(971\) | −7.30497 | − | 12.6526i | −0.234428 | − | 0.406040i | 0.724679 | − | 0.689087i | \(-0.241988\pi\) |
−0.959106 | + | 0.283047i | \(0.908655\pi\) | |||||||
\(972\) | 28.4227 | − | 12.8121i | 0.911659 | − | 0.410948i | ||||
\(973\) | −28.2278 | + | 43.9357i | −0.904941 | + | 1.40852i | ||||
\(974\) | 17.3855 | + | 14.5873i | 0.557067 | + | 0.467406i | ||||
\(975\) | 7.65465 | − | 4.94296i | 0.245145 | − | 0.158301i | ||||
\(976\) | 38.5574 | + | 14.0285i | 1.23419 | + | 0.449042i | ||||
\(977\) | 11.4544 | + | 13.6508i | 0.366458 | + | 0.436727i | 0.917491 | − | 0.397756i | \(-0.130211\pi\) |
−0.551034 | + | 0.834483i | \(0.685766\pi\) | |||||||
\(978\) | 25.3919 | + | 3.18348i | 0.811945 | + | 0.101796i | ||||
\(979\) | −38.1595 | − | 6.72854i | −1.21958 | − | 0.215045i | ||||
\(980\) | 2.04593 | − | 21.4981i | 0.0653548 | − | 0.686731i | ||||
\(981\) | −15.3518 | + | 1.53350i | −0.490145 | + | 0.0489610i | ||||
\(982\) | 45.0789 | + | 26.0245i | 1.43853 | + | 0.830476i | ||||
\(983\) | −2.70187 | + | 15.3231i | −0.0861764 | + | 0.488731i | 0.910920 | + | 0.412583i | \(0.135373\pi\) |
−0.997097 | + | 0.0761480i | \(0.975738\pi\) | |||||||
\(984\) | −6.68406 | + | 21.6695i | −0.213080 | + | 0.690798i | ||||
\(985\) | −38.0352 | − | 13.8437i | −1.21190 | − | 0.441096i | ||||
\(986\) | −33.6678 | − | 40.1212i | −1.07220 | − | 1.27772i | ||||
\(987\) | 23.8813 | − | 20.1330i | 0.760151 | − | 0.640839i | ||||
\(988\) | 3.22011 | + | 8.84552i | 0.102445 | + | 0.281414i | ||||
\(989\) | −11.6813 | − | 6.74420i | −0.371444 | − | 0.214453i | ||||
\(990\) | −21.5563 | + | 10.3772i | −0.685103 | + | 0.329808i | ||||
\(991\) | 53.4790 | − | 30.8761i | 1.69882 | − | 0.980813i | 0.751933 | − | 0.659240i | \(-0.229122\pi\) |
0.946885 | − | 0.321573i | \(-0.104212\pi\) | |||||||
\(992\) | 24.3505 | − | 8.86698i | 0.773129 | − | 0.281527i | ||||
\(993\) | −3.52026 | + | 28.0714i | −0.111712 | + | 0.890817i | ||||
\(994\) | 55.9552 | + | 23.4274i | 1.77479 | + | 0.743073i | ||||
\(995\) | 1.72570 | + | 9.78695i | 0.0547085 | + | 0.310267i | ||||
\(996\) | −1.39242 | − | 27.9147i | −0.0441207 | − | 0.884510i | ||||
\(997\) | −1.08363 | + | 0.394407i | −0.0343188 | + | 0.0124910i | −0.359122 | − | 0.933290i | \(-0.616924\pi\) |
0.324804 | + | 0.945781i | \(0.394702\pi\) | |||||||
\(998\) | 8.75651 | − | 15.1678i | 0.277182 | − | 0.480127i | ||||
\(999\) | 27.7688 | + | 10.9067i | 0.878566 | + | 0.345074i |
(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 | 756.2.bs.a.11.8 | ✓ | 840 | |
4.3 | odd | 2 | inner | 756.2.bs.a.11.9 | yes | 840 | |
7.2 | even | 3 | 756.2.ci.a.443.87 | yes | 840 | ||
27.5 | odd | 18 | 756.2.ci.a.599.86 | yes | 840 | ||
28.23 | odd | 6 | 756.2.ci.a.443.86 | yes | 840 | ||
108.59 | even | 18 | 756.2.ci.a.599.87 | yes | 840 | ||
189.86 | odd | 18 | inner | 756.2.bs.a.275.9 | yes | 840 | |
756.275 | even | 18 | inner | 756.2.bs.a.275.8 | yes | 840 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
756.2.bs.a.11.8 | ✓ | 840 | 1.1 | even | 1 | trivial | |
756.2.bs.a.11.9 | yes | 840 | 4.3 | odd | 2 | inner | |
756.2.bs.a.275.8 | yes | 840 | 756.275 | even | 18 | inner | |
756.2.bs.a.275.9 | yes | 840 | 189.86 | odd | 18 | inner | |
756.2.ci.a.443.86 | yes | 840 | 28.23 | odd | 6 | ||
756.2.ci.a.443.87 | yes | 840 | 7.2 | even | 3 | ||
756.2.ci.a.599.86 | yes | 840 | 27.5 | odd | 18 | ||
756.2.ci.a.599.87 | yes | 840 | 108.59 | even | 18 |