Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,10,Mod(9,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 10, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.9");
S:= CuspForms(chi, 10);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 10 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.g (of order \(21\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(22.1465409550\) |
Analytic rank: | \(0\) |
Dimension: | \(384\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 9.18 | ||
Character | \(\chi\) | \(=\) | 43.9 |
Dual form | 43.10.g.a.24.18 |
$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{1}{21}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 3.74995 | + | 4.70229i | 0.165726 | + | 0.207814i | 0.857759 | − | 0.514052i | \(-0.171856\pi\) |
−0.692033 | + | 0.721866i | \(0.743285\pi\) | |||||||
\(3\) | 29.2285 | + | 4.40549i | 0.208335 | + | 0.0314014i | 0.252380 | − | 0.967628i | \(-0.418787\pi\) |
−0.0440457 | + | 0.999030i | \(0.514025\pi\) | |||||||
\(4\) | 105.881 | − | 463.896i | 0.206799 | − | 0.906047i | ||||
\(5\) | 328.917 | + | 224.252i | 0.235354 | + | 0.160462i | 0.675254 | − | 0.737585i | \(-0.264034\pi\) |
−0.439900 | + | 0.898047i | \(0.644986\pi\) | |||||||
\(6\) | 88.8898 | + | 153.962i | 0.0280008 | + | 0.0484989i | ||||
\(7\) | 2917.98 | − | 5054.09i | 0.459347 | − | 0.795612i | −0.539580 | − | 0.841935i | \(-0.681417\pi\) |
0.998927 | + | 0.0463224i | \(0.0147501\pi\) | |||||||
\(8\) | 5352.87 | − | 2577.81i | 0.462043 | − | 0.222508i | ||||
\(9\) | −17973.6 | − | 5544.13i | −0.913156 | − | 0.281671i | ||||
\(10\) | 178.926 | + | 2387.60i | 0.00565813 | + | 0.0755025i | ||||
\(11\) | 11485.7 | + | 50322.0i | 0.236531 | + | 1.03631i | 0.944098 | + | 0.329665i | \(0.106936\pi\) |
−0.707566 | + | 0.706647i | \(0.750207\pi\) | |||||||
\(12\) | 5138.45 | − | 13092.6i | 0.0715346 | − | 0.182267i | ||||
\(13\) | 10237.6 | − | 136611.i | 0.0994149 | − | 1.32660i | −0.694906 | − | 0.719101i | \(-0.744554\pi\) |
0.794321 | − | 0.607499i | \(-0.207827\pi\) | |||||||
\(14\) | 34708.1 | − | 5231.40i | 0.241465 | − | 0.0363950i | ||||
\(15\) | 8625.83 | + | 8003.60i | 0.0439937 | + | 0.0408202i | ||||
\(16\) | −187302. | − | 90200.0i | −0.714501 | − | 0.344086i | ||||
\(17\) | −245586. | + | 167437.i | −0.713153 | + | 0.486219i | −0.864737 | − | 0.502225i | \(-0.832515\pi\) |
0.151584 | + | 0.988444i | \(0.451563\pi\) | |||||||
\(18\) | −41330.2 | − | 105308.i | −0.0927985 | − | 0.236447i | ||||
\(19\) | −476246. | + | 146903.i | −0.838379 | + | 0.258606i | −0.684070 | − | 0.729417i | \(-0.739792\pi\) |
−0.154310 | + | 0.988023i | \(0.549315\pi\) | |||||||
\(20\) | 138856. | − | 128839.i | 0.194057 | − | 0.180058i | ||||
\(21\) | 107554. | − | 134868.i | 0.120681 | − | 0.151329i | ||||
\(22\) | −193558. | + | 242714.i | −0.176161 | + | 0.220899i | ||||
\(23\) | 1.37504e6 | − | 1.27585e6i | 1.02457 | − | 0.950658i | 0.0257669 | − | 0.999668i | \(-0.491797\pi\) |
0.998798 | + | 0.0490105i | \(0.0156068\pi\) | |||||||
\(24\) | 167813. | − | 51763.5i | 0.103247 | − | 0.0318473i | ||||
\(25\) | −655659. | − | 1.67059e6i | −0.335697 | − | 0.855343i | ||||
\(26\) | 680774. | − | 464144.i | 0.292162 | − | 0.199192i | ||||
\(27\) | −1.02511e6 | − | 493665.i | −0.371220 | − | 0.178770i | ||||
\(28\) | −2.03561e6 | − | 1.88877e6i | −0.625870 | − | 0.580722i | ||||
\(29\) | 2.86487e6 | − | 431810.i | 0.752167 | − | 0.113371i | 0.238242 | − | 0.971206i | \(-0.423429\pi\) |
0.513925 | + | 0.857835i | \(0.328191\pi\) | |||||||
\(30\) | −5288.81 | + | 70574.3i | −0.00119210 | + | 0.0159075i | ||||
\(31\) | 397917. | − | 1.01388e6i | 0.0773865 | − | 0.197178i | −0.886945 | − | 0.461875i | \(-0.847177\pi\) |
0.964332 | + | 0.264697i | \(0.0852721\pi\) | |||||||
\(32\) | −955118. | − | 4.18464e6i | −0.161021 | − | 0.705478i | ||||
\(33\) | 114016. | + | 1.52144e6i | 0.0167361 | + | 0.223327i | ||||
\(34\) | −1.70827e6 | − | 526933.i | −0.219231 | − | 0.0676239i | ||||
\(35\) | 2.09316e6 | − | 1.00801e6i | 0.235774 | − | 0.113543i | ||||
\(36\) | −4.47498e6 | + | 7.75089e6i | −0.444048 | + | 0.769113i | ||||
\(37\) | −1.11916e7 | − | 1.93844e7i | −0.981712 | − | 1.70038i | −0.655723 | − | 0.755002i | \(-0.727636\pi\) |
−0.325989 | − | 0.945374i | \(-0.605697\pi\) | |||||||
\(38\) | −2.47668e6 | − | 1.68857e6i | −0.192683 | − | 0.131369i | ||||
\(39\) | 901067. | − | 3.94783e6i | 0.0623686 | − | 0.273255i | ||||
\(40\) | 2.33873e6 | + | 352507.i | 0.144448 | + | 0.0217720i | ||||
\(41\) | −1.69923e7 | − | 2.13076e7i | −0.939127 | − | 1.17763i | −0.983916 | − | 0.178632i | \(-0.942833\pi\) |
0.0447889 | − | 0.998996i | \(-0.485738\pi\) | |||||||
\(42\) | 1.03751e6 | 0.0514484 | ||||||||
\(43\) | 2.20579e7 | + | 4.00520e6i | 0.983912 | + | 0.178655i | ||||
\(44\) | 2.45603e7 | 0.987863 | ||||||||
\(45\) | −4.66856e6 | − | 5.85418e6i | −0.169717 | − | 0.212819i | ||||
\(46\) | 1.11557e7 | + | 1.68146e6i | 0.367357 | + | 0.0553702i | ||||
\(47\) | −3.75046e6 | + | 1.64318e7i | −0.112110 | + | 0.491185i | 0.887433 | + | 0.460938i | \(0.152487\pi\) |
−0.999542 | + | 0.0302479i | \(0.990370\pi\) | |||||||
\(48\) | −5.07719e6 | − | 3.46157e6i | −0.138051 | − | 0.0941213i | ||||
\(49\) | 3.14761e6 | + | 5.45183e6i | 0.0780008 | + | 0.135101i | ||||
\(50\) | 5.39692e6 | − | 9.34775e6i | 0.122118 | − | 0.211515i | ||||
\(51\) | −7.91575e6 | + | 3.81203e6i | −0.163842 | + | 0.0789024i | ||||
\(52\) | −6.22893e7 | − | 1.92137e7i | −1.18140 | − | 0.364415i | ||||
\(53\) | 2.71565e6 | + | 3.62378e7i | 0.0472750 | + | 0.630841i | 0.969642 | + | 0.244527i | \(0.0786328\pi\) |
−0.922367 | + | 0.386314i | \(0.873748\pi\) | |||||||
\(54\) | −1.52274e6 | − | 6.67157e6i | −0.0243699 | − | 0.106772i | ||||
\(55\) | −7.50697e6 | + | 1.91274e7i | −0.110620 | + | 0.281854i | ||||
\(56\) | 2.59110e6 | − | 3.45759e7i | 0.0352078 | − | 0.469815i | ||||
\(57\) | −1.45672e7 | + | 2.19565e6i | −0.182784 | + | 0.0275503i | ||||
\(58\) | 1.27736e7 | + | 1.18522e7i | 0.148214 | + | 0.137522i | ||||
\(59\) | 7.64369e7 | + | 3.68101e7i | 0.821238 | + | 0.395487i | 0.796822 | − | 0.604215i | \(-0.206513\pi\) |
0.0244162 | + | 0.999702i | \(0.492227\pi\) | |||||||
\(60\) | 4.62615e6 | − | 3.15406e6i | 0.0460829 | − | 0.0314188i | ||||
\(61\) | 3.73861e7 | + | 9.52583e7i | 0.345721 | + | 0.880884i | 0.992944 | + | 0.118583i | \(0.0378352\pi\) |
−0.647223 | + | 0.762301i | \(0.724070\pi\) | |||||||
\(62\) | 6.25972e6 | − | 1.93087e6i | 0.0538012 | − | 0.0165955i | ||||
\(63\) | −8.04672e7 | + | 7.46627e7i | −0.643556 | + | 0.597133i | ||||
\(64\) | −5.02682e7 | + | 6.30343e7i | −0.374527 | + | 0.469642i | ||||
\(65\) | 3.40025e7 | − | 4.26378e7i | 0.236266 | − | 0.296268i | ||||
\(66\) | −6.72669e6 | + | 6.24146e6i | −0.0436369 | + | 0.0404891i | ||||
\(67\) | −7.60665e7 | + | 2.34634e7i | −0.461166 | + | 0.142251i | −0.516628 | − | 0.856210i | \(-0.672813\pi\) |
0.0554622 | + | 0.998461i | \(0.482337\pi\) | |||||||
\(68\) | 5.16707e7 | + | 1.31655e8i | 0.293058 | + | 0.746700i | ||||
\(69\) | 4.58111e7 | − | 3.12335e7i | 0.243304 | − | 0.165882i | ||||
\(70\) | 1.25892e7 | + | 6.06266e6i | 0.0626698 | + | 0.0301802i | ||||
\(71\) | 2.92580e8 | + | 2.71475e8i | 1.36641 | + | 1.26785i | 0.929734 | + | 0.368231i | \(0.120037\pi\) |
0.436681 | + | 0.899617i | \(0.356154\pi\) | |||||||
\(72\) | −1.10502e8 | + | 1.66555e7i | −0.484591 | + | 0.0730403i | ||||
\(73\) | 1.63652e7 | − | 2.18379e8i | 0.0674481 | − | 0.900032i | −0.856164 | − | 0.516704i | \(-0.827159\pi\) |
0.923612 | − | 0.383328i | \(-0.125222\pi\) | |||||||
\(74\) | 4.91832e7 | − | 1.25317e8i | 0.190666 | − | 0.485810i | ||||
\(75\) | −1.18042e7 | − | 5.17175e7i | −0.0430784 | − | 0.188739i | ||||
\(76\) | 1.77220e7 | + | 2.36483e8i | 0.0609327 | + | 0.813091i | ||||
\(77\) | 2.87846e8 | + | 8.87889e7i | 0.933153 | + | 0.287839i | ||||
\(78\) | 2.19428e7 | − | 1.05671e7i | 0.0671223 | − | 0.0323244i | ||||
\(79\) | −7.89209e7 | + | 1.36695e8i | −0.227966 | + | 0.394849i | −0.957205 | − | 0.289410i | \(-0.906541\pi\) |
0.729239 | + | 0.684259i | \(0.239874\pi\) | |||||||
\(80\) | −4.13794e7 | − | 7.16712e7i | −0.112948 | − | 0.195632i | ||||
\(81\) | 2.78105e8 | + | 1.89609e8i | 0.717838 | + | 0.489414i | ||||
\(82\) | 3.64745e7 | − | 1.59805e8i | 0.0890897 | − | 0.390327i | ||||
\(83\) | −7.08842e8 | − | 1.06841e8i | −1.63945 | − | 0.247107i | −0.736370 | − | 0.676579i | \(-0.763462\pi\) |
−0.903080 | + | 0.429472i | \(0.858700\pi\) | |||||||
\(84\) | −5.11770e7 | − | 6.41739e7i | −0.112155 | − | 0.140638i | ||||
\(85\) | −1.18325e8 | −0.245863 | ||||||||
\(86\) | 6.38825e7 | + | 1.18742e8i | 0.125933 | + | 0.234078i | ||||
\(87\) | 8.56384e7 | 0.160262 | ||||||||
\(88\) | 1.91202e8 | + | 2.39759e8i | 0.339875 | + | 0.426190i | ||||
\(89\) | 1.60148e8 | + | 2.41384e7i | 0.270562 | + | 0.0407807i | 0.282922 | − | 0.959143i | \(-0.408696\pi\) |
−0.0123599 | + | 0.999924i | \(0.503934\pi\) | |||||||
\(90\) | 1.00212e7 | − | 4.39058e7i | 0.0161001 | − | 0.0705393i | ||||
\(91\) | −6.60570e8 | − | 4.50369e8i | −1.00979 | − | 0.688465i | ||||
\(92\) | −4.46271e8 | − | 7.72964e8i | −0.649461 | − | 1.12490i | ||||
\(93\) | 1.60972e7 | − | 2.78811e7i | 0.0223139 | − | 0.0386489i | ||||
\(94\) | −9.13313e7 | + | 4.39828e7i | −0.120655 | + | 0.0581043i | ||||
\(95\) | −1.89589e8 | − | 5.84804e7i | −0.238812 | − | 0.0736638i | ||||
\(96\) | −9.48127e6 | − | 1.26519e8i | −0.0113932 | − | 0.152032i | ||||
\(97\) | −1.03896e8 | − | 4.55197e8i | −0.119158 | − | 0.522067i | −0.998912 | − | 0.0466372i | \(-0.985150\pi\) |
0.879753 | − | 0.475430i | \(-0.157708\pi\) | |||||||
\(98\) | −1.38327e7 | + | 3.52451e7i | −0.0151492 | + | 0.0385995i | ||||
\(99\) | 7.25526e7 | − | 9.68147e8i | 0.0759092 | − | 1.01294i | ||||
\(100\) | −8.44404e8 | + | 1.27273e8i | −0.844404 | + | 0.127273i | ||||
\(101\) | 1.16488e9 | + | 1.08085e9i | 1.11387 | + | 1.03352i | 0.999195 | + | 0.0401212i | \(0.0127744\pi\) |
0.114679 | + | 0.993403i | \(0.463416\pi\) | |||||||
\(102\) | −4.76090e7 | − | 2.29273e7i | −0.0435500 | − | 0.0209726i | ||||
\(103\) | 5.31733e8 | − | 3.62529e8i | 0.465507 | − | 0.317377i | −0.307753 | − | 0.951466i | \(-0.599577\pi\) |
0.773260 | + | 0.634089i | \(0.218625\pi\) | |||||||
\(104\) | −2.97356e8 | − | 7.57651e8i | −0.249245 | − | 0.635066i | ||||
\(105\) | 6.56208e7 | − | 2.02413e7i | 0.0526854 | − | 0.0162513i | ||||
\(106\) | −1.60217e8 | + | 1.48660e8i | −0.123263 | + | 0.114371i | ||||
\(107\) | 7.34785e8 | − | 9.21391e8i | 0.541918 | − | 0.679543i | −0.433183 | − | 0.901306i | \(-0.642610\pi\) |
0.975101 | + | 0.221763i | \(0.0711810\pi\) | |||||||
\(108\) | −3.37549e8 | + | 4.23273e8i | −0.238742 | + | 0.299374i | ||||
\(109\) | 2.11484e9 | − | 1.96228e9i | 1.43502 | − | 1.33150i | 0.578194 | − | 0.815899i | \(-0.303758\pi\) |
0.856826 | − | 0.515605i | \(-0.172433\pi\) | |||||||
\(110\) | −1.18094e8 | + | 3.64271e7i | −0.0769058 | + | 0.0237223i | ||||
\(111\) | −2.41716e8 | − | 6.15882e8i | −0.151130 | − | 0.385074i | ||||
\(112\) | −1.00242e9 | + | 6.83440e8i | −0.601962 | + | 0.410411i | ||||
\(113\) | −1.45416e9 | − | 7.00287e8i | −0.838995 | − | 0.404039i | −0.0355141 | − | 0.999369i | \(-0.511307\pi\) |
−0.803481 | + | 0.595330i | \(0.797021\pi\) | |||||||
\(114\) | −6.49508e7 | − | 6.02655e7i | −0.0360174 | − | 0.0334193i | ||||
\(115\) | 7.38385e8 | − | 1.11294e8i | 0.393679 | − | 0.0593376i | ||||
\(116\) | 1.03021e8 | − | 1.37472e9i | 0.0528283 | − | 0.704944i | ||||
\(117\) | −9.41395e8 | + | 2.39863e9i | −0.464446 | + | 1.18339i | ||||
\(118\) | 1.13543e8 | + | 4.97465e8i | 0.0539128 | + | 0.236207i | ||||
\(119\) | 1.29630e8 | + | 1.72979e9i | 0.0592575 | + | 0.790737i | ||||
\(120\) | 6.68047e7 | + | 2.06065e7i | 0.0294098 | + | 0.00907171i | ||||
\(121\) | −2.75943e8 | + | 1.32887e8i | −0.117027 | + | 0.0563571i | ||||
\(122\) | −3.07736e8 | + | 5.33015e8i | −0.125765 | + | 0.217831i | ||||
\(123\) | −4.02789e8 | − | 6.97651e8i | −0.158674 | − | 0.274831i | ||||
\(124\) | −4.28202e8 | − | 2.91943e8i | −0.162649 | − | 0.110892i | ||||
\(125\) | 3.31990e8 | − | 1.45454e9i | 0.121627 | − | 0.532883i | ||||
\(126\) | −6.52834e8 | − | 9.83989e7i | −0.230747 | − | 0.0347795i | ||||
\(127\) | 2.24718e9 | + | 2.81788e9i | 0.766517 | + | 0.961182i | 0.999937 | − | 0.0111943i | \(-0.00356332\pi\) |
−0.233421 | + | 0.972376i | \(0.574992\pi\) | |||||||
\(128\) | −2.68255e9 | −0.883288 | ||||||||
\(129\) | 6.27075e8 | + | 2.14242e8i | 0.199373 | + | 0.0681163i | ||||
\(130\) | 3.28004e8 | 0.100724 | ||||||||
\(131\) | 3.71681e9 | + | 4.66073e9i | 1.10268 | + | 1.38272i | 0.916421 | + | 0.400216i | \(0.131065\pi\) |
0.186259 | + | 0.982501i | \(0.440364\pi\) | |||||||
\(132\) | 7.17862e8 | + | 1.08200e8i | 0.205806 | + | 0.0310203i | ||||
\(133\) | −6.47218e8 | + | 2.83565e9i | −0.179357 | + | 0.785814i | ||||
\(134\) | −3.95578e8 | − | 2.69700e8i | −0.105989 | − | 0.0722620i | ||||
\(135\) | −2.26470e8 | − | 3.92257e8i | −0.0586824 | − | 0.101641i | ||||
\(136\) | −8.82967e8 | + | 1.52934e9i | −0.221319 | + | 0.383336i | ||||
\(137\) | 7.83878e8 | − | 3.77496e8i | 0.190110 | − | 0.0915523i | −0.336407 | − | 0.941717i | \(-0.609212\pi\) |
0.526517 | + | 0.850164i | \(0.323498\pi\) | |||||||
\(138\) | 3.18659e8 | + | 9.82932e7i | 0.0747945 | + | 0.0230711i | ||||
\(139\) | −6.01636e8 | − | 8.02828e9i | −0.136700 | − | 1.82413i | −0.471528 | − | 0.881851i | \(-0.656297\pi\) |
0.334828 | − | 0.942279i | \(-0.391322\pi\) | |||||||
\(140\) | −2.45987e8 | − | 1.07774e9i | −0.0541173 | − | 0.237103i | ||||
\(141\) | −1.82011e8 | + | 4.63756e8i | −0.0387803 | + | 0.0988105i | ||||
\(142\) | −1.79392e8 | + | 2.39382e9i | −0.0370259 | + | 0.494076i | ||||
\(143\) | 6.99211e9 | − | 1.05389e9i | 1.39829 | − | 0.210758i | ||||
\(144\) | 2.86642e9 | + | 2.65965e9i | 0.555532 | + | 0.515458i | ||||
\(145\) | 1.03914e9 | + | 5.00423e8i | 0.195217 | + | 0.0940116i | ||||
\(146\) | 1.08825e9 | − | 7.41957e8i | 0.198217 | − | 0.135142i | ||||
\(147\) | 6.79822e7 | + | 1.73216e8i | 0.0120079 | + | 0.0305956i | ||||
\(148\) | −1.01773e10 | + | 3.13929e9i | −1.74364 | + | 0.537841i | ||||
\(149\) | −4.95442e9 | + | 4.59703e9i | −0.823482 | + | 0.764080i | −0.974485 | − | 0.224454i | \(-0.927940\pi\) |
0.151003 | + | 0.988533i | \(0.451750\pi\) | |||||||
\(150\) | 1.98926e8 | − | 2.49445e8i | 0.0320834 | − | 0.0402313i | ||||
\(151\) | −1.78552e9 | + | 2.23898e9i | −0.279492 | + | 0.350472i | −0.901686 | − | 0.432391i | \(-0.857670\pi\) |
0.622194 | + | 0.782863i | \(0.286241\pi\) | |||||||
\(152\) | −2.17060e9 | + | 2.01402e9i | −0.329825 | + | 0.306033i | ||||
\(153\) | 5.34236e9 | − | 1.64790e9i | 0.788174 | − | 0.243119i | ||||
\(154\) | 6.61900e8 | + | 1.68649e9i | 0.0948307 | + | 0.241625i | ||||
\(155\) | 3.58246e8 | − | 2.44248e8i | 0.0498526 | − | 0.0339890i | ||||
\(156\) | −1.73598e9 | − | 8.36003e8i | −0.234684 | − | 0.113018i | ||||
\(157\) | 6.49184e9 | + | 6.02355e9i | 0.852746 | + | 0.791232i | 0.979656 | − | 0.200682i | \(-0.0643157\pi\) |
−0.126911 | + | 0.991914i | \(0.540506\pi\) | |||||||
\(158\) | −9.38730e8 | + | 1.41491e8i | −0.119835 | + | 0.0180622i | ||||
\(159\) | −8.02709e7 | + | 1.07114e9i | −0.00996027 | + | 0.132911i | ||||
\(160\) | 6.24260e8 | − | 1.59059e9i | 0.0753053 | − | 0.191875i | ||||
\(161\) | −2.43592e9 | − | 1.06725e10i | −0.285724 | − | 1.25184i | ||||
\(162\) | 1.51285e8 | + | 2.01876e9i | 0.0172575 | + | 0.230285i | ||||
\(163\) | 1.13806e10 | + | 3.51046e9i | 1.26276 | + | 0.389511i | 0.852631 | − | 0.522514i | \(-0.175006\pi\) |
0.410134 | + | 0.912025i | \(0.365482\pi\) | |||||||
\(164\) | −1.16837e10 | + | 5.62658e9i | −1.26120 | + | 0.607361i | ||||
\(165\) | −3.03683e8 | + | 5.25995e8i | −0.0318965 | + | 0.0552464i | ||||
\(166\) | −2.15573e9 | − | 3.73383e9i | −0.220347 | − | 0.381653i | ||||
\(167\) | 5.83491e8 | + | 3.97817e8i | 0.0580510 | + | 0.0395785i | 0.591998 | − | 0.805940i | \(-0.298339\pi\) |
−0.533947 | + | 0.845518i | \(0.679292\pi\) | |||||||
\(168\) | 2.28058e8 | − | 9.99187e8i | 0.0220878 | − | 0.0967732i | ||||
\(169\) | −8.07164e9 | − | 1.21660e9i | −0.761152 | − | 0.114725i | ||||
\(170\) | −4.43715e8 | − | 5.56401e8i | −0.0407459 | − | 0.0510937i | ||||
\(171\) | 9.37433e9 | 0.838412 | ||||||||
\(172\) | 4.19352e9 | − | 9.80850e9i | 0.365343 | − | 0.854525i | ||||
\(173\) | −7.52578e8 | −0.0638769 | −0.0319384 | − | 0.999490i | \(-0.510168\pi\) | ||||
−0.0319384 | + | 0.999490i | \(0.510168\pi\) | |||||||
\(174\) | 3.21140e8 | + | 4.02697e8i | 0.0265597 | + | 0.0333048i | ||||
\(175\) | −1.03565e10 | − | 1.56099e9i | −0.834723 | − | 0.125814i | ||||
\(176\) | 2.38775e9 | − | 1.04614e10i | 0.187578 | − | 0.821833i | ||||
\(177\) | 2.07197e9 | + | 1.41265e9i | 0.158673 | + | 0.108182i | ||||
\(178\) | 4.87042e8 | + | 8.43582e8i | 0.0363644 | + | 0.0629850i | ||||
\(179\) | −2.96226e9 | + | 5.13079e9i | −0.215668 | + | 0.373547i | −0.953479 | − | 0.301460i | \(-0.902526\pi\) |
0.737811 | + | 0.675007i | \(0.235859\pi\) | |||||||
\(180\) | −3.21005e9 | + | 1.54588e9i | −0.227921 | + | 0.109761i | ||||
\(181\) | 9.32487e9 | + | 2.87634e9i | 0.645787 | + | 0.199199i | 0.600311 | − | 0.799766i | \(-0.295043\pi\) |
0.0454759 | + | 0.998965i | \(0.485520\pi\) | |||||||
\(182\) | −3.59340e8 | − | 4.79505e9i | −0.0242764 | − | 0.323946i | ||||
\(183\) | 6.73082e8 | + | 2.94897e9i | 0.0443648 | + | 0.194375i | ||||
\(184\) | 4.07151e9 | − | 1.03740e10i | 0.261864 | − | 0.667218i | ||||
\(185\) | 6.65884e8 | − | 8.88560e9i | 0.0417951 | − | 0.557717i | ||||
\(186\) | 1.91469e8 | − | 2.88593e7i | 0.0117298 | − | 0.00176798i | ||||
\(187\) | −1.12465e10 | − | 1.04352e10i | −0.672558 | − | 0.624043i | ||||
\(188\) | 7.22556e9 | + | 3.47965e9i | 0.421853 | + | 0.203154i | ||||
\(189\) | −5.48626e9 | + | 3.74047e9i | −0.312751 | + | 0.213230i | ||||
\(190\) | −4.35957e8 | − | 1.11080e9i | −0.0242690 | − | 0.0618365i | ||||
\(191\) | −3.78282e9 | + | 1.16684e9i | −0.205667 | + | 0.0634399i | −0.395877 | − | 0.918304i | \(-0.629559\pi\) |
0.190210 | + | 0.981743i | \(0.439083\pi\) | |||||||
\(192\) | −1.74696e9 | + | 1.62094e9i | −0.0927744 | + | 0.0860821i | ||||
\(193\) | 1.70837e10 | − | 2.14223e10i | 0.886286 | − | 1.11137i | −0.106836 | − | 0.994277i | \(-0.534072\pi\) |
0.993121 | − | 0.117090i | \(-0.0373567\pi\) | |||||||
\(194\) | 1.75087e9 | − | 2.19552e9i | 0.0887452 | − | 0.111283i | ||||
\(195\) | 1.18169e9 | − | 1.09644e9i | 0.0585256 | − | 0.0543038i | ||||
\(196\) | 2.86236e9 | − | 8.82920e8i | 0.138539 | − | 0.0427336i | ||||
\(197\) | −7.56445e9 | − | 1.92739e10i | −0.357832 | − | 0.911742i | −0.990524 | − | 0.137338i | \(-0.956145\pi\) |
0.632692 | − | 0.774404i | \(-0.281950\pi\) | |||||||
\(198\) | 4.82458e9 | − | 3.28934e9i | 0.223083 | − | 0.152095i | ||||
\(199\) | −8.61059e9 | − | 4.14664e9i | −0.389219 | − | 0.187438i | 0.229032 | − | 0.973419i | \(-0.426444\pi\) |
−0.618251 | + | 0.785981i | \(0.712158\pi\) | |||||||
\(200\) | −7.81613e9 | − | 7.25231e9i | −0.345427 | − | 0.320510i | ||||
\(201\) | −2.32668e9 | + | 3.50691e8i | −0.100544 | + | 0.0151545i | ||||
\(202\) | −7.14232e8 | + | 9.53077e9i | −0.0301827 | + | 0.402760i | ||||
\(203\) | 6.17723e9 | − | 1.57393e10i | 0.255306 | − | 0.650510i | ||||
\(204\) | 9.30254e8 | + | 4.07571e9i | 0.0376068 | + | 0.164766i | ||||
\(205\) | −8.10772e8 | − | 1.08190e10i | −0.0320632 | − | 0.427853i | ||||
\(206\) | 3.69869e9 | + | 1.14090e9i | 0.143102 | + | 0.0441412i | ||||
\(207\) | −3.17879e10 | + | 1.53083e10i | −1.20336 | + | 0.579508i | ||||
\(208\) | −1.42398e10 | + | 2.46641e10i | −0.527496 | + | 0.913649i | ||||
\(209\) | −1.28624e10 | − | 2.22784e10i | −0.466299 | − | 0.807654i | ||||
\(210\) | 3.41256e8 | + | 2.32664e8i | 0.0121086 | + | 0.00825549i | ||||
\(211\) | −9.28772e9 | + | 4.06921e10i | −0.322580 | + | 1.41332i | 0.510363 | + | 0.859959i | \(0.329511\pi\) |
−0.832944 | + | 0.553358i | \(0.813346\pi\) | |||||||
\(212\) | 1.70981e10 | + | 2.57712e9i | 0.581348 | + | 0.0876242i | ||||
\(213\) | 7.35572e9 | + | 9.22378e9i | 0.244859 | + | 0.307044i | ||||
\(214\) | 7.08806e9 | 0.231029 | ||||||||
\(215\) | 6.35705e9 | + | 6.26391e9i | 0.202900 | + | 0.199927i | ||||
\(216\) | −6.75983e9 | −0.211297 | ||||||||
\(217\) | −3.96311e9 | − | 4.96958e9i | −0.121330 | − | 0.152143i | ||||
\(218\) | 1.71578e10 | + | 2.58612e9i | 0.514526 | + | 0.0775523i | ||||
\(219\) | 1.44040e9 | − | 6.31080e9i | 0.0423140 | − | 0.185390i | ||||
\(220\) | 8.07830e9 | + | 5.50769e9i | 0.232497 | + | 0.158514i | ||||
\(221\) | 2.03596e10 | + | 3.52638e10i | 0.574120 | + | 0.994406i | ||||
\(222\) | 1.98964e9 | − | 3.44615e9i | 0.0549775 | − | 0.0952239i | ||||
\(223\) | −2.63030e10 | + | 1.26668e10i | −0.712251 | + | 0.343002i | −0.754676 | − | 0.656098i | \(-0.772206\pi\) |
0.0424250 | + | 0.999100i | \(0.486492\pi\) | |||||||
\(224\) | −2.39366e10 | − | 7.38345e9i | −0.635251 | − | 0.195949i | ||||
\(225\) | 2.52259e9 | + | 3.36617e10i | 0.0656185 | + | 0.875618i | ||||
\(226\) | −2.16008e9 | − | 9.46394e9i | −0.0550785 | − | 0.241315i | ||||
\(227\) | 2.31407e10 | − | 5.89617e10i | 0.578444 | − | 1.47385i | −0.279520 | − | 0.960140i | \(-0.590175\pi\) |
0.857964 | − | 0.513710i | \(-0.171729\pi\) | |||||||
\(228\) | −5.23838e8 | + | 6.99013e9i | −0.0128378 | + | 0.171308i | ||||
\(229\) | −5.84166e9 | + | 8.80488e8i | −0.140371 | + | 0.0211575i | −0.218852 | − | 0.975758i | \(-0.570231\pi\) |
0.0784810 | + | 0.996916i | \(0.474993\pi\) | |||||||
\(230\) | 3.29225e9 | + | 3.05476e9i | 0.0775742 | + | 0.0719783i | ||||
\(231\) | 8.02217e9 | + | 3.86328e9i | 0.185369 | + | 0.0892692i | ||||
\(232\) | 1.42222e10 | − | 9.69651e9i | 0.322307 | − | 0.219745i | ||||
\(233\) | 1.80694e10 | + | 4.60401e10i | 0.401645 | + | 1.02337i | 0.978448 | + | 0.206492i | \(0.0662047\pi\) |
−0.576803 | + | 0.816883i | \(0.695700\pi\) | |||||||
\(234\) | −1.48093e10 | + | 4.56805e9i | −0.322896 | + | 0.0996001i | ||||
\(235\) | −4.91846e9 | + | 4.56366e9i | −0.105202 | + | 0.0976131i | ||||
\(236\) | 2.51693e10 | − | 3.15613e10i | 0.528162 | − | 0.662294i | ||||
\(237\) | −2.90895e9 | + | 3.64771e9i | −0.0598920 | + | 0.0751023i | ||||
\(238\) | −7.64787e9 | + | 7.09619e9i | −0.154506 | + | 0.143360i | ||||
\(239\) | 5.02165e10 | − | 1.54897e10i | 0.995534 | − | 0.307082i | 0.246160 | − | 0.969229i | \(-0.420831\pi\) |
0.749373 | + | 0.662148i | \(0.230355\pi\) | |||||||
\(240\) | −8.93712e8 | − | 2.27714e9i | −0.0173879 | − | 0.0443036i | ||||
\(241\) | −6.40072e10 | + | 4.36394e10i | −1.22223 | + | 0.833301i | −0.990234 | − | 0.139416i | \(-0.955477\pi\) |
−0.231994 | + | 0.972717i | \(0.574525\pi\) | |||||||
\(242\) | −1.65965e9 | − | 7.99244e8i | −0.0311062 | − | 0.0149799i | ||||
\(243\) | 2.37099e10 | + | 2.19996e10i | 0.436217 | + | 0.404750i | ||||
\(244\) | 4.81485e10 | − | 7.25722e9i | 0.869618 | − | 0.131074i | ||||
\(245\) | −1.87278e8 | + | 2.49906e9i | −0.00332078 | + | 0.0443128i | ||||
\(246\) | 1.77012e9 | − | 4.51019e9i | 0.0308173 | − | 0.0785212i | ||||
\(247\) | 1.51929e10 | + | 6.65643e10i | 0.259719 | + | 1.13790i | ||||
\(248\) | −4.83579e8 | − | 6.45291e9i | −0.00811773 | − | 0.108324i | ||||
\(249\) | −2.02477e10 | − | 6.24560e9i | −0.333795 | − | 0.102962i | ||||
\(250\) | 8.08464e9 | − | 3.89336e9i | 0.130897 | − | 0.0630368i | ||||
\(251\) | 2.08208e10 | − | 3.60628e10i | 0.331106 | − | 0.573492i | −0.651623 | − | 0.758543i | \(-0.725912\pi\) |
0.982729 | + | 0.185051i | \(0.0592450\pi\) | |||||||
\(252\) | 2.61158e10 | + | 4.52338e10i | 0.407944 | + | 0.706579i | ||||
\(253\) | 7.99965e10 | + | 5.45407e10i | 1.22752 | + | 0.836909i | ||||
\(254\) | −4.82366e9 | + | 2.11338e10i | −0.0727151 | + | 0.318586i | ||||
\(255\) | −3.45848e9 | − | 5.21282e8i | −0.0512218 | − | 0.00772044i | ||||
\(256\) | 1.56779e10 | + | 1.96594e10i | 0.228143 | + | 0.286083i | ||||
\(257\) | −7.61610e10 | −1.08901 | −0.544507 | − | 0.838756i | \(-0.683283\pi\) | ||||
−0.544507 | + | 0.838756i | \(0.683283\pi\) | |||||||
\(258\) | 1.34407e9 | + | 3.75209e9i | 0.0188858 | + | 0.0527211i | ||||
\(259\) | −1.30627e11 | −1.80379 | ||||||||
\(260\) | −1.61793e10 | − | 2.02882e10i | −0.219573 | − | 0.275336i | ||||
\(261\) | −5.38862e10 | − | 8.12204e9i | −0.718779 | − | 0.108338i | ||||
\(262\) | −7.97826e9 | + | 3.49551e10i | −0.104605 | + | 0.458305i | ||||
\(263\) | −1.76003e10 | − | 1.19997e10i | −0.226840 | − | 0.154657i | 0.444567 | − | 0.895745i | \(-0.353357\pi\) |
−0.671407 | + | 0.741089i | \(0.734310\pi\) | |||||||
\(264\) | 4.53229e9 | + | 7.85015e9i | 0.0574248 | + | 0.0994627i | ||||
\(265\) | −7.23317e9 | + | 1.25282e10i | −0.0900994 | + | 0.156057i | ||||
\(266\) | −1.57611e10 | + | 7.59014e9i | −0.193027 | + | 0.0929571i | ||||
\(267\) | 4.57455e9 | + | 1.41106e9i | 0.0550869 | + | 0.0169920i | ||||
\(268\) | 2.83057e9 | + | 3.77713e10i | 0.0335172 | + | 0.447255i | ||||
\(269\) | −3.29947e10 | − | 1.44559e11i | −0.384201 | − | 1.68329i | −0.684152 | − | 0.729340i | \(-0.739827\pi\) |
0.299951 | − | 0.953955i | \(-0.403030\pi\) | |||||||
\(270\) | 9.95256e8 | − | 2.53587e9i | 0.0113972 | − | 0.0290396i | ||||
\(271\) | 9.86820e8 | − | 1.31682e10i | 0.0111141 | − | 0.148308i | −0.988886 | − | 0.148677i | \(-0.952498\pi\) |
1.00000 | 0.000369191i | \(0.000117517\pi\) | ||||||||
\(272\) | 6.11015e10 | − | 9.20958e9i | 0.676850 | − | 0.102019i | ||||
\(273\) | −1.73234e10 | − | 1.60738e10i | −0.188756 | − | 0.175140i | ||||
\(274\) | 4.71460e9 | + | 2.27043e9i | 0.0505321 | + | 0.0243350i | ||||
\(275\) | 7.65368e10 | − | 5.21819e10i | 0.806999 | − | 0.550203i | ||||
\(276\) | −9.63856e9 | − | 2.45586e10i | −0.0999819 | − | 0.254750i | ||||
\(277\) | 1.33901e11 | − | 4.13030e10i | 1.36655 | − | 0.421524i | 0.477216 | − | 0.878786i | \(-0.341646\pi\) |
0.889332 | + | 0.457262i | \(0.151170\pi\) | |||||||
\(278\) | 3.54952e10 | − | 3.29348e10i | 0.356425 | − | 0.330714i | ||||
\(279\) | −1.27731e10 | + | 1.60169e10i | −0.126205 | + | 0.158256i | ||||
\(280\) | 8.60596e9 | − | 1.07915e10i | 0.0836736 | − | 0.104923i | ||||
\(281\) | −5.64082e10 | + | 5.23392e10i | −0.539714 | + | 0.500782i | −0.902265 | − | 0.431182i | \(-0.858097\pi\) |
0.362550 | + | 0.931964i | \(0.381906\pi\) | |||||||
\(282\) | −2.86325e9 | + | 8.83195e8i | −0.0269611 | + | 0.00831640i | ||||
\(283\) | −4.00270e10 | − | 1.01987e11i | −0.370949 | − | 0.945163i | −0.987467 | − | 0.157823i | \(-0.949553\pi\) |
0.616518 | − | 0.787341i | \(-0.288543\pi\) | |||||||
\(284\) | 1.56915e11 | − | 1.06983e11i | 1.43130 | − | 0.975847i | ||||
\(285\) | −5.28377e9 | − | 2.54453e9i | −0.0474397 | − | 0.0228458i | ||||
\(286\) | 3.11758e10 | + | 2.89269e10i | 0.275531 | + | 0.255655i | ||||
\(287\) | −1.57274e11 | + | 2.37052e10i | −1.36832 | + | 0.206241i | ||||
\(288\) | −6.03328e9 | + | 8.05086e10i | −0.0516758 | + | 0.689566i | ||||
\(289\) | −1.10480e10 | + | 2.81499e10i | −0.0931633 | + | 0.237376i | ||||
\(290\) | 1.54359e9 | + | 6.76291e9i | 0.0128157 | + | 0.0561490i | ||||
\(291\) | −1.03135e9 | − | 1.37625e10i | −0.00843120 | − | 0.112506i | ||||
\(292\) | −9.95724e10 | − | 3.07140e10i | −0.801524 | − | 0.247237i | ||||
\(293\) | −1.20878e10 | + | 5.82120e9i | −0.0958174 | + | 0.0461432i | −0.481179 | − | 0.876623i | \(-0.659791\pi\) |
0.385361 | + | 0.922766i | \(0.374077\pi\) | |||||||
\(294\) | −5.59581e8 | + | 9.69223e8i | −0.00436818 | + | 0.00756590i | ||||
\(295\) | 1.68867e10 | + | 2.92486e10i | 0.129821 | + | 0.224857i | ||||
\(296\) | −1.09876e11 | − | 7.49125e10i | −0.831940 | − | 0.567207i | ||||
\(297\) | 1.30682e10 | − | 5.72554e10i | 0.0974565 | − | 0.426985i | ||||
\(298\) | −4.01954e10 | − | 6.05848e9i | −0.295259 | − | 0.0445031i | ||||
\(299\) | −1.60218e11 | − | 2.00907e11i | −1.15928 | − | 1.45370i | ||||
\(300\) | −2.52414e10 | −0.179915 | ||||||||
\(301\) | 8.46071e10 | − | 9.97954e10i | 0.594097 | − | 0.700747i | ||||
\(302\) | −1.72240e10 | −0.119152 | ||||||||
\(303\) | 2.92861e10 | + | 3.67236e10i | 0.199604 | + | 0.250296i | ||||
\(304\) | 1.02453e11 | + | 1.54422e10i | 0.688005 | + | 0.103700i | ||||
\(305\) | −9.06492e9 | + | 3.97160e10i | −0.0599811 | + | 0.262795i | ||||
\(306\) | 2.77825e10 | + | 1.89418e10i | 0.181145 | + | 0.123502i | ||||
\(307\) | 8.39723e10 | + | 1.45444e11i | 0.539527 | + | 0.934489i | 0.998929 | + | 0.0462603i | \(0.0147304\pi\) |
−0.459402 | + | 0.888228i | \(0.651936\pi\) | |||||||
\(308\) | 7.16664e10 | − | 1.24130e11i | 0.453772 | − | 0.785955i | ||||
\(309\) | 1.71389e10 | − | 8.25366e9i | 0.106947 | − | 0.0515031i | ||||
\(310\) | 2.49193e9 | + | 7.68658e8i | 0.0153253 | + | 0.00472722i | ||||
\(311\) | −9.81232e9 | − | 1.30936e11i | −0.0594771 | − | 0.793667i | −0.944582 | − | 0.328276i | \(-0.893533\pi\) |
0.885105 | − | 0.465392i | \(-0.154086\pi\) | |||||||
\(312\) | −5.35346e9 | − | 2.34550e10i | −0.0319844 | − | 0.140133i | ||||
\(313\) | −3.23185e10 | + | 8.23461e10i | −0.190327 | + | 0.484946i | −0.993903 | − | 0.110256i | \(-0.964833\pi\) |
0.803576 | + | 0.595202i | \(0.202928\pi\) | |||||||
\(314\) | −3.98039e9 | + | 5.31146e10i | −0.0231069 | + | 0.308340i | ||||
\(315\) | −4.32103e10 | + | 6.51290e9i | −0.247280 | + | 0.0372715i | ||||
\(316\) | 5.50561e10 | + | 5.10846e10i | 0.310609 | + | 0.288203i | ||||
\(317\) | −2.10155e11 | − | 1.01205e11i | −1.16889 | − | 0.562907i | −0.254234 | − | 0.967143i | \(-0.581823\pi\) |
−0.914655 | + | 0.404236i | \(0.867538\pi\) | |||||||
\(318\) | −5.33783e9 | + | 3.63927e9i | −0.0292714 | + | 0.0199569i | ||||
\(319\) | 5.46345e10 | + | 1.39206e11i | 0.295399 | + | 0.752664i | ||||
\(320\) | −3.06696e10 | + | 9.46033e9i | −0.163506 | + | 0.0504349i | ||||
\(321\) | 2.55359e10 | − | 2.36938e10i | 0.134239 | − | 0.124555i | ||||
\(322\) | 4.10505e10 | − | 5.14757e10i | 0.212798 | − | 0.266840i | ||||
\(323\) | 9.23622e10 | − | 1.15819e11i | 0.472153 | − | 0.592062i | ||||
\(324\) | 1.17405e11 | − | 1.08936e11i | 0.591881 | − | 0.549185i | ||||
\(325\) | −2.34933e11 | + | 7.24673e10i | −1.16807 | + | 0.360302i | ||||
\(326\) | 2.61696e10 | + | 6.66792e10i | 0.128327 | + | 0.326972i | ||||
\(327\) | 7.04585e10 | − | 4.80378e10i | 0.340776 | − | 0.232337i | ||||
\(328\) | −1.45885e11 | − | 7.02543e10i | −0.695948 | − | 0.335151i | ||||
\(329\) | 7.21041e10 | + | 6.69028e10i | 0.339296 | + | 0.314821i | ||||
\(330\) | −3.61218e9 | + | 5.44449e8i | −0.0167671 | + | 0.00252723i | ||||
\(331\) | 2.10965e10 | − | 2.81513e11i | 0.0966016 | − | 1.28906i | −0.712618 | − | 0.701552i | \(-0.752491\pi\) |
0.809220 | − | 0.587506i | \(-0.199890\pi\) | |||||||
\(332\) | −1.24616e11 | + | 3.17517e11i | −0.562928 | + | 1.43432i | ||||
\(333\) | 9.36839e10 | + | 4.10456e11i | 0.417509 | + | 1.82923i | ||||
\(334\) | 3.17410e8 | + | 4.23554e9i | 0.00139560 | + | 0.0186230i | ||||
\(335\) | −3.02813e10 | − | 9.34055e9i | −0.131363 | − | 0.0405201i | ||||
\(336\) | −3.23102e10 | + | 1.55598e10i | −0.138297 | + | 0.0666004i | ||||
\(337\) | −9.27108e10 | + | 1.60580e11i | −0.391558 | + | 0.678198i | −0.992655 | − | 0.120978i | \(-0.961397\pi\) |
0.601097 | + | 0.799176i | \(0.294730\pi\) | |||||||
\(338\) | −2.45474e10 | − | 4.25174e10i | −0.102301 | − | 0.177191i | ||||
\(339\) | −3.94179e10 | − | 2.68747e10i | −0.162104 | − | 0.110521i | ||||
\(340\) | −1.25285e10 | + | 5.48907e10i | −0.0508443 | + | 0.222763i | ||||
\(341\) | 5.55906e10 | + | 8.37894e9i | 0.222642 | + | 0.0335579i | ||||
\(342\) | 3.51533e10 | + | 4.40808e10i | 0.138947 | + | 0.174234i | ||||
\(343\) | 2.72241e11 | 1.06201 | ||||||||
\(344\) | 1.28398e11 | − | 3.54217e10i | 0.494361 | − | 0.136382i | ||||
\(345\) | 2.20722e10 | 0.0838804 | ||||||||
\(346\) | −2.82213e9 | − | 3.53884e9i | −0.0105861 | − | 0.0132745i | ||||
\(347\) | 1.59545e11 | + | 2.40476e10i | 0.590746 | + | 0.0890407i | 0.437611 | − | 0.899164i | \(-0.355825\pi\) |
0.153136 | + | 0.988205i | \(0.451063\pi\) | |||||||
\(348\) | 9.06750e9 | − | 3.97273e10i | 0.0331422 | − | 0.145205i | ||||
\(349\) | 3.14187e11 | + | 2.14209e11i | 1.13364 | + | 0.772901i | 0.976679 | − | 0.214705i | \(-0.0688789\pi\) |
0.156958 | + | 0.987605i | \(0.449831\pi\) | |||||||
\(350\) | −3.14962e10 | − | 5.45530e10i | −0.112189 | − | 0.194318i | ||||
\(351\) | −7.79345e10 | + | 1.34987e11i | −0.274061 | + | 0.474688i | ||||
\(352\) | 1.99609e11 | − | 9.61268e10i | 0.693009 | − | 0.333736i | ||||
\(353\) | −2.24891e11 | − | 6.93696e10i | −0.770878 | − | 0.237784i | −0.115726 | − | 0.993281i | \(-0.536919\pi\) |
−0.655152 | + | 0.755497i | \(0.727396\pi\) | |||||||
\(354\) | 1.12712e9 | + | 1.50404e10i | 0.00381466 | + | 0.0509031i | ||||
\(355\) | 3.53559e10 | + | 1.54904e11i | 0.118150 | + | 0.517650i | ||||
\(356\) | 2.81544e10 | − | 7.17363e10i | 0.0929013 | − | 0.236709i | ||||
\(357\) | −3.83169e9 | + | 5.11303e10i | −0.0124848 | + | 0.166599i | ||||
\(358\) | −3.52348e10 | + | 5.31080e9i | −0.113370 | + | 0.0170878i | ||||
\(359\) | 6.18900e10 | + | 5.74256e10i | 0.196651 | + | 0.182465i | 0.772352 | − | 0.635195i | \(-0.219080\pi\) |
−0.575701 | + | 0.817660i | \(0.695271\pi\) | |||||||
\(360\) | −4.00811e10 | − | 1.93021e10i | −0.125771 | − | 0.0605679i | ||||
\(361\) | −6.13868e10 | + | 4.18528e10i | −0.190236 | + | 0.129701i | ||||
\(362\) | 2.14424e10 | + | 5.46345e10i | 0.0656275 | + | 0.167216i | ||||
\(363\) | −8.65084e9 | + | 2.66843e9i | −0.0261504 | + | 0.00806633i | ||||
\(364\) | −2.78866e11 | + | 2.58750e11i | −0.832607 | + | 0.772546i | ||||
\(365\) | 5.43547e10 | − | 6.81587e10i | 0.160295 | − | 0.201003i | ||||
\(366\) | −1.13429e10 | + | 1.42235e10i | −0.0330414 | + | 0.0414326i | ||||
\(367\) | 2.01896e11 | − | 1.87332e11i | 0.580940 | − | 0.539033i | −0.334027 | − | 0.942564i | \(-0.608408\pi\) |
0.914966 | + | 0.403530i | \(0.132217\pi\) | |||||||
\(368\) | −3.72629e11 | + | 1.14941e11i | −1.05916 | + | 0.326708i | ||||
\(369\) | 1.87281e11 | + | 4.77183e11i | 0.525865 | + | 1.33988i | ||||
\(370\) | 4.42797e10 | − | 3.01894e10i | 0.122828 | − | 0.0837427i | ||||
\(371\) | 1.91073e11 | + | 9.20159e10i | 0.523621 | + | 0.252162i | ||||
\(372\) | −1.12296e10 | − | 1.04195e10i | −0.0304032 | − | 0.0282100i | ||||
\(373\) | −3.94298e11 | + | 5.94309e10i | −1.05471 | + | 0.158973i | −0.653435 | − | 0.756983i | \(-0.726673\pi\) |
−0.401280 | + | 0.915956i | \(0.631435\pi\) | |||||||
\(374\) | 6.89564e9 | − | 9.20159e10i | 0.0182244 | − | 0.243187i | ||||
\(375\) | 1.61116e10 | − | 4.10516e10i | 0.0420724 | − | 0.107199i | ||||
\(376\) | 2.22824e10 | + | 9.76255e10i | 0.0574932 | + | 0.251894i | ||||
\(377\) | −2.96606e10 | − | 3.95793e11i | −0.0756212 | − | 1.00910i | ||||
\(378\) | −3.81620e10 | − | 1.17714e10i | −0.0961431 | − | 0.0296562i | ||||
\(379\) | −2.46215e11 | + | 1.18571e11i | −0.612970 | + | 0.295191i | −0.714493 | − | 0.699643i | \(-0.753343\pi\) |
0.101523 | + | 0.994833i | \(0.467628\pi\) | |||||||
\(380\) | −4.72027e10 | + | 8.17575e10i | −0.116129 | + | 0.201141i | ||||
\(381\) | 5.32677e10 | + | 9.22624e10i | 0.129510 | + | 0.224317i | ||||
\(382\) | −1.96722e10 | − | 1.34123e10i | −0.0472681 | − | 0.0322269i | ||||
\(383\) | 1.48539e11 | − | 6.50791e11i | 0.352732 | − | 1.54542i | −0.418110 | − | 0.908396i | \(-0.637307\pi\) |
0.770843 | − | 0.637025i | \(-0.219835\pi\) | |||||||
\(384\) | −7.84069e10 | − | 1.18179e10i | −0.184019 | − | 0.0277365i | ||||
\(385\) | 7.47666e10 | + | 9.37543e10i | 0.173434 | + | 0.217479i | ||||
\(386\) | 1.64797e11 | 0.377838 | ||||||||
\(387\) | −3.74255e11 | − | 1.94280e11i | −0.848142 | − | 0.440280i | ||||
\(388\) | −2.22165e11 | −0.497660 | ||||||||
\(389\) | 8.91430e10 | + | 1.11782e11i | 0.197385 | + | 0.247513i | 0.870667 | − | 0.491873i | \(-0.163688\pi\) |
−0.673282 | + | 0.739386i | \(0.735116\pi\) | |||||||
\(390\) | 9.58706e9 | + | 1.44502e9i | 0.0209843 | + | 0.00316288i | ||||
\(391\) | −1.24065e11 | + | 5.43563e11i | −0.268443 | + | 1.17613i | ||||
\(392\) | 3.09025e10 | + | 2.10690e10i | 0.0661008 | + | 0.0450668i | ||||
\(393\) | 8.81041e10 | + | 1.52601e11i | 0.186307 | + | 0.322693i | ||||
\(394\) | 6.22653e10 | − | 1.07847e11i | 0.130171 | − | 0.225462i | ||||
\(395\) | −5.66126e10 | + | 2.72632e10i | −0.117011 | + | 0.0563494i | ||||
\(396\) | −4.41438e11 | − | 1.36166e11i | −0.902072 | − | 0.278252i | ||||
\(397\) | −2.40994e10 | − | 3.21584e11i | −0.0486910 | − | 0.649737i | −0.967148 | − | 0.254215i | \(-0.918183\pi\) |
0.918457 | − | 0.395522i | \(-0.129436\pi\) | |||||||
\(398\) | −1.27906e10 | − | 5.60392e10i | −0.0255515 | − | 0.111949i | ||||
\(399\) | −3.14097e10 | + | 8.00306e10i | −0.0620420 | + | 0.158080i | ||||
\(400\) | −2.78810e10 | + | 3.72046e11i | −0.0544551 | + | 0.726652i | ||||
\(401\) | 2.27112e11 | − | 3.42316e10i | 0.438622 | − | 0.0661116i | 0.0739805 | − | 0.997260i | \(-0.476430\pi\) |
0.364641 | + | 0.931148i | \(0.381192\pi\) | |||||||
\(402\) | −1.03740e10 | − | 9.62567e9i | −0.0198120 | − | 0.0183829i | ||||
\(403\) | −1.34433e11 | − | 6.47394e10i | −0.253882 | − | 0.122263i | ||||
\(404\) | 6.24743e11 | − | 4.25943e11i | 1.16677 | − | 0.795490i | ||||
\(405\) | 4.89534e10 | + | 1.24731e11i | 0.0904139 | + | 0.230371i | ||||
\(406\) | 9.71752e10 | − | 2.99746e10i | 0.177496 | − | 0.0547503i | ||||
\(407\) | 8.46919e11 | − | 7.85826e11i | 1.52991 | − | 1.41955i | ||||
\(408\) | −3.25453e10 | + | 4.08106e10i | −0.0581458 | + | 0.0729125i | ||||
\(409\) | −4.01329e10 | + | 5.03251e10i | −0.0709163 | + | 0.0889262i | −0.816024 | − | 0.578018i | \(-0.803826\pi\) |
0.745108 | + | 0.666944i | \(0.232398\pi\) | |||||||
\(410\) | 4.78338e10 | − | 4.43832e10i | 0.0836002 | − | 0.0775696i | ||||
\(411\) | 2.45747e10 | − | 7.58028e9i | 0.0424814 | − | 0.0131038i | ||||
\(412\) | −1.11875e11 | − | 2.85054e11i | −0.191292 | − | 0.487405i | ||||
\(413\) | 4.09082e11 | − | 2.78908e11i | 0.691888 | − | 0.471721i | ||||
\(414\) | −1.91187e11 | − | 9.20709e10i | −0.319858 | − | 0.154036i | ||||
\(415\) | −2.09191e11 | − | 1.94101e11i | −0.346200 | − | 0.321226i | ||||
\(416\) | −5.81445e11 | + | 8.76388e10i | −0.951895 | + | 0.143475i | ||||
\(417\) | 1.77836e10 | − | 2.37305e11i | 0.0288010 | − | 0.384322i | ||||
\(418\) | 5.65260e10 | − | 1.44026e11i | 0.0905638 | − | 0.230753i | ||||
\(419\) | −7.39704e10 | − | 3.24086e11i | −0.117245 | − | 0.513685i | −0.999110 | − | 0.0421822i | \(-0.986569\pi\) |
0.881865 | − | 0.471502i | \(-0.156288\pi\) | |||||||
\(420\) | −2.44187e9 | − | 3.25844e10i | −0.00382913 | − | 0.0510962i | ||||
\(421\) | 5.66951e11 | + | 1.74881e11i | 0.879582 | + | 0.271315i | 0.701473 | − | 0.712696i | \(-0.252526\pi\) |
0.178109 | + | 0.984011i | \(0.443002\pi\) | |||||||
\(422\) | −2.26175e11 | + | 1.08920e11i | −0.347167 | + | 0.167187i | ||||
\(423\) | 1.58510e11 | − | 2.74547e11i | 0.240727 | − | 0.416951i | ||||
\(424\) | 1.07951e11 | + | 1.86976e11i | 0.162210 | + | 0.280956i | ||||
\(425\) | 4.40740e11 | + | 3.00491e11i | 0.655288 | + | 0.446768i | ||||
\(426\) | −1.57893e10 | + | 6.91775e10i | −0.0232284 | + | 0.101770i | ||||
\(427\) | 5.90536e11 | + | 8.90089e10i | 0.859648 | + | 0.129571i | ||||
\(428\) | −3.49630e11 | − | 4.38422e11i | −0.503630 | − | 0.631532i | ||||
\(429\) | 2.09012e11 | 0.297929 | ||||||||
\(430\) | −5.61609e9 | + | 5.33821e10i | −0.00792184 | + | 0.0752987i | ||||
\(431\) | −6.19420e11 | −0.864645 | −0.432322 | − | 0.901719i | \(-0.642306\pi\) | ||||
−0.432322 | + | 0.901719i | \(0.642306\pi\) | |||||||
\(432\) | 1.47476e11 | + | 1.84929e11i | 0.203725 | + | 0.255463i | ||||
\(433\) | −7.78604e11 | − | 1.17356e11i | −1.06444 | − | 0.160439i | −0.406608 | − | 0.913603i | \(-0.633288\pi\) |
−0.657832 | + | 0.753164i | \(0.728526\pi\) | |||||||
\(434\) | 8.50695e9 | − | 3.72714e10i | 0.0115099 | − | 0.0504280i | ||||
\(435\) | 2.81679e10 | + | 1.92046e10i | 0.0377184 | + | 0.0257160i | ||||
\(436\) | −6.86374e11 | − | 1.18884e12i | −0.909645 | − | 1.57555i | ||||
\(437\) | −4.67432e11 | + | 8.09615e11i | −0.613129 | + | 1.06197i | ||||
\(438\) | 3.50767e10 | − | 1.68920e10i | 0.0455392 | − | 0.0219305i | ||||
\(439\) | −6.01816e11 | − | 1.85636e11i | −0.773345 | − | 0.238545i | −0.117127 | − | 0.993117i | \(-0.537369\pi\) |
−0.656218 | + | 0.754571i | \(0.727845\pi\) | |||||||
\(440\) | 9.12302e9 | + | 1.21738e11i | 0.0116038 | + | 0.154842i | ||||
\(441\) | −2.63484e10 | − | 1.15440e11i | −0.0331727 | − | 0.145339i | ||||
\(442\) | −8.94733e10 | + | 2.27974e11i | −0.111505 | + | 0.284109i | ||||
\(443\) | −3.83013e10 | + | 5.11095e11i | −0.0472494 | + | 0.630500i | 0.922437 | + | 0.386147i | \(0.126194\pi\) |
−0.969687 | + | 0.244352i | \(0.921425\pi\) | |||||||
\(444\) | −3.11299e11 | + | 4.69207e10i | −0.380149 | + | 0.0572983i | ||||
\(445\) | 4.72624e10 | + | 4.38531e10i | 0.0571341 | + | 0.0530127i | ||||
\(446\) | −1.58198e11 | − | 7.61842e10i | −0.189319 | − | 0.0911713i | ||||
\(447\) | −1.65063e11 | + | 1.12538e11i | −0.195553 | + | 0.133326i | ||||
\(448\) | 1.71899e11 | + | 4.37992e11i | 0.201615 | + | 0.513707i | ||||
\(449\) | 4.97320e11 | − | 1.53403e11i | 0.577468 | − | 0.178125i | 0.00775617 | − | 0.999970i | \(-0.497531\pi\) |
0.569712 | + | 0.821845i | \(0.307055\pi\) | |||||||
\(450\) | −1.48828e11 | + | 1.38092e11i | −0.171091 | + | 0.158749i | ||||
\(451\) | 8.77075e11 | − | 1.09982e12i | 0.998257 | − | 1.25177i | ||||
\(452\) | −4.78829e11 | + | 6.00433e11i | −0.539582 | + | 0.676614i | ||||
\(453\) | −6.20521e10 | + | 5.75759e10i | −0.0692332 | + | 0.0642390i | ||||
\(454\) | 3.64032e11 | − | 1.12289e11i | 0.402150 | − | 0.124047i | ||||
\(455\) | −1.16277e11 | − | 2.96268e11i | −0.127187 | − | 0.324066i | ||||
\(456\) | −7.23162e10 | + | 4.93044e10i | −0.0783238 | + | 0.0534003i | ||||
\(457\) | 2.35428e11 | + | 1.13376e11i | 0.252484 | + | 0.121590i | 0.555846 | − | 0.831286i | \(-0.312395\pi\) |
−0.303361 | + | 0.952876i | \(0.598109\pi\) | |||||||
\(458\) | −2.60463e10 | − | 2.41674e10i | −0.0276599 | − | 0.0256646i | ||||
\(459\) | 3.34409e11 | − | 5.04041e10i | 0.351658 | − | 0.0530040i | ||||
\(460\) | 2.65525e10 | − | 3.54318e11i | 0.0276500 | − | 0.368963i | ||||
\(461\) | 1.70929e10 | − | 4.35521e10i | 0.0176263 | − | 0.0449112i | −0.921790 | − | 0.387690i | \(-0.873273\pi\) |
0.939416 | + | 0.342779i | \(0.111368\pi\) | |||||||
\(462\) | 1.19165e10 | + | 5.22097e10i | 0.0121692 | + | 0.0533166i | ||||
\(463\) | −9.96211e10 | − | 1.32935e12i | −0.100748 | − | 1.34439i | −0.786967 | − | 0.616995i | \(-0.788350\pi\) |
0.686219 | − | 0.727395i | \(-0.259269\pi\) | |||||||
\(464\) | −5.75546e11 | − | 1.77532e11i | −0.576433 | − | 0.177806i | ||||
\(465\) | 1.15470e10 | − | 5.56075e9i | 0.0114533 | − | 0.00551563i | ||||
\(466\) | −1.48735e11 | + | 2.57616e11i | −0.146109 | + | 0.253067i | ||||
\(467\) | −4.17311e11 | − | 7.22804e11i | −0.406007 | − | 0.703225i | 0.588431 | − | 0.808548i | \(-0.299746\pi\) |
−0.994438 | + | 0.105322i | \(0.966413\pi\) | |||||||
\(468\) | 1.01304e12 | + | 6.90680e11i | 0.976160 | + | 0.665534i | ||||
\(469\) | −1.03374e11 | + | 4.52913e11i | −0.0986586 | + | 0.432252i | ||||
\(470\) | −3.99037e10 | − | 6.01451e9i | −0.0377201 | − | 0.00568539i | ||||
\(471\) | 1.63210e11 | + | 2.04659e11i | 0.152811 | + | 0.191619i | ||||
\(472\) | 5.04046e11 | 0.467446 | ||||||||
\(473\) | 5.18000e10 | + | 1.15600e12i | 0.0475833 | + | 1.06190i | ||||
\(474\) | −2.80611e10 | −0.0255330 | ||||||||
\(475\) | 5.57670e11 | + | 6.99296e11i | 0.502638 | + | 0.630289i | ||||
\(476\) | 8.16168e11 | + | 1.23018e11i | 0.728699 | + | 0.109834i | ||||
\(477\) | 1.52097e11 | − | 6.66380e11i | 0.134520 | − | 0.589372i | ||||
\(478\) | 2.61147e11 | + | 1.78047e11i | 0.228802 | + | 0.155994i | ||||
\(479\) | 1.70452e11 | + | 2.95232e11i | 0.147943 | + | 0.256244i | 0.930467 | − | 0.366376i | \(-0.119402\pi\) |
−0.782524 | + | 0.622620i | \(0.786068\pi\) | |||||||
\(480\) | 2.52535e10 | − | 4.37404e10i | 0.0217138 | − | 0.0376095i | ||||
\(481\) | −2.76269e12 | + | 1.33044e12i | −2.35331 | + | 1.13330i | ||||
\(482\) | −4.45229e11 | − | 1.37335e11i | −0.375727 | − | 0.115896i | ||||
\(483\) | −2.41809e10 | − | 3.22672e11i | −0.0202167 | − | 0.269773i | ||||
\(484\) | 3.24286e10 | + | 1.42079e11i | 0.0268611 | + | 0.117686i | ||||
\(485\) | 6.79057e10 | − | 1.73021e11i | 0.0557274 | − | 0.141991i | ||||
\(486\) | −1.45374e10 | + | 1.93989e11i | −0.0118202 | + | 0.157730i | ||||
\(487\) | 1.42337e12 | − | 2.14538e11i | 1.14667 | − | 0.172832i | 0.451900 | − | 0.892068i | \(-0.350746\pi\) |
0.694766 | + | 0.719236i | \(0.255508\pi\) | |||||||
\(488\) | 4.45681e11 | + | 4.13531e11i | 0.355742 | + | 0.330080i | ||||
\(489\) | 3.17174e11 | + | 1.52743e11i | 0.250846 | + | 0.120801i | ||||
\(490\) | −1.24536e10 | + | 8.49071e9i | −0.00975915 | + | 0.00665368i | ||||
\(491\) | 2.32522e11 | + | 5.92457e11i | 0.180550 | + | 0.460034i | 0.992283 | − | 0.123995i | \(-0.0395706\pi\) |
−0.811733 | + | 0.584029i | \(0.801475\pi\) | |||||||
\(492\) | −3.66285e11 | + | 1.12984e11i | −0.281823 | + | 0.0869309i | ||||
\(493\) | −6.31270e11 | + | 5.85733e11i | −0.481287 | + | 0.446569i | ||||
\(494\) | −2.56032e11 | + | 3.21054e11i | −0.193430 | + | 0.242553i | ||||
\(495\) | 2.40973e11 | − | 3.02170e11i | 0.180403 | − | 0.226218i | ||||
\(496\) | −1.65982e11 | + | 1.54009e11i | −0.123139 | + | 0.114256i | ||||
\(497\) | 2.22580e12 | − | 6.86569e11i | 1.63637 | − | 0.504754i | ||||
\(498\) | −4.65594e10 | − | 1.18632e11i | −0.0339215 | − | 0.0864307i | ||||
\(499\) | −3.09763e11 | + | 2.11193e11i | −0.223654 | + | 0.152485i | −0.669964 | − | 0.742394i | \(-0.733690\pi\) |
0.446309 | + | 0.894879i | \(0.352738\pi\) | |||||||
\(500\) | −6.39606e11 | − | 3.08018e11i | −0.457665 | − | 0.220400i | ||||
\(501\) | 1.53020e10 | + | 1.41982e10i | 0.0108512 | + | 0.0100685i | ||||
\(502\) | 2.47655e11 | − | 3.73280e10i | 0.174053 | − | 0.0262342i | ||||
\(503\) | −1.37347e11 | + | 1.83277e12i | −0.0956673 | + | 1.27659i | 0.718321 | + | 0.695711i | \(0.244911\pi\) |
−0.813989 | + | 0.580881i | \(0.802708\pi\) | |||||||
\(504\) | −2.38265e11 | + | 6.07089e11i | −0.164484 | + | 0.419097i | ||||
\(505\) | 1.40766e11 | + | 6.16738e11i | 0.0963137 | + | 0.421978i | ||||
\(506\) | 4.35168e10 | + | 5.80692e11i | 0.0295107 | + | 0.393793i | ||||
\(507\) | −2.30562e11 | − | 7.11191e10i | −0.154972 | − | 0.0478025i | ||||
\(508\) | 1.54514e12 | − | 7.44099e11i | 1.02939 | − | 0.495729i | ||||
\(509\) | −7.82857e11 | + | 1.35595e12i | −0.516955 | + | 0.895392i | 0.482851 | + | 0.875702i | \(0.339601\pi\) |
−0.999806 | + | 0.0196898i | \(0.993732\pi\) | |||||||
\(510\) | −1.05179e10 | − | 1.82176e10i | −0.00688437 | − | 0.0119241i | ||||
\(511\) | −1.05595e12 | − | 7.19936e11i | −0.685094 | − | 0.467089i | ||||
\(512\) | −3.39278e11 | + | 1.48647e12i | −0.218193 | + | 0.955965i | ||||
\(513\) | 5.60723e11 | + | 8.45155e10i | 0.357454 | + | 0.0538776i | ||||
\(514\) | −2.85600e11 | − | 3.58131e11i | −0.180478 | − | 0.226312i | ||||
\(515\) | 2.56194e11 | 0.160486 | ||||||||
\(516\) | 1.65782e11 | − | 2.68214e11i | 0.102947 | − | 0.166555i | ||||
\(517\) | −8.69958e11 | −0.535539 | ||||||||
\(518\) | −4.89846e11 | − | 6.14248e11i | −0.298934 | − | 0.374852i | ||||
\(519\) | −2.19967e10 | − | 3.31548e9i | −0.0133078 | − | 0.00200582i | ||||
\(520\) | 7.20991e10 | − | 3.15887e11i | 0.0432429 | − | 0.189460i | ||||
\(521\) | 4.23647e11 | + | 2.88837e11i | 0.251903 | + | 0.171745i | 0.682688 | − | 0.730710i | \(-0.260811\pi\) |
−0.430785 | + | 0.902455i | \(0.641763\pi\) | |||||||
\(522\) | −1.63879e11 | − | 2.83846e11i | −0.0966062 | − | 0.167327i | ||||
\(523\) | −3.37127e11 | + | 5.83920e11i | −0.197031 | + | 0.341268i | −0.947565 | − | 0.319564i | \(-0.896463\pi\) |
0.750533 | + | 0.660833i | \(0.229797\pi\) | |||||||
\(524\) | 2.55564e12 | − | 1.23073e12i | 1.48084 | − | 0.713135i | ||||
\(525\) | −2.95829e11 | − | 9.12511e10i | −0.169951 | − | 0.0524229i | ||||
\(526\) | −9.57429e9 | − | 1.27760e11i | −0.00545344 | − | 0.0727711i | ||||
\(527\) | 7.20381e10 | + | 3.15620e11i | 0.0406832 | + | 0.178245i | ||||
\(528\) | 1.15878e11 | − | 2.95253e11i | 0.0648857 | − | 0.165326i | ||||
\(529\) | 1.28339e11 | − | 1.71257e12i | 0.0712539 | − | 0.950817i | ||||
\(530\) | −8.60354e10 | + | 1.29677e10i | −0.0473626 | + | 0.00713876i | ||||
\(531\) | −1.16977e12 | − | 1.08539e12i | −0.638521 | − | 0.592460i | ||||
\(532\) | 1.24692e12 | + | 6.00484e11i | 0.674894 | + | 0.325012i | ||||
\(533\) | −3.08481e12 | + | 2.10319e12i | −1.65560 | + | 1.12877i | ||||
\(534\) | 1.05191e10 | + | 2.68023e10i | 0.00559815 | + | 0.0142638i | ||||
\(535\) | 4.48307e11 | − | 1.38284e11i | 0.236583 | − | 0.0729762i | ||||
\(536\) | −3.46690e11 | + | 3.21682e11i | −0.181426 | + | 0.168339i | ||||
\(537\) | −1.09186e11 | + | 1.36915e11i | −0.0566610 | + | 0.0710506i | ||||
\(538\) | 5.56031e11 | − | 6.97240e11i | 0.286140 | − | 0.358808i | ||||
\(539\) | −2.38194e11 | + | 2.21012e11i | −0.121558 | + | 0.112789i | ||||
\(540\) | −2.05945e11 | + | 6.35257e10i | −0.104227 | + | 0.0321498i | ||||
\(541\) | 5.03521e11 | + | 1.28295e12i | 0.252714 | + | 0.643905i | 0.999783 | − | 0.0208417i | \(-0.00663461\pi\) |
−0.747069 | + | 0.664747i | \(0.768539\pi\) | |||||||
\(542\) | 6.56213e10 | − | 4.47398e10i | 0.0326624 | − | 0.0222688i | ||||
\(543\) | 2.59881e11 | + | 1.25152e11i | 0.128285 | + | 0.0617787i | ||||
\(544\) | 9.35229e11 | + | 8.67766e11i | 0.457850 | + | 0.424822i | ||||
\(545\) | 1.13565e12 | − | 1.71172e11i | 0.551393 | − | 0.0831091i | ||||
\(546\) | 1.06216e10 | − | 1.41736e11i | 0.00511474 | − | 0.0682514i | ||||
\(547\) | 7.12560e11 | − | 1.81557e12i | 0.340313 | − | 0.867103i | −0.653590 | − | 0.756848i | \(-0.726738\pi\) |
0.993903 | − | 0.110255i | \(-0.0351667\pi\) | |||||||
\(548\) | −9.21208e10 | − | 4.03608e11i | −0.0436360 | − | 0.191182i | ||||
\(549\) | −1.43840e11 | − | 1.91941e12i | −0.0675779 | − | 0.901764i | ||||
\(550\) | 5.32384e11 | + | 1.64219e11i | 0.248081 | + | 0.0765228i | ||||
\(551\) | −1.30095e12 | + | 6.26505e11i | −0.601283 | + | 0.289563i | ||||
\(552\) | 1.64707e11 | − | 2.85281e11i | 0.0755069 | − | 0.130782i | ||||
\(553\) | 4.60579e11 | + | 7.97746e11i | 0.209431 | + | 0.362745i | ||||
\(554\) | 6.96342e11 | + | 4.74758e11i | 0.314071 | + | 0.214130i | ||||
\(555\) | 5.86083e10 | − | 2.56780e11i | 0.0262205 | − | 0.114879i | ||||
\(556\) | −3.78799e12 | − | 5.70948e11i | −1.68102 | − | 0.253373i | ||||
\(557\) | −6.48812e11 | − | 8.13585e11i | −0.285608 | − | 0.358141i | 0.618244 | − | 0.785986i | \(-0.287844\pi\) |
−0.903852 | + | 0.427845i | \(0.859273\pi\) | |||||||
\(558\) | −1.23215e11 | −0.0538033 | ||||||||
\(559\) | 7.72973e11 | − | 2.97234e12i | 0.334820 | − | 1.28750i | ||||
\(560\) | −4.82976e11 | −0.207529 | ||||||||
\(561\) | −2.82746e11 | − | 3.54553e11i | −0.120521 | − | 0.151129i | ||||
\(562\) | −4.57643e11 | − | 6.89785e10i | −0.193514 | − | 0.0291676i | ||||
\(563\) | 3.77534e10 | − | 1.65408e11i | 0.0158368 | − | 0.0693857i | −0.966392 | − | 0.257073i | \(-0.917242\pi\) |
0.982229 | + | 0.187687i | \(0.0600991\pi\) | |||||||
\(564\) | 1.95863e11 | + | 1.33537e11i | 0.0815073 | + | 0.0555707i | ||||
\(565\) | −3.21258e11 | − | 5.56435e11i | −0.132628 | − | 0.229719i | ||||
\(566\) | 3.29474e11 | − | 5.70666e11i | 0.134942 | − | 0.233727i | ||||
\(567\) | 1.76980e12 | − | 8.52293e11i | 0.719120 | − | 0.346310i | ||||
\(568\) | 2.26596e12 | + | 6.98955e11i | 0.913448 | + | 0.281761i | ||||
\(569\) | 1.02146e11 | + | 1.36305e12i | 0.0408524 | + | 0.545138i | 0.979656 | + | 0.200685i | \(0.0643166\pi\) |
−0.938804 | + | 0.344453i | \(0.888064\pi\) | |||||||
\(570\) | −7.84877e9 | − | 3.43877e10i | −0.00311433 | − | 0.0136448i | ||||
\(571\) | 1.16184e12 | − | 2.96031e12i | 0.457386 | − | 1.16540i | −0.497246 | − | 0.867610i | \(-0.665655\pi\) |
0.954631 | − | 0.297790i | \(-0.0962495\pi\) | |||||||
\(572\) | 2.51438e11 | − | 3.35520e12i | 0.0982082 | − | 1.31050i | ||||
\(573\) | −1.15707e11 | + | 1.74400e10i | −0.0448397 | + | 0.00675850i | ||||
\(574\) | −7.01238e11 | − | 6.50654e11i | −0.269626 | − | 0.250177i | ||||
\(575\) | −3.03298e12 | − | 1.46061e12i | −1.15708 | − | 0.557222i | ||||
\(576\) | 1.25297e12 | − | 8.54262e11i | 0.474286 | − | 0.323363i | ||||
\(577\) | −6.54035e11 | − | 1.66645e12i | −0.245646 | − | 0.625896i | 0.753869 | − | 0.657024i | \(-0.228185\pi\) |
−0.999515 | + | 0.0311285i | \(0.990090\pi\) | |||||||
\(578\) | −1.73799e11 | + | 5.36099e10i | −0.0647697 | + | 0.0199788i | ||||
\(579\) | 5.93707e11 | − | 5.50879e11i | 0.219542 | − | 0.203706i | ||||
\(580\) | 3.42170e11 | − | 4.29068e11i | 0.125550 | − | 0.157434i | ||||
\(581\) | −2.60837e12 | + | 3.27079e12i | −0.949678 | + | 1.19086i | ||||
\(582\) | 6.08476e10 | − | 5.64583e10i | 0.0219832 | − | 0.0203974i | ||||
\(583\) | −1.79236e12 | + | 5.52871e11i | −0.642566 | + | 0.198205i | ||||
\(584\) | −4.75338e11 | − | 1.21114e12i | −0.169100 | − | 0.430861i | ||||
\(585\) | −8.47539e11 | + | 5.77842e11i | −0.299198 | + | 0.203990i | ||||
\(586\) | −7.27018e10 | − | 3.50114e10i | −0.0254687 | − | 0.0122651i | ||||
\(587\) | −7.97895e11 | − | 7.40339e11i | −0.277380 | − | 0.257371i | 0.529199 | − | 0.848498i | \(-0.322493\pi\) |
−0.806578 | + | 0.591127i | \(0.798683\pi\) | |||||||
\(588\) | 8.75522e10 | − | 1.31964e10i | 0.0302043 | − | 0.00455257i | ||||
\(589\) | −4.05656e10 | + | 5.41310e11i | −0.0138880 | + | 0.185322i | ||||
\(590\) | −7.42112e10 | + | 1.89087e11i | −0.0252136 | + | 0.0642432i | ||||
\(591\) | −1.36187e11 | − | 5.96674e11i | −0.0459189 | − | 0.201184i | ||||
\(592\) | 3.47737e11 | + | 4.64022e12i | 0.116360 | + | 1.55271i | ||||
\(593\) | −2.79720e11 | − | 8.62821e10i | −0.0928917 | − | 0.0286533i | 0.247961 | − | 0.968770i | \(-0.420240\pi\) |
−0.340853 | + | 0.940117i | \(0.610716\pi\) | |||||||
\(594\) | 3.18237e11 | − | 1.53255e11i | 0.104885 | − | 0.0505097i | ||||
\(595\) | −3.45271e11 | + | 5.98027e11i | −0.112936 | + | 0.195612i | ||||
\(596\) | 1.60796e12 | + | 2.78507e12i | 0.521997 | + | 0.904125i | ||||
\(597\) | −2.33407e11 | − | 1.59134e11i | −0.0752020 | − | 0.0512718i | ||||
\(598\) | 3.43913e11 | − | 1.50678e12i | 0.109975 | − | 0.481831i | ||||
\(599\) | −5.71207e11 | − | 8.60956e10i | −0.181290 | − | 0.0273250i | 0.0577699 | − | 0.998330i | \(-0.481601\pi\) |
−0.239060 | + | 0.971005i | \(0.576839\pi\) | |||||||
\(600\) | −1.96504e11 | − | 2.46408e11i | −0.0619000 | − | 0.0776202i | ||||
\(601\) | −4.67544e12 | −1.46180 | −0.730899 | − | 0.682485i | \(-0.760899\pi\) | ||||
−0.730899 | + | 0.682485i | \(0.760899\pi\) | |||||||
\(602\) | 7.86540e11 | + | 2.36191e10i | 0.244083 | + | 0.00732959i | ||||
\(603\) | 1.49728e12 | 0.461184 | ||||||||
\(604\) | 8.49600e11 | + | 1.06536e12i | 0.259745 | + | 0.325711i | ||||
\(605\) | −1.20563e11 | − | 1.81719e10i | −0.0365858 | − | 0.00551443i | ||||
\(606\) | −6.28637e10 | + | 2.75424e11i | −0.0189353 | + | 0.0829612i | ||||
\(607\) | −2.21734e12 | − | 1.51176e12i | −0.662954 | − | 0.451994i | 0.184522 | − | 0.982828i | \(-0.440926\pi\) |
−0.847476 | + | 0.530834i | \(0.821879\pi\) | |||||||
\(608\) | 1.06961e12 | + | 1.85261e12i | 0.317437 | + | 0.549817i | ||||
\(609\) | 2.49891e11 | − | 4.32824e11i | 0.0736161 | − | 0.127507i | ||||
\(610\) | −2.20749e11 | + | 1.06307e11i | −0.0645528 | + | 0.0310870i | ||||
\(611\) | 2.20637e12 | + | 6.80575e11i | 0.640461 | + | 0.197556i | ||||
\(612\) | −1.98799e11 | − | 2.65278e12i | −0.0572838 | − | 0.764400i | ||||
\(613\) | −2.68843e11 | − | 1.17788e12i | −0.0769000 | − | 0.336921i | 0.921813 | − | 0.387634i | \(-0.126708\pi\) |
−0.998713 | + | 0.0507133i | \(0.983851\pi\) | |||||||
\(614\) | −3.69030e11 | + | 9.40272e11i | −0.104786 | + | 0.266991i | ||||
\(615\) | 2.39654e10 | − | 3.19795e11i | 0.00675532 | − | 0.0901435i | ||||
\(616\) | 1.76969e12 | − | 2.66737e11i | 0.495203 | − | 0.0746398i | ||||
\(617\) | 2.21275e12 | + | 2.05313e12i | 0.614681 | + | 0.570340i | 0.924846 | − | 0.380342i | \(-0.124194\pi\) |
−0.310165 | + | 0.950683i | \(0.600384\pi\) | |||||||
\(618\) | 1.03081e11 | + | 4.96413e10i | 0.0284270 | + | 0.0136897i | ||||
\(619\) | 5.29862e11 | − | 3.61254e11i | 0.145062 | − | 0.0989018i | −0.488614 | − | 0.872500i | \(-0.662497\pi\) |
0.633677 | + | 0.773598i | \(0.281545\pi\) | |||||||
\(620\) | −7.53741e10 | − | 1.92050e11i | −0.0204861 | − | 0.0521978i | ||||
\(621\) | −2.03940e12 | + | 6.29072e11i | −0.550289 | + | 0.169742i | ||||
\(622\) | 5.78905e11 | − | 5.37146e11i | 0.155078 | − | 0.143892i | ||||
\(623\) | 5.89306e11 | − | 7.38967e11i | 0.156727 | − | 0.196530i | ||||
\(624\) | −5.24866e11 | + | 6.58161e11i | −0.138586 | + | 0.173781i | ||||
\(625\) | −2.13409e12 | + | 1.98015e12i | −0.559440 | + | 0.519084i | ||||
\(626\) | −5.08408e11 | + | 1.56823e11i | −0.132321 | + | 0.0408156i | ||||
\(627\) | −2.77803e11 | − | 7.07830e11i | −0.0717848 | − | 0.182905i | ||||
\(628\) | 3.48167e12 | − | 2.37376e12i | 0.893241 | − | 0.609002i | ||||
\(629\) | 5.99417e12 | + | 2.88664e12i | 1.52687 | + | 0.735300i | ||||
\(630\) | −1.92662e11 | − | 1.78764e11i | −0.0487264 | − | 0.0452115i | ||||
\(631\) | 2.92092e12 | − | 4.40259e11i | 0.733480 | − | 0.110554i | 0.228327 | − | 0.973584i | \(-0.426674\pi\) |
0.505153 | + | 0.863030i | \(0.331436\pi\) | |||||||
\(632\) | −7.00801e10 | + | 9.35154e11i | −0.0174730 | + | 0.233161i | ||||
\(633\) | −4.50735e11 | + | 1.14845e12i | −0.111585 | + | 0.284313i | ||||
\(634\) | −3.12175e11 | − | 1.36773e12i | −0.0767354 | − | 0.336200i | ||||
\(635\) | 1.07222e11 | + | 1.43078e12i | 0.0261700 | + | 0.349214i | ||||
\(636\) | 4.88399e11 | + | 1.50651e11i | 0.118364 | + | 0.0365103i | ||||
\(637\) | 7.77002e11 | − | 3.74185e11i | 0.186980 | − | 0.0900447i | ||||
\(638\) | −4.49713e11 | + | 7.78925e11i | −0.107459 | + | 0.186124i | ||||
\(639\) | −3.75364e12 | − | 6.50150e12i | −0.890633 | − | 1.54262i | ||||
\(640\) | −8.82335e11 | − | 6.01566e11i | −0.207885 | − | 0.141734i | ||||
\(641\) | −1.14582e12 | + | 5.02016e12i | −0.268074 | + | 1.17451i | 0.644176 | + | 0.764877i | \(0.277200\pi\) |
−0.912250 | + | 0.409633i | \(0.865657\pi\) | |||||||
\(642\) | 2.07174e11 | + | 3.12264e10i | 0.0481312 | + | 0.00725462i | ||||
\(643\) | 2.59152e12 | + | 3.24966e12i | 0.597867 | + | 0.749702i | 0.985044 | − | 0.172304i | \(-0.0551211\pi\) |
−0.387177 | + | 0.922006i | \(0.626550\pi\) | |||||||
\(644\) | −5.20883e12 | −1.19331 | ||||||||
\(645\) | 1.58212e11 | + | 2.11091e11i | 0.0359931 | + | 0.0480231i | ||||
\(646\) | 8.90967e11 | 0.201287 | ||||||||
\(647\) | 3.25965e11 | + | 4.08747e11i | 0.0731310 | + | 0.0917034i | 0.817051 | − | 0.576565i | \(-0.195607\pi\) |
−0.743920 | + | 0.668268i | \(0.767036\pi\) | |||||||
\(648\) | 1.97744e12 | + | 2.98051e11i | 0.440570 | + | 0.0664053i | ||||
\(649\) | −9.74427e11 | + | 4.26924e12i | −0.215600 | + | 0.944604i | ||||
\(650\) | −1.22175e12 | − | 8.32976e11i | −0.268456 | − | 0.183030i | ||||
\(651\) | −9.39423e10 | − | 1.62713e11i | −0.0204997 | − | 0.0355065i | ||||
\(652\) | 2.83349e12 | − | 4.90774e12i | 0.614055 | − | 1.06357i | ||||
\(653\) | 5.26955e12 | − | 2.53768e12i | 1.13413 | − | 0.546170i | 0.229903 | − | 0.973214i | \(-0.426159\pi\) |
0.904231 | + | 0.427043i | \(0.140445\pi\) | |||||||
\(654\) | 4.90104e11 | + | 1.51177e11i | 0.104758 | + | 0.0323136i | ||||
\(655\) | 1.77344e11 | + | 2.36650e12i | 0.0376471 | + | 0.502366i | ||||
\(656\) | 1.26074e12 | + | 5.52367e12i | 0.265802 | + | 1.16456i | ||||
\(657\) | −1.50487e12 | + | 3.83433e12i | −0.315104 | + | 0.802871i | ||||
\(658\) | −4.42097e10 | + | 5.89937e11i | −0.00919393 | + | 0.122684i | ||||
\(659\) | −2.79516e12 | + | 4.21302e11i | −0.577327 | + | 0.0870181i | −0.431214 | − | 0.902250i | \(-0.641915\pi\) |
−0.146113 | + | 0.989268i | \(0.546676\pi\) | |||||||
\(660\) | 2.11853e11 | + | 1.96571e11i | 0.0434597 | + | 0.0403247i | ||||
\(661\) | 8.38142e12 | + | 4.03628e12i | 1.70770 | + | 0.822384i | 0.992327 | + | 0.123639i | \(0.0394566\pi\) |
0.715371 | + | 0.698745i | \(0.246258\pi\) | |||||||
\(662\) | 1.40287e12 | − | 9.56459e11i | 0.283894 | − | 0.193555i | ||||
\(663\) | 4.39726e11 | + | 1.12040e12i | 0.0883834 | + | 0.225197i | ||||
\(664\) | −4.06976e12 | + | 1.25535e12i | −0.812479 | + | 0.250617i | ||||
\(665\) | −8.48781e11 | + | 7.87553e11i | −0.168305 | + | 0.156165i | ||||
\(666\) | −1.57877e12 | + | 1.97972e12i | −0.310947 | + | 0.389915i | ||||
\(667\) | 3.38839e12 | − | 4.24890e12i | 0.662867 | − | 0.831209i | ||||
\(668\) | 2.46327e11 | − | 2.28558e11i | 0.0478649 | − | 0.0444122i | ||||
\(669\) | −8.24601e11 | + | 2.54356e11i | −0.159157 | + | 0.0490935i | ||||
\(670\) | −6.96315e10 | − | 1.77418e11i | −0.0133496 | − | 0.0340143i | ||||
\(671\) | −4.36418e12 | + | 2.97545e12i | −0.831097 | + | 0.566632i | ||||
\(672\) | −6.67103e11 | − | 3.21260e11i | −0.126192 | − | 0.0607708i | ||||
\(673\) | −6.01485e12 | − | 5.58096e12i | −1.13020 | − | 1.04868i | −0.998351 | − | 0.0574064i | \(-0.981717\pi\) |
−0.131853 | − | 0.991269i | \(-0.542093\pi\) | |||||||
\(674\) | −1.10276e12 | + | 1.66214e11i | −0.205830 | + | 0.0310239i | ||||
\(675\) | −1.52593e11 | + | 2.03621e12i | −0.0282922 | + | 0.377533i | ||||
\(676\) | −1.41901e12 | + | 3.61559e12i | −0.261352 | + | 0.665915i | ||||
\(677\) | 1.77485e12 | + | 7.77611e12i | 0.324722 | + | 1.42270i | 0.829043 | + | 0.559185i | \(0.188886\pi\) |
−0.504321 | + | 0.863516i | \(0.668257\pi\) | |||||||
\(678\) | −2.14427e10 | − | 2.86133e11i | −0.00389714 | − | 0.0520038i | ||||
\(679\) | −2.60377e12 | − | 8.03157e11i | −0.470098 | − | 0.145006i | ||||
\(680\) | −6.33381e11 | + | 3.05020e11i | −0.113599 | + | 0.0547065i | ||||
\(681\) | 9.36125e11 | − | 1.62142e12i | 0.166791 | − | 0.288890i | ||||
\(682\) | 1.69062e11 | + | 2.92824e11i | 0.0299238 | + | 0.0518295i | ||||
\(683\) | −2.35182e12 | − | 1.60344e12i | −0.413533 | − | 0.281942i | 0.338629 | − | 0.940920i | \(-0.390037\pi\) |
−0.752162 | + | 0.658978i | \(0.770989\pi\) | |||||||
\(684\) | 9.92566e11 | − | 4.34872e12i | 0.173383 | − | 0.759641i | ||||
\(685\) | 3.42485e11 | + | 5.16213e10i | 0.0594338 | + | 0.00895821i | ||||
\(686\) | 1.02089e12 | + | 1.28015e12i | 0.176003 | + | 0.220701i | ||||
\(687\) | −1.74622e11 | −0.0299085 | ||||||||
\(688\) | −3.77022e12 | − | 2.73980e12i | −0.641533 | − | 0.466199i | ||||
\(689\) | 4.97827e12 | 0.841573 | ||||||||
\(690\) | 8.27698e10 | + | 1.03790e11i | 0.0139012 | + | 0.0174315i | ||||
\(691\) | −1.01897e13 | − | 1.53585e12i | −1.70025 | − | 0.256271i | −0.773998 | − | 0.633188i | \(-0.781746\pi\) |
−0.926247 | + | 0.376917i | \(0.876984\pi\) | |||||||
\(692\) | −7.96839e10 | + | 3.49118e11i | −0.0132097 | + | 0.0578755i | ||||
\(693\) | −4.68139e12 | − | 3.19172e12i | −0.771037 | − | 0.525684i | ||||
\(694\) | 4.85208e11 | + | 8.40406e11i | 0.0793982 | + | 0.137522i | ||||
\(695\) | 1.60247e12 | − | 2.77556e12i | 0.260530 | − | 0.451251i | ||||
\(696\) | 4.58411e11 | − | 2.20759e11i | 0.0740481 | − | 0.0356597i | ||||
\(697\) | 7.74076e12 | + | 2.38771e12i | 1.24233 | + | 0.383207i | ||||
\(698\) | 1.70913e11 | + | 2.28067e12i | 0.0272537 | + | 0.363675i | ||||
\(699\) | 3.25313e11 | + | 1.42529e12i | 0.0515412 | + | 0.225817i | ||||
\(700\) | −1.82070e12 | + | 4.63907e12i | −0.286614 | + | 0.730280i | ||||
\(701\) | 3.83280e11 | − | 5.11452e12i | 0.0599495 | − | 0.799970i | −0.883495 | − | 0.468440i | \(-0.844816\pi\) |
0.943445 | − | 0.331530i | \(-0.107565\pi\) | |||||||
\(702\) | −9.26997e11 | + | 1.39722e11i | −0.144066 | + | 0.0217145i | ||||
\(703\) | 8.17757e12 | + | 7.58768e12i | 1.26277 | + | 1.17168i | ||||
\(704\) | −3.74937e12 | − | 1.80560e12i | −0.575283 | − | 0.277042i | ||||
\(705\) | −1.63865e11 | + | 1.11721e11i | −0.0249824 | + | 0.0170327i | ||||
\(706\) | −5.17134e11 | − | 1.31764e12i | −0.0783397 | − | 0.199606i | ||||
\(707\) | 8.86183e12 | − | 2.73351e12i | 1.33394 | − | 0.411466i | ||||
\(708\) | 8.74705e11 | − | 8.11607e11i | 0.130831 | − | 0.121394i | ||||
\(709\) | −1.62014e12 | + | 2.03159e12i | −0.240794 | + | 0.301946i | −0.887513 | − | 0.460782i | \(-0.847569\pi\) |
0.646720 | + | 0.762728i | \(0.276140\pi\) | |||||||
\(710\) | −5.95823e11 | + | 7.47139e11i | −0.0879943 | + | 0.110341i | ||||
\(711\) | 2.17635e12 | − | 2.01936e12i | 0.319386 | − | 0.296347i | ||||
\(712\) | 9.19477e11 | − | 2.83621e11i | 0.134085 | − | 0.0413598i | ||||
\(713\) | −7.46402e11 | − | 1.90180e12i | −0.108161 | − | 0.275589i | ||||
\(714\) | −2.54798e11 | + | 1.73719e11i | −0.0366906 | + | 0.0250152i | ||||
\(715\) | 2.53616e12 | + | 1.22135e12i | 0.362911 | + | 0.174769i | ||||
\(716\) | 2.06651e12 | + | 1.91744e12i | 0.293852 | + | 0.272655i | ||||
\(717\) | 1.53600e12 | − | 2.31514e11i | 0.217047 | − | 0.0327146i | ||||
\(718\) | −3.79471e10 | + | 5.06368e11i | −0.00532866 | + | 0.0711060i | ||||
\(719\) | 4.42097e12 | − | 1.12644e13i | 0.616932 | − | 1.57192i | −0.190327 | − | 0.981721i | \(-0.560955\pi\) |
0.807259 | − | 0.590197i | \(-0.200950\pi\) | |||||||
\(720\) | 3.46383e11 | + | 1.51760e12i | 0.0480353 | + | 0.210457i | ||||
\(721\) | −2.80670e11 | − | 3.74528e12i | −0.0386800 | − | 0.516149i | ||||
\(722\) | −4.27002e11 | − | 1.31713e11i | −0.0584807 | − | 0.0180389i | ||||
\(723\) | −2.06309e12 | + | 9.93532e11i | −0.280799 | + | 0.135226i | ||||
\(724\) | 2.32165e12 | − | 4.02122e12i | 0.314032 | − | 0.543920i | ||||
\(725\) | −2.59976e12 | − | 4.50291e12i | −0.349472 | − | 0.605303i | ||||
\(726\) | −4.49880e10 | − | 3.06723e10i | −0.00601010 | − | 0.00409762i | ||||
\(727\) | 1.49097e12 | − | 6.53237e12i | 0.197954 | − | 0.867294i | −0.774198 | − | 0.632943i | \(-0.781847\pi\) |
0.972152 | − | 0.234350i | \(-0.0752963\pi\) | |||||||
\(728\) | −4.69691e12 | − | 7.07945e11i | −0.619756 | − | 0.0934132i | ||||
\(729\) | −3.53462e12 | − | 4.43227e12i | −0.463520 | − | 0.581236i | ||||
\(730\) | 5.24330e11 | 0.0683363 | ||||||||
\(731\) | −6.08772e12 | + | 2.70970e12i | −0.788545 | + | 0.350988i | ||||
\(732\) | 1.43928e12 | 0.185287 | ||||||||
\(733\) | −3.81631e12 | − | 4.78550e12i | −0.488288 | − | 0.612294i | 0.475255 | − | 0.879848i | \(-0.342356\pi\) |
−0.963543 | + | 0.267555i | \(0.913784\pi\) | |||||||
\(734\) | 1.63799e12 | + | 2.46888e11i | 0.208295 | + | 0.0313955i | ||||
\(735\) | −1.64835e10 | + | 7.22188e10i | −0.00208332 | + | 0.00912761i | ||||
\(736\) | −6.65230e12 | − | 4.53546e12i | −0.835644 | − | 0.569733i | ||||
\(737\) | −2.05440e12 | − | 3.55833e12i | −0.256496 | − | 0.444265i | ||||
\(738\) | −1.54156e12 | + | 2.67007e12i | −0.191297 | + | 0.331336i | ||||
\(739\) | 2.20556e11 | − | 1.06214e11i | 0.0272031 | − | 0.0131003i | −0.420233 | − | 0.907416i | \(-0.638052\pi\) |
0.447436 | + | 0.894316i | \(0.352337\pi\) | |||||||
\(740\) | −4.05149e12 | − | 1.24972e12i | −0.496675 | − | 0.153204i | ||||
\(741\) | 1.50817e11 | + | 2.01251e12i | 0.0183767 | + | 0.245220i | ||||
\(742\) | 2.83829e11 | + | 1.24354e12i | 0.0343747 | + | 0.150606i | ||||
\(743\) | 7.39438e11 | − | 1.88406e12i | 0.0890128 | − | 0.226801i | −0.879434 | − | 0.476020i | \(-0.842079\pi\) |
0.968447 | + | 0.249220i | \(0.0801741\pi\) | |||||||
\(744\) | 1.42939e10 | − | 1.90739e11i | 0.00171031 | − | 0.0228225i | ||||
\(745\) | −2.66048e12 | + | 4.01003e11i | −0.316415 | + | 0.0476919i | ||||
\(746\) | −1.75806e12 | − | 1.63124e12i | −0.207830 | − | 0.192839i | ||||
\(747\) | 1.21481e13 | + | 5.85023e12i | 1.42747 | + | 0.687433i | ||||
\(748\) | −6.03165e12 | + | 4.11231e12i | −0.704497 | + | 0.480318i | ||||
\(749\) | −2.51270e12 | − | 6.40227e12i | −0.291725 | − | 0.743303i | ||||
\(750\) | 2.53454e11 | − | 7.81803e10i | 0.0292499 | − | 0.00902240i | ||||
\(751\) | −5.56948e12 | + | 5.16772e12i | −0.638903 | + | 0.592815i | −0.931642 | − | 0.363377i | \(-0.881624\pi\) |
0.292739 | + | 0.956192i | \(0.405433\pi\) | |||||||
\(752\) | 2.18462e12 | − | 2.73943e12i | 0.249112 | − | 0.312377i | ||||
\(753\) | 7.67437e11 | − | 9.62336e11i | 0.0869892 | − | 0.109081i | ||||
\(754\) | 1.74991e12 | − | 1.62368e12i | 0.197172 | − | 0.182949i | ||||
\(755\) | −1.08938e12 | + | 3.36031e11i | −0.122017 | + | 0.0376372i | ||||
\(756\) | 1.15430e12 | + | 2.94110e12i | 0.128520 | + | 0.327463i | ||||
\(757\) | 8.25360e12 | − | 5.62721e12i | 0.913508 | − | 0.622819i | −0.0126645 | − | 0.999920i | \(-0.504031\pi\) |
0.926172 | + | 0.377101i | \(0.123079\pi\) | |||||||
\(758\) | −1.48085e12 | − | 7.13141e11i | −0.162930 | − | 0.0784629i | ||||
\(759\) | 2.09790e12 | + | 1.94657e12i | 0.229455 | + | 0.212903i | ||||
\(760\) | −1.16560e12 | + | 1.75685e11i | −0.126732 | + | 0.0191018i | ||||
\(761\) | −1.08160e12 | + | 1.44329e13i | −0.116906 | + | 1.56000i | 0.562850 | + | 0.826559i | \(0.309705\pi\) |
−0.679756 | + | 0.733439i | \(0.737914\pi\) | |||||||
\(762\) | −2.34093e11 | + | 5.96460e11i | −0.0251531 | + | 0.0640891i | ||||
\(763\) | −3.74650e12 | − | 1.64145e13i | −0.400189 | − | 1.75334i | ||||
\(764\) | 1.40765e11 | + | 1.87838e12i | 0.0149477 | + | 0.199464i | ||||
\(765\) | 2.12674e12 | + | 6.56012e11i | 0.224511 | + | 0.0692525i | ||||
\(766\) | 3.61722e12 | − | 1.74196e12i | 0.379617 | − | 0.182814i | ||||
\(767\) | 5.81118e12 | − | 1.00653e13i | 0.606297 | − | 1.05014i | ||||
\(768\) | 3.71632e11 | + | 6.43686e11i | 0.0385467 | + | 0.0667649i | ||||
\(769\) | 6.64331e12 | + | 4.52933e12i | 0.685040 | + | 0.467052i | 0.855155 | − | 0.518372i | \(-0.173462\pi\) |
−0.170116 | + | 0.985424i | \(0.554414\pi\) | |||||||
\(770\) | −1.60489e11 | + | 7.03149e11i | −0.0164527 | + | 0.0720840i | ||||
\(771\) | −2.22607e12 | − | 3.35527e11i | −0.226879 | − | 0.0341966i | ||||
\(772\) | −8.12887e12 | − | 1.01933e13i | −0.823668 | − | 1.03285i | ||||
\(773\) | 1.35353e13 | 1.36351 | 0.681757 | − | 0.731579i | \(-0.261216\pi\) | ||||
0.681757 | + | 0.731579i | \(0.261216\pi\) | |||||||
\(774\) | −4.89879e11 | − | 2.48840e12i | −0.0490630 | − | 0.249222i | ||||
\(775\) | −1.95467e12 | −0.194633 | ||||||||
\(776\) | −1.72955e12 | − | 2.16879e12i | −0.171220 | − | 0.214704i | ||||
\(777\) | −3.81804e12 | − | 5.75478e11i | −0.375791 | − | 0.0566414i | ||||
\(778\) | −1.91349e11 | + | 8.38353e11i | −0.0187248 | + | 0.0820387i | ||||
\(779\) | 1.12227e13 | + | 7.65148e12i | 1.09189 | + | 0.744435i | ||||
\(780\) | −3.83518e11 | − | 6.64272e11i | −0.0370988 | − | 0.0642570i | ||||
\(781\) | −1.03007e13 | + | 1.78413e13i | −0.990686 | + | 1.71592i | ||||
\(782\) | −3.02123e12 | + | 1.45495e12i | −0.288904 | + | 0.139129i | ||||
\(783\) | −3.14997e12 | − | 9.71636e11i | −0.299487 | − | 0.0923795i | ||||
\(784\) | −9.78003e10 | − | 1.30505e12i | −0.00924523 | − | 0.123369i | ||||
\(785\) | 7.84486e11 | + | 3.43706e12i | 0.0737346 | + | 0.323053i | ||||
\(786\) | −3.87187e11 | + | 9.86537e11i | −0.0361843 | + | 0.0921960i | ||||
\(787\) | −2.59723e11 | + | 3.46576e12i | −0.0241337 | + | 0.322042i | 0.972051 | + | 0.234770i | \(0.0754338\pi\) |
−0.996185 | + | 0.0872716i | \(0.972185\pi\) | |||||||
\(788\) | −9.74203e12 | + | 1.46838e12i | −0.900081 | + | 0.135665i | ||||
\(789\) | −4.61566e11 | − | 4.28271e11i | −0.0424021 | − | 0.0393434i | ||||
\(790\) | −3.40494e11 | − | 1.63973e11i | −0.0311019 | − | 0.0149779i | ||||
\(791\) | −7.78252e12 | + | 5.30603e12i | −0.706848 | + | 0.481921i | ||||
\(792\) | −2.10733e12 | − | 5.36940e12i | −0.190314 | − | 0.484911i | ||||
\(793\) | 1.33961e13 | − | 4.13214e12i | 1.20295 | − | 0.371061i | ||||
\(794\) | 1.42181e12 | − | 1.31925e12i | 0.126955 | − | 0.117797i | ||||
\(795\) | −2.66608e11 | + | 3.34316e11i | −0.0236712 | + | 0.0296828i | ||||
\(796\) | −2.83531e12 | + | 3.55537e12i | −0.250318 | + | 0.313889i | ||||
\(797\) | −3.60325e12 | + | 3.34333e12i | −0.316324 | + | 0.293506i | −0.822315 | − | 0.569033i | \(-0.807318\pi\) |
0.505990 | + | 0.862539i | \(0.331127\pi\) | |||||||
\(798\) | −4.94112e11 | + | 1.52413e11i | −0.0431333 | + | 0.0133049i | ||||
\(799\) | −1.83024e12 | − | 4.66339e12i | −0.158872 | − | 0.404800i | ||||
\(800\) | −6.36460e12 | + | 4.33931e12i | −0.549372 | + | 0.374555i | ||||
\(801\) | −2.74462e12 | − | 1.32174e12i | −0.235578 | − | 0.113449i | ||||
\(802\) | 1.01263e12 | + | 9.39580e11i | 0.0864300 | + | 0.0801953i | ||||
\(803\) | 1.11772e13 | − | 1.68470e12i | 0.948668 | − | 0.142989i | ||||
\(804\) | −8.36679e10 | + | 1.11647e12i | −0.00706166 | + | 0.0942313i | ||||
\(805\) | 1.59210e12 | − | 4.05662e12i | 0.133626 | − | 0.340473i | ||||
\(806\) | −1.99693e11 | − | 8.74912e11i | −0.0166669 | − | 0.0730225i | ||||
\(807\) | −3.27532e11 | − | 4.37061e12i | −0.0271846 | − | 0.362753i | ||||
\(808\) | 9.02170e12 | + | 2.78283e12i | 0.744624 | + | 0.229686i | ||||
\(809\) | 8.42336e12 | − | 4.05648e12i | 0.691380 | − | 0.332951i | −0.0549855 | − | 0.998487i | \(-0.517511\pi\) |
0.746366 | + | 0.665536i | \(0.231797\pi\) | |||||||
\(810\) | −4.02950e11 | + | 6.97930e11i | −0.0328903 | + | 0.0569678i | ||||
\(811\) | −1.10288e12 | − | 1.91024e12i | −0.0895229 | − | 0.155058i | 0.817787 | − | 0.575521i | \(-0.195201\pi\) |
−0.907310 | + | 0.420463i | \(0.861868\pi\) | |||||||
\(812\) | −6.64736e12 | − | 4.53209e12i | −0.536596 | − | 0.365845i | ||||
\(813\) | 8.68557e10 | − | 3.80540e11i | 0.00697254 | − | 0.0305487i | ||||
\(814\) | 6.87109e12 | + | 1.03565e12i | 0.548549 | + | 0.0826805i | ||||
\(815\) | 2.95606e12 | + | 3.70678e12i | 0.234695 | + | 0.294298i | ||||
\(816\) | 1.82648e12 | 0.144215 | ||||||||
\(817\) | −1.10934e13 | + | 1.33290e12i | −0.871092 | + | 0.104664i | ||||
\(818\) | −3.87140e11 | −0.0302328 | ||||||||
\(819\) | 9.37594e12 | + | 1.17571e13i | 0.728177 | + | 0.913105i | ||||
\(820\) | −5.10474e12 | − | 7.69416e11i | −0.394286 | − | 0.0594291i | ||||
\(821\) | 2.28853e12 | − | 1.00267e13i | 0.175797 | − | 0.770218i | −0.807744 | − | 0.589534i | \(-0.799312\pi\) |
0.983541 | − | 0.180684i | \(-0.0578313\pi\) | |||||||
\(822\) | 1.27799e11 | + | 8.71315e10i | 0.00976343 | + | 0.00665660i | ||||
\(823\) | 4.40577e12 | + | 7.63102e12i | 0.334752 | + | 0.579807i | 0.983437 | − | 0.181250i | \(-0.0580142\pi\) |
−0.648685 | + | 0.761057i | \(0.724681\pi\) | |||||||
\(824\) | 1.91177e12 | − | 3.31128e12i | 0.144465 | − | 0.250221i | ||||
\(825\) | 2.46695e12 | − | 1.18802e12i | 0.185403 | − | 0.0892854i | ||||
\(826\) | 2.84555e12 | + | 8.77735e11i | 0.212694 | + | 0.0656074i | ||||
\(827\) | 4.69008e11 | + | 6.25848e12i | 0.0348663 | + | 0.465258i | 0.987123 | + | 0.159961i | \(0.0511368\pi\) |
−0.952257 | + | 0.305297i | \(0.901244\pi\) | |||||||
\(828\) | 3.73570e12 | + | 1.63672e13i | 0.276207 | + | 1.21014i | ||||
\(829\) | −3.06863e12 | + | 7.81875e12i | −0.225657 | + | 0.574966i | −0.998198 | − | 0.0599991i | \(-0.980890\pi\) |
0.772541 | + | 0.634965i | \(0.218985\pi\) | |||||||
\(830\) | 1.28263e11 | − | 1.71155e12i | 0.00938100 | − | 0.125181i | ||||
\(831\) | 4.09569e12 | − | 6.17326e11i | 0.297936 | − | 0.0449066i | ||||
\(832\) | 8.09654e12 | + | 7.51249e12i | 0.585794 | + | 0.543537i | ||||
\(833\) | −1.68585e12 | − | 8.11862e11i | −0.121315 | − | 0.0584224i | ||||
\(834\) | 1.18257e12 | − | 8.06261e11i | 0.0846406 | − | 0.0577070i | ||||
\(835\) | 1.02709e11 | + | 2.61698e11i | 0.00731170 | + | 0.0186299i | ||||
\(836\) | −1.16968e13 | + | 3.60797e12i | −0.828203 | + | 0.255467i | ||||
\(837\) | −9.08422e11 | + | 8.42893e11i | −0.0639769 | + | 0.0593619i | ||||
\(838\) | 1.24656e12 | − | 1.56314e12i | 0.0873203 | − | 0.109496i | ||||
\(839\) | −7.74194e12 | + | 9.70809e12i | −0.539413 | + | 0.676402i | −0.974604 | − | 0.223936i | \(-0.928109\pi\) |
0.435191 | + | 0.900338i | \(0.356681\pi\) | |||||||
\(840\) | 2.99082e11 | − | 2.77507e11i | 0.0207268 | − | 0.0192317i | ||||
\(841\) | −5.84160e12 | + | 1.80190e12i | −0.402671 | + | 0.124207i | ||||
\(842\) | 1.30370e12 | + | 3.32177e12i | 0.0893867 | + | 0.227753i | ||||
\(843\) | −1.87931e12 | + | 1.28129e12i | −0.128166 | + | 0.0873824i | ||||
\(844\) | 1.78935e13 | + | 8.61707e12i | 1.21382 | + | 0.584546i | ||||
\(845\) | −2.38207e12 | − | 2.21024e12i | −0.160731 | − | 0.149137i | ||||
\(846\) | 1.88540e12 | − | 2.84179e11i | 0.126543 | − | 0.0190733i | ||||
\(847\) | −1.33572e11 | + | 1.78240e12i | −0.00891747 | + | 0.118995i | ||||
\(848\) | 2.76000e12 | − | 7.03236e12i | 0.183285 | − | 0.467003i | ||||
\(849\) | −7.20628e11 | − | 3.15728e12i | −0.0476021 | − | 0.208559i | ||||
\(850\) | 2.39756e11 | + | 3.19932e12i | 0.0157537 | + | 0.210219i | ||||
\(851\) | −4.01204e13 | − | 1.23755e13i | −2.62230 | − | 0.808873i | ||||
\(852\) | 5.05771e12 | − | 2.43566e12i | 0.328833 | − | 0.158358i | ||||
\(853\) | −1.08245e13 | + | 1.87486e13i | −0.700064 | + | 1.21255i | 0.268379 | + | 0.963313i | \(0.413512\pi\) |
−0.968443 | + | 0.249233i | \(0.919821\pi\) | |||||||
\(854\) | 1.79594e12 | + | 3.11065e12i | 0.115539 | + | 0.200120i | ||||
\(855\) | 3.08338e12 | + | 2.10221e12i | 0.197324 | + | 0.134533i | ||||
\(856\) | 1.55804e12 | − | 6.82623e12i | 0.0991853 | − | 0.434559i | ||||
\(857\) | 1.80691e12 | + | 2.72348e11i | 0.114425 | + | 0.0172468i | 0.206005 | − | 0.978551i | \(-0.433954\pi\) |
−0.0915799 | + | 0.995798i | \(0.529192\pi\) | |||||||
\(858\) | 7.83786e11 | + | 9.82836e11i | 0.0493747 | + | 0.0619139i | ||||
\(859\) | 1.60194e13 | 1.00387 | 0.501935 | − | 0.864906i | \(-0.332622\pi\) | ||||
0.501935 | + | 0.864906i | \(0.332622\pi\) | |||||||
\(860\) | 3.57890e12 | − | 2.28578e12i | 0.223103 | − | 0.142492i | ||||
\(861\) | −4.70132e12 | −0.291545 | ||||||||
\(862\) | −2.32280e12 | − | 2.91270e12i | −0.143294 | − | 0.179685i | ||||
\(863\) | 1.41867e13 | + | 2.13830e12i | 0.870630 | + | 0.131226i | 0.569138 | − | 0.822242i | \(-0.307277\pi\) |
0.301492 | + | 0.953469i | \(0.402515\pi\) | |||||||
\(864\) | −1.08672e12 | + | 4.76121e12i | −0.0663443 | + | 0.290674i | ||||
\(865\) | −2.47536e11 | − | 1.68767e11i | −0.0150337 | − | 0.0102498i | ||||
\(866\) | −2.36789e12 | − | 4.10130e12i | −0.143064 | − | 0.247794i | ||||
\(867\) | −4.46932e11 | + | 7.74110e11i | −0.0268631 | + | 0.0465282i | ||||
\(868\) | −2.72499e12 | + | 1.31228e12i | −0.162939 | + | 0.0784674i | ||||
\(869\) | −7.78522e12 | − | 2.40142e12i | −0.463108 | − | 0.142850i | ||||
\(870\) | 1.53229e10 | + | 2.04470e11i | 0.000906786 | + | 0.0121002i | ||||
\(871\) | 2.42662e12 | + | 1.06317e13i | 0.142863 | + | 0.625924i | ||||
\(872\) | 6.26208e12 | − | 1.59555e13i | 0.366770 | − | 0.934515i | ||||
\(873\) | −6.56288e11 | + | 8.75756e12i | −0.0382411 | + | 0.510292i | ||||
\(874\) | −5.55990e12 | + | 8.38019e11i | −0.322304 | + | 0.0485795i | ||||
\(875\) | −6.38265e12 | − | 5.92223e12i | −0.368099 | − | 0.341546i | ||||
\(876\) | −2.77505e12 | − | 1.33639e12i | −0.159222 | − | 0.0766771i | ||||
\(877\) | 9.41908e12 | − | 6.42182e12i | 0.537663 | − | 0.366572i | −0.263837 | − | 0.964567i | \(-0.584988\pi\) |
0.801500 | + | 0.597995i | \(0.204036\pi\) | |||||||
\(878\) | −1.38387e12 | − | 3.52604e12i | −0.0785904 | − | 0.200245i | ||||
\(879\) | −3.78955e11 | + | 1.16892e11i | −0.0214110 | + | 0.00660443i | ||||
\(880\) | 3.13137e12 | − | 2.90548e12i | 0.176020 | − | 0.163323i | ||||
\(881\) | −1.62376e13 | + | 2.03613e13i | −0.908093 | + | 1.13871i | 0.0817646 | + | 0.996652i | \(0.473944\pi\) |
−0.989858 | + | 0.142061i | \(0.954627\pi\) | |||||||
\(882\) | 4.44027e11 | − | 5.56793e11i | 0.0247059 | − | 0.0309802i | ||||
\(883\) | −2.76602e12 | + | 2.56649e12i | −0.153120 | + | 0.142075i | −0.753013 | − | 0.658006i | \(-0.771400\pi\) |
0.599893 | + | 0.800080i | \(0.295210\pi\) | |||||||
\(884\) | 1.85144e13 | − | 5.71095e12i | 1.01971 | − | 0.314538i | ||||
\(885\) | 3.64718e11 | + | 9.29287e11i | 0.0199854 | + | 0.0509220i | ||||
\(886\) | −2.54695e12 | + | 1.73648e12i | −0.138857 | + | 0.0946712i | ||||
\(887\) | 6.30247e12 | + | 3.03511e12i | 0.341865 | + | 0.164633i | 0.596936 | − | 0.802289i | \(-0.296385\pi\) |
−0.255071 | + | 0.966922i | \(0.582099\pi\) | |||||||
\(888\) | −2.88150e12 | − | 2.67364e12i | −0.155511 | − | 0.144293i | ||||
\(889\) | 2.07990e13 | − | 3.13495e12i | 1.11682 | − | 0.168334i | ||||
\(890\) | −2.89783e10 | + | 3.86689e11i | −0.00154817 | + | 0.0206589i | ||||
\(891\) | −6.34727e12 | + | 1.61726e13i | −0.337394 | + | 0.859666i | ||||
\(892\) | 3.09111e12 | + | 1.35430e13i | 0.163483 | + | 0.716266i | ||||
\(893\) | −6.27736e11 | − | 8.37655e12i | −0.0330328 | − | 0.440792i | ||||
\(894\) | −1.14816e12 | − | 3.54161e11i | −0.0601152 | − | 0.0185431i | ||||
\(895\) | −2.12493e12 | + | 1.02331e12i | −0.110698 | + | 0.0533095i | ||||
\(896\) | −7.82761e12 | + | 1.35578e13i | −0.405736 | + | 0.702755i | ||||
\(897\) | −3.79784e12 | − | 6.57805e12i | −0.195871 | − | 0.339259i | ||||
\(898\) | 2.58627e12 | + | 1.76329e12i | 0.132718 | + | 0.0904859i | ||||
\(899\) | 7.02180e11 | − | 3.07645e12i | 0.0358534 | − | 0.157084i | ||||
\(900\) | 1.58826e13 | + | 2.39392e12i | 0.806921 | + | 0.121624i | ||||
\(901\) | −6.73448e12 | − | 8.44477e12i | −0.340442 | − | 0.426900i | ||||
\(902\) | 8.46066e12 | 0.425574 | ||||||||
\(903\) | 2.91259e12 | − | 2.54414e12i | 0.145775 | − | 0.127334i | ||||
\(904\) | −9.58914e12 | −0.477553 | ||||||||
\(905\) | 2.42209e12 | + | 3.03720e12i | 0.120025 | + | 0.150506i | ||||
\(906\) | −5.03431e11 | − | 7.58801e10i | −0.0248235 | − | 0.00374154i | ||||
\(907\) | 6.31937e11 | − | 2.76870e12i | 0.0310057 | − | 0.135845i | −0.957056 | − | 0.289903i | \(-0.906377\pi\) |
0.988062 | + | 0.154058i | \(0.0492342\pi\) | |||||||
\(908\) | −2.49019e13 | − | 1.69778e13i | −1.21576 | − | 0.828889i | ||||
\(909\) | −1.49448e13 | − | 2.58851e13i | −0.726026 | − | 1.25751i | ||||
\(910\) | 9.57107e11 | − | 1.65776e12i | 0.0462673 | − | 0.0801373i | ||||
\(911\) | −1.00068e12 | + | 4.81904e11i | −0.0481353 | + | 0.0231807i | −0.457797 | − | 0.889057i | \(-0.651361\pi\) |
0.409661 | + | 0.912238i | \(0.365647\pi\) | |||||||
\(912\) | 2.92651e12 | + | 9.02708e11i | 0.140079 | + | 0.0432086i | ||||
\(913\) | −2.76508e12 | − | 3.68975e13i | −0.131701 | − | 1.75743i | ||||
\(914\) | 3.49716e11 | + | 1.53220e12i | 0.0165751 | + | 0.0726204i | ||||
\(915\) | −4.39923e11 | + | 1.12091e12i | −0.0207483 | + | 0.0528657i | ||||
\(916\) | −2.10067e11 | + | 2.80315e12i | −0.00985890 | + | 0.131558i | ||||
\(917\) | 3.44013e13 | − | 5.18516e12i | 1.60662 | − | 0.242159i | ||||
\(918\) | 1.49103e12 | + | 1.38348e12i | 0.0692939 | + | 0.0642954i | ||||
\(919\) | −4.55412e12 | − | 2.19315e12i | −0.210613 | − | 0.101426i | 0.325604 | − | 0.945506i | \(-0.394433\pi\) |
−0.536216 | + | 0.844081i | \(0.680147\pi\) | |||||||
\(920\) | 3.66559e12 | − | 2.49916e12i | 0.168694 | − | 0.115013i | ||||
\(921\) | 1.81363e12 | + | 4.62106e12i | 0.0830580 | + | 0.211628i | ||||
\(922\) | 2.68892e11 | − | 8.29423e10i | 0.0122543 | − | 0.00377996i | ||||
\(923\) | 4.00817e13 | − | 3.71904e13i | 1.81777 | − | 1.68664i | ||||
\(924\) | 2.64156e12 | − | 3.31241e12i | 0.119216 | − | 0.149493i | ||||
\(925\) | −2.50456e13 | + | 3.14061e13i | −1.12485 | + | 1.41051i | ||||
\(926\) | 5.87742e12 | − | 5.45345e12i | 0.262686 | − | 0.243737i | ||||
\(927\) | −1.15671e13 | + | 3.56798e12i | −0.514476 | + | 0.158695i | ||||
\(928\) | −4.54326e12 | − | 1.15760e13i | −0.201095 | − | 0.512382i | ||||
\(929\) | 1.82583e13 | − | 1.24483e13i | 0.804249 | − | 0.548328i | −0.0899769 | − | 0.995944i | \(-0.528679\pi\) |
0.894226 | + | 0.447616i | \(0.147727\pi\) | |||||||
\(930\) | 6.94491e10 | + | 3.34449e10i | 0.00304434 | + | 0.00146608i | ||||
\(931\) | −2.29993e12 | − | 2.13402e12i | −0.100332 | − | 0.0930947i | ||||
\(932\) | 2.32711e13 | − | 3.50755e12i | 1.01029 | − | 0.152276i | ||||
\(933\) | 2.90039e11 | − | 3.87031e12i | 0.0125311 | − | 0.167216i | ||||
\(934\) | 1.83394e12 | − | 4.67280e12i | 0.0788540 | − | 0.200917i | ||||
\(935\) | −1.35905e12 | − | 5.95437e12i | −0.0581543 | − | 0.254791i | ||||
\(936\) | 1.14405e12 | + | 1.52663e13i | 0.0487197 | + | 0.650119i | ||||
\(937\) | −4.23183e12 | − | 1.30535e12i | −0.179350 | − | 0.0553220i | 0.203780 | − | 0.979017i | \(-0.434677\pi\) |
−0.383129 | + | 0.923695i | \(0.625154\pi\) | |||||||
\(938\) | −2.51738e12 | + | 1.21230e12i | −0.106178 | + | 0.0511327i | ||||
\(939\) | −1.30740e12 | + | 2.26448e12i | −0.0548797 | + | 0.0950545i | ||||
\(940\) | 1.59629e12 | + | 2.76486e12i | 0.0666864 | + | 0.115504i | ||||
\(941\) | 1.35753e13 | + | 9.25551e12i | 0.564413 | + | 0.384810i | 0.811649 | − | 0.584145i | \(-0.198570\pi\) |
−0.247236 | + | 0.968955i | \(0.579522\pi\) | |||||||
\(942\) | −3.50337e11 | + | 1.53493e12i | −0.0144963 | + | 0.0635124i | ||||
\(943\) | −5.05504e13 | − | 7.61925e12i | −2.08172 | − | 0.313768i | ||||
\(944\) | −1.09965e13 | − | 1.37892e13i | −0.450694 | − | 0.565152i | ||||
\(945\) | −2.64333e12 | −0.107822 | ||||||||
\(946\) | −5.24160e12 | + | 4.57852e12i | −0.212791 | + | 0.185873i | ||||
\(947\) | −4.35509e13 | −1.75963 | −0.879816 | − | 0.475315i | \(-0.842334\pi\) | ||||
−0.879816 | + | 0.475315i | \(0.842334\pi\) | |||||||
\(948\) | 1.38416e12 | + | 1.73568e12i | 0.0556606 | + | 0.0697961i | ||||
\(949\) | −2.96654e13 | − | 4.47134e12i | −1.18728 | − | 0.178953i | ||||
\(950\) | −1.19706e12 | + | 5.24465e12i | −0.0476825 | + | 0.208911i | ||||
\(951\) | −5.69667e12 | − | 3.88392e12i | −0.225844 | − | 0.153978i | ||||
\(952\) | 5.15296e12 | + | 8.92518e12i | 0.203325 | + | 0.352169i | ||||
\(953\) | 1.34263e13 | − | 2.32551e13i | 0.527277 | − | 0.913271i | −0.472217 | − | 0.881482i | \(-0.656546\pi\) |
0.999495 | − | 0.0317888i | \(-0.0101204\pi\) | |||||||
\(954\) | 3.70387e12 | − | 1.78369e12i | 0.144773 | − | 0.0697191i | ||||
\(955\) | −1.50590e12 | − | 4.64509e11i | −0.0585843 | − | 0.0180708i | ||||
\(956\) | −1.86864e12 | − | 2.49353e13i | −0.0723546 | − | 0.965505i | ||||
\(957\) | 9.83613e11 | + | 4.30949e12i | 0.0379071 | + | 0.166082i | ||||
\(958\) | −7.49080e11 | + | 1.90862e12i | −0.0287332 | + | 0.0732109i | ||||
\(959\) | 3.79442e11 | − | 5.06331e12i | 0.0144865 | − | 0.193308i | ||||
\(960\) | −9.38106e11 | + | 1.41397e11i | −0.0356477 | + | 0.00537302i | ||||
\(961\) | 1.85120e13 | + | 1.71766e13i | 0.700162 | + | 0.649655i | ||||
\(962\) | −1.66161e13 | − | 8.00189e12i | −0.625520 | − | 0.301235i | ||||
\(963\) | −1.83151e13 | + | 1.24870e13i | −0.686263 | + | 0.467886i | ||||
\(964\) | 1.34670e13 | + | 3.43133e13i | 0.502254 | + | 1.27972i | ||||
\(965\) | 1.04231e13 | − | 3.21510e12i | 0.386922 | − | 0.119350i | ||||
\(966\) | 1.42662e12 | − | 1.32371e12i | 0.0527122 | − | 0.0489098i | ||||
\(967\) | −1.02128e13 | + | 1.28065e13i | −0.375601 | + | 0.470989i | −0.933322 | − | 0.359040i | \(-0.883104\pi\) |
0.557721 | + | 0.830028i | \(0.311676\pi\) | |||||||
\(968\) | −1.13453e12 | + | 1.42266e12i | −0.0415314 | + | 0.0520788i | ||||
\(969\) | 3.20985e12 | − | 2.97831e12i | 0.116957 | − | 0.108521i | ||||
\(970\) | 1.06824e12 | − | 3.29508e11i | 0.0387432 | − | 0.0119507i | ||||
\(971\) | −1.36761e12 | − | 3.48461e12i | −0.0493714 | − | 0.125796i | 0.904061 | − | 0.427404i | \(-0.140572\pi\) |
−0.953432 | + | 0.301608i | \(0.902477\pi\) | |||||||
\(972\) | 1.27160e13 | − | 8.66961e12i | 0.456932 | − | 0.311531i | ||||
\(973\) | −4.23312e13 | − | 2.03856e13i | −1.51409 | − | 0.729149i | ||||
\(974\) | 6.34639e12 | + | 5.88859e12i | 0.225949 | + | 0.209650i | ||||
\(975\) | −7.18601e12 | + | 1.08312e12i | −0.254664 | + | 0.0383844i | ||||
\(976\) | 1.58979e12 | − | 2.12143e13i | 0.0560811 | − | 0.748350i | ||||
\(977\) | 1.54989e13 | − | 3.94906e13i | 0.544222 | − | 1.38665i | −0.349036 | − | 0.937109i | \(-0.613491\pi\) |
0.893258 | − | 0.449545i | \(-0.148414\pi\) | |||||||
\(978\) | 4.71146e11 | + | 2.06423e12i | 0.0164676 | + | 0.0721493i | ||||
\(979\) | 6.24713e11 | + | 8.33622e12i | 0.0217349 | + | 0.290033i | ||||
\(980\) | 1.13947e12 | + | 3.51481e11i | 0.0394627 | + | 0.0121726i | ||||
\(981\) | −4.88905e13 | + | 2.35444e13i | −1.68544 | + | 0.811667i | ||||
\(982\) | −1.91396e12 | + | 3.31507e12i | −0.0656797 | + | 0.113761i | ||||
\(983\) | 2.58903e13 | + | 4.48433e13i | 0.884394 | + | 1.53182i | 0.846406 | + | 0.532538i | \(0.178762\pi\) |
0.0379881 | + | 0.999278i | \(0.487905\pi\) | |||||||
\(984\) | −3.95449e12 | − | 2.69612e12i | −0.134466 | − | 0.0916773i | ||||
\(985\) | 1.83413e12 | − | 8.03586e12i | 0.0620823 | − | 0.272000i | ||||
\(986\) | −5.12152e12 | − | 7.71945e11i | −0.172565 | − | 0.0260100i | ||||
\(987\) | 1.81276e12 | + | 2.27313e12i | 0.0608013 | + | 0.0762424i | ||||
\(988\) | 3.24876e13 | 1.08470 | ||||||||
\(989\) | 3.54405e13 | − | 2.26352e13i | 1.17792 | − | 0.752319i | ||||
\(990\) | 2.32453e12 | 0.0769089 | ||||||||
\(991\) | 1.38246e13 | + | 1.73354e13i | 0.455323 | + | 0.570957i | 0.955509 | − | 0.294961i | \(-0.0953066\pi\) |
−0.500186 | + | 0.865918i | \(0.666735\pi\) | |||||||
\(992\) | −4.62277e12 | − | 6.96770e11i | −0.151565 | − | 0.0228448i | ||||
\(993\) | 1.85682e12 | − | 8.13527e12i | 0.0606037 | − | 0.265522i | ||||
\(994\) | 1.15751e13 | + | 7.89177e12i | 0.376085 | + | 0.256410i | ||||
\(995\) | −1.90228e12 | − | 3.29484e12i | −0.0615276 | − | 0.106569i | ||||
\(996\) | −5.04117e12 | + | 8.73156e12i | −0.162317 | + | 0.281141i | ||||
\(997\) | 2.24038e13 | − | 1.07891e13i | 0.718115 | − | 0.345826i | −0.0388824 | − | 0.999244i | \(-0.512380\pi\) |
0.756998 | + | 0.653418i | \(0.226665\pi\) | |||||||
\(998\) | −2.15469e12 | − | 6.64634e11i | −0.0687539 | − | 0.0212078i | ||||
\(999\) | 1.90316e12 | + | 2.53960e13i | 0.0604549 | + | 0.806715i |
(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 | 43.10.g.a.9.18 | ✓ | 384 | |
43.24 | even | 21 | inner | 43.10.g.a.24.18 | yes | 384 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.10.g.a.9.18 | ✓ | 384 | 1.1 | even | 1 | trivial | |
43.10.g.a.24.18 | yes | 384 | 43.24 | even | 21 | inner |