Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [27,8,Mod(4,27)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(27, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 8, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("27.4");
S:= CuspForms(chi, 8);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 27 = 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 8 \) |
Character orbit: | \([\chi]\) | \(=\) | 27.e (of order \(9\), 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: | \(8.43439568807\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 4.2 | ||
Character | \(\chi\) | \(=\) | 27.4 |
Dual form | 27.8.e.a.7.2 |
$q$-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 \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −19.1819 | − | 6.98163i | −1.69545 | − | 0.617095i | −0.700160 | − | 0.713986i | \(-0.746888\pi\) |
−0.995295 | + | 0.0968913i | \(0.969110\pi\) | |||||||
\(3\) | −45.3621 | − | 11.3703i | −0.969992 | − | 0.243135i | ||||
\(4\) | 221.148 | + | 185.565i | 1.72772 | + | 1.44973i | ||||
\(5\) | 73.2555 | − | 415.452i | 0.262087 | − | 1.48637i | −0.515117 | − | 0.857120i | \(-0.672252\pi\) |
0.777204 | − | 0.629248i | \(-0.216637\pi\) | |||||||
\(6\) | 790.746 | + | 534.805i | 1.49454 | + | 1.01080i | ||||
\(7\) | 1090.38 | − | 914.934i | 1.20153 | − | 1.00820i | 0.201940 | − | 0.979398i | \(-0.435275\pi\) |
0.999585 | − | 0.0288014i | \(-0.00916904\pi\) | |||||||
\(8\) | −1640.05 | − | 2840.66i | −1.13251 | − | 1.96157i | ||||
\(9\) | 1928.43 | + | 1031.56i | 0.881771 | + | 0.471678i | ||||
\(10\) | −4305.71 | + | 7457.72i | −1.36159 | + | 2.35834i | ||||
\(11\) | −356.707 | − | 2022.99i | −0.0808049 | − | 0.458267i | −0.998183 | − | 0.0602510i | \(-0.980810\pi\) |
0.917378 | − | 0.398016i | \(-0.130301\pi\) | |||||||
\(12\) | −7921.78 | − | 10932.1i | −1.32339 | − | 1.82629i | ||||
\(13\) | 824.032 | − | 299.923i | 0.104026 | − | 0.0378624i | −0.289483 | − | 0.957183i | \(-0.593483\pi\) |
0.393509 | + | 0.919321i | \(0.371261\pi\) | |||||||
\(14\) | −27303.2 | + | 9937.54i | −2.65929 | + | 0.967901i | ||||
\(15\) | −8046.84 | + | 18012.8i | −0.615610 | + | 1.37804i | ||||
\(16\) | 5210.24 | + | 29548.7i | 0.318008 | + | 1.80351i | ||||
\(17\) | 15072.9 | − | 26107.1i | 0.744091 | − | 1.28880i | −0.206527 | − | 0.978441i | \(-0.566216\pi\) |
0.950618 | − | 0.310363i | \(-0.100450\pi\) | |||||||
\(18\) | −29789.0 | − | 33250.9i | −1.20393 | − | 1.34385i | ||||
\(19\) | −7133.23 | − | 12355.1i | −0.238588 | − | 0.413246i | 0.721721 | − | 0.692184i | \(-0.243351\pi\) |
−0.960309 | + | 0.278937i | \(0.910018\pi\) | |||||||
\(20\) | 93293.7 | − | 78282.7i | 2.60764 | − | 2.18807i | ||||
\(21\) | −59864.7 | + | 29105.4i | −1.41060 | + | 0.685813i | ||||
\(22\) | −7281.44 | + | 41295.1i | −0.145793 | + | 0.826835i | ||||
\(23\) | 27506.4 | + | 23080.6i | 0.471396 | + | 0.395548i | 0.847304 | − | 0.531109i | \(-0.178224\pi\) |
−0.375907 | + | 0.926657i | \(0.622669\pi\) | |||||||
\(24\) | 42097.1 | + | 147506.i | 0.621603 | + | 2.17806i | ||||
\(25\) | −93820.9 | − | 34148.0i | −1.20091 | − | 0.437095i | ||||
\(26\) | −17900.4 | −0.199736 | ||||||||
\(27\) | −75748.5 | − | 68720.5i | −0.740630 | − | 0.671914i | ||||
\(28\) | 410913. | 3.53751 | ||||||||
\(29\) | −18256.8 | − | 6644.93i | −0.139005 | − | 0.0505938i | 0.271581 | − | 0.962416i | \(-0.412454\pi\) |
−0.410586 | + | 0.911822i | \(0.634676\pi\) | |||||||
\(30\) | 280113. | − | 289340.i | 1.89412 | − | 1.95652i | ||||
\(31\) | 96577.6 | + | 81038.2i | 0.582251 | + | 0.488567i | 0.885686 | − | 0.464286i | \(-0.153689\pi\) |
−0.303434 | + | 0.952852i | \(0.598133\pi\) | |||||||
\(32\) | 33449.4 | − | 189701.i | 0.180453 | − | 1.02340i | ||||
\(33\) | −6820.99 | + | 95822.7i | −0.0330407 | + | 0.464162i | ||||
\(34\) | −471397. | + | 395549.i | −2.05689 | + | 1.72593i | ||||
\(35\) | −300235. | − | 520023.i | −1.18365 | − | 2.05014i | ||||
\(36\) | 235047. | + | 585976.i | 0.839645 | + | 2.09325i | ||||
\(37\) | 80433.0 | − | 139314.i | 0.261053 | − | 0.452157i | −0.705469 | − | 0.708741i | \(-0.749264\pi\) |
0.966522 | + | 0.256584i | \(0.0825970\pi\) | |||||||
\(38\) | 50569.8 | + | 286796.i | 0.149503 | + | 0.847872i | ||||
\(39\) | −40790.0 | + | 4235.64i | −0.110110 | + | 0.0114339i | ||||
\(40\) | −1.30030e6 | + | 473271.i | −3.21243 | + | 1.16923i | ||||
\(41\) | −748958. | + | 272598.i | −1.69713 | + | 0.617703i | −0.995493 | − | 0.0948362i | \(-0.969767\pi\) |
−0.701632 | + | 0.712539i | \(0.747545\pi\) | |||||||
\(42\) | 1.35152e6 | − | 140342.i | 2.81482 | − | 0.292291i | ||||
\(43\) | −2452.85 | − | 13910.8i | −0.00470469 | − | 0.0266816i | 0.982365 | − | 0.186973i | \(-0.0598677\pi\) |
−0.987070 | + | 0.160291i | \(0.948757\pi\) | |||||||
\(44\) | 296510. | − | 513571.i | 0.524754 | − | 0.908900i | ||||
\(45\) | 569832. | − | 725605.i | 0.932188 | − | 1.18702i | ||||
\(46\) | −366484. | − | 634769.i | −0.555140 | − | 0.961531i | ||||
\(47\) | −589117. | + | 494328.i | −0.827673 | + | 0.694501i | −0.954756 | − | 0.297392i | \(-0.903883\pi\) |
0.127082 | + | 0.991892i | \(0.459439\pi\) | |||||||
\(48\) | 99630.7 | − | 1.39963e6i | 0.130032 | − | 1.82671i | ||||
\(49\) | 208808. | − | 1.18421e6i | 0.253549 | − | 1.43795i | ||||
\(50\) | 1.56125e6 | + | 1.31005e6i | 1.76636 | + | 1.48215i | ||||
\(51\) | −980583. | + | 1.01289e6i | −1.03512 | + | 1.06922i | ||||
\(52\) | 237888. | + | 86584.2i | 0.234618 | + | 0.0853939i | ||||
\(53\) | 1.68958e6 | 1.55888 | 0.779442 | − | 0.626475i | \(-0.215503\pi\) | ||||
0.779442 | + | 0.626475i | \(0.215503\pi\) | |||||||
\(54\) | 973218. | + | 1.84704e6i | 0.841069 | + | 1.59624i | ||||
\(55\) | −866586. | −0.702331 | ||||||||
\(56\) | −4.38728e6 | − | 1.59684e6i | −3.33840 | − | 1.21508i | ||||
\(57\) | 183097. | + | 641560.i | 0.130954 | + | 0.458855i | ||||
\(58\) | 303807. | + | 254924.i | 0.204456 | + | 0.171559i | ||||
\(59\) | −79286.9 | + | 449658.i | −0.0502597 | + | 0.285037i | −0.999571 | − | 0.0293019i | \(-0.990672\pi\) |
0.949311 | + | 0.314339i | \(0.101783\pi\) | |||||||
\(60\) | −5.12209e6 | + | 2.49029e6i | −3.06138 | + | 1.48840i | ||||
\(61\) | 433924. | − | 364106.i | 0.244771 | − | 0.205387i | −0.512146 | − | 0.858898i | \(-0.671149\pi\) |
0.756917 | + | 0.653511i | \(0.226705\pi\) | |||||||
\(62\) | −1.28676e6 | − | 2.22873e6i | −0.685688 | − | 1.18765i | ||||
\(63\) | 3.04652e6 | − | 639600.i | 1.53502 | − | 0.322268i | ||||
\(64\) | −45752.7 | + | 79246.0i | −0.0218166 | + | 0.0377874i | ||||
\(65\) | −64239.0 | − | 364317.i | −0.0290136 | − | 0.164544i | ||||
\(66\) | 799839. | − | 1.79044e6i | 0.342451 | − | 0.766577i | ||||
\(67\) | 16844.7 | − | 6130.98i | 0.00684230 | − | 0.00249039i | −0.338597 | − | 0.940932i | \(-0.609952\pi\) |
0.345439 | + | 0.938441i | \(0.387730\pi\) | |||||||
\(68\) | 8.17789e6 | − | 2.97651e6i | 3.15399 | − | 1.14796i | ||||
\(69\) | −985313. | − | 1.35974e6i | −0.361079 | − | 0.498292i | ||||
\(70\) | 2.12847e6 | + | 1.20712e7i | 0.741693 | + | 4.20635i | ||||
\(71\) | −1.27574e6 | + | 2.20965e6i | −0.423017 | + | 0.732687i | −0.996233 | − | 0.0867174i | \(-0.972362\pi\) |
0.573216 | + | 0.819404i | \(0.305696\pi\) | |||||||
\(72\) | −232425. | − | 7.16983e6i | −0.0733871 | − | 2.26384i | ||||
\(73\) | −1.09490e6 | − | 1.89641e6i | −0.329414 | − | 0.570563i | 0.652981 | − | 0.757374i | \(-0.273518\pi\) |
−0.982396 | + | 0.186811i | \(0.940185\pi\) | |||||||
\(74\) | −2.51550e6 | + | 2.11075e6i | −0.721627 | + | 0.605517i | ||||
\(75\) | 3.86764e6 | + | 2.61580e6i | 1.05860 | + | 0.715961i | ||||
\(76\) | 715179. | − | 4.05598e6i | 0.186882 | − | 1.05986i | ||||
\(77\) | −2.23984e6 | − | 1.87945e6i | −0.559114 | − | 0.469152i | ||||
\(78\) | 812001. | + | 203533.i | 0.193743 | + | 0.0485629i | ||||
\(79\) | 2.98294e6 | + | 1.08570e6i | 0.680691 | + | 0.247751i | 0.659144 | − | 0.752017i | \(-0.270919\pi\) |
0.0215468 | + | 0.999768i | \(0.493141\pi\) | |||||||
\(80\) | 1.26578e7 | 2.76403 | ||||||||
\(81\) | 2.65474e6 | + | 3.97859e6i | 0.555039 | + | 0.831824i | ||||
\(82\) | 1.62696e7 | 3.25858 | ||||||||
\(83\) | −3.88072e6 | − | 1.41246e6i | −0.744969 | − | 0.271147i | −0.0584821 | − | 0.998288i | \(-0.518626\pi\) |
−0.686487 | + | 0.727142i | \(0.740848\pi\) | |||||||
\(84\) | −1.86399e7 | − | 4.67221e6i | −3.43135 | − | 0.860091i | ||||
\(85\) | −9.74207e6 | − | 8.17457e6i | −1.72062 | − | 1.44377i | ||||
\(86\) | −50069.8 | + | 283960.i | −0.00848851 | + | 0.0481407i | ||||
\(87\) | 752611. | + | 509013.i | 0.122533 | + | 0.0828726i | ||||
\(88\) | −5.16159e6 | + | 4.33109e6i | −0.807410 | + | 0.677498i | ||||
\(89\) | −986256. | − | 1.70825e6i | −0.148294 | − | 0.256853i | 0.782303 | − | 0.622898i | \(-0.214045\pi\) |
−0.930597 | + | 0.366045i | \(0.880712\pi\) | |||||||
\(90\) | −1.59964e7 | + | 9.94010e6i | −2.31298 | + | 1.43728i | ||||
\(91\) | 624095. | − | 1.08096e6i | 0.0868172 | − | 0.150372i | ||||
\(92\) | 1.80002e6 | + | 1.02084e7i | 0.241002 | + | 1.36679i | ||||
\(93\) | −3.45953e6 | − | 4.77418e6i | −0.445992 | − | 0.615472i | ||||
\(94\) | 1.47516e7 | − | 5.36914e6i | 1.83186 | − | 0.666741i | ||||
\(95\) | −5.65551e6 | + | 2.05844e6i | −0.676767 | + | 0.246323i | ||||
\(96\) | −3.67429e6 | + | 8.22490e6i | −0.423862 | + | 0.948814i | ||||
\(97\) | −2.56578e6 | − | 1.45512e7i | −0.285442 | − | 1.61882i | −0.703703 | − | 0.710494i | \(-0.748471\pi\) |
0.418261 | − | 0.908327i | \(-0.362640\pi\) | |||||||
\(98\) | −1.22731e7 | + | 2.12576e7i | −1.31723 | + | 2.28151i | ||||
\(99\) | 1.39895e6 | − | 4.26916e6i | 0.144903 | − | 0.442200i | ||||
\(100\) | −1.44116e7 | − | 2.49616e7i | −1.44116 | − | 2.49616i | ||||
\(101\) | −6.19985e6 | + | 5.20230e6i | −0.598765 | + | 0.502424i | −0.891049 | − | 0.453908i | \(-0.850029\pi\) |
0.292283 | + | 0.956332i | \(0.405585\pi\) | |||||||
\(102\) | 2.58810e7 | − | 1.25830e7i | 2.41480 | − | 1.17404i | ||||
\(103\) | −3.55317e6 | + | 2.01511e7i | −0.320395 | + | 1.81705i | 0.219837 | + | 0.975537i | \(0.429447\pi\) |
−0.540233 | + | 0.841516i | \(0.681664\pi\) | |||||||
\(104\) | −2.20344e6 | − | 1.84890e6i | −0.192081 | − | 0.161175i | ||||
\(105\) | 7.70648e6 | + | 2.70031e7i | 0.649671 | + | 2.27641i | ||||
\(106\) | −3.24093e7 | − | 1.17960e7i | −2.64302 | − | 0.961979i | ||||
\(107\) | 1.52697e7 | 1.20500 | 0.602498 | − | 0.798120i | \(-0.294172\pi\) | ||||
0.602498 | + | 0.798120i | \(0.294172\pi\) | |||||||
\(108\) | −3.99949e6 | − | 2.92537e7i | −0.305507 | − | 2.23459i | ||||
\(109\) | −5.36888e6 | −0.397092 | −0.198546 | − | 0.980092i | \(-0.563622\pi\) | ||||
−0.198546 | + | 0.980092i | \(0.563622\pi\) | |||||||
\(110\) | 1.66227e7 | + | 6.05018e6i | 1.19077 | + | 0.433405i | ||||
\(111\) | −5.23265e6 | + | 5.40503e6i | −0.363154 | + | 0.375118i | ||||
\(112\) | 3.27162e7 | + | 2.74522e7i | 2.20039 | + | 1.84635i | ||||
\(113\) | −1.56632e6 | + | 8.88306e6i | −0.102119 | + | 0.579146i | 0.890213 | + | 0.455545i | \(0.150555\pi\) |
−0.992332 | + | 0.123601i | \(0.960556\pi\) | |||||||
\(114\) | 967001. | − | 1.35846e7i | 0.0611308 | − | 0.858779i | ||||
\(115\) | 1.16039e7 | − | 9.73682e6i | 0.711477 | − | 0.597000i | ||||
\(116\) | −2.80438e6 | − | 4.85733e6i | −0.166814 | − | 0.288931i | ||||
\(117\) | 1.89848e6 | + | 271657.i | 0.109586 | + | 0.0156809i | ||||
\(118\) | 4.66022e6 | − | 8.07174e6i | 0.261108 | − | 0.452252i | ||||
\(119\) | −7.45109e6 | − | 4.22572e7i | −0.405327 | − | 2.29872i | ||||
\(120\) | 6.43655e7 | − | 6.68373e6i | 3.40031 | − | 0.353089i | ||||
\(121\) | 1.43467e7 | − | 5.22178e6i | 0.736213 | − | 0.267960i | ||||
\(122\) | −1.08655e7 | + | 3.95473e6i | −0.541741 | + | 0.197178i | ||||
\(123\) | 3.70738e7 | − | 3.84975e6i | 1.79638 | − | 0.186537i | ||||
\(124\) | 6.32006e6 | + | 3.58428e7i | 0.297677 | + | 1.68821i | ||||
\(125\) | −4.58081e6 | + | 7.93420e6i | −0.209777 | + | 0.363344i | ||||
\(126\) | −6.29035e7 | − | 9.00098e6i | −2.80142 | − | 0.400860i | ||||
\(127\) | 7.62266e6 | + | 1.32028e7i | 0.330213 | + | 0.571945i | 0.982553 | − | 0.185981i | \(-0.0595462\pi\) |
−0.652341 | + | 0.757926i | \(0.726213\pi\) | |||||||
\(128\) | −1.74569e7 | + | 1.46481e7i | −0.735755 | + | 0.617372i | ||||
\(129\) | −46903.6 | + | 658912.i | −0.00192372 | + | 0.0270249i | ||||
\(130\) | −1.31131e6 | + | 7.43678e6i | −0.0523483 | + | 0.296882i | ||||
\(131\) | 5.63340e6 | + | 4.72698e6i | 0.218938 | + | 0.183711i | 0.745660 | − | 0.666327i | \(-0.232135\pi\) |
−0.526722 | + | 0.850038i | \(0.676579\pi\) | |||||||
\(132\) | −1.92898e7 | + | 1.99252e7i | −0.729993 | + | 0.754040i | ||||
\(133\) | −1.90820e7 | − | 6.94528e6i | −0.703304 | − | 0.255982i | ||||
\(134\) | −365918. | −0.0131376 | ||||||||
\(135\) | −3.40991e7 | + | 2.64358e7i | −1.19282 | + | 0.924748i | ||||
\(136\) | −9.88815e7 | −3.37077 | ||||||||
\(137\) | 3.38816e7 | + | 1.23319e7i | 1.12575 | + | 0.409740i | 0.836748 | − | 0.547588i | \(-0.184454\pi\) |
0.289003 | + | 0.957328i | \(0.406676\pi\) | |||||||
\(138\) | 9.40696e6 | + | 3.29615e7i | 0.304700 | + | 1.06765i | ||||
\(139\) | 1.46861e7 | + | 1.23231e7i | 0.463825 | + | 0.389195i | 0.844536 | − | 0.535499i | \(-0.179876\pi\) |
−0.380711 | + | 0.924694i | \(0.624321\pi\) | |||||||
\(140\) | 3.01017e7 | − | 1.70715e8i | 0.927134 | − | 5.25804i | ||||
\(141\) | 3.23442e7 | − | 1.57253e7i | 0.971694 | − | 0.472424i | ||||
\(142\) | 3.98980e7 | − | 3.34784e7i | 1.16934 | − | 0.981196i | ||||
\(143\) | −900679. | − | 1.56002e6i | −0.0257569 | − | 0.0446123i | ||||
\(144\) | −2.04337e7 | + | 6.23574e7i | −0.570267 | + | 1.74028i | ||||
\(145\) | −4.09806e6 | + | 7.09805e6i | −0.111632 | + | 0.193353i | ||||
\(146\) | 7.76208e6 | + | 4.40210e7i | 0.206416 | + | 1.17064i | ||||
\(147\) | −2.29368e7 | + | 5.13440e7i | −0.595555 | + | 1.33315i | ||||
\(148\) | 4.36394e7 | − | 1.58834e7i | 1.10653 | − | 0.402743i | ||||
\(149\) | 3.33730e6 | − | 1.21468e6i | 0.0826502 | − | 0.0300822i | −0.300364 | − | 0.953825i | \(-0.597108\pi\) |
0.383014 | + | 0.923742i | \(0.374886\pi\) | |||||||
\(150\) | −5.59260e7 | − | 7.71783e7i | −1.35299 | − | 1.86714i | ||||
\(151\) | 1.26566e7 | + | 7.17790e7i | 0.299155 | + | 1.69659i | 0.649816 | + | 0.760092i | \(0.274846\pi\) |
−0.350660 | + | 0.936503i | \(0.614043\pi\) | |||||||
\(152\) | −2.33977e7 | + | 4.05261e7i | −0.540408 | + | 0.936013i | ||||
\(153\) | 5.59981e7 | − | 3.47971e7i | 1.26402 | − | 0.785458i | ||||
\(154\) | 2.98428e7 | + | 5.16892e7i | 0.658440 | + | 1.14045i | ||||
\(155\) | 4.07424e7 | − | 3.41869e7i | 0.878790 | − | 0.737393i | ||||
\(156\) | −9.80660e6 | − | 6.63249e6i | −0.206815 | − | 0.139875i | ||||
\(157\) | 5.05629e6 | − | 2.86757e7i | 0.104276 | − | 0.591377i | −0.887231 | − | 0.461325i | \(-0.847374\pi\) |
0.991507 | − | 0.130053i | \(-0.0415146\pi\) | |||||||
\(158\) | −4.96385e7 | − | 4.16516e7i | −1.00119 | − | 0.840102i | ||||
\(159\) | −7.66429e7 | − | 1.92110e7i | −1.51210 | − | 0.379019i | ||||
\(160\) | −7.63614e7 | − | 2.77933e7i | −1.47385 | − | 0.536438i | ||||
\(161\) | 5.11095e7 | 0.965186 | ||||||||
\(162\) | −2.31458e7 | − | 9.48512e7i | −0.427730 | − | 1.75283i | ||||
\(163\) | −4.34125e7 | −0.785160 | −0.392580 | − | 0.919718i | \(-0.628417\pi\) | ||||
−0.392580 | + | 0.919718i | \(0.628417\pi\) | |||||||
\(164\) | −2.16215e8 | − | 7.86958e7i | −3.82765 | − | 1.39315i | ||||
\(165\) | 3.93101e7 | + | 9.85334e6i | 0.681256 | + | 0.170761i | ||||
\(166\) | 6.45781e7 | + | 5.41875e7i | 1.09574 | + | 0.919434i | ||||
\(167\) | −1.36287e6 | + | 7.72920e6i | −0.0226436 | + | 0.128418i | −0.994034 | − | 0.109070i | \(-0.965213\pi\) |
0.971391 | + | 0.237488i | \(0.0763240\pi\) | |||||||
\(168\) | 1.80860e8 | + | 1.22321e8i | 2.94279 | + | 1.99030i | ||||
\(169\) | −4.74791e7 | + | 3.98397e7i | −0.756657 | + | 0.634910i | ||||
\(170\) | 1.29799e8 | + | 2.24819e8i | 2.02629 | + | 3.50963i | ||||
\(171\) | −1.01091e6 | − | 3.11844e7i | −0.0154606 | − | 0.476925i | ||||
\(172\) | 2.03891e6 | − | 3.53150e6i | 0.0305527 | − | 0.0529188i | ||||
\(173\) | −1.55348e7 | − | 8.81021e7i | −0.228110 | − | 1.29367i | −0.856651 | − | 0.515897i | \(-0.827459\pi\) |
0.628541 | − | 0.777776i | \(-0.283652\pi\) | |||||||
\(174\) | −1.08827e7 | − | 1.50183e7i | −0.156609 | − | 0.216121i | ||||
\(175\) | −1.33543e8 | + | 4.86057e7i | −1.88360 | + | 0.685574i | ||||
\(176\) | 5.79182e7 | − | 2.10805e7i | 0.800793 | − | 0.291465i | ||||
\(177\) | 8.70937e6 | − | 1.94959e7i | 0.118054 | − | 0.264264i | ||||
\(178\) | 6.99190e6 | + | 3.96531e7i | 0.0929235 | + | 0.526995i | ||||
\(179\) | 1.22778e7 | − | 2.12657e7i | 0.160005 | − | 0.277137i | −0.774865 | − | 0.632127i | \(-0.782182\pi\) |
0.934870 | + | 0.354989i | \(0.115516\pi\) | |||||||
\(180\) | 2.60664e8 | − | 5.47249e7i | 3.33140 | − | 0.699408i | ||||
\(181\) | −6.47329e7 | − | 1.12121e8i | −0.811428 | − | 1.40543i | −0.911865 | − | 0.410491i | \(-0.865357\pi\) |
0.100437 | − | 0.994943i | \(-0.467976\pi\) | |||||||
\(182\) | −1.95182e7 | + | 1.63777e7i | −0.239988 | + | 0.201374i | ||||
\(183\) | −2.38237e7 | + | 1.15827e7i | −0.287362 | + | 0.139712i | ||||
\(184\) | 2.04521e7 | − | 1.15990e8i | 0.242034 | − | 1.37264i | ||||
\(185\) | −5.19862e7 | − | 4.36216e7i | −0.603653 | − | 0.506525i | ||||
\(186\) | 3.30287e7 | + | 1.15731e8i | 0.376354 | + | 1.31872i | ||||
\(187\) | −5.81909e7 | − | 2.11797e7i | −0.650742 | − | 0.236851i | ||||
\(188\) | −2.22012e8 | −2.43682 | ||||||||
\(189\) | −1.45469e8 | − | 5.62631e6i | −1.56731 | − | 0.0606188i | ||||
\(190\) | 1.22855e8 | 1.29943 | ||||||||
\(191\) | 1.55434e8 | + | 5.65734e7i | 1.61410 | + | 0.587483i | 0.982244 | − | 0.187605i | \(-0.0600726\pi\) |
0.631852 | + | 0.775089i | \(0.282295\pi\) | |||||||
\(192\) | 2.97649e6 | − | 3.07454e6i | 0.0303494 | − | 0.0313492i | ||||
\(193\) | −6.16406e7 | − | 5.17226e7i | −0.617186 | − | 0.517881i | 0.279732 | − | 0.960078i | \(-0.409755\pi\) |
−0.896918 | + | 0.442198i | \(0.854199\pi\) | |||||||
\(194\) | −5.23750e7 | + | 2.97033e8i | −0.515013 | + | 2.92078i | ||||
\(195\) | −1.22838e6 | + | 1.72566e7i | −0.0118635 | + | 0.166661i | ||||
\(196\) | 2.65925e8 | − | 2.23138e8i | 2.52269 | − | 2.11679i | ||||
\(197\) | −5.19210e7 | − | 8.99298e7i | −0.483850 | − | 0.838053i | 0.515978 | − | 0.856602i | \(-0.327429\pi\) |
−0.999828 | + | 0.0185487i | \(0.994095\pi\) | |||||||
\(198\) | −5.66401e7 | + | 7.21236e7i | −0.518557 | + | 0.660312i | ||||
\(199\) | 6.51006e7 | − | 1.12758e8i | 0.585598 | − | 1.01428i | −0.409203 | − | 0.912443i | \(-0.634193\pi\) |
0.994801 | − | 0.101841i | \(-0.0324734\pi\) | |||||||
\(200\) | 5.68685e7 | + | 3.22518e8i | 0.502652 | + | 2.85068i | ||||
\(201\) | −833823. | + | 86584.3i | −0.00724248 | + | 0.000752061i | ||||
\(202\) | 1.55245e8 | − | 5.65047e7i | 1.32522 | − | 0.482342i | ||||
\(203\) | −2.59864e7 | + | 9.45828e6i | −0.218027 | + | 0.0793553i | ||||
\(204\) | −4.04810e8 | + | 4.20355e7i | −3.33845 | + | 0.346666i | ||||
\(205\) | 5.83864e7 | + | 3.31126e8i | 0.473340 | + | 2.68444i | ||||
\(206\) | 2.08844e8 | − | 3.61728e8i | 1.66451 | − | 2.88302i | ||||
\(207\) | 2.92352e7 | + | 7.28839e7i | 0.229092 | + | 0.571130i | ||||
\(208\) | 1.31558e7 | + | 2.27864e7i | 0.101366 | + | 0.175572i | ||||
\(209\) | −2.24498e7 | + | 1.88376e7i | −0.170098 | + | 0.142729i | ||||
\(210\) | 4.07008e7 | − | 5.71774e8i | 0.303274 | − | 4.26046i | ||||
\(211\) | 1.12387e7 | − | 6.37381e7i | 0.0823624 | − | 0.467100i | −0.915532 | − | 0.402245i | \(-0.868230\pi\) |
0.997895 | − | 0.0648558i | \(-0.0206588\pi\) | |||||||
\(212\) | 3.73647e8 | + | 3.13527e8i | 2.69331 | + | 2.25995i | ||||
\(213\) | 8.29945e7 | − | 8.57285e7i | 0.588465 | − | 0.607851i | ||||
\(214\) | −2.92901e8 | − | 1.06607e8i | −2.04302 | − | 0.743598i | ||||
\(215\) | −5.95896e6 | −0.0408918 | ||||||||
\(216\) | −7.09798e7 | + | 3.27881e8i | −0.479233 | + | 2.21375i | ||||
\(217\) | 1.79450e8 | 1.19216 | ||||||||
\(218\) | 1.02985e8 | + | 3.74836e7i | 0.673252 | + | 0.245044i | ||||
\(219\) | 2.81039e7 | + | 9.84746e7i | 0.180806 | + | 0.633534i | ||||
\(220\) | −1.91643e8 | − | 1.60808e8i | −1.21343 | − | 1.01819i | ||||
\(221\) | 4.59046e6 | − | 2.60338e7i | 0.0286077 | − | 0.162242i | ||||
\(222\) | 1.38108e8 | − | 6.71461e7i | 0.847195 | − | 0.411894i | ||||
\(223\) | −1.00153e7 | + | 8.40386e6i | −0.0604781 | + | 0.0507471i | −0.672526 | − | 0.740074i | \(-0.734791\pi\) |
0.612048 | + | 0.790821i | \(0.290346\pi\) | |||||||
\(224\) | −1.37091e8 | − | 2.37449e8i | −0.814971 | − | 1.41157i | ||||
\(225\) | −1.45702e8 | − | 1.62634e8i | −0.852757 | − | 0.951859i | ||||
\(226\) | 9.20633e7 | − | 1.59458e8i | 0.530526 | − | 0.918898i | ||||
\(227\) | −3.05092e7 | − | 1.73026e8i | −0.173117 | − | 0.981797i | −0.940295 | − | 0.340362i | \(-0.889450\pi\) |
0.767177 | − | 0.641435i | \(-0.221661\pi\) | |||||||
\(228\) | −7.85597e7 | + | 1.75856e8i | −0.438963 | + | 0.982618i | ||||
\(229\) | −3.22812e8 | + | 1.17494e8i | −1.77634 | + | 0.646534i | −0.776472 | + | 0.630152i | \(0.782993\pi\) |
−0.999866 | + | 0.0163824i | \(0.994785\pi\) | |||||||
\(230\) | −2.90563e8 | + | 1.05756e8i | −1.57468 | + | 0.573138i | ||||
\(231\) | 8.02340e7 | + | 1.10723e8i | 0.428269 | + | 0.591014i | ||||
\(232\) | 1.10662e7 | + | 6.27593e7i | 0.0581820 | + | 0.329967i | ||||
\(233\) | 9.95569e7 | − | 1.72438e8i | 0.515615 | − | 0.893072i | −0.484220 | − | 0.874946i | \(-0.660897\pi\) |
0.999836 | − | 0.0181258i | \(-0.00576993\pi\) | |||||||
\(234\) | −3.45198e7 | − | 1.84654e7i | −0.176122 | − | 0.0942113i | ||||
\(235\) | 1.62214e8 | + | 2.80962e8i | 0.815361 | + | 1.41225i | ||||
\(236\) | −1.00975e8 | + | 8.47280e7i | −0.500059 | + | 0.419600i | ||||
\(237\) | −1.22968e8 | − | 8.31666e7i | −0.600028 | − | 0.405817i | ||||
\(238\) | −1.52098e8 | + | 8.62593e8i | −0.731317 | + | 4.14750i | ||||
\(239\) | 1.07480e8 | + | 9.01861e7i | 0.509253 | + | 0.427314i | 0.860866 | − | 0.508832i | \(-0.169922\pi\) |
−0.351613 | + | 0.936145i | \(0.614367\pi\) | |||||||
\(240\) | −5.74183e8 | − | 1.43923e8i | −2.68109 | − | 0.672032i | ||||
\(241\) | 2.01677e8 | + | 7.34045e7i | 0.928106 | + | 0.337803i | 0.761458 | − | 0.648214i | \(-0.224484\pi\) |
0.166647 | + | 0.986017i | \(0.446706\pi\) | |||||||
\(242\) | −3.11653e8 | −1.41357 | ||||||||
\(243\) | −7.51866e7 | − | 2.10662e8i | −0.336139 | − | 0.941813i | ||||
\(244\) | 1.63527e8 | 0.720649 | ||||||||
\(245\) | −4.76687e8 | − | 1.73500e8i | −2.07086 | − | 0.753733i | ||||
\(246\) | −7.38023e8 | − | 1.84990e8i | −3.16080 | − | 0.792275i | ||||
\(247\) | −9.58359e6 | − | 8.04159e6i | −0.0404659 | − | 0.0339549i | ||||
\(248\) | 7.18093e7 | − | 4.07251e8i | 0.298951 | − | 1.69543i | ||||
\(249\) | 1.59977e8 | + | 1.08197e8i | 0.656690 | + | 0.444138i | ||||
\(250\) | 1.43262e8 | − | 1.20211e8i | 0.579885 | − | 0.486581i | ||||
\(251\) | 1.73699e8 | + | 3.00855e8i | 0.693329 | + | 1.20088i | 0.970741 | + | 0.240129i | \(0.0771899\pi\) |
−0.277412 | + | 0.960751i | \(0.589477\pi\) | |||||||
\(252\) | 7.92419e8 | + | 4.23882e8i | 3.11927 | + | 1.66856i | ||||
\(253\) | 3.68800e7 | − | 6.38781e7i | 0.143176 | − | 0.247988i | ||||
\(254\) | −5.40396e7 | − | 3.06474e8i | −0.206916 | − | 1.17348i | ||||
\(255\) | 3.48973e8 | + | 4.81585e8i | 1.31796 | + | 1.81879i | ||||
\(256\) | 4.48131e8 | − | 1.63106e8i | 1.66942 | − | 0.607618i | ||||
\(257\) | −5.96993e7 | + | 2.17288e7i | −0.219383 | + | 0.0798490i | −0.449374 | − | 0.893344i | \(-0.648353\pi\) |
0.229990 | + | 0.973193i | \(0.426131\pi\) | |||||||
\(258\) | 5.49998e6 | − | 1.23117e7i | 0.0199385 | − | 0.0446323i | ||||
\(259\) | −3.97609e7 | − | 2.25496e8i | −0.142203 | − | 0.806471i | ||||
\(260\) | 5.33982e7 | − | 9.24884e7i | 0.188417 | − | 0.326348i | ||||
\(261\) | −2.83523e7 | − | 3.16473e7i | −0.0987068 | − | 0.110178i | ||||
\(262\) | −7.50571e7 | − | 1.30003e8i | −0.257832 | − | 0.446579i | ||||
\(263\) | 1.72849e8 | − | 1.45037e8i | 0.585897 | − | 0.491626i | −0.300981 | − | 0.953630i | \(-0.597314\pi\) |
0.886878 | + | 0.462004i | \(0.152870\pi\) | |||||||
\(264\) | 2.83386e8 | − | 1.37778e8i | 0.947905 | − | 0.460858i | ||||
\(265\) | 1.23771e8 | − | 7.01941e8i | 0.408563 | − | 2.31707i | ||||
\(266\) | 3.17539e8 | + | 2.66447e8i | 1.03446 | + | 0.868011i | ||||
\(267\) | 2.53154e7 | + | 8.87036e7i | 0.0813944 | + | 0.285202i | ||||
\(268\) | 4.86287e6 | + | 1.76994e6i | 0.0154319 | + | 0.00561677i | ||||
\(269\) | 5.92755e8 | 1.85670 | 0.928351 | − | 0.371705i | \(-0.121227\pi\) | ||||
0.928351 | + | 0.371705i | \(0.121227\pi\) | |||||||
\(270\) | 8.38650e8 | − | 2.69020e8i | 2.59303 | − | 0.831786i | ||||
\(271\) | −6.87155e7 | −0.209731 | −0.104865 | − | 0.994486i | \(-0.533441\pi\) | ||||
−0.104865 | + | 0.994486i | \(0.533441\pi\) | |||||||
\(272\) | 8.49964e8 | + | 3.09362e8i | 2.56100 | + | 0.932127i | ||||
\(273\) | −4.06011e7 | + | 4.19386e7i | −0.120773 | + | 0.124751i | ||||
\(274\) | −5.63817e8 | − | 4.73098e8i | −1.65581 | − | 1.38939i | ||||
\(275\) | −3.56144e7 | + | 2.01979e8i | −0.103267 | + | 0.585656i | ||||
\(276\) | 3.44202e7 | − | 4.83543e8i | 0.0985444 | − | 1.38437i | ||||
\(277\) | 1.76840e8 | − | 1.48386e8i | 0.499920 | − | 0.419483i | −0.357645 | − | 0.933858i | \(-0.616420\pi\) |
0.857566 | + | 0.514374i | \(0.171976\pi\) | |||||||
\(278\) | −1.95671e8 | − | 3.38913e8i | −0.546224 | − | 0.946087i | ||||
\(279\) | 1.02648e8 | + | 2.55902e8i | 0.282966 | + | 0.705439i | ||||
\(280\) | −9.84804e8 | + | 1.70573e9i | −2.68100 | + | 4.64363i | ||||
\(281\) | 4.79284e7 | + | 2.71815e8i | 0.128861 | + | 0.730806i | 0.978940 | + | 0.204150i | \(0.0654431\pi\) |
−0.850079 | + | 0.526655i | \(0.823446\pi\) | |||||||
\(282\) | −7.30211e8 | + | 7.58253e7i | −1.93899 | + | 0.201346i | ||||
\(283\) | −3.85024e8 | + | 1.40137e8i | −1.00980 | + | 0.367537i | −0.793356 | − | 0.608758i | \(-0.791668\pi\) |
−0.216444 | + | 0.976295i | \(0.569446\pi\) | |||||||
\(284\) | −6.92159e8 | + | 2.51925e8i | −1.79305 | + | 0.652616i | ||||
\(285\) | 2.79951e8 | − | 2.90701e7i | 0.716348 | − | 0.0743858i | ||||
\(286\) | 6.38522e6 | + | 3.62124e7i | 0.0161397 | + | 0.0915326i | ||||
\(287\) | −5.67236e8 | + | 9.82481e8i | −1.41637 | + | 2.45323i | ||||
\(288\) | 2.60193e8 | − | 3.31320e8i | 0.641832 | − | 0.817287i | ||||
\(289\) | −2.49216e8 | − | 4.31655e8i | −0.607343 | − | 1.05195i | ||||
\(290\) | 1.28164e8 | − | 1.07543e8i | 0.308585 | − | 0.258933i | ||||
\(291\) | −4.90630e7 | + | 6.89248e8i | −0.116716 | + | 1.63965i | ||||
\(292\) | 1.09774e8 | − | 6.22562e8i | 0.258025 | − | 1.46333i | ||||
\(293\) | −2.86380e8 | − | 2.40301e8i | −0.665129 | − | 0.558110i | 0.246490 | − | 0.969145i | \(-0.420723\pi\) |
−0.911619 | + | 0.411036i | \(0.865167\pi\) | |||||||
\(294\) | 7.98436e8 | − | 8.24738e8i | 1.83242 | − | 1.89278i | ||||
\(295\) | 1.81004e8 | + | 6.58799e7i | 0.410497 | + | 0.149409i | ||||
\(296\) | −5.27658e8 | −1.18258 | ||||||||
\(297\) | −1.12001e8 | + | 1.77751e8i | −0.248069 | + | 0.393700i | ||||
\(298\) | −7.24962e7 | −0.158693 | ||||||||
\(299\) | 2.95886e7 | + | 1.07694e7i | 0.0640140 | + | 0.0232992i | ||||
\(300\) | 3.69919e8 | + | 1.29617e9i | 0.791010 | + | 2.77165i | ||||
\(301\) | −1.54020e7 | − | 1.29238e7i | −0.0325532 | − | 0.0273154i | ||||
\(302\) | 2.58358e8 | − | 1.46522e9i | 0.539756 | − | 3.06111i | ||||
\(303\) | 3.40390e8 | − | 1.65493e8i | 0.702955 | − | 0.341766i | ||||
\(304\) | 3.27912e8 | − | 2.75151e8i | 0.669422 | − | 0.561711i | ||||
\(305\) | −1.19481e8 | − | 2.06948e8i | −0.241129 | − | 0.417649i | ||||
\(306\) | −1.31709e9 | + | 2.76515e8i | −2.62779 | + | 0.551689i | ||||
\(307\) | 1.80261e8 | − | 3.12222e8i | 0.355565 | − | 0.615856i | −0.631650 | − | 0.775254i | \(-0.717622\pi\) |
0.987214 | + | 0.159398i | \(0.0509553\pi\) | |||||||
\(308\) | −1.46576e8 | − | 8.31273e8i | −0.285848 | − | 1.62112i | ||||
\(309\) | 3.90303e8 | − | 8.73692e8i | 0.752570 | − | 1.68463i | ||||
\(310\) | −1.02020e9 | + | 3.71321e8i | −1.94499 | + | 0.707919i | ||||
\(311\) | −7.55450e8 | + | 2.74961e8i | −1.42411 | + | 0.518335i | −0.935238 | − | 0.354020i | \(-0.884815\pi\) |
−0.488874 | + | 0.872354i | \(0.662592\pi\) | |||||||
\(312\) | 7.89298e7 | + | 1.08924e8i | 0.147130 | + | 0.203040i | ||||
\(313\) | 1.46510e8 | + | 8.30898e8i | 0.270061 | + | 1.53159i | 0.754227 | + | 0.656614i | \(0.228012\pi\) |
−0.484166 | + | 0.874976i | \(0.660877\pi\) | |||||||
\(314\) | −2.97192e8 | + | 5.14752e8i | −0.541731 | + | 0.938305i | ||||
\(315\) | −4.25488e7 | − | 1.31254e9i | −0.0767009 | − | 2.36606i | ||||
\(316\) | 4.58202e8 | + | 7.93630e8i | 0.816869 | + | 1.41486i | ||||
\(317\) | 2.99587e8 | − | 2.51383e8i | 0.528221 | − | 0.443230i | −0.339266 | − | 0.940691i | \(-0.610179\pi\) |
0.867487 | + | 0.497461i | \(0.165734\pi\) | |||||||
\(318\) | 1.33603e9 | + | 9.03596e8i | 2.32981 | + | 1.57572i | ||||
\(319\) | −6.93027e6 | + | 3.93035e7i | −0.0119532 | + | 0.0677898i | ||||
\(320\) | 2.95713e7 | + | 2.48133e7i | 0.0504482 | + | 0.0423311i | ||||
\(321\) | −6.92663e8 | − | 1.73620e8i | −1.16884 | − | 0.292977i | ||||
\(322\) | −9.80376e8 | − | 3.56828e8i | −1.63643 | − | 0.595612i | ||||
\(323\) | −4.30074e8 | −0.710124 | ||||||||
\(324\) | −1.51198e8 | + | 1.37248e9i | −0.246966 | + | 2.24181i | ||||
\(325\) | −8.75533e7 | −0.141475 | ||||||||
\(326\) | 8.32733e8 | + | 3.03090e8i | 1.33120 | + | 0.484518i | ||||
\(327\) | 2.43544e8 | + | 6.10458e7i | 0.385176 | + | 0.0965470i | ||||
\(328\) | 2.00269e9 | + | 1.68046e9i | 3.13368 | + | 2.62947i | ||||
\(329\) | −1.90081e8 | + | 1.07801e9i | −0.294276 | + | 1.66892i | ||||
\(330\) | −6.85249e8 | − | 4.63454e8i | −1.04966 | − | 0.709918i | ||||
\(331\) | −1.64447e8 | + | 1.37988e8i | −0.249246 | + | 0.209142i | −0.758848 | − | 0.651268i | \(-0.774237\pi\) |
0.509602 | + | 0.860411i | \(0.329793\pi\) | |||||||
\(332\) | −5.96107e8 | − | 1.03249e9i | −0.894007 | − | 1.54847i | ||||
\(333\) | 2.98821e8 | − | 1.85686e8i | 0.443461 | − | 0.275566i | ||||
\(334\) | 8.01048e7 | − | 1.38746e8i | 0.117637 | − | 0.203754i | ||||
\(335\) | −1.31316e6 | − | 7.44731e6i | −0.00190837 | − | 0.0108229i | ||||
\(336\) | −1.17194e9 | − | 1.61728e9i | −1.68545 | − | 2.32594i | ||||
\(337\) | 7.80153e8 | − | 2.83953e8i | 1.11039 | − | 0.404149i | 0.279253 | − | 0.960218i | \(-0.409913\pi\) |
0.831136 | + | 0.556069i | \(0.187691\pi\) | |||||||
\(338\) | 1.18888e9 | − | 4.32718e8i | 1.67468 | − | 0.609533i | ||||
\(339\) | 1.72055e8 | − | 3.85144e8i | 0.239865 | − | 0.536938i | ||||
\(340\) | −6.37523e8 | − | 3.61557e9i | −0.879669 | − | 4.98885i | ||||
\(341\) | 1.29489e8 | − | 2.24282e8i | 0.176845 | − | 0.306305i | ||||
\(342\) | −1.98327e8 | + | 6.05232e8i | −0.268096 | + | 0.818146i | ||||
\(343\) | −2.69685e8 | − | 4.67109e8i | −0.360851 | − | 0.625012i | ||||
\(344\) | −3.54930e7 | + | 2.97821e7i | −0.0470097 | + | 0.0394459i | ||||
\(345\) | −6.37087e8 | + | 3.09742e8i | −0.835279 | + | 0.406101i | ||||
\(346\) | −3.17110e8 | + | 1.79842e9i | −0.411570 | + | 2.33413i | ||||
\(347\) | −1.55054e8 | − | 1.30106e8i | −0.199219 | − | 0.167164i | 0.537721 | − | 0.843123i | \(-0.319285\pi\) |
−0.736940 | + | 0.675959i | \(0.763730\pi\) | |||||||
\(348\) | 7.19832e7 | + | 2.52225e8i | 0.0915595 | + | 0.320820i | ||||
\(349\) | 1.04791e9 | + | 3.81407e8i | 1.31957 | + | 0.480286i | 0.903322 | − | 0.428963i | \(-0.141121\pi\) |
0.416252 | + | 0.909249i | \(0.363343\pi\) | |||||||
\(350\) | 2.90096e9 | 3.61662 | ||||||||
\(351\) | −8.30301e7 | − | 3.39092e7i | −0.102485 | − | 0.0418546i | ||||
\(352\) | −3.95694e8 | −0.483571 | ||||||||
\(353\) | −1.19574e8 | − | 4.35213e7i | −0.144685 | − | 0.0526612i | 0.268662 | − | 0.963234i | \(-0.413418\pi\) |
−0.413348 | + | 0.910573i | \(0.635641\pi\) | |||||||
\(354\) | −3.03175e8 | + | 3.13163e8i | −0.363231 | + | 0.375196i | ||||
\(355\) | 8.24548e8 | + | 6.91878e8i | 0.978175 | + | 0.820786i | ||||
\(356\) | 9.88823e7 | − | 5.60789e8i | 0.116156 | − | 0.658756i | ||||
\(357\) | −1.42480e8 | + | 2.00159e9i | −0.165736 | + | 2.32829i | ||||
\(358\) | −3.83980e8 | + | 3.22198e8i | −0.442302 | + | 0.371135i | ||||
\(359\) | −3.11954e8 | − | 5.40320e8i | −0.355844 | − | 0.616340i | 0.631418 | − | 0.775443i | \(-0.282473\pi\) |
−0.987262 | + | 0.159102i | \(0.949140\pi\) | |||||||
\(360\) | −2.99575e9 | − | 4.28667e8i | −3.38413 | − | 0.484241i | ||||
\(361\) | 3.45170e8 | − | 5.97852e8i | 0.386152 | − | 0.668834i | ||||
\(362\) | 4.58913e8 | + | 2.60263e9i | 0.508453 | + | 2.88358i | ||||
\(363\) | −7.10170e8 | + | 7.37442e7i | −0.779272 | + | 0.0809197i | ||||
\(364\) | 3.38606e8 | − | 1.23242e8i | 0.367993 | − | 0.133939i | ||||
\(365\) | −8.68077e8 | + | 3.15954e8i | −0.934401 | + | 0.340094i | ||||
\(366\) | 5.37849e8 | − | 5.58504e7i | 0.573425 | − | 0.0595446i | ||||
\(367\) | −2.24001e8 | − | 1.27037e9i | −0.236547 | − | 1.34153i | −0.839331 | − | 0.543621i | \(-0.817053\pi\) |
0.602783 | − | 0.797905i | \(-0.294058\pi\) | |||||||
\(368\) | −5.38688e8 | + | 9.33034e8i | −0.563469 | + | 0.975956i | ||||
\(369\) | −1.72552e9 | − | 2.46907e8i | −1.78783 | − | 0.255824i | ||||
\(370\) | 6.92643e8 | + | 1.19969e9i | 0.710892 | + | 1.23130i | ||||
\(371\) | 1.84228e9 | − | 1.54585e9i | 1.87304 | − | 1.57166i | ||||
\(372\) | 1.20853e8 | − | 1.69776e9i | 0.121718 | − | 1.70993i | ||||
\(373\) | −3.19177e7 | + | 1.81014e8i | −0.0318457 | + | 0.180606i | −0.996582 | − | 0.0826138i | \(-0.973673\pi\) |
0.964736 | + | 0.263219i | \(0.0847843\pi\) | |||||||
\(374\) | 9.68341e8 | + | 8.12534e8i | 0.957145 | + | 0.803140i | ||||
\(375\) | 2.98009e8 | − | 3.07826e8i | 0.291823 | − | 0.301437i | ||||
\(376\) | 2.37040e9 | + | 8.62755e8i | 2.29966 | + | 0.837008i | ||||
\(377\) | −1.70371e7 | −0.0163758 | ||||||||
\(378\) | 2.75109e9 | + | 1.12353e9i | 2.61989 | + | 1.06995i | ||||
\(379\) | −1.19349e9 | −1.12611 | −0.563055 | − | 0.826420i | \(-0.690374\pi\) | ||||
−0.563055 | + | 0.826420i | \(0.690374\pi\) | |||||||
\(380\) | −1.63268e9 | − | 5.94245e8i | −1.52636 | − | 0.555550i | ||||
\(381\) | −1.95659e8 | − | 6.85580e8i | −0.181244 | − | 0.635069i | ||||
\(382\) | −2.58654e9 | − | 2.17037e9i | −2.37410 | − | 1.99210i | ||||
\(383\) | −2.31806e8 | + | 1.31463e9i | −0.210828 | + | 1.19566i | 0.677173 | + | 0.735824i | \(0.263205\pi\) |
−0.888001 | + | 0.459841i | \(0.847906\pi\) | |||||||
\(384\) | 9.58436e8 | − | 4.65978e8i | 0.863781 | − | 0.419958i | ||||
\(385\) | −9.44904e8 | + | 7.92868e8i | −0.843869 | + | 0.708090i | ||||
\(386\) | 8.21274e8 | + | 1.42249e9i | 0.726829 | + | 1.25891i | ||||
\(387\) | 9.61967e6 | − | 2.93563e7i | 0.00843668 | − | 0.0257462i | ||||
\(388\) | 2.13278e9 | − | 3.69409e9i | 1.85368 | − | 3.21068i | ||||
\(389\) | −6.79064e7 | − | 3.85116e8i | −0.0584907 | − | 0.331717i | 0.941495 | − | 0.337026i | \(-0.109421\pi\) |
−0.999986 | + | 0.00530900i | \(0.998310\pi\) | |||||||
\(390\) | 1.44042e8 | − | 3.22438e8i | 0.122960 | − | 0.275245i | ||||
\(391\) | 1.01717e9 | − | 3.70219e8i | 0.860546 | − | 0.313213i | ||||
\(392\) | −3.70639e9 | + | 1.34902e9i | −3.10778 | + | 1.13114i | ||||
\(393\) | −2.01795e8 | − | 2.78479e8i | −0.167702 | − | 0.231429i | ||||
\(394\) | 3.68085e8 | + | 2.08752e9i | 0.303188 | + | 1.71946i | ||||
\(395\) | 6.69574e8 | − | 1.15974e9i | 0.546650 | − | 0.946825i | ||||
\(396\) | 1.10158e9 | − | 6.84519e8i | 0.891421 | − | 0.553927i | ||||
\(397\) | 7.23870e8 | + | 1.25378e9i | 0.580623 | + | 1.00567i | 0.995406 | + | 0.0957476i | \(0.0305242\pi\) |
−0.414783 | + | 0.909920i | \(0.636142\pi\) | |||||||
\(398\) | −2.03598e9 | + | 1.70839e9i | −1.61876 | + | 1.35830i | ||||
\(399\) | 7.86629e8 | + | 5.32020e8i | 0.619961 | + | 0.419298i | ||||
\(400\) | 5.20201e8 | − | 2.95021e9i | 0.406407 | − | 2.30485i | ||||
\(401\) | 1.51681e9 | + | 1.27276e9i | 1.17470 | + | 0.985689i | 0.999999 | + | 0.00106694i | \(0.000339619\pi\) |
0.174699 | + | 0.984622i | \(0.444105\pi\) | |||||||
\(402\) | 1.65988e7 | + | 4.16059e6i | 0.0127434 | + | 0.00319422i | ||||
\(403\) | 1.03888e8 | + | 3.78122e7i | 0.0790677 | + | 0.0287783i | ||||
\(404\) | −2.33645e9 | −1.76287 | ||||||||
\(405\) | 1.84739e9 | − | 8.11463e8i | 1.38187 | − | 0.606983i | ||||
\(406\) | 5.64502e8 | 0.418625 | ||||||||
\(407\) | −3.10522e8 | − | 1.13021e8i | −0.228303 | − | 0.0830955i | ||||
\(408\) | 4.48547e9 | + | 1.12431e9i | 3.26962 | + | 0.819552i | ||||
\(409\) | −7.01868e8 | − | 5.88937e8i | −0.507252 | − | 0.425635i | 0.352909 | − | 0.935658i | \(-0.385193\pi\) |
−0.860161 | + | 0.510023i | \(0.829637\pi\) | |||||||
\(410\) | 1.19184e9 | − | 6.75925e9i | 0.854031 | − | 4.84345i | ||||
\(411\) | −1.39672e9 | − | 9.44645e8i | −0.992348 | − | 0.671154i | ||||
\(412\) | −4.52510e9 | + | 3.79701e9i | −3.18778 | + | 2.67486i | ||||
\(413\) | 3.24955e8 | + | 5.62839e8i | 0.226986 | + | 0.393150i | ||||
\(414\) | −5.19375e7 | − | 1.60216e9i | −0.0359732 | − | 1.10970i | ||||
\(415\) | −8.71096e8 | + | 1.50878e9i | −0.598270 | + | 1.03623i | ||||
\(416\) | −2.93323e7 | − | 1.66352e8i | −0.0199765 | − | 0.113293i | ||||
\(417\) | −5.26074e8 | − | 7.25986e8i | −0.355280 | − | 0.490289i | ||||
\(418\) | 5.62146e8 | − | 2.04604e8i | 0.376471 | − | 0.137024i | ||||
\(419\) | 2.37980e9 | − | 8.66177e8i | 1.58049 | − | 0.575251i | 0.605180 | − | 0.796089i | \(-0.293101\pi\) |
0.975311 | + | 0.220837i | \(0.0708790\pi\) | |||||||
\(420\) | −3.30655e9 | + | 7.40172e9i | −2.17772 | + | 4.87484i | ||||
\(421\) | 2.39087e8 | + | 1.35593e9i | 0.156159 | + | 0.885623i | 0.957718 | + | 0.287708i | \(0.0928932\pi\) |
−0.801559 | + | 0.597916i | \(0.795996\pi\) | |||||||
\(422\) | −6.60576e8 | + | 1.14415e9i | −0.427887 | + | 0.741122i | ||||
\(423\) | −1.64600e9 | + | 3.45568e8i | −1.05740 | + | 0.221995i | ||||
\(424\) | −2.77100e9 | − | 4.79952e9i | −1.76545 | − | 3.05786i | ||||
\(425\) | −2.30566e9 | + | 1.93468e9i | −1.45691 | + | 1.22250i | ||||
\(426\) | −2.19052e9 | + | 1.06500e9i | −1.37282 | + | 0.667444i | ||||
\(427\) | 1.40008e8 | − | 7.94023e8i | 0.0870271 | − | 0.493555i | ||||
\(428\) | 3.37685e9 | + | 2.83351e9i | 2.08189 | + | 1.74691i | ||||
\(429\) | 2.31187e7 | + | 8.10068e7i | 0.0141372 | + | 0.0495360i | ||||
\(430\) | 1.14304e8 | + | 4.16033e7i | 0.0693301 | + | 0.0252341i | ||||
\(431\) | −8.73043e8 | −0.525249 | −0.262625 | − | 0.964898i | \(-0.584588\pi\) | ||||
−0.262625 | + | 0.964898i | \(0.584588\pi\) | |||||||
\(432\) | 1.63594e9 | − | 2.59632e9i | 0.976278 | − | 1.54941i | ||||
\(433\) | −2.12507e8 | −0.125796 | −0.0628979 | − | 0.998020i | \(-0.520034\pi\) | ||||
−0.0628979 | + | 0.998020i | \(0.520034\pi\) | |||||||
\(434\) | −3.44220e9 | − | 1.25286e9i | −2.02126 | − | 0.735677i | ||||
\(435\) | 2.66603e8 | − | 2.75386e8i | 0.155293 | − | 0.160409i | ||||
\(436\) | −1.18732e9 | − | 9.96276e8i | −0.686062 | − | 0.575674i | ||||
\(437\) | 8.89541e7 | − | 5.04484e8i | 0.0509895 | − | 0.289176i | ||||
\(438\) | 1.48427e8 | − | 2.08514e9i | 0.0844023 | − | 1.18570i | ||||
\(439\) | 1.67587e9 | − | 1.40623e9i | 0.945400 | − | 0.793285i | −0.0331169 | − | 0.999451i | \(-0.510543\pi\) |
0.978517 | + | 0.206167i | \(0.0660989\pi\) | |||||||
\(440\) | 1.42125e9 | + | 2.46167e9i | 0.795399 | + | 1.37767i | ||||
\(441\) | 1.62426e9 | − | 2.06827e9i | 0.901819 | − | 1.14835i | ||||
\(442\) | −2.69812e8 | + | 4.67328e8i | −0.148622 | + | 0.257421i | ||||
\(443\) | −1.24614e8 | − | 7.06719e8i | −0.0681009 | − | 0.386219i | −0.999739 | − | 0.0228326i | \(-0.992732\pi\) |
0.931638 | − | 0.363387i | \(-0.118380\pi\) | |||||||
\(444\) | −2.16017e9 | + | 2.24313e8i | −1.17125 | + | 0.121622i | ||||
\(445\) | −7.81944e8 | + | 2.84604e8i | −0.420645 | + | 0.153102i | ||||
\(446\) | 2.50785e8 | − | 9.12784e7i | 0.133854 | − | 0.0487188i | ||||
\(447\) | −1.65198e8 | + | 1.71542e7i | −0.0874841 | + | 0.00908437i | ||||
\(448\) | 2.26172e7 | + | 1.28269e8i | 0.0118841 | + | 0.0673980i | ||||
\(449\) | −1.09974e8 | + | 1.90481e8i | −0.0573361 | + | 0.0993090i | −0.893269 | − | 0.449523i | \(-0.851594\pi\) |
0.835933 | + | 0.548832i | \(0.184927\pi\) | |||||||
\(450\) | 1.65938e9 | + | 4.13686e9i | 0.858424 | + | 2.14007i | ||||
\(451\) | 8.18622e8 | + | 1.41789e9i | 0.420209 | + | 0.727823i | ||||
\(452\) | −1.99477e9 | + | 1.67381e9i | −1.01604 | + | 0.852555i | ||||
\(453\) | 2.42020e8 | − | 3.39995e9i | 0.122323 | − | 1.71842i | ||||
\(454\) | −6.22782e8 | + | 3.53197e9i | −0.312350 | + | 1.77142i | ||||
\(455\) | −4.03371e8 | − | 3.38468e8i | −0.200754 | − | 0.168453i | ||||
\(456\) | 1.52216e9 | − | 1.57231e9i | 0.751769 | − | 0.776534i | ||||
\(457\) | 1.72870e9 | + | 6.29196e8i | 0.847253 | + | 0.308375i | 0.728920 | − | 0.684599i | \(-0.240023\pi\) |
0.118333 | + | 0.992974i | \(0.462245\pi\) | |||||||
\(458\) | 7.01244e9 | 3.41067 | ||||||||
\(459\) | −2.93584e9 | + | 9.41752e8i | −1.41706 | + | 0.454561i | ||||
\(460\) | 4.37298e9 | 2.09472 | ||||||||
\(461\) | 8.28667e8 | + | 3.01610e8i | 0.393937 | + | 0.143381i | 0.531391 | − | 0.847127i | \(-0.321670\pi\) |
−0.137454 | + | 0.990508i | \(0.543892\pi\) | |||||||
\(462\) | −7.66008e8 | − | 2.68405e9i | −0.361398 | − | 1.26632i | ||||
\(463\) | −9.79961e8 | − | 8.22285e8i | −0.458855 | − | 0.385025i | 0.383855 | − | 0.923394i | \(-0.374596\pi\) |
−0.842709 | + | 0.538369i | \(0.819041\pi\) | |||||||
\(464\) | 1.01227e8 | − | 5.74086e8i | 0.0470417 | − | 0.266787i | ||||
\(465\) | −2.23687e9 | + | 1.08754e9i | −1.03171 | + | 0.501601i | ||||
\(466\) | −3.11359e9 | + | 2.61261e9i | −1.42531 | + | 1.19598i | ||||
\(467\) | 6.10000e8 | + | 1.05655e9i | 0.277154 | + | 0.480044i | 0.970676 | − | 0.240391i | \(-0.0772755\pi\) |
−0.693523 | + | 0.720435i | \(0.743942\pi\) | |||||||
\(468\) | 3.69434e8 | + | 4.12368e8i | 0.166601 | + | 0.185962i | ||||
\(469\) | 1.27576e7 | − | 2.20969e7i | 0.00571038 | − | 0.00989068i | ||||
\(470\) | −1.14999e9 | − | 6.52190e9i | −0.510917 | − | 2.89756i | ||||
\(471\) | −5.55415e8 | + | 1.24330e9i | −0.244931 | + | 0.548279i | ||||
\(472\) | 1.40736e9 | − | 5.12237e8i | 0.616039 | − | 0.224220i | ||||
\(473\) | −2.72664e7 | + | 9.92416e6i | −0.0118472 | + | 0.00431201i | ||||
\(474\) | 1.77811e9 | + | 2.45381e9i | 0.766893 | + | 1.05832i | ||||
\(475\) | 2.47343e8 | + | 1.40275e9i | 0.105894 | + | 0.600556i | ||||
\(476\) | 6.19366e9 | − | 1.07277e10i | 2.63223 | − | 4.55915i | ||||
\(477\) | 3.25824e9 | + | 1.74290e9i | 1.37458 | + | 0.735291i | ||||
\(478\) | −1.43201e9 | − | 2.48032e9i | −0.599722 | − | 1.03875i | ||||
\(479\) | 9.25925e8 | − | 7.76943e8i | 0.384947 | − | 0.323009i | −0.429694 | − | 0.902975i | \(-0.641378\pi\) |
0.814641 | + | 0.579966i | \(0.196934\pi\) | |||||||
\(480\) | 3.14789e9 | + | 2.12901e9i | 1.29920 | + | 0.878686i | ||||
\(481\) | 2.44959e7 | − | 1.38923e8i | 0.0100366 | − | 0.0569202i | ||||
\(482\) | −3.35607e9 | − | 2.81607e9i | −1.36510 | − | 1.14546i | ||||
\(483\) | −2.31843e9 | − | 5.81130e8i | −0.936223 | − | 0.234671i | ||||
\(484\) | 4.14172e9 | + | 1.50746e9i | 1.66044 | + | 0.604349i | ||||
\(485\) | −6.23331e9 | −2.48097 | ||||||||
\(486\) | −2.85456e7 | + | 4.56582e9i | −0.0112801 | + | 1.80423i | ||||
\(487\) | −4.27898e9 | −1.67876 | −0.839381 | − | 0.543543i | \(-0.817082\pi\) | ||||
−0.839381 | + | 0.543543i | \(0.817082\pi\) | |||||||
\(488\) | −1.74596e9 | − | 6.35477e8i | −0.680087 | − | 0.247531i | ||||
\(489\) | 1.96928e9 | + | 4.93613e8i | 0.761599 | + | 0.190900i | ||||
\(490\) | 7.93244e9 | + | 6.65610e9i | 3.04593 | + | 2.55584i | ||||
\(491\) | 4.96082e8 | − | 2.81342e9i | 0.189133 | − | 1.07263i | −0.731395 | − | 0.681954i | \(-0.761131\pi\) |
0.920529 | − | 0.390675i | \(-0.127758\pi\) | |||||||
\(492\) | 8.91316e9 | + | 6.02823e9i | 3.37407 | + | 2.28198i | ||||
\(493\) | −4.48662e8 | + | 3.76472e8i | −0.168638 | + | 0.141504i | ||||
\(494\) | 1.27688e8 | + | 2.21162e8i | 0.0476547 | + | 0.0825403i | ||||
\(495\) | −1.67115e9 | − | 8.93935e8i | −0.619295 | − | 0.331274i | ||||
\(496\) | −1.89138e9 | + | 3.27597e9i | −0.695975 | + | 1.20546i | ||||
\(497\) | 6.30644e8 | + | 3.57656e9i | 0.230429 | + | 1.30683i | ||||
\(498\) | −2.31327e9 | − | 3.19233e9i | −0.839312 | − | 1.15826i | ||||
\(499\) | −9.87318e8 | + | 3.59354e8i | −0.355717 | + | 0.129471i | −0.513697 | − | 0.857972i | \(-0.671724\pi\) |
0.157979 | + | 0.987442i | \(0.449502\pi\) | |||||||
\(500\) | −2.48534e9 | + | 9.04591e8i | −0.889184 | + | 0.323636i | ||||
\(501\) | 1.49706e8 | − | 3.35116e8i | 0.0531871 | − | 0.119059i | ||||
\(502\) | −1.23141e9 | − | 6.98367e9i | −0.434450 | − | 2.46389i | ||||
\(503\) | 1.23083e9 | − | 2.13186e9i | 0.431232 | − | 0.746916i | −0.565748 | − | 0.824578i | \(-0.691412\pi\) |
0.996980 | + | 0.0776627i | \(0.0247457\pi\) | |||||||
\(504\) | −6.81335e9 | − | 7.60515e9i | −2.37057 | − | 2.64607i | ||||
\(505\) | 1.70713e9 | + | 2.95684e9i | 0.589858 | + | 1.02166i | ||||
\(506\) | −1.15340e9 | + | 9.67819e8i | −0.395780 | + | 0.332099i | ||||
\(507\) | 2.60674e9 | − | 1.26736e9i | 0.888320 | − | 0.431889i | ||||
\(508\) | −7.64250e8 | + | 4.33427e9i | −0.258650 | + | 1.46688i | ||||
\(509\) | 2.16258e9 | + | 1.81462e9i | 0.726875 | + | 0.609921i | 0.929278 | − | 0.369382i | \(-0.120430\pi\) |
−0.202403 | + | 0.979302i | \(0.564875\pi\) | |||||||
\(510\) | −3.33171e9 | − | 1.16741e10i | −1.11217 | − | 3.89698i | ||||
\(511\) | −2.92894e9 | − | 1.06605e9i | −0.971041 | − | 0.353430i | ||||
\(512\) | −6.81783e9 | −2.24492 | ||||||||
\(513\) | −3.08718e8 | + | 1.42608e9i | −0.100961 | + | 0.466373i | ||||
\(514\) | 1.29685e9 | 0.421229 | ||||||||
\(515\) | 8.11151e9 | + | 2.95235e9i | 2.61684 | + | 0.952451i | ||||
\(516\) | −1.32644e8 | + | 1.37013e8i | −0.0425023 | + | 0.0439024i | ||||
\(517\) | 1.21016e9 | + | 1.01545e9i | 0.385147 | + | 0.323177i | ||||
\(518\) | −8.11637e8 | + | 4.60302e9i | −0.256571 | + | 1.45509i | ||||
\(519\) | −2.97057e8 | + | 4.17313e9i | −0.0932727 | + | 1.31032i | ||||
\(520\) | −9.29545e8 | + | 7.79981e8i | −0.289907 | + | 0.243261i | ||||
\(521\) | −2.13068e9 | − | 3.69044e9i | −0.660063 | − | 1.14326i | −0.980599 | − | 0.196027i | \(-0.937196\pi\) |
0.320535 | − | 0.947237i | \(-0.396137\pi\) | |||||||
\(522\) | 3.22902e8 | + | 8.05000e8i | 0.0993627 | + | 0.247713i | ||||
\(523\) | 1.58485e9 | − | 2.74504e9i | 0.484431 | − | 0.839060i | −0.515409 | − | 0.856944i | \(-0.672360\pi\) |
0.999840 | + | 0.0178849i | \(0.00569324\pi\) | |||||||
\(524\) | 3.68651e8 | + | 2.09072e9i | 0.111932 | + | 0.634800i | ||||
\(525\) | 6.61045e9 | − | 6.86431e8i | 1.99376 | − | 0.207033i | ||||
\(526\) | −4.32816e9 | + | 1.57532e9i | −1.29674 | + | 0.471975i | ||||
\(527\) | 3.57137e9 | − | 1.29987e9i | 1.06291 | − | 0.386869i | ||||
\(528\) | −2.86698e9 | + | 2.97708e8i | −0.847629 | + | 0.0880180i | ||||
\(529\) | −3.67354e8 | − | 2.08337e9i | −0.107892 | − | 0.611888i | ||||
\(530\) | −7.27486e9 | + | 1.26004e10i | −2.12255 | + | 3.67637i | ||||
\(531\) | −6.16749e8 | + | 7.85347e8i | −0.178763 | + | 0.227631i | ||||
\(532\) | −2.93114e9 | − | 5.07688e9i | −0.844006 | − | 1.46186i | ||||
\(533\) | −5.35407e8 | + | 4.49260e8i | −0.153158 | + | 0.128515i | ||||
\(534\) | 1.33700e8 | − | 1.87824e9i | 0.0379959 | − | 0.533774i | ||||
\(535\) | 1.11859e9 | − | 6.34381e9i | 0.315814 | − | 1.79107i | ||||
\(536\) | −4.50423e7 | − | 3.77949e7i | −0.0126341 | − | 0.0106012i | ||||
\(537\) | −7.98743e8 | + | 8.25056e8i | −0.222586 | + | 0.229918i | ||||
\(538\) | −1.13702e10 | − | 4.13840e9i | −3.14795 | − | 1.14576i | ||||
\(539\) | −2.47013e9 | −0.679451 | ||||||||
\(540\) | −1.24465e10 | − | 4.81393e8i | −3.40149 | − | 0.131559i | ||||
\(541\) | −1.00998e9 | −0.274234 | −0.137117 | − | 0.990555i | \(-0.543784\pi\) | ||||
−0.137117 | + | 0.990555i | \(0.543784\pi\) | |||||||
\(542\) | 1.31809e9 | + | 4.79746e8i | 0.355589 | + | 0.129424i | ||||
\(543\) | 1.66157e9 | + | 5.82206e9i | 0.445369 | + | 1.56055i | ||||
\(544\) | −4.44835e9 | − | 3.73261e9i | −1.18469 | − | 0.994069i | ||||
\(545\) | −3.93300e8 | + | 2.23052e9i | −0.104073 | + | 0.590225i | ||||
\(546\) | 1.07161e9 | − | 5.20999e8i | 0.281748 | − | 0.136982i | ||||
\(547\) | 1.79764e7 | − | 1.50840e7i | 0.00469622 | − | 0.00394059i | −0.640436 | − | 0.768011i | \(-0.721247\pi\) |
0.645133 | + | 0.764071i | \(0.276802\pi\) | |||||||
\(548\) | 5.20448e9 | + | 9.01442e9i | 1.35097 | + | 2.33995i | ||||
\(549\) | 1.21239e9 | − | 2.54534e8i | 0.312708 | − | 0.0656513i | ||||
\(550\) | 2.09330e9 | − | 3.62570e9i | 0.536490 | − | 0.929227i | ||||
\(551\) | 4.81310e7 | + | 2.72964e8i | 0.0122573 | + | 0.0695145i | ||||
\(552\) | −2.24659e9 | + | 5.02898e9i | −0.568508 | + | 1.27260i | ||||
\(553\) | 4.24587e9 | − | 1.54537e9i | 1.06765 | − | 0.388593i | ||||
\(554\) | −4.42810e9 | + | 1.61170e9i | −1.10645 | + | 0.402716i | ||||
\(555\) | 1.86221e9 | + | 2.56987e9i | 0.462385 | + | 0.638094i | ||||
\(556\) | 9.61060e8 | + | 5.45044e9i | 0.237131 | + | 1.34484i | ||||
\(557\) | 5.16392e8 | − | 8.94417e8i | 0.126615 | − | 0.219304i | −0.795748 | − | 0.605628i | \(-0.792922\pi\) |
0.922363 | + | 0.386324i | \(0.126255\pi\) | |||||||
\(558\) | −1.82357e8 | − | 5.62534e9i | −0.0444328 | − | 1.37066i | ||||
\(559\) | −6.19340e6 | − | 1.07273e7i | −0.00149964 | − | 0.00259746i | ||||
\(560\) | 1.38017e10 | − | 1.15810e10i | 3.32105 | − | 2.78669i | ||||
\(561\) | 2.39884e9 | + | 1.62240e9i | 0.573629 | + | 0.387962i | ||||
\(562\) | 9.78359e8 | − | 5.54855e9i | 0.232499 | − | 1.31857i | ||||
\(563\) | −4.78029e9 | − | 4.01114e9i | −1.12895 | − | 0.947301i | −0.129928 | − | 0.991523i | \(-0.541475\pi\) |
−0.999022 | + | 0.0442223i | \(0.985919\pi\) | |||||||
\(564\) | 1.00709e10 | + | 2.52434e9i | 2.36370 | + | 0.592476i | ||||
\(565\) | 3.57575e9 | + | 1.30147e9i | 0.834060 | + | 0.303573i | ||||
\(566\) | 8.36387e9 | 1.93887 | ||||||||
\(567\) | 6.53480e9 | + | 1.90925e9i | 1.50554 | + | 0.439867i | ||||
\(568\) | 8.36912e9 | 1.91629 | ||||||||
\(569\) | −1.73115e9 | − | 6.30087e8i | −0.393950 | − | 0.143386i | 0.137447 | − | 0.990509i | \(-0.456110\pi\) |
−0.531397 | + | 0.847123i | \(0.678333\pi\) | |||||||
\(570\) | −5.57294e9 | − | 1.39689e9i | −1.26044 | − | 0.315937i | ||||
\(571\) | 4.20704e9 | + | 3.53013e9i | 0.945694 | + | 0.793532i | 0.978567 | − | 0.205928i | \(-0.0660212\pi\) |
−0.0328729 | + | 0.999460i | \(0.510466\pi\) | |||||||
\(572\) | 9.03023e7 | − | 5.12130e8i | 0.0201750 | − | 0.114418i | ||||
\(573\) | −6.40756e9 | − | 4.33362e9i | −1.42282 | − | 0.962298i | ||||
\(574\) | 1.77400e10 | − | 1.48856e10i | 3.91527 | − | 3.28530i | ||||
\(575\) | −1.79252e9 | − | 3.10473e9i | −0.393211 | − | 0.681062i | ||||
\(576\) | −1.69978e8 | + | 1.05624e8i | −0.0370607 | + | 0.0230294i | ||||
\(577\) | −2.68343e9 | + | 4.64783e9i | −0.581533 | + | 1.00724i | 0.413765 | + | 0.910384i | \(0.364214\pi\) |
−0.995298 | + | 0.0968611i | \(0.969120\pi\) | |||||||
\(578\) | 1.76678e9 | + | 1.00199e10i | 0.380570 | + | 2.15832i | ||||
\(579\) | 2.20804e9 | + | 3.04711e9i | 0.472751 | + | 0.652400i | ||||
\(580\) | −2.22342e9 | + | 8.09260e8i | −0.473178 | + | 0.172223i | ||||
\(581\) | −5.52375e9 | + | 2.01048e9i | −1.16847 | + | 0.425288i | ||||
\(582\) | 5.75320e9 | − | 1.28785e10i | 1.20970 | − | 2.70792i | ||||
\(583\) | −6.02686e8 | − | 3.41800e9i | −0.125965 | − | 0.714385i | ||||
\(584\) | −3.59137e9 | + | 6.22044e9i | −0.746132 | + | 1.29234i | ||||
\(585\) | 2.51935e8 | − | 7.68828e8i | 0.0520286 | − | 0.158776i | ||||
\(586\) | 3.81561e9 | + | 6.60883e9i | 0.783290 | + | 1.35670i | ||||
\(587\) | −9.01725e8 | + | 7.56637e8i | −0.184010 | + | 0.154402i | −0.730140 | − | 0.683298i | \(-0.760545\pi\) |
0.546130 | + | 0.837701i | \(0.316101\pi\) | |||||||
\(588\) | −1.46001e10 | + | 7.09834e9i | −2.96165 | + | 1.43991i | ||||
\(589\) | 3.12326e8 | − | 1.77129e9i | 0.0629803 | − | 0.357179i | ||||
\(590\) | −3.01204e9 | − | 2.52740e9i | −0.603780 | − | 0.506631i | ||||
\(591\) | 1.33271e9 | + | 4.66976e9i | 0.265571 | + | 0.930546i | ||||
\(592\) | 4.53563e9 | + | 1.65083e9i | 0.898487 | + | 0.327022i | ||||
\(593\) | −3.67640e9 | −0.723989 | −0.361994 | − | 0.932180i | \(-0.617904\pi\) | ||||
−0.361994 | + | 0.932180i | \(0.617904\pi\) | |||||||
\(594\) | 3.38938e9 | − | 2.62766e9i | 0.663541 | − | 0.514418i | ||||
\(595\) | −1.81017e10 | −3.52298 | ||||||||
\(596\) | 9.63439e8 | + | 3.50663e8i | 0.186407 | + | 0.0678466i | ||||
\(597\) | −4.23518e9 | + | 4.37470e9i | −0.814633 | + | 0.841469i | ||||
\(598\) | −4.92377e8 | − | 4.13153e8i | −0.0941550 | − | 0.0790054i | ||||
\(599\) | −7.35614e7 | + | 4.17187e8i | −0.0139848 | + | 0.0793117i | −0.991001 | − | 0.133851i | \(-0.957265\pi\) |
0.977017 | + | 0.213163i | \(0.0683766\pi\) | |||||||
\(600\) | 1.08745e9 | − | 1.52767e10i | 0.205531 | − | 2.88735i | ||||
\(601\) | −2.58126e9 | + | 2.16593e9i | −0.485032 | + | 0.406990i | −0.852242 | − | 0.523148i | \(-0.824758\pi\) |
0.367210 | + | 0.930138i | \(0.380313\pi\) | |||||||
\(602\) | 2.05210e8 | + | 3.55434e8i | 0.0383363 | + | 0.0664004i | ||||
\(603\) | 3.88084e7 | + | 5.55317e6i | 0.00720801 | + | 0.00103141i | ||||
\(604\) | −1.05207e10 | + | 1.82224e10i | −1.94274 | + | 3.36493i | ||||
\(605\) | −1.11842e9 | − | 6.34290e9i | −0.205335 | − | 1.16451i | ||||
\(606\) | −7.68472e9 | + | 7.97983e8i | −1.40273 | + | 0.145660i | ||||
\(607\) | 8.88217e9 | − | 3.23284e9i | 1.61198 | − | 0.586711i | 0.630146 | − | 0.776476i | \(-0.282995\pi\) |
0.981830 | + | 0.189765i | \(0.0607726\pi\) | |||||||
\(608\) | −2.58238e9 | + | 9.39909e8i | −0.465969 | + | 0.169599i | ||||
\(609\) | 1.28634e9 | − | 1.33574e8i | 0.230779 | − | 0.0239641i | ||||
\(610\) | 8.47043e8 | + | 4.80382e9i | 0.151095 | + | 0.856904i | ||||
\(611\) | −3.37191e8 | + | 5.84032e8i | −0.0598042 | + | 0.103584i | ||||
\(612\) | 1.88410e10 | + | 2.69599e9i | 3.32256 | + | 0.475432i | ||||
\(613\) | −1.32845e9 | − | 2.30095e9i | −0.232935 | − | 0.403455i | 0.725736 | − | 0.687974i | \(-0.241500\pi\) |
−0.958670 | + | 0.284519i | \(0.908166\pi\) | |||||||
\(614\) | −5.63757e9 | + | 4.73048e9i | −0.982885 | + | 0.824739i | ||||
\(615\) | 1.11647e9 | − | 1.56844e10i | 0.193546 | − | 2.71898i | ||||
\(616\) | −1.66541e9 | + | 9.44503e9i | −0.287071 | + | 1.62806i | ||||
\(617\) | 7.45544e9 | + | 6.25586e9i | 1.27784 | + | 1.07223i | 0.993538 | + | 0.113496i | \(0.0362050\pi\) |
0.284298 | + | 0.958736i | \(0.408239\pi\) | |||||||
\(618\) | −1.35865e10 | + | 1.40341e10i | −2.31552 | + | 2.39180i | ||||
\(619\) | −8.35258e9 | − | 3.04009e9i | −1.41548 | − | 0.515192i | −0.482746 | − | 0.875760i | \(-0.660361\pi\) |
−0.932733 | + | 0.360568i | \(0.882583\pi\) | |||||||
\(620\) | 1.53540e10 | 2.58732 | ||||||||
\(621\) | −4.97457e8 | − | 3.63858e9i | −0.0833557 | − | 0.609693i | ||||
\(622\) | 1.64106e10 | 2.73438 | ||||||||
\(623\) | −2.63832e9 | − | 9.60271e8i | −0.437139 | − | 0.159106i | ||||
\(624\) | −3.37684e8 | − | 1.18322e9i | −0.0556370 | − | 0.194949i | ||||
\(625\) | −3.01456e9 | − | 2.52952e9i | −0.493906 | − | 0.414436i | ||||
\(626\) | 2.99069e9 | − | 1.69611e10i | 0.487261 | − | 2.76339i | ||||
\(627\) | 1.23256e9 | − | 5.99251e8i | 0.199696 | − | 0.0970895i | ||||
\(628\) | 6.43938e9 | − | 5.40328e9i | 1.03749 | − | 0.870561i | ||||
\(629\) | −2.42472e9 | − | 4.19974e9i | −0.388494 | − | 0.672892i | ||||
\(630\) | −8.34751e9 | + | 2.54740e10i | −1.33004 | + | 4.05888i | ||||
\(631\) | 1.62452e8 | − | 2.81375e8i | 0.0257408 | − | 0.0445844i | −0.852868 | − | 0.522127i | \(-0.825139\pi\) |
0.878609 | + | 0.477542i | \(0.158472\pi\) | |||||||
\(632\) | −1.80808e9 | − | 1.02541e10i | −0.284910 | − | 1.61580i | ||||
\(633\) | −1.23453e9 | + | 2.76350e9i | −0.193459 | + | 0.433059i | ||||
\(634\) | −7.50171e9 | + | 2.73040e9i | −1.16909 | + | 0.425514i | ||||
\(635\) | 6.04355e9 | − | 2.19967e9i | 0.936665 | − | 0.340918i | ||||
\(636\) | −1.33845e10 | − | 1.84707e10i | −2.06301 | − | 2.84697i | ||||
\(637\) | −1.83107e8 | − | 1.03845e9i | −0.0280684 | − | 0.159184i | ||||
\(638\) | 4.07338e8 | − | 7.05531e8i | 0.0620988 | − | 0.107558i | ||||
\(639\) | −4.73956e9 | + | 2.94515e9i | −0.718596 | + | 0.446534i | ||||
\(640\) | 4.80678e9 | + | 8.32558e9i | 0.724810 | + | 1.25541i | ||||
\(641\) | 1.86001e9 | − | 1.56073e9i | 0.278940 | − | 0.234059i | −0.492574 | − | 0.870270i | \(-0.663944\pi\) |
0.771514 | + | 0.636212i | \(0.219500\pi\) | |||||||
\(642\) | 1.20744e10 | + | 8.16628e9i | 1.80092 | + | 1.21801i | ||||
\(643\) | −6.75910e8 | + | 3.83328e9i | −0.100265 | + | 0.568633i | 0.892741 | + | 0.450570i | \(0.148779\pi\) |
−0.993006 | + | 0.118062i | \(0.962332\pi\) | |||||||
\(644\) | 1.13027e10 | + | 9.48413e9i | 1.66757 | + | 1.39926i | ||||
\(645\) | 2.70311e8 | + | 6.77551e7i | 0.0396647 | + | 0.00994221i | ||||
\(646\) | 8.24963e9 | + | 3.00262e9i | 1.20398 | + | 0.438214i | ||||
\(647\) | 1.67552e9 | 0.243212 | 0.121606 | − | 0.992578i | \(-0.461196\pi\) | ||||
0.121606 | + | 0.992578i | \(0.461196\pi\) | |||||||
\(648\) | 6.94789e9 | − | 1.40663e10i | 1.00309 | − | 2.03080i | ||||
\(649\) | 9.37935e8 | 0.134684 | ||||||||
\(650\) | 1.67944e9 | + | 6.11265e8i | 0.239865 | + | 0.0873037i | ||||
\(651\) | −8.14024e9 | − | 2.04040e9i | −1.15639 | − | 0.289856i | ||||
\(652\) | −9.60057e9 | − | 8.05584e9i | −1.35653 | − | 1.13827i | ||||
\(653\) | 2.93308e8 | − | 1.66343e9i | 0.0412218 | − | 0.233781i | −0.957235 | − | 0.289311i | \(-0.906574\pi\) |
0.998457 | + | 0.0555303i | \(0.0176849\pi\) | |||||||
\(654\) | −4.24542e9 | − | 2.87130e9i | −0.593470 | − | 0.401381i | ||||
\(655\) | 2.37651e9 | − | 1.99413e9i | 0.330442 | − | 0.277274i | ||||
\(656\) | −1.19572e10 | − | 2.07104e10i | −1.65373 | − | 2.86435i | ||||
\(657\) | −1.55167e8 | − | 4.78656e9i | −0.0213461 | − | 0.658483i | ||||
\(658\) | 1.11724e10 | − | 1.93511e10i | 1.52881 | − | 2.64798i | ||||
\(659\) | 5.05095e8 | + | 2.86453e9i | 0.0687502 | + | 0.389902i | 0.999694 | + | 0.0247391i | \(0.00787549\pi\) |
−0.930944 | + | 0.365163i | \(0.881013\pi\) | |||||||
\(660\) | 6.86490e9 | + | 9.47362e9i | 0.929460 | + | 1.28266i | ||||
\(661\) | −1.25534e9 | + | 4.56908e8i | −0.169067 | + | 0.0615352i | −0.425167 | − | 0.905115i | \(-0.639785\pi\) |
0.256100 | + | 0.966650i | \(0.417562\pi\) | |||||||
\(662\) | 4.11778e9 | − | 1.49875e9i | 0.551646 | − | 0.200783i | ||||
\(663\) | −5.04244e8 | + | 1.12875e9i | −0.0671960 | + | 0.150418i | ||||
\(664\) | 2.35225e9 | + | 1.33403e10i | 0.311814 | + | 1.76839i | ||||
\(665\) | −4.28329e9 | + | 7.41888e9i | −0.564810 | + | 0.978279i | ||||
\(666\) | −7.02833e9 | + | 1.47556e9i | −0.921919 | + | 0.193551i | ||||
\(667\) | −3.48809e8 | − | 6.04156e8i | −0.0455143 | − | 0.0788331i | ||||
\(668\) | −1.73566e9 | + | 1.45639e9i | −0.225293 | + | 0.189043i | ||||
\(669\) | 5.49870e8 | − | 2.67339e8i | 0.0710017 | − | 0.0345200i | ||||
\(670\) | −2.68055e7 | + | 1.52021e8i | −0.00344320 | + | 0.0195273i | ||||
\(671\) | −8.91365e8 | − | 7.47944e8i | −0.113901 | − | 0.0955741i | ||||
\(672\) | 3.51888e9 | + | 1.23300e10i | 0.447313 | + | 1.56736i | ||||
\(673\) | −2.84482e8 | − | 1.03543e8i | −0.0359751 | − | 0.0130939i | 0.323970 | − | 0.946067i | \(-0.394982\pi\) |
−0.359945 | + | 0.932974i | \(0.617205\pi\) | |||||||
\(674\) | −1.69473e10 | −2.13201 | ||||||||
\(675\) | 4.76013e9 | + | 9.03409e9i | 0.595738 | + | 1.13063i | ||||
\(676\) | −1.78927e10 | −2.22773 | ||||||||
\(677\) | −3.86470e9 | − | 1.40664e9i | −0.478691 | − | 0.174229i | 0.0913941 | − | 0.995815i | \(-0.470868\pi\) |
−0.570086 | + | 0.821585i | \(0.693090\pi\) | |||||||
\(678\) | −5.98927e9 | + | 6.18657e9i | −0.738023 | + | 0.762335i | ||||
\(679\) | −1.61111e10 | − | 1.35188e10i | −1.97506 | − | 1.65727i | ||||
\(680\) | −7.24362e9 | + | 4.10806e10i | −0.883434 | + | 5.01020i | ||||
\(681\) | −5.83400e8 | + | 8.19573e9i | −0.0707867 | + | 0.994427i | ||||
\(682\) | −4.04970e9 | + | 3.39811e9i | −0.488853 | + | 0.410196i | ||||
\(683\) | −3.84016e9 | − | 6.65135e9i | −0.461187 | − | 0.798798i | 0.537834 | − | 0.843051i | \(-0.319243\pi\) |
−0.999020 | + | 0.0442524i | \(0.985909\pi\) | |||||||
\(684\) | 5.56316e9 | − | 7.08393e9i | 0.664699 | − | 0.846405i | ||||
\(685\) | 7.60534e9 | − | 1.31728e10i | 0.904069 | − | 1.56589i | ||||
\(686\) | 1.91189e9 | + | 1.08429e10i | 0.226115 | + | 1.28236i | ||||
\(687\) | 1.59794e10 | − | 1.65930e9i | 1.88023 | − | 0.195243i | ||||
\(688\) | 3.98266e8 | − | 1.44957e8i | 0.0466245 | − | 0.0169699i | ||||
\(689\) | 1.39227e9 | − | 5.06745e8i | 0.162165 | − | 0.0590231i | ||||
\(690\) | 1.43830e10 | − | 1.49354e9i | 1.66678 | − | 0.173079i | ||||
\(691\) | 2.15612e9 | + | 1.22280e10i | 0.248600 | + | 1.40988i | 0.811982 | + | 0.583682i | \(0.198389\pi\) |
−0.563383 | + | 0.826196i | \(0.690500\pi\) | |||||||
\(692\) | 1.29132e10 | − | 2.23663e10i | 1.48136 | − | 2.56580i | ||||
\(693\) | −2.38062e9 | − | 5.93493e9i | −0.271721 | − | 0.677406i | ||||
\(694\) | 2.06588e9 | + | 3.57820e9i | 0.234610 | + | 0.406356i | ||||
\(695\) | 6.19549e9 | − | 5.19863e9i | 0.700050 | − | 0.587412i | ||||
\(696\) | 2.11608e8 | − | 2.97272e9i | 0.0237903 | − | 0.334211i | ||||
\(697\) | −4.17224e9 | + | 2.36619e10i | −0.466718 | + | 2.64689i | ||||
\(698\) | −1.74380e10 | − | 1.46322e10i | −1.94090 | − | 1.62861i | ||||
\(699\) | −6.47677e9 | + | 6.69013e9i | −0.717280 | + | 0.740909i | ||||
\(700\) | −3.85523e10 | − | 1.40319e10i | −4.24822 | − | 1.54623i | ||||
\(701\) | 9.40931e9 | 1.03168 | 0.515840 | − | 0.856685i | \(-0.327480\pi\) | ||||
0.515840 | + | 0.856685i | \(0.327480\pi\) | |||||||
\(702\) | 1.35593e9 | + | 1.23013e9i | 0.147931 | + | 0.134206i | ||||
\(703\) | −2.29499e9 | −0.249136 | ||||||||
\(704\) | 1.76634e8 | + | 6.42895e7i | 0.0190796 | + | 0.00694442i | ||||
\(705\) | −4.16372e9 | − | 1.45894e10i | −0.447528 | − | 1.56811i | ||||
\(706\) | 1.98980e9 | + | 1.66964e9i | 0.212811 | + | 0.178569i | ||||
\(707\) | −2.00041e9 | + | 1.13449e10i | −0.212888 | + | 1.20735i | ||||
\(708\) | 5.54381e9 | − | 2.69532e9i | 0.587073 | − | 0.285427i | ||||
\(709\) | 9.34783e9 | − | 7.84376e9i | 0.985029 | − | 0.826537i | 0.000188147 | − | 1.00000i | \(-0.499940\pi\) |
0.984840 | + | 0.173463i | \(0.0554957\pi\) | |||||||
\(710\) | −1.09859e10 | − | 1.90282e10i | −1.15195 | − | 1.99523i | ||||
\(711\) | 4.63244e9 | + | 5.17079e9i | 0.483355 | + | 0.539527i | ||||
\(712\) | −3.23503e9 | + | 5.60323e9i | −0.335891 | + | 0.581780i | ||||
\(713\) | 7.86090e8 | + | 4.45814e9i | 0.0812192 | + | 0.460617i | ||||
\(714\) | 1.67074e10 | − | 3.73996e10i | 1.71777 | − | 3.84524i | ||||
\(715\) | −7.14095e8 | + | 2.59909e8i | −0.0730608 | + | 0.0265920i | ||||
\(716\) | 6.66137e9 | − | 2.42454e9i | 0.678216 | − | 0.246851i | ||||
\(717\) | −3.85005e9 | − | 5.31310e9i | −0.390076 | − | 0.538308i | ||||
\(718\) | 2.21155e9 | + | 1.25423e10i | 0.222977 | + | 1.26457i | ||||
\(719\) | −3.17644e9 | + | 5.50175e9i | −0.318705 | + | 0.552014i | −0.980218 | − | 0.197920i | \(-0.936581\pi\) |
0.661513 | + | 0.749934i | \(0.269915\pi\) | |||||||
\(720\) | 2.44097e10 | + | 1.30573e10i | 2.43724 | + | 1.30373i | ||||
\(721\) | 1.45626e10 | + | 2.52231e10i | 1.44699 | + | 2.50626i | ||||
\(722\) | −1.07950e10 | + | 9.05808e9i | −1.06744 | + | 0.895686i | ||||
\(723\) | −8.31387e9 | − | 5.62291e9i | −0.818124 | − | 0.553321i | ||||
\(724\) | 6.49013e9 | − | 3.68074e10i | 0.635578 | − | 3.60454i | ||||
\(725\) | 1.48596e9 | + | 1.24687e9i | 0.144818 | + | 0.121517i | ||||
\(726\) | 1.41372e10 | + | 3.54359e9i | 1.37116 | + | 0.343689i | ||||
\(727\) | 5.50383e9 | + | 2.00323e9i | 0.531244 | + | 0.193357i | 0.593694 | − | 0.804691i | \(-0.297669\pi\) |
−0.0624496 | + | 0.998048i | \(0.519891\pi\) | |||||||
\(728\) | −4.09419e9 | −0.393286 | ||||||||
\(729\) | 1.01533e9 | + | 1.04110e10i | 0.0970644 | + | 0.995278i | ||||
\(730\) | 1.88572e10 | 1.79411 | ||||||||
\(731\) | −4.00141e8 | − | 1.45640e8i | −0.0378881 | − | 0.0137901i | ||||
\(732\) | −7.41790e9 | − | 1.85934e9i | −0.699024 | − | 0.175215i | ||||
\(733\) | 9.77686e9 | + | 8.20376e9i | 0.916928 | + | 0.769394i | 0.973424 | − | 0.229009i | \(-0.0735484\pi\) |
−0.0564962 | + | 0.998403i | \(0.517993\pi\) | |||||||
\(734\) | −4.57251e9 | + | 2.59320e10i | −0.426794 | + | 2.42047i | ||||
\(735\) | 1.96507e10 | + | 1.32904e10i | 1.82546 | + | 1.23462i | ||||
\(736\) | 5.29849e9 | − | 4.44596e9i | 0.489868 | − | 0.411048i | ||||
\(737\) | −1.84115e7 | − | 3.18897e7i | −0.00169416 | − | 0.00293437i | ||||
\(738\) | 3.13748e10 | + | 1.67831e10i | 2.87332 | + | 1.53700i | ||||
\(739\) | −6.62488e8 | + | 1.14746e9i | −0.0603841 | + | 0.104588i | −0.894637 | − | 0.446793i | \(-0.852566\pi\) |
0.834253 | + | 0.551382i | \(0.185899\pi\) | |||||||
\(740\) | −3.40199e9 | − | 1.92936e10i | −0.308618 | − | 1.75026i | ||||
\(741\) | 3.43296e8 | + | 4.73751e8i | 0.0309960 | + | 0.0427747i | ||||
\(742\) | −4.61309e10 | + | 1.67903e10i | −4.14552 | + | 1.50884i | ||||
\(743\) | −1.93765e9 | + | 7.05249e8i | −0.173307 | + | 0.0630785i | −0.427216 | − | 0.904149i | \(-0.640506\pi\) |
0.253909 | + | 0.967228i | \(0.418283\pi\) | |||||||
\(744\) | −7.88798e9 | + | 1.76572e10i | −0.702199 | + | 1.57187i | ||||
\(745\) | −2.60166e8 | − | 1.47547e9i | −0.0230517 | − | 0.130733i | ||||
\(746\) | 1.87601e9 | − | 3.24935e9i | 0.165444 | − | 0.286557i | ||||
\(747\) | −6.02666e9 | − | 6.72703e9i | −0.528998 | − | 0.590475i | ||||
\(748\) | −8.93855e9 | − | 1.54820e10i | −0.780929 | − | 1.35261i | ||||
\(749\) | 1.66497e10 | − | 1.39707e10i | 1.44783 | − | 1.21488i | ||||
\(750\) | −7.86551e9 | + | 3.82410e9i | −0.680789 | + | 0.330990i | ||||
\(751\) | 3.69089e8 | − | 2.09321e9i | 0.0317974 | − | 0.180332i | −0.964773 | − | 0.263085i | \(-0.915260\pi\) |
0.996570 | + | 0.0827528i | \(0.0263712\pi\) | |||||||
\(752\) | −1.76762e10 | − | 1.48321e10i | −1.51575 | − | 1.27186i | ||||
\(753\) | −4.45853e9 | − | 1.56224e10i | −0.380548 | − | 1.33342i | ||||
\(754\) | 3.26805e8 | + | 1.18947e8i | 0.0277644 | + | 0.0101054i | ||||
\(755\) | 3.07479e10 | 2.60017 | ||||||||
\(756\) | −3.11261e10 | − | 2.82382e10i | −2.61998 | − | 2.37690i | ||||
\(757\) | −1.23241e10 | −1.03257 | −0.516286 | − | 0.856416i | \(-0.672686\pi\) | ||||
−0.516286 | + | 0.856416i | \(0.672686\pi\) | |||||||
\(758\) | 2.28933e10 | + | 8.33249e9i | 1.90927 | + | 0.694917i | ||||
\(759\) | −2.39927e9 | + | 2.47830e9i | −0.199174 | + | 0.205735i | ||||
\(760\) | 1.51226e10 | + | 1.26894e10i | 1.24963 | + | 1.04856i | ||||
\(761\) | 2.75916e9 | − | 1.56480e10i | 0.226950 | − | 1.28710i | −0.631971 | − | 0.774992i | \(-0.717754\pi\) |
0.858922 | − | 0.512107i | \(-0.171135\pi\) | |||||||
\(762\) | −1.03335e9 | + | 1.45167e10i | −0.0846068 | + | 1.18857i | ||||
\(763\) | −5.85410e9 | + | 4.91217e9i | −0.477116 | + | 0.400348i | ||||
\(764\) | 2.38759e10 | + | 4.13542e10i | 1.93701 | + | 3.35500i | ||||
\(765\) | −1.03544e10 | − | 2.58136e10i | −0.836197 | − | 2.08465i | ||||
\(766\) | 1.36248e10 | − | 2.35988e10i | 1.09529 | − | 1.89709i | ||||
\(767\) | 6.95280e7 | + | 3.94313e8i | 0.00556386 | + | 0.0315542i | ||||
\(768\) | −2.21827e10 | + | 2.30346e9i | −1.76706 | + | 0.183491i | ||||
\(769\) | 1.73492e10 | − | 6.31460e9i | 1.37574 | − | 0.500730i | 0.454859 | − | 0.890563i | \(-0.349690\pi\) |
0.920885 | + | 0.389833i | \(0.127467\pi\) | |||||||
\(770\) | 2.36605e10 | − | 8.61173e9i | 1.86770 | − | 0.679787i | ||||
\(771\) | 2.95515e9 | − | 3.06863e8i | 0.232214 | − | 0.0241132i | ||||
\(772\) | −4.03377e9 | − | 2.28766e10i | −0.315537 | − | 1.78950i | ||||
\(773\) | 1.80861e9 | − | 3.13260e9i | 0.140837 | − | 0.243937i | −0.786975 | − | 0.616985i | \(-0.788354\pi\) |
0.927812 | + | 0.373048i | \(0.121687\pi\) | |||||||
\(774\) | −3.89478e8 | + | 4.95948e8i | −0.0301918 | + | 0.0384452i | ||||
\(775\) | −6.29370e9 | − | 1.09010e10i | −0.485680 | − | 0.841222i | ||||
\(776\) | −3.71271e10 | + | 3.11533e10i | −2.85216 | + | 2.39325i | ||||
\(777\) | −7.60313e8 | + | 1.06810e10i | −0.0581458 | + | 0.816845i | ||||
\(778\) | −1.38617e9 | + | 7.86135e9i | −0.105533 | + | 0.598506i | ||||
\(779\) | 8.71047e9 | + | 7.30895e9i | 0.660177 | + | 0.553954i | ||||
\(780\) | −3.47387e9 | + | 3.58831e9i | −0.262110 | + | 0.270744i | ||||
\(781\) | 4.92515e9 | + | 1.79261e9i | 0.369948 | + | 0.134650i | ||||
\(782\) | −2.20959e10 | −1.65230 | ||||||||
\(783\) | 9.26282e8 | + | 1.75796e9i | 0.0689568 | + | 0.130871i | ||||
\(784\) | 3.60798e10 | 2.67398 | ||||||||
\(785\) | −1.15430e10 | − | 4.20130e9i | −0.851675 | − | 0.309984i | ||||
\(786\) | 1.92658e9 | + | 6.75061e9i | 0.141517 | + | 0.495866i | ||||
\(787\) | 3.22027e9 | + | 2.70212e9i | 0.235494 | + | 0.197603i | 0.752896 | − | 0.658139i | \(-0.228656\pi\) |
−0.517402 | + | 0.855743i | \(0.673101\pi\) | |||||||
\(788\) | 5.20561e9 | − | 2.95225e10i | 0.378992 | − | 2.14937i | ||||
\(789\) | −9.48990e9 | + | 4.61385e9i | −0.687847 | + | 0.334421i | ||||
\(790\) | −2.09406e10 | + | 1.75712e10i | −1.51110 | + | 1.26796i | ||||
\(791\) | 6.41953e9 | + | 1.11189e10i | 0.461196 | + | 0.798815i | ||||
\(792\) | −1.44216e10 | + | 3.02772e9i | −1.03151 | + | 0.216560i | ||||
\(793\) | 2.48364e8 | − | 4.30179e8i | 0.0176861 | − | 0.0306332i | ||||
\(794\) | −5.13176e9 | − | 2.91037e10i | −0.363827 | − | 2.06336i | ||||
\(795\) | −1.35958e10 | + | 3.04342e10i | −0.959664 | + | 2.14821i | ||||
\(796\) | 3.53207e10 | − | 1.28557e10i | 2.48218 | − | 0.903440i | ||||
\(797\) | −1.79811e10 | + | 6.54458e9i | −1.25809 | + | 0.457907i | −0.883128 | − | 0.469133i | \(-0.844567\pi\) |
−0.374962 | + | 0.927040i | \(0.622344\pi\) | |||||||
\(798\) | −1.13746e10 | − | 1.56971e10i | −0.792370 | − | 1.09348i | ||||
\(799\) | 4.02573e9 | + | 2.28311e10i | 0.279210 | + | 1.58348i | ||||
\(800\) | −9.61617e9 | + | 1.66557e10i | −0.664029 | + | 1.15013i | ||||
\(801\) | −1.39771e8 | − | 4.31162e9i | −0.00960952 | − | 0.296433i | ||||
\(802\) | −2.02094e10 | − | 3.50037e10i | −1.38338 | − | 2.39609i | ||||
\(803\) | −3.44587e9 | + | 2.89142e9i | −0.234852 | + | 0.197064i | ||||
\(804\) | −2.00465e8 | − | 1.35580e8i | −0.0136032 | − | 0.00920027i | ||||
\(805\) | 3.74405e9 | − | 2.12336e10i | 0.252963 | − | 1.43462i | ||||
\(806\) | −1.72878e9 | − | 1.45062e9i | −0.116297 | − | 0.0975845i | ||||
\(807\) | −2.68886e10 | − | 6.73980e9i | −1.80099 | − | 0.451429i | ||||
\(808\) | 2.49460e10 | + | 9.07961e9i | 1.66365 | + | 0.605518i | ||||
\(809\) | −2.65246e10 | −1.76128 | −0.880640 | − | 0.473786i | \(-0.842887\pi\) | ||||
−0.880640 | + | 0.473786i | \(0.842887\pi\) | |||||||
\(810\) | −4.11017e10 | + | 2.66761e9i | −2.71746 | + | 0.176370i | ||||
\(811\) | 2.02249e10 | 1.33142 | 0.665708 | − | 0.746212i | \(-0.268130\pi\) | ||||
0.665708 | + | 0.746212i | \(0.268130\pi\) | |||||||
\(812\) | −7.50196e9 | − | 2.73049e9i | −0.491732 | − | 0.178976i | ||||
\(813\) | 3.11707e9 | + | 7.81315e8i | 0.203437 | + | 0.0509929i | ||||
\(814\) | 5.16732e9 | + | 4.33590e9i | 0.335799 | + | 0.281769i | ||||
\(815\) | −3.18020e9 | + | 1.80358e10i | −0.205780 | + | 1.16704i | ||||
\(816\) | −3.50386e10 | − | 2.36976e10i | −2.25752 | − | 1.52682i | ||||
\(817\) | −1.54373e8 | + | 1.29534e8i | −0.00990360 | + | 0.00831011i | ||||
\(818\) | 9.35140e9 | + | 1.61971e10i | 0.597365 | + | 1.03467i | ||||
\(819\) | 2.31860e9 | − | 1.44077e9i | 0.147480 | − | 0.0916437i | ||||
\(820\) | −4.85333e10 | + | 8.40621e10i | −3.07391 | + | 5.32417i | ||||
\(821\) | 2.74996e9 | + | 1.55958e10i | 0.173430 | + | 0.983571i | 0.939940 | + | 0.341339i | \(0.110880\pi\) |
−0.766510 | + | 0.642232i | \(0.778008\pi\) | |||||||
\(822\) | 2.01966e10 | + | 2.78715e10i | 1.26832 | + | 1.75028i | ||||
\(823\) | −2.21761e10 | + | 8.07146e9i | −1.38671 | + | 0.504722i | −0.924206 | − | 0.381893i | \(-0.875272\pi\) |
−0.462507 | + | 0.886616i | \(0.653050\pi\) | |||||||
\(824\) | 6.30696e10 | − | 2.29555e10i | 3.92713 | − | 1.42936i | ||||
\(825\) | 3.91211e9 | − | 8.75725e9i | 0.242562 | − | 0.542974i | ||||
\(826\) | −2.30372e9 | − | 1.30650e10i | −0.142232 | − | 0.806640i | ||||
\(827\) | 1.55638e10 | − | 2.69573e10i | 0.956855 | − | 1.65732i | 0.226791 | − | 0.973943i | \(-0.427177\pi\) |
0.730064 | − | 0.683378i | \(-0.239490\pi\) | |||||||
\(828\) | −7.05940e9 | + | 2.15431e10i | −0.432177 | + | 1.31887i | ||||
\(829\) | 1.46067e10 | + | 2.52995e10i | 0.890451 | + | 1.54231i | 0.839335 | + | 0.543614i | \(0.182945\pi\) |
0.0511161 | + | 0.998693i | \(0.483722\pi\) | |||||||
\(830\) | 2.72430e10 | − | 2.28596e10i | 1.65380 | − | 1.38770i | ||||
\(831\) | −9.70901e9 | + | 4.72038e9i | −0.586910 | + | 0.285347i | ||||
\(832\) | −1.39340e7 | + | 7.90236e7i | −0.000838772 | + | 0.00475691i | ||||
\(833\) | −2.77689e10 | − | 2.33009e10i | −1.66457 | − | 1.39674i | ||||
\(834\) | 5.02252e9 | + | 1.75986e10i | 0.299806 | + | 1.05050i | ||||
\(835\) | 3.11128e9 | + | 1.13241e9i | 0.184942 | + | 0.0673135i | ||||
\(836\) | −8.46030e9 | −0.500800 | ||||||||
\(837\) | −1.74662e9 | − | 1.27754e10i | −0.102958 | − | 0.753069i | ||||
\(838\) | −5.16964e10 | −3.03463 | ||||||||
\(839\) | −1.53440e10 | − | 5.58475e9i | −0.896956 | − | 0.326465i | −0.147924 | − | 0.988999i | \(-0.547259\pi\) |
−0.749032 | + | 0.662534i | \(0.769481\pi\) | |||||||
\(840\) | 6.40674e10 | − | 6.61780e10i | 3.72958 | − | 3.85244i | ||||
\(841\) | −1.29250e10 | − | 1.08454e10i | −0.749282 | − | 0.628722i | ||||
\(842\) | 4.88046e9 | − | 2.76784e10i | 0.281753 | − | 1.59790i | ||||
\(843\) | 9.16491e8 | − | 1.28751e10i | 0.0526904 | − | 0.740206i | ||||
\(844\) | 1.43130e10 | − | 1.20100e10i | 0.819466 | − | 0.687614i | ||||
\(845\) | 1.30734e10 | + | 2.26438e10i | 0.745401 | + | 1.29107i | ||||
\(846\) | 3.39860e10 | + | 4.86313e9i | 1.92976 | + | 0.276134i | ||||
\(847\) | 1.08657e10 | − | 1.88200e10i | 0.614422 | − | 1.06421i | ||||
\(848\) | 8.80312e9 | + | 4.99250e10i | 0.495737 | + | 2.81146i | ||||
\(849\) | 1.90589e10 | − | 1.97908e9i | 1.06886 | − | 0.110991i | ||||
\(850\) | 5.77341e10 | − | 2.10135e10i | 3.22453 | − | 1.17363i | ||||
\(851\) | 5.42788e9 | − | 1.97559e9i | 0.301909 | − | 0.109886i | ||||
\(852\) | 3.42622e10 | − | 3.55780e9i | 1.89792 | − | 0.197080i | ||||
\(853\) | −1.89290e9 | − | 1.07351e10i | −0.104425 | − | 0.592225i | −0.991448 | − | 0.130500i | \(-0.958342\pi\) |
0.887023 | − | 0.461725i | \(-0.152769\pi\) | |||||||
\(854\) | −8.22919e9 | + | 1.42534e10i | −0.452121 | + | 0.783097i | ||||
\(855\) | −1.30297e10 | − | 1.86444e9i | −0.712938 | − | 0.102016i | ||||
\(856\) | −2.50430e10 | − | 4.33758e10i | −1.36467 | − | 2.36368i | ||||
\(857\) | −1.30567e10 | + | 1.09559e10i | −0.708599 | + | 0.594585i | −0.924206 | − | 0.381895i | \(-0.875271\pi\) |
0.215607 | + | 0.976480i | \(0.430827\pi\) | |||||||
\(858\) | 1.22099e8 | − | 1.71527e9i | 0.00659942 | − | 0.0927101i | ||||
\(859\) | −7.13356e8 | + | 4.04564e9i | −0.0383999 | + | 0.217777i | −0.997969 | − | 0.0636951i | \(-0.979711\pi\) |
0.959569 | + | 0.281472i | \(0.0908226\pi\) | |||||||
\(860\) | −1.31781e9 | − | 1.10577e9i | −0.0706493 | − | 0.0592818i | ||||
\(861\) | 3.69021e10 | − | 3.81177e10i | 1.97033 | − | 2.03524i | ||||
\(862\) | 1.67466e10 | + | 6.09527e9i | 0.890536 | + | 0.324129i | ||||
\(863\) | −7.13877e9 | −0.378081 | −0.189041 | − | 0.981969i | \(-0.560538\pi\) | ||||
−0.189041 | + | 0.981969i | \(0.560538\pi\) | |||||||
\(864\) | −1.55701e10 | + | 1.20709e10i | −0.821284 | + | 0.636710i | ||||
\(865\) | −3.77402e10 | −1.98266 | ||||||||
\(866\) | 4.07629e9 | + | 1.48365e9i | 0.213281 | + | 0.0776279i | ||||
\(867\) | 6.39691e9 | + | 2.24144e10i | 0.333352 | + | 1.16805i | ||||
\(868\) | 3.96850e10 | + | 3.32997e10i | 2.05972 | + | 1.72831i | ||||
\(869\) | 1.13232e9 | − | 6.42173e9i | 0.0585331 | − | 0.331958i | ||||
\(870\) | −7.03660e9 | + | 3.42109e9i | −0.362281 | + | 0.176136i | ||||
\(871\) | 1.20418e7 | − | 1.01043e7i | 0.000617486 | − | 0.000518132i | ||||
\(872\) | 8.80525e9 | + | 1.52511e10i | 0.449712 | + | 0.778924i | ||||
\(873\) | 1.00626e10 | − | 3.07078e10i | 0.511868 | − | 1.56207i | ||||
\(874\) | −5.22843e9 | + | 9.05590e9i | −0.264899 | + | 0.458819i | ||||
\(875\) | 2.26446e9 | + | 1.28424e10i | 0.114271 | + | 0.648064i | ||||
\(876\) | −1.20583e10 | + | 2.69925e10i | −0.606069 | + | 1.35668i | ||||
\(877\) | −1.47677e9 | + | 5.37502e8i | −0.0739291 | + | 0.0269080i | −0.378720 | − | 0.925511i | \(-0.623636\pi\) |
0.304791 | + | 0.952419i | \(0.401413\pi\) | |||||||
\(878\) | −4.19642e10 | + | 1.52737e10i | −2.09241 | + | 0.761577i | ||||
\(879\) | 1.02585e10 | + | 1.41568e10i | 0.509474 | + | 0.703078i | ||||
\(880\) | −4.51512e9 | − | 2.56065e10i | −0.223347 | − | 1.26666i | ||||
\(881\) | −1.48020e10 | + | 2.56379e10i | −0.729299 | + | 1.26318i | 0.227880 | + | 0.973689i | \(0.426821\pi\) |
−0.957180 | + | 0.289495i | \(0.906513\pi\) | |||||||
\(882\) | −4.55962e10 | + | 2.83334e10i | −2.23763 | + | 1.39046i | ||||
\(883\) | 3.99991e8 | + | 6.92804e8i | 0.0195518 | + | 0.0338648i | 0.875636 | − | 0.482972i | \(-0.160443\pi\) |
−0.856084 | + | 0.516837i | \(0.827109\pi\) | |||||||
\(884\) | 5.84612e9 | − | 4.90548e9i | 0.284633 | − | 0.238835i | ||||
\(885\) | −7.46162e9 | − | 5.04651e9i | −0.361853 | − | 0.244731i | ||||
\(886\) | −2.54373e9 | + | 1.44262e10i | −0.122872 | + | 0.696842i | ||||
\(887\) | 1.85313e10 | + | 1.55496e10i | 0.891608 | + | 0.748148i | 0.968532 | − | 0.248889i | \(-0.0800653\pi\) |
−0.0769236 | + | 0.997037i | \(0.524510\pi\) | |||||||
\(888\) | 2.39356e10 | + | 5.99963e9i | 1.14710 | + | 0.287527i | ||||
\(889\) | 2.03913e10 | + | 7.42182e9i | 0.973393 | + | 0.354286i | ||||
\(890\) | 1.69862e10 | 0.807663 | ||||||||
\(891\) | 7.10167e9 | − | 6.78969e9i | 0.336348 | − | 0.321572i | ||||
\(892\) | −3.77433e9 | −0.178058 | ||||||||
\(893\) | 1.03098e10 | + | 3.75245e9i | 0.484473 | + | 0.176334i | ||||
\(894\) | 3.28858e9 | + | 8.24303e8i | 0.153931 | + | 0.0385839i | ||||
\(895\) | −7.93549e9 | − | 6.65866e9i | −0.369993 | − | 0.310461i | ||||
\(896\) | −5.63257e9 | + | 3.19439e10i | −0.261594 | + | 1.48358i | ||||
\(897\) | −1.21975e9 | − | 8.24951e8i | −0.0564282 | − | 0.0381641i | ||||
\(898\) | 3.43938e9 | − | 2.88598e9i | 0.158494 | − | 0.132992i | ||||
\(899\) | −1.22470e9 | − | 2.12125e9i | −0.0562175 | − | 0.0973716i | ||||
\(900\) | −2.04239e9 | − | 6.30032e10i | −0.0933876 | − | 2.88081i | ||||
\(901\) | 2.54669e10 | − | 4.41100e10i | 1.15995 | − | 2.00909i | ||||
\(902\) | −5.80348e9 | − | 3.29132e10i | −0.263309 | − | 1.49330i | ||||
\(903\) | 5.51718e8 | + | 7.61375e8i | 0.0249350 | + | 0.0344105i | ||||
\(904\) | 2.78026e10 | − | 1.01193e10i | 1.25169 | − | 0.455576i | ||||
\(905\) | −5.13228e10 | + | 1.86800e10i | −2.30166 | + | 0.837735i | ||||
\(906\) | −2.83796e10 | + | 6.35278e10i | −1.26782 | + | 2.83802i | ||||
\(907\) | −2.28138e9 | − | 1.29383e10i | −0.101525 | − | 0.575775i | −0.992552 | − | 0.121825i | \(-0.961125\pi\) |
0.891027 | − | 0.453951i | \(-0.149986\pi\) | |||||||
\(908\) | 2.53606e10 | − | 4.39258e10i | 1.12424 | − | 1.94724i | ||||
\(909\) | −1.73225e10 | + | 3.63675e9i | −0.764956 | + | 0.160598i | ||||
\(910\) | 5.37435e9 | + | 9.30864e9i | 0.236418 | + | 0.409488i | ||||
\(911\) | 3.33729e10 | − | 2.80032e10i | 1.46244 | − | 1.22714i | 0.539623 | − | 0.841907i | \(-0.318567\pi\) |
0.922821 | − | 0.385230i | \(-0.125878\pi\) | |||||||
\(912\) | −1.80033e10 | + | 8.75295e9i | −0.785906 | + | 0.382096i | ||||
\(913\) | −1.47312e9 | + | 8.35447e9i | −0.0640605 | + | 0.363305i | ||||
\(914\) | −2.87669e10 | − | 2.41383e10i | −1.24618 | − | 1.04567i | ||||
\(915\) | 3.06686e9 | + | 1.07461e10i | 0.132349 | + | 0.463743i | ||||
\(916\) | −9.31919e10 | − | 3.39191e10i | −4.00630 | − | 1.45818i | ||||
\(917\) | 1.04674e10 | 0.448276 | ||||||||
\(918\) | 6.28899e10 | + | 2.43240e9i | 2.68307 | + | 0.103773i | ||||
\(919\) | 2.66279e10 | 1.13171 | 0.565853 | − | 0.824506i | \(-0.308547\pi\) | ||||
0.565853 | + | 0.824506i | \(0.308547\pi\) | |||||||
\(920\) | −4.66899e10 | − | 1.69938e10i | −1.97681 | − | 0.719502i | ||||
\(921\) | −1.17271e10 | + | 1.21134e10i | −0.494631 | + | 0.510925i | ||||
\(922\) | −1.37897e10 | − | 1.15709e10i | −0.579422 | − | 0.486193i | ||||
\(923\) | −3.88527e8 | + | 2.20344e9i | −0.0162635 | + | 0.0922350i | ||||
\(924\) | −2.80284e9 | + | 3.93748e10i | −0.116882 | + | 1.64198i | ||||
\(925\) | −1.23036e10 | + | 1.03239e10i | −0.511136 | + | 0.428894i | ||||
\(926\) | 1.30566e10 | + | 2.26147e10i | 0.540371 | + | 0.935949i | ||||
\(927\) | −2.76391e10 | + | 3.51946e10i | −1.13958 | + | 1.45110i | ||||
\(928\) | −1.87123e9 | + | 3.24106e9i | −0.0768615 | + | 0.133128i | ||||
\(929\) | −1.31455e9 | − | 7.45516e9i | −0.0537924 | − | 0.305072i | 0.946027 | − | 0.324088i | \(-0.105058\pi\) |
−0.999819 | + | 0.0190167i | \(0.993946\pi\) | |||||||
\(930\) | 5.05002e10 | − | 5.24395e9i | 2.05875 | − | 0.213781i | ||||
\(931\) | −1.61205e10 | + | 5.86739e9i | −0.654719 | + | 0.238298i | ||||
\(932\) | 5.40151e10 | − | 1.96599e10i | 2.18555 | − | 0.795474i | ||||
\(933\) | 3.73952e10 | − | 3.88312e9i | 1.50740 | − | 0.156529i | ||||
\(934\) | −4.32449e9 | − | 2.45254e10i | −0.173669 | − | 0.984924i | ||||
\(935\) | −1.30620e10 | + | 2.26240e10i | −0.522599 | + | 0.905167i | ||||
\(936\) | −2.34192e9 | − | 5.83846e9i | −0.0933485 | − | 0.232720i | ||||
\(937\) | −1.27886e10 | − | 2.21505e10i | −0.507848 | − | 0.879619i | −0.999959 | − | 0.00908598i | \(-0.997108\pi\) |
0.492111 | − | 0.870533i | \(-0.336226\pi\) | |||||||
\(938\) | −3.98988e8 | + | 3.34790e8i | −0.0157852 | + | 0.0132453i | ||||
\(939\) | 2.80157e9 | − | 3.93571e10i | 0.110426 | − | 1.55129i | ||||
\(940\) | −1.62636e10 | + | 9.22353e10i | −0.638658 | + | 3.62201i | ||||
\(941\) | −4.80182e9 | − | 4.02920e9i | −0.187863 | − | 0.157636i | 0.544005 | − | 0.839082i | \(-0.316907\pi\) |
−0.731869 | + | 0.681446i | \(0.761352\pi\) | |||||||
\(942\) | 1.93341e10 | − | 1.99710e10i | 0.753610 | − | 0.778436i | ||||
\(943\) | −2.68929e10 | − | 9.78820e9i | −1.04435 | − | 0.380112i | ||||
\(944\) | −1.36999e10 | −0.530050 | ||||||||
\(945\) | −1.29939e10 | + | 6.00233e10i | −0.500872 | + | 2.31371i | ||||
\(946\) | 5.92308e8 | 0.0227472 | ||||||||
\(947\) | −1.45867e10 | − | 5.30913e9i | −0.558127 | − | 0.203142i | 0.0475267 | − | 0.998870i | \(-0.484866\pi\) |
−0.605654 | + | 0.795728i | \(0.707088\pi\) | |||||||
\(948\) | −1.17612e10 | − | 4.12106e10i | −0.448355 | − | 1.57101i | ||||
\(949\) | −1.47101e9 | − | 1.23432e9i | −0.0558706 | − | 0.0468810i | ||||
\(950\) | 5.04900e9 | − | 2.86343e10i | 0.191061 | − | 1.08356i | ||||
\(951\) | −1.64482e10 | + | 7.99687e9i | −0.620135 | + | 0.301501i | ||||
\(952\) | −1.07818e11 | + | 9.04700e10i | −4.05006 | + | 3.39841i | ||||
\(953\) | 6.98001e9 | + | 1.20897e10i | 0.261235 | + | 0.452472i | 0.966570 | − | 0.256402i | \(-0.0825371\pi\) |
−0.705336 | + | 0.708873i | \(0.749204\pi\) | |||||||
\(954\) | −5.03309e10 | − | 5.61801e10i | −1.87679 | − | 2.09490i | ||||
\(955\) | 3.48900e10 | − | 6.04312e10i | 1.29625 | − | 2.24517i | ||||
\(956\) | 7.03349e9 | + | 3.98889e10i | 0.260356 | + | 1.47655i | ||||
\(957\) | 7.61264e8 | − | 1.70409e9i | 0.0280765 | − | 0.0628493i | ||||
\(958\) | −2.31853e10 | + | 8.43876e9i | −0.851988 | + | 0.310098i | ||||
\(959\) | 4.82266e10 | − | 1.75530e10i | 1.76572 | − | 0.642669i | ||||
\(960\) | −1.05928e9 | − | 1.46182e9i | −0.0386422 | − | 0.0533265i | ||||
\(961\) | −2.01748e9 | − | 1.14417e10i | −0.0733292 | − | 0.415871i | ||||
\(962\) | −1.43979e9 | + | 2.49378e9i | −0.0521417 | + | 0.0903121i | ||||
\(963\) | 2.94465e10 | + | 1.57516e10i | 1.06253 | + | 0.568371i | ||||
\(964\) | 3.09791e10 | + | 5.36575e10i | 1.11378 | + | 1.92913i | ||||
\(965\) | −2.60038e10 | + | 2.18198e10i | −0.931517 | + | 0.781636i | ||||
\(966\) | 4.04147e10 | + | 2.73336e10i | 1.44251 | + | 0.975612i | ||||
\(967\) | 1.25066e9 | − | 7.09284e9i | 0.0444781 | − | 0.252248i | −0.954459 | − | 0.298342i | \(-0.903566\pi\) |
0.998937 | + | 0.0460943i | \(0.0146775\pi\) | |||||||
\(968\) | −3.83626e10 | − | 3.21901e10i | −1.35939 | − | 1.14067i | ||||
\(969\) | 1.95090e10 | + | 4.89007e9i | 0.688815 | + | 0.172656i | ||||
\(970\) | 1.19567e11 | + | 4.35187e10i | 4.20638 | + | 1.53100i | ||||
\(971\) | −2.64460e10 | −0.927028 | −0.463514 | − | 0.886090i | \(-0.653412\pi\) | ||||
−0.463514 | + | 0.886090i | \(0.653412\pi\) | |||||||
\(972\) | 2.24642e10 | − | 6.05394e10i | 0.784618 | − | 2.11449i | ||||
\(973\) | 2.72881e10 | 0.949684 | ||||||||
\(974\) | 8.20790e10 | + | 2.98743e10i | 2.84627 | + | 1.03596i | ||||
\(975\) | 3.97160e9 | + | 9.95506e8i | 0.137230 | + | 0.0343976i | ||||
\(976\) | 1.30197e10 | + | 1.09248e10i | 0.448257 | + | 0.376132i | ||||
\(977\) | 3.51271e8 | − | 1.99216e9i | 0.0120507 | − | 0.0683427i | −0.978189 | − | 0.207715i | \(-0.933397\pi\) |
0.990240 | + | 0.139372i | \(0.0445085\pi\) | |||||||
\(978\) | −3.43283e10 | − | 2.32172e10i | −1.17345 | − | 0.793641i | ||||
\(979\) | −3.10396e9 | + | 2.60453e9i | −0.105725 | + | 0.0887135i | ||||
\(980\) | −7.32227e10 | − | 1.26825e11i | −2.48516 | − | 4.30442i | ||||
\(981\) | −1.03535e10 | − | 5.53833e9i | −0.350144 | − | 0.187300i | ||||
\(982\) | −2.91581e10 | + | 5.05032e10i | −0.982581 | + | 1.70188i | ||||
\(983\) | −4.75780e9 | − | 2.69828e10i | −0.159760 | − | 0.906046i | −0.954304 | − | 0.298838i | \(-0.903401\pi\) |
0.794543 | − | 0.607207i | \(-0.207710\pi\) | |||||||
\(984\) | −7.17388e10 | − | 9.90001e10i | −2.40033 | − | 3.31248i | ||||
\(985\) | −4.11650e10 | + | 1.49829e10i | −1.37247 | + | 0.499537i | ||||
\(986\) | 1.12346e10 | − | 4.08905e9i | 0.373240 | − | 0.135848i | ||||
\(987\) | 2.08797e10 | − | 4.67393e10i | 0.691218 | − | 1.54729i | ||||
\(988\) | −6.27152e8 | − | 3.55676e9i | −0.0206882 | − | 0.117329i | ||||
\(989\) | 2.53601e8 | − | 4.39249e8i | 0.00833610 | − | 0.0144386i | ||||
\(990\) | 2.58147e10 | + | 2.88147e10i | 0.845559 | + | 0.943825i | ||||
\(991\) | 2.88754e10 | + | 5.00136e10i | 0.942474 | + | 1.63241i | 0.760731 | + | 0.649067i | \(0.224841\pi\) |
0.181743 | + | 0.983346i | \(0.441826\pi\) | |||||||
\(992\) | 1.86035e10 | − | 1.56102e10i | 0.605067 | − | 0.507712i | ||||
\(993\) | 9.02862e9 | − | 4.38959e9i | 0.292617 | − | 0.142266i | ||||
\(994\) | 1.28733e10 | − | 7.30081e10i | 0.415755 | − | 2.35786i | ||||
\(995\) | −4.20764e10 | − | 3.53063e10i | −1.35412 | − | 1.13624i | ||||
\(996\) | 1.53010e10 | + | 5.36137e10i | 0.490694 | + | 1.71936i | ||||
\(997\) | 5.32598e10 | + | 1.93850e10i | 1.70203 | + | 0.619487i | 0.996054 | − | 0.0887521i | \(-0.0282879\pi\) |
0.705973 | + | 0.708239i | \(0.250510\pi\) | |||||||
\(998\) | 2.14475e10 | 0.682998 | ||||||||
\(999\) | −1.56664e10 | + | 5.02544e9i | −0.497154 | + | 0.159476i |
(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 | 27.8.e.a.4.2 | ✓ | 120 | |
3.2 | odd | 2 | 81.8.e.a.64.19 | 120 | |||
27.7 | even | 9 | inner | 27.8.e.a.7.2 | yes | 120 | |
27.20 | odd | 18 | 81.8.e.a.19.19 | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
27.8.e.a.4.2 | ✓ | 120 | 1.1 | even | 1 | trivial | |
27.8.e.a.7.2 | yes | 120 | 27.7 | even | 9 | inner | |
81.8.e.a.19.19 | 120 | 27.20 | odd | 18 | |||
81.8.e.a.64.19 | 120 | 3.2 | odd | 2 |