Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [22,12,Mod(3,22)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(22, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([8]))
N = Newforms(chi, 12, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("22.3");
S:= CuspForms(chi, 12);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 22 = 2 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 12 \) |
Character orbit: | \([\chi]\) | \(=\) | 22.c (of order \(5\), degree \(4\), 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: | \(16.9035499723\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{5})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} - 4 x^{19} + 339028 x^{18} - 38195378 x^{17} + 220926638311 x^{16} - 35915431412664 x^{15} + \cdots + 11\!\cdots\!00 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{11}]\) |
Coefficient ring index: | \( 2^{24}\cdot 3^{4}\cdot 5\cdot 11^{8} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 9.5 | ||
Root | \(-597.108 - 433.824i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 22.9 |
Dual form | 22.12.c.a.5.5 |
$q$-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 \(\left(\mathbb{Z}/22\mathbb{Z}\right)^\times\).
\(n\) | \(13\) |
\(\chi(n)\) | \(e\left(\frac{3}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 9.88854 | − | 30.4338i | 0.218508 | − | 0.672499i | ||||
\(3\) | 598.990 | − | 435.192i | 1.42316 | − | 1.03398i | 0.431916 | − | 0.901914i | \(-0.357838\pi\) |
0.991240 | − | 0.132070i | \(-0.0421623\pi\) | |||||||
\(4\) | −828.433 | − | 601.892i | −0.404508 | − | 0.293893i | ||||
\(5\) | 2266.32 | + | 6975.01i | 0.324329 | + | 0.998182i | 0.971743 | + | 0.236043i | \(0.0758508\pi\) |
−0.647413 | + | 0.762139i | \(0.724149\pi\) | |||||||
\(6\) | −7321.40 | − | 22533.0i | −0.384381 | − | 1.18300i | ||||
\(7\) | −58786.1 | − | 42710.6i | −1.32201 | − | 0.960498i | −0.999905 | − | 0.0137942i | \(-0.995609\pi\) |
−0.322107 | − | 0.946703i | \(-0.604391\pi\) | |||||||
\(8\) | −26509.9 | + | 19260.5i | −0.286031 | + | 0.207813i | ||||
\(9\) | 114656. | − | 352874.i | 0.647235 | − | 1.99198i | ||||
\(10\) | 234687. | 0.742145 | ||||||||
\(11\) | −445684. | − | 294410.i | −0.834387 | − | 0.551179i | ||||
\(12\) | −758162. | −0.879559 | ||||||||
\(13\) | 292544. | − | 900357.i | 0.218526 | − | 0.672553i | −0.780359 | − | 0.625332i | \(-0.784964\pi\) |
0.998884 | − | 0.0472209i | \(-0.0150365\pi\) | |||||||
\(14\) | −1.88115e6 | + | 1.36674e6i | −0.934803 | + | 0.679174i | ||||
\(15\) | 4.39297e6 | + | 3.19168e6i | 1.49368 | + | 1.08522i | ||||
\(16\) | 324028. | + | 997255.i | 0.0772542 | + | 0.237764i | ||||
\(17\) | −243328. | − | 748886.i | −0.0415645 | − | 0.127922i | 0.928121 | − | 0.372279i | \(-0.121423\pi\) |
−0.969686 | + | 0.244356i | \(0.921423\pi\) | |||||||
\(18\) | −9.60552e6 | − | 6.97882e6i | −1.19818 | − | 0.870529i | ||||
\(19\) | 1.25560e7 | − | 9.12246e6i | 1.16334 | − | 0.845215i | 0.173143 | − | 0.984897i | \(-0.444608\pi\) |
0.990197 | + | 0.139681i | \(0.0446078\pi\) | |||||||
\(20\) | 2.32071e6 | − | 7.14241e6i | 0.162165 | − | 0.499091i | ||||
\(21\) | −5.37996e7 | −2.87457 | ||||||||
\(22\) | −1.33672e7 | + | 1.06526e7i | −0.552987 | + | 0.440687i | ||||
\(23\) | −1.84856e7 | −0.598866 | −0.299433 | − | 0.954117i | \(-0.596797\pi\) | ||||
−0.299433 | + | 0.954117i | \(0.596797\pi\) | |||||||
\(24\) | −7.49712e6 | + | 2.30737e7i | −0.192191 | + | 0.591502i | ||||
\(25\) | −4.01181e6 | + | 2.91475e6i | −0.0821619 | + | 0.0596941i | ||||
\(26\) | −2.45085e7 | − | 1.78064e7i | −0.404541 | − | 0.293916i | ||||
\(27\) | −4.43601e7 | − | 1.36526e8i | −0.594965 | − | 1.83112i | ||||
\(28\) | 2.29932e7 | + | 7.07657e7i | 0.252482 | + | 0.777059i | ||||
\(29\) | 5.14980e7 | + | 3.74155e7i | 0.466231 | + | 0.338737i | 0.795971 | − | 0.605335i | \(-0.206961\pi\) |
−0.329740 | + | 0.944072i | \(0.606961\pi\) | |||||||
\(30\) | 1.40575e8 | − | 1.02134e8i | 1.05619 | − | 0.767366i | ||||
\(31\) | −5.44677e7 | + | 1.67634e8i | −0.341704 | + | 1.05166i | 0.621621 | + | 0.783318i | \(0.286474\pi\) |
−0.963325 | + | 0.268338i | \(0.913526\pi\) | |||||||
\(32\) | 3.35544e7 | 0.176777 | ||||||||
\(33\) | −3.95085e8 | + | 1.76097e7i | −1.75737 | + | 0.0783296i | ||||
\(34\) | −2.51976e7 | −0.0951099 | ||||||||
\(35\) | 1.64679e8 | − | 5.06829e8i | 0.529985 | − | 1.63113i | ||||
\(36\) | −3.07377e8 | + | 2.23322e8i | −0.847242 | + | 0.615557i | ||||
\(37\) | 6.79046e8 | + | 4.93356e8i | 1.60987 | + | 1.16964i | 0.863921 | + | 0.503627i | \(0.168001\pi\) |
0.745944 | + | 0.666008i | \(0.231999\pi\) | |||||||
\(38\) | −1.53471e8 | − | 4.72335e8i | −0.314207 | − | 0.967030i | ||||
\(39\) | −2.16597e8 | − | 6.66618e8i | −0.384413 | − | 1.18310i | ||||
\(40\) | −1.94422e8 | − | 1.41256e8i | −0.300204 | − | 0.218111i | ||||
\(41\) | 5.37640e8 | − | 3.90619e8i | 0.724737 | − | 0.526553i | −0.163157 | − | 0.986600i | \(-0.552168\pi\) |
0.887894 | + | 0.460048i | \(0.152168\pi\) | |||||||
\(42\) | −5.31999e8 | + | 1.63733e9i | −0.628116 | + | 1.93314i | ||||
\(43\) | 7.01588e8 | 0.727789 | 0.363894 | − | 0.931440i | \(-0.381447\pi\) | ||||
0.363894 | + | 0.931440i | \(0.381447\pi\) | |||||||
\(44\) | 1.92017e8 | + | 5.12153e8i | 0.175529 | + | 0.468177i | ||||
\(45\) | 2.72115e9 | 2.19828 | ||||||||
\(46\) | −1.82795e8 | + | 5.62586e8i | −0.130857 | + | 0.402736i | ||||
\(47\) | −1.25094e8 | + | 9.08860e7i | −0.0795606 | + | 0.0578041i | −0.626855 | − | 0.779136i | \(-0.715658\pi\) |
0.547294 | + | 0.836940i | \(0.315658\pi\) | |||||||
\(48\) | 6.28086e8 | + | 4.56332e8i | 0.355789 | + | 0.258496i | ||||
\(49\) | 1.02058e9 | + | 3.14103e9i | 0.516142 | + | 1.58852i | ||||
\(50\) | 4.90360e7 | + | 1.50917e8i | 0.0221912 | + | 0.0682974i | ||||
\(51\) | −4.71660e8 | − | 3.42681e8i | −0.191423 | − | 0.139077i | ||||
\(52\) | −7.84271e8 | + | 5.69806e8i | −0.286054 | + | 0.207830i | ||||
\(53\) | −6.85755e8 | + | 2.11054e9i | −0.225243 | + | 0.693227i | 0.773024 | + | 0.634377i | \(0.218743\pi\) |
−0.998267 | + | 0.0588500i | \(0.981257\pi\) | |||||||
\(54\) | −4.59367e9 | −1.36143 | ||||||||
\(55\) | 1.04345e9 | − | 3.77588e9i | 0.279561 | − | 1.01163i | ||||
\(56\) | 2.38104e9 | 0.577740 | ||||||||
\(57\) | 3.55089e9 | − | 1.09285e10i | 0.781675 | − | 2.40575i | ||||
\(58\) | 1.64794e9 | − | 1.19730e9i | 0.329675 | − | 0.239523i | ||||
\(59\) | −3.20752e9 | − | 2.33040e9i | −0.584095 | − | 0.424370i | 0.256103 | − | 0.966649i | \(-0.417561\pi\) |
−0.840198 | + | 0.542280i | \(0.817561\pi\) | |||||||
\(60\) | −1.71824e9 | − | 5.28819e9i | −0.285267 | − | 0.877960i | ||||
\(61\) | −2.84546e9 | − | 8.75743e9i | −0.431359 | − | 1.32759i | −0.896772 | − | 0.442492i | \(-0.854094\pi\) |
0.465414 | − | 0.885093i | \(-0.345906\pi\) | |||||||
\(62\) | 4.56315e9 | + | 3.31532e9i | 0.632572 | + | 0.459591i | ||||
\(63\) | −2.18116e10 | + | 1.58471e10i | −2.76895 | + | 2.01176i | ||||
\(64\) | 3.31804e8 | − | 1.02119e9i | 0.0386271 | − | 0.118882i | ||||
\(65\) | 6.94300e9 | 0.742205 | ||||||||
\(66\) | −3.37089e9 | + | 1.21981e10i | −0.331324 | + | 1.19895i | ||||
\(67\) | 6.35110e9 | 0.574695 | 0.287348 | − | 0.957826i | \(-0.407226\pi\) | ||||
0.287348 | + | 0.957826i | \(0.407226\pi\) | |||||||
\(68\) | −2.49168e8 | + | 7.66860e8i | −0.0207823 | + | 0.0639612i | ||||
\(69\) | −1.10727e10 | + | 8.04476e9i | −0.852280 | + | 0.619217i | ||||
\(70\) | −1.37963e10 | − | 1.00236e10i | −0.981124 | − | 0.712828i | ||||
\(71\) | −7.48903e9 | − | 2.30489e10i | −0.492612 | − | 1.51610i | −0.820646 | − | 0.571437i | \(-0.806386\pi\) |
0.328035 | − | 0.944666i | \(-0.393614\pi\) | |||||||
\(72\) | 3.75704e9 | + | 1.15630e10i | 0.228832 | + | 0.704273i | ||||
\(73\) | 2.61885e10 | + | 1.90270e10i | 1.47854 | + | 1.07423i | 0.978022 | + | 0.208502i | \(0.0668588\pi\) |
0.500523 | + | 0.865723i | \(0.333141\pi\) | |||||||
\(74\) | 2.17295e10 | − | 1.57874e10i | 1.13835 | − | 0.827057i | ||||
\(75\) | −1.13456e9 | + | 3.49181e9i | −0.0552065 | + | 0.169908i | ||||
\(76\) | −1.58925e10 | −0.718983 | ||||||||
\(77\) | 1.36256e10 | + | 3.63426e10i | 0.573664 | + | 1.53009i | ||||
\(78\) | −2.24295e10 | −0.879630 | ||||||||
\(79\) | 4.84995e9 | − | 1.49266e10i | 0.177333 | − | 0.545774i | −0.822400 | − | 0.568910i | \(-0.807365\pi\) |
0.999732 | + | 0.0231365i | \(0.00736522\pi\) | |||||||
\(80\) | −6.22152e9 | + | 4.52020e9i | −0.212276 | + | 0.154228i | ||||
\(81\) | −3.28117e10 | − | 2.38391e10i | −1.04559 | − | 0.759665i | ||||
\(82\) | −6.57153e9 | − | 2.02251e10i | −0.195745 | − | 0.602441i | ||||
\(83\) | −8.91033e9 | − | 2.74232e10i | −0.248293 | − | 0.764167i | −0.995077 | − | 0.0991010i | \(-0.968403\pi\) |
0.746784 | − | 0.665066i | \(-0.231597\pi\) | |||||||
\(84\) | 4.45694e10 | + | 3.23815e10i | 1.16279 | + | 0.844814i | ||||
\(85\) | 4.67203e9 | − | 3.39443e9i | 0.114209 | − | 0.0829780i | ||||
\(86\) | 6.93768e9 | − | 2.13520e10i | 0.159028 | − | 0.489437i | ||||
\(87\) | 4.71297e10 | 1.01377 | ||||||||
\(88\) | 1.74855e10 | − | 7.79364e8i | 0.353203 | − | 0.0157429i | ||||
\(89\) | 3.93384e9 | 0.0746744 | 0.0373372 | − | 0.999303i | \(-0.488112\pi\) | ||||
0.0373372 | + | 0.999303i | \(0.488112\pi\) | |||||||
\(90\) | 2.69082e10 | − | 8.28149e10i | 0.480342 | − | 1.47834i | ||||
\(91\) | −5.56523e10 | + | 4.04338e10i | −0.934879 | + | 0.679229i | ||||
\(92\) | 1.53141e10 | + | 1.11263e10i | 0.242246 | + | 0.176002i | ||||
\(93\) | 4.03275e10 | + | 1.24115e11i | 0.601097 | + | 1.84999i | ||||
\(94\) | 1.52901e9 | + | 4.70581e9i | 0.0214886 | + | 0.0661350i | ||||
\(95\) | 9.20852e10 | + | 6.69038e10i | 1.22098 | + | 0.887097i | ||||
\(96\) | 2.00988e10 | − | 1.46026e10i | 0.251581 | − | 0.182784i | ||||
\(97\) | 2.82628e10 | − | 8.69839e10i | 0.334172 | − | 1.02848i | −0.632956 | − | 0.774188i | \(-0.718159\pi\) |
0.967128 | − | 0.254289i | \(-0.0818414\pi\) | |||||||
\(98\) | 1.05685e11 | 1.18106 | ||||||||
\(99\) | −1.54990e11 | + | 1.23515e11i | −1.63798 | + | 1.30534i | ||||
\(100\) | 5.07788e9 | 0.0507788 | ||||||||
\(101\) | −4.15875e10 | + | 1.27993e11i | −0.393727 | + | 1.21177i | 0.536221 | + | 0.844077i | \(0.319851\pi\) |
−0.929948 | + | 0.367690i | \(0.880149\pi\) | |||||||
\(102\) | −1.50931e10 | + | 1.09658e10i | −0.135356 | + | 0.0983420i | ||||
\(103\) | −7.04762e10 | − | 5.12039e10i | −0.599015 | − | 0.435210i | 0.246514 | − | 0.969139i | \(-0.420715\pi\) |
−0.845529 | + | 0.533930i | \(0.820715\pi\) | |||||||
\(104\) | 9.58608e9 | + | 2.95029e10i | 0.0772605 | + | 0.237783i | ||||
\(105\) | −1.21927e11 | − | 3.75253e11i | −0.932306 | − | 2.86934i | ||||
\(106\) | 5.74505e10 | + | 4.17403e10i | 0.416977 | + | 0.302951i | ||||
\(107\) | −2.06029e10 | + | 1.49689e10i | −0.142009 | + | 0.103176i | −0.656522 | − | 0.754307i | \(-0.727973\pi\) |
0.514512 | + | 0.857483i | \(0.327973\pi\) | |||||||
\(108\) | −4.54247e10 | + | 1.39803e11i | −0.297483 | + | 0.915558i | ||||
\(109\) | −1.39114e11 | −0.866016 | −0.433008 | − | 0.901390i | \(-0.642548\pi\) | ||||
−0.433008 | + | 0.901390i | \(0.642548\pi\) | |||||||
\(110\) | −1.04596e11 | − | 6.90941e10i | −0.619236 | − | 0.409054i | ||||
\(111\) | 6.21446e11 | 3.50047 | ||||||||
\(112\) | 2.35450e10 | − | 7.24641e10i | 0.126241 | − | 0.388529i | ||||
\(113\) | −2.25629e11 | + | 1.63929e11i | −1.15203 | + | 0.836998i | −0.988749 | − | 0.149582i | \(-0.952207\pi\) |
−0.163279 | + | 0.986580i | \(0.552207\pi\) | |||||||
\(114\) | −2.97484e11 | − | 2.16134e11i | −1.44706 | − | 1.05135i | ||||
\(115\) | −4.18942e10 | − | 1.28937e11i | −0.194230 | − | 0.597777i | ||||
\(116\) | −2.01426e10 | − | 6.19925e10i | −0.0890422 | − | 0.274044i | ||||
\(117\) | −2.84171e11 | − | 2.06462e11i | −1.19828 | − | 0.870600i | ||||
\(118\) | −1.02641e11 | + | 7.45728e10i | −0.413018 | + | 0.300075i | ||||
\(119\) | −1.76811e10 | + | 5.44168e10i | −0.0679204 | + | 0.209038i | ||||
\(120\) | −1.77931e11 | −0.652760 | ||||||||
\(121\) | 1.11958e11 | + | 2.62428e11i | 0.392404 | + | 0.919793i | ||||
\(122\) | −2.94659e11 | −0.987055 | ||||||||
\(123\) | 1.52047e11 | − | 4.67953e11i | 0.486968 | − | 1.49873i | ||||
\(124\) | 1.46021e11 | − | 1.06090e11i | 0.447296 | − | 0.324980i | ||||
\(125\) | 2.60289e11 | + | 1.89111e11i | 0.762872 | + | 0.554259i | ||||
\(126\) | 2.66601e11 | + | 8.20515e11i | 0.747867 | + | 2.30170i | ||||
\(127\) | 5.91925e10 | + | 1.82176e11i | 0.158981 | + | 0.489295i | 0.998543 | − | 0.0539707i | \(-0.0171878\pi\) |
−0.839561 | + | 0.543265i | \(0.817188\pi\) | |||||||
\(128\) | −2.77976e10 | − | 2.01961e10i | −0.0715077 | − | 0.0519534i | ||||
\(129\) | 4.20244e11 | − | 3.05325e11i | 1.03576 | − | 0.752522i | ||||
\(130\) | 6.86562e10 | − | 2.11302e11i | 0.162178 | − | 0.499132i | ||||
\(131\) | −8.42331e10 | −0.190762 | −0.0953808 | − | 0.995441i | \(-0.530407\pi\) | ||||
−0.0953808 | + | 0.995441i | \(0.530407\pi\) | |||||||
\(132\) | 3.37901e11 | + | 2.23210e11i | 0.733893 | + | 0.484794i | ||||
\(133\) | −1.12774e12 | −2.34978 | ||||||||
\(134\) | 6.28032e10 | − | 1.93288e11i | 0.125576 | − | 0.386482i | ||||
\(135\) | 8.51739e11 | − | 6.18824e11i | 1.63482 | − | 1.18777i | ||||
\(136\) | 2.08746e10 | + | 1.51662e10i | 0.0384727 | + | 0.0279521i | ||||
\(137\) | −9.34707e10 | − | 2.87673e11i | −0.165467 | − | 0.509256i | 0.833603 | − | 0.552364i | \(-0.186274\pi\) |
−0.999070 | + | 0.0431079i | \(0.986274\pi\) | |||||||
\(138\) | 1.35340e11 | + | 4.16534e11i | 0.230193 | + | 0.708461i | ||||
\(139\) | −5.39462e10 | − | 3.91942e10i | −0.0881819 | − | 0.0640679i | 0.542821 | − | 0.839849i | \(-0.317356\pi\) |
−0.631003 | + | 0.775781i | \(0.717356\pi\) | |||||||
\(140\) | −4.41482e11 | + | 3.20755e11i | −0.693759 | + | 0.504046i | ||||
\(141\) | −3.53771e10 | + | 1.08880e11i | −0.0534586 | + | 0.164529i | ||||
\(142\) | −7.75520e11 | −1.12722 | ||||||||
\(143\) | −3.95456e11 | + | 3.15148e11i | −0.553032 | + | 0.440723i | ||||
\(144\) | 3.89057e11 | 0.523624 | ||||||||
\(145\) | −1.44263e11 | + | 4.43995e11i | −0.186909 | + | 0.575246i | ||||
\(146\) | 8.38031e11 | − | 6.08865e11i | 1.04549 | − | 0.759592i | ||||
\(147\) | 1.97827e12 | + | 1.43729e12i | 2.37706 | + | 1.72703i | ||||
\(148\) | −2.65597e11 | − | 8.17425e11i | −0.307457 | − | 0.946255i | ||||
\(149\) | −5.78081e10 | − | 1.77915e11i | −0.0644859 | − | 0.198467i | 0.913622 | − | 0.406564i | \(-0.133273\pi\) |
−0.978108 | + | 0.208097i | \(0.933273\pi\) | |||||||
\(150\) | 9.50500e10 | + | 6.90579e10i | 0.102200 | + | 0.0742526i | ||||
\(151\) | 5.23858e11 | − | 3.80605e11i | 0.543051 | − | 0.394549i | −0.282166 | − | 0.959366i | \(-0.591053\pi\) |
0.825217 | + | 0.564816i | \(0.191053\pi\) | |||||||
\(152\) | −1.57154e11 | + | 4.83671e11i | −0.157104 | + | 0.483515i | ||||
\(153\) | −2.92162e11 | −0.281722 | ||||||||
\(154\) | 1.24078e12 | − | 5.53041e10i | 1.15433 | − | 0.0514510i | ||||
\(155\) | −1.29269e12 | −1.16057 | ||||||||
\(156\) | −2.21796e11 | + | 6.82617e11i | −0.192206 | + | 0.591550i | ||||
\(157\) | 6.99849e11 | − | 5.08470e11i | 0.585539 | − | 0.425419i | −0.255178 | − | 0.966894i | \(-0.582134\pi\) |
0.840717 | + | 0.541475i | \(0.182134\pi\) | |||||||
\(158\) | −4.06315e11 | − | 2.95205e11i | −0.328283 | − | 0.238512i | ||||
\(159\) | 5.07728e11 | + | 1.56262e12i | 0.396229 | + | 1.21947i | ||||
\(160\) | 7.60450e10 | + | 2.34043e11i | 0.0573338 | + | 0.176455i | ||||
\(161\) | 1.08669e12 | + | 7.89529e11i | 0.791707 | + | 0.575209i | ||||
\(162\) | −1.04997e12 | + | 7.62851e11i | −0.739343 | + | 0.537164i | ||||
\(163\) | 9.41021e10 | − | 2.89616e11i | 0.0640571 | − | 0.197147i | −0.913906 | − | 0.405926i | \(-0.866949\pi\) |
0.977963 | + | 0.208779i | \(0.0669489\pi\) | |||||||
\(164\) | −6.80510e11 | −0.447912 | ||||||||
\(165\) | −1.01822e12 | − | 2.71581e12i | −0.648155 | − | 1.72877i | ||||
\(166\) | −9.22702e11 | −0.568155 | ||||||||
\(167\) | −4.02248e11 | + | 1.23799e12i | −0.239637 | + | 0.737526i | 0.756836 | + | 0.653605i | \(0.226744\pi\) |
−0.996472 | + | 0.0839210i | \(0.973256\pi\) | |||||||
\(168\) | 1.42622e12 | − | 1.03621e12i | 0.822215 | − | 0.597374i | ||||
\(169\) | 7.24827e11 | + | 5.26617e11i | 0.404443 | + | 0.293845i | ||||
\(170\) | −5.71058e10 | − | 1.75754e11i | −0.0308469 | − | 0.0949370i | ||||
\(171\) | −1.77946e12 | − | 5.47663e12i | −0.930702 | − | 2.86441i | ||||
\(172\) | −5.81219e11 | − | 4.22280e11i | −0.294397 | − | 0.213892i | ||||
\(173\) | −5.79672e10 | + | 4.21156e10i | −0.0284399 | + | 0.0206628i | −0.601914 | − | 0.798561i | \(-0.705595\pi\) |
0.573474 | + | 0.819223i | \(0.305595\pi\) | |||||||
\(174\) | 4.66044e11 | − | 1.43434e12i | 0.221516 | − | 0.681758i | ||||
\(175\) | 3.60329e11 | 0.165955 | ||||||||
\(176\) | 1.49187e11 | − | 5.39858e11i | 0.0665905 | − | 0.240968i | ||||
\(177\) | −2.93544e12 | −1.27005 | ||||||||
\(178\) | 3.89000e10 | − | 1.19722e11i | 0.0163170 | − | 0.0502184i | ||||
\(179\) | −1.28033e12 | + | 9.30213e11i | −0.520751 | + | 0.378347i | −0.816887 | − | 0.576798i | \(-0.804302\pi\) |
0.296136 | + | 0.955146i | \(0.404302\pi\) | |||||||
\(180\) | −2.25429e12 | − | 1.63784e12i | −0.889223 | − | 0.646059i | ||||
\(181\) | 7.61193e11 | + | 2.34271e12i | 0.291248 | + | 0.896369i | 0.984456 | + | 0.175631i | \(0.0561966\pi\) |
−0.693208 | + | 0.720737i | \(0.743803\pi\) | |||||||
\(182\) | 6.80233e11 | + | 2.09354e12i | 0.252502 | + | 0.777122i | ||||
\(183\) | −5.51556e12 | − | 4.00729e12i | −1.98659 | − | 1.44334i | ||||
\(184\) | 4.90050e11 | − | 3.56042e11i | 0.171294 | − | 0.124452i | ||||
\(185\) | −1.90223e12 | + | 5.85445e12i | −0.645384 | + | 1.98629i | ||||
\(186\) | 4.17608e12 | 1.37546 | ||||||||
\(187\) | −1.12032e11 | + | 4.05405e11i | −0.0358272 | + | 0.129646i | ||||
\(188\) | 1.58336e11 | 0.0491711 | ||||||||
\(189\) | −3.22336e12 | + | 9.92049e12i | −0.972231 | + | 2.99222i | ||||
\(190\) | 2.94673e12 | − | 2.14092e12i | 0.863366 | − | 0.627272i | ||||
\(191\) | 3.60731e12 | + | 2.62086e12i | 1.02683 | + | 0.746038i | 0.967672 | − | 0.252210i | \(-0.0811574\pi\) |
0.0591611 | + | 0.998248i | \(0.481157\pi\) | |||||||
\(192\) | −2.45665e11 | − | 7.56081e11i | −0.0679497 | − | 0.209128i | ||||
\(193\) | −1.13652e12 | − | 3.49785e12i | −0.305500 | − | 0.940233i | −0.979490 | − | 0.201492i | \(-0.935421\pi\) |
0.673990 | − | 0.738741i | \(-0.264579\pi\) | |||||||
\(194\) | −2.36777e12 | − | 1.72029e12i | −0.618630 | − | 0.449461i | ||||
\(195\) | 4.15879e12 | − | 3.02154e12i | 1.05627 | − | 0.767428i | ||||
\(196\) | 1.04507e12 | − | 3.21641e12i | 0.258071 | − | 0.794261i | ||||
\(197\) | 3.14082e11 | 0.0754186 | 0.0377093 | − | 0.999289i | \(-0.487994\pi\) | ||||
0.0377093 | + | 0.999289i | \(0.487994\pi\) | |||||||
\(198\) | 2.22640e12 | + | 5.93831e12i | 0.519930 | + | 1.38677i | ||||
\(199\) | 7.52957e12 | 1.71032 | 0.855162 | − | 0.518361i | \(-0.173458\pi\) | ||||
0.855162 | + | 0.518361i | \(0.173458\pi\) | |||||||
\(200\) | 5.02129e10 | − | 1.54539e11i | 0.0110956 | − | 0.0341487i | ||||
\(201\) | 3.80425e12 | − | 2.76395e12i | 0.817881 | − | 0.594226i | ||||
\(202\) | 3.48408e12 | + | 2.53133e12i | 0.728879 | + | 0.529562i | ||||
\(203\) | −1.42933e12 | − | 4.39902e12i | −0.291007 | − | 0.895628i | ||||
\(204\) | 1.84482e11 | + | 5.67777e11i | 0.0365585 | + | 0.112515i | ||||
\(205\) | 3.94303e12 | + | 2.86478e12i | 0.760649 | + | 0.552644i | ||||
\(206\) | −2.25524e12 | + | 1.63853e12i | −0.423567 | + | 0.307740i | ||||
\(207\) | −2.11948e12 | + | 6.52307e12i | −0.387607 | + | 1.19293i | ||||
\(208\) | 9.92678e11 | 0.176791 | ||||||||
\(209\) | −8.28175e12 | + | 3.69134e11i | −1.43654 | + | 0.0640294i | ||||
\(210\) | −1.26260e13 | −2.13335 | ||||||||
\(211\) | 2.19830e12 | − | 6.76568e12i | 0.361855 | − | 1.11367i | −0.590073 | − | 0.807350i | \(-0.700901\pi\) |
0.951927 | − | 0.306324i | \(-0.0990991\pi\) | |||||||
\(212\) | 1.83842e12 | − | 1.33569e12i | 0.294847 | − | 0.214219i | ||||
\(213\) | −1.45165e13 | − | 1.05469e13i | −2.26869 | − | 1.64830i | ||||
\(214\) | 2.51827e11 | + | 7.75044e11i | 0.0383554 | + | 0.118046i | ||||
\(215\) | 1.59002e12 | + | 4.89358e12i | 0.236043 | + | 0.726466i | ||||
\(216\) | 3.80555e12 | + | 2.76490e12i | 0.550709 | + | 0.400113i | ||||
\(217\) | 1.03617e13 | − | 7.52822e12i | 1.46185 | − | 1.06210i | ||||
\(218\) | −1.37564e12 | + | 4.23377e12i | −0.189231 | + | 0.582394i | ||||
\(219\) | 2.39670e13 | 3.21493 | ||||||||
\(220\) | −3.13710e12 | + | 2.50002e12i | −0.410396 | + | 0.327054i | ||||
\(221\) | −7.45449e11 | −0.0951176 | ||||||||
\(222\) | 6.14519e12 | − | 1.89130e13i | 0.764882 | − | 2.35406i | ||||
\(223\) | −3.01453e12 | + | 2.19019e12i | −0.366052 | + | 0.265953i | −0.755572 | − | 0.655066i | \(-0.772641\pi\) |
0.389520 | + | 0.921018i | \(0.372641\pi\) | |||||||
\(224\) | −1.97253e12 | − | 1.43313e12i | −0.233701 | − | 0.169794i | ||||
\(225\) | 5.68563e11 | + | 1.74986e12i | 0.0657317 | + | 0.202301i | ||||
\(226\) | 2.75784e12 | + | 8.48776e12i | 0.311152 | + | 0.957628i | ||||
\(227\) | −3.15929e12 | − | 2.29536e12i | −0.347895 | − | 0.252760i | 0.400091 | − | 0.916476i | \(-0.368979\pi\) |
−0.747985 | + | 0.663715i | \(0.768979\pi\) | |||||||
\(228\) | −9.51948e12 | + | 6.91630e12i | −1.02323 | + | 0.743417i | ||||
\(229\) | −2.18482e12 | + | 6.72417e12i | −0.229255 | + | 0.705576i | 0.768576 | + | 0.639758i | \(0.220965\pi\) |
−0.997832 | + | 0.0658174i | \(0.979035\pi\) | |||||||
\(230\) | −4.33832e12 | −0.444445 | ||||||||
\(231\) | 2.39776e13 | + | 1.58391e13i | 2.39850 | + | 1.58440i | ||||
\(232\) | −2.08585e12 | −0.203750 | ||||||||
\(233\) | 3.60078e12 | − | 1.10821e13i | 0.343509 | − | 1.05721i | −0.618868 | − | 0.785495i | \(-0.712408\pi\) |
0.962377 | − | 0.271718i | \(-0.0875918\pi\) | |||||||
\(234\) | −9.09347e12 | + | 6.60679e12i | −0.847310 | + | 0.615607i | ||||
\(235\) | −9.17434e11 | − | 6.66555e11i | −0.0835029 | − | 0.0606684i | ||||
\(236\) | 1.25457e12 | + | 3.86116e12i | 0.111552 | + | 0.343322i | ||||
\(237\) | −3.59087e12 | − | 1.10516e13i | −0.311949 | − | 0.960080i | ||||
\(238\) | 1.48127e12 | + | 1.07621e12i | 0.125736 | + | 0.0913528i | ||||
\(239\) | −9.12447e12 | + | 6.62931e12i | −0.756866 | + | 0.549895i | −0.897947 | − | 0.440103i | \(-0.854942\pi\) |
0.141081 | + | 0.989998i | \(0.454942\pi\) | |||||||
\(240\) | −1.75947e12 | + | 5.41510e12i | −0.142633 | + | 0.438980i | ||||
\(241\) | −1.01136e13 | −0.801332 | −0.400666 | − | 0.916224i | \(-0.631221\pi\) | ||||
−0.400666 | + | 0.916224i | \(0.631221\pi\) | |||||||
\(242\) | 9.09377e12 | − | 8.12268e11i | 0.704303 | − | 0.0629093i | ||||
\(243\) | −4.59859e12 | −0.348169 | ||||||||
\(244\) | −2.91375e12 | + | 8.96761e12i | −0.215679 | + | 0.663793i | ||||
\(245\) | −1.95957e13 | + | 1.42371e13i | −1.41823 | + | 1.03041i | ||||
\(246\) | −1.27381e13 | − | 9.25475e12i | −0.901490 | − | 0.654971i | ||||
\(247\) | −4.54030e12 | − | 1.39736e13i | −0.314233 | − | 0.967109i | ||||
\(248\) | −1.78480e12 | − | 5.49304e12i | −0.120811 | − | 0.371817i | ||||
\(249\) | −1.72715e13 | − | 1.25485e13i | −1.14350 | − | 0.830799i | ||||
\(250\) | 8.32926e12 | − | 6.05156e12i | 0.539432 | − | 0.391920i | ||||
\(251\) | −5.65624e12 | + | 1.74081e13i | −0.358362 | + | 1.10293i | 0.595672 | + | 0.803228i | \(0.296886\pi\) |
−0.954034 | + | 0.299698i | \(0.903114\pi\) | |||||||
\(252\) | 2.76077e13 | 1.71130 | ||||||||
\(253\) | 8.23873e12 | + | 5.44233e12i | 0.499686 | + | 0.330082i | ||||
\(254\) | 6.12963e12 | 0.363789 | ||||||||
\(255\) | 1.32127e12 | − | 4.06646e12i | 0.0767399 | − | 0.236181i | ||||
\(256\) | −8.89524e11 | + | 6.46277e11i | −0.0505636 | + | 0.0367366i | ||||
\(257\) | −1.58056e13 | − | 1.14834e13i | −0.879385 | − | 0.638911i | 0.0537037 | − | 0.998557i | \(-0.482897\pi\) |
−0.933089 | + | 0.359646i | \(0.882897\pi\) | |||||||
\(258\) | −5.13660e12 | − | 1.58088e13i | −0.279748 | − | 0.860977i | ||||
\(259\) | −1.88469e13 | − | 5.80049e13i | −1.00483 | − | 3.09254i | ||||
\(260\) | −5.75181e12 | − | 4.17894e12i | −0.300228 | − | 0.218129i | ||||
\(261\) | 1.91075e13 | − | 1.38824e13i | 0.976520 | − | 0.709483i | ||||
\(262\) | −8.32943e11 | + | 2.56354e12i | −0.0416829 | + | 0.128287i | ||||
\(263\) | 2.11354e13 | 1.03575 | 0.517873 | − | 0.855458i | \(-0.326724\pi\) | ||||
0.517873 | + | 0.855458i | \(0.326724\pi\) | |||||||
\(264\) | 1.01345e13 | − | 8.07639e12i | 0.486385 | − | 0.387611i | ||||
\(265\) | −1.62752e13 | −0.765020 | ||||||||
\(266\) | −1.11517e13 | + | 3.43215e13i | −0.513445 | + | 1.58022i | ||||
\(267\) | 2.35633e12 | − | 1.71198e12i | 0.106273 | − | 0.0772122i | ||||
\(268\) | −5.26147e12 | − | 3.82268e12i | −0.232469 | − | 0.168899i | ||||
\(269\) | 7.44331e12 | + | 2.29082e13i | 0.322202 | + | 0.991637i | 0.972688 | + | 0.232118i | \(0.0745655\pi\) |
−0.650485 | + | 0.759519i | \(0.725434\pi\) | |||||||
\(270\) | −1.04107e13 | − | 3.20409e13i | −0.441550 | − | 1.35895i | ||||
\(271\) | 2.81650e13 | + | 2.04631e13i | 1.17052 | + | 0.850433i | 0.991071 | − | 0.133334i | \(-0.0425682\pi\) |
0.179450 | + | 0.983767i | \(0.442568\pi\) | |||||||
\(272\) | 6.67986e11 | − | 4.85320e11i | 0.0272043 | − | 0.0197651i | ||||
\(273\) | −1.57387e13 | + | 4.84388e13i | −0.628167 | + | 1.93330i | ||||
\(274\) | −9.67928e12 | −0.378630 | ||||||||
\(275\) | 2.64613e12 | − | 1.17943e11i | 0.101457 | − | 0.00452214i | ||||
\(276\) | 1.40150e13 | 0.526738 | ||||||||
\(277\) | 4.06980e12 | − | 1.25256e13i | 0.149946 | − | 0.461486i | −0.847668 | − | 0.530527i | \(-0.821994\pi\) |
0.997614 | + | 0.0690411i | \(0.0219940\pi\) | |||||||
\(278\) | −1.72628e12 | + | 1.25422e12i | −0.0623540 | + | 0.0453029i | ||||
\(279\) | 5.29088e13 | + | 3.84405e13i | 1.87372 | + | 1.36134i | ||||
\(280\) | 5.39620e12 | + | 1.66078e13i | 0.187378 | + | 0.576690i | ||||
\(281\) | 9.22604e12 | + | 2.83948e13i | 0.314145 | + | 0.966839i | 0.976105 | + | 0.217300i | \(0.0697250\pi\) |
−0.661960 | + | 0.749539i | \(0.730275\pi\) | |||||||
\(282\) | 2.96379e12 | + | 2.15332e12i | 0.0989641 | + | 0.0719017i | ||||
\(283\) | −4.05152e13 | + | 2.94360e13i | −1.32676 | + | 0.963949i | −0.326941 | + | 0.945045i | \(0.606018\pi\) |
−0.999821 | + | 0.0189040i | \(0.993982\pi\) | |||||||
\(284\) | −7.66877e12 | + | 2.36020e13i | −0.246306 | + | 0.758051i | ||||
\(285\) | 8.42741e13 | 2.65489 | ||||||||
\(286\) | 5.68065e12 | + | 1.51516e13i | 0.175544 | + | 0.468215i | ||||
\(287\) | −4.82893e13 | −1.46386 | ||||||||
\(288\) | 3.84721e12 | − | 1.18405e13i | 0.114416 | − | 0.352136i | ||||
\(289\) | 2.72249e13 | − | 1.97801e13i | 0.794380 | − | 0.577151i | ||||
\(290\) | 1.20859e13 | + | 8.78092e12i | 0.346011 | + | 0.251392i | ||||
\(291\) | −2.09256e13 | − | 6.44022e13i | −0.587849 | − | 1.80921i | ||||
\(292\) | −1.02432e13 | − | 3.15253e13i | −0.282377 | − | 0.869067i | ||||
\(293\) | −1.54946e13 | − | 1.12575e13i | −0.419187 | − | 0.304557i | 0.358123 | − | 0.933674i | \(-0.383417\pi\) |
−0.777311 | + | 0.629117i | \(0.783417\pi\) | |||||||
\(294\) | 6.33045e13 | − | 4.59934e13i | 1.68083 | − | 1.22120i | ||||
\(295\) | 8.98531e12 | − | 2.76539e13i | 0.234160 | − | 0.720669i | ||||
\(296\) | −2.75037e13 | −0.703537 | ||||||||
\(297\) | −2.04241e13 | + | 7.39077e13i | −0.512840 | + | 1.85579i | ||||
\(298\) | −5.98627e12 | −0.147559 | ||||||||
\(299\) | −5.40784e12 | + | 1.66436e13i | −0.130868 | + | 0.402769i | ||||
\(300\) | 3.04160e12 | − | 2.20985e12i | 0.0722662 | − | 0.0525045i | ||||
\(301\) | −4.12436e13 | − | 2.99652e13i | −0.962145 | − | 0.699039i | ||||
\(302\) | −6.40307e12 | − | 1.97066e13i | −0.146673 | − | 0.451413i | ||||
\(303\) | 3.07911e13 | + | 9.47651e13i | 0.692612 | + | 2.13164i | ||||
\(304\) | 1.31659e13 | + | 9.56560e12i | 0.290835 | + | 0.211304i | ||||
\(305\) | 5.46345e13 | − | 3.96943e13i | 1.18527 | − | 0.861149i | ||||
\(306\) | −2.88905e12 | + | 8.89159e12i | −0.0615584 | + | 0.189457i | ||||
\(307\) | −1.47470e13 | −0.308633 | −0.154317 | − | 0.988021i | \(-0.549318\pi\) | ||||
−0.154317 | + | 0.988021i | \(0.549318\pi\) | |||||||
\(308\) | 1.05864e13 | − | 3.83086e13i | 0.217631 | − | 0.787531i | ||||
\(309\) | −6.44980e13 | −1.30249 | ||||||||
\(310\) | −1.27829e13 | + | 3.93416e13i | −0.253594 | + | 0.780481i | ||||
\(311\) | 3.26254e13 | − | 2.37037e13i | 0.635877 | − | 0.461992i | −0.222554 | − | 0.974920i | \(-0.571439\pi\) |
0.858431 | + | 0.512928i | \(0.171439\pi\) | |||||||
\(312\) | 1.85814e13 | + | 1.35002e13i | 0.355818 | + | 0.258517i | ||||
\(313\) | 2.51029e13 | + | 7.72586e13i | 0.472312 | + | 1.45363i | 0.849548 | + | 0.527511i | \(0.176875\pi\) |
−0.377236 | + | 0.926117i | \(0.623125\pi\) | |||||||
\(314\) | −8.55419e12 | − | 2.63271e13i | −0.158149 | − | 0.486732i | ||||
\(315\) | −1.59966e14 | − | 1.16222e14i | −2.90615 | − | 2.11144i | ||||
\(316\) | −1.30021e13 | + | 9.44656e12i | −0.232131 | + | 0.168653i | ||||
\(317\) | 9.09652e12 | − | 2.79962e13i | 0.159606 | − | 0.491217i | −0.838992 | − | 0.544143i | \(-0.816855\pi\) |
0.998598 | + | 0.0529262i | \(0.0168548\pi\) | |||||||
\(318\) | 5.25773e13 | 0.906670 | ||||||||
\(319\) | −1.19364e13 | − | 3.18370e13i | −0.202313 | − | 0.539614i | ||||
\(320\) | 7.87478e12 | 0.131194 | ||||||||
\(321\) | −5.82658e12 | + | 1.79324e13i | −0.0954193 | + | 0.293671i | ||||
\(322\) | 3.47742e13 | − | 2.52649e13i | 0.559822 | − | 0.406734i | ||||
\(323\) | −9.88691e12 | − | 7.18326e12i | −0.156476 | − | 0.113686i | ||||
\(324\) | 1.28337e13 | + | 3.94982e13i | 0.199690 | + | 0.614582i | ||||
\(325\) | 1.45069e12 | + | 4.46476e12i | 0.0221930 | + | 0.0683029i | ||||
\(326\) | −7.88360e12 | − | 5.72777e12i | −0.118584 | − | 0.0861566i | ||||
\(327\) | −8.33280e13 | + | 6.05413e13i | −1.23248 | + | 0.895446i | ||||
\(328\) | −6.72925e12 | + | 2.07105e13i | −0.0978724 | + | 0.301220i | ||||
\(329\) | 1.12356e13 | 0.160701 | ||||||||
\(330\) | −9.27213e13 | + | 4.13277e12i | −1.30423 | + | 0.0581319i | ||||
\(331\) | −9.02057e13 | −1.24790 | −0.623951 | − | 0.781464i | \(-0.714473\pi\) | ||||
−0.623951 | + | 0.781464i | \(0.714473\pi\) | |||||||
\(332\) | −9.12418e12 | + | 2.80813e13i | −0.124146 | + | 0.382084i | ||||
\(333\) | 2.51949e14 | − | 1.83052e14i | 3.37186 | − | 2.44980i | ||||
\(334\) | 3.36992e13 | + | 2.44839e13i | 0.443623 | + | 0.322311i | ||||
\(335\) | 1.43936e13 | + | 4.42990e13i | 0.186390 | + | 0.573651i | ||||
\(336\) | −1.74326e13 | − | 5.36519e13i | −0.222073 | − | 0.683469i | ||||
\(337\) | 3.26039e13 | + | 2.36881e13i | 0.408606 | + | 0.296870i | 0.773037 | − | 0.634361i | \(-0.218737\pi\) |
−0.364431 | + | 0.931230i | \(0.618737\pi\) | |||||||
\(338\) | 2.31945e13 | − | 1.68518e13i | 0.285984 | − | 0.207780i | ||||
\(339\) | −6.38089e13 | + | 1.96384e14i | −0.774075 | + | 2.38236i | ||||
\(340\) | −5.91355e12 | −0.0705853 | ||||||||
\(341\) | 7.36286e13 | − | 5.86762e13i | 0.864764 | − | 0.689149i | ||||
\(342\) | −1.84271e14 | −2.12968 | ||||||||
\(343\) | 2.97596e13 | − | 9.15907e13i | 0.338462 | − | 1.04168i | ||||
\(344\) | −1.85990e13 | + | 1.35130e13i | −0.208170 | + | 0.151244i | ||||
\(345\) | −8.12065e13 | − | 5.90000e13i | −0.894511 | − | 0.649900i | ||||
\(346\) | 7.08528e11 | + | 2.18062e12i | 0.00768136 | + | 0.0236408i | ||||
\(347\) | −3.84636e12 | − | 1.18379e13i | −0.0410429 | − | 0.126317i | 0.928436 | − | 0.371493i | \(-0.121154\pi\) |
−0.969479 | + | 0.245176i | \(0.921154\pi\) | |||||||
\(348\) | −3.90438e13 | − | 2.83670e13i | −0.410078 | − | 0.297939i | ||||
\(349\) | −5.17739e13 | + | 3.76159e13i | −0.535268 | + | 0.388895i | −0.822325 | − | 0.569019i | \(-0.807323\pi\) |
0.287057 | + | 0.957914i | \(0.407323\pi\) | |||||||
\(350\) | 3.56313e12 | − | 1.09662e13i | 0.0362625 | − | 0.111604i | ||||
\(351\) | −1.35900e14 | −1.36154 | ||||||||
\(352\) | −1.49547e13 | − | 9.87875e12i | −0.147500 | − | 0.0974355i | ||||
\(353\) | 1.49261e14 | 1.44939 | 0.724693 | − | 0.689072i | \(-0.241982\pi\) | ||||
0.724693 | + | 0.689072i | \(0.241982\pi\) | |||||||
\(354\) | −2.90273e13 | + | 8.93368e13i | −0.277516 | + | 0.854107i | ||||
\(355\) | 1.43794e14 | − | 1.04472e14i | 1.35358 | − | 0.983432i | ||||
\(356\) | −3.25893e12 | − | 2.36775e12i | −0.0302064 | − | 0.0219463i | ||||
\(357\) | 1.30909e13 | + | 4.02898e13i | 0.119480 | + | 0.367722i | ||||
\(358\) | 1.56493e13 | + | 4.81637e13i | 0.140650 | + | 0.432876i | ||||
\(359\) | −3.77666e13 | − | 2.74390e13i | −0.334263 | − | 0.242856i | 0.407974 | − | 0.912993i | \(-0.366235\pi\) |
−0.742237 | + | 0.670137i | \(0.766235\pi\) | |||||||
\(360\) | −7.21373e13 | + | 5.24108e13i | −0.628776 | + | 0.456832i | ||||
\(361\) | 3.84362e13 | − | 1.18294e14i | 0.329952 | − | 1.01549i | ||||
\(362\) | 7.88247e13 | 0.666447 | ||||||||
\(363\) | 1.81268e14 | + | 1.08469e14i | 1.50950 | + | 0.903269i | ||||
\(364\) | 7.04410e13 | 0.577787 | ||||||||
\(365\) | −7.33624e13 | + | 2.25786e14i | −0.592738 | + | 1.82426i | ||||
\(366\) | −1.76498e14 | + | 1.28233e14i | −1.40473 | + | 1.02060i | ||||
\(367\) | −7.93600e12 | − | 5.76584e12i | −0.0622212 | − | 0.0452063i | 0.556240 | − | 0.831022i | \(-0.312244\pi\) |
−0.618461 | + | 0.785815i | \(0.712244\pi\) | |||||||
\(368\) | −5.98983e12 | − | 1.84348e13i | −0.0462649 | − | 0.142389i | ||||
\(369\) | −7.61956e13 | − | 2.34506e14i | −0.579809 | − | 1.78447i | ||||
\(370\) | 1.59363e14 | + | 1.15784e14i | 1.19475 | + | 0.868039i | ||||
\(371\) | 1.30455e14 | − | 9.47812e13i | 0.963617 | − | 0.700109i | ||||
\(372\) | 4.12953e13 | − | 1.27094e14i | 0.300549 | − | 0.924994i | ||||
\(373\) | −1.72936e14 | −1.24019 | −0.620094 | − | 0.784528i | \(-0.712906\pi\) | ||||
−0.620094 | + | 0.784528i | \(0.712906\pi\) | |||||||
\(374\) | 1.12302e13 | + | 7.41842e12i | 0.0793585 | + | 0.0524225i | ||||
\(375\) | 2.38210e14 | 1.65878 | ||||||||
\(376\) | 1.56571e12 | − | 4.81875e12i | 0.0107443 | − | 0.0330675i | ||||
\(377\) | 4.87527e13 | − | 3.54209e13i | 0.329702 | − | 0.239542i | ||||
\(378\) | 2.70044e14 | + | 1.96198e14i | 1.79982 | + | 1.30765i | ||||
\(379\) | 4.32239e13 | + | 1.33029e14i | 0.283928 | + | 0.873841i | 0.986718 | + | 0.162443i | \(0.0519374\pi\) |
−0.702790 | + | 0.711397i | \(0.748063\pi\) | |||||||
\(380\) | −3.60176e13 | − | 1.10851e14i | −0.233187 | − | 0.717676i | ||||
\(381\) | 1.14737e14 | + | 8.33614e13i | 0.732178 | + | 0.531959i | ||||
\(382\) | 1.15434e14 | − | 8.38677e13i | 0.726081 | − | 0.527529i | ||||
\(383\) | −3.35961e13 | + | 1.03398e14i | −0.208303 | + | 0.641091i | 0.791258 | + | 0.611482i | \(0.209426\pi\) |
−0.999562 | + | 0.0296093i | \(0.990574\pi\) | |||||||
\(384\) | −2.54397e13 | −0.155486 | ||||||||
\(385\) | −2.22610e14 | + | 1.77403e14i | −1.34125 | + | 1.06887i | ||||
\(386\) | −1.17691e14 | −0.699059 | ||||||||
\(387\) | 8.04410e13 | − | 2.47572e14i | 0.471050 | − | 1.44974i | ||||
\(388\) | −7.57688e13 | + | 5.50492e13i | −0.437437 | + | 0.317817i | ||||
\(389\) | 1.92241e14 | + | 1.39672e14i | 1.09427 | + | 0.795033i | 0.980115 | − | 0.198430i | \(-0.0635842\pi\) |
0.114154 | + | 0.993463i | \(0.463584\pi\) | |||||||
\(390\) | −5.08325e13 | − | 1.56446e14i | −0.285290 | − | 0.878032i | ||||
\(391\) | 4.49805e12 | + | 1.38436e13i | 0.0248916 | + | 0.0766084i | ||||
\(392\) | −8.75533e13 | − | 6.36112e13i | −0.477748 | − | 0.347105i | ||||
\(393\) | −5.04548e13 | + | 3.66576e13i | −0.271484 | + | 0.197244i | ||||
\(394\) | 3.10581e12 | − | 9.55871e12i | 0.0164796 | − | 0.0507189i | ||||
\(395\) | 1.15105e14 | 0.602296 | ||||||||
\(396\) | 2.02741e14 | − | 9.03658e12i | 1.04621 | − | 0.0466316i | ||||
\(397\) | −2.01690e14 | −1.02645 | −0.513225 | − | 0.858254i | \(-0.671549\pi\) | ||||
−0.513225 | + | 0.858254i | \(0.671549\pi\) | |||||||
\(398\) | 7.44565e13 | − | 2.29154e14i | 0.373719 | − | 1.15019i | ||||
\(399\) | −6.75507e14 | + | 4.90785e14i | −3.34410 | + | 2.42963i | ||||
\(400\) | −4.20669e12 | − | 3.05634e12i | −0.0205405 | − | 0.0149235i | ||||
\(401\) | −4.39469e13 | − | 1.35255e14i | −0.211658 | − | 0.651416i | −0.999374 | − | 0.0353774i | \(-0.988737\pi\) |
0.787716 | − | 0.616038i | \(-0.211263\pi\) | |||||||
\(402\) | −4.64990e13 | − | 1.43109e14i | −0.220902 | − | 0.679867i | ||||
\(403\) | 1.34997e14 | + | 9.80808e13i | 0.632624 | + | 0.459628i | ||||
\(404\) | 1.11491e14 | − | 8.10026e13i | 0.515395 | − | 0.374457i | ||||
\(405\) | 9.19162e13 | − | 2.82889e14i | 0.419169 | − | 1.29007i | ||||
\(406\) | −1.48013e14 | −0.665896 | ||||||||
\(407\) | −1.57391e14 | − | 4.19799e14i | −0.698573 | − | 1.86325i | ||||
\(408\) | 1.91039e13 | 0.0836547 | ||||||||
\(409\) | 8.86297e13 | − | 2.72774e14i | 0.382914 | − | 1.17849i | −0.555068 | − | 0.831805i | \(-0.687308\pi\) |
0.937982 | − | 0.346683i | \(-0.112692\pi\) | |||||||
\(410\) | 1.26177e14 | − | 9.16730e13i | 0.537860 | − | 0.390778i | ||||
\(411\) | −1.81181e14 | − | 1.31636e14i | −0.762048 | − | 0.553660i | ||||
\(412\) | 2.75656e13 | + | 8.48381e13i | 0.114402 | + | 0.352092i | ||||
\(413\) | 8.90248e13 | + | 2.73990e14i | 0.364574 | + | 1.12204i | ||||
\(414\) | 1.77563e14 | + | 1.29007e14i | 0.717549 | + | 0.521330i | ||||
\(415\) | 1.71083e14 | − | 1.24299e14i | 0.682250 | − | 0.495683i | ||||
\(416\) | 9.81614e12 | − | 3.02110e13i | 0.0386303 | − | 0.118892i | ||||
\(417\) | −4.93702e13 | −0.191742 | ||||||||
\(418\) | −7.06603e13 | + | 2.55696e14i | −0.270836 | + | 0.980062i | ||||
\(419\) | −3.03480e14 | −1.14803 | −0.574015 | − | 0.818845i | \(-0.694615\pi\) | ||||
−0.574015 | + | 0.818845i | \(0.694615\pi\) | |||||||
\(420\) | −1.24853e14 | + | 3.84259e14i | −0.466153 | + | 1.43467i | ||||
\(421\) | −7.48711e13 | + | 5.43971e13i | −0.275907 | + | 0.200458i | −0.717130 | − | 0.696939i | \(-0.754545\pi\) |
0.441223 | + | 0.897397i | \(0.354545\pi\) | |||||||
\(422\) | −1.84167e14 | − | 1.33805e14i | −0.669876 | − | 0.486693i | ||||
\(423\) | 1.77286e13 | + | 5.45630e13i | 0.0636506 | + | 0.195896i | ||||
\(424\) | −2.24708e13 | − | 6.91581e13i | −0.0796355 | − | 0.245093i | ||||
\(425\) | 3.15900e12 | + | 2.29515e12i | 0.0110512 | + | 0.00802919i | ||||
\(426\) | −4.64529e14 | + | 3.37500e14i | −1.60421 | + | 1.16552i | ||||
\(427\) | −2.06761e14 | + | 6.36346e14i | −0.704882 | + | 2.16940i | ||||
\(428\) | 2.60777e13 | 0.0877665 | ||||||||
\(429\) | −9.97247e13 | + | 3.60869e14i | −0.331350 | + | 1.19904i | ||||
\(430\) | 1.64653e14 | 0.540125 | ||||||||
\(431\) | 1.28559e14 | − | 3.95663e14i | 0.416367 | − | 1.28145i | −0.494656 | − | 0.869089i | \(-0.664706\pi\) |
0.911023 | − | 0.412356i | \(-0.135294\pi\) | |||||||
\(432\) | 1.21778e14 | − | 8.84766e13i | 0.389410 | − | 0.282923i | ||||
\(433\) | −1.35593e14 | − | 9.85140e13i | −0.428108 | − | 0.311039i | 0.352784 | − | 0.935705i | \(-0.385235\pi\) |
−0.780892 | + | 0.624666i | \(0.785235\pi\) | |||||||
\(434\) | −1.26650e14 | − | 3.89789e14i | −0.394832 | − | 1.21517i | ||||
\(435\) | 1.06811e14 | + | 3.28730e14i | 0.328795 | + | 1.01193i | ||||
\(436\) | 1.15247e14 | + | 8.37317e13i | 0.350311 | + | 0.254516i | ||||
\(437\) | −2.32105e14 | + | 1.68634e14i | −0.696684 | + | 0.506170i | ||||
\(438\) | 2.36999e14 | − | 7.29408e14i | 0.702488 | − | 2.16204i | ||||
\(439\) | −5.77059e13 | −0.168914 | −0.0844570 | − | 0.996427i | \(-0.526916\pi\) | ||||
−0.0844570 | + | 0.996427i | \(0.526916\pi\) | |||||||
\(440\) | 4.50639e13 | + | 1.20195e14i | 0.130268 | + | 0.347455i | ||||
\(441\) | 1.22540e15 | 3.49837 | ||||||||
\(442\) | −7.37141e12 | + | 2.26869e13i | −0.0207839 | + | 0.0639664i | ||||
\(443\) | 1.94781e14 | − | 1.41517e14i | 0.542408 | − | 0.394083i | −0.282570 | − | 0.959247i | \(-0.591187\pi\) |
0.824979 | + | 0.565164i | \(0.191187\pi\) | |||||||
\(444\) | −5.14826e14 | − | 3.74043e14i | −1.41597 | − | 1.02876i | ||||
\(445\) | 8.91534e12 | + | 2.74386e13i | 0.0242191 | + | 0.0745387i | ||||
\(446\) | 3.68464e13 | + | 1.13401e14i | 0.0988673 | + | 0.304282i | ||||
\(447\) | −1.12054e14 | − | 8.14118e13i | −0.296985 | − | 0.215772i | ||||
\(448\) | −6.31211e13 | + | 4.58601e13i | −0.165251 | + | 0.120062i | ||||
\(449\) | 4.08404e13 | − | 1.25694e14i | 0.105617 | − | 0.325056i | −0.884258 | − | 0.466999i | \(-0.845335\pi\) |
0.989875 | + | 0.141943i | \(0.0453350\pi\) | |||||||
\(450\) | 5.88771e13 | 0.150410 | ||||||||
\(451\) | −3.54620e14 | + | 1.58061e13i | −0.894936 | + | 0.0398891i | ||||
\(452\) | 2.85586e14 | 0.711993 | ||||||||
\(453\) | 1.48149e14 | − | 4.55957e14i | 0.364888 | − | 1.12301i | ||||
\(454\) | −1.01097e14 | + | 7.34516e13i | −0.245999 | + | 0.178729i | ||||
\(455\) | −4.08152e14 | − | 2.96540e14i | −0.981203 | − | 0.712886i | ||||
\(456\) | 1.16356e14 | + | 3.58106e14i | 0.276364 | + | 0.850560i | ||||
\(457\) | −5.51021e13 | − | 1.69587e14i | −0.129309 | − | 0.397972i | 0.865352 | − | 0.501164i | \(-0.167095\pi\) |
−0.994662 | + | 0.103191i | \(0.967095\pi\) | |||||||
\(458\) | 1.83037e14 | + | 1.32984e14i | 0.424404 | + | 0.308348i | ||||
\(459\) | −9.14486e13 | + | 6.64413e13i | −0.209511 | + | 0.152219i | ||||
\(460\) | −4.28996e13 | + | 1.32031e14i | −0.0971148 | + | 0.298889i | ||||
\(461\) | −2.52722e14 | −0.565312 | −0.282656 | − | 0.959221i | \(-0.591216\pi\) | ||||
−0.282656 | + | 0.959221i | \(0.591216\pi\) | |||||||
\(462\) | 7.19148e14 | − | 5.73105e14i | 1.58960 | − | 1.26679i | ||||
\(463\) | 4.46426e14 | 0.975111 | 0.487555 | − | 0.873092i | \(-0.337889\pi\) | ||||
0.487555 | + | 0.873092i | \(0.337889\pi\) | |||||||
\(464\) | −2.06260e13 | + | 6.34803e13i | −0.0445211 | + | 0.137022i | ||||
\(465\) | −7.74310e14 | + | 5.62569e14i | −1.65167 | + | 1.20001i | ||||
\(466\) | −3.01663e14 | − | 2.19171e14i | −0.635915 | − | 0.462019i | ||||
\(467\) | 8.42401e13 | + | 2.59264e14i | 0.175499 | + | 0.540132i | 0.999656 | − | 0.0262304i | \(-0.00835035\pi\) |
−0.824156 | + | 0.566362i | \(0.808350\pi\) | |||||||
\(468\) | 1.11149e14 | + | 3.42081e14i | 0.228851 | + | 0.704330i | ||||
\(469\) | −3.73356e14 | − | 2.71259e14i | −0.759754 | − | 0.551993i | ||||
\(470\) | −2.93579e13 | + | 2.13297e13i | −0.0590455 | + | 0.0428990i | ||||
\(471\) | 1.97921e14 | − | 6.09137e14i | 0.393438 | − | 1.21088i | ||||
\(472\) | 1.29916e14 | 0.255259 | ||||||||
\(473\) | −3.12687e14 | − | 2.06554e14i | −0.607258 | − | 0.401142i | ||||
\(474\) | −3.71849e14 | −0.713816 | ||||||||
\(475\) | −2.37826e13 | + | 7.31952e13i | −0.0451278 | + | 0.138889i | ||||
\(476\) | 4.74006e13 | − | 3.44386e13i | 0.0889090 | − | 0.0645962i | ||||
\(477\) | 6.66128e14 | + | 4.83970e14i | 1.23511 | + | 0.897362i | ||||
\(478\) | 1.11528e14 | + | 3.43246e14i | 0.204423 | + | 0.629148i | ||||
\(479\) | 2.67580e14 | + | 8.23525e14i | 0.484850 | + | 1.49222i | 0.832198 | + | 0.554479i | \(0.187082\pi\) |
−0.347347 | + | 0.937737i | \(0.612918\pi\) | |||||||
\(480\) | 1.47404e14 | + | 1.07095e14i | 0.264047 | + | 0.191841i | ||||
\(481\) | 6.42847e14 | − | 4.67056e14i | 1.13844 | − | 0.827124i | ||||
\(482\) | −1.00009e14 | + | 3.07796e14i | −0.175098 | + | 0.538895i | ||||
\(483\) | 9.94515e14 | 1.72148 | ||||||||
\(484\) | 6.52037e13 | − | 2.84790e14i | 0.111589 | − | 0.487389i | ||||
\(485\) | 6.70767e14 | 1.13499 | ||||||||
\(486\) | −4.54734e13 | + | 1.39953e14i | −0.0760777 | + | 0.234143i | ||||
\(487\) | 1.56997e14 | − | 1.14065e14i | 0.259706 | − | 0.188688i | −0.450311 | − | 0.892872i | \(-0.648687\pi\) |
0.710018 | + | 0.704184i | \(0.248687\pi\) | |||||||
\(488\) | 2.44106e14 | + | 1.77353e14i | 0.399272 | + | 0.290088i | ||||
\(489\) | −6.96724e13 | − | 2.14430e14i | −0.112684 | − | 0.346806i | ||||
\(490\) | 2.39517e14 | + | 7.37157e14i | 0.383052 | + | 1.17891i | ||||
\(491\) | 5.71201e14 | + | 4.15002e14i | 0.903319 | + | 0.656300i | 0.939316 | − | 0.343052i | \(-0.111461\pi\) |
−0.0359974 | + | 0.999352i | \(0.511461\pi\) | |||||||
\(492\) | −4.07618e14 | + | 2.96152e14i | −0.637449 | + | 0.463134i | ||||
\(493\) | 1.54890e13 | − | 4.76704e13i | 0.0239534 | − | 0.0737209i | ||||
\(494\) | −4.70167e14 | −0.719041 | ||||||||
\(495\) | −1.21277e15 | − | 8.01132e14i | −1.83422 | − | 1.21165i | ||||
\(496\) | −1.84823e14 | −0.276444 | ||||||||
\(497\) | −5.44180e14 | + | 1.67481e15i | −0.804975 | + | 2.47746i | ||||
\(498\) | −5.52689e14 | + | 4.01552e14i | −0.808574 | + | 0.587463i | ||||
\(499\) | 4.14438e14 | + | 3.01107e14i | 0.599663 | + | 0.435680i | 0.845759 | − | 0.533565i | \(-0.179148\pi\) |
−0.246096 | + | 0.969245i | \(0.579148\pi\) | |||||||
\(500\) | −1.01808e14 | − | 3.13332e14i | −0.145696 | − | 0.448405i | ||||
\(501\) | 2.97821e14 | + | 9.16600e14i | 0.421549 | + | 1.29740i | ||||
\(502\) | 4.73863e14 | + | 3.44282e14i | 0.663411 | + | 0.481996i | ||||
\(503\) | 2.02496e14 | − | 1.47122e14i | 0.280409 | − | 0.203729i | −0.438687 | − | 0.898640i | \(-0.644556\pi\) |
0.719096 | + | 0.694911i | \(0.244556\pi\) | |||||||
\(504\) | 2.73000e14 | − | 8.40207e14i | 0.373934 | − | 1.15085i | ||||
\(505\) | −9.87004e14 | −1.33726 | ||||||||
\(506\) | 2.47100e14 | − | 1.96919e14i | 0.331165 | − | 0.263913i | ||||
\(507\) | 6.63343e14 | 0.879417 | ||||||||
\(508\) | 6.06132e13 | − | 1.86548e14i | 0.0794907 | − | 0.244647i | ||||
\(509\) | 1.02843e15 | − | 7.47199e14i | 1.33422 | − | 0.969367i | 0.334584 | − | 0.942366i | \(-0.391404\pi\) |
0.999635 | − | 0.0270012i | \(-0.00859578\pi\) | |||||||
\(510\) | −1.10692e14 | − | 8.04227e13i | −0.142063 | − | 0.103215i | ||||
\(511\) | −7.26862e14 | − | 2.23705e15i | −0.922862 | − | 2.84028i | ||||
\(512\) | 1.08726e13 | + | 3.34623e13i | 0.0136568 | + | 0.0420312i | ||||
\(513\) | −1.80244e15 | − | 1.30955e15i | −2.23983 | − | 1.62733i | ||||
\(514\) | −5.05779e14 | + | 3.67470e14i | −0.621819 | + | 0.451778i | ||||
\(515\) | 1.97427e14 | − | 6.07616e14i | 0.240141 | − | 0.739077i | ||||
\(516\) | −5.31917e14 | −0.640133 | ||||||||
\(517\) | 8.25101e13 | − | 3.67764e12i | 0.0982447 | − | 0.00437896i | ||||
\(518\) | −1.95168e15 | −2.29929 | ||||||||
\(519\) | −1.63934e13 | + | 5.04537e13i | −0.0191095 | + | 0.0588129i | ||||
\(520\) | −1.84058e14 | + | 1.33726e14i | −0.212293 | + | 0.154240i | ||||
\(521\) | 1.27716e15 | + | 9.27910e14i | 1.45760 | + | 1.05901i | 0.983981 | + | 0.178274i | \(0.0570514\pi\) |
0.473616 | + | 0.880732i | \(0.342949\pi\) | |||||||
\(522\) | −2.33549e14 | − | 7.18791e14i | −0.263749 | − | 0.811736i | ||||
\(523\) | −2.11361e14 | − | 6.50502e14i | −0.236192 | − | 0.726924i | −0.996961 | − | 0.0779017i | \(-0.975178\pi\) |
0.760769 | − | 0.649023i | \(-0.224822\pi\) | |||||||
\(524\) | 6.97816e13 | + | 5.06993e13i | 0.0771647 | + | 0.0560634i | ||||
\(525\) | 2.15834e14 | − | 1.56812e14i | 0.236180 | − | 0.171595i | ||||
\(526\) | 2.08998e14 | − | 6.43230e14i | 0.226319 | − | 0.696538i | ||||
\(527\) | 1.38793e14 | 0.148733 | ||||||||
\(528\) | −1.45580e14 | − | 3.88295e14i | −0.154389 | − | 0.411789i | ||||
\(529\) | −6.11094e14 | −0.641360 | ||||||||
\(530\) | −1.60938e14 | + | 4.95315e14i | −0.167163 | + | 0.514475i | ||||
\(531\) | −1.19010e15 | + | 8.64657e14i | −1.22339 | + | 0.888841i | ||||
\(532\) | 9.34260e14 | + | 6.78780e14i | 0.950504 | + | 0.690582i | ||||
\(533\) | −1.94413e14 | − | 5.98342e14i | −0.195761 | − | 0.602490i | ||||
\(534\) | −2.88012e13 | − | 8.86411e13i | −0.0287035 | − | 0.0883402i | ||||
\(535\) | −1.51101e14 | − | 1.09781e14i | −0.149046 | − | 0.108288i | ||||
\(536\) | −1.68367e14 | + | 1.22326e14i | −0.164381 | + | 0.119429i | ||||
\(537\) | −3.62083e14 | + | 1.11438e15i | −0.349904 | + | 1.07690i | ||||
\(538\) | 7.70786e14 | 0.737278 | ||||||||
\(539\) | 4.69891e14 | − | 1.70038e15i | 0.444897 | − | 1.60993i | ||||
\(540\) | −1.07807e15 | −1.01038 | ||||||||
\(541\) | 1.29823e14 | − | 3.99554e14i | 0.120439 | − | 0.370673i | −0.872604 | − | 0.488429i | \(-0.837570\pi\) |
0.993043 | + | 0.117756i | \(0.0375701\pi\) | |||||||
\(542\) | 9.01281e14 | − | 6.54819e14i | 0.827684 | − | 0.601347i | ||||
\(543\) | 1.47548e15 | + | 1.07200e15i | 1.34132 | + | 0.974527i | ||||
\(544\) | −8.16473e12 | − | 2.51285e13i | −0.00734764 | − | 0.0226137i | ||||
\(545\) | −3.15277e14 | − | 9.70323e14i | −0.280874 | − | 0.864442i | ||||
\(546\) | 1.31854e15 | + | 9.57979e14i | 1.16288 | + | 0.844883i | ||||
\(547\) | −3.48177e14 | + | 2.52965e14i | −0.303997 | + | 0.220867i | −0.729317 | − | 0.684176i | \(-0.760162\pi\) |
0.425319 | + | 0.905043i | \(0.360162\pi\) | |||||||
\(548\) | −9.57140e13 | + | 2.94577e14i | −0.0827337 | + | 0.254628i | ||||
\(549\) | −3.41652e15 | −2.92372 | ||||||||
\(550\) | 2.25769e13 | − | 8.16982e13i | 0.0191280 | − | 0.0692178i | ||||
\(551\) | 9.87930e14 | 0.828690 | ||||||||
\(552\) | 1.38588e14 | − | 4.26531e14i | 0.115096 | − | 0.354230i | ||||
\(553\) | −9.22635e14 | + | 6.70333e14i | −0.758650 | + | 0.551192i | ||||
\(554\) | −3.40956e14 | − | 2.47719e14i | −0.277584 | − | 0.201677i | ||||
\(555\) | 1.40839e15 | + | 4.33459e15i | 1.13531 | + | 3.49411i | ||||
\(556\) | 2.11002e13 | + | 6.49396e13i | 0.0168413 | + | 0.0518320i | ||||
\(557\) | −7.59244e14 | − | 5.51623e14i | −0.600037 | − | 0.435952i | 0.245855 | − | 0.969307i | \(-0.420931\pi\) |
−0.845892 | + | 0.533354i | \(0.820931\pi\) | |||||||
\(558\) | 1.69308e15 | − | 1.23010e15i | 1.32492 | − | 0.962611i | ||||
\(559\) | 2.05245e14 | − | 6.31680e14i | 0.159041 | − | 0.489477i | ||||
\(560\) | 5.58799e14 | 0.428767 | ||||||||
\(561\) | 1.09323e14 | + | 2.91589e14i | 0.0830645 | + | 0.221552i | ||||
\(562\) | 9.55394e14 | 0.718841 | ||||||||
\(563\) | −2.02853e14 | + | 6.24316e14i | −0.151142 | + | 0.465167i | −0.997750 | − | 0.0670507i | \(-0.978641\pi\) |
0.846608 | + | 0.532217i | \(0.178641\pi\) | |||||||
\(564\) | 9.48414e13 | − | 6.89063e13i | 0.0699782 | − | 0.0508421i | ||||
\(565\) | −1.65475e15 | − | 1.20225e15i | −1.20911 | − | 0.878472i | ||||
\(566\) | 4.95214e14 | + | 1.52411e15i | 0.358346 | + | 1.10288i | ||||
\(567\) | 9.10689e14 | + | 2.80281e15i | 0.652624 | + | 2.00857i | ||||
\(568\) | 6.42467e14 | + | 4.66779e14i | 0.455969 | + | 0.331281i | ||||
\(569\) | −1.92658e15 | + | 1.39975e15i | −1.35416 | + | 0.983856i | −0.355370 | + | 0.934726i | \(0.615645\pi\) |
−0.998792 | + | 0.0491307i | \(0.984355\pi\) | |||||||
\(570\) | 8.33348e14 | − | 2.56478e15i | 0.580116 | − | 1.78541i | ||||
\(571\) | 2.25189e15 | 1.55256 | 0.776281 | − | 0.630387i | \(-0.217104\pi\) | ||||
0.776281 | + | 0.630387i | \(0.217104\pi\) | |||||||
\(572\) | 5.17294e14 | − | 2.30568e13i | 0.353231 | − | 0.0157442i | ||||
\(573\) | 3.30132e15 | 2.23274 | ||||||||
\(574\) | −4.77511e14 | + | 1.46963e15i | −0.319866 | + | 0.984446i | ||||
\(575\) | 7.41606e13 | − | 5.38808e13i | 0.0492039 | − | 0.0357487i | ||||
\(576\) | −3.22308e14 | − | 2.34170e14i | −0.211810 | − | 0.153889i | ||||
\(577\) | −4.05840e14 | − | 1.24905e15i | −0.264173 | − | 0.813040i | −0.991883 | − | 0.127155i | \(-0.959415\pi\) |
0.727710 | − | 0.685885i | \(-0.240585\pi\) | |||||||
\(578\) | −3.32768e14 | − | 1.02415e15i | −0.214555 | − | 0.660332i | ||||
\(579\) | −2.20300e15 | − | 1.60057e15i | −1.40696 | − | 1.02222i | ||||
\(580\) | 3.86749e14 | − | 2.80989e14i | 0.244667 | − | 0.177761i | ||||
\(581\) | −6.47457e14 | + | 1.99267e15i | −0.405735 | + | 1.24872i | ||||
\(582\) | −2.16693e15 | −1.34514 | ||||||||
\(583\) | 9.26993e14 | − | 7.38740e14i | 0.570032 | − | 0.454271i | ||||
\(584\) | −1.06072e15 | −0.646148 | ||||||||
\(585\) | 7.96055e14 | − | 2.45001e15i | 0.480381 | − | 1.47846i | ||||
\(586\) | −4.95827e14 | + | 3.60239e14i | −0.296410 | + | 0.215355i | ||||
\(587\) | −3.93744e14 | − | 2.86071e14i | −0.233187 | − | 0.169420i | 0.465056 | − | 0.885281i | \(-0.346034\pi\) |
−0.698242 | + | 0.715861i | \(0.746034\pi\) | |||||||
\(588\) | −7.73765e14 | − | 2.38141e15i | −0.453977 | − | 1.39720i | ||||
\(589\) | 8.45342e14 | + | 2.60170e15i | 0.491359 | + | 1.51225i | ||||
\(590\) | −7.52763e14 | − | 5.46914e14i | −0.433483 | − | 0.314944i | ||||
\(591\) | 1.88132e14 | − | 1.36686e14i | 0.107333 | − | 0.0779816i | ||||
\(592\) | −2.71972e14 | + | 8.37043e14i | −0.153728 | + | 0.473128i | ||||
\(593\) | −3.32983e15 | −1.86475 | −0.932375 | − | 0.361493i | \(-0.882267\pi\) | ||||
−0.932375 | + | 0.361493i | \(0.882267\pi\) | |||||||
\(594\) | 2.04733e15 | + | 1.35242e15i | 1.13596 | + | 0.750389i | ||||
\(595\) | −4.19629e14 | −0.230686 | ||||||||
\(596\) | −5.91955e13 | + | 1.82185e14i | −0.0322429 | + | 0.0992335i | ||||
\(597\) | 4.51014e15 | − | 3.27681e15i | 2.43406 | − | 1.76845i | ||||
\(598\) | 4.53053e14 | + | 3.29162e14i | 0.242266 | + | 0.176016i | ||||
\(599\) | 9.42894e14 | + | 2.90193e15i | 0.499592 | + | 1.53759i | 0.809677 | + | 0.586876i | \(0.199643\pi\) |
−0.310085 | + | 0.950709i | \(0.600357\pi\) | |||||||
\(600\) | −3.71772e13 | − | 1.14420e14i | −0.0195184 | − | 0.0600716i | ||||
\(601\) | 2.90212e15 | + | 2.10852e15i | 1.50975 | + | 1.09690i | 0.966286 | + | 0.257471i | \(0.0828892\pi\) |
0.543468 | + | 0.839430i | \(0.317111\pi\) | |||||||
\(602\) | −1.31979e15 | + | 9.58887e14i | −0.680339 | + | 0.494295i | ||||
\(603\) | 7.28190e14 | − | 2.24114e15i | 0.371963 | − | 1.14478i | ||||
\(604\) | −6.63065e14 | −0.335624 | ||||||||
\(605\) | −1.57670e15 | + | 1.37565e15i | −0.790853 | + | 0.690007i | ||||
\(606\) | 3.18854e15 | 1.58487 | ||||||||
\(607\) | 9.20178e14 | − | 2.83202e15i | 0.453246 | − | 1.39495i | −0.419936 | − | 0.907554i | \(-0.637947\pi\) |
0.873182 | − | 0.487394i | \(-0.162053\pi\) | |||||||
\(608\) | 4.21309e14 | − | 3.06099e14i | 0.205651 | − | 0.149414i | ||||
\(609\) | −2.77057e15 | − | 2.01294e15i | −1.34021 | − | 0.973722i | ||||
\(610\) | −6.67792e14 | − | 2.05525e15i | −0.320131 | − | 0.985261i | ||||
\(611\) | 4.52345e13 | + | 1.39217e14i | 0.0214903 | + | 0.0661404i | ||||
\(612\) | 2.42036e14 | + | 1.75850e14i | 0.113959 | + | 0.0827959i | ||||
\(613\) | −1.57881e14 | + | 1.14707e14i | −0.0736711 | + | 0.0535252i | −0.624011 | − | 0.781415i | \(-0.714498\pi\) |
0.550340 | + | 0.834941i | \(0.314498\pi\) | |||||||
\(614\) | −1.45826e14 | + | 4.48807e14i | −0.0674388 | + | 0.207555i | ||||
\(615\) | 3.60857e15 | 1.65395 | ||||||||
\(616\) | −1.06119e15 | − | 7.01001e14i | −0.482059 | − | 0.318438i | ||||
\(617\) | 6.07892e14 | 0.273689 | 0.136845 | − | 0.990593i | \(-0.456304\pi\) | ||||
0.136845 | + | 0.990593i | \(0.456304\pi\) | |||||||
\(618\) | −6.37792e14 | + | 1.96292e15i | −0.284605 | + | 0.875923i | ||||
\(619\) | 1.26863e15 | − | 9.21711e14i | 0.561094 | − | 0.407658i | −0.270765 | − | 0.962645i | \(-0.587277\pi\) |
0.831859 | + | 0.554987i | \(0.187277\pi\) | |||||||
\(620\) | 1.07091e15 | + | 7.78062e14i | 0.469460 | + | 0.341083i | ||||
\(621\) | 8.20021e14 | + | 2.52377e15i | 0.356304 | + | 1.09659i | ||||
\(622\) | −3.98777e14 | − | 1.22731e15i | −0.171745 | − | 0.528576i | ||||
\(623\) | −2.31255e14 | − | 1.68017e14i | −0.0987205 | − | 0.0717246i | ||||
\(624\) | 5.94604e14 | − | 4.32005e14i | 0.251601 | − | 0.182799i | ||||
\(625\) | −8.03978e14 | + | 2.47439e15i | −0.337213 | + | 1.03783i | ||||
\(626\) | 2.59951e15 | 1.08077 | ||||||||
\(627\) | −4.80004e15 | + | 3.82526e15i | −1.97822 | + | 1.57648i | ||||
\(628\) | −8.85822e14 | −0.361883 | ||||||||
\(629\) | 2.04236e14 | − | 6.28575e14i | 0.0827094 | − | 0.254553i | ||||
\(630\) | −5.11890e15 | + | 3.71910e15i | −2.05496 | + | 1.49302i | ||||
\(631\) | −2.25410e15 | − | 1.63770e15i | −0.897042 | − | 0.651739i | 0.0406629 | − | 0.999173i | \(-0.487053\pi\) |
−0.937704 | + | 0.347434i | \(0.887053\pi\) | |||||||
\(632\) | 1.58923e14 | + | 4.89116e14i | 0.0626965 | + | 0.192960i | ||||
\(633\) | −1.62761e15 | − | 5.00926e15i | −0.636545 | − | 1.95908i | ||||
\(634\) | −7.62080e14 | − | 5.53684e14i | −0.295468 | − | 0.214670i | ||||
\(635\) | −1.13653e15 | + | 8.25737e14i | −0.436843 | + | 0.317385i | ||||
\(636\) | 5.19913e14 | − | 1.60013e15i | 0.198115 | − | 0.609734i | ||||
\(637\) | 3.12661e15 | 1.18115 | ||||||||
\(638\) | −1.08695e15 | + | 4.84477e13i | −0.407097 | + | 0.0181451i | ||||
\(639\) | −8.99201e15 | −3.33889 | ||||||||
\(640\) | 7.78701e13 | − | 2.39660e14i | 0.0286669 | − | 0.0882277i | ||||
\(641\) | −3.38600e15 | + | 2.46007e15i | −1.23586 | + | 0.897902i | −0.997315 | − | 0.0732305i | \(-0.976669\pi\) |
−0.238541 | + | 0.971132i | \(0.576669\pi\) | |||||||
\(642\) | 4.88134e14 | + | 3.54650e14i | 0.176643 | + | 0.128339i | ||||
\(643\) | −1.22989e14 | − | 3.78521e14i | −0.0441272 | − | 0.135809i | 0.926566 | − | 0.376133i | \(-0.122746\pi\) |
−0.970693 | + | 0.240324i | \(0.922746\pi\) | |||||||
\(644\) | −4.25042e14 | − | 1.30814e15i | −0.151203 | − | 0.465354i | ||||
\(645\) | 3.08205e15 | + | 2.23924e15i | 1.08708 | + | 0.789810i | ||||
\(646\) | −3.16381e14 | + | 2.29864e14i | −0.110645 | + | 0.0803883i | ||||
\(647\) | −5.12144e13 | + | 1.57622e14i | −0.0177590 | + | 0.0546566i | −0.959543 | − | 0.281561i | \(-0.909148\pi\) |
0.941784 | + | 0.336218i | \(0.109148\pi\) | |||||||
\(648\) | 1.32899e15 | 0.456939 | ||||||||
\(649\) | 7.43450e14 | + | 1.98295e15i | 0.253458 | + | 0.676030i | ||||
\(650\) | 1.50225e14 | 0.0507829 | ||||||||
\(651\) | 2.93034e15 | − | 9.01866e15i | 0.982251 | − | 3.02306i | ||||
\(652\) | −2.52275e14 | + | 1.83289e14i | −0.0838518 | + | 0.0609219i | ||||
\(653\) | −8.20188e14 | − | 5.95902e14i | −0.270328 | − | 0.196405i | 0.444360 | − | 0.895848i | \(-0.353431\pi\) |
−0.714688 | + | 0.699444i | \(0.753431\pi\) | |||||||
\(654\) | 1.01851e15 | + | 3.13465e15i | 0.332880 | + | 1.02450i | ||||
\(655\) | −1.90899e14 | − | 5.87527e14i | −0.0618695 | − | 0.190415i | ||||
\(656\) | 5.63757e14 | + | 4.09593e14i | 0.181184 | + | 0.131638i | ||||
\(657\) | 9.71681e15 | − | 7.05967e15i | 3.09681 | − | 2.24996i | ||||
\(658\) | 1.11103e14 | − | 3.41941e14i | 0.0351144 | − | 0.108071i | ||||
\(659\) | −4.92740e15 | −1.54436 | −0.772179 | − | 0.635405i | \(-0.780833\pi\) | ||||
−0.772179 | + | 0.635405i | \(0.780833\pi\) | |||||||
\(660\) | −7.91102e14 | + | 2.86273e15i | −0.245890 | + | 0.889792i | ||||
\(661\) | 2.41249e15 | 0.743632 | 0.371816 | − | 0.928306i | \(-0.378735\pi\) | ||||
0.371816 | + | 0.928306i | \(0.378735\pi\) | |||||||
\(662\) | −8.92003e14 | + | 2.74530e15i | −0.272676 | + | 0.839212i | ||||
\(663\) | −4.46517e14 | + | 3.24413e14i | −0.135367 | + | 0.0983500i | ||||
\(664\) | 7.64397e14 | + | 5.55367e14i | 0.229824 | + | 0.166977i | ||||
\(665\) | −2.55583e15 | − | 7.86602e15i | −0.762101 | − | 2.34550i | ||||
\(666\) | −3.07955e15 | − | 9.47788e15i | −0.910707 | − | 2.80287i | ||||
\(667\) | −9.51969e14 | − | 6.91646e14i | −0.279210 | − | 0.202858i | ||||
\(668\) | 1.07837e15 | − | 7.83484e14i | 0.313689 | − | 0.227908i | ||||
\(669\) | −8.52524e14 | + | 2.62380e15i | −0.245959 | + | 0.756984i | ||||
\(670\) | 1.49052e15 | 0.426507 | ||||||||
\(671\) | −1.31009e15 | + | 4.74078e15i | −0.371816 | + | 1.34548i | ||||
\(672\) | −1.80521e15 | −0.508157 | ||||||||
\(673\) | −1.37426e15 | + | 4.22953e15i | −0.383694 | + | 1.18089i | 0.553729 | + | 0.832697i | \(0.313204\pi\) |
−0.937423 | + | 0.348192i | \(0.886796\pi\) | |||||||
\(674\) | 1.04332e15 | − | 7.58019e14i | 0.288928 | − | 0.209919i | ||||
\(675\) | 5.75905e14 | + | 4.18419e14i | 0.158190 | + | 0.114932i | ||||
\(676\) | −2.83504e14 | − | 8.72535e14i | −0.0772417 | − | 0.237726i | ||||
\(677\) | 1.48485e15 | + | 4.56989e15i | 0.401277 | + | 1.23500i | 0.923964 | + | 0.382480i | \(0.124930\pi\) |
−0.522687 | + | 0.852525i | \(0.675070\pi\) | |||||||
\(678\) | 5.34572e15 | + | 3.88390e15i | 1.43299 | + | 1.04113i | ||||
\(679\) | −5.37659e15 | + | 3.90632e15i | −1.42963 | + | 1.03869i | ||||
\(680\) | −5.84764e13 | + | 1.79972e14i | −0.0154234 | + | 0.0474685i | ||||
\(681\) | −2.89131e15 | −0.756459 | ||||||||
\(682\) | −1.05766e15 | − | 2.82102e15i | −0.274494 | − | 0.732137i | ||||
\(683\) | 5.26233e15 | 1.35477 | 0.677383 | − | 0.735631i | \(-0.263114\pi\) | ||||
0.677383 | + | 0.735631i | \(0.263114\pi\) | |||||||
\(684\) | −1.82217e15 | + | 5.60807e15i | −0.465351 | + | 1.43220i | ||||
\(685\) | 1.79469e15 | − | 1.30392e15i | 0.454665 | − | 0.330333i | ||||
\(686\) | −2.49317e15 | − | 1.81140e15i | −0.626571 | − | 0.455230i | ||||
\(687\) | 1.61762e15 | + | 4.97852e15i | 0.403287 | + | 1.24119i | ||||
\(688\) | 2.27334e14 | + | 6.99662e14i | 0.0562248 | + | 0.173042i | ||||
\(689\) | 1.69962e15 | + | 1.23485e15i | 0.417011 | + | 0.302976i | ||||
\(690\) | −2.59861e15 | + | 1.88800e15i | −0.632515 | + | 0.459549i | ||||
\(691\) | −6.64903e14 | + | 2.04636e15i | −0.160557 | + | 0.494143i | −0.998681 | − | 0.0513355i | \(-0.983652\pi\) |
0.838125 | + | 0.545479i | \(0.183652\pi\) | |||||||
\(692\) | 7.33710e13 | 0.0175768 | ||||||||
\(693\) | 1.43866e16 | − | 6.41240e14i | 3.41921 | − | 0.152401i | ||||
\(694\) | −3.98307e14 | −0.0939162 | ||||||||
\(695\) | 1.51121e14 | − | 4.65102e14i | 0.0353515 | − | 0.108801i | ||||
\(696\) | −1.24940e15 | + | 9.07744e14i | −0.289969 | + | 0.210675i | ||||
\(697\) | −4.23352e14 | − | 3.07583e14i | −0.0974813 | − | 0.0708243i | ||||
\(698\) | 6.32828e14 | + | 1.94764e15i | 0.144571 | + | 0.444943i | ||||
\(699\) | −2.66599e15 | − | 8.20507e15i | −0.604274 | − | 1.85976i | ||||
\(700\) | −2.98509e14 | − | 2.16879e14i | −0.0671302 | − | 0.0487729i | ||||
\(701\) | −1.38105e14 | + | 1.00339e14i | −0.0308149 | + | 0.0223883i | −0.603086 | − | 0.797676i | \(-0.706062\pi\) |
0.572271 | + | 0.820064i | \(0.306062\pi\) | |||||||
\(702\) | −1.34385e15 | + | 4.13595e15i | −0.297507 | + | 0.915632i | ||||
\(703\) | 1.30267e16 | 2.86141 | ||||||||
\(704\) | −4.48528e14 | + | 3.57442e14i | −0.0977552 | + | 0.0779032i | ||||
\(705\) | −8.39613e14 | −0.181568 | ||||||||
\(706\) | 1.47597e15 | − | 4.54257e15i | 0.316702 | − | 0.974710i | ||||
\(707\) | 7.91143e15 | − | 5.74799e15i | 1.68441 | − | 1.22380i | ||||
\(708\) | 2.43182e15 | + | 1.76682e15i | 0.513746 | + | 0.373258i | ||||
\(709\) | −1.77320e15 | − | 5.45734e15i | −0.371709 | − | 1.14400i | −0.945672 | − | 0.325121i | \(-0.894595\pi\) |
0.573964 | − | 0.818881i | \(-0.305405\pi\) | |||||||
\(710\) | −1.75758e15 | − | 5.40926e15i | −0.365589 | − | 1.12517i | ||||
\(711\) | −4.71114e15 | − | 3.42285e15i | −0.972397 | − | 0.706488i | ||||
\(712\) | −1.04286e14 | + | 7.57680e13i | −0.0213592 | + | 0.0155184i | ||||
\(713\) | 1.00687e15 | − | 3.09882e15i | 0.204635 | − | 0.629801i | ||||
\(714\) | 1.35562e15 | 0.273400 | ||||||||
\(715\) | −3.09439e15 | − | 2.04409e15i | −0.619286 | − | 0.409087i | ||||
\(716\) | 1.62055e15 | 0.321842 | ||||||||
\(717\) | −2.58044e15 | + | 7.94178e15i | −0.508556 | + | 1.56517i | ||||
\(718\) | −1.20853e15 | + | 8.78049e14i | −0.236360 | + | 0.171725i | ||||
\(719\) | 1.19653e15 | + | 8.69333e14i | 0.232229 | + | 0.168724i | 0.697814 | − | 0.716279i | \(-0.254156\pi\) |
−0.465585 | + | 0.885003i | \(0.654156\pi\) | |||||||
\(720\) | 8.81727e14 | + | 2.71368e15i | 0.169827 | + | 0.522672i | ||||
\(721\) | 1.95607e15 | + | 6.02016e15i | 0.373886 | + | 1.15070i | ||||
\(722\) | −3.22007e15 | − | 2.33952e15i | −0.610817 | − | 0.443784i | ||||
\(723\) | −6.05795e15 | + | 4.40136e15i | −1.14042 | + | 0.828565i | ||||
\(724\) | 7.79462e14 | − | 2.39894e15i | 0.145624 | − | 0.448184i | ||||
\(725\) | −3.15657e14 | −0.0585270 | ||||||||
\(726\) | 5.09358e15 | − | 4.44407e15i | 0.937286 | − | 0.817767i | ||||
\(727\) | −6.96923e15 | −1.27276 | −0.636378 | − | 0.771377i | \(-0.719568\pi\) | ||||
−0.636378 | + | 0.771377i | \(0.719568\pi\) | |||||||
\(728\) | 6.96559e14 | − | 2.14379e15i | 0.126251 | − | 0.388561i | ||||
\(729\) | 3.05798e15 | − | 2.22175e15i | 0.550090 | − | 0.399664i | ||||
\(730\) | 6.14609e15 | + | 4.46539e15i | 1.09729 | + | 0.797231i | ||||
\(731\) | −1.70716e14 | − | 5.25409e14i | −0.0302502 | − | 0.0931005i | ||||
\(732\) | 2.15732e15 | + | 6.63955e15i | 0.379405 | + | 1.16769i | ||||
\(733\) | −1.60511e15 | − | 1.16618e15i | −0.280177 | − | 0.203561i | 0.438817 | − | 0.898576i | \(-0.355397\pi\) |
−0.718995 | + | 0.695016i | \(0.755397\pi\) | |||||||
\(734\) | −2.53952e14 | + | 1.84507e14i | −0.0439970 | + | 0.0319657i | ||||
\(735\) | −5.54176e15 | + | 1.70558e16i | −0.952945 | + | 2.93286i | ||||
\(736\) | −6.20272e14 | −0.105865 | ||||||||
\(737\) | −2.83059e15 | − | 1.86983e15i | −0.479519 | − | 0.316760i | ||||
\(738\) | −7.89038e15 | −1.32675 | ||||||||
\(739\) | −4.29101e13 | + | 1.32064e14i | −0.00716168 | + | 0.0220414i | −0.954574 | − | 0.297976i | \(-0.903689\pi\) |
0.947412 | + | 0.320017i | \(0.103689\pi\) | |||||||
\(740\) | 5.09962e15 | − | 3.70509e15i | 0.844818 | − | 0.613796i | ||||
\(741\) | −8.80079e15 | − | 6.39415e15i | −1.44718 | − | 1.05144i | ||||
\(742\) | −1.59454e15 | − | 4.90749e15i | −0.260264 | − | 0.801010i | ||||
\(743\) | −1.95841e14 | − | 6.02737e14i | −0.0317297 | − | 0.0976539i | 0.933937 | − | 0.357436i | \(-0.116349\pi\) |
−0.965667 | + | 0.259783i | \(0.916349\pi\) | |||||||
\(744\) | −3.45960e15 | − | 2.51355e15i | −0.556385 | − | 0.404237i | ||||
\(745\) | 1.10995e15 | − | 8.06425e14i | 0.177192 | − | 0.128737i | ||||
\(746\) | −1.71009e15 | + | 5.26311e15i | −0.270991 | + | 0.834024i | ||||
\(747\) | −1.06986e16 | −1.68291 | ||||||||
\(748\) | 3.36821e14 | − | 2.68420e14i | 0.0525945 | − | 0.0419137i | ||||
\(749\) | 1.85049e15 | 0.286838 | ||||||||
\(750\) | 2.35555e15 | − | 7.24965e15i | 0.362457 | − | 1.11553i | ||||
\(751\) | 6.47843e14 | − | 4.70685e14i | 0.0989578 | − | 0.0718971i | −0.537206 | − | 0.843451i | \(-0.680520\pi\) |
0.636164 | + | 0.771554i | \(0.280520\pi\) | |||||||
\(752\) | −1.31170e14 | − | 9.53009e13i | −0.0198901 | − | 0.0144510i | ||||
\(753\) | 4.18784e15 | + | 1.28888e16i | 0.630402 | + | 1.94018i | ||||
\(754\) | −5.95900e14 | − | 1.83399e15i | −0.0890494 | − | 0.274066i | ||||
\(755\) | 3.84195e15 | + | 2.79134e15i | 0.569959 | + | 0.414100i | ||||
\(756\) | 8.64141e15 | − | 6.27835e15i | 1.27267 | − | 0.924646i | ||||
\(757\) | −1.29889e15 | + | 3.99757e15i | −0.189909 | + | 0.584479i | −0.999998 | − | 0.00182721i | \(-0.999418\pi\) |
0.810090 | + | 0.586306i | \(0.199418\pi\) | |||||||
\(758\) | 4.47601e15 | 0.649697 | ||||||||
\(759\) | 7.30337e15 | − | 3.25526e14i | 1.05243 | − | 0.0469089i | ||||
\(760\) | −3.72977e15 | −0.533590 | ||||||||
\(761\) | −8.57831e14 | + | 2.64013e15i | −0.121839 | + | 0.374982i | −0.993312 | − | 0.115462i | \(-0.963165\pi\) |
0.871473 | + | 0.490443i | \(0.163165\pi\) | |||||||
\(762\) | 3.67159e15 | − | 2.66757e15i | 0.517728 | − | 0.376152i | ||||
\(763\) | 8.17798e15 | + | 5.94165e15i | 1.14488 | + | 0.831806i | ||||
\(764\) | −1.41094e15 | − | 4.34242e15i | −0.196108 | − | 0.603558i | ||||
\(765\) | −6.62131e14 | − | 2.03783e15i | −0.0913705 | − | 0.281210i | ||||
\(766\) | 2.81459e15 | + | 2.04492e15i | 0.385617 | + | 0.280167i | ||||
\(767\) | −3.03653e15 | + | 2.20617e15i | −0.413051 | + | 0.300099i | ||||
\(768\) | −2.51561e14 | + | 7.74227e14i | −0.0339748 | + | 0.104564i | ||||
\(769\) | −1.50260e15 | −0.201488 | −0.100744 | − | 0.994912i | \(-0.532122\pi\) | ||||
−0.100744 | + | 0.994912i | \(0.532122\pi\) | |||||||
\(770\) | 3.19776e15 | + | 8.52913e15i | 0.425742 | + | 1.13555i | ||||
\(771\) | −1.44649e16 | −1.91213 | ||||||||
\(772\) | −1.16380e15 | + | 3.58179e15i | −0.152750 | + | 0.470116i | ||||
\(773\) | 5.31459e15 | − | 3.86128e15i | 0.692600 | − | 0.503204i | −0.184914 | − | 0.982755i | \(-0.559201\pi\) |
0.877514 | + | 0.479551i | \(0.159201\pi\) | |||||||
\(774\) | −6.73912e15 | − | 4.89625e15i | −0.872022 | − | 0.633561i | ||||
\(775\) | −2.70098e14 | − | 8.31277e14i | −0.0347026 | − | 0.106804i | ||||
\(776\) | 9.26115e14 | + | 2.85029e15i | 0.118148 | + | 0.363621i | ||||
\(777\) | −3.65324e16 | − | 2.65423e16i | −4.62767 | − | 3.36220i | ||||
\(778\) | 6.15173e15 | − | 4.46949e15i | 0.773765 | − | 0.562173i | ||||
\(779\) | 3.18721e15 | − | 9.80921e15i | 0.398065 | − | 1.22512i | ||||
\(780\) | −5.26392e15 | −0.652813 | ||||||||
\(781\) | −3.44806e15 | + | 1.24774e16i | −0.424614 | + | 1.53653i | ||||
\(782\) | 4.65792e14 | 0.0569580 | ||||||||
\(783\) | 2.82374e15 | − | 8.69059e15i | 0.342875 | − | 1.05526i | ||||
\(784\) | −2.80171e15 | + | 2.03556e15i | −0.337819 | + | 0.245440i | ||||
\(785\) | 5.13266e15 | + | 3.72910e15i | 0.614554 | + | 0.446499i | ||||
\(786\) | 6.16705e14 | + | 1.89802e15i | 0.0733252 | + | 0.225672i | ||||
\(787\) | 5.27087e14 | + | 1.62221e15i | 0.0622330 | + | 0.191534i | 0.977339 | − | 0.211680i | \(-0.0678933\pi\) |
−0.915106 | + | 0.403213i | \(0.867893\pi\) | |||||||
\(788\) | −2.60196e14 | − | 1.89043e14i | −0.0305075 | − | 0.0221650i | ||||
\(789\) | 1.26599e16 | − | 9.19794e15i | 1.47403 | − | 1.07094i | ||||
\(790\) | 1.13822e15 | − | 3.50308e15i | 0.131606 | − | 0.405043i | ||||
\(791\) | 2.02653e16 | 2.32693 | ||||||||
\(792\) | 1.72980e15 | − | 6.25955e15i | 0.197245 | − | 0.713764i | ||||
\(793\) | −8.71724e15 | −0.987135 | ||||||||
\(794\) | −1.99442e15 | + | 6.13821e15i | −0.224287 | + | 0.690286i | ||||
\(795\) | −9.74866e15 | + | 7.08281e15i | −1.08874 | + | 0.791018i | ||||
\(796\) | −6.23775e15 | − | 4.53199e15i | −0.691841 | − | 0.502652i | ||||
\(797\) | −4.45819e15 | − | 1.37209e16i | −0.491064 | − | 1.51134i | −0.823002 | − | 0.568038i | \(-0.807702\pi\) |
0.331938 | − | 0.943301i | \(-0.392298\pi\) | |||||||
\(798\) | 8.25666e15 | + | 2.54114e16i | 0.903210 | + | 2.77979i | ||||
\(799\) | 9.85021e13 | + | 7.15660e13i | 0.0107013 | + | 0.00777498i | ||||
\(800\) | −1.34614e14 | + | 9.78028e13i | −0.0145243 | + | 0.0105525i | ||||
\(801\) | 4.51038e14 | − | 1.38815e15i | 0.0483319 | − | 0.148750i | ||||
\(802\) | −4.55089e15 | −0.484325 | ||||||||
\(803\) | −6.07005e15 | − | 1.61902e16i | −0.641589 | − | 1.71126i | ||||
\(804\) | −4.81516e15 | −0.505478 | ||||||||
\(805\) | −3.04418e15 | + | 9.36902e15i | −0.317390 | + | 0.976825i | ||||
\(806\) | 4.31989e15 | − | 3.13859e15i | 0.447332 | − | 0.325006i | ||||
\(807\) | 1.44279e16 | + | 1.04825e16i | 1.48388 | + | 1.07810i | ||||
\(808\) | −1.36274e15 | − | 4.19408e15i | −0.139204 | − | 0.428424i | ||||
\(809\) | −2.82591e15 | − | 8.69725e15i | −0.286709 | − | 0.882400i | −0.985881 | − | 0.167446i | \(-0.946448\pi\) |
0.699172 | − | 0.714953i | \(-0.253552\pi\) | |||||||
\(810\) | −7.70047e15 | − | 5.59472e15i | −0.775978 | − | 0.563781i | ||||
\(811\) | −6.55772e15 | + | 4.76446e15i | −0.656354 | + | 0.476869i | −0.865430 | − | 0.501030i | \(-0.832954\pi\) |
0.209076 | + | 0.977899i | \(0.432954\pi\) | |||||||
\(812\) | −1.46363e15 | + | 4.50459e15i | −0.145504 | + | 0.447814i | ||||
\(813\) | 2.57759e16 | 2.54517 | ||||||||
\(814\) | −1.43324e16 | + | 6.38825e14i | −1.40568 | + | 0.0626538i | ||||
\(815\) | 2.23334e15 | 0.217565 | ||||||||
\(816\) | 1.88909e14 | − | 5.81404e14i | 0.0182792 | − | 0.0562577i | ||||
\(817\) | 8.80913e15 | − | 6.40021e15i | 0.846665 | − | 0.615138i | ||||
\(818\) | −7.42514e15 | − | 5.39468e15i | −0.708862 | − | 0.515018i | ||||
\(819\) | 7.88717e15 | + | 2.42742e16i | 0.747928 | + | 2.30189i | ||||
\(820\) | −1.54225e15 | − | 4.74656e15i | −0.145271 | − | 0.447098i | ||||
\(821\) | 9.90062e15 | + | 7.19322e15i | 0.926350 | + | 0.673033i | 0.945096 | − | 0.326792i | \(-0.105968\pi\) |
−0.0187465 | + | 0.999824i | \(0.505968\pi\) | |||||||
\(822\) | −5.79779e15 | + | 4.21234e15i | −0.538849 | + | 0.391497i | ||||
\(823\) | −2.02188e15 | + | 6.22270e15i | −0.186662 | + | 0.574486i | −0.999973 | − | 0.00734281i | \(-0.997663\pi\) |
0.813311 | + | 0.581829i | \(0.197663\pi\) | |||||||
\(824\) | 2.85453e15 | 0.261779 | ||||||||
\(825\) | 1.53368e15 | − | 1.22222e15i | 0.139713 | − | 0.111341i | ||||
\(826\) | 9.21889e15 | 0.834235 | ||||||||
\(827\) | −6.65208e14 | + | 2.04730e15i | −0.0597967 | + | 0.184035i | −0.976493 | − | 0.215550i | \(-0.930846\pi\) |
0.916696 | + | 0.399585i | \(0.130846\pi\) | |||||||
\(828\) | 5.68203e15 | − | 4.12824e15i | 0.507384 | − | 0.368636i | ||||
\(829\) | 1.13528e16 | + | 8.24828e15i | 1.00705 | + | 0.731667i | 0.963589 | − | 0.267388i | \(-0.0861605\pi\) |
0.0434645 | + | 0.999055i | \(0.486160\pi\) | |||||||
\(830\) | −2.09114e15 | − | 6.43586e15i | −0.184269 | − | 0.567123i | ||||
\(831\) | −3.01325e15 | − | 9.27383e15i | −0.263773 | − | 0.811809i | ||||
\(832\) | −8.22368e14 | − | 5.97485e14i | −0.0715135 | − | 0.0519576i | ||||
\(833\) | 2.10394e15 | − | 1.52860e15i | 0.181754 | − | 0.132052i | ||||
\(834\) | −4.88200e14 | + | 1.50252e15i | −0.0418971 | + | 0.128946i | ||||
\(835\) | −9.54664e15 | −0.813907 | ||||||||
\(836\) | 7.08306e15 | + | 4.67892e15i | 0.599910 | + | 0.396288i | ||||
\(837\) | 2.53027e16 | 2.12901 | ||||||||
\(838\) | −3.00098e15 | + | 9.23606e15i | −0.250854 | + | 0.772049i | ||||
\(839\) | −1.78110e16 | + | 1.29404e16i | −1.47910 | + | 1.07463i | −0.501253 | + | 0.865301i | \(0.667127\pi\) |
−0.977846 | + | 0.209327i | \(0.932873\pi\) | |||||||
\(840\) | 1.04598e16 | + | 7.59952e15i | 0.862956 | + | 0.626975i | ||||
\(841\) | −2.51804e15 | − | 7.74973e15i | −0.206388 | − | 0.635197i | ||||
\(842\) | 9.15143e14 | + | 2.81652e15i | 0.0745200 | + | 0.229349i | ||||
\(843\) | 1.78835e16 | + | 1.29931e16i | 1.44677 | + | 1.05114i | ||||
\(844\) | −5.89336e15 | + | 4.28178e15i | −0.473674 | + | 0.344144i | ||||
\(845\) | −2.03047e15 | + | 6.24916e15i | −0.162138 | + | 0.499010i | ||||
\(846\) | 1.83587e15 | 0.145648 | ||||||||
\(847\) | 4.62689e15 | − | 2.02089e16i | 0.364696 | − | 1.59288i | ||||
\(848\) | −2.32695e15 | −0.182226 | ||||||||
\(849\) | −1.14579e16 | + | 3.52638e16i | −0.891482 | + | 2.74370i | ||||
\(850\) | 1.01088e14 | − | 7.34448e13i | 0.00781440 | − | 0.00567750i | ||||
\(851\) | −1.25525e16 | − | 9.11995e15i | −0.964093 | − | 0.700455i | ||||
\(852\) | 5.67790e15 | + | 1.74748e16i | 0.433281 | + | 1.33350i | ||||
\(853\) | −9.33438e14 | − | 2.87283e15i | −0.0707727 | − | 0.217816i | 0.909414 | − | 0.415892i | \(-0.136531\pi\) |
−0.980187 | + | 0.198076i | \(0.936531\pi\) | |||||||
\(854\) | 1.73219e16 | + | 1.25851e16i | 1.30490 | + | 0.948064i | ||||
\(855\) | 3.41667e16 | − | 2.48236e16i | 2.55735 | − | 1.85802i | ||||
\(856\) | 2.57871e14 | − | 7.93645e14i | 0.0191777 | − | 0.0590229i | ||||
\(857\) | 8.84423e15 | 0.653530 | 0.326765 | − | 0.945106i | \(-0.394041\pi\) | ||||
0.326765 | + | 0.945106i | \(0.394041\pi\) | |||||||
\(858\) | 9.99650e15 | + | 6.60348e15i | 0.733952 | + | 0.484833i | ||||
\(859\) | −4.83822e15 | −0.352958 | −0.176479 | − | 0.984304i | \(-0.556471\pi\) | ||||
−0.176479 | + | 0.984304i | \(0.556471\pi\) | |||||||
\(860\) | 1.62818e15 | − | 5.01103e15i | 0.118022 | − | 0.363233i | ||||
\(861\) | −2.89248e16 | + | 2.10151e16i | −2.08331 | + | 1.51361i | ||||
\(862\) | −1.07703e16 | − | 7.82505e15i | −0.770790 | − | 0.560012i | ||||
\(863\) | −7.01253e15 | − | 2.15824e16i | −0.498673 | − | 1.53476i | −0.811154 | − | 0.584833i | \(-0.801160\pi\) |
0.312481 | − | 0.949924i | \(-0.398840\pi\) | |||||||
\(864\) | −1.48848e15 | − | 4.58106e15i | −0.105176 | − | 0.323699i | ||||
\(865\) | −4.25129e14 | − | 3.08874e14i | −0.0298492 | − | 0.0216867i | ||||
\(866\) | −4.33897e15 | + | 3.15245e15i | −0.302718 | + | 0.219938i | ||||
\(867\) | 7.69934e15 | − | 2.36961e16i | 0.533763 | − | 1.64275i | ||||
\(868\) | −1.31152e16 | −0.903473 | ||||||||
\(869\) | −6.55609e15 | + | 5.22469e15i | −0.448783 | + | 0.357645i | ||||
\(870\) | 1.10607e16 | 0.752363 | ||||||||
\(871\) | 1.85798e15 | − | 5.71826e15i | 0.125586 | − | 0.386513i | ||||
\(872\) | 3.68790e15 | − | 2.67942e15i | 0.247707 | − | 0.179970i | ||||
\(873\) | −2.74539e16 | − | 1.99464e16i | −1.83242 | − | 1.33133i | ||||
\(874\) | 2.83699e15 | + | 8.73137e15i | 0.188168 | + | 0.579121i | ||||
\(875\) | −7.22434e15 | − | 2.22342e16i | −0.476161 | − | 1.46547i | ||||
\(876\) | −1.98551e16 | − | 1.44256e16i | −1.30047 | − | 0.944845i | ||||
\(877\) | −1.66291e16 | + | 1.20817e16i | −1.08236 | + | 0.786377i | −0.978092 | − | 0.208173i | \(-0.933248\pi\) |
−0.104263 | + | 0.994550i | \(0.533248\pi\) | |||||||
\(878\) | −5.70628e14 | + | 1.75621e15i | −0.0369091 | + | 0.113594i | ||||
\(879\) | −1.41803e16 | −0.911477 | ||||||||
\(880\) | 4.10362e15 | − | 1.82907e14i | 0.262128 | − | 0.0116835i | ||||
\(881\) | 1.90747e16 | 1.21085 | 0.605426 | − | 0.795902i | \(-0.293003\pi\) | ||||
0.605426 | + | 0.795902i | \(0.293003\pi\) | |||||||
\(882\) | 1.21174e16 | − | 3.72936e16i | 0.764423 | − | 2.35265i | ||||
\(883\) | 1.60184e16 | − | 1.16380e16i | 1.00423 | − | 0.729617i | 0.0412408 | − | 0.999149i | \(-0.486869\pi\) |
0.962992 | + | 0.269532i | \(0.0868689\pi\) | |||||||
\(884\) | 6.17555e14 | + | 4.48680e14i | 0.0384759 | + | 0.0279543i | ||||
\(885\) | −6.65265e15 | − | 2.04748e16i | −0.411914 | − | 1.26774i | ||||
\(886\) | −2.38079e15 | − | 7.32732e15i | −0.146499 | − | 0.450879i | ||||
\(887\) | 7.79159e15 | + | 5.66092e15i | 0.476482 | + | 0.346184i | 0.799962 | − | 0.600051i | \(-0.204853\pi\) |
−0.323480 | + | 0.946235i | \(0.604853\pi\) | |||||||
\(888\) | −1.64744e16 | + | 1.19694e16i | −1.00124 | + | 0.727446i | ||||
\(889\) | 4.30114e15 | − | 1.32376e16i | 0.259791 | − | 0.799554i | ||||
\(890\) | 9.23221e14 | 0.0554192 | ||||||||
\(891\) | 7.60520e15 | + | 2.02848e16i | 0.453715 | + | 1.21016i | ||||
\(892\) | 3.81559e15 | 0.226233 | ||||||||
\(893\) | −7.41574e14 | + | 2.28233e15i | −0.0436990 | + | 0.134492i | ||||
\(894\) | −3.58572e15 | + | 2.60518e15i | −0.210000 | + | 0.152574i | ||||
\(895\) | −9.38988e15 | − | 6.82215e15i | −0.546554 | − | 0.397095i | ||||
\(896\) | 7.71523e14 | + | 2.37450e15i | 0.0446329 | + | 0.137366i | ||||
\(897\) | 4.00392e15 | + | 1.23228e16i | 0.230211 | + | 0.708518i | ||||
\(898\) | −3.42149e15 | − | 2.48586e15i | −0.195522 | − | 0.142055i | ||||
\(899\) | −9.07710e15 | + | 6.59490e15i | −0.515548 | + | 0.374567i | ||||
\(900\) | 5.82208e14 | − | 1.79185e15i | 0.0328658 | − | 0.101151i | ||||
\(901\) | 1.74742e15 | 0.0980415 | ||||||||
\(902\) | −3.02563e15 | + | 1.09487e16i | −0.168725 | + | 0.610559i | ||||
\(903\) | −3.77451e16 | −2.09208 | ||||||||
\(904\) | 2.82403e15 | − | 8.69147e15i | 0.155576 | − | 0.478814i | ||||
\(905\) | −1.46153e16 | + | 1.06187e16i | −0.800279 | + | 0.581437i | ||||
\(906\) | −1.24115e16 | − | 9.01751e15i | −0.675492 | − | 0.490774i | ||||
\(907\) | 9.82361e15 | + | 3.02340e16i | 0.531412 | + | 1.63552i | 0.751277 | + | 0.659987i | \(0.229438\pi\) |
−0.219866 | + | 0.975530i | \(0.570562\pi\) | |||||||
\(908\) | 1.23571e15 | + | 3.80311e15i | 0.0664420 | + | 0.204487i | ||||
\(909\) | 4.03972e16 | + | 2.93503e16i | 2.15899 | + | 1.56860i | ||||
\(910\) | −1.30609e16 | + | 9.48927e15i | −0.693816 | + | 0.504087i | ||||
\(911\) | −4.22776e15 | + | 1.30117e16i | −0.223234 | + | 0.687043i | 0.775232 | + | 0.631676i | \(0.217633\pi\) |
−0.998466 | + | 0.0553665i | \(0.982367\pi\) | |||||||
\(912\) | 1.20491e16 | 0.632388 | ||||||||
\(913\) | −4.10245e15 | + | 1.48454e16i | −0.214020 | + | 0.774465i | ||||
\(914\) | −5.70605e15 | −0.295891 | ||||||||
\(915\) | 1.54509e16 | − | 4.75529e16i | 0.796411 | − | 2.45110i | ||||
\(916\) | 5.85720e15 | − | 4.25550e15i | 0.300099 | − | 0.218035i | ||||
\(917\) | 4.95174e15 | + | 3.59765e15i | 0.252189 | + | 0.183226i | ||||
\(918\) | 1.11777e15 | + | 3.44014e15i | 0.0565871 | + | 0.174157i | ||||
\(919\) | 2.10452e15 | + | 6.47703e15i | 0.105905 | + | 0.325942i | 0.989942 | − | 0.141475i | \(-0.0451845\pi\) |
−0.884037 | + | 0.467417i | \(0.845185\pi\) | |||||||
\(920\) | 3.59401e15 | + | 2.61120e15i | 0.179782 | + | 0.130619i | ||||
\(921\) | −8.83330e15 | + | 6.41777e15i | −0.439233 | + | 0.319121i | ||||
\(922\) | −2.49905e15 | + | 7.69130e15i | −0.123525 | + | 0.380172i | ||||
\(923\) | −2.29431e16 | −1.12731 | ||||||||
\(924\) | −1.03304e16 | − | 2.75536e16i | −0.504571 | − | 1.34581i | ||||
\(925\) | −4.16221e15 | −0.202090 | ||||||||
\(926\) | 4.41450e15 | − | 1.35864e16i | 0.213070 | − | 0.655761i | ||||
\(927\) | −2.61490e16 | + | 1.89984e16i | −1.25463 | + | 0.911545i | ||||
\(928\) | 1.72799e15 | + | 1.25546e15i | 0.0824188 | + | 0.0598808i | ||||
\(929\) | −1.16633e16 | − | 3.58960e16i | −0.553014 | − | 1.70200i | −0.701131 | − | 0.713032i | \(-0.747321\pi\) |
0.148117 | − | 0.988970i | \(-0.452679\pi\) | |||||||
\(930\) | 9.46433e15 | + | 2.91282e16i | 0.446101 | + | 1.37296i | ||||
\(931\) | 4.14683e16 | + | 3.01285e16i | 1.94309 | + | 1.41174i | ||||
\(932\) | −9.65320e15 | + | 7.01346e15i | −0.449660 | + | 0.326697i | ||||
\(933\) | 9.22661e15 | − | 2.83966e16i | 0.427261 | − | 1.31497i | ||||
\(934\) | 8.72341e15 | 0.401586 | ||||||||
\(935\) | −3.08161e15 | + | 1.37353e14i | −0.141031 | + | 0.00628601i | ||||
\(936\) | 1.15099e16 | 0.523667 | ||||||||
\(937\) | 9.03809e15 | − | 2.78164e16i | 0.408798 | − | 1.25815i | −0.508884 | − | 0.860835i | \(-0.669942\pi\) |
0.917682 | − | 0.397316i | \(-0.130058\pi\) | |||||||
\(938\) | −1.19474e16 | + | 8.68030e15i | −0.537227 | + | 0.390318i | ||||
\(939\) | 4.86587e16 | + | 3.53526e16i | 2.17520 | + | 1.58038i | ||||
\(940\) | 3.58839e14 | + | 1.10439e15i | 0.0159476 | + | 0.0490818i | ||||
\(941\) | 3.19994e15 | + | 9.84840e15i | 0.141384 | + | 0.435134i | 0.996528 | − | 0.0832556i | \(-0.0265318\pi\) |
−0.855145 | + | 0.518389i | \(0.826532\pi\) | |||||||
\(942\) | −1.65812e16 | − | 1.20469e16i | −0.728343 | − | 0.529172i | ||||
\(943\) | −9.93858e15 | + | 7.22080e15i | −0.434020 | + | 0.315334i | ||||
\(944\) | 1.28468e15 | − | 3.95383e15i | 0.0557761 | − | 0.171661i | ||||
\(945\) | −7.65007e16 | −3.30210 | ||||||||
\(946\) | −9.37825e15 | + | 7.47373e15i | −0.402458 | + | 0.320727i | ||||
\(947\) | 3.71322e16 | 1.58426 | 0.792129 | − | 0.610354i | \(-0.208973\pi\) | ||||
0.792129 | + | 0.610354i | \(0.208973\pi\) | |||||||
\(948\) | −3.67705e15 | + | 1.13168e16i | −0.155975 | + | 0.480040i | ||||
\(949\) | 2.47924e16 | − | 1.80127e16i | 1.04557 | − | 0.759654i | ||||
\(950\) | 1.99243e15 | + | 1.44759e15i | 0.0835418 | + | 0.0606967i | ||||
\(951\) | −6.73500e15 | − | 2.07282e16i | −0.280766 | − | 0.864109i | ||||
\(952\) | −5.79374e14 | − | 1.78313e15i | −0.0240135 | − | 0.0739060i | ||||
\(953\) | −1.59503e16 | − | 1.15886e16i | −0.657291 | − | 0.477550i | 0.208456 | − | 0.978032i | \(-0.433156\pi\) |
−0.865747 | + | 0.500482i | \(0.833156\pi\) | |||||||
\(954\) | 2.13161e16 | − | 1.54870e16i | 0.873356 | − | 0.634531i | ||||
\(955\) | −1.01052e16 | + | 3.11008e16i | −0.411650 | + | 1.26693i | ||||
\(956\) | 1.15491e16 | 0.467769 | ||||||||
\(957\) | −2.10050e16 | − | 1.38754e16i | −0.845875 | − | 0.558767i | ||||
\(958\) | 2.77090e16 | 1.10946 | ||||||||
\(959\) | −6.79191e15 | + | 2.09034e16i | −0.270389 | + | 0.832173i | ||||
\(960\) | 4.71692e15 | − | 3.42704e15i | 0.186709 | − | 0.135652i | ||||
\(961\) | −4.57867e15 | − | 3.32660e15i | −0.180202 | − | 0.130925i | ||||
\(962\) | −7.85746e15 | − | 2.41828e16i | −0.307482 | − | 0.946332i | ||||
\(963\) | 2.91988e15 | + | 8.98648e15i | 0.113611 | + | 0.349659i | ||||
\(964\) | 8.37846e15 | + | 6.08730e15i | 0.324146 | + | 0.235506i | ||||
\(965\) | 2.18218e16 | − | 1.58545e16i | 0.839441 | − | 0.609890i | ||||
\(966\) | 9.83430e15 | − | 3.02669e16i | 0.376157 | − | 1.15769i | ||||
\(967\) | −4.01178e15 | −0.152578 | −0.0762890 | − | 0.997086i | \(-0.524307\pi\) | ||||
−0.0762890 | + | 0.997086i | \(0.524307\pi\) | |||||||
\(968\) | −8.02248e15 | − | 4.80056e15i | −0.303385 | − | 0.181542i | ||||
\(969\) | −9.04826e15 | −0.340239 | ||||||||
\(970\) | 6.63290e15 | − | 2.04140e16i | 0.248004 | − | 0.763279i | ||||
\(971\) | 1.54189e16 | − | 1.12025e16i | 0.573255 | − | 0.416494i | −0.263031 | − | 0.964787i | \(-0.584722\pi\) |
0.836286 | + | 0.548293i | \(0.184722\pi\) | |||||||
\(972\) | 3.80963e15 | + | 2.76786e15i | 0.140837 | + | 0.102324i | ||||
\(973\) | 1.49728e15 | + | 4.60815e15i | 0.0550404 | + | 0.169397i | ||||
\(974\) | −1.91896e15 | − | 5.90596e15i | −0.0701443 | − | 0.215882i | ||||
\(975\) | 2.81197e15 | + | 2.04302e15i | 0.102208 | + | 0.0742586i | ||||
\(976\) | 7.81138e15 | − | 5.67530e15i | 0.282328 | − | 0.205123i | ||||
\(977\) | −1.62608e15 | + | 5.00457e15i | −0.0584417 | + | 0.179865i | −0.976016 | − | 0.217700i | \(-0.930145\pi\) |
0.917574 | + | 0.397565i | \(0.130145\pi\) | |||||||
\(978\) | −7.21487e15 | −0.257849 | ||||||||
\(979\) | −1.75325e15 | − | 1.15816e15i | −0.0623074 | − | 0.0411589i | ||||
\(980\) | 2.48030e16 | 0.876517 | ||||||||
\(981\) | −1.59502e16 | + | 4.90898e16i | −0.560516 | + | 1.72509i | ||||
\(982\) | 1.82784e16 | − | 1.32801e16i | 0.638743 | − | 0.464074i | ||||
\(983\) | −3.56679e16 | − | 2.59143e16i | −1.23946 | − | 0.900522i | −0.241900 | − | 0.970301i | \(-0.577771\pi\) |
−0.997562 | + | 0.0697788i | \(0.977771\pi\) | |||||||
\(984\) | 4.98228e15 | + | 1.53339e16i | 0.172169 | + | 0.529882i | ||||
\(985\) | 7.11810e14 | + | 2.19073e15i | 0.0244605 | + | 0.0752816i | ||||
\(986\) | −1.29763e15 | − | 9.42781e14i | −0.0443432 | − | 0.0322172i | ||||
\(987\) | 6.73000e15 | − | 4.88963e15i | 0.228702 | − | 0.166162i | ||||
\(988\) | −4.64927e15 | + | 1.43090e16i | −0.157116 | + | 0.483554i | ||||
\(989\) | −1.29692e16 | −0.435848 | ||||||||
\(990\) | −3.63741e16 | + | 2.89873e16i | −1.21562 | + | 0.968755i | ||||
\(991\) | 4.38473e16 | 1.45726 | 0.728631 | − | 0.684906i | \(-0.240157\pi\) | ||||
0.728631 | + | 0.684906i | \(0.240157\pi\) | |||||||
\(992\) | −1.82763e15 | + | 5.62488e15i | −0.0604053 | + | 0.185908i | ||||
\(993\) | −5.40323e16 | + | 3.92568e16i | −1.77596 | + | 1.29031i | ||||
\(994\) | 4.55898e16 | + | 3.31229e16i | 1.49019 | + | 1.08269i | ||||
\(995\) | 1.70644e16 | + | 5.25189e16i | 0.554708 | + | 1.70722i | ||||
\(996\) | 6.75547e15 | + | 2.07912e16i | 0.218388 | + | 0.672130i | ||||
\(997\) | 3.98760e14 | + | 2.89716e14i | 0.0128200 | + | 0.00931429i | 0.594177 | − | 0.804334i | \(-0.297478\pi\) |
−0.581357 | + | 0.813649i | \(0.697478\pi\) | |||||||
\(998\) | 1.32620e16 | − | 9.63543e15i | 0.424026 | − | 0.308073i | ||||
\(999\) | 3.72335e16 | − | 1.14593e17i | 1.18392 | − | 3.64374i |
(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 | 22.12.c.a.9.5 | yes | 20 | |
11.4 | even | 5 | 242.12.a.n.1.1 | 10 | |||
11.5 | even | 5 | inner | 22.12.c.a.5.5 | ✓ | 20 | |
11.7 | odd | 10 | 242.12.a.m.1.1 | 10 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
22.12.c.a.5.5 | ✓ | 20 | 11.5 | even | 5 | inner | |
22.12.c.a.9.5 | yes | 20 | 1.1 | even | 1 | trivial | |
242.12.a.m.1.1 | 10 | 11.7 | odd | 10 | |||
242.12.a.n.1.1 | 10 | 11.4 | even | 5 |