Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [17,10,Mod(2,17)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(17, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([7]))
N = Newforms(chi, 10, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("17.2");
S:= CuspForms(chi, 10);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 17 \) |
Weight: | \( k \) | \(=\) | \( 10 \) |
Character orbit: | \([\chi]\) | \(=\) | 17.d (of order \(8\), 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: | \(8.75560921479\) |
Analytic rank: | \(0\) |
Dimension: | \(52\) |
Relative dimension: | \(13\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 9.8 | ||
Character | \(\chi\) | \(=\) | 17.9 |
Dual form | 17.10.d.a.2.8 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/17\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{1}{8}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 11.3845 | − | 11.3845i | 0.503130 | − | 0.503130i | −0.409279 | − | 0.912409i | \(-0.634220\pi\) |
0.912409 | + | 0.409279i | \(0.134220\pi\) | |||||||
\(3\) | −244.376 | − | 101.224i | −1.74186 | − | 0.721501i | −0.998623 | − | 0.0524686i | \(-0.983291\pi\) |
−0.743234 | − | 0.669032i | \(-0.766709\pi\) | |||||||
\(4\) | 252.785i | 0.493721i | ||||||||
\(5\) | 230.356 | − | 556.130i | 0.164830 | − | 0.397934i | −0.819786 | − | 0.572671i | \(-0.805907\pi\) |
0.984615 | + | 0.174737i | \(0.0559074\pi\) | |||||||
\(6\) | −3934.48 | + | 1629.72i | −1.23939 | + | 0.513371i | ||||
\(7\) | 406.478 | + | 981.326i | 0.0639877 | + | 0.154480i | 0.952639 | − | 0.304104i | \(-0.0983569\pi\) |
−0.888651 | + | 0.458584i | \(0.848357\pi\) | |||||||
\(8\) | 8706.72 | + | 8706.72i | 0.751535 | + | 0.751535i | ||||
\(9\) | 35555.2 | + | 35555.2i | 1.80639 | + | 1.80639i | ||||
\(10\) | −3708.77 | − | 8953.77i | −0.117282 | − | 0.283143i | ||||
\(11\) | −16492.7 | + | 6831.49i | −0.339644 | + | 0.140685i | −0.545985 | − | 0.837795i | \(-0.683844\pi\) |
0.206341 | + | 0.978480i | \(0.433844\pi\) | |||||||
\(12\) | 25587.9 | − | 61774.5i | 0.356220 | − | 0.859991i | ||||
\(13\) | 37747.5i | 0.366558i | 0.983061 | + | 0.183279i | \(0.0586712\pi\) | ||||
−0.983061 | + | 0.183279i | \(0.941329\pi\) | |||||||
\(14\) | 15799.5 | + | 6544.36i | 0.109918 | + | 0.0455293i | ||||
\(15\) | −112587. | + | 112587.i | −0.574219 | + | 0.574219i | ||||
\(16\) | 68817.6 | 0.262518 | ||||||||
\(17\) | 38251.7 | + | 342235.i | 0.111079 | + | 0.993812i | ||||
\(18\) | 809559. | 1.81770 | ||||||||
\(19\) | −121753. | + | 121753.i | −0.214333 | + | 0.214333i | −0.806105 | − | 0.591772i | \(-0.798429\pi\) |
0.591772 | + | 0.806105i | \(0.298429\pi\) | |||||||
\(20\) | 140581. | + | 58230.7i | 0.196468 | + | 0.0813799i | ||||
\(21\) | − | 280957.i | − | 0.315249i | ||||||
\(22\) | −109988. | + | 265534.i | −0.100102 | + | 0.241668i | ||||
\(23\) | −2.32978e6 | + | 965028.i | −1.73596 | + | 0.719059i | −0.736889 | + | 0.676014i | \(0.763706\pi\) |
−0.999073 | + | 0.0430449i | \(0.986294\pi\) | |||||||
\(24\) | −1.24638e6 | − | 3.00904e6i | −0.766833 | − | 1.85130i | ||||
\(25\) | 1.12485e6 | + | 1.12485e6i | 0.575924 | + | 0.575924i | ||||
\(26\) | 429737. | + | 429737.i | 0.184426 | + | 0.184426i | ||||
\(27\) | −3.09742e6 | − | 7.47782e6i | −1.12166 | − | 2.70794i | ||||
\(28\) | −248065. | + | 102752.i | −0.0762700 | + | 0.0315921i | ||||
\(29\) | 1.21523e6 | − | 2.93381e6i | 0.319055 | − | 0.770267i | −0.680249 | − | 0.732981i | \(-0.738129\pi\) |
0.999305 | − | 0.0372867i | \(-0.0118715\pi\) | |||||||
\(30\) | 2.56350e6i | 0.577813i | ||||||||
\(31\) | 6.18488e6 | + | 2.56186e6i | 1.20283 | + | 0.498227i | 0.891911 | − | 0.452210i | \(-0.149364\pi\) |
0.310916 | + | 0.950437i | \(0.399364\pi\) | |||||||
\(32\) | −3.67438e6 | + | 3.67438e6i | −0.619455 | + | 0.619455i | ||||
\(33\) | 4.72191e6 | 0.693115 | ||||||||
\(34\) | 4.33166e6 | + | 3.46070e6i | 0.555903 | + | 0.444129i | ||||
\(35\) | 639379. | 0.0720199 | ||||||||
\(36\) | −8.98784e6 | + | 8.98784e6i | −0.891855 | + | 0.891855i | ||||
\(37\) | −1.25599e7 | − | 5.20248e6i | −1.10174 | − | 0.456355i | −0.243653 | − | 0.969862i | \(-0.578346\pi\) |
−0.858085 | + | 0.513507i | \(0.828346\pi\) | |||||||
\(38\) | 2.77221e6i | 0.215675i | ||||||||
\(39\) | 3.82094e6 | − | 9.22456e6i | 0.264472 | − | 0.638491i | ||||
\(40\) | 6.84771e6 | − | 2.83641e6i | 0.422937 | − | 0.175186i | ||||
\(41\) | 9.84536e6 | + | 2.37688e7i | 0.544132 | + | 1.31365i | 0.921784 | + | 0.387703i | \(0.126731\pi\) |
−0.377652 | + | 0.925947i | \(0.623269\pi\) | |||||||
\(42\) | −3.19857e6 | − | 3.19857e6i | −0.158611 | − | 0.158611i | ||||
\(43\) | 1.15353e7 | + | 1.15353e7i | 0.514541 | + | 0.514541i | 0.915915 | − | 0.401373i | \(-0.131467\pi\) |
−0.401373 | + | 0.915915i | \(0.631467\pi\) | |||||||
\(44\) | −1.72690e6 | − | 4.16910e6i | −0.0694592 | − | 0.167689i | ||||
\(45\) | 2.79637e7 | − | 1.15829e7i | 1.01657 | − | 0.421078i | ||||
\(46\) | −1.55371e7 | + | 3.75099e7i | −0.511634 | + | 1.23519i | ||||
\(47\) | 4.00867e6i | 0.119828i | 0.998204 | + | 0.0599142i | \(0.0190827\pi\) | ||||
−0.998204 | + | 0.0599142i | \(0.980917\pi\) | |||||||
\(48\) | −1.68174e7 | − | 6.96598e6i | −0.457269 | − | 0.189407i | ||||
\(49\) | 2.77365e7 | − | 2.77365e7i | 0.687337 | − | 0.687337i | ||||
\(50\) | 2.56118e7 | 0.579529 | ||||||||
\(51\) | 2.52945e7 | − | 8.75058e7i | 0.523553 | − | 1.81122i | ||||
\(52\) | −9.54200e6 | −0.180977 | ||||||||
\(53\) | −6.96125e7 | + | 6.96125e7i | −1.21184 | + | 1.21184i | −0.241422 | + | 0.970420i | \(0.577614\pi\) |
−0.970420 | + | 0.241422i | \(0.922386\pi\) | |||||||
\(54\) | −1.20394e8 | − | 4.98689e7i | −1.92679 | − | 0.798101i | ||||
\(55\) | 1.07457e7i | 0.158345i | ||||||||
\(56\) | −5.00503e6 | + | 1.20832e7i | −0.0680081 | + | 0.164186i | ||||
\(57\) | 4.20778e7 | − | 1.74292e7i | 0.527979 | − | 0.218696i | ||||
\(58\) | −1.95653e7 | − | 4.72348e7i | −0.227018 | − | 0.548071i | ||||
\(59\) | −5.73464e7 | − | 5.73464e7i | −0.616130 | − | 0.616130i | 0.328406 | − | 0.944537i | \(-0.393488\pi\) |
−0.944537 | + | 0.328406i | \(0.893488\pi\) | |||||||
\(60\) | −2.84603e7 | − | 2.84603e7i | −0.283504 | − | 0.283504i | ||||
\(61\) | 3.33754e7 | + | 8.05753e7i | 0.308633 | + | 0.745106i | 0.999750 | + | 0.0223628i | \(0.00711888\pi\) |
−0.691117 | + | 0.722743i | \(0.742881\pi\) | |||||||
\(62\) | 9.95774e7 | − | 4.12463e7i | 0.855851 | − | 0.354505i | ||||
\(63\) | −2.04388e7 | + | 4.93437e7i | −0.163465 | + | 0.394638i | ||||
\(64\) | 1.18897e8i | 0.885850i | ||||||||
\(65\) | 2.09925e7 | + | 8.69537e6i | 0.145866 | + | 0.0604196i | ||||
\(66\) | 5.37568e7 | − | 5.37568e7i | 0.348727 | − | 0.348727i | ||||
\(67\) | −1.58490e8 | −0.960872 | −0.480436 | − | 0.877030i | \(-0.659522\pi\) | ||||
−0.480436 | + | 0.877030i | \(0.659522\pi\) | |||||||
\(68\) | −8.65119e7 | + | 9.66945e6i | −0.490666 | + | 0.0548418i | ||||
\(69\) | 6.67026e8 | 3.54260 | ||||||||
\(70\) | 7.27903e6 | − | 7.27903e6i | 0.0362353 | − | 0.0362353i | ||||
\(71\) | −2.24828e8 | − | 9.31270e7i | −1.05000 | − | 0.434923i | −0.210107 | − | 0.977678i | \(-0.567381\pi\) |
−0.839891 | + | 0.542755i | \(0.817381\pi\) | |||||||
\(72\) | 6.19139e8i | 2.71514i | ||||||||
\(73\) | 1.42015e8 | − | 3.42853e8i | 0.585302 | − | 1.41304i | −0.302648 | − | 0.953102i | \(-0.597871\pi\) |
0.887950 | − | 0.459941i | \(-0.152129\pi\) | |||||||
\(74\) | −2.02216e8 | + | 8.37608e7i | −0.783923 | + | 0.324712i | ||||
\(75\) | −1.61025e8 | − | 3.88748e8i | −0.587648 | − | 1.41871i | ||||
\(76\) | −3.07774e7 | − | 3.07774e7i | −0.105821 | − | 0.105821i | ||||
\(77\) | −1.34078e7 | − | 1.34078e7i | −0.0434660 | − | 0.0434660i | ||||
\(78\) | −6.15177e7 | − | 1.48517e8i | −0.188180 | − | 0.454308i | ||||
\(79\) | −1.55554e8 | + | 6.44326e7i | −0.449324 | + | 0.186116i | −0.595858 | − | 0.803090i | \(-0.703188\pi\) |
0.146535 | + | 0.989206i | \(0.453188\pi\) | |||||||
\(80\) | 1.58526e7 | − | 3.82715e7i | 0.0432708 | − | 0.104465i | ||||
\(81\) | 1.15122e9i | 2.97149i | ||||||||
\(82\) | 3.82681e8 | + | 1.58512e8i | 0.934706 | + | 0.387168i | ||||
\(83\) | 3.88860e8 | − | 3.88860e8i | 0.899376 | − | 0.899376i | −0.0960046 | − | 0.995381i | \(-0.530606\pi\) |
0.995381 | + | 0.0960046i | \(0.0306063\pi\) | |||||||
\(84\) | 7.10219e7 | 0.155645 | ||||||||
\(85\) | 1.99138e8 | + | 5.75631e7i | 0.413780 | + | 0.119608i | ||||
\(86\) | 2.62648e8 | 0.517762 | ||||||||
\(87\) | −5.93943e8 | + | 5.93943e8i | −1.11150 | + | 1.11150i | ||||
\(88\) | −2.03077e8 | − | 8.41171e7i | −0.360984 | − | 0.149525i | ||||
\(89\) | − | 1.54695e8i | − | 0.261349i | −0.991425 | − | 0.130675i | \(-0.958286\pi\) | ||
0.991425 | − | 0.130675i | \(-0.0417143\pi\) | |||||||
\(90\) | 1.86487e8 | − | 4.50220e8i | 0.299611 | − | 0.723325i | ||||
\(91\) | −3.70426e7 | + | 1.53435e7i | −0.0566258 | + | 0.0234552i | ||||
\(92\) | −2.43945e8 | − | 5.88935e8i | −0.355015 | − | 0.857081i | ||||
\(93\) | −1.25211e9 | − | 1.25211e9i | −1.73568 | − | 1.73568i | ||||
\(94\) | 4.56368e7 | + | 4.56368e7i | 0.0602892 | + | 0.0602892i | ||||
\(95\) | 3.96639e7 | + | 9.57572e7i | 0.0499620 | + | 0.120619i | ||||
\(96\) | 1.26986e9 | − | 5.25995e8i | 1.52594 | − | 0.632064i | ||||
\(97\) | −2.98032e8 | + | 7.19512e8i | −0.341814 | + | 0.825211i | 0.655719 | + | 0.755005i | \(0.272366\pi\) |
−0.997533 | + | 0.0702062i | \(0.977634\pi\) | |||||||
\(98\) | − | 6.31535e8i | − | 0.691639i | ||||||
\(99\) | −8.29296e8 | − | 3.43506e8i | −0.867663 | − | 0.359398i | ||||
\(100\) | −2.84346e8 | + | 2.84346e8i | −0.284346 | + | 0.284346i | ||||
\(101\) | 6.39144e7 | 0.0611157 | 0.0305578 | − | 0.999533i | \(-0.490272\pi\) | ||||
0.0305578 | + | 0.999533i | \(0.490272\pi\) | |||||||
\(102\) | −7.08247e8 | − | 1.28418e9i | −0.647864 | − | 1.17469i | ||||
\(103\) | −6.02387e8 | −0.527361 | −0.263681 | − | 0.964610i | \(-0.584936\pi\) | ||||
−0.263681 | + | 0.964610i | \(0.584936\pi\) | |||||||
\(104\) | −3.28656e8 | + | 3.28656e8i | −0.275481 | + | 0.275481i | ||||
\(105\) | −1.56249e8 | − | 6.47203e7i | −0.125448 | − | 0.0519624i | ||||
\(106\) | 1.58501e9i | 1.21943i | ||||||||
\(107\) | 2.23017e8 | − | 5.38411e8i | 0.164479 | − | 0.397088i | −0.820054 | − | 0.572286i | \(-0.806057\pi\) |
0.984533 | + | 0.175198i | \(0.0560566\pi\) | |||||||
\(108\) | 1.89028e9 | − | 7.82981e8i | 1.33696 | − | 0.553789i | ||||
\(109\) | 8.34500e8 | + | 2.01466e9i | 0.566249 | + | 1.36705i | 0.904695 | + | 0.426060i | \(0.140099\pi\) |
−0.338446 | + | 0.940986i | \(0.609901\pi\) | |||||||
\(110\) | 1.22335e8 | + | 1.22335e8i | 0.0796680 | + | 0.0796680i | ||||
\(111\) | 2.54272e9 | + | 2.54272e9i | 1.58981 | + | 1.58981i | ||||
\(112\) | 2.79729e7 | + | 6.75325e7i | 0.0167979 | + | 0.0405538i | ||||
\(113\) | 8.73654e8 | − | 3.61879e8i | 0.504065 | − | 0.208791i | −0.116136 | − | 0.993233i | \(-0.537051\pi\) |
0.620201 | + | 0.784443i | \(0.287051\pi\) | |||||||
\(114\) | 2.80613e8 | − | 6.77459e8i | 0.155609 | − | 0.375674i | ||||
\(115\) | 1.51796e9i | 0.809320i | ||||||||
\(116\) | 7.41625e8 | + | 3.07191e8i | 0.380297 | + | 0.157524i | ||||
\(117\) | −1.34212e9 | + | 1.34212e9i | −0.662148 | + | 0.662148i | ||||
\(118\) | −1.30572e9 | −0.619987 | ||||||||
\(119\) | −3.20295e8 | + | 1.76648e8i | −0.146416 | + | 0.0807511i | ||||
\(120\) | −1.96053e9 | −0.863092 | ||||||||
\(121\) | −1.44198e9 | + | 1.44198e9i | −0.611541 | + | 0.611541i | ||||
\(122\) | 1.29727e9 | + | 5.37349e8i | 0.530167 | + | 0.219602i | ||||
\(123\) | − | 6.80510e9i | − | 2.68078i | ||||||
\(124\) | −6.47600e8 | + | 1.56344e9i | −0.245985 | + | 0.593861i | ||||
\(125\) | 1.97087e9 | − | 8.16362e8i | 0.722043 | − | 0.299080i | ||||
\(126\) | 3.29068e8 | + | 7.94441e8i | 0.116310 | + | 0.280798i | ||||
\(127\) | 1.00073e9 | + | 1.00073e9i | 0.341351 | + | 0.341351i | 0.856875 | − | 0.515524i | \(-0.172403\pi\) |
−0.515524 | + | 0.856875i | \(0.672403\pi\) | |||||||
\(128\) | −5.27700e8 | − | 5.27700e8i | −0.173757 | − | 0.173757i | ||||
\(129\) | −1.65130e9 | − | 3.98659e9i | −0.525015 | − | 1.26750i | ||||
\(130\) | 3.37982e8 | − | 1.39997e8i | 0.103788 | − | 0.0429905i | ||||
\(131\) | 4.80636e8 | − | 1.16036e9i | 0.142592 | − | 0.344248i | −0.836408 | − | 0.548107i | \(-0.815349\pi\) |
0.979000 | + | 0.203860i | \(0.0653486\pi\) | |||||||
\(132\) | 1.19363e9i | 0.342206i | ||||||||
\(133\) | −1.68970e8 | − | 6.99895e7i | −0.0468248 | − | 0.0193955i | ||||
\(134\) | −1.80434e9 | + | 1.80434e9i | −0.483443 | + | 0.483443i | ||||
\(135\) | −4.87215e9 | −1.26246 | ||||||||
\(136\) | −2.64670e9 | + | 3.31279e9i | −0.663405 | + | 0.830364i | ||||
\(137\) | 3.60544e9 | 0.874410 | 0.437205 | − | 0.899362i | \(-0.355968\pi\) | ||||
0.437205 | + | 0.899362i | \(0.355968\pi\) | |||||||
\(138\) | 7.59377e9 | − | 7.59377e9i | 1.78239 | − | 1.78239i | ||||
\(139\) | 5.17477e9 | + | 2.14346e9i | 1.17578 | + | 0.487022i | 0.883098 | − | 0.469189i | \(-0.155454\pi\) |
0.292678 | + | 0.956211i | \(0.405454\pi\) | |||||||
\(140\) | 1.61626e8i | 0.0355577i | ||||||||
\(141\) | 4.05772e8 | − | 9.79621e8i | 0.0864562 | − | 0.208724i | ||||
\(142\) | −3.61977e9 | + | 1.49936e9i | −0.747108 | + | 0.309462i | ||||
\(143\) | −2.57871e8 | − | 6.22556e8i | −0.0515692 | − | 0.124499i | ||||
\(144\) | 2.44683e9 | + | 2.44683e9i | 0.474212 | + | 0.474212i | ||||
\(145\) | −1.35165e9 | − | 1.35165e9i | −0.253926 | − | 0.253926i | ||||
\(146\) | −2.28645e9 | − | 5.51999e9i | −0.416461 | − | 1.00543i | ||||
\(147\) | −9.58573e9 | + | 3.97054e9i | −1.69316 | + | 0.701328i | ||||
\(148\) | 1.31511e9 | − | 3.17496e9i | 0.225312 | − | 0.543952i | ||||
\(149\) | − | 4.65102e9i | − | 0.773054i | −0.922278 | − | 0.386527i | \(-0.873675\pi\) | ||
0.922278 | − | 0.386527i | \(-0.126325\pi\) | |||||||
\(150\) | −6.25890e9 | − | 2.59252e9i | −1.00946 | − | 0.418130i | ||||
\(151\) | −1.03891e9 | + | 1.03891e9i | −0.162622 | + | 0.162622i | −0.783727 | − | 0.621105i | \(-0.786684\pi\) |
0.621105 | + | 0.783727i | \(0.286684\pi\) | |||||||
\(152\) | −2.12014e9 | −0.322158 | ||||||||
\(153\) | −1.08082e10 | + | 1.35283e10i | −1.59456 | + | 1.99587i | ||||
\(154\) | −3.05283e8 | −0.0437381 | ||||||||
\(155\) | 2.84945e9 | − | 2.84945e9i | 0.396523 | − | 0.396523i | ||||
\(156\) | 2.33183e9 | + | 9.65877e8i | 0.315237 | + | 0.130575i | ||||
\(157\) | − | 1.92308e9i | − | 0.252608i | −0.991992 | − | 0.126304i | \(-0.959688\pi\) | ||
0.991992 | − | 0.126304i | \(-0.0403115\pi\) | |||||||
\(158\) | −1.03737e9 | + | 2.50444e9i | −0.132428 | + | 0.319709i | ||||
\(159\) | 2.40581e10 | − | 9.96517e9i | 2.98520 | − | 1.23651i | ||||
\(160\) | 1.19702e9 | + | 2.88985e9i | 0.144398 | + | 0.348607i | ||||
\(161\) | −1.89401e9 | − | 1.89401e9i | −0.222160 | − | 0.222160i | ||||
\(162\) | 1.31060e10 | + | 1.31060e10i | 1.49504 | + | 1.49504i | ||||
\(163\) | 3.22205e9 | + | 7.77873e9i | 0.357510 | + | 0.863106i | 0.995649 | + | 0.0931848i | \(0.0297047\pi\) |
−0.638138 | + | 0.769922i | \(0.720295\pi\) | |||||||
\(164\) | −6.00840e9 | + | 2.48876e9i | −0.648577 | + | 0.268649i | ||||
\(165\) | 1.08772e9 | − | 2.62600e9i | 0.114246 | − | 0.275814i | ||||
\(166\) | − | 8.85396e9i | − | 0.905006i | ||||||
\(167\) | −1.59918e9 | − | 6.62402e8i | −0.159101 | − | 0.0659018i | 0.301712 | − | 0.953399i | \(-0.402442\pi\) |
−0.460813 | + | 0.887497i | \(0.652442\pi\) | |||||||
\(168\) | 2.44622e9 | − | 2.44622e9i | 0.236921 | − | 0.236921i | ||||
\(169\) | 9.17963e9 | 0.865635 | ||||||||
\(170\) | 2.92243e9 | − | 1.61177e9i | 0.268363 | − | 0.148007i | ||||
\(171\) | −8.65793e9 | −0.774340 | ||||||||
\(172\) | −2.91595e9 | + | 2.91595e9i | −0.254040 | + | 0.254040i | ||||
\(173\) | −2.34730e9 | − | 9.72282e8i | −0.199233 | − | 0.0825249i | 0.280836 | − | 0.959756i | \(-0.409388\pi\) |
−0.480069 | + | 0.877231i | \(0.659388\pi\) | |||||||
\(174\) | 1.35235e10i | 1.11845i | ||||||||
\(175\) | −6.46618e8 | + | 1.56107e9i | −0.0521167 | + | 0.125821i | ||||
\(176\) | −1.13499e9 | + | 4.70127e8i | −0.0891628 | + | 0.0369324i | ||||
\(177\) | 8.20925e9 | + | 1.98189e10i | 0.628672 | + | 1.51775i | ||||
\(178\) | −1.76113e9 | − | 1.76113e9i | −0.131492 | − | 0.131492i | ||||
\(179\) | −2.65604e9 | − | 2.65604e9i | −0.193373 | − | 0.193373i | 0.603779 | − | 0.797152i | \(-0.293661\pi\) |
−0.797152 | + | 0.603779i | \(0.793661\pi\) | |||||||
\(180\) | 2.92800e9 | + | 7.06881e9i | 0.207895 | + | 0.501903i | ||||
\(181\) | 1.07196e10 | − | 4.44020e9i | 0.742377 | − | 0.307503i | 0.0207499 | − | 0.999785i | \(-0.493395\pi\) |
0.721627 | + | 0.692282i | \(0.243395\pi\) | |||||||
\(182\) | −2.47033e8 | + | 5.96391e8i | −0.0166891 | + | 0.0402911i | ||||
\(183\) | − | 2.30690e10i | − | 1.52055i | ||||||
\(184\) | −2.86870e10 | − | 1.18825e10i | −1.84504 | − | 0.764239i | ||||
\(185\) | −5.78651e9 | + | 5.78651e9i | −0.363198 | + | 0.363198i | ||||
\(186\) | −2.85094e10 | −1.74655 | ||||||||
\(187\) | −2.96884e9 | − | 5.38305e9i | −0.177542 | − | 0.321915i | ||||
\(188\) | −1.01333e9 | −0.0591618 | ||||||||
\(189\) | 6.07915e9 | − | 6.07915e9i | 0.346549 | − | 0.346549i | ||||
\(190\) | 1.54171e9 | + | 6.38595e8i | 0.0858243 | + | 0.0355496i | ||||
\(191\) | 6.16084e9i | 0.334958i | 0.985876 | + | 0.167479i | \(0.0535626\pi\) | ||||
−0.985876 | + | 0.167479i | \(0.946437\pi\) | |||||||
\(192\) | 1.20352e10 | − | 2.90555e10i | 0.639142 | − | 1.54302i | ||||
\(193\) | 5.12876e9 | − | 2.12440e9i | 0.266075 | − | 0.110212i | −0.245658 | − | 0.969357i | \(-0.579004\pi\) |
0.511733 | + | 0.859145i | \(0.329004\pi\) | |||||||
\(194\) | 4.79835e9 | + | 1.15843e10i | 0.243212 | + | 0.587165i | ||||
\(195\) | −4.24987e9 | − | 4.24987e9i | −0.210485 | − | 0.210485i | ||||
\(196\) | 7.01138e9 | + | 7.01138e9i | 0.339353 | + | 0.339353i | ||||
\(197\) | −7.32318e8 | − | 1.76797e9i | −0.0346419 | − | 0.0836329i | 0.905612 | − | 0.424108i | \(-0.139412\pi\) |
−0.940254 | + | 0.340475i | \(0.889412\pi\) | |||||||
\(198\) | −1.33518e10 | + | 5.53049e9i | −0.617371 | + | 0.255723i | ||||
\(199\) | 8.95469e9 | − | 2.16185e10i | 0.404773 | − | 0.977209i | −0.581717 | − | 0.813391i | \(-0.697619\pi\) |
0.986491 | − | 0.163818i | \(-0.0523810\pi\) | |||||||
\(200\) | 1.95875e10i | 0.865655i | ||||||||
\(201\) | 3.87311e10 | + | 1.60430e10i | 1.67370 | + | 0.693270i | ||||
\(202\) | 7.27635e8 | − | 7.27635e8i | 0.0307491 | − | 0.0307491i | ||||
\(203\) | 3.37299e9 | 0.139406 | ||||||||
\(204\) | 2.21202e10 | + | 6.39408e9i | 0.894238 | + | 0.258489i | ||||
\(205\) | 1.54865e10 | 0.612435 | ||||||||
\(206\) | −6.85789e9 | + | 6.85789e9i | −0.265331 | + | 0.265331i | ||||
\(207\) | −1.17148e11 | − | 4.85242e10i | −4.43473 | − | 1.83693i | ||||
\(208\) | 2.59769e9i | 0.0962282i | ||||||||
\(209\) | 1.17628e9 | − | 2.83979e9i | 0.0426434 | − | 0.102950i | ||||
\(210\) | −2.51563e9 | + | 1.04201e9i | −0.0892606 | + | 0.0369729i | ||||
\(211\) | −6.15326e9 | − | 1.48553e10i | −0.213715 | − | 0.515953i | 0.780274 | − | 0.625438i | \(-0.215080\pi\) |
−0.993988 | + | 0.109485i | \(0.965080\pi\) | |||||||
\(212\) | −1.75970e10 | − | 1.75970e10i | −0.598312 | − | 0.598312i | ||||
\(213\) | 4.55159e10 | + | 4.55159e10i | 1.51515 | + | 1.51515i | ||||
\(214\) | −3.59061e9 | − | 8.66850e9i | −0.117032 | − | 0.282541i | ||||
\(215\) | 9.07234e9 | − | 3.75789e9i | 0.289565 | − | 0.119942i | ||||
\(216\) | 3.81390e10 | − | 9.20756e10i | 1.19214 | − | 2.87808i | ||||
\(217\) | 7.11072e9i | 0.217693i | ||||||||
\(218\) | 3.24364e10 | + | 1.34356e10i | 0.972698 | + | 0.402905i | ||||
\(219\) | −6.94098e10 | + | 6.94098e10i | −2.03902 | + | 2.03902i | ||||
\(220\) | −2.71636e9 | −0.0781782 | ||||||||
\(221\) | −1.29185e10 | + | 1.44390e9i | −0.364290 | + | 0.0407167i | ||||
\(222\) | 5.78953e10 | 1.59976 | ||||||||
\(223\) | −6.28115e9 | + | 6.28115e9i | −0.170085 | + | 0.170085i | −0.787017 | − | 0.616931i | \(-0.788376\pi\) |
0.616931 | + | 0.787017i | \(0.288376\pi\) | |||||||
\(224\) | −5.09932e9 | − | 2.11221e9i | −0.135331 | − | 0.0560558i | ||||
\(225\) | 7.99888e10i | 2.08069i | ||||||||
\(226\) | 5.82631e9 | − | 1.40660e10i | 0.148561 | − | 0.358659i | ||||
\(227\) | −3.68481e10 | + | 1.52630e10i | −0.921082 | + | 0.381525i | −0.792289 | − | 0.610147i | \(-0.791111\pi\) |
−0.128794 | + | 0.991671i | \(0.541111\pi\) | |||||||
\(228\) | 4.40585e9 | + | 1.06367e10i | 0.107975 | + | 0.260674i | ||||
\(229\) | 1.95651e10 | + | 1.95651e10i | 0.470135 | + | 0.470135i | 0.901958 | − | 0.431823i | \(-0.142129\pi\) |
−0.431823 | + | 0.901958i | \(0.642129\pi\) | |||||||
\(230\) | 1.72813e10 | + | 1.72813e10i | 0.407193 | + | 0.407193i | ||||
\(231\) | 1.91936e9 | + | 4.63374e9i | 0.0443508 | + | 0.107072i | ||||
\(232\) | 3.61245e10 | − | 1.49633e10i | 0.818665 | − | 0.339102i | ||||
\(233\) | −1.75448e10 | + | 4.23568e10i | −0.389983 | + | 0.941503i | 0.599959 | + | 0.800031i | \(0.295184\pi\) |
−0.989942 | + | 0.141472i | \(0.954816\pi\) | |||||||
\(234\) | 3.05588e10i | 0.666293i | ||||||||
\(235\) | 2.22934e9 | + | 9.23422e8i | 0.0476838 | + | 0.0197513i | ||||
\(236\) | 1.44963e10 | − | 1.44963e10i | 0.304196 | − | 0.304196i | ||||
\(237\) | 4.45357e10 | 0.916940 | ||||||||
\(238\) | −1.63535e9 | + | 5.65747e9i | −0.0330381 | + | 0.114295i | ||||
\(239\) | 7.50699e10 | 1.48825 | 0.744124 | − | 0.668041i | \(-0.232867\pi\) | ||||
0.744124 | + | 0.668041i | \(0.232867\pi\) | |||||||
\(240\) | −7.74797e9 | + | 7.74797e9i | −0.150743 | + | 0.150743i | ||||
\(241\) | −5.65003e10 | − | 2.34032e10i | −1.07888 | − | 0.446887i | −0.228765 | − | 0.973482i | \(-0.573469\pi\) |
−0.850117 | + | 0.526594i | \(0.823469\pi\) | |||||||
\(242\) | 3.28326e10i | 0.615369i | ||||||||
\(243\) | 5.55639e10 | − | 1.34143e11i | 1.02227 | − | 2.46797i | ||||
\(244\) | −2.03682e10 | + | 8.43680e9i | −0.367874 | + | 0.152379i | ||||
\(245\) | −9.03582e9 | − | 2.18144e10i | −0.160221 | − | 0.386808i | ||||
\(246\) | −7.74728e10 | − | 7.74728e10i | −1.34878 | − | 1.34878i | ||||
\(247\) | −4.59588e9 | − | 4.59588e9i | −0.0785655 | − | 0.0785655i | ||||
\(248\) | 3.15446e10 | + | 7.61553e10i | 0.529532 | + | 1.27840i | ||||
\(249\) | −1.34390e11 | + | 5.56660e10i | −2.21548 | + | 0.917684i | ||||
\(250\) | 1.31435e10 | − | 3.17313e10i | 0.212805 | − | 0.513757i | ||||
\(251\) | − | 8.75084e10i | − | 1.39161i | −0.718230 | − | 0.695806i | \(-0.755047\pi\) | ||
0.718230 | − | 0.695806i | \(-0.244953\pi\) | |||||||
\(252\) | −1.24734e10 | − | 5.16663e9i | −0.194841 | − | 0.0807059i | ||||
\(253\) | 3.18318e10 | − | 3.18318e10i | 0.488448 | − | 0.488448i | ||||
\(254\) | 2.27857e10 | 0.343488 | ||||||||
\(255\) | −4.28378e10 | − | 3.42246e10i | −0.634449 | − | 0.506882i | ||||
\(256\) | −7.28904e10 | −1.06069 | ||||||||
\(257\) | −1.92352e10 | + | 1.92352e10i | −0.275042 | + | 0.275042i | −0.831126 | − | 0.556084i | \(-0.812303\pi\) |
0.556084 | + | 0.831126i | \(0.312303\pi\) | |||||||
\(258\) | −6.41847e10 | − | 2.65862e10i | −0.901867 | − | 0.373566i | ||||
\(259\) | − | 1.44401e10i | − | 0.199398i | ||||||
\(260\) | −2.19806e9 | + | 5.30659e9i | −0.0298304 | + | 0.0720171i | ||||
\(261\) | 1.47520e11 | − | 6.11048e10i | 1.96775 | − | 0.815067i | ||||
\(262\) | −7.73831e9 | − | 1.86819e10i | −0.101459 | − | 0.244943i | ||||
\(263\) | −1.91003e10 | − | 1.91003e10i | −0.246172 | − | 0.246172i | 0.573226 | − | 0.819397i | \(-0.305692\pi\) |
−0.819397 | + | 0.573226i | \(0.805692\pi\) | |||||||
\(264\) | 4.11124e10 | + | 4.11124e10i | 0.520901 | + | 0.520901i | ||||
\(265\) | 2.26779e10 | + | 5.47493e10i | 0.282486 | + | 0.681981i | ||||
\(266\) | −2.72044e9 | + | 1.12684e9i | −0.0333174 | + | 0.0138005i | ||||
\(267\) | −1.56588e10 | + | 3.78037e10i | −0.188563 | + | 0.455233i | ||||
\(268\) | − | 4.00640e10i | − | 0.474403i | ||||||
\(269\) | −8.31004e10 | − | 3.44213e10i | −0.967649 | − | 0.400813i | −0.157813 | − | 0.987469i | \(-0.550444\pi\) |
−0.809837 | + | 0.586656i | \(0.800444\pi\) | |||||||
\(270\) | −5.54671e10 | + | 5.54671e10i | −0.635183 | + | 0.635183i | ||||
\(271\) | −8.44887e9 | −0.0951561 | −0.0475781 | − | 0.998868i | \(-0.515150\pi\) | ||||
−0.0475781 | + | 0.998868i | \(0.515150\pi\) | |||||||
\(272\) | 2.63239e9 | + | 2.35518e10i | 0.0291602 | + | 0.260894i | ||||
\(273\) | 1.06054e10 | 0.115557 | ||||||||
\(274\) | 4.10462e10 | − | 4.10462e10i | 0.439942 | − | 0.439942i | ||||
\(275\) | −2.62362e10 | − | 1.08674e10i | −0.276633 | − | 0.114585i | ||||
\(276\) | 1.68614e11i | 1.74905i | ||||||||
\(277\) | 5.92947e10 | − | 1.43150e11i | 0.605141 | − | 1.46094i | −0.263086 | − | 0.964772i | \(-0.584740\pi\) |
0.868227 | − | 0.496167i | \(-0.165260\pi\) | |||||||
\(278\) | 8.33146e10 | − | 3.45100e10i | 0.836603 | − | 0.346532i | ||||
\(279\) | 1.28817e11 | + | 3.10992e11i | 1.27278 | + | 3.07277i | ||||
\(280\) | 5.56689e9 | + | 5.56689e9i | 0.0541255 | + | 0.0541255i | ||||
\(281\) | 7.27285e10 | + | 7.27285e10i | 0.695867 | + | 0.695867i | 0.963516 | − | 0.267649i | \(-0.0862468\pi\) |
−0.267649 | + | 0.963516i | \(0.586247\pi\) | |||||||
\(282\) | −6.53299e9 | − | 1.57720e10i | −0.0615164 | − | 0.148514i | ||||
\(283\) | 2.35064e10 | − | 9.73667e9i | 0.217845 | − | 0.0902343i | −0.271092 | − | 0.962553i | \(-0.587385\pi\) |
0.488937 | + | 0.872319i | \(0.337385\pi\) | |||||||
\(284\) | 2.35411e10 | − | 5.68333e10i | 0.214731 | − | 0.518406i | ||||
\(285\) | − | 2.74157e10i | − | 0.246148i | ||||||
\(286\) | −1.00232e10 | − | 4.15177e9i | −0.0885852 | − | 0.0366932i | ||||
\(287\) | −1.93230e10 | + | 1.93230e10i | −0.168115 | + | 0.168115i | ||||
\(288\) | −2.61287e11 | −2.23796 | ||||||||
\(289\) | −1.15661e11 | + | 2.61821e10i | −0.975323 | + | 0.220782i | ||||
\(290\) | −3.07757e10 | −0.255515 | ||||||||
\(291\) | 1.45663e11 | − | 1.45663e11i | 1.19078 | − | 1.19078i | ||||
\(292\) | 8.66682e10 | + | 3.58992e10i | 0.697649 | + | 0.288976i | ||||
\(293\) | − | 1.48532e11i | − | 1.17737i | −0.808361 | − | 0.588687i | \(-0.799645\pi\) | ||
0.808361 | − | 0.588687i | \(-0.200355\pi\) | |||||||
\(294\) | −6.39263e10 | + | 1.54332e11i | −0.499018 | + | 1.20474i | ||||
\(295\) | −4.51022e10 | + | 1.86819e10i | −0.346736 | + | 0.143623i | ||||
\(296\) | −6.40590e10 | − | 1.54652e11i | −0.485029 | − | 1.17096i | ||||
\(297\) | 1.02169e11 | + | 1.02169e11i | 0.761932 | + | 0.761932i | ||||
\(298\) | −5.29496e10 | − | 5.29496e10i | −0.388946 | − | 0.388946i | ||||
\(299\) | −3.64273e10 | − | 8.79434e10i | −0.263577 | − | 0.636331i | ||||
\(300\) | 9.82698e10 | − | 4.07047e10i | 0.700445 | − | 0.290134i | ||||
\(301\) | −6.63103e9 | + | 1.60087e10i | −0.0465620 | + | 0.112411i | ||||
\(302\) | 2.36549e10i | 0.163640i | ||||||||
\(303\) | −1.56191e10 | − | 6.46966e9i | −0.106455 | − | 0.0440950i | ||||
\(304\) | −8.37877e9 | + | 8.37877e9i | −0.0562664 | + | 0.0562664i | ||||
\(305\) | 5.24986e10 | 0.347375 | ||||||||
\(306\) | 3.09670e10 | + | 2.77059e11i | 0.201908 | + | 1.80645i | ||||
\(307\) | 1.71702e11 | 1.10320 | 0.551599 | − | 0.834110i | \(-0.314018\pi\) | ||||
0.551599 | + | 0.834110i | \(0.314018\pi\) | |||||||
\(308\) | 3.38930e9 | − | 3.38930e9i | 0.0214601 | − | 0.0214601i | ||||
\(309\) | 1.47209e11 | + | 6.09759e10i | 0.918587 | + | 0.380491i | ||||
\(310\) | − | 6.48793e10i | − | 0.399005i | ||||||
\(311\) | −1.06649e11 | + | 2.57474e11i | −0.646451 | + | 1.56067i | 0.171376 | + | 0.985206i | \(0.445179\pi\) |
−0.817827 | + | 0.575464i | \(0.804821\pi\) | |||||||
\(312\) | 1.13583e11 | − | 4.70478e10i | 0.678609 | − | 0.281089i | ||||
\(313\) | 4.28006e9 | + | 1.03330e10i | 0.0252058 | + | 0.0608522i | 0.935981 | − | 0.352050i | \(-0.114515\pi\) |
−0.910775 | + | 0.412902i | \(0.864515\pi\) | |||||||
\(314\) | −2.18933e10 | − | 2.18933e10i | −0.127095 | − | 0.127095i | ||||
\(315\) | 2.27333e10 | + | 2.27333e10i | 0.130096 | + | 0.130096i | ||||
\(316\) | −1.62876e10 | − | 3.93218e10i | −0.0918894 | − | 0.221841i | ||||
\(317\) | −1.58439e11 | + | 6.56275e10i | −0.881241 | + | 0.365022i | −0.776978 | − | 0.629528i | \(-0.783248\pi\) |
−0.104263 | + | 0.994550i | \(0.533248\pi\) | |||||||
\(318\) | 1.60441e11 | − | 3.87338e11i | 0.879818 | − | 2.12407i | ||||
\(319\) | 5.66882e10i | 0.306503i | ||||||||
\(320\) | 6.61221e10 | + | 2.73887e10i | 0.352510 | + | 0.146014i | ||||
\(321\) | −1.09000e11 | + | 1.09000e11i | −0.572999 | + | 0.572999i | ||||
\(322\) | −4.31249e10 | −0.223551 | ||||||||
\(323\) | −4.63255e10 | − | 3.70109e10i | −0.236815 | − | 0.189199i | ||||
\(324\) | −2.91010e11 | −1.46709 | ||||||||
\(325\) | −4.24603e10 | + | 4.24603e10i | −0.211110 | + | 0.211110i | ||||
\(326\) | 1.25239e11 | + | 5.18756e10i | 0.614129 | + | 0.254380i | ||||
\(327\) | − | 5.76806e11i | − | 2.78975i | ||||||
\(328\) | −1.21227e11 | + | 2.92669e11i | −0.578321 | + | 1.39619i | ||||
\(329\) | −3.93381e9 | + | 1.62944e9i | −0.0185111 | + | 0.00766754i | ||||
\(330\) | −1.75125e10 | − | 4.22789e10i | −0.0812897 | − | 0.196251i | ||||
\(331\) | 1.98535e11 | + | 1.98535e11i | 0.909100 | + | 0.909100i | 0.996200 | − | 0.0870996i | \(-0.0277599\pi\) |
−0.0870996 | + | 0.996200i | \(0.527760\pi\) | |||||||
\(332\) | 9.82980e10 | + | 9.82980e10i | 0.444041 | + | 0.444041i | ||||
\(333\) | −2.61595e11 | − | 6.31546e11i | −1.16582 | − | 2.81453i | ||||
\(334\) | −2.57470e10 | + | 1.06648e10i | −0.113206 | + | 0.0468913i | ||||
\(335\) | −3.65092e10 | + | 8.81411e10i | −0.158380 | + | 0.382364i | ||||
\(336\) | − | 1.93348e10i | − | 0.0827587i | ||||||
\(337\) | −3.85384e11 | − | 1.59631e11i | −1.62764 | − | 0.674192i | −0.632678 | − | 0.774415i | \(-0.718044\pi\) |
−0.994965 | + | 0.100223i | \(0.968044\pi\) | |||||||
\(338\) | 1.04506e11 | − | 1.04506e11i | 0.435527 | − | 0.435527i | ||||
\(339\) | −2.50131e11 | −1.02865 | ||||||||
\(340\) | −1.45511e10 | + | 5.03393e10i | −0.0590528 | + | 0.204292i | ||||
\(341\) | −1.19506e11 | −0.478626 | ||||||||
\(342\) | −9.85664e10 | + | 9.85664e10i | −0.389593 | + | 0.389593i | ||||
\(343\) | 7.80929e10 | + | 3.23471e10i | 0.304641 | + | 0.126186i | ||||
\(344\) | 2.00869e11i | 0.773392i | ||||||||
\(345\) | 1.53654e11 | − | 3.70953e11i | 0.583925 | − | 1.40972i | ||||
\(346\) | −3.77918e10 | + | 1.56539e10i | −0.141761 | + | 0.0587192i | ||||
\(347\) | 9.84421e10 | + | 2.37660e11i | 0.364501 | + | 0.879983i | 0.994630 | + | 0.103493i | \(0.0330018\pi\) |
−0.630129 | + | 0.776490i | \(0.716998\pi\) | |||||||
\(348\) | −1.50140e11 | − | 1.50140e11i | −0.548769 | − | 0.548769i | ||||
\(349\) | 2.51708e11 | + | 2.51708e11i | 0.908203 | + | 0.908203i | 0.996127 | − | 0.0879237i | \(-0.0280232\pi\) |
−0.0879237 | + | 0.996127i | \(0.528023\pi\) | |||||||
\(350\) | 1.04106e10 | + | 2.51335e10i | 0.0370827 | + | 0.0895256i | ||||
\(351\) | 2.82269e11 | − | 1.16920e11i | 0.992615 | − | 0.411155i | ||||
\(352\) | 3.54989e10 | − | 8.57019e10i | 0.123246 | − | 0.297542i | ||||
\(353\) | − | 2.14539e11i | − | 0.735394i | −0.929946 | − | 0.367697i | \(-0.880146\pi\) | ||
0.929946 | − | 0.367697i | \(-0.119854\pi\) | |||||||
\(354\) | 3.19087e11 | + | 1.32170e11i | 1.07993 | + | 0.447321i | ||||
\(355\) | −1.03581e11 | + | 1.03581e11i | −0.346142 | + | 0.346142i | ||||
\(356\) | 3.91046e10 | 0.129034 | ||||||||
\(357\) | 9.61534e10 | − | 1.07471e10i | 0.313298 | − | 0.0350174i | ||||
\(358\) | −6.04756e10 | −0.194584 | ||||||||
\(359\) | 1.42457e10 | − | 1.42457e10i | 0.0452648 | − | 0.0452648i | −0.684112 | − | 0.729377i | \(-0.739810\pi\) |
0.729377 | + | 0.684112i | \(0.239810\pi\) | |||||||
\(360\) | 3.44321e11 | + | 1.42623e11i | 1.08045 | + | 0.447535i | ||||
\(361\) | 2.93040e11i | 0.908123i | ||||||||
\(362\) | 7.14878e10 | − | 1.72587e11i | 0.218798 | − | 0.528225i | ||||
\(363\) | 4.98348e11 | − | 2.06423e11i | 1.50644 | − | 0.623990i | ||||
\(364\) | −3.87862e9 | − | 9.36381e9i | −0.0115803 | − | 0.0279574i | ||||
\(365\) | −1.57957e11 | − | 1.57957e11i | −0.465823 | − | 0.465823i | ||||
\(366\) | −2.62630e11 | − | 2.62630e11i | −0.765032 | − | 0.765032i | ||||
\(367\) | 2.10342e11 | + | 5.07811e11i | 0.605242 | + | 1.46118i | 0.868120 | + | 0.496355i | \(0.165328\pi\) |
−0.262878 | + | 0.964829i | \(0.584672\pi\) | |||||||
\(368\) | −1.60330e11 | + | 6.64109e10i | −0.455722 | + | 0.188766i | ||||
\(369\) | −4.95051e11 | + | 1.19516e12i | −1.39005 | + | 3.35589i | ||||
\(370\) | 1.31753e11i | 0.365472i | ||||||||
\(371\) | −9.66086e10 | − | 4.00166e10i | −0.264748 | − | 0.109662i | ||||
\(372\) | 3.16515e11 | − | 3.16515e11i | 0.856942 | − | 0.856942i | ||||
\(373\) | 6.64556e11 | 1.77763 | 0.888816 | − | 0.458264i | \(-0.151528\pi\) | ||||
0.888816 | + | 0.458264i | \(0.151528\pi\) | |||||||
\(374\) | −9.50823e10 | − | 2.74846e10i | −0.251291 | − | 0.0726385i | ||||
\(375\) | −5.64268e11 | −1.47348 | ||||||||
\(376\) | −3.49023e10 | + | 3.49023e10i | −0.0900552 | + | 0.0900552i | ||||
\(377\) | 1.10744e11 | + | 4.58717e10i | 0.282348 | + | 0.116952i | ||||
\(378\) | − | 1.38416e11i | − | 0.348718i | ||||||
\(379\) | −1.22581e11 | + | 2.95938e11i | −0.305175 | + | 0.736756i | 0.694674 | + | 0.719325i | \(0.255549\pi\) |
−0.999848 | + | 0.0174313i | \(0.994451\pi\) | |||||||
\(380\) | −2.42060e10 | + | 1.00265e10i | −0.0595521 | + | 0.0246673i | ||||
\(381\) | −1.43257e11 | − | 3.45853e11i | −0.348300 | − | 0.840870i | ||||
\(382\) | 7.01383e10 | + | 7.01383e10i | 0.168527 | + | 0.168527i | ||||
\(383\) | −4.07275e11 | − | 4.07275e11i | −0.967148 | − | 0.967148i | 0.0323294 | − | 0.999477i | \(-0.489707\pi\) |
−0.999477 | + | 0.0323294i | \(0.989707\pi\) | |||||||
\(384\) | 7.55413e10 | + | 1.82373e11i | 0.177294 | + | 0.428025i | ||||
\(385\) | −1.05451e10 | + | 4.36791e9i | −0.0244611 | + | 0.0101321i | ||||
\(386\) | 3.42032e10 | − | 8.25737e10i | 0.0784194 | − | 0.189321i | ||||
\(387\) | 8.20280e11i | 1.85893i | ||||||||
\(388\) | −1.81882e11 | − | 7.53380e10i | −0.407424 | − | 0.168761i | ||||
\(389\) | 2.84014e11 | − | 2.84014e11i | 0.628879 | − | 0.628879i | −0.318907 | − | 0.947786i | \(-0.603316\pi\) |
0.947786 | + | 0.318907i | \(0.103316\pi\) | |||||||
\(390\) | −9.67656e10 | −0.211802 | ||||||||
\(391\) | −4.19384e11 | − | 7.60419e11i | −0.907437 | − | 1.64535i | ||||
\(392\) | 4.82988e11 | 1.03312 | ||||||||
\(393\) | −2.34911e11 | + | 2.34911e11i | −0.496750 | + | 0.496750i | ||||
\(394\) | −2.84646e10 | − | 1.17904e10i | −0.0595076 | − | 0.0246488i | ||||
\(395\) | 1.01351e11i | 0.209479i | ||||||||
\(396\) | 8.68331e10 | − | 2.09634e11i | 0.177442 | − | 0.428384i | ||||
\(397\) | −4.35198e11 | + | 1.80265e11i | −0.879285 | + | 0.364212i | −0.776220 | − | 0.630463i | \(-0.782865\pi\) |
−0.103066 | + | 0.994675i | \(0.532865\pi\) | |||||||
\(398\) | −1.44172e11 | − | 3.48062e11i | −0.288009 | − | 0.695316i | ||||
\(399\) | 3.42075e10 | + | 3.42075e10i | 0.0675683 | + | 0.0675683i | ||||
\(400\) | 7.74096e10 | + | 7.74096e10i | 0.151191 | + | 0.151191i | ||||
\(401\) | 5.92502e10 | + | 1.43043e11i | 0.114430 | + | 0.276258i | 0.970710 | − | 0.240253i | \(-0.0772304\pi\) |
−0.856280 | + | 0.516511i | \(0.827230\pi\) | |||||||
\(402\) | 6.23577e11 | − | 2.58294e11i | 1.19089 | − | 0.493284i | ||||
\(403\) | −9.67037e10 | + | 2.33463e11i | −0.182629 | + | 0.440906i | ||||
\(404\) | 1.61566e10i | 0.0301741i | ||||||||
\(405\) | 6.40225e11 | + | 2.65190e11i | 1.18246 | + | 0.489790i | ||||
\(406\) | 3.83999e10 | − | 3.83999e10i | 0.0701395 | − | 0.0701395i | ||||
\(407\) | 2.42687e11 | 0.438401 | ||||||||
\(408\) | 9.82121e11 | − | 5.41656e11i | 1.75466 | − | 0.967728i | ||||
\(409\) | 1.00784e12 | 1.78089 | 0.890445 | − | 0.455091i | \(-0.150393\pi\) | ||||
0.890445 | + | 0.455091i | \(0.150393\pi\) | |||||||
\(410\) | 1.76306e11 | − | 1.76306e11i | 0.308134 | − | 0.308134i | ||||
\(411\) | −8.81081e11 | − | 3.64956e11i | −1.52310 | − | 0.630887i | ||||
\(412\) | − | 1.52275e11i | − | 0.260369i | ||||||
\(413\) | 3.29654e10 | − | 7.95856e10i | 0.0557550 | − | 0.134604i | ||||
\(414\) | −1.88610e12 | + | 7.81247e11i | −3.15546 | + | 1.30703i | ||||
\(415\) | −1.26680e11 | − | 3.05833e11i | −0.209649 | − | 0.506136i | ||||
\(416\) | −1.38699e11 | − | 1.38699e11i | −0.227066 | − | 0.227066i | ||||
\(417\) | −1.04762e12 | − | 1.04762e12i | −1.69665 | − | 1.69665i | ||||
\(418\) | −1.89383e10 | − | 4.57211e10i | −0.0303422 | − | 0.0732526i | ||||
\(419\) | 2.35378e11 | − | 9.74968e10i | 0.373081 | − | 0.154535i | −0.188261 | − | 0.982119i | \(-0.560285\pi\) |
0.561342 | + | 0.827584i | \(0.310285\pi\) | |||||||
\(420\) | 1.63603e10 | − | 3.94974e10i | 0.0256549 | − | 0.0619364i | ||||
\(421\) | − | 2.87619e11i | − | 0.446219i | −0.974793 | − | 0.223109i | \(-0.928379\pi\) | ||
0.974793 | − | 0.223109i | \(-0.0716207\pi\) | |||||||
\(422\) | −2.39172e11 | − | 9.90685e10i | −0.367118 | − | 0.152065i | ||||
\(423\) | −1.42529e11 | + | 1.42529e11i | −0.216457 | + | 0.216457i | ||||
\(424\) | −1.21219e12 | −1.82148 | ||||||||
\(425\) | −3.41936e11 | + | 4.27991e11i | −0.508387 | + | 0.636333i | ||||
\(426\) | 1.03635e12 | 1.52463 | ||||||||
\(427\) | −6.55043e10 | + | 6.55043e10i | −0.0953551 | + | 0.0953551i | ||||
\(428\) | 1.36102e11 | + | 5.63755e10i | 0.196051 | + | 0.0812069i | ||||
\(429\) | 1.78240e11i | 0.254067i | ||||||||
\(430\) | 6.05026e10 | − | 1.46066e11i | 0.0853426 | − | 0.206035i | ||||
\(431\) | 3.62193e11 | − | 1.50025e11i | 0.505582 | − | 0.209419i | −0.115288 | − | 0.993332i | \(-0.536779\pi\) |
0.620871 | + | 0.783913i | \(0.286779\pi\) | |||||||
\(432\) | −2.13157e11 | − | 5.14606e11i | −0.294457 | − | 0.710883i | ||||
\(433\) | −5.91290e11 | − | 5.91290e11i | −0.808360 | − | 0.808360i | 0.176025 | − | 0.984386i | \(-0.443676\pi\) |
−0.984386 | + | 0.176025i | \(0.943676\pi\) | |||||||
\(434\) | 8.09521e10 | + | 8.09521e10i | 0.109528 | + | 0.109528i | ||||
\(435\) | 1.93491e11 | + | 4.67128e11i | 0.259095 | + | 0.625510i | ||||
\(436\) | −5.09277e11 | + | 2.10949e11i | −0.674939 | + | 0.279569i | ||||
\(437\) | 1.66163e11 | − | 4.01154e11i | 0.217956 | − | 0.526192i | ||||
\(438\) | 1.58039e12i | 2.05179i | ||||||||
\(439\) | 1.17126e12 | + | 4.85151e11i | 1.50509 | + | 0.623428i | 0.974538 | − | 0.224225i | \(-0.0719849\pi\) |
0.530551 | + | 0.847653i | \(0.321985\pi\) | |||||||
\(440\) | −9.35601e10 | + | 9.35601e10i | −0.119002 | + | 0.119002i | ||||
\(441\) | 1.97236e12 | 2.48320 | ||||||||
\(442\) | −1.30633e11 | + | 1.63509e11i | −0.162799 | + | 0.203771i | ||||
\(443\) | 1.06154e11 | 0.130954 | 0.0654769 | − | 0.997854i | \(-0.479143\pi\) | ||||
0.0654769 | + | 0.997854i | \(0.479143\pi\) | |||||||
\(444\) | −6.42762e11 | + | 6.42762e11i | −0.784923 | + | 0.784923i | ||||
\(445\) | −8.60304e10 | − | 3.56350e10i | −0.104000 | − | 0.0430781i | ||||
\(446\) | 1.43016e11i | 0.171150i | ||||||||
\(447\) | −4.70793e11 | + | 1.13660e12i | −0.557759 | + | 1.34655i | ||||
\(448\) | −1.16677e11 | + | 4.83290e10i | −0.136846 | + | 0.0566835i | ||||
\(449\) | −4.96848e11 | − | 1.19950e12i | −0.576919 | − | 1.39281i | −0.895565 | − | 0.444931i | \(-0.853228\pi\) |
0.318646 | − | 0.947874i | \(-0.396772\pi\) | |||||||
\(450\) | 9.10634e11 | + | 9.10634e11i | 1.04686 | + | 1.04686i | ||||
\(451\) | −3.24752e11 | − | 3.24752e11i | −0.369622 | − | 0.369622i | ||||
\(452\) | 9.14778e10 | + | 2.20847e11i | 0.103084 | + | 0.248868i | ||||
\(453\) | 3.59046e11 | − | 1.48722e11i | 0.400597 | − | 0.165933i | ||||
\(454\) | −2.45736e11 | + | 5.93260e11i | −0.271467 | + | 0.655380i | ||||
\(455\) | 2.41349e10i | 0.0263995i | ||||||||
\(456\) | 5.18111e11 | + | 2.14609e11i | 0.561153 | + | 0.232437i | ||||
\(457\) | 6.82534e11 | − | 6.82534e11i | 0.731983 | − | 0.731983i | −0.239029 | − | 0.971012i | \(-0.576829\pi\) |
0.971012 | + | 0.239029i | \(0.0768292\pi\) | |||||||
\(458\) | 4.45479e11 | 0.473078 | ||||||||
\(459\) | 2.44069e12 | − | 1.34608e12i | 2.56659 | − | 1.41552i | ||||
\(460\) | −3.83718e11 | −0.399579 | ||||||||
\(461\) | −7.36391e11 | + | 7.36391e11i | −0.759372 | + | 0.759372i | −0.976208 | − | 0.216836i | \(-0.930426\pi\) |
0.216836 | + | 0.976208i | \(0.430426\pi\) | |||||||
\(462\) | 7.46038e10 | + | 3.09019e10i | 0.0761855 | + | 0.0315571i | ||||
\(463\) | 5.45530e11i | 0.551701i | 0.961201 | + | 0.275851i | \(0.0889595\pi\) | ||||
−0.961201 | + | 0.275851i | \(0.911040\pi\) | |||||||
\(464\) | 8.36289e10 | − | 2.01898e11i | 0.0837579 | − | 0.202209i | ||||
\(465\) | −9.84769e11 | + | 4.07905e11i | −0.976778 | + | 0.404595i | ||||
\(466\) | 2.82474e11 | + | 6.81951e11i | 0.277486 | + | 0.669911i | ||||
\(467\) | 8.08384e11 | + | 8.08384e11i | 0.786488 | + | 0.786488i | 0.980917 | − | 0.194429i | \(-0.0622853\pi\) |
−0.194429 | + | 0.980917i | \(0.562285\pi\) | |||||||
\(468\) | −3.39268e11 | − | 3.39268e11i | −0.326916 | − | 0.326916i | ||||
\(469\) | −6.44228e10 | − | 1.55530e11i | −0.0614840 | − | 0.148435i | ||||
\(470\) | 3.58927e10 | − | 1.48672e10i | 0.0339286 | − | 0.0140537i | ||||
\(471\) | −1.94661e11 | + | 4.69953e11i | −0.182257 | + | 0.440008i | ||||
\(472\) | − | 9.98598e11i | − | 0.926087i | ||||||
\(473\) | −2.69051e11 | − | 1.11444e11i | −0.247149 | − | 0.102373i | ||||
\(474\) | 5.07018e11 | − | 5.07018e11i | 0.461340 | − | 0.461340i | ||||
\(475\) | −2.73909e11 | −0.246879 | ||||||||
\(476\) | −4.46541e10 | − | 8.09659e10i | −0.0398685 | − | 0.0722888i | ||||
\(477\) | −4.95018e12 | −4.37813 | ||||||||
\(478\) | 8.54635e11 | − | 8.54635e11i | 0.748782 | − | 0.748782i | ||||
\(479\) | 3.65710e11 | + | 1.51482e11i | 0.317415 | + | 0.131478i | 0.535702 | − | 0.844407i | \(-0.320047\pi\) |
−0.218287 | + | 0.975885i | \(0.570047\pi\) | |||||||
\(480\) | − | 8.27376e11i | − | 0.711405i | ||||||
\(481\) | 1.96381e11 | − | 4.74105e11i | 0.167281 | − | 0.403851i | ||||
\(482\) | −9.09663e11 | + | 3.76795e11i | −0.767660 | + | 0.317975i | ||||
\(483\) | 2.71132e11 | + | 6.54570e11i | 0.226683 | + | 0.547260i | ||||
\(484\) | −3.64512e11 | − | 3.64512e11i | −0.301931 | − | 0.301931i | ||||
\(485\) | 3.31488e11 | + | 3.31488e11i | 0.272039 | + | 0.272039i | ||||
\(486\) | −8.94587e11 | − | 2.15972e12i | −0.727377 | − | 1.75604i | ||||
\(487\) | 9.89297e11 | − | 4.09780e11i | 0.796978 | − | 0.330119i | 0.0532325 | − | 0.998582i | \(-0.483048\pi\) |
0.743745 | + | 0.668463i | \(0.233048\pi\) | |||||||
\(488\) | −4.10956e11 | + | 9.92137e11i | −0.328025 | + | 0.791922i | ||||
\(489\) | − | 2.22708e12i | − | 1.76135i | ||||||
\(490\) | −3.51215e11 | − | 1.45478e11i | −0.275227 | − | 0.114003i | ||||
\(491\) | 3.41388e11 | − | 3.41388e11i | 0.265083 | − | 0.265083i | −0.562032 | − | 0.827115i | \(-0.689980\pi\) |
0.827115 | + | 0.562032i | \(0.189980\pi\) | |||||||
\(492\) | 1.72023e12 | 1.32356 | ||||||||
\(493\) | 1.05054e12 | + | 3.03669e11i | 0.800941 | + | 0.231521i | ||||
\(494\) | −1.04644e11 | −0.0790573 | ||||||||
\(495\) | −3.82067e11 | + | 3.82067e11i | −0.286033 | + | 0.286033i | ||||
\(496\) | 4.25629e11 | + | 1.76301e11i | 0.315764 | + | 0.130794i | ||||
\(497\) | − | 2.58484e11i | − | 0.190033i | ||||||
\(498\) | −8.96231e11 | + | 2.16369e12i | −0.652962 | + | 1.57639i | ||||
\(499\) | 7.66066e11 | − | 3.17315e11i | 0.553113 | − | 0.229107i | −0.0885794 | − | 0.996069i | \(-0.528233\pi\) |
0.641692 | + | 0.766962i | \(0.278233\pi\) | |||||||
\(500\) | 2.06364e11 | + | 4.98207e11i | 0.147662 | + | 0.356488i | ||||
\(501\) | 3.23750e11 | + | 3.23750e11i | 0.229583 | + | 0.229583i | ||||
\(502\) | −9.96242e11 | − | 9.96242e11i | −0.700161 | − | 0.700161i | ||||
\(503\) | 8.05087e11 | + | 1.94365e12i | 0.560772 | + | 1.35382i | 0.909150 | + | 0.416470i | \(0.136733\pi\) |
−0.348377 | + | 0.937354i | \(0.613267\pi\) | |||||||
\(504\) | −6.07577e11 | + | 2.51667e11i | −0.419434 | + | 0.173735i | ||||
\(505\) | 1.47231e10 | − | 3.55447e10i | 0.0100737 | − | 0.0243200i | ||||
\(506\) | − | 7.24779e11i | − | 0.491505i | ||||||
\(507\) | −2.24328e12 | − | 9.29196e11i | −1.50781 | − | 0.624556i | ||||
\(508\) | −2.52971e11 | + | 2.52971e11i | −0.168532 | + | 0.168532i | ||||
\(509\) | 2.53218e11 | 0.167211 | 0.0836054 | − | 0.996499i | \(-0.473356\pi\) | ||||
0.0836054 | + | 0.996499i | \(0.473356\pi\) | |||||||
\(510\) | −8.77319e11 | + | 9.80581e10i | −0.574238 | + | 0.0641827i | ||||
\(511\) | 3.94177e11 | 0.255739 | ||||||||
\(512\) | −5.59640e11 | + | 5.59640e11i | −0.359910 | + | 0.359910i | ||||
\(513\) | 1.28757e12 | + | 5.33329e11i | 0.820810 | + | 0.339991i | ||||
\(514\) | 4.37968e11i | 0.276763i | ||||||||
\(515\) | −1.38764e11 | + | 3.35005e11i | −0.0869248 | + | 0.209855i | ||||
\(516\) | 1.00775e12 | − | 4.17424e11i | 0.625791 | − | 0.259211i | ||||
\(517\) | −2.73851e10 | − | 6.61136e10i | −0.0168581 | − | 0.0406990i | ||||
\(518\) | −1.64393e11 | − | 1.64393e11i | −0.100323 | − | 0.100323i | ||||
\(519\) | 4.75204e11 | + | 4.75204e11i | 0.287493 | + | 0.287493i | ||||
\(520\) | 1.07067e11 | + | 2.58484e11i | 0.0642159 | + | 0.155031i | ||||
\(521\) | −2.45956e12 | + | 1.01878e12i | −1.46247 | + | 0.605776i | −0.965128 | − | 0.261777i | \(-0.915691\pi\) |
−0.497344 | + | 0.867553i | \(0.665691\pi\) | |||||||
\(522\) | 9.83797e11 | − | 2.37510e12i | 0.579947 | − | 1.40012i | ||||
\(523\) | − | 1.91077e11i | − | 0.111674i | −0.998440 | − | 0.0558369i | \(-0.982217\pi\) | ||
0.998440 | − | 0.0558369i | \(-0.0177827\pi\) | |||||||
\(524\) | 2.93321e11 | + | 1.21498e11i | 0.169962 | + | 0.0704007i | ||||
\(525\) | 3.16035e11 | − | 3.16035e11i | 0.181559 | − | 0.181559i | ||||
\(526\) | −4.34895e11 | −0.247713 | ||||||||
\(527\) | −6.40176e11 | + | 2.21468e12i | −0.361536 | + | 1.25073i | ||||
\(528\) | 3.24951e11 | 0.181956 | ||||||||
\(529\) | 3.22300e12 | − | 3.22300e12i | 1.78941 | − | 1.78941i | ||||
\(530\) | 8.81472e11 | + | 3.65118e11i | 0.485252 | + | 0.200998i | ||||
\(531\) | − | 4.07793e12i | − | 2.22595i | ||||||
\(532\) | 1.76923e10 | − | 4.27130e10i | 0.00957596 | − | 0.0231184i | ||||
\(533\) | −8.97212e11 | + | 3.71637e11i | −0.481529 | + | 0.199456i | ||||
\(534\) | 2.52109e11 | + | 6.08645e11i | 0.134169 | + | 0.323913i | ||||
\(535\) | −2.48053e11 | − | 2.48053e11i | −0.130904 | − | 0.130904i | ||||
\(536\) | −1.37993e12 | − | 1.37993e12i | −0.722130 | − | 0.722130i | ||||
\(537\) | 3.80218e11 | + | 9.17927e11i | 0.197310 | + | 0.476348i | ||||
\(538\) | −1.33793e12 | + | 5.54188e11i | −0.688514 | + | 0.285192i | ||||
\(539\) | −2.67968e11 | + | 6.46931e11i | −0.136752 | + | 0.330148i | ||||
\(540\) | − | 1.23161e12i | − | 0.623305i | ||||||
\(541\) | −6.38765e11 | − | 2.64585e11i | −0.320593 | − | 0.132794i | 0.216583 | − | 0.976264i | \(-0.430509\pi\) |
−0.537176 | + | 0.843470i | \(0.680509\pi\) | |||||||
\(542\) | −9.61863e10 | + | 9.61863e10i | −0.0478759 | + | 0.0478759i | ||||
\(543\) | −3.06906e12 | −1.51498 | ||||||||
\(544\) | −1.39805e12 | − | 1.11695e12i | −0.684429 | − | 0.546813i | ||||
\(545\) | 1.31265e12 | 0.637328 | ||||||||
\(546\) | 1.20738e11 | − | 1.20738e11i | 0.0581402 | − | 0.0581402i | ||||
\(547\) | 2.70957e12 | + | 1.12234e12i | 1.29407 | + | 0.536021i | 0.920195 | − | 0.391460i | \(-0.128030\pi\) |
0.373873 | + | 0.927480i | \(0.378030\pi\) | |||||||
\(548\) | 9.11401e11i | 0.431715i | ||||||||
\(549\) | −1.67821e12 | + | 4.05155e12i | −0.788442 | + | 1.90347i | ||||
\(550\) | −4.22407e11 | + | 1.74967e11i | −0.196833 | + | 0.0815311i | ||||
\(551\) | 2.09244e11 | + | 5.05159e11i | 0.0967097 | + | 0.233478i | ||||
\(552\) | 5.80761e12 | + | 5.80761e12i | 2.66239 | + | 2.66239i | ||||
\(553\) | −1.26459e11 | − | 1.26459e11i | −0.0575024 | − | 0.0575024i | ||||
\(554\) | −9.54653e11 | − | 2.30474e12i | −0.430578 | − | 1.03951i | ||||
\(555\) | 1.99981e12 | − | 8.28350e11i | 0.894687 | − | 0.370592i | ||||
\(556\) | −5.41835e11 | + | 1.30811e12i | −0.240453 | + | 0.580505i | ||||
\(557\) | 2.09071e12i | 0.920334i | 0.887832 | + | 0.460167i | \(0.152210\pi\) | ||||
−0.887832 | + | 0.460167i | \(0.847790\pi\) | |||||||
\(558\) | 5.00702e12 | + | 2.07398e12i | 2.18638 | + | 0.905628i | ||||
\(559\) | −4.35428e11 | + | 4.35428e11i | −0.188609 | + | 0.188609i | ||||
\(560\) | 4.40006e10 | 0.0189065 | ||||||||
\(561\) | 1.80621e11 | + | 1.61600e12i | 0.0769902 | + | 0.688826i | ||||
\(562\) | 1.65596e12 | 0.700223 | ||||||||
\(563\) | 2.32844e12 | − | 2.32844e12i | 0.976737 | − | 0.976737i | −0.0229986 | − | 0.999735i | \(-0.507321\pi\) |
0.999735 | + | 0.0229986i | \(0.00732132\pi\) | |||||||
\(564\) | 2.47634e11 | + | 1.02573e11i | 0.103051 | + | 0.0426853i | ||||
\(565\) | − | 5.69226e11i | − | 0.235000i | ||||||
\(566\) | 1.56762e11 | − | 3.78457e11i | 0.0642047 | − | 0.155004i | ||||
\(567\) | −1.12972e12 | + | 4.67944e11i | −0.459035 | + | 0.190139i | ||||
\(568\) | −1.14669e12 | − | 2.76835e12i | −0.462250 | − | 1.11597i | ||||
\(569\) | −1.61356e12 | − | 1.61356e12i | −0.645328 | − | 0.645328i | 0.306532 | − | 0.951860i | \(-0.400831\pi\) |
−0.951860 | + | 0.306532i | \(0.900831\pi\) | |||||||
\(570\) | −3.12114e11 | − | 3.12114e11i | −0.123845 | − | 0.123845i | ||||
\(571\) | 7.76365e11 | + | 1.87431e12i | 0.305635 | + | 0.737869i | 0.999836 | + | 0.0180877i | \(0.00575782\pi\) |
−0.694201 | + | 0.719781i | \(0.744242\pi\) | |||||||
\(572\) | 1.57373e11 | − | 6.51860e10i | 0.0614679 | − | 0.0254608i | ||||
\(573\) | 6.23623e11 | − | 1.50556e12i | 0.241672 | − | 0.583448i | ||||
\(574\) | 4.39966e11i | 0.169167i | ||||||||
\(575\) | −3.70617e12 | − | 1.53515e12i | −1.41391 | − | 0.585659i | ||||
\(576\) | −4.22741e12 | + | 4.22741e12i | −1.60019 | + | 1.60019i | ||||
\(577\) | −1.89658e12 | −0.712329 | −0.356165 | − | 0.934423i | \(-0.615916\pi\) | ||||
−0.356165 | + | 0.934423i | \(0.615916\pi\) | |||||||
\(578\) | −1.01868e12 | + | 1.61482e12i | −0.379632 | + | 0.601796i | ||||
\(579\) | −1.46838e12 | −0.542982 | ||||||||
\(580\) | 3.41676e11 | − | 3.41676e11i | 0.125369 | − | 0.125369i | ||||
\(581\) | 5.39661e11 | + | 2.23535e11i | 0.196485 | + | 0.0813866i | ||||
\(582\) | − | 3.31662e12i | − | 1.19823i | ||||||
\(583\) | 6.72539e11 | − | 1.62365e12i | 0.241107 | − | 0.582083i | ||||
\(584\) | 4.22161e12 | − | 1.74865e12i | 1.50183 | − | 0.622077i | ||||
\(585\) | 4.37227e11 | + | 1.05556e12i | 0.154350 | + | 0.372633i | ||||
\(586\) | −1.69096e12 | − | 1.69096e12i | −0.592372 | − | 0.592372i | ||||
\(587\) | −2.11108e12 | − | 2.11108e12i | −0.733894 | − | 0.733894i | 0.237495 | − | 0.971389i | \(-0.423674\pi\) |
−0.971389 | + | 0.237495i | \(0.923674\pi\) | |||||||
\(588\) | −1.00369e12 | − | 2.42313e12i | −0.346261 | − | 0.835947i | ||||
\(589\) | −1.06494e12 | + | 4.41114e11i | −0.364592 | + | 0.151019i | ||||
\(590\) | −3.00782e11 | + | 7.26152e11i | −0.102192 | + | 0.246714i | ||||
\(591\) | 5.06177e11i | 0.170671i | ||||||||
\(592\) | −8.64343e11 | − | 3.58023e11i | −0.289227 | − | 0.119802i | ||||
\(593\) | 2.67577e12 | − | 2.67577e12i | 0.888591 | − | 0.888591i | −0.105797 | − | 0.994388i | \(-0.533739\pi\) |
0.994388 | + | 0.105797i | \(0.0337393\pi\) | |||||||
\(594\) | 2.32630e12 | 0.766702 | ||||||||
\(595\) | 2.44573e10 | + | 2.18818e11i | 0.00799986 | + | 0.0715742i | ||||
\(596\) | 1.17571e12 | 0.381673 | ||||||||
\(597\) | −4.37662e12 | + | 4.37662e12i | −1.41011 | + | 1.41011i | ||||
\(598\) | −1.41590e12 | − | 5.86486e11i | −0.452770 | − | 0.187544i | ||||
\(599\) | 4.66663e12i | 1.48109i | 0.672005 | + | 0.740546i | \(0.265433\pi\) | ||||
−0.672005 | + | 0.740546i | \(0.734567\pi\) | |||||||
\(600\) | 1.98272e12 | − | 4.78672e12i | 0.624570 | − | 1.50785i | ||||
\(601\) | 1.00654e12 | − | 4.16921e11i | 0.314698 | − | 0.130352i | −0.219743 | − | 0.975558i | \(-0.570522\pi\) |
0.534441 | + | 0.845205i | \(0.320522\pi\) | |||||||
\(602\) | 1.06761e11 | + | 2.57743e11i | 0.0331304 | + | 0.0799838i | ||||
\(603\) | −5.63516e12 | − | 5.63516e12i | −1.73571 | − | 1.73571i | ||||
\(604\) | −2.62620e11 | − | 2.62620e11i | −0.0802901 | − | 0.0802901i | ||||
\(605\) | 4.69759e11 | + | 1.13410e12i | 0.142553 | + | 0.344153i | ||||
\(606\) | −2.51470e11 | + | 1.04162e11i | −0.0757460 | + | 0.0313750i | ||||
\(607\) | 4.05324e10 | − | 9.78540e10i | 0.0121186 | − | 0.0292570i | −0.917704 | − | 0.397264i | \(-0.869960\pi\) |
0.929823 | + | 0.368007i | \(0.119960\pi\) | |||||||
\(608\) | − | 8.94736e11i | − | 0.265539i | ||||||
\(609\) | −8.24277e11 | − | 3.41427e11i | −0.242826 | − | 0.100582i | ||||
\(610\) | 5.97671e11 | − | 5.97671e11i | 0.174775 | − | 0.174775i | ||||
\(611\) | −1.51317e11 | −0.0439240 | ||||||||
\(612\) | −3.41975e12 | − | 2.73215e12i | −0.985401 | − | 0.787270i | ||||
\(613\) | −3.00944e12 | −0.860821 | −0.430411 | − | 0.902633i | \(-0.641631\pi\) | ||||
−0.430411 | + | 0.902633i | \(0.641631\pi\) | |||||||
\(614\) | 1.95475e12 | − | 1.95475e12i | 0.555051 | − | 0.555051i | ||||
\(615\) | −3.78452e12 | − | 1.56760e12i | −1.06677 | − | 0.441872i | ||||
\(616\) | − | 2.33476e11i | − | 0.0653325i | ||||||
\(617\) | 2.56524e12 | − | 6.19303e12i | 0.712598 | − | 1.72036i | 0.0191924 | − | 0.999816i | \(-0.493890\pi\) |
0.693405 | − | 0.720548i | \(-0.256110\pi\) | |||||||
\(618\) | 2.37008e12 | − | 9.81721e11i | 0.653605 | − | 0.270732i | ||||
\(619\) | 2.92247e11 | + | 7.05546e11i | 0.0800095 | + | 0.193160i | 0.958822 | − | 0.284007i | \(-0.0916638\pi\) |
−0.878813 | + | 0.477167i | \(0.841664\pi\) | |||||||
\(620\) | 7.20299e11 | + | 7.20299e11i | 0.195772 | + | 0.195772i | ||||
\(621\) | 1.44326e13 | + | 1.44326e13i | 3.89433 | + | 3.89433i | ||||
\(622\) | 1.71707e12 | + | 4.14536e12i | 0.459971 | + | 1.11047i | ||||
\(623\) | 1.51806e11 | − | 6.28801e10i | 0.0403732 | − | 0.0167231i | ||||
\(624\) | 2.62948e11 | − | 6.34813e11i | 0.0694287 | − | 0.167616i | ||||
\(625\) | 1.82288e12i | 0.477857i | ||||||||
\(626\) | 1.66363e11 | + | 6.89097e10i | 0.0432983 | + | 0.0179348i | ||||
\(627\) | −5.74908e11 | + | 5.74908e11i | −0.148558 | + | 0.148558i | ||||
\(628\) | 4.86125e11 | 0.124718 | ||||||||
\(629\) | 1.30003e12 | − | 4.49744e12i | 0.331152 | − | 1.14561i | ||||
\(630\) | 5.17615e11 | 0.130911 | ||||||||
\(631\) | −7.83577e11 | + | 7.83577e11i | −0.196766 | + | 0.196766i | −0.798612 | − | 0.601846i | \(-0.794432\pi\) |
0.601846 | + | 0.798612i | \(0.294432\pi\) | |||||||
\(632\) | −1.91536e12 | − | 7.93369e11i | −0.477556 | − | 0.197810i | ||||
\(633\) | 4.25313e12i | 1.05291i | ||||||||
\(634\) | −1.05661e12 | + | 2.55089e12i | −0.259725 | + | 0.627032i | ||||
\(635\) | 7.87063e11 | − | 3.26012e11i | 0.192100 | − | 0.0795705i | ||||
\(636\) | 2.51905e12 | + | 6.08152e12i | 0.610491 | + | 1.47386i | ||||
\(637\) | 1.04698e12 | + | 1.04698e12i | 0.251949 | + | 0.251949i | ||||
\(638\) | 6.45368e11 | + | 6.45368e11i | 0.154211 | + | 0.154211i | ||||
\(639\) | −4.68268e12 | − | 1.13050e13i | −1.11107 | − | 2.68235i | ||||
\(640\) | −4.15029e11 | + | 1.71910e11i | −0.0977841 | + | 0.0405035i | ||||
\(641\) | −1.13774e12 | + | 2.74674e12i | −0.266184 | + | 0.642624i | −0.999297 | − | 0.0374821i | \(-0.988066\pi\) |
0.733114 | + | 0.680106i | \(0.238066\pi\) | |||||||
\(642\) | 2.48183e12i | 0.576586i | ||||||||
\(643\) | 1.02412e12 | + | 4.24204e11i | 0.236266 | + | 0.0978646i | 0.497675 | − | 0.867364i | \(-0.334187\pi\) |
−0.261409 | + | 0.965228i | \(0.584187\pi\) | |||||||
\(644\) | 4.78778e11 | − | 4.78778e11i | 0.109685 | − | 0.109685i | ||||
\(645\) | −2.59745e12 | −0.590919 | ||||||||
\(646\) | −9.48745e11 | + | 1.06041e11i | −0.214340 | + | 0.0239568i | ||||
\(647\) | −1.81314e12 | −0.406782 | −0.203391 | − | 0.979098i | \(-0.565196\pi\) | ||||
−0.203391 | + | 0.979098i | \(0.565196\pi\) | |||||||
\(648\) | −1.00233e13 | + | 1.00233e13i | −2.23318 | + | 2.23318i | ||||
\(649\) | 1.33756e12 | + | 5.54034e11i | 0.295945 | + | 0.122584i | ||||
\(650\) | 9.66781e11i | 0.212431i | ||||||||
\(651\) | 7.19773e11 | − | 1.73769e12i | 0.157066 | − | 0.379190i | ||||
\(652\) | −1.96635e12 | + | 8.14488e11i | −0.426134 | + | 0.176510i | ||||
\(653\) | −1.61219e12 | − | 3.89218e12i | −0.346983 | − | 0.837690i | −0.996973 | − | 0.0777478i | \(-0.975227\pi\) |
0.649990 | − | 0.759942i | \(-0.274773\pi\) | |||||||
\(654\) | −6.56666e12 | − | 6.56666e12i | −1.40360 | − | 1.40360i | ||||
\(655\) | −5.34592e11 | − | 5.34592e11i | −0.113484 | − | 0.113484i | ||||
\(656\) | 6.77534e11 | + | 1.63571e12i | 0.142845 | + | 0.344858i | ||||
\(657\) | 1.72396e13 | − | 7.14087e12i | 3.60980 | − | 1.49523i | ||||
\(658\) | −2.62342e10 | + | 6.33349e10i | −0.00545570 | + | 0.0131712i | ||||
\(659\) | 3.69466e12i | 0.763115i | 0.924345 | + | 0.381558i | \(0.124612\pi\) | ||||
−0.924345 | + | 0.381558i | \(0.875388\pi\) | |||||||
\(660\) | 6.63813e11 | + | 2.74960e11i | 0.136175 | + | 0.0564056i | ||||
\(661\) | −1.45265e12 | + | 1.45265e12i | −0.295975 | + | 0.295975i | −0.839435 | − | 0.543460i | \(-0.817114\pi\) |
0.543460 | + | 0.839435i | \(0.317114\pi\) | |||||||
\(662\) | 4.52046e12 | 0.914790 | ||||||||
\(663\) | 3.30312e12 | + | 9.54804e11i | 0.663917 | + | 0.191912i | ||||
\(664\) | 6.77138e12 | 1.35183 | ||||||||
\(665\) | −7.78465e10 | + | 7.78465e10i | −0.0154362 | + | 0.0154362i | ||||
\(666\) | −1.01680e13 | − | 4.21172e12i | −2.00263 | − | 0.829517i | ||||
\(667\) | 8.00788e12i | 1.56657i | ||||||||
\(668\) | 1.67445e11 | − | 4.04249e11i | 0.0325371 | − | 0.0785515i | ||||
\(669\) | 2.17076e12 | − | 8.99159e11i | 0.418981 | − | 0.173548i | ||||
\(670\) | 5.87804e11 | + | 1.41908e12i | 0.112693 | + | 0.272064i | ||||
\(671\) | −1.10090e12 | − | 1.10090e12i | −0.209650 | − | 0.209650i | ||||
\(672\) | 1.03234e12 | + | 1.03234e12i | 0.195282 | + | 0.195282i | ||||
\(673\) | 2.91309e12 | + | 7.03282e12i | 0.547376 | + | 1.32148i | 0.919423 | + | 0.393269i | \(0.128656\pi\) |
−0.372047 | + | 0.928214i | \(0.621344\pi\) | |||||||
\(674\) | −6.20474e12 | + | 2.57009e12i | −1.15812 | + | 0.479710i | ||||
\(675\) | 4.92731e12 | − | 1.18956e13i | 0.913572 | − | 2.20556i | ||||
\(676\) | 2.32047e12i | 0.427382i | ||||||||
\(677\) | 2.32204e12 | + | 9.61822e11i | 0.424836 | + | 0.175973i | 0.584849 | − | 0.811142i | \(-0.301154\pi\) |
−0.160013 | + | 0.987115i | \(0.551154\pi\) | |||||||
\(678\) | −2.84762e12 | + | 2.84762e12i | −0.517545 | + | 0.517545i | ||||
\(679\) | −8.27219e11 | −0.149350 | ||||||||
\(680\) | 1.23266e12 | + | 2.23503e12i | 0.221081 | + | 0.400860i | ||||
\(681\) | 1.05497e13 | 1.87966 | ||||||||
\(682\) | −1.36052e12 | + | 1.36052e12i | −0.240811 | + | 0.240811i | ||||
\(683\) | −3.05018e12 | − | 1.26342e12i | −0.536330 | − | 0.222155i | 0.0980433 | − | 0.995182i | \(-0.468742\pi\) |
−0.634373 | + | 0.773027i | \(0.718742\pi\) | |||||||
\(684\) | − | 2.18860e12i | − | 0.382308i | ||||||
\(685\) | 8.30535e11 | − | 2.00509e12i | 0.144129 | − | 0.347958i | ||||
\(686\) | 1.25731e12 | − | 5.20794e11i | 0.216762 | − | 0.0897857i | ||||
\(687\) | −2.80079e12 | − | 6.76170e12i | −0.479705 | − | 1.15811i | ||||
\(688\) | 7.93831e11 | + | 7.93831e11i | 0.135077 | + | 0.135077i | ||||
\(689\) | −2.62770e12 | − | 2.62770e12i | −0.444210 | − | 0.444210i | ||||
\(690\) | −2.47385e12 | − | 5.97240e12i | −0.415482 | − | 1.00306i | ||||
\(691\) | −5.15663e12 | + | 2.13595e12i | −0.860428 | + | 0.356401i | −0.768875 | − | 0.639399i | \(-0.779183\pi\) |
−0.0915533 | + | 0.995800i | \(0.529183\pi\) | |||||||
\(692\) | 2.45779e11 | − | 5.93362e11i | 0.0407443 | − | 0.0983654i | ||||
\(693\) | − | 9.53437e11i | − | 0.157034i | ||||||
\(694\) | 3.82637e12 | + | 1.58493e12i | 0.626137 | + | 0.259354i | ||||
\(695\) | 2.38408e12 | − | 2.38408e12i | 0.387605 | − | 0.387605i | ||||
\(696\) | −1.03426e13 | −1.67066 | ||||||||
\(697\) | −7.75791e12 | + | 4.27862e12i | −1.24508 | + | 0.686683i | ||||
\(698\) | 5.73116e12 | 0.913888 | ||||||||
\(699\) | 8.57503e12 | − | 8.57503e12i | 1.35859 | − | 1.35859i | ||||
\(700\) | −3.94616e11 | − | 1.63455e11i | −0.0621203 | − | 0.0257311i | ||||
\(701\) | 3.02645e12i | 0.473372i | 0.971586 | + | 0.236686i | \(0.0760613\pi\) | ||||
−0.971586 | + | 0.236686i | \(0.923939\pi\) | |||||||
\(702\) | 1.88242e12 | − | 4.54457e12i | 0.292550 | − | 0.706278i | ||||
\(703\) | 2.16263e12 | − | 8.95790e11i | 0.333951 | − | 0.138327i | ||||
\(704\) | −8.12242e11 | − | 1.96093e12i | −0.124626 | − | 0.300874i | ||||
\(705\) | −4.51324e11 | − | 4.51324e11i | −0.0688077 | − | 0.0688077i | ||||
\(706\) | −2.44243e12 | − | 2.44243e12i | −0.369999 | − | 0.369999i | ||||
\(707\) | 2.59798e10 | + | 6.27209e10i | 0.00391065 | + | 0.00944114i | ||||
\(708\) | −5.00992e12 | + | 2.07518e12i | −0.749344 | + | 0.310389i | ||||
\(709\) | −5.12696e11 | + | 1.23776e12i | −0.0761995 | + | 0.183962i | −0.957389 | − | 0.288801i | \(-0.906743\pi\) |
0.881190 | + | 0.472763i | \(0.156743\pi\) | |||||||
\(710\) | 2.35845e12i | 0.348308i | ||||||||
\(711\) | −7.82168e12 | − | 3.23985e12i | −1.14785 | − | 0.475457i | ||||
\(712\) | 1.34688e12 | − | 1.34688e12i | 0.196413 | − | 0.196413i | ||||
\(713\) | −1.68817e13 | −2.44632 | ||||||||
\(714\) | 9.72310e11 | − | 1.21701e12i | 0.140011 | − | 0.175248i | ||||
\(715\) | −4.05624e11 | −0.0580426 | ||||||||
\(716\) | 6.71409e11 | − | 6.71409e11i | 0.0954725 | − | 0.0954725i | ||||
\(717\) | −1.83453e13 | − | 7.59886e12i | −2.59231 | − | 1.07377i | ||||
\(718\) | − | 3.24362e11i | − | 0.0455481i | ||||||
\(719\) | 1.31125e11 | − | 3.16563e11i | 0.0182980 | − | 0.0441753i | −0.914466 | − | 0.404662i | \(-0.867389\pi\) |
0.932764 | + | 0.360486i | \(0.117389\pi\) | |||||||
\(720\) | 1.92440e12 | − | 7.97111e11i | 0.266869 | − | 0.110541i | ||||
\(721\) | −2.44857e11 | − | 5.91138e11i | −0.0337446 | − | 0.0814667i | ||||
\(722\) | 3.33612e12 | + | 3.33612e12i | 0.456903 | + | 0.456903i | ||||
\(723\) | 1.14383e13 | + | 1.14383e13i | 1.55683 | + | 1.55683i | ||||
\(724\) | 1.12242e12 | + | 2.70975e12i | 0.151820 | + | 0.366527i | ||||
\(725\) | 4.66705e12 | − | 1.93316e12i | 0.627367 | − | 0.259864i | ||||
\(726\) | 3.32343e12 | − | 8.02348e12i | 0.443989 | − | 1.07188i | ||||
\(727\) | 1.10997e13i | 1.47369i | 0.676063 | + | 0.736844i | \(0.263685\pi\) | ||||
−0.676063 | + | 0.736844i | \(0.736315\pi\) | |||||||
\(728\) | −4.56111e11 | − | 1.88927e11i | −0.0601837 | − | 0.0249289i | ||||
\(729\) | −1.11343e13 | + | 1.11343e13i | −1.46013 | + | 1.46013i | ||||
\(730\) | −3.59653e12 | −0.468739 | ||||||||
\(731\) | −3.50653e12 | + | 4.38902e12i | −0.454203 | + | 0.568512i | ||||
\(732\) | 5.83151e12 | 0.750725 | ||||||||
\(733\) | 8.53012e12 | − | 8.53012e12i | 1.09141 | − | 1.09141i | 0.0960293 | − | 0.995379i | \(-0.469386\pi\) |
0.995379 | − | 0.0960293i | \(-0.0306143\pi\) | |||||||
\(734\) | 8.17583e12 | + | 3.38654e12i | 1.03968 | + | 0.430650i | ||||
\(735\) | 6.24555e12i | 0.789364i | ||||||||
\(736\) | 5.01463e12 | − | 1.21064e13i | 0.629925 | − | 1.52077i | ||||
\(737\) | 2.61393e12 | − | 1.08272e12i | 0.326354 | − | 0.135180i | ||||
\(738\) | 7.97040e12 | + | 1.92422e13i | 0.989069 | + | 2.38782i | ||||
\(739\) | −1.51001e12 | − | 1.51001e12i | −0.186243 | − | 0.186243i | 0.607827 | − | 0.794070i | \(-0.292041\pi\) |
−0.794070 | + | 0.607827i | \(0.792041\pi\) | |||||||
\(740\) | −1.46274e12 | − | 1.46274e12i | −0.179319 | − | 0.179319i | ||||
\(741\) | 6.57908e11 | + | 1.58833e12i | 0.0801648 | + | 0.193535i | ||||
\(742\) | −1.55541e12 | + | 6.44273e11i | −0.188377 | + | 0.0780283i | ||||
\(743\) | −1.65219e12 | + | 3.98874e12i | −0.198889 | + | 0.480160i | −0.991585 | − | 0.129457i | \(-0.958677\pi\) |
0.792696 | + | 0.609617i | \(0.208677\pi\) | |||||||
\(744\) | − | 2.18036e13i | − | 2.60885i | ||||||
\(745\) | −2.58657e12 | − | 1.07139e12i | −0.307624 | − | 0.127422i | ||||
\(746\) | 7.56566e12 | − | 7.56566e12i | 0.894380 | − | 0.894380i | ||||
\(747\) | 2.76520e13 | 3.24926 | ||||||||
\(748\) | 1.36076e12 | − | 7.50480e11i | 0.158936 | − | 0.0876560i | ||||
\(749\) | 6.19009e11 | 0.0718668 | ||||||||
\(750\) | −6.42392e12 | + | 6.42392e12i | −0.741352 | + | 0.741352i | ||||
\(751\) | 2.87540e12 | + | 1.19103e12i | 0.329852 | + | 0.136629i | 0.541462 | − | 0.840725i | \(-0.317871\pi\) |
−0.211611 | + | 0.977354i | \(0.567871\pi\) | |||||||
\(752\) | 2.75867e11i | 0.0314572i | ||||||||
\(753\) | −8.85793e12 | + | 2.13849e13i | −1.00405 | + | 2.42399i | ||||
\(754\) | 1.78300e12 | − | 7.38541e11i | 0.200900 | − | 0.0832154i | ||||
\(755\) | 3.38448e11 | + | 8.17086e11i | 0.0379080 | + | 0.0915180i | ||||
\(756\) | 1.53672e12 | + | 1.53672e12i | 0.171099 | + | 0.171099i | ||||
\(757\) | −9.37450e12 | − | 9.37450e12i | −1.03757 | − | 1.03757i | −0.999266 | − | 0.0383017i | \(-0.987805\pi\) |
−0.0383017 | − | 0.999266i | \(-0.512195\pi\) | |||||||
\(758\) | 1.97358e12 | + | 4.76464e12i | 0.217142 | + | 0.524226i | ||||
\(759\) | −1.10010e13 | + | 4.55678e12i | −1.20322 | + | 0.498391i | ||||
\(760\) | −4.88388e11 | + | 1.17907e12i | −0.0531012 | + | 0.128198i | ||||
\(761\) | − | 1.36854e13i | − | 1.47920i | −0.673045 | − | 0.739601i | \(-0.735014\pi\) | ||
0.673045 | − | 0.739601i | \(-0.264986\pi\) | |||||||
\(762\) | −5.56828e12 | − | 2.30646e12i | −0.598307 | − | 0.247827i | ||||
\(763\) | −1.63783e12 | + | 1.63783e12i | −0.174948 | + | 0.174948i | ||||
\(764\) | −1.55737e12 | −0.165376 | ||||||||
\(765\) | 5.03375e12 | + | 9.12709e12i | 0.531392 | + | 0.963509i | ||||
\(766\) | −9.27326e12 | −0.973202 | ||||||||
\(767\) | 2.16468e12 | − | 2.16468e12i | 0.225847 | − | 0.225847i | ||||
\(768\) | 1.78126e13 | + | 7.37824e12i | 1.84758 | + | 0.765292i | ||||
\(769\) | − | 1.60424e13i | − | 1.65425i | −0.562021 | − | 0.827123i | \(-0.689976\pi\) | ||
0.562021 | − | 0.827123i | \(-0.310024\pi\) | |||||||
\(770\) | −7.03240e10 | + | 1.69777e11i | −0.00720934 | + | 0.0174049i | ||||
\(771\) | 6.64768e12 | − | 2.75356e12i | 0.677525 | − | 0.280640i | ||||
\(772\) | 5.37017e11 | + | 1.29647e12i | 0.0544139 | + | 0.131367i | ||||
\(773\) | −1.49101e12 | − | 1.49101e12i | −0.150201 | − | 0.150201i | 0.628007 | − | 0.778208i | \(-0.283871\pi\) |
−0.778208 | + | 0.628007i | \(0.783871\pi\) | |||||||
\(774\) | 9.33850e12 | + | 9.33850e12i | 0.935282 | + | 0.935282i | ||||
\(775\) | 4.07536e12 | + | 9.83878e12i | 0.405796 | + | 0.979679i | ||||
\(776\) | −8.85946e12 | + | 3.66971e12i | −0.877061 | + | 0.363290i | ||||
\(777\) | −1.46168e12 | + | 3.52880e12i | −0.143865 | + | 0.347322i | ||||
\(778\) | − | 6.46673e12i | − | 0.632815i | ||||||
\(779\) | −4.09263e12 | − | 1.69522e12i | −0.398184 | − | 0.164933i | ||||
\(780\) | 1.07431e12 | − | 1.07431e12i | 0.103921 | − | 0.103921i | ||||
\(781\) | 4.34421e12 | 0.417813 | ||||||||
\(782\) | −1.34315e13 | − | 3.88252e12i | −1.28438 | − | 0.371264i | ||||
\(783\) | −2.57026e13 | −2.44371 | ||||||||
\(784\) | 1.90876e12 | − | 1.90876e12i | 0.180439 | − | 0.180439i | ||||
\(785\) | −1.06948e12 | − | 4.42993e11i | −0.100521 | − | 0.0416374i | ||||
\(786\) | 5.34871e12i | 0.499859i | ||||||||
\(787\) | 5.69632e12 | − | 1.37521e13i | 0.529307 | − | 1.27786i | −0.402670 | − | 0.915345i | \(-0.631918\pi\) |
0.931978 | − | 0.362516i | \(-0.118082\pi\) | |||||||
\(788\) | 4.46917e11 | − | 1.85119e11i | 0.0412913 | − | 0.0171034i | ||||
\(789\) | 2.73424e12 | + | 6.60103e12i | 0.251183 | + | 0.606409i | ||||
\(790\) | 1.15383e12 | + | 1.15383e12i | 0.105395 | + | 0.105395i | ||||
\(791\) | 7.10243e11 | + | 7.10243e11i | 0.0645079 | + | 0.0645079i | ||||
\(792\) | −4.22964e12 | − | 1.02112e13i | −0.381979 | − | 0.922180i | ||||
\(793\) | −3.04151e12 | + | 1.25984e12i | −0.273124 | + | 0.113132i | ||||
\(794\) | −2.90229e12 | + | 7.00676e12i | −0.259149 | + | 0.625640i | ||||
\(795\) | − | 1.56749e13i | − | 1.39173i | ||||||
\(796\) | 5.46485e12 | + | 2.26361e12i | 0.482469 | + | 0.199845i | ||||
\(797\) | 7.06261e11 | − | 7.06261e11i | 0.0620016 | − | 0.0620016i | −0.675426 | − | 0.737428i | \(-0.736040\pi\) |
0.737428 | + | 0.675426i | \(0.236040\pi\) | |||||||
\(798\) | 7.78871e11 | 0.0679912 | ||||||||
\(799\) | −1.37191e12 | + | 1.53338e11i | −0.119087 | + | 0.0133104i | ||||
\(800\) | −8.26627e12 | −0.713518 | ||||||||
\(801\) | 5.50022e12 | − | 5.50022e12i | 0.472099 | − | 0.472099i | ||||
\(802\) | 2.30301e12 | + | 9.53937e11i | 0.196567 | + | 0.0814207i | ||||
\(803\) | 6.62474e12i | 0.562275i | ||||||||
\(804\) | −4.05542e12 | + | 9.79066e12i | −0.342282 | + | 0.826342i | ||||
\(805\) | −1.48961e12 | + | 6.17019e11i | −0.125024 | + | 0.0517865i | ||||
\(806\) | 1.55694e12 | + | 3.75879e12i | 0.129947 | + | 0.313719i | ||||
\(807\) | 1.68235e13 | + | 1.68235e13i | 1.39632 | + | 1.39632i | ||||
\(808\) | 5.56485e11 | + | 5.56485e11i | 0.0459306 | + | 0.0459306i | ||||
\(809\) | 3.16224e11 | + | 7.63431e11i | 0.0259553 | + | 0.0626616i | 0.936326 | − | 0.351133i | \(-0.114203\pi\) |
−0.910370 | + | 0.413794i | \(0.864203\pi\) | |||||||
\(810\) | 1.03077e13 | − | 4.26960e12i | 0.841357 | − | 0.348501i | ||||
\(811\) | 2.62424e12 | − | 6.33548e12i | 0.213015 | − | 0.514264i | −0.780869 | − | 0.624695i | \(-0.785223\pi\) |
0.993884 | + | 0.110431i | \(0.0352232\pi\) | |||||||
\(812\) | 8.52642e11i | 0.0688279i | ||||||||
\(813\) | 2.06470e12 | + | 8.55226e11i | 0.165748 | + | 0.0686552i | ||||
\(814\) | 2.76288e12 | − | 2.76288e12i | 0.220573 | − | 0.220573i | ||||
\(815\) | 5.06820e12 | 0.402388 | ||||||||
\(816\) | 1.74071e12 | − | 6.02195e12i | 0.137442 | − | 0.475479i | ||||
\(817\) | −2.80892e12 | −0.220567 | ||||||||
\(818\) | 1.14738e13 | − | 1.14738e13i | 0.896018 | − | 0.896018i | ||||
\(819\) | −1.86260e12 | − | 7.71514e11i | −0.144658 | − | 0.0599192i | ||||
\(820\) | 3.91475e12i | 0.302372i | ||||||||
\(821\) | −2.16955e12 | + | 5.23775e12i | −0.166658 | + | 0.402347i | −0.985040 | − | 0.172327i | \(-0.944871\pi\) |
0.818382 | + | 0.574674i | \(0.194871\pi\) | |||||||
\(822\) | −1.41855e13 | + | 5.87584e12i | −1.08373 | + | 0.448897i | ||||
\(823\) | −3.53714e12 | − | 8.53940e12i | −0.268752 | − | 0.648826i | 0.730673 | − | 0.682728i | \(-0.239207\pi\) |
−0.999425 | + | 0.0339021i | \(0.989207\pi\) | |||||||
\(824\) | −5.24481e12 | − | 5.24481e12i | −0.396331 | − | 0.396331i | ||||
\(825\) | 5.31145e12 | + | 5.31145e12i | 0.399182 | + | 0.399182i | ||||
\(826\) | −5.30749e11 | − | 1.28134e12i | −0.0396715 | − | 0.0957755i | ||||
\(827\) | −1.78895e13 | + | 7.41008e12i | −1.32992 | + | 0.550869i | −0.930631 | − | 0.365958i | \(-0.880741\pi\) |
−0.399284 | + | 0.916827i | \(0.630741\pi\) | |||||||
\(828\) | 1.22662e13 | − | 2.96132e13i | 0.906929 | − | 2.18952i | ||||
\(829\) | − | 3.41186e12i | − | 0.250897i | −0.992100 | − | 0.125449i | \(-0.959963\pi\) | ||
0.992100 | − | 0.125449i | \(-0.0400370\pi\) | |||||||
\(830\) | −4.92395e12 | − | 2.03957e12i | −0.360133 | − | 0.149172i | ||||
\(831\) | −2.89803e13 | + | 2.89803e13i | −2.10814 | + | 2.10814i | ||||
\(832\) | −4.48805e12 | −0.324716 | ||||||||
\(833\) | 1.05534e13 | + | 8.43144e12i | 0.759432 | + | 0.606735i | ||||
\(834\) | −2.38533e13 | −1.70727 | ||||||||
\(835\) | −7.36762e11 | + | 7.36762e11i | −0.0524491 | + | 0.0524491i | ||||
\(836\) | 7.17857e11 | + | 2.97346e11i | 0.0508288 | + | 0.0210540i | ||||
\(837\) | − | 5.41846e13i | − | 3.81602i | ||||||
\(838\) | 1.56971e12 | − | 3.78962e12i | 0.109957 | − | 0.265459i | ||||
\(839\) | 1.41482e12 | − | 5.86039e11i | 0.0985765 | − | 0.0408317i | −0.332850 | − | 0.942980i | \(-0.608010\pi\) |
0.431427 | + | 0.902148i | \(0.358010\pi\) | |||||||
\(840\) | −7.96912e11 | − | 1.92391e12i | −0.0552272 | − | 0.133330i | ||||
\(841\) | 3.12761e12 | + | 3.12761e12i | 0.215591 | + | 0.215591i | ||||
\(842\) | −3.27440e12 | − | 3.27440e12i | −0.224506 | − | 0.224506i | ||||
\(843\) | −1.04112e13 | − | 2.51349e13i | −0.710032 | − | 1.71417i | ||||
\(844\) | 3.75520e12 | − | 1.55545e12i | 0.254737 | − | 0.105515i | ||||
\(845\) | 2.11459e12 | − | 5.10506e12i | 0.142682 | − | 0.344466i | ||||
\(846\) | 3.24525e12i | 0.217812i | ||||||||
\(847\) | −2.00119e12 | − | 8.28919e11i | −0.133602 | − | 0.0553397i | ||||
\(848\) | −4.79057e12 | + | 4.79057e12i | −0.318131 | + | 0.318131i | ||||
\(849\) | −6.72998e12 | −0.444558 | ||||||||
\(850\) | 9.79694e11 | + | 8.76525e12i | 0.0643732 | + | 0.575943i | ||||
\(851\) | 3.42824e13 | 2.24072 | ||||||||
\(852\) | −1.15058e13 | + | 1.15058e13i | −0.748061 | + | 0.748061i | ||||
\(853\) | 2.66606e12 | + | 1.10432e12i | 0.172425 | + | 0.0714207i | 0.467226 | − | 0.884138i | \(-0.345253\pi\) |
−0.294801 | + | 0.955559i | \(0.595253\pi\) | |||||||
\(854\) | 1.49147e12i | 0.0959520i | ||||||||
\(855\) | −1.99441e12 | + | 4.81493e12i | −0.127634 | + | 0.308136i | ||||
\(856\) | 6.62954e12 | − | 2.74605e12i | 0.422038 | − | 0.174814i | ||||
\(857\) | 2.77867e12 | + | 6.70830e12i | 0.175964 | + | 0.424814i | 0.987113 | − | 0.160025i | \(-0.0511576\pi\) |
−0.811149 | + | 0.584839i | \(0.801158\pi\) | |||||||
\(858\) | 2.02918e12 | + | 2.02918e12i | 0.127829 | + | 0.127829i | ||||
\(859\) | −9.77487e12 | − | 9.77487e12i | −0.612550 | − | 0.612550i | 0.331060 | − | 0.943610i | \(-0.392594\pi\) |
−0.943610 | + | 0.331060i | \(0.892594\pi\) | |||||||
\(860\) | 9.49938e11 | + | 2.29335e12i | 0.0592178 | + | 0.142964i | ||||
\(861\) | 6.67802e12 | − | 2.76613e12i | 0.414127 | − | 0.171537i | ||||
\(862\) | 2.41543e12 | − | 5.83136e12i | 0.149009 | − | 0.359738i | ||||
\(863\) | 2.32472e13i | 1.42666i | 0.700826 | + | 0.713332i | \(0.252815\pi\) | ||||
−0.700826 | + | 0.713332i | \(0.747185\pi\) | |||||||
\(864\) | 3.88575e13 | + | 1.60953e13i | 2.37226 | + | 0.982623i | ||||
\(865\) | −1.08143e12 | + | 1.08143e12i | −0.0656789 | + | 0.0656789i | ||||
\(866\) | −1.34631e13 | −0.813420 | ||||||||
\(867\) | 3.09151e13 | + | 5.30942e12i | 1.85817 | + | 0.319125i | ||||
\(868\) | −1.79748e12 | −0.107480 | ||||||||
\(869\) | 2.12533e12 | − | 2.12533e12i | 0.126426 | − | 0.126426i | ||||
\(870\) | 7.52083e12 | + | 3.11523e12i | 0.445071 | + | 0.184354i | ||||
\(871\) | − | 5.98260e12i | − | 0.352215i | ||||||
\(872\) | −1.02753e13 | + | 2.48068e13i | −0.601827 | + | 1.45294i | ||||
\(873\) | −3.61790e13 | + | 1.49858e13i | −2.10811 | + | 0.873206i | ||||
\(874\) | −2.67525e12 | − | 6.45864e12i | −0.155083 | − | 0.374403i | ||||
\(875\) | 1.60223e12 | + | 1.60223e12i | 0.0924037 | + | 0.0924037i | ||||
\(876\) | −1.75458e13 | − | 1.75458e13i | −1.00671 | − | 1.00671i | ||||
\(877\) | 8.68351e12 | + | 2.09638e13i | 0.495675 | + | 1.19667i | 0.951792 | + | 0.306745i | \(0.0992399\pi\) |
−0.456117 | + | 0.889920i | \(0.650760\pi\) | |||||||
\(878\) | 1.88574e13 | − | 7.81100e12i | 1.07092 | − | 0.443590i | ||||
\(879\) | −1.50349e13 | + | 3.62975e13i | −0.849476 | + | 2.05082i | ||||
\(880\) | 7.39496e11i | 0.0415685i | ||||||||
\(881\) | 6.71594e12 | + | 2.78183e12i | 0.375591 | + | 0.155575i | 0.562490 | − | 0.826804i | \(-0.309844\pi\) |
−0.186899 | + | 0.982379i | \(0.559844\pi\) | |||||||
\(882\) | 2.24544e13 | − | 2.24544e13i | 1.24937 | − | 1.24937i | ||||
\(883\) | 2.86632e13 | 1.58673 | 0.793363 | − | 0.608749i | \(-0.208328\pi\) | ||||
0.793363 | + | 0.608749i | \(0.208328\pi\) | |||||||
\(884\) | −3.64997e11 | − | 3.26560e12i | −0.0201027 | − | 0.179857i | ||||
\(885\) | 1.29129e13 | 0.707587 | ||||||||
\(886\) | 1.20851e12 | − | 1.20851e12i | 0.0658868 | − | 0.0658868i | ||||
\(887\) | 1.26398e13 | + | 5.23556e12i | 0.685619 | + | 0.283993i | 0.698174 | − | 0.715929i | \(-0.253996\pi\) |
−0.0125547 | + | 0.999921i | \(0.503996\pi\) | |||||||
\(888\) | 4.42775e13i | 2.38960i | ||||||||
\(889\) | −5.75269e11 | + | 1.38882e12i | −0.0308896 | + | 0.0745742i | ||||
\(890\) | −1.38510e12 | + | 5.73728e11i | −0.0739992 | + | 0.0306515i | ||||
\(891\) | −7.86451e12 | − | 1.89866e13i | −0.418044 | − | 1.00925i | ||||
\(892\) | −1.58778e12 | − | 1.58778e12i | −0.0839748 | − | 0.0839748i | ||||
\(893\) | −4.88068e11 | − | 4.88068e11i | −0.0256832 | − | 0.0256832i | ||||
\(894\) | 7.57984e12 | + | 1.82994e13i | 0.396864 | + | 0.958114i | ||||
\(895\) | −2.08894e12 | + | 8.65268e11i | −0.108824 | + | 0.0450762i | ||||
\(896\) | 3.03347e11 | − | 7.32344e11i | 0.0157237 | − | 0.0379603i | ||||
\(897\) | 2.51785e13i | 1.29857i | ||||||||
\(898\) | −1.93121e13 | − | 7.99932e12i | −0.991027 | − | 0.410497i | ||||
\(899\) | 1.50320e13 | − | 1.50320e13i | 0.767537 | − | 0.767537i | ||||
\(900\) | −2.02200e13 | −1.02728 | ||||||||
\(901\) | −2.64866e13 | − | 2.11610e13i | −1.33895 | − | 1.06973i | ||||
\(902\) | −7.39430e12 | −0.371936 | ||||||||
\(903\) | 3.24092e12 | − | 3.24092e12i | 0.162209 | − | 0.162209i | ||||
\(904\) | 1.07574e13 | + | 4.45588e12i | 0.535736 | + | 0.221909i | ||||
\(905\) | − | 6.98431e12i | − | 0.346103i | ||||||
\(906\) | 2.39444e12 | − | 5.78069e12i | 0.118067 | − | 0.285038i | ||||
\(907\) | −1.60526e13 | + | 6.64919e12i | −0.787611 | + | 0.326239i | −0.739983 | − | 0.672626i | \(-0.765166\pi\) |
−0.0476285 | + | 0.998865i | \(0.515166\pi\) | |||||||
\(908\) | −3.85825e12 | − | 9.31465e12i | −0.188367 | − | 0.454758i | ||||
\(909\) | 2.27249e12 | + | 2.27249e12i | 0.110399 | + | 0.110399i | ||||
\(910\) | 2.74765e11 | + | 2.74765e11i | 0.0132824 | + | 0.0132824i | ||||
\(911\) | −2.52000e12 | − | 6.08382e12i | −0.121218 | − | 0.292647i | 0.851609 | − | 0.524177i | \(-0.175627\pi\) |
−0.972828 | + | 0.231530i | \(0.925627\pi\) | |||||||
\(912\) | 2.89570e12 | − | 1.19944e12i | 0.138604 | − | 0.0574117i | ||||
\(913\) | −3.75684e12 | + | 9.06982e12i | −0.178939 | + | 0.431996i | ||||
\(914\) | − | 1.55406e13i | − | 0.736565i | ||||||
\(915\) | −1.28294e13 | − | 5.31410e12i | −0.605077 | − | 0.250631i | ||||
\(916\) | −4.94577e12 | + | 4.94577e12i | −0.232116 | + | 0.232116i | ||||
\(917\) | 1.33406e12 | 0.0623035 | ||||||||
\(918\) | 1.24616e13 | − | 4.31106e13i | 0.579137 | − | 2.00351i | ||||
\(919\) | 2.27287e13 | 1.05112 | 0.525562 | − | 0.850755i | \(-0.323855\pi\) | ||||
0.525562 | + | 0.850755i | \(0.323855\pi\) | |||||||
\(920\) | −1.32165e13 | + | 1.32165e13i | −0.608233 | + | 0.608233i | ||||
\(921\) | −4.19598e13 | − | 1.73803e13i | −1.92161 | − | 0.795957i | ||||
\(922\) | 1.67669e13i | 0.764125i | ||||||||
\(923\) | 3.51531e12 | − | 8.48670e12i | 0.159425 | − | 0.384885i | ||||
\(924\) | −1.17134e12 | + | 4.85185e11i | −0.0528639 | + | 0.0218969i | ||||
\(925\) | −8.27601e12 | − | 1.99801e13i | −0.371692 | − | 0.897344i | ||||
\(926\) | 6.21060e12 | + | 6.21060e12i | 0.277577 | + | 0.277577i | ||||
\(927\) | −2.14180e13 | − | 2.14180e13i | −0.952622 | − | 0.952622i | ||||
\(928\) | 6.31475e12 | + | 1.52452e13i | 0.279505 | + | 0.674786i | ||||
\(929\) | 1.65317e13 | − | 6.84764e12i | 0.728192 | − | 0.301627i | 0.0123831 | − | 0.999923i | \(-0.496058\pi\) |
0.715809 | + | 0.698296i | \(0.246058\pi\) | |||||||
\(930\) | −6.56733e12 | + | 1.58549e13i | −0.287882 | + | 0.695010i | ||||
\(931\) | 6.75402e12i | 0.294638i | ||||||||
\(932\) | −1.07072e13 | − | 4.43506e12i | −0.464840 | − | 0.192543i | ||||
\(933\) | 5.21249e13 | − | 5.21249e13i | 2.25205 | − | 2.25205i | ||||
\(934\) | 1.84061e13 | 0.791411 | ||||||||
\(935\) | −3.67757e12 | + | 4.11042e11i | −0.157365 | + | 0.0175887i | ||||
\(936\) | −2.33709e13 | −0.995255 | ||||||||
\(937\) | 6.18210e11 | − | 6.18210e11i | 0.0262004 | − | 0.0262004i | −0.693885 | − | 0.720086i | \(-0.744103\pi\) |
0.720086 | + | 0.693885i | \(0.244103\pi\) | |||||||
\(938\) | −2.50406e12 | − | 1.03722e12i | −0.105617 | − | 0.0437479i | ||||
\(939\) | − | 2.95837e12i | − | 0.124182i | ||||||
\(940\) | −2.33427e11 | + | 5.63544e11i | −0.00975162 | + | 0.0235425i | ||||
\(941\) | 2.61313e13 | − | 1.08239e13i | 1.08644 | − | 0.450020i | 0.233679 | − | 0.972314i | \(-0.424924\pi\) |
0.852765 | + | 0.522294i | \(0.174924\pi\) | |||||||
\(942\) | 3.13407e12 | + | 7.56631e12i | 0.129682 | + | 0.313080i | ||||
\(943\) | −4.58751e13 | − | 4.58751e13i | −1.88918 | − | 1.88918i | ||||
\(944\) | −3.94645e12 | − | 3.94645e12i | −0.161746 | − | 0.161746i | ||||
\(945\) | −1.98042e12 | − | 4.78117e12i | −0.0807821 | − | 0.195025i | ||||
\(946\) | −4.33176e12 | + | 1.79427e12i | −0.175855 | + | 0.0728414i | ||||
\(947\) | −1.47132e13 | + | 3.55208e13i | −0.594474 | + | 1.43519i | 0.284668 | + | 0.958626i | \(0.408117\pi\) |
−0.879142 | + | 0.476560i | \(0.841883\pi\) | |||||||
\(948\) | 1.12580e13i | 0.452713i | ||||||||
\(949\) | 1.29418e13 | + | 5.36069e12i | 0.517962 | + | 0.214547i | ||||
\(950\) | −3.11832e12 | + | 3.11832e12i | −0.124212 | + | 0.124212i | ||||
\(951\) | 4.53617e13 | 1.79836 | ||||||||
\(952\) | −4.32675e12 | − | 1.25069e12i | −0.170724 | − | 0.0493497i | ||||
\(953\) | 1.03626e13 | 0.406960 | 0.203480 | − | 0.979079i | \(-0.434775\pi\) | ||||
0.203480 | + | 0.979079i | \(0.434775\pi\) | |||||||
\(954\) | −5.63555e13 | + | 5.63555e13i | −2.20277 | + | 2.20277i | ||||
\(955\) | 3.42623e12 | + | 1.41919e12i | 0.133291 | + | 0.0552110i | ||||
\(956\) | 1.89766e13i | 0.734779i | ||||||||
\(957\) | 5.73819e12 | − | 1.38532e13i | 0.221142 | − | 0.533884i | ||||
\(958\) | 5.88799e12 | − | 2.43888e12i | 0.225851 | − | 0.0935506i | ||||
\(959\) | 1.46553e12 | + | 3.53811e12i | 0.0559515 | + | 0.135079i | ||||
\(960\) | −1.33862e13 | − | 1.33862e13i | −0.508672 | − | 0.508672i | ||||
\(961\) | 1.29939e13 | + | 1.29939e13i | 0.491456 | + | 0.491456i | ||||
\(962\) | −3.16176e12 | − | 7.63315e12i | −0.119026 | − | 0.287353i | ||||
\(963\) | 2.70728e13 | − | 1.12139e13i | 1.01441 | − | 0.420183i | ||||
\(964\) | 5.91598e12 | − | 1.42824e13i | 0.220638 | − | 0.532667i | ||||
\(965\) | − | 3.34162e12i | − | 0.124046i | ||||||
\(966\) | 1.05387e13 | + | 4.36526e12i | 0.389393 | + | 0.161292i | ||||
\(967\) | −2.40002e13 | + | 2.40002e13i | −0.882666 | + | 0.882666i | −0.993805 | − | 0.111139i | \(-0.964550\pi\) |
0.111139 | + | 0.993805i | \(0.464550\pi\) | |||||||
\(968\) | −2.51099e13 | −0.919190 | ||||||||
\(969\) | 7.57443e12 | + | 1.37338e13i | 0.275990 | + | 0.500419i | ||||
\(970\) | 7.54768e12 | 0.273741 | ||||||||
\(971\) | −1.64348e12 | + | 1.64348e12i | −0.0593305 | + | 0.0593305i | −0.736149 | − | 0.676819i | \(-0.763358\pi\) |
0.676819 | + | 0.736149i | \(0.263358\pi\) | |||||||
\(972\) | 3.39094e13 | + | 1.40457e13i | 1.21849 | + | 0.504715i | ||||
\(973\) | 5.94941e12i | 0.212797i | ||||||||
\(974\) | 6.59752e12 | − | 1.59278e13i | 0.234890 | − | 0.567076i | ||||
\(975\) | 1.46743e13 | − | 6.07828e12i | 0.520038 | − | 0.215407i | ||||
\(976\) | 2.29682e12 | + | 5.54500e12i | 0.0810218 | + | 0.195604i | ||||
\(977\) | 7.92824e12 | + | 7.92824e12i | 0.278389 | + | 0.278389i | 0.832466 | − | 0.554077i | \(-0.186929\pi\) |
−0.554077 | + | 0.832466i | \(0.686929\pi\) | |||||||
\(978\) | −2.53542e13 | − | 2.53542e13i | −0.886188 | − | 0.886188i | ||||
\(979\) | 1.05680e12 | + | 2.55133e12i | 0.0367679 | + | 0.0887656i | ||||
\(980\) | 5.51436e12 | − | 2.28412e12i | 0.190975 | − | 0.0791046i | ||||
\(981\) | −4.19609e13 | + | 1.01303e14i | −1.44655 | + | 3.49229i | ||||
\(982\) | − | 7.77308e12i | − | 0.266742i | ||||||
\(983\) | −3.77585e13 | − | 1.56401e13i | −1.28980 | − | 0.534255i | −0.370877 | − | 0.928682i | \(-0.620943\pi\) |
−0.918927 | + | 0.394427i | \(0.870943\pi\) | |||||||
\(984\) | 5.92501e13 | − | 5.92501e13i | 2.01470 | − | 2.01470i | ||||
\(985\) | −1.15192e12 | −0.0389904 | ||||||||
\(986\) | 1.54170e13 | − | 8.50274e12i | 0.519462 | − | 0.286492i | ||||
\(987\) | 1.12626e12 | 0.0377758 | ||||||||
\(988\) | 1.16177e12 | − | 1.16177e12i | 0.0387894 | − | 0.0387894i | ||||
\(989\) | −3.80066e13 | − | 1.57428e13i | −1.26321 | − | 0.523239i | ||||
\(990\) | 8.69931e12i | 0.287824i | ||||||||
\(991\) | −1.17434e12 | + | 2.83510e12i | −0.0386778 | + | 0.0933764i | −0.942038 | − | 0.335506i | \(-0.891093\pi\) |
0.903360 | + | 0.428883i | \(0.141093\pi\) | |||||||
\(992\) | −3.21388e13 | + | 1.33123e13i | −1.05373 | + | 0.436468i | ||||
\(993\) | −2.84207e13 | − | 6.86137e13i | −0.927605 | − | 2.23944i | ||||
\(994\) | −2.94272e12 | − | 2.94272e12i | −0.0956114 | − | 0.0956114i | ||||
\(995\) | −9.95994e12 | − | 9.95994e12i | −0.322146 | − | 0.322146i | ||||
\(996\) | −1.40715e13 | − | 3.39717e13i | −0.453080 | − | 1.09383i | ||||
\(997\) | −9.99031e12 | + | 4.13812e12i | −0.320222 | + | 0.132640i | −0.537004 | − | 0.843580i | \(-0.680444\pi\) |
0.216782 | + | 0.976220i | \(0.430444\pi\) | |||||||
\(998\) | 5.10882e12 | − | 1.23338e13i | 0.163017 | − | 0.393558i | ||||
\(999\) | 1.10035e14i | 3.49531i |
(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 | 17.10.d.a.9.8 | yes | 52 | |
17.2 | even | 8 | inner | 17.10.d.a.2.8 | ✓ | 52 | |
17.6 | odd | 16 | 289.10.a.i.1.31 | 52 | |||
17.11 | odd | 16 | 289.10.a.i.1.32 | 52 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
17.10.d.a.2.8 | ✓ | 52 | 17.2 | even | 8 | inner | |
17.10.d.a.9.8 | yes | 52 | 1.1 | even | 1 | trivial | |
289.10.a.i.1.31 | 52 | 17.6 | odd | 16 | |||
289.10.a.i.1.32 | 52 | 17.11 | odd | 16 |