Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [13,7,Mod(2,13)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(13, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 7, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("13.2");
S:= CuspForms(chi, 7);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 13 \) |
Weight: | \( k \) | \(=\) | \( 7 \) |
Character orbit: | \([\chi]\) | \(=\) | 13.f (of order \(12\), 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: | \(2.99070308706\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 11.2 | ||
Character | \(\chi\) | \(=\) | 13.11 |
Dual form | 13.7.f.a.6.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/13\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{7}{12}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.74273 | + | 10.2360i | −0.342841 | + | 1.27950i | 0.552273 | + | 0.833663i | \(0.313760\pi\) |
−0.895114 | + | 0.445837i | \(0.852906\pi\) | |||||||
\(3\) | −22.3986 | − | 38.7956i | −0.829580 | − | 1.43687i | −0.898368 | − | 0.439243i | \(-0.855247\pi\) |
0.0687888 | − | 0.997631i | \(-0.478087\pi\) | |||||||
\(4\) | −41.8275 | − | 24.1491i | −0.653555 | − | 0.377330i | ||||
\(5\) | −35.0169 | − | 35.0169i | −0.280136 | − | 0.280136i | 0.553027 | − | 0.833163i | \(-0.313472\pi\) |
−0.833163 | + | 0.553027i | \(0.813472\pi\) | |||||||
\(6\) | 458.545 | − | 122.867i | 2.12289 | − | 0.568828i | ||||
\(7\) | −112.597 | − | 420.218i | −0.328271 | − | 1.22513i | −0.910982 | − | 0.412446i | \(-0.864675\pi\) |
0.582711 | − | 0.812679i | \(-0.301992\pi\) | |||||||
\(8\) | −117.658 | + | 117.658i | −0.229800 | + | 0.229800i | ||||
\(9\) | −638.899 | + | 1106.61i | −0.876405 | + | 1.51798i | ||||
\(10\) | 454.475 | − | 262.391i | 0.454475 | − | 0.262391i | ||||
\(11\) | −1837.55 | − | 492.370i | −1.38058 | − | 0.369925i | −0.509248 | − | 0.860620i | \(-0.670076\pi\) |
−0.871331 | + | 0.490695i | \(0.836743\pi\) | |||||||
\(12\) | 2163.63i | 1.25210i | ||||||||
\(13\) | 2158.38 | + | 410.139i | 0.982421 | + | 0.186681i | ||||
\(14\) | 4610.17 | 1.68009 | ||||||||
\(15\) | −574.171 | + | 2142.84i | −0.170125 | + | 0.634914i | ||||
\(16\) | −2427.18 | − | 4204.01i | −0.592574 | − | 1.02637i | ||||
\(17\) | 2973.01 | + | 1716.47i | 0.605132 | + | 0.349373i | 0.771058 | − | 0.636765i | \(-0.219728\pi\) |
−0.165926 | + | 0.986138i | \(0.553061\pi\) | |||||||
\(18\) | −9574.89 | − | 9574.89i | −1.64178 | − | 1.64178i | ||||
\(19\) | 1319.54 | − | 353.570i | 0.192381 | − | 0.0515483i | −0.161342 | − | 0.986899i | \(-0.551582\pi\) |
0.353723 | + | 0.935350i | \(0.384916\pi\) | |||||||
\(20\) | 619.043 | + | 2310.30i | 0.0773803 | + | 0.288787i | ||||
\(21\) | −13780.6 | + | 13780.6i | −1.48802 | + | 1.48802i | ||||
\(22\) | 10079.8 | − | 17458.7i | 0.946638 | − | 1.63963i | ||||
\(23\) | 4730.68 | − | 2731.26i | 0.388812 | − | 0.224481i | −0.292833 | − | 0.956164i | \(-0.594598\pi\) |
0.681645 | + | 0.731683i | \(0.261265\pi\) | |||||||
\(24\) | 7199.97 | + | 1929.23i | 0.520831 | + | 0.139556i | ||||
\(25\) | − | 13172.6i | − | 0.843048i | ||||||
\(26\) | −10118.0 | + | 20968.3i | −0.575673 | + | 1.19300i | ||||
\(27\) | 24584.7 | 1.24903 | ||||||||
\(28\) | −5438.24 | + | 20295.8i | −0.247733 | + | 0.924553i | ||||
\(29\) | 6245.69 | + | 10817.9i | 0.256086 | + | 0.443555i | 0.965190 | − | 0.261550i | \(-0.0842335\pi\) |
−0.709104 | + | 0.705104i | \(0.750900\pi\) | |||||||
\(30\) | −20359.3 | − | 11754.4i | −0.754047 | − | 0.435349i | ||||
\(31\) | −39371.6 | − | 39371.6i | −1.32160 | − | 1.32160i | −0.912485 | − | 0.409111i | \(-0.865839\pi\) |
−0.409111 | − | 0.912485i | \(-0.634161\pi\) | |||||||
\(32\) | 39403.0 | − | 10558.0i | 1.20248 | − | 0.322205i | ||||
\(33\) | 22056.9 | + | 82317.3i | 0.613764 | + | 2.29060i | ||||
\(34\) | −25723.9 | + | 25723.9i | −0.654487 | + | 0.654487i | ||||
\(35\) | −10771.9 | + | 18657.5i | −0.251241 | + | 0.435161i | ||||
\(36\) | 53447.1 | − | 30857.7i | 1.14556 | − | 0.661387i | ||||
\(37\) | −41656.4 | − | 11161.8i | −0.822388 | − | 0.220358i | −0.176998 | − | 0.984211i | \(-0.556638\pi\) |
−0.645390 | + | 0.763853i | \(0.723305\pi\) | |||||||
\(38\) | 14476.6i | 0.263824i | ||||||||
\(39\) | −32433.2 | − | 92922.1i | −0.546758 | − | 1.56648i | ||||
\(40\) | 8240.02 | 0.128750 | ||||||||
\(41\) | 9281.22 | − | 34638.0i | 0.134665 | − | 0.502575i | −0.865334 | − | 0.501195i | \(-0.832894\pi\) |
0.999999 | − | 0.00138043i | \(-0.000439406\pi\) | |||||||
\(42\) | −103262. | − | 178854.i | −1.39377 | − | 2.41408i | ||||
\(43\) | 80790.5 | + | 46644.4i | 1.01614 | + | 0.586671i | 0.912985 | − | 0.407994i | \(-0.133772\pi\) |
0.103159 | + | 0.994665i | \(0.467105\pi\) | |||||||
\(44\) | 64969.8 | + | 64969.8i | 0.762700 | + | 0.762700i | ||||
\(45\) | 61122.2 | − | 16377.6i | 0.670751 | − | 0.179727i | ||||
\(46\) | 14982.2 | + | 55914.4i | 0.153923 | + | 0.574447i | ||||
\(47\) | 31648.7 | − | 31648.7i | 0.304833 | − | 0.304833i | −0.538068 | − | 0.842901i | \(-0.680846\pi\) |
0.842901 | + | 0.538068i | \(0.180846\pi\) | |||||||
\(48\) | −108731. | + | 188328.i | −0.983175 | + | 1.70291i | ||||
\(49\) | −62018.0 | + | 35806.1i | −0.527144 | + | 0.304347i | ||||
\(50\) | 134835. | + | 36128.9i | 1.07868 | + | 0.289031i | ||||
\(51\) | − | 153786.i | − | 1.15933i | ||||||
\(52\) | −80375.0 | − | 69278.0i | −0.571625 | − | 0.492703i | ||||
\(53\) | −162774. | −1.09334 | −0.546672 | − | 0.837347i | \(-0.684106\pi\) | ||||
−0.546672 | + | 0.837347i | \(0.684106\pi\) | |||||||
\(54\) | −67429.0 | + | 251649.i | −0.428219 | + | 1.59813i | ||||
\(55\) | 47104.1 | + | 81586.7i | 0.283120 | + | 0.490378i | ||||
\(56\) | 62689.7 | + | 36193.9i | 0.356970 | + | 0.206097i | ||||
\(57\) | −43272.9 | − | 43272.9i | −0.233664 | − | 0.233664i | ||||
\(58\) | −127862. | + | 34260.5i | −0.655325 | + | 0.175594i | ||||
\(59\) | 15131.0 | + | 56469.6i | 0.0736735 | + | 0.274953i | 0.992929 | − | 0.118708i | \(-0.0378751\pi\) |
−0.919256 | + | 0.393661i | \(0.871208\pi\) | |||||||
\(60\) | 75763.7 | − | 75763.7i | 0.350758 | − | 0.350758i | ||||
\(61\) | 98176.5 | − | 170047.i | 0.432532 | − | 0.749167i | −0.564559 | − | 0.825393i | \(-0.690954\pi\) |
0.997091 | + | 0.0762257i | \(0.0242869\pi\) | |||||||
\(62\) | 510994. | − | 295022.i | 2.14408 | − | 1.23788i | ||||
\(63\) | 536954. | + | 143876.i | 2.14741 | + | 0.575397i | ||||
\(64\) | 121607.i | 0.463896i | ||||||||
\(65\) | −61218.0 | − | 89941.6i | −0.222915 | − | 0.327507i | ||||
\(66\) | −903096. | −3.14125 | ||||||||
\(67\) | −31145.1 | + | 116235.i | −0.103554 | + | 0.386468i | −0.998177 | − | 0.0603532i | \(-0.980777\pi\) |
0.894623 | + | 0.446821i | \(0.147444\pi\) | |||||||
\(68\) | −82902.4 | − | 143591.i | −0.263658 | − | 0.456669i | ||||
\(69\) | −211922. | − | 122353.i | −0.645102 | − | 0.372450i | ||||
\(70\) | −161434. | − | 161434.i | −0.470653 | − | 0.470653i | ||||
\(71\) | 47294.5 | − | 12672.5i | 0.132140 | − | 0.0354069i | −0.192143 | − | 0.981367i | \(-0.561544\pi\) |
0.324283 | + | 0.945960i | \(0.394877\pi\) | |||||||
\(72\) | −55029.2 | − | 205372.i | −0.147433 | − | 0.550229i | ||||
\(73\) | 18999.6 | − | 18999.6i | 0.0488400 | − | 0.0488400i | −0.682265 | − | 0.731105i | \(-0.739005\pi\) |
0.731105 | + | 0.682265i | \(0.239005\pi\) | |||||||
\(74\) | 228504. | − | 395781.i | 0.563896 | − | 0.976697i | ||||
\(75\) | −511040. | + | 295049.i | −1.21135 | + | 0.699376i | ||||
\(76\) | −63731.5 | − | 17076.8i | −0.145182 | − | 0.0389015i | ||||
\(77\) | 827611.i | 1.81282i | ||||||||
\(78\) | 1.04011e6 | − | 77125.7i | 2.19176 | − | 0.162523i | ||||
\(79\) | −91032.3 | −0.184635 | −0.0923175 | − | 0.995730i | \(-0.529427\pi\) | ||||
−0.0923175 | + | 0.995730i | \(0.529427\pi\) | |||||||
\(80\) | −62218.9 | + | 232204.i | −0.121521 | + | 0.453523i | ||||
\(81\) | −84905.9 | − | 147061.i | −0.159765 | − | 0.276722i | ||||
\(82\) | 329099. | + | 190005.i | 0.596877 | + | 0.344607i | ||||
\(83\) | 240687. | + | 240687.i | 0.420939 | + | 0.420939i | 0.885527 | − | 0.464588i | \(-0.153798\pi\) |
−0.464588 | + | 0.885527i | \(0.653798\pi\) | |||||||
\(84\) | 909196. | − | 243618.i | 1.53398 | − | 0.411029i | ||||
\(85\) | −44000.3 | − | 164211.i | −0.0716471 | − | 0.267391i | ||||
\(86\) | −699039. | + | 699039.i | −1.09902 | + | 1.09902i | ||||
\(87\) | 279790. | − | 484611.i | 0.424888 | − | 0.735928i | ||||
\(88\) | 274133. | − | 158271.i | 0.402266 | − | 0.232248i | ||||
\(89\) | −1.15977e6 | − | 310760.i | −1.64514 | − | 0.440813i | −0.686892 | − | 0.726760i | \(-0.741025\pi\) |
−0.958246 | + | 0.285946i | \(0.907692\pi\) | |||||||
\(90\) | 670566.i | 0.919844i | ||||||||
\(91\) | −70679.2 | − | 953169.i | −0.0937924 | − | 1.26487i | ||||
\(92\) | −263830. | −0.338814 | ||||||||
\(93\) | −645575. | + | 2.40932e6i | −0.802598 | + | 2.99533i | ||||
\(94\) | 237152. | + | 410760.i | 0.285525 | + | 0.494544i | ||||
\(95\) | −58587.2 | − | 33825.4i | −0.0683333 | − | 0.0394522i | ||||
\(96\) | −1.29218e6 | − | 1.29218e6i | −1.46052 | − | 1.46052i | ||||
\(97\) | 469423. | − | 125781.i | 0.514338 | − | 0.137817i | 0.00769174 | − | 0.999970i | \(-0.497552\pi\) |
0.506646 | + | 0.862154i | \(0.330885\pi\) | |||||||
\(98\) | −196413. | − | 733022.i | −0.208685 | − | 0.778823i | ||||
\(99\) | 1.71887e6 | − | 1.71887e6i | 1.77148 | − | 1.77148i | ||||
\(100\) | −318107. | + | 550978.i | −0.318107 | + | 0.550978i | ||||
\(101\) | −783713. | + | 452477.i | −0.760664 | + | 0.439170i | −0.829534 | − | 0.558456i | \(-0.811394\pi\) |
0.0688700 | + | 0.997626i | \(0.478061\pi\) | |||||||
\(102\) | 1.57416e6 | + | 421794.i | 1.48336 | + | 0.397466i | ||||
\(103\) | − | 765882.i | − | 0.700890i | −0.936583 | − | 0.350445i | \(-0.886030\pi\) | ||
0.936583 | − | 0.350445i | \(-0.113970\pi\) | |||||||
\(104\) | −302206. | + | 205694.i | −0.268660 | + | 0.182861i | ||||
\(105\) | 965108. | 0.833696 | ||||||||
\(106\) | 446444. | − | 1.66615e6i | 0.374843 | − | 1.39893i | ||||
\(107\) | −281545. | − | 487651.i | −0.229825 | − | 0.398068i | 0.727931 | − | 0.685650i | \(-0.240482\pi\) |
−0.957756 | + | 0.287582i | \(0.907149\pi\) | |||||||
\(108\) | −1.02831e6 | − | 593698.i | −0.816310 | − | 0.471297i | ||||
\(109\) | 744338. | + | 744338.i | 0.574766 | + | 0.574766i | 0.933456 | − | 0.358691i | \(-0.116777\pi\) |
−0.358691 | + | 0.933456i | \(0.616777\pi\) | |||||||
\(110\) | −964315. | + | 258387.i | −0.724504 | + | 0.194130i | ||||
\(111\) | 500018. | + | 1.86609e6i | 0.365609 | + | 1.36447i | ||||
\(112\) | −1.49330e6 | + | 1.49330e6i | −1.06290 | + | 1.06290i | ||||
\(113\) | 1.27719e6 | − | 2.21215e6i | 0.885154 | − | 1.53313i | 0.0396172 | − | 0.999215i | \(-0.487386\pi\) |
0.845537 | − | 0.533917i | \(-0.179281\pi\) | |||||||
\(114\) | 561627. | − | 324256.i | 0.379082 | − | 0.218863i | ||||
\(115\) | −261294. | − | 70013.6i | −0.171805 | − | 0.0460351i | ||||
\(116\) | − | 603312.i | − | 0.386516i | ||||||
\(117\) | −1.83285e6 | + | 2.12644e6i | −1.14438 | + | 1.32768i | ||||
\(118\) | −619523. | −0.377061 | ||||||||
\(119\) | 386539. | − | 1.44258e6i | 0.229378 | − | 0.856051i | ||||
\(120\) | −184565. | − | 319676.i | −0.106809 | − | 0.184998i | ||||
\(121\) | 1.59995e6 | + | 923730.i | 0.903128 | + | 0.521421i | ||||
\(122\) | 1.47133e6 | + | 1.47133e6i | 0.810270 | + | 0.810270i | ||||
\(123\) | −1.55169e6 | + | 415774.i | −0.833853 | + | 0.223430i | ||||
\(124\) | 696027. | + | 2.59761e6i | 0.365057 | + | 1.36241i | ||||
\(125\) | −1.00840e6 | + | 1.00840e6i | −0.516303 | + | 0.516303i | ||||
\(126\) | −2.94543e6 | + | 5.10164e6i | −1.47244 | + | 2.55034i | ||||
\(127\) | 1.97165e6 | − | 1.13833e6i | 0.962541 | − | 0.555724i | 0.0655872 | − | 0.997847i | \(-0.479108\pi\) |
0.896954 | + | 0.442123i | \(0.145775\pi\) | |||||||
\(128\) | 1.27702e6 | + | 342176.i | 0.608930 | + | 0.163162i | ||||
\(129\) | − | 4.17909e6i | − | 1.94676i | ||||||
\(130\) | 1.08855e6 | − | 379942.i | 0.495469 | − | 0.172937i | ||||
\(131\) | 480340. | 0.213666 | 0.106833 | − | 0.994277i | \(-0.465929\pi\) | ||||
0.106833 | + | 0.994277i | \(0.465929\pi\) | |||||||
\(132\) | 1.06531e6 | − | 3.97578e6i | 0.463183 | − | 1.72862i | ||||
\(133\) | −297153. | − | 514684.i | −0.126306 | − | 0.218769i | ||||
\(134\) | −1.10436e6 | − | 637603.i | −0.458983 | − | 0.264994i | ||||
\(135\) | −860880. | − | 860880.i | −0.349898 | − | 0.349898i | ||||
\(136\) | −551753. | + | 147842.i | −0.219345 | + | 0.0587734i | ||||
\(137\) | −284731. | − | 1.06263e6i | −0.110732 | − | 0.413258i | 0.888200 | − | 0.459457i | \(-0.151956\pi\) |
−0.998932 | + | 0.0461990i | \(0.985289\pi\) | |||||||
\(138\) | 1.83365e6 | − | 1.83365e6i | 0.697717 | − | 0.697717i | ||||
\(139\) | −1.74244e6 | + | 3.01799e6i | −0.648803 | + | 1.12376i | 0.334607 | + | 0.942358i | \(0.391397\pi\) |
−0.983409 | + | 0.181401i | \(0.941937\pi\) | |||||||
\(140\) | 901127. | − | 520266.i | 0.328399 | − | 0.189601i | ||||
\(141\) | −1.93672e6 | − | 518942.i | −0.690891 | − | 0.185124i | ||||
\(142\) | 518864.i | 0.181213i | ||||||||
\(143\) | −3.76419e6 | − | 1.81637e6i | −1.28725 | − | 0.621150i | ||||
\(144\) | 6.20290e6 | 2.07734 | ||||||||
\(145\) | 160103. | − | 597513.i | 0.0525165 | − | 0.195994i | ||||
\(146\) | 142369. | + | 246590.i | 0.0457464 | + | 0.0792351i | ||||
\(147\) | 2.77824e6 | + | 1.60402e6i | 0.874616 | + | 0.504960i | ||||
\(148\) | 1.47284e6 | + | 1.47284e6i | 0.454328 | + | 0.454328i | ||||
\(149\) | 177890. | − | 47665.4i | 0.0537764 | − | 0.0144093i | −0.231831 | − | 0.972756i | \(-0.574471\pi\) |
0.285607 | + | 0.958347i | \(0.407805\pi\) | |||||||
\(150\) | −1.61848e6 | − | 6.04024e6i | −0.479549 | − | 1.78970i | ||||
\(151\) | −506362. | + | 506362.i | −0.147072 | + | 0.147072i | −0.776809 | − | 0.629737i | \(-0.783163\pi\) |
0.629737 | + | 0.776809i | \(0.283163\pi\) | |||||||
\(152\) | −113654. | + | 196854.i | −0.0323633 | + | 0.0560550i | ||||
\(153\) | −3.79891e6 | + | 2.19330e6i | −1.06068 | + | 0.612384i | ||||
\(154\) | −8.47143e6 | − | 2.26991e6i | −2.31950 | − | 0.621508i | ||||
\(155\) | 2.75735e6i | 0.740452i | ||||||||
\(156\) | −887389. | + | 4.66993e6i | −0.233744 | + | 1.23009i | ||||
\(157\) | 4.96205e6 | 1.28222 | 0.641109 | − | 0.767450i | \(-0.278475\pi\) | ||||
0.641109 | + | 0.767450i | \(0.278475\pi\) | |||||||
\(158\) | 249677. | − | 931806.i | 0.0633004 | − | 0.236240i | ||||
\(159\) | 3.64592e6 | + | 6.31491e6i | 0.907016 | + | 1.57100i | ||||
\(160\) | −1.74948e6 | − | 1.01006e6i | −0.427120 | − | 0.246598i | ||||
\(161\) | −1.68039e6 | − | 1.68039e6i | −0.402653 | − | 0.402653i | ||||
\(162\) | 1.73819e6 | − | 465747.i | 0.408840 | − | 0.109548i | ||||
\(163\) | −319624. | − | 1.19285e6i | −0.0738035 | − | 0.275438i | 0.919156 | − | 0.393894i | \(-0.128872\pi\) |
−0.992959 | + | 0.118456i | \(0.962206\pi\) | |||||||
\(164\) | −1.22469e6 | + | 1.22469e6i | −0.277648 | + | 0.277648i | ||||
\(165\) | 2.11014e6 | − | 3.65486e6i | 0.469741 | − | 0.813616i | ||||
\(166\) | −3.12381e6 | + | 1.80353e6i | −0.682906 | + | 0.394276i | ||||
\(167\) | 5.05372e6 | + | 1.35414e6i | 1.08508 | + | 0.290746i | 0.756675 | − | 0.653791i | \(-0.226822\pi\) |
0.328405 | + | 0.944537i | \(0.393489\pi\) | |||||||
\(168\) | − | 3.24278e6i | − | 0.683895i | ||||||
\(169\) | 4.49038e6 | + | 1.77047e6i | 0.930300 | + | 0.366799i | ||||
\(170\) | 1.80155e6 | 0.366690 | ||||||||
\(171\) | −451791. | + | 1.68611e6i | −0.0903544 | + | 0.337207i | ||||
\(172\) | −2.25284e6 | − | 3.90204e6i | −0.442737 | − | 0.766843i | ||||
\(173\) | 3.33895e6 | + | 1.92775e6i | 0.644870 | + | 0.372316i | 0.786488 | − | 0.617606i | \(-0.211897\pi\) |
−0.141618 | + | 0.989921i | \(0.545231\pi\) | |||||||
\(174\) | 4.19309e6 | + | 4.19309e6i | 0.795951 | + | 0.795951i | ||||
\(175\) | −5.53537e6 | + | 1.48320e6i | −1.03284 | + | 0.276748i | ||||
\(176\) | 2.39015e6 | + | 8.92015e6i | 0.438416 | + | 1.63619i | ||||
\(177\) | 1.85186e6 | − | 1.85186e6i | 0.333955 | − | 0.333955i | ||||
\(178\) | 6.36187e6 | − | 1.10191e7i | 1.12804 | − | 1.95382i | ||||
\(179\) | −6.89365e6 | + | 3.98005e6i | −1.20196 | + | 0.693952i | −0.960991 | − | 0.276581i | \(-0.910799\pi\) |
−0.240969 | + | 0.970533i | \(0.577465\pi\) | |||||||
\(180\) | −2.95210e6 | − | 791012.i | −0.506189 | − | 0.135633i | ||||
\(181\) | 3.85125e6i | 0.649480i | 0.945803 | + | 0.324740i | \(0.105277\pi\) | ||||
−0.945803 | + | 0.324740i | \(0.894723\pi\) | |||||||
\(182\) | 9.95050e6 | + | 1.89081e6i | 1.65056 | + | 0.313642i | ||||
\(183\) | −8.79609e6 | −1.43528 | ||||||||
\(184\) | −235247. | + | 877954.i | −0.0377634 | + | 0.140935i | ||||
\(185\) | 1.06783e6 | + | 1.84953e6i | 0.168650 | + | 0.292110i | ||||
\(186\) | −2.28911e7 | − | 1.32162e7i | −3.55737 | − | 2.05385i | ||||
\(187\) | −4.61792e6 | − | 4.61792e6i | −0.706190 | − | 0.706190i | ||||
\(188\) | −2.08808e6 | + | 559498.i | −0.314248 | + | 0.0842025i | ||||
\(189\) | −2.76816e6 | − | 1.03309e7i | −0.410021 | − | 1.53022i | ||||
\(190\) | 506925. | − | 506925.i | 0.0739066 | − | 0.0739066i | ||||
\(191\) | 3.72332e6 | − | 6.44898e6i | 0.534355 | − | 0.925531i | −0.464839 | − | 0.885395i | \(-0.653888\pi\) |
0.999194 | − | 0.0401354i | \(-0.0127789\pi\) | |||||||
\(192\) | 4.71783e6 | − | 2.72384e6i | 0.666559 | − | 0.384838i | ||||
\(193\) | −2.45144e6 | − | 656860.i | −0.340996 | − | 0.0913695i | 0.0842574 | − | 0.996444i | \(-0.473148\pi\) |
−0.425253 | + | 0.905075i | \(0.639815\pi\) | |||||||
\(194\) | 5.14999e6i | 0.705345i | ||||||||
\(195\) | −2.11814e6 | + | 4.38956e6i | −0.285661 | + | 0.591994i | ||||
\(196\) | 3.45874e6 | 0.459357 | ||||||||
\(197\) | 3.17394e6 | − | 1.18453e7i | 0.415145 | − | 1.54934i | −0.369400 | − | 0.929270i | \(-0.620437\pi\) |
0.784545 | − | 0.620072i | \(-0.212896\pi\) | |||||||
\(198\) | 1.28799e7 | + | 2.23087e7i | 1.65928 | + | 2.87395i | ||||
\(199\) | 9.99408e6 | + | 5.77009e6i | 1.26819 | + | 0.732189i | 0.974645 | − | 0.223757i | \(-0.0718322\pi\) |
0.293543 | + | 0.955946i | \(0.405166\pi\) | |||||||
\(200\) | 1.54986e6 | + | 1.54986e6i | 0.193732 | + | 0.193732i | ||||
\(201\) | 5.20702e6 | − | 1.39522e6i | 0.641212 | − | 0.171812i | ||||
\(202\) | −2.48204e6 | − | 9.26311e6i | −0.301131 | − | 1.12383i | ||||
\(203\) | 3.84261e6 | − | 3.84261e6i | 0.459344 | − | 0.459344i | ||||
\(204\) | −3.71381e6 | + | 6.43250e6i | −0.437450 | + | 0.757686i | ||||
\(205\) | −1.53792e6 | + | 887917.i | −0.178514 | + | 0.103065i | ||||
\(206\) | 7.83956e6 | + | 2.10060e6i | 0.896789 | + | 0.240294i | ||||
\(207\) | 6.98000e6i | 0.786945i | ||||||||
\(208\) | −3.51455e6 | − | 1.00693e7i | −0.390553 | − | 1.11895i | ||||
\(209\) | −2.59881e6 | −0.284666 | ||||||||
\(210\) | −2.64703e6 | + | 9.87884e6i | −0.285825 | + | 1.06671i | ||||
\(211\) | −9.00955e6 | − | 1.56050e7i | −0.959082 | − | 1.66118i | −0.724737 | − | 0.689026i | \(-0.758039\pi\) |
−0.234345 | − | 0.972153i | \(-0.575295\pi\) | |||||||
\(212\) | 6.80842e6 | + | 3.93085e6i | 0.714561 | + | 0.412552i | ||||
\(213\) | −1.55097e6 | − | 1.55097e6i | −0.160496 | − | 0.160496i | ||||
\(214\) | 5.76379e6 | − | 1.54440e6i | 0.588121 | − | 0.157587i | ||||
\(215\) | −1.19569e6 | − | 4.46238e6i | −0.120311 | − | 0.449005i | ||||
\(216\) | −2.89257e6 | + | 2.89257e6i | −0.287027 | + | 0.287027i | ||||
\(217\) | −1.21115e7 | + | 2.09778e7i | −1.18528 | + | 2.05296i | ||||
\(218\) | −9.66056e6 | + | 5.57753e6i | −0.932466 | + | 0.538359i | ||||
\(219\) | −1.16267e6 | − | 311535.i | −0.110694 | − | 0.0296603i | ||||
\(220\) | − | 4.55009e6i | − | 0.427319i | ||||||
\(221\) | 5.71289e6 | + | 4.92414e6i | 0.529272 | + | 0.456198i | ||||
\(222\) | −2.04728e7 | −1.87119 | ||||||||
\(223\) | −3.89432e6 | + | 1.45338e7i | −0.351170 | + | 1.31058i | 0.534067 | + | 0.845442i | \(0.320663\pi\) |
−0.885237 | + | 0.465141i | \(0.846004\pi\) | |||||||
\(224\) | −8.87333e6 | − | 1.53691e7i | −0.789482 | − | 1.36742i | ||||
\(225\) | 1.45769e7 | + | 8.41598e6i | 1.27973 | + | 0.738851i | ||||
\(226\) | 1.91406e7 | + | 1.91406e7i | 1.65818 | + | 1.65818i | ||||
\(227\) | −1.59344e7 | + | 4.26961e6i | −1.36225 | + | 0.365015i | −0.864643 | − | 0.502386i | \(-0.832455\pi\) |
−0.497610 | + | 0.867401i | \(0.665789\pi\) | |||||||
\(228\) | 764995. | + | 2.85500e6i | 0.0645437 | + | 0.240880i | ||||
\(229\) | 1.18424e7 | − | 1.18424e7i | 0.986129 | − | 0.986129i | −0.0137758 | − | 0.999905i | \(-0.504385\pi\) |
0.999905 | + | 0.0137758i | \(0.00438511\pi\) | |||||||
\(230\) | 1.43332e6 | − | 2.48258e6i | 0.117804 | − | 0.204042i | ||||
\(231\) | 3.21077e7 | − | 1.85374e7i | 2.60479 | − | 1.50388i | ||||
\(232\) | −2.00766e6 | − | 537950.i | −0.160778 | − | 0.0430802i | ||||
\(233\) | − | 7.43970e6i | − | 0.588149i | −0.955782 | − | 0.294075i | \(-0.904989\pi\) | ||
0.955782 | − | 0.294075i | \(-0.0950114\pi\) | |||||||
\(234\) | −1.67392e7 | − | 2.45933e7i | −1.30643 | − | 1.91941i | ||||
\(235\) | −2.21648e6 | −0.170789 | ||||||||
\(236\) | 730800. | − | 2.72738e6i | 0.0555984 | − | 0.207496i | ||||
\(237\) | 2.03900e6 | + | 3.53165e6i | 0.153169 | + | 0.265297i | ||||
\(238\) | 1.37061e7 | + | 7.91322e6i | 1.01668 | + | 0.586979i | ||||
\(239\) | −6.12730e6 | − | 6.12730e6i | −0.448823 | − | 0.448823i | 0.446140 | − | 0.894963i | \(-0.352798\pi\) |
−0.894963 | + | 0.446140i | \(0.852798\pi\) | |||||||
\(240\) | 1.04021e7 | − | 2.78724e6i | 0.752467 | − | 0.201623i | ||||
\(241\) | 2.04649e6 | + | 7.63762e6i | 0.146204 | + | 0.545641i | 0.999699 | + | 0.0245395i | \(0.00781195\pi\) |
−0.853495 | + | 0.521101i | \(0.825521\pi\) | |||||||
\(242\) | −1.38435e7 | + | 1.38435e7i | −0.976788 | + | 0.976788i | ||||
\(243\) | 5.15756e6 | − | 8.93315e6i | 0.359439 | − | 0.622566i | ||||
\(244\) | −8.21296e6 | + | 4.74175e6i | −0.565366 | + | 0.326414i | ||||
\(245\) | 3.42550e6 | + | 917860.i | 0.232930 | + | 0.0624134i | ||||
\(246\) | − | 1.70234e7i | − | 1.14352i | ||||||
\(247\) | 2.99308e6 | − | 221942.i | 0.198622 | − | 0.0147282i | ||||
\(248\) | 9.26475e6 | 0.607405 | ||||||||
\(249\) | 3.94654e6 | − | 1.47287e7i | 0.255634 | − | 0.954038i | ||||
\(250\) | −7.55625e6 | − | 1.30878e7i | −0.483600 | − | 0.837620i | ||||
\(251\) | −2.56187e7 | − | 1.47909e7i | −1.62008 | − | 0.935351i | −0.986898 | − | 0.161345i | \(-0.948417\pi\) |
−0.633178 | − | 0.774006i | \(-0.718250\pi\) | |||||||
\(252\) | −1.89849e7 | − | 1.89849e7i | −1.18634 | − | 1.18634i | ||||
\(253\) | −1.00377e7 | + | 2.68958e6i | −0.619827 | + | 0.166082i | ||||
\(254\) | 6.24428e6 | + | 2.33040e7i | 0.381050 | + | 1.42210i | ||||
\(255\) | −5.38513e6 | + | 5.38513e6i | −0.324770 | + | 0.324770i | ||||
\(256\) | −1.08965e7 | + | 1.88732e7i | −0.649480 | + | 1.12493i | ||||
\(257\) | 9.33621e6 | − | 5.39026e6i | 0.550011 | − | 0.317549i | −0.199116 | − | 0.979976i | \(-0.563807\pi\) |
0.749126 | + | 0.662427i | \(0.230474\pi\) | |||||||
\(258\) | 4.27772e7 | + | 1.14621e7i | 2.49088 | + | 0.667429i | ||||
\(259\) | 1.87616e7i | 1.07986i | ||||||||
\(260\) | 388584. | + | 5.24039e6i | 0.0221088 | + | 0.298156i | ||||
\(261\) | −1.59615e7 | −0.897741 | ||||||||
\(262\) | −1.31744e6 | + | 4.91676e6i | −0.0732533 | + | 0.273385i | ||||
\(263\) | −6.80533e6 | − | 1.17872e7i | −0.374095 | − | 0.647952i | 0.616096 | − | 0.787671i | \(-0.288713\pi\) |
−0.990191 | + | 0.139719i | \(0.955380\pi\) | |||||||
\(264\) | −1.22804e7 | − | 7.09010e6i | −0.667423 | − | 0.385337i | ||||
\(265\) | 5.69984e6 | + | 5.69984e6i | 0.306285 | + | 0.306285i | ||||
\(266\) | 6.08331e6 | − | 1.63002e6i | 0.323218 | − | 0.0866060i | ||||
\(267\) | 1.39212e7 | + | 5.19546e7i | 0.731379 | + | 2.72954i | ||||
\(268\) | 4.10970e6 | − | 4.10970e6i | 0.213504 | − | 0.213504i | ||||
\(269\) | 4.72355e6 | − | 8.18142e6i | 0.242667 | − | 0.420312i | −0.718806 | − | 0.695211i | \(-0.755311\pi\) |
0.961473 | + | 0.274899i | \(0.0886443\pi\) | |||||||
\(270\) | 1.11731e7 | − | 6.45080e6i | 0.567653 | − | 0.327735i | ||||
\(271\) | −4.86135e6 | − | 1.30259e6i | −0.244258 | − | 0.0654487i | 0.134613 | − | 0.990898i | \(-0.457021\pi\) |
−0.378871 | + | 0.925450i | \(0.623688\pi\) | |||||||
\(272\) | − | 1.66647e7i | − | 0.828118i | ||||||
\(273\) | −3.53957e7 | + | 2.40917e7i | −1.73965 | + | 1.18408i | ||||
\(274\) | 1.16580e7 | 0.566726 | ||||||||
\(275\) | −6.48581e6 | + | 2.42054e7i | −0.311865 | + | 1.16389i | ||||
\(276\) | 5.90944e6 | + | 1.02354e7i | 0.281073 | + | 0.486832i | ||||
\(277\) | −470330. | − | 271545.i | −0.0221291 | − | 0.0127762i | 0.488895 | − | 0.872343i | \(-0.337400\pi\) |
−0.511024 | + | 0.859567i | \(0.670734\pi\) | |||||||
\(278\) | −2.61131e7 | − | 2.61131e7i | −1.21541 | − | 1.21541i | ||||
\(279\) | 6.87234e7 | − | 1.84144e7i | 3.16440 | − | 0.847900i | ||||
\(280\) | −927802. | − | 3.46260e6i | −0.0422650 | − | 0.157735i | ||||
\(281\) | −5.98773e6 | + | 5.98773e6i | −0.269863 | + | 0.269863i | −0.829045 | − | 0.559182i | \(-0.811115\pi\) |
0.559182 | + | 0.829045i | \(0.311115\pi\) | |||||||
\(282\) | 1.06238e7 | − | 1.84009e7i | 0.473731 | − | 0.820527i | ||||
\(283\) | −4.18888e6 | + | 2.41845e6i | −0.184816 | + | 0.106703i | −0.589553 | − | 0.807730i | \(-0.700696\pi\) |
0.404738 | + | 0.914433i | \(0.367363\pi\) | |||||||
\(284\) | −2.28424e6 | − | 612061.i | −0.0997211 | − | 0.0267202i | ||||
\(285\) | 3.03057e6i | 0.130915i | ||||||||
\(286\) | 2.89165e7 | − | 3.35484e7i | 1.23608 | − | 1.43408i | ||||
\(287\) | −1.56005e7 | −0.659924 | ||||||||
\(288\) | −1.34910e7 | + | 5.03491e7i | −0.564763 | + | 2.10773i | ||||
\(289\) | −6.17625e6 | − | 1.06976e7i | −0.255877 | − | 0.443192i | ||||
\(290\) | 5.67703e6 | + | 3.27763e6i | 0.232770 | + | 0.134390i | ||||
\(291\) | −1.53942e7 | − | 1.53942e7i | −0.624709 | − | 0.624709i | ||||
\(292\) | −1.25353e6 | + | 335882.i | −0.0503484 | + | 0.0134908i | ||||
\(293\) | 87568.3 | + | 326809.i | 0.00348132 | + | 0.0129925i | 0.967645 | − | 0.252317i | \(-0.0811926\pi\) |
−0.964163 | + | 0.265309i | \(0.914526\pi\) | |||||||
\(294\) | −2.40387e7 | + | 2.40387e7i | −0.945950 | + | 0.945950i | ||||
\(295\) | 1.44755e6 | − | 2.50723e6i | 0.0563856 | − | 0.0976627i | ||||
\(296\) | 6.21446e6 | − | 3.58792e6i | 0.239623 | − | 0.138346i | ||||
\(297\) | −4.51756e7 | − | 1.21048e7i | −1.72438 | − | 0.462048i | ||||
\(298\) | 1.95161e6i | 0.0737470i | ||||||||
\(299\) | 1.13308e7 | − | 3.95485e6i | 0.423884 | − | 0.147951i | ||||
\(300\) | 2.85007e7 | 1.05558 | ||||||||
\(301\) | 1.05041e7 | − | 3.92017e7i | 0.385174 | − | 1.43749i | ||||
\(302\) | −3.79431e6 | − | 6.57193e6i | −0.137756 | − | 0.238601i | ||||
\(303\) | 3.51082e7 | + | 2.02697e7i | 1.26206 | + | 0.728652i | ||||
\(304\) | −4.68918e6 | − | 4.68918e6i | −0.166908 | − | 0.166908i | ||||
\(305\) | −9.39236e6 | + | 2.51667e6i | −0.331036 | + | 0.0887008i | ||||
\(306\) | −1.20313e7 | − | 4.49013e7i | −0.419901 | − | 1.56709i | ||||
\(307\) | −3.39944e6 | + | 3.39944e6i | −0.117488 | + | 0.117488i | −0.763406 | − | 0.645919i | \(-0.776475\pi\) |
0.645919 | + | 0.763406i | \(0.276475\pi\) | |||||||
\(308\) | 1.99861e7 | − | 3.46169e7i | 0.684030 | − | 1.18478i | ||||
\(309\) | −2.97128e7 | + | 1.71547e7i | −1.00709 | + | 0.581444i | ||||
\(310\) | −2.82242e7 | − | 7.56266e6i | −0.947408 | − | 0.253857i | ||||
\(311\) | 3.40131e7i | 1.13075i | 0.824836 | + | 0.565373i | \(0.191268\pi\) | ||||
−0.824836 | + | 0.565373i | \(0.808732\pi\) | |||||||
\(312\) | 1.47490e7 | + | 7.11699e6i | 0.485623 | + | 0.234332i | ||||
\(313\) | 4.48299e7 | 1.46196 | 0.730979 | − | 0.682400i | \(-0.239064\pi\) | ||||
0.730979 | + | 0.682400i | \(0.239064\pi\) | |||||||
\(314\) | −1.36095e7 | + | 5.07915e7i | −0.439597 | + | 1.64060i | ||||
\(315\) | −1.37644e7 | − | 2.38406e7i | −0.440377 | − | 0.762755i | ||||
\(316\) | 3.80765e6 | + | 2.19835e6i | 0.120669 | + | 0.0696683i | ||||
\(317\) | 9.35503e6 | + | 9.35503e6i | 0.293675 | + | 0.293675i | 0.838530 | − | 0.544855i | \(-0.183415\pi\) |
−0.544855 | + | 0.838530i | \(0.683415\pi\) | |||||||
\(318\) | −7.46392e7 | + | 1.99995e7i | −2.32105 | + | 0.621925i | ||||
\(319\) | −6.15039e6 | − | 2.29536e7i | −0.189466 | − | 0.707095i | ||||
\(320\) | 4.25832e6 | − | 4.25832e6i | 0.129954 | − | 0.129954i | ||||
\(321\) | −1.26125e7 | + | 2.18454e7i | −0.381316 | + | 0.660458i | ||||
\(322\) | 2.18093e7 | − | 1.25916e7i | 0.653241 | − | 0.377149i | ||||
\(323\) | 4.52990e6 | + | 1.21378e6i | 0.134425 | + | 0.0360192i | ||||
\(324\) | 8.20161e6i | 0.241137i | ||||||||
\(325\) | 5.40261e6 | − | 2.84315e7i | 0.157381 | − | 0.828228i | ||||
\(326\) | 1.30867e7 | 0.377726 | ||||||||
\(327\) | 1.22049e7 | − | 4.55492e7i | 0.349052 | − | 1.30268i | ||||
\(328\) | 2.98342e6 | + | 5.16743e6i | 0.0845459 | + | 0.146438i | ||||
\(329\) | −1.68629e7 | − | 9.73581e6i | −0.473527 | − | 0.273391i | ||||
\(330\) | 3.16236e7 | + | 3.16236e7i | 0.879975 | + | 0.879975i | ||||
\(331\) | 6.54407e7 | − | 1.75348e7i | 1.80453 | − | 0.483522i | 0.809859 | − | 0.586624i | \(-0.199543\pi\) |
0.994671 | + | 0.103102i | \(0.0328767\pi\) | |||||||
\(332\) | −4.25496e6 | − | 1.58797e7i | −0.116274 | − | 0.433939i | ||||
\(333\) | 3.89659e7 | − | 3.89659e7i | 1.05524 | − | 1.05524i | ||||
\(334\) | −2.77220e7 | + | 4.80158e7i | −0.744020 | + | 1.28868i | ||||
\(335\) | 5.16081e6 | − | 2.97959e6i | 0.137272 | − | 0.0792543i | ||||
\(336\) | 9.13817e7 | + | 2.44856e7i | 2.40902 | + | 0.645496i | ||||
\(337\) | 5.67785e7i | 1.48352i | 0.670663 | + | 0.741762i | \(0.266010\pi\) | ||||
−0.670663 | + | 0.741762i | \(0.733990\pi\) | |||||||
\(338\) | −3.04384e7 | + | 4.11076e7i | −0.788265 | + | 1.06457i | ||||
\(339\) | −1.14429e8 | −2.93722 | ||||||||
\(340\) | −2.12514e6 | + | 7.93112e6i | −0.0540692 | + | 0.201789i | ||||
\(341\) | 5.29620e7 | + | 9.17328e7i | 1.33568 | + | 2.31346i | ||||
\(342\) | −1.60199e7 | − | 9.24907e6i | −0.400479 | − | 0.231217i | ||||
\(343\) | −1.41619e7 | − | 1.41619e7i | −0.350945 | − | 0.350945i | ||||
\(344\) | −1.49937e7 | + | 4.01755e6i | −0.368327 | + | 0.0986929i | ||||
\(345\) | 3.13642e6 | + | 1.17053e7i | 0.0763795 | + | 0.285052i | ||||
\(346\) | −2.88902e7 | + | 2.88902e7i | −0.697466 | + | 0.697466i | ||||
\(347\) | 2.88325e7 | − | 4.99393e7i | 0.690071 | − | 1.19524i | −0.281744 | − | 0.959490i | \(-0.590913\pi\) |
0.971814 | − | 0.235748i | \(-0.0757539\pi\) | |||||||
\(348\) | −2.34058e7 | + | 1.35134e7i | −0.555375 | + | 0.320646i | ||||
\(349\) | −1.91080e7 | − | 5.11998e6i | −0.449510 | − | 0.120446i | 0.0269602 | − | 0.999637i | \(-0.491417\pi\) |
−0.476470 | + | 0.879191i | \(0.658084\pi\) | |||||||
\(350\) | − | 6.07281e7i | − | 1.41640i | ||||||
\(351\) | 5.30630e7 | + | 1.00831e7i | 1.22707 | + | 0.233171i | ||||
\(352\) | −7.76035e7 | −1.77932 | ||||||||
\(353\) | 1.34885e7 | − | 5.03397e7i | 0.306647 | − | 1.14442i | −0.624872 | − | 0.780728i | \(-0.714849\pi\) |
0.931518 | − | 0.363694i | \(-0.118485\pi\) | |||||||
\(354\) | 1.38765e7 | + | 2.40348e7i | 0.312802 | + | 0.541789i | ||||
\(355\) | −2.09986e6 | − | 1.21236e6i | −0.0469360 | − | 0.0270985i | ||||
\(356\) | 4.10057e7 | + | 4.10057e7i | 0.908855 | + | 0.908855i | ||||
\(357\) | −6.46238e7 | + | 1.73159e7i | −1.42033 | + | 0.380575i | ||||
\(358\) | −2.18324e7 | − | 8.14796e7i | −0.475830 | − | 1.77582i | ||||
\(359\) | 3.32982e7 | − | 3.32982e7i | 0.719677 | − | 0.719677i | −0.248862 | − | 0.968539i | \(-0.580057\pi\) |
0.968539 | + | 0.248862i | \(0.0800566\pi\) | |||||||
\(360\) | −5.26454e6 | + | 9.11845e6i | −0.112837 | + | 0.195440i | ||||
\(361\) | −3.91268e7 | + | 2.25898e7i | −0.831672 | + | 0.480166i | ||||
\(362\) | −3.94214e7 | − | 1.05629e7i | −0.831009 | − | 0.222668i | ||||
\(363\) | − | 8.27612e7i | − | 1.73024i | ||||||
\(364\) | −2.00619e7 | + | 4.15755e7i | −0.415975 | + | 0.862052i | ||||
\(365\) | −1.33061e6 | −0.0273636 | ||||||||
\(366\) | 2.41253e7 | − | 9.00367e7i | 0.492072 | − | 1.83644i | ||||
\(367\) | −7.64573e6 | − | 1.32428e7i | −0.154675 | − | 0.267905i | 0.778266 | − | 0.627935i | \(-0.216100\pi\) |
−0.932941 | + | 0.360030i | \(0.882766\pi\) | |||||||
\(368\) | −2.29645e7 | − | 1.32585e7i | −0.460800 | − | 0.266043i | ||||
\(369\) | 3.24008e7 | + | 3.24008e7i | 0.644877 | + | 0.644877i | ||||
\(370\) | −2.18606e7 | + | 5.85752e6i | −0.431575 | + | 0.115640i | ||||
\(371\) | 1.83279e7 | + | 6.84005e7i | 0.358914 | + | 1.33948i | ||||
\(372\) | 8.51857e7 | − | 8.51857e7i | 1.65477 | − | 1.65477i | ||||
\(373\) | −2.38613e7 | + | 4.13291e7i | −0.459799 | + | 0.796396i | −0.998950 | − | 0.0458134i | \(-0.985412\pi\) |
0.539151 | + | 0.842209i | \(0.318745\pi\) | |||||||
\(374\) | 5.99347e7 | − | 3.46033e7i | 1.14568 | − | 0.661459i | ||||
\(375\) | 6.17086e7 | + | 1.65348e7i | 1.17018 | + | 0.313548i | ||||
\(376\) | 7.44742e6i | 0.140101i | ||||||||
\(377\) | 9.04374e6 | + | 2.59106e7i | 0.168781 | + | 0.483564i | ||||
\(378\) | 1.13340e8 | 2.09849 | ||||||||
\(379\) | −1.63755e6 | + | 6.11142e6i | −0.0300800 | + | 0.112260i | −0.979334 | − | 0.202252i | \(-0.935174\pi\) |
0.949254 | + | 0.314512i | \(0.101841\pi\) | |||||||
\(380\) | 1.63371e6 | + | 2.82966e6i | 0.0297730 | + | 0.0515684i | ||||
\(381\) | −8.83248e7 | − | 5.09943e7i | −1.59701 | − | 0.922034i | ||||
\(382\) | 5.57997e7 | + | 5.57997e7i | 1.00102 | + | 1.00102i | ||||
\(383\) | −2.14519e7 | + | 5.74801e6i | −0.381829 | + | 0.102311i | −0.444628 | − | 0.895716i | \(-0.646664\pi\) |
0.0627990 | + | 0.998026i | \(0.479997\pi\) | |||||||
\(384\) | −1.53286e7 | − | 5.72070e7i | −0.270712 | − | 1.01031i | ||||
\(385\) | 2.89804e7 | − | 2.89804e7i | 0.507835 | − | 0.507835i | ||||
\(386\) | 1.34472e7 | − | 2.32913e7i | 0.233815 | − | 0.404979i | ||||
\(387\) | −1.03234e8 | + | 5.96022e7i | −1.78111 | + | 1.02832i | ||||
\(388\) | −2.26723e7 | − | 6.07502e6i | −0.388150 | − | 0.104005i | ||||
\(389\) | 1.23645e7i | 0.210052i | 0.994469 | + | 0.105026i | \(0.0334926\pi\) | ||||
−0.994469 | + | 0.105026i | \(0.966507\pi\) | |||||||
\(390\) | −3.91220e7 | − | 3.37206e7i | −0.659520 | − | 0.568462i | ||||
\(391\) | 1.87525e7 | 0.313710 | ||||||||
\(392\) | 3.08403e6 | − | 1.15097e7i | 0.0511988 | − | 0.191077i | ||||
\(393\) | −1.07590e7 | − | 1.86351e7i | −0.177253 | − | 0.307011i | ||||
\(394\) | 1.12543e8 | + | 6.49769e7i | 1.84005 | + | 1.06236i | ||||
\(395\) | 3.18767e6 | + | 3.18767e6i | 0.0517228 | + | 0.0517228i | ||||
\(396\) | −1.13405e8 | + | 3.03868e7i | −1.82620 | + | 0.489327i | ||||
\(397\) | 4.15671e6 | + | 1.55130e7i | 0.0664321 | + | 0.247928i | 0.991154 | − | 0.132715i | \(-0.0423694\pi\) |
−0.924722 | + | 0.380643i | \(0.875703\pi\) | |||||||
\(398\) | −8.64736e7 | + | 8.64736e7i | −1.37162 | + | 1.37162i | ||||
\(399\) | −1.33116e7 | + | 2.30565e7i | −0.209562 | + | 0.362973i | ||||
\(400\) | −5.53778e7 | + | 3.19724e7i | −0.865278 | + | 0.499569i | ||||
\(401\) | −7.96929e7 | − | 2.13537e7i | −1.23591 | − | 0.331161i | −0.419032 | − | 0.907972i | \(-0.637630\pi\) |
−0.816878 | + | 0.576811i | \(0.804297\pi\) | |||||||
\(402\) | 5.71258e7i | 0.879335i | ||||||||
\(403\) | −6.88310e7 | − | 1.01127e8i | −1.05165 | − | 1.54508i | ||||
\(404\) | 4.37077e7 | 0.662847 | ||||||||
\(405\) | −2.17649e6 | + | 8.12278e6i | −0.0327636 | + | 0.122276i | ||||
\(406\) | 2.87937e7 | + | 4.98722e7i | 0.430249 | + | 0.745213i | ||||
\(407\) | 7.10500e7 | + | 4.10207e7i | 1.05386 | + | 0.608444i | ||||
\(408\) | 1.80941e7 | + | 1.80941e7i | 0.266414 | + | 0.266414i | ||||
\(409\) | 6.40200e7 | − | 1.71541e7i | 0.935720 | − | 0.250725i | 0.241428 | − | 0.970419i | \(-0.422384\pi\) |
0.694292 | + | 0.719694i | \(0.255718\pi\) | |||||||
\(410\) | −4.87063e6 | − | 1.81774e7i | −0.0706697 | − | 0.263743i | ||||
\(411\) | −3.48478e7 | + | 3.48478e7i | −0.501938 | + | 0.501938i | ||||
\(412\) | −1.84954e7 | + | 3.20349e7i | −0.264467 | + | 0.458070i | ||||
\(413\) | 2.20258e7 | − | 1.27166e7i | 0.312667 | − | 0.180518i | ||||
\(414\) | −7.14472e7 | − | 1.91442e7i | −1.00690 | − | 0.269797i | ||||
\(415\) | − | 1.68563e7i | − | 0.235840i | ||||||
\(416\) | 8.93768e7 | − | 6.62745e6i | 1.24150 | − | 0.0920591i | ||||
\(417\) | 1.56113e8 | 2.15293 | ||||||||
\(418\) | 7.12783e6 | − | 2.66014e7i | 0.0975952 | − | 0.364230i | ||||
\(419\) | 5.81531e6 | + | 1.00724e7i | 0.0790553 | + | 0.136928i | 0.902843 | − | 0.429971i | \(-0.141476\pi\) |
−0.823787 | + | 0.566899i | \(0.808143\pi\) | |||||||
\(420\) | −4.03680e7 | − | 2.33065e7i | −0.544866 | − | 0.314579i | ||||
\(421\) | −2.21342e7 | − | 2.21342e7i | −0.296631 | − | 0.296631i | 0.543062 | − | 0.839693i | \(-0.317265\pi\) |
−0.839693 | + | 0.543062i | \(0.817265\pi\) | |||||||
\(422\) | 1.84444e8 | − | 4.94215e7i | 2.45429 | − | 0.657625i | ||||
\(423\) | 1.48023e7 | + | 5.52430e7i | 0.195573 | + | 0.729888i | ||||
\(424\) | 1.91516e7 | − | 1.91516e7i | 0.251251 | − | 0.251251i | ||||
\(425\) | 2.26104e7 | − | 3.91624e7i | 0.294538 | − | 0.510155i | ||||
\(426\) | 2.01296e7 | − | 1.16219e7i | 0.260380 | − | 0.150330i | ||||
\(427\) | −8.25111e7 | − | 2.21088e7i | −1.05981 | − | 0.283976i | ||||
\(428\) | 2.71963e7i | 0.346879i | ||||||||
\(429\) | 1.38455e7 | + | 1.86718e8i | 0.175362 | + | 2.36491i | ||||
\(430\) | 4.89564e7 | 0.615750 | ||||||||
\(431\) | −2.81478e7 | + | 1.05049e8i | −0.351571 | + | 1.31208i | 0.533174 | + | 0.846006i | \(0.320999\pi\) |
−0.884745 | + | 0.466076i | \(0.845667\pi\) | |||||||
\(432\) | −5.96715e7 | − | 1.03354e8i | −0.740143 | − | 1.28197i | ||||
\(433\) | −1.07623e7 | − | 6.21361e6i | −0.132569 | − | 0.0765385i | 0.432249 | − | 0.901754i | \(-0.357720\pi\) |
−0.564818 | + | 0.825216i | \(0.691053\pi\) | |||||||
\(434\) | −1.81510e8 | − | 1.81510e8i | −2.22040 | − | 2.22040i | ||||
\(435\) | −2.67670e7 | + | 7.17219e6i | −0.325186 | + | 0.0871333i | ||||
\(436\) | −1.31587e7 | − | 4.91089e7i | −0.158764 | − | 0.592517i | ||||
\(437\) | 5.27664e6 | − | 5.27664e6i | 0.0632285 | − | 0.0632285i | ||||
\(438\) | 6.37775e6 | − | 1.10466e7i | 0.0759006 | − | 0.131464i | ||||
\(439\) | 1.21251e8 | − | 7.00045e7i | 1.43315 | − | 0.827432i | 0.435794 | − | 0.900046i | \(-0.356467\pi\) |
0.997360 | + | 0.0726141i | \(0.0231342\pi\) | |||||||
\(440\) | −1.51414e7 | − | 4.05714e6i | −0.177750 | − | 0.0476279i | ||||
\(441\) | − | 9.15059e7i | − | 1.06692i | ||||||
\(442\) | −6.60724e7 | + | 4.49716e7i | −0.765162 | + | 0.520801i | ||||
\(443\) | −5.57799e6 | −0.0641603 | −0.0320802 | − | 0.999485i | \(-0.510213\pi\) | ||||
−0.0320802 | + | 0.999485i | \(0.510213\pi\) | |||||||
\(444\) | 2.41500e7 | − | 9.01291e7i | 0.275911 | − | 1.02971i | ||||
\(445\) | 2.97298e7 | + | 5.14935e7i | 0.337374 | + | 0.584349i | ||||
\(446\) | −1.38087e8 | − | 7.97245e7i | −1.55649 | − | 0.898643i | ||||
\(447\) | −5.83369e6 | − | 5.83369e6i | −0.0653162 | − | 0.0653162i | ||||
\(448\) | 5.11016e7 | − | 1.36926e7i | 0.568330 | − | 0.152284i | ||||
\(449\) | −2.77229e7 | − | 1.03463e8i | −0.306267 | − | 1.14300i | −0.931849 | − | 0.362845i | \(-0.881805\pi\) |
0.625583 | − | 0.780158i | \(-0.284861\pi\) | |||||||
\(450\) | −1.26126e8 | + | 1.26126e8i | −1.38410 | + | 1.38410i | ||||
\(451\) | −3.41094e7 | + | 5.90793e7i | −0.371830 | + | 0.644029i | ||||
\(452\) | −1.06843e8 | + | 6.16858e7i | −1.15699 | + | 0.667990i | ||||
\(453\) | 3.09864e7 | + | 8.30279e6i | 0.333332 | + | 0.0893160i | ||||
\(454\) | − | 1.74815e8i | − | 1.86814i | ||||||
\(455\) | −3.09021e7 | + | 3.58520e7i | −0.328060 | + | 0.380610i | ||||
\(456\) | 1.01828e7 | 0.107392 | ||||||||
\(457\) | 2.34105e7 | − | 8.73693e7i | 0.245280 | − | 0.915399i | −0.727962 | − | 0.685618i | \(-0.759532\pi\) |
0.973242 | − | 0.229781i | \(-0.0738011\pi\) | |||||||
\(458\) | 8.87384e7 | + | 1.53699e8i | 0.923667 | + | 1.59984i | ||||
\(459\) | 7.30905e7 | + | 4.21988e7i | 0.755828 | + | 0.436377i | ||||
\(460\) | 9.23852e6 | + | 9.23852e6i | 0.0949137 | + | 0.0949137i | ||||
\(461\) | −4.74836e7 | + | 1.27232e7i | −0.484664 | + | 0.129865i | −0.492873 | − | 0.870101i | \(-0.664053\pi\) |
0.00820964 | + | 0.999966i | \(0.497387\pi\) | |||||||
\(462\) | 1.01686e8 | + | 3.79497e8i | 1.03118 | + | 3.84842i | ||||
\(463\) | −3.72735e7 | + | 3.72735e7i | −0.375541 | + | 0.375541i | −0.869490 | − | 0.493950i | \(-0.835553\pi\) |
0.493950 | + | 0.869490i | \(0.335553\pi\) | |||||||
\(464\) | 3.03189e7 | − | 5.25139e7i | 0.303500 | − | 0.525678i | ||||
\(465\) | 1.06973e8 | − | 6.17609e7i | 1.06394 | − | 0.614264i | ||||
\(466\) | 7.61527e7 | + | 2.04051e7i | 0.752537 | + | 0.201642i | ||||
\(467\) | 1.88934e8i | 1.85507i | 0.373735 | + | 0.927535i | \(0.378077\pi\) | ||||
−0.373735 | + | 0.927535i | \(0.621923\pi\) | |||||||
\(468\) | 1.28015e8 | − | 4.46818e7i | 1.24889 | − | 0.435906i | ||||
\(469\) | 5.23510e7 | 0.507465 | ||||||||
\(470\) | 6.07921e6 | − | 2.26879e7i | 0.0585536 | − | 0.218525i | ||||
\(471\) | −1.11143e8 | − | 1.92506e8i | −1.06370 | − | 1.84239i | ||||
\(472\) | −8.42436e6 | − | 4.86380e6i | −0.0801144 | − | 0.0462541i | ||||
\(473\) | −1.25490e8 | − | 1.25490e8i | −1.18584 | − | 1.18584i | ||||
\(474\) | −4.17424e7 | + | 1.11848e7i | −0.391961 | + | 0.105026i | ||||
\(475\) | −4.65745e6 | − | 1.73818e7i | −0.0434577 | − | 0.162186i | ||||
\(476\) | −5.10050e7 | + | 5.10050e7i | −0.472925 | + | 0.472925i | ||||
\(477\) | 1.03996e8 | − | 1.80126e8i | 0.958212 | − | 1.65967i | ||||
\(478\) | 7.95245e7 | − | 4.59135e7i | 0.728144 | − | 0.420394i | ||||
\(479\) | 1.61769e8 | + | 4.33459e7i | 1.47194 | + | 0.394404i | 0.903594 | − | 0.428389i | \(-0.140919\pi\) |
0.568341 | + | 0.822793i | \(0.307585\pi\) | |||||||
\(480\) | 9.04963e7i | 0.818289i | ||||||||
\(481\) | −8.53324e7 | − | 4.11763e7i | −0.766794 | − | 0.370009i | ||||
\(482\) | −8.37916e7 | −0.748272 | ||||||||
\(483\) | −2.75532e7 | + | 1.02830e8i | −0.244529 | + | 0.912595i | ||||
\(484\) | −4.46145e7 | − | 7.72746e7i | −0.393496 | − | 0.681555i | ||||
\(485\) | −2.08422e7 | − | 1.20333e7i | −0.182692 | − | 0.105477i | ||||
\(486\) | 7.72939e7 | + | 7.72939e7i | 0.673343 | + | 0.673343i | ||||
\(487\) | −1.33546e8 | + | 3.57835e7i | −1.15623 | + | 0.309810i | −0.785459 | − | 0.618914i | \(-0.787573\pi\) |
−0.370770 | + | 0.928725i | \(0.620906\pi\) | |||||||
\(488\) | 8.45608e6 | + | 3.15585e7i | 0.0727628 | + | 0.271554i | ||||
\(489\) | −3.91183e7 | + | 3.91183e7i | −0.334544 | + | 0.334544i | ||||
\(490\) | −1.87904e7 | + | 3.25460e7i | −0.159716 | + | 0.276636i | ||||
\(491\) | 3.54372e7 | − | 2.04597e7i | 0.299375 | − | 0.172844i | −0.342787 | − | 0.939413i | \(-0.611371\pi\) |
0.642162 | + | 0.766569i | \(0.278038\pi\) | |||||||
\(492\) | 7.49438e7 | + | 2.00811e7i | 0.629275 | + | 0.168614i | ||||
\(493\) | 4.28822e7i | 0.357879i | ||||||||
\(494\) | −5.93741e6 | + | 3.12459e7i | −0.0492511 | + | 0.259186i | ||||
\(495\) | −1.20379e8 | −0.992511 | ||||||||
\(496\) | −6.99564e7 | + | 2.61081e8i | −0.573301 | + | 2.13959i | ||||
\(497\) | −1.06504e7 | − | 1.84471e7i | −0.0867558 | − | 0.150266i | ||||
\(498\) | 1.39938e8 | + | 8.07935e7i | 1.13305 | + | 0.654167i | ||||
\(499\) | 1.11022e8 | + | 1.11022e8i | 0.893529 | + | 0.893529i | 0.994853 | − | 0.101324i | \(-0.0323080\pi\) |
−0.101324 | + | 0.994853i | \(0.532308\pi\) | |||||||
\(500\) | 6.65311e7 | − | 1.78270e7i | 0.532249 | − | 0.142616i | ||||
\(501\) | −6.06618e7 | − | 2.26393e8i | −0.482394 | − | 1.80032i | ||||
\(502\) | 2.21665e8 | − | 2.21665e8i | 1.75221 | − | 1.75221i | ||||
\(503\) | −5.26695e7 | + | 9.12262e7i | −0.413861 | + | 0.716829i | −0.995308 | − | 0.0967555i | \(-0.969154\pi\) |
0.581447 | + | 0.813584i | \(0.302487\pi\) | |||||||
\(504\) | −8.01048e7 | + | 4.62485e7i | −0.625701 | + | 0.361249i | ||||
\(505\) | 4.32876e7 | + | 1.15989e7i | 0.336116 | + | 0.0900620i | ||||
\(506\) | − | 1.10122e8i | − | 0.850009i | ||||||
\(507\) | −3.18920e7 | − | 2.13863e8i | −0.244714 | − | 1.64101i | ||||
\(508\) | −1.09959e8 | −0.838765 | ||||||||
\(509\) | −2.05536e7 | + | 7.67073e7i | −0.155860 | + | 0.581679i | 0.843170 | + | 0.537647i | \(0.180687\pi\) |
−0.999030 | + | 0.0440313i | \(0.985980\pi\) | |||||||
\(510\) | −4.03522e7 | − | 6.98921e7i | −0.304198 | − | 0.526887i | ||||
\(511\) | −1.01233e7 | − | 5.84467e6i | −0.0758679 | − | 0.0438023i | ||||
\(512\) | −1.03470e8 | − | 1.03470e8i | −0.770915 | − | 0.770915i | ||||
\(513\) | 3.24405e7 | − | 8.69240e6i | 0.240290 | − | 0.0643854i | ||||
\(514\) | 2.95680e7 | + | 1.10349e8i | 0.217737 | + | 0.812607i | ||||
\(515\) | −2.68188e7 | + | 2.68188e7i | −0.196344 | + | 0.196344i | ||||
\(516\) | −1.00921e8 | + | 1.74801e8i | −0.734571 | + | 1.27231i | ||||
\(517\) | −7.37390e7 | + | 4.25732e7i | −0.533612 | + | 0.308081i | ||||
\(518\) | −1.92043e8 | − | 5.14578e7i | −1.38169 | − | 0.370222i | ||||
\(519\) | − | 1.72716e8i | − | 1.23546i | ||||||
\(520\) | 1.77851e7 | + | 3.37955e6i | 0.126487 | + | 0.0240353i | ||||
\(521\) | 1.34838e8 | 0.953451 | 0.476726 | − | 0.879052i | \(-0.341823\pi\) | ||||
0.476726 | + | 0.879052i | \(0.341823\pi\) | |||||||
\(522\) | 4.37780e7 | − | 1.63382e8i | 0.307783 | − | 1.14866i | ||||
\(523\) | 9.18849e6 | + | 1.59149e7i | 0.0642302 | + | 0.111250i | 0.896352 | − | 0.443343i | \(-0.146207\pi\) |
−0.832122 | + | 0.554593i | \(0.812874\pi\) | |||||||
\(524\) | −2.00914e7 | − | 1.15998e7i | −0.139642 | − | 0.0806225i | ||||
\(525\) | 1.81526e8 | + | 1.81526e8i | 1.25448 | + | 1.25448i | ||||
\(526\) | 1.39319e8 | − | 3.73303e7i | 0.957309 | − | 0.256510i | ||||
\(527\) | −4.94722e7 | − | 1.84633e8i | −0.338010 | − | 1.26147i | ||||
\(528\) | 2.92526e8 | − | 2.92526e8i | 1.98730 | − | 1.98730i | ||||
\(529\) | −5.90984e7 | + | 1.02361e8i | −0.399217 | + | 0.691463i | ||||
\(530\) | −7.39767e7 | + | 4.27105e7i | −0.496898 | + | 0.286884i | ||||
\(531\) | −7.21568e7 | − | 1.93343e7i | −0.481941 | − | 0.129136i | ||||
\(532\) | 2.87039e7i | 0.190637i | ||||||||
\(533\) | 3.42388e7 | − | 7.09553e7i | 0.226119 | − | 0.468601i | ||||
\(534\) | −5.69989e8 | −3.74320 | ||||||||
\(535\) | −7.21718e6 | + | 2.69349e7i | −0.0471309 | + | 0.175895i | ||||
\(536\) | −1.00115e7 | − | 1.73404e7i | −0.0650137 | − | 0.112607i | ||||
\(537\) | 3.08817e8 | + | 1.78295e8i | 1.99424 | + | 1.15138i | ||||
\(538\) | 7.07896e7 | + | 7.07896e7i | 0.454593 | + | 0.454593i | ||||
\(539\) | 1.31591e8 | − | 3.52597e7i | 0.840349 | − | 0.225171i | ||||
\(540\) | 1.52190e7 | + | 5.67979e7i | 0.0966504 | + | 0.360704i | ||||
\(541\) | −9.24441e7 | + | 9.24441e7i | −0.583831 | + | 0.583831i | −0.935954 | − | 0.352123i | \(-0.885460\pi\) |
0.352123 | + | 0.935954i | \(0.385460\pi\) | |||||||
\(542\) | 2.66667e7 | − | 4.61881e7i | 0.167483 | − | 0.290089i | ||||
\(543\) | 1.49411e8 | − | 8.62627e7i | 0.933221 | − | 0.538795i | ||||
\(544\) | 1.35268e8 | + | 3.62450e7i | 0.840231 | + | 0.225139i | ||||
\(545\) | − | 5.21289e7i | − | 0.322025i | ||||||
\(546\) | −1.49522e8 | − | 4.28387e8i | −0.918604 | − | 2.63183i | ||||
\(547\) | −1.87443e8 | −1.14527 | −0.572634 | − | 0.819811i | \(-0.694078\pi\) | ||||
−0.572634 | + | 0.819811i | \(0.694078\pi\) | |||||||
\(548\) | −1.37520e7 | + | 5.13232e7i | −0.0835650 | + | 0.311869i | ||||
\(549\) | 1.25450e8 | + | 2.17285e8i | 0.758146 | + | 1.31315i | ||||
\(550\) | −2.29977e8 | − | 1.32777e8i | −1.38228 | − | 0.798061i | ||||
\(551\) | 1.20663e7 | + | 1.20663e7i | 0.0721307 | + | 0.0721307i | ||||
\(552\) | 3.93300e7 | − | 1.05384e7i | 0.233833 | − | 0.0626555i | ||||
\(553\) | 1.02500e7 | + | 3.82534e7i | 0.0606104 | + | 0.226201i | ||||
\(554\) | 4.06952e6 | − | 4.06952e6i | 0.0239339 | − | 0.0239339i | ||||
\(555\) | 4.78358e7 | − | 8.28540e7i | 0.279817 | − | 0.484657i | ||||
\(556\) | 1.45764e8 | − | 8.41566e7i | 0.848056 | − | 0.489625i | ||||
\(557\) | 2.35465e8 | + | 6.30928e7i | 1.36258 | + | 0.365102i | 0.864763 | − | 0.502181i | \(-0.167469\pi\) |
0.497816 | + | 0.867283i | \(0.334135\pi\) | |||||||
\(558\) | 7.53958e8i | 4.33955i | ||||||||
\(559\) | 1.55246e8 | + | 1.33812e8i | 0.888760 | + | 0.766053i | ||||
\(560\) | 1.04582e8 | 0.595515 | ||||||||
\(561\) | −7.57198e7 | + | 2.82590e8i | −0.428865 | + | 1.60055i | ||||
\(562\) | −4.48677e7 | − | 7.77132e7i | −0.252770 | − | 0.437810i | ||||
\(563\) | −1.62504e8 | − | 9.38219e7i | −0.910625 | − | 0.525750i | −0.0299928 | − | 0.999550i | \(-0.509548\pi\) |
−0.880632 | + | 0.473801i | \(0.842882\pi\) | |||||||
\(564\) | 6.84761e7 | + | 6.84761e7i | 0.381682 | + | 0.381682i | ||||
\(565\) | −1.22186e8 | + | 3.27396e7i | −0.677448 | + | 0.181522i | ||||
\(566\) | −1.32663e7 | − | 4.95105e7i | −0.0731645 | − | 0.273054i | ||||
\(567\) | −5.22376e7 | + | 5.22376e7i | −0.286572 | + | 0.286572i | ||||
\(568\) | −4.07354e6 | + | 7.05558e6i | −0.0222294 | + | 0.0385024i | ||||
\(569\) | −2.84383e8 | + | 1.64188e8i | −1.54371 | + | 0.891262i | −0.545112 | + | 0.838363i | \(0.683513\pi\) |
−0.998600 | + | 0.0528992i | \(0.983154\pi\) | |||||||
\(570\) | −3.10209e7 | − | 8.31203e6i | −0.167506 | − | 0.0448830i | ||||
\(571\) | − | 7.79925e7i | − | 0.418933i | −0.977816 | − | 0.209466i | \(-0.932827\pi\) | ||
0.977816 | − | 0.209466i | \(-0.0671727\pi\) | |||||||
\(572\) | 1.13583e8 | + | 1.66876e8i | 0.606910 | + | 0.891674i | ||||
\(573\) | −3.33589e8 | −1.77316 | ||||||||
\(574\) | 4.27881e7 | − | 1.59687e8i | 0.226249 | − | 0.844373i | ||||
\(575\) | −3.59779e7 | − | 6.23155e7i | −0.189248 | − | 0.327788i | ||||
\(576\) | −1.34571e8 | − | 7.76949e7i | −0.704183 | − | 0.406560i | ||||
\(577\) | −2.05841e8 | − | 2.05841e8i | −1.07153 | − | 1.07153i | −0.997236 | − | 0.0742941i | \(-0.976330\pi\) |
−0.0742941 | − | 0.997236i | \(-0.523670\pi\) | |||||||
\(578\) | 1.26440e8 | − | 3.38795e7i | 0.654789 | − | 0.175450i | ||||
\(579\) | 2.94256e7 | + | 1.09818e8i | 0.151597 | + | 0.565766i | ||||
\(580\) | −2.11261e7 | + | 2.11261e7i | −0.108277 | + | 0.108277i | ||||
\(581\) | 7.40404e7 | − | 1.28242e8i | 0.377520 | − | 0.653885i | ||||
\(582\) | 1.99797e8 | − | 1.15353e8i | 1.01349 | − | 0.585140i | ||||
\(583\) | 2.99105e8 | + | 8.01450e7i | 1.50945 | + | 0.404456i | ||||
\(584\) | 4.47089e6i | 0.0224469i | ||||||||
\(585\) | 1.38642e8 | − | 1.02805e7i | 0.692512 | − | 0.0513510i | ||||
\(586\) | −3.58540e6 | −0.0178174 | ||||||||
\(587\) | −1.33945e7 | + | 4.99891e7i | −0.0662237 | + | 0.247150i | −0.991100 | − | 0.133117i | \(-0.957501\pi\) |
0.924877 | + | 0.380267i | \(0.124168\pi\) | |||||||
\(588\) | −7.74711e7 | − | 1.34184e8i | −0.381073 | − | 0.660037i | ||||
\(589\) | −6.58732e7 | − | 3.80319e7i | −0.322376 | − | 0.186124i | ||||
\(590\) | 2.16938e7 | + | 2.16938e7i | 0.105628 | + | 0.105628i | ||||
\(591\) | −5.30637e8 | + | 1.42184e8i | −2.57061 | + | 0.688792i | ||||
\(592\) | 5.41835e7 | + | 2.02215e8i | 0.261157 | + | 0.974651i | ||||
\(593\) | 1.03640e7 | − | 1.03640e7i | 0.0497006 | − | 0.0497006i | −0.681820 | − | 0.731520i | \(-0.738811\pi\) |
0.731520 | + | 0.681820i | \(0.238811\pi\) | |||||||
\(594\) | 2.47809e8 | − | 4.29217e8i | 1.18238 | − | 2.04794i | ||||
\(595\) | −6.40502e7 | + | 3.69794e7i | −0.304067 | + | 0.175553i | ||||
\(596\) | −8.59175e6 | − | 2.30215e6i | −0.0405829 | − | 0.0108742i | ||||
\(597\) | − | 5.16968e8i | − | 2.42964i | ||||||
\(598\) | 9.40460e6 | + | 1.26829e8i | 0.0439782 | + | 0.593083i | ||||
\(599\) | 2.97465e8 | 1.38406 | 0.692030 | − | 0.721869i | \(-0.256717\pi\) | ||||
0.692030 | + | 0.721869i | \(0.256717\pi\) | |||||||
\(600\) | 2.54130e7 | − | 9.48425e7i | 0.117653 | − | 0.439086i | ||||
\(601\) | 1.20393e8 | + | 2.08527e8i | 0.554597 | + | 0.960590i | 0.997935 | + | 0.0642355i | \(0.0204609\pi\) |
−0.443338 | + | 0.896355i | \(0.646206\pi\) | |||||||
\(602\) | 3.72458e8 | + | 2.15039e8i | 1.70722 | + | 0.985661i | ||||
\(603\) | −1.08728e8 | − | 1.08728e8i | −0.495894 | − | 0.495894i | ||||
\(604\) | 3.34080e7 | − | 8.95166e6i | 0.151614 | − | 0.0406249i | ||||
\(605\) | −2.36791e7 | − | 8.83714e7i | −0.106930 | − | 0.399067i | ||||
\(606\) | −3.03773e8 | + | 3.03773e8i | −1.36500 | + | 1.36500i | ||||
\(607\) | 9.79862e7 | − | 1.69717e8i | 0.438126 | − | 0.758856i | −0.559419 | − | 0.828885i | \(-0.688976\pi\) |
0.997545 | + | 0.0700287i | \(0.0223091\pi\) | |||||||
\(608\) | 4.82609e7 | − | 2.78635e7i | 0.214726 | − | 0.123972i | ||||
\(609\) | −2.35146e8 | − | 6.30071e7i | −1.04108 | − | 0.278957i | ||||
\(610\) | − | 1.03043e8i | − | 0.453971i | ||||||
\(611\) | 8.12903e7 | − | 5.53295e7i | 0.356381 | − | 0.242568i | ||||
\(612\) | 2.11865e8 | 0.924284 | ||||||||
\(613\) | 3.45751e7 | − | 1.29036e8i | 0.150101 | − | 0.560183i | −0.849375 | − | 0.527791i | \(-0.823021\pi\) |
0.999475 | − | 0.0323928i | \(-0.0103127\pi\) | |||||||
\(614\) | −2.54730e7 | − | 4.41205e7i | −0.110046 | − | 0.190605i | ||||
\(615\) | 6.88945e7 | + | 3.97763e7i | 0.296182 | + | 0.171001i | ||||
\(616\) | −9.73747e7 | − | 9.73747e7i | −0.416585 | − | 0.416585i | ||||
\(617\) | 2.69658e8 | − | 7.22546e7i | 1.14804 | − | 0.307617i | 0.365861 | − | 0.930669i | \(-0.380774\pi\) |
0.782180 | + | 0.623053i | \(0.214108\pi\) | |||||||
\(618\) | −9.41014e7 | − | 3.51191e8i | −0.398686 | − | 1.48792i | ||||
\(619\) | 1.11666e8 | − | 1.11666e8i | 0.470812 | − | 0.470812i | −0.431365 | − | 0.902177i | \(-0.641968\pi\) |
0.902177 | + | 0.431365i | \(0.141968\pi\) | |||||||
\(620\) | 6.65876e7 | − | 1.15333e8i | 0.279395 | − | 0.483926i | ||||
\(621\) | 1.16302e8 | − | 6.71471e7i | 0.485639 | − | 0.280384i | ||||
\(622\) | −3.48158e8 | − | 9.32886e7i | −1.44679 | − | 0.387666i | ||||
\(623\) | 5.22347e8i | 2.16021i | ||||||||
\(624\) | −3.11924e8 | + | 3.61888e8i | −1.28379 | + | 1.48943i | ||||
\(625\) | −1.35200e8 | −0.553778 | ||||||||
\(626\) | −1.22956e8 | + | 4.58879e8i | −0.501219 | + | 1.87057i | ||||
\(627\) | 5.82099e7 | + | 1.00822e8i | 0.236153 | + | 0.409029i | ||||
\(628\) | −2.07550e8 | − | 1.19829e8i | −0.838000 | − | 0.483819i | ||||
\(629\) | −1.04686e8 | − | 1.04686e8i | −0.420666 | − | 0.420666i | ||||
\(630\) | 2.81784e8 | − | 7.55038e7i | 1.12692 | − | 0.301958i | ||||
\(631\) | −2.77506e7 | − | 1.03566e8i | −0.110455 | − | 0.412222i | 0.888452 | − | 0.458969i | \(-0.151781\pi\) |
−0.998907 | + | 0.0467472i | \(0.985114\pi\) | |||||||
\(632\) | 1.07106e7 | − | 1.07106e7i | 0.0424291 | − | 0.0424291i | ||||
\(633\) | −4.03604e8 | + | 6.99062e8i | −1.59127 | + | 2.75616i | ||||
\(634\) | −1.21416e8 | + | 7.00998e7i | −0.476442 | + | 0.275074i | ||||
\(635\) | −1.08902e8 | − | 2.91803e7i | −0.425320 | − | 0.113964i | ||||
\(636\) | − | 3.52183e8i | − | 1.36898i | ||||||
\(637\) | −1.48544e8 | + | 5.18471e7i | −0.574693 | + | 0.200588i | ||||
\(638\) | 2.51821e8 | 0.969685 | ||||||||
\(639\) | −1.61929e7 | + | 6.04328e7i | −0.0620616 | + | 0.231617i | ||||
\(640\) | −3.27353e7 | − | 5.66993e7i | −0.124875 | − | 0.216291i | ||||
\(641\) | −1.66234e8 | − | 9.59755e7i | −0.631171 | − | 0.364407i | 0.150035 | − | 0.988681i | \(-0.452062\pi\) |
−0.781205 | + | 0.624274i | \(0.785395\pi\) | |||||||
\(642\) | −1.89017e8 | − | 1.89017e8i | −0.714326 | − | 0.714326i | ||||
\(643\) | 2.50967e7 | − | 6.72465e6i | 0.0944027 | − | 0.0252951i | −0.211309 | − | 0.977419i | \(-0.567772\pi\) |
0.305711 | + | 0.952124i | \(0.401106\pi\) | |||||||
\(644\) | 2.97065e7 | + | 1.10866e8i | 0.111223 | + | 0.415089i | ||||
\(645\) | −1.46339e8 | + | 1.46339e8i | −0.545357 | + | 0.545357i | ||||
\(646\) | −2.48486e7 | + | 4.30390e7i | −0.0921731 | + | 0.159649i | ||||
\(647\) | −3.77670e7 | + | 2.18048e7i | −0.139444 | + | 0.0805080i | −0.568099 | − | 0.822960i | \(-0.692321\pi\) |
0.428655 | + | 0.903468i | \(0.358988\pi\) | |||||||
\(648\) | 2.72927e7 | + | 7.31306e6i | 0.100305 | + | 0.0268766i | ||||
\(649\) | − | 1.11216e8i | − | 0.406848i | ||||||
\(650\) | 2.76207e8 | + | 1.33281e8i | 1.00576 | + | 0.485320i | ||||
\(651\) | 1.08513e9 | 3.93313 | ||||||||
\(652\) | −1.54373e7 | + | 5.76128e7i | −0.0556966 | + | 0.207862i | ||||
\(653\) | −2.45478e8 | − | 4.25180e8i | −0.881602 | − | 1.52698i | −0.849560 | − | 0.527492i | \(-0.823132\pi\) |
−0.0320418 | − | 0.999487i | \(-0.510201\pi\) | |||||||
\(654\) | 4.32767e8 | + | 2.49858e8i | 1.54711 | + | 0.893224i | ||||
\(655\) | −1.68200e7 | − | 1.68200e7i | −0.0598553 | − | 0.0598553i | ||||
\(656\) | −1.68146e8 | + | 4.50545e7i | −0.595626 | + | 0.159598i | ||||
\(657\) | 8.88623e6 | + | 3.31639e7i | 0.0313344 | + | 0.116942i | ||||
\(658\) | 1.45906e8 | − | 1.45906e8i | 0.512148 | − | 0.512148i | ||||
\(659\) | 9.41451e7 | − | 1.63064e8i | 0.328959 | − | 0.569773i | −0.653347 | − | 0.757059i | \(-0.726636\pi\) |
0.982306 | + | 0.187286i | \(0.0599690\pi\) | |||||||
\(660\) | −1.76523e8 | + | 1.01916e8i | −0.614003 | + | 0.354495i | ||||
\(661\) | 4.77650e8 | + | 1.27986e8i | 1.65389 | + | 0.443157i | 0.960697 | − | 0.277599i | \(-0.0895387\pi\) |
0.693188 | + | 0.720756i | \(0.256205\pi\) | |||||||
\(662\) | 7.17944e8i | 2.47467i | ||||||||
\(663\) | 6.30738e7 | − | 3.31929e8i | 0.216425 | − | 1.13895i | ||||
\(664\) | −5.66374e7 | −0.193463 | ||||||||
\(665\) | −7.61727e6 | + | 2.84280e7i | −0.0259021 | + | 0.0966678i | ||||
\(666\) | 2.91982e8 | + | 5.05728e8i | 0.988403 | + | 1.71196i | ||||
\(667\) | 5.90928e7 | + | 3.41172e7i | 0.199139 | + | 0.114973i | ||||
\(668\) | −1.78683e8 | − | 1.78683e8i | −0.599452 | − | 0.599452i | ||||
\(669\) | 6.51075e8 | − | 1.74455e8i | 2.17447 | − | 0.582646i | ||||
\(670\) | 1.63444e7 | + | 6.09983e7i | 0.0543432 | + | 0.202812i | ||||
\(671\) | −2.64130e8 | + | 2.64130e8i | −0.874280 | + | 0.874280i | ||||
\(672\) | −3.97501e8 | + | 6.88492e8i | −1.30988 | + | 2.26877i | ||||
\(673\) | 7.91210e7 | − | 4.56806e7i | 0.259565 | − | 0.149860i | −0.364571 | − | 0.931176i | \(-0.618784\pi\) |
0.624136 | + | 0.781315i | \(0.285451\pi\) | |||||||
\(674\) | −5.81185e8 | − | 1.55728e8i | −1.89817 | − | 0.508613i | ||||
\(675\) | − | 3.23845e8i | − | 1.05299i | ||||||
\(676\) | −1.45066e8 | − | 1.82493e8i | −0.469598 | − | 0.590753i | ||||
\(677\) | 1.89023e8 | 0.609185 | 0.304592 | − | 0.952483i | \(-0.401480\pi\) | ||||
0.304592 | + | 0.952483i | \(0.401480\pi\) | |||||||
\(678\) | 3.13848e8 | − | 1.17129e9i | 1.00700 | − | 3.75818i | ||||
\(679\) | −1.05711e8 | − | 1.83097e8i | −0.337685 | − | 0.584887i | ||||
\(680\) | 2.44977e7 | + | 1.41437e7i | 0.0779109 | + | 0.0449819i | ||||
\(681\) | 5.22551e8 | + | 5.22551e8i | 1.65458 | + | 1.65458i | ||||
\(682\) | −1.08424e9 | + | 2.90521e8i | −3.41799 | + | 0.915849i | ||||
\(683\) | 1.03234e8 | + | 3.85274e8i | 0.324011 | + | 1.20923i | 0.915302 | + | 0.402767i | \(0.131952\pi\) |
−0.591291 | + | 0.806458i | \(0.701382\pi\) | |||||||
\(684\) | 5.96153e7 | − | 5.96153e7i | 0.186290 | − | 0.186290i | ||||
\(685\) | −2.72397e7 | + | 4.71805e7i | −0.0847481 | + | 0.146788i | ||||
\(686\) | 1.83803e8 | − | 1.06119e8i | 0.569352 | − | 0.328716i | ||||
\(687\) | −7.24688e8 | − | 1.94179e8i | −2.23502 | − | 0.598871i | ||||
\(688\) | − | 4.52859e8i | − | 1.39058i | ||||||
\(689\) | −3.51328e8 | − | 6.67599e7i | −1.07412 | − | 0.204107i | ||||
\(690\) | −1.28418e8 | −0.390910 | ||||||||
\(691\) | 1.53209e8 | − | 5.71784e8i | 0.464355 | − | 1.73300i | −0.194662 | − | 0.980870i | \(-0.562361\pi\) |
0.659018 | − | 0.752128i | \(-0.270972\pi\) | |||||||
\(692\) | −9.31067e7 | − | 1.61266e8i | −0.280972 | − | 0.486657i | ||||
\(693\) | −9.15839e8 | − | 5.28760e8i | −2.75182 | − | 1.58876i | ||||
\(694\) | 4.32099e8 | + | 4.32099e8i | 1.29272 | + | 1.29272i | ||||
\(695\) | 1.66696e8 | − | 4.46659e7i | 0.496557 | − | 0.133052i | ||||
\(696\) | 2.40987e7 | + | 8.99376e7i | 0.0714769 | + | 0.266756i | ||||
\(697\) | 8.70483e7 | − | 8.70483e7i | 0.257076 | − | 0.257076i | ||||
\(698\) | 1.04816e8 | − | 1.81547e8i | 0.308221 | − | 0.533854i | ||||
\(699\) | −2.88628e8 | + | 1.66639e8i | −0.845096 | + | 0.487917i | ||||
\(700\) | 2.67349e8 | + | 7.16359e7i | 0.779443 | + | 0.208851i | ||||
\(701\) | − | 2.63303e8i | − | 0.764368i | −0.924086 | − | 0.382184i | \(-0.875172\pi\) | ||
0.924086 | − | 0.382184i | \(-0.124828\pi\) | |||||||
\(702\) | −2.48748e8 | + | 5.15497e8i | −0.719033 | + | 1.49010i | ||||
\(703\) | −5.89138e7 | −0.169571 | ||||||||
\(704\) | 5.98759e7 | − | 2.23460e8i | 0.171607 | − | 0.640444i | ||||
\(705\) | 4.96462e7 | + | 8.59898e7i | 0.141683 | + | 0.245403i | ||||
\(706\) | 4.78281e8 | + | 2.76136e8i | 1.35916 | + | 0.784709i | ||||
\(707\) | 2.78383e8 | + | 2.78383e8i | 0.787742 | + | 0.787742i | ||||
\(708\) | −1.22179e8 | + | 3.27379e7i | −0.344269 | + | 0.0922466i | ||||
\(709\) | 1.15331e8 | + | 4.30422e8i | 0.323600 | + | 1.20769i | 0.915712 | + | 0.401835i | \(0.131627\pi\) |
−0.592113 | + | 0.805855i | \(0.701706\pi\) | |||||||
\(710\) | 1.81690e7 | − | 1.81690e7i | 0.0507641 | − | 0.0507641i | ||||
\(711\) | 5.81604e7 | − | 1.00737e8i | 0.161815 | − | 0.280272i | ||||
\(712\) | 1.73019e8 | − | 9.98926e7i | 0.479351 | − | 0.276754i | ||||
\(713\) | −2.93789e8 | − | 7.87205e7i | −0.810526 | − | 0.217180i | ||||
\(714\) | − | 7.08982e8i | − | 1.94778i | ||||||
\(715\) | 6.82066e7 | + | 1.95414e8i | 0.186598 | + | 0.534611i | ||||
\(716\) | 3.84459e8 | 1.04740 | ||||||||
\(717\) | −1.00469e8 | + | 3.74955e8i | −0.272568 | + | 1.01724i | ||||
\(718\) | 2.49512e8 | + | 4.32168e8i | 0.674092 | + | 1.16756i | ||||
\(719\) | −2.17714e8 | − | 1.25697e8i | −0.585733 | − | 0.338173i | 0.177676 | − | 0.984089i | \(-0.443142\pi\) |
−0.763408 | + | 0.645916i | \(0.776476\pi\) | |||||||
\(720\) | −2.17207e8 | − | 2.17207e8i | −0.581936 | − | 0.581936i | ||||
\(721\) | −3.21837e8 | + | 8.62360e7i | −0.858678 | + | 0.230082i | ||||
\(722\) | −1.23916e8 | − | 4.62459e8i | −0.329241 | − | 1.22875i | ||||
\(723\) | 2.50467e8 | − | 2.50467e8i | 0.662729 | − | 0.662729i | ||||
\(724\) | 9.30042e7 | − | 1.61088e8i | 0.245068 | − | 0.424471i | ||||
\(725\) | 1.42500e8 | − | 8.22722e7i | 0.373938 | − | 0.215893i | ||||
\(726\) | 8.47144e8 | + | 2.26991e8i | 2.21384 | + | 0.593198i | ||||
\(727\) | − | 1.12064e8i | − | 0.291651i | −0.989310 | − | 0.145826i | \(-0.953416\pi\) | ||
0.989310 | − | 0.145826i | \(-0.0465838\pi\) | |||||||
\(728\) | 1.20464e8 | + | 1.03832e8i | 0.312221 | + | 0.269114i | ||||
\(729\) | −5.85882e8 | −1.51226 | ||||||||
\(730\) | 3.64951e6 | − | 1.36202e7i | 0.00938138 | − | 0.0350118i | ||||
\(731\) | 1.60128e8 | + | 2.77349e8i | 0.409934 | + | 0.710026i | ||||
\(732\) | 3.67918e8 | + | 2.12418e8i | 0.938033 | + | 0.541574i | ||||
\(733\) | 2.55879e8 | + | 2.55879e8i | 0.649715 | + | 0.649715i | 0.952924 | − | 0.303209i | \(-0.0980581\pi\) |
−0.303209 | + | 0.952924i | \(0.598058\pi\) | |||||||
\(734\) | 1.56523e8 | − | 4.19403e7i | 0.395814 | − | 0.106058i | ||||
\(735\) | −4.11176e7 | − | 1.53453e8i | −0.103554 | − | 0.386468i | ||||
\(736\) | 1.57566e8 | − | 1.57566e8i | 0.395212 | − | 0.395212i | ||||
\(737\) | 1.14462e8 | − | 1.98253e8i | 0.285928 | − | 0.495242i | ||||
\(738\) | −4.20522e8 | + | 2.42788e8i | −1.04621 | + | 0.604030i | ||||
\(739\) | 5.22885e8 | + | 1.40107e8i | 1.29561 | + | 0.347157i | 0.839787 | − | 0.542916i | \(-0.182680\pi\) |
0.455819 | + | 0.890072i | \(0.349346\pi\) | |||||||
\(740\) | − | 1.03148e8i | − | 0.254547i | ||||||
\(741\) | −7.56514e7 | − | 1.11147e8i | −0.185935 | − | 0.273177i | ||||
\(742\) | −7.50416e8 | −1.83692 | ||||||||
\(743\) | 9.53453e7 | − | 3.55833e8i | 0.232452 | − | 0.867521i | −0.746829 | − | 0.665016i | \(-0.768425\pi\) |
0.979281 | − | 0.202506i | \(-0.0649085\pi\) | |||||||
\(744\) | −2.07518e8 | − | 3.59431e8i | −0.503891 | − | 0.872765i | ||||
\(745\) | −7.89824e6 | − | 4.56005e6i | −0.0191012 | − | 0.0110281i | ||||
\(746\) | −3.57599e8 | − | 3.57599e8i | −0.861350 | − | 0.861350i | ||||
\(747\) | −4.20121e8 | + | 1.12571e8i | −1.00789 | + | 0.270063i | ||||
\(748\) | 8.16374e7 | + | 3.04675e8i | 0.195067 | + | 0.728001i | ||||
\(749\) | −1.73218e8 | + | 1.73218e8i | −0.412238 | + | 0.412238i | ||||
\(750\) | −3.38500e8 | + | 5.86299e8i | −0.802369 | + | 1.38974i | ||||
\(751\) | −3.28271e8 | + | 1.89527e8i | −0.775019 | + | 0.447458i | −0.834662 | − | 0.550762i | \(-0.814337\pi\) |
0.0596430 | + | 0.998220i | \(0.481004\pi\) | |||||||
\(752\) | −2.09869e8 | − | 5.62341e7i | −0.493508 | − | 0.132235i | ||||
\(753\) | 1.32519e9i | 3.10379i | ||||||||
\(754\) | −2.90026e8 | + | 2.15059e7i | −0.676585 | + | 0.0501700i | ||||
\(755\) | 3.54625e7 | 0.0824002 | ||||||||
\(756\) | −1.33697e8 | + | 4.98965e8i | −0.309426 | + | 1.15479i | ||||
\(757\) | 2.80059e8 | + | 4.85076e8i | 0.645597 | + | 1.11821i | 0.984163 | + | 0.177264i | \(0.0567248\pi\) |
−0.338566 | + | 0.940943i | \(0.609942\pi\) | |||||||
\(758\) | −5.80652e7 | − | 3.35239e7i | −0.133324 | − | 0.0769746i | ||||
\(759\) | 3.29174e8 | + | 3.29174e8i | 0.752836 | + | 0.752836i | ||||
\(760\) | 1.08730e7 | − | 2.91342e6i | 0.0247691 | − | 0.00663686i | ||||
\(761\) | −1.22377e8 | − | 4.56717e8i | −0.277680 | − | 1.03632i | −0.954024 | − | 0.299731i | \(-0.903103\pi\) |
0.676343 | − | 0.736586i | \(-0.263564\pi\) | |||||||
\(762\) | 7.64229e8 | − | 7.64229e8i | 1.72726 | − | 1.72726i | ||||
\(763\) | 2.28974e8 | − | 3.96594e8i | 0.515481 | − | 0.892839i | ||||
\(764\) | −3.11474e8 | + | 1.79830e8i | −0.698461 | + | 0.403257i | ||||
\(765\) | 2.09829e8 | + | 5.62235e7i | 0.468685 | + | 0.125584i | ||||
\(766\) | − | 2.35346e8i | − | 0.523626i | ||||||
\(767\) | 9.49800e6 | + | 1.28089e8i | 0.0210497 | + | 0.283873i | ||||
\(768\) | 9.76265e8 | 2.15518 | ||||||||
\(769\) | −2.86392e7 | + | 1.06883e8i | −0.0629770 | + | 0.235033i | −0.990239 | − | 0.139380i | \(-0.955489\pi\) |
0.927262 | + | 0.374413i | \(0.122156\pi\) | |||||||
\(770\) | 2.17158e8 | + | 3.76129e8i | 0.475668 | + | 0.823881i | ||||
\(771\) | −4.18237e8 | − | 2.41469e8i | −0.912555 | − | 0.526864i | ||||
\(772\) | 8.66749e7 | + | 8.66749e7i | 0.188383 | + | 0.188383i | ||||
\(773\) | −1.15491e8 | + | 3.09458e7i | −0.250041 | + | 0.0669982i | −0.381662 | − | 0.924302i | \(-0.624648\pi\) |
0.131622 | + | 0.991300i | \(0.457982\pi\) | |||||||
\(774\) | −3.26945e8 | − | 1.22018e9i | −0.705102 | − | 2.63148i | ||||
\(775\) | −5.18628e8 | + | 5.18628e8i | −1.11417 | + | 1.11417i | ||||
\(776\) | −4.04320e7 | + | 7.00303e7i | −0.0865247 | + | 0.149865i | ||||
\(777\) | 7.27866e8 | − | 4.20233e8i | 1.55163 | − | 0.895834i | ||||
\(778\) | −1.26563e8 | − | 3.39124e7i | −0.268762 | − | 0.0720145i | ||||
\(779\) | − | 4.89878e7i | − | 0.103628i | ||||||
\(780\) | 1.94600e8 | − | 1.32453e8i | 0.410072 | − | 0.279112i | ||||
\(781\) | −9.31457e7 | −0.195528 | ||||||||
\(782\) | −5.14330e7 | + | 1.91951e8i | −0.107553 | + | 0.401392i | ||||
\(783\) | 1.53548e8 | + | 2.65953e8i | 0.319860 | + | 0.554013i | ||||
\(784\) | 3.01058e8 | + | 1.73816e8i | 0.624744 | + | 0.360696i | ||||
\(785\) | −1.73756e8 | − | 1.73756e8i | −0.359195 | − | 0.359195i | ||||
\(786\) | 2.20257e8 | − | 5.90178e7i | 0.453590 | − | 0.121539i | ||||
\(787\) | −4.40228e7 | − | 1.64295e8i | −0.0903137 | − | 0.337055i | 0.905954 | − | 0.423377i | \(-0.139155\pi\) |
−0.996267 | + | 0.0863217i | \(0.972489\pi\) | |||||||
\(788\) | −4.18811e8 | + | 4.18811e8i | −0.855933 | + | 0.855933i | ||||
\(789\) | −3.04860e8 | + | 5.28034e8i | −0.620683 | + | 1.07506i | ||||
\(790\) | −4.13719e7 | + | 2.38861e7i | −0.0839121 | + | 0.0484466i | ||||
\(791\) | −1.07339e9 | − | 2.87615e8i | −2.16885 | − | 0.581141i | ||||
\(792\) | 4.04476e8i | 0.814174i | ||||||||
\(793\) | 2.81645e8 | − | 3.26759e8i | 0.564784 | − | 0.655252i | ||||
\(794\) | −1.70192e8 | −0.339999 | ||||||||
\(795\) | 9.34600e7 | − | 3.48798e8i | 0.186005 | − | 0.694180i | ||||
\(796\) | −2.78685e8 | − | 4.82696e8i | −0.552553 | − | 0.957051i | ||||
\(797\) | 2.89682e8 | + | 1.67248e8i | 0.572199 | + | 0.330359i | 0.758027 | − | 0.652223i | \(-0.226163\pi\) |
−0.185828 | + | 0.982582i | \(0.559497\pi\) | |||||||
\(798\) | −1.99496e8 | − | 1.99496e8i | −0.392577 | − | 0.392577i | ||||
\(799\) | 1.48416e8 | − | 3.97680e7i | 0.290965 | − | 0.0779638i | ||||
\(800\) | −1.39077e8 | − | 5.19041e8i | −0.271634 | − | 1.01375i | ||||
\(801\) | 1.08486e9 | − | 1.08486e9i | 2.11095 | − | 2.11095i | ||||
\(802\) | 4.37152e8 | − | 7.57170e8i | 0.847441 | − | 1.46781i | ||||
\(803\) | −4.42675e7 | + | 2.55579e7i | −0.0854946 | + | 0.0493603i | ||||
\(804\) | −2.51490e8 | − | 6.73866e7i | −0.483897 | − | 0.129660i | ||||
\(805\) | 1.17684e8i | 0.225595i | ||||||||
\(806\) | 1.22392e9 | − | 4.27191e8i | 2.33748 | − | 0.815863i | ||||
\(807\) | −4.23204e8 | −0.805248 | ||||||||
\(808\) | 3.89724e7 | − | 1.45447e8i | 0.0738794 | − | 0.275722i | ||||
\(809\) | −4.23057e8 | − | 7.32756e8i | −0.799012 | − | 1.38393i | −0.920260 | − | 0.391308i | \(-0.872023\pi\) |
0.121248 | − | 0.992622i | \(-0.461310\pi\) | |||||||
\(810\) | −7.71752e7 | − | 4.45571e7i | −0.145219 | − | 0.0838421i | ||||
\(811\) | −2.12694e7 | − | 2.12694e7i | −0.0398743 | − | 0.0398743i | 0.686889 | − | 0.726763i | \(-0.258976\pi\) |
−0.726763 | + | 0.686889i | \(0.758976\pi\) | |||||||
\(812\) | −2.53522e8 | + | 6.79311e7i | −0.473531 | + | 0.126882i | ||||
\(813\) | 5.83527e7 | + | 2.17775e8i | 0.108590 | + | 0.405263i | ||||
\(814\) | −6.14759e8 | + | 6.14759e8i | −1.13981 | + | 1.13981i | ||||
\(815\) | −3.05778e7 | + | 5.29624e7i | −0.0564851 | + | 0.0978351i | ||||
\(816\) | −6.46519e8 | + | 3.73268e8i | −1.18990 | + | 0.686989i | ||||
\(817\) | 1.23099e8 | + | 3.29842e7i | 0.225729 | + | 0.0604838i | ||||
\(818\) | 7.02358e8i | 1.28321i | ||||||||
\(819\) | 1.09994e9 | + | 5.30765e8i | 2.00224 | + | 0.966163i | ||||
\(820\) | 8.57696e7 | 0.155558 | ||||||||
\(821\) | −1.70154e8 | + | 6.35024e8i | −0.307477 | + | 1.14752i | 0.623314 | + | 0.781971i | \(0.285786\pi\) |
−0.930792 | + | 0.365550i | \(0.880881\pi\) | |||||||
\(822\) | −2.61124e8 | − | 4.52280e8i | −0.470145 | − | 0.814315i | ||||
\(823\) | −1.32386e8 | − | 7.64333e7i | −0.237489 | − | 0.137114i | 0.376533 | − | 0.926403i | \(-0.377116\pi\) |
−0.614022 | + | 0.789289i | \(0.710449\pi\) | |||||||
\(824\) | 9.01118e7 | + | 9.01118e7i | 0.161065 | + | 0.161065i | ||||
\(825\) | 1.08434e9 | − | 2.90547e8i | 1.93109 | − | 0.517433i | ||||
\(826\) | 6.97565e7 | + | 2.60335e8i | 0.123778 | + | 0.461947i | ||||
\(827\) | −4.36719e8 | + | 4.36719e8i | −0.772122 | + | 0.772122i | −0.978477 | − | 0.206355i | \(-0.933840\pi\) |
0.206355 | + | 0.978477i | \(0.433840\pi\) | |||||||
\(828\) | 1.68561e8 | − | 2.91956e8i | 0.296938 | − | 0.514311i | ||||
\(829\) | 4.21385e6 | − | 2.43287e6i | 0.00739632 | − | 0.00427027i | −0.496297 | − | 0.868153i | \(-0.665307\pi\) |
0.503694 | + | 0.863882i | \(0.331974\pi\) | |||||||
\(830\) | 1.72541e8 | + | 4.62321e7i | 0.301757 | + | 0.0808555i | ||||
\(831\) | 2.43290e7i | 0.0423956i | ||||||||
\(832\) | −4.98759e7 | + | 2.62475e8i | −0.0866007 | + | 0.455740i | ||||
\(833\) | −2.45840e8 | −0.425322 | ||||||||
\(834\) | −4.28175e8 | + | 1.59797e9i | −0.738114 | + | 2.75468i | ||||
\(835\) | −1.29548e8 | − | 2.24384e8i | −0.222521 | − | 0.385418i | ||||
\(836\) | 1.08702e8 | + | 6.27590e7i | 0.186045 | + | 0.107413i | ||||
\(837\) | −9.67939e8 | − | 9.67939e8i | −1.65071 | − | 1.65071i | ||||
\(838\) | −1.19051e8 | + | 3.18997e7i | −0.202303 | + | 0.0542068i | ||||
\(839\) | 1.59520e8 | + | 5.95338e8i | 0.270104 | + | 1.00804i | 0.959052 | + | 0.283230i | \(0.0914060\pi\) |
−0.688948 | + | 0.724810i | \(0.741927\pi\) | |||||||
\(840\) | −1.13552e8 | + | 1.13552e8i | −0.191583 | + | 0.191583i | ||||
\(841\) | 2.19394e8 | − | 3.80002e8i | 0.368839 | − | 0.638849i | ||||
\(842\) | 2.87273e8 | − | 1.65857e8i | 0.481237 | − | 0.277842i | ||||
\(843\) | 3.66415e8 | + | 9.81806e7i | 0.611632 | + | 0.163886i | ||||
\(844\) | 8.70291e8i | 1.44756i | ||||||||
\(845\) | −9.52430e7 | − | 2.19236e8i | −0.157857 | − | 0.363364i | ||||
\(846\) | −6.06066e8 | −1.00094 | ||||||||
\(847\) | 2.08018e8 | − | 7.76336e8i | 0.342335 | − | 1.27761i | ||||
\(848\) | 3.95082e8 | + | 6.84302e8i | 0.647888 | + | 1.12217i | ||||
\(849\) | 1.87650e8 | + | 1.08340e8i | 0.306638 | + | 0.177038i | ||||
\(850\) | 3.38852e8 | + | 3.38852e8i | 0.551764 | + | 0.551764i | ||||
\(851\) | −2.27549e8 | + | 6.09716e7i | −0.369221 | + | 0.0989324i | ||||
\(852\) | 2.74187e7 | + | 1.02328e8i | 0.0443331 | + | 0.165453i | ||||
\(853\) | −2.10676e8 | + | 2.10676e8i | −0.339443 | + | 0.339443i | −0.856158 | − | 0.516715i | \(-0.827155\pi\) |
0.516715 | + | 0.856158i | \(0.327155\pi\) | |||||||
\(854\) | 4.52611e8 | − | 7.83945e8i | 0.726694 | − | 1.25867i | ||||
\(855\) | 7.48627e7 | − | 4.32220e7i | 0.119775 | − | 0.0691522i | ||||
\(856\) | 9.05017e7 | + | 2.42499e7i | 0.144290 | + | 0.0386623i | ||||
\(857\) | − | 2.80438e8i | − | 0.445547i | −0.974870 | − | 0.222774i | \(-0.928489\pi\) | ||
0.974870 | − | 0.222774i | \(-0.0715111\pi\) | |||||||
\(858\) | −1.94922e9 | − | 3.70395e8i | −3.08602 | − | 0.586412i | ||||
\(859\) | −4.48549e8 | −0.707669 | −0.353835 | − | 0.935308i | \(-0.615122\pi\) | ||||
−0.353835 | + | 0.935308i | \(0.615122\pi\) | |||||||
\(860\) | −5.77498e7 | + | 2.15525e8i | −0.0907936 | + | 0.338846i | ||||
\(861\) | 3.49431e8 | + | 6.05233e8i | 0.547460 | + | 0.948228i | ||||
\(862\) | −9.98081e8 | − | 5.76243e8i | −1.55828 | − | 0.899671i | ||||
\(863\) | 1.68524e8 | + | 1.68524e8i | 0.262198 | + | 0.262198i | 0.825947 | − | 0.563748i | \(-0.190641\pi\) |
−0.563748 | + | 0.825947i | \(0.690641\pi\) | |||||||
\(864\) | 9.68710e8 | − | 2.59565e8i | 1.50194 | − | 0.402443i | ||||
\(865\) | −4.94162e7 | − | 1.84424e8i | −0.0763521 | − | 0.284950i | ||||
\(866\) | 9.31205e7 | − | 9.31205e7i | 0.143381 | − | 0.143381i | ||||
\(867\) | −2.76679e8 | + | 4.79223e8i | −0.424541 | + | 0.735326i | ||||
\(868\) | 1.01319e9 | − | 5.84966e8i | 1.54929 | − | 0.894482i | ||||
\(869\) | 1.67276e8 | + | 4.48216e7i | 0.254903 | + | 0.0683011i | ||||
\(870\) | − | 2.93658e8i | − | 0.445948i | ||||||
\(871\) | −1.14896e8 | + | 2.38106e8i | −0.173880 | + | 0.360342i | ||||
\(872\) | −1.75154e8 | −0.264162 | ||||||||
\(873\) | −1.60723e8 | + | 5.99827e8i | −0.241566 | + | 0.901537i | ||||
\(874\) | 3.95393e7 | + | 6.84840e7i | 0.0592236 | + | 0.102578i | ||||
\(875\) | 5.37293e8 | + | 3.10206e8i | 0.802024 | + | 0.463049i | ||||
\(876\) | 4.11081e7 | + | 4.11081e7i | 0.0611526 | + | 0.0611526i | ||||
\(877\) | 9.10838e8 | − | 2.44058e8i | 1.35034 | − | 0.361822i | 0.490078 | − | 0.871679i | \(-0.336968\pi\) |
0.860259 | + | 0.509857i | \(0.170302\pi\) | |||||||
\(878\) | 3.84007e8 | + | 1.43313e9i | 0.567355 | + | 2.11740i | ||||
\(879\) | 1.07174e7 | − | 1.07174e7i | 0.0157805 | − | 0.0157805i | ||||
\(880\) | 2.28661e8 | − | 3.96052e8i | 0.335539 | − | 0.581171i | ||||
\(881\) | 2.10209e8 | − | 1.21364e8i | 0.307414 | − | 0.177486i | −0.338355 | − | 0.941019i | \(-0.609870\pi\) |
0.645769 | + | 0.763533i | \(0.276537\pi\) | |||||||
\(882\) | 9.36654e8 | + | 2.50976e8i | 1.36513 | + | 0.365785i | ||||
\(883\) | − | 6.35704e8i | − | 0.923363i | −0.887046 | − | 0.461682i | \(-0.847246\pi\) | ||
0.887046 | − | 0.461682i | \(-0.152754\pi\) | |||||||
\(884\) | −1.20042e8 | − | 3.43926e8i | −0.173771 | − | 0.497861i | ||||
\(885\) | −1.29693e8 | −0.187105 | ||||||||
\(886\) | 1.52989e7 | − | 5.70963e7i | 0.0219968 | − | 0.0820931i | ||||
\(887\) | 5.22716e7 | + | 9.05370e7i | 0.0749022 | + | 0.129734i | 0.901044 | − | 0.433728i | \(-0.142802\pi\) |
−0.826142 | + | 0.563463i | \(0.809469\pi\) | |||||||
\(888\) | −2.78391e8 | − | 1.60729e8i | −0.397573 | − | 0.229539i | ||||
\(889\) | −7.00351e8 | − | 7.00351e8i | −0.996806 | − | 0.996806i | ||||
\(890\) | −6.08628e8 | + | 1.63081e8i | −0.863340 | + | 0.231331i | ||||
\(891\) | 8.36102e7 | + | 3.12038e8i | 0.118202 | + | 0.441137i | ||||
\(892\) | 5.13868e8 | − | 5.13868e8i | 0.724031 | − | 0.724031i | ||||
\(893\) | 3.05718e7 | − | 5.29518e7i | 0.0429305 | − | 0.0743578i | ||||
\(894\) | 7.57139e7 | − | 4.37134e7i | 0.105965 | − | 0.0611790i | ||||
\(895\) | 3.80764e8 | + | 1.02025e8i | 0.531112 | + | 0.142311i | ||||
\(896\) | − | 5.75154e8i | − | 0.799577i | ||||||
\(897\) | −4.07225e8 | − | 3.51002e8i | −0.564232 | − | 0.486331i | ||||
\(898\) | 1.13509e9 | 1.56747 | ||||||||
\(899\) | 1.80014e8 | − | 6.71820e8i | 0.247757 | − | 0.924643i | ||||
\(900\) | −4.06477e8 | − | 7.04039e8i | −0.557581 | − | 0.965759i | ||||
\(901\) | −4.83929e8 | − | 2.79396e8i | −0.661618 | − | 0.381985i | ||||
\(902\) | −5.11183e8 | − | 5.11183e8i | −0.696557 | − | 0.696557i | ||||
\(903\) | −1.75613e9 | + | 4.70553e8i | −2.38503 | + | 0.639066i | ||||
\(904\) | 1.10006e8 | + | 4.10547e8i | 0.148905 | + | 0.555722i | ||||
\(905\) | 1.34859e8 | − | 1.34859e8i | 0.181942 | − | 0.181942i | ||||
\(906\) | −1.69975e8 | + | 2.94405e8i | −0.228560 | + | 0.395877i | ||||
\(907\) | −1.15322e9 | + | 6.65812e8i | −1.54558 | + | 0.892339i | −0.547105 | + | 0.837064i | \(0.684270\pi\) |
−0.998471 | + | 0.0552746i | \(0.982397\pi\) | |||||||
\(908\) | 7.69603e8 | + | 2.06214e8i | 1.02804 | + | 0.275462i | ||||
\(909\) | − | 1.15635e9i | − | 1.53956i | ||||||
\(910\) | −2.82225e8 | − | 4.14646e8i | −0.374517 | − | 0.550242i | ||||
\(911\) | 4.98334e8 | 0.659122 | 0.329561 | − | 0.944134i | \(-0.393099\pi\) | ||||
0.329561 | + | 0.944134i | \(0.393099\pi\) | |||||||
\(912\) | −7.68882e7 | + | 2.86951e8i | −0.101362 | + | 0.378288i | ||||
\(913\) | −3.23768e8 | − | 5.60782e8i | −0.425423 | − | 0.736855i | ||||
\(914\) | 8.30104e8 | + | 4.79261e8i | 1.08716 | + | 0.627673i | ||||
\(915\) | 3.08012e8 | + | 3.08012e8i | 0.402073 | + | 0.402073i | ||||
\(916\) | −7.81323e8 | + | 2.09355e8i | −1.01659 | + | 0.272393i | ||||
\(917\) | −5.40848e7 | − | 2.01847e8i | −0.0701403 | − | 0.261767i | ||||
\(918\) | −6.32414e8 | + | 6.32414e8i | −0.817474 | + | 0.817474i | ||||
\(919\) | −5.97405e8 | + | 1.03474e9i | −0.769702 | + | 1.33316i | 0.168023 | + | 0.985783i | \(0.446262\pi\) |
−0.937725 | + | 0.347379i | \(0.887072\pi\) | |||||||
\(920\) | 3.89809e7 | − | 2.25056e7i | 0.0500597 | − | 0.0289020i | ||||
\(921\) | 2.08026e8 | + | 5.57405e7i | 0.266281 | + | 0.0713497i | ||||
\(922\) | − | 5.20938e8i | − | 0.664650i | ||||||
\(923\) | 1.07277e8 | − | 7.95478e6i | 0.136427 | − | 0.0101163i | ||||
\(924\) | −1.79064e9 | −2.26983 | ||||||||
\(925\) | −1.47030e8 | + | 5.48724e8i | −0.185773 | + | 0.693312i | ||||
\(926\) | −2.79300e8 | − | 4.83762e8i | −0.351754 | − | 0.609255i | ||||
\(927\) | 8.47529e8 | + | 4.89321e8i | 1.06394 | + | 0.614263i | ||||
\(928\) | 3.60314e8 | + | 3.60314e8i | 0.450856 | + | 0.450856i | ||||
\(929\) | 1.34135e9 | − | 3.59415e8i | 1.67300 | − | 0.448280i | 0.707084 | − | 0.707129i | \(-0.250010\pi\) |
0.965918 | + | 0.258850i | \(0.0833434\pi\) | |||||||
\(930\) | 3.38787e8 | + | 1.26437e9i | 0.421189 | + | 1.57190i | ||||
\(931\) | −6.91753e7 | + | 6.91753e7i | −0.0857239 | + | 0.0857239i | ||||
\(932\) | −1.79662e8 | + | 3.11184e8i | −0.221926 | + | 0.384388i | ||||
\(933\) | 1.31956e9 | − | 7.61847e8i | 1.62474 | − | 0.938043i | ||||
\(934\) | −1.93393e9 | − | 5.18196e8i | −2.37356 | − | 0.635994i | ||||
\(935\) | 3.23411e8i | 0.395658i | ||||||||
\(936\) | −3.45428e7 | − | 4.65840e8i | −0.0421241 | − | 0.568079i | ||||
\(937\) | −2.09237e8 | −0.254343 | −0.127172 | − | 0.991881i | \(-0.540590\pi\) | ||||
−0.127172 | + | 0.991881i | \(0.540590\pi\) | |||||||
\(938\) | −1.43584e8 | + | 5.35865e8i | −0.173980 | + | 0.649302i | ||||
\(939\) | −1.00413e9 | − | 1.73920e9i | −1.21281 | − | 2.10065i | ||||
\(940\) | 9.27099e7 | + | 5.35261e7i | 0.111620 | + | 0.0644439i | ||||
\(941\) | −2.91727e8 | − | 2.91727e8i | −0.350113 | − | 0.350113i | 0.510038 | − | 0.860152i | \(-0.329631\pi\) |
−0.860152 | + | 0.510038i | \(0.829631\pi\) | |||||||
\(942\) | 2.27532e9 | − | 6.09671e8i | 2.72201 | − | 0.729361i | ||||
\(943\) | −5.06989e7 | − | 1.89211e8i | −0.0604593 | − | 0.225637i | ||||
\(944\) | 2.00673e8 | − | 2.00673e8i | 0.238546 | − | 0.238546i | ||||
\(945\) | −2.64825e8 | + | 4.58690e8i | −0.313807 | + | 0.543530i | ||||
\(946\) | 1.62871e9 | − | 9.40333e8i | 1.92384 | − | 1.11073i | ||||
\(947\) | 2.74320e8 | + | 7.35038e7i | 0.323004 | + | 0.0865486i | 0.416678 | − | 0.909054i | \(-0.363194\pi\) |
−0.0936739 | + | 0.995603i | \(0.529861\pi\) | |||||||
\(948\) | − | 1.96960e8i | − | 0.231182i | ||||||
\(949\) | 4.88008e7 | − | 3.32158e7i | 0.0570989 | − | 0.0388639i | ||||
\(950\) | 1.90694e8 | 0.222417 | ||||||||
\(951\) | 1.53394e8 | − | 5.72474e8i | 0.178347 | − | 0.665602i | ||||
\(952\) | 1.24252e8 | + | 2.15210e8i | 0.144009 | + | 0.249432i | ||||
\(953\) | 9.59505e8 | + | 5.53971e8i | 1.10858 | + | 0.640041i | 0.938462 | − | 0.345382i | \(-0.112250\pi\) |
0.170122 | + | 0.985423i | \(0.445584\pi\) | |||||||
\(954\) | 1.55854e9 | + | 1.55854e9i | 1.79504 | + | 1.79504i | ||||
\(955\) | −3.56203e8 | + | 9.54442e7i | −0.408966 | + | 0.109582i | ||||
\(956\) | 1.08321e8 | + | 4.04258e8i | 0.123976 | + | 0.462685i | ||||
\(957\) | −7.52737e8 | + | 7.52737e8i | −0.858830 | + | 0.858830i | ||||
\(958\) | −8.87377e8 | + | 1.53698e9i | −1.00928 | + | 1.74812i | ||||
\(959\) | −4.14477e8 | + | 2.39298e8i | −0.469942 | + | 0.271321i | ||||
\(960\) | −2.60585e8 | − | 6.98235e7i | −0.294534 | − | 0.0789201i | ||||
\(961\) | 2.21275e9i | 2.49323i | ||||||||
\(962\) | 6.55524e8 | − | 7.60527e8i | 0.736315 | − | 0.854258i | ||||
\(963\) | 7.19516e8 | 0.805678 | ||||||||
\(964\) | 9.88420e7 | − | 3.68883e8i | 0.110334 | − | 0.411773i | ||||
\(965\) | 6.28406e7 | + | 1.08843e8i | 0.0699291 | + | 0.121121i | ||||
\(966\) | −9.76996e8 | − | 5.64069e8i | −1.08383 | − | 0.625750i | ||||
\(967\) | 5.19491e8 | + | 5.19491e8i | 0.574511 | + | 0.574511i | 0.933386 | − | 0.358875i | \(-0.116839\pi\) |
−0.358875 | + | 0.933386i | \(0.616839\pi\) | |||||||
\(968\) | −2.96930e8 | + | 7.95621e7i | −0.327362 | + | 0.0877163i | ||||
\(969\) | −5.43743e7 | − | 2.02927e8i | −0.0597616 | − | 0.223033i | ||||
\(970\) | 1.80337e8 | − | 1.80337e8i | 0.197592 | − | 0.197592i | ||||
\(971\) | −2.32819e8 | + | 4.03255e8i | −0.254309 | + | 0.440476i | −0.964708 | − | 0.263324i | \(-0.915181\pi\) |
0.710399 | + | 0.703799i | \(0.248515\pi\) | |||||||
\(972\) | −4.31455e8 | + | 2.49101e8i | −0.469826 | + | 0.271254i | ||||
\(973\) | 1.46441e9 | + | 3.92386e8i | 1.58973 | + | 0.425966i | ||||
\(974\) | − | 1.46512e9i | − | 1.58561i | ||||||
\(975\) | −1.22403e9 | + | 4.27230e8i | −1.32062 | + | 0.460944i | ||||
\(976\) | −9.53170e8 | −1.02523 | ||||||||
\(977\) | 1.12974e8 | − | 4.21624e8i | 0.121142 | − | 0.452108i | −0.878531 | − | 0.477686i | \(-0.841476\pi\) |
0.999673 | + | 0.0255776i | \(0.00814249\pi\) | |||||||
\(978\) | −2.93124e8 | − | 5.07706e8i | −0.313354 | − | 0.542745i | ||||
\(979\) | 1.97813e9 | + | 1.14207e9i | 2.10817 | + | 1.21715i | ||||
\(980\) | −1.21115e8 | − | 1.21115e8i | −0.128682 | − | 0.128682i | ||||
\(981\) | −1.29925e9 | + | 3.48132e8i | −1.37621 | + | 0.368754i | ||||
\(982\) | 1.12231e8 | + | 4.18851e8i | 0.118516 | + | 0.442308i | ||||
\(983\) | 6.86803e8 | − | 6.86803e8i | 0.723056 | − | 0.723056i | −0.246171 | − | 0.969227i | \(-0.579172\pi\) |
0.969227 | + | 0.246171i | \(0.0791724\pi\) | |||||||
\(984\) | 1.33649e8 | − | 2.31487e8i | 0.140275 | − | 0.242964i | ||||
\(985\) | −5.25928e8 | + | 3.03644e8i | −0.550323 | + | 0.317729i | ||||
\(986\) | −4.38942e8 | − | 1.17614e8i | −0.457906 | − | 0.122696i | ||||
\(987\) | 8.72276e8i | 0.907198i | ||||||||
\(988\) | −1.30553e8 | − | 6.29970e7i | −0.135368 | − | 0.0653204i | ||||
\(989\) | 5.09592e8 | 0.526786 | ||||||||
\(990\) | 3.30167e8 | − | 1.23220e9i | 0.340273 | − | 1.26992i | ||||
\(991\) | −5.04590e8 | − | 8.73975e8i | −0.518462 | − | 0.898003i | −0.999770 | − | 0.0214514i | \(-0.993171\pi\) |
0.481307 | − | 0.876552i | \(-0.340162\pi\) | |||||||
\(992\) | −1.96705e9 | − | 1.13568e9i | −2.01502 | − | 1.16337i | ||||
\(993\) | −2.14606e9 | − | 2.14606e9i | −2.19176 | − | 2.19176i | ||||
\(994\) | 2.18036e8 | − | 5.84226e7i | 0.222008 | − | 0.0594869i | ||||
\(995\) | −1.47911e8 | − | 5.52013e8i | −0.150152 | − | 0.560377i | ||||
\(996\) | −5.20758e8 | + | 5.20758e8i | −0.527058 | + | 0.527058i | ||||
\(997\) | −4.82220e8 | + | 8.35229e8i | −0.486586 | + | 0.842791i | −0.999881 | − | 0.0154209i | \(-0.995091\pi\) |
0.513295 | + | 0.858212i | \(0.328425\pi\) | |||||||
\(998\) | −1.44093e9 | + | 8.31920e8i | −1.44961 | + | 0.836932i | ||||
\(999\) | −1.02411e9 | − | 2.74409e8i | −1.02719 | − | 0.275234i |
(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 | 13.7.f.a.11.2 | yes | 24 | |
13.6 | odd | 12 | inner | 13.7.f.a.6.2 | ✓ | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
13.7.f.a.6.2 | ✓ | 24 | 13.6 | odd | 12 | inner | |
13.7.f.a.11.2 | yes | 24 | 1.1 | even | 1 | trivial |