Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [75,6,Mod(4,75)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(75, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 1]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("75.4");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 75 = 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 75.i (of order \(10\), 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: | \(12.0287864860\) |
Analytic rank: | \(0\) |
Dimension: | \(96\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 4.5 | ||
Character | \(\chi\) | \(=\) | 75.4 |
Dual form | 75.6.i.a.19.5 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/75\mathbb{Z}\right)^\times\).
\(n\) | \(26\) | \(52\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −7.50815 | − | 2.43955i | −1.32727 | − | 0.431255i | −0.442282 | − | 0.896876i | \(-0.645831\pi\) |
−0.884984 | + | 0.465621i | \(0.845831\pi\) | |||||||
\(3\) | −5.29007 | + | 7.28115i | −0.339358 | + | 0.467086i | ||||
\(4\) | 24.5324 | + | 17.8239i | 0.766639 | + | 0.556996i | ||||
\(5\) | −44.0632 | + | 34.4011i | −0.788226 | + | 0.615385i | ||||
\(6\) | 57.4814 | − | 41.7627i | 0.651852 | − | 0.473598i | ||||
\(7\) | 98.6919i | 0.761266i | 0.924726 | + | 0.380633i | \(0.124294\pi\) | ||||
−0.924726 | + | 0.380633i | \(0.875706\pi\) | |||||||
\(8\) | 7.77820 | + | 10.7058i | 0.0429689 | + | 0.0591416i | ||||
\(9\) | −25.0304 | − | 77.0356i | −0.103006 | − | 0.317019i | ||||
\(10\) | 414.756 | − | 150.794i | 1.31157 | − | 0.476854i | ||||
\(11\) | −185.523 | + | 570.980i | −0.462291 | + | 1.42278i | 0.400068 | + | 0.916486i | \(0.368987\pi\) |
−0.862358 | + | 0.506299i | \(0.831013\pi\) | |||||||
\(12\) | −259.557 | + | 84.3350i | −0.520330 | + | 0.169065i | ||||
\(13\) | 789.702 | − | 256.590i | 1.29600 | − | 0.421096i | 0.421812 | − | 0.906684i | \(-0.361394\pi\) |
0.874188 | + | 0.485588i | \(0.161394\pi\) | |||||||
\(14\) | 240.763 | − | 740.994i | 0.328300 | − | 1.01040i | ||||
\(15\) | −17.3823 | − | 502.815i | −0.0199470 | − | 0.577006i | ||||
\(16\) | −332.141 | − | 1022.22i | −0.324356 | − | 0.998265i | ||||
\(17\) | 576.784 | + | 793.876i | 0.484051 | + | 0.666239i | 0.979277 | − | 0.202525i | \(-0.0649147\pi\) |
−0.495226 | + | 0.868764i | \(0.664915\pi\) | |||||||
\(18\) | 639.458i | 0.465190i | ||||||||
\(19\) | −1902.58 | + | 1382.30i | −1.20909 | + | 0.878454i | −0.995148 | − | 0.0983921i | \(-0.968630\pi\) |
−0.213941 | + | 0.976847i | \(0.568630\pi\) | |||||||
\(20\) | −1694.14 | + | 58.5662i | −0.947052 | + | 0.0327395i | ||||
\(21\) | −718.591 | − | 522.087i | −0.355577 | − | 0.258342i | ||||
\(22\) | 2785.86 | − | 3834.41i | 1.22717 | − | 1.68905i | ||||
\(23\) | −3969.32 | − | 1289.71i | −1.56457 | − | 0.508361i | −0.606549 | − | 0.795046i | \(-0.707447\pi\) |
−0.958025 | + | 0.286685i | \(0.907447\pi\) | |||||||
\(24\) | −119.098 | −0.0422061 | ||||||||
\(25\) | 758.131 | − | 3031.64i | 0.242602 | − | 0.970126i | ||||
\(26\) | −6555.17 | −1.90174 | ||||||||
\(27\) | 693.320 | + | 225.273i | 0.183031 | + | 0.0594703i | ||||
\(28\) | −1759.07 | + | 2421.15i | −0.424022 | + | 0.583616i | ||||
\(29\) | −4839.10 | − | 3515.81i | −1.06849 | − | 0.776302i | −0.0928484 | − | 0.995680i | \(-0.529597\pi\) |
−0.975640 | + | 0.219378i | \(0.929597\pi\) | |||||||
\(30\) | −1096.13 | + | 3817.62i | −0.222362 | + | 0.774443i | ||||
\(31\) | −866.621 | + | 629.637i | −0.161966 | + | 0.117676i | −0.665816 | − | 0.746116i | \(-0.731917\pi\) |
0.503850 | + | 0.863791i | \(0.331917\pi\) | |||||||
\(32\) | 8061.83i | 1.39174i | ||||||||
\(33\) | −3175.96 | − | 4371.34i | −0.507681 | − | 0.698763i | ||||
\(34\) | −2393.89 | − | 7367.63i | −0.355146 | − | 1.09303i | ||||
\(35\) | −3395.11 | − | 4348.68i | −0.468472 | − | 0.600050i | ||||
\(36\) | 759.015 | − | 2336.01i | 0.0976100 | − | 0.300413i | ||||
\(37\) | 6432.84 | − | 2090.16i | 0.772500 | − | 0.251000i | 0.103865 | − | 0.994591i | \(-0.466879\pi\) |
0.668635 | + | 0.743591i | \(0.266879\pi\) | |||||||
\(38\) | 17657.0 | − | 5737.12i | 1.98362 | − | 0.644518i | ||||
\(39\) | −2309.31 | + | 7107.32i | −0.243120 | + | 0.748246i | ||||
\(40\) | −711.022 | − | 204.152i | −0.0702641 | − | 0.0201746i | ||||
\(41\) | 4308.85 | + | 13261.3i | 0.400315 | + | 1.23204i | 0.924745 | + | 0.380588i | \(0.124278\pi\) |
−0.524430 | + | 0.851454i | \(0.675722\pi\) | |||||||
\(42\) | 4121.63 | + | 5672.94i | 0.360534 | + | 0.496232i | ||||
\(43\) | − | 14449.3i | − | 1.19172i | −0.803088 | − | 0.595861i | \(-0.796811\pi\) | ||
0.803088 | − | 0.595861i | \(-0.203189\pi\) | |||||||
\(44\) | −14728.4 | + | 10700.8i | −1.14689 | + | 0.833268i | ||||
\(45\) | 3753.03 | + | 2533.36i | 0.276281 | + | 0.186494i | ||||
\(46\) | 26655.9 | + | 19366.7i | 1.85737 | + | 1.34946i | ||||
\(47\) | 7078.92 | − | 9743.30i | 0.467436 | − | 0.643371i | −0.508594 | − | 0.861007i | \(-0.669835\pi\) |
0.976030 | + | 0.217636i | \(0.0698345\pi\) | |||||||
\(48\) | 9200.01 | + | 2989.27i | 0.576349 | + | 0.187267i | ||||
\(49\) | 7066.92 | 0.420475 | ||||||||
\(50\) | −13088.0 | + | 20912.6i | −0.740369 | + | 1.18299i | ||||
\(51\) | −8831.56 | −0.475458 | ||||||||
\(52\) | 23946.7 | + | 7780.77i | 1.22811 | + | 0.399038i | ||||
\(53\) | −503.508 | + | 693.020i | −0.0246216 | + | 0.0338888i | −0.821150 | − | 0.570712i | \(-0.806667\pi\) |
0.796529 | + | 0.604601i | \(0.206667\pi\) | |||||||
\(54\) | −4655.99 | − | 3382.77i | −0.217284 | − | 0.157866i | ||||
\(55\) | −11467.6 | − | 31541.4i | −0.511171 | − | 1.40596i | ||||
\(56\) | −1056.57 | + | 767.645i | −0.0450225 | + | 0.0327107i | ||||
\(57\) | − | 21165.4i | − | 0.862859i | ||||||
\(58\) | 27755.7 | + | 38202.5i | 1.08338 | + | 1.49115i | ||||
\(59\) | −11564.0 | − | 35590.2i | −0.432490 | − | 1.33107i | −0.895637 | − | 0.444786i | \(-0.853280\pi\) |
0.463147 | − | 0.886282i | \(-0.346720\pi\) | |||||||
\(60\) | 8535.68 | − | 12645.1i | 0.306098 | − | 0.453465i | ||||
\(61\) | −2135.37 | + | 6571.99i | −0.0734765 | + | 0.226137i | −0.981050 | − | 0.193757i | \(-0.937933\pi\) |
0.907573 | + | 0.419894i | \(0.137933\pi\) | |||||||
\(62\) | 8042.75 | − | 2613.25i | 0.265721 | − | 0.0863379i | ||||
\(63\) | 7602.78 | − | 2470.29i | 0.241336 | − | 0.0784147i | ||||
\(64\) | 9038.71 | − | 27818.3i | 0.275840 | − | 0.848947i | ||||
\(65\) | −25969.8 | + | 38472.8i | −0.762405 | + | 1.12946i | ||||
\(66\) | 13181.5 | + | 40568.6i | 0.372483 | + | 1.14638i | ||||
\(67\) | 35163.1 | + | 48397.8i | 0.956973 | + | 1.31716i | 0.948359 | + | 0.317198i | \(0.102742\pi\) |
0.00861357 | + | 0.999963i | \(0.497258\pi\) | |||||||
\(68\) | 29756.2i | 0.780379i | ||||||||
\(69\) | 30388.5 | − | 22078.5i | 0.768399 | − | 0.558275i | ||||
\(70\) | 14882.2 | + | 40933.1i | 0.363012 | + | 0.998457i | ||||
\(71\) | −22795.9 | − | 16562.2i | −0.536675 | − | 0.389917i | 0.286174 | − | 0.958178i | \(-0.407616\pi\) |
−0.822849 | + | 0.568261i | \(0.807616\pi\) | |||||||
\(72\) | 630.034 | − | 867.167i | 0.0143230 | − | 0.0197139i | ||||
\(73\) | −24680.5 | − | 8019.17i | −0.542058 | − | 0.176125i | 0.0251742 | − | 0.999683i | \(-0.491986\pi\) |
−0.567233 | + | 0.823558i | \(0.691986\pi\) | |||||||
\(74\) | −53397.8 | −1.13356 | ||||||||
\(75\) | 18063.3 | + | 21557.7i | 0.370804 | + | 0.442536i | ||||
\(76\) | −71312.8 | −1.41623 | ||||||||
\(77\) | −56351.1 | − | 18309.6i | −1.08312 | − | 0.351926i | ||||
\(78\) | 34677.3 | − | 47729.2i | 0.645369 | − | 0.888275i | ||||
\(79\) | −75285.8 | − | 54698.4i | −1.35721 | − | 0.986067i | −0.998617 | − | 0.0525715i | \(-0.983258\pi\) |
−0.358588 | − | 0.933496i | \(-0.616742\pi\) | |||||||
\(80\) | 49800.8 | + | 33616.4i | 0.869984 | + | 0.587255i | ||||
\(81\) | −5307.96 | + | 3856.46i | −0.0898908 | + | 0.0653095i | ||||
\(82\) | − | 110079.i | − | 1.80789i | ||||||
\(83\) | 31106.1 | + | 42813.8i | 0.495621 | + | 0.682164i | 0.981412 | − | 0.191911i | \(-0.0614685\pi\) |
−0.485791 | + | 0.874075i | \(0.661468\pi\) | |||||||
\(84\) | −8323.18 | − | 25616.1i | −0.128704 | − | 0.396109i | ||||
\(85\) | −52725.1 | − | 15138.7i | −0.791536 | − | 0.227269i | ||||
\(86\) | −35249.7 | + | 108487.i | −0.513936 | + | 1.58173i | ||||
\(87\) | 51198.4 | − | 16635.4i | 0.725200 | − | 0.235632i | ||||
\(88\) | −7555.81 | + | 2455.03i | −0.104010 | + | 0.0337948i | ||||
\(89\) | 29496.4 | − | 90780.6i | 0.394725 | − | 1.21484i | −0.534451 | − | 0.845199i | \(-0.679482\pi\) |
0.929176 | − | 0.369638i | \(-0.120518\pi\) | |||||||
\(90\) | −21998.0 | − | 28176.6i | −0.286271 | − | 0.366675i | ||||
\(91\) | 25323.3 | + | 77937.1i | 0.320566 | + | 0.986600i | ||||
\(92\) | −74389.4 | − | 102388.i | −0.916308 | − | 1.26119i | ||||
\(93\) | − | 9640.82i | − | 0.115586i | ||||||
\(94\) | −76918.9 | + | 55884.8i | −0.897869 | + | 0.652340i | ||||
\(95\) | 36280.9 | − | 126359.i | 0.412448 | − | 1.43648i | ||||
\(96\) | −58699.4 | − | 42647.6i | −0.650063 | − | 0.472299i | ||||
\(97\) | −28840.6 | + | 39695.7i | −0.311225 | + | 0.428365i | −0.935763 | − | 0.352630i | \(-0.885288\pi\) |
0.624537 | + | 0.780995i | \(0.285288\pi\) | |||||||
\(98\) | −53059.5 | − | 17240.1i | −0.558082 | − | 0.181332i | ||||
\(99\) | 48629.5 | 0.498668 | ||||||||
\(100\) | 72634.4 | − | 60860.8i | 0.726344 | − | 0.608608i | ||||
\(101\) | 20732.0 | 0.202227 | 0.101113 | − | 0.994875i | \(-0.467760\pi\) | ||||
0.101113 | + | 0.994875i | \(0.467760\pi\) | |||||||
\(102\) | 66308.7 | + | 21545.0i | 0.631059 | + | 0.205044i | ||||
\(103\) | −37632.7 | + | 51796.9i | −0.349520 | + | 0.481073i | −0.947192 | − | 0.320668i | \(-0.896093\pi\) |
0.597672 | + | 0.801741i | \(0.296093\pi\) | |||||||
\(104\) | 8889.45 | + | 6458.56i | 0.0805919 | + | 0.0585535i | ||||
\(105\) | 49623.7 | − | 1715.49i | 0.439255 | − | 0.0151850i | ||||
\(106\) | 5471.07 | − | 3974.97i | 0.0472942 | − | 0.0343613i | ||||
\(107\) | − | 30255.2i | − | 0.255470i | −0.991808 | − | 0.127735i | \(-0.959229\pi\) | ||
0.991808 | − | 0.127735i | \(-0.0407708\pi\) | |||||||
\(108\) | 12993.6 | + | 17884.2i | 0.107194 | + | 0.147540i | ||||
\(109\) | 6625.37 | + | 20390.8i | 0.0534126 | + | 0.164387i | 0.974204 | − | 0.225667i | \(-0.0724562\pi\) |
−0.920792 | + | 0.390054i | \(0.872456\pi\) | |||||||
\(110\) | 9153.87 | + | 264793.i | 0.0721312 | + | 2.08653i | ||||
\(111\) | −18811.4 | + | 57895.5i | −0.144915 | + | 0.446003i | ||||
\(112\) | 100885. | − | 32779.6i | 0.759945 | − | 0.246921i | ||||
\(113\) | 167740. | − | 54502.0i | 1.23578 | − | 0.401528i | 0.382973 | − | 0.923760i | \(-0.374900\pi\) |
0.852804 | + | 0.522231i | \(0.174900\pi\) | |||||||
\(114\) | −51634.1 | + | 158913.i | −0.372112 | + | 1.14524i | ||||
\(115\) | 219268. | − | 79720.1i | 1.54608 | − | 0.562112i | ||||
\(116\) | −56049.6 | − | 172503.i | −0.386748 | − | 1.19029i | ||||
\(117\) | −39533.1 | − | 54412.6i | −0.266991 | − | 0.367481i | ||||
\(118\) | 295427.i | 1.95320i | ||||||||
\(119\) | −78349.1 | + | 56923.9i | −0.507185 | + | 0.368491i | ||||
\(120\) | 5247.82 | − | 4097.08i | 0.0332679 | − | 0.0259730i | ||||
\(121\) | −161306. | − | 117196.i | −1.00159 | − | 0.727694i | ||||
\(122\) | 32065.3 | − | 44134.2i | 0.195046 | − | 0.268457i | ||||
\(123\) | −119351. | − | 38779.6i | −0.711320 | − | 0.231122i | ||||
\(124\) | −32482.9 | −0.189715 | ||||||||
\(125\) | 70886.1 | + | 159664.i | 0.405776 | + | 0.913973i | ||||
\(126\) | −63109.3 | −0.354133 | ||||||||
\(127\) | −199755. | − | 64904.3i | −1.09898 | − | 0.357079i | −0.297267 | − | 0.954794i | \(-0.596075\pi\) |
−0.801708 | + | 0.597715i | \(0.796075\pi\) | |||||||
\(128\) | 15907.9 | − | 21895.3i | 0.0858199 | − | 0.118121i | ||||
\(129\) | 105207. | + | 76437.6i | 0.556637 | + | 0.404420i | ||||
\(130\) | 288842. | − | 225505.i | 1.49900 | − | 1.17030i | ||||
\(131\) | −14580.0 | + | 10593.0i | −0.0742298 | + | 0.0539311i | −0.624281 | − | 0.781200i | \(-0.714608\pi\) |
0.550051 | + | 0.835131i | \(0.314608\pi\) | |||||||
\(132\) | − | 163848.i | − | 0.818475i | ||||||
\(133\) | −136422. | − | 187769.i | −0.668737 | − | 0.920438i | ||||
\(134\) | −145941. | − | 449160.i | −0.702126 | − | 2.16092i | ||||
\(135\) | −38299.6 | + | 13924.7i | −0.180867 | + | 0.0657584i | ||||
\(136\) | −4012.71 | + | 12349.8i | −0.0186033 | + | 0.0572551i | ||||
\(137\) | −209035. | + | 67919.6i | −0.951519 | + | 0.309167i | −0.743333 | − | 0.668922i | \(-0.766756\pi\) |
−0.208186 | + | 0.978089i | \(0.566756\pi\) | |||||||
\(138\) | −282023. | + | 91634.9i | −1.26063 | + | 0.409603i | ||||
\(139\) | −69312.8 | + | 213323.i | −0.304282 | + | 0.936485i | 0.675662 | + | 0.737212i | \(0.263858\pi\) |
−0.979944 | + | 0.199273i | \(0.936142\pi\) | |||||||
\(140\) | −5780.00 | − | 167198.i | −0.0249234 | − | 0.720958i | ||||
\(141\) | 33494.5 | + | 103085.i | 0.141881 | + | 0.436666i | ||||
\(142\) | 130751. | + | 179963.i | 0.544157 | + | 0.748967i | ||||
\(143\) | 498507.i | 2.03860i | ||||||||
\(144\) | −70434.0 | + | 51173.3i | −0.283058 | + | 0.205654i | ||||
\(145\) | 334174. | − | 11552.4i | 1.31994 | − | 0.0456300i | ||||
\(146\) | 165742. | + | 120418.i | 0.643501 | + | 0.467531i | ||||
\(147\) | −37384.5 | + | 51455.3i | −0.142691 | + | 0.196398i | ||||
\(148\) | 195068. | + | 63381.4i | 0.732034 | + | 0.237852i | ||||
\(149\) | 215266. | 0.794347 | 0.397174 | − | 0.917743i | \(-0.369991\pi\) | ||||
0.397174 | + | 0.917743i | \(0.369991\pi\) | |||||||
\(150\) | −83031.1 | − | 205925.i | −0.301309 | − | 0.747274i | ||||
\(151\) | −349615. | −1.24781 | −0.623905 | − | 0.781500i | \(-0.714455\pi\) | ||||
−0.623905 | + | 0.781500i | \(0.714455\pi\) | |||||||
\(152\) | −29597.2 | − | 9616.73i | −0.103906 | − | 0.0337612i | ||||
\(153\) | 46719.5 | − | 64303.9i | 0.161350 | − | 0.222080i | ||||
\(154\) | 378425. | + | 274942.i | 1.28581 | + | 0.934199i | ||||
\(155\) | 16525.9 | − | 57556.5i | 0.0552505 | − | 0.192427i | ||||
\(156\) | −183333. | + | 133199.i | −0.603155 | + | 0.438218i | ||||
\(157\) | − | 174487.i | − | 0.564956i | −0.959274 | − | 0.282478i | \(-0.908844\pi\) | ||
0.959274 | − | 0.282478i | \(-0.0911565\pi\) | |||||||
\(158\) | 431818. | + | 594347.i | 1.37613 | + | 1.89408i | ||||
\(159\) | −2382.39 | − | 7332.24i | −0.00747343 | − | 0.0230009i | ||||
\(160\) | −277336. | − | 355230.i | −0.856457 | − | 1.09701i | ||||
\(161\) | 127284. | − | 391739.i | 0.386998 | − | 1.19106i | ||||
\(162\) | 49261.0 | − | 16005.9i | 0.147474 | − | 0.0479172i | ||||
\(163\) | 59450.9 | − | 19316.8i | 0.175263 | − | 0.0569463i | −0.220071 | − | 0.975484i | \(-0.570629\pi\) |
0.395334 | + | 0.918538i | \(0.370629\pi\) | |||||||
\(164\) | −130660. | + | 402132.i | −0.379345 | + | 1.16750i | ||||
\(165\) | 290322. | + | 83358.6i | 0.830176 | + | 0.238364i | ||||
\(166\) | −129103. | − | 397337.i | −0.363635 | − | 1.11915i | ||||
\(167\) | −4243.52 | − | 5840.70i | −0.0117743 | − | 0.0162059i | 0.803089 | − | 0.595859i | \(-0.203188\pi\) |
−0.814864 | + | 0.579653i | \(0.803188\pi\) | |||||||
\(168\) | − | 11754.0i | − | 0.0321300i | ||||||
\(169\) | 257408. | − | 187018.i | 0.693276 | − | 0.503694i | ||||
\(170\) | 358937. | + | 242289.i | 0.952568 | + | 0.643001i | ||||
\(171\) | 154109. | + | 111967.i | 0.403030 | + | 0.292818i | ||||
\(172\) | 257542. | − | 354476.i | 0.663784 | − | 0.913620i | ||||
\(173\) | −25839.7 | − | 8395.82i | −0.0656405 | − | 0.0213279i | 0.276013 | − | 0.961154i | \(-0.410987\pi\) |
−0.341653 | + | 0.939826i | \(0.610987\pi\) | |||||||
\(174\) | −424988. | −1.06415 | ||||||||
\(175\) | 299199. | + | 74821.4i | 0.738524 | + | 0.184685i | ||||
\(176\) | 645289. | 1.57026 | ||||||||
\(177\) | 320312. | + | 104076.i | 0.768492 | + | 0.249698i | ||||
\(178\) | −442927. | + | 609637.i | −1.04781 | + | 1.44219i | ||||
\(179\) | −456112. | − | 331385.i | −1.06399 | − | 0.773036i | −0.0891698 | − | 0.996016i | \(-0.528421\pi\) |
−0.974823 | + | 0.222980i | \(0.928421\pi\) | |||||||
\(180\) | 46916.6 | + | 129043.i | 0.107931 | + | 0.296861i | ||||
\(181\) | 55058.2 | − | 40002.2i | 0.124918 | − | 0.0907584i | −0.523572 | − | 0.851982i | \(-0.675401\pi\) |
0.648490 | + | 0.761223i | \(0.275401\pi\) | |||||||
\(182\) | − | 646942.i | − | 1.44773i | ||||||
\(183\) | −36555.4 | − | 50314.2i | −0.0806908 | − | 0.111061i | ||||
\(184\) | −17066.8 | − | 52526.2i | −0.0371627 | − | 0.114375i | ||||
\(185\) | −211548. | + | 313396.i | −0.454443 | + | 0.673230i | ||||
\(186\) | −23519.2 | + | 72384.8i | −0.0498472 | + | 0.153414i | ||||
\(187\) | −560294. | + | 182050.i | −1.17169 | + | 0.380704i | ||||
\(188\) | 347326. | − | 112853.i | 0.716710 | − | 0.232873i | ||||
\(189\) | −22232.6 | + | 68425.1i | −0.0452727 | + | 0.139335i | ||||
\(190\) | −580662. | + | 860217.i | −1.16692 | + | 1.72872i | ||||
\(191\) | −42517.3 | − | 130855.i | −0.0843300 | − | 0.259541i | 0.899996 | − | 0.435897i | \(-0.143569\pi\) |
−0.984326 | + | 0.176356i | \(0.943569\pi\) | |||||||
\(192\) | 154734. | + | 212973.i | 0.302923 | + | 0.416938i | ||||
\(193\) | 306283.i | 0.591874i | 0.955207 | + | 0.295937i | \(0.0956318\pi\) | ||||
−0.955207 | + | 0.295937i | \(0.904368\pi\) | |||||||
\(194\) | 313379. | − | 227683.i | 0.597814 | − | 0.434337i | ||||
\(195\) | −142744. | − | 392614.i | −0.268826 | − | 0.739399i | ||||
\(196\) | 173369. | + | 125960.i | 0.322352 | + | 0.234203i | ||||
\(197\) | −164636. | + | 226603.i | −0.302246 | + | 0.416006i | −0.932943 | − | 0.360023i | \(-0.882769\pi\) |
0.630698 | + | 0.776029i | \(0.282769\pi\) | |||||||
\(198\) | −365118. | − | 118634.i | −0.661865 | − | 0.215053i | ||||
\(199\) | 351689. | 0.629544 | 0.314772 | − | 0.949167i | \(-0.398072\pi\) | ||||
0.314772 | + | 0.949167i | \(0.398072\pi\) | |||||||
\(200\) | 38353.0 | − | 15464.3i | 0.0677991 | − | 0.0273374i | ||||
\(201\) | −538407. | −0.939984 | ||||||||
\(202\) | −155659. | − | 50576.8i | −0.268409 | − | 0.0872113i | ||||
\(203\) | 346982. | − | 477580.i | 0.590972 | − | 0.813403i | ||||
\(204\) | −216660. | − | 157413.i | −0.364504 | − | 0.264828i | ||||
\(205\) | −646064. | − | 436105.i | −1.07372 | − | 0.724780i | ||||
\(206\) | 408913. | − | 297093.i | 0.671372 | − | 0.487780i | ||||
\(207\) | 338060.i | 0.548363i | ||||||||
\(208\) | −524584. | − | 722028.i | −0.840731 | − | 1.15717i | ||||
\(209\) | −436296. | − | 1.34278e6i | −0.690901 | − | 2.12637i | ||||
\(210\) | −376768. | − | 108179.i | −0.589556 | − | 0.169276i | ||||
\(211\) | −297350. | + | 915149.i | −0.459792 | + | 1.41510i | 0.405623 | + | 0.914040i | \(0.367055\pi\) |
−0.865415 | + | 0.501055i | \(0.832945\pi\) | |||||||
\(212\) | −24704.6 | + | 8027.01i | −0.0377518 | + | 0.0122663i | ||||
\(213\) | 241184. | − | 78365.4i | 0.364250 | − | 0.118352i | ||||
\(214\) | −73809.0 | + | 227161.i | −0.110173 | + | 0.339077i | ||||
\(215\) | 497071. | + | 636681.i | 0.733368 | + | 0.939347i | ||||
\(216\) | 2981.06 | + | 9174.75i | 0.00434746 | + | 0.0133801i | ||||
\(217\) | −62140.1 | − | 85528.4i | −0.0895823 | − | 0.123299i | ||||
\(218\) | − | 169260.i | − | 0.241220i | ||||||
\(219\) | 188950. | − | 137280.i | 0.266218 | − | 0.193418i | ||||
\(220\) | 280861. | − | 978184.i | 0.391232 | − | 1.36259i | ||||
\(221\) | 659188. | + | 478928.i | 0.907880 | + | 0.659614i | ||||
\(222\) | 282478. | − | 388797.i | 0.384682 | − | 0.529469i | ||||
\(223\) | −505073. | − | 164108.i | −0.680130 | − | 0.220987i | −0.0514774 | − | 0.998674i | \(-0.516393\pi\) |
−0.628652 | + | 0.777687i | \(0.716393\pi\) | |||||||
\(224\) | −795637. | −1.05948 | ||||||||
\(225\) | −252521. | + | 17480.1i | −0.332538 | + | 0.0230191i | ||||
\(226\) | −1.39238e6 | −1.81337 | ||||||||
\(227\) | −634773. | − | 206250.i | −0.817625 | − | 0.265662i | −0.129801 | − | 0.991540i | \(-0.541434\pi\) |
−0.687824 | + | 0.725878i | \(0.741434\pi\) | |||||||
\(228\) | 377250. | − | 519240.i | 0.480609 | − | 0.661501i | ||||
\(229\) | 668799. | + | 485911.i | 0.842765 | + | 0.612305i | 0.923142 | − | 0.384460i | \(-0.125612\pi\) |
−0.0803765 | + | 0.996765i | \(0.525612\pi\) | |||||||
\(230\) | −1.84078e6 | + | 63635.6i | −2.29447 | + | 0.0793196i | ||||
\(231\) | 431416. | − | 313442.i | 0.531944 | − | 0.386480i | ||||
\(232\) | − | 79153.0i | − | 0.0965489i | ||||||
\(233\) | −796112. | − | 1.09575e6i | −0.960692 | − | 1.32228i | −0.946611 | − | 0.322379i | \(-0.895518\pi\) |
−0.0140814 | − | 0.999901i | \(-0.504482\pi\) | |||||||
\(234\) | 164078. | + | 504981.i | 0.195890 | + | 0.602886i | ||||
\(235\) | 23260.1 | + | 672843.i | 0.0274753 | + | 0.794775i | ||||
\(236\) | 350663. | − | 1.07923e6i | 0.409835 | − | 1.26134i | ||||
\(237\) | 796534. | − | 258810.i | 0.921157 | − | 0.299302i | ||||
\(238\) | 727125. | − | 236257.i | 0.832084 | − | 0.270360i | ||||
\(239\) | −817.164 | + | 2514.97i | −0.000925368 | + | 0.00284799i | −0.951518 | − | 0.307593i | \(-0.900477\pi\) |
0.950593 | + | 0.310441i | \(0.100477\pi\) | |||||||
\(240\) | −508216. | + | 184774.i | −0.569535 | + | 0.207068i | ||||
\(241\) | 25330.5 | + | 77959.4i | 0.0280932 | + | 0.0864621i | 0.964120 | − | 0.265467i | \(-0.0855260\pi\) |
−0.936027 | + | 0.351929i | \(0.885526\pi\) | |||||||
\(242\) | 925208. | + | 1.27344e6i | 1.01555 | + | 1.39778i | ||||
\(243\) | − | 59049.0i | − | 0.0641500i | ||||||
\(244\) | −169524. | + | 123166.i | −0.182287 | + | 0.132440i | ||||
\(245\) | −311391. | + | 243110.i | −0.331429 | + | 0.258754i | ||||
\(246\) | 801504. | + | 582327.i | 0.844438 | + | 0.613520i | ||||
\(247\) | −1.14778e6 | + | 1.57979e6i | −1.19707 | + | 1.64762i | ||||
\(248\) | −13481.5 | − | 4380.41i | −0.0139190 | − | 0.00452257i | ||||
\(249\) | −476287. | −0.486822 | ||||||||
\(250\) | −142715. | − | 1.37172e6i | −0.144418 | − | 1.38808i | ||||
\(251\) | 127047. | 0.127286 | 0.0636429 | − | 0.997973i | \(-0.479728\pi\) | ||||
0.0636429 | + | 0.997973i | \(0.479728\pi\) | |||||||
\(252\) | 230545. | + | 74908.6i | 0.228694 | + | 0.0743071i | ||||
\(253\) | 1.47280e6 | − | 2.02713e6i | 1.44658 | − | 1.99104i | ||||
\(254\) | 1.34145e6 | + | 974623.i | 1.30464 | + | 0.947878i | ||||
\(255\) | 389147. | − | 303815.i | 0.374768 | − | 0.292590i | ||||
\(256\) | −930090. | + | 675750.i | −0.887003 | + | 0.644446i | ||||
\(257\) | 1.67789e6i | 1.58464i | 0.610107 | + | 0.792319i | \(0.291127\pi\) | ||||
−0.610107 | + | 0.792319i | \(0.708873\pi\) | |||||||
\(258\) | −603440. | − | 830564.i | −0.564397 | − | 0.776826i | ||||
\(259\) | 206281. | + | 634869.i | 0.191078 | + | 0.588077i | ||||
\(260\) | −1.32284e6 | + | 480948.i | −1.21359 | + | 0.441230i | ||||
\(261\) | −149718. | + | 460785.i | −0.136042 | + | 0.418694i | ||||
\(262\) | 135311. | − | 43965.1i | 0.121781 | − | 0.0395690i | ||||
\(263\) | 599681. | − | 194848.i | 0.534602 | − | 0.173703i | −0.0292599 | − | 0.999572i | \(-0.509315\pi\) |
0.563862 | + | 0.825869i | \(0.309315\pi\) | |||||||
\(264\) | 22095.3 | − | 68002.3i | 0.0195115 | − | 0.0600501i | ||||
\(265\) | −1654.44 | − | 47857.9i | −0.00144723 | − | 0.0418638i | ||||
\(266\) | 566207. | + | 1.74261e6i | 0.490649 | + | 1.51006i | ||||
\(267\) | 504950. | + | 695003.i | 0.433481 | + | 0.596635i | ||||
\(268\) | 1.81406e6i | 1.54282i | ||||||||
\(269\) | 368179. | − | 267498.i | 0.310226 | − | 0.225393i | −0.421767 | − | 0.906704i | \(-0.638590\pi\) |
0.731994 | + | 0.681312i | \(0.238590\pi\) | |||||||
\(270\) | 321529. | − | 11115.2i | 0.268417 | − | 0.00927916i | ||||
\(271\) | 431488. | + | 313494.i | 0.356899 | + | 0.259302i | 0.751758 | − | 0.659440i | \(-0.229206\pi\) |
−0.394858 | + | 0.918742i | \(0.629206\pi\) | |||||||
\(272\) | 619945. | − | 853281.i | 0.508079 | − | 0.699310i | ||||
\(273\) | −701434. | − | 227910.i | −0.569614 | − | 0.185079i | ||||
\(274\) | 1.73516e6 | 1.39625 | ||||||||
\(275\) | 1.59036e6 | + | 995316.i | 1.26813 | + | 0.793650i | ||||
\(276\) | 1.13903e6 | 0.900041 | ||||||||
\(277\) | 1.82895e6 | + | 594261.i | 1.43219 | + | 0.465348i | 0.919454 | − | 0.393197i | \(-0.128631\pi\) |
0.512739 | + | 0.858545i | \(0.328631\pi\) | |||||||
\(278\) | 1.04082e6 | − | 1.43257e6i | 0.807728 | − | 1.11174i | ||||
\(279\) | 70196.3 | + | 51000.6i | 0.0539888 | + | 0.0392252i | ||||
\(280\) | 20148.1 | − | 70172.1i | 0.0153582 | − | 0.0534896i | ||||
\(281\) | −1.41984e6 | + | 1.03157e6i | −1.07269 | + | 0.779354i | −0.976394 | − | 0.215998i | \(-0.930699\pi\) |
−0.0962955 | + | 0.995353i | \(0.530699\pi\) | |||||||
\(282\) | − | 855692.i | − | 0.640759i | ||||||
\(283\) | 393623. | + | 541776.i | 0.292156 | + | 0.402118i | 0.929713 | − | 0.368285i | \(-0.120055\pi\) |
−0.637557 | + | 0.770403i | \(0.720055\pi\) | |||||||
\(284\) | −264037. | − | 812622.i | −0.194254 | − | 0.597851i | ||||
\(285\) | 728114. | + | 932617.i | 0.530991 | + | 0.680128i | ||||
\(286\) | 1.21613e6 | − | 3.74287e6i | 0.879155 | − | 2.70576i | ||||
\(287\) | −1.30878e6 | + | 425248.i | −0.937911 | + | 0.304746i | ||||
\(288\) | 621048. | − | 201791.i | 0.441208 | − | 0.143357i | ||||
\(289\) | 141202. | − | 434574.i | 0.0994478 | − | 0.306069i | ||||
\(290\) | −2.53721e6 | − | 728497.i | −1.77158 | − | 0.508666i | ||||
\(291\) | −136462. | − | 419986.i | −0.0944666 | − | 0.290738i | ||||
\(292\) | −462539. | − | 636631.i | −0.317462 | − | 0.436949i | ||||
\(293\) | 1.15530e6i | 0.786187i | 0.919499 | + | 0.393093i | \(0.128595\pi\) | ||||
−0.919499 | + | 0.393093i | \(0.871405\pi\) | |||||||
\(294\) | 406216. | − | 295133.i | 0.274087 | − | 0.199136i | ||||
\(295\) | 1.73389e6 | + | 1.17040e6i | 1.16002 | + | 0.783035i | ||||
\(296\) | 72412.6 | + | 52610.8i | 0.0480380 | + | 0.0349017i | ||||
\(297\) | −257253. | + | 354079.i | −0.169227 | + | 0.232921i | ||||
\(298\) | −1.61625e6 | − | 525152.i | −1.05431 | − | 0.342566i | ||||
\(299\) | −3.46550e6 | −2.24176 | ||||||||
\(300\) | 58895.9 | + | 850820.i | 0.0377817 | + | 0.545801i | ||||
\(301\) | 1.42603e6 | 0.907217 | ||||||||
\(302\) | 2.62497e6 | + | 852903.i | 1.65618 | + | 0.538124i | ||||
\(303\) | −109674. | + | 150953.i | −0.0686273 | + | 0.0944573i | ||||
\(304\) | 2.04495e6 | + | 1.48574e6i | 1.26911 | + | 0.922059i | ||||
\(305\) | −131992. | − | 363042.i | −0.0812455 | − | 0.223464i | ||||
\(306\) | −507650. | + | 368829.i | −0.309928 | + | 0.225176i | ||||
\(307\) | 139944.i | 0.0847438i | 0.999102 | + | 0.0423719i | \(0.0134914\pi\) | ||||
−0.999102 | + | 0.0423719i | \(0.986509\pi\) | |||||||
\(308\) | −1.05608e6 | − | 1.45357e6i | −0.634338 | − | 0.873092i | ||||
\(309\) | −178062. | − | 548019.i | −0.106090 | − | 0.326512i | ||||
\(310\) | −264491. | + | 391828.i | −0.156317 | + | 0.231575i | ||||
\(311\) | −227175. | + | 699174.i | −0.133187 | + | 0.409906i | −0.995304 | − | 0.0968033i | \(-0.969138\pi\) |
0.862117 | + | 0.506709i | \(0.169138\pi\) | |||||||
\(312\) | −94051.6 | + | 30559.2i | −0.0546990 | + | 0.0177728i | ||||
\(313\) | −281464. | + | 91453.3i | −0.162391 | + | 0.0527641i | −0.389084 | − | 0.921202i | \(-0.627209\pi\) |
0.226693 | + | 0.973966i | \(0.427209\pi\) | |||||||
\(314\) | −425670. | + | 1.31008e6i | −0.243640 | + | 0.749848i | ||||
\(315\) | −250022. | + | 370393.i | −0.141972 | + | 0.210323i | ||||
\(316\) | −872009. | − | 2.68377e6i | −0.491251 | − | 1.51192i | ||||
\(317\) | −1.30504e6 | − | 1.79623e6i | −0.729417 | − | 1.00396i | −0.999158 | − | 0.0410235i | \(-0.986938\pi\) |
0.269741 | − | 0.962933i | \(-0.413062\pi\) | |||||||
\(318\) | 60863.6i | 0.0337512i | ||||||||
\(319\) | 2.90522e6 | − | 2.11077e6i | 1.59846 | − | 1.16135i | ||||
\(320\) | 558705. | + | 1.53670e6i | 0.305005 | + | 0.838910i | ||||
\(321\) | 220293. | + | 160052.i | 0.119327 | + | 0.0866959i | ||||
\(322\) | −1.91133e6 | + | 2.63072e6i | −1.02730 | + | 1.41395i | ||||
\(323\) | −2.19475e6 | − | 713119.i | −1.17052 | − | 0.380326i | ||||
\(324\) | −198954. | −0.105291 | ||||||||
\(325\) | −179191. | − | 2.58862e6i | −0.0941039 | − | 1.35944i | ||||
\(326\) | −493490. | −0.257179 | ||||||||
\(327\) | −183517. | − | 59628.3i | −0.0949090 | − | 0.0308378i | ||||
\(328\) | −108457. | + | 149278.i | −0.0556638 | + | 0.0766147i | ||||
\(329\) | 961584. | + | 698632.i | 0.489776 | + | 0.355843i | ||||
\(330\) | −1.97643e6 | − | 1.33412e6i | −0.999069 | − | 0.674390i | ||||
\(331\) | 1.98796e6 | − | 1.44434e6i | 0.997329 | − | 0.724602i | 0.0358149 | − | 0.999358i | \(-0.488597\pi\) |
0.961514 | + | 0.274757i | \(0.0885973\pi\) | |||||||
\(332\) | 1.60476e6i | 0.799032i | ||||||||
\(333\) | −322033. | − | 443240.i | −0.159144 | − | 0.219042i | ||||
\(334\) | 17612.3 | + | 54205.2i | 0.00863875 | + | 0.0265873i | ||||
\(335\) | −3.21433e6 | − | 922915.i | −1.56487 | − | 0.449314i | ||||
\(336\) | −295016. | + | 907966.i | −0.142560 | + | 0.438754i | ||||
\(337\) | −1.36489e6 | + | 443480.i | −0.654671 | + | 0.212716i | −0.617473 | − | 0.786592i | \(-0.711843\pi\) |
−0.0371987 | + | 0.999308i | \(0.511843\pi\) | |||||||
\(338\) | −2.38890e6 | + | 776201.i | −1.13738 | + | 0.369558i | ||||
\(339\) | −490518. | + | 1.50966e6i | −0.231822 | + | 0.713476i | ||||
\(340\) | −1.02365e6 | − | 1.31116e6i | −0.480234 | − | 0.615116i | ||||
\(341\) | −198732. | − | 611635.i | −0.0925513 | − | 0.284844i | ||||
\(342\) | −883924. | − | 1.21662e6i | −0.408648 | − | 0.562456i | ||||
\(343\) | 2.35616e6i | 1.08136i | ||||||||
\(344\) | 154691. | − | 112389.i | 0.0704803 | − | 0.0512070i | ||||
\(345\) | −579489. | + | 2.01825e6i | −0.262118 | + | 0.912908i | ||||
\(346\) | 173526. | + | 126074.i | 0.0779247 | + | 0.0566156i | ||||
\(347\) | 2.34426e6 | − | 3.22660e6i | 1.04516 | − | 1.43854i | 0.152226 | − | 0.988346i | \(-0.451356\pi\) |
0.892932 | − | 0.450191i | \(-0.148644\pi\) | |||||||
\(348\) | 1.55253e6 | + | 504447.i | 0.687213 | + | 0.223289i | ||||
\(349\) | −4.24080e6 | −1.86374 | −0.931868 | − | 0.362797i | \(-0.881822\pi\) | ||||
−0.931868 | + | 0.362797i | \(0.881822\pi\) | |||||||
\(350\) | −2.06390e6 | − | 1.29168e6i | −0.900572 | − | 0.563618i | ||||
\(351\) | 605319. | 0.262251 | ||||||||
\(352\) | −4.60314e6 | − | 1.49565e6i | −1.98015 | − | 0.643389i | ||||
\(353\) | 1.18842e6 | − | 1.63572e6i | 0.507615 | − | 0.698672i | −0.475900 | − | 0.879500i | \(-0.657878\pi\) |
0.983515 | + | 0.180827i | \(0.0578775\pi\) | |||||||
\(354\) | −2.15105e6 | − | 1.56283e6i | −0.912311 | − | 0.662832i | ||||
\(355\) | 1.57422e6 | − | 54420.5i | 0.662970 | − | 0.0229188i | ||||
\(356\) | 2.34168e6 | − | 1.70133e6i | 0.979270 | − | 0.711482i | ||||
\(357\) | − | 871603.i | − | 0.361950i | ||||||
\(358\) | 2.61613e6 | + | 3.60079e6i | 1.07883 | + | 1.48488i | ||||
\(359\) | 1.47486e6 | + | 4.53914e6i | 0.603968 | + | 1.85882i | 0.503735 | + | 0.863858i | \(0.331959\pi\) |
0.100233 | + | 0.994964i | \(0.468041\pi\) | |||||||
\(360\) | 2070.18 | + | 59884.0i | 0.000841885 | + | 0.0243531i | ||||
\(361\) | 943881. | − | 2.90497e6i | 0.381197 | − | 1.17320i | ||||
\(362\) | −510973. | + | 166025.i | −0.204940 | + | 0.0665890i | ||||
\(363\) | 1.70664e6 | − | 554522.i | 0.679792 | − | 0.220878i | ||||
\(364\) | −767898. | + | 2.36335e6i | −0.303774 | + | 0.934920i | ||||
\(365\) | 1.36337e6 | − | 495684.i | 0.535650 | − | 0.194748i | ||||
\(366\) | 151720. | + | 466945.i | 0.0592024 | + | 0.182206i | ||||
\(367\) | 1.00271e6 | + | 1.38012e6i | 0.388608 | + | 0.534872i | 0.957839 | − | 0.287305i | \(-0.0927592\pi\) |
−0.569232 | + | 0.822177i | \(0.692759\pi\) | |||||||
\(368\) | 4.48589e6i | 1.72675i | ||||||||
\(369\) | 913737. | − | 663869.i | 0.349346 | − | 0.253815i | ||||
\(370\) | 2.35288e6 | − | 1.83694e6i | 0.893501 | − | 0.697575i | ||||
\(371\) | −68395.4 | − | 49692.2i | −0.0257984 | − | 0.0187436i | ||||
\(372\) | 171837. | − | 236513.i | 0.0643811 | − | 0.0886130i | ||||
\(373\) | −1.67384e6 | − | 543865.i | −0.622935 | − | 0.202404i | −0.0194920 | − | 0.999810i | \(-0.506205\pi\) |
−0.603443 | + | 0.797406i | \(0.706205\pi\) | |||||||
\(374\) | 4.65089e6 | 1.71932 | ||||||||
\(375\) | −1.53753e6 | − | 328503.i | −0.564607 | − | 0.120632i | ||||
\(376\) | 159371. | 0.0581352 | ||||||||
\(377\) | −4.72357e6 | − | 1.53478e6i | −1.71166 | − | 0.556151i | ||||
\(378\) | 333852. | − | 459508.i | 0.120178 | − | 0.165411i | ||||
\(379\) | 874177. | + | 635127.i | 0.312609 | + | 0.227124i | 0.733015 | − | 0.680212i | \(-0.238112\pi\) |
−0.420406 | + | 0.907336i | \(0.638112\pi\) | |||||||
\(380\) | 3.14227e6 | − | 2.45324e6i | 1.11631 | − | 0.871527i | ||||
\(381\) | 1.52930e6 | − | 1.11110e6i | 0.539733 | − | 0.392139i | ||||
\(382\) | 1.08620e6i | 0.380848i | ||||||||
\(383\) | −2.66467e6 | − | 3.66760e6i | −0.928210 | − | 1.27757i | −0.960554 | − | 0.278095i | \(-0.910297\pi\) |
0.0323437 | − | 0.999477i | \(-0.489703\pi\) | |||||||
\(384\) | 75269.5 | + | 231656.i | 0.0260490 | + | 0.0801705i | ||||
\(385\) | 3.11288e6 | − | 1.13176e6i | 1.07031 | − | 0.389137i | ||||
\(386\) | 747191. | − | 2.29962e6i | 0.255249 | − | 0.785574i | ||||
\(387\) | −1.11311e6 | + | 361671.i | −0.377798 | + | 0.122754i | ||||
\(388\) | −1.41506e6 | + | 459781.i | −0.477195 | + | 0.155050i | ||||
\(389\) | 390129. | − | 1.20069e6i | 0.130718 | − | 0.402308i | −0.864182 | − | 0.503180i | \(-0.832163\pi\) |
0.994899 | + | 0.100872i | \(0.0321633\pi\) | |||||||
\(390\) | 113944. | + | 3.29604e6i | 0.0379340 | + | 1.09731i | ||||
\(391\) | −1.26557e6 | − | 3.89503e6i | −0.418644 | − | 1.28845i | ||||
\(392\) | 54967.9 | + | 75656.8i | 0.0180673 | + | 0.0248675i | ||||
\(393\) | − | 162197.i | − | 0.0529737i | ||||||
\(394\) | 1.78892e6 | − | 1.29973e6i | 0.580565 | − | 0.421805i | ||||
\(395\) | 5.19902e6 | − | 179729.i | 1.67660 | − | 0.0579598i | ||||
\(396\) | 1.19300e6 | + | 866765.i | 0.382298 | + | 0.277756i | ||||
\(397\) | −1.28977e6 | + | 1.77522e6i | −0.410712 | + | 0.565297i | −0.963392 | − | 0.268097i | \(-0.913605\pi\) |
0.552680 | + | 0.833394i | \(0.313605\pi\) | |||||||
\(398\) | −2.64054e6 | − | 857962.i | −0.835573 | − | 0.271494i | ||||
\(399\) | 2.08886e6 | 0.656865 | ||||||||
\(400\) | −3.35082e6 | + | 231952.i | −1.04713 | + | 0.0724851i | ||||
\(401\) | −5.53532e6 | −1.71902 | −0.859512 | − | 0.511115i | \(-0.829232\pi\) | ||||
−0.859512 | + | 0.511115i | \(0.829232\pi\) | |||||||
\(402\) | 4.04244e6 | + | 1.31347e6i | 1.24761 | + | 0.405373i | ||||
\(403\) | −522814. | + | 719592.i | −0.160356 | + | 0.220711i | ||||
\(404\) | 508608. | + | 369525.i | 0.155035 | + | 0.112639i | ||||
\(405\) | 101219. | − | 352528.i | 0.0306638 | − | 0.106796i | ||||
\(406\) | −3.77027e6 | + | 2.73926e6i | −1.13516 | + | 0.824744i | ||||
\(407\) | 4.06079e6i | 1.21514i | ||||||||
\(408\) | −68693.6 | − | 94548.6i | −0.0204299 | − | 0.0281193i | ||||
\(409\) | −308363. | − | 949043.i | −0.0911493 | − | 0.280529i | 0.895082 | − | 0.445902i | \(-0.147117\pi\) |
−0.986231 | + | 0.165373i | \(0.947117\pi\) | |||||||
\(410\) | 3.78685e6 | + | 4.85045e6i | 1.11255 | + | 1.42502i | ||||
\(411\) | 611276. | − | 1.88131e6i | 0.178498 | − | 0.549360i | ||||
\(412\) | −1.84644e6 | + | 599946.i | −0.535911 | + | 0.174128i | ||||
\(413\) | 3.51246e6 | − | 1.14127e6i | 1.01330 | − | 0.329240i | ||||
\(414\) | 824714. | − | 2.53821e6i | 0.236485 | − | 0.727825i | ||||
\(415\) | −2.84347e6 | − | 816432.i | −0.810455 | − | 0.232702i | ||||
\(416\) | 2.06858e6 | + | 6.36644e6i | 0.586056 | + | 1.80370i | ||||
\(417\) | −1.18657e6 | − | 1.63317e6i | −0.334158 | − | 0.459930i | ||||
\(418\) | 1.11462e7i | 3.12022i | ||||||||
\(419\) | −3.23938e6 | + | 2.35355e6i | −0.901419 | + | 0.654919i | −0.938830 | − | 0.344381i | \(-0.888089\pi\) |
0.0374109 | + | 0.999300i | \(0.488089\pi\) | |||||||
\(420\) | 1.24797e6 | + | 842402.i | 0.345208 | + | 0.233022i | ||||
\(421\) | −1.16240e6 | − | 844531.i | −0.319631 | − | 0.232226i | 0.416387 | − | 0.909188i | \(-0.363296\pi\) |
−0.736018 | + | 0.676962i | \(0.763296\pi\) | |||||||
\(422\) | 4.46510e6 | − | 6.14568e6i | 1.22053 | − | 1.67992i | ||||
\(423\) | −927769. | − | 301450.i | −0.252109 | − | 0.0819153i | ||||
\(424\) | −11335.7 | −0.00306220 | ||||||||
\(425\) | 2.84403e6 | − | 1.14674e6i | 0.763768 | − | 0.307960i | ||||
\(426\) | −2.00202e6 | −0.534496 | ||||||||
\(427\) | −648602. | − | 210743.i | −0.172151 | − | 0.0559351i | ||||
\(428\) | 539264. | − | 742234.i | 0.142296 | − | 0.195854i | ||||
\(429\) | −3.62971e6 | − | 2.63714e6i | −0.952200 | − | 0.691814i | ||||
\(430\) | −2.17887e6 | − | 5.99293e6i | −0.568277 | − | 1.56303i | ||||
\(431\) | −4.08029e6 | + | 2.96450e6i | −1.05803 | + | 0.768703i | −0.973723 | − | 0.227736i | \(-0.926868\pi\) |
−0.0843067 | + | 0.996440i | \(0.526868\pi\) | |||||||
\(432\) | − | 783551.i | − | 0.202003i | ||||||
\(433\) | 1.66389e6 | + | 2.29015e6i | 0.426486 | + | 0.587007i | 0.967142 | − | 0.254236i | \(-0.0818241\pi\) |
−0.540657 | + | 0.841243i | \(0.681824\pi\) | |||||||
\(434\) | 257906. | + | 793754.i | 0.0657261 | + | 0.202284i | ||||
\(435\) | −1.68369e6 | + | 2.49429e6i | −0.426618 | + | 0.632009i | ||||
\(436\) | −200906. | + | 618326.i | −0.0506148 | + | 0.155776i | ||||
\(437\) | 9.33470e6 | − | 3.03303e6i | 2.33828 | − | 0.759753i | ||||
\(438\) | −1.75357e6 | + | 569769.i | −0.436754 | + | 0.141910i | ||||
\(439\) | 871251. | − | 2.68144e6i | 0.215766 | − | 0.664058i | −0.783333 | − | 0.621603i | \(-0.786482\pi\) |
0.999098 | − | 0.0424556i | \(-0.0135181\pi\) | |||||||
\(440\) | 248477. | − | 368105.i | 0.0611865 | − | 0.0906441i | ||||
\(441\) | −176888. | − | 544404.i | −0.0433113 | − | 0.133298i | ||||
\(442\) | −3.78092e6 | − | 5.20399e6i | −0.920538 | − | 1.26701i | ||||
\(443\) | − | 2.85447e6i | − | 0.691061i | −0.938408 | − | 0.345530i | \(-0.887699\pi\) | ||
0.938408 | − | 0.345530i | \(-0.112301\pi\) | |||||||
\(444\) | −1.49341e6 | + | 1.08503e6i | −0.359519 | + | 0.261206i | ||||
\(445\) | 1.82325e6 | + | 5.01479e6i | 0.436461 | + | 1.20047i | ||||
\(446\) | 3.39181e6 | + | 2.46430e6i | 0.807411 | + | 0.586619i | ||||
\(447\) | −1.13877e6 | + | 1.56739e6i | −0.269568 | + | 0.371029i | ||||
\(448\) | 2.74544e6 | + | 892047.i | 0.646274 | + | 0.209987i | ||||
\(449\) | −2.95959e6 | −0.692813 | −0.346406 | − | 0.938085i | \(-0.612598\pi\) | ||||
−0.346406 | + | 0.938085i | \(0.612598\pi\) | |||||||
\(450\) | 1.93861e6 | + | 484793.i | 0.451293 | + | 0.112856i | ||||
\(451\) | −8.37131e6 | −1.93799 | ||||||||
\(452\) | 5.08650e6 | + | 1.65270e6i | 1.17104 | + | 0.380495i | ||||
\(453\) | 1.84949e6 | − | 2.54560e6i | 0.423454 | − | 0.582835i | ||||
\(454\) | 4.26282e6 | + | 3.09712e6i | 0.970638 | + | 0.705210i | ||||
\(455\) | −3.79695e6 | − | 2.56301e6i | −0.859817 | − | 0.580393i | ||||
\(456\) | 226592. | − | 164629.i | 0.0510309 | − | 0.0370761i | ||||
\(457\) | − | 3.60240e6i | − | 0.806867i | −0.915009 | − | 0.403433i | \(-0.867817\pi\) | ||
0.915009 | − | 0.403433i | \(-0.132183\pi\) | |||||||
\(458\) | −3.83604e6 | − | 5.27986e6i | −0.854515 | − | 1.17614i | ||||
\(459\) | 221057. | + | 680344.i | 0.0489748 | + | 0.150729i | ||||
\(460\) | 6.80010e6 | + | 1.95248e6i | 1.49838 | + | 0.430221i | ||||
\(461\) | 1.51877e6 | − | 4.67429e6i | 0.332843 | − | 1.02438i | −0.634932 | − | 0.772568i | \(-0.718972\pi\) |
0.967775 | − | 0.251817i | \(-0.0810280\pi\) | |||||||
\(462\) | −4.00379e6 | + | 1.30091e6i | −0.872703 | + | 0.283558i | ||||
\(463\) | −1.36410e6 | + | 443223.i | −0.295729 | + | 0.0960881i | −0.453124 | − | 0.891448i | \(-0.649690\pi\) |
0.157395 | + | 0.987536i | \(0.449690\pi\) | |||||||
\(464\) | −1.98669e6 | + | 6.11439e6i | −0.428385 | + | 1.31843i | ||||
\(465\) | 331655. | + | 424806.i | 0.0711302 | + | 0.0911083i | ||||
\(466\) | 3.30419e6 | + | 1.01692e7i | 0.704855 | + | 2.16932i | ||||
\(467\) | 2.89974e6 | + | 3.99115e6i | 0.615272 | + | 0.846849i | 0.996998 | − | 0.0774265i | \(-0.0246703\pi\) |
−0.381726 | + | 0.924275i | \(0.624670\pi\) | |||||||
\(468\) | − | 2.03951e6i | − | 0.430438i | ||||||
\(469\) | −4.77647e6 | + | 3.47031e6i | −1.00271 | + | 0.728511i | ||||
\(470\) | 1.46679e6 | − | 5.10856e6i | 0.306284 | − | 1.06673i | ||||
\(471\) | 1.27047e6 | + | 923050.i | 0.263883 | + | 0.191722i | ||||
\(472\) | 291074. | − | 400629.i | 0.0601378 | − | 0.0827726i | ||||
\(473\) | 8.25024e6 | + | 2.68067e6i | 1.69556 | + | 0.550922i | ||||
\(474\) | −6.61188e6 | −1.35170 | ||||||||
\(475\) | 2.74825e6 | + | 6.81590e6i | 0.558884 | + | 1.38608i | ||||
\(476\) | −2.93670e6 | −0.594076 | ||||||||
\(477\) | 65990.2 | + | 21441.5i | 0.0132796 | + | 0.00431479i | ||||
\(478\) | 12270.8 | − | 16889.3i | 0.00245642 | − | 0.00338097i | ||||
\(479\) | −6.44308e6 | − | 4.68117e6i | −1.28308 | − | 0.932215i | −0.283442 | − | 0.958989i | \(-0.591476\pi\) |
−0.999641 | + | 0.0267745i | \(0.991476\pi\) | |||||||
\(480\) | 4.05361e6 | − | 140133.i | 0.803043 | − | 0.0277611i | ||||
\(481\) | 4.54371e6 | − | 3.30120e6i | 0.895464 | − | 0.650593i | ||||
\(482\) | − | 647126.i | − | 0.126874i | ||||||
\(483\) | 2.17897e6 | + | 2.99910e6i | 0.424995 | + | 0.584956i | ||||
\(484\) | −1.86835e6 | − | 5.75020e6i | −0.362532 | − | 1.11576i | ||||
\(485\) | −94765.3 | − | 2.74127e6i | −0.0182934 | − | 0.529172i | ||||
\(486\) | −144053. | + | 443349.i | −0.0276650 | + | 0.0851442i | ||||
\(487\) | −1.57177e6 | + | 510698.i | −0.300307 | + | 0.0975757i | −0.455295 | − | 0.890341i | \(-0.650466\pi\) |
0.154988 | + | 0.987916i | \(0.450466\pi\) | |||||||
\(488\) | −86967.5 | + | 28257.5i | −0.0165313 | + | 0.00537135i | ||||
\(489\) | −173851. | + | 535058.i | −0.0328779 | + | 0.101188i | ||||
\(490\) | 2.93105e6 | − | 1.06565e6i | 0.551484 | − | 0.200505i | ||||
\(491\) | 1.73234e6 | + | 5.33160e6i | 0.324287 | + | 0.998053i | 0.971761 | + | 0.235965i | \(0.0758252\pi\) |
−0.647474 | + | 0.762087i | \(0.724175\pi\) | |||||||
\(492\) | −2.23678e6 | − | 3.07866e6i | −0.416591 | − | 0.573389i | ||||
\(493\) | − | 5.86951e6i | − | 1.08764i | ||||||
\(494\) | 1.24717e7 | − | 9.06123e6i | 2.29937 | − | 1.67059i | ||||
\(495\) | −2.14277e6 | + | 1.67291e6i | −0.393063 | + | 0.306873i | ||||
\(496\) | 931470. | + | 676753.i | 0.170006 | + | 0.123517i | ||||
\(497\) | 1.63455e6 | − | 2.24977e6i | 0.296830 | − | 0.408552i | ||||
\(498\) | 3.57604e6 | + | 1.16192e6i | 0.646143 | + | 0.209945i | ||||
\(499\) | −5.40101e6 | −0.971009 | −0.485505 | − | 0.874234i | \(-0.661364\pi\) | ||||
−0.485505 | + | 0.874234i | \(0.661364\pi\) | |||||||
\(500\) | −1.10683e6 | + | 5.18042e6i | −0.197995 | + | 0.926702i | ||||
\(501\) | 64975.6 | 0.0115653 | ||||||||
\(502\) | −953888. | − | 309937.i | −0.168942 | − | 0.0548926i | ||||
\(503\) | −2.17162e6 | + | 2.98898e6i | −0.382704 | + | 0.526747i | −0.956298 | − | 0.292392i | \(-0.905549\pi\) |
0.573594 | + | 0.819140i | \(0.305549\pi\) | |||||||
\(504\) | 85582.4 | + | 62179.2i | 0.0150075 | + | 0.0109036i | ||||
\(505\) | −913520. | + | 713205.i | −0.159400 | + | 0.124447i | ||||
\(506\) | −1.60033e7 | + | 1.16270e7i | −2.77864 | + | 2.01880i | ||||
\(507\) | 2.86357e6i | 0.494752i | ||||||||
\(508\) | −3.74363e6 | − | 5.15267e6i | −0.643626 | − | 0.885875i | ||||
\(509\) | −1.14347e6 | − | 3.51924e6i | −0.195628 | − | 0.602081i | −0.999969 | − | 0.00791268i | \(-0.997481\pi\) |
0.804341 | − | 0.594168i | \(-0.202519\pi\) | |||||||
\(510\) | −3.66295e6 | + | 1.33175e6i | −0.623598 | + | 0.226724i | ||||
\(511\) | 791426. | − | 2.43576e6i | 0.134078 | − | 0.412650i | ||||
\(512\) | 7.80812e6 | − | 2.53701e6i | 1.31635 | − | 0.427708i | ||||
\(513\) | −1.63049e6 | + | 529779.i | −0.273543 | + | 0.0888794i | ||||
\(514\) | 4.09329e6 | − | 1.25978e7i | 0.683383 | − | 2.10324i | ||||
\(515\) | −123655. | − | 3.57694e6i | −0.0205443 | − | 0.594284i | ||||
\(516\) | 1.21858e6 | + | 3.75040e6i | 0.201479 | + | 0.620089i | ||||
\(517\) | 4.24993e6 | + | 5.84952e6i | 0.699286 | + | 0.962485i | ||||
\(518\) | − | 5.26993e6i | − | 0.862939i | ||||||
\(519\) | 197825. | − | 143728.i | 0.0322376 | − | 0.0234220i | ||||
\(520\) | −613879. | + | 21221.7i | −0.0995576 | + | 0.00344170i | ||||
\(521\) | −608903. | − | 442394.i | −0.0982775 | − | 0.0714027i | 0.537561 | − | 0.843225i | \(-0.319346\pi\) |
−0.635839 | + | 0.771822i | \(0.719346\pi\) | |||||||
\(522\) | 2.24821e6 | − | 3.09440e6i | 0.361128 | − | 0.497050i | ||||
\(523\) | 8.09200e6 | + | 2.62925e6i | 1.29361 | + | 0.420318i | 0.873352 | − | 0.487089i | \(-0.161941\pi\) |
0.420253 | + | 0.907407i | \(0.361941\pi\) | |||||||
\(524\) | −546490. | −0.0869469 | ||||||||
\(525\) | −2.12757e6 | + | 1.78270e6i | −0.336887 | + | 0.282280i | ||||
\(526\) | −4.97783e6 | −0.784470 | ||||||||
\(527\) | −999707. | − | 324825.i | −0.156800 | − | 0.0509474i | ||||
\(528\) | −3.41362e6 | + | 4.69845e6i | −0.532881 | + | 0.733448i | ||||
\(529\) | 8.88501e6 | + | 6.45534e6i | 1.38044 | + | 1.00295i | ||||
\(530\) | −104330. | + | 363361.i | −0.0161331 | + | 0.0561886i | ||||
\(531\) | −2.45226e6 | + | 1.78167e6i | −0.377425 | + | 0.274215i | ||||
\(532\) | − | 7.03800e6i | − | 1.07813i | ||||||
\(533\) | 6.80541e6 | + | 9.36684e6i | 1.03762 | + | 1.42815i | ||||
\(534\) | −2.09575e6 | − | 6.45004e6i | −0.318043 | − | 0.978835i | ||||
\(535\) | 1.04081e6 | + | 1.33314e6i | 0.157213 | + | 0.201368i | ||||
\(536\) | −244631. | + | 752895.i | −0.0367789 | + | 0.113194i | ||||
\(537\) | 4.82572e6 | − | 1.56797e6i | 0.722149 | − | 0.234640i | ||||
\(538\) | −3.41692e6 | + | 1.11022e6i | −0.508955 | + | 0.165369i | ||||
\(539\) | −1.31107e6 | + | 4.03507e6i | −0.194381 | + | 0.598245i | ||||
\(540\) | −1.18777e6 | − | 341039.i | −0.175287 | − | 0.0503292i | ||||
\(541\) | −1.68346e6 | − | 5.18117e6i | −0.247292 | − | 0.761087i | −0.995251 | − | 0.0973420i | \(-0.968966\pi\) |
0.747959 | − | 0.663745i | \(-0.231034\pi\) | |||||||
\(542\) | −2.47489e6 | − | 3.40640e6i | −0.361875 | − | 0.498078i | ||||
\(543\) | 612502.i | 0.0891472i | ||||||||
\(544\) | −6.40009e6 | + | 4.64994e6i | −0.927233 | + | 0.673674i | ||||
\(545\) | −993401. | − | 670564.i | −0.143263 | − | 0.0967050i | ||||
\(546\) | 4.71048e6 | + | 3.42236e6i | 0.676213 | + | 0.491298i | ||||
\(547\) | −3.27736e6 | + | 4.51090e6i | −0.468334 | + | 0.644607i | −0.976211 | − | 0.216823i | \(-0.930431\pi\) |
0.507877 | + | 0.861430i | \(0.330431\pi\) | |||||||
\(548\) | −6.33873e6 | − | 2.05958e6i | −0.901676 | − | 0.292972i | ||||
\(549\) | 559726. | 0.0792583 | ||||||||
\(550\) | −9.51252e6 | − | 1.13527e7i | −1.34088 | − | 1.60027i | ||||
\(551\) | 1.40667e7 | 1.97384 | ||||||||
\(552\) | 472736. | + | 153601.i | 0.0660345 | + | 0.0214559i | ||||
\(553\) | 5.39828e6 | − | 7.43010e6i | 0.750659 | − | 1.03319i | ||||
\(554\) | −1.22823e7 | − | 8.92360e6i | −1.70022 | − | 1.23528i | ||||
\(555\) | −1.16278e6 | − | 3.19820e6i | −0.160238 | − | 0.440730i | ||||
\(556\) | −5.50265e6 | + | 3.99791e6i | −0.754893 | + | 0.548462i | ||||
\(557\) | − | 3.74540e6i | − | 0.511518i | −0.966741 | − | 0.255759i | \(-0.917675\pi\) | ||
0.966741 | − | 0.255759i | \(-0.0823253\pi\) | |||||||
\(558\) | −402626. | − | 554168.i | −0.0547415 | − | 0.0753452i | ||||
\(559\) | −3.70754e6 | − | 1.14106e7i | −0.501829 | − | 1.54447i | ||||
\(560\) | −3.31767e6 | + | 4.91493e6i | −0.447057 | + | 0.662289i | ||||
\(561\) | 1.63845e6 | − | 5.04264e6i | 0.219800 | − | 0.676474i | ||||
\(562\) | 1.31770e7 | − | 4.28145e6i | 1.75985 | − | 0.571808i | ||||
\(563\) | 2.95235e6 | − | 959278.i | 0.392552 | − | 0.127548i | −0.106089 | − | 0.994357i | \(-0.533833\pi\) |
0.498641 | + | 0.866809i | \(0.333833\pi\) | |||||||
\(564\) | −1.01568e6 | + | 3.12594e6i | −0.134449 | + | 0.413792i | ||||
\(565\) | −5.51623e6 | + | 8.17196e6i | −0.726977 | + | 1.07697i | ||||
\(566\) | −1.63370e6 | − | 5.02800e6i | −0.214353 | − | 0.659711i | ||||
\(567\) | −380601. | − | 523852.i | −0.0497179 | − | 0.0684308i | ||||
\(568\) | − | 372872.i | − | 0.0484941i | ||||||
\(569\) | −9.71653e6 | + | 7.05947e6i | −1.25814 | + | 0.914096i | −0.998665 | − | 0.0516529i | \(-0.983551\pi\) |
−0.259480 | + | 0.965749i | \(0.583551\pi\) | |||||||
\(570\) | −3.19163e6 | − | 8.77850e6i | −0.411458 | − | 1.13170i | ||||
\(571\) | 9.06714e6 | + | 6.58766e6i | 1.16380 | + | 0.845553i | 0.990254 | − | 0.139272i | \(-0.0444761\pi\) |
0.173550 | + | 0.984825i | \(0.444476\pi\) | |||||||
\(572\) | −8.88532e6 | + | 1.22296e7i | −1.13549 | + | 1.56287i | ||||
\(573\) | 1.17769e6 | + | 382656.i | 0.149846 | + | 0.0486880i | ||||
\(574\) | 1.08639e7 | 1.37628 | ||||||||
\(575\) | −6.91920e6 | + | 1.10558e7i | −0.872743 | + | 1.39450i | ||||
\(576\) | −2.36924e6 | −0.297545 | ||||||||
\(577\) | −6.00994e6 | − | 1.95275e6i | −0.751502 | − | 0.244178i | −0.0918749 | − | 0.995771i | \(-0.529286\pi\) |
−0.659628 | + | 0.751593i | \(0.729286\pi\) | |||||||
\(578\) | −2.12033e6 | + | 2.91838e6i | −0.263988 | + | 0.363348i | ||||
\(579\) | −2.23009e6 | − | 1.62026e6i | −0.276456 | − | 0.200857i | ||||
\(580\) | 8.40402e6 | + | 5.67287e6i | 1.03733 | + | 0.700217i | ||||
\(581\) | −4.22538e6 | + | 3.06991e6i | −0.519308 | + | 0.377299i | ||||
\(582\) | 3.48622e6i | 0.426626i | ||||||||
\(583\) | −302288. | − | 416064.i | −0.0368341 | − | 0.0506978i | ||||
\(584\) | −106118. | − | 326598.i | −0.0128753 | − | 0.0396261i | ||||
\(585\) | 3.61381e6 | + | 1.03761e6i | 0.436591 | + | 0.125356i | ||||
\(586\) | 2.81841e6 | − | 8.67417e6i | 0.339047 | − | 1.04348i | ||||
\(587\) | −4.98903e6 | + | 1.62104e6i | −0.597615 | + | 0.194177i | −0.592176 | − | 0.805808i | \(-0.701731\pi\) |
−0.00543833 | + | 0.999985i | \(0.501731\pi\) | |||||||
\(588\) | −1.83426e6 | + | 595989.i | −0.218786 | + | 0.0710877i | ||||
\(589\) | 778464. | − | 2.39587e6i | 0.0924592 | − | 0.284560i | ||||
\(590\) | −1.01630e7 | − | 1.30175e7i | −1.20197 | − | 1.53956i | ||||
\(591\) | −778990. | − | 2.39749e6i | −0.0917410 | − | 0.282350i | ||||
\(592\) | −4.27321e6 | − | 5.88157e6i | −0.501130 | − | 0.689746i | ||||
\(593\) | 1.36939e7i | 1.59916i | 0.600560 | + | 0.799580i | \(0.294945\pi\) | ||||
−0.600560 | + | 0.799580i | \(0.705055\pi\) | |||||||
\(594\) | 2.79529e6 | − | 2.03090e6i | 0.325058 | − | 0.236168i | ||||
\(595\) | 1.49407e6 | − | 5.20354e6i | 0.173012 | − | 0.602569i | ||||
\(596\) | 5.28101e6 | + | 3.83688e6i | 0.608978 | + | 0.442448i | ||||
\(597\) | −1.86046e6 | + | 2.56070e6i | −0.213641 | + | 0.294051i | ||||
\(598\) | 2.60195e7 | + | 8.45426e6i | 2.97541 | + | 0.966768i | ||||
\(599\) | −5.28430e6 | −0.601756 | −0.300878 | − | 0.953663i | \(-0.597280\pi\) | ||||
−0.300878 | + | 0.953663i | \(0.597280\pi\) | |||||||
\(600\) | −90291.5 | + | 361061.i | −0.0102393 | + | 0.0409452i | ||||
\(601\) | −1.46172e7 | −1.65074 | −0.825369 | − | 0.564594i | \(-0.809033\pi\) | ||||
−0.825369 | + | 0.564594i | \(0.809033\pi\) | |||||||
\(602\) | −1.07068e7 | − | 3.47886e6i | −1.20412 | − | 0.391242i | ||||
\(603\) | 2.84821e6 | − | 3.92022e6i | 0.318991 | − | 0.439053i | ||||
\(604\) | −8.57692e6 | − | 6.23150e6i | −0.956619 | − | 0.695025i | ||||
\(605\) | 1.11393e7 | − | 385086.i | 1.23729 | − | 0.0427729i | ||||
\(606\) | 1.19171e6 | − | 865825.i | 0.131822 | − | 0.0957742i | ||||
\(607\) | 730831.i | 0.0805092i | 0.999189 | + | 0.0402546i | \(0.0128169\pi\) | ||||
−0.999189 | + | 0.0402546i | \(0.987183\pi\) | |||||||
\(608\) | −1.11439e7 | − | 1.53382e7i | −1.22258 | − | 1.68274i | ||||
\(609\) | 1.64177e6 | + | 5.05286e6i | 0.179378 | + | 0.552070i | ||||
\(610\) | 105361. | + | 3.04778e6i | 0.0114645 | + | 0.331633i | ||||
\(611\) | 3.09021e6 | − | 9.51068e6i | 0.334876 | − | 1.03064i | ||||
\(612\) | 2.29229e6 | − | 744810.i | 0.247395 | − | 0.0803835i | ||||
\(613\) | −1.01682e7 | + | 3.30385e6i | −1.09293 | + | 0.355115i | −0.799379 | − | 0.600827i | \(-0.794838\pi\) |
−0.293554 | + | 0.955943i | \(0.594838\pi\) | |||||||
\(614\) | 341400. | − | 1.05072e6i | 0.0365462 | − | 0.112478i | ||||
\(615\) | 6.59307e6 | − | 2.39706e6i | 0.702910 | − | 0.255559i | ||||
\(616\) | −242292. | − | 745697.i | −0.0257269 | − | 0.0791791i | ||||
\(617\) | 4.00857e6 | + | 5.51733e6i | 0.423913 | + | 0.583466i | 0.966543 | − | 0.256506i | \(-0.0825712\pi\) |
−0.542630 | + | 0.839972i | \(0.682571\pi\) | |||||||
\(618\) | 4.54900e6i | 0.479120i | ||||||||
\(619\) | −1.42870e7 | + | 1.03801e7i | −1.49870 | + | 1.08887i | −0.527808 | + | 0.849363i | \(0.676986\pi\) |
−0.970894 | + | 0.239508i | \(0.923014\pi\) | |||||||
\(620\) | 1.43130e6 | − | 1.11745e6i | 0.149538 | − | 0.116748i | ||||
\(621\) | −2.46147e6 | − | 1.78836e6i | −0.256133 | − | 0.186092i | ||||
\(622\) | 3.41134e6 | − | 4.69530e6i | 0.353548 | − | 0.486617i | ||||
\(623\) | 8.95931e6 | + | 2.91106e6i | 0.924814 | + | 0.300490i | ||||
\(624\) | 8.03228e6 | 0.825805 | ||||||||
\(625\) | −8.61610e6 | − | 4.59677e6i | −0.882289 | − | 0.470709i | ||||
\(626\) | 2.33638e6 | 0.238291 | ||||||||
\(627\) | 1.20850e7 | + | 3.92667e6i | 1.22766 | + | 0.398892i | ||||
\(628\) | 3.11004e6 | − | 4.28060e6i | 0.314678 | − | 0.433118i | ||||
\(629\) | 5.36968e6 | + | 3.90130e6i | 0.541156 | + | 0.393173i | ||||
\(630\) | 2.78080e6 | − | 2.17103e6i | 0.279137 | − | 0.217928i | ||||
\(631\) | −2.71378e6 | + | 1.97168e6i | −0.271333 | + | 0.197135i | −0.715128 | − | 0.698993i | \(-0.753632\pi\) |
0.443796 | + | 0.896128i | \(0.353632\pi\) | |||||||
\(632\) | − | 1.23145e6i | − | 0.122637i | ||||||
\(633\) | −5.09034e6 | − | 7.00625e6i | −0.504937 | − | 0.694987i | ||||
\(634\) | 5.41645e6 | + | 1.66701e7i | 0.535170 | + | 1.64708i | ||||
\(635\) | 1.10346e7 | − | 4.01189e6i | 1.08598 | − | 0.394835i | ||||
\(636\) | 72243.1 | − | 222341.i | 0.00708196 | − | 0.0217960i | ||||
\(637\) | 5.58076e6 | − | 1.81330e6i | 0.544935 | − | 0.177060i | ||||
\(638\) | −2.69622e7 | + | 8.76054e6i | −2.62243 | + | 0.852078i | ||||
\(639\) | −705288. | + | 2.17065e6i | −0.0683305 | + | 0.210300i | ||||
\(640\) | 52270.6 | + | 1.51203e6i | 0.00504438 | + | 0.145918i | ||||
\(641\) | −1.47841e6 | − | 4.55008e6i | −0.142118 | − | 0.437395i | 0.854511 | − | 0.519434i | \(-0.173857\pi\) |
−0.996629 | + | 0.0820383i | \(0.973857\pi\) | |||||||
\(642\) | −1.26354e6 | − | 1.73911e6i | −0.120990 | − | 0.166529i | ||||
\(643\) | − | 237872.i | − | 0.0226890i | −0.999936 | − | 0.0113445i | \(-0.996389\pi\) | ||
0.999936 | − | 0.0113445i | \(-0.00361115\pi\) | |||||||
\(644\) | 1.01049e7 | − | 7.34163e6i | 0.960101 | − | 0.697554i | ||||
\(645\) | −7.26531e6 | + | 251161.i | −0.687630 | + | 0.0237713i | ||||
\(646\) | 1.47389e7 | + | 1.07084e7i | 1.38958 | + | 1.00959i | ||||
\(647\) | 9.51653e6 | − | 1.30984e7i | 0.893754 | − | 1.23015i | −0.0786641 | − | 0.996901i | \(-0.525065\pi\) |
0.972418 | − | 0.233245i | \(-0.0749345\pi\) | |||||||
\(648\) | −82572.7 | − | 26829.5i | −0.00772501 | − | 0.00251001i | ||||
\(649\) | 2.24667e7 | 2.09376 | ||||||||
\(650\) | −4.96968e6 | + | 1.98729e7i | −0.461365 | + | 1.84492i | ||||
\(651\) | 951471. | 0.0879920 | ||||||||
\(652\) | 1.80277e6 | + | 585757.i | 0.166082 | + | 0.0539633i | ||||
\(653\) | 1.95193e6 | − | 2.68661e6i | 0.179136 | − | 0.246559i | −0.710001 | − | 0.704200i | \(-0.751306\pi\) |
0.889137 | + | 0.457641i | \(0.151306\pi\) | |||||||
\(654\) | 1.23241e6 | + | 895398.i | 0.112671 | + | 0.0818600i | ||||
\(655\) | 278031. | − | 968327.i | 0.0253215 | − | 0.0881899i | ||||
\(656\) | 1.21248e7 | − | 8.80921e6i | 1.10006 | − | 0.799240i | ||||
\(657\) | 2.10200e6i | 0.189985i | ||||||||
\(658\) | −5.51538e6 | − | 7.59127e6i | −0.496604 | − | 0.683517i | ||||
\(659\) | 3.47657e6 | + | 1.06998e7i | 0.311844 | + | 0.959758i | 0.977034 | + | 0.213084i | \(0.0683507\pi\) |
−0.665190 | + | 0.746674i | \(0.731649\pi\) | |||||||
\(660\) | 5.63654e6 | + | 7.21965e6i | 0.503677 | + | 0.645144i | ||||
\(661\) | −3.82049e6 | + | 1.17583e7i | −0.340107 | + | 1.04674i | 0.624045 | + | 0.781389i | \(0.285488\pi\) |
−0.964151 | + | 0.265353i | \(0.914512\pi\) | |||||||
\(662\) | −1.84495e7 | + | 5.99459e6i | −1.63621 | + | 0.531637i | ||||
\(663\) | −6.97430e6 | + | 2.26609e6i | −0.616193 | + | 0.200213i | ||||
\(664\) | −216406. | + | 666029.i | −0.0190480 | + | 0.0586236i | ||||
\(665\) | 1.24706e7 | + | 3.58063e6i | 1.09354 | + | 0.313982i | ||||
\(666\) | 1.33657e6 | + | 4.11353e6i | 0.116763 | + | 0.359359i | ||||
\(667\) | 1.46735e7 | + | 2.01964e7i | 1.27709 | + | 1.75776i | ||||
\(668\) | − | 218923.i | − | 0.0189823i | ||||||
\(669\) | 3.86676e6 | − | 2.80937e6i | 0.334028 | − | 0.242685i | ||||
\(670\) | 2.18822e7 | + | 1.47709e7i | 1.88323 | + | 1.27122i | ||||
\(671\) | −3.35631e6 | − | 2.43850e6i | −0.287777 | − | 0.209082i | ||||
\(672\) | 4.20897e6 | − | 5.79315e6i | 0.359545 | − | 0.494871i | ||||
\(673\) | −1.10290e7 | − | 3.58354e6i | −0.938638 | − | 0.304982i | −0.200548 | − | 0.979684i | \(-0.564272\pi\) |
−0.738090 | + | 0.674702i | \(0.764272\pi\) | |||||||
\(674\) | 1.13297e7 | 0.960658 | ||||||||
\(675\) | 1.20858e6 | − | 1.93111e6i | 0.102097 | − | 0.163135i | ||||
\(676\) | 9.64825e6 | 0.812048 | ||||||||
\(677\) | 6.53659e6 | + | 2.12387e6i | 0.548125 | + | 0.178097i | 0.569971 | − | 0.821665i | \(-0.306954\pi\) |
−0.0218460 | + | 0.999761i | \(0.506954\pi\) | |||||||
\(678\) | 7.36576e6 | − | 1.01381e7i | 0.615380 | − | 0.846998i | ||||
\(679\) | −3.91764e6 | − | 2.84633e6i | −0.326100 | − | 0.236925i | ||||
\(680\) | −248035. | − | 682215.i | −0.0205703 | − | 0.0565782i | ||||
\(681\) | 4.85973e6 | − | 3.53080e6i | 0.401555 | − | 0.291747i | ||||
\(682\) | 5.07707e6i | 0.417977i | ||||||||
\(683\) | 9.12105e6 | + | 1.25540e7i | 0.748157 | + | 1.02975i | 0.998108 | + | 0.0614917i | \(0.0195858\pi\) |
−0.249950 | + | 0.968259i | \(0.580414\pi\) | |||||||
\(684\) | 1.78499e6 | + | 5.49363e6i | 0.145880 | + | 0.448972i | ||||
\(685\) | 6.87424e6 | − | 1.01838e7i | 0.559755 | − | 0.829244i | ||||
\(686\) | 5.74797e6 | − | 1.76904e7i | 0.466341 | − | 1.43525i | ||||
\(687\) | −7.07598e6 | + | 2.29912e6i | −0.571998 | + | 0.185853i | ||||
\(688\) | −1.47704e7 | + | 4.79919e6i | −1.18965 | + | 0.386542i | ||||
\(689\) | −219800. | + | 676474.i | −0.0176392 | + | 0.0542879i | ||||
\(690\) | 9.27451e6 | − | 1.37396e7i | 0.741597 | − | 1.09863i | ||||
\(691\) | −5.57077e6 | − | 1.71451e7i | −0.443834 | − | 1.36598i | −0.883758 | − | 0.467945i | \(-0.844995\pi\) |
0.439924 | − | 0.898035i | \(-0.355005\pi\) | |||||||
\(692\) | −484265. | − | 666533.i | −0.0384430 | − | 0.0529123i | ||||
\(693\) | 4.79933e6i | 0.379619i | ||||||||
\(694\) | −2.54725e7 | + | 1.85069e7i | −2.00758 | + | 1.45859i | ||||
\(695\) | −4.28440e6 | − | 1.17841e7i | −0.336456 | − | 0.925413i | ||||
\(696\) | 576325. | + | 418725.i | 0.0450967 | + | 0.0327647i | ||||
\(697\) | −8.04252e6 | + | 1.10696e7i | −0.627062 | + | 0.863076i | ||||
\(698\) | 3.18406e7 | + | 1.03456e7i | 2.47368 | + | 0.803746i | ||||
\(699\) | 1.21898e7 | 0.943637 | ||||||||
\(700\) | 6.00647e6 | + | 7.16843e6i | 0.463312 | + | 0.552941i | ||||
\(701\) | −1.96020e7 | −1.50663 | −0.753315 | − | 0.657660i | \(-0.771546\pi\) | ||||
−0.753315 | + | 0.657660i | \(0.771546\pi\) | |||||||
\(702\) | −4.54483e6 | − | 1.47670e6i | −0.348077 | − | 0.113097i | ||||
\(703\) | −9.34974e6 | + | 1.28688e7i | −0.713528 | + | 0.982087i | ||||
\(704\) | 1.42068e7 | + | 1.03218e7i | 1.08035 | + | 0.784920i | ||||
\(705\) | −5.02212e6 | − | 3.39003e6i | −0.380552 | − | 0.256880i | ||||
\(706\) | −1.29133e7 | + | 9.38206e6i | −0.975047 | + | 0.708413i | ||||
\(707\) | 2.04608e6i | 0.153948i | ||||||||
\(708\) | 6.00300e6 | + | 8.26242e6i | 0.450075 | + | 0.619475i | ||||
\(709\) | 1.18777e6 | + | 3.65559e6i | 0.0887397 | + | 0.273113i | 0.985572 | − | 0.169259i | \(-0.0541373\pi\) |
−0.896832 | + | 0.442371i | \(0.854137\pi\) | |||||||
\(710\) | −1.19522e7 | − | 3.43178e6i | −0.889822 | − | 0.255490i | ||||
\(711\) | −2.32929e6 | + | 7.16881e6i | −0.172802 | + | 0.531830i | ||||
\(712\) | 1.20131e6 | − | 390328.i | 0.0888083 | − | 0.0288556i | ||||
\(713\) | 4.25194e6 | − | 1.38154e6i | 0.313230 | − | 0.101775i | ||||
\(714\) | −2.12632e6 | + | 6.54413e6i | −0.156093 | + | 0.480404i | ||||
\(715\) | −1.71492e7 | − | 2.19658e7i | −1.25452 | − | 1.60688i | ||||
\(716\) | −5.28298e6 | − | 1.62593e7i | −0.385120 | − | 1.18528i | ||||
\(717\) | −13989.0 | − | 19254.3i | −0.00101623 | − | 0.00139871i | ||||
\(718\) | − | 3.76786e7i | − | 2.72762i | ||||||
\(719\) | 1.55149e6 | − | 1.12722e6i | 0.111925 | − | 0.0813183i | −0.530415 | − | 0.847738i | \(-0.677964\pi\) |
0.642340 | + | 0.766420i | \(0.277964\pi\) | |||||||
\(720\) | 1.34313e6 | − | 4.67786e6i | 0.0965577 | − | 0.336292i | ||||
\(721\) | −5.11194e6 | − | 3.71404e6i | −0.366224 | − | 0.266078i | ||||
\(722\) | −1.41736e7 | + | 1.95083e7i | −1.01190 | + | 1.39276i | ||||
\(723\) | −701635. | − | 227975.i | −0.0499189 | − | 0.0162196i | ||||
\(724\) | 2.06371e6 | 0.146319 | ||||||||
\(725\) | −1.43274e7 | + | 1.20050e7i | −1.01233 | + | 0.848236i | ||||
\(726\) | −1.41665e7 | −0.997520 | ||||||||
\(727\) | −1.84925e7 | − | 6.00858e6i | −1.29766 | − | 0.421634i | −0.422892 | − | 0.906180i | \(-0.638985\pi\) |
−0.874766 | + | 0.484546i | \(0.838985\pi\) | |||||||
\(728\) | −637408. | + | 877316.i | −0.0445747 | + | 0.0613519i | ||||
\(729\) | 429945. | + | 312373.i | 0.0299636 | + | 0.0217698i | ||||
\(730\) | −1.14456e7 | + | 395674.i | −0.794936 | + | 0.0274809i | ||||
\(731\) | 1.14709e7 | − | 8.33412e6i | 0.793972 | − | 0.576854i | ||||
\(732\) | − | 1.88589e6i | − | 0.130088i | ||||||
\(733\) | −1.35558e7 | − | 1.86579e7i | −0.931890 | − | 1.28264i | −0.959118 | − | 0.283007i | \(-0.908668\pi\) |
0.0272278 | − | 0.999629i | \(-0.491332\pi\) | |||||||
\(734\) | −4.16166e6 | − | 1.28083e7i | −0.285119 | − | 0.877507i | ||||
\(735\) | −122839. | − | 3.55335e6i | −0.00838722 | − | 0.242616i | ||||
\(736\) | 1.03974e7 | − | 3.19999e7i | 0.707507 | − | 2.17748i | ||||
\(737\) | −3.41577e7 | + | 1.10985e7i | −2.31643 | + | 0.752655i | ||||
\(738\) | −8.48002e6 | + | 2.75533e6i | −0.573134 | + | 0.186222i | ||||
\(739\) | 3.47175e6 | − | 1.06849e7i | 0.233850 | − | 0.719716i | −0.763422 | − | 0.645900i | \(-0.776482\pi\) |
0.997272 | − | 0.0738158i | \(-0.0235177\pi\) | |||||||
\(740\) | −1.07757e7 | + | 3.91776e6i | −0.723380 | + | 0.263002i | ||||
\(741\) | −5.43083e6 | − | 1.67144e7i | −0.363346 | − | 1.11827i | ||||
\(742\) | 392297. | + | 539950.i | 0.0261580 | + | 0.0360035i | ||||
\(743\) | − | 1.82082e7i | − | 1.21002i | −0.796216 | − | 0.605012i | \(-0.793168\pi\) | ||
0.796216 | − | 0.605012i | \(-0.206832\pi\) | |||||||
\(744\) | 103212. | − | 74988.2i | 0.00683596 | − | 0.00496662i | ||||
\(745\) | −9.48532e6 | + | 7.40540e6i | −0.626126 | + | 0.488830i | ||||
\(746\) | 1.12407e7 | + | 8.16684e6i | 0.739513 | + | 0.537288i | ||||
\(747\) | 2.51959e6 | − | 3.46792e6i | 0.165207 | − | 0.227388i | ||||
\(748\) | −1.69902e7 | − | 5.52045e6i | −1.11031 | − | 0.360762i | ||||
\(749\) | 2.98594e6 | 0.194481 | ||||||||
\(750\) | 1.07426e7 | + | 6.21734e6i | 0.697361 | + | 0.403600i | ||||
\(751\) | 2.90578e7 | 1.88002 | 0.940011 | − | 0.341143i | \(-0.110814\pi\) | ||||
0.940011 | + | 0.341143i | \(0.110814\pi\) | |||||||
\(752\) | −1.23110e7 | − | 4.00010e6i | −0.793871 | − | 0.257944i | ||||
\(753\) | −672087. | + | 925048.i | −0.0431954 | + | 0.0594534i | ||||
\(754\) | 3.17211e7 | + | 2.30467e7i | 2.03198 | + | 1.47632i | ||||
\(755\) | 1.54052e7 | − | 1.20272e7i | 0.983557 | − | 0.767884i | ||||
\(756\) | −1.76502e6 | + | 1.28236e6i | −0.112317 | + | 0.0816030i | ||||
\(757\) | − | 2.65577e7i | − | 1.68442i | −0.539146 | − | 0.842212i | \(-0.681253\pi\) | ||
0.539146 | − | 0.842212i | \(-0.318747\pi\) | |||||||
\(758\) | −5.01404e6 | − | 6.90123e6i | −0.316967 | − | 0.436268i | ||||
\(759\) | 6.96865e6 | + | 2.14473e7i | 0.439081 | + | 1.35135i | ||||
\(760\) | 1.63497e6 | − | 594433.i | 0.102678 | − | 0.0373310i | ||||
\(761\) | 109427. | − | 336782.i | 0.00684957 | − | 0.0210808i | −0.947573 | − | 0.319538i | \(-0.896472\pi\) |
0.954423 | + | 0.298458i | \(0.0964722\pi\) | |||||||
\(762\) | −1.41928e7 | + | 4.61151e6i | −0.885481 | + | 0.287710i | ||||
\(763\) | −2.01241e6 | + | 653870.i | −0.125142 | + | 0.0406612i | ||||
\(764\) | 1.28928e6 | − | 3.96801e6i | 0.0799126 | − | 0.245946i | ||||
\(765\) | 153512. | + | 4.44064e6i | 0.00948396 | + | 0.274342i | ||||
\(766\) | 1.10595e7 | + | 3.40375e7i | 0.681023 | + | 2.09597i | ||||
\(767\) | −1.82641e7 | − | 2.51384e7i | −1.12101 | − | 1.54294i | ||||
\(768\) | − | 1.03469e7i | − | 0.633005i | ||||||
\(769\) | −5.65406e6 | + | 4.10791e6i | −0.344782 | + | 0.250499i | −0.746677 | − | 0.665187i | \(-0.768352\pi\) |
0.401895 | + | 0.915686i | \(0.368352\pi\) | |||||||
\(770\) | −2.61329e7 | + | 903413.i | −1.58841 | + | 0.0549110i | ||||
\(771\) | −1.22170e7 | − | 8.87614e6i | −0.740163 | − | 0.537760i | ||||
\(772\) | −5.45914e6 | + | 7.51386e6i | −0.329671 | + | 0.453753i | ||||
\(773\) | 1.33563e7 | + | 4.33971e6i | 0.803963 | + | 0.261223i | 0.682039 | − | 0.731316i | \(-0.261094\pi\) |
0.121924 | + | 0.992539i | \(0.461094\pi\) | |||||||
\(774\) | 9.23970e6 | 0.554377 | ||||||||
\(775\) | 1.25182e6 | + | 3.10463e6i | 0.0748667 | + | 0.185676i | ||||
\(776\) | −649301. | −0.0387072 | ||||||||
\(777\) | −5.71382e6 | − | 1.85653e6i | −0.339527 | − | 0.110319i | ||||
\(778\) | −5.85830e6 | + | 8.06326e6i | −0.346995 | + | 0.477597i | ||||
\(779\) | −2.65290e7 | − | 1.92744e7i | −1.56631 | − | 1.13799i | ||||
\(780\) | 3.49604e6 | − | 1.21760e7i | 0.205750 | − | 0.716587i | ||||
\(781\) | 1.36858e7 | − | 9.94334e6i | 0.802867 | − | 0.583317i | ||||
\(782\) | 3.23319e7i | 1.89066i | ||||||||
\(783\) | −2.56303e6 | − | 3.52771e6i | −0.149399 | − | 0.205631i | ||||
\(784\) | −2.34721e6 | − | 7.22397e6i | −0.136384 | − | 0.419745i | ||||
\(785\) | 6.00256e6 | + | 7.68847e6i | 0.347666 | + | 0.445314i | ||||
\(786\) | −395686. | + | 1.21780e6i | −0.0228452 | + | 0.0703102i | ||||
\(787\) | 9.26317e6 | − | 3.00979e6i | 0.533118 | − | 0.173220i | −0.0300726 | − | 0.999548i | \(-0.509574\pi\) |
0.563190 | + | 0.826327i | \(0.309574\pi\) | |||||||
\(788\) | −8.07787e6 | + | 2.62466e6i | −0.463427 | + | 0.150577i | ||||
\(789\) | −1.75363e6 | + | 5.39712e6i | −0.100287 | + | 0.308653i | ||||
\(790\) | −3.94735e7 | − | 1.13338e7i | −2.25029 | − | 0.646113i | ||||
\(791\) | 5.37890e6 | + | 1.65546e7i | 0.305670 | + | 0.940754i | ||||
\(792\) | 378250. | + | 520616.i | 0.0214272 | + | 0.0294920i | ||||
\(793\) | 5.73782e6i | 0.324014i | ||||||||
\(794\) | 1.40146e7 | − | 1.01822e7i | 0.788912 | − | 0.573178i | ||||
\(795\) | 357213. | + | 241125.i | 0.0200452 | + | 0.0135308i | ||||
\(796\) | 8.62779e6 | + | 6.26846e6i | 0.482633 | + | 0.350653i | ||||
\(797\) | 4.24234e6 | − | 5.83908e6i | 0.236570 | − | 0.325611i | −0.674181 | − | 0.738566i | \(-0.735503\pi\) |
0.910751 | + | 0.412955i | \(0.135503\pi\) | |||||||
\(798\) | −1.56834e7 | − | 5.09586e6i | −0.871835 | − | 0.283276i | ||||
\(799\) | 1.18180e7 | 0.654902 | ||||||||
\(800\) | 2.44406e7 | + | 6.11192e6i | 1.35016 | + | 0.337639i | ||||
\(801\) | −7.73164e6 | −0.425785 | ||||||||
\(802\) | 4.15601e7 | + | 1.35037e7i | 2.28160 | + | 0.741338i | ||||
\(803\) | 9.15756e6 | − | 1.26043e7i | 0.501177 | − | 0.689811i | ||||
\(804\) | −1.32084e7 | − | 9.59649e6i | −0.720628 | − | 0.523567i | ||||
\(805\) | 7.86772e6 | + | 2.16400e7i | 0.427917 | + | 1.17697i | ||||
\(806\) | 5.68085e6 | − | 4.12738e6i | 0.308017 | − | 0.223788i | ||||
\(807\) | 4.09585e6i | 0.221391i | ||||||||
\(808\) | 161258. | + | 221952.i | 0.00868946 | + | 0.0119600i | ||||
\(809\) | 7.24596e6 | + | 2.23008e7i | 0.389246 | + | 1.19798i | 0.933353 | + | 0.358961i | \(0.116869\pi\) |
−0.544106 | + | 0.839016i | \(0.683131\pi\) | |||||||
\(810\) | −1.61998e6 | + | 2.39990e6i | −0.0867554 | + | 0.128523i | ||||
\(811\) | 218415. | − | 672212.i | 0.0116608 | − | 0.0358884i | −0.945057 | − | 0.326906i | \(-0.893994\pi\) |
0.956718 | + | 0.291018i | \(0.0939939\pi\) | |||||||
\(812\) | 1.70246e7 | − | 5.53164e6i | 0.906125 | − | 0.294418i | ||||
\(813\) | −4.56520e6 | + | 1.48332e6i | −0.242233 | + | 0.0787063i | ||||
\(814\) | 9.90649e6 | − | 3.04890e7i | 0.524033 | − | 1.61281i | ||||
\(815\) | −1.95508e6 | + | 2.89633e6i | −0.103103 | + | 0.152741i | ||||
\(816\) | 2.93332e6 | + | 9.02783e6i | 0.154218 | + | 0.474633i | ||||
\(817\) | 1.99733e7 | + | 2.74909e7i | 1.04687 | + | 1.44090i | ||||
\(818\) | 7.87782e6i | 0.411645i | ||||||||
\(819\) | 5.37008e6 | − | 3.90159e6i | 0.279751 | − | 0.203251i | ||||
\(820\) | −8.07644e6 | − | 2.22141e7i | −0.419455 | − | 1.15370i | ||||
\(821\) | 2.07459e7 | + | 1.50728e7i | 1.07417 | + | 0.780432i | 0.976658 | − | 0.214802i | \(-0.0689106\pi\) |
0.0975151 | + | 0.995234i | \(0.468911\pi\) | |||||||
\(822\) | −9.17911e6 | + | 1.26340e7i | −0.473828 | + | 0.652169i | ||||
\(823\) | 7.78782e6 | + | 2.53042e6i | 0.400790 | + | 0.130224i | 0.502474 | − | 0.864592i | \(-0.332423\pi\) |
−0.101685 | + | 0.994817i | \(0.532423\pi\) | |||||||
\(824\) | −847241. | −0.0434699 | ||||||||
\(825\) | −1.56601e7 | + | 6.31434e6i | −0.801052 | + | 0.322993i | ||||
\(826\) | −2.91563e7 | −1.48690 | ||||||||
\(827\) | −2.61163e7 | − | 8.48569e6i | −1.32785 | − | 0.431443i | −0.442663 | − | 0.896688i | \(-0.645966\pi\) |
−0.885182 | + | 0.465245i | \(0.845966\pi\) | |||||||
\(828\) | −6.02554e6 | + | 8.29345e6i | −0.305436 | + | 0.420397i | ||||
\(829\) | −2.21236e7 | − | 1.60737e7i | −1.11807 | − | 0.812325i | −0.134154 | − | 0.990961i | \(-0.542832\pi\) |
−0.983915 | + | 0.178636i | \(0.942832\pi\) | |||||||
\(830\) | 1.93575e7 | + | 1.30667e7i | 0.975336 | + | 0.658370i | ||||
\(831\) | −1.40022e7 | + | 1.01732e7i | −0.703384 | + | 0.511038i | ||||
\(832\) | − | 2.42874e7i | − | 1.21639i | ||||||
\(833\) | 4.07609e6 | + | 5.61025e6i | 0.203531 | + | 0.280137i | ||||
\(834\) | 4.92474e6 | + | 1.51568e7i | 0.245170 | + | 0.754557i | ||||
\(835\) | 387910. | + | 111378.i | 0.0192537 | + | 0.00552822i | ||||
\(836\) | 1.32301e7 | − | 4.07182e7i | 0.654710 | − | 2.01499i | ||||
\(837\) | −742686. | + | 241313.i | −0.0366431 | + | 0.0119061i | ||||
\(838\) | 3.00634e7 | − | 9.76818e6i | 1.47886 | − | 0.480511i | ||||
\(839\) | 6.06134e6 | − | 1.86549e7i | 0.297279 | − | 0.914929i | −0.685168 | − | 0.728385i | \(-0.740271\pi\) |
0.982447 | − | 0.186544i | \(-0.0597287\pi\) | |||||||
\(840\) | 404349. | + | 517917.i | 0.0197723 | + | 0.0253257i | ||||
\(841\) | 4.71767e6 | + | 1.45195e7i | 0.230005 | + | 0.707883i | ||||
\(842\) | 6.66718e6 | + | 9.17659e6i | 0.324087 | + | 0.446068i | ||||
\(843\) | − | 1.57952e7i | − | 0.765518i | ||||||
\(844\) | −2.36062e7 | + | 1.71509e7i | −1.14070 | + | 0.828765i | ||||
\(845\) | −4.90861e6 | + | 1.70958e7i | −0.236492 | + | 0.823657i | ||||
\(846\) | 6.23043e6 | + | 4.52667e6i | 0.299290 | + | 0.217447i | ||||
\(847\) | 1.15663e7 | − | 1.59196e7i | 0.553969 | − | 0.762473i | ||||
\(848\) | 875657. | + | 284518.i | 0.0418162 | + | 0.0135869i | ||||
\(849\) | −6.02704e6 | −0.286969 | ||||||||
\(850\) | −2.41509e7 | + | 1.67179e6i | −1.14653 | + | 0.0793659i | ||||
\(851\) | −2.82297e7 | −1.33623 | ||||||||
\(852\) | 7.31360e6 | + | 2.37633e6i | 0.345169 | + | 0.112152i | ||||
\(853\) | 8.17011e6 | − | 1.12452e7i | 0.384464 | − | 0.529169i | −0.572296 | − | 0.820047i | \(-0.693947\pi\) |
0.956760 | + | 0.290878i | \(0.0939473\pi\) | |||||||
\(854\) | 4.35568e6 | + | 3.16459e6i | 0.204367 | + | 0.148482i | ||||
\(855\) | −1.06423e7 | + | 367903.i | −0.497875 | + | 0.0172115i | ||||
\(856\) | 323905. | − | 235331.i | 0.0151089 | − | 0.0109773i | ||||
\(857\) | 3.47918e6i | 0.161817i | 0.996722 | + | 0.0809085i | \(0.0257822\pi\) | ||||
−0.996722 | + | 0.0809085i | \(0.974218\pi\) | |||||||
\(858\) | 2.08190e7 | + | 2.86549e7i | 0.965475 | + | 1.32886i | ||||
\(859\) | 803944. | + | 2.47428e6i | 0.0371743 | + | 0.114411i | 0.967922 | − | 0.251252i | \(-0.0808423\pi\) |
−0.930747 | + | 0.365663i | \(0.880842\pi\) | |||||||
\(860\) | 846239. | + | 2.44791e7i | 0.0390164 | + | 1.12862i | ||||
\(861\) | 3.82723e6 | − | 1.17790e7i | 0.175945 | − | 0.541503i | ||||
\(862\) | 3.78675e7 | − | 1.23039e7i | 1.73579 | − | 0.563994i | ||||
\(863\) | 2.06057e7 | − | 6.69520e6i | 0.941805 | − | 0.306011i | 0.202423 | − | 0.979298i | \(-0.435118\pi\) |
0.739381 | + | 0.673287i | \(0.235118\pi\) | |||||||
\(864\) | −1.81612e6 | + | 5.58943e6i | −0.0827674 | + | 0.254732i | ||||
\(865\) | 1.42740e6 | − | 518966.i | 0.0648645 | − | 0.0235830i | ||||
\(866\) | −6.90581e6 | − | 2.12539e7i | −0.312910 | − | 0.963039i | ||||
\(867\) | 2.41723e6 | + | 3.32704e6i | 0.109212 | + | 0.150318i | ||||
\(868\) | − | 3.20580e6i | − | 0.144423i | ||||||
\(869\) | 4.51989e7 | − | 3.28389e7i | 2.03038 | − | 1.47516i | ||||
\(870\) | 1.87263e7 | − | 1.46200e7i | 0.838792 | − | 0.654863i | ||||
\(871\) | 4.01867e7 | + | 2.91974e7i | 1.79489 | + | 1.30406i | ||||
\(872\) | −166766. | + | 229533.i | −0.00742704 | + | 0.0102224i | ||||
\(873\) | 3.77987e6 | + | 1.22815e6i | 0.167858 | + | 0.0545403i | ||||
\(874\) | −7.74856e7 | −3.43117 | ||||||||
\(875\) | −1.57576e7 | + | 6.99588e6i | −0.695776 | + | 0.308903i | ||||
\(876\) | 7.08227e6 | 0.311826 | ||||||||
\(877\) | 9.99255e6 | + | 3.24678e6i | 0.438710 | + | 0.142545i | 0.520040 | − | 0.854142i | \(-0.325917\pi\) |
−0.0813305 | + | 0.996687i | \(0.525917\pi\) | |||||||
\(878\) | −1.30830e7 | + | 1.80072e7i | −0.572757 | + | 0.788332i | ||||
\(879\) | −8.41191e6 | − | 6.11161e6i | −0.367217 | − | 0.266799i | ||||
\(880\) | −2.84335e7 | + | 2.21986e7i | −1.23772 | + | 0.966317i | ||||
\(881\) | 1.98575e7 | − | 1.44273e7i | 0.861957 | − | 0.626248i | −0.0664596 | − | 0.997789i | \(-0.521170\pi\) |
0.928417 | + | 0.371541i | \(0.121170\pi\) | |||||||
\(882\) | 4.51900e6i | 0.195601i | ||||||||
\(883\) | −1.35294e7 | − | 1.86216e7i | −0.583951 | − | 0.803740i | 0.410170 | − | 0.912009i | \(-0.365469\pi\) |
−0.994122 | + | 0.108269i | \(0.965469\pi\) | |||||||
\(884\) | 7.63514e6 | + | 2.34986e7i | 0.328614 | + | 1.01137i | ||||
\(885\) | −1.76943e7 | + | 6.43316e6i | −0.759407 | + | 0.276100i | ||||
\(886\) | −6.96362e6 | + | 2.14318e7i | −0.298024 | + | 0.917222i | ||||
\(887\) | 5.12240e6 | − | 1.66437e6i | 0.218607 | − | 0.0710298i | −0.197666 | − | 0.980269i | \(-0.563336\pi\) |
0.416273 | + | 0.909240i | \(0.363336\pi\) | |||||||
\(888\) | −766135. | + | 248932.i | −0.0326042 | + | 0.0105937i | ||||
\(889\) | 6.40553e6 | − | 1.97142e7i | 0.271832 | − | 0.836613i | ||||
\(890\) | −1.45538e6 | − | 4.20997e7i | −0.0615889 | − | 1.78158i | ||||
\(891\) | −1.21721e6 | − | 3.74620e6i | −0.0513656 | − | 0.158087i | ||||
\(892\) | −9.46563e6 | − | 1.30283e7i | −0.398325 | − | 0.548247i | ||||
\(893\) | 2.83226e7i | 1.18851i | ||||||||
\(894\) | 1.23738e7 | − | 8.99009e6i | 0.517797 | − | 0.376201i | ||||
\(895\) | 3.14977e7 | − | 1.08887e6i | 1.31438 | − | 0.0454380i | ||||
\(896\) | 2.16089e6 | + | 1.56998e6i | 0.0899214 | + | 0.0653317i | ||||
\(897\) | 1.83327e7 | − | 2.52329e7i | 0.760758 | − | 1.04709i | ||||
\(898\) | 2.22211e7 | + | 7.22006e6i | 0.919547 | + | 0.298779i | ||||
\(899\) | 6.40735e6 | 0.264411 | ||||||||
\(900\) | −6.50651e6 | − | 4.07207e6i | −0.267758 | − | 0.167575i | ||||
\(901\) | −840588. | −0.0344962 | ||||||||
\(902\) | 6.28531e7 | + | 2.04222e7i | 2.57223 | + | 0.835769i | ||||
\(903\) | −7.54377e6 | + | 1.03831e7i | −0.307871 | + | 0.423748i | ||||
\(904\) | 1.88820e6 | + | 1.37186e6i | 0.0768470 | + | 0.0558326i | ||||
\(905\) | −1.04992e6 | + | 3.65669e6i | −0.0426125 | + | 0.148411i | ||||
\(906\) | −2.00964e7 | + | 1.46009e7i | −0.813387 | + | 0.590960i | ||||
\(907\) | 3.80471e7i | 1.53569i | 0.640637 | + | 0.767844i | \(0.278670\pi\) | ||||
−0.640637 | + | 0.767844i | \(0.721330\pi\) | |||||||
\(908\) | −1.18964e7 | − | 1.63739e7i | −0.478850 | − | 0.659081i | ||||
\(909\) | −518931. | − | 1.59710e6i | −0.0208305 | − | 0.0641097i | ||||
\(910\) | 2.22555e7 | + | 2.85063e7i | 0.890910 | + | 1.14114i | ||||
\(911\) | −1.08173e7 | + | 3.32924e7i | −0.431842 | + | 1.32907i | 0.464446 | + | 0.885601i | \(0.346253\pi\) |
−0.896288 | + | 0.443472i | \(0.853747\pi\) | |||||||
\(912\) | −2.16358e7 | + | 7.02990e6i | −0.861362 | + | 0.279874i | ||||
\(913\) | −3.02167e7 | + | 9.81800e6i | −1.19969 | + | 0.389804i | ||||
\(914\) | −8.78823e6 | + | 2.70474e7i | −0.347965 | + | 1.07093i | ||||
\(915\) | 3.34161e6 | + | 959459.i | 0.131948 | + | 0.0378856i | ||||
\(916\) | 7.74646e6 | + | 2.38411e7i | 0.305045 | + | 0.938833i | ||||
\(917\) | −1.04544e6 | − | 1.43892e6i | −0.0410559 | − | 0.0565086i | ||||
\(918\) | − | 5.64741e6i | − | 0.221178i | ||||||
\(919\) | −1.51147e7 | + | 1.09815e7i | −0.590351 | + | 0.428915i | −0.842441 | − | 0.538789i | \(-0.818882\pi\) |
0.252090 | + | 0.967704i | \(0.418882\pi\) | |||||||
\(920\) | 2.55898e6 | + | 1.72736e6i | 0.0996774 | + | 0.0672841i | ||||
\(921\) | −1.01895e6 | − | 740313.i | −0.0395827 | − | 0.0287585i | ||||
\(922\) | −2.28063e7 | + | 3.13902e7i | −0.883542 | + | 1.21609i | ||||
\(923\) | −2.22517e7 | − | 7.23000e6i | −0.859722 | − | 0.279341i | ||||
\(924\) | 1.61704e7 | 0.623077 | ||||||||
\(925\) | −1.45967e6 | − | 2.10867e7i | −0.0560920 | − | 0.810315i | ||||
\(926\) | 1.13231e7 | 0.433949 | ||||||||
\(927\) | 4.93217e6 | + | 1.60256e6i | 0.188512 | + | 0.0612512i | ||||
\(928\) | 2.83439e7 | − | 3.90120e7i | 1.08041 | − | 1.48706i | ||||
\(929\) | −2.64374e7 | − | 1.92079e7i | −1.00503 | − | 0.730198i | −0.0418705 | − | 0.999123i | \(-0.513332\pi\) |
−0.963161 | + | 0.268925i | \(0.913332\pi\) | |||||||
\(930\) | −1.45378e6 | − | 3.99859e6i | −0.0551178 | − | 0.151600i | ||||
\(931\) | −1.34454e7 | + | 9.76862e6i | −0.508391 | + | 0.369368i | ||||
\(932\) | − | 4.10713e7i | − | 1.54881i | ||||||
\(933\) | −3.88902e6 | − | 5.35278e6i | −0.146264 | − | 0.201314i | ||||
\(934\) | −1.20351e7 | − | 3.70402e7i | −0.451422 | − | 1.38933i | ||||
\(935\) | 1.84256e7 | − | 2.72964e7i | 0.689275 | − | 1.02112i | ||||
\(936\) | 275033. | − | 846464.i | 0.0102611 | − | 0.0315805i | ||||
\(937\) | −2.14896e7 | + | 6.98240e6i | −0.799613 | + | 0.259810i | −0.680192 | − | 0.733034i | \(-0.738104\pi\) |
−0.119420 | + | 0.992844i | \(0.538104\pi\) | |||||||
\(938\) | 4.43284e7 | − | 1.44032e7i | 1.64504 | − | 0.534505i | ||||
\(939\) | 823080. | − | 2.53318e6i | 0.0304634 | − | 0.0937566i | ||||
\(940\) | −1.14220e7 | + | 1.69211e7i | −0.421623 | + | 0.624609i | ||||
\(941\) | 8.11806e6 | + | 2.49848e7i | 0.298867 | + | 0.919818i | 0.981895 | + | 0.189426i | \(0.0606627\pi\) |
−0.683028 | + | 0.730392i | \(0.739337\pi\) | |||||||
\(942\) | −7.28706e6 | − | 1.00298e7i | −0.267562 | − | 0.368268i | ||||
\(943\) | − | 5.81953e7i | − | 2.13112i | ||||||
\(944\) | −3.25403e7 | + | 2.36419e7i | −1.18848 | + | 0.863480i | ||||
\(945\) | −1.37425e6 | − | 3.77985e6i | −0.0500596 | − | 0.137688i | ||||
\(946\) | −5.54045e7 | − | 4.02537e7i | −2.01288 | − | 1.46244i | ||||
\(947\) | 1.64951e7 | − | 2.27035e7i | 0.597695 | − | 0.822657i | −0.397800 | − | 0.917472i | \(-0.630226\pi\) |
0.995495 | + | 0.0948155i | \(0.0302261\pi\) | |||||||
\(948\) | 2.41539e7 | + | 7.84809e6i | 0.872905 | + | 0.283624i | ||||
\(949\) | −2.15478e7 | −0.776673 | ||||||||
\(950\) | −4.00655e6 | − | 5.78793e7i | −0.144033 | − | 2.08072i | ||||
\(951\) | 1.99824e7 | 0.716468 | ||||||||
\(952\) | −1.21883e6 | − | 396022.i | −0.0435863 | − | 0.0141621i | ||||
\(953\) | −1.24463e7 | + | 1.71309e7i | −0.443924 | + | 0.611009i | −0.971079 | − | 0.238760i | \(-0.923259\pi\) |
0.527154 | + | 0.849770i | \(0.323259\pi\) | |||||||
\(954\) | −443157. | − | 321972.i | −0.0157647 | − | 0.0114538i | ||||
\(955\) | 6.37499e6 | + | 4.30324e6i | 0.226189 | + | 0.152682i | ||||
\(956\) | −64873.6 | + | 47133.4i | −0.00229574 | + | 0.00166795i | ||||
\(957\) | 3.23195e7i | 1.14073i | ||||||||
\(958\) | 3.69557e7 | + | 5.08652e7i | 1.30097 | + | 1.79063i | ||||
\(959\) | −6.70311e6 | − | 2.06300e7i | −0.235358 | − | 0.724359i | ||||
\(960\) | −1.41446e7 | − | 4.06125e6i | −0.495349 | − | 0.142227i | ||||
\(961\) | −8.49230e6 | + | 2.61366e7i | −0.296631 | + | 0.912938i | ||||
\(962\) | −4.21683e7 | + | 1.37013e7i | −1.46909 | + | 0.477337i | ||||
\(963\) | −2.33073e6 | + | 757299.i | −0.0809889 | + | 0.0263149i | ||||
\(964\) | −768118. | + | 2.36402e6i | −0.0266217 | + | 0.0819331i | ||||
\(965\) | −1.05365e7 | − | 1.34958e7i | −0.364230 | − | 0.466531i | ||||
\(966\) | −9.04362e6 | − | 2.78334e7i | −0.311817 | − | 0.959674i | ||||
\(967\) | 1.23908e7 | + | 1.70545e7i | 0.426123 | + | 0.586508i | 0.967058 | − | 0.254557i | \(-0.0819295\pi\) |
−0.540935 | + | 0.841064i | \(0.681930\pi\) | |||||||
\(968\) | − | 2.63848e6i | − | 0.0905036i | ||||||
\(969\) | 1.68027e7 | − | 1.22079e7i | 0.574871 | − | 0.417668i | ||||
\(970\) | −5.97594e6 | + | 2.08130e7i | −0.203928 | + | 0.710242i | ||||
\(971\) | −1.88038e7 | − | 1.36618e7i | −0.640026 | − | 0.465006i | 0.219833 | − | 0.975537i | \(-0.429449\pi\) |
−0.859859 | + | 0.510531i | \(0.829449\pi\) | |||||||
\(972\) | 1.05248e6 | − | 1.44862e6i | 0.0357313 | − | 0.0491799i | ||||
\(973\) | −2.10532e7 | − | 6.84061e6i | −0.712914 | − | 0.231640i | ||||
\(974\) | 1.30469e7 | 0.440668 | ||||||||
\(975\) | 1.97961e7 | + | 1.23893e7i | 0.666911 | + | 0.417383i | ||||
\(976\) | 7.42728e6 | 0.249578 | ||||||||
\(977\) | 4.31446e7 | + | 1.40185e7i | 1.44607 | + | 0.469857i | 0.923784 | − | 0.382913i | \(-0.125079\pi\) |
0.522286 | + | 0.852770i | \(0.325079\pi\) | |||||||
\(978\) | 2.61060e6 | − | 3.59318e6i | 0.0872756 | − | 0.120125i | ||||
\(979\) | 4.63617e7 | + | 3.36837e7i | 1.54597 | + | 1.12322i | ||||
\(980\) | −1.19723e7 | + | 413882.i | −0.398211 | + | 0.0137661i | ||||
\(981\) | 1.40498e6 | − | 1.02078e6i | 0.0466120 | − | 0.0338656i | ||||
\(982\) | − | 4.42566e7i | − | 1.46453i | ||||||
\(983\) | −3.99787e6 | − | 5.50260e6i | −0.131961 | − | 0.181629i | 0.737923 | − | 0.674885i | \(-0.235807\pi\) |
−0.869884 | + | 0.493256i | \(0.835807\pi\) | |||||||
\(984\) | −513173. | − | 1.57938e6i | −0.0168957 | − | 0.0519996i | ||||
\(985\) | −540967. | − | 1.56485e7i | −0.0177656 | − | 0.513904i | ||||
\(986\) | −1.43190e7 | + | 4.40692e7i | −0.469050 | + | 1.44359i | ||||
\(987\) | −1.01737e7 | + | 3.30563e6i | −0.332419 | + | 0.108009i | ||||
\(988\) | −5.63159e7 | + | 1.82981e7i | −1.83543 | + | 0.596368i | ||||
\(989\) | −1.86354e7 | + | 5.73537e7i | −0.605825 | + | 1.86454i | ||||
\(990\) | 2.01694e7 | − | 7.33305e6i | 0.654040 | − | 0.237792i | ||||
\(991\) | 2.65254e6 | + | 8.16366e6i | 0.0857980 | + | 0.264059i | 0.984746 | − | 0.173995i | \(-0.0556678\pi\) |
−0.898949 | + | 0.438054i | \(0.855668\pi\) | |||||||
\(992\) | −5.07603e6 | − | 6.98655e6i | −0.163774 | − | 0.225415i | ||||
\(993\) | 2.21153e7i | 0.711738i | ||||||||
\(994\) | −1.77609e7 | + | 1.29041e7i | −0.570163 | + | 0.414248i | ||||
\(995\) | −1.54965e7 | + | 1.20985e7i | −0.496223 | + | 0.387412i | ||||
\(996\) | −1.16845e7 | − | 8.48928e6i | −0.373217 | − | 0.271158i | ||||
\(997\) | 1.51817e7 | − | 2.08958e7i | 0.483707 | − | 0.665765i | −0.495505 | − | 0.868605i | \(-0.665017\pi\) |
0.979212 | + | 0.202840i | \(0.0650171\pi\) | |||||||
\(998\) | 4.05516e7 | + | 1.31760e7i | 1.28879 | + | 0.418753i | ||||
\(999\) | 4.93087e6 | 0.156318 |
(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 | 75.6.i.a.4.5 | ✓ | 96 | |
25.19 | even | 10 | inner | 75.6.i.a.19.5 | yes | 96 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
75.6.i.a.4.5 | ✓ | 96 | 1.1 | even | 1 | trivial | |
75.6.i.a.19.5 | yes | 96 | 25.19 | even | 10 | inner |