Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [29,9,Mod(2,29)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(29, base_ring=CyclotomicField(28))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 9, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("29.2");
S:= CuspForms(chi, 9);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 29 \) |
Weight: | \( k \) | \(=\) | \( 9 \) |
Character orbit: | \([\chi]\) | \(=\) | 29.f (of order \(28\), degree \(12\), 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: | \(11.8139796918\) |
Analytic rank: | \(0\) |
Dimension: | \(228\) |
Relative dimension: | \(19\) over \(\Q(\zeta_{28})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{28}]$ |
Embedding invariants
Embedding label | 2.16 | ||
Character | \(\chi\) | \(=\) | 29.2 |
Dual form | 29.9.f.a.15.16 |
$q$-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 \(\left(\mathbb{Z}/29\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{28}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 19.6004 | + | 2.20843i | 1.22502 | + | 0.138027i | 0.700677 | − | 0.713479i | \(-0.252881\pi\) |
0.524346 | + | 0.851506i | \(0.324310\pi\) | |||||||
\(3\) | −83.4552 | − | 52.4384i | −1.03031 | − | 0.647387i | −0.0929226 | − | 0.995673i | \(-0.529621\pi\) |
−0.937388 | + | 0.348286i | \(0.886764\pi\) | |||||||
\(4\) | 129.715 | + | 29.6067i | 0.506701 | + | 0.115651i | ||||
\(5\) | 14.4052 | − | 11.4877i | 0.0230483 | − | 0.0183804i | −0.611898 | − | 0.790937i | \(-0.709594\pi\) |
0.634946 | + | 0.772556i | \(0.281022\pi\) | |||||||
\(6\) | −1519.95 | − | 1212.12i | −1.17280 | − | 0.935275i | ||||
\(7\) | 772.012 | + | 3382.40i | 0.321538 | + | 1.40875i | 0.834817 | + | 0.550527i | \(0.185573\pi\) |
−0.513280 | + | 0.858221i | \(0.671570\pi\) | |||||||
\(8\) | −2289.00 | − | 800.955i | −0.558838 | − | 0.195546i | ||||
\(9\) | 1368.27 | + | 2841.25i | 0.208546 | + | 0.433051i | ||||
\(10\) | 307.716 | − | 193.351i | 0.0307716 | − | 0.0193351i | ||||
\(11\) | −19598.3 | + | 6857.75i | −1.33859 | + | 0.468394i | −0.902183 | − | 0.431354i | \(-0.858036\pi\) |
−0.436410 | + | 0.899748i | \(0.643750\pi\) | |||||||
\(12\) | −9272.90 | − | 9272.90i | −0.447188 | − | 0.447188i | ||||
\(13\) | −21261.3 | + | 44149.6i | −0.744418 | + | 1.54580i | 0.0907927 | + | 0.995870i | \(0.471060\pi\) |
−0.835211 | + | 0.549930i | \(0.814654\pi\) | |||||||
\(14\) | 7661.90 | + | 68001.3i | 0.199446 | + | 1.77013i | ||||
\(15\) | −1804.58 | + | 203.328i | −0.0356461 | + | 0.00401635i | ||||
\(16\) | −73784.4 | − | 35532.7i | −1.12586 | − | 0.542186i | ||||
\(17\) | 58343.9 | − | 58343.9i | 0.698554 | − | 0.698554i | −0.265544 | − | 0.964099i | \(-0.585552\pi\) |
0.964099 | + | 0.265544i | \(0.0855517\pi\) | |||||||
\(18\) | 20544.0 | + | 58711.2i | 0.195701 | + | 0.559283i | ||||
\(19\) | −14594.5 | − | 23227.1i | −0.111989 | − | 0.178230i | 0.786027 | − | 0.618192i | \(-0.212135\pi\) |
−0.898016 | + | 0.439962i | \(0.854992\pi\) | |||||||
\(20\) | 2208.69 | − | 1063.65i | 0.0138043 | − | 0.00664780i | ||||
\(21\) | 112939. | − | 322762.i | 0.580722 | − | 1.65961i | ||||
\(22\) | −399279. | + | 91132.9i | −1.70446 | + | 0.389031i | ||||
\(23\) | 228462. | − | 286483.i | 0.816401 | − | 1.02373i | −0.182776 | − | 0.983155i | \(-0.558508\pi\) |
0.999176 | − | 0.0405794i | \(-0.0129204\pi\) | |||||||
\(24\) | 149028. | + | 186875.i | 0.449183 | + | 0.563257i | ||||
\(25\) | −86846.7 | + | 380500.i | −0.222328 | + | 0.974081i | ||||
\(26\) | −514231. | + | 818394.i | −1.12529 | + | 1.79089i | ||||
\(27\) | −37602.9 | + | 333735.i | −0.0707565 | + | 0.627981i | ||||
\(28\) | 461607.i | 0.751000i | ||||||||
\(29\) | −59396.6 | − | 704783.i | −0.0839788 | − | 0.996468i | ||||
\(30\) | −35819.5 | −0.0442217 | ||||||||
\(31\) | −1.06683e6 | − | 120203.i | −1.15518 | − | 0.130158i | −0.486482 | − | 0.873691i | \(-0.661720\pi\) |
−0.668699 | + | 0.743533i | \(0.733149\pi\) | |||||||
\(32\) | −842064. | − | 529104.i | −0.803055 | − | 0.504593i | ||||
\(33\) | 1.99519e6 | + | 455390.i | 1.68240 | + | 0.383997i | ||||
\(34\) | 1.27241e6 | − | 1.01471e6i | 0.952164 | − | 0.759325i | ||||
\(35\) | 49977.1 | + | 39855.4i | 0.0333042 | + | 0.0265592i | ||||
\(36\) | 93366.2 | + | 409064.i | 0.0555878 | + | 0.243546i | ||||
\(37\) | −652675. | − | 228381.i | −0.348249 | − | 0.121858i | 0.150486 | − | 0.988612i | \(-0.451916\pi\) |
−0.498735 | + | 0.866755i | \(0.666202\pi\) | |||||||
\(38\) | −234763. | − | 487490.i | −0.112589 | − | 0.233793i | ||||
\(39\) | 4.08950e6 | − | 2.56960e6i | 1.76771 | − | 1.11073i | ||||
\(40\) | −42174.6 | + | 14757.5i | −0.0164744 | + | 0.00576466i | ||||
\(41\) | 826924. | + | 826924.i | 0.292638 | + | 0.292638i | 0.838121 | − | 0.545484i | \(-0.183654\pi\) |
−0.545484 | + | 0.838121i | \(0.683654\pi\) | |||||||
\(42\) | 2.92645e6 | − | 6.07684e6i | 0.940468 | − | 1.95290i | ||||
\(43\) | 88820.7 | + | 788306.i | 0.0259801 | + | 0.230580i | 0.999992 | + | 0.00408141i | \(0.00129916\pi\) |
−0.974012 | + | 0.226498i | \(0.927272\pi\) | |||||||
\(44\) | −2.74524e6 | + | 309315.i | −0.732437 | + | 0.0825258i | ||||
\(45\) | 52349.7 | + | 25210.3i | 0.0127663 | + | 0.00614792i | ||||
\(46\) | 5.11062e6 | − | 5.11062e6i | 1.14141 | − | 1.14141i | ||||
\(47\) | −1.58392e6 | − | 4.52658e6i | −0.324595 | − | 0.927639i | −0.984360 | − | 0.176167i | \(-0.943630\pi\) |
0.659765 | − | 0.751472i | \(-0.270656\pi\) | |||||||
\(48\) | 4.29441e6 | + | 6.83452e6i | 0.808982 | + | 1.28749i | ||||
\(49\) | −5.65075e6 | + | 2.72126e6i | −0.980216 | + | 0.472047i | ||||
\(50\) | −2.54254e6 | + | 7.26615e6i | −0.406806 | + | 1.16258i | ||||
\(51\) | −7.92856e6 | + | 1.80964e6i | −1.17196 | + | 0.267493i | ||||
\(52\) | −4.06505e6 | + | 5.09741e6i | −0.555971 | + | 0.697166i | ||||
\(53\) | 6.31622e6 | + | 7.92028e6i | 0.800485 | + | 1.00378i | 0.999716 | + | 0.0238244i | \(0.00758426\pi\) |
−0.199231 | + | 0.979953i | \(0.563844\pi\) | |||||||
\(54\) | −1.47406e6 | + | 6.45828e6i | −0.173357 | + | 0.759525i | ||||
\(55\) | −203537. | + | 323928.i | −0.0222430 | + | 0.0353995i | ||||
\(56\) | 942021. | − | 8.36067e6i | 0.0957874 | − | 0.850137i | ||||
\(57\) | 2.70373e6i | 0.256132i | ||||||||
\(58\) | 392269. | − | 1.39452e7i | 0.0346634 | − | 1.23229i | ||||
\(59\) | −1.26885e7 | −1.04713 | −0.523566 | − | 0.851985i | \(-0.675399\pi\) | ||||
−0.523566 | + | 0.851985i | \(0.675399\pi\) | |||||||
\(60\) | −240102. | − | 27053.0i | −0.0185264 | − | 0.00208743i | ||||
\(61\) | −5.41484e6 | − | 3.40237e6i | −0.391080 | − | 0.245732i | 0.322110 | − | 0.946702i | \(-0.395608\pi\) |
−0.713191 | + | 0.700970i | \(0.752751\pi\) | |||||||
\(62\) | −2.06449e7 | − | 4.71206e6i | −1.39716 | − | 0.318892i | ||||
\(63\) | −8.55393e6 | + | 6.82153e6i | −0.543005 | + | 0.433032i | ||||
\(64\) | 1.05482e6 | + | 841189.i | 0.0628721 | + | 0.0501388i | ||||
\(65\) | 200906. | + | 880227.i | 0.0112548 | + | 0.0493107i | ||||
\(66\) | 3.81008e7 | + | 1.33320e7i | 2.00797 | + | 0.702621i | ||||
\(67\) | 8.93817e6 | + | 1.85603e7i | 0.443557 | + | 0.921055i | 0.996155 | + | 0.0876073i | \(0.0279221\pi\) |
−0.552598 | + | 0.833448i | \(0.686364\pi\) | |||||||
\(68\) | 9.29548e6 | − | 5.84074e6i | 0.434747 | − | 0.273169i | ||||
\(69\) | −3.40891e7 | + | 1.19283e7i | −1.50390 | + | 0.526237i | ||||
\(70\) | 891552. | + | 891552.i | 0.0371325 | + | 0.0371325i | ||||
\(71\) | −7.98729e6 | + | 1.65858e7i | −0.314316 | + | 0.652683i | −0.996947 | − | 0.0780795i | \(-0.975121\pi\) |
0.682631 | + | 0.730763i | \(0.260835\pi\) | |||||||
\(72\) | −856263. | − | 7.59954e6i | −0.0318623 | − | 0.282786i | ||||
\(73\) | 1.56965e7 | − | 1.76857e6i | 0.552729 | − | 0.0622776i | 0.168817 | − | 0.985647i | \(-0.446005\pi\) |
0.383912 | + | 0.923370i | \(0.374577\pi\) | |||||||
\(74\) | −1.22883e7 | − | 5.91774e6i | −0.409793 | − | 0.197346i | ||||
\(75\) | 2.72006e7 | − | 2.72006e7i | 0.859674 | − | 0.859674i | ||||
\(76\) | −1.20546e6 | − | 3.44501e6i | −0.0361325 | − | 0.103261i | ||||
\(77\) | −3.83258e7 | − | 6.09952e7i | −1.09026 | − | 1.73513i | ||||
\(78\) | 8.58305e7 | − | 4.13338e7i | 2.31880 | − | 1.11667i | ||||
\(79\) | −2.06555e7 | + | 5.90300e7i | −0.530307 | + | 1.51553i | 0.297614 | + | 0.954686i | \(0.403809\pi\) |
−0.827921 | + | 0.560844i | \(0.810477\pi\) | |||||||
\(80\) | −1.47107e6 | + | 335761.i | −0.0359147 | + | 0.00819730i | ||||
\(81\) | 3.35389e7 | − | 4.20565e7i | 0.779129 | − | 0.976997i | ||||
\(82\) | 1.43818e7 | + | 1.80342e7i | 0.318096 | + | 0.398879i | ||||
\(83\) | −3.24788e6 | + | 1.42299e7i | −0.0684365 | + | 0.299840i | −0.997550 | − | 0.0699543i | \(-0.977715\pi\) |
0.929114 | + | 0.369794i | \(0.120572\pi\) | |||||||
\(84\) | 2.42059e7 | − | 3.85235e7i | 0.486188 | − | 0.773764i | ||||
\(85\) | 170214. | − | 1.51069e6i | 0.00326077 | − | 0.0289402i | ||||
\(86\) | 1.56472e7i | 0.286051i | ||||||||
\(87\) | −3.20007e7 | + | 6.19324e7i | −0.558576 | + | 1.08104i | ||||
\(88\) | 5.03533e7 | 0.839648 | ||||||||
\(89\) | −1.95390e7 | − | 2.20152e6i | −0.311417 | − | 0.0350883i | −0.0451271 | − | 0.998981i | \(-0.514369\pi\) |
−0.266290 | + | 0.963893i | \(0.585798\pi\) | |||||||
\(90\) | 970399. | + | 609742.i | 0.0147904 | + | 0.00929343i | ||||
\(91\) | −1.65746e8 | − | 3.78304e7i | −2.41700 | − | 0.551665i | ||||
\(92\) | 3.81169e7 | − | 3.03972e7i | 0.532067 | − | 0.424309i | ||||
\(93\) | 8.27295e7 | + | 6.59746e7i | 1.10593 | + | 0.881952i | ||||
\(94\) | −2.10488e7 | − | 9.22207e7i | −0.269597 | − | 1.18118i | ||||
\(95\) | −477063. | − | 166932.i | −0.00585708 | − | 0.00204948i | ||||
\(96\) | 4.25293e7 | + | 8.83129e7i | 0.500729 | + | 1.03977i | ||||
\(97\) | 1.31178e8 | − | 8.24246e7i | 1.48175 | − | 0.931043i | 0.483293 | − | 0.875459i | \(-0.339441\pi\) |
0.998454 | − | 0.0555844i | \(-0.0177022\pi\) | |||||||
\(98\) | −1.16766e8 | + | 4.08584e7i | −1.26594 | + | 0.442972i | ||||
\(99\) | −4.63005e7 | − | 4.63005e7i | −0.481997 | − | 0.481997i | ||||
\(100\) | −2.25307e7 | + | 4.67855e7i | −0.225307 | + | 0.467855i | ||||
\(101\) | −1.34644e6 | − | 1.19499e7i | −0.0129390 | − | 0.114837i | 0.985582 | − | 0.169196i | \(-0.0541170\pi\) |
−0.998521 | + | 0.0543591i | \(0.982688\pi\) | |||||||
\(102\) | −1.59399e8 | + | 1.79600e7i | −1.47260 | + | 0.165922i | ||||
\(103\) | 9.91204e7 | + | 4.77339e7i | 0.880672 | + | 0.424109i | 0.818870 | − | 0.573979i | \(-0.194601\pi\) |
0.0618023 | + | 0.998088i | \(0.480315\pi\) | |||||||
\(104\) | 8.40290e7 | − | 8.40290e7i | 0.718283 | − | 0.718283i | ||||
\(105\) | −2.08090e6 | − | 5.94686e6i | −0.0171196 | − | 0.0489250i | ||||
\(106\) | 1.06309e8 | + | 1.69189e8i | 0.842065 | + | 1.34014i | ||||
\(107\) | −1.65564e8 | + | 7.97315e7i | −1.26308 | + | 0.608268i | −0.940988 | − | 0.338440i | \(-0.890101\pi\) |
−0.322093 | + | 0.946708i | \(0.604387\pi\) | |||||||
\(108\) | −1.47585e7 | + | 4.21773e7i | −0.108479 | + | 0.310016i | ||||
\(109\) | 6.47953e6 | − | 1.47891e6i | 0.0459026 | − | 0.0104770i | −0.199508 | − | 0.979896i | \(-0.563934\pi\) |
0.245411 | + | 0.969419i | \(0.421077\pi\) | |||||||
\(110\) | −4.70478e6 | + | 5.89960e6i | −0.0321342 | + | 0.0402951i | ||||
\(111\) | 4.24932e7 | + | 5.32848e7i | 0.279916 | + | 0.351003i | ||||
\(112\) | 6.32235e7 | − | 2.77000e8i | 0.401797 | − | 1.76039i | ||||
\(113\) | −4.29708e7 | + | 6.83876e7i | −0.263548 | + | 0.419434i | −0.952116 | − | 0.305738i | \(-0.901097\pi\) |
0.688568 | + | 0.725172i | \(0.258240\pi\) | |||||||
\(114\) | −5.97100e6 | + | 5.29941e7i | −0.0353531 | + | 0.313768i | ||||
\(115\) | − | 6.75135e6i | − | 0.0386011i | ||||||
\(116\) | 1.31616e7 | − | 9.31797e7i | 0.0726906 | − | 0.514623i | ||||
\(117\) | −1.54531e8 | −0.824656 | ||||||||
\(118\) | −2.48699e8 | − | 2.80216e7i | −1.28276 | − | 0.144532i | ||||
\(119\) | 2.42385e8 | + | 1.52301e8i | 1.20870 | + | 0.759475i | ||||
\(120\) | 4.29355e6 | + | 979974.i | 0.0207058 | + | 0.00472596i | ||||
\(121\) | 1.69473e8 | − | 1.35151e8i | 0.790606 | − | 0.630487i | ||||
\(122\) | −9.86189e7 | − | 7.86459e7i | −0.445165 | − | 0.355007i | ||||
\(123\) | −2.56485e7 | − | 1.12374e8i | −0.112058 | − | 0.490957i | ||||
\(124\) | −1.34826e8 | − | 4.71777e7i | −0.570278 | − | 0.199549i | ||||
\(125\) | 6.24281e6 | + | 1.29633e7i | 0.0255705 | + | 0.0530978i | ||||
\(126\) | −1.82725e8 | + | 1.14814e8i | −0.724963 | + | 0.455524i | ||||
\(127\) | −3.49157e8 | + | 1.22175e8i | −1.34217 | + | 0.469644i | −0.903339 | − | 0.428928i | \(-0.858891\pi\) |
−0.438826 | + | 0.898572i | \(0.644606\pi\) | |||||||
\(128\) | 1.98840e8 | + | 1.98840e8i | 0.740737 | + | 0.740737i | ||||
\(129\) | 3.39249e7 | − | 7.04458e7i | 0.122507 | − | 0.254388i | ||||
\(130\) | 1.99391e6 | + | 1.76965e7i | 0.00698124 | + | 0.0619602i | ||||
\(131\) | 2.57897e8 | − | 2.90580e7i | 0.875712 | − | 0.0986691i | 0.337347 | − | 0.941381i | \(-0.390471\pi\) |
0.538365 | + | 0.842711i | \(0.319042\pi\) | |||||||
\(132\) | 2.45325e8 | + | 1.18142e8i | 0.808064 | + | 0.389143i | ||||
\(133\) | 6.72962e7 | − | 6.72962e7i | 0.215072 | − | 0.215072i | ||||
\(134\) | 1.34202e8 | + | 3.83528e8i | 0.416237 | + | 1.18954i | ||||
\(135\) | 3.29218e6 | + | 5.23948e6i | 0.00991172 | + | 0.0157744i | ||||
\(136\) | −1.80280e8 | + | 8.68183e7i | −0.526978 | + | 0.253779i | ||||
\(137\) | 1.36210e8 | − | 3.89266e8i | 0.386658 | − | 1.10501i | −0.571953 | − | 0.820286i | \(-0.693814\pi\) |
0.958611 | − | 0.284719i | \(-0.0919002\pi\) | |||||||
\(138\) | −6.94501e8 | + | 1.58515e8i | −1.91494 | + | 0.437074i | ||||
\(139\) | −1.07903e8 | + | 1.35306e8i | −0.289051 | + | 0.362458i | −0.905062 | − | 0.425279i | \(-0.860176\pi\) |
0.616012 | + | 0.787737i | \(0.288747\pi\) | |||||||
\(140\) | 5.30282e6 | + | 6.64953e6i | 0.0138037 | + | 0.0173093i | ||||
\(141\) | −1.05180e8 | + | 4.60825e8i | −0.266108 | + | 1.16590i | ||||
\(142\) | −1.93182e8 | + | 3.07448e8i | −0.475132 | + | 0.756168i | ||||
\(143\) | 1.13919e8 | − | 1.01106e9i | 0.272429 | − | 2.41788i | ||||
\(144\) | − | 2.58258e8i | − | 0.600626i | ||||||
\(145\) | −8.95198e6 | − | 9.47018e6i | −0.0202510 | − | 0.0214233i | ||||
\(146\) | 3.11563e8 | 0.685701 | ||||||||
\(147\) | 6.14283e8 | + | 6.92131e7i | 1.31552 | + | 0.148224i | ||||
\(148\) | −7.79004e7 | − | 4.89481e7i | −0.162365 | − | 0.102021i | ||||
\(149\) | 7.74409e8 | + | 1.76754e8i | 1.57118 | + | 0.358611i | 0.917365 | − | 0.398046i | \(-0.130312\pi\) |
0.653812 | + | 0.756657i | \(0.273169\pi\) | |||||||
\(150\) | 5.93213e8 | − | 4.73071e8i | 1.17178 | − | 0.934462i | ||||
\(151\) | 6.82842e7 | + | 5.44548e7i | 0.131345 | + | 0.104744i | 0.686959 | − | 0.726697i | \(-0.258945\pi\) |
−0.555614 | + | 0.831440i | \(0.687517\pi\) | |||||||
\(152\) | 1.48030e7 | + | 6.48563e7i | 0.0277317 | + | 0.121500i | ||||
\(153\) | 2.45600e8 | + | 8.59392e7i | 0.448191 | + | 0.156829i | ||||
\(154\) | −6.16497e8 | − | 1.28017e9i | −1.09609 | − | 2.27606i | ||||
\(155\) | −1.67488e7 | + | 1.05240e7i | −0.0290173 | + | 0.0182328i | ||||
\(156\) | 6.06549e8 | − | 2.12241e8i | 1.02416 | − | 0.358369i | ||||
\(157\) | −6.71788e8 | − | 6.71788e8i | −1.10569 | − | 1.10569i | −0.993710 | − | 0.111980i | \(-0.964281\pi\) |
−0.111980 | − | 0.993710i | \(-0.535719\pi\) | |||||||
\(158\) | −5.35219e8 | + | 1.11139e9i | −0.858822 | + | 1.78336i | ||||
\(159\) | −1.11794e8 | − | 9.92201e8i | −0.174916 | − | 1.55243i | ||||
\(160\) | −1.82083e7 | + | 2.05158e6i | −0.0277836 | + | 0.00313046i | ||||
\(161\) | 1.14538e9 | + | 5.51584e8i | 1.70469 | + | 0.820934i | ||||
\(162\) | 7.50254e8 | − | 7.50254e8i | 1.08930 | − | 1.08930i | ||||
\(163\) | 1.71099e8 | + | 4.88971e8i | 0.242379 | + | 0.692681i | 0.999235 | + | 0.0390989i | \(0.0124487\pi\) |
−0.756856 | + | 0.653582i | \(0.773266\pi\) | |||||||
\(164\) | 8.27823e7 | + | 1.31747e8i | 0.114436 | + | 0.182124i | ||||
\(165\) | 3.39725e7 | − | 1.63603e7i | 0.0458344 | − | 0.0220727i | ||||
\(166\) | −9.50854e7 | + | 2.71738e8i | −0.125222 | + | 0.357864i | ||||
\(167\) | −4.83023e8 | + | 1.10247e8i | −0.621014 | + | 0.141742i | −0.521440 | − | 0.853288i | \(-0.674605\pi\) |
−0.0995738 | + | 0.995030i | \(0.531748\pi\) | |||||||
\(168\) | −5.17036e8 | + | 6.48343e8i | −0.649058 | + | 0.813894i | ||||
\(169\) | −9.88543e8 | − | 1.23959e9i | −1.21185 | − | 1.51961i | ||||
\(170\) | 6.67253e6 | − | 2.92342e7i | 0.00798904 | − | 0.0350023i | ||||
\(171\) | 4.60246e7 | − | 7.32477e7i | 0.0538276 | − | 0.0856662i | ||||
\(172\) | −1.18177e7 | + | 1.04885e8i | −0.0135027 | + | 0.119840i | ||||
\(173\) | 6.13510e8i | 0.684916i | 0.939533 | + | 0.342458i | \(0.111259\pi\) | ||||
−0.939533 | + | 0.342458i | \(0.888741\pi\) | |||||||
\(174\) | −7.63999e8 | + | 1.14323e9i | −0.833481 | + | 1.24720i | ||||
\(175\) | −1.35405e9 | −1.44372 | ||||||||
\(176\) | 1.68973e9 | + | 1.90386e8i | 1.76102 | + | 0.198420i | ||||
\(177\) | 1.05892e9 | + | 6.65363e8i | 1.07887 | + | 0.677900i | ||||
\(178\) | −3.78110e8 | − | 8.63010e7i | −0.376650 | − | 0.0859678i | ||||
\(179\) | −8.28687e8 | + | 6.60856e8i | −0.807195 | + | 0.643716i | −0.937589 | − | 0.347746i | \(-0.886947\pi\) |
0.130394 | + | 0.991462i | \(0.458376\pi\) | |||||||
\(180\) | 6.04418e6 | + | 4.82007e6i | 0.00575768 | + | 0.00459159i | ||||
\(181\) | 1.89642e8 | + | 8.30877e8i | 0.176694 | + | 0.774145i | 0.983142 | + | 0.182841i | \(0.0585295\pi\) |
−0.806449 | + | 0.591304i | \(0.798613\pi\) | |||||||
\(182\) | −3.16513e9 | − | 1.10753e9i | −2.88474 | − | 1.00941i | ||||
\(183\) | 2.73482e8 | + | 5.67890e8i | 0.243851 | + | 0.506361i | ||||
\(184\) | −7.52410e8 | + | 4.72771e8i | −0.656422 | + | 0.412457i | ||||
\(185\) | −1.20255e7 | + | 4.20790e6i | −0.0102663 | + | 0.00359234i | ||||
\(186\) | 1.47583e9 | + | 1.47583e9i | 1.23306 | + | 1.23306i | ||||
\(187\) | −7.43336e8 | + | 1.54355e9i | −0.607881 | + | 1.26228i | ||||
\(188\) | −7.14417e7 | − | 6.34063e8i | −0.0571900 | − | 0.507576i | ||||
\(189\) | −1.15786e9 | + | 1.30459e8i | −0.907418 | + | 0.102241i | ||||
\(190\) | −8.98195e6 | − | 4.32548e6i | −0.00689218 | − | 0.00331910i | ||||
\(191\) | −5.72516e8 | + | 5.72516e8i | −0.430184 | + | 0.430184i | −0.888691 | − | 0.458507i | \(-0.848384\pi\) |
0.458507 | + | 0.888691i | \(0.348384\pi\) | |||||||
\(192\) | −4.39194e7 | − | 1.25515e8i | −0.0323185 | − | 0.0923611i | ||||
\(193\) | −6.99829e7 | − | 1.11377e8i | −0.0504385 | − | 0.0802725i | 0.820553 | − | 0.571570i | \(-0.193666\pi\) |
−0.870992 | + | 0.491298i | \(0.836523\pi\) | |||||||
\(194\) | 2.75316e9 | − | 1.32585e9i | 1.94368 | − | 0.936028i | ||||
\(195\) | 2.93910e7 | − | 8.39947e7i | 0.0203271 | − | 0.0580916i | ||||
\(196\) | −8.13557e8 | + | 1.85689e8i | −0.551269 | + | 0.125824i | ||||
\(197\) | −1.31589e9 | + | 1.65007e9i | −0.873684 | + | 1.09557i | 0.121006 | + | 0.992652i | \(0.461388\pi\) |
−0.994690 | + | 0.102913i | \(0.967184\pi\) | |||||||
\(198\) | −8.05255e8 | − | 1.00976e9i | −0.523929 | − | 0.656986i | ||||
\(199\) | 6.03545e8 | − | 2.64430e9i | 0.384855 | − | 1.68616i | −0.297165 | − | 0.954826i | \(-0.596041\pi\) |
0.682020 | − | 0.731334i | \(-0.261102\pi\) | |||||||
\(200\) | 5.03556e8 | − | 8.01404e8i | 0.314722 | − | 0.500878i | ||||
\(201\) | 2.27335e8 | − | 2.01766e9i | 0.139278 | − | 1.23613i | ||||
\(202\) | − | 2.37197e8i | − | 0.142463i | ||||||
\(203\) | 2.33800e9 | − | 7.45004e8i | 1.37677 | − | 0.438707i | ||||
\(204\) | −1.08204e9 | −0.624771 | ||||||||
\(205\) | 2.14115e7 | + | 2.41249e6i | 0.0121236 | + | 0.00136600i | ||||
\(206\) | 1.83738e9 | + | 1.15450e9i | 1.02030 | + | 0.641100i | ||||
\(207\) | 1.12657e9 | + | 2.57132e8i | 0.613587 | + | 0.140047i | ||||
\(208\) | 3.13751e9 | − | 2.50208e9i | 1.67622 | − | 1.33674i | ||||
\(209\) | 4.45314e8 | + | 3.55126e8i | 0.233389 | + | 0.186122i | ||||
\(210\) | −2.76531e7 | − | 1.21156e8i | −0.0142189 | − | 0.0622972i | ||||
\(211\) | −1.53360e8 | − | 5.36629e7i | −0.0773716 | − | 0.0270735i | 0.291316 | − | 0.956627i | \(-0.405907\pi\) |
−0.368687 | + | 0.929553i | \(0.620193\pi\) | |||||||
\(212\) | 5.84817e8 | + | 1.21439e9i | 0.289519 | + | 0.601192i | ||||
\(213\) | 1.53631e9 | − | 9.65329e8i | 0.746382 | − | 0.468983i | ||||
\(214\) | −3.42120e9 | + | 1.19713e9i | −1.63126 | + | 0.570803i | ||||
\(215\) | 1.03353e7 | + | 1.03353e7i | 0.00483694 | + | 0.00483694i | ||||
\(216\) | 3.53380e8 | − | 7.33801e8i | 0.162340 | − | 0.337103i | ||||
\(217\) | −4.17032e8 | − | 3.70126e9i | −0.188075 | − | 1.66921i | ||||
\(218\) | 1.30267e8 | − | 1.46776e7i | 0.0576779 | − | 0.00649873i | ||||
\(219\) | −1.40270e9 | − | 6.75503e8i | −0.609800 | − | 0.293664i | ||||
\(220\) | −3.59924e7 | + | 3.59924e7i | −0.0153645 | + | 0.0153645i | ||||
\(221\) | 1.33539e9 | + | 3.81633e9i | 0.559809 | + | 1.59984i | ||||
\(222\) | 7.15206e8 | + | 1.13824e9i | 0.294455 | + | 0.468623i | ||||
\(223\) | 8.60979e8 | − | 4.14626e8i | 0.348155 | − | 0.167663i | −0.251630 | − | 0.967823i | \(-0.580967\pi\) |
0.599786 | + | 0.800161i | \(0.295252\pi\) | |||||||
\(224\) | 1.13956e9 | − | 3.25668e9i | 0.452632 | − | 1.29355i | ||||
\(225\) | −1.19993e9 | + | 2.73875e8i | −0.468192 | + | 0.106862i | ||||
\(226\) | −9.93273e8 | + | 1.24552e9i | −0.380745 | + | 0.477440i | ||||
\(227\) | 2.43452e8 | + | 3.05279e8i | 0.0916873 | + | 0.114972i | 0.825559 | − | 0.564316i | \(-0.190860\pi\) |
−0.733872 | + | 0.679288i | \(0.762289\pi\) | |||||||
\(228\) | −8.00486e7 | + | 3.50716e8i | −0.0296220 | + | 0.129782i | ||||
\(229\) | −6.55957e8 | + | 1.04395e9i | −0.238525 | + | 0.379610i | −0.944439 | − | 0.328688i | \(-0.893394\pi\) |
0.705914 | + | 0.708298i | \(0.250537\pi\) | |||||||
\(230\) | 1.49099e7 | − | 1.32329e8i | 0.00532798 | − | 0.0472872i | ||||
\(231\) | 7.10011e9i | 2.49355i | ||||||||
\(232\) | −4.28541e8 | + | 1.66082e9i | −0.147924 | + | 0.573285i | ||||
\(233\) | −1.43859e9 | −0.488104 | −0.244052 | − | 0.969762i | \(-0.578477\pi\) | ||||
−0.244052 | + | 0.969762i | \(0.578477\pi\) | |||||||
\(234\) | −3.02887e9 | − | 3.41272e8i | −1.01022 | − | 0.113825i | ||||
\(235\) | −7.48169e7 | − | 4.70105e7i | −0.0245317 | − | 0.0154143i | ||||
\(236\) | −1.64589e9 | − | 3.75664e8i | −0.530583 | − | 0.121102i | ||||
\(237\) | 4.81925e9 | − | 3.84322e9i | 1.52752 | − | 1.21815i | ||||
\(238\) | 4.41449e9 | + | 3.52044e9i | 1.37585 | + | 1.09721i | ||||
\(239\) | −8.03750e8 | − | 3.52146e9i | −0.246337 | − | 1.07927i | −0.935127 | − | 0.354312i | \(-0.884715\pi\) |
0.688790 | − | 0.724961i | \(-0.258142\pi\) | |||||||
\(240\) | 1.40375e8 | + | 4.91193e7i | 0.0423101 | + | 0.0148050i | ||||
\(241\) | −2.22015e9 | − | 4.61019e9i | −0.658134 | − | 1.36663i | −0.916286 | − | 0.400525i | \(-0.868828\pi\) |
0.258152 | − | 0.966104i | \(-0.416886\pi\) | |||||||
\(242\) | 3.62021e9 | − | 2.27473e9i | 1.05553 | − | 0.663236i | ||||
\(243\) | −2.92454e9 | + | 1.02334e9i | −0.838748 | + | 0.293491i | ||||
\(244\) | −6.01655e8 | − | 6.01655e8i | −0.169742 | − | 0.169742i | ||||
\(245\) | −5.01389e7 | + | 1.04115e8i | −0.0139159 | + | 0.0288966i | ||||
\(246\) | −2.54551e8 | − | 2.25921e9i | −0.0695080 | − | 0.616901i | ||||
\(247\) | 1.33576e9 | − | 1.50504e8i | 0.358874 | − | 0.0404354i | ||||
\(248\) | 2.34570e9 | + | 1.12963e9i | 0.620107 | + | 0.298628i | ||||
\(249\) | 1.01724e9 | − | 1.01724e9i | 0.264623 | − | 0.264623i | ||||
\(250\) | 9.37327e7 | + | 2.67873e8i | 0.0239956 | + | 0.0685754i | ||||
\(251\) | −3.67857e9 | − | 5.85441e9i | −0.926796 | − | 1.47499i | −0.879384 | − | 0.476112i | \(-0.842046\pi\) |
−0.0474118 | − | 0.998875i | \(-0.515097\pi\) | |||||||
\(252\) | −1.31154e9 | + | 6.31604e8i | −0.325222 | + | 0.156618i | ||||
\(253\) | −2.51285e9 | + | 7.18132e9i | −0.613317 | + | 1.75276i | ||||
\(254\) | −7.11342e9 | + | 1.62359e9i | −1.70901 | + | 0.390069i | ||||
\(255\) | −9.34236e7 | + | 1.17149e8i | −0.0220951 | + | 0.0277064i | ||||
\(256\) | 3.24287e9 | + | 4.06643e9i | 0.755039 | + | 0.946790i | ||||
\(257\) | −1.21198e9 | + | 5.31005e9i | −0.277821 | + | 1.21721i | 0.622722 | + | 0.782443i | \(0.286027\pi\) |
−0.900542 | + | 0.434768i | \(0.856830\pi\) | |||||||
\(258\) | 8.20515e8 | − | 1.30584e9i | 0.185186 | − | 0.294722i | ||||
\(259\) | 2.68604e8 | − | 2.38392e9i | 0.0596916 | − | 0.529777i | ||||
\(260\) | 1.20127e8i | 0.0262874i | ||||||||
\(261\) | 1.92119e9 | − | 1.13310e9i | 0.414008 | − | 0.244177i | ||||
\(262\) | 5.11905e9 | 1.08639 | ||||||||
\(263\) | −5.14766e9 | − | 5.80002e8i | −1.07594 | − | 0.121229i | −0.443831 | − | 0.896111i | \(-0.646381\pi\) |
−0.632106 | + | 0.774882i | \(0.717809\pi\) | |||||||
\(264\) | −4.20224e9 | − | 2.64045e9i | −0.865099 | − | 0.543578i | ||||
\(265\) | 1.81972e8 | + | 4.15340e7i | 0.0368996 | + | 0.00842210i | ||||
\(266\) | 1.46765e9 | − | 1.17041e9i | 0.293154 | − | 0.233782i | ||||
\(267\) | 1.51519e9 | + | 1.20832e9i | 0.298141 | + | 0.237759i | ||||
\(268\) | 6.09909e8 | + | 2.67219e9i | 0.118230 | + | 0.517997i | ||||
\(269\) | 2.96328e9 | + | 1.03690e9i | 0.565931 | + | 0.198028i | 0.598054 | − | 0.801456i | \(-0.295941\pi\) |
−0.0321225 | + | 0.999484i | \(0.510227\pi\) | |||||||
\(270\) | 5.29570e7 | + | 1.09966e8i | 0.00996479 | + | 0.0206921i | ||||
\(271\) | −7.52779e9 | + | 4.73002e9i | −1.39569 | + | 0.876973i | −0.999157 | − | 0.0410459i | \(-0.986931\pi\) |
−0.396537 | + | 0.918019i | \(0.629788\pi\) | |||||||
\(272\) | −6.37799e9 | + | 2.23175e9i | −1.16522 | + | 0.407728i | ||||
\(273\) | 1.18486e10 | + | 1.18486e10i | 2.13312 | + | 2.13312i | ||||
\(274\) | 3.52943e9 | − | 7.32895e9i | 0.626185 | − | 1.30029i | ||||
\(275\) | −9.07326e8 | − | 8.05274e9i | −0.158647 | − | 1.40803i | ||||
\(276\) | −4.77504e9 | + | 5.38017e8i | −0.822887 | + | 0.0927171i | ||||
\(277\) | 3.84207e9 | + | 1.85025e9i | 0.652599 | + | 0.314275i | 0.730729 | − | 0.682668i | \(-0.239180\pi\) |
−0.0781294 | + | 0.996943i | \(0.524895\pi\) | |||||||
\(278\) | −2.41375e9 | + | 2.41375e9i | −0.404123 | + | 0.404123i | ||||
\(279\) | −1.11819e9 | − | 3.19561e9i | −0.184544 | − | 0.527396i | ||||
\(280\) | −8.24752e7 | − | 1.31259e8i | −0.0134181 | − | 0.0213548i | ||||
\(281\) | 6.15662e9 | − | 2.96487e9i | 0.987454 | − | 0.475533i | 0.130792 | − | 0.991410i | \(-0.458248\pi\) |
0.856663 | + | 0.515877i | \(0.172534\pi\) | |||||||
\(282\) | −3.07927e9 | + | 8.80005e9i | −0.486913 | + | 1.39152i | ||||
\(283\) | −6.48283e9 | + | 1.47966e9i | −1.01069 | + | 0.230684i | −0.695640 | − | 0.718391i | \(-0.744879\pi\) |
−0.315052 | + | 0.949074i | \(0.602022\pi\) | |||||||
\(284\) | −1.52713e9 | + | 1.91496e9i | −0.234748 | + | 0.294364i | ||||
\(285\) | 3.10598e7 | + | 3.89477e7i | 0.00470781 | + | 0.00590340i | ||||
\(286\) | 4.46573e9 | − | 1.95656e10i | 0.667464 | − | 2.92435i | ||||
\(287\) | −2.15860e9 | + | 3.43539e9i | −0.318159 | + | 0.506347i | ||||
\(288\) | 3.51142e8 | − | 3.11647e9i | 0.0510403 | − | 0.452995i | ||||
\(289\) | 1.67727e8i | 0.0240443i | ||||||||
\(290\) | −1.54548e8 | − | 2.05389e8i | −0.0218510 | − | 0.0290392i | ||||
\(291\) | −1.52697e10 | −2.12941 | ||||||||
\(292\) | 2.08844e9 | + | 2.35311e8i | 0.287271 | + | 0.0323676i | ||||
\(293\) | −8.71490e9 | − | 5.47594e9i | −1.18248 | − | 0.742998i | −0.210388 | − | 0.977618i | \(-0.567473\pi\) |
−0.972087 | + | 0.234620i | \(0.924616\pi\) | |||||||
\(294\) | 1.18873e10 | + | 2.71320e9i | 1.59109 | + | 0.363156i | ||||
\(295\) | −1.82780e8 | + | 1.45762e8i | −0.0241346 | + | 0.0192467i | ||||
\(296\) | 1.31105e9 | + | 1.04553e9i | 0.170786 | + | 0.136197i | ||||
\(297\) | −1.55172e9 | − | 6.79852e9i | −0.199428 | − | 0.873753i | ||||
\(298\) | 1.47883e10 | + | 5.17467e9i | 1.87523 | + | 0.656171i | ||||
\(299\) | 7.79068e9 | + | 1.61775e10i | 0.974745 | + | 2.02408i | ||||
\(300\) | 4.33366e9 | − | 2.72302e9i | 0.535020 | − | 0.336175i | ||||
\(301\) | −2.59780e9 | + | 9.09009e8i | −0.316475 | + | 0.110739i | ||||
\(302\) | 1.21813e9 | + | 1.21813e9i | 0.146443 | + | 0.146443i | ||||
\(303\) | −5.14268e8 | + | 1.06789e9i | −0.0610126 | + | 0.126694i | ||||
\(304\) | 2.51528e8 | + | 2.23238e9i | 0.0294505 | + | 0.261381i | ||||
\(305\) | −1.17087e8 | + | 1.31926e7i | −0.0135304 | + | 0.00152451i | ||||
\(306\) | 4.62406e9 | + | 2.22683e9i | 0.527397 | + | 0.253981i | ||||
\(307\) | 1.18000e9 | − | 1.18000e9i | 0.132840 | − | 0.132840i | −0.637560 | − | 0.770400i | \(-0.720056\pi\) |
0.770400 | + | 0.637560i | \(0.220056\pi\) | |||||||
\(308\) | −3.16559e9 | − | 9.04673e9i | −0.351764 | − | 1.00528i | ||||
\(309\) | −5.76903e9 | − | 9.18135e9i | −0.632803 | − | 1.00710i | ||||
\(310\) | −3.51524e8 | + | 1.69285e8i | −0.0380634 | + | 0.0183304i | ||||
\(311\) | −3.84503e9 | + | 1.09885e10i | −0.411016 | + | 1.17462i | 0.533401 | + | 0.845863i | \(0.320914\pi\) |
−0.944416 | + | 0.328752i | \(0.893372\pi\) | |||||||
\(312\) | −1.14190e10 | + | 2.60631e9i | −1.20506 | + | 0.275048i | ||||
\(313\) | 8.71122e9 | − | 1.09235e10i | 0.907615 | − | 1.13811i | −0.0823218 | − | 0.996606i | \(-0.526234\pi\) |
0.989937 | − | 0.141508i | \(-0.0451950\pi\) | |||||||
\(314\) | −1.16837e10 | − | 1.46509e10i | −1.20188 | − | 1.50711i | ||||
\(315\) | −4.48568e7 | + | 1.96531e8i | −0.00455603 | + | 0.0199613i | ||||
\(316\) | −4.42702e9 | + | 7.04557e9i | −0.443980 | + | 0.706590i | ||||
\(317\) | 4.27030e8 | − | 3.78999e9i | 0.0422884 | − | 0.375320i | −0.954688 | − | 0.297610i | \(-0.903811\pi\) |
0.996976 | − | 0.0777100i | \(-0.0247608\pi\) | |||||||
\(318\) | − | 1.96944e10i | − | 1.92590i | ||||||
\(319\) | 5.99730e9 | + | 1.34052e10i | 0.579153 | + | 1.29453i | ||||
\(320\) | 2.48582e7 | 0.00237066 | ||||||||
\(321\) | 1.79982e10 | + | 2.02791e9i | 1.69515 | + | 0.190998i | ||||
\(322\) | 2.12317e10 | + | 1.33407e10i | 1.97497 | + | 1.24096i | ||||
\(323\) | −2.20666e9 | − | 5.03656e8i | −0.202733 | − | 0.0462726i | ||||
\(324\) | 5.59567e9 | − | 4.46240e9i | 0.507776 | − | 0.404938i | ||||
\(325\) | −1.49525e10 | − | 1.19242e10i | −1.34023 | − | 1.06880i | ||||
\(326\) | 2.27373e9 | + | 9.96188e9i | 0.201312 | + | 0.882004i | ||||
\(327\) | −6.18302e8 | − | 2.16353e8i | −0.0540766 | − | 0.0189222i | ||||
\(328\) | −1.23050e9 | − | 2.55516e9i | −0.106313 | − | 0.220761i | ||||
\(329\) | 1.40879e10 | − | 8.85203e9i | 1.20244 | − | 0.755544i | ||||
\(330\) | 7.02003e8 | − | 2.45642e8i | 0.0591948 | − | 0.0207131i | ||||
\(331\) | 8.26203e9 | + | 8.26203e9i | 0.688296 | + | 0.688296i | 0.961855 | − | 0.273559i | \(-0.0882010\pi\) |
−0.273559 | + | 0.961855i | \(0.588201\pi\) | |||||||
\(332\) | −8.42601e8 | + | 1.74968e9i | −0.0693537 | + | 0.144014i | ||||
\(333\) | −2.44151e8 | − | 2.16690e9i | −0.0198555 | − | 0.176223i | ||||
\(334\) | −9.71089e9 | + | 1.09415e9i | −0.780321 | + | 0.0879210i | ||||
\(335\) | 3.41972e8 | + | 1.64685e8i | 0.0271526 | + | 0.0130760i | ||||
\(336\) | −1.98018e10 | + | 1.98018e10i | −1.55363 | + | 1.55363i | ||||
\(337\) | 4.98559e9 | + | 1.42480e10i | 0.386542 | + | 1.10467i | 0.958673 | + | 0.284512i | \(0.0918315\pi\) |
−0.572130 | + | 0.820163i | \(0.693883\pi\) | |||||||
\(338\) | −1.66382e10 | − | 2.64796e10i | −1.27480 | − | 2.02883i | ||||
\(339\) | 7.17227e9 | − | 3.45398e9i | 0.543073 | − | 0.261530i | ||||
\(340\) | 6.68061e7 | − | 1.90921e8i | 0.00499920 | − | 0.0142869i | ||||
\(341\) | 2.17325e10 | − | 4.96030e9i | 1.60728 | − | 0.366851i | ||||
\(342\) | 1.06386e9 | − | 1.33404e9i | 0.0777643 | − | 0.0975133i | ||||
\(343\) | −1.09684e9 | − | 1.37539e9i | −0.0792438 | − | 0.0993686i | ||||
\(344\) | 4.28087e8 | − | 1.87557e9i | 0.0305702 | − | 0.133937i | ||||
\(345\) | −3.54030e8 | + | 5.63435e8i | −0.0249898 | + | 0.0397711i | ||||
\(346\) | −1.35489e9 | + | 1.20250e10i | −0.0945368 | + | 0.839037i | ||||
\(347\) | − | 8.75402e9i | − | 0.603795i | −0.953340 | − | 0.301897i | \(-0.902380\pi\) | ||
0.953340 | − | 0.301897i | \(-0.0976200\pi\) | |||||||
\(348\) | −5.98460e9 | + | 7.08616e9i | −0.408054 | + | 0.483163i | ||||
\(349\) | 1.30015e10 | 0.876381 | 0.438191 | − | 0.898882i | \(-0.355620\pi\) | ||||
0.438191 | + | 0.898882i | \(0.355620\pi\) | |||||||
\(350\) | −2.65399e10 | − | 2.99033e9i | −1.76859 | − | 0.199272i | ||||
\(351\) | −1.39348e10 | − | 8.75580e9i | −0.918061 | − | 0.576856i | ||||
\(352\) | 2.01315e10 | + | 4.59489e9i | 1.31131 | + | 0.299298i | ||||
\(353\) | 7.46871e9 | − | 5.95609e9i | 0.481002 | − | 0.383586i | −0.352757 | − | 0.935715i | \(-0.614756\pi\) |
0.833759 | + | 0.552129i | \(0.186184\pi\) | |||||||
\(354\) | 1.92858e10 | + | 1.53799e10i | 1.22807 | + | 0.979356i | ||||
\(355\) | 7.54748e7 | + | 3.30677e8i | 0.00475214 | + | 0.0208205i | ||||
\(356\) | −2.46933e9 | − | 8.64056e8i | −0.153737 | − | 0.0537950i | ||||
\(357\) | −1.22419e10 | − | 2.54205e10i | −0.753660 | − | 1.56499i | ||||
\(358\) | −1.77020e10 | + | 1.11229e10i | −1.07768 | + | 0.677152i | ||||
\(359\) | 7.12634e9 | − | 2.49361e9i | 0.429031 | − | 0.150124i | −0.107121 | − | 0.994246i | \(-0.534163\pi\) |
0.536152 | + | 0.844122i | \(0.319877\pi\) | |||||||
\(360\) | −9.96362e7 | − | 9.96362e7i | −0.00593208 | − | 0.00593208i | ||||
\(361\) | 7.04240e9 | − | 1.46237e10i | 0.414660 | − | 0.861049i | ||||
\(362\) | 1.88212e9 | + | 1.67043e10i | 0.109601 | + | 0.972734i | ||||
\(363\) | −2.12305e10 | + | 2.39210e9i | −1.22274 | + | 0.137770i | ||||
\(364\) | −2.03798e10 | − | 9.81437e9i | −1.16090 | − | 0.559058i | ||||
\(365\) | 2.05794e8 | − | 2.05794e8i | 0.0115948 | − | 0.0115948i | ||||
\(366\) | 4.10619e9 | + | 1.17348e10i | 0.228831 | + | 0.653961i | ||||
\(367\) | −1.26770e10 | − | 2.01753e10i | −0.698799 | − | 1.11213i | −0.987939 | − | 0.154846i | \(-0.950512\pi\) |
0.289140 | − | 0.957287i | \(-0.406631\pi\) | |||||||
\(368\) | −2.70365e10 | + | 1.30201e10i | −1.47421 | + | 0.709941i | ||||
\(369\) | −1.21804e9 | + | 3.48095e9i | −0.0656985 | + | 0.187756i | ||||
\(370\) | −2.44996e8 | + | 5.59189e7i | −0.0130723 | + | 0.00298367i | ||||
\(371\) | −2.19134e10 | + | 2.74785e10i | −1.15668 | + | 1.45043i | ||||
\(372\) | 8.77801e9 | + | 1.10073e10i | 0.458378 | + | 0.574788i | ||||
\(373\) | −2.89546e9 | + | 1.26858e10i | −0.149583 | + | 0.655366i | 0.843418 | + | 0.537258i | \(0.180540\pi\) |
−0.993001 | + | 0.118108i | \(0.962317\pi\) | |||||||
\(374\) | −1.79785e10 | + | 2.86126e10i | −0.918896 | + | 1.46241i | ||||
\(375\) | 1.58781e8 | − | 1.40922e9i | 0.00802921 | − | 0.0712612i | ||||
\(376\) | 1.16300e10i | 0.581873i | ||||||||
\(377\) | 3.23787e10 | + | 1.23623e10i | 1.60285 | + | 0.611974i | ||||
\(378\) | −2.29825e10 | −1.12572 | ||||||||
\(379\) | 4.05246e9 | + | 4.56602e8i | 0.196409 | + | 0.0221300i | 0.209621 | − | 0.977783i | \(-0.432777\pi\) |
−0.0132118 | + | 0.999913i | \(0.504206\pi\) | |||||||
\(380\) | −5.69402e7 | − | 3.57779e7i | −0.00273077 | − | 0.00171585i | ||||
\(381\) | 3.55456e10 | + | 8.11306e9i | 1.68689 | + | 0.385021i | ||||
\(382\) | −1.24859e10 | + | 9.95715e9i | −0.586362 | + | 0.467608i | ||||
\(383\) | 1.11495e10 | + | 8.89143e9i | 0.518156 | + | 0.413216i | 0.847340 | − | 0.531050i | \(-0.178202\pi\) |
−0.329185 | + | 0.944266i | \(0.606774\pi\) | |||||||
\(384\) | −6.16739e9 | − | 2.70211e10i | −0.283646 | − | 1.24273i | ||||
\(385\) | −1.25279e9 | − | 4.38369e8i | −0.0570210 | − | 0.0199525i | ||||
\(386\) | −1.12572e9 | − | 2.33758e9i | −0.0507086 | − | 0.105297i | ||||
\(387\) | −2.11824e9 | + | 1.33098e9i | −0.0944347 | + | 0.0593373i | ||||
\(388\) | 1.94561e10 | − | 6.80800e9i | 0.858479 | − | 0.300395i | ||||
\(389\) | 2.49824e10 | + | 2.49824e10i | 1.09103 | + | 1.09103i | 0.995419 | + | 0.0956110i | \(0.0304805\pi\) |
0.0956110 | + | 0.995419i | \(0.469520\pi\) | |||||||
\(390\) | 7.61571e8 | − | 1.58142e9i | 0.0329194 | − | 0.0683578i | ||||
\(391\) | −3.38514e9 | − | 3.00439e10i | −0.144834 | − | 1.28543i | ||||
\(392\) | 1.51142e10 | − | 1.70296e9i | 0.640089 | − | 0.0721207i | ||||
\(393\) | −2.30466e10 | − | 1.10987e10i | −0.966133 | − | 0.465265i | ||||
\(394\) | −2.94360e10 | + | 2.94360e10i | −1.22150 | + | 1.22150i | ||||
\(395\) | 3.80576e8 | + | 1.08762e9i | 0.0156334 | + | 0.0446776i | ||||
\(396\) | −4.63508e9 | − | 7.37669e9i | −0.188485 | − | 0.299972i | ||||
\(397\) | −4.21030e10 | + | 2.02758e10i | −1.69493 | + | 0.816235i | −0.700171 | + | 0.713975i | \(0.746893\pi\) |
−0.994758 | + | 0.102259i | \(0.967393\pi\) | |||||||
\(398\) | 1.76694e10 | − | 5.04964e10i | 0.704191 | − | 2.01246i | ||||
\(399\) | −9.14511e9 | + | 2.08731e9i | −0.360826 | + | 0.0823561i | ||||
\(400\) | 1.99281e10 | − | 2.49891e10i | 0.778442 | − | 0.976136i | ||||
\(401\) | −3.05624e9 | − | 3.83240e9i | −0.118198 | − | 0.148215i | 0.719212 | − | 0.694790i | \(-0.244503\pi\) |
−0.837410 | + | 0.546575i | \(0.815931\pi\) | |||||||
\(402\) | 8.91170e9 | − | 3.90447e10i | 0.341237 | − | 1.49506i | ||||
\(403\) | 2.79892e10 | − | 4.45446e10i | 1.06113 | − | 1.68879i | ||||
\(404\) | 1.79145e8 | − | 1.58996e9i | 0.00672480 | − | 0.0596842i | ||||
\(405\) | − | 9.91118e8i | − | 0.0368388i | ||||||
\(406\) | 4.74710e10 | − | 9.43902e9i | 1.74713 | − | 0.347394i | ||||
\(407\) | 1.43575e10 | 0.523241 | ||||||||
\(408\) | 1.95979e10 | + | 2.20815e9i | 0.707244 | + | 0.0796873i | ||||
\(409\) | 1.65158e10 | + | 1.03776e10i | 0.590210 | + | 0.370853i | 0.793778 | − | 0.608207i | \(-0.208111\pi\) |
−0.203568 | + | 0.979061i | \(0.565254\pi\) | |||||||
\(410\) | 4.14345e8 | + | 9.45714e7i | 0.0146631 | + | 0.00334676i | ||||
\(411\) | −3.17799e10 | + | 2.53436e10i | −1.11374 | + | 0.888181i | ||||
\(412\) | 1.14442e10 | + | 9.12645e9i | 0.397189 | + | 0.316748i | ||||
\(413\) | −9.79566e9 | − | 4.29176e10i | −0.336692 | − | 1.47515i | ||||
\(414\) | 2.15133e10 | + | 7.52782e9i | 0.732327 | + | 0.256252i | ||||
\(415\) | 1.16683e8 | + | 2.42295e8i | 0.00393383 | + | 0.00816868i | ||||
\(416\) | 4.12631e10 | − | 2.59273e10i | 1.37781 | − | 0.865734i | ||||
\(417\) | 1.61003e10 | − | 5.63373e9i | 0.532463 | − | 0.186317i | ||||
\(418\) | 7.94404e9 | + | 7.94404e9i | 0.260217 | + | 0.260217i | ||||
\(419\) | −8.74759e9 | + | 1.81646e10i | −0.283813 | + | 0.589344i | −0.993325 | − | 0.115350i | \(-0.963201\pi\) |
0.709512 | + | 0.704693i | \(0.248915\pi\) | |||||||
\(420\) | −9.38575e7 | − | 8.33009e8i | −0.00301628 | − | 0.0267702i | ||||
\(421\) | −2.61118e10 | + | 2.94209e9i | −0.831204 | + | 0.0936542i | −0.517304 | − | 0.855802i | \(-0.673064\pi\) |
−0.313900 | + | 0.949456i | \(0.601636\pi\) | |||||||
\(422\) | −2.88740e9 | − | 1.39050e9i | −0.0910451 | − | 0.0438450i | ||||
\(423\) | 1.06939e10 | − | 1.06939e10i | 0.334022 | − | 0.334022i | ||||
\(424\) | −8.11402e9 | − | 2.31885e10i | −0.251057 | − | 0.717480i | ||||
\(425\) | 1.71329e10 | + | 2.72669e10i | 0.525140 | + | 0.835756i | ||||
\(426\) | 3.22441e10 | − | 1.55280e10i | 0.979067 | − | 0.471494i | ||||
\(427\) | 7.32787e9 | − | 2.09418e10i | 0.220428 | − | 0.629946i | ||||
\(428\) | −2.38368e10 | + | 5.44060e9i | −0.710352 | + | 0.162133i | ||||
\(429\) | −6.25257e10 | + | 7.84047e10i | −1.84599 | + | 2.31480i | ||||
\(430\) | 1.79751e8 | + | 2.25401e8i | 0.00525773 | + | 0.00659298i | ||||
\(431\) | −7.80515e9 | + | 3.41966e10i | −0.226189 | + | 0.991000i | 0.726527 | + | 0.687138i | \(0.241133\pi\) |
−0.952716 | + | 0.303862i | \(0.901724\pi\) | |||||||
\(432\) | 1.46330e10 | − | 2.32883e10i | 0.420144 | − | 0.668656i | ||||
\(433\) | 1.70270e8 | − | 1.51119e9i | 0.00484382 | − | 0.0429901i | −0.991058 | − | 0.133433i | \(-0.957400\pi\) |
0.995902 | + | 0.0904432i | \(0.0288284\pi\) | |||||||
\(434\) | − | 7.34670e10i | − | 2.07078i | ||||||
\(435\) | 2.50488e8 | + | 1.25976e9i | 0.00699568 | + | 0.0351829i | ||||
\(436\) | 8.84281e8 | 0.0244706 | ||||||||
\(437\) | −9.98845e9 | − | 1.12543e9i | −0.273888 | − | 0.0308597i | ||||
\(438\) | −2.60016e10 | − | 1.63379e10i | −0.706485 | − | 0.443914i | ||||
\(439\) | 1.51634e10 | + | 3.46095e9i | 0.408262 | + | 0.0931831i | 0.421720 | − | 0.906726i | \(-0.361427\pi\) |
−0.0134576 | + | 0.999909i | \(0.504284\pi\) | |||||||
\(440\) | 7.25348e8 | − | 5.78446e8i | 0.0193524 | − | 0.0154331i | ||||
\(441\) | −1.54635e10 | − | 1.23318e10i | −0.408841 | − | 0.326040i | ||||
\(442\) | 1.77461e10 | + | 7.77506e10i | 0.464957 | + | 2.03711i | ||||
\(443\) | 4.52013e10 | + | 1.58166e10i | 1.17364 | + | 0.410676i | 0.845512 | − | 0.533956i | \(-0.179295\pi\) |
0.328132 | + | 0.944632i | \(0.393581\pi\) | |||||||
\(444\) | 3.93444e9 | + | 8.16994e9i | 0.101240 | + | 0.210226i | ||||
\(445\) | −3.06753e8 | + | 1.92746e8i | −0.00782256 | + | 0.00491524i | ||||
\(446\) | 1.77912e10 | − | 6.22540e9i | 0.449640 | − | 0.157336i | ||||
\(447\) | −5.53598e10 | − | 5.53598e10i | −1.38664 | − | 1.38664i | ||||
\(448\) | −2.03091e9 | + | 4.21723e9i | −0.0504172 | + | 0.104692i | ||||
\(449\) | 2.68435e9 | + | 2.38243e10i | 0.0660472 | + | 0.586185i | 0.982529 | + | 0.186109i | \(0.0595878\pi\) |
−0.916482 | + | 0.400076i | \(0.868984\pi\) | |||||||
\(450\) | −2.41238e10 | + | 2.71810e9i | −0.588296 | + | 0.0662851i | ||||
\(451\) | −2.18772e10 | − | 1.05355e10i | −0.528792 | − | 0.254653i | ||||
\(452\) | −7.59871e9 | + | 7.59871e9i | −0.182048 | + | 0.182048i | ||||
\(453\) | −2.84315e9 | − | 8.12525e9i | −0.0675160 | − | 0.192950i | ||||
\(454\) | 4.09755e9 | + | 6.52122e9i | 0.0964497 | + | 0.153499i | ||||
\(455\) | −2.82218e9 | + | 1.35909e9i | −0.0658475 | + | 0.0317105i | ||||
\(456\) | 2.16557e9 | − | 6.18884e9i | 0.0500856 | − | 0.143136i | ||||
\(457\) | −5.26064e10 | + | 1.20071e10i | −1.20607 | + | 0.275279i | −0.777883 | − | 0.628409i | \(-0.783706\pi\) |
−0.428192 | + | 0.903688i | \(0.640849\pi\) | |||||||
\(458\) | −1.51625e10 | + | 1.90132e10i | −0.344595 | + | 0.432108i | ||||
\(459\) | 1.72775e10 | + | 2.16653e10i | 0.389252 | + | 0.488106i | ||||
\(460\) | 1.99885e8 | − | 8.75754e8i | 0.00446426 | − | 0.0195592i | ||||
\(461\) | 1.03613e10 | − | 1.64900e10i | 0.229410 | − | 0.365104i | −0.712106 | − | 0.702072i | \(-0.752259\pi\) |
0.941516 | + | 0.336968i | \(0.109401\pi\) | |||||||
\(462\) | −1.56801e10 | + | 1.39165e11i | −0.344176 | + | 3.05465i | ||||
\(463\) | 6.79043e9i | 0.147766i | 0.997267 | + | 0.0738828i | \(0.0235391\pi\) | ||||
−0.997267 | + | 0.0738828i | \(0.976461\pi\) | |||||||
\(464\) | −2.06603e10 | + | 5.41125e10i | −0.445722 | + | 1.16742i | ||||
\(465\) | 1.94963e9 | 0.0417005 | ||||||||
\(466\) | −2.81968e10 | − | 3.17702e9i | −0.597939 | − | 0.0673715i | ||||
\(467\) | −3.39275e10 | − | 2.13181e10i | −0.713321 | − | 0.448209i | 0.125870 | − | 0.992047i | \(-0.459828\pi\) |
−0.839190 | + | 0.543838i | \(0.816971\pi\) | |||||||
\(468\) | −2.00451e10 | − | 4.57516e9i | −0.417854 | − | 0.0953725i | ||||
\(469\) | −5.58780e10 | + | 4.45613e10i | −1.15491 | + | 0.921014i | ||||
\(470\) | −1.36262e9 | − | 1.08665e9i | −0.0279243 | − | 0.0222689i | ||||
\(471\) | 2.08367e10 | + | 9.12916e10i | 0.423395 | + | 1.85501i | ||||
\(472\) | 2.90439e10 | + | 1.01629e10i | 0.585177 | + | 0.204762i | ||||
\(473\) | −7.14674e9 | − | 1.48404e10i | −0.142779 | − | 0.296483i | ||||
\(474\) | 1.02946e11 | − | 6.46856e10i | 2.03938 | − | 1.28143i | ||||
\(475\) | 1.01054e10 | − | 3.53603e9i | 0.198508 | − | 0.0694610i | ||||
\(476\) | 2.69320e10 | + | 2.69320e10i | 0.524614 | + | 0.524614i | ||||
\(477\) | −1.38612e10 | + | 2.87831e10i | −0.267748 | + | 0.555985i | ||||
\(478\) | −7.97690e9 | − | 7.07969e10i | −0.152800 | − | 1.35613i | ||||
\(479\) | 1.14110e10 | − | 1.28571e9i | 0.216761 | − | 0.0244231i | −0.00291616 | − | 0.999996i | \(-0.500928\pi\) |
0.219677 | + | 0.975573i | \(0.429500\pi\) | |||||||
\(480\) | 1.62716e9 | + | 7.83597e8i | 0.0306524 | + | 0.0147614i | ||||
\(481\) | 2.39597e10 | − | 2.39597e10i | 0.447611 | − | 0.447611i | ||||
\(482\) | −3.33345e10 | − | 9.52644e10i | −0.617597 | − | 1.76499i | ||||
\(483\) | −6.66634e10 | − | 1.06094e11i | −1.22490 | − | 1.94941i | ||||
\(484\) | 2.59847e10 | − | 1.25136e10i | 0.473518 | − | 0.228034i | ||||
\(485\) | 9.42769e8 | − | 2.69428e9i | 0.0170388 | − | 0.0486940i | ||||
\(486\) | −5.95819e10 | + | 1.35992e10i | −1.06800 | + | 0.243763i | ||||
\(487\) | 5.28930e10 | − | 6.63257e10i | 0.940335 | − | 1.17914i | −0.0433172 | − | 0.999061i | \(-0.513793\pi\) |
0.983652 | − | 0.180081i | \(-0.0576360\pi\) | |||||||
\(488\) | 9.66941e9 | + | 1.21251e10i | 0.170499 | + | 0.213798i | ||||
\(489\) | 1.13618e10 | − | 4.97793e10i | 0.198706 | − | 0.870590i | ||||
\(490\) | −1.21267e9 | + | 1.92995e9i | −0.0210358 | + | 0.0334783i | ||||
\(491\) | −1.64424e9 | + | 1.45930e10i | −0.0282904 | + | 0.251084i | 0.971605 | + | 0.236610i | \(0.0760362\pi\) |
−0.999895 | + | 0.0144748i | \(0.995392\pi\) | |||||||
\(492\) | − | 1.53360e10i | − | 0.261728i | ||||||
\(493\) | −4.45852e10 | − | 3.76544e10i | −0.754750 | − | 0.637423i | ||||
\(494\) | 2.65138e10 | 0.445210 | ||||||||
\(495\) | −1.19885e9 | − | 1.35078e8i | −0.0199685 | − | 0.00224991i | ||||
\(496\) | 7.44445e10 | + | 4.67766e10i | 1.23000 | + | 0.772862i | ||||
\(497\) | −6.22661e10 | − | 1.42118e10i | −1.02053 | − | 0.232930i | ||||
\(498\) | 2.21849e10 | − | 1.76919e10i | 0.360695 | − | 0.287644i | ||||
\(499\) | 7.10253e10 | + | 5.66408e10i | 1.14554 | + | 0.913538i | 0.997154 | − | 0.0753909i | \(-0.0240205\pi\) |
0.148387 | + | 0.988929i | \(0.452592\pi\) | |||||||
\(500\) | 4.25987e8 | + | 1.86637e9i | 0.00681580 | + | 0.0298620i | ||||
\(501\) | 4.60919e10 | + | 1.61282e10i | 0.731600 | + | 0.255998i | ||||
\(502\) | −5.91723e10 | − | 1.22872e11i | −0.931758 | − | 1.93482i | ||||
\(503\) | 6.62360e10 | − | 4.16188e10i | 1.03472 | − | 0.650156i | 0.0961912 | − | 0.995363i | \(-0.469334\pi\) |
0.938527 | + | 0.345207i | \(0.112191\pi\) | |||||||
\(504\) | 2.50437e10 | − | 8.76316e9i | 0.388129 | − | 0.135812i | ||||
\(505\) | −1.56673e8 | − | 1.56673e8i | −0.00240896 | − | 0.00240896i | ||||
\(506\) | −6.51123e10 | + | 1.35207e11i | −0.993255 | + | 2.06252i | ||||
\(507\) | 1.74968e10 | + | 1.55288e11i | 0.264805 | + | 2.35021i | ||||
\(508\) | −4.89083e10 | + | 5.51064e9i | −0.734391 | + | 0.0827460i | ||||
\(509\) | −4.72569e10 | − | 2.27577e10i | −0.704035 | − | 0.339046i | 0.0473783 | − | 0.998877i | \(-0.484913\pi\) |
−0.751414 | + | 0.659831i | \(0.770628\pi\) | |||||||
\(510\) | −2.08985e9 | + | 2.08985e9i | −0.0308912 | + | 0.0308912i | ||||
\(511\) | 1.80999e10 | + | 5.17266e10i | 0.265456 | + | 0.758631i | ||||
\(512\) | 1.62812e10 | + | 2.59113e10i | 0.236922 | + | 0.377059i | ||||
\(513\) | 8.30048e9 | − | 3.99730e9i | 0.119849 | − | 0.0577161i | ||||
\(514\) | −3.54822e10 | + | 1.01402e11i | −0.508344 | + | 1.45276i | ||||
\(515\) | 1.97620e9 | − | 4.51055e8i | 0.0280933 | − | 0.00641211i | ||||
\(516\) | 6.48625e9 | − | 8.13351e9i | 0.0914945 | − | 0.114731i | ||||
\(517\) | 6.20844e10 | + | 7.78514e10i | 0.869001 | + | 1.08969i | ||||
\(518\) | 1.05295e10 | − | 4.61326e10i | 0.146247 | − | 0.640750i | ||||
\(519\) | 3.21715e10 | − | 5.12006e10i | 0.443406 | − | 0.705676i | ||||
\(520\) | 2.45149e8 | − | 2.17575e9i | 0.00335287 | − | 0.0297575i | ||||
\(521\) | − | 6.29231e10i | − | 0.854003i | −0.904251 | − | 0.427001i | \(-0.859570\pi\) | ||
0.904251 | − | 0.427001i | \(-0.140430\pi\) | |||||||
\(522\) | 4.01584e10 | − | 1.79663e10i | 0.540872 | − | 0.241978i | ||||
\(523\) | −7.87718e10 | −1.05284 | −0.526422 | − | 0.850224i | \(-0.676467\pi\) | ||||
−0.526422 | + | 0.850224i | \(0.676467\pi\) | |||||||
\(524\) | 3.43136e10 | + | 3.86621e9i | 0.455135 | + | 0.0512814i | ||||
\(525\) | 1.13003e11 | + | 7.10043e10i | 1.48748 | + | 0.934647i | ||||
\(526\) | −9.96151e10 | − | 2.27365e10i | −1.30131 | − | 0.297016i | ||||
\(527\) | −6.92564e10 | + | 5.52301e10i | −0.897878 | + | 0.716034i | ||||
\(528\) | −1.31033e11 | − | 1.04495e11i | −1.68595 | − | 1.34450i | ||||
\(529\) | −1.24515e10 | − | 5.45535e10i | −0.159000 | − | 0.696626i | ||||
\(530\) | 3.47500e9 | + | 1.21595e9i | 0.0440404 | + | 0.0154104i | ||||
\(531\) | −1.73613e10 | − | 3.60511e10i | −0.218376 | − | 0.453462i | ||||
\(532\) | 1.07218e10 | − | 6.73694e9i | 0.133851 | − | 0.0841039i | ||||
\(533\) | −5.40898e10 | + | 1.89269e10i | −0.670204 | + | 0.234514i | ||||
\(534\) | 2.70297e10 | + | 2.70297e10i | 0.332412 | + | 0.332412i | ||||
\(535\) | −1.46905e9 | + | 3.05050e9i | −0.0179316 | + | 0.0372354i | ||||
\(536\) | −5.59349e9 | − | 4.96436e10i | −0.0677678 | − | 0.601456i | ||||
\(537\) | 1.03812e11 | − | 1.16968e10i | 1.24839 | − | 0.140660i | ||||
\(538\) | 5.57914e10 | + | 2.68677e10i | 0.665945 | + | 0.320702i | ||||
\(539\) | 9.20836e10 | − | 9.20836e10i | 1.09101 | − | 1.09101i | ||||
\(540\) | 2.71923e8 | + | 7.77112e8i | 0.00319795 | + | 0.00913921i | ||||
\(541\) | 3.18443e10 | + | 5.06799e10i | 0.371743 | + | 0.591626i | 0.979242 | − | 0.202695i | \(-0.0649699\pi\) |
−0.607499 | + | 0.794321i | \(0.707827\pi\) | |||||||
\(542\) | −1.57993e11 | + | 7.60856e10i | −1.83080 | + | 0.881668i | ||||
\(543\) | 2.77432e10 | − | 7.92855e10i | 0.319122 | − | 0.912000i | ||||
\(544\) | −7.99993e10 | + | 1.82593e10i | −0.913463 | + | 0.208492i | ||||
\(545\) | 7.63494e7 | − | 9.57391e7i | 0.000865405 | − | 0.00108518i | ||||
\(546\) | 2.06070e11 | + | 2.58403e11i | 2.31869 | + | 2.90755i | ||||
\(547\) | 2.92356e10 | − | 1.28089e11i | 0.326559 | − | 1.43075i | −0.499082 | − | 0.866555i | \(-0.666329\pi\) |
0.825642 | − | 0.564195i | \(-0.190813\pi\) | |||||||
\(548\) | 2.91934e10 | − | 4.64611e10i | 0.323715 | − | 0.515190i | ||||
\(549\) | 2.25800e9 | − | 2.00403e10i | 0.0248561 | − | 0.220604i | ||||
\(550\) | − | 1.59840e11i | − | 1.74677i | ||||||
\(551\) | −1.55032e10 | + | 1.16656e10i | −0.168195 | + | 0.126561i | ||||
\(552\) | 8.75838e10 | 0.943339 | ||||||||
\(553\) | −2.15610e11 | − | 2.42934e10i | −2.30551 | − | 0.259769i | ||||
\(554\) | 7.12199e10 | + | 4.47504e10i | 0.756071 | + | 0.475071i | ||||
\(555\) | 1.22424e9 | + | 2.79426e8i | 0.0129032 | + | 0.00294506i | ||||
\(556\) | −1.80026e10 | + | 1.43566e10i | −0.188381 | + | 0.150229i | ||||
\(557\) | −7.93380e10 | − | 6.32699e10i | −0.824253 | − | 0.657320i | 0.117706 | − | 0.993049i | \(-0.462446\pi\) |
−0.941959 | + | 0.335729i | \(0.891017\pi\) | |||||||
\(558\) | −1.48597e10 | − | 6.51046e10i | −0.153276 | − | 0.671544i | ||||
\(559\) | −3.66918e10 | − | 1.28390e10i | −0.375770 | − | 0.131488i | ||||
\(560\) | −2.27136e9 | − | 4.71653e9i | −0.0230959 | − | 0.0479591i | ||||
\(561\) | 1.42977e11 | − | 8.98381e10i | 1.44349 | − | 0.907004i | ||||
\(562\) | 1.27220e11 | − | 4.45161e10i | 1.27529 | − | 0.446243i | ||||
\(563\) | −1.29459e10 | − | 1.29459e10i | −0.128855 | − | 0.128855i | 0.639738 | − | 0.768593i | \(-0.279043\pi\) |
−0.768593 | + | 0.639738i | \(0.779043\pi\) | |||||||
\(564\) | −2.72870e10 | + | 5.66621e10i | −0.269674 | + | 0.559985i | ||||
\(565\) | 1.66618e8 | + | 1.47877e9i | 0.00163504 | + | 0.0145113i | ||||
\(566\) | −1.30333e11 | + | 1.46851e10i | −1.26996 | + | 0.143090i | ||||
\(567\) | 1.68145e11 | + | 8.09742e10i | 1.62686 | + | 0.783455i | ||||
\(568\) | 3.15674e10 | − | 3.15674e10i | 0.303281 | − | 0.303281i | ||||
\(569\) | 6.08983e10 | + | 1.74037e11i | 0.580973 | + | 1.66033i | 0.739648 | + | 0.672994i | \(0.234992\pi\) |
−0.158675 | + | 0.987331i | \(0.550722\pi\) | |||||||
\(570\) | 5.22769e8 | + | 8.31983e8i | 0.00495234 | + | 0.00788161i | ||||
\(571\) | −3.85626e10 | + | 1.85708e10i | −0.362762 | + | 0.174697i | −0.606381 | − | 0.795174i | \(-0.707379\pi\) |
0.243620 | + | 0.969871i | \(0.421665\pi\) | |||||||
\(572\) | 4.47114e10 | − | 1.27778e11i | 0.417671 | − | 1.19363i | ||||
\(573\) | 7.78012e10 | − | 1.77576e10i | 0.721718 | − | 0.164727i | ||||
\(574\) | −4.98961e10 | + | 6.25677e10i | −0.459641 | + | 0.576372i | ||||
\(575\) | 8.91656e10 | + | 1.11810e11i | 0.815691 | + | 1.02284i | ||||
\(576\) | −9.46749e8 | + | 4.14798e9i | −0.00860092 | + | 0.0376831i | ||||
\(577\) | 5.14848e10 | − | 8.19376e10i | 0.464489 | − | 0.739230i | −0.529547 | − | 0.848281i | \(-0.677638\pi\) |
0.994036 | + | 0.109050i | \(0.0347809\pi\) | |||||||
\(578\) | −3.70414e8 | + | 3.28751e9i | −0.00331876 | + | 0.0294548i | ||||
\(579\) | 1.29648e10i | 0.115359i | ||||||||
\(580\) | −8.80829e8 | − | 1.49347e9i | −0.00778358 | − | 0.0131973i | ||||
\(581\) | −5.06387e10 | −0.444404 | ||||||||
\(582\) | −2.99291e11 | − | 3.37221e10i | −2.60857 | − | 0.293915i | ||||
\(583\) | −1.78103e11 | − | 1.11909e11i | −1.54169 | − | 0.968706i | ||||
\(584\) | −3.73459e10 | − | 8.52395e9i | −0.321064 | − | 0.0732807i | ||||
\(585\) | −2.22605e9 | + | 1.77522e9i | −0.0190069 | + | 0.0151575i | ||||
\(586\) | −1.58722e11 | − | 1.26577e11i | −1.34600 | − | 1.07340i | ||||
\(587\) | 5.46155e9 | + | 2.39286e10i | 0.0460006 | + | 0.201542i | 0.992706 | − | 0.120558i | \(-0.0384684\pi\) |
−0.946706 | + | 0.322100i | \(0.895611\pi\) | |||||||
\(588\) | 7.76328e10 | + | 2.71649e10i | 0.649436 | + | 0.227247i | ||||
\(589\) | 1.27780e10 | + | 2.65337e10i | 0.106170 | + | 0.220464i | ||||
\(590\) | −3.90445e9 | + | 2.45333e9i | −0.0322220 | + | 0.0202464i | ||||
\(591\) | 1.96345e11 | − | 6.87040e10i | 1.60942 | − | 0.563161i | ||||
\(592\) | 4.00422e10 | + | 4.00422e10i | 0.326010 | + | 0.326010i | ||||
\(593\) | −1.86465e10 | + | 3.87198e10i | −0.150792 | + | 0.313123i | −0.962658 | − | 0.270721i | \(-0.912738\pi\) |
0.811866 | + | 0.583844i | \(0.198452\pi\) | |||||||
\(594\) | −1.54002e10 | − | 1.36680e11i | −0.123703 | − | 1.09789i | ||||
\(595\) | 5.24119e9 | − | 5.90540e8i | 0.0418179 | − | 0.00471174i | ||||
\(596\) | 9.52197e10 | + | 4.58554e10i | 0.754644 | + | 0.363417i | ||||
\(597\) | −1.89032e11 | + | 1.89032e11i | −1.48812 | + | 1.48812i | ||||
\(598\) | 1.16973e11 | + | 3.34290e11i | 0.914707 | + | 2.61408i | ||||
\(599\) | 7.15750e8 | + | 1.13911e9i | 0.00555974 | + | 0.00884827i | 0.849493 | − | 0.527601i | \(-0.176908\pi\) |
−0.843933 | + | 0.536449i | \(0.819765\pi\) | |||||||
\(600\) | −8.40487e10 | + | 4.04757e10i | −0.648524 | + | 0.312312i | ||||
\(601\) | 1.88127e10 | − | 5.37637e10i | 0.144196 | − | 0.412089i | −0.849022 | − | 0.528358i | \(-0.822808\pi\) |
0.993218 | + | 0.116269i | \(0.0370935\pi\) | |||||||
\(602\) | −5.29253e10 | + | 1.20798e10i | −0.402974 | + | 0.0919762i | ||||
\(603\) | −4.05046e10 | + | 5.07911e10i | −0.306362 | + | 0.384166i | ||||
\(604\) | 7.24529e9 | + | 9.08530e9i | 0.0544387 | + | 0.0682640i | ||||
\(605\) | 8.88719e8 | − | 3.89373e9i | 0.00663350 | − | 0.0290633i | ||||
\(606\) | −1.24382e10 | + | 1.97953e10i | −0.0922290 | + | 0.146782i | ||||
\(607\) | −2.63224e10 | + | 2.33617e11i | −0.193897 | + | 1.72088i | 0.400150 | + | 0.916449i | \(0.368958\pi\) |
−0.594047 | + | 0.804430i | \(0.702471\pi\) | |||||||
\(608\) | 2.72807e10i | 0.199637i | ||||||||
\(609\) | −2.34185e11 | − | 6.04267e10i | −1.70251 | − | 0.439299i | ||||
\(610\) | −2.32409e9 | −0.0167854 | ||||||||
\(611\) | 2.33523e11 | + | 2.63117e10i | 1.67558 | + | 0.188792i | ||||
\(612\) | 2.93138e10 | + | 1.84191e10i | 0.208961 | + | 0.131299i | ||||
\(613\) | −2.24833e11 | − | 5.13167e10i | −1.59228 | − | 0.363426i | −0.667702 | − | 0.744429i | \(-0.732722\pi\) |
−0.924574 | + | 0.381003i | \(0.875579\pi\) | |||||||
\(614\) | 2.57344e10 | − | 2.05225e10i | 0.181068 | − | 0.144397i | ||||
\(615\) | −1.66039e9 | − | 1.32412e9i | −0.0116067 | − | 0.00925605i | ||||
\(616\) | 3.88734e10 | + | 1.70315e11i | 0.269978 | + | 1.18285i | ||||
\(617\) | 9.24276e10 | + | 3.23418e10i | 0.637766 | + | 0.223164i | 0.629743 | − | 0.776804i | \(-0.283160\pi\) |
0.00802324 | + | 0.999968i | \(0.497446\pi\) | |||||||
\(618\) | −9.27986e10 | − | 1.92698e11i | −0.636191 | − | 1.32106i | ||||
\(619\) | 8.39391e10 | − | 5.27424e10i | 0.571744 | − | 0.359250i | −0.214920 | − | 0.976632i | \(-0.568949\pi\) |
0.786664 | + | 0.617381i | \(0.211806\pi\) | |||||||
\(620\) | −2.48416e9 | + | 8.69244e8i | −0.0168117 | + | 0.00588267i | ||||
\(621\) | 8.70185e10 | + | 8.70185e10i | 0.585120 | + | 0.585120i | ||||
\(622\) | −9.96313e10 | + | 2.06886e11i | −0.665632 | + | 1.38220i | ||||
\(623\) | −7.63792e9 | − | 6.77884e10i | −0.0507017 | − | 0.449990i | ||||
\(624\) | −3.93046e11 | + | 4.42857e10i | −2.59242 | + | 0.292095i | ||||
\(625\) | −1.37119e11 | − | 6.60328e10i | −0.898621 | − | 0.432753i | ||||
\(626\) | 1.94867e11 | − | 1.94867e11i | 1.26894 | − | 1.26894i | ||||
\(627\) | −1.85415e10 | − | 5.29886e10i | −0.119971 | − | 0.342857i | ||||
\(628\) | −6.72519e10 | − | 1.07031e11i | −0.432380 | − | 0.688129i | ||||
\(629\) | −5.14043e10 | + | 2.47550e10i | −0.328395 | + | 0.158147i | ||||
\(630\) | −1.31323e9 | + | 3.75301e9i | −0.00833643 | + | 0.0238241i | ||||
\(631\) | −4.66540e10 | + | 1.06485e10i | −0.294287 | + | 0.0671691i | −0.367115 | − | 0.930175i | \(-0.619655\pi\) |
0.0728284 | + | 0.997344i | \(0.476797\pi\) | |||||||
\(632\) | 9.45608e10 | − | 1.18576e11i | 0.592711 | − | 0.743236i | ||||
\(633\) | 9.98467e9 | + | 1.25204e10i | 0.0621898 | + | 0.0779835i | ||||
\(634\) | 1.67399e10 | − | 7.33422e10i | 0.103608 | − | 0.453938i | ||||
\(635\) | −3.62615e9 | + | 5.77098e9i | −0.0223024 | + | 0.0354940i | ||||
\(636\) | 1.48744e10 | − | 1.32014e11i | 0.0909096 | − | 0.806845i | ||||
\(637\) | − | 3.07336e11i | − | 1.86662i | ||||||
\(638\) | 8.79447e10 | + | 2.75992e11i | 0.530795 | + | 1.66577i | ||||
\(639\) | −5.80531e10 | −0.348195 | ||||||||
\(640\) | 5.14855e9 | + | 5.80102e8i | 0.0306877 | + | 0.00345768i | ||||
\(641\) | 7.25505e10 | + | 4.55865e10i | 0.429743 | + | 0.270025i | 0.729487 | − | 0.683994i | \(-0.239759\pi\) |
−0.299745 | + | 0.954019i | \(0.596902\pi\) | |||||||
\(642\) | 3.48292e11 | + | 7.94955e10i | 2.05024 | + | 0.467953i | ||||
\(643\) | 1.62029e10 | − | 1.29214e10i | 0.0947869 | − | 0.0755900i | −0.574950 | − | 0.818189i | \(-0.694978\pi\) |
0.669737 | + | 0.742599i | \(0.266407\pi\) | |||||||
\(644\) | 1.32242e11 | + | 1.05460e11i | 0.768825 | + | 0.613117i | ||||
\(645\) | −3.20569e8 | − | 1.40450e9i | −0.00185218 | − | 0.00811492i | ||||
\(646\) | −4.21391e10 | − | 1.47451e10i | −0.241966 | − | 0.0846676i | ||||
\(647\) | 1.79999e10 | + | 3.73772e10i | 0.102720 | + | 0.213299i | 0.945994 | − | 0.324184i | \(-0.105090\pi\) |
−0.843275 | + | 0.537483i | \(0.819375\pi\) | |||||||
\(648\) | −1.10456e11 | + | 6.94041e10i | −0.626454 | + | 0.393627i | ||||
\(649\) | 2.48673e11 | − | 8.70145e10i | 1.40168 | − | 0.490470i | ||||
\(650\) | −2.66740e11 | − | 2.66740e11i | −1.49429 | − | 1.49429i | ||||
\(651\) | −1.59285e11 | + | 3.30758e11i | −0.886849 | + | 1.84156i | ||||
\(652\) | 7.71729e9 | + | 6.84928e10i | 0.0427046 | + | 0.379014i | ||||
\(653\) | 1.41636e11 | − | 1.59586e10i | 0.778973 | − | 0.0877692i | 0.286481 | − | 0.958086i | \(-0.407515\pi\) |
0.492492 | + | 0.870317i | \(0.336086\pi\) | |||||||
\(654\) | −1.16411e10 | − | 5.60608e9i | −0.0636333 | − | 0.0306442i | ||||
\(655\) | 3.38124e9 | − | 3.38124e9i | 0.0183701 | − | 0.0183701i | ||||
\(656\) | −3.16312e10 | − | 9.03969e10i | −0.170805 | − | 0.488133i | ||||
\(657\) | 2.65021e10 | + | 4.21778e10i | 0.142239 | + | 0.226372i | ||||
\(658\) | 2.95678e11 | − | 1.42391e11i | 1.57730 | − | 0.759589i | ||||
\(659\) | 9.95535e10 | − | 2.84508e11i | 0.527855 | − | 1.50852i | −0.303527 | − | 0.952823i | \(-0.598164\pi\) |
0.831382 | − | 0.555701i | \(-0.187550\pi\) | |||||||
\(660\) | 4.89113e9 | − | 1.11637e9i | 0.0257771 | − | 0.00588345i | ||||
\(661\) | −1.68321e11 | + | 2.11068e11i | −0.881725 | + | 1.10565i | 0.111991 | + | 0.993709i | \(0.464277\pi\) |
−0.993715 | + | 0.111938i | \(0.964294\pi\) | |||||||
\(662\) | 1.43693e11 | + | 1.80185e11i | 0.748174 | + | 0.938181i | ||||
\(663\) | 8.86768e10 | − | 3.88518e11i | 0.458940 | − | 2.01075i | ||||
\(664\) | 1.88319e10 | − | 2.99708e10i | 0.0968773 | − | 0.154179i | ||||
\(665\) | 1.96332e8 | − | 1.74249e9i | 0.00100393 | − | 0.00891014i | ||||
\(666\) | − | 4.30112e10i | − | 0.218617i | ||||||
\(667\) | −2.15478e11 | − | 1.44000e11i | −1.08868 | − | 0.727545i | ||||
\(668\) | −6.59195e10 | −0.331061 | ||||||||
\(669\) | −9.35954e10 | − | 1.05457e10i | −0.467251 | − | 0.0526465i | ||||
\(670\) | 6.33907e9 | + | 3.98310e9i | 0.0314577 | + | 0.0197662i | ||||
\(671\) | 1.29454e11 | + | 2.95471e10i | 0.638597 | + | 0.145756i | ||||
\(672\) | −2.65877e11 | + | 2.12030e11i | −1.30378 | + | 1.03973i | ||||
\(673\) | 1.43797e11 | + | 1.14675e11i | 0.700956 | + | 0.558994i | 0.907812 | − | 0.419378i | \(-0.137752\pi\) |
−0.206856 | + | 0.978371i | \(0.566323\pi\) | |||||||
\(674\) | 6.62537e10 | + | 2.90276e11i | 0.321048 | + | 1.40660i | ||||
\(675\) | −1.23721e11 | − | 4.32917e10i | −0.595973 | − | 0.208540i | ||||
\(676\) | −9.15290e10 | − | 1.90062e11i | −0.438300 | − | 0.910140i | ||||
\(677\) | 2.93543e11 | − | 1.84445e11i | 1.39739 | − | 0.878037i | 0.398160 | − | 0.917316i | \(-0.369649\pi\) |
0.999228 | + | 0.0392785i | \(0.0125059\pi\) | |||||||
\(678\) | 1.48207e11 | − | 5.18599e10i | 0.701374 | − | 0.245422i | ||||
\(679\) | 3.80064e11 | + | 3.80064e11i | 1.78804 | + | 1.78804i | ||||
\(680\) | −1.59962e9 | + | 3.32164e9i | −0.00748137 | + | 0.0155352i | ||||
\(681\) | −4.30898e9 | − | 3.82433e10i | −0.0200349 | − | 0.177814i | ||||
\(682\) | 4.36919e11 | − | 4.92290e10i | 2.01959 | − | 0.227553i | ||||
\(683\) | −2.00326e11 | − | 9.64719e10i | −0.920565 | − | 0.443321i | −0.0872922 | − | 0.996183i | \(-0.527821\pi\) |
−0.833273 | + | 0.552862i | \(0.813536\pi\) | |||||||
\(684\) | 8.13872e9 | − | 8.13872e9i | 0.0371819 | − | 0.0371819i | ||||
\(685\) | −2.50966e9 | − | 7.17219e9i | −0.0113986 | − | 0.0325754i | ||||
\(686\) | −1.84609e10 | − | 2.93804e10i | −0.0833600 | − | 0.132667i | ||||
\(687\) | 1.09486e11 | − | 5.27257e10i | 0.491509 | − | 0.236698i | ||||
\(688\) | 2.14570e10 | − | 6.13207e10i | 0.0957670 | − | 0.273686i | ||||
\(689\) | −4.83968e11 | + | 1.10463e11i | −2.14753 | + | 0.490161i | ||||
\(690\) | −8.18342e9 | + | 1.02617e10i | −0.0361026 | + | 0.0452712i | ||||
\(691\) | −1.48257e11 | − | 1.85908e11i | −0.650283 | − | 0.815429i | 0.341963 | − | 0.939713i | \(-0.388908\pi\) |
−0.992247 | + | 0.124284i | \(0.960337\pi\) | |||||||
\(692\) | −1.81640e10 | + | 7.95817e10i | −0.0792113 | + | 0.347048i | ||||
\(693\) | 1.20862e11 | − | 1.92351e11i | 0.524033 | − | 0.833993i | ||||
\(694\) | 1.93326e10 | − | 1.71582e11i | 0.0833399 | − | 0.739662i | ||||
\(695\) | 3.18867e9i | 0.0136669i | ||||||||
\(696\) | 1.22855e11 | − | 1.16132e11i | 0.523546 | − | 0.494898i | ||||
\(697\) | 9.64920e10 | 0.408846 | ||||||||
\(698\) | 2.54835e11 | + | 2.87130e10i | 1.07359 | + | 0.120964i | ||||
\(699\) | 1.20058e11 | + | 7.54372e10i | 0.502899 | + | 0.315992i | ||||
\(700\) | −1.75642e11 | − | 4.00890e10i | −0.731535 | − | 0.166968i | ||||
\(701\) | −1.41866e11 | + | 1.13135e11i | −0.587500 | + | 0.468516i | −0.871559 | − | 0.490291i | \(-0.836890\pi\) |
0.284059 | + | 0.958807i | \(0.408319\pi\) | |||||||
\(702\) | −2.53790e11 | − | 2.02391e11i | −1.04502 | − | 0.833378i | ||||
\(703\) | 4.22087e9 | + | 1.84928e10i | 0.0172815 | + | 0.0757150i | ||||
\(704\) | −2.64413e10 | − | 9.25223e9i | −0.107645 | − | 0.0376665i | ||||
\(705\) | 3.77870e9 | + | 7.84655e9i | 0.0152963 | + | 0.0317630i | ||||
\(706\) | 1.59543e11 | − | 1.00247e11i | 0.642183 | − | 0.403510i | ||||
\(707\) | 3.93801e10 | − | 1.37797e10i | 0.157615 | − | 0.0551520i | ||||
\(708\) | 1.17659e11 | + | 1.17659e11i | 0.468266 | + | 0.468266i | ||||
\(709\) | 1.43868e11 | − | 2.98746e11i | 0.569351 | − | 1.18227i | −0.395254 | − | 0.918572i | \(-0.629343\pi\) |
0.964605 | − | 0.263698i | \(-0.0849423\pi\) | |||||||
\(710\) | 7.49057e8 | + | 6.64807e9i | 0.00294769 | + | 0.0261615i | ||||
\(711\) | −1.95981e11 | + | 2.20818e10i | −0.766896 | + | 0.0864084i | ||||
\(712\) | 4.29614e10 | + | 2.06891e10i | 0.167170 | + | 0.0805049i | ||||
\(713\) | −2.78168e11 | + | 2.78168e11i | −1.07634 | + | 1.07634i | ||||
\(714\) | −1.83806e11 | − | 5.25287e11i | −0.707240 | − | 2.02118i | ||||
\(715\) | −9.97380e9 | − | 1.58732e10i | −0.0381625 | − | 0.0607352i | ||||
\(716\) | −1.27059e11 | + | 6.11885e10i | −0.483453 | + | 0.232819i | ||||
\(717\) | −1.17583e11 | + | 3.36032e11i | −0.444904 | + | 1.27146i | ||||
\(718\) | 1.45186e11 | − | 3.31377e10i | 0.546294 | − | 0.124688i | ||||
\(719\) | −1.92271e11 | + | 2.41100e11i | −0.719446 | + | 0.902157i | −0.998306 | − | 0.0581746i | \(-0.981472\pi\) |
0.278860 | + | 0.960332i | \(0.410043\pi\) | |||||||
\(720\) | −2.96680e9 | − | 3.72025e9i | −0.0110397 | − | 0.0138434i | ||||
\(721\) | −8.49332e10 | + | 3.72117e11i | −0.314294 | + | 1.37701i | ||||
\(722\) | 1.70329e11 | − | 2.71077e11i | 0.626815 | − | 0.997571i | ||||
\(723\) | −5.64678e10 | + | 5.01165e11i | −0.206656 | + | 1.83412i | ||||
\(724\) | 1.13392e11i | 0.412695i | ||||||||
\(725\) | 2.73328e11 | + | 3.86076e10i | 0.989311 | + | 0.139740i | ||||
\(726\) | −4.21408e11 | −1.51690 | ||||||||
\(727\) | 3.26332e10 | + | 3.67687e9i | 0.116821 | + | 0.0131626i | 0.170181 | − | 0.985413i | \(-0.445565\pi\) |
−0.0533603 | + | 0.998575i | \(0.516993\pi\) | |||||||
\(728\) | 3.49091e11 | + | 2.19349e11i | 1.24284 | + | 0.780925i | ||||
\(729\) | −4.63526e10 | − | 1.05797e10i | −0.164121 | − | 0.0374596i | ||||
\(730\) | 4.48812e9 | − | 3.57916e9i | 0.0158042 | − | 0.0126034i | ||||
\(731\) | 5.11750e10 | + | 4.08107e10i | 0.179221 | + | 0.142924i | ||||
\(732\) | 1.86614e10 | + | 8.17611e10i | 0.0649981 | + | 0.284775i | ||||
\(733\) | −3.25063e10 | − | 1.13744e10i | −0.112603 | − | 0.0394016i | 0.273389 | − | 0.961903i | \(-0.411855\pi\) |
−0.385993 | + | 0.922502i | \(0.626141\pi\) | |||||||
\(734\) | −2.03918e11 | − | 4.23440e11i | −0.702541 | − | 1.45884i | ||||
\(735\) | 9.64395e9 | − | 6.05970e9i | 0.0330450 | − | 0.0207635i | ||||
\(736\) | −3.43959e11 | + | 1.20356e11i | −1.17218 | + | 0.410165i | ||||
\(737\) | −3.02455e11 | − | 3.02455e11i | −1.02516 | − | 1.02516i | ||||
\(738\) | −3.15614e10 | + | 6.55380e10i | −0.106397 | + | 0.220937i | ||||
\(739\) | 4.97673e10 | + | 4.41697e11i | 0.166866 | + | 1.48097i | 0.746112 | + | 0.665820i | \(0.231918\pi\) |
−0.579246 | + | 0.815152i | \(0.696653\pi\) | |||||||
\(740\) | −1.68447e9 | + | 1.89794e8i | −0.00561742 | + | 0.000632931i | ||||
\(741\) | −1.19369e11 | − | 5.74849e10i | −0.395929 | − | 0.190669i | ||||
\(742\) | −4.90195e11 | + | 4.90195e11i | −1.61716 | + | 1.61716i | ||||
\(743\) | 6.83563e10 | + | 1.95351e11i | 0.224297 | + | 0.641004i | 0.999952 | + | 0.00984635i | \(0.00313424\pi\) |
−0.775654 | + | 0.631158i | \(0.782580\pi\) | |||||||
\(744\) | −1.36525e11 | − | 2.17278e11i | −0.445575 | − | 0.709128i | ||||
\(745\) | 1.31860e10 | − | 6.35004e9i | 0.0428043 | − | 0.0206135i | ||||
\(746\) | −8.47678e10 | + | 2.42252e11i | −0.273701 | + | 0.782191i | ||||
\(747\) | −4.48747e10 | + | 1.02423e10i | −0.144118 | + | 0.0328940i | ||||
\(748\) | −1.42122e11 | + | 1.78215e11i | −0.453998 | + | 0.569295i | ||||
\(749\) | −3.97502e11 | − | 4.98451e11i | −1.26302 | − | 1.58378i | ||||
\(750\) | 6.22432e9 | − | 2.72705e10i | 0.0196719 | − | 0.0861884i | ||||
\(751\) | −6.67874e10 | + | 1.06292e11i | −0.209959 | + | 0.334148i | −0.935057 | − | 0.354498i | \(-0.884652\pi\) |
0.725098 | + | 0.688646i | \(0.241795\pi\) | |||||||
\(752\) | −4.39731e10 | + | 3.90272e11i | −0.137504 | + | 1.22038i | ||||
\(753\) | 6.81479e11i | 2.11969i | ||||||||
\(754\) | 6.07333e11 | + | 3.13811e11i | 1.87906 | + | 0.970919i | ||||
\(755\) | 1.60921e9 | 0.00495250 | ||||||||
\(756\) | −1.54054e11 | − | 1.73578e10i | −0.471614 | − | 0.0531381i | ||||
\(757\) | −4.00528e11 | − | 2.51668e11i | −1.21969 | − | 0.766382i | −0.240761 | − | 0.970584i | \(-0.577397\pi\) |
−0.978929 | + | 0.204203i | \(0.934540\pi\) | |||||||
\(758\) | 7.84212e10 | + | 1.78991e10i | 0.237551 | + | 0.0542195i | ||||
\(759\) | 5.86288e11 | − | 4.67549e11i | 1.76662 | − | 1.40883i | ||||
\(760\) | 9.58292e8 | + | 7.64212e8i | 0.00287239 | + | 0.00229066i | ||||
\(761\) | −6.67227e10 | − | 2.92331e11i | −0.198946 | − | 0.871639i | −0.971566 | − | 0.236770i | \(-0.923911\pi\) |
0.772620 | − | 0.634869i | \(-0.218946\pi\) | |||||||
\(762\) | 6.78790e11 | + | 2.37519e11i | 2.01333 | + | 0.704496i | ||||
\(763\) | 1.00045e10 | + | 2.07747e10i | 0.0295188 | + | 0.0612965i | ||||
\(764\) | −9.12144e10 | + | 5.73138e10i | −0.267726 | + | 0.168223i | ||||
\(765\) | 4.52516e9 | − | 1.58342e9i | 0.0132126 | − | 0.00462329i | ||||
\(766\) | 1.98898e11 | + | 1.98898e11i | 0.577718 | + | 0.577718i | ||||
\(767\) | 2.69774e11 | − | 5.60191e11i | 0.779504 | − | 1.61866i | ||||
\(768\) | −5.73973e10 | − | 5.09415e11i | −0.164986 | − | 1.46429i | ||||
\(769\) | −1.44768e11 | + | 1.63114e10i | −0.413967 | + | 0.0466429i | −0.316492 | − | 0.948595i | \(-0.602505\pi\) |
−0.0974751 | + | 0.995238i | \(0.531077\pi\) | |||||||
\(770\) | −2.35870e10 | − | 1.13589e10i | −0.0670980 | − | 0.0323127i | ||||
\(771\) | 3.79597e11 | − | 3.79597e11i | 1.07425 | − | 1.07425i | ||||
\(772\) | −5.78035e9 | − | 1.65193e10i | −0.0162737 | − | 0.0465074i | ||||
\(773\) | −5.30420e10 | − | 8.44158e10i | −0.148560 | − | 0.236432i | 0.764151 | − | 0.645037i | \(-0.223158\pi\) |
−0.912711 | + | 0.408605i | \(0.866015\pi\) | |||||||
\(774\) | −4.44577e10 | + | 2.14097e10i | −0.123875 | + | 0.0596550i | ||||
\(775\) | 1.38388e11 | − | 3.95491e11i | 0.383612 | − | 1.09630i | ||||
\(776\) | −3.66285e11 | + | 8.36021e10i | −1.01012 | + | 0.230553i | ||||
\(777\) | −1.47425e11 | + | 1.84866e11i | −0.404472 | + | 0.507192i | ||||
\(778\) | 4.34493e11 | + | 5.44837e11i | 1.18594 | + | 1.48713i | ||||
\(779\) | 7.13844e9 | − | 3.12756e10i | 0.0193845 | − | 0.0849289i | ||||
\(780\) | 6.29927e9 | − | 1.00252e10i | 0.0170181 | − | 0.0270842i | ||||
\(781\) | 4.27964e10 | − | 3.79829e11i | 0.115028 | − | 1.02090i | ||||
\(782\) | − | 5.96348e11i | − | 1.59468i | ||||||
\(783\) | 2.37444e11 | + | 6.67915e9i | 0.631705 | + | 0.0177695i | ||||
\(784\) | 5.13631e11 | 1.35952 | ||||||||
\(785\) | −1.73945e10 | − | 1.95989e9i | −0.0458073 | − | 0.00516124i | ||||
\(786\) | −4.27211e11 | − | 2.68435e11i | −1.11932 | − | 0.703312i | ||||
\(787\) | 3.66449e11 | + | 8.36397e10i | 0.955245 | + | 0.218029i | 0.671611 | − | 0.740904i | \(-0.265603\pi\) |
0.283634 | + | 0.958932i | \(0.408460\pi\) | |||||||
\(788\) | −2.19544e11 | + | 1.75081e11i | −0.569400 | + | 0.454081i | ||||
\(789\) | 3.99184e11 | + | 3.18339e11i | 1.03007 | + | 0.821451i | ||||
\(790\) | 5.05748e9 | + | 2.21583e10i | 0.0129845 | + | 0.0568889i | ||||
\(791\) | −2.64489e11 | − | 9.25486e10i | −0.675618 | − | 0.236409i | ||||
\(792\) | 6.88971e10 | + | 1.43066e11i | 0.175106 | + | 0.363611i | ||||
\(793\) | 2.65340e11 | − | 1.66724e11i | 0.670980 | − | 0.421605i | ||||
\(794\) | −8.70012e11 | + | 3.04431e11i | −2.18899 | + | 0.765960i | ||||
\(795\) | −1.30086e10 | − | 1.30086e10i | −0.0325657 | − | 0.0325657i | ||||
\(796\) | 1.56578e11 | − | 3.25138e11i | 0.390013 | − | 0.809870i | ||||
\(797\) | 4.41726e9 | + | 3.92043e10i | 0.0109476 | + | 0.0971628i | 0.997998 | − | 0.0632492i | \(-0.0201463\pi\) |
−0.987050 | + | 0.160412i | \(0.948718\pi\) | |||||||
\(798\) | −1.83857e11 | + | 2.07157e10i | −0.453387 | + | 0.0510845i | ||||
\(799\) | −3.56511e11 | − | 1.71687e11i | −0.874753 | − | 0.421259i | ||||
\(800\) | 2.74455e11 | − | 2.74455e11i | 0.670055 | − | 0.670055i | ||||
\(801\) | −2.04796e10 | − | 5.85274e10i | −0.0497499 | − | 0.142177i | ||||
\(802\) | −5.14398e10 | − | 8.18659e10i | −0.124337 | − | 0.197882i | ||||
\(803\) | −2.95497e11 | + | 1.42304e11i | −0.710708 | + | 0.342259i | ||||
\(804\) | 8.92250e10 | − | 2.54990e11i | 0.213532 | − | 0.610239i | ||||
\(805\) | 2.28358e10 | − | 5.21212e9i | 0.0543792 | − | 0.0124117i | ||||
\(806\) | 6.46972e11 | − | 8.11278e11i | 1.53301 | − | 1.92234i | ||||
\(807\) | −1.92928e11 | − | 2.41924e11i | −0.454884 | − | 0.570407i | ||||
\(808\) | −6.48938e9 | + | 2.84318e10i | −0.0152250 | + | 0.0667052i | ||||
\(809\) | −3.96035e11 | + | 6.30285e11i | −0.924568 | + | 1.47144i | −0.0431705 | + | 0.999068i | \(0.513746\pi\) |
−0.881398 | + | 0.472374i | \(0.843397\pi\) | |||||||
\(810\) | 2.18881e9 | − | 1.94263e10i | 0.00508474 | − | 0.0451283i | ||||
\(811\) | 3.29760e11i | 0.762280i | 0.924517 | + | 0.381140i | \(0.124468\pi\) | ||||
−0.924517 | + | 0.381140i | \(0.875532\pi\) | |||||||
\(812\) | 3.25333e11 | − | 2.74179e10i | 0.748348 | − | 0.0630681i | ||||
\(813\) | 8.76268e11 | 2.00574 | ||||||||
\(814\) | 2.81413e11 | + | 3.17076e10i | 0.640982 | + | 0.0722214i | ||||
\(815\) | 8.08188e9 | + | 5.07818e9i | 0.0183182 | + | 0.0115101i | ||||
\(816\) | 6.49306e11 | + | 1.48200e11i | 1.46450 | + | 0.334262i | ||||
\(817\) | 1.70137e10 | − | 1.35680e10i | 0.0381866 | − | 0.0304528i | ||||
\(818\) | 3.00798e11 | + | 2.39878e11i | 0.671833 | + | 0.535769i | ||||
\(819\) | −1.19300e11 | − | 5.22687e11i | −0.265158 | − | 1.16173i | ||||
\(820\) | 2.70597e9 | + | 9.46860e8i | 0.00598505 | + | 0.00209426i | ||||
\(821\) | 3.05381e11 | + | 6.34129e11i | 0.672154 | + | 1.39574i | 0.905920 | + | 0.423449i | \(0.139181\pi\) |
−0.233766 | + | 0.972293i | \(0.575105\pi\) | |||||||
\(822\) | −6.78867e11 | + | 4.26561e11i | −1.48695 | + | 0.934316i | ||||
\(823\) | 8.54264e9 | − | 2.98920e9i | 0.0186206 | − | 0.00651561i | −0.320953 | − | 0.947095i | \(-0.604003\pi\) |
0.339573 | + | 0.940580i | \(0.389717\pi\) | |||||||
\(824\) | −1.88654e11 | − | 1.88654e11i | −0.409220 | − | 0.409220i | ||||
\(825\) | −3.46552e11 | + | 7.19622e11i | −0.748087 | + | 1.55342i | ||||
\(826\) | −9.72179e10 | − | 8.62833e11i | −0.208846 | − | 1.85356i | ||||
\(827\) | −4.91193e11 | + | 5.53441e10i | −1.05010 | + | 0.118318i | −0.620109 | − | 0.784516i | \(-0.712911\pi\) |
−0.429990 | + | 0.902834i | \(0.641483\pi\) | |||||||
\(828\) | 1.38520e11 | + | 6.67079e10i | 0.294708 | + | 0.141924i | ||||
\(829\) | 1.65382e11 | − | 1.65382e11i | 0.350162 | − | 0.350162i | −0.510008 | − | 0.860170i | \(-0.670357\pi\) |
0.860170 | + | 0.510008i | \(0.170357\pi\) | |||||||
\(830\) | 1.75194e9 | + | 5.00675e9i | 0.00369153 | + | 0.0105498i | ||||
\(831\) | −2.23617e11 | − | 3.55885e11i | −0.468922 | − | 0.746286i | ||||
\(832\) | −5.95650e10 | + | 2.86850e10i | −0.124308 | + | 0.0598634i | ||||
\(833\) | −1.70918e11 | + | 4.88456e11i | −0.354984 | + | 1.01448i | ||||
\(834\) | 3.28013e11 | − | 7.48668e10i | 0.677996 | − | 0.154748i | ||||
\(835\) | −5.69154e9 | + | 7.13696e9i | −0.0117080 | + | 0.0146814i | ||||
\(836\) | 4.72500e10 | + | 5.92496e10i | 0.0967334 | + | 0.121300i | ||||
\(837\) | 8.02321e10 | − | 3.51520e11i | 0.163473 | − | 0.716222i | ||||
\(838\) | −2.11571e11 | + | 3.36713e11i | −0.429023 | + | 0.682786i | ||||
\(839\) | −2.16277e10 | + | 1.91952e11i | −0.0436479 | + | 0.387386i | 0.952828 | + | 0.303510i | \(0.0981585\pi\) |
−0.996476 | + | 0.0838760i | \(0.973270\pi\) | |||||||
\(840\) | 1.52791e10i | 0.0306888i | ||||||||
\(841\) | −4.93191e11 | + | 8.37234e10i | −0.985895 | + | 0.167364i | ||||
\(842\) | −5.18297e11 | −1.03117 | ||||||||
\(843\) | −6.69275e11 | − | 7.54091e10i | −1.32524 | − | 0.149319i | ||||
\(844\) | −1.83044e10 | − | 1.15014e10i | −0.0360732 | − | 0.0226663i | ||||
\(845\) | −2.84803e10 | − | 6.50043e9i | −0.0558621 | − | 0.0127502i | ||||
\(846\) | 2.33221e11 | − | 1.85988e11i | 0.455289 | − | 0.363081i | ||||
\(847\) | 5.87969e11 | + | 4.68890e11i | 1.14241 | + | 0.911039i | ||||
\(848\) | −1.84609e11 | − | 8.08825e11i | −0.357001 | − | 1.56412i | ||||
\(849\) | 6.18617e11 | + | 2.16463e11i | 1.19067 | + | 0.416633i | ||||
\(850\) | 2.75594e11 | + | 5.72277e11i | 0.527952 | + | 1.09630i | ||||
\(851\) | −2.14539e11 | + | 1.34804e11i | −0.409061 | + | 0.257030i | ||||
\(852\) | 2.27864e11 | − | 7.97329e10i | 0.432431 | − | 0.151314i | ||||
\(853\) | 4.83396e11 | + | 4.83396e11i | 0.913076 | + | 0.913076i | 0.996513 | − | 0.0834371i | \(-0.0265898\pi\) |
−0.0834371 | + | 0.996513i | \(0.526590\pi\) | |||||||
\(854\) | 1.89877e11 | − | 3.94285e11i | 0.356978 | − | 0.741273i | ||||
\(855\) | −1.78459e8 | − | 1.58386e9i | −0.000333943 | − | 0.00296383i | ||||
\(856\) | 4.42838e11 | − | 4.98958e10i | 0.824802 | − | 0.0929328i | ||||
\(857\) | −3.91492e11 | − | 1.88533e11i | −0.725771 | − | 0.349513i | 0.0342481 | − | 0.999413i | \(-0.489096\pi\) |
−0.760019 | + | 0.649900i | \(0.774811\pi\) | |||||||
\(858\) | −1.39868e12 | + | 1.39868e12i | −2.58088 | + | 2.58088i | ||||
\(859\) | −1.83429e11 | − | 5.24211e11i | −0.336896 | − | 0.962795i | −0.980343 | − | 0.197303i | \(-0.936782\pi\) |
0.643446 | − | 0.765491i | \(-0.277504\pi\) | |||||||
\(860\) | 1.03466e9 | + | 1.64665e9i | 0.00189148 | + | 0.00301028i | ||||
\(861\) | 3.60292e11 | − | 1.73507e11i | 0.655605 | − | 0.315723i | ||||
\(862\) | −2.28504e11 | + | 6.53028e11i | −0.413872 | + | 1.18278i | ||||
\(863\) | 4.32342e11 | − | 9.86792e10i | 0.779443 | − | 0.177903i | 0.185753 | − | 0.982597i | \(-0.440528\pi\) |
0.593690 | + | 0.804694i | \(0.297671\pi\) | |||||||
\(864\) | 2.08244e11 | − | 2.61130e11i | 0.373696 | − | 0.468600i | ||||
\(865\) | 7.04784e9 | + | 8.83771e9i | 0.0125890 | + | 0.0157861i | ||||
\(866\) | 6.67472e9 | − | 2.92439e10i | 0.0118676 | − | 0.0519952i | ||||
\(867\) | 8.79534e9 | − | 1.39977e10i | 0.0155660 | − | 0.0247731i | ||||
\(868\) | 5.54867e10 | − | 4.92458e11i | 0.0977484 | − | 0.867541i | ||||
\(869\) | − | 1.29854e12i | − | 2.27707i | ||||||
\(870\) | 2.12756e9 | + | 2.52450e10i | 0.00371368 | + | 0.0440654i | ||||
\(871\) | −1.00947e12 | −1.75396 | ||||||||
\(872\) | −1.60162e10 | − | 1.80459e9i | −0.0277008 | − | 0.00312114i | ||||
\(873\) | 4.13676e11 | + | 2.59930e11i | 0.712202 | + | 0.447506i | ||||
\(874\) | −1.93292e11 | − | 4.41176e10i | −0.331259 | − | 0.0756077i | ||||
\(875\) | −3.90277e10 | + | 3.11235e10i | −0.0665795 | + | 0.0530954i | ||||
\(876\) | −1.61952e11 | − | 1.29152e11i | −0.275024 | − | 0.219324i | ||||
\(877\) | 1.21948e11 | + | 5.34291e11i | 0.206147 | + | 0.903191i | 0.967103 | + | 0.254386i | \(0.0818735\pi\) |
−0.760955 | + | 0.648804i | \(0.775269\pi\) | |||||||
\(878\) | 2.89565e11 | + | 1.01323e11i | 0.487268 | + | 0.170503i | ||||
\(879\) | 4.40155e11 | + | 9.13990e11i | 0.737309 | + | 1.53104i | ||||
\(880\) | 2.65279e10 | − | 1.66686e10i | 0.0442356 | − | 0.0277951i | ||||
\(881\) | −7.40509e9 | + | 2.59115e9i | −0.0122921 | + | 0.00430120i | −0.336418 | − | 0.941713i | \(-0.609216\pi\) |
0.324126 | + | 0.946014i | \(0.394930\pi\) | |||||||
\(882\) | −2.75857e11 | − | 2.75857e11i | −0.455838 | − | 0.455838i | ||||
\(883\) | 3.99120e11 | − | 8.28781e11i | 0.656539 | − | 1.36332i | −0.260871 | − | 0.965374i | \(-0.584010\pi\) |
0.917410 | − | 0.397944i | \(-0.130276\pi\) | |||||||
\(884\) | 6.02320e10 | + | 5.34574e11i | 0.0986321 | + | 0.875384i | ||||
\(885\) | 2.28974e10 | − | 2.57992e9i | 0.0373262 | − | 0.00420565i | ||||
\(886\) | 8.51033e11 | + | 4.09836e11i | 1.38106 | + | 0.665082i | ||||
\(887\) | 7.50337e11 | − | 7.50337e11i | 1.21217 | − | 1.21217i | 0.241852 | − | 0.970313i | \(-0.422245\pi\) |
0.970313 | − | 0.241852i | \(-0.0777550\pi\) | |||||||
\(888\) | −5.45881e10 | − | 1.56004e11i | −0.0877903 | − | 0.250890i | ||||
\(889\) | −6.82800e11 | − | 1.08667e12i | −1.09317 | − | 1.73976i | ||||
\(890\) | −6.43814e9 | + | 3.10044e9i | −0.0102612 | + | 0.00494156i | ||||
\(891\) | −3.68894e11 | + | 1.05424e12i | −0.585317 | + | 1.67274i | ||||
\(892\) | 1.23958e11 | − | 2.82926e10i | 0.195801 | − | 0.0446903i | ||||
\(893\) | −8.20227e10 | + | 1.02853e11i | −0.128982 | + | 0.161738i | ||||
\(894\) | −9.62813e11 | − | 1.20733e12i | −1.50727 | − | 1.89006i | ||||
\(895\) | −4.34564e9 | + | 1.90395e10i | −0.00677269 | + | 0.0296731i | ||||
\(896\) | −5.19051e11 | + | 8.26065e11i | −0.805337 | + | 1.28169i | ||||
\(897\) | 1.98150e11 | − | 1.75863e12i | 0.306072 | − | 2.71647i | ||||
\(898\) | 4.72893e11i | 0.727206i | ||||||||
\(899\) | −2.13509e10 | + | 7.59025e11i | −0.0326872 | + | 1.16203i | ||||
\(900\) | −1.63758e11 | −0.249592 | ||||||||
\(901\) | 8.30613e11 | + | 9.35877e10i | 1.26037 | + | 0.142010i | ||||
\(902\) | −4.05533e11 | − | 2.54814e11i | −0.612633 | − | 0.384943i | ||||
\(903\) | 2.64467e11 | + | 6.03628e10i | 0.397759 | + | 0.0907859i | ||||
\(904\) | 1.53136e11 | − | 1.22122e11i | 0.229299 | − | 0.182860i | ||||
\(905\) | 1.22767e10 | + | 9.79037e9i | 0.0183016 | + | 0.0145950i | ||||
\(906\) | −3.77827e10 | − | 1.65537e11i | −0.0560764 | − | 0.245687i | ||||
\(907\) | −6.28505e11 | − | 2.19923e11i | −0.928709 | − | 0.324969i | −0.176808 | − | 0.984245i | \(-0.556577\pi\) |
−0.751901 | + | 0.659276i | \(0.770863\pi\) | |||||||
\(908\) | 2.25411e10 | + | 4.68072e10i | 0.0331614 | + | 0.0688603i | ||||
\(909\) | 3.21105e10 | − | 2.01763e10i | 0.0470318 | − | 0.0295520i | ||||
\(910\) | −5.83172e10 | + | 2.04061e10i | −0.0850416 | + | 0.0297573i | ||||
\(911\) | 7.66991e11 | + | 7.66991e11i | 1.11357 | + | 1.11357i | 0.992664 | + | 0.120903i | \(0.0385791\pi\) |
0.120903 | + | 0.992664i | \(0.461421\pi\) | |||||||
\(912\) | 9.60708e10 | − | 1.99493e11i | 0.138871 | − | 0.288369i | ||||
\(913\) | −3.39321e10 | − | 3.01155e11i | −0.0488345 | − | 0.433419i | ||||
\(914\) | −1.05762e12 | + | 1.19165e11i | −1.51546 | + | 0.170752i | ||||
\(915\) | 1.04633e10 | + | 5.03887e9i | 0.0149274 | + | 0.00718868i | ||||
\(916\) | −1.15996e11 | + | 1.15996e11i | −0.164763 | + | 0.164763i | ||||
\(917\) | 2.97386e11 | + | 8.49879e11i | 0.420574 | + | 1.20193i | ||||
\(918\) | 2.90799e11 | + | 4.62804e11i | 0.409470 | + | 0.651668i | ||||
\(919\) | −1.20626e12 | + | 5.80906e11i | −1.69114 | + | 0.814411i | −0.695775 | + | 0.718260i | \(0.744939\pi\) |
−0.995367 | + | 0.0961514i | \(0.969347\pi\) | |||||||
\(920\) | −5.40753e9 | + | 1.54538e10i | −0.00754827 | + | 0.0215717i | ||||
\(921\) | −1.60355e11 | + | 3.65999e10i | −0.222865 | + | 0.0508676i | ||||
\(922\) | 2.39503e11 | − | 3.00327e11i | 0.331427 | − | 0.415596i | ||||
\(923\) | −5.62435e11 | − | 7.05271e11i | −0.774936 | − | 0.971738i | ||||
\(924\) | −2.10211e11 | + | 9.20994e11i | −0.288382 | + | 1.26348i | ||||
\(925\) | 1.43582e11 | − | 2.28509e11i | 0.196125 | − | 0.312130i | ||||
\(926\) | −1.49962e10 | + | 1.33095e11i | −0.0203956 | + | 0.181016i | ||||
\(927\) | 3.46939e11i | 0.469823i | ||||||||
\(928\) | −3.22887e11 | + | 6.24899e11i | −0.435371 | + | 0.842593i | ||||
\(929\) | 4.20056e11 | 0.563955 | 0.281977 | − | 0.959421i | \(-0.409010\pi\) | ||||
0.281977 | + | 0.959421i | \(0.409010\pi\) | |||||||
\(930\) | 3.82135e10 | + | 4.30563e9i | 0.0510840 | + | 0.00575578i | ||||
\(931\) | 1.45677e11 | + | 9.15349e10i | 0.193906 | + | 0.121839i | ||||
\(932\) | −1.86607e11 | − | 4.25918e10i | −0.247323 | − | 0.0564498i | ||||
\(933\) | 8.97105e11 | − | 7.15417e11i | 1.18390 | − | 0.944132i | ||||
\(934\) | −6.17913e11 | − | 4.92769e11i | −0.811969 | − | 0.647524i | ||||
\(935\) | 7.02405e9 | + | 3.07744e10i | 0.00919054 | + | 0.0402664i | ||||
\(936\) | 3.53722e11 | + | 1.23773e11i | 0.460849 | + | 0.161258i | ||||
\(937\) | 2.29146e11 | + | 4.75827e11i | 0.297272 | + | 0.617292i | 0.995089 | − | 0.0989843i | \(-0.0315594\pi\) |
−0.697817 | + | 0.716276i | \(0.745845\pi\) | |||||||
\(938\) | −1.19364e12 | + | 7.50014e11i | −1.54192 | + | 0.968853i | ||||
\(939\) | −1.29981e12 | + | 4.54823e11i | −1.67193 | + | 0.585032i | ||||
\(940\) | −8.31308e9 | − | 8.31308e9i | −0.0106476 | − | 0.0106476i | ||||
\(941\) | 2.25759e11 | − | 4.68794e11i | 0.287930 | − | 0.597893i | −0.705962 | − | 0.708250i | \(-0.749485\pi\) |
0.993892 | + | 0.110357i | \(0.0351993\pi\) | |||||||
\(942\) | 2.06796e11 | + | 1.83537e12i | 0.262627 | + | 2.33087i | ||||
\(943\) | 4.25820e11 | − | 4.79784e10i | 0.538492 | − | 0.0606735i | ||||
\(944\) | 9.36212e11 | + | 4.50856e11i | 1.17892 | + | 0.567740i | ||||
\(945\) | −1.51804e10 | + | 1.51804e10i | −0.0190352 | + | 0.0190352i | ||||
\(946\) | −1.07305e11 | − | 3.06660e11i | −0.133985 | − | 0.382906i | ||||
\(947\) | −1.93364e11 | − | 3.07736e11i | −0.240422 | − | 0.382630i | 0.704616 | − | 0.709588i | \(-0.251119\pi\) |
−0.945039 | + | 0.326958i | \(0.893976\pi\) | |||||||
\(948\) | 7.38916e11 | − | 3.55843e11i | 0.914875 | − | 0.440581i | ||||
\(949\) | −2.55647e11 | + | 7.30597e11i | −0.315193 | + | 0.900768i | ||||
\(950\) | 2.05878e11 | − | 4.69904e10i | 0.252765 | − | 0.0576919i | ||||
\(951\) | −2.34379e11 | + | 2.93902e11i | −0.286547 | + | 0.359319i | ||||
\(952\) | −4.32833e11 | − | 5.42755e11i | −0.526954 | − | 0.660779i | ||||
\(953\) | −1.51148e11 | + | 6.62221e11i | −0.183244 | + | 0.802845i | 0.796829 | + | 0.604205i | \(0.206509\pi\) |
−0.980073 | + | 0.198639i | \(0.936348\pi\) | |||||||
\(954\) | −3.35250e11 | + | 5.33547e11i | −0.404739 | + | 0.644138i | ||||
\(955\) | −1.67027e9 | + | 1.48241e10i | −0.00200805 | + | 0.0178219i | ||||
\(956\) | − | 4.80584e11i | − | 0.575358i | ||||||
\(957\) | 2.02443e11 | − | 1.43323e12i | 0.241354 | − | 1.70870i | ||||
\(958\) | 2.26499e11 | 0.268908 | ||||||||
\(959\) | 1.42181e12 | + | 1.60200e11i | 1.68100 | + | 0.189403i | ||||
\(960\) | −2.07455e9 | − | 1.30352e9i | −0.00244252 | − | 0.00153474i | ||||
\(961\) | 2.92178e11 | + | 6.66877e10i | 0.342573 | + | 0.0781901i | ||||
\(962\) | 5.22531e11 | − | 4.16705e11i | 0.610115 | − | 0.486551i | ||||
\(963\) | −4.53074e11 | − | 3.61315e11i | −0.526822 | − | 0.420127i | ||||
\(964\) | −1.51495e11 | − | 6.63744e11i | −0.175425 | − | 0.768586i | ||||
\(965\) | −2.28759e9 | − | 8.00461e8i | −0.00263796 | − | 0.000923062i | ||||
\(966\) | −1.07233e12 | − | 2.22671e12i | −1.23145 | − | 2.55714i | ||||
\(967\) | 4.56096e11 | − | 2.86584e11i | 0.521616 | − | 0.327753i | −0.245357 | − | 0.969433i | \(-0.578905\pi\) |
0.766973 | + | 0.641680i | \(0.221762\pi\) | |||||||
\(968\) | −4.96174e11 | + | 1.73619e11i | −0.565109 | + | 0.197740i | ||||
\(969\) | 1.57746e11 | + | 1.57746e11i | 0.178922 | + | 0.178922i | ||||
\(970\) | 2.44287e10 | − | 5.07268e10i | 0.0275940 | − | 0.0572995i | ||||
\(971\) | −4.02286e10 | − | 3.57038e11i | −0.0452541 | − | 0.401641i | −0.995836 | − | 0.0911662i | \(-0.970941\pi\) |
0.950582 | − | 0.310475i | \(-0.100488\pi\) | |||||||
\(972\) | −4.09655e11 | + | 4.61571e10i | −0.458937 | + | 0.0517098i | ||||
\(973\) | −5.40962e11 | − | 2.60514e11i | −0.603553 | − | 0.290656i | ||||
\(974\) | 1.18320e12 | − | 1.18320e12i | 1.31468 | − | 1.31468i | ||||
\(975\) | 6.22575e11 | + | 1.77922e12i | 0.688927 | + | 1.96884i | ||||
\(976\) | 2.78635e11 | + | 4.43445e11i | 0.307069 | + | 0.488698i | ||||
\(977\) | 9.02206e11 | − | 4.34480e11i | 0.990210 | − | 0.476860i | 0.132605 | − | 0.991169i | \(-0.457666\pi\) |
0.857605 | + | 0.514309i | \(0.171951\pi\) | |||||||
\(978\) | 3.32630e11 | − | 9.50601e11i | 0.363585 | − | 1.03907i | ||||
\(979\) | 3.98029e11 | − | 9.08476e10i | 0.433296 | − | 0.0988969i | ||||
\(980\) | −9.58628e9 | + | 1.20208e10i | −0.0103931 | + | 0.0130326i | ||||
\(981\) | 1.30677e10 | + | 1.63864e10i | 0.0141099 | + | 0.0176933i | ||||
\(982\) | −6.44554e10 | + | 2.82398e11i | −0.0693128 | + | 0.303679i | ||||
\(983\) | 4.83668e11 | − | 7.69752e11i | 0.518004 | − | 0.824398i | −0.480615 | − | 0.876931i | \(-0.659587\pi\) |
0.998619 | + | 0.0525333i | \(0.0167296\pi\) | |||||||
\(984\) | −3.12967e10 | + | 2.77766e11i | −0.0333825 | + | 0.296278i | ||||
\(985\) | 3.88862e10i | 0.0413095i | ||||||||
\(986\) | −7.90729e11 | − | 8.36502e11i | −0.836605 | − | 0.885033i | ||||
\(987\) | −1.63990e12 | −1.72802 | ||||||||
\(988\) | 1.77725e11 | + | 2.00248e10i | 0.186518 | + | 0.0210156i | ||||
\(989\) | 2.46128e11 | + | 1.54653e11i | 0.257262 | + | 0.161649i | ||||
\(990\) | −2.31997e10 | − | 5.29517e9i | −0.0241513 | − | 0.00551238i | ||||
\(991\) | −5.67449e11 | + | 4.52525e11i | −0.588345 | + | 0.469189i | −0.871844 | − | 0.489783i | \(-0.837076\pi\) |
0.283499 | + | 0.958972i | \(0.408505\pi\) | |||||||
\(992\) | 8.34742e11 | + | 6.65685e11i | 0.861997 | + | 0.687419i | ||||
\(993\) | −2.56262e11 | − | 1.12276e12i | −0.263565 | − | 1.15475i | ||||
\(994\) | −1.18905e12 | − | 4.16067e11i | −1.21802 | − | 0.426205i | ||||
\(995\) | −2.16829e10 | − | 4.50250e10i | −0.0221220 | − | 0.0459368i | ||||
\(996\) | 1.62070e11 | − | 1.01835e11i | 0.164689 | − | 0.103481i | ||||
\(997\) | 9.76187e10 | − | 3.41583e10i | 0.0987990 | − | 0.0345713i | −0.280427 | − | 0.959875i | \(-0.590476\pi\) |
0.379226 | + | 0.925304i | \(0.376190\pi\) | |||||||
\(998\) | 1.26703e12 | + | 1.26703e12i | 1.27722 | + | 1.27722i | ||||
\(999\) | 1.00761e11 | − | 2.09233e11i | 0.101165 | − | 0.210072i |
(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 | 29.9.f.a.2.16 | ✓ | 228 | |
29.15 | odd | 28 | inner | 29.9.f.a.15.16 | yes | 228 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
29.9.f.a.2.16 | ✓ | 228 | 1.1 | even | 1 | trivial | |
29.9.f.a.15.16 | yes | 228 | 29.15 | odd | 28 | inner |