Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,10,Mod(6,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4]))
N = Newforms(chi, 10, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.6");
S:= CuspForms(chi, 10);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 10 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.c (of order \(3\), degree \(2\), 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: | \(22.1465409550\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{3})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 6.17 | ||
Character | \(\chi\) | \(=\) | 43.6 |
Dual form | 43.10.c.a.36.17 |
$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.79962 | 0.0795326 | 0.0397663 | − | 0.999209i | \(-0.487339\pi\) | ||||
0.0397663 | + | 0.999209i | \(0.487339\pi\) | |||||||
\(3\) | −100.854 | + | 174.685i | −0.718867 | + | 1.24511i | 0.242582 | + | 0.970131i | \(0.422006\pi\) |
−0.961449 | + | 0.274984i | \(0.911328\pi\) | |||||||
\(4\) | −508.761 | −0.993675 | ||||||||
\(5\) | −371.655 | + | 643.725i | −0.265935 | + | 0.460612i | −0.967808 | − | 0.251689i | \(-0.919014\pi\) |
0.701873 | + | 0.712302i | \(0.252347\pi\) | |||||||
\(6\) | −181.499 | + | 314.366i | −0.0571734 | + | 0.0990272i | ||||
\(7\) | −4777.62 | − | 8275.08i | −0.752091 | − | 1.30266i | −0.946808 | − | 0.321800i | \(-0.895712\pi\) |
0.194717 | − | 0.980859i | \(-0.437621\pi\) | |||||||
\(8\) | −1836.98 | −0.158562 | ||||||||
\(9\) | −10501.7 | − | 18189.4i | −0.533540 | − | 0.924119i | ||||
\(10\) | −668.837 | + | 1158.46i | −0.0211505 | + | 0.0366337i | ||||
\(11\) | −90787.3 | −1.86964 | −0.934820 | − | 0.355123i | \(-0.884439\pi\) | ||||
−0.934820 | + | 0.355123i | \(0.884439\pi\) | |||||||
\(12\) | 51310.8 | − | 88872.8i | 0.714320 | − | 1.23724i | ||||
\(13\) | 70075.7 | + | 121375.i | 0.680491 | + | 1.17865i | 0.974831 | + | 0.222944i | \(0.0715668\pi\) |
−0.294340 | + | 0.955701i | \(0.595100\pi\) | |||||||
\(14\) | −8597.88 | − | 14892.0i | −0.0598157 | − | 0.103604i | ||||
\(15\) | −74966.0 | − | 129845.i | −0.382344 | − | 0.662238i | ||||
\(16\) | 257180. | 0.981064 | ||||||||
\(17\) | 54843.8 | + | 94992.3i | 0.159260 | + | 0.275847i | 0.934602 | − | 0.355695i | \(-0.115756\pi\) |
−0.775342 | + | 0.631542i | \(0.782422\pi\) | |||||||
\(18\) | −18899.0 | − | 32734.0i | −0.0424338 | − | 0.0734975i | ||||
\(19\) | −91420.6 | + | 158345.i | −0.160936 | + | 0.278749i | −0.935205 | − | 0.354108i | \(-0.884785\pi\) |
0.774269 | + | 0.632857i | \(0.218118\pi\) | |||||||
\(20\) | 189084. | − | 327503.i | 0.264253 | − | 0.457699i | ||||
\(21\) | 1.92737e6 | 2.16261 | ||||||||
\(22\) | −163382. | −0.148697 | ||||||||
\(23\) | −432097. | + | 748415.i | −0.321963 | + | 0.557657i | −0.980893 | − | 0.194548i | \(-0.937676\pi\) |
0.658930 | + | 0.752205i | \(0.271009\pi\) | |||||||
\(24\) | 185267. | − | 320892.i | 0.113985 | − | 0.197428i | ||||
\(25\) | 700307. | + | 1.21297e6i | 0.358557 | + | 0.621040i | ||||
\(26\) | 126109. | + | 218428.i | 0.0541212 | + | 0.0937407i | ||||
\(27\) | 266325. | 0.0964439 | ||||||||
\(28\) | 2.43067e6 | + | 4.21004e6i | 0.747333 | + | 1.29442i | ||||
\(29\) | −2.36213e6 | − | 4.09134e6i | −0.620174 | − | 1.07417i | −0.989453 | − | 0.144854i | \(-0.953729\pi\) |
0.369279 | − | 0.929319i | \(-0.379605\pi\) | |||||||
\(30\) | −134910. | − | 233671.i | −0.0304088 | − | 0.0526695i | ||||
\(31\) | 305225. | − | 528665.i | 0.0593598 | − | 0.102814i | −0.834818 | − | 0.550525i | \(-0.814427\pi\) |
0.894178 | + | 0.447711i | \(0.147761\pi\) | |||||||
\(32\) | 1.40336e6 | 0.236589 | ||||||||
\(33\) | 9.15628e6 | − | 1.58591e7i | 1.34402 | − | 2.32792i | ||||
\(34\) | 98697.8 | + | 170950.i | 0.0126664 | + | 0.0219388i | ||||
\(35\) | 7.10250e6 | 0.800028 | ||||||||
\(36\) | 5.34285e6 | + | 9.25408e6i | 0.530165 | + | 0.918273i | ||||
\(37\) | 6.11112e6 | − | 1.05848e7i | 0.536060 | − | 0.928483i | −0.463052 | − | 0.886331i | \(-0.653246\pi\) |
0.999111 | − | 0.0421513i | \(-0.0134211\pi\) | |||||||
\(38\) | −164522. | + | 284961.i | −0.0127996 | + | 0.0221696i | ||||
\(39\) | −2.82697e7 | −1.95673 | ||||||||
\(40\) | 682723. | − | 1.18251e6i | 0.0421672 | − | 0.0730357i | ||||
\(41\) | 1.72489e7 | 0.953308 | 0.476654 | − | 0.879091i | \(-0.341849\pi\) | ||||
0.476654 | + | 0.879091i | \(0.341849\pi\) | |||||||
\(42\) | 3.46853e6 | 0.171998 | ||||||||
\(43\) | −1.87110e7 | + | 1.23488e7i | −0.834619 | + | 0.550828i | ||||
\(44\) | 4.61891e7 | 1.85781 | ||||||||
\(45\) | 1.56120e7 | 0.567548 | ||||||||
\(46\) | −777610. | + | 1.34686e6i | −0.0256066 | + | 0.0443519i | ||||
\(47\) | 4.37638e7 | 1.30820 | 0.654101 | − | 0.756407i | \(-0.273047\pi\) | ||||
0.654101 | + | 0.756407i | \(0.273047\pi\) | |||||||
\(48\) | −2.59377e7 | + | 4.49254e7i | −0.705255 | + | 1.22154i | ||||
\(49\) | −2.54745e7 | + | 4.41231e7i | −0.631281 | + | 1.09341i | ||||
\(50\) | 1.26028e6 | + | 2.18288e6i | 0.0285170 | + | 0.0493929i | ||||
\(51\) | −2.21249e7 | −0.457948 | ||||||||
\(52\) | −3.56518e7 | − | 6.17508e7i | −0.676187 | − | 1.17119i | ||||
\(53\) | 6.47355e6 | − | 1.12125e7i | 0.112694 | − | 0.195192i | −0.804162 | − | 0.594411i | \(-0.797385\pi\) |
0.916856 | + | 0.399219i | \(0.130719\pi\) | |||||||
\(54\) | 479282. | 0.00767043 | ||||||||
\(55\) | 3.37415e7 | − | 5.84421e7i | 0.497202 | − | 0.861179i | ||||
\(56\) | 8.77638e6 | + | 1.52011e7i | 0.119253 | + | 0.206552i | ||||
\(57\) | −1.84403e7 | − | 3.19396e7i | −0.231383 | − | 0.400767i | ||||
\(58\) | −4.25094e6 | − | 7.36284e6i | −0.0493240 | − | 0.0854317i | ||||
\(59\) | −3.13262e7 | −0.336568 | −0.168284 | − | 0.985739i | \(-0.553823\pi\) | ||||
−0.168284 | + | 0.985739i | \(0.553823\pi\) | |||||||
\(60\) | 3.81398e7 | + | 6.60601e7i | 0.379925 | + | 0.658049i | ||||
\(61\) | −5.12049e7 | − | 8.86895e7i | −0.473508 | − | 0.820140i | 0.526032 | − | 0.850465i | \(-0.323679\pi\) |
−0.999540 | + | 0.0303245i | \(0.990346\pi\) | |||||||
\(62\) | 549287. | − | 951394.i | 0.00472103 | − | 0.00817707i | ||||
\(63\) | −1.00346e8 | + | 1.73804e8i | −0.802541 | + | 1.39004i | ||||
\(64\) | −1.29151e8 | −0.962247 | ||||||||
\(65\) | −1.04176e8 | −0.723865 | ||||||||
\(66\) | 1.64778e7 | − | 2.85404e7i | 0.106894 | − | 0.185145i | ||||
\(67\) | −3.17175e7 | + | 5.49364e7i | −0.192293 | + | 0.333061i | −0.946010 | − | 0.324138i | \(-0.894926\pi\) |
0.753717 | + | 0.657199i | \(0.228259\pi\) | |||||||
\(68\) | −2.79024e7 | − | 4.83284e7i | −0.158253 | − | 0.274102i | ||||
\(69\) | −8.71578e7 | − | 1.50962e8i | −0.462898 | − | 0.801763i | ||||
\(70\) | 1.27818e7 | 0.0636283 | ||||||||
\(71\) | −1.73624e8 | − | 3.00725e8i | −0.810860 | − | 1.40445i | −0.912263 | − | 0.409606i | \(-0.865666\pi\) |
0.101403 | − | 0.994845i | \(-0.467667\pi\) | |||||||
\(72\) | 1.92914e7 | + | 3.34136e7i | 0.0845992 | + | 0.146530i | ||||
\(73\) | 5.04976e7 | + | 8.74645e7i | 0.208122 | + | 0.360478i | 0.951123 | − | 0.308812i | \(-0.0999315\pi\) |
−0.743001 | + | 0.669290i | \(0.766598\pi\) | |||||||
\(74\) | 1.09977e7 | − | 1.90485e7i | 0.0426342 | − | 0.0738446i | ||||
\(75\) | −2.82516e8 | −1.03102 | ||||||||
\(76\) | 4.65113e7 | − | 8.05599e7i | 0.159918 | − | 0.276986i | ||||
\(77\) | 4.33747e8 | + | 7.51272e8i | 1.40614 | + | 2.43550i | ||||
\(78\) | −5.08747e7 | −0.155624 | ||||||||
\(79\) | 2.05457e8 | + | 3.55863e8i | 0.593471 | + | 1.02792i | 0.993761 | + | 0.111534i | \(0.0355763\pi\) |
−0.400289 | + | 0.916389i | \(0.631090\pi\) | |||||||
\(80\) | −9.55822e7 | + | 1.65553e8i | −0.260899 | + | 0.451890i | ||||
\(81\) | 1.79844e8 | − | 3.11500e8i | 0.464210 | − | 0.804035i | ||||
\(82\) | 3.10414e7 | 0.0758190 | ||||||||
\(83\) | −1.54309e8 | + | 2.67272e8i | −0.356896 | + | 0.618161i | −0.987440 | − | 0.157991i | \(-0.949498\pi\) |
0.630545 | + | 0.776153i | \(0.282831\pi\) | |||||||
\(84\) | −9.80573e8 | −2.14893 | ||||||||
\(85\) | −8.15319e7 | −0.169411 | ||||||||
\(86\) | −3.36726e7 | + | 2.22231e7i | −0.0663794 | + | 0.0438088i | ||||
\(87\) | 9.52925e8 | 1.78329 | ||||||||
\(88\) | 1.66774e8 | 0.296454 | ||||||||
\(89\) | 2.81540e8 | − | 4.87641e8i | 0.475647 | − | 0.823844i | −0.523964 | − | 0.851740i | \(-0.675547\pi\) |
0.999611 | + | 0.0278960i | \(0.00888073\pi\) | |||||||
\(90\) | 2.80956e7 | 0.0451385 | ||||||||
\(91\) | 6.69590e8 | − | 1.15976e9i | 1.02358 | − | 1.77290i | ||||
\(92\) | 2.19835e8 | − | 3.80765e8i | 0.319927 | − | 0.554130i | ||||
\(93\) | 6.15664e7 | + | 1.06636e8i | 0.0853436 | + | 0.147819i | ||||
\(94\) | 7.87581e7 | 0.104045 | ||||||||
\(95\) | −6.79539e7 | − | 1.17700e8i | −0.0855969 | − | 0.148258i | ||||
\(96\) | −1.41535e8 | + | 2.45145e8i | −0.170076 | + | 0.294580i | ||||
\(97\) | 5.14501e8 | 0.590084 | 0.295042 | − | 0.955484i | \(-0.404666\pi\) | ||||
0.295042 | + | 0.955484i | \(0.404666\pi\) | |||||||
\(98\) | −4.58443e7 | + | 7.94046e7i | −0.0502074 | + | 0.0869617i | ||||
\(99\) | 9.53418e8 | + | 1.65137e9i | 0.997528 | + | 1.72777i | ||||
\(100\) | −3.56289e8 | − | 6.17111e8i | −0.356289 | − | 0.617111i | ||||
\(101\) | −9.18818e8 | − | 1.59144e9i | −0.878584 | − | 1.52175i | −0.852895 | − | 0.522082i | \(-0.825156\pi\) |
−0.0256885 | − | 0.999670i | \(-0.508178\pi\) | |||||||
\(102\) | −3.98164e7 | −0.0364218 | ||||||||
\(103\) | −3.54468e8 | − | 6.13956e8i | −0.310320 | − | 0.537490i | 0.668112 | − | 0.744061i | \(-0.267103\pi\) |
−0.978432 | + | 0.206571i | \(0.933769\pi\) | |||||||
\(104\) | −1.28728e8 | − | 2.22963e8i | −0.107900 | − | 0.186888i | ||||
\(105\) | −7.16318e8 | + | 1.24070e9i | −0.575114 | + | 0.996127i | ||||
\(106\) | 1.16499e7 | − | 2.01782e7i | 0.00896286 | − | 0.0155241i | ||||
\(107\) | 1.43343e9 | 1.05718 | 0.528591 | − | 0.848877i | \(-0.322721\pi\) | ||||
0.528591 | + | 0.848877i | \(0.322721\pi\) | |||||||
\(108\) | −1.35496e8 | −0.0958338 | ||||||||
\(109\) | −7.20533e8 | + | 1.24800e9i | −0.488917 | + | 0.846828i | −0.999919 | − | 0.0127511i | \(-0.995941\pi\) |
0.511002 | + | 0.859579i | \(0.329274\pi\) | |||||||
\(110\) | 6.07218e7 | − | 1.05173e8i | 0.0395438 | − | 0.0684918i | ||||
\(111\) | 1.23267e9 | + | 2.13504e9i | 0.770711 | + | 1.33491i | ||||
\(112\) | −1.22871e9 | − | 2.12818e9i | −0.737849 | − | 1.27799i | ||||
\(113\) | 1.58269e9 | 0.913152 | 0.456576 | − | 0.889684i | \(-0.349076\pi\) | ||||
0.456576 | + | 0.889684i | \(0.349076\pi\) | |||||||
\(114\) | −3.31855e7 | − | 5.74790e7i | −0.0184025 | − | 0.0318741i | ||||
\(115\) | −3.21182e8 | − | 5.56304e8i | −0.171242 | − | 0.296601i | ||||
\(116\) | 1.20176e9 | + | 2.08151e9i | 0.616251 | + | 1.06738i | ||||
\(117\) | 1.47182e9 | − | 2.54927e9i | 0.726139 | − | 1.25771i | ||||
\(118\) | −5.63751e7 | −0.0267681 | ||||||||
\(119\) | 5.24046e8 | − | 9.07673e8i | 0.239556 | − | 0.414924i | ||||
\(120\) | 1.37711e8 | + | 2.38522e8i | 0.0606252 | + | 0.105006i | ||||
\(121\) | 5.88438e9 | 2.49555 | ||||||||
\(122\) | −9.21492e7 | − | 1.59607e8i | −0.0376593 | − | 0.0652279i | ||||
\(123\) | −1.73962e9 | + | 3.01311e9i | −0.685302 | + | 1.18698i | ||||
\(124\) | −1.55287e8 | + | 2.68964e8i | −0.0589843 | + | 0.102164i | ||||
\(125\) | −2.49287e9 | −0.913281 | ||||||||
\(126\) | −1.80584e8 | + | 3.12781e8i | −0.0638282 | + | 0.110554i | ||||
\(127\) | −4.91530e9 | −1.67662 | −0.838308 | − | 0.545198i | \(-0.816455\pi\) | ||||
−0.838308 | + | 0.545198i | \(0.816455\pi\) | |||||||
\(128\) | −9.50941e8 | −0.313119 | ||||||||
\(129\) | −2.70065e8 | − | 4.51395e9i | −0.0858646 | − | 1.43517i | ||||
\(130\) | −1.87477e8 | −0.0575708 | ||||||||
\(131\) | 3.28003e9 | 0.973098 | 0.486549 | − | 0.873653i | \(-0.338256\pi\) | ||||
0.486549 | + | 0.873653i | \(0.338256\pi\) | |||||||
\(132\) | −4.65836e9 | + | 8.06852e9i | −1.33552 | + | 2.31319i | ||||
\(133\) | 1.74709e9 | 0.484154 | ||||||||
\(134\) | −5.70794e7 | + | 9.88644e7i | −0.0152935 | + | 0.0264892i | ||||
\(135\) | −9.89809e7 | + | 1.71440e8i | −0.0256478 | + | 0.0444232i | ||||
\(136\) | −1.00747e8 | − | 1.74499e8i | −0.0252526 | − | 0.0437389i | ||||
\(137\) | −4.30090e8 | −0.104308 | −0.0521539 | − | 0.998639i | \(-0.516609\pi\) | ||||
−0.0521539 | + | 0.998639i | \(0.516609\pi\) | |||||||
\(138\) | −1.56851e8 | − | 2.71673e8i | −0.0368155 | − | 0.0637662i | ||||
\(139\) | 2.28414e9 | − | 3.95625e9i | 0.518986 | − | 0.898911i | −0.480770 | − | 0.876847i | \(-0.659643\pi\) |
0.999757 | − | 0.0220641i | \(-0.00702380\pi\) | |||||||
\(140\) | −3.61348e9 | −0.794968 | ||||||||
\(141\) | −4.41377e9 | + | 7.64487e9i | −0.940424 | + | 1.62886i | ||||
\(142\) | −3.12456e8 | − | 5.41189e8i | −0.0644898 | − | 0.111700i | ||||
\(143\) | −6.36198e9 | − | 1.10193e10i | −1.27227 | − | 2.20364i | ||||
\(144\) | −2.70082e9 | − | 4.67796e9i | −0.523437 | − | 0.906619i | ||||
\(145\) | 3.51160e9 | 0.659703 | ||||||||
\(146\) | 9.08764e7 | + | 1.57403e8i | 0.0165525 | + | 0.0286698i | ||||
\(147\) | −5.13842e9 | − | 8.90000e9i | −0.907614 | − | 1.57203i | ||||
\(148\) | −3.10910e9 | + | 5.38512e9i | −0.532669 | + | 0.922610i | ||||
\(149\) | −1.92619e9 | + | 3.33626e9i | −0.320156 | + | 0.554527i | −0.980520 | − | 0.196419i | \(-0.937069\pi\) |
0.660364 | + | 0.750946i | \(0.270402\pi\) | |||||||
\(150\) | −5.08421e8 | −0.0819997 | ||||||||
\(151\) | −1.21388e10 | −1.90012 | −0.950059 | − | 0.312071i | \(-0.898977\pi\) | ||||
−0.950059 | + | 0.312071i | \(0.898977\pi\) | |||||||
\(152\) | 1.67938e8 | − | 2.90877e8i | 0.0255183 | − | 0.0441991i | ||||
\(153\) | 1.15190e9 | − | 1.99516e9i | 0.169944 | − | 0.294351i | ||||
\(154\) | 7.80578e8 | + | 1.35200e9i | 0.111834 | + | 0.193702i | ||||
\(155\) | 2.26877e8 | + | 3.92962e8i | 0.0315716 | + | 0.0546837i | ||||
\(156\) | 1.43826e10 | 1.94435 | ||||||||
\(157\) | 4.24066e9 | + | 7.34505e9i | 0.557039 | + | 0.964820i | 0.997742 | + | 0.0671666i | \(0.0213959\pi\) |
−0.440703 | + | 0.897653i | \(0.645271\pi\) | |||||||
\(158\) | 3.69744e8 | + | 6.40416e8i | 0.0472003 | + | 0.0817533i | ||||
\(159\) | 1.30577e9 | + | 2.26166e9i | 0.162024 | + | 0.280634i | ||||
\(160\) | −5.21565e8 | + | 9.03378e8i | −0.0629171 | + | 0.108976i | ||||
\(161\) | 8.25759e9 | 0.968583 | ||||||||
\(162\) | 3.23651e8 | − | 5.60580e8i | 0.0369198 | − | 0.0639470i | ||||
\(163\) | 7.03474e9 | + | 1.21845e10i | 0.780556 | + | 1.35196i | 0.931618 | + | 0.363438i | \(0.118397\pi\) |
−0.151062 | + | 0.988524i | \(0.548269\pi\) | |||||||
\(164\) | −8.77556e9 | −0.947278 | ||||||||
\(165\) | 6.80596e9 | + | 1.17883e10i | 0.714844 | + | 1.23815i | ||||
\(166\) | −2.77698e8 | + | 4.80987e8i | −0.0283848 | + | 0.0491640i | ||||
\(167\) | 8.34850e9 | − | 1.44600e10i | 0.830586 | − | 1.43862i | −0.0669887 | − | 0.997754i | \(-0.521339\pi\) |
0.897574 | − | 0.440863i | \(-0.145328\pi\) | |||||||
\(168\) | −3.54054e9 | −0.342908 | ||||||||
\(169\) | −4.51896e9 | + | 7.82707e9i | −0.426136 | + | 0.738090i | ||||
\(170\) | −1.46726e8 | −0.0134737 | ||||||||
\(171\) | 3.84028e9 | 0.343463 | ||||||||
\(172\) | 9.51941e9 | − | 6.28259e9i | 0.829339 | − | 0.547344i | ||||
\(173\) | 2.15678e9 | 0.183062 | 0.0915311 | − | 0.995802i | \(-0.470824\pi\) | ||||
0.0915311 | + | 0.995802i | \(0.470824\pi\) | |||||||
\(174\) | 1.71490e9 | 0.141830 | ||||||||
\(175\) | 6.69160e9 | − | 1.15902e10i | 0.539335 | − | 0.934156i | ||||
\(176\) | −2.33487e10 | −1.83424 | ||||||||
\(177\) | 3.15938e9 | − | 5.47220e9i | 0.241948 | − | 0.419066i | ||||
\(178\) | 5.06663e8 | − | 8.77567e8i | 0.0378294 | − | 0.0655225i | ||||
\(179\) | −2.92312e9 | − | 5.06300e9i | −0.212818 | − | 0.368612i | 0.739777 | − | 0.672852i | \(-0.234931\pi\) |
−0.952595 | + | 0.304240i | \(0.901597\pi\) | |||||||
\(180\) | −7.94278e9 | −0.563958 | ||||||||
\(181\) | 8.84208e9 | + | 1.53149e10i | 0.612352 | + | 1.06062i | 0.990843 | + | 0.135019i | \(0.0431096\pi\) |
−0.378491 | + | 0.925605i | \(0.623557\pi\) | |||||||
\(182\) | 1.20501e9 | − | 2.08713e9i | 0.0814081 | − | 0.141003i | ||||
\(183\) | 2.06569e10 | 1.36156 | ||||||||
\(184\) | 7.93754e8 | − | 1.37482e9i | 0.0510512 | − | 0.0884232i | ||||
\(185\) | 4.54246e9 | + | 7.86777e9i | 0.285114 | + | 0.493832i | ||||
\(186\) | 1.10796e8 | + | 1.91904e8i | 0.00678759 | + | 0.0117565i | ||||
\(187\) | −4.97912e9 | − | 8.62409e9i | −0.297759 | − | 0.515734i | ||||
\(188\) | −2.22653e10 | −1.29993 | ||||||||
\(189\) | −1.27240e9 | − | 2.20386e9i | −0.0725345 | − | 0.125633i | ||||
\(190\) | −1.22291e8 | − | 2.11814e8i | −0.00680774 | − | 0.0117914i | ||||
\(191\) | 4.14251e9 | − | 7.17504e9i | 0.225224 | − | 0.390099i | −0.731163 | − | 0.682203i | \(-0.761022\pi\) |
0.956386 | + | 0.292104i | \(0.0943554\pi\) | |||||||
\(192\) | 1.30254e10 | − | 2.25606e10i | 0.691728 | − | 1.19811i | ||||
\(193\) | −1.56419e10 | −0.811490 | −0.405745 | − | 0.913986i | \(-0.632988\pi\) | ||||
−0.405745 | + | 0.913986i | \(0.632988\pi\) | |||||||
\(194\) | 9.25905e8 | 0.0469309 | ||||||||
\(195\) | 1.05066e10 | − | 1.81980e10i | 0.520363 | − | 0.901295i | ||||
\(196\) | 1.29604e10 | − | 2.24481e10i | 0.627288 | − | 1.08649i | ||||
\(197\) | 1.43688e10 | + | 2.48875e10i | 0.679708 | + | 1.17729i | 0.975069 | + | 0.221903i | \(0.0712268\pi\) |
−0.295361 | + | 0.955386i | \(0.595440\pi\) | |||||||
\(198\) | 1.71579e9 | + | 2.97183e9i | 0.0793359 | + | 0.137414i | ||||
\(199\) | −2.17991e10 | −0.985369 | −0.492684 | − | 0.870208i | \(-0.663984\pi\) | ||||
−0.492684 | + | 0.870208i | \(0.663984\pi\) | |||||||
\(200\) | −1.28645e9 | − | 2.22820e9i | −0.0568536 | − | 0.0984733i | ||||
\(201\) | −6.39770e9 | − | 1.10811e10i | −0.276466 | − | 0.478853i | ||||
\(202\) | −1.65352e9 | − | 2.86398e9i | −0.0698760 | − | 0.121029i | ||||
\(203\) | −2.25707e10 | + | 3.90937e10i | −0.932854 | + | 1.61575i | ||||
\(204\) | 1.12563e10 | 0.455051 | ||||||||
\(205\) | −6.41063e9 | + | 1.11035e10i | −0.253518 | + | 0.439106i | ||||
\(206\) | −6.37906e8 | − | 1.10489e9i | −0.0246805 | − | 0.0427479i | ||||
\(207\) | 1.81510e10 | 0.687122 | ||||||||
\(208\) | 1.80221e10 | + | 3.12151e10i | 0.667605 | + | 1.15633i | ||||
\(209\) | 8.29983e9 | − | 1.43757e10i | 0.300892 | − | 0.521160i | ||||
\(210\) | −1.28910e9 | + | 2.23278e9i | −0.0457403 | + | 0.0792245i | ||||
\(211\) | 3.04854e10 | 1.05882 | 0.529408 | − | 0.848367i | \(-0.322414\pi\) | ||||
0.529408 | + | 0.848367i | \(0.322414\pi\) | |||||||
\(212\) | −3.29349e9 | + | 5.70450e9i | −0.111981 | + | 0.193957i | ||||
\(213\) | 7.00427e10 | 2.33160 | ||||||||
\(214\) | 2.57962e9 | 0.0840803 | ||||||||
\(215\) | −9.95207e8 | − | 1.66342e10i | −0.0317644 | − | 0.530920i | ||||
\(216\) | −4.89233e8 | −0.0152923 | ||||||||
\(217\) | −5.83299e9 | −0.178576 | ||||||||
\(218\) | −1.29668e9 | + | 2.24592e9i | −0.0388848 | + | 0.0673504i | ||||
\(219\) | −2.03716e10 | −0.598449 | ||||||||
\(220\) | −1.71664e10 | + | 2.97331e10i | −0.494057 | + | 0.855732i | ||||
\(221\) | −7.68644e9 | + | 1.33133e10i | −0.216750 | + | 0.375423i | ||||
\(222\) | 2.21833e9 | + | 3.84225e9i | 0.0612967 | + | 0.106169i | ||||
\(223\) | −4.04183e10 | −1.09448 | −0.547238 | − | 0.836977i | \(-0.684321\pi\) | ||||
−0.547238 | + | 0.836977i | \(0.684321\pi\) | |||||||
\(224\) | −6.70471e9 | − | 1.16129e10i | −0.177936 | − | 0.308194i | ||||
\(225\) | 1.47088e10 | − | 2.54764e10i | 0.382610 | − | 0.662699i | ||||
\(226\) | 2.84824e9 | 0.0726253 | ||||||||
\(227\) | 2.68919e10 | − | 4.65782e10i | 0.672211 | − | 1.16430i | −0.305065 | − | 0.952332i | \(-0.598678\pi\) |
0.977276 | − | 0.211972i | \(-0.0679886\pi\) | |||||||
\(228\) | 9.38173e9 | + | 1.62496e10i | 0.229920 | + | 0.398232i | ||||
\(229\) | 1.53757e10 | + | 2.66315e10i | 0.369466 | + | 0.639934i | 0.989482 | − | 0.144655i | \(-0.0462072\pi\) |
−0.620016 | + | 0.784589i | \(0.712874\pi\) | |||||||
\(230\) | −5.78005e8 | − | 1.00113e9i | −0.0136194 | − | 0.0235894i | ||||
\(231\) | −1.74981e11 | −4.04331 | ||||||||
\(232\) | 4.33919e9 | + | 7.51570e9i | 0.0983361 | + | 0.170323i | ||||
\(233\) | −5.62090e9 | − | 9.73569e9i | −0.124941 | − | 0.216404i | 0.796769 | − | 0.604284i | \(-0.206541\pi\) |
−0.921710 | + | 0.387880i | \(0.873207\pi\) | |||||||
\(234\) | 2.64872e9 | − | 4.58772e9i | 0.0577517 | − | 0.100029i | ||||
\(235\) | −1.62650e10 | + | 2.81719e10i | −0.347896 | + | 0.602574i | ||||
\(236\) | 1.59375e10 | 0.334439 | ||||||||
\(237\) | −8.28850e10 | −1.70651 | ||||||||
\(238\) | 9.43081e8 | − | 1.63346e9i | 0.0190525 | − | 0.0330000i | ||||
\(239\) | −3.21332e10 | + | 5.56563e10i | −0.637035 | + | 1.10338i | 0.349045 | + | 0.937106i | \(0.386506\pi\) |
−0.986080 | + | 0.166271i | \(0.946827\pi\) | |||||||
\(240\) | −1.92798e10 | − | 3.33935e10i | −0.375103 | − | 0.649698i | ||||
\(241\) | −1.38185e10 | − | 2.39343e10i | −0.263866 | − | 0.457029i | 0.703400 | − | 0.710794i | \(-0.251664\pi\) |
−0.967266 | + | 0.253765i | \(0.918331\pi\) | |||||||
\(242\) | 1.05896e10 | 0.198478 | ||||||||
\(243\) | 3.88972e10 | + | 6.73719e10i | 0.715632 | + | 1.23951i | ||||
\(244\) | 2.60511e10 | + | 4.51218e10i | 0.470513 | + | 0.814953i | ||||
\(245\) | −1.89354e10 | − | 3.27971e10i | −0.335759 | − | 0.581552i | ||||
\(246\) | −3.13065e9 | + | 5.42245e9i | −0.0545038 | + | 0.0944034i | ||||
\(247\) | −2.56255e10 | −0.438062 | ||||||||
\(248\) | −5.60691e8 | + | 9.71146e8i | −0.00941220 | + | 0.0163024i | ||||
\(249\) | −3.11255e10 | − | 5.39110e10i | −0.513121 | − | 0.888752i | ||||
\(250\) | −4.48621e9 | −0.0726356 | ||||||||
\(251\) | −1.87460e10 | − | 3.24690e10i | −0.298110 | − | 0.516342i | 0.677593 | − | 0.735437i | \(-0.263023\pi\) |
−0.975704 | + | 0.219095i | \(0.929690\pi\) | |||||||
\(252\) | 5.10521e10 | − | 8.84249e10i | 0.797465 | − | 1.38125i | ||||
\(253\) | 3.92289e10 | − | 6.79465e10i | 0.601955 | − | 1.04262i | ||||
\(254\) | −8.84566e9 | −0.133345 | ||||||||
\(255\) | 8.22284e9 | − | 1.42424e10i | 0.121784 | − | 0.210937i | ||||
\(256\) | 6.44138e10 | 0.937344 | ||||||||
\(257\) | −9.88757e9 | −0.141381 | −0.0706904 | − | 0.997498i | \(-0.522520\pi\) | ||||
−0.0706904 | + | 0.997498i | \(0.522520\pi\) | |||||||
\(258\) | −4.86013e8 | − | 8.12337e9i | −0.00682903 | − | 0.114143i | ||||
\(259\) | −1.16786e11 | −1.61266 | ||||||||
\(260\) | 5.30007e10 | 0.719286 | ||||||||
\(261\) | −4.96127e10 | + | 8.59317e10i | −0.661776 | + | 1.14623i | ||||
\(262\) | 5.90279e9 | 0.0773930 | ||||||||
\(263\) | 4.09698e10 | − | 7.09617e10i | 0.528035 | − | 0.914583i | −0.471431 | − | 0.881903i | \(-0.656262\pi\) |
0.999466 | − | 0.0326804i | \(-0.0104044\pi\) | |||||||
\(264\) | −1.68199e10 | + | 2.91329e10i | −0.213111 | + | 0.369119i | ||||
\(265\) | 4.81186e9 | + | 8.33438e9i | 0.0599386 | + | 0.103817i | ||||
\(266\) | 3.14409e9 | 0.0385060 | ||||||||
\(267\) | 5.67890e10 | + | 9.83614e10i | 0.683854 | + | 1.18447i | ||||
\(268\) | 1.61367e10 | − | 2.79495e10i | 0.191076 | − | 0.330954i | ||||
\(269\) | −9.02915e10 | −1.05138 | −0.525692 | − | 0.850675i | \(-0.676194\pi\) | ||||
−0.525692 | + | 0.850675i | \(0.676194\pi\) | |||||||
\(270\) | −1.78128e8 | + | 3.08526e8i | −0.00203983 | + | 0.00353309i | ||||
\(271\) | 1.85305e10 | + | 3.20957e10i | 0.208701 | + | 0.361481i | 0.951306 | − | 0.308249i | \(-0.0997432\pi\) |
−0.742605 | + | 0.669730i | \(0.766410\pi\) | |||||||
\(272\) | 1.41047e10 | + | 2.44301e10i | 0.156244 | + | 0.270623i | ||||
\(273\) | 1.35062e11 | + | 2.33934e11i | 1.47164 | + | 2.54895i | ||||
\(274\) | −7.73997e8 | −0.00829587 | ||||||||
\(275\) | −6.35790e10 | − | 1.10122e11i | −0.670373 | − | 1.16112i | ||||
\(276\) | 4.43425e10 | + | 7.68035e10i | 0.459970 | + | 0.796691i | ||||
\(277\) | 8.99531e10 | − | 1.55803e11i | 0.918031 | − | 1.59008i | 0.115629 | − | 0.993293i | \(-0.463112\pi\) |
0.802402 | − | 0.596784i | \(-0.203555\pi\) | |||||||
\(278\) | 4.11057e9 | − | 7.11972e9i | 0.0412763 | − | 0.0714927i | ||||
\(279\) | −1.28215e10 | −0.126683 | ||||||||
\(280\) | −1.30472e10 | −0.126854 | ||||||||
\(281\) | 6.02588e10 | − | 1.04371e11i | 0.576556 | − | 0.998625i | −0.419314 | − | 0.907841i | \(-0.637729\pi\) |
0.995871 | − | 0.0907839i | \(-0.0289373\pi\) | |||||||
\(282\) | −7.94309e9 | + | 1.37578e10i | −0.0747943 | + | 0.129548i | ||||
\(283\) | 8.52548e10 | + | 1.47666e11i | 0.790096 | + | 1.36849i | 0.925907 | + | 0.377752i | \(0.123303\pi\) |
−0.135810 | + | 0.990735i | \(0.543364\pi\) | |||||||
\(284\) | 8.83329e10 | + | 1.52997e11i | 0.805731 | + | 1.39557i | ||||
\(285\) | 2.74138e10 | 0.246131 | ||||||||
\(286\) | −1.14491e10 | − | 1.98305e10i | −0.101187 | − | 0.175261i | ||||
\(287\) | −8.24085e10 | − | 1.42736e11i | −0.716974 | − | 1.24184i | ||||
\(288\) | −1.47376e10 | − | 2.55263e10i | −0.126230 | − | 0.218636i | ||||
\(289\) | 5.32783e10 | − | 9.22806e10i | 0.449272 | − | 0.778162i | ||||
\(290\) | 6.31953e9 | 0.0524679 | ||||||||
\(291\) | −5.18897e10 | + | 8.98755e10i | −0.424192 | + | 0.734722i | ||||
\(292\) | −2.56913e10 | − | 4.44986e10i | −0.206806 | − | 0.358198i | ||||
\(293\) | −1.43952e11 | −1.14107 | −0.570536 | − | 0.821272i | \(-0.693265\pi\) | ||||
−0.570536 | + | 0.821272i | \(0.693265\pi\) | |||||||
\(294\) | −9.24718e9 | − | 1.60166e10i | −0.0721849 | − | 0.125028i | ||||
\(295\) | 1.16425e10 | − | 2.01654e10i | 0.0895052 | − | 0.155028i | ||||
\(296\) | −1.12260e10 | + | 1.94440e10i | −0.0849987 | + | 0.147222i | ||||
\(297\) | −2.41789e10 | −0.180315 | ||||||||
\(298\) | −3.46641e9 | + | 6.00400e9i | −0.0254628 | + | 0.0441029i | ||||
\(299\) | −1.21118e11 | −0.876373 | ||||||||
\(300\) | 1.43733e11 | 1.02450 | ||||||||
\(301\) | 1.91581e11 | + | 9.58368e10i | 1.34525 | + | 0.672951i | ||||
\(302\) | −2.18452e10 | −0.151121 | ||||||||
\(303\) | 3.70667e11 | 2.52634 | ||||||||
\(304\) | −2.35116e10 | + | 4.07232e10i | −0.157888 | + | 0.273471i | ||||
\(305\) | 7.61223e10 | 0.503689 | ||||||||
\(306\) | 2.07298e9 | − | 3.59051e9i | 0.0135160 | − | 0.0234105i | ||||
\(307\) | 6.07117e10 | − | 1.05156e11i | 0.390077 | − | 0.675633i | −0.602383 | − | 0.798207i | \(-0.705782\pi\) |
0.992459 | + | 0.122575i | \(0.0391152\pi\) | |||||||
\(308\) | −2.20674e11 | − | 3.82218e11i | −1.39724 | − | 2.42010i | ||||
\(309\) | 1.42998e11 | 0.892315 | ||||||||
\(310\) | 4.08291e8 | + | 7.07181e8i | 0.00251097 | + | 0.00434913i | ||||
\(311\) | −3.74984e8 | + | 6.49492e8i | −0.00227296 | + | 0.00393688i | −0.867160 | − | 0.498030i | \(-0.834057\pi\) |
0.864887 | + | 0.501967i | \(0.167390\pi\) | |||||||
\(312\) | 5.19309e10 | 0.310263 | ||||||||
\(313\) | −1.85064e10 | + | 3.20541e10i | −0.108987 | + | 0.188770i | −0.915360 | − | 0.402636i | \(-0.868094\pi\) |
0.806373 | + | 0.591407i | \(0.201427\pi\) | |||||||
\(314\) | 7.63157e9 | + | 1.32183e10i | 0.0443027 | + | 0.0767346i | ||||
\(315\) | −7.45882e10 | − | 1.29190e11i | −0.426847 | − | 0.739321i | ||||
\(316\) | −1.04529e11 | − | 1.81049e11i | −0.589717 | − | 1.02142i | ||||
\(317\) | −1.75299e11 | −0.975019 | −0.487510 | − | 0.873118i | \(-0.662095\pi\) | ||||
−0.487510 | + | 0.873118i | \(0.662095\pi\) | |||||||
\(318\) | 2.34989e9 | + | 4.07013e9i | 0.0128862 | + | 0.0223196i | ||||
\(319\) | 2.14452e11 | + | 3.71441e11i | 1.15950 | + | 2.00832i | ||||
\(320\) | 4.79995e10 | − | 8.31376e10i | 0.255895 | − | 0.443223i | ||||
\(321\) | −1.44568e11 | + | 2.50398e11i | −0.759973 | + | 1.31631i | ||||
\(322\) | 1.48605e10 | 0.0770339 | ||||||||
\(323\) | −2.00554e10 | −0.102523 | ||||||||
\(324\) | −9.14979e10 | + | 1.58479e11i | −0.461274 | + | 0.798949i | ||||
\(325\) | −9.81491e10 | + | 1.69999e11i | −0.487990 | + | 0.845224i | ||||
\(326\) | 1.26598e10 | + | 2.19275e10i | 0.0620796 | + | 0.107525i | ||||
\(327\) | −1.45338e11 | − | 2.51732e11i | −0.702932 | − | 1.21751i | ||||
\(328\) | −3.16858e10 | −0.151159 | ||||||||
\(329\) | −2.09087e11 | − | 3.62149e11i | −0.983887 | − | 1.70414i | ||||
\(330\) | 1.22481e10 | + | 2.12144e10i | 0.0568534 | + | 0.0984730i | ||||
\(331\) | 1.24883e11 | + | 2.16304e11i | 0.571843 | + | 0.990462i | 0.996377 | + | 0.0850495i | \(0.0271049\pi\) |
−0.424533 | + | 0.905412i | \(0.639562\pi\) | |||||||
\(332\) | 7.85067e10 | − | 1.35978e11i | 0.354638 | − | 0.614251i | ||||
\(333\) | −2.56708e11 | −1.14404 | ||||||||
\(334\) | 1.50241e10 | − | 2.60225e10i | 0.0660586 | − | 0.114417i | ||||
\(335\) | −2.35760e10 | − | 4.08348e10i | −0.102275 | − | 0.177145i | ||||
\(336\) | 4.95682e11 | 2.12166 | ||||||||
\(337\) | −3.03878e10 | − | 5.26333e10i | −0.128341 | − | 0.222293i | 0.794693 | − | 0.607012i | \(-0.207632\pi\) |
−0.923034 | + | 0.384719i | \(0.874299\pi\) | |||||||
\(338\) | −8.13240e9 | + | 1.40857e10i | −0.0338917 | + | 0.0587022i | ||||
\(339\) | −1.59621e11 | + | 2.76472e11i | −0.656435 | + | 1.13698i | ||||
\(340\) | 4.14803e10 | 0.168340 | ||||||||
\(341\) | −2.77105e10 | + | 4.79960e10i | −0.110981 | + | 0.192225i | ||||
\(342\) | 6.91103e9 | 0.0273165 | ||||||||
\(343\) | 1.01241e11 | 0.394940 | ||||||||
\(344\) | 3.43716e10 | − | 2.26845e10i | 0.132339 | − | 0.0873405i | ||||
\(345\) | 1.29571e11 | 0.492402 | ||||||||
\(346\) | 3.88138e9 | 0.0145594 | ||||||||
\(347\) | 6.95761e10 | − | 1.20509e11i | 0.257619 | − | 0.446209i | −0.707985 | − | 0.706228i | \(-0.750395\pi\) |
0.965604 | + | 0.260019i | \(0.0837288\pi\) | |||||||
\(348\) | −4.84812e11 | −1.77201 | ||||||||
\(349\) | −9.58825e10 | + | 1.66073e11i | −0.345959 | + | 0.599219i | −0.985528 | − | 0.169515i | \(-0.945780\pi\) |
0.639568 | + | 0.768734i | \(0.279113\pi\) | |||||||
\(350\) | 1.20423e10 | − | 2.08579e10i | 0.0428947 | − | 0.0742959i | ||||
\(351\) | 1.86629e10 | + | 3.23251e10i | 0.0656292 | + | 0.113673i | ||||
\(352\) | −1.27407e11 | −0.442335 | ||||||||
\(353\) | −9.78742e10 | − | 1.69523e11i | −0.335492 | − | 0.581089i | 0.648087 | − | 0.761566i | \(-0.275569\pi\) |
−0.983579 | + | 0.180477i | \(0.942236\pi\) | |||||||
\(354\) | 5.68567e9 | − | 9.84786e9i | 0.0192427 | − | 0.0333294i | ||||
\(355\) | 2.58112e11 | 0.862544 | ||||||||
\(356\) | −1.43237e11 | + | 2.48093e11i | −0.472638 | + | 0.818633i | ||||
\(357\) | 1.05704e11 | + | 1.83086e11i | 0.344418 | + | 0.596550i | ||||
\(358\) | −5.26050e9 | − | 9.11145e9i | −0.0169260 | − | 0.0293166i | ||||
\(359\) | −1.64360e11 | − | 2.84680e11i | −0.522242 | − | 0.904550i | −0.999665 | − | 0.0258764i | \(-0.991762\pi\) |
0.477423 | − | 0.878674i | \(-0.341571\pi\) | |||||||
\(360\) | −2.86789e10 | −0.0899915 | ||||||||
\(361\) | 1.44628e11 | + | 2.50504e11i | 0.448199 | + | 0.776304i | ||||
\(362\) | 1.59124e10 | + | 2.75610e10i | 0.0487019 | + | 0.0843542i | ||||
\(363\) | −5.93465e11 | + | 1.02791e12i | −1.79397 | + | 3.10725i | ||||
\(364\) | −3.40662e11 | + | 5.90043e11i | −1.01711 | + | 1.76168i | ||||
\(365\) | −7.50708e10 | −0.221388 | ||||||||
\(366\) | 3.71746e10 | 0.108288 | ||||||||
\(367\) | 2.98391e11 | − | 5.16828e11i | 0.858594 | − | 1.48713i | −0.0146765 | − | 0.999892i | \(-0.504672\pi\) |
0.873270 | − | 0.487236i | \(-0.161995\pi\) | |||||||
\(368\) | −1.11127e11 | + | 1.92477e11i | −0.315867 | + | 0.547097i | ||||
\(369\) | −1.81142e11 | − | 3.13747e11i | −0.508628 | − | 0.880970i | ||||
\(370\) | 8.17468e9 | + | 1.41590e10i | 0.0226758 | + | 0.0392757i | ||||
\(371\) | −1.23713e11 | −0.339025 | ||||||||
\(372\) | −3.13226e10 | − | 5.42524e10i | −0.0848037 | − | 0.146884i | ||||
\(373\) | −1.76908e11 | − | 3.06414e11i | −0.473214 | − | 0.819631i | 0.526316 | − | 0.850289i | \(-0.323573\pi\) |
−0.999530 | + | 0.0306581i | \(0.990240\pi\) | |||||||
\(374\) | −8.96051e9 | − | 1.55201e10i | −0.0236816 | − | 0.0410177i | ||||
\(375\) | 2.51417e11 | − | 4.35466e11i | 0.656528 | − | 1.13714i | ||||
\(376\) | −8.03932e10 | −0.207431 | ||||||||
\(377\) | 3.31056e11 | − | 5.73407e11i | 0.844046 | − | 1.46193i | ||||
\(378\) | −2.28983e9 | − | 3.96610e9i | −0.00576886 | − | 0.00999195i | ||||
\(379\) | −6.98248e10 | −0.173833 | −0.0869167 | − | 0.996216i | \(-0.527701\pi\) | ||||
−0.0869167 | + | 0.996216i | \(0.527701\pi\) | |||||||
\(380\) | 3.45723e10 | + | 5.98810e10i | 0.0850555 | + | 0.147320i | ||||
\(381\) | 4.95729e11 | − | 8.58628e11i | 1.20526 | − | 2.08758i | ||||
\(382\) | 7.45493e9 | − | 1.29123e10i | 0.0179126 | − | 0.0310255i | ||||
\(383\) | 3.07526e11 | 0.730276 | 0.365138 | − | 0.930953i | \(-0.381022\pi\) | ||||
0.365138 | + | 0.930953i | \(0.381022\pi\) | |||||||
\(384\) | 9.59065e10 | − | 1.66115e11i | 0.225091 | − | 0.389868i | ||||
\(385\) | −6.44817e11 | −1.49576 | ||||||||
\(386\) | −2.81495e10 | −0.0645399 | ||||||||
\(387\) | 4.21114e11 | + | 2.10659e11i | 0.954333 | + | 0.477398i | ||||
\(388\) | −2.61758e11 | −0.586351 | ||||||||
\(389\) | 4.61522e11 | 1.02192 | 0.510962 | − | 0.859603i | \(-0.329289\pi\) | ||||
0.510962 | + | 0.859603i | \(0.329289\pi\) | |||||||
\(390\) | 1.89078e10 | − | 3.27493e10i | 0.0413858 | − | 0.0716823i | ||||
\(391\) | −9.47915e10 | −0.205104 | ||||||||
\(392\) | 4.67960e10 | − | 8.10531e10i | 0.100097 | − | 0.173373i | ||||
\(393\) | −3.30805e11 | + | 5.72970e11i | −0.699528 | + | 1.21162i | ||||
\(394\) | 2.58583e10 | + | 4.47879e10i | 0.0540589 | + | 0.0936328i | ||||
\(395\) | −3.05437e11 | −0.631299 | ||||||||
\(396\) | −4.85062e11 | − | 8.40152e11i | −0.991218 | − | 1.71684i | ||||
\(397\) | 2.94343e11 | − | 5.09817e11i | 0.594698 | − | 1.03005i | −0.398892 | − | 0.916998i | \(-0.630605\pi\) |
0.993589 | − | 0.113048i | \(-0.0360615\pi\) | |||||||
\(398\) | −3.92299e10 | −0.0783689 | ||||||||
\(399\) | −1.76202e11 | + | 3.05190e11i | −0.348042 | + | 0.602827i | ||||
\(400\) | 1.80105e11 | + | 3.11951e11i | 0.351768 | + | 0.609280i | ||||
\(401\) | −2.09391e11 | − | 3.62676e11i | −0.404398 | − | 0.700437i | 0.589854 | − | 0.807510i | \(-0.299185\pi\) |
−0.994251 | + | 0.107073i | \(0.965852\pi\) | |||||||
\(402\) | −1.15134e10 | − | 1.99418e10i | −0.0219880 | − | 0.0380844i | ||||
\(403\) | 8.55554e10 | 0.161575 | ||||||||
\(404\) | 4.67459e11 | + | 8.09663e11i | 0.873026 | + | 1.51213i | ||||
\(405\) | 1.33680e11 | + | 2.31541e11i | 0.246899 | + | 0.427642i | ||||
\(406\) | −4.06187e10 | + | 7.03536e10i | −0.0741923 | + | 0.128505i | ||||
\(407\) | −5.54812e11 | + | 9.60962e11i | −1.00224 | + | 1.73593i | ||||
\(408\) | 4.06430e10 | 0.0726132 | ||||||||
\(409\) | 4.49397e11 | 0.794101 | 0.397050 | − | 0.917797i | \(-0.370034\pi\) | ||||
0.397050 | + | 0.917797i | \(0.370034\pi\) | |||||||
\(410\) | −1.15367e10 | + | 1.99821e10i | −0.0201629 | + | 0.0349232i | ||||
\(411\) | 4.33764e10 | − | 7.51302e10i | 0.0749835 | − | 0.129875i | ||||
\(412\) | 1.80340e11 | + | 3.12357e11i | 0.308357 | + | 0.534090i | ||||
\(413\) | 1.49664e11 | + | 2.59226e11i | 0.253130 | + | 0.438434i | ||||
\(414\) | 3.26648e10 | 0.0546485 | ||||||||
\(415\) | −1.14700e11 | − | 1.98666e11i | −0.189822 | − | 0.328781i | ||||
\(416\) | 9.83414e10 | + | 1.70332e11i | 0.160996 | + | 0.278854i | ||||
\(417\) | 4.60730e11 | + | 7.98009e11i | 0.746165 | + | 1.29240i | ||||
\(418\) | 1.49365e10 | − | 2.58708e10i | 0.0239307 | − | 0.0414492i | ||||
\(419\) | 8.87378e11 | 1.40652 | 0.703260 | − | 0.710933i | \(-0.251727\pi\) | ||||
0.703260 | + | 0.710933i | \(0.251727\pi\) | |||||||
\(420\) | 3.64435e11 | − | 6.31220e11i | 0.571476 | − | 0.989826i | ||||
\(421\) | −2.35456e11 | − | 4.07822e11i | −0.365292 | − | 0.632705i | 0.623531 | − | 0.781799i | \(-0.285698\pi\) |
−0.988823 | + | 0.149094i | \(0.952364\pi\) | |||||||
\(422\) | 5.48620e10 | 0.0842103 | ||||||||
\(423\) | −4.59593e11 | − | 7.96039e11i | −0.697978 | − | 1.20893i | ||||
\(424\) | −1.18918e10 | + | 2.05972e10i | −0.0178690 | + | 0.0309500i | ||||
\(425\) | −7.68151e10 | + | 1.33048e11i | −0.114208 | + | 0.197814i | ||||
\(426\) | 1.26050e11 | 0.185438 | ||||||||
\(427\) | −4.89275e11 | + | 8.47450e11i | −0.712242 | + | 1.23364i | ||||
\(428\) | −7.29274e11 | −1.05049 | ||||||||
\(429\) | 2.56653e12 | 3.65838 | ||||||||
\(430\) | −1.79099e9 | − | 2.99352e10i | −0.00252630 | − | 0.0422254i | ||||
\(431\) | 9.59616e10 | 0.133952 | 0.0669761 | − | 0.997755i | \(-0.478665\pi\) | ||||
0.0669761 | + | 0.997755i | \(0.478665\pi\) | |||||||
\(432\) | 6.84934e10 | 0.0946176 | ||||||||
\(433\) | 6.33440e11 | − | 1.09715e12i | 0.865985 | − | 1.49993i | −8.17470e−5 | − | 1.00000i | \(-0.500026\pi\) |
0.866066 | − | 0.499929i | \(-0.166641\pi\) | |||||||
\(434\) | −1.04971e10 | −0.0142026 | ||||||||
\(435\) | −3.54160e11 | + | 6.13422e11i | −0.474239 | + | 0.821406i | ||||
\(436\) | 3.66579e11 | − | 6.34934e11i | 0.485824 | − | 0.841472i | ||||
\(437\) | −7.90053e10 | − | 1.36841e11i | −0.103631 | − | 0.179494i | ||||
\(438\) | −3.66611e10 | −0.0475962 | ||||||||
\(439\) | 2.89207e11 | + | 5.00920e11i | 0.371636 | + | 0.643692i | 0.989817 | − | 0.142343i | \(-0.0454636\pi\) |
−0.618181 | + | 0.786035i | \(0.712130\pi\) | |||||||
\(440\) | −6.19825e10 | + | 1.07357e11i | −0.0788374 | + | 0.136550i | ||||
\(441\) | 1.07010e12 | 1.34725 | ||||||||
\(442\) | −1.38326e10 | + | 2.39588e10i | −0.0172387 | + | 0.0298583i | ||||
\(443\) | −2.48939e11 | − | 4.31175e11i | −0.307097 | − | 0.531908i | 0.670629 | − | 0.741793i | \(-0.266024\pi\) |
−0.977726 | + | 0.209885i | \(0.932691\pi\) | |||||||
\(444\) | −6.27133e11 | − | 1.08623e12i | −0.765836 | − | 1.32647i | ||||
\(445\) | 2.09271e11 | + | 3.62469e11i | 0.252982 | + | 0.438178i | ||||
\(446\) | −7.27374e10 | −0.0870465 | ||||||||
\(447\) | −3.88530e11 | − | 6.72953e11i | −0.460299 | − | 0.797262i | ||||
\(448\) | 6.17032e11 | + | 1.06873e12i | 0.723697 | + | 1.25348i | ||||
\(449\) | −3.14558e11 | + | 5.44830e11i | −0.365251 | + | 0.632633i | −0.988816 | − | 0.149138i | \(-0.952350\pi\) |
0.623565 | + | 0.781771i | \(0.285684\pi\) | |||||||
\(450\) | 2.64702e10 | − | 4.58477e10i | 0.0304299 | − | 0.0527062i | ||||
\(451\) | −1.56598e12 | −1.78234 | ||||||||
\(452\) | −8.05212e11 | −0.907376 | ||||||||
\(453\) | 1.22425e12 | − | 2.12047e12i | 1.36593 | − | 2.36586i | ||||
\(454\) | 4.83952e10 | − | 8.38229e10i | 0.0534627 | − | 0.0926001i | ||||
\(455\) | 4.97713e11 | + | 8.62064e11i | 0.544412 | + | 0.942949i | ||||
\(456\) | 3.38745e10 | + | 5.86723e10i | 0.0366886 | + | 0.0635465i | ||||
\(457\) | −9.63187e11 | −1.03297 | −0.516485 | − | 0.856296i | \(-0.672760\pi\) | ||||
−0.516485 | + | 0.856296i | \(0.672760\pi\) | |||||||
\(458\) | 2.76703e10 | + | 4.79264e10i | 0.0293846 | + | 0.0508956i | ||||
\(459\) | 1.46063e10 | + | 2.52988e10i | 0.0153597 | + | 0.0266037i | ||||
\(460\) | 1.63405e11 | + | 2.83026e11i | 0.170159 | + | 0.294725i | ||||
\(461\) | −7.65850e11 | + | 1.32649e12i | −0.789750 | + | 1.36789i | 0.136371 | + | 0.990658i | \(0.456456\pi\) |
−0.926120 | + | 0.377229i | \(0.876877\pi\) | |||||||
\(462\) | −3.14899e11 | −0.321575 | ||||||||
\(463\) | 2.83628e11 | − | 4.91259e11i | 0.286837 | − | 0.496816i | −0.686216 | − | 0.727398i | \(-0.740730\pi\) |
0.973053 | + | 0.230582i | \(0.0740629\pi\) | |||||||
\(464\) | −6.07494e11 | − | 1.05221e12i | −0.608430 | − | 1.05383i | ||||
\(465\) | −9.15259e10 | −0.0907833 | ||||||||
\(466\) | −1.01155e10 | − | 1.75205e10i | −0.00993686 | − | 0.0172112i | ||||
\(467\) | 1.82638e11 | − | 3.16338e11i | 0.177691 | − | 0.307769i | −0.763399 | − | 0.645928i | \(-0.776471\pi\) |
0.941089 | + | 0.338159i | \(0.109804\pi\) | |||||||
\(468\) | −7.48807e11 | + | 1.29697e12i | −0.721546 | + | 1.24975i | ||||
\(469\) | 6.06137e11 | 0.578486 | ||||||||
\(470\) | −2.92708e10 | + | 5.06986e10i | −0.0276691 | + | 0.0479243i | ||||
\(471\) | −1.71076e12 | −1.60175 | ||||||||
\(472\) | 5.75455e10 | 0.0533669 | ||||||||
\(473\) | 1.69872e12 | − | 1.12111e12i | 1.56044 | − | 1.02985i | ||||
\(474\) | −1.49161e11 | −0.135723 | ||||||||
\(475\) | −2.56090e11 | −0.230819 | ||||||||
\(476\) | −2.66614e11 | + | 4.61789e11i | −0.238041 | + | 0.412299i | ||||
\(477\) | −2.71933e11 | −0.240507 | ||||||||
\(478\) | −5.78274e10 | + | 1.00160e11i | −0.0506650 | + | 0.0877544i | ||||
\(479\) | 8.30831e11 | − | 1.43904e12i | 0.721113 | − | 1.24900i | −0.239442 | − | 0.970911i | \(-0.576964\pi\) |
0.960554 | − | 0.278093i | \(-0.0897023\pi\) | |||||||
\(480\) | −1.05204e11 | − | 1.82219e11i | −0.0904581 | − | 0.156678i | ||||
\(481\) | 1.71296e12 | 1.45914 | ||||||||
\(482\) | −2.48679e10 | − | 4.30725e10i | −0.0209859 | − | 0.0363487i | ||||
\(483\) | −8.32813e11 | + | 1.44247e12i | −0.696282 | + | 1.20600i | ||||
\(484\) | −2.99374e12 | −2.47977 | ||||||||
\(485\) | −1.91217e11 | + | 3.31198e11i | −0.156924 | + | 0.271800i | ||||
\(486\) | 7.00000e10 | + | 1.21244e11i | 0.0569161 | + | 0.0985816i | ||||
\(487\) | −5.57638e10 | − | 9.65858e10i | −0.0449234 | − | 0.0778095i | 0.842689 | − | 0.538400i | \(-0.180971\pi\) |
−0.887613 | + | 0.460590i | \(0.847638\pi\) | |||||||
\(488\) | 9.40624e10 | + | 1.62921e11i | 0.0750804 | + | 0.130043i | ||||
\(489\) | −2.83794e12 | −2.24446 | ||||||||
\(490\) | −3.40765e10 | − | 5.90222e10i | −0.0267038 | − | 0.0462523i | ||||
\(491\) | 2.77378e10 | + | 4.80432e10i | 0.0215380 | + | 0.0373048i | 0.876593 | − | 0.481232i | \(-0.159810\pi\) |
−0.855056 | + | 0.518536i | \(0.826477\pi\) | |||||||
\(492\) | 8.85053e11 | − | 1.53296e12i | 0.680967 | − | 1.17947i | ||||
\(493\) | 2.59097e11 | − | 4.48769e11i | 0.197538 | − | 0.342146i | ||||
\(494\) | −4.61160e10 | −0.0348402 | ||||||||
\(495\) | −1.41737e12 | −1.06111 | ||||||||
\(496\) | 7.84977e10 | − | 1.35962e11i | 0.0582357 | − | 0.100867i | ||||
\(497\) | −1.65901e12 | + | 2.87350e12i | −1.21968 | + | 2.11255i | ||||
\(498\) | −5.60140e10 | − | 9.70192e10i | −0.0408098 | − | 0.0706847i | ||||
\(499\) | 8.89624e11 | + | 1.54087e12i | 0.642324 | + | 1.11254i | 0.984913 | + | 0.173052i | \(0.0553630\pi\) |
−0.342588 | + | 0.939486i | \(0.611304\pi\) | |||||||
\(500\) | 1.26828e12 | 0.907504 | ||||||||
\(501\) | 1.68396e12 | + | 2.91671e12i | 1.19416 | + | 2.06835i | ||||
\(502\) | −3.37356e10 | − | 5.84318e10i | −0.0237095 | − | 0.0410660i | ||||
\(503\) | −3.63142e11 | − | 6.28981e11i | −0.252942 | − | 0.438108i | 0.711393 | − | 0.702795i | \(-0.248065\pi\) |
−0.964335 | + | 0.264687i | \(0.914732\pi\) | |||||||
\(504\) | 1.84333e11 | − | 3.19275e11i | 0.127253 | − | 0.220408i | ||||
\(505\) | 1.36593e12 | 0.934584 | ||||||||
\(506\) | 7.05971e10 | − | 1.22278e11i | 0.0478751 | − | 0.0829220i | ||||
\(507\) | −9.11513e11 | − | 1.57879e12i | −0.612671 | − | 1.06118i | ||||
\(508\) | 2.50072e12 | 1.66601 | ||||||||
\(509\) | −7.36645e11 | − | 1.27591e12i | −0.486439 | − | 0.842537i | 0.513440 | − | 0.858126i | \(-0.328371\pi\) |
−0.999878 | + | 0.0155888i | \(0.995038\pi\) | |||||||
\(510\) | 1.47980e10 | − | 2.56308e10i | 0.00968582 | − | 0.0167763i | ||||
\(511\) | 4.82517e11 | − | 8.35744e11i | 0.313053 | − | 0.542224i | ||||
\(512\) | 6.02802e11 | 0.387668 | ||||||||
\(513\) | −2.43476e10 | + | 4.21712e10i | −0.0155213 | + | 0.0268836i | ||||
\(514\) | −1.77938e10 | −0.0112444 | ||||||||
\(515\) | 5.26959e11 | 0.330099 | ||||||||
\(516\) | 1.37399e11 | + | 2.29652e12i | 0.0853215 | + | 1.42609i | ||||
\(517\) | −3.97320e12 | −2.44587 | ||||||||
\(518\) | −2.10171e11 | −0.128259 | ||||||||
\(519\) | −2.17521e11 | + | 3.76757e11i | −0.131597 | + | 0.227933i | ||||
\(520\) | 1.91369e11 | 0.114778 | ||||||||
\(521\) | −4.76302e11 | + | 8.24980e11i | −0.283213 | + | 0.490539i | −0.972174 | − | 0.234259i | \(-0.924734\pi\) |
0.688961 | + | 0.724798i | \(0.258067\pi\) | |||||||
\(522\) | −8.92839e10 | + | 1.54644e11i | −0.0526327 | + | 0.0911625i | ||||
\(523\) | −1.00891e12 | − | 1.74748e12i | −0.589651 | − | 1.02131i | −0.994278 | − | 0.106823i | \(-0.965932\pi\) |
0.404627 | − | 0.914482i | \(-0.367401\pi\) | |||||||
\(524\) | −1.66875e12 | −0.966942 | ||||||||
\(525\) | 1.34975e12 | + | 2.33784e12i | 0.775421 | + | 1.34307i | ||||
\(526\) | 7.37299e10 | − | 1.27704e11i | 0.0419960 | − | 0.0727392i | ||||
\(527\) | 6.69587e10 | 0.0378146 | ||||||||
\(528\) | 2.35481e12 | − | 4.07866e12i | 1.31857 | − | 2.28383i | ||||
\(529\) | 5.27160e11 | + | 9.13068e11i | 0.292679 | + | 0.506935i | ||||
\(530\) | 8.65950e9 | + | 1.49987e10i | 0.00476707 | + | 0.00825681i | ||||
\(531\) | 3.28977e11 | + | 5.69805e11i | 0.179573 | + | 0.311029i | ||||
\(532\) | −8.88853e11 | −0.481091 | ||||||||
\(533\) | 1.20873e12 | + | 2.09358e12i | 0.648718 | + | 1.12361i | ||||
\(534\) | 1.02198e11 | + | 1.77013e11i | 0.0543886 | + | 0.0942039i | ||||
\(535\) | −5.32742e11 | + | 9.22735e11i | −0.281141 | + | 0.486951i | ||||
\(536\) | 5.82645e10 | − | 1.00917e11i | 0.0304903 | − | 0.0528108i | ||||
\(537\) | 1.17924e12 | 0.611952 | ||||||||
\(538\) | −1.62490e11 | −0.0836193 | ||||||||
\(539\) | 2.31276e12 | − | 4.00581e12i | 1.18027 | − | 2.04428i | ||||
\(540\) | 5.03577e10 | − | 8.72221e10i | 0.0254855 | − | 0.0441422i | ||||
\(541\) | −1.47438e12 | − | 2.55369e12i | −0.739981 | − | 1.28168i | −0.952503 | − | 0.304529i | \(-0.901501\pi\) |
0.212522 | − | 0.977156i | \(-0.431832\pi\) | |||||||
\(542\) | 3.33477e10 | + | 5.77599e10i | 0.0165985 | + | 0.0287495i | ||||
\(543\) | −3.56705e12 | −1.76080 | ||||||||
\(544\) | 7.69655e10 | + | 1.33308e11i | 0.0376792 | + | 0.0652622i | ||||
\(545\) | −5.35580e11 | − | 9.27651e11i | −0.260040 | − | 0.450402i | ||||
\(546\) | 2.43060e11 | + | 4.20992e11i | 0.117043 | + | 0.202725i | ||||
\(547\) | −4.31766e11 | + | 7.47841e11i | −0.206208 | + | 0.357163i | −0.950517 | − | 0.310673i | \(-0.899446\pi\) |
0.744309 | + | 0.667835i | \(0.232779\pi\) | |||||||
\(548\) | 2.18813e11 | 0.103648 | ||||||||
\(549\) | −1.07547e12 | + | 1.86278e12i | −0.505271 | + | 0.875156i | ||||
\(550\) | −1.14418e11 | − | 1.98177e11i | −0.0533165 | − | 0.0923469i | ||||
\(551\) | 8.63791e11 | 0.399233 | ||||||||
\(552\) | 1.60107e11 | + | 2.77313e11i | 0.0733980 | + | 0.127129i | ||||
\(553\) | 1.96319e12 | − | 3.40035e12i | 0.892689 | − | 1.54618i | ||||
\(554\) | 1.61881e11 | − | 2.80386e11i | 0.0730134 | − | 0.126463i | ||||
\(555\) | −1.83251e12 | −0.819836 | ||||||||
\(556\) | −1.16208e12 | + | 2.01278e12i | −0.515704 | + | 0.893225i | ||||
\(557\) | 1.06334e12 | 0.468084 | 0.234042 | − | 0.972226i | \(-0.424805\pi\) | ||||
0.234042 | + | 0.972226i | \(0.424805\pi\) | |||||||
\(558\) | −2.30737e10 | −0.0100754 | ||||||||
\(559\) | −2.81001e12 | − | 1.40569e12i | −1.21718 | − | 0.608885i | ||||
\(560\) | 1.82662e12 | 0.784879 | ||||||||
\(561\) | 2.00866e12 | 0.856198 | ||||||||
\(562\) | 1.08443e11 | − | 1.87828e11i | 0.0458550 | − | 0.0794232i | ||||
\(563\) | 5.27778e11 | 0.221393 | 0.110696 | − | 0.993854i | \(-0.464692\pi\) | ||||
0.110696 | + | 0.993854i | \(0.464692\pi\) | |||||||
\(564\) | 2.24556e12 | − | 3.88942e12i | 0.934475 | − | 1.61856i | ||||
\(565\) | −5.88215e11 | + | 1.01882e12i | −0.242839 | + | 0.420609i | ||||
\(566\) | 1.53426e11 | + | 2.65742e11i | 0.0628384 | + | 0.108839i | ||||
\(567\) | −3.43691e12 | −1.39651 | ||||||||
\(568\) | 3.18943e11 | + | 5.52425e11i | 0.128572 | + | 0.222693i | ||||
\(569\) | 1.59383e12 | − | 2.76060e12i | 0.637438 | − | 1.10408i | −0.348555 | − | 0.937288i | \(-0.613328\pi\) |
0.985993 | − | 0.166787i | \(-0.0533392\pi\) | |||||||
\(570\) | 4.93343e10 | 0.0195755 | ||||||||
\(571\) | 1.27732e12 | − | 2.21238e12i | 0.502847 | − | 0.870957i | −0.497147 | − | 0.867666i | \(-0.665619\pi\) |
0.999995 | − | 0.00329067i | \(-0.00104745\pi\) | |||||||
\(572\) | 3.23673e12 | + | 5.60618e12i | 1.26423 | + | 2.18970i | ||||
\(573\) | 8.35580e11 | + | 1.44727e12i | 0.323812 | + | 0.560858i | ||||
\(574\) | −1.48304e11 | − | 2.56870e11i | −0.0570228 | − | 0.0987664i | ||||
\(575\) | −1.21040e12 | −0.461769 | ||||||||
\(576\) | 1.35630e12 | + | 2.34918e12i | 0.513398 | + | 0.889231i | ||||
\(577\) | 8.05202e11 | + | 1.39465e12i | 0.302422 | + | 0.523811i | 0.976684 | − | 0.214682i | \(-0.0688714\pi\) |
−0.674262 | + | 0.738492i | \(0.735538\pi\) | |||||||
\(578\) | 9.58804e10 | − | 1.66070e11i | 0.0357318 | − | 0.0618893i | ||||
\(579\) | 1.57756e12 | − | 2.73241e12i | 0.583353 | − | 1.01040i | ||||
\(580\) | −1.78656e12 | −0.655530 | ||||||||
\(581\) | 2.94893e12 | 1.07367 | ||||||||
\(582\) | −9.33815e10 | + | 1.61741e11i | −0.0337371 | + | 0.0584343i | ||||
\(583\) | −5.87716e11 | + | 1.01795e12i | −0.210697 | + | 0.364939i | ||||
\(584\) | −9.27631e10 | − | 1.60670e11i | −0.0330003 | − | 0.0571582i | ||||
\(585\) | 1.09402e12 | + | 1.89490e12i | 0.386211 | + | 0.668937i | ||||
\(586\) | −2.59058e11 | −0.0907524 | ||||||||
\(587\) | −3.71368e11 | − | 6.43229e11i | −0.129102 | − | 0.223611i | 0.794227 | − | 0.607621i | \(-0.207876\pi\) |
−0.923329 | + | 0.384010i | \(0.874543\pi\) | |||||||
\(588\) | 2.61423e12 | + | 4.52798e12i | 0.901873 | + | 1.56209i | ||||
\(589\) | 5.58077e10 | + | 9.66617e10i | 0.0191062 | + | 0.0330930i | ||||
\(590\) | 2.09521e10 | − | 3.62901e10i | 0.00711858 | − | 0.0123297i | ||||
\(591\) | −5.79662e12 | −1.95448 | ||||||||
\(592\) | 1.57166e12 | − | 2.72219e12i | 0.525909 | − | 0.910901i | ||||
\(593\) | 1.13036e12 | + | 1.95784e12i | 0.375380 | + | 0.650177i | 0.990384 | − | 0.138347i | \(-0.0441789\pi\) |
−0.615004 | + | 0.788524i | \(0.710846\pi\) | |||||||
\(594\) | −4.35127e10 | −0.0143409 | ||||||||
\(595\) | 3.89528e11 | + | 6.74683e11i | 0.127413 | + | 0.220685i | ||||
\(596\) | 9.79973e11 | − | 1.69736e12i | 0.318131 | − | 0.551019i | ||||
\(597\) | 2.19853e12 | − | 3.80796e12i | 0.708349 | − | 1.22690i | ||||
\(598\) | −2.17966e11 | −0.0697002 | ||||||||
\(599\) | −7.30510e11 | + | 1.26528e12i | −0.231849 | + | 0.401574i | −0.958352 | − | 0.285589i | \(-0.907811\pi\) |
0.726503 | + | 0.687163i | \(0.241144\pi\) | |||||||
\(600\) | 5.18976e11 | 0.163481 | ||||||||
\(601\) | 3.81242e12 | 1.19197 | 0.595986 | − | 0.802995i | \(-0.296761\pi\) | ||||
0.595986 | + | 0.802995i | \(0.296761\pi\) | |||||||
\(602\) | 3.44772e11 | + | 1.72470e11i | 0.106991 | + | 0.0535215i | ||||
\(603\) | 1.33235e12 | 0.410384 | ||||||||
\(604\) | 6.17577e12 | 1.88810 | ||||||||
\(605\) | −2.18696e12 | + | 3.78792e12i | −0.663654 | + | 1.14948i | ||||
\(606\) | 6.67058e11 | 0.200926 | ||||||||
\(607\) | −1.09419e12 | + | 1.89519e12i | −0.327147 | + | 0.566636i | −0.981945 | − | 0.189169i | \(-0.939421\pi\) |
0.654797 | + | 0.755805i | \(0.272754\pi\) | |||||||
\(608\) | −1.28296e11 | + | 2.22215e11i | −0.0380756 | + | 0.0659489i | ||||
\(609\) | −4.55271e12 | − | 7.88553e12i | −1.34120 | − | 2.32302i | ||||
\(610\) | 1.36991e11 | 0.0400597 | ||||||||
\(611\) | 3.06678e12 | + | 5.31182e12i | 0.890220 | + | 1.54191i | ||||
\(612\) | −5.86044e11 | + | 1.01506e12i | −0.168869 | + | 0.292489i | ||||
\(613\) | 4.90449e12 | 1.40289 | 0.701443 | − | 0.712726i | \(-0.252540\pi\) | ||||
0.701443 | + | 0.712726i | \(0.252540\pi\) | |||||||
\(614\) | 1.09258e11 | − | 1.89240e11i | 0.0310238 | − | 0.0537348i | ||||
\(615\) | −1.29308e12 | − | 2.23968e12i | −0.364491 | − | 0.631317i | ||||
\(616\) | −7.96784e11 | − | 1.38007e12i | −0.222960 | − | 0.386178i | ||||
\(617\) | −2.09961e12 | − | 3.63663e12i | −0.583251 | − | 1.01022i | −0.995091 | − | 0.0989641i | \(-0.968447\pi\) |
0.411840 | − | 0.911256i | \(-0.364886\pi\) | |||||||
\(618\) | 2.57342e11 | 0.0709681 | ||||||||
\(619\) | 1.07326e12 | + | 1.85895e12i | 0.293832 | + | 0.508932i | 0.974712 | − | 0.223463i | \(-0.0717361\pi\) |
−0.680881 | + | 0.732394i | \(0.738403\pi\) | |||||||
\(620\) | −1.15426e11 | − | 1.99924e11i | −0.0313719 | − | 0.0543378i | ||||
\(621\) | −1.15078e11 | + | 1.99321e11i | −0.0310514 | + | 0.0537826i | ||||
\(622\) | −6.74828e8 | + | 1.16884e9i | −0.000180774 | + | 0.000313110i | ||||
\(623\) | −5.38036e12 | −1.43092 | ||||||||
\(624\) | −7.27041e12 | −1.91968 | ||||||||
\(625\) | −4.41301e11 | + | 7.64355e11i | −0.115684 | + | 0.200371i | ||||
\(626\) | −3.33045e10 | + | 5.76850e10i | −0.00866798 | + | 0.0150134i | ||||
\(627\) | 1.67415e12 | + | 2.89971e12i | 0.432603 | + | 0.749290i | ||||
\(628\) | −2.15749e12 | − | 3.73688e12i | −0.553515 | − | 0.958717i | ||||
\(629\) | 1.34063e12 | 0.341492 | ||||||||
\(630\) | −1.34230e11 | − | 2.32493e11i | −0.0339483 | − | 0.0588001i | ||||
\(631\) | −2.50715e12 | − | 4.34252e12i | −0.629577 | − | 1.09046i | −0.987637 | − | 0.156761i | \(-0.949895\pi\) |
0.358059 | − | 0.933699i | \(-0.383439\pi\) | |||||||
\(632\) | −3.77421e11 | − | 6.53712e11i | −0.0941020 | − | 0.162990i | ||||
\(633\) | −3.07458e12 | + | 5.32533e12i | −0.761148 | + | 1.31835i | ||||
\(634\) | −3.15471e11 | −0.0775458 | ||||||||
\(635\) | 1.82680e12 | − | 3.16410e12i | 0.445870 | − | 0.772270i | ||||
\(636\) | −6.64326e11 | − | 1.15065e12i | −0.160999 | − | 0.278859i | ||||
\(637\) | −7.14056e12 | −1.71832 | ||||||||
\(638\) | 3.85931e11 | + | 6.68452e11i | 0.0922181 | + | 0.159727i | ||||
\(639\) | −3.64667e12 | + | 6.31623e12i | −0.865253 | + | 1.49866i | ||||
\(640\) | 3.53422e11 | − | 6.12145e11i | 0.0832691 | − | 0.144226i | ||||
\(641\) | −2.36643e11 | −0.0553647 | −0.0276823 | − | 0.999617i | \(-0.508813\pi\) | ||||
−0.0276823 | + | 0.999617i | \(0.508813\pi\) | |||||||
\(642\) | −2.60166e11 | + | 4.50621e11i | −0.0604426 | + | 0.104690i | ||||
\(643\) | −4.34700e12 | −1.00286 | −0.501431 | − | 0.865198i | \(-0.667193\pi\) | ||||
−0.501431 | + | 0.865198i | \(0.667193\pi\) | |||||||
\(644\) | −4.20114e12 | −0.962456 | ||||||||
\(645\) | 3.00611e12 | + | 1.50378e12i | 0.683891 | + | 0.342111i | ||||
\(646\) | −3.60921e10 | −0.00815390 | ||||||||
\(647\) | −2.40644e12 | −0.539892 | −0.269946 | − | 0.962876i | \(-0.587006\pi\) | ||||
−0.269946 | + | 0.962876i | \(0.587006\pi\) | |||||||
\(648\) | −3.30370e11 | + | 5.72218e11i | −0.0736061 | + | 0.127489i | ||||
\(649\) | 2.84402e12 | 0.629261 | ||||||||
\(650\) | −1.76631e11 | + | 3.05933e11i | −0.0388111 | + | 0.0672228i | ||||
\(651\) | 5.88282e11 | − | 1.01893e12i | 0.128372 | − | 0.222347i | ||||
\(652\) | −3.57901e12 | − | 6.19902e12i | −0.775619 | − | 1.34341i | ||||
\(653\) | −6.60645e12 | −1.42187 | −0.710934 | − | 0.703259i | \(-0.751727\pi\) | ||||
−0.710934 | + | 0.703259i | \(0.751727\pi\) | |||||||
\(654\) | −2.61552e11 | − | 4.53022e11i | −0.0559060 | − | 0.0968320i | ||||
\(655\) | −1.21904e12 | + | 2.11144e12i | −0.258780 | + | 0.448221i | ||||
\(656\) | 4.43606e12 | 0.935256 | ||||||||
\(657\) | 1.06062e12 | − | 1.83705e12i | 0.222083 | − | 0.384659i | ||||
\(658\) | −3.76276e11 | − | 6.51729e11i | −0.0782510 | − | 0.135535i | ||||
\(659\) | 1.87004e12 | + | 3.23901e12i | 0.386249 | + | 0.669003i | 0.991942 | − | 0.126696i | \(-0.0404373\pi\) |
−0.605693 | + | 0.795699i | \(0.707104\pi\) | |||||||
\(660\) | −3.46261e12 | − | 5.99741e12i | −0.710323 | − | 1.23032i | ||||
\(661\) | 2.66804e12 | 0.543608 | 0.271804 | − | 0.962353i | \(-0.412380\pi\) | ||||
0.271804 | + | 0.962353i | \(0.412380\pi\) | |||||||
\(662\) | 2.24741e11 | + | 3.89264e11i | 0.0454802 | + | 0.0787740i | ||||
\(663\) | −1.55042e12 | − | 2.68541e12i | −0.311630 | − | 0.539758i | ||||
\(664\) | 2.83463e11 | − | 4.90973e11i | 0.0565901 | − | 0.0980169i | ||||
\(665\) | −6.49315e11 | + | 1.12465e12i | −0.128753 | + | 0.223007i | ||||
\(666\) | −4.61976e11 | −0.0909882 | ||||||||
\(667\) | 4.08269e12 | 0.798693 | ||||||||
\(668\) | −4.24740e12 | + | 7.35671e12i | −0.825332 | + | 1.42952i | ||||
\(669\) | 4.07636e12 | − | 7.06046e12i | 0.786783 | − | 1.36275i | ||||
\(670\) | −4.24277e10 | − | 7.34869e10i | −0.00813416 | − | 0.0140888i | ||||
\(671\) | 4.64876e12 | + | 8.05188e12i | 0.885290 | + | 1.53337i | ||||
\(672\) | 2.70480e12 | 0.511650 | ||||||||
\(673\) | −4.43774e11 | − | 7.68639e11i | −0.0833862 | − | 0.144429i | 0.821316 | − | 0.570473i | \(-0.193240\pi\) |
−0.904702 | + | 0.426044i | \(0.859907\pi\) | |||||||
\(674\) | −5.46865e10 | − | 9.47197e10i | −0.0102073 | − | 0.0176795i | ||||
\(675\) | 1.86509e11 | + | 3.23043e11i | 0.0345807 | + | 0.0598955i | ||||
\(676\) | 2.29907e12 | − | 3.98211e12i | 0.423441 | − | 0.733421i | ||||
\(677\) | 4.52082e12 | 0.827120 | 0.413560 | − | 0.910477i | \(-0.364285\pi\) | ||||
0.413560 | + | 0.910477i | \(0.364285\pi\) | |||||||
\(678\) | −2.87257e11 | + | 4.97543e11i | −0.0522080 | + | 0.0904268i | ||||
\(679\) | −2.45809e12 | − | 4.25754e12i | −0.443796 | − | 0.768678i | ||||
\(680\) | 1.49772e11 | 0.0268622 | ||||||||
\(681\) | 5.42433e12 | + | 9.39522e12i | 0.966461 | + | 1.67396i | ||||
\(682\) | −4.98683e10 | + | 8.63744e10i | −0.00882663 | + | 0.0152882i | ||||
\(683\) | 1.45894e11 | − | 2.52696e11i | 0.0256534 | − | 0.0444330i | −0.852914 | − | 0.522052i | \(-0.825167\pi\) |
0.878567 | + | 0.477619i | \(0.158500\pi\) | |||||||
\(684\) | −1.95379e12 | −0.341291 | ||||||||
\(685\) | 1.59845e11 | − | 2.76860e11i | 0.0277391 | − | 0.0480455i | ||||
\(686\) | 1.82194e11 | 0.0314106 | ||||||||
\(687\) | −6.20281e12 | −1.06239 | ||||||||
\(688\) | −4.81208e12 | + | 3.17586e12i | −0.818814 | + | 0.540398i | ||||
\(689\) | 1.81456e12 | 0.306749 | ||||||||
\(690\) | 2.33177e11 | 0.0391620 | ||||||||
\(691\) | −5.03109e12 | + | 8.71411e12i | −0.839482 | + | 1.45403i | 0.0508468 | + | 0.998706i | \(0.483808\pi\) |
−0.890329 | + | 0.455319i | \(0.849525\pi\) | |||||||
\(692\) | −1.09729e12 | −0.181904 | ||||||||
\(693\) | 9.11013e12 | − | 1.57792e13i | 1.50046 | − | 2.59888i | ||||
\(694\) | 1.25210e11 | − | 2.16871e11i | 0.0204891 | − | 0.0354881i | ||||
\(695\) | 1.69782e12 | + | 2.94072e12i | 0.276033 | + | 0.478103i | ||||
\(696\) | −1.75050e12 | −0.282762 | ||||||||
\(697\) | 9.45994e11 | + | 1.63851e12i | 0.151824 | + | 0.262967i | ||||
\(698\) | −1.72552e11 | + | 2.98868e11i | −0.0275150 | + | 0.0476574i | ||||
\(699\) | 2.26757e12 | 0.359263 | ||||||||
\(700\) | −3.40443e12 | + | 5.89664e12i | −0.535924 | + | 0.928247i | ||||
\(701\) | 4.92305e12 | + | 8.52698e12i | 0.770023 | + | 1.33372i | 0.937550 | + | 0.347851i | \(0.113089\pi\) |
−0.167527 | + | 0.985867i | \(0.553578\pi\) | |||||||
\(702\) | 3.35861e10 | + | 5.81728e10i | 0.00521966 | + | 0.00904071i | ||||
\(703\) | 1.11737e12 | + | 1.93533e12i | 0.172543 | + | 0.298852i | ||||
\(704\) | 1.17252e13 | 1.79906 | ||||||||
\(705\) | −3.28080e12 | − | 5.68251e12i | −0.500183 | − | 0.866342i | ||||
\(706\) | −1.76136e11 | − | 3.05077e11i | −0.0266825 | − | 0.0462155i | ||||
\(707\) | −8.77952e12 | + | 1.52066e13i | −1.32155 | + | 2.28899i | ||||
\(708\) | −1.60737e12 | + | 2.78404e12i | −0.240417 | + | 0.416415i | ||||
\(709\) | −1.10662e12 | −0.164471 | −0.0822357 | − | 0.996613i | \(-0.526206\pi\) | ||||
−0.0822357 | + | 0.996613i | \(0.526206\pi\) | |||||||
\(710\) | 4.64503e11 | 0.0686003 | ||||||||
\(711\) | 4.31529e12 | − | 7.47430e12i | 0.633282 | − | 1.09688i | ||||
\(712\) | −5.17182e11 | + | 8.95786e11i | −0.0754195 | + | 0.130630i | ||||
\(713\) | 2.63774e11 | + | 4.56869e11i | 0.0382233 | + | 0.0662048i | ||||
\(714\) | 1.90228e11 | + | 3.29484e11i | 0.0273925 | + | 0.0474452i | ||||
\(715\) | 9.45785e12 | 1.35337 | ||||||||
\(716\) | 1.48717e12 | + | 2.57586e12i | 0.211472 | + | 0.366280i | ||||
\(717\) | −6.48154e12 | − | 1.12264e13i | −0.915887 | − | 1.58636i | ||||
\(718\) | −2.95786e11 | − | 5.12316e11i | −0.0415353 | − | 0.0719412i | ||||
\(719\) | 5.74275e12 | − | 9.94674e12i | 0.801383 | − | 1.38804i | −0.117323 | − | 0.993094i | \(-0.537431\pi\) |
0.918706 | − | 0.394943i | \(-0.129236\pi\) | |||||||
\(720\) | 4.01509e12 | 0.556800 | ||||||||
\(721\) | −3.38702e12 | + | 5.86650e12i | −0.466777 | + | 0.808482i | ||||
\(722\) | 2.60276e11 | + | 4.50811e11i | 0.0356464 | + | 0.0617414i | ||||
\(723\) | 5.57461e12 | 0.758738 | ||||||||
\(724\) | −4.49851e12 | − | 7.79165e12i | −0.608478 | − | 1.05392i | ||||
\(725\) | 3.30844e12 | − | 5.73039e12i | 0.444736 | − | 0.770305i | ||||
\(726\) | −1.06801e12 | + | 1.84985e12i | −0.142679 | + | 0.247127i | ||||
\(727\) | −3.07771e12 | −0.408624 | −0.204312 | − | 0.978906i | \(-0.565496\pi\) | ||||
−0.204312 | + | 0.978906i | \(0.565496\pi\) | |||||||
\(728\) | −1.23002e12 | + | 2.13046e12i | −0.162301 | + | 0.281114i | ||||
\(729\) | −8.61204e12 | −1.12936 | ||||||||
\(730\) | −1.35099e11 | −0.0176075 | ||||||||
\(731\) | −2.19922e12 | − | 1.10014e12i | −0.284866 | − | 0.142502i | ||||
\(732\) | −1.05095e13 | −1.35295 | ||||||||
\(733\) | −5.64679e12 | −0.722493 | −0.361247 | − | 0.932470i | \(-0.617649\pi\) | ||||
−0.361247 | + | 0.932470i | \(0.617649\pi\) | |||||||
\(734\) | 5.36989e11 | − | 9.30091e11i | 0.0682862 | − | 0.118275i | ||||
\(735\) | 7.63887e12 | 0.965465 | ||||||||
\(736\) | −6.06388e11 | + | 1.05029e12i | −0.0761729 | + | 0.131935i | ||||
\(737\) | 2.87955e12 | − | 4.98752e12i | 0.359518 | − | 0.622703i | ||||
\(738\) | −3.25986e11 | − | 5.64625e11i | −0.0404525 | − | 0.0700658i | ||||
\(739\) | −4.50869e12 | −0.556096 | −0.278048 | − | 0.960567i | \(-0.589688\pi\) | ||||
−0.278048 | + | 0.960567i | \(0.589688\pi\) | |||||||
\(740\) | −2.31103e12 | − | 4.00282e12i | −0.283310 | − | 0.490708i | ||||
\(741\) | 2.58444e12 | − | 4.47638e12i | 0.314908 | − | 0.545437i | ||||
\(742\) | −2.22635e11 | −0.0269635 | ||||||||
\(743\) | 1.96229e12 | − | 3.39878e12i | 0.236218 | − | 0.409142i | −0.723408 | − | 0.690421i | \(-0.757425\pi\) |
0.959626 | + | 0.281279i | \(0.0907587\pi\) | |||||||
\(744\) | −1.13096e11 | − | 1.95888e11i | −0.0135323 | − | 0.0234385i | ||||
\(745\) | −1.43176e12 | − | 2.47988e12i | −0.170281 | − | 0.294936i | ||||
\(746\) | −3.18367e11 | − | 5.51427e11i | −0.0376359 | − | 0.0651874i | ||||
\(747\) | 6.48203e12 | 0.761673 | ||||||||
\(748\) | 2.53318e12 | + | 4.38760e12i | 0.295876 | + | 0.512472i | ||||
\(749\) | −6.84838e12 | − | 1.18617e13i | −0.795096 | − | 1.37715i | ||||
\(750\) | 4.52453e11 | − | 7.83672e11i | 0.0522153 | − | 0.0904396i | ||||
\(751\) | 3.56008e12 | − | 6.16624e12i | 0.408395 | − | 0.707360i | −0.586315 | − | 0.810083i | \(-0.699422\pi\) |
0.994710 | + | 0.102722i | \(0.0327554\pi\) | |||||||
\(752\) | 1.12552e13 | 1.28343 | ||||||||
\(753\) | 7.56246e12 | 0.857207 | ||||||||
\(754\) | 5.95775e11 | − | 1.03191e12i | 0.0671291 | − | 0.116271i | ||||
\(755\) | 4.51146e12 | − | 7.81407e12i | 0.505307 | − | 0.875218i | ||||
\(756\) | 6.47347e11 | + | 1.12124e12i | 0.0720757 | + | 0.124839i | ||||
\(757\) | −1.97227e12 | − | 3.41607e12i | −0.218290 | − | 0.378090i | 0.735995 | − | 0.676987i | \(-0.236715\pi\) |
−0.954285 | + | 0.298897i | \(0.903381\pi\) | |||||||
\(758\) | −1.25658e11 | −0.0138254 | ||||||||
\(759\) | 7.91281e12 | + | 1.37054e13i | 0.865452 | + | 1.49901i | ||||
\(760\) | 1.24830e11 | + | 2.16212e11i | 0.0135724 | + | 0.0235081i | ||||
\(761\) | 5.62495e12 | + | 9.74270e12i | 0.607978 | + | 1.05305i | 0.991573 | + | 0.129547i | \(0.0413523\pi\) |
−0.383596 | + | 0.923501i | \(0.625314\pi\) | |||||||
\(762\) | 8.92122e11 | − | 1.54520e12i | 0.0958577 | − | 0.166030i | ||||
\(763\) | 1.37697e13 | 1.47084 | ||||||||
\(764\) | −2.10755e12 | + | 3.65038e12i | −0.223799 | + | 0.387631i | ||||
\(765\) | 8.56222e11 | + | 1.48302e12i | 0.0903878 | + | 0.156556i | ||||
\(766\) | 5.53429e11 | 0.0580807 | ||||||||
\(767\) | −2.19520e12 | − | 3.80220e12i | −0.229032 | − | 0.396694i | ||||
\(768\) | −6.49641e12 | + | 1.12521e13i | −0.673826 | + | 1.16710i | ||||
\(769\) | −8.55036e12 | + | 1.48097e13i | −0.881690 | + | 1.52713i | −0.0322289 | + | 0.999481i | \(0.510261\pi\) |
−0.849461 | + | 0.527651i | \(0.823073\pi\) | |||||||
\(770\) | −1.16042e12 | −0.118962 | ||||||||
\(771\) | 9.97204e11 | − | 1.72721e12i | 0.101634 | − | 0.176035i | ||||
\(772\) | 7.95802e12 | 0.806357 | ||||||||
\(773\) | −4.81342e12 | −0.484894 | −0.242447 | − | 0.970165i | \(-0.577950\pi\) | ||||
−0.242447 | + | 0.970165i | \(0.577950\pi\) | |||||||
\(774\) | 7.57843e11 | + | 3.79105e11i | 0.0759006 | + | 0.0379686i | ||||
\(775\) | 8.55005e11 | 0.0851355 | ||||||||
\(776\) | −9.45128e11 | −0.0935649 | ||||||||
\(777\) | 1.17784e13 | − | 2.04008e13i | 1.15929 | − | 2.00795i | ||||
\(778\) | 8.30562e11 | 0.0812763 | ||||||||
\(779\) | −1.57690e12 | + | 2.73128e12i | −0.153422 | + | 0.265734i | ||||
\(780\) | −5.34535e12 | + | 9.25842e12i | −0.517071 | + | 0.895594i | ||||
\(781\) | 1.57628e13 | + | 2.73020e13i | 1.51602 | + | 2.62582i | ||||
\(782\) | −1.70588e11 | −0.0163124 | ||||||||
\(783\) | −6.29095e11 | − | 1.08962e12i | −0.0598120 | − | 0.103597i | ||||
\(784\) | −6.55152e12 | + | 1.13476e13i | −0.619327 | + | 1.07271i | ||||
\(785\) | −6.30426e12 | −0.592544 | ||||||||
\(786\) | −5.95322e11 | + | 1.03113e12i | −0.0556353 | + | 0.0963631i | ||||
\(787\) | −2.78345e12 | − | 4.82108e12i | −0.258641 | − | 0.447979i | 0.707237 | − | 0.706976i | \(-0.249941\pi\) |
−0.965878 | + | 0.258997i | \(0.916608\pi\) | |||||||
\(788\) | −7.31029e12 | − | 1.26618e13i | −0.675408 | − | 1.16984i | ||||
\(789\) | 8.26395e12 | + | 1.43136e13i | 0.759174 | + | 1.31493i | ||||
\(790\) | −5.49670e11 | −0.0502088 | ||||||||
\(791\) | −7.56149e12 | − | 1.30969e13i | −0.686773 | − | 1.18953i | ||||
\(792\) | −1.75141e12 | − | 3.03353e12i | −0.158170 | − | 0.273959i | ||||
\(793\) | 7.17645e12 | − | 1.24300e13i | 0.644436 | − | 1.11620i | ||||
\(794\) | 5.29704e11 | − | 9.17475e11i | 0.0472978 | − | 0.0819222i | ||||
\(795\) | −1.94119e12 | −0.172352 | ||||||||
\(796\) | 1.10905e13 | 0.979136 | ||||||||
\(797\) | −8.01902e12 | + | 1.38893e13i | −0.703977 | + | 1.21932i | 0.263082 | + | 0.964774i | \(0.415261\pi\) |
−0.967059 | + | 0.254551i | \(0.918072\pi\) | |||||||
\(798\) | −3.17095e11 | + | 5.49225e11i | −0.0276807 | + | 0.0479444i | ||||
\(799\) | 2.40017e12 | + | 4.15722e12i | 0.208345 | + | 0.360864i | ||||
\(800\) | 9.82783e11 | + | 1.70223e12i | 0.0848306 | + | 0.146931i | ||||
\(801\) | −1.18265e13 | −1.01511 | ||||||||
\(802\) | −3.76824e11 | − | 6.52678e11i | −0.0321628 | − | 0.0557076i | ||||
\(803\) | −4.58454e12 | − | 7.94066e12i | −0.389113 | − | 0.673964i | ||||
\(804\) | 3.25490e12 | + | 5.63766e12i | 0.274717 | + | 0.475824i | ||||
\(805\) | −3.06897e12 | + | 5.31562e12i | −0.257580 | + | 0.446141i | ||||
\(806\) | 1.53967e11 | 0.0128505 | ||||||||
\(807\) | 9.10628e12 | − | 1.57725e13i | 0.755806 | − | 1.30909i | ||||
\(808\) | 1.68785e12 | + | 2.92344e12i | 0.139310 | + | 0.241292i | ||||
\(809\) | −9.32459e12 | −0.765352 | −0.382676 | − | 0.923883i | \(-0.624997\pi\) | ||||
−0.382676 | + | 0.923883i | \(0.624997\pi\) | |||||||
\(810\) | 2.40573e11 | + | 4.16685e11i | 0.0196365 | + | 0.0340114i | ||||
\(811\) | 3.92148e12 | − | 6.79220e12i | 0.318314 | − | 0.551337i | −0.661822 | − | 0.749661i | \(-0.730217\pi\) |
0.980136 | + | 0.198324i | \(0.0635499\pi\) | |||||||
\(812\) | 1.14831e13 | − | 1.98894e13i | 0.926953 | − | 1.60553i | ||||
\(813\) | −7.47550e12 | −0.600113 | ||||||||
\(814\) | −9.98449e11 | + | 1.72936e12i | −0.0797106 | + | 0.138063i | ||||
\(815\) | −1.04580e13 | −0.830308 | ||||||||
\(816\) | −5.69009e12 | −0.449276 | ||||||||
\(817\) | −2.44804e11 | − | 4.09172e12i | −0.0192229 | − | 0.321297i | ||||
\(818\) | 8.08743e11 | 0.0631569 | ||||||||
\(819\) | −2.81273e13 | −2.18449 | ||||||||
\(820\) | 3.26148e12 | − | 5.64905e12i | 0.251914 | − | 0.436328i | ||||
\(821\) | −1.51320e13 | −1.16239 | −0.581197 | − | 0.813763i | \(-0.697415\pi\) | ||||
−0.581197 | + | 0.813763i | \(0.697415\pi\) | |||||||
\(822\) | 7.80609e10 | − | 1.35206e11i | 0.00596363 | − | 0.0103293i | ||||
\(823\) | 2.53778e11 | − | 4.39557e11i | 0.0192821 | − | 0.0333977i | −0.856223 | − | 0.516606i | \(-0.827195\pi\) |
0.875505 | + | 0.483208i | \(0.160529\pi\) | |||||||
\(824\) | 6.51150e11 | + | 1.12783e12i | 0.0492049 | + | 0.0852255i | ||||
\(825\) | 2.56489e13 | 1.92764 | ||||||||
\(826\) | 2.69339e11 | + | 4.66508e11i | 0.0201321 | + | 0.0348698i | ||||
\(827\) | −1.03825e13 | + | 1.79831e13i | −0.771843 | + | 1.33687i | 0.164709 | + | 0.986342i | \(0.447332\pi\) |
−0.936552 | + | 0.350529i | \(0.886002\pi\) | |||||||
\(828\) | −9.23452e12 | −0.682775 | ||||||||
\(829\) | 6.77481e11 | − | 1.17343e12i | 0.0498198 | − | 0.0862904i | −0.840040 | − | 0.542524i | \(-0.817469\pi\) |
0.889860 | + | 0.456234i | \(0.150802\pi\) | |||||||
\(830\) | −2.06416e11 | − | 3.57522e11i | −0.0150970 | − | 0.0261488i | ||||
\(831\) | 1.81443e13 | + | 3.14269e13i | 1.31988 | + | 2.28611i | ||||
\(832\) | −9.05032e12 | − | 1.56756e13i | −0.654801 | − | 1.13415i | ||||
\(833\) | −5.58847e12 | −0.402152 | ||||||||
\(834\) | 8.29138e11 | + | 1.43611e12i | 0.0593444 | + | 0.102787i | ||||
\(835\) | 6.20553e12 | + | 1.07483e13i | 0.441763 | + | 0.765156i | ||||
\(836\) | −4.22263e12 | + | 7.31381e12i | −0.298989 | + | 0.517864i | ||||
\(837\) | 8.12889e10 | − | 1.40796e11i | 0.00572488 | − | 0.00991579i | ||||
\(838\) | 1.59694e12 | 0.111864 | ||||||||
\(839\) | −6.29644e12 | −0.438699 | −0.219349 | − | 0.975646i | \(-0.570393\pi\) | ||||
−0.219349 | + | 0.975646i | \(0.570393\pi\) | |||||||
\(840\) | 1.31586e12 | − | 2.27914e12i | 0.0911913 | − | 0.157948i | ||||
\(841\) | −3.90578e12 | + | 6.76501e12i | −0.269232 | + | 0.466323i | ||||
\(842\) | −4.23731e11 | − | 7.33923e11i | −0.0290526 | − | 0.0503206i | ||||
\(843\) | 1.21547e13 | + | 2.10526e13i | 0.828935 | + | 1.43576i | ||||
\(844\) | −1.55098e13 | −1.05212 | ||||||||
\(845\) | −3.35899e12 | − | 5.81794e12i | −0.226649 | − | 0.392567i | ||||
\(846\) | −8.27092e11 | − | 1.43256e12i | −0.0555120 | − | 0.0961496i | ||||
\(847\) | −2.81133e13 | − | 4.86937e13i | −1.87688 | − | 3.25085i | ||||
\(848\) | 1.66487e12 | − | 2.88364e12i | 0.110560 | − | 0.191496i | ||||
\(849\) | −3.43933e13 | −2.27190 | ||||||||
\(850\) | −1.38238e11 | + | 2.39435e11i | −0.00908325 | + | 0.0157326i | ||||
\(851\) | 5.28120e12 | + | 9.14731e12i | 0.345183 | + | 0.597875i | ||||
\(852\) | −3.56350e13 | −2.31685 | ||||||||
\(853\) | 8.57771e12 | + | 1.48570e13i | 0.554754 | + | 0.960862i | 0.997923 | + | 0.0644240i | \(0.0205210\pi\) |
−0.443168 | + | 0.896438i | \(0.646146\pi\) | |||||||
\(854\) | −8.80508e11 | + | 1.52508e12i | −0.0566465 | + | 0.0981145i | ||||
\(855\) | −1.42726e12 | + | 2.47208e12i | −0.0913388 | + | 0.158203i | ||||
\(856\) | −2.63318e12 | −0.167629 | ||||||||
\(857\) | 1.06538e13 | − | 1.84528e13i | 0.674666 | − | 1.16856i | −0.301900 | − | 0.953340i | \(-0.597621\pi\) |
0.976566 | − | 0.215217i | \(-0.0690457\pi\) | |||||||
\(858\) | 4.61877e12 | 0.290960 | ||||||||
\(859\) | 9.30555e12 | 0.583140 | 0.291570 | − | 0.956550i | \(-0.405822\pi\) | ||||
0.291570 | + | 0.956550i | \(0.405822\pi\) | |||||||
\(860\) | 5.06323e11 | + | 8.46284e12i | 0.0315635 | + | 0.527562i | ||||
\(861\) | 3.32450e13 | 2.06164 | ||||||||
\(862\) | 1.72694e11 | 0.0106536 | ||||||||
\(863\) | 1.54356e13 | − | 2.67353e13i | 0.947274 | − | 1.64073i | 0.196142 | − | 0.980576i | \(-0.437159\pi\) |
0.751133 | − | 0.660151i | \(-0.229508\pi\) | |||||||
\(864\) | 3.73749e11 | 0.0228175 | ||||||||
\(865\) | −8.01579e11 | + | 1.38838e12i | −0.0486826 | + | 0.0843208i | ||||
\(866\) | 1.13995e12 | − | 1.97445e12i | 0.0688740 | − | 0.119293i | ||||
\(867\) | 1.07467e13 | + | 1.86138e13i | 0.645934 | + | 1.11879i | ||||
\(868\) | 2.96760e12 | 0.177446 | ||||||||
\(869\) | −1.86529e13 | − | 3.23078e13i | −1.10958 | − | 1.92184i | ||||
\(870\) | −6.37351e11 | + | 1.10392e12i | −0.0377174 | + | 0.0653285i | ||||
\(871\) | −8.89052e12 | −0.523414 | ||||||||
\(872\) | 1.32360e12 | − | 2.29255e12i | 0.0775236 | − | 0.134275i | ||||
\(873\) | −5.40312e12 | − | 9.35848e12i | −0.314833 | − | 0.545307i | ||||
\(874\) | −1.42179e11 | − | 2.46262e11i | −0.00824204 | − | 0.0142756i | ||||
\(875\) | 1.19100e13 | + | 2.06287e13i | 0.686870 | + | 1.18969i | ||||
\(876\) | 1.03643e13 | 0.594663 | ||||||||
\(877\) | −5.63149e12 | − | 9.75403e12i | −0.321459 | − | 0.556783i | 0.659331 | − | 0.751853i | \(-0.270840\pi\) |
−0.980789 | + | 0.195070i | \(0.937506\pi\) | |||||||
\(878\) | 5.20461e11 | + | 9.01465e11i | 0.0295572 | + | 0.0511945i | ||||
\(879\) | 1.45182e13 | − | 2.51462e13i | 0.820280 | − | 1.42077i | ||||
\(880\) | 8.67765e12 | − | 1.50301e13i | 0.487787 | − | 0.844872i | ||||
\(881\) | −4.80298e12 | −0.268608 | −0.134304 | − | 0.990940i | \(-0.542880\pi\) | ||||
−0.134304 | + | 0.990940i | \(0.542880\pi\) | |||||||
\(882\) | 1.92577e12 | 0.107151 | ||||||||
\(883\) | −7.23490e12 | + | 1.25312e13i | −0.400507 | + | 0.693698i | −0.993787 | − | 0.111298i | \(-0.964499\pi\) |
0.593281 | + | 0.804996i | \(0.297832\pi\) | |||||||
\(884\) | 3.91056e12 | − | 6.77329e12i | 0.215379 | − | 0.373048i | ||||
\(885\) | 2.34840e12 | + | 4.06754e12i | 0.128685 | + | 0.222888i | ||||
\(886\) | −4.47995e11 | − | 7.75950e11i | −0.0244243 | − | 0.0423040i | ||||
\(887\) | 4.67749e12 | 0.253721 | 0.126861 | − | 0.991921i | \(-0.459510\pi\) | ||||
0.126861 | + | 0.991921i | \(0.459510\pi\) | |||||||
\(888\) | −2.26438e12 | − | 3.92202e12i | −0.122206 | − | 0.211666i | ||||
\(889\) | 2.34834e13 | + | 4.06745e13i | 1.26097 | + | 2.18406i | ||||
\(890\) | 3.76608e11 | + | 6.52304e11i | 0.0201203 | + | 0.0348494i | ||||
\(891\) | −1.63276e13 | + | 2.82802e13i | −0.867905 | + | 1.50326i | ||||
\(892\) | 2.05633e13 | 1.08755 | ||||||||
\(893\) | −4.00092e12 | + | 6.92979e12i | −0.210537 | + | 0.364660i | ||||
\(894\) | −6.99205e11 | − | 1.21106e12i | −0.0366088 | − | 0.0634083i | ||||
\(895\) | 4.34557e12 | 0.226383 | ||||||||
\(896\) | 4.54323e12 | + | 7.86911e12i | 0.235494 | + | 0.407887i | ||||
\(897\) | 1.22153e13 | − | 2.11575e13i | 0.629996 | − | 1.09118i | ||||
\(898\) | −5.66083e11 | + | 9.80484e11i | −0.0290494 | + | 0.0503150i | ||||
\(899\) | −2.88393e12 | −0.147253 | ||||||||
\(900\) | −7.48327e12 | + | 1.29614e13i | −0.380189 | + | 0.658507i | ||||
\(901\) | 1.42014e12 | 0.0717908 | ||||||||
\(902\) | −2.81816e12 | −0.141754 | ||||||||
\(903\) | −3.60630e13 | + | 2.38007e13i | −1.80496 | + | 1.19123i | ||||
\(904\) | −2.90737e12 | −0.144791 | ||||||||
\(905\) | −1.31448e13 | −0.651382 | ||||||||
\(906\) | 2.20319e12 | − | 3.81603e12i | 0.108636 | − | 0.188163i | ||||
\(907\) | −2.06871e13 | −1.01500 | −0.507501 | − | 0.861651i | \(-0.669431\pi\) | ||||
−0.507501 | + | 0.861651i | \(0.669431\pi\) | |||||||
\(908\) | −1.36816e13 | + | 2.36972e13i | −0.667959 | + | 1.15694i | ||||
\(909\) | −1.92982e13 | + | 3.34255e13i | −0.937520 | + | 1.62383i | ||||
\(910\) | 8.95693e11 | + | 1.55139e12i | 0.0432985 | + | 0.0749952i | ||||
\(911\) | 7.22173e12 | 0.347383 | 0.173691 | − | 0.984800i | \(-0.444430\pi\) | ||||
0.173691 | + | 0.984800i | \(0.444430\pi\) | |||||||
\(912\) | −4.74248e12 | − | 8.21422e12i | −0.227002 | − | 0.393178i | ||||
\(913\) | 1.40093e13 | − | 2.42649e13i | 0.667266 | − | 1.15574i | ||||
\(914\) | −1.73337e12 | −0.0821547 | ||||||||
\(915\) | −7.67726e12 | + | 1.32974e13i | −0.362086 | + | 0.627151i | ||||
\(916\) | −7.82255e12 | − | 1.35491e13i | −0.367129 | − | 0.635887i | ||||
\(917\) | −1.56707e13 | − | 2.71425e13i | −0.731858 | − | 1.26761i | ||||
\(918\) | 2.62857e10 | + | 4.55281e10i | 0.00122159 | + | 0.00211586i | ||||
\(919\) | 4.27506e13 | 1.97707 | 0.988535 | − | 0.150992i | \(-0.0482468\pi\) | ||||
0.988535 | + | 0.150992i | \(0.0482468\pi\) | |||||||
\(920\) | 5.90005e11 | + | 1.02192e12i | 0.0271526 | + | 0.0470296i | ||||
\(921\) | 1.22461e13 | + | 2.12108e13i | 0.560827 | + | 0.971380i | ||||
\(922\) | −1.37824e12 | + | 2.38717e12i | −0.0628108 | + | 0.108792i | ||||
\(923\) | 2.43336e13 | − | 4.21470e13i | 1.10357 | − | 1.91143i | ||||
\(924\) | 8.90235e13 | 4.01773 | ||||||||
\(925\) | 1.71187e13 | 0.768833 | ||||||||
\(926\) | 5.10422e11 | − | 8.84077e11i | 0.0228129 | − | 0.0395131i | ||||
\(927\) | −7.44501e12 | + | 1.28951e13i | −0.331136 | + | 0.573545i | ||||
\(928\) | −3.31492e12 | − | 5.74161e12i | −0.146726 | − | 0.254137i | ||||
\(929\) | 1.23126e11 | + | 2.13261e11i | 0.00542351 | + | 0.00939379i | 0.868724 | − | 0.495296i | \(-0.164940\pi\) |
−0.863301 | + | 0.504690i | \(0.831607\pi\) | |||||||
\(930\) | −1.64712e11 | −0.00722023 | ||||||||
\(931\) | −4.65778e12 | − | 8.06752e12i | −0.203192 | − | 0.351938i | ||||
\(932\) | 2.85970e12 | + | 4.95314e12i | 0.124151 | + | 0.215035i | ||||
\(933\) | −7.56375e10 | − | 1.31008e11i | −0.00326791 | − | 0.00566018i | ||||
\(934\) | 3.28678e11 | − | 5.69287e11i | 0.0141322 | − | 0.0244777i | ||||
\(935\) | 7.40206e12 | 0.316738 | ||||||||
\(936\) | −2.70371e12 | + | 4.68296e12i | −0.115138 | + | 0.199425i | ||||
\(937\) | −1.23868e12 | − | 2.14546e12i | −0.0524967 | − | 0.0909270i | 0.838583 | − | 0.544774i | \(-0.183385\pi\) |
−0.891080 | + | 0.453847i | \(0.850051\pi\) | |||||||
\(938\) | 1.09081e12 | 0.0460085 | ||||||||
\(939\) | −3.73290e12 | − | 6.46558e12i | −0.156694 | − | 0.271401i | ||||
\(940\) | 8.27503e12 | − | 1.43328e13i | 0.345696 | − | 0.598763i | ||||
\(941\) | 5.01419e12 | − | 8.68483e12i | 0.208472 | − | 0.361084i | −0.742761 | − | 0.669556i | \(-0.766484\pi\) |
0.951233 | + | 0.308472i | \(0.0998177\pi\) | |||||||
\(942\) | −3.07871e12 | −0.127391 | ||||||||
\(943\) | −7.45319e12 | + | 1.29093e13i | −0.306930 | + | 0.531619i | ||||
\(944\) | −8.05646e12 | −0.330195 | ||||||||
\(945\) | 1.89157e12 | 0.0771578 | ||||||||
\(946\) | 3.05704e12 | − | 2.01757e12i | 0.124105 | − | 0.0819067i | ||||
\(947\) | 7.73377e12 | 0.312476 | 0.156238 | − | 0.987719i | \(-0.450063\pi\) | ||||
0.156238 | + | 0.987719i | \(0.450063\pi\) | |||||||
\(948\) | 4.21687e13 | 1.69571 | ||||||||
\(949\) | −7.07732e12 | + | 1.22583e13i | −0.283251 | + | 0.490604i | ||||
\(950\) | −4.60864e11 | −0.0183576 | ||||||||
\(951\) | 1.76797e13 | − | 3.06221e13i | 0.700909 | − | 1.21401i | ||||
\(952\) | −9.62661e11 | + | 1.66738e12i | −0.0379845 | + | 0.0657912i | ||||
\(953\) | 5.43353e12 | + | 9.41116e12i | 0.213385 | + | 0.369594i | 0.952772 | − | 0.303687i | \(-0.0982177\pi\) |
−0.739387 | + | 0.673281i | \(0.764884\pi\) | |||||||
\(954\) | −4.89374e11 | −0.0191282 | ||||||||
\(955\) | 3.07917e12 | + | 5.33328e12i | 0.119790 | + | 0.207482i | ||||
\(956\) | 1.63481e13 | − | 2.83158e13i | 0.633005 | − | 1.09640i | ||||
\(957\) | −8.65135e13 | −3.33411 | ||||||||
\(958\) | 1.49518e12 | − | 2.58972e12i | 0.0573519 | − | 0.0993365i | ||||
\(959\) | 2.05481e12 | + | 3.55903e12i | 0.0784489 | + | 0.135878i | ||||
\(960\) | 9.68191e12 | + | 1.67696e13i | 0.367909 | + | 0.637237i | ||||
\(961\) | 1.30335e13 | + | 2.25747e13i | 0.492953 | + | 0.853819i | ||||
\(962\) | 3.08268e12 | 0.116049 | ||||||||
\(963\) | −1.50534e13 | − | 2.60733e13i | −0.564049 | − | 0.976961i | ||||
\(964\) | 7.03030e12 | + | 1.21768e13i | 0.262197 | + | 0.454138i | ||||
\(965\) | 5.81341e12 | − | 1.00691e13i | 0.215803 | − | 0.373782i | ||||
\(966\) | −1.49874e12 | + | 2.59590e12i | −0.0553771 | + | 0.0959160i | ||||
\(967\) | 4.88036e13 | 1.79487 | 0.897434 | − | 0.441149i | \(-0.145429\pi\) | ||||
0.897434 | + | 0.441149i | \(0.145429\pi\) | |||||||
\(968\) | −1.08095e13 | −0.395700 | ||||||||
\(969\) | 2.02268e12 | − | 3.50338e12i | 0.0737003 | − | 0.127653i | ||||
\(970\) | −3.44117e11 | + | 5.96029e11i | −0.0124805 | + | 0.0216169i | ||||
\(971\) | −1.51692e13 | − | 2.62738e13i | −0.547614 | − | 0.948496i | −0.998437 | − | 0.0558827i | \(-0.982203\pi\) |
0.450823 | − | 0.892613i | \(-0.351131\pi\) | |||||||
\(972\) | −1.97894e13 | − | 3.42762e13i | −0.711106 | − | 1.23167i | ||||
\(973\) | −4.36510e13 | −1.56130 | ||||||||
\(974\) | −1.00354e11 | − | 1.73817e11i | −0.00357287 | − | 0.00618839i | ||||
\(975\) | −1.97975e13 | − | 3.42903e13i | −0.701600 | − | 1.21521i | ||||
\(976\) | −1.31689e13 | − | 2.28092e13i | −0.464542 | − | 0.804610i | ||||
\(977\) | 1.27406e13 | − | 2.20673e13i | 0.447367 | − | 0.774862i | −0.550847 | − | 0.834606i | \(-0.685695\pi\) |
0.998214 | + | 0.0597445i | \(0.0190286\pi\) | |||||||
\(978\) | −5.10720e12 | −0.178508 | ||||||||
\(979\) | −2.55602e13 | + | 4.42716e13i | −0.889288 | + | 1.54029i | ||||
\(980\) | 9.63361e12 | + | 1.66859e13i | 0.333635 | + | 0.577873i | ||||
\(981\) | 3.02672e13 | 1.04343 | ||||||||
\(982\) | 4.99173e10 | + | 8.64593e10i | 0.00171297 | + | 0.00296695i | ||||
\(983\) | −1.13122e13 | + | 1.95933e13i | −0.386416 | + | 0.669293i | −0.991965 | − | 0.126516i | \(-0.959621\pi\) |
0.605548 | + | 0.795809i | \(0.292954\pi\) | |||||||
\(984\) | 3.19565e12 | − | 5.53503e12i | 0.108663 | − | 0.188210i | ||||
\(985\) | −2.13609e13 | −0.723032 | ||||||||
\(986\) | 4.66275e11 | − | 8.07612e11i | 0.0157107 | − | 0.0272118i | ||||
\(987\) | 8.43492e13 | 2.82914 | ||||||||
\(988\) | 1.30372e13 | 0.435291 | ||||||||
\(989\) | −1.15706e12 | − | 1.93394e13i | −0.0384567 | − | 0.642777i | ||||
\(990\) | −2.55072e12 | −0.0843927 | ||||||||
\(991\) | −1.38090e13 | −0.454812 | −0.227406 | − | 0.973800i | \(-0.573024\pi\) | ||||
−0.227406 | + | 0.973800i | \(0.573024\pi\) | |||||||
\(992\) | 4.28340e11 | − | 7.41906e11i | 0.0140438 | − | 0.0243246i | ||||
\(993\) | −5.03799e13 | −1.64432 | ||||||||
\(994\) | −2.98559e12 | + | 5.17119e12i | −0.0970043 | + | 0.168016i | ||||
\(995\) | 8.10173e12 | − | 1.40326e13i | 0.262044 | − | 0.453873i | ||||
\(996\) | 1.58355e13 | + | 2.74278e13i | 0.509875 | + | 0.883130i | ||||
\(997\) | 1.57051e13 | 0.503399 | 0.251700 | − | 0.967805i | \(-0.419010\pi\) | ||||
0.251700 | + | 0.967805i | \(0.419010\pi\) | |||||||
\(998\) | 1.60098e12 | + | 2.77298e12i | 0.0510857 | + | 0.0884830i | ||||
\(999\) | 1.62754e12 | − | 2.81899e12i | 0.0516997 | − | 0.0895464i |
(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 | 43.10.c.a.6.17 | ✓ | 64 | |
43.36 | even | 3 | inner | 43.10.c.a.36.17 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.10.c.a.6.17 | ✓ | 64 | 1.1 | even | 1 | trivial | |
43.10.c.a.36.17 | yes | 64 | 43.36 | even | 3 | inner |