Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [69,8,Mod(4,69)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(69, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 8, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("69.4");
S:= CuspForms(chi, 8);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 69 = 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 8 \) |
Character orbit: | \([\chi]\) | \(=\) | 69.e (of order \(11\), degree \(10\), 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: | \(21.5545667584\) |
Analytic rank: | \(0\) |
Dimension: | \(140\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 58.9 | ||
Character | \(\chi\) | \(=\) | 69.58 |
Dual form | 69.8.e.a.25.9 |
$q$-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 \(\left(\mathbb{Z}/69\mathbb{Z}\right)^\times\).
\(n\) | \(28\) | \(47\) |
\(\chi(n)\) | \(e\left(\frac{10}{11}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 5.04389 | − | 3.24151i | 0.445821 | − | 0.286512i | −0.298405 | − | 0.954439i | \(-0.596455\pi\) |
0.744226 | + | 0.667927i | \(0.232818\pi\) | |||||||
\(3\) | −3.84250 | + | 26.7252i | −0.0821655 | + | 0.571474i | ||||
\(4\) | −38.2397 | + | 83.7333i | −0.298748 | + | 0.654166i | ||||
\(5\) | −133.665 | + | 39.2476i | −0.478214 | + | 0.140416i | −0.511951 | − | 0.859014i | \(-0.671077\pi\) |
0.0337373 | + | 0.999431i | \(0.489259\pi\) | |||||||
\(6\) | 67.2488 | + | 147.254i | 0.127103 | + | 0.278316i | ||||
\(7\) | −394.589 | − | 455.380i | −0.434812 | − | 0.501800i | 0.495480 | − | 0.868619i | \(-0.334992\pi\) |
−0.930292 | + | 0.366819i | \(0.880447\pi\) | |||||||
\(8\) | 187.765 | + | 1305.93i | 0.129658 | + | 0.901790i | ||||
\(9\) | −699.470 | − | 205.383i | −0.319831 | − | 0.0939109i | ||||
\(10\) | −546.970 | + | 631.236i | −0.172967 | + | 0.199614i | ||||
\(11\) | −594.734 | − | 382.212i | −0.134725 | − | 0.0865825i | 0.471542 | − | 0.881843i | \(-0.343697\pi\) |
−0.606267 | + | 0.795261i | \(0.707334\pi\) | |||||||
\(12\) | −2090.85 | − | 1343.71i | −0.349292 | − | 0.224476i | ||||
\(13\) | 1356.70 | − | 1565.71i | 0.171270 | − | 0.197656i | −0.663625 | − | 0.748065i | \(-0.730983\pi\) |
0.834895 | + | 0.550409i | \(0.185528\pi\) | |||||||
\(14\) | −3466.38 | − | 1017.82i | −0.337620 | − | 0.0991341i | ||||
\(15\) | −535.291 | − | 3723.03i | −0.0409515 | − | 0.284824i | ||||
\(16\) | −2535.73 | − | 2926.39i | −0.154769 | − | 0.178612i | ||||
\(17\) | −1140.51 | − | 2497.37i | −0.0563026 | − | 0.123286i | 0.879390 | − | 0.476103i | \(-0.157951\pi\) |
−0.935692 | + | 0.352817i | \(0.885224\pi\) | |||||||
\(18\) | −4193.80 | + | 1231.41i | −0.169494 | + | 0.0497679i | ||||
\(19\) | 20020.6 | − | 43839.0i | 0.669637 | − | 1.46630i | −0.203624 | − | 0.979049i | \(-0.565272\pi\) |
0.873261 | − | 0.487252i | \(-0.162001\pi\) | |||||||
\(20\) | 1824.98 | − | 12693.0i | 0.0510097 | − | 0.354781i | ||||
\(21\) | 13686.3 | − | 8795.66i | 0.322492 | − | 0.207253i | ||||
\(22\) | −4238.72 | −0.0848701 | ||||||||
\(23\) | 34894.8 | − | 46767.2i | 0.598017 | − | 0.801483i | ||||
\(24\) | −35622.7 | −0.526003 | ||||||||
\(25\) | −49397.0 | + | 31745.5i | −0.632282 | + | 0.406343i | ||||
\(26\) | 1767.76 | − | 12295.0i | 0.0197250 | − | 0.137190i | ||||
\(27\) | 8176.61 | − | 17904.3i | 0.0799467 | − | 0.175059i | ||||
\(28\) | 53219.4 | − | 15626.6i | 0.458160 | − | 0.134528i | ||||
\(29\) | −71020.4 | − | 155513.i | −0.540742 | − | 1.18406i | −0.960973 | − | 0.276642i | \(-0.910778\pi\) |
0.420231 | − | 0.907417i | \(-0.361949\pi\) | |||||||
\(30\) | −14768.2 | − | 17043.4i | −0.0998625 | − | 0.115247i | ||||
\(31\) | 13700.4 | + | 95288.0i | 0.0825973 | + | 0.574477i | 0.988526 | + | 0.151048i | \(0.0482647\pi\) |
−0.905929 | + | 0.423429i | \(0.860826\pi\) | |||||||
\(32\) | −184313. | − | 54119.3i | −0.994332 | − | 0.291962i | ||||
\(33\) | 12500.0 | − | 14425.7i | 0.0605494 | − | 0.0698777i | ||||
\(34\) | −13847.9 | − | 8899.49i | −0.0604237 | − | 0.0388319i | ||||
\(35\) | 70615.2 | + | 45381.6i | 0.278394 | + | 0.178913i | ||||
\(36\) | 43944.9 | − | 50715.2i | 0.156982 | − | 0.181167i | ||||
\(37\) | −199135. | − | 58471.2i | −0.646310 | − | 0.189774i | −0.0578821 | − | 0.998323i | \(-0.518435\pi\) |
−0.588428 | + | 0.808550i | \(0.700253\pi\) | |||||||
\(38\) | −41122.9 | − | 286016.i | −0.121574 | − | 0.845567i | ||||
\(39\) | 36630.8 | + | 42274.2i | 0.0988827 | + | 0.114117i | ||||
\(40\) | −76352.2 | − | 167188.i | −0.188630 | − | 0.413043i | ||||
\(41\) | −231060. | + | 67845.4i | −0.523579 | + | 0.153737i | −0.532833 | − | 0.846221i | \(-0.678872\pi\) |
0.00925409 | + | 0.999957i | \(0.497054\pi\) | |||||||
\(42\) | 40521.0 | − | 88728.6i | 0.0843933 | − | 0.184795i | ||||
\(43\) | −17807.8 | + | 123856.i | −0.0341562 | + | 0.237562i | −0.999747 | − | 0.0225055i | \(-0.992836\pi\) |
0.965590 | + | 0.260067i | \(0.0837448\pi\) | |||||||
\(44\) | 54746.3 | − | 35183.3i | 0.0968881 | − | 0.0622662i | ||||
\(45\) | 101555. | 0.166134 | ||||||||
\(46\) | 24409.2 | − | 349001.i | 0.0369744 | − | 0.528657i | ||||
\(47\) | −772468. | −1.08527 | −0.542635 | − | 0.839968i | \(-0.682573\pi\) | ||||
−0.542635 | + | 0.839968i | \(0.682573\pi\) | |||||||
\(48\) | 87951.8 | − | 56523.2i | 0.114789 | − | 0.0737704i | ||||
\(49\) | 65532.0 | − | 455785.i | 0.0795733 | − | 0.553444i | ||||
\(50\) | −146250. | + | 320242.i | −0.165462 | + | 0.362312i | ||||
\(51\) | 71125.2 | − | 20884.2i | 0.0750806 | − | 0.0220457i | ||||
\(52\) | 79222.5 | + | 173473.i | 0.0781334 | + | 0.171088i | ||||
\(53\) | 135834. | + | 156761.i | 0.125327 | + | 0.144635i | 0.814945 | − | 0.579538i | \(-0.196767\pi\) |
−0.689618 | + | 0.724173i | \(0.742222\pi\) | |||||||
\(54\) | −16795.0 | − | 116812.i | −0.0145145 | − | 0.100951i | ||||
\(55\) | 94495.9 | + | 27746.5i | 0.0765850 | + | 0.0224874i | ||||
\(56\) | 520605. | − | 600810.i | 0.396141 | − | 0.457171i | ||||
\(57\) | 1.09468e6 | + | 703506.i | 0.782931 | + | 0.503160i | ||||
\(58\) | −862316. | − | 554177.i | −0.580321 | − | 0.372950i | ||||
\(59\) | 563525. | − | 650343.i | 0.357216 | − | 0.412250i | −0.548489 | − | 0.836158i | \(-0.684797\pi\) |
0.905705 | + | 0.423908i | \(0.139342\pi\) | |||||||
\(60\) | 332211. | + | 97545.8i | 0.198556 | + | 0.0583014i | ||||
\(61\) | −54877.9 | − | 381684.i | −0.0309559 | − | 0.215303i | 0.968472 | − | 0.249122i | \(-0.0801421\pi\) |
−0.999428 | + | 0.0338192i | \(0.989233\pi\) | |||||||
\(62\) | 377980. | + | 436212.i | 0.201418 | + | 0.232449i | ||||
\(63\) | 182476. | + | 399566.i | 0.0919419 | + | 0.201325i | ||||
\(64\) | −629523. | + | 184845.i | −0.300180 | + | 0.0881408i | ||||
\(65\) | −119892. | + | 262528.i | −0.0541496 | + | 0.118571i | ||||
\(66\) | 16287.3 | − | 113280.i | 0.00697340 | − | 0.0485011i | ||||
\(67\) | −1.12460e6 | + | 722734.i | −0.456809 | + | 0.293573i | −0.748737 | − | 0.662867i | \(-0.769340\pi\) |
0.291928 | + | 0.956440i | \(0.405703\pi\) | |||||||
\(68\) | 252726. | 0.0974695 | ||||||||
\(69\) | 1.11578e6 | + | 1.11227e6i | 0.408890 | + | 0.407606i | ||||
\(70\) | 503280. | 0.175375 | ||||||||
\(71\) | 980570. | − | 630174.i | 0.325143 | − | 0.208957i | −0.367878 | − | 0.929874i | \(-0.619916\pi\) |
0.693021 | + | 0.720917i | \(0.256279\pi\) | |||||||
\(72\) | 136880. | − | 952024.i | 0.0432193 | − | 0.300597i | ||||
\(73\) | −762417. | + | 1.66946e6i | −0.229384 | + | 0.502280i | −0.988968 | − | 0.148129i | \(-0.952675\pi\) |
0.759585 | + | 0.650409i | \(0.225402\pi\) | |||||||
\(74\) | −1.19395e6 | + | 350575.i | −0.342511 | + | 0.100570i | ||||
\(75\) | −658597. | − | 1.44213e6i | −0.180262 | − | 0.394720i | ||||
\(76\) | 2.90520e6 | + | 3.35278e6i | 0.759152 | + | 0.876108i | ||||
\(77\) | 60623.6 | + | 421646.i | 0.0151330 | + | 0.105252i | ||||
\(78\) | 321794. | + | 94487.3i | 0.0767798 | + | 0.0225446i | ||||
\(79\) | −5.01173e6 | + | 5.78384e6i | −1.14365 | + | 1.31984i | −0.203501 | + | 0.979075i | \(0.565232\pi\) |
−0.940148 | + | 0.340766i | \(0.889314\pi\) | |||||||
\(80\) | 453791. | + | 291634.i | 0.0990926 | + | 0.0636830i | ||||
\(81\) | 447077. | + | 287319.i | 0.0934726 | + | 0.0600712i | ||||
\(82\) | −945521. | + | 1.09119e6i | −0.189375 | + | 0.218550i | ||||
\(83\) | 8.06714e6 | + | 2.36873e6i | 1.54862 | + | 0.454717i | 0.940689 | − | 0.339269i | \(-0.110180\pi\) |
0.607935 | + | 0.793987i | \(0.291998\pi\) | |||||||
\(84\) | 213129. | + | 1.48234e6i | 0.0392342 | + | 0.272880i | ||||
\(85\) | 250462. | + | 289049.i | 0.0442360 | + | 0.0510511i | ||||
\(86\) | 311659. | + | 682439.i | 0.0528367 | + | 0.115696i | ||||
\(87\) | 4.42901e6 | − | 1.30047e6i | 0.721089 | − | 0.211731i | ||||
\(88\) | 387473. | − | 848447.i | 0.0606111 | − | 0.132720i | ||||
\(89\) | −91009.2 | + | 632983.i | −0.0136842 | + | 0.0951759i | −0.995519 | − | 0.0945623i | \(-0.969855\pi\) |
0.981835 | + | 0.189738i | \(0.0607639\pi\) | |||||||
\(90\) | 512234. | − | 329193.i | 0.0740662 | − | 0.0475994i | ||||
\(91\) | −1.24833e6 | −0.173654 | ||||||||
\(92\) | 2.58161e6 | + | 4.71022e6i | 0.345647 | + | 0.630644i | ||||
\(93\) | −2.59923e6 | −0.335085 | ||||||||
\(94\) | −3.89624e6 | + | 2.50396e6i | −0.483836 | + | 0.310943i | ||||
\(95\) | −955478. | + | 6.64550e6i | −0.114337 | + | 0.795234i | ||||
\(96\) | 2.15457e6 | − | 4.71785e6i | 0.248549 | − | 0.544246i | ||||
\(97\) | −1.29945e7 | + | 3.81554e6i | −1.44564 | + | 0.424477i | −0.908097 | − | 0.418761i | \(-0.862465\pi\) |
−0.537540 | + | 0.843238i | \(0.680646\pi\) | |||||||
\(98\) | −1.14690e6 | − | 2.51135e6i | −0.123093 | − | 0.269536i | ||||
\(99\) | 337499. | + | 389494.i | 0.0349582 | + | 0.0403439i | ||||
\(100\) | −769230. | − | 5.35011e6i | −0.0769230 | − | 0.535011i | ||||
\(101\) | −1.50996e6 | − | 443365.i | −0.145828 | − | 0.0428190i | 0.208004 | − | 0.978128i | \(-0.433303\pi\) |
−0.353832 | + | 0.935309i | \(0.615122\pi\) | |||||||
\(102\) | 291051. | − | 335891.i | 0.0271562 | − | 0.0313399i | ||||
\(103\) | 1.53711e6 | + | 987840.i | 0.138604 | + | 0.0890751i | 0.608105 | − | 0.793857i | \(-0.291930\pi\) |
−0.469501 | + | 0.882932i | \(0.655566\pi\) | |||||||
\(104\) | 2.29945e6 | + | 1.47777e6i | 0.200451 | + | 0.128822i | ||||
\(105\) | −1.48417e6 | + | 1.71283e6i | −0.125119 | + | 0.144394i | ||||
\(106\) | 1.19328e6 | + | 350378.i | 0.0973129 | + | 0.0285737i | ||||
\(107\) | −3.11384e6 | − | 2.16572e7i | −0.245727 | − | 1.70907i | −0.622380 | − | 0.782715i | \(-0.713834\pi\) |
0.376653 | − | 0.926355i | \(-0.377075\pi\) | |||||||
\(108\) | 1.18651e6 | + | 1.36931e6i | 0.0906336 | + | 0.104597i | ||||
\(109\) | −2.64356e6 | − | 5.78860e6i | −0.195523 | − | 0.428135i | 0.786323 | − | 0.617815i | \(-0.211982\pi\) |
−0.981846 | + | 0.189680i | \(0.939255\pi\) | |||||||
\(110\) | 566568. | − | 166359.i | 0.0405861 | − | 0.0119172i | ||||
\(111\) | 2.32783e6 | − | 5.09723e6i | 0.161555 | − | 0.353756i | ||||
\(112\) | −332047. | + | 2.30944e6i | −0.0223325 | + | 0.155326i | ||||
\(113\) | 7.36797e6 | − | 4.73511e6i | 0.480367 | − | 0.308713i | −0.277954 | − | 0.960594i | \(-0.589656\pi\) |
0.758321 | + | 0.651881i | \(0.226020\pi\) | |||||||
\(114\) | 7.80185e6 | 0.493208 | ||||||||
\(115\) | −2.82872e6 | + | 7.62068e6i | −0.173439 | + | 0.467252i | ||||
\(116\) | 1.57374e7 | 0.936117 | ||||||||
\(117\) | −1.27054e6 | + | 816526.i | −0.0733395 | + | 0.0471324i | ||||
\(118\) | 734266. | − | 5.10693e6i | 0.0411402 | − | 0.286136i | ||||
\(119\) | −687220. | + | 1.50480e6i | −0.0373836 | + | 0.0818587i | ||||
\(120\) | 4.76151e6 | − | 1.39811e6i | 0.251542 | − | 0.0738594i | ||||
\(121\) | −7.88764e6 | − | 1.72715e7i | −0.404761 | − | 0.886302i | ||||
\(122\) | −1.51403e6 | − | 1.74729e6i | −0.0754876 | − | 0.0871173i | ||||
\(123\) | −925332. | − | 6.43582e6i | −0.0448363 | − | 0.311843i | ||||
\(124\) | −8.50268e6 | − | 2.49661e6i | −0.400479 | − | 0.117591i | ||||
\(125\) | 1.24838e7 | − | 1.44071e7i | 0.571693 | − | 0.659769i | ||||
\(126\) | 2.21559e6 | + | 1.42387e6i | 0.0986715 | + | 0.0634123i | ||||
\(127\) | −3.42558e7 | − | 2.20149e7i | −1.48396 | − | 0.953681i | −0.996764 | − | 0.0803868i | \(-0.974384\pi\) |
−0.487193 | − | 0.873294i | \(-0.661979\pi\) | |||||||
\(128\) | 1.35257e7 | − | 1.56095e7i | 0.570066 | − | 0.657891i | ||||
\(129\) | −3.24164e6 | − | 951832.i | −0.132954 | − | 0.0390388i | ||||
\(130\) | 246262. | + | 1.71279e6i | 0.00983097 | + | 0.0683759i | ||||
\(131\) | −8.89120e6 | − | 1.02610e7i | −0.345550 | − | 0.398786i | 0.556197 | − | 0.831051i | \(-0.312260\pi\) |
−0.901747 | + | 0.432265i | \(0.857715\pi\) | |||||||
\(132\) | 729918. | + | 1.59830e6i | 0.0276226 | + | 0.0604852i | ||||
\(133\) | −2.78633e7 | + | 8.18141e6i | −1.02696 | + | 0.301542i | ||||
\(134\) | −3.32959e6 | + | 7.29078e6i | −0.119543 | + | 0.261762i | ||||
\(135\) | −390227. | + | 2.71409e6i | −0.0136505 | + | 0.0949414i | ||||
\(136\) | 3.04725e6 | − | 1.95835e6i | 0.103878 | − | 0.0667581i | ||||
\(137\) | −1.18532e7 | −0.393836 | −0.196918 | − | 0.980420i | \(-0.563093\pi\) | ||||
−0.196918 | + | 0.980420i | \(0.563093\pi\) | |||||||
\(138\) | 9.23332e6 | + | 1.99338e6i | 0.299076 | + | 0.0645673i | ||||
\(139\) | −5.40035e7 | −1.70557 | −0.852785 | − | 0.522262i | \(-0.825088\pi\) | ||||
−0.852785 | + | 0.522262i | \(0.825088\pi\) | |||||||
\(140\) | −6.50026e6 | + | 4.17746e6i | −0.200208 | + | 0.128666i | ||||
\(141\) | 2.96821e6 | − | 2.06443e7i | 0.0891718 | − | 0.620204i | ||||
\(142\) | 2.90317e6 | − | 6.35706e6i | 0.0850870 | − | 0.186315i | ||||
\(143\) | −1.40531e6 | + | 412636.i | −0.0401879 | + | 0.0118002i | ||||
\(144\) | 1.17264e6 | + | 2.56772e6i | 0.0327261 | + | 0.0716603i | ||||
\(145\) | 1.55964e7 | + | 1.79992e7i | 0.424852 | + | 0.490305i | ||||
\(146\) | 1.56603e6 | + | 1.08919e7i | 0.0416451 | + | 0.289648i | ||||
\(147\) | 1.19291e7 | + | 3.50271e6i | 0.309741 | + | 0.0909480i | ||||
\(148\) | 1.25108e7 | − | 1.44383e7i | 0.317227 | − | 0.366100i | ||||
\(149\) | 2.67237e7 | + | 1.71743e7i | 0.661828 | + | 0.425331i | 0.827971 | − | 0.560771i | \(-0.189495\pi\) |
−0.166143 | + | 0.986102i | \(0.553131\pi\) | |||||||
\(150\) | −7.99655e6 | − | 5.13907e6i | −0.193457 | − | 0.124327i | ||||
\(151\) | −1.93071e6 | + | 2.22816e6i | −0.0456351 | + | 0.0526657i | −0.778108 | − | 0.628130i | \(-0.783821\pi\) |
0.732473 | + | 0.680796i | \(0.238366\pi\) | |||||||
\(152\) | 6.10099e7 | + | 1.79141e7i | 1.40912 | + | 0.413755i | ||||
\(153\) | 284836. | + | 1.98108e6i | 0.00642948 | + | 0.0447180i | ||||
\(154\) | 1.67255e6 | + | 1.93023e6i | 0.0369026 | + | 0.0425878i | ||||
\(155\) | −5.57108e6 | − | 1.21990e7i | −0.120165 | − | 0.263125i | ||||
\(156\) | −4.94051e6 | + | 1.45066e6i | −0.104192 | + | 0.0305936i | ||||
\(157\) | −1.40835e7 | + | 3.08386e7i | −0.290444 | + | 0.635984i | −0.997461 | − | 0.0712127i | \(-0.977313\pi\) |
0.707017 | + | 0.707196i | \(0.250040\pi\) | |||||||
\(158\) | −6.53021e6 | + | 4.54186e7i | −0.131713 | + | 0.916082i | ||||
\(159\) | −4.71142e6 | + | 3.02784e6i | −0.0929526 | + | 0.0597370i | ||||
\(160\) | 2.67603e7 | 0.516500 | ||||||||
\(161\) | −3.50660e7 | + | 2.56342e6i | −0.662209 | + | 0.0484094i | ||||
\(162\) | 3.18635e6 | 0.0588832 | ||||||||
\(163\) | −2.96550e6 | + | 1.90581e6i | −0.0536341 | + | 0.0344686i | −0.567183 | − | 0.823592i | \(-0.691967\pi\) |
0.513549 | + | 0.858060i | \(0.328330\pi\) | |||||||
\(164\) | 3.15476e6 | − | 2.19418e7i | 0.0558486 | − | 0.388436i | ||||
\(165\) | −1.10463e6 | + | 2.41880e6i | −0.0191436 | + | 0.0419186i | ||||
\(166\) | 4.83680e7 | − | 1.42021e7i | 0.820691 | − | 0.240977i | ||||
\(167\) | 1.00942e7 | + | 2.21032e7i | 0.167712 | + | 0.367238i | 0.974762 | − | 0.223245i | \(-0.0716649\pi\) |
−0.807051 | + | 0.590482i | \(0.798938\pi\) | |||||||
\(168\) | 1.40563e7 | + | 1.62219e7i | 0.228712 | + | 0.263948i | ||||
\(169\) | 8.31922e6 | + | 5.78614e7i | 0.132580 | + | 0.922116i | ||||
\(170\) | 2.20026e6 | + | 646054.i | 0.0343481 | + | 0.0100855i | ||||
\(171\) | −2.30076e7 | + | 2.65522e7i | −0.351872 | + | 0.406082i | ||||
\(172\) | −9.68988e6 | − | 6.22731e6i | −0.145201 | − | 0.0933149i | ||||
\(173\) | −3.96114e7 | − | 2.54567e7i | −0.581646 | − | 0.373801i | 0.216484 | − | 0.976286i | \(-0.430541\pi\) |
−0.798130 | + | 0.602485i | \(0.794177\pi\) | |||||||
\(174\) | 1.81239e7 | − | 2.09161e7i | 0.260813 | − | 0.300995i | ||||
\(175\) | 3.39478e7 | + | 9.96796e6i | 0.478826 | + | 0.140596i | ||||
\(176\) | 389583. | + | 2.70961e6i | 0.00538648 | + | 0.0374638i | ||||
\(177\) | 1.52152e7 | + | 1.75593e7i | 0.206239 | + | 0.238012i | ||||
\(178\) | 1.59278e6 | + | 3.48770e6i | 0.0211683 | + | 0.0463521i | ||||
\(179\) | −5.73106e7 | + | 1.68279e7i | −0.746878 | + | 0.219303i | −0.632957 | − | 0.774187i | \(-0.718159\pi\) |
−0.113920 | + | 0.993490i | \(0.536341\pi\) | |||||||
\(180\) | −3.88345e6 | + | 8.50357e6i | −0.0496322 | + | 0.108679i | ||||
\(181\) | 1.78638e6 | − | 1.24246e7i | 0.0223924 | − | 0.155742i | −0.975557 | − | 0.219745i | \(-0.929478\pi\) |
0.997950 | + | 0.0640026i | \(0.0203866\pi\) | |||||||
\(182\) | −6.29644e6 | + | 4.04648e6i | −0.0774186 | + | 0.0497539i | ||||
\(183\) | 1.04115e7 | 0.125583 | ||||||||
\(184\) | 6.76268e7 | + | 3.67890e7i | 0.800307 | + | 0.435368i | ||||
\(185\) | 2.89122e7 | 0.335722 | ||||||||
\(186\) | −1.31102e7 | + | 8.42544e6i | −0.149388 | + | 0.0960058i | ||||
\(187\) | −276226. | + | 1.92119e6i | −0.00308900 | + | 0.0214845i | ||||
\(188\) | 2.95389e7 | − | 6.46813e7i | 0.324222 | − | 0.709947i | ||||
\(189\) | −1.13796e7 | + | 3.34137e6i | −0.122606 | + | 0.0360004i | ||||
\(190\) | 1.67221e7 | + | 3.66163e7i | 0.176870 | + | 0.387291i | ||||
\(191\) | −3.64438e7 | − | 4.20583e7i | −0.378448 | − | 0.436752i | 0.534288 | − | 0.845303i | \(-0.320580\pi\) |
−0.912736 | + | 0.408550i | \(0.866034\pi\) | |||||||
\(192\) | −2.52106e6 | − | 1.75344e7i | −0.0257057 | − | 0.178787i | ||||
\(193\) | 1.41319e8 | + | 4.14951e7i | 1.41498 | + | 0.415477i | 0.897802 | − | 0.440399i | \(-0.145163\pi\) |
0.517181 | + | 0.855876i | \(0.326981\pi\) | |||||||
\(194\) | −5.31748e7 | + | 6.13670e7i | −0.522877 | + | 0.603433i | ||||
\(195\) | −6.55541e6 | − | 4.21291e6i | −0.0633110 | − | 0.0406875i | ||||
\(196\) | 3.56584e7 | + | 2.29163e7i | 0.338272 | + | 0.217394i | ||||
\(197\) | −4.08959e7 | + | 4.71964e7i | −0.381108 | + | 0.439822i | −0.913601 | − | 0.406613i | \(-0.866710\pi\) |
0.532493 | + | 0.846434i | \(0.321255\pi\) | |||||||
\(198\) | 2.96486e6 | + | 870560.i | 0.0271441 | + | 0.00797023i | ||||
\(199\) | 2.26326e6 | + | 1.57413e7i | 0.0203586 | + | 0.141597i | 0.997466 | − | 0.0711516i | \(-0.0226674\pi\) |
−0.977107 | + | 0.212749i | \(0.931758\pi\) | |||||||
\(200\) | −5.07325e7 | − | 5.85484e7i | −0.448416 | − | 0.517500i | ||||
\(201\) | −1.49939e7 | − | 3.28321e7i | −0.130236 | − | 0.285176i | ||||
\(202\) | −9.05325e6 | + | 2.65827e6i | −0.0772813 | + | 0.0226918i | ||||
\(203\) | −4.27936e7 | + | 9.37049e7i | −0.359040 | + | 0.786188i | ||||
\(204\) | −971100. | + | 6.75415e6i | −0.00800864 | + | 0.0557013i | ||||
\(205\) | 2.82219e7 | − | 1.81371e7i | 0.228796 | − | 0.147038i | ||||
\(206\) | 1.09551e7 | 0.0873134 | ||||||||
\(207\) | −3.40131e7 | + | 2.55455e7i | −0.266532 | + | 0.200179i | ||||
\(208\) | −8.02209e6 | −0.0618110 | ||||||||
\(209\) | −2.86627e7 | + | 1.84204e7i | −0.217173 | + | 0.139569i | ||||
\(210\) | −1.93385e6 | + | 1.34503e7i | −0.0144097 | + | 0.100222i | ||||
\(211\) | −3.91238e6 | + | 8.56692e6i | −0.0286716 | + | 0.0627821i | −0.923426 | − | 0.383777i | \(-0.874623\pi\) |
0.894754 | + | 0.446559i | \(0.147351\pi\) | |||||||
\(212\) | −1.83204e7 | + | 5.37935e6i | −0.132056 | + | 0.0387752i | ||||
\(213\) | 1.30737e7 | + | 2.86274e7i | 0.0926977 | + | 0.202980i | ||||
\(214\) | −8.59080e7 | − | 9.91431e7i | −0.599219 | − | 0.691536i | ||||
\(215\) | −2.48076e6 | − | 1.72541e7i | −0.0170236 | − | 0.118402i | ||||
\(216\) | 2.49170e7 | + | 7.31631e6i | 0.168232 | + | 0.0493974i | ||||
\(217\) | 3.79862e7 | − | 4.38384e7i | 0.252358 | − | 0.291237i | ||||
\(218\) | −3.20976e7 | − | 2.06279e7i | −0.209834 | − | 0.134852i | ||||
\(219\) | −4.16870e7 | − | 2.67906e7i | −0.268192 | − | 0.172357i | ||||
\(220\) | −5.93680e6 | + | 6.85144e6i | −0.0375901 | + | 0.0433813i | ||||
\(221\) | −5.45750e6 | − | 1.60247e6i | −0.0340111 | − | 0.00998656i | ||||
\(222\) | −4.78143e6 | − | 3.32556e7i | −0.0293307 | − | 0.203999i | ||||
\(223\) | −1.14615e8 | − | 1.32273e8i | −0.692111 | − | 0.798738i | 0.295553 | − | 0.955326i | \(-0.404496\pi\) |
−0.987664 | + | 0.156588i | \(0.949951\pi\) | |||||||
\(224\) | 4.80831e7 | + | 1.05287e8i | 0.285841 | + | 0.625905i | ||||
\(225\) | 4.10717e7 | − | 1.20597e7i | 0.240383 | − | 0.0705829i | ||||
\(226\) | 2.18143e7 | − | 4.77667e7i | 0.125708 | − | 0.275262i | ||||
\(227\) | 2.38479e7 | − | 1.65866e8i | 0.135319 | − | 0.941168i | −0.803143 | − | 0.595786i | \(-0.796840\pi\) |
0.938462 | − | 0.345381i | \(-0.112250\pi\) | |||||||
\(228\) | −1.00767e8 | + | 6.47590e7i | −0.563049 | + | 0.361850i | ||||
\(229\) | 1.96893e8 | 1.08344 | 0.541721 | − | 0.840558i | \(-0.317773\pi\) | ||||
0.541721 | + | 0.840558i | \(0.317773\pi\) | |||||||
\(230\) | 1.04348e7 | + | 4.76072e7i | 0.0565504 | + | 0.258003i | ||||
\(231\) | −1.15015e7 | −0.0613922 | ||||||||
\(232\) | 1.89754e8 | − | 1.21948e8i | 0.997662 | − | 0.641158i | ||||
\(233\) | 2.71760e7 | − | 1.89013e8i | 0.140747 | − | 0.978918i | −0.789961 | − | 0.613156i | \(-0.789900\pi\) |
0.930709 | − | 0.365761i | \(-0.119191\pi\) | |||||||
\(234\) | −3.76168e6 | + | 8.23694e6i | −0.0191923 | + | 0.0420252i | ||||
\(235\) | 1.03252e8 | − | 3.03175e7i | 0.518992 | − | 0.152390i | ||||
\(236\) | 3.29063e7 | + | 7.20547e7i | 0.162962 | + | 0.356837i | ||||
\(237\) | −1.35317e8 | − | 1.56164e8i | −0.660286 | − | 0.762011i | ||||
\(238\) | 1.41157e6 | + | 9.81768e6i | 0.00678708 | + | 0.0472052i | ||||
\(239\) | 1.62757e8 | + | 4.77897e7i | 0.771163 | + | 0.226434i | 0.643564 | − | 0.765392i | \(-0.277455\pi\) |
0.127598 | + | 0.991826i | \(0.459273\pi\) | |||||||
\(240\) | −9.53767e6 | + | 1.10071e7i | −0.0445351 | + | 0.0513963i | ||||
\(241\) | −9.97259e7 | − | 6.40899e7i | −0.458932 | − | 0.294938i | 0.290674 | − | 0.956822i | \(-0.406121\pi\) |
−0.749606 | + | 0.661885i | \(0.769757\pi\) | |||||||
\(242\) | −9.57702e7 | − | 6.15478e7i | −0.434387 | − | 0.279163i | ||||
\(243\) | −9.39654e6 | + | 1.08442e7i | −0.0420093 | + | 0.0484814i | ||||
\(244\) | 3.40582e7 | + | 1.00004e7i | 0.150092 | + | 0.0440709i | ||||
\(245\) | 9.12912e6 | + | 6.34944e7i | 0.0396595 | + | 0.275838i | ||||
\(246\) | −2.55291e7 | − | 2.94621e7i | −0.109336 | − | 0.126180i | ||||
\(247\) | −4.14774e7 | − | 9.08228e7i | −0.175135 | − | 0.383491i | ||||
\(248\) | −1.21867e8 | + | 3.57834e7i | −0.507348 | + | 0.148971i | ||||
\(249\) | −9.43026e7 | + | 2.06494e8i | −0.387102 | + | 0.847636i | ||||
\(250\) | 1.62663e7 | − | 1.13134e8i | 0.0658412 | − | 0.457936i | ||||
\(251\) | −4.75611e7 | + | 3.05657e7i | −0.189843 | + | 0.122005i | −0.632110 | − | 0.774879i | \(-0.717811\pi\) |
0.442267 | + | 0.896884i | \(0.354174\pi\) | |||||||
\(252\) | −4.04348e7 | −0.159167 | ||||||||
\(253\) | −3.86282e7 | + | 1.44768e7i | −0.149962 | + | 0.0562020i | ||||
\(254\) | −2.44144e8 | −0.934820 | ||||||||
\(255\) | −8.68729e6 | + | 5.58298e6i | −0.0328090 | + | 0.0210851i | ||||
\(256\) | 2.95755e7 | − | 2.05702e8i | 0.110177 | − | 0.766301i | ||||
\(257\) | 1.50055e8 | − | 3.28575e8i | 0.551423 | − | 1.20745i | −0.404692 | − | 0.914453i | \(-0.632621\pi\) |
0.956114 | − | 0.292994i | \(-0.0946516\pi\) | |||||||
\(258\) | −1.94358e7 | + | 5.70688e6i | −0.0704587 | + | 0.0206885i | ||||
\(259\) | 5.19497e7 | + | 1.13754e8i | 0.185795 | + | 0.406834i | ||||
\(260\) | −1.73977e7 | − | 2.00780e7i | −0.0613881 | − | 0.0708456i | ||||
\(261\) | 1.77369e7 | + | 1.23363e8i | 0.0617500 | + | 0.429480i | ||||
\(262\) | −7.81074e7 | − | 2.29344e7i | −0.268310 | − | 0.0787830i | ||||
\(263\) | −1.02013e8 | + | 1.17729e8i | −0.345788 | + | 0.399060i | −0.901828 | − | 0.432095i | \(-0.857775\pi\) |
0.556040 | + | 0.831155i | \(0.312320\pi\) | |||||||
\(264\) | 2.11860e7 | + | 1.36154e7i | 0.0708657 | + | 0.0455426i | ||||
\(265\) | −2.43088e7 | − | 1.56223e7i | −0.0802422 | − | 0.0515685i | ||||
\(266\) | −1.14019e8 | + | 1.31585e8i | −0.371443 | + | 0.428669i | ||||
\(267\) | −1.65669e7 | − | 4.86447e6i | −0.0532661 | − | 0.0156404i | ||||
\(268\) | −1.75127e7 | − | 1.21803e8i | −0.0555751 | − | 0.386533i | ||||
\(269\) | 4.49418e7 | + | 5.18656e7i | 0.140772 | + | 0.162460i | 0.821758 | − | 0.569837i | \(-0.192994\pi\) |
−0.680985 | + | 0.732297i | \(0.738448\pi\) | |||||||
\(270\) | 6.82948e6 | + | 1.49545e7i | 0.0211161 | + | 0.0462379i | ||||
\(271\) | −4.13661e8 | + | 1.21462e8i | −1.26256 | + | 0.370721i | −0.843447 | − | 0.537212i | \(-0.819477\pi\) |
−0.419114 | + | 0.907934i | \(0.637659\pi\) | |||||||
\(272\) | −4.41625e6 | + | 9.67024e6i | −0.0133065 | + | 0.0291371i | ||||
\(273\) | 4.79671e6 | − | 3.33619e7i | 0.0142684 | − | 0.0992387i | ||||
\(274\) | −5.97865e7 | + | 3.84224e7i | −0.175580 | + | 0.112839i | ||||
\(275\) | 4.15116e7 | 0.120366 | ||||||||
\(276\) | −1.35801e8 | + | 5.08948e7i | −0.388797 | + | 0.145711i | ||||
\(277\) | 3.53349e8 | 0.998905 | 0.499453 | − | 0.866341i | \(-0.333534\pi\) | ||||
0.499453 | + | 0.866341i | \(0.333534\pi\) | |||||||
\(278\) | −2.72387e8 | + | 1.75053e8i | −0.760379 | + | 0.488666i | ||||
\(279\) | 9.98756e6 | − | 6.94650e7i | 0.0275324 | − | 0.191492i | ||||
\(280\) | −4.60063e7 | + | 1.00740e8i | −0.125246 | + | 0.274251i | ||||
\(281\) | 3.57064e8 | − | 1.04844e8i | 0.960007 | − | 0.281884i | 0.236060 | − | 0.971739i | \(-0.424144\pi\) |
0.723948 | + | 0.689855i | \(0.242326\pi\) | |||||||
\(282\) | −5.19475e7 | − | 1.13749e8i | −0.137941 | − | 0.302049i | ||||
\(283\) | 3.92479e8 | + | 4.52944e8i | 1.02935 | + | 1.18793i | 0.981966 | + | 0.189058i | \(0.0605433\pi\) |
0.0473850 | + | 0.998877i | \(0.484911\pi\) | |||||||
\(284\) | 1.52698e7 | + | 1.06204e8i | 0.0395567 | + | 0.275123i | ||||
\(285\) | −1.73931e8 | − | 5.10707e7i | −0.445061 | − | 0.130682i | ||||
\(286\) | −5.75065e6 | + | 6.63661e6i | −0.0145357 | + | 0.0167751i | ||||
\(287\) | 1.22069e8 | + | 7.84491e7i | 0.304803 | + | 0.195885i | ||||
\(288\) | 1.17806e8 | + | 7.57096e7i | 0.290600 | + | 0.186757i | ||||
\(289\) | 2.63779e8 | − | 3.04417e8i | 0.642831 | − | 0.741867i | ||||
\(290\) | 1.37011e8 | + | 4.02302e7i | 0.329886 | + | 0.0968632i | ||||
\(291\) | −5.20394e7 | − | 3.61942e8i | −0.123796 | − | 0.861021i | ||||
\(292\) | −1.10635e8 | − | 1.27679e8i | −0.260047 | − | 0.300110i | ||||
\(293\) | −1.67913e8 | − | 3.67678e8i | −0.389984 | − | 0.853946i | −0.998188 | − | 0.0601657i | \(-0.980837\pi\) |
0.608204 | − | 0.793781i | \(-0.291890\pi\) | |||||||
\(294\) | 7.15233e7 | − | 2.10011e7i | 0.164147 | − | 0.0481978i | ||||
\(295\) | −4.97992e7 | + | 1.09045e8i | −0.112939 | + | 0.247303i | ||||
\(296\) | 3.89690e7 | − | 2.71035e8i | 0.0873369 | − | 0.607441i | ||||
\(297\) | −1.17061e7 | + | 7.52308e6i | −0.0259278 | + | 0.0166628i | ||||
\(298\) | 1.90462e8 | 0.416919 | ||||||||
\(299\) | −2.58823e7 | − | 1.18084e8i | −0.0559955 | − | 0.255472i | ||||
\(300\) | 1.45938e8 | 0.312065 | ||||||||
\(301\) | 6.34282e7 | − | 4.07628e7i | 0.134060 | − | 0.0861552i | ||||
\(302\) | −2.51569e6 | + | 1.74970e7i | −0.00525574 | + | 0.0365545i | ||||
\(303\) | 1.76510e7 | − | 3.86504e7i | 0.0364519 | − | 0.0798186i | ||||
\(304\) | −1.79057e8 | + | 5.25758e7i | −0.365539 | + | 0.107332i | ||||
\(305\) | 2.23154e7 | + | 4.88640e7i | 0.0450356 | + | 0.0986142i | ||||
\(306\) | 7.85838e6 | + | 9.06905e6i | 0.0156786 | + | 0.0180941i | ||||
\(307\) | 1.23768e8 | + | 8.60826e8i | 0.244132 | + | 1.69797i | 0.630954 | + | 0.775820i | \(0.282664\pi\) |
−0.386822 | + | 0.922154i | \(0.626427\pi\) | |||||||
\(308\) | −3.76241e7 | − | 1.10474e7i | −0.0733733 | − | 0.0215443i | ||||
\(309\) | −3.23065e7 | + | 3.72837e7i | −0.0622925 | + | 0.0718894i | ||||
\(310\) | −6.76430e7 | − | 4.34715e7i | −0.128960 | − | 0.0828779i | ||||
\(311\) | 7.58539e8 | + | 4.87483e8i | 1.42993 | + | 0.918963i | 0.999869 | + | 0.0161658i | \(0.00514595\pi\) |
0.430066 | + | 0.902798i | \(0.358490\pi\) | |||||||
\(312\) | −4.83293e7 | + | 5.57749e7i | −0.0900884 | + | 0.103968i | ||||
\(313\) | 3.60755e8 | + | 1.05927e8i | 0.664979 | + | 0.195255i | 0.596766 | − | 0.802415i | \(-0.296452\pi\) |
0.0682129 | + | 0.997671i | \(0.478270\pi\) | |||||||
\(314\) | 2.89280e7 | + | 2.01198e8i | 0.0527308 | + | 0.366751i | ||||
\(315\) | −4.00726e7 | − | 4.62463e7i | −0.0722372 | − | 0.0833662i | ||||
\(316\) | −2.92653e8 | − | 6.40821e8i | −0.521733 | − | 1.14244i | ||||
\(317\) | −1.67085e8 | + | 4.90607e7i | −0.294599 | + | 0.0865021i | −0.425692 | − | 0.904868i | \(-0.639969\pi\) |
0.131093 | + | 0.991370i | \(0.458151\pi\) | |||||||
\(318\) | −1.39491e7 | + | 3.05442e7i | −0.0243249 | + | 0.0532640i | ||||
\(319\) | −1.72007e7 | + | 1.19634e8i | −0.0296674 | + | 0.206341i | ||||
\(320\) | 7.68905e7 | − | 4.94145e7i | 0.131174 | − | 0.0843004i | ||||
\(321\) | 5.90758e8 | 0.996879 | ||||||||
\(322\) | −1.68559e8 | + | 1.26596e8i | −0.281357 | + | 0.211313i | ||||
\(323\) | −1.32316e8 | −0.218476 | ||||||||
\(324\) | −4.11542e7 | + | 2.64482e7i | −0.0672213 | + | 0.0432005i | ||||
\(325\) | −1.73124e7 | + | 1.20411e8i | −0.0279747 | + | 0.194569i | ||||
\(326\) | −8.77994e6 | + | 1.92254e7i | −0.0140356 | + | 0.0307336i | ||||
\(327\) | 1.64859e8 | − | 4.84070e7i | 0.260733 | − | 0.0765581i | ||||
\(328\) | −1.31986e8 | − | 2.89010e8i | −0.206524 | − | 0.452225i | ||||
\(329\) | 3.04807e8 | + | 3.51766e8i | 0.471889 | + | 0.544589i | ||||
\(330\) | 2.26894e6 | + | 1.57809e7i | 0.00347556 | + | 0.0241731i | ||||
\(331\) | −2.32608e7 | − | 6.82999e6i | −0.0352555 | − | 0.0103519i | 0.264057 | − | 0.964507i | \(-0.414939\pi\) |
−0.299313 | + | 0.954155i | \(0.596757\pi\) | |||||||
\(332\) | −5.06826e8 | + | 5.84908e8i | −0.760109 | + | 0.877212i | ||||
\(333\) | 1.27280e8 | + | 8.17978e7i | 0.188888 | + | 0.121391i | ||||
\(334\) | 1.22562e8 | + | 7.87656e7i | 0.179987 | + | 0.115671i | ||||
\(335\) | 1.21953e8 | − | 1.40742e8i | 0.177230 | − | 0.204534i | ||||
\(336\) | −6.04443e7 | − | 1.77480e7i | −0.0869296 | − | 0.0255248i | ||||
\(337\) | 1.35589e8 | + | 9.43044e8i | 0.192984 | + | 1.34223i | 0.824057 | + | 0.566507i | \(0.191706\pi\) |
−0.631073 | + | 0.775723i | \(0.717385\pi\) | |||||||
\(338\) | 2.29520e8 | + | 2.64880e8i | 0.323304 | + | 0.373113i | ||||
\(339\) | 9.82352e7 | + | 2.15105e8i | 0.136952 | + | 0.299883i | ||||
\(340\) | −3.37806e7 | + | 9.91888e6i | −0.0466113 | + | 0.0136863i | ||||
\(341\) | 2.82722e7 | − | 6.19075e7i | 0.0386117 | − | 0.0845479i | ||||
\(342\) | −2.99786e7 | + | 2.08506e8i | −0.0405247 | + | 0.281856i | ||||
\(343\) | −6.50868e8 | + | 4.18287e8i | −0.870890 | + | 0.559687i | ||||
\(344\) | −1.65091e8 | −0.218659 | ||||||||
\(345\) | −1.92795e8 | − | 1.04880e8i | −0.252771 | − | 0.137508i | ||||
\(346\) | −2.82314e8 | −0.366408 | ||||||||
\(347\) | −3.97247e8 | + | 2.55295e8i | −0.510396 | + | 0.328012i | −0.770363 | − | 0.637606i | \(-0.779925\pi\) |
0.259967 | + | 0.965618i | \(0.416288\pi\) | |||||||
\(348\) | −6.04710e7 | + | 4.20585e8i | −0.0769165 | + | 0.534966i | ||||
\(349\) | −2.25215e8 | + | 4.93153e8i | −0.283602 | + | 0.621001i | −0.996798 | − | 0.0799634i | \(-0.974520\pi\) |
0.713196 | + | 0.700965i | \(0.247247\pi\) | |||||||
\(350\) | 2.03540e8 | − | 5.97647e7i | 0.253753 | − | 0.0745087i | ||||
\(351\) | −1.69398e7 | − | 3.70929e7i | −0.0209090 | − | 0.0457842i | ||||
\(352\) | 8.89323e7 | + | 1.02633e8i | 0.108683 | + | 0.125426i | ||||
\(353\) | −1.53844e8 | − | 1.07001e9i | −0.186153 | − | 1.29472i | −0.841855 | − | 0.539703i | \(-0.818536\pi\) |
0.655702 | − | 0.755020i | \(-0.272373\pi\) | |||||||
\(354\) | 1.33662e8 | + | 3.92468e7i | 0.160139 | + | 0.0470211i | ||||
\(355\) | −1.06335e8 | + | 1.22717e8i | −0.126147 | + | 0.145581i | ||||
\(356\) | −4.95216e7 | − | 3.18256e7i | −0.0581727 | − | 0.0373853i | ||||
\(357\) | −3.75755e7 | − | 2.41483e7i | −0.0437085 | − | 0.0280897i | ||||
\(358\) | −2.34520e8 | + | 2.70651e8i | −0.270141 | + | 0.311759i | ||||
\(359\) | 1.17365e9 | + | 3.44614e8i | 1.33877 | + | 0.393099i | 0.871232 | − | 0.490872i | \(-0.163322\pi\) |
0.467542 | + | 0.883971i | \(0.345140\pi\) | |||||||
\(360\) | 1.90685e7 | + | 1.32624e8i | 0.0215406 | + | 0.149818i | ||||
\(361\) | −9.35673e8 | − | 1.07982e9i | −1.04676 | − | 1.20803i | ||||
\(362\) | −3.12641e7 | − | 6.84588e7i | −0.0346390 | − | 0.0758489i | ||||
\(363\) | 4.91893e8 | − | 1.44433e8i | 0.539756 | − | 0.158487i | ||||
\(364\) | 4.77358e7 | − | 1.04527e8i | 0.0518787 | − | 0.113599i | ||||
\(365\) | 3.63861e7 | − | 2.53071e8i | 0.0391661 | − | 0.272407i | ||||
\(366\) | 5.25142e7 | − | 3.37488e7i | 0.0559877 | − | 0.0359811i | ||||
\(367\) | −2.70435e8 | −0.285583 | −0.142791 | − | 0.989753i | \(-0.545608\pi\) | ||||
−0.142791 | + | 0.989753i | \(0.545608\pi\) | |||||||
\(368\) | −2.25343e8 | + | 1.64732e7i | −0.235709 | + | 0.0172310i | ||||
\(369\) | 1.75554e8 | 0.181894 | ||||||||
\(370\) | 1.45830e8 | − | 9.37191e7i | 0.149672 | − | 0.0961883i | ||||
\(371\) | 1.77872e7 | − | 1.23712e8i | 0.0180841 | − | 0.125778i | ||||
\(372\) | 9.93939e7 | − | 2.17642e8i | 0.100106 | − | 0.219201i | ||||
\(373\) | −6.43271e8 | + | 1.88881e8i | −0.641820 | + | 0.188455i | −0.586418 | − | 0.810009i | \(-0.699462\pi\) |
−0.0554021 | + | 0.998464i | \(0.517644\pi\) | |||||||
\(374\) | 4.83431e6 | + | 1.05857e7i | 0.00477841 | + | 0.0104633i | ||||
\(375\) | 3.37064e8 | + | 3.88992e8i | 0.330067 | + | 0.380918i | ||||
\(376\) | −1.45042e8 | − | 1.00879e9i | −0.140714 | − | 0.978686i | ||||
\(377\) | −3.39842e8 | − | 9.97865e7i | −0.326649 | − | 0.0959129i | ||||
\(378\) | −4.65666e7 | + | 5.37407e7i | −0.0443459 | + | 0.0511779i | ||||
\(379\) | −3.38392e8 | − | 2.17471e8i | −0.319288 | − | 0.205194i | 0.371173 | − | 0.928564i | \(-0.378956\pi\) |
−0.690461 | + | 0.723370i | \(0.742592\pi\) | |||||||
\(380\) | −5.19912e8 | − | 3.34127e8i | −0.486057 | − | 0.312370i | ||||
\(381\) | 7.19979e8 | − | 8.30901e8i | 0.666934 | − | 0.769683i | ||||
\(382\) | −3.20151e8 | − | 9.40047e7i | −0.293855 | − | 0.0862835i | ||||
\(383\) | −1.31256e8 | − | 9.12906e8i | −0.119378 | − | 0.830291i | −0.958244 | − | 0.285953i | \(-0.907690\pi\) |
0.838866 | − | 0.544338i | \(-0.183219\pi\) | |||||||
\(384\) | 3.65194e8 | + | 4.21456e8i | 0.329128 | + | 0.379834i | ||||
\(385\) | −2.46518e7 | − | 5.39800e7i | −0.0220159 | − | 0.0482081i | ||||
\(386\) | 8.47306e8 | − | 2.48792e8i | 0.749868 | − | 0.220181i | ||||
\(387\) | 3.78939e7 | − | 8.29760e7i | 0.0332339 | − | 0.0727720i | ||||
\(388\) | 1.77419e8 | − | 1.23398e9i | 0.154202 | − | 1.07250i | ||||
\(389\) | −5.62174e8 | + | 3.61287e8i | −0.484225 | + | 0.311193i | −0.759879 | − | 0.650064i | \(-0.774742\pi\) |
0.275654 | + | 0.961257i | \(0.411106\pi\) | |||||||
\(390\) | −4.67210e7 | −0.0398828 | ||||||||
\(391\) | −1.56593e8 | − | 3.38069e7i | −0.132481 | − | 0.0286013i | ||||
\(392\) | 6.07529e8 | 0.509408 | ||||||||
\(393\) | 3.08391e8 | − | 1.98191e8i | 0.256288 | − | 0.164706i | ||||
\(394\) | −5.32868e7 | + | 3.70618e8i | −0.0438917 | + | 0.305274i | ||||
\(395\) | 4.42890e8 | − | 9.69795e8i | 0.361582 | − | 0.791754i | ||||
\(396\) | −4.55195e7 | + | 1.33657e7i | −0.0368353 | + | 0.0108158i | ||||
\(397\) | −5.60482e8 | − | 1.22729e9i | −0.449568 | − | 0.984416i | −0.989742 | − | 0.142863i | \(-0.954369\pi\) |
0.540175 | − | 0.841553i | \(-0.318358\pi\) | |||||||
\(398\) | 6.24413e7 | + | 7.20611e7i | 0.0496456 | + | 0.0572941i | ||||
\(399\) | −1.11585e8 | − | 7.76089e8i | −0.0879427 | − | 0.611655i | ||||
\(400\) | 2.18157e8 | + | 6.40567e7i | 0.170435 | + | 0.0500443i | ||||
\(401\) | 3.51078e8 | − | 4.05166e8i | 0.271893 | − | 0.313782i | −0.603339 | − | 0.797485i | \(-0.706163\pi\) |
0.875232 | + | 0.483703i | \(0.160709\pi\) | |||||||
\(402\) | −1.82053e8 | − | 1.16999e8i | −0.139768 | − | 0.0898234i | ||||
\(403\) | 1.67781e8 | + | 1.07826e8i | 0.127695 | + | 0.0820647i | ||||
\(404\) | 9.48648e7 | − | 1.09480e8i | 0.0715765 | − | 0.0826037i | ||||
\(405\) | −7.10350e7 | − | 2.08578e7i | −0.0531349 | − | 0.0156018i | ||||
\(406\) | 8.78993e7 | + | 6.11353e8i | 0.0651845 | + | 0.453368i | ||||
\(407\) | 9.60837e7 | + | 1.10887e8i | 0.0706430 | + | 0.0815264i | ||||
\(408\) | 4.06282e7 | + | 8.89633e7i | 0.0296153 | + | 0.0648485i | ||||
\(409\) | −8.20307e7 | + | 2.40864e7i | −0.0592850 | + | 0.0174076i | −0.311241 | − | 0.950331i | \(-0.600744\pi\) |
0.251956 | + | 0.967739i | \(0.418926\pi\) | |||||||
\(410\) | 8.35564e7 | − | 1.82963e8i | 0.0598737 | − | 0.131105i | ||||
\(411\) | 4.55461e7 | − | 3.16780e8i | 0.0323597 | − | 0.225067i | ||||
\(412\) | −1.41494e8 | + | 9.09324e7i | −0.0996774 | + | 0.0640588i | ||||
\(413\) | −5.18514e8 | −0.362189 | ||||||||
\(414\) | −8.87524e7 | + | 2.39102e8i | −0.0614722 | + | 0.165609i | ||||
\(415\) | −1.17126e9 | −0.804424 | ||||||||
\(416\) | −3.34792e8 | + | 2.15158e8i | −0.228007 | + | 0.146531i | ||||
\(417\) | 2.07508e8 | − | 1.44325e9i | 0.140139 | − | 0.974689i | ||||
\(418\) | −8.48617e7 | + | 1.85821e8i | −0.0568322 | + | 0.124445i | ||||
\(419\) | −2.18268e9 | + | 6.40892e8i | −1.44957 | + | 0.425634i | −0.909401 | − | 0.415920i | \(-0.863460\pi\) |
−0.540174 | + | 0.841554i | \(0.681641\pi\) | |||||||
\(420\) | −8.66662e7 | − | 1.89772e8i | −0.0570791 | − | 0.124986i | ||||
\(421\) | 8.28886e8 | + | 9.56586e8i | 0.541387 | + | 0.624794i | 0.958854 | − | 0.283898i | \(-0.0916278\pi\) |
−0.417468 | + | 0.908692i | \(0.637082\pi\) | |||||||
\(422\) | 8.03614e6 | + | 5.58926e7i | 0.00520540 | + | 0.0362043i | ||||
\(423\) | 5.40319e8 | + | 1.58652e8i | 0.347103 | + | 0.101919i | ||||
\(424\) | −1.79215e8 | + | 2.06825e8i | −0.114181 | + | 0.131772i | ||||
\(425\) | 1.35618e8 | + | 8.71566e7i | 0.0856953 | + | 0.0550730i | ||||
\(426\) | 1.58738e8 | + | 1.02015e8i | 0.0994826 | + | 0.0639336i | ||||
\(427\) | −1.52157e8 | + | 1.75599e8i | −0.0945790 | + | 0.109150i | ||||
\(428\) | 1.93250e9 | + | 5.67434e8i | 1.19143 | + | 0.349834i | ||||
\(429\) | −5.62786e6 | − | 3.91427e7i | −0.00344146 | − | 0.0239359i | ||||
\(430\) | −6.84420e7 | − | 7.89862e7i | −0.0415129 | − | 0.0479084i | ||||
\(431\) | −1.00416e9 | − | 2.19880e9i | −0.604131 | − | 1.32286i | −0.926517 | − | 0.376253i | \(-0.877212\pi\) |
0.322386 | − | 0.946608i | \(-0.395515\pi\) | |||||||
\(432\) | −7.31285e7 | + | 2.14725e7i | −0.0436409 | + | 0.0128141i | ||||
\(433\) | −1.89625e8 | + | 4.15220e8i | −0.112250 | + | 0.245794i | −0.957417 | − | 0.288709i | \(-0.906774\pi\) |
0.845167 | + | 0.534503i | \(0.179501\pi\) | |||||||
\(434\) | 4.94955e7 | − | 3.44249e8i | 0.0290638 | − | 0.202143i | ||||
\(435\) | −5.40962e8 | + | 3.47655e8i | −0.315105 | + | 0.202505i | ||||
\(436\) | 5.85787e8 | 0.338483 | ||||||||
\(437\) | −1.35161e9 | − | 2.46606e9i | −0.774761 | − | 1.41358i | ||||
\(438\) | −2.97107e8 | −0.168948 | ||||||||
\(439\) | 2.67546e8 | − | 1.71942e8i | 0.150929 | − | 0.0969963i | −0.462997 | − | 0.886360i | \(-0.653226\pi\) |
0.613926 | + | 0.789364i | \(0.289589\pi\) | |||||||
\(440\) | −1.84920e7 | + | 1.28615e8i | −0.0103491 | + | 0.0719793i | ||||
\(441\) | −1.39448e8 | + | 3.05349e8i | −0.0774244 | + | 0.169536i | ||||
\(442\) | −3.27214e7 | + | 9.60788e6i | −0.0180241 | + | 0.00529236i | ||||
\(443\) | 9.30177e8 | + | 2.03680e9i | 0.508338 | + | 1.11310i | 0.973669 | + | 0.227968i | \(0.0732082\pi\) |
−0.465331 | + | 0.885137i | \(0.654065\pi\) | |||||||
\(444\) | 3.37793e8 | + | 3.89833e8i | 0.183151 | + | 0.211368i | ||||
\(445\) | −1.26783e7 | − | 8.81795e7i | −0.00682026 | − | 0.0474359i | ||||
\(446\) | −1.00687e9 | − | 2.95644e8i | −0.537405 | − | 0.157796i | ||||
\(447\) | −5.61672e8 | + | 6.48204e8i | −0.297445 | + | 0.343270i | ||||
\(448\) | 3.32577e8 | + | 2.13734e8i | 0.174751 | + | 0.112306i | ||||
\(449\) | 1.51885e9 | + | 9.76107e8i | 0.791869 | + | 0.508903i | 0.872953 | − | 0.487804i | \(-0.162202\pi\) |
−0.0810844 | + | 0.996707i | \(0.525838\pi\) | |||||||
\(450\) | 1.68069e8 | − | 1.93962e8i | 0.0869451 | − | 0.100340i | ||||
\(451\) | 1.63351e8 | + | 4.79641e7i | 0.0838500 | + | 0.0246206i | ||||
\(452\) | 1.14737e8 | + | 7.98014e8i | 0.0584412 | + | 0.406467i | ||||
\(453\) | −5.21293e7 | − | 6.01604e7i | −0.0263474 | − | 0.0304066i | ||||
\(454\) | −4.17370e8 | − | 9.13913e8i | −0.209327 | − | 0.458363i | ||||
\(455\) | 1.66858e8 | − | 4.89939e7i | 0.0830438 | − | 0.0243839i | ||||
\(456\) | −7.13189e8 | + | 1.56167e9i | −0.352231 | + | 0.771278i | ||||
\(457\) | −3.40762e8 | + | 2.37005e9i | −0.167011 | + | 1.16159i | 0.718009 | + | 0.696034i | \(0.245054\pi\) |
−0.885020 | + | 0.465553i | \(0.845856\pi\) | |||||||
\(458\) | 9.93106e8 | − | 6.38230e8i | 0.483021 | − | 0.310419i | ||||
\(459\) | −5.40392e7 | −0.0260834 | ||||||||
\(460\) | −5.29935e8 | − | 5.28270e8i | −0.253846 | − | 0.253048i | ||||
\(461\) | 1.36593e7 | 0.00649345 | 0.00324672 | − | 0.999995i | \(-0.498967\pi\) | ||||
0.00324672 | + | 0.999995i | \(0.498967\pi\) | |||||||
\(462\) | −5.80124e7 | + | 3.72823e7i | −0.0273699 | + | 0.0175896i | ||||
\(463\) | 2.48886e8 | − | 1.73104e9i | 0.116538 | − | 0.810540i | −0.844783 | − | 0.535109i | \(-0.820270\pi\) |
0.961321 | − | 0.275431i | \(-0.0888204\pi\) | |||||||
\(464\) | −2.75003e8 | + | 6.02172e8i | −0.127798 | + | 0.279838i | ||||
\(465\) | 3.47426e8 | − | 1.02014e8i | 0.160242 | − | 0.0470514i | ||||
\(466\) | −4.75615e8 | − | 1.04145e9i | −0.217723 | − | 0.476748i | ||||
\(467\) | 2.19209e9 | + | 2.52980e9i | 0.995976 | + | 1.14942i | 0.988770 | + | 0.149444i | \(0.0477483\pi\) |
0.00720593 | + | 0.999974i | \(0.497706\pi\) | |||||||
\(468\) | −1.97854e7 | − | 1.37610e8i | −0.00892244 | − | 0.0620569i | ||||
\(469\) | 7.72871e8 | + | 2.26936e8i | 0.345941 | + | 0.101578i | ||||
\(470\) | 4.22516e8 | − | 4.87610e8i | 0.187716 | − | 0.216636i | ||||
\(471\) | −7.70051e8 | − | 4.94882e8i | −0.339583 | − | 0.218237i | ||||
\(472\) | 9.55113e8 | + | 6.13814e8i | 0.418078 | + | 0.268683i | ||||
\(473\) | 5.79301e7 | − | 6.68549e7i | 0.0251704 | − | 0.0290482i | ||||
\(474\) | −1.18873e9 | − | 3.49042e8i | −0.512694 | − | 0.150541i | ||||
\(475\) | 4.02735e8 | + | 2.80108e9i | 0.172421 | + | 1.19922i | ||||
\(476\) | −9.97229e7 | − | 1.15086e8i | −0.0423809 | − | 0.0489102i | ||||
\(477\) | −6.28160e7 | − | 1.37548e8i | −0.0265006 | − | 0.0580283i | ||||
\(478\) | 9.75837e8 | − | 2.86532e8i | 0.408676 | − | 0.119998i | ||||
\(479\) | −1.63059e9 | + | 3.57050e9i | −0.677908 | + | 1.48441i | 0.186936 | + | 0.982372i | \(0.440144\pi\) |
−0.864844 | + | 0.502040i | \(0.832583\pi\) | |||||||
\(480\) | −1.02826e8 | + | 7.15173e8i | −0.0424385 | + | 0.295166i | ||||
\(481\) | −3.61714e8 | + | 2.32460e8i | −0.148203 | + | 0.0952445i | ||||
\(482\) | −7.10754e8 | −0.289105 | ||||||||
\(483\) | 6.62331e7 | − | 9.46994e8i | 0.0267461 | − | 0.382413i | ||||
\(484\) | 1.74782e9 | 0.700710 | ||||||||
\(485\) | 1.58716e9 | − | 1.02001e9i | 0.631720 | − | 0.405982i | ||||
\(486\) | −1.22436e7 | + | 8.51558e7i | −0.00483816 | + | 0.0336502i | ||||
\(487\) | −1.03850e9 | + | 2.27400e9i | −0.407432 | + | 0.892151i | 0.589031 | + | 0.808111i | \(0.299510\pi\) |
−0.996462 | + | 0.0840401i | \(0.973218\pi\) | |||||||
\(488\) | 4.88149e8 | − | 1.43334e8i | 0.190144 | − | 0.0558314i | ||||
\(489\) | −3.95382e7 | − | 8.65766e7i | −0.0152910 | − | 0.0334826i | ||||
\(490\) | 2.51864e8 | + | 2.90667e8i | 0.0967119 | + | 0.111612i | ||||
\(491\) | 4.82027e8 | + | 3.35257e9i | 0.183775 | + | 1.27818i | 0.847737 | + | 0.530416i | \(0.177964\pi\) |
−0.663963 | + | 0.747766i | \(0.731127\pi\) | |||||||
\(492\) | 5.74277e8 | + | 1.68623e8i | 0.217392 | + | 0.0638320i | ||||
\(493\) | −3.07374e8 | + | 3.54729e8i | −0.115532 | + | 0.133331i | ||||
\(494\) | −5.03610e8 | − | 3.23651e8i | −0.187953 | − | 0.120790i | ||||
\(495\) | −6.03984e7 | − | 3.88157e7i | −0.0223824 | − | 0.0143843i | ||||
\(496\) | 2.44109e8 | − | 2.81717e8i | 0.0898252 | − | 0.103664i | ||||
\(497\) | −6.73890e8 | − | 1.97872e8i | −0.246231 | − | 0.0722998i | ||||
\(498\) | 1.93700e8 | + | 1.34721e9i | 0.0702793 | + | 0.488803i | ||||
\(499\) | 7.41724e8 | + | 8.55995e8i | 0.267233 | + | 0.308404i | 0.873467 | − | 0.486883i | \(-0.161866\pi\) |
−0.606234 | + | 0.795286i | \(0.707321\pi\) | |||||||
\(500\) | 7.28977e8 | + | 1.59624e9i | 0.260807 | + | 0.571087i | ||||
\(501\) | −6.29498e8 | + | 1.84837e8i | −0.223647 | + | 0.0656686i | ||||
\(502\) | −1.40814e8 | + | 3.08340e8i | −0.0496802 | + | 0.108784i | ||||
\(503\) | −1.66489e7 | + | 1.15796e8i | −0.00583309 | + | 0.0405700i | −0.992530 | − | 0.122000i | \(-0.961069\pi\) |
0.986697 | + | 0.162570i | \(0.0519783\pi\) | |||||||
\(504\) | −4.87544e8 | + | 3.13325e8i | −0.169632 | + | 0.109016i | ||||
\(505\) | 2.19230e8 | 0.0757495 | ||||||||
\(506\) | −1.47909e8 | + | 1.98233e8i | −0.0507538 | + | 0.0680220i | ||||
\(507\) | −1.57832e9 | −0.537859 | ||||||||
\(508\) | 3.15331e9 | − | 2.02651e9i | 1.06719 | − | 0.685844i | ||||
\(509\) | 3.65872e8 | − | 2.54469e9i | 0.122975 | − | 0.855309i | −0.831182 | − | 0.556001i | \(-0.812335\pi\) |
0.954156 | − | 0.299308i | \(-0.0967559\pi\) | |||||||
\(510\) | −2.57204e7 | + | 5.63199e7i | −0.00858583 | + | 0.0188003i | ||||
\(511\) | 1.06108e9 | − | 3.11561e8i | 0.351783 | − | 0.103293i | ||||
\(512\) | 5.80644e8 | + | 1.27143e9i | 0.191190 | + | 0.418648i | ||||
\(513\) | −6.21206e8 | − | 7.16909e8i | −0.203154 | − | 0.234452i | ||||
\(514\) | −3.08217e8 | − | 2.14370e9i | −0.100112 | − | 0.696294i | ||||
\(515\) | −2.44228e8 | − | 7.17118e7i | −0.0787898 | − | 0.0231348i | ||||
\(516\) | 2.03659e8 | − | 2.35035e8i | 0.0652575 | − | 0.0753112i | ||||
\(517\) | 4.59413e8 | + | 2.95247e8i | 0.146213 | + | 0.0939655i | ||||
\(518\) | 6.30763e8 | + | 4.05367e8i | 0.199394 | + | 0.128143i | ||||
\(519\) | 8.32542e8 | − | 9.60804e8i | 0.261409 | − | 0.301682i | ||||
\(520\) | −3.65355e8 | − | 1.07278e8i | −0.113947 | − | 0.0334579i | ||||
\(521\) | −1.95818e7 | − | 1.36194e8i | −0.00606624 | − | 0.0421916i | 0.986563 | − | 0.163378i | \(-0.0522391\pi\) |
−0.992630 | + | 0.121187i | \(0.961330\pi\) | |||||||
\(522\) | 4.89346e8 | + | 5.64735e8i | 0.150581 | + | 0.173779i | ||||
\(523\) | −2.09735e8 | − | 4.59256e8i | −0.0641085 | − | 0.140378i | 0.874866 | − | 0.484365i | \(-0.160949\pi\) |
−0.938974 | + | 0.343987i | \(0.888222\pi\) | |||||||
\(524\) | 1.19918e9 | − | 3.52112e8i | 0.364105 | − | 0.106911i | ||||
\(525\) | −3.96840e8 | + | 8.68958e8i | −0.119690 | + | 0.262085i | ||||
\(526\) | −1.32921e8 | + | 9.24488e8i | −0.0398240 | + | 0.276982i | ||||
\(527\) | 2.22344e8 | − | 1.42892e8i | 0.0661743 | − | 0.0425276i | ||||
\(528\) | −7.39117e7 | −0.0218522 | ||||||||
\(529\) | −9.69525e8 | − | 3.26387e9i | −0.284750 | − | 0.958602i | ||||
\(530\) | −1.73251e8 | −0.0505486 | ||||||||
\(531\) | −5.27739e8 | + | 3.39157e8i | −0.152964 | + | 0.0983037i | ||||
\(532\) | 3.80429e8 | − | 2.64594e9i | 0.109542 | − | 0.761885i | ||||
\(533\) | −2.07252e8 | + | 4.53820e8i | −0.0592863 | + | 0.129819i | ||||
\(534\) | −9.93297e7 | + | 2.91658e7i | −0.0282283 | + | 0.00828858i | ||||
\(535\) | 1.26620e9 | + | 2.77260e9i | 0.357492 | + | 0.782797i | ||||
\(536\) | −1.15500e9 | − | 1.33294e9i | −0.323970 | − | 0.373882i | ||||
\(537\) | −2.29513e8 | − | 1.59630e9i | −0.0639583 | − | 0.444840i | ||||
\(538\) | 3.94804e8 | + | 1.15925e8i | 0.109306 | + | 0.0320951i | ||||
\(539\) | −2.13181e8 | + | 2.46024e8i | −0.0586391 | + | 0.0676731i | ||||
\(540\) | −2.12337e8 | − | 1.36461e8i | −0.0580294 | − | 0.0372932i | ||||
\(541\) | −3.68520e9 | − | 2.36833e9i | −1.00062 | − | 0.643062i | −0.0656736 | − | 0.997841i | \(-0.520920\pi\) |
−0.934950 | + | 0.354779i | \(0.884556\pi\) | |||||||
\(542\) | −1.69274e9 | + | 1.95353e9i | −0.456660 | + | 0.527014i | ||||
\(543\) | 3.25185e8 | + | 9.54829e7i | 0.0871627 | + | 0.0255933i | ||||
\(544\) | 7.50555e7 | + | 5.22023e8i | 0.0199888 | + | 0.139025i | ||||
\(545\) | 5.80540e8 | + | 6.69979e8i | 0.153619 | + | 0.177286i | ||||
\(546\) | −8.39487e7 | − | 1.83822e8i | −0.0220719 | − | 0.0483307i | ||||
\(547\) | 2.18404e9 | − | 6.41293e8i | 0.570566 | − | 0.167533i | 0.0162916 | − | 0.999867i | \(-0.494814\pi\) |
0.554274 | + | 0.832334i | \(0.312996\pi\) | |||||||
\(548\) | 4.53265e8 | − | 9.92511e8i | 0.117658 | − | 0.257634i | ||||
\(549\) | −4.00060e7 | + | 2.78248e8i | −0.0103186 | + | 0.0717676i | ||||
\(550\) | 2.09380e8 | − | 1.34560e8i | 0.0536618 | − | 0.0344864i | ||||
\(551\) | −8.23941e9 | −2.09829 | ||||||||
\(552\) | −1.24305e9 | + | 1.66598e9i | −0.314559 | + | 0.421582i | ||||
\(553\) | 4.61142e9 | 1.15957 | ||||||||
\(554\) | 1.78225e9 | − | 1.14538e9i | 0.445333 | − | 0.286198i | ||||
\(555\) | −1.11095e8 | + | 7.72683e8i | −0.0275848 | + | 0.191856i | ||||
\(556\) | 2.06508e9 | − | 4.52189e9i | 0.509535 | − | 1.11573i | ||||
\(557\) | −3.57540e8 | + | 1.04983e8i | −0.0876660 | + | 0.0257411i | −0.325271 | − | 0.945621i | \(-0.605456\pi\) |
0.237605 | + | 0.971362i | \(0.423637\pi\) | |||||||
\(558\) | −1.74795e8 | − | 3.82748e8i | −0.0425902 | − | 0.0932596i | ||||
\(559\) | 1.69763e8 | + | 1.95917e8i | 0.0411056 | + | 0.0474384i | ||||
\(560\) | −4.62568e7 | − | 3.21723e8i | −0.0111306 | − | 0.0774148i | ||||
\(561\) | −5.02828e7 | − | 1.47644e7i | −0.0120240 | − | 0.00353057i | ||||
\(562\) | 1.46114e9 | − | 1.68625e9i | 0.347228 | − | 0.400723i | ||||
\(563\) | −5.76571e9 | − | 3.70540e9i | −1.36168 | − | 0.875096i | −0.363278 | − | 0.931681i | \(-0.618342\pi\) |
−0.998398 | + | 0.0565852i | \(0.981979\pi\) | |||||||
\(564\) | 1.61512e9 | + | 1.03797e9i | 0.379076 | + | 0.243618i | ||||
\(565\) | −7.98998e8 | + | 9.22093e8i | −0.186370 | + | 0.215083i | ||||
\(566\) | 3.44784e9 | + | 1.01238e9i | 0.799263 | + | 0.234685i | ||||
\(567\) | −4.55723e7 | − | 3.16962e8i | −0.0104993 | − | 0.0730242i | ||||
\(568\) | 1.00708e9 | + | 1.16223e9i | 0.230592 | + | 0.266118i | ||||
\(569\) | −2.93112e9 | − | 6.41825e9i | −0.667022 | − | 1.46057i | −0.875831 | − | 0.482618i | \(-0.839686\pi\) |
0.208809 | − | 0.977956i | \(-0.433041\pi\) | |||||||
\(570\) | −1.04283e9 | + | 3.06203e8i | −0.235859 | + | 0.0692545i | ||||
\(571\) | −2.58507e9 | + | 5.66051e9i | −0.581093 | + | 1.27242i | 0.359585 | + | 0.933112i | \(0.382918\pi\) |
−0.940677 | + | 0.339303i | \(0.889809\pi\) | |||||||
\(572\) | 1.91872e7 | − | 1.33450e8i | 0.00428673 | − | 0.0298149i | ||||
\(573\) | 1.26405e9 | − | 8.12357e8i | 0.280688 | − | 0.180387i | ||||
\(574\) | 8.69997e8 | 0.192011 | ||||||||
\(575\) | −2.39050e8 | + | 3.41792e9i | −0.0524387 | + | 0.749763i | ||||
\(576\) | 4.78297e8 | 0.104284 | ||||||||
\(577\) | 5.82291e9 | − | 3.74216e9i | 1.26190 | − | 0.810973i | 0.273356 | − | 0.961913i | \(-0.411866\pi\) |
0.988543 | + | 0.150940i | \(0.0482299\pi\) | |||||||
\(578\) | 3.43700e8 | − | 2.39048e9i | 0.0740341 | − | 0.514919i | ||||
\(579\) | −1.65198e9 | + | 3.61734e9i | −0.353697 | + | 0.774488i | ||||
\(580\) | −2.10354e9 | + | 6.17655e8i | −0.447664 | + | 0.131446i | ||||
\(581\) | −2.10453e9 | − | 4.60828e9i | −0.445184 | − | 0.974816i | ||||
\(582\) | −1.43572e9 | − | 1.65691e9i | −0.301883 | − | 0.348392i | ||||
\(583\) | −2.08692e7 | − | 1.45149e8i | −0.00436181 | − | 0.0303371i | ||||
\(584\) | −2.32335e9 | − | 6.82198e8i | −0.482692 | − | 0.141731i | ||||
\(585\) | 1.37780e8 | − | 1.59007e8i | 0.0284538 | − | 0.0328374i | ||||
\(586\) | −2.03876e9 | − | 1.31023e9i | −0.418529 | − | 0.268972i | ||||
\(587\) | −1.85446e9 | − | 1.19179e9i | −0.378428 | − | 0.243201i | 0.337574 | − | 0.941299i | \(-0.390394\pi\) |
−0.716002 | + | 0.698098i | \(0.754030\pi\) | |||||||
\(588\) | −7.49460e8 | + | 8.64923e8i | −0.152029 | + | 0.175451i | ||||
\(589\) | 4.45162e9 | + | 1.30711e9i | 0.897666 | + | 0.263579i | ||||
\(590\) | 1.02289e8 | + | 7.11435e8i | 0.0205044 | + | 0.142611i | ||||
\(591\) | −1.10419e9 | − | 1.27430e9i | −0.220033 | − | 0.253931i | ||||
\(592\) | 3.33842e8 | + | 7.31012e8i | 0.0661325 | + | 0.144810i | ||||
\(593\) | 1.57171e9 | − | 4.61496e8i | 0.309515 | − | 0.0908818i | −0.123286 | − | 0.992371i | \(-0.539343\pi\) |
0.432801 | + | 0.901489i | \(0.357525\pi\) | |||||||
\(594\) | −3.46583e7 | + | 7.58912e7i | −0.00678508 | + | 0.0148573i | ||||
\(595\) | 3.27974e7 | − | 2.28111e8i | 0.00638308 | − | 0.0443953i | ||||
\(596\) | −2.45997e9 | + | 1.58092e9i | −0.475956 | + | 0.305879i | ||||
\(597\) | −4.29386e8 | −0.0825920 | ||||||||
\(598\) | −5.13319e8 | − | 5.11706e8i | −0.0981596 | − | 0.0978513i | ||||
\(599\) | −2.26790e9 | −0.431152 | −0.215576 | − | 0.976487i | \(-0.569163\pi\) | ||||
−0.215576 | + | 0.976487i | \(0.569163\pi\) | |||||||
\(600\) | 1.75966e9 | − | 1.13086e9i | 0.332582 | − | 0.213737i | ||||
\(601\) | 8.01899e8 | − | 5.57733e9i | 0.150681 | − | 1.04801i | −0.764400 | − | 0.644742i | \(-0.776965\pi\) |
0.915082 | − | 0.403269i | \(-0.132126\pi\) | |||||||
\(602\) | 1.87791e8 | − | 4.11206e8i | 0.0350823 | − | 0.0768195i | ||||
\(603\) | 9.35059e8 | − | 2.74558e8i | 0.173671 | − | 0.0509945i | ||||
\(604\) | −1.12741e8 | − | 2.46869e8i | −0.0208187 | − | 0.0455867i | ||||
\(605\) | 1.73217e9 | + | 1.99903e9i | 0.318014 | + | 0.367007i | ||||
\(606\) | −3.62557e7 | − | 2.52164e8i | −0.00661793 | − | 0.0460287i | ||||
\(607\) | −3.82630e9 | − | 1.12350e9i | −0.694414 | − | 0.203898i | −0.0845674 | − | 0.996418i | \(-0.526951\pi\) |
−0.609847 | + | 0.792519i | \(0.708769\pi\) | |||||||
\(608\) | −6.06260e9 | + | 6.99661e9i | −1.09395 | + | 1.26248i | ||||
\(609\) | −2.33985e9 | − | 1.50373e9i | −0.419785 | − | 0.269779i | ||||
\(610\) | 2.70950e8 | + | 1.74129e8i | 0.0483319 | + | 0.0310610i | ||||
\(611\) | −1.04801e9 | + | 1.20946e9i | −0.185874 | + | 0.214510i | ||||
\(612\) | −1.76774e8 | − | 5.19057e7i | −0.0311738 | − | 0.00915345i | ||||
\(613\) | 6.04503e8 | + | 4.20441e9i | 0.105995 | + | 0.737214i | 0.971625 | + | 0.236528i | \(0.0760096\pi\) |
−0.865629 | + | 0.500685i | \(0.833081\pi\) | |||||||
\(614\) | 3.41465e9 | + | 3.94072e9i | 0.595329 | + | 0.687046i | ||||
\(615\) | 3.76275e8 | + | 8.23927e8i | 0.0652292 | + | 0.142832i | ||||
\(616\) | −5.39258e8 | + | 1.58341e8i | −0.0929532 | + | 0.0272935i | ||||
\(617\) | 3.17585e9 | − | 6.95414e9i | 0.544329 | − | 1.19191i | −0.415051 | − | 0.909798i | \(-0.636236\pi\) |
0.959380 | − | 0.282116i | \(-0.0910365\pi\) | |||||||
\(618\) | −4.20950e7 | + | 2.92777e8i | −0.00717415 | + | 0.0498973i | ||||
\(619\) | 3.33507e9 | − | 2.14332e9i | 0.565182 | − | 0.363220i | −0.226634 | − | 0.973980i | \(-0.572772\pi\) |
0.791816 | + | 0.610760i | \(0.209136\pi\) | |||||||
\(620\) | 1.23450e9 | 0.208026 | ||||||||
\(621\) | −5.52012e8 | − | 1.00717e9i | −0.0924971 | − | 0.168764i | ||||
\(622\) | 5.40617e9 | 0.900789 | ||||||||
\(623\) | 3.24159e8 | − | 2.08324e8i | 0.0537093 | − | 0.0345169i | ||||
\(624\) | 3.08249e7 | − | 2.14392e8i | 0.00507874 | − | 0.0353234i | ||||
\(625\) | 8.02455e8 | − | 1.75713e9i | 0.131474 | − | 0.287888i | ||||
\(626\) | 2.16298e9 | − | 6.35107e8i | 0.352404 | − | 0.103475i | ||||
\(627\) | −3.82153e8 | − | 8.36797e8i | −0.0619156 | − | 0.135576i | ||||
\(628\) | −2.04367e9 | − | 2.35852e9i | −0.329270 | − | 0.379997i | ||||
\(629\) | 8.10911e7 | + | 5.64001e8i | 0.0129926 | + | 0.0903655i | ||||
\(630\) | −3.52030e8 | − | 1.03365e8i | −0.0560902 | − | 0.0164696i | ||||
\(631\) | −7.52665e9 | + | 8.68621e9i | −1.19261 | + | 1.37635i | −0.283935 | + | 0.958843i | \(0.591640\pi\) |
−0.908676 | + | 0.417503i | \(0.862905\pi\) | |||||||
\(632\) | −8.49433e9 | − | 5.45897e9i | −1.33850 | − | 0.860203i | ||||
\(633\) | −2.13919e8 | − | 1.37477e8i | −0.0335225 | − | 0.0215436i | ||||
\(634\) | −6.83730e8 | + | 7.89066e8i | −0.106555 | + | 0.122971i | ||||
\(635\) | 5.44283e9 | + | 1.59816e9i | 0.843561 | + | 0.247692i | ||||
\(636\) | −7.33680e7 | − | 5.10286e8i | −0.0113086 | − | 0.0786527i | ||||
\(637\) | −6.24721e8 | − | 7.20966e8i | −0.0957631 | − | 0.110516i | ||||
\(638\) | 3.01035e8 | + | 6.59175e8i | 0.0458928 | + | 0.100491i | ||||
\(639\) | −8.15307e8 | + | 2.39396e8i | −0.123614 | + | 0.0362964i | ||||
\(640\) | −1.19528e9 | + | 2.61729e9i | −0.180235 | + | 0.394659i | ||||
\(641\) | −6.67638e8 | + | 4.64352e9i | −0.100124 | + | 0.696377i | 0.876497 | + | 0.481407i | \(0.159874\pi\) |
−0.976621 | + | 0.214969i | \(0.931035\pi\) | |||||||
\(642\) | 2.97972e9 | − | 1.91495e9i | 0.444429 | − | 0.285617i | ||||
\(643\) | 6.06327e9 | 0.899432 | 0.449716 | − | 0.893172i | \(-0.351525\pi\) | ||||
0.449716 | + | 0.893172i | \(0.351525\pi\) | |||||||
\(644\) | 1.12627e9 | − | 3.03421e9i | 0.166166 | − | 0.447657i | ||||
\(645\) | 4.70651e8 | 0.0690621 | ||||||||
\(646\) | −6.67388e8 | + | 4.28904e8i | −0.0974013 | + | 0.0625960i | ||||
\(647\) | 1.07965e9 | − | 7.50912e9i | 0.156718 | − | 1.08999i | −0.747913 | − | 0.663797i | \(-0.768944\pi\) |
0.904630 | − | 0.426197i | \(-0.140147\pi\) | |||||||
\(648\) | −2.91273e8 | + | 6.37800e8i | −0.0420522 | + | 0.0920814i | ||||
\(649\) | −5.83716e8 | + | 1.71395e8i | −0.0838196 | + | 0.0246116i | ||||
\(650\) | 3.02990e8 | + | 6.63456e8i | 0.0432744 | + | 0.0947578i | ||||
\(651\) | 1.02563e9 | + | 1.18364e9i | 0.145699 | + | 0.168146i | ||||
\(652\) | −4.61800e7 | − | 3.21189e8i | −0.00652510 | − | 0.0453830i | ||||
\(653\) | 5.77984e9 | + | 1.69712e9i | 0.812307 | + | 0.238515i | 0.661400 | − | 0.750033i | \(-0.269963\pi\) |
0.150907 | + | 0.988548i | \(0.451781\pi\) | |||||||
\(654\) | 6.74620e8 | − | 7.78553e8i | 0.0943055 | − | 0.108834i | ||||
\(655\) | 1.59116e9 | + | 1.02258e9i | 0.221243 | + | 0.142184i | ||||
\(656\) | 7.84448e8 | + | 5.04134e8i | 0.108493 | + | 0.0697241i | ||||
\(657\) | 8.76166e8 | − | 1.01115e9i | 0.120534 | − | 0.139103i | ||||
\(658\) | 2.67767e9 | + | 7.86234e8i | 0.366409 | + | 0.107587i | ||||
\(659\) | −7.52410e7 | − | 5.23313e8i | −0.0102413 | − | 0.0712299i | 0.984060 | − | 0.177838i | \(-0.0569102\pi\) |
−0.994301 | + | 0.106608i | \(0.966001\pi\) | |||||||
\(660\) | −1.60294e8 | − | 1.84989e8i | −0.0217026 | − | 0.0250462i | ||||
\(661\) | −1.88391e9 | − | 4.12518e9i | −0.253720 | − | 0.555569i | 0.739319 | − | 0.673355i | \(-0.235147\pi\) |
−0.993039 | + | 0.117786i | \(0.962420\pi\) | |||||||
\(662\) | −1.39464e8 | + | 4.09504e7i | −0.0186836 | + | 0.00548600i | ||||
\(663\) | 6.37966e7 | − | 1.39695e8i | 0.00850159 | − | 0.0186159i | ||||
\(664\) | −1.57867e9 | + | 1.09799e10i | −0.209268 | + | 1.45549i | ||||
\(665\) | 3.40325e9 | − | 2.18713e9i | 0.448764 | − | 0.288403i | ||||
\(666\) | 9.07133e8 | 0.118990 | ||||||||
\(667\) | −9.75116e9 | − | 2.10517e9i | −1.27238 | − | 0.274693i | ||||
\(668\) | −2.23677e9 | −0.290338 | ||||||||
\(669\) | 3.97543e9 | − | 2.55485e9i | 0.513325 | − | 0.329894i | ||||
\(670\) | 1.58904e8 | − | 1.10520e9i | 0.0204114 | − | 0.141964i | ||||
\(671\) | −1.13247e8 | + | 2.47976e8i | −0.0144709 | + | 0.0316869i | ||||
\(672\) | −2.99858e9 | + | 8.80463e8i | −0.381174 | + | 0.111923i | ||||
\(673\) | −2.10783e9 | − | 4.61550e9i | −0.266552 | − | 0.583668i | 0.728271 | − | 0.685289i | \(-0.240324\pi\) |
−0.994823 | + | 0.101621i | \(0.967597\pi\) | |||||||
\(674\) | 3.74078e9 | + | 4.31709e9i | 0.470601 | + | 0.543103i | ||||
\(675\) | 1.64481e8 | + | 1.14399e9i | 0.0205850 | + | 0.143172i | ||||
\(676\) | −5.16305e9 | − | 1.51601e9i | −0.642825 | − | 0.188751i | ||||
\(677\) | −3.05633e9 | + | 3.52719e9i | −0.378564 | + | 0.436887i | −0.912774 | − | 0.408466i | \(-0.866064\pi\) |
0.534209 | + | 0.845352i | \(0.320609\pi\) | |||||||
\(678\) | 1.19275e9 | + | 7.66536e8i | 0.146976 | + | 0.0944557i | ||||
\(679\) | 6.86501e9 | + | 4.41187e9i | 0.841583 | + | 0.540853i | ||||
\(680\) | −3.30450e8 | + | 3.81360e8i | −0.0403018 | + | 0.0465108i | ||||
\(681\) | 4.34116e9 | + | 1.27468e9i | 0.526734 | + | 0.154663i | ||||
\(682\) | −5.80719e7 | − | 4.03899e8i | −0.00701004 | − | 0.0487559i | ||||
\(683\) | 7.88962e9 | + | 9.10511e9i | 0.947510 | + | 1.09349i | 0.995512 | + | 0.0946378i | \(0.0301693\pi\) |
−0.0480016 | + | 0.998847i | \(0.515285\pi\) | |||||||
\(684\) | −1.34350e9 | − | 2.94185e9i | −0.160524 | − | 0.351499i | ||||
\(685\) | 1.58436e9 | − | 4.65211e8i | 0.188338 | − | 0.0553010i | ||||
\(686\) | −1.92702e9 | + | 4.21959e9i | −0.227904 | + | 0.499040i | ||||
\(687\) | −7.56561e8 | + | 5.26200e9i | −0.0890216 | + | 0.619159i | ||||
\(688\) | 4.07606e8 | − | 2.61952e8i | 0.0477178 | − | 0.0306664i | ||||
\(689\) | 4.29729e8 | 0.0500527 | ||||||||
\(690\) | −1.31241e9 | + | 9.59406e7i | −0.152088 | + | 0.0111181i | ||||
\(691\) | −1.53421e10 | −1.76893 | −0.884465 | − | 0.466607i | \(-0.845476\pi\) | ||||
−0.884465 | + | 0.466607i | \(0.845476\pi\) | |||||||
\(692\) | 3.64630e9 | − | 2.34333e9i | 0.418293 | − | 0.268821i | ||||
\(693\) | 4.41946e7 | − | 3.07380e8i | 0.00504432 | − | 0.0350840i | ||||
\(694\) | −1.17613e9 | + | 2.57536e9i | −0.133566 | + | 0.292469i | ||||
\(695\) | 7.21837e9 | − | 2.11950e9i | 0.815628 | − | 0.239490i | ||||
\(696\) | 2.52994e9 | + | 5.53980e9i | 0.284432 | + | 0.622818i | ||||
\(697\) | 4.32963e8 | + | 4.99665e8i | 0.0484324 | + | 0.0558939i | ||||
\(698\) | 4.62599e8 | + | 3.21744e9i | 0.0514885 | + | 0.358111i | ||||
\(699\) | 4.94699e9 | + | 1.45257e9i | 0.547861 | + | 0.160867i | ||||
\(700\) | −2.13280e9 | + | 2.46139e9i | −0.235021 | + | 0.271229i | ||||
\(701\) | 1.38407e9 | + | 8.89490e8i | 0.151756 | + | 0.0975277i | 0.614315 | − | 0.789061i | \(-0.289432\pi\) |
−0.462559 | + | 0.886588i | \(0.653069\pi\) | |||||||
\(702\) | −2.05679e8 | − | 1.32182e8i | −0.0224394 | − | 0.0144209i | ||||
\(703\) | −6.55012e9 | + | 7.55924e9i | −0.711059 | + | 0.820606i | ||||
\(704\) | 4.45049e8 | + | 1.30678e8i | 0.0480732 | + | 0.0141156i | ||||
\(705\) | 4.13495e8 | + | 2.87592e9i | 0.0444435 | + | 0.309111i | ||||
\(706\) | −4.24443e9 | − | 4.89833e9i | −0.453944 | − | 0.523880i | ||||
\(707\) | 3.93914e8 | + | 8.62552e8i | 0.0419212 | + | 0.0917947i | ||||
\(708\) | −2.05212e9 | + | 6.02556e8i | −0.217313 | + | 0.0638089i | ||||
\(709\) | 1.27111e9 | − | 2.78335e9i | 0.133944 | − | 0.293295i | −0.830761 | − | 0.556629i | \(-0.812095\pi\) |
0.964705 | + | 0.263333i | \(0.0848219\pi\) | |||||||
\(710\) | −1.38553e8 | + | 9.63658e8i | −0.0145282 | + | 0.101046i | ||||
\(711\) | 4.69346e9 | − | 3.01630e9i | 0.489722 | − | 0.314725i | ||||
\(712\) | −8.43721e8 | −0.0876029 | ||||||||
\(713\) | 4.93443e9 | + | 2.68433e9i | 0.509828 | + | 0.277347i | ||||
\(714\) | −2.67803e8 | −0.0275342 | ||||||||
\(715\) | 1.71645e8 | − | 1.10310e8i | 0.0175615 | − | 0.0112861i | ||||
\(716\) | 7.82485e8 | − | 5.44230e9i | 0.0796673 | − | 0.554098i | ||||
\(717\) | −1.90258e9 | + | 4.16607e9i | −0.192764 | + | 0.422094i | ||||
\(718\) | 7.03682e9 | − | 2.06620e9i | 0.709481 | − | 0.208322i | ||||
\(719\) | −5.00079e9 | − | 1.09502e10i | −0.501750 | − | 1.09868i | −0.975897 | − | 0.218233i | \(-0.929971\pi\) |
0.474147 | − | 0.880446i | \(-0.342757\pi\) | |||||||
\(720\) | −2.57517e8 | − | 2.97190e8i | −0.0257124 | − | 0.0296737i | ||||
\(721\) | −1.56684e8 | − | 1.08976e9i | −0.0155686 | − | 0.108282i | ||||
\(722\) | −8.21969e9 | − | 2.41352e9i | −0.812785 | − | 0.238655i | ||||
\(723\) | 2.09601e9 | − | 2.41893e9i | 0.206257 | − | 0.238034i | ||||
\(724\) | 9.72040e8 | + | 6.24692e8i | 0.0951917 | + | 0.0611760i | ||||
\(725\) | 8.44503e9 | + | 5.42729e9i | 0.823035 | + | 0.528932i | ||||
\(726\) | 2.01287e9 | − | 2.32298e9i | 0.195226 | − | 0.225303i | ||||
\(727\) | 5.32974e9 | + | 1.56495e9i | 0.514441 | + | 0.151054i | 0.528641 | − | 0.848846i | \(-0.322702\pi\) |
−0.0141997 | + | 0.999899i | \(0.504520\pi\) | |||||||
\(728\) | −2.34392e8 | − | 1.63023e9i | −0.0225156 | − | 0.156599i | ||||
\(729\) | −2.53706e8 | − | 2.92793e8i | −0.0242541 | − | 0.0279907i | ||||
\(730\) | −6.36805e8 | − | 1.39441e9i | −0.0605866 | − | 0.132666i | ||||
\(731\) | 3.29624e8 | − | 9.67864e7i | 0.0312110 | − | 0.00916439i | ||||
\(732\) | −3.98131e8 | + | 8.71785e8i | −0.0375178 | + | 0.0821524i | ||||
\(733\) | −2.90240e9 | + | 2.01867e10i | −0.272204 | + | 1.89322i | 0.153169 | + | 0.988200i | \(0.451052\pi\) |
−0.425373 | + | 0.905018i | \(0.639857\pi\) | |||||||
\(734\) | −1.36405e9 | + | 8.76619e8i | −0.127319 | + | 0.0818228i | ||||
\(735\) | −1.73198e9 | −0.160893 | ||||||||
\(736\) | −8.96259e9 | + | 6.73134e9i | −0.828631 | + | 0.622342i | ||||
\(737\) | 9.45073e8 | 0.0869619 | ||||||||
\(738\) | 8.85475e8 | − | 5.69061e8i | 0.0810922 | − | 0.0521148i | ||||
\(739\) | 1.18705e9 | − | 8.25609e9i | 0.108196 | − | 0.752521i | −0.861421 | − | 0.507892i | \(-0.830425\pi\) |
0.969617 | − | 0.244629i | \(-0.0786661\pi\) | |||||||
\(740\) | −1.10559e9 | + | 2.42091e9i | −0.100296 | + | 0.219618i | ||||
\(741\) | 2.58663e9 | − | 7.59504e8i | 0.233545 | − | 0.0685750i | ||||
\(742\) | −3.11299e8 | − | 6.81649e8i | −0.0279746 | − | 0.0612558i | ||||
\(743\) | 8.94176e9 | + | 1.03193e10i | 0.799764 | + | 0.922977i | 0.998368 | − | 0.0571024i | \(-0.0181862\pi\) |
−0.198604 | + | 0.980080i | \(0.563641\pi\) | |||||||
\(744\) | −4.88044e8 | − | 3.39442e9i | −0.0434464 | − | 0.302176i | ||||
\(745\) | −4.24607e9 | − | 1.24676e9i | −0.376219 | − | 0.110468i | ||||
\(746\) | −2.63233e9 | + | 3.03787e9i | −0.232142 | + | 0.267906i | ||||
\(747\) | −5.15623e9 | − | 3.31371e9i | −0.452595 | − | 0.290865i | ||||
\(748\) | −1.50305e8 | − | 9.65950e7i | −0.0131316 | − | 0.00843916i | ||||
\(749\) | −8.63358e9 | + | 9.96368e9i | −0.750766 | + | 0.866430i | ||||
\(750\) | 2.96103e9 | + | 8.69438e8i | 0.256288 | + | 0.0752531i | ||||
\(751\) | −1.28521e9 | − | 8.93880e9i | −0.110722 | − | 0.770087i | −0.967221 | − | 0.253938i | \(-0.918274\pi\) |
0.856499 | − | 0.516149i | \(-0.172635\pi\) | |||||||
\(752\) | 1.95877e9 | + | 2.26054e9i | 0.167966 | + | 0.193843i | ||||
\(753\) | −6.34120e8 | − | 1.38853e9i | −0.0541239 | − | 0.118515i | ||||
\(754\) | −2.03758e9 | + | 5.98288e8i | −0.173107 | + | 0.0508289i | ||||
\(755\) | 1.70619e8 | − | 3.73603e8i | 0.0144282 | − | 0.0315934i | ||||
\(756\) | 1.55371e8 | − | 1.08063e9i | 0.0130781 | − | 0.0909599i | ||||
\(757\) | 1.34426e10 | − | 8.63901e9i | 1.12628 | − | 0.723816i | 0.161500 | − | 0.986873i | \(-0.448367\pi\) |
0.964780 | + | 0.263057i | \(0.0847306\pi\) | |||||||
\(758\) | −2.41175e9 | −0.201136 | ||||||||
\(759\) | −2.38467e8 | − | 1.08797e9i | −0.0197962 | − | 0.0903174i | ||||
\(760\) | −8.85797e9 | −0.731959 | ||||||||
\(761\) | 1.39147e10 | − | 8.94244e9i | 1.14453 | − | 0.735545i | 0.175988 | − | 0.984392i | \(-0.443688\pi\) |
0.968543 | + | 0.248847i | \(0.0800516\pi\) | |||||||
\(762\) | 9.38123e8 | − | 6.52479e9i | 0.0768100 | − | 0.534225i | ||||
\(763\) | −1.59289e9 | + | 3.48794e9i | −0.129822 | + | 0.284271i | ||||
\(764\) | 4.91528e9 | − | 1.44326e9i | 0.398769 | − | 0.117089i | ||||
\(765\) | −1.15825e8 | − | 2.53622e8i | −0.00935380 | − | 0.0204820i | ||||
\(766\) | −3.62123e9 | − | 4.17913e9i | −0.291109 | − | 0.335958i | ||||
\(767\) | −2.53716e8 | − | 1.76464e9i | −0.0203032 | − | 0.141212i | ||||
\(768\) | 5.38378e9 | + | 1.58082e9i | 0.428868 | + | 0.125927i | ||||
\(769\) | 1.61936e8 | − | 1.86884e8i | 0.0128411 | − | 0.0148194i | −0.749293 | − | 0.662239i | \(-0.769606\pi\) |
0.762134 | + | 0.647420i | \(0.224152\pi\) | |||||||
\(770\) | −2.99318e8 | − | 1.92360e8i | −0.0236274 | − | 0.0151844i | ||||
\(771\) | 8.20463e9 | + | 5.27279e9i | 0.644716 | + | 0.414334i | ||||
\(772\) | −8.87853e9 | + | 1.02464e10i | −0.694514 | + | 0.801511i | ||||
\(773\) | 2.42752e10 | + | 7.12785e9i | 1.89032 | + | 0.555048i | 0.993675 | + | 0.112294i | \(0.0358198\pi\) |
0.896643 | + | 0.442754i | \(0.145998\pi\) | |||||||
\(774\) | −7.78351e7 | − | 5.41355e8i | −0.00603368 | − | 0.0419652i | ||||
\(775\) | −3.70172e9 | − | 4.27202e9i | −0.285659 | − | 0.329668i | ||||
\(776\) | −7.42274e9 | − | 1.62535e10i | −0.570227 | − | 1.24862i | ||||
\(777\) | −3.23971e9 | + | 9.51265e8i | −0.247761 | + | 0.0727492i | ||||
\(778\) | −1.66443e9 | + | 3.64459e9i | −0.126717 | + | 0.277472i | ||||
\(779\) | −1.65169e9 | + | 1.14878e10i | −0.125184 | + | 0.870672i | ||||
\(780\) | 6.03438e8 | − | 3.87806e8i | 0.0455304 | − | 0.0292606i | ||||
\(781\) | −8.24038e8 | −0.0618969 | ||||||||
\(782\) | −8.99424e8 | + | 3.37081e8i | −0.0672576 | + | 0.0252064i | ||||
\(783\) | −3.36505e9 | −0.250510 | ||||||||
\(784\) | −1.49997e9 | + | 9.63975e8i | −0.111167 | + | 0.0714430i | ||||
\(785\) | 6.72132e8 | − | 4.67478e9i | 0.0495919 | − | 0.344919i | ||||
\(786\) | 9.13053e8 | − | 1.99931e9i | 0.0670683 | − | 0.146859i | ||||
\(787\) | −1.49417e10 | + | 4.38727e9i | −1.09267 | + | 0.320836i | −0.777935 | − | 0.628345i | \(-0.783733\pi\) |
−0.314731 | + | 0.949181i | \(0.601914\pi\) | |||||||
\(788\) | −2.38806e9 | − | 5.22912e9i | −0.173861 | − | 0.380703i | ||||
\(789\) | −2.75435e9 | − | 3.17869e9i | −0.199641 | − | 0.230398i | ||||
\(790\) | −9.09710e8 | − | 6.32717e9i | −0.0656460 | − | 0.456578i | ||||
\(791\) | −5.06359e9 | − | 1.48680e9i | −0.363782 | − | 0.106816i | ||||
\(792\) | −4.45283e8 | + | 5.13884e8i | −0.0318491 | + | 0.0367559i | ||||
\(793\) | −6.72060e8 | − | 4.31907e8i | −0.0478577 | − | 0.0307563i | ||||
\(794\) | −6.80527e9 | − | 4.37348e9i | −0.482474 | − | 0.310067i | ||||
\(795\) | 5.10915e8 | − | 5.89628e8i | 0.0360632 | − | 0.0416191i | ||||
\(796\) | −1.40462e9 | − | 4.12433e8i | −0.0987103 | − | 0.0289840i | ||||
\(797\) | −2.07185e9 | − | 1.44100e10i | −0.144962 | − | 1.00823i | −0.924310 | − | 0.381642i | \(-0.875359\pi\) |
0.779348 | − | 0.626591i | \(-0.215550\pi\) | |||||||
\(798\) | −3.07852e9 | − | 3.55280e9i | −0.214453 | − | 0.247492i | ||||
\(799\) | 8.81009e8 | + | 1.92914e9i | 0.0611036 | + | 0.133798i | ||||
\(800\) | 1.08226e10 | − | 3.17779e9i | 0.747335 | − | 0.219437i | ||||
\(801\) | 1.93662e8 | − | 4.24061e8i | 0.0133147 | − | 0.0291551i | ||||
\(802\) | 4.57450e8 | − | 3.18164e9i | 0.0313136 | − | 0.217791i | ||||
\(803\) | 1.09152e9 | − | 7.01479e8i | 0.0743924 | − | 0.0478091i | ||||
\(804\) | 3.32251e9 | 0.225460 | ||||||||
\(805\) | 4.58648e9 | − | 1.71889e9i | 0.309880 | − | 0.116135i | ||||
\(806\) | 1.19579e9 | 0.0804417 | ||||||||
\(807\) | −1.55881e9 | + | 1.00178e9i | −0.104408 | + | 0.0670991i | ||||
\(808\) | 2.95487e8 | − | 2.05515e9i | 0.0197060 | − | 0.137058i | ||||
\(809\) | −4.19278e9 | + | 9.18090e9i | −0.278408 | + | 0.609629i | −0.996245 | − | 0.0865829i | \(-0.972405\pi\) |
0.717836 | + | 0.696212i | \(0.245133\pi\) | |||||||
\(810\) | −4.25903e8 | + | 1.25056e8i | −0.0281588 | + | 0.00826816i | ||||
\(811\) | −3.20987e9 | − | 7.02864e9i | −0.211308 | − | 0.462699i | 0.774067 | − | 0.633104i | \(-0.218220\pi\) |
−0.985374 | + | 0.170405i | \(0.945492\pi\) | |||||||
\(812\) | −6.20980e9 | − | 7.16649e9i | −0.407035 | − | 0.469743i | ||||
\(813\) | −1.65660e9 | − | 1.15219e10i | −0.108119 | − | 0.751981i | ||||
\(814\) | 8.44075e8 | + | 2.47843e8i | 0.0548524 | + | 0.0161061i | ||||
\(815\) | 3.21585e8 | − | 3.71129e8i | 0.0208087 | − | 0.0240145i | ||||
\(816\) | −2.41470e8 | − | 1.55183e8i | −0.0155577 | − | 0.00999836i | ||||
\(817\) | 5.07319e9 | + | 3.26034e9i | 0.325465 | + | 0.209164i | ||||
\(818\) | −3.35677e8 | + | 3.87392e8i | −0.0214430 | + | 0.0247465i | ||||
\(819\) | 8.73170e8 | + | 2.56386e8i | 0.0555399 | + | 0.0163080i | ||||
\(820\) | 4.39483e8 | + | 3.05667e9i | 0.0278351 | + | 0.193598i | ||||
\(821\) | −1.99128e10 | − | 2.29806e10i | −1.25583 | − | 1.44931i | −0.842470 | − | 0.538743i | \(-0.818899\pi\) |
−0.413363 | − | 0.910566i | \(-0.635646\pi\) | |||||||
\(822\) | −7.97117e8 | − | 1.74544e9i | −0.0500577 | − | 0.109611i | ||||
\(823\) | 1.86021e10 | − | 5.46206e9i | 1.16322 | − | 0.341552i | 0.357537 | − | 0.933899i | \(-0.383617\pi\) |
0.805683 | + | 0.592347i | \(0.201799\pi\) | |||||||
\(824\) | −1.00144e9 | + | 2.19284e9i | −0.0623560 | + | 0.136541i | ||||
\(825\) | −1.59508e8 | + | 1.10940e9i | −0.00988996 | + | 0.0687862i | ||||
\(826\) | −2.61532e9 | + | 1.68077e9i | −0.161471 | + | 0.103771i | ||||
\(827\) | 1.54451e10 | 0.949558 | 0.474779 | − | 0.880105i | \(-0.342528\pi\) | ||||
0.474779 | + | 0.880105i | \(0.342528\pi\) | |||||||
\(828\) | −8.38356e8 | − | 3.82488e9i | −0.0513242 | − | 0.234159i | ||||
\(829\) | −8.30854e9 | −0.506505 | −0.253253 | − | 0.967400i | \(-0.581500\pi\) | ||||
−0.253253 | + | 0.967400i | \(0.581500\pi\) | |||||||
\(830\) | −5.90770e9 | + | 3.79665e9i | −0.358629 | + | 0.230477i | ||||
\(831\) | −1.35774e9 | + | 9.44331e9i | −0.0820756 | + | 0.570848i | ||||
\(832\) | −5.64659e8 | + | 1.23643e9i | −0.0339903 | + | 0.0744283i | ||||
\(833\) | −1.21301e9 | + | 3.56171e8i | −0.0727119 | + | 0.0213501i | ||||
\(834\) | −3.63167e9 | − | 7.95224e9i | −0.216783 | − | 0.474688i | ||||
\(835\) | −2.21673e9 | − | 2.55825e9i | −0.131768 | − | 0.152069i | ||||
\(836\) | −4.46348e8 | − | 3.10442e9i | −0.0264211 | − | 0.183763i | ||||
\(837\) | 1.81809e9 | + | 5.33838e8i | 0.107171 | + | 0.0314681i | ||||
\(838\) | −8.93173e9 | + | 1.03078e10i | −0.524302 | + | 0.605077i | ||||
\(839\) | −2.71878e10 | − | 1.74725e10i | −1.58930 | − | 1.02138i | −0.972096 | − | 0.234583i | \(-0.924628\pi\) |
−0.617207 | − | 0.786801i | \(-0.711736\pi\) | |||||||
\(840\) | −2.51551e9 | − | 1.61662e9i | −0.146436 | − | 0.0941087i | ||||
\(841\) | −7.84411e9 | + | 9.05259e9i | −0.454734 | + | 0.524791i | ||||
\(842\) | 7.28159e9 | + | 2.13807e9i | 0.420372 | + | 0.123432i | ||||
\(843\) | 1.42994e9 | + | 9.94547e9i | 0.0822095 | + | 0.571780i | ||||
\(844\) | −5.67728e8 | − | 6.55193e8i | −0.0325044 | − | 0.0375120i | ||||
\(845\) | −3.38291e9 | − | 7.40753e9i | −0.192882 | − | 0.422353i | ||||
\(846\) | 3.23958e9 | − | 9.51226e8i | 0.183947 | − | 0.0540116i | ||||
\(847\) | −4.75273e9 | + | 1.04070e10i | −0.268752 | + | 0.588484i | ||||
\(848\) | 1.14305e8 | − | 7.95008e8i | 0.00643694 | − | 0.0447699i | ||||
\(849\) | −1.36131e10 | + | 8.74862e9i | −0.763450 | + | 0.490640i | ||||
\(850\) | 9.66563e8 | 0.0539838 | ||||||||
\(851\) | −9.68331e9 | + | 7.27264e9i | −0.538605 | + | 0.404518i | ||||
\(852\) | −2.89700e9 | −0.160476 | ||||||||
\(853\) | 1.09614e10 | − | 7.04444e9i | 0.604704 | − | 0.388620i | −0.202164 | − | 0.979352i | \(-0.564797\pi\) |
0.806868 | + | 0.590732i | \(0.201161\pi\) | |||||||
\(854\) | −1.98259e8 | + | 1.37892e9i | −0.0108925 | + | 0.0757593i | ||||
\(855\) | 2.03320e9 | − | 4.45209e9i | 0.111250 | − | 0.243603i | ||||
\(856\) | 2.76982e10 | − | 8.13292e9i | 1.50936 | − | 0.443189i | ||||
\(857\) | −5.79164e9 | − | 1.26819e10i | −0.314318 | − | 0.688260i | 0.684865 | − | 0.728670i | \(-0.259861\pi\) |
−0.999183 | + | 0.0404096i | \(0.987134\pi\) | |||||||
\(858\) | −1.55268e8 | − | 1.79188e8i | −0.00839219 | − | 0.00968511i | ||||
\(859\) | −3.24217e9 | − | 2.25498e10i | −0.174526 | − | 1.21386i | −0.869174 | − | 0.494506i | \(-0.835349\pi\) |
0.694648 | − | 0.719350i | \(-0.255560\pi\) | |||||||
\(860\) | 1.53960e9 | + | 4.52069e8i | 0.0825400 | + | 0.0242359i | ||||
\(861\) | −2.56562e9 | + | 2.96088e9i | −0.136988 | + | 0.158092i | ||||
\(862\) | −1.21923e10 | − | 7.83550e9i | −0.648350 | − | 0.416669i | ||||
\(863\) | 2.75327e10 | + | 1.76942e10i | 1.45818 | + | 0.937116i | 0.998805 | + | 0.0488748i | \(0.0155635\pi\) |
0.459377 | + | 0.888242i | \(0.348073\pi\) | |||||||
\(864\) | −2.47602e9 | + | 2.85748e9i | −0.130604 | + | 0.150725i | ||||
\(865\) | 6.29377e9 | + | 1.84802e9i | 0.330639 | + | 0.0970844i | ||||
\(866\) | 3.89495e8 | + | 2.70899e9i | 0.0203793 | + | 0.141741i | ||||
\(867\) | 7.12202e9 | + | 8.21925e9i | 0.371139 | + | 0.428317i | ||||
\(868\) | 2.21815e9 | + | 4.85708e9i | 0.115126 | + | 0.252090i | ||||
\(869\) | 5.19130e9 | − | 1.52430e9i | 0.268353 | − | 0.0787956i | ||||
\(870\) | −1.60163e9 | + | 3.50707e9i | −0.0824600 | + | 0.180562i | ||||
\(871\) | −3.94143e8 | + | 2.74132e9i | −0.0202111 | + | 0.140571i | ||||
\(872\) | 7.06314e9 | − | 4.53921e9i | 0.360737 | − | 0.231831i | ||||
\(873\) | 9.87293e9 | 0.502222 | ||||||||
\(874\) | −1.48112e10 | − | 8.05728e9i | −0.750411 | − | 0.408224i | ||||
\(875\) | −1.14867e10 | −0.579651 | ||||||||
\(876\) | 3.83736e9 | − | 2.46612e9i | 0.192872 | − | 0.123951i | ||||
\(877\) | 5.53690e9 | − | 3.85100e10i | 0.277184 | − | 1.92786i | −0.0863300 | − | 0.996267i | \(-0.527514\pi\) |
0.363514 | − | 0.931589i | \(-0.381577\pi\) | |||||||
\(878\) | 7.92124e8 | − | 1.73451e9i | 0.0394968 | − | 0.0864860i | ||||
\(879\) | 1.04715e10 | − | 3.07470e9i | 0.520051 | − | 0.152701i | ||||
\(880\) | −1.58419e8 | − | 3.46889e8i | −0.00783643 | − | 0.0171594i | ||||
\(881\) | −1.91617e9 | − | 2.21138e9i | −0.0944100 | − | 0.108955i | 0.706579 | − | 0.707635i | \(-0.250238\pi\) |
−0.800989 | + | 0.598680i | \(0.795692\pi\) | |||||||
\(882\) | 2.86431e8 | + | 1.99217e9i | 0.0140566 | + | 0.0977656i | ||||
\(883\) | 2.95755e10 | + | 8.68414e9i | 1.44567 | + | 0.424487i | 0.908107 | − | 0.418737i | \(-0.137527\pi\) |
0.537562 | + | 0.843224i | \(0.319345\pi\) | |||||||
\(884\) | 3.42873e8 | − | 3.95696e8i | 0.0166936 | − | 0.0192654i | ||||
\(885\) | −2.72289e9 | − | 1.74990e9i | −0.132047 | − | 0.0848616i | ||||
\(886\) | 1.12940e10 | + | 7.25823e9i | 0.545545 | + | 0.350601i | ||||
\(887\) | −1.71756e10 | + | 1.98218e10i | −0.826381 | + | 0.953695i | −0.999513 | − | 0.0312038i | \(-0.990066\pi\) |
0.173132 | + | 0.984899i | \(0.444611\pi\) | |||||||
\(888\) | 7.09372e9 | + | 2.08290e9i | 0.339961 | + | 0.0998215i | ||||
\(889\) | 3.49183e9 | + | 2.42862e10i | 0.166685 | + | 1.15932i | ||||
\(890\) | −3.49783e8 | − | 4.03671e8i | −0.0166316 | − | 0.0191939i | ||||
\(891\) | −1.56075e8 | − | 3.41756e8i | −0.00739198 | − | 0.0161862i | ||||
\(892\) | 1.54585e10 | − | 4.53903e9i | 0.729274 | − | 0.214134i | ||||
\(893\) | −1.54653e10 | + | 3.38642e10i | −0.726738 | + | 1.59133i | ||||
\(894\) | −7.31851e8 | + | 5.09013e9i | −0.0342564 | + | 0.238258i | ||||
\(895\) | 6.99996e9 | − | 4.49860e9i | 0.326374 | − | 0.209748i | ||||
\(896\) | −1.24453e10 | −0.578001 | ||||||||
\(897\) | 3.25528e9 | − | 2.37970e8i | 0.150596 | − | 0.0110090i | ||||
\(898\) | 1.08250e10 | 0.498838 | ||||||||
\(899\) | 1.38455e10 | − | 8.89797e9i | 0.635551 | − | 0.408444i | ||||
\(900\) | −5.60769e8 | + | 3.90023e9i | −0.0256410 | + | 0.178337i | ||||
\(901\) | 2.36571e8 | − | 5.18017e8i | 0.0107752 | − | 0.0235943i | ||||
\(902\) | 9.79399e8 | − | 2.87577e8i | 0.0444362 | − | 0.0130476i | ||||
\(903\) | 8.45670e8 | + | 1.85176e9i | 0.0382203 | + | 0.0836908i | ||||
\(904\) | 7.56717e9 | + | 8.73298e9i | 0.340678 | + | 0.393163i | ||||
\(905\) | 2.48857e8 | + | 1.73084e9i | 0.0111604 | + | 0.0776224i | ||||
\(906\) | −4.57945e8 | − | 1.34465e8i | −0.0204581 | − | 0.00600703i | ||||
\(907\) | 1.75106e10 | − | 2.02083e10i | 0.779246 | − | 0.899297i | −0.217809 | − | 0.975991i | \(-0.569891\pi\) |
0.997055 | + | 0.0766941i | \(0.0244365\pi\) | |||||||
\(908\) | 1.29766e10 | + | 8.33953e9i | 0.575254 | + | 0.369693i | ||||
\(909\) | 9.65114e8 | + | 6.20241e8i | 0.0426192 | + | 0.0273897i | ||||
\(910\) | 6.82799e8 | − | 7.87992e8i | 0.0300364 | − | 0.0346639i | ||||
\(911\) | 1.35755e10 | + | 3.98613e9i | 0.594897 | + | 0.174678i | 0.565301 | − | 0.824884i | \(-0.308760\pi\) |
0.0295957 | + | 0.999562i | \(0.490578\pi\) | |||||||
\(912\) | −7.17072e8 | − | 4.98735e9i | −0.0313026 | − | 0.217715i | ||||
\(913\) | −3.89244e9 | − | 4.49212e9i | −0.169268 | − | 0.195346i | ||||
\(914\) | 5.96379e9 | + | 1.30589e10i | 0.258351 | + | 0.565710i | ||||
\(915\) | −1.39165e9 | + | 4.08624e8i | −0.0600558 | + | 0.0176340i | ||||
\(916\) | −7.52912e9 | + | 1.64865e10i | −0.323676 | + | 0.708751i | ||||
\(917\) | −1.16428e9 | + | 8.09775e9i | −0.0498614 | + | 0.346794i | ||||
\(918\) | −2.72568e8 | + | 1.75169e8i | −0.0116285 | + | 0.00747321i | ||||
\(919\) | −8.71107e9 | −0.370226 | −0.185113 | − | 0.982717i | \(-0.559265\pi\) | ||||
−0.185113 | + | 0.982717i | \(0.559265\pi\) | |||||||
\(920\) | −1.04832e10 | − | 2.26322e9i | −0.443851 | − | 0.0958228i | ||||
\(921\) | −2.34813e10 | −0.990407 | ||||||||
\(922\) | 6.88960e7 | − | 4.42768e7i | 0.00289492 | − | 0.00186045i | ||||
\(923\) | 3.43665e8 | − | 2.39025e9i | 0.0143857 | − | 0.100054i | ||||
\(924\) | 4.39815e8 | − | 9.63060e8i | 0.0183408 | − | 0.0401607i | ||||
\(925\) | 1.16929e10 | − | 3.43333e9i | 0.485763 | − | 0.142633i | ||||
\(926\) | −4.35584e9 | − | 9.53795e9i | −0.180274 | − | 0.394745i | ||||
\(927\) | −8.72277e8 | − | 1.00666e9i | −0.0359646 | − | 0.0415054i | ||||
\(928\) | 4.67375e9 | + | 3.25067e10i | 0.191976 | + | 1.33523i | ||||
\(929\) | −4.30232e10 | − | 1.26327e10i | −1.76055 | − | 0.516943i | −0.768177 | − | 0.640238i | \(-0.778836\pi\) |
−0.992370 | + | 0.123295i | \(0.960654\pi\) | |||||||
\(930\) | 1.42170e9 | − | 1.64073e9i | 0.0579586 | − | 0.0668878i | ||||
\(931\) | −1.86692e10 | − | 1.19980e10i | −0.758231 | − | 0.487285i | ||||
\(932\) | 1.47875e10 | + | 9.50334e9i | 0.598327 | + | 0.384521i | ||||
\(933\) | −1.59428e10 | + | 1.83989e10i | −0.642655 | + | 0.741663i | ||||
\(934\) | 1.92570e10 | + | 5.65438e9i | 0.773349 | + | 0.227076i | ||||
\(935\) | −3.84804e7 | − | 2.67637e8i | −0.00153957 | − | 0.0107079i | ||||
\(936\) | −1.30489e9 | − | 1.50592e9i | −0.0520126 | − | 0.0600257i | ||||
\(937\) | −3.08391e9 | − | 6.75283e9i | −0.122465 | − | 0.268162i | 0.838463 | − | 0.544958i | \(-0.183455\pi\) |
−0.960929 | + | 0.276796i | \(0.910727\pi\) | |||||||
\(938\) | 4.63389e9 | − | 1.36063e9i | 0.183331 | − | 0.0538308i | ||||
\(939\) | −4.21713e9 | + | 9.23423e9i | −0.166222 | + | 0.363975i | ||||
\(940\) | −1.40974e9 | + | 9.80495e9i | −0.0553594 | + | 0.385033i | ||||
\(941\) | −2.43826e10 | + | 1.56697e10i | −0.953929 | + | 0.613053i | −0.922311 | − | 0.386447i | \(-0.873702\pi\) |
−0.0316171 | + | 0.999500i | \(0.510066\pi\) | |||||||
\(942\) | −5.48822e9 | −0.213921 | ||||||||
\(943\) | −4.88987e9 | + | 1.31735e10i | −0.189892 | + | 0.511576i | ||||
\(944\) | −3.33210e9 | −0.128919 | ||||||||
\(945\) | 1.38992e9 | − | 8.93247e8i | 0.0535770 | − | 0.0344318i | ||||
\(946\) | 7.54821e7 | − | 5.24989e8i | 0.00289884 | − | 0.0201619i | ||||
\(947\) | −1.63052e10 | + | 3.57034e10i | −0.623880 | + | 1.36611i | 0.288784 | + | 0.957394i | \(0.406749\pi\) |
−0.912664 | + | 0.408712i | \(0.865978\pi\) | |||||||
\(948\) | 1.82506e10 | − | 5.35885e9i | 0.695740 | − | 0.204288i | ||||
\(949\) | 1.57952e9 | + | 3.45867e9i | 0.0599922 | + | 0.131364i | ||||
\(950\) | 1.11111e10 | + | 1.28229e10i | 0.420459 | + | 0.485236i | ||||
\(951\) | −6.69131e8 | − | 4.65391e9i | −0.0252278 | − | 0.175463i | ||||
\(952\) | −2.09420e9 | − | 6.14914e8i | −0.0786665 | − | 0.0230986i | ||||
\(953\) | 7.17072e9 | − | 8.27546e9i | 0.268372 | − | 0.309718i | −0.605527 | − | 0.795825i | \(-0.707038\pi\) |
0.873900 | + | 0.486106i | \(0.161583\pi\) | |||||||
\(954\) | −7.62700e8 | − | 4.90158e8i | −0.0284403 | − | 0.0182775i | ||||
\(955\) | 6.52194e9 | + | 4.19140e9i | 0.242306 | + | 0.155721i | ||||
\(956\) | −1.02253e10 | + | 1.18007e10i | −0.378508 | + | 0.436822i | ||||
\(957\) | −3.13114e9 | − | 9.19385e8i | −0.115481 | − | 0.0339083i | ||||
\(958\) | 3.34928e9 | + | 2.32948e10i | 0.123076 | + | 0.856011i | ||||
\(959\) | 4.67716e9 | + | 5.39773e9i | 0.171245 | + | 0.197627i | ||||
\(960\) | 1.02516e9 | + | 2.24479e9i | 0.0373975 | + | 0.0818890i | ||||
\(961\) | 1.75061e10 | − | 5.14024e9i | 0.636292 | − | 0.186832i | ||||
\(962\) | −1.07093e9 | + | 2.34500e9i | −0.0387835 | + | 0.0849240i | ||||
\(963\) | −2.26999e9 | + | 1.57881e10i | −0.0819091 | + | 0.569690i | ||||
\(964\) | 9.17995e9 | − | 5.89959e9i | 0.330043 | − | 0.212106i | ||||
\(965\) | −2.05180e10 | −0.735005 | ||||||||
\(966\) | −2.73562e9 | − | 4.99123e9i | −0.0976418 | − | 0.178151i | ||||
\(967\) | −4.81443e10 | −1.71219 | −0.856095 | − | 0.516818i | \(-0.827116\pi\) | ||||
−0.856095 | + | 0.516818i | \(0.827116\pi\) | |||||||
\(968\) | 2.10744e10 | − | 1.35437e10i | 0.746778 | − | 0.479925i | ||||
\(969\) | 5.08425e8 | − | 3.53617e9i | 0.0179512 | − | 0.124853i | ||||
\(970\) | 4.69910e9 | − | 1.02896e10i | 0.165316 | − | 0.361991i | ||||
\(971\) | 2.36828e10 | − | 6.95389e9i | 0.830167 | − | 0.243759i | 0.161078 | − | 0.986942i | \(-0.448503\pi\) |
0.669089 | + | 0.743183i | \(0.266685\pi\) | |||||||
\(972\) | −5.48698e8 | − | 1.20148e9i | −0.0191647 | − | 0.0419648i | ||||
\(973\) | 2.13092e10 | + | 2.45921e10i | 0.741603 | + | 0.855855i | ||||
\(974\) | 2.13311e9 | + | 1.48361e10i | 0.0739701 | + | 0.514473i | ||||
\(975\) | −3.15147e9 | − | 9.25355e8i | −0.108892 | − | 0.0319736i | ||||
\(976\) | −9.77800e8 | + | 1.12844e9i | −0.0336648 | + | 0.0388512i | ||||
\(977\) | 6.67651e9 | + | 4.29074e9i | 0.229044 | + | 0.147198i | 0.650130 | − | 0.759823i | \(-0.274715\pi\) |
−0.421086 | + | 0.907021i | \(0.638351\pi\) | |||||||
\(978\) | −4.80065e8 | − | 3.08519e8i | −0.0164102 | − | 0.0105462i | ||||
\(979\) | 2.96060e8 | − | 3.41672e8i | 0.0100842 | − | 0.0116378i | ||||
\(980\) | −5.66569e9 | − | 1.66360e9i | −0.192292 | − | 0.0564621i | ||||
\(981\) | 6.60215e8 | + | 4.59190e9i | 0.0223277 | + | 0.155293i | ||||
\(982\) | 1.32987e10 | + | 1.53475e10i | 0.448145 | + | 0.517187i | ||||
\(983\) | −5.13164e9 | − | 1.12367e10i | −0.172313 | − | 0.377314i | 0.803697 | − | 0.595039i | \(-0.202863\pi\) |
−0.976010 | + | 0.217726i | \(0.930136\pi\) | |||||||
\(984\) | 8.23100e9 | − | 2.41684e9i | 0.275404 | − | 0.0808658i | ||||
\(985\) | 3.61400e9 | − | 7.91356e9i | 0.120493 | − | 0.263843i | ||||
\(986\) | −4.00504e8 | + | 2.78557e9i | −0.0133057 | + | 0.0925433i | ||||
\(987\) | −1.05722e10 | + | 6.79437e9i | −0.349991 | + | 0.224926i | ||||
\(988\) | 9.19097e9 | 0.303188 | ||||||||
\(989\) | 5.17099e9 | + | 5.15475e9i | 0.169976 | + | 0.169442i | ||||
\(990\) | −4.30465e8 | −0.0140998 | ||||||||
\(991\) | 2.67322e10 | − | 1.71798e10i | 0.872524 | − | 0.560737i | −0.0259999 | − | 0.999662i | \(-0.508277\pi\) |
0.898524 | + | 0.438925i | \(0.144641\pi\) | |||||||
\(992\) | 2.63176e9 | − | 1.83043e10i | 0.0855964 | − | 0.595336i | ||||
\(993\) | 2.71912e8 | − | 5.95405e8i | 0.00881265 | − | 0.0192970i | ||||
\(994\) | −4.04043e9 | + | 1.18638e9i | −0.130489 | + | 0.0383152i | ||||
\(995\) | −9.20327e8 | − | 2.01523e9i | −0.0296184 | − | 0.0648552i | ||||
\(996\) | −1.36843e10 | − | 1.57925e10i | −0.438849 | − | 0.506459i | ||||
\(997\) | 2.35252e9 | + | 1.63621e10i | 0.0751796 | + | 0.522886i | 0.992259 | + | 0.124182i | \(0.0396307\pi\) |
−0.917080 | + | 0.398704i | \(0.869460\pi\) | |||||||
\(998\) | 6.51589e9 | + | 1.91324e9i | 0.207499 | + | 0.0609273i | ||||
\(999\) | −2.67513e9 | + | 3.08727e9i | −0.0848919 | + | 0.0979704i |
(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 | 69.8.e.a.58.9 | yes | 140 | |
23.2 | even | 11 | inner | 69.8.e.a.25.9 | ✓ | 140 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
69.8.e.a.25.9 | ✓ | 140 | 23.2 | even | 11 | inner | |
69.8.e.a.58.9 | yes | 140 | 1.1 | even | 1 | trivial |