Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [69,8,Mod(5,69)]
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([11, 1]))
N = Newforms(chi, 8, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("69.5");
S:= CuspForms(chi, 8);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 69 = 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 8 \) |
Character orbit: | \([\chi]\) | \(=\) | 69.g (of order \(22\), 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: | \(540\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 5.17 | ||
Character | \(\chi\) | \(=\) | 69.5 |
Dual form | 69.8.g.a.14.17 |
$q$-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 \(\left(\mathbb{Z}/69\mathbb{Z}\right)^\times\).
\(n\) | \(28\) | \(47\) |
\(\chi(n)\) | \(e\left(\frac{1}{22}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.84941 | + | 9.70420i | −0.251855 | + | 0.857738i | 0.732384 | + | 0.680892i | \(0.238408\pi\) |
−0.984239 | + | 0.176846i | \(0.943410\pi\) | |||||||
\(3\) | −46.0191 | + | 8.32112i | −0.984043 | + | 0.177933i | ||||
\(4\) | 21.6281 | + | 13.8995i | 0.168970 | + | 0.108590i | ||||
\(5\) | 66.9720 | − | 465.800i | 0.239606 | − | 1.66650i | −0.414465 | − | 0.910065i | \(-0.636031\pi\) |
0.654071 | − | 0.756433i | \(-0.273060\pi\) | |||||||
\(6\) | 50.3775 | − | 470.289i | 0.0952154 | − | 0.888864i | ||||
\(7\) | 593.781 | − | 271.171i | 0.654309 | − | 0.298813i | −0.0604628 | − | 0.998170i | \(-0.519258\pi\) |
0.714772 | + | 0.699357i | \(0.246530\pi\) | |||||||
\(8\) | −1174.89 | + | 1018.05i | −0.811300 | + | 0.702995i | ||||
\(9\) | 2048.52 | − | 765.861i | 0.936679 | − | 0.350188i | ||||
\(10\) | 4329.39 | + | 1977.17i | 1.36907 | + | 0.625235i | ||||
\(11\) | −3274.13 | + | 961.372i | −0.741689 | + | 0.217780i | −0.630683 | − | 0.776040i | \(-0.717225\pi\) |
−0.111006 | + | 0.993820i | \(0.535407\pi\) | |||||||
\(12\) | −1110.97 | − | 459.674i | −0.185595 | − | 0.0767920i | ||||
\(13\) | −3952.02 | + | 8653.71i | −0.498904 | + | 1.09245i | 0.477920 | + | 0.878403i | \(0.341391\pi\) |
−0.976824 | + | 0.214044i | \(0.931336\pi\) | |||||||
\(14\) | 939.569 | + | 6534.85i | 0.0915125 | + | 0.636484i | ||||
\(15\) | 793.990 | + | 21993.0i | 0.0607429 | + | 1.68254i | ||||
\(16\) | −5164.53 | − | 11308.8i | −0.315218 | − | 0.690232i | ||||
\(17\) | 7639.54 | − | 4909.64i | 0.377134 | − | 0.242370i | −0.338317 | − | 0.941032i | \(-0.609858\pi\) |
0.715451 | + | 0.698663i | \(0.246221\pi\) | |||||||
\(18\) | 1595.00 | + | 22061.5i | 0.0644626 | + | 0.891622i | ||||
\(19\) | −10375.1 | + | 16143.9i | −0.347019 | + | 0.539972i | −0.970262 | − | 0.242056i | \(-0.922178\pi\) |
0.623244 | + | 0.782028i | \(0.285815\pi\) | |||||||
\(20\) | 7922.89 | − | 9143.50i | 0.221451 | − | 0.255569i | ||||
\(21\) | −25068.8 | + | 17420.0i | −0.590699 | + | 0.410468i | ||||
\(22\) | − | 34512.2i | − | 0.691024i | ||||||
\(23\) | −9884.93 | − | 57507.5i | −0.169405 | − | 0.985547i | ||||
\(24\) | 45596.0 | − | 56625.9i | 0.673267 | − | 0.836134i | ||||
\(25\) | −137524. | − | 40380.8i | −1.76031 | − | 0.516874i | ||||
\(26\) | −72716.4 | − | 63009.1i | −0.811382 | − | 0.703067i | ||||
\(27\) | −87898.2 | + | 52290.2i | −0.859422 | + | 0.511266i | ||||
\(28\) | 16611.5 | + | 2388.37i | 0.143007 | + | 0.0205612i | ||||
\(29\) | 87904.4 | + | 136782.i | 0.669295 | + | 1.04144i | 0.995372 | + | 0.0961002i | \(0.0306369\pi\) |
−0.326077 | + | 0.945343i | \(0.605727\pi\) | |||||||
\(30\) | −215687. | − | 54962.1i | −1.45848 | − | 0.371654i | ||||
\(31\) | 26485.5 | + | 30565.9i | 0.159677 | + | 0.184277i | 0.829950 | − | 0.557837i | \(-0.188369\pi\) |
−0.670273 | + | 0.742114i | \(0.733823\pi\) | |||||||
\(32\) | −72504.9 | + | 10424.6i | −0.391149 | + | 0.0562388i | ||||
\(33\) | 142673. | − | 71486.0i | 0.691103 | − | 0.346276i | ||||
\(34\) | 25875.9 | + | 88125.2i | 0.112907 | + | 0.384524i | ||||
\(35\) | −86544.7 | − | 294744.i | −0.341195 | − | 1.16200i | ||||
\(36\) | 54950.7 | + | 11909.3i | 0.196297 | + | 0.0425430i | ||||
\(37\) | −453853. | + | 65254.3i | −1.47302 | + | 0.211789i | −0.831590 | − | 0.555390i | \(-0.812569\pi\) |
−0.641433 | + | 0.767179i | \(0.721660\pi\) | |||||||
\(38\) | −127101. | − | 146682.i | −0.375756 | − | 0.433646i | ||||
\(39\) | 109860. | − | 431121.i | 0.296560 | − | 1.16379i | ||||
\(40\) | 395522. | + | 615444.i | 0.977148 | + | 1.52047i | ||||
\(41\) | −717054. | − | 103097.i | −1.62483 | − | 0.233616i | −0.731118 | − | 0.682251i | \(-0.761001\pi\) |
−0.893715 | + | 0.448636i | \(0.851910\pi\) | |||||||
\(42\) | −97615.4 | − | 292910.i | −0.203304 | − | 0.610044i | ||||
\(43\) | 147874. | + | 128133.i | 0.283630 | + | 0.245767i | 0.785043 | − | 0.619441i | \(-0.212641\pi\) |
−0.501413 | + | 0.865208i | \(0.667186\pi\) | |||||||
\(44\) | −84175.9 | − | 24716.3i | −0.148972 | − | 0.0437420i | ||||
\(45\) | −219545. | − | 1.00549e6i | −0.359153 | − | 1.64488i | ||||
\(46\) | 586231. | + | 67937.1i | 0.888006 | + | 0.102909i | ||||
\(47\) | − | 321826.i | − | 0.452145i | −0.974110 | − | 0.226073i | \(-0.927411\pi\) | ||
0.974110 | − | 0.226073i | \(-0.0725887\pi\) | |||||||
\(48\) | 331769. | + | 477444.i | 0.433003 | + | 0.623129i | ||||
\(49\) | −260264. | + | 300360.i | −0.316029 | + | 0.364717i | ||||
\(50\) | 783727. | − | 1.21950e6i | 0.886686 | − | 1.37971i | ||||
\(51\) | −310711. | + | 289507.i | −0.327991 | + | 0.305607i | ||||
\(52\) | −205757. | + | 132232.i | −0.202929 | + | 0.130414i | ||||
\(53\) | 466403. | + | 1.02128e6i | 0.430324 | + | 0.942278i | 0.993274 | + | 0.115787i | \(0.0369391\pi\) |
−0.562950 | + | 0.826491i | \(0.690334\pi\) | |||||||
\(54\) | −256977. | − | 1.00198e6i | −0.222083 | − | 0.865924i | ||||
\(55\) | 228532. | + | 1.58948e6i | 0.185216 | + | 1.28821i | ||||
\(56\) | −421562. | + | 923091.i | −0.320777 | + | 0.702403i | ||||
\(57\) | 343116. | − | 829260.i | 0.245402 | − | 0.593101i | ||||
\(58\) | −1.57783e6 | + | 463294.i | −1.06185 | + | 0.311788i | ||||
\(59\) | −2.19588e6 | − | 1.00282e6i | −1.39196 | − | 0.635686i | −0.428500 | − | 0.903542i | \(-0.640958\pi\) |
−0.963459 | + | 0.267855i | \(0.913685\pi\) | |||||||
\(60\) | −288520. | + | 486703.i | −0.172443 | + | 0.290894i | ||||
\(61\) | −2.28567e6 | + | 1.98055e6i | −1.28932 | + | 1.11720i | −0.302885 | + | 0.953027i | \(0.597950\pi\) |
−0.986432 | + | 0.164172i | \(0.947505\pi\) | |||||||
\(62\) | −372086. | + | 169926.i | −0.198277 | + | 0.0905501i | ||||
\(63\) | 1.00869e6 | − | 1.01025e6i | 0.508237 | − | 0.509023i | ||||
\(64\) | 331903. | − | 2.30843e6i | 0.158264 | − | 1.10075i | ||||
\(65\) | 3.76623e6 | + | 2.42041e6i | 1.70102 | + | 1.09318i | ||||
\(66\) | 287180. | + | 1.58822e6i | 0.122956 | + | 0.679997i | ||||
\(67\) | 885932. | − | 3.01721e6i | 0.359864 | − | 1.22558i | −0.558385 | − | 0.829582i | \(-0.688579\pi\) |
0.918249 | − | 0.396003i | \(-0.129603\pi\) | |||||||
\(68\) | 233470. | 0.0900432 | ||||||||
\(69\) | 933423. | + | 2.56419e6i | 0.342063 | + | 0.939677i | ||||
\(70\) | 3.10686e6 | 1.08263 | ||||||||
\(71\) | −966834. | + | 3.29273e6i | −0.320588 | + | 1.09182i | 0.628760 | + | 0.777599i | \(0.283563\pi\) |
−0.949349 | + | 0.314224i | \(0.898256\pi\) | |||||||
\(72\) | −1.62710e6 | + | 2.98529e6i | −0.513747 | + | 0.942588i | ||||
\(73\) | −161431. | − | 103746.i | −0.0485689 | − | 0.0312133i | 0.516131 | − | 0.856510i | \(-0.327372\pi\) |
−0.564700 | + | 0.825296i | \(0.691008\pi\) | |||||||
\(74\) | 659974. | − | 4.59022e6i | 0.189328 | − | 1.31681i | ||||
\(75\) | 6.66477e6 | + | 713932.i | 1.82419 | + | 0.195408i | ||||
\(76\) | −448786. | + | 204953.i | −0.117271 | + | 0.0535559i | ||||
\(77\) | −1.68342e6 | + | 1.45869e6i | −0.420219 | + | 0.364122i | ||||
\(78\) | 3.87065e6 | + | 2.29454e6i | 0.923534 | + | 0.547476i | ||||
\(79\) | 6.18076e6 | + | 2.82266e6i | 1.41042 | + | 0.644115i | 0.967598 | − | 0.252497i | \(-0.0812517\pi\) |
0.442818 | + | 0.896612i | \(0.353979\pi\) | |||||||
\(80\) | −5.61350e6 | + | 1.64827e6i | −1.22580 | + | 0.359927i | ||||
\(81\) | 3.60988e6 | − | 3.13776e6i | 0.754737 | − | 0.656028i | ||||
\(82\) | 3.04365e6 | − | 6.66467e6i | 0.609603 | − | 1.33484i | ||||
\(83\) | −254768. | − | 1.77195e6i | −0.0489072 | − | 0.340157i | −0.999553 | − | 0.0298802i | \(-0.990487\pi\) |
0.950646 | − | 0.310277i | \(-0.100422\pi\) | |||||||
\(84\) | −784321. | + | 28315.5i | −0.144383 | + | 0.00521250i | ||||
\(85\) | −1.77528e6 | − | 3.88731e6i | −0.313545 | − | 0.686567i | ||||
\(86\) | −1.66479e6 | + | 1.06989e6i | −0.282237 | + | 0.181383i | ||||
\(87\) | −5.18346e6 | − | 5.56312e6i | −0.843922 | − | 0.905735i | ||||
\(88\) | 2.86802e6 | − | 4.46272e6i | 0.448634 | − | 0.698088i | ||||
\(89\) | −3.74860e6 | + | 4.32611e6i | −0.563643 | + | 0.650479i | −0.964007 | − | 0.265878i | \(-0.914338\pi\) |
0.400364 | + | 0.916356i | \(0.368884\pi\) | |||||||
\(90\) | 1.03831e7 | + | 734549.i | 1.50133 | + | 0.106212i | ||||
\(91\) | 6.21008e6i | 0.863877i | ||||||||
\(92\) | 585535. | − | 1.38117e6i | 0.0783963 | − | 0.184923i | ||||
\(93\) | −1.47318e6 | − | 1.18623e6i | −0.189918 | − | 0.152925i | ||||
\(94\) | 3.12306e6 | + | 917013.i | 0.387822 | + | 0.113875i | ||||
\(95\) | 6.82500e6 | + | 5.91390e6i | 0.816714 | + | 0.707687i | ||||
\(96\) | 3.24987e6 | − | 1.08305e6i | 0.374901 | − | 0.124940i | ||||
\(97\) | −4.12842e6 | − | 593578.i | −0.459286 | − | 0.0660354i | −0.0912113 | − | 0.995832i | \(-0.529074\pi\) |
−0.368075 | + | 0.929796i | \(0.619983\pi\) | |||||||
\(98\) | −2.17316e6 | − | 3.38150e6i | −0.233238 | − | 0.362926i | ||||
\(99\) | −5.97084e6 | + | 4.47692e6i | −0.618461 | + | 0.463720i | ||||
\(100\) | −2.41312e6 | − | 2.78489e6i | −0.241312 | − | 0.278489i | ||||
\(101\) | −1.20353e6 | + | 173042.i | −0.116234 | + | 0.0167119i | −0.200186 | − | 0.979758i | \(-0.564155\pi\) |
0.0839525 | + | 0.996470i | \(0.473246\pi\) | |||||||
\(102\) | −1.92409e6 | − | 3.84013e6i | −0.179525 | − | 0.358299i | ||||
\(103\) | 3.82794e6 | + | 1.30368e7i | 0.345171 | + | 1.17555i | 0.930972 | + | 0.365091i | \(0.118962\pi\) |
−0.585801 | + | 0.810455i | \(0.699220\pi\) | |||||||
\(104\) | −4.16670e6 | − | 1.41905e7i | −0.363224 | − | 1.23703i | ||||
\(105\) | 6.43532e6 | + | 1.28437e7i | 0.542509 | + | 1.08275i | ||||
\(106\) | −1.12397e7 | + | 1.61602e6i | −0.916607 | + | 0.131788i | ||||
\(107\) | −5.69455e6 | − | 6.57186e6i | −0.449383 | − | 0.518615i | 0.485180 | − | 0.874414i | \(-0.338754\pi\) |
−0.934562 | + | 0.355799i | \(0.884209\pi\) | |||||||
\(108\) | −2.62788e6 | − | 90805.5i | −0.200735 | − | 0.00693632i | ||||
\(109\) | −301272. | − | 468788.i | −0.0222826 | − | 0.0346724i | 0.829934 | − | 0.557862i | \(-0.188378\pi\) |
−0.852216 | + | 0.523190i | \(0.824742\pi\) | |||||||
\(110\) | −1.60758e7 | − | 2.31135e6i | −1.15159 | − | 0.165574i | ||||
\(111\) | 2.03429e7 | − | 6.77951e6i | 1.41183 | − | 0.470509i | ||||
\(112\) | −6.13321e6 | − | 5.31445e6i | −0.412500 | − | 0.357434i | ||||
\(113\) | −1.97115e7 | − | 5.78782e6i | −1.28512 | − | 0.377346i | −0.433336 | − | 0.901233i | \(-0.642664\pi\) |
−0.851788 | + | 0.523886i | \(0.824482\pi\) | |||||||
\(114\) | 7.06963e6 | + | 5.69256e6i | 0.446920 | + | 0.359866i | ||||
\(115\) | −2.74490e7 | + | 753012.i | −1.68300 | + | 0.0461700i | ||||
\(116\) | 4.18016e6i | 0.248651i | ||||||||
\(117\) | −1.46824e6 | + | 2.07540e7i | −0.0847511 | + | 1.19798i | ||||
\(118\) | 1.59886e7 | − | 1.84518e7i | 0.895824 | − | 1.03384i | ||||
\(119\) | 3.20487e6 | − | 4.98687e6i | 0.174339 | − | 0.271277i | ||||
\(120\) | −2.33227e7 | − | 2.50310e7i | −1.23210 | − | 1.32234i | ||||
\(121\) | −6.59794e6 | + | 4.24024e6i | −0.338579 | + | 0.217591i | ||||
\(122\) | −1.27068e7 | − | 2.78240e7i | −0.633544 | − | 1.38727i | ||||
\(123\) | 3.38561e7 | − | 1.22227e6i | 1.64047 | − | 0.0592242i | ||||
\(124\) | 147979. | + | 1.02922e6i | 0.00696988 | + | 0.0484766i | ||||
\(125\) | −1.27470e7 | + | 2.79121e7i | −0.583745 | + | 1.27822i | ||||
\(126\) | 6.92951e6 | + | 1.26672e7i | 0.308607 | + | 0.564135i | ||||
\(127\) | 3.50941e7 | − | 1.03046e7i | 1.52027 | − | 0.446392i | 0.588216 | − | 0.808704i | \(-0.299831\pi\) |
0.932057 | + | 0.362312i | \(0.118012\pi\) | |||||||
\(128\) | 1.29270e7 | + | 5.90357e6i | 0.544833 | + | 0.248817i | ||||
\(129\) | −7.87124e6 | − | 4.66611e6i | −0.322834 | − | 0.191378i | ||||
\(130\) | −3.42196e7 | + | 2.96515e7i | −1.36607 | + | 1.18371i | ||||
\(131\) | 3.66677e6 | − | 1.67456e6i | 0.142506 | − | 0.0650804i | −0.342885 | − | 0.939377i | \(-0.611404\pi\) |
0.485392 | + | 0.874297i | \(0.338677\pi\) | |||||||
\(132\) | 4.07937e6 | + | 436983.i | 0.154378 | + | 0.0165370i | ||||
\(133\) | −1.78276e6 | + | 1.23994e7i | −0.0657070 | + | 0.457002i | ||||
\(134\) | 2.67552e7 | + | 1.71945e7i | 0.960597 | + | 0.617338i | ||||
\(135\) | 1.84701e7 | + | 4.44450e7i | 0.646102 | + | 1.55473i | ||||
\(136\) | −3.97737e6 | + | 1.35457e7i | −0.135584 | + | 0.461758i | ||||
\(137\) | −3.78644e7 | −1.25808 | −0.629041 | − | 0.777372i | \(-0.716552\pi\) | ||||
−0.629041 | + | 0.777372i | \(0.716552\pi\) | |||||||
\(138\) | −2.75431e7 | + | 1.75169e6i | −0.892147 | + | 0.0567388i | ||||
\(139\) | −2.72874e7 | −0.861807 | −0.430903 | − | 0.902398i | \(-0.641805\pi\) | ||||
−0.430903 | + | 0.902398i | \(0.641805\pi\) | |||||||
\(140\) | 2.22501e6 | − | 7.57769e6i | 0.0685305 | − | 0.233394i | ||||
\(141\) | 2.67795e6 | + | 1.48101e7i | 0.0804518 | + | 0.444930i | ||||
\(142\) | −2.91984e7 | − | 1.87647e7i | −0.855757 | − | 0.549962i | ||||
\(143\) | 4.61999e6 | − | 3.21327e7i | 0.132119 | − | 0.918907i | ||||
\(144\) | −1.92406e7 | − | 1.92109e7i | −0.536969 | − | 0.536140i | ||||
\(145\) | 6.96002e7 | − | 3.17854e7i | 1.89593 | − | 0.865843i | ||||
\(146\) | 1.46675e6 | − | 1.27095e6i | 0.0390052 | − | 0.0337982i | ||||
\(147\) | 9.47777e6 | − | 1.59880e7i | 0.246091 | − | 0.415129i | ||||
\(148\) | −1.07230e7 | − | 4.89703e6i | −0.271894 | − | 0.124170i | ||||
\(149\) | −1.94417e6 | + | 570859.i | −0.0481484 | + | 0.0141377i | −0.305718 | − | 0.952122i | \(-0.598897\pi\) |
0.257570 | + | 0.966260i | \(0.417078\pi\) | |||||||
\(150\) | −2.59188e7 | + | 6.26419e7i | −0.627040 | + | 1.51546i | ||||
\(151\) | 2.08051e7 | − | 4.55569e7i | 0.491757 | − | 1.07680i | −0.487304 | − | 0.873232i | \(-0.662020\pi\) |
0.979061 | − | 0.203566i | \(-0.0652531\pi\) | |||||||
\(152\) | −4.24571e6 | − | 2.95295e7i | −0.0980613 | − | 0.682031i | ||||
\(153\) | 1.18896e7 | − | 1.59083e7i | 0.268379 | − | 0.359091i | ||||
\(154\) | −9.35869e6 | − | 2.04927e7i | −0.206487 | − | 0.452144i | ||||
\(155\) | 1.60114e7 | − | 1.02899e7i | 0.345357 | − | 0.221948i | ||||
\(156\) | 8.36844e6 | − | 7.79733e6i | 0.176485 | − | 0.164441i | ||||
\(157\) | 1.05997e7 | − | 1.64935e7i | 0.218598 | − | 0.340146i | −0.714584 | − | 0.699550i | \(-0.753384\pi\) |
0.933182 | + | 0.359404i | \(0.117020\pi\) | |||||||
\(158\) | −4.50032e7 | + | 5.19364e7i | −0.907702 | + | 1.04754i | ||||
\(159\) | −2.99616e7 | − | 4.31174e7i | −0.591120 | − | 0.850673i | ||||
\(160\) | 3.44710e7i | 0.665325i | ||||||||
\(161\) | −2.14638e7 | − | 3.14664e7i | −0.405338 | − | 0.594232i | ||||
\(162\) | 2.01634e7 | + | 4.39718e7i | 0.372616 | + | 0.812590i | ||||
\(163\) | 7.27838e7 | + | 2.13713e7i | 1.31637 | + | 0.386521i | 0.863182 | − | 0.504893i | \(-0.168468\pi\) |
0.453189 | + | 0.891414i | \(0.350286\pi\) | |||||||
\(164\) | −1.40755e7 | − | 1.21965e7i | −0.249179 | − | 0.215915i | ||||
\(165\) | −2.37431e7 | − | 7.12447e7i | −0.411475 | − | 1.23469i | ||||
\(166\) | 1.79213e7 | + | 2.57670e6i | 0.304083 | + | 0.0437205i | ||||
\(167\) | 6.35696e6 | + | 9.89163e6i | 0.105619 | + | 0.164346i | 0.890040 | − | 0.455882i | \(-0.150676\pi\) |
−0.784421 | + | 0.620229i | \(0.787040\pi\) | |||||||
\(168\) | 1.17187e7 | − | 4.59877e7i | 0.190677 | − | 0.748272i | ||||
\(169\) | −1.81767e7 | − | 2.09770e7i | −0.289675 | − | 0.334303i | ||||
\(170\) | 4.27817e7 | − | 6.15108e6i | 0.667863 | − | 0.0960241i | ||||
\(171\) | −8.88950e6 | + | 4.10169e7i | −0.135954 | + | 0.627302i | ||||
\(172\) | 1.41724e6 | + | 4.82666e6i | 0.0212370 | + | 0.0723265i | ||||
\(173\) | 2.93551e6 | + | 9.99742e6i | 0.0431044 | + | 0.146800i | 0.978234 | − | 0.207507i | \(-0.0665349\pi\) |
−0.935129 | + | 0.354307i | \(0.884717\pi\) | |||||||
\(174\) | 6.87554e7 | − | 3.44497e7i | 0.989429 | − | 0.495751i | ||||
\(175\) | −9.26095e7 | + | 1.33152e7i | −1.30624 | + | 0.187809i | ||||
\(176\) | 2.77813e7 | + | 3.20613e7i | 0.384112 | + | 0.443289i | ||||
\(177\) | 1.09397e8 | + | 2.78769e7i | 1.48286 | + | 0.377867i | ||||
\(178\) | −3.13002e7 | − | 4.87040e7i | −0.415984 | − | 0.647284i | ||||
\(179\) | 9.83728e6 | + | 1.41439e6i | 0.128200 | + | 0.0184324i | 0.206116 | − | 0.978528i | \(-0.433917\pi\) |
−0.0779159 | + | 0.996960i | \(0.524827\pi\) | |||||||
\(180\) | 9.22753e6 | − | 2.47985e7i | 0.117932 | − | 0.316935i | ||||
\(181\) | 1.09151e8 | + | 9.45802e7i | 1.36821 | + | 1.18556i | 0.962409 | + | 0.271605i | \(0.0875543\pi\) |
0.405805 | + | 0.913960i | \(0.366991\pi\) | |||||||
\(182\) | −6.02638e7 | − | 1.76951e7i | −0.740981 | − | 0.217572i | ||||
\(183\) | 8.87042e7 | − | 1.10162e8i | 1.06996 | − | 1.32878i | ||||
\(184\) | 7.01589e7 | + | 5.75015e7i | 0.830273 | + | 0.680483i | ||||
\(185\) | 2.15775e8i | 2.50554i | ||||||||
\(186\) | 1.57091e7 | − | 1.09160e7i | 0.179001 | − | 0.124385i | ||||
\(187\) | −2.02929e7 | + | 2.34192e7i | −0.226933 | + | 0.261895i | ||||
\(188\) | 4.47323e6 | − | 6.96048e6i | 0.0490985 | − | 0.0763988i | ||||
\(189\) | −3.80127e7 | + | 5.48843e7i | −0.409555 | + | 0.591333i | ||||
\(190\) | −7.68368e7 | + | 4.93800e7i | −0.812703 | + | 0.522293i | ||||
\(191\) | 2.59446e7 | + | 5.68108e7i | 0.269420 | + | 0.589948i | 0.995187 | − | 0.0979926i | \(-0.0312421\pi\) |
−0.725767 | + | 0.687941i | \(0.758515\pi\) | |||||||
\(192\) | 3.93489e6 | + | 1.08994e8i | 0.0401216 | + | 1.11134i | ||||
\(193\) | −5.75292e6 | − | 4.00125e7i | −0.0576021 | − | 0.400631i | −0.998141 | − | 0.0609455i | \(-0.980588\pi\) |
0.940539 | − | 0.339686i | \(-0.110321\pi\) | |||||||
\(194\) | 1.75238e7 | − | 3.83717e7i | 0.172314 | − | 0.377316i | ||||
\(195\) | −1.93459e8 | − | 8.00457e7i | −1.86839 | − | 0.773067i | ||||
\(196\) | −9.80387e6 | + | 2.87868e6i | −0.0930040 | + | 0.0273084i | ||||
\(197\) | 1.40763e8 | + | 6.42845e7i | 1.31177 | + | 0.599066i | 0.943722 | − | 0.330740i | \(-0.107298\pi\) |
0.368050 | + | 0.929806i | \(0.380026\pi\) | |||||||
\(198\) | −2.64315e7 | − | 7.06988e7i | −0.241988 | − | 0.647268i | ||||
\(199\) | 4.14963e7 | − | 3.59567e7i | 0.373270 | − | 0.323440i | −0.447943 | − | 0.894062i | \(-0.647843\pi\) |
0.821213 | + | 0.570622i | \(0.193298\pi\) | |||||||
\(200\) | 2.02685e8 | − | 9.25632e7i | 1.79150 | − | 0.818151i | ||||
\(201\) | −1.56633e7 | + | 1.46221e8i | −0.136049 | + | 1.27006i | ||||
\(202\) | 1.75012e6 | − | 1.21724e7i | 0.0149396 | − | 0.103907i | ||||
\(203\) | 8.92872e7 | + | 5.73814e7i | 0.749123 | + | 0.481432i | ||||
\(204\) | −1.07441e7 | + | 1.94274e6i | −0.0886063 | + | 0.0160217i | ||||
\(205\) | −9.60451e7 | + | 3.27100e8i | −0.778640 | + | 2.65180i | ||||
\(206\) | −1.37419e8 | −1.09524 | ||||||||
\(207\) | −6.42922e7 | − | 1.10235e8i | −0.503805 | − | 0.863818i | ||||
\(208\) | 1.18273e8 | 0.911305 | ||||||||
\(209\) | 1.84490e7 | − | 6.28316e7i | 0.139785 | − | 0.476065i | ||||
\(210\) | −1.42975e8 | + | 2.58526e7i | −1.06535 | + | 0.192635i | ||||
\(211\) | 2.94065e7 | + | 1.88984e7i | 0.215504 | + | 0.138496i | 0.643940 | − | 0.765076i | \(-0.277299\pi\) |
−0.428436 | + | 0.903572i | \(0.640935\pi\) | |||||||
\(212\) | −4.10791e6 | + | 2.85711e7i | −0.0296105 | + | 0.205945i | ||||
\(213\) | 1.70936e7 | − | 1.59574e8i | 0.121201 | − | 1.13144i | ||||
\(214\) | 8.00008e7 | − | 3.65351e7i | 0.558015 | − | 0.254837i | ||||
\(215\) | 6.95880e7 | − | 6.02984e7i | 0.477529 | − | 0.413781i | ||||
\(216\) | 5.00366e7 | − | 1.50919e8i | 0.337831 | − | 1.01896i | ||||
\(217\) | 2.40152e7 | + | 1.09674e7i | 0.159543 | + | 0.0728607i | ||||
\(218\) | 5.40766e6 | − | 1.58783e6i | 0.0353518 | − | 0.0103802i | ||||
\(219\) | 8.29222e6 | + | 3.43100e6i | 0.0533478 | + | 0.0220732i | ||||
\(220\) | −1.71503e7 | + | 3.75539e7i | −0.108591 | + | 0.237780i | ||||
\(221\) | 1.22950e7 | + | 8.55133e7i | 0.0766221 | + | 0.532918i | ||||
\(222\) | 7.82435e6 | + | 2.16730e8i | 0.0479969 | + | 1.32948i | ||||
\(223\) | −7.55418e7 | − | 1.65413e8i | −0.456163 | − | 0.998858i | −0.988345 | − | 0.152228i | \(-0.951355\pi\) |
0.532182 | − | 0.846630i | \(-0.321372\pi\) | |||||||
\(224\) | −4.02252e7 | + | 2.58512e7i | −0.239128 | + | 0.153678i | ||||
\(225\) | −3.12647e8 | + | 2.26038e7i | −1.82985 | + | 0.132295i | ||||
\(226\) | 1.12332e8 | − | 1.74792e8i | 0.647329 | − | 1.00726i | ||||
\(227\) | 1.69684e7 | − | 1.95826e7i | 0.0962833 | − | 0.111117i | −0.705563 | − | 0.708647i | \(-0.749306\pi\) |
0.801846 | + | 0.597530i | \(0.203851\pi\) | |||||||
\(228\) | 1.89473e7 | − | 1.31662e7i | 0.105870 | − | 0.0735678i | ||||
\(229\) | 6.98362e6i | 0.0384288i | 0.999815 | + | 0.0192144i | \(0.00611650\pi\) | ||||
−0.999815 | + | 0.0192144i | \(0.993883\pi\) | |||||||
\(230\) | 7.09062e7 | − | 2.68517e8i | 0.384270 | − | 1.45520i | ||||
\(231\) | 6.53316e7 | − | 8.11358e7i | 0.348724 | − | 0.433082i | ||||
\(232\) | −2.42528e8 | − | 7.12127e7i | −1.27513 | − | 0.374412i | ||||
\(233\) | −1.13179e8 | − | 9.80697e7i | −0.586163 | − | 0.507913i | 0.310532 | − | 0.950563i | \(-0.399493\pi\) |
−0.896694 | + | 0.442650i | \(0.854038\pi\) | |||||||
\(234\) | −1.97217e8 | − | 7.33846e7i | −1.00621 | − | 0.374412i | ||||
\(235\) | −1.49907e8 | − | 2.15533e7i | −0.753500 | − | 0.108337i | ||||
\(236\) | −3.35539e7 | − | 5.22109e7i | −0.166169 | − | 0.258565i | ||||
\(237\) | −3.07921e8 | − | 7.84654e7i | −1.50252 | − | 0.382877i | ||||
\(238\) | 3.92616e7 | + | 4.53103e7i | 0.188777 | + | 0.217860i | ||||
\(239\) | 8.44144e7 | − | 1.21370e7i | 0.399967 | − | 0.0575065i | 0.0606034 | − | 0.998162i | \(-0.480697\pi\) |
0.339363 | + | 0.940655i | \(0.389788\pi\) | |||||||
\(240\) | 2.44613e8 | − | 1.22563e8i | 1.14219 | − | 0.572294i | ||||
\(241\) | −1.31328e7 | − | 4.47263e7i | −0.0604363 | − | 0.205827i | 0.923740 | − | 0.383021i | \(-0.125116\pi\) |
−0.984176 | + | 0.177194i | \(0.943298\pi\) | |||||||
\(242\) | −2.23479e7 | − | 7.61099e7i | −0.101364 | − | 0.345213i | ||||
\(243\) | −1.40014e8 | + | 1.74435e8i | −0.625964 | + | 0.779852i | ||||
\(244\) | −7.69634e7 | + | 1.10657e7i | −0.339172 | + | 0.0487656i | ||||
\(245\) | 1.22478e8 | + | 1.41347e8i | 0.532078 | + | 0.614051i | ||||
\(246\) | −8.46087e7 | + | 3.32029e8i | −0.362362 | + | 1.42201i | ||||
\(247\) | −9.87022e7 | − | 1.53584e8i | −0.416761 | − | 0.648494i | ||||
\(248\) | −6.22350e7 | − | 8.94804e6i | −0.259092 | − | 0.0372518i | ||||
\(249\) | 2.64689e7 | + | 7.94238e7i | 0.108652 | + | 0.326026i | ||||
\(250\) | −2.34543e8 | − | 2.03232e8i | −0.949362 | − | 0.822627i | ||||
\(251\) | −2.89974e8 | − | 8.51440e7i | −1.15745 | − | 0.339857i | −0.354006 | − | 0.935243i | \(-0.615181\pi\) |
−0.803440 | + | 0.595386i | \(0.796999\pi\) | |||||||
\(252\) | 3.58581e7 | − | 7.82948e6i | 0.141152 | − | 0.0308199i | ||||
\(253\) | 8.76507e7 | + | 1.78784e8i | 0.340278 | + | 0.694076i | ||||
\(254\) | 3.69922e8i | 1.41642i | ||||||||
\(255\) | 1.14043e8 | + | 1.64118e8i | 0.430705 | + | 0.619821i | ||||
\(256\) | 1.01364e8 | − | 1.16980e8i | 0.377610 | − | 0.435786i | ||||
\(257\) | 2.49165e8 | − | 3.87708e8i | 0.915633 | − | 1.42475i | 0.0103481 | − | 0.999946i | \(-0.496706\pi\) |
0.905285 | − | 0.424806i | \(-0.139658\pi\) | |||||||
\(258\) | 6.77093e7 | − | 6.30884e7i | 0.245459 | − | 0.228708i | ||||
\(259\) | −2.51794e8 | + | 1.61818e8i | −0.900528 | + | 0.578734i | ||||
\(260\) | 4.78138e7 | + | 1.04698e8i | 0.168712 | + | 0.369428i | ||||
\(261\) | 2.84830e8 | + | 2.12878e8i | 0.991616 | + | 0.741120i | ||||
\(262\) | 5.80211e6 | + | 4.03546e7i | 0.0199311 | + | 0.138624i | ||||
\(263\) | −3.45085e7 | + | 7.55632e7i | −0.116972 | + | 0.256133i | −0.959058 | − | 0.283211i | \(-0.908600\pi\) |
0.842086 | + | 0.539344i | \(0.181328\pi\) | |||||||
\(264\) | −9.48487e7 | + | 2.29236e8i | −0.317262 | + | 0.766776i | ||||
\(265\) | 5.06948e8 | − | 1.48853e8i | 1.67341 | − | 0.491358i | ||||
\(266\) | −1.15246e8 | − | 5.26311e7i | −0.375440 | − | 0.171458i | ||||
\(267\) | 1.36509e8 | − | 2.30277e8i | 0.438907 | − | 0.740389i | ||||
\(268\) | 6.10988e7 | − | 5.29424e7i | 0.193892 | − | 0.168009i | ||||
\(269\) | −3.54844e7 | + | 1.62052e7i | −0.111149 | + | 0.0507600i | −0.470213 | − | 0.882553i | \(-0.655823\pi\) |
0.359065 | + | 0.933313i | \(0.383096\pi\) | |||||||
\(270\) | −4.83932e8 | + | 5.25955e7i | −1.49627 | + | 0.162620i | ||||
\(271\) | 5.09264e7 | − | 3.54201e8i | 0.155436 | − | 1.08108i | −0.751477 | − | 0.659760i | \(-0.770658\pi\) |
0.906912 | − | 0.421319i | \(-0.138433\pi\) | |||||||
\(272\) | −9.49765e7 | − | 6.10377e7i | −0.286171 | − | 0.183911i | ||||
\(273\) | −5.16748e7 | − | 2.85782e8i | −0.153713 | − | 0.850092i | ||||
\(274\) | 1.07891e8 | − | 3.67444e8i | 0.316854 | − | 1.07910i | ||||
\(275\) | 4.89094e8 | 1.41817 | ||||||||
\(276\) | −1.54529e7 | + | 6.84327e7i | −0.0442413 | + | 0.195921i | ||||
\(277\) | −3.14460e7 | −0.0888969 | −0.0444485 | − | 0.999012i | \(-0.514153\pi\) | ||||
−0.0444485 | + | 0.999012i | \(0.514153\pi\) | |||||||
\(278\) | 7.77529e7 | − | 2.64802e8i | 0.217050 | − | 0.739204i | ||||
\(279\) | 7.76653e7 | + | 4.23306e7i | 0.214098 | + | 0.116692i | ||||
\(280\) | 4.01743e8 | + | 2.58185e8i | 1.09369 | + | 0.702874i | ||||
\(281\) | 8.05446e7 | − | 5.60200e8i | 0.216553 | − | 1.50616i | −0.534076 | − | 0.845436i | \(-0.679341\pi\) |
0.750630 | − | 0.660723i | \(-0.229750\pi\) | |||||||
\(282\) | −1.51351e8 | − | 1.62128e7i | −0.401896 | − | 0.0430512i | ||||
\(283\) | −4.86772e8 | + | 2.22301e8i | −1.27665 | + | 0.583028i | −0.934281 | − | 0.356537i | \(-0.883957\pi\) |
−0.342372 | + | 0.939565i | \(0.611230\pi\) | |||||||
\(284\) | −6.66782e7 | + | 5.77770e7i | −0.172731 | + | 0.149672i | ||||
\(285\) | −3.63291e8 | − | 2.15361e8i | −0.929602 | − | 0.551073i | ||||
\(286\) | 2.98658e8 | + | 1.36393e8i | 0.754907 | + | 0.344755i | ||||
\(287\) | −4.53730e8 | + | 1.33227e8i | −1.13295 | + | 0.332664i | ||||
\(288\) | −1.40544e8 | + | 7.68838e7i | −0.346687 | + | 0.189654i | ||||
\(289\) | −1.36203e8 | + | 2.98242e8i | −0.331928 | + | 0.726820i | ||||
\(290\) | 1.10132e8 | + | 7.65984e8i | 0.265167 | + | 1.84428i | ||||
\(291\) | 1.94926e8 | − | 7.03719e6i | 0.463707 | − | 0.0167407i | ||||
\(292\) | −2.04944e6 | − | 4.48765e6i | −0.00481720 | − | 0.0105482i | ||||
\(293\) | −3.62305e8 | + | 2.32839e8i | −0.841468 | + | 0.540779i | −0.888903 | − | 0.458096i | \(-0.848532\pi\) |
0.0474350 | + | 0.998874i | \(0.484895\pi\) | |||||||
\(294\) | 1.28145e8 | + | 1.37531e8i | 0.294093 | + | 0.315634i | ||||
\(295\) | −6.14179e8 | + | 9.55681e8i | −1.39289 | + | 2.16738i | ||||
\(296\) | 4.66795e8 | − | 5.38710e8i | 1.04618 | − | 1.20735i | ||||
\(297\) | 2.37520e8 | − | 2.55708e8i | 0.526081 | − | 0.566365i | ||||
\(298\) | − | 2.04932e7i | − | 0.0448594i | ||||||
\(299\) | 5.36718e8 | + | 1.41729e8i | 1.16117 | + | 0.306627i | ||||
\(300\) | 1.34223e8 | + | 1.08078e8i | 0.287013 | + | 0.231107i | ||||
\(301\) | 1.22551e8 | + | 3.59841e7i | 0.259020 | + | 0.0760551i | ||||
\(302\) | 3.82810e8 | + | 3.31707e8i | 0.799760 | + | 0.692996i | ||||
\(303\) | 5.39455e7 | − | 1.79779e7i | 0.111405 | − | 0.0371271i | ||||
\(304\) | 2.36150e8 | + | 3.39532e7i | 0.482092 | + | 0.0693144i | ||||
\(305\) | 7.69463e8 | + | 1.19731e9i | 1.55288 | + | 2.41633i | ||||
\(306\) | 1.20499e8 | + | 1.60709e8i | 0.240413 | + | 0.320638i | ||||
\(307\) | −3.77314e8 | − | 4.35443e8i | −0.744249 | − | 0.858909i | 0.249749 | − | 0.968311i | \(-0.419652\pi\) |
−0.993998 | + | 0.109402i | \(0.965106\pi\) | |||||||
\(308\) | −5.66844e7 | + | 8.14998e6i | −0.110544 | + | 0.0158939i | ||||
\(309\) | −2.84639e8 | − | 5.68088e8i | −0.548832 | − | 1.09537i | ||||
\(310\) | 5.42322e7 | + | 1.84698e8i | 0.103393 | + | 0.352125i | ||||
\(311\) | −1.54478e7 | − | 5.26105e7i | −0.0291210 | − | 0.0991770i | 0.943650 | − | 0.330945i | \(-0.107367\pi\) |
−0.972771 | + | 0.231768i | \(0.925549\pi\) | |||||||
\(312\) | 3.09828e8 | + | 6.18361e8i | 0.577537 | + | 1.15266i | ||||
\(313\) | −3.89672e8 | + | 5.60264e7i | −0.718280 | + | 0.103273i | −0.491757 | − | 0.870733i | \(-0.663645\pi\) |
−0.226523 | + | 0.974006i | \(0.572736\pi\) | |||||||
\(314\) | 1.29853e8 | + | 1.49859e8i | 0.236701 | + | 0.273167i | ||||
\(315\) | −4.03022e8 | − | 5.37508e8i | −0.726510 | − | 0.968942i | ||||
\(316\) | 9.44444e7 | + | 1.46958e8i | 0.168373 | + | 0.261993i | ||||
\(317\) | −4.22649e8 | − | 6.07677e7i | −0.745199 | − | 0.107143i | −0.240753 | − | 0.970587i | \(-0.577394\pi\) |
−0.504446 | + | 0.863443i | \(0.668303\pi\) | |||||||
\(318\) | 5.03793e8 | − | 1.67895e8i | 0.878531 | − | 0.292780i | ||||
\(319\) | −4.19309e8 | − | 3.63333e8i | −0.723214 | − | 0.626669i | ||||
\(320\) | −1.05304e9 | − | 3.09201e8i | −1.79647 | − | 0.527492i | ||||
\(321\) | 3.16743e8 | + | 2.55046e8i | 0.534491 | + | 0.430379i | ||||
\(322\) | 3.66515e8 | − | 1.18629e8i | 0.611782 | − | 0.198013i | ||||
\(323\) | 1.74270e8i | 0.287749i | ||||||||
\(324\) | 1.21688e8 | − | 1.76881e7i | 0.198766 | − | 0.0288918i | ||||
\(325\) | 8.92942e8 | − | 1.03051e9i | 1.44288 | − | 1.66518i | ||||
\(326\) | −4.14782e8 | + | 6.45413e8i | −0.663068 | + | 1.03175i | ||||
\(327\) | 1.77651e7 | + | 1.90663e7i | 0.0280964 | + | 0.0301543i | ||||
\(328\) | 9.47415e8 | − | 6.08867e8i | 1.48246 | − | 0.952717i | ||||
\(329\) | −8.72697e7 | − | 1.91094e8i | −0.135107 | − | 0.295843i | ||||
\(330\) | 7.59027e8 | − | 2.74023e7i | 1.16267 | − | 0.0419748i | ||||
\(331\) | −1.54429e7 | − | 1.07408e8i | −0.0234063 | − | 0.162794i | 0.974766 | − | 0.223230i | \(-0.0716601\pi\) |
−0.998172 | + | 0.0604357i | \(0.980751\pi\) | |||||||
\(332\) | 1.91192e7 | − | 4.18652e7i | 0.0286738 | − | 0.0627870i | ||||
\(333\) | −8.79751e8 | + | 4.81263e8i | −1.30558 | + | 0.714213i | ||||
\(334\) | −1.14104e8 | + | 3.35039e7i | −0.167567 | + | 0.0492021i | ||||
\(335\) | −1.34608e9 | − | 6.14736e8i | −1.95621 | − | 0.893371i | ||||
\(336\) | 3.26467e8 | + | 1.93531e8i | 0.469517 | + | 0.278332i | ||||
\(337\) | 1.42636e8 | − | 1.23595e8i | 0.203013 | − | 0.175912i | −0.547421 | − | 0.836858i | \(-0.684390\pi\) |
0.750433 | + | 0.660946i | \(0.229845\pi\) | |||||||
\(338\) | 2.55358e8 | − | 1.16618e8i | 0.359700 | − | 0.164270i | ||||
\(339\) | 9.55267e8 | + | 1.02329e8i | 1.33176 | + | 0.142659i | ||||
\(340\) | 1.56360e7 | − | 1.08751e8i | 0.0215749 | − | 0.150057i | ||||
\(341\) | −1.16102e8 | − | 7.46144e7i | −0.158563 | − | 0.101902i | ||||
\(342\) | −3.72707e8 | − | 2.03140e8i | −0.503820 | − | 0.274602i | ||||
\(343\) | −2.24546e8 | + | 7.64733e8i | −0.300452 | + | 1.02325i | ||||
\(344\) | −3.04181e8 | −0.402881 | ||||||||
\(345\) | 1.25691e9 | − | 2.63060e8i | 1.64793 | − | 0.344895i | ||||
\(346\) | −1.05381e8 | −0.136772 | ||||||||
\(347\) | 3.86405e8 | − | 1.31597e9i | 0.496466 | − | 1.69081i | −0.205549 | − | 0.978647i | \(-0.565898\pi\) |
0.702016 | − | 0.712162i | \(-0.252284\pi\) | |||||||
\(348\) | −3.47836e7 | − | 1.92367e8i | −0.0442433 | − | 0.244683i | ||||
\(349\) | −5.07494e8 | − | 3.26146e8i | −0.639060 | − | 0.410699i | 0.180594 | − | 0.983558i | \(-0.442198\pi\) |
−0.819654 | + | 0.572859i | \(0.805834\pi\) | |||||||
\(350\) | 1.34669e8 | − | 9.36642e8i | 0.167891 | − | 1.16771i | ||||
\(351\) | −1.05129e8 | − | 9.67297e8i | −0.129762 | − | 1.19395i | ||||
\(352\) | 2.27369e8 | − | 1.03836e8i | 0.277864 | − | 0.126896i | ||||
\(353\) | 1.10869e9 | − | 9.60687e8i | 1.34153 | − | 1.16244i | 0.369058 | − | 0.929406i | \(-0.379680\pi\) |
0.972469 | − | 0.233034i | \(-0.0748652\pi\) | |||||||
\(354\) | −5.82240e8 | + | 9.82178e8i | −0.697575 | + | 1.17674i | ||||
\(355\) | 1.46901e9 | + | 6.70873e8i | 1.74271 | + | 0.795868i | ||||
\(356\) | −1.41206e8 | + | 4.14618e7i | −0.165874 | + | 0.0487050i | ||||
\(357\) | −1.05989e8 | + | 2.56159e8i | −0.123288 | + | 0.297969i | ||||
\(358\) | −4.17559e7 | + | 9.14327e7i | −0.0480981 | + | 0.105320i | ||||
\(359\) | 2.10526e8 | + | 1.46424e9i | 0.240145 | + | 1.67025i | 0.651405 | + | 0.758730i | \(0.274180\pi\) |
−0.411260 | + | 0.911518i | \(0.634911\pi\) | |||||||
\(360\) | 1.28158e9 | + | 9.57833e8i | 1.44772 | + | 1.08201i | ||||
\(361\) | 2.18344e8 | + | 4.78107e8i | 0.244268 | + | 0.534871i | ||||
\(362\) | −1.22884e9 | + | 7.89729e8i | −1.36149 | + | 0.874980i | ||||
\(363\) | 2.68348e8 | − | 2.50034e8i | 0.294459 | − | 0.274363i | ||||
\(364\) | −8.63172e7 | + | 1.34312e8i | −0.0938086 | + | 0.145969i | ||||
\(365\) | −5.91362e7 | + | 6.82468e7i | −0.0636544 | + | 0.0734611i | ||||
\(366\) | 8.16282e8 | + | 1.17470e9i | 0.870275 | + | 1.25240i | ||||
\(367\) | − | 1.51278e9i | − | 1.59751i | −0.601656 | − | 0.798756i | \(-0.705492\pi\) | ||
0.601656 | − | 0.798756i | \(-0.294508\pi\) | |||||||
\(368\) | −5.99287e8 | + | 4.08786e8i | −0.626856 | + | 0.427591i | ||||
\(369\) | −1.54786e9 | + | 3.37968e8i | −1.60376 | + | 0.350174i | ||||
\(370\) | −2.09393e9 | − | 6.14832e8i | −2.14909 | − | 0.631031i | ||||
\(371\) | 5.53882e8 | + | 4.79942e8i | 0.563130 | + | 0.487955i | ||||
\(372\) | −1.53741e7 | − | 4.61324e7i | −0.0154843 | − | 0.0464628i | ||||
\(373\) | 8.82939e7 | + | 1.26947e7i | 0.0880947 | + | 0.0126661i | 0.186221 | − | 0.982508i | \(-0.440376\pi\) |
−0.0981265 | + | 0.995174i | \(0.531285\pi\) | |||||||
\(374\) | −1.69442e8 | − | 2.63657e8i | −0.167483 | − | 0.260609i | ||||
\(375\) | 3.54347e8 | − | 1.39056e9i | 0.346991 | − | 1.36169i | ||||
\(376\) | 3.27633e8 | + | 3.78109e8i | 0.317856 | + | 0.366825i | ||||
\(377\) | −1.53107e9 | + | 2.20135e8i | −1.47164 | + | 0.211589i | ||||
\(378\) | −4.24295e8 | − | 5.25271e8i | −0.404061 | − | 0.500221i | ||||
\(379\) | 4.71929e8 | + | 1.60724e9i | 0.445286 | + | 1.51651i | 0.810588 | + | 0.585617i | \(0.199148\pi\) |
−0.365302 | + | 0.930889i | \(0.619034\pi\) | |||||||
\(380\) | 6.54114e7 | + | 2.22771e8i | 0.0611520 | + | 0.208265i | ||||
\(381\) | −1.52926e9 | + | 7.66229e8i | −1.41658 | + | 0.709776i | ||||
\(382\) | −6.25230e8 | + | 8.98945e7i | −0.573876 | + | 0.0825109i | ||||
\(383\) | −6.63735e8 | − | 7.65990e8i | −0.603669 | − | 0.696671i | 0.368852 | − | 0.929488i | \(-0.379751\pi\) |
−0.972520 | + | 0.232817i | \(0.925206\pi\) | |||||||
\(384\) | −6.44014e8 | − | 1.64110e8i | −0.580411 | − | 0.147902i | ||||
\(385\) | 5.66718e8 | + | 8.81831e8i | 0.506121 | + | 0.787540i | ||||
\(386\) | 4.04681e8 | + | 5.81844e7i | 0.358144 | + | 0.0514933i | ||||
\(387\) | 4.01055e8 | + | 1.49233e8i | 0.351735 | + | 0.130881i | ||||
\(388\) | −8.10395e7 | − | 7.02211e7i | −0.0704346 | − | 0.0610319i | ||||
\(389\) | −8.54208e6 | − | 2.50818e6i | −0.00735767 | − | 0.00216041i | 0.278052 | − | 0.960566i | \(-0.410311\pi\) |
−0.285409 | + | 0.958406i | \(0.592130\pi\) | |||||||
\(390\) | 1.32802e9 | − | 1.64928e9i | 1.13365 | − | 1.40789i | ||||
\(391\) | −3.57857e8 | − | 3.90800e8i | −0.302755 | − | 0.330625i | ||||
\(392\) | − | 6.17850e8i | − | 0.518062i | ||||||
\(393\) | −1.54807e8 | + | 1.07573e8i | −0.128652 | + | 0.0893985i | ||||
\(394\) | −1.02492e9 | + | 1.18282e9i | −0.844217 | + | 0.974279i | ||||
\(395\) | 1.72873e9 | − | 2.68996e9i | 1.41136 | − | 2.19612i | ||||
\(396\) | −1.91365e8 | + | 1.38353e7i | −0.154857 | + | 0.0111958i | ||||
\(397\) | −4.19315e8 | + | 2.69478e8i | −0.336337 | + | 0.216150i | −0.697897 | − | 0.716198i | \(-0.745881\pi\) |
0.361560 | + | 0.932349i | \(0.382244\pi\) | |||||||
\(398\) | 2.30691e8 | + | 5.05143e8i | 0.183417 | + | 0.401628i | ||||
\(399\) | −2.11356e7 | − | 5.85442e8i | −0.0166575 | − | 0.461401i | ||||
\(400\) | 2.53593e8 | + | 1.76378e9i | 0.198120 | + | 1.37795i | ||||
\(401\) | −8.05639e8 | + | 1.76410e9i | −0.623929 | + | 1.36621i | 0.288697 | + | 0.957420i | \(0.406778\pi\) |
−0.912627 | + | 0.408794i | \(0.865949\pi\) | |||||||
\(402\) | −1.37433e9 | − | 5.68643e8i | −1.05511 | − | 0.436565i | ||||
\(403\) | −3.69180e8 | + | 1.08401e8i | −0.280977 | + | 0.0825022i | ||||
\(404\) | −2.84353e7 | − | 1.29860e7i | −0.0214547 | − | 0.00979803i | ||||
\(405\) | −1.21981e9 | − | 1.89163e9i | −0.912430 | − | 1.41496i | ||||
\(406\) | −8.11257e8 | + | 7.02958e8i | −0.601613 | + | 0.521301i | ||||
\(407\) | 1.42324e9 | − | 6.49973e8i | 1.04640 | − | 0.477876i | ||||
\(408\) | 7.03198e7 | − | 6.56456e8i | 0.0512586 | − | 0.478514i | ||||
\(409\) | 1.84539e8 | − | 1.28350e9i | 0.133370 | − | 0.927605i | −0.807748 | − | 0.589527i | \(-0.799314\pi\) |
0.941118 | − | 0.338078i | \(-0.109777\pi\) | |||||||
\(410\) | −2.90057e9 | − | 1.86408e9i | −2.07845 | − | 1.33574i | ||||
\(411\) | 1.74249e9 | − | 3.15074e8i | 1.23801 | − | 0.223855i | ||||
\(412\) | −9.84139e7 | + | 3.35167e8i | −0.0693292 | + | 0.236114i | ||||
\(413\) | −1.57581e9 | −1.10072 | ||||||||
\(414\) | 1.25293e9 | − | 3.09801e8i | 0.867815 | − | 0.214576i | ||||
\(415\) | −8.42439e8 | −0.578589 | ||||||||
\(416\) | 1.96329e8 | − | 6.68635e8i | 0.133708 | − | 0.455368i | ||||
\(417\) | 1.25574e9 | − | 2.27061e8i | 0.848054 | − | 0.153344i | ||||
\(418\) | 5.57161e8 | + | 3.58066e8i | 0.373133 | + | 0.239798i | ||||
\(419\) | −1.88425e8 | + | 1.31052e9i | −0.125138 | + | 0.870352i | 0.826458 | + | 0.562999i | \(0.190352\pi\) |
−0.951595 | + | 0.307353i | \(0.900557\pi\) | |||||||
\(420\) | −3.93382e7 | + | 3.67233e8i | −0.0259085 | + | 0.241863i | ||||
\(421\) | 5.12008e8 | − | 2.33826e8i | 0.334418 | − | 0.152724i | −0.241127 | − | 0.970493i | \(-0.577517\pi\) |
0.575545 | + | 0.817770i | \(0.304790\pi\) | |||||||
\(422\) | −2.67185e8 | + | 2.31517e8i | −0.173069 | + | 0.149965i | ||||
\(423\) | −2.46474e8 | − | 6.59266e8i | −0.158336 | − | 0.423515i | ||||
\(424\) | −1.58768e9 | − | 7.25069e8i | −1.01154 | − | 0.461954i | ||||
\(425\) | −1.24888e9 | + | 3.66704e8i | −0.789149 | + | 0.231715i | ||||
\(426\) | 1.49983e9 | + | 6.20571e8i | 0.939958 | + | 0.388918i | ||||
\(427\) | −8.20123e8 | + | 1.79582e9i | −0.509778 | + | 1.11626i | ||||
\(428\) | −3.18165e7 | − | 2.21289e8i | −0.0196155 | − | 0.136429i | ||||
\(429\) | 5.47725e7 | + | 1.51716e9i | 0.0334936 | + | 0.927752i | ||||
\(430\) | 3.86863e8 | + | 8.47111e8i | 0.234648 | + | 0.513808i | ||||
\(431\) | 1.60940e8 | − | 1.03430e8i | 0.0968262 | − | 0.0622264i | −0.491332 | − | 0.870973i | \(-0.663490\pi\) |
0.588158 | + | 0.808746i | \(0.299853\pi\) | |||||||
\(432\) | 1.04529e9 | + | 7.23964e8i | 0.623798 | + | 0.432040i | ||||
\(433\) | 1.50313e9 | − | 2.33891e9i | 0.889791 | − | 1.38454i | −0.0330883 | − | 0.999452i | \(-0.510534\pi\) |
0.922879 | − | 0.385089i | \(-0.125829\pi\) | |||||||
\(434\) | −1.74859e8 | + | 2.01798e8i | −0.102677 | + | 0.118496i | ||||
\(435\) | −2.93845e9 | + | 2.04189e9i | −1.71161 | + | 1.18938i | ||||
\(436\) | − | 1.43265e7i | − | 0.00827825i | ||||||
\(437\) | 1.03095e9 | + | 4.37062e8i | 0.590954 | + | 0.250529i | ||||
\(438\) | −5.69230e7 | + | 7.06930e7i | −0.0323689 | + | 0.0401992i | ||||
\(439\) | −1.28338e9 | − | 3.76836e8i | −0.723987 | − | 0.212582i | −0.101081 | − | 0.994878i | \(-0.532230\pi\) |
−0.622906 | + | 0.782296i | \(0.714048\pi\) | |||||||
\(440\) | −1.88666e9 | − | 1.63480e9i | −1.05587 | − | 0.914914i | ||||
\(441\) | −3.03120e8 | + | 8.14619e8i | −0.168298 | + | 0.452293i | ||||
\(442\) | −8.64872e8 | − | 1.24350e8i | −0.476402 | − | 0.0684963i | ||||
\(443\) | −4.76540e7 | − | 7.41511e7i | −0.0260427 | − | 0.0405233i | 0.827988 | − | 0.560746i | \(-0.189485\pi\) |
−0.854031 | + | 0.520222i | \(0.825849\pi\) | |||||||
\(444\) | 5.34211e8 | + | 1.36129e8i | 0.289649 | + | 0.0738094i | ||||
\(445\) | 1.76405e9 | + | 2.03583e9i | 0.948969 | + | 1.09517i | ||||
\(446\) | 1.82045e9 | − | 2.61742e8i | 0.971645 | − | 0.139701i | ||||
\(447\) | 8.47187e7 | − | 4.24481e7i | 0.0448645 | − | 0.0224793i | ||||
\(448\) | −4.28902e8 | − | 1.46071e9i | −0.225364 | − | 0.767521i | ||||
\(449\) | 7.82704e8 | + | 2.66564e9i | 0.408071 | + | 1.38976i | 0.865676 | + | 0.500605i | \(0.166889\pi\) |
−0.457605 | + | 0.889156i | \(0.651293\pi\) | |||||||
\(450\) | 6.71509e8 | − | 3.09840e9i | 0.347382 | − | 1.60285i | ||||
\(451\) | 2.44685e9 | − | 3.51803e8i | 1.25600 | − | 0.180585i | ||||
\(452\) | −3.45874e8 | − | 3.99160e8i | −0.176171 | − | 0.203312i | ||||
\(453\) | −5.78349e8 | + | 2.26961e9i | −0.292312 | + | 1.14712i | ||||
\(454\) | 1.41683e8 | + | 2.20464e8i | 0.0710597 | + | 0.110571i | ||||
\(455\) | 2.89266e9 | + | 4.15901e8i | 1.43965 | + | 0.206990i | ||||
\(456\) | 4.41103e8 | + | 1.32359e9i | 0.217853 | + | 0.653699i | ||||
\(457\) | −4.07502e8 | − | 3.53103e8i | −0.199721 | − | 0.173059i | 0.549258 | − | 0.835653i | \(-0.314910\pi\) |
−0.748979 | + | 0.662593i | \(0.769456\pi\) | |||||||
\(458\) | −6.77704e7 | − | 1.98992e7i | −0.0329618 | − | 0.00967846i | ||||
\(459\) | −4.14776e8 | + | 8.31021e8i | −0.200202 | + | 0.401114i | ||||
\(460\) | −6.04137e8 | − | 3.65243e8i | −0.289390 | − | 0.174956i | ||||
\(461\) | 3.26784e9i | 1.55349i | 0.629818 | + | 0.776743i | \(0.283129\pi\) | ||||
−0.629818 | + | 0.776743i | \(0.716871\pi\) | |||||||
\(462\) | 6.01201e8 | + | 8.65180e8i | 0.283643 | + | 0.408188i | ||||
\(463\) | 6.52444e8 | − | 7.52961e8i | 0.305499 | − | 0.352565i | −0.582153 | − | 0.813079i | \(-0.697790\pi\) |
0.887652 | + | 0.460514i | \(0.152335\pi\) | |||||||
\(464\) | 1.09285e9 | − | 1.70050e9i | 0.507863 | − | 0.790251i | ||||
\(465\) | −6.51207e8 | + | 6.06765e8i | −0.300354 | + | 0.279856i | ||||
\(466\) | 1.27418e9 | − | 8.18866e8i | 0.583284 | − | 0.374854i | ||||
\(467\) | 4.28385e8 | + | 9.38033e8i | 0.194637 | + | 0.426196i | 0.981637 | − | 0.190757i | \(-0.0610943\pi\) |
−0.787000 | + | 0.616953i | \(0.788367\pi\) | |||||||
\(468\) | −3.20226e8 | + | 4.28461e8i | −0.144409 | + | 0.193219i | ||||
\(469\) | −2.92129e8 | − | 2.03180e9i | −0.130758 | − | 0.909444i | ||||
\(470\) | 6.36303e8 | − | 1.39331e9i | 0.282697 | − | 0.619020i | ||||
\(471\) | −3.50546e8 | + | 8.47220e8i | −0.154587 | + | 0.373614i | ||||
\(472\) | 3.60083e9 | − | 1.05730e9i | 1.57618 | − | 0.462808i | ||||
\(473\) | −6.07343e8 | − | 2.77364e8i | −0.263888 | − | 0.120514i | ||||
\(474\) | 1.63884e9 | − | 2.76454e9i | 0.706824 | − | 1.19234i | ||||
\(475\) | 2.07873e9 | − | 1.80123e9i | 0.889959 | − | 0.771154i | ||||
\(476\) | 1.38630e8 | − | 6.33103e7i | 0.0589161 | − | 0.0269061i | ||||
\(477\) | 1.73759e9 | + | 1.73491e9i | 0.733050 | + | 0.731918i | ||||
\(478\) | −1.22752e8 | + | 8.53757e8i | −0.0514079 | + | 0.357550i | ||||
\(479\) | −1.67258e9 | − | 1.07490e9i | −0.695364 | − | 0.446883i | 0.144625 | − | 0.989487i | \(-0.453802\pi\) |
−0.839989 | + | 0.542603i | \(0.817439\pi\) | |||||||
\(480\) | −2.86837e8 | − | 1.58632e9i | −0.118384 | − | 0.654708i | ||||
\(481\) | 1.22894e9 | − | 4.18540e9i | 0.503529 | − | 1.71486i | ||||
\(482\) | 4.71453e8 | 0.191767 | ||||||||
\(483\) | 1.24958e9 | + | 1.26945e9i | 0.504603 | + | 0.512626i | ||||
\(484\) | −2.01638e8 | −0.0808377 | ||||||||
\(485\) | −5.52978e8 | + | 1.88327e9i | −0.220096 | + | 0.749577i | ||||
\(486\) | −1.29380e9 | − | 1.85576e9i | −0.511257 | − | 0.733322i | ||||
\(487\) | −3.52333e9 | − | 2.26431e9i | −1.38230 | − | 0.888349i | −0.382926 | − | 0.923779i | \(-0.625084\pi\) |
−0.999372 | + | 0.0354297i | \(0.988720\pi\) | |||||||
\(488\) | 6.69121e8 | − | 4.65384e9i | 0.260636 | − | 1.81277i | ||||
\(489\) | −3.52728e9 | − | 3.77844e8i | −1.36414 | − | 0.146127i | ||||
\(490\) | −1.72064e9 | + | 7.85792e8i | −0.660701 | + | 0.301732i | ||||
\(491\) | −2.32827e9 | + | 2.01746e9i | −0.887662 | + | 0.769164i | −0.973868 | − | 0.227114i | \(-0.927071\pi\) |
0.0862060 | + | 0.996277i | \(0.472526\pi\) | |||||||
\(492\) | 7.49232e8 | + | 4.44148e8i | 0.283621 | + | 0.168132i | ||||
\(493\) | 1.34310e9 | + | 6.13373e8i | 0.504828 | + | 0.230547i | ||||
\(494\) | 1.77165e9 | − | 5.20203e8i | 0.661201 | − | 0.194146i | ||||
\(495\) | 1.68547e9 | + | 3.08105e9i | 0.624602 | + | 1.14177i | ||||
\(496\) | 2.08877e8 | − | 4.57377e8i | 0.0768608 | − | 0.168302i | ||||
\(497\) | 3.18805e8 | + | 2.21734e9i | 0.116487 | + | 0.810186i | ||||
\(498\) | −8.46165e8 | + | 3.05482e7i | −0.307010 | + | 0.0110836i | ||||
\(499\) | −1.59633e9 | − | 3.49548e9i | −0.575137 | − | 1.25937i | −0.944017 | − | 0.329897i | \(-0.892986\pi\) |
0.368880 | − | 0.929477i | \(-0.379741\pi\) | |||||||
\(500\) | −6.63658e8 | + | 4.26507e8i | −0.237438 | + | 0.152592i | ||||
\(501\) | −3.74851e8 | − | 4.02307e8i | −0.133176 | − | 0.142931i | ||||
\(502\) | 1.65251e9 | − | 2.57135e9i | 0.583016 | − | 0.907191i | ||||
\(503\) | −1.24749e9 | + | 1.43968e9i | −0.437068 | + | 0.504403i | −0.930961 | − | 0.365120i | \(-0.881028\pi\) |
0.493893 | + | 0.869523i | \(0.335573\pi\) | |||||||
\(504\) | −1.56617e8 | + | 2.21383e9i | −0.0544918 | + | 0.770259i | ||||
\(505\) | 5.72194e8i | 0.197708i | ||||||||
\(506\) | −1.98471e9 | + | 3.41151e8i | −0.681036 | + | 0.117063i | ||||
\(507\) | 1.01103e9 | + | 8.14092e8i | 0.344536 | + | 0.277425i | ||||
\(508\) | 9.02248e8 | + | 2.64924e8i | 0.305354 | + | 0.0896599i | ||||
\(509\) | 4.12707e9 | + | 3.57612e9i | 1.38717 | + | 1.20199i | 0.953677 | + | 0.300831i | \(0.0972641\pi\) |
0.433492 | + | 0.901158i | \(0.357281\pi\) | |||||||
\(510\) | −1.91759e9 | + | 6.39059e8i | −0.640119 | + | 0.213327i | ||||
\(511\) | −1.23988e8 | − | 1.78267e7i | −0.0411060 | − | 0.00591016i | ||||
\(512\) | 1.82982e9 | + | 2.84726e9i | 0.602509 | + | 0.937522i | ||||
\(513\) | 6.77801e7 | − | 1.96153e9i | 0.0221662 | − | 0.641483i | ||||
\(514\) | 3.05243e9 | + | 3.52269e9i | 0.991458 | + | 1.14420i | ||||
\(515\) | 6.32890e9 | − | 9.09958e8i | 2.04175 | − | 0.293559i | ||||
\(516\) | −1.05383e8 | − | 2.10326e8i | −0.0337674 | − | 0.0673936i | ||||
\(517\) | 3.09394e8 | + | 1.05370e9i | 0.0984681 | + | 0.335351i | ||||
\(518\) | −8.52853e8 | − | 2.90455e9i | −0.269600 | − | 0.918174i | ||||
\(519\) | −2.18279e8 | − | 4.35646e8i | −0.0685372 | − | 0.136788i | ||||
\(520\) | −6.88898e9 | + | 9.90485e8i | −2.14854 | + | 0.308913i | ||||
\(521\) | 2.92234e8 | + | 3.37256e8i | 0.0905313 | + | 0.104479i | 0.799208 | − | 0.601055i | \(-0.205253\pi\) |
−0.708676 | + | 0.705534i | \(0.750707\pi\) | |||||||
\(522\) | −2.87740e9 | + | 2.15747e9i | −0.885430 | + | 0.663893i | ||||
\(523\) | 1.67981e9 | + | 2.61383e9i | 0.513457 | + | 0.798955i | 0.997083 | − | 0.0763198i | \(-0.0243170\pi\) |
−0.483626 | + | 0.875275i | \(0.660681\pi\) | |||||||
\(524\) | 1.02581e8 | + | 1.47489e7i | 0.0311463 | + | 0.00447816i | ||||
\(525\) | 4.15101e9 | − | 1.38337e9i | 1.25198 | − | 0.417235i | ||||
\(526\) | −6.34951e8 | − | 5.50188e8i | −0.190235 | − | 0.164839i | ||||
\(527\) | 3.52405e8 | + | 1.03475e8i | 0.104883 | + | 0.0307964i | ||||
\(528\) | −1.54526e9 | − | 1.24426e9i | −0.456859 | − | 0.367869i | ||||
\(529\) | −3.20940e9 | + | 1.13692e9i | −0.942604 | + | 0.333913i | ||||
\(530\) | 5.34367e9i | 1.55910i | ||||||||
\(531\) | −5.26632e9 | − | 3.72565e8i | −1.52643 | − | 0.107987i | ||||
\(532\) | −2.10903e8 | + | 2.43395e8i | −0.0607284 | + | 0.0700843i | ||||
\(533\) | 3.72598e9 | − | 5.79774e9i | 1.06585 | − | 1.65849i | ||||
\(534\) | 1.84568e9 | + | 1.98086e9i | 0.524520 | + | 0.562938i | ||||
\(535\) | −3.44255e9 | + | 2.21239e9i | −0.971946 | + | 0.624632i | ||||
\(536\) | 2.03078e9 | + | 4.44680e9i | 0.569622 | + | 1.24730i | ||||
\(537\) | −4.64472e8 | + | 1.67683e7i | −0.129434 | + | 0.00467283i | ||||
\(538\) | −5.61488e7 | − | 3.90523e8i | −0.0155454 | − | 0.108121i | ||||
\(539\) | 5.63380e8 | − | 1.23363e9i | 0.154967 | − | 0.339331i | ||||
\(540\) | −2.18292e8 | + | 1.21799e9i | −0.0596567 | + | 0.332862i | ||||
\(541\) | 3.31495e9 | − | 9.73357e8i | 0.900091 | − | 0.264291i | 0.201227 | − | 0.979545i | \(-0.435507\pi\) |
0.698864 | + | 0.715254i | \(0.253689\pi\) | |||||||
\(542\) | 3.29213e9 | + | 1.50346e9i | 0.888135 | + | 0.405598i | ||||
\(543\) | −5.81006e9 | − | 3.44423e9i | −1.55733 | − | 0.923195i | ||||
\(544\) | −5.02723e8 | + | 4.35612e8i | −0.133885 | + | 0.116012i | ||||
\(545\) | −2.38539e8 | + | 1.08937e8i | −0.0631206 | + | 0.0288262i | ||||
\(546\) | 2.92053e9 | + | 3.12848e8i | 0.767870 | + | 0.0822545i | ||||
\(547\) | −5.57286e8 | + | 3.87601e9i | −0.145587 | + | 1.01258i | 0.777746 | + | 0.628579i | \(0.216363\pi\) |
−0.923333 | + | 0.384001i | \(0.874546\pi\) | |||||||
\(548\) | −8.18935e8 | − | 5.26297e8i | −0.212578 | − | 0.136615i | ||||
\(549\) | −3.16542e9 | + | 5.80769e9i | −0.816446 | + | 1.49796i | ||||
\(550\) | −1.39363e9 | + | 4.74627e9i | −0.357173 | + | 1.21642i | ||||
\(551\) | −3.12021e9 | −0.794608 | ||||||||
\(552\) | −3.70713e9 | − | 2.06237e9i | −0.938104 | − | 0.521891i | ||||
\(553\) | 4.43544e9 | 1.11532 | ||||||||
\(554\) | 8.96027e7 | − | 3.05159e8i | 0.0223891 | − | 0.0762503i | ||||
\(555\) | −1.79549e9 | − | 9.92979e9i | −0.445819 | − | 2.46555i | ||||
\(556\) | −5.90174e8 | − | 3.79282e8i | −0.145619 | − | 0.0935837i | ||||
\(557\) | 1.06452e9 | − | 7.40392e9i | 0.261013 | − | 1.81538i | −0.264261 | − | 0.964451i | \(-0.585128\pi\) |
0.525274 | − | 0.850933i | \(-0.323963\pi\) | |||||||
\(558\) | −6.32085e8 | + | 6.33062e8i | −0.154012 | + | 0.154251i | ||||
\(559\) | −1.69323e9 | + | 7.73272e8i | −0.409991 | + | 0.187237i | ||||
\(560\) | −2.88623e9 | + | 2.50093e9i | −0.694500 | + | 0.601788i | ||||
\(561\) | 7.38987e8 | − | 1.24659e9i | 0.176712 | − | 0.298095i | ||||
\(562\) | 5.20679e9 | + | 2.37786e9i | 1.23735 | + | 0.565079i | ||||
\(563\) | 6.53070e9 | − | 1.91759e9i | 1.54234 | − | 0.452872i | 0.603541 | − | 0.797332i | \(-0.293756\pi\) |
0.938801 | + | 0.344460i | \(0.111938\pi\) | |||||||
\(564\) | −1.47935e8 | + | 3.57537e8i | −0.0347211 | + | 0.0839159i | ||||
\(565\) | −4.01609e9 | + | 8.79400e9i | −0.936771 | + | 2.05124i | ||||
\(566\) | −7.70243e8 | − | 5.35716e9i | −0.178554 | − | 1.24187i | ||||
\(567\) | 1.29261e9 | − | 2.84204e9i | 0.297802 | − | 0.654770i | ||||
\(568\) | −2.21623e9 | − | 4.85287e9i | −0.507453 | − | 1.11117i | ||||
\(569\) | −1.05727e9 | + | 6.79467e8i | −0.240599 | + | 0.154623i | −0.655384 | − | 0.755296i | \(-0.727493\pi\) |
0.414785 | + | 0.909919i | \(0.363857\pi\) | |||||||
\(570\) | 3.12507e9 | − | 2.91179e9i | 0.706801 | − | 0.658565i | ||||
\(571\) | 2.12766e9 | − | 3.31070e9i | 0.478273 | − | 0.744207i | −0.515348 | − | 0.856981i | \(-0.672337\pi\) |
0.993621 | + | 0.112774i | \(0.0359737\pi\) | |||||||
\(572\) | 5.46552e8 | − | 6.30754e8i | 0.122108 | − | 0.140921i | ||||
\(573\) | −1.66668e9 | − | 2.39849e9i | −0.370093 | − | 0.532595i | ||||
\(574\) | − | 4.78271e9i | − | 1.05556i | ||||||
\(575\) | −9.62781e8 | + | 8.30785e9i | −0.211198 | + | 1.82243i | ||||
\(576\) | −1.08803e9 | − | 4.98306e9i | −0.237226 | − | 1.08647i | ||||
\(577\) | 8.18649e9 | + | 2.40377e9i | 1.77412 | + | 0.520928i | 0.994445 | − | 0.105259i | \(-0.0335670\pi\) |
0.779673 | + | 0.626187i | \(0.215385\pi\) | |||||||
\(578\) | −2.50611e9 | − | 2.17155e9i | −0.539824 | − | 0.467760i | ||||
\(579\) | 5.97693e8 | + | 1.79347e9i | 0.127969 | + | 0.383989i | ||||
\(580\) | 1.94712e9 | + | 2.79954e8i | 0.414377 | + | 0.0595784i | ||||
\(581\) | −6.31779e8 | − | 9.83067e8i | −0.133644 | − | 0.207954i | ||||
\(582\) | −4.87133e8 | + | 1.91165e9i | −0.102428 | + | 0.401955i | ||||
\(583\) | −2.50889e9 | − | 2.89542e9i | −0.524376 | − | 0.605162i | ||||
\(584\) | 2.95282e8 | − | 4.24551e7i | 0.0613467 | − | 0.00882033i | ||||
\(585\) | 9.56888e9 | + | 2.07384e9i | 1.97613 | + | 0.428282i | ||||
\(586\) | −1.22716e9 | − | 4.17933e9i | −0.251919 | − | 0.857957i | ||||
\(587\) | 1.55350e8 | + | 5.29073e8i | 0.0317013 | + | 0.107965i | 0.973824 | − | 0.227304i | \(-0.0729911\pi\) |
−0.942123 | + | 0.335269i | \(0.891173\pi\) | |||||||
\(588\) | 4.27212e8 | − | 2.14053e8i | 0.0866608 | − | 0.0434212i | ||||
\(589\) | −7.68242e8 | + | 1.10457e8i | −0.154915 | + | 0.0222735i | ||||
\(590\) | −7.52407e9 | − | 8.68324e9i | −1.50824 | − | 1.74060i | ||||
\(591\) | −7.01273e9 | − | 1.78701e9i | −1.39743 | − | 0.356098i | ||||
\(592\) | 3.08189e9 | + | 4.79551e9i | 0.610507 | + | 0.949967i | ||||
\(593\) | −2.29135e9 | − | 3.29446e8i | −0.451232 | − | 0.0648774i | −0.0870475 | − | 0.996204i | \(-0.527743\pi\) |
−0.364185 | + | 0.931327i | \(0.618652\pi\) | |||||||
\(594\) | 1.80465e9 | + | 3.03356e9i | 0.353297 | + | 0.593881i | ||||
\(595\) | −2.10825e9 | − | 1.82681e9i | −0.410311 | − | 0.355536i | ||||
\(596\) | −4.99834e7 | − | 1.46764e7i | −0.00967082 | − | 0.00283961i | ||||
\(597\) | −1.61042e9 | + | 1.99999e9i | −0.309763 | + | 0.384696i | ||||
\(598\) | −2.90470e9 | + | 4.80458e9i | −0.555453 | + | 0.918758i | ||||
\(599\) | 1.00342e8i | 0.0190761i | 0.999955 | + | 0.00953804i | \(0.00303610\pi\) | ||||
−0.999955 | + | 0.00953804i | \(0.996964\pi\) | |||||||
\(600\) | −8.55716e9 | + | 5.94625e9i | −1.61734 | + | 1.12386i | ||||
\(601\) | −1.24975e9 | + | 1.44229e9i | −0.234834 | + | 0.271013i | −0.860919 | − | 0.508742i | \(-0.830111\pi\) |
0.626085 | + | 0.779755i | \(0.284656\pi\) | |||||||
\(602\) | −6.98395e8 | + | 1.08672e9i | −0.130471 | + | 0.203016i | ||||
\(603\) | −4.95914e8 | − | 6.85930e9i | −0.0921077 | − | 1.27400i | ||||
\(604\) | 1.08319e9 | − | 6.96127e8i | 0.200022 | − | 0.128546i | ||||
\(605\) | 1.53323e9 | + | 3.35730e9i | 0.281490 | + | 0.616377i | ||||
\(606\) | 2.07487e7 | + | 5.74724e8i | 0.00378735 | + | 0.104907i | ||||
\(607\) | −5.42331e8 | − | 3.77199e9i | −0.0984246 | − | 0.684558i | −0.977970 | − | 0.208744i | \(-0.933063\pi\) |
0.879546 | − | 0.475814i | \(-0.157847\pi\) | |||||||
\(608\) | 5.83948e8 | − | 1.27867e9i | 0.105369 | − | 0.230725i | ||||
\(609\) | −4.58640e9 | − | 1.89767e9i | −0.822832 | − | 0.340456i | ||||
\(610\) | −1.38114e10 | + | 4.05540e9i | −2.46368 | + | 0.723402i | ||||
\(611\) | 2.78498e9 | + | 1.27186e9i | 0.493945 | + | 0.225577i | ||||
\(612\) | 4.78268e8 | − | 1.78806e8i | 0.0843416 | − | 0.0315320i | ||||
\(613\) | −5.15406e9 | + | 4.46602e9i | −0.903729 | + | 0.783085i | −0.976780 | − | 0.214243i | \(-0.931272\pi\) |
0.0730518 | + | 0.997328i | \(0.476726\pi\) | |||||||
\(614\) | 5.30075e9 | − | 2.42077e9i | 0.924161 | − | 0.422050i | ||||
\(615\) | 1.69808e9 | − | 1.58520e10i | 0.294370 | − | 2.74803i | ||||
\(616\) | 4.92815e8 | − | 3.42760e9i | 0.0849476 | − | 0.590824i | ||||
\(617\) | −5.23010e9 | − | 3.36118e9i | −0.896420 | − | 0.576094i | 0.00930642 | − | 0.999957i | \(-0.497038\pi\) |
−0.905727 | + | 0.423862i | \(0.860674\pi\) | |||||||
\(618\) | 6.32389e9 | − | 1.14348e9i | 1.07777 | − | 0.194880i | ||||
\(619\) | −1.86830e9 | + | 6.36285e9i | −0.316614 | + | 1.07829i | 0.635387 | + | 0.772194i | \(0.280840\pi\) |
−0.952001 | + | 0.306094i | \(0.900978\pi\) | |||||||
\(620\) | 4.89321e8 | 0.0824562 | ||||||||
\(621\) | 3.87595e9 | + | 4.53792e9i | 0.649467 | + | 0.760390i | ||||
\(622\) | 5.54560e8 | 0.0924021 | ||||||||
\(623\) | −1.05273e9 | + | 3.58528e9i | −0.174425 | + | 0.594038i | ||||
\(624\) | −5.44282e9 | + | 9.84163e8i | −0.896763 | + | 0.162152i | ||||
\(625\) | 2.72767e9 | + | 1.75297e9i | 0.446901 | + | 0.287206i | ||||
\(626\) | 5.66644e8 | − | 3.94110e9i | 0.0923209 | − | 0.642106i | ||||
\(627\) | −3.26178e8 | + | 3.04497e9i | −0.0528468 | + | 0.493340i | ||||
\(628\) | 4.58505e8 | − | 2.09392e8i | 0.0738729 | − | 0.0337366i | ||||
\(629\) | −3.14686e9 | + | 2.72677e9i | −0.504196 | + | 0.436889i | ||||
\(630\) | 6.36446e9 | − | 2.37942e9i | 1.01407 | − | 0.379123i | ||||
\(631\) | 3.11565e9 | + | 1.42287e9i | 0.493681 | + | 0.225457i | 0.646668 | − | 0.762772i | \(-0.276162\pi\) |
−0.152987 | + | 0.988228i | \(0.548889\pi\) | |||||||
\(632\) | −1.01353e10 | + | 2.97599e9i | −1.59708 | + | 0.468945i | ||||
\(633\) | −1.51052e9 | − | 6.24993e8i | −0.236708 | − | 0.0979405i | ||||
\(634\) | 1.79400e9 | − | 3.92832e9i | 0.279583 | − | 0.612201i | ||||
\(635\) | −2.44955e9 | − | 1.70370e10i | −0.379645 | − | 2.64049i | ||||
\(636\) | −4.87015e7 | − | 1.34900e9i | −0.00750658 | − | 0.207928i | ||||
\(637\) | −1.57066e9 | − | 3.43927e9i | −0.240766 | − | 0.527204i | ||||
\(638\) | 4.72064e9 | − | 3.03377e9i | 0.719662 | − | 0.462499i | ||||
\(639\) | 5.41200e8 | + | 7.48568e9i | 0.0820550 | + | 1.13495i | ||||
\(640\) | 3.61563e9 | − | 5.62603e9i | 0.545198 | − | 0.848345i | ||||
\(641\) | −1.17064e9 | + | 1.35099e9i | −0.175558 | + | 0.202605i | −0.836708 | − | 0.547649i | \(-0.815523\pi\) |
0.661150 | + | 0.750253i | \(0.270069\pi\) | |||||||
\(642\) | −3.37755e9 | + | 2.34701e9i | −0.503767 | + | 0.350060i | ||||
\(643\) | − | 2.95078e9i | − | 0.437721i | −0.975756 | − | 0.218861i | \(-0.929766\pi\) | ||
0.975756 | − | 0.218861i | \(-0.0702340\pi\) | |||||||
\(644\) | −2.68541e7 | − | 9.78895e8i | −0.00396196 | − | 0.144423i | ||||
\(645\) | −2.70063e9 | + | 3.35393e9i | −0.396284 | + | 0.492147i | ||||
\(646\) | −1.69115e9 | − | 4.96566e8i | −0.246813 | − | 0.0724708i | ||||
\(647\) | 7.16695e9 | + | 6.21020e9i | 1.04033 | + | 0.901448i | 0.995232 | − | 0.0975347i | \(-0.0310957\pi\) |
0.0450944 | + | 0.998983i | \(0.485641\pi\) | |||||||
\(648\) | −1.04682e9 | + | 7.36154e9i | −0.151133 | + | 1.06281i | ||||
\(649\) | 8.15369e9 | + | 1.17232e9i | 1.17084 | + | 0.168341i | ||||
\(650\) | 7.45592e9 | + | 1.16016e10i | 1.06489 | + | 1.65700i | ||||
\(651\) | −1.19642e9 | − | 3.04875e8i | −0.169961 | − | 0.0433101i | ||||
\(652\) | 1.27713e9 | + | 1.47388e9i | 0.180454 | + | 0.208255i | ||||
\(653\) | −5.61834e9 | + | 8.07796e8i | −0.789609 | + | 0.113529i | −0.525309 | − | 0.850912i | \(-0.676050\pi\) |
−0.264300 | + | 0.964440i | \(0.585141\pi\) | |||||||
\(654\) | −2.35643e8 | + | 1.18068e8i | −0.0329407 | + | 0.0165049i | ||||
\(655\) | −5.34439e8 | − | 1.82013e9i | −0.0743110 | − | 0.253080i | ||||
\(656\) | 2.53735e9 | + | 8.64144e9i | 0.350928 | + | 1.19515i | ||||
\(657\) | −4.10150e8 | − | 8.88909e7i | −0.0564240 | − | 0.0122286i | ||||
\(658\) | 2.10308e9 | − | 3.02377e8i | 0.287783 | − | 0.0413770i | ||||
\(659\) | 1.86611e9 | + | 2.15360e9i | 0.254003 | + | 0.293135i | 0.868402 | − | 0.495860i | \(-0.165147\pi\) |
−0.614400 | + | 0.788995i | \(0.710602\pi\) | |||||||
\(660\) | 4.76750e8 | − | 1.87091e9i | 0.0645487 | − | 0.253308i | ||||
\(661\) | −1.62196e9 | − | 2.52382e9i | −0.218441 | − | 0.339901i | 0.714687 | − | 0.699444i | \(-0.246569\pi\) |
−0.933129 | + | 0.359543i | \(0.882933\pi\) | |||||||
\(662\) | 1.08631e9 | + | 1.56188e8i | 0.145530 | + | 0.0209240i | ||||
\(663\) | −1.27737e9 | − | 3.83294e9i | −0.170223 | − | 0.510781i | ||||
\(664\) | 2.10325e9 | + | 1.82248e9i | 0.278807 | + | 0.241587i | ||||
\(665\) | 5.65623e9 | + | 1.66082e9i | 0.745850 | + | 0.219001i | ||||
\(666\) | −2.16350e9 | − | 9.90860e9i | −0.283790 | − | 1.29973i | ||||
\(667\) | 6.99706e9 | − | 6.40724e9i | 0.913009 | − | 0.836047i | ||||
\(668\) | 3.02296e8i | 0.0392387i | ||||||||
\(669\) | 4.85279e9 | + | 6.98358e9i | 0.626614 | + | 0.901752i | ||||
\(670\) | 9.80107e9 | − | 1.13110e10i | 1.25896 | − | 1.45292i | ||||
\(671\) | 5.57955e9 | − | 8.68195e9i | 0.712969 | − | 1.10940i | ||||
\(672\) | 1.63602e9 | − | 1.52437e9i | 0.207967 | − | 0.193775i | ||||
\(673\) | −1.97921e9 | + | 1.27196e9i | −0.250287 | + | 0.160850i | −0.659769 | − | 0.751468i | \(-0.729346\pi\) |
0.409482 | + | 0.912318i | \(0.365710\pi\) | |||||||
\(674\) | 7.92958e8 | + | 1.73634e9i | 0.0997564 | + | 0.218436i | ||||
\(675\) | 1.41997e10 | − | 3.64178e9i | 1.77711 | − | 0.455775i | ||||
\(676\) | −1.01556e8 | − | 7.06340e8i | −0.0126443 | − | 0.0879428i | ||||
\(677\) | −1.58348e9 | + | 3.46734e9i | −0.196134 | + | 0.429473i | −0.981989 | − | 0.188937i | \(-0.939496\pi\) |
0.785855 | + | 0.618410i | \(0.212223\pi\) | |||||||
\(678\) | −3.71496e9 | + | 8.97852e9i | −0.457773 | + | 1.10637i | ||||
\(679\) | −2.61234e9 | + | 7.67052e8i | −0.320247 | + | 0.0940331i | ||||
\(680\) | 6.04321e9 | + | 2.75984e9i | 0.737032 | + | 0.336591i | ||||
\(681\) | −6.17922e8 | + | 1.04237e9i | −0.0749754 | + | 0.126476i | ||||
\(682\) | 1.05490e9 | − | 9.14073e8i | 0.127340 | − | 0.110341i | ||||
\(683\) | −8.84159e9 | + | 4.03782e9i | −1.06184 | + | 0.484925i | −0.868234 | − | 0.496155i | \(-0.834745\pi\) |
−0.193603 | + | 0.981080i | \(0.562018\pi\) | |||||||
\(684\) | −7.62379e8 | + | 7.63558e8i | −0.0910908 | + | 0.0912317i | ||||
\(685\) | −2.53585e9 | + | 1.76372e10i | −0.301444 | + | 2.09659i | ||||
\(686\) | −6.78130e9 | − | 4.35807e9i | −0.802007 | − | 0.515419i | ||||
\(687\) | −5.81115e7 | − | 3.21380e8i | −0.00683776 | − | 0.0378155i | ||||
\(688\) | 6.85330e8 | − | 2.33402e9i | 0.0802306 | − | 0.273240i | ||||
\(689\) | −1.06811e10 | −1.24408 | ||||||||
\(690\) | −1.02868e9 | + | 1.29469e10i | −0.119209 | + | 1.50036i | ||||
\(691\) | −1.49267e10 | −1.72104 | −0.860519 | − | 0.509419i | \(-0.829861\pi\) | ||||
−0.860519 | + | 0.509419i | \(0.829861\pi\) | |||||||
\(692\) | −7.54701e7 | + | 2.57027e8i | −0.00865772 | + | 0.0294855i | ||||
\(693\) | −2.33136e9 | + | 4.27743e9i | −0.266099 | + | 0.488221i | ||||
\(694\) | 1.16695e10 | + | 7.49950e9i | 1.32523 | + | 0.851676i | ||||
\(695\) | −1.82749e9 | + | 1.27105e10i | −0.206494 | + | 1.43620i | ||||
\(696\) | 1.17535e10 | + | 1.25904e9i | 1.32140 | + | 0.141549i | ||||
\(697\) | −5.98413e9 | + | 2.73286e9i | −0.669401 | + | 0.305705i | ||||
\(698\) | 4.61105e9 | − | 3.99550e9i | 0.513222 | − | 0.444710i | ||||
\(699\) | 6.02443e9 | + | 3.57131e9i | 0.667184 | + | 0.395510i | ||||
\(700\) | −2.18804e9 | − | 9.99246e8i | −0.241109 | − | 0.110111i | ||||
\(701\) | 1.53919e10 | − | 4.51946e9i | 1.68763 | − | 0.495534i | 0.709709 | − | 0.704495i | \(-0.248826\pi\) |
0.977924 | + | 0.208961i | \(0.0670083\pi\) | |||||||
\(702\) | 9.68640e9 | + | 1.73603e9i | 1.05677 | + | 0.189399i | ||||
\(703\) | 3.65530e9 | − | 8.00398e9i | 0.396807 | − | 0.868885i | ||||
\(704\) | 1.13257e9 | + | 7.87720e9i | 0.122338 | + | 0.850879i | ||||
\(705\) | 7.07791e9 | − | 2.55526e8i | 0.760752 | − | 0.0274646i | ||||
\(706\) | 6.16358e9 | + | 1.34964e10i | 0.659199 | + | 1.44344i | ||||
\(707\) | −6.67710e8 | + | 4.29111e8i | −0.0710591 | + | 0.0456669i | ||||
\(708\) | 1.97857e9 | + | 2.12349e9i | 0.209525 | + | 0.224872i | ||||
\(709\) | 3.79697e9 | − | 5.90821e9i | 0.400107 | − | 0.622578i | −0.581488 | − | 0.813555i | \(-0.697529\pi\) |
0.981595 | + | 0.190977i | \(0.0611656\pi\) | |||||||
\(710\) | −1.06961e10 | + | 1.23439e10i | −1.12155 | + | 1.29434i | ||||
\(711\) | 1.48232e10 | + | 1.04866e9i | 1.54667 | + | 0.109419i | ||||
\(712\) | − | 8.89894e9i | − | 0.923971i | ||||||
\(713\) | 1.49596e9 | − | 1.82526e9i | 0.154564 | − | 0.188587i | ||||
\(714\) | −2.18382e9 | − | 1.75844e9i | −0.224529 | − | 0.180794i | ||||
\(715\) | −1.46580e10 | − | 4.30399e9i | −1.49970 | − | 0.440352i | ||||
\(716\) | 1.93102e8 | + | 1.67324e8i | 0.0196604 | + | 0.0170358i | ||||
\(717\) | −3.78368e9 | + | 1.26095e9i | −0.383352 | + | 0.127756i | ||||
\(718\) | −1.48091e10 | − | 2.12923e9i | −1.49312 | − | 0.214678i | ||||
\(719\) | −5.92412e9 | − | 9.21811e9i | −0.594392 | − | 0.924891i | −0.999941 | − | 0.0108185i | \(-0.996556\pi\) |
0.405550 | − | 0.914073i | \(-0.367080\pi\) | |||||||
\(720\) | −1.02370e10 | + | 7.67568e9i | −1.02214 | + | 0.766396i | ||||
\(721\) | 5.80815e9 | + | 6.70296e9i | 0.577117 | + | 0.666029i | ||||
\(722\) | −5.26179e9 | + | 7.56532e8i | −0.520300 | + | 0.0748078i | ||||
\(723\) | 9.76533e8 | + | 1.94898e9i | 0.0960955 | + | 0.191789i | ||||
\(724\) | 1.04612e9 | + | 3.56274e9i | 0.102446 | + | 0.348899i | ||||
\(725\) | −6.56564e9 | − | 2.23605e10i | −0.639873 | − | 2.17921i | ||||
\(726\) | 1.66175e9 | + | 3.31655e9i | 0.161171 | + | 0.321668i | ||||
\(727\) | 1.42062e10 | − | 2.04255e9i | 1.37122 | − | 0.197152i | 0.582966 | − | 0.812497i | \(-0.301892\pi\) |
0.788258 | + | 0.615344i | \(0.210983\pi\) | |||||||
\(728\) | −6.32214e9 | − | 7.29614e9i | −0.607302 | − | 0.700863i | ||||
\(729\) | 4.99182e9 | − | 9.19243e9i | 0.477213 | − | 0.878788i | ||||
\(730\) | −4.93777e8 | − | 7.68333e8i | −0.0469787 | − | 0.0731003i | ||||
\(731\) | 1.75878e9 | + | 2.52874e8i | 0.166533 | + | 0.0239438i | ||||
\(732\) | 3.44971e9 | − | 1.14965e9i | 0.325083 | − | 0.108337i | ||||
\(733\) | −8.56155e9 | − | 7.41863e9i | −0.802950 | − | 0.695760i | 0.153342 | − | 0.988173i | \(-0.450996\pi\) |
−0.956292 | + | 0.292413i | \(0.905542\pi\) | |||||||
\(734\) | 1.46803e10 | + | 4.31052e9i | 1.37025 | + | 0.402341i | ||||
\(735\) | −6.81247e9 | − | 5.48550e9i | −0.632847 | − | 0.509578i | ||||
\(736\) | 1.31620e9 | + | 4.06653e9i | 0.121689 | + | 0.375969i | ||||
\(737\) | 1.07305e10i | 0.987374i | ||||||||
\(738\) | 1.13077e9 | − | 1.59837e10i | 0.103556 | − | 1.46380i | ||||
\(739\) | 1.28226e10 | − | 1.47981e10i | 1.16875 | − | 1.34880i | 0.243288 | − | 0.969954i | \(-0.421774\pi\) |
0.925458 | − | 0.378850i | \(-0.123680\pi\) | |||||||
\(740\) | −2.99918e9 | + | 4.66681e9i | −0.272076 | + | 0.423359i | ||||
\(741\) | 5.82018e9 | + | 6.24647e9i | 0.525500 | + | 0.563989i | ||||
\(742\) | −6.23569e9 | + | 4.00743e9i | −0.560365 | + | 0.360124i | ||||
\(743\) | −6.15118e9 | − | 1.34692e10i | −0.550171 | − | 1.20471i | −0.956702 | − | 0.291069i | \(-0.905989\pi\) |
0.406531 | − | 0.913637i | \(-0.366738\pi\) | |||||||
\(744\) | 2.93846e9 | − | 1.06084e8i | 0.261586 | − | 0.00944375i | ||||
\(745\) | 1.35702e8 | + | 9.43826e8i | 0.0120237 | + | 0.0836267i | ||||
\(746\) | −3.74778e8 | + | 8.20649e8i | −0.0330512 | + | 0.0723721i | ||||
\(747\) | −1.87897e9 | − | 3.43476e9i | −0.164929 | − | 0.301491i | ||||
\(748\) | −7.64413e8 | + | 2.24452e8i | −0.0667840 | + | 0.0196096i | ||||
\(749\) | −5.16341e9 | − | 2.35805e9i | −0.449004 | − | 0.205053i | ||||
\(750\) | 1.24846e10 | + | 7.40092e9i | 1.08059 | + | 0.640577i | ||||
\(751\) | 2.36244e9 | − | 2.04707e9i | 0.203527 | − | 0.176357i | −0.547134 | − | 0.837045i | \(-0.684281\pi\) |
0.750660 | + | 0.660688i | \(0.229736\pi\) | |||||||
\(752\) | −3.63945e9 | + | 1.66208e9i | −0.312085 | + | 0.142524i | ||||
\(753\) | 1.40528e10 | + | 1.50534e9i | 1.19945 | + | 0.128485i | ||||
\(754\) | 2.22642e9 | − | 1.54851e10i | 0.189150 | − | 1.31557i | ||||
\(755\) | −1.98270e10 | − | 1.27421e10i | −1.67665 | − | 1.07752i | ||||
\(756\) | −1.58501e9 | + | 6.58685e8i | −0.133415 | + | 0.0554436i | ||||
\(757\) | −6.43705e9 | + | 2.19226e10i | −0.539326 | + | 1.83678i | 0.00816878 | + | 0.999967i | \(0.497400\pi\) |
−0.547495 | + | 0.836809i | \(0.684418\pi\) | |||||||
\(758\) | −1.69417e10 | −1.41291 | ||||||||
\(759\) | −5.52129e9 | − | 7.49814e9i | −0.458347 | − | 0.622454i | ||||
\(760\) | −1.40392e10 | −1.16010 | ||||||||
\(761\) | −4.45804e9 | + | 1.51827e10i | −0.366689 | + | 1.24883i | 0.545171 | + | 0.838325i | \(0.316465\pi\) |
−0.911860 | + | 0.410502i | \(0.865353\pi\) | |||||||
\(762\) | −3.07817e9 | − | 1.70235e10i | −0.252029 | − | 1.39382i | ||||
\(763\) | −3.06011e8 | − | 1.96661e8i | −0.0249403 | − | 0.0160281i | ||||
\(764\) | −2.28511e8 | + | 1.58933e9i | −0.0185387 | + | 0.128940i | ||||
\(765\) | −6.61382e9 | − | 6.60361e9i | −0.534118 | − | 0.533294i | ||||
\(766\) | 9.32458e9 | − | 4.25839e9i | 0.749598 | − | 0.342330i | ||||
\(767\) | 1.73563e10 | − | 1.50393e10i | 1.38891 | − | 1.20350i | ||||
\(768\) | −3.69127e9 | + | 6.22679e9i | −0.294044 | + | 0.496021i | ||||
\(769\) | 1.76213e9 | + | 8.04736e8i | 0.139732 | + | 0.0638133i | 0.484054 | − | 0.875038i | \(-0.339164\pi\) |
−0.344322 | + | 0.938852i | \(0.611891\pi\) | |||||||
\(770\) | −1.01723e10 | + | 2.98685e9i | −0.802972 | + | 0.235774i | ||||
\(771\) | −8.24019e9 | + | 1.99153e10i | −0.647510 | + | 1.56494i | ||||
\(772\) | 4.31730e8 | − | 9.45356e8i | 0.0337716 | − | 0.0739495i | ||||
\(773\) | 2.48226e9 | + | 1.72645e10i | 0.193294 | + | 1.34439i | 0.823214 | + | 0.567731i | \(0.192179\pi\) |
−0.629920 | + | 0.776660i | \(0.716912\pi\) | |||||||
\(774\) | −2.59095e9 | + | 3.46669e9i | −0.200847 | + | 0.268733i | ||||
\(775\) | −2.40813e9 | − | 5.27307e9i | −0.185833 | − | 0.406918i | ||||
\(776\) | 5.45472e9 | − | 3.50554e9i | 0.419041 | − | 0.269301i | ||||
\(777\) | 1.02408e10 | − | 9.54196e9i | 0.783181 | − | 0.729733i | ||||
\(778\) | 4.86798e7 | − | 7.57472e7i | 0.00370613 | − | 0.00576684i | ||||
\(779\) | 9.10386e9 | − | 1.05064e10i | 0.689993 | − | 0.796294i | ||||
\(780\) | −3.07155e9 | − | 4.42023e9i | −0.231754 | − | 0.333513i | ||||
\(781\) | − | 1.17103e10i | − | 0.879611i | ||||||
\(782\) | 4.81208e9 | − | 2.35917e9i | 0.359840 | − | 0.176415i | ||||
\(783\) | −1.48790e10 | − | 7.42634e9i | −1.10766 | − | 0.552852i | ||||
\(784\) | 4.74084e9 | + | 1.39204e9i | 0.351357 | + | 0.103168i | ||||
\(785\) | −6.97281e9 | − | 6.04197e9i | −0.514475 | − | 0.445795i | ||||
\(786\) | −6.02803e8 | − | 1.80880e9i | −0.0442789 | − | 0.132865i | ||||
\(787\) | 1.90777e10 | + | 2.74296e9i | 1.39513 | + | 0.200589i | 0.798532 | − | 0.601953i | \(-0.205611\pi\) |
0.596596 | + | 0.802542i | \(0.296520\pi\) | |||||||
\(788\) | 2.15092e9 | + | 3.34690e9i | 0.156597 | + | 0.243669i | ||||
\(789\) | 9.59283e8 | − | 3.76450e9i | 0.0695308 | − | 0.272859i | ||||
\(790\) | 2.11781e10 | + | 2.44408e10i | 1.52824 | + | 1.76368i | ||||
\(791\) | −1.32738e10 | + | 1.90848e9i | −0.953625 | + | 0.137111i | ||||
\(792\) | 2.45736e9 | − | 1.13385e10i | 0.175764 | − | 0.810991i | ||||
\(793\) | −8.10605e9 | − | 2.76067e10i | −0.577236 | − | 1.96588i | ||||
\(794\) | −1.42026e9 | − | 4.83697e9i | −0.100693 | − | 0.342927i | ||||
\(795\) | −2.20907e10 | + | 1.10685e10i | −1.55928 | + | 0.781274i | ||||
\(796\) | 1.39727e9 | − | 2.00897e8i | 0.0981937 | − | 0.0141181i | ||||
\(797\) | 1.52085e9 | + | 1.75515e9i | 0.106410 | + | 0.122804i | 0.806456 | − | 0.591294i | \(-0.201383\pi\) |
−0.700046 | + | 0.714098i | \(0.746837\pi\) | |||||||
\(798\) | 5.74147e9 | + | 1.46306e9i | 0.399957 | + | 0.101918i | ||||
\(799\) | −1.58005e9 | − | 2.45860e9i | −0.109586 | − | 0.170520i | ||||
\(800\) | 1.03922e10 | + | 1.49417e9i | 0.717614 | + | 0.103177i | ||||
\(801\) | −4.36587e9 | + | 1.17330e10i | −0.300163 | + | 0.806671i | ||||
\(802\) | −1.48236e10 | − | 1.28447e10i | −1.01472 | − | 0.879256i | ||||
\(803\) | 6.28286e8 | + | 1.84482e8i | 0.0428207 | + | 0.0125733i | ||||
\(804\) | −2.37117e9 | + | 2.94477e9i | −0.160904 | + | 0.199828i | ||||
\(805\) | −1.60945e10 | + | 7.89050e9i | −1.08741 | + | 0.533113i | ||||
\(806\) | − | 3.89147e9i | − | 0.261783i | ||||||
\(807\) | 1.49812e9 | − | 1.04102e9i | 0.100343 | − | 0.0697271i | ||||
\(808\) | 1.23785e9 | − | 1.42855e9i | 0.0825520 | − | 0.0952701i | ||||
\(809\) | −4.90585e9 | + | 7.63365e9i | −0.325758 | + | 0.506889i | −0.965047 | − | 0.262078i | \(-0.915592\pi\) |
0.639289 | + | 0.768966i | \(0.279229\pi\) | |||||||
\(810\) | 2.18325e10 | − | 6.44725e9i | 1.44346 | − | 0.426263i | ||||
\(811\) | −1.05168e10 | + | 6.75875e9i | −0.692327 | + | 0.444932i | −0.838913 | − | 0.544266i | \(-0.816808\pi\) |
0.146585 | + | 0.989198i | \(0.453172\pi\) | |||||||
\(812\) | 1.13354e9 | + | 2.48210e9i | 0.0743002 | + | 0.162695i | ||||
\(813\) | 6.03761e8 | + | 1.67238e10i | 0.0394047 | + | 1.09148i | ||||
\(814\) | 2.25207e9 | + | 1.56635e10i | 0.146351 | + | 1.01789i | ||||
\(815\) | 1.48292e10 | − | 3.24715e10i | 0.959548 | − | 2.10112i | ||||
\(816\) | 4.87864e9 | + | 2.01859e9i | 0.314328 | + | 0.130057i | ||||
\(817\) | −3.60277e9 | + | 1.05787e9i | −0.231132 | + | 0.0678664i | ||||
\(818\) | 1.19295e10 | + | 5.44801e9i | 0.762053 | + | 0.348018i | ||||
\(819\) | 4.75606e9 | + | 1.27215e10i | 0.302520 | + | 0.809176i | ||||
\(820\) | −6.62381e9 | + | 5.73956e9i | −0.419526 | + | 0.363522i | ||||
\(821\) | −1.89374e10 | + | 8.64842e9i | −1.19432 | + | 0.545426i | −0.910523 | − | 0.413459i | \(-0.864320\pi\) |
−0.283794 | + | 0.958885i | \(0.591593\pi\) | |||||||
\(822\) | −1.90751e9 | + | 1.78072e10i | −0.119789 | + | 1.11826i | ||||
\(823\) | −3.77531e9 | + | 2.62578e10i | −0.236077 | + | 1.64195i | 0.434906 | + | 0.900476i | \(0.356782\pi\) |
−0.670983 | + | 0.741473i | \(0.734128\pi\) | |||||||
\(824\) | −1.77694e10 | − | 1.14197e10i | −1.10644 | − | 0.711066i | ||||
\(825\) | −2.25077e10 | + | 4.06981e9i | −1.39554 | + | 0.252340i | ||||
\(826\) | 4.49012e9 | − | 1.52920e10i | 0.277222 | − | 0.944133i | ||||
\(827\) | 7.48043e9 | 0.459894 | 0.229947 | − | 0.973203i | \(-0.426145\pi\) | ||||
0.229947 | + | 0.973203i | \(0.426145\pi\) | |||||||
\(828\) | 1.41692e8 | − | 3.27780e9i | 0.00867440 | − | 0.200667i | ||||
\(829\) | −1.98491e10 | −1.21004 | −0.605020 | − | 0.796211i | \(-0.706835\pi\) | ||||
−0.605020 | + | 0.796211i | \(0.706835\pi\) | |||||||
\(830\) | 2.40045e9 | − | 8.17520e9i | 0.145720 | − | 0.496278i | ||||
\(831\) | 1.44712e9 | − | 2.61666e8i | 0.0874784 | − | 0.0158177i | ||||
\(832\) | 1.86648e10 | + | 1.19952e10i | 1.12355 | + | 0.722062i | ||||
\(833\) | −5.13636e8 | + | 3.57241e9i | −0.0307891 | + | 0.214143i | ||||
\(834\) | −1.37467e9 | + | 1.28329e10i | −0.0820573 | + | 0.766029i | ||||
\(835\) | 5.03326e9 | − | 2.29861e9i | 0.299190 | − | 0.136635i | ||||
\(836\) | 1.27235e9 | − | 1.10249e9i | 0.0753154 | − | 0.0652611i | ||||
\(837\) | −3.92633e9 | − | 1.30175e9i | −0.231445 | − | 0.0767344i | ||||
\(838\) | −1.21807e10 | − | 5.56272e9i | −0.715018 | − | 0.326538i | ||||
\(839\) | 5.24088e9 | − | 1.53886e9i | 0.306364 | − | 0.0899565i | −0.124937 | − | 0.992165i | \(-0.539873\pi\) |
0.431301 | + | 0.902208i | \(0.358055\pi\) | |||||||
\(840\) | −2.06363e10 | − | 8.53848e9i | −1.20131 | − | 0.497054i | ||||
\(841\) | −3.81625e9 | + | 8.35643e9i | −0.221234 | + | 0.484434i | ||||
\(842\) | 8.10176e8 | + | 5.63490e9i | 0.0467721 | + | 0.325307i | ||||
\(843\) | 9.54900e8 | + | 2.64501e10i | 0.0548986 | + | 1.52066i | ||||
\(844\) | 3.73328e8 | + | 8.17474e8i | 0.0213743 | + | 0.0468032i | ||||
\(845\) | −1.09884e10 | + | 7.06183e9i | −0.626523 | + | 0.402642i | ||||
\(846\) | 7.09995e9 | − | 5.13313e8i | 0.403143 | − | 0.0291465i | ||||
\(847\) | −2.76790e9 | + | 4.30694e9i | −0.156516 | + | 0.243544i | ||||
\(848\) | 9.14065e9 | − | 1.05489e10i | 0.514744 | − | 0.594046i | ||||
\(849\) | 2.05510e10 | − | 1.42806e10i | 1.15254 | − | 0.800883i | ||||
\(850\) | − | 1.31643e10i | − | 0.735242i | ||||||
\(851\) | 8.23892e9 | + | 2.54549e10i | 0.458265 | + | 1.41585i | ||||
\(852\) | 2.58770e9 | − | 3.21369e9i | 0.143343 | − | 0.178018i | ||||
\(853\) | −1.78712e10 | − | 5.24747e9i | −0.985901 | − | 0.289487i | −0.251243 | − | 0.967924i | \(-0.580839\pi\) |
−0.734658 | + | 0.678438i | \(0.762657\pi\) | |||||||
\(854\) | −1.50901e10 | − | 1.30757e10i | −0.829067 | − | 0.718391i | ||||
\(855\) | 1.85104e10 | + | 6.88772e9i | 1.01282 | + | 0.376872i | ||||
\(856\) | 1.33809e10 | + | 1.92388e9i | 0.729168 | + | 0.104839i | ||||
\(857\) | −5.05753e9 | − | 7.86967e9i | −0.274477 | − | 0.427094i | 0.676460 | − | 0.736479i | \(-0.263513\pi\) |
−0.950937 | + | 0.309385i | \(0.899877\pi\) | |||||||
\(858\) | −1.48789e10 | − | 3.79150e9i | −0.804204 | − | 0.204930i | ||||
\(859\) | −2.15401e10 | − | 2.48586e10i | −1.15950 | − | 1.33813i | −0.931185 | − | 0.364547i | \(-0.881224\pi\) |
−0.228315 | − | 0.973587i | \(-0.573322\pi\) | |||||||
\(860\) | 2.34318e9 | − | 3.36898e8i | 0.125620 | − | 0.0180615i | ||||
\(861\) | 1.97717e10 | − | 9.90654e9i | 1.05568 | − | 0.528945i | ||||
\(862\) | 5.45119e8 | + | 1.85651e9i | 0.0289879 | + | 0.0987236i | ||||
\(863\) | −2.78563e8 | − | 9.48698e8i | −0.0147532 | − | 0.0502447i | 0.951787 | − | 0.306758i | \(-0.0992443\pi\) |
−0.966541 | + | 0.256514i | \(0.917426\pi\) | |||||||
\(864\) | 5.82794e9 | − | 4.70760e9i | 0.307409 | − | 0.248314i | ||||
\(865\) | 4.85340e9 | − | 6.97814e8i | 0.254970 | − | 0.0366592i | ||||
\(866\) | 1.84142e10 | + | 2.12512e10i | 0.963476 | + | 1.11191i | ||||
\(867\) | 3.78622e9 | − | 1.48582e10i | 0.197305 | − | 0.774283i | ||||
\(868\) | 3.66961e8 | + | 5.71003e8i | 0.0190459 | + | 0.0296360i | ||||
\(869\) | −2.29503e10 | − | 3.29975e9i | −1.18637 | − | 0.170574i | ||||
\(870\) | −1.14420e10 | − | 3.43335e10i | −0.589095 | − | 1.76767i | ||||
\(871\) | 2.26088e10 | + | 1.95906e10i | 1.15935 | + | 1.00458i | ||||
\(872\) | 8.31208e8 | + | 2.44065e8i | 0.0424524 | + | 0.0124651i | ||||
\(873\) | −8.91175e9 | + | 1.94585e9i | −0.453329 | + | 0.0989825i | ||||
\(874\) | −7.17895e9 | + | 8.75920e9i | −0.363723 | + | 0.443787i | ||||
\(875\) | 2.00303e10i | 1.01078i | ||||||||
\(876\) | 1.31656e8 | + | 1.89464e8i | 0.00661721 | + | 0.00952274i | ||||
\(877\) | −2.27607e10 | + | 2.62672e10i | −1.13943 | + | 1.31497i | −0.197061 | + | 0.980391i | \(0.563140\pi\) |
−0.942368 | + | 0.334579i | \(0.891406\pi\) | |||||||
\(878\) | 7.31378e9 | − | 1.13805e10i | 0.364679 | − | 0.567452i | ||||
\(879\) | 1.47355e10 | − | 1.37298e10i | 0.731818 | − | 0.681874i | ||||
\(880\) | 1.67947e10 | − | 1.07933e10i | 0.830776 | − | 0.533908i | ||||
\(881\) | −4.52267e9 | − | 9.90326e9i | −0.222833 | − | 0.487936i | 0.764888 | − | 0.644163i | \(-0.222794\pi\) |
−0.987721 | + | 0.156227i | \(0.950067\pi\) | |||||||
\(882\) | −7.04151e9 | − | 5.26272e9i | −0.345562 | − | 0.258268i | ||||
\(883\) | 1.93954e9 | + | 1.34898e10i | 0.0948062 | + | 0.659392i | 0.980702 | + | 0.195508i | \(0.0626355\pi\) |
−0.885896 | + | 0.463884i | \(0.846455\pi\) | |||||||
\(884\) | −9.22679e8 | + | 2.02038e9i | −0.0449229 | + | 0.0983674i | ||||
\(885\) | 2.03116e10 | − | 4.90902e10i | 0.985016 | − | 2.38064i | ||||
\(886\) | 8.55363e8 | − | 2.51157e8i | 0.0413174 | − | 0.0121319i | ||||
\(887\) | 2.00037e10 | + | 9.13540e9i | 0.962451 | + | 0.439536i | 0.833747 | − | 0.552147i | \(-0.186191\pi\) |
0.128704 | + | 0.991683i | \(0.458918\pi\) | |||||||
\(888\) | −1.69988e10 | + | 2.86752e10i | −0.814654 | + | 1.37424i | ||||
\(889\) | 1.80439e10 | − | 1.56352e10i | 0.861341 | − | 0.746356i | ||||
\(890\) | −2.47826e10 | + | 1.13178e10i | −1.17837 | + | 0.538144i | ||||
\(891\) | −8.80268e9 | + | 1.37439e10i | −0.416911 | + | 0.650935i | ||||
\(892\) | 6.65344e8 | − | 4.62757e9i | 0.0313884 | − | 0.218311i | ||||
\(893\) | 5.19552e9 | + | 3.33896e9i | 0.244146 | + | 0.156903i | ||||
\(894\) | 1.70527e8 | + | 9.43080e8i | 0.00798198 | + | 0.0441435i | ||||
\(895\) | 1.31764e9 | − | 4.48748e9i | 0.0614352 | − | 0.209229i | ||||
\(896\) | 9.27669e9 | 0.430839 | ||||||||
\(897\) | −2.58787e10 | − | 2.05616e9i | −1.19720 | − | 0.0951224i | ||||
\(898\) | −2.80982e10 | −1.29483 | ||||||||
\(899\) | −1.85267e9 | + | 6.30962e9i | −0.0850432 | + | 0.289630i | ||||
\(900\) | −7.07615e9 | − | 3.85678e9i | −0.323555 | − | 0.176350i | ||||
\(901\) | 8.57722e9 | + | 5.51224e9i | 0.390670 | + | 0.251068i | ||||
\(902\) | −3.55810e9 | + | 2.47471e10i | −0.161434 | + | 1.12280i | ||||
\(903\) | −5.93911e9 | − | 6.36199e8i | −0.268419 | − | 0.0287532i | ||||
\(904\) | 2.90510e10 | − | 1.32672e10i | 1.30789 | − | 0.597295i | ||||
\(905\) | 5.13656e10 | − | 4.45085e10i | 2.30357 | − | 1.99606i | ||||
\(906\) | −2.03768e10 | − | 1.20795e10i | −0.910305 | − | 0.539633i | ||||
\(907\) | 2.40636e10 | + | 1.09895e10i | 1.07087 | + | 0.489049i | 0.871257 | − | 0.490827i | \(-0.163305\pi\) |
0.199610 | + | 0.979875i | \(0.436032\pi\) | |||||||
\(908\) | 6.39184e8 | − | 1.87681e8i | 0.0283351 | − | 0.00831994i | ||||
\(909\) | −2.33293e9 | + | 1.27622e9i | −0.103021 | + | 0.0563573i | ||||
\(910\) | −1.22784e10 | + | 2.68858e10i | −0.540126 | + | 1.18271i | ||||
\(911\) | 3.66464e9 | + | 2.54882e10i | 0.160590 | + | 1.11693i | 0.897526 | + | 0.440963i | \(0.145363\pi\) |
−0.736936 | + | 0.675963i | \(0.763728\pi\) | |||||||
\(912\) | −1.11499e10 | + | 4.02534e8i | −0.486732 | + | 0.0175720i | ||||
\(913\) | 2.53765e9 | + | 5.55669e9i | 0.110353 | + | 0.241640i | ||||
\(914\) | 4.58772e9 | − | 2.94835e9i | 0.198740 | − | 0.127722i | ||||
\(915\) | −4.53730e10 | − | 4.86963e10i | −1.95805 | − | 2.10146i | ||||
\(916\) | −9.70690e7 | + | 1.51042e8i | −0.00417298 | + | 0.00649329i | ||||
\(917\) | 1.72317e9 | − | 1.98864e9i | 0.0737963 | − | 0.0851655i | ||||
\(918\) | −6.88253e9 | − | 6.39299e9i | −0.293629 | − | 0.272744i | ||||
\(919\) | 5.15379e9i | 0.219040i | 0.993985 | + | 0.109520i | \(0.0349313\pi\) | ||||
−0.993985 | + | 0.109520i | \(0.965069\pi\) | |||||||
\(920\) | 3.14829e10 | − | 2.88291e10i | 1.33296 | − | 1.22060i | ||||
\(921\) | 2.09870e10 | + | 1.68990e10i | 0.885201 | + | 0.712776i | ||||
\(922\) | −3.17117e10 | − | 9.31141e9i | −1.33248 | − | 0.391253i | ||||
\(923\) | −2.46734e10 | − | 2.13796e10i | −1.03282 | − | 0.894941i | ||||
\(924\) | 2.54075e9 | − | 8.46733e8i | 0.105952 | − | 0.0353097i | ||||
\(925\) | 6.50510e10 | + | 9.35291e9i | 2.70245 | + | 0.388554i | ||||
\(926\) | 5.44780e9 | + | 8.47694e9i | 0.225467 | + | 0.350833i | ||||
\(927\) | 1.78260e10 | + | 2.37744e10i | 0.734977 | + | 0.980235i | ||||
\(928\) | −7.79940e9 | − | 9.00099e9i | −0.320364 | − | 0.369720i | ||||
\(929\) | 4.26149e9 | − | 6.12710e8i | 0.174384 | − | 0.0250726i | −0.0545696 | − | 0.998510i | \(-0.517379\pi\) |
0.228954 | + | 0.973437i | \(0.426470\pi\) | |||||||
\(930\) | −4.03261e9 | − | 8.04837e9i | −0.164398 | − | 0.328109i | ||||
\(931\) | −2.14874e9 | − | 7.31792e9i | −0.0872689 | − | 0.297210i | ||||
\(932\) | −1.08471e9 | − | 3.69419e9i | −0.0438893 | − | 0.149473i | ||||
\(933\) | 1.14867e9 | + | 2.29254e9i | 0.0463032 | + | 0.0924128i | ||||
\(934\) | −1.03235e10 | + | 1.48430e9i | −0.414584 | + | 0.0596082i | ||||
\(935\) | 9.54964e9 | + | 1.10209e10i | 0.382073 | + | 0.440936i | ||||
\(936\) | −1.94035e10 | − | 2.58783e10i | −0.773417 | − | 1.03150i | ||||
\(937\) | 1.21761e10 | + | 1.89464e10i | 0.483526 | + | 0.752381i | 0.994218 | − | 0.107383i | \(-0.0342470\pi\) |
−0.510692 | + | 0.859764i | \(0.670611\pi\) | |||||||
\(938\) | 2.05494e10 | + | 2.95455e9i | 0.812997 | + | 0.116891i | ||||
\(939\) | 1.74662e10 | − | 5.82079e9i | 0.688443 | − | 0.229431i | ||||
\(940\) | −2.94261e9 | − | 2.54979e9i | −0.115554 | − | 0.100128i | ||||
\(941\) | 2.28742e10 | + | 6.71646e9i | 0.894914 | + | 0.262771i | 0.696678 | − | 0.717384i | \(-0.254661\pi\) |
0.198236 | + | 0.980154i | \(0.436479\pi\) | |||||||
\(942\) | −7.22274e9 | − | 5.81585e9i | −0.281529 | − | 0.226691i | ||||
\(943\) | 1.15919e9 | + | 4.22551e10i | 0.0450156 | + | 1.64092i | ||||
\(944\) | 3.00118e10i | 1.16115i | ||||||||
\(945\) | 2.30194e10 | + | 2.13820e10i | 0.887324 | + | 0.824210i | ||||
\(946\) | 4.42217e9 | − | 5.10345e9i | 0.169831 | − | 0.195995i | ||||
\(947\) | −3.22540e9 | + | 5.01883e9i | −0.123413 | + | 0.192034i | −0.897462 | − | 0.441091i | \(-0.854592\pi\) |
0.774050 | + | 0.633125i | \(0.218228\pi\) | |||||||
\(948\) | −5.56911e9 | − | 5.97701e9i | −0.212303 | − | 0.227853i | ||||
\(949\) | 1.53576e9 | − | 9.86976e8i | 0.0583301 | − | 0.0374865i | ||||
\(950\) | 1.15563e10 | + | 2.53048e10i | 0.437308 | + | 0.957571i | ||||
\(951\) | 1.99556e10 | − | 7.20435e8i | 0.752372 | − | 0.0271621i | ||||
\(952\) | 1.31150e9 | + | 9.12171e9i | 0.0492652 | + | 0.342647i | ||||
\(953\) | 5.32728e9 | − | 1.16651e10i | 0.199380 | − | 0.436580i | −0.783362 | − | 0.621566i | \(-0.786497\pi\) |
0.982741 | + | 0.184986i | \(0.0592239\pi\) | |||||||
\(954\) | −2.17870e10 | + | 1.19185e10i | −0.812416 | + | 0.444428i | ||||
\(955\) | 2.82000e10 | − | 8.28028e9i | 1.04770 | − | 0.307633i | ||||
\(956\) | 1.99442e9 | + | 9.10822e8i | 0.0738268 | + | 0.0337156i | ||||
\(957\) | 2.23196e10 | + | 1.32312e10i | 0.823179 | + | 0.487985i | ||||
\(958\) | 1.51969e10 | − | 1.31682e10i | 0.558439 | − | 0.483891i | ||||
\(959\) | −2.24832e10 | + | 1.02677e10i | −0.823175 | + | 0.375931i | ||||
\(960\) | 5.10329e10 | + | 5.46667e9i | 1.86166 | + | 0.199422i | ||||
\(961\) | 3.68266e9 | − | 2.56135e10i | 0.133854 | − | 0.930972i | ||||
\(962\) | 3.71142e10 | + | 2.38518e10i | 1.34409 | + | 0.863792i | ||||
\(963\) | −1.66985e10 | − | 9.10134e9i | −0.602540 | − | 0.328408i | ||||
\(964\) | 3.37636e8 | − | 1.14988e9i | 0.0121389 | − | 0.0413413i | ||||
\(965\) | −1.90231e10 | −0.681453 | ||||||||
\(966\) | −1.58796e10 | + | 8.50901e9i | −0.566786 | + | 0.303710i | ||||
\(967\) | −1.19139e10 | −0.423704 | −0.211852 | − | 0.977302i | \(-0.567949\pi\) | ||||
−0.211852 | + | 0.977302i | \(0.567949\pi\) | |||||||
\(968\) | 3.43508e9 | − | 1.16988e10i | 0.121723 | − | 0.414551i | ||||
\(969\) | −1.45012e9 | − | 8.01974e9i | −0.0512001 | − | 0.283157i | ||||
\(970\) | −1.67000e10 | − | 1.07324e10i | −0.587509 | − | 0.377569i | ||||
\(971\) | −2.28628e9 | + | 1.59014e10i | −0.0801423 | + | 0.557402i | 0.909704 | + | 0.415258i | \(0.136309\pi\) |
−0.989846 | + | 0.142144i | \(0.954600\pi\) | |||||||
\(972\) | −5.45280e9 | + | 1.82657e9i | −0.190453 | + | 0.0637978i | ||||
\(973\) | −1.62027e10 | + | 7.39954e9i | −0.563888 | + | 0.257519i | ||||
\(974\) | 3.20127e10 | − | 2.77391e10i | 1.11011 | − | 0.961915i | ||||
\(975\) | −3.25174e10 | + | 5.48535e10i | −1.12357 | + | 1.89534i | ||||
\(976\) | 3.42019e10 | + | 1.56195e10i | 1.17754 | + | 0.537765i | ||||
\(977\) | −2.95364e10 | + | 8.67266e9i | −1.01327 | + | 0.297523i | −0.745891 | − | 0.666068i | \(-0.767976\pi\) |
−0.267381 | + | 0.963591i | \(0.586158\pi\) | |||||||
\(978\) | 1.37173e10 | − | 3.31528e10i | 0.468904 | − | 1.13327i | ||||
\(979\) | 8.11441e9 | − | 1.77681e10i | 0.276387 | − | 0.605203i | ||||
\(980\) | 6.84304e8 | + | 4.75944e9i | 0.0232251 | + | 0.161534i | ||||
\(981\) | −9.76188e8 | − | 7.29589e8i | −0.0330135 | − | 0.0246738i | ||||
\(982\) | −1.29436e10 | − | 2.83425e10i | −0.436179 | − | 0.955099i | ||||
\(983\) | −2.22457e10 | + | 1.42964e10i | −0.746979 | + | 0.480054i | −0.857927 | − | 0.513772i | \(-0.828248\pi\) |
0.110948 | + | 0.993826i | \(0.464611\pi\) | |||||||
\(984\) | −3.85328e10 | + | 3.59031e10i | −1.28928 | + | 1.20129i | ||||
\(985\) | 3.93710e10 | − | 6.12624e10i | 1.31265 | − | 2.04252i | ||||
\(986\) | −9.77933e9 | + | 1.12860e10i | −0.324893 | + | 0.374946i | ||||
\(987\) | 5.60619e9 | + | 8.06779e9i | 0.185591 | + | 0.267082i | ||||
\(988\) | − | 4.69364e9i | − | 0.154832i | ||||||
\(989\) | 5.90691e9 | − | 9.77045e9i | 0.194166 | − | 0.321164i | ||||
\(990\) | −3.47017e10 | + | 7.57698e9i | −1.13665 | + | 0.248184i | ||||
\(991\) | −2.76716e10 | − | 8.12513e9i | −0.903186 | − | 0.265199i | −0.203016 | − | 0.979175i | \(-0.565074\pi\) |
−0.700170 | + | 0.713976i | \(0.746892\pi\) | |||||||
\(992\) | −2.23897e9 | − | 1.94008e9i | −0.0728211 | − | 0.0630998i | ||||
\(993\) | 1.60443e9 | + | 4.81432e9i | 0.0519993 | + | 0.156032i | ||||
\(994\) | −2.24259e10 | − | 3.22436e9i | −0.724266 | − | 0.104134i | ||||
\(995\) | −1.39696e10 | − | 2.17371e10i | −0.449575 | − | 0.699552i | ||||
\(996\) | −5.31483e8 | + | 2.08569e9i | −0.0170444 | + | 0.0668871i | ||||
\(997\) | 1.44401e10 | + | 1.66648e10i | 0.461463 | + | 0.532557i | 0.938017 | − | 0.346588i | \(-0.112660\pi\) |
−0.476554 | + | 0.879145i | \(0.658114\pi\) | |||||||
\(998\) | 3.84694e10 | − | 5.53107e9i | 1.22506 | − | 0.176138i | ||||
\(999\) | 3.64807e10 | − | 2.94678e10i | 1.15767 | − | 0.935123i |
(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.g.a.5.17 | ✓ | 540 | |
3.2 | odd | 2 | inner | 69.8.g.a.5.38 | yes | 540 | |
23.14 | odd | 22 | inner | 69.8.g.a.14.38 | yes | 540 | |
69.14 | even | 22 | inner | 69.8.g.a.14.17 | yes | 540 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
69.8.g.a.5.17 | ✓ | 540 | 1.1 | even | 1 | trivial | |
69.8.g.a.5.38 | yes | 540 | 3.2 | odd | 2 | inner | |
69.8.g.a.14.17 | yes | 540 | 69.14 | even | 22 | inner | |
69.8.g.a.14.38 | yes | 540 | 23.14 | odd | 22 | inner |