Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,9,Mod(2,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([9]))
N = Newforms(chi, 9, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.2");
S:= CuspForms(chi, 9);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 9 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.f (of order \(14\), degree \(6\), 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: | \(17.5172802326\) |
Analytic rank: | \(0\) |
Dimension: | \(174\) |
Relative dimension: | \(29\) over \(\Q(\zeta_{14})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{14}]$ |
Embedding invariants
Embedding label | 2.14 | ||
Character | \(\chi\) | \(=\) | 43.2 |
Dual form | 43.9.f.a.22.14 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{9}{14}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.911670 | − | 1.89310i | −0.0569794 | − | 0.118319i | 0.870535 | − | 0.492107i | \(-0.163773\pi\) |
−0.927514 | + | 0.373788i | \(0.878059\pi\) | |||||||
\(3\) | 5.18580 | − | 10.7684i | 0.0640222 | − | 0.132943i | −0.866502 | − | 0.499173i | \(-0.833637\pi\) |
0.930525 | + | 0.366230i | \(0.119351\pi\) | |||||||
\(4\) | 156.861 | − | 196.697i | 0.612737 | − | 0.768348i | ||||
\(5\) | 618.914 | + | 141.263i | 0.990263 | + | 0.226021i | 0.686819 | − | 0.726828i | \(-0.259006\pi\) |
0.303444 | + | 0.952849i | \(0.401864\pi\) | |||||||
\(6\) | −25.1134 | −0.0193777 | ||||||||
\(7\) | 3955.82i | 1.64757i | 0.566900 | + | 0.823787i | \(0.308143\pi\) | ||||
−0.566900 | + | 0.823787i | \(0.691857\pi\) | |||||||
\(8\) | −1039.79 | − | 237.325i | −0.253855 | − | 0.0579407i | ||||
\(9\) | 4001.65 | + | 5017.91i | 0.609915 | + | 0.764809i | ||||
\(10\) | −296.820 | − | 1300.45i | −0.0296820 | − | 0.130045i | ||||
\(11\) | −8259.12 | − | 10356.6i | −0.564109 | − | 0.707371i | 0.415202 | − | 0.909729i | \(-0.363711\pi\) |
−0.979312 | + | 0.202358i | \(0.935139\pi\) | |||||||
\(12\) | −1304.67 | − | 2709.17i | −0.0629181 | − | 0.130651i | ||||
\(13\) | 409.382 | − | 1793.62i | 0.0143336 | − | 0.0627997i | −0.967255 | − | 0.253805i | \(-0.918318\pi\) |
0.981589 | + | 0.191006i | \(0.0611749\pi\) | |||||||
\(14\) | 7488.78 | − | 3606.40i | 0.194939 | − | 0.0938777i | ||||
\(15\) | 4730.75 | − | 5932.17i | 0.0934468 | − | 0.117179i | ||||
\(16\) | −13833.0 | − | 60606.2i | −0.211074 | − | 0.924777i | ||||
\(17\) | 28635.5 | + | 125460.i | 0.342854 | + | 1.50214i | 0.793020 | + | 0.609195i | \(0.208507\pi\) |
−0.450166 | + | 0.892945i | \(0.648635\pi\) | |||||||
\(18\) | 5851.23 | − | 12150.2i | 0.0557388 | − | 0.115743i | ||||
\(19\) | 145331. | + | 115897.i | 1.11517 | + | 0.889321i | 0.994641 | − | 0.103388i | \(-0.0329683\pi\) |
0.120533 | + | 0.992709i | \(0.461540\pi\) | |||||||
\(20\) | 124869. | − | 99580.0i | 0.780434 | − | 0.622375i | ||||
\(21\) | 42598.0 | + | 20514.1i | 0.219034 | + | 0.105481i | ||||
\(22\) | −12076.5 | + | 25077.2i | −0.0515527 | + | 0.107050i | ||||
\(23\) | 48670.1 | + | 61030.3i | 0.173920 | + | 0.218089i | 0.861150 | − | 0.508351i | \(-0.169745\pi\) |
−0.687229 | + | 0.726440i | \(0.741173\pi\) | |||||||
\(24\) | −7947.76 | + | 9966.17i | −0.0239552 | + | 0.0300389i | ||||
\(25\) | 11158.6 | + | 5373.69i | 0.0285660 | + | 0.0137566i | ||||
\(26\) | −3768.73 | + | 860.188i | −0.00824711 | + | 0.00188235i | ||||
\(27\) | 151238. | − | 34519.1i | 0.284581 | − | 0.0649538i | ||||
\(28\) | 778099. | + | 620513.i | 1.26591 | + | 1.00953i | ||||
\(29\) | −172907. | − | 359045.i | −0.244467 | − | 0.507641i | 0.742243 | − | 0.670130i | \(-0.233762\pi\) |
−0.986710 | + | 0.162490i | \(0.948048\pi\) | |||||||
\(30\) | −15543.1 | − | 3547.60i | −0.0191890 | − | 0.00437976i | ||||
\(31\) | 1.44366e6 | − | 695230.i | 1.56321 | − | 0.752804i | 0.565790 | − | 0.824549i | \(-0.308571\pi\) |
0.997423 | + | 0.0717455i | \(0.0228569\pi\) | |||||||
\(32\) | −315587. | + | 251672.i | −0.300967 | + | 0.240014i | ||||
\(33\) | −154355. | + | 35230.4i | −0.130156 | + | 0.0297072i | ||||
\(34\) | 211403. | − | 168588.i | 0.158196 | − | 0.126157i | ||||
\(35\) | −558812. | + | 2.44832e6i | −0.372386 | + | 1.63153i | ||||
\(36\) | 1.61471e6 | 0.961357 | ||||||||
\(37\) | − | 1.81390e6i | − | 0.967846i | −0.875111 | − | 0.483923i | \(-0.839211\pi\) | ||
0.875111 | − | 0.483923i | \(-0.160789\pi\) | |||||||
\(38\) | 86911.8 | − | 380786.i | 0.0416816 | − | 0.182619i | ||||
\(39\) | −17191.5 | − | 13709.8i | −0.00743114 | − | 0.00592614i | ||||
\(40\) | −610015. | − | 293768.i | −0.238287 | − | 0.114753i | ||||
\(41\) | 2.87992e6 | − | 1.38690e6i | 1.01917 | − | 0.490805i | 0.151766 | − | 0.988416i | \(-0.451504\pi\) |
0.867400 | + | 0.497612i | \(0.165790\pi\) | |||||||
\(42\) | − | 99344.4i | − | 0.0319261i | ||||||
\(43\) | −2.37524e6 | + | 2.45895e6i | −0.694759 | + | 0.719242i | ||||
\(44\) | −3.33265e6 | −0.889158 | ||||||||
\(45\) | 1.76783e6 | + | 3.67094e6i | 0.431113 | + | 0.895215i | ||||
\(46\) | 71165.6 | − | 147777.i | 0.0158942 | − | 0.0330047i | ||||
\(47\) | 173580. | − | 217663.i | 0.0355721 | − | 0.0446060i | −0.763727 | − | 0.645539i | \(-0.776633\pi\) |
0.799299 | + | 0.600933i | \(0.205204\pi\) | |||||||
\(48\) | −724368. | − | 165332.i | −0.136457 | − | 0.0311453i | ||||
\(49\) | −9.88374e6 | −1.71450 | ||||||||
\(50\) | − | 26023.4i | − | 0.00416374i | ||||||
\(51\) | 1.49951e6 | + | 342253.i | 0.221650 | + | 0.0505902i | ||||
\(52\) | −288584. | − | 361873.i | −0.0394693 | − | 0.0494929i | ||||
\(53\) | −1.20481e6 | − | 5.27862e6i | −0.152692 | − | 0.668986i | −0.992096 | − | 0.125479i | \(-0.959953\pi\) |
0.839405 | − | 0.543507i | \(-0.182904\pi\) | |||||||
\(54\) | −203227. | − | 254839.i | −0.0239005 | − | 0.0299703i | ||||
\(55\) | −3.64868e6 | − | 7.57657e6i | −0.398736 | − | 0.827983i | ||||
\(56\) | 938817. | − | 4.11322e6i | 0.0954616 | − | 0.418245i | ||||
\(57\) | 2.00169e6 | − | 963961.i | 0.189625 | − | 0.0913188i | ||||
\(58\) | −522074. | + | 654660.i | −0.0461339 | + | 0.0578501i | ||||
\(59\) | 185296. | + | 811833.i | 0.0152918 | + | 0.0669975i | 0.981998 | − | 0.188891i | \(-0.0604892\pi\) |
−0.966706 | + | 0.255888i | \(0.917632\pi\) | |||||||
\(60\) | −424772. | − | 1.86105e6i | −0.0327756 | − | 0.143599i | ||||
\(61\) | 3.63473e6 | − | 7.54760e6i | 0.262515 | − | 0.545117i | −0.727496 | − | 0.686112i | \(-0.759316\pi\) |
0.990010 | + | 0.140995i | \(0.0450302\pi\) | |||||||
\(62\) | −2.63228e6 | − | 2.09917e6i | −0.178142 | − | 0.142063i | ||||
\(63\) | −1.98500e7 | + | 1.58298e7i | −1.26008 | + | 1.00488i | ||||
\(64\) | −1.35740e7 | − | 6.53691e6i | −0.809075 | − | 0.389630i | ||||
\(65\) | 506745. | − | 1.05227e6i | 0.0283881 | − | 0.0589485i | ||||
\(66\) | 207415. | + | 260090.i | 0.0109311 | + | 0.0137072i | ||||
\(67\) | −2.32647e7 | + | 2.91730e7i | −1.15451 | + | 1.44771i | −0.281797 | + | 0.959474i | \(0.590930\pi\) |
−0.872713 | + | 0.488234i | \(0.837641\pi\) | |||||||
\(68\) | 2.91694e7 | + | 1.40473e7i | 1.36425 | + | 0.656986i | ||||
\(69\) | 909594. | − | 207609.i | 0.0401283 | − | 0.00915903i | ||||
\(70\) | 5.14436e6 | − | 1.17417e6i | 0.214259 | − | 0.0489033i | ||||
\(71\) | −1.64643e7 | − | 1.31299e7i | −0.647904 | − | 0.516687i | 0.243497 | − | 0.969902i | \(-0.421705\pi\) |
−0.891401 | + | 0.453215i | \(0.850277\pi\) | |||||||
\(72\) | −2.97000e6 | − | 6.16726e6i | −0.110516 | − | 0.229489i | ||||
\(73\) | −6.53045e6 | − | 1.49053e6i | −0.229960 | − | 0.0524868i | 0.105988 | − | 0.994367i | \(-0.466199\pi\) |
−0.335948 | + | 0.941881i | \(0.609057\pi\) | |||||||
\(74\) | −3.43390e6 | + | 1.65368e6i | −0.114514 | + | 0.0551472i | ||||
\(75\) | 115732. | − | 92293.5i | 0.00365771 | − | 0.00291693i | ||||
\(76\) | 4.55933e7 | − | 1.04064e7i | 1.36662 | − | 0.311921i | ||||
\(77\) | 4.09689e7 | − | 3.26716e7i | 1.16545 | − | 0.929412i | ||||
\(78\) | −10281.0 | + | 45044.0i | −0.000277752 | + | 0.00121691i | ||||
\(79\) | 3.09623e7 | 0.794922 | 0.397461 | − | 0.917619i | \(-0.369891\pi\) | ||||
0.397461 | + | 0.917619i | \(0.369891\pi\) | |||||||
\(80\) | − | 3.94641e7i | − | 0.963480i | ||||||
\(81\) | −8.95767e6 | + | 3.92461e7i | −0.208092 | + | 0.911709i | ||||
\(82\) | −5.25107e6 | − | 4.18759e6i | −0.116143 | − | 0.0926208i | ||||
\(83\) | −2.27532e7 | − | 1.09573e7i | −0.479435 | − | 0.230884i | 0.178527 | − | 0.983935i | \(-0.442867\pi\) |
−0.657962 | + | 0.753051i | \(0.728581\pi\) | |||||||
\(84\) | 1.07170e7 | − | 5.16104e6i | 0.215257 | − | 0.103662i | ||||
\(85\) | 8.16943e7i | 1.56501i | ||||||||
\(86\) | 6.82047e6 | + | 2.25483e6i | 0.124687 | + | 0.0412212i | ||||
\(87\) | −4.76300e6 | −0.0831388 | ||||||||
\(88\) | 6.12987e6 | + | 1.27288e7i | 0.102216 | + | 0.212254i | ||||
\(89\) | −9.40144e6 | + | 1.95223e7i | −0.149842 | + | 0.311151i | −0.962356 | − | 0.271791i | \(-0.912384\pi\) |
0.812514 | + | 0.582942i | \(0.198098\pi\) | |||||||
\(90\) | 5.33779e6 | − | 6.69337e6i | 0.0813563 | − | 0.102018i | ||||
\(91\) | 7.09525e6 | + | 1.61945e6i | 0.103467 | + | 0.0236157i | ||||
\(92\) | 1.96389e7 | 0.274136 | ||||||||
\(93\) | − | 1.91513e7i | − | 0.256015i | ||||||
\(94\) | −570306. | − | 130169.i | −0.00730461 | − | 0.00166723i | ||||
\(95\) | 7.35751e7 | + | 9.22603e7i | 0.903310 | + | 1.13271i | ||||
\(96\) | 1.07354e6 | + | 4.70350e6i | 0.0126396 | + | 0.0553779i | ||||
\(97\) | −1.03663e7 | − | 1.29990e7i | −0.117095 | − | 0.146832i | 0.719829 | − | 0.694151i | \(-0.244220\pi\) |
−0.836924 | + | 0.547319i | \(0.815649\pi\) | |||||||
\(98\) | 9.01071e6 | + | 1.87109e7i | 0.0976910 | + | 0.202858i | ||||
\(99\) | 1.89184e7 | − | 8.28871e7i | 0.196945 | − | 0.862872i | ||||
\(100\) | 2.80733e6 | − | 1.35194e6i | 0.0280733 | − | 0.0135194i | ||||
\(101\) | 7.99463e7 | − | 1.00250e8i | 0.768268 | − | 0.963378i | −0.231687 | − | 0.972790i | \(-0.574425\pi\) |
0.999956 | + | 0.00941217i | \(0.00299603\pi\) | |||||||
\(102\) | −719136. | − | 3.15074e6i | −0.00664370 | − | 0.0291080i | ||||
\(103\) | 3.46549e7 | + | 1.51833e8i | 0.307905 | + | 1.34902i | 0.857885 | + | 0.513841i | \(0.171778\pi\) |
−0.549981 | + | 0.835177i | \(0.685365\pi\) | |||||||
\(104\) | −851343. | + | 1.76783e6i | −0.00727732 | + | 0.0151115i | ||||
\(105\) | 2.34666e7 | + | 1.87140e7i | 0.193060 | + | 0.153961i | ||||
\(106\) | −8.89457e6 | + | 7.09319e6i | −0.0704534 | + | 0.0561847i | ||||
\(107\) | −3.62068e7 | − | 1.74363e7i | −0.276220 | − | 0.133020i | 0.290646 | − | 0.956831i | \(-0.406130\pi\) |
−0.566866 | + | 0.823810i | \(0.691844\pi\) | |||||||
\(108\) | 1.69335e7 | − | 3.51628e7i | 0.124466 | − | 0.258457i | ||||
\(109\) | −7.62500e7 | − | 9.56145e7i | −0.540174 | − | 0.677357i | 0.434581 | − | 0.900633i | \(-0.356896\pi\) |
−0.974755 | + | 0.223276i | \(0.928325\pi\) | |||||||
\(110\) | −1.10168e7 | + | 1.38147e7i | −0.0752463 | + | 0.0943559i | ||||
\(111\) | −1.95328e7 | − | 9.40652e6i | −0.128669 | − | 0.0619636i | ||||
\(112\) | 2.39747e8 | − | 5.47208e7i | 1.52364 | − | 0.347760i | ||||
\(113\) | −2.23613e8 | + | 5.10383e7i | −1.37146 | + | 0.313027i | −0.843905 | − | 0.536493i | \(-0.819749\pi\) |
−0.527557 | + | 0.849520i | \(0.676892\pi\) | |||||||
\(114\) | −3.64975e6 | − | 2.91058e6i | −0.0216095 | − | 0.0172330i | ||||
\(115\) | 2.15013e7 | + | 4.46478e7i | 0.122934 | + | 0.255275i | ||||
\(116\) | −9.77453e7 | − | 2.23097e7i | −0.539839 | − | 0.123215i | ||||
\(117\) | 1.06384e7 | − | 5.12320e6i | 0.0567720 | − | 0.0273400i | ||||
\(118\) | 1.36795e6 | − | 1.09091e6i | 0.00705576 | − | 0.00562678i | ||||
\(119\) | −4.96299e8 | + | 1.13277e8i | −2.47489 | + | 0.564877i | ||||
\(120\) | −6.32683e6 | + | 5.04548e6i | −0.0305113 | + | 0.0243320i | ||||
\(121\) | 8.65301e6 | − | 3.79113e7i | 0.0403669 | − | 0.176859i | ||||
\(122\) | −1.76021e7 | −0.0794555 | ||||||||
\(123\) | − | 3.82044e7i | − | 0.166914i | ||||||
\(124\) | 8.97038e7 | − | 3.93018e8i | 0.379423 | − | 1.66236i | ||||
\(125\) | −1.87732e8 | − | 1.49711e8i | −0.768951 | − | 0.613218i | ||||
\(126\) | 4.80641e7 | + | 2.31464e7i | 0.190695 | + | 0.0918337i | ||||
\(127\) | 1.88581e8 | − | 9.08160e7i | 0.724910 | − | 0.349098i | −0.0347703 | − | 0.999395i | \(-0.511070\pi\) |
0.759680 | + | 0.650297i | \(0.225356\pi\) | |||||||
\(128\) | 1.34991e8i | 0.502882i | ||||||||
\(129\) | 1.41614e7 | + | 3.83292e7i | 0.0511385 | + | 0.138411i | ||||
\(130\) | −2.45403e6 | −0.00859225 | ||||||||
\(131\) | −8.60610e7 | − | 1.78707e8i | −0.292227 | − | 0.606817i | 0.702231 | − | 0.711949i | \(-0.252188\pi\) |
−0.994458 | + | 0.105133i | \(0.966473\pi\) | |||||||
\(132\) | −1.72824e7 | + | 3.58874e7i | −0.0569258 | + | 0.118208i | ||||
\(133\) | −4.58469e8 | + | 5.74902e8i | −1.46522 | + | 1.83733i | ||||
\(134\) | 7.64370e7 | + | 1.74463e7i | 0.237074 | + | 0.0541107i | ||||
\(135\) | 9.84796e7 | 0.296491 | ||||||||
\(136\) | − | 1.37248e8i | − | 0.401191i | ||||||
\(137\) | −4.64092e8 | − | 1.05926e8i | −1.31741 | − | 0.300691i | −0.494658 | − | 0.869088i | \(-0.664707\pi\) |
−0.822755 | + | 0.568397i | \(0.807564\pi\) | |||||||
\(138\) | −1.22227e6 | − | 1.53268e6i | −0.00337017 | − | 0.00422606i | ||||
\(139\) | 9.77592e7 | + | 4.28311e8i | 0.261878 | + | 1.14736i | 0.919212 | + | 0.393762i | \(0.128827\pi\) |
−0.657335 | + | 0.753599i | \(0.728316\pi\) | |||||||
\(140\) | 3.93921e8 | + | 4.93961e8i | 1.02541 | + | 1.28582i | ||||
\(141\) | −1.44373e6 | − | 2.99794e6i | −0.00365267 | − | 0.00758485i | ||||
\(142\) | −9.84614e6 | + | 4.31388e7i | −0.0242166 | + | 0.106100i | ||||
\(143\) | −2.19570e7 | + | 1.05739e7i | −0.0525084 | + | 0.0252867i | ||||
\(144\) | 2.48762e8 | − | 3.11937e8i | 0.578540 | − | 0.725467i | ||||
\(145\) | −5.62947e7 | − | 2.46643e8i | −0.127349 | − | 0.557952i | ||||
\(146\) | 3.13188e6 | + | 1.37217e7i | 0.00689278 | + | 0.0301992i | ||||
\(147\) | −5.12551e7 | + | 1.06432e8i | −0.109766 | + | 0.227931i | ||||
\(148\) | −3.56789e8 | − | 2.84530e8i | −0.743643 | − | 0.593035i | ||||
\(149\) | 6.28021e8 | − | 5.00830e8i | 1.27417 | − | 1.01612i | 0.275681 | − | 0.961249i | \(-0.411097\pi\) |
0.998493 | − | 0.0548715i | \(-0.0174749\pi\) | |||||||
\(150\) | −280231. | − | 134952.i | −0.000553542 | − | 0.000266572i | ||||
\(151\) | 6.15638e7 | − | 1.27838e8i | 0.118418 | − | 0.245897i | −0.833332 | − | 0.552774i | \(-0.813569\pi\) |
0.951749 | + | 0.306876i | \(0.0992838\pi\) | |||||||
\(152\) | −1.23608e8 | − | 1.54999e8i | −0.231564 | − | 0.290373i | ||||
\(153\) | −5.14959e8 | + | 6.45738e8i | −0.939738 | + | 1.17839i | ||||
\(154\) | −9.92009e7 | − | 4.77726e7i | −0.176373 | − | 0.0849369i | ||||
\(155\) | 9.91712e8 | − | 2.26352e8i | 1.71814 | − | 0.392155i | ||||
\(156\) | −5.39334e6 | + | 1.23099e6i | −0.00910667 | + | 0.00207854i | ||||
\(157\) | −1.98120e8 | − | 1.57996e8i | −0.326084 | − | 0.260044i | 0.446740 | − | 0.894664i | \(-0.352585\pi\) |
−0.772824 | + | 0.634620i | \(0.781156\pi\) | |||||||
\(158\) | −2.82274e7 | − | 5.86148e7i | −0.0452942 | − | 0.0940543i | ||||
\(159\) | −6.30903e7 | − | 1.44000e7i | −0.0987129 | − | 0.0225306i | ||||
\(160\) | −2.30873e8 | + | 1.11183e8i | −0.352285 | + | 0.169651i | ||||
\(161\) | −2.41425e8 | + | 1.92530e8i | −0.359318 | + | 0.286547i | ||||
\(162\) | 8.24633e7 | − | 1.88217e7i | 0.119729 | − | 0.0273274i | ||||
\(163\) | 5.49132e8 | − | 4.37918e8i | 0.777905 | − | 0.620359i | −0.151906 | − | 0.988395i | \(-0.548541\pi\) |
0.929811 | + | 0.368036i | \(0.119970\pi\) | |||||||
\(164\) | 1.78948e8 | − | 7.84022e8i | 0.247372 | − | 1.08381i | ||||
\(165\) | −1.00509e8 | −0.135603 | ||||||||
\(166\) | 5.30635e7i | 0.0698817i | ||||||||
\(167\) | −1.28522e8 | + | 5.63093e8i | −0.165239 | + | 0.723959i | 0.822618 | + | 0.568594i | \(0.192512\pi\) |
−0.987857 | + | 0.155365i | \(0.950345\pi\) | |||||||
\(168\) | −3.94244e7 | − | 3.14399e7i | −0.0494912 | − | 0.0394679i | ||||
\(169\) | 7.31898e8 | + | 3.52464e8i | 0.897231 | + | 0.432083i | ||||
\(170\) | 1.54656e8 | − | 7.44782e7i | 0.185170 | − | 0.0891730i | ||||
\(171\) | 1.19304e9i | 1.39530i | ||||||||
\(172\) | 1.11085e8 | + | 8.52916e8i | 0.126924 | + | 0.974523i | ||||
\(173\) | 1.53540e9 | 1.71411 | 0.857053 | − | 0.515229i | \(-0.172293\pi\) | ||||
0.857053 | + | 0.515229i | \(0.172293\pi\) | |||||||
\(174\) | 4.34229e6 | + | 9.01685e6i | 0.00473720 | + | 0.00983689i | ||||
\(175\) | −2.12574e7 | + | 4.41414e7i | −0.0226651 | + | 0.0470645i | ||||
\(176\) | −5.13427e8 | + | 6.43817e8i | −0.535091 | + | 0.670983i | ||||
\(177\) | 9.70307e6 | + | 2.21466e6i | 0.00988590 | + | 0.00225639i | ||||
\(178\) | 4.55287e7 | 0.0453529 | ||||||||
\(179\) | − | 4.94325e8i | − | 0.481504i | −0.970587 | − | 0.240752i | \(-0.922606\pi\) | ||
0.970587 | − | 0.240752i | \(-0.0773941\pi\) | |||||||
\(180\) | 9.99367e8 | + | 2.28099e8i | 0.951996 | + | 0.217287i | ||||
\(181\) | 6.44071e8 | + | 8.07640e8i | 0.600095 | + | 0.752495i | 0.985393 | − | 0.170297i | \(-0.0544728\pi\) |
−0.385298 | + | 0.922792i | \(0.625901\pi\) | |||||||
\(182\) | −3.40275e6 | − | 1.49084e7i | −0.00310131 | − | 0.0135877i | ||||
\(183\) | −6.24268e7 | − | 7.82807e7i | −0.0556630 | − | 0.0697992i | ||||
\(184\) | −3.61226e7 | − | 7.50093e7i | −0.0315143 | − | 0.0654401i | ||||
\(185\) | 2.56237e8 | − | 1.12265e9i | 0.218754 | − | 0.958422i | ||||
\(186\) | −3.62553e7 | + | 1.74596e7i | −0.0302914 | + | 0.0145876i | ||||
\(187\) | 1.06284e9 | − | 1.33276e9i | 0.869163 | − | 1.08990i | ||||
\(188\) | −1.55857e7 | − | 6.82856e7i | −0.0124766 | − | 0.0546635i | ||||
\(189\) | 1.36551e8 | + | 5.98271e8i | 0.107016 | + | 0.468868i | ||||
\(190\) | 1.07582e8 | − | 2.23396e8i | 0.0825515 | − | 0.171420i | ||||
\(191\) | −1.58912e9 | − | 1.26728e9i | −1.19405 | − | 0.952227i | −0.194466 | − | 0.980909i | \(-0.562297\pi\) |
−0.999589 | + | 0.0286825i | \(0.990869\pi\) | |||||||
\(192\) | −1.40784e8 | + | 1.12272e8i | −0.103598 | + | 0.0826163i | ||||
\(193\) | 3.58160e7 | + | 1.72481e7i | 0.0258136 | + | 0.0124312i | 0.446746 | − | 0.894661i | \(-0.352583\pi\) |
−0.420932 | + | 0.907092i | \(0.638297\pi\) | |||||||
\(194\) | −1.51577e7 | + | 3.14752e7i | −0.0107010 | + | 0.0222209i | ||||
\(195\) | −8.70338e6 | − | 1.09137e7i | −0.00601935 | − | 0.00754802i | ||||
\(196\) | −1.55037e9 | + | 1.94410e9i | −1.05054 | + | 1.31733i | ||||
\(197\) | −2.28061e9 | − | 1.09828e9i | −1.51421 | − | 0.729205i | −0.521902 | − | 0.853005i | \(-0.674777\pi\) |
−0.992307 | + | 0.123800i | \(0.960492\pi\) | |||||||
\(198\) | −1.74161e8 | + | 3.97511e7i | −0.113316 | + | 0.0258636i | ||||
\(199\) | −2.68657e9 | + | 6.13193e8i | −1.71311 | + | 0.391007i | −0.962830 | − | 0.270108i | \(-0.912941\pi\) |
−0.750284 | + | 0.661115i | \(0.770083\pi\) | |||||||
\(200\) | −1.03273e7 | − | 8.23572e6i | −0.00645454 | − | 0.00514733i | ||||
\(201\) | 1.93501e8 | + | 4.01809e8i | 0.118549 | + | 0.246170i | ||||
\(202\) | −2.62667e8 | − | 5.99521e7i | −0.157761 | − | 0.0360080i | ||||
\(203\) | 1.42032e9 | − | 6.83989e8i | 0.836375 | − | 0.402777i | ||||
\(204\) | 3.02534e8 | − | 2.41263e8i | 0.174684 | − | 0.139306i | ||||
\(205\) | 1.97834e9 | − | 4.51543e8i | 1.12017 | − | 0.255673i | ||||
\(206\) | 2.55842e8 | − | 2.04027e8i | 0.142070 | − | 0.113297i | ||||
\(207\) | −1.11484e8 | + | 4.88444e8i | −0.0607200 | + | 0.266032i | ||||
\(208\) | −1.14368e8 | −0.0611012 | ||||||||
\(209\) | − | 2.46234e9i | − | 1.29052i | ||||||
\(210\) | 1.40337e7 | − | 6.14857e7i | 0.00721597 | − | 0.0316153i | ||||
\(211\) | −1.34352e9 | − | 1.07142e9i | −0.677818 | − | 0.540542i | 0.222957 | − | 0.974828i | \(-0.428429\pi\) |
−0.900775 | + | 0.434287i | \(0.857000\pi\) | |||||||
\(212\) | −1.22728e9 | − | 5.91025e8i | −0.607574 | − | 0.292592i | ||||
\(213\) | −2.26769e8 | + | 1.09206e8i | −0.110170 | + | 0.0530553i | ||||
\(214\) | 8.44392e7i | 0.0402614i | ||||||||
\(215\) | −1.81743e9 | + | 1.18634e9i | −0.850558 | + | 0.555209i | ||||
\(216\) | −1.65448e8 | −0.0760057 | ||||||||
\(217\) | 2.75021e9 | + | 5.71087e9i | 1.24030 | + | 2.57551i | ||||
\(218\) | −1.11493e8 | + | 2.31518e8i | −0.0493653 | + | 0.102508i | ||||
\(219\) | −4.99163e7 | + | 6.25930e7i | −0.0217003 | + | 0.0272113i | ||||
\(220\) | −2.06262e9 | − | 4.70780e8i | −0.880500 | − | 0.200968i | ||||
\(221\) | 2.36751e8 | 0.0992483 | ||||||||
\(222\) | 4.55533e7i | 0.0187546i | ||||||||
\(223\) | 8.71599e8 | + | 1.98937e8i | 0.352450 | + | 0.0804444i | 0.395080 | − | 0.918647i | \(-0.370717\pi\) |
−0.0426306 | + | 0.999091i | \(0.513574\pi\) | |||||||
\(224\) | −9.95572e8 | − | 1.24841e9i | −0.395440 | − | 0.495866i | ||||
\(225\) | 1.76881e7 | + | 7.74964e7i | 0.00690160 | + | 0.0302379i | ||||
\(226\) | 3.00482e8 | + | 3.76792e8i | 0.115182 | + | 0.144434i | ||||
\(227\) | −1.74370e9 | − | 3.62082e9i | −0.656700 | − | 1.36365i | −0.917297 | − | 0.398205i | \(-0.869633\pi\) |
0.260596 | − | 0.965448i | \(-0.416081\pi\) | |||||||
\(228\) | 1.24377e8 | − | 5.44933e8i | 0.0460259 | − | 0.201653i | ||||
\(229\) | 6.03550e8 | − | 2.90654e8i | 0.219468 | − | 0.105690i | −0.320920 | − | 0.947106i | \(-0.603992\pi\) |
0.540388 | + | 0.841416i | \(0.318278\pi\) | |||||||
\(230\) | 6.49208e7 | − | 8.14082e7i | 0.0231992 | − | 0.0290909i | ||||
\(231\) | −1.39365e8 | − | 6.10599e8i | −0.0489448 | − | 0.214441i | ||||
\(232\) | 9.45763e7 | + | 4.14366e8i | 0.0326460 | + | 0.143032i | ||||
\(233\) | 1.00857e9 | − | 2.09431e9i | 0.342201 | − | 0.710588i | −0.656855 | − | 0.754017i | \(-0.728114\pi\) |
0.999057 | + | 0.0434285i | \(0.0138281\pi\) | |||||||
\(234\) | −1.93975e7 | − | 1.54690e7i | −0.00646967 | − | 0.00515939i | ||||
\(235\) | 1.38179e8 | − | 1.10194e8i | 0.0453076 | − | 0.0361316i | ||||
\(236\) | 1.88751e8 | + | 9.08976e7i | 0.0608473 | + | 0.0293025i | ||||
\(237\) | 1.60564e8 | − | 3.33415e8i | 0.0508927 | − | 0.105680i | ||||
\(238\) | 6.66905e8 | + | 8.36273e8i | 0.207853 | + | 0.260639i | ||||
\(239\) | −3.77814e9 | + | 4.73764e9i | −1.15794 | + | 1.45201i | −0.288843 | + | 0.957377i | \(0.593271\pi\) |
−0.869099 | + | 0.494637i | \(0.835301\pi\) | |||||||
\(240\) | −4.24966e8 | − | 2.04653e8i | −0.128088 | − | 0.0616841i | ||||
\(241\) | 2.51000e9 | − | 5.72891e8i | 0.744056 | − | 0.169826i | 0.166345 | − | 0.986068i | \(-0.446803\pi\) |
0.577711 | + | 0.816242i | \(0.303946\pi\) | |||||||
\(242\) | −7.96586e7 | + | 1.81816e7i | −0.0232258 | + | 0.00530115i | ||||
\(243\) | 1.17191e9 | + | 9.34564e8i | 0.336100 | + | 0.268030i | ||||
\(244\) | −9.14445e8 | − | 1.89886e9i | −0.257987 | − | 0.535716i | ||||
\(245\) | −6.11719e9 | − | 1.39621e9i | −1.69780 | − | 0.387513i | ||||
\(246\) | −7.23247e7 | + | 3.48298e7i | −0.0197491 | + | 0.00951065i | ||||
\(247\) | 2.67372e8 | − | 2.13222e8i | 0.0718336 | − | 0.0572854i | ||||
\(248\) | −1.66610e9 | + | 3.80276e8i | −0.440447 | + | 0.100529i | ||||
\(249\) | −2.35987e8 | + | 1.88193e8i | −0.0613889 | + | 0.0489560i | ||||
\(250\) | −1.12269e8 | + | 4.91883e8i | −0.0287409 | + | 0.125922i | ||||
\(251\) | 6.56588e9 | 1.65424 | 0.827119 | − | 0.562027i | \(-0.189978\pi\) | ||||
0.827119 | + | 0.562027i | \(0.189978\pi\) | |||||||
\(252\) | 6.38751e9i | 1.58391i | ||||||||
\(253\) | 2.30096e8 | − | 1.00811e9i | 0.0561599 | − | 0.246053i | ||||
\(254\) | −3.43848e8 | − | 2.74209e8i | −0.0826097 | − | 0.0658791i | ||||
\(255\) | 8.79718e8 | + | 4.23650e8i | 0.208057 | + | 0.100195i | ||||
\(256\) | −3.21940e9 | + | 1.55038e9i | −0.749575 | + | 0.360976i | ||||
\(257\) | − | 8.52121e9i | − | 1.95330i | −0.214840 | − | 0.976649i | \(-0.568923\pi\) | ||
0.214840 | − | 0.976649i | \(-0.431077\pi\) | |||||||
\(258\) | 5.96506e7 | − | 6.17526e7i | 0.0134628 | − | 0.0139372i | ||||
\(259\) | 7.17547e9 | 1.59460 | ||||||||
\(260\) | −1.27490e8 | − | 2.64735e8i | −0.0278985 | − | 0.0579319i | ||||
\(261\) | 1.10974e9 | − | 2.30440e9i | 0.239144 | − | 0.496588i | ||||
\(262\) | −2.59852e8 | + | 3.25844e8i | −0.0551469 | + | 0.0691520i | ||||
\(263\) | 3.29270e9 | + | 7.51537e8i | 0.688223 | + | 0.157082i | 0.552310 | − | 0.833639i | \(-0.313746\pi\) |
0.135912 | + | 0.990721i | \(0.456603\pi\) | |||||||
\(264\) | 1.68857e8 | 0.0347620 | ||||||||
\(265\) | − | 3.43721e9i | − | 0.696983i | ||||||
\(266\) | 1.50632e9 | + | 3.43808e8i | 0.300878 | + | 0.0686735i | ||||
\(267\) | 1.61470e8 | + | 2.02477e8i | 0.0317722 | + | 0.0398411i | ||||
\(268\) | 2.08893e9 | + | 9.15218e9i | 0.404933 | + | 1.77413i | ||||
\(269\) | 1.60193e8 | + | 2.00876e8i | 0.0305939 | + | 0.0383635i | 0.796893 | − | 0.604120i | \(-0.206475\pi\) |
−0.766299 | + | 0.642484i | \(0.777904\pi\) | |||||||
\(270\) | −8.97809e7 | − | 1.86432e8i | −0.0168939 | − | 0.0350805i | ||||
\(271\) | −8.73895e8 | + | 3.82879e9i | −0.162025 | + | 0.709878i | 0.827009 | + | 0.562189i | \(0.190041\pi\) |
−0.989034 | + | 0.147689i | \(0.952816\pi\) | |||||||
\(272\) | 7.20755e9 | − | 3.47097e9i | 1.31678 | − | 0.634126i | ||||
\(273\) | 5.42334e7 | − | 6.80066e7i | 0.00976374 | − | 0.0122433i | ||||
\(274\) | 2.22570e8 | + | 9.75143e8i | 0.0394879 | + | 0.173008i | ||||
\(275\) | −3.65069e7 | − | 1.59947e8i | −0.00638328 | − | 0.0279670i | ||||
\(276\) | 1.01843e8 | − | 2.11480e8i | 0.0175508 | − | 0.0364446i | ||||
\(277\) | 2.07429e9 | + | 1.65419e9i | 0.352330 | + | 0.280974i | 0.783621 | − | 0.621239i | \(-0.213370\pi\) |
−0.431291 | + | 0.902213i | \(0.641942\pi\) | |||||||
\(278\) | 7.21712e8 | − | 5.75546e8i | 0.120833 | − | 0.0963609i | ||||
\(279\) | 9.26563e9 | + | 4.46209e9i | 1.52918 | + | 0.736413i | ||||
\(280\) | 1.16209e9 | − | 2.41311e9i | 0.189064 | − | 0.392596i | ||||
\(281\) | −5.97288e8 | − | 7.48976e8i | −0.0957985 | − | 0.120127i | 0.731622 | − | 0.681711i | \(-0.238764\pi\) |
−0.827420 | + | 0.561583i | \(0.810192\pi\) | |||||||
\(282\) | −4.35920e6 | + | 5.46627e6i | −0.000689304 | + | 0.000864360i | ||||
\(283\) | −7.17859e9 | − | 3.45702e9i | −1.11916 | − | 0.538960i | −0.219529 | − | 0.975606i | \(-0.570452\pi\) |
−0.899634 | + | 0.436646i | \(0.856166\pi\) | |||||||
\(284\) | −5.16522e9 | + | 1.17893e9i | −0.793990 | + | 0.181223i | ||||
\(285\) | 1.37504e9 | − | 3.13845e8i | 0.208419 | − | 0.0475703i | ||||
\(286\) | 4.00350e7 | + | 3.19269e7i | 0.00598379 | + | 0.00477191i | ||||
\(287\) | 5.48632e9 | + | 1.13925e10i | 0.808637 | + | 1.67915i | ||||
\(288\) | −2.52574e9 | − | 5.76484e8i | −0.367129 | − | 0.0837948i | ||||
\(289\) | −8.63534e9 | + | 4.15856e9i | −1.23791 | + | 0.596145i | ||||
\(290\) | −4.15598e8 | + | 3.31429e8i | −0.0587600 | + | 0.0468595i | ||||
\(291\) | −1.93736e8 | + | 4.42189e7i | −0.0270171 | + | 0.00616647i | ||||
\(292\) | −1.31755e9 | + | 1.05071e9i | −0.181233 | + | 0.144528i | ||||
\(293\) | 3.24765e8 | − | 1.42289e9i | 0.0440655 | − | 0.193063i | −0.948104 | − | 0.317959i | \(-0.897002\pi\) |
0.992170 | + | 0.124896i | \(0.0398596\pi\) | |||||||
\(294\) | 2.48215e8 | 0.0332230 | ||||||||
\(295\) | 5.28631e8i | 0.0698014i | ||||||||
\(296\) | −4.30484e8 | + | 1.88607e9i | −0.0560777 | + | 0.245692i | ||||
\(297\) | −1.60659e9 | − | 1.28122e9i | −0.206481 | − | 0.164663i | ||||
\(298\) | −1.52067e9 | − | 7.32316e8i | −0.192828 | − | 0.0928610i | ||||
\(299\) | 1.29390e8 | − | 6.23110e7i | 0.0161889 | − | 0.00779614i | ||||
\(300\) | − | 3.72414e7i | − | 0.00459771i | ||||||
\(301\) | −9.72716e9 | − | 9.39605e9i | −1.18500 | − | 1.14467i | ||||
\(302\) | −2.98137e8 | −0.0358417 | ||||||||
\(303\) | −6.64944e8 | − | 1.38077e9i | −0.0788886 | − | 0.163814i | ||||
\(304\) | 5.01374e9 | − | 1.04111e10i | 0.587040 | − | 1.21900i | ||||
\(305\) | 3.31579e9 | − | 4.15787e9i | 0.383166 | − | 0.480475i | ||||
\(306\) | 1.69192e9 | + | 3.86170e8i | 0.192972 | + | 0.0440446i | ||||
\(307\) | 1.05204e10 | 1.18434 | 0.592172 | − | 0.805812i | \(-0.298271\pi\) | ||||
0.592172 | + | 0.805812i | \(0.298271\pi\) | |||||||
\(308\) | − | 1.31834e10i | − | 1.46495i | ||||||
\(309\) | 1.81472e9 | + | 4.14197e8i | 0.199056 | + | 0.0454332i | ||||
\(310\) | −1.33262e9 | − | 1.67105e9i | −0.144298 | − | 0.180944i | ||||
\(311\) | −1.35905e9 | − | 5.95440e9i | −0.145276 | − | 0.636497i | −0.994160 | − | 0.107917i | \(-0.965582\pi\) |
0.848883 | − | 0.528580i | \(-0.177275\pi\) | |||||||
\(312\) | 1.46219e7 | + | 1.83352e7i | 0.00154307 | + | 0.00193494i | ||||
\(313\) | 7.11384e9 | + | 1.47720e10i | 0.741185 | + | 1.53909i | 0.839152 | + | 0.543897i | \(0.183052\pi\) |
−0.0979673 | + | 0.995190i | \(0.531234\pi\) | |||||||
\(314\) | −1.18481e8 | + | 5.19101e8i | −0.0121880 | + | 0.0533990i | ||||
\(315\) | −1.45216e10 | + | 6.99323e9i | −1.47493 | + | 0.710290i | ||||
\(316\) | 4.85677e9 | − | 6.09019e9i | 0.487078 | − | 0.610777i | ||||
\(317\) | −2.43453e9 | − | 1.06664e10i | −0.241090 | − | 1.05628i | −0.940027 | − | 0.341100i | \(-0.889201\pi\) |
0.698938 | − | 0.715183i | \(-0.253657\pi\) | |||||||
\(318\) | 3.02569e7 | + | 1.32564e8i | 0.00295881 | + | 0.0129634i | ||||
\(319\) | −2.29043e9 | + | 4.75612e9i | −0.221184 | + | 0.459294i | ||||
\(320\) | −7.47774e9 | − | 5.96330e9i | −0.713133 | − | 0.568704i | ||||
\(321\) | −3.75522e8 | + | 2.99469e8i | −0.0353684 | + | 0.0282054i | ||||
\(322\) | 5.84579e8 | + | 2.81519e8i | 0.0543776 | + | 0.0261869i | ||||
\(323\) | −1.03789e10 | + | 2.15520e10i | −0.953544 | + | 1.98005i | ||||
\(324\) | 6.31449e9 | + | 7.91812e9i | 0.573005 | + | 0.718525i | ||||
\(325\) | 1.42065e7 | − | 1.78144e7i | 0.00127337 | − | 0.00159675i | ||||
\(326\) | −1.32965e9 | − | 6.40326e8i | −0.117725 | − | 0.0566932i | ||||
\(327\) | −1.42503e9 | + | 3.25255e8i | −0.124633 | + | 0.0284467i | ||||
\(328\) | −3.32366e9 | + | 7.58603e8i | −0.287158 | + | 0.0655419i | ||||
\(329\) | 8.61037e8 | + | 6.86654e8i | 0.0734917 | + | 0.0586076i | ||||
\(330\) | 9.16310e7 | + | 1.90274e8i | 0.00772657 | + | 0.0160444i | ||||
\(331\) | −7.05167e9 | − | 1.60950e9i | −0.587462 | − | 0.134084i | −0.0815498 | − | 0.996669i | \(-0.525987\pi\) |
−0.505912 | + | 0.862585i | \(0.668844\pi\) | |||||||
\(332\) | −5.72436e9 | + | 2.75670e9i | −0.471166 | + | 0.226902i | ||||
\(333\) | 9.10198e9 | − | 7.25859e9i | 0.740217 | − | 0.590303i | ||||
\(334\) | 1.18316e9 | − | 2.70049e8i | 0.0950732 | − | 0.0216998i | ||||
\(335\) | −1.85199e10 | + | 1.47691e10i | −1.47048 | + | 1.17267i | ||||
\(336\) | 6.54025e8 | − | 2.86547e9i | 0.0513142 | − | 0.224822i | ||||
\(337\) | −5.86883e9 | −0.455022 | −0.227511 | − | 0.973776i | \(-0.573059\pi\) | ||||
−0.227511 | + | 0.973776i | \(0.573059\pi\) | |||||||
\(338\) | − | 1.70689e9i | − | 0.130779i | ||||||
\(339\) | −6.10012e8 | + | 2.67264e9i | −0.0461891 | + | 0.202368i | ||||
\(340\) | 1.60690e10 | + | 1.28146e10i | 1.20247 | + | 0.958937i | ||||
\(341\) | −1.91236e10 | − | 9.20944e9i | −1.41433 | − | 0.681108i | ||||
\(342\) | 2.25854e9 | − | 1.08765e9i | 0.165091 | − | 0.0795036i | ||||
\(343\) | − | 1.62938e10i | − | 1.17719i | ||||||
\(344\) | 3.05332e9 | − | 1.99308e9i | 0.218041 | − | 0.142328i | ||||
\(345\) | 5.92288e8 | 0.0418077 | ||||||||
\(346\) | −1.39978e9 | − | 2.90667e9i | −0.0976686 | − | 0.202811i | ||||
\(347\) | 4.94460e9 | − | 1.02676e10i | 0.341046 | − | 0.708190i | −0.657946 | − | 0.753065i | \(-0.728575\pi\) |
0.998993 | + | 0.0448747i | \(0.0142889\pi\) | |||||||
\(348\) | −7.47128e8 | + | 9.36869e8i | −0.0509422 | + | 0.0638795i | ||||
\(349\) | −4.88077e9 | − | 1.11400e9i | −0.328993 | − | 0.0750905i | 0.0548341 | − | 0.998495i | \(-0.482537\pi\) |
−0.383827 | + | 0.923405i | \(0.625394\pi\) | |||||||
\(350\) | 1.02944e8 | 0.00686007 | ||||||||
\(351\) | − | 2.85395e8i | − | 0.0188026i | ||||||
\(352\) | 5.21295e9 | + | 1.18982e9i | 0.339557 | + | 0.0775017i | ||||
\(353\) | −9.27474e9 | − | 1.16302e10i | −0.597314 | − | 0.749008i | 0.387643 | − | 0.921810i | \(-0.373289\pi\) |
−0.984957 | + | 0.172802i | \(0.944718\pi\) | |||||||
\(354\) | −4.65341e6 | − | 2.03879e7i | −0.000296318 | − | 0.00129826i | ||||
\(355\) | −8.33525e9 | − | 1.04521e10i | −0.524814 | − | 0.658095i | ||||
\(356\) | 2.36526e9 | + | 4.91152e9i | 0.147258 | + | 0.305785i | ||||
\(357\) | −1.35389e9 | + | 5.93178e9i | −0.0833510 | + | 0.365185i | ||||
\(358\) | −9.35806e8 | + | 4.50661e8i | −0.0569710 | + | 0.0274358i | ||||
\(359\) | 8.45762e8 | − | 1.06055e9i | 0.0509179 | − | 0.0638490i | −0.755720 | − | 0.654894i | \(-0.772713\pi\) |
0.806638 | + | 0.591045i | \(0.201285\pi\) | |||||||
\(360\) | −9.66967e8 | − | 4.23656e9i | −0.0575707 | − | 0.252234i | ||||
\(361\) | 3.90960e9 | + | 1.71291e10i | 0.230199 | + | 1.00857i | ||||
\(362\) | 9.41764e8 | − | 1.95559e9i | 0.0548413 | − | 0.113879i | ||||
\(363\) | −3.63372e8 | − | 2.89780e8i | −0.0209279 | − | 0.0166894i | ||||
\(364\) | 1.43151e9 | − | 1.14159e9i | 0.0815432 | − | 0.0650285i | ||||
\(365\) | −3.83123e9 | − | 1.84502e9i | −0.215857 | − | 0.103951i | ||||
\(366\) | −9.12807e7 | + | 1.89546e8i | −0.00508692 | + | 0.0105631i | ||||
\(367\) | 4.20866e9 | + | 5.27749e9i | 0.231996 | + | 0.290913i | 0.884179 | − | 0.467148i | \(-0.154718\pi\) |
−0.652184 | + | 0.758061i | \(0.726147\pi\) | |||||||
\(368\) | 3.02557e9 | − | 3.79394e9i | 0.164974 | − | 0.206871i | ||||
\(369\) | 1.84838e10 | + | 8.90131e9i | 0.996976 | + | 0.480118i | ||||
\(370\) | −2.35889e9 | + | 5.38401e8i | −0.125864 | + | 0.0287276i | ||||
\(371\) | 2.08813e10 | − | 4.76602e9i | 1.10220 | − | 0.251571i | ||||
\(372\) | −3.76700e9 | − | 3.00408e9i | −0.196709 | − | 0.156870i | ||||
\(373\) | −2.43286e9 | − | 5.05190e9i | −0.125685 | − | 0.260987i | 0.828626 | − | 0.559802i | \(-0.189123\pi\) |
−0.954311 | + | 0.298815i | \(0.903409\pi\) | |||||||
\(374\) | −3.49201e9 | − | 7.97027e8i | −0.178480 | − | 0.0407368i | ||||
\(375\) | −2.58570e9 | + | 1.24521e9i | −0.130753 | + | 0.0629674i | ||||
\(376\) | −2.32144e8 | + | 1.85129e8i | −0.0116147 | + | 0.00926238i | ||||
\(377\) | −7.14775e8 | + | 1.63143e8i | −0.0353838 | + | 0.00807611i | ||||
\(378\) | 1.00810e9 | − | 8.03931e8i | 0.0493782 | − | 0.0393778i | ||||
\(379\) | −8.69298e9 | + | 3.80864e10i | −0.421320 | + | 1.84592i | 0.103390 | + | 0.994641i | \(0.467031\pi\) |
−0.524710 | + | 0.851281i | \(0.675826\pi\) | |||||||
\(380\) | 2.96884e10 | 1.42381 | ||||||||
\(381\) | − | 2.50168e9i | − | 0.118722i | ||||||
\(382\) | −9.50341e8 | + | 4.16372e9i | −0.0446299 | + | 0.195536i | ||||
\(383\) | 1.55814e10 | + | 1.24258e10i | 0.724124 | + | 0.577469i | 0.914666 | − | 0.404210i | \(-0.132453\pi\) |
−0.190543 | + | 0.981679i | \(0.561025\pi\) | |||||||
\(384\) | 1.45364e9 | + | 7.00037e8i | 0.0668548 | + | 0.0321956i | ||||
\(385\) | 2.99716e10 | − | 1.44335e10i | 1.36416 | − | 0.656947i | ||||
\(386\) | − | 8.35279e7i | − | 0.00376255i | ||||||
\(387\) | −2.18437e10 | − | 2.07892e9i | −0.973827 | − | 0.0926816i | ||||
\(388\) | −4.18292e9 | −0.184567 | ||||||||
\(389\) | 1.76441e9 | + | 3.66383e9i | 0.0770549 | + | 0.160006i | 0.935937 | − | 0.352167i | \(-0.114555\pi\) |
−0.858882 | + | 0.512173i | \(0.828841\pi\) | |||||||
\(390\) | −1.27261e7 | + | 2.64261e7i | −0.000550095 | + | 0.00114228i | ||||
\(391\) | −6.26319e9 | + | 7.85379e9i | −0.267972 | + | 0.336026i | ||||
\(392\) | 1.02770e10 | + | 2.34566e9i | 0.435234 | + | 0.0993393i | ||||
\(393\) | −2.37069e9 | −0.0993814 | ||||||||
\(394\) | 5.31870e9i | 0.220709i | ||||||||
\(395\) | 1.91630e10 | + | 4.37383e9i | 0.787182 | + | 0.179669i | ||||
\(396\) | −1.33361e10 | − | 1.67229e10i | −0.542310 | − | 0.680036i | ||||
\(397\) | −1.74716e9 | − | 7.65481e9i | −0.0703349 | − | 0.308157i | 0.927508 | − | 0.373803i | \(-0.121946\pi\) |
−0.997843 | + | 0.0656458i | \(0.979089\pi\) | |||||||
\(398\) | 3.61010e9 | + | 4.52693e9i | 0.143876 | + | 0.180414i | ||||
\(399\) | 3.81326e9 | + | 7.91832e9i | 0.150454 | + | 0.312422i | ||||
\(400\) | 1.71323e8 | − | 7.50613e8i | 0.00669229 | − | 0.0293208i | ||||
\(401\) | 4.43388e10 | − | 2.13524e10i | 1.71477 | − | 0.825791i | 0.724072 | − | 0.689724i | \(-0.242268\pi\) |
0.990700 | − | 0.136066i | \(-0.0434460\pi\) | |||||||
\(402\) | 5.84256e8 | − | 7.32633e8i | 0.0223717 | − | 0.0280532i | ||||
\(403\) | −6.55971e8 | − | 2.87400e9i | −0.0248693 | − | 0.108960i | ||||
\(404\) | −7.17835e9 | − | 3.14504e10i | −0.269463 | − | 1.18060i | ||||
\(405\) | −1.10881e10 | + | 2.30246e10i | −0.412131 | + | 0.855799i | ||||
\(406\) | −2.58972e9 | − | 2.06523e9i | −0.0953122 | − | 0.0760090i | ||||
\(407\) | −1.87859e10 | + | 1.49812e10i | −0.684626 | + | 0.545971i | ||||
\(408\) | −1.47795e9 | − | 7.11741e8i | −0.0533357 | − | 0.0256851i | ||||
\(409\) | 1.99691e9 | − | 4.14663e9i | 0.0713617 | − | 0.148184i | −0.862236 | − | 0.506506i | \(-0.830937\pi\) |
0.933598 | + | 0.358322i | \(0.116651\pi\) | |||||||
\(410\) | −2.65841e9 | − | 3.33354e9i | −0.0940777 | − | 0.117970i | ||||
\(411\) | −3.54734e9 | + | 4.44823e9i | −0.124319 | + | 0.155891i | ||||
\(412\) | 3.53011e10 | + | 1.70001e10i | 1.22518 | + | 0.590016i | ||||
\(413\) | −3.21147e9 | + | 7.32997e8i | −0.110383 | + | 0.0251943i | ||||
\(414\) | 1.02631e9 | − | 2.34249e8i | 0.0349364 | − | 0.00797400i | ||||
\(415\) | −1.25344e10 | − | 9.99584e9i | −0.422582 | − | 0.336998i | ||||
\(416\) | 3.22209e8 | + | 6.69074e8i | 0.0107588 | + | 0.0223409i | ||||
\(417\) | 5.11919e9 | + | 1.16842e9i | 0.169300 | + | 0.0386416i | ||||
\(418\) | −4.66146e9 | + | 2.24484e9i | −0.152692 | + | 0.0735328i | ||||
\(419\) | −1.14877e10 | + | 9.16111e9i | −0.372714 | + | 0.297230i | −0.791876 | − | 0.610682i | \(-0.790895\pi\) |
0.419162 | + | 0.907912i | \(0.362324\pi\) | |||||||
\(420\) | 7.36198e9 | − | 1.68032e9i | 0.236591 | − | 0.0540002i | ||||
\(421\) | 2.07661e10 | − | 1.65604e10i | 0.661039 | − | 0.527161i | −0.234515 | − | 0.972112i | \(-0.575350\pi\) |
0.895555 | + | 0.444951i | \(0.146779\pi\) | |||||||
\(422\) | −8.03461e8 | + | 3.52019e9i | −0.0253346 | + | 0.110998i | ||||
\(423\) | 1.78682e9 | 0.0558110 | ||||||||
\(424\) | 5.77458e9i | 0.178672i | ||||||||
\(425\) | −3.54653e8 | + | 1.55384e9i | −0.0108705 | + | 0.0476266i | ||||
\(426\) | 4.13476e8 | + | 3.29736e8i | 0.0125549 | + | 0.0100122i | ||||
\(427\) | 2.98570e10 | + | 1.43784e10i | 0.898120 | + | 0.432512i | ||||
\(428\) | −9.10908e9 | + | 4.38670e9i | −0.271456 | + | 0.130726i | ||||
\(429\) | 2.91276e8i | 0.00859956i | ||||||||
\(430\) | 3.90276e9 | + | 2.35903e9i | 0.114156 | + | 0.0690016i | ||||
\(431\) | −4.46892e10 | −1.29507 | −0.647535 | − | 0.762035i | \(-0.724200\pi\) | ||||
−0.647535 | + | 0.762035i | \(0.724200\pi\) | |||||||
\(432\) | −4.18414e9 | − | 8.68846e9i | −0.120135 | − | 0.249464i | ||||
\(433\) | −4.94187e8 | + | 1.02619e9i | −0.0140585 | + | 0.0291928i | −0.907880 | − | 0.419230i | \(-0.862300\pi\) |
0.893821 | + | 0.448423i | \(0.148014\pi\) | |||||||
\(434\) | 8.30397e9 | − | 1.04128e10i | 0.234060 | − | 0.293502i | ||||
\(435\) | −2.94789e9 | − | 6.72837e8i | −0.0823293 | − | 0.0187911i | ||||
\(436\) | −3.07677e10 | −0.851431 | ||||||||
\(437\) | 1.45103e10i | 0.397879i | ||||||||
\(438\) | 1.64002e8 | + | 3.74324e7i | 0.00445608 | + | 0.00101707i | ||||
\(439\) | 1.40170e10 | + | 1.75767e10i | 0.377395 | + | 0.473238i | 0.933863 | − | 0.357631i | \(-0.116415\pi\) |
−0.556468 | + | 0.830869i | \(0.687844\pi\) | |||||||
\(440\) | 1.99575e9 | + | 8.74396e9i | 0.0532471 | + | 0.233291i | ||||
\(441\) | −3.95513e10 | − | 4.95957e10i | −1.04570 | − | 1.31126i | ||||
\(442\) | −2.15839e8 | − | 4.48194e8i | −0.00565510 | − | 0.0117429i | ||||
\(443\) | 1.20642e10 | − | 5.28568e10i | 0.313245 | − | 1.37242i | −0.535911 | − | 0.844275i | \(-0.680032\pi\) |
0.849156 | − | 0.528142i | \(-0.177111\pi\) | |||||||
\(444\) | −4.91417e9 | + | 2.36654e9i | −0.126450 | + | 0.0608950i | ||||
\(445\) | −8.57647e9 | + | 1.07545e10i | −0.218710 | + | 0.274253i | ||||
\(446\) | −4.18003e8 | − | 1.83139e9i | −0.0105643 | − | 0.0462851i | ||||
\(447\) | −2.13636e9 | − | 9.36000e9i | −0.0535111 | − | 0.234448i | ||||
\(448\) | 2.58589e10 | − | 5.36965e10i | 0.641944 | − | 1.33301i | ||||
\(449\) | 3.39919e10 | + | 2.71076e10i | 0.836354 | + | 0.666970i | 0.944986 | − | 0.327112i | \(-0.106075\pi\) |
−0.108631 | + | 0.994082i | \(0.534647\pi\) | |||||||
\(450\) | 1.30583e8 | − | 1.04136e8i | 0.00318446 | − | 0.00253953i | ||||
\(451\) | −3.81492e10 | − | 1.83717e10i | −0.922102 | − | 0.444061i | ||||
\(452\) | −2.50370e10 | + | 5.19900e10i | −0.599832 | + | 1.24556i | ||||
\(453\) | −1.05736e9 | − | 1.32589e9i | −0.0251091 | − | 0.0314858i | ||||
\(454\) | −5.26491e9 | + | 6.60199e9i | −0.123927 | + | 0.155400i | ||||
\(455\) | 4.16258e9 | + | 2.00460e9i | 0.0971220 | + | 0.0467715i | ||||
\(456\) | −2.31010e9 | + | 5.27266e8i | −0.0534284 | + | 0.0121947i | ||||
\(457\) | −6.19936e10 | + | 1.41496e10i | −1.42129 | + | 0.324400i | −0.862982 | − | 0.505235i | \(-0.831406\pi\) |
−0.558307 | + | 0.829635i | \(0.688549\pi\) | |||||||
\(458\) | −1.10048e9 | − | 8.77601e8i | −0.0250103 | − | 0.0199450i | ||||
\(459\) | 8.66155e9 | + | 1.79859e10i | 0.195139 | + | 0.405211i | ||||
\(460\) | 1.21548e10 | + | 2.77425e9i | 0.271467 | + | 0.0619605i | ||||
\(461\) | −9.35640e9 | + | 4.50580e9i | −0.207160 | + | 0.0997628i | −0.534587 | − | 0.845114i | \(-0.679533\pi\) |
0.327427 | + | 0.944876i | \(0.393818\pi\) | |||||||
\(462\) | −1.02887e9 | + | 8.20498e8i | −0.0225836 | + | 0.0180098i | ||||
\(463\) | −4.56273e9 | + | 1.04141e9i | −0.0992889 | + | 0.0226620i | −0.271877 | − | 0.962332i | \(-0.587644\pi\) |
0.172588 | + | 0.984994i | \(0.444787\pi\) | |||||||
\(464\) | −1.93685e10 | + | 1.54459e10i | −0.417854 | + | 0.333227i | ||||
\(465\) | 2.70537e9 | − | 1.18530e10i | 0.0578648 | − | 0.253522i | ||||
\(466\) | −4.88423e9 | −0.103574 | ||||||||
\(467\) | 1.71790e10i | 0.361185i | 0.983558 | + | 0.180592i | \(0.0578014\pi\) | ||||
−0.983558 | + | 0.180592i | \(0.942199\pi\) | |||||||
\(468\) | 6.61034e8 | − | 2.89618e9i | 0.0137797 | − | 0.0603729i | ||||
\(469\) | −1.15403e11 | − | 9.20309e10i | −2.38521 | − | 1.90214i | ||||
\(470\) | −3.34583e8 | − | 1.61127e8i | −0.00685665 | − | 0.00330199i | ||||
\(471\) | −2.72877e9 | + | 1.31411e9i | −0.0554477 | + | 0.0267022i | ||||
\(472\) | − | 8.88111e8i | − | 0.0178937i | ||||||
\(473\) | 4.50838e10 | + | 4.29074e9i | 0.900691 | + | 0.0857211i | ||||
\(474\) | −7.77570e8 | −0.0154037 | ||||||||
\(475\) | 9.98887e8 | + | 2.07421e9i | 0.0196219 | + | 0.0407454i | ||||
\(476\) | −5.55685e10 | + | 1.15389e11i | −1.08243 | + | 2.24769i | ||||
\(477\) | 2.16664e10 | − | 2.71688e10i | 0.418517 | − | 0.524804i | ||||
\(478\) | 1.24133e10 | + | 2.83325e9i | 0.237779 | + | 0.0542716i | ||||
\(479\) | 6.82393e10 | 1.29626 | 0.648130 | − | 0.761530i | \(-0.275551\pi\) | ||||
0.648130 | + | 0.761530i | \(0.275551\pi\) | |||||||
\(480\) | 3.06271e9i | 0.0576954i | ||||||||
\(481\) | −3.25345e9 | − | 7.42579e8i | −0.0607804 | − | 0.0138727i | ||||
\(482\) | −3.37283e9 | − | 4.22940e9i | −0.0624894 | − | 0.0783593i | ||||
\(483\) | 8.21264e8 | + | 3.59819e9i | 0.0150902 | + | 0.0661144i | ||||
\(484\) | −6.09973e9 | − | 7.64881e9i | −0.111155 | − | 0.139384i | ||||
\(485\) | −4.57959e9 | − | 9.50961e9i | −0.0827674 | − | 0.171868i | ||||
\(486\) | 7.00834e8 | − | 3.07055e9i | 0.0125623 | − | 0.0550391i | ||||
\(487\) | −2.56413e9 | + | 1.23482e9i | −0.0455852 | + | 0.0219527i | −0.456537 | − | 0.889704i | \(-0.650911\pi\) |
0.410952 | + | 0.911657i | \(0.365196\pi\) | |||||||
\(488\) | −5.57059e9 | + | 6.98530e9i | −0.0982251 | + | 0.123170i | ||||
\(489\) | −1.86800e9 | − | 8.18425e9i | −0.0326694 | − | 0.143134i | ||||
\(490\) | 2.93369e9 | + | 1.28533e10i | 0.0508897 | + | 0.222962i | ||||
\(491\) | −4.27199e10 | + | 8.87087e10i | −0.735028 | + | 1.52630i | 0.111386 | + | 0.993777i | \(0.464471\pi\) |
−0.846414 | + | 0.532525i | \(0.821243\pi\) | |||||||
\(492\) | −7.51469e9 | − | 5.99276e9i | −0.128248 | − | 0.102274i | ||||
\(493\) | 4.00946e10 | − | 3.19743e10i | 0.678731 | − | 0.541270i | ||||
\(494\) | −6.47405e8 | − | 3.11774e8i | −0.0108710 | − | 0.00523518i | ||||
\(495\) | 2.34178e10 | − | 4.86275e10i | 0.390054 | − | 0.809956i | ||||
\(496\) | −6.21054e10 | − | 7.78776e10i | −1.02613 | − | 1.28673i | ||||
\(497\) | 5.19395e10 | − | 6.51300e10i | 0.851279 | − | 1.06747i | ||||
\(498\) | 5.71410e8 | + | 2.75177e8i | 0.00929032 | + | 0.00447398i | ||||
\(499\) | 5.13340e10 | − | 1.17167e10i | 0.827948 | − | 0.188974i | 0.212510 | − | 0.977159i | \(-0.431836\pi\) |
0.615438 | + | 0.788185i | \(0.288979\pi\) | |||||||
\(500\) | −5.88956e10 | + | 1.34425e10i | −0.942329 | + | 0.215080i | ||||
\(501\) | 5.39713e9 | + | 4.30407e9i | 0.0856667 | + | 0.0683169i | ||||
\(502\) | −5.98591e9 | − | 1.24299e10i | −0.0942574 | − | 0.195728i | ||||
\(503\) | 5.81836e10 | + | 1.32800e10i | 0.908926 | + | 0.207456i | 0.651328 | − | 0.758796i | \(-0.274212\pi\) |
0.257597 | + | 0.966252i | \(0.417069\pi\) | |||||||
\(504\) | 2.43966e10 | − | 1.17488e10i | 0.378101 | − | 0.182084i | ||||
\(505\) | 6.36415e10 | − | 5.07524e10i | 0.978531 | − | 0.780353i | ||||
\(506\) | −2.11823e9 | + | 4.83473e8i | −0.0323126 | + | 0.00737514i | ||||
\(507\) | 7.59096e9 | − | 6.05359e9i | 0.114885 | − | 0.0916180i | ||||
\(508\) | 1.17178e10 | − | 5.13389e10i | 0.175950 | − | 0.770888i | ||||
\(509\) | −9.43063e10 | −1.40498 | −0.702489 | − | 0.711695i | \(-0.747928\pi\) | ||||
−0.702489 | + | 0.711695i | \(0.747928\pi\) | |||||||
\(510\) | − | 2.05162e9i | − | 0.0303261i | ||||||
\(511\) | 5.89628e9 | − | 2.58333e10i | 0.0864759 | − | 0.378875i | ||||
\(512\) | 3.28884e10 | + | 2.62276e10i | 0.478589 | + | 0.381662i | ||||
\(513\) | 2.59802e10 | + | 1.25114e10i | 0.375122 | + | 0.180649i | ||||
\(514\) | −1.61315e10 | + | 7.76853e9i | −0.231112 | + | 0.111298i | ||||
\(515\) | 9.88672e10i | 1.40548i | ||||||||
\(516\) | 9.76062e9 | + | 3.22684e9i | 0.137682 | + | 0.0455175i | ||||
\(517\) | −3.68788e9 | −0.0516195 | ||||||||
\(518\) | −6.54165e9 | − | 1.35839e10i | −0.0908591 | − | 0.188671i | ||||
\(519\) | 7.96228e9 | − | 1.65338e10i | 0.109741 | − | 0.227879i | ||||
\(520\) | −7.76638e8 | + | 9.73873e8i | −0.0106220 | + | 0.0133195i | ||||
\(521\) | −5.25323e10 | − | 1.19901e10i | −0.712977 | − | 0.162732i | −0.149377 | − | 0.988780i | \(-0.547727\pi\) |
−0.563600 | + | 0.826048i | \(0.690584\pi\) | |||||||
\(522\) | −5.37418e9 | −0.0723820 | ||||||||
\(523\) | 8.20563e10i | 1.09674i | 0.836234 | + | 0.548372i | \(0.184752\pi\) | ||||
−0.836234 | + | 0.548372i | \(0.815248\pi\) | |||||||
\(524\) | −4.86508e10 | − | 1.11042e10i | −0.645305 | − | 0.147287i | ||||
\(525\) | 3.65097e8 | + | 4.57817e8i | 0.00480586 | + | 0.00602635i | ||||
\(526\) | −1.57912e9 | − | 6.91856e9i | −0.0206287 | − | 0.0903801i | ||||
\(527\) | 1.28564e11 | + | 1.61214e11i | 1.66677 | + | 2.09006i | ||||
\(528\) | 4.27036e9 | + | 8.86750e9i | 0.0549451 | + | 0.114095i | ||||
\(529\) | 1.60699e10 | − | 7.04069e10i | 0.205206 | − | 0.899068i | ||||
\(530\) | −6.50698e9 | + | 3.13360e9i | −0.0824662 | + | 0.0397137i | ||||
\(531\) | −3.33222e9 | + | 4.17847e9i | −0.0419136 | + | 0.0525580i | ||||
\(532\) | 4.11658e10 | + | 1.80359e11i | 0.513913 | + | 2.25160i | ||||
\(533\) | −1.30858e9 | − | 5.73326e9i | −0.0162140 | − | 0.0710383i | ||||
\(534\) | 2.36103e8 | − | 4.90272e8i | 0.00290359 | − | 0.00602937i | ||||
\(535\) | −1.99458e10 | − | 1.59062e10i | −0.243465 | − | 0.194157i | ||||
\(536\) | 3.11138e10 | − | 2.48124e10i | 0.376959 | − | 0.300615i | ||||
\(537\) | −5.32309e9 | − | 2.56347e9i | −0.0640128 | − | 0.0308270i | ||||
\(538\) | 2.34235e8 | − | 4.86394e8i | 0.00279591 | − | 0.00580577i | ||||
\(539\) | 8.16311e10 | + | 1.02362e11i | 0.967165 | + | 1.21279i | ||||
\(540\) | 1.54476e10 | − | 1.93707e10i | 0.181671 | − | 0.227808i | ||||
\(541\) | −3.03728e10 | − | 1.46267e10i | −0.354564 | − | 0.170749i | 0.248119 | − | 0.968730i | \(-0.420188\pi\) |
−0.602684 | + | 0.797980i | \(0.705902\pi\) | |||||||
\(542\) | 8.04498e9 | − | 1.83621e9i | 0.0932240 | − | 0.0212778i | ||||
\(543\) | 1.20370e10 | − | 2.74737e9i | 0.138459 | − | 0.0316023i | ||||
\(544\) | −4.06119e10 | − | 3.23869e10i | −0.463722 | − | 0.369806i | ||||
\(545\) | −3.36854e10 | − | 6.99485e10i | −0.381817 | − | 0.792852i | ||||
\(546\) | −1.78186e8 | − | 4.06699e7i | −0.00200495 | − | 0.000457617i | ||||
\(547\) | 1.45683e11 | − | 7.01570e10i | 1.62727 | − | 0.783650i | 0.627277 | − | 0.778796i | \(-0.284169\pi\) |
0.999988 | − | 0.00485369i | \(-0.00154498\pi\) | |||||||
\(548\) | −9.36331e10 | + | 7.46699e10i | −1.03826 | + | 0.827987i | ||||
\(549\) | 5.24181e10 | − | 1.19641e10i | 0.577022 | − | 0.131701i | ||||
\(550\) | −2.69514e8 | + | 2.14930e8i | −0.00294531 | + | 0.00234880i | ||||
\(551\) | 1.64836e10 | − | 7.22196e10i | 0.178833 | − | 0.783517i | ||||
\(552\) | −9.95057e8 | −0.0107175 | ||||||||
\(553\) | 1.22481e11i | 1.30969i | ||||||||
\(554\) | 1.24048e9 | − | 5.43491e9i | 0.0131690 | − | 0.0576971i | ||||
\(555\) | −1.07604e10 | − | 8.58110e9i | −0.113411 | − | 0.0904421i | ||||
\(556\) | 9.95821e10 | + | 4.79562e10i | 1.04203 | + | 0.501817i | ||||
\(557\) | 1.31480e11 | − | 6.33173e10i | 1.36596 | − | 0.657811i | 0.400002 | − | 0.916514i | \(-0.369009\pi\) |
0.965957 | + | 0.258703i | \(0.0832950\pi\) | |||||||
\(558\) | − | 2.16087e10i | − | 0.222891i | ||||||
\(559\) | 3.43804e9 | + | 5.26694e9i | 0.0352098 | + | 0.0539400i | ||||
\(560\) | 1.56113e11 | 1.58740 | ||||||||
\(561\) | −8.84003e9 | − | 1.83565e10i | −0.0892488 | − | 0.185327i | ||||
\(562\) | −8.73357e8 | + | 1.81355e9i | −0.00875481 | + | 0.0181796i | ||||
\(563\) | −4.84649e10 | + | 6.07730e10i | −0.482384 | + | 0.604891i | −0.962155 | − | 0.272503i | \(-0.912149\pi\) |
0.479770 | + | 0.877394i | \(0.340720\pi\) | |||||||
\(564\) | −8.16152e8 | − | 1.86281e8i | −0.00806593 | − | 0.00184100i | ||||
\(565\) | −1.45607e11 | −1.42886 | ||||||||
\(566\) | 1.67415e10i | 0.163128i | ||||||||
\(567\) | −1.55251e11 | − | 3.54350e10i | −1.50211 | − | 0.342846i | ||||
\(568\) | 1.40034e10 | + | 1.75597e10i | 0.134536 | + | 0.168703i | ||||
\(569\) | −3.93193e9 | − | 1.72269e10i | −0.0375109 | − | 0.164346i | 0.952703 | − | 0.303902i | \(-0.0982896\pi\) |
−0.990214 | + | 0.139556i | \(0.955432\pi\) | |||||||
\(570\) | −1.84773e9 | − | 2.31697e9i | −0.0175040 | − | 0.0219494i | ||||
\(571\) | −4.58575e10 | − | 9.52242e10i | −0.431386 | − | 0.895783i | −0.997446 | − | 0.0714189i | \(-0.977247\pi\) |
0.566060 | − | 0.824364i | \(-0.308467\pi\) | |||||||
\(572\) | −1.36433e9 | + | 5.97751e9i | −0.0127448 | + | 0.0558388i | ||||
\(573\) | −2.18875e10 | + | 1.05405e10i | −0.203038 | + | 0.0977781i | ||||
\(574\) | 1.65654e10 | − | 2.07723e10i | 0.152600 | − | 0.191354i | ||||
\(575\) | 2.15131e8 | + | 9.42550e8i | 0.00196803 | + | 0.00862250i | ||||
\(576\) | −2.15169e10 | − | 9.42717e10i | −0.195474 | − | 0.856429i | ||||
\(577\) | 3.74335e10 | − | 7.77316e10i | 0.337721 | − | 0.701284i | −0.661076 | − | 0.750319i | \(-0.729900\pi\) |
0.998797 | + | 0.0490344i | \(0.0156144\pi\) | |||||||
\(578\) | 1.57452e10 | + | 1.25563e10i | 0.141070 | + | 0.112500i | ||||
\(579\) | 3.71469e8 | − | 2.96237e8i | 0.00330528 | − | 0.00263587i | ||||
\(580\) | −5.73444e10 | − | 2.76156e10i | −0.506733 | − | 0.244030i | ||||
\(581\) | 4.33453e10 | − | 9.00075e10i | 0.380398 | − | 0.789904i | ||||
\(582\) | 2.60334e8 | + | 3.26449e8i | 0.00226902 | + | 0.00284527i | ||||
\(583\) | −4.47179e10 | + | 5.60745e10i | −0.387086 | + | 0.485391i | ||||
\(584\) | 6.43655e9 | + | 3.09968e9i | 0.0553353 | + | 0.0266481i | ||||
\(585\) | 7.30800e9 | − | 1.66800e9i | 0.0623986 | − | 0.0142421i | ||||
\(586\) | −2.98975e9 | + | 6.82391e8i | −0.0253539 | + | 0.00578685i | ||||
\(587\) | 5.38668e10 | + | 4.29573e10i | 0.453700 | + | 0.361814i | 0.823518 | − | 0.567291i | \(-0.192008\pi\) |
−0.369818 | + | 0.929104i | \(0.620580\pi\) | |||||||
\(588\) | 1.28950e10 | + | 2.67768e10i | 0.107873 | + | 0.224001i | ||||
\(589\) | 2.90383e11 | + | 6.62781e10i | 2.41274 | + | 0.550692i | ||||
\(590\) | 1.00075e9 | − | 4.81937e8i | 0.00825882 | − | 0.00397724i | ||||
\(591\) | −2.36536e10 | + | 1.88631e10i | −0.193886 | + | 0.154619i | ||||
\(592\) | −1.09934e11 | + | 2.50916e10i | −0.895042 | + | 0.204287i | ||||
\(593\) | −1.13445e11 | + | 9.04690e10i | −0.917413 | + | 0.731612i | −0.963608 | − | 0.267320i | \(-0.913862\pi\) |
0.0461950 | + | 0.998932i | \(0.485290\pi\) | |||||||
\(594\) | −9.60789e8 | + | 4.20949e9i | −0.00771760 | + | 0.0338130i | ||||
\(595\) | −3.23168e11 | −2.57846 | ||||||||
\(596\) | − | 2.02090e11i | − | 1.60162i | ||||||
\(597\) | −7.32891e9 | + | 3.21100e10i | −0.0576955 | + | 0.252781i | ||||
\(598\) | −2.35922e8 | − | 1.88141e8i | −0.00184486 | − | 0.00147123i | ||||
\(599\) | 1.31920e10 | + | 6.35292e9i | 0.102471 | + | 0.0493476i | 0.484417 | − | 0.874837i | \(-0.339032\pi\) |
−0.381946 | + | 0.924185i | \(0.624746\pi\) | |||||||
\(600\) | −1.42241e8 | + | 6.84996e7i | −0.00109754 | + | 0.000528546i | ||||
\(601\) | 3.78059e10i | 0.289775i | 0.989448 | + | 0.144888i | \(0.0462821\pi\) | ||||
−0.989448 | + | 0.144888i | \(0.953718\pi\) | |||||||
\(602\) | −8.91972e9 | + | 2.69806e10i | −0.0679149 | + | 0.205431i | ||||
\(603\) | −2.39484e11 | −1.81137 | ||||||||
\(604\) | −1.54885e10 | − | 3.21622e10i | −0.116376 | − | 0.241657i | ||||
\(605\) | 1.07109e10 | − | 2.22415e10i | 0.0799477 | − | 0.166013i | ||||
\(606\) | −2.00773e9 | + | 2.51761e9i | −0.0148872 | + | 0.0186680i | ||||
\(607\) | 9.64170e9 | + | 2.20066e9i | 0.0710230 | + | 0.0162105i | 0.257885 | − | 0.966176i | \(-0.416975\pi\) |
−0.186862 | + | 0.982386i | \(0.559832\pi\) | |||||||
\(608\) | −7.50326e10 | −0.549080 | ||||||||
\(609\) | − | 1.88416e10i | − | 0.136977i | ||||||
\(610\) | −1.08942e10 | − | 2.48652e9i | −0.0786818 | − | 0.0179586i | ||||
\(611\) | −3.19344e8 | − | 4.00445e8i | −0.00229137 | − | 0.00287328i | ||||
\(612\) | 4.62380e10 | + | 2.02582e11i | 0.329605 | + | 1.44409i | ||||
\(613\) | 9.32506e10 | + | 1.16933e11i | 0.660404 | + | 0.828120i | 0.993387 | − | 0.114812i | \(-0.0366267\pi\) |
−0.332983 | + | 0.942933i | \(0.608055\pi\) | |||||||
\(614\) | −9.59111e9 | − | 1.99161e10i | −0.0674832 | − | 0.140130i | ||||
\(615\) | 5.39687e9 | − | 2.36452e10i | 0.0377260 | − | 0.165289i | ||||
\(616\) | −5.03529e10 | + | 2.42487e10i | −0.349705 | + | 0.168409i | ||||
\(617\) | −1.48583e10 | + | 1.86318e10i | −0.102525 | + | 0.128562i | −0.830447 | − | 0.557098i | \(-0.811915\pi\) |
0.727922 | + | 0.685660i | \(0.240486\pi\) | |||||||
\(618\) | −8.70305e8 | − | 3.81306e9i | −0.00596647 | − | 0.0261408i | ||||
\(619\) | 3.21364e9 | + | 1.40799e10i | 0.0218895 | + | 0.0959040i | 0.984693 | − | 0.174300i | \(-0.0557661\pi\) |
−0.962803 | + | 0.270204i | \(0.912909\pi\) | |||||||
\(620\) | 1.11038e11 | − | 2.30573e11i | 0.751458 | − | 1.56042i | ||||
\(621\) | 9.46748e9 | + | 7.55006e9i | 0.0636602 | + | 0.0507673i | ||||
\(622\) | −1.00333e10 | + | 8.00127e9i | −0.0670319 | + | 0.0534561i | ||||
\(623\) | −7.72268e10 | − | 3.71904e10i | −0.512644 | − | 0.246876i | ||||
\(624\) | −5.93087e8 | + | 1.23156e9i | −0.00391183 | + | 0.00812300i | ||||
\(625\) | −9.80578e10 | − | 1.22961e11i | −0.642631 | − | 0.805834i | ||||
\(626\) | 2.14795e10 | − | 2.69344e10i | 0.139871 | − | 0.175392i | ||||
\(627\) | −2.65155e10 | − | 1.27692e10i | −0.171566 | − | 0.0826217i | ||||
\(628\) | −6.21545e10 | + | 1.41864e10i | −0.399608 | + | 0.0912079i | ||||
\(629\) | 2.27572e11 | − | 5.19419e10i | 1.45384 | − | 0.331830i | ||||
\(630\) | 2.64778e10 | + | 2.11153e10i | 0.168081 | + | 0.134040i | ||||
\(631\) | 4.62451e10 | + | 9.60290e10i | 0.291708 | + | 0.605738i | 0.994391 | − | 0.105765i | \(-0.0337291\pi\) |
−0.702683 | + | 0.711503i | \(0.748015\pi\) | |||||||
\(632\) | −3.21943e10 | − | 7.34813e9i | −0.201795 | − | 0.0460584i | ||||
\(633\) | −1.85047e10 | + | 8.91138e9i | −0.115257 | + | 0.0555048i | ||||
\(634\) | −1.79731e10 | + | 1.43330e10i | −0.111241 | + | 0.0887117i | ||||
\(635\) | 1.29545e11 | − | 2.95677e10i | 0.796754 | − | 0.181854i | ||||
\(636\) | −1.27288e10 | + | 1.01509e10i | −0.0777964 | + | 0.0620406i | ||||
\(637\) | −4.04623e9 | + | 1.77277e10i | −0.0245750 | + | 0.107670i | ||||
\(638\) | 1.10919e10 | 0.0669460 | ||||||||
\(639\) | − | 1.35158e11i | − | 0.810658i | ||||||
\(640\) | −1.90693e10 | + | 8.35480e10i | −0.113662 | + | 0.497985i | ||||
\(641\) | −2.48835e11 | − | 1.98439e11i | −1.47394 | − | 1.17543i | −0.945133 | − | 0.326685i | \(-0.894068\pi\) |
−0.528806 | − | 0.848743i | \(-0.677360\pi\) | |||||||
\(642\) | 9.09277e8 | + | 4.37885e8i | 0.00535249 | + | 0.00257762i | ||||
\(643\) | −8.27322e10 | + | 3.98417e10i | −0.483984 | + | 0.233074i | −0.659932 | − | 0.751325i | \(-0.729415\pi\) |
0.175948 | + | 0.984399i | \(0.443701\pi\) | |||||||
\(644\) | 7.76881e10i | 0.451659i | ||||||||
\(645\) | 3.35021e9 | + | 2.57230e10i | 0.0193568 | + | 0.148622i | ||||
\(646\) | 5.02622e10 | 0.288610 | ||||||||
\(647\) | 1.05242e11 | + | 2.18538e11i | 0.600584 | + | 1.24713i | 0.950611 | + | 0.310386i | \(0.100458\pi\) |
−0.350027 | + | 0.936740i | \(0.613828\pi\) | |||||||
\(648\) | 1.86282e10 | − | 3.86818e10i | 0.105650 | − | 0.219385i | ||||
\(649\) | 6.87747e9 | − | 8.62407e9i | 0.0387659 | − | 0.0486109i | ||||
\(650\) | −4.66761e7 | − | 1.06535e7i | −0.000261481 | − | 5.96814e-5i | ||||
\(651\) | 7.57590e10 | 0.421804 | ||||||||
\(652\) | − | 1.76705e11i | − | 0.977819i | ||||||
\(653\) | 9.90927e10 | + | 2.26173e10i | 0.544991 | + | 0.124391i | 0.486148 | − | 0.873877i | \(-0.338402\pi\) |
0.0588431 | + | 0.998267i | \(0.481259\pi\) | |||||||
\(654\) | 1.91490e9 | + | 2.40121e9i | 0.0104673 | + | 0.0131256i | ||||
\(655\) | −2.80196e10 | − | 1.22762e11i | −0.152229 | − | 0.666957i | ||||
\(656\) | −1.23892e11 | − | 1.55356e11i | −0.669005 | − | 0.838905i | ||||
\(657\) | −1.86532e10 | − | 3.87338e10i | −0.100113 | − | 0.207888i | ||||
\(658\) | 5.14924e8 | − | 2.25603e9i | 0.00274688 | − | 0.0120349i | ||||
\(659\) | −1.99453e11 | + | 9.60516e10i | −1.05755 | + | 0.509287i | −0.880073 | − | 0.474838i | \(-0.842507\pi\) |
−0.177473 | + | 0.984126i | \(0.556792\pi\) | |||||||
\(660\) | −1.57659e10 | + | 1.97698e10i | −0.0830890 | + | 0.104190i | ||||
\(661\) | 1.91406e10 | + | 8.38604e10i | 0.100265 | + | 0.439290i | 0.999996 | + | 0.00284469i | \(0.000905494\pi\) |
−0.899731 | + | 0.436445i | \(0.856237\pi\) | |||||||
\(662\) | 3.38185e9 | + | 1.48169e10i | 0.0176085 | + | 0.0771479i | ||||
\(663\) | 1.22774e9 | − | 2.54944e9i | 0.00635409 | − | 0.0131944i | ||||
\(664\) | 2.10580e10 | + | 1.67932e10i | 0.108329 | + | 0.0863897i | ||||
\(665\) | −3.64966e11 | + | 2.91050e11i | −1.86623 | + | 1.48827i | ||||
\(666\) | −2.20393e10 | − | 1.06135e10i | −0.112021 | − | 0.0539465i | ||||
\(667\) | 1.34972e10 | − | 2.80273e10i | 0.0681932 | − | 0.141605i | ||||
\(668\) | 9.05986e10 | + | 1.13607e11i | 0.455004 | + | 0.570557i | ||||
\(669\) | 6.66217e9 | − | 8.35410e9i | 0.0332592 | − | 0.0417057i | ||||
\(670\) | 4.48435e10 | + | 2.15955e10i | 0.222536 | + | 0.107168i | ||||
\(671\) | −1.08187e11 | + | 2.46931e10i | −0.533687 | + | 0.121811i | ||||
\(672\) | −1.86062e10 | + | 4.24675e9i | −0.0912391 | + | 0.0208247i | ||||
\(673\) | −4.99761e10 | − | 3.98546e10i | −0.243614 | − | 0.194276i | 0.494069 | − | 0.869422i | \(-0.335509\pi\) |
−0.737683 | + | 0.675147i | \(0.764080\pi\) | |||||||
\(674\) | 5.35044e9 | + | 1.11103e10i | 0.0259268 | + | 0.0538376i | ||||
\(675\) | 1.87310e9 | + | 4.27522e8i | 0.00902288 | + | 0.00205941i | ||||
\(676\) | 1.84135e11 | − | 8.86746e10i | 0.881757 | − | 0.424632i | ||||
\(677\) | 4.06107e10 | − | 3.23859e10i | 0.193324 | − | 0.154171i | −0.522044 | − | 0.852918i | \(-0.674830\pi\) |
0.715368 | + | 0.698748i | \(0.246259\pi\) | |||||||
\(678\) | 5.61570e9 | − | 1.28175e9i | 0.0265757 | − | 0.00606574i | ||||
\(679\) | 5.14216e10 | − | 4.10073e10i | 0.241917 | − | 0.192922i | ||||
\(680\) | 1.93881e10 | − | 8.49448e10i | 0.0906775 | − | 0.397284i | ||||
\(681\) | −4.80330e10 | −0.223332 | ||||||||
\(682\) | 4.45989e10i | 0.206151i | ||||||||
\(683\) | 4.69879e10 | − | 2.05867e11i | 0.215925 | − | 0.946029i | −0.744529 | − | 0.667590i | \(-0.767326\pi\) |
0.960454 | − | 0.278439i | \(-0.0898170\pi\) | |||||||
\(684\) | 2.34667e11 | + | 1.87140e11i | 1.07208 | + | 0.854955i | ||||
\(685\) | −2.72270e11 | − | 1.31118e11i | −1.23662 | − | 0.595526i | ||||
\(686\) | −3.08458e10 | + | 1.48546e10i | −0.139284 | + | 0.0670755i | ||||
\(687\) | − | 8.00656e9i | − | 0.0359434i | ||||||
\(688\) | 1.81884e11 | + | 1.09940e11i | 0.811785 | + | 0.490684i | ||||
\(689\) | −9.96108e9 | −0.0442007 | ||||||||
\(690\) | −5.39971e8 | − | 1.12126e9i | −0.00238218 | − | 0.00494664i | ||||
\(691\) | 1.26539e11 | − | 2.62762e11i | 0.555026 | − | 1.15252i | −0.415067 | − | 0.909791i | \(-0.636242\pi\) |
0.970093 | − | 0.242733i | \(-0.0780439\pi\) | |||||||
\(692\) | 2.40844e11 | − | 3.02009e11i | 1.05030 | − | 1.31703i | ||||
\(693\) | 3.27887e11 | + | 7.48380e10i | 1.42164 | + | 0.324481i | ||||
\(694\) | −2.39454e10 | −0.103225 | ||||||||
\(695\) | 2.78897e11i | 1.19538i | ||||||||
\(696\) | 4.95252e9 | + | 1.13038e9i | 0.0211052 | + | 0.00481712i | ||||
\(697\) | 2.56468e11 | + | 3.21601e11i | 1.08668 | + | 1.36266i | ||||
\(698\) | 2.34073e9 | + | 1.02554e10i | 0.00986118 | + | 0.0432047i | ||||
\(699\) | −1.73222e10 | − | 2.17214e10i | −0.0725596 | − | 0.0909868i | ||||
\(700\) | 5.34804e9 | + | 1.11053e10i | 0.0222742 | + | 0.0462529i | ||||
\(701\) | 9.90954e9 | − | 4.34165e10i | 0.0410376 | − | 0.179797i | −0.950255 | − | 0.311472i | \(-0.899178\pi\) |
0.991293 | + | 0.131674i | \(0.0420353\pi\) | |||||||
\(702\) | −5.40282e8 | + | 2.60186e8i | −0.00222470 | + | 0.00107136i | ||||
\(703\) | 2.10226e11 | − | 2.63615e11i | 0.860726 | − | 1.07932i | ||||
\(704\) | 4.44094e10 | + | 1.94570e11i | 0.180794 | + | 0.792110i | ||||
\(705\) | −4.70048e8 | − | 2.05942e9i | −0.00190277 | − | 0.00833658i | ||||
\(706\) | −1.35616e10 | + | 2.81609e10i | −0.0545872 | + | 0.113352i | ||||
\(707\) | 3.96569e11 | + | 3.16254e11i | 1.58724 | + | 1.26578i | ||||
\(708\) | 1.95765e9 | − | 1.56117e9i | 0.00779115 | − | 0.00621323i | ||||
\(709\) | 2.33677e10 | + | 1.12533e10i | 0.0924764 | + | 0.0445343i | 0.479550 | − | 0.877514i | \(-0.340800\pi\) |
−0.387074 | + | 0.922049i | \(0.626514\pi\) | |||||||
\(710\) | −1.21878e10 | + | 2.53083e10i | −0.0479616 | + | 0.0995932i | ||||
\(711\) | 1.23900e11 | + | 1.55366e11i | 0.484835 | + | 0.607964i | ||||
\(712\) | 1.44086e10 | − | 1.80679e10i | 0.0560665 | − | 0.0703051i | ||||
\(713\) | 1.12693e11 | + | 5.42702e10i | 0.436053 | + | 0.209992i | ||||
\(714\) | 1.24638e10 | − | 2.84477e9i | 0.0479575 | − | 0.0109460i | ||||
\(715\) | −1.50832e10 | + | 3.44264e9i | −0.0577124 | + | 0.0131725i | ||||
\(716\) | −9.72322e10 | − | 7.75401e10i | −0.369963 | − | 0.295035i | ||||
\(717\) | 3.14242e10 | + | 6.52531e10i | 0.118902 | + | 0.246902i | ||||
\(718\) | −2.77879e9 | − | 6.34240e8i | −0.0104558 | − | 0.00238647i | ||||
\(719\) | −4.80951e11 | + | 2.31614e11i | −1.79964 | + | 0.866659i | −0.877899 | + | 0.478845i | \(0.841055\pi\) |
−0.921738 | + | 0.387814i | \(0.873230\pi\) | |||||||
\(720\) | 1.98027e11 | − | 1.57922e11i | 0.736878 | − | 0.587640i | ||||
\(721\) | −6.00625e11 | + | 1.37089e11i | −2.22261 | + | 0.507296i | ||||
\(722\) | 2.88628e10 | − | 2.30173e10i | 0.106216 | − | 0.0847044i | ||||
\(723\) | 6.84722e9 | − | 2.99996e10i | 0.0250588 | − | 0.109790i | ||||
\(724\) | 2.59890e11 | 0.945878 | ||||||||
\(725\) | − | 4.93558e9i | − | 0.0178643i | ||||||
\(726\) | −2.17307e8 | + | 9.52084e8i | −0.000782216 | + | 0.00342711i | ||||
\(727\) | 9.22460e10 | + | 7.35637e10i | 0.330225 | + | 0.263346i | 0.774540 | − | 0.632525i | \(-0.217981\pi\) |
−0.444315 | + | 0.895871i | \(0.646553\pi\) | |||||||
\(728\) | −6.99323e9 | − | 3.36776e9i | −0.0248973 | − | 0.0119899i | ||||
\(729\) | −2.21819e11 | + | 1.06822e11i | −0.785395 | + | 0.378226i | ||||
\(730\) | 8.93496e9i | 0.0314631i | ||||||||
\(731\) | −3.76516e11 | − | 2.27586e11i | −1.31860 | − | 0.797031i | ||||
\(732\) | −2.51899e10 | −0.0877368 | ||||||||
\(733\) | 1.39664e11 | + | 2.90016e11i | 0.483804 | + | 1.00463i | 0.989849 | + | 0.142122i | \(0.0453926\pi\) |
−0.506045 | + | 0.862507i | \(0.668893\pi\) | |||||||
\(734\) | 6.15392e9 | − | 1.27788e10i | 0.0212016 | − | 0.0440255i | ||||
\(735\) | −4.67575e10 | + | 5.86320e10i | −0.160214 | + | 0.200903i | ||||
\(736\) | −3.07193e10 | − | 7.01148e9i | −0.104689 | − | 0.0238945i | ||||
\(737\) | 4.94279e11 | 1.67534 | ||||||||
\(738\) | − | 4.31067e10i | − | 0.145318i | ||||||
\(739\) | 6.48514e10 | + | 1.48019e10i | 0.217441 | + | 0.0496295i | 0.329854 | − | 0.944032i | \(-0.393001\pi\) |
−0.112412 | + | 0.993662i | \(0.535858\pi\) | |||||||
\(740\) | −1.80628e11 | − | 2.26500e11i | −0.602363 | − | 0.755339i | ||||
\(741\) | −9.09526e8 | − | 3.98490e9i | −0.00301677 | − | 0.0132173i | ||||
\(742\) | −2.80594e10 | − | 3.51854e10i | −0.0925684 | − | 0.116077i | ||||
\(743\) | −1.01384e11 | − | 2.10525e11i | −0.332669 | − | 0.690794i | 0.665799 | − | 0.746131i | \(-0.268091\pi\) |
−0.998468 | + | 0.0553373i | \(0.982377\pi\) | |||||||
\(744\) | −4.54508e9 | + | 1.99133e10i | −0.0148337 | + | 0.0649907i | ||||
\(745\) | 4.59440e11 | − | 2.21255e11i | 1.49143 | − | 0.718236i | ||||
\(746\) | −7.34578e9 | + | 9.21132e9i | −0.0237183 | + | 0.0297417i | ||||
\(747\) | −3.60672e10 | − | 1.58021e11i | −0.115832 | − | 0.507495i | ||||
\(748\) | −9.54320e10 | − | 4.18115e11i | −0.304851 | − | 1.33564i | ||||
\(749\) | 6.89748e10 | − | 1.43228e11i | 0.219161 | − | 0.455092i | ||||
\(750\) | 4.71460e9 | + | 3.75977e9i | 0.0149005 | + | 0.0118827i | ||||
\(751\) | −3.89312e10 | + | 3.10466e10i | −0.122388 | + | 0.0976011i | −0.682771 | − | 0.730632i | \(-0.739225\pi\) |
0.560383 | + | 0.828234i | \(0.310654\pi\) | |||||||
\(752\) | −1.55929e10 | − | 7.50913e9i | −0.0487590 | − | 0.0234811i | ||||
\(753\) | 3.40493e10 | − | 7.07042e10i | 0.105908 | − | 0.219920i | ||||
\(754\) | 9.60485e8 | + | 1.20441e9i | 0.00297170 | + | 0.00372639i | ||||
\(755\) | 5.61616e10 | − | 7.04244e10i | 0.172843 | − | 0.216738i | ||||
\(756\) | 1.39098e11 | + | 6.69859e10i | 0.425827 | + | 0.205067i | ||||
\(757\) | −4.52203e11 | + | 1.03212e11i | −1.37705 | + | 0.314303i | −0.846066 | − | 0.533079i | \(-0.821035\pi\) |
−0.530984 | + | 0.847382i | \(0.678178\pi\) | |||||||
\(758\) | 8.00266e10 | − | 1.82655e10i | 0.242414 | − | 0.0553294i | ||||
\(759\) | −9.66257e9 | − | 7.70564e9i | −0.0291156 | − | 0.0232189i | ||||
\(760\) | −5.46070e10 | − | 1.13393e11i | −0.163679 | − | 0.339884i | ||||
\(761\) | −4.07100e11 | − | 9.29180e10i | −1.21384 | − | 0.277052i | −0.432778 | − | 0.901501i | \(-0.642466\pi\) |
−0.781066 | + | 0.624449i | \(0.785324\pi\) | |||||||
\(762\) | −4.73593e9 | + | 2.28070e9i | −0.0140471 | + | 0.00676470i | ||||
\(763\) | 3.78234e11 | − | 3.01632e11i | 1.11600 | − | 0.889977i | ||||
\(764\) | −4.98542e11 | + | 1.13789e11i | −1.46328 | + | 0.333985i | ||||
\(765\) | −4.09935e11 | + | 3.26912e11i | −1.19693 | + | 0.954520i | ||||
\(766\) | 9.31815e9 | − | 4.08255e10i | 0.0270654 | − | 0.118581i | ||||
\(767\) | 1.53198e9 | 0.00442661 | ||||||||
\(768\) | 4.27078e10i | 0.122762i | ||||||||
\(769\) | −2.11537e10 | + | 9.26803e10i | −0.0604895 | + | 0.265022i | −0.996125 | − | 0.0879449i | \(-0.971970\pi\) |
0.935636 | + | 0.352967i | \(0.114827\pi\) | |||||||
\(770\) | −5.46483e10 | − | 4.35806e10i | −0.155458 | − | 0.123974i | ||||
\(771\) | −9.17599e10 | − | 4.41893e10i | −0.259678 | − | 0.125054i | ||||
\(772\) | 9.01077e9 | − | 4.33936e9i | 0.0253684 | − | 0.0122168i | ||||
\(773\) | − | 1.09479e11i | − | 0.306628i | −0.988177 | − | 0.153314i | \(-0.951005\pi\) | ||
0.988177 | − | 0.153314i | \(-0.0489947\pi\) | |||||||
\(774\) | 1.59786e10 | + | 4.32476e10i | 0.0445220 | + | 0.120503i | ||||
\(775\) | 1.98452e10 | 0.0550108 | ||||||||
\(776\) | 7.69381e9 | + | 1.59764e10i | 0.0212175 | + | 0.0440586i | ||||
\(777\) | 3.72105e10 | − | 7.72684e10i | 0.102090 | − | 0.211991i | ||||
\(778\) | 5.32745e9 | − | 6.68040e9i | 0.0145412 | − | 0.0182341i | ||||
\(779\) | 5.79278e11 | + | 1.32216e11i | 1.57303 | + | 0.359034i | ||||
\(780\) | −3.51191e9 | −0.00948779 | ||||||||
\(781\) | 2.78956e11i | 0.749776i | ||||||||
\(782\) | 2.05780e10 | + | 4.69679e9i | 0.0550270 | + | 0.0125596i | ||||
\(783\) | −3.85440e10 | − | 4.83326e10i | −0.102544 | − | 0.128586i | ||||
\(784\) | 1.36722e11 | + | 5.99016e11i | 0.361887 | + | 1.58553i | ||||
\(785\) | −1.00300e11 | − | 1.25773e11i | −0.264134 | − | 0.331213i | ||||
\(786\) | 2.16129e9 | + | 4.48796e9i | 0.00566269 | + | 0.0117587i | ||||
\(787\) | −1.10954e11 | + | 4.86123e11i | −0.289232 | + | 1.26721i | 0.596351 | + | 0.802724i | \(0.296617\pi\) |
−0.885582 | + | 0.464483i | \(0.846240\pi\) | |||||||
\(788\) | −5.73767e11 | + | 2.76312e11i | −1.48810 | + | 0.716629i | ||||
\(789\) | 2.51681e10 | − | 3.15598e10i | 0.0649446 | − | 0.0814379i | ||||
\(790\) | −9.19022e9 | − | 4.02650e10i | −0.0235949 | − | 0.103376i | ||||
\(791\) | −2.01898e11 | − | 8.84575e11i | −0.515735 | − | 2.25958i | ||||
\(792\) | −3.93424e10 | + | 8.16953e10i | −0.0999908 | + | 0.207633i | ||||
\(793\) | −1.20495e10 | − | 9.60920e9i | −0.0304704 | − | 0.0242993i | ||||
\(794\) | −1.28985e10 | + | 1.02862e10i | −0.0324532 | + | 0.0258805i | ||||
\(795\) | −3.70133e10 | − | 1.78247e10i | −0.0926594 | − | 0.0446224i | ||||
\(796\) | −3.00805e11 | + | 6.24627e11i | −0.749259 | + | 1.55585i | ||||
\(797\) | 2.22111e11 | + | 2.78519e11i | 0.550475 | + | 0.690274i | 0.976765 | − | 0.214313i | \(-0.0687512\pi\) |
−0.426290 | + | 0.904586i | \(0.640180\pi\) | |||||||
\(798\) | 1.15137e10 | − | 1.44378e10i | 0.0283926 | − | 0.0356032i | ||||
\(799\) | 3.22786e10 | + | 1.55446e10i | 0.0792005 | + | 0.0381409i | ||||
\(800\) | −4.87392e9 | + | 1.11244e9i | −0.0118992 | + | 0.00271592i | ||||
\(801\) | −1.35582e11 | + | 3.09458e10i | −0.329362 | + | 0.0751747i | ||||
\(802\) | −8.08447e10 | − | 6.44715e10i | −0.195413 | − | 0.155837i | ||||
\(803\) | 3.84989e10 | + | 7.99438e10i | 0.0925948 | + | 0.192275i | ||||
\(804\) | 1.09387e11 | + | 2.49669e10i | 0.261784 | + | 0.0597504i | ||||
\(805\) | −1.76619e11 | + | 8.50552e10i | −0.420585 | + | 0.202543i | ||||
\(806\) | −4.84274e9 | + | 3.86195e9i | −0.0114749 | + | 0.00915096i | ||||
\(807\) | 2.99385e9 | − | 6.83326e8i | 0.00705887 | − | 0.00161114i | ||||
\(808\) | −1.06919e11 | + | 8.52651e10i | −0.250847 | + | 0.200044i | ||||
\(809\) | 6.97726e10 | − | 3.05694e11i | 0.162889 | − | 0.713662i | −0.825835 | − | 0.563911i | \(-0.809296\pi\) |
0.988724 | − | 0.149750i | \(-0.0478469\pi\) | |||||||
\(810\) | 5.36965e10 | 0.124740 | ||||||||
\(811\) | − | 6.44964e11i | − | 1.49091i | −0.666555 | − | 0.745456i | \(-0.732232\pi\) | ||
0.666555 | − | 0.745456i | \(-0.267768\pi\) | |||||||
\(812\) | 8.82534e10 | − | 3.86663e11i | 0.203005 | − | 0.889424i | ||||
\(813\) | 3.66981e10 | + | 2.92658e10i | 0.0840005 | + | 0.0669881i | ||||
\(814\) | 4.54875e10 | + | 2.19056e10i | 0.103608 | + | 0.0498951i | ||||
\(815\) | 4.01728e11 | − | 1.93462e11i | 0.910545 | − | 0.438495i | ||||
\(816\) | − | 9.56137e10i | − | 0.215655i | ||||||
\(817\) | −6.30181e11 | + | 8.20758e10i | −1.41442 | + | 0.184216i | ||||
\(818\) | −9.67050e9 | −0.0215991 | ||||||||
\(819\) | 2.02665e10 | + | 4.20838e10i | 0.0450446 | + | 0.0935361i | ||||
\(820\) | 2.21507e11 | − | 4.59963e11i | 0.489927 | − | 1.01734i | ||||
\(821\) | −6.05121e10 | + | 7.58798e10i | −0.133189 | + | 0.167014i | −0.843954 | − | 0.536416i | \(-0.819778\pi\) |
0.710764 | + | 0.703430i | \(0.248349\pi\) | |||||||
\(822\) | 1.16550e10 | + | 2.66017e9i | 0.0255284 | + | 0.00582669i | ||||
\(823\) | −2.96401e11 | −0.646071 | −0.323036 | − | 0.946387i | \(-0.604703\pi\) | ||||
−0.323036 | + | 0.946387i | \(0.604703\pi\) | |||||||
\(824\) | − | 1.66099e11i | − | 0.360295i | ||||||
\(825\) | −1.91170e9 | − | 4.36332e8i | −0.00412670 | − | 0.000941893i | ||||
\(826\) | 4.31544e9 | + | 5.41139e9i | 0.00927053 | + | 0.0116249i | ||||
\(827\) | −1.33936e10 | − | 5.86811e10i | −0.0286335 | − | 0.125452i | 0.958591 | − | 0.284786i | \(-0.0919224\pi\) |
−0.987225 | + | 0.159334i | \(0.949065\pi\) | |||||||
\(828\) | 7.85881e10 | + | 9.85463e10i | 0.167200 | + | 0.209662i | ||||
\(829\) | 2.58706e11 | + | 5.37208e11i | 0.547757 | + | 1.13743i | 0.972669 | + | 0.232195i | \(0.0745908\pi\) |
−0.424912 | + | 0.905235i | \(0.639695\pi\) | |||||||
\(830\) | −7.49592e9 | + | 3.28418e10i | −0.0157947 | + | 0.0692013i | ||||
\(831\) | 2.85699e10 | − | 1.37585e10i | 0.0599107 | − | 0.0288514i | ||||
\(832\) | −1.72817e10 | + | 2.16706e10i | −0.0360656 | + | 0.0452249i | ||||
\(833\) | −2.83026e11 | − | 1.24002e12i | −0.587822 | − | 2.57542i | ||||
\(834\) | −2.45507e9 | − | 1.07564e10i | −0.00507457 | − | 0.0222332i | ||||
\(835\) | −1.59088e11 | + | 3.30351e11i | −0.327260 | + | 0.679562i | ||||
\(836\) | −4.84336e11 | − | 3.86245e11i | −0.991565 | − | 0.790747i | ||||
\(837\) | 1.94338e11 | − | 1.54979e11i | 0.395963 | − | 0.315770i | ||||
\(838\) | 2.78159e10 | + | 1.33954e10i | 0.0564049 | + | 0.0271632i | ||||
\(839\) | −3.18187e11 | + | 6.60722e11i | −0.642147 | + | 1.33343i | 0.284926 | + | 0.958550i | \(0.408031\pi\) |
−0.927072 | + | 0.374882i | \(0.877683\pi\) | |||||||
\(840\) | −1.99590e10 | − | 2.50278e10i | −0.0400887 | − | 0.0502697i | ||||
\(841\) | 2.12882e11 | − | 2.66946e11i | 0.425555 | − | 0.533629i | ||||
\(842\) | −5.02825e10 | − | 2.42148e10i | −0.100039 | − | 0.0481761i | ||||
\(843\) | −1.11627e10 | + | 2.54781e9i | −0.0221034 | + | 0.00504496i | ||||
\(844\) | −4.21490e11 | + | 9.62023e10i | −0.830648 | + | 0.189590i | ||||
\(845\) | 4.03192e11 | + | 3.21535e11i | 0.790834 | + | 0.630669i | ||||
\(846\) | −1.62899e9 | − | 3.38264e9i | −0.00318007 | − | 0.00660349i | ||||
\(847\) | 1.49970e11 | + | 3.42298e10i | 0.291388 | + | 0.0665075i | ||||
\(848\) | −3.03251e11 | + | 1.46038e11i | −0.586433 | + | 0.282411i | ||||
\(849\) | −7.44534e10 | + | 5.93746e10i | −0.143303 | + | 0.114280i | ||||
\(850\) | 3.26490e9 | − | 7.45192e8i | 0.00625452 | − | 0.00142755i | ||||
\(851\) | 1.10703e11 | − | 8.82826e10i | 0.211077 | − | 0.168328i | ||||
\(852\) | −1.40906e10 | + | 6.17349e10i | −0.0267406 | + | 0.117158i | ||||
\(853\) | −5.76301e11 | −1.08856 | −0.544281 | − | 0.838903i | \(-0.683198\pi\) | ||||
−0.544281 | + | 0.838903i | \(0.683198\pi\) | |||||||
\(854\) | − | 6.96306e10i | − | 0.130909i | ||||||
\(855\) | −1.68532e11 | + | 7.38387e11i | −0.315368 | + | 1.38172i | ||||
\(856\) | 3.35094e10 | + | 2.67228e10i | 0.0624124 | + | 0.0497722i | ||||
\(857\) | 6.55582e11 | + | 3.15712e11i | 1.21536 | + | 0.585285i | 0.928015 | − | 0.372543i | \(-0.121514\pi\) |
0.287342 | + | 0.957828i | \(0.407228\pi\) | |||||||
\(858\) | 5.51416e8 | − | 2.65548e8i | 0.00101749 | − | 0.000489997i | ||||
\(859\) | − | 8.11003e11i | − | 1.48953i | −0.667326 | − | 0.744766i | \(-0.732561\pi\) | ||
0.667326 | − | 0.744766i | \(-0.267439\pi\) | |||||||
\(860\) | −5.17333e10 | + | 5.43574e11i | −0.0945751 | + | 0.993722i | ||||
\(861\) | 1.51130e11 | 0.275003 | ||||||||
\(862\) | 4.07418e10 | + | 8.46012e10i | 0.0737923 | + | 0.153231i | ||||
\(863\) | 1.97830e11 | − | 4.10798e11i | 0.356655 | − | 0.740603i | −0.643026 | − | 0.765844i | \(-0.722321\pi\) |
0.999681 | + | 0.0252417i | \(0.00803554\pi\) | |||||||
\(864\) | −3.90413e10 | + | 4.89562e10i | −0.0700598 | + | 0.0878523i | ||||
\(865\) | 9.50282e11 | + | 2.16896e11i | 1.69741 | + | 0.387424i | ||||
\(866\) | 2.39322e9 | 0.00425511 | ||||||||
\(867\) | 1.14554e11i | 0.202738i | ||||||||
\(868\) | 1.55471e12 | + | 3.54852e11i | 2.73886 | + | 0.625128i | ||||
\(869\) | −2.55721e11 | − | 3.20665e11i | −0.448423 | − | 0.562305i | ||||
\(870\) | 1.41375e9 | + | 6.19406e9i | 0.00246773 | + | 0.0108118i | ||||
\(871\) | 4.28011e10 | + | 5.36709e10i | 0.0743674 | + | 0.0932537i | ||||
\(872\) | 5.65922e10 | + | 1.17515e11i | 0.0978793 | + | 0.203248i | ||||
\(873\) | 2.37452e10 | − | 1.04035e11i | 0.0408807 | − | 0.179110i | ||||
\(874\) | 2.74695e10 | − | 1.32286e10i | 0.0470766 | − | 0.0226709i | ||||
\(875\) | 5.92232e11 | − | 7.42635e11i | 1.01032 | − | 1.26690i | ||||
\(876\) | 4.48197e9 | + | 1.96368e10i | 0.00761118 | + | 0.0333468i | ||||
\(877\) | 7.06578e10 | + | 3.09572e11i | 0.119443 | + | 0.523315i | 0.998881 | + | 0.0473007i | \(0.0150619\pi\) |
−0.879437 | + | 0.476015i | \(0.842081\pi\) | |||||||
\(878\) | 2.04957e10 | − | 4.25597e10i | 0.0344893 | − | 0.0716177i | ||||
\(879\) | −1.36381e10 | − | 1.08760e10i | −0.0228454 | − | 0.0182186i | ||||
\(880\) | −4.08715e11 | + | 3.25939e11i | −0.681537 | + | 0.543508i | ||||
\(881\) | −6.14136e10 | − | 2.95752e10i | −0.101944 | − | 0.0490935i | 0.382217 | − | 0.924073i | \(-0.375161\pi\) |
−0.484161 | + | 0.874979i | \(0.660875\pi\) | |||||||
\(882\) | −5.78321e10 | + | 1.20090e11i | −0.0955640 | + | 0.198441i | ||||
\(883\) | 3.26402e11 | + | 4.09296e11i | 0.536921 | + | 0.673278i | 0.974105 | − | 0.226094i | \(-0.0725957\pi\) |
−0.437184 | + | 0.899372i | \(0.644024\pi\) | |||||||
\(884\) | 3.71369e10 | − | 4.65682e10i | 0.0608131 | − | 0.0762572i | ||||
\(885\) | 5.69252e9 | + | 2.74137e9i | 0.00927964 | + | 0.00446884i | ||||
\(886\) | −1.11062e11 | + | 2.53491e10i | −0.180231 | + | 0.0411366i | ||||
\(887\) | 2.79529e11 | − | 6.38007e10i | 0.451578 | − | 0.103070i | 0.00931798 | − | 0.999957i | \(-0.497034\pi\) |
0.442260 | + | 0.896887i | \(0.354177\pi\) | |||||||
\(888\) | 1.80776e10 | + | 1.44164e10i | 0.0290730 | + | 0.0231849i | ||||
\(889\) | 3.59252e11 | + | 7.45995e11i | 0.575165 | + | 1.19434i | ||||
\(890\) | 2.81784e10 | + | 6.43153e9i | 0.0449113 | + | 0.0102507i | ||||
\(891\) | 4.80439e11 | − | 2.31367e11i | 0.762303 | − | 0.367106i | ||||
\(892\) | 1.75850e11 | − | 1.40236e11i | 0.277768 | − | 0.221513i | ||||
\(893\) | 5.04531e10 | − | 1.15156e10i | 0.0793381 | − | 0.0181084i | ||||
\(894\) | −1.57718e10 | + | 1.25776e10i | −0.0246905 | + | 0.0196900i | ||||
\(895\) | 6.98298e10 | − | 3.05944e11i | 0.108830 | − | 0.476816i | ||||
\(896\) | −5.34002e11 | −0.828534 | ||||||||
\(897\) | − | 1.71646e9i | − | 0.00265133i | ||||||
\(898\) | 2.03281e10 | − | 8.90634e10i | 0.0312602 | − | 0.136960i | ||||
\(899\) | −4.99237e11 | − | 3.98128e11i | −0.764308 | − | 0.609515i | ||||
\(900\) | 1.80179e10 | + | 8.67695e9i | 0.0274621 | + | 0.0132250i | ||||
\(901\) | 6.27757e11 | − | 3.02312e11i | 0.952559 | − | 0.458728i | ||||
\(902\) | 8.89692e10i | 0.134404i | ||||||||
\(903\) | −1.51624e11 | + | 5.60201e10i | −0.228043 | + | 0.0842545i | ||||
\(904\) | 2.44623e11 | 0.366289 | ||||||||
\(905\) | 2.84535e11 | + | 5.90843e11i | 0.424172 | + | 0.880802i | ||||
\(906\) | −1.54608e9 | + | 3.21046e9i | −0.00229466 | + | 0.00476491i | ||||
\(907\) | −6.21699e10 | + | 7.79586e10i | −0.0918653 | + | 0.115195i | −0.825640 | − | 0.564198i | \(-0.809186\pi\) |
0.733774 | + | 0.679393i | \(0.237757\pi\) | |||||||
\(908\) | −9.85722e11 | − | 2.24985e11i | −1.45014 | − | 0.330986i | ||||
\(909\) | 8.22960e11 | 1.20538 | ||||||||
\(910\) | − | 9.70772e9i | − | 0.0141564i | ||||||
\(911\) | −6.72030e11 | − | 1.53386e11i | −0.975698 | − | 0.222697i | −0.295191 | − | 0.955438i | \(-0.595383\pi\) |
−0.680507 | + | 0.732742i | \(0.738240\pi\) | |||||||
\(912\) | −8.61113e10 | − | 1.07980e11i | −0.124475 | − | 0.156086i | ||||
\(913\) | 7.44402e10 | + | 3.26144e11i | 0.107133 | + | 0.469382i | ||||
\(914\) | 8.33044e10 | + | 1.04460e11i | 0.119367 | + | 0.149681i | ||||
\(915\) | −2.75786e10 | − | 5.72676e10i | −0.0393449 | − | 0.0817005i | ||||
\(916\) | 3.75024e10 | − | 1.64309e11i | 0.0532693 | − | 0.233388i | ||||
\(917\) | 7.06935e11 | − | 3.40442e11i | 0.999775 | − | 0.481466i | ||||
\(918\) | 2.61526e10 | − | 3.27944e10i | 0.0368252 | − | 0.0461773i | ||||
\(919\) | 1.97511e11 | + | 8.65352e11i | 0.276904 | + | 1.21320i | 0.901684 | + | 0.432395i | \(0.142331\pi\) |
−0.624780 | + | 0.780801i | \(0.714811\pi\) | |||||||
\(920\) | −1.17607e10 | − | 5.15271e10i | −0.0164166 | − | 0.0719258i | ||||
\(921\) | 5.45566e10 | − | 1.13288e11i | 0.0758243 | − | 0.157451i | ||||
\(922\) | 1.70599e10 | + | 1.36048e10i | 0.0236076 | + | 0.0188265i | ||||
\(923\) | −3.02902e10 | + | 2.41557e10i | −0.0417346 | + | 0.0332822i | ||||
\(924\) | −1.41964e11 | − | 6.83663e10i | −0.194756 | − | 0.0937895i | ||||
\(925\) | 9.74733e9 | − | 2.02405e10i | 0.0133143 | − | 0.0276475i | ||||
\(926\) | 6.13120e9 | + | 7.68828e9i | 0.00833876 | + | 0.0104565i | ||||
\(927\) | −6.23208e11 | + | 7.81479e11i | −0.843946 | + | 1.05827i | ||||
\(928\) | 1.44929e11 | + | 6.97940e10i | 0.195417 | + | 0.0941080i | ||||
\(929\) | −5.04270e11 | + | 1.15096e11i | −0.677018 | + | 0.154525i | −0.547186 | − | 0.837011i | \(-0.684301\pi\) |
−0.129832 | + | 0.991536i | \(0.541444\pi\) | |||||||
\(930\) | −2.49053e10 | + | 5.68448e9i | −0.0332936 | + | 0.00759904i | ||||
\(931\) | −1.43641e12 | − | 1.14550e12i | −1.91196 | − | 1.52474i | ||||
\(932\) | −2.53741e11 | − | 5.26898e11i | −0.336300 | − | 0.698333i | ||||
\(933\) | −7.11673e10 | − | 1.62435e10i | −0.0939191 | − | 0.0214364i | ||||
\(934\) | 3.25215e10 | − | 1.56615e10i | 0.0427349 | − | 0.0205801i | ||||
\(935\) | 8.46076e11 | − | 6.74723e11i | 1.10704 | − | 0.882834i | ||||
\(936\) | −1.22776e10 | + | 2.80228e9i | −0.0159960 | + | 0.00365097i | ||||
\(937\) | −8.26366e11 | + | 6.59005e11i | −1.07205 | + | 0.854929i | −0.989911 | − | 0.141692i | \(-0.954746\pi\) |
−0.0821364 | + | 0.996621i | \(0.526174\pi\) | |||||||
\(938\) | −6.90143e10 | + | 3.02371e11i | −0.0891513 | + | 0.390597i | ||||
\(939\) | 1.95962e11 | 0.252064 | ||||||||
\(940\) | − | 4.44646e10i | − | 0.0569512i | ||||||
\(941\) | −2.23644e11 | + | 9.79846e11i | −0.285232 | + | 1.24968i | 0.605754 | + | 0.795652i | \(0.292871\pi\) |
−0.890986 | + | 0.454030i | \(0.849986\pi\) | |||||||
\(942\) | 4.97548e9 | + | 3.96781e9i | 0.00631875 | + | 0.00503904i | ||||
\(943\) | 2.24809e11 | + | 1.08262e11i | 0.284293 | + | 0.136908i | ||||
\(944\) | 4.66389e10 | − | 2.24601e10i | 0.0587301 | − | 0.0282829i | ||||
\(945\) | 3.89568e11i | 0.488491i | ||||||||
\(946\) | −3.29787e10 | − | 8.92599e10i | −0.0411784 | − | 0.111453i | ||||
\(947\) | 7.09036e11 | 0.881593 | 0.440797 | − | 0.897607i | \(-0.354696\pi\) | ||||
0.440797 | + | 0.897607i | \(0.354696\pi\) | |||||||
\(948\) | −4.03955e10 | − | 8.38822e10i | −0.0500150 | − | 0.103857i | ||||
\(949\) | −5.34690e9 | + | 1.11030e10i | −0.00659231 | + | 0.0136891i | ||||
\(950\) | 3.01604e9 | − | 3.78199e9i | 0.00370290 | − | 0.00464329i | ||||
\(951\) | −1.27485e11 | − | 2.90976e10i | −0.155861 | − | 0.0355742i | ||||
\(952\) | 5.42930e11 | 0.660991 | ||||||||
\(953\) | 6.82043e11i | 0.826876i | 0.910532 | + | 0.413438i | \(0.135672\pi\) | ||||
−0.910532 | + | 0.413438i | \(0.864328\pi\) | |||||||
\(954\) | −7.11859e10 | − | 1.62477e10i | −0.0859411 | − | 0.0196155i | ||||
\(955\) | −8.04511e11 | − | 1.00882e12i | −0.967205 | − | 1.21284i | ||||
\(956\) | 3.39238e11 | + | 1.48630e12i | 0.406138 | + | 1.77941i | ||||
\(957\) | 3.93382e10 | + | 4.93286e10i | 0.0468994 | + | 0.0588100i | ||||
\(958\) | −6.22117e10 | − | 1.29184e11i | −0.0738601 | − | 0.153372i | ||||
\(959\) | 4.19025e11 | − | 1.83587e12i | 0.495410 | − | 2.17053i | ||||
\(960\) | −1.02993e11 | + | 4.95990e10i | −0.121262 | + | 0.0583966i | ||||
\(961\) | 1.06904e12 | − | 1.34053e12i | 1.25343 | − | 1.57175i | ||||
\(962\) | 1.56029e9 | + | 6.83610e9i | 0.00182182 | + | 0.00798193i | ||||
\(963\) | −5.73932e10 | − | 2.51456e11i | −0.0667353 | − | 0.292386i | ||||
\(964\) | 2.81034e11 | − | 5.83574e11i | 0.325425 | − | 0.675752i | ||||
\(965\) | 1.97305e10 | + | 1.57346e10i | 0.0227525 | + | 0.0181445i | ||||
\(966\) | 6.06302e9 | − | 4.83510e9i | 0.00696275 | − | 0.00555261i | ||||
\(967\) | −8.70441e11 | − | 4.19182e11i | −0.995482 | − | 0.479399i | −0.136079 | − | 0.990698i | \(-0.543450\pi\) |
−0.859403 | + | 0.511299i | \(0.829165\pi\) | |||||||
\(968\) | −1.79946e10 | + | 3.73662e10i | −0.0204947 | + | 0.0425576i | ||||
\(969\) | 1.78258e11 | + | 2.23528e11i | 0.202187 | + | 0.253535i | ||||
\(970\) | −1.38276e10 | + | 1.73393e10i | −0.0156192 | + | 0.0195859i | ||||
\(971\) | 8.10019e11 | + | 3.90085e11i | 0.911210 | + | 0.438816i | 0.829925 | − | 0.557875i | \(-0.188383\pi\) |
0.0812852 | + | 0.996691i | \(0.474098\pi\) | |||||||
\(972\) | 3.67652e11 | − | 8.39142e10i | 0.411881 | − | 0.0940092i | ||||
\(973\) | −1.69432e12 | + | 3.86718e11i | −1.89036 | + | 0.431463i | ||||
\(974\) | 4.67527e9 | + | 3.72841e9i | 0.00519483 | + | 0.00414274i | ||||
\(975\) | −1.18161e8 | − | 2.45363e8i | −0.000130754 | − | 0.000271513i | ||||
\(976\) | −5.07711e11 | − | 1.15882e11i | −0.559522 | − | 0.127707i | ||||
\(977\) | 7.34615e11 | − | 3.53772e11i | 0.806272 | − | 0.388280i | 0.0151093 | − | 0.999886i | \(-0.495190\pi\) |
0.791163 | + | 0.611606i | \(0.209476\pi\) | |||||||
\(978\) | −1.37906e10 | + | 1.09976e10i | −0.0150740 | + | 0.0120211i | ||||
\(979\) | 2.79833e11 | − | 6.38700e10i | 0.304626 | − | 0.0695290i | ||||
\(980\) | −1.23418e12 | + | 9.84223e11i | −1.33805 | + | 1.06706i | ||||
\(981\) | 1.74659e11 | − | 7.65231e11i | 0.188588 | − | 0.826260i | ||||
\(982\) | 2.06881e11 | 0.222472 | ||||||||
\(983\) | 1.35303e12i | 1.44908i | 0.689233 | + | 0.724540i | \(0.257948\pi\) | ||||
−0.689233 | + | 0.724540i | \(0.742052\pi\) | |||||||
\(984\) | −9.06686e9 | + | 3.97245e10i | −0.00967111 | + | 0.0423719i | ||||
\(985\) | −1.25635e12 | − | 1.00191e12i | −1.33465 | − | 1.06435i | ||||
\(986\) | −9.70837e10 | − | 4.67530e10i | −0.102716 | − | 0.0494655i | ||||
\(987\) | 1.18593e10 | − | 5.71116e9i | 0.0124966 | − | 0.00601805i | ||||
\(988\) | − | 8.60373e10i | − | 0.0902941i | ||||||
\(989\) | −2.65674e11 | − | 2.52849e10i | −0.277692 | − | 0.0264287i | ||||
\(990\) | −1.13406e11 | −0.118058 | ||||||||
\(991\) | 5.71564e11 | + | 1.18686e12i | 0.592612 | + | 1.23057i | 0.954461 | + | 0.298334i | \(0.0964311\pi\) |
−0.361850 | + | 0.932236i | \(0.617855\pi\) | |||||||
\(992\) | −2.80630e11 | + | 5.82735e11i | −0.289793 | + | 0.601762i | ||||
\(993\) | −5.39003e10 | + | 6.75888e10i | −0.0554363 | + | 0.0695149i | ||||
\(994\) | −1.70649e11 | − | 3.89496e10i | −0.174807 | − | 0.0398986i | ||||
\(995\) | −1.74938e12 | −1.78481 | ||||||||
\(996\) | 7.59380e10i | 0.0771652i | ||||||||
\(997\) | −8.49519e11 | − | 1.93897e11i | −0.859790 | − | 0.196242i | −0.230176 | − | 0.973149i | \(-0.573930\pi\) |
−0.629615 | + | 0.776908i | \(0.716787\pi\) | |||||||
\(998\) | −6.89805e10 | − | 8.64988e10i | −0.0695351 | − | 0.0871943i | ||||
\(999\) | −6.26142e10 | − | 2.74331e11i | −0.0628652 | − | 0.275431i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 43.9.f.a.2.14 | ✓ | 174 | |
43.22 | odd | 14 | inner | 43.9.f.a.22.14 | yes | 174 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.9.f.a.2.14 | ✓ | 174 | 1.1 | even | 1 | trivial | |
43.9.f.a.22.14 | yes | 174 | 43.22 | odd | 14 | inner |