Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,10,Mod(9,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 10, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.9");
S:= CuspForms(chi, 10);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 10 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.g (of order \(21\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(22.1465409550\) |
Analytic rank: | \(0\) |
Dimension: | \(384\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 9.3 | ||
Character | \(\chi\) | \(=\) | 43.9 |
Dual form | 43.10.g.a.24.3 |
$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{1}{21}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −24.7402 | − | 31.0232i | −1.09337 | − | 1.37105i | −0.922610 | − | 0.385734i | \(-0.873948\pi\) |
−0.170763 | − | 0.985312i | \(-0.554623\pi\) | |||||||
\(3\) | 98.3493 | + | 14.8238i | 0.701013 | + | 0.105661i | 0.489871 | − | 0.871795i | \(-0.337044\pi\) |
0.211141 | + | 0.977456i | \(0.432282\pi\) | |||||||
\(4\) | −236.433 | + | 1035.88i | −0.461783 | + | 2.02320i | ||||
\(5\) | 1493.82 | + | 1018.47i | 1.06889 | + | 0.728759i | 0.964048 | − | 0.265729i | \(-0.0856127\pi\) |
0.104846 | + | 0.994489i | \(0.466565\pi\) | |||||||
\(6\) | −1973.30 | − | 3417.86i | −0.621603 | − | 1.07665i | ||||
\(7\) | 2565.02 | − | 4442.74i | 0.403784 | − | 0.699374i | −0.590395 | − | 0.807114i | \(-0.701028\pi\) |
0.994179 | + | 0.107740i | \(0.0343614\pi\) | |||||||
\(8\) | 19681.4 | − | 9478.07i | 1.69884 | − | 0.818116i | ||||
\(9\) | −9355.69 | − | 2885.85i | −0.475318 | − | 0.146616i | ||||
\(10\) | −5361.22 | − | 71540.5i | −0.169537 | − | 2.26231i | ||||
\(11\) | 14278.8 | + | 62559.5i | 0.294052 | + | 1.28833i | 0.878830 | + | 0.477134i | \(0.158325\pi\) |
−0.584778 | + | 0.811193i | \(0.698818\pi\) | |||||||
\(12\) | −38608.7 | + | 98373.2i | −0.537488 | + | 1.36950i | ||||
\(13\) | −3960.40 | + | 52847.9i | −0.0384587 | + | 0.513195i | 0.944396 | + | 0.328811i | \(0.106648\pi\) |
−0.982854 | + | 0.184384i | \(0.940971\pi\) | |||||||
\(14\) | −201287. | + | 30339.2i | −1.40036 | + | 0.211070i | ||||
\(15\) | 131819. | + | 122310.i | 0.672307 | + | 0.623809i | ||||
\(16\) | −290827. | − | 140055.i | −1.10942 | − | 0.534266i | ||||
\(17\) | −480196. | + | 327392.i | −1.39444 | + | 0.950710i | −0.394948 | + | 0.918704i | \(0.629237\pi\) |
−0.999488 | + | 0.0320063i | \(0.989810\pi\) | |||||||
\(18\) | 141933. | + | 361640.i | 0.318683 | + | 0.811990i | ||||
\(19\) | −291988. | + | 90066.5i | −0.514013 | + | 0.158552i | −0.540901 | − | 0.841086i | \(-0.681917\pi\) |
0.0268875 | + | 0.999638i | \(0.491440\pi\) | |||||||
\(20\) | −1.40820e6 | + | 1.30662e6i | −1.96802 | + | 1.82606i | ||||
\(21\) | 318126. | − | 398917.i | 0.356954 | − | 0.447606i | ||||
\(22\) | 1.58754e6 | − | 1.99071e6i | 1.44485 | − | 1.81178i | ||||
\(23\) | 25984.6 | − | 24110.2i | 0.0193616 | − | 0.0179649i | −0.670433 | − | 0.741970i | \(-0.733891\pi\) |
0.689794 | + | 0.724005i | \(0.257701\pi\) | |||||||
\(24\) | 2.07615e6 | − | 640409.i | 1.27735 | − | 0.394010i | ||||
\(25\) | 480668. | + | 1.22472e6i | 0.246102 | + | 0.627058i | ||||
\(26\) | 1.73749e6 | − | 1.18460e6i | 0.745664 | − | 0.508385i | ||||
\(27\) | −2.64115e6 | − | 1.27191e6i | −0.956437 | − | 0.460596i | ||||
\(28\) | 3.99569e6 | + | 3.70746e6i | 1.22852 | + | 1.13990i | ||||
\(29\) | −11109.6 | + | 1674.50i | −0.00291681 | + | 0.000439638i | −0.150501 | − | 0.988610i | \(-0.548089\pi\) |
0.147584 | + | 0.989050i | \(0.452850\pi\) | |||||||
\(30\) | 533228. | − | 7.11543e6i | 0.120190 | − | 1.60382i | ||||
\(31\) | −2.80639e6 | + | 7.15055e6i | −0.545783 | + | 1.39063i | 0.346029 | + | 0.938224i | \(0.387530\pi\) |
−0.891811 | + | 0.452408i | \(0.850565\pi\) | |||||||
\(32\) | 361375. | + | 1.58329e6i | 0.0609233 | + | 0.266923i | ||||
\(33\) | 476942. | + | 6.36435e6i | 0.0700089 | + | 0.934204i | ||||
\(34\) | 2.20369e7 | + | 6.79749e6i | 2.82811 | + | 0.872355i | ||||
\(35\) | 8.35649e6 | − | 4.02427e6i | 0.941278 | − | 0.453295i | ||||
\(36\) | 5.20138e6 | − | 9.00906e6i | 0.516128 | − | 0.893960i | ||||
\(37\) | 2.86709e6 | + | 4.96595e6i | 0.251498 | + | 0.435607i | 0.963938 | − | 0.266126i | \(-0.0857436\pi\) |
−0.712441 | + | 0.701732i | \(0.752410\pi\) | |||||||
\(38\) | 1.00180e7 | + | 6.83016e6i | 0.779391 | + | 0.531380i | ||||
\(39\) | −1.17291e6 | + | 5.13885e6i | −0.0811845 | + | 0.355693i | ||||
\(40\) | 3.90537e7 | + | 5.88640e6i | 2.41208 | + | 0.363563i | ||||
\(41\) | 1.77715e7 | + | 2.22848e7i | 0.982195 | + | 1.23163i | 0.972793 | + | 0.231678i | \(0.0744215\pi\) |
0.00940256 | + | 0.999956i | \(0.497007\pi\) | |||||||
\(42\) | −2.02462e7 | −1.00397 | ||||||||
\(43\) | −1.35031e7 | − | 1.78958e7i | −0.602316 | − | 0.798258i | ||||
\(44\) | −6.81801e7 | −2.74234 | ||||||||
\(45\) | −1.10366e7 | − | 1.38395e7i | −0.401217 | − | 0.503110i | ||||
\(46\) | −1.39084e6 | − | 209636.i | −0.0458002 | − | 0.00690327i | ||||
\(47\) | 7.73861e6 | − | 3.39050e7i | 0.231325 | − | 1.01350i | −0.717217 | − | 0.696850i | \(-0.754584\pi\) |
0.948542 | − | 0.316651i | \(-0.102558\pi\) | |||||||
\(48\) | −2.65265e7 | − | 1.80854e7i | −0.721263 | − | 0.491749i | ||||
\(49\) | 7.01818e6 | + | 1.21558e7i | 0.173917 | + | 0.301233i | ||||
\(50\) | 2.61030e7 | − | 4.52118e7i | 0.590644 | − | 1.02303i | ||||
\(51\) | −5.20801e7 | + | 2.50805e7i | −1.07797 | + | 0.519123i | ||||
\(52\) | −5.38077e7 | − | 1.65975e7i | −1.02054 | − | 0.314794i | ||||
\(53\) | 928222. | + | 1.23863e7i | 0.0161588 | + | 0.215625i | 0.999438 | + | 0.0335203i | \(0.0106719\pi\) |
−0.983279 | + | 0.182104i | \(0.941709\pi\) | |||||||
\(54\) | 2.58838e7 | + | 1.13404e8i | 0.414244 | + | 1.81492i | ||||
\(55\) | −4.23851e7 | + | 1.07995e8i | −0.624570 | + | 1.59138i | ||||
\(56\) | 8.37456e6 | − | 1.11751e8i | 0.113793 | − | 1.51846i | ||||
\(57\) | −3.00520e7 | + | 4.52961e6i | −0.377083 | + | 0.0568361i | ||||
\(58\) | 326802. | + | 303228.i | 0.00379192 | + | 0.00351839i | ||||
\(59\) | 4.55542e6 | + | 2.19377e6i | 0.0489434 | + | 0.0235699i | 0.458195 | − | 0.888852i | \(-0.348496\pi\) |
−0.409252 | + | 0.912421i | \(0.634210\pi\) | |||||||
\(60\) | −1.57865e8 | + | 1.07630e8i | −1.57255 | + | 1.07215i | ||||
\(61\) | −1.35802e7 | − | 3.46018e7i | −0.125580 | − | 0.319974i | 0.854232 | − | 0.519892i | \(-0.174028\pi\) |
−0.979813 | + | 0.199918i | \(0.935932\pi\) | |||||||
\(62\) | 2.91264e8 | − | 8.98430e7i | 2.50336 | − | 0.772186i | ||||
\(63\) | −3.68186e7 | + | 3.41627e7i | −0.294466 | + | 0.273224i | ||||
\(64\) | −6.28660e7 | + | 7.88314e7i | −0.468388 | + | 0.587340i | ||||
\(65\) | −5.97402e7 | + | 7.49119e7i | −0.415104 | + | 0.520524i | ||||
\(66\) | 1.85643e8 | − | 1.72252e8i | 1.20429 | − | 1.11742i | ||||
\(67\) | 1.90447e8 | − | 5.87452e7i | 1.15462 | − | 0.356153i | 0.342427 | − | 0.939544i | \(-0.388751\pi\) |
0.812191 | + | 0.583392i | \(0.198275\pi\) | |||||||
\(68\) | −2.25605e8 | − | 5.74831e8i | −1.27955 | − | 3.26025i | ||||
\(69\) | 2.91297e6 | − | 1.98603e6i | 0.0154709 | − | 0.0105479i | ||||
\(70\) | −3.31587e8 | − | 1.59684e8i | −1.65066 | − | 0.794914i | ||||
\(71\) | 3.01361e8 | + | 2.79622e8i | 1.40742 | + | 1.30590i | 0.894218 | + | 0.447631i | \(0.147732\pi\) |
0.513204 | + | 0.858267i | \(0.328458\pi\) | |||||||
\(72\) | −2.11485e8 | + | 3.18763e7i | −0.927437 | + | 0.139789i | ||||
\(73\) | −2.93180e7 | + | 3.91222e8i | −0.120832 | + | 1.61239i | 0.526495 | + | 0.850179i | \(0.323506\pi\) |
−0.647327 | + | 0.762213i | \(0.724113\pi\) | |||||||
\(74\) | 8.31273e7 | − | 2.11805e8i | 0.322256 | − | 0.821095i | ||||
\(75\) | 2.91184e7 | + | 1.27576e8i | 0.106265 | + | 0.465579i | ||||
\(76\) | −2.42624e7 | − | 3.23760e8i | −0.0834205 | − | 1.11317i | ||||
\(77\) | 3.14561e8 | + | 9.70292e7i | 1.01976 | + | 0.314553i | ||||
\(78\) | 1.88442e8 | − | 9.07487e7i | 0.576436 | − | 0.277597i | ||||
\(79\) | −1.98059e7 | + | 3.43049e7i | −0.0572102 | + | 0.0990909i | −0.893212 | − | 0.449636i | \(-0.851554\pi\) |
0.836002 | + | 0.548727i | \(0.184887\pi\) | |||||||
\(80\) | −2.91802e8 | − | 5.05416e8i | −0.796495 | − | 1.37957i | ||||
\(81\) | −8.16768e7 | − | 5.56863e7i | −0.210822 | − | 0.143736i | ||||
\(82\) | 2.51675e8 | − | 1.10266e9i | 0.614721 | − | 2.69327i | ||||
\(83\) | −1.39704e8 | − | 2.10569e7i | −0.323114 | − | 0.0487016i | −0.0145176 | − | 0.999895i | \(-0.504621\pi\) |
−0.308597 | + | 0.951193i | \(0.599859\pi\) | |||||||
\(84\) | 3.38015e8 | + | 4.23857e8i | 0.740763 | + | 0.928887i | ||||
\(85\) | −1.05077e9 | −2.18334 | ||||||||
\(86\) | −2.21117e8 | + | 8.61655e8i | −0.435893 | + | 1.69860i | ||||
\(87\) | −1.11744e6 | −0.00209117 | ||||||||
\(88\) | 8.73970e8 | + | 1.09592e9i | 1.55355 | + | 1.94809i | ||||
\(89\) | 4.55856e8 | + | 6.87093e7i | 0.770146 | + | 0.116081i | 0.522350 | − | 0.852731i | \(-0.325056\pi\) |
0.247796 | + | 0.968812i | \(0.420294\pi\) | |||||||
\(90\) | −1.56297e8 | + | 6.84782e8i | −0.251107 | + | 1.10017i | ||||
\(91\) | 2.24631e8 | + | 1.53151e8i | 0.343386 | + | 0.234117i | ||||
\(92\) | 1.88317e7 | + | 3.26174e7i | 0.0274058 | + | 0.0474683i | ||||
\(93\) | −3.82004e8 | + | 6.61651e8i | −0.529536 | + | 0.917182i | ||||
\(94\) | −1.24330e9 | + | 5.98741e8i | −1.64248 | + | 0.790977i | ||||
\(95\) | −5.27910e8 | − | 1.62839e8i | −0.664972 | − | 0.205117i | ||||
\(96\) | 1.20707e7 | + | 1.61072e8i | 0.0145048 | + | 0.193553i | ||||
\(97\) | 6.24141e7 | + | 2.73454e8i | 0.0715830 | + | 0.313626i | 0.998025 | − | 0.0628108i | \(-0.0200065\pi\) |
−0.926442 | + | 0.376436i | \(0.877149\pi\) | |||||||
\(98\) | 2.03482e8 | − | 5.18465e8i | 0.222848 | − | 0.567808i | ||||
\(99\) | 4.69492e7 | − | 6.26494e8i | 0.0491213 | − | 0.655479i | ||||
\(100\) | −1.38231e9 | + | 2.08350e8i | −1.38231 | + | 0.208350i | ||||
\(101\) | −1.30196e9 | − | 1.20805e9i | −1.24495 | − | 1.15515i | −0.981703 | − | 0.190419i | \(-0.939015\pi\) |
−0.263249 | − | 0.964728i | \(-0.584794\pi\) | |||||||
\(102\) | 2.06655e9 | + | 9.95199e8i | 1.89036 | + | 0.910351i | ||||
\(103\) | 6.50350e8 | − | 4.43401e8i | 0.569350 | − | 0.388177i | −0.244153 | − | 0.969737i | \(-0.578510\pi\) |
0.813503 | + | 0.581560i | \(0.197558\pi\) | |||||||
\(104\) | 4.22949e8 | + | 1.07766e9i | 0.354518 | + | 0.903297i | ||||
\(105\) | 8.81510e8 | − | 2.71910e8i | 0.707743 | − | 0.218310i | ||||
\(106\) | 3.61297e8 | − | 3.35235e8i | 0.277964 | − | 0.257913i | ||||
\(107\) | 9.36743e8 | − | 1.17464e9i | 0.690865 | − | 0.866318i | −0.305439 | − | 0.952212i | \(-0.598803\pi\) |
0.996304 | + | 0.0858939i | \(0.0273746\pi\) | |||||||
\(108\) | 1.94200e9 | − | 2.43519e9i | 1.37354 | − | 1.72237i | ||||
\(109\) | −1.57183e9 | + | 1.45844e9i | −1.06656 | + | 0.989622i | −0.999967 | − | 0.00815796i | \(-0.997403\pi\) |
−0.0665925 | + | 0.997780i | \(0.521213\pi\) | |||||||
\(110\) | 4.39899e9 | − | 1.35691e9i | 2.86474 | − | 0.883656i | ||||
\(111\) | 2.08362e8 | + | 5.30899e8i | 0.130276 | + | 0.331939i | ||||
\(112\) | −1.36820e9 | + | 9.32824e8i | −0.821616 | + | 0.560169i | ||||
\(113\) | −6.27056e8 | − | 3.01974e8i | −0.361787 | − | 0.174228i | 0.244155 | − | 0.969736i | \(-0.421489\pi\) |
−0.605942 | + | 0.795509i | \(0.707204\pi\) | |||||||
\(114\) | 8.84016e8 | + | 8.20247e8i | 0.490217 | + | 0.454855i | ||||
\(115\) | 6.33720e7 | − | 9.55179e6i | 0.0337876 | − | 0.00509266i | ||||
\(116\) | 892090. | − | 1.19041e7i | 0.000457454 | − | 0.00610431i | ||||
\(117\) | 1.89563e8 | − | 4.82999e8i | 0.0935229 | − | 0.238292i | ||||
\(118\) | −4.46440e7 | − | 1.95598e8i | −0.0211980 | − | 0.0928744i | ||||
\(119\) | 2.22807e8 | + | 2.97315e9i | 0.101851 | + | 1.35911i | ||||
\(120\) | 3.75365e9 | + | 1.15785e9i | 1.65249 | + | 0.509725i | ||||
\(121\) | −1.58537e9 | + | 7.63475e8i | −0.672353 | + | 0.323788i | ||||
\(122\) | −7.37482e8 | + | 1.27736e9i | −0.301392 | + | 0.522027i | ||||
\(123\) | 1.41747e9 | + | 2.45514e9i | 0.558396 | + | 0.967170i | ||||
\(124\) | −6.74359e9 | − | 4.59770e9i | −2.56150 | − | 1.74640i | ||||
\(125\) | 2.56457e8 | − | 1.12361e9i | 0.0939549 | − | 0.411643i | ||||
\(126\) | 1.97074e9 | + | 2.97041e8i | 0.696564 | + | 0.104990i | ||||
\(127\) | −3.27637e9 | − | 4.10844e9i | −1.11757 | − | 1.40139i | −0.905608 | − | 0.424115i | \(-0.860585\pi\) |
−0.211965 | − | 0.977277i | \(-0.567986\pi\) | |||||||
\(128\) | 4.83241e9 | 1.59118 | ||||||||
\(129\) | −1.06273e9 | − | 1.96021e9i | −0.337886 | − | 0.623230i | ||||
\(130\) | 3.80199e9 | 1.16753 | ||||||||
\(131\) | 2.70084e9 | + | 3.38675e9i | 0.801269 | + | 1.00476i | 0.999696 | + | 0.0246441i | \(0.00784526\pi\) |
−0.198427 | + | 0.980116i | \(0.563583\pi\) | |||||||
\(132\) | −6.70547e9 | − | 1.01069e9i | −1.92241 | − | 0.289757i | ||||
\(133\) | −3.48813e8 | + | 1.52825e9i | −0.0966631 | + | 0.423509i | ||||
\(134\) | −6.53417e9 | − | 4.45493e9i | −1.75073 | − | 1.19363i | ||||
\(135\) | −2.65001e9 | − | 4.58995e9i | −0.686666 | − | 1.18934i | ||||
\(136\) | −6.34789e9 | + | 1.09949e10i | −1.59112 | + | 2.75591i | ||||
\(137\) | 1.60110e9 | − | 7.71050e8i | 0.388308 | − | 0.186999i | −0.229536 | − | 0.973300i | \(-0.573721\pi\) |
0.617844 | + | 0.786301i | \(0.288006\pi\) | |||||||
\(138\) | −1.33681e8 | − | 4.12351e7i | −0.0313771 | − | 0.00967856i | ||||
\(139\) | −3.95182e7 | − | 5.27334e8i | −0.00897905 | − | 0.119817i | 0.990913 | − | 0.134504i | \(-0.0429440\pi\) |
−0.999892 | + | 0.0146866i | \(0.995325\pi\) | |||||||
\(140\) | 2.19291e9 | + | 9.60779e9i | 0.482443 | + | 2.11372i | ||||
\(141\) | 1.26369e9 | − | 3.21982e9i | 0.269249 | − | 0.686035i | ||||
\(142\) | 1.21905e9 | − | 1.62671e10i | 0.251608 | − | 3.35747i | ||||
\(143\) | −3.36269e9 | + | 5.06844e8i | −0.672472 | + | 0.101359i | ||||
\(144\) | 2.31671e9 | + | 2.14959e9i | 0.448993 | + | 0.416605i | ||||
\(145\) | −1.83012e7 | − | 8.81340e6i | −0.00343814 | − | 0.00165572i | ||||
\(146\) | 1.28623e10 | − | 8.76937e9i | 2.34278 | − | 1.59728i | ||||
\(147\) | 5.10038e8 | + | 1.29955e9i | 0.0900895 | + | 0.229544i | ||||
\(148\) | −5.82200e9 | + | 1.79585e9i | −0.997457 | + | 0.307675i | ||||
\(149\) | −4.53808e9 | + | 4.21073e9i | −0.754283 | + | 0.699872i | −0.960391 | − | 0.278657i | \(-0.910111\pi\) |
0.206108 | + | 0.978529i | \(0.433920\pi\) | |||||||
\(150\) | 3.23743e9 | − | 4.05960e9i | 0.522143 | − | 0.654746i | ||||
\(151\) | −4.20600e9 | + | 5.27415e9i | −0.658374 | + | 0.825575i | −0.993165 | − | 0.116718i | \(-0.962763\pi\) |
0.334791 | + | 0.942292i | \(0.391334\pi\) | |||||||
\(152\) | −4.89309e9 | + | 4.54012e9i | −0.743510 | + | 0.689877i | ||||
\(153\) | 5.43737e9 | − | 1.67721e9i | 0.802190 | − | 0.247443i | ||||
\(154\) | −4.77215e9 | − | 1.21592e10i | −0.683708 | − | 1.74206i | ||||
\(155\) | −1.14749e10 | + | 7.82344e9i | −1.59682 | + | 1.08869i | ||||
\(156\) | −5.04591e9 | − | 2.42998e9i | −0.682148 | − | 0.328505i | ||||
\(157\) | −7.33210e9 | − | 6.80319e9i | −0.963118 | − | 0.893643i | 0.0312618 | − | 0.999511i | \(-0.490047\pi\) |
−0.994380 | + | 0.105868i | \(0.966238\pi\) | |||||||
\(158\) | 1.55425e9 | − | 2.34266e8i | 0.198410 | − | 0.0299055i | ||||
\(159\) | −9.23212e7 | + | 1.23194e9i | −0.0114555 | + | 0.152863i | ||||
\(160\) | −1.07270e9 | + | 2.73321e9i | −0.129402 | + | 0.329710i | ||||
\(161\) | −4.04644e7 | − | 1.77286e8i | −0.00474631 | − | 0.0207950i | ||||
\(162\) | 2.93132e8 | + | 3.91157e9i | 0.0334384 | + | 0.446204i | ||||
\(163\) | 5.26310e9 | + | 1.62345e9i | 0.583979 | + | 0.180134i | 0.572647 | − | 0.819802i | \(-0.305917\pi\) |
0.0113322 | + | 0.999936i | \(0.496393\pi\) | |||||||
\(164\) | −2.72862e10 | + | 1.31403e10i | −2.94540 | + | 1.41843i | ||||
\(165\) | −5.76945e9 | + | 9.99298e9i | −0.605978 | + | 1.04958i | ||||
\(166\) | 2.80304e9 | + | 4.85501e9i | 0.286512 | + | 0.496254i | ||||
\(167\) | −9.51639e9 | − | 6.48816e9i | −0.946778 | − | 0.645502i | −0.0116950 | − | 0.999932i | \(-0.503723\pi\) |
−0.935083 | + | 0.354429i | \(0.884675\pi\) | |||||||
\(168\) | 2.48020e9 | − | 1.08665e10i | 0.240212 | − | 1.05244i | ||||
\(169\) | 7.70884e9 | + | 1.16192e9i | 0.726941 | + | 0.109569i | ||||
\(170\) | 2.59962e10 | + | 3.25982e10i | 2.38721 | + | 2.99346i | ||||
\(171\) | 2.99167e9 | 0.267566 | ||||||||
\(172\) | 2.17305e10 | − | 9.75639e9i | 1.89318 | − | 0.849985i | ||||
\(173\) | 1.98861e10 | 1.68788 | 0.843939 | − | 0.536439i | \(-0.180231\pi\) | ||||
0.843939 | + | 0.536439i | \(0.180231\pi\) | |||||||
\(174\) | 2.76458e7 | + | 3.46667e7i | 0.00228643 | + | 0.00286709i | ||||
\(175\) | 6.67405e9 | + | 1.00595e9i | 0.537920 | + | 0.0810784i | ||||
\(176\) | 4.60910e9 | − | 2.01938e10i | 0.362084 | − | 1.58639i | ||||
\(177\) | 4.15502e8 | + | 2.83285e8i | 0.0318195 | + | 0.0216942i | ||||
\(178\) | −9.14639e9 | − | 1.58420e10i | −0.682904 | − | 1.18283i | ||||
\(179\) | 3.16056e9 | − | 5.47426e9i | 0.230105 | − | 0.398553i | −0.727734 | − | 0.685860i | \(-0.759426\pi\) |
0.957839 | + | 0.287306i | \(0.0927597\pi\) | |||||||
\(180\) | 1.69454e10 | − | 8.16049e9i | 1.20317 | − | 0.579415i | ||||
\(181\) | 7.11774e9 | + | 2.19553e9i | 0.492934 | + | 0.152050i | 0.531249 | − | 0.847216i | \(-0.321723\pi\) |
−0.0383151 | + | 0.999266i | \(0.512199\pi\) | |||||||
\(182\) | −8.06183e8 | − | 1.07578e10i | −0.0544643 | − | 0.726776i | ||||
\(183\) | −8.22674e8 | − | 3.60437e9i | −0.0542248 | − | 0.237574i | ||||
\(184\) | 2.82896e8 | − | 7.20807e8i | 0.0181948 | − | 0.0463595i | ||||
\(185\) | −7.74749e8 | + | 1.03383e10i | −0.0486282 | + | 0.648898i | ||||
\(186\) | 2.99774e10 | − | 4.51837e9i | 1.83648 | − | 0.276805i | ||||
\(187\) | −2.73381e10 | − | 2.53661e10i | −1.63486 | − | 1.51693i | ||||
\(188\) | 3.32919e10 | + | 1.60325e10i | 1.94369 | + | 0.936034i | ||||
\(189\) | −1.24254e10 | + | 8.47148e9i | −0.708323 | + | 0.482926i | ||||
\(190\) | 8.00881e9 | + | 2.04061e10i | 0.445838 | + | 1.13598i | ||||
\(191\) | 2.83163e10 | − | 8.73441e9i | 1.53952 | − | 0.474879i | 0.595110 | − | 0.803644i | \(-0.297109\pi\) |
0.944412 | + | 0.328765i | \(0.106632\pi\) | |||||||
\(192\) | −7.35141e9 | + | 6.82111e9i | −0.390405 | + | 0.362243i | ||||
\(193\) | −3.90897e9 | + | 4.90170e9i | −0.202794 | + | 0.254295i | −0.872820 | − | 0.488042i | \(-0.837711\pi\) |
0.670026 | + | 0.742337i | \(0.266283\pi\) | |||||||
\(194\) | 6.93929e9 | − | 8.70160e9i | 0.351728 | − | 0.441053i | ||||
\(195\) | −6.98589e9 | + | 6.48196e9i | −0.345992 | + | 0.321034i | ||||
\(196\) | −1.42513e10 | + | 4.39595e9i | −0.689767 | + | 0.212765i | ||||
\(197\) | 1.35906e9 | + | 3.46284e9i | 0.0642897 | + | 0.163808i | 0.959408 | − | 0.282020i | \(-0.0910046\pi\) |
−0.895119 | + | 0.445828i | \(0.852909\pi\) | |||||||
\(198\) | −2.05974e10 | + | 1.40431e10i | −0.952400 | + | 0.649335i | ||||
\(199\) | −1.20668e10 | − | 5.81108e9i | −0.545449 | − | 0.262674i | 0.140804 | − | 0.990038i | \(-0.455031\pi\) |
−0.686253 | + | 0.727363i | \(0.740746\pi\) | |||||||
\(200\) | 2.10682e10 | + | 1.95485e10i | 0.931093 | + | 0.863928i | ||||
\(201\) | 1.96012e10 | − | 2.95441e9i | 0.847033 | − | 0.127670i | ||||
\(202\) | −5.26664e9 | + | 7.02784e10i | −0.222563 | + | 2.96989i | ||||
\(203\) | −2.10569e7 | + | 5.36522e7i | −0.000870288 | + | 0.00221746i | ||||
\(204\) | −1.36669e10 | − | 5.98786e10i | −0.552503 | − | 2.42067i | ||||
\(205\) | 3.85110e9 | + | 5.13894e10i | 0.152297 | + | 2.03227i | ||||
\(206\) | −2.98455e10 | − | 9.20613e9i | −1.15472 | − | 0.356184i | ||||
\(207\) | −3.12682e8 | + | 1.50580e8i | −0.0118369 | + | 0.00570034i | ||||
\(208\) | 8.55338e9 | − | 1.48149e10i | 0.316849 | − | 0.548799i | ||||
\(209\) | −9.80376e9 | − | 1.69806e10i | −0.355414 | − | 0.615595i | ||||
\(210\) | −3.02443e10 | − | 2.06202e10i | −1.07314 | − | 0.731654i | ||||
\(211\) | −7.06565e9 | + | 3.09566e10i | −0.245404 | + | 1.07518i | 0.690612 | + | 0.723225i | \(0.257341\pi\) |
−0.936016 | + | 0.351958i | \(0.885516\pi\) | |||||||
\(212\) | −1.30501e10 | − | 1.96699e9i | −0.443715 | − | 0.0668792i | ||||
\(213\) | 2.54936e10 | + | 3.19680e10i | 0.848639 | + | 1.06416i | ||||
\(214\) | −5.96163e10 | −1.94314 | ||||||||
\(215\) | −1.94481e9 | − | 4.04857e10i | −0.0620733 | − | 1.29220i | ||||
\(216\) | −6.40369e10 | −2.00165 | ||||||||
\(217\) | 2.45696e10 | + | 3.08093e10i | 0.752194 | + | 0.943221i | ||||
\(218\) | 8.41328e10 | + | 1.26810e10i | 2.52297 | + | 0.380276i | ||||
\(219\) | −8.68280e9 | + | 3.80418e10i | −0.255071 | + | 1.11754i | ||||
\(220\) | −1.01849e11 | − | 6.94395e10i | −2.93126 | − | 1.99850i | ||||
\(221\) | −1.54002e10 | − | 2.66739e10i | −0.434272 | − | 0.752180i | ||||
\(222\) | 1.13153e10 | − | 1.95986e10i | 0.312663 | − | 0.541548i | ||||
\(223\) | −2.94588e10 | + | 1.41866e10i | −0.797705 | + | 0.384155i | −0.787905 | − | 0.615797i | \(-0.788834\pi\) |
−0.00980069 | + | 0.999952i | \(0.503120\pi\) | |||||||
\(224\) | 7.96107e9 | + | 2.45567e9i | 0.211279 | + | 0.0651708i | ||||
\(225\) | −9.62619e8 | − | 1.28453e10i | −0.0250399 | − | 0.334135i | ||||
\(226\) | 6.14528e9 | + | 2.69242e10i | 0.156694 | + | 0.686523i | ||||
\(227\) | −9.42595e9 | + | 2.40169e10i | −0.235618 | + | 0.600345i | −0.998957 | − | 0.0456525i | \(-0.985463\pi\) |
0.763339 | + | 0.645998i | \(0.223559\pi\) | |||||||
\(228\) | 2.41315e9 | − | 3.22012e10i | 0.0591394 | − | 0.789160i | ||||
\(229\) | 2.80874e10 | − | 4.23349e9i | 0.674919 | − | 0.101728i | 0.197365 | − | 0.980330i | \(-0.436762\pi\) |
0.477554 | + | 0.878602i | \(0.341524\pi\) | |||||||
\(230\) | −1.86416e9 | − | 1.72969e9i | −0.0439247 | − | 0.0407562i | ||||
\(231\) | 2.94985e10 | + | 1.42057e10i | 0.681627 | + | 0.328254i | ||||
\(232\) | −2.02782e8 | + | 1.38254e8i | −0.00459550 | + | 0.00313316i | ||||
\(233\) | −3.14600e10 | − | 8.01589e10i | −0.699291 | − | 1.78176i | −0.619563 | − | 0.784947i | \(-0.712690\pi\) |
−0.0797276 | − | 0.996817i | \(-0.525405\pi\) | |||||||
\(234\) | −1.96740e10 | + | 6.06864e9i | −0.428965 | + | 0.132318i | ||||
\(235\) | 4.60914e10 | − | 4.27666e10i | 0.985859 | − | 0.914744i | ||||
\(236\) | −3.34954e9 | + | 4.20019e9i | −0.0702879 | + | 0.0881383i | ||||
\(237\) | −2.45643e9 | + | 3.08026e9i | −0.0505751 | + | 0.0634191i | ||||
\(238\) | 8.67245e10 | − | 8.04686e10i | 1.75205 | − | 1.62566i | ||||
\(239\) | −1.72070e9 | + | 5.30766e8i | −0.0341126 | + | 0.0105223i | −0.311765 | − | 0.950159i | \(-0.600920\pi\) |
0.277652 | + | 0.960682i | \(0.410444\pi\) | |||||||
\(240\) | −2.12064e10 | − | 5.40329e10i | −0.412587 | − | 1.05125i | ||||
\(241\) | −1.74358e10 | + | 1.18875e10i | −0.332939 | + | 0.226994i | −0.718237 | − | 0.695798i | \(-0.755051\pi\) |
0.385299 | + | 0.922792i | \(0.374098\pi\) | |||||||
\(242\) | 6.29079e10 | + | 3.02949e10i | 1.17906 | + | 0.567806i | ||||
\(243\) | 3.50896e10 | + | 3.25584e10i | 0.645581 | + | 0.599011i | ||||
\(244\) | 3.90541e10 | − | 5.88645e9i | 0.705362 | − | 0.106316i | ||||
\(245\) | −1.89646e9 | + | 2.53065e10i | −0.0336276 | + | 0.448730i | ||||
\(246\) | 4.10977e10 | − | 1.04715e11i | 0.715500 | − | 1.82306i | ||||
\(247\) | −3.60343e9 | − | 1.57877e10i | −0.0615999 | − | 0.269887i | ||||
\(248\) | 1.25398e10 | + | 1.67332e11i | 0.210503 | + | 2.80897i | ||||
\(249\) | −1.34276e10 | − | 4.14187e9i | −0.221361 | − | 0.0682809i | ||||
\(250\) | −4.12028e10 | + | 1.98422e10i | −0.667110 | + | 0.321263i | ||||
\(251\) | 4.58049e10 | − | 7.93364e10i | 0.728417 | − | 1.26165i | −0.229136 | − | 0.973395i | \(-0.573590\pi\) |
0.957552 | − | 0.288260i | \(-0.0930768\pi\) | |||||||
\(252\) | −2.66833e10 | − | 4.62168e10i | −0.416809 | − | 0.721934i | ||||
\(253\) | 1.87935e9 | + | 1.28132e9i | 0.0288380 | + | 0.0196614i | ||||
\(254\) | −4.63990e10 | + | 2.03287e11i | −0.699450 | + | 3.06449i | ||||
\(255\) | −1.03342e11 | − | 1.55763e10i | −1.53055 | − | 0.230693i | ||||
\(256\) | −8.73676e10 | − | 1.09555e11i | −1.27137 | − | 1.59424i | ||||
\(257\) | 5.95882e10 | 0.852043 | 0.426021 | − | 0.904713i | \(-0.359915\pi\) | ||||
0.426021 | + | 0.904713i | \(0.359915\pi\) | |||||||
\(258\) | −3.45197e10 | + | 8.14654e10i | −0.485041 | + | 1.14468i | ||||
\(259\) | 2.94166e10 | 0.406203 | ||||||||
\(260\) | −6.34751e10 | − | 7.95953e10i | −0.861437 | − | 1.08021i | ||||
\(261\) | 1.08770e8 | + | 1.63945e7i | 0.00145087 | + | 0.000218683i | ||||
\(262\) | 3.82485e10 | − | 1.67578e11i | 0.501486 | − | 2.19715i | ||||
\(263\) | −2.73660e10 | − | 1.86578e10i | −0.352704 | − | 0.240470i | 0.373987 | − | 0.927434i | \(-0.377990\pi\) |
−0.726691 | + | 0.686964i | \(0.758943\pi\) | |||||||
\(264\) | 6.97087e10 | + | 1.20739e11i | 0.883221 | + | 1.52978i | ||||
\(265\) | −1.12285e10 | + | 1.94483e10i | −0.139866 | + | 0.242256i | ||||
\(266\) | 5.60410e10 | − | 2.69879e10i | 0.686339 | − | 0.330523i | ||||
\(267\) | 4.38146e10 | + | 1.35150e10i | 0.527617 | + | 0.162748i | ||||
\(268\) | 1.58250e10 | + | 2.11170e11i | 0.187386 | + | 2.50049i | ||||
\(269\) | −2.10534e10 | − | 9.22410e10i | −0.245153 | − | 1.07409i | −0.936253 | − | 0.351326i | \(-0.885731\pi\) |
0.691100 | − | 0.722759i | \(-0.257126\pi\) | |||||||
\(270\) | −7.68334e10 | + | 1.95768e11i | −0.879859 | + | 2.24184i | ||||
\(271\) | 1.09482e10 | − | 1.46094e11i | 0.123305 | − | 1.64539i | −0.501894 | − | 0.864929i | \(-0.667363\pi\) |
0.625199 | − | 0.780465i | \(-0.285018\pi\) | |||||||
\(272\) | 1.85507e11 | − | 2.79606e10i | 2.05494 | − | 0.309732i | ||||
\(273\) | 1.98220e10 | + | 1.83922e10i | 0.215981 | + | 0.200401i | ||||
\(274\) | −6.35321e10 | − | 3.05954e10i | −0.680951 | − | 0.327929i | ||||
\(275\) | −6.97547e10 | + | 4.75579e10i | −0.735489 | + | 0.501448i | ||||
\(276\) | 1.36857e9 | + | 3.48705e9i | 0.0141963 | + | 0.0361716i | ||||
\(277\) | −4.05233e10 | + | 1.24998e10i | −0.413567 | + | 0.127568i | −0.494554 | − | 0.869147i | \(-0.664669\pi\) |
0.0809877 | + | 0.996715i | \(0.474193\pi\) | |||||||
\(278\) | −1.53819e10 | + | 1.42723e10i | −0.154457 | + | 0.143315i | ||||
\(279\) | 4.68911e10 | − | 5.87996e10i | 0.463310 | − | 0.580972i | ||||
\(280\) | 1.26325e11 | − | 1.58407e11i | 1.22823 | − | 1.54015i | ||||
\(281\) | −7.54329e10 | + | 6.99915e10i | −0.721742 | + | 0.669679i | −0.952916 | − | 0.303233i | \(-0.901934\pi\) |
0.231174 | + | 0.972912i | \(0.425743\pi\) | |||||||
\(282\) | −1.31153e11 | + | 4.04554e10i | −1.23497 | + | 0.380939i | ||||
\(283\) | 5.41639e10 | + | 1.38007e11i | 0.501962 | + | 1.27898i | 0.927427 | + | 0.374003i | \(0.122015\pi\) |
−0.425466 | + | 0.904975i | \(0.639890\pi\) | |||||||
\(284\) | −3.60907e11 | + | 2.46062e11i | −3.29202 | + | 2.24446i | ||||
\(285\) | −4.95057e10 | − | 2.38407e10i | −0.444481 | − | 0.214051i | ||||
\(286\) | 9.89175e10 | + | 9.17821e10i | 0.874231 | + | 0.811168i | ||||
\(287\) | 1.44590e11 | − | 2.17934e10i | 1.25797 | − | 0.189608i | ||||
\(288\) | 1.18822e9 | − | 1.58556e10i | 0.0101772 | − | 0.135806i | ||||
\(289\) | 8.00776e10 | − | 2.04034e11i | 0.675260 | − | 1.72053i | ||||
\(290\) | 1.79356e8 | + | 7.85809e8i | 0.00148910 | + | 0.00652418i | ||||
\(291\) | 2.08476e9 | + | 2.78192e10i | 0.0170427 | + | 0.227419i | ||||
\(292\) | −3.98327e11 | − | 1.22868e11i | −3.20640 | − | 0.989042i | ||||
\(293\) | 2.15128e11 | − | 1.03600e11i | 1.70527 | − | 0.821215i | 0.712432 | − | 0.701741i | \(-0.247594\pi\) |
0.992837 | − | 0.119474i | \(-0.0381207\pi\) | |||||||
\(294\) | 2.76980e10 | − | 4.79743e10i | 0.216214 | − | 0.374494i | ||||
\(295\) | 4.57070e9 | + | 7.91668e9i | 0.0351385 | + | 0.0608617i | ||||
\(296\) | 1.03496e11 | + | 7.05624e10i | 0.783630 | + | 0.534270i | ||||
\(297\) | 4.18577e10 | − | 1.83391e11i | 0.312156 | − | 1.36764i | ||||
\(298\) | 2.42903e11 | + | 3.66118e10i | 1.78427 | + | 0.268935i | ||||
\(299\) | 1.17126e9 | + | 1.46872e9i | 0.00847489 | + | 0.0106272i | ||||
\(300\) | −1.39038e11 | −0.991032 | ||||||||
\(301\) | −1.14142e11 | + | 1.40875e10i | −0.801487 | + | 0.0989203i | ||||
\(302\) | 2.67678e11 | 1.85175 | ||||||||
\(303\) | −1.10139e11 | − | 1.38110e11i | −0.750673 | − | 0.941315i | ||||
\(304\) | 9.75322e10 | + | 1.47006e10i | 0.654964 | + | 0.0987199i | ||||
\(305\) | 1.49545e10 | − | 6.55200e10i | 0.0989516 | − | 0.433535i | ||||
\(306\) | −1.86554e11 | − | 1.27190e11i | −1.21635 | − | 0.829293i | ||||
\(307\) | 1.24226e10 | + | 2.15165e10i | 0.0798158 | + | 0.138245i | 0.903170 | − | 0.429282i | \(-0.141233\pi\) |
−0.823355 | + | 0.567527i | \(0.807900\pi\) | |||||||
\(308\) | −1.74883e11 | + | 3.02907e11i | −1.10731 | + | 1.91792i | ||||
\(309\) | 7.05344e10 | − | 3.39676e10i | 0.440137 | − | 0.211959i | ||||
\(310\) | 5.26600e11 | + | 1.62434e11i | 3.23857 | + | 0.998966i | ||||
\(311\) | 1.67929e10 | + | 2.24086e11i | 0.101790 | + | 1.35829i | 0.781085 | + | 0.624424i | \(0.214666\pi\) |
−0.679296 | + | 0.733865i | \(0.737715\pi\) | |||||||
\(312\) | 2.56218e10 | + | 1.12257e11i | 0.153079 | + | 0.670681i | ||||
\(313\) | −7.04058e10 | + | 1.79391e11i | −0.414628 | + | 1.05646i | 0.559172 | + | 0.829051i | \(0.311119\pi\) |
−0.973801 | + | 0.227404i | \(0.926976\pi\) | |||||||
\(314\) | −2.96594e10 | + | 3.95778e11i | −0.172179 | + | 2.29757i | ||||
\(315\) | −8.97942e10 | + | 1.35343e10i | −0.513867 | + | 0.0774530i | ||||
\(316\) | −3.08529e10 | − | 2.86273e10i | −0.174062 | − | 0.161506i | ||||
\(317\) | −1.05146e11 | − | 5.06358e10i | −0.584827 | − | 0.281638i | 0.117983 | − | 0.993016i | \(-0.462357\pi\) |
−0.702810 | + | 0.711378i | \(0.748071\pi\) | |||||||
\(318\) | 4.05028e10 | − | 2.76144e10i | 0.222107 | − | 0.151430i | ||||
\(319\) | −2.63388e8 | − | 6.71102e8i | −0.00142409 | − | 0.00362853i | ||||
\(320\) | −1.74198e11 | + | 5.37331e10i | −0.928686 | + | 0.286462i | ||||
\(321\) | 1.09541e11 | − | 1.01639e11i | 0.575841 | − | 0.534302i | ||||
\(322\) | −4.49889e9 | + | 5.64143e9i | −0.0233214 | + | 0.0292441i | ||||
\(323\) | 1.10725e11 | − | 1.38844e11i | 0.566021 | − | 0.709768i | ||||
\(324\) | 7.69954e10 | − | 7.14413e10i | 0.388161 | − | 0.360161i | ||||
\(325\) | −6.66276e10 | + | 2.05519e10i | −0.331268 | + | 0.102183i | ||||
\(326\) | −7.98455e10 | − | 2.03443e11i | −0.391535 | − | 0.997616i | ||||
\(327\) | −1.76208e11 | + | 1.20136e11i | −0.852236 | + | 0.581044i | ||||
\(328\) | 5.60986e11 | + | 2.70157e11i | 2.67621 | + | 1.28879i | ||||
\(329\) | −1.30782e11 | − | 1.21348e11i | −0.615411 | − | 0.571018i | ||||
\(330\) | 4.52752e11 | − | 6.82414e10i | 2.10159 | − | 0.316763i | ||||
\(331\) | −7.18074e9 | + | 9.58204e10i | −0.0328809 | + | 0.438765i | 0.956332 | + | 0.292282i | \(0.0944145\pi\) |
−0.989213 | + | 0.146483i | \(0.953205\pi\) | |||||||
\(332\) | 5.48429e10 | − | 1.39738e11i | 0.247742 | − | 0.631236i | ||||
\(333\) | −1.24926e10 | − | 5.47339e10i | −0.0556744 | − | 0.243925i | ||||
\(334\) | 3.41536e10 | + | 4.55748e11i | 0.150168 | + | 2.00385i | ||||
\(335\) | 3.44325e11 | + | 1.06210e11i | 1.49371 | + | 0.460749i | ||||
\(336\) | −1.48390e11 | + | 7.14607e10i | −0.635151 | + | 0.305873i | ||||
\(337\) | 2.11248e11 | − | 3.65893e11i | 0.892193 | − | 1.54532i | 0.0549527 | − | 0.998489i | \(-0.482499\pi\) |
0.837240 | − | 0.546835i | \(-0.184167\pi\) | |||||||
\(338\) | −1.54672e11 | − | 2.67899e11i | −0.644594 | − | 1.11647i | ||||
\(339\) | −5.71941e10 | − | 3.89943e10i | −0.235208 | − | 0.160362i | ||||
\(340\) | 2.48436e11 | − | 1.08847e12i | 1.00823 | − | 4.41734i | ||||
\(341\) | −4.87407e11 | − | 7.34648e10i | −1.95208 | − | 0.294228i | ||||
\(342\) | −7.40146e10 | − | 9.28114e10i | −0.292550 | − | 0.366846i | ||||
\(343\) | 2.79022e11 | 1.08847 | ||||||||
\(344\) | −4.35377e11 | − | 2.24232e11i | −1.67630 | − | 0.863345i | ||||
\(345\) | 6.37419e9 | 0.0242236 | ||||||||
\(346\) | −4.91985e11 | − | 6.16930e11i | −1.84548 | − | 2.31416i | ||||
\(347\) | 2.20298e11 | + | 3.32046e10i | 0.815695 | + | 0.122946i | 0.543622 | − | 0.839330i | \(-0.317053\pi\) |
0.272073 | + | 0.962277i | \(0.412291\pi\) | |||||||
\(348\) | 2.64200e8 | − | 1.15754e9i | 0.000965666 | − | 0.00423086i | ||||
\(349\) | −1.21230e11 | − | 8.26531e10i | −0.437416 | − | 0.298225i | 0.324518 | − | 0.945879i | \(-0.394798\pi\) |
−0.761935 | + | 0.647654i | \(0.775750\pi\) | |||||||
\(350\) | −1.33909e11 | − | 2.31938e11i | −0.476985 | − | 0.826163i | ||||
\(351\) | 7.76778e10 | − | 1.34542e11i | 0.273159 | − | 0.473125i | ||||
\(352\) | −9.38898e10 | + | 4.52149e10i | −0.325969 | + | 0.156978i | ||||
\(353\) | 2.63433e10 | + | 8.12584e9i | 0.0902993 | + | 0.0278536i | 0.339576 | − | 0.940579i | \(-0.389717\pi\) |
−0.249276 | + | 0.968432i | \(0.580193\pi\) | |||||||
\(354\) | −1.49121e9 | − | 1.98988e10i | −0.00504688 | − | 0.0673459i | ||||
\(355\) | 1.65393e11 | + | 7.24634e11i | 0.552700 | + | 2.42154i | ||||
\(356\) | −1.78954e11 | + | 4.55967e11i | −0.590495 | + | 1.50456i | ||||
\(357\) | −2.21604e10 | + | 2.95710e11i | −0.0722057 | + | 0.963518i | ||||
\(358\) | −2.48022e11 | + | 3.73833e10i | −0.798026 | + | 0.120283i | ||||
\(359\) | 3.07162e11 | + | 2.85004e11i | 0.975982 | + | 0.905579i | 0.995551 | − | 0.0942291i | \(-0.0300386\pi\) |
−0.0195681 | + | 0.999809i | \(0.506229\pi\) | |||||||
\(360\) | −3.48387e11 | − | 1.67774e11i | −1.09320 | − | 0.526459i | ||||
\(361\) | −1.89472e11 | + | 1.29180e11i | −0.587168 | + | 0.400324i | ||||
\(362\) | −1.07982e11 | − | 2.75133e11i | −0.330493 | − | 0.842082i | ||||
\(363\) | −1.67238e11 | + | 5.15861e10i | −0.505539 | + | 0.155938i | ||||
\(364\) | −2.11756e11 | + | 1.96481e11i | −0.632236 | + | 0.586629i | ||||
\(365\) | −4.42245e11 | + | 5.54557e11i | −1.30420 | + | 1.63542i | ||||
\(366\) | −9.14661e10 | + | 1.14695e11i | −0.266438 | + | 0.334102i | ||||
\(367\) | −3.31515e11 | + | 3.07601e11i | −0.953907 | + | 0.885096i | −0.993467 | − | 0.114121i | \(-0.963595\pi\) |
0.0395600 | + | 0.999217i | \(0.487404\pi\) | |||||||
\(368\) | −1.09338e10 | + | 3.37262e9i | −0.0310781 | + | 0.00958633i | ||||
\(369\) | −1.01954e11 | − | 2.59776e11i | −0.286278 | − | 0.729424i | ||||
\(370\) | 3.39895e11 | − | 2.31737e11i | 0.942838 | − | 0.642816i | ||||
\(371\) | 5.74098e10 | + | 2.76471e10i | 0.157327 | + | 0.0757648i | ||||
\(372\) | −5.95072e11 | − | 5.52147e11i | −1.61112 | − | 1.49490i | ||||
\(373\) | −3.04590e11 | + | 4.59096e10i | −0.814754 | + | 0.122804i | −0.543183 | − | 0.839614i | \(-0.682781\pi\) |
−0.271571 | + | 0.962419i | \(0.587543\pi\) | |||||||
\(374\) | −1.10587e11 | + | 1.47568e12i | −0.292268 | + | 3.90004i | ||||
\(375\) | 4.18785e10 | − | 1.06705e11i | 0.109358 | − | 0.278640i | ||||
\(376\) | −1.69048e11 | − | 7.40646e11i | −0.436178 | − | 1.91102i | ||||
\(377\) | −4.44955e7 | − | 5.93751e8i | −0.000113443 | − | 0.00151380i | ||||
\(378\) | 5.70219e11 | + | 1.75889e11i | 1.43658 | + | 0.443125i | ||||
\(379\) | 4.36932e11 | − | 2.10415e11i | 1.08777 | − | 0.523843i | 0.197978 | − | 0.980207i | \(-0.436563\pi\) |
0.889793 | + | 0.456364i | \(0.150848\pi\) | |||||||
\(380\) | 2.93496e11 | − | 5.08350e11i | 0.722065 | − | 1.25065i | ||||
\(381\) | −2.61326e11 | − | 4.52630e11i | −0.635361 | − | 1.10048i | ||||
\(382\) | −9.71520e11 | − | 6.62371e11i | −2.33435 | − | 1.59153i | ||||
\(383\) | −1.32925e11 | + | 5.82383e11i | −0.315655 | + | 1.38298i | 0.529435 | + | 0.848351i | \(0.322404\pi\) |
−0.845090 | + | 0.534625i | \(0.820453\pi\) | |||||||
\(384\) | 4.75265e11 | + | 7.16346e10i | 1.11544 | + | 0.168125i | ||||
\(385\) | 3.71077e11 | + | 4.65316e11i | 0.860778 | + | 1.07938i | ||||
\(386\) | 2.48775e11 | 0.570380 | ||||||||
\(387\) | 7.46859e10 | + | 2.06395e11i | 0.169254 | + | 0.467736i | ||||
\(388\) | −2.98022e11 | −0.667584 | ||||||||
\(389\) | −1.42697e10 | − | 1.78937e10i | −0.0315967 | − | 0.0396210i | 0.765782 | − | 0.643100i | \(-0.222352\pi\) |
−0.797379 | + | 0.603479i | \(0.793781\pi\) | |||||||
\(390\) | 3.73924e11 | + | 5.63599e10i | 0.818450 | + | 0.123361i | ||||
\(391\) | −4.58422e9 | + | 2.00848e10i | −0.00991905 | + | 0.0434582i | ||||
\(392\) | 2.53342e11 | + | 1.72725e11i | 0.541900 | + | 0.369461i | ||||
\(393\) | 2.15422e11 | + | 3.73121e11i | 0.455536 | + | 0.789012i | ||||
\(394\) | 7.38049e10 | − | 1.27834e11i | 0.154295 | − | 0.267247i | ||||
\(395\) | −6.45251e10 | + | 3.10737e10i | −0.133365 | + | 0.0642252i | ||||
\(396\) | 6.37872e11 | + | 1.96757e11i | 1.30348 | + | 0.402071i | ||||
\(397\) | 2.56664e10 | + | 3.42494e11i | 0.0518569 | + | 0.691983i | 0.961185 | + | 0.275904i | \(0.0889771\pi\) |
−0.909328 | + | 0.416079i | \(0.863404\pi\) | |||||||
\(398\) | 1.18257e11 | + | 5.18119e11i | 0.236240 | + | 1.03504i | ||||
\(399\) | −5.69600e10 | + | 1.45132e11i | −0.112510 | + | 0.286671i | ||||
\(400\) | 3.17371e10 | − | 4.23502e11i | 0.0619865 | − | 0.827152i | ||||
\(401\) | −1.99174e11 | + | 3.00207e10i | −0.384665 | + | 0.0579790i | −0.338528 | − | 0.940956i | \(-0.609929\pi\) |
−0.0461369 | + | 0.998935i | \(0.514691\pi\) | |||||||
\(402\) | −5.76593e11 | − | 5.35000e11i | −1.10116 | − | 1.02173i | ||||
\(403\) | −3.66777e11 | − | 1.76631e11i | −0.692675 | − | 0.333575i | ||||
\(404\) | 1.55922e12 | − | 1.06306e12i | 2.91199 | − | 1.98536i | ||||
\(405\) | −6.52959e10 | − | 1.66371e11i | −0.120597 | − | 0.307277i | ||||
\(406\) | 2.18542e9 | − | 6.74112e8i | 0.00399179 | − | 0.00123130i | ||||
\(407\) | −2.69729e11 | + | 2.50272e11i | −0.487251 | + | 0.452102i | ||||
\(408\) | −7.87296e11 | + | 9.87238e11i | −1.40659 | + | 1.76381i | ||||
\(409\) | 5.19637e11 | − | 6.51604e11i | 0.918216 | − | 1.15141i | −0.0698776 | − | 0.997556i | \(-0.522261\pi\) |
0.988094 | − | 0.153851i | \(-0.0491677\pi\) | |||||||
\(410\) | 1.49899e12 | − | 1.39086e12i | 2.61982 | − | 2.43083i | ||||
\(411\) | 1.68897e11 | − | 5.20979e10i | 0.291967 | − | 0.0900600i | ||||
\(412\) | 3.05546e11 | + | 7.78519e11i | 0.522444 | + | 1.33116i | ||||
\(413\) | 2.14311e10 | − | 1.46115e10i | 0.0362468 | − | 0.0247126i | ||||
\(414\) | 1.24073e10 | + | 5.97504e9i | 0.0207575 | + | 0.00999631i | ||||
\(415\) | −1.87247e11 | − | 1.73740e11i | −0.309883 | − | 0.287529i | ||||
\(416\) | −8.51046e10 | + | 1.28275e10i | −0.139326 | + | 0.0210001i | ||||
\(417\) | 3.93049e9 | − | 5.24487e10i | 0.00636552 | − | 0.0849420i | ||||
\(418\) | −2.84247e11 | + | 7.24249e11i | −0.455409 | + | 1.16036i | ||||
\(419\) | −1.59070e11 | − | 6.96933e11i | −0.252131 | − | 1.10466i | −0.929444 | − | 0.368963i | \(-0.879713\pi\) |
0.677313 | − | 0.735695i | \(-0.263144\pi\) | |||||||
\(420\) | 7.32480e10 | + | 9.77427e11i | 0.114861 | + | 1.53272i | ||||
\(421\) | 2.75775e11 | + | 8.50654e10i | 0.427844 | + | 0.131972i | 0.501196 | − | 0.865334i | \(-0.332893\pi\) |
−0.0733520 | + | 0.997306i | \(0.523370\pi\) | |||||||
\(422\) | 1.13518e12 | − | 5.46674e11i | 1.74244 | − | 0.839117i | ||||
\(423\) | −1.70245e11 | + | 2.94873e11i | −0.258549 | + | 0.447819i | ||||
\(424\) | 1.35667e11 | + | 2.34981e11i | 0.203857 | + | 0.353091i | ||||
\(425\) | −6.31779e11 | − | 4.30740e11i | −0.939324 | − | 0.640420i | ||||
\(426\) | 3.61033e11 | − | 1.58179e12i | 0.531133 | − | 2.32705i | ||||
\(427\) | −1.88560e11 | − | 2.84209e10i | −0.274489 | − | 0.0413725i | ||||
\(428\) | 9.95307e11 | + | 1.24808e12i | 1.43371 | + | 1.79781i | ||||
\(429\) | −3.38231e11 | −0.482121 | ||||||||
\(430\) | −1.20788e12 | + | 1.06196e12i | −1.70379 | + | 1.49796i | ||||
\(431\) | 5.42313e11 | 0.757012 | 0.378506 | − | 0.925599i | \(-0.376438\pi\) | ||||
0.378506 | + | 0.925599i | \(0.376438\pi\) | |||||||
\(432\) | 5.89980e11 | + | 7.39811e11i | 0.815005 | + | 1.02198i | ||||
\(433\) | −6.24186e11 | − | 9.40808e10i | −0.853332 | − | 0.128619i | −0.292212 | − | 0.956354i | \(-0.594391\pi\) |
−0.561120 | + | 0.827734i | \(0.689629\pi\) | |||||||
\(434\) | 3.47948e11 | − | 1.52446e12i | 0.470772 | − | 2.06259i | ||||
\(435\) | −1.66927e9 | − | 1.13809e9i | −0.00223524 | − | 0.00152396i | ||||
\(436\) | −1.13914e12 | − | 1.97304e12i | −1.50969 | − | 2.61486i | ||||
\(437\) | −5.41569e9 | + | 9.38025e9i | −0.00710374 | + | 0.0123040i | ||||
\(438\) | 1.39499e12 | − | 6.71794e11i | 1.81109 | − | 0.872173i | ||||
\(439\) | −4.00061e10 | − | 1.23402e10i | −0.0514086 | − | 0.0158575i | 0.268944 | − | 0.963156i | \(-0.413325\pi\) |
−0.320353 | + | 0.947298i | \(0.603801\pi\) | |||||||
\(440\) | 1.89390e11 | + | 2.52723e12i | 0.240891 | + | 3.21446i | ||||
\(441\) | −3.05800e10 | − | 1.33980e11i | −0.0385003 | − | 0.168681i | ||||
\(442\) | −4.46508e11 | + | 1.13768e12i | −0.556453 | + | 1.41782i | ||||
\(443\) | 7.36317e9 | − | 9.82547e10i | 0.00908340 | − | 0.121210i | −0.990819 | − | 0.135197i | \(-0.956833\pi\) |
0.999902 | + | 0.0139872i | \(0.00445241\pi\) | |||||||
\(444\) | −5.99211e11 | + | 9.03165e10i | −0.731739 | + | 0.110292i | ||||
\(445\) | 6.10990e11 | + | 5.66916e11i | 0.738609 | + | 0.685329i | ||||
\(446\) | 1.16893e12 | + | 5.62927e11i | 1.39888 | + | 0.673667i | ||||
\(447\) | −5.08736e11 | + | 3.46851e11i | −0.602711 | + | 0.410921i | ||||
\(448\) | 1.88975e11 | + | 4.81501e11i | 0.221643 | + | 0.564737i | ||||
\(449\) | 1.43455e12 | − | 4.42499e11i | 1.66574 | − | 0.513811i | 0.688368 | − | 0.725362i | \(-0.258327\pi\) |
0.977367 | + | 0.211550i | \(0.0678512\pi\) | |||||||
\(450\) | −3.74686e11 | + | 3.47658e11i | −0.430736 | + | 0.399665i | ||||
\(451\) | −1.14037e12 | + | 1.42998e12i | −1.29793 | + | 1.62755i | ||||
\(452\) | 4.61066e11 | − | 5.78158e11i | 0.519565 | − | 0.651514i | ||||
\(453\) | −4.91840e11 | + | 4.56361e11i | −0.548759 | + | 0.509174i | ||||
\(454\) | 9.78283e11 | − | 3.01760e11i | 1.08072 | − | 0.333358i | ||||
\(455\) | 1.79579e11 | + | 4.57560e11i | 0.196429 | + | 0.500492i | ||||
\(456\) | −5.48534e11 | + | 3.73984e11i | −0.594103 | + | 0.405052i | ||||
\(457\) | −8.18983e11 | − | 3.94402e11i | −0.878319 | − | 0.422976i | −0.0603085 | − | 0.998180i | \(-0.519208\pi\) |
−0.818010 | + | 0.575204i | \(0.804923\pi\) | |||||||
\(458\) | −8.26224e11 | − | 7.66624e11i | −0.877411 | − | 0.814119i | ||||
\(459\) | 1.68468e12 | − | 2.53925e11i | 1.77158 | − | 0.267023i | ||||
\(460\) | −5.08871e9 | + | 6.79041e10i | −0.00529904 | + | 0.0707108i | ||||
\(461\) | 3.88330e11 | − | 9.89448e11i | 0.400448 | − | 1.02033i | −0.578403 | − | 0.815751i | \(-0.696324\pi\) |
0.978851 | − | 0.204574i | \(-0.0655810\pi\) | |||||||
\(462\) | −2.89092e11 | − | 1.26659e12i | −0.295221 | − | 1.29345i | ||||
\(463\) | 3.79351e10 | + | 5.06208e11i | 0.0383642 | + | 0.511935i | 0.982975 | + | 0.183741i | \(0.0588209\pi\) |
−0.944610 | + | 0.328194i | \(0.893560\pi\) | |||||||
\(464\) | 3.46549e9 | + | 1.06896e9i | 0.00347083 | + | 0.00107061i | ||||
\(465\) | −1.24452e12 | + | 5.99329e11i | −1.23442 | + | 0.594466i | ||||
\(466\) | −1.70846e12 | + | 2.95914e12i | −1.67829 | + | 2.90689i | ||||
\(467\) | −7.93633e10 | − | 1.37461e11i | −0.0772136 | − | 0.133738i | 0.824833 | − | 0.565376i | \(-0.191269\pi\) |
−0.902047 | + | 0.431638i | \(0.857936\pi\) | |||||||
\(468\) | 4.55510e11 | + | 3.10562e11i | 0.438926 | + | 0.299255i | ||||
\(469\) | 2.27511e11 | − | 9.96791e11i | 0.217132 | − | 0.951319i | ||||
\(470\) | −2.46707e12 | − | 3.71851e11i | −2.33207 | − | 0.351503i | ||||
\(471\) | −6.20258e11 | − | 7.77779e11i | −0.580735 | − | 0.728219i | ||||
\(472\) | 1.10450e11 | 0.102430 | ||||||||
\(473\) | 9.26746e11 | − | 1.10028e12i | 0.851306 | − | 1.01071i | ||||
\(474\) | 1.56332e11 | 0.142248 | ||||||||
\(475\) | −2.50656e11 | − | 3.14313e11i | −0.225921 | − | 0.283296i | ||||
\(476\) | −3.13251e12 | − | 4.72149e11i | −2.79680 | − | 0.421549i | ||||
\(477\) | 2.70607e10 | − | 1.18561e11i | 0.0239335 | − | 0.104860i | ||||
\(478\) | 5.90366e10 | + | 4.02505e10i | 0.0517244 | + | 0.0352651i | ||||
\(479\) | 2.06679e11 | + | 3.57979e11i | 0.179385 | + | 0.310704i | 0.941670 | − | 0.336537i | \(-0.109256\pi\) |
−0.762285 | + | 0.647242i | \(0.775922\pi\) | |||||||
\(480\) | −1.46016e11 | + | 2.52907e11i | −0.125550 | + | 0.217458i | ||||
\(481\) | −2.73795e11 | + | 1.31853e11i | −0.233223 | + | 0.112314i | ||||
\(482\) | 8.00153e11 | + | 2.46814e11i | 0.675245 | + | 0.208285i | ||||
\(483\) | −1.35160e9 | − | 1.80358e10i | −0.00113002 | − | 0.0150790i | ||||
\(484\) | −4.16034e11 | − | 1.82277e12i | −0.344608 | − | 1.50983i | ||||
\(485\) | −1.85270e11 | + | 4.72059e11i | −0.152043 | + | 0.387399i | ||||
\(486\) | 1.41943e11 | − | 1.89410e12i | 0.115412 | − | 1.54006i | ||||
\(487\) | −4.94792e11 | + | 7.45779e10i | −0.398605 | + | 0.0600800i | −0.345286 | − | 0.938498i | \(-0.612218\pi\) |
−0.0533189 | + | 0.998578i | \(0.516980\pi\) | |||||||
\(488\) | −5.95235e11 | − | 5.52298e11i | −0.475116 | − | 0.440843i | ||||
\(489\) | 4.93557e11 | + | 2.37684e11i | 0.390344 | + | 0.187980i | ||||
\(490\) | 8.32008e11 | − | 5.67254e11i | 0.651997 | − | 0.444524i | ||||
\(491\) | −6.58443e11 | − | 1.67769e12i | −0.511271 | − | 1.30270i | −0.920670 | − | 0.390342i | \(-0.872357\pi\) |
0.409398 | − | 0.912356i | \(-0.365739\pi\) | |||||||
\(492\) | −2.87836e12 | + | 8.87858e11i | −2.21464 | + | 0.683125i | ||||
\(493\) | 4.78657e9 | − | 4.44129e9i | 0.00364933 | − | 0.00338608i | ||||
\(494\) | −4.00635e11 | + | 5.02380e11i | −0.302676 | + | 0.379543i | ||||
\(495\) | 7.08201e11 | − | 8.88055e11i | 0.530192 | − | 0.664839i | ||||
\(496\) | 1.81764e12 | − | 1.68652e12i | 1.34847 | − | 1.25119i | ||||
\(497\) | 2.01528e12 | − | 6.21633e11i | 1.48161 | − | 0.457015i | ||||
\(498\) | 2.03708e11 | + | 5.19039e11i | 0.148414 | + | 0.378153i | ||||
\(499\) | −1.83750e12 | + | 1.25279e12i | −1.32671 | + | 0.904532i | −0.999187 | − | 0.0403124i | \(-0.987165\pi\) |
−0.327518 | + | 0.944845i | \(0.606212\pi\) | |||||||
\(500\) | 1.10329e12 | + | 5.31317e11i | 0.789451 | + | 0.380179i | ||||
\(501\) | −8.39751e11 | − | 7.79175e11i | −0.595499 | − | 0.552542i | ||||
\(502\) | −3.59449e12 | + | 5.41783e11i | −2.52622 | + | 0.380766i | ||||
\(503\) | −6.56341e10 | + | 8.75827e11i | −0.0457166 | + | 0.610045i | 0.926550 | + | 0.376171i | \(0.122760\pi\) |
−0.972267 | + | 0.233874i | \(0.924860\pi\) | |||||||
\(504\) | −4.00846e11 | + | 1.02134e12i | −0.276720 | + | 0.705070i | ||||
\(505\) | −7.14544e11 | − | 3.13062e12i | −0.488897 | − | 2.14200i | ||||
\(506\) | −6.74485e9 | − | 9.00037e10i | −0.00457399 | − | 0.0610356i | ||||
\(507\) | 7.40936e11 | + | 2.28548e11i | 0.498018 | + | 0.153618i | ||||
\(508\) | 5.03049e12 | − | 2.42255e12i | 3.35138 | − | 1.61394i | ||||
\(509\) | −1.30510e12 | + | 2.26049e12i | −0.861813 | + | 1.49270i | 0.00836491 | + | 0.999965i | \(0.497337\pi\) |
−0.870178 | + | 0.492738i | \(0.835996\pi\) | |||||||
\(510\) | 2.07348e12 | + | 3.59138e12i | 1.35717 | + | 2.35069i | ||||
\(511\) | 1.66290e12 | + | 1.13374e12i | 1.07888 | + | 0.735565i | ||||
\(512\) | −6.86713e11 | + | 3.00869e12i | −0.441632 | + | 1.93492i | ||||
\(513\) | 8.85742e11 | + | 1.33504e11i | 0.564650 | + | 0.0851073i | ||||
\(514\) | −1.47422e12 | − | 1.84862e12i | −0.931600 | − | 1.16819i | ||||
\(515\) | 1.42310e12 | 0.891462 | ||||||||
\(516\) | 2.28180e12 | − | 6.37407e11i | 1.41695 | − | 0.395816i | ||||
\(517\) | 2.23158e12 | 1.37374 | ||||||||
\(518\) | −7.27772e11 | − | 9.12597e11i | −0.444131 | − | 0.556923i | ||||
\(519\) | 1.95578e12 | + | 2.94786e11i | 1.18322 | + | 0.178342i | ||||
\(520\) | −4.65752e11 | + | 2.04059e12i | −0.279344 | + | 1.22389i | ||||
\(521\) | −1.87431e12 | − | 1.27788e12i | −1.11448 | − | 0.759839i | −0.141318 | − | 0.989964i | \(-0.545134\pi\) |
−0.973161 | + | 0.230126i | \(0.926086\pi\) | |||||||
\(522\) | −2.18239e9 | − | 3.78001e9i | −0.00128652 | − | 0.00222831i | ||||
\(523\) | 4.71866e11 | − | 8.17295e11i | 0.275779 | − | 0.477663i | −0.694553 | − | 0.719442i | \(-0.744398\pi\) |
0.970331 | + | 0.241779i | \(0.0777310\pi\) | |||||||
\(524\) | −4.14683e12 | + | 1.99701e12i | −2.40284 | + | 1.15715i | ||||
\(525\) | 6.41476e11 | + | 1.97869e11i | 0.368522 | + | 0.113674i | ||||
\(526\) | 9.82144e10 | + | 1.31058e12i | 0.0559422 | + | 0.746496i | ||||
\(527\) | −9.93420e11 | − | 4.35246e12i | −0.561029 | − | 2.45803i | ||||
\(528\) | 7.52650e11 | − | 1.91772e12i | 0.421445 | − | 1.07382i | ||||
\(529\) | −1.34506e11 | + | 1.79486e12i | −0.0746780 | + | 0.996508i | ||||
\(530\) | 8.81142e11 | − | 1.32811e11i | 0.485070 | − | 0.0731126i | ||||
\(531\) | −3.62882e10 | − | 3.36705e10i | −0.0198080 | − | 0.0183791i | ||||
\(532\) | −1.50061e12 | − | 7.22657e11i | −0.812206 | − | 0.391138i | ||||
\(533\) | −1.24809e12 | + | 8.50931e11i | −0.669842 | + | 0.456691i | ||||
\(534\) | −6.64703e11 | − | 1.69364e12i | −0.353746 | − | 0.901331i | ||||
\(535\) | 2.59567e12 | − | 8.00657e11i | 1.36980 | − | 0.422527i | ||||
\(536\) | 3.19148e12 | − | 2.96126e12i | 1.67013 | − | 1.54966i | ||||
\(537\) | 3.91988e11 | − | 4.91538e11i | 0.203418 | − | 0.255078i | ||||
\(538\) | −2.34075e12 | + | 2.93521e12i | −1.20458 | + | 1.51049i | ||||
\(539\) | −6.60252e11 | + | 6.12625e11i | −0.336946 | + | 0.312640i | ||||
\(540\) | 5.38119e12 | − | 1.65988e12i | 2.72337 | − | 0.840047i | ||||
\(541\) | −6.82145e11 | − | 1.73808e12i | −0.342365 | − | 0.872332i | −0.993548 | − | 0.113411i | \(-0.963822\pi\) |
0.651183 | − | 0.758921i | \(-0.274273\pi\) | |||||||
\(542\) | −4.80316e12 | + | 3.27474e12i | −2.39073 | + | 1.62997i | ||||
\(543\) | 6.67479e11 | + | 3.21441e11i | 0.329487 | + | 0.158673i | ||||
\(544\) | −6.91887e11 | − | 6.41978e11i | −0.338720 | − | 0.314286i | ||||
\(545\) | −3.83341e12 | + | 5.77794e11i | −1.86123 | + | 0.280536i | ||||
\(546\) | 8.01831e10 | − | 1.06997e12i | 0.0386114 | − | 0.515234i | ||||
\(547\) | −1.67727e11 | + | 4.27363e11i | −0.0801053 | + | 0.204105i | −0.965315 | − | 0.261086i | \(-0.915919\pi\) |
0.885210 | + | 0.465191i | \(0.154014\pi\) | |||||||
\(548\) | 4.20162e11 | + | 1.84085e12i | 0.199024 | + | 0.871979i | ||||
\(549\) | 2.71966e10 | + | 3.62914e11i | 0.0127773 | + | 0.170501i | ||||
\(550\) | 3.20115e12 | + | 9.87423e11i | 1.49167 | + | 0.460120i | ||||
\(551\) | 3.09306e9 | − | 1.48954e9i | 0.00142957 | − | 0.000688446i | ||||
\(552\) | 3.85077e10 | − | 6.66973e10i | 0.0176531 | − | 0.0305761i | ||||
\(553\) | 1.01605e11 | + | 1.75985e11i | 0.0462011 | + | 0.0800226i | ||||
\(554\) | 1.39034e12 | + | 9.47916e11i | 0.627085 | + | 0.427539i | ||||
\(555\) | −2.29449e11 | + | 1.00528e12i | −0.102652 | + | 0.449748i | ||||
\(556\) | 5.55597e11 | + | 8.37428e10i | 0.246561 | + | 0.0371630i | ||||
\(557\) | 1.30385e12 | + | 1.63498e12i | 0.573958 | + | 0.719721i | 0.981069 | − | 0.193658i | \(-0.0620352\pi\) |
−0.407111 | + | 0.913379i | \(0.633464\pi\) | |||||||
\(558\) | −2.98425e12 | −1.30311 | ||||||||
\(559\) | 9.99233e11 | − | 6.42733e11i | 0.432826 | − | 0.278405i | ||||
\(560\) | −2.99391e12 | −1.28645 | ||||||||
\(561\) | −2.31267e12 | − | 2.89999e12i | −0.985780 | − | 1.23613i | ||||
\(562\) | 4.03759e12 | + | 6.08568e11i | 1.70729 | + | 0.257333i | ||||
\(563\) | −2.87426e11 | + | 1.25930e12i | −0.120570 | + | 0.528251i | 0.878183 | + | 0.478325i | \(0.158756\pi\) |
−0.998753 | + | 0.0499263i | \(0.984101\pi\) | |||||||
\(564\) | 3.03657e12 | + | 2.07030e12i | 1.26365 | + | 0.861544i | ||||
\(565\) | −6.29159e11 | − | 1.08974e12i | −0.259742 | − | 0.449887i | ||||
\(566\) | 2.94141e12 | − | 5.09467e12i | 1.20471 | − | 2.08661i | ||||
\(567\) | −4.56902e11 | + | 2.20033e11i | −0.185652 | + | 0.0894053i | ||||
\(568\) | 8.58149e12 | + | 2.64704e12i | 3.45935 | + | 1.06707i | ||||
\(569\) | −2.46091e11 | − | 3.28386e12i | −0.0984216 | − | 1.31334i | −0.799675 | − | 0.600433i | \(-0.794995\pi\) |
0.701254 | − | 0.712912i | \(-0.252624\pi\) | |||||||
\(570\) | 4.85166e11 | + | 2.12565e12i | 0.192510 | + | 0.843441i | ||||
\(571\) | −1.70889e12 | + | 4.35417e12i | −0.672745 | + | 1.71413i | 0.0269021 | + | 0.999638i | \(0.491436\pi\) |
−0.699647 | + | 0.714489i | \(0.746659\pi\) | |||||||
\(572\) | 2.70021e11 | − | 3.60317e12i | 0.105467 | − | 1.40735i | ||||
\(573\) | 2.91436e12 | − | 4.39269e11i | 1.12940 | − | 0.170230i | ||||
\(574\) | −4.25329e12 | − | 3.94647e12i | −1.63539 | − | 1.51742i | ||||
\(575\) | 4.20183e10 | + | 2.02349e10i | 0.0160300 | + | 0.00771963i | ||||
\(576\) | 8.15650e11 | − | 5.56101e11i | 0.308747 | − | 0.210500i | ||||
\(577\) | 1.60197e12 | + | 4.08176e12i | 0.601678 | + | 1.53305i | 0.829010 | + | 0.559233i | \(0.188904\pi\) |
−0.227332 | + | 0.973817i | \(0.573000\pi\) | |||||||
\(578\) | −8.31094e12 | + | 2.56359e12i | −3.09724 | + | 0.955372i | ||||
\(579\) | −4.57107e11 | + | 4.24133e11i | −0.169030 | + | 0.156837i | ||||
\(580\) | 1.34566e10 | − | 1.68741e10i | 0.00493754 | − | 0.00619148i | ||||
\(581\) | −4.51893e11 | + | 5.66655e11i | −0.164529 | + | 0.206313i | ||||
\(582\) | 8.11465e11 | − | 7.52930e11i | 0.293168 | − | 0.272020i | ||||
\(583\) | −7.61625e11 | + | 2.34930e11i | −0.273044 | + | 0.0842229i | ||||
\(584\) | 3.13101e12 | + | 7.97768e12i | 1.11385 | + | 2.83804i | ||||
\(585\) | 7.75095e11 | − | 5.28451e11i | 0.273624 | − | 0.186553i | ||||
\(586\) | −8.53633e12 | − | 4.11088e12i | −2.99042 | − | 1.44011i | ||||
\(587\) | 3.36461e12 | + | 3.12190e12i | 1.16967 | + | 1.08529i | 0.994919 | + | 0.100682i | \(0.0321024\pi\) |
0.174751 | + | 0.984613i | \(0.444088\pi\) | |||||||
\(588\) | −1.46677e12 | + | 2.21080e11i | −0.506016 | + | 0.0762697i | ||||
\(589\) | 1.75407e11 | − | 2.34064e12i | 0.0600520 | − | 0.801338i | ||||
\(590\) | 1.32521e11 | − | 3.37658e11i | 0.0450247 | − | 0.114721i | ||||
\(591\) | 8.23306e10 | + | 3.60714e11i | 0.0277599 | + | 0.121624i | ||||
\(592\) | −1.38322e11 | − | 1.84578e12i | −0.0462854 | − | 0.617635i | ||||
\(593\) | 2.02535e12 | + | 6.24738e11i | 0.672596 | + | 0.207468i | 0.612196 | − | 0.790706i | \(-0.290286\pi\) |
0.0603996 | + | 0.998174i | \(0.480762\pi\) | |||||||
\(594\) | −6.72494e12 | + | 3.23856e12i | −2.21641 | + | 1.06736i | ||||
\(595\) | −2.69524e12 | + | 4.66829e12i | −0.881598 | + | 1.52697i | ||||
\(596\) | −3.28885e12 | − | 5.69646e12i | −1.06767 | − | 1.84926i | ||||
\(597\) | −1.10062e12 | − | 7.50391e11i | −0.354612 | − | 0.241771i | ||||
\(598\) | 1.65871e10 | − | 7.26728e10i | 0.00530414 | − | 0.0232389i | ||||
\(599\) | 3.15884e12 | + | 4.76119e11i | 1.00255 | + | 0.151111i | 0.629748 | − | 0.776799i | \(-0.283158\pi\) |
0.372805 | + | 0.927910i | \(0.378396\pi\) | |||||||
\(600\) | 1.78226e12 | + | 2.23489e12i | 0.561425 | + | 0.704004i | ||||
\(601\) | 4.03292e12 | 1.26091 | 0.630456 | − | 0.776225i | \(-0.282868\pi\) | ||||
0.630456 | + | 0.776225i | \(0.282868\pi\) | |||||||
\(602\) | 3.26094e12 | + | 3.19253e12i | 1.01195 | + | 0.990719i | ||||
\(603\) | −1.95130e12 | −0.601029 | ||||||||
\(604\) | −4.46895e12 | − | 5.60389e12i | −1.36628 | − | 1.71326i | ||||
\(605\) | −3.14585e12 | − | 4.74160e11i | −0.954637 | − | 0.143888i | ||||
\(606\) | −1.55976e12 | + | 6.83376e12i | −0.469820 | + | 2.05842i | ||||
\(607\) | 3.10323e12 | + | 2.11575e12i | 0.927823 | + | 0.632579i | 0.930056 | − | 0.367418i | \(-0.119758\pi\) |
−0.00223255 | + | 0.999998i | \(0.500711\pi\) | |||||||
\(608\) | −2.48119e11 | − | 4.29754e11i | −0.0736366 | − | 0.127542i | ||||
\(609\) | −2.86626e9 | + | 4.96452e9i | −0.000844381 | + | 0.00146251i | ||||
\(610\) | −2.40262e12 | + | 1.15704e12i | −0.702588 | + | 0.338349i | ||||
\(611\) | 1.76116e12 | + | 5.43246e11i | 0.511227 | + | 0.157693i | ||||
\(612\) | 4.51812e11 | + | 6.02901e12i | 0.130189 | + | 1.73726i | ||||
\(613\) | 1.82947e11 | + | 8.01542e11i | 0.0523302 | + | 0.229274i | 0.994330 | − | 0.106340i | \(-0.0339133\pi\) |
−0.942000 | + | 0.335614i | \(0.891056\pi\) | |||||||
\(614\) | 3.60175e11 | − | 9.17711e11i | 0.102272 | − | 0.260584i | ||||
\(615\) | −3.83032e11 | + | 5.11120e12i | −0.107968 | + | 1.44074i | ||||
\(616\) | 7.11066e12 | − | 1.07176e12i | 1.98974 | − | 0.299905i | ||||
\(617\) | −3.56439e12 | − | 3.30727e12i | −0.990151 | − | 0.918726i | 0.00654252 | − | 0.999979i | \(-0.497917\pi\) |
−0.996694 | + | 0.0812527i | \(0.974108\pi\) | |||||||
\(618\) | −2.79882e12 | − | 1.34784e12i | −0.771839 | − | 0.371698i | ||||
\(619\) | −2.90329e12 | + | 1.97943e12i | −0.794846 | + | 0.541917i | −0.891297 | − | 0.453421i | \(-0.850203\pi\) |
0.0964504 | + | 0.995338i | \(0.469251\pi\) | |||||||
\(620\) | −5.39111e12 | − | 1.37363e13i | −1.46526 | − | 3.73343i | ||||
\(621\) | −9.92954e10 | + | 3.06286e10i | −0.0267927 | + | 0.00826446i | ||||
\(622\) | 6.53640e12 | − | 6.06489e12i | 1.75098 | − | 1.62468i | ||||
\(623\) | 1.47454e12 | − | 1.84901e12i | 0.392156 | − | 0.491749i | ||||
\(624\) | 1.06083e12 | − | 1.33024e12i | 0.280102 | − | 0.351237i | ||||
\(625\) | 3.41117e12 | − | 3.16510e12i | 0.894217 | − | 0.829712i | ||||
\(626\) | 7.30714e12 | − | 2.25396e12i | 1.90179 | − | 0.586625i | ||||
\(627\) | −7.12477e11 | − | 1.81536e12i | −0.184106 | − | 0.469093i | ||||
\(628\) | 8.78083e12 | − | 5.98667e12i | 2.25277 | − | 1.53591i | ||||
\(629\) | −3.00258e12 | − | 1.44597e12i | −0.764832 | − | 0.368324i | ||||
\(630\) | 2.64140e12 | + | 2.45086e12i | 0.668040 | + | 0.619850i | ||||
\(631\) | 5.08072e12 | − | 7.65795e11i | 1.27583 | − | 0.192300i | 0.524035 | − | 0.851697i | \(-0.324426\pi\) |
0.751796 | + | 0.659396i | \(0.229188\pi\) | |||||||
\(632\) | −6.46647e10 | + | 8.62890e11i | −0.0161228 | + | 0.215144i | ||||
\(633\) | −1.15380e12 | + | 2.93982e12i | −0.285635 | + | 0.727787i | ||||
\(634\) | 1.03046e12 | + | 4.51472e12i | 0.253295 | + | 1.10976i | ||||
\(635\) | −7.09991e11 | − | 9.47417e12i | −0.173289 | − | 2.31238i | ||||
\(636\) | −1.25431e12 | − | 3.86905e11i | −0.303983 | − | 0.0937663i | ||||
\(637\) | −6.70205e11 | + | 3.22754e11i | −0.161280 | + | 0.0776683i | ||||
\(638\) | −1.43035e10 | + | 2.47743e10i | −0.00341781 | + | 0.00591983i | ||||
\(639\) | −2.01249e12 | − | 3.48574e12i | −0.477508 | − | 0.827068i | ||||
\(640\) | 7.21878e12 | + | 4.92168e12i | 1.70080 | + | 1.15959i | ||||
\(641\) | −3.10828e11 | + | 1.36183e12i | −0.0727209 | + | 0.318611i | −0.998185 | − | 0.0602246i | \(-0.980818\pi\) |
0.925464 | + | 0.378836i | \(0.123675\pi\) | |||||||
\(642\) | −5.86322e12 | − | 8.83739e11i | −1.36216 | − | 0.205313i | ||||
\(643\) | 3.10133e12 | + | 3.88895e12i | 0.715483 | + | 0.897187i | 0.998073 | − | 0.0620536i | \(-0.0197650\pi\) |
−0.282590 | + | 0.959241i | \(0.591194\pi\) | |||||||
\(644\) | 1.93214e11 | 0.0442642 | ||||||||
\(645\) | 4.08879e11 | − | 4.01057e12i | 0.0930201 | − | 0.912404i | ||||
\(646\) | −7.04675e12 | −1.59200 | ||||||||
\(647\) | −3.96724e11 | − | 4.97476e11i | −0.0890059 | − | 0.111610i | 0.735334 | − | 0.677704i | \(-0.237025\pi\) |
−0.824340 | + | 0.566095i | \(0.808454\pi\) | |||||||
\(648\) | −2.13531e12 | − | 3.21847e11i | −0.475745 | − | 0.0717070i | ||||
\(649\) | −7.21955e10 | + | 3.16309e11i | −0.0159738 | + | 0.0699860i | ||||
\(650\) | 2.28597e12 | + | 1.55855e12i | 0.502296 | + | 0.342460i | ||||
\(651\) | 1.95970e12 | + | 3.39429e12i | 0.427636 | + | 0.740687i | ||||
\(652\) | −2.92607e12 | + | 5.06810e12i | −0.634119 | + | 1.09833i | ||||
\(653\) | 3.39276e12 | − | 1.63387e12i | 0.730204 | − | 0.351648i | −0.0315606 | − | 0.999502i | \(-0.510048\pi\) |
0.761764 | + | 0.647854i | \(0.224333\pi\) | |||||||
\(654\) | 8.08643e12 | + | 2.49433e12i | 1.72845 | + | 0.533156i | ||||
\(655\) | 5.85274e11 | + | 7.80994e12i | 0.124243 | + | 1.65791i | ||||
\(656\) | −2.04734e12 | − | 8.97000e12i | −0.431642 | − | 1.89115i | ||||
\(657\) | 1.40330e12 | − | 3.57555e12i | 0.293837 | − | 0.748683i | ||||
\(658\) | −5.29032e11 | + | 7.05944e12i | −0.110018 | + | 1.46809i | ||||
\(659\) | 9.00915e11 | − | 1.35791e11i | 0.186080 | − | 0.0280470i | −0.0553411 | − | 0.998468i | \(-0.517625\pi\) |
0.241421 | + | 0.970420i | \(0.422387\pi\) | |||||||
\(660\) | −8.98743e12 | − | 8.33912e12i | −1.84369 | − | 1.71069i | ||||
\(661\) | −3.94155e12 | − | 1.89815e12i | −0.803082 | − | 0.386744i | −0.0131310 | − | 0.999914i | \(-0.504180\pi\) |
−0.789951 | + | 0.613170i | \(0.789894\pi\) | |||||||
\(662\) | 3.15031e12 | − | 2.14785e12i | 0.637518 | − | 0.434653i | ||||
\(663\) | −1.11919e12 | − | 2.85165e12i | −0.224954 | − | 0.573173i | ||||
\(664\) | −2.94914e12 | + | 9.09690e11i | −0.588762 | + | 0.181609i | ||||
\(665\) | −2.07755e12 | + | 1.92768e12i | −0.411958 | + | 0.382241i | ||||
\(666\) | −1.38895e12 | + | 1.74169e12i | −0.273560 | + | 0.343034i | ||||
\(667\) | −2.48306e8 | + | 3.11366e8i | −4.85759e−5 | + | 6.09123e-5i | ||||
\(668\) | 8.97094e12 | − | 8.32382e12i | 1.74319 | − | 1.61744i | ||||
\(669\) | −3.10755e12 | + | 9.58551e11i | −0.599791 | + | 0.185011i | ||||
\(670\) | −5.22369e12 | − | 1.33097e13i | −1.00148 | − | 2.55172i | ||||
\(671\) | 1.97076e12 | − | 1.34364e12i | 0.375304 | − | 0.255878i | ||||
\(672\) | 7.46564e11 | + | 3.59526e11i | 0.141223 | + | 0.0680094i | ||||
\(673\) | −4.21044e11 | − | 3.90672e11i | −0.0791152 | − | 0.0734082i | 0.639624 | − | 0.768688i | \(-0.279090\pi\) |
−0.718739 | + | 0.695280i | \(0.755281\pi\) | |||||||
\(674\) | −1.65775e13 | + | 2.49866e12i | −3.09421 | + | 0.466377i | ||||
\(675\) | 2.88221e11 | − | 3.84605e12i | 0.0534391 | − | 0.713095i | ||||
\(676\) | −3.02623e12 | + | 7.71072e12i | −0.557368 | + | 1.42015i | ||||
\(677\) | 3.96281e11 | + | 1.73622e12i | 0.0725027 | + | 0.317655i | 0.998155 | − | 0.0607206i | \(-0.0193398\pi\) |
−0.925652 | + | 0.378376i | \(0.876483\pi\) | |||||||
\(678\) | 2.05265e11 | + | 2.73908e12i | 0.0373063 | + | 0.497818i | ||||
\(679\) | 1.37498e12 | + | 4.24125e11i | 0.248246 | + | 0.0765737i | ||||
\(680\) | −2.06806e13 | + | 9.95925e12i | −3.70914 | + | 1.78623i | ||||
\(681\) | −1.28306e12 | + | 2.22232e12i | −0.228604 | + | 0.395954i | ||||
\(682\) | 9.77944e12 | + | 1.69385e13i | 1.73095 | + | 2.99809i | ||||
\(683\) | 1.05853e12 | + | 7.21696e11i | 0.186128 | + | 0.126900i | 0.652799 | − | 0.757531i | \(-0.273595\pi\) |
−0.466671 | + | 0.884431i | \(0.654547\pi\) | |||||||
\(684\) | −7.07329e11 | + | 3.09901e12i | −0.123558 | + | 0.541341i | ||||
\(685\) | 3.17706e12 | + | 4.78865e11i | 0.551338 | + | 0.0831008i | ||||
\(686\) | −6.90307e12 | − | 8.65618e12i | −1.19010 | − | 1.49234i | ||||
\(687\) | 2.82513e12 | 0.483875 | ||||||||
\(688\) | 1.42066e12 | + | 7.09574e12i | 0.241736 | + | 1.20740i | ||||
\(689\) | −6.58264e11 | −0.111279 | ||||||||
\(690\) | −1.57699e11 | − | 1.97748e11i | −0.0264855 | − | 0.0332117i | ||||
\(691\) | 5.54328e12 | + | 8.35514e11i | 0.924944 | + | 0.139413i | 0.594209 | − | 0.804311i | \(-0.297465\pi\) |
0.330735 | + | 0.943724i | \(0.392703\pi\) | |||||||
\(692\) | −4.70171e12 | + | 2.05996e13i | −0.779433 | + | 3.41492i | ||||
\(693\) | −2.66292e12 | − | 1.81555e12i | −0.438591 | − | 0.299026i | ||||
\(694\) | −4.42010e12 | − | 7.65584e12i | −0.723294 | − | 1.25278i | ||||
\(695\) | 4.78041e11 | − | 8.27992e11i | 0.0777202 | − | 0.134615i | ||||
\(696\) | −2.19929e10 | + | 1.05912e10i | −0.00355255 | + | 0.00171082i | ||||
\(697\) | −1.58297e13 | − | 4.88281e12i | −2.54053 | − | 0.783651i | ||||
\(698\) | 4.35084e11 | + | 5.80580e12i | 0.0693784 | + | 0.925790i | ||||
\(699\) | −1.90582e12 | − | 8.34993e12i | −0.301949 | − | 1.32293i | ||||
\(700\) | −2.62001e12 | + | 6.67567e12i | −0.412440 | + | 1.05088i | ||||
\(701\) | 2.34151e11 | − | 3.12453e12i | 0.0366239 | − | 0.488713i | −0.948490 | − | 0.316808i | \(-0.897389\pi\) |
0.985114 | − | 0.171905i | \(-0.0549921\pi\) | |||||||
\(702\) | −6.09569e12 | + | 9.18778e11i | −0.947341 | + | 0.142789i | ||||
\(703\) | −1.28442e12 | − | 1.19177e12i | −0.198339 | − | 0.184032i | ||||
\(704\) | −5.82931e12 | − | 2.80725e12i | −0.894417 | − | 0.430729i | ||||
\(705\) | 5.16703e12 | − | 3.52282e12i | 0.787752 | − | 0.537080i | ||||
\(706\) | −3.99649e11 | − | 1.01829e12i | −0.0605422 | − | 0.154259i | ||||
\(707\) | −8.70659e12 | + | 2.68563e12i | −1.31057 | + | 0.404258i | ||||
\(708\) | −3.91687e11 | + | 3.63433e11i | −0.0585855 | + | 0.0543594i | ||||
\(709\) | −3.52649e12 | + | 4.42208e12i | −0.524125 | + | 0.657232i | −0.971479 | − | 0.237125i | \(-0.923795\pi\) |
0.447354 | + | 0.894357i | \(0.352366\pi\) | |||||||
\(710\) | 1.83886e13 | − | 2.30586e13i | 2.71573 | − | 3.40542i | ||||
\(711\) | 2.84297e11 | − | 2.63789e11i | 0.0417214 | − | 0.0387118i | ||||
\(712\) | 9.62312e12 | − | 2.96834e12i | 1.40332 | − | 0.432866i | ||||
\(713\) | 9.94785e10 | + | 2.53467e11i | 0.0144154 | + | 0.0367298i | ||||
\(714\) | 9.72215e12 | − | 6.62845e12i | 1.39997 | − | 0.954487i | ||||
\(715\) | −5.53947e12 | − | 2.66767e12i | −0.792667 | − | 0.381728i | ||||
\(716\) | 4.92341e12 | + | 4.56826e12i | 0.700096 | + | 0.649594i | ||||
\(717\) | −1.77098e11 | + | 2.66932e10i | −0.0250252 | + | 0.00377194i | ||||
\(718\) | 1.24252e12 | − | 1.65802e13i | 0.174478 | − | 2.32825i | ||||
\(719\) | 1.25446e12 | − | 3.19632e12i | 0.175056 | − | 0.446036i | −0.816236 | − | 0.577719i | \(-0.803943\pi\) |
0.991292 | + | 0.131683i | \(0.0420382\pi\) | |||||||
\(720\) | 1.27146e12 | + | 5.57061e12i | 0.176321 | + | 0.772514i | ||||
\(721\) | −3.01757e11 | − | 4.02667e12i | −0.0415862 | − | 0.554929i | ||||
\(722\) | 8.69514e12 | + | 2.68210e12i | 1.19086 | + | 0.367331i | ||||
\(723\) | −1.89101e12 | + | 9.10664e11i | −0.257378 | + | 0.123947i | ||||
\(724\) | −3.95717e12 | + | 6.85403e12i | −0.535256 | + | 0.927091i | ||||
\(725\) | −7.39083e9 | − | 1.28013e10i | −0.000993510 | − | 0.00172081i | ||||
\(726\) | 5.73787e12 | + | 3.91201e12i | 0.766542 | + | 0.522619i | ||||
\(727\) | 7.57580e11 | − | 3.31917e12i | 0.100583 | − | 0.440682i | −0.899411 | − | 0.437104i | \(-0.856004\pi\) |
0.999994 | − | 0.00357764i | \(-0.00113880\pi\) | |||||||
\(728\) | 5.87263e12 | + | 8.85156e11i | 0.774892 | + | 0.116796i | ||||
\(729\) | 4.18155e12 | + | 5.24350e12i | 0.548357 | + | 0.687618i | ||||
\(730\) | 2.81454e13 | 3.66821 | ||||||||
\(731\) | 1.23431e13 | + | 4.17270e12i | 1.59880 | + | 0.540492i | ||||
\(732\) | 3.92820e12 | 0.505701 | ||||||||
\(733\) | −7.92035e12 | − | 9.93181e12i | −1.01339 | − | 1.27075i | −0.962281 | − | 0.272058i | \(-0.912296\pi\) |
−0.0511092 | − | 0.998693i | \(-0.516276\pi\) | |||||||
\(734\) | 1.77445e13 | + | 2.67456e12i | 2.25648 | + | 0.340110i | ||||
\(735\) | −5.61654e11 | + | 2.46077e12i | −0.0709865 | + | 0.311012i | ||||
\(736\) | 4.75636e10 | + | 3.24283e10i | 0.00597482 | + | 0.00407356i | ||||
\(737\) | 6.39443e12 | + | 1.10755e13i | 0.798359 | + | 1.38280i | ||||
\(738\) | −5.53671e12 | + | 9.58986e12i | −0.687066 | + | 1.19003i | ||||
\(739\) | −1.43673e12 | + | 6.91894e11i | −0.177205 | + | 0.0853375i | −0.520383 | − | 0.853933i | \(-0.674211\pi\) |
0.343178 | + | 0.939270i | \(0.388497\pi\) | |||||||
\(740\) | −1.05261e13 | − | 3.24686e12i | −1.29040 | − | 0.398035i | ||||
\(741\) | −1.20362e11 | − | 1.60612e12i | −0.0146659 | − | 0.195703i | ||||
\(742\) | −5.62628e11 | − | 2.46503e12i | −0.0681403 | − | 0.298542i | ||||
\(743\) | −1.79528e12 | + | 4.57430e12i | −0.216114 | + | 0.550650i | −0.997283 | − | 0.0736705i | \(-0.976529\pi\) |
0.781169 | + | 0.624320i | \(0.214624\pi\) | |||||||
\(744\) | −1.24721e12 | + | 1.66429e13i | −0.149232 | + | 1.99136i | ||||
\(745\) | −1.10676e13 | + | 1.66817e12i | −1.31629 | + | 0.198398i | ||||
\(746\) | 8.95990e12 | + | 8.31357e12i | 1.05920 | + | 0.982794i | ||||
\(747\) | 1.24626e12 | + | 6.00166e11i | 0.146442 | + | 0.0705226i | ||||
\(748\) | 3.27398e13 | − | 2.23216e13i | 3.82401 | − | 2.60717i | ||||
\(749\) | −2.81585e12 | − | 7.17467e12i | −0.326920 | − | 0.832979i | ||||
\(750\) | −4.34641e12 | + | 1.34069e12i | −0.501597 | + | 0.154722i | ||||
\(751\) | 1.69378e12 | − | 1.57160e12i | 0.194302 | − | 0.180286i | −0.577022 | − | 0.816729i | \(-0.695785\pi\) |
0.771324 | + | 0.636443i | \(0.219595\pi\) | |||||||
\(752\) | −6.99915e12 | + | 8.77666e12i | −0.798115 | + | 1.00080i | ||||
\(753\) | 5.68094e12 | − | 7.12368e12i | 0.643936 | − | 0.807471i | ||||
\(754\) | −1.73192e10 | + | 1.60699e10i | −0.00195145 | + | 0.00181068i | ||||
\(755\) | −1.16546e13 | + | 3.59497e12i | −1.30538 | + | 0.402655i | ||||
\(756\) | −5.83766e12 | − | 1.48741e13i | −0.649966 | − | 1.65609i | ||||
\(757\) | −5.88840e12 | + | 4.01464e12i | −0.651727 | + | 0.444340i | −0.843522 | − | 0.537095i | \(-0.819522\pi\) |
0.191794 | + | 0.981435i | \(0.438569\pi\) | |||||||
\(758\) | −1.73376e13 | − | 8.34933e12i | −1.90755 | − | 0.918629i | ||||
\(759\) | 1.65839e11 | + | 1.53876e11i | 0.0181384 | + | 0.0168300i | ||||
\(760\) | −1.19334e13 | + | 1.79867e12i | −1.29749 | + | 0.195565i | ||||
\(761\) | −1.06875e12 | + | 1.42615e13i | −0.115517 | + | 1.54147i | 0.574999 | + | 0.818154i | \(0.305002\pi\) |
−0.690516 | + | 0.723317i | \(0.742617\pi\) | |||||||
\(762\) | −7.57679e12 | + | 1.93053e13i | −0.814119 | + | 2.07434i | ||||
\(763\) | 2.44771e12 | + | 1.07241e13i | 0.261457 | + | 1.14552i | ||||
\(764\) | 2.35291e12 | + | 3.13973e13i | 0.249853 | + | 3.33405i | ||||
\(765\) | 9.83066e12 | + | 3.03236e12i | 1.03778 | + | 0.320113i | ||||
\(766\) | 2.13560e13 | − | 1.02845e13i | 2.24125 | − | 1.07933i | ||||
\(767\) | −1.33978e11 | + | 2.32056e11i | −0.0139783 | + | 0.0242111i | ||||
\(768\) | −6.96852e12 | − | 1.20698e13i | −0.722795 | − | 1.25192i | ||||
\(769\) | 1.15267e13 | + | 7.85874e12i | 1.18860 | + | 0.810372i | 0.985647 | − | 0.168817i | \(-0.0539947\pi\) |
0.202950 | + | 0.979189i | \(0.434947\pi\) | |||||||
\(770\) | 5.25509e12 | − | 2.30240e13i | 0.538731 | − | 2.36033i | ||||
\(771\) | 5.86046e12 | + | 8.83322e11i | 0.597293 | + | 0.0900274i | ||||
\(772\) | −4.15336e12 | − | 5.20815e12i | −0.420844 | − | 0.527722i | ||||
\(773\) | 1.79974e13 | 1.81302 | 0.906508 | − | 0.422188i | \(-0.138738\pi\) | ||||
0.906508 | + | 0.422188i | \(0.138738\pi\) | |||||||
\(774\) | 4.55531e12 | − | 7.42326e12i | 0.456230 | − | 0.743465i | ||||
\(775\) | −1.01064e13 | −1.00632 | ||||||||
\(776\) | 3.82021e12 | + | 4.79040e12i | 0.378190 | + | 0.474235i | ||||
\(777\) | 2.89310e12 | + | 4.36064e11i | 0.284753 | + | 0.0429196i | ||||
\(778\) | −2.02084e11 | + | 8.85386e11i | −0.0197753 | + | 0.0866412i | ||||
\(779\) | −7.19620e12 | − | 4.90629e12i | −0.700140 | − | 0.477347i | ||||
\(780\) | −5.06283e12 | − | 8.76909e12i | −0.489743 | − | 0.848259i | ||||
\(781\) | −1.31900e13 | + | 2.28457e13i | −1.26857 | + | 2.19722i | ||||
\(782\) | 7.36510e11 | − | 3.54684e11i | 0.0704284 | − | 0.0339165i | ||||
\(783\) | 3.14720e10 | + | 9.70782e9i | 0.00299224 | + | 0.000922983i | ||||
\(784\) | −3.38590e11 | − | 4.51817e12i | −0.0320075 | − | 0.427111i | ||||
\(785\) | −4.02400e12 | − | 1.76303e13i | −0.378220 | − | 1.65709i | ||||
\(786\) | 6.24585e12 | − | 1.59142e13i | 0.583701 | − | 1.48725i | ||||
\(787\) | −4.85590e11 | + | 6.47974e12i | −0.0451215 | + | 0.602104i | 0.928114 | + | 0.372295i | \(0.121429\pi\) |
−0.973236 | + | 0.229809i | \(0.926190\pi\) | |||||||
\(788\) | −3.90841e12 | + | 5.89098e11i | −0.361104 | + | 0.0544276i | ||||
\(789\) | −2.41485e12 | − | 2.24065e12i | −0.221842 | − | 0.205839i | ||||
\(790\) | 2.56037e12 | + | 1.23301e12i | 0.233873 | + | 0.112627i | ||||
\(791\) | −2.95000e12 | + | 2.01128e12i | −0.267934 | + | 0.182674i | ||||
\(792\) | −5.01393e12 | − | 1.27753e13i | −0.452809 | − | 1.15374i | ||||
\(793\) | 1.88241e12 | − | 5.80647e11i | 0.169038 | − | 0.0521415i | ||||
\(794\) | 9.99027e12 | − | 9.26962e12i | 0.892042 | − | 0.827694i | ||||
\(795\) | −1.39261e12 | + | 1.74628e12i | −0.123645 | + | 0.155046i | ||||
\(796\) | 8.87257e12 | − | 1.11258e13i | 0.783322 | − | 0.982255i | ||||
\(797\) | 1.81236e11 | − | 1.68162e11i | 0.0159104 | − | 0.0147627i | −0.672177 | − | 0.740390i | \(-0.734641\pi\) |
0.688088 | + | 0.725627i | \(0.258450\pi\) | |||||||
\(798\) | 5.91166e12 | − | 1.82351e12i | 0.516055 | − | 0.159182i | ||||
\(799\) | 7.38420e12 | + | 1.88146e13i | 0.640977 | + | 1.63318i | ||||
\(800\) | −1.76539e12 | + | 1.20362e12i | −0.152383 | + | 0.103893i | ||||
\(801\) | −4.06657e12 | − | 1.95835e12i | −0.349045 | − | 0.168091i | ||||
\(802\) | 5.85894e12 | + | 5.43631e12i | 0.500075 | + | 0.464001i | ||||
\(803\) | −2.48933e13 | + | 3.75206e12i | −2.11282 | + | 0.318456i | ||||
\(804\) | −1.57396e12 | + | 2.10030e13i | −0.132844 | + | 1.77268i | ||||
\(805\) | 1.20114e11 | − | 3.06046e11i | 0.0100812 | − | 0.0256865i | ||||
\(806\) | 3.59449e12 | + | 1.57485e13i | 0.300006 | + | 1.31441i | ||||
\(807\) | −7.03229e11 | − | 9.38393e12i | −0.0583668 | − | 0.778850i | ||||
\(808\) | −3.70744e13 | − | 1.14359e13i | −3.06001 | − | 0.943889i | ||||
\(809\) | −1.54648e12 | + | 7.44748e11i | −0.126934 | + | 0.0611281i | −0.496273 | − | 0.868167i | \(-0.665298\pi\) |
0.369339 | + | 0.929295i | \(0.379584\pi\) | |||||||
\(810\) | −3.54594e12 | + | 6.14175e12i | −0.289433 | + | 0.501313i | ||||
\(811\) | 2.09350e12 | + | 3.62605e12i | 0.169934 | + | 0.294334i | 0.938396 | − | 0.345561i | \(-0.112311\pi\) |
−0.768463 | + | 0.639895i | \(0.778978\pi\) | |||||||
\(812\) | −5.05987e10 | − | 3.44976e10i | −0.00408448 | − | 0.00278475i | ||||
\(813\) | 3.24241e12 | − | 1.42059e13i | 0.260292 | − | 1.14041i | ||||
\(814\) | 1.44374e13 | + | 2.17609e12i | 1.15260 | + | 0.173726i | ||||
\(815\) | 6.20871e12 | + | 7.78547e12i | 0.492937 | + | 0.618124i | ||||
\(816\) | 1.86589e13 | 1.47327 | ||||||||
\(817\) | 5.55455e12 | + | 4.00920e12i | 0.436164 | + | 0.314817i | ||||
\(818\) | −3.30708e13 | −2.58259 | ||||||||
\(819\) | −1.65961e12 | − | 2.08108e12i | −0.128893 | − | 0.161626i | ||||
\(820\) | −5.41438e13 | − | 8.16086e12i | −4.18202 | − | 0.630338i | ||||
\(821\) | 2.85905e12 | − | 1.25263e13i | 0.219623 | − | 0.962232i | −0.738134 | − | 0.674654i | \(-0.764293\pi\) |
0.957757 | − | 0.287578i | \(-0.0928501\pi\) | |||||||
\(822\) | −5.79480e12 | − | 3.95083e12i | −0.442706 | − | 0.301832i | ||||
\(823\) | −2.10186e12 | − | 3.64052e12i | −0.159700 | − | 0.276608i | 0.775061 | − | 0.631887i | \(-0.217719\pi\) |
−0.934760 | + | 0.355279i | \(0.884386\pi\) | |||||||
\(824\) | 8.59722e12 | − | 1.48908e13i | 0.649659 | − | 1.12524i | ||||
\(825\) | −7.56532e12 | + | 3.64326e12i | −0.568571 | + | 0.273809i | ||||
\(826\) | −9.83505e11 | − | 3.03371e11i | −0.0735134 | − | 0.0226759i | ||||
\(827\) | 5.41036e11 | + | 7.21962e12i | 0.0402208 | + | 0.536710i | 0.980528 | + | 0.196382i | \(0.0629191\pi\) |
−0.940307 | + | 0.340328i | \(0.889462\pi\) | |||||||
\(828\) | −8.20543e10 | − | 3.59503e11i | −0.00606687 | − | 0.0265807i | ||||
\(829\) | 8.35828e12 | − | 2.12966e13i | 0.614641 | − | 1.56608i | −0.196042 | − | 0.980595i | \(-0.562809\pi\) |
0.810683 | − | 0.585485i | \(-0.199096\pi\) | |||||||
\(830\) | −7.57441e11 | + | 1.01074e13i | −0.0553984 | + | 0.739241i | ||||
\(831\) | −4.17073e12 | + | 6.28637e11i | −0.303394 | + | 0.0457294i | ||||
\(832\) | −3.91710e12 | − | 3.63454e12i | −0.283406 | − | 0.262963i | ||||
\(833\) | −7.34983e12 | − | 3.53949e12i | −0.528901 | − | 0.254705i | ||||
\(834\) | −1.72437e12 | + | 1.17566e12i | −0.123419 | + | 0.0841459i | ||||
\(835\) | −7.60780e12 | − | 1.93843e13i | −0.541589 | − | 1.37995i | ||||
\(836\) | 1.99078e13 | − | 6.14075e12i | 1.40960 | − | 0.434803i | ||||
\(837\) | 1.65070e13 | − | 1.53162e13i | 1.16253 | − | 1.07867i | ||||
\(838\) | −1.76857e13 | + | 2.21771e13i | −1.23886 | + | 1.55349i | ||||
\(839\) | −4.73282e12 | + | 5.93476e12i | −0.329755 | + | 0.413499i | −0.918877 | − | 0.394545i | \(-0.870902\pi\) |
0.589122 | + | 0.808044i | \(0.299474\pi\) | |||||||
\(840\) | 1.47722e13 | − | 1.37066e13i | 1.02374 | − | 0.949888i | ||||
\(841\) | −1.38625e13 | + | 4.27602e12i | −0.955564 | + | 0.294753i | ||||
\(842\) | −4.18373e12 | − | 1.06600e13i | −0.286853 | − | 0.730890i | ||||
\(843\) | −8.45631e12 | + | 5.76541e12i | −0.576709 | + | 0.393194i | ||||
\(844\) | −3.03968e13 | − | 1.46383e13i | −2.06199 | − | 0.993002i | ||||
\(845\) | 1.03323e13 | + | 9.58695e12i | 0.697173 | + | 0.646882i | ||||
\(846\) | 1.33598e13 | − | 2.01367e12i | 0.896671 | − | 0.135151i | ||||
\(847\) | −6.74586e11 | + | 9.00173e12i | −0.0450362 | + | 0.600967i | ||||
\(848\) | 1.46480e12 | − | 3.73226e12i | 0.0972742 | − | 0.247851i | ||||
\(849\) | 3.28119e12 | + | 1.43758e13i | 0.216744 | + | 0.949617i | ||||
\(850\) | 2.26741e12 | + | 3.02564e13i | 0.148986 | + | 1.98807i | ||||
\(851\) | 1.94230e11 | + | 5.99121e10i | 0.0126950 | + | 0.00391590i | ||||
\(852\) | −3.91425e13 | + | 1.88500e13i | −2.54490 | + | 1.22556i | ||||
\(853\) | −7.47970e12 | + | 1.29552e13i | −0.483742 | + | 0.837866i | −0.999826 | − | 0.0186725i | \(-0.994056\pi\) |
0.516084 | + | 0.856538i | \(0.327389\pi\) | |||||||
\(854\) | 3.78331e12 | + | 6.55288e12i | 0.243395 | + | 0.421572i | ||||
\(855\) | 4.46903e12 | + | 3.04693e12i | 0.286000 | + | 0.194991i | ||||
\(856\) | 7.30312e12 | − | 3.19971e13i | 0.464918 | − | 2.03694i | ||||
\(857\) | −1.97940e13 | − | 2.98347e12i | −1.25349 | − | 0.188933i | −0.511463 | − | 0.859305i | \(-0.670896\pi\) |
−0.742025 | + | 0.670372i | \(0.766134\pi\) | |||||||
\(858\) | 8.36792e12 | + | 1.04930e13i | 0.527138 | + | 0.661010i | ||||
\(859\) | 1.91967e12 | 0.120298 | 0.0601488 | − | 0.998189i | \(-0.480842\pi\) | ||||
0.0601488 | + | 0.998189i | \(0.480842\pi\) | |||||||
\(860\) | 4.23981e13 | + | 7.55755e12i | 2.64304 | + | 0.471127i | ||||
\(861\) | 1.45434e13 | 0.901885 | ||||||||
\(862\) | −1.34169e13 | − | 1.68243e13i | −0.827696 | − | 1.03790i | ||||
\(863\) | 2.98818e12 | + | 4.50396e11i | 0.183383 | + | 0.0276405i | 0.240091 | − | 0.970750i | \(-0.422823\pi\) |
−0.0567088 | + | 0.998391i | \(0.518061\pi\) | |||||||
\(864\) | 1.05936e12 | − | 4.64134e12i | 0.0646741 | − | 0.283356i | ||||
\(865\) | 2.97063e13 | + | 2.02534e13i | 1.80416 | + | 1.23006i | ||||
\(866\) | 1.25238e13 | + | 2.16918e13i | 0.756668 | + | 1.31059i | ||||
\(867\) | 1.09001e13 | − | 1.88796e13i | 0.655158 | − | 1.13477i | ||||
\(868\) | −3.77238e13 | + | 1.81668e13i | −2.25568 | + | 1.08628i | ||||
\(869\) | −2.42890e12 | − | 7.49217e11i | −0.144484 | − | 0.0445675i | ||||
\(870\) | 5.99086e9 | + | 7.99425e10i | 0.000354530 | + | 0.00473087i | ||||
\(871\) | 2.35031e12 | + | 1.02974e13i | 0.138371 | + | 0.606241i | ||||
\(872\) | −1.71125e13 | + | 4.36020e13i | −1.00228 | + | 2.55377i | ||||
\(873\) | 2.05220e11 | − | 2.73847e12i | 0.0119579 | − | 0.159567i | ||||
\(874\) | 4.24991e11 | − | 6.40571e10i | 0.0246364 | − | 0.00371335i | ||||
\(875\) | −4.33409e12 | − | 4.02145e12i | −0.249955 | − | 0.231925i | ||||
\(876\) | −3.73539e13 | − | 1.79887e13i | −2.14322 | − | 1.03212i | ||||
\(877\) | 1.06377e13 | − | 7.25266e12i | 0.607225 | − | 0.413999i | −0.220297 | − | 0.975433i | \(-0.570703\pi\) |
0.827521 | + | 0.561434i | \(0.189750\pi\) | |||||||
\(878\) | 6.06925e11 | + | 1.54642e12i | 0.0344675 | + | 0.0878217i | ||||
\(879\) | 2.26935e13 | − | 7.00001e12i | 1.28219 | − | 0.395502i | ||||
\(880\) | 2.74520e13 | − | 2.54717e13i | 1.54313 | − | 1.43181i | ||||
\(881\) | −7.75421e12 | + | 9.72347e12i | −0.433656 | + | 0.543788i | −0.949859 | − | 0.312679i | \(-0.898774\pi\) |
0.516203 | + | 0.856467i | \(0.327345\pi\) | |||||||
\(882\) | −3.39993e12 | + | 4.26338e12i | −0.189174 | + | 0.237217i | ||||
\(883\) | 2.46267e13 | − | 2.28503e13i | 1.36328 | − | 1.26494i | 0.431399 | − | 0.902161i | \(-0.358020\pi\) |
0.931877 | − | 0.362774i | \(-0.118170\pi\) | |||||||
\(884\) | 3.12721e13 | − | 9.64617e12i | 1.72235 | − | 0.531275i | ||||
\(885\) | 3.32170e11 | + | 8.46355e11i | 0.0182019 | + | 0.0463776i | ||||
\(886\) | −3.23035e12 | + | 2.20241e12i | −0.176115 | + | 0.120073i | ||||
\(887\) | 9.34724e12 | + | 4.50139e12i | 0.507022 | + | 0.244169i | 0.669865 | − | 0.742483i | \(-0.266352\pi\) |
−0.162843 | + | 0.986652i | \(0.552066\pi\) | |||||||
\(888\) | 9.13276e12 | + | 8.47396e12i | 0.492883 | + | 0.457328i | ||||
\(889\) | −2.66567e13 | + | 4.01784e12i | −1.43136 | + | 0.215742i | ||||
\(890\) | 2.47155e12 | − | 3.29805e13i | 0.132043 | − | 1.76199i | ||||
\(891\) | 2.31746e12 | − | 5.90480e12i | 0.123186 | − | 0.313874i | ||||
\(892\) | −7.73058e12 | − | 3.38699e13i | −0.408856 | − | 1.79132i | ||||
\(893\) | 7.94126e11 | + | 1.05969e13i | 0.0417886 | + | 0.557630i | ||||
\(894\) | 2.33467e13 | + | 7.20149e12i | 1.22238 | + | 0.377054i | ||||
\(895\) | 1.02967e13 | − | 4.95863e12i | 0.536407 | − | 0.258320i | ||||
\(896\) | 1.23952e13 | − | 2.14692e13i | 0.642493 | − | 1.11283i | ||||
\(897\) | 9.34211e10 | + | 1.61810e11i | 0.00481813 | + | 0.00834525i | ||||
\(898\) | −4.92187e13 | − | 3.35568e13i | −2.52573 | − | 1.72201i | ||||
\(899\) | 1.92042e10 | − | 8.41391e10i | 0.000980568 | − | 0.00429615i | ||||
\(900\) | 1.35337e13 | + | 2.03988e12i | 0.687585 | + | 0.103637i | ||||
\(901\) | −4.50089e12 | − | 5.64394e12i | −0.227529 | − | 0.285312i | ||||
\(902\) | 7.25756e13 | 3.65058 | ||||||||
\(903\) | −1.14346e13 | − | 3.06517e11i | −0.572304 | − | 0.0153412i | ||||
\(904\) | −1.52035e13 | −0.757155 | ||||||||
\(905\) | 8.39656e12 | + | 1.05290e13i | 0.416086 | + | 0.521755i | ||||
\(906\) | 2.63260e13 | + | 3.96801e12i | 1.29810 | + | 0.195657i | ||||
\(907\) | 7.86545e11 | − | 3.44608e12i | 0.0385914 | − | 0.169080i | −0.951960 | − | 0.306223i | \(-0.900935\pi\) |
0.990551 | + | 0.137143i | \(0.0437919\pi\) | |||||||
\(908\) | −2.26500e13 | − | 1.54425e13i | −1.10582 | − | 0.753932i | ||||
\(909\) | 8.69453e12 | + | 1.50594e13i | 0.422385 | + | 0.731593i | ||||
\(910\) | 9.75218e12 | − | 1.68913e13i | 0.471428 | − | 0.816537i | ||||
\(911\) | −9.99659e12 | + | 4.81410e12i | −0.480860 | + | 0.231570i | −0.658580 | − | 0.752511i | \(-0.728842\pi\) |
0.177719 | + | 0.984081i | \(0.443128\pi\) | |||||||
\(912\) | 9.37431e12 | + | 2.89159e12i | 0.448707 | + | 0.138408i | ||||
\(913\) | −6.77489e11 | − | 9.04046e12i | −0.0322689 | − | 0.430598i | ||||
\(914\) | 8.02620e12 | + | 3.51651e13i | 0.380410 | + | 1.66669i | ||||
\(915\) | 2.44202e12 | − | 6.22217e12i | 0.115174 | − | 0.293458i | ||||
\(916\) | −2.25539e12 | + | 3.00961e13i | −0.105850 | + | 1.41247i | ||||
\(917\) | 2.19742e13 | − | 3.31207e12i | 1.02624 | − | 0.154681i | ||||
\(918\) | −4.95570e13 | − | 4.59822e13i | −2.30310 | − | 2.13697i | ||||
\(919\) | 2.23463e13 | + | 1.07614e13i | 1.03344 | + | 0.497678i | 0.872155 | − | 0.489230i | \(-0.162722\pi\) |
0.161284 | + | 0.986908i | \(0.448436\pi\) | |||||||
\(920\) | 1.15672e12 | − | 7.88637e11i | 0.0532332 | − | 0.0362938i | ||||
\(921\) | 9.02795e11 | + | 2.30028e12i | 0.0413448 | + | 0.105345i | ||||
\(922\) | −4.03032e13 | + | 1.24319e13i | −1.83675 | + | 0.566563i | ||||
\(923\) | −1.59709e13 | + | 1.48189e13i | −0.724308 | + | 0.672059i | ||||
\(924\) | −2.16899e13 | + | 2.71982e13i | −0.978888 | + | 1.22749i | ||||
\(925\) | −4.70379e12 | + | 5.89836e12i | −0.211256 | + | 0.264907i | ||||
\(926\) | 1.47657e13 | − | 1.37006e13i | 0.659940 | − | 0.612335i | ||||
\(927\) | −7.36406e12 | + | 2.27151e12i | −0.327536 | + | 0.101031i | ||||
\(928\) | −6.66596e9 | − | 1.69846e10i | −0.000295051 | − | 0.000751777i | ||||
\(929\) | −5.51840e12 | + | 3.76238e12i | −0.243076 | + | 0.165726i | −0.678730 | − | 0.734388i | \(-0.737469\pi\) |
0.435654 | + | 0.900114i | \(0.356517\pi\) | |||||||
\(930\) | 4.93828e13 | + | 2.37815e13i | 2.16472 | + | 1.04248i | ||||
\(931\) | −3.14406e12 | − | 2.91726e12i | −0.137157 | − | 0.127263i | ||||
\(932\) | 9.04731e13 | − | 1.36366e13i | 3.92779 | − | 0.592019i | ||||
\(933\) | −1.67023e12 | + | 2.22876e13i | −0.0721618 | + | 0.962933i | ||||
\(934\) | −2.30103e12 | + | 5.86293e12i | −0.0989375 | + | 0.252089i | ||||
\(935\) | −1.50037e13 | − | 6.57355e13i | −0.642017 | − | 2.81286i | ||||
\(936\) | −8.47028e11 | − | 1.13028e13i | −0.0360708 | − | 0.481332i | ||||
\(937\) | −1.77401e13 | − | 5.47210e12i | −0.751845 | − | 0.231913i | −0.104934 | − | 0.994479i | \(-0.533463\pi\) |
−0.646911 | + | 0.762566i | \(0.723939\pi\) | |||||||
\(938\) | −3.65523e13 | + | 1.76027e13i | −1.54171 | + | 0.742448i | ||||
\(939\) | −9.58361e12 | + | 1.65993e13i | −0.402285 | + | 0.696779i | ||||
\(940\) | 3.34035e13 | + | 5.78566e13i | 1.39546 | + | 2.41701i | ||||
\(941\) | 2.58249e12 | + | 1.76071e12i | 0.107371 | + | 0.0732040i | 0.615815 | − | 0.787891i | \(-0.288827\pi\) |
−0.508444 | + | 0.861095i | \(0.669779\pi\) | |||||||
\(942\) | −8.78391e12 | + | 3.84848e13i | −0.363462 | + | 1.59243i | ||||
\(943\) | 9.99078e11 | + | 1.50587e11i | 0.0411431 | + | 0.00620132i | ||||
\(944\) | −1.01759e12 | − | 1.27602e12i | −0.0417060 | − | 0.0522976i | ||||
\(945\) | −2.71893e13 | −1.10906 | ||||||||
\(946\) | −5.70620e13 | − | 1.52961e12i | −2.31652 | − | 0.0620969i | ||||
\(947\) | 1.89078e13 | 0.763954 | 0.381977 | − | 0.924172i | \(-0.375243\pi\) | ||||
0.381977 | + | 0.924172i | \(0.375243\pi\) | |||||||
\(948\) | −2.61000e12 | − | 3.27284e12i | −0.104955 | − | 0.131609i | ||||
\(949\) | −2.05591e13 | − | 3.09879e12i | −0.822824 | − | 0.124021i | ||||
\(950\) | −3.54972e12 | + | 1.55523e13i | −0.141396 | + | 0.619497i | ||||
\(951\) | −9.59046e12 | − | 6.53866e12i | −0.380213 | − | 0.259225i | ||||
\(952\) | 3.25649e13 | + | 5.64040e13i | 1.28494 | + | 2.22558i | ||||
\(953\) | 5.40873e12 | − | 9.36820e12i | 0.212411 | − | 0.367907i | −0.740057 | − | 0.672544i | \(-0.765202\pi\) |
0.952469 | + | 0.304637i | \(0.0985350\pi\) | |||||||
\(954\) | −4.34762e12 | + | 2.09371e12i | −0.169936 | + | 0.0818367i | ||||
\(955\) | 5.11953e13 | + | 1.57916e13i | 1.99166 | + | 0.614345i | ||||
\(956\) | −1.42980e11 | − | 1.90793e12i | −0.00553622 | − | 0.0738757i | ||||
\(957\) | −1.59558e10 | − | 6.99068e10i | −0.000614914 | − | 0.00269411i | ||||
\(958\) | 5.99238e12 | − | 1.52683e13i | 0.229855 | − | 0.585661i | ||||
\(959\) | 6.81279e11 | − | 9.09104e12i | 0.0260101 | − | 0.347080i | ||||
\(960\) | −1.79288e13 | + | 2.70233e12i | −0.681288 | + | 0.102688i | ||||
\(961\) | −2.38730e13 | − | 2.21509e13i | −0.902925 | − | 0.837792i | ||||
\(962\) | 1.08642e13 | + | 5.23194e12i | 0.408988 | + | 0.196958i | ||||
\(963\) | −1.21537e13 | + | 8.28626e12i | −0.455397 | + | 0.310485i | ||||
\(964\) | −8.19163e12 | − | 2.08719e13i | −0.305509 | − | 0.778424i | ||||
\(965\) | −1.08316e13 | + | 3.34109e12i | −0.402085 | + | 0.124027i | ||||
\(966\) | −5.26090e11 | + | 4.88140e11i | −0.0194385 | + | 0.0180363i | ||||
\(967\) | 3.21902e13 | − | 4.03652e13i | 1.18387 | − | 1.48453i | 0.346365 | − | 0.938100i | \(-0.387416\pi\) |
0.837506 | − | 0.546428i | \(-0.184013\pi\) | |||||||
\(968\) | −2.39661e13 | + | 3.00525e13i | −0.877321 | + | 1.10013i | ||||
\(969\) | 1.29479e13 | − | 1.20139e13i | 0.471783 | − | 0.437750i | ||||
\(970\) | 1.92284e13 | − | 5.93118e12i | 0.697382 | − | 0.215114i | ||||
\(971\) | 1.41317e11 | + | 3.60071e11i | 0.00510163 | + | 0.0129987i | 0.933402 | − | 0.358833i | \(-0.116825\pi\) |
−0.928300 | + | 0.371831i | \(0.878730\pi\) | |||||||
\(972\) | −4.20229e13 | + | 2.86507e13i | −1.51004 | + | 1.02953i | ||||
\(973\) | −2.44417e12 | − | 1.17705e12i | −0.0874226 | − | 0.0421005i | ||||
\(974\) | 1.45549e13 | + | 1.35050e13i | 0.518196 | + | 0.480816i | ||||
\(975\) | −6.85744e12 | + | 1.03359e12i | −0.243020 | + | 0.0366293i | ||||
\(976\) | −8.96659e11 | + | 1.19651e13i | −0.0316303 | + | 0.422077i | ||||
\(977\) | 1.67790e12 | − | 4.27521e12i | 0.0589169 | − | 0.150118i | −0.898384 | − | 0.439210i | \(-0.855258\pi\) |
0.957301 | + | 0.289093i | \(0.0933535\pi\) | |||||||
\(978\) | −4.83696e12 | − | 2.11921e13i | −0.169063 | − | 0.740711i | ||||
\(979\) | 2.21066e12 | + | 2.94992e13i | 0.0769131 | + | 1.02633i | ||||
\(980\) | −2.57661e13 | − | 7.94779e12i | −0.892342 | − | 0.275251i | ||||
\(981\) | 1.89143e13 | − | 9.10867e12i | 0.652050 | − | 0.314011i | ||||
\(982\) | −3.57572e13 | + | 6.19333e13i | −1.22705 | + | 2.12531i | ||||
\(983\) | −2.07207e13 | − | 3.58894e13i | −0.707807 | − | 1.22596i | −0.965669 | − | 0.259775i | \(-0.916352\pi\) |
0.257863 | − | 0.966182i | \(-0.416982\pi\) | |||||||
\(984\) | 5.11679e13 | + | 3.48857e13i | 1.73988 | + | 1.18623i | ||||
\(985\) | −1.49660e12 | + | 6.55703e12i | −0.0506574 | + | 0.221945i | ||||
\(986\) | −2.56204e11 | − | 3.86165e10i | −0.00863255 | − | 0.00130115i | ||||
\(987\) | −1.10635e13 | − | 1.38731e13i | −0.371077 | − | 0.465316i | ||||
\(988\) | 1.72061e13 | 0.574481 | ||||||||
\(989\) | −7.82344e11 | − | 1.39454e11i | −0.0260024 | − | 0.00463499i | ||||
\(990\) | −4.50714e13 | −1.49122 | ||||||||
\(991\) | −1.60132e13 | − | 2.00799e13i | −0.527407 | − | 0.661348i | 0.444756 | − | 0.895652i | \(-0.353290\pi\) |
−0.972163 | + | 0.234304i | \(0.924719\pi\) | |||||||
\(992\) | −1.23356e13 | − | 1.85929e12i | −0.404442 | − | 0.0609598i | ||||
\(993\) | −2.12664e12 | + | 9.31743e12i | −0.0694101 | + | 0.304106i | ||||
\(994\) | −6.91436e13 | − | 4.71413e13i | −2.24654 | − | 1.53166i | ||||
\(995\) | −1.21073e13 | − | 2.09704e13i | −0.391600 | − | 0.678272i | ||||
\(996\) | 7.46521e12 | − | 1.29301e13i | 0.240367 | − | 0.416328i | ||||
\(997\) | 1.50075e13 | − | 7.22723e12i | 0.481039 | − | 0.231656i | −0.177618 | − | 0.984100i | \(-0.556839\pi\) |
0.658657 | + | 0.752443i | \(0.271125\pi\) | |||||||
\(998\) | 8.43255e13 | + | 2.60110e13i | 2.69074 | + | 0.829983i | ||||
\(999\) | −1.25618e12 | − | 1.67625e13i | −0.0399030 | − | 0.532469i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 43.10.g.a.9.3 | ✓ | 384 | |
43.24 | even | 21 | inner | 43.10.g.a.24.3 | yes | 384 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.10.g.a.9.3 | ✓ | 384 | 1.1 | even | 1 | trivial | |
43.10.g.a.24.3 | yes | 384 | 43.24 | even | 21 | inner |