Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,7,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, 7, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.2");
S:= CuspForms(chi, 7);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 7 \) |
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: | \(9.89232559565\) |
Analytic rank: | \(0\) |
Dimension: | \(126\) |
Relative dimension: | \(21\) over \(\Q(\zeta_{14})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{14}]$ |
Embedding invariants
Embedding label | 22.1 | ||
Character | \(\chi\) | \(=\) | 43.22 |
Dual form | 43.7.f.a.2.1 |
$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{5}{14}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −6.68851 | + | 13.8888i | −0.836063 | + | 1.73610i | −0.176720 | + | 0.984261i | \(0.556549\pi\) |
−0.659343 | + | 0.751842i | \(0.729166\pi\) | |||||||
\(3\) | 4.36630 | + | 9.06671i | 0.161715 | + | 0.335804i | 0.966043 | − | 0.258381i | \(-0.0831890\pi\) |
−0.804328 | + | 0.594185i | \(0.797475\pi\) | |||||||
\(4\) | −108.260 | − | 135.754i | −1.69156 | − | 2.12115i | ||||
\(5\) | 1.12402 | − | 0.256549i | 0.00899213 | − | 0.00205239i | −0.218023 | − | 0.975944i | \(-0.569961\pi\) |
0.227015 | + | 0.973891i | \(0.427103\pi\) | |||||||
\(6\) | −155.130 | −0.718194 | ||||||||
\(7\) | − | 114.871i | − | 0.334901i | −0.985880 | − | 0.167451i | \(-0.946446\pi\) | ||
0.985880 | − | 0.167451i | \(-0.0535535\pi\) | |||||||
\(8\) | 1647.71 | − | 376.078i | 3.21818 | − | 0.734528i | ||||
\(9\) | 391.383 | − | 490.779i | 0.536877 | − | 0.673223i | ||||
\(10\) | −3.95482 | + | 17.3272i | −0.00395482 | + | 0.0173272i | ||||
\(11\) | −143.971 | + | 180.533i | −0.108167 | + | 0.135637i | −0.832968 | − | 0.553321i | \(-0.813360\pi\) |
0.724801 | + | 0.688958i | \(0.241932\pi\) | |||||||
\(12\) | 758.145 | − | 1574.30i | 0.438741 | − | 0.911055i | ||||
\(13\) | −474.002 | − | 2076.74i | −0.215749 | − | 0.945260i | −0.960579 | − | 0.278006i | \(-0.910327\pi\) |
0.744830 | − | 0.667254i | \(-0.232531\pi\) | |||||||
\(14\) | 1595.43 | + | 768.317i | 0.581423 | + | 0.279999i | ||||
\(15\) | 7.23385 | + | 9.07095i | 0.00214336 | + | 0.00268769i | ||||
\(16\) | −3324.60 | + | 14566.0i | −0.811671 | + | 3.55616i | ||||
\(17\) | −265.325 | + | 1162.46i | −0.0540046 | + | 0.236610i | −0.994726 | − | 0.102572i | \(-0.967293\pi\) |
0.940721 | + | 0.339181i | \(0.110150\pi\) | |||||||
\(18\) | 4198.58 | + | 8718.44i | 0.719921 | + | 1.49493i | ||||
\(19\) | −1735.46 | + | 1383.99i | −0.253020 | + | 0.201777i | −0.741783 | − | 0.670640i | \(-0.766020\pi\) |
0.488763 | + | 0.872416i | \(0.337448\pi\) | |||||||
\(20\) | −156.513 | − | 124.815i | −0.0195642 | − | 0.0156019i | ||||
\(21\) | 1041.50 | − | 501.562i | 0.112461 | − | 0.0541585i | ||||
\(22\) | −1544.45 | − | 3207.08i | −0.145046 | − | 0.301191i | ||||
\(23\) | 10598.8 | − | 13290.5i | 0.871112 | − | 1.09234i | −0.123871 | − | 0.992298i | \(-0.539531\pi\) |
0.994983 | − | 0.100042i | \(-0.0318978\pi\) | |||||||
\(24\) | 10604.2 | + | 13297.2i | 0.767084 | + | 0.961893i | ||||
\(25\) | −14076.4 | + | 6778.86i | −0.900892 | + | 0.433847i | ||||
\(26\) | 32013.8 | + | 7306.94i | 1.82145 | + | 0.415734i | ||||
\(27\) | 13310.9 | + | 3038.12i | 0.676261 | + | 0.154352i | ||||
\(28\) | −15594.2 | + | 12436.0i | −0.710377 | + | 0.566507i | ||||
\(29\) | 15411.2 | − | 32001.6i | 0.631890 | − | 1.31213i | −0.301567 | − | 0.953445i | \(-0.597510\pi\) |
0.933457 | − | 0.358688i | \(-0.116776\pi\) | |||||||
\(30\) | −174.369 | + | 39.7985i | −0.00645809 | + | 0.00147402i | ||||
\(31\) | 20994.6 | + | 10110.5i | 0.704729 | + | 0.339380i | 0.751690 | − | 0.659517i | \(-0.229239\pi\) |
−0.0469602 | + | 0.998897i | \(0.514953\pi\) | |||||||
\(32\) | −95501.7 | − | 76160.1i | −2.91448 | − | 2.32422i | ||||
\(33\) | −2265.46 | − | 517.077i | −0.0630398 | − | 0.0143884i | ||||
\(34\) | −14370.6 | − | 11460.2i | −0.365627 | − | 0.291578i | ||||
\(35\) | −29.4701 | − | 129.117i | −0.000687350 | − | 0.00301148i | ||||
\(36\) | −108996. | −2.33617 | ||||||||
\(37\) | − | 52619.2i | − | 1.03882i | −0.854526 | − | 0.519408i | \(-0.826152\pi\) | ||
0.854526 | − | 0.519408i | \(-0.173848\pi\) | |||||||
\(38\) | −7614.28 | − | 33360.4i | −0.138764 | − | 0.607967i | ||||
\(39\) | 16759.5 | − | 13365.3i | 0.282532 | − | 0.225312i | ||||
\(40\) | 1755.57 | − | 845.436i | 0.0274307 | − | 0.0132099i | ||||
\(41\) | 72824.9 | + | 35070.6i | 1.05664 | + | 0.508852i | 0.879779 | − | 0.475383i | \(-0.157691\pi\) |
0.176864 | + | 0.984235i | \(0.443405\pi\) | |||||||
\(42\) | 17820.0i | 0.240524i | ||||||||
\(43\) | 78782.3 | − | 10710.5i | 0.990885 | − | 0.134711i | ||||
\(44\) | 40094.3 | 0.470679 | ||||||||
\(45\) | 314.012 | − | 652.053i | 0.00344595 | − | 0.00715559i | ||||
\(46\) | 113699. | + | 236099.i | 1.16811 | + | 2.42561i | ||||
\(47\) | −113860. | − | 142776.i | −1.09668 | − | 1.37519i | −0.920459 | − | 0.390840i | \(-0.872185\pi\) |
−0.176219 | − | 0.984351i | \(-0.556387\pi\) | |||||||
\(48\) | −146582. | + | 33456.5i | −1.32543 | + | 0.302521i | ||||
\(49\) | 104454. | 0.887841 | ||||||||
\(50\) | − | 240846.i | − | 1.92677i | ||||||
\(51\) | −11698.2 | + | 2670.04i | −0.0881878 | + | 0.0201283i | ||||
\(52\) | −230609. | + | 289175.i | −1.64009 | + | 2.05660i | ||||
\(53\) | −23546.0 | + | 103162.i | −0.158158 | + | 0.692934i | 0.832209 | + | 0.554462i | \(0.187076\pi\) |
−0.990366 | + | 0.138471i | \(0.955781\pi\) | |||||||
\(54\) | −131226. | + | 164552.i | −0.833369 | + | 1.04501i | ||||
\(55\) | −115.509 | + | 239.858i | −0.000694272 | + | 0.00144167i | ||||
\(56\) | −43200.5 | − | 189274.i | −0.245994 | − | 1.07777i | ||||
\(57\) | −20125.8 | − | 9692.05i | −0.108674 | − | 0.0523349i | ||||
\(58\) | 341387. | + | 428086.i | 1.74970 | + | 2.19405i | ||||
\(59\) | 9340.51 | − | 40923.5i | 0.0454794 | − | 0.199258i | −0.947084 | − | 0.320985i | \(-0.895986\pi\) |
0.992564 | + | 0.121727i | \(0.0388432\pi\) | |||||||
\(60\) | 448.280 | − | 1964.04i | 0.00207537 | − | 0.00909279i | ||||
\(61\) | −173626. | − | 360538.i | −0.764936 | − | 1.58841i | −0.807893 | − | 0.589329i | \(-0.799392\pi\) |
0.0429568 | − | 0.999077i | \(-0.486322\pi\) | |||||||
\(62\) | −280845. | + | 223966.i | −1.17840 | + | 0.939740i | ||||
\(63\) | −56376.4 | − | 44958.7i | −0.225463 | − | 0.179801i | ||||
\(64\) | 835031. | − | 402130.i | 3.18539 | − | 1.53400i | ||||
\(65\) | −1065.57 | − | 2212.68i | −0.00388009 | − | 0.00805709i | ||||
\(66\) | 22334.1 | − | 28006.1i | 0.0776851 | − | 0.0974140i | ||||
\(67\) | 99720.3 | + | 125045.i | 0.331558 | + | 0.415760i | 0.919467 | − | 0.393166i | \(-0.128620\pi\) |
−0.587910 | + | 0.808927i | \(0.700049\pi\) | |||||||
\(68\) | 186533. | − | 89829.4i | 0.593237 | − | 0.285688i | ||||
\(69\) | 166779. | + | 38066.2i | 0.507684 | + | 0.115876i | ||||
\(70\) | 1990.39 | + | 454.295i | 0.00580290 | + | 0.00132447i | ||||
\(71\) | 23567.9 | − | 18794.8i | 0.0658485 | − | 0.0525125i | −0.590012 | − | 0.807394i | \(-0.700877\pi\) |
0.655861 | + | 0.754882i | \(0.272306\pi\) | |||||||
\(72\) | 460313. | − | 955851.i | 1.23326 | − | 2.56090i | ||||
\(73\) | −466171. | + | 106400.i | −1.19833 | + | 0.273511i | −0.774703 | − | 0.632326i | \(-0.782100\pi\) |
−0.423627 | + | 0.905837i | \(0.639243\pi\) | |||||||
\(74\) | 730819. | + | 351944.i | 1.80349 | + | 0.868517i | ||||
\(75\) | −122924. | − | 98028.5i | −0.291375 | − | 0.232364i | ||||
\(76\) | 375763. | + | 85765.4i | 0.855998 | + | 0.195376i | ||||
\(77\) | 20738.1 | + | 16538.1i | 0.0454252 | + | 0.0362254i | ||||
\(78\) | 73531.8 | + | 322164.i | 0.154950 | + | 0.678880i | ||||
\(79\) | −226642. | −0.459684 | −0.229842 | − | 0.973228i | \(-0.573821\pi\) | ||||
−0.229842 | + | 0.973228i | \(0.573821\pi\) | |||||||
\(80\) | 17225.4i | 0.0336433i | ||||||||
\(81\) | −71255.6 | − | 312191.i | −0.134080 | − | 0.587442i | ||||
\(82\) | −974179. | + | 776882.i | −1.76684 | + | 1.40901i | ||||
\(83\) | −649105. | + | 312592.i | −1.13522 | + | 0.546694i | −0.904562 | − | 0.426341i | \(-0.859802\pi\) |
−0.230659 | + | 0.973035i | \(0.574088\pi\) | |||||||
\(84\) | −180842. | − | 87089.0i | −0.305114 | − | 0.146935i | ||||
\(85\) | 1374.70i | 0.00223846i | ||||||||
\(86\) | −378180. | + | 1.16583e6i | −0.594570 | + | 1.83291i | ||||
\(87\) | 357439. | 0.542806 | ||||||||
\(88\) | −169327. | + | 351610.i | −0.248472 | + | 0.515957i | ||||
\(89\) | −467543. | − | 970862.i | −0.663210 | − | 1.37717i | −0.912635 | − | 0.408776i | \(-0.865956\pi\) |
0.249425 | − | 0.968394i | \(-0.419759\pi\) | |||||||
\(90\) | 6955.98 | + | 8722.52i | 0.00954180 | + | 0.0119650i | ||||
\(91\) | −238557. | + | 54449.1i | −0.316569 | + | 0.0722548i | ||||
\(92\) | −2.95167e6 | −3.79056 | ||||||||
\(93\) | 234497.i | 0.291534i | ||||||||
\(94\) | 2.74455e6 | − | 626426.i | 3.30437 | − | 0.754200i | ||||
\(95\) | −1595.63 | + | 2000.85i | −0.00186106 | + | 0.00233370i | ||||
\(96\) | 273532. | − | 1.19842e6i | 0.309168 | − | 1.35456i | ||||
\(97\) | −91309.4 | + | 114498.i | −0.100046 | + | 0.125454i | −0.829334 | − | 0.558753i | \(-0.811280\pi\) |
0.729288 | + | 0.684207i | \(0.239851\pi\) | |||||||
\(98\) | −698639. | + | 1.45074e6i | −0.742291 | + | 1.54138i | ||||
\(99\) | 32254.4 | + | 141316.i | 0.0332417 | + | 0.145641i | ||||
\(100\) | 2.44417e6 | + | 1.17705e6i | 2.44417 | + | 1.17705i | ||||
\(101\) | 767188. | + | 962023.i | 0.744625 | + | 0.933730i | 0.999447 | − | 0.0332581i | \(-0.0105883\pi\) |
−0.254822 | + | 0.966988i | \(0.582017\pi\) | |||||||
\(102\) | 41159.8 | − | 180333.i | 0.0387858 | − | 0.169932i | ||||
\(103\) | −787.998 | + | 3452.44i | −0.000721130 | + | 0.00315948i | −0.975287 | − | 0.220941i | \(-0.929087\pi\) |
0.974566 | + | 0.224100i | \(0.0719443\pi\) | |||||||
\(104\) | −1.56203e6 | − | 3.24359e6i | −1.38864 | − | 2.88354i | ||||
\(105\) | 1041.99 | − | 830.960i | 0.000900111 | − | 0.000717815i | ||||
\(106\) | −1.27531e6 | − | 1.01703e6i | −1.07077 | − | 0.853914i | ||||
\(107\) | 1.62781e6 | − | 783913.i | 1.32878 | − | 0.639906i | 0.371328 | − | 0.928502i | \(-0.378903\pi\) |
0.957451 | + | 0.288595i | \(0.0931882\pi\) | |||||||
\(108\) | −1.02860e6 | − | 2.13591e6i | −0.816534 | − | 1.69555i | ||||
\(109\) | 565030. | − | 708526.i | 0.436307 | − | 0.547112i | −0.514259 | − | 0.857635i | \(-0.671933\pi\) |
0.950566 | + | 0.310523i | \(0.100504\pi\) | |||||||
\(110\) | −2558.76 | − | 3208.58i | −0.00192243 | − | 0.00241066i | ||||
\(111\) | 477083. | − | 229751.i | 0.348839 | − | 0.167992i | ||||
\(112\) | 1.67322e6 | + | 381901.i | 1.19096 | + | 0.271830i | ||||
\(113\) | −1.94947e6 | − | 444954.i | −1.35108 | − | 0.308375i | −0.515098 | − | 0.857131i | \(-0.672245\pi\) |
−0.835983 | + | 0.548756i | \(0.815102\pi\) | |||||||
\(114\) | 269222. | − | 214698.i | 0.181717 | − | 0.144915i | ||||
\(115\) | 8503.58 | − | 17657.9i | 0.00559124 | − | 0.0116103i | ||||
\(116\) | −6.01275e6 | + | 1.37237e6i | −3.85212 | + | 0.879220i | ||||
\(117\) | −1.20474e6 | − | 580170.i | −0.752201 | − | 0.362241i | ||||
\(118\) | 505905. | + | 403446.i | 0.307909 | + | 0.245549i | ||||
\(119\) | 133534. | + | 30478.2i | 0.0792409 | + | 0.0180862i | ||||
\(120\) | 15330.6 | + | 12225.8i | 0.00887190 | + | 0.00707510i | ||||
\(121\) | 382345. | + | 1.67516e6i | 0.215824 | + | 0.945585i | ||||
\(122\) | 6.16875e6 | 3.39717 | ||||||||
\(123\) | 813411.i | 0.437114i | ||||||||
\(124\) | −900342. | − | 3.94465e6i | −0.472218 | − | 2.06892i | ||||
\(125\) | −28167.3 | + | 22462.6i | −0.0144216 | + | 0.0115009i | ||||
\(126\) | 1.00150e6 | − | 482296.i | 0.500654 | − | 0.241102i | ||||
\(127\) | 1.76275e6 | + | 848894.i | 0.860555 | + | 0.414422i | 0.811485 | − | 0.584374i | \(-0.198660\pi\) |
0.0490707 | + | 0.998795i | \(0.484374\pi\) | |||||||
\(128\) | 6.46956e6i | 3.08493i | ||||||||
\(129\) | 441096. | + | 667531.i | 0.205477 | + | 0.310958i | ||||
\(130\) | 37858.6 | 0.0172320 | ||||||||
\(131\) | 654391. | − | 1.35886e6i | 0.291087 | − | 0.604449i | −0.703223 | − | 0.710969i | \(-0.748257\pi\) |
0.994311 | + | 0.106520i | \(0.0339709\pi\) | |||||||
\(132\) | 175064. | + | 363524.i | 0.0761158 | + | 0.158056i | ||||
\(133\) | 158980. | + | 199355.i | 0.0675753 | + | 0.0847367i | ||||
\(134\) | −2.40371e6 | + | 548632.i | −0.999006 | + | 0.228017i | ||||
\(135\) | 15741.0 | 0.00639782 | ||||||||
\(136\) | 2.01518e6i | 0.801119i | ||||||||
\(137\) | 2.24073e6 | − | 511431.i | 0.871419 | − | 0.198896i | 0.236648 | − | 0.971596i | \(-0.423951\pi\) |
0.634772 | + | 0.772700i | \(0.281094\pi\) | |||||||
\(138\) | −1.64420e6 | + | 2.06176e6i | −0.625628 | + | 0.784513i | ||||
\(139\) | 184760. | − | 809484.i | 0.0687959 | − | 0.301414i | −0.928811 | − | 0.370553i | \(-0.879168\pi\) |
0.997607 | + | 0.0691390i | \(0.0220252\pi\) | |||||||
\(140\) | −14337.7 | + | 17978.9i | −0.00522510 | + | 0.00655207i | ||||
\(141\) | 797364. | − | 1.65574e6i | 0.284446 | − | 0.590658i | ||||
\(142\) | 103403. | + | 453040.i | 0.0361135 | + | 0.158224i | ||||
\(143\) | 443163. | + | 213416.i | 0.151550 | + | 0.0729825i | ||||
\(144\) | 5.84752e6 | + | 7.33255e6i | 1.95832 | + | 2.45566i | ||||
\(145\) | 9112.40 | − | 39924.0i | 0.00298902 | − | 0.0130958i | ||||
\(146\) | 1.64021e6 | − | 7.18622e6i | 0.527036 | − | 2.30910i | ||||
\(147\) | 456076. | + | 947051.i | 0.143577 | + | 0.298141i | ||||
\(148\) | −7.14325e6 | + | 5.69655e6i | −2.20349 | + | 1.75722i | ||||
\(149\) | 3.00345e6 | + | 2.39517e6i | 0.907949 | + | 0.724065i | 0.961588 | − | 0.274495i | \(-0.0885108\pi\) |
−0.0536395 | + | 0.998560i | \(0.517082\pi\) | |||||||
\(150\) | 2.18368e6 | − | 1.05160e6i | 0.647016 | − | 0.311586i | ||||
\(151\) | −911094. | − | 1.89191e6i | −0.264626 | − | 0.549501i | 0.725741 | − | 0.687968i | \(-0.241497\pi\) |
−0.990367 | + | 0.138467i | \(0.955783\pi\) | |||||||
\(152\) | −2.33905e6 | + | 2.93307e6i | −0.666052 | + | 0.835203i | ||||
\(153\) | 466669. | + | 585185.i | 0.130297 | + | 0.163387i | ||||
\(154\) | −368401. | + | 177413.i | −0.100869 | + | 0.0485761i | ||||
\(155\) | 26192.1 | + | 5978.17i | 0.00703356 | + | 0.00160536i | ||||
\(156\) | −3.62877e6 | − | 828244.i | −0.955842 | − | 0.218165i | ||||
\(157\) | −5.46992e6 | + | 4.36211e6i | −1.41345 | + | 1.12719i | −0.440083 | + | 0.897957i | \(0.645051\pi\) |
−0.973371 | + | 0.229235i | \(0.926378\pi\) | |||||||
\(158\) | 1.51590e6 | − | 3.14779e6i | 0.384325 | − | 0.798058i | ||||
\(159\) | −1.03815e6 | + | 236950.i | −0.258266 | + | 0.0589476i | ||||
\(160\) | −126884. | − | 61104.2i | −0.0309776 | − | 0.0149180i | ||||
\(161\) | −1.52670e6 | − | 1.21750e6i | −0.365826 | − | 0.291737i | ||||
\(162\) | 4.81256e6 | + | 1.09844e6i | 1.13196 | + | 0.258362i | ||||
\(163\) | −312394. | − | 249126.i | −0.0721340 | − | 0.0575249i | 0.586759 | − | 0.809762i | \(-0.300404\pi\) |
−0.658893 | + | 0.752237i | \(0.728975\pi\) | |||||||
\(164\) | −3.12305e6 | − | 1.36830e7i | −0.708024 | − | 3.10206i | ||||
\(165\) | −2679.07 | −0.000596393 | ||||||||
\(166\) | − | 1.11061e7i | − | 2.42793i | ||||||
\(167\) | −607628. | − | 2.66219e6i | −0.130463 | − | 0.571597i | −0.997328 | − | 0.0730537i | \(-0.976726\pi\) |
0.866865 | − | 0.498543i | \(-0.166132\pi\) | |||||||
\(168\) | 1.52747e6 | − | 1.21811e6i | 0.322139 | − | 0.256897i | ||||
\(169\) | 260648. | − | 125522.i | 0.0540001 | − | 0.0260051i | ||||
\(170\) | −19092.9 | − | 9194.66i | −0.00388620 | − | 0.00187150i | ||||
\(171\) | 1.39340e6i | 0.278668i | ||||||||
\(172\) | −9.98296e6 | − | 9.53548e6i | −1.96189 | − | 1.87395i | ||||
\(173\) | 4.38233e6 | 0.846382 | 0.423191 | − | 0.906040i | \(-0.360910\pi\) | ||||
0.423191 | + | 0.906040i | \(0.360910\pi\) | |||||||
\(174\) | −2.39073e6 | + | 4.96441e6i | −0.453820 | + | 0.942366i | ||||
\(175\) | 778695. | + | 1.61698e6i | 0.145296 | + | 0.301710i | ||||
\(176\) | −2.15101e6 | − | 2.69728e6i | −0.394553 | − | 0.494753i | ||||
\(177\) | 411825. | − | 93996.3i | 0.0742664 | − | 0.0169508i | ||||
\(178\) | 1.66113e7 | 2.94539 | ||||||||
\(179\) | 7.85496e6i | 1.36957i | 0.728744 | + | 0.684786i | \(0.240104\pi\) | ||||
−0.728744 | + | 0.684786i | \(0.759896\pi\) | |||||||
\(180\) | −122514. | + | 27962.9i | −0.0210071 | + | 0.00479474i | ||||
\(181\) | −7.00741e6 | + | 8.78701e6i | −1.18174 | + | 1.48185i | −0.341295 | + | 0.939956i | \(0.610866\pi\) |
−0.840444 | + | 0.541898i | \(0.817706\pi\) | |||||||
\(182\) | 839357. | − | 3.67746e6i | 0.139230 | − | 0.610006i | ||||
\(183\) | 2.51079e6 | − | 3.14843e6i | 0.409692 | − | 0.513737i | ||||
\(184\) | 1.24655e7 | − | 2.58848e7i | 2.00104 | − | 4.15520i | ||||
\(185\) | −13499.4 | − | 59144.8i | −0.00213206 | − | 0.00934117i | ||||
\(186\) | −3.25689e6 | − | 1.56844e6i | −0.506133 | − | 0.243741i | ||||
\(187\) | −171664. | − | 215260.i | −0.0262516 | − | 0.0329185i | ||||
\(188\) | −7.05591e6 | + | 3.09140e7i | −1.06189 | + | 4.65244i | ||||
\(189\) | 348992. | − | 1.52903e6i | 0.0516928 | − | 0.226481i | ||||
\(190\) | −17117.1 | − | 35544.1i | −0.00249557 | − | 0.00518211i | ||||
\(191\) | 252002. | − | 200965.i | 0.0361662 | − | 0.0288416i | −0.605240 | − | 0.796043i | \(-0.706923\pi\) |
0.641406 | + | 0.767202i | \(0.278351\pi\) | |||||||
\(192\) | 7.29198e6 | + | 5.81516e6i | 1.03025 | + | 0.821596i | ||||
\(193\) | −7.37076e6 | + | 3.54957e6i | −1.02528 | + | 0.493747i | −0.869441 | − | 0.494037i | \(-0.835521\pi\) |
−0.155834 | + | 0.987783i | \(0.549807\pi\) | |||||||
\(194\) | −979525. | − | 2.03400e6i | −0.134156 | − | 0.278578i | ||||
\(195\) | 15409.1 | − | 19322.4i | 0.00207814 | − | 0.00260590i | ||||
\(196\) | −1.13081e7 | − | 1.41800e7i | −1.50184 | − | 1.88325i | ||||
\(197\) | −1.10934e7 | + | 5.34230e6i | −1.45099 | + | 0.698762i | −0.982767 | − | 0.184846i | \(-0.940821\pi\) |
−0.468227 | + | 0.883608i | \(0.655107\pi\) | |||||||
\(198\) | −2.17844e6 | − | 497215.i | −0.280640 | − | 0.0640543i | ||||
\(199\) | 7.65792e6 | + | 1.74787e6i | 0.971744 | + | 0.221794i | 0.678790 | − | 0.734332i | \(-0.262505\pi\) |
0.292954 | + | 0.956127i | \(0.405362\pi\) | |||||||
\(200\) | −2.06445e7 | + | 1.64634e7i | −2.58056 | + | 2.05793i | ||||
\(201\) | −698341. | + | 1.45012e6i | −0.0859962 | + | 0.178573i | ||||
\(202\) | −1.84927e7 | + | 4.22084e6i | −2.24360 | + | 0.512088i | ||||
\(203\) | −3.67606e6 | − | 1.77030e6i | −0.439435 | − | 0.211621i | ||||
\(204\) | 1.62892e6 | + | 1.29902e6i | 0.191870 | + | 0.153012i | ||||
\(205\) | 90853.6 | + | 20736.7i | 0.0105458 | + | 0.00240702i | ||||
\(206\) | −42679.9 | − | 34036.1i | −0.00488226 | − | 0.00389348i | ||||
\(207\) | −2.37450e6 | − | 1.04034e7i | −0.267708 | − | 1.17291i | ||||
\(208\) | 3.18257e7 | 3.53662 | ||||||||
\(209\) | − | 512562.i | − | 0.0561446i | ||||||
\(210\) | 4571.70 | + | 20029.9i | 0.000493651 | + | 0.00216282i | ||||
\(211\) | −3.12358e6 | + | 2.49097e6i | −0.332510 | + | 0.265168i | −0.775485 | − | 0.631366i | \(-0.782495\pi\) |
0.442975 | + | 0.896534i | \(0.353923\pi\) | |||||||
\(212\) | 1.65537e7 | − | 7.97184e6i | 1.73735 | − | 0.836664i | ||||
\(213\) | 273311. | + | 131620.i | 0.0282826 | + | 0.0136202i | ||||
\(214\) | 2.78516e7i | 2.84190i | ||||||||
\(215\) | 85804.8 | − | 32250.3i | 0.00863368 | − | 0.00324503i | ||||
\(216\) | 2.30749e7 | 2.28970 | ||||||||
\(217\) | 1.16140e6 | − | 2.41167e6i | 0.113659 | − | 0.236015i | ||||
\(218\) | 6.06138e6 | + | 1.25866e7i | 0.585062 | + | 1.21489i | ||||
\(219\) | −3.00014e6 | − | 3.76206e6i | −0.285634 | − | 0.358173i | ||||
\(220\) | 45066.7 | − | 10286.2i | 0.00423241 | − | 0.000966019i | ||||
\(221\) | 2.53989e6 | 0.235309 | ||||||||
\(222\) | 8.16281e6i | 0.746072i | ||||||||
\(223\) | 1.47677e6 | − | 337062.i | 0.133167 | − | 0.0303946i | −0.155418 | − | 0.987849i | \(-0.549672\pi\) |
0.288585 | + | 0.957454i | \(0.406815\pi\) | |||||||
\(224\) | −8.74860e6 | + | 1.09704e7i | −0.778385 | + | 0.976064i | ||||
\(225\) | −2.18236e6 | + | 9.56156e6i | −0.191593 | + | 0.839423i | ||||
\(226\) | 1.92189e7 | − | 2.40998e7i | 1.66496 | − | 2.08779i | ||||
\(227\) | 4.26801e6 | − | 8.86262e6i | 0.364878 | − | 0.757678i | −0.635012 | − | 0.772502i | \(-0.719005\pi\) |
0.999890 | + | 0.0148249i | \(0.00471908\pi\) | |||||||
\(228\) | 863082. | + | 3.78141e6i | 0.0728194 | + | 0.319043i | ||||
\(229\) | 4.89383e6 | + | 2.35674e6i | 0.407514 | + | 0.196248i | 0.626399 | − | 0.779502i | \(-0.284528\pi\) |
−0.218886 | + | 0.975750i | \(0.570242\pi\) | |||||||
\(230\) | 188371. | + | 236209.i | 0.0154821 | + | 0.0194139i | ||||
\(231\) | −59397.2 | + | 260236.i | −0.00481871 | + | 0.0211121i | ||||
\(232\) | 1.33580e7 | − | 5.85251e7i | 1.06974 | − | 4.68682i | ||||
\(233\) | 184983. | + | 384121.i | 0.0146239 | + | 0.0303669i | 0.908153 | − | 0.418639i | \(-0.137493\pi\) |
−0.893529 | + | 0.449006i | \(0.851778\pi\) | |||||||
\(234\) | 1.61158e7 | − | 1.28519e7i | 1.25778 | − | 1.00304i | ||||
\(235\) | −164610. | − | 131272.i | −0.0126839 | − | 0.0101151i | ||||
\(236\) | −6.56672e6 | + | 3.16236e6i | −0.499588 | + | 0.240589i | ||||
\(237\) | −989586. | − | 2.05490e6i | −0.0743376 | − | 0.154364i | ||||
\(238\) | −1.31645e6 | + | 1.65077e6i | −0.0976499 | + | 0.122449i | ||||
\(239\) | −1.22896e7 | − | 1.54106e7i | −0.900208 | − | 1.12883i | −0.991120 | − | 0.132967i | \(-0.957550\pi\) |
0.0909120 | − | 0.995859i | \(-0.471022\pi\) | |||||||
\(240\) | −156178. | + | 75211.2i | −0.0112976 | + | 0.00544062i | ||||
\(241\) | −1.10439e7 | − | 2.52069e6i | −0.788988 | − | 0.180081i | −0.191004 | − | 0.981589i | \(-0.561174\pi\) |
−0.597984 | + | 0.801508i | \(0.704031\pi\) | |||||||
\(242\) | −2.58233e7 | − | 5.89401e6i | −1.82208 | − | 0.415877i | ||||
\(243\) | 1.03011e7 | − | 8.21487e6i | 0.717902 | − | 0.572508i | ||||
\(244\) | −3.01476e7 | + | 6.26022e7i | −2.07531 | + | 4.30943i | ||||
\(245\) | 117408. | − | 26797.5i | 0.00798358 | − | 0.00182220i | ||||
\(246\) | −1.12973e7 | − | 5.44050e6i | −0.758875 | − | 0.365455i | ||||
\(247\) | 3.69679e6 | + | 2.94809e6i | 0.245320 | + | 0.195636i | ||||
\(248\) | 3.83952e7 | + | 8.76346e6i | 2.51723 | + | 0.574541i | ||||
\(249\) | −5.66837e6 | − | 4.52037e6i | −0.367164 | − | 0.292803i | ||||
\(250\) | −123583. | − | 541452.i | −0.00790930 | − | 0.0346529i | ||||
\(251\) | 3.04247e7 | 1.92400 | 0.962000 | − | 0.273050i | \(-0.0880324\pi\) | ||||
0.962000 | + | 0.273050i | \(0.0880324\pi\) | |||||||
\(252\) | 1.25205e7i | 0.782386i | ||||||||
\(253\) | 873461. | + | 3.82688e6i | 0.0539364 | + | 0.236311i | ||||
\(254\) | −2.35803e7 | + | 1.88047e7i | −1.43896 | + | 1.14753i | ||||
\(255\) | −12464.0 | + | 6002.33i | −0.000751685 | + | 0.000361992i | ||||
\(256\) | −3.64126e7 | − | 1.75354e7i | −2.17036 | − | 1.04519i | ||||
\(257\) | 6.84569e6i | 0.403290i | 0.979459 | + | 0.201645i | \(0.0646288\pi\) | ||||
−0.979459 | + | 0.201645i | \(0.935371\pi\) | |||||||
\(258\) | −1.22215e7 | + | 1.66152e6i | −0.711648 | + | 0.0967488i | ||||
\(259\) | −6.04443e6 | −0.347901 | ||||||||
\(260\) | −185021. | + | 384200.i | −0.0105269 | + | 0.0218593i | ||||
\(261\) | −9.67405e6 | − | 2.00884e7i | −0.544110 | − | 1.12986i | ||||
\(262\) | 1.44960e7 | + | 1.81774e7i | 0.806018 | + | 1.01072i | ||||
\(263\) | 2.94880e7 | − | 6.73044e6i | 1.62098 | − | 0.369978i | 0.686819 | − | 0.726828i | \(-0.259006\pi\) |
0.934162 | + | 0.356850i | \(0.116149\pi\) | |||||||
\(264\) | −3.92728e6 | −0.213442 | ||||||||
\(265\) | 121996.i | 0.00655555i | ||||||||
\(266\) | −3.83214e6 | + | 874662.i | −0.203609 | + | 0.0464724i | ||||
\(267\) | 6.76110e6 | − | 8.47815e6i | 0.355208 | − | 0.445417i | ||||
\(268\) | 6.17965e6 | − | 2.70748e7i | 0.321040 | − | 1.40657i | ||||
\(269\) | −2.76405e6 | + | 3.46601e6i | −0.142000 | + | 0.178063i | −0.847746 | − | 0.530403i | \(-0.822041\pi\) |
0.705745 | + | 0.708465i | \(0.250612\pi\) | |||||||
\(270\) | −105284. | + | 218625.i | −0.00534898 | + | 0.0111073i | ||||
\(271\) | 3.42519e6 | + | 1.50068e7i | 0.172099 | + | 0.754013i | 0.985132 | + | 0.171797i | \(0.0549572\pi\) |
−0.813034 | + | 0.582216i | \(0.802186\pi\) | |||||||
\(272\) | −1.60504e7 | − | 7.72946e6i | −0.797588 | − | 0.384098i | ||||
\(273\) | −1.53529e6 | − | 1.92519e6i | −0.0754573 | − | 0.0946205i | ||||
\(274\) | −7.88393e6 | + | 3.45418e7i | −0.383258 | + | 1.67916i | ||||
\(275\) | 802783. | − | 3.51722e6i | 0.0386012 | − | 0.169123i | ||||
\(276\) | −1.28878e7 | − | 2.67619e7i | −0.612990 | − | 1.27289i | ||||
\(277\) | −6.74300e6 | + | 5.37736e6i | −0.317259 | + | 0.253006i | −0.769151 | − | 0.639067i | \(-0.779321\pi\) |
0.451892 | + | 0.892073i | \(0.350749\pi\) | |||||||
\(278\) | 1.00070e7 | + | 7.98033e6i | 0.465769 | + | 0.371438i | ||||
\(279\) | 1.31789e7 | − | 6.34664e6i | 0.606831 | − | 0.292235i | ||||
\(280\) | −97116.2 | − | 201664.i | −0.00442402 | − | 0.00918658i | ||||
\(281\) | 3.40085e6 | − | 4.26453e6i | 0.153274 | − | 0.192200i | −0.699266 | − | 0.714862i | \(-0.746490\pi\) |
0.852540 | + | 0.522662i | \(0.175061\pi\) | |||||||
\(282\) | 1.76632e7 | + | 2.21489e7i | 0.787628 | + | 0.987654i | ||||
\(283\) | 2.34453e7 | − | 1.12906e7i | 1.03442 | − | 0.498149i | 0.161938 | − | 0.986801i | \(-0.448226\pi\) |
0.872479 | + | 0.488652i | \(0.162511\pi\) | |||||||
\(284\) | −5.10293e6 | − | 1.16471e6i | −0.222774 | − | 0.0508467i | ||||
\(285\) | −25108.2 | − | 5730.77i | −0.00108463 | − | 0.000247559i | ||||
\(286\) | −5.92819e6 | + | 4.72757e6i | −0.253410 | + | 0.202088i | ||||
\(287\) | 4.02860e6 | − | 8.36548e6i | 0.170415 | − | 0.353871i | ||||
\(288\) | −7.47556e7 | + | 1.70625e7i | −3.12944 | + | 0.714273i | ||||
\(289\) | 2.04663e7 | + | 9.85604e6i | 0.847901 | + | 0.408328i | ||||
\(290\) | 493550. | + | 393593.i | 0.0202366 | + | 0.0161381i | ||||
\(291\) | −1.43681e6 | − | 327942.i | −0.0583069 | − | 0.0133082i | ||||
\(292\) | 6.49119e7 | + | 5.17655e7i | 2.60721 | + | 2.07918i | ||||
\(293\) | −3.43227e6 | − | 1.50377e7i | −0.136451 | − | 0.597833i | −0.996198 | − | 0.0871127i | \(-0.972236\pi\) |
0.859747 | − | 0.510720i | \(-0.170621\pi\) | |||||||
\(294\) | −1.62039e7 | −0.637642 | ||||||||
\(295\) | − | 48394.9i | − | 0.00188510i | ||||||
\(296\) | −1.97889e7 | − | 8.67010e7i | −0.763040 | − | 3.34310i | ||||
\(297\) | −2.46485e6 | + | 1.96565e6i | −0.0940853 | + | 0.0750305i | ||||
\(298\) | −5.33547e7 | + | 2.56943e7i | −2.01615 | + | 0.970929i | ||||
\(299\) | −3.26247e7 | − | 1.57112e7i | −1.22049 | − | 0.587756i | ||||
\(300\) | 2.72999e7i | 1.01111i | ||||||||
\(301\) | −1.23033e6 | − | 9.04981e6i | −0.0451150 | − | 0.331849i | ||||
\(302\) | 3.23702e7 | 1.17523 | ||||||||
\(303\) | −5.37261e6 | + | 1.11563e7i | −0.193134 | + | 0.401046i | ||||
\(304\) | −1.43895e7 | − | 2.98800e7i | −0.512182 | − | 1.06356i | ||||
\(305\) | −287654. | − | 360707.i | −0.0101384 | − | 0.0127132i | ||||
\(306\) | −1.12488e7 | + | 2.56748e6i | −0.392594 | + | 0.0896070i | ||||
\(307\) | −2.50492e7 | −0.865724 | −0.432862 | − | 0.901460i | \(-0.642496\pi\) | ||||
−0.432862 | + | 0.901460i | \(0.642496\pi\) | |||||||
\(308\) | − | 4.60568e6i | − | 0.157631i | ||||||
\(309\) | −34742.9 | + | 7929.85i | −0.00117758 | + | 0.000268775i | ||||
\(310\) | −258216. | + | 323792.i | −0.00866758 | + | 0.0108688i | ||||
\(311\) | 9.21445e6 | − | 4.03711e7i | 0.306329 | − | 1.34212i | −0.554060 | − | 0.832477i | \(-0.686922\pi\) |
0.860389 | − | 0.509639i | \(-0.170221\pi\) | |||||||
\(312\) | 2.25884e7 | − | 2.83250e7i | 0.743741 | − | 0.932621i | ||||
\(313\) | −1.13967e7 | + | 2.36655e7i | −0.371661 | + | 0.771761i | −0.999981 | − | 0.00619355i | \(-0.998029\pi\) |
0.628320 | + | 0.777955i | \(0.283743\pi\) | |||||||
\(314\) | −2.39991e7 | − | 1.05147e8i | −0.775185 | − | 3.39631i | ||||
\(315\) | −74902.1 | − | 36070.9i | −0.00239642 | − | 0.00115405i | ||||
\(316\) | 2.45363e7 | + | 3.07675e7i | 0.777584 | + | 0.975059i | ||||
\(317\) | 1.38147e6 | − | 6.05262e6i | 0.0433675 | − | 0.190005i | −0.948604 | − | 0.316465i | \(-0.897504\pi\) |
0.991972 | + | 0.126459i | \(0.0403613\pi\) | |||||||
\(318\) | 3.65269e6 | − | 1.60035e7i | 0.113588 | − | 0.497661i | ||||
\(319\) | 3.55861e6 | + | 7.38952e6i | 0.109625 | + | 0.227638i | ||||
\(320\) | 835421. | − | 666226.i | 0.0254950 | − | 0.0203316i | ||||
\(321\) | 1.42150e7 | + | 1.13361e7i | 0.429766 | + | 0.342727i | ||||
\(322\) | 2.71210e7 | − | 1.30608e7i | 0.812339 | − | 0.391202i | ||||
\(323\) | −1.14837e6 | − | 2.38462e6i | −0.0340781 | − | 0.0707638i | ||||
\(324\) | −3.46670e7 | + | 4.34710e7i | −1.01925 | + | 1.27810i | ||||
\(325\) | 2.07502e7 | + | 2.60199e7i | 0.604465 | + | 0.757975i | ||||
\(326\) | 5.54951e6 | − | 2.67250e6i | 0.160178 | − | 0.0771375i | ||||
\(327\) | 8.89109e6 | + | 2.02933e6i | 0.254280 | + | 0.0580377i | ||||
\(328\) | 1.33183e8 | + | 3.03982e7i | 3.77423 | + | 0.861443i | ||||
\(329\) | −1.64009e7 | + | 1.30793e7i | −0.460553 | + | 0.367279i | ||||
\(330\) | 17919.0 | − | 37209.2i | 0.000498622 | − | 0.00103540i | ||||
\(331\) | −1.67994e7 | + | 3.83435e6i | −0.463243 | + | 0.105732i | −0.447771 | − | 0.894148i | \(-0.647782\pi\) |
−0.0154719 | + | 0.999880i | \(0.504925\pi\) | |||||||
\(332\) | 1.12708e8 | + | 5.42771e7i | 3.07992 | + | 1.48321i | ||||
\(333\) | −2.58244e7 | − | 2.05943e7i | −0.699355 | − | 0.557717i | ||||
\(334\) | 4.10389e7 | + | 9.36685e6i | 1.10143 | + | 0.251394i | ||||
\(335\) | 144167. | + | 114970.i | 0.00383471 | + | 0.00305808i | ||||
\(336\) | 3.84318e6 | + | 1.68381e7i | 0.101315 | + | 0.443889i | ||||
\(337\) | −3.55032e7 | −0.927637 | −0.463818 | − | 0.885930i | \(-0.653521\pi\) | ||||
−0.463818 | + | 0.885930i | \(0.653521\pi\) | |||||||
\(338\) | 4.45965e6i | 0.115492i | ||||||||
\(339\) | −4.47770e6 | − | 1.96181e7i | −0.114936 | − | 0.503567i | ||||
\(340\) | 186620. | − | 148825.i | 0.00474812 | − | 0.00378650i | ||||
\(341\) | −4.84788e6 | + | 2.33462e6i | −0.122261 | + | 0.0588779i | ||||
\(342\) | −1.93527e7 | − | 9.31976e6i | −0.483796 | − | 0.232984i | ||||
\(343\) | − | 2.55132e7i | − | 0.632241i | ||||||
\(344\) | 1.25782e8 | − | 4.72760e7i | 3.08989 | − | 1.16136i | ||||
\(345\) | 197228. | 0.00480298 | ||||||||
\(346\) | −2.93112e7 | + | 6.08654e7i | −0.707629 | + | 1.46941i | ||||
\(347\) | 2.24218e7 | + | 4.65594e7i | 0.536640 | + | 1.11434i | 0.976348 | + | 0.216204i | \(0.0693675\pi\) |
−0.439709 | + | 0.898141i | \(0.644918\pi\) | |||||||
\(348\) | −3.86964e7 | − | 4.85237e7i | −0.918190 | − | 1.15137i | ||||
\(349\) | −2.04138e7 | + | 4.65931e6i | −0.480228 | + | 0.109609i | −0.455780 | − | 0.890092i | \(-0.650640\pi\) |
−0.0244474 | + | 0.999701i | \(0.507783\pi\) | |||||||
\(350\) | −2.76662e7 | −0.645276 | ||||||||
\(351\) | − | 2.90832e7i | − | 0.672544i | ||||||
\(352\) | 2.74989e7 | − | 6.27644e6i | 0.630503 | − | 0.143908i | ||||
\(353\) | −4.15892e7 | + | 5.21512e7i | −0.945489 | + | 1.18561i | 0.0370059 | + | 0.999315i | \(0.488218\pi\) |
−0.982495 | + | 0.186290i | \(0.940353\pi\) | |||||||
\(354\) | −1.44899e6 | + | 6.34846e6i | −0.0326630 | + | 0.143106i | ||||
\(355\) | 21668.9 | − | 27172.0i | 0.000484342 | − | 0.000607346i | ||||
\(356\) | −8.11820e7 | + | 1.68576e8i | −1.79933 | + | 3.73634i | ||||
\(357\) | 306710. | + | 1.34379e6i | 0.00674099 | + | 0.0295342i | ||||
\(358\) | −1.09096e8 | − | 5.25379e7i | −2.37772 | − | 1.14505i | ||||
\(359\) | 2.47703e7 | + | 3.10610e7i | 0.535363 | + | 0.671324i | 0.973792 | − | 0.227442i | \(-0.0730363\pi\) |
−0.438429 | + | 0.898766i | \(0.644465\pi\) | |||||||
\(360\) | 272177. | − | 1.19248e6i | 0.00583369 | − | 0.0255591i | ||||
\(361\) | −9.37228e6 | + | 4.10626e7i | −0.199216 | + | 0.872821i | ||||
\(362\) | −7.51722e7 | − | 1.56097e8i | −1.58464 | − | 3.29055i | ||||
\(363\) | −1.35188e7 | + | 1.07809e7i | −0.282629 | + | 0.225389i | ||||
\(364\) | 3.32179e7 | + | 2.64904e7i | 0.688760 | + | 0.549267i | ||||
\(365\) | −496686. | + | 239192.i | −0.0102142 | + | 0.00491889i | ||||
\(366\) | 2.69346e7 | + | 5.59302e7i | 0.549373 | + | 1.14078i | ||||
\(367\) | −3.97723e7 | + | 4.98729e7i | −0.804605 | + | 1.00894i | 0.194999 | + | 0.980803i | \(0.437530\pi\) |
−0.999604 | + | 0.0281390i | \(0.991042\pi\) | |||||||
\(368\) | 1.58353e8 | + | 1.98569e8i | 3.17748 | + | 3.98444i | ||||
\(369\) | 4.57144e7 | − | 2.20149e7i | 0.909858 | − | 0.438164i | ||||
\(370\) | 911743. | + | 208099.i | 0.0179998 | + | 0.00410833i | ||||
\(371\) | 1.18503e7 | + | 2.70476e6i | 0.232064 | + | 0.0529672i | ||||
\(372\) | 3.18339e7 | − | 2.53867e7i | 0.618388 | − | 0.493148i | ||||
\(373\) | 4.78277e6 | − | 9.93152e6i | 0.0921622 | − | 0.191377i | −0.849792 | − | 0.527118i | \(-0.823273\pi\) |
0.941954 | + | 0.335741i | \(0.108987\pi\) | |||||||
\(374\) | 4.13789e6 | − | 944447.i | 0.0790978 | − | 0.0180536i | ||||
\(375\) | −326649. | − | 157306.i | −0.00619423 | − | 0.00298298i | ||||
\(376\) | −2.41304e8 | − | 1.92433e8i | −4.53942 | − | 3.62007i | ||||
\(377\) | −7.37638e7 | − | 1.68361e7i | −1.37664 | − | 0.314208i | ||||
\(378\) | 1.89022e7 | + | 1.50740e7i | 0.349976 | + | 0.279096i | ||||
\(379\) | 1.77148e7 | + | 7.76136e7i | 0.325401 | + | 1.42567i | 0.827793 | + | 0.561034i | \(0.189596\pi\) |
−0.502392 | + | 0.864640i | \(0.667546\pi\) | |||||||
\(380\) | 444366. | 0.00809823 | ||||||||
\(381\) | 1.96888e7i | 0.355996i | ||||||||
\(382\) | 1.10565e6 | + | 4.84416e6i | 0.0198348 | + | 0.0869017i | ||||
\(383\) | 2.45008e7 | − | 1.95387e7i | 0.436098 | − | 0.347777i | −0.380702 | − | 0.924698i | \(-0.624318\pi\) |
0.816800 | + | 0.576921i | \(0.195746\pi\) | |||||||
\(384\) | −5.86576e7 | + | 2.82480e7i | −1.03593 | + | 0.498878i | ||||
\(385\) | 27552.8 | + | 13268.7i | 0.000482818 | + | 0.000232513i | ||||
\(386\) | − | 1.26113e8i | − | 2.19279i | ||||||
\(387\) | 2.55776e7 | − | 4.28566e7i | 0.441293 | − | 0.739409i | ||||
\(388\) | 2.54288e7 | 0.435341 | ||||||||
\(389\) | −3.91537e6 | + | 8.13034e6i | −0.0665156 | + | 0.138121i | −0.931576 | − | 0.363547i | \(-0.881566\pi\) |
0.865060 | + | 0.501668i | \(0.167280\pi\) | |||||||
\(390\) | 165302. | + | 343253.i | 0.00278666 | + | 0.00578656i | ||||
\(391\) | 1.26376e7 | + | 1.58470e7i | 0.211414 | + | 0.265105i | ||||
\(392\) | 1.72109e8 | − | 3.92827e7i | 2.85723 | − | 0.652144i | ||||
\(393\) | 1.51776e7 | 0.250050 | ||||||||
\(394\) | − | 1.89806e8i | − | 3.10328i | ||||||
\(395\) | −254749. | + | 58144.8i | −0.00413353 | + | 0.000943452i | ||||
\(396\) | 1.56923e7 | − | 1.96775e7i | 0.252697 | − | 0.316872i | ||||
\(397\) | −1.37131e7 | + | 6.00809e7i | −0.219161 | + | 0.960207i | 0.738939 | + | 0.673773i | \(0.235327\pi\) |
−0.958100 | + | 0.286435i | \(0.907530\pi\) | |||||||
\(398\) | −7.54959e7 | + | 9.46689e7i | −1.19750 | + | 1.50161i | ||||
\(399\) | −1.11334e6 | + | 2.31187e6i | −0.0175270 | + | 0.0363952i | ||||
\(400\) | −5.19425e7 | − | 2.27575e8i | −0.811602 | − | 3.55586i | ||||
\(401\) | −1.24317e7 | − | 5.98679e6i | −0.192796 | − | 0.0928455i | 0.334995 | − | 0.942220i | \(-0.391265\pi\) |
−0.527791 | + | 0.849374i | \(0.676980\pi\) | |||||||
\(402\) | −1.54696e7 | − | 1.93983e7i | −0.238123 | − | 0.298597i | ||||
\(403\) | 1.10453e7 | − | 4.83926e7i | 0.168757 | − | 0.739374i | ||||
\(404\) | 4.75425e7 | − | 2.08297e8i | 0.721004 | − | 3.15893i | ||||
\(405\) | −160185. | − | 332627.i | −0.00241133 | − | 0.00500717i | ||||
\(406\) | 4.91747e7 | − | 3.92155e7i | 0.734791 | − | 0.585976i | ||||
\(407\) | 9.49952e6 | + | 7.57561e6i | 0.140902 | + | 0.112366i | ||||
\(408\) | −1.82711e7 | + | 8.79888e6i | −0.269019 | + | 0.129553i | ||||
\(409\) | −1.55172e7 | − | 3.22218e7i | −0.226800 | − | 0.470956i | 0.756252 | − | 0.654280i | \(-0.227028\pi\) |
−0.983052 | + | 0.183325i | \(0.941314\pi\) | |||||||
\(410\) | −895684. | + | 1.12315e6i | −0.0129958 | + | 0.0162962i | ||||
\(411\) | 1.44207e7 | + | 1.80830e7i | 0.207711 | + | 0.260462i | ||||
\(412\) | 553991. | − | 266788.i | 0.00792156 | − | 0.00381482i | ||||
\(413\) | −4.70093e6 | − | 1.07296e6i | −0.0667319 | − | 0.0152311i | ||||
\(414\) | 1.60372e8 | + | 3.66040e7i | 2.26011 | + | 0.515854i | ||||
\(415\) | −649408. | + | 517886.i | −0.00908602 | + | 0.00724586i | ||||
\(416\) | −1.12896e8 | + | 2.34432e8i | −1.56820 | + | 3.25639i | ||||
\(417\) | 8.14608e6 | − | 1.85929e6i | 0.112342 | − | 0.0256412i | ||||
\(418\) | 7.11889e6 | + | 3.42828e6i | 0.0974728 | + | 0.0469404i | ||||
\(419\) | 9.60288e7 | + | 7.65804e7i | 1.30545 | + | 1.04106i | 0.995927 | + | 0.0901675i | \(0.0287402\pi\) |
0.309521 | + | 0.950893i | \(0.399831\pi\) | |||||||
\(420\) | −225612. | − | 51494.5i | −0.00304519 | − | 0.000695045i | ||||
\(421\) | 3.39158e7 | + | 2.70470e7i | 0.454523 | + | 0.362470i | 0.823830 | − | 0.566837i | \(-0.191833\pi\) |
−0.369306 | + | 0.929308i | \(0.620405\pi\) | |||||||
\(422\) | −1.37046e7 | − | 6.00436e7i | −0.182359 | − | 0.798969i | ||||
\(423\) | −1.14635e8 | −1.51459 | ||||||||
\(424\) | 1.78836e8i | 2.34615i | ||||||||
\(425\) | −4.14534e6 | − | 1.81619e7i | −0.0540000 | − | 0.236589i | ||||
\(426\) | −3.65609e6 | + | 2.91563e6i | −0.0472920 | + | 0.0377142i | ||||
\(427\) | −4.14154e7 | + | 1.99446e7i | −0.531959 | + | 0.256178i | ||||
\(428\) | −2.82646e8 | − | 1.36115e8i | −3.60505 | − | 1.73610i | ||||
\(429\) | 4.94986e6i | 0.0626933i | ||||||||
\(430\) | −125987. | + | 1.40743e6i | −0.00158460 | + | 0.0177020i | ||||
\(431\) | 2.44738e7 | 0.305682 | 0.152841 | − | 0.988251i | \(-0.451158\pi\) | ||||
0.152841 | + | 0.988251i | \(0.451158\pi\) | |||||||
\(432\) | −8.85067e7 | + | 1.83786e8i | −1.09780 | + | 2.27961i | ||||
\(433\) | −2.70297e7 | − | 5.61278e7i | −0.332949 | − | 0.691376i | 0.665538 | − | 0.746364i | \(-0.268202\pi\) |
−0.998487 | + | 0.0549881i | \(0.982488\pi\) | |||||||
\(434\) | 2.57273e7 | + | 3.22610e7i | 0.314720 | + | 0.394647i | ||||
\(435\) | 401767. | − | 91700.7i | 0.00488098 | − | 0.00111405i | ||||
\(436\) | −1.57355e8 | −1.89855 | ||||||||
\(437\) | 3.77338e7i | 0.452154i | ||||||||
\(438\) | 7.23170e7 | − | 1.65059e7i | 0.860634 | − | 0.196434i | ||||
\(439\) | 9.68237e7 | − | 1.21413e8i | 1.14443 | − | 1.43507i | 0.261718 | − | 0.965144i | \(-0.415711\pi\) |
0.882708 | − | 0.469921i | \(-0.155718\pi\) | |||||||
\(440\) | −100120. | + | 438656.i | −0.00117534 | + | 0.00514951i | ||||
\(441\) | 4.08814e7 | − | 5.12637e7i | 0.476662 | − | 0.597715i | ||||
\(442\) | −1.69881e7 | + | 3.52761e7i | −0.196733 | + | 0.408521i | ||||
\(443\) | 4.17760e6 | + | 1.83033e7i | 0.0480525 | + | 0.210532i | 0.993255 | − | 0.115954i | \(-0.0369926\pi\) |
−0.945202 | + | 0.326486i | \(0.894135\pi\) | |||||||
\(444\) | −8.28386e7 | − | 3.98930e7i | −0.946419 | − | 0.455772i | ||||
\(445\) | −774599. | − | 971317.i | −0.00879017 | − | 0.0110225i | ||||
\(446\) | −5.19596e6 | + | 2.27650e7i | −0.0585681 | + | 0.256604i | ||||
\(447\) | −8.60237e6 | + | 3.76894e7i | −0.0963153 | + | 0.421985i | ||||
\(448\) | −4.61931e7 | − | 9.59209e7i | −0.513740 | − | 1.06679i | ||||
\(449\) | 6.54068e7 | − | 5.21602e7i | 0.722577 | − | 0.576236i | −0.191638 | − | 0.981466i | \(-0.561380\pi\) |
0.914215 | + | 0.405230i | \(0.132809\pi\) | |||||||
\(450\) | −1.18202e8 | − | 9.42630e7i | −1.29714 | − | 1.03444i | ||||
\(451\) | −1.68161e7 | + | 8.09818e6i | −0.183313 | + | 0.0882791i | ||||
\(452\) | 1.50646e8 | + | 3.12819e8i | 1.63133 | + | 3.38749i | ||||
\(453\) | 1.31753e7 | − | 1.65212e7i | 0.141731 | − | 0.177725i | ||||
\(454\) | 9.45447e7 | + | 1.18555e8i | 1.01035 | + | 1.26693i | ||||
\(455\) | −254173. | + | 122403.i | −0.00269833 | + | 0.00129945i | ||||
\(456\) | −3.68063e7 | − | 8.40080e6i | −0.388175 | − | 0.0885984i | ||||
\(457\) | −829990. | − | 189440.i | −0.00869610 | − | 0.00198483i | 0.218171 | − | 0.975911i | \(-0.429991\pi\) |
−0.226867 | + | 0.973926i | \(0.572848\pi\) | |||||||
\(458\) | −6.54648e7 | + | 5.22064e7i | −0.681414 | + | 0.543410i | ||||
\(459\) | −7.06339e6 | + | 1.46673e7i | −0.0730425 | + | 0.151674i | ||||
\(460\) | −3.31772e6 | + | 757248.i | −0.0340852 | + | 0.00777973i | ||||
\(461\) | 6.66907e7 | + | 3.21166e7i | 0.680711 | + | 0.327813i | 0.742089 | − | 0.670301i | \(-0.233835\pi\) |
−0.0613779 | + | 0.998115i | \(0.519549\pi\) | |||||||
\(462\) | −3.21710e6 | − | 2.56555e6i | −0.0326241 | − | 0.0260168i | ||||
\(463\) | 1.79636e8 | + | 4.10008e7i | 1.80988 | + | 0.413094i | 0.987730 | − | 0.156171i | \(-0.0499152\pi\) |
0.822154 | + | 0.569265i | \(0.192772\pi\) | |||||||
\(464\) | 4.14901e8 | + | 3.30872e8i | 4.15327 | + | 3.31212i | ||||
\(465\) | 60160.1 | + | 263579.i | 0.000598342 | + | 0.00262151i | ||||
\(466\) | −6.57224e6 | −0.0649465 | ||||||||
\(467\) | − | 7.31844e7i | − | 0.718568i | −0.933228 | − | 0.359284i | \(-0.883021\pi\) | ||
0.933228 | − | 0.359284i | \(-0.116979\pi\) | |||||||
\(468\) | 5.16644e7 | + | 2.26357e8i | 0.504027 | + | 2.20829i | ||||
\(469\) | 1.43641e7 | − | 1.14550e7i | 0.139239 | − | 0.111039i | ||||
\(470\) | 2.92421e6 | − | 1.40823e6i | 0.0281654 | − | 0.0135637i | ||||
\(471\) | −6.34333e7 | − | 3.05479e7i | −0.607092 | − | 0.292360i | ||||
\(472\) | − | 7.09426e7i | − | 0.674654i | ||||||
\(473\) | −9.40873e6 | + | 1.57648e7i | −0.0889094 | + | 0.148972i | ||||
\(474\) | 3.51590e7 | 0.330142 | ||||||||
\(475\) | 1.50473e7 | − | 3.12461e7i | 0.140404 | − | 0.291551i | ||||
\(476\) | −1.03188e7 | − | 2.14272e7i | −0.0956773 | − | 0.198676i | ||||
\(477\) | 4.14142e7 | + | 5.19317e7i | 0.381587 | + | 0.478495i | ||||
\(478\) | 2.96235e8 | − | 6.76136e7i | 2.71239 | − | 0.619085i | ||||
\(479\) | −8.57154e7 | −0.779924 | −0.389962 | − | 0.920831i | \(-0.627512\pi\) | ||||
−0.389962 | + | 0.920831i | \(0.627512\pi\) | |||||||
\(480\) | − | 1.41722e6i | − | 0.0128149i | ||||||
\(481\) | −1.09276e8 | + | 2.49416e7i | −0.981952 | + | 0.224124i | ||||
\(482\) | 1.08876e8 | − | 1.36527e8i | 0.972284 | − | 1.21921i | ||||
\(483\) | 4.37271e6 | − | 1.91581e7i | 0.0388069 | − | 0.170024i | ||||
\(484\) | 1.86017e8 | − | 2.33258e8i | 1.64065 | − | 2.05731i | ||||
\(485\) | −73258.8 | + | 152123.i | −0.000642147 | + | 0.00133343i | ||||
\(486\) | 4.51958e7 | + | 1.98016e8i | 0.393721 | + | 1.72501i | ||||
\(487\) | −1.03846e8 | − | 5.00094e7i | −0.899086 | − | 0.432977i | −0.0735275 | − | 0.997293i | \(-0.523426\pi\) |
−0.825559 | + | 0.564316i | \(0.809140\pi\) | |||||||
\(488\) | −4.21675e8 | − | 5.28764e8i | −3.62843 | − | 4.54990i | ||||
\(489\) | 894747. | − | 3.92014e6i | 0.00765198 | − | 0.0335255i | ||||
\(490\) | −413095. | + | 1.80989e6i | −0.00351125 | + | 0.0153838i | ||||
\(491\) | −4.62842e7 | − | 9.61102e7i | −0.391010 | − | 0.811942i | −0.999826 | − | 0.0186301i | \(-0.994069\pi\) |
0.608816 | − | 0.793311i | \(-0.291645\pi\) | |||||||
\(492\) | 1.10424e8 | − | 8.80598e7i | 0.927185 | − | 0.739405i | ||||
\(493\) | 3.31117e7 | + | 2.64057e7i | 0.276338 | + | 0.220372i | ||||
\(494\) | −6.56715e7 | + | 3.16257e7i | −0.544748 | + | 0.262337i | ||||
\(495\) | 72508.8 | + | 150566.i | 0.000597826 | + | 0.00124140i | ||||
\(496\) | −2.17068e8 | + | 2.72195e8i | −1.77890 | + | 2.23067i | ||||
\(497\) | −2.15898e6 | − | 2.70727e6i | −0.0175865 | − | 0.0220528i | ||||
\(498\) | 1.00696e8 | − | 4.84924e7i | 0.815309 | − | 0.392632i | ||||
\(499\) | −2.21595e8 | − | 5.05777e7i | −1.78344 | − | 0.407059i | −0.801769 | − | 0.597634i | \(-0.796107\pi\) |
−0.981673 | + | 0.190576i | \(0.938965\pi\) | |||||||
\(500\) | 6.09878e6 | + | 1.39201e6i | 0.0487902 | + | 0.0111360i | ||||
\(501\) | 2.14842e7 | − | 1.71331e7i | 0.170847 | − | 0.136246i | ||||
\(502\) | −2.03496e8 | + | 4.22563e8i | −1.60859 | + | 3.34026i | ||||
\(503\) | 1.00241e8 | − | 2.28794e7i | 0.787667 | − | 0.179780i | 0.190277 | − | 0.981730i | \(-0.439061\pi\) |
0.597390 | + | 0.801951i | \(0.296204\pi\) | |||||||
\(504\) | −1.09800e8 | − | 5.28767e7i | −0.857649 | − | 0.413022i | ||||
\(505\) | 1.10914e6 | + | 884507.i | 0.00861214 | + | 0.00686795i | ||||
\(506\) | −5.89931e7 | − | 1.34648e7i | −0.455354 | − | 0.103932i | ||||
\(507\) | 2.27614e6 | + | 1.81516e6i | 0.0174652 | + | 0.0139281i | ||||
\(508\) | −7.55944e7 | − | 3.31201e8i | −0.576632 | − | 2.52639i | ||||
\(509\) | 1.33991e8 | 1.01607 | 0.508033 | − | 0.861337i | \(-0.330373\pi\) | ||||
0.508033 | + | 0.861337i | \(0.330373\pi\) | |||||||
\(510\) | − | 213256.i | − | 0.00160765i | ||||||
\(511\) | 1.22223e7 | + | 5.35496e7i | 0.0915992 | + | 0.401322i | ||||
\(512\) | 1.63373e8 | − | 1.30286e8i | 1.21722 | − | 0.970704i | ||||
\(513\) | −2.73052e7 | + | 1.31495e7i | −0.202252 | + | 0.0973996i | ||||
\(514\) | −9.50786e7 | − | 4.57874e7i | −0.700154 | − | 0.337176i | ||||
\(515\) | 4082.76i | 2.98904e-5i | ||||||||
\(516\) | 4.28668e7 | − | 1.32147e8i | 0.312013 | − | 0.961854i | ||||
\(517\) | 4.21685e7 | 0.305152 | ||||||||
\(518\) | 4.04282e7 | − | 8.39500e7i | 0.290867 | − | 0.603992i | ||||
\(519\) | 1.91345e7 | + | 3.97333e7i | 0.136872 | + | 0.284219i | ||||
\(520\) | −2.58789e6 | − | 3.24511e6i | −0.0184050 | − | 0.0230791i | ||||
\(521\) | 1.47771e8 | − | 3.37279e7i | 1.04491 | − | 0.238493i | 0.334581 | − | 0.942367i | \(-0.391405\pi\) |
0.710325 | + | 0.703874i | \(0.248548\pi\) | |||||||
\(522\) | 3.43709e8 | 2.41646 | ||||||||
\(523\) | 1.02568e8i | 0.716980i | 0.933534 | + | 0.358490i | \(0.116708\pi\) | ||||
−0.933534 | + | 0.358490i | \(0.883292\pi\) | |||||||
\(524\) | −2.55314e8 | + | 5.82738e7i | −1.77452 | + | 0.405023i | ||||
\(525\) | −1.12607e7 | + | 1.41204e7i | −0.0778190 | + | 0.0975819i | ||||
\(526\) | −1.03753e8 | + | 4.54570e8i | −0.712922 | + | 3.12352i | ||||
\(527\) | −1.73234e7 | + | 2.17229e7i | −0.118359 | + | 0.148418i | ||||
\(528\) | 1.50635e7 | − | 3.12797e7i | 0.102335 | − | 0.212501i | ||||
\(529\) | −3.13614e7 | − | 1.37403e8i | −0.211850 | − | 0.928175i | ||||
\(530\) | −1.69439e6 | − | 815973.i | −0.0113811 | − | 0.00548085i | ||||
\(531\) | −1.64287e7 | − | 2.06009e7i | −0.109728 | − | 0.137595i | ||||
\(532\) | 9.85197e6 | − | 4.31643e7i | 0.0654317 | − | 0.286675i | ||||
\(533\) | 3.83133e7 | − | 1.67862e8i | 0.253028 | − | 1.10859i | ||||
\(534\) | 7.25299e7 | + | 1.50610e8i | 0.476314 | + | 0.989076i | ||||
\(535\) | 1.62857e6 | − | 1.29874e6i | 0.0106352 | − | 0.00848130i | ||||
\(536\) | 2.11337e8 | + | 1.68535e8i | 1.37240 | + | 1.09445i | ||||
\(537\) | −7.12186e7 | + | 3.42971e7i | −0.459908 | + | 0.221480i | ||||
\(538\) | −2.96515e7 | − | 6.15719e7i | −0.190414 | − | 0.395399i | ||||
\(539\) | −1.50382e7 | + | 1.88574e7i | −0.0960353 | + | 0.120424i | ||||
\(540\) | −1.70412e6 | − | 2.13691e6i | −0.0108223 | − | 0.0135708i | ||||
\(541\) | −1.13048e6 | + | 544410.i | −0.00713955 | + | 0.00343823i | −0.437450 | − | 0.899243i | \(-0.644118\pi\) |
0.430311 | + | 0.902681i | \(0.358404\pi\) | |||||||
\(542\) | −2.31336e8 | − | 5.28008e7i | −1.45293 | − | 0.331622i | ||||
\(543\) | −1.10266e8 | − | 2.51674e7i | −0.688717 | − | 0.157195i | ||||
\(544\) | 1.13872e8 | − | 9.08101e7i | 0.707328 | − | 0.564076i | ||||
\(545\) | 453331. | − | 941352.i | 0.00280044 | − | 0.00581517i | ||||
\(546\) | 3.70074e7 | − | 8.44669e6i | 0.227358 | − | 0.0518930i | ||||
\(547\) | −5.58408e7 | − | 2.68915e7i | −0.341185 | − | 0.164306i | 0.255443 | − | 0.966824i | \(-0.417779\pi\) |
−0.596628 | + | 0.802518i | \(0.703493\pi\) | |||||||
\(548\) | −3.12010e8 | − | 2.48819e8i | −1.89595 | − | 1.51197i | ||||
\(549\) | −2.44899e8 | − | 5.58966e7i | −1.48003 | − | 0.337807i | ||||
\(550\) | 4.34807e7 | + | 3.46747e7i | 0.261341 | + | 0.208413i | ||||
\(551\) | 1.75443e7 | + | 7.68665e7i | 0.104877 | + | 0.459496i | ||||
\(552\) | 2.89118e8 | 1.71893 | ||||||||
\(553\) | 2.60346e7i | 0.153949i | ||||||||
\(554\) | −2.95847e7 | − | 1.29619e8i | −0.173995 | − | 0.762323i | ||||
\(555\) | 477306. | − | 380639.i | 0.00279202 | − | 0.00222656i | ||||
\(556\) | −1.29893e8 | + | 6.25530e7i | −0.755719 | + | 0.363935i | ||||
\(557\) | 1.23337e8 | + | 5.93960e7i | 0.713720 | + | 0.343710i | 0.755258 | − | 0.655427i | \(-0.227511\pi\) |
−0.0415379 | + | 0.999137i | \(0.513226\pi\) | |||||||
\(558\) | 2.25490e8i | 1.29785i | ||||||||
\(559\) | −5.95858e7 | − | 1.58533e8i | −0.341120 | − | 0.907580i | ||||
\(560\) | 1.97870e6 | 0.0112672 | ||||||||
\(561\) | 1.20217e6 | − | 2.49632e6i | 0.00680888 | − | 0.0141388i | ||||
\(562\) | 3.64827e7 | + | 7.57572e7i | 0.205531 | + | 0.426791i | ||||
\(563\) | 4.69001e7 | + | 5.88108e7i | 0.262814 | + | 0.329558i | 0.895677 | − | 0.444706i | \(-0.146692\pi\) |
−0.632863 | + | 0.774264i | \(0.718120\pi\) | |||||||
\(564\) | −3.11096e8 | + | 7.10056e7i | −1.73403 | + | 0.395782i | ||||
\(565\) | −2.30539e6 | −0.0127820 | ||||||||
\(566\) | 4.01144e8i | 2.21234i | ||||||||
\(567\) | −3.58617e7 | + | 8.18521e6i | −0.196735 | + | 0.0449035i | ||||
\(568\) | 3.17647e7 | − | 3.98317e7i | 0.173340 | − | 0.217362i | ||||
\(569\) | 2.22747e6 | − | 9.75918e6i | 0.0120914 | − | 0.0529757i | −0.968522 | − | 0.248927i | \(-0.919922\pi\) |
0.980614 | + | 0.195951i | \(0.0627793\pi\) | |||||||
\(570\) | 247530. | − | 310392.i | 0.00133660 | − | 0.00167605i | ||||
\(571\) | 2.60687e7 | − | 5.41323e7i | 0.140027 | − | 0.290769i | −0.819148 | − | 0.573582i | \(-0.805553\pi\) |
0.959175 | + | 0.282813i | \(0.0912676\pi\) | |||||||
\(572\) | −1.90048e7 | − | 8.32654e7i | −0.101549 | − | 0.444914i | ||||
\(573\) | 2.92240e6 | + | 1.40735e6i | 0.0155337 | + | 0.00748066i | ||||
\(574\) | 8.92413e7 | + | 1.11905e8i | 0.471879 | + | 0.591717i | ||||
\(575\) | −5.90993e7 | + | 2.58931e8i | −0.310870 | + | 1.36201i | ||||
\(576\) | 1.29460e8 | − | 5.67202e8i | 0.677437 | − | 2.96805i | ||||
\(577\) | 8.27096e7 | + | 1.71748e8i | 0.430555 | + | 0.894056i | 0.997525 | + | 0.0703177i | \(0.0224013\pi\) |
−0.566970 | + | 0.823739i | \(0.691884\pi\) | |||||||
\(578\) | −2.73778e8 | + | 2.18330e8i | −1.41780 | + | 1.13066i | ||||
\(579\) | −6.43659e7 | − | 5.13301e7i | −0.331604 | − | 0.264446i | ||||
\(580\) | −6.40635e6 | + | 3.08513e6i | −0.0328342 | + | 0.0158121i | ||||
\(581\) | 3.59078e7 | + | 7.45634e7i | 0.183088 | + | 0.380187i | ||||
\(582\) | 1.41648e7 | − | 1.77621e7i | 0.0718526 | − | 0.0901003i | ||||
\(583\) | −1.52342e7 | − | 1.91031e7i | −0.0768803 | − | 0.0964048i | ||||
\(584\) | −7.28097e8 | + | 3.50633e8i | −3.65553 | + | 1.76041i | ||||
\(585\) | −1.50298e6 | − | 343046.i | −0.00750735 | − | 0.00171350i | ||||
\(586\) | 2.31813e8 | + | 5.29099e7i | 1.15198 | + | 0.262932i | ||||
\(587\) | −8.83194e7 | + | 7.04324e7i | −0.436658 | + | 0.348223i | −0.817015 | − | 0.576616i | \(-0.804373\pi\) |
0.380357 | + | 0.924840i | \(0.375801\pi\) | |||||||
\(588\) | 7.91909e7 | − | 1.64442e8i | 0.389532 | − | 0.808872i | ||||
\(589\) | −5.04281e7 | + | 1.15099e7i | −0.246790 | + | 0.0563281i | ||||
\(590\) | 672149. | + | 323690.i | 0.00327272 | + | 0.00157606i | ||||
\(591\) | −9.68741e7 | − | 7.72545e7i | −0.469294 | − | 0.374250i | ||||
\(592\) | 7.66453e8 | + | 1.74938e8i | 3.69420 | + | 0.843177i | ||||
\(593\) | −2.25368e8 | − | 1.79725e8i | −1.08076 | − | 0.861876i | −0.0897882 | − | 0.995961i | \(-0.528619\pi\) |
−0.990970 | + | 0.134085i | \(0.957190\pi\) | |||||||
\(594\) | −1.08145e7 | − | 4.73812e7i | −0.0515995 | − | 0.226072i | ||||
\(595\) | 157913. | 0.000749664 | ||||||||
\(596\) | − | 6.67031e8i | − | 3.15070i | ||||||
\(597\) | 1.75893e7 | + | 7.70639e7i | 0.0826659 | + | 0.362183i | ||||
\(598\) | 4.36421e8 | − | 3.48035e8i | 2.04081 | − | 1.62749i | ||||
\(599\) | 2.97054e8 | − | 1.43054e8i | 1.38215 | − | 0.665608i | 0.412692 | − | 0.910871i | \(-0.364589\pi\) |
0.969457 | + | 0.245263i | \(0.0788743\pi\) | |||||||
\(600\) | −2.39409e8 | − | 1.15293e8i | −1.10837 | − | 0.533765i | ||||
\(601\) | − | 2.36278e8i | − | 1.08843i | −0.838946 | − | 0.544214i | \(-0.816828\pi\) | ||
0.838946 | − | 0.544214i | \(-0.183172\pi\) | |||||||
\(602\) | 1.33920e8 | + | 4.34420e7i | 0.613843 | + | 0.199122i | ||||
\(603\) | 1.00399e8 | 0.457905 | ||||||||
\(604\) | −1.58198e8 | + | 3.28502e8i | −0.717945 | + | 1.49083i | ||||
\(605\) | 859523. | + | 1.78482e6i | 0.00388143 | + | 0.00805986i | ||||
\(606\) | −1.19014e8 | − | 1.49239e8i | −0.534785 | − | 0.670599i | ||||
\(607\) | −2.32483e8 | + | 5.30627e7i | −1.03950 | + | 0.237259i | −0.708012 | − | 0.706200i | \(-0.750408\pi\) |
−0.331488 | + | 0.943459i | \(0.607551\pi\) | |||||||
\(608\) | 2.71144e8 | 1.20640 | ||||||||
\(609\) | − | 4.10595e7i | − | 0.181786i | ||||||
\(610\) | 6.93377e6 | − | 1.58259e6i | 0.0305478 | − | 0.00697234i | ||||
\(611\) | −2.42539e8 | + | 3.04134e8i | −1.06331 | + | 1.33334i | ||||
\(612\) | 2.89194e7 | − | 1.26704e8i | 0.126164 | − | 0.552760i | ||||
\(613\) | 1.09104e8 | − | 1.36812e8i | 0.473653 | − | 0.593942i | −0.486408 | − | 0.873732i | \(-0.661693\pi\) |
0.960061 | + | 0.279790i | \(0.0902647\pi\) | |||||||
\(614\) | 1.67542e8 | − | 3.47905e8i | 0.723800 | − | 1.50299i | ||||
\(615\) | 208680. | + | 914286.i | 0.000897130 | + | 0.00393058i | ||||
\(616\) | 4.03899e7 | + | 1.94507e7i | 0.172795 | + | 0.0832135i | ||||
\(617\) | 4.96337e6 | + | 6.22386e6i | 0.0211310 | + | 0.0264975i | 0.792285 | − | 0.610152i | \(-0.208891\pi\) |
−0.771154 | + | 0.636649i | \(0.780320\pi\) | |||||||
\(618\) | 122242. | − | 535577.i | 0.000517911 | − | 0.00226912i | ||||
\(619\) | −5.78770e7 | + | 2.53576e8i | −0.244025 | + | 1.06914i | 0.693290 | + | 0.720659i | \(0.256161\pi\) |
−0.937315 | + | 0.348484i | \(0.886697\pi\) | |||||||
\(620\) | −2.02400e6 | − | 4.20287e6i | −0.00849248 | − | 0.0176348i | ||||
\(621\) | 1.81458e8 | − | 1.44708e8i | 0.757705 | − | 0.604250i | ||||
\(622\) | 4.99077e8 | + | 3.98001e8i | 2.07394 | + | 1.65391i | ||||
\(623\) | −1.11524e8 | + | 5.37072e7i | −0.461216 | + | 0.222110i | ||||
\(624\) | 1.38960e8 | + | 2.88554e8i | 0.571923 | + | 1.18761i | ||||
\(625\) | 1.52180e8 | − | 1.90828e8i | 0.623331 | − | 0.781632i | ||||
\(626\) | −2.52459e8 | − | 3.16574e8i | −1.02913 | − | 1.29048i | ||||
\(627\) | 4.64726e6 | − | 2.23800e6i | 0.0188536 | − | 0.00907941i | ||||
\(628\) | 1.18435e9 | + | 2.70319e8i | 4.78189 | + | 1.09144i | ||||
\(629\) | 6.11679e7 | + | 1.39612e7i | 0.245794 | + | 0.0561009i | ||||
\(630\) | 1.00197e6 | − | 799041.i | 0.00400711 | − | 0.00319556i | ||||
\(631\) | 1.18234e8 | − | 2.45516e8i | 0.470603 | − | 0.977218i | −0.521670 | − | 0.853147i | \(-0.674691\pi\) |
0.992273 | − | 0.124070i | \(-0.0395949\pi\) | |||||||
\(632\) | −3.73439e8 | + | 8.52351e7i | −1.47934 | + | 0.337650i | ||||
\(633\) | −3.62233e7 | − | 1.74442e7i | −0.142816 | − | 0.0687767i | ||||
\(634\) | 7.48238e7 | + | 5.96700e7i | 0.293611 | + | 0.234147i | ||||
\(635\) | 2.19914e6 | + | 501939.i | 0.00858878 | + | 0.00196033i | ||||
\(636\) | 1.44557e8 | + | 1.15280e8i | 0.561911 | + | 0.448109i | ||||
\(637\) | −4.95112e7 | − | 2.16923e8i | −0.191551 | − | 0.839241i | ||||
\(638\) | −1.26434e8 | −0.486856 | ||||||||
\(639\) | − | 1.89226e7i | − | 0.0725235i | ||||||
\(640\) | 1.65976e6 | + | 7.27188e6i | 0.00633148 | + | 0.0277400i | ||||
\(641\) | −1.76524e8 | + | 1.40773e8i | −0.670240 | + | 0.534498i | −0.898429 | − | 0.439118i | \(-0.855291\pi\) |
0.228189 | + | 0.973617i | \(0.426719\pi\) | |||||||
\(642\) | −2.52522e8 | + | 1.21608e8i | −0.954322 | + | 0.459577i | ||||
\(643\) | 2.04712e8 | + | 9.85839e7i | 0.770033 | + | 0.370828i | 0.777288 | − | 0.629145i | \(-0.216595\pi\) |
−0.00725462 | + | 0.999974i | \(0.502309\pi\) | |||||||
\(644\) | 3.39061e8i | 1.26946i | ||||||||
\(645\) | 667053. | + | 637153.i | 0.00248589 | + | 0.00237446i | ||||
\(646\) | 4.08004e7 | 0.151345 | ||||||||
\(647\) | −8.74152e7 | + | 1.81520e8i | −0.322756 | + | 0.670210i | −0.997709 | − | 0.0676510i | \(-0.978450\pi\) |
0.674953 | + | 0.737861i | \(0.264164\pi\) | |||||||
\(648\) | −2.34816e8 | − | 4.87601e8i | −0.862985 | − | 1.79201i | ||||
\(649\) | 6.04329e6 | + | 7.57805e6i | 0.0221075 | + | 0.0277219i | ||||
\(650\) | −5.00173e8 | + | 1.14161e8i | −1.82129 | + | 0.415699i | ||||
\(651\) | 2.69370e7 | 0.0976351 | ||||||||
\(652\) | 6.93790e7i | 0.250314i | ||||||||
\(653\) | 3.13024e8 | − | 7.14456e7i | 1.12418 | − | 0.256588i | 0.380278 | − | 0.924872i | \(-0.375828\pi\) |
0.743906 | + | 0.668284i | \(0.232971\pi\) | |||||||
\(654\) | −8.76531e7 | + | 1.09914e8i | −0.313353 | + | 0.392933i | ||||
\(655\) | 386932. | − | 1.69526e6i | 0.00137693 | − | 0.00603271i | ||||
\(656\) | −7.52954e8 | + | 9.44174e8i | −2.66721 | + | 3.34457i | ||||
\(657\) | −1.30232e8 | + | 2.70430e8i | −0.459222 | + | 0.953584i | ||||
\(658\) | −7.19583e7 | − | 3.15270e8i | −0.252583 | − | 1.10664i | ||||
\(659\) | 3.14354e8 | + | 1.51385e8i | 1.09841 | + | 0.528964i | 0.893157 | − | 0.449746i | \(-0.148485\pi\) |
0.205249 | + | 0.978710i | \(0.434200\pi\) | |||||||
\(660\) | 290036. | + | 363694.i | 0.00100884 | + | 0.00126504i | ||||
\(661\) | 6.04597e7 | − | 2.64891e8i | 0.209345 | − | 0.917199i | −0.755660 | − | 0.654965i | \(-0.772684\pi\) |
0.965004 | − | 0.262234i | \(-0.0844593\pi\) | |||||||
\(662\) | 5.91081e7 | − | 2.58970e8i | 0.203739 | − | 0.892637i | ||||
\(663\) | 1.10899e7 | + | 2.30285e7i | 0.0380529 | + | 0.0790177i | ||||
\(664\) | −9.51974e8 | + | 7.59174e8i | −3.25178 | + | 2.59321i | ||||
\(665\) | 229841. | + | 183292.i | 0.000781559 | + | 0.000623272i | ||||
\(666\) | 4.58757e8 | − | 2.20926e8i | 1.55296 | − | 0.747866i | ||||
\(667\) | −2.61977e8 | − | 5.44002e8i | −0.882849 | − | 1.83325i | ||||
\(668\) | −2.95621e8 | + | 3.70697e8i | −0.991758 | + | 1.24363i | ||||
\(669\) | 9.50405e6 | + | 1.19177e7i | 0.0317417 | + | 0.0398029i | ||||
\(670\) | −2.56106e6 | + | 1.23334e6i | −0.00851521 | + | 0.00410071i | ||||
\(671\) | 9.00862e7 | + | 2.05616e7i | 0.298188 | + | 0.0680595i | ||||
\(672\) | −1.37664e8 | − | 3.14210e7i | −0.453642 | − | 0.103541i | ||||
\(673\) | −4.14595e7 | + | 3.30628e7i | −0.136012 | + | 0.108466i | −0.689133 | − | 0.724635i | \(-0.742008\pi\) |
0.553120 | + | 0.833101i | \(0.313437\pi\) | |||||||
\(674\) | 2.37463e8 | − | 4.93098e8i | 0.775563 | − | 1.61047i | ||||
\(675\) | −2.07964e8 | + | 4.74665e7i | −0.676204 | + | 0.154339i | ||||
\(676\) | −4.52578e7 | − | 2.17950e7i | −0.146505 | − | 0.0705533i | ||||
\(677\) | 2.34682e8 | + | 1.87153e8i | 0.756335 | + | 0.603157i | 0.923869 | − | 0.382710i | \(-0.125009\pi\) |
−0.167534 | + | 0.985866i | \(0.553580\pi\) | |||||||
\(678\) | 3.02421e8 | + | 6.90257e7i | 0.970339 | + | 0.221473i | ||||
\(679\) | 1.31526e7 | + | 1.04888e7i | 0.0420147 | + | 0.0335056i | ||||
\(680\) | 516993. | + | 2.26509e6i | 0.00164421 | + | 0.00720377i | ||||
\(681\) | 9.89902e7 | 0.313437 | ||||||||
\(682\) | − | 8.29465e7i | − | 0.261484i | ||||||
\(683\) | −1.08659e7 | − | 4.76065e7i | −0.0341038 | − | 0.149419i | 0.955009 | − | 0.296576i | \(-0.0958448\pi\) |
−0.989113 | + | 0.147157i | \(0.952988\pi\) | |||||||
\(684\) | 1.89159e8 | − | 1.50849e8i | 0.591097 | − | 0.471384i | ||||
\(685\) | 2.38740e6 | − | 1.14971e6i | 0.00742770 | − | 0.00357699i | ||||
\(686\) | 3.54348e8 | + | 1.70645e8i | 1.09763 | + | 0.528593i | ||||
\(687\) | 5.46612e7i | 0.168581i | ||||||||
\(688\) | −1.05911e8 | + | 1.18315e9i | −0.325218 | + | 3.63309i | ||||
\(689\) | 2.25401e8 | 0.689125 | ||||||||
\(690\) | −1.31916e6 | + | 2.73926e6i | −0.00401560 | + | 0.00833847i | ||||
\(691\) | 1.60332e8 | + | 3.32933e8i | 0.485944 | + | 1.00907i | 0.989422 | + | 0.145065i | \(0.0463392\pi\) |
−0.503478 | + | 0.864008i | \(0.667947\pi\) | |||||||
\(692\) | −4.74431e8 | − | 5.94917e8i | −1.43171 | − | 1.79531i | ||||
\(693\) | 1.62331e7 | − | 3.70510e6i | 0.0487755 | − | 0.0111327i | ||||
\(694\) | −7.96625e8 | −2.38328 | ||||||||
\(695\) | − | 957273.i | − | 0.00285155i | ||||||
\(696\) | 5.88955e8 | − | 1.34425e8i | 1.74684 | − | 0.398706i | ||||
\(697\) | −6.00905e7 | + | 7.53511e7i | −0.177463 | + | 0.222531i | ||||
\(698\) | 7.18253e7 | − | 3.14687e8i | 0.211209 | − | 0.925365i | ||||
\(699\) | −2.67502e6 | + | 3.35437e6i | −0.00783241 | + | 0.00982154i | ||||
\(700\) | 1.35209e8 | − | 2.80765e8i | 0.394196 | − | 0.818556i | ||||
\(701\) | 5.88728e7 | + | 2.57939e8i | 0.170907 | + | 0.748794i | 0.985627 | + | 0.168939i | \(0.0540340\pi\) |
−0.814719 | + | 0.579856i | \(0.803109\pi\) | |||||||
\(702\) | 4.03932e8 | + | 1.94523e8i | 1.16761 | + | 0.562290i | ||||
\(703\) | 7.28242e7 | + | 9.13187e7i | 0.209609 | + | 0.262841i | ||||
\(704\) | −4.76220e7 | + | 2.08646e8i | −0.136487 | + | 0.597987i | ||||
\(705\) | 471470. | − | 2.06565e6i | 0.00134551 | − | 0.00589506i | ||||
\(706\) | −4.46149e8 | − | 9.26439e8i | −1.26785 | − | 2.63271i | ||||
\(707\) | 1.10509e8 | − | 8.81277e7i | 0.312707 | − | 0.249376i | ||||
\(708\) | −5.73445e7 | − | 4.57307e7i | −0.161582 | − | 0.128857i | ||||
\(709\) | 3.66320e8 | − | 1.76411e8i | 1.02783 | − | 0.494978i | 0.157540 | − | 0.987513i | \(-0.449644\pi\) |
0.870293 | + | 0.492535i | \(0.163929\pi\) | |||||||
\(710\) | 232454. | + | 482696.i | 0.000649474 | + | 0.00134865i | ||||
\(711\) | −8.87039e7 | + | 1.11231e8i | −0.246794 | + | 0.309469i | ||||
\(712\) | −1.13549e9 | − | 1.42386e9i | −3.14590 | − | 3.94483i | ||||
\(713\) | 3.56891e8 | − | 1.71870e8i | 0.984617 | − | 0.474167i | ||||
\(714\) | −2.07150e7 | − | 4.72807e6i | −0.0569104 | − | 0.0129894i | ||||
\(715\) | 552873. | + | 126190.i | 0.00151254 | + | 0.000345228i | ||||
\(716\) | 1.06634e9 | − | 8.50378e8i | 2.90507 | − | 2.31672i | ||||
\(717\) | 8.60639e7 | − | 1.78713e8i | 0.233487 | − | 0.484841i | ||||
\(718\) | −5.97077e8 | + | 1.36279e8i | −1.61308 | + | 0.368176i | ||||
\(719\) | −7.09078e7 | − | 3.41474e7i | −0.190769 | − | 0.0918694i | 0.336061 | − | 0.941840i | \(-0.390905\pi\) |
−0.526830 | + | 0.849971i | \(0.676619\pi\) | |||||||
\(720\) | 8.45386e6 | + | 6.74173e6i | 0.0226495 | + | 0.0180623i | ||||
\(721\) | 396586. | + | 90518.2i | 0.00105811 | + | 0.000241507i | ||||
\(722\) | −5.07625e8 | − | 4.04818e8i | −1.34875 | − | 1.07559i | ||||
\(723\) | −2.53665e7 | − | 1.11138e8i | −0.0671189 | − | 0.294067i | ||||
\(724\) | 1.95149e9 | 5.14223 | ||||||||
\(725\) | 5.54939e8i | 1.45623i | ||||||||
\(726\) | −5.93131e7 | − | 2.59868e8i | −0.155003 | − | 0.679114i | ||||
\(727\) | −5.87787e8 | + | 4.68744e8i | −1.52974 | + | 1.21992i | −0.635693 | + | 0.771942i | \(0.719286\pi\) |
−0.894043 | + | 0.447982i | \(0.852143\pi\) | |||||||
\(728\) | −3.72595e8 | + | 1.79432e8i | −0.965701 | + | 0.465057i | ||||
\(729\) | −9.08627e7 | − | 4.37572e7i | −0.234532 | − | 0.112945i | ||||
\(730\) | − | 8.49822e6i | − | 0.0218454i | ||||||
\(731\) | −8.45234e6 | + | 9.44232e7i | −0.0216384 | + | 0.241728i | ||||
\(732\) | −6.99230e8 | −1.78273 | ||||||||
\(733\) | 2.43406e8 | − | 5.05437e8i | 0.618043 | − | 1.28338i | −0.323417 | − | 0.946257i | \(-0.604832\pi\) |
0.941460 | − | 0.337124i | \(-0.109454\pi\) | |||||||
\(734\) | −4.26659e8 | − | 8.85966e8i | −1.07893 | − | 2.24042i | ||||
\(735\) | 755601. | + | 947494.i | 0.00190296 | + | 0.00238624i | ||||
\(736\) | −2.02441e9 | + | 4.62059e8i | −5.07768 | + | 1.15895i | ||||
\(737\) | −3.69316e7 | −0.0922563 | ||||||||
\(738\) | 7.82165e8i | 1.94594i | ||||||||
\(739\) | 1.08425e8 | − | 2.47472e7i | 0.268655 | − | 0.0613187i | −0.0860713 | − | 0.996289i | \(-0.527431\pi\) |
0.354726 | + | 0.934970i | \(0.384574\pi\) | |||||||
\(740\) | −6.56768e6 | + | 8.23561e6i | −0.0162075 | + | 0.0203236i | ||||
\(741\) | −1.05882e7 | + | 4.63899e7i | −0.0260236 | + | 0.114017i | ||||
\(742\) | −1.16827e8 | + | 1.46496e8i | −0.285977 | + | 0.358604i | ||||
\(743\) | −1.35249e8 | + | 2.80848e8i | −0.329737 | + | 0.684706i | −0.998259 | − | 0.0589864i | \(-0.981213\pi\) |
0.668522 | + | 0.743693i | \(0.266927\pi\) | |||||||
\(744\) | 8.81893e7 | + | 3.86382e8i | 0.214140 | + | 0.938207i | ||||
\(745\) | 3.99040e6 | + | 1.92168e6i | 0.00965046 | + | 0.00464742i | ||||
\(746\) | 1.05948e8 | + | 1.32854e8i | 0.255197 | + | 0.320006i | ||||
\(747\) | −1.00635e8 | + | 4.40910e8i | −0.241428 | + | 1.05776i | ||||
\(748\) | −1.06380e7 | + | 4.66082e7i | −0.0254188 | + | 0.111367i | ||||
\(749\) | −9.00490e7 | − | 1.86989e8i | −0.214306 | − | 0.445010i | ||||
\(750\) | 4.36959e6 | − | 3.48463e6i | 0.0103575 | − | 0.00825986i | ||||
\(751\) | 2.99306e8 | + | 2.38689e8i | 0.706637 | + | 0.563524i | 0.909510 | − | 0.415681i | \(-0.136457\pi\) |
−0.202874 | + | 0.979205i | \(0.565028\pi\) | |||||||
\(752\) | 2.45823e9 | − | 1.18382e9i | 5.78054 | − | 2.78376i | ||||
\(753\) | 1.32843e8 | + | 2.75852e8i | 0.311139 | + | 0.646087i | ||||
\(754\) | 7.27204e8 | − | 9.11885e8i | 1.69645 | − | 2.12729i | ||||
\(755\) | −1.50945e6 | − | 1.89279e6i | −0.00350734 | − | 0.00439807i | ||||
\(756\) | −2.45354e8 | + | 1.18156e8i | −0.567842 | + | 0.273458i | ||||
\(757\) | −5.14900e7 | − | 1.17523e7i | −0.118696 | − | 0.0270915i | 0.162760 | − | 0.986666i | \(-0.447960\pi\) |
−0.281456 | + | 0.959574i | \(0.590817\pi\) | |||||||
\(758\) | −1.19645e9 | − | 2.73081e8i | −2.74717 | − | 0.627025i | ||||
\(759\) | −3.08835e7 | + | 2.46287e7i | −0.0706318 | + | 0.0563270i | ||||
\(760\) | −1.87665e6 | + | 3.89690e6i | −0.00427506 | + | 0.00887725i | ||||
\(761\) | −4.03034e8 | + | 9.19898e7i | −0.914508 | + | 0.208730i | −0.653783 | − | 0.756683i | \(-0.726819\pi\) |
−0.260725 | + | 0.965413i | \(0.583962\pi\) | |||||||
\(762\) | −2.73455e8 | − | 1.31689e8i | −0.618046 | − | 0.297635i | ||||
\(763\) | −8.13892e7 | − | 6.49057e7i | −0.183229 | − | 0.146120i | ||||
\(764\) | −5.45634e7 | − | 1.24537e7i | −0.122355 | − | 0.0279267i | ||||
\(765\) | 674672. | + | 538033.i | 0.00150698 | + | 0.00120178i | ||||
\(766\) | 1.07496e8 | + | 4.70972e8i | 0.239170 | + | 1.04787i | ||||
\(767\) | −8.94147e7 | −0.198163 | ||||||||
\(768\) | − | 4.06707e8i | − | 0.897838i | ||||||
\(769\) | −6.03006e7 | − | 2.64194e8i | −0.132600 | − | 0.580957i | −0.996948 | − | 0.0780643i | \(-0.975126\pi\) |
0.864349 | − | 0.502893i | \(-0.167731\pi\) | |||||||
\(770\) | −368574. | + | 293928.i | −0.000807332 | + | 0.000643826i | ||||
\(771\) | −6.20679e7 | + | 2.98903e7i | −0.135427 | + | 0.0652180i | ||||
\(772\) | 1.27983e9 | + | 6.16332e8i | 2.78163 | + | 1.33956i | ||||
\(773\) | − | 1.91045e7i | − | 0.0413616i | −0.999786 | − | 0.0206808i | \(-0.993417\pi\) | ||
0.999786 | − | 0.0206808i | \(-0.00658337\pi\) | |||||||
\(774\) | 4.24152e8 | + | 6.41889e8i | 0.914742 | + | 1.38432i | ||||
\(775\) | −3.64067e8 | −0.782124 | ||||||||
\(776\) | −1.07391e8 | + | 2.22999e8i | −0.229817 | + | 0.477220i | ||||
\(777\) | −2.63918e7 | − | 5.48031e7i | −0.0562607 | − | 0.116827i | ||||
\(778\) | −8.67329e7 | − | 1.08760e8i | −0.184181 | − | 0.230956i | ||||
\(779\) | −1.74922e8 | + | 3.99248e7i | −0.370026 | + | 0.0844560i | ||||
\(780\) | −4.29129e6 | −0.00904281 | ||||||||
\(781\) | 6.96069e6i | 0.0146117i | ||||||||
\(782\) | −3.04623e8 | + | 6.95283e7i | −0.637005 | + | 0.145392i | ||||
\(783\) | 3.02360e8 | − | 3.79148e8i | 0.629854 | − | 0.789811i | ||||
\(784\) | −3.47267e8 | + | 1.52148e9i | −0.720635 | + | 3.15731i | ||||
\(785\) | −5.02917e6 | + | 6.30639e6i | −0.0103965 | + | 0.0130368i | ||||
\(786\) | −1.01516e8 | + | 2.10799e8i | −0.209057 | + | 0.434112i | ||||
\(787\) | −3.95157e7 | − | 1.73129e8i | −0.0810672 | − | 0.355178i | 0.918083 | − | 0.396387i | \(-0.129736\pi\) |
−0.999151 | + | 0.0412088i | \(0.986879\pi\) | |||||||
\(788\) | 1.92621e9 | + | 9.27613e8i | 3.93663 | + | 1.89578i | ||||
\(789\) | 1.89776e8 | + | 2.37972e8i | 0.386377 | + | 0.484501i | ||||
\(790\) | 896328. | − | 3.92707e6i | 0.00181797 | − | 0.00796503i | ||||
\(791\) | −5.11124e7 | + | 2.23938e8i | −0.103275 | + | 0.452479i | ||||
\(792\) | 1.06291e8 | + | 2.20716e8i | 0.213955 | + | 0.444282i | ||||
\(793\) | −6.66443e8 | + | 5.31471e8i | −1.33642 | + | 1.06576i | ||||
\(794\) | −7.42733e8 | − | 5.92310e8i | −1.48379 | − | 1.18328i | ||||
\(795\) | −1.10611e6 | + | 532672.i | −0.00220138 | + | 0.00106013i | ||||
\(796\) | −5.91767e8 | − | 1.22882e9i | −1.17331 | − | 2.43640i | ||||
\(797\) | 7.13596e6 | − | 8.94821e6i | 0.0140954 | − | 0.0176751i | −0.774734 | − | 0.632288i | \(-0.782116\pi\) |
0.788829 | + | 0.614612i | \(0.210688\pi\) | |||||||
\(798\) | −2.46626e7 | − | 3.09259e7i | −0.0485322 | − | 0.0608574i | ||||
\(799\) | 1.96182e8 | − | 9.44764e7i | 0.384609 | − | 0.185218i | ||||
\(800\) | 1.86060e9 | + | 4.24670e8i | 3.63399 | + | 0.829434i | ||||
\(801\) | −6.59467e8 | − | 1.50519e8i | −1.28320 | − | 0.292883i | ||||
\(802\) | 1.66299e8 | − | 1.32619e8i | 0.322379 | − | 0.257088i | ||||
\(803\) | 4.79060e7 | − | 9.94779e7i | 0.0925217 | − | 0.192123i | ||||
\(804\) | 2.72462e8 | − | 6.21876e7i | 0.524249 | − | 0.119656i | ||||
\(805\) | −2.02838e6 | − | 976816.i | −0.00388832 | − | 0.00187251i | ||||
\(806\) | 5.98240e8 | + | 4.77081e8i | 1.14254 | + | 0.911143i | ||||
\(807\) | −4.34940e7 | − | 9.92723e6i | −0.0827578 | − | 0.0188889i | ||||
\(808\) | 1.62590e9 | + | 1.29661e9i | 3.08218 | + | 2.45796i | ||||
\(809\) | −9.40819e7 | − | 4.12200e8i | −0.177689 | − | 0.778506i | −0.982694 | − | 0.185238i | \(-0.940694\pi\) |
0.805005 | − | 0.593268i | \(-0.202163\pi\) | |||||||
\(810\) | 5.69120e6 | 0.0107090 | ||||||||
\(811\) | − | 4.64400e8i | − | 0.870622i | −0.900280 | − | 0.435311i | \(-0.856638\pi\) | ||
0.900280 | − | 0.435311i | \(-0.143362\pi\) | |||||||
\(812\) | 1.57646e8 | + | 6.90692e8i | 0.294452 | + | 1.29008i | ||||
\(813\) | −1.21106e8 | + | 9.65792e7i | −0.225370 | + | 0.179726i | ||||
\(814\) | −1.68754e8 | + | 8.12676e7i | −0.312882 | + | 0.150676i | ||||
\(815\) | −415049. | − | 199877.i | −0.000766701 | − | 0.000369224i | ||||
\(816\) | − | 1.79273e8i | − | 0.329948i | ||||||
\(817\) | −1.21901e8 | + | 1.27621e8i | −0.223532 | + | 0.234022i | ||||
\(818\) | 5.51310e8 | 1.00725 | ||||||||
\(819\) | −6.66448e7 | + | 1.38389e8i | −0.121315 | + | 0.251913i | ||||
\(820\) | −7.02072e6 | − | 1.45787e7i | −0.0127333 | − | 0.0264409i | ||||
\(821\) | 2.63716e8 | + | 3.30690e8i | 0.476549 | + | 0.597573i | 0.960761 | − | 0.277377i | \(-0.0894653\pi\) |
−0.484212 | + | 0.874950i | \(0.660894\pi\) | |||||||
\(822\) | −3.47604e8 | + | 7.93383e7i | −0.625848 | + | 0.142846i | ||||
\(823\) | −2.72196e8 | −0.488296 | −0.244148 | − | 0.969738i | \(-0.578508\pi\) | ||||
−0.244148 | + | 0.969738i | \(0.578508\pi\) | |||||||
\(824\) | 5.98496e6i | 0.0106974i | ||||||||
\(825\) | 3.53948e7 | − | 8.07864e6i | 0.0630345 | − | 0.0143872i | ||||
\(826\) | 4.63443e7 | − | 5.81139e7i | 0.0822349 | − | 0.103119i | ||||
\(827\) | −1.57854e8 | + | 6.91603e8i | −0.279086 | + | 1.22276i | 0.619865 | + | 0.784709i | \(0.287188\pi\) |
−0.898951 | + | 0.438049i | \(0.855670\pi\) | |||||||
\(828\) | −1.15523e9 | + | 1.44862e9i | −2.03507 | + | 2.55189i | ||||
\(829\) | 3.81735e8 | − | 7.92680e8i | 0.670036 | − | 1.39134i | −0.237508 | − | 0.971386i | \(-0.576331\pi\) |
0.907544 | − | 0.419958i | \(-0.137955\pi\) | |||||||
\(830\) | −2.84926e6 | − | 1.24834e7i | −0.00498307 | − | 0.0218323i | ||||
\(831\) | −7.81970e7 | − | 3.76577e7i | −0.136266 | − | 0.0656221i | ||||
\(832\) | −1.23092e9 | − | 1.54353e9i | −2.13728 | − | 2.68006i | ||||
\(833\) | −2.77141e7 | + | 1.21423e8i | −0.0479475 | + | 0.210072i | ||||
\(834\) | −2.86617e7 | + | 1.25575e8i | −0.0494088 | + | 0.216474i | ||||
\(835\) | −1.36597e6 | − | 2.83646e6i | −0.00234629 | − | 0.00487211i | ||||
\(836\) | −6.95823e7 | + | 5.54900e7i | −0.119091 | + | 0.0949721i | ||||
\(837\) | 2.48739e8 | + | 1.98363e8i | 0.424197 | + | 0.338286i | ||||
\(838\) | −1.70590e9 | + | 8.21519e8i | −2.89882 | + | 1.39600i | ||||
\(839\) | 1.34540e8 | + | 2.79376e8i | 0.227807 | + | 0.473046i | 0.983272 | − | 0.182143i | \(-0.0583034\pi\) |
−0.755465 | + | 0.655189i | \(0.772589\pi\) | |||||||
\(840\) | 1.40439e6 | − | 1.76105e6i | 0.00236946 | − | 0.00297121i | ||||
\(841\) | −4.15733e8 | − | 5.21313e8i | −0.698919 | − | 0.876416i | ||||
\(842\) | −6.02497e8 | + | 2.90147e8i | −1.00930 | + | 0.486051i | ||||
\(843\) | 5.35144e7 | + | 1.22143e7i | 0.0893281 | + | 0.0203885i | ||||
\(844\) | 6.76317e8 | + | 1.54365e8i | 1.12492 | + | 0.256756i | ||||
\(845\) | 260770. | − | 207957.i | 0.000432203 | − | 0.000344671i | ||||
\(846\) | 7.66735e8 | − | 1.59214e9i | 1.26629 | − | 2.62949i | ||||
\(847\) | 1.92428e8 | − | 4.39204e7i | 0.316678 | − | 0.0722796i | ||||
\(848\) | −1.42438e9 | − | 6.85945e8i | −2.33581 | − | 1.12487i | ||||
\(849\) | 2.04738e8 | + | 1.63273e8i | 0.334561 | + | 0.266803i | ||||
\(850\) | 2.79974e8 | + | 6.39023e7i | 0.455891 | + | 0.104054i | ||||
\(851\) | −6.99336e8 | − | 5.57702e8i | −1.13474 | − | 0.904926i | ||||
\(852\) | −1.17208e7 | − | 5.13522e7i | −0.0189513 | − | 0.0830310i | ||||
\(853\) | −9.82643e8 | −1.58325 | −0.791624 | − | 0.611009i | \(-0.790764\pi\) | ||||
−0.791624 | + | 0.611009i | \(0.790764\pi\) | |||||||
\(854\) | − | 7.08611e8i | − | 1.13772i | ||||||
\(855\) | 357475. | + | 1.56620e6i | 0.000571937 | + | 0.00250582i | ||||
\(856\) | 2.38734e9 | − | 1.90384e9i | 3.80622 | − | 3.03536i | ||||
\(857\) | −5.10999e7 | + | 2.46084e7i | −0.0811853 | + | 0.0390968i | −0.474036 | − | 0.880506i | \(-0.657203\pi\) |
0.392850 | + | 0.919602i | \(0.371489\pi\) | |||||||
\(858\) | −6.87478e7 | − | 3.31072e7i | −0.108842 | − | 0.0524156i | ||||
\(859\) | − | 4.05303e8i | − | 0.639441i | −0.947512 | − | 0.319721i | \(-0.896411\pi\) | ||
0.947512 | − | 0.319721i | \(-0.103589\pi\) | |||||||
\(860\) | −1.36673e7 | − | 8.15690e6i | −0.0214876 | − | 0.0128242i | ||||
\(861\) | 9.34374e7 | 0.146390 | ||||||||
\(862\) | −1.63693e8 | + | 3.39912e8i | −0.255569 | + | 0.530695i | ||||
\(863\) | 2.58026e7 | + | 5.35797e7i | 0.0401450 | + | 0.0833619i | 0.920077 | − | 0.391738i | \(-0.128126\pi\) |
−0.879932 | + | 0.475100i | \(0.842412\pi\) | |||||||
\(864\) | −1.03983e9 | − | 1.30390e9i | −1.61220 | − | 2.02164i | ||||
\(865\) | 4.92580e6 | − | 1.12428e6i | 0.00761077 | − | 0.00173711i | ||||
\(866\) | 9.60338e8 | 1.47867 | ||||||||
\(867\) | 2.28596e8i | 0.350761i | ||||||||
\(868\) | −4.53127e8 | + | 1.03423e8i | −0.692885 | + | 0.158146i | ||||
\(869\) | 3.26298e7 | − | 4.09164e7i | 0.0497227 | − | 0.0623503i | ||||
\(870\) | −1.41361e6 | + | 6.19342e6i | −0.00214670 | + | 0.00940530i | ||||
\(871\) | 2.12419e8 | − | 2.66364e8i | 0.321468 | − | 0.403108i | ||||
\(872\) | 6.64543e8 | − | 1.37994e9i | 1.00224 | − | 2.08118i | ||||
\(873\) | 2.04565e7 | + | 8.96256e7i | 0.0307459 | + | 0.134707i | ||||
\(874\) | −5.24078e8 | − | 2.52383e8i | −0.784986 | − | 0.378029i | ||||
\(875\) | 2.58031e6 | + | 3.23561e6i | 0.00385166 | + | 0.00482983i | ||||
\(876\) | −1.85918e8 | + | 8.14561e8i | −0.276573 | + | 1.21175i | ||||
\(877\) | −1.66682e8 | + | 7.30283e8i | −0.247110 | + | 1.08266i | 0.687275 | + | 0.726397i | \(0.258807\pi\) |
−0.934385 | + | 0.356264i | \(0.884050\pi\) | |||||||
\(878\) | 1.03868e9 | + | 2.15684e9i | 1.53461 | + | 3.18665i | ||||
\(879\) | 1.21357e8 | − | 9.67786e7i | 0.178689 | − | 0.142499i | ||||
\(880\) | −3.10976e6 | − | 2.47995e6i | −0.00456330 | − | 0.00363911i | ||||
\(881\) | 4.10161e8 | − | 1.97523e8i | 0.599827 | − | 0.288862i | −0.109226 | − | 0.994017i | \(-0.534837\pi\) |
0.709053 | + | 0.705155i | \(0.249123\pi\) | |||||||
\(882\) | 4.38557e8 | + | 9.10672e8i | 0.639175 | + | 1.32726i | ||||
\(883\) | 7.08707e8 | − | 8.88691e8i | 1.02940 | − | 1.29083i | 0.0734517 | − | 0.997299i | \(-0.476599\pi\) |
0.955950 | − | 0.293530i | \(-0.0948300\pi\) | |||||||
\(884\) | −2.74969e8 | − | 3.44800e8i | −0.398040 | − | 0.499126i | ||||
\(885\) | 438783. | − | 211307.i | 0.000633023 | − | 0.000304848i | ||||
\(886\) | −2.82153e8 | − | 6.43995e7i | −0.405679 | − | 0.0925937i | ||||
\(887\) | 1.61395e8 | + | 3.68373e7i | 0.231270 | + | 0.0527858i | 0.336585 | − | 0.941653i | \(-0.390728\pi\) |
−0.105315 | + | 0.994439i | \(0.533585\pi\) | |||||||
\(888\) | 6.99688e8 | − | 5.57983e8i | 0.999230 | − | 0.796860i | ||||
\(889\) | 9.75135e7 | − | 2.02489e8i | 0.138790 | − | 0.288201i | ||||
\(890\) | 1.86714e7 | − | 4.26162e6i | 0.0264854 | − | 0.00604511i | ||||
\(891\) | 6.66196e7 | + | 3.20823e7i | 0.0941822 | + | 0.0453558i | ||||
\(892\) | −2.05632e8 | − | 1.63986e8i | −0.289732 | − | 0.231054i | ||||
\(893\) | 3.95201e8 | + | 9.02021e7i | 0.554963 | + | 0.126667i | ||||
\(894\) | −4.65925e8 | − | 3.71563e8i | −0.652084 | − | 0.520019i | ||||
\(895\) | 2.01518e6 | + | 8.82910e6i | 0.00281090 | + | 0.0123154i | ||||
\(896\) | 7.43166e8 | 1.03315 | ||||||||
\(897\) | − | 3.64399e8i | − | 0.504894i | ||||||
\(898\) | 2.86970e8 | + | 1.25730e9i | 0.396285 | + | 1.73624i | ||||
\(899\) | 6.47102e8 | − | 5.16047e8i | 0.890623 | − | 0.710248i | ||||
\(900\) | 1.53428e9 | − | 7.38870e8i | 2.10464 | − | 1.01354i | ||||
\(901\) | −1.13675e8 | − | 5.47428e7i | −0.155414 | − | 0.0748432i | ||||
\(902\) | − | 2.87720e8i | − | 0.392058i | ||||||
\(903\) | 7.66801e7 | − | 5.06692e7i | 0.104140 | − | 0.0688146i | ||||
\(904\) | −3.37949e9 | −4.57453 | ||||||||
\(905\) | −5.62214e6 | + | 1.16745e7i | −0.00758500 | + | 0.0157504i | ||||
\(906\) | 1.41338e8 | + | 2.93491e8i | 0.190053 | + | 0.394649i | ||||
\(907\) | 3.32834e8 | + | 4.17361e8i | 0.446073 | + | 0.559358i | 0.953133 | − | 0.302553i | \(-0.0978390\pi\) |
−0.507059 | + | 0.861911i | \(0.669268\pi\) | |||||||
\(908\) | −1.66519e9 | + | 3.80068e8i | −2.22436 | + | 0.507697i | ||||
\(909\) | 7.72405e8 | 1.02838 | ||||||||
\(910\) | − | 4.34886e6i | − | 0.00577100i | ||||||
\(911\) | −7.45785e8 | + | 1.70221e8i | −0.986412 | + | 0.225142i | −0.685152 | − | 0.728400i | \(-0.740264\pi\) |
−0.301260 | + | 0.953542i | \(0.597407\pi\) | |||||||
\(912\) | 2.08085e8 | − | 2.60930e8i | 0.274319 | − | 0.343985i | ||||
\(913\) | 3.70186e7 | − | 1.62189e8i | 0.0486416 | − | 0.213113i | ||||
\(914\) | 8.18249e6 | − | 1.02605e7i | 0.0107164 | − | 0.0134379i | ||||
\(915\) | 2.01444e6 | − | 4.18303e6i | 0.00262961 | − | 0.00546044i | ||||
\(916\) | −2.09869e8 | − | 9.19496e8i | −0.273062 | − | 1.19636i | ||||
\(917\) | −1.56093e8 | − | 7.51706e7i | −0.202431 | − | 0.0974855i | ||||
\(918\) | −1.56468e8 | − | 1.96205e8i | −0.202254 | − | 0.253618i | ||||
\(919\) | 2.40634e8 | − | 1.05429e9i | 0.310034 | − | 1.35835i | −0.544415 | − | 0.838816i | \(-0.683248\pi\) |
0.854450 | − | 0.519534i | \(-0.173894\pi\) | |||||||
\(920\) | 7.37066e6 | − | 3.22930e7i | 0.00946549 | − | 0.0414710i | ||||
\(921\) | −1.09372e8 | − | 2.27114e8i | −0.140000 | − | 0.290714i | ||||
\(922\) | −8.92123e8 | + | 7.11444e8i | −1.13823 | + | 0.907712i | ||||
\(923\) | −5.02030e7 | − | 4.00356e7i | −0.0638447 | − | 0.0509145i | ||||
\(924\) | 4.17584e7 | − | 2.01098e7i | 0.0529332 | − | 0.0254913i | ||||
\(925\) | 3.56698e8 | + | 7.40691e8i | 0.450687 | + | 0.935862i | ||||
\(926\) | −1.77095e9 | + | 2.22070e9i | −2.23035 | + | 2.79677i | ||||
\(927\) | 1.38598e6 | + | 1.73796e6i | 0.00173987 | + | 0.00218173i | ||||
\(928\) | −3.90904e9 | + | 1.88249e9i | −4.89132 | + | 2.35553i | ||||
\(929\) | −7.84485e8 | − | 1.79053e8i | −0.978447 | − | 0.223324i | −0.296747 | − | 0.954956i | \(-0.595902\pi\) |
−0.681700 | + | 0.731632i | \(0.738759\pi\) | |||||||
\(930\) | −4.06318e6 | − | 927394.i | −0.00505146 | − | 0.00115296i | ||||
\(931\) | −1.81275e8 | + | 1.44562e8i | −0.224641 | + | 0.179146i | ||||
\(932\) | 3.21196e7 | − | 6.66970e7i | 0.0396755 | − | 0.0823870i | ||||
\(933\) | 4.06267e8 | − | 9.27277e7i | 0.500226 | − | 0.114173i | ||||
\(934\) | 1.01645e9 | + | 4.89494e8i | 1.24751 | + | 0.600768i | ||||
\(935\) | −248178. | − | 197916.i | −0.000303619 | − | 0.000242128i | ||||
\(936\) | −2.20324e9 | − | 5.02875e8i | −2.68679 | − | 0.613243i | ||||
\(937\) | −2.92177e8 | − | 2.33003e8i | −0.355162 | − | 0.283232i | 0.429613 | − | 0.903013i | \(-0.358650\pi\) |
−0.784775 | + | 0.619781i | \(0.787222\pi\) | |||||||
\(938\) | 6.30220e7 | + | 2.76117e8i | 0.0763631 | + | 0.334569i | ||||
\(939\) | −2.64330e8 | −0.319264 | ||||||||
\(940\) | 3.65580e7i | 0.0440148i | ||||||||
\(941\) | 2.58523e8 | + | 1.13266e9i | 0.310264 | + | 1.35935i | 0.854076 | + | 0.520147i | \(0.174123\pi\) |
−0.543813 | + | 0.839207i | \(0.683020\pi\) | |||||||
\(942\) | 8.48548e8 | − | 6.76694e8i | 1.01513 | − | 0.809543i | ||||
\(943\) | 1.23796e9 | − | 5.96172e8i | 1.47629 | − | 0.710946i | ||||
\(944\) | 5.65039e8 | + | 2.72109e8i | 0.671681 | + | 0.323464i | ||||
\(945\) | − | 1.80819e6i | − | 0.00214264i | ||||||
\(946\) | −1.56025e8 | − | 2.36119e8i | −0.184298 | − | 0.278906i | ||||
\(947\) | 1.23373e9 | 1.45269 | 0.726343 | − | 0.687333i | \(-0.241219\pi\) | ||||
0.726343 | + | 0.687333i | \(0.241219\pi\) | |||||||
\(948\) | −1.71827e8 | + | 3.56803e8i | −0.201682 | + | 0.418797i | ||||
\(949\) | 4.41931e8 | + | 9.17680e8i | 0.517078 | + | 1.07372i | ||||
\(950\) | 3.33327e8 | + | 4.17979e8i | 0.388776 | + | 0.487510i | ||||
\(951\) | 6.09093e7 | − | 1.39021e7i | 0.0708177 | − | 0.0161637i | ||||
\(952\) | 2.31486e8 | 0.268296 | ||||||||
\(953\) | − | 9.31315e8i | − | 1.07601i | −0.842940 | − | 0.538007i | \(-0.819177\pi\) | ||
0.842940 | − | 0.538007i | \(-0.180823\pi\) | |||||||
\(954\) | −9.98270e8 | + | 2.27849e8i | −1.14975 | + | 0.262423i | ||||
\(955\) | 231697. | − | 290538.i | 0.000266017 | − | 0.000333575i | ||||
\(956\) | −7.61583e8 | + | 3.33671e9i | −0.871652 | + | 3.81896i | ||||
\(957\) | −5.14607e7 | + | 6.45297e7i | −0.0587138 | + | 0.0736247i | ||||
\(958\) | 5.73308e8 | − | 1.19049e9i | 0.652066 | − | 1.35403i | ||||
\(959\) | −5.87487e7 | − | 2.57395e8i | −0.0666105 | − | 0.291840i | ||||
\(960\) | 9.68818e6 | + | 4.66558e6i | 0.0109504 | + | 0.00527342i | ||||
\(961\) | −2.14798e8 | − | 2.69348e8i | −0.242025 | − | 0.303490i | ||||
\(962\) | 3.84485e8 | − | 1.68454e9i | 0.431871 | − | 1.89215i | ||||
\(963\) | 2.52370e8 | − | 1.10571e9i | 0.282592 | − | 1.23812i | ||||
\(964\) | 8.53417e8 | + | 1.77214e9i | 0.952643 | + | 1.97818i | ||||
\(965\) | −7.37421e6 | + | 5.88074e6i | −0.00820604 | + | 0.00654410i | ||||
\(966\) | 2.36836e8 | + | 1.88871e8i | 0.262734 | + | 0.209524i | ||||
\(967\) | −1.35527e9 | + | 6.52665e8i | −1.49881 | + | 0.721790i | −0.990259 | − | 0.139241i | \(-0.955534\pi\) |
−0.508553 | + | 0.861031i | \(0.669820\pi\) | |||||||
\(968\) | 1.25998e9 | + | 2.61638e9i | 1.38912 | + | 2.88453i | ||||
\(969\) | 1.66065e7 | − | 2.08239e7i | 0.0182519 | − | 0.0228871i | ||||
\(970\) | −1.62282e6 | − | 2.03496e6i | −0.00177810 | − | 0.00222967i | ||||
\(971\) | 9.55056e8 | − | 4.59931e8i | 1.04321 | − | 0.502383i | 0.167828 | − | 0.985816i | \(-0.446325\pi\) |
0.875381 | + | 0.483433i | \(0.160610\pi\) | |||||||
\(972\) | −2.23040e9 | − | 5.09074e8i | −2.42875 | − | 0.554347i | ||||
\(973\) | −9.29864e7 | − | 2.12235e7i | −0.100944 | − | 0.0230398i | ||||
\(974\) | 1.38914e9 | − | 1.10781e9i | 1.50339 | − | 1.19891i | ||||
\(975\) | −1.45313e8 | + | 3.01746e8i | −0.156780 | + | 0.325558i | ||||
\(976\) | 5.82885e9 | − | 1.33040e9i | 6.26951 | − | 1.43097i | ||||
\(977\) | −1.51471e9 | − | 7.29447e8i | −1.62423 | − | 0.782186i | −1.00000 | 0.000941452i | \(-0.999700\pi\) | |
−0.624226 | − | 0.781244i | \(-0.714585\pi\) | |||||||
\(978\) | 4.84617e7 | + | 3.86469e7i | 0.0518062 | + | 0.0413141i | ||||
\(979\) | 2.42585e8 | + | 5.53685e7i | 0.258533 | + | 0.0590086i | ||||
\(980\) | −1.63484e7 | − | 1.30374e7i | −0.0173699 | − | 0.0138520i | ||||
\(981\) | −1.26586e8 | − | 5.54610e8i | −0.134085 | − | 0.587464i | ||||
\(982\) | 1.64443e9 | 1.73652 | ||||||||
\(983\) | 1.40125e9i | 1.47521i | 0.675233 | + | 0.737605i | \(0.264043\pi\) | ||||
−0.675233 | + | 0.737605i | \(0.735957\pi\) | |||||||
\(984\) | 3.05906e8 | + | 1.34026e9i | 0.321072 | + | 1.40671i | ||||
\(985\) | −1.10986e7 | + | 8.85083e6i | −0.0116134 | + | 0.00926137i | ||||
\(986\) | −5.88213e8 | + | 2.83268e8i | −0.613626 | + | 0.295507i | ||||
\(987\) | −1.90197e8 | − | 9.15942e7i | −0.197812 | − | 0.0952613i | ||||
\(988\) | − | 8.21013e8i | − | 0.851293i | ||||||
\(989\) | 6.92652e8 | − | 1.16058e9i | 0.716022 | − | 1.19973i | ||||
\(990\) | −2.57616e6 | −0.00265502 | ||||||||
\(991\) | 4.22956e8 | − | 8.78276e8i | 0.434584 | − | 0.902423i | −0.562550 | − | 0.826763i | \(-0.690180\pi\) |
0.997134 | − | 0.0756595i | \(-0.0241062\pi\) | |||||||
\(992\) | −1.23501e9 | − | 2.56452e9i | −1.26513 | − | 2.62706i | ||||
\(993\) | −1.08116e8 | − | 1.35573e8i | −0.110419 | − | 0.138461i | ||||
\(994\) | 5.20412e7 | − | 1.18781e7i | 0.0529893 | − | 0.0120945i | ||||
\(995\) | 9.05604e6 | 0.00919325 | ||||||||
\(996\) | 1.25888e9i | 1.27411i | ||||||||
\(997\) | −1.82840e7 | + | 4.17320e6i | −0.0184495 | + | 0.00421098i | −0.231736 | − | 0.972779i | \(-0.574440\pi\) |
0.213286 | + | 0.976990i | \(0.431583\pi\) | |||||||
\(998\) | 2.18461e9 | − | 2.73941e9i | 2.19777 | − | 2.75591i | ||||
\(999\) | 1.59863e8 | − | 7.00406e8i | 0.160344 | − | 0.702512i |
(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 | 43.7.f.a.22.1 | yes | 126 | |
43.2 | odd | 14 | inner | 43.7.f.a.2.1 | ✓ | 126 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.7.f.a.2.1 | ✓ | 126 | 43.2 | odd | 14 | inner | |
43.7.f.a.22.1 | yes | 126 | 1.1 | even | 1 | trivial |