Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [33,7,Mod(5,33)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(33, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 4]))
N = Newforms(chi, 7, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("33.5");
S:= CuspForms(chi, 7);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 33 = 3 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 7 \) |
Character orbit: | \([\chi]\) | \(=\) | 33.h (of order \(10\), degree \(4\), 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: | \(7.59178475946\) |
Analytic rank: | \(0\) |
Dimension: | \(88\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 5.1 | ||
Character | \(\chi\) | \(=\) | 33.5 |
Dual form | 33.7.h.a.20.1 |
$q$-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 \(\left(\mathbb{Z}/33\mathbb{Z}\right)^\times\).
\(n\) | \(13\) | \(23\) |
\(\chi(n)\) | \(e\left(\frac{2}{5}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −14.6057 | + | 4.74569i | −1.82572 | + | 0.593212i | −0.826162 | + | 0.563433i | \(0.809480\pi\) |
−0.999557 | + | 0.0297789i | \(0.990520\pi\) | |||||||
\(3\) | 25.8173 | − | 7.90347i | 0.956198 | − | 0.292721i | ||||
\(4\) | 139.029 | − | 101.011i | 2.17233 | − | 1.57829i | ||||
\(5\) | −39.7419 | − | 12.9129i | −0.317935 | − | 0.103303i | 0.145702 | − | 0.989329i | \(-0.453456\pi\) |
−0.463637 | + | 0.886025i | \(0.653456\pi\) | |||||||
\(6\) | −339.574 | + | 237.957i | −1.57210 | + | 1.10165i | ||||
\(7\) | −103.376 | + | 75.1073i | −0.301389 | + | 0.218972i | −0.728193 | − | 0.685372i | \(-0.759639\pi\) |
0.426804 | + | 0.904344i | \(0.359639\pi\) | |||||||
\(8\) | −973.541 | + | 1339.96i | −1.90145 | + | 2.61712i | ||||
\(9\) | 604.070 | − | 408.093i | 0.828629 | − | 0.559799i | ||||
\(10\) | 641.741 | 0.641741 | ||||||||
\(11\) | −961.175 | − | 920.708i | −0.722145 | − | 0.691741i | ||||
\(12\) | 2791.03 | − | 3706.64i | 1.61518 | − | 2.14504i | ||||
\(13\) | −481.959 | − | 1483.32i | −0.219371 | − | 0.675155i | −0.998814 | − | 0.0486823i | \(-0.984498\pi\) |
0.779443 | − | 0.626473i | \(-0.215502\pi\) | |||||||
\(14\) | 1153.45 | − | 1587.59i | 0.420354 | − | 0.578568i | ||||
\(15\) | −1128.09 | − | 19.2784i | −0.334248 | − | 0.00571212i | ||||
\(16\) | 4461.55 | − | 13731.2i | 1.08924 | − | 3.35235i | ||||
\(17\) | 5866.57 | + | 1906.16i | 1.19409 | + | 0.387983i | 0.837584 | − | 0.546309i | \(-0.183968\pi\) |
0.356507 | + | 0.934293i | \(0.383968\pi\) | |||||||
\(18\) | −6886.21 | + | 8827.24i | −1.18076 | + | 1.51359i | ||||
\(19\) | −6525.83 | − | 4741.29i | −0.951425 | − | 0.691251i | −0.000281797 | − | 1.00000i | \(-0.500090\pi\) |
−0.951144 | + | 0.308749i | \(0.900090\pi\) | |||||||
\(20\) | −6829.62 | + | 2219.08i | −0.853703 | + | 0.277385i | ||||
\(21\) | −2075.29 | + | 2756.10i | −0.224090 | + | 0.297603i | ||||
\(22\) | 18408.1 | + | 8886.18i | 1.72878 | + | 0.834540i | ||||
\(23\) | − | 18919.1i | − | 1.55495i | −0.628911 | − | 0.777477i | \(-0.716499\pi\) | ||
0.628911 | − | 0.777477i | \(-0.283501\pi\) | |||||||
\(24\) | −14543.9 | + | 42288.7i | −1.05207 | + | 3.05907i | ||||
\(25\) | −11228.2 | − | 8157.78i | −0.718606 | − | 0.522098i | ||||
\(26\) | 14078.7 | + | 19377.7i | 0.801020 | + | 1.10251i | ||||
\(27\) | 12370.1 | − | 15310.1i | 0.628468 | − | 0.777836i | ||||
\(28\) | −6785.69 | + | 20884.2i | −0.309115 | + | 0.951358i | ||||
\(29\) | −14056.7 | − | 19347.4i | −0.576355 | − | 0.793284i | 0.416935 | − | 0.908936i | \(-0.363104\pi\) |
−0.993290 | + | 0.115652i | \(0.963104\pi\) | |||||||
\(30\) | 16568.0 | − | 5071.98i | 0.613631 | − | 0.187851i | ||||
\(31\) | 4426.50 | + | 13623.4i | 0.148585 | + | 0.457298i | 0.997455 | − | 0.0713043i | \(-0.0227161\pi\) |
−0.848869 | + | 0.528603i | \(0.822716\pi\) | |||||||
\(32\) | 115726.i | 3.53167i | ||||||||
\(33\) | −32091.8 | − | 16173.6i | −0.893001 | − | 0.450054i | ||||
\(34\) | −94731.6 | −2.41023 | ||||||||
\(35\) | 5078.23 | − | 1650.02i | 0.118443 | − | 0.0384843i | ||||
\(36\) | 42761.6 | − | 117754.i | 0.916530 | − | 2.52388i | ||||
\(37\) | 49079.2 | − | 35658.1i | 0.968930 | − | 0.703969i | 0.0137223 | − | 0.999906i | \(-0.495632\pi\) |
0.955207 | + | 0.295937i | \(0.0956319\pi\) | |||||||
\(38\) | 117815. | + | 38280.5i | 2.14709 | + | 0.697633i | ||||
\(39\) | −24166.2 | − | 34486.1i | −0.407395 | − | 0.581367i | ||||
\(40\) | 55993.2 | − | 40681.5i | 0.874894 | − | 0.635648i | ||||
\(41\) | 18284.4 | − | 25166.3i | 0.265295 | − | 0.365147i | −0.655499 | − | 0.755196i | \(-0.727542\pi\) |
0.920794 | + | 0.390049i | \(0.127542\pi\) | |||||||
\(42\) | 17231.6 | − | 50103.7i | 0.232583 | − | 0.676272i | ||||
\(43\) | −4482.89 | −0.0563836 | −0.0281918 | − | 0.999603i | \(-0.508975\pi\) | ||||
−0.0281918 | + | 0.999603i | \(0.508975\pi\) | |||||||
\(44\) | −226633. | − | 30916.3i | −2.66051 | − | 0.362936i | ||||
\(45\) | −29276.6 | + | 8418.09i | −0.321279 | + | 0.0923796i | ||||
\(46\) | 89784.5 | + | 276328.i | 0.922418 | + | 2.83891i | ||||
\(47\) | −69320.2 | + | 95411.1i | −0.667677 | + | 0.918978i | −0.999705 | − | 0.0242912i | \(-0.992267\pi\) |
0.332028 | + | 0.943269i | \(0.392267\pi\) | |||||||
\(48\) | 6660.88 | − | 389766.i | 0.0602293 | − | 3.52436i | ||||
\(49\) | −31310.0 | + | 96362.2i | −0.266130 | + | 0.819065i | ||||
\(50\) | 202711. | + | 65864.7i | 1.62169 | + | 0.526918i | ||||
\(51\) | 166524. | + | 2845.81i | 1.25536 | + | 0.0214534i | ||||
\(52\) | −216837. | − | 157541.i | −1.54214 | − | 1.12043i | ||||
\(53\) | −100122. | + | 32531.8i | −0.672518 | + | 0.218514i | −0.625317 | − | 0.780371i | \(-0.715030\pi\) |
−0.0472013 | + | 0.998885i | \(0.515030\pi\) | |||||||
\(54\) | −108018. | + | 282321.i | −0.685984 | + | 1.79292i | ||||
\(55\) | 26309.9 | + | 49002.3i | 0.158136 | + | 0.294529i | ||||
\(56\) | − | 211641.i | − | 1.20513i | ||||||
\(57\) | −205952. | − | 70830.8i | −1.11209 | − | 0.382470i | ||||
\(58\) | 297126. | + | 215874.i | 1.52285 | + | 1.10641i | ||||
\(59\) | 16205.0 | + | 22304.3i | 0.0789031 | + | 0.108601i | 0.846644 | − | 0.532159i | \(-0.178619\pi\) |
−0.767741 | + | 0.640760i | \(0.778619\pi\) | |||||||
\(60\) | −158784. | + | 111268.i | −0.735113 | + | 0.515132i | ||||
\(61\) | 29326.2 | − | 90256.7i | 0.129201 | − | 0.397640i | −0.865442 | − | 0.501009i | \(-0.832962\pi\) |
0.994643 | + | 0.103369i | \(0.0329623\pi\) | |||||||
\(62\) | −129305. | − | 177973.i | −0.542550 | − | 0.746756i | ||||
\(63\) | −31795.8 | + | 87557.3i | −0.127159 | + | 0.350163i | ||||
\(64\) | −263660. | − | 811461.i | −1.00578 | − | 3.09548i | ||||
\(65\) | 65173.3i | 0.237317i | ||||||||
\(66\) | 545479. | + | 83929.8i | 1.89735 | + | 0.291934i | ||||
\(67\) | 481745. | 1.60174 | 0.800871 | − | 0.598836i | \(-0.204370\pi\) | ||||
0.800871 | + | 0.598836i | \(0.204370\pi\) | |||||||
\(68\) | 1.00817e6 | − | 327573.i | 3.20631 | − | 1.04179i | ||||
\(69\) | −149527. | − | 488442.i | −0.455168 | − | 1.48684i | ||||
\(70\) | −66340.8 | + | 48199.4i | −0.193414 | + | 0.140523i | ||||
\(71\) | −254376. | − | 82651.7i | −0.710724 | − | 0.230928i | −0.0687271 | − | 0.997635i | \(-0.521894\pi\) |
−0.641997 | + | 0.766707i | \(0.721894\pi\) | |||||||
\(72\) | −41256.7 | + | 1.20673e6i | −0.110534 | + | 3.23304i | ||||
\(73\) | 507.126 | − | 368.449i | 0.00130361 | − | 0.000947128i | −0.587133 | − | 0.809490i | \(-0.699744\pi\) |
0.588437 | + | 0.808543i | \(0.299744\pi\) | |||||||
\(74\) | −547616. | + | 753728.i | −1.35139 | + | 1.86003i | ||||
\(75\) | −354357. | − | 121870.i | −0.839958 | − | 0.288877i | ||||
\(76\) | −1.38620e6 | −3.15780 | ||||||||
\(77\) | 168515. | + | 22988.1i | 0.369118 | + | 0.0503537i | ||||
\(78\) | 516627. | + | 389010.i | 1.08866 | + | 0.819742i | ||||
\(79\) | 100133. | + | 308177.i | 0.203093 | + | 0.625056i | 0.999786 | + | 0.0206723i | \(0.00658066\pi\) |
−0.796693 | + | 0.604384i | \(0.793419\pi\) | |||||||
\(80\) | −354621. | + | 488094.i | −0.692619 | + | 0.953308i | ||||
\(81\) | 198361. | − | 493034.i | 0.373251 | − | 0.927731i | ||||
\(82\) | −147626. | + | 454345.i | −0.267744 | + | 0.824032i | ||||
\(83\) | 185088. | + | 60138.8i | 0.323701 | + | 0.105177i | 0.466360 | − | 0.884595i | \(-0.345565\pi\) |
−0.142659 | + | 0.989772i | \(0.545565\pi\) | |||||||
\(84\) | −10130.7 | + | 592805.i | −0.0170924 | + | 1.00017i | ||||
\(85\) | −208534. | − | 151509.i | −0.339563 | − | 0.246707i | ||||
\(86\) | 65476.0 | − | 21274.4i | 0.102941 | − | 0.0334474i | ||||
\(87\) | −515819. | − | 388402.i | −0.783320 | − | 0.589825i | ||||
\(88\) | 2.16946e6 | − | 391593.i | 3.18349 | − | 0.574629i | ||||
\(89\) | 513296.i | 0.728112i | 0.931377 | + | 0.364056i | \(0.118608\pi\) | ||||
−0.931377 | + | 0.364056i | \(0.881392\pi\) | |||||||
\(90\) | 387657. | − | 261890.i | 0.531765 | − | 0.359246i | ||||
\(91\) | 161231. | + | 117141.i | 0.213956 | + | 0.155448i | ||||
\(92\) | −1.91103e6 | − | 2.63031e6i | −2.45417 | − | 3.37788i | ||||
\(93\) | 221953. | + | 316735.i | 0.275938 | + | 0.393774i | ||||
\(94\) | 559682. | − | 1.72252e6i | 0.673841 | − | 2.07387i | ||||
\(95\) | 198125. | + | 272695.i | 0.231083 | + | 0.318059i | ||||
\(96\) | 914635. | + | 2.98773e6i | 1.03379 | + | 3.37697i | ||||
\(97\) | 359768. | + | 1.10725e6i | 0.394192 | + | 1.21320i | 0.929589 | + | 0.368597i | \(0.120162\pi\) |
−0.535398 | + | 0.844600i | \(0.679838\pi\) | |||||||
\(98\) | − | 1.55603e6i | − | 1.65325i | ||||||
\(99\) | −956352. | − | 163923.i | −0.985626 | − | 0.168941i | ||||
\(100\) | −2.38507e6 | −2.38507 | ||||||||
\(101\) | 712178. | − | 231401.i | 0.691233 | − | 0.224595i | 0.0577261 | − | 0.998332i | \(-0.481615\pi\) |
0.633506 | + | 0.773737i | \(0.281615\pi\) | |||||||
\(102\) | −2.44572e6 | + | 748709.i | −2.30466 | + | 0.705525i | ||||
\(103\) | −418895. | + | 304345.i | −0.383349 | + | 0.278519i | −0.762724 | − | 0.646724i | \(-0.776139\pi\) |
0.379376 | + | 0.925243i | \(0.376139\pi\) | |||||||
\(104\) | 2.45680e6 | + | 798261.i | 2.18408 | + | 0.709652i | ||||
\(105\) | 118066. | − | 82734.7i | 0.101989 | − | 0.0714693i | ||||
\(106\) | 1.30798e6 | − | 950301.i | 1.09820 | − | 0.797891i | ||||
\(107\) | 471960. | − | 649597.i | 0.385260 | − | 0.530264i | −0.571709 | − | 0.820457i | \(-0.693719\pi\) |
0.956968 | + | 0.290192i | \(0.0937193\pi\) | |||||||
\(108\) | 173323. | − | 3.37807e6i | 0.137589 | − | 2.68162i | ||||
\(109\) | −1.10215e6 | −0.851061 | −0.425531 | − | 0.904944i | \(-0.639913\pi\) | ||||
−0.425531 | + | 0.904944i | \(0.639913\pi\) | |||||||
\(110\) | −616826. | − | 590856.i | −0.463430 | − | 0.443919i | ||||
\(111\) | 985271. | − | 1.30849e6i | 0.720422 | − | 0.956760i | ||||
\(112\) | 570097. | + | 1.75458e6i | 0.405784 | + | 1.24887i | ||||
\(113\) | 1.11478e6 | − | 1.53436e6i | 0.772596 | − | 1.06339i | −0.223465 | − | 0.974712i | \(-0.571737\pi\) |
0.996061 | − | 0.0886748i | \(-0.0282632\pi\) | |||||||
\(114\) | 3.34423e6 | + | 57151.0i | 2.25726 | + | 0.0385753i | ||||
\(115\) | −244301. | + | 751883.i | −0.160632 | + | 0.494375i | ||||
\(116\) | −3.90859e6 | − | 1.26998e6i | −2.50407 | − | 0.813620i | ||||
\(117\) | −896468. | − | 699343.i | −0.559728 | − | 0.436649i | ||||
\(118\) | −342536. | − | 248867.i | −0.208478 | − | 0.151468i | ||||
\(119\) | −749631. | + | 243570.i | −0.444843 | + | 0.144538i | ||||
\(120\) | 1.12407e6 | − | 1.49283e6i | 0.650504 | − | 0.863905i | ||||
\(121\) | 76154.9 | + | 1.76992e6i | 0.0429875 | + | 0.999076i | ||||
\(122\) | 1.45744e6i | 0.802622i | ||||||||
\(123\) | 273153. | − | 794237.i | 0.146788 | − | 0.426810i | ||||
\(124\) | 1.99152e6 | + | 1.44692e6i | 1.04453 | + | 0.758892i | ||||
\(125\) | 724669. | + | 997421.i | 0.371030 | + | 0.510680i | ||||
\(126\) | 48881.0 | − | 1.42973e6i | 0.0244359 | − | 0.714732i | ||||
\(127\) | 516908. | − | 1.59088e6i | 0.252349 | − | 0.776652i | −0.741991 | − | 0.670410i | \(-0.766118\pi\) |
0.994340 | − | 0.106242i | \(-0.0338818\pi\) | |||||||
\(128\) | 3.34850e6 | + | 4.60881e6i | 1.59669 | + | 2.19765i | ||||
\(129\) | −115736. | + | 35430.4i | −0.0539139 | + | 0.0165047i | ||||
\(130\) | −309293. | − | 951905.i | −0.140780 | − | 0.433275i | ||||
\(131\) | 2.60139e6i | 1.15716i | 0.815627 | + | 0.578578i | \(0.196392\pi\) | ||||
−0.815627 | + | 0.578578i | \(0.803608\pi\) | |||||||
\(132\) | −6.09540e6 | + | 993007.i | −2.65021 | + | 0.431748i | ||||
\(133\) | 1.03072e6 | 0.438113 | ||||||||
\(134\) | −7.03625e6 | + | 2.28621e6i | −2.92433 | + | 0.950173i | ||||
\(135\) | −689311. | + | 448719.i | −0.280165 | + | 0.182378i | ||||
\(136\) | −8.26553e6 | + | 6.00526e6i | −3.28590 | + | 2.38734i | ||||
\(137\) | 1.92209e6 | + | 624526.i | 0.747503 | + | 0.242879i | 0.657907 | − | 0.753100i | \(-0.271442\pi\) |
0.0895967 | + | 0.995978i | \(0.471442\pi\) | |||||||
\(138\) | 4.50195e6 | + | 6.42445e6i | 1.71302 | + | 2.44455i | ||||
\(139\) | 792082. | − | 575481.i | 0.294935 | − | 0.214283i | −0.430471 | − | 0.902605i | \(-0.641652\pi\) |
0.725405 | + | 0.688322i | \(0.241652\pi\) | |||||||
\(140\) | 539353. | − | 742355.i | 0.196557 | − | 0.270538i | ||||
\(141\) | −1.03558e6 | + | 3.01113e6i | −0.369427 | + | 1.07417i | ||||
\(142\) | 4.10759e6 | 1.43457 | ||||||||
\(143\) | −902454. | + | 1.86947e6i | −0.308615 | + | 0.639308i | ||||
\(144\) | −2.90854e6 | − | 1.01154e7i | −0.974063 | − | 3.38761i | ||||
\(145\) | 308809. | + | 950416.i | 0.101295 | + | 0.311752i | ||||
\(146\) | −5658.41 | + | 7788.14i | −0.00181818 | + | 0.00250250i | ||||
\(147\) | −46744.3 | + | 2.73527e6i | −0.0147156 | + | 0.861090i | ||||
\(148\) | 3.22159e6 | − | 9.91504e6i | 0.993768 | − | 3.05850i | ||||
\(149\) | 116753. | + | 37935.4i | 0.0352947 | + | 0.0114679i | 0.326611 | − | 0.945159i | \(-0.394093\pi\) |
−0.291316 | + | 0.956627i | \(0.594093\pi\) | |||||||
\(150\) | 5.75401e6 | + | 98332.9i | 1.70489 | + | 0.0291357i | ||||
\(151\) | −4.47352e6 | − | 3.25020e6i | −1.29933 | − | 0.944016i | −0.299378 | − | 0.954135i | \(-0.596779\pi\) |
−0.999949 | + | 0.0101185i | \(0.996779\pi\) | |||||||
\(152\) | 1.27063e7 | − | 4.12853e6i | 3.61817 | − | 1.17561i | ||||
\(153\) | 4.32171e6 | − | 1.24265e6i | 1.20665 | − | 0.346956i | ||||
\(154\) | −2.57038e6 | + | 463961.i | −0.703776 | + | 0.127034i | ||||
\(155\) | − | 598578.i | − | 0.160741i | ||||||
\(156\) | −6.84328e6 | − | 2.35353e6i | −1.80256 | − | 0.619935i | ||||
\(157\) | 3.22678e6 | + | 2.34439e6i | 0.833816 | + | 0.605803i | 0.920636 | − | 0.390421i | \(-0.127671\pi\) |
−0.0868203 | + | 0.996224i | \(0.527671\pi\) | |||||||
\(158\) | −2.92503e6 | − | 4.02596e6i | −0.741581 | − | 1.02070i | ||||
\(159\) | −2.32778e6 | + | 1.63120e6i | −0.579097 | + | 0.405803i | ||||
\(160\) | 1.49436e6 | − | 4.59916e6i | 0.364833 | − | 1.12284i | ||||
\(161\) | 1.42097e6 | + | 1.95579e6i | 0.340491 | + | 0.468646i | ||||
\(162\) | −557417. | + | 8.14249e6i | −0.131110 | + | 1.91519i | ||||
\(163\) | −945419. | − | 2.90970e6i | −0.218304 | − | 0.671870i | −0.998903 | − | 0.0468377i | \(-0.985086\pi\) |
0.780599 | − | 0.625033i | \(-0.214914\pi\) | |||||||
\(164\) | − | 5.34577e6i | − | 1.21193i | ||||||
\(165\) | 1.06654e6 | + | 1.05717e6i | 0.237424 | + | 0.235338i | ||||
\(166\) | −2.98875e6 | −0.653380 | ||||||||
\(167\) | −729534. | + | 237040.i | −0.156638 | + | 0.0508946i | −0.386286 | − | 0.922379i | \(-0.626242\pi\) |
0.229649 | + | 0.973274i | \(0.426242\pi\) | |||||||
\(168\) | −1.67270e6 | − | 5.46400e6i | −0.352768 | − | 1.15235i | ||||
\(169\) | 1.93703e6 | − | 1.40733e6i | 0.401306 | − | 0.291566i | ||||
\(170\) | 3.76482e6 | + | 1.22326e6i | 0.766297 | + | 0.248985i | ||||
\(171\) | −5.87695e6 | − | 200926.i | −1.17534 | − | 0.0401836i | ||||
\(172\) | −623252. | + | 452819.i | −0.122484 | + | 0.0889897i | ||||
\(173\) | 336444. | − | 463075.i | 0.0649792 | − | 0.0894362i | −0.775291 | − | 0.631605i | \(-0.782397\pi\) |
0.840270 | + | 0.542169i | \(0.182397\pi\) | |||||||
\(174\) | 9.37715e6 | + | 3.22498e6i | 1.78001 | + | 0.612180i | ||||
\(175\) | 1.77344e6 | 0.330904 | ||||||||
\(176\) | −1.69308e7 | + | 9.09034e6i | −3.10555 | + | 1.66741i | ||||
\(177\) | 594652. | + | 447762.i | 0.107237 | + | 0.0807472i | ||||
\(178\) | −2.43595e6 | − | 7.49708e6i | −0.431925 | − | 1.32933i | ||||
\(179\) | 776704. | − | 1.06904e6i | 0.135424 | − | 0.186395i | −0.735919 | − | 0.677070i | \(-0.763250\pi\) |
0.871343 | + | 0.490674i | \(0.163250\pi\) | |||||||
\(180\) | −3.21998e6 | + | 4.12760e6i | −0.552123 | + | 0.707751i | ||||
\(181\) | −957882. | + | 2.94806e6i | −0.161539 | + | 0.497165i | −0.998765 | − | 0.0496924i | \(-0.984176\pi\) |
0.837226 | + | 0.546857i | \(0.184176\pi\) | |||||||
\(182\) | −2.91082e6 | − | 945781.i | −0.482837 | − | 0.156883i | ||||
\(183\) | 43782.6 | − | 2.56197e6i | 0.00714412 | − | 0.418043i | ||||
\(184\) | 2.53510e7 | + | 1.84185e7i | 4.06950 | + | 2.95666i | ||||
\(185\) | −2.41095e6 | + | 783366.i | −0.380779 | + | 0.123723i | ||||
\(186\) | −4.74491e6 | − | 3.57283e6i | −0.737376 | − | 0.555230i | ||||
\(187\) | −3.88378e6 | − | 7.23355e6i | −0.593922 | − | 1.10618i | ||||
\(188\) | 2.02670e7i | 3.05011i | ||||||||
\(189\) | −128876. | + | 2.51179e6i | −0.0190891 | + | 0.372048i | ||||
\(190\) | −4.18789e6 | − | 3.04268e6i | −0.610569 | − | 0.443604i | ||||
\(191\) | 320815. | + | 441564.i | 0.0460421 | + | 0.0633715i | 0.831417 | − | 0.555649i | \(-0.187530\pi\) |
−0.785375 | + | 0.619020i | \(0.787530\pi\) | |||||||
\(192\) | −1.32204e7 | − | 1.88659e7i | −1.86784 | − | 2.66548i | ||||
\(193\) | 203998. | − | 627840.i | 0.0283761 | − | 0.0873327i | −0.935865 | − | 0.352357i | \(-0.885380\pi\) |
0.964242 | + | 0.265025i | \(0.0853801\pi\) | |||||||
\(194\) | −1.05094e7 | − | 1.44649e7i | −1.43937 | − | 1.98112i | ||||
\(195\) | 515096. | + | 1.68260e6i | 0.0694679 | + | 0.226922i | ||||
\(196\) | 5.38060e6 | + | 1.65598e7i | 0.714600 | + | 2.19931i | ||||
\(197\) | − | 4.65950e6i | − | 0.609454i | −0.952440 | − | 0.304727i | \(-0.901435\pi\) | ||
0.952440 | − | 0.304727i | \(-0.0985652\pi\) | |||||||
\(198\) | 1.47462e7 | − | 2.14434e6i | 1.89969 | − | 0.276247i | ||||
\(199\) | −5.84397e6 | −0.741564 | −0.370782 | − | 0.928720i | \(-0.620910\pi\) | ||||
−0.370782 | + | 0.928720i | \(0.620910\pi\) | |||||||
\(200\) | 2.18622e7 | − | 7.10347e6i | 2.73278 | − | 0.887934i | ||||
\(201\) | 1.24374e7 | − | 3.80746e6i | 1.53158 | − | 0.468864i | ||||
\(202\) | −9.30373e6 | + | 6.75956e6i | −1.12876 | + | 0.820095i | ||||
\(203\) | 2.90626e6 | + | 944302.i | 0.347414 | + | 0.112882i | ||||
\(204\) | 2.34392e7 | − | 1.64251e7i | 2.76091 | − | 1.93471i | ||||
\(205\) | −1.05163e6 | + | 764052.i | −0.122068 | + | 0.0886873i | ||||
\(206\) | 4.67395e6 | − | 6.43314e6i | 0.534666 | − | 0.735904i | ||||
\(207\) | −7.72077e6 | − | 1.14285e7i | −0.870462 | − | 1.28848i | ||||
\(208\) | −2.25180e7 | −2.50231 | ||||||||
\(209\) | 1.90712e6 | + | 1.05656e7i | 0.208900 | + | 1.15732i | ||||
\(210\) | −1.33180e6 | + | 1.76870e6i | −0.143807 | + | 0.190984i | ||||
\(211\) | −5.10709e6 | − | 1.57180e7i | −0.543658 | − | 1.67321i | −0.724160 | − | 0.689632i | \(-0.757772\pi\) |
0.180502 | − | 0.983575i | \(-0.442228\pi\) | |||||||
\(212\) | −1.06339e7 | + | 1.46363e7i | −1.11605 | + | 1.53611i | ||||
\(213\) | −7.22054e6 | − | 123395.i | −0.747190 | − | 0.0127691i | ||||
\(214\) | −3.81053e6 | + | 1.17276e7i | −0.388816 | + | 1.19665i | ||||
\(215\) | 178159. | + | 57887.2i | 0.0179263 | + | 0.00582462i | ||||
\(216\) | 8.47220e6 | + | 3.14806e7i | 0.840688 | + | 3.12379i | ||||
\(217\) | −1.48081e6 | − | 1.07587e6i | −0.144917 | − | 0.105289i | ||||
\(218\) | 1.60977e7 | − | 5.23046e6i | 1.55380 | − | 0.504860i | ||||
\(219\) | 10180.6 | − | 13520.4i | 0.000969264 | − | 0.00128724i | ||||
\(220\) | 8.60759e6 | + | 4.15517e6i | 0.808376 | + | 0.390230i | ||||
\(221\) | − | 9.62066e6i | − | 0.891309i | ||||||
\(222\) | −8.18091e6 | + | 2.37873e7i | −0.747726 | + | 2.17414i | ||||
\(223\) | 1.67059e6 | + | 1.21376e6i | 0.150645 | + | 0.109450i | 0.660555 | − | 0.750778i | \(-0.270321\pi\) |
−0.509909 | + | 0.860228i | \(0.670321\pi\) | |||||||
\(224\) | −8.69184e6 | − | 1.19633e7i | −0.773335 | − | 1.06440i | ||||
\(225\) | −1.01118e7 | − | 345710.i | −0.887727 | − | 0.0303504i | ||||
\(226\) | −9.00054e6 | + | 2.77008e7i | −0.779729 | + | 2.39976i | ||||
\(227\) | −6.17568e6 | − | 8.50010e6i | −0.527968 | − | 0.726686i | 0.458851 | − | 0.888513i | \(-0.348261\pi\) |
−0.986819 | + | 0.161828i | \(0.948261\pi\) | |||||||
\(228\) | −3.57880e7 | + | 1.09558e7i | −3.01949 | + | 0.924356i | ||||
\(229\) | −5.79303e6 | − | 1.78291e7i | −0.482391 | − | 1.48465i | −0.835724 | − | 0.549149i | \(-0.814952\pi\) |
0.353333 | − | 0.935497i | \(-0.385048\pi\) | |||||||
\(230\) | − | 1.21412e7i | − | 0.997878i | ||||||
\(231\) | 4.53229e6 | − | 738359.i | 0.367690 | − | 0.0599007i | ||||
\(232\) | 3.96096e7 | 3.17202 | ||||||||
\(233\) | 1.75604e7 | − | 5.70572e6i | 1.38825 | − | 0.451069i | 0.482875 | − | 0.875689i | \(-0.339592\pi\) |
0.905372 | + | 0.424620i | \(0.139592\pi\) | |||||||
\(234\) | 1.64125e7 | + | 5.96006e6i | 1.28093 | + | 0.465161i | ||||
\(235\) | 3.98695e6 | − | 2.89669e6i | 0.307212 | − | 0.223202i | ||||
\(236\) | 4.50594e6 | + | 1.46407e6i | 0.342807 | + | 0.111385i | ||||
\(237\) | 5.02083e6 | + | 7.16492e6i | 0.377164 | + | 0.538228i | ||||
\(238\) | 9.79301e6 | − | 7.11504e6i | 0.726416 | − | 0.527772i | ||||
\(239\) | −1.02794e7 | + | 1.41483e7i | −0.752961 | + | 1.03636i | 0.244806 | + | 0.969572i | \(0.421276\pi\) |
−0.997767 | + | 0.0667901i | \(0.978724\pi\) | |||||||
\(240\) | −5.29773e6 | + | 1.54040e7i | −0.383227 | + | 1.11430i | ||||
\(241\) | 2.29976e7 | 1.64298 | 0.821488 | − | 0.570226i | \(-0.193144\pi\) | ||||
0.821488 | + | 0.570226i | \(0.193144\pi\) | |||||||
\(242\) | −9.51182e6 | − | 2.54896e7i | −0.671146 | − | 1.79853i | ||||
\(243\) | 1.22446e6 | − | 1.42966e7i | 0.0853350 | − | 0.996352i | ||||
\(244\) | −5.03969e6 | − | 1.55106e7i | −0.346924 | − | 1.06772i | ||||
\(245\) | 2.48864e6 | − | 3.42531e6i | 0.169224 | − | 0.232918i | ||||
\(246\) | −220398. | + | 1.28967e7i | −0.0148048 | + | 0.866312i | ||||
\(247\) | −3.88765e6 | + | 1.19650e7i | −0.257986 | + | 0.794001i | ||||
\(248\) | −2.25642e7 | − | 7.33156e6i | −1.47933 | − | 0.480664i | ||||
\(249\) | 5.25379e6 | + | 89784.4i | 0.340310 | + | 0.00581571i | ||||
\(250\) | −1.53178e7 | − | 1.11290e7i | −0.980338 | − | 0.712257i | ||||
\(251\) | −1.88585e7 | + | 6.12751e6i | −1.19258 | + | 0.387492i | −0.837026 | − | 0.547164i | \(-0.815707\pi\) |
−0.355553 | + | 0.934656i | \(0.615707\pi\) | |||||||
\(252\) | 4.42367e6 | + | 1.53847e7i | 0.276428 | + | 0.961364i | ||||
\(253\) | −1.74190e7 | + | 1.81846e7i | −1.07563 | + | 1.12290i | ||||
\(254\) | 2.56891e7i | 1.56764i | ||||||||
\(255\) | −6.58125e6 | − | 2.26342e6i | −0.396906 | − | 0.136504i | ||||
\(256\) | −2.66020e7 | − | 1.93275e7i | −1.58560 | − | 1.15201i | ||||
\(257\) | 839502. | + | 1.15548e6i | 0.0494564 | + | 0.0680709i | 0.833029 | − | 0.553229i | \(-0.186605\pi\) |
−0.783573 | + | 0.621300i | \(0.786605\pi\) | |||||||
\(258\) | 1.52227e6 | − | 1.06674e6i | 0.0886408 | − | 0.0621152i | ||||
\(259\) | −2.39544e6 | + | 7.37241e6i | −0.137875 | + | 0.424336i | ||||
\(260\) | 6.58319e6 | + | 9.06099e6i | 0.374556 | + | 0.515532i | ||||
\(261\) | −1.63868e7 | − | 5.95074e6i | −0.921664 | − | 0.334695i | ||||
\(262\) | −1.23454e7 | − | 3.79953e7i | −0.686438 | − | 2.11264i | ||||
\(263\) | 1.03039e7i | 0.566414i | 0.959059 | + | 0.283207i | \(0.0913984\pi\) | ||||
−0.959059 | + | 0.283207i | \(0.908602\pi\) | |||||||
\(264\) | 5.29147e7 | − | 2.72562e7i | 2.87584 | − | 1.48133i | ||||
\(265\) | 4.39914e6 | 0.236391 | ||||||||
\(266\) | −1.50545e7 | + | 4.89149e6i | −0.799872 | + | 0.259894i | ||||
\(267\) | 4.05682e6 | + | 1.32519e7i | 0.213134 | + | 0.696219i | ||||
\(268\) | 6.69766e7 | − | 4.86613e7i | 3.47951 | − | 2.52802i | ||||
\(269\) | 2.53170e7 | + | 8.22599e6i | 1.30063 | + | 0.422602i | 0.875802 | − | 0.482671i | \(-0.160333\pi\) |
0.424832 | + | 0.905272i | \(0.360333\pi\) | |||||||
\(270\) | 7.93842e6 | − | 9.82514e6i | 0.403314 | − | 0.499169i | ||||
\(271\) | 9.57678e6 | − | 6.95794e6i | 0.481185 | − | 0.349601i | −0.320599 | − | 0.947215i | \(-0.603884\pi\) |
0.801784 | + | 0.597614i | \(0.203884\pi\) | |||||||
\(272\) | 5.23479e7 | − | 7.20507e7i | 2.60131 | − | 3.58040i | ||||
\(273\) | 5.08838e6 | + | 1.74999e6i | 0.250087 | + | 0.0860097i | ||||
\(274\) | −3.10374e7 | −1.50881 | ||||||||
\(275\) | 3.28135e6 | + | 1.81790e7i | 0.157781 | + | 0.874120i | ||||
\(276\) | −7.01264e7 | − | 5.28038e7i | −3.33545 | − | 2.51153i | ||||
\(277\) | 1.08080e7 | + | 3.32637e7i | 0.508520 | + | 1.56506i | 0.794772 | + | 0.606909i | \(0.207591\pi\) |
−0.286252 | + | 0.958154i | \(0.592409\pi\) | |||||||
\(278\) | −8.83789e6 | + | 1.21643e7i | −0.411353 | + | 0.566178i | ||||
\(279\) | 8.23353e6 | + | 6.42305e6i | 0.379117 | + | 0.295753i | ||||
\(280\) | −2.73290e6 | + | 8.41100e6i | −0.124494 | + | 0.383154i | ||||
\(281\) | −7.12384e6 | − | 2.31468e6i | −0.321067 | − | 0.104321i | 0.144050 | − | 0.989570i | \(-0.453988\pi\) |
−0.465116 | + | 0.885250i | \(0.653988\pi\) | |||||||
\(282\) | 835578. | − | 4.88944e7i | 0.0372597 | − | 2.18028i | ||||
\(283\) | 7.71161e6 | + | 5.60281e6i | 0.340240 | + | 0.247199i | 0.744763 | − | 0.667329i | \(-0.232562\pi\) |
−0.404523 | + | 0.914528i | \(0.632562\pi\) | |||||||
\(284\) | −4.37144e7 | + | 1.42037e7i | −1.90840 | + | 0.620076i | ||||
\(285\) | 7.27030e6 | + | 5.47440e6i | 0.314064 | + | 0.236484i | ||||
\(286\) | 4.30908e6 | − | 3.15878e7i | 0.184199 | − | 1.35027i | ||||
\(287\) | 3.97489e6i | 0.168143i | ||||||||
\(288\) | 4.72269e7 | + | 6.99064e7i | 1.97702 | + | 2.92644i | ||||
\(289\) | 1.12554e7 | + | 8.17755e6i | 0.466304 | + | 0.338789i | ||||
\(290\) | −9.02077e6 | − | 1.24160e7i | −0.369870 | − | 0.509083i | ||||
\(291\) | 1.80394e7 | + | 2.57429e7i | 0.732054 | + | 1.04467i | ||||
\(292\) | 33288.1 | − | 102450.i | 0.00133703 | − | 0.00411495i | ||||
\(293\) | −9.51969e6 | − | 1.31027e7i | −0.378460 | − | 0.520906i | 0.576716 | − | 0.816945i | \(-0.304334\pi\) |
−0.955176 | + | 0.296039i | \(0.904334\pi\) | |||||||
\(294\) | −1.22980e7 | − | 4.01725e7i | −0.483943 | − | 1.58084i | ||||
\(295\) | −356005. | − | 1.09567e6i | −0.0138672 | − | 0.0426790i | ||||
\(296\) | 1.00479e8i | 3.87436i | ||||||||
\(297\) | −2.59860e7 | + | 3.32645e6i | −0.991906 | + | 0.126973i | ||||
\(298\) | −1.88530e6 | −0.0712411 | ||||||||
\(299\) | −2.80631e7 | + | 9.11824e6i | −1.04984 | + | 0.341112i | ||||
\(300\) | −6.15762e7 | + | 1.88503e7i | −2.28060 | + | 0.698161i | ||||
\(301\) | 463425. | − | 336698.i | 0.0169934 | − | 0.0123464i | ||||
\(302\) | 8.07635e7 | + | 2.62417e7i | 2.93221 | + | 0.952731i | ||||
\(303\) | 1.65577e7 | − | 1.16028e7i | 0.595211 | − | 0.417096i | ||||
\(304\) | −9.42190e7 | + | 6.84541e7i | −3.35365 | + | 2.43657i | ||||
\(305\) | −2.33096e6 | + | 3.20829e6i | −0.0821552 | + | 0.113077i | ||||
\(306\) | −5.72246e7 | + | 3.86594e7i | −1.99718 | + | 1.34924i | ||||
\(307\) | 4.31477e6 | 0.149122 | 0.0745611 | − | 0.997216i | \(-0.476244\pi\) | ||||
0.0745611 | + | 0.997216i | \(0.476244\pi\) | |||||||
\(308\) | 2.57505e7 | − | 1.38257e7i | 0.881320 | − | 0.473191i | ||||
\(309\) | −8.40938e6 | + | 1.11681e7i | −0.285029 | + | 0.378534i | ||||
\(310\) | 2.84067e6 | + | 8.74268e6i | 0.0953533 | + | 0.293467i | ||||
\(311\) | 3.49458e7 | − | 4.80988e7i | 1.16175 | − | 1.59902i | 0.457209 | − | 0.889359i | \(-0.348849\pi\) |
0.704545 | − | 0.709659i | \(-0.251151\pi\) | |||||||
\(312\) | 6.97370e7 | + | 1.19177e6i | 2.29615 | + | 0.0392399i | ||||
\(313\) | −1.09361e7 | + | 3.36579e7i | −0.356640 | + | 1.09763i | 0.598412 | + | 0.801189i | \(0.295799\pi\) |
−0.955052 | + | 0.296437i | \(0.904201\pi\) | |||||||
\(314\) | −5.82553e7 | − | 1.89283e7i | −1.88168 | − | 0.611396i | ||||
\(315\) | 2.39425e6 | − | 3.06912e6i | 0.0766015 | − | 0.0981933i | ||||
\(316\) | 4.50505e7 | + | 3.27311e7i | 1.42771 | + | 1.03729i | ||||
\(317\) | 1.35984e7 | − | 4.41840e6i | 0.426885 | − | 0.138703i | −0.0876917 | − | 0.996148i | \(-0.527949\pi\) |
0.514577 | + | 0.857444i | \(0.327949\pi\) | |||||||
\(318\) | 2.62578e7 | − | 3.48718e7i | 0.816540 | − | 1.08441i | ||||
\(319\) | −4.30234e6 | + | 3.15384e7i | −0.132536 | + | 0.971555i | ||||
\(320\) | 3.56536e7i | 1.08806i | ||||||||
\(321\) | 7.05067e6 | − | 2.05010e7i | 0.213165 | − | 0.619811i | ||||
\(322\) | −3.00359e7 | − | 2.18223e7i | −0.899647 | − | 0.653632i | ||||
\(323\) | −2.92465e7 | − | 4.02544e7i | −0.867894 | − | 1.19455i | ||||
\(324\) | −2.22237e7 | − | 8.85826e7i | −0.653404 | − | 2.60443i | ||||
\(325\) | −6.68903e6 | + | 2.05867e7i | −0.194856 | + | 0.599704i | ||||
\(326\) | 2.76171e7 | + | 3.80117e7i | 0.797123 | + | 1.09715i | ||||
\(327\) | −2.84546e7 | + | 8.71081e6i | −0.813783 | + | 0.249124i | ||||
\(328\) | 1.59213e7 | + | 4.90008e7i | 0.451189 | + | 1.38862i | ||||
\(329\) | − | 1.50697e7i | − | 0.423172i | ||||||
\(330\) | −2.05946e7 | − | 1.03793e7i | −0.573075 | − | 0.288818i | ||||
\(331\) | 1.92679e7 | 0.531313 | 0.265656 | − | 0.964068i | \(-0.414411\pi\) | ||||
0.265656 | + | 0.964068i | \(0.414411\pi\) | |||||||
\(332\) | 3.18073e7 | − | 1.03348e7i | 0.869186 | − | 0.282416i | ||||
\(333\) | 1.50954e7 | − | 4.15689e7i | 0.408802 | − | 1.12573i | ||||
\(334\) | 9.53047e6 | − | 6.92429e6i | 0.255785 | − | 0.185839i | ||||
\(335\) | −1.91455e7 | − | 6.22074e6i | −0.509251 | − | 0.165466i | ||||
\(336\) | 2.85857e7 | + | 4.07928e7i | 0.753582 | + | 1.07539i | ||||
\(337\) | 4.07626e7 | − | 2.96158e7i | 1.06506 | − | 0.773808i | 0.0900382 | − | 0.995938i | \(-0.471301\pi\) |
0.975017 | + | 0.222130i | \(0.0713011\pi\) | |||||||
\(338\) | −2.16130e7 | + | 2.97477e7i | −0.559711 | + | 0.770377i | ||||
\(339\) | 1.66538e7 | − | 4.84236e7i | 0.427478 | − | 1.24296i | ||||
\(340\) | −4.42964e7 | −1.12702 | ||||||||
\(341\) | 8.28851e6 | − | 1.71700e7i | 0.209032 | − | 0.433018i | ||||
\(342\) | 8.67907e7 | − | 2.49555e7i | 2.16968 | − | 0.623862i | ||||
\(343\) | −8.64631e6 | − | 2.66106e7i | −0.214264 | − | 0.659436i | ||||
\(344\) | 4.36428e6 | − | 6.00691e6i | 0.107210 | − | 0.147562i | ||||
\(345\) | −364731. | + | 2.13424e7i | −0.00888209 | + | 0.519741i | ||||
\(346\) | −2.71640e6 | + | 8.36022e6i | −0.0655791 | + | 0.201832i | ||||
\(347\) | 4.67066e7 | + | 1.51759e7i | 1.11787 | + | 0.363217i | 0.808953 | − | 0.587874i | \(-0.200035\pi\) |
0.308913 | + | 0.951090i | \(0.400035\pi\) | |||||||
\(348\) | −1.10947e8 | − | 1.89602e6i | −2.63255 | − | 0.0449888i | ||||
\(349\) | −6.83244e7 | − | 4.96406e7i | −1.60731 | − | 1.16778i | −0.871217 | − | 0.490899i | \(-0.836668\pi\) |
−0.736093 | − | 0.676880i | \(-0.763332\pi\) | |||||||
\(350\) | −2.59024e7 | + | 8.41621e6i | −0.604138 | + | 0.196296i | ||||
\(351\) | −2.86717e7 | − | 1.09700e7i | −0.663028 | − | 0.253679i | ||||
\(352\) | 1.06550e8 | − | 1.11233e8i | 2.44300 | − | 2.55038i | ||||
\(353\) | 1.81354e7i | 0.412290i | 0.978522 | + | 0.206145i | \(0.0660918\pi\) | ||||
−0.978522 | + | 0.206145i | \(0.933908\pi\) | |||||||
\(354\) | −1.08103e7 | − | 3.71786e6i | −0.243684 | − | 0.0838076i | ||||
\(355\) | 9.04211e6 | + | 6.56948e6i | 0.202109 | + | 0.146840i | ||||
\(356\) | 5.18484e7 | + | 7.13631e7i | 1.14917 | + | 1.58170i | ||||
\(357\) | −1.74284e7 | + | 1.22130e7i | −0.383048 | + | 0.268422i | ||||
\(358\) | −6.27100e6 | + | 1.93001e7i | −0.136675 | + | 0.420641i | ||||
\(359\) | −5.46609e6 | − | 7.52343e6i | −0.118139 | − | 0.162605i | 0.745852 | − | 0.666112i | \(-0.232043\pi\) |
−0.863991 | + | 0.503507i | \(0.832043\pi\) | |||||||
\(360\) | 1.72220e7 | − | 4.74249e7i | 0.369127 | − | 1.01648i | ||||
\(361\) | 5.56860e6 | + | 1.71384e7i | 0.118365 | + | 0.364291i | ||||
\(362\) | − | 4.76044e7i | − | 1.00351i | ||||||
\(363\) | 1.59547e7 | + | 4.50928e7i | 0.333555 | + | 0.942731i | ||||
\(364\) | 3.42483e7 | 0.710125 | ||||||||
\(365\) | −24911.9 | + | 8094.37i | −0.000512305 | + | 0.000166458i | ||||
\(366\) | 1.15188e7 | + | 3.76272e7i | 0.234945 | + | 0.767466i | ||||
\(367\) | −6.65965e7 | + | 4.83852e7i | −1.34727 | + | 0.978846i | −0.348123 | + | 0.937449i | \(0.613181\pi\) |
−0.999143 | + | 0.0413967i | \(0.986819\pi\) | |||||||
\(368\) | −2.59783e8 | − | 8.44086e7i | −5.21275 | − | 1.69373i | ||||
\(369\) | 774856. | − | 2.26640e7i | 0.0154220 | − | 0.451083i | ||||
\(370\) | 3.14961e7 | − | 2.28833e7i | 0.621802 | − | 0.451766i | ||||
\(371\) | 7.90692e6 | − | 1.08829e7i | 0.154841 | − | 0.213120i | ||||
\(372\) | 6.28514e7 | + | 2.16158e7i | 1.22092 | + | 0.419896i | ||||
\(373\) | 2.35364e7 | 0.453538 | 0.226769 | − | 0.973949i | \(-0.427184\pi\) | ||||
0.226769 | + | 0.973949i | \(0.427184\pi\) | |||||||
\(374\) | 9.10537e7 | + | 8.72202e7i | 1.74054 | + | 1.66726i | ||||
\(375\) | 2.65921e7 | + | 2.00234e7i | 0.504265 | + | 0.379702i | ||||
\(376\) | −6.03613e7 | − | 1.85773e8i | −1.13552 | − | 3.49478i | ||||
\(377\) | −2.19236e7 | + | 3.01752e7i | −0.409154 | + | 0.563153i | ||||
\(378\) | −1.00379e7 | − | 3.72982e7i | −0.185852 | − | 0.690578i | ||||
\(379\) | −6.35134e6 | + | 1.95474e7i | −0.116667 | + | 0.359064i | −0.992291 | − | 0.123929i | \(-0.960450\pi\) |
0.875624 | + | 0.482993i | \(0.160450\pi\) | |||||||
\(380\) | 5.50902e7 | + | 1.78999e7i | 1.00398 | + | 0.326212i | ||||
\(381\) | 771720. | − | 4.51577e7i | 0.0139536 | − | 0.816501i | ||||
\(382\) | −6.78128e6 | − | 4.92689e6i | −0.121653 | − | 0.0883858i | ||||
\(383\) | −5.38491e7 | + | 1.74966e7i | −0.958477 | + | 0.311428i | −0.746156 | − | 0.665772i | \(-0.768102\pi\) |
−0.212322 | + | 0.977200i | \(0.568102\pi\) | |||||||
\(384\) | 1.22875e8 | + | 9.25225e7i | 2.17005 | + | 1.63401i | ||||
\(385\) | −6.40025e6 | − | 3.08961e6i | −0.112154 | − | 0.0541404i | ||||
\(386\) | 1.01382e7i | 0.176278i | ||||||||
\(387\) | −2.70798e6 | + | 1.82944e6i | −0.0467211 | + | 0.0315635i | ||||
\(388\) | 1.61862e8 | + | 1.17600e8i | 2.77109 | + | 2.01332i | ||||
\(389\) | −1.19231e7 | − | 1.64107e7i | −0.202553 | − | 0.278790i | 0.695641 | − | 0.718390i | \(-0.255120\pi\) |
−0.898194 | + | 0.439599i | \(0.855120\pi\) | |||||||
\(390\) | −1.55085e7 | − | 2.21312e7i | −0.261442 | − | 0.373087i | ||||
\(391\) | 3.60630e7 | − | 1.10990e8i | 0.603297 | − | 1.85676i | ||||
\(392\) | −9.86403e7 | − | 1.35767e8i | −1.63756 | − | 2.25390i | ||||
\(393\) | 2.05600e7 | + | 6.71610e7i | 0.338724 | + | 1.10647i | ||||
\(394\) | 2.21126e7 | + | 6.80555e7i | 0.361535 | + | 1.11269i | ||||
\(395\) | − | 1.35406e7i | − | 0.219708i | ||||||
\(396\) | −1.49519e8 | + | 7.38116e7i | −2.40774 | + | 1.18861i | ||||
\(397\) | 2.43147e7 | 0.388595 | 0.194298 | − | 0.980943i | \(-0.437757\pi\) | ||||
0.194298 | + | 0.980943i | \(0.437757\pi\) | |||||||
\(398\) | 8.53555e7 | − | 2.77337e7i | 1.35389 | − | 0.439905i | ||||
\(399\) | 2.66105e7 | − | 8.14628e6i | 0.418923 | − | 0.128245i | ||||
\(400\) | −1.62111e8 | + | 1.17781e8i | −2.53299 | + | 1.84033i | ||||
\(401\) | 3.95975e7 | + | 1.28660e7i | 0.614094 | + | 0.199531i | 0.599516 | − | 0.800363i | \(-0.295360\pi\) |
0.0145774 | + | 0.999894i | \(0.495360\pi\) | |||||||
\(402\) | −1.63588e8 | + | 1.14635e8i | −2.51810 | + | 1.76457i | ||||
\(403\) | 1.80744e7 | − | 1.31318e7i | 0.276152 | − | 0.200636i | ||||
\(404\) | 7.56395e7 | − | 1.04109e8i | 1.14711 | − | 1.57886i | ||||
\(405\) | −1.42497e7 | + | 1.70327e7i | −0.214507 | + | 0.256400i | ||||
\(406\) | −4.69295e7 | −0.701242 | ||||||||
\(407\) | −8.00044e7 | − | 1.09139e7i | −1.18667 | − | 0.161881i | ||||
\(408\) | −1.65932e8 | + | 2.20366e8i | −2.44314 | + | 3.24462i | ||||
\(409\) | −1.06532e7 | − | 3.27871e7i | −0.155707 | − | 0.479218i | 0.842525 | − | 0.538658i | \(-0.181068\pi\) |
−0.998232 | + | 0.0594402i | \(0.981068\pi\) | |||||||
\(410\) | 1.17338e7 | − | 1.61503e7i | 0.170251 | − | 0.234330i | ||||
\(411\) | 5.45593e7 | + | 932389.i | 0.785857 | + | 0.0134299i | ||||
\(412\) | −2.74966e7 | + | 8.46257e7i | −0.393176 | + | 1.21007i | ||||
\(413\) | −3.35043e6 | − | 1.08862e6i | −0.0475610 | − | 0.0154535i | ||||
\(414\) | 1.67004e8 | + | 1.30281e8i | 2.35356 | + | 1.83603i | ||||
\(415\) | −6.57919e6 | − | 4.78006e6i | −0.0920510 | − | 0.0668789i | ||||
\(416\) | 1.71658e8 | − | 5.57750e7i | 2.38442 | − | 0.774746i | ||||
\(417\) | 1.59012e7 | − | 2.11176e7i | 0.219291 | − | 0.291230i | ||||
\(418\) | −7.79960e7 | − | 1.45268e8i | −1.06793 | − | 1.98903i | ||||
\(419\) | − | 4.04586e7i | − | 0.550007i | −0.961443 | − | 0.275004i | \(-0.911321\pi\) | ||
0.961443 | − | 0.275004i | \(-0.0886791\pi\) | |||||||
\(420\) | 8.05747e6 | − | 2.34284e7i | 0.108755 | − | 0.316224i | ||||
\(421\) | −1.77264e7 | − | 1.28790e7i | −0.237560 | − | 0.172598i | 0.462635 | − | 0.886549i | \(-0.346904\pi\) |
−0.700196 | + | 0.713951i | \(0.746904\pi\) | |||||||
\(422\) | 1.49186e8 | + | 2.05336e8i | 1.98513 | + | 2.73230i | ||||
\(423\) | −2.93765e6 | + | 8.59241e7i | −0.0388132 | + | 1.13526i | ||||
\(424\) | 5.38819e7 | − | 1.65831e8i | 0.706880 | − | 2.17555i | ||||
\(425\) | −5.03210e7 | − | 6.92609e7i | −0.655515 | − | 0.902239i | ||||
\(426\) | 1.06047e8 | − | 3.24642e7i | 1.37173 | − | 0.419929i | ||||
\(427\) | 3.74731e6 | + | 1.15330e7i | 0.0481322 | + | 0.148136i | ||||
\(428\) | − | 1.37986e8i | − | 1.75996i | ||||||
\(429\) | −8.52366e6 | + | 5.53973e7i | −0.107958 | + | 0.701643i | ||||
\(430\) | −2.87685e6 | −0.0361837 | ||||||||
\(431\) | −1.72124e7 | + | 5.59265e6i | −0.214986 | + | 0.0698531i | −0.414530 | − | 0.910036i | \(-0.636054\pi\) |
0.199544 | + | 0.979889i | \(0.436054\pi\) | |||||||
\(432\) | −1.55037e8 | − | 2.38164e8i | −1.92302 | − | 2.95410i | ||||
\(433\) | 4.51832e7 | − | 3.28276e7i | 0.556562 | − | 0.404366i | −0.273637 | − | 0.961833i | \(-0.588227\pi\) |
0.830199 | + | 0.557467i | \(0.188227\pi\) | |||||||
\(434\) | 2.67341e7 | + | 8.68644e6i | 0.327037 | + | 0.106261i | ||||
\(435\) | 1.54842e7 | + | 2.20966e7i | 0.188114 | + | 0.268446i | ||||
\(436\) | −1.53231e8 | + | 1.11329e8i | −1.84879 | + | 1.34322i | ||||
\(437\) | −8.97011e7 | + | 1.23463e8i | −1.07486 | + | 1.47942i | ||||
\(438\) | −84531.8 | + | 245790.i | −0.00100600 | + | 0.00292511i | ||||
\(439\) | 4.98698e7 | 0.589446 | 0.294723 | − | 0.955583i | \(-0.404773\pi\) | ||||
0.294723 | + | 0.955583i | \(0.404773\pi\) | |||||||
\(440\) | −9.12750e7 | − | 1.24514e7i | −1.07150 | − | 0.146171i | ||||
\(441\) | 2.04113e7 | + | 7.09869e7i | 0.237988 | + | 0.827680i | ||||
\(442\) | 4.56567e7 | + | 1.40517e8i | 0.528735 | + | 1.62728i | ||||
\(443\) | −1.85097e7 | + | 2.54764e7i | −0.212906 | + | 0.293040i | −0.902091 | − | 0.431545i | \(-0.857969\pi\) |
0.689185 | + | 0.724585i | \(0.257969\pi\) | |||||||
\(444\) | 4.80968e6 | − | 2.81442e8i | 0.0549500 | − | 3.21543i | ||||
\(445\) | 6.62816e6 | − | 2.03994e7i | 0.0752164 | − | 0.231492i | ||||
\(446\) | −3.01604e7 | − | 9.79969e6i | −0.339963 | − | 0.110461i | ||||
\(447\) | 3.31408e6 | + | 56635.7i | 0.0371056 | + | 0.000634115i | ||||
\(448\) | 8.82029e7 | + | 6.40831e7i | 0.980954 | + | 0.712705i | ||||
\(449\) | 8.72806e7 | − | 2.83592e7i | 0.964226 | − | 0.313296i | 0.215743 | − | 0.976450i | \(-0.430783\pi\) |
0.748483 | + | 0.663154i | \(0.230783\pi\) | |||||||
\(450\) | 1.49331e8 | − | 4.29380e7i | 1.63874 | − | 0.471199i | ||||
\(451\) | −4.07453e7 | + | 7.35465e6i | −0.444169 | + | 0.0801738i | ||||
\(452\) | − | 3.25925e8i | − | 3.52941i | ||||||
\(453\) | −1.41182e8 | − | 4.85552e7i | −1.51875 | − | 0.522326i | ||||
\(454\) | 1.30539e8 | + | 9.48424e7i | 1.39500 | + | 1.01353i | ||||
\(455\) | −4.89499e6 | − | 6.73738e6i | −0.0519658 | − | 0.0715248i | ||||
\(456\) | 2.95414e8 | − | 2.07012e8i | 3.11556 | − | 2.18323i | ||||
\(457\) | 2.36716e7 | − | 7.28536e7i | 0.248015 | − | 0.763312i | −0.747111 | − | 0.664700i | \(-0.768560\pi\) |
0.995126 | − | 0.0986126i | \(-0.0314405\pi\) | |||||||
\(458\) | 1.69223e8 | + | 2.32915e8i | 1.76142 | + | 2.42439i | ||||
\(459\) | 1.01754e8 | − | 6.62384e7i | 1.05223 | − | 0.684971i | ||||
\(460\) | 4.19831e7 | + | 1.29211e8i | 0.431321 | + | 1.32747i | ||||
\(461\) | 1.72567e8i | 1.76138i | 0.473689 | + | 0.880692i | \(0.342922\pi\) | ||||
−0.473689 | + | 0.880692i | \(0.657078\pi\) | |||||||
\(462\) | −6.26934e7 | + | 3.22931e7i | −0.635764 | + | 0.327480i | ||||
\(463\) | −4.97029e7 | −0.500770 | −0.250385 | − | 0.968146i | \(-0.580557\pi\) | ||||
−0.250385 | + | 0.968146i | \(0.580557\pi\) | |||||||
\(464\) | −3.28378e8 | + | 1.06697e8i | −3.28716 | + | 1.06806i | ||||
\(465\) | −4.73085e6 | − | 1.54537e7i | −0.0470522 | − | 0.153700i | ||||
\(466\) | −2.29405e8 | + | 1.66673e8i | −2.26697 | + | 1.64705i | ||||
\(467\) | −7.88363e7 | − | 2.56155e7i | −0.774062 | − | 0.251508i | −0.104759 | − | 0.994498i | \(-0.533407\pi\) |
−0.669303 | + | 0.742990i | \(0.733407\pi\) | |||||||
\(468\) | −1.95276e8 | − | 6.67628e6i | −1.90507 | − | 0.0651324i | ||||
\(469\) | −4.98010e7 | + | 3.61826e7i | −0.482747 | + | 0.350736i | ||||
\(470\) | −4.44856e7 | + | 6.12292e7i | −0.428476 | + | 0.589746i | ||||
\(471\) | 1.01836e8 | + | 3.50232e7i | 0.974624 | + | 0.335192i | ||||
\(472\) | −4.56632e7 | −0.434251 | ||||||||
\(473\) | 4.30884e6 | + | 4.12743e6i | 0.0407171 | + | 0.0390029i | ||||
\(474\) | −1.07335e8 | − | 8.08216e7i | −1.00788 | − | 0.758914i | ||||
\(475\) | 3.45950e7 | + | 1.06472e8i | 0.322799 | + | 0.993474i | ||||
\(476\) | −7.96174e7 | + | 1.09584e8i | −0.738222 | + | 1.01608i | ||||
\(477\) | −4.72050e7 | + | 6.05108e7i | −0.434944 | + | 0.557542i | ||||
\(478\) | 8.29941e7 | − | 2.55430e8i | 0.759913 | − | 2.33877i | ||||
\(479\) | 1.78539e8 | + | 5.80109e7i | 1.62453 | + | 0.527841i | 0.973004 | − | 0.230788i | \(-0.0741303\pi\) |
0.651523 | + | 0.758629i | \(0.274130\pi\) | |||||||
\(480\) | 2.23101e6 | − | 1.30549e8i | 0.0201733 | − | 1.18045i | ||||
\(481\) | −7.65464e7 | − | 5.56142e7i | −0.687844 | − | 0.499748i | ||||
\(482\) | −3.35897e8 | + | 1.09140e8i | −2.99961 | + | 0.974633i | ||||
\(483\) | 5.21431e7 | + | 3.92628e7i | 0.462760 | + | 0.348449i | ||||
\(484\) | 1.89369e8 | + | 2.38378e8i | 1.67021 | + | 2.10248i | ||||
\(485\) | − | 4.86500e7i | − | 0.426440i | ||||||
\(486\) | 4.99629e7 | + | 2.14623e8i | 0.435250 | + | 1.86968i | ||||
\(487\) | −9.95950e7 | − | 7.23600e7i | −0.862285 | − | 0.626486i | 0.0662209 | − | 0.997805i | \(-0.478906\pi\) |
−0.928506 | + | 0.371319i | \(0.878906\pi\) | |||||||
\(488\) | 9.23905e7 | + | 1.27165e8i | 0.795001 | + | 1.09423i | ||||
\(489\) | −4.74049e7 | − | 6.76486e7i | −0.405412 | − | 0.578539i | ||||
\(490\) | −2.00929e7 | + | 6.18396e7i | −0.170787 | + | 0.525628i | ||||
\(491\) | −8.88320e7 | − | 1.22267e8i | −0.750456 | − | 1.03291i | −0.997948 | − | 0.0640238i | \(-0.979607\pi\) |
0.247493 | − | 0.968890i | \(-0.420393\pi\) | |||||||
\(492\) | −4.22501e7 | − | 1.38013e8i | −0.354758 | − | 1.15885i | ||||
\(493\) | −4.55853e7 | − | 1.40297e8i | −0.380438 | − | 1.17087i | ||||
\(494\) | − | 1.93207e8i | − | 1.60266i | ||||||
\(495\) | 3.58905e7 | + | 1.88639e7i | 0.295913 | + | 0.155531i | ||||
\(496\) | 2.06815e8 | 1.69487 | ||||||||
\(497\) | 3.25042e7 | − | 1.05613e7i | 0.264771 | − | 0.0860293i | ||||
\(498\) | −7.71617e7 | + | 2.36215e7i | −0.624760 | + | 0.191258i | ||||
\(499\) | 7.28026e7 | − | 5.28942e7i | 0.585930 | − | 0.425703i | −0.254927 | − | 0.966960i | \(-0.582052\pi\) |
0.840857 | + | 0.541257i | \(0.182052\pi\) | |||||||
\(500\) | 2.01500e8 | + | 6.54714e7i | 1.61200 | + | 0.523771i | ||||
\(501\) | −1.69612e7 | + | 1.18856e7i | −0.134879 | + | 0.0945165i | ||||
\(502\) | 2.46364e8 | − | 1.78994e8i | 1.94745 | − | 1.41490i | ||||
\(503\) | 5.68196e7 | − | 7.82054e7i | 0.446472 | − | 0.614516i | −0.525163 | − | 0.851002i | \(-0.675996\pi\) |
0.971635 | + | 0.236486i | \(0.0759957\pi\) | |||||||
\(504\) | −8.63691e7 | − | 1.27846e8i | −0.674632 | − | 0.998607i | ||||
\(505\) | −3.12914e7 | −0.242969 | ||||||||
\(506\) | 1.68119e8 | − | 3.48265e8i | 1.29767 | − | 2.68818i | ||||
\(507\) | 3.88861e7 | − | 5.16428e7i | 0.298380 | − | 0.396265i | ||||
\(508\) | −8.88304e7 | − | 2.73392e8i | −0.677596 | − | 2.08542i | ||||
\(509\) | 1.46456e8 | − | 2.01580e8i | 1.11059 | − | 1.52860i | 0.290053 | − | 0.957010i | \(-0.406327\pi\) |
0.820540 | − | 0.571590i | \(-0.193673\pi\) | |||||||
\(510\) | 1.06866e8 | + | 1.82627e6i | 0.805615 | + | 0.0137675i | ||||
\(511\) | −24751.7 | + | 76177.8i | −0.000185499 | + | 0.000570907i | ||||
\(512\) | 1.33514e8 | + | 4.33812e7i | 0.994755 | + | 0.323215i | ||||
\(513\) | −1.53315e8 | + | 4.12609e7i | −1.13562 | + | 0.305623i | ||||
\(514\) | −1.77451e7 | − | 1.28926e7i | −0.130674 | − | 0.0949401i | ||||
\(515\) | 2.05777e7 | − | 6.68610e6i | 0.150652 | − | 0.0489498i | ||||
\(516\) | −1.25119e7 | + | 1.66164e7i | −0.0910696 | + | 0.120945i | ||||
\(517\) | 1.54475e8 | − | 2.78831e7i | 1.11786 | − | 0.201776i | ||||
\(518\) | − | 1.19048e8i | − | 0.856508i | ||||||
\(519\) | 5.02618e6 | − | 1.46145e7i | 0.0359531 | − | 0.104540i | ||||
\(520\) | −8.73299e7 | − | 6.34489e7i | −0.621088 | − | 0.451246i | ||||
\(521\) | −4.53354e7 | − | 6.23988e7i | −0.320571 | − | 0.441228i | 0.618071 | − | 0.786123i | \(-0.287915\pi\) |
−0.938641 | + | 0.344895i | \(0.887915\pi\) | |||||||
\(522\) | 2.67582e8 | + | 9.14832e6i | 1.88124 | + | 0.0643176i | ||||
\(523\) | −8.71355e7 | + | 2.68176e8i | −0.609102 | + | 1.87462i | −0.143445 | + | 0.989658i | \(0.545818\pi\) |
−0.465657 | + | 0.884965i | \(0.654182\pi\) | |||||||
\(524\) | 2.62768e8 | + | 3.61669e8i | 1.82633 | + | 2.51372i | ||||
\(525\) | 4.57855e7 | − | 1.40163e7i | 0.316410 | − | 0.0968627i | ||||
\(526\) | −4.88991e7 | − | 1.50496e8i | −0.336004 | − | 1.03411i | ||||
\(527\) | 8.83601e7i | 0.603704i | ||||||||
\(528\) | −3.65262e8 | + | 3.68500e8i | −2.48144 | + | 2.50343i | ||||
\(529\) | −2.09898e8 | −1.41788 | ||||||||
\(530\) | −6.42527e7 | + | 2.08770e7i | −0.431582 | + | 0.140230i | ||||
\(531\) | 1.88912e7 | + | 6.86021e6i | 0.126176 | + | 0.0458198i | ||||
\(532\) | 1.43300e8 | − | 1.04114e8i | 0.951727 | − | 0.691470i | ||||
\(533\) | −4.61419e7 | − | 1.49924e7i | −0.304729 | − | 0.0990125i | ||||
\(534\) | −1.22143e8 | − | 1.74302e8i | −0.802128 | − | 1.14467i | ||||
\(535\) | −2.71448e7 | + | 1.97218e7i | −0.177266 | + | 0.128791i | ||||
\(536\) | −4.68998e8 | + | 6.45521e8i | −3.04563 | + | 4.19195i | ||||
\(537\) | 1.16033e7 | − | 3.37385e7i | 0.0749304 | − | 0.217872i | ||||
\(538\) | −4.08811e8 | −2.62528 | ||||||||
\(539\) | 1.18816e8 | − | 6.37936e7i | 0.758766 | − | 0.407391i | ||||
\(540\) | −5.05090e7 | + | 1.32013e8i | −0.320765 | + | 0.838368i | ||||
\(541\) | −3.06284e7 | − | 9.42644e7i | −0.193434 | − | 0.595328i | −0.999991 | − | 0.00417215i | \(-0.998672\pi\) |
0.806558 | − | 0.591155i | \(-0.201328\pi\) | |||||||
\(542\) | −1.06856e8 | + | 1.47074e8i | −0.671120 | + | 0.923718i | ||||
\(543\) | −1.43007e6 | + | 8.36816e7i | −0.00893221 | + | 0.522674i | ||||
\(544\) | −2.20592e8 | + | 6.78912e8i | −1.37023 | + | 4.21713i | ||||
\(545\) | 4.38015e7 | + | 1.42320e7i | 0.270582 | + | 0.0879176i | ||||
\(546\) | −8.26245e7 | − | 1.41201e6i | −0.507611 | − | 0.00867479i | ||||
\(547\) | 2.14773e8 | + | 1.56042e8i | 1.31225 | + | 0.953408i | 0.999994 | + | 0.00341092i | \(0.00108573\pi\) |
0.312259 | + | 0.949997i | \(0.398914\pi\) | |||||||
\(548\) | 3.30311e8 | − | 1.07325e8i | 2.00716 | − | 0.652165i | ||||
\(549\) | −1.91181e7 | − | 6.64892e7i | −0.115539 | − | 0.401823i | ||||
\(550\) | −1.34198e8 | − | 2.49945e8i | −0.806602 | − | 1.50230i | ||||
\(551\) | 1.92905e8i | 1.15316i | ||||||||
\(552\) | 8.00065e8 | + | 2.75157e8i | 4.75672 | + | 1.63593i | ||||
\(553\) | −3.34977e7 | − | 2.43375e7i | −0.198080 | − | 0.143913i | ||||
\(554\) | −3.15719e8 | − | 4.34550e8i | −1.85683 | − | 2.55570i | ||||
\(555\) | −5.60531e7 | + | 3.92793e7i | −0.327884 | + | 0.229766i | ||||
\(556\) | 5.19928e7 | − | 1.60017e8i | 0.302495 | − | 0.930985i | ||||
\(557\) | 1.06971e8 | + | 1.47232e8i | 0.619012 | + | 0.851996i | 0.997281 | − | 0.0736994i | \(-0.0234805\pi\) |
−0.378269 | + | 0.925696i | \(0.623481\pi\) | |||||||
\(558\) | −1.50739e8 | − | 5.47396e7i | −0.867605 | − | 0.315064i | ||||
\(559\) | 2.16057e6 | + | 6.64954e6i | 0.0123689 | + | 0.0380677i | ||||
\(560\) | − | 7.70919e7i | − | 0.438980i | ||||||
\(561\) | −1.57439e8 | − | 1.56056e8i | −0.891710 | − | 0.883875i | ||||
\(562\) | 1.15034e8 | 0.648062 | ||||||||
\(563\) | 1.08296e8 | − | 3.51877e7i | 0.606861 | − | 0.197181i | 0.0105629 | − | 0.999944i | \(-0.496638\pi\) |
0.596298 | + | 0.802763i | \(0.296638\pi\) | |||||||
\(564\) | 1.60180e8 | + | 5.23240e8i | 0.892832 | + | 2.91651i | ||||
\(565\) | −6.41164e7 | + | 4.65833e7i | −0.355487 | + | 0.258276i | ||||
\(566\) | −1.39223e8 | − | 4.52363e7i | −0.767825 | − | 0.249481i | ||||
\(567\) | 1.65247e7 | + | 6.58664e7i | 0.0906532 | + | 0.361339i | ||||
\(568\) | 3.58396e8 | − | 2.60390e8i | 1.95577 | − | 1.42095i | ||||
\(569\) | 3.21808e7 | − | 4.42931e7i | 0.174687 | − | 0.240436i | −0.712692 | − | 0.701477i | \(-0.752524\pi\) |
0.887379 | + | 0.461042i | \(0.152524\pi\) | |||||||
\(570\) | −1.32168e8 | − | 4.54550e7i | −0.713677 | − | 0.245447i | ||||
\(571\) | 3.31867e8 | 1.78261 | 0.891305 | − | 0.453404i | \(-0.149791\pi\) | ||||
0.891305 | + | 0.453404i | \(0.149791\pi\) | |||||||
\(572\) | 6.33688e7 | + | 3.51068e8i | 0.338600 | + | 1.87587i | ||||
\(573\) | 1.17725e7 | + | 8.86447e6i | 0.0625755 | + | 0.0471182i | ||||
\(574\) | −1.88636e7 | − | 5.80563e7i | −0.0997446 | − | 0.306982i | ||||
\(575\) | −1.54338e8 | + | 2.12428e8i | −0.811838 | + | 1.11740i | ||||
\(576\) | −4.90421e8 | − | 3.82582e8i | −2.56627 | − | 2.00197i | ||||
\(577\) | −7.02503e7 | + | 2.16208e8i | −0.365696 | + | 1.12550i | 0.583847 | + | 0.811863i | \(0.301547\pi\) |
−0.949544 | + | 0.313634i | \(0.898453\pi\) | |||||||
\(578\) | −2.03202e8 | − | 6.60244e7i | −1.05231 | − | 0.341917i | ||||
\(579\) | 304559. | − | 1.78214e7i | 0.00156905 | − | 0.0918137i | ||||
\(580\) | 1.38936e8 | + | 1.00943e8i | 0.712081 | + | 0.517357i | ||||
\(581\) | −2.36506e7 | + | 7.68455e6i | −0.120591 | + | 0.0391823i | ||||
\(582\) | −3.85647e8 | − | 2.90385e8i | −1.95623 | − | 1.47301i | ||||
\(583\) | 1.26188e8 | + | 6.09148e7i | 0.636811 | + | 0.307410i | ||||
\(584\) | 1.03823e6i | 0.00521261i | ||||||||
\(585\) | 2.65968e7 | + | 3.93693e7i | 0.132850 | + | 0.196648i | ||||
\(586\) | 2.01224e8 | + | 1.46198e8i | 0.999969 | + | 0.726520i | ||||
\(587\) | −1.58749e8 | − | 2.18499e8i | −0.784866 | − | 1.08028i | −0.994728 | − | 0.102545i | \(-0.967302\pi\) |
0.209862 | − | 0.977731i | \(-0.432698\pi\) | |||||||
\(588\) | 2.69793e8 | + | 3.85004e8i | 1.32708 | + | 1.89380i | ||||
\(589\) | 3.57058e7 | − | 1.09891e8i | 0.174740 | − | 0.537795i | ||||
\(590\) | 1.03994e7 | + | 1.43136e7i | 0.0506353 | + | 0.0696936i | ||||
\(591\) | −3.68263e7 | − | 1.20296e8i | −0.178400 | − | 0.582759i | ||||
\(592\) | −2.70661e8 | − | 8.33008e8i | −1.30455 | − | 4.01499i | ||||
\(593\) | 3.90218e8i | 1.87130i | 0.352929 | + | 0.935650i | \(0.385186\pi\) | ||||
−0.352929 | + | 0.935650i | \(0.614814\pi\) | |||||||
\(594\) | 3.63759e8 | − | 1.71907e8i | 1.73562 | − | 0.820227i | ||||
\(595\) | 3.29370e7 | 0.156363 | ||||||||
\(596\) | 2.00640e7 | − | 6.51917e6i | 0.0947715 | − | 0.0307931i | ||||
\(597\) | −1.50876e8 | + | 4.61876e7i | −0.709082 | + | 0.217072i | ||||
\(598\) | 3.66610e8 | − | 2.66357e8i | 1.71435 | − | 1.24555i | ||||
\(599\) | −7.26873e7 | − | 2.36175e7i | −0.338203 | − | 0.109889i | 0.134991 | − | 0.990847i | \(-0.456899\pi\) |
−0.473195 | + | 0.880958i | \(0.656899\pi\) | |||||||
\(600\) | 5.08283e8 | − | 3.56180e8i | 2.35316 | − | 1.64898i | ||||
\(601\) | −2.99145e8 | + | 2.17342e8i | −1.37803 | + | 1.00120i | −0.380968 | + | 0.924588i | \(0.624409\pi\) |
−0.997061 | + | 0.0766091i | \(0.975591\pi\) | |||||||
\(602\) | −5.17080e6 | + | 7.11700e6i | −0.0237011 | + | 0.0326218i | ||||
\(603\) | 2.91008e8 | − | 1.96597e8i | 1.32725 | − | 0.896654i | ||||
\(604\) | −9.50254e8 | −4.31250 | ||||||||
\(605\) | 1.98284e7 | − | 7.13235e7i | 0.0895407 | − | 0.322082i | ||||
\(606\) | −1.86774e8 | + | 2.48046e8i | −0.839262 | + | 1.11459i | ||||
\(607\) | 5.04088e7 | + | 1.55142e8i | 0.225393 | + | 0.693688i | 0.998251 | + | 0.0591099i | \(0.0188263\pi\) |
−0.772858 | + | 0.634578i | \(0.781174\pi\) | |||||||
\(608\) | 5.48689e8 | − | 7.55206e8i | 2.44127 | − | 3.36012i | ||||
\(609\) | 8.24953e7 | + | 1.40980e6i | 0.365239 | + | 0.00624174i | ||||
\(610\) | 1.88198e7 | − | 5.79215e7i | 0.0829136 | − | 0.255182i | ||||
\(611\) | 1.74934e8 | + | 5.68396e7i | 0.766922 | + | 0.249188i | ||||
\(612\) | 4.75323e8 | − | 6.09303e8i | 2.07364 | − | 2.65815i | ||||
\(613\) | 1.47486e8 | + | 1.07155e8i | 0.640278 | + | 0.465189i | 0.859946 | − | 0.510386i | \(-0.170497\pi\) |
−0.219668 | + | 0.975575i | \(0.570497\pi\) | |||||||
\(614\) | −6.30204e7 | + | 2.04766e7i | −0.272255 | + | 0.0884611i | ||||
\(615\) | −2.11116e7 | + | 2.80373e7i | −0.0907601 | + | 0.120534i | ||||
\(616\) | −1.94859e8 | + | 2.03424e8i | −0.833640 | + | 0.870281i | ||||
\(617\) | 1.19240e8i | 0.507652i | 0.967250 | + | 0.253826i | \(0.0816891\pi\) | ||||
−0.967250 | + | 0.253826i | \(0.918311\pi\) | |||||||
\(618\) | 6.98248e7 | − | 2.03027e8i | 0.295831 | − | 0.860178i | ||||
\(619\) | −8.77961e7 | − | 6.37876e7i | −0.370172 | − | 0.268946i | 0.387110 | − | 0.922033i | \(-0.373473\pi\) |
−0.757282 | + | 0.653088i | \(0.773473\pi\) | |||||||
\(620\) | −6.04627e7 | − | 8.32198e7i | −0.253695 | − | 0.349182i | ||||
\(621\) | −2.89655e8 | − | 2.34032e8i | −1.20950 | − | 0.977239i | ||||
\(622\) | −2.82148e8 | + | 8.68362e8i | −1.17248 | + | 3.60852i | ||||
\(623\) | −3.85523e7 | − | 5.30627e7i | −0.159436 | − | 0.219445i | ||||
\(624\) | −5.81356e8 | + | 1.77971e8i | −2.39270 | + | 0.732478i | ||||
\(625\) | 5.10924e7 | + | 1.57246e8i | 0.209274 | + | 0.644080i | ||||
\(626\) | − | 5.43499e8i | − | 2.21552i | ||||||
\(627\) | 1.32742e8 | + | 2.57703e8i | 0.538523 | + | 1.04548i | ||||
\(628\) | 6.85425e8 | 2.76746 | ||||||||
\(629\) | 3.55897e8 | − | 1.15638e8i | 1.43012 | − | 0.464673i | ||||
\(630\) | −2.04047e7 | + | 5.61891e7i | −0.0816033 | + | 0.224714i | ||||
\(631\) | 4.89152e7 | − | 3.55389e7i | 0.194695 | − | 0.141454i | −0.486167 | − | 0.873866i | \(-0.661605\pi\) |
0.680862 | + | 0.732412i | \(0.261605\pi\) | |||||||
\(632\) | −5.10429e8 | − | 1.65849e8i | −2.02202 | − | 0.656993i | ||||
\(633\) | −2.56078e8 | − | 3.65433e8i | −1.00963 | − | 1.44078i | ||||
\(634\) | −1.77647e8 | + | 1.29068e8i | −0.697092 | + | 0.506467i | ||||
\(635\) | −4.10858e7 | + | 5.65498e7i | −0.160462 | + | 0.220856i | ||||
\(636\) | −1.58861e8 | + | 4.61915e8i | −0.617514 | + | 1.79552i | ||||
\(637\) | 1.58026e8 | 0.611378 | ||||||||
\(638\) | −8.68326e7 | − | 4.81059e8i | −0.334365 | − | 1.85241i | ||||
\(639\) | −1.87391e8 | + | 5.38816e7i | −0.718199 | + | 0.206509i | ||||
\(640\) | −7.35624e7 | − | 2.26402e8i | −0.280618 | − | 0.863654i | ||||
\(641\) | 4.61084e7 | − | 6.34627e7i | 0.175068 | − | 0.240960i | −0.712462 | − | 0.701711i | \(-0.752420\pi\) |
0.887529 | + | 0.460751i | \(0.152420\pi\) | |||||||
\(642\) | −5.68895e6 | + | 3.32892e8i | −0.0214994 | + | 1.25805i | ||||
\(643\) | 1.23692e8 | − | 3.80685e8i | 0.465274 | − | 1.43197i | −0.393363 | − | 0.919383i | \(-0.628688\pi\) |
0.858637 | − | 0.512584i | \(-0.171312\pi\) | |||||||
\(644\) | 3.95111e8 | + | 1.28379e8i | 1.47932 | + | 0.480660i | ||||
\(645\) | 5.05709e6 | + | 86422.9i | 0.0188461 | + | 0.000322070i | ||||
\(646\) | 6.18202e8 | + | 4.49150e8i | 2.29315 | + | 1.66607i | ||||
\(647\) | −3.25652e8 | + | 1.05811e8i | −1.20238 | + | 0.390676i | −0.840635 | − | 0.541602i | \(-0.817818\pi\) |
−0.361743 | + | 0.932278i | \(0.617818\pi\) | |||||||
\(648\) | 4.67536e8 | + | 7.45785e8i | 1.71826 | + | 2.74087i | ||||
\(649\) | 4.95988e6 | − | 3.63585e7i | 0.0181442 | − | 0.133006i | ||||
\(650\) | − | 3.32428e8i | − | 1.21048i | ||||||
\(651\) | −4.67337e7 | − | 1.60726e7i | −0.169390 | − | 0.0582564i | ||||
\(652\) | −4.25351e8 | − | 3.09036e8i | −1.53463 | − | 1.11498i | ||||
\(653\) | 1.81682e8 | + | 2.50064e8i | 0.652489 | + | 0.898074i | 0.999204 | − | 0.0398967i | \(-0.0127029\pi\) |
−0.346715 | + | 0.937971i | \(0.612703\pi\) | |||||||
\(654\) | 3.74261e8 | − | 2.62264e8i | 1.33796 | − | 0.937575i | ||||
\(655\) | 3.35916e7 | − | 1.03384e8i | 0.119538 | − | 0.367901i | ||||
\(656\) | −2.63988e8 | − | 3.63348e8i | −0.935130 | − | 1.28710i | ||||
\(657\) | 155978. | − | 429524.i | 0.000550007 | − | 0.00151458i | ||||
\(658\) | 7.15162e7 | + | 2.20104e8i | 0.251031 | + | 0.772593i | ||||
\(659\) | 2.08492e8i | 0.728507i | 0.931300 | + | 0.364254i | \(0.118676\pi\) | ||||
−0.931300 | + | 0.364254i | \(0.881324\pi\) | |||||||
\(660\) | 2.55065e8 | + | 3.92455e7i | 0.887196 | + | 0.136508i | ||||
\(661\) | 3.14300e8 | 1.08828 | 0.544140 | − | 0.838994i | \(-0.316856\pi\) | ||||
0.544140 | + | 0.838994i | \(0.316856\pi\) | |||||||
\(662\) | −2.81422e8 | + | 9.14395e7i | −0.970027 | + | 0.315181i | ||||
\(663\) | −7.60367e7 | − | 2.48380e8i | −0.260905 | − | 0.852268i | ||||
\(664\) | −2.60775e8 | + | 1.89464e8i | −0.890761 | + | 0.647176i | ||||
\(665\) | −4.09628e7 | − | 1.33096e7i | −0.139292 | − | 0.0452586i | ||||
\(666\) | −2.32068e7 | + | 6.78783e8i | −0.0785585 | + | 2.29778i | ||||
\(667\) | −3.66036e8 | + | 2.65941e8i | −1.23352 | + | 0.896206i | ||||
\(668\) | −7.74829e7 | + | 1.06646e8i | −0.259942 | + | 0.357780i | ||||
\(669\) | 5.27231e7 | + | 1.81325e7i | 0.176085 | + | 0.0605590i | ||||
\(670\) | 3.09156e8 | 1.02790 | ||||||||
\(671\) | −1.11288e8 | + | 5.97517e7i | −0.368366 | + | 0.197780i | ||||
\(672\) | −3.18952e8 | − | 2.40165e8i | −1.05104 | − | 0.791410i | ||||
\(673\) | −4.40764e6 | − | 1.35653e7i | −0.0144597 | − | 0.0445025i | 0.943566 | − | 0.331184i | \(-0.107448\pi\) |
−0.958026 | + | 0.286681i | \(0.907448\pi\) | |||||||
\(674\) | −4.54821e8 | + | 6.26007e8i | −1.48546 | + | 2.04456i | ||||
\(675\) | −2.63791e8 | + | 7.09927e7i | −0.857727 | + | 0.230836i | ||||
\(676\) | 1.27148e8 | − | 3.91321e8i | 0.411594 | − | 1.26675i | ||||
\(677\) | 1.32981e7 | + | 4.32083e6i | 0.0428573 | + | 0.0139252i | 0.330367 | − | 0.943852i | \(-0.392827\pi\) |
−0.287510 | + | 0.957778i | \(0.592827\pi\) | |||||||
\(678\) | −1.34374e7 | + | 7.86297e8i | −0.0431147 | + | 2.52289i | ||||
\(679\) | −1.20354e8 | − | 8.74425e7i | −0.384461 | − | 0.279327i | ||||
\(680\) | 4.06033e8 | − | 1.31928e8i | 1.29132 | − | 0.419576i | ||||
\(681\) | −2.26620e8 | − | 1.70641e8i | −0.717558 | − | 0.540308i | ||||
\(682\) | −3.95764e7 | + | 2.90115e8i | −0.124762 | + | 0.914570i | ||||
\(683\) | − | 4.10558e8i | − | 1.28858i | −0.764780 | − | 0.644291i | \(-0.777152\pi\) | ||
0.764780 | − | 0.644291i | \(-0.222848\pi\) | |||||||
\(684\) | −8.37362e8 | + | 5.65699e8i | −2.61665 | + | 1.76774i | ||||
\(685\) | −6.83232e7 | − | 4.96397e7i | −0.212567 | − | 0.154439i | ||||
\(686\) | 2.52572e8 | + | 3.47635e8i | 0.782370 | + | 1.07684i | ||||
\(687\) | −2.90472e8 | − | 4.14515e8i | −0.895849 | − | 1.27841i | ||||
\(688\) | −2.00006e7 | + | 6.15556e7i | −0.0614155 | + | 0.189018i | ||||
\(689\) | 9.65098e7 | + | 1.32834e8i | 0.295062 | + | 0.406118i | ||||
\(690\) | −9.59575e7 | − | 3.13453e8i | −0.292100 | − | 0.954169i | ||||
\(691\) | 2.92327e7 | + | 8.99690e7i | 0.0886003 | + | 0.272684i | 0.985533 | − | 0.169483i | \(-0.0542099\pi\) |
−0.896933 | + | 0.442167i | \(0.854210\pi\) | |||||||
\(692\) | − | 9.83654e7i | − | 0.296841i | ||||||
\(693\) | 1.11176e8 | − | 5.48833e7i | 0.334050 | − | 0.164907i | ||||
\(694\) | −7.54205e8 | −2.25637 | ||||||||
\(695\) | −3.89100e7 | + | 1.26426e7i | −0.115906 | + | 0.0376602i | ||||
\(696\) | 1.02261e9 | − | 3.13053e8i | 3.03308 | − | 0.928519i | ||||
\(697\) | 1.55238e8 | − | 1.12787e8i | 0.458457 | − | 0.333089i | ||||
\(698\) | 1.23351e9 | + | 4.00791e8i | 3.62724 | + | 1.17856i | ||||
\(699\) | 4.08268e8 | − | 2.86095e8i | 1.19540 | − | 0.837680i | ||||
\(700\) | 2.46560e8 | − | 1.79136e8i | 0.718833 | − | 0.522263i | ||||
\(701\) | 4.53216e7 | − | 6.23799e7i | 0.131568 | − | 0.181088i | −0.738150 | − | 0.674637i | \(-0.764300\pi\) |
0.869718 | + | 0.493548i | \(0.164300\pi\) | |||||||
\(702\) | 4.70831e8 | + | 2.41576e7i | 1.36099 | + | 0.0698300i | ||||
\(703\) | −4.89348e8 | −1.40848 | ||||||||
\(704\) | −4.93696e8 | + | 1.02271e9i | −1.41495 | + | 2.93113i | ||||
\(705\) | 8.00386e7 | − | 1.06296e8i | 0.228419 | − | 0.303353i | ||||
\(706\) | −8.60649e7 | − | 2.64881e8i | −0.244575 | − | 0.752725i | ||||
\(707\) | −5.62424e7 | + | 7.74111e7i | −0.159150 | + | 0.219051i | ||||
\(708\) | 1.27903e8 | + | 2.18579e6i | 0.360396 | + | 0.00615897i | ||||
\(709\) | 5.49816e7 | − | 1.69216e8i | 0.154269 | − | 0.474791i | −0.843817 | − | 0.536631i | \(-0.819697\pi\) |
0.998086 | + | 0.0618397i | \(0.0196968\pi\) | |||||||
\(710\) | −1.63243e8 | − | 5.30410e7i | −0.456101 | − | 0.148196i | ||||
\(711\) | 1.86252e8 | + | 1.45297e8i | 0.518194 | + | 0.404248i | ||||
\(712\) | −6.87798e8 | − | 4.99715e8i | −1.90555 | − | 1.38447i | ||||
\(713\) | 2.57743e8 | − | 8.37456e7i | 0.711078 | − | 0.231043i | ||||
\(714\) | 1.96596e8 | − | 2.61090e8i | 0.540107 | − | 0.717292i | ||||
\(715\) | 6.00056e7 | − | 6.26430e7i | 0.164162 | − | 0.171378i | ||||
\(716\) | − | 2.27083e8i | − | 0.618651i | ||||||
\(717\) | −1.53565e8 | + | 4.46515e8i | −0.416615 | + | 1.21138i | ||||
\(718\) | 1.15540e8 | + | 8.39449e7i | 0.312148 | + | 0.226789i | ||||
\(719\) | −3.08862e8 | − | 4.25112e8i | −0.830956 | − | 1.14371i | −0.987744 | − | 0.156080i | \(-0.950114\pi\) |
0.156789 | − | 0.987632i | \(-0.449886\pi\) | |||||||
\(720\) | −1.50281e7 | + | 4.39561e8i | −0.0402631 | + | 1.17767i | ||||
\(721\) | 2.04453e7 | − | 6.29242e7i | 0.0545492 | − | 0.167885i | ||||
\(722\) | −1.62667e8 | − | 2.23892e8i | −0.432203 | − | 0.594877i | ||||
\(723\) | 5.93737e8 | − | 1.81761e8i | 1.57101 | − | 0.480934i | ||||
\(724\) | 1.64612e8 | + | 5.06622e8i | 0.433755 | + | 1.33496i | ||||
\(725\) | 3.31908e8i | 0.870972i | ||||||||
\(726\) | −4.47026e8 | − | 5.82898e8i | −1.16822 | − | 1.52329i | ||||
\(727\) | −1.47212e8 | −0.383124 | −0.191562 | − | 0.981480i | \(-0.561355\pi\) | ||||
−0.191562 | + | 0.981480i | \(0.561355\pi\) | |||||||
\(728\) | −3.13930e8 | + | 1.02002e8i | −0.813652 | + | 0.264371i | ||||
\(729\) | −8.13801e7 | − | 3.78777e8i | −0.210056 | − | 0.977689i | ||||
\(730\) | 325444. | − | 236449.i | 0.000836580 | − | 0.000607811i | ||||
\(731\) | −2.62992e7 | − | 8.54512e6i | −0.0673271 | − | 0.0218759i | ||||
\(732\) | −2.52699e8 | − | 3.60611e8i | −0.644273 | − | 0.919402i | ||||
\(733\) | 3.70513e8 | − | 2.69193e8i | 0.940787 | − | 0.683521i | −0.00782327 | − | 0.999969i | \(-0.502490\pi\) |
0.948610 | + | 0.316448i | \(0.102490\pi\) | |||||||
\(734\) | 7.43070e8 | − | 1.02275e9i | 1.87906 | − | 2.58631i | ||||
\(735\) | 3.71781e7 | − | 1.08101e8i | 0.0936322 | − | 0.272251i | ||||
\(736\) | 2.18943e9 | 5.49158 | ||||||||
\(737\) | −4.63041e8 | − | 4.43546e8i | −1.15669 | − | 1.10799i | ||||
\(738\) | 9.62389e7 | + | 3.34701e8i | 0.239432 | + | 0.832699i | ||||
\(739\) | 3.54314e7 | + | 1.09047e8i | 0.0877921 | + | 0.270196i | 0.985308 | − | 0.170785i | \(-0.0546304\pi\) |
−0.897516 | + | 0.440981i | \(0.854630\pi\) | |||||||
\(740\) | −2.56064e8 | + | 3.52442e8i | −0.631908 | + | 0.869747i | ||||
\(741\) | −5.80409e6 | + | 3.39630e8i | −0.0142652 | + | 0.834740i | ||||
\(742\) | −6.38394e7 | + | 1.96477e8i | −0.156270 | + | 0.480951i | ||||
\(743\) | −3.06747e8 | − | 9.96682e7i | −0.747850 | − | 0.242991i | −0.0897940 | − | 0.995960i | \(-0.528621\pi\) |
−0.658056 | + | 0.752969i | \(0.728621\pi\) | |||||||
\(744\) | −6.40493e8 | − | 1.09457e7i | −1.55523 | − | 0.0265781i | ||||
\(745\) | −4.15013e6 | − | 3.01525e6i | −0.0100368 | − | 0.00729213i | ||||
\(746\) | −3.43767e8 | + | 1.11697e8i | −0.828033 | + | 0.269044i | ||||
\(747\) | 1.36349e8 | − | 3.92052e7i | 0.327106 | − | 0.0940550i | ||||
\(748\) | −1.27062e9 | − | 6.13371e8i | −3.03607 | − | 1.46561i | ||||
\(749\) | 1.02601e8i | 0.244177i | ||||||||
\(750\) | −4.83422e8 | − | 1.66258e8i | −1.14589 | − | 0.394093i | ||||
\(751\) | −6.40825e8 | − | 4.65587e8i | −1.51293 | − | 1.09921i | −0.964855 | − | 0.262783i | \(-0.915360\pi\) |
−0.548078 | − | 0.836427i | \(-0.684640\pi\) | |||||||
\(752\) | 1.00084e9 | + | 1.37753e9i | 2.35347 | + | 3.23928i | ||||
\(753\) | −4.38449e8 | + | 3.07244e8i | −1.02691 | + | 0.719612i | ||||
\(754\) | 1.77008e8 | − | 5.44774e8i | 0.412932 | − | 1.27087i | ||||
\(755\) | 1.35817e8 | + | 1.86935e8i | 0.315582 | + | 0.434361i | ||||
\(756\) | 2.35800e8 | + | 3.62230e8i | 0.545731 | + | 0.838338i | ||||
\(757\) | 1.76971e8 | + | 5.44661e8i | 0.407957 | + | 1.25556i | 0.918401 | + | 0.395652i | \(0.129481\pi\) |
−0.510443 | + | 0.859911i | \(0.670519\pi\) | |||||||
\(758\) | − | 3.15646e8i | − | 0.724758i | ||||||
\(759\) | −3.05991e8 | + | 6.07149e8i | −0.699814 | + | 1.38858i | ||||
\(760\) | −5.58285e8 | −1.27179 | ||||||||
\(761\) | 7.57600e8 | − | 2.46159e8i | 1.71904 | − | 0.558550i | 0.727244 | − | 0.686379i | \(-0.240801\pi\) |
0.991796 | + | 0.127829i | \(0.0408008\pi\) | |||||||
\(762\) | 2.03033e8 | + | 6.63224e8i | 0.458883 | + | 1.49898i | ||||
\(763\) | 1.13936e8 | − | 8.27795e7i | 0.256500 | − | 0.186358i | ||||
\(764\) | 8.92054e7 | + | 2.89846e7i | 0.200037 | + | 0.0649960i | ||||
\(765\) | −1.87799e8 | − | 6.42065e6i | −0.419478 | − | 0.0143415i | ||||
\(766\) | 7.03472e8 | − | 5.11102e8i | 1.56517 | − | 1.13716i | ||||
\(767\) | 2.52742e7 | − | 3.47869e7i | 0.0560133 | − | 0.0770957i | ||||
\(768\) | −8.39547e8 | − | 2.88736e8i | −1.85337 | − | 0.637408i | ||||
\(769\) | 1.65866e8 | 0.364736 | 0.182368 | − | 0.983230i | \(-0.441624\pi\) | ||||
0.182368 | + | 0.983230i | \(0.441624\pi\) | |||||||
\(770\) | 1.08143e8 | + | 1.47524e7i | 0.236878 | + | 0.0323140i | ||||
\(771\) | 3.08060e7 | + | 2.31963e7i | 0.0672159 | + | 0.0506123i | ||||
\(772\) | −3.50569e7 | − | 1.07894e8i | −0.0761941 | − | 0.234501i | ||||
\(773\) | 3.75023e8 | − | 5.16175e8i | 0.811932 | − | 1.11753i | −0.179091 | − | 0.983833i | \(-0.557316\pi\) |
0.991022 | − | 0.133696i | \(-0.0426845\pi\) | |||||||
\(774\) | 3.08701e7 | − | 3.95716e7i | 0.0665757 | − | 0.0853415i | ||||
\(775\) | 6.14347e7 | − | 1.89077e8i | 0.131980 | − | 0.406193i | ||||
\(776\) | −1.83393e9 | − | 5.95879e8i | −3.92461 | − | 1.27518i | ||||
\(777\) | −3.57628e6 | + | 2.09268e8i | −0.00762375 | + | 0.446109i | ||||
\(778\) | 2.52025e8 | + | 1.83107e8i | 0.535186 | + | 0.388836i | ||||
\(779\) | −2.38642e8 | + | 7.75393e7i | −0.504817 | + | 0.164025i | ||||
\(780\) | 2.41574e8 | + | 1.81901e8i | 0.509057 | + | 0.383310i | ||||
\(781\) | 1.68402e8 | + | 3.13649e8i | 0.353503 | + | 0.658401i | ||||
\(782\) | 1.79224e9i | 3.74780i | ||||||||
\(783\) | −4.70095e8 | − | 2.41198e7i | −0.979265 | − | 0.0502445i | ||||
\(784\) | 1.18348e9 | + | 8.59849e8i | 2.45591 | + | 1.78433i | ||||
\(785\) | −9.79654e7 | − | 1.34838e8i | −0.202518 | − | 0.278742i | ||||
\(786\) | −6.19020e8 | − | 8.83365e8i | −1.27479 | − | 1.81917i | ||||
\(787\) | 2.05445e8 | − | 6.32294e8i | 0.421474 | − | 1.29716i | −0.484857 | − | 0.874594i | \(-0.661128\pi\) |
0.906330 | − | 0.422570i | \(-0.138872\pi\) | |||||||
\(788\) | −4.70659e8 | − | 6.47807e8i | −0.961896 | − | 1.32394i | ||||
\(789\) | 8.14365e7 | + | 2.66019e8i | 0.165801 | + | 0.541604i | ||||
\(790\) | 6.42593e7 | + | 1.97770e8i | 0.130333 | + | 0.401124i | ||||
\(791\) | 2.42344e8i | 0.489669i | ||||||||
\(792\) | 1.15070e9 | − | 1.12189e9i | 2.31625 | − | 2.25827i | ||||
\(793\) | −1.48013e8 | −0.296812 | ||||||||
\(794\) | −3.55134e8 | + | 1.15390e8i | −0.709465 | + | 0.230519i | ||||
\(795\) | 1.13574e8 | − | 3.47685e7i | 0.226036 | − | 0.0691965i | ||||
\(796\) | −8.12482e8 | + | 5.90303e8i | −1.61092 | + | 1.17040i | ||||
\(797\) | −3.79248e8 | − | 1.23225e8i | −0.749114 | − | 0.243402i | −0.0905140 | − | 0.995895i | \(-0.528851\pi\) |
−0.658600 | + | 0.752493i | \(0.728851\pi\) | |||||||
\(798\) | −3.50006e8 | + | 2.45268e8i | −0.688759 | + | 0.482649i | ||||
\(799\) | −5.88541e8 | + | 4.27600e8i | −1.15381 | + | 0.838296i | ||||
\(800\) | 9.44064e8 | − | 1.29939e9i | 1.84388 | − | 2.53788i | ||||
\(801\) | 2.09473e8 | + | 3.10067e8i | 0.407596 | + | 0.603334i | ||||
\(802\) | −6.39409e8 | −1.23953 | ||||||||
\(803\) | −826671. | − | 112771.i | −0.00159656 | − | 0.000217797i | ||||
\(804\) | 1.34456e9 | − | 1.78565e9i | 2.58710 | − | 3.43581i | ||||
\(805\) | −3.12169e7 | − | 9.60757e7i | −0.0598414 | − | 0.184173i | ||||
\(806\) | −2.01670e8 | + | 2.77575e8i | −0.385156 | + | 0.530122i | ||||
\(807\) | 7.18631e8 | + | 1.22810e7i | 1.36737 | + | 0.0233676i | ||||
\(808\) | −3.83265e8 | + | 1.17957e9i | −0.726550 | + | 2.23609i | ||||
\(809\) | 6.94085e8 | + | 2.25522e8i | 1.31089 | + | 0.425935i | 0.879358 | − | 0.476161i | \(-0.157972\pi\) |
0.431535 | + | 0.902096i | \(0.357972\pi\) | |||||||
\(810\) | 1.27296e8 | − | 3.16400e8i | 0.239530 | − | 0.595363i | ||||
\(811\) | 2.90888e7 | + | 2.11342e7i | 0.0545334 | + | 0.0396208i | 0.614718 | − | 0.788747i | \(-0.289270\pi\) |
−0.560185 | + | 0.828368i | \(0.689270\pi\) | |||||||
\(812\) | 4.99440e8 | − | 1.62278e8i | 0.932857 | − | 0.303104i | ||||
\(813\) | 1.92255e8 | − | 2.55325e8i | 0.357772 | − | 0.475141i | ||||
\(814\) | 1.22032e9 | − | 2.20271e8i | 2.26256 | − | 0.408398i | ||||
\(815\) | 1.27845e8i | 0.236163i | ||||||||
\(816\) | 7.82033e8 | − | 2.27389e9i | 1.43931 | − | 4.18503i | ||||
\(817\) | 2.92546e7 | + | 2.12547e7i | 0.0536448 | + | 0.0389752i | ||||
\(818\) | 3.11195e8 | + | 4.28323e8i | 0.568555 | + | 0.782549i | ||||
\(819\) | 1.45199e8 | + | 4.96421e6i | 0.264310 | + | 0.00903646i | ||||
\(820\) | −6.90295e7 | + | 2.12451e8i | −0.125197 | + | 0.385316i | ||||
\(821\) | 1.88016e8 | + | 2.58782e8i | 0.339755 | + | 0.467633i | 0.944370 | − | 0.328885i | \(-0.106673\pi\) |
−0.604615 | + | 0.796518i | \(0.706673\pi\) | |||||||
\(822\) | −8.01304e8 | + | 2.45304e8i | −1.44272 | + | 0.441660i | ||||
\(823\) | −1.66612e8 | − | 5.12780e8i | −0.298888 | − | 0.919882i | −0.981888 | − | 0.189463i | \(-0.939325\pi\) |
0.683000 | − | 0.730418i | \(-0.260675\pi\) | |||||||
\(824\) | − | 8.57597e8i | − | 1.53286i | ||||||
\(825\) | 2.28393e8 | + | 4.43398e8i | 0.406743 | + | 0.789646i | ||||
\(826\) | 5.41019e7 | 0.0960002 | ||||||||
\(827\) | −2.80623e7 | + | 9.11801e6i | −0.0496143 | + | 0.0161207i | −0.333719 | − | 0.942673i | \(-0.608304\pi\) |
0.284105 | + | 0.958793i | \(0.408304\pi\) | |||||||
\(828\) | −2.22781e9 | − | 8.09013e8i | −3.92453 | − | 1.42516i | ||||
\(829\) | −6.83370e8 | + | 4.96497e8i | −1.19948 | + | 0.871472i | −0.994233 | − | 0.107239i | \(-0.965799\pi\) |
−0.205244 | + | 0.978711i | \(0.565799\pi\) | |||||||
\(830\) | 1.18779e8 | + | 3.85936e7i | 0.207732 | + | 0.0674964i | ||||
\(831\) | 5.41934e8 | + | 7.73360e8i | 0.944373 | + | 1.34766i | ||||
\(832\) | −1.07658e9 | + | 7.82182e8i | −1.86929 | + | 1.35812i | ||||
\(833\) | −3.67364e8 | + | 5.05633e8i | −0.635568 | + | 0.874784i | ||||
\(834\) | −1.32031e8 | + | 3.83900e8i | −0.227602 | + | 0.661790i | ||||
\(835\) | 3.20539e7 | 0.0550582 | ||||||||
\(836\) | 1.33238e9 | + | 1.27629e9i | 2.28039 | + | 2.18438i | ||||
\(837\) | 2.63332e8 | + | 1.00753e8i | 0.449084 | + | 0.171822i | ||||
\(838\) | 1.92004e8 | + | 5.90928e8i | 0.326271 | + | 1.00416i | ||||
\(839\) | −6.39594e8 | + | 8.80326e8i | −1.08298 | + | 1.49059i | −0.226774 | + | 0.973947i | \(0.572818\pi\) |
−0.856202 | + | 0.516641i | \(0.827182\pi\) | |||||||
\(840\) | −4.08009e6 | + | 2.38749e8i | −0.00688386 | + | 0.402813i | ||||
\(841\) | 7.07953e6 | − | 2.17886e7i | 0.0119019 | − | 0.0366303i | ||||
\(842\) | 3.20027e8 | + | 1.03983e8i | 0.536105 | + | 0.174191i | ||||
\(843\) | −2.02213e8 | − | 3.45570e6i | −0.337540 | − | 0.00576838i | ||||
\(844\) | −2.29772e9 | − | 1.66939e9i | −3.82181 | − | 2.77671i | ||||
\(845\) | −9.51540e7 | + | 3.09174e7i | −0.157709 | + | 0.0512428i | ||||
\(846\) | −3.64863e8 | − | 1.26893e9i | −0.602586 | − | 2.09568i | ||||
\(847\) | −1.40807e8 | − | 1.77248e8i | −0.231725 | − | 0.291697i | ||||
\(848\) | 1.51995e9i | 2.49253i | ||||||||
\(849\) | 2.43375e8 | + | 8.37013e7i | 0.397698 | + | 0.136776i | ||||
\(850\) | 1.06367e9 | + | 7.72800e8i | 1.73200 | + | 1.25837i | ||||
\(851\) | −6.74621e8 | − | 9.28536e8i | −1.09464 | − | 1.50664i | ||||
\(852\) | −1.01633e9 | + | 7.12196e8i | −1.64330 | + | 1.15154i | ||||
\(853\) | 5.66742e7 | − | 1.74425e8i | 0.0913142 | − | 0.281036i | −0.894961 | − | 0.446144i | \(-0.852797\pi\) |
0.986276 | + | 0.165107i | \(0.0527971\pi\) | |||||||
\(854\) | −1.09464e8 | − | 1.50665e8i | −0.175752 | − | 0.241901i | ||||
\(855\) | 2.30967e8 | + | 8.38738e7i | 0.369531 | + | 0.134192i | ||||
\(856\) | 4.10964e8 | + | 1.26482e9i | 0.655213 | + | 2.01654i | ||||
\(857\) | 1.88044e8i | 0.298756i | 0.988780 | + | 0.149378i | \(0.0477272\pi\) | ||||
−0.988780 | + | 0.149378i | \(0.952273\pi\) | |||||||
\(858\) | −1.38404e8 | − | 8.49569e8i | −0.219123 | − | 1.34505i | ||||
\(859\) | 8.98124e8 | 1.41696 | 0.708479 | − | 0.705732i | \(-0.249382\pi\) | ||||
0.708479 | + | 0.705732i | \(0.249382\pi\) | |||||||
\(860\) | 3.06165e7 | − | 9.94789e6i | 0.0481349 | − | 0.0156400i | ||||
\(861\) | 3.14155e7 | + | 1.02621e8i | 0.0492191 | + | 0.160778i | ||||
\(862\) | 2.24859e8 | − | 1.63370e8i | 0.351066 | − | 0.255064i | ||||
\(863\) | −8.72115e7 | − | 2.83367e7i | −0.135688 | − | 0.0440877i | 0.240386 | − | 0.970677i | \(-0.422726\pi\) |
−0.376074 | + | 0.926590i | \(0.622726\pi\) | |||||||
\(864\) | 1.77178e9 | + | 1.43154e9i | 2.74706 | + | 2.21954i | ||||
\(865\) | −1.93506e7 | + | 1.40590e7i | −0.0298982 | + | 0.0217223i | ||||
\(866\) | −5.04146e8 | + | 6.93897e8i | −0.776251 | + | 1.06842i | ||||
\(867\) | 3.55217e8 | + | 1.22166e8i | 0.545049 | + | 0.187453i | ||||
\(868\) | −3.14550e8 | −0.480984 | ||||||||
\(869\) | 1.87496e8 | − | 3.88405e8i | 0.285715 | − | 0.591869i | ||||
\(870\) | −3.31022e8 | − | 2.49253e8i | −0.502689 | − | 0.378515i | ||||
\(871\) | −2.32181e8 | − | 7.14580e8i | −0.351376 | − | 1.08143i | ||||
\(872\) | 1.07299e9 | − | 1.47684e9i | 1.61825 | − | 2.22733i | ||||
\(873\) | 6.69188e8 | + | 5.22039e8i | 1.00578 | + | 0.784622i | ||||
\(874\) | 7.24234e8 | − | 2.22896e9i | 1.08479 | − | 3.33863i | ||||
\(875\) | −1.49827e8 | − | 4.86818e7i | −0.223649 | − | 0.0726679i | ||||
\(876\) | 49697.6 | − | 2.90808e6i | 7.39304e−5 | − | 0.00432608i | ||||
\(877\) | 4.82169e8 | + | 3.50316e8i | 0.714826 | + | 0.519352i | 0.884727 | − | 0.466110i | \(-0.154345\pi\) |
−0.169901 | + | 0.985461i | \(0.554345\pi\) | |||||||
\(878\) | −7.28386e8 | + | 2.36667e8i | −1.07616 | + | 0.349666i | ||||
\(879\) | −3.49330e8 | − | 2.63039e8i | −0.514363 | − | 0.387305i | ||||
\(880\) | 7.90244e8 | − | 1.42641e8i | 1.15961 | − | 0.209314i | ||||
\(881\) | − | 3.47755e8i | − | 0.508564i | −0.967130 | − | 0.254282i | \(-0.918161\pi\) | ||
0.967130 | − | 0.254282i | \(-0.0818391\pi\) | |||||||
\(882\) | −6.35005e8 | − | 9.39951e8i | −0.925490 | − | 1.36993i | ||||
\(883\) | 5.45621e8 | + | 3.96417e8i | 0.792517 | + | 0.575797i | 0.908709 | − | 0.417429i | \(-0.137069\pi\) |
−0.116192 | + | 0.993227i | \(0.537069\pi\) | |||||||
\(884\) | −9.71789e8 | − | 1.33755e9i | −1.40674 | − | 1.93622i | ||||
\(885\) | −1.78507e7 | − | 2.54736e7i | −0.0257529 | − | 0.0367503i | ||||
\(886\) | 1.49445e8 | − | 4.59943e8i | 0.214871 | − | 0.661306i | ||||
\(887\) | 6.63964e7 | + | 9.13868e7i | 0.0951423 | + | 0.130952i | 0.853934 | − | 0.520381i | \(-0.174210\pi\) |
−0.758792 | + | 0.651333i | \(0.774210\pi\) | |||||||
\(888\) | 7.94133e8 | + | 2.59410e9i | 1.13411 | + | 3.70466i | ||||
\(889\) | 6.60507e7 | + | 2.03283e8i | 0.0940095 | + | 0.289332i | ||||
\(890\) | 3.29403e8i | 0.467259i | ||||||||
\(891\) | −6.44600e8 | + | 2.91260e8i | −0.911291 | + | 0.411763i | ||||
\(892\) | 3.54863e8 | 0.499996 | ||||||||
\(893\) | 9.04743e8 | − | 2.93969e8i | 1.27049 | − | 0.412807i | ||||
\(894\) | −4.86733e7 | + | 1.49004e7i | −0.0681206 | + | 0.0208538i | ||||
\(895\) | −4.46721e7 | + | 3.24562e7i | −0.0623114 | + | 0.0452719i | ||||
\(896\) | −6.92311e8 | − | 2.24945e8i | −0.962447 | − | 0.312718i | ||||
\(897\) | −6.52448e8 | + | 4.57204e8i | −0.904000 | + | 0.633480i | ||||
\(898\) | −1.14021e9 | + | 8.28414e8i | −1.57455 | + | 1.14398i | ||||
\(899\) | 2.01355e8 | − | 2.77141e8i | 0.277130 | − | 0.381436i | ||||
\(900\) | −1.44075e9 | + | 9.73331e8i | −1.97634 | + | 1.33516i | ||||
\(901\) | −6.49386e8 | −0.887827 | ||||||||
\(902\) | 5.60213e8 | − | 3.00785e8i | 0.763367 | − | 0.409861i | ||||
\(903\) | 9.30332e6 | − | 1.23553e7i | 0.0126350 | − | 0.0167799i | ||||
\(904\) | 9.70704e8 | + | 2.98752e9i | 1.31396 | + | 4.04395i | ||||
\(905\) | 7.61361e7 | − | 1.04792e8i | 0.102718 | − | 0.141379i | ||||
\(906\) | 2.29250e9 | + | 3.91776e7i | 3.08265 | + | 0.0526809i | ||||
\(907\) | −3.39605e8 | + | 1.04520e9i | −0.455147 | + | 1.40080i | 0.415816 | + | 0.909449i | \(0.363496\pi\) |
−0.870963 | + | 0.491349i | \(0.836504\pi\) | |||||||
\(908\) | −1.71720e9 | − | 5.57952e8i | −2.29384 | − | 0.745314i | ||||
\(909\) | 3.35772e8 | − | 4.30417e8i | 0.447047 | − | 0.573057i | ||||
\(910\) | 1.03469e8 | + | 7.51743e7i | 0.137304 | + | 0.0997574i | ||||
\(911\) | −3.39666e8 | + | 1.10364e8i | −0.449260 | + | 0.145973i | −0.524904 | − | 0.851162i | \(-0.675899\pi\) |
0.0756442 | + | 0.997135i | \(0.475899\pi\) | |||||||
\(912\) | −1.89146e9 | + | 2.51196e9i | −2.49352 | + | 3.31153i | ||||
\(913\) | −1.22532e8 | − | 2.28216e8i | −0.161004 | − | 0.299871i | ||||
\(914\) | 1.17642e9i | 1.54072i | ||||||||
\(915\) | −3.48225e7 | + | 1.01252e8i | −0.0454566 | + | 0.132172i | ||||
\(916\) | −2.60633e9 | − | 1.89361e9i | −3.39112 | − | 2.46379i | ||||
\(917\) | −1.95383e8 | − | 2.68922e8i | −0.253384 | − | 0.348754i | ||||
\(918\) | −1.17184e9 | + | 1.45035e9i | −1.51475 | + | 1.87476i | ||||
\(919\) | −9.06802e7 | + | 2.79085e8i | −0.116833 | + | 0.359575i | −0.992325 | − | 0.123658i | \(-0.960538\pi\) |
0.875492 | + | 0.483233i | \(0.160538\pi\) | |||||||
\(920\) | −7.69658e8 | − | 1.05934e9i | −0.988404 | − | 1.36042i | ||||
\(921\) | 1.11396e8 | − | 3.41017e7i | 0.142590 | − | 0.0436513i | ||||
\(922\) | −8.18949e8 | − | 2.52047e9i | −1.04487 | − | 3.21579i | ||||
\(923\) | 4.17155e8i | 0.530508i | ||||||||
\(924\) | 5.55538e8 | − | 5.60462e8i | 0.704203 | − | 0.710445i | ||||
\(925\) | −8.41963e8 | −1.06382 | ||||||||
\(926\) | 7.25947e8 | − | 2.35875e8i | 0.914265 | − | 0.297063i | ||||
\(927\) | −1.28841e8 | + | 3.54794e8i | −0.161739 | + | 0.445387i | ||||
\(928\) | 2.23899e9 | − | 1.62672e9i | 2.80162 | − | 2.03549i | ||||
\(929\) | 1.21084e9 | + | 3.93427e8i | 1.51022 | + | 0.490701i | 0.942980 | − | 0.332850i | \(-0.108010\pi\) |
0.567242 | + | 0.823551i | \(0.308010\pi\) | |||||||
\(930\) | 1.42436e8 | + | 2.03262e8i | 0.177081 | + | 0.252701i | ||||
\(931\) | 6.61205e8 | − | 4.80393e8i | 0.819383 | − | 0.595317i | ||||
\(932\) | 1.86507e9 | − | 2.56705e9i | 2.30381 | − | 3.17093i | ||||
\(933\) | 5.22061e8 | − | 1.51798e9i | 0.642801 | − | 1.86905i | ||||
\(934\) | 1.27303e9 | 1.56242 | ||||||||
\(935\) | 6.09425e7 | + | 3.37626e8i | 0.0745565 | + | 0.413049i | ||||
\(936\) | 1.80984e9 | − | 5.20396e8i | 2.20706 | − | 0.634609i | ||||
\(937\) | 1.43231e8 | + | 4.40820e8i | 0.174108 | + | 0.535850i | 0.999592 | − | 0.0285766i | \(-0.00909744\pi\) |
−0.825483 | + | 0.564426i | \(0.809097\pi\) | |||||||
\(938\) | 5.55670e8 | − | 7.64814e8i | 0.673300 | − | 0.926717i | ||||
\(939\) | −1.63271e7 | + | 9.55392e8i | −0.0197203 | + | 1.15394i | ||||
\(940\) | 2.61706e8 | − | 8.05449e8i | 0.315087 | − | 0.969738i | ||||
\(941\) | −6.07150e8 | − | 1.97275e8i | −0.728663 | − | 0.236757i | −0.0788880 | − | 0.996883i | \(-0.525137\pi\) |
−0.649775 | + | 0.760126i | \(0.725137\pi\) | |||||||
\(942\) | −1.65360e9 | − | 2.82590e7i | −1.97823 | − | 0.0338069i | ||||
\(943\) | −4.76125e8 | − | 3.45925e8i | −0.567787 | − | 0.412522i | ||||
\(944\) | 3.78565e8 | − | 1.23003e8i | 0.450013 | − | 0.146218i | ||||
\(945\) | 3.75564e7 | − | 9.81593e7i | 0.0445029 | − | 0.116315i | ||||
\(946\) | −8.25214e7 | − | 3.98358e7i | −0.0974750 | − | 0.0470544i | ||||
\(947\) | 6.49572e7i | 0.0764851i | 0.999268 | + | 0.0382426i | \(0.0121760\pi\) | ||||
−0.999268 | + | 0.0382426i | \(0.987824\pi\) | |||||||
\(948\) | 1.42177e9 | + | 4.88975e8i | 1.66880 | + | 0.573933i | ||||
\(949\) | −790940. | − | 574652.i | −0.000925433 | − | 0.000672366i | ||||
\(950\) | −1.01057e9 | − | 1.39093e9i | −1.17868 | − | 1.62232i | ||||
\(951\) | 3.16155e8 | − | 2.21546e8i | 0.367585 | − | 0.257586i | ||||
\(952\) | 4.03421e8 | − | 1.24160e9i | 0.467572 | − | 1.43904i | ||||
\(953\) | −6.64068e8 | − | 9.14012e8i | −0.767245 | − | 1.05602i | −0.996577 | − | 0.0826739i | \(-0.973654\pi\) |
0.229332 | − | 0.973348i | \(-0.426346\pi\) | |||||||
\(954\) | 4.02299e8 | − | 1.10783e9i | 0.463344 | − | 1.27593i | ||||
\(955\) | −7.04792e6 | − | 2.16913e7i | −0.00809191 | − | 0.0249043i | ||||
\(956\) | 3.00536e9i | 3.43971i | ||||||||
\(957\) | 1.38188e8 | + | 8.48241e8i | 0.157664 | + | 0.967795i | ||||
\(958\) | −2.88300e9 | −3.27905 | ||||||||
\(959\) | −2.45606e8 | + | 7.98021e7i | −0.278473 | + | 0.0904812i | ||||
\(960\) | 2.81788e8 | + | 9.20482e8i | 0.318499 | + | 1.04040i | ||||
\(961\) | 5.52003e8 | − | 4.01054e8i | 0.621973 | − | 0.451890i | ||||
\(962\) | 1.38195e9 | + | 4.49021e8i | 1.55226 | + | 0.504361i | ||||
\(963\) | 2.00007e7 | − | 5.85006e8i | 0.0223958 | − | 0.655060i | ||||
\(964\) | 3.19734e9 | − | 2.32300e9i | 3.56909 | − | 2.59309i | ||||
\(965\) | −1.62145e7 | + | 2.23173e7i | −0.0180435 | + | 0.0248348i | ||||
\(966\) | −9.47918e8 | − | 3.26007e8i | −1.05157 | − | 0.361656i | ||||
\(967\) | 4.01098e8 | 0.443579 | 0.221790 | − | 0.975095i | \(-0.428810\pi\) | ||||
0.221790 | + | 0.975095i | \(0.428810\pi\) | |||||||
\(968\) | −2.44577e9 | − | 1.62105e9i | −2.69644 | − | 1.78719i | ||||
\(969\) | −1.07322e9 | − | 8.08112e8i | −1.17955 | − | 0.888179i | ||||
\(970\) | 2.30878e8 | + | 7.10569e8i | 0.252969 | + | 0.778559i | ||||
\(971\) | 6.30039e8 | − | 8.67174e8i | 0.688192 | − | 0.947215i | −0.311804 | − | 0.950146i | \(-0.600933\pi\) |
0.999996 | + | 0.00293184i | \(0.000933236\pi\) | |||||||
\(972\) | −1.27387e9 | − | 2.11132e9i | −1.38716 | − | 2.29909i | ||||
\(973\) | −3.86597e7 | + | 1.18982e8i | −0.0419682 | + | 0.129165i | ||||
\(974\) | 1.79806e9 | + | 5.84224e8i | 1.94593 | + | 0.632270i | ||||
\(975\) | −9.98640e6 | + | 5.84361e8i | −0.0107745 | + | 0.630474i | ||||
\(976\) | −1.10850e9 | − | 8.05369e8i | −1.19230 | − | 0.866255i | ||||
\(977\) | −1.02138e9 | + | 3.31867e8i | −1.09523 | + | 0.355861i | −0.800265 | − | 0.599647i | \(-0.795308\pi\) |
−0.294964 | + | 0.955508i | \(0.595308\pi\) | |||||||
\(978\) | 1.01342e9 | + | 7.63089e8i | 1.08336 | + | 0.815753i | ||||
\(979\) | 4.72596e8 | − | 4.93368e8i | 0.503665 | − | 0.525802i | ||||
\(980\) | − | 7.27597e8i | − | 0.773059i | ||||||
\(981\) | −6.65775e8 | + | 4.49780e8i | −0.705214 | + | 0.476423i | ||||
\(982\) | 1.87770e9 | + | 1.36423e9i | 1.98286 | + | 1.44063i | ||||
\(983\) | −4.09681e8 | − | 5.63878e8i | −0.431306 | − | 0.593642i | 0.536947 | − | 0.843616i | \(-0.319578\pi\) |
−0.968252 | + | 0.249975i | \(0.919578\pi\) | |||||||
\(984\) | 7.98324e8 | + | 1.13924e9i | 0.837903 | + | 1.19572i | ||||
\(985\) | −6.01678e7 | + | 1.85178e8i | −0.0629587 | + | 0.193767i | ||||
\(986\) | 1.33162e9 | + | 1.83281e9i | 1.38915 | + | 1.91200i | ||||
\(987\) | −1.19103e8 | − | 3.89060e8i | −0.123871 | − | 0.404636i | ||||
\(988\) | 6.68091e8 | + | 2.05617e9i | 0.692732 | + | 2.13201i | ||||
\(989\) | 8.48124e7i | 0.0876740i | ||||||||
\(990\) | −6.13730e8 | − | 1.05196e8i | −0.632517 | − | 0.108416i | ||||
\(991\) | 1.18644e8 | 0.121906 | 0.0609531 | − | 0.998141i | \(-0.480586\pi\) | ||||
0.0609531 | + | 0.998141i | \(0.480586\pi\) | |||||||
\(992\) | −1.57657e9 | + | 5.12260e8i | −1.61503 | + | 0.524754i | ||||
\(993\) | 4.97446e8 | − | 1.52283e8i | 0.508040 | − | 0.155526i | ||||
\(994\) | −4.24628e8 | + | 3.08510e8i | −0.432364 | + | 0.314131i | ||||
\(995\) | 2.32250e8 | + | 7.54627e7i | 0.235769 | + | 0.0766061i | ||||
\(996\) | 7.39499e8 | − | 5.18206e8i | 0.748445 | − | 0.524475i | ||||
\(997\) | −7.16637e8 | + | 5.20668e8i | −0.723126 | + | 0.525382i | −0.887381 | − | 0.461036i | \(-0.847478\pi\) |
0.164255 | + | 0.986418i | \(0.447478\pi\) | |||||||
\(998\) | −8.12317e8 | + | 1.11806e9i | −0.817210 | + | 1.12479i | ||||
\(999\) | 6.11854e7 | − | 1.19250e9i | 0.0613694 | − | 1.19609i |
(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 | 33.7.h.a.5.1 | ✓ | 88 | |
3.2 | odd | 2 | inner | 33.7.h.a.5.22 | yes | 88 | |
11.9 | even | 5 | inner | 33.7.h.a.20.22 | yes | 88 | |
33.20 | odd | 10 | inner | 33.7.h.a.20.1 | yes | 88 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
33.7.h.a.5.1 | ✓ | 88 | 1.1 | even | 1 | trivial | |
33.7.h.a.5.22 | yes | 88 | 3.2 | odd | 2 | inner | |
33.7.h.a.20.1 | yes | 88 | 33.20 | odd | 10 | inner | |
33.7.h.a.20.22 | yes | 88 | 11.9 | even | 5 | inner |