Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [25,8,Mod(4,25)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(25, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 8, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("25.4");
S:= CuspForms(chi, 8);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 25 = 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 8 \) |
Character orbit: | \([\chi]\) | \(=\) | 25.e (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: | \(7.80962563710\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 19.6 | ||
Character | \(\chi\) | \(=\) | 25.19 |
Dual form | 25.8.e.a.4.6 |
$q$-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 \(\left(\mathbb{Z}/25\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{9}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −8.12319 | + | 2.63939i | −0.717996 | + | 0.233291i | −0.645154 | − | 0.764053i | \(-0.723207\pi\) |
−0.0728417 | + | 0.997344i | \(0.523207\pi\) | |||||||
\(3\) | 22.8316 | + | 31.4250i | 0.488216 | + | 0.671972i | 0.980058 | − | 0.198713i | \(-0.0636761\pi\) |
−0.491842 | + | 0.870685i | \(0.663676\pi\) | |||||||
\(4\) | −44.5343 | + | 32.3560i | −0.347924 | + | 0.252782i | ||||
\(5\) | −192.399 | − | 202.750i | −0.688349 | − | 0.725380i | ||||
\(6\) | −268.408 | − | 195.010i | −0.507302 | − | 0.368577i | ||||
\(7\) | 1367.16i | 1.50653i | 0.657718 | + | 0.753265i | \(0.271522\pi\) | ||||
−0.657718 | + | 0.753265i | \(0.728478\pi\) | |||||||
\(8\) | 918.973 | − | 1264.86i | 0.634582 | − | 0.873427i | ||||
\(9\) | 209.571 | − | 644.993i | 0.0958257 | − | 0.294921i | ||||
\(10\) | 2098.03 | + | 1139.16i | 0.663456 | + | 0.360234i | ||||
\(11\) | −1961.71 | − | 6037.53i | −0.444386 | − | 1.36768i | −0.883155 | − | 0.469080i | \(-0.844585\pi\) |
0.438769 | − | 0.898600i | \(-0.355415\pi\) | |||||||
\(12\) | −2033.58 | − | 660.750i | −0.339724 | − | 0.110383i | ||||
\(13\) | −8376.27 | − | 2721.62i | −1.05742 | − | 0.343578i | −0.271846 | − | 0.962341i | \(-0.587634\pi\) |
−0.785578 | + | 0.618763i | \(0.787634\pi\) | |||||||
\(14\) | −3608.47 | − | 11105.7i | −0.351460 | − | 1.08168i | ||||
\(15\) | 1978.62 | − | 10675.3i | 0.151371 | − | 0.816693i | ||||
\(16\) | −1949.19 | + | 5999.00i | −0.118969 | + | 0.366150i | ||||
\(17\) | 14440.5 | − | 19875.7i | 0.712872 | − | 0.981184i | −0.286859 | − | 0.957973i | \(-0.592611\pi\) |
0.999731 | − | 0.0232111i | \(-0.00738900\pi\) | |||||||
\(18\) | 5792.54i | 0.234107i | ||||||||
\(19\) | −4626.37 | − | 3361.25i | −0.154740 | − | 0.112425i | 0.507721 | − | 0.861521i | \(-0.330488\pi\) |
−0.662461 | + | 0.749096i | \(0.730488\pi\) | |||||||
\(20\) | 15128.5 | + | 2804.03i | 0.422856 | + | 0.0783749i | ||||
\(21\) | −42963.2 | + | 31214.6i | −1.01235 | + | 0.735512i | ||||
\(22\) | 31870.7 | + | 43866.3i | 0.638135 | + | 0.878317i | ||||
\(23\) | −51422.5 | + | 16708.2i | −0.881264 | + | 0.286340i | −0.714482 | − | 0.699654i | \(-0.753338\pi\) |
−0.166782 | + | 0.985994i | \(0.553338\pi\) | |||||||
\(24\) | 60729.8 | 0.896732 | ||||||||
\(25\) | −4089.91 | + | 78017.9i | −0.0523509 | + | 0.998629i | ||||
\(26\) | 75225.5 | 0.839379 | ||||||||
\(27\) | 105847. | − | 34391.7i | 1.03491 | − | 0.336264i | ||||
\(28\) | −44236.0 | − | 60885.6i | −0.380823 | − | 0.524158i | ||||
\(29\) | −153902. | + | 111817.i | −1.17180 | + | 0.851360i | −0.991223 | − | 0.132202i | \(-0.957795\pi\) |
−0.180573 | + | 0.983562i | \(0.557795\pi\) | |||||||
\(30\) | 12103.4 | + | 91939.5i | 0.0818431 | + | 0.621696i | ||||
\(31\) | −160670. | − | 116734.i | −0.968655 | − | 0.703769i | −0.0135105 | − | 0.999909i | \(-0.504301\pi\) |
−0.955145 | + | 0.296140i | \(0.904301\pi\) | |||||||
\(32\) | 146246.i | 0.788967i | ||||||||
\(33\) | 144940. | − | 199493.i | 0.702086 | − | 0.966339i | ||||
\(34\) | −64843.6 | + | 199568.i | −0.282938 | + | 0.870792i | ||||
\(35\) | 277192. | − | 263042.i | 1.09281 | − | 1.03702i | ||||
\(36\) | 11536.3 | + | 35505.2i | 0.0412106 | + | 0.126833i | ||||
\(37\) | 125663. | + | 40830.4i | 0.407851 | + | 0.132519i | 0.505755 | − | 0.862677i | \(-0.331214\pi\) |
−0.0979044 | + | 0.995196i | \(0.531214\pi\) | |||||||
\(38\) | 46452.5 | + | 15093.3i | 0.137330 | + | 0.0446213i | ||||
\(39\) | −105717. | − | 325363.i | −0.285377 | − | 0.878299i | ||||
\(40\) | −433259. | + | 57036.4i | −1.07038 | + | 0.140910i | ||||
\(41\) | −223935. | + | 689201.i | −0.507433 | + | 1.56172i | 0.289209 | + | 0.957266i | \(0.406608\pi\) |
−0.796642 | + | 0.604452i | \(0.793392\pi\) | |||||||
\(42\) | 266611. | − | 366958.i | 0.555271 | − | 0.764265i | ||||
\(43\) | − | 510583.i | − | 0.979324i | −0.871912 | − | 0.489662i | \(-0.837120\pi\) | ||
0.871912 | − | 0.489662i | \(-0.162880\pi\) | |||||||
\(44\) | 282714. | + | 205404.i | 0.500337 | + | 0.363516i | ||||
\(45\) | −171093. | + | 81605.8i | −0.279891 | + | 0.133499i | ||||
\(46\) | 373616. | − | 271448.i | 0.565943 | − | 0.411182i | ||||
\(47\) | −277890. | − | 382483.i | −0.390418 | − | 0.537365i | 0.567889 | − | 0.823105i | \(-0.307760\pi\) |
−0.958307 | + | 0.285741i | \(0.907760\pi\) | |||||||
\(48\) | −233022. | + | 75713.4i | −0.304125 | + | 0.0988163i | ||||
\(49\) | −1.04559e6 | −1.26963 | ||||||||
\(50\) | −172696. | − | 644549.i | −0.195383 | − | 0.729224i | ||||
\(51\) | 954293. | 1.00736 | ||||||||
\(52\) | 461092. | − | 149818.i | 0.454753 | − | 0.147758i | ||||
\(53\) | −883187. | − | 1.21560e6i | −0.814867 | − | 1.12157i | −0.990554 | − | 0.137123i | \(-0.956215\pi\) |
0.175687 | − | 0.984446i | \(-0.443785\pi\) | |||||||
\(54\) | −769040. | + | 558740.i | −0.664616 | + | 0.482872i | ||||
\(55\) | −846675. | + | 1.55935e6i | −0.686194 | + | 1.26379i | ||||
\(56\) | 1.72927e6 | + | 1.25639e6i | 1.31584 | + | 0.956016i | ||||
\(57\) | − | 222126.i | − | 0.158869i | ||||||
\(58\) | 955051. | − | 1.31452e6i | 0.642730 | − | 0.884642i | ||||
\(59\) | 160423. | − | 493732.i | 0.101692 | − | 0.312974i | −0.887248 | − | 0.461292i | \(-0.847386\pi\) |
0.988940 | + | 0.148318i | \(0.0473859\pi\) | |||||||
\(60\) | 257292. | + | 539435.i | 0.153779 | + | 0.322411i | ||||
\(61\) | −75465.5 | − | 232259.i | −0.0425690 | − | 0.131014i | 0.927513 | − | 0.373790i | \(-0.121942\pi\) |
−0.970082 | + | 0.242776i | \(0.921942\pi\) | |||||||
\(62\) | 1.61326e6 | + | 524180.i | 0.859673 | + | 0.279325i | ||||
\(63\) | 881811. | + | 286518.i | 0.444308 | + | 0.144364i | ||||
\(64\) | −635496. | − | 1.95586e6i | −0.303028 | − | 0.932625i | ||||
\(65\) | 1.05978e6 | + | 2.22192e6i | 0.478653 | + | 1.00354i | ||||
\(66\) | −650839. | + | 2.00308e6i | −0.278657 | + | 0.857617i | ||||
\(67\) | −883887. | + | 1.21657e6i | −0.359033 | + | 0.494167i | −0.949879 | − | 0.312617i | \(-0.898794\pi\) |
0.590846 | + | 0.806785i | \(0.298794\pi\) | |||||||
\(68\) | 1.35239e6i | 0.521578i | ||||||||
\(69\) | −1.69911e6 | − | 1.23448e6i | −0.622660 | − | 0.452389i | ||||
\(70\) | −1.55742e6 | + | 2.86835e6i | −0.542703 | + | 0.999516i | ||||
\(71\) | 780959. | − | 567400.i | 0.258955 | − | 0.188142i | −0.450731 | − | 0.892660i | \(-0.648837\pi\) |
0.709686 | + | 0.704518i | \(0.248837\pi\) | |||||||
\(72\) | −623234. | − | 857808.i | −0.196783 | − | 0.270849i | ||||
\(73\) | −2.06466e6 | + | 670849.i | −0.621182 | + | 0.201834i | −0.602665 | − | 0.797994i | \(-0.705894\pi\) |
−0.0185170 | + | 0.999829i | \(0.505894\pi\) | |||||||
\(74\) | −1.12855e6 | −0.323750 | ||||||||
\(75\) | −2.54509e6 | + | 1.65275e6i | −0.696609 | + | 0.452368i | ||||
\(76\) | 314789. | 0.0822567 | ||||||||
\(77\) | 8.25429e6 | − | 2.68198e6i | 2.06045 | − | 0.669481i | ||||
\(78\) | 1.71752e6 | + | 2.36396e6i | 0.409799 | + | 0.564039i | ||||
\(79\) | −228774. | + | 166214.i | −0.0522051 | + | 0.0379292i | −0.613582 | − | 0.789631i | \(-0.710272\pi\) |
0.561377 | + | 0.827560i | \(0.310272\pi\) | |||||||
\(80\) | 1.59132e6 | − | 759006.i | 0.347490 | − | 0.165741i | ||||
\(81\) | 2.29748e6 | + | 1.66922e6i | 0.480346 | + | 0.348992i | ||||
\(82\) | − | 6.18957e6i | − | 1.23969i | ||||||
\(83\) | 2.24108e6 | − | 3.08458e6i | 0.430213 | − | 0.592138i | −0.537789 | − | 0.843080i | \(-0.680740\pi\) |
0.968002 | + | 0.250942i | \(0.0807402\pi\) | |||||||
\(84\) | 903353. | − | 2.78024e6i | 0.166295 | − | 0.511804i | ||||
\(85\) | −6.80813e6 | + | 896256.i | −1.20244 | + | 0.158295i | ||||
\(86\) | 1.34762e6 | + | 4.14756e6i | 0.228467 | + | 0.703151i | ||||
\(87\) | −7.02768e6 | − | 2.28343e6i | −1.14418 | − | 0.371767i | ||||
\(88\) | −9.43937e6 | − | 3.06704e6i | −1.47657 | − | 0.479766i | ||||
\(89\) | −845783. | − | 2.60305e6i | −0.127173 | − | 0.391397i | 0.867118 | − | 0.498103i | \(-0.165970\pi\) |
−0.994291 | + | 0.106706i | \(0.965970\pi\) | |||||||
\(90\) | 1.17444e6 | − | 1.11448e6i | 0.169817 | − | 0.161148i | ||||
\(91\) | 3.72090e6 | − | 1.14517e7i | 0.517610 | − | 1.59304i | ||||
\(92\) | 1.74945e6 | − | 2.40792e6i | 0.234231 | − | 0.322392i | ||||
\(93\) | − | 7.71428e6i | − | 0.994501i | ||||||
\(94\) | 3.26687e6 | + | 2.37352e6i | 0.405681 | + | 0.294745i | ||||
\(95\) | 208617. | + | 1.58470e6i | 0.0249642 | + | 0.189633i | ||||
\(96\) | −4.59578e6 | + | 3.33903e6i | −0.530164 | + | 0.385186i | ||||
\(97\) | 1.02620e7 | + | 1.41244e7i | 1.14165 | + | 1.57134i | 0.763777 | + | 0.645480i | \(0.223343\pi\) |
0.377868 | + | 0.925859i | \(0.376657\pi\) | |||||||
\(98\) | 8.49357e6 | − | 2.75973e6i | 0.911589 | − | 0.296193i | ||||
\(99\) | −4.30528e6 | −0.445942 | ||||||||
\(100\) | −2.34221e6 | − | 3.60680e6i | −0.234221 | − | 0.360680i | ||||
\(101\) | −1.13881e7 | −1.09983 | −0.549917 | − | 0.835219i | \(-0.685341\pi\) | ||||
−0.549917 | + | 0.835219i | \(0.685341\pi\) | |||||||
\(102\) | −7.75191e6 | + | 2.51875e6i | −0.723283 | + | 0.235009i | ||||
\(103\) | −692764. | − | 953508.i | −0.0624676 | − | 0.0859793i | 0.776640 | − | 0.629944i | \(-0.216922\pi\) |
−0.839108 | + | 0.543965i | \(0.816922\pi\) | |||||||
\(104\) | −1.11400e7 | + | 8.09370e6i | −0.971112 | + | 0.705554i | ||||
\(105\) | 1.45948e7 | + | 2.70511e6i | 1.23037 | + | 0.228046i | ||||
\(106\) | 1.03827e7 | + | 7.54350e6i | 0.846723 | + | 0.615180i | ||||
\(107\) | 3.48837e6i | 0.275283i | 0.990482 | + | 0.137641i | \(0.0439522\pi\) | ||||
−0.990482 | + | 0.137641i | \(0.956048\pi\) | |||||||
\(108\) | −3.60102e6 | + | 4.95638e6i | −0.275070 | + | 0.378601i | ||||
\(109\) | −2.35624e6 | + | 7.25175e6i | −0.174271 | + | 0.536352i | −0.999599 | − | 0.0283013i | \(-0.990990\pi\) |
0.825328 | + | 0.564654i | \(0.190990\pi\) | |||||||
\(110\) | 2.76197e6 | − | 1.49016e7i | 0.197854 | − | 1.06748i | ||||
\(111\) | 1.58599e6 | + | 4.88118e6i | 0.110070 | + | 0.338762i | ||||
\(112\) | −8.20162e6 | − | 2.66487e6i | −0.551616 | − | 0.179231i | ||||
\(113\) | 1.58033e7 | + | 5.13482e6i | 1.03033 | + | 0.334773i | 0.774919 | − | 0.632061i | \(-0.217791\pi\) |
0.255406 | + | 0.966834i | \(0.417791\pi\) | |||||||
\(114\) | 586277. | + | 1.80438e6i | 0.0370626 | + | 0.114067i | ||||
\(115\) | 1.32812e7 | + | 7.21125e6i | 0.814322 | + | 0.442149i | ||||
\(116\) | 3.23598e6 | − | 9.95934e6i | 0.192488 | − | 0.592417i | ||||
\(117\) | −3.51085e6 | + | 4.83227e6i | −0.202657 | + | 0.278933i | ||||
\(118\) | 4.43410e6i | 0.248438i | ||||||||
\(119\) | 2.71733e7 | + | 1.97426e7i | 1.47818 | + | 1.07396i | ||||
\(120\) | −1.16844e7 | − | 1.23130e7i | −0.617264 | − | 0.650471i | ||||
\(121\) | −1.68379e7 | + | 1.22335e7i | −0.864053 | + | 0.627771i | ||||
\(122\) | 1.22604e6 | + | 1.68750e6i | 0.0611288 | + | 0.0841365i | ||||
\(123\) | −2.67710e7 | + | 8.69841e6i | −1.29717 | + | 0.421475i | ||||
\(124\) | 1.09324e7 | 0.514918 | ||||||||
\(125\) | 1.66050e7 | − | 1.41814e7i | 0.760421 | − | 0.649431i | ||||
\(126\) | −7.91935e6 | −0.352690 | ||||||||
\(127\) | −3.43323e6 | + | 1.11552e6i | −0.148727 | + | 0.0483243i | −0.382434 | − | 0.923983i | \(-0.624914\pi\) |
0.233707 | + | 0.972307i | \(0.424914\pi\) | |||||||
\(128\) | −678516. | − | 933897.i | −0.0285973 | − | 0.0393608i | ||||
\(129\) | 1.60451e7 | − | 1.16574e7i | 0.658078 | − | 0.478122i | ||||
\(130\) | −1.44733e7 | − | 1.52519e7i | −0.577786 | − | 0.608869i | ||||
\(131\) | −1.39770e7 | − | 1.01549e7i | −0.543205 | − | 0.394662i | 0.282069 | − | 0.959394i | \(-0.408979\pi\) |
−0.825274 | + | 0.564733i | \(0.808979\pi\) | |||||||
\(132\) | 1.35740e7i | 0.513687i | ||||||||
\(133\) | 4.59538e6 | − | 6.32500e6i | 0.169372 | − | 0.233120i | ||||
\(134\) | 3.96900e6 | − | 1.22153e7i | 0.142500 | − | 0.438569i | ||||
\(135\) | −2.73377e7 | − | 1.48434e7i | −0.956300 | − | 0.519238i | ||||
\(136\) | −1.18694e7 | − | 3.65304e7i | −0.404617 | − | 1.24528i | ||||
\(137\) | −3.44570e6 | − | 1.11958e6i | −0.114487 | − | 0.0371991i | 0.251213 | − | 0.967932i | \(-0.419170\pi\) |
−0.365700 | + | 0.930733i | \(0.619170\pi\) | |||||||
\(138\) | 1.70605e7 | + | 5.54329e6i | 0.552605 | + | 0.179552i | ||||
\(139\) | −4.33445e6 | − | 1.33401e7i | −0.136893 | − | 0.421314i | 0.858986 | − | 0.511998i | \(-0.171095\pi\) |
−0.995880 | + | 0.0906843i | \(0.971095\pi\) | |||||||
\(140\) | −3.83357e6 | + | 2.06832e7i | −0.118074 | + | 0.637044i | ||||
\(141\) | 5.67485e6 | − | 1.74654e7i | 0.170486 | − | 0.524701i | ||||
\(142\) | −4.84629e6 | + | 6.67035e6i | −0.142037 | + | 0.195497i | ||||
\(143\) | 5.59110e7i | 1.59890i | ||||||||
\(144\) | 3.46082e6 | + | 2.51443e6i | 0.0965851 | + | 0.0701732i | ||||
\(145\) | 5.22815e7 | + | 9.69021e6i | 1.42416 | + | 0.263964i | ||||
\(146\) | 1.50010e7 | − | 1.08989e7i | 0.398920 | − | 0.289832i | ||||
\(147\) | −2.38726e7 | − | 3.28578e7i | −0.619854 | − | 0.853156i | ||||
\(148\) | −6.91742e6 | + | 2.24760e6i | −0.175399 | + | 0.0569907i | ||||
\(149\) | 3.90160e7 | 0.966252 | 0.483126 | − | 0.875551i | \(-0.339501\pi\) | ||||
0.483126 | + | 0.875551i | \(0.339501\pi\) | |||||||
\(150\) | 1.63120e7 | − | 2.01431e7i | 0.394629 | − | 0.487311i | ||||
\(151\) | −4.04000e7 | −0.954910 | −0.477455 | − | 0.878656i | \(-0.658441\pi\) | ||||
−0.477455 | + | 0.878656i | \(0.658441\pi\) | |||||||
\(152\) | −8.50301e6 | + | 2.76280e6i | −0.196390 | + | 0.0638111i | ||||
\(153\) | −9.79335e6 | − | 1.34794e7i | −0.221061 | − | 0.304264i | ||||
\(154\) | −5.99724e7 | + | 4.35725e7i | −1.32321 | + | 0.961369i | ||||
\(155\) | 7.24512e6 | + | 5.50353e7i | 0.156273 | + | 1.18708i | ||||
\(156\) | 1.52355e7 | + | 1.10692e7i | 0.321307 | + | 0.233443i | ||||
\(157\) | − | 1.30696e7i | − | 0.269535i | −0.990877 | − | 0.134768i | \(-0.956971\pi\) | ||
0.990877 | − | 0.134768i | \(-0.0430288\pi\) | |||||||
\(158\) | 1.41968e6 | − | 1.95402e6i | 0.0286345 | − | 0.0394120i | ||||
\(159\) | 1.80357e7 | − | 5.55083e7i | 0.355831 | − | 1.09514i | ||||
\(160\) | 2.96513e7 | − | 2.81376e7i | 0.572300 | − | 0.543085i | ||||
\(161\) | −2.28428e7 | − | 7.03030e7i | −0.431379 | − | 1.32765i | ||||
\(162\) | −2.30686e7 | − | 7.49544e6i | −0.426303 | − | 0.138514i | ||||
\(163\) | 3.65704e7 | + | 1.18824e7i | 0.661414 | + | 0.214906i | 0.620440 | − | 0.784254i | \(-0.286954\pi\) |
0.0409737 | + | 0.999160i | \(0.486954\pi\) | |||||||
\(164\) | −1.23270e7 | − | 3.79387e7i | −0.218225 | − | 0.671629i | ||||
\(165\) | −6.83336e7 | + | 8.99577e6i | −1.18424 | + | 0.155899i | ||||
\(166\) | −1.00633e7 | + | 3.09717e7i | −0.170751 | + | 0.525517i | ||||
\(167\) | −1.56387e7 | + | 2.15248e7i | −0.259832 | + | 0.357629i | −0.918924 | − | 0.394434i | \(-0.870941\pi\) |
0.659092 | + | 0.752062i | \(0.270941\pi\) | |||||||
\(168\) | 8.30276e7i | 1.35095i | ||||||||
\(169\) | 1.19901e7 | + | 8.71135e6i | 0.191083 | + | 0.138830i | ||||
\(170\) | 5.29382e7 | − | 2.52497e7i | 0.826415 | − | 0.394172i | ||||
\(171\) | −3.13754e6 | + | 2.27955e6i | −0.0479846 | + | 0.0348629i | ||||
\(172\) | 1.65204e7 | + | 2.27384e7i | 0.247555 | + | 0.340730i | ||||
\(173\) | −2.64314e7 | + | 8.58809e6i | −0.388114 | + | 0.126106i | −0.496573 | − | 0.867995i | \(-0.665408\pi\) |
0.108459 | + | 0.994101i | \(0.465408\pi\) | |||||||
\(174\) | 6.31140e7 | 0.908246 | ||||||||
\(175\) | −1.06663e8 | − | 5.59158e6i | −1.50446 | − | 0.0788682i | ||||
\(176\) | 4.00429e7 | 0.553644 | ||||||||
\(177\) | 1.91782e7 | − | 6.23139e6i | 0.259957 | − | 0.0844653i | ||||
\(178\) | 1.37409e7 | + | 1.89127e7i | 0.182619 | + | 0.251353i | ||||
\(179\) | 9.37814e7 | − | 6.81362e7i | 1.22217 | − | 0.887957i | 0.225890 | − | 0.974153i | \(-0.427471\pi\) |
0.996278 | + | 0.0861955i | \(0.0274710\pi\) | |||||||
\(180\) | 4.97908e6 | − | 9.17016e6i | 0.0636349 | − | 0.117199i | ||||
\(181\) | 1.05948e8 | + | 7.69757e7i | 1.32806 | + | 0.964892i | 0.999794 | + | 0.0203060i | \(0.00646405\pi\) |
0.328265 | + | 0.944586i | \(0.393536\pi\) | |||||||
\(182\) | 1.02846e8i | 1.26455i | ||||||||
\(183\) | 5.57574e6 | − | 7.67435e6i | 0.0672549 | − | 0.0925684i | ||||
\(184\) | −2.61224e7 | + | 8.03965e7i | −0.309137 | + | 0.951426i | ||||
\(185\) | −1.58991e7 | − | 3.33339e7i | −0.184617 | − | 0.387066i | ||||
\(186\) | 2.03610e7 | + | 6.26646e7i | 0.232008 | + | 0.714047i | ||||
\(187\) | −1.48328e8 | − | 4.81947e7i | −1.65874 | − | 0.538956i | ||||
\(188\) | 2.47512e7 | + | 8.04217e6i | 0.271672 | + | 0.0882715i | ||||
\(189\) | 4.70190e7 | + | 1.44710e8i | 0.506591 | + | 1.55913i | ||||
\(190\) | −5.87727e6 | − | 1.23222e7i | −0.0621638 | − | 0.130332i | ||||
\(191\) | −1.31133e7 | + | 4.03587e7i | −0.136175 | + | 0.419102i | −0.995771 | − | 0.0918716i | \(-0.970715\pi\) |
0.859596 | + | 0.510974i | \(0.170715\pi\) | |||||||
\(192\) | 4.69534e7 | − | 6.46258e7i | 0.478754 | − | 0.658949i | ||||
\(193\) | − | 1.03759e8i | − | 1.03890i | −0.854500 | − | 0.519452i | \(-0.826136\pi\) | ||
0.854500 | − | 0.519452i | \(-0.173864\pi\) | |||||||
\(194\) | −1.20640e8 | − | 8.76501e7i | −1.18628 | − | 0.861880i | ||||
\(195\) | −4.56275e7 | + | 8.40338e7i | −0.440662 | + | 0.811583i | ||||
\(196\) | 4.65648e7 | − | 3.38313e7i | 0.441735 | − | 0.320939i | ||||
\(197\) | 9.25539e6 | + | 1.27390e7i | 0.0862508 | + | 0.118714i | 0.849962 | − | 0.526844i | \(-0.176625\pi\) |
−0.763711 | + | 0.645558i | \(0.776625\pi\) | |||||||
\(198\) | 3.49726e7 | − | 1.13633e7i | 0.320184 | − | 0.104034i | ||||
\(199\) | −1.71423e8 | −1.54199 | −0.770997 | − | 0.636838i | \(-0.780242\pi\) | ||||
−0.770997 | + | 0.636838i | \(0.780242\pi\) | |||||||
\(200\) | 9.49230e7 | + | 7.68695e7i | 0.839008 | + | 0.679436i | ||||
\(201\) | −5.84112e7 | −0.507352 | ||||||||
\(202\) | 9.25079e7 | − | 3.00576e7i | 0.789676 | − | 0.256581i | ||||
\(203\) | −1.52872e8 | − | 2.10410e8i | −1.28260 | − | 1.76535i | ||||
\(204\) | −4.24988e7 | + | 3.08772e7i | −0.350486 | + | 0.254643i | ||||
\(205\) | 1.82820e8 | − | 8.71992e7i | 1.48213 | − | 0.706926i | ||||
\(206\) | 8.14413e6 | + | 5.91706e6i | 0.0649097 | + | 0.0471596i | ||||
\(207\) | 3.66687e7i | 0.287342i | ||||||||
\(208\) | 3.26540e7 | − | 4.49443e7i | 0.251602 | − | 0.346300i | ||||
\(209\) | −1.12181e7 | + | 3.45256e7i | −0.0849974 | + | 0.261595i | ||||
\(210\) | −1.25696e8 | + | 1.65473e7i | −0.936603 | + | 0.123299i | ||||
\(211\) | −1.53449e7 | − | 4.72267e7i | −0.112454 | − | 0.346098i | 0.878954 | − | 0.476907i | \(-0.158242\pi\) |
−0.991407 | + | 0.130810i | \(0.958242\pi\) | |||||||
\(212\) | 7.86641e7 | + | 2.55595e7i | 0.567024 | + | 0.184237i | ||||
\(213\) | 3.56611e7 | + | 1.15870e7i | 0.252852 | + | 0.0821565i | ||||
\(214\) | −9.20715e6 | − | 2.83367e7i | −0.0642210 | − | 0.197652i | ||||
\(215\) | −1.03521e8 | + | 9.82358e7i | −0.710382 | + | 0.674117i | ||||
\(216\) | 5.37696e7 | − | 1.65486e8i | 0.363035 | − | 1.11731i | ||||
\(217\) | 1.59594e8 | − | 2.19662e8i | 1.06025 | − | 1.45931i | ||||
\(218\) | − | 6.51264e7i | − | 0.425755i | ||||||
\(219\) | −6.82210e7 | − | 4.95655e7i | −0.438898 | − | 0.318878i | ||||
\(220\) | −1.27484e7 | − | 9.68397e7i | −0.0807194 | − | 0.613160i | ||||
\(221\) | −1.75052e8 | + | 1.27182e8i | −1.09092 | + | 0.792600i | ||||
\(222\) | −2.57667e7 | − | 3.54648e7i | −0.158060 | − | 0.217551i | ||||
\(223\) | 8.10262e7 | − | 2.63270e7i | 0.489281 | − | 0.158977i | −0.0539779 | − | 0.998542i | \(-0.517190\pi\) |
0.543259 | + | 0.839565i | \(0.317190\pi\) | |||||||
\(224\) | −1.99942e8 | −1.18860 | ||||||||
\(225\) | 4.94638e7 | + | 1.89882e7i | 0.289500 | + | 0.111134i | ||||
\(226\) | −1.41926e8 | −0.817868 | ||||||||
\(227\) | 2.10408e8 | − | 6.83655e7i | 1.19391 | − | 0.387924i | 0.356392 | − | 0.934337i | \(-0.384007\pi\) |
0.837516 | + | 0.546413i | \(0.184007\pi\) | |||||||
\(228\) | 7.18713e6 | + | 9.89224e6i | 0.0401591 | + | 0.0552742i | ||||
\(229\) | 1.06521e8 | − | 7.73917e7i | 0.586151 | − | 0.425863i | −0.254786 | − | 0.966998i | \(-0.582005\pi\) |
0.840936 | + | 0.541134i | \(0.182005\pi\) | |||||||
\(230\) | −1.26919e8 | − | 2.35241e7i | −0.687829 | − | 0.127487i | ||||
\(231\) | 2.72740e8 | + | 1.98157e8i | 1.45582 | + | 1.05771i | ||||
\(232\) | 2.97421e8i | 1.56374i | ||||||||
\(233\) | 4.26368e7 | − | 5.86846e7i | 0.220820 | − | 0.303933i | −0.684206 | − | 0.729289i | \(-0.739851\pi\) |
0.905026 | + | 0.425356i | \(0.139851\pi\) | |||||||
\(234\) | 1.57651e7 | − | 4.85199e7i | 0.0804342 | − | 0.247551i | ||||
\(235\) | −2.40824e7 | + | 1.29932e8i | −0.121049 | + | 0.653096i | ||||
\(236\) | 8.83087e6 | + | 2.71786e7i | 0.0437332 | + | 0.134597i | ||||
\(237\) | −1.04466e7 | − | 3.39430e6i | −0.0509747 | − | 0.0165627i | ||||
\(238\) | −2.72842e8 | − | 8.86518e7i | −1.31187 | − | 0.426254i | ||||
\(239\) | 6.31687e7 | + | 1.94413e8i | 0.299302 | + | 0.921156i | 0.981742 | + | 0.190215i | \(0.0609185\pi\) |
−0.682441 | + | 0.730941i | \(0.739082\pi\) | |||||||
\(240\) | 6.01842e7 | + | 3.26779e7i | 0.281024 | + | 0.152586i | ||||
\(241\) | −4.82778e7 | + | 1.48584e8i | −0.222171 | + | 0.683773i | 0.776395 | + | 0.630246i | \(0.217046\pi\) |
−0.998566 | + | 0.0535264i | \(0.982954\pi\) | |||||||
\(242\) | 1.04489e8 | − | 1.43817e8i | 0.473933 | − | 0.652313i | ||||
\(243\) | − | 1.33090e8i | − | 0.595009i | ||||||
\(244\) | 1.08758e7 | + | 7.90171e6i | 0.0479287 | + | 0.0348223i | ||||
\(245\) | 2.01172e8 | + | 2.11994e8i | 0.873949 | + | 0.920964i | ||||
\(246\) | 1.94507e8 | − | 1.41318e8i | 0.833034 | − | 0.605235i | ||||
\(247\) | 2.96037e7 | + | 4.07460e7i | 0.124999 | + | 0.172046i | ||||
\(248\) | −2.95303e8 | + | 9.59497e7i | −1.22938 | + | 0.399450i | ||||
\(249\) | 1.48100e8 | 0.607937 | ||||||||
\(250\) | −9.74555e7 | + | 1.59025e8i | −0.394472 | + | 0.643688i | ||||
\(251\) | −3.73266e8 | −1.48991 | −0.744956 | − | 0.667114i | \(-0.767529\pi\) | ||||
−0.744956 | + | 0.667114i | \(0.767529\pi\) | |||||||
\(252\) | −4.85414e7 | + | 1.57721e7i | −0.191078 | + | 0.0620850i | ||||
\(253\) | 2.01752e8 | + | 2.77688e8i | 0.783243 | + | 1.07804i | ||||
\(254\) | 2.49445e7 | − | 1.81232e7i | 0.0955117 | − | 0.0693933i | ||||
\(255\) | −1.83606e8 | − | 1.93483e8i | −0.693418 | − | 0.730721i | ||||
\(256\) | 2.20937e8 | + | 1.60520e8i | 0.823053 | + | 0.597983i | ||||
\(257\) | − | 3.40452e7i | − | 0.125110i | −0.998042 | − | 0.0625548i | \(-0.980075\pi\) | ||
0.998042 | − | 0.0625548i | \(-0.0199248\pi\) | |||||||
\(258\) | −9.95688e7 | + | 1.37045e8i | −0.360956 | + | 0.496813i | ||||
\(259\) | −5.58218e7 | + | 1.71802e8i | −0.199643 | + | 0.614439i | ||||
\(260\) | −1.19089e8 | − | 6.46614e7i | −0.420210 | − | 0.228159i | ||||
\(261\) | 3.98675e7 | + | 1.22699e8i | 0.138796 | + | 0.427170i | ||||
\(262\) | 1.40340e8 | + | 4.55993e7i | 0.482090 | + | 0.156641i | ||||
\(263\) | −1.62250e7 | − | 5.27182e6i | −0.0549970 | − | 0.0178696i | 0.281389 | − | 0.959594i | \(-0.409205\pi\) |
−0.336386 | + | 0.941724i | \(0.609205\pi\) | |||||||
\(264\) | −1.19134e8 | − | 3.66658e8i | −0.398495 | − | 1.22644i | ||||
\(265\) | −7.65384e7 | + | 4.12947e8i | −0.252650 | + | 1.36312i | ||||
\(266\) | −2.06351e7 | + | 6.35082e7i | −0.0672234 | + | 0.206892i | ||||
\(267\) | 6.24904e7 | − | 8.60106e7i | 0.200920 | − | 0.276543i | ||||
\(268\) | − | 8.27780e7i | − | 0.262690i | ||||||
\(269\) | −2.99305e8 | − | 2.17458e8i | −0.937522 | − | 0.681150i | 0.0103009 | − | 0.999947i | \(-0.496721\pi\) |
−0.947823 | + | 0.318797i | \(0.896721\pi\) | |||||||
\(270\) | 2.61247e8 | + | 4.84213e7i | 0.807753 | + | 0.149714i | ||||
\(271\) | 3.84137e8 | − | 2.79092e8i | 1.17245 | − | 0.851833i | 0.181148 | − | 0.983456i | \(-0.442019\pi\) |
0.991300 | + | 0.131623i | \(0.0420187\pi\) | |||||||
\(272\) | 9.10868e7 | + | 1.25370e8i | 0.274451 | + | 0.377749i | ||||
\(273\) | 4.44825e8 | − | 1.44532e8i | 1.32318 | − | 0.429928i | ||||
\(274\) | 3.09451e7 | 0.0908793 | ||||||||
\(275\) | 4.79058e8 | − | 1.28356e8i | 1.38907 | − | 0.372178i | ||||
\(276\) | 1.15612e8 | 0.330994 | ||||||||
\(277\) | −3.08676e8 | + | 1.00295e8i | −0.872617 | + | 0.283530i | −0.710888 | − | 0.703305i | \(-0.751707\pi\) |
−0.161729 | + | 0.986835i | \(0.551707\pi\) | |||||||
\(278\) | 7.04191e7 | + | 9.69236e7i | 0.196577 | + | 0.270566i | ||||
\(279\) | −1.08964e8 | + | 7.91671e7i | −0.300379 | + | 0.218238i | ||||
\(280\) | −7.79781e7 | − | 5.92337e8i | −0.212285 | − | 1.61256i | ||||
\(281\) | −3.44600e8 | − | 2.50366e8i | −0.926495 | − | 0.673138i | 0.0186374 | − | 0.999826i | \(-0.494067\pi\) |
−0.945132 | + | 0.326689i | \(0.894067\pi\) | |||||||
\(282\) | 1.56853e8i | 0.416505i | ||||||||
\(283\) | 2.24019e8 | − | 3.08335e8i | 0.587532 | − | 0.808668i | −0.406964 | − | 0.913444i | \(-0.633413\pi\) |
0.994496 | + | 0.104776i | \(0.0334126\pi\) | |||||||
\(284\) | −1.64206e7 | + | 5.05375e7i | −0.0425378 | + | 0.130918i | ||||
\(285\) | −4.50361e7 | + | 4.27370e7i | −0.115240 | + | 0.109357i | ||||
\(286\) | −1.47571e8 | − | 4.54176e8i | −0.373009 | − | 1.14800i | ||||
\(287\) | −9.42251e8 | − | 3.06156e8i | −2.35277 | − | 0.764462i | ||||
\(288\) | 9.43276e7 | + | 3.06489e7i | 0.232683 | + | 0.0756033i | ||||
\(289\) | −5.97120e7 | − | 1.83775e8i | −0.145519 | − | 0.447861i | ||||
\(290\) | −4.50269e8 | + | 5.92756e7i | −1.08412 | + | 0.142719i | ||||
\(291\) | −2.09563e8 | + | 6.44967e8i | −0.498527 | + | 1.53431i | ||||
\(292\) | 7.02422e7 | − | 9.66800e7i | 0.165104 | − | 0.227246i | ||||
\(293\) | 3.26986e8i | 0.759439i | 0.925102 | + | 0.379720i | \(0.123980\pi\) | ||||
−0.925102 | + | 0.379720i | \(0.876020\pi\) | |||||||
\(294\) | 2.80646e8 | + | 2.03902e8i | 0.644086 | + | 0.467956i | ||||
\(295\) | −1.30969e8 | + | 6.24679e7i | −0.297025 | + | 0.141671i | ||||
\(296\) | 1.67125e8 | − | 1.21424e8i | 0.374560 | − | 0.272134i | ||||
\(297\) | −4.15281e8 | − | 5.71585e8i | −0.919802 | − | 1.26600i | ||||
\(298\) | −3.16934e8 | + | 1.02978e8i | −0.693765 | + | 0.225418i | ||||
\(299\) | 4.76202e8 | 1.03025 | ||||||||
\(300\) | 5.98674e7 | − | 1.55953e8i | 0.128017 | − | 0.333480i | ||||
\(301\) | 6.98050e8 | 1.47538 | ||||||||
\(302\) | 3.28177e8 | − | 1.06631e8i | 0.685621 | − | 0.222772i | ||||
\(303\) | −2.60009e8 | − | 3.57872e8i | −0.536957 | − | 0.739058i | ||||
\(304\) | 2.91818e7 | − | 2.12018e7i | 0.0595738 | − | 0.0432829i | ||||
\(305\) | −3.25709e7 | + | 5.99871e7i | −0.0657325 | + | 0.121062i | ||||
\(306\) | 1.15131e8 | + | 8.36473e7i | 0.229703 | + | 0.166889i | ||||
\(307\) | 9.02401e8i | 1.77998i | 0.455979 | + | 0.889991i | \(0.349289\pi\) | ||||
−0.455979 | + | 0.889991i | \(0.650711\pi\) | |||||||
\(308\) | −2.80820e8 | + | 3.86516e8i | −0.547647 | + | 0.753772i | ||||
\(309\) | 1.41471e7 | − | 4.35402e7i | 0.0272780 | − | 0.0839530i | ||||
\(310\) | −2.04113e8 | − | 4.27940e8i | −0.389139 | − | 0.815862i | ||||
\(311\) | −1.85235e8 | − | 5.70093e8i | −0.349189 | − | 1.07469i | −0.959303 | − | 0.282379i | \(-0.908876\pi\) |
0.610114 | − | 0.792314i | \(-0.291124\pi\) | |||||||
\(312\) | −5.08689e8 | − | 1.65283e8i | −0.948226 | − | 0.308097i | ||||
\(313\) | 4.43686e8 | + | 1.44162e8i | 0.817844 | + | 0.265734i | 0.687917 | − | 0.725790i | \(-0.258526\pi\) |
0.129928 | + | 0.991523i | \(0.458526\pi\) | |||||||
\(314\) | 3.44958e7 | + | 1.06167e8i | 0.0628801 | + | 0.193525i | ||||
\(315\) | −1.11569e8 | − | 2.33913e8i | −0.201120 | − | 0.421665i | ||||
\(316\) | 4.81026e6 | − | 1.48045e7i | 0.00857559 | − | 0.0263930i | ||||
\(317\) | 2.19907e8 | − | 3.02677e8i | 0.387733 | − | 0.533668i | −0.569880 | − | 0.821728i | \(-0.693010\pi\) |
0.957612 | + | 0.288060i | \(0.0930102\pi\) | |||||||
\(318\) | 4.98508e8i | 0.869315i | ||||||||
\(319\) | 9.77007e8 | + | 7.09837e8i | 1.68512 | + | 1.22431i | ||||
\(320\) | −2.74280e8 | + | 5.05152e8i | −0.467918 | + | 0.861782i | ||||
\(321\) | −1.09622e8 | + | 7.96451e7i | −0.184982 | + | 0.134398i | ||||
\(322\) | 3.71113e8 | + | 5.10794e8i | 0.619457 | + | 0.852609i | ||||
\(323\) | −1.33614e8 | + | 4.34139e7i | −0.220620 | + | 0.0716836i | ||||
\(324\) | −1.56326e8 | −0.255342 | ||||||||
\(325\) | 2.46593e8 | − | 6.42368e8i | 0.398464 | − | 1.03799i | ||||
\(326\) | −3.28431e8 | −0.525028 | ||||||||
\(327\) | −2.81683e8 | + | 9.15244e7i | −0.445496 | + | 0.144750i | ||||
\(328\) | 6.65951e8 | + | 9.16603e8i | 1.04204 | + | 1.43424i | ||||
\(329\) | 5.22917e8 | − | 3.79921e8i | 0.809556 | − | 0.588177i | ||||
\(330\) | 5.31344e8 | − | 2.53433e8i | 0.813911 | − | 0.388208i | ||||
\(331\) | −9.59791e8 | − | 6.97329e8i | −1.45472 | − | 1.05691i | −0.984700 | − | 0.174257i | \(-0.944248\pi\) |
−0.470017 | − | 0.882657i | \(-0.655752\pi\) | |||||||
\(332\) | 2.09882e8i | 0.314769i | ||||||||
\(333\) | 5.26706e7 | − | 7.24949e7i | 0.0781652 | − | 0.107585i | ||||
\(334\) | 7.02239e7 | − | 2.16127e8i | 0.103127 | − | 0.317392i | ||||
\(335\) | 4.16718e8 | − | 5.48588e7i | 0.605599 | − | 0.0797240i | ||||
\(336\) | −1.03513e8 | − | 3.18579e8i | −0.148870 | − | 0.458174i | ||||
\(337\) | −7.87337e8 | − | 2.55821e8i | −1.12061 | − | 0.364110i | −0.310612 | − | 0.950537i | \(-0.600534\pi\) |
−0.810002 | + | 0.586427i | \(0.800534\pi\) | |||||||
\(338\) | −1.20391e8 | − | 3.91174e7i | −0.169584 | − | 0.0551012i | ||||
\(339\) | 1.99454e8 | + | 6.13856e8i | 0.278063 | + | 0.855791i | ||||
\(340\) | 2.74196e8 | − | 2.60198e8i | 0.378342 | − | 0.359028i | ||||
\(341\) | −3.89594e8 | + | 1.19905e9i | −0.532074 | + | 1.63756i | ||||
\(342\) | 1.94702e7 | − | 2.67984e7i | 0.0263196 | − | 0.0362258i | ||||
\(343\) | − | 3.03581e8i | − | 0.406205i | ||||||
\(344\) | −6.45814e8 | − | 4.69212e8i | −0.855368 | − | 0.621461i | ||||
\(345\) | 7.66184e7 | + | 5.82008e8i | 0.100454 | + | 0.763066i | ||||
\(346\) | 1.92040e8 | − | 1.39525e8i | 0.249245 | − | 0.181087i | ||||
\(347\) | 5.13390e8 | + | 7.06620e8i | 0.659620 | + | 0.907889i | 0.999469 | − | 0.0325909i | \(-0.0103759\pi\) |
−0.339849 | + | 0.940480i | \(0.610376\pi\) | |||||||
\(348\) | 3.86855e8 | − | 1.25697e8i | 0.492063 | − | 0.159881i | ||||
\(349\) | −7.78493e8 | −0.980316 | −0.490158 | − | 0.871634i | \(-0.663061\pi\) | ||||
−0.490158 | + | 0.871634i | \(0.663061\pi\) | |||||||
\(350\) | 8.81204e8 | − | 2.36104e8i | 1.09860 | − | 0.294351i | ||||
\(351\) | −9.80201e8 | −1.20987 | ||||||||
\(352\) | 8.82963e8 | − | 2.86892e8i | 1.07905 | − | 0.350606i | ||||
\(353\) | 357581. | + | 492168.i | 0.000432676 | + | 0.000595528i | 0.809233 | − | 0.587487i | \(-0.199883\pi\) |
−0.808801 | + | 0.588083i | \(0.799883\pi\) | |||||||
\(354\) | −1.39342e8 | + | 1.01238e8i | −0.166943 | + | 0.121291i | ||||
\(355\) | −2.65296e8 | − | 4.91718e7i | −0.314725 | − | 0.0583333i | ||||
\(356\) | 1.21891e8 | + | 8.85588e7i | 0.143184 | + | 0.104030i | ||||
\(357\) | 1.30468e9i | 1.51762i | ||||||||
\(358\) | −5.81967e8 | + | 8.01008e8i | −0.670359 | + | 0.922670i | ||||
\(359\) | 1.59002e8 | − | 4.89358e8i | 0.181373 | − | 0.558208i | −0.818494 | − | 0.574515i | \(-0.805191\pi\) |
0.999867 | + | 0.0163067i | \(0.00519081\pi\) | |||||||
\(360\) | −5.40105e7 | + | 2.91402e8i | −0.0610126 | + | 0.329181i | ||||
\(361\) | −2.66116e8 | − | 8.19022e8i | −0.297712 | − | 0.916263i | ||||
\(362\) | −1.06380e9 | − | 3.45651e8i | −1.17864 | − | 0.382964i | ||||
\(363\) | −7.68875e8 | − | 2.49823e8i | −0.843689 | − | 0.274131i | ||||
\(364\) | 2.04826e8 | + | 6.30388e8i | 0.222602 | + | 0.685099i | ||||
\(365\) | 5.33254e8 | + | 2.89539e8i | 0.573997 | + | 0.311660i | ||||
\(366\) | −2.50373e7 | + | 7.70567e7i | −0.0266933 | + | 0.0821536i | ||||
\(367\) | 3.68279e8 | − | 5.06892e8i | 0.388907 | − | 0.535284i | −0.569010 | − | 0.822331i | \(-0.692673\pi\) |
0.957917 | + | 0.287046i | \(0.0926734\pi\) | |||||||
\(368\) | − | 3.41051e8i | − | 0.356740i | ||||||
\(369\) | 3.97600e8 | + | 2.88873e8i | 0.411959 | + | 0.299306i | ||||
\(370\) | 2.17133e8 | + | 2.28814e8i | 0.222853 | + | 0.234842i | ||||
\(371\) | 1.66193e9 | − | 1.20746e9i | 1.68968 | − | 1.22762i | ||||
\(372\) | 2.49604e8 | + | 3.43550e8i | 0.251391 | + | 0.346011i | ||||
\(373\) | −2.45519e8 | + | 7.97740e7i | −0.244965 | + | 0.0795940i | −0.428926 | − | 0.903340i | \(-0.641108\pi\) |
0.183961 | + | 0.982934i | \(0.441108\pi\) | |||||||
\(374\) | 1.33210e9 | 1.31670 | ||||||||
\(375\) | 8.24769e8 | + | 1.98029e8i | 0.807649 | + | 0.193919i | ||||
\(376\) | −7.39159e8 | −0.717102 | ||||||||
\(377\) | 1.59345e9 | − | 5.17743e8i | 1.53159 | − | 0.497645i | ||||
\(378\) | −7.63889e8 | − | 1.05140e9i | −0.727460 | − | 1.00126i | ||||
\(379\) | −1.21517e9 | + | 8.82871e8i | −1.14657 | + | 0.833028i | −0.988020 | − | 0.154323i | \(-0.950680\pi\) |
−0.158545 | + | 0.987352i | \(0.550680\pi\) | |||||||
\(380\) | −6.05652e7 | − | 6.38233e7i | −0.0566214 | − | 0.0596674i | ||||
\(381\) | −1.13442e8 | − | 8.24201e7i | −0.105084 | − | 0.0763477i | ||||
\(382\) | − | 3.62452e8i | − | 0.332682i | ||||||
\(383\) | −1.18783e8 | + | 1.63490e8i | −0.108033 | + | 0.148695i | −0.859610 | − | 0.510950i | \(-0.829294\pi\) |
0.751577 | + | 0.659645i | \(0.229294\pi\) | |||||||
\(384\) | 1.38561e7 | − | 4.26447e7i | 0.0124877 | − | 0.0384332i | ||||
\(385\) | −2.13189e9 | − | 1.15754e9i | −1.90394 | − | 1.03377i | ||||
\(386\) | 2.73860e8 | + | 8.42855e8i | 0.242367 | + | 0.745929i | ||||
\(387\) | −3.29322e8 | − | 1.07003e8i | −0.288824 | − | 0.0938445i | ||||
\(388\) | −9.14022e8 | − | 2.96984e8i | −0.794411 | − | 0.258120i | ||||
\(389\) | −4.72444e8 | − | 1.45403e9i | −0.406936 | − | 1.25242i | −0.919268 | − | 0.393633i | \(-0.871218\pi\) |
0.512331 | − | 0.858788i | \(-0.328782\pi\) | |||||||
\(390\) | 1.48843e8 | − | 8.03052e8i | 0.127058 | − | 0.685516i | ||||
\(391\) | −4.10481e8 | + | 1.26333e9i | −0.347276 | + | 1.06881i | ||||
\(392\) | −9.60873e8 | + | 1.32253e9i | −0.805684 | + | 1.10893i | ||||
\(393\) | − | 6.71079e8i | − | 0.557699i | ||||||
\(394\) | −1.08806e8 | − | 7.90525e7i | −0.0896226 | − | 0.0651146i | ||||
\(395\) | 7.77160e7 | + | 1.44044e7i | 0.0634484 | + | 0.0117600i | ||||
\(396\) | 1.91732e8 | − | 1.39302e8i | 0.155154 | − | 0.112726i | ||||
\(397\) | −1.03095e9 | − | 1.41898e9i | −0.826935 | − | 1.13818i | −0.988486 | − | 0.151314i | \(-0.951650\pi\) |
0.161551 | − | 0.986864i | \(-0.448350\pi\) | |||||||
\(398\) | 1.39250e9 | − | 4.52451e8i | 1.10715 | − | 0.359733i | ||||
\(399\) | 3.03683e8 | 0.239340 | ||||||||
\(400\) | −4.60057e8 | − | 1.76607e8i | −0.359420 | − | 0.137974i | ||||
\(401\) | −9.11010e8 | −0.705533 | −0.352767 | − | 0.935711i | \(-0.614759\pi\) | ||||
−0.352767 | + | 0.935711i | \(0.614759\pi\) | |||||||
\(402\) | 4.74485e8 | − | 1.54170e8i | 0.364277 | − | 0.118361i | ||||
\(403\) | 1.02811e9 | + | 1.41508e9i | 0.782480 | + | 1.07699i | ||||
\(404\) | 5.07162e8 | − | 3.68474e8i | 0.382659 | − | 0.278018i | ||||
\(405\) | −1.03601e8 | − | 7.86970e8i | −0.0774942 | − | 0.588661i | ||||
\(406\) | 1.79716e9 | + | 1.30571e9i | 1.33274 | + | 0.968292i | ||||
\(407\) | − | 8.38791e8i | − | 0.616699i | ||||||
\(408\) | 8.76970e8 | − | 1.20705e9i | 0.639255 | − | 0.879859i | ||||
\(409\) | 1.07252e8 | − | 3.30087e8i | 0.0775127 | − | 0.238559i | −0.904791 | − | 0.425857i | \(-0.859973\pi\) |
0.982303 | + | 0.187297i | \(0.0599728\pi\) | |||||||
\(410\) | −1.25493e9 | + | 1.19087e9i | −0.899243 | + | 0.853337i | ||||
\(411\) | −4.34883e7 | − | 1.33843e8i | −0.0308977 | − | 0.0950932i | ||||
\(412\) | 6.17035e7 | + | 2.00487e7i | 0.0434680 | + | 0.0141236i | ||||
\(413\) | 6.75012e8 | + | 2.19325e8i | 0.471505 | + | 0.153201i | ||||
\(414\) | −9.67828e7 | − | 2.97867e8i | −0.0670343 | − | 0.206310i | ||||
\(415\) | −1.05658e9 | + | 1.39093e8i | −0.725662 | + | 0.0955297i | ||||
\(416\) | 3.98025e8 | − | 1.22500e9i | 0.271071 | − | 0.834272i | ||||
\(417\) | 3.20249e8 | − | 4.40785e8i | 0.216278 | − | 0.297681i | ||||
\(418\) | − | 3.10067e8i | − | 0.207653i | ||||||
\(419\) | 3.96005e8 | + | 2.87715e8i | 0.262998 | + | 0.191079i | 0.711468 | − | 0.702719i | \(-0.248031\pi\) |
−0.448470 | + | 0.893798i | \(0.648031\pi\) | |||||||
\(420\) | −7.37497e8 | + | 3.51761e8i | −0.485722 | + | 0.231673i | ||||
\(421\) | 4.97874e7 | − | 3.61726e7i | 0.0325186 | − | 0.0236261i | −0.571407 | − | 0.820667i | \(-0.693602\pi\) |
0.603926 | + | 0.797041i | \(0.293602\pi\) | |||||||
\(422\) | 2.49299e8 | + | 3.43130e8i | 0.161483 | + | 0.222262i | ||||
\(423\) | −3.04936e8 | + | 9.90798e7i | −0.195893 | + | 0.0636493i | ||||
\(424\) | −2.34919e9 | −1.49671 | ||||||||
\(425\) | 1.49160e9 | + | 1.20791e9i | 0.942519 | + | 0.763260i | ||||
\(426\) | −3.20264e8 | −0.200713 | ||||||||
\(427\) | 3.17536e8 | − | 1.03174e8i | 0.197376 | − | 0.0641315i | ||||
\(428\) | −1.12870e8 | − | 1.55352e8i | −0.0695864 | − | 0.0957775i | ||||
\(429\) | −1.75700e9 | + | 1.27654e9i | −1.07442 | + | 0.780608i | ||||
\(430\) | 5.81635e8 | − | 1.07122e9i | 0.352786 | − | 0.649739i | ||||
\(431\) | 2.12540e9 | + | 1.54419e9i | 1.27870 | + | 0.929031i | 0.999513 | − | 0.0312047i | \(-0.00993437\pi\) |
0.279189 | + | 0.960236i | \(0.409934\pi\) | |||||||
\(432\) | 7.02010e8i | 0.418938i | ||||||||
\(433\) | −1.09520e9 | + | 1.50742e9i | −0.648317 | + | 0.892332i | −0.999025 | − | 0.0441532i | \(-0.985941\pi\) |
0.350708 | + | 0.936485i | \(0.385941\pi\) | |||||||
\(434\) | −7.16640e8 | + | 2.20559e9i | −0.420811 | + | 1.29512i | ||||
\(435\) | 8.89156e8 | + | 1.86419e9i | 0.517923 | + | 1.08587i | ||||
\(436\) | −1.29705e8 | − | 3.99190e8i | −0.0749467 | − | 0.230662i | ||||
\(437\) | 2.94060e8 | + | 9.55458e7i | 0.168558 | + | 0.0547680i | ||||
\(438\) | 6.84995e8 | + | 2.22568e8i | 0.389518 | + | 0.126562i | ||||
\(439\) | −3.13545e8 | − | 9.64993e8i | −0.176878 | − | 0.544375i | 0.822836 | − | 0.568279i | \(-0.192391\pi\) |
−0.999714 | + | 0.0239036i | \(0.992391\pi\) | |||||||
\(440\) | 1.19429e9 | + | 2.50393e9i | 0.668382 | + | 1.40132i | ||||
\(441\) | −2.19126e8 | + | 6.74401e8i | −0.121663 | + | 0.374441i | ||||
\(442\) | 1.08629e9 | − | 1.49516e9i | 0.598370 | − | 0.823586i | ||||
\(443\) | − | 1.90975e9i | − | 1.04367i | −0.853046 | − | 0.521836i | \(-0.825247\pi\) | ||
0.853046 | − | 0.521836i | \(-0.174753\pi\) | |||||||
\(444\) | −2.28567e8 | − | 1.66063e8i | −0.123929 | − | 0.0900396i | ||||
\(445\) | −3.65040e8 | + | 6.72308e8i | −0.196372 | + | 0.361666i | ||||
\(446\) | −5.88705e8 | + | 4.27719e8i | −0.314214 | + | 0.228290i | ||||
\(447\) | 8.90798e8 | + | 1.22608e9i | 0.471740 | + | 0.649294i | ||||
\(448\) | 2.67398e9 | − | 8.68827e8i | 1.40503 | − | 0.456521i | ||||
\(449\) | 1.67845e9 | 0.875077 | 0.437539 | − | 0.899200i | \(-0.355850\pi\) | ||||
0.437539 | + | 0.899200i | \(0.355850\pi\) | |||||||
\(450\) | −4.51922e8 | − | 2.36910e7i | −0.233786 | − | 0.0122557i | ||||
\(451\) | 4.60037e9 | 2.36143 | ||||||||
\(452\) | −8.69932e8 | + | 2.82658e8i | −0.443099 | + | 0.143972i | ||||
\(453\) | −9.22398e8 | − | 1.26957e9i | −0.466202 | − | 0.641673i | ||||
\(454\) | −1.52874e9 | + | 1.11069e9i | −0.766721 | + | 0.557056i | ||||
\(455\) | −3.03774e9 | + | 1.44890e9i | −1.51185 | + | 0.721104i | ||||
\(456\) | −2.80958e8 | − | 2.04128e8i | −0.138760 | − | 0.100815i | ||||
\(457\) | 2.09690e9i | 1.02771i | 0.857876 | + | 0.513856i | \(0.171783\pi\) | ||||
−0.857876 | + | 0.513856i | \(0.828217\pi\) | |||||||
\(458\) | −6.61021e8 | + | 9.09817e8i | −0.321504 | + | 0.442512i | ||||
\(459\) | 8.44923e8 | − | 2.60041e9i | 0.407824 | − | 1.25515i | ||||
\(460\) | −8.24798e8 | + | 1.08580e8i | −0.395089 | + | 0.0520115i | ||||
\(461\) | 5.14109e8 | + | 1.58227e9i | 0.244401 | + | 0.752188i | 0.995734 | + | 0.0922654i | \(0.0294108\pi\) |
−0.751334 | + | 0.659922i | \(0.770589\pi\) | |||||||
\(462\) | −2.73853e9 | − | 8.89803e8i | −1.29203 | − | 0.419805i | ||||
\(463\) | −2.96724e8 | − | 9.64115e7i | −0.138937 | − | 0.0451435i | 0.238723 | − | 0.971088i | \(-0.423271\pi\) |
−0.377660 | + | 0.925944i | \(0.623271\pi\) | |||||||
\(464\) | −3.70802e8 | − | 1.14121e9i | −0.172318 | − | 0.530339i | ||||
\(465\) | −1.56407e9 | + | 1.48422e9i | −0.721390 | + | 0.684564i | ||||
\(466\) | −1.91456e8 | + | 5.89241e8i | −0.0876433 | + | 0.269738i | ||||
\(467\) | 2.53846e9 | − | 3.49389e9i | 1.15335 | − | 1.58745i | 0.420116 | − | 0.907470i | \(-0.361989\pi\) |
0.733232 | − | 0.679978i | \(-0.238011\pi\) | |||||||
\(468\) | − | 3.28798e8i | − | 0.148275i | ||||||
\(469\) | −1.66325e9 | − | 1.20842e9i | −0.744477 | − | 0.540894i | ||||
\(470\) | −1.47314e8 | − | 1.11902e9i | −0.0654486 | − | 0.497160i | ||||
\(471\) | 4.10714e8 | − | 2.98401e8i | 0.181120 | − | 0.131591i | ||||
\(472\) | −4.77076e8 | − | 6.56638e8i | −0.208829 | − | 0.287428i | ||||
\(473\) | −3.08266e9 | + | 1.00162e9i | −1.33940 | + | 0.435198i | ||||
\(474\) | 9.38185e7 | 0.0404636 | ||||||||
\(475\) | 2.81159e8 | − | 3.47192e8i | 0.120372 | − | 0.148642i | ||||
\(476\) | −1.84893e9 | −0.785773 | ||||||||
\(477\) | −9.69145e8 | + | 3.14894e8i | −0.408860 | + | 0.132847i | ||||
\(478\) | −1.02626e9 | − | 1.41253e9i | −0.429795 | − | 0.591561i | ||||
\(479\) | 3.06490e9 | − | 2.22678e9i | 1.27421 | − | 0.925769i | 0.274850 | − | 0.961487i | \(-0.411372\pi\) |
0.999362 | + | 0.0357175i | \(0.0113717\pi\) | |||||||
\(480\) | 1.56121e9 | + | 2.89366e8i | 0.644344 | + | 0.119427i | ||||
\(481\) | −9.41463e8 | − | 6.84013e8i | −0.385741 | − | 0.280257i | ||||
\(482\) | − | 1.33440e9i | − | 0.542776i | ||||||
\(483\) | 1.68773e9 | − | 2.32297e9i | 0.681537 | − | 0.938055i | ||||
\(484\) | 3.54038e8 | − | 1.08962e9i | 0.141936 | − | 0.436833i | ||||
\(485\) | 8.89322e8 | − | 4.79815e9i | 0.353967 | − | 1.90976i | ||||
\(486\) | 3.51276e8 | + | 1.08112e9i | 0.138810 | + | 0.427214i | ||||
\(487\) | 3.68633e9 | + | 1.19776e9i | 1.44625 | + | 0.469914i | 0.923839 | − | 0.382781i | \(-0.125034\pi\) |
0.522408 | + | 0.852696i | \(0.325034\pi\) | |||||||
\(488\) | −3.63125e8 | − | 1.17986e8i | −0.141445 | − | 0.0459582i | ||||
\(489\) | 4.61555e8 | + | 1.42052e9i | 0.178502 | + | 0.549372i | ||||
\(490\) | −2.19369e9 | − | 1.19110e9i | −0.842344 | − | 0.457364i | ||||
\(491\) | 3.11835e8 | − | 9.59728e8i | 0.118888 | − | 0.365900i | −0.873850 | − | 0.486196i | \(-0.838384\pi\) |
0.992738 | + | 0.120295i | \(0.0383842\pi\) | |||||||
\(492\) | 9.10779e8 | − | 1.25358e9i | 0.344774 | − | 0.474541i | ||||
\(493\) | 4.67360e9i | 1.75666i | ||||||||
\(494\) | −3.48021e8 | − | 2.52852e8i | −0.129886 | − | 0.0943674i | ||||
\(495\) | 8.28333e8 | + | 8.72894e8i | 0.306964 | + | 0.323477i | ||||
\(496\) | 1.01346e9 | − | 7.36324e8i | 0.372925 | − | 0.270946i | ||||
\(497\) | 7.75728e8 | + | 1.06770e9i | 0.283441 | + | 0.390123i | ||||
\(498\) | −1.20305e9 | + | 3.90894e8i | −0.436496 | + | 0.141826i | ||||
\(499\) | −3.15608e9 | −1.13709 | −0.568547 | − | 0.822651i | \(-0.692494\pi\) | ||||
−0.568547 | + | 0.822651i | \(0.692494\pi\) | |||||||
\(500\) | −2.80639e8 | + | 1.16883e9i | −0.100404 | + | 0.418173i | ||||
\(501\) | −1.03348e9 | −0.367171 | ||||||||
\(502\) | 3.03211e9 | − | 9.85193e8i | 1.06975 | − | 0.347583i | ||||
\(503\) | −2.73820e8 | − | 3.76880e8i | −0.0959349 | − | 0.132043i | 0.758351 | − | 0.651846i | \(-0.226005\pi\) |
−0.854286 | + | 0.519803i | \(0.826005\pi\) | |||||||
\(504\) | 1.17276e9 | − | 8.52063e8i | 0.408041 | − | 0.296459i | ||||
\(505\) | 2.19107e9 | + | 2.30894e9i | 0.757070 | + | 0.797797i | ||||
\(506\) | −2.37180e9 | − | 1.72321e9i | −0.813862 | − | 0.591305i | ||||
\(507\) | 5.75685e8i | 0.196181i | ||||||||
\(508\) | 1.16802e8 | − | 1.60765e8i | 0.0395302 | − | 0.0544086i | ||||
\(509\) | −7.00864e8 | + | 2.15704e9i | −0.235571 | + | 0.725013i | 0.761474 | + | 0.648195i | \(0.224476\pi\) |
−0.997045 | + | 0.0768176i | \(0.975524\pi\) | |||||||
\(510\) | 2.00214e9 | + | 1.08709e9i | 0.668342 | + | 0.362886i | ||||
\(511\) | −9.17161e8 | − | 2.82273e9i | −0.304069 | − | 0.935829i | ||||
\(512\) | −2.07786e9 | − | 6.75137e8i | −0.684181 | − | 0.222304i | ||||
\(513\) | −6.05284e8 | − | 1.96669e8i | −0.197947 | − | 0.0643168i | ||||
\(514\) | 8.98585e7 | + | 2.76556e8i | 0.0291869 | + | 0.0898281i | ||||
\(515\) | −6.00361e7 | + | 3.23912e8i | −0.0193681 | + | 0.104497i | ||||
\(516\) | −3.37367e8 | + | 1.03831e9i | −0.108101 | + | 0.332700i | ||||
\(517\) | −1.76411e9 | + | 2.42809e9i | −0.561447 | + | 0.772765i | ||||
\(518\) | − | 1.54292e9i | − | 0.487740i | ||||||
\(519\) | −8.73353e8 | − | 6.34528e8i | −0.274223 | − | 0.199235i | ||||
\(520\) | 3.78433e9 | + | 7.01413e8i | 1.18026 | + | 0.218757i | ||||
\(521\) | −3.90455e9 | + | 2.83682e9i | −1.20959 | + | 0.878821i | −0.995194 | − | 0.0979250i | \(-0.968779\pi\) |
−0.214400 | + | 0.976746i | \(0.568779\pi\) | |||||||
\(522\) | −6.47702e8 | − | 8.91485e8i | −0.199310 | − | 0.274326i | ||||
\(523\) | −1.72803e9 | + | 5.61471e8i | −0.528196 | + | 0.171621i | −0.560962 | − | 0.827842i | \(-0.689569\pi\) |
0.0327654 | + | 0.999463i | \(0.489569\pi\) | |||||||
\(524\) | 9.51026e8 | 0.288757 | ||||||||
\(525\) | −2.25958e9 | − | 3.47956e9i | −0.681506 | − | 1.04946i | ||||
\(526\) | 1.45713e8 | 0.0436565 | ||||||||
\(527\) | −4.64032e9 | + | 1.50773e9i | −1.38105 | + | 0.448732i | ||||
\(528\) | 9.14243e8 | + | 1.25835e9i | 0.270298 | + | 0.372033i | ||||
\(529\) | −3.89451e8 | + | 2.82953e8i | −0.114382 | + | 0.0831034i | ||||
\(530\) | −4.68190e8 | − | 3.55646e9i | −0.136602 | − | 1.03765i | ||||
\(531\) | −2.84833e8 | − | 2.06944e8i | −0.0825582 | − | 0.0599820i | ||||
\(532\) | 4.30368e8i | 0.123922i | ||||||||
\(533\) | 3.75148e9 | − | 5.16347e9i | 1.07314 | − | 1.47705i | ||||
\(534\) | −2.80606e8 | + | 8.63617e8i | −0.0797449 | + | 0.245429i | ||||
\(535\) | 7.07266e8 | − | 6.71160e8i | 0.199685 | − | 0.189491i | ||||
\(536\) | 7.26515e8 | + | 2.23598e9i | 0.203783 | + | 0.627179i | ||||
\(537\) | 4.28236e9 | + | 1.39142e9i | 1.19336 | + | 0.387748i | ||||
\(538\) | 3.00527e9 | + | 9.76472e8i | 0.832043 | + | 0.270347i | ||||
\(539\) | 2.05115e9 | + | 6.31281e9i | 0.564206 | + | 1.73645i | ||||
\(540\) | 1.69774e9 | − | 2.23499e8i | 0.463973 | − | 0.0610797i | ||||
\(541\) | 1.75707e9 | − | 5.40769e9i | 0.477087 | − | 1.46832i | −0.366035 | − | 0.930601i | \(-0.619285\pi\) |
0.843122 | − | 0.537722i | \(-0.180715\pi\) | |||||||
\(542\) | −2.38379e9 | + | 3.28100e9i | −0.643088 | + | 0.885134i | ||||
\(543\) | 5.08689e9i | 1.36349i | ||||||||
\(544\) | 2.90673e9 | + | 2.11187e9i | 0.774122 | + | 0.562432i | ||||
\(545\) | 1.92363e9 | − | 9.17506e8i | 0.509019 | − | 0.242785i | ||||
\(546\) | −3.23192e9 | + | 2.34813e9i | −0.849742 | + | 0.617374i | ||||
\(547\) | 5.55256e8 | + | 7.64245e8i | 0.145057 | + | 0.199653i | 0.875363 | − | 0.483467i | \(-0.160623\pi\) |
−0.730306 | + | 0.683120i | \(0.760623\pi\) | |||||||
\(548\) | 1.89677e8 | − | 6.16298e7i | 0.0492360 | − | 0.0159977i | ||||
\(549\) | −1.65621e8 | −0.0427180 | ||||||||
\(550\) | −3.55270e9 | + | 2.30708e9i | −0.910520 | + | 0.591279i | ||||
\(551\) | 1.08785e9 | 0.277038 | ||||||||
\(552\) | −3.12288e9 | + | 1.01468e9i | −0.790257 | + | 0.256770i | ||||
\(553\) | −2.27242e8 | − | 3.12772e8i | −0.0571415 | − | 0.0786485i | ||||
\(554\) | 2.24272e9 | − | 1.62943e9i | 0.560390 | − | 0.407147i | ||||
\(555\) | 6.84515e8 | − | 1.26070e9i | 0.169964 | − | 0.313029i | ||||
\(556\) | 6.24663e8 | + | 4.53844e8i | 0.154129 | + | 0.111981i | ||||
\(557\) | 1.98507e8i | 0.0486725i | 0.999704 | + | 0.0243362i | \(0.00774723\pi\) | ||||
−0.999704 | + | 0.0243362i | \(0.992253\pi\) | |||||||
\(558\) | 6.76185e8 | − | 9.30688e8i | 0.164758 | − | 0.226769i | ||||
\(559\) | −1.38961e9 | + | 4.27678e9i | −0.336474 | + | 1.03556i | ||||
\(560\) | 1.03769e9 | + | 2.17560e9i | 0.249694 | + | 0.523504i | ||||
\(561\) | −1.87205e9 | − | 5.76157e9i | −0.447659 | − | 1.37775i | ||||
\(562\) | 3.46006e9 | + | 1.12424e9i | 0.822256 | + | 0.267167i | ||||
\(563\) | −1.48350e8 | − | 4.82020e7i | −0.0350356 | − | 0.0113838i | 0.291447 | − | 0.956587i | \(-0.405863\pi\) |
−0.326482 | + | 0.945203i | \(0.605863\pi\) | |||||||
\(564\) | 3.12386e8 | + | 9.61424e8i | 0.0733186 | + | 0.225651i | ||||
\(565\) | −1.99947e9 | − | 4.19206e9i | −0.466386 | − | 0.977817i | ||||
\(566\) | −1.00593e9 | + | 3.09594e9i | −0.233190 | + | 0.717686i | ||||
\(567\) | −2.28209e9 | + | 3.14103e9i | −0.525766 | + | 0.723655i | ||||
\(568\) | − | 1.50923e9i | − | 0.345569i | ||||||
\(569\) | −3.82908e9 | − | 2.78199e9i | −0.871368 | − | 0.633086i | 0.0595856 | − | 0.998223i | \(-0.481022\pi\) |
−0.930954 | + | 0.365137i | \(0.881022\pi\) | |||||||
\(570\) | 2.53037e8 | − | 4.66029e8i | 0.0572299 | − | 0.105402i | ||||
\(571\) | 3.69961e9 | − | 2.68792e9i | 0.831629 | − | 0.604214i | −0.0883906 | − | 0.996086i | \(-0.528172\pi\) |
0.920020 | + | 0.391872i | \(0.128172\pi\) | |||||||
\(572\) | −1.80906e9 | − | 2.48995e9i | −0.404172 | − | 0.556295i | ||||
\(573\) | −1.56767e9 | + | 5.09367e8i | −0.348107 | + | 0.113107i | ||||
\(574\) | 8.46215e9 | 1.86762 | ||||||||
\(575\) | −1.09322e9 | − | 4.08021e9i | −0.239812 | − | 0.895045i | ||||
\(576\) | −1.39469e9 | −0.304089 | ||||||||
\(577\) | 4.18427e9 | − | 1.35955e9i | 0.906786 | − | 0.294633i | 0.181751 | − | 0.983345i | \(-0.441824\pi\) |
0.725035 | + | 0.688712i | \(0.241824\pi\) | |||||||
\(578\) | 9.70104e8 | + | 1.33523e9i | 0.208964 | + | 0.287614i | ||||
\(579\) | 3.26063e9 | − | 2.36899e9i | 0.698114 | − | 0.507210i | ||||
\(580\) | −2.64185e9 | + | 1.26008e9i | −0.562226 | + | 0.268163i | ||||
\(581\) | 4.21713e9 | + | 3.06392e9i | 0.892073 | + | 0.648129i | ||||
\(582\) | − | 5.79231e9i | − | 1.21793i | ||||||
\(583\) | −5.60667e9 | + | 7.71692e9i | −1.17183 | + | 1.61289i | ||||
\(584\) | −1.04884e9 | + | 3.22800e9i | −0.217903 | + | 0.670638i | ||||
\(585\) | 1.65523e9 | − | 2.17902e8i | 0.341831 | − | 0.0450003i | ||||
\(586\) | −8.63043e8 | − | 2.65617e9i | −0.177170 | − | 0.545274i | ||||
\(587\) | −6.54201e9 | − | 2.12563e9i | −1.33499 | − | 0.433764i | −0.447373 | − | 0.894348i | \(-0.647640\pi\) |
−0.887616 | + | 0.460583i | \(0.847640\pi\) | |||||||
\(588\) | 2.12630e9 | + | 6.90876e8i | 0.431324 | + | 0.140146i | ||||
\(589\) | 3.50948e8 | + | 1.08011e9i | 0.0707683 | + | 0.217802i | ||||
\(590\) | 8.99012e8 | − | 8.53117e8i | 0.180212 | − | 0.171012i | ||||
\(591\) | −1.89006e8 | + | 5.81702e8i | −0.0376635 | + | 0.115916i | ||||
\(592\) | −4.89883e8 | + | 6.74266e8i | −0.0970435 | + | 0.133569i | ||||
\(593\) | 2.25930e8i | 0.0444921i | 0.999753 | + | 0.0222460i | \(0.00708172\pi\) | ||||
−0.999753 | + | 0.0222460i | \(0.992918\pi\) | |||||||
\(594\) | 4.88204e9 | + | 3.54701e9i | 0.955760 | + | 0.694400i | ||||
\(595\) | −1.22533e9 | − | 9.30784e9i | −0.238475 | − | 1.81150i | ||||
\(596\) | −1.73755e9 | + | 1.26240e9i | −0.336182 | + | 0.244251i | ||||
\(597\) | −3.91386e9 | − | 5.38696e9i | −0.752827 | − | 1.03618i | ||||
\(598\) | −3.86828e9 | + | 1.25688e9i | −0.739714 | + | 0.240348i | ||||
\(599\) | −8.25282e9 | −1.56895 | −0.784474 | − | 0.620162i | \(-0.787067\pi\) | ||||
−0.784474 | + | 0.620162i | \(0.787067\pi\) | |||||||
\(600\) | −2.48380e8 | + | 4.73801e9i | −0.0469447 | + | 0.895502i | ||||
\(601\) | −5.59501e9 | −1.05133 | −0.525666 | − | 0.850691i | \(-0.676184\pi\) | ||||
−0.525666 | + | 0.850691i | \(0.676184\pi\) | |||||||
\(602\) | −5.67040e9 | + | 1.84242e9i | −1.05932 | + | 0.344193i | ||||
\(603\) | 5.99440e8 | + | 8.25058e8i | 0.111336 | + | 0.153241i | ||||
\(604\) | 1.79919e9 | − | 1.30718e9i | 0.332236 | − | 0.241384i | ||||
\(605\) | 5.71995e9 | + | 1.06017e9i | 1.05014 | + | 0.194641i | ||||
\(606\) | 3.05667e9 | + | 2.22080e9i | 0.557948 | + | 0.405373i | ||||
\(607\) | 678472.i | 0.000123132i | 1.00000 | 6.15661e-5i | \(1.95971e-5\pi\) | |||||
−1.00000 | 6.15661e-5i | \(0.999980\pi\) | ||||||||
\(608\) | 4.91569e8 | − | 6.76587e8i | 0.0886997 | − | 0.122085i | ||||
\(609\) | 3.12182e9 | − | 9.60799e9i | 0.560077 | − | 1.72374i | ||||
\(610\) | 1.06251e8 | − | 5.73254e8i | 0.0189530 | − | 0.102257i | ||||
\(611\) | 1.28671e9 | + | 3.96009e9i | 0.228211 | + | 0.702362i | ||||
\(612\) | 8.72279e8 | + | 2.83421e8i | 0.153825 | + | 0.0499806i | ||||
\(613\) | 8.01106e9 | + | 2.60295e9i | 1.40468 | + | 0.456409i | 0.910702 | − | 0.413064i | \(-0.135541\pi\) |
0.493981 | + | 0.869473i | \(0.335541\pi\) | |||||||
\(614\) | −2.38179e9 | − | 7.33038e9i | −0.415253 | − | 1.27802i | ||||
\(615\) | 6.91432e9 | + | 3.75424e9i | 1.19863 | + | 0.650817i | ||||
\(616\) | 4.19314e9 | − | 1.29052e10i | 0.722782 | − | 2.22449i | ||||
\(617\) | −4.87843e9 | + | 6.71458e9i | −0.836146 | + | 1.15086i | 0.150602 | + | 0.988594i | \(0.451879\pi\) |
−0.986748 | + | 0.162261i | \(0.948121\pi\) | |||||||
\(618\) | 3.91025e8i | 0.0666416i | ||||||||
\(619\) | −3.90404e9 | − | 2.83645e9i | −0.661602 | − | 0.480682i | 0.205601 | − | 0.978636i | \(-0.434085\pi\) |
−0.867204 | + | 0.497954i | \(0.834085\pi\) | |||||||
\(620\) | −2.10338e9 | − | 2.21653e9i | −0.354443 | − | 0.373511i | ||||
\(621\) | −4.86828e9 | + | 3.53701e9i | −0.815745 | + | 0.592674i | ||||
\(622\) | 3.00939e9 | + | 4.14207e9i | 0.501432 | + | 0.690162i | ||||
\(623\) | 3.55880e9 | − | 1.15632e9i | 0.589651 | − | 0.191589i | ||||
\(624\) | 2.15792e9 | 0.355540 | ||||||||
\(625\) | −6.07006e9 | − | 6.38173e8i | −0.994519 | − | 0.104558i | ||||
\(626\) | −3.98465e9 | −0.649202 | ||||||||
\(627\) | −1.34109e9 | + | 4.35748e8i | −0.217282 | + | 0.0705991i | ||||
\(628\) | 4.22882e8 | + | 5.82047e8i | 0.0681335 | + | 0.0937777i | ||||
\(629\) | 2.62617e9 | − | 1.90802e9i | 0.420771 | − | 0.305708i | ||||
\(630\) | 1.52368e9 | + | 1.60565e9i | 0.242774 | + | 0.255834i | ||||
\(631\) | −7.16469e9 | − | 5.20545e9i | −1.13526 | − | 0.824813i | −0.148806 | − | 0.988866i | \(-0.547543\pi\) |
−0.986451 | + | 0.164053i | \(0.947543\pi\) | |||||||
\(632\) | 4.42114e8i | 0.0696665i | ||||||||
\(633\) | 1.13375e9 | − | 1.56047e9i | 0.177666 | − | 0.244536i | ||||
\(634\) | −9.87470e8 | + | 3.03912e9i | −0.153890 | + | 0.473626i | ||||
\(635\) | 8.86724e8 | + | 4.81460e8i | 0.137430 | + | 0.0746195i | ||||
\(636\) | 9.92820e8 | + | 3.05559e9i | 0.153028 | + | 0.470972i | ||||
\(637\) | 8.75819e9 | + | 2.84571e9i | 1.34254 | + | 0.436217i | ||||
\(638\) | −9.80995e9 | − | 3.18745e9i | −1.49553 | − | 0.485926i | ||||
\(639\) | −2.02303e8 | − | 6.22623e8i | −0.0306724 | − | 0.0944001i | ||||
\(640\) | −5.88013e7 | + | 3.17250e8i | −0.00886660 | + | 0.0478379i | ||||
\(641\) | 3.75222e9 | − | 1.15482e10i | 0.562711 | − | 1.73185i | −0.111945 | − | 0.993714i | \(-0.535708\pi\) |
0.674656 | − | 0.738132i | \(-0.264292\pi\) | |||||||
\(642\) | 6.80267e8 | − | 9.36307e8i | 0.101463 | − | 0.139652i | ||||
\(643\) | 2.84272e9i | 0.421693i | 0.977519 | + | 0.210846i | \(0.0676220\pi\) | ||||
−0.977519 | + | 0.210846i | \(0.932378\pi\) | |||||||
\(644\) | 3.29202e9 | + | 2.39179e9i | 0.485692 | + | 0.352876i | ||||
\(645\) | −5.45060e9 | − | 1.01025e9i | −0.799808 | − | 0.148242i | ||||
\(646\) | 9.70788e8 | − | 7.05319e8i | 0.141681 | − | 0.102937i | ||||
\(647\) | −2.91837e9 | − | 4.01680e9i | −0.423619 | − | 0.583062i | 0.542855 | − | 0.839827i | \(-0.317343\pi\) |
−0.966474 | + | 0.256765i | \(0.917343\pi\) | |||||||
\(648\) | 4.22264e9 | − | 1.37202e9i | 0.609638 | − | 0.198083i | ||||
\(649\) | −3.29562e9 | −0.473239 | ||||||||
\(650\) | −3.07666e8 | + | 5.86893e9i | −0.0439423 | + | 0.838228i | ||||
\(651\) | 1.05467e10 | 1.49824 | ||||||||
\(652\) | −2.01311e9 | + | 6.54098e8i | −0.284446 | + | 0.0924221i | ||||
\(653\) | 3.54698e9 | + | 4.88201e9i | 0.498498 | + | 0.686123i | 0.981927 | − | 0.189260i | \(-0.0606090\pi\) |
−0.483429 | + | 0.875383i | \(0.660609\pi\) | |||||||
\(654\) | 2.04660e9 | − | 1.48694e9i | 0.286095 | − | 0.207860i | ||||
\(655\) | 6.30266e8 | + | 4.78762e9i | 0.0876353 | + | 0.665695i | ||||
\(656\) | −3.69803e9 | − | 2.68677e9i | −0.511454 | − | 0.371593i | ||||
\(657\) | 1.47228e9i | 0.202541i | ||||||||
\(658\) | −3.24499e9 | + | 4.46635e9i | −0.444041 | + | 0.611170i | ||||
\(659\) | 1.35114e9 | − | 4.15837e9i | 0.183908 | − | 0.566010i | −0.816020 | − | 0.578024i | \(-0.803824\pi\) |
0.999928 | + | 0.0120134i | \(0.00382407\pi\) | |||||||
\(660\) | 2.75212e9 | − | 2.61163e9i | 0.372618 | − | 0.353596i | ||||
\(661\) | 4.56694e9 | + | 1.40556e10i | 0.615064 | + | 1.89297i | 0.400656 | + | 0.916229i | \(0.368782\pi\) |
0.214409 | + | 0.976744i | \(0.431218\pi\) | |||||||
\(662\) | 9.63709e9 | + | 3.13128e9i | 1.29105 | + | 0.419487i | ||||
\(663\) | −7.99342e9 | − | 2.59722e9i | −1.06521 | − | 0.346108i | ||||
\(664\) | −1.84206e9 | − | 5.66929e9i | −0.244184 | − | 0.751520i | ||||
\(665\) | −2.16654e9 | + | 2.85214e8i | −0.285688 | + | 0.0376093i | ||||
\(666\) | −2.36512e8 | + | 7.27908e8i | −0.0310236 | + | 0.0954809i | ||||
\(667\) | 6.04579e9 | − | 8.32132e9i | 0.788883 | − | 1.08580i | ||||
\(668\) | − | 1.46460e9i | − | 0.190108i | ||||||
\(669\) | 2.67729e9 | + | 1.94516e9i | 0.345703 | + | 0.251168i | ||||
\(670\) | −3.24029e9 | + | 1.54551e9i | −0.416219 | + | 0.198522i | ||||
\(671\) | −1.25423e9 | + | 9.11249e8i | −0.160268 | + | 0.116442i | ||||
\(672\) | −4.56500e9 | − | 6.28318e9i | −0.580294 | − | 0.798707i | ||||
\(673\) | −2.41458e9 | + | 7.84544e8i | −0.305343 | + | 0.0992121i | −0.457681 | − | 0.889116i | \(-0.651320\pi\) |
0.152338 | + | 0.988328i | \(0.451320\pi\) | |||||||
\(674\) | 7.07090e9 | 0.889539 | ||||||||
\(675\) | 2.25026e9 | + | 8.39859e9i | 0.281624 | + | 1.05110i | ||||
\(676\) | −8.15837e8 | −0.101576 | ||||||||
\(677\) | −6.37727e9 | + | 2.07210e9i | −0.789904 | + | 0.256655i | −0.676063 | − | 0.736844i | \(-0.736315\pi\) |
−0.113841 | + | 0.993499i | \(0.536315\pi\) | |||||||
\(678\) | −3.24041e9 | − | 4.46004e9i | −0.399297 | − | 0.549585i | ||||
\(679\) | −1.93104e10 | + | 1.40298e10i | −2.36727 | + | 1.71992i | ||||
\(680\) | −5.12285e9 | + | 9.43495e9i | −0.624785 | + | 1.15069i | ||||
\(681\) | 6.95233e9 | + | 5.05116e9i | 0.843559 | + | 0.612882i | ||||
\(682\) | − | 1.07684e10i | − | 1.29989i | ||||||
\(683\) | 1.50023e9 | − | 2.06489e9i | 0.180171 | − | 0.247984i | −0.709373 | − | 0.704833i | \(-0.751022\pi\) |
0.889544 | + | 0.456849i | \(0.151022\pi\) | |||||||
\(684\) | 6.59705e7 | − | 2.03036e8i | 0.00788231 | − | 0.0242593i | ||||
\(685\) | 4.35958e8 | + | 9.14022e8i | 0.0518236 | + | 0.108652i | ||||
\(686\) | 8.01268e8 | + | 2.46605e9i | 0.0947640 | + | 0.291654i | ||||
\(687\) | 4.86407e9 | + | 1.58043e9i | 0.572337 | + | 0.185963i | ||||
\(688\) | 3.06299e9 | + | 9.95224e8i | 0.358580 | + | 0.116510i | ||||
\(689\) | 4.08941e9 | + | 1.25859e10i | 0.476314 | + | 1.46594i | ||||
\(690\) | −2.15853e9 | − | 4.52554e9i | −0.250142 | − | 0.524443i | ||||
\(691\) | −1.88241e9 | + | 5.79347e9i | −0.217041 | + | 0.667983i | 0.781961 | + | 0.623327i | \(0.214219\pi\) |
−0.999002 | + | 0.0446566i | \(0.985781\pi\) | |||||||
\(692\) | 8.99228e8 | − | 1.23768e9i | 0.103157 | − | 0.141983i | ||||
\(693\) | − | 5.88602e9i | − | 0.671824i | ||||||
\(694\) | −6.03541e9 | − | 4.38498e9i | −0.685407 | − | 0.497977i | ||||
\(695\) | −1.87075e9 | + | 3.44543e9i | −0.211382 | + | 0.389311i | ||||
\(696\) | −9.34646e9 | + | 6.79060e9i | −1.05079 | + | 0.763441i | ||||
\(697\) | 1.04646e10 | + | 1.44033e10i | 1.17060 | + | 1.61119i | ||||
\(698\) | 6.32385e9 | − | 2.05474e9i | 0.703862 | − | 0.228699i | ||||
\(699\) | 2.81763e9 | 0.312043 | ||||||||
\(700\) | 4.93109e9 | − | 3.20218e9i | 0.543375 | − | 0.352860i | ||||
\(701\) | 1.15167e10 | 1.26274 | 0.631372 | − | 0.775480i | \(-0.282492\pi\) | ||||
0.631372 | + | 0.775480i | \(0.282492\pi\) | |||||||
\(702\) | 7.96236e9 | − | 2.58713e9i | 0.868685 | − | 0.282253i | ||||
\(703\) | −4.44122e8 | − | 6.11281e8i | −0.0482124 | − | 0.0663586i | ||||
\(704\) | −1.05619e10 | + | 7.67365e9i | −1.14087 | + | 0.828891i | ||||
\(705\) | −4.63294e9 | + | 2.20976e9i | −0.497961 | + | 0.237510i | ||||
\(706\) | −4.20372e6 | − | 3.05418e6i | −0.000449591 | − | 0.000326647i | ||||
\(707\) | − | 1.55694e10i | − | 1.65693i | ||||||
\(708\) | −6.52466e8 | + | 8.98042e8i | −0.0690942 | + | 0.0951000i | ||||
\(709\) | 1.41583e9 | − | 4.35748e9i | 0.149194 | − | 0.459170i | −0.848333 | − | 0.529463i | \(-0.822393\pi\) |
0.997526 | + | 0.0702928i | \(0.0223933\pi\) | |||||||
\(710\) | 2.28484e9 | − | 3.00787e8i | 0.239580 | − | 0.0315395i | ||||
\(711\) | 5.92626e7 | + | 1.82392e8i | 0.00618354 | + | 0.0190310i | ||||
\(712\) | −4.06974e9 | − | 1.32234e9i | −0.422558 | − | 0.137298i | ||||
\(713\) | 1.02125e10 | + | 3.31823e9i | 1.05516 | + | 0.342842i | ||||
\(714\) | −3.44354e9 | − | 1.05981e10i | −0.354048 | − | 1.08965i | ||||
\(715\) | 1.13359e10 | − | 1.07572e10i | 1.15981 | − | 1.10060i | ||||
\(716\) | −1.97187e9 | + | 6.06879e9i | −0.200762 | + | 0.617883i | ||||
\(717\) | −4.66720e9 | + | 6.42384e9i | −0.472867 | + | 0.650846i | ||||
\(718\) | 4.39482e9i | 0.443104i | ||||||||
\(719\) | 3.93362e9 | + | 2.85794e9i | 0.394676 | + | 0.286749i | 0.767369 | − | 0.641206i | \(-0.221566\pi\) |
−0.372693 | + | 0.927955i | \(0.621566\pi\) | |||||||
\(720\) | −1.56059e8 | − | 1.18546e9i | −0.0155821 | − | 0.118365i | ||||
\(721\) | 1.30360e9 | − | 9.47122e8i | 0.129530 | − | 0.0941093i | ||||
\(722\) | 4.32343e9 | + | 5.95069e9i | 0.427512 | + | 0.588419i | ||||
\(723\) | −5.77151e9 | + | 1.87528e9i | −0.567944 | + | 0.184536i | ||||
\(724\) | −7.20894e9 | −0.705970 | ||||||||
\(725\) | −8.09424e9 | − | 1.24645e10i | −0.788848 | − | 1.21476i | ||||
\(726\) | 6.90510e9 | 0.669718 | ||||||||
\(727\) | 2.02274e9 | − | 6.57228e8i | 0.195240 | − | 0.0634374i | −0.209765 | − | 0.977752i | \(-0.567270\pi\) |
0.405005 | + | 0.914315i | \(0.367270\pi\) | |||||||
\(728\) | −1.10654e10 | − | 1.52302e10i | −1.06294 | − | 1.46301i | ||||
\(729\) | 9.20695e9 | − | 6.68924e9i | 0.880176 | − | 0.639485i | ||||
\(730\) | −5.09593e9 | − | 9.44515e8i | −0.484835 | − | 0.0898625i | ||||
\(731\) | −1.01482e10 | − | 7.37308e9i | −0.960897 | − | 0.698133i | ||||
\(732\) | 5.22180e8i | 0.0492075i | ||||||||
\(733\) | 9.74161e9 | − | 1.34082e10i | 0.913623 | − | 1.25749i | −0.0522915 | − | 0.998632i | \(-0.516652\pi\) |
0.965914 | − | 0.258862i | \(-0.0833475\pi\) | |||||||
\(734\) | −1.65372e9 | + | 5.08961e9i | −0.154356 | + | 0.475060i | ||||
\(735\) | −2.06884e9 | + | 1.11620e10i | −0.192186 | + | 1.03690i | ||||
\(736\) | −2.44350e9 | − | 7.52033e9i | −0.225913 | − | 0.695288i | ||||
\(737\) | 9.07898e9 | + | 2.94994e9i | 0.835412 | + | 0.271442i | ||||
\(738\) | −3.99223e9 | − | 1.29715e9i | −0.365610 | − | 0.118794i | ||||
\(739\) | −7.60041e8 | − | 2.33916e9i | −0.0692757 | − | 0.213209i | 0.910425 | − | 0.413674i | \(-0.135755\pi\) |
−0.979701 | + | 0.200465i | \(0.935755\pi\) | |||||||
\(740\) | 1.78661e9 | + | 9.70066e8i | 0.162076 | + | 0.0880016i | ||||
\(741\) | −6.04543e8 | + | 1.86059e9i | −0.0545838 | + | 0.167992i | ||||
\(742\) | −1.03132e10 | + | 1.41949e10i | −0.926787 | + | 1.27561i | ||||
\(743\) | − | 2.17470e10i | − | 1.94509i | −0.232718 | − | 0.972544i | \(-0.574762\pi\) | ||
0.232718 | − | 0.972544i | \(-0.425238\pi\) | |||||||
\(744\) | −9.75746e9 | − | 7.08921e9i | −0.868624 | − | 0.631092i | ||||
\(745\) | −7.50665e9 | − | 7.91048e9i | −0.665119 | − | 0.700900i | ||||
\(746\) | 1.78385e9 | − | 1.29604e9i | 0.157315 | − | 0.114296i | ||||
\(747\) | −1.51987e9 | − | 2.09192e9i | −0.133409 | − | 0.183621i | ||||
\(748\) | 8.16506e9 | − | 2.65299e9i | 0.713352 | − | 0.231782i | ||||
\(749\) | −4.76917e9 | −0.414722 | ||||||||
\(750\) | −7.22243e9 | + | 5.68254e8i | −0.625128 | + | 0.0491845i | ||||
\(751\) | 2.14931e8 | 0.0185165 | 0.00925825 | − | 0.999957i | \(-0.497053\pi\) | ||||
0.00925825 | + | 0.999957i | \(0.497053\pi\) | |||||||
\(752\) | 2.83618e9 | − | 9.21529e8i | 0.243204 | − | 0.0790218i | ||||
\(753\) | −8.52226e9 | − | 1.17299e10i | −0.727399 | − | 1.00118i | ||||
\(754\) | −1.15774e10 | + | 8.41146e9i | −0.983582 | + | 0.714614i | ||||
\(755\) | 7.77294e9 | + | 8.19110e9i | 0.657311 | + | 0.692672i | ||||
\(756\) | −6.77619e9 | − | 4.92319e9i | −0.570373 | − | 0.414401i | ||||
\(757\) | − | 1.71506e10i | − | 1.43696i | −0.695547 | − | 0.718480i | \(-0.744838\pi\) | ||
0.695547 | − | 0.718480i | \(-0.255162\pi\) | |||||||
\(758\) | 7.54080e9 | − | 1.03790e10i | 0.628891 | − | 0.865594i | ||||
\(759\) | −4.12002e9 | + | 1.26801e10i | −0.342022 | + | 1.05263i | ||||
\(760\) | 2.19613e9 | + | 1.19242e9i | 0.181472 | + | 0.0985332i | ||||
\(761\) | 4.05175e9 | + | 1.24700e10i | 0.333270 | + | 1.02570i | 0.967568 | + | 0.252611i | \(0.0812893\pi\) |
−0.634298 | + | 0.773089i | \(0.718711\pi\) | |||||||
\(762\) | 1.13905e9 | + | 3.70098e8i | 0.0932607 | + | 0.0303023i | ||||
\(763\) | −9.91433e9 | − | 3.22136e9i | −0.808030 | − | 0.262545i | ||||
\(764\) | −7.21854e8 | − | 2.22164e9i | −0.0585629 | − | 0.180238i | ||||
\(765\) | −8.48708e8 | + | 4.57903e9i | −0.0685399 | + | 0.369793i | ||||
\(766\) | 5.33381e8 | − | 1.64158e9i | 0.0428782 | − | 0.131966i | ||||
\(767\) | −2.68750e9 | + | 3.69902e9i | −0.215062 | + | 0.296008i | ||||
\(768\) | 1.06079e10i | 0.845014i | ||||||||
\(769\) | 6.55598e9 | + | 4.76320e9i | 0.519871 | + | 0.377708i | 0.816555 | − | 0.577267i | \(-0.195881\pi\) |
−0.296684 | + | 0.954976i | \(0.595881\pi\) | |||||||
\(770\) | 2.03730e10 | + | 3.77606e9i | 1.60819 | + | 0.298072i | ||||
\(771\) | 1.06987e9 | − | 7.77307e8i | 0.0840701 | − | 0.0610805i | ||||
\(772\) | 3.35723e9 | + | 4.62083e9i | 0.262616 | + | 0.361460i | ||||
\(773\) | −4.36853e9 | + | 1.41942e9i | −0.340178 | + | 0.110531i | −0.474124 | − | 0.880458i | \(-0.657235\pi\) |
0.133946 | + | 0.990989i | \(0.457235\pi\) | |||||||
\(774\) | 2.95757e9 | 0.229267 | ||||||||
\(775\) | 9.76444e9 | − | 1.20577e10i | 0.753514 | − | 0.930484i | ||||
\(776\) | 2.72959e10 | 2.09692 | ||||||||
\(777\) | −6.67338e9 | + | 2.16831e9i | −0.510355 | + | 0.165824i | ||||
\(778\) | 7.67550e9 | + | 1.05644e10i | 0.584357 | + | 0.804298i | ||||
\(779\) | 3.35258e9 | − | 2.43580e9i | 0.254096 | − | 0.184612i | ||||
\(780\) | −6.87016e8 | − | 5.21871e9i | −0.0518365 | − | 0.393760i | ||||
\(781\) | −4.95770e9 | − | 3.60198e9i | −0.372393 | − | 0.270560i | ||||
\(782\) | − | 1.13457e10i | − | 0.848414i | ||||||
\(783\) | −1.24445e10 | + | 1.71284e10i | −0.926426 | + | 1.27512i | ||||
\(784\) | 2.03807e9 | − | 6.27252e9i | 0.151047 | − | 0.464875i | ||||
\(785\) | −2.64987e9 | + | 2.51459e9i | −0.195515 | + | 0.185534i | ||||
\(786\) | 1.77124e9 | + | 5.45130e9i | 0.130106 | + | 0.400425i | ||||
\(787\) | 1.67521e10 | + | 5.44309e9i | 1.22506 | + | 0.398047i | 0.848923 | − | 0.528516i | \(-0.177251\pi\) |
0.376139 | + | 0.926563i | \(0.377251\pi\) | |||||||
\(788\) | −8.24364e8 | − | 2.67852e8i | −0.0600174 | − | 0.0195008i | ||||
\(789\) | −2.04776e8 | − | 6.30235e8i | −0.0148426 | − | 0.0456807i | ||||
\(790\) | −6.69321e8 | + | 8.81127e7i | −0.0482992 | + | 0.00635834i | ||||
\(791\) | −7.02014e9 | + | 2.16058e10i | −0.504345 | + | 1.55221i | ||||
\(792\) | −3.95643e9 | + | 5.44556e9i | −0.282987 | + | 0.389498i | ||||
\(793\) | 2.15085e9i | 0.153163i | ||||||||
\(794\) | 1.21199e10 | + | 8.80559e9i | 0.859262 | + | 0.624291i | ||||
\(795\) | −1.47244e10 | + | 7.02302e9i | −1.03933 | + | 0.495723i | ||||
\(796\) | 7.63419e9 | − | 5.54656e9i | 0.536497 | − | 0.389788i | ||||
\(797\) | −3.88631e9 | − | 5.34905e9i | −0.271915 | − | 0.374259i | 0.651120 | − | 0.758975i | \(-0.274299\pi\) |
−0.923035 | + | 0.384716i | \(0.874299\pi\) | |||||||
\(798\) | −2.46688e9 | + | 8.01537e8i | −0.171845 | + | 0.0558359i | ||||
\(799\) | −1.16150e10 | −0.805572 | ||||||||
\(800\) | −1.14098e10 | − | 5.98133e8i | −0.787885 | − | 0.0413031i | ||||
\(801\) | −1.85620e9 | −0.127618 | ||||||||
\(802\) | 7.40031e9 | − | 2.40451e9i | 0.506570 | − | 0.164595i | ||||
\(803\) | 8.10054e9 | + | 1.11494e10i | 0.552090 | + | 0.759886i | ||||
\(804\) | 2.60130e9 | − | 1.88995e9i | 0.176520 | − | 0.128249i | ||||
\(805\) | −9.85897e9 | + | 1.81576e10i | −0.666110 | + | 1.22680i | ||||
\(806\) | −1.20865e10 | − | 8.78135e9i | −0.813069 | − | 0.590729i | ||||
\(807\) | − | 1.43706e10i | − | 0.962537i | ||||||
\(808\) | −1.04654e10 | + | 1.44044e10i | −0.697935 | + | 0.960625i | ||||
\(809\) | 7.56788e9 | − | 2.32915e10i | 0.502521 | − | 1.54660i | −0.302377 | − | 0.953188i | \(-0.597780\pi\) |
0.804898 | − | 0.593413i | \(-0.202220\pi\) | |||||||
\(810\) | 2.91868e9 | + | 6.11927e9i | 0.192970 | + | 0.404578i | ||||
\(811\) | 1.69340e9 | + | 5.21175e9i | 0.111477 | + | 0.343092i | 0.991196 | − | 0.132403i | \(-0.0422692\pi\) |
−0.879719 | + | 0.475494i | \(0.842269\pi\) | |||||||
\(812\) | 1.36160e10 | + | 4.42412e9i | 0.892493 | + | 0.289989i | ||||
\(813\) | 1.75409e10 | + | 5.69939e9i | 1.14482 | + | 0.371973i | ||||
\(814\) | 2.21389e9 | + | 6.81366e9i | 0.143870 | + | 0.442787i | ||||
\(815\) | −4.62696e9 | − | 9.70082e9i | −0.299395 | − | 0.627707i | ||||
\(816\) | −1.86010e9 | + | 5.72481e9i | −0.119845 | + | 0.368846i | ||||
\(817\) | −1.71620e9 | + | 2.36214e9i | −0.110101 | + | 0.151541i | ||||
\(818\) | 2.96444e9i | 0.189368i | ||||||||
\(819\) | −6.60650e9 | − | 4.79990e9i | −0.420221 | − | 0.305308i | ||||
\(820\) | −5.32035e9 | + | 9.79869e9i | −0.336970 | + | 0.620611i | ||||
\(821\) | −5.48042e9 | + | 3.98176e9i | −0.345631 | + | 0.251116i | −0.747034 | − | 0.664786i | \(-0.768523\pi\) |
0.401403 | + | 0.915902i | \(0.368523\pi\) | |||||||
\(822\) | 7.06527e8 | + | 9.72451e8i | 0.0443688 | + | 0.0610684i | ||||
\(823\) | 1.23460e9 | − | 4.01146e8i | 0.0772017 | − | 0.0250844i | −0.270162 | − | 0.962815i | \(-0.587077\pi\) |
0.347363 | + | 0.937731i | \(0.387077\pi\) | |||||||
\(824\) | −1.84268e9 | −0.114737 | ||||||||
\(825\) | 1.49712e10 | + | 1.21238e10i | 0.928259 | + | 0.751712i | ||||
\(826\) | −6.06214e9 | −0.374279 | ||||||||
\(827\) | −3.70579e9 | + | 1.20408e9i | −0.227830 | + | 0.0740266i | −0.420708 | − | 0.907196i | \(-0.638218\pi\) |
0.192877 | + | 0.981223i | \(0.438218\pi\) | |||||||
\(828\) | −1.18645e9 | − | 1.63301e9i | −0.0726348 | − | 0.0999732i | ||||
\(829\) | 2.33496e10 | − | 1.69645e10i | 1.42344 | − | 1.03419i | 0.432250 | − | 0.901754i | \(-0.357720\pi\) |
0.991191 | − | 0.132437i | \(-0.0422801\pi\) | |||||||
\(830\) | 8.21569e9 | − | 3.91861e9i | 0.498736 | − | 0.237880i | ||||
\(831\) | −1.01993e10 | − | 7.41025e9i | −0.616550 | − | 0.447950i | ||||
\(832\) | 1.81124e10i | 1.09029i | ||||||||
\(833\) | −1.50989e10 | + | 2.07819e10i | −0.905084 | + | 1.24574i | ||||
\(834\) | −1.43804e9 | + | 4.42584e9i | −0.0858402 | + | 0.264189i | ||||
\(835\) | 7.37304e9 | − | 9.70623e8i | 0.438272 | − | 0.0576963i | ||||
\(836\) | −6.17524e8 | − | 1.90054e9i | −0.0365538 | − | 0.112501i | ||||
\(837\) | −2.10211e10 | − | 6.83015e9i | −1.23913 | − | 0.402616i | ||||
\(838\) | −3.97622e9 | − | 1.29195e9i | −0.233408 | − | 0.0758389i | ||||
\(839\) | −1.15585e9 | − | 3.55733e9i | −0.0675668 | − | 0.207949i | 0.911572 | − | 0.411139i | \(-0.134869\pi\) |
−0.979139 | + | 0.203190i | \(0.934869\pi\) | |||||||
\(840\) | 1.68338e10 | − | 1.59745e10i | 0.979953 | − | 0.929927i | ||||
\(841\) | 5.85247e9 | − | 1.80120e10i | 0.339276 | − | 1.04418i | ||||
\(842\) | −3.08959e8 | + | 4.25245e8i | −0.0178364 | + | 0.0245498i | ||||
\(843\) | − | 1.65453e10i | − | 0.951215i | ||||||
\(844\) | 2.21144e9 | + | 1.60671e9i | 0.126613 | + | 0.0919894i | ||||
\(845\) | −5.40673e8 | − | 4.10706e9i | −0.0308274 | − | 0.234171i | ||||
\(846\) | 2.21555e9 | − | 1.60969e9i | 0.125801 | − | 0.0913999i | ||||
\(847\) | −1.67252e10 | − | 2.30202e10i | −0.945756 | − | 1.30172i | ||||
\(848\) | 9.01390e9 | − | 2.92879e9i | 0.507606 | − | 0.164931i | ||||
\(849\) | 1.48041e10 | 0.830245 | ||||||||
\(850\) | −1.53047e10 | − | 5.87517e9i | −0.854786 | − | 0.328136i | ||||
\(851\) | −7.14411e9 | −0.397369 | ||||||||
\(852\) | −1.96305e9 | + | 6.37833e8i | −0.108741 | + | 0.0353320i | ||||
\(853\) | 2.06552e10 | + | 2.84295e10i | 1.13949 | + | 1.56837i | 0.768652 | + | 0.639667i | \(0.220928\pi\) |
0.370833 | + | 0.928700i | \(0.379072\pi\) | |||||||
\(854\) | −2.30709e9 | + | 1.67620e9i | −0.126754 | + | 0.0920923i | ||||
\(855\) | 1.06584e9 | + | 1.97550e8i | 0.0583190 | + | 0.0108092i | ||||
\(856\) | 4.41229e9 | + | 3.20572e9i | 0.240439 | + | 0.174690i | ||||
\(857\) | 2.47696e10i | 1.34427i | 0.740429 | + | 0.672134i | \(0.234622\pi\) | ||||
−0.740429 | + | 0.672134i | \(0.765378\pi\) | |||||||
\(858\) | 1.09032e10 | − | 1.50070e10i | 0.589317 | − | 0.811125i | ||||
\(859\) | −2.54811e9 | + | 7.84227e9i | −0.137165 | + | 0.422149i | −0.995920 | − | 0.0902359i | \(-0.971238\pi\) |
0.858756 | + | 0.512385i | \(0.171238\pi\) | |||||||
\(860\) | 1.43169e9 | − | 7.72437e9i | 0.0767545 | − | 0.414113i | ||||
\(861\) | −1.18922e10 | − | 3.66003e10i | −0.634965 | − | 1.95422i | ||||
\(862\) | −2.13407e10 | − | 6.93402e9i | −1.13484 | − | 0.368731i | ||||
\(863\) | −2.22493e10 | − | 7.22925e9i | −1.17836 | − | 0.382874i | −0.346605 | − | 0.938011i | \(-0.612666\pi\) |
−0.831759 | + | 0.555138i | \(0.812666\pi\) | |||||||
\(864\) | 5.02964e9 | + | 1.54796e10i | 0.265301 | + | 0.816512i | ||||
\(865\) | 6.82662e9 | + | 3.70662e9i | 0.358633 | + | 0.194725i | ||||
\(866\) | 4.91789e9 | − | 1.51357e10i | 0.257316 | − | 0.791937i | ||||
\(867\) | 4.41180e9 | − | 6.07232e9i | 0.229905 | − | 0.316437i | ||||
\(868\) | 1.49463e10i | 0.775739i | ||||||||
\(869\) | 1.45231e9 | + | 1.05517e9i | 0.0750742 | + | 0.0545446i | ||||
\(870\) | −1.21431e10 | − | 1.27964e10i | −0.625190 | − | 0.658823i | ||||
\(871\) | 1.07147e10 | − | 7.78469e9i | 0.549436 | − | 0.399188i | ||||
\(872\) | 7.00711e9 | + | 9.64446e9i | 0.357875 | + | 0.492573i | ||||
\(873\) | 1.12608e10 | − | 3.65885e9i | 0.572821 | − | 0.186121i | ||||
\(874\) | −2.64089e9 | −0.133801 | ||||||||
\(875\) | 1.93883e10 | + | 2.27018e10i | 0.978387 | + | 1.14560i | ||||
\(876\) | 4.64191e9 | 0.233310 | ||||||||
\(877\) | −1.73753e10 | + | 5.64557e9i | −0.869828 | + | 0.282624i | −0.709727 | − | 0.704477i | \(-0.751182\pi\) |
−0.160100 | + | 0.987101i | \(0.551182\pi\) | |||||||
\(878\) | 5.09398e9 | + | 7.01126e9i | 0.253996 | + | 0.349595i | ||||
\(879\) | −1.02756e10 | + | 7.46563e9i | −0.510322 | + | 0.370770i | ||||
\(880\) | −7.70423e9 | − | 8.11868e9i | −0.381101 | − | 0.401602i | ||||
\(881\) | −3.67191e9 | − | 2.66780e9i | −0.180916 | − | 0.131443i | 0.493642 | − | 0.869665i | \(-0.335665\pi\) |
−0.674557 | + | 0.738223i | \(0.735665\pi\) | |||||||
\(882\) | − | 6.05665e9i | − | 0.297230i | ||||||
\(883\) | 9.54651e9 | − | 1.31396e10i | 0.466640 | − | 0.642275i | −0.509229 | − | 0.860631i | \(-0.670069\pi\) |
0.975869 | + | 0.218356i | \(0.0700694\pi\) | |||||||
\(884\) | 3.68068e9 | − | 1.13280e10i | 0.179203 | − | 0.551529i | ||||
\(885\) | −4.95329e9 | − | 2.68947e9i | −0.240211 | − | 0.130426i | ||||
\(886\) | 5.04057e9 | + | 1.55133e10i | 0.243479 | + | 0.749352i | ||||
\(887\) | −2.34853e9 | − | 7.63084e8i | −0.112996 | − | 0.0367147i | 0.251973 | − | 0.967734i | \(-0.418921\pi\) |
−0.364969 | + | 0.931020i | \(0.618921\pi\) | |||||||
\(888\) | 7.63149e9 | + | 2.47962e9i | 0.365733 | + | 0.118834i | ||||
\(889\) | −1.52510e9 | − | 4.69379e9i | −0.0728020 | − | 0.224062i | ||||
\(890\) | 1.19081e9 | − | 6.42477e9i | 0.0566210 | − | 0.305487i | ||||
\(891\) | 5.57095e9 | − | 1.71456e10i | 0.263850 | − | 0.812047i | ||||
\(892\) | −2.75661e9 | + | 3.79414e9i | −0.130046 | + | 0.178993i | ||||
\(893\) | 2.70356e9i | 0.127045i | ||||||||
\(894\) | −1.04722e10 | − | 7.60851e9i | −0.490182 | − | 0.356138i | ||||
\(895\) | −3.18581e10 | − | 5.90479e9i | −1.48538 | − | 0.275311i | ||||
\(896\) | 1.27679e9 | − | 9.27643e8i | 0.0592982 | − | 0.0430827i | ||||
\(897\) | 1.08725e10 | + | 1.49647e10i | 0.502984 | + | 0.692299i | ||||
\(898\) | −1.36344e10 | + | 4.43008e9i | −0.628302 | + | 0.204148i | ||||
\(899\) | 3.77803e10 | 1.73423 | ||||||||
\(900\) | −2.81722e9 | + | 7.54827e8i | −0.128817 | + | 0.0345143i | ||||
\(901\) | −3.69146e10 | −1.68136 | ||||||||
\(902\) | −3.73697e10 | + | 1.21421e10i | −1.69549 | + | 0.550899i | ||||
\(903\) | 1.59376e10 | + | 2.19362e10i | 0.720305 | + | 0.991414i | ||||
\(904\) | 2.10176e10 | − | 1.52702e10i | 0.946225 | − | 0.687473i | ||||
\(905\) | −4.77752e9 | − | 3.62910e10i | −0.214256 | − | 1.62753i | ||||
\(906\) | 1.08437e10 | + | 7.87841e9i | 0.484428 | + | 0.351957i | ||||
\(907\) | 4.98709e9i | 0.221933i | 0.993824 | + | 0.110966i | \(0.0353946\pi\) | ||||
−0.993824 | + | 0.110966i | \(0.964605\pi\) | |||||||
\(908\) | −7.15831e9 | + | 9.85256e9i | −0.317329 | + | 0.436766i | ||||
\(909\) | −2.38662e9 | + | 7.34526e9i | −0.105392 | + | 0.324365i | ||||
\(910\) | 2.08519e10 | − | 1.97874e10i | 0.917278 | − | 0.870452i | ||||
\(911\) | 2.82207e9 | + | 8.68544e9i | 0.123667 | + | 0.380608i | 0.993656 | − | 0.112464i | \(-0.0358741\pi\) |
−0.869989 | + | 0.493071i | \(0.835874\pi\) | |||||||
\(912\) | 1.33254e9 | + | 4.32967e8i | 0.0581698 | + | 0.0189005i | ||||
\(913\) | −2.30196e10 | − | 7.47952e9i | −1.00104 | − | 0.325256i | ||||
\(914\) | −5.53453e9 | − | 1.70335e10i | −0.239756 | − | 0.737893i | ||||
\(915\) | −2.62874e9 | + | 3.46060e8i | −0.113442 | + | 0.0149341i | ||||
\(916\) | −2.23973e9 | + | 6.89317e9i | −0.0962855 | + | 0.296336i | ||||
\(917\) | 1.38834e10 | − | 1.91088e10i | 0.594569 | − | 0.818354i | ||||
\(918\) | 2.33537e10i | 0.996336i | ||||||||
\(919\) | 1.95346e10 | + | 1.41928e10i | 0.830235 | + | 0.603201i | 0.919626 | − | 0.392795i | \(-0.128492\pi\) |
−0.0893905 | + | 0.995997i | \(0.528492\pi\) | |||||||
\(920\) | 2.13263e10 | − | 1.01719e10i | 0.902939 | − | 0.430671i | ||||
\(921\) | −2.83580e10 | + | 2.06033e10i | −1.19610 | + | 0.869016i | ||||
\(922\) | −8.35242e9 | − | 1.14961e10i | −0.350957 | − | 0.483051i | ||||
\(923\) | −8.08577e9 | + | 2.62723e9i | −0.338466 | + | 0.109974i | ||||
\(924\) | −1.85579e10 | −0.773884 | ||||||||
\(925\) | −3.69945e9 | + | 9.63696e9i | −0.153688 | + | 0.400354i | ||||
\(926\) | 2.66481e9 | 0.110288 | ||||||||
\(927\) | −7.60189e8 | + | 2.47000e8i | −0.0313431 | + | 0.0101840i | ||||
\(928\) | −1.63527e10 | − | 2.25076e10i | −0.671695 | − | 0.924508i | ||||
\(929\) | −1.10789e10 | + | 8.04928e9i | −0.453358 | + | 0.329384i | −0.790920 | − | 0.611920i | \(-0.790398\pi\) |
0.337562 | + | 0.941303i | \(0.390398\pi\) | |||||||
\(930\) | 8.78779e9 | − | 1.61848e10i | 0.358253 | − | 0.659808i | ||||
\(931\) | 4.83731e9 | + | 3.51451e9i | 0.196462 | + | 0.142738i | ||||
\(932\) | 3.99303e9i | 0.161565i | ||||||||
\(933\) | 1.36860e10 | − | 1.88371e10i | 0.551684 | − | 0.759328i | ||||
\(934\) | −1.13987e10 | + | 3.50815e10i | −0.457762 | + | 1.40885i | ||||
\(935\) | 1.87668e10 | + | 3.93461e10i | 0.750842 | + | 1.57420i | ||||
\(936\) | 2.88576e9 | + | 8.88144e9i | 0.115025 | + | 0.354012i | ||||
\(937\) | 5.30570e8 | + | 1.72393e8i | 0.0210695 | + | 0.00684589i | 0.319533 | − | 0.947575i | \(-0.396474\pi\) |
−0.298463 | + | 0.954421i | \(0.596474\pi\) | |||||||
\(938\) | 1.67003e10 | + | 5.42627e9i | 0.660717 | + | 0.214680i | ||||
\(939\) | 5.59976e9 | + | 1.72343e10i | 0.220719 | + | 0.679304i | ||||
\(940\) | −3.13158e9 | − | 6.56562e9i | −0.122975 | − | 0.257827i | ||||
\(941\) | −4.26622e9 | + | 1.31301e10i | −0.166909 | + | 0.513693i | −0.999172 | − | 0.0406880i | \(-0.987045\pi\) |
0.832263 | + | 0.554381i | \(0.187045\pi\) | |||||||
\(942\) | −2.54871e9 | + | 3.50800e9i | −0.0993443 | + | 0.136736i | ||||
\(943\) | − | 3.91820e10i | − | 1.52158i | ||||||
\(944\) | 2.64920e9 | + | 1.92476e9i | 0.102497 | + | 0.0744687i | ||||
\(945\) | 2.02934e10 | − | 3.73752e10i | 0.782247 | − | 1.44069i | ||||
\(946\) | 2.23974e10 | − | 1.62726e10i | 0.860157 | − | 0.624941i | ||||
\(947\) | −3.04668e10 | − | 4.19340e10i | −1.16574 | − | 1.60450i | −0.687271 | − | 0.726401i | \(-0.741192\pi\) |
−0.478470 | − | 0.878104i | \(-0.658808\pi\) | |||||||
\(948\) | 5.75057e8 | − | 1.86847e8i | 0.0219221 | − | 0.00712291i | ||||
\(949\) | 1.91200e10 | 0.726199 | ||||||||
\(950\) | −1.36754e9 | + | 3.56240e9i | −0.0517495 | + | 0.134806i | ||||
\(951\) | 1.45325e10 | 0.547907 | ||||||||
\(952\) | 4.99430e10 | − | 1.62275e10i | 1.87606 | − | 0.609567i | ||||
\(953\) | −3.03246e9 | − | 4.17383e9i | −0.113493 | − | 0.156210i | 0.748491 | − | 0.663145i | \(-0.230779\pi\) |
−0.861985 | + | 0.506934i | \(0.830779\pi\) | |||||||
\(954\) | 7.04142e9 | − | 5.11589e9i | 0.262568 | − | 0.190767i | ||||
\(955\) | 1.07057e10 | − | 5.10626e9i | 0.397744 | − | 0.189710i | ||||
\(956\) | −9.10361e9 | − | 6.61416e9i | −0.336985 | − | 0.244834i | ||||
\(957\) | 4.69092e10i | 1.73008i | ||||||||
\(958\) | −1.90194e10 | + | 2.61780e10i | −0.698905 | + | 0.961961i | ||||
\(959\) | 1.53065e9 | − | 4.71084e9i | 0.0560415 | − | 0.172478i | ||||
\(960\) | −2.21367e10 | + | 2.91418e9i | −0.807538 | + | 0.106308i | ||||
\(961\) | 3.68627e9 | + | 1.13452e10i | 0.133985 | + | 0.412363i | ||||
\(962\) | 9.45306e9 | + | 3.07148e9i | 0.342341 | + | 0.111233i | ||||
\(963\) | 2.24997e9 | + | 7.31061e8i | 0.0811868 | + | 0.0263792i | ||||
\(964\) | −2.65757e9 | − | 8.17915e9i | −0.0955464 | − | 0.294062i | ||||
\(965\) | −2.10371e10 | + | 1.99632e10i | −0.753600 | + | 0.715129i | ||||
\(966\) | −7.57859e9 | + | 2.33245e10i | −0.270501 | + | 0.832516i | ||||
\(967\) | −1.91088e10 | + | 2.63011e10i | −0.679582 | + | 0.935364i | −0.999929 | − | 0.0119365i | \(-0.996200\pi\) |
0.320347 | + | 0.947300i | \(0.396200\pi\) | |||||||
\(968\) | 3.25398e10i | 1.15306i | ||||||||
\(969\) | −4.41491e9 | − | 3.20762e9i | −0.155879 | − | 0.113253i | ||||
\(970\) | 5.44004e9 | + | 4.13236e10i | 0.191382 | + | 1.45377i | ||||
\(971\) | 1.92998e10 | − | 1.40221e10i | 0.676528 | − | 0.491526i | −0.195676 | − | 0.980669i | \(-0.562690\pi\) |
0.872204 | + | 0.489142i | \(0.162690\pi\) | |||||||
\(972\) | 4.30627e9 | + | 5.92707e9i | 0.150407 | + | 0.207018i | ||||
\(973\) | 1.82380e10 | − | 5.92590e9i | 0.634722 | − | 0.206234i | ||||
\(974\) | −3.31061e10 | −1.14803 | ||||||||
\(975\) | 2.58165e10 | − | 6.91711e9i | 0.892035 | − | 0.239006i | ||||
\(976\) | 1.54042e9 | 0.0530352 | ||||||||
\(977\) | 3.89140e9 | − | 1.26439e9i | 0.133498 | − | 0.0433761i | −0.241506 | − | 0.970399i | \(-0.577641\pi\) |
0.375004 | + | 0.927023i | \(0.377641\pi\) | |||||||
\(978\) | −7.49861e9 | − | 1.03209e10i | −0.256327 | − | 0.352804i | ||||
\(979\) | −1.40568e10 | + | 1.02129e10i | −0.478792 | + | 0.347863i | ||||
\(980\) | −1.58183e10 | − | 2.93188e9i | −0.536870 | − | 0.0995072i | ||||
\(981\) | 4.18353e9 | + | 3.03951e9i | 0.141482 | + | 0.102793i | ||||
\(982\) | 8.61911e9i | 0.290451i | ||||||||
\(983\) | −7.46180e9 | + | 1.02703e10i | −0.250557 | + | 0.344862i | −0.915706 | − | 0.401848i | \(-0.868368\pi\) |
0.665149 | + | 0.746710i | \(0.268368\pi\) | |||||||
\(984\) | −1.35995e10 | + | 4.18551e10i | −0.455031 | + | 1.40044i | ||||
\(985\) | 8.02088e8 | − | 4.32750e9i | 0.0267421 | − | 0.144281i | ||||
\(986\) | −1.23354e10 | − | 3.79646e10i | −0.409812 | − | 1.26127i | ||||
\(987\) | 2.38781e10 | + | 7.75845e9i | 0.790477 | + | 0.256841i | ||||
\(988\) | −2.63676e9 | − | 8.56734e8i | −0.0869802 | − | 0.0282616i | ||||
\(989\) | 8.53091e9 | + | 2.62554e10i | 0.280420 | + | 0.863043i | ||||
\(990\) | −9.03261e9 | − | 4.90440e9i | −0.295863 | − | 0.160643i | ||||
\(991\) | 4.94292e9 | − | 1.52127e10i | 0.161334 | − | 0.496535i | −0.837414 | − | 0.546570i | \(-0.815933\pi\) |
0.998747 | + | 0.0500351i | \(0.0159333\pi\) | |||||||
\(992\) | 1.70718e10 | − | 2.34973e10i | 0.555250 | − | 0.764237i | ||||
\(993\) | − | 4.60826e10i | − | 1.49353i | ||||||
\(994\) | −9.11946e9 | − | 6.62568e9i | −0.294521 | − | 0.213982i | ||||
\(995\) | 3.29817e10 | + | 3.47559e10i | 1.06143 | + | 1.11853i | ||||
\(996\) | −6.59555e9 | + | 4.79194e9i | −0.211516 | + | 0.153675i | ||||
\(997\) | 2.68637e10 | + | 3.69747e10i | 0.858485 | + | 1.18160i | 0.981929 | + | 0.189251i | \(0.0606060\pi\) |
−0.123444 | + | 0.992352i | \(0.539394\pi\) | |||||||
\(998\) | 2.56375e10 | − | 8.33012e9i | 0.816429 | − | 0.265274i | ||||
\(999\) | 1.47052e10 | 0.466651 |
(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 | 25.8.e.a.19.6 | yes | 64 | |
25.2 | odd | 20 | 625.8.a.g.1.23 | 64 | |||
25.4 | even | 10 | inner | 25.8.e.a.4.6 | ✓ | 64 | |
25.23 | odd | 20 | 625.8.a.g.1.42 | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
25.8.e.a.4.6 | ✓ | 64 | 25.4 | even | 10 | inner | |
25.8.e.a.19.6 | yes | 64 | 1.1 | even | 1 | trivial | |
625.8.a.g.1.23 | 64 | 25.2 | odd | 20 | |||
625.8.a.g.1.42 | 64 | 25.23 | odd | 20 |