Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [29,6,Mod(7,29)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(29, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([6]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("29.7");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 29 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 29.d (of order \(7\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.65113077458\) |
Analytic rank: | \(0\) |
Dimension: | \(66\) |
Relative dimension: | \(11\) over \(\Q(\zeta_{7})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{7}]$ |
Embedding invariants
Embedding label | 20.4 | ||
Character | \(\chi\) | \(=\) | 29.20 |
Dual form | 29.6.d.a.16.4 |
$q$-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 \(\left(\mathbb{Z}/29\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{6}{7}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −3.39646 | + | 1.63565i | −0.600415 | + | 0.289145i | −0.709297 | − | 0.704910i | \(-0.750987\pi\) |
0.108882 | + | 0.994055i | \(0.465273\pi\) | |||||||
\(3\) | −13.4299 | − | 16.8406i | −0.861528 | − | 1.08032i | −0.995995 | − | 0.0894039i | \(-0.971504\pi\) |
0.134467 | − | 0.990918i | \(-0.457068\pi\) | |||||||
\(4\) | −11.0911 | + | 13.9078i | −0.346596 | + | 0.434618i | ||||
\(5\) | 21.4922 | − | 10.3501i | 0.384465 | − | 0.185149i | −0.231660 | − | 0.972797i | \(-0.574416\pi\) |
0.616125 | + | 0.787648i | \(0.288702\pi\) | |||||||
\(6\) | 73.1594 | + | 35.2317i | 0.829644 | + | 0.399535i | ||||
\(7\) | 143.536 | + | 179.989i | 1.10718 | + | 1.38835i | 0.913280 | + | 0.407332i | \(0.133541\pi\) |
0.193896 | + | 0.981022i | \(0.437888\pi\) | |||||||
\(8\) | 41.7656 | − | 182.987i | 0.230724 | − | 1.01087i | ||||
\(9\) | −49.1696 | + | 215.426i | −0.202344 | + | 0.886527i | ||||
\(10\) | −56.0684 | + | 70.3076i | −0.177304 | + | 0.222332i | ||||
\(11\) | 58.8265 | + | 257.736i | 0.146586 | + | 0.642234i | 0.993819 | + | 0.111013i | \(0.0354095\pi\) |
−0.847233 | + | 0.531221i | \(0.821733\pi\) | |||||||
\(12\) | 383.166 | 0.768129 | ||||||||
\(13\) | 120.266 | + | 526.918i | 0.197371 | + | 0.864738i | 0.972494 | + | 0.232928i | \(0.0748306\pi\) |
−0.775123 | + | 0.631810i | \(0.782312\pi\) | |||||||
\(14\) | −781.914 | − | 376.550i | −1.06620 | − | 0.513455i | ||||
\(15\) | −462.940 | − | 222.940i | −0.531247 | − | 0.255835i | ||||
\(16\) | 30.7800 | + | 134.856i | 0.0300586 | + | 0.131695i | ||||
\(17\) | 517.199 | 0.434046 | 0.217023 | − | 0.976167i | \(-0.430365\pi\) | ||||
0.217023 | + | 0.976167i | \(0.430365\pi\) | |||||||
\(18\) | −185.359 | − | 812.111i | −0.134844 | − | 0.590791i | ||||
\(19\) | 248.459 | − | 311.558i | 0.157896 | − | 0.197995i | −0.696590 | − | 0.717469i | \(-0.745301\pi\) |
0.854486 | + | 0.519474i | \(0.173872\pi\) | |||||||
\(20\) | −94.4250 | + | 413.703i | −0.0527852 | + | 0.231267i | ||||
\(21\) | 1103.43 | − | 4834.46i | 0.546007 | − | 2.39221i | ||||
\(22\) | −621.368 | − | 779.171i | −0.273711 | − | 0.343223i | ||||
\(23\) | 1329.34 | + | 640.177i | 0.523983 | + | 0.252337i | 0.677126 | − | 0.735867i | \(-0.263225\pi\) |
−0.153143 | + | 0.988204i | \(0.548940\pi\) | |||||||
\(24\) | −3642.51 | + | 1754.14i | −1.29084 | + | 0.621636i | ||||
\(25\) | −1593.61 | + | 1998.33i | −0.509957 | + | 0.639465i | ||||
\(26\) | −1270.33 | − | 1592.94i | −0.368539 | − | 0.462133i | ||||
\(27\) | −427.604 | + | 205.923i | −0.112884 | + | 0.0543621i | ||||
\(28\) | −4095.21 | −0.987146 | ||||||||
\(29\) | −498.509 | + | 4501.40i | −0.110072 | + | 0.993924i | ||||
\(30\) | 1937.01 | 0.392942 | ||||||||
\(31\) | 6371.32 | − | 3068.27i | 1.19076 | − | 0.573441i | 0.269734 | − | 0.962935i | \(-0.413064\pi\) |
0.921029 | + | 0.389493i | \(0.127350\pi\) | |||||||
\(32\) | 3419.67 | + | 4288.13i | 0.590349 | + | 0.740274i | ||||
\(33\) | 3550.38 | − | 4452.04i | 0.567532 | − | 0.711662i | ||||
\(34\) | −1756.65 | + | 845.956i | −0.260608 | + | 0.125502i | ||||
\(35\) | 4947.82 | + | 2382.75i | 0.682722 | + | 0.328782i | ||||
\(36\) | −2450.75 | − | 3073.15i | −0.315169 | − | 0.395209i | ||||
\(37\) | −3056.48 | + | 13391.3i | −0.367043 | + | 1.60812i | 0.367814 | + | 0.929899i | \(0.380106\pi\) |
−0.734857 | + | 0.678222i | \(0.762751\pi\) | |||||||
\(38\) | −334.282 | + | 1464.59i | −0.0375539 | + | 0.164534i | ||||
\(39\) | 7258.43 | − | 9101.79i | 0.764155 | − | 0.958220i | ||||
\(40\) | −996.301 | − | 4365.08i | −0.0984556 | − | 0.431362i | ||||
\(41\) | 12761.2 | 1.18558 | 0.592789 | − | 0.805358i | \(-0.298027\pi\) | ||||
0.592789 | + | 0.805358i | \(0.298027\pi\) | |||||||
\(42\) | 4159.71 | + | 18224.9i | 0.363865 | + | 1.59420i | ||||
\(43\) | −15326.4 | − | 7380.80i | −1.26406 | − | 0.608741i | −0.322817 | − | 0.946462i | \(-0.604630\pi\) |
−0.941246 | + | 0.337721i | \(0.890344\pi\) | |||||||
\(44\) | −4236.98 | − | 2040.42i | −0.329932 | − | 0.158887i | ||||
\(45\) | 1172.92 | + | 5138.90i | 0.0863450 | + | 0.378302i | ||||
\(46\) | −5562.16 | −0.387569 | ||||||||
\(47\) | −4815.06 | − | 21096.2i | −0.317949 | − | 1.39302i | −0.841144 | − | 0.540811i | \(-0.818117\pi\) |
0.523195 | − | 0.852213i | \(-0.324740\pi\) | |||||||
\(48\) | 1857.68 | − | 2329.45i | 0.116377 | − | 0.145932i | ||||
\(49\) | −8053.39 | + | 35284.2i | −0.479169 | + | 2.09938i | ||||
\(50\) | 2144.08 | − | 9393.84i | 0.121288 | − | 0.531396i | ||||
\(51\) | −6945.93 | − | 8709.92i | −0.373942 | − | 0.468909i | ||||
\(52\) | −8662.12 | − | 4171.46i | −0.444238 | − | 0.213934i | ||||
\(53\) | 510.752 | − | 245.965i | 0.0249759 | − | 0.0120277i | −0.421354 | − | 0.906896i | \(-0.638445\pi\) |
0.446330 | + | 0.894868i | \(0.352731\pi\) | |||||||
\(54\) | 1115.52 | − | 1398.82i | 0.0520588 | − | 0.0652797i | ||||
\(55\) | 3931.91 | + | 4930.46i | 0.175266 | + | 0.219776i | ||||
\(56\) | 38930.5 | − | 18747.9i | 1.65890 | − | 0.798883i | ||||
\(57\) | −8583.59 | −0.349930 | ||||||||
\(58\) | −5669.55 | − | 16104.2i | −0.221299 | − | 0.628594i | ||||
\(59\) | 24444.5 | 0.914219 | 0.457110 | − | 0.889410i | \(-0.348885\pi\) | ||||
0.457110 | + | 0.889410i | \(0.348885\pi\) | |||||||
\(60\) | 8235.10 | − | 3965.82i | 0.295319 | − | 0.142218i | ||||
\(61\) | −10486.0 | − | 13149.1i | −0.360817 | − | 0.452450i | 0.567978 | − | 0.823044i | \(-0.307726\pi\) |
−0.928795 | + | 0.370593i | \(0.879154\pi\) | |||||||
\(62\) | −16621.3 | + | 20842.5i | −0.549145 | + | 0.688606i | ||||
\(63\) | −45831.9 | + | 22071.5i | −1.45484 | + | 0.700616i | ||||
\(64\) | −22616.7 | − | 10891.6i | −0.690206 | − | 0.332385i | ||||
\(65\) | 8038.44 | + | 10079.9i | 0.235987 | + | 0.295918i | ||||
\(66\) | −4776.76 | + | 20928.4i | −0.134981 | + | 0.591392i | ||||
\(67\) | 10817.3 | − | 47393.5i | 0.294395 | − | 1.28983i | −0.583946 | − | 0.811793i | \(-0.698492\pi\) |
0.878340 | − | 0.478036i | \(-0.158651\pi\) | |||||||
\(68\) | −5736.29 | + | 7193.08i | −0.150438 | + | 0.188644i | ||||
\(69\) | −7071.98 | − | 30984.4i | −0.178821 | − | 0.783465i | ||||
\(70\) | −20702.4 | −0.504982 | ||||||||
\(71\) | −4971.77 | − | 21782.7i | −0.117048 | − | 0.512822i | −0.999129 | − | 0.0417239i | \(-0.986715\pi\) |
0.882081 | − | 0.471098i | \(-0.156142\pi\) | |||||||
\(72\) | 37366.6 | + | 17994.8i | 0.849478 | + | 0.409087i | ||||
\(73\) | 26519.5 | + | 12771.1i | 0.582449 | + | 0.280492i | 0.701817 | − | 0.712358i | \(-0.252373\pi\) |
−0.119368 | + | 0.992850i | \(0.538087\pi\) | |||||||
\(74\) | −11522.3 | − | 50482.4i | −0.244601 | − | 1.07167i | ||||
\(75\) | 55055.0 | 1.13017 | ||||||||
\(76\) | 1577.40 | + | 6911.02i | 0.0313261 | + | 0.137249i | ||||
\(77\) | −37945.8 | + | 47582.6i | −0.729352 | + | 0.914579i | ||||
\(78\) | −9765.66 | + | 42786.1i | −0.181746 | + | 0.796281i | ||||
\(79\) | −3907.17 | + | 17118.4i | −0.0704359 | + | 0.308600i | −0.997858 | − | 0.0654164i | \(-0.979162\pi\) |
0.927422 | + | 0.374016i | \(0.122020\pi\) | |||||||
\(80\) | 2057.30 | + | 2579.78i | 0.0359396 | + | 0.0450669i | ||||
\(81\) | 57587.9 | + | 27732.9i | 0.975256 | + | 0.469658i | ||||
\(82\) | −43342.8 | + | 20872.8i | −0.711840 | + | 0.342804i | ||||
\(83\) | −28334.8 | + | 35530.8i | −0.451466 | + | 0.566121i | −0.954525 | − | 0.298131i | \(-0.903637\pi\) |
0.503058 | + | 0.864252i | \(0.332208\pi\) | |||||||
\(84\) | 54998.3 | + | 68965.6i | 0.850454 | + | 1.06644i | ||||
\(85\) | 11115.8 | − | 5353.07i | 0.166875 | − | 0.0803629i | ||||
\(86\) | 64127.9 | 0.934977 | ||||||||
\(87\) | 82501.1 | − | 52058.2i | 1.16859 | − | 0.737379i | ||||
\(88\) | 49619.2 | 0.683036 | ||||||||
\(89\) | 67440.1 | − | 32477.4i | 0.902492 | − | 0.434617i | 0.0757034 | − | 0.997130i | \(-0.475880\pi\) |
0.826788 | + | 0.562513i | \(0.190166\pi\) | |||||||
\(90\) | −12389.2 | − | 15535.6i | −0.161227 | − | 0.202172i | ||||
\(91\) | −77576.8 | + | 97278.3i | −0.982039 | + | 1.23144i | ||||
\(92\) | −23647.3 | + | 11387.9i | −0.291280 | + | 0.140273i | ||||
\(93\) | −137238. | − | 66090.1i | −1.64538 | − | 0.792372i | ||||
\(94\) | 50860.1 | + | 63776.5i | 0.593687 | + | 0.744460i | ||||
\(95\) | 2115.28 | − | 9267.66i | 0.0240469 | − | 0.105356i | ||||
\(96\) | 26288.7 | − | 115178.i | 0.291132 | − | 1.27553i | ||||
\(97\) | −107572. | + | 134891.i | −1.16083 | + | 1.45564i | −0.294862 | + | 0.955540i | \(0.595274\pi\) |
−0.865969 | + | 0.500097i | \(0.833298\pi\) | |||||||
\(98\) | −30359.6 | − | 133014.i | −0.319323 | − | 1.39905i | ||||
\(99\) | −58415.5 | −0.599019 | ||||||||
\(100\) | −10117.4 | − | 44327.2i | −0.101174 | − | 0.443272i | ||||
\(101\) | −169298. | − | 81529.8i | −1.65139 | − | 0.795267i | −0.999311 | − | 0.0371143i | \(-0.988183\pi\) |
−0.652077 | − | 0.758152i | \(-0.726102\pi\) | |||||||
\(102\) | 37838.0 | + | 18221.8i | 0.360103 | + | 0.173417i | ||||
\(103\) | −2113.68 | − | 9260.63i | −0.0196312 | − | 0.0860097i | 0.964163 | − | 0.265309i | \(-0.0854740\pi\) |
−0.983795 | + | 0.179299i | \(0.942617\pi\) | |||||||
\(104\) | 101442. | 0.919676 | ||||||||
\(105\) | −26322.0 | − | 115324.i | −0.232994 | − | 1.02081i | ||||
\(106\) | −1332.44 | + | 1670.82i | −0.0115181 | + | 0.0144433i | ||||
\(107\) | −22198.4 | + | 97257.7i | −0.187440 | + | 0.821230i | 0.790520 | + | 0.612437i | \(0.209811\pi\) |
−0.977960 | + | 0.208793i | \(0.933047\pi\) | |||||||
\(108\) | 1878.66 | − | 8230.93i | 0.0154984 | − | 0.0679031i | ||||
\(109\) | −93380.9 | − | 117096.i | −0.752821 | − | 0.944008i | 0.246865 | − | 0.969050i | \(-0.420600\pi\) |
−0.999686 | + | 0.0250418i | \(0.992028\pi\) | |||||||
\(110\) | −21419.1 | − | 10314.9i | −0.168779 | − | 0.0812799i | ||||
\(111\) | 266565. | − | 128371.i | 2.05351 | − | 0.988916i | ||||
\(112\) | −19854.5 | + | 24896.8i | −0.149559 | + | 0.187542i | ||||
\(113\) | 92832.8 | + | 116409.i | 0.683920 | + | 0.857608i | 0.995709 | − | 0.0925430i | \(-0.0294995\pi\) |
−0.311789 | + | 0.950151i | \(0.600928\pi\) | |||||||
\(114\) | 29153.8 | − | 14039.7i | 0.210104 | − | 0.101181i | ||||
\(115\) | 35196.4 | 0.248173 | ||||||||
\(116\) | −57075.5 | − | 56858.5i | −0.393826 | − | 0.392329i | ||||
\(117\) | −119425. | −0.806551 | ||||||||
\(118\) | −83024.7 | + | 39982.6i | −0.548911 | + | 0.264342i | ||||
\(119\) | 74236.8 | + | 93090.0i | 0.480565 | + | 0.602609i | ||||
\(120\) | −60130.1 | + | 75400.8i | −0.381188 | + | 0.477994i | ||||
\(121\) | 82134.7 | − | 39554.0i | 0.509992 | − | 0.245599i | ||||
\(122\) | 57122.7 | + | 27508.9i | 0.347464 | + | 0.167330i | ||||
\(123\) | −171381. | − | 214905.i | −1.02141 | − | 1.28081i | ||||
\(124\) | −27992.1 | + | 122641.i | −0.163486 | + | 0.716279i | ||||
\(125\) | −30155.4 | + | 132119.i | −0.172619 | + | 0.756295i | ||||
\(126\) | 119565. | − | 149930.i | 0.670931 | − | 0.841321i | ||||
\(127\) | −17114.4 | − | 74983.0i | −0.0941568 | − | 0.412528i | 0.905780 | − | 0.423748i | \(-0.139286\pi\) |
−0.999937 | + | 0.0112197i | \(0.996429\pi\) | |||||||
\(128\) | −80879.5 | −0.436329 | ||||||||
\(129\) | 81535.0 | + | 357228.i | 0.431390 | + | 1.89004i | ||||
\(130\) | −43789.4 | − | 21087.9i | −0.227254 | − | 0.109440i | ||||
\(131\) | 132312. | + | 63718.1i | 0.673629 | + | 0.324403i | 0.739239 | − | 0.673443i | \(-0.235185\pi\) |
−0.0656104 | + | 0.997845i | \(0.520899\pi\) | |||||||
\(132\) | 22540.4 | + | 98755.7i | 0.112597 | + | 0.493319i | ||||
\(133\) | 91739.8 | 0.449706 | ||||||||
\(134\) | 40778.8 | + | 178664.i | 0.196188 | + | 0.859555i | ||||
\(135\) | −7058.85 | + | 8851.51i | −0.0333349 | + | 0.0418007i | ||||
\(136\) | 21601.1 | − | 94640.7i | 0.100145 | − | 0.438764i | ||||
\(137\) | 84548.9 | − | 370433.i | 0.384863 | − | 1.68620i | −0.297129 | − | 0.954837i | \(-0.596029\pi\) |
0.681992 | − | 0.731359i | \(-0.261114\pi\) | |||||||
\(138\) | 74699.3 | + | 93669.9i | 0.333902 | + | 0.418699i | ||||
\(139\) | −42668.6 | − | 20548.1i | −0.187314 | − | 0.0902059i | 0.337876 | − | 0.941191i | \(-0.390292\pi\) |
−0.525190 | + | 0.850985i | \(0.676006\pi\) | |||||||
\(140\) | −88015.3 | + | 42385.9i | −0.379523 | + | 0.182769i | ||||
\(141\) | −290605. | + | 364407.i | −1.23099 | + | 1.54362i | ||||
\(142\) | 52515.3 | + | 65852.2i | 0.218557 | + | 0.274062i | ||||
\(143\) | −128731. | + | 61993.5i | −0.526432 | + | 0.253516i | ||||
\(144\) | −30564.9 | −0.122834 | ||||||||
\(145\) | 35876.0 | + | 101905.i | 0.141705 | + | 0.402508i | ||||
\(146\) | −110961. | −0.430814 | ||||||||
\(147\) | 702362. | − | 338240.i | 2.68082 | − | 1.29101i | ||||
\(148\) | −152344. | − | 191033.i | −0.571702 | − | 0.716892i | ||||
\(149\) | 114698. | − | 143827.i | 0.423245 | − | 0.530732i | −0.523797 | − | 0.851843i | \(-0.675485\pi\) |
0.947042 | + | 0.321111i | \(0.104056\pi\) | |||||||
\(150\) | −186992. | + | 90050.7i | −0.678571 | + | 0.326783i | ||||
\(151\) | 146410. | + | 70507.5i | 0.522552 | + | 0.251648i | 0.676515 | − | 0.736429i | \(-0.263489\pi\) |
−0.153963 | + | 0.988077i | \(0.549204\pi\) | |||||||
\(152\) | −46634.0 | − | 58477.2i | −0.163717 | − | 0.205295i | ||||
\(153\) | −25430.5 | + | 111418.i | −0.0878266 | + | 0.384793i | ||||
\(154\) | 51053.2 | − | 223678.i | 0.173469 | − | 0.760015i | ||||
\(155\) | 105177. | − | 131888.i | 0.351635 | − | 0.440936i | ||||
\(156\) | 46081.7 | + | 201897.i | 0.151606 | + | 0.664230i | ||||
\(157\) | 208213. | 0.674153 | 0.337076 | − | 0.941477i | \(-0.390562\pi\) | ||||
0.337076 | + | 0.941477i | \(0.390562\pi\) | |||||||
\(158\) | −14729.2 | − | 64532.8i | −0.0469392 | − | 0.205654i | ||||
\(159\) | −11001.5 | − | 5298.06i | −0.0345112 | − | 0.0166197i | ||||
\(160\) | 117879. | + | 56767.5i | 0.364029 | + | 0.175307i | ||||
\(161\) | 75584.0 | + | 331155.i | 0.229808 | + | 1.00685i | ||||
\(162\) | −240956. | −0.721358 | ||||||||
\(163\) | −20705.2 | − | 90715.6i | −0.0610396 | − | 0.267432i | 0.935195 | − | 0.354134i | \(-0.115224\pi\) |
−0.996234 | + | 0.0867021i | \(0.972367\pi\) | |||||||
\(164\) | −141535. | + | 177479.i | −0.410917 | + | 0.515273i | ||||
\(165\) | 30226.5 | − | 132431.i | 0.0864328 | − | 0.378687i | ||||
\(166\) | 38122.3 | − | 167025.i | 0.107376 | − | 0.470447i | ||||
\(167\) | −198195. | − | 248529.i | −0.549922 | − | 0.689581i | 0.426737 | − | 0.904376i | \(-0.359663\pi\) |
−0.976659 | + | 0.214795i | \(0.931092\pi\) | |||||||
\(168\) | −838558. | − | 403828.i | −2.29224 | − | 1.10388i | ||||
\(169\) | 71344.8 | − | 34357.9i | 0.192152 | − | 0.0925357i | ||||
\(170\) | −28998.5 | + | 36363.0i | −0.0769580 | + | 0.0965023i | ||||
\(171\) | 54901.1 | + | 68843.8i | 0.143579 | + | 0.180042i | ||||
\(172\) | 272636. | − | 131295.i | 0.702688 | − | 0.338397i | ||||
\(173\) | −325635. | −0.827210 | −0.413605 | − | 0.910456i | \(-0.635731\pi\) | ||||
−0.413605 | + | 0.910456i | \(0.635731\pi\) | |||||||
\(174\) | −195063. | + | 311757.i | −0.488429 | + | 0.780625i | ||||
\(175\) | −588418. | −1.45242 | ||||||||
\(176\) | −32946.5 | + | 15866.2i | −0.0801729 | + | 0.0386093i | ||||
\(177\) | −328286. | − | 411658.i | −0.787625 | − | 0.987651i | ||||
\(178\) | −175936. | + | 220617.i | −0.416202 | + | 0.521901i | ||||
\(179\) | 459172. | − | 221125.i | 1.07113 | − | 0.515829i | 0.186660 | − | 0.982425i | \(-0.440234\pi\) |
0.884471 | + | 0.466595i | \(0.154519\pi\) | |||||||
\(180\) | −84479.6 | − | 40683.2i | −0.194344 | − | 0.0935910i | ||||
\(181\) | 376472. | + | 472081.i | 0.854155 | + | 1.07108i | 0.996691 | + | 0.0812865i | \(0.0259029\pi\) |
−0.142536 | + | 0.989790i | \(0.545526\pi\) | |||||||
\(182\) | 104374. | − | 457290.i | 0.233567 | − | 1.02333i | ||||
\(183\) | −80611.4 | + | 353182.i | −0.177938 | + | 0.779597i | ||||
\(184\) | 172665. | − | 216515.i | 0.375975 | − | 0.471458i | ||||
\(185\) | 72911.0 | + | 319444.i | 0.156626 | + | 0.686224i | ||||
\(186\) | 574222. | 1.21702 | ||||||||
\(187\) | 30425.0 | + | 133301.i | 0.0636249 | + | 0.278759i | ||||
\(188\) | 346805. | + | 167012.i | 0.715633 | + | 0.344630i | ||||
\(189\) | −98440.6 | − | 47406.5i | −0.200456 | − | 0.0965347i | ||||
\(190\) | 7974.17 | + | 34937.1i | 0.0160251 | + | 0.0702107i | ||||
\(191\) | 429708. | 0.852296 | 0.426148 | − | 0.904653i | \(-0.359870\pi\) | ||||
0.426148 | + | 0.904653i | \(0.359870\pi\) | |||||||
\(192\) | 120319. | + | 527150.i | 0.235548 | + | 1.03200i | ||||
\(193\) | 50882.2 | − | 63804.3i | 0.0983270 | − | 0.123298i | −0.730234 | − | 0.683198i | \(-0.760589\pi\) |
0.828561 | + | 0.559899i | \(0.189160\pi\) | |||||||
\(194\) | 144729. | − | 634101.i | 0.276091 | − | 1.20963i | ||||
\(195\) | 61795.4 | − | 270743.i | 0.116378 | − | 0.509884i | ||||
\(196\) | −401404. | − | 503345.i | −0.746348 | − | 0.935891i | ||||
\(197\) | −632082. | − | 304395.i | −1.16040 | − | 0.558819i | −0.248258 | − | 0.968694i | \(-0.579858\pi\) |
−0.912142 | + | 0.409875i | \(0.865572\pi\) | |||||||
\(198\) | 198406. | − | 95547.3i | 0.359660 | − | 0.173203i | ||||
\(199\) | 389672. | − | 488634.i | 0.697537 | − | 0.874683i | −0.299300 | − | 0.954159i | \(-0.596753\pi\) |
0.996837 | + | 0.0794759i | \(0.0253247\pi\) | |||||||
\(200\) | 299110. | + | 375072.i | 0.528757 | + | 0.663040i | ||||
\(201\) | −943408. | + | 454321.i | −1.64706 | + | 0.793182i | ||||
\(202\) | 708369. | 1.22147 | ||||||||
\(203\) | −881756. | + | 556389.i | −1.50179 | + | 0.947629i | ||||
\(204\) | 198173. | 0.333403 | ||||||||
\(205\) | 274266. | − | 132079.i | 0.455813 | − | 0.219508i | ||||
\(206\) | 22326.2 | + | 27996.1i | 0.0366561 | + | 0.0459653i | ||||
\(207\) | −203274. | + | 254898.i | −0.329728 | + | 0.413466i | ||||
\(208\) | −67356.2 | + | 32437.0i | −0.107949 | + | 0.0519856i | ||||
\(209\) | 94915.7 | + | 45709.0i | 0.150305 | + | 0.0723829i | ||||
\(210\) | 278031. | + | 348640.i | 0.435056 | + | 0.545543i | ||||
\(211\) | −10107.3 | + | 44283.0i | −0.0156289 | + | 0.0684748i | −0.982141 | − | 0.188146i | \(-0.939752\pi\) |
0.966512 | + | 0.256621i | \(0.0826092\pi\) | |||||||
\(212\) | −2243.96 | + | 9831.44i | −0.00342907 | + | 0.0150237i | ||||
\(213\) | −300063. | + | 376267.i | −0.453172 | + | 0.568260i | ||||
\(214\) | −83683.4 | − | 366641.i | −0.124912 | − | 0.547276i | ||||
\(215\) | −405791. | −0.598695 | ||||||||
\(216\) | 19822.2 | + | 86846.6i | 0.0289079 | + | 0.126654i | ||||
\(217\) | 1.46677e6 | + | 706359.i | 2.11452 | + | 1.01830i | ||||
\(218\) | 508693. | + | 244973.i | 0.724960 | + | 0.349123i | ||||
\(219\) | −141081. | − | 618117.i | −0.198774 | − | 0.870884i | ||||
\(220\) | −112181. | −0.156265 | ||||||||
\(221\) | 62201.2 | + | 272521.i | 0.0856679 | + | 0.375336i | ||||
\(222\) | −695408. | + | 872015.i | −0.947016 | + | 1.18752i | ||||
\(223\) | −6099.27 | + | 26722.6i | −0.00821326 | + | 0.0359846i | −0.978869 | − | 0.204491i | \(-0.934446\pi\) |
0.970655 | + | 0.240475i | \(0.0773033\pi\) | |||||||
\(224\) | −280968. | + | 1.23100e6i | −0.374143 | + | 1.63923i | ||||
\(225\) | −352135. | − | 441563.i | −0.463717 | − | 0.581482i | ||||
\(226\) | −505707. | − | 243536.i | −0.658609 | − | 0.317169i | ||||
\(227\) | 923273. | − | 444625.i | 1.18923 | − | 0.572702i | 0.268642 | − | 0.963240i | \(-0.413425\pi\) |
0.920587 | + | 0.390538i | \(0.127711\pi\) | |||||||
\(228\) | 95201.2 | − | 119379.i | 0.121284 | − | 0.152086i | ||||
\(229\) | −292922. | − | 367312.i | −0.369116 | − | 0.462857i | 0.562236 | − | 0.826977i | \(-0.309941\pi\) |
−0.931352 | + | 0.364120i | \(0.881370\pi\) | |||||||
\(230\) | −119543. | + | 57569.1i | −0.149007 | + | 0.0717579i | ||||
\(231\) | 1.31093e6 | 1.61640 | ||||||||
\(232\) | 802878. | + | 279225.i | 0.979331 | + | 0.340591i | ||||
\(233\) | −1.13204e6 | −1.36606 | −0.683031 | − | 0.730389i | \(-0.739339\pi\) | ||||
−0.683031 | + | 0.730389i | \(0.739339\pi\) | |||||||
\(234\) | 405623. | − | 195338.i | 0.484265 | − | 0.233210i | ||||
\(235\) | −321834. | − | 403567.i | −0.380157 | − | 0.476701i | ||||
\(236\) | −271115. | + | 339968.i | −0.316865 | + | 0.397336i | ||||
\(237\) | 340756. | − | 164100.i | 0.394070 | − | 0.189774i | ||||
\(238\) | −404405. | − | 194751.i | −0.462780 | − | 0.222863i | ||||
\(239\) | −864680. | − | 1.08427e6i | −0.979176 | − | 1.22785i | −0.973693 | − | 0.227863i | \(-0.926826\pi\) |
−0.00548252 | − | 0.999985i | \(-0.501745\pi\) | |||||||
\(240\) | 15815.5 | − | 69292.3i | 0.0177237 | − | 0.0776527i | ||||
\(241\) | 14045.8 | − | 61538.5i | 0.0155777 | − | 0.0682503i | −0.966542 | − | 0.256510i | \(-0.917427\pi\) |
0.982119 | + | 0.188259i | \(0.0602846\pi\) | |||||||
\(242\) | −214271. | + | 268687.i | −0.235193 | + | 0.294923i | ||||
\(243\) | −280699. | − | 1.22982e6i | −0.304948 | − | 1.33606i | ||||
\(244\) | 299176. | 0.321701 | ||||||||
\(245\) | 192110. | + | 841691.i | 0.204473 | + | 0.895854i | ||||
\(246\) | 933598. | + | 449597.i | 0.983608 | + | 0.473681i | ||||
\(247\) | 194047. | + | 93447.9i | 0.202378 | + | 0.0974601i | ||||
\(248\) | −295351. | − | 1.29402e6i | −0.304936 | − | 1.33601i | ||||
\(249\) | 978891. | 1.00054 | ||||||||
\(250\) | −113679. | − | 498062.i | −0.115035 | − | 0.504003i | ||||
\(251\) | −125163. | + | 156949.i | −0.125398 | + | 0.157244i | −0.840567 | − | 0.541707i | \(-0.817778\pi\) |
0.715169 | + | 0.698951i | \(0.246350\pi\) | |||||||
\(252\) | 201360. | − | 882216.i | 0.199743 | − | 0.875132i | ||||
\(253\) | −86796.1 | + | 380279.i | −0.0852509 | + | 0.373508i | ||||
\(254\) | 180774. | + | 226684.i | 0.175814 | + | 0.220463i | ||||
\(255\) | −239432. | − | 115304.i | −0.230586 | − | 0.111044i | ||||
\(256\) | 998437. | − | 480822.i | 0.952184 | − | 0.458548i | ||||
\(257\) | −716139. | + | 898010.i | −0.676340 | + | 0.848103i | −0.995011 | − | 0.0997622i | \(-0.968192\pi\) |
0.318672 | + | 0.947865i | \(0.396763\pi\) | |||||||
\(258\) | −861231. | − | 1.07995e6i | −0.805509 | − | 1.01008i | ||||
\(259\) | −2.84900e6 | + | 1.37201e6i | −2.63902 | + | 1.27089i | ||||
\(260\) | −229344. | −0.210404 | ||||||||
\(261\) | −945208. | − | 328724.i | −0.858868 | − | 0.298697i | ||||
\(262\) | −553613. | −0.498257 | ||||||||
\(263\) | 3606.17 | − | 1736.64i | 0.00321482 | − | 0.00154817i | −0.432276 | − | 0.901742i | \(-0.642289\pi\) |
0.435490 | + | 0.900193i | \(0.356575\pi\) | |||||||
\(264\) | −666381. | − | 835616.i | −0.588454 | − | 0.737899i | ||||
\(265\) | 8431.44 | − | 10572.7i | 0.00737543 | − | 0.00924849i | ||||
\(266\) | −311591. | + | 150054.i | −0.270010 | + | 0.130030i | ||||
\(267\) | −1.45265e6 | − | 699560.i | −1.24705 | − | 0.600547i | ||||
\(268\) | 539163. | + | 676089.i | 0.458546 | + | 0.574999i | ||||
\(269\) | 404375. | − | 1.77168e6i | 0.340724 | − | 1.49281i | −0.456825 | − | 0.889557i | \(-0.651013\pi\) |
0.797549 | − | 0.603254i | \(-0.206129\pi\) | |||||||
\(270\) | 9497.13 | − | 41609.6i | 0.00792835 | − | 0.0347364i | ||||
\(271\) | 91020.0 | − | 114135.i | 0.0752859 | − | 0.0944055i | −0.742762 | − | 0.669555i | \(-0.766485\pi\) |
0.818048 | + | 0.575150i | \(0.195056\pi\) | |||||||
\(272\) | 15919.4 | + | 69747.3i | 0.0130468 | + | 0.0571617i | ||||
\(273\) | 2.68007e6 | 2.17640 | ||||||||
\(274\) | 318732. | + | 1.39645e6i | 0.256477 | + | 1.12370i | ||||
\(275\) | −608788. | − | 293177.i | −0.485439 | − | 0.233775i | ||||
\(276\) | 509359. | + | 245294.i | 0.402486 | + | 0.193827i | ||||
\(277\) | 372941. | + | 1.63396e6i | 0.292039 | + | 1.27951i | 0.881682 | + | 0.471843i | \(0.156411\pi\) |
−0.589643 | + | 0.807664i | \(0.700732\pi\) | |||||||
\(278\) | 178532. | 0.138549 | ||||||||
\(279\) | 347710. | + | 1.52342e6i | 0.267428 | + | 1.17168i | ||||
\(280\) | 642660. | − | 805870.i | 0.489876 | − | 0.614285i | ||||
\(281\) | 209425. | − | 917550.i | 0.158220 | − | 0.693208i | −0.832125 | − | 0.554588i | \(-0.812876\pi\) |
0.990346 | − | 0.138621i | \(-0.0442668\pi\) | |||||||
\(282\) | 390987. | − | 1.71302e6i | 0.292778 | − | 1.28275i | ||||
\(283\) | 789022. | + | 989402.i | 0.585629 | + | 0.734356i | 0.983062 | − | 0.183276i | \(-0.0586701\pi\) |
−0.397432 | + | 0.917631i | \(0.630099\pi\) | |||||||
\(284\) | 358091. | + | 172448.i | 0.263450 | + | 0.126871i | ||||
\(285\) | −184481. | + | 88841.2i | −0.134536 | + | 0.0647891i | ||||
\(286\) | 335830. | − | 421117.i | 0.242775 | − | 0.304430i | ||||
\(287\) | 1.83169e6 | + | 2.29687e6i | 1.31264 | + | 1.64600i | ||||
\(288\) | −1.09192e6 | + | 525840.i | −0.775727 | + | 0.373570i | ||||
\(289\) | −1.15236e6 | −0.811604 | ||||||||
\(290\) | −288532. | − | 287436.i | −0.201465 | − | 0.200699i | ||||
\(291\) | 3.71631e6 | 2.57265 | ||||||||
\(292\) | −471747. | + | 227181.i | −0.323781 | + | 0.155925i | ||||
\(293\) | −630851. | − | 791062.i | −0.429297 | − | 0.538321i | 0.519391 | − | 0.854537i | \(-0.326159\pi\) |
−0.948687 | + | 0.316216i | \(0.897588\pi\) | |||||||
\(294\) | −1.83230e6 | + | 2.29764e6i | −1.23632 | + | 1.55029i | ||||
\(295\) | 525366. | − | 253003.i | 0.351485 | − | 0.169266i | ||||
\(296\) | 2.32278e6 | + | 1.11859e6i | 1.54092 | + | 0.742066i | ||||
\(297\) | −78228.4 | − | 98095.3i | −0.0514604 | − | 0.0645293i | ||||
\(298\) | −154318. | + | 676110.i | −0.100664 | + | 0.441039i | ||||
\(299\) | −177447. | + | 777445.i | −0.114786 | + | 0.502912i | ||||
\(300\) | −610619. | + | 765692.i | −0.391712 | + | 0.491192i | ||||
\(301\) | −871431. | − | 3.81799e6i | −0.554392 | − | 2.42895i | ||||
\(302\) | −612602. | −0.386511 | ||||||||
\(303\) | 900652. | + | 3.94601e6i | 0.563573 | + | 2.46918i | ||||
\(304\) | 49663.0 | + | 23916.4i | 0.0308211 | + | 0.0148427i | ||||
\(305\) | −361463. | − | 174071.i | −0.222492 | − | 0.107147i | ||||
\(306\) | −95867.5 | − | 420023.i | −0.0585286 | − | 0.256430i | ||||
\(307\) | 605807. | 0.366850 | 0.183425 | − | 0.983034i | \(-0.441282\pi\) | ||||
0.183425 | + | 0.983034i | \(0.441282\pi\) | |||||||
\(308\) | −240907. | − | 1.05548e6i | −0.144701 | − | 0.633979i | ||||
\(309\) | −127568. | + | 159965.i | −0.0760054 | + | 0.0953078i | ||||
\(310\) | −141508. | + | 619985.i | −0.0836326 | + | 0.366418i | ||||
\(311\) | 76521.3 | − | 335262.i | 0.0448623 | − | 0.196554i | −0.947531 | − | 0.319665i | \(-0.896430\pi\) |
0.992393 | + | 0.123110i | \(0.0392869\pi\) | |||||||
\(312\) | −1.36236e6 | − | 1.70834e6i | −0.792326 | − | 0.993546i | ||||
\(313\) | −87551.5 | − | 42162.6i | −0.0505130 | − | 0.0243258i | 0.408457 | − | 0.912778i | \(-0.366067\pi\) |
−0.458970 | + | 0.888452i | \(0.651781\pi\) | |||||||
\(314\) | −707187. | + | 340563.i | −0.404771 | + | 0.194928i | ||||
\(315\) | −756588. | + | 948731.i | −0.429619 | + | 0.538725i | ||||
\(316\) | −194744. | − | 244201.i | −0.109710 | − | 0.137572i | ||||
\(317\) | 1.63242e6 | − | 786132.i | 0.912397 | − | 0.439387i | 0.0820461 | − | 0.996629i | \(-0.473855\pi\) |
0.830350 | + | 0.557241i | \(0.188140\pi\) | |||||||
\(318\) | 46032.1 | 0.0255266 | ||||||||
\(319\) | −1.18950e6 | + | 136318.i | −0.654466 | + | 0.0750028i | ||||
\(320\) | −598812. | −0.326901 | ||||||||
\(321\) | 1.93600e6 | − | 932327.i | 1.04868 | − | 0.505017i | ||||
\(322\) | −798372. | − | 1.00113e6i | −0.429107 | − | 0.538083i | ||||
\(323\) | 128503. | − | 161137.i | 0.0685341 | − | 0.0859390i | ||||
\(324\) | −1.02441e6 | + | 493331.i | −0.542142 | + | 0.261082i | ||||
\(325\) | −1.24461e6 | − | 599374.i | −0.653620 | − | 0.314767i | ||||
\(326\) | 218704. | + | 274246.i | 0.113976 | + | 0.142921i | ||||
\(327\) | −717865. | + | 3.14517e6i | −0.371256 | + | 1.62658i | ||||
\(328\) | 532977. | − | 2.33513e6i | 0.273542 | − | 1.19847i | ||||
\(329\) | 3.10594e6 | − | 3.89472e6i | 1.58199 | − | 1.98375i | ||||
\(330\) | 113948. | + | 499237.i | 0.0575997 | + | 0.252361i | ||||
\(331\) | −95287.0 | −0.0478039 | −0.0239020 | − | 0.999714i | \(-0.507609\pi\) | ||||
−0.0239020 | + | 0.999714i | \(0.507609\pi\) | |||||||
\(332\) | −179890. | − | 788148.i | −0.0895697 | − | 0.392431i | ||||
\(333\) | −2.73455e6 | − | 1.31689e6i | −1.35137 | − | 0.650787i | ||||
\(334\) | 1.07967e6 | + | 519940.i | 0.529570 | + | 0.255028i | ||||
\(335\) | −258041. | − | 1.13055e6i | −0.125625 | − | 0.550401i | ||||
\(336\) | 685919. | 0.331455 | ||||||||
\(337\) | 86225.6 | + | 377779.i | 0.0413582 | + | 0.181202i | 0.991388 | − | 0.130957i | \(-0.0418050\pi\) |
−0.950030 | + | 0.312159i | \(0.898948\pi\) | |||||||
\(338\) | −186123. | + | 233390.i | −0.0886150 | + | 0.111120i | ||||
\(339\) | 713651. | − | 3.12671e6i | 0.337277 | − | 1.47771i | ||||
\(340\) | −48836.5 | + | 213967.i | −0.0229112 | + | 0.100380i | ||||
\(341\) | 1.16561e6 | + | 1.46162e6i | 0.542832 | + | 0.680690i | ||||
\(342\) | −299074. | − | 144026.i | −0.138265 | − | 0.0665850i | ||||
\(343\) | −4.02068e6 | + | 1.93626e6i | −1.84529 | + | 0.888644i | ||||
\(344\) | −1.99071e6 | + | 2.49627e6i | −0.907008 | + | 1.13735i | ||||
\(345\) | −472684. | − | 592728.i | −0.213808 | − | 0.268107i | ||||
\(346\) | 1.10601e6 | − | 532625.i | 0.496670 | − | 0.239184i | ||||
\(347\) | −735013. | −0.327696 | −0.163848 | − | 0.986486i | \(-0.552391\pi\) | ||||
−0.163848 | + | 0.986486i | \(0.552391\pi\) | |||||||
\(348\) | −191012. | + | 1.72479e6i | −0.0845498 | + | 0.763462i | ||||
\(349\) | 2.51402e6 | 1.10486 | 0.552428 | − | 0.833561i | \(-0.313701\pi\) | ||||
0.552428 | + | 0.833561i | \(0.313701\pi\) | |||||||
\(350\) | 1.99854e6 | − | 962446.i | 0.872053 | − | 0.419958i | ||||
\(351\) | −159931. | − | 200547.i | −0.0692890 | − | 0.0868857i | ||||
\(352\) | −904037. | + | 1.13363e6i | −0.388892 | + | 0.487656i | ||||
\(353\) | 2.41397e6 | − | 1.16251e6i | 1.03109 | − | 0.496546i | 0.159713 | − | 0.987164i | \(-0.448943\pi\) |
0.871375 | + | 0.490618i | \(0.163229\pi\) | |||||||
\(354\) | 1.78834e6 | + | 861220.i | 0.758476 | + | 0.365263i | ||||
\(355\) | −332308. | − | 416701.i | −0.139949 | − | 0.175491i | ||||
\(356\) | −296294. | + | 1.29815e6i | −0.123908 | + | 0.542875i | ||||
\(357\) | 570695. | − | 2.50038e6i | 0.236992 | − | 1.03833i | ||||
\(358\) | −1.19788e6 | + | 1.50209e6i | −0.493974 | + | 0.619424i | ||||
\(359\) | −377954. | − | 1.65592e6i | −0.154776 | − | 0.678116i | −0.991458 | − | 0.130427i | \(-0.958365\pi\) |
0.836682 | − | 0.547688i | \(-0.184492\pi\) | |||||||
\(360\) | 989340. | 0.402336 | ||||||||
\(361\) | 515647. | + | 2.25920e6i | 0.208250 | + | 0.912403i | ||||
\(362\) | −2.05083e6 | − | 987629.i | −0.822544 | − | 0.396116i | ||||
\(363\) | −1.76917e6 | − | 851988.i | −0.704698 | − | 0.339365i | ||||
\(364\) | −492513. | − | 2.15784e6i | −0.194834 | − | 0.853623i | ||||
\(365\) | 702145. | 0.275864 | ||||||||
\(366\) | −303888. | − | 1.33142e6i | −0.118580 | − | 0.519532i | ||||
\(367\) | −1.67584e6 | + | 2.10144e6i | −0.649482 | + | 0.814425i | −0.992153 | − | 0.125031i | \(-0.960097\pi\) |
0.342671 | + | 0.939456i | \(0.388668\pi\) | |||||||
\(368\) | −45414.5 | + | 198974.i | −0.0174814 | + | 0.0765909i | ||||
\(369\) | −627461. | + | 2.74909e6i | −0.239895 | + | 1.05105i | ||||
\(370\) | −770138. | − | 965723.i | −0.292459 | − | 0.366732i | ||||
\(371\) | 117582. | + | 56624.7i | 0.0443514 | + | 0.0213585i | ||||
\(372\) | 2.44128e6 | − | 1.17566e6i | 0.914660 | − | 0.440477i | ||||
\(373\) | −203980. | + | 255783.i | −0.0759130 | + | 0.0951919i | −0.818338 | − | 0.574737i | \(-0.805104\pi\) |
0.742425 | + | 0.669929i | \(0.233676\pi\) | |||||||
\(374\) | −321371. | − | 402986.i | −0.118803 | − | 0.148974i | ||||
\(375\) | 2.62994e6 | − | 1.26651e6i | 0.965758 | − | 0.465085i | ||||
\(376\) | −4.06143e6 | −1.48152 | ||||||||
\(377\) | −2.43182e6 | + | 278690.i | −0.881209 | + | 0.100988i | ||||
\(378\) | 411890. | 0.148270 | ||||||||
\(379\) | −1.93937e6 | + | 933953.i | −0.693527 | + | 0.333985i | −0.747224 | − | 0.664572i | \(-0.768614\pi\) |
0.0536971 | + | 0.998557i | \(0.482899\pi\) | |||||||
\(380\) | 105432. | + | 132207.i | 0.0374552 | + | 0.0469673i | ||||
\(381\) | −1.03291e6 | + | 1.29523e6i | −0.364544 | + | 0.457124i | ||||
\(382\) | −1.45949e6 | + | 702853.i | −0.511732 | + | 0.246437i | ||||
\(383\) | 1.40440e6 | + | 676326.i | 0.489210 | + | 0.235591i | 0.662193 | − | 0.749334i | \(-0.269626\pi\) |
−0.172982 | + | 0.984925i | \(0.555340\pi\) | |||||||
\(384\) | 1.08620e6 | + | 1.36206e6i | 0.375909 | + | 0.471375i | ||||
\(385\) | −323056. | + | 1.41540e6i | −0.111077 | + | 0.486662i | ||||
\(386\) | −68458.0 | + | 299934.i | −0.0233860 | + | 0.102461i | ||||
\(387\) | 2.34361e6 | − | 2.93879e6i | 0.795441 | − | 0.997451i | ||||
\(388\) | −682943. | − | 2.99217e6i | −0.230306 | − | 1.00904i | ||||
\(389\) | 1.61032e6 | 0.539560 | 0.269780 | − | 0.962922i | \(-0.413049\pi\) | ||||
0.269780 | + | 0.962922i | \(0.413049\pi\) | |||||||
\(390\) | 232956. | + | 1.02065e6i | 0.0775554 | + | 0.339792i | ||||
\(391\) | 687534. | + | 331099.i | 0.227432 | + | 0.109526i | ||||
\(392\) | 6.12020e6 | + | 2.94733e6i | 2.01164 | + | 0.968755i | ||||
\(393\) | −703888. | − | 3.08393e6i | −0.229891 | − | 1.00722i | ||||
\(394\) | 2.64472e6 | 0.858302 | ||||||||
\(395\) | 93203.8 | + | 408353.i | 0.0300567 | + | 0.131687i | ||||
\(396\) | 647891. | − | 812429.i | 0.207617 | − | 0.260344i | ||||
\(397\) | −1.23334e6 | + | 5.40362e6i | −0.392742 | + | 1.72071i | 0.262181 | + | 0.965019i | \(0.415558\pi\) |
−0.654923 | + | 0.755696i | \(0.727299\pi\) | |||||||
\(398\) | −524274. | + | 2.29699e6i | −0.165902 | + | 0.726862i | ||||
\(399\) | −1.23206e6 | − | 1.54495e6i | −0.387434 | − | 0.485827i | ||||
\(400\) | −318538. | − | 153400.i | −0.0995430 | − | 0.0479374i | ||||
\(401\) | 2.62418e6 | − | 1.26374e6i | 0.814953 | − | 0.392461i | 0.0205025 | − | 0.999790i | \(-0.493473\pi\) |
0.794450 | + | 0.607329i | \(0.207759\pi\) | |||||||
\(402\) | 2.46114e6 | − | 3.08617e6i | 0.759575 | − | 0.952477i | ||||
\(403\) | 2.38298e6 | + | 2.98816e6i | 0.730898 | + | 0.916518i | ||||
\(404\) | 3.01160e6 | − | 1.45031e6i | 0.918002 | − | 0.442086i | ||||
\(405\) | 1.52473e6 | 0.461908 | ||||||||
\(406\) | 2.08480e6 | − | 3.33200e6i | 0.627694 | − | 1.00320i | ||||
\(407\) | −3.63122e6 | −1.08659 | ||||||||
\(408\) | −1.88390e6 | + | 907240.i | −0.560284 | + | 0.269818i | ||||
\(409\) | 994516. | + | 1.24708e6i | 0.293970 | + | 0.368627i | 0.906781 | − | 0.421603i | \(-0.138532\pi\) |
−0.612810 | + | 0.790230i | \(0.709961\pi\) | |||||||
\(410\) | −715498. | + | 897206.i | −0.210208 | + | 0.263592i | ||||
\(411\) | −7.37378e6 | + | 3.55103e6i | −2.15321 | + | 1.03693i | ||||
\(412\) | 152238. | + | 73313.8i | 0.0441854 | + | 0.0212786i | ||||
\(413\) | 3.50867e6 | + | 4.39973e6i | 1.01220 | + | 1.26926i | ||||
\(414\) | 273489. | − | 1.19824e6i | 0.0784223 | − | 0.343591i | ||||
\(415\) | −241232. | + | 1.05690e6i | −0.0687565 | + | 0.301242i | ||||
\(416\) | −1.84822e6 | + | 2.31760e6i | −0.523626 | + | 0.656606i | ||||
\(417\) | 226993. | + | 994521.i | 0.0639252 | + | 0.280075i | ||||
\(418\) | −397141. | −0.111174 | ||||||||
\(419\) | −1.04651e6 | − | 4.58508e6i | −0.291213 | − | 1.27589i | −0.882840 | − | 0.469674i | \(-0.844371\pi\) |
0.591627 | − | 0.806212i | \(-0.298486\pi\) | |||||||
\(420\) | 1.89584e6 | + | 912988.i | 0.524419 | + | 0.252547i | ||||
\(421\) | −4.09132e6 | − | 1.97028e6i | −1.12502 | − | 0.541779i | −0.223577 | − | 0.974686i | \(-0.571774\pi\) |
−0.901439 | + | 0.432907i | \(0.857488\pi\) | |||||||
\(422\) | −38102.4 | − | 166938.i | −0.0104153 | − | 0.0456324i | ||||
\(423\) | 4.78142e6 | 1.29929 | ||||||||
\(424\) | −23676.6 | − | 103734.i | −0.00639594 | − | 0.0280224i | ||||
\(425\) | −824216. | + | 1.03353e6i | −0.221344 | + | 0.277557i | ||||
\(426\) | 403711. | − | 1.76877e6i | 0.107782 | − | 0.472224i | ||||
\(427\) | 861560. | − | 3.77474e6i | 0.228673 | − | 1.00188i | ||||
\(428\) | −1.10643e6 | − | 1.38742e6i | −0.291955 | − | 0.366100i | ||||
\(429\) | 2.77285e6 | + | 1.33533e6i | 0.727416 | + | 0.350305i | ||||
\(430\) | 1.37825e6 | − | 663731.i | 0.359466 | − | 0.173110i | ||||
\(431\) | −3.80657e6 | + | 4.77328e6i | −0.987053 | + | 1.23773i | −0.0157507 | + | 0.999876i | \(0.505014\pi\) |
−0.971302 | + | 0.237849i | \(0.923558\pi\) | |||||||
\(432\) | −40931.6 | − | 51326.6i | −0.0105524 | − | 0.0132322i | ||||
\(433\) | −3.68138e6 | + | 1.77286e6i | −0.943605 | + | 0.454416i | −0.841440 | − | 0.540351i | \(-0.818291\pi\) |
−0.102166 | + | 0.994767i | \(0.532577\pi\) | |||||||
\(434\) | −6.13718e6 | −1.56403 | ||||||||
\(435\) | 1.23432e6 | − | 1.97274e6i | 0.312756 | − | 0.499859i | ||||
\(436\) | 2.66424e6 | 0.671207 | ||||||||
\(437\) | 529739. | − | 255109.i | 0.132696 | − | 0.0639032i | ||||
\(438\) | 1.49020e6 | + | 1.86865e6i | 0.371158 | + | 0.465418i | ||||
\(439\) | 1.34366e6 | − | 1.68490e6i | 0.332758 | − | 0.417265i | −0.587102 | − | 0.809513i | \(-0.699731\pi\) |
0.919859 | + | 0.392248i | \(0.128303\pi\) | |||||||
\(440\) | 1.06643e6 | − | 513565.i | 0.262603 | − | 0.126463i | ||||
\(441\) | −7.20516e6 | − | 3.46982e6i | −1.76420 | − | 0.849593i | ||||
\(442\) | −657014. | − | 823869.i | −0.159963 | − | 0.200587i | ||||
\(443\) | 1.46530e6 | − | 6.41991e6i | 0.354746 | − | 1.55424i | −0.411325 | − | 0.911489i | \(-0.634934\pi\) |
0.766071 | − | 0.642756i | \(-0.222209\pi\) | |||||||
\(444\) | −1.17114e6 | + | 5.13110e6i | −0.281936 | + | 1.23524i | ||||
\(445\) | 1.11329e6 | − | 1.39603e6i | 0.266508 | − | 0.334190i | ||||
\(446\) | −22992.9 | − | 100739.i | −0.00547340 | − | 0.0239805i | ||||
\(447\) | −3.96252e6 | −0.937999 | ||||||||
\(448\) | −1.28594e6 | − | 5.63409e6i | −0.302710 | − | 1.32626i | ||||
\(449\) | −159290. | − | 76710.1i | −0.0372883 | − | 0.0179571i | 0.415147 | − | 0.909754i | \(-0.363730\pi\) |
−0.452435 | + | 0.891797i | \(0.649445\pi\) | |||||||
\(450\) | 1.91826e6 | + | 923783.i | 0.446555 | + | 0.215050i | ||||
\(451\) | 750695. | + | 3.28901e6i | 0.173789 | + | 0.761419i | ||||
\(452\) | −2.64860e6 | −0.609776 | ||||||||
\(453\) | −778889. | − | 3.41254e6i | −0.178332 | − | 0.781325i | ||||
\(454\) | −2.40861e6 | + | 3.02030e6i | −0.548437 | + | 0.687718i | ||||
\(455\) | −660458. | + | 2.89366e6i | −0.149561 | + | 0.655268i | ||||
\(456\) | −358499. | + | 1.57068e6i | −0.0807375 | + | 0.353734i | ||||
\(457\) | 968514. | + | 1.21448e6i | 0.216928 | + | 0.272019i | 0.878374 | − | 0.477973i | \(-0.158628\pi\) |
−0.661446 | + | 0.749993i | \(0.730057\pi\) | |||||||
\(458\) | 1.59569e6 | + | 768445.i | 0.355456 | + | 0.171178i | ||||
\(459\) | −221157. | + | 106503.i | −0.0489969 | + | 0.0235956i | ||||
\(460\) | −390366. | + | 489504.i | −0.0860157 | + | 0.107860i | ||||
\(461\) | −2.06378e6 | − | 2.58790e6i | −0.452284 | − | 0.567146i | 0.502450 | − | 0.864606i | \(-0.332432\pi\) |
−0.954734 | + | 0.297460i | \(0.903861\pi\) | |||||||
\(462\) | −4.45251e6 | + | 2.14421e6i | −0.970509 | + | 0.467373i | ||||
\(463\) | 8.25802e6 | 1.79029 | 0.895145 | − | 0.445776i | \(-0.147072\pi\) | ||||
0.895145 | + | 0.445776i | \(0.147072\pi\) | |||||||
\(464\) | −622385. | + | 71326.2i | −0.134204 | + | 0.0153799i | ||||
\(465\) | −3.63358e6 | −0.779296 | ||||||||
\(466\) | 3.84492e6 | − | 1.85162e6i | 0.820205 | − | 0.394990i | ||||
\(467\) | −1.48087e6 | − | 1.85695e6i | −0.314213 | − | 0.394011i | 0.599497 | − | 0.800377i | \(-0.295367\pi\) |
−0.913710 | + | 0.406366i | \(0.866796\pi\) | |||||||
\(468\) | 1.32455e6 | − | 1.66094e6i | 0.279547 | − | 0.350541i | ||||
\(469\) | 1.00830e7 | − | 4.85570e6i | 2.11669 | − | 1.01934i | ||||
\(470\) | 1.75319e6 | + | 844293.i | 0.366087 | + | 0.176298i | ||||
\(471\) | −2.79627e6 | − | 3.50642e6i | −0.580801 | − | 0.728302i | ||||
\(472\) | 1.02094e6 | − | 4.47302e6i | 0.210933 | − | 0.924157i | ||||
\(473\) | 1.00070e6 | − | 4.38435e6i | 0.205660 | − | 0.901057i | ||||
\(474\) | −888956. | + | 1.11472e6i | −0.181733 | + | 0.227886i | ||||
\(475\) | 226647. | + | 993006.i | 0.0460910 | + | 0.201938i | ||||
\(476\) | −2.11804e6 | −0.428466 | ||||||||
\(477\) | 27873.9 | + | 122123.i | 0.00560920 | + | 0.0245755i | ||||
\(478\) | 4.71035e6 | + | 2.26838e6i | 0.942938 | + | 0.454095i | ||||
\(479\) | −570711. | − | 274840.i | −0.113652 | − | 0.0547320i | 0.376194 | − | 0.926541i | \(-0.377233\pi\) |
−0.489846 | + | 0.871809i | \(0.662947\pi\) | |||||||
\(480\) | −627105. | − | 2.74753e6i | −0.124233 | − | 0.544301i | ||||
\(481\) | −7.42371e6 | −1.46305 | ||||||||
\(482\) | 52949.5 | + | 231987.i | 0.0103811 | + | 0.0454827i | ||||
\(483\) | 4.56175e6 | − | 5.72026e6i | 0.889741 | − | 1.11570i | ||||
\(484\) | −360854. | + | 1.58101e6i | −0.0700194 | + | 0.306775i | ||||
\(485\) | −915824. | + | 4.01249e6i | −0.176790 | + | 0.774568i | ||||
\(486\) | 2.96494e6 | + | 3.71792e6i | 0.569411 | + | 0.714019i | ||||
\(487\) | 3.16054e6 | + | 1.52204e6i | 0.603863 | + | 0.290805i | 0.710726 | − | 0.703468i | \(-0.248366\pi\) |
−0.106863 | + | 0.994274i | \(0.534081\pi\) | |||||||
\(488\) | −2.84407e6 | + | 1.36963e6i | −0.540618 | + | 0.260348i | ||||
\(489\) | −1.24963e6 | + | 1.56699e6i | −0.236325 | + | 0.296342i | ||||
\(490\) | −2.02921e6 | − | 2.54454e6i | −0.381800 | − | 0.478762i | ||||
\(491\) | −2.17221e6 | + | 1.04608e6i | −0.406629 | + | 0.195822i | −0.626007 | − | 0.779818i | \(-0.715312\pi\) |
0.219377 | + | 0.975640i | \(0.429597\pi\) | |||||||
\(492\) | 4.88965e6 | 0.910678 | ||||||||
\(493\) | −257829. | + | 2.32812e6i | −0.0477764 | + | 0.431408i | ||||
\(494\) | −811920. | −0.149691 | ||||||||
\(495\) | −1.25548e6 | + | 604608.i | −0.230302 | + | 0.110907i | ||||
\(496\) | 609883. | + | 764769.i | 0.111312 | + | 0.139581i | ||||
\(497\) | 3.20702e6 | − | 4.02147e6i | 0.582385 | − | 0.730288i | ||||
\(498\) | −3.32477e6 | + | 1.60112e6i | −0.600742 | + | 0.289302i | ||||
\(499\) | −1.96485e6 | − | 946221.i | −0.353246 | − | 0.170114i | 0.248842 | − | 0.968544i | \(-0.419950\pi\) |
−0.602088 | + | 0.798430i | \(0.705664\pi\) | |||||||
\(500\) | −1.50303e6 | − | 1.88474e6i | −0.268870 | − | 0.337152i | ||||
\(501\) | −1.52362e6 | + | 6.67542e6i | −0.271196 | + | 1.18819i | ||||
\(502\) | 168397. | − | 737794.i | 0.0298246 | − | 0.130670i | ||||
\(503\) | −4.82260e6 | + | 6.04735e6i | −0.849887 | + | 1.06572i | 0.147174 | + | 0.989111i | \(0.452982\pi\) |
−0.997061 | + | 0.0766141i | \(0.975589\pi\) | |||||||
\(504\) | 2.12460e6 | + | 9.30847e6i | 0.372564 | + | 1.63231i | ||||
\(505\) | −4.48244e6 | −0.782143 | ||||||||
\(506\) | −327203. | − | 1.43357e6i | −0.0568121 | − | 0.248910i | ||||
\(507\) | −1.53676e6 | − | 740064.i | −0.265513 | − | 0.127864i | ||||
\(508\) | 1.23266e6 | + | 593619.i | 0.211926 | + | 0.102058i | ||||
\(509\) | 1.26750e6 | + | 5.55327e6i | 0.216847 | + | 0.950067i | 0.959791 | + | 0.280714i | \(0.0905713\pi\) |
−0.742945 | + | 0.669353i | \(0.766572\pi\) | |||||||
\(510\) | 1.00182e6 | 0.170555 | ||||||||
\(511\) | 1.50785e6 | + | 6.60632e6i | 0.255450 | + | 1.11920i | ||||
\(512\) | −991015. | + | 1.24269e6i | −0.167073 | + | 0.209502i | ||||
\(513\) | −42085.2 | + | 184387.i | −0.00706050 | + | 0.0309341i | ||||
\(514\) | 963510. | − | 4.22141e6i | 0.160860 | − | 0.704774i | ||||
\(515\) | −141276. | − | 177155.i | −0.0234721 | − | 0.0294330i | ||||
\(516\) | −5.87256e6 | − | 2.82807e6i | −0.970963 | − | 0.467591i | ||||
\(517\) | 5.15398e6 | − | 2.48203e6i | 0.848041 | − | 0.408395i | ||||
\(518\) | 7.43240e6 | − | 9.31993e6i | 1.21704 | − | 1.52612i | ||||
\(519\) | 4.37324e6 | + | 5.48388e6i | 0.712665 | + | 0.893654i | ||||
\(520\) | 2.18022e6 | − | 1.04994e6i | 0.353583 | − | 0.170277i | ||||
\(521\) | 4.28414e6 | 0.691463 | 0.345732 | − | 0.938333i | \(-0.387631\pi\) | ||||
0.345732 | + | 0.938333i | \(0.387631\pi\) | |||||||
\(522\) | 3.74804e6 | − | 429531.i | 0.602044 | − | 0.0689951i | ||||
\(523\) | 2.08888e6 | 0.333932 | 0.166966 | − | 0.985963i | \(-0.446603\pi\) | ||||
0.166966 | + | 0.985963i | \(0.446603\pi\) | |||||||
\(524\) | −2.35366e6 | + | 1.13346e6i | −0.374468 | + | 0.180334i | ||||
\(525\) | 7.90239e6 | + | 9.90929e6i | 1.25130 | + | 1.56908i | ||||
\(526\) | −9407.67 | + | 11796.8i | −0.00148258 | + | 0.00185910i | ||||
\(527\) | 3.29524e6 | − | 1.58691e6i | 0.516846 | − | 0.248900i | ||||
\(528\) | 709664. | + | 341756.i | 0.110782 | + | 0.0533496i | ||||
\(529\) | −2.65567e6 | − | 3.33011e6i | −0.412606 | − | 0.517391i | ||||
\(530\) | −11343.8 | + | 49700.6i | −0.00175417 | + | 0.00768550i | ||||
\(531\) | −1.20192e6 | + | 5.26597e6i | −0.184987 | + | 0.810480i | ||||
\(532\) | −1.01749e6 | + | 1.27590e6i | −0.155866 | + | 0.195450i | ||||
\(533\) | 1.53473e6 | + | 6.72408e6i | 0.233999 | + | 1.02521i | ||||
\(534\) | 6.07811e6 | 0.922392 | ||||||||
\(535\) | 529535. | + | 2.32004e6i | 0.0799853 | + | 0.350438i | ||||
\(536\) | −8.22061e6 | − | 3.95884e6i | −1.23592 | − | 0.595190i | ||||
\(537\) | −9.89050e6 | − | 4.76301e6i | −1.48007 | − | 0.712765i | ||||
\(538\) | 1.52441e6 | + | 6.67886e6i | 0.227062 | + | 0.994825i | ||||
\(539\) | −9.56777e6 | −1.41853 | ||||||||
\(540\) | −44814.6 | − | 196346.i | −0.00661356 | − | 0.0289759i | ||||
\(541\) | 3.84403e6 | − | 4.82027e6i | 0.564669 | − | 0.708073i | −0.414744 | − | 0.909938i | \(-0.636129\pi\) |
0.979413 | + | 0.201865i | \(0.0647003\pi\) | |||||||
\(542\) | −122460. | + | 536533.i | −0.0179059 | + | 0.0784510i | ||||
\(543\) | 2.89413e6 | − | 1.26800e7i | 0.421229 | − | 1.84552i | ||||
\(544\) | 1.76865e6 | + | 2.21781e6i | 0.256238 | + | 0.321313i | ||||
\(545\) | −3.21892e6 | − | 1.55015e6i | −0.464215 | − | 0.223554i | ||||
\(546\) | −9.10275e6 | + | 4.38365e6i | −1.30675 | + | 0.629295i | ||||
\(547\) | 5.81620e6 | − | 7.29329e6i | 0.831134 | − | 1.04221i | −0.167280 | − | 0.985909i | \(-0.553498\pi\) |
0.998414 | − | 0.0562999i | \(-0.0179303\pi\) | |||||||
\(548\) | 4.21416e6 | + | 5.28439e6i | 0.599459 | + | 0.751697i | ||||
\(549\) | 3.34825e6 | − | 1.61243e6i | 0.474119 | − | 0.228324i | ||||
\(550\) | 2.54726e6 | 0.359060 | ||||||||
\(551\) | 1.27859e6 | + | 1.27373e6i | 0.179412 | + | 0.178730i | ||||
\(552\) | −5.96510e6 | −0.833240 | ||||||||
\(553\) | −3.64194e6 | + | 1.75387e6i | −0.506431 | + | 0.243884i | ||||
\(554\) | −3.93927e6 | − | 4.93969e6i | −0.545307 | − | 0.683794i | ||||
\(555\) | 4.40043e6 | − | 5.51796e6i | 0.606405 | − | 0.760407i | ||||
\(556\) | 759019. | − | 365524.i | 0.104127 | − | 0.0501452i | ||||
\(557\) | 8.51596e6 | + | 4.10107e6i | 1.16304 | + | 0.560092i | 0.912926 | − | 0.408124i | \(-0.133817\pi\) |
0.250116 | + | 0.968216i | \(0.419531\pi\) | |||||||
\(558\) | −3.67276e6 | − | 4.60549e6i | −0.499352 | − | 0.626167i | ||||
\(559\) | 2.04584e6 | − | 8.96340e6i | 0.276912 | − | 1.21323i | ||||
\(560\) | −169033. | + | 740583.i | −0.0227773 | + | 0.0997939i | ||||
\(561\) | 1.83625e6 | − | 2.30259e6i | 0.246335 | − | 0.308894i | ||||
\(562\) | 789487. | + | 3.45897e6i | 0.105440 | + | 0.461961i | ||||
\(563\) | −2.61829e6 | −0.348134 | −0.174067 | − | 0.984734i | \(-0.555691\pi\) | ||||
−0.174067 | + | 0.984734i | \(0.555691\pi\) | |||||||
\(564\) | −1.84497e6 | − | 8.08334e6i | −0.244226 | − | 1.07002i | ||||
\(565\) | 3.20003e6 | + | 1.54105e6i | 0.421728 | + | 0.203094i | ||||
\(566\) | −4.29820e6 | − | 2.06990e6i | −0.563956 | − | 0.271587i | ||||
\(567\) | 3.27435e6 | + | 1.43458e7i | 0.427727 | + | 1.87400i | ||||
\(568\) | −4.19361e6 | −0.545402 | ||||||||
\(569\) | 159244. | + | 697694.i | 0.0206197 | + | 0.0903409i | 0.984191 | − | 0.177112i | \(-0.0566753\pi\) |
−0.963571 | + | 0.267452i | \(0.913818\pi\) | |||||||
\(570\) | 481268. | − | 603491.i | 0.0620440 | − | 0.0778007i | ||||
\(571\) | 1.43165e6 | − | 6.27247e6i | 0.183758 | − | 0.805097i | −0.796062 | − | 0.605215i | \(-0.793087\pi\) |
0.979820 | − | 0.199882i | \(-0.0640558\pi\) | |||||||
\(572\) | 565572. | − | 2.47793e6i | 0.0722766 | − | 0.316665i | ||||
\(573\) | −5.77094e6 | − | 7.23653e6i | −0.734277 | − | 0.920754i | ||||
\(574\) | −9.97813e6 | − | 4.80521e6i | −1.26406 | − | 0.608742i | ||||
\(575\) | −3.39774e6 | + | 1.63627e6i | −0.428569 | + | 0.206388i | ||||
\(576\) | 3.45839e6 | − | 4.33668e6i | 0.434328 | − | 0.544630i | ||||
\(577\) | −6.30485e6 | − | 7.90603e6i | −0.788379 | − | 0.988596i | −0.999937 | − | 0.0112303i | \(-0.996425\pi\) |
0.211558 | − | 0.977365i | \(-0.432146\pi\) | |||||||
\(578\) | 3.91395e6 | − | 1.88486e6i | 0.487300 | − | 0.234671i | ||||
\(579\) | −1.75784e6 | −0.217913 | ||||||||
\(580\) | −1.81517e6 | − | 631280.i | −0.224052 | − | 0.0779205i | ||||
\(581\) | −1.04622e7 | −1.28583 | ||||||||
\(582\) | −1.26223e7 | + | 6.07859e6i | −1.54466 | + | 0.743867i | ||||
\(583\) | 93439.9 | + | 117170.i | 0.0113857 | + | 0.0142773i | ||||
\(584\) | 3.44455e6 | − | 4.31932e6i | 0.417927 | − | 0.524063i | ||||
\(585\) | −2.56672e6 | + | 1.23607e6i | −0.310090 | + | 0.149332i | ||||
\(586\) | 3.43656e6 | + | 1.65496e6i | 0.413409 | + | 0.199087i | ||||
\(587\) | −5.53449e6 | − | 6.94003e6i | −0.662952 | − | 0.831316i | 0.330709 | − | 0.943733i | \(-0.392712\pi\) |
−0.993661 | + | 0.112417i | \(0.964141\pi\) | |||||||
\(588\) | −3.08579e6 | + | 1.35197e7i | −0.368064 | + | 1.61259i | ||||
\(589\) | 627071. | − | 2.74738e6i | 0.0744780 | − | 0.326310i | ||||
\(590\) | −1.37056e6 | + | 1.71863e6i | −0.162095 | + | 0.203260i | ||||
\(591\) | 3.36262e6 | + | 1.47326e7i | 0.396013 | + | 1.73504i | ||||
\(592\) | −1.89997e6 | −0.222815 | ||||||||
\(593\) | 862845. | + | 3.78037e6i | 0.100762 | + | 0.441466i | 0.999992 | + | 0.00399064i | \(0.00127026\pi\) |
−0.899230 | + | 0.437476i | \(0.855873\pi\) | |||||||
\(594\) | 426149. | + | 205223.i | 0.0495559 | + | 0.0238649i | ||||
\(595\) | 2.55901e6 | + | 1.23235e6i | 0.296333 | + | 0.142706i | ||||
\(596\) | 728187. | + | 3.19040e6i | 0.0839706 | + | 0.367899i | ||||
\(597\) | −1.34621e7 | −1.54589 | ||||||||
\(598\) | −668937. | − | 2.93080e6i | −0.0764948 | − | 0.335146i | ||||
\(599\) | 7.44556e6 | − | 9.33643e6i | 0.847872 | − | 1.06320i | −0.149356 | − | 0.988784i | \(-0.547720\pi\) |
0.997227 | − | 0.0744141i | \(-0.0237087\pi\) | |||||||
\(600\) | 2.29941e6 | − | 1.00744e7i | 0.260758 | − | 1.14245i | ||||
\(601\) | −2.25654e6 | + | 9.88656e6i | −0.254834 | + | 1.11650i | 0.671858 | + | 0.740680i | \(0.265496\pi\) |
−0.926692 | + | 0.375821i | \(0.877361\pi\) | |||||||
\(602\) | 9.20468e6 | + | 1.15423e7i | 1.03518 | + | 1.29808i | ||||
\(603\) | 9.67792e6 | + | 4.66064e6i | 1.08390 | + | 0.521978i | ||||
\(604\) | −2.60445e6 | + | 1.25424e6i | −0.290485 | + | 0.139890i | ||||
\(605\) | 1.35587e6 | − | 1.70021e6i | 0.150602 | − | 0.188848i | ||||
\(606\) | −9.51333e6 | − | 1.19293e7i | −1.05233 | − | 1.31958i | ||||
\(607\) | 1.07683e7 | − | 5.18575e6i | 1.18625 | − | 0.571268i | 0.266524 | − | 0.963828i | \(-0.414125\pi\) |
0.919726 | + | 0.392561i | \(0.128411\pi\) | |||||||
\(608\) | 2.18565e6 | 0.239785 | ||||||||
\(609\) | 2.12118e7 | + | 7.37703e6i | 2.31758 | + | 0.806006i | ||||
\(610\) | 1.51242e6 | 0.164568 | ||||||||
\(611\) | 1.05369e7 | − | 5.07428e6i | 1.14185 | − | 0.549885i | ||||
\(612\) | −1.26753e6 | − | 1.58943e6i | −0.136798 | − | 0.171539i | ||||
\(613\) | 6.99909e6 | − | 8.77659e6i | 0.752299 | − | 0.943353i | −0.247374 | − | 0.968920i | \(-0.579568\pi\) |
0.999673 | + | 0.0255666i | \(0.00813900\pi\) | |||||||
\(614\) | −2.05760e6 | + | 990888.i | −0.220262 | + | 0.106073i | ||||
\(615\) | −5.90765e6 | − | 2.84498e6i | −0.629836 | − | 0.303313i | ||||
\(616\) | 7.12216e6 | + | 8.93091e6i | 0.756241 | + | 0.948296i | ||||
\(617\) | −807245. | + | 3.53677e6i | −0.0853675 | + | 0.374020i | −0.999508 | − | 0.0313790i | \(-0.990010\pi\) |
0.914140 | + | 0.405399i | \(0.132867\pi\) | |||||||
\(618\) | 171632. | − | 751971.i | 0.0180771 | − | 0.0792008i | ||||
\(619\) | −6.31340e6 | + | 7.91675e6i | −0.662272 | + | 0.830463i | −0.993589 | − | 0.113057i | \(-0.963936\pi\) |
0.331316 | + | 0.943520i | \(0.392507\pi\) | |||||||
\(620\) | 667739. | + | 2.92556e6i | 0.0697634 | + | 0.305653i | ||||
\(621\) | −700260. | −0.0728669 | ||||||||
\(622\) | 288469. | + | 1.26387e6i | 0.0298967 | + | 0.130986i | ||||
\(623\) | 1.55257e7 | + | 7.47677e6i | 1.60262 | + | 0.771781i | ||||
\(624\) | 1.45084e6 | + | 698690.i | 0.149162 | + | 0.0718328i | ||||
\(625\) | −1.05801e6 | − | 4.63546e6i | −0.108341 | − | 0.474671i | ||||
\(626\) | 366329. | 0.0373624 | ||||||||
\(627\) | −504943. | − | 2.21230e6i | −0.0512948 | − | 0.224737i | ||||
\(628\) | −2.30930e6 | + | 2.89577e6i | −0.233659 | + | 0.292999i | ||||
\(629\) | −1.58081e6 | + | 6.92597e6i | −0.159313 | + | 0.697998i | ||||
\(630\) | 1.01793e6 | − | 4.45984e6i | 0.102180 | − | 0.447681i | ||||
\(631\) | −1.73300e6 | − | 2.17311e6i | −0.173270 | − | 0.217274i | 0.687612 | − | 0.726078i | \(-0.258659\pi\) |
−0.860882 | + | 0.508804i | \(0.830088\pi\) | |||||||
\(632\) | 2.96926e6 | + | 1.42992e6i | 0.295703 | + | 0.142403i | ||||
\(633\) | 881490. | − | 424503.i | 0.0874396 | − | 0.0421087i | ||||
\(634\) | −4.25861e6 | + | 5.34013e6i | −0.420770 | + | 0.527629i | ||||
\(635\) | −1.14391e6 | − | 1.43442e6i | −0.112579 | − | 0.141170i | ||||
\(636\) | 195703. | − | 94245.6i | 0.0191847 | − | 0.00923886i | ||||
\(637\) | −1.95604e7 | −1.90998 | ||||||||
\(638\) | 3.81712e6 | − | 2.40860e6i | 0.371265 | − | 0.234268i | ||||
\(639\) | 4.93703e6 | 0.478315 | ||||||||
\(640\) | −1.73828e6 | + | 837113.i | −0.167753 | + | 0.0807856i | ||||
\(641\) | −1.80817e6 | − | 2.26738e6i | −0.173818 | − | 0.217961i | 0.687290 | − | 0.726383i | \(-0.258800\pi\) |
−0.861108 | + | 0.508422i | \(0.830229\pi\) | |||||||
\(642\) | −5.05058e6 | + | 6.33323e6i | −0.483619 | + | 0.606439i | ||||
\(643\) | −1.45190e7 | + | 6.99199e6i | −1.38487 | + | 0.666920i | −0.970033 | − | 0.242974i | \(-0.921877\pi\) |
−0.414841 | + | 0.909894i | \(0.636163\pi\) | |||||||
\(644\) | −5.44394e6 | − | 2.62166e6i | −0.517247 | − | 0.249093i | ||||
\(645\) | 5.44972e6 | + | 6.83374e6i | 0.515793 | + | 0.646784i | ||||
\(646\) | −172891. | + | 757483.i | −0.0163001 | + | 0.0714153i | ||||
\(647\) | −3.55969e6 | + | 1.55960e7i | −0.334311 | + | 1.46471i | 0.476380 | + | 0.879240i | \(0.341949\pi\) |
−0.810691 | + | 0.585474i | \(0.800908\pi\) | |||||||
\(648\) | 7.47994e6 | − | 9.37955e6i | 0.699779 | − | 0.877495i | ||||
\(649\) | 1.43798e6 | + | 6.30021e6i | 0.134011 | + | 0.587143i | ||||
\(650\) | 5.20764e6 | 0.483457 | ||||||||
\(651\) | −7.80308e6 | − | 3.41875e7i | −0.721629 | − | 3.16166i | ||||
\(652\) | 1.49129e6 | + | 718170.i | 0.137387 | + | 0.0661619i | ||||
\(653\) | −9.06324e6 | − | 4.36463e6i | −0.831765 | − | 0.400557i | −0.0309880 | − | 0.999520i | \(-0.509865\pi\) |
−0.800777 | + | 0.598963i | \(0.795580\pi\) | |||||||
\(654\) | −2.70620e6 | − | 1.18566e7i | −0.247409 | − | 1.08397i | ||||
\(655\) | 3.50317e6 | 0.319049 | ||||||||
\(656\) | 392788. | + | 1.72092e6i | 0.0356368 | + | 0.156135i | ||||
\(657\) | −4.05518e6 | + | 5.08504e6i | −0.366519 | + | 0.459601i | ||||
\(658\) | −4.17879e6 | + | 1.83085e7i | −0.376258 | + | 1.64850i | ||||
\(659\) | 966369. | − | 4.23394e6i | 0.0866821 | − | 0.379779i | −0.912915 | − | 0.408149i | \(-0.866174\pi\) |
0.999597 | + | 0.0283697i | \(0.00903156\pi\) | |||||||
\(660\) | 1.50658e6 | + | 1.88919e6i | 0.134627 | + | 0.168817i | ||||
\(661\) | 1.13829e7 | + | 5.48172e6i | 1.01333 | + | 0.487993i | 0.865441 | − | 0.501012i | \(-0.167039\pi\) |
0.147887 | + | 0.989004i | \(0.452753\pi\) | |||||||
\(662\) | 323639. | − | 155856.i | 0.0287022 | − | 0.0138223i | ||||
\(663\) | 3.75406e6 | − | 4.70744e6i | 0.331678 | − | 0.415911i | ||||
\(664\) | 5.31825e6 | + | 6.66887e6i | 0.468110 | + | 0.586992i | ||||
\(665\) | 1.97169e6 | − | 949518.i | 0.172896 | − | 0.0832625i | ||||
\(666\) | 1.14418e7 | 0.999557 | ||||||||
\(667\) | −3.54439e6 | + | 5.66477e6i | −0.308480 | + | 0.493024i | ||||
\(668\) | 5.65467e6 | 0.490305 | ||||||||
\(669\) | 531936. | − | 256167.i | 0.0459509 | − | 0.0221288i | ||||
\(670\) | 2.72562e6 | + | 3.41781e6i | 0.234573 | + | 0.294145i | ||||
\(671\) | 2.77213e6 | − | 3.47615e6i | 0.237688 | − | 0.298052i | ||||
\(672\) | 2.45041e7 | − | 1.18006e7i | 2.09323 | − | 1.00805i | ||||
\(673\) | 7.64397e6 | + | 3.68114e6i | 0.650551 | + | 0.313289i | 0.729896 | − | 0.683558i | \(-0.239569\pi\) |
−0.0793449 | + | 0.996847i | \(0.525283\pi\) | |||||||
\(674\) | −910776. | − | 1.14208e6i | −0.0772257 | − | 0.0968380i | ||||
\(675\) | 269934. | − | 1.18266e6i | 0.0228033 | − | 0.0999078i | ||||
\(676\) | −313450. | + | 1.37331e6i | −0.0263816 | + | 0.115585i | ||||
\(677\) | −5.44962e6 | + | 6.83361e6i | −0.456977 | + | 0.573031i | −0.955929 | − | 0.293598i | \(-0.905147\pi\) |
0.498952 | + | 0.866630i | \(0.333719\pi\) | |||||||
\(678\) | 2.69031e6 | + | 1.17870e7i | 0.224765 | + | 0.984760i | ||||
\(679\) | −3.97193e7 | −3.30618 | ||||||||
\(680\) | −515286. | − | 2.25761e6i | −0.0427342 | − | 0.187231i | ||||
\(681\) | −1.98872e7 | − | 9.57716e6i | −1.64326 | − | 0.791351i | ||||
\(682\) | −6.34964e6 | − | 3.05783e6i | −0.522743 | − | 0.251740i | ||||
\(683\) | 3.57909e6 | + | 1.56810e7i | 0.293576 | + | 1.28624i | 0.879510 | + | 0.475881i | \(0.157871\pi\) |
−0.585934 | + | 0.810359i | \(0.699272\pi\) | |||||||
\(684\) | −1.56637e6 | −0.128013 | ||||||||
\(685\) | −2.01688e6 | − | 8.83653e6i | −0.164230 | − | 0.719540i | ||||
\(686\) | 1.04890e7 | − | 1.31528e7i | 0.850992 | − | 1.06711i | ||||
\(687\) | −2.25183e6 | + | 9.86593e6i | −0.182031 | + | 0.797528i | ||||
\(688\) | 523598. | − | 2.29403e6i | 0.0421723 | − | 0.184769i | ||||
\(689\) | 191029. | + | 239543.i | 0.0153304 | + | 0.0192237i | ||||
\(690\) | 2.57495e6 | + | 1.24003e6i | 0.205895 | + | 0.0991538i | ||||
\(691\) | 1.93293e7 | − | 9.30852e6i | 1.54000 | − | 0.741627i | 0.544719 | − | 0.838619i | \(-0.316636\pi\) |
0.995285 | + | 0.0969921i | \(0.0309222\pi\) | |||||||
\(692\) | 3.61164e6 | − | 4.52886e6i | 0.286708 | − | 0.359520i | ||||
\(693\) | −8.38475e6 | − | 1.05141e7i | −0.663219 | − | 0.831650i | ||||
\(694\) | 2.49644e6 | − | 1.20222e6i | 0.196754 | − | 0.0947517i | ||||
\(695\) | −1.12972e6 | −0.0887173 | ||||||||
\(696\) | −6.08027e6 | − | 1.72709e7i | −0.475773 | − | 1.35142i | ||||
\(697\) | 6.60006e6 | 0.514595 | ||||||||
\(698\) | −8.53878e6 | + | 4.11206e6i | −0.663372 | + | 0.319463i | ||||
\(699\) | 1.52031e7 | + | 1.90641e7i | 1.17690 | + | 1.47579i | ||||
\(700\) | 6.52619e6 | − | 8.18358e6i | 0.503401 | − | 0.631246i | ||||
\(701\) | −1.65186e7 | + | 7.95496e6i | −1.26964 | + | 0.611425i | −0.942706 | − | 0.333624i | \(-0.891729\pi\) |
−0.326930 | + | 0.945048i | \(0.606014\pi\) | |||||||
\(702\) | 871223. | + | 419559.i | 0.0667247 | + | 0.0321329i | ||||
\(703\) | 3.41276e6 | + | 4.27946e6i | 0.260446 | + | 0.326589i | ||||
\(704\) | 1.47670e6 | − | 6.46984e6i | 0.112295 | − | 0.491996i | ||||
\(705\) | −2.47410e6 | + | 1.08397e7i | −0.187475 | + | 0.821383i | ||||
\(706\) | −6.29751e6 | + | 7.89683e6i | −0.475507 | + | 0.596267i | ||||
\(707\) | −9.62600e6 | − | 4.21743e7i | −0.724265 | − | 3.17321i | ||||
\(708\) | 9.36629e6 | 0.702238 | ||||||||
\(709\) | −1.55072e6 | − | 6.79415e6i | −0.115856 | − | 0.507598i | −0.999241 | − | 0.0389502i | \(-0.987599\pi\) |
0.883385 | − | 0.468647i | \(-0.155259\pi\) | |||||||
\(710\) | 1.81025e6 | + | 871770.i | 0.134770 | + | 0.0649017i | ||||
\(711\) | −3.49564e6 | − | 1.68341e6i | −0.259330 | − | 0.124887i | ||||
\(712\) | −3.12627e6 | − | 1.36971e7i | −0.231114 | − | 1.01258i | ||||
\(713\) | 1.04339e7 | 0.768640 | ||||||||
\(714\) | 2.15140e6 | + | 9.42590e6i | 0.157934 | + | 0.691954i | ||||
\(715\) | −2.12507e6 | + | 2.66476e6i | −0.155457 | + | 0.194936i | ||||
\(716\) | −2.01735e6 | + | 8.83857e6i | −0.147061 | + | 0.644317i | ||||
\(717\) | −6.64722e6 | + | 2.91234e7i | −0.482883 | + | 2.11565i | ||||
\(718\) | 3.99221e6 | + | 5.00608e6i | 0.289003 | + | 0.362399i | ||||
\(719\) | 3.01450e6 | + | 1.45171e6i | 0.217467 | + | 0.104727i | 0.539446 | − | 0.842020i | \(-0.318634\pi\) |
−0.321979 | + | 0.946747i | \(0.604348\pi\) | |||||||
\(720\) | −656908. | + | 316350.i | −0.0472252 | + | 0.0227424i | ||||
\(721\) | 1.36342e6 | − | 1.70968e6i | 0.0976769 | − | 0.122483i | ||||
\(722\) | −5.44664e6 | − | 6.82986e6i | −0.388853 | − | 0.487606i | ||||
\(723\) | −1.22498e6 | + | 589917.i | −0.0871529 | + | 0.0419706i | ||||
\(724\) | −1.07411e7 | −0.761555 | ||||||||
\(725\) | −8.20085e6 | − | 8.16969e6i | −0.579447 | − | 0.577245i | ||||
\(726\) | 7.40248e6 | 0.521237 | ||||||||
\(727\) | −2.09210e7 | + | 1.00750e7i | −1.46807 | + | 0.706985i | −0.985626 | − | 0.168942i | \(-0.945965\pi\) |
−0.482443 | + | 0.875927i | \(0.660251\pi\) | |||||||
\(728\) | 1.45606e7 | + | 1.82584e7i | 1.01824 | + | 1.27684i | ||||
\(729\) | −7.25710e6 | + | 9.10011e6i | −0.505760 | + | 0.634203i | ||||
\(730\) | −2.38481e6 | + | 1.14846e6i | −0.165633 | + | 0.0797646i | ||||
\(731\) | −7.92679e6 | − | 3.81734e6i | −0.548661 | − | 0.264221i | ||||
\(732\) | −4.01790e6 | − | 5.03829e6i | −0.277154 | − | 0.347540i | ||||
\(733\) | 3.58458e6 | − | 1.57051e7i | 0.246422 | − | 1.07964i | −0.688625 | − | 0.725118i | \(-0.741785\pi\) |
0.935046 | − | 0.354525i | \(-0.115358\pi\) | |||||||
\(734\) | 2.25471e6 | − | 9.87853e6i | 0.154472 | − | 0.676787i | ||||
\(735\) | 1.15945e7 | − | 1.45391e7i | 0.791652 | − | 0.992700i | ||||
\(736\) | 1.80074e6 | + | 7.88958e6i | 0.122534 | + | 0.536858i | ||||
\(737\) | 1.28514e7 | 0.871526 | ||||||||
\(738\) | −2.36540e6 | − | 1.03635e7i | −0.159868 | − | 0.700430i | ||||
\(739\) | −3.68731e6 | − | 1.77571e6i | −0.248370 | − | 0.119609i | 0.305558 | − | 0.952174i | \(-0.401157\pi\) |
−0.553927 | + | 0.832565i | \(0.686871\pi\) | |||||||
\(740\) | −5.25142e6 | − | 2.52895e6i | −0.352531 | − | 0.169770i | ||||
\(741\) | −1.03231e6 | − | 4.52285e6i | −0.0690660 | − | 0.302598i | ||||
\(742\) | −491983. | −0.0328050 | ||||||||
\(743\) | −4.62278e6 | − | 2.02537e7i | −0.307207 | − | 1.34596i | −0.858998 | − | 0.511979i | \(-0.828912\pi\) |
0.551791 | − | 0.833983i | \(-0.313945\pi\) | |||||||
\(744\) | −1.78254e7 | + | 2.23524e7i | −1.18061 | + | 1.48044i | ||||
\(745\) | 976497. | − | 4.27831e6i | 0.0644585 | − | 0.282411i | ||||
\(746\) | 274440. | − | 1.20240e6i | 0.0180551 | − | 0.0791045i | ||||
\(747\) | −6.26104e6 | − | 7.85110e6i | −0.410530 | − | 0.514789i | ||||
\(748\) | −2.19136e6 | − | 1.05530e6i | −0.143206 | − | 0.0689642i | ||||
\(749\) | −2.06916e7 | + | 9.96454e6i | −1.34769 | + | 0.649012i | ||||
\(750\) | −6.86093e6 | + | 8.60334e6i | −0.445379 | + | 0.558488i | ||||
\(751\) | 6.54300e6 | + | 8.20467e6i | 0.423328 | + | 0.530837i | 0.947064 | − | 0.321044i | \(-0.104034\pi\) |
−0.523736 | + | 0.851881i | \(0.675462\pi\) | |||||||
\(752\) | 2.69673e6 | − | 1.29868e6i | 0.173897 | − | 0.0837446i | ||||
\(753\) | 4.32403e6 | 0.277908 | ||||||||
\(754\) | 7.80376e6 | − | 4.92417e6i | 0.499891 | − | 0.315431i | ||||
\(755\) | 3.87645e6 | 0.247495 | ||||||||
\(756\) | 1.75113e6 | − | 843300.i | 0.111433 | − | 0.0536633i | ||||
\(757\) | −1.01949e7 | − | 1.27840e7i | −0.646610 | − | 0.810823i | 0.345202 | − | 0.938528i | \(-0.387810\pi\) |
−0.991812 | + | 0.127705i | \(0.959239\pi\) | |||||||
\(758\) | 5.05939e6 | − | 6.34427e6i | 0.319834 | − | 0.401059i | ||||
\(759\) | 7.56976e6 | − | 3.64541e6i | 0.476955 | − | 0.229690i | ||||
\(760\) | −1.60752e6 | − | 774139.i | −0.100953 | − | 0.0486166i | ||||
\(761\) | 7.75285e6 | + | 9.72177e6i | 0.485288 | + | 0.608532i | 0.962840 | − | 0.270071i | \(-0.0870472\pi\) |
−0.477552 | + | 0.878603i | \(0.658476\pi\) | |||||||
\(762\) | 1.38970e6 | − | 6.08868e6i | 0.0867030 | − | 0.379870i | ||||
\(763\) | 7.67241e6 | − | 3.36150e7i | 0.477112 | − | 2.09037i | ||||
\(764\) | −4.76593e6 | + | 5.97628e6i | −0.295402 | + | 0.370423i | ||||
\(765\) | 606634. | + | 2.65784e6i | 0.0374777 | + | 0.164200i | ||||
\(766\) | −5.87624e6 | −0.361849 | ||||||||
\(767\) | 2.93983e6 | + | 1.28802e7i | 0.180440 | + | 0.790560i | ||||
\(768\) | −2.15062e7 | − | 1.03568e7i | −1.31571 | − | 0.633614i | ||||
\(769\) | 9.55303e6 | + | 4.60049e6i | 0.582539 | + | 0.280536i | 0.701854 | − | 0.712320i | \(-0.252356\pi\) |
−0.119315 | + | 0.992856i | \(0.538070\pi\) | |||||||
\(770\) | −1.21785e6 | − | 5.33576e6i | −0.0740232 | − | 0.324317i | ||||
\(771\) | 2.47407e7 | 1.49891 | ||||||||
\(772\) | 323037. | + | 1.41532e6i | 0.0195078 | + | 0.0854693i | ||||
\(773\) | 6.00139e6 | − | 7.52551e6i | 0.361246 | − | 0.452988i | −0.567682 | − | 0.823248i | \(-0.692160\pi\) |
0.928928 | + | 0.370259i | \(0.120731\pi\) | |||||||
\(774\) | −3.15314e6 | + | 1.38148e7i | −0.189187 | + | 0.828882i | ||||
\(775\) | −4.02202e6 | + | 1.76216e7i | −0.240542 | + | 1.05388i | ||||
\(776\) | 2.01905e7 | + | 2.53180e7i | 1.20363 | + | 1.50930i | ||||
\(777\) | 6.13671e7 | + | 2.95528e7i | 3.64656 | + | 1.75609i | ||||
\(778\) | −5.46941e6 | + | 2.63393e6i | −0.323960 | + | 0.156011i | ||||
\(779\) | 3.17063e6 | − | 3.97584e6i | 0.187198 | − | 0.234739i | ||||
\(780\) | 3.08006e6 | + | 3.86227e6i | 0.181269 | + | 0.227304i | ||||
\(781\) | 5.32172e6 | − | 2.56281e6i | 0.312194 | − | 0.150345i | ||||
\(782\) | −2.87675e6 | −0.168223 | ||||||||
\(783\) | −713780. | − | 2.02747e6i | −0.0416064 | − | 0.118182i | ||||
\(784\) | −5.00617e6 | −0.290881 | ||||||||
\(785\) | 4.47496e6 | − | 2.15503e6i | 0.259188 | − | 0.124818i | ||||
\(786\) | 7.43496e6 | + | 9.32315e6i | 0.429262 | + | 0.538277i | ||||
\(787\) | 3.87213e6 | − | 4.85550e6i | 0.222850 | − | 0.279445i | −0.657820 | − | 0.753175i | \(-0.728521\pi\) |
0.880670 | + | 0.473730i | \(0.157093\pi\) | |||||||
\(788\) | 1.12439e7 | − | 5.41478e6i | 0.645063 | − | 0.310646i | ||||
\(789\) | −77676.4 | − | 37407.0i | −0.00444218 | − | 0.00213924i | ||||
\(790\) | −984485. | − | 1.23451e6i | −0.0561231 | − | 0.0703761i | ||||
\(791\) | −7.62738e6 | + | 3.34177e7i | −0.433445 | + | 1.89905i | ||||
\(792\) | −2.43976e6 | + | 1.06893e7i | −0.138208 | + | 0.605530i | ||||
\(793\) | 5.66738e6 | − | 7.10667e6i | 0.320036 | − | 0.401313i | ||||
\(794\) | −4.64944e6 | − | 2.03705e7i | −0.261727 | − | 1.14670i | ||||
\(795\) | −291283. | −0.0163455 | ||||||||
\(796\) | 2.47392e6 | + | 1.08389e7i | 0.138389 | + | 0.606323i | ||||
\(797\) | 6.50878e6 | + | 3.13446e6i | 0.362956 | + | 0.174790i | 0.606469 | − | 0.795107i | \(-0.292586\pi\) |
−0.243513 | + | 0.969898i | \(0.578300\pi\) | |||||||
\(798\) | 6.71163e6 | + | 3.23215e6i | 0.373096 | + | 0.179674i | ||||
\(799\) | −2.49034e6 | − | 1.09109e7i | −0.138004 | − | 0.604636i | ||||
\(800\) | −1.40187e7 | −0.774432 | ||||||||
\(801\) | 3.68049e6 | + | 1.61253e7i | 0.202686 | + | 0.888026i | ||||
\(802\) | −6.84589e6 | + | 8.58447e6i | −0.375832 | + | 0.471279i | ||||
\(803\) | −1.73152e6 | + | 7.58630e6i | −0.0947631 | + | 0.415184i | ||||
\(804\) | 4.14481e6 | − | 1.81596e7i | 0.226133 | − | 0.990755i | ||||
\(805\) | 5.05197e6 | + | 6.33496e6i | 0.274771 | + | 0.344552i | ||||
\(806\) | −1.29813e7 | − | 6.25145e6i | −0.703849 | − | 0.338956i | ||||
\(807\) | −3.52668e7 | + | 1.69836e7i | −1.90626 | + | 0.918006i | ||||
\(808\) | −2.19897e7 | + | 2.75743e7i | −1.18493 | + | 1.48585i | ||||
\(809\) | 2.18265e6 | + | 2.73695e6i | 0.117250 | + | 0.147027i | 0.836993 | − | 0.547214i | \(-0.184312\pi\) |
−0.719743 | + | 0.694241i | \(0.755740\pi\) | |||||||
\(810\) | −5.17869e6 | + | 2.49393e6i | −0.277337 | + | 0.133558i | ||||
\(811\) | −4.29926e6 | −0.229531 | −0.114766 | − | 0.993393i | \(-0.536612\pi\) | ||||
−0.114766 | + | 0.993393i | \(0.536612\pi\) | |||||||
\(812\) | 2.04150e6 | − | 1.84342e7i | 0.108658 | − | 0.981148i | ||||
\(813\) | −3.14449e6 | −0.166849 | ||||||||
\(814\) | 1.23333e7 | − | 5.93941e6i | 0.652407 | − | 0.314183i | ||||
\(815\) | −1.38392e6 | − | 1.73538e6i | −0.0729822 | − | 0.0915168i | ||||
\(816\) | 960788. | − | 1.20479e6i | 0.0505129 | − | 0.0633411i | ||||
\(817\) | −6.10753e6 | + | 2.94123e6i | −0.320118 | + | 0.154161i | ||||
\(818\) | −5.41763e6 | − | 2.60899e6i | −0.283091 | − | 0.136329i | ||||
\(819\) | −1.71419e7 | − | 2.14952e7i | −0.892993 | − | 1.11978i | ||||
\(820\) | −1.20497e6 | + | 5.27933e6i | −0.0625810 | + | 0.274185i | ||||
\(821\) | 3.18087e6 | − | 1.39363e7i | 0.164698 | − | 0.721589i | −0.823362 | − | 0.567517i | \(-0.807904\pi\) |
0.988060 | − | 0.154072i | \(-0.0492388\pi\) | |||||||
\(822\) | 1.92365e7 | − | 2.41218e7i | 0.992995 | − | 1.24518i | ||||
\(823\) | 6.52573e6 | + | 2.85911e7i | 0.335838 | + | 1.47140i | 0.807628 | + | 0.589692i | \(0.200751\pi\) |
−0.471791 | + | 0.881711i | \(0.656392\pi\) | |||||||
\(824\) | −1.78285e6 | −0.0914740 | ||||||||
\(825\) | 3.23870e6 | + | 1.41897e7i | 0.165667 | + | 0.725834i | ||||
\(826\) | −1.91135e7 | − | 9.20456e6i | −0.974741 | − | 0.469411i | ||||
\(827\) | 7.44560e6 | + | 3.58561e6i | 0.378561 | + | 0.182305i | 0.613481 | − | 0.789709i | \(-0.289769\pi\) |
−0.234920 | + | 0.972015i | \(0.575483\pi\) | |||||||
\(828\) | −1.29053e6 | − | 5.65418e6i | −0.0654172 | − | 0.286611i | ||||
\(829\) | −9.03225e6 | −0.456467 | −0.228234 | − | 0.973606i | \(-0.573295\pi\) | ||||
−0.228234 | + | 0.973606i | \(0.573295\pi\) | |||||||
\(830\) | −909392. | − | 3.98431e6i | −0.0458201 | − | 0.200751i | ||||
\(831\) | 2.25083e7 | − | 2.82245e7i | 1.13068 | − | 1.41783i | ||||
\(832\) | 3.01898e6 | − | 1.32270e7i | 0.151200 | − | 0.662450i | ||||
\(833\) | −4.16521e6 | + | 1.82490e7i | −0.207981 | + | 0.911225i | ||||
\(834\) | −2.39766e6 | − | 3.00657e6i | −0.119364 | − | 0.149678i | ||||
\(835\) | −6.83195e6 | − | 3.29009e6i | −0.339101 | − | 0.163302i | ||||
\(836\) | −1.68843e6 | + | 813103.i | −0.0835538 | + | 0.0402374i | ||||
\(837\) | −2.09258e6 | + | 2.62401e6i | −0.103245 | + | 0.129465i | ||||
\(838\) | 1.10540e7 | + | 1.38613e7i | 0.543764 | + | 0.681859i | ||||
\(839\) | 3.17172e7 | − | 1.52742e7i | 1.55557 | − | 0.749124i | 0.558791 | − | 0.829309i | \(-0.311265\pi\) |
0.996780 | + | 0.0801850i | \(0.0255511\pi\) | |||||||
\(840\) | −2.22022e7 | −1.08567 | ||||||||
\(841\) | −2.00141e7 | − | 4.48798e6i | −0.975768 | − | 0.218807i | ||||
\(842\) | 1.71187e7 | 0.832129 | ||||||||
\(843\) | −1.82646e7 | + | 8.79576e6i | −0.885199 | + | 0.426289i | ||||
\(844\) | −503777. | − | 631716.i | −0.0243434 | − | 0.0305257i | ||||
\(845\) | 1.17775e6 | − | 1.47685e6i | 0.0567430 | − | 0.0711535i | ||||
\(846\) | −1.62399e7 | + | 7.82072e6i | −0.780113 | + | 0.375683i | ||||
\(847\) | 1.89086e7 | + | 9.10589e6i | 0.905629 | + | 0.436128i | ||||
\(848\) | 48890.8 | + | 61307.1i | 0.00233473 | + | 0.00292766i | ||||
\(849\) | 6.06560e6 | − | 2.65751e7i | 0.288805 | − | 1.26534i | ||||
\(850\) | 1.10892e6 | − | 4.85849e6i | 0.0526444 | − | 0.230650i | ||||
\(851\) | −1.26359e7 | + | 1.58449e7i | −0.598112 | + | 0.750009i | ||||
\(852\) | −1.90501e6 | − | 8.34641e6i | −0.0899082 | − | 0.393913i | ||||
\(853\) | 1.15136e7 | 0.541801 | 0.270901 | − | 0.962607i | \(-0.412678\pi\) | ||||
0.270901 | + | 0.962607i | \(0.412678\pi\) | |||||||
\(854\) | 3.24790e6 | + | 1.42300e7i | 0.152390 | + | 0.667666i | ||||
\(855\) | 1.89249e6 | + | 911375.i | 0.0885356 | + | 0.0426365i | ||||
\(856\) | 1.68698e7 | + | 8.12405e6i | 0.786909 | + | 0.378956i | ||||
\(857\) | −3.93011e6 | − | 1.72189e7i | −0.182790 | − | 0.800856i | −0.980294 | − | 0.197542i | \(-0.936704\pi\) |
0.797504 | − | 0.603313i | \(-0.206153\pi\) | |||||||
\(858\) | −1.16020e7 | −0.538040 | ||||||||
\(859\) | −358731. | − | 1.57170e6i | −0.0165877 | − | 0.0726755i | 0.965957 | − | 0.258704i | \(-0.0832954\pi\) |
−0.982544 | + | 0.186029i | \(0.940438\pi\) | |||||||
\(860\) | 4.50065e6 | − | 5.64364e6i | 0.207505 | − | 0.260204i | ||||
\(861\) | 1.40811e7 | − | 6.16933e7i | 0.647334 | − | 2.83616i | ||||
\(862\) | 5.12144e6 | − | 2.24385e7i | 0.234760 | − | 1.02855i | ||||
\(863\) | −1.74098e7 | − | 2.18312e7i | −0.795731 | − | 0.997815i | −0.999822 | − | 0.0188632i | \(-0.993995\pi\) |
0.204091 | − | 0.978952i | \(-0.434576\pi\) | |||||||
\(864\) | −2.34529e6 | − | 1.12943e6i | −0.106884 | − | 0.0514726i | ||||
\(865\) | −6.99863e6 | + | 3.37036e6i | −0.318033 | + | 0.153157i | ||||
\(866\) | 9.60388e6 | − | 1.20429e7i | 0.435163 | − | 0.545677i | ||||
\(867\) | 1.54761e7 | + | 1.94064e7i | 0.699220 | + | 0.876794i | ||||
\(868\) | −2.60919e7 | + | 1.25652e7i | −1.17546 | + | 0.566070i | ||||
\(869\) | −4.64187e6 | −0.208518 | ||||||||
\(870\) | −965618. | + | 8.71927e6i | −0.0432521 | + | 0.390555i | ||||
\(871\) | 2.62734e7 | 1.17347 | ||||||||
\(872\) | −2.53271e7 | + | 1.21969e7i | −1.12796 | + | 0.543199i | ||||
\(873\) | −2.37697e7 | − | 2.98063e7i | −1.05557 | − | 1.32365i | ||||
\(874\) | −1.38197e6 | + | 1.73294e6i | −0.0611956 | + | 0.0767369i | ||||
\(875\) | −2.81084e7 | + | 1.35363e7i | −1.24112 | + | 0.597694i | ||||
\(876\) | 1.01614e7 | + | 4.89346e6i | 0.447396 | + | 0.215454i | ||||
\(877\) | 5.30442e6 | + | 6.65153e6i | 0.232884 | + | 0.292027i | 0.884518 | − | 0.466507i | \(-0.154488\pi\) |
−0.651634 | + | 0.758533i | \(0.725916\pi\) | |||||||
\(878\) | −1.80779e6 | + | 7.92044e6i | −0.0791428 | + | 0.346747i | ||||
\(879\) | −4.84966e6 | + | 2.12477e7i | −0.211709 | + | 0.927557i | ||||
\(880\) | −543877. | + | 682001.i | −0.0236752 | + | 0.0296878i | ||||
\(881\) | −854681. | − | 3.74460e6i | −0.0370992 | − | 0.162542i | 0.952985 | − | 0.303017i | \(-0.0979941\pi\) |
−0.990084 | + | 0.140475i | \(0.955137\pi\) | |||||||
\(882\) | 3.01475e7 | 1.30491 | ||||||||
\(883\) | −953474. | − | 4.17744e6i | −0.0411535 | − | 0.180305i | 0.950174 | − | 0.311720i | \(-0.100905\pi\) |
−0.991327 | + | 0.131415i | \(0.958048\pi\) | |||||||
\(884\) | −4.48004e6 | − | 2.15747e6i | −0.192820 | − | 0.0928571i | ||||
\(885\) | −1.13163e7 | − | 5.44965e6i | −0.485677 | − | 0.233889i | ||||
\(886\) | 5.52388e6 | + | 2.42017e7i | 0.236407 | + | 1.03577i | ||||
\(887\) | −4.72746e6 | −0.201752 | −0.100876 | − | 0.994899i | \(-0.532165\pi\) | ||||
−0.100876 | + | 0.994899i | \(0.532165\pi\) | |||||||
\(888\) | −1.23570e7 | − | 5.41395e7i | −0.525872 | − | 2.30399i | ||||
\(889\) | 1.10396e7 | − | 1.38432e7i | 0.468487 | − | 0.587464i | ||||
\(890\) | −1.49785e6 | + | 6.56251e6i | −0.0633860 | + | 0.277712i | ||||
\(891\) | −3.76006e6 | + | 1.64739e7i | −0.158672 | + | 0.695188i | ||||
\(892\) | −304005. | − | 381210.i | −0.0127929 | − | 0.0160418i | ||||
\(893\) | −7.76902e6 | − | 3.74136e6i | −0.326015 | − | 0.157001i | ||||
\(894\) | 1.34585e7 | − | 6.48129e6i | 0.563189 | − | 0.271218i | ||||
\(895\) | 7.57996e6 | − | 9.50496e6i | 0.316307 | − | 0.396637i | ||||
\(896\) | −1.16091e7 | − | 1.45574e7i | −0.483093 | − | 0.605779i | ||||
\(897\) | 1.54757e7 | − | 7.45270e6i | 0.642198 | − | 0.309266i | ||||
\(898\) | 666494. | 0.0275807 | ||||||||
\(899\) | 1.06353e7 | + | 3.02095e7i | 0.438887 | + | 1.24665i | ||||
\(900\) | 1.00467e7 | 0.413445 | ||||||||
\(901\) | 264161. | − | 127213.i | 0.0108407 | − | 0.00522059i | ||||
\(902\) | −7.92937e6 | − | 9.94312e6i | −0.324506 | − | 0.406917i | ||||
\(903\) | −5.25938e7 | + | 6.59506e7i | −2.14642 | + | 2.69153i | ||||
\(904\) | 2.51785e7 | − | 1.21253e7i | 1.02473 | − | 0.493483i | ||||
\(905\) | 1.29773e7 | + | 6.24955e6i | 0.526701 | + | 0.253646i | ||||
\(906\) | 8.22718e6 | + | 1.03166e7i | 0.332990 | + | 0.417556i | ||||
\(907\) | 1.68778e6 | − | 7.39466e6i | 0.0681237 | − | 0.298469i | −0.929377 | − | 0.369133i | \(-0.879655\pi\) |
0.997500 | + | 0.0706638i | \(0.0225118\pi\) | |||||||
\(908\) | −4.05635e6 | + | 1.77720e7i | −0.163275 | + | 0.715356i | ||||
\(909\) | 2.58880e7 | − | 3.24625e7i | 1.03917 | − | 1.30308i | ||||
\(910\) | −2.48979e6 | − | 1.09085e7i | −0.0996687 | − | 0.436677i | ||||
\(911\) | −1.54862e7 | −0.618228 | −0.309114 | − | 0.951025i | \(-0.600032\pi\) | ||||
−0.309114 | + | 0.951025i | \(0.600032\pi\) | |||||||
\(912\) | −264203. | − | 1.15755e6i | −0.0105184 | − | 0.0460841i | ||||
\(913\) | −1.08244e7 | − | 5.21275e6i | −0.429761 | − | 0.206962i | ||||
\(914\) | −5.27598e6 | − | 2.54078e6i | −0.208900 | − | 0.100601i | ||||
\(915\) | 1.92295e6 | + | 8.42500e6i | 0.0759304 | + | 0.332673i | ||||
\(916\) | 8.35731e6 | 0.329100 | ||||||||
\(917\) | 7.52302e6 | + | 3.29605e7i | 0.295440 | + | 1.29441i | ||||
\(918\) | 576948. | − | 723469.i | 0.0225959 | − | 0.0283344i | ||||
\(919\) | −2.42173e6 | + | 1.06103e7i | −0.0945883 | + | 0.414418i | −0.999948 | − | 0.0102278i | \(-0.996744\pi\) |
0.905359 | + | 0.424646i | \(0.139601\pi\) | |||||||
\(920\) | 1.47000e6 | − | 6.44049e6i | 0.0572595 | − | 0.250870i | ||||
\(921\) | −8.13592e6 | − | 1.02021e7i | −0.316051 | − | 0.396316i | ||||
\(922\) | 1.12424e7 | + | 5.41408e6i | 0.435546 | + | 0.209748i | ||||
\(923\) | 1.08798e7 | − | 5.23943e6i | 0.420355 | − | 0.202432i | ||||
\(924\) | −1.45396e7 | + | 1.82320e7i | −0.560237 | + | 0.702515i | ||||
\(925\) | −2.18894e7 | − | 2.74484e7i | −0.841161 | − | 1.05478i | ||||
\(926\) | −2.80480e7 | + | 1.35072e7i | −1.07492 | + | 0.517653i | ||||
\(927\) | 2.09891e6 | 0.0802222 | ||||||||
\(928\) | −2.10073e7 | + | 1.32556e7i | −0.800757 | + | 0.505278i | ||||
\(929\) | 1.60849e7 | 0.611475 | 0.305737 | − | 0.952116i | \(-0.401097\pi\) | ||||
0.305737 | + | 0.952116i | \(0.401097\pi\) | |||||||
\(930\) | 1.23413e7 | − | 5.94327e6i | 0.467901 | − | 0.225329i | ||||
\(931\) | 8.99214e6 | + | 1.12758e7i | 0.340008 | + | 0.426356i | ||||
\(932\) | 1.25555e7 | − | 1.57441e7i | 0.473472 | − | 0.593715i | ||||
\(933\) | −6.67366e6 | + | 3.21387e6i | −0.250992 | + | 0.120871i | ||||
\(934\) | 8.06704e6 | + | 3.88488e6i | 0.302585 | + | 0.145717i | ||||
\(935\) | 2.03358e6 | + | 2.55003e6i | 0.0760733 | + | 0.0953929i | ||||
\(936\) | −4.98787e6 | + | 2.18533e7i | −0.186091 | + | 0.815318i | ||||
\(937\) | 8.83827e6 | − | 3.87230e7i | 0.328865 | − | 1.44085i | −0.492431 | − | 0.870351i | \(-0.663892\pi\) |
0.821296 | − | 0.570502i | \(-0.193251\pi\) | |||||||
\(938\) | −2.63042e7 | + | 3.29844e7i | −0.976153 | + | 1.22406i | ||||
\(939\) | 465766. | + | 2.04065e6i | 0.0172387 | + | 0.0755276i | ||||
\(940\) | 9.18220e6 | 0.338943 | ||||||||
\(941\) | 9.69030e6 | + | 4.24560e7i | 0.356749 | + | 1.56302i | 0.761235 | + | 0.648476i | \(0.224593\pi\) |
−0.404486 | + | 0.914544i | \(0.632549\pi\) | |||||||
\(942\) | 1.52327e7 | + | 7.33569e6i | 0.559307 | + | 0.269348i | ||||
\(943\) | 1.69639e7 | + | 8.16940e6i | 0.621223 | + | 0.299165i | ||||
\(944\) | 752400. | + | 3.29648e6i | 0.0274801 | + | 0.120398i | ||||
\(945\) | −2.60637e6 | −0.0949417 | ||||||||
\(946\) | 3.77242e6 | + | 1.65281e7i | 0.137054 | + | 0.600474i | ||||
\(947\) | −2.72058e7 | + | 3.41150e7i | −0.985795 | + | 1.23615i | −0.0141021 | + | 0.999901i | \(0.504489\pi\) |
−0.971693 | + | 0.236247i | \(0.924082\pi\) | |||||||
\(948\) | −1.49709e6 | + | 6.55920e6i | −0.0541039 | + | 0.237045i | ||||
\(949\) | −3.53994e6 | + | 1.55095e7i | −0.127594 | + | 0.559026i | ||||
\(950\) | −2.39401e6 | − | 3.00199e6i | −0.0860631 | − | 0.107920i | ||||
\(951\) | −3.51621e7 | − | 1.69332e7i | −1.26073 | − | 0.607138i | ||||
\(952\) | 2.01348e7 | − | 9.69641e6i | 0.720038 | − | 0.346752i | ||||
\(953\) | 1.16262e7 | − | 1.45788e7i | 0.414673 | − | 0.519984i | −0.530000 | − | 0.847998i | \(-0.677808\pi\) |
0.944673 | + | 0.328014i | \(0.106379\pi\) | |||||||
\(954\) | −294424. | − | 369196.i | −0.0104737 | − | 0.0131337i | ||||
\(955\) | 9.23540e6 | − | 4.44753e6i | 0.327678 | − | 0.157801i | ||||
\(956\) | 2.46701e7 | 0.873023 | ||||||||
\(957\) | 1.82705e7 | + | 1.82011e7i | 0.644868 | + | 0.642418i | ||||
\(958\) | 2.38794e6 | 0.0840639 | ||||||||
\(959\) | 7.88096e7 | − | 3.79527e7i | 2.76715 | − | 1.33259i | ||||
\(960\) | 8.04198e6 | + | 1.00843e7i | 0.281634 | + | 0.353158i | ||||
\(961\) | 1.33295e7 | − | 1.67147e7i | 0.465592 | − | 0.583834i | ||||
\(962\) | 2.52143e7 | − | 1.21426e7i | 0.878436 | − | 0.423032i | ||||
\(963\) | −1.98604e7 | − | 9.56425e6i | −0.690115 | − | 0.332342i | ||||
\(964\) | 700080. | + | 877873.i | 0.0242636 | + | 0.0304256i | ||||
\(965\) | 433191. | − | 1.89793e6i | 0.0149748 | − | 0.0656089i | ||||
\(966\) | −6.13748e6 | + | 2.68901e7i | −0.211615 | + | 0.927148i | ||||
\(967\) | 5.26339e6 | − | 6.60008e6i | 0.181009 | − | 0.226978i | −0.683046 | − | 0.730375i | \(-0.739345\pi\) |
0.864055 | + | 0.503397i | \(0.167917\pi\) | |||||||
\(968\) | −3.80746e6 | − | 1.66816e7i | −0.130601 | − | 0.572201i | ||||
\(969\) | −4.43942e6 | −0.151886 | ||||||||
\(970\) | −3.45246e6 | − | 1.51262e7i | −0.117815 | − | 0.516180i | ||||
\(971\) | 2.69360e7 | + | 1.29717e7i | 0.916821 | + | 0.441518i | 0.831935 | − | 0.554873i | \(-0.187233\pi\) |
0.0848858 | + | 0.996391i | \(0.472947\pi\) | |||||||
\(972\) | 2.02173e7 | + | 9.73616e6i | 0.686370 | + | 0.330539i | ||||
\(973\) | −2.42606e6 | − | 1.06293e7i | −0.0821523 | − | 0.359933i | ||||
\(974\) | −1.32242e7 | −0.446654 | ||||||||
\(975\) | 6.62122e6 | + | 2.90095e7i | 0.223063 | + | 0.977301i | ||||
\(976\) | 1.45047e6 | − | 1.81883e6i | 0.0487399 | − | 0.0611179i | ||||
\(977\) | 2.28422e6 | − | 1.00078e7i | 0.0765600 | − | 0.335431i | −0.922114 | − | 0.386919i | \(-0.873539\pi\) |
0.998674 | + | 0.0514880i | \(0.0163964\pi\) | |||||||
\(978\) | 1.68128e6 | − | 7.36618e6i | 0.0562074 | − | 0.246261i | ||||
\(979\) | 1.23379e7 | + | 1.54712e7i | 0.411418 | + | 0.515902i | ||||
\(980\) | −1.38367e7 | − | 6.66343e6i | −0.460223 | − | 0.221632i | ||||
\(981\) | 2.98170e7 | − | 1.43591e7i | 0.989218 | − | 0.476382i | ||||
\(982\) | 5.66681e6 | − | 7.10596e6i | 0.187525 | − | 0.235150i | ||||
\(983\) | −2.23519e7 | − | 2.80284e7i | −0.737788 | − | 0.925156i | 0.261409 | − | 0.965228i | \(-0.415813\pi\) |
−0.999197 | + | 0.0400716i | \(0.987241\pi\) | |||||||
\(984\) | −4.64826e7 | + | 2.23849e7i | −1.53039 | + | 0.736998i | ||||
\(985\) | −1.67354e7 | −0.549598 | ||||||||
\(986\) | −2.93229e6 | − | 8.32909e6i | −0.0960537 | − | 0.272838i | ||||
\(987\) | −1.07302e8 | −3.50601 | ||||||||
\(988\) | −3.45183e6 | + | 1.66232e6i | −0.112501 | + | 0.0541778i | ||||
\(989\) | −1.56490e7 | − | 1.96232e7i | −0.508739 | − | 0.637939i | ||||
\(990\) | 3.27527e6 | − | 4.10705e6i | 0.106208 | − | 0.133181i | ||||
\(991\) | 6.73948e6 | − | 3.24556e6i | 0.217993 | − | 0.104980i | −0.321701 | − | 0.946841i | \(-0.604254\pi\) |
0.539693 | + | 0.841862i | \(0.318540\pi\) | |||||||
\(992\) | 3.49449e7 | + | 1.68286e7i | 1.12747 | + | 0.542961i | ||||
\(993\) | 1.27969e6 | + | 1.60469e6i | 0.0411844 | + | 0.0516436i | ||||
\(994\) | −4.31479e6 | + | 1.89043e7i | −0.138514 | + | 0.606870i | ||||
\(995\) | 3.31752e6 | − | 1.45350e7i | 0.106232 | − | 0.465433i | ||||
\(996\) | −1.08570e7 | + | 1.36142e7i | −0.346785 | + | 0.434854i | ||||
\(997\) | −7.15316e6 | − | 3.13401e7i | −0.227908 | − | 0.998532i | −0.951342 | − | 0.308138i | \(-0.900294\pi\) |
0.723434 | − | 0.690394i | \(-0.242563\pi\) | |||||||
\(998\) | 8.22122e6 | 0.261282 | ||||||||
\(999\) | −1.45062e6 | − | 6.35558e6i | −0.0459875 | − | 0.201485i |
(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 | 29.6.d.a.20.4 | yes | 66 | |
29.4 | even | 14 | 841.6.a.h.1.12 | 33 | |||
29.16 | even | 7 | inner | 29.6.d.a.16.4 | ✓ | 66 | |
29.25 | even | 7 | 841.6.a.i.1.22 | 33 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
29.6.d.a.16.4 | ✓ | 66 | 29.16 | even | 7 | inner | |
29.6.d.a.20.4 | yes | 66 | 1.1 | even | 1 | trivial | |
841.6.a.h.1.12 | 33 | 29.4 | even | 14 | |||
841.6.a.i.1.22 | 33 | 29.25 | even | 7 |