Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [60,7,Mod(23,60)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(60, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 2, 3]))
N = Newforms(chi, 7, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("60.23");
S:= CuspForms(chi, 7);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 60 = 2^{2} \cdot 3 \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 7 \) |
Character orbit: | \([\chi]\) | \(=\) | 60.l (of order \(4\), degree \(2\), 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: | \(13.8032450172\) |
Analytic rank: | \(0\) |
Dimension: | \(136\) |
Relative dimension: | \(68\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 23.12 | ||
Character | \(\chi\) | \(=\) | 60.23 |
Dual form | 60.7.l.a.47.12 |
$q$-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 \(\left(\mathbb{Z}/60\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(37\) | \(41\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{3}{4}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −6.94862 | − | 3.96443i | −0.868577 | − | 0.495554i | ||||
\(3\) | −11.8150 | − | 24.2777i | −0.437594 | − | 0.899173i | ||||
\(4\) | 32.5666 | + | 55.0946i | 0.508853 | + | 0.860854i | ||||
\(5\) | −69.7748 | − | 103.713i | −0.558198 | − | 0.829708i | ||||
\(6\) | −14.1489 | + | 215.536i | −0.0655043 | + | 0.997852i | ||||
\(7\) | −171.027 | − | 171.027i | −0.498622 | − | 0.498622i | 0.412387 | − | 0.911009i | \(-0.364695\pi\) |
−0.911009 | + | 0.412387i | \(0.864695\pi\) | |||||||
\(8\) | −7.87369 | − | 511.939i | −0.0153783 | − | 0.999882i | ||||
\(9\) | −449.810 | + | 573.683i | −0.617023 | + | 0.786945i | ||||
\(10\) | 73.6732 | + | 997.282i | 0.0736732 | + | 0.997282i | ||||
\(11\) | −731.483 | −0.549574 | −0.274787 | − | 0.961505i | \(-0.588607\pi\) | ||||
−0.274787 | + | 0.961505i | \(0.588607\pi\) | |||||||
\(12\) | 952.794 | − | 1441.59i | 0.551385 | − | 0.834251i | ||||
\(13\) | −2740.33 | − | 2740.33i | −1.24730 | − | 1.24730i | −0.956906 | − | 0.290398i | \(-0.906212\pi\) |
−0.290398 | − | 0.956906i | \(-0.593788\pi\) | |||||||
\(14\) | 510.377 | + | 1866.43i | 0.185998 | + | 0.680186i | ||||
\(15\) | −1693.53 | + | 2919.35i | −0.501786 | + | 0.864992i | ||||
\(16\) | −1974.84 | + | 3588.49i | −0.482138 | + | 0.876095i | ||||
\(17\) | 234.776 | + | 234.776i | 0.0477867 | + | 0.0477867i | 0.730596 | − | 0.682810i | \(-0.239242\pi\) |
−0.682810 | + | 0.730596i | \(0.739242\pi\) | |||||||
\(18\) | 5399.88 | − | 2203.07i | 0.925906 | − | 0.377755i | ||||
\(19\) | 12272.9 | 1.78931 | 0.894653 | − | 0.446761i | \(-0.147423\pi\) | ||||
0.894653 | + | 0.446761i | \(0.147423\pi\) | |||||||
\(20\) | 3441.73 | − | 7221.81i | 0.430216 | − | 0.902726i | ||||
\(21\) | −2131.45 | + | 6172.84i | −0.230153 | + | 0.666541i | ||||
\(22\) | 5082.80 | + | 2899.91i | 0.477347 | + | 0.272344i | ||||
\(23\) | 8718.61 | + | 8718.61i | 0.716579 | + | 0.716579i | 0.967903 | − | 0.251324i | \(-0.0808660\pi\) |
−0.251324 | + | 0.967903i | \(0.580866\pi\) | |||||||
\(24\) | −12335.7 | + | 6239.74i | −0.892337 | + | 0.451370i | ||||
\(25\) | −5887.96 | + | 14473.2i | −0.376830 | + | 0.926283i | ||||
\(26\) | 8177.64 | + | 29905.3i | 0.465273 | + | 1.70149i | ||||
\(27\) | 19242.2 | + | 4142.23i | 0.977605 | + | 0.210447i | ||||
\(28\) | 3852.92 | − | 14992.5i | 0.175516 | − | 0.682966i | ||||
\(29\) | −8640.21 | −0.354266 | −0.177133 | − | 0.984187i | \(-0.556682\pi\) | ||||
−0.177133 | + | 0.984187i | \(0.556682\pi\) | |||||||
\(30\) | 23341.2 | − | 13571.5i | 0.864490 | − | 0.502650i | ||||
\(31\) | 10483.8i | 0.351913i | 0.984398 | + | 0.175956i | \(0.0563018\pi\) | ||||
−0.984398 | + | 0.175956i | \(0.943698\pi\) | |||||||
\(32\) | 27948.7 | − | 17105.9i | 0.852927 | − | 0.522031i | ||||
\(33\) | 8642.50 | + | 17758.7i | 0.240490 | + | 0.494162i | ||||
\(34\) | −700.615 | − | 2562.12i | −0.0178255 | − | 0.0651873i | ||||
\(35\) | −5804.45 | + | 29671.2i | −0.135381 | + | 0.692040i | ||||
\(36\) | −46255.6 | − | 6099.21i | −0.991418 | − | 0.130727i | ||||
\(37\) | 3703.02 | − | 3703.02i | 0.0731057 | − | 0.0731057i | −0.669609 | − | 0.742714i | \(-0.733538\pi\) |
0.742714 | + | 0.669609i | \(0.233538\pi\) | |||||||
\(38\) | −85279.4 | − | 48654.9i | −1.55415 | − | 0.886698i | ||||
\(39\) | −34151.6 | + | 98905.8i | −0.575729 | + | 1.66735i | ||||
\(40\) | −52545.6 | + | 36537.1i | −0.821025 | + | 0.570892i | ||||
\(41\) | − | 33255.5i | − | 0.482516i | −0.970461 | − | 0.241258i | \(-0.922440\pi\) | ||
0.970461 | − | 0.241258i | \(-0.0775599\pi\) | |||||||
\(42\) | 39282.4 | − | 34442.7i | 0.530213 | − | 0.464889i | ||||
\(43\) | 56752.0 | − | 56752.0i | 0.713799 | − | 0.713799i | −0.253529 | − | 0.967328i | \(-0.581591\pi\) |
0.967328 | + | 0.253529i | \(0.0815913\pi\) | |||||||
\(44\) | −23821.9 | − | 40300.8i | −0.279652 | − | 0.473103i | ||||
\(45\) | 90884.0 | + | 6622.70i | 0.997356 | + | 0.0726771i | ||||
\(46\) | −26018.0 | − | 95146.7i | −0.267301 | − | 0.977507i | ||||
\(47\) | −81887.4 | + | 81887.4i | −0.788721 | + | 0.788721i | −0.981284 | − | 0.192564i | \(-0.938320\pi\) |
0.192564 | + | 0.981284i | \(0.438320\pi\) | |||||||
\(48\) | 110453. | + | 5546.33i | 0.998742 | + | 0.0501512i | ||||
\(49\) | − | 59148.3i | − | 0.502752i | ||||||
\(50\) | 98291.1 | − | 77226.1i | 0.786329 | − | 0.617808i | ||||
\(51\) | 2925.92 | − | 8473.70i | 0.0220573 | − | 0.0638797i | ||||
\(52\) | 61734.3 | − | 240220.i | 0.439052 | − | 1.70844i | ||||
\(53\) | −90849.6 | + | 90849.6i | −0.610232 | + | 0.610232i | −0.943007 | − | 0.332774i | \(-0.892015\pi\) |
0.332774 | + | 0.943007i | \(0.392015\pi\) | |||||||
\(54\) | −117285. | − | 105067.i | −0.744838 | − | 0.667246i | ||||
\(55\) | 51039.1 | + | 75864.6i | 0.306771 | + | 0.455986i | ||||
\(56\) | −86209.0 | + | 88902.3i | −0.490895 | + | 0.506231i | ||||
\(57\) | −145004. | − | 297956.i | −0.782990 | − | 1.60890i | ||||
\(58\) | 60037.5 | + | 34253.5i | 0.307708 | + | 0.175558i | ||||
\(59\) | 243157.i | 1.18394i | 0.805959 | + | 0.591972i | \(0.201650\pi\) | ||||
−0.805959 | + | 0.591972i | \(0.798350\pi\) | |||||||
\(60\) | −215993. | + | 1768.77i | −0.999966 | + | 0.00818876i | ||||
\(61\) | −252831. | −1.11389 | −0.556943 | − | 0.830551i | \(-0.688026\pi\) | ||||
−0.556943 | + | 0.830551i | \(0.688026\pi\) | |||||||
\(62\) | 41562.4 | − | 72848.2i | 0.174392 | − | 0.305663i | ||||
\(63\) | 175045. | − | 21185.8i | 0.700049 | − | 0.0847271i | ||||
\(64\) | −262020. | + | 8061.70i | −0.999527 | + | 0.0307530i | ||||
\(65\) | −93003.1 | + | 475414.i | −0.338655 | + | 1.73114i | ||||
\(66\) | 10349.7 | − | 157661.i | 0.0359994 | − | 0.548394i | ||||
\(67\) | −306677. | − | 306677.i | −1.01966 | − | 1.01966i | −0.999803 | − | 0.0198611i | \(-0.993678\pi\) |
−0.0198611 | − | 0.999803i | \(-0.506322\pi\) | |||||||
\(68\) | −5289.05 | + | 20580.7i | −0.0168210 | + | 0.0654537i | ||||
\(69\) | 108657. | − | 314678.i | 0.330757 | − | 0.957899i | ||||
\(70\) | 157962. | − | 183163.i | 0.460532 | − | 0.534002i | ||||
\(71\) | −270864. | −0.756791 | −0.378396 | − | 0.925644i | \(-0.623524\pi\) | ||||
−0.378396 | + | 0.925644i | \(0.623524\pi\) | |||||||
\(72\) | 297233. | + | 225758.i | 0.796341 | + | 0.604848i | ||||
\(73\) | 380074. | + | 380074.i | 0.977011 | + | 0.977011i | 0.999742 | − | 0.0227304i | \(-0.00723595\pi\) |
−0.0227304 | + | 0.999742i | \(0.507236\pi\) | |||||||
\(74\) | −40411.3 | + | 11050.5i | −0.0997257 | + | 0.0272701i | ||||
\(75\) | 420941. | − | 28055.1i | 0.997786 | − | 0.0665009i | ||||
\(76\) | 399685. | + | 676168.i | 0.910493 | + | 1.54033i | ||||
\(77\) | 125104. | + | 125104.i | 0.274030 | + | 0.274030i | ||||
\(78\) | 629412. | − | 551867.i | 1.32633 | − | 1.16292i | ||||
\(79\) | 187653. | 0.380605 | 0.190303 | − | 0.981725i | \(-0.439053\pi\) | ||||
0.190303 | + | 0.981725i | \(0.439053\pi\) | |||||||
\(80\) | 509968. | − | 45568.5i | 0.996032 | − | 0.0890010i | ||||
\(81\) | −126784. | − | 516096.i | −0.238566 | − | 0.971126i | ||||
\(82\) | −131839. | + | 231079.i | −0.239113 | + | 0.419102i | ||||
\(83\) | 190563. | + | 190563.i | 0.333276 | + | 0.333276i | 0.853829 | − | 0.520553i | \(-0.174274\pi\) |
−0.520553 | + | 0.853829i | \(0.674274\pi\) | |||||||
\(84\) | −409504. | + | 83596.8i | −0.690909 | + | 0.141043i | ||||
\(85\) | 7967.99 | − | 40730.9i | 0.0129745 | − | 0.0663234i | ||||
\(86\) | −619338. | + | 169359.i | −0.973715 | + | 0.266264i | ||||
\(87\) | 102084. | + | 209764.i | 0.155025 | + | 0.318547i | ||||
\(88\) | 5759.47 | + | 374475.i | 0.00845151 | + | 0.549509i | ||||
\(89\) | 494793. | 0.701864 | 0.350932 | − | 0.936401i | \(-0.385865\pi\) | ||||
0.350932 | + | 0.936401i | \(0.385865\pi\) | |||||||
\(90\) | −605263. | − | 406322.i | −0.830265 | − | 0.557369i | ||||
\(91\) | 937342.i | 1.24387i | ||||||||
\(92\) | −196414. | + | 764284.i | −0.252237 | + | 0.981503i | ||||
\(93\) | 254523. | − | 123867.i | 0.316430 | − | 0.153995i | ||||
\(94\) | 893641. | − | 244367.i | 1.07592 | − | 0.294211i | ||||
\(95\) | −856336. | − | 1.27286e6i | −0.998788 | − | 1.48460i | ||||
\(96\) | −745506. | − | 476422.i | −0.842632 | − | 0.538491i | ||||
\(97\) | −1.08090e6 | + | 1.08090e6i | −1.18433 | + | 1.18433i | −0.205716 | + | 0.978612i | \(0.565952\pi\) |
−0.978612 | + | 0.205716i | \(0.934048\pi\) | |||||||
\(98\) | −234489. | + | 410999.i | −0.249141 | + | 0.436679i | ||||
\(99\) | 329028. | − | 419640.i | 0.339100 | − | 0.432485i | ||||
\(100\) | −989145. | + | 146946.i | −0.989145 | + | 0.146946i | ||||
\(101\) | − | 794558.i | − | 0.771190i | −0.922668 | − | 0.385595i | \(-0.873996\pi\) | ||
0.922668 | − | 0.385595i | \(-0.126004\pi\) | |||||||
\(102\) | −53924.5 | + | 47280.9i | −0.0508143 | + | 0.0445538i | ||||
\(103\) | −594260. | + | 594260.i | −0.543832 | + | 0.543832i | −0.924650 | − | 0.380818i | \(-0.875642\pi\) |
0.380818 | + | 0.924650i | \(0.375642\pi\) | |||||||
\(104\) | −1.38130e6 | + | 1.42446e6i | −1.22797 | + | 1.26634i | ||||
\(105\) | 788928. | − | 209649.i | 0.681506 | − | 0.181102i | ||||
\(106\) | 991446. | − | 271112.i | 0.832437 | − | 0.227631i | ||||
\(107\) | 1.61695e6 | − | 1.61695e6i | 1.31991 | − | 1.31991i | 0.406065 | − | 0.913844i | \(-0.366901\pi\) |
0.913844 | − | 0.406065i | \(-0.133099\pi\) | |||||||
\(108\) | 398438. | + | 1.19504e6i | 0.316293 | + | 0.948662i | ||||
\(109\) | 442338.i | 0.341566i | 0.985309 | + | 0.170783i | \(0.0546298\pi\) | ||||
−0.985309 | + | 0.170783i | \(0.945370\pi\) | |||||||
\(110\) | −53890.7 | − | 729495.i | −0.0404889 | − | 0.548081i | ||||
\(111\) | −133652. | − | 46149.3i | −0.0977252 | − | 0.0337440i | ||||
\(112\) | 951481. | − | 275978.i | 0.677245 | − | 0.196436i | ||||
\(113\) | −1.13834e6 | + | 1.13834e6i | −0.788923 | + | 0.788923i | −0.981318 | − | 0.192394i | \(-0.938375\pi\) |
0.192394 | + | 0.981318i | \(0.438375\pi\) | |||||||
\(114\) | −173648. | + | 2.64524e6i | −0.117207 | + | 1.78546i | ||||
\(115\) | 295898. | − | 1.51258e6i | 0.194558 | − | 0.994544i | ||||
\(116\) | −281382. | − | 476029.i | −0.180269 | − | 0.304972i | ||||
\(117\) | 2.80470e6 | − | 339454.i | 1.75117 | − | 0.211945i | ||||
\(118\) | 963980. | − | 1.68961e6i | 0.586708 | − | 1.02835i | ||||
\(119\) | − | 80306.2i | − | 0.0476550i | ||||||
\(120\) | 1.50786e6 | + | 843998.i | 0.872606 | + | 0.488425i | ||||
\(121\) | −1.23649e6 | −0.697968 | ||||||||
\(122\) | 1.75682e6 | + | 1.00233e6i | 0.967495 | + | 0.551990i | ||||
\(123\) | −807365. | + | 392915.i | −0.433865 | + | 0.211146i | ||||
\(124\) | −577603. | + | 341422.i | −0.302945 | + | 0.179072i | ||||
\(125\) | 1.91189e6 | − | 399201.i | 0.978889 | − | 0.204391i | ||||
\(126\) | −1.30031e6 | − | 546743.i | −0.650034 | − | 0.273320i | ||||
\(127\) | −2.27402e6 | − | 2.27402e6i | −1.11015 | − | 1.11015i | −0.993129 | − | 0.117025i | \(-0.962664\pi\) |
−0.117025 | − | 0.993129i | \(-0.537336\pi\) | |||||||
\(128\) | 1.85264e6 | + | 982743.i | 0.883406 | + | 0.468608i | ||||
\(129\) | −2.04833e6 | − | 707279.i | −0.954183 | − | 0.329474i | ||||
\(130\) | 2.53099e6 | − | 2.93477e6i | 1.15202 | − | 1.33581i | ||||
\(131\) | −2.13189e6 | −0.948312 | −0.474156 | − | 0.880441i | \(-0.657247\pi\) | ||||
−0.474156 | + | 0.880441i | \(0.657247\pi\) | |||||||
\(132\) | −696952. | + | 1.05450e6i | −0.303027 | + | 0.458483i | ||||
\(133\) | −2.09899e6 | − | 2.09899e6i | −0.892188 | − | 0.892188i | ||||
\(134\) | 915182. | + | 3.34678e6i | 0.380358 | + | 1.39096i | ||||
\(135\) | −913015. | − | 2.28470e6i | −0.371088 | − | 0.928598i | ||||
\(136\) | 118343. | − | 122040.i | 0.0470462 | − | 0.0485159i | ||||
\(137\) | −1.51012e6 | − | 1.51012e6i | −0.587286 | − | 0.587286i | 0.349610 | − | 0.936896i | \(-0.386314\pi\) |
−0.936896 | + | 0.349610i | \(0.886314\pi\) | |||||||
\(138\) | −2.00254e6 | + | 1.75582e6i | −0.761979 | + | 0.668101i | ||||
\(139\) | 893388. | 0.332656 | 0.166328 | − | 0.986070i | \(-0.446809\pi\) | ||||
0.166328 | + | 0.986070i | \(0.446809\pi\) | |||||||
\(140\) | −1.82376e6 | + | 646496.i | −0.664634 | + | 0.235604i | ||||
\(141\) | 2.95554e6 | + | 1.02053e6i | 1.05434 | + | 0.364057i | ||||
\(142\) | 1.88213e6 | + | 1.07382e6i | 0.657331 | + | 0.375031i | ||||
\(143\) | 2.00450e6 | + | 2.00450e6i | 0.685486 | + | 0.685486i | ||||
\(144\) | −1.17035e6 | − | 2.74707e6i | −0.391949 | − | 0.919987i | ||||
\(145\) | 602868. | + | 896106.i | 0.197751 | + | 0.293938i | ||||
\(146\) | −1.13421e6 | − | 4.14777e6i | −0.364448 | − | 1.33277i | ||||
\(147\) | −1.43598e6 | + | 698839.i | −0.452061 | + | 0.220001i | ||||
\(148\) | 324611. | + | 83421.9i | 0.100133 | + | 0.0257333i | ||||
\(149\) | 1.20683e6 | 0.364827 | 0.182413 | − | 0.983222i | \(-0.441609\pi\) | ||||
0.182413 | + | 0.983222i | \(0.441609\pi\) | |||||||
\(150\) | −3.03618e6 | − | 1.47385e6i | −0.899609 | − | 0.436696i | ||||
\(151\) | − | 19153.9i | − | 0.00556321i | −0.999996 | − | 0.00278160i | \(-0.999115\pi\) | ||
0.999996 | − | 0.00278160i | \(-0.000885413\pi\) | |||||||
\(152\) | −96632.6 | − | 6.28296e6i | −0.0275165 | − | 1.78910i | ||||
\(153\) | −240292. | + | 29082.5i | −0.0670910 | + | 0.00812004i | ||||
\(154\) | −373332. | − | 1.36526e6i | −0.102219 | − | 0.373812i | ||||
\(155\) | 1.08731e6 | − | 731507.i | 0.291985 | − | 0.196437i | ||||
\(156\) | −6.56138e6 | + | 1.33945e6i | −1.72831 | + | 0.352819i | ||||
\(157\) | −884292. | + | 884292.i | −0.228506 | + | 0.228506i | −0.812068 | − | 0.583563i | \(-0.801658\pi\) |
0.583563 | + | 0.812068i | \(0.301658\pi\) | |||||||
\(158\) | −1.30393e6 | − | 743938.i | −0.330585 | − | 0.188610i | ||||
\(159\) | 3.27901e6 | + | 1.13222e6i | 0.815738 | + | 0.281670i | ||||
\(160\) | −3.72423e6 | − | 1.70510e6i | −0.909235 | − | 0.416283i | ||||
\(161\) | − | 2.98224e6i | − | 0.714604i | ||||||
\(162\) | −1.16506e6 | + | 4.08878e6i | −0.274033 | + | 0.961720i | ||||
\(163\) | −474227. | + | 474227.i | −0.109502 | + | 0.109502i | −0.759735 | − | 0.650233i | \(-0.774671\pi\) |
0.650233 | + | 0.759735i | \(0.274671\pi\) | |||||||
\(164\) | 1.83220e6 | − | 1.08302e6i | 0.415375 | − | 0.245529i | ||||
\(165\) | 1.23879e6 | − | 2.13545e6i | 0.275769 | − | 0.475377i | ||||
\(166\) | −568675. | − | 2.07962e6i | −0.124320 | − | 0.454632i | ||||
\(167\) | −2.08514e6 | + | 2.08514e6i | −0.447698 | + | 0.447698i | −0.894588 | − | 0.446891i | \(-0.852531\pi\) |
0.446891 | + | 0.894588i | \(0.352531\pi\) | |||||||
\(168\) | 3.17690e6 | + | 1.04257e6i | 0.670002 | + | 0.219876i | ||||
\(169\) | 1.01920e7i | 2.11153i | ||||||||
\(170\) | −216841. | + | 251435.i | −0.0441362 | + | 0.0511774i | ||||
\(171\) | −5.52045e6 | + | 7.04073e6i | −1.10404 | + | 1.40809i | ||||
\(172\) | 4.97495e6 | + | 1.27851e6i | 0.977695 | + | 0.251258i | ||||
\(173\) | −585364. | + | 585364.i | −0.113054 | + | 0.113054i | −0.761371 | − | 0.648316i | \(-0.775473\pi\) |
0.648316 | + | 0.761371i | \(0.275473\pi\) | |||||||
\(174\) | 122250. | − | 1.86228e6i | 0.0232060 | − | 0.353506i | ||||
\(175\) | 3.48231e6 | − | 1.46830e6i | 0.649760 | − | 0.273969i | ||||
\(176\) | 1.44456e6 | − | 2.62492e6i | 0.264971 | − | 0.481479i | ||||
\(177\) | 5.90329e6 | − | 2.87291e6i | 1.06457 | − | 0.518087i | ||||
\(178\) | −3.43812e6 | − | 1.96157e6i | −0.609623 | − | 0.347812i | ||||
\(179\) | 5.90016e6i | 1.02874i | 0.857569 | + | 0.514368i | \(0.171974\pi\) | ||||
−0.857569 | + | 0.514368i | \(0.828026\pi\) | |||||||
\(180\) | 2.59491e6 | + | 5.22290e6i | 0.444943 | + | 0.895559i | ||||
\(181\) | −4.99634e6 | −0.842590 | −0.421295 | − | 0.906924i | \(-0.638424\pi\) | ||||
−0.421295 | + | 0.906924i | \(0.638424\pi\) | |||||||
\(182\) | 3.71603e6 | − | 6.51323e6i | 0.616403 | − | 1.08039i | ||||
\(183\) | 2.98721e6 | + | 6.13814e6i | 0.487430 | + | 1.00158i | ||||
\(184\) | 4.39476e6 | − | 4.53205e6i | 0.705474 | − | 0.727514i | ||||
\(185\) | −642431. | − | 125676.i | −0.101464 | − | 0.0198489i | ||||
\(186\) | −2.25964e6 | − | 148335.i | −0.351157 | − | 0.0230518i | ||||
\(187\) | −171735. | − | 171735.i | −0.0262623 | − | 0.0262623i | ||||
\(188\) | −7.17835e6 | − | 1.84476e6i | −1.08032 | − | 0.277631i | ||||
\(189\) | −2.58251e6 | − | 3.99938e6i | −0.382522 | − | 0.592389i | ||||
\(190\) | 904181. | + | 1.22395e7i | 0.131824 | + | 1.78444i | ||||
\(191\) | 9.85084e6 | 1.41375 | 0.706876 | − | 0.707338i | \(-0.250104\pi\) | ||||
0.706876 | + | 0.707338i | \(0.250104\pi\) | |||||||
\(192\) | 3.29150e6 | + | 6.26598e6i | 0.465039 | + | 0.885290i | ||||
\(193\) | −1.51123e6 | − | 1.51123e6i | −0.210212 | − | 0.210212i | 0.594146 | − | 0.804358i | \(-0.297490\pi\) |
−0.804358 | + | 0.594146i | \(0.797490\pi\) | |||||||
\(194\) | 1.17960e7 | − | 3.22562e6i | 1.61558 | − | 0.441782i | ||||
\(195\) | 1.26408e7 | − | 3.35914e6i | 1.70479 | − | 0.453028i | ||||
\(196\) | 3.25875e6 | − | 1.92626e6i | 0.432796 | − | 0.255827i | ||||
\(197\) | 892042. | + | 892042.i | 0.116677 | + | 0.116677i | 0.763035 | − | 0.646357i | \(-0.223708\pi\) |
−0.646357 | + | 0.763035i | \(0.723708\pi\) | |||||||
\(198\) | −3.94992e6 | + | 1.61150e6i | −0.508854 | + | 0.207604i | ||||
\(199\) | 960953. | 0.121939 | 0.0609695 | − | 0.998140i | \(-0.480581\pi\) | ||||
0.0609695 | + | 0.998140i | \(0.480581\pi\) | |||||||
\(200\) | 7.45574e6 | + | 2.90032e6i | 0.931968 | + | 0.362540i | ||||
\(201\) | −3.82200e6 | + | 1.10688e7i | −0.470655 | + | 1.36305i | ||||
\(202\) | −3.14997e6 | + | 5.52108e6i | −0.382166 | + | 0.669838i | ||||
\(203\) | 1.47771e6 | + | 1.47771e6i | 0.176645 | + | 0.176645i | ||||
\(204\) | 562143. | − | 114757.i | 0.0662150 | − | 0.0135172i | ||||
\(205\) | −3.44904e6 | + | 2.32039e6i | −0.400347 | + | 0.269339i | ||||
\(206\) | 6.48519e6 | − | 1.77338e6i | 0.741858 | − | 0.202862i | ||||
\(207\) | −8.92344e6 | + | 1.08001e6i | −1.00605 | + | 0.121763i | ||||
\(208\) | 1.52453e7 | − | 4.42192e6i | 1.69413 | − | 0.491384i | ||||
\(209\) | −8.97739e6 | −0.983357 | ||||||||
\(210\) | −6.31310e6 | − | 1.67088e6i | −0.681686 | − | 0.180421i | ||||
\(211\) | 1.21169e7i | 1.28986i | 0.764240 | + | 0.644931i | \(0.223114\pi\) | ||||
−0.764240 | + | 0.644931i | \(0.776886\pi\) | |||||||
\(212\) | −7.96398e6 | − | 2.04667e6i | −0.835839 | − | 0.214803i | ||||
\(213\) | 3.20027e6 | + | 6.57594e6i | 0.331167 | + | 0.680486i | ||||
\(214\) | −1.76458e7 | + | 4.82526e6i | −1.80053 | + | 0.492357i | ||||
\(215\) | −9.84581e6 | − | 1.92609e6i | −0.990686 | − | 0.193803i | ||||
\(216\) | 1.96907e6 | − | 9.88346e6i | 0.195389 | − | 0.980726i | ||||
\(217\) | 1.79302e6 | − | 1.79302e6i | 0.175471 | − | 0.175471i | ||||
\(218\) | 1.75362e6 | − | 3.07364e6i | 0.169265 | − | 0.296677i | ||||
\(219\) | 4.73672e6 | − | 1.37179e7i | 0.450967 | − | 1.30604i | ||||
\(220\) | −2.51757e6 | + | 5.28263e6i | −0.236436 | + | 0.496115i | ||||
\(221\) | − | 1.28673e6i | − | 0.119209i | ||||||
\(222\) | 745741. | + | 850529.i | 0.0681599 | + | 0.0777374i | ||||
\(223\) | −2.72115e6 | + | 2.72115e6i | −0.245379 | + | 0.245379i | −0.819071 | − | 0.573692i | \(-0.805511\pi\) |
0.573692 | + | 0.819071i | \(0.305511\pi\) | |||||||
\(224\) | −7.70557e6 | − | 1.85441e6i | −0.685584 | − | 0.164992i | ||||
\(225\) | −5.65455e6 | − | 9.88799e6i | −0.496421 | − | 0.868082i | ||||
\(226\) | 1.24227e7 | − | 3.39700e6i | 1.07619 | − | 0.294287i | ||||
\(227\) | −5.17471e6 | + | 5.17471e6i | −0.442394 | + | 0.442394i | −0.892816 | − | 0.450422i | \(-0.851273\pi\) |
0.450422 | + | 0.892816i | \(0.351273\pi\) | |||||||
\(228\) | 1.16935e7 | − | 1.76924e7i | 0.986597 | − | 1.49273i | ||||
\(229\) | 1.24739e6i | 0.103872i | 0.998650 | + | 0.0519359i | \(0.0165391\pi\) | ||||
−0.998650 | + | 0.0519359i | \(0.983461\pi\) | |||||||
\(230\) | −8.05259e6 | + | 9.33725e6i | −0.661839 | + | 0.767424i | ||||
\(231\) | 1.55912e6 | − | 4.51533e6i | 0.126486 | − | 0.366314i | ||||
\(232\) | 68030.3 | + | 4.42326e6i | 0.00544801 | + | 0.354225i | ||||
\(233\) | 9.58874e6 | − | 9.58874e6i | 0.758043 | − | 0.758043i | −0.217923 | − | 0.975966i | \(-0.569928\pi\) |
0.975966 | + | 0.217923i | \(0.0699282\pi\) | |||||||
\(234\) | −2.08346e7 | − | 8.76032e6i | −1.62606 | − | 0.683711i | ||||
\(235\) | 1.42065e7 | + | 2.77915e6i | 1.09467 | + | 0.214145i | ||||
\(236\) | −1.33967e7 | + | 7.91879e6i | −1.01920 | + | 0.602453i | ||||
\(237\) | −2.21713e6 | − | 4.55578e6i | −0.166551 | − | 0.342230i | ||||
\(238\) | −318369. | + | 558017.i | −0.0236156 | + | 0.0413920i | ||||
\(239\) | − | 601286.i | − | 0.0440441i | −0.999757 | − | 0.0220220i | \(-0.992990\pi\) | ||
0.999757 | − | 0.0220220i | \(-0.00701040\pi\) | |||||||
\(240\) | −7.13159e6 | − | 1.18424e7i | −0.515885 | − | 0.856658i | ||||
\(241\) | 1.26027e7 | 0.900351 | 0.450176 | − | 0.892940i | \(-0.351361\pi\) | ||||
0.450176 | + | 0.892940i | \(0.351361\pi\) | |||||||
\(242\) | 8.59192e6 | + | 4.90199e6i | 0.606239 | + | 0.345881i | ||||
\(243\) | −1.10317e7 | + | 9.17571e6i | −0.768815 | + | 0.639471i | ||||
\(244\) | −8.23383e6 | − | 1.39296e7i | −0.566803 | − | 0.958892i | ||||
\(245\) | −6.13447e6 | + | 4.12706e6i | −0.417137 | + | 0.280635i | ||||
\(246\) | 7.16775e6 | + | 470529.i | 0.481479 | + | 0.0316068i | ||||
\(247\) | −3.36316e7 | − | 3.36316e7i | −2.23181 | − | 2.23181i | ||||
\(248\) | 5.36709e6 | − | 82546.4i | 0.351871 | − | 0.00541182i | ||||
\(249\) | 2.37491e6 | − | 6.87793e6i | 0.153833 | − | 0.445512i | ||||
\(250\) | −1.48676e7 | − | 4.80568e6i | −0.951528 | − | 0.307563i | ||||
\(251\) | 1.55766e7 | 0.985034 | 0.492517 | − | 0.870303i | \(-0.336077\pi\) | ||||
0.492517 | + | 0.870303i | \(0.336077\pi\) | |||||||
\(252\) | 6.86784e6 | + | 8.95411e6i | 0.429160 | + | 0.559527i | ||||
\(253\) | −6.37752e6 | − | 6.37752e6i | −0.393813 | − | 0.393813i | ||||
\(254\) | 6.78610e6 | + | 2.48165e7i | 0.414113 | + | 1.51440i | ||||
\(255\) | −1.08299e6 | + | 287793.i | −0.0653138 | + | 0.0173564i | ||||
\(256\) | −8.97725e6 | − | 1.41734e7i | −0.535086 | − | 0.844798i | ||||
\(257\) | 2.52536e6 | + | 2.52536e6i | 0.148773 | + | 0.148773i | 0.777570 | − | 0.628797i | \(-0.216452\pi\) |
−0.628797 | + | 0.777570i | \(0.716452\pi\) | |||||||
\(258\) | 1.14291e7 | + | 1.30351e7i | 0.665509 | + | 0.759023i | ||||
\(259\) | −1.26664e6 | −0.0729042 | ||||||||
\(260\) | −2.92216e7 | + | 1.03586e7i | −1.66258 | + | 0.589363i | ||||
\(261\) | 3.88645e6 | − | 4.95674e6i | 0.218590 | − | 0.278788i | ||||
\(262\) | 1.48137e7 | + | 8.45174e6i | 0.823683 | + | 0.469940i | ||||
\(263\) | −2.21732e7 | − | 2.21732e7i | −1.21888 | − | 1.21888i | −0.968023 | − | 0.250860i | \(-0.919287\pi\) |
−0.250860 | − | 0.968023i | \(-0.580713\pi\) | |||||||
\(264\) | 9.02333e6 | − | 4.56426e6i | 0.490405 | − | 0.248061i | ||||
\(265\) | 1.57613e7 | + | 3.08332e6i | 0.846945 | + | 0.165684i | ||||
\(266\) | 6.26379e6 | + | 2.29064e7i | 0.332807 | + | 1.21706i | ||||
\(267\) | −5.84600e6 | − | 1.20124e7i | −0.307132 | − | 0.631097i | ||||
\(268\) | 6.90884e6 | − | 2.68837e7i | 0.358923 | − | 1.39664i | ||||
\(269\) | 2.39875e7 | 1.23233 | 0.616166 | − | 0.787617i | \(-0.288685\pi\) | ||||
0.616166 | + | 0.787617i | \(0.288685\pi\) | |||||||
\(270\) | −2.71334e6 | + | 1.94951e7i | −0.137852 | + | 0.990453i | ||||
\(271\) | 1.19982e7i | 0.602848i | 0.953490 | + | 0.301424i | \(0.0974619\pi\) | ||||
−0.953490 | + | 0.301424i | \(0.902538\pi\) | |||||||
\(272\) | −1.30613e6 | + | 378846.i | −0.0649055 | + | 0.0188259i | ||||
\(273\) | 2.27565e7 | − | 1.10747e7i | 1.11845 | − | 0.544309i | ||||
\(274\) | 4.50648e6 | + | 1.64800e7i | 0.219071 | + | 0.801135i | ||||
\(275\) | 4.30695e6 | − | 1.05869e7i | 0.207096 | − | 0.509061i | ||||
\(276\) | 2.08757e7 | − | 4.26159e6i | 0.992917 | − | 0.202696i | ||||
\(277\) | 7.70615e6 | − | 7.70615e6i | 0.362575 | − | 0.362575i | −0.502185 | − | 0.864760i | \(-0.667470\pi\) |
0.864760 | + | 0.502185i | \(0.167470\pi\) | |||||||
\(278\) | −6.20781e6 | − | 3.54178e6i | −0.288938 | − | 0.164849i | ||||
\(279\) | −6.01440e6 | − | 4.71573e6i | −0.276936 | − | 0.217138i | ||||
\(280\) | 1.52356e7 | + | 2.73790e6i | 0.694041 | + | 0.124722i | ||||
\(281\) | 2.02190e7i | 0.911256i | 0.890170 | + | 0.455628i | \(0.150585\pi\) | ||||
−0.890170 | + | 0.455628i | \(0.849415\pi\) | |||||||
\(282\) | −1.64911e7 | − | 1.88083e7i | −0.735362 | − | 0.838692i | ||||
\(283\) | −618047. | + | 618047.i | −0.0272686 | + | 0.0272686i | −0.720610 | − | 0.693341i | \(-0.756138\pi\) |
0.693341 | + | 0.720610i | \(0.256138\pi\) | |||||||
\(284\) | −8.82111e6 | − | 1.49231e7i | −0.385095 | − | 0.651486i | ||||
\(285\) | −2.07844e7 | + | 3.58287e7i | −0.897849 | + | 1.54774i | ||||
\(286\) | −5.98181e6 | − | 2.18752e7i | −0.255702 | − | 0.935092i | ||||
\(287\) | −5.68759e6 | + | 5.68759e6i | −0.240593 | + | 0.240593i | ||||
\(288\) | −2.75822e6 | + | 2.37281e7i | −0.115465 | + | 0.993312i | ||||
\(289\) | − | 2.40273e7i | − | 0.995433i | ||||||
\(290\) | −636552. | − | 8.61672e6i | −0.0261000 | − | 0.353304i | ||||
\(291\) | 3.90127e7 | + | 1.34709e7i | 1.58317 | + | 0.546660i | ||||
\(292\) | −8.56233e6 | + | 3.33177e7i | −0.343909 | + | 1.33822i | ||||
\(293\) | −2.95161e7 | + | 2.95161e7i | −1.17343 | + | 1.17343i | −0.192042 | + | 0.981387i | \(0.561511\pi\) |
−0.981387 | + | 0.192042i | \(0.938489\pi\) | |||||||
\(294\) | 1.27486e7 | + | 836884.i | 0.501672 | + | 0.0329324i | ||||
\(295\) | 2.52187e7 | − | 1.69662e7i | 0.982327 | − | 0.660875i | ||||
\(296\) | −1.92488e6 | − | 1.86657e6i | −0.0742213 | − | 0.0719728i | ||||
\(297\) | −1.40753e7 | − | 3.02997e6i | −0.537266 | − | 0.115656i | ||||
\(298\) | −8.38579e6 | − | 4.78439e6i | −0.316880 | − | 0.180791i | ||||
\(299\) | − | 4.77837e7i | − | 1.78758i | ||||||
\(300\) | 1.52543e7 | + | 2.22779e7i | 0.564974 | + | 0.825109i | ||||
\(301\) | −1.94123e7 | −0.711832 | ||||||||
\(302\) | −75934.1 | + | 133093.i | −0.00275687 | + | 0.00483208i | ||||
\(303\) | −1.92900e7 | + | 9.38773e6i | −0.693433 | + | 0.337468i | ||||
\(304\) | −2.42369e7 | + | 4.40410e7i | −0.862693 | + | 1.56760i | ||||
\(305\) | 1.76412e7 | + | 2.62220e7i | 0.621769 | + | 0.924199i | ||||
\(306\) | 1.78499e6 | + | 750536.i | 0.0622976 | + | 0.0261943i | ||||
\(307\) | 2.70580e7 | + | 2.70580e7i | 0.935148 | + | 0.935148i | 0.998021 | − | 0.0628740i | \(-0.0200266\pi\) |
−0.0628740 | + | 0.998021i | \(0.520027\pi\) | |||||||
\(308\) | −2.81834e6 | + | 1.09667e7i | −0.0964588 | + | 0.375340i | ||||
\(309\) | 2.14485e7 | + | 7.40604e6i | 0.726977 | + | 0.251021i | ||||
\(310\) | −1.04553e7 | + | 772378.i | −0.350956 | + | 0.0259266i | ||||
\(311\) | −1.19741e6 | −0.0398072 | −0.0199036 | − | 0.999802i | \(-0.506336\pi\) | ||||
−0.0199036 | + | 0.999802i | \(0.506336\pi\) | |||||||
\(312\) | 5.09027e7 | + | 1.67048e7i | 1.67601 | + | 0.550019i | ||||
\(313\) | −2.49447e7 | − | 2.49447e7i | −0.813478 | − | 0.813478i | 0.171676 | − | 0.985154i | \(-0.445082\pi\) |
−0.985154 | + | 0.171676i | \(0.945082\pi\) | |||||||
\(314\) | 9.65032e6 | − | 2.63889e6i | 0.311712 | − | 0.0852379i | ||||
\(315\) | −1.44110e7 | − | 1.66763e7i | −0.461065 | − | 0.533542i | ||||
\(316\) | 6.11122e6 | + | 1.03387e7i | 0.193672 | + | 0.327645i | ||||
\(317\) | −2.80656e7 | − | 2.80656e7i | −0.881042 | − | 0.881042i | 0.112598 | − | 0.993641i | \(-0.464083\pi\) |
−0.993641 | + | 0.112598i | \(0.964083\pi\) | |||||||
\(318\) | −1.82959e7 | − | 2.08668e7i | −0.568949 | − | 0.648895i | ||||
\(319\) | 6.32016e6 | 0.194696 | ||||||||
\(320\) | 1.91185e7 | + | 2.66125e7i | 0.583450 | + | 0.812149i | ||||
\(321\) | −5.83599e7 | − | 2.01514e7i | −1.76441 | − | 0.609242i | ||||
\(322\) | −1.18229e7 | + | 2.07225e7i | −0.354125 | + | 0.620689i | ||||
\(323\) | 2.88137e6 | + | 2.88137e6i | 0.0855050 | + | 0.0855050i | ||||
\(324\) | 2.43052e7 | − | 2.37926e7i | 0.714603 | − | 0.699530i | ||||
\(325\) | 5.57961e7 | − | 2.35263e7i | 1.62538 | − | 0.685335i | ||||
\(326\) | 5.17526e6 | − | 1.41518e6i | 0.149376 | − | 0.0408469i | ||||
\(327\) | 1.07389e7 | − | 5.22625e6i | 0.307127 | − | 0.149467i | ||||
\(328\) | −1.70248e7 | + | 261843.i | −0.482459 | + | 0.00742027i | ||||
\(329\) | 2.80100e7 | 0.786547 | ||||||||
\(330\) | −1.70737e7 | + | 9.92736e6i | −0.475101 | + | 0.276243i | ||||
\(331\) | 2.13604e7i | 0.589015i | 0.955649 | + | 0.294507i | \(0.0951555\pi\) | ||||
−0.955649 | + | 0.294507i | \(0.904844\pi\) | |||||||
\(332\) | −4.29301e6 | + | 1.67050e7i | −0.117313 | + | 0.456490i | ||||
\(333\) | 458706. | + | 3.79002e6i | 0.0124223 | + | 0.102638i | ||||
\(334\) | 2.27552e7 | − | 6.22243e6i | 0.610718 | − | 0.167002i | ||||
\(335\) | −1.04082e7 | + | 5.32049e7i | −0.276848 | + | 1.41520i | ||||
\(336\) | −1.79419e7 | − | 1.98390e7i | −0.472988 | − | 0.523001i | ||||
\(337\) | −1.83682e7 | + | 1.83682e7i | −0.479929 | + | 0.479929i | −0.905109 | − | 0.425180i | \(-0.860211\pi\) |
0.425180 | + | 0.905109i | \(0.360211\pi\) | |||||||
\(338\) | 4.04054e7 | − | 7.08201e7i | 1.04638 | − | 1.83403i | ||||
\(339\) | 4.10856e7 | + | 1.41866e7i | 1.05461 | + | 0.364150i | ||||
\(340\) | 2.50354e6 | − | 887471.i | 0.0636969 | − | 0.0225797i | ||||
\(341\) | − | 7.66875e6i | − | 0.193402i | ||||||
\(342\) | 6.62720e7 | − | 2.70379e7i | 1.65673 | − | 0.675919i | ||||
\(343\) | −3.02372e7 | + | 3.02372e7i | −0.749305 | + | 0.749305i | ||||
\(344\) | −2.95004e7 | − | 2.86067e7i | −0.724692 | − | 0.702738i | ||||
\(345\) | −4.02179e7 | + | 1.06874e7i | −0.979404 | + | 0.260265i | ||||
\(346\) | 6.38811e6 | − | 1.74684e6i | 0.154221 | − | 0.0421719i | ||||
\(347\) | −1.29367e7 | + | 1.29367e7i | −0.309623 | + | 0.309623i | −0.844763 | − | 0.535140i | \(-0.820259\pi\) |
0.535140 | + | 0.844763i | \(0.320259\pi\) | |||||||
\(348\) | −8.23233e6 | + | 1.24556e7i | −0.195337 | + | 0.295547i | ||||
\(349\) | 3.93346e7i | 0.925334i | 0.886532 | + | 0.462667i | \(0.153108\pi\) | ||||
−0.886532 | + | 0.462667i | \(0.846892\pi\) | |||||||
\(350\) | −3.00182e7 | − | 3.60270e6i | −0.700134 | − | 0.0840279i | ||||
\(351\) | −4.13788e7 | − | 6.40810e7i | −0.956879 | − | 1.48186i | ||||
\(352\) | −2.04440e7 | + | 1.25127e7i | −0.468746 | + | 0.286895i | ||||
\(353\) | −4.05793e6 | + | 4.05793e6i | −0.0922529 | + | 0.0922529i | −0.751727 | − | 0.659474i | \(-0.770779\pi\) |
0.659474 | + | 0.751727i | \(0.270779\pi\) | |||||||
\(354\) | −5.24092e7 | − | 3.44041e6i | −1.18140 | − | 0.0775534i | ||||
\(355\) | 1.88995e7 | + | 2.80922e7i | 0.422439 | + | 0.627915i | ||||
\(356\) | 1.61137e7 | + | 2.72604e7i | 0.357146 | + | 0.604203i | ||||
\(357\) | −1.94965e6 | + | 948822.i | −0.0428501 | + | 0.0208535i | ||||
\(358\) | 2.33908e7 | − | 4.09979e7i | 0.509795 | − | 0.893537i | ||||
\(359\) | 3.30671e7i | 0.714683i | 0.933974 | + | 0.357341i | \(0.116317\pi\) | ||||
−0.933974 | + | 0.357341i | \(0.883683\pi\) | |||||||
\(360\) | 2.67483e6 | − | 4.65793e7i | 0.0573309 | − | 0.998355i | ||||
\(361\) | 1.03577e8 | 2.20162 | ||||||||
\(362\) | 3.47177e7 | + | 1.98077e7i | 0.731855 | + | 0.417549i | ||||
\(363\) | 1.46092e7 | + | 3.00192e7i | 0.305427 | + | 0.627594i | ||||
\(364\) | −5.16425e7 | + | 3.05260e7i | −1.07079 | + | 0.632945i | ||||
\(365\) | 1.28992e7 | − | 6.59384e7i | 0.265268 | − | 1.35600i | ||||
\(366\) | 3.57728e6 | − | 5.44942e7i | 0.0729642 | − | 1.11149i | ||||
\(367\) | −6.43769e7 | − | 6.43769e7i | −1.30236 | − | 1.30236i | −0.926794 | − | 0.375569i | \(-0.877447\pi\) |
−0.375569 | − | 0.926794i | \(-0.622553\pi\) | |||||||
\(368\) | −4.85045e7 | + | 1.40688e7i | −0.973281 | + | 0.282301i | ||||
\(369\) | 1.90781e7 | + | 1.49586e7i | 0.379713 | + | 0.297723i | ||||
\(370\) | 3.96577e6 | + | 3.42014e6i | 0.0782929 | + | 0.0675211i | ||||
\(371\) | 3.10755e7 | 0.608551 | ||||||||
\(372\) | 1.51133e7 | + | 9.98893e6i | 0.293584 | + | 0.194039i | ||||
\(373\) | −6.42553e6 | − | 6.42553e6i | −0.123818 | − | 0.123818i | 0.642483 | − | 0.766300i | \(-0.277904\pi\) |
−0.766300 | + | 0.642483i | \(0.777904\pi\) | |||||||
\(374\) | 512488. | + | 1.87415e6i | 0.00979646 | + | 0.0358253i | ||||
\(375\) | −3.22808e7 | − | 4.16997e7i | −0.612139 | − | 0.790750i | ||||
\(376\) | 4.25661e7 | + | 4.12766e7i | 0.800757 | + | 0.776498i | ||||
\(377\) | 2.36770e7 | + | 2.36770e7i | 0.441878 | + | 0.441878i | ||||
\(378\) | 2.08960e6 | + | 3.80283e7i | 0.0386889 | + | 0.704096i | ||||
\(379\) | 5.07408e7 | 0.932051 | 0.466026 | − | 0.884771i | \(-0.345685\pi\) | ||||
0.466026 | + | 0.884771i | \(0.345685\pi\) | |||||||
\(380\) | 4.22399e7 | − | 8.86322e7i | 0.769789 | − | 1.61525i | ||||
\(381\) | −2.83402e7 | + | 8.20755e7i | −0.512423 | + | 1.48402i | ||||
\(382\) | −6.84497e7 | − | 3.90530e7i | −1.22795 | − | 0.700590i | ||||
\(383\) | 6.21131e7 | + | 6.21131e7i | 1.10557 | + | 1.10557i | 0.993726 | + | 0.111846i | \(0.0356764\pi\) |
0.111846 | + | 0.993726i | \(0.464324\pi\) | |||||||
\(384\) | 1.96971e6 | − | 5.65888e7i | 0.0347864 | − | 0.999395i | ||||
\(385\) | 4.24585e6 | − | 2.17040e7i | 0.0744017 | − | 0.380327i | ||||
\(386\) | 4.50978e6 | + | 1.64921e7i | 0.0784140 | + | 0.286757i | ||||
\(387\) | 7.03007e6 | + | 5.80853e7i | 0.121291 | + | 1.00215i | ||||
\(388\) | −9.47533e7 | − | 2.43507e7i | −1.62218 | − | 0.416885i | ||||
\(389\) | −1.11570e8 | −1.89538 | −0.947691 | − | 0.319188i | \(-0.896590\pi\) | ||||
−0.947691 | + | 0.319188i | \(0.896590\pi\) | |||||||
\(390\) | −1.01153e8 | − | 2.67721e7i | −1.70524 | − | 0.451325i | ||||
\(391\) | 4.09384e6i | 0.0684859i | ||||||||
\(392\) | −3.02803e7 | + | 465715.i | −0.502693 | + | 0.00773147i | ||||
\(393\) | 2.51884e7 | + | 5.17574e7i | 0.414976 | + | 0.852697i | ||||
\(394\) | −2.66202e6 | − | 9.73490e6i | −0.0435234 | − | 0.159163i | ||||
\(395\) | −1.30935e7 | − | 1.94622e7i | −0.212453 | − | 0.315791i | ||||
\(396\) | 3.38352e7 | + | 4.46147e6i | 0.544858 | + | 0.0718443i | ||||
\(397\) | 3.30134e7 | − | 3.30134e7i | 0.527618 | − | 0.527618i | −0.392244 | − | 0.919861i | \(-0.628301\pi\) |
0.919861 | + | 0.392244i | \(0.128301\pi\) | |||||||
\(398\) | −6.67729e6 | − | 3.80963e6i | −0.105913 | − | 0.0604274i | ||||
\(399\) | −2.61590e7 | + | 7.57584e7i | −0.411815 | + | 1.19265i | ||||
\(400\) | −4.03090e7 | − | 4.97110e7i | −0.629828 | − | 0.776735i | ||||
\(401\) | − | 9.67635e7i | − | 1.50065i | −0.661071 | − | 0.750323i | \(-0.729898\pi\) | ||
0.661071 | − | 0.750323i | \(-0.270102\pi\) | |||||||
\(402\) | 7.04391e7 | − | 6.17608e7i | 1.08427 | − | 0.950682i | ||||
\(403\) | 2.87291e7 | − | 2.87291e7i | 0.438942 | − | 0.438942i | ||||
\(404\) | 4.37759e7 | − | 2.58760e7i | 0.663882 | − | 0.392422i | ||||
\(405\) | −4.46798e7 | + | 4.91597e7i | −0.672584 | + | 0.740021i | ||||
\(406\) | −4.40977e6 | − | 1.61263e7i | −0.0658927 | − | 0.240967i | ||||
\(407\) | −2.70870e6 | + | 2.70870e6i | −0.0401770 | + | 0.0401770i | ||||
\(408\) | −4.36106e6 | − | 1.43118e6i | −0.0642113 | − | 0.0210723i | ||||
\(409\) | − | 1.32073e7i | − | 0.193039i | −0.995331 | − | 0.0965195i | \(-0.969229\pi\) | ||
0.995331 | − | 0.0965195i | \(-0.0307710\pi\) | |||||||
\(410\) | 3.31651e7 | − | 2.45004e6i | 0.481204 | − | 0.0355485i | ||||
\(411\) | −1.88200e7 | + | 5.45043e7i | −0.271079 | + | 0.785064i | ||||
\(412\) | −5.20936e7 | − | 1.33875e7i | −0.744890 | − | 0.191430i | ||||
\(413\) | 4.15865e7 | − | 4.15865e7i | 0.590340 | − | 0.590340i | ||||
\(414\) | 6.62872e7 | + | 2.78718e7i | 0.934175 | + | 0.392793i | ||||
\(415\) | 6.46745e6 | − | 3.30604e7i | 0.0904876 | − | 0.462556i | ||||
\(416\) | −1.23464e8 | − | 2.97128e7i | −1.71499 | − | 0.412727i | ||||
\(417\) | −1.05554e7 | − | 2.16894e7i | −0.145568 | − | 0.299115i | ||||
\(418\) | 6.23804e7 | + | 3.55902e7i | 0.854121 | + | 0.487306i | ||||
\(419\) | 3.16843e7i | 0.430726i | 0.976534 | + | 0.215363i | \(0.0690935\pi\) | ||||
−0.976534 | + | 0.215363i | \(0.930906\pi\) | |||||||
\(420\) | 3.72432e7 | + | 3.66382e7i | 0.502688 | + | 0.494522i | ||||
\(421\) | −2.21956e7 | −0.297455 | −0.148728 | − | 0.988878i | \(-0.547518\pi\) | ||||
−0.148728 | + | 0.988878i | \(0.547518\pi\) | |||||||
\(422\) | 4.80365e7 | − | 8.41956e7i | 0.639197 | − | 1.12035i | ||||
\(423\) | −1.01437e7 | − | 8.38111e7i | −0.134021 | − | 1.10734i | ||||
\(424\) | 4.72248e7 | + | 4.57942e7i | 0.619545 | + | 0.600776i | ||||
\(425\) | −4.78030e6 | + | 2.01560e6i | −0.0622714 | + | 0.0262565i | ||||
\(426\) | 3.83243e6 | − | 5.83809e7i | 0.0495730 | − | 0.755166i | ||||
\(427\) | 4.32410e7 | + | 4.32410e7i | 0.555408 | + | 0.555408i | ||||
\(428\) | 1.41743e8 | + | 3.64267e7i | 1.80789 | + | 0.464609i | ||||
\(429\) | 2.49813e7 | − | 7.23479e7i | 0.316405 | − | 0.916335i | ||||
\(430\) | 6.07789e7 | + | 5.24167e7i | 0.764447 | + | 0.659271i | ||||
\(431\) | −8.32650e7 | −1.03999 | −0.519997 | − | 0.854168i | \(-0.674067\pi\) | ||||
−0.519997 | + | 0.854168i | \(0.674067\pi\) | |||||||
\(432\) | −5.28646e7 | + | 6.08701e7i | −0.655713 | + | 0.755011i | ||||
\(433\) | −2.08256e7 | − | 2.08256e7i | −0.256527 | − | 0.256527i | 0.567113 | − | 0.823640i | \(-0.308060\pi\) |
−0.823640 | + | 0.567113i | \(0.808060\pi\) | |||||||
\(434\) | −1.95673e7 | + | 5.35071e6i | −0.239366 | + | 0.0654549i | ||||
\(435\) | 1.46324e7 | − | 2.52238e7i | 0.177766 | − | 0.306438i | ||||
\(436\) | −2.43705e7 | + | 1.44054e7i | −0.294039 | + | 0.173807i | ||||
\(437\) | 1.07002e8 | + | 1.07002e8i | 1.28218 | + | 1.28218i | ||||
\(438\) | −8.72973e7 | + | 7.65420e7i | −1.03891 | + | 0.910914i | ||||
\(439\) | −1.34397e8 | −1.58853 | −0.794266 | − | 0.607570i | \(-0.792144\pi\) | ||||
−0.794266 | + | 0.607570i | \(0.792144\pi\) | |||||||
\(440\) | 3.84362e7 | − | 2.67262e7i | 0.451214 | − | 0.313747i | ||||
\(441\) | 3.39324e7 | + | 2.66055e7i | 0.395638 | + | 0.310209i | ||||
\(442\) | −5.10114e6 | + | 8.94096e6i | −0.0590745 | + | 0.103542i | ||||
\(443\) | −5.93953e6 | − | 5.93953e6i | −0.0683189 | − | 0.0683189i | 0.672122 | − | 0.740441i | \(-0.265383\pi\) |
−0.740441 | + | 0.672122i | \(0.765383\pi\) | |||||||
\(444\) | −1.81001e6 | − | 8.86644e6i | −0.0206791 | − | 0.101298i | ||||
\(445\) | −3.45240e7 | − | 5.13167e7i | −0.391779 | − | 0.582342i | ||||
\(446\) | 2.96960e7 | − | 8.12041e6i | 0.334729 | − | 0.0915321i | ||||
\(447\) | −1.42587e7 | − | 2.92990e7i | −0.159646 | − | 0.328042i | ||||
\(448\) | 4.61914e7 | + | 4.34338e7i | 0.513720 | + | 0.483052i | ||||
\(449\) | −1.59537e8 | −1.76248 | −0.881238 | − | 0.472672i | \(-0.843290\pi\) | ||||
−0.881238 | + | 0.472672i | \(0.843290\pi\) | |||||||
\(450\) | 91016.2 | + | 9.11250e7i | 0.000998807 | + | 1.00000i | ||||
\(451\) | 2.43258e7i | 0.265178i | ||||||||
\(452\) | −9.97878e7 | − | 2.56445e7i | −1.08059 | − | 0.277702i | ||||
\(453\) | −465011. | + | 226304.i | −0.00500228 | + | 0.00243443i | ||||
\(454\) | 5.64719e7 | − | 1.54423e7i | 0.603483 | − | 0.165023i | ||||
\(455\) | 9.72149e7 | − | 6.54028e7i | 1.03205 | − | 0.694324i | ||||
\(456\) | −1.51394e8 | + | 7.65794e7i | −1.59666 | + | 0.807640i | ||||
\(457\) | −7.72421e7 | + | 7.72421e7i | −0.809292 | + | 0.809292i | −0.984527 | − | 0.175235i | \(-0.943932\pi\) |
0.175235 | + | 0.984527i | \(0.443932\pi\) | |||||||
\(458\) | 4.94521e6 | − | 8.66767e6i | 0.0514741 | − | 0.0902206i | ||||
\(459\) | 3.54511e6 | + | 5.49010e6i | 0.0366599 | + | 0.0567731i | ||||
\(460\) | 9.29713e7 | − | 3.29570e7i | 0.955158 | − | 0.338590i | ||||
\(461\) | − | 6.20058e7i | − | 0.632892i | −0.948611 | − | 0.316446i | \(-0.897510\pi\) | ||
0.948611 | − | 0.316446i | \(-0.102490\pi\) | |||||||
\(462\) | −2.87344e7 | + | 2.51943e7i | −0.291391 | + | 0.255491i | ||||
\(463\) | 1.23514e8 | − | 1.23514e8i | 1.24444 | − | 1.24444i | 0.286296 | − | 0.958141i | \(-0.407576\pi\) |
0.958141 | − | 0.286296i | \(-0.0924241\pi\) | |||||||
\(464\) | 1.70630e7 | − | 3.10053e7i | 0.170805 | − | 0.310371i | ||||
\(465\) | −3.06059e7 | − | 1.77547e7i | −0.304402 | − | 0.176585i | ||||
\(466\) | −1.04642e8 | + | 2.86146e7i | −1.03407 | + | 0.282768i | ||||
\(467\) | 5.11427e7 | − | 5.11427e7i | 0.502150 | − | 0.502150i | −0.409956 | − | 0.912105i | \(-0.634456\pi\) |
0.912105 | + | 0.409956i | \(0.134456\pi\) | |||||||
\(468\) | 1.10042e8 | + | 1.43469e8i | 1.07354 | + | 1.39966i | ||||
\(469\) | 1.04900e8i | 1.01685i | ||||||||
\(470\) | −8.76977e7 | − | 7.56319e7i | −0.844685 | − | 0.728470i | ||||
\(471\) | 3.19165e7 | + | 1.10206e7i | 0.305459 | + | 0.105473i | ||||
\(472\) | 1.24482e8 | − | 1.91454e6i | 1.18380 | − | 0.0182070i | ||||
\(473\) | −4.15131e7 | + | 4.15131e7i | −0.392285 | + | 0.392285i | ||||
\(474\) | −2.65509e6 | + | 4.04460e7i | −0.0249313 | + | 0.379788i | ||||
\(475\) | −7.22621e7 | + | 1.77627e8i | −0.674264 | + | 1.65740i | ||||
\(476\) | 4.42444e6 | − | 2.61530e6i | 0.0410240 | − | 0.0242494i | ||||
\(477\) | −1.12539e7 | − | 9.29839e7i | −0.103692 | − | 0.856747i | ||||
\(478\) | −2.38376e6 | + | 4.17811e6i | −0.0218262 | + | 0.0382557i | ||||
\(479\) | − | 1.73444e8i | − | 1.57816i | −0.614288 | − | 0.789082i | \(-0.710557\pi\) | ||
0.614288 | − | 0.789082i | \(-0.289443\pi\) | |||||||
\(480\) | 2.60616e6 | + | 1.10561e8i | 0.0235656 | + | 0.999722i | ||||
\(481\) | −2.02950e7 | −0.182370 | ||||||||
\(482\) | −8.75713e7 | − | 4.99625e7i | −0.782025 | − | 0.446173i | ||||
\(483\) | −7.24019e7 | + | 3.52353e7i | −0.642552 | + | 0.312707i | ||||
\(484\) | −4.02683e7 | − | 6.81242e7i | −0.355163 | − | 0.600849i | ||||
\(485\) | 1.87524e8 | + | 3.66845e7i | 1.64374 | + | 0.321556i | ||||
\(486\) | 1.13031e8 | − | 2.00243e7i | 0.984668 | − | 0.174441i | ||||
\(487\) | 6.73024e7 | + | 6.73024e7i | 0.582698 | + | 0.582698i | 0.935644 | − | 0.352946i | \(-0.114820\pi\) |
−0.352946 | + | 0.935644i | \(0.614820\pi\) | |||||||
\(488\) | 1.99071e6 | + | 1.29434e8i | 0.0171297 | + | 1.11375i | ||||
\(489\) | 1.71161e7 | + | 5.91011e6i | 0.146379 | + | 0.0505439i | ||||
\(490\) | 5.89875e7 | − | 4.35765e6i | 0.501386 | − | 0.0370394i | ||||
\(491\) | −1.04997e8 | −0.887014 | −0.443507 | − | 0.896271i | \(-0.646266\pi\) | ||||
−0.443507 | + | 0.896271i | \(0.646266\pi\) | |||||||
\(492\) | −4.79406e7 | − | 3.16856e7i | −0.402539 | − | 0.266052i | ||||
\(493\) | −2.02851e6 | − | 2.02851e6i | −0.0169292 | − | 0.0169292i | ||||
\(494\) | 1.00363e8 | + | 3.67024e8i | 0.832517 | + | 3.04448i | ||||
\(495\) | −6.64801e7 | − | 4.84439e6i | −0.548121 | − | 0.0399415i | ||||
\(496\) | −3.76211e7 | − | 2.07039e7i | −0.308309 | − | 0.169671i | ||||
\(497\) | 4.63251e7 | + | 4.63251e7i | 0.377353 | + | 0.377353i | ||||
\(498\) | −4.37694e7 | + | 3.83769e7i | −0.354391 | + | 0.310729i | ||||
\(499\) | 1.21642e7 | 0.0978998 | 0.0489499 | − | 0.998801i | \(-0.484413\pi\) | ||||
0.0489499 | + | 0.998801i | \(0.484413\pi\) | |||||||
\(500\) | 8.42576e7 | + | 9.23345e7i | 0.674061 | + | 0.738676i | ||||
\(501\) | 7.52582e7 | + | 2.59862e7i | 0.598467 | + | 0.206648i | ||||
\(502\) | −1.08236e8 | − | 6.17523e7i | −0.855578 | − | 0.488138i | ||||
\(503\) | 1.69932e7 | + | 1.69932e7i | 0.133528 | + | 0.133528i | 0.770712 | − | 0.637184i | \(-0.219901\pi\) |
−0.637184 | + | 0.770712i | \(0.719901\pi\) | |||||||
\(504\) | −1.22241e7 | − | 8.94458e7i | −0.0954827 | − | 0.698664i | ||||
\(505\) | −8.24063e7 | + | 5.54401e7i | −0.639862 | + | 0.430477i | ||||
\(506\) | 1.90317e7 | + | 6.95982e7i | 0.146901 | + | 0.537213i | ||||
\(507\) | 2.47437e8 | − | 1.20419e8i | 1.89863 | − | 0.923994i | ||||
\(508\) | 5.12293e7 | − | 1.99343e8i | 0.390775 | − | 1.52058i | ||||
\(509\) | 1.15021e8 | 0.872213 | 0.436106 | − | 0.899895i | \(-0.356357\pi\) | ||||
0.436106 | + | 0.899895i | \(0.356357\pi\) | |||||||
\(510\) | 8.66623e6 | + | 2.29369e6i | 0.0653311 | + | 0.0172911i | ||||
\(511\) | − | 1.30006e8i | − | 0.974319i | ||||||
\(512\) | 6.19017e6 | + | 1.34075e8i | 0.0461203 | + | 0.998936i | ||||
\(513\) | 2.36157e8 | + | 5.08370e7i | 1.74924 | + | 0.376555i | ||||
\(514\) | −7.53613e6 | − | 2.75593e7i | −0.0554957 | − | 0.202946i | ||||
\(515\) | 1.03097e8 | + | 2.01684e7i | 0.754788 | + | 0.147656i | ||||
\(516\) | −2.77399e7 | − | 1.35886e8i | −0.201909 | − | 0.989066i | ||||
\(517\) | 5.98992e7 | − | 5.98992e7i | 0.433461 | − | 0.433461i | ||||
\(518\) | 8.80137e6 | + | 5.02149e6i | 0.0633229 | + | 0.0361280i | ||||
\(519\) | 2.11274e7 | + | 7.29517e6i | 0.151127 | + | 0.0521835i | ||||
\(520\) | 2.44116e8 | + | 4.38687e7i | 1.73614 | + | 0.311993i | ||||
\(521\) | 6.22877e6i | 0.0440443i | 0.999757 | + | 0.0220221i | \(0.00701043\pi\) | ||||
−0.999757 | + | 0.0220221i | \(0.992990\pi\) | |||||||
\(522\) | −4.66561e7 | + | 1.90349e7i | −0.328017 | + | 0.133826i | ||||
\(523\) | 7.71652e7 | − | 7.71652e7i | 0.539407 | − | 0.539407i | −0.383948 | − | 0.923355i | \(-0.625436\pi\) |
0.923355 | + | 0.383948i | \(0.125436\pi\) | |||||||
\(524\) | −6.94284e7 | − | 1.17456e8i | −0.482551 | − | 0.816358i | ||||
\(525\) | −7.67906e7 | − | 6.71943e7i | −0.530677 | − | 0.464359i | ||||
\(526\) | 6.61691e7 | + | 2.41978e8i | 0.454672 | + | 1.66272i | ||||
\(527\) | −2.46135e6 | + | 2.46135e6i | −0.0168167 | + | 0.0168167i | ||||
\(528\) | −8.07944e7 | − | 4.05704e6i | −0.548883 | − | 0.0275618i | ||||
\(529\) | 3.99260e6i | 0.0269705i | ||||||||
\(530\) | −9.72959e7 | − | 8.39095e7i | −0.653532 | − | 0.563616i | ||||
\(531\) | −1.39495e8 | − | 1.09374e8i | −0.931699 | − | 0.730520i | ||||
\(532\) | 4.72863e7 | − | 1.84000e8i | 0.314051 | − | 1.22204i | ||||
\(533\) | −9.11308e7 | + | 9.11308e7i | −0.601844 | + | 0.601844i | ||||
\(534\) | −7.00078e6 | + | 1.06646e8i | −0.0459751 | + | 0.700357i | ||||
\(535\) | −2.80521e8 | − | 5.48770e7i | −1.83191 | − | 0.358368i | ||||
\(536\) | −1.54585e8 | + | 1.59415e8i | −1.00386 | + | 1.03522i | ||||
\(537\) | 1.43242e8 | − | 6.97106e7i | 0.925012 | − | 0.450169i | ||||
\(538\) | −1.66680e8 | − | 9.50967e7i | −1.07037 | − | 0.610687i | ||||
\(539\) | 4.32660e7i | 0.276300i | ||||||||
\(540\) | 9.61409e7 | − | 1.24707e8i | 0.610558 | − | 0.791972i | ||||
\(541\) | −1.51100e8 | −0.954271 | −0.477136 | − | 0.878830i | \(-0.658325\pi\) | ||||
−0.477136 | + | 0.878830i | \(0.658325\pi\) | |||||||
\(542\) | 4.75660e7 | − | 8.33708e7i | 0.298743 | − | 0.523620i | ||||
\(543\) | 5.90320e7 | + | 1.21300e8i | 0.368713 | + | 0.757634i | ||||
\(544\) | 1.05777e7 | + | 2.54563e6i | 0.0657047 | + | 0.0158124i | ||||
\(545\) | 4.58764e7 | − | 3.08641e7i | 0.283400 | − | 0.190662i | ||||
\(546\) | −2.02031e8 | − | 1.32624e7i | −1.24119 | − | 0.0814785i | ||||
\(547\) | 3.84117e7 | + | 3.84117e7i | 0.234694 | + | 0.234694i | 0.814649 | − | 0.579955i | \(-0.196930\pi\) |
−0.579955 | + | 0.814649i | \(0.696930\pi\) | |||||||
\(548\) | 3.40201e7 | − | 1.32379e8i | 0.206725 | − | 0.804409i | ||||
\(549\) | 1.13726e8 | − | 1.45045e8i | 0.687293 | − | 0.876567i | ||||
\(550\) | −7.18983e7 | + | 5.64896e7i | −0.432146 | + | 0.339532i | ||||
\(551\) | −1.06040e8 | −0.633891 | ||||||||
\(552\) | −1.61952e8 | − | 5.31480e7i | −0.962872 | − | 0.315987i | ||||
\(553\) | −3.20938e7 | − | 3.20938e7i | −0.189778 | − | 0.189778i | ||||
\(554\) | −8.40976e7 | + | 2.29966e7i | −0.494600 | + | 0.135249i | ||||
\(555\) | 4.53923e6 | + | 1.70816e7i | 0.0265524 | + | 0.0999192i | ||||
\(556\) | 2.90946e7 | + | 4.92209e7i | 0.169273 | + | 0.286368i | ||||
\(557\) | −1.58306e8 | − | 1.58306e8i | −0.916079 | − | 0.916079i | 0.0806626 | − | 0.996741i | \(-0.474296\pi\) |
−0.996741 | + | 0.0806626i | \(0.974296\pi\) | |||||||
\(558\) | 2.30966e7 | + | 5.66115e7i | 0.132937 | + | 0.325838i | ||||
\(559\) | −3.11038e8 | −1.78065 | ||||||||
\(560\) | −9.50120e7 | − | 7.94250e7i | −0.541021 | − | 0.452265i | ||||
\(561\) | −2.14026e6 | + | 6.19837e6i | −0.0121221 | + | 0.0351066i | ||||
\(562\) | 8.01568e7 | − | 1.40494e8i | 0.451577 | − | 0.791496i | ||||
\(563\) | −2.07881e8 | − | 2.07881e8i | −1.16490 | − | 1.16490i | −0.983389 | − | 0.181513i | \(-0.941901\pi\) |
−0.181513 | − | 0.983389i | \(-0.558099\pi\) | |||||||
\(564\) | 4.00259e7 | + | 1.96069e8i | 0.223102 | + | 1.09288i | ||||
\(565\) | 1.97488e8 | + | 3.86336e7i | 1.09495 | + | 0.214200i | ||||
\(566\) | 6.74478e6 | − | 1.84437e6i | 0.0371979 | − | 0.0101718i | ||||
\(567\) | −6.65831e7 | + | 1.09950e8i | −0.365271 | + | 0.603179i | ||||
\(568\) | 2.13270e6 | + | 1.38666e8i | 0.0116382 | + | 0.756702i | ||||
\(569\) | −1.81731e8 | −0.986491 | −0.493245 | − | 0.869890i | \(-0.664190\pi\) | ||||
−0.493245 | + | 0.869890i | \(0.664190\pi\) | |||||||
\(570\) | 2.86464e8 | − | 1.66562e8i | 1.54684 | − | 0.899395i | ||||
\(571\) | − | 1.42563e8i | − | 0.765773i | −0.923795 | − | 0.382886i | \(-0.874930\pi\) | ||
0.923795 | − | 0.382886i | \(-0.125070\pi\) | |||||||
\(572\) | −4.51576e7 | + | 1.75717e8i | −0.241292 | + | 0.938914i | ||||
\(573\) | −1.16388e8 | − | 2.39155e8i | −0.618649 | − | 1.27121i | ||||
\(574\) | 6.20690e7 | − | 1.69728e7i | 0.328200 | − | 0.0897467i | ||||
\(575\) | −1.77521e8 | + | 7.48511e7i | −0.933783 | + | 0.393726i | ||||
\(576\) | 1.13234e8 | − | 1.53943e8i | 0.592530 | − | 0.805548i | ||||
\(577\) | −2.38913e8 | + | 2.38913e8i | −1.24369 | + | 1.24369i | −0.285229 | + | 0.958459i | \(0.592070\pi\) |
−0.958459 | + | 0.285229i | \(0.907930\pi\) | |||||||
\(578\) | −9.52547e7 | + | 1.66957e8i | −0.493291 | + | 0.864610i | ||||
\(579\) | −1.88338e7 | + | 5.45442e7i | −0.0970293 | + | 0.281004i | ||||
\(580\) | −2.97373e7 | + | 6.23979e7i | −0.152411 | + | 0.319805i | ||||
\(581\) | − | 6.51829e7i | − | 0.332357i | ||||||
\(582\) | −2.17680e8 | − | 2.48267e8i | −1.10421 | − | 1.25936i | ||||
\(583\) | 6.64549e7 | − | 6.64549e7i | 0.335368 | − | 0.335368i | ||||
\(584\) | 1.91582e8 | − | 1.97567e8i | 0.961871 | − | 0.991920i | ||||
\(585\) | −2.30904e8 | − | 2.67200e8i | −1.15335 | − | 1.33466i | ||||
\(586\) | 3.22111e8 | − | 8.80817e7i | 1.60071 | − | 0.437716i | ||||
\(587\) | 7.27394e7 | − | 7.27394e7i | 0.359630 | − | 0.359630i | −0.504047 | − | 0.863676i | \(-0.668156\pi\) |
0.863676 | + | 0.504047i | \(0.168156\pi\) | |||||||
\(588\) | −8.52673e7 | − | 5.63561e7i | −0.419421 | − | 0.277210i | ||||
\(589\) | 1.28667e8i | 0.629680i | ||||||||
\(590\) | −2.42496e8 | + | 1.79142e7i | −1.18073 | + | 0.0872250i | ||||
\(591\) | 1.11172e7 | − | 3.21962e7i | 0.0538558 | − | 0.155971i | ||||
\(592\) | 5.97537e6 | + | 2.06011e7i | 0.0288005 | + | 0.0992946i | ||||
\(593\) | −1.42062e8 | + | 1.42062e8i | −0.681263 | + | 0.681263i | −0.960285 | − | 0.279022i | \(-0.909990\pi\) |
0.279022 | + | 0.960285i | \(0.409990\pi\) | |||||||
\(594\) | 8.57921e7 | + | 7.68549e7i | 0.409343 | + | 0.366701i | ||||
\(595\) | −8.32884e6 | + | 5.60335e6i | −0.0395397 | + | 0.0266009i | ||||
\(596\) | 3.93023e7 | + | 6.64898e7i | 0.185643 | + | 0.314063i | ||||
\(597\) | −1.13537e7 | − | 2.33297e7i | −0.0533598 | − | 0.109644i | ||||
\(598\) | −1.89435e8 | + | 3.32031e8i | −0.885844 | + | 1.55265i | ||||
\(599\) | 3.66805e8i | 1.70669i | 0.521345 | + | 0.853346i | \(0.325430\pi\) | ||||
−0.521345 | + | 0.853346i | \(0.674570\pi\) | |||||||
\(600\) | −1.76769e7 | − | 2.15275e8i | −0.0818373 | − | 0.996646i | ||||
\(601\) | 1.22702e8 | 0.565232 | 0.282616 | − | 0.959233i | \(-0.408798\pi\) | ||||
0.282616 | + | 0.959233i | \(0.408798\pi\) | |||||||
\(602\) | 1.34889e8 | + | 7.69587e7i | 0.618281 | + | 0.352751i | ||||
\(603\) | 3.13882e8 | − | 3.79892e7i | 1.43158 | − | 0.173264i | ||||
\(604\) | 1.05527e6 | − | 623775.i | 0.00478911 | − | 0.00283085i | ||||
\(605\) | 8.62760e7 | + | 1.28241e8i | 0.389605 | + | 0.579110i | ||||
\(606\) | 1.71256e8 | + | 1.12421e7i | 0.769534 | + | 0.0505162i | ||||
\(607\) | 2.32717e8 | + | 2.32717e8i | 1.04055 | + | 1.04055i | 0.999142 | + | 0.0414041i | \(0.0131831\pi\) |
0.0414041 | + | 0.999142i | \(0.486817\pi\) | |||||||
\(608\) | 3.43010e8 | − | 2.09938e8i | 1.52615 | − | 0.934073i | ||||
\(609\) | 1.84162e7 | − | 5.33346e7i | 0.0815356 | − | 0.236133i | ||||
\(610\) | −1.86269e7 | − | 2.52144e8i | −0.0820635 | − | 1.11086i | ||||
\(611\) | 4.48796e8 | 1.96755 | ||||||||
\(612\) | −9.42776e6 | − | 1.22917e7i | −0.0411296 | − | 0.0536236i | ||||
\(613\) | 9.93741e7 | + | 9.93741e7i | 0.431412 | + | 0.431412i | 0.889108 | − | 0.457697i | \(-0.151325\pi\) |
−0.457697 | + | 0.889108i | \(0.651325\pi\) | |||||||
\(614\) | −8.07460e7 | − | 2.95285e8i | −0.348832 | − | 1.27566i | ||||
\(615\) | 9.70842e7 | + | 5.63191e7i | 0.417372 | + | 0.242120i | ||||
\(616\) | 6.30605e7 | − | 6.50305e7i | 0.269783 | − | 0.278211i | ||||
\(617\) | 2.80186e8 | + | 2.80186e8i | 1.19286 | + | 1.19286i | 0.976259 | + | 0.216605i | \(0.0694984\pi\) |
0.216605 | + | 0.976259i | \(0.430502\pi\) | |||||||
\(618\) | −1.19676e8 | − | 1.36493e8i | −0.507041 | − | 0.578288i | ||||
\(619\) | 2.19446e8 | 0.925244 | 0.462622 | − | 0.886556i | \(-0.346909\pi\) | ||||
0.462622 | + | 0.886556i | \(0.346909\pi\) | |||||||
\(620\) | 7.57122e7 | + | 3.60825e7i | 0.317681 | + | 0.151399i | ||||
\(621\) | 1.31651e8 | + | 2.03880e8i | 0.549729 | + | 0.851333i | ||||
\(622\) | 8.32034e6 | + | 4.74705e6i | 0.0345756 | + | 0.0197266i | ||||
\(623\) | −8.46231e7 | − | 8.46231e7i | −0.349965 | − | 0.349965i | ||||
\(624\) | −2.87478e8 | − | 3.17876e8i | −1.18318 | − | 1.30829i | ||||
\(625\) | −1.74804e8 | − | 1.70435e8i | −0.715999 | − | 0.698102i | ||||
\(626\) | 7.44397e7 | + | 2.72223e8i | 0.303446 | + | 1.10969i | ||||
\(627\) | 1.06068e8 | + | 2.17950e8i | 0.430311 | + | 0.884207i | ||||
\(628\) | −7.75181e7 | − | 1.99214e7i | −0.312985 | − | 0.0804342i | ||||
\(629\) | 1.73876e6 | 0.00698696 | ||||||||
\(630\) | 3.40243e7 | + | 1.73009e8i | 0.136072 | + | 0.691905i | ||||
\(631\) | − | 1.63259e8i | − | 0.649812i | −0.945746 | − | 0.324906i | \(-0.894667\pi\) | ||
0.945746 | − | 0.324906i | \(-0.105333\pi\) | |||||||
\(632\) | −1.47752e6 | − | 9.60671e7i | −0.00585306 | − | 0.380560i | ||||
\(633\) | 2.94170e8 | − | 1.43161e8i | 1.15981 | − | 0.564436i | ||||
\(634\) | 8.37530e7 | + | 3.06281e8i | 0.328649 | + | 1.20186i | ||||
\(635\) | −7.71773e7 | + | 3.94516e8i | −0.301417 | + | 1.54079i | ||||
\(636\) | 4.44065e7 | + | 2.17528e8i | 0.172614 | + | 0.845560i | ||||
\(637\) | −1.62086e8 | + | 1.62086e8i | −0.627085 | + | 0.627085i | ||||
\(638\) | −4.39164e7 | − | 2.50559e7i | −0.169108 | − | 0.0964822i | ||||
\(639\) | 1.21837e8 | − | 1.55390e8i | 0.466957 | − | 0.595553i | ||||
\(640\) | −2.73437e7 | − | 2.60714e8i | −0.104308 | − | 0.994545i | ||||
\(641\) | − | 2.85761e8i | − | 1.08500i | −0.840056 | − | 0.542500i | \(-0.817478\pi\) | ||
0.840056 | − | 0.542500i | \(-0.182522\pi\) | |||||||
\(642\) | 3.25632e8 | + | 3.71388e8i | 1.23061 | + | 1.40353i | ||||
\(643\) | −2.81315e8 | + | 2.81315e8i | −1.05818 | + | 1.05818i | −0.0599809 | + | 0.998200i | \(0.519104\pi\) |
−0.998200 | + | 0.0599809i | \(0.980896\pi\) | |||||||
\(644\) | 1.64306e8 | − | 9.71214e7i | 0.615169 | − | 0.363628i | ||||
\(645\) | 6.95677e7 | + | 2.61790e8i | 0.259256 | + | 0.975605i | ||||
\(646\) | −8.59855e6 | − | 3.14445e7i | −0.0318954 | − | 0.116640i | ||||
\(647\) | −1.55110e8 | + | 1.55110e8i | −0.572698 | + | 0.572698i | −0.932882 | − | 0.360183i | \(-0.882714\pi\) |
0.360183 | + | 0.932882i | \(0.382714\pi\) | |||||||
\(648\) | −2.63212e8 | + | 6.89691e7i | −0.967343 | + | 0.253472i | ||||
\(649\) | − | 1.77865e8i | − | 0.650665i | ||||||
\(650\) | −4.80974e8 | − | 5.77250e7i | −1.75139 | − | 0.210196i | ||||
\(651\) | −6.47150e7 | − | 2.23458e7i | −0.234564 | − | 0.0809939i | ||||
\(652\) | −4.15713e7 | − | 1.06834e7i | −0.149986 | − | 0.0385450i | ||||
\(653\) | −6.80229e7 | + | 6.80229e7i | −0.244295 | + | 0.244295i | −0.818625 | − | 0.574329i | \(-0.805263\pi\) |
0.574329 | + | 0.818625i | \(0.305263\pi\) | |||||||
\(654\) | −9.53399e7 | − | 6.25861e6i | −0.340833 | − | 0.0223740i | ||||
\(655\) | 1.48752e8 | + | 2.21106e8i | 0.529346 | + | 0.786822i | ||||
\(656\) | 1.19337e8 | + | 6.56741e7i | 0.422730 | + | 0.232639i | ||||
\(657\) | −3.89003e8 | + | 4.70811e7i | −1.37169 | + | 0.166016i | ||||
\(658\) | −1.94631e8 | − | 1.11044e8i | −0.683177 | − | 0.389777i | ||||
\(659\) | 3.34310e7i | 0.116814i | 0.998293 | + | 0.0584068i | \(0.0186021\pi\) | ||||
−0.998293 | + | 0.0584068i | \(0.981398\pi\) | |||||||
\(660\) | 1.57995e8 | − | 1.29383e6i | 0.549556 | − | 0.00450033i | ||||
\(661\) | −1.05178e8 | −0.364182 | −0.182091 | − | 0.983282i | \(-0.558287\pi\) | ||||
−0.182091 | + | 0.983282i | \(0.558287\pi\) | |||||||
\(662\) | 8.46820e7 | − | 1.48425e8i | 0.291889 | − | 0.511605i | ||||
\(663\) | −3.12387e7 | + | 1.52027e7i | −0.107189 | + | 0.0521652i | ||||
\(664\) | 9.60562e7 | − | 9.90571e7i | 0.328111 | − | 0.338362i | ||||
\(665\) | −7.12371e7 | + | 3.64151e8i | −0.242237 | + | 1.23827i | ||||
\(666\) | 1.18379e7 | − | 2.81539e7i | 0.0400729 | − | 0.0953050i | ||||
\(667\) | −7.53306e7 | − | 7.53306e7i | −0.253860 | − | 0.253860i | ||||
\(668\) | −1.82785e8 | − | 4.69741e7i | −0.613214 | − | 0.157590i | ||||
\(669\) | 9.82136e7 | + | 3.39126e7i | 0.328015 | + | 0.113262i | ||||
\(670\) | 2.83250e8 | − | 3.28438e8i | 0.941771 | − | 1.09201i | ||||
\(671\) | 1.84941e8 | 0.612163 | ||||||||
\(672\) | 4.60208e7 | + | 2.08983e8i | 0.151651 | + | 0.688658i | ||||
\(673\) | 9.72124e7 | + | 9.72124e7i | 0.318916 | + | 0.318916i | 0.848351 | − | 0.529435i | \(-0.177596\pi\) |
−0.529435 | + | 0.848351i | \(0.677596\pi\) | |||||||
\(674\) | 2.00453e8 | − | 5.48141e7i | 0.654686 | − | 0.179025i | ||||
\(675\) | −1.73249e8 | + | 2.54106e8i | −0.563324 | + | 0.826236i | ||||
\(676\) | −5.61523e8 | + | 3.31917e8i | −1.81772 | + | 1.07446i | ||||
\(677\) | −3.20572e8 | − | 3.20572e8i | −1.03314 | − | 1.03314i | −0.999432 | − | 0.0337102i | \(-0.989268\pi\) |
−0.0337102 | − | 0.999432i | \(-0.510732\pi\) | |||||||
\(678\) | −2.29246e8 | − | 2.61459e8i | −0.735551 | − | 0.838907i | ||||
\(679\) | 3.69728e8 | 1.18106 | ||||||||
\(680\) | −2.09145e7 | − | 3.75843e6i | −0.0665151 | − | 0.0119531i | ||||
\(681\) | 1.86769e8 | + | 6.44905e7i | 0.591377 | + | 0.204199i | ||||
\(682\) | −3.04022e7 | + | 5.32872e7i | −0.0958412 | + | 0.167985i | ||||
\(683\) | 3.43288e7 | + | 3.43288e7i | 0.107745 | + | 0.107745i | 0.758924 | − | 0.651179i | \(-0.225725\pi\) |
−0.651179 | + | 0.758924i | \(0.725725\pi\) | |||||||
\(684\) | −5.67688e8 | − | 7.48547e7i | −1.77395 | − | 0.233911i | ||||
\(685\) | −5.12515e7 | + | 2.61988e8i | −0.159454 | + | 0.815098i | ||||
\(686\) | 3.29980e8 | − | 9.02333e7i | 1.02215 | − | 0.279508i | ||||
\(687\) | 3.02838e7 | − | 1.47380e7i | 0.0933986 | − | 0.0454537i | ||||
\(688\) | 9.15778e7 | + | 3.15730e8i | 0.281206 | + | 0.969506i | ||||
\(689\) | 4.97915e8 | 1.52229 | ||||||||
\(690\) | 3.21828e8 | + | 8.51781e7i | 0.979664 | + | 0.259287i | ||||
\(691\) | − | 9.71208e7i | − | 0.294359i | −0.989110 | − | 0.147180i | \(-0.952980\pi\) | ||
0.989110 | − | 0.147180i | \(-0.0470196\pi\) | |||||||
\(692\) | −5.13137e7 | − | 1.31871e7i | −0.154851 | − | 0.0397953i | ||||
\(693\) | −1.28043e8 | + | 1.54970e7i | −0.384729 | + | 0.0465638i | ||||
\(694\) | 1.41178e8 | − | 3.86054e7i | 0.422367 | − | 0.115497i | ||||
\(695\) | −6.23360e7 | − | 9.26564e7i | −0.185688 | − | 0.276008i | ||||
\(696\) | 1.06583e8 | − | 5.39126e7i | 0.316125 | − | 0.159905i | ||||
\(697\) | 7.80758e6 | − | 7.80758e6i | 0.0230578 | − | 0.0230578i | ||||
\(698\) | 1.55939e8 | − | 2.73321e8i | 0.458553 | − | 0.803724i | ||||
\(699\) | −3.46083e8 | − | 1.19501e8i | −1.01333 | − | 0.349896i | ||||
\(700\) | 1.94303e8 | + | 1.44039e8i | 0.566480 | + | 0.419939i | ||||
\(701\) | − | 4.39602e8i | − | 1.27616i | −0.769969 | − | 0.638081i | \(-0.779728\pi\) | ||
0.769969 | − | 0.638081i | \(-0.220272\pi\) | |||||||
\(702\) | 3.34810e7 | + | 6.09318e8i | 0.0967805 | + | 1.76130i | ||||
\(703\) | 4.54466e7 | − | 4.54466e7i | 0.130808 | − | 0.130808i | ||||
\(704\) | 1.91663e8 | − | 5.89700e6i | 0.549314 | − | 0.0169010i | ||||
\(705\) | −1.00379e8 | − | 3.77736e8i | −0.286468 | − | 1.07801i | ||||
\(706\) | 4.42844e7 | − | 1.21096e7i | 0.125845 | − | 0.0344125i | ||||
\(707\) | −1.35891e8 | + | 1.35891e8i | −0.384532 | + | 0.384532i | ||||
\(708\) | 3.50532e8 | + | 2.31679e8i | 0.987706 | + | 0.652809i | ||||
\(709\) | − | 2.18951e8i | − | 0.614338i | −0.951655 | − | 0.307169i | \(-0.900618\pi\) | ||
0.951655 | − | 0.307169i | \(-0.0993817\pi\) | |||||||
\(710\) | −1.99554e7 | − | 2.70128e8i | −0.0557553 | − | 0.754735i | ||||
\(711\) | −8.44082e7 | + | 1.07653e8i | −0.234842 | + | 0.299515i | ||||
\(712\) | −3.89584e6 | − | 2.53304e8i | −0.0107935 | − | 0.701781i | ||||
\(713\) | −9.14045e7 | + | 9.14045e7i | −0.252173 | + | 0.252173i | ||||
\(714\) | 1.73089e7 | + | 1.13625e6i | 0.0475526 | + | 0.00312160i | ||||
\(715\) | 6.80302e7 | − | 3.47758e8i | 0.186116 | − | 0.951390i | ||||
\(716\) | −3.25067e8 | + | 1.92148e8i | −0.885592 | + | 0.523475i | ||||
\(717\) | −1.45978e7 | + | 7.10422e6i | −0.0396032 | + | 0.0192734i | ||||
\(718\) | 1.31092e8 | − | 2.29771e8i | 0.354164 | − | 0.620757i | ||||
\(719\) | − | 5.13451e8i | − | 1.38138i | −0.723153 | − | 0.690688i | \(-0.757308\pi\) | ||
0.723153 | − | 0.690688i | \(-0.242692\pi\) | |||||||
\(720\) | −2.03247e8 | + | 3.13057e8i | −0.544535 | + | 0.838738i | ||||
\(721\) | 2.03269e8 | 0.542333 | ||||||||
\(722\) | −7.19718e8 | − | 4.10624e8i | −1.91228 | − | 1.09102i | ||||
\(723\) | −1.48901e8 | − | 3.05964e8i | −0.393988 | − | 0.809571i | ||||
\(724\) | −1.62714e8 | − | 2.75272e8i | −0.428754 | − | 0.725347i | ||||
\(725\) | 5.08732e7 | − | 1.25051e8i | 0.133498 | − | 0.328151i | ||||
\(726\) | 1.74950e7 | − | 2.66509e8i | 0.0457199 | − | 0.696469i | ||||
\(727\) | 6.55038e7 | + | 6.55038e7i | 0.170476 | + | 0.170476i | 0.787188 | − | 0.616713i | \(-0.211536\pi\) |
−0.616713 | + | 0.787188i | \(0.711536\pi\) | |||||||
\(728\) | 4.79862e8 | − | 7.38033e6i | 1.24372 | − | 0.0191285i | ||||
\(729\) | 3.53104e8 | + | 1.59411e8i | 0.911424 | + | 0.411469i | ||||
\(730\) | −3.51040e8 | + | 4.07042e8i | −0.902377 | + | 1.04634i | ||||
\(731\) | 2.66480e7 | 0.0682202 | ||||||||
\(732\) | −2.40896e8 | + | 3.64477e8i | −0.614180 | + | 0.929260i | ||||
\(733\) | −2.37813e8 | − | 2.37813e8i | −0.603841 | − | 0.603841i | 0.337488 | − | 0.941330i | \(-0.390423\pi\) |
−0.941330 | + | 0.337488i | \(0.890423\pi\) | |||||||
\(734\) | 1.92113e8 | + | 7.02549e8i | 0.485812 | + | 1.77659i | ||||
\(735\) | 1.72674e8 | + | 1.00169e8i | 0.434876 | + | 0.252274i | ||||
\(736\) | 3.92814e8 | + | 9.45341e7i | 0.985265 | + | 0.237113i | ||||
\(737\) | 2.24329e8 | + | 2.24329e8i | 0.560381 | + | 0.560381i | ||||
\(738\) | −7.32639e7 | − | 1.79576e8i | −0.182273 | − | 0.446764i | ||||
\(739\) | −4.75986e8 | −1.17940 | −0.589699 | − | 0.807623i | \(-0.700754\pi\) | ||||
−0.589699 | + | 0.807623i | \(0.700754\pi\) | |||||||
\(740\) | −1.39977e7 | − | 3.94873e7i | −0.0345431 | − | 0.0974456i | ||||
\(741\) | −4.19138e8 | + | 1.21386e9i | −1.03015 | + | 2.98341i | ||||
\(742\) | −2.15932e8 | − | 1.23197e8i | −0.528573 | − | 0.301570i | ||||
\(743\) | −2.53767e7 | − | 2.53767e7i | −0.0618683 | − | 0.0618683i | 0.675496 | − | 0.737364i | \(-0.263930\pi\) |
−0.737364 | + | 0.675496i | \(0.763930\pi\) | |||||||
\(744\) | −6.54164e7 | − | 1.29325e8i | −0.158843 | − | 0.314025i | ||||
\(745\) | −8.42062e7 | − | 1.25164e8i | −0.203646 | − | 0.302700i | ||||
\(746\) | 1.91750e7 | + | 7.01221e7i | 0.0461868 | + | 0.168903i | ||||
\(747\) | −1.95040e8 | + | 2.36057e7i | −0.467909 | + | 0.0566311i | ||||
\(748\) | 3.86885e6 | − | 1.50545e7i | 0.00924437 | − | 0.0359717i | ||||
\(749\) | −5.53084e8 | −1.31627 | ||||||||
\(750\) | 5.89909e7 | + | 4.17730e8i | 0.139830 | + | 0.990175i | ||||
\(751\) | 9.15189e7i | 0.216068i | 0.994147 | + | 0.108034i | \(0.0344556\pi\) | ||||
−0.994147 | + | 0.108034i | \(0.965544\pi\) | |||||||
\(752\) | −1.32137e8 | − | 4.55566e8i | −0.310722 | − | 1.07127i | ||||
\(753\) | −1.84038e8 | − | 3.78163e8i | −0.431045 | − | 0.885716i | ||||
\(754\) | −7.06565e7 | − | 2.58388e8i | −0.164831 | − | 0.602779i | ||||
\(755\) | −1.98651e6 | + | 1.33646e6i | −0.00461584 | + | 0.00310537i | ||||
\(756\) | 1.36241e8 | − | 2.72528e8i | 0.315313 | − | 0.630734i | ||||
\(757\) | 5.14807e8 | − | 5.14807e8i | 1.18674 | − | 1.18674i | 0.208780 | − | 0.977963i | \(-0.433051\pi\) |
0.977963 | − | 0.208780i | \(-0.0669491\pi\) | |||||||
\(758\) | −3.52578e8 | − | 2.01158e8i | −0.809558 | − | 0.461882i | ||||
\(759\) | −7.94806e7 | + | 2.30182e8i | −0.181776 | + | 0.526436i | ||||
\(760\) | −6.44885e8 | + | 4.48414e8i | −1.46907 | + | 1.02150i | ||||
\(761\) | − | 2.57011e8i | − | 0.583173i | −0.956544 | − | 0.291587i | \(-0.905817\pi\) | ||
0.956544 | − | 0.291587i | \(-0.0941831\pi\) | |||||||
\(762\) | 5.22308e8 | − | 4.57958e8i | 1.18049 | − | 1.03505i | ||||
\(763\) | 7.56520e7 | − | 7.56520e7i | 0.170313 | − | 0.170313i | ||||
\(764\) | 3.20808e8 | + | 5.42728e8i | 0.719391 | + | 1.21703i | ||||
\(765\) | 1.97825e7 | + | 2.28922e7i | 0.0441873 | + | 0.0511333i | ||||
\(766\) | −1.85357e8 | − | 6.77843e8i | −0.412404 | − | 1.50814i | ||||
\(767\) | 6.66330e8 | − | 6.66330e8i | 1.47674 | − | 1.47674i | ||||
\(768\) | −2.38029e8 | + | 3.85405e8i | −0.525469 | + | 0.850813i | ||||
\(769\) | − | 7.29005e8i | − | 1.60307i | −0.597950 | − | 0.801533i | \(-0.704018\pi\) | ||
0.597950 | − | 0.801533i | \(-0.295982\pi\) | |||||||
\(770\) | −1.15547e8 | + | 1.33980e8i | −0.253096 | + | 0.293474i | ||||
\(771\) | 3.14726e7 | − | 9.11470e7i | 0.0686703 | − | 0.198874i | ||||
\(772\) | 3.40450e7 | − | 1.32476e8i | 0.0739949 | − | 0.287929i | ||||
\(773\) | 2.46547e8 | − | 2.46547e8i | 0.533780 | − | 0.533780i | −0.387915 | − | 0.921695i | \(-0.626805\pi\) |
0.921695 | + | 0.387915i | \(0.126805\pi\) | |||||||
\(774\) | 1.81426e8 | − | 4.31483e8i | 0.391270 | − | 0.930551i | ||||
\(775\) | −1.51734e8 | − | 6.17284e7i | −0.325971 | − | 0.132611i | ||||
\(776\) | 5.61868e8 | + | 5.44847e8i | 1.20240 | + | 1.16597i | ||||
\(777\) | 1.49654e7 | + | 3.07510e7i | 0.0319024 | + | 0.0655535i | ||||
\(778\) | 7.75254e8 | + | 4.42310e8i | 1.64629 | + | 0.939264i | ||||
\(779\) | − | 4.08139e8i | − | 0.863368i | ||||||
\(780\) | 5.96738e8 | + | 5.87044e8i | 1.25748 | + | 1.23705i | ||||
\(781\) | 1.98132e8 | 0.415913 | ||||||||
\(782\) | 1.62298e7 | − | 2.84465e7i | 0.0339384 | − | 0.0594853i | ||||
\(783\) | −1.66257e8 | − | 3.57898e7i | −0.346333 | − | 0.0745544i | ||||
\(784\) | 2.12253e8 | + | 1.16808e8i | 0.440459 | + | 0.242396i | ||||
\(785\) | 1.53414e8 | + | 3.00117e7i | 0.317144 | + | 0.0620414i | ||||
\(786\) | 3.01640e7 | − | 4.59500e8i | 0.0621185 | − | 0.946276i | ||||
\(787\) | −3.50599e8 | − | 3.50599e8i | −0.719261 | − | 0.719261i | 0.249193 | − | 0.968454i | \(-0.419835\pi\) |
−0.968454 | + | 0.249193i | \(0.919835\pi\) | |||||||
\(788\) | −2.00960e7 | + | 7.81975e7i | −0.0410706 | + | 0.159814i | ||||
\(789\) | −2.76337e8 | + | 8.00292e8i | −0.562610 | + | 1.62936i | ||||
\(790\) | 1.38250e7 | + | 1.87143e8i | 0.0280404 | + | 0.379571i | ||||
\(791\) | 3.89373e8 | 0.786749 | ||||||||
\(792\) | −2.17421e8 | − | 1.65138e8i | −0.437648 | − | 0.332409i | ||||
\(793\) | 6.92839e8 | + | 6.92839e8i | 1.38935 | + | 1.38935i | ||||
\(794\) | −3.60277e8 | + | 9.85182e7i | −0.719740 | + | 0.196814i | ||||
\(795\) | −1.11365e8 | − | 4.19078e8i | −0.221640 | − | 0.834052i | ||||
\(796\) | 3.12949e7 | + | 5.29433e7i | 0.0620490 | + | 0.104972i | ||||
\(797\) | −3.65149e7 | − | 3.65149e7i | −0.0721265 | − | 0.0721265i | 0.670123 | − | 0.742250i | \(-0.266241\pi\) |
−0.742250 | + | 0.670123i | \(0.766241\pi\) | |||||||
\(798\) | 4.82107e8 | − | 4.22710e8i | 0.948714 | − | 0.831830i | ||||
\(799\) | −3.84504e7 | −0.0753807 | ||||||||
\(800\) | 8.30157e7 | + | 5.05225e8i | 0.162140 | + | 0.986768i | ||||
\(801\) | −2.22562e8 | + | 2.83854e8i | −0.433066 | + | 0.552329i | ||||
\(802\) | −3.83612e8 | + | 6.72373e8i | −0.743651 | + | 1.30343i | ||||
\(803\) | −2.78018e8 | − | 2.78018e8i | −0.536940 | − | 0.536940i | ||||
\(804\) | −7.34301e8 | + | 1.49901e8i | −1.41288 | + | 0.288428i | ||||
\(805\) | −3.09299e8 | + | 2.08085e8i | −0.592912 | + | 0.398891i | ||||
\(806\) | −3.13522e8 | + | 8.57330e7i | −0.598775 | + | 0.163736i | ||||
\(807\) | −2.83413e8 | − | 5.82360e8i | −0.539261 | − | 1.10808i | ||||
\(808\) | −4.06765e8 | + | 6.25610e6i | −0.771099 | + | 0.0118596i | ||||
\(809\) | −3.76127e8 | −0.710377 | −0.355188 | − | 0.934795i | \(-0.615583\pi\) | ||||
−0.355188 | + | 0.934795i | \(0.615583\pi\) | |||||||
\(810\) | 5.05353e8 | − | 1.64462e8i | 0.950911 | − | 0.309464i | ||||
\(811\) | 7.62171e7i | 0.142886i | 0.997445 | + | 0.0714430i | \(0.0227604\pi\) | ||||
−0.997445 | + | 0.0714430i | \(0.977240\pi\) | |||||||
\(812\) | −3.32900e7 | + | 1.29538e8i | −0.0621793 | + | 0.241952i | ||||
\(813\) | 2.91288e8 | − | 1.41759e8i | 0.542064 | − | 0.263803i | ||||
\(814\) | 2.95601e7 | − | 8.08326e6i | 0.0548067 | − | 0.0149869i | ||||
\(815\) | 8.22728e7 | + | 1.60946e7i | 0.151979 | + | 0.0297309i | ||||
\(816\) | 2.46295e7 | + | 2.72338e7i | 0.0453300 | + | 0.0501231i | ||||
\(817\) | 6.96509e8 | − | 6.96509e8i | 1.27721 | − | 1.27721i | ||||
\(818\) | −5.23596e7 | + | 9.17727e7i | −0.0956613 | + | 0.167669i | ||||
\(819\) | −5.37737e8 | − | 4.21625e8i | −0.978855 | − | 0.767494i | ||||
\(820\) | −2.40164e8 | − | 1.14456e8i | −0.435579 | − | 0.207586i | ||||
\(821\) | − | 3.48077e8i | − | 0.628994i | −0.949259 | − | 0.314497i | \(-0.898164\pi\) | ||
0.949259 | − | 0.314497i | \(-0.101836\pi\) | |||||||
\(822\) | 3.46852e8 | − | 3.04119e8i | 0.624494 | − | 0.547555i | ||||
\(823\) | −3.60924e8 | + | 3.60924e8i | −0.647464 | + | 0.647464i | −0.952380 | − | 0.304915i | \(-0.901372\pi\) |
0.304915 | + | 0.952380i | \(0.401372\pi\) | |||||||
\(824\) | 3.08904e8 | + | 2.99546e8i | 0.552131 | + | 0.535405i | ||||
\(825\) | −3.07911e8 | + | 2.05218e7i | −0.548358 | + | 0.0365472i | ||||
\(826\) | −4.53836e8 | + | 1.24102e8i | −0.805302 | + | 0.220211i | ||||
\(827\) | −6.06418e8 | + | 6.06418e8i | −1.07215 | + | 1.07215i | −0.0749640 | + | 0.997186i | \(0.523884\pi\) |
−0.997186 | + | 0.0749640i | \(0.976116\pi\) | |||||||
\(828\) | −3.50108e8 | − | 4.56462e8i | −0.616753 | − | 0.804106i | ||||
\(829\) | 4.37831e8i | 0.768499i | 0.923229 | + | 0.384249i | \(0.125540\pi\) | ||||
−0.923229 | + | 0.384249i | \(0.874460\pi\) | |||||||
\(830\) | −1.76006e8 | + | 2.04084e8i | −0.307817 | + | 0.356924i | ||||
\(831\) | −2.78136e8 | − | 9.60389e7i | −0.484679 | − | 0.167357i | ||||
\(832\) | 7.40112e8 | + | 6.95929e8i | 1.28507 | + | 1.20836i | ||||
\(833\) | 1.38866e7 | − | 1.38866e7i | 0.0240249 | − | 0.0240249i | ||||
\(834\) | −1.26405e7 | + | 1.92557e8i | −0.0217904 | + | 0.331942i | ||||
\(835\) | 3.61746e8 | + | 7.07668e7i | 0.621362 | + | 0.121554i | ||||
\(836\) | −2.92363e8 | − | 4.94606e8i | −0.500384 | − | 0.846526i | ||||
\(837\) | −4.34265e7 | + | 2.01732e8i | −0.0740591 | + | 0.344032i | ||||
\(838\) | 1.25610e8 | − | 2.20162e8i | 0.213448 | − | 0.374119i | ||||
\(839\) | 4.06074e8i | 0.687574i | 0.939048 | + | 0.343787i | \(0.111710\pi\) | ||||
−0.939048 | + | 0.343787i | \(0.888290\pi\) | |||||||
\(840\) | −1.13539e8 | − | 4.02233e8i | −0.191561 | − | 0.678640i | ||||
\(841\) | −5.20170e8 | −0.874495 | ||||||||
\(842\) | 1.54229e8 | + | 8.79931e7i | 0.258363 | + | 0.147405i | ||||
\(843\) | 4.90870e8 | − | 2.38888e8i | 0.819377 | − | 0.398760i | ||||
\(844\) | −6.67575e8 | + | 3.94605e8i | −1.11038 | + | 0.656350i | ||||
\(845\) | 1.05704e9 | − | 7.11142e8i | 1.75196 | − | 1.17865i | ||||
\(846\) | −2.61779e8 | + | 6.22585e8i | −0.432338 | + | 1.02822i | ||||
\(847\) | 2.11474e8 | + | 2.11474e8i | 0.348022 | + | 0.348022i | ||||
\(848\) | −1.46599e8 | − | 5.05426e8i | −0.240405 | − | 0.828838i | ||||
\(849\) | 2.23070e7 | + | 7.70249e6i | 0.0364517 | + | 0.0125866i | ||||
\(850\) | 4.12072e7 | + | 4.94556e6i | 0.0670991 | + | 0.00805302i | ||||
\(851\) | 6.45704e7 | 0.104772 | ||||||||
\(852\) | −2.58077e8 | + | 3.90473e8i | −0.417283 | + | 0.631354i | ||||
\(853\) | −893597. | − | 893597.i | −0.00143977 | − | 0.00143977i | 0.706387 | − | 0.707826i | \(-0.250324\pi\) |
−0.707826 | + | 0.706387i | \(0.750324\pi\) | |||||||
\(854\) | −1.29039e8 | − | 4.71891e8i | −0.207180 | − | 0.757649i | ||||
\(855\) | 1.11541e9 | + | 8.12795e7i | 1.78457 | + | 0.130042i | ||||
\(856\) | −8.40509e8 | − | 8.15047e8i | −1.34005 | − | 1.29945i | ||||
\(857\) | 3.17205e8 | + | 3.17205e8i | 0.503961 | + | 0.503961i | 0.912666 | − | 0.408705i | \(-0.134020\pi\) |
−0.408705 | + | 0.912666i | \(0.634020\pi\) | |||||||
\(858\) | −4.60404e8 | + | 4.03681e8i | −0.728916 | + | 0.639111i | ||||
\(859\) | 4.89908e8 | 0.772920 | 0.386460 | − | 0.922306i | \(-0.373698\pi\) | ||||
0.386460 | + | 0.922306i | \(0.373698\pi\) | |||||||
\(860\) | −2.14527e8 | − | 6.05177e8i | −0.337277 | − | 0.951453i | ||||
\(861\) | 2.05281e8 | + | 7.08823e7i | 0.321617 | + | 0.111053i | ||||
\(862\) | 5.78577e8 | + | 3.30098e8i | 0.903315 | + | 0.515373i | ||||
\(863\) | 1.48264e8 | + | 1.48264e8i | 0.230676 | + | 0.230676i | 0.812975 | − | 0.582299i | \(-0.197847\pi\) |
−0.582299 | + | 0.812975i | \(0.697847\pi\) | |||||||
\(864\) | 6.08651e8 | − | 2.13385e8i | 0.943685 | − | 0.330844i | ||||
\(865\) | 1.01554e8 | + | 1.98665e7i | 0.156909 | + | 0.0306954i | ||||
\(866\) | 6.21474e7 | + | 2.27271e8i | 0.0956906 | + | 0.349937i | ||||
\(867\) | −5.83327e8 | + | 2.83884e8i | −0.895066 | + | 0.435596i | ||||
\(868\) | 1.57179e8 | + | 4.03933e7i | 0.240344 | + | 0.0617662i | ||||
\(869\) | −1.37265e8 | −0.209171 | ||||||||
\(870\) | −2.01673e8 | + | 1.17261e8i | −0.306260 | + | 0.178072i | ||||
\(871\) | 1.68079e9i | 2.54366i | ||||||||
\(872\) | 2.26450e8 | − | 3.48283e6i | 0.341526 | − | 0.00525271i | ||||
\(873\) | −1.33895e8 | − | 1.10630e9i | −0.201244 | − | 1.66276i | ||||
\(874\) | −3.19315e8 | − | 1.16772e9i | −0.478283 | − | 1.74906i | ||||
\(875\) | −3.95260e8 | − | 2.58712e8i | −0.590010 | − | 0.386182i | ||||
\(876\) | 9.10041e8 | − | 1.85777e8i | 1.35378 | − | 0.276363i | ||||
\(877\) | 4.32703e8 | − | 4.32703e8i | 0.641492 | − | 0.641492i | −0.309430 | − | 0.950922i | \(-0.600138\pi\) |
0.950922 | + | 0.309430i | \(0.100138\pi\) | |||||||
\(878\) | 9.33873e8 | + | 5.32807e8i | 1.37976 | + | 0.787203i | ||||
\(879\) | 1.06532e9 | + | 3.67849e8i | 1.56860 | + | 0.541630i | ||||
\(880\) | −3.73033e8 | + | 3.33326e7i | −0.547393 | + | 0.0489127i | ||||
\(881\) | 4.92215e8i | 0.719825i | 0.932986 | + | 0.359912i | \(0.117193\pi\) | ||||
−0.932986 | + | 0.359912i | \(0.882807\pi\) | |||||||
\(882\) | −1.30308e8 | − | 3.19394e8i | −0.189917 | − | 0.465501i | ||||
\(883\) | −4.90927e8 | + | 4.90927e8i | −0.713074 | + | 0.713074i | −0.967177 | − | 0.254103i | \(-0.918220\pi\) |
0.254103 | + | 0.967177i | \(0.418220\pi\) | |||||||
\(884\) | 7.08917e7 | − | 4.19042e7i | 0.102622 | − | 0.0606598i | ||||
\(885\) | −7.09860e8 | − | 4.11794e8i | −1.02410 | − | 0.594087i | ||||
\(886\) | 1.77247e7 | + | 6.48184e7i | 0.0254845 | + | 0.0931960i | ||||
\(887\) | 1.71762e8 | − | 1.71762e8i | 0.246125 | − | 0.246125i | −0.573253 | − | 0.819378i | \(-0.694319\pi\) |
0.819378 | + | 0.573253i | \(0.194319\pi\) | |||||||
\(888\) | −2.25733e7 | + | 6.87851e7i | −0.0322372 | + | 0.0982326i | ||||
\(889\) | 7.77839e8i | 1.10709i | ||||||||
\(890\) | 3.64530e7 | + | 4.93448e8i | 0.0517086 | + | 0.699957i | ||||
\(891\) | 9.27401e7 | + | 3.77516e8i | 0.131110 | + | 0.533706i | ||||
\(892\) | −2.38539e8 | − | 6.13022e7i | −0.336097 | − | 0.0863737i | ||||
\(893\) | −1.00499e9 | + | 1.00499e9i | −1.41126 | + | 1.41126i | ||||
\(894\) | −1.70753e7 | + | 2.60115e8i | −0.0238977 | + | 0.364043i | ||||
\(895\) | 6.11926e8 | − | 4.11682e8i | 0.853551 | − | 0.574239i | ||||
\(896\) | −1.48776e8 | − | 4.84927e8i | −0.206827 | − | 0.674144i | ||||
\(897\) | −1.16008e9 | + | 5.64566e8i | −1.60735 | + | 0.782236i | ||||
\(898\) | 1.10856e9 | + | 6.32475e8i | 1.53085 | + | 0.873402i | ||||
\(899\) | − | 9.05825e7i | − | 0.124671i | ||||||
\(900\) | 3.60626e8 | − | 6.33553e8i | 0.494686 | − | 0.869072i | ||||
\(901\) | −4.26586e7 | −0.0583220 | ||||||||
\(902\) | 9.64380e7 | − | 1.69031e8i | 0.131410 | − | 0.230328i | ||||
\(903\) | 2.29357e8 | + | 4.71285e8i | 0.311493 | + | 0.640060i | ||||
\(904\) | 5.91722e8 | + | 5.73796e8i | 0.800962 | + | 0.776698i | ||||
\(905\) | 3.48619e8 | + | 5.18188e8i | 0.470332 | + | 0.699104i | ||||
\(906\) | 4.12835e6 | + | 271006.i | 0.00555126 | + | 0.000364414i | ||||
\(907\) | −5.67891e8 | − | 5.67891e8i | −0.761102 | − | 0.761102i | 0.215419 | − | 0.976522i | \(-0.430888\pi\) |
−0.976522 | + | 0.215419i | \(0.930888\pi\) | |||||||
\(908\) | −4.53622e8 | − | 1.16576e8i | −0.605949 | − | 0.155723i | ||||
\(909\) | 4.55824e8 | + | 3.57400e8i | 0.606884 | + | 0.475842i | ||||
\(910\) | −9.34794e8 | + | 6.90570e7i | −1.24049 | + | 0.0916397i | ||||
\(911\) | −6.19176e8 | −0.818953 | −0.409476 | − | 0.912321i | \(-0.634289\pi\) | ||||
−0.409476 | + | 0.912321i | \(0.634289\pi\) | |||||||
\(912\) | 1.35557e9 | + | 6.80693e7i | 1.78706 | + | 0.0897360i | ||||
\(913\) | −1.39393e8 | − | 1.39393e8i | −0.183160 | − | 0.183160i | ||||
\(914\) | 8.42946e8 | − | 2.30505e8i | 1.10398 | − | 0.301885i | ||||
\(915\) | 4.28176e8 | − | 7.38101e8i | 0.558932 | − | 0.963502i | ||||
\(916\) | −6.87248e7 | + | 4.06234e7i | −0.0894184 | + | 0.0528554i | ||||
\(917\) | 3.64612e8 | + | 3.64612e8i | 0.472849 | + | 0.472849i | ||||
\(918\) | −2.86847e6 | − | 5.22030e7i | −0.00370785 | − | 0.0674788i | ||||
\(919\) | 1.35264e9 | 1.74276 | 0.871378 | − | 0.490613i | \(-0.163227\pi\) | ||||
0.871378 | + | 0.490613i | \(0.163227\pi\) | |||||||
\(920\) | −7.76678e8 | − | 1.39573e8i | −0.997418 | − | 0.179241i | ||||
\(921\) | 3.37213e8 | − | 9.76595e8i | 0.431644 | − | 1.25007i | ||||
\(922\) | −2.45818e8 | + | 4.30854e8i | −0.313632 | + | 0.549715i | ||||
\(923\) | 7.42255e8 | + | 7.42255e8i | 0.943948 | + | 0.943948i | ||||
\(924\) | 2.99545e8 | − | 6.11496e7i | 0.379705 | − | 0.0775136i | ||||
\(925\) | 3.17912e7 | + | 7.53977e7i | 0.0401681 | + | 0.0952649i | ||||
\(926\) | −1.34791e9 | + | 3.68589e8i | −1.69758 | + | 0.464204i | ||||
\(927\) | −7.36131e7 | − | 6.08221e8i | −0.0924094 | − | 0.763523i | ||||
\(928\) | −2.41482e8 | + | 1.47799e8i | −0.302163 | + | 0.184938i | ||||
\(929\) | −1.14367e9 | −1.42644 | −0.713220 | − | 0.700940i | \(-0.752764\pi\) | ||||
−0.713220 | + | 0.700940i | \(0.752764\pi\) | |||||||
\(930\) | 1.42282e8 | + | 2.44706e8i | 0.176889 | + | 0.304225i | ||||
\(931\) | − | 7.25918e8i | − | 0.899578i | ||||||
\(932\) | 8.40560e8 | + | 2.16016e8i | 1.03830 | + | 0.266832i | ||||
\(933\) | 1.41474e7 | + | 2.90703e7i | 0.0174194 | + | 0.0357935i | ||||
\(934\) | −5.58123e8 | + | 1.52619e8i | −0.684998 | + | 0.187314i | ||||
\(935\) | −5.82845e6 | + | 2.97939e7i | −0.00713047 | + | 0.0364496i | ||||
\(936\) | −1.95863e8 | − | 1.43317e9i | −0.238850 | − | 1.74771i | ||||
\(937\) | −3.22244e8 | + | 3.22244e8i | −0.391711 | + | 0.391711i | −0.875297 | − | 0.483586i | \(-0.839334\pi\) |
0.483586 | + | 0.875297i | \(0.339334\pi\) | |||||||
\(938\) | 4.15870e8 | − | 7.28913e8i | 0.503906 | − | 0.883216i | ||||
\(939\) | −3.10877e8 | + | 9.00323e8i | −0.375484 | + | 1.08743i | ||||
\(940\) | 3.09540e8 | + | 8.73209e8i | 0.372678 | + | 1.05132i | ||||
\(941\) | − | 2.41565e8i | − | 0.289911i | −0.989438 | − | 0.144956i | \(-0.953696\pi\) | ||
0.989438 | − | 0.144956i | \(-0.0463040\pi\) | |||||||
\(942\) | −1.78085e8 | − | 2.03109e8i | −0.213047 | − | 0.242983i | ||||
\(943\) | 2.89942e8 | − | 2.89942e8i | 0.345760 | − | 0.345760i | ||||
\(944\) | −8.72566e8 | − | 4.80196e8i | −1.03725 | − | 0.570824i | ||||
\(945\) | −2.34596e8 | + | 5.46897e8i | −0.277987 | + | 0.648052i | ||||
\(946\) | 4.53035e8 | − | 1.23883e8i | 0.535129 | − | 0.146332i | ||||
\(947\) | −4.37064e8 | + | 4.37064e8i | −0.514630 | + | 0.514630i | −0.915942 | − | 0.401312i | \(-0.868554\pi\) |
0.401312 | + | 0.915942i | \(0.368554\pi\) | |||||||
\(948\) | 1.78795e8 | − | 2.70518e8i | 0.209860 | − | 0.317520i | ||||
\(949\) | − | 2.08305e9i | − | 2.43726i | ||||||
\(950\) | 1.20631e9 | − | 9.47784e8i | 1.40698 | − | 1.10545i | ||||
\(951\) | −3.49771e8 | + | 1.01296e9i | −0.406670 | + | 1.17775i | ||||
\(952\) | −4.11119e7 | + | 632306.i | −0.0476494 | + | 0.000732853i | ||||
\(953\) | −1.06835e9 | + | 1.06835e9i | −1.23434 | + | 1.23434i | −0.272054 | + | 0.962282i | \(0.587703\pi\) |
−0.962282 | + | 0.272054i | \(0.912297\pi\) | |||||||
\(954\) | −2.90429e8 | + | 6.90725e8i | −0.334500 | + | 0.795536i | ||||
\(955\) | −6.87340e8 | − | 1.02166e9i | −0.789153 | − | 1.17300i | ||||
\(956\) | 3.31276e7 | − | 1.95818e7i | 0.0379155 | − | 0.0224119i | ||||
\(957\) | −7.46730e7 | − | 1.53439e8i | −0.0851977 | − | 0.175065i | ||||
\(958\) | −6.87606e8 | + | 1.20519e9i | −0.782065 | + | 1.37076i | ||||
\(959\) | 5.16544e8i | 0.585667i | ||||||||
\(960\) | 4.20203e8 | − | 7.78580e8i | 0.474948 | − | 0.880014i | ||||
\(961\) | 7.77593e8 | 0.876157 | ||||||||
\(962\) | 1.41022e8 | + | 8.04580e7i | 0.158402 | + | 0.0903741i | ||||
\(963\) | 2.00297e8 | + | 1.65493e9i | 0.224282 | + | 1.85311i | ||||
\(964\) | 4.10426e8 | + | 6.94340e8i | 0.458146 | + | 0.775071i | ||||
\(965\) | −5.12890e7 | + | 2.62180e8i | −0.0570746 | + | 0.291754i | ||||
\(966\) | 6.42781e8 | + | 4.21955e7i | 0.713069 | + | 0.0468096i | ||||
\(967\) | 2.57572e8 | + | 2.57572e8i | 0.284852 | + | 0.284852i | 0.835041 | − | 0.550188i | \(-0.185444\pi\) |
−0.550188 | + | 0.835041i | \(0.685444\pi\) | |||||||
\(968\) | 9.73576e6 | + | 6.33010e8i | 0.0107336 | + | 0.697886i | ||||
\(969\) | 3.59094e7 | − | 1.03996e8i | 0.0394673 | − | 0.114300i | ||||
\(970\) | −1.15760e9 | − | 9.98333e8i | −1.26836 | − | 1.09386i | ||||
\(971\) | −4.31301e8 | −0.471110 | −0.235555 | − | 0.971861i | \(-0.575691\pi\) | ||||
−0.235555 | + | 0.971861i | \(0.575691\pi\) | |||||||
\(972\) | −8.64796e8 | − | 3.08964e8i | −0.941705 | − | 0.336441i | ||||
\(973\) | −1.52794e8 | − | 1.52794e8i | −0.165870 | − | 0.165870i | ||||
\(974\) | −2.00843e8 | − | 7.34475e8i | −0.217360 | − | 0.794877i | ||||
\(975\) | −1.23040e9 | − | 1.07664e9i | −1.32749 | − | 1.16160i | ||||
\(976\) | 4.99300e8 | − | 9.07280e8i | 0.537047 | − | 0.975870i | ||||
\(977\) | −8.78779e7 | − | 8.78779e7i | −0.0942315 | − | 0.0942315i | 0.658420 | − | 0.752651i | \(-0.271225\pi\) |
−0.752651 | + | 0.658420i | \(0.771225\pi\) | |||||||
\(978\) | −9.55033e7 | − | 1.08923e8i | −0.102094 | − | 0.116440i | ||||
\(979\) | −3.61932e8 | −0.385726 | ||||||||
\(980\) | −4.27157e8 | − | 2.03572e8i | −0.453847 | − | 0.216292i | ||||
\(981\) | −2.53762e8 | − | 1.98968e8i | −0.268794 | − | 0.210754i | ||||
\(982\) | 7.29581e8 | + | 4.16252e8i | 0.770440 | + | 0.439563i | ||||
\(983\) | 4.38373e8 | + | 4.38373e8i | 0.461512 | + | 0.461512i | 0.899151 | − | 0.437639i | \(-0.144185\pi\) |
−0.437639 | + | 0.899151i | \(0.644185\pi\) | |||||||
\(984\) | 2.07505e8 | + | 4.10228e8i | 0.217793 | + | 0.430566i | ||||
\(985\) | 3.02748e7 | − | 1.54759e8i | 0.0316790 | − | 0.161937i | ||||
\(986\) | 6.05346e6 | + | 2.21373e7i | 0.00631499 | + | 0.0230937i | ||||
\(987\) | −3.30939e8 | − | 6.80016e8i | −0.344188 | − | 0.707242i | ||||
\(988\) | 7.57656e8 | − | 2.94819e9i | 0.785599 | − | 3.05692i | ||||
\(989\) | 9.89598e8 | 1.02299 | ||||||||
\(990\) | 4.42740e8 | + | 2.97218e8i | 0.456292 | + | 0.306316i | ||||
\(991\) | 2.85103e7i | 0.0292942i | 0.999893 | + | 0.0146471i | \(0.00466248\pi\) | ||||
−0.999893 | + | 0.0146471i | \(0.995338\pi\) | |||||||
\(992\) | 1.79335e8 | + | 2.93010e8i | 0.183709 | + | 0.300156i | ||||
\(993\) | 5.18581e8 | − | 2.52374e8i | 0.529626 | − | 0.257749i | ||||
\(994\) | −1.38243e8 | − | 5.05548e8i | −0.140761 | − | 0.514759i | ||||
\(995\) | −6.70502e7 | − | 9.96637e7i | −0.0680661 | − | 0.101174i | ||||
\(996\) | 4.56280e8 | − | 9.31456e7i | 0.461799 | − | 0.0942723i | ||||
\(997\) | −2.85361e8 | + | 2.85361e8i | −0.287944 | + | 0.287944i | −0.836267 | − | 0.548323i | \(-0.815267\pi\) |
0.548323 | + | 0.836267i | \(0.315267\pi\) | |||||||
\(998\) | −8.45244e7 | − | 4.82241e7i | −0.0850335 | − | 0.0485146i | ||||
\(999\) | 8.65931e7 | − | 5.59155e7i | 0.0868534 | − | 0.0560836i |
(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 | 60.7.l.a.23.12 | ✓ | 136 | |
3.2 | odd | 2 | inner | 60.7.l.a.23.57 | yes | 136 | |
4.3 | odd | 2 | inner | 60.7.l.a.23.23 | yes | 136 | |
5.2 | odd | 4 | inner | 60.7.l.a.47.46 | yes | 136 | |
12.11 | even | 2 | inner | 60.7.l.a.23.46 | yes | 136 | |
15.2 | even | 4 | inner | 60.7.l.a.47.23 | yes | 136 | |
20.7 | even | 4 | inner | 60.7.l.a.47.57 | yes | 136 | |
60.47 | odd | 4 | inner | 60.7.l.a.47.12 | yes | 136 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
60.7.l.a.23.12 | ✓ | 136 | 1.1 | even | 1 | trivial | |
60.7.l.a.23.23 | yes | 136 | 4.3 | odd | 2 | inner | |
60.7.l.a.23.46 | yes | 136 | 12.11 | even | 2 | inner | |
60.7.l.a.23.57 | yes | 136 | 3.2 | odd | 2 | inner | |
60.7.l.a.47.12 | yes | 136 | 60.47 | odd | 4 | inner | |
60.7.l.a.47.23 | yes | 136 | 15.2 | even | 4 | inner | |
60.7.l.a.47.46 | yes | 136 | 5.2 | odd | 4 | inner | |
60.7.l.a.47.57 | yes | 136 | 20.7 | even | 4 | inner |