Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [18,7,Mod(5,18)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(18, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([5]))
N = Newforms(chi, 7, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("18.5");
S:= CuspForms(chi, 7);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 18 = 2 \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 7 \) |
Character orbit: | \([\chi]\) | \(=\) | 18.d (of order \(6\), 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: | \(4.14097350516\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} + 370x^{10} + 51793x^{8} + 3491832x^{6} + 117603792x^{4} + 1832032512x^{2} + 10453017600 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2^{10}\cdot 3^{10} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 11.1 | ||
Root | \(-4.28281i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 18.11 |
Dual form | 18.7.d.a.5.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/18\mathbb{Z}\right)^\times\).
\(n\) | \(11\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −4.89898 | − | 2.82843i | −0.612372 | − | 0.353553i | ||||
\(3\) | −22.5447 | + | 14.8572i | −0.834989 | + | 0.550267i | ||||
\(4\) | 16.0000 | + | 27.7128i | 0.250000 | + | 0.433013i | ||||
\(5\) | 156.951 | − | 90.6160i | 1.25561 | − | 0.724928i | 0.283394 | − | 0.959004i | \(-0.408540\pi\) |
0.972218 | + | 0.234076i | \(0.0752064\pi\) | |||||||
\(6\) | 152.469 | − | 9.01919i | 0.705873 | − | 0.0417555i | ||||
\(7\) | 104.306 | − | 180.663i | 0.304099 | − | 0.526715i | −0.672961 | − | 0.739678i | \(-0.734978\pi\) |
0.977060 | + | 0.212963i | \(0.0683113\pi\) | |||||||
\(8\) | − | 181.019i | − | 0.353553i | ||||||
\(9\) | 287.526 | − | 669.903i | 0.394412 | − | 0.918934i | ||||
\(10\) | −1025.20 | −1.02520 | ||||||||
\(11\) | 2301.99 | + | 1329.05i | 1.72952 | + | 0.998538i | 0.891782 | + | 0.452465i | \(0.149455\pi\) |
0.837737 | + | 0.546074i | \(0.183878\pi\) | |||||||
\(12\) | −772.450 | − | 387.061i | −0.447020 | − | 0.223994i | ||||
\(13\) | −438.599 | − | 759.676i | −0.199636 | − | 0.345779i | 0.748775 | − | 0.662825i | \(-0.230642\pi\) |
−0.948410 | + | 0.317046i | \(0.897309\pi\) | |||||||
\(14\) | −1021.99 | + | 590.043i | −0.372444 | + | 0.215030i | ||||
\(15\) | −2192.12 | + | 4374.77i | −0.649517 | + | 1.29623i | ||||
\(16\) | −512.000 | + | 886.810i | −0.125000 | + | 0.216506i | ||||
\(17\) | − | 4428.53i | − | 0.901389i | −0.892678 | − | 0.450695i | \(-0.851176\pi\) | ||
0.892678 | − | 0.450695i | \(-0.148824\pi\) | |||||||
\(18\) | −3303.36 | + | 2468.59i | −0.566419 | + | 0.423284i | ||||
\(19\) | −4194.21 | −0.611491 | −0.305745 | − | 0.952113i | \(-0.598906\pi\) | ||||
−0.305745 | + | 0.952113i | \(0.598906\pi\) | |||||||
\(20\) | 5022.45 | + | 2899.71i | 0.627806 | + | 0.362464i | ||||
\(21\) | 332.607 | + | 5622.69i | 0.0359148 | + | 0.607136i | ||||
\(22\) | −7518.27 | − | 13022.0i | −0.706073 | − | 1.22295i | ||||
\(23\) | 10399.9 | − | 6004.40i | 0.854766 | − | 0.493499i | −0.00749035 | − | 0.999972i | \(-0.502384\pi\) |
0.862256 | + | 0.506473i | \(0.169051\pi\) | |||||||
\(24\) | 2689.44 | + | 4081.02i | 0.194549 | + | 0.295213i | ||||
\(25\) | 8610.01 | − | 14913.0i | 0.551041 | − | 0.954431i | ||||
\(26\) | 4962.18i | 0.282327i | ||||||||
\(27\) | 3470.70 | + | 19374.6i | 0.176330 | + | 0.984331i | ||||
\(28\) | 6675.58 | 0.304099 | ||||||||
\(29\) | 2288.79 | + | 1321.43i | 0.0938450 | + | 0.0541815i | 0.546188 | − | 0.837663i | \(-0.316078\pi\) |
−0.452343 | + | 0.891844i | \(0.649412\pi\) | |||||||
\(30\) | 23112.9 | − | 15231.7i | 0.856033 | − | 0.564136i | ||||
\(31\) | −2902.50 | − | 5027.28i | −0.0974289 | − | 0.168752i | 0.813191 | − | 0.581997i | \(-0.197729\pi\) |
−0.910620 | + | 0.413245i | \(0.864395\pi\) | |||||||
\(32\) | 5016.55 | − | 2896.31i | 0.153093 | − | 0.0883883i | ||||
\(33\) | −71643.7 | + | 4238.04i | −1.99359 | + | 0.117930i | ||||
\(34\) | −12525.8 | + | 21695.3i | −0.318689 | + | 0.551986i | ||||
\(35\) | − | 37807.1i | − | 0.881799i | ||||||
\(36\) | 23165.3 | − | 2750.28i | 0.496513 | − | 0.0589481i | ||||
\(37\) | 41579.5 | 0.820869 | 0.410435 | − | 0.911890i | \(-0.365377\pi\) | ||||
0.410435 | + | 0.911890i | \(0.365377\pi\) | |||||||
\(38\) | 20547.4 | + | 11863.0i | 0.374460 | + | 0.216195i | ||||
\(39\) | 21174.8 | + | 10610.3i | 0.356964 | + | 0.178868i | ||||
\(40\) | −16403.2 | − | 28411.3i | −0.256301 | − | 0.443926i | ||||
\(41\) | −64721.2 | + | 37366.8i | −0.939063 | + | 0.542168i | −0.889666 | − | 0.456611i | \(-0.849063\pi\) |
−0.0493965 | + | 0.998779i | \(0.515730\pi\) | |||||||
\(42\) | 14273.9 | − | 28486.2i | 0.192662 | − | 0.384491i | ||||
\(43\) | −73052.9 | + | 126531.i | −0.918824 | + | 1.59145i | −0.117620 | + | 0.993059i | \(0.537526\pi\) |
−0.801204 | + | 0.598391i | \(0.795807\pi\) | |||||||
\(44\) | 85059.5i | 0.998538i | ||||||||
\(45\) | −15576.2 | − | 131197.i | −0.170933 | − | 1.43974i | ||||
\(46\) | −67932.1 | −0.697913 | ||||||||
\(47\) | −22319.7 | − | 12886.3i | −0.214978 | − | 0.124118i | 0.388645 | − | 0.921388i | \(-0.372943\pi\) |
−0.603623 | + | 0.797270i | \(0.706277\pi\) | |||||||
\(48\) | −1632.65 | − | 27599.8i | −0.0147628 | − | 0.249564i | ||||
\(49\) | 37065.1 | + | 64198.6i | 0.315048 | + | 0.545679i | ||||
\(50\) | −84360.6 | + | 48705.6i | −0.674885 | + | 0.389645i | ||||
\(51\) | 65795.6 | + | 99839.7i | 0.496005 | + | 0.752650i | ||||
\(52\) | 14035.2 | − | 24309.6i | 0.0998178 | − | 0.172889i | ||||
\(53\) | − | 197505.i | − | 1.32663i | −0.748340 | − | 0.663316i | \(-0.769149\pi\) | ||
0.748340 | − | 0.663316i | \(-0.230851\pi\) | |||||||
\(54\) | 37796.7 | − | 104732.i | 0.240034 | − | 0.665119i | ||||
\(55\) | 481734. | 2.89547 | ||||||||
\(56\) | −32703.5 | − | 18881.4i | −0.186222 | − | 0.107515i | ||||
\(57\) | 94557.3 | − | 62314.3i | 0.510588 | − | 0.336483i | ||||
\(58\) | −7475.15 | − | 12947.3i | −0.0383121 | − | 0.0663585i | ||||
\(59\) | −31321.5 | + | 18083.5i | −0.152506 | + | 0.0880493i | −0.574311 | − | 0.818637i | \(-0.694730\pi\) |
0.421805 | + | 0.906687i | \(0.361397\pi\) | |||||||
\(60\) | −156311. | + | 9246.50i | −0.723663 | + | 0.0428079i | ||||
\(61\) | −11967.3 | + | 20728.0i | −0.0527239 | + | 0.0913204i | −0.891183 | − | 0.453644i | \(-0.850124\pi\) |
0.838459 | + | 0.544965i | \(0.183457\pi\) | |||||||
\(62\) | 32838.1i | 0.137785i | ||||||||
\(63\) | −91036.1 | − | 121820.i | −0.364076 | − | 0.487189i | ||||
\(64\) | −32768.0 | −0.125000 | ||||||||
\(65\) | −137678. | − | 79488.2i | −0.501330 | − | 0.289443i | ||||
\(66\) | 362968. | + | 181877.i | 1.26252 | + | 0.632624i | ||||
\(67\) | −176540. | − | 305776.i | −0.586973 | − | 1.01667i | −0.994626 | − | 0.103530i | \(-0.966986\pi\) |
0.407653 | − | 0.913137i | \(-0.366347\pi\) | |||||||
\(68\) | 122727. | − | 70856.4i | 0.390313 | − | 0.225347i | ||||
\(69\) | −145255. | + | 289881.i | −0.442163 | + | 0.882416i | ||||
\(70\) | −106935. | + | 185216.i | −0.311763 | + | 0.539989i | ||||
\(71\) | 496781.i | 1.38800i | 0.719974 | + | 0.694001i | \(0.244154\pi\) | ||||
−0.719974 | + | 0.694001i | \(0.755846\pi\) | |||||||
\(72\) | −121265. | − | 52047.8i | −0.324892 | − | 0.139446i | ||||
\(73\) | −382139. | −0.982319 | −0.491160 | − | 0.871070i | \(-0.663427\pi\) | ||||
−0.491160 | + | 0.871070i | \(0.663427\pi\) | |||||||
\(74\) | −203697. | − | 117605.i | −0.502678 | − | 0.290221i | ||||
\(75\) | 27455.3 | + | 464129.i | 0.0650792 | + | 1.10016i | ||||
\(76\) | −67107.4 | − | 116233.i | −0.152873 | − | 0.264783i | ||||
\(77\) | 480222. | − | 277257.i | 1.05189 | − | 0.607309i | ||||
\(78\) | −73724.2 | − | 111871.i | −0.155355 | − | 0.235740i | ||||
\(79\) | −193328. | + | 334855.i | −0.392116 | + | 0.679165i | −0.992728 | − | 0.120376i | \(-0.961590\pi\) |
0.600613 | + | 0.799540i | \(0.294923\pi\) | |||||||
\(80\) | 185582.i | 0.362464i | ||||||||
\(81\) | −366098. | − | 385229.i | −0.688879 | − | 0.724877i | ||||
\(82\) | 422757. | 0.766742 | ||||||||
\(83\) | 359691. | + | 207667.i | 0.629064 | + | 0.363190i | 0.780389 | − | 0.625294i | \(-0.215021\pi\) |
−0.151326 | + | 0.988484i | \(0.548354\pi\) | |||||||
\(84\) | −150499. | + | 99180.5i | −0.253919 | + | 0.167336i | ||||
\(85\) | −401295. | − | 695064.i | −0.653442 | − | 1.13180i | ||||
\(86\) | 715770. | − | 413250.i | 1.12533 | − | 0.649707i | ||||
\(87\) | −71232.8 | + | 4213.73i | −0.108174 | + | 0.00639896i | ||||
\(88\) | 240585. | − | 416705.i | 0.353037 | − | 0.611477i | ||||
\(89\) | − | 405654.i | − | 0.575421i | −0.957717 | − | 0.287710i | \(-0.907106\pi\) | ||
0.957717 | − | 0.287710i | \(-0.0928941\pi\) | |||||||
\(90\) | −294773. | + | 686786.i | −0.404352 | + | 0.942094i | ||||
\(91\) | −182994. | −0.242836 | ||||||||
\(92\) | 332798. | + | 192141.i | 0.427383 | + | 0.246750i | ||||
\(93\) | 140128. | + | 70215.4i | 0.174211 | + | 0.0872939i | ||||
\(94\) | 72895.7 | + | 126259.i | 0.0877644 | + | 0.152012i | ||||
\(95\) | −658288. | + | 380063.i | −0.767795 | + | 0.443287i | ||||
\(96\) | −70065.6 | + | 139828.i | −0.0791938 | + | 0.158045i | ||||
\(97\) | −178244. | + | 308727.i | −0.195298 | + | 0.338267i | −0.946998 | − | 0.321239i | \(-0.895901\pi\) |
0.751700 | + | 0.659505i | \(0.229234\pi\) | |||||||
\(98\) | − | 419343.i | − | 0.445545i | ||||||
\(99\) | 1.55222e6 | − | 1.15997e6i | 1.59973 | − | 1.19548i | ||||
\(100\) | 551041. | 0.551041 | ||||||||
\(101\) | 1.41963e6 | + | 819621.i | 1.37787 | + | 0.795516i | 0.991903 | − | 0.126995i | \(-0.0405332\pi\) |
0.385971 | + | 0.922511i | \(0.373867\pi\) | |||||||
\(102\) | −39941.7 | − | 675211.i | −0.0376380 | − | 0.636266i | ||||
\(103\) | −462737. | − | 801484.i | −0.423470 | − | 0.733472i | 0.572806 | − | 0.819691i | \(-0.305855\pi\) |
−0.996276 | + | 0.0862192i | \(0.972521\pi\) | |||||||
\(104\) | −137516. | + | 79394.9i | −0.122251 | + | 0.0705818i | ||||
\(105\) | 561709. | + | 852350.i | 0.485225 | + | 0.736292i | ||||
\(106\) | −558628. | + | 967573.i | −0.469035 | + | 0.812393i | ||||
\(107\) | − | 266819.i | − | 0.217804i | −0.994053 | − | 0.108902i | \(-0.965267\pi\) | ||
0.994053 | − | 0.108902i | \(-0.0347334\pi\) | |||||||
\(108\) | −481393. | + | 406176.i | −0.382145 | + | 0.322436i | ||||
\(109\) | 169960. | 0.131240 | 0.0656200 | − | 0.997845i | \(-0.479097\pi\) | ||||
0.0656200 | + | 0.997845i | \(0.479097\pi\) | |||||||
\(110\) | −2.36001e6 | − | 1.36255e6i | −1.77311 | − | 1.02370i | ||||
\(111\) | −937397. | + | 617756.i | −0.685417 | + | 0.451698i | ||||
\(112\) | 106809. | + | 184999.i | 0.0760247 | + | 0.131679i | ||||
\(113\) | −1.65439e6 | + | 955161.i | −1.14657 | + | 0.661974i | −0.948050 | − | 0.318122i | \(-0.896948\pi\) |
−0.198523 | + | 0.980096i | \(0.563615\pi\) | |||||||
\(114\) | −639486. | + | 37828.4i | −0.431635 | + | 0.0255331i | ||||
\(115\) | 1.08819e6 | − | 1.88480e6i | 0.715503 | − | 1.23929i | ||||
\(116\) | 84571.6i | 0.0541815i | ||||||||
\(117\) | −635018. | + | 75392.0i | −0.396486 | + | 0.0470726i | ||||
\(118\) | 204591. | 0.124520 | ||||||||
\(119\) | −800071. | − | 461921.i | −0.474775 | − | 0.274111i | ||||
\(120\) | 791918. | + | 396816.i | 0.458286 | + | 0.229639i | ||||
\(121\) | 2.64699e6 | + | 4.58473e6i | 1.49416 | + | 2.58796i | ||||
\(122\) | 117255. | − | 67697.4i | 0.0645733 | − | 0.0372814i | ||||
\(123\) | 903952. | − | 1.80400e6i | 0.485769 | − | 0.969440i | ||||
\(124\) | 92880.1 | − | 160873.i | 0.0487144 | − | 0.0843759i | ||||
\(125\) | − | 289070.i | − | 0.148004i | ||||||
\(126\) | 101424. | + | 854284.i | 0.0507026 | + | 0.427061i | ||||
\(127\) | −1.75663e6 | −0.857571 | −0.428786 | − | 0.903406i | \(-0.641058\pi\) | ||||
−0.428786 | + | 0.903406i | \(0.641058\pi\) | |||||||
\(128\) | 160530. | + | 92681.9i | 0.0765466 | + | 0.0441942i | ||||
\(129\) | −232949. | − | 3.93797e6i | −0.108515 | − | 1.83444i | ||||
\(130\) | 449653. | + | 778822.i | 0.204667 | + | 0.354493i | ||||
\(131\) | −2.07548e6 | + | 1.19828e6i | −0.923221 | + | 0.533022i | −0.884661 | − | 0.466234i | \(-0.845610\pi\) |
−0.0385598 | + | 0.999256i | \(0.512277\pi\) | |||||||
\(132\) | −1.26375e6 | − | 1.91764e6i | −0.549463 | − | 0.833768i | ||||
\(133\) | −437481. | + | 757740.i | −0.185954 | + | 0.322081i | ||||
\(134\) | 1.99732e6i | 0.830105i | ||||||||
\(135\) | 2.30038e6 | + | 2.72637e6i | 0.934971 | + | 1.10811i | ||||
\(136\) | −801649. | −0.318689 | ||||||||
\(137\) | 1.15495e6 | + | 666808.i | 0.449159 | + | 0.259322i | 0.707475 | − | 0.706739i | \(-0.249834\pi\) |
−0.258316 | + | 0.966060i | \(0.583168\pi\) | |||||||
\(138\) | 1.53151e6 | − | 1.00928e6i | 0.582750 | − | 0.384039i | ||||
\(139\) | −1.08878e6 | − | 1.88583e6i | −0.405412 | − | 0.702194i | 0.588957 | − | 0.808164i | \(-0.299539\pi\) |
−0.994369 | + | 0.105970i | \(0.966205\pi\) | |||||||
\(140\) | 1.04774e6 | − | 604914.i | 0.381830 | − | 0.220450i | ||||
\(141\) | 694644. | − | 41091.3i | 0.247802 | − | 0.0146586i | ||||
\(142\) | 1.40511e6 | − | 2.43372e6i | 0.490733 | − | 0.849974i | ||||
\(143\) | − | 2.33169e6i | − | 0.797375i | ||||||
\(144\) | 446863. | + | 597971.i | 0.149654 | + | 0.200259i | ||||
\(145\) | 478971. | 0.157111 | ||||||||
\(146\) | 1.87209e6 | + | 1.08085e6i | 0.601545 | + | 0.347302i | ||||
\(147\) | −1.78943e6 | − | 896653.i | −0.563330 | − | 0.282275i | ||||
\(148\) | 665272. | + | 1.15228e6i | 0.205217 | + | 0.355447i | ||||
\(149\) | 3.35022e6 | − | 1.93425e6i | 1.01278 | − | 0.584727i | 0.100774 | − | 0.994909i | \(-0.467868\pi\) |
0.912004 | + | 0.410182i | \(0.134535\pi\) | |||||||
\(150\) | 1.17825e6 | − | 2.35142e6i | 0.349112 | − | 0.696716i | ||||
\(151\) | −480879. | + | 832907.i | −0.139671 | + | 0.241917i | −0.927372 | − | 0.374141i | \(-0.877938\pi\) |
0.787701 | + | 0.616057i | \(0.211271\pi\) | |||||||
\(152\) | 759234.i | 0.216195i | ||||||||
\(153\) | −2.96668e6 | − | 1.27332e6i | −0.828317 | − | 0.355519i | ||||
\(154\) | −3.13680e6 | −0.858864 | ||||||||
\(155\) | −911105. | − | 526027.i | −0.244666 | − | 0.141258i | ||||
\(156\) | 44754.9 | + | 756577.i | 0.0117887 | + | 0.199287i | ||||
\(157\) | 796173. | + | 1.37901e6i | 0.205735 | + | 0.356344i | 0.950367 | − | 0.311132i | \(-0.100708\pi\) |
−0.744632 | + | 0.667476i | \(0.767375\pi\) | |||||||
\(158\) | 1.89422e6 | − | 1.09363e6i | 0.480242 | − | 0.277268i | ||||
\(159\) | 2.93437e6 | + | 4.45269e6i | 0.730002 | + | 1.10772i | ||||
\(160\) | 524904. | − | 909160.i | 0.128150 | − | 0.221963i | ||||
\(161\) | − | 2.50518e6i | − | 0.600290i | ||||||
\(162\) | 703916. | + | 2.92271e6i | 0.165568 | + | 0.687450i | ||||
\(163\) | 702280. | 0.162161 | 0.0810807 | − | 0.996708i | \(-0.474163\pi\) | ||||
0.0810807 | + | 0.996708i | \(0.474163\pi\) | |||||||
\(164\) | −2.07108e6 | − | 1.19574e6i | −0.469531 | − | 0.271084i | ||||
\(165\) | −1.08606e7 | + | 7.15723e6i | −2.41769 | + | 1.59328i | ||||
\(166\) | −1.17474e6 | − | 2.03472e6i | −0.256814 | − | 0.444815i | ||||
\(167\) | −3.27789e6 | + | 1.89249e6i | −0.703794 | + | 0.406335i | −0.808759 | − | 0.588140i | \(-0.799860\pi\) |
0.104965 | + | 0.994476i | \(0.466527\pi\) | |||||||
\(168\) | 1.01782e6 | − | 60208.3i | 0.214655 | − | 0.0126978i | ||||
\(169\) | 2.02867e6 | − | 3.51375e6i | 0.420291 | − | 0.727966i | ||||
\(170\) | 4.54014e6i | 0.924107i | ||||||||
\(171\) | −1.20595e6 | + | 2.80972e6i | −0.241179 | + | 0.561919i | ||||
\(172\) | −4.67539e6 | −0.918824 | ||||||||
\(173\) | 3.78706e6 | + | 2.18646e6i | 0.731416 | + | 0.422283i | 0.818940 | − | 0.573879i | \(-0.194562\pi\) |
−0.0875242 | + | 0.996162i | \(0.527896\pi\) | |||||||
\(174\) | 360886. | + | 180834.i | 0.0685050 | + | 0.0343267i | ||||
\(175\) | −1.79615e6 | − | 3.11102e6i | −0.335142 | − | 0.580483i | ||||
\(176\) | −2.35724e6 | + | 1.36095e6i | −0.432380 | + | 0.249635i | ||||
\(177\) | 437463. | − | 873037.i | 0.0788900 | − | 0.157439i | ||||
\(178\) | −1.14736e6 | + | 1.98729e6i | −0.203442 | + | 0.352372i | ||||
\(179\) | 49288.2i | 0.00859377i | 0.999991 | + | 0.00429688i | \(0.00136775\pi\) | ||||
−0.999991 | + | 0.00429688i | \(0.998632\pi\) | |||||||
\(180\) | 3.38661e6 | − | 2.53081e6i | 0.580694 | − | 0.433952i | ||||
\(181\) | −4.52205e6 | −0.762605 | −0.381303 | − | 0.924450i | \(-0.624524\pi\) | ||||
−0.381303 | + | 0.924450i | \(0.624524\pi\) | |||||||
\(182\) | 896484. | + | 517585.i | 0.148706 | + | 0.0858554i | ||||
\(183\) | −38160.9 | − | 645107.i | −0.00622681 | − | 0.105264i | ||||
\(184\) | −1.08691e6 | − | 1.88259e6i | −0.174478 | − | 0.302205i | ||||
\(185\) | 6.52596e6 | − | 3.76777e6i | 1.03069 | − | 0.595071i | ||||
\(186\) | −487883. | − | 740324.i | −0.0758187 | − | 0.115049i | ||||
\(187\) | 5.88575e6 | − | 1.01944e7i | 0.900072 | − | 1.55897i | ||||
\(188\) | − | 824721.i | − | 0.124118i | ||||||
\(189\) | 3.86229e6 | + | 1.39386e6i | 0.572083 | + | 0.206458i | ||||
\(190\) | 4.29992e6 | 0.626902 | ||||||||
\(191\) | 1.07831e6 | + | 622561.i | 0.154754 | + | 0.0893473i | 0.575377 | − | 0.817888i | \(-0.304855\pi\) |
−0.420623 | + | 0.907235i | \(0.638189\pi\) | |||||||
\(192\) | 738744. | − | 486841.i | 0.104374 | − | 0.0687834i | ||||
\(193\) | 5.47671e6 | + | 9.48595e6i | 0.761812 | + | 1.31950i | 0.941915 | + | 0.335850i | \(0.109024\pi\) |
−0.180103 | + | 0.983648i | \(0.557643\pi\) | |||||||
\(194\) | 1.74642e6 | − | 1.00830e6i | 0.239191 | − | 0.138097i | ||||
\(195\) | 4.28487e6 | − | 253469.i | 0.577875 | − | 0.0341839i | ||||
\(196\) | −1.18608e6 | + | 2.05435e6i | −0.157524 | + | 0.272839i | ||||
\(197\) | − | 1.07910e7i | − | 1.41144i | −0.708492 | − | 0.705719i | \(-0.750624\pi\) | ||
0.708492 | − | 0.705719i | \(-0.249376\pi\) | |||||||
\(198\) | −1.08852e7 | + | 1.29234e6i | −1.40230 | + | 0.166487i | ||||
\(199\) | 5.05948e6 | 0.642017 | 0.321008 | − | 0.947076i | \(-0.395978\pi\) | ||||
0.321008 | + | 0.947076i | \(0.395978\pi\) | |||||||
\(200\) | −2.69954e6 | − | 1.55858e6i | −0.337442 | − | 0.194822i | ||||
\(201\) | 8.52301e6 | + | 4.27073e6i | 1.04955 | + | 0.525913i | ||||
\(202\) | −4.63648e6 | − | 8.03061e6i | −0.562515 | − | 0.974304i | ||||
\(203\) | 477468. | − | 275666.i | 0.0570763 | − | 0.0329530i | ||||
\(204\) | −1.71411e6 | + | 3.42082e6i | −0.201906 | + | 0.402939i | ||||
\(205\) | −6.77205e6 | + | 1.17295e7i | −0.786066 | + | 1.36151i | ||||
\(206\) | 5.23527e6i | 0.598877i | ||||||||
\(207\) | −1.03211e6 | − | 8.69337e6i | −0.116363 | − | 0.980115i | ||||
\(208\) | 898251. | 0.0998178 | ||||||||
\(209\) | −9.65504e6 | − | 5.57434e6i | −1.05758 | − | 0.610597i | ||||
\(210\) | −340990. | − | 5.76440e6i | −0.0368200 | − | 0.622438i | ||||
\(211\) | 1.72915e6 | + | 2.99498e6i | 0.184071 | + | 0.318821i | 0.943263 | − | 0.332046i | \(-0.107739\pi\) |
−0.759192 | + | 0.650867i | \(0.774406\pi\) | |||||||
\(212\) | 5.47342e6 | − | 3.16008e6i | 0.574448 | − | 0.331658i | ||||
\(213\) | −7.38079e6 | − | 1.11998e7i | −0.763772 | − | 1.15897i | ||||
\(214\) | −754677. | + | 1.30714e6i | −0.0770052 | + | 0.133377i | ||||
\(215\) | 2.64791e7i | 2.66432i | ||||||||
\(216\) | 3.50718e6 | − | 628264.i | 0.348014 | − | 0.0623420i | ||||
\(217\) | −1.21099e6 | −0.118512 | ||||||||
\(218\) | −832629. | − | 480718.i | −0.0803678 | − | 0.0464003i | ||||
\(219\) | 8.61520e6 | − | 5.67752e6i | 0.820225 | − | 0.540538i | ||||
\(220\) | 7.70775e6 | + | 1.33502e7i | 0.723868 | + | 1.25378i | ||||
\(221\) | −3.36425e6 | + | 1.94235e6i | −0.311681 | + | 0.179949i | ||||
\(222\) | 6.33957e6 | − | 375013.i | 0.579429 | − | 0.0342758i | ||||
\(223\) | −3.78005e6 | + | 6.54724e6i | −0.340865 | + | 0.590396i | −0.984594 | − | 0.174858i | \(-0.944053\pi\) |
0.643728 | + | 0.765254i | \(0.277387\pi\) | |||||||
\(224\) | − | 1.20841e6i | − | 0.107515i | ||||||
\(225\) | −7.51464e6 | − | 1.00557e7i | −0.659722 | − | 0.882809i | ||||
\(226\) | 1.08064e7 | 0.936173 | ||||||||
\(227\) | −4.44652e6 | − | 2.56720e6i | −0.380139 | − | 0.219473i | 0.297740 | − | 0.954647i | \(-0.403767\pi\) |
−0.677879 | + | 0.735174i | \(0.737101\pi\) | |||||||
\(228\) | 3.23982e6 | + | 1.62342e6i | 0.273348 | + | 0.136970i | ||||
\(229\) | −9.32792e6 | − | 1.61564e7i | −0.776744 | − | 1.34536i | −0.933809 | − | 0.357772i | \(-0.883536\pi\) |
0.157064 | − | 0.987588i | \(-0.449797\pi\) | |||||||
\(230\) | −1.06620e7 | + | 6.15573e6i | −0.876308 | + | 0.505937i | ||||
\(231\) | −6.70721e6 | + | 1.33854e7i | −0.544134 | + | 1.08592i | ||||
\(232\) | 239205. | − | 414315.i | 0.0191560 | − | 0.0331792i | ||||
\(233\) | − | 421669.i | − | 0.0333352i | −0.999861 | − | 0.0166676i | \(-0.994694\pi\) | ||
0.999861 | − | 0.0166676i | \(-0.00530571\pi\) | |||||||
\(234\) | 3.32418e6 | + | 1.42676e6i | 0.259440 | + | 0.111353i | ||||
\(235\) | −4.67081e6 | −0.359905 | ||||||||
\(236\) | −1.00229e6 | − | 578671.i | −0.0762529 | − | 0.0440246i | ||||
\(237\) | −616479. | − | 1.04215e7i | −0.0463098 | − | 0.782863i | ||||
\(238\) | 2.61302e6 | + | 4.52589e6i | 0.193826 | + | 0.335717i | ||||
\(239\) | −1.93062e7 | + | 1.11465e7i | −1.41418 | + | 0.816475i | −0.995779 | − | 0.0917886i | \(-0.970742\pi\) |
−0.418398 | + | 0.908264i | \(0.637408\pi\) | |||||||
\(240\) | −2.75723e6 | − | 4.18388e6i | −0.199452 | − | 0.302653i | ||||
\(241\) | −4.91596e6 | + | 8.51470e6i | −0.351202 | + | 0.608300i | −0.986460 | − | 0.164000i | \(-0.947560\pi\) |
0.635258 | + | 0.772300i | \(0.280894\pi\) | |||||||
\(242\) | − | 2.99473e7i | − | 2.11306i | ||||||
\(243\) | 1.39770e7 | + | 3.24567e6i | 0.974082 | + | 0.226196i | ||||
\(244\) | −765908. | −0.0527239 | ||||||||
\(245\) | 1.16348e7 | + | 6.71737e6i | 0.791155 | + | 0.456774i | ||||
\(246\) | −9.53092e6 | + | 6.28099e6i | −0.640221 | + | 0.421913i | ||||
\(247\) | 1.83958e6 | + | 3.18624e6i | 0.122075 | + | 0.211441i | ||||
\(248\) | −910036. | + | 525409.i | −0.0596628 | + | 0.0344463i | ||||
\(249\) | −1.11945e7 | + | 662203.i | −0.725113 | + | 0.0428936i | ||||
\(250\) | −817614. | + | 1.41615e6i | −0.0523273 | + | 0.0906336i | ||||
\(251\) | − | 1.55511e7i | − | 0.983422i | −0.870759 | − | 0.491711i | \(-0.836372\pi\) | ||
0.870759 | − | 0.491711i | \(-0.163628\pi\) | |||||||
\(252\) | 1.91940e6 | − | 4.47199e6i | 0.119940 | − | 0.279447i | ||||
\(253\) | 3.19207e7 | 1.97111 | ||||||||
\(254\) | 8.60572e6 | + | 4.96851e6i | 0.525153 | + | 0.303197i | ||||
\(255\) | 1.93738e7 | + | 9.70787e6i | 1.16841 | + | 0.585468i | ||||
\(256\) | −524288. | − | 908093.i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | −1.84675e6 | + | 1.06622e6i | −0.108795 | + | 0.0628128i | −0.553410 | − | 0.832909i | \(-0.686674\pi\) |
0.444615 | + | 0.895722i | \(0.353340\pi\) | |||||||
\(258\) | −9.99706e6 | + | 1.99509e7i | −0.582121 | + | 1.16173i | ||||
\(259\) | 4.33699e6 | − | 7.51188e6i | 0.249625 | − | 0.432364i | ||||
\(260\) | − | 5.08725e6i | − | 0.289443i | ||||||
\(261\) | 1.54332e6 | − | 1.15332e6i | 0.0868028 | − | 0.0648676i | ||||
\(262\) | 1.35570e7 | 0.753807 | ||||||||
\(263\) | −911256. | − | 526114.i | −0.0500925 | − | 0.0289209i | 0.474745 | − | 0.880124i | \(-0.342540\pi\) |
−0.524837 | + | 0.851203i | \(0.675874\pi\) | |||||||
\(264\) | 767168. | + | 1.29689e7i | 0.0416945 | + | 0.704841i | ||||
\(265\) | −1.78971e7 | − | 3.09987e7i | −0.961712 | − | 1.66573i | ||||
\(266\) | 4.28642e6 | − | 2.47477e6i | 0.227746 | − | 0.131489i | ||||
\(267\) | 6.02689e6 | + | 9.14534e6i | 0.316635 | + | 0.480470i | ||||
\(268\) | 5.64927e6 | − | 9.78483e6i | 0.293486 | − | 0.508333i | ||||
\(269\) | 9.68762e6i | 0.497692i | 0.968543 | + | 0.248846i | \(0.0800512\pi\) | ||||
−0.968543 | + | 0.248846i | \(0.919949\pi\) | |||||||
\(270\) | −3.55817e6 | − | 1.98629e7i | −0.180774 | − | 1.00914i | ||||
\(271\) | −2.05637e7 | −1.03322 | −0.516610 | − | 0.856221i | \(-0.672806\pi\) | ||||
−0.516610 | + | 0.856221i | \(0.672806\pi\) | |||||||
\(272\) | 3.92726e6 | + | 2.26741e6i | 0.195157 | + | 0.112674i | ||||
\(273\) | 4.12554e6 | − | 2.71878e6i | 0.202765 | − | 0.133625i | ||||
\(274\) | −3.77204e6 | − | 6.53336e6i | −0.183368 | − | 0.317603i | ||||
\(275\) | 3.96403e7 | − | 2.28864e7i | 1.90607 | − | 1.10047i | ||||
\(276\) | −1.03575e7 | + | 612692.i | −0.492638 | + | 0.0291417i | ||||
\(277\) | −1.00696e7 | + | 1.74411e7i | −0.473776 | + | 0.820604i | −0.999549 | − | 0.0300208i | \(-0.990443\pi\) |
0.525773 | + | 0.850625i | \(0.323776\pi\) | |||||||
\(278\) | 1.23182e7i | 0.573339i | ||||||||
\(279\) | −4.20234e6 | + | 498920.i | −0.193499 | + | 0.0229730i | ||||
\(280\) | −6.84382e6 | −0.311763 | ||||||||
\(281\) | 1.75923e7 | + | 1.01569e7i | 0.792873 | + | 0.457766i | 0.840973 | − | 0.541077i | \(-0.181983\pi\) |
−0.0480998 | + | 0.998843i | \(0.515317\pi\) | |||||||
\(282\) | −3.51927e6 | − | 1.76345e6i | −0.156930 | − | 0.0786348i | ||||
\(283\) | −1.13075e7 | − | 1.95852e7i | −0.498894 | − | 0.864110i | 0.501105 | − | 0.865387i | \(-0.332927\pi\) |
−0.999999 | + | 0.00127619i | \(0.999594\pi\) | |||||||
\(284\) | −1.37672e7 | + | 7.94850e6i | −0.601022 | + | 0.347000i | ||||
\(285\) | 9.19423e6 | − | 1.83487e7i | 0.397174 | − | 0.792632i | ||||
\(286\) | −6.59501e6 | + | 1.14229e7i | −0.281915 | + | 0.488290i | ||||
\(287\) | 1.55903e7i | 0.659491i | ||||||||
\(288\) | −497855. | − | 4.19337e6i | −0.0208413 | − | 0.175544i | ||||
\(289\) | 4.52573e6 | 0.187497 | ||||||||
\(290\) | −2.34647e6 | − | 1.35474e6i | −0.0962102 | − | 0.0555470i | ||||
\(291\) | −568377. | − | 9.60836e6i | −0.0230652 | − | 0.389915i | ||||
\(292\) | −6.11422e6 | − | 1.05901e7i | −0.245580 | − | 0.425357i | ||||
\(293\) | −3.34647e6 | + | 1.93209e6i | −0.133041 | + | 0.0768111i | −0.565043 | − | 0.825061i | \(-0.691141\pi\) |
0.432002 | + | 0.901872i | \(0.357807\pi\) | |||||||
\(294\) | 6.23027e6 | + | 9.45396e6i | 0.245169 | + | 0.372025i | ||||
\(295\) | −3.27730e6 | + | 5.67646e6i | −0.127659 | + | 0.221111i | ||||
\(296\) | − | 7.52669e6i | − | 0.290221i | ||||||
\(297\) | −1.77604e7 | + | 4.92129e7i | −0.677926 | + | 1.87849i | ||||
\(298\) | −2.18835e7 | −0.826930 | ||||||||
\(299\) | −9.12281e6 | − | 5.26705e6i | −0.341283 | − | 0.197040i | ||||
\(300\) | −1.24230e7 | + | 8.18693e6i | −0.460113 | + | 0.303220i | ||||
\(301\) | 1.52397e7 | + | 2.63959e7i | 0.558827 | + | 0.967916i | ||||
\(302\) | 4.71164e6 | − | 2.72026e6i | 0.171061 | − | 0.0987621i | ||||
\(303\) | −4.41823e7 | + | 2.61358e6i | −1.58826 | + | 0.0939523i | ||||
\(304\) | 2.14744e6 | − | 3.71947e6i | 0.0764363 | − | 0.132392i | ||||
\(305\) | 4.33772e6i | 0.152884i | ||||||||
\(306\) | 1.09322e7 | + | 1.46290e7i | 0.381544 | + | 0.510564i | ||||
\(307\) | −3.02526e6 | −0.104556 | −0.0522779 | − | 0.998633i | \(-0.516648\pi\) | ||||
−0.0522779 | + | 0.998633i | \(0.516648\pi\) | |||||||
\(308\) | 1.53671e7 | + | 8.87221e6i | 0.525945 | + | 0.303654i | ||||
\(309\) | 2.23401e7 | + | 1.11942e7i | 0.757198 | + | 0.379419i | ||||
\(310\) | 2.97566e6 | + | 5.15399e6i | 0.0998844 | + | 0.173005i | ||||
\(311\) | 3.30190e7 | − | 1.90635e7i | 1.09770 | − | 0.633755i | 0.162081 | − | 0.986777i | \(-0.448179\pi\) |
0.935615 | + | 0.353022i | \(0.114846\pi\) | |||||||
\(312\) | 1.92067e6 | − | 3.83304e6i | 0.0632396 | − | 0.126206i | ||||
\(313\) | 1.13148e7 | − | 1.95979e7i | 0.368990 | − | 0.639110i | −0.620417 | − | 0.784272i | \(-0.713037\pi\) |
0.989408 | + | 0.145161i | \(0.0463702\pi\) | |||||||
\(314\) | − | 9.00767e6i | − | 0.290954i | ||||||
\(315\) | −2.53271e7 | − | 1.08705e7i | −0.810315 | − | 0.347792i | ||||
\(316\) | −1.23730e7 | −0.392116 | ||||||||
\(317\) | −2.07004e7 | − | 1.19514e7i | −0.649831 | − | 0.375180i | 0.138560 | − | 0.990354i | \(-0.455753\pi\) |
−0.788392 | + | 0.615174i | \(0.789086\pi\) | |||||||
\(318\) | −1.78133e6 | − | 3.01133e7i | −0.0553942 | − | 0.936433i | ||||
\(319\) | 3.51251e6 | + | 6.08385e6i | 0.108205 | + | 0.187416i | ||||
\(320\) | −5.14299e6 | + | 2.96930e6i | −0.156951 | + | 0.0906160i | ||||
\(321\) | 3.96418e6 | + | 6.01535e6i | 0.119850 | + | 0.181864i | ||||
\(322\) | −7.08572e6 | + | 1.22728e7i | −0.212235 | + | 0.367601i | ||||
\(323\) | 1.85742e7i | 0.551191i | ||||||||
\(324\) | 4.81821e6 | − | 1.63093e7i | 0.141661 | − | 0.479512i | ||||
\(325\) | −1.51054e7 | −0.440029 | ||||||||
\(326\) | −3.44045e6 | − | 1.98635e6i | −0.0993031 | − | 0.0573327i | ||||
\(327\) | −3.83169e6 | + | 2.52513e6i | −0.109584 | + | 0.0722171i | ||||
\(328\) | 6.76411e6 | + | 1.17158e7i | 0.191685 | + | 0.332009i | ||||
\(329\) | −4.65615e6 | + | 2.68823e6i | −0.130749 | + | 0.0754881i | ||||
\(330\) | 7.34493e7 | − | 4.34485e6i | 2.04384 | − | 0.120902i | ||||
\(331\) | 1.41912e7 | − | 2.45799e7i | 0.391324 | − | 0.677792i | −0.601301 | − | 0.799023i | \(-0.705351\pi\) |
0.992624 | + | 0.121230i | \(0.0386840\pi\) | |||||||
\(332\) | 1.32907e7i | 0.363190i | ||||||||
\(333\) | 1.19552e7 | − | 2.78542e7i | 0.323761 | − | 0.754325i | ||||
\(334\) | 2.14111e7 | 0.574645 | ||||||||
\(335\) | −5.54164e7 | − | 3.19946e7i | −1.47402 | − | 0.851026i | ||||
\(336\) | −5.15655e6 | − | 2.58386e6i | −0.135938 | − | 0.0681163i | ||||
\(337\) | 1.56151e7 | + | 2.70461e7i | 0.407994 | + | 0.706666i | 0.994665 | − | 0.103159i | \(-0.0328951\pi\) |
−0.586671 | + | 0.809825i | \(0.699562\pi\) | |||||||
\(338\) | −1.98768e7 | + | 1.14759e7i | −0.514750 | + | 0.297191i | ||||
\(339\) | 2.31066e7 | − | 4.61134e7i | 0.593113 | − | 1.18366i | ||||
\(340\) | 1.28414e7 | − | 2.22420e7i | 0.326721 | − | 0.565898i | ||||
\(341\) | − | 1.54303e7i | − | 0.389146i | ||||||
\(342\) | 1.38550e7 | − | 1.03538e7i | 0.346360 | − | 0.258834i | ||||
\(343\) | 4.00074e7 | 0.991420 | ||||||||
\(344\) | 2.29046e7 | + | 1.32240e7i | 0.562663 | + | 0.324853i | ||||
\(345\) | 3.46998e6 | + | 5.86597e7i | 0.0845026 | + | 1.42851i | ||||
\(346\) | −1.23685e7 | − | 2.14229e7i | −0.298599 | − | 0.517189i | ||||
\(347\) | −1.73955e7 | + | 1.00433e7i | −0.416340 | + | 0.240374i | −0.693510 | − | 0.720447i | \(-0.743937\pi\) |
0.277170 | + | 0.960821i | \(0.410603\pi\) | |||||||
\(348\) | −1.25650e6 | − | 1.90664e6i | −0.0298143 | − | 0.0452409i | ||||
\(349\) | 1.84002e7 | − | 3.18701e7i | 0.432859 | − | 0.749733i | −0.564260 | − | 0.825597i | \(-0.690838\pi\) |
0.997118 | + | 0.0758644i | \(0.0241716\pi\) | |||||||
\(350\) | 2.03211e7i | 0.473962i | ||||||||
\(351\) | 1.31962e7 | − | 1.11343e7i | 0.305159 | − | 0.257479i | ||||
\(352\) | 1.53974e7 | 0.353037 | ||||||||
\(353\) | −2.05019e7 | − | 1.18368e7i | −0.466089 | − | 0.269097i | 0.248512 | − | 0.968629i | \(-0.420058\pi\) |
−0.714601 | + | 0.699532i | \(0.753392\pi\) | |||||||
\(354\) | −4.61244e6 | + | 3.03966e6i | −0.103973 | + | 0.0685196i | ||||
\(355\) | 4.50163e7 | + | 7.79705e7i | 1.00620 | + | 1.74279i | ||||
\(356\) | 1.12418e7 | − | 6.49046e6i | 0.249165 | − | 0.143855i | ||||
\(357\) | 2.49002e7 | − | 1.47296e6i | 0.547266 | − | 0.0323732i | ||||
\(358\) | 139408. | − | 241462.i | 0.00303836 | − | 0.00526259i | ||||
\(359\) | − | 3.67159e7i | − | 0.793544i | −0.917917 | − | 0.396772i | \(-0.870130\pi\) | ||
0.917917 | − | 0.396772i | \(-0.129870\pi\) | |||||||
\(360\) | −2.37491e7 | + | 2.81960e6i | −0.509027 | + | 0.0604338i | ||||
\(361\) | −2.94545e7 | −0.626079 | ||||||||
\(362\) | 2.21534e7 | + | 1.27903e7i | 0.466999 | + | 0.269622i | ||||
\(363\) | −1.27792e8 | − | 6.40343e7i | −2.67167 | − | 1.33873i | ||||
\(364\) | −2.92790e6 | − | 5.07128e6i | −0.0607089 | − | 0.105151i | ||||
\(365\) | −5.99773e7 | + | 3.46279e7i | −1.23341 | + | 0.712111i | ||||
\(366\) | −1.63769e6 | + | 3.26830e6i | −0.0334032 | + | 0.0666621i | ||||
\(367\) | −4.15020e7 | + | 7.18836e7i | −0.839597 | + | 1.45422i | 0.0506351 | + | 0.998717i | \(0.483875\pi\) |
−0.890232 | + | 0.455507i | \(0.849458\pi\) | |||||||
\(368\) | 1.22970e7i | 0.246750i | ||||||||
\(369\) | 6.42308e6 | + | 5.41008e7i | 0.127839 | + | 1.07677i | ||||
\(370\) | −4.26274e7 | −0.841558 | ||||||||
\(371\) | −3.56819e7 | − | 2.06009e7i | −0.698756 | − | 0.403427i | ||||
\(372\) | 296173. | + | 5.00677e6i | 0.00575329 | + | 0.0972589i | ||||
\(373\) | 3.06825e7 | + | 5.31436e7i | 0.591241 | + | 1.02406i | 0.994066 | + | 0.108782i | \(0.0346950\pi\) |
−0.402825 | + | 0.915277i | \(0.631972\pi\) | |||||||
\(374\) | −5.76684e7 | + | 3.32948e7i | −1.10236 | + | 0.636447i | ||||
\(375\) | 4.29478e6 | + | 6.51700e6i | 0.0814418 | + | 0.123582i | ||||
\(376\) | −2.33266e6 | + | 4.04029e6i | −0.0438822 | + | 0.0760062i | ||||
\(377\) | − | 2.31832e6i | − | 0.0432662i | ||||||
\(378\) | −1.49789e7 | − | 1.77527e7i | −0.277334 | − | 0.328691i | ||||
\(379\) | 8.94442e6 | 0.164299 | 0.0821495 | − | 0.996620i | \(-0.473822\pi\) | ||||
0.0821495 | + | 0.996620i | \(0.473822\pi\) | |||||||
\(380\) | −2.10652e7 | − | 1.21620e7i | −0.383897 | − | 0.221643i | ||||
\(381\) | 3.96028e7 | − | 2.60987e7i | 0.716062 | − | 0.471894i | ||||
\(382\) | −3.52173e6 | − | 6.09982e6i | −0.0631781 | − | 0.109428i | ||||
\(383\) | 7.60170e7 | − | 4.38884e7i | 1.35305 | − | 0.781184i | 0.364375 | − | 0.931252i | \(-0.381283\pi\) |
0.988676 | + | 0.150068i | \(0.0479492\pi\) | |||||||
\(384\) | −4.99609e6 | + | 295541.i | −0.0882341 | + | 0.00521944i | ||||
\(385\) | 5.02477e7 | − | 8.70317e7i | 0.880510 | − | 1.52509i | ||||
\(386\) | − | 6.19619e7i | − | 1.07737i | ||||||
\(387\) | 6.37591e7 | + | 8.53195e7i | 1.10004 | + | 1.47203i | ||||
\(388\) | −1.14076e7 | −0.195298 | ||||||||
\(389\) | 8.09387e7 | + | 4.67300e7i | 1.37501 | + | 0.793865i | 0.991554 | − | 0.129693i | \(-0.0413991\pi\) |
0.383460 | + | 0.923558i | \(0.374732\pi\) | |||||||
\(390\) | −2.17084e7 | − | 1.08777e7i | −0.365961 | − | 0.183376i | ||||
\(391\) | −2.65907e7 | − | 4.60564e7i | −0.444835 | − | 0.770477i | ||||
\(392\) | 1.16212e7 | − | 6.70949e6i | 0.192927 | − | 0.111386i | ||||
\(393\) | 2.89880e7 | − | 5.78508e7i | 0.477574 | − | 0.953086i | ||||
\(394\) | −3.05215e7 | + | 5.28648e7i | −0.499019 | + | 0.864326i | ||||
\(395\) | 7.00746e7i | 1.13702i | ||||||||
\(396\) | 5.69816e7 | + | 2.44568e7i | 0.917591 | + | 0.393835i | ||||
\(397\) | −1.21583e8 | −1.94313 | −0.971566 | − | 0.236767i | \(-0.923912\pi\) | ||||
−0.971566 | + | 0.236767i | \(0.923912\pi\) | |||||||
\(398\) | −2.47863e7 | − | 1.43104e7i | −0.393153 | − | 0.226987i | ||||
\(399\) | −1.39502e6 | − | 2.35828e7i | −0.0219616 | − | 0.371258i | ||||
\(400\) | 8.81665e6 | + | 1.52709e7i | 0.137760 | + | 0.238608i | ||||
\(401\) | 1.85999e7 | − | 1.07387e7i | 0.288455 | − | 0.166540i | −0.348790 | − | 0.937201i | \(-0.613407\pi\) |
0.637245 | + | 0.770661i | \(0.280074\pi\) | |||||||
\(402\) | −2.96746e7 | − | 4.50289e7i | −0.456780 | − | 0.693128i | ||||
\(403\) | −2.54607e6 | + | 4.40993e6i | −0.0389005 | + | 0.0673777i | ||||
\(404\) | 5.24557e7i | 0.795516i | ||||||||
\(405\) | −9.23676e7 | − | 2.72879e7i | −1.39045 | − | 0.410776i | ||||
\(406\) | −3.11881e6 | −0.0466026 | ||||||||
\(407\) | 9.57156e7 | + | 5.52614e7i | 1.41971 | + | 0.819670i | ||||
\(408\) | 1.80729e7 | − | 1.19103e7i | 0.266102 | − | 0.175364i | ||||
\(409\) | −5.80930e7 | − | 1.00620e8i | −0.849090 | − | 1.47067i | −0.882022 | − | 0.471209i | \(-0.843818\pi\) |
0.0329322 | − | 0.999458i | \(-0.489515\pi\) | |||||||
\(410\) | 6.63523e7 | − | 3.83085e7i | 0.962730 | − | 0.555832i | ||||
\(411\) | −3.59448e7 | + | 2.12629e6i | −0.517739 | + | 0.0306265i | ||||
\(412\) | 1.48076e7 | − | 2.56475e7i | 0.211735 | − | 0.366736i | ||||
\(413\) | 7.54485e6i | 0.107103i | ||||||||
\(414\) | −1.95323e7 | + | 4.55079e7i | −0.275265 | + | 0.641336i | ||||
\(415\) | 7.52720e7 | 1.05315 | ||||||||
\(416\) | −4.40051e6 | − | 2.54064e6i | −0.0611256 | − | 0.0352909i | ||||
\(417\) | 5.25644e7 | + | 2.63391e7i | 0.724909 | + | 0.363239i | ||||
\(418\) | 3.15332e7 | + | 5.46172e7i | 0.431757 | + | 0.747825i | ||||
\(419\) | 2.73269e7 | − | 1.57772e7i | 0.371492 | − | 0.214481i | −0.302618 | − | 0.953112i | \(-0.597861\pi\) |
0.674110 | + | 0.738631i | \(0.264527\pi\) | |||||||
\(420\) | −1.46337e7 | + | 2.92041e7i | −0.197518 | + | 0.394182i | ||||
\(421\) | 7.50313e6 | − | 1.29958e7i | 0.100553 | − | 0.174163i | −0.811359 | − | 0.584548i | \(-0.801272\pi\) |
0.911913 | + | 0.410384i | \(0.134605\pi\) | |||||||
\(422\) | − | 1.95631e7i | − | 0.260316i | ||||||
\(423\) | −1.50500e7 | + | 1.12469e7i | −0.198846 | + | 0.148597i | ||||
\(424\) | −3.57522e7 | −0.469035 | ||||||||
\(425\) | −6.60425e7 | − | 3.81297e7i | −0.860314 | − | 0.496702i | ||||
\(426\) | 4.48056e6 | + | 7.57435e7i | 0.0579567 | + | 0.979753i | ||||
\(427\) | 2.49652e6 | + | 4.32411e6i | 0.0320665 | + | 0.0555409i | ||||
\(428\) | 7.39430e6 | − | 4.26910e6i | 0.0943117 | − | 0.0544509i | ||||
\(429\) | 3.46424e7 | + | 5.25672e7i | 0.438769 | + | 0.665799i | ||||
\(430\) | 7.48941e7 | − | 1.29720e8i | 0.941981 | − | 1.63156i | ||||
\(431\) | − | 6.49322e7i | − | 0.811014i | −0.914092 | − | 0.405507i | \(-0.867095\pi\) | ||
0.914092 | − | 0.405507i | \(-0.132905\pi\) | |||||||
\(432\) | −1.89586e7 | − | 6.84194e6i | −0.235155 | − | 0.0848648i | ||||
\(433\) | 8.31669e7 | 1.02444 | 0.512220 | − | 0.858854i | \(-0.328823\pi\) | ||||
0.512220 | + | 0.858854i | \(0.328823\pi\) | |||||||
\(434\) | 5.93263e6 | + | 3.42521e6i | 0.0725735 | + | 0.0419003i | ||||
\(435\) | −1.07983e7 | + | 7.11618e6i | −0.131186 | + | 0.0864528i | ||||
\(436\) | 2.71935e6 | + | 4.71006e6i | 0.0328100 | + | 0.0568286i | ||||
\(437\) | −4.36195e7 | + | 2.51838e7i | −0.522681 | + | 0.301770i | ||||
\(438\) | −5.82641e7 | + | 3.44658e6i | −0.693392 | + | 0.0410172i | ||||
\(439\) | −1.63576e7 | + | 2.83321e7i | −0.193341 | + | 0.334877i | −0.946356 | − | 0.323127i | \(-0.895266\pi\) |
0.753014 | + | 0.658004i | \(0.228599\pi\) | |||||||
\(440\) | − | 8.72032e7i | − | 1.02370i | ||||||
\(441\) | 5.36640e7 | − | 6.37122e6i | 0.625701 | − | 0.0742859i | ||||
\(442\) | 2.19752e7 | 0.254487 | ||||||||
\(443\) | 9.29959e7 | + | 5.36912e7i | 1.06968 | + | 0.617578i | 0.928093 | − | 0.372348i | \(-0.121447\pi\) |
0.141584 | + | 0.989926i | \(0.454781\pi\) | |||||||
\(444\) | −3.21181e7 | − | 1.60938e7i | −0.366945 | − | 0.183870i | ||||
\(445\) | −3.67587e7 | − | 6.36680e7i | −0.417139 | − | 0.722505i | ||||
\(446\) | 3.70368e7 | − | 2.13832e7i | 0.417473 | − | 0.241028i | ||||
\(447\) | −4.67921e7 | + | 9.33819e7i | −0.523901 | + | 1.04554i | ||||
\(448\) | −3.41790e6 | + | 5.91997e6i | −0.0380124 | + | 0.0658393i | ||||
\(449\) | − | 3.79594e7i | − | 0.419354i | −0.977771 | − | 0.209677i | \(-0.932759\pi\) | ||
0.977771 | − | 0.209677i | \(-0.0672413\pi\) | |||||||
\(450\) | 8.37214e6 | + | 7.05175e7i | 0.0918753 | + | 0.773855i | ||||
\(451\) | −1.98650e8 | −2.16550 | ||||||||
\(452\) | −5.29404e7 | − | 3.05651e7i | −0.573286 | − | 0.330987i | ||||
\(453\) | −1.53341e6 | − | 2.59222e7i | −0.0164954 | − | 0.278854i | ||||
\(454\) | 1.45223e7 | + | 2.51533e7i | 0.155191 | + | 0.268799i | ||||
\(455\) | −2.87212e7 | + | 1.65822e7i | −0.304907 | + | 0.176038i | ||||
\(456\) | −1.12801e7 | − | 1.71167e7i | −0.118965 | − | 0.180520i | ||||
\(457\) | −1.27236e7 | + | 2.20379e7i | −0.133309 | + | 0.230898i | −0.924950 | − | 0.380088i | \(-0.875894\pi\) |
0.791641 | + | 0.610986i | \(0.209227\pi\) | |||||||
\(458\) | 1.05533e8i | 1.09848i | ||||||||
\(459\) | 8.58009e7 | − | 1.53701e7i | 0.887266 | − | 0.158942i | ||||
\(460\) | 6.96442e7 | 0.715503 | ||||||||
\(461\) | 5.64160e7 | + | 3.25718e7i | 0.575837 | + | 0.332460i | 0.759477 | − | 0.650534i | \(-0.225455\pi\) |
−0.183640 | + | 0.982994i | \(0.558788\pi\) | |||||||
\(462\) | 7.07182e7 | − | 4.66041e7i | 0.717142 | − | 0.472605i | ||||
\(463\) | −1.44914e7 | − | 2.50999e7i | −0.146005 | − | 0.252888i | 0.783742 | − | 0.621086i | \(-0.213308\pi\) |
−0.929747 | + | 0.368198i | \(0.879975\pi\) | |||||||
\(464\) | −2.34372e6 | + | 1.35315e6i | −0.0234613 | + | 0.0135454i | ||||
\(465\) | 2.83559e7 | − | 1.67737e6i | 0.282023 | − | 0.0166829i | ||||
\(466\) | −1.19266e6 | + | 2.06575e6i | −0.0117858 | + | 0.0204136i | ||||
\(467\) | − | 6.09985e7i | − | 0.598919i | −0.954109 | − | 0.299460i | \(-0.903194\pi\) | ||
0.954109 | − | 0.299460i | \(-0.0968064\pi\) | |||||||
\(468\) | −1.22496e7 | − | 1.63919e7i | −0.119505 | − | 0.159916i | ||||
\(469\) | −7.36566e7 | −0.713991 | ||||||||
\(470\) | 2.28822e7 | + | 1.32110e7i | 0.220396 | + | 0.127246i | ||||
\(471\) | −3.84378e7 | − | 1.92605e7i | −0.367871 | − | 0.184334i | ||||
\(472\) | 3.27346e6 | + | 5.66980e6i | 0.0311301 | + | 0.0539190i | ||||
\(473\) | −3.36334e8 | + | 1.94183e8i | −3.17825 | + | 1.83496i | ||||
\(474\) | −2.64564e7 | + | 5.27985e7i | −0.248425 | + | 0.495777i | ||||
\(475\) | −3.61122e7 | + | 6.25482e7i | −0.336956 | + | 0.583626i | ||||
\(476\) | − | 2.95630e7i | − | 0.274111i | ||||||
\(477\) | −1.32309e8 | − | 5.67878e7i | −1.21909 | − | 0.523239i | ||||
\(478\) | 1.26108e8 | 1.15467 | ||||||||
\(479\) | −8.59855e7 | − | 4.96437e7i | −0.782381 | − | 0.451708i | 0.0548922 | − | 0.998492i | \(-0.482518\pi\) |
−0.837274 | + | 0.546784i | \(0.815852\pi\) | |||||||
\(480\) | 1.67379e6 | + | 2.82953e7i | 0.0151349 | + | 0.255853i | ||||
\(481\) | −1.82367e7 | − | 3.15870e7i | −0.163875 | − | 0.283839i | ||||
\(482\) | 4.81664e7 | − | 2.78089e7i | 0.430133 | − | 0.248338i | ||||
\(483\) | 3.72200e7 | + | 5.64785e7i | 0.330320 | + | 0.501235i | ||||
\(484\) | −8.47038e7 | + | 1.46711e8i | −0.747079 | + | 1.29398i | ||||
\(485\) | 6.46069e7i | 0.566309i | ||||||||
\(486\) | −5.92929e7 | − | 5.54334e7i | −0.516528 | − | 0.482906i | ||||
\(487\) | 1.05049e8 | 0.909504 | 0.454752 | − | 0.890618i | \(-0.349728\pi\) | ||||
0.454752 | + | 0.890618i | \(0.349728\pi\) | |||||||
\(488\) | 3.75217e6 | + | 2.16632e6i | 0.0322866 | + | 0.0186407i | ||||
\(489\) | −1.58327e7 | + | 1.04339e7i | −0.135403 | + | 0.0892321i | ||||
\(490\) | −3.79992e7 | − | 6.58165e7i | −0.322988 | − | 0.559431i | ||||
\(491\) | 1.64341e8 | − | 9.48823e7i | 1.38836 | − | 0.801569i | 0.395228 | − | 0.918583i | \(-0.370666\pi\) |
0.993130 | + | 0.117014i | \(0.0373323\pi\) | |||||||
\(492\) | 6.44571e7 | − | 3.81292e6i | 0.541222 | − | 0.0320157i | ||||
\(493\) | 5.85199e6 | − | 1.01360e7i | 0.0488386 | − | 0.0845909i | ||||
\(494\) | − | 2.08125e7i | − | 0.172640i | ||||||
\(495\) | 1.38511e8 | − | 3.22715e8i | 1.14201 | − | 2.66075i | ||||
\(496\) | 5.94433e6 | 0.0487144 | ||||||||
\(497\) | 8.97500e7 | + | 5.18172e7i | 0.731081 | + | 0.422090i | ||||
\(498\) | 5.67145e7 | + | 2.84186e7i | 0.459204 | + | 0.230099i | ||||
\(499\) | 1.01002e8 | + | 1.74941e8i | 0.812887 | + | 1.40796i | 0.910835 | + | 0.412771i | \(0.135439\pi\) |
−0.0979477 | + | 0.995192i | \(0.531228\pi\) | |||||||
\(500\) | 8.01095e6 | − | 4.62512e6i | 0.0640876 | − | 0.0370010i | ||||
\(501\) | 4.57819e7 | − | 9.13660e7i | 0.364066 | − | 0.726560i | ||||
\(502\) | −4.39851e7 | + | 7.61845e7i | −0.347692 | + | 0.602220i | ||||
\(503\) | 1.88347e8i | 1.47998i | 0.672619 | + | 0.739989i | \(0.265169\pi\) | ||||
−0.672619 | + | 0.739989i | \(0.734831\pi\) | |||||||
\(504\) | −2.20518e7 | + | 1.64793e7i | −0.172247 | + | 0.128720i | ||||
\(505\) | 2.97083e8 | 2.30677 | ||||||||
\(506\) | −1.56379e8 | − | 9.02854e7i | −1.20705 | − | 0.696893i | ||||
\(507\) | 6.46894e6 | + | 1.09357e8i | 0.0496374 | + | 0.839116i | ||||
\(508\) | −2.81062e7 | − | 4.86813e7i | −0.214393 | − | 0.371339i | ||||
\(509\) | 1.43572e8 | − | 8.28912e7i | 1.08872 | − | 0.628572i | 0.155484 | − | 0.987838i | \(-0.450306\pi\) |
0.933235 | + | 0.359266i | \(0.116973\pi\) | |||||||
\(510\) | −6.74538e7 | − | 1.02356e8i | −0.508506 | − | 0.771619i | ||||
\(511\) | −3.98593e7 | + | 6.90384e7i | −0.298722 | + | 0.517402i | ||||
\(512\) | 5.93164e6i | 0.0441942i | ||||||||
\(513\) | −1.45569e7 | − | 8.12612e7i | −0.107824 | − | 0.601909i | ||||
\(514\) | 1.20629e7 | 0.0888307 | ||||||||
\(515\) | −1.45255e8 | − | 8.38628e7i | −1.06343 | − | 0.613971i | ||||
\(516\) | 1.05405e8 | − | 6.94633e7i | 0.767208 | − | 0.505599i | ||||
\(517\) | −3.42531e7 | − | 5.93281e7i | −0.247873 | − | 0.429328i | ||||
\(518\) | −4.24936e7 | + | 2.45337e7i | −0.305728 | + | 0.176512i | ||||
\(519\) | −1.17863e8 | + | 6.97211e6i | −0.843092 | + | 0.0498726i | ||||
\(520\) | −1.43889e7 | + | 2.49223e7i | −0.102333 | + | 0.177247i | ||||
\(521\) | − | 2.76446e8i | − | 1.95478i | −0.211451 | − | 0.977389i | \(-0.567819\pi\) | ||
0.211451 | − | 0.977389i | \(-0.432181\pi\) | |||||||
\(522\) | −1.08228e7 | + | 1.28492e6i | −0.0760898 | + | 0.00903370i | ||||
\(523\) | 8.78008e7 | 0.613753 | 0.306876 | − | 0.951749i | \(-0.400716\pi\) | ||||
0.306876 | + | 0.951749i | \(0.400716\pi\) | |||||||
\(524\) | −6.64155e7 | − | 3.83450e7i | −0.461611 | − | 0.266511i | ||||
\(525\) | 8.67148e7 | + | 4.34513e7i | 0.599260 | + | 0.300279i | ||||
\(526\) | 2.97615e6 | + | 5.15484e6i | 0.0204502 | + | 0.0354208i | ||||
\(527\) | −2.22635e7 | + | 1.28538e7i | −0.152111 | + | 0.0878214i | ||||
\(528\) | 3.29232e7 | − | 6.57042e7i | 0.223666 | − | 0.446367i | ||||
\(529\) | −1.91221e6 | + | 3.31204e6i | −0.0129172 | + | 0.0223732i | ||||
\(530\) | 2.02483e8i | 1.36007i | ||||||||
\(531\) | 3.10842e6 | + | 2.61818e7i | 0.0207614 | + | 0.174870i | ||||
\(532\) | −2.79988e7 | −0.185954 | ||||||||
\(533\) | 5.67733e7 | + | 3.27781e7i | 0.374941 | + | 0.216472i | ||||
\(534\) | −3.65867e6 | − | 6.18495e7i | −0.0240270 | − | 0.406174i | ||||
\(535\) | −2.41780e7 | − | 4.18776e7i | −0.157892 | − | 0.273477i | ||||
\(536\) | −5.53513e7 | + | 3.19571e7i | −0.359446 | + | 0.207526i | ||||
\(537\) | −732285. | − | 1.11119e6i | −0.00472887 | − | 0.00717570i | ||||
\(538\) | 2.74007e7 | − | 4.74595e7i | 0.175961 | − | 0.304773i | ||||
\(539\) | 1.97046e8i | 1.25835i | ||||||||
\(540\) | −3.87493e7 | + | 1.07372e8i | −0.246084 | + | 0.681882i | ||||
\(541\) | −1.60020e8 | −1.01061 | −0.505305 | − | 0.862941i | \(-0.668620\pi\) | ||||
−0.505305 | + | 0.862941i | \(0.668620\pi\) | |||||||
\(542\) | 1.00741e8 | + | 5.81629e7i | 0.632716 | + | 0.365299i | ||||
\(543\) | 1.01948e8 | − | 6.71851e7i | 0.636767 | − | 0.419637i | ||||
\(544\) | −1.28264e7 | − | 2.22159e7i | −0.0796723 | − | 0.137996i | ||||
\(545\) | 2.66754e7 | − | 1.54011e7i | 0.164787 | − | 0.0951395i | ||||
\(546\) | −2.79008e7 | + | 1.65046e6i | −0.171411 | + | 0.0101397i | ||||
\(547\) | 1.10308e7 | − | 1.91059e7i | 0.0673977 | − | 0.116736i | −0.830357 | − | 0.557231i | \(-0.811864\pi\) |
0.897755 | + | 0.440495i | \(0.145197\pi\) | |||||||
\(548\) | 4.26757e7i | 0.259322i | ||||||||
\(549\) | 1.04448e7 | + | 1.39768e7i | 0.0631225 | + | 0.0844676i | ||||
\(550\) | −2.58930e8 | −1.55630 | ||||||||
\(551\) | −9.59966e6 | − | 5.54237e6i | −0.0573854 | − | 0.0331315i | ||||
\(552\) | 5.24742e7 | + | 2.62939e7i | 0.311981 | + | 0.156328i | ||||
\(553\) | 4.03306e7 | + | 6.98546e7i | 0.238484 | + | 0.413066i | ||||
\(554\) | 9.86615e7 | − | 5.69623e7i | 0.580255 | − | 0.335010i | ||||
\(555\) | −9.11473e7 | + | 1.81901e8i | −0.533169 | + | 1.06403i | ||||
\(556\) | 3.48410e7 | − | 6.03464e7i | 0.202706 | − | 0.351097i | ||||
\(557\) | − | 1.71224e8i | − | 0.990830i | −0.868657 | − | 0.495415i | \(-0.835016\pi\) | ||
0.868657 | − | 0.495415i | \(-0.164984\pi\) | |||||||
\(558\) | 2.19983e7 | + | 9.44181e6i | 0.126616 | + | 0.0543441i | ||||
\(559\) | 1.28164e8 | 0.733720 | ||||||||
\(560\) | 3.35277e7 | + | 1.93573e7i | 0.190915 | + | 0.110225i | ||||
\(561\) | 1.87683e7 | + | 3.17276e8i | 0.106301 | + | 1.79700i | ||||
\(562\) | −5.74562e7 | − | 9.95171e7i | −0.323689 | − | 0.560646i | ||||
\(563\) | −1.92436e8 | + | 1.11103e8i | −1.07835 | + | 0.622586i | −0.930451 | − | 0.366416i | \(-0.880585\pi\) |
−0.147900 | + | 0.989002i | \(0.547251\pi\) | |||||||
\(564\) | 1.22531e7 | + | 1.85931e7i | 0.0682979 | + | 0.103637i | ||||
\(565\) | −1.73106e8 | + | 2.99828e8i | −0.959767 | + | 1.66237i | ||||
\(566\) | 1.27930e8i | 0.705543i | ||||||||
\(567\) | −1.07783e8 | + | 2.59588e7i | −0.591290 | + | 0.142408i | ||||
\(568\) | 8.99270e7 | 0.490733 | ||||||||
\(569\) | −2.25736e8 | − | 1.30329e8i | −1.22536 | − | 0.707461i | −0.259303 | − | 0.965796i | \(-0.583493\pi\) |
−0.966056 | + | 0.258335i | \(0.916826\pi\) | |||||||
\(570\) | −9.69404e7 | + | 6.38848e7i | −0.523456 | + | 0.344964i | ||||
\(571\) | −6.09463e7 | − | 1.05562e8i | −0.327370 | − | 0.567022i | 0.654619 | − | 0.755959i | \(-0.272829\pi\) |
−0.981989 | + | 0.188937i | \(0.939496\pi\) | |||||||
\(572\) | 6.46177e7 | − | 3.73070e7i | 0.345274 | − | 0.199344i | ||||
\(573\) | −3.35596e7 | + | 1.98520e6i | −0.178383 | + | 0.0105521i | ||||
\(574\) | 4.40960e7 | − | 7.63766e7i | 0.233165 | − | 0.403854i | ||||
\(575\) | − | 2.06792e8i | − | 1.08775i | ||||||
\(576\) | −9.42166e6 | + | 2.19514e7i | −0.0493015 | + | 0.114867i | ||||
\(577\) | 1.22005e8 | 0.635111 | 0.317555 | − | 0.948240i | \(-0.397138\pi\) | ||||
0.317555 | + | 0.948240i | \(0.397138\pi\) | |||||||
\(578\) | −2.21715e7 | − | 1.28007e7i | −0.114818 | − | 0.0662903i | ||||
\(579\) | −2.64406e8 | − | 1.32489e8i | −1.36218 | − | 0.682565i | ||||
\(580\) | 7.66354e6 | + | 1.32736e7i | 0.0392777 | + | 0.0680309i | ||||
\(581\) | 7.50357e7 | − | 4.33219e7i | 0.382595 | − | 0.220891i | ||||
\(582\) | −2.43921e7 | + | 4.86788e7i | −0.123731 | + | 0.246928i | ||||
\(583\) | 2.62495e8 | − | 4.54654e8i | 1.32469 | − | 2.29444i | ||||
\(584\) | 6.91745e7i | 0.347302i | ||||||||
\(585\) | −9.28353e7 | + | 6.93757e7i | −0.463709 | + | 0.346529i | ||||
\(586\) | 2.18591e7 | 0.108627 | ||||||||
\(587\) | −1.15748e8 | − | 6.68273e7i | −0.572269 | − | 0.330400i | 0.185786 | − | 0.982590i | \(-0.440517\pi\) |
−0.758055 | + | 0.652191i | \(0.773850\pi\) | |||||||
\(588\) | −3.78214e6 | − | 6.39366e7i | −0.0186039 | − | 0.314498i | ||||
\(589\) | 1.21737e7 | + | 2.10855e7i | 0.0595768 | + | 0.103190i | ||||
\(590\) | 3.21109e7 | − | 1.85392e7i | 0.156349 | − | 0.0902684i | ||||
\(591\) | 1.60324e8 | + | 2.43279e8i | 0.776668 | + | 1.17853i | ||||
\(592\) | −2.12887e7 | + | 3.68731e7i | −0.102609 | + | 0.177723i | ||||
\(593\) | − | 1.98748e7i | − | 0.0953100i | −0.998864 | − | 0.0476550i | \(-0.984825\pi\) | ||
0.998864 | − | 0.0476550i | \(-0.0151748\pi\) | |||||||
\(594\) | 2.26203e8 | − | 1.90859e8i | 1.07929 | − | 0.910653i | ||||
\(595\) | −1.67430e8 | −0.794844 | ||||||||
\(596\) | 1.07207e8 | + | 6.18960e7i | 0.506389 | + | 0.292364i | ||||
\(597\) | −1.14064e8 | + | 7.51697e7i | −0.536077 | + | 0.353281i | ||||
\(598\) | 2.97950e7 | + | 5.16064e7i | 0.139328 | + | 0.241324i | ||||
\(599\) | 3.37964e8 | − | 1.95123e8i | 1.57250 | − | 0.907881i | 0.576634 | − | 0.817002i | \(-0.304366\pi\) |
0.995862 | − | 0.0908789i | \(-0.0289676\pi\) | |||||||
\(600\) | 8.40164e7 | − | 4.96994e6i | 0.388965 | − | 0.0230090i | ||||
\(601\) | −7.89071e7 | + | 1.36671e8i | −0.363490 | + | 0.629583i | −0.988533 | − | 0.151007i | \(-0.951748\pi\) |
0.625043 | + | 0.780591i | \(0.285082\pi\) | |||||||
\(602\) | − | 1.72418e8i | − | 0.790300i | ||||||
\(603\) | −2.55600e8 | + | 3.03459e7i | −1.16576 | + | 0.138404i | ||||
\(604\) | −3.07763e7 | −0.139671 | ||||||||
\(605\) | 8.30899e8 | + | 4.79720e8i | 3.75217 | + | 2.16631i | ||||
\(606\) | 2.23840e8 | + | 1.12163e8i | 1.00582 | + | 0.503999i | ||||
\(607\) | −1.74295e8 | − | 3.01887e8i | −0.779325 | − | 1.34983i | −0.932332 | − | 0.361605i | \(-0.882229\pi\) |
0.153007 | − | 0.988225i | \(-0.451104\pi\) | |||||||
\(608\) | −2.10405e7 | + | 1.21477e7i | −0.0936150 | + | 0.0540486i | ||||
\(609\) | −6.66873e6 | + | 1.33087e7i | −0.0295251 | + | 0.0589227i | ||||
\(610\) | 1.22689e7 | − | 2.12504e7i | 0.0540527 | − | 0.0936219i | ||||
\(611\) | 2.26076e7i | 0.0991132i | ||||||||
\(612\) | −1.21797e7 | − | 1.02588e8i | −0.0531352 | − | 0.447551i | ||||
\(613\) | 1.41726e7 | 0.0615273 | 0.0307636 | − | 0.999527i | \(-0.490206\pi\) | ||||
0.0307636 | + | 0.999527i | \(0.490206\pi\) | |||||||
\(614\) | 1.48207e7 | + | 8.55674e6i | 0.0640271 | + | 0.0369661i | ||||
\(615\) | −2.15945e7 | − | 3.65053e8i | −0.0928362 | − | 1.56939i | ||||
\(616\) | −5.01888e7 | − | 8.69295e7i | −0.214716 | − | 0.371899i | ||||
\(617\) | −1.81599e8 | + | 1.04846e8i | −0.773140 | + | 0.446373i | −0.833994 | − | 0.551774i | \(-0.813951\pi\) |
0.0608535 | + | 0.998147i | \(0.480618\pi\) | |||||||
\(618\) | −7.77816e7 | − | 1.18028e8i | −0.329542 | − | 0.500056i | ||||
\(619\) | 8.36020e7 | − | 1.44803e8i | 0.352488 | − | 0.610528i | −0.634196 | − | 0.773172i | \(-0.718669\pi\) |
0.986685 | + | 0.162644i | \(0.0520023\pi\) | |||||||
\(620\) | − | 3.36657e7i | − | 0.141258i | ||||||
\(621\) | 1.52428e8 | + | 1.80655e8i | 0.636487 | + | 0.754354i | ||||
\(622\) | −2.15679e8 | −0.896265 | ||||||||
\(623\) | −7.32867e7 | − | 4.23121e7i | −0.303083 | − | 0.174985i | ||||
\(624\) | −2.02508e7 | + | 1.33455e7i | −0.0833467 | + | 0.0549265i | ||||
\(625\) | 1.08337e8 | + | 1.87645e8i | 0.443749 | + | 0.768595i | ||||
\(626\) | −1.10862e8 | + | 6.40064e7i | −0.451919 | + | 0.260916i | ||||
\(627\) | 3.00489e8 | − | 1.77753e7i | 1.21906 | − | 0.0721129i | ||||
\(628\) | −2.54775e7 | + | 4.41284e7i | −0.102868 | + | 0.178172i | ||||
\(629\) | − | 1.84136e8i | − | 0.739923i | ||||||
\(630\) | 9.33304e7 | + | 1.24890e8i | 0.373252 | + | 0.499468i | ||||
\(631\) | −3.36933e8 | −1.34108 | −0.670541 | − | 0.741872i | \(-0.733938\pi\) | ||||
−0.670541 | + | 0.741872i | \(0.733938\pi\) | |||||||
\(632\) | 6.06152e7 | + | 3.49962e7i | 0.240121 | + | 0.138634i | ||||
\(633\) | −8.34804e7 | − | 4.18305e7i | −0.329134 | − | 0.164923i | ||||
\(634\) | 6.76072e7 | + | 1.17099e8i | 0.265293 | + | 0.459500i | ||||
\(635\) | −2.75706e8 | + | 1.59179e8i | −1.07678 | + | 0.621677i | ||||
\(636\) | −7.64465e7 | + | 1.52563e8i | −0.297157 | + | 0.593031i | ||||
\(637\) | 3.25134e7 | − | 5.63149e7i | 0.125789 | − | 0.217874i | ||||
\(638\) | − | 3.97395e7i | − | 0.153024i | ||||||
\(639\) | 3.32795e8 | + | 1.42838e8i | 1.27548 | + | 0.547444i | ||||
\(640\) | 3.35938e7 | 0.128150 | ||||||||
\(641\) | −8.63536e7 | − | 4.98563e7i | −0.327873 | − | 0.189298i | 0.327023 | − | 0.945016i | \(-0.393954\pi\) |
−0.654897 | + | 0.755719i | \(0.727288\pi\) | |||||||
\(642\) | −2.40649e6 | − | 4.06815e7i | −0.00909450 | − | 0.153742i | ||||
\(643\) | 1.34692e8 | + | 2.33294e8i | 0.506652 | + | 0.877547i | 0.999970 | + | 0.00769844i | \(0.00245051\pi\) |
−0.493318 | + | 0.869849i | \(0.664216\pi\) | |||||||
\(644\) | 6.94256e7 | − | 4.00829e7i | 0.259933 | − | 0.150073i | ||||
\(645\) | −3.93405e8 | − | 5.96962e8i | −1.46609 | − | 2.22468i | ||||
\(646\) | 5.25357e7 | − | 9.09945e7i | 0.194875 | − | 0.337534i | ||||
\(647\) | 7.78039e7i | 0.287269i | 0.989631 | + | 0.143634i | \(0.0458790\pi\) | ||||
−0.989631 | + | 0.143634i | \(0.954121\pi\) | |||||||
\(648\) | −6.97339e7 | + | 6.62709e7i | −0.256283 | + | 0.243555i | ||||
\(649\) | −9.61357e7 | −0.351682 | ||||||||
\(650\) | 7.40010e7 | + | 4.27245e7i | 0.269462 | + | 0.155574i | ||||
\(651\) | 2.73015e7 | − | 1.79920e7i | 0.0989562 | − | 0.0652133i | ||||
\(652\) | 1.12365e7 | + | 1.94621e7i | 0.0405403 | + | 0.0702179i | ||||
\(653\) | 1.95063e8 | − | 1.12620e8i | 0.700543 | − | 0.404459i | −0.107007 | − | 0.994258i | \(-0.534127\pi\) |
0.807550 | + | 0.589800i | \(0.200793\pi\) | |||||||
\(654\) | 2.59135e7 | − | 1.53290e6i | 0.0926387 | − | 0.00547999i | ||||
\(655\) | −2.17167e8 | + | 3.76144e8i | −0.772805 | + | 1.33854i | ||||
\(656\) | − | 7.65272e7i | − | 0.271084i | ||||||
\(657\) | −1.09875e8 | + | 2.55996e8i | −0.387438 | + | 0.902686i | ||||
\(658\) | 3.04138e7 | 0.106756 | ||||||||
\(659\) | −1.98537e8 | − | 1.14625e8i | −0.693722 | − | 0.400521i | 0.111283 | − | 0.993789i | \(-0.464504\pi\) |
−0.805005 | + | 0.593268i | \(0.797837\pi\) | |||||||
\(660\) | −3.72116e8 | − | 1.86461e8i | −1.29433 | − | 0.648568i | ||||
\(661\) | 1.05495e8 | + | 1.82722e8i | 0.365280 | + | 0.632684i | 0.988821 | − | 0.149107i | \(-0.0476398\pi\) |
−0.623541 | + | 0.781791i | \(0.714306\pi\) | |||||||
\(662\) | −1.39045e8 | + | 8.02777e7i | −0.479272 | + | 0.276708i | ||||
\(663\) | 4.69880e7 | − | 9.37730e7i | 0.161230 | − | 0.321764i | ||||
\(664\) | 3.75918e7 | − | 6.51109e7i | 0.128407 | − | 0.222408i | ||||
\(665\) | 1.58571e8i | 0.539212i | ||||||||
\(666\) | −1.37352e8 | + | 1.02643e8i | −0.464956 | + | 0.347461i | ||||
\(667\) | 3.17376e7 | 0.106954 | ||||||||
\(668\) | −1.04893e8 | − | 6.05597e7i | −0.351897 | − | 0.203168i | ||||
\(669\) | −1.20537e7 | − | 2.03766e8i | −0.0402570 | − | 0.680541i | ||||
\(670\) | 1.80989e8 | + | 3.13482e8i | 0.601766 | + | 1.04229i | ||||
\(671\) | −5.50973e7 | + | 3.18104e7i | −0.182374 | + | 0.105294i | ||||
\(672\) | 1.79536e7 | + | 2.72432e7i | 0.0591621 | + | 0.0897740i | ||||
\(673\) | 2.87715e8 | − | 4.98336e8i | 0.943880 | − | 1.63485i | 0.185901 | − | 0.982568i | \(-0.440479\pi\) |
0.757978 | − | 0.652280i | \(-0.226187\pi\) | |||||||
\(674\) | − | 1.76664e8i | − | 0.576991i | ||||||
\(675\) | 3.18816e8 | + | 1.15057e8i | 1.03664 | + | 0.374112i | ||||
\(676\) | 1.29835e8 | 0.420291 | ||||||||
\(677\) | −3.05834e8 | − | 1.76573e8i | −0.985644 | − | 0.569062i | −0.0816747 | − | 0.996659i | \(-0.526027\pi\) |
−0.903969 | + | 0.427597i | \(0.859360\pi\) | |||||||
\(678\) | −2.43627e8 | + | 1.60553e8i | −0.781694 | + | 0.515145i | ||||
\(679\) | 3.71837e7 | + | 6.44041e7i | 0.118780 | + | 0.205733i | ||||
\(680\) | −1.25820e8 | + | 7.26422e7i | −0.400150 | + | 0.231027i | ||||
\(681\) | 1.38387e8 | − | 8.18619e6i | 0.438181 | − | 0.0259203i | ||||
\(682\) | −4.36436e7 | + | 7.55930e7i | −0.137584 | + | 0.238302i | ||||
\(683\) | 4.65139e8i | 1.45989i | 0.683506 | + | 0.729945i | \(0.260454\pi\) | ||||
−0.683506 | + | 0.729945i | \(0.739546\pi\) | |||||||
\(684\) | −9.71603e7 | + | 1.15353e7i | −0.303613 | + | 0.0360462i | ||||
\(685\) | 2.41694e8 | 0.751959 | ||||||||
\(686\) | −1.95995e8 | − | 1.13158e8i | −0.607119 | − | 0.350520i | ||||
\(687\) | 4.50334e8 | + | 2.25655e8i | 1.38888 | + | 0.695944i | ||||
\(688\) | −7.48062e7 | − | 1.29568e8i | −0.229706 | − | 0.397862i | ||||
\(689\) | −1.50040e8 | + | 8.66255e7i | −0.458721 | + | 0.264843i | ||||
\(690\) | 1.48915e8 | − | 2.97187e8i | 0.453307 | − | 0.904655i | ||||
\(691\) | 5.96318e7 | − | 1.03285e8i | 0.180736 | − | 0.313043i | −0.761396 | − | 0.648288i | \(-0.775485\pi\) |
0.942131 | + | 0.335244i | \(0.108819\pi\) | |||||||
\(692\) | 1.39934e8i | 0.422283i | ||||||||
\(693\) | −4.76584e7 | − | 4.01421e8i | −0.143199 | − | 1.20615i | ||||
\(694\) | 1.13627e8 | 0.339941 | ||||||||
\(695\) | −3.41772e8 | − | 1.97322e8i | −1.01808 | − | 0.587789i | ||||
\(696\) | 762767. | + | 1.28945e7i | 0.00226237 | + | 0.0382452i | ||||
\(697\) | 1.65480e8 | + | 2.86619e8i | 0.488705 | + | 0.846461i | ||||
\(698\) | −1.80284e8 | + | 1.04087e8i | −0.530141 | + | 0.306077i | ||||
\(699\) | 6.26482e6 | + | 9.50639e6i | 0.0183433 | + | 0.0278345i | ||||
\(700\) | 5.74768e7 | − | 9.95528e7i | 0.167571 | − | 0.290241i | ||||
\(701\) | 3.55114e8i | 1.03089i | 0.856921 | + | 0.515447i | \(0.172374\pi\) | ||||
−0.856921 | + | 0.515447i | \(0.827626\pi\) | |||||||
\(702\) | −9.61403e7 | + | 1.72223e7i | −0.277904 | + | 0.0497827i | ||||
\(703\) | −1.74393e8 | −0.501954 | ||||||||
\(704\) | −7.54316e7 | − | 4.35505e7i | −0.216190 | − | 0.124817i | ||||
\(705\) | 1.05302e8 | − | 6.93952e7i | 0.300517 | − | 0.198044i | ||||
\(706\) | 6.69588e7 | + | 1.15976e8i | 0.190280 | + | 0.329575i | ||||
\(707\) | 2.96151e8 | − | 1.70983e8i | 0.838020 | − | 0.483831i | ||||
\(708\) | 3.11937e7 | − | 1.84525e6i | 0.0878956 | − | 0.00519942i | ||||
\(709\) | −3.01326e8 | + | 5.21912e8i | −0.845470 | + | 1.46440i | 0.0397425 | + | 0.999210i | \(0.487346\pi\) |
−0.885212 | + | 0.465187i | \(0.845987\pi\) | |||||||
\(710\) | − | 5.09301e8i | − | 1.42298i | ||||||
\(711\) | 1.68733e8 | + | 2.25791e8i | 0.469452 | + | 0.628199i | ||||
\(712\) | −7.34312e7 | −0.203442 | ||||||||
\(713\) | −6.03717e7 | − | 3.48556e7i | −0.166558 | − | 0.0961621i | ||||
\(714\) | −1.26152e8 | − | 6.32125e7i | −0.346576 | − | 0.173663i | ||||
\(715\) | −2.11288e8 | − | 3.65962e8i | −0.578039 | − | 1.00119i | ||||
\(716\) | −1.36591e6 | + | 788611.i | −0.00372121 | + | 0.00214844i | ||||
\(717\) | 2.69648e8 | − | 5.38130e8i | 0.731542 | − | 1.45992i | ||||
\(718\) | −1.03848e8 | + | 1.79871e8i | −0.280560 | + | 0.485944i | ||||
\(719\) | 3.36046e8i | 0.904092i | 0.891995 | + | 0.452046i | \(0.149306\pi\) | ||||
−0.891995 | + | 0.452046i | \(0.850694\pi\) | |||||||
\(720\) | 1.24322e8 | + | 5.33596e7i | 0.333080 | + | 0.142960i | ||||
\(721\) | −1.93065e8 | −0.515107 | ||||||||
\(722\) | 1.44297e8 | + | 8.33098e7i | 0.383394 | + | 0.221352i | ||||
\(723\) | −1.56758e7 | − | 2.64999e8i | −0.0414778 | − | 0.701179i | ||||
\(724\) | −7.23528e7 | − | 1.25319e8i | −0.190651 | − | 0.330218i | ||||
\(725\) | 3.94130e7 | − | 2.27551e7i | 0.103425 | − | 0.0597124i | ||||
\(726\) | 4.44934e8 | + | 6.75153e8i | 1.16275 | + | 1.76438i | ||||
\(727\) | 2.56241e8 | − | 4.43823e8i | 0.666877 | − | 1.15507i | −0.311895 | − | 0.950116i | \(-0.600964\pi\) |
0.978773 | − | 0.204949i | \(-0.0657028\pi\) | |||||||
\(728\) | 3.31254e7i | 0.0858554i | ||||||||
\(729\) | −3.63329e8 | + | 1.34487e8i | −0.937816 | + | 0.347134i | ||||
\(730\) | 3.91770e8 | 1.00708 | ||||||||
\(731\) | 5.60348e8 | + | 3.23517e8i | 1.43452 | + | 0.828218i | ||||
\(732\) | 1.72672e7 | − | 1.13793e7i | 0.0440238 | − | 0.0290122i | ||||
\(733\) | 1.79393e7 | + | 3.10717e7i | 0.0455505 | + | 0.0788957i | 0.887902 | − | 0.460033i | \(-0.152162\pi\) |
−0.842351 | + | 0.538929i | \(0.818829\pi\) | |||||||
\(734\) | 4.06635e8 | − | 2.34771e8i | 1.02829 | − | 0.593685i | ||||
\(735\) | −3.62105e8 | + | 2.14201e7i | −0.911953 | + | 0.0539461i | ||||
\(736\) | 3.47812e7 | − | 6.02428e7i | 0.0872391 | − | 0.151103i | ||||
\(737\) | − | 9.38524e8i | − | 2.34446i | ||||||
\(738\) | 1.21554e8 | − | 2.83206e8i | 0.302412 | − | 0.704585i | ||||
\(739\) | −3.58948e7 | −0.0889403 | −0.0444701 | − | 0.999011i | \(-0.514160\pi\) | ||||
−0.0444701 | + | 0.999011i | \(0.514160\pi\) | |||||||
\(740\) | 2.08831e8 | + | 1.20569e8i | 0.515347 | + | 0.297536i | ||||
\(741\) | −8.88115e7 | − | 4.45019e7i | −0.218280 | − | 0.109376i | ||||
\(742\) | 1.16536e8 | + | 2.01847e8i | 0.285266 | + | 0.494095i | ||||
\(743\) | −3.77466e8 | + | 2.17930e8i | −0.920261 | + | 0.531313i | −0.883718 | − | 0.468019i | \(-0.844968\pi\) |
−0.0365427 | + | 0.999332i | \(0.511634\pi\) | |||||||
\(744\) | 1.27104e7 | − | 2.53658e7i | 0.0308630 | − | 0.0615927i | ||||
\(745\) | 3.50548e8 | − | 6.07166e8i | 0.847771 | − | 1.46838i | ||||
\(746\) | − | 3.47133e8i | − | 0.836140i | ||||||
\(747\) | 2.42537e8 | − | 1.81248e8i | 0.581858 | − | 0.434822i | ||||
\(748\) | 3.76688e8 | 0.900072 | ||||||||
\(749\) | −4.82043e7 | − | 2.78308e7i | −0.114720 | − | 0.0662338i | ||||
\(750\) | −2.60718e6 | − | 4.40741e7i | −0.00617998 | − | 0.104472i | ||||
\(751\) | 2.14559e8 | + | 3.71627e8i | 0.506556 | + | 0.877380i | 0.999971 | + | 0.00758650i | \(0.00241488\pi\) |
−0.493416 | + | 0.869794i | \(0.664252\pi\) | |||||||
\(752\) | 2.28553e7 | − | 1.31955e7i | 0.0537445 | − | 0.0310294i | ||||
\(753\) | 2.31046e8 | + | 3.50595e8i | 0.541145 | + | 0.821146i | ||||
\(754\) | −6.55719e6 | + | 1.13574e7i | −0.0152969 | + | 0.0264950i | ||||
\(755\) | 1.74301e8i | 0.405005i | ||||||||
\(756\) | 2.31689e7 | + | 1.29337e8i | 0.0536217 | + | 0.299334i |