Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,7,Mod(3,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 7, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.3");
S:= CuspForms(chi, 7);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 7 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.h (of order \(42\), degree \(12\), 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: | \(9.89232559565\) |
Analytic rank: | \(0\) |
Dimension: | \(252\) |
Relative dimension: | \(21\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 3.17 | ||
Character | \(\chi\) | \(=\) | 43.3 |
Dual form | 43.7.h.a.29.17 |
$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{1}{42}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 4.47573 | − | 9.29395i | 0.559466 | − | 1.16174i | −0.408985 | − | 0.912541i | \(-0.634117\pi\) |
0.968451 | − | 0.249203i | \(-0.0801685\pi\) | |||||||
\(3\) | 30.6638 | + | 2.29794i | 1.13570 | + | 0.0851087i | 0.629279 | − | 0.777180i | \(-0.283350\pi\) |
0.506418 | + | 0.862288i | \(0.330969\pi\) | |||||||
\(4\) | −26.4420 | − | 33.1572i | −0.413156 | − | 0.518081i | ||||
\(5\) | −67.0797 | + | 217.467i | −0.536638 | + | 1.73974i | 0.127217 | + | 0.991875i | \(0.459396\pi\) |
−0.663855 | + | 0.747862i | \(0.731081\pi\) | |||||||
\(6\) | 158.600 | − | 274.703i | 0.734258 | − | 1.27177i | ||||
\(7\) | 521.839 | − | 301.284i | 1.52140 | − | 0.878378i | 0.521715 | − | 0.853120i | \(-0.325293\pi\) |
0.999681 | − | 0.0252582i | \(-0.00804078\pi\) | |||||||
\(8\) | 217.132 | − | 49.5589i | 0.424085 | − | 0.0967946i | ||||
\(9\) | 214.131 | + | 32.2751i | 0.293733 | + | 0.0442731i | ||||
\(10\) | 1720.90 | + | 1596.76i | 1.72090 | + | 1.59676i | ||||
\(11\) | 1090.36 | − | 1367.27i | 0.819203 | − | 1.02725i | −0.179848 | − | 0.983694i | \(-0.557561\pi\) |
0.999051 | − | 0.0435536i | \(-0.0138679\pi\) | |||||||
\(12\) | −734.619 | − | 1077.49i | −0.425127 | − | 0.623546i | ||||
\(13\) | −2017.10 | + | 1871.60i | −0.918117 | + | 0.851888i | −0.989348 | − | 0.145572i | \(-0.953498\pi\) |
0.0712307 | + | 0.997460i | \(0.477307\pi\) | |||||||
\(14\) | −464.506 | − | 6198.41i | −0.169281 | − | 2.25889i | ||||
\(15\) | −2556.64 | + | 6514.23i | −0.757524 | + | 1.93014i | ||||
\(16\) | 1115.19 | − | 4885.99i | 0.272264 | − | 1.19287i | ||||
\(17\) | −1266.53 | + | 390.672i | −0.257791 | + | 0.0795181i | −0.420957 | − | 0.907081i | \(-0.638306\pi\) |
0.163166 | + | 0.986599i | \(0.447829\pi\) | |||||||
\(18\) | 1258.36 | − | 1845.67i | 0.215768 | − | 0.316473i | ||||
\(19\) | 897.955 | + | 5957.54i | 0.130916 | + | 0.868573i | 0.953817 | + | 0.300388i | \(0.0971162\pi\) |
−0.822901 | + | 0.568185i | \(0.807646\pi\) | |||||||
\(20\) | 8984.32 | − | 3526.08i | 1.12304 | − | 0.440761i | ||||
\(21\) | 16693.9 | − | 8039.36i | 1.80260 | − | 0.868087i | ||||
\(22\) | −7827.16 | − | 16253.3i | −0.735082 | − | 1.52641i | ||||
\(23\) | −478.704 | − | 1219.72i | −0.0393445 | − | 0.100248i | 0.909851 | − | 0.414935i | \(-0.136196\pi\) |
−0.949196 | + | 0.314687i | \(0.898100\pi\) | |||||||
\(24\) | 6771.96 | − | 1020.71i | 0.489870 | − | 0.0738360i | ||||
\(25\) | −29882.3 | − | 20373.4i | −1.91246 | − | 1.30390i | ||||
\(26\) | 8366.53 | + | 27123.6i | 0.476020 | + | 1.54322i | ||||
\(27\) | −15362.7 | − | 3506.43i | −0.780504 | − | 0.178145i | ||||
\(28\) | −23788.2 | − | 9336.17i | −1.08364 | − | 0.425299i | ||||
\(29\) | 8931.60 | − | 669.331i | 0.366214 | − | 0.0274440i | 0.109648 | − | 0.993971i | \(-0.465028\pi\) |
0.256567 | + | 0.966527i | \(0.417409\pi\) | |||||||
\(30\) | 49100.0 | + | 52917.2i | 1.81852 | + | 1.95990i | ||||
\(31\) | −6189.16 | + | 4219.70i | −0.207753 | + | 0.141643i | −0.662727 | − | 0.748861i | \(-0.730601\pi\) |
0.454974 | + | 0.890505i | \(0.349649\pi\) | |||||||
\(32\) | −29274.7 | − | 23345.8i | −0.893394 | − | 0.712458i | ||||
\(33\) | 36576.5 | − | 39420.0i | 1.01779 | − | 1.09692i | ||||
\(34\) | −2037.75 | + | 13519.6i | −0.0518459 | + | 0.343975i | ||||
\(35\) | 30514.5 | + | 133693.i | 0.711708 | + | 3.11820i | ||||
\(36\) | −4591.90 | − | 7953.41i | −0.0984204 | − | 0.170469i | ||||
\(37\) | −7270.58 | − | 4197.67i | −0.143537 | − | 0.0828711i | 0.426512 | − | 0.904482i | \(-0.359742\pi\) |
−0.570049 | + | 0.821611i | \(0.693076\pi\) | |||||||
\(38\) | 59388.1 | + | 18318.8i | 1.08230 | + | 0.333846i | ||||
\(39\) | −66152.9 | + | 52755.2i | −1.11521 | + | 0.889347i | ||||
\(40\) | −3787.70 | + | 50543.4i | −0.0591828 | + | 0.789740i | ||||
\(41\) | −33757.3 | − | 16256.7i | −0.489798 | − | 0.235874i | 0.172649 | − | 0.984983i | \(-0.444767\pi\) |
−0.662446 | + | 0.749109i | \(0.730482\pi\) | |||||||
\(42\) | − | 191134.i | − | 2.57983i | ||||||
\(43\) | −42463.6 | + | 67217.6i | −0.534087 | + | 0.845430i | ||||
\(44\) | −74166.0 | −0.870656 | ||||||||
\(45\) | −21382.6 | + | 44401.5i | −0.234652 | + | 0.487259i | ||||
\(46\) | −13478.5 | − | 1010.08i | −0.138474 | − | 0.0103772i | ||||
\(47\) | −74746.9 | − | 93729.6i | −0.719945 | − | 0.902783i | 0.278389 | − | 0.960468i | \(-0.410199\pi\) |
−0.998335 | + | 0.0576852i | \(0.981628\pi\) | |||||||
\(48\) | 45423.8 | − | 147260.i | 0.410733 | − | 1.33156i | ||||
\(49\) | 122719. | − | 212556.i | 1.04310 | − | 1.80670i | ||||
\(50\) | −323094. | + | 186538.i | −2.58475 | + | 1.49231i | ||||
\(51\) | −39734.3 | + | 9069.10i | −0.299540 | + | 0.0683681i | ||||
\(52\) | 115393. | + | 17392.7i | 0.820673 | + | 0.123696i | ||||
\(53\) | 14520.8 | + | 13473.4i | 0.0975357 | + | 0.0904999i | 0.727434 | − | 0.686178i | \(-0.240713\pi\) |
−0.629898 | + | 0.776678i | \(0.716903\pi\) | |||||||
\(54\) | −101348. | + | 127086.i | −0.643624 | + | 0.807079i | ||||
\(55\) | 224195. | + | 328833.i | 1.34753 | + | 1.97646i | ||||
\(56\) | 98376.4 | − | 91279.9i | 0.560179 | − | 0.519770i | ||||
\(57\) | 13844.7 | + | 184744.i | 0.0747581 | + | 0.997578i | ||||
\(58\) | 33754.7 | − | 86005.5i | 0.173002 | − | 0.440801i | ||||
\(59\) | 44337.5 | − | 194255.i | 0.215882 | − | 0.945839i | −0.744603 | − | 0.667507i | \(-0.767361\pi\) |
0.960485 | − | 0.278332i | \(-0.0897815\pi\) | |||||||
\(60\) | 283596. | − | 87477.8i | 1.31295 | − | 0.404990i | ||||
\(61\) | −144301. | + | 211650.i | −0.635738 | + | 0.932457i | 0.364261 | + | 0.931297i | \(0.381322\pi\) |
−0.999999 | + | 0.00115996i | \(0.999631\pi\) | |||||||
\(62\) | 11516.6 | + | 76408.0i | 0.0483227 | + | 0.320600i | ||||
\(63\) | 121466. | − | 47671.9i | 0.485772 | − | 0.190652i | ||||
\(64\) | −59019.6 | + | 28422.3i | −0.225142 | + | 0.108423i | ||||
\(65\) | −271704. | − | 564200.i | −0.989365 | − | 2.05444i | ||||
\(66\) | −202662. | − | 516373.i | −0.704920 | − | 1.79611i | ||||
\(67\) | −309393. | + | 46633.5i | −1.02869 | + | 0.155051i | −0.641639 | − | 0.767007i | \(-0.721745\pi\) |
−0.387054 | + | 0.922057i | \(0.626507\pi\) | |||||||
\(68\) | 46443.1 | + | 31664.4i | 0.147705 | + | 0.100703i | ||||
\(69\) | −11876.1 | − | 38501.2i | −0.0361514 | − | 0.117200i | ||||
\(70\) | 1.37911e6 | + | 314772.i | 4.02072 | + | 0.917704i | ||||
\(71\) | 387116. | + | 151932.i | 1.08160 | + | 0.424496i | 0.838163 | − | 0.545421i | \(-0.183630\pi\) |
0.243436 | + | 0.969917i | \(0.421725\pi\) | |||||||
\(72\) | 48094.2 | − | 3604.16i | 0.128853 | − | 0.00965621i | ||||
\(73\) | 255790. | + | 275676.i | 0.657529 | + | 0.708648i | 0.970496 | − | 0.241116i | \(-0.0775135\pi\) |
−0.312967 | + | 0.949764i | \(0.601323\pi\) | |||||||
\(74\) | −71554.1 | + | 48784.7i | −0.176579 | + | 0.120390i | ||||
\(75\) | −869487. | − | 693393.i | −2.06101 | − | 1.64360i | ||||
\(76\) | 173792. | − | 187303.i | 0.395902 | − | 0.426681i | ||||
\(77\) | 157056. | − | 1.04200e6i | 0.344020 | − | 2.28242i | ||||
\(78\) | 194221. | + | 850939.i | 0.409273 | + | 1.79314i | ||||
\(79\) | −113798. | − | 197103.i | −0.230809 | − | 0.399773i | 0.727238 | − | 0.686386i | \(-0.240804\pi\) |
−0.958046 | + | 0.286613i | \(0.907471\pi\) | |||||||
\(80\) | 987734. | + | 570269.i | 1.92917 | + | 1.11381i | ||||
\(81\) | −613871. | − | 189354.i | −1.15511 | − | 0.356303i | ||||
\(82\) | −302177. | + | 240978.i | −0.548050 | + | 0.437056i | ||||
\(83\) | −26640.0 | + | 355486.i | −0.0465907 | + | 0.621710i | 0.924220 | + | 0.381861i | \(0.124717\pi\) |
−0.970810 | + | 0.239849i | \(0.922902\pi\) | |||||||
\(84\) | −707982. | − | 340946.i | −1.19450 | − | 0.575239i | ||||
\(85\) | − | 301634.i | − | 0.491161i | ||||||
\(86\) | 434661. | + | 695502.i | 0.683369 | + | 1.09346i | ||||
\(87\) | 275415. | 0.418244 | ||||||||
\(88\) | 168991. | − | 350914.i | 0.247980 | − | 0.514935i | ||||
\(89\) | −1.30720e6 | − | 97961.3i | −1.85427 | − | 0.138958i | −0.899617 | − | 0.436679i | \(-0.856155\pi\) |
−0.954653 | + | 0.297721i | \(0.903774\pi\) | |||||||
\(90\) | 316962. | + | 397458.i | 0.434791 | + | 0.545210i | ||||
\(91\) | −488720. | + | 1.58439e6i | −0.648539 | + | 2.10251i | ||||
\(92\) | −27784.5 | + | 48124.2i | −0.0356812 | + | 0.0618017i | ||||
\(93\) | −199480. | + | 115170.i | −0.247999 | + | 0.143182i | ||||
\(94\) | −1.20567e6 | + | 275185.i | −1.45159 | + | 0.331315i | ||||
\(95\) | −1.35580e6 | − | 204355.i | −1.58134 | − | 0.238349i | ||||
\(96\) | −844028. | − | 783144.i | −0.953989 | − | 0.885172i | ||||
\(97\) | 156144. | − | 195799.i | 0.171084 | − | 0.214533i | −0.688896 | − | 0.724860i | \(-0.741904\pi\) |
0.859980 | + | 0.510327i | \(0.170476\pi\) | |||||||
\(98\) | −1.42623e6 | − | 2.09189e6i | −1.51534 | − | 2.22260i | ||||
\(99\) | 277609. | − | 257583.i | 0.286106 | − | 0.265468i | ||||
\(100\) | 114622. | + | 1.52952e6i | 0.114622 | + | 1.52952i | ||||
\(101\) | 238399. | − | 607431.i | 0.231388 | − | 0.589567i | −0.767272 | − | 0.641322i | \(-0.778386\pi\) |
0.998660 | + | 0.0517551i | \(0.0164815\pi\) | |||||||
\(102\) | −93552.4 | + | 409880.i | −0.0881565 | + | 0.386239i | ||||
\(103\) | 1.70415e6 | − | 525661.i | 1.55954 | − | 0.481054i | 0.609395 | − | 0.792867i | \(-0.291412\pi\) |
0.950144 | + | 0.311813i | \(0.100936\pi\) | |||||||
\(104\) | −345222. | + | 506348.i | −0.306901 | + | 0.450142i | ||||
\(105\) | 628474. | + | 4.16965e6i | 0.542899 | + | 3.60190i | ||||
\(106\) | 190212. | − | 74652.7i | 0.159706 | − | 0.0626799i | ||||
\(107\) | 1.23933e6 | − | 596830.i | 1.01166 | − | 0.487191i | 0.146782 | − | 0.989169i | \(-0.453108\pi\) |
0.864881 | + | 0.501978i | \(0.167394\pi\) | |||||||
\(108\) | 289956. | + | 602099.i | 0.230176 | + | 0.477966i | ||||
\(109\) | 310048. | + | 789988.i | 0.239414 | + | 0.610016i | 0.999193 | − | 0.0401649i | \(-0.0127883\pi\) |
−0.759779 | + | 0.650181i | \(0.774693\pi\) | |||||||
\(110\) | 4.05959e6 | − | 611885.i | 3.05003 | − | 0.459718i | ||||
\(111\) | −213298. | − | 145424.i | −0.155961 | − | 0.106333i | ||||
\(112\) | −890117. | − | 2.88569e6i | −0.633567 | − | 2.05398i | ||||
\(113\) | −1.06344e6 | − | 242722.i | −0.737015 | − | 0.168219i | −0.162495 | − | 0.986709i | \(-0.551954\pi\) |
−0.574520 | + | 0.818491i | \(0.694811\pi\) | |||||||
\(114\) | 1.77897e6 | + | 698194.i | 1.20075 | + | 0.471261i | ||||
\(115\) | 297360. | − | 22284.0i | 0.195519 | − | 0.0146521i | ||||
\(116\) | −258362. | − | 278448.i | −0.165522 | − | 0.178390i | ||||
\(117\) | −492331. | + | 335666.i | −0.307397 | + | 0.209580i | ||||
\(118\) | −1.60696e6 | − | 1.28151e6i | −0.978044 | − | 0.779964i | ||||
\(119\) | −543220. | + | 585452.i | −0.322356 | + | 0.347417i | ||||
\(120\) | −232291. | + | 1.54115e6i | −0.134427 | + | 0.891868i | ||||
\(121\) | −286327. | − | 1.25448e6i | −0.161624 | − | 0.708121i | ||||
\(122\) | 1.32121e6 | + | 2.28841e6i | 0.727602 | + | 1.26024i | ||||
\(123\) | −997772. | − | 576064.i | −0.536187 | − | 0.309567i | ||||
\(124\) | 303567. | + | 93638.0i | 0.159217 | + | 0.0491119i | ||||
\(125\) | 3.65492e6 | − | 2.91470e6i | 1.87132 | − | 1.49233i | ||||
\(126\) | 100589. | − | 1.34226e6i | 0.0502850 | − | 0.671006i | ||||
\(127\) | 113755. | + | 54781.8i | 0.0555343 | + | 0.0267439i | 0.461445 | − | 0.887169i | \(-0.347331\pi\) |
−0.405910 | + | 0.913913i | \(0.633046\pi\) | |||||||
\(128\) | − | 1.72067e6i | − | 0.820478i | ||||||
\(129\) | −1.45656e6 | + | 1.96357e6i | −0.678514 | + | 0.914697i | ||||
\(130\) | −6.45972e6 | −2.94025 | ||||||||
\(131\) | 940408. | − | 1.95278e6i | 0.418314 | − | 0.868638i | −0.580217 | − | 0.814462i | \(-0.697032\pi\) |
0.998531 | − | 0.0541764i | \(-0.0172533\pi\) | |||||||
\(132\) | −2.27421e6 | − | 170429.i | −0.988802 | − | 0.0741004i | ||||
\(133\) | 2.26350e6 | + | 2.83834e6i | 0.962111 | + | 1.20645i | ||||
\(134\) | −951350. | + | 3.08420e6i | −0.395390 | + | 1.28182i | ||||
\(135\) | 1.79305e6 | − | 3.10566e6i | 0.728773 | − | 1.26227i | ||||
\(136\) | −255642. | + | 147595.i | −0.101628 | + | 0.0586752i | ||||
\(137\) | −2.25444e6 | + | 514561.i | −0.876752 | + | 0.200113i | −0.637133 | − | 0.770754i | \(-0.719880\pi\) |
−0.239619 | + | 0.970867i | \(0.577023\pi\) | |||||||
\(138\) | −410982. | − | 61945.6i | −0.156382 | − | 0.0235708i | ||||
\(139\) | 2.99621e6 | + | 2.78008e6i | 1.11565 | + | 1.03517i | 0.999118 | + | 0.0419864i | \(0.0133686\pi\) |
0.116533 | + | 0.993187i | \(0.462822\pi\) | |||||||
\(140\) | 3.62601e6 | − | 4.54688e6i | 1.32143 | − | 1.65702i | ||||
\(141\) | −2.07664e6 | − | 3.04587e6i | −0.740805 | − | 1.08656i | ||||
\(142\) | 3.14467e6 | − | 2.91783e6i | 1.09827 | − | 1.01905i | ||||
\(143\) | 359608. | + | 4.79863e6i | 0.122976 | + | 1.64100i | ||||
\(144\) | 396494. | − | 1.01025e6i | 0.132785 | − | 0.338331i | ||||
\(145\) | −453572. | + | 1.98723e6i | −0.148779 | + | 0.651844i | ||||
\(146\) | 3.70697e6 | − | 1.14345e6i | 1.19113 | − | 0.367416i | ||||
\(147\) | 4.25148e6 | − | 6.23578e6i | 1.33841 | − | 1.96308i | ||||
\(148\) | 53065.5 | + | 352067.i | 0.0163692 | + | 0.108602i | ||||
\(149\) | −444919. | + | 174618.i | −0.134500 | + | 0.0527874i | −0.431636 | − | 0.902048i | \(-0.642064\pi\) |
0.297136 | + | 0.954835i | \(0.403968\pi\) | |||||||
\(150\) | −1.03360e7 | + | 4.97753e6i | −3.06250 | + | 1.47482i | ||||
\(151\) | 27523.8 | + | 57153.7i | 0.00799424 | + | 0.0166002i | 0.904928 | − | 0.425565i | \(-0.139925\pi\) |
−0.896934 | + | 0.442165i | \(0.854210\pi\) | |||||||
\(152\) | 490223. | + | 1.24907e6i | 0.139593 | + | 0.355677i | ||||
\(153\) | −283812. | + | 42777.8i | −0.0792423 | + | 0.0119439i | ||||
\(154\) | −8.98136e6 | − | 6.12338e6i | −2.45912 | − | 1.67660i | ||||
\(155\) | −502478. | − | 1.62899e6i | −0.134934 | − | 0.437446i | ||||
\(156\) | 3.49843e6 | + | 798493.i | 0.921508 | + | 0.210328i | ||||
\(157\) | 928059. | + | 364236.i | 0.239815 | + | 0.0941205i | 0.482205 | − | 0.876058i | \(-0.339836\pi\) |
−0.242390 | + | 0.970179i | \(0.577931\pi\) | |||||||
\(158\) | −2.34120e6 | + | 175448.i | −0.593563 | + | 0.0444814i | ||||
\(159\) | 414303. | + | 446513.i | 0.103069 | + | 0.111082i | ||||
\(160\) | 7.04069e6 | − | 4.80026e6i | 1.71892 | − | 1.17194i | ||||
\(161\) | −617287. | − | 492270.i | −0.147914 | − | 0.117958i | ||||
\(162\) | −4.50737e6 | + | 4.85779e6i | −1.06018 | + | 1.14260i | ||||
\(163\) | −480840. | + | 3.19017e6i | −0.111029 | + | 0.736632i | 0.862162 | + | 0.506633i | \(0.169110\pi\) |
−0.973191 | + | 0.229998i | \(0.926128\pi\) | |||||||
\(164\) | 353585. | + | 1.54916e6i | 0.0801608 | + | 0.351208i | ||||
\(165\) | 6.11902e6 | + | 1.05985e7i | 1.36217 | + | 2.35934i | ||||
\(166\) | 3.18463e6 | + | 1.83865e6i | 0.696202 | + | 0.401952i | ||||
\(167\) | 5.57731e6 | + | 1.72037e6i | 1.19750 | + | 0.369380i | 0.828468 | − | 0.560037i | \(-0.189213\pi\) |
0.369032 | + | 0.929417i | \(0.379689\pi\) | |||||||
\(168\) | 3.22635e6 | − | 2.57293e6i | 0.680430 | − | 0.542625i | ||||
\(169\) | 205117. | − | 2.73710e6i | 0.0424954 | − | 0.567062i | ||||
\(170\) | −2.80337e6 | − | 1.35003e6i | −0.570603 | − | 0.274788i | ||||
\(171\) | 1.30468e6i | 0.260925i | ||||||||
\(172\) | 3.35157e6 | − | 369392.i | 0.658662 | − | 0.0725942i | ||||
\(173\) | 6.26902e6 | 1.21077 | 0.605385 | − | 0.795933i | \(-0.293019\pi\) | ||||
0.605385 | + | 0.795933i | \(0.293019\pi\) | |||||||
\(174\) | 1.23268e6 | − | 2.55969e6i | 0.233993 | − | 0.485892i | ||||
\(175\) | −2.17319e7 | − | 1.62858e6i | −4.05493 | − | 0.303875i | ||||
\(176\) | −5.46449e6 | − | 6.85225e6i | −1.00233 | − | 1.25688i | ||||
\(177\) | 1.80594e6 | − | 5.85473e6i | 0.325675 | − | 1.05581i | ||||
\(178\) | −6.76114e6 | + | 1.17106e7i | −1.19884 | + | 2.07644i | ||||
\(179\) | 3.89740e6 | − | 2.25016e6i | 0.679541 | − | 0.392333i | −0.120141 | − | 0.992757i | \(-0.538335\pi\) |
0.799682 | + | 0.600424i | \(0.205001\pi\) | |||||||
\(180\) | 2.03763e6 | − | 465075.i | 0.349388 | − | 0.0797454i | ||||
\(181\) | 3.33385e6 | + | 502496.i | 0.562225 | + | 0.0847417i | 0.424005 | − | 0.905660i | \(-0.360624\pi\) |
0.138220 | + | 0.990402i | \(0.455862\pi\) | |||||||
\(182\) | 1.25379e7 | + | 1.16335e7i | 2.07974 | + | 1.92972i | ||||
\(183\) | −4.91116e6 | + | 6.15840e6i | −0.801366 | + | 1.00488i | ||||
\(184\) | −164390. | − | 241115.i | −0.0263889 | − | 0.0387054i | ||||
\(185\) | 1.40056e6 | − | 1.29953e6i | 0.221201 | − | 0.205245i | ||||
\(186\) | 177564. | + | 2.36942e6i | 0.0275941 | + | 0.368217i | ||||
\(187\) | −846817. | + | 2.15766e6i | −0.129499 | + | 0.329957i | ||||
\(188\) | −1.13136e6 | + | 4.95679e6i | −0.170265 | + | 0.745980i | ||||
\(189\) | −9.07326e6 | + | 2.79873e6i | −1.34393 | + | 0.414549i | ||||
\(190\) | −7.96747e6 | + | 1.16861e7i | −1.16161 | + | 1.70377i | ||||
\(191\) | 144464. | + | 958458.i | 0.0207329 | + | 0.137554i | 0.996803 | − | 0.0799043i | \(-0.0254615\pi\) |
−0.976070 | + | 0.217458i | \(0.930223\pi\) | |||||||
\(192\) | −1.87508e6 | + | 735914.i | −0.264921 | + | 0.103974i | ||||
\(193\) | 9.32325e6 | − | 4.48984e6i | 1.29687 | − | 0.624538i | 0.347198 | − | 0.937792i | \(-0.387133\pi\) |
0.949670 | + | 0.313253i | \(0.101419\pi\) | |||||||
\(194\) | −1.12088e6 | − | 2.32754e6i | −0.153516 | − | 0.318780i | ||||
\(195\) | −7.03500e6 | − | 1.79249e7i | −0.948768 | − | 2.41742i | ||||
\(196\) | −1.02927e7 | + | 1.55137e6i | −1.36698 | + | 0.206039i | ||||
\(197\) | −3.60865e6 | − | 2.46034e6i | −0.472005 | − | 0.321807i | 0.303849 | − | 0.952720i | \(-0.401728\pi\) |
−0.775854 | + | 0.630913i | \(0.782681\pi\) | |||||||
\(198\) | −1.15146e6 | − | 3.73295e6i | −0.148339 | − | 0.480902i | ||||
\(199\) | −4.27001e6 | − | 974603.i | −0.541839 | − | 0.123671i | −0.0571626 | − | 0.998365i | \(-0.518205\pi\) |
−0.484676 | + | 0.874694i | \(0.661062\pi\) | |||||||
\(200\) | −7.49806e6 | − | 2.94277e6i | −0.937258 | − | 0.367847i | ||||
\(201\) | −9.59433e6 | + | 718995.i | −1.18148 | + | 0.0885397i | ||||
\(202\) | −4.57842e6 | − | 4.93437e6i | −0.555472 | − | 0.598656i | ||||
\(203\) | 4.45919e6 | − | 3.04023e6i | 0.533050 | − | 0.363428i | ||||
\(204\) | 1.35136e6 | + | 1.07767e6i | 0.159177 | + | 0.126940i | ||||
\(205\) | 5.79972e6 | − | 6.25062e6i | 0.673203 | − | 0.725540i | ||||
\(206\) | 2.74185e6 | − | 1.81910e7i | 0.313648 | − | 2.08092i | ||||
\(207\) | −63139.0 | − | 276630.i | −0.00711847 | − | 0.0311880i | ||||
\(208\) | 6.89514e6 | + | 1.19427e7i | 0.766220 | + | 1.32713i | ||||
\(209\) | 9.12465e6 | + | 5.26812e6i | 0.999487 | + | 0.577054i | ||||
\(210\) | 4.15654e7 | + | 1.28212e7i | 4.48822 | + | 1.38443i | ||||
\(211\) | −7.64673e6 | + | 6.09806e6i | −0.814007 | + | 0.649149i | −0.939348 | − | 0.342965i | \(-0.888569\pi\) |
0.125341 | + | 0.992114i | \(0.459997\pi\) | |||||||
\(212\) | 62779.3 | − | 837732.i | 0.00658884 | − | 0.0879220i | ||||
\(213\) | 1.15213e7 | + | 5.54838e6i | 1.19224 | + | 0.574153i | ||||
\(214\) | − | 1.41895e7i | − | 1.44786i | ||||||
\(215\) | −1.17692e7 | − | 1.37434e7i | −1.18421 | − | 1.38286i | ||||
\(216\) | −3.50949e6 | −0.348243 | ||||||||
\(217\) | −1.95842e6 | + | 4.06669e6i | −0.191658 | + | 0.397981i | ||||
\(218\) | 8.72980e6 | + | 654208.i | 0.842626 | + | 0.0631461i | ||||
\(219\) | 7.21001e6 | + | 9.04107e6i | 0.686442 | + | 0.860771i | ||||
\(220\) | 4.97503e6 | − | 1.61287e7i | 0.467227 | − | 1.51471i | ||||
\(221\) | 1.82354e6 | − | 3.15846e6i | 0.168942 | − | 0.292616i | ||||
\(222\) | −2.30622e6 | + | 1.33150e6i | −0.210786 | + | 0.121698i | ||||
\(223\) | −1.16601e7 | + | 2.66135e6i | −1.05145 | + | 0.239987i | −0.713121 | − | 0.701041i | \(-0.752719\pi\) |
−0.338330 | + | 0.941027i | \(0.609862\pi\) | |||||||
\(224\) | −2.23104e7 | − | 3.36275e6i | −1.98501 | − | 0.299193i | ||||
\(225\) | −5.74117e6 | − | 5.32703e6i | −0.504026 | − | 0.467668i | ||||
\(226\) | −7.01550e6 | + | 8.79716e6i | −0.607762 | + | 0.762109i | ||||
\(227\) | 3.77797e6 | + | 5.54126e6i | 0.322984 | + | 0.473730i | 0.953051 | − | 0.302811i | \(-0.0979250\pi\) |
−0.630067 | + | 0.776541i | \(0.716973\pi\) | |||||||
\(228\) | 5.75953e6 | − | 5.34406e6i | 0.485939 | − | 0.450886i | ||||
\(229\) | 1.26261e6 | + | 1.68484e7i | 0.105139 | + | 1.40298i | 0.761319 | + | 0.648378i | \(0.224552\pi\) |
−0.656180 | + | 0.754604i | \(0.727829\pi\) | |||||||
\(230\) | 1.12380e6 | − | 2.86338e6i | 0.0923642 | − | 0.235340i | ||||
\(231\) | 7.21039e6 | − | 3.15908e7i | 0.584956 | − | 2.56286i | ||||
\(232\) | 1.90616e6 | − | 587972.i | 0.152650 | − | 0.0470861i | ||||
\(233\) | 3.84438e6 | − | 5.63868e6i | 0.303920 | − | 0.445768i | −0.643649 | − | 0.765321i | \(-0.722580\pi\) |
0.947569 | + | 0.319553i | \(0.103533\pi\) | |||||||
\(234\) | 916118. | + | 6.07805e6i | 0.0714996 | + | 0.474369i | ||||
\(235\) | 2.53971e7 | − | 9.96763e6i | 1.95695 | − | 0.768048i | ||||
\(236\) | −7.61334e6 | + | 3.66639e6i | −0.579214 | + | 0.278935i | ||||
\(237\) | −3.03654e6 | − | 6.30544e6i | −0.228105 | − | 0.473664i | ||||
\(238\) | 3.00986e6 | + | 7.66899e6i | 0.223262 | + | 0.568862i | ||||
\(239\) | −3.66802e6 | + | 552866.i | −0.268682 | + | 0.0404973i | −0.282001 | − | 0.959414i | \(-0.590998\pi\) |
0.0133194 | + | 0.999911i | \(0.495760\pi\) | |||||||
\(240\) | 2.89773e7 | + | 1.97564e7i | 2.09616 | + | 1.42914i | ||||
\(241\) | 4.80813e6 | + | 1.55876e7i | 0.343498 | + | 1.11359i | 0.948342 | + | 0.317250i | \(0.102759\pi\) |
−0.604843 | + | 0.796344i | \(0.706764\pi\) | |||||||
\(242\) | −1.29406e7 | − | 2.95361e6i | −0.913078 | − | 0.208404i | ||||
\(243\) | −7.69521e6 | − | 3.02015e6i | −0.536292 | − | 0.210479i | ||||
\(244\) | 1.08333e7 | − | 811844.i | 0.745747 | − | 0.0558860i | ||||
\(245\) | 3.79920e7 | + | 4.09456e7i | 2.58341 | + | 2.78425i | ||||
\(246\) | −9.81966e6 | + | 6.69493e6i | −0.659616 | + | 0.449719i | ||||
\(247\) | −1.29614e7 | − | 1.03364e7i | −0.860124 | − | 0.685926i | ||||
\(248\) | −1.13474e6 | + | 1.22296e6i | −0.0743945 | + | 0.0801782i | ||||
\(249\) | −1.63377e6 | + | 1.08393e7i | −0.105826 | + | 0.702109i | ||||
\(250\) | −1.07306e7 | − | 4.70140e7i | −0.686761 | − | 3.00890i | ||||
\(251\) | −7.24158e6 | − | 1.25428e7i | −0.457944 | − | 0.793182i | 0.540908 | − | 0.841082i | \(-0.318081\pi\) |
−0.998852 | + | 0.0478994i | \(0.984747\pi\) | |||||||
\(252\) | −4.79247e6 | − | 2.76693e6i | −0.299473 | − | 0.172901i | ||||
\(253\) | −2.18964e6 | − | 675414.i | −0.135211 | − | 0.0417070i | ||||
\(254\) | 1.01828e6 | − | 812049.i | 0.0621391 | − | 0.0495543i | ||||
\(255\) | 693136. | − | 9.24926e6i | 0.0418021 | − | 0.557810i | ||||
\(256\) | −1.97690e7 | − | 9.52027e6i | −1.17833 | − | 0.567452i | ||||
\(257\) | 1.57904e7i | 0.930237i | 0.885248 | + | 0.465119i | \(0.153988\pi\) | ||||
−0.885248 | + | 0.465119i | \(0.846012\pi\) | |||||||
\(258\) | 1.17301e7 | + | 2.23256e7i | 0.683037 | + | 1.30000i | ||||
\(259\) | −5.05876e6 | −0.291169 | ||||||||
\(260\) | −1.15229e7 | + | 2.39275e7i | −0.655603 | + | 1.36137i | ||||
\(261\) | 1.93414e6 | + | 144944.i | 0.108784 | + | 0.00815225i | ||||
\(262\) | −1.39400e7 | − | 1.74802e7i | −0.775102 | − | 0.971947i | ||||
\(263\) | −2.29568e6 | + | 7.44242e6i | −0.126196 | + | 0.409116i | −0.996519 | − | 0.0833642i | \(-0.973434\pi\) |
0.870323 | + | 0.492480i | \(0.163910\pi\) | |||||||
\(264\) | 5.98829e6 | − | 1.03720e7i | 0.325455 | − | 0.563705i | ||||
\(265\) | −3.90407e6 | + | 2.25401e6i | −0.209787 | + | 0.121121i | ||||
\(266\) | 3.65102e7 | − | 8.33321e6i | 1.93985 | − | 0.442759i | ||||
\(267\) | −3.98587e7 | − | 6.00774e6i | −2.09406 | − | 0.315629i | ||||
\(268\) | 9.72719e6 | + | 9.02552e6i | 0.505339 | + | 0.468886i | ||||
\(269\) | 1.44847e7 | − | 1.81632e7i | 0.744136 | − | 0.933117i | −0.255294 | − | 0.966863i | \(-0.582172\pi\) |
0.999430 | + | 0.0337460i | \(0.0107437\pi\) | |||||||
\(270\) | −2.08386e7 | − | 3.05647e7i | −1.05871 | − | 1.55285i | ||||
\(271\) | 1.98752e7 | − | 1.84415e7i | 0.998626 | − | 0.926590i | 0.00132418 | − | 0.999999i | \(-0.499579\pi\) |
0.997302 | + | 0.0734096i | \(0.0233880\pi\) | |||||||
\(272\) | 496394. | + | 6.62392e6i | 0.0246672 | + | 0.329161i | ||||
\(273\) | −1.86269e7 | + | 4.74605e7i | −0.915486 | + | 2.33262i | ||||
\(274\) | −5.30796e6 | + | 2.32557e7i | −0.258033 | + | 1.13052i | ||||
\(275\) | −6.04382e7 | + | 1.86427e7i | −2.90612 | + | 0.896420i | ||||
\(276\) | −962566. | + | 1.41183e6i | −0.0457829 | + | 0.0671512i | ||||
\(277\) | −4.84554e6 | − | 3.21480e7i | −0.227983 | − | 1.51257i | −0.751032 | − | 0.660266i | \(-0.770443\pi\) |
0.523049 | − | 0.852303i | \(-0.324795\pi\) | |||||||
\(278\) | 3.92482e7 | − | 1.54038e7i | 1.82678 | − | 0.716956i | ||||
\(279\) | −1.46148e6 | + | 703814.i | −0.0672948 | + | 0.0324075i | ||||
\(280\) | 1.32513e7 | + | 2.75167e7i | 0.603650 | + | 1.25349i | ||||
\(281\) | −2.29574e6 | − | 5.84945e6i | −0.103467 | − | 0.263631i | 0.869760 | − | 0.493475i | \(-0.164274\pi\) |
−0.973227 | + | 0.229844i | \(0.926178\pi\) | |||||||
\(282\) | −3.76027e7 | + | 5.66769e6i | −1.67676 | + | 0.252731i | ||||
\(283\) | 3.69089e7 | + | 2.51641e7i | 1.62844 | + | 1.11025i | 0.909954 | + | 0.414710i | \(0.136117\pi\) |
0.718486 | + | 0.695541i | \(0.244835\pi\) | |||||||
\(284\) | −5.19848e6 | − | 1.68531e7i | −0.226945 | − | 0.735739i | ||||
\(285\) | −4.11045e7 | − | 9.38184e6i | −1.77564 | − | 0.405278i | ||||
\(286\) | 4.62078e7 | + | 1.81352e7i | 1.97523 | + | 0.775219i | ||||
\(287\) | −2.25138e7 | + | 1.68717e6i | −0.952362 | + | 0.0713697i | ||||
\(288\) | −5.51515e6 | − | 5.94392e6i | −0.230877 | − | 0.248826i | ||||
\(289\) | −1.84919e7 | + | 1.26076e7i | −0.766106 | + | 0.522322i | ||||
\(290\) | 1.64391e7 | + | 1.31098e7i | 0.674038 | + | 0.537528i | ||||
\(291\) | 5.23791e6 | − | 5.64512e6i | 0.212559 | − | 0.229084i | ||||
\(292\) | 2.37705e6 | − | 1.57707e7i | 0.0954750 | − | 0.633435i | ||||
\(293\) | −2.43363e6 | − | 1.06624e7i | −0.0967500 | − | 0.423890i | 0.903236 | − | 0.429144i | \(-0.141185\pi\) |
−0.999986 | + | 0.00525422i | \(0.998328\pi\) | |||||||
\(294\) | −3.89265e7 | − | 6.74227e7i | −1.53180 | − | 2.65316i | ||||
\(295\) | 3.92700e7 | + | 2.26726e7i | 1.52966 | + | 0.883150i | ||||
\(296\) | −1.78670e6 | − | 551125.i | −0.0688933 | − | 0.0212508i | ||||
\(297\) | −2.15450e7 | + | 1.71816e7i | −0.822390 | + | 0.655834i | ||||
\(298\) | −368448. | + | 4.91660e6i | −0.0139228 | + | 0.185787i | ||||
\(299\) | 3.24842e6 | + | 1.56435e6i | 0.121523 | + | 0.0585223i | ||||
\(300\) | 4.71644e7i | 1.74683i | ||||||||
\(301\) | −1.90759e6 | + | 4.78703e7i | −0.0699498 | + | 1.75536i | ||||
\(302\) | 654373. | 0.0237577 | ||||||||
\(303\) | 8.70607e6 | − | 1.80783e7i | 0.312964 | − | 0.649876i | ||||
\(304\) | 3.01099e7 | + | 2.25642e6i | 1.07174 | + | 0.0803156i | ||||
\(305\) | −3.63473e7 | − | 4.55780e7i | −1.28107 | − | 1.60641i | ||||
\(306\) | −872692. | + | 2.82920e6i | −0.0304577 | + | 0.0987414i | ||||
\(307\) | −8.82738e6 | + | 1.52895e7i | −0.305082 | + | 0.528418i | −0.977280 | − | 0.211954i | \(-0.932017\pi\) |
0.672198 | + | 0.740372i | \(0.265351\pi\) | |||||||
\(308\) | −3.87027e7 | + | 2.23450e7i | −1.32461 | + | 0.764765i | ||||
\(309\) | 5.34637e7 | − | 1.22027e7i | 1.81210 | − | 0.413601i | ||||
\(310\) | −1.73887e7 | − | 2.62093e6i | −0.583691 | − | 0.0879773i | ||||
\(311\) | 2.95292e7 | + | 2.73991e7i | 0.981680 | + | 0.910866i | 0.996029 | − | 0.0890313i | \(-0.0283771\pi\) |
−0.0143490 | + | 0.999897i | \(0.504568\pi\) | |||||||
\(312\) | −1.17494e7 | + | 1.47333e7i | −0.386858 | + | 0.485105i | ||||
\(313\) | −942861. | − | 1.38292e6i | −0.0307478 | − | 0.0450988i | 0.810557 | − | 0.585660i | \(-0.199164\pi\) |
−0.841305 | + | 0.540561i | \(0.818212\pi\) | |||||||
\(314\) | 7.53893e6 | − | 6.99511e6i | 0.243512 | − | 0.225946i | ||||
\(315\) | 2.21916e6 | + | 2.96127e7i | 0.0709998 | + | 0.947427i | ||||
\(316\) | −3.52636e6 | + | 8.98502e6i | −0.111755 | + | 0.284746i | ||||
\(317\) | 3.43027e6 | − | 1.50290e7i | 0.107684 | − | 0.471794i | −0.892116 | − | 0.451806i | \(-0.850780\pi\) |
0.999800 | − | 0.0199881i | \(-0.00636282\pi\) | |||||||
\(318\) | 6.00417e6 | − | 1.85204e6i | 0.186712 | − | 0.0575930i | ||||
\(319\) | 8.82349e6 | − | 1.29417e7i | 0.271812 | − | 0.398675i | ||||
\(320\) | −2.22190e6 | − | 1.47414e7i | −0.0678072 | − | 0.449871i | ||||
\(321\) | 3.93741e7 | − | 1.54532e7i | 1.19041 | − | 0.467200i | ||||
\(322\) | −7.33795e6 | + | 3.53377e6i | −0.219789 | + | 0.105845i | ||||
\(323\) | −3.46473e6 | − | 7.19459e6i | −0.102816 | − | 0.213500i | ||||
\(324\) | 9.95352e6 | + | 2.53612e7i | 0.292645 | + | 0.745648i | ||||
\(325\) | 9.84064e7 | − | 1.48324e7i | 2.86664 | − | 0.432077i | ||||
\(326\) | 2.74971e7 | + | 1.87472e7i | 0.793660 | + | 0.541108i | ||||
\(327\) | 7.69190e6 | + | 2.49365e7i | 0.219984 | + | 0.713169i | ||||
\(328\) | −8.13544e6 | − | 1.85686e6i | −0.230547 | − | 0.0526209i | ||||
\(329\) | −6.72450e7 | − | 2.63917e7i | −1.88831 | − | 0.741106i | ||||
\(330\) | 1.25889e8 | − | 9.43405e6i | 3.50304 | − | 0.262516i | ||||
\(331\) | −1.99578e7 | − | 2.15094e7i | −0.550337 | − | 0.593123i | 0.395217 | − | 0.918588i | \(-0.370670\pi\) |
−0.945554 | + | 0.325465i | \(0.894479\pi\) | |||||||
\(332\) | 1.24913e7 | − | 8.51644e6i | 0.341345 | − | 0.232725i | ||||
\(333\) | −1.42138e6 | − | 1.13351e6i | −0.0384926 | − | 0.0306968i | ||||
\(334\) | 4.09516e7 | − | 4.41353e7i | 1.09909 | − | 1.18453i | ||||
\(335\) | 1.06127e7 | − | 7.04109e7i | 0.282288 | − | 1.87286i | ||||
\(336\) | −2.06632e7 | − | 9.05316e7i | −0.544729 | − | 2.38662i | ||||
\(337\) | 1.53290e6 | + | 2.65506e6i | 0.0400519 | + | 0.0693720i | 0.885356 | − | 0.464913i | \(-0.153914\pi\) |
−0.845305 | + | 0.534285i | \(0.820581\pi\) | |||||||
\(338\) | −2.45204e7 | − | 1.41569e7i | −0.635006 | − | 0.366621i | ||||
\(339\) | −3.20513e7 | − | 9.88650e6i | −0.822708 | − | 0.253772i | ||||
\(340\) | −1.00013e7 | + | 7.97581e6i | −0.254461 | + | 0.202926i | ||||
\(341\) | −978953. | + | 1.30632e7i | −0.0246887 | + | 0.329448i | ||||
\(342\) | 1.21256e7 | + | 5.83939e6i | 0.303127 | + | 0.145978i | ||||
\(343\) | − | 7.70018e7i | − | 1.90818i | ||||||
\(344\) | −5.88896e6 | + | 1.66995e7i | −0.144665 | + | 0.410231i | ||||
\(345\) | 9.16939e6 | 0.223297 | ||||||||
\(346\) | 2.80584e7 | − | 5.82639e7i | 0.677384 | − | 1.40660i | ||||
\(347\) | −9.83421e6 | − | 736972.i | −0.235370 | − | 0.0176385i | −0.0434771 | − | 0.999054i | \(-0.513844\pi\) |
−0.191893 | + | 0.981416i | \(0.561463\pi\) | |||||||
\(348\) | −7.28251e6 | − | 9.13198e6i | −0.172800 | − | 0.216684i | ||||
\(349\) | −7.44554e6 | + | 2.41378e7i | −0.175154 | + | 0.567835i | 0.824843 | + | 0.565362i | \(0.191263\pi\) |
−0.999997 | + | 0.00247325i | \(0.999213\pi\) | |||||||
\(350\) | −1.12402e8 | + | 1.94686e8i | −2.62162 | + | 4.54078i | ||||
\(351\) | 3.75507e7 | − | 2.16799e7i | 0.868353 | − | 0.501344i | ||||
\(352\) | −6.38400e7 | + | 1.45711e7i | −1.46374 | + | 0.334090i | ||||
\(353\) | −4.63816e7 | − | 6.99090e6i | −1.05444 | − | 0.158931i | −0.401129 | − | 0.916022i | \(-0.631382\pi\) |
−0.653310 | + | 0.757091i | \(0.726620\pi\) | |||||||
\(354\) | −4.63306e7 | − | 4.29885e7i | −1.04438 | − | 0.969043i | ||||
\(355\) | −5.90078e7 | + | 7.39935e7i | −1.31894 | + | 1.65390i | ||||
\(356\) | 3.13169e7 | + | 4.59335e7i | 0.694111 | + | 1.01807i | ||||
\(357\) | −1.80025e7 | + | 1.67039e7i | −0.395666 | + | 0.367125i | ||||
\(358\) | −3.46920e6 | − | 4.62933e7i | −0.0756103 | − | 1.00895i | ||||
\(359\) | 892776. | − | 2.27476e6i | 0.0192956 | − | 0.0491645i | −0.920901 | − | 0.389796i | \(-0.872546\pi\) |
0.940197 | + | 0.340631i | \(0.110641\pi\) | |||||||
\(360\) | −2.44236e6 | + | 1.07007e7i | −0.0523482 | + | 0.229352i | ||||
\(361\) | 1.02698e7 | − | 3.16780e6i | 0.218293 | − | 0.0673343i | ||||
\(362\) | 1.95916e7 | − | 2.87356e7i | 0.412994 | − | 0.605751i | ||||
\(363\) | −5.89716e6 | − | 3.91251e7i | −0.123289 | − | 0.817966i | ||||
\(364\) | 6.54567e7 | − | 2.56899e7i | 1.35722 | − | 0.532670i | ||||
\(365\) | −7.71088e7 | + | 3.71336e7i | −1.58572 | + | 0.763640i | ||||
\(366\) | 3.52548e7 | + | 7.32074e7i | 0.719077 | + | 1.49318i | ||||
\(367\) | −2.20286e7 | − | 5.61280e7i | −0.445645 | − | 1.13549i | −0.960518 | − | 0.278219i | \(-0.910256\pi\) |
0.514872 | − | 0.857267i | \(-0.327839\pi\) | |||||||
\(368\) | −6.49337e6 | + | 978719.i | −0.130295 | + | 0.0196388i | ||||
\(369\) | −6.70382e6 | − | 4.57058e6i | −0.133427 | − | 0.0909688i | ||||
\(370\) | −5.80925e6 | − | 1.88331e7i | −0.114687 | − | 0.371807i | ||||
\(371\) | 1.16368e7 | + | 2.65603e6i | 0.227884 | + | 0.0520130i | ||||
\(372\) | 9.09335e6 | + | 3.56888e6i | 0.176642 | + | 0.0693270i | ||||
\(373\) | 433697. | − | 32501.1i | 0.00835719 | − | 0.000626285i | −0.0705508 | − | 0.997508i | \(-0.522476\pi\) |
0.0789080 | + | 0.996882i | \(0.474857\pi\) | |||||||
\(374\) | 1.62630e7 | + | 1.75274e7i | 0.310875 | + | 0.335044i | ||||
\(375\) | 1.18771e8 | − | 8.09770e7i | 2.25226 | − | 1.53556i | ||||
\(376\) | −2.08750e7 | − | 1.66473e7i | −0.392703 | − | 0.313170i | ||||
\(377\) | −1.67632e7 | + | 1.80665e7i | −0.312848 | + | 0.337170i | ||||
\(378\) | −1.45982e7 | + | 9.68527e7i | −0.270286 | + | 1.79323i | ||||
\(379\) | 1.17935e7 | + | 5.16707e7i | 0.216633 | + | 0.949132i | 0.959945 | + | 0.280187i | \(0.0903965\pi\) |
−0.743312 | + | 0.668945i | \(0.766746\pi\) | |||||||
\(380\) | 2.90743e7 | + | 5.03582e7i | 0.529857 | + | 0.917739i | ||||
\(381\) | 3.36229e6 | + | 1.94122e6i | 0.0607940 | + | 0.0350994i | ||||
\(382\) | 9.55444e6 | + | 2.94716e6i | 0.171402 | + | 0.0528705i | ||||
\(383\) | 9.95560e6 | − | 7.93932e6i | 0.177203 | − | 0.141315i | −0.530872 | − | 0.847452i | \(-0.678135\pi\) |
0.708075 | + | 0.706138i | \(0.249564\pi\) | |||||||
\(384\) | 3.95398e6 | − | 5.27622e7i | 0.0698298 | − | 0.931815i | ||||
\(385\) | 2.16065e8 | + | 1.04052e8i | 3.78620 | + | 1.82334i | ||||
\(386\) | − | 1.06745e8i | − | 1.85604i | ||||||
\(387\) | −1.12622e7 | + | 1.30229e7i | −0.194309 | + | 0.224685i | ||||
\(388\) | −1.06209e7 | −0.181830 | ||||||||
\(389\) | −4.68968e7 | + | 9.73822e7i | −0.796699 | + | 1.65436i | −0.0412552 | + | 0.999149i | \(0.513136\pi\) |
−0.755444 | + | 0.655214i | \(0.772579\pi\) | |||||||
\(390\) | −1.98080e8 | − | 1.48440e7i | −3.33923 | − | 0.250240i | ||||
\(391\) | 1.08280e6 | + | 1.35779e6i | 0.0181142 | + | 0.0227145i | ||||
\(392\) | 1.61122e7 | − | 5.22344e7i | 0.267483 | − | 0.867159i | ||||
\(393\) | 3.33239e7 | − | 5.77186e7i | 0.549007 | − | 0.950907i | ||||
\(394\) | −3.90176e7 | + | 2.25268e7i | −0.637928 | + | 0.368308i | ||||
\(395\) | 5.04970e7 | − | 1.15256e7i | 0.819360 | − | 0.187013i | ||||
\(396\) | −1.58813e7 | − | 2.39371e6i | −0.255740 | − | 0.0385467i | ||||
\(397\) | −3.55657e7 | − | 3.30002e7i | −0.568408 | − | 0.527405i | 0.342770 | − | 0.939420i | \(-0.388635\pi\) |
−0.911178 | + | 0.412014i | \(0.864825\pi\) | |||||||
\(398\) | −2.81693e7 | + | 3.53232e7i | −0.446815 | + | 0.560288i | ||||
\(399\) | 6.28852e7 | + | 9.22356e7i | 0.989987 | + | 1.45204i | ||||
\(400\) | −1.32869e8 | + | 1.23284e8i | −2.07607 | + | 1.92631i | ||||
\(401\) | −2503.52 | − | 33407.1i | −3.88256e−5 | − | 0.000518091i | 0.997184 | − | 0.0749891i | \(-0.0238922\pi\) |
−0.997223 | + | 0.0744710i | \(0.976273\pi\) | |||||||
\(402\) | −3.62593e7 | + | 9.23872e7i | −0.558138 | + | 1.42211i | ||||
\(403\) | 4.58659e6 | − | 2.00952e7i | 0.0700770 | − | 0.307027i | ||||
\(404\) | −2.64445e7 | + | 8.15704e6i | −0.401043 | + | 0.123705i | ||||
\(405\) | 8.23566e7 | − | 1.20795e8i | 1.23975 | − | 1.81838i | ||||
\(406\) | −8.29757e6 | − | 5.50508e7i | −0.123986 | − | 0.822593i | ||||
\(407\) | −1.36669e7 | + | 5.36385e6i | −0.202715 | + | 0.0795598i | ||||
\(408\) | −8.17812e6 | + | 3.93838e6i | −0.120413 | + | 0.0579878i | ||||
\(409\) | 2.19610e6 | + | 4.56025e6i | 0.0320983 | + | 0.0666529i | 0.916401 | − | 0.400260i | \(-0.131080\pi\) |
−0.884303 | + | 0.466913i | \(0.845366\pi\) | |||||||
\(410\) | −3.21349e7 | − | 8.18784e7i | −0.466257 | − | 1.18800i | ||||
\(411\) | −7.03122e7 | + | 1.05979e7i | −1.01276 | + | 0.152648i | ||||
\(412\) | −6.24905e7 | − | 4.26053e7i | −0.893558 | − | 0.609217i | ||||
\(413\) | −3.53890e7 | − | 1.14728e8i | −0.502363 | − | 1.62862i | ||||
\(414\) | −2.85358e6 | − | 651310.i | −0.0402151 | − | 0.00917882i | ||||
\(415\) | −7.55194e7 | − | 2.96392e7i | −1.05661 | − | 0.414689i | ||||
\(416\) | 1.02744e8 | − | 7.69961e6i | 1.42718 | − | 0.106952i | ||||
\(417\) | 8.54869e7 | + | 9.21330e7i | 1.17894 | + | 1.27059i | ||||
\(418\) | 8.98011e7 | − | 6.12253e7i | 1.22957 | − | 0.838305i | ||||
\(419\) | 9.70867e7 | + | 7.74241e7i | 1.31983 | + | 1.05253i | 0.994258 | + | 0.107011i | \(0.0341279\pi\) |
0.325571 | + | 0.945518i | \(0.394443\pi\) | |||||||
\(420\) | 1.21636e8 | − | 1.31092e8i | 1.64177 | − | 1.76941i | ||||
\(421\) | −6.17478e6 | + | 4.09670e7i | −0.0827514 | + | 0.549019i | 0.908588 | + | 0.417694i | \(0.137161\pi\) |
−0.991339 | + | 0.131326i | \(0.958077\pi\) | |||||||
\(422\) | 2.24504e7 | + | 9.83615e7i | 0.298735 | + | 1.30884i | ||||
\(423\) | −1.29805e7 | − | 2.24829e7i | −0.171503 | − | 0.297051i | ||||
\(424\) | 3.82065e6 | + | 2.20586e6i | 0.0501234 | + | 0.0289387i | ||||
\(425\) | 4.58060e7 | + | 1.41293e7i | 0.596700 | + | 0.184058i | ||||
\(426\) | 1.03133e8 | − | 8.22456e7i | 1.33404 | − | 1.06386i | ||||
\(427\) | −1.15349e7 | + | 1.53923e8i | −0.148160 | + | 1.97705i | ||||
\(428\) | −5.25596e7 | − | 2.53114e7i | −0.670379 | − | 0.322838i | ||||
\(429\) | 1.47971e8i | 1.87415i | ||||||||
\(430\) | −1.80406e8 | + | 4.78704e7i | −2.26906 | + | 0.602090i | ||||
\(431\) | 7.64765e7 | 0.955204 | 0.477602 | − | 0.878576i | \(-0.341506\pi\) | ||||
0.477602 | + | 0.878576i | \(0.341506\pi\) | |||||||
\(432\) | −3.42647e7 | + | 7.11514e7i | −0.425007 | + | 0.882535i | ||||
\(433\) | −1.32467e8 | − | 9.92699e6i | −1.63171 | − | 0.122280i | −0.772883 | − | 0.634549i | \(-0.781186\pi\) |
−0.858825 | + | 0.512269i | \(0.828805\pi\) | |||||||
\(434\) | 2.90303e7 | + | 3.64029e7i | 0.355126 | + | 0.445314i | ||||
\(435\) | −1.84748e7 | + | 5.98937e7i | −0.224445 | + | 0.727634i | ||||
\(436\) | 1.79955e7 | − | 3.11692e7i | 0.217123 | − | 0.376067i | ||||
\(437\) | 6.83667e6 | − | 3.94715e6i | 0.0819219 | − | 0.0472976i | ||||
\(438\) | 1.16297e8 | − | 2.65441e7i | 1.38404 | − | 0.315897i | ||||
\(439\) | −1.47159e8 | − | 2.21806e7i | −1.73937 | − | 0.262168i | −0.798760 | − | 0.601649i | \(-0.794510\pi\) |
−0.940613 | + | 0.339481i | \(0.889749\pi\) | |||||||
\(440\) | 6.49763e7 | + | 6.02892e7i | 0.762776 | + | 0.707753i | ||||
\(441\) | 3.31383e7 | − | 4.15541e7i | 0.386380 | − | 0.484505i | ||||
\(442\) | −2.11929e7 | − | 3.10843e7i | −0.245428 | − | 0.359976i | ||||
\(443\) | −6.53508e7 | + | 6.06367e7i | −0.751692 | + | 0.697468i | −0.959815 | − | 0.280634i | \(-0.909455\pi\) |
0.208123 | + | 0.978103i | \(0.433265\pi\) | |||||||
\(444\) | 818164. | + | 1.09176e7i | 0.00934742 | + | 0.124733i | ||||
\(445\) | 1.08990e8 | − | 2.77702e8i | 1.23682 | − | 3.15137i | ||||
\(446\) | −2.74532e7 | + | 1.20280e8i | −0.309448 | + | 1.35578i | ||||
\(447\) | −1.40442e7 | + | 4.33206e6i | −0.157244 | + | 0.0485033i | ||||
\(448\) | −2.22355e7 | + | 3.26135e7i | −0.247294 | + | 0.362713i | ||||
\(449\) | −1.46441e7 | − | 9.71574e7i | −0.161780 | − | 1.07334i | −0.911415 | − | 0.411488i | \(-0.865009\pi\) |
0.749636 | − | 0.661851i | \(-0.230229\pi\) | |||||||
\(450\) | −7.52051e7 | + | 2.95158e7i | −0.825296 | + | 0.323905i | ||||
\(451\) | −5.90348e7 | + | 2.84297e7i | −0.643545 | + | 0.309915i | ||||
\(452\) | 2.00714e7 | + | 4.16786e7i | 0.217351 | + | 0.451334i | ||||
\(453\) | 712648. | + | 1.81580e6i | 0.00766621 | + | 0.0195332i | ||||
\(454\) | 6.84093e7 | − | 1.03110e7i | 0.731051 | − | 0.110188i | ||||
\(455\) | −3.11770e8 | − | 2.12561e8i | −3.30979 | − | 2.25658i | ||||
\(456\) | 1.21618e7 | + | 3.94277e7i | 0.128264 | + | 0.415822i | ||||
\(457\) | 7.57139e6 | + | 1.72812e6i | 0.0793281 | + | 0.0181061i | 0.262001 | − | 0.965068i | \(-0.415618\pi\) |
−0.182673 | + | 0.983174i | \(0.558475\pi\) | |||||||
\(458\) | 1.62239e8 | + | 6.36742e7i | 1.68873 | + | 0.662777i | ||||
\(459\) | 2.08271e7 | − | 1.56078e6i | 0.215373 | − | 0.0161400i | ||||
\(460\) | −8.60166e6 | − | 9.27038e6i | −0.0883708 | − | 0.0952410i | ||||
\(461\) | −2.67171e7 | + | 1.82154e7i | −0.272701 | + | 0.185924i | −0.691947 | − | 0.721948i | \(-0.743247\pi\) |
0.419246 | + | 0.907873i | \(0.362294\pi\) | |||||||
\(462\) | −2.61331e8 | − | 2.08405e8i | −2.65012 | − | 2.11340i | ||||
\(463\) | 3.62915e6 | − | 3.91130e6i | 0.0365647 | − | 0.0394074i | −0.714505 | − | 0.699631i | \(-0.753348\pi\) |
0.751069 | + | 0.660223i | \(0.229538\pi\) | |||||||
\(464\) | 6.69013e6 | − | 4.43861e7i | 0.0669700 | − | 0.444317i | ||||
\(465\) | −1.16646e7 | − | 5.11059e7i | −0.116014 | − | 0.508290i | ||||
\(466\) | −3.51991e7 | − | 6.09667e7i | −0.347836 | − | 0.602469i | ||||
\(467\) | 1.62689e8 | + | 9.39283e7i | 1.59737 | + | 0.922244i | 0.991991 | + | 0.126308i | \(0.0403128\pi\) |
0.605382 | + | 0.795935i | \(0.293021\pi\) | |||||||
\(468\) | 2.41479e7 | + | 7.44865e6i | 0.235582 | + | 0.0726675i | ||||
\(469\) | −1.47403e8 | + | 1.17550e8i | −1.42886 | + | 1.13947i | ||||
\(470\) | 2.10320e7 | − | 2.80652e8i | 0.202575 | − | 2.70318i | ||||
\(471\) | 2.76208e7 | + | 1.33015e7i | 0.264347 | + | 0.127303i | ||||
\(472\) | − | 4.43763e7i | − | 0.422012i | ||||||
\(473\) | 4.56038e7 | + | 1.31350e8i | 0.430941 | + | 1.24122i | ||||
\(474\) | −7.21932e7 | −0.677893 | ||||||||
\(475\) | 9.45424e7 | − | 1.96319e8i | 0.882157 | − | 1.83182i | ||||
\(476\) | 3.37758e7 | + | 2.53114e6i | 0.313173 | + | 0.0234691i | ||||
\(477\) | 2.67451e6 | + | 3.35373e6i | 0.0246427 | + | 0.0309010i | ||||
\(478\) | −1.12788e7 | + | 3.65649e7i | −0.103271 | + | 0.334796i | ||||
\(479\) | 4.98382e7 | − | 8.63224e7i | 0.453478 | − | 0.785447i | −0.545121 | − | 0.838357i | \(-0.683516\pi\) |
0.998599 | + | 0.0529103i | \(0.0168497\pi\) | |||||||
\(480\) | 2.26925e8 | − | 1.31015e8i | 2.05191 | − | 1.18467i | ||||
\(481\) | 2.25219e7 | − | 5.14047e6i | 0.202381 | − | 0.0461920i | ||||
\(482\) | 1.66390e8 | + | 2.50792e7i | 1.48589 | + | 0.223961i | ||||
\(483\) | −1.77972e7 | − | 1.65134e7i | −0.157946 | − | 0.146553i | ||||
\(484\) | −3.40240e7 | + | 4.26647e7i | −0.300088 | + | 0.376299i | ||||
\(485\) | 3.21056e7 | + | 4.70903e7i | 0.281421 | + | 0.412768i | ||||
\(486\) | −6.25108e7 | + | 5.80015e7i | −0.544560 | + | 0.505278i | ||||
\(487\) | 1.34128e7 | + | 1.78982e8i | 0.116127 | + | 1.54961i | 0.685832 | + | 0.727760i | \(0.259438\pi\) |
−0.569705 | + | 0.821849i | \(0.692943\pi\) | |||||||
\(488\) | −2.08431e7 | + | 5.31073e7i | −0.179350 | + | 0.456977i | ||||
\(489\) | −2.20752e7 | + | 9.67177e7i | −0.188789 | + | 0.827141i | ||||
\(490\) | 5.50588e8 | − | 1.69834e8i | 4.67992 | − | 1.44356i | ||||
\(491\) | 2.04162e7 | − | 2.99451e7i | 0.172477 | − | 0.252977i | −0.730261 | − | 0.683168i | \(-0.760602\pi\) |
0.902738 | + | 0.430191i | \(0.141554\pi\) | |||||||
\(492\) | 7.28240e6 | + | 4.83156e7i | 0.0611476 | + | 0.405688i | ||||
\(493\) | −1.10506e7 | + | 4.33705e6i | −0.0922245 | + | 0.0361955i | ||||
\(494\) | −1.54077e8 | + | 7.41998e7i | −1.27808 | + | 0.615491i | ||||
\(495\) | 3.73940e7 | + | 7.76494e7i | 0.308309 | + | 0.640210i | ||||
\(496\) | 1.37153e7 | + | 3.49459e7i | 0.112398 | + | 0.286386i | ||||
\(497\) | 2.47787e8 | − | 3.73479e7i | 2.01841 | − | 0.304226i | ||||
\(498\) | 9.34279e7 | + | 6.36981e7i | 0.756464 | + | 0.515749i | ||||
\(499\) | −3.27604e7 | − | 1.06207e8i | −0.263662 | − | 0.854771i | −0.986501 | − | 0.163754i | \(-0.947640\pi\) |
0.722839 | − | 0.691016i | \(-0.242837\pi\) | |||||||
\(500\) | −1.93286e8 | − | 4.41164e7i | −1.54629 | − | 0.352931i | ||||
\(501\) | 1.67068e8 | + | 6.55695e7i | 1.32856 | + | 0.521421i | ||||
\(502\) | −1.48983e8 | + | 1.11648e7i | −1.17768 | + | 0.0882548i | ||||
\(503\) | −7.59366e7 | − | 8.18402e7i | −0.596688 | − | 0.643077i | 0.360426 | − | 0.932788i | \(-0.382631\pi\) |
−0.957114 | + | 0.289711i | \(0.906441\pi\) | |||||||
\(504\) | 2.40115e7 | − | 1.63708e7i | 0.187555 | − | 0.127873i | ||||
\(505\) | 1.16105e8 | + | 9.25903e7i | 0.901520 | + | 0.718938i | ||||
\(506\) | −1.60775e7 | + | 1.73274e7i | −0.124099 | + | 0.133746i | ||||
\(507\) | 1.25794e7 | − | 8.34586e7i | 0.0965239 | − | 0.640394i | ||||
\(508\) | −1.19151e6 | − | 5.22035e6i | −0.00908881 | − | 0.0398207i | ||||
\(509\) | −1.29802e8 | − | 2.24824e8i | −0.984304 | − | 1.70486i | −0.644991 | − | 0.764190i | \(-0.723139\pi\) |
−0.339313 | − | 0.940674i | \(-0.610195\pi\) | |||||||
\(510\) | −8.28599e7 | − | 4.78392e7i | −0.624646 | − | 0.360639i | ||||
\(511\) | 2.16538e8 | + | 6.67931e7i | 1.62282 | + | 0.500575i | ||||
\(512\) | −9.08644e7 | + | 7.24620e7i | −0.676993 | + | 0.539884i | ||||
\(513\) | 7.09471e6 | − | 9.46723e7i | 0.0525512 | − | 0.701247i | ||||
\(514\) | 1.46755e8 | + | 7.06736e7i | 1.08070 | + | 0.520436i | ||||
\(515\) | 4.05858e8i | 2.97134i | ||||||||
\(516\) | 1.03621e8 | − | 3.62527e6i | 0.754219 | − | 0.0263871i | ||||
\(517\) | −2.09654e8 | −1.51716 | ||||||||
\(518\) | −2.26416e7 | + | 4.70158e7i | −0.162899 | + | 0.338263i | ||||
\(519\) | 1.92232e8 | + | 1.44058e7i | 1.37507 | + | 0.103047i | ||||
\(520\) | −8.69567e7 | − | 1.09040e8i | −0.618433 | − | 0.775491i | ||||
\(521\) | −5.39255e7 | + | 1.74822e8i | −0.381312 | + | 1.23618i | 0.538097 | + | 0.842883i | \(0.319143\pi\) |
−0.919409 | + | 0.393302i | \(0.871333\pi\) | |||||||
\(522\) | 1.00038e7 | − | 1.73270e7i | 0.0703319 | − | 0.121818i | ||||
\(523\) | −2.42292e8 | + | 1.39887e8i | −1.69369 | + | 0.977853i | −0.742200 | + | 0.670179i | \(0.766217\pi\) |
−0.951492 | + | 0.307675i | \(0.900449\pi\) | |||||||
\(524\) | −8.96149e7 | + | 2.04540e7i | −0.622854 | + | 0.142162i | ||||
\(525\) | −6.62640e8 | − | 9.98769e7i | −4.57931 | − | 0.690220i | ||||
\(526\) | 5.88946e7 | + | 5.46462e7i | 0.404686 | + | 0.375494i | ||||
\(527\) | 6.19023e6 | − | 7.76230e6i | 0.0422936 | − | 0.0530345i | ||||
\(528\) | −1.51816e8 | − | 2.22673e8i | −1.03137 | − | 1.51275i | ||||
\(529\) | 1.07259e8 | − | 9.95222e7i | 0.724550 | − | 0.672284i | ||||
\(530\) | 3.47514e6 | + | 4.63725e7i | 0.0233424 | + | 0.311482i | ||||
\(531\) | 1.57637e7 | − | 4.01652e7i | 0.105287 | − | 0.268266i | ||||
\(532\) | 3.42599e7 | − | 1.50103e8i | 0.227537 | − | 0.996903i | ||||
\(533\) | 9.85180e7 | − | 3.03888e7i | 0.650630 | − | 0.200693i | ||||
\(534\) | −2.34232e8 | + | 3.43556e8i | −1.53824 | + | 2.25618i | ||||
\(535\) | 4.66570e7 | + | 3.09549e8i | 0.304688 | + | 2.02147i | ||||
\(536\) | −6.48678e7 | + | 2.54588e7i | −0.421245 | + | 0.165327i | ||||
\(537\) | 1.24680e8 | − | 6.00426e7i | 0.805143 | − | 0.387736i | ||||
\(538\) | −1.03979e8 | − | 2.15914e8i | −0.667724 | − | 1.38654i | ||||
\(539\) | −1.56813e8 | − | 3.99552e8i | −1.00142 | − | 2.55157i | ||||
\(540\) | −1.50387e8 | + | 2.26672e7i | −0.955056 | + | 0.143952i | ||||
\(541\) | 1.62729e8 | + | 1.10947e8i | 1.02772 | + | 0.700685i | 0.954981 | − | 0.296667i | \(-0.0958750\pi\) |
0.0727347 | + | 0.997351i | \(0.476827\pi\) | |||||||
\(542\) | −8.24381e7 | − | 2.67258e8i | −0.517762 | − | 1.67854i | ||||
\(543\) | 1.01074e8 | + | 2.30694e7i | 0.631304 | + | 0.144091i | ||||
\(544\) | 4.61979e7 | + | 1.81313e7i | 0.286962 | + | 0.112624i | ||||
\(545\) | −1.92594e8 | + | 1.44330e7i | −1.18975 | + | 0.0891591i | ||||
\(546\) | 3.57726e8 | + | 3.85537e8i | 2.19772 | + | 2.36858i | ||||
\(547\) | 3.62627e7 | − | 2.47235e7i | 0.221564 | − | 0.151059i | −0.447452 | − | 0.894308i | \(-0.647668\pi\) |
0.669015 | + | 0.743249i | \(0.266716\pi\) | |||||||
\(548\) | 7.66733e7 | + | 6.11449e7i | 0.465910 | + | 0.371551i | ||||
\(549\) | −3.77303e7 | + | 4.06636e7i | −0.228020 | + | 0.245747i | ||||
\(550\) | −9.72407e7 | + | 6.45150e8i | −0.584467 | + | 3.87768i | ||||
\(551\) | 1.20077e7 | + | 5.26093e7i | 0.0717805 | + | 0.314491i | ||||
\(552\) | −4.48674e6 | − | 7.77127e6i | −0.0266756 | − | 0.0462035i | ||||
\(553\) | −1.18768e8 | − | 6.85708e7i | −0.702303 | − | 0.405475i | ||||
\(554\) | −3.20470e8 | − | 9.88518e7i | −1.88477 | − | 0.581373i | ||||
\(555\) | 4.59328e7 | − | 3.66302e7i | 0.268686 | − | 0.214270i | ||||
\(556\) | 1.29538e7 | − | 1.72857e8i | 0.0753657 | − | 1.00569i | ||||
\(557\) | −1.89759e8 | − | 9.13833e7i | −1.09809 | − | 0.528812i | −0.205032 | − | 0.978755i | \(-0.565730\pi\) |
−0.893057 | + | 0.449943i | \(0.851444\pi\) | |||||||
\(558\) | 1.67330e7i | 0.0963102i | ||||||||
\(559\) | −4.01508e7 | − | 2.15060e8i | −0.229858 | − | 1.23119i | ||||
\(560\) | 6.87251e8 | 3.91337 | ||||||||
\(561\) | −3.09248e7 | + | 6.42160e7i | −0.175153 | + | 0.363710i | ||||
\(562\) | −6.46396e7 | − | 4.84407e6i | −0.364158 | − | 0.0272899i | ||||
\(563\) | −1.76797e8 | − | 2.21696e8i | −0.990715 | − | 1.24232i | −0.970144 | − | 0.242529i | \(-0.922023\pi\) |
−0.0205713 | − | 0.999788i | \(-0.506549\pi\) | |||||||
\(564\) | −4.60821e7 | + | 1.49394e8i | −0.256859 | + | 0.832716i | ||||
\(565\) | 1.24119e8 | − | 2.14981e8i | 0.688166 | − | 1.19194i | ||||
\(566\) | 3.99068e8 | − | 2.30402e8i | 2.20088 | − | 1.27068i | ||||
\(567\) | −3.77391e8 | + | 8.61371e7i | −2.07034 | + | 0.472543i | ||||
\(568\) | 9.15847e7 | + | 1.38042e7i | 0.499779 | + | 0.0753295i | ||||
\(569\) | −7.29034e7 | − | 6.76445e7i | −0.395741 | − | 0.367194i | 0.457055 | − | 0.889439i | \(-0.348904\pi\) |
−0.852796 | + | 0.522245i | \(0.825095\pi\) | |||||||
\(570\) | −2.71167e8 | + | 3.40033e8i | −1.46424 | + | 1.83610i | ||||
\(571\) | −1.23062e7 | − | 1.80499e7i | −0.0661024 | − | 0.0969544i | 0.791764 | − | 0.610827i | \(-0.209163\pi\) |
−0.857867 | + | 0.513872i | \(0.828210\pi\) | |||||||
\(572\) | 1.49600e8 | − | 1.38809e8i | 0.799364 | − | 0.741702i | ||||
\(573\) | 2.22735e6 | + | 2.97220e7i | 0.0118393 | + | 0.157984i | ||||
\(574\) | −8.50850e7 | + | 2.16793e8i | −0.449901 | + | 1.14633i | ||||
\(575\) | −1.05450e7 | + | 4.62007e7i | −0.0554682 | + | 0.243022i | ||||
\(576\) | −1.35553e7 | + | 4.18125e6i | −0.0709318 | + | 0.0218795i | ||||
\(577\) | −1.36657e8 | + | 2.00439e8i | −0.711384 | + | 1.04341i | 0.285007 | + | 0.958525i | \(0.408004\pi\) |
−0.996391 | + | 0.0848827i | \(0.972948\pi\) | |||||||
\(578\) | 3.44094e7 | + | 2.28291e8i | 0.178194 | + | 1.18224i | ||||
\(579\) | 2.96204e8 | − | 1.16251e8i | 1.52600 | − | 0.598912i | ||||
\(580\) | 7.78842e7 | − | 3.75070e7i | 0.399177 | − | 0.192233i | ||||
\(581\) | 9.32003e7 | + | 1.93532e8i | 0.475214 | + | 0.986791i | ||||
\(582\) | −2.90220e7 | − | 7.39469e7i | −0.147217 | − | 0.375103i | ||||
\(583\) | 3.42546e7 | − | 5.16305e6i | 0.172867 | − | 0.0260556i | ||||
\(584\) | 6.92023e7 | + | 4.71813e7i | 0.347442 | + | 0.236882i | ||||
\(585\) | −3.99708e7 | − | 1.29582e8i | −0.199653 | − | 0.647258i | ||||
\(586\) | −1.09988e8 | − | 2.51041e7i | −0.546579 | − | 0.124753i | ||||
\(587\) | 1.26996e8 | + | 4.98423e7i | 0.627879 | + | 0.246424i | 0.657877 | − | 0.753126i | \(-0.271455\pi\) |
−0.0299979 | + | 0.999550i | \(0.509550\pi\) | |||||||
\(588\) | −3.19178e8 | + | 2.39191e7i | −1.57001 | + | 0.117656i | ||||
\(589\) | −3.06966e7 | − | 3.30831e7i | −0.150226 | − | 0.161905i | ||||
\(590\) | 3.86480e8 | − | 2.63497e8i | 1.88179 | − | 1.28298i | ||||
\(591\) | −1.05001e8 | − | 8.37358e7i | −0.508666 | − | 0.405647i | ||||
\(592\) | −2.86179e7 | + | 3.08427e7i | −0.137934 | + | 0.148658i | ||||
\(593\) | 3.51582e7 | − | 2.33260e8i | 0.168602 | − | 1.11860i | −0.731155 | − | 0.682211i | \(-0.761018\pi\) |
0.899757 | − | 0.436391i | \(-0.143744\pi\) | |||||||
\(594\) | 6.32551e7 | + | 2.77139e8i | 0.301812 | + | 1.32232i | ||||
\(595\) | −9.08775e7 | − | 1.57404e8i | −0.431425 | − | 0.747251i | ||||
\(596\) | 1.75544e7 | + | 1.01350e7i | 0.0829176 | + | 0.0478725i | ||||
\(597\) | −1.28695e8 | − | 3.96972e7i | −0.604839 | − | 0.186568i | ||||
\(598\) | 2.90781e7 | − | 2.31890e7i | 0.135976 | − | 0.108437i | ||||
\(599\) | 1.03874e7 | − | 1.38610e8i | 0.0483310 | − | 0.644933i | −0.919461 | − | 0.393181i | \(-0.871374\pi\) |
0.967792 | − | 0.251751i | \(-0.0810065\pi\) | |||||||
\(600\) | −2.23157e8 | − | 1.07467e8i | −1.03313 | − | 0.497531i | ||||
\(601\) | − | 7.49553e7i | − | 0.345286i | −0.984984 | − | 0.172643i | \(-0.944769\pi\) | ||
0.984984 | − | 0.172643i | \(-0.0552307\pi\) | |||||||
\(602\) | 4.36367e8 | + | 2.31984e8i | 2.00015 | + | 1.06333i | ||||
\(603\) | −6.77558e7 | −0.309026 | ||||||||
\(604\) | 1.16727e6 | − | 2.42387e6i | 0.00529739 | − | 0.0110001i | ||||
\(605\) | 2.92015e8 | + | 2.18835e7i | 1.31868 | + | 0.0988212i | ||||
\(606\) | −1.29053e8 | − | 1.61827e8i | −0.579897 | − | 0.727167i | ||||
\(607\) | −9.22709e6 | + | 2.99135e7i | −0.0412571 | + | 0.133752i | −0.973858 | − | 0.227156i | \(-0.927057\pi\) |
0.932601 | + | 0.360909i | \(0.117533\pi\) | |||||||
\(608\) | 1.12796e8 | − | 1.95369e8i | 0.501862 | − | 0.869251i | ||||
\(609\) | 1.43722e8 | − | 8.29780e7i | 0.636315 | − | 0.367376i | ||||
\(610\) | −5.86280e8 | + | 1.33815e8i | −2.58295 | + | 0.589541i | ||||
\(611\) | 3.26196e8 | + | 4.91662e7i | 1.43006 | + | 0.215548i | ||||
\(612\) | 8.92295e6 | + | 8.27929e6i | 0.0389273 | + | 0.0361193i | ||||
\(613\) | 1.24489e8 | − | 1.56104e8i | 0.540442 | − | 0.677693i | −0.434367 | − | 0.900736i | \(-0.643028\pi\) |
0.974808 | + | 0.223044i | \(0.0715992\pi\) | |||||||
\(614\) | 1.02591e8 | + | 1.50473e8i | 0.443203 | + | 0.650059i | ||||
\(615\) | 1.92205e8 | − | 1.78340e8i | 0.826304 | − | 0.766698i | ||||
\(616\) | −1.75385e7 | − | 2.34035e8i | −0.0750325 | − | 1.00124i | ||||
\(617\) | −5.05131e7 | + | 1.28705e8i | −0.215055 | + | 0.547950i | −0.997170 | − | 0.0751838i | \(-0.976046\pi\) |
0.782115 | + | 0.623134i | \(0.214141\pi\) | |||||||
\(618\) | 1.25877e8 | − | 5.51505e8i | 0.533313 | − | 2.33660i | ||||
\(619\) | −6.31149e7 | + | 1.94684e7i | −0.266109 | + | 0.0820838i | −0.424938 | − | 0.905222i | \(-0.639704\pi\) |
0.158829 | + | 0.987306i | \(0.449228\pi\) | |||||||
\(620\) | −4.07264e7 | + | 5.97346e7i | −0.170884 | + | 0.250640i | ||||
\(621\) | 3.07731e6 | + | 2.04166e7i | 0.0128498 | + | 0.0852530i | ||||
\(622\) | 3.86810e8 | − | 1.51812e8i | 1.60741 | − | 0.630862i | ||||
\(623\) | −7.11663e8 | + | 3.42719e8i | −2.94314 | + | 1.41734i | ||||
\(624\) | 1.83988e8 | + | 3.82054e8i | 0.757243 | + | 1.57243i | ||||
\(625\) | 1.82225e8 | + | 4.64301e8i | 0.746393 | + | 1.90178i | ||||
\(626\) | −1.70728e7 | + | 2.57331e6i | −0.0695956 | + | 0.0104898i | ||||
\(627\) | 2.67691e8 | + | 1.82508e8i | 1.08600 | + | 0.740424i | ||||
\(628\) | −1.24627e7 | − | 4.04029e7i | −0.0503190 | − | 0.163130i | ||||
\(629\) | 1.08483e7 | + | 2.47605e6i | 0.0435923 | + | 0.00994966i | ||||
\(630\) | 2.85151e8 | + | 1.11913e8i | 1.14039 | + | 0.447570i | ||||
\(631\) | 3.57234e7 | − | 2.67710e6i | 0.142189 | − | 0.0106556i | −0.00344562 | − | 0.999994i | \(-0.501097\pi\) |
0.145634 | + | 0.989338i | \(0.453478\pi\) | |||||||
\(632\) | −3.44773e7 | − | 3.71577e7i | −0.136578 | − | 0.147196i | ||||
\(633\) | −2.48491e8 | + | 1.69418e8i | −0.979713 | + | 0.667957i | ||||
\(634\) | −1.24326e8 | − | 9.91465e7i | −0.487858 | − | 0.389054i | ||||
\(635\) | −1.95439e7 | + | 2.10633e7i | −0.0763291 | + | 0.0822632i | ||||
\(636\) | 3.85011e6 | − | 2.55438e7i | 0.0149659 | − | 0.0992920i | ||||
\(637\) | 1.50282e8 | + | 6.58428e8i | 0.581418 | + | 2.54736i | ||||
\(638\) | −8.07878e7 | − | 1.39929e8i | −0.311088 | − | 0.538821i | ||||
\(639\) | 7.79901e7 | + | 4.50276e7i | 0.298907 | + | 0.172574i | ||||
\(640\) | 3.74189e8 | + | 1.15422e8i | 1.42742 | + | 0.440300i | ||||
\(641\) | −1.56362e8 | + | 1.24694e8i | −0.593686 | + | 0.473449i | −0.873645 | − | 0.486563i | \(-0.838250\pi\) |
0.279960 | + | 0.960012i | \(0.409679\pi\) | |||||||
\(642\) | 3.26066e7 | − | 4.35105e8i | 0.123225 | − | 1.64433i | ||||
\(643\) | 3.46249e8 | + | 1.66745e8i | 1.30243 | + | 0.627219i | 0.951057 | − | 0.309015i | \(-0.0999992\pi\) |
0.351377 | + | 0.936234i | \(0.385713\pi\) | |||||||
\(644\) | 3.34841e7i | 0.125366i | ||||||||
\(645\) | −3.29306e8 | − | 4.48469e8i | −1.22721 | − | 1.67130i | ||||
\(646\) | −8.23734e7 | −0.305555 | ||||||||
\(647\) | 2.05202e8 | − | 4.26106e8i | 0.757650 | − | 1.57328i | −0.0604312 | − | 0.998172i | \(-0.519248\pi\) |
0.818081 | − | 0.575103i | \(-0.195038\pi\) | |||||||
\(648\) | −1.42675e8 | − | 1.06920e7i | −0.524352 | − | 0.0392948i | ||||
\(649\) | −2.17255e8 | − | 2.72429e8i | −0.794760 | − | 0.996598i | ||||
\(650\) | 3.02589e8 | − | 9.80970e8i | 1.10183 | − | 3.57203i | ||||
\(651\) | −6.93975e7 | + | 1.20200e8i | −0.251537 | + | 0.435674i | ||||
\(652\) | 1.18491e8 | − | 6.84110e7i | 0.427507 | − | 0.246822i | ||||
\(653\) | 3.46982e7 | − | 7.91964e6i | 0.124614 | − | 0.0284424i | −0.159759 | − | 0.987156i | \(-0.551072\pi\) |
0.284373 | + | 0.958714i | \(0.408215\pi\) | |||||||
\(654\) | 2.66186e8 | + | 4.01210e7i | 0.951593 | + | 0.143430i | ||||
\(655\) | 3.61583e8 | + | 3.35500e8i | 1.28672 | + | 1.19390i | ||||
\(656\) | −1.17076e8 | + | 1.46809e8i | −0.414721 | + | 0.520044i | ||||
\(657\) | 4.58752e7 | + | 6.72865e7i | 0.161764 | + | 0.237264i | ||||
\(658\) | −5.46254e8 | + | 5.06850e8i | −1.91742 | + | 1.77910i | ||||
\(659\) | −2.52702e7 | − | 3.37207e8i | −0.0882983 | − | 1.17826i | −0.848725 | − | 0.528835i | \(-0.822629\pi\) |
0.760426 | − | 0.649424i | \(-0.224990\pi\) | |||||||
\(660\) | 1.89616e8 | − | 4.83134e8i | 0.659543 | − | 1.68049i | ||||
\(661\) | 1.16767e8 | − | 5.11589e8i | 0.404310 | − | 1.77140i | −0.205301 | − | 0.978699i | \(-0.565817\pi\) |
0.609611 | − | 0.792700i | \(-0.291326\pi\) | |||||||
\(662\) | −2.89233e8 | + | 8.92166e7i | −0.996952 | + | 0.307519i | ||||
\(663\) | 6.31745e7 | − | 9.26600e7i | 0.216771 | − | 0.317945i | ||||
\(664\) | 1.18331e7 | + | 7.85074e7i | 0.0404198 | + | 0.268168i | ||||
\(665\) | −7.69080e8 | + | 3.01842e8i | −2.61521 | + | 1.02639i | ||||
\(666\) | −1.68965e7 | + | 8.13692e6i | −0.0571971 | + | 0.0275447i | ||||
\(667\) | −5.09198e6 | − | 1.05736e7i | −0.0171597 | − | 0.0356325i | ||||
\(668\) | −9.04324e7 | − | 2.30418e8i | −0.303386 | − | 0.773014i | ||||
\(669\) | −3.63660e8 | + | 5.48129e7i | −1.21456 | + | 0.183065i | ||||
\(670\) | −6.06896e8 | − | 4.13774e8i | −2.01785 | − | 1.37575i | ||||
\(671\) | 1.32043e8 | + | 4.28072e8i | 0.437066 | + | 1.41693i | ||||
\(672\) | −6.76395e8 | − | 1.54383e8i | −2.22891 | − | 0.508734i | ||||
\(673\) | −2.74718e7 | − | 1.07819e7i | −0.0901242 | − | 0.0353711i | 0.319851 | − | 0.947468i | \(-0.396367\pi\) |
−0.409975 | + | 0.912097i | \(0.634463\pi\) | |||||||
\(674\) | 3.15368e7 | − | 2.36336e6i | 0.103000 | − | 0.00771880i | ||||
\(675\) | 3.87633e8 | + | 4.17769e8i | 1.26040 | + | 1.35839i | ||||
\(676\) | −9.61783e7 | + | 6.55732e7i | −0.311341 | + | 0.212269i | ||||
\(677\) | 2.44249e8 | + | 1.94782e8i | 0.787168 | + | 0.627745i | 0.932308 | − | 0.361666i | \(-0.117792\pi\) |
−0.145140 | + | 0.989411i | \(0.546363\pi\) | |||||||
\(678\) | −2.35337e8 | + | 2.53633e8i | −0.755095 | + | 0.813799i | ||||
\(679\) | 2.24911e7 | − | 1.49219e8i | 0.0718459 | − | 0.476666i | ||||
\(680\) | −1.49487e7 | − | 6.54943e7i | −0.0475418 | − | 0.208294i | ||||
\(681\) | 1.03113e8 | + | 1.78598e8i | 0.326493 | + | 0.565502i | ||||
\(682\) | 1.17027e8 | + | 6.75658e7i | 0.368922 | + | 0.212997i | ||||
\(683\) | 5.40225e8 | + | 1.66637e8i | 1.69556 | + | 0.523010i | 0.983777 | − | 0.179393i | \(-0.0574134\pi\) |
0.711779 | + | 0.702403i | \(0.247890\pi\) | |||||||
\(684\) | 4.32595e7 | − | 3.44983e7i | 0.135180 | − | 0.107803i | ||||
\(685\) | 3.93271e7 | − | 5.24783e8i | 0.122354 | − | 1.63271i | ||||
\(686\) | −7.15651e8 | − | 3.44639e8i | −2.21681 | − | 1.06756i | ||||
\(687\) | 5.19537e8i | 1.60231i | ||||||||
\(688\) | 2.81069e8 | + | 2.82437e8i | 0.863073 | + | 0.867275i | ||||
\(689\) | −5.45067e7 | −0.166645 | ||||||||
\(690\) | 4.10397e7 | − | 8.52199e7i | 0.124927 | − | 0.259414i | ||||
\(691\) | 4.84417e7 | + | 3.63020e6i | 0.146820 | + | 0.0110026i | 0.147937 | − | 0.988997i | \(-0.452737\pi\) |
−0.00111739 | + | 0.999999i | \(0.500356\pi\) | |||||||
\(692\) | −1.65765e8 | − | 2.07863e8i | −0.500236 | − | 0.627277i | ||||
\(693\) | 6.72613e7 | − | 2.18056e8i | 0.202100 | − | 0.655191i | ||||
\(694\) | −5.08647e7 | + | 8.81002e7i | −0.152173 | + | 0.263571i | ||||
\(695\) | −8.05561e8 | + | 4.65091e8i | −2.39963 | + | 1.38543i | ||||
\(696\) | 5.98013e7 | − | 1.36492e7i | 0.177371 | − | 0.0404838i | ||||
\(697\) | 4.91057e7 | + | 7.40149e6i | 0.145022 | + | 0.0218585i | ||||
\(698\) | 1.91012e8 | + | 1.77233e8i | 0.561686 | + | 0.521168i | ||||
\(699\) | 1.30841e8 | − | 1.64069e8i | 0.383100 | − | 0.480392i | ||||
\(700\) | 5.20635e8 | + | 7.63631e8i | 1.51789 | + | 2.22633i | ||||
\(701\) | 1.38013e8 | − | 1.28057e8i | 0.400651 | − | 0.371749i | −0.453957 | − | 0.891024i | \(-0.649988\pi\) |
0.854608 | + | 0.519274i | \(0.173798\pi\) | |||||||
\(702\) | −3.34251e7 | − | 4.46027e8i | −0.0966188 | − | 1.28929i | ||||
\(703\) | 1.84791e7 | − | 4.70841e7i | 0.0531883 | − | 0.135522i | ||||
\(704\) | −2.54916e7 | + | 1.11686e8i | −0.0730599 | + | 0.320097i | ||||
\(705\) | 8.01677e8 | − | 2.47285e8i | 2.28787 | − | 0.705716i | ||||
\(706\) | −2.72564e8 | + | 3.99779e8i | −0.774560 | + | 1.13607i | ||||
\(707\) | −5.86032e7 | − | 3.88807e8i | −0.165830 | − | 1.10021i | ||||
\(708\) | −2.41879e8 | + | 9.49306e7i | −0.681551 | + | 0.267489i | ||||
\(709\) | 3.58029e8 | − | 1.72418e8i | 1.00457 | − | 0.483774i | 0.142081 | − | 0.989855i | \(-0.454621\pi\) |
0.862486 | + | 0.506081i | \(0.168906\pi\) | |||||||
\(710\) | 4.23588e8 | + | 8.79591e8i | 1.18350 | + | 2.45757i | ||||
\(711\) | −1.80061e7 | − | 4.58788e7i | −0.0500970 | − | 0.127645i | ||||
\(712\) | −2.88690e8 | + | 4.35130e7i | −0.799819 | + | 0.120553i | ||||
\(713\) | 8.10962e6 | + | 5.52904e6i | 0.0223734 | + | 0.0152539i | ||||
\(714\) | 7.46708e7 | + | 2.42077e8i | 0.205143 | + | 0.665057i | ||||
\(715\) | −1.06767e9 | − | 2.43688e8i | −2.92091 | − | 0.666678i | ||||
\(716\) | −1.77664e8 | − | 6.97279e7i | −0.484016 | − | 0.189962i | ||||
\(717\) | −1.13746e8 | + | 8.52409e6i | −0.308588 | + | 0.0231255i | ||||
\(718\) | −1.71456e7 | − | 1.84786e7i | −0.0463213 | − | 0.0499225i | ||||
\(719\) | 1.53952e8 | − | 1.04962e8i | 0.414188 | − | 0.282389i | −0.338244 | − | 0.941058i | \(-0.609833\pi\) |
0.752432 | + | 0.658670i | \(0.228881\pi\) | |||||||
\(720\) | 1.93099e8 | + | 1.53992e8i | 0.517349 | + | 0.412572i | ||||
\(721\) | 7.30918e8 | − | 7.87743e8i | 1.95013 | − | 2.10174i | ||||
\(722\) | 1.65233e7 | − | 1.09625e8i | 0.0439021 | − | 0.291271i | ||||
\(723\) | 1.11616e8 | + | 4.89023e8i | 0.295333 | + | 1.29394i | ||||
\(724\) | −7.14921e7 | − | 1.23828e8i | −0.188383 | − | 0.326289i | ||||
\(725\) | −2.80533e8 | − | 1.61966e8i | −0.736156 | − | 0.425020i | ||||
\(726\) | −3.90021e8 | − | 1.20305e8i | −1.01924 | − | 0.314395i | ||||
\(727\) | −7.77502e7 | + | 6.20037e7i | −0.202348 | + | 0.161367i | −0.719421 | − | 0.694574i | \(-0.755593\pi\) |
0.517073 | + | 0.855941i | \(0.327021\pi\) | |||||||
\(728\) | −2.75959e7 | + | 3.68242e8i | −0.0715238 | + | 0.954419i | ||||
\(729\) | 1.92916e8 | + | 9.29034e7i | 0.497950 | + | 0.239800i | ||||
\(730\) | 8.82845e8i | 2.26943i | ||||||||
\(731\) | 2.75213e7 | − | 1.01722e8i | 0.0704559 | − | 0.260414i | ||||
\(732\) | 3.34056e8 | 0.851699 | ||||||||
\(733\) | −1.00653e8 | + | 2.09008e8i | −0.255572 | + | 0.530702i | −0.988794 | − | 0.149288i | \(-0.952302\pi\) |
0.733221 | + | 0.679990i | \(0.238016\pi\) | |||||||
\(734\) | −6.20245e8 | − | 4.64810e7i | −1.56847 | − | 0.117540i | ||||
\(735\) | 1.07089e9 | + | 1.34285e9i | 2.69701 | + | 3.38194i | ||||
\(736\) | −1.44614e7 | + | 4.68827e7i | −0.0362724 | + | 0.117592i | ||||
\(737\) | −2.73589e8 | + | 4.73870e8i | −0.683433 | + | 1.18374i | ||||
\(738\) | −7.24832e7 | + | 4.18482e7i | −0.180330 | + | 0.104114i | ||||
\(739\) | −1.92920e8 | + | 4.40326e7i | −0.478017 | + | 0.109104i | −0.454739 | − | 0.890625i | \(-0.650267\pi\) |
−0.0232779 | + | 0.999729i | \(0.507410\pi\) | |||||||
\(740\) | −8.01225e7 | − | 1.20765e7i | −0.197724 | − | 0.0298021i | ||||
\(741\) | −3.73694e8 | − | 3.46737e8i | −0.918461 | − | 0.852208i | ||||
\(742\) | 7.67683e7 | − | 9.62645e7i | 0.187919 | − | 0.235643i | ||||
\(743\) | 3.07659e7 | + | 4.51252e7i | 0.0750071 | + | 0.110015i | 0.861909 | − | 0.507063i | \(-0.169269\pi\) |
−0.786902 | + | 0.617078i | \(0.788316\pi\) | |||||||
\(744\) | −3.76057e7 | + | 3.48930e7i | −0.0913134 | + | 0.0847265i | ||||
\(745\) | −8.12860e6 | − | 1.08469e8i | −0.0196583 | − | 0.262322i | ||||
\(746\) | 1.63905e6 | − | 4.17623e6i | 0.00394798 | − | 0.0100593i | ||||
\(747\) | −1.71778e7 | + | 7.52608e7i | −0.0412103 | + | 0.180554i | ||||
\(748\) | 9.39333e7 | − | 2.89746e7i | 0.224448 | − | 0.0692329i | ||||
\(749\) | 4.66915e8 | − | 6.84839e8i | 1.11120 | − | 1.62983i | ||||
\(750\) | −2.21007e8 | − | 1.46629e9i | −0.523869 | − | 3.47564i | ||||
\(751\) | −2.27052e8 | + | 8.91114e7i | −0.536050 | + | 0.210384i | −0.617895 | − | 0.786261i | \(-0.712014\pi\) |
0.0818443 | + | 0.996645i | \(0.473919\pi\) | |||||||
\(752\) | −5.41319e8 | + | 2.60686e8i | −1.27292 | + | 0.613004i | ||||
\(753\) | −1.93232e8 | − | 4.01250e8i | −0.452579 | − | 0.939790i | ||||
\(754\) | 9.28811e7 | + | 2.36657e8i | 0.216677 | + | 0.552085i | ||||
\(755\) | −1.42753e7 | + | 2.15166e6i | −0.0331700 | + | 0.00499957i | ||||
\(756\) | 3.32713e8 | + | 2.26840e8i | 0.770024 | + | 0.524993i | ||||
\(757\) | −7.58745e7 | − | 2.45979e8i | −0.174907 | − | 0.567036i | −0.999998 | − | 0.00203531i | \(-0.999352\pi\) |
0.825091 | − | 0.565001i | \(-0.191124\pi\) | |||||||
\(758\) | 5.33009e8 | + | 1.21656e8i | 1.22385 | + | 0.279335i | ||||
\(759\) | −6.55906e7 | − | 2.57424e7i | −0.150009 | − | 0.0588741i | ||||
\(760\) | −3.04515e8 | + | 2.28203e7i | −0.693695 | + | 0.0519852i | ||||
\(761\) | −7.40395e7 | − | 7.97956e7i | −0.168000 | − | 0.181061i | 0.643440 | − | 0.765496i | \(-0.277507\pi\) |
−0.811440 | + | 0.584435i | \(0.801316\pi\) | |||||||
\(762\) | 3.30903e7 | − | 2.25606e7i | 0.0747887 | − | 0.0509901i | ||||
\(763\) | 3.99805e8 | + | 3.18834e8i | 0.900068 | + | 0.717780i | ||||
\(764\) | 2.79599e7 | − | 3.01336e7i | 0.0626982 | − | 0.0675726i | ||||
\(765\) | 9.73528e6 | − | 6.45894e7i | 0.0217452 | − | 0.144270i | ||||
\(766\) | −2.92291e7 | − | 1.28061e8i | −0.0650323 | − | 0.284925i | ||||
\(767\) | 2.74135e8 | + | 4.74815e8i | 0.607544 | + | 1.05230i | ||||
\(768\) | −5.84317e8 | − | 3.37356e8i | −1.28993 | − | 0.744740i | ||||
\(769\) | −5.15230e8 | − | 1.58927e8i | −1.13298 | − | 0.349478i | −0.329114 | − | 0.944290i | \(-0.606750\pi\) |
−0.803865 | + | 0.594812i | \(0.797226\pi\) | |||||||
\(770\) | 1.93410e9 | − | 1.54239e9i | 4.23650 | − | 3.37849i | ||||
\(771\) | −3.62853e7 | + | 4.84194e8i | −0.0791713 | + | 1.05647i | ||||
\(772\) | −3.95396e8 | − | 1.90413e8i | −0.859370 | − | 0.413851i | ||||
\(773\) | − | 1.56573e8i | − | 0.338983i | −0.985532 | − | 0.169491i | \(-0.945788\pi\) | ||
0.985532 | − | 0.169491i | \(-0.0542125\pi\) | |||||||
\(774\) | 7.06271e7 | + | 1.62958e8i | 0.152317 | + | 0.351440i | ||||
\(775\) | 2.70916e8 | 0.582008 | ||||||||
\(776\) | 2.42003e7 | − | 5.02524e7i | 0.0517887 | − | 0.107540i | ||||
\(777\) | −1.55121e8 | − | 1.16247e7i | −0.330679 | − | 0.0247810i | ||||
\(778\) | 6.95168e8 | + | 8.71712e8i | 1.47622 | + | 1.85112i | ||||
\(779\) | 6.65373e7 | − | 2.15709e8i | 0.140751 | − | 0.456305i | ||||
\(780\) | −4.08319e8 | + | 7.07230e8i | −0.860431 | + | 1.49031i | ||||
\(781\) | 6.29827e8 | − | 3.63631e8i | 1.32211 | − | 0.763322i | ||||
\(782\) | 1.74656e7 | − | 3.98640e6i | 0.0365227 | − | 0.00833606i | ||||
\(783\) | −1.39560e8 | − | 2.10353e7i | −0.290721 | − | 0.0438191i | ||||
\(784\) | −9.01690e8 | − | 8.36646e8i | −1.87115 | − | 1.73618i | ||||
\(785\) | −1.41463e8 | + | 1.77389e8i | −0.292439 | + | 0.366706i | ||||
\(786\) | −3.87285e8 | − | 5.68043e8i | −0.797560 | − | 1.16981i | ||||
\(787\) | 5.32604e8 | − | 4.94184e8i | 1.09265 | − | 1.01383i | 0.0928123 | − | 0.995684i | \(-0.470414\pi\) |
0.999835 | − | 0.0181453i | \(-0.00577614\pi\) | |||||||
\(788\) | 1.38420e7 | + | 1.84709e8i | 0.0282892 | + | 0.377493i | ||||
\(789\) | −8.74965e7 | + | 2.22938e8i | −0.178139 | + | 0.453892i | ||||
\(790\) | 1.18893e8 | − | 5.20902e8i | 0.241142 | − | 1.05651i | ||||
\(791\) | −6.28071e8 | + | 1.93734e8i | −1.26905 | + | 0.391450i | ||||
\(792\) | 4.75121e7 | − | 6.96874e7i | 0.0956375 | − | 0.140274i | ||||
\(793\) | −1.05055e8 | − | 6.96992e8i | −0.210667 | − | 1.39768i | ||||
\(794\) | −4.65884e8 | + | 1.82846e8i | −0.930715 | + | 0.365279i | ||||
\(795\) | −1.24893e8 | + | 6.01453e7i | −0.248563 | + | 0.119702i | ||||
\(796\) | 8.05925e7 | + | 1.67352e8i | 0.159792 | + | 0.331812i | ||||
\(797\) | 1.52703e8 | + | 3.89082e8i | 0.301629 | + | 0.768539i | 0.998673 | + | 0.0515096i | \(0.0164033\pi\) |
−0.697043 | + | 0.717029i | \(0.745501\pi\) | |||||||
\(798\) | 1.13869e9 | − | 1.71630e8i | 2.24077 | − | 0.337741i | ||||
\(799\) | 1.31287e8 | + | 8.95097e7i | 0.257383 | + | 0.175481i | ||||
\(800\) | 3.99162e8 | + | 1.29405e9i | 0.779613 | + | 2.52744i | ||||
\(801\) | −2.76751e8 | − | 6.31667e7i | −0.538508 | − | 0.122911i | ||||
\(802\) | −321689. | − | 126254.i | −0.000623610 | − | 0.000244749i | ||||
\(803\) | 6.55826e8 | − | 4.91473e7i | 1.26661 | − | 0.0949191i | ||||
\(804\) | 2.77533e8 | + | 2.99109e8i | 0.534006 | + | 0.575522i | ||||
\(805\) | 1.48460e8 | − | 1.01218e8i | 0.284591 | − | 0.194031i | ||||
\(806\) | −1.66235e8 | − | 1.32568e8i | −0.317481 | − | 0.253183i | ||||
\(807\) | 4.85894e8 | − | 5.23669e8i | 0.924530 | − | 0.996406i | ||||
\(808\) | 2.16604e7 | − | 1.43707e8i | 0.0410612 | − | 0.272424i | ||||
\(809\) | 8.33403e7 | + | 3.65138e8i | 0.157402 | + | 0.689622i | 0.990616 | + | 0.136672i | \(0.0436407\pi\) |
−0.833215 | + | 0.552950i | \(0.813502\pi\) | |||||||
\(810\) | −7.54057e8 | − | 1.30606e9i | −1.41889 | − | 2.45759i | ||||
\(811\) | −5.39872e8 | − | 3.11695e8i | −1.01211 | − | 0.584342i | −0.100302 | − | 0.994957i | \(-0.531981\pi\) |
−0.911809 | + | 0.410615i | \(0.865314\pi\) | |||||||
\(812\) | −2.18715e8 | − | 6.74647e7i | −0.408518 | − | 0.126011i | ||||
\(813\) | 6.51826e8 | − | 5.19814e8i | 1.21300 | − | 0.967333i | ||||
\(814\) | −1.13179e7 | + | 1.51026e8i | −0.0209841 | + | 0.280014i | ||||
\(815\) | −6.61501e8 | − | 3.18562e8i | −1.22196 | − | 0.588466i | ||||
\(816\) | 2.04255e8i | 0.375926i | ||||||||
\(817\) | −4.38582e8 | − | 1.92620e8i | −0.804238 | − | 0.353213i | ||||
\(818\) | 5.22119e7 | 0.0953915 | ||||||||
\(819\) | −1.55787e8 | + | 3.23495e8i | −0.283582 | + | 0.588864i | ||||
\(820\) | −3.60609e8 | − | 2.70239e7i | −0.654026 | − | 0.0490125i | ||||
\(821\) | 7.22815e7 | + | 9.06381e7i | 0.130616 | + | 0.163788i | 0.842839 | − | 0.538166i | \(-0.180883\pi\) |
−0.712222 | + | 0.701954i | \(0.752311\pi\) | |||||||
\(822\) | −2.16202e8 | + | 7.00911e8i | −0.389265 | + | 1.26196i | ||||
\(823\) | 1.20453e8 | − | 2.08632e8i | 0.216083 | − | 0.374266i | −0.737524 | − | 0.675321i | \(-0.764005\pi\) |
0.953607 | + | 0.301055i | \(0.0973386\pi\) | |||||||
\(824\) | 3.43974e8 | − | 1.98593e8i | 0.614814 | − | 0.354963i | ||||
\(825\) | −1.89611e9 | + | 4.32774e8i | −3.37677 | + | 0.770725i | ||||
\(826\) | −1.22467e9 | − | 1.84589e8i | −2.17310 | − | 0.327541i | ||||
\(827\) | 4.05478e8 | + | 3.76229e8i | 0.716888 | + | 0.665174i | 0.951757 | − | 0.306852i | \(-0.0992758\pi\) |
−0.234870 | + | 0.972027i | \(0.575466\pi\) | |||||||
\(828\) | −7.50275e6 | + | 9.40815e6i | −0.0132169 | + | 0.0165735i | ||||
\(829\) | 2.17757e8 | + | 3.19391e8i | 0.382216 | + | 0.560607i | 0.968347 | − | 0.249609i | \(-0.0803021\pi\) |
−0.586131 | + | 0.810216i | \(0.699350\pi\) | |||||||
\(830\) | −6.13470e8 | + | 5.69217e8i | −1.07290 | + | 0.995505i | ||||
\(831\) | −7.47085e7 | − | 9.96916e8i | −0.130187 | − | 1.73722i | ||||
\(832\) | 6.58534e7 | − | 1.67792e8i | 0.114343 | − | 0.291340i | ||||
\(833\) | −7.23877e7 | + | 3.17151e8i | −0.125236 | + | 0.548695i | ||||
\(834\) | 1.23890e9 | − | 3.82149e8i | 2.13568 | − | 0.658771i | ||||
\(835\) | −7.48249e8 | + | 1.09748e9i | −1.28525 | + | 1.88511i | ||||
\(836\) | −6.65977e7 | − | 4.41847e8i | −0.113983 | − | 0.756229i | ||||
\(837\) | 1.09878e8 | − | 4.31239e7i | 0.187385 | − | 0.0735431i | ||||
\(838\) | 1.15411e9 | − | 5.55790e8i | 1.96117 | − | 0.944449i | ||||
\(839\) | −2.00403e7 | − | 4.16140e7i | −0.0339326 | − | 0.0704618i | 0.883313 | − | 0.468783i | \(-0.155307\pi\) |
−0.917246 | + | 0.398321i | \(0.869593\pi\) | |||||||
\(840\) | 3.43105e8 | + | 8.74216e8i | 0.578880 | + | 1.47496i | ||||
\(841\) | −5.08854e8 | + | 7.66974e7i | −0.855471 | + | 0.128942i | ||||
\(842\) | 3.53108e8 | + | 2.40745e8i | 0.591523 | + | 0.403294i | ||||
\(843\) | −5.69545e7 | − | 1.84642e8i | −0.0950704 | − | 0.308211i | ||||
\(844\) | 4.04389e8 | + | 9.22992e7i | 0.672624 | + | 0.153522i | ||||
\(845\) | 5.81470e8 | + | 2.28210e8i | 0.963734 | + | 0.378238i | ||||
\(846\) | −2.67052e8 | + | 2.00128e7i | −0.441047 | + | 0.0330519i | ||||
\(847\) | −5.27371e8 | − | 5.68370e8i | −0.867892 | − | 0.935365i | ||||
\(848\) | 8.20242e7 | − | 5.59232e7i | 0.134510 | − | 0.0917074i | ||||
\(849\) | 1.07394e9 | + | 8.56440e8i | 1.75492 | + | 1.39950i | ||||
\(850\) | 3.36332e8 | − | 3.62480e8i | 0.547661 | − | 0.590238i | ||||
\(851\) | −1.63952e6 | + | 1.08775e7i | −0.00266028 | + | 0.0176498i | ||||
\(852\) | −1.20678e8 | − | 5.28725e8i | −0.195123 | − | 0.854892i | ||||
\(853\) | −4.41800e7 | − | 7.65220e7i | −0.0711833 | − | 0.123293i | 0.828237 | − | 0.560378i | \(-0.189344\pi\) |
−0.899420 | + | 0.437085i | \(0.856011\pi\) | |||||||
\(854\) | 1.37892e9 | + | 7.96121e8i | 2.21394 | + | 1.27822i | ||||
\(855\) | −2.83725e8 | − | 8.75174e7i | −0.453940 | − | 0.140022i | ||||
\(856\) | 2.39520e8 | − | 1.91010e8i | 0.381874 | − | 0.304534i | ||||
\(857\) | 1.68278e7 | − | 2.24551e8i | 0.0267352 | − | 0.356757i | −0.967752 | − | 0.251903i | \(-0.918944\pi\) |
0.994488 | − | 0.104854i | \(-0.0334374\pi\) | |||||||
\(858\) | 1.37523e9 | + | 6.62277e8i | 2.17728 | + | 1.04852i | ||||
\(859\) | − | 7.72348e8i | − | 1.21852i | −0.792970 | − | 0.609261i | \(-0.791466\pi\) | ||
0.792970 | − | 0.609261i | \(-0.208534\pi\) | |||||||
\(860\) | −1.44492e8 | + | 7.53634e8i | −0.227168 | + | 1.18486i | ||||
\(861\) | −6.94235e8 | −1.08767 | ||||||||
\(862\) | 3.42288e8 | − | 7.10768e8i | 0.534404 | − | 1.10970i | ||||
\(863\) | 6.02307e8 | + | 4.51366e7i | 0.937099 | + | 0.0702258i | 0.534516 | − | 0.845158i | \(-0.320494\pi\) |
0.402582 | + | 0.915384i | \(0.368113\pi\) | |||||||
\(864\) | 3.67877e8 | + | 4.61304e8i | 0.570377 | + | 0.715230i | ||||
\(865\) | −4.20524e8 | + | 1.36331e9i | −0.649744 | + | 2.10642i | ||||
\(866\) | −6.85145e8 | + | 1.18671e9i | −1.05494 | + | 1.82721i | ||||
\(867\) | −5.96004e8 | + | 3.44103e8i | −0.914518 | + | 0.527997i | ||||
\(868\) | 1.86625e8 | − | 4.25958e7i | 0.285371 | − | 0.0651340i | ||||
\(869\) | −3.93573e8 | − | 5.93216e7i | −0.599745 | − | 0.0903970i | ||||
\(870\) | 4.73961e8 | + | 4.39771e8i | 0.719755 | + | 0.667835i | ||||
\(871\) | 5.36798e8 | − | 6.73124e8i | 0.812375 | − | 1.01869i | ||||
\(872\) | 1.06472e8 | + | 1.56166e8i | 0.160578 | + | 0.235525i | ||||
\(873\) | 3.97548e7 | − | 3.68870e7i | 0.0597512 | − | 0.0554410i | ||||
\(874\) | −6.08555e6 | − | 8.12060e7i | −0.00911518 | − | 0.121634i | ||||
\(875\) | 1.02913e9 | − | 2.62217e9i | 1.53619 | − | 3.91414i | ||||
\(876\) | 1.09129e8 | − | 4.78127e8i | 0.162342 | − | 0.711265i | ||||
\(877\) | −1.00764e9 | + | 3.10815e8i | −1.49385 | + | 0.460791i | −0.930767 | − | 0.365612i | \(-0.880860\pi\) |
−0.563080 | + | 0.826403i | \(0.690384\pi\) | |||||||
\(878\) | −8.64789e8 | + | 1.26841e9i | −1.27769 | + | 1.87403i | ||||
\(879\) | −5.01227e7 | − | 3.32543e8i | −0.0738020 | − | 0.489644i | ||||
\(880\) | 1.85669e9 | − | 7.28699e8i | 2.72454 | − | 1.06930i | ||||
\(881\) | −3.36042e8 | + | 1.61829e8i | −0.491434 | + | 0.236662i | −0.663153 | − | 0.748484i | \(-0.730782\pi\) |
0.171719 | + | 0.985146i | \(0.445068\pi\) | |||||||
\(882\) | −2.37884e8 | − | 4.93971e8i | −0.346704 | − | 0.719938i | ||||
\(883\) | −4.02343e8 | − | 1.02515e9i | −0.584405 | − | 1.48904i | −0.850965 | − | 0.525222i | \(-0.823982\pi\) |
0.266560 | − | 0.963818i | \(-0.414113\pi\) | |||||||
\(884\) | −1.52944e8 | + | 2.30525e7i | −0.221398 | + | 0.0333704i | ||||
\(885\) | 1.15207e9 | + | 7.85467e8i | 1.66207 | + | 1.13318i | ||||
\(886\) | 2.71062e8 | + | 8.78761e8i | 0.389733 | + | 1.26348i | ||||
\(887\) | −6.61470e8 | − | 1.50976e8i | −0.947849 | − | 0.216340i | −0.279464 | − | 0.960156i | \(-0.590157\pi\) |
−0.668385 | + | 0.743816i | \(0.733014\pi\) | |||||||
\(888\) | −5.35207e7 | − | 2.10053e7i | −0.0764333 | − | 0.0299979i | ||||
\(889\) | 7.58669e7 | − | 5.68544e6i | 0.107981 | − | 0.00809205i | ||||
\(890\) | −2.09314e9 | − | 2.25587e9i | −2.96913 | − | 3.19996i | ||||
\(891\) | −9.28238e8 | + | 6.32862e8i | −1.31228 | + | 0.894697i | ||||
\(892\) | 3.96560e8 | + | 3.16246e8i | 0.558746 | + | 0.445585i | ||||
\(893\) | 4.91279e8 | − | 5.29473e8i | 0.689881 | − | 0.743514i | ||||
\(894\) | −2.25961e7 | + | 1.49915e8i | −0.0316242 | + | 0.209813i | ||||
\(895\) | 2.27900e8 | + | 9.98495e8i | 0.317889 | + | 1.39276i | ||||
\(896\) | −5.18409e8 | − | 8.97911e8i | −0.720690 | − | 1.24827i | ||||
\(897\) | 9.60141e7 | + | 5.54337e7i | 0.133032 | + | 0.0768063i | ||||
\(898\) | −9.68519e8 | − | 2.98748e8i | −1.33745 | − | 0.412550i | ||||
\(899\) | −5.24547e7 | + | 4.18312e7i | −0.0721947 | + | 0.0575734i | ||||
\(900\) | −2.48214e7 | + | 3.31218e8i | −0.0340485 | + | 0.454346i | ||||
\(901\) | −2.36547e7 | − | 1.13915e7i | −0.0323402 | − | 0.0155742i | ||||
\(902\) | 6.75910e8i | 0.921021i | ||||||||
\(903\) | −1.68497e8 | + | 1.46350e9i | −0.228838 | + | 1.98761i | ||||
\(904\) | −2.42935e8 | −0.328840 | ||||||||
\(905\) | −3.32910e8 | + | 6.91294e8i | −0.449139 | + | 0.932647i | ||||
\(906\) | 2.00656e7 | + | 1.50371e6i | 0.0269815 | + | 0.00202199i | ||||
\(907\) | 4.34197e8 | + | 5.44466e8i | 0.581922 | + | 0.729708i | 0.982439 | − | 0.186582i | \(-0.0597409\pi\) |
−0.400517 | + | 0.916289i | \(0.631169\pi\) | |||||||
\(908\) | 8.38357e7 | − | 2.71789e8i | 0.111988 | − | 0.363056i | ||||
\(909\) | 7.06536e7 | − | 1.22376e8i | 0.0940682 | − | 0.162931i | ||||
\(910\) | −3.37093e9 | + | 1.94621e9i | −4.47328 | + | 2.58265i | ||||
\(911\) | 4.82006e8 | − | 1.10015e8i | 0.637525 | − | 0.145511i | 0.108472 | − | 0.994100i | \(-0.465404\pi\) |
0.529053 | + | 0.848589i | \(0.322547\pi\) | |||||||
\(912\) | 9.18098e8 | + | 1.38381e8i | 1.21033 | + | 0.182428i | ||||
\(913\) | 4.56997e8 | + | 4.24031e8i | 0.600483 | + | 0.557167i | ||||
\(914\) | 4.99486e7 | − | 6.26335e7i | 0.0654161 | − | 0.0820292i | ||||
\(915\) | −1.00981e9 | − | 1.48112e9i | −1.31819 | − | 1.93342i | ||||
\(916\) | 5.25259e8 | − | 4.87370e8i | 0.683420 | − | 0.634121i | ||||
\(917\) | −9.75987e7 | − | 1.30236e9i | −0.126572 | − | 1.68898i | ||||
\(918\) | 7.87107e7 | − | 2.00552e8i | 0.101743 | − | 0.259238i | ||||
\(919\) | 2.68605e8 | − | 1.17684e9i | 0.346073 | − | 1.51625i | −0.439934 | − | 0.898030i | \(-0.644998\pi\) |
0.786008 | − | 0.618217i | \(-0.212145\pi\) | |||||||
\(920\) | 6.34618e7 | − | 1.95754e7i | 0.0814984 | − | 0.0251389i | ||||
\(921\) | −3.05815e8 | + | 4.48549e8i | −0.391454 | + | 0.574157i | ||||
\(922\) | 4.97146e7 | + | 3.29835e8i | 0.0634294 | + | 0.420827i | ||||
\(923\) | −1.06521e9 | + | 4.18064e8i | −1.35466 | + | 0.531664i | ||||
\(924\) | −1.23812e9 | + | 5.96247e8i | −1.56945 | + | 0.755806i | ||||
\(925\) | 1.31741e8 | + | 2.73562e8i | 0.166454 | + | 0.345645i | ||||
\(926\) | −2.01083e7 | − | 5.12351e7i | −0.0253246 | − | 0.0645259i | ||||
\(927\) | 3.81878e8 | − | 5.75588e7i | 0.479386 | − | 0.0722557i | ||||
\(928\) | −2.77096e8 | − | 1.88921e8i | −0.346726 | − | 0.236394i | ||||
\(929\) | 3.90121e8 | + | 1.26474e9i | 0.486578 | + | 1.57745i | 0.782766 | + | 0.622317i | \(0.213808\pi\) |
−0.296188 | + | 0.955130i | \(0.595715\pi\) | |||||||
\(930\) | −5.27183e8 | − | 1.20326e8i | −0.655409 | − | 0.149593i | ||||
\(931\) | 1.37651e9 | + | 5.40240e8i | 1.70581 | + | 0.669480i | ||||
\(932\) | −2.88616e8 | + | 2.16288e7i | −0.356510 | + | 0.0267168i | ||||
\(933\) | 8.42515e8 | + | 9.08015e8i | 1.03737 | + | 1.11802i | ||||
\(934\) | 1.60111e9 | − | 1.09162e9i | 1.96509 | − | 1.33977i | ||||
\(935\) | −4.12415e8 | − | 3.28890e8i | −0.504544 | − | 0.402361i | ||||
\(936\) | −9.02654e7 | + | 9.72829e7i | −0.110076 | + | 0.118634i | ||||
\(937\) | −1.52424e8 | + | 1.01127e9i | −0.185283 | + | 1.22927i | 0.681962 | + | 0.731388i | \(0.261127\pi\) |
−0.867245 | + | 0.497882i | \(0.834111\pi\) | |||||||
\(938\) | 4.32768e8 | + | 1.89608e9i | 0.524381 | + | 2.29746i | ||||
\(939\) | −2.57338e7 | − | 4.45723e7i | −0.0310819 | − | 0.0538355i | ||||
\(940\) | −1.00205e9 | − | 5.78533e8i | −1.20644 | − | 0.696538i | ||||
\(941\) | −2.53295e8 | − | 7.81311e7i | −0.303989 | − | 0.0937681i | 0.139008 | − | 0.990291i | \(-0.455609\pi\) |
−0.442997 | + | 0.896523i | \(0.646085\pi\) | |||||||
\(942\) | 2.47247e8 | − | 1.97173e8i | 0.295786 | − | 0.235882i | ||||
\(943\) | −3.66879e6 | + | 4.89566e7i | −0.00437509 | + | 0.0583816i | ||||
\(944\) | −8.99685e8 | − | 4.33265e8i | −1.06948 | − | 0.515036i | ||||
\(945\) | − | 2.16087e9i | − | 2.56055i | ||||||
\(946\) | 1.42487e9 | + | 1.64050e8i | 1.68307 | + | 0.193777i | ||||
\(947\) | −1.24430e8 | −0.146512 | −0.0732562 | − | 0.997313i | \(-0.523339\pi\) | ||||
−0.0732562 | + | 0.997313i | \(0.523339\pi\) | |||||||
\(948\) | −1.28779e8 | + | 2.67412e8i | −0.151154 | + | 0.313874i | ||||
\(949\) | −1.03191e9 | − | 7.73309e7i | −1.20738 | − | 0.0904804i | ||||
\(950\) | −1.40143e9 | − | 1.75734e9i | −1.63456 | − | 2.04968i | ||||
\(951\) | 1.39721e8 | − | 4.52964e8i | 0.162450 | − | 0.526650i | ||||
\(952\) | −8.89359e7 | + | 1.54042e8i | −0.103078 | + | 0.178536i | ||||
\(953\) | −9.89512e8 | + | 5.71295e8i | −1.14325 | + | 0.660057i | −0.947234 | − | 0.320543i | \(-0.896135\pi\) |
−0.196019 | + | 0.980600i | \(0.562801\pi\) | |||||||
\(954\) | 4.31398e7 | − | 9.84637e6i | 0.0496858 | − | 0.0113405i | ||||
\(955\) | −2.18124e8 | − | 3.28769e7i | −0.250434 | − | 0.0377468i | ||||
\(956\) | 1.15321e8 | + | 1.07002e8i | 0.131988 | + | 0.122467i | ||||
\(957\) | 3.00301e8 | − | 3.76566e8i | 0.342627 | − | 0.429640i | ||||
\(958\) | −5.79213e8 | − | 8.49550e8i | −0.658782 | − | 0.966256i | ||||
\(959\) | −1.02143e9 | + | 9.47744e8i | −1.15811 | + | 1.07457i | ||||
\(960\) | −3.42574e7 | − | 4.57133e8i | −0.0387204 | − | 0.516688i | ||||
\(961\) | −3.03742e8 | + | 7.73921e8i | −0.342243 | + | 0.872020i | ||||
\(962\) | 5.30265e7 | − | 2.32324e8i | 0.0595618 | − | 0.260957i | ||||
\(963\) | 2.84642e8 | − | 8.78005e7i | 0.318728 | − | 0.0983146i | ||||
\(964\) | 3.89703e8 | − | 5.71590e8i | 0.435014 | − | 0.638048i | ||||
\(965\) | 3.50992e8 | + | 2.32868e9i | 0.390584 | + | 2.59136i | ||||
\(966\) | −2.33130e8 | + | 9.14967e7i | −0.258623 | + | 0.101502i | ||||
\(967\) | 9.71595e8 | − | 4.67896e8i | 1.07450 | − | 0.517451i | 0.188945 | − | 0.981988i | \(-0.439493\pi\) |
0.885554 | + | 0.464536i | \(0.153779\pi\) | |||||||
\(968\) | −1.24341e8 | − | 2.58197e8i | −0.137085 | − | 0.284659i | ||||
\(969\) | −8.97092e7 | − | 2.28575e8i | −0.0985974 | − | 0.251222i | ||||
\(970\) | 5.81351e8 | − | 8.76246e7i | 0.636976 | − | 0.0960087i | ||||
\(971\) | −9.31579e8 | − | 6.35140e8i | −1.01756 | − | 0.693764i | −0.0649329 | − | 0.997890i | \(-0.520683\pi\) |
−0.952632 | + | 0.304126i | \(0.901636\pi\) | |||||||
\(972\) | 1.03337e8 | + | 3.35010e8i | 0.112527 | + | 0.364804i | ||||
\(973\) | 2.40113e9 | + | 5.48043e8i | 2.60662 | + | 0.594944i | ||||
\(974\) | 1.72348e9 | + | 6.76416e8i | 1.86522 | + | 0.732044i | ||||
\(975\) | 3.05160e9 | − | 2.28686e8i | 3.29241 | − | 0.246732i | ||||
\(976\) | 8.73196e8 | + | 9.41081e8i | 0.939209 | + | 1.01223i | ||||
\(977\) | −2.84636e8 | + | 1.94061e8i | −0.305215 | + | 0.208092i | −0.706235 | − | 0.707977i | \(-0.749608\pi\) |
0.401020 | + | 0.916069i | \(0.368656\pi\) | |||||||
\(978\) | 8.00087e8 | + | 6.38048e8i | 0.855304 | + | 0.682082i | ||||
\(979\) | −1.55926e9 | + | 1.68048e9i | −1.66177 | + | 1.79096i | ||||
\(980\) | 3.53058e8 | − | 2.34239e9i | 0.375118 | − | 2.48875i | ||||
\(981\) | 4.08939e7 | + | 1.79168e8i | 0.0433164 | + | 0.189781i | ||||
\(982\) | −1.86930e8 | − | 3.23773e8i | −0.197399 | − | 0.341906i | ||||
\(983\) | −1.50988e9 | − | 8.71731e8i | −1.58958 | − | 0.917745i | −0.993376 | − | 0.114912i | \(-0.963341\pi\) |
−0.596205 | − | 0.802832i | \(-0.703325\pi\) | |||||||
\(984\) | −2.45197e8 | − | 7.56332e7i | −0.257353 | − | 0.0793829i | ||||
\(985\) | 7.77110e8 | − | 6.19724e8i | 0.813156 | − | 0.648470i | ||||
\(986\) | −9.15129e6 | + | 1.22115e8i | −0.00954666 | + | 0.127391i | ||||
\(987\) | −2.00134e9 | − | 9.63796e8i | −2.08147 | − | 1.00238i | ||||
\(988\) | 7.03077e8i | 0.729008i | ||||||||
\(989\) | 1.02314e8 | + | 1.96163e7i | 0.105766 | + | 0.0202781i | ||||
\(990\) | 8.89034e8 | 0.916248 | ||||||||
\(991\) | −4.40214e8 | + | 9.14114e8i | −0.452317 | + | 0.939246i | 0.542736 | + | 0.839903i | \(0.317388\pi\) |
−0.995053 | + | 0.0993431i | \(0.968326\pi\) | |||||||
\(992\) | 2.79698e8 | + | 2.09605e7i | 0.286520 | + | 0.0214717i | ||||
\(993\) | −5.62556e8 | − | 7.05422e8i | −0.574537 | − | 0.720446i | ||||
\(994\) | 7.61918e8 | − | 2.47008e9i | 0.775799 | − | 2.51508i | ||||
\(995\) | 4.98375e8 | − | 8.63211e8i | 0.505926 | − | 0.876290i | ||||
\(996\) | 4.02602e8 | − | 2.32442e8i | 0.407472 | − | 0.235254i | ||||
\(997\) | 1.11982e9 | − | 2.55592e8i | 1.12996 | − | 0.257907i | 0.383635 | − | 0.923485i | \(-0.374672\pi\) |
0.746328 | + | 0.665578i | \(0.231815\pi\) | |||||||
\(998\) | −1.13370e9 | − | 1.70878e8i | −1.14053 | − | 0.171908i | ||||
\(999\) | 9.69765e7 | + | 8.99811e7i | 0.0972680 | + | 0.0902516i |
(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 | 43.7.h.a.3.17 | ✓ | 252 | |
43.29 | odd | 42 | inner | 43.7.h.a.29.17 | yes | 252 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.7.h.a.3.17 | ✓ | 252 | 1.1 | even | 1 | trivial | |
43.7.h.a.29.17 | yes | 252 | 43.29 | odd | 42 | inner |