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 | 12.8 | ||
Character | \(\chi\) | \(=\) | 43.12 |
Dual form | 43.7.h.a.18.8 |
$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{13}{42}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.67452 | − | 5.55371i | −0.334316 | − | 0.694214i | 0.664264 | − | 0.747498i | \(-0.268745\pi\) |
−0.998579 | + | 0.0532847i | \(0.983031\pi\) | |||||||
\(3\) | 24.4389 | + | 35.8453i | 0.905145 | + | 1.32760i | 0.944546 | + | 0.328380i | \(0.106503\pi\) |
−0.0394013 | + | 0.999223i | \(0.512545\pi\) | |||||||
\(4\) | 16.2128 | − | 20.3302i | 0.253324 | − | 0.317659i | ||||
\(5\) | −20.9922 | + | 22.6242i | −0.167937 | + | 0.180993i | −0.811413 | − | 0.584473i | \(-0.801301\pi\) |
0.643476 | + | 0.765466i | \(0.277492\pi\) | |||||||
\(6\) | 133.712 | − | 231.596i | 0.619036 | − | 1.07220i | ||||
\(7\) | 375.666 | − | 216.891i | 1.09524 | − | 0.632336i | 0.160271 | − | 0.987073i | \(-0.448763\pi\) |
0.934966 | + | 0.354737i | \(0.115430\pi\) | |||||||
\(8\) | −540.884 | − | 123.453i | −1.05641 | − | 0.241120i | ||||
\(9\) | −421.291 | + | 1073.43i | −0.577903 | + | 1.47247i | ||||
\(10\) | 181.792 | + | 56.0755i | 0.181792 | + | 0.0560755i | ||||
\(11\) | 1489.70 | + | 1868.02i | 1.11923 | + | 1.40347i | 0.904327 | + | 0.426840i | \(0.140373\pi\) |
0.214907 | + | 0.976635i | \(0.431055\pi\) | |||||||
\(12\) | 1124.96 | + | 84.3042i | 0.651020 | + | 0.0487872i | ||||
\(13\) | 223.335 | − | 68.8897i | 0.101654 | − | 0.0313562i | −0.243511 | − | 0.969898i | \(-0.578299\pi\) |
0.345165 | + | 0.938542i | \(0.387823\pi\) | |||||||
\(14\) | −2209.28 | − | 1506.26i | −0.805131 | − | 0.548929i | ||||
\(15\) | −1324.00 | − | 199.560i | −0.392295 | − | 0.0591290i | ||||
\(16\) | 390.663 | + | 1711.61i | 0.0953767 | + | 0.417873i | ||||
\(17\) | 6.51765 | − | 6.04750i | 0.00132661 | − | 0.00123092i | −0.679509 | − | 0.733667i | \(-0.737807\pi\) |
0.680836 | + | 0.732436i | \(0.261617\pi\) | |||||||
\(18\) | 7088.28 | − | 531.193i | 1.21541 | − | 0.0910825i | ||||
\(19\) | 9248.40 | − | 3629.73i | 1.34836 | − | 0.529192i | 0.422262 | − | 0.906474i | \(-0.361236\pi\) |
0.926099 | + | 0.377282i | \(0.123141\pi\) | |||||||
\(20\) | 119.612 | + | 793.574i | 0.0149515 | + | 0.0991968i | ||||
\(21\) | 16955.4 | + | 8165.29i | 1.83084 | + | 0.881685i | ||||
\(22\) | 6390.22 | − | 13269.4i | 0.600134 | − | 1.24619i | ||||
\(23\) | 849.967 | − | 128.112i | 0.0698584 | − | 0.0105295i | −0.114020 | − | 0.993478i | \(-0.536373\pi\) |
0.183878 | + | 0.982949i | \(0.441135\pi\) | |||||||
\(24\) | −8793.39 | − | 22405.2i | −0.636096 | − | 1.62075i | ||||
\(25\) | 1096.48 | + | 14631.4i | 0.0701744 | + | 0.936413i | ||||
\(26\) | −979.908 | − | 1056.09i | −0.0557526 | − | 0.0600870i | ||||
\(27\) | −17939.6 | + | 4094.60i | −0.911426 | + | 0.208027i | ||||
\(28\) | 1681.16 | − | 11153.8i | 0.0765834 | − | 0.508097i | ||||
\(29\) | −6239.34 | + | 9151.44i | −0.255826 | + | 0.375228i | −0.932569 | − | 0.360991i | \(-0.882438\pi\) |
0.676743 | + | 0.736219i | \(0.263391\pi\) | |||||||
\(30\) | 2432.76 | + | 7886.81i | 0.0901022 | + | 0.292104i | ||||
\(31\) | 2192.93 | − | 29262.6i | 0.0736106 | − | 0.982265i | −0.831068 | − | 0.556170i | \(-0.812270\pi\) |
0.904679 | − | 0.426094i | \(-0.140111\pi\) | |||||||
\(32\) | −19299.4 | + | 15390.8i | −0.588971 | + | 0.469689i | ||||
\(33\) | −30553.2 | + | 99051.2i | −0.850189 | + | 2.75625i | ||||
\(34\) | −51.0177 | − | 20.0230i | −0.00129803 | − | 0.000509438i | ||||
\(35\) | −2979.07 | + | 13052.2i | −0.0694827 | + | 0.304423i | ||||
\(36\) | 14992.7 | + | 25968.2i | 0.321347 | + | 0.556589i | ||||
\(37\) | −50576.6 | − | 29200.4i | −0.998492 | − | 0.576480i | −0.0906903 | − | 0.995879i | \(-0.528907\pi\) |
−0.907802 | + | 0.419399i | \(0.862241\pi\) | |||||||
\(38\) | −44893.5 | − | 41655.1i | −0.818150 | − | 0.759133i | ||||
\(39\) | 7927.43 | + | 6321.91i | 0.133641 | + | 0.106575i | ||||
\(40\) | 14147.3 | − | 9645.50i | 0.221052 | − | 0.150711i | ||||
\(41\) | −32433.9 | + | 15619.4i | −0.470596 | + | 0.226627i | −0.654124 | − | 0.756387i | \(-0.726962\pi\) |
0.183528 | + | 0.983014i | \(0.441248\pi\) | |||||||
\(42\) | − | 116004.i | − | 1.56575i | ||||||
\(43\) | −76240.7 | + | 22554.7i | −0.958919 | + | 0.283682i | ||||
\(44\) | 62129.4 | 0.729355 | ||||||||
\(45\) | −15441.7 | − | 32065.0i | −0.169456 | − | 0.351880i | ||||
\(46\) | −2984.75 | − | 4377.83i | −0.0306645 | − | 0.0449765i | ||||
\(47\) | 101675. | − | 127497.i | 0.979313 | − | 1.22802i | 0.00565971 | − | 0.999984i | \(-0.498198\pi\) |
0.973653 | − | 0.228035i | \(-0.0732301\pi\) | |||||||
\(48\) | −51805.7 | + | 55833.2i | −0.468440 | + | 0.504858i | ||||
\(49\) | 35259.0 | − | 61070.3i | 0.299696 | − | 0.519089i | ||||
\(50\) | 78326.2 | − | 45221.7i | 0.626610 | − | 0.361773i | ||||
\(51\) | 376.059 | + | 85.8329i | 0.00283495 | + | 0.000647058i | ||||
\(52\) | 2220.34 | − | 5657.32i | 0.0157910 | − | 0.0402347i | ||||
\(53\) | −27738.6 | − | 8556.22i | −0.186319 | − | 0.0574717i | 0.200192 | − | 0.979757i | \(-0.435844\pi\) |
−0.386510 | + | 0.922285i | \(0.626320\pi\) | |||||||
\(54\) | 70720.1 | + | 88680.2i | 0.449119 | + | 0.563178i | ||||
\(55\) | −73534.6 | − | 5510.65i | −0.441981 | − | 0.0331219i | ||||
\(56\) | −229968. | + | 70935.7i | −1.30949 | + | 0.403925i | ||||
\(57\) | 356130. | + | 242805.i | 1.92302 | + | 1.31109i | ||||
\(58\) | 67511.7 | + | 10175.8i | 0.346015 | + | 0.0521534i | ||||
\(59\) | −36791.3 | − | 161193.i | −0.179139 | − | 0.784858i | −0.982029 | − | 0.188731i | \(-0.939563\pi\) |
0.802890 | − | 0.596127i | \(-0.203295\pi\) | |||||||
\(60\) | −25522.7 | + | 23681.6i | −0.118161 | + | 0.109637i | ||||
\(61\) | −370513. | + | 27766.1i | −1.63235 | + | 0.122328i | −0.859112 | − | 0.511787i | \(-0.828984\pi\) |
−0.773239 | + | 0.634115i | \(0.781365\pi\) | |||||||
\(62\) | −168381. | + | 66084.8i | −0.706511 | + | 0.277285i | ||||
\(63\) | 74553.0 | + | 494627.i | 0.298156 | + | 1.97813i | ||||
\(64\) | 238325. | + | 114771.i | 0.909139 | + | 0.437818i | ||||
\(65\) | −3129.71 | + | 6498.91i | −0.0113963 | + | 0.0236647i | ||||
\(66\) | 631817. | − | 95231.1i | 2.19765 | − | 0.331243i | ||||
\(67\) | −171597. | − | 437223.i | −0.570540 | − | 1.45371i | −0.866825 | − | 0.498613i | \(-0.833843\pi\) |
0.296284 | − | 0.955100i | \(-0.404252\pi\) | |||||||
\(68\) | −17.2774 | − | 230.551i | −5.49481e−5 | − | 0.000733232i | ||||
\(69\) | 25364.5 | + | 27336.4i | 0.0772109 | + | 0.0832136i | ||||
\(70\) | 80455.5 | − | 18363.4i | 0.234564 | − | 0.0535377i | ||||
\(71\) | −8115.23 | + | 53841.0i | −0.0226739 | + | 0.150431i | −0.997303 | − | 0.0733948i | \(-0.976617\pi\) |
0.974629 | + | 0.223826i | \(0.0718548\pi\) | |||||||
\(72\) | 360388. | − | 528592.i | 0.965546 | − | 1.41620i | ||||
\(73\) | −122309. | − | 396516.i | −0.314405 | − | 1.01928i | −0.965527 | − | 0.260303i | \(-0.916178\pi\) |
0.651122 | − | 0.758973i | \(-0.274299\pi\) | |||||||
\(74\) | −26902.2 | + | 358985.i | −0.0663885 | + | 0.885893i | ||||
\(75\) | −497672. | + | 396880.i | −1.17967 | + | 0.940753i | ||||
\(76\) | 76149.1 | − | 246869.i | 0.173470 | − | 0.562375i | ||||
\(77\) | 964788. | + | 378651.i | 2.11329 | + | 0.829407i | ||||
\(78\) | 13908.0 | − | 60934.7i | 0.0293075 | − | 0.128405i | ||||
\(79\) | −139496. | − | 241614.i | −0.282931 | − | 0.490051i | 0.689174 | − | 0.724596i | \(-0.257973\pi\) |
−0.972105 | + | 0.234545i | \(0.924640\pi\) | |||||||
\(80\) | −46924.6 | − | 27091.9i | −0.0916495 | − | 0.0529139i | ||||
\(81\) | 31038.3 | + | 28799.3i | 0.0584040 | + | 0.0541910i | ||||
\(82\) | 173491. | + | 138354.i | 0.314655 | + | 0.250929i | ||||
\(83\) | −716648. | + | 488602.i | −1.25335 | + | 0.854518i | −0.993797 | − | 0.111211i | \(-0.964527\pi\) |
−0.259551 | + | 0.965729i | \(0.583575\pi\) | |||||||
\(84\) | 440895. | − | 212324.i | 0.743871 | − | 0.358229i | ||||
\(85\) | 274.407i | 0.000446825i | ||||||||
\(86\) | 329170. | + | 363096.i | 0.517517 | + | 0.570855i | ||||
\(87\) | −480519. | −0.729714 | ||||||||
\(88\) | −575141. | − | 1.19429e6i | −0.843969 | − | 1.75252i | ||||
\(89\) | −43381.7 | − | 63629.3i | −0.0615370 | − | 0.0902582i | 0.794237 | − | 0.607608i | \(-0.207871\pi\) |
−0.855774 | + | 0.517350i | \(0.826919\pi\) | |||||||
\(90\) | −136781. | + | 171517.i | −0.187628 | + | 0.235278i | ||||
\(91\) | 68957.8 | − | 74318.9i | 0.0915081 | − | 0.0986222i | ||||
\(92\) | 11175.8 | − | 19357.0i | 0.0143521 | − | 0.0248585i | ||||
\(93\) | 1.10252e6 | − | 636541.i | 1.37069 | − | 0.791366i | ||||
\(94\) | −980012. | − | 223681.i | −1.17991 | − | 0.269306i | ||||
\(95\) | −112024. | + | 285433.i | −0.130660 | + | 0.332915i | ||||
\(96\) | −1.02334e6 | − | 315659.i | −1.15666 | − | 0.356784i | ||||
\(97\) | 1.02821e6 | + | 1.28933e6i | 1.12659 | + | 1.41270i | 0.898453 | + | 0.439069i | \(0.144692\pi\) |
0.228136 | + | 0.973629i | \(0.426737\pi\) | |||||||
\(98\) | −433468. | − | 32483.9i | −0.460552 | − | 0.0345136i | ||||
\(99\) | −2.63279e6 | + | 812110.i | −2.71338 | + | 0.836968i | ||||
\(100\) | 315236. | + | 214925.i | 0.315236 | + | 0.214925i | ||||
\(101\) | −1.65008e6 | − | 248709.i | −1.60155 | − | 0.241394i | −0.713333 | − | 0.700825i | \(-0.752815\pi\) |
−0.888214 | + | 0.459431i | \(0.848053\pi\) | |||||||
\(102\) | −529.087 | − | 2318.08i | −0.000498571 | − | 0.00218438i | ||||
\(103\) | 982166. | − | 911317.i | 0.898821 | − | 0.833984i | −0.0879467 | − | 0.996125i | \(-0.528031\pi\) |
0.986768 | + | 0.162141i | \(0.0518401\pi\) | |||||||
\(104\) | −129303. | + | 9689.91i | −0.114950 | + | 0.00861429i | ||||
\(105\) | −540663. | + | 212195.i | −0.467045 | + | 0.183302i | ||||
\(106\) | 26668.8 | + | 176936.i | 0.0223916 | + | 0.148559i | ||||
\(107\) | 1.45948e6 | + | 702847.i | 1.19137 | + | 0.573732i | 0.921203 | − | 0.389082i | \(-0.127208\pi\) |
0.270164 | + | 0.962814i | \(0.412922\pi\) | |||||||
\(108\) | −207607. | + | 431099.i | −0.164805 | + | 0.342221i | ||||
\(109\) | 432198. | − | 65143.4i | 0.333736 | − | 0.0503026i | 0.0199633 | − | 0.999801i | \(-0.493645\pi\) |
0.313773 | + | 0.949498i | \(0.398407\pi\) | |||||||
\(110\) | 166065. | + | 423128.i | 0.124767 | + | 0.317902i | ||||
\(111\) | −189339. | − | 2.52656e6i | −0.138443 | − | 1.84740i | ||||
\(112\) | 517991. | + | 558262.i | 0.368696 | + | 0.397360i | ||||
\(113\) | 1.21096e6 | − | 276394.i | 0.839258 | − | 0.191555i | 0.218775 | − | 0.975775i | \(-0.429794\pi\) |
0.620483 | + | 0.784220i | \(0.286937\pi\) | |||||||
\(114\) | 395991. | − | 2.62723e6i | 0.267283 | − | 1.77330i | ||||
\(115\) | −14944.2 | + | 21919.2i | −0.00982607 | + | 0.0144122i | ||||
\(116\) | 84893.2 | + | 275217.i | 0.0543875 | + | 0.176320i | ||||
\(117\) | −20140.6 | + | 268757.i | −0.0125752 | + | 0.167804i | ||||
\(118\) | −796822. | + | 635444.i | −0.484970 | + | 0.386751i | ||||
\(119\) | 1136.81 | − | 3685.46i | 0.000674604 | − | 0.00218701i | ||||
\(120\) | 691491. | + | 271390.i | 0.400169 | + | 0.157055i | ||||
\(121\) | −876101. | + | 3.83845e6i | −0.494536 | + | 2.16670i | ||||
\(122\) | 1.14515e6 | + | 1.98346e6i | 0.630642 | + | 1.09230i | ||||
\(123\) | −1.35253e6 | − | 780884.i | −0.726828 | − | 0.419634i | ||||
\(124\) | −559361. | − | 519011.i | −0.293377 | − | 0.272215i | ||||
\(125\) | −731068. | − | 583007.i | −0.374307 | − | 0.298500i | ||||
\(126\) | 2.54762e6 | − | 1.73694e6i | 1.27357 | − | 0.868305i | ||||
\(127\) | 51535.7 | − | 24818.3i | 0.0251592 | − | 0.0121160i | −0.421262 | − | 0.906939i | \(-0.638413\pi\) |
0.446421 | + | 0.894823i | \(0.352698\pi\) | |||||||
\(128\) | − | 50717.5i | − | 0.0241840i | ||||||
\(129\) | −2.67172e6 | − | 2.18166e6i | −1.24458 | − | 1.01629i | ||||
\(130\) | 44463.5 | 0.0202383 | ||||||||
\(131\) | 1.18237e6 | + | 2.45522e6i | 0.525944 | + | 1.09213i | 0.979600 | + | 0.200957i | \(0.0644051\pi\) |
−0.453656 | + | 0.891177i | \(0.649881\pi\) | |||||||
\(132\) | 1.51837e6 | + | 2.22704e6i | 0.660172 | + | 0.968294i | ||||
\(133\) | 2.68706e6 | − | 3.36946e6i | 1.14215 | − | 1.43221i | ||||
\(134\) | −1.96927e6 | + | 2.12237e6i | −0.818447 | + | 0.882076i | ||||
\(135\) | 283954. | − | 491823.i | 0.115411 | − | 0.199898i | ||||
\(136\) | −4271.88 | + | 2466.37i | −0.00169825 | + | 0.000980486i | ||||
\(137\) | −1.07834e6 | − | 246123.i | −0.419365 | − | 0.0957174i | 0.00763078 | − | 0.999971i | \(-0.497571\pi\) |
−0.426996 | + | 0.904254i | \(0.640428\pi\) | |||||||
\(138\) | 83980.5 | − | 213979.i | 0.0319552 | − | 0.0814204i | ||||
\(139\) | 1.04037e6 | + | 320910.i | 0.387384 | + | 0.119492i | 0.482328 | − | 0.875990i | \(-0.339791\pi\) |
−0.0949445 | + | 0.995483i | \(0.530267\pi\) | |||||||
\(140\) | 217053. | + | 272176.i | 0.0791011 | + | 0.0991896i | ||||
\(141\) | 7.05498e6 | + | 528698.i | 2.51674 | + | 0.188604i | ||||
\(142\) | 320722. | − | 98929.5i | 0.112012 | − | 0.0345510i | ||||
\(143\) | 461389. | + | 314570.i | 0.157783 | + | 0.107574i | ||||
\(144\) | −2.00188e6 | − | 301734.i | −0.670424 | − | 0.101050i | ||||
\(145\) | −76066.4 | − | 333269.i | −0.0249510 | − | 0.109318i | ||||
\(146\) | −1.87501e6 | + | 1.73976e6i | −0.602485 | + | 0.559024i | ||||
\(147\) | 3.05077e6 | − | 228624.i | 0.960413 | − | 0.0719730i | ||||
\(148\) | −1.41364e6 | + | 554811.i | −0.436066 | + | 0.171143i | ||||
\(149\) | −176820. | − | 1.17312e6i | −0.0534531 | − | 0.354638i | −0.999529 | − | 0.0306927i | \(-0.990229\pi\) |
0.946076 | − | 0.323945i | \(-0.105009\pi\) | |||||||
\(150\) | 3.53519e6 | + | 1.70246e6i | 1.04746 | + | 0.504432i | ||||
\(151\) | 1.74006e6 | − | 3.61328e6i | 0.505399 | − | 1.04947i | −0.479692 | − | 0.877437i | \(-0.659252\pi\) |
0.985091 | − | 0.172035i | \(-0.0550342\pi\) | |||||||
\(152\) | −5.45041e6 | + | 821517.i | −1.55202 | + | 0.233930i | ||||
\(153\) | 3745.75 | + | 9544.01i | 0.00104584 | + | 0.00266475i | ||||
\(154\) | −477430. | − | 6.37086e6i | −0.130722 | − | 1.74436i | ||||
\(155\) | 616009. | + | 663900.i | 0.165421 | + | 0.178282i | ||||
\(156\) | 257051. | − | 58670.2i | 0.0677088 | − | 0.0154541i | ||||
\(157\) | 240639. | − | 1.59653e6i | 0.0621822 | − | 0.412552i | −0.935985 | − | 0.352039i | \(-0.885488\pi\) |
0.998167 | − | 0.0605128i | \(-0.0192736\pi\) | |||||||
\(158\) | −968769. | + | 1.42092e6i | −0.245612 | + | 0.360246i | ||||
\(159\) | −371200. | − | 1.20340e6i | −0.0923458 | − | 0.299378i | ||||
\(160\) | 56933.0 | − | 759718.i | 0.0138997 | − | 0.185478i | ||||
\(161\) | 291518. | − | 232478.i | 0.0698534 | − | 0.0557062i | ||||
\(162\) | 76930.4 | − | 249402.i | 0.0180948 | − | 0.0586618i | ||||
\(163\) | 910700. | + | 357423.i | 0.210287 | + | 0.0825316i | 0.468147 | − | 0.883651i | \(-0.344922\pi\) |
−0.257859 | + | 0.966182i | \(0.583017\pi\) | |||||||
\(164\) | −208299. | + | 912620.i | −0.0472233 | + | 0.206899i | ||||
\(165\) | −1.59957e6 | − | 2.77054e6i | −0.356084 | − | 0.616755i | ||||
\(166\) | 4.63025e6 | + | 2.67328e6i | 1.01223 | + | 0.584412i | ||||
\(167\) | 2.66283e6 | + | 2.47075e6i | 0.571735 | + | 0.530493i | 0.912190 | − | 0.409768i | \(-0.134390\pi\) |
−0.340455 | + | 0.940261i | \(0.610581\pi\) | |||||||
\(168\) | −8.16287e6 | − | 6.50967e6i | −1.72153 | − | 1.37288i | ||||
\(169\) | −3.94296e6 | + | 2.68827e6i | −0.816888 | + | 0.556945i | ||||
\(170\) | 1523.97 | − | 733.907i | 0.000310192 | − | 0.000149381i | ||||
\(171\) | 1.14567e7i | 2.29124i | ||||||||
\(172\) | −777532. | + | 1.91566e6i | −0.152803 | + | 0.376472i | ||||
\(173\) | −9.15335e6 | −1.76783 | −0.883917 | − | 0.467644i | \(-0.845103\pi\) | ||||
−0.883917 | + | 0.467644i | \(0.845103\pi\) | |||||||
\(174\) | 1.28516e6 | + | 2.66866e6i | 0.243955 | + | 0.506577i | ||||
\(175\) | 3.58534e6 | + | 5.25873e6i | 0.668985 | + | 0.981220i | ||||
\(176\) | −2.61535e6 | + | 3.27955e6i | −0.479725 | + | 0.601556i | ||||
\(177\) | 4.87888e6 | − | 5.25819e6i | 0.879834 | − | 0.948235i | ||||
\(178\) | −237353. | + | 411107.i | −0.0420857 | + | 0.0728946i | ||||
\(179\) | −4.37376e6 | + | 2.52519e6i | −0.762599 | + | 0.440287i | −0.830228 | − | 0.557424i | \(-0.811790\pi\) |
0.0676293 | + | 0.997711i | \(0.478456\pi\) | |||||||
\(180\) | −902239. | − | 205930.i | −0.154705 | − | 0.0353104i | ||||
\(181\) | 75898.5 | − | 193386.i | 0.0127996 | − | 0.0326129i | −0.924331 | − | 0.381591i | \(-0.875376\pi\) |
0.937131 | + | 0.348979i | \(0.113471\pi\) | |||||||
\(182\) | −597175. | − | 184204.i | −0.0990575 | − | 0.0305552i | ||||
\(183\) | −1.00502e7 | − | 1.26026e7i | −1.63992 | − | 2.05639i | ||||
\(184\) | −475549. | − | 35637.5i | −0.0763382 | − | 0.00572076i | ||||
\(185\) | 1.72235e6 | − | 531274.i | 0.272023 | − | 0.0839080i | ||||
\(186\) | −6.48388e6 | − | 4.42064e6i | −1.00762 | − | 0.686983i | ||||
\(187\) | 21006.2 | + | 3166.18i | 0.00321235 | + | 0.000484184i | ||||
\(188\) | −943591. | − | 4.13414e6i | −0.142007 | − | 0.622174i | ||||
\(189\) | −5.85122e6 | + | 5.42914e6i | −0.866685 | + | 0.804166i | ||||
\(190\) | 1.88483e6 | − | 141248.i | 0.274796 | − | 0.0205931i | ||||
\(191\) | −6.04704e6 | + | 2.37329e6i | −0.867846 | + | 0.340605i | −0.757143 | − | 0.653249i | \(-0.773405\pi\) |
−0.110703 | + | 0.993854i | \(0.535310\pi\) | |||||||
\(192\) | 1.71039e6 | + | 1.13477e7i | 0.241653 | + | 1.60326i | ||||
\(193\) | −4.92774e6 | − | 2.37308e6i | −0.685451 | − | 0.330096i | 0.0585407 | − | 0.998285i | \(-0.481355\pi\) |
−0.743991 | + | 0.668189i | \(0.767070\pi\) | |||||||
\(194\) | 4.41060e6 | − | 9.15871e6i | 0.604078 | − | 1.25438i | ||||
\(195\) | −309442. | + | 46640.9i | −0.0417326 | + | 0.00629018i | ||||
\(196\) | −669924. | − | 1.70694e6i | −0.0889728 | − | 0.226699i | ||||
\(197\) | −395934. | − | 5.28338e6i | −0.0517875 | − | 0.691056i | −0.961322 | − | 0.275427i | \(-0.911181\pi\) |
0.909534 | − | 0.415628i | \(-0.136438\pi\) | |||||||
\(198\) | 1.15517e7 | + | 1.24498e7i | 1.48816 | + | 1.60386i | ||||
\(199\) | 8.62755e6 | − | 1.96918e6i | 1.09478 | − | 0.249877i | 0.363256 | − | 0.931689i | \(-0.381665\pi\) |
0.731527 | + | 0.681812i | \(0.238808\pi\) | |||||||
\(200\) | 1.21323e6 | − | 8.04928e6i | 0.151654 | − | 1.00616i | ||||
\(201\) | 1.14787e7 | − | 1.68362e7i | 1.41353 | − | 2.07327i | ||||
\(202\) | 3.03191e6 | + | 9.82922e6i | 0.367843 | + | 1.19252i | ||||
\(203\) | −359047. | + | 4.79115e6i | −0.0429203 | + | 0.572732i | ||||
\(204\) | 7841.94 | − | 6253.74i | 0.000923705 | − | 0.000736630i | ||||
\(205\) | 327483. | − | 1.06168e6i | 0.0380126 | − | 0.123234i | ||||
\(206\) | −7.68801e6 | − | 3.01732e6i | −0.879453 | − | 0.345160i | ||||
\(207\) | −220564. | + | 966354.i | −0.0248670 | + | 0.108950i | ||||
\(208\) | 205161. | + | 355349.i | 0.0227984 | + | 0.0394880i | ||||
\(209\) | 2.05578e7 | + | 1.18690e7i | 2.25184 | + | 1.30010i | ||||
\(210\) | 2.62449e6 | + | 2.43517e6i | 0.283391 | + | 0.262949i | ||||
\(211\) | 2.84702e6 | + | 2.27042e6i | 0.303070 | + | 0.241690i | 0.763202 | − | 0.646160i | \(-0.223626\pi\) |
−0.460132 | + | 0.887851i | \(0.652198\pi\) | |||||||
\(212\) | −623668. | + | 425210.i | −0.0654555 | + | 0.0446268i | ||||
\(213\) | −2.12827e6 | + | 1.02492e6i | −0.220236 | + | 0.106060i | ||||
\(214\) | − | 9.98529e6i | − | 1.01887i | ||||||
\(215\) | 1.09018e6 | − | 2.19836e6i | 0.109694 | − | 0.221199i | ||||
\(216\) | 1.02087e7 | 1.01300 | ||||||||
\(217\) | −5.52300e6 | − | 1.14686e7i | −0.540500 | − | 1.12236i | ||||
\(218\) | −1.51771e6 | − | 2.22607e6i | −0.146494 | − | 0.214867i | ||||
\(219\) | 1.12241e7 | − | 1.40746e7i | 1.06861 | − | 1.34000i | ||||
\(220\) | −1.30423e6 | + | 1.40563e6i | −0.122486 | + | 0.132008i | ||||
\(221\) | 1039.01 | − | 1799.62i | 9.62592e−5 | − | 0.000166726i | ||||
\(222\) | −1.35254e7 | + | 7.80888e6i | −1.23621 | + | 0.713724i | ||||
\(223\) | −860970. | − | 196511.i | −0.0776378 | − | 0.0177203i | 0.183526 | − | 0.983015i | \(-0.441249\pi\) |
−0.261163 | + | 0.965295i | \(0.584106\pi\) | |||||||
\(224\) | −3.91202e6 | + | 9.96766e6i | −0.348062 | + | 0.886848i | ||||
\(225\) | −1.61678e7 | − | 4.98711e6i | −1.41940 | − | 0.437825i | ||||
\(226\) | −4.77376e6 | − | 5.98611e6i | −0.413557 | − | 0.518584i | ||||
\(227\) | 1.56174e7 | + | 1.17036e6i | 1.33515 | + | 0.100056i | 0.723090 | − | 0.690754i | \(-0.242721\pi\) |
0.612062 | + | 0.790810i | \(0.290340\pi\) | |||||||
\(228\) | 1.07101e7 | − | 3.30363e6i | 0.903627 | − | 0.278732i | ||||
\(229\) | −8.62975e6 | − | 5.88366e6i | −0.718608 | − | 0.489938i | 0.147963 | − | 0.988993i | \(-0.452728\pi\) |
−0.866571 | + | 0.499055i | \(0.833681\pi\) | |||||||
\(230\) | 161701. | + | 24372.6i | 0.0132902 | + | 0.00200317i | ||||
\(231\) | 1.00055e7 | + | 4.38369e7i | 0.811713 | + | 3.55635i | ||||
\(232\) | 4.50453e6 | − | 4.17960e6i | 0.360733 | − | 0.334711i | ||||
\(233\) | −2.09982e7 | + | 1.57360e6i | −1.66003 | + | 0.124402i | −0.871433 | − | 0.490515i | \(-0.836809\pi\) |
−0.788592 | + | 0.614916i | \(0.789190\pi\) | |||||||
\(234\) | 1.54647e6 | − | 606943.i | 0.120696 | − | 0.0473697i | ||||
\(235\) | 750124. | + | 4.97675e6i | 0.0578002 | + | 0.383479i | ||||
\(236\) | −3.87357e6 | − | 1.86542e6i | −0.294697 | − | 0.141919i | ||||
\(237\) | 5.25160e6 | − | 1.09051e7i | 0.394500 | − | 0.819187i | ||||
\(238\) | −23508.4 | + | 3543.33i | −0.00174378 | + | 0.000262833i | ||||
\(239\) | 5.94646e6 | + | 1.51513e7i | 0.435577 | + | 1.10983i | 0.965180 | + | 0.261586i | \(0.0842456\pi\) |
−0.529603 | + | 0.848246i | \(0.677659\pi\) | |||||||
\(240\) | −175668. | − | 2.34412e6i | −0.0127074 | − | 0.169569i | ||||
\(241\) | 8.40709e6 | + | 9.06068e6i | 0.600613 | + | 0.647306i | 0.958040 | − | 0.286635i | \(-0.0925365\pi\) |
−0.357427 | + | 0.933941i | \(0.616346\pi\) | |||||||
\(242\) | 2.36608e7 | − | 5.40042e6i | 1.66949 | − | 0.381049i | ||||
\(243\) | −2.27307e6 | + | 1.50809e7i | −0.158414 | + | 1.05101i | ||||
\(244\) | −5.44254e6 | + | 7.98274e6i | −0.374656 | + | 0.549519i | ||||
\(245\) | 641504. | + | 2.07970e6i | 0.0436215 | + | 0.141418i | ||||
\(246\) | −719424. | + | 9.60005e6i | −0.0483259 | + | 0.644864i | ||||
\(247\) | 1.81544e6 | − | 1.44776e6i | 0.120473 | − | 0.0960743i | ||||
\(248\) | −4.79869e6 | + | 1.55570e7i | −0.314606 | + | 1.01993i | ||||
\(249\) | −3.50282e7 | − | 1.37476e7i | −2.26892 | − | 0.890486i | ||||
\(250\) | −1.28259e6 | + | 5.61940e6i | −0.0820859 | + | 0.359642i | ||||
\(251\) | −4.34035e6 | − | 7.51771e6i | −0.274476 | − | 0.475406i | 0.695527 | − | 0.718500i | \(-0.255171\pi\) |
−0.970003 | + | 0.243094i | \(0.921838\pi\) | |||||||
\(252\) | 1.12645e7 | + | 6.50359e6i | 0.703901 | + | 0.406398i | ||||
\(253\) | 1.50551e6 | + | 1.39691e6i | 0.0929657 | + | 0.0862596i | ||||
\(254\) | −275667. | − | 219837.i | −0.0168222 | − | 0.0134153i | ||||
\(255\) | −9836.19 | + | 6706.20i | −0.000593207 | + | 0.000404442i | ||||
\(256\) | 1.49711e7 | − | 7.20973e6i | 0.892350 | − | 0.429733i | ||||
\(257\) | − | 3.37276e7i | − | 1.98695i | −0.114057 | − | 0.993474i | \(-0.536385\pi\) | ||
0.114057 | − | 0.993474i | \(-0.463615\pi\) | |||||||
\(258\) | −4.97072e6 | + | 2.06728e7i | −0.289441 | + | 1.20376i | ||||
\(259\) | −2.53332e7 | −1.45811 | ||||||||
\(260\) | 81382.6 | + | 168993.i | 0.00463033 | + | 0.00961497i | ||||
\(261\) | −7.19487e6 | − | 1.05529e7i | −0.404670 | − | 0.593542i | ||||
\(262\) | 1.04733e7 | − | 1.31331e7i | 0.582343 | − | 0.730235i | ||||
\(263\) | 1.31702e7 | − | 1.41941e7i | 0.723976 | − | 0.780260i | −0.258628 | − | 0.965977i | \(-0.583270\pi\) |
0.982603 | + | 0.185717i | \(0.0594607\pi\) | |||||||
\(264\) | 2.87539e7 | − | 4.98033e7i | 1.56274 | − | 2.70674i | ||||
\(265\) | 775870. | − | 447949.i | 0.0416919 | − | 0.0240708i | ||||
\(266\) | −2.58996e7 | − | 5.91142e6i | −1.37610 | − | 0.314085i | ||||
\(267\) | 1.22061e6 | − | 3.11006e6i | 0.0641272 | − | 0.163393i | ||||
\(268\) | −1.16709e7 | − | 3.59999e6i | −0.606316 | − | 0.187024i | ||||
\(269\) | 5.68071e6 | + | 7.12339e6i | 0.291841 | + | 0.365957i | 0.906038 | − | 0.423195i | \(-0.139092\pi\) |
−0.614198 | + | 0.789152i | \(0.710520\pi\) | |||||||
\(270\) | −3.49088e6 | − | 261606.i | −0.177355 | − | 0.0132909i | ||||
\(271\) | 9.96824e6 | − | 3.07479e6i | 0.500853 | − | 0.154493i | −0.0340265 | − | 0.999421i | \(-0.510833\pi\) |
0.534880 | + | 0.844928i | \(0.320357\pi\) | |||||||
\(272\) | 12897.1 | + | 8793.13i | 0.000640895 | + | 0.000436955i | ||||
\(273\) | 4.34923e6 | + | 655542.i | 0.213759 | + | 0.0322190i | ||||
\(274\) | 1.51714e6 | + | 6.64703e6i | 0.0737520 | + | 0.323129i | ||||
\(275\) | −2.56985e7 | + | 2.38447e7i | −1.23569 | + | 1.14655i | ||||
\(276\) | 966981. | − | 72465.2i | 0.0459929 | − | 0.00344669i | ||||
\(277\) | −9.68528e6 | + | 3.80119e6i | −0.455693 | + | 0.178846i | −0.582075 | − | 0.813135i | \(-0.697759\pi\) |
0.126381 | + | 0.991982i | \(0.459664\pi\) | |||||||
\(278\) | −1.00024e6 | − | 6.63617e6i | −0.0465555 | − | 0.308875i | ||||
\(279\) | 3.04876e7 | + | 1.46821e7i | 1.40382 | + | 0.676043i | ||||
\(280\) | 3.22266e6 | − | 6.69192e6i | 0.146805 | − | 0.304843i | ||||
\(281\) | 1.52550e7 | − | 2.29932e6i | 0.687531 | − | 0.103629i | 0.204020 | − | 0.978967i | \(-0.434599\pi\) |
0.483511 | + | 0.875338i | \(0.339361\pi\) | |||||||
\(282\) | −1.59325e7 | − | 4.05953e7i | −0.710455 | − | 1.81021i | ||||
\(283\) | −334128. | − | 4.45863e6i | −0.0147419 | − | 0.196717i | −0.999712 | − | 0.0239930i | \(-0.992362\pi\) |
0.984970 | − | 0.172724i | \(-0.0552570\pi\) | |||||||
\(284\) | 963026. | + | 1.03790e6i | 0.0420420 | + | 0.0453105i | ||||
\(285\) | −1.29692e7 | + | 2.96013e6i | −0.560246 | + | 0.127872i | ||||
\(286\) | 513032. | − | 3.40375e6i | 0.0219304 | − | 0.145499i | ||||
\(287\) | −8.79664e6 | + | 1.29023e7i | −0.372110 | + | 0.545785i | ||||
\(288\) | −8.39027e6 | − | 2.72006e7i | −0.351235 | − | 1.13868i | ||||
\(289\) | −1.80380e6 | + | 2.40700e7i | −0.0747298 | + | 0.997201i | ||||
\(290\) | −1.64744e6 | + | 1.31379e6i | −0.0675483 | + | 0.0538680i | ||||
\(291\) | −2.10882e7 | + | 6.83662e7i | −0.855777 | + | 2.77436i | ||||
\(292\) | −1.00442e7 | − | 3.94205e6i | −0.403428 | − | 0.158334i | ||||
\(293\) | −5.14076e6 | + | 2.25231e7i | −0.204373 | + | 0.895418i | 0.763863 | + | 0.645379i | \(0.223301\pi\) |
−0.968236 | + | 0.250039i | \(0.919557\pi\) | |||||||
\(294\) | −9.42908e6 | − | 1.63317e7i | −0.371046 | − | 0.642670i | ||||
\(295\) | 4.41920e6 | + | 2.55142e6i | 0.172138 | + | 0.0993841i | ||||
\(296\) | 2.37512e7 | + | 2.20379e7i | 0.915820 | + | 0.849757i | ||||
\(297\) | −3.43734e7 | − | 2.74119e7i | −1.31206 | − | 1.04633i | ||||
\(298\) | −6.04228e6 | + | 4.11956e6i | −0.228324 | + | 0.155669i | ||||
\(299\) | 181002. | − | 87165.8i | 0.00677125 | − | 0.00326086i | ||||
\(300\) | 1.65523e7i | 0.613047i | ||||||||
\(301\) | −2.37492e7 | + | 2.50090e7i | −0.870861 | + | 0.917057i | ||||
\(302\) | −2.47210e7 | −0.897520 | ||||||||
\(303\) | −3.14110e7 | − | 6.52256e7i | −1.12916 | − | 2.34472i | ||||
\(304\) | 9.82568e6 | + | 1.44116e7i | 0.349737 | + | 0.512970i | ||||
\(305\) | 7.14968e6 | − | 8.96542e6i | 0.251992 | − | 0.315988i | ||||
\(306\) | 42986.6 | − | 46328.5i | 0.00150027 | − | 0.00161690i | ||||
\(307\) | −7.58935e6 | + | 1.31451e7i | −0.262295 | + | 0.454308i | −0.966851 | − | 0.255340i | \(-0.917813\pi\) |
0.704557 | + | 0.709648i | \(0.251146\pi\) | |||||||
\(308\) | 2.33399e7 | − | 1.34753e7i | 0.798817 | − | 0.461197i | ||||
\(309\) | 5.66695e7 | + | 1.29344e7i | 1.92076 | + | 0.438401i | ||||
\(310\) | 2.03957e6 | − | 5.19675e6i | 0.0684628 | − | 0.174440i | ||||
\(311\) | 1.04528e7 | + | 3.22428e6i | 0.347499 | + | 0.107189i | 0.463591 | − | 0.886049i | \(-0.346561\pi\) |
−0.116092 | + | 0.993238i | \(0.537037\pi\) | |||||||
\(312\) | −3.50736e6 | − | 4.39809e6i | −0.115482 | − | 0.144810i | ||||
\(313\) | 5.10938e7 | + | 3.82895e6i | 1.66623 | + | 0.124867i | 0.874184 | − | 0.485594i | \(-0.161397\pi\) |
0.792046 | + | 0.610461i | \(0.209016\pi\) | |||||||
\(314\) | −9.51027e6 | + | 2.93353e6i | −0.307188 | + | 0.0947549i | ||||
\(315\) | −1.27555e7 | − | 8.69658e6i | −0.408101 | − | 0.278238i | ||||
\(316\) | −7.17367e6 | − | 1.08126e6i | −0.227342 | − | 0.0342663i | ||||
\(317\) | 4.99008e6 | + | 2.18630e7i | 0.156650 | + | 0.686327i | 0.990862 | + | 0.134883i | \(0.0430659\pi\) |
−0.834212 | + | 0.551444i | \(0.814077\pi\) | |||||||
\(318\) | −5.69056e6 | + | 5.28007e6i | −0.176959 | + | 0.164194i | ||||
\(319\) | −2.63899e7 | + | 1.97765e6i | −0.812952 | + | 0.0609224i | ||||
\(320\) | −7.59957e6 | + | 2.98261e6i | −0.231921 | + | 0.0910221i | ||||
\(321\) | 1.04743e7 | + | 6.94922e7i | 0.316671 | + | 2.10097i | ||||
\(322\) | −2.07078e6 | − | 997237.i | −0.0620251 | − | 0.0298697i | ||||
\(323\) | 38327.1 | − | 79587.0i | 0.00113736 | − | 0.00236175i | ||||
\(324\) | 1.08871e6 | − | 164097.i | 0.0320094 | − | 0.00482464i | ||||
\(325\) | 1.25284e6 | + | 3.19218e6i | 0.0364959 | + | 0.0929901i | ||||
\(326\) | −450665. | − | 6.01370e6i | −0.0130077 | − | 0.173576i | ||||
\(327\) | 1.28975e7 | + | 1.39002e7i | 0.368861 | + | 0.397538i | ||||
\(328\) | 1.94712e7 | − | 4.44419e6i | 0.551788 | − | 0.125942i | ||||
\(329\) | 1.05431e7 | − | 6.99486e7i | 0.296060 | − | 1.96423i | ||||
\(330\) | −1.11087e7 | + | 1.62934e7i | −0.309115 | + | 0.453389i | ||||
\(331\) | −1.79999e7 | − | 5.83543e7i | −0.496348 | − | 1.60912i | −0.763734 | − | 0.645531i | \(-0.776636\pi\) |
0.267386 | − | 0.963589i | \(-0.413840\pi\) | |||||||
\(332\) | −1.68548e6 | + | 2.24912e7i | −0.0460584 | + | 0.614607i | ||||
\(333\) | 5.26521e7 | − | 4.19887e7i | 1.42588 | − | 1.13710i | ||||
\(334\) | 6.60000e6 | − | 2.13967e7i | 0.177135 | − | 0.574258i | ||||
\(335\) | 1.34940e7 | + | 5.29601e6i | 0.358927 | + | 0.140869i | ||||
\(336\) | −7.35192e6 | + | 3.22109e7i | −0.193813 | + | 0.849150i | ||||
\(337\) | −1.61604e7 | − | 2.79905e7i | −0.422242 | − | 0.731344i | 0.573917 | − | 0.818914i | \(-0.305423\pi\) |
−0.996158 | + | 0.0875696i | \(0.972090\pi\) | |||||||
\(338\) | 2.54754e7 | + | 1.47082e7i | 0.659737 | + | 0.380900i | ||||
\(339\) | 3.95020e7 | + | 3.66525e7i | 1.01396 | + | 0.940816i | ||||
\(340\) | 5578.73 | + | 4448.89i | 0.000141938 | + | 0.000113192i | ||||
\(341\) | 5.79302e7 | − | 3.94961e7i | 1.46097 | − | 0.996073i | ||||
\(342\) | 6.36272e7 | − | 3.06412e7i | 1.59061 | − | 0.765999i | ||||
\(343\) | 2.04446e7i | 0.506636i | ||||||||
\(344\) | 4.40218e7 | − | 2.78729e6i | 1.08142 | − | 0.0684711i | ||||
\(345\) | −1.15092e6 | −0.0280277 | ||||||||
\(346\) | 2.44809e7 | + | 5.08350e7i | 0.591015 | + | 1.22725i | ||||
\(347\) | −3.97395e7 | − | 5.82871e7i | −0.951116 | − | 1.39503i | −0.918438 | − | 0.395565i | \(-0.870549\pi\) |
−0.0326780 | − | 0.999466i | \(-0.510404\pi\) | |||||||
\(348\) | −7.79053e6 | + | 9.76902e6i | −0.184854 | + | 0.231800i | ||||
\(349\) | −4.09485e7 | + | 4.41320e7i | −0.963300 | + | 1.03819i | 0.0359455 | + | 0.999354i | \(0.488556\pi\) |
−0.999246 | + | 0.0388368i | \(0.987635\pi\) | |||||||
\(350\) | 1.96164e7 | − | 3.39765e7i | 0.457524 | − | 0.792455i | ||||
\(351\) | −3.72446e6 | + | 2.15032e6i | −0.0861276 | + | 0.0497258i | ||||
\(352\) | −5.75006e7 | − | 1.31241e7i | −1.31839 | − | 0.300914i | ||||
\(353\) | 1.48736e7 | − | 3.78973e7i | 0.338137 | − | 0.861558i | −0.656132 | − | 0.754646i | \(-0.727809\pi\) |
0.994269 | − | 0.106912i | \(-0.0340962\pi\) | |||||||
\(354\) | −4.22511e7 | − | 1.30327e7i | −0.952420 | − | 0.293783i | ||||
\(355\) | −1.04775e6 | − | 1.31384e6i | −0.0234193 | − | 0.0293669i | ||||
\(356\) | −1.99693e6 | − | 149649.i | −0.0442601 | − | 0.00331684i | ||||
\(357\) | 159889. | − | 49319.2i | 0.00351410 | − | 0.00108396i | ||||
\(358\) | 2.57219e7 | + | 1.75369e7i | 0.560602 | + | 0.382212i | ||||
\(359\) | 5.20624e7 | + | 7.84715e6i | 1.12523 | + | 0.169601i | 0.685181 | − | 0.728373i | \(-0.259723\pi\) |
0.440048 | + | 0.897974i | \(0.354961\pi\) | |||||||
\(360\) | 4.39364e6 | + | 1.92498e7i | 0.0941709 | + | 0.412590i | ||||
\(361\) | 3.78709e7 | − | 3.51391e7i | 0.804979 | − | 0.746911i | ||||
\(362\) | −1.27700e6 | + | 95698.1i | −0.0269194 | + | 0.00201733i | ||||
\(363\) | −1.59001e8 | + | 6.24034e7i | −3.32415 | + | 1.30463i | ||||
\(364\) | −392917. | − | 2.60684e6i | −0.00814699 | − | 0.0540517i | ||||
\(365\) | 1.15384e7 | + | 5.55659e6i | 0.237283 | + | 0.114269i | ||||
\(366\) | −4.31114e7 | + | 8.95218e7i | −0.879324 | + | 1.82594i | ||||
\(367\) | 3.72361e7 | − | 5.61244e6i | 0.753297 | − | 0.113541i | 0.238842 | − | 0.971059i | \(-0.423232\pi\) |
0.514455 | + | 0.857517i | \(0.327994\pi\) | |||||||
\(368\) | 551328. | + | 1.40476e6i | 0.0110628 | + | 0.0281877i | ||||
\(369\) | −3.10220e6 | − | 4.13959e7i | −0.0617433 | − | 0.823907i | ||||
\(370\) | −7.55701e6 | − | 8.14452e6i | −0.149192 | − | 0.160790i | ||||
\(371\) | −1.22762e7 | + | 2.80197e6i | −0.240405 | + | 0.0548708i | ||||
\(372\) | 4.93393e6 | − | 3.27345e7i | 0.0958438 | − | 0.635882i | ||||
\(373\) | 2.48149e7 | − | 3.63968e7i | 0.478174 | − | 0.701353i | −0.509042 | − | 0.860742i | \(-0.670000\pi\) |
0.987216 | + | 0.159389i | \(0.0509525\pi\) | |||||||
\(374\) | −38597.6 | − | 125130.i | −0.000737812 | − | 0.00239193i | ||||
\(375\) | 3.03156e6 | − | 4.04534e7i | 0.0574874 | − | 0.767116i | ||||
\(376\) | −7.07343e7 | + | 5.64087e7i | −1.33066 | + | 1.06116i | ||||
\(377\) | −763023. | + | 2.47366e6i | −0.0142401 | + | 0.0461654i | ||||
\(378\) | 4.58011e7 | + | 1.79756e7i | 0.848009 | + | 0.332819i | ||||
\(379\) | −1.33470e7 | + | 5.84769e7i | −0.245169 | + | 1.07415i | 0.691070 | + | 0.722788i | \(0.257140\pi\) |
−0.936238 | + | 0.351366i | \(0.885717\pi\) | |||||||
\(380\) | 3.98668e6 | + | 6.90513e6i | 0.0726542 | + | 0.125841i | ||||
\(381\) | 2.14910e6 | + | 1.24078e6i | 0.0388580 | + | 0.0224347i | ||||
\(382\) | 2.93535e7 | + | 2.72361e7i | 0.526587 | + | 0.488601i | ||||
\(383\) | −2.11225e6 | − | 1.68446e6i | −0.0375967 | − | 0.0299823i | 0.604511 | − | 0.796597i | \(-0.293368\pi\) |
−0.642108 | + | 0.766614i | \(0.721940\pi\) | |||||||
\(384\) | 1.81798e6 | − | 1.23948e6i | 0.0321068 | − | 0.0218900i | ||||
\(385\) | −2.88197e7 | + | 1.38788e7i | −0.505018 | + | 0.243204i | ||||
\(386\) | 3.37141e7i | 0.586205i | ||||||||
\(387\) | 7.90863e6 | − | 9.13413e7i | 0.136448 | − | 1.57592i | ||||
\(388\) | 4.28824e7 | 0.734148 | ||||||||
\(389\) | −3.30230e7 | − | 6.85729e7i | −0.561006 | − | 1.16494i | −0.967870 | − | 0.251452i | \(-0.919092\pi\) |
0.406864 | − | 0.913489i | \(-0.366622\pi\) | |||||||
\(390\) | 1.08664e6 | + | 1.59381e6i | 0.0183186 | + | 0.0268684i | ||||
\(391\) | 4765.04 | − | 5975.17i | 7.97142e−5 | − | 9.99585e-5i | ||||
\(392\) | −2.66103e7 | + | 2.86791e7i | −0.441766 | + | 0.476110i | ||||
\(393\) | −5.91121e7 | + | 1.02385e8i | −0.973865 | + | 1.68678i | ||||
\(394\) | −2.82834e7 | + | 1.63294e7i | −0.462427 | + | 0.266982i | ||||
\(395\) | 8.39465e6 | + | 1.91602e6i | 0.136211 | + | 0.0310892i | ||||
\(396\) | −2.61745e7 | + | 6.66916e7i | −0.421496 | + | 1.07395i | ||||
\(397\) | −5.69613e7 | − | 1.75702e7i | −0.910351 | − | 0.280806i | −0.196008 | − | 0.980602i | \(-0.562798\pi\) |
−0.714342 | + | 0.699796i | \(0.753274\pi\) | |||||||
\(398\) | −3.40108e7 | − | 4.26482e7i | −0.539471 | − | 0.676475i | ||||
\(399\) | 1.86448e8 | + | 1.39724e7i | 2.93521 | + | 0.219964i | ||||
\(400\) | −2.46149e7 | + | 7.59270e6i | −0.384608 | + | 0.118636i | ||||
\(401\) | −3.94638e7 | − | 2.69060e7i | −0.612021 | − | 0.417269i | 0.217250 | − | 0.976116i | \(-0.430291\pi\) |
−0.829271 | + | 0.558847i | \(0.811244\pi\) | |||||||
\(402\) | −1.24204e8 | − | 1.87207e7i | −1.91186 | − | 0.288166i | ||||
\(403\) | −1.52614e6 | − | 6.68644e6i | −0.0233173 | − | 0.102160i | ||||
\(404\) | −3.18086e7 | + | 2.95140e7i | −0.482392 | + | 0.447594i | ||||
\(405\) | −1.30312e6 | + | 97655.5i | −0.0196164 | + | 0.00147005i | ||||
\(406\) | 2.75689e7 | − | 1.08200e7i | 0.411947 | − | 0.161677i | ||||
\(407\) | −2.07969e7 | − | 1.37978e8i | −0.308471 | − | 2.04657i | ||||
\(408\) | −192808. | − | 92851.3i | −0.00283886 | − | 0.00136712i | ||||
\(409\) | 2.10114e7 | − | 4.36307e7i | 0.307104 | − | 0.637708i | −0.689109 | − | 0.724658i | \(-0.741998\pi\) |
0.996213 | + | 0.0869501i | \(0.0277121\pi\) | |||||||
\(410\) | −6.77210e6 | + | 1.02073e6i | −0.0982588 | + | 0.0148101i | ||||
\(411\) | −1.75310e7 | − | 4.46682e7i | −0.252511 | − | 0.643389i | ||||
\(412\) | −2.60359e6 | − | 3.47425e7i | −0.0372290 | − | 0.496787i | ||||
\(413\) | −4.87827e7 | − | 5.25752e7i | −0.692493 | − | 0.746330i | ||||
\(414\) | 5.95675e6 | − | 1.35959e6i | 0.0839477 | − | 0.0191605i | ||||
\(415\) | 3.98977e6 | − | 2.64704e7i | 0.0558218 | − | 0.370353i | ||||
\(416\) | −3.24996e6 | + | 4.76682e6i | −0.0451438 | + | 0.0662138i | ||||
\(417\) | 1.39223e7 | + | 4.51349e7i | 0.192000 | + | 0.622450i | ||||
\(418\) | 1.09349e7 | − | 1.45916e8i | 0.149722 | − | 1.99790i | ||||
\(419\) | 5.21468e6 | − | 4.15857e6i | 0.0708902 | − | 0.0565330i | −0.587404 | − | 0.809294i | \(-0.699850\pi\) |
0.658294 | + | 0.752761i | \(0.271278\pi\) | |||||||
\(420\) | −4.45169e6 | + | 1.44320e7i | −0.0600865 | + | 0.194796i | ||||
\(421\) | 2.94393e7 | + | 1.15541e7i | 0.394531 | + | 0.154842i | 0.554309 | − | 0.832311i | \(-0.312983\pi\) |
−0.159778 | + | 0.987153i | \(0.551078\pi\) | |||||||
\(422\) | 4.99484e6 | − | 2.18838e7i | 0.0664636 | − | 0.291196i | ||||
\(423\) | 9.40241e7 | + | 1.62855e8i | 1.24228 | + | 2.15169i | ||||
\(424\) | 1.39471e7 | + | 8.05234e6i | 0.182972 | + | 0.105639i | ||||
\(425\) | 95630.1 | + | 88731.8i | 0.00124574 | + | 0.00115588i | ||||
\(426\) | 1.13842e7 | + | 9.07863e6i | 0.147257 | + | 0.117433i | ||||
\(427\) | −1.33167e8 | + | 9.07917e7i | −1.71046 | + | 1.16617i | ||||
\(428\) | 3.79511e7 | − | 1.82763e7i | 0.484053 | − | 0.233108i | ||||
\(429\) | 2.42264e7i | 0.306843i | ||||||||
\(430\) | −1.51247e7 | − | 174972.i | −0.190231 | − | 0.00220071i | ||||
\(431\) | 6.78554e7 | 0.847526 | 0.423763 | − | 0.905773i | \(-0.360709\pi\) | ||||
0.423763 | + | 0.905773i | \(0.360709\pi\) | |||||||
\(432\) | −1.40167e7 | − | 2.91059e7i | −0.173858 | − | 0.361019i | ||||
\(433\) | 8.03763e7 | + | 1.17890e8i | 0.990067 | + | 1.45216i | 0.889340 | + | 0.457247i | \(0.151165\pi\) |
0.100727 | + | 0.994914i | \(0.467883\pi\) | |||||||
\(434\) | −4.89220e7 | + | 6.13462e7i | −0.598460 | + | 0.750445i | ||||
\(435\) | 1.00871e7 | − | 1.08713e7i | 0.122546 | − | 0.132073i | ||||
\(436\) | 5.68274e6 | − | 9.84280e6i | 0.0685644 | − | 0.118757i | ||||
\(437\) | 7.39583e6 | − | 4.26998e6i | 0.0886222 | − | 0.0511660i | ||||
\(438\) | −1.08185e8 | − | 2.46926e7i | −1.28750 | − | 0.293863i | ||||
\(439\) | −4.61819e7 | + | 1.17670e8i | −0.545856 | + | 1.39082i | 0.345887 | + | 0.938276i | \(0.387578\pi\) |
−0.891743 | + | 0.452542i | \(0.850517\pi\) | |||||||
\(440\) | 3.90933e7 | + | 1.20587e7i | 0.458928 | + | 0.141561i | ||||
\(441\) | 5.07006e7 | + | 6.35765e7i | 0.591149 | + | 0.741278i | ||||
\(442\) | −12773.4 | − | 957.234i | −0.000147924 | − | 1.10854e-5i | ||||
\(443\) | −6.90184e7 | + | 2.12894e7i | −0.793878 | + | 0.244879i | −0.665061 | − | 0.746789i | \(-0.731594\pi\) |
−0.128817 | + | 0.991668i | \(0.541118\pi\) | |||||||
\(444\) | −5.44351e7 | − | 3.71132e7i | −0.621913 | − | 0.424013i | ||||
\(445\) | 2.35024e6 | + | 354241.i | 0.0266705 | + | 0.00401993i | ||||
\(446\) | 1.21132e6 | + | 5.30715e6i | 0.0136538 | + | 0.0598214i | ||||
\(447\) | 3.77297e7 | − | 3.50080e7i | 0.422436 | − | 0.391963i | ||||
\(448\) | 1.14424e8 | − | 8.57487e6i | 1.27257 | − | 0.0953660i | ||||
\(449\) | 6.07471e7 | − | 2.38415e7i | 0.671099 | − | 0.263387i | −0.00523029 | − | 0.999986i | \(-0.501665\pi\) |
0.676329 | + | 0.736599i | \(0.263570\pi\) | |||||||
\(450\) | 1.55443e7 | + | 1.03129e8i | 0.170582 | + | 1.13174i | ||||
\(451\) | −7.74942e7 | − | 3.73192e7i | −0.844772 | − | 0.406821i | ||||
\(452\) | 1.40139e7 | − | 2.91002e7i | 0.151755 | − | 0.315123i | ||||
\(453\) | 1.72044e8 | − | 2.59315e7i | 1.85074 | − | 0.278954i | ||||
\(454\) | −3.52692e7 | − | 8.98646e7i | −0.376902 | − | 0.960331i | ||||
\(455\) | 233829. | + | 3.12023e6i | 0.00248235 | + | 0.0331247i | ||||
\(456\) | −1.62650e8 | − | 1.75295e8i | −1.71537 | − | 1.84873i | ||||
\(457\) | 2.09220e7 | − | 4.77531e6i | 0.219207 | − | 0.0500325i | −0.111507 | − | 0.993764i | \(-0.535568\pi\) |
0.330714 | + | 0.943731i | \(0.392711\pi\) | |||||||
\(458\) | −9.59567e6 | + | 6.36631e7i | −0.0998801 | + | 0.662661i | ||||
\(459\) | −92162.0 | + | 135177.i | −0.000953046 | + | 0.00139786i | ||||
\(460\) | 203333. | + | 659188.i | 0.00208898 | + | 0.00677230i | ||||
\(461\) | −2.46717e6 | + | 3.29221e7i | −0.0251824 | + | 0.336036i | 0.970356 | + | 0.241679i | \(0.0776983\pi\) |
−0.995539 | + | 0.0943561i | \(0.969921\pi\) | |||||||
\(462\) | 2.16698e8 | − | 1.72811e8i | 2.19750 | − | 1.75244i | ||||
\(463\) | 1.99863e7 | − | 6.47938e7i | 0.201367 | − | 0.652816i | −0.797413 | − | 0.603434i | \(-0.793799\pi\) |
0.998780 | − | 0.0493819i | \(-0.0157252\pi\) | |||||||
\(464\) | −1.81011e7 | − | 7.10418e6i | −0.181197 | − | 0.0711148i | ||||
\(465\) | −8.74309e6 | + | 3.83060e7i | −0.0869573 | + | 0.380985i | ||||
\(466\) | 6.48996e7 | + | 1.12409e8i | 0.641334 | + | 1.11082i | ||||
\(467\) | 3.64224e7 | + | 2.10285e7i | 0.357616 | + | 0.206470i | 0.668035 | − | 0.744130i | \(-0.267136\pi\) |
−0.310418 | + | 0.950600i | \(0.600469\pi\) | |||||||
\(468\) | 5.13734e6 | + | 4.76676e6i | 0.0501188 | + | 0.0465035i | ||||
\(469\) | −1.59293e8 | − | 1.27032e8i | −1.54411 | − | 1.23139i | ||||
\(470\) | 2.56332e7 | − | 1.74764e7i | 0.246893 | − | 0.168329i | ||||
\(471\) | 6.31091e7 | − | 3.03917e7i | 0.603989 | − | 0.290866i | ||||
\(472\) | 9.17289e7i | 0.872329i | ||||||||
\(473\) | −1.55709e8 | − | 1.08820e8i | −1.47139 | − | 1.02831i | ||||
\(474\) | −7.46091e7 | −0.700578 | ||||||||
\(475\) | 6.32489e7 | + | 1.31338e8i | 0.590163 | + | 1.22549i | ||||
\(476\) | −56495.1 | − | 82863.1i | −0.000523830 | − | 0.000768317i | ||||
\(477\) | 2.08705e7 | − | 2.61708e7i | 0.192300 | − | 0.241136i | ||||
\(478\) | 6.82421e7 | − | 7.35475e7i | 0.624840 | − | 0.673418i | ||||
\(479\) | −6.19860e7 | + | 1.07363e8i | −0.564011 | + | 0.976895i | 0.433130 | + | 0.901331i | \(0.357409\pi\) |
−0.997141 | + | 0.0755640i | \(0.975924\pi\) | |||||||
\(480\) | 2.86237e7 | − | 1.65259e7i | 0.258823 | − | 0.149431i | ||||
\(481\) | −1.33071e7 | − | 3.03727e6i | −0.119577 | − | 0.0272928i | ||||
\(482\) | 2.78354e7 | − | 7.09235e7i | 0.248575 | − | 0.633358i | ||||
\(483\) | 1.54576e7 | + | 4.76804e6i | 0.137183 | + | 0.0423154i | ||||
\(484\) | 6.38322e7 | + | 8.00431e7i | 0.562994 | + | 0.705973i | ||||
\(485\) | −5.07544e7 | − | 3.80351e6i | −0.444885 | − | 0.0333396i | ||||
\(486\) | 8.98341e7 | − | 2.77102e7i | 0.782587 | − | 0.241396i | ||||
\(487\) | 1.87958e8 | + | 1.28148e8i | 1.62733 | + | 1.10949i | 0.911574 | + | 0.411137i | \(0.134868\pi\) |
0.715752 | + | 0.698355i | \(0.246084\pi\) | |||||||
\(488\) | 2.03832e8 | + | 3.07227e7i | 1.75393 | + | 0.264363i | ||||
\(489\) | 9.44457e6 | + | 4.13793e7i | 0.0807710 | + | 0.353881i | ||||
\(490\) | 9.83435e6 | − | 9.12495e6i | 0.0835906 | − | 0.0775608i | ||||
\(491\) | 6.61607e7 | − | 4.95806e6i | 0.558928 | − | 0.0418859i | 0.207728 | − | 0.978187i | \(-0.433393\pi\) |
0.351199 | + | 0.936301i | \(0.385774\pi\) | |||||||
\(492\) | −3.78037e7 | + | 1.48369e7i | −0.317424 | + | 0.124580i | ||||
\(493\) | 14677.4 | + | 97378.3i | 0.000122492 | + | 0.000812684i | ||||
\(494\) | −1.28959e7 | − | 6.21034e6i | −0.106972 | − | 0.0515151i | ||||
\(495\) | 3.68948e7 | − | 7.66127e7i | 0.304193 | − | 0.631663i | ||||
\(496\) | 5.09429e7 | − | 7.67840e6i | 0.417482 | − | 0.0629254i | ||||
\(497\) | 8.62902e6 | + | 2.19864e7i | 0.0702898 | + | 0.179095i | ||||
\(498\) | 1.73339e7 | + | 2.31305e8i | 0.140348 | + | 1.87282i | ||||
\(499\) | 9.97916e6 | + | 1.07550e7i | 0.0803142 | + | 0.0865581i | 0.771930 | − | 0.635707i | \(-0.219291\pi\) |
−0.691616 | + | 0.722265i | \(0.743101\pi\) | |||||||
\(500\) | −2.37052e7 | + | 5.41057e6i | −0.189642 | + | 0.0432845i | ||||
\(501\) | −2.34880e7 | + | 1.55832e8i | −0.186781 | + | 1.23921i | ||||
\(502\) | −3.01428e7 | + | 4.42114e7i | −0.238272 | + | 0.349480i | ||||
\(503\) | −1.29592e7 | − | 4.20128e7i | −0.101830 | − | 0.330124i | 0.890294 | − | 0.455386i | \(-0.150499\pi\) |
−0.992124 | + | 0.125262i | \(0.960023\pi\) | |||||||
\(504\) | 2.07387e7 | − | 2.76739e8i | 0.161991 | − | 2.16162i | ||||
\(505\) | 4.02655e7 | − | 3.21107e7i | 0.312650 | − | 0.249330i | ||||
\(506\) | 3.73151e6 | − | 1.20973e7i | 0.0288027 | − | 0.0933760i | ||||
\(507\) | −1.92723e8 | − | 7.56384e7i | −1.47880 | − | 0.580388i | ||||
\(508\) | 330976. | − | 1.45010e6i | 0.00252468 | − | 0.0110613i | ||||
\(509\) | −1.07086e7 | − | 1.85479e7i | −0.0812045 | − | 0.140650i | 0.822563 | − | 0.568674i | \(-0.192543\pi\) |
−0.903768 | + | 0.428024i | \(0.859210\pi\) | |||||||
\(510\) | 63551.4 | + | 36691.4i | 0.000479087 | + | 0.000276601i | ||||
\(511\) | −1.31948e8 | − | 1.22430e8i | −0.988872 | − | 0.917540i | ||||
\(512\) | −8.26192e7 | − | 6.58866e7i | −0.615561 | − | 0.490893i | ||||
\(513\) | −1.51050e8 | + | 1.02984e8i | −1.11884 | + | 0.762815i | ||||
\(514\) | −1.87313e8 | + | 9.02054e7i | −1.37937 | + | 0.664268i | ||||
\(515\) | 4.13512e7i | 0.302738i | ||||||||
\(516\) | −8.76694e7 | + | 1.89457e7i | −0.638115 | + | 0.137899i | ||||
\(517\) | 3.89632e8 | 2.81957 | ||||||||
\(518\) | 6.77544e7 | + | 1.40693e8i | 0.487470 | + | 1.01224i | ||||
\(519\) | −2.23698e8 | − | 3.28104e8i | −1.60015 | − | 2.34698i | ||||
\(520\) | 2.49512e6 | − | 3.12878e6i | 0.0177452 | − | 0.0222518i | ||||
\(521\) | −6.70376e7 | + | 7.22494e7i | −0.474030 | + | 0.510882i | −0.924121 | − | 0.382100i | \(-0.875201\pi\) |
0.450091 | + | 0.892983i | \(0.351391\pi\) | |||||||
\(522\) | −3.93650e7 | + | 6.81823e7i | −0.276757 | + | 0.479358i | ||||
\(523\) | −8.27235e6 | + | 4.77604e6i | −0.0578261 | + | 0.0333859i | −0.528634 | − | 0.848850i | \(-0.677296\pi\) |
0.470808 | + | 0.882236i | \(0.343962\pi\) | |||||||
\(524\) | 6.90844e7 | + | 1.57681e7i | 0.480160 | + | 0.109593i | ||||
\(525\) | −1.00879e8 | + | 2.57035e8i | −0.697143 | + | 1.77629i | ||||
\(526\) | −1.14054e8 | − | 3.51809e7i | −0.783704 | − | 0.241741i | ||||
\(527\) | −162673. | − | 203986.i | −0.00111143 | − | 0.00139369i | ||||
\(528\) | −1.81473e8 | − | 1.35995e7i | −1.23285 | − | 0.0923892i | ||||
\(529\) | −1.40753e8 | + | 4.34166e7i | −0.950803 | + | 0.293284i | ||||
\(530\) | −4.56286e6 | − | 3.11091e6i | −0.0306485 | − | 0.0208958i | ||||
\(531\) | 1.88530e8 | + | 2.84163e7i | 1.25921 | + | 0.189795i | ||||
\(532\) | −2.49371e7 | − | 1.09257e8i | −0.165619 | − | 0.725626i | ||||
\(533\) | −6.16761e6 | + | 5.72271e6i | −0.0407320 | + | 0.0377938i | ||||
\(534\) | −2.05369e7 | + | 1.53903e6i | −0.134869 | + | 0.0101070i | ||||
\(535\) | −4.65389e7 | + | 1.82652e7i | −0.303917 | + | 0.119279i | ||||
\(536\) | 3.88377e7 | + | 2.57671e8i | 0.252208 | + | 1.67329i | ||||
\(537\) | −1.97406e8 | − | 9.50658e7i | −1.27479 | − | 0.613905i | ||||
\(538\) | 2.43680e7 | − | 5.06007e7i | 0.156485 | − | 0.324945i | ||||
\(539\) | 1.66606e8 | − | 2.51118e7i | 1.06396 | − | 0.160366i | ||||
\(540\) | −5.39516e6 | − | 1.37466e7i | −0.0342628 | − | 0.0873002i | ||||
\(541\) | 7.82980e6 | + | 1.04481e8i | 0.0494491 | + | 0.659853i | 0.965769 | + | 0.259405i | \(0.0835264\pi\) |
−0.916320 | + | 0.400448i | \(0.868855\pi\) | |||||||
\(542\) | −4.37368e7 | − | 4.71371e7i | −0.274694 | − | 0.296050i | ||||
\(543\) | 8.78686e6 | − | 2.00554e6i | 0.0548825 | − | 0.0125266i | ||||
\(544\) | −32711.2 | + | 217025.i | −0.000203189 | + | 0.00134807i | ||||
\(545\) | −7.59896e6 | + | 1.11456e7i | −0.0469423 | + | 0.0688517i | ||||
\(546\) | −7.99145e6 | − | 2.59076e7i | −0.0490962 | − | 0.159166i | ||||
\(547\) | 1.17518e7 | − | 1.56817e8i | 0.0718030 | − | 0.958145i | −0.838687 | − | 0.544614i | \(-0.816676\pi\) |
0.910490 | − | 0.413531i | \(-0.135705\pi\) | |||||||
\(548\) | −2.24865e7 | + | 1.79324e7i | −0.136641 | + | 0.108967i | ||||
\(549\) | 1.26289e8 | − | 4.09418e8i | 0.763216 | − | 2.47428i | ||||
\(550\) | 2.01158e8 | + | 7.89486e7i | 1.20906 | + | 0.474522i | ||||
\(551\) | −2.44867e7 | + | 1.07283e8i | −0.146378 | + | 0.641324i | ||||
\(552\) | −1.03445e7 | − | 1.79171e7i | −0.0615022 | − | 0.106525i | ||||
\(553\) | −1.04808e8 | − | 6.05109e7i | −0.619753 | − | 0.357815i | ||||
\(554\) | 4.70142e7 | + | 4.36228e7i | 0.276503 | + | 0.256557i | ||||
\(555\) | 6.11360e7 | + | 4.87543e7i | 0.357617 | + | 0.285190i | ||||
\(556\) | 2.33913e7 | − | 1.59480e7i | 0.136091 | − | 0.0927856i | ||||
\(557\) | −1.65347e8 | + | 7.96269e7i | −0.956821 | + | 0.460781i | −0.846073 | − | 0.533068i | \(-0.821039\pi\) |
−0.110749 | + | 0.993848i | \(0.535325\pi\) | |||||||
\(558\) | − | 2.08587e8i | − | 1.20056i | ||||||
\(559\) | −1.54734e7 | + | 1.02894e7i | −0.0885831 | + | 0.0589056i | ||||
\(560\) | −2.35040e7 | −0.133837 | ||||||||
\(561\) | 399877. | + | 830352.i | 0.00226484 | + | 0.00470299i | ||||
\(562\) | −5.35696e7 | − | 7.85721e7i | −0.301793 | − | 0.442649i | ||||
\(563\) | −3.26447e6 | + | 4.09352e6i | −0.0182931 | + | 0.0229388i | −0.790894 | − | 0.611953i | \(-0.790384\pi\) |
0.772601 | + | 0.634892i | \(0.218955\pi\) | |||||||
\(564\) | 1.25129e8 | − | 1.34857e8i | 0.697463 | − | 0.751687i | ||||
\(565\) | −1.91675e7 | + | 3.31991e7i | −0.106272 | + | 0.184069i | ||||
\(566\) | −2.38683e7 | + | 1.37804e7i | −0.131635 | + | 0.0759997i | ||||
\(567\) | 1.79064e7 | + | 4.08701e6i | 0.0982332 | + | 0.0224211i | ||||
\(568\) | 1.10362e7 | − | 2.81199e7i | 0.0602249 | − | 0.153451i | ||||
\(569\) | −3.30512e7 | − | 1.01950e7i | −0.179412 | − | 0.0553412i | 0.203748 | − | 0.979023i | \(-0.434688\pi\) |
−0.383159 | + | 0.923682i | \(0.625164\pi\) | |||||||
\(570\) | 5.11262e7 | + | 6.41102e7i | 0.276070 | + | 0.346180i | ||||
\(571\) | −2.00287e8 | − | 1.50094e7i | −1.07583 | − | 0.0806223i | −0.474990 | − | 0.879991i | \(-0.657548\pi\) |
−0.600840 | + | 0.799369i | \(0.705167\pi\) | |||||||
\(572\) | 1.38757e7 | − | 4.28007e6i | 0.0741422 | − | 0.0228698i | ||||
\(573\) | −2.32854e8 | − | 1.58757e8i | −1.23771 | − | 0.843859i | ||||
\(574\) | 9.51824e7 | + | 1.43464e7i | 0.503293 | + | 0.0758593i | ||||
\(575\) | 2.80643e6 | + | 1.22958e7i | 0.0147622 | + | 0.0646774i | ||||
\(576\) | −2.23604e8 | + | 2.07474e8i | −1.17007 | + | 1.08567i | ||||
\(577\) | 2.27161e8 | − | 1.70234e7i | 1.18252 | − | 0.0886173i | 0.531080 | − | 0.847322i | \(-0.321786\pi\) |
0.651435 | + | 0.758704i | \(0.274167\pi\) | |||||||
\(578\) | 1.38502e8 | − | 5.43580e7i | 0.717253 | − | 0.281501i | ||||
\(579\) | −3.53650e7 | − | 2.34632e8i | −0.182196 | − | 1.20879i | ||||
\(580\) | −8.00865e6 | − | 3.85676e6i | −0.0410464 | − | 0.0197669i | ||||
\(581\) | −1.63247e8 | + | 3.38986e8i | −0.832371 | + | 1.72844i | ||||
\(582\) | 4.36087e8 | − | 6.57295e7i | 2.21210 | − | 0.333420i | ||||
\(583\) | −2.53389e7 | − | 6.45626e7i | −0.127874 | − | 0.325818i | ||||
\(584\) | 1.72038e7 | + | 2.29568e8i | 0.0863744 | + | 1.15259i | ||||
\(585\) | −5.65762e6 | − | 6.09746e6i | −0.0282596 | − | 0.0304566i | ||||
\(586\) | 1.38836e8 | − | 3.16884e7i | 0.689936 | − | 0.157473i | ||||
\(587\) | −2.19519e7 | + | 1.45641e8i | −0.108532 | + | 0.720062i | 0.866692 | + | 0.498843i | \(0.166242\pi\) |
−0.975224 | + | 0.221219i | \(0.928996\pi\) | |||||||
\(588\) | 4.48135e7 | − | 6.57293e7i | 0.220433 | − | 0.323316i | ||||
\(589\) | −8.59344e7 | − | 2.78592e8i | −0.420553 | − | 1.36340i | ||||
\(590\) | 2.35062e6 | − | 3.13668e7i | 0.0114453 | − | 0.152726i | ||||
\(591\) | 1.79708e8 | − | 1.43312e8i | 0.870572 | − | 0.694258i | ||||
\(592\) | 3.02212e7 | − | 9.79748e7i | 0.145662 | − | 0.472225i | ||||
\(593\) | −3.64182e8 | − | 1.42931e8i | −1.74644 | − | 0.685428i | −0.999796 | − | 0.0202056i | \(-0.993568\pi\) |
−0.746645 | − | 0.665222i | \(-0.768337\pi\) | |||||||
\(594\) | −6.03051e7 | + | 2.64214e8i | −0.287736 | + | 1.26065i | ||||
\(595\) | 59516.4 | + | 103085.i | 0.000282544 | + | 0.000489380i | ||||
\(596\) | −2.67165e7 | − | 1.54248e7i | −0.126195 | − | 0.0728586i | ||||
\(597\) | 2.81434e8 | + | 2.61132e8i | 1.32267 | + | 1.22726i | ||||
\(598\) | −968187. | − | 772103.i | −0.00452747 | − | 0.00361054i | ||||
\(599\) | −1.21914e8 | + | 8.31193e7i | −0.567246 | + | 0.386742i | −0.812714 | − | 0.582663i | \(-0.802011\pi\) |
0.245468 | + | 0.969405i | \(0.421058\pi\) | |||||||
\(600\) | 3.18179e8 | − | 1.53227e8i | 1.47305 | − | 0.709383i | ||||
\(601\) | 1.86308e7i | 0.0858239i | 0.999079 | + | 0.0429119i | \(0.0136635\pi\) | ||||
−0.999079 | + | 0.0429119i | \(0.986337\pi\) | |||||||
\(602\) | 2.02410e8 | + | 6.50089e7i | 0.927776 | + | 0.297977i | ||||
\(603\) | 5.41622e8 | 2.47027 | ||||||||
\(604\) | −4.52473e7 | − | 9.39570e7i | −0.205344 | − | 0.426401i | ||||
\(605\) | −6.84505e7 | − | 1.00398e8i | −0.309108 | − | 0.453378i | ||||
\(606\) | −2.78234e8 | + | 3.48895e8i | −1.25024 | + | 1.56775i | ||||
\(607\) | −1.73743e7 | + | 1.87250e7i | −0.0776857 | + | 0.0837253i | −0.770698 | − | 0.637200i | \(-0.780092\pi\) |
0.693013 | + | 0.720925i | \(0.256283\pi\) | |||||||
\(608\) | −1.22624e8 | + | 2.12392e8i | −0.545589 | + | 0.944988i | ||||
\(609\) | −1.80515e8 | + | 1.04220e8i | −0.799210 | + | 0.461424i | ||||
\(610\) | −6.89133e7 | − | 1.57290e7i | −0.303608 | − | 0.0692966i | ||||
\(611\) | 1.39244e7 | − | 3.54788e7i | 0.0610454 | − | 0.155541i | ||||
\(612\) | 254760. | + | 78583.1i | 0.00111142 | + | 0.000342827i | ||||
\(613\) | 2.78916e8 | + | 3.49750e8i | 1.21085 | + | 1.51836i | 0.792251 | + | 0.610195i | \(0.208909\pi\) |
0.418604 | + | 0.908169i | \(0.362520\pi\) | |||||||
\(614\) | 9.33021e7 | + | 6.99203e6i | 0.403076 | + | 0.0302063i | ||||
\(615\) | 4.60594e7 | − | 1.42074e7i | 0.198013 | − | 0.0610788i | ||||
\(616\) | −4.75092e8 | − | 3.23913e8i | −2.03253 | − | 1.38575i | ||||
\(617\) | −7.26686e7 | − | 1.09530e7i | −0.309379 | − | 0.0466314i | −0.00748239 | − | 0.999972i | \(-0.502382\pi\) |
−0.301897 | + | 0.953341i | \(0.597620\pi\) | |||||||
\(618\) | −7.97298e7 | − | 3.49319e8i | −0.337797 | − | 1.47998i | ||||
\(619\) | 1.06006e7 | − | 9.83590e6i | 0.0446949 | − | 0.0414708i | −0.657509 | − | 0.753447i | \(-0.728390\pi\) |
0.702204 | + | 0.711976i | \(0.252199\pi\) | |||||||
\(620\) | 2.34844e7 | − | 1.75991e6i | 0.0985381 | − | 0.00738441i | ||||
\(621\) | −1.47235e7 | + | 5.77855e6i | −0.0614804 | + | 0.0241293i | ||||
\(622\) | −1.00497e7 | − | 6.66755e7i | −0.0417621 | − | 0.277073i | ||||
\(623\) | −3.00977e7 | − | 1.44943e7i | −0.124471 | − | 0.0599421i | ||||
\(624\) | −7.72368e6 | + | 1.60384e7i | −0.0317885 | + | 0.0660095i | ||||
\(625\) | −1.98160e8 | + | 2.98678e7i | −0.811664 | + | 0.122339i | ||||
\(626\) | −1.15387e8 | − | 2.94001e8i | −0.470363 | − | 1.19846i | ||||
\(627\) | 7.69604e7 | + | 1.02697e9i | 0.312223 | + | 4.16633i | ||||
\(628\) | −2.85563e7 | − | 3.07764e7i | −0.115298 | − | 0.124262i | ||||
\(629\) | −506230. | + | 115544.i | −0.00203421 | + | 0.000464296i | ||||
\(630\) | −1.41833e7 | + | 9.40998e7i | −0.0567224 | + | 0.376329i | ||||
\(631\) | −2.28951e8 | + | 3.35809e8i | −0.911286 | + | 1.33661i | 0.0301954 | + | 0.999544i | \(0.490387\pi\) |
−0.941481 | + | 0.337066i | \(0.890565\pi\) | |||||||
\(632\) | 4.56231e7 | + | 1.47906e8i | 0.180731 | + | 0.585917i | ||||
\(633\) | −1.18059e7 | + | 1.57539e8i | −0.0465466 | + | 0.621121i | ||||
\(634\) | 1.08074e8 | − | 8.61865e7i | 0.424087 | − | 0.338198i | ||||
\(635\) | −520353. | + | 1.68694e6i | −0.00203225 | + | 0.00658839i | ||||
\(636\) | −3.04835e7 | − | 1.19639e7i | −0.118493 | − | 0.0465052i | ||||
\(637\) | 3.66744e6 | − | 1.60681e7i | 0.0141888 | − | 0.0621651i | ||||
\(638\) | 8.15636e7 | + | 1.41272e8i | 0.314076 | + | 0.543995i | ||||
\(639\) | −5.43758e7 | − | 3.13939e7i | −0.208403 | − | 0.120321i | ||||
\(640\) | 1.14744e6 | + | 1.06467e6i | 0.00437714 | + | 0.00406140i | ||||
\(641\) | 3.22212e8 | + | 2.56955e8i | 1.22340 | + | 0.975626i | 1.00000 | 0.000898002i | \(0.000285843\pi\) | |
0.223396 | + | 0.974728i | \(0.428286\pi\) | |||||||
\(642\) | 3.57926e8 | − | 2.44029e8i | 1.35266 | − | 0.922226i | ||||
\(643\) | 2.93238e8 | − | 1.41216e8i | 1.10303 | − | 0.531191i | 0.208420 | − | 0.978039i | \(-0.433168\pi\) |
0.894610 | + | 0.446849i | \(0.147454\pi\) | |||||||
\(644\) | − | 9.69570e6i | − | 0.0363013i | ||||||
\(645\) | 1.05443e8 | − | 1.46477e7i | 0.392953 | − | 0.0545870i | ||||
\(646\) | −544510. | −0.00201980 | ||||||||
\(647\) | −2.01537e8 | − | 4.18495e8i | −0.744117 | − | 1.54517i | −0.835582 | − | 0.549366i | \(-0.814869\pi\) |
0.0914650 | − | 0.995808i | \(-0.470845\pi\) | |||||||
\(648\) | −1.32327e7 | − | 1.94089e7i | −0.0486323 | − | 0.0713305i | ||||
\(649\) | 2.46305e8 | − | 3.08857e8i | 0.901030 | − | 1.12986i | ||||
\(650\) | 1.43777e7 | − | 1.54954e7i | 0.0523538 | − | 0.0564240i | ||||
\(651\) | 2.76120e8 | − | 4.78254e8i | 1.00082 | − | 1.73347i | ||||
\(652\) | 2.20314e7 | − | 1.27199e7i | 0.0794877 | − | 0.0458922i | ||||
\(653\) | 5.17646e8 | + | 1.18149e8i | 1.85906 | + | 0.424318i | 0.996642 | − | 0.0818792i | \(-0.0260922\pi\) |
0.862418 | + | 0.506198i | \(0.168949\pi\) | |||||||
\(654\) | 4.27030e7 | − | 1.08806e8i | 0.152660 | − | 0.388972i | ||||
\(655\) | −8.03677e7 | − | 2.47902e7i | −0.285995 | − | 0.0882176i | ||||
\(656\) | −3.94050e7 | − | 4.94122e7i | −0.139585 | − | 0.175034i | ||||
\(657\) | 4.77160e8 | + | 3.57582e7i | 1.68255 | + | 0.126090i | ||||
\(658\) | −4.16672e8 | + | 1.28526e8i | −1.46257 | + | 0.451143i | ||||
\(659\) | 5.18347e7 | + | 3.53403e7i | 0.181119 | + | 0.123485i | 0.650486 | − | 0.759518i | \(-0.274565\pi\) |
−0.469367 | + | 0.883003i | \(0.655518\pi\) | |||||||
\(660\) | −8.22590e7 | − | 1.23986e7i | −0.286122 | − | 0.0431260i | ||||
\(661\) | 4.30819e7 | + | 1.88754e8i | 0.149173 | + | 0.653570i | 0.993116 | + | 0.117137i | \(0.0373715\pi\) |
−0.843943 | + | 0.536433i | \(0.819771\pi\) | |||||||
\(662\) | −2.75941e8 | + | 2.56036e8i | −0.951136 | + | 0.882526i | ||||
\(663\) | 89900.0 | − | 6737.07i | 0.000308474 | − | 2.31170e-5i | ||||
\(664\) | 4.47943e8 | − | 1.75805e8i | 1.53009 | − | 0.600518i | ||||
\(665\) | 1.98242e7 | + | 1.31525e8i | 0.0674109 | + | 0.447242i | ||||
\(666\) | −3.74012e8 | − | 1.80115e8i | −1.26609 | − | 0.609715i | ||||
\(667\) | −4.13083e6 | + | 8.57776e6i | −0.0139207 | + | 0.0289065i | ||||
\(668\) | 9.34026e7 | − | 1.40782e7i | 0.313350 | − | 0.0472299i | ||||
\(669\) | −1.39972e7 | − | 3.56642e7i | −0.0467479 | − | 0.119112i | ||||
\(670\) | −6.67758e6 | − | 8.91061e7i | −0.0222021 | − | 0.296267i | ||||
\(671\) | −6.03821e8 | − | 6.50764e8i | −1.99867 | − | 2.15405i | ||||
\(672\) | −4.52899e8 | + | 1.03371e8i | −1.49243 | + | 0.340637i | ||||
\(673\) | 5.76988e7 | − | 3.82807e8i | 0.189287 | − | 1.25584i | −0.669230 | − | 0.743055i | \(-0.733376\pi\) |
0.858517 | − | 0.512784i | \(-0.171386\pi\) | |||||||
\(674\) | −1.12230e8 | + | 1.64611e8i | −0.366547 | + | 0.537626i | ||||
\(675\) | −7.95802e7 | − | 2.57993e8i | −0.258758 | − | 0.838873i | ||||
\(676\) | −9.27343e6 | + | 1.23745e8i | −0.0300193 | + | 0.400579i | ||||
\(677\) | 3.46094e8 | − | 2.76000e8i | 1.11539 | − | 0.889495i | 0.120730 | − | 0.992685i | \(-0.461476\pi\) |
0.994662 | + | 0.103190i | \(0.0329050\pi\) | |||||||
\(678\) | 9.79083e7 | − | 3.17411e8i | 0.314145 | − | 1.01843i | ||||
\(679\) | 6.65908e8 | + | 2.61349e8i | 2.12718 | + | 0.834857i | ||||
\(680\) | 33876.4 | − | 148422.i | 0.000107738 | − | 0.000472032i | ||||
\(681\) | 3.39720e8 | + | 5.88412e8i | 1.07567 | + | 1.86312i | ||||
\(682\) | −3.74286e8 | − | 2.16094e8i | −1.17991 | − | 0.681223i | ||||
\(683\) | −2.42899e8 | − | 2.25377e8i | −0.762366 | − | 0.707373i | 0.199800 | − | 0.979837i | \(-0.435971\pi\) |
−0.962166 | + | 0.272464i | \(0.912161\pi\) | |||||||
\(684\) | 2.32916e8 | + | 1.85745e8i | 0.727833 | + | 0.580428i | ||||
\(685\) | 2.82049e7 | − | 1.92298e7i | 0.0877513 | − | 0.0598278i | ||||
\(686\) | 1.13543e8 | − | 5.46796e7i | 0.351714 | − | 0.169376i | ||||
\(687\) | − | 4.53126e8i | − | 1.39749i | ||||||
\(688\) | −6.83892e7 | − | 1.21683e8i | −0.210001 | − | 0.373649i | ||||
\(689\) | −6.78443e6 | −0.0207422 | ||||||||
\(690\) | 3.07816e6 | + | 6.39187e6i | 0.00937010 | + | 0.0194572i | ||||
\(691\) | −4.11455e7 | − | 6.03493e7i | −0.124706 | − | 0.182910i | 0.758809 | − | 0.651314i | \(-0.225782\pi\) |
−0.883515 | + | 0.468403i | \(0.844829\pi\) | |||||||
\(692\) | −1.48401e8 | + | 1.86089e8i | −0.447835 | + | 0.561568i | ||||
\(693\) | −8.12913e8 | + | 8.76112e8i | −2.44256 | + | 2.63245i | ||||
\(694\) | −2.17425e8 | + | 3.76592e8i | −0.650476 | + | 1.12666i | ||||
\(695\) | −2.90999e7 | + | 1.68008e7i | −0.0866835 | + | 0.0500467i | ||||
\(696\) | 2.59905e8 | + | 5.93216e7i | 0.770879 | + | 0.175948i | ||||
\(697\) | −116935. | + | 297946.i | −0.000345340 | + | 0.000879911i | ||||
\(698\) | 3.54614e8 | + | 1.09384e8i | 1.04277 | + | 0.321653i | ||||
\(699\) | −5.69580e8 | − | 7.14230e8i | −1.66772 | − | 2.09125i | ||||
\(700\) | 1.65039e8 | + | 1.23680e7i | 0.481163 | + | 0.0360582i | ||||
\(701\) | 5.10775e8 | − | 1.57553e8i | 1.48278 | − | 0.457376i | 0.555425 | − | 0.831567i | \(-0.312556\pi\) |
0.927352 | + | 0.374190i | \(0.122079\pi\) | |||||||
\(702\) | 2.19034e7 | + | 1.49335e7i | 0.0633141 | + | 0.0431668i | ||||
\(703\) | −5.73743e8 | − | 8.64778e7i | −1.65140 | − | 0.248908i | ||||
\(704\) | 1.40637e8 | + | 6.16173e8i | 0.403072 | + | 1.76597i | ||||
\(705\) | −1.60061e8 | + | 1.48515e8i | −0.456791 | + | 0.423840i | ||||
\(706\) | −2.50251e8 | + | 1.87537e7i | −0.711149 | + | 0.0532933i | ||||
\(707\) | −6.73821e8 | + | 2.64455e8i | −1.90672 | + | 0.748331i | ||||
\(708\) | −2.77996e7 | − | 1.84438e8i | −0.0783318 | − | 0.519698i | ||||
\(709\) | −1.40939e8 | − | 6.78726e7i | −0.395451 | − | 0.190439i | 0.225581 | − | 0.974224i | \(-0.427572\pi\) |
−0.621032 | + | 0.783785i | \(0.713286\pi\) | |||||||
\(710\) | −4.49444e6 | + | 9.33281e6i | −0.0125574 | + | 0.0260758i | ||||
\(711\) | 3.18125e8 | − | 4.79496e7i | 0.885093 | − | 0.133406i | ||||
\(712\) | 1.56092e7 | + | 3.97716e7i | 0.0432455 | + | 0.110188i | ||||
\(713\) | −1.88497e6 | − | 2.51532e7i | −0.00520040 | − | 0.0693945i | ||||
\(714\) | −701532. | − | 756071.i | −0.00192731 | − | 0.00207715i | ||||
\(715\) | −1.68025e7 | + | 3.83505e6i | −0.0459679 | + | 0.0104919i | ||||
\(716\) | −1.95732e7 | + | 1.29860e8i | −0.0533240 | + | 0.353781i | ||||
\(717\) | −3.97779e8 | + | 5.83435e8i | −1.07916 | + | 1.58283i | ||||
\(718\) | −9.56615e7 | − | 3.10127e8i | −0.258442 | − | 0.837849i | ||||
\(719\) | −7.76572e6 | + | 1.03626e8i | −0.0208927 | + | 0.278794i | 0.976966 | + | 0.213393i | \(0.0684516\pi\) |
−0.997859 | + | 0.0654006i | \(0.979167\pi\) | |||||||
\(720\) | 4.88502e7 | − | 3.89567e7i | 0.130879 | − | 0.104372i | ||||
\(721\) | 1.71310e8 | − | 5.55374e8i | 0.457064 | − | 1.48177i | ||||
\(722\) | −2.96439e8 | − | 1.16344e8i | −0.787633 | − | 0.309123i | ||||
\(723\) | −1.19323e8 | + | 5.22788e8i | −0.315725 | + | 1.38328i | ||||
\(724\) | −2.70105e6 | − | 4.67835e6i | −0.00711732 | − | 0.0123276i | ||||
\(725\) | −1.40740e8 | − | 8.12563e7i | −0.369321 | − | 0.213227i | ||||
\(726\) | 7.71823e8 | + | 7.16147e8i | 2.01701 | + | 1.87151i | ||||
\(727\) | −1.86002e8 | − | 1.48332e8i | −0.484078 | − | 0.386039i | 0.350821 | − | 0.936443i | \(-0.385903\pi\) |
−0.834899 | + | 0.550403i | \(0.814474\pi\) | |||||||
\(728\) | −4.64731e7 | + | 3.16848e7i | −0.120450 | + | 0.0821215i | ||||
\(729\) | −5.68319e8 | + | 2.73688e8i | −1.46693 | + | 0.706437i | ||||
\(730\) | − | 7.89420e7i | − | 0.202927i | ||||||
\(731\) | −360511. | + | 608069.i | −0.000922926 | + | 0.00155669i | ||||
\(732\) | −4.19154e8 | −1.06866 | ||||||||
\(733\) | 1.82117e8 | + | 3.78169e8i | 0.462421 | + | 0.960228i | 0.993599 | + | 0.112967i | \(0.0360355\pi\) |
−0.531177 | + | 0.847261i | \(0.678250\pi\) | |||||||
\(734\) | −1.30759e8 | − | 1.91788e8i | −0.330661 | − | 0.484990i | ||||
\(735\) | −5.88700e7 | + | 7.38206e7i | −0.148263 | + | 0.185915i | ||||
\(736\) | −1.44321e7 | + | 1.55541e7i | −0.0361990 | + | 0.0390132i | ||||
\(737\) | 5.61115e8 | − | 9.71879e8i | 1.40168 | − | 2.42778i | ||||
\(738\) | −2.21604e8 | + | 1.27943e8i | −0.551326 | + | 0.318308i | ||||
\(739\) | 2.37806e8 | + | 5.42777e7i | 0.589236 | + | 0.134489i | 0.506735 | − | 0.862102i | \(-0.330852\pi\) |
0.0825009 | + | 0.996591i | \(0.473709\pi\) | |||||||
\(740\) | 1.71231e7 | − | 4.36290e7i | 0.0422560 | − | 0.107666i | ||||
\(741\) | 9.62629e7 | + | 2.96932e7i | 0.236594 | + | 0.0729797i | ||||
\(742\) | 4.83944e7 | + | 6.06846e7i | 0.118463 | + | 0.148548i | ||||
\(743\) | −4.96269e8 | − | 3.71902e7i | −1.20990 | − | 0.0906697i | −0.545543 | − | 0.838083i | \(-0.683677\pi\) |
−0.664360 | + | 0.747413i | \(0.731296\pi\) | |||||||
\(744\) | −6.74919e8 | + | 2.08185e8i | −1.63882 | + | 0.505511i | ||||
\(745\) | 3.02528e7 | + | 2.06260e7i | 0.0731639 | + | 0.0498823i | ||||
\(746\) | −2.68505e8 | − | 4.04706e7i | −0.646750 | − | 0.0974818i | ||||
\(747\) | −2.22564e8 | − | 9.75117e8i | −0.533941 | − | 2.33935i | ||||
\(748\) | 404938. | − | 375727.i | 0.000967572 | − | 0.000897776i | ||||
\(749\) | 7.00717e8 | − | 5.25115e7i | 1.66762 | − | 0.124971i | ||||
\(750\) | −2.32774e8 | + | 9.13572e7i | −0.551761 | + | 0.216550i | ||||
\(751\) | 8.52792e7 | + | 5.65791e8i | 0.201337 | + | 1.33578i | 0.829851 | + | 0.557985i | \(0.188425\pi\) |
−0.628514 | + | 0.777798i | \(0.716337\pi\) | |||||||
\(752\) | 2.57945e8 | + | 1.24220e8i | 0.606559 | + | 0.292104i | ||||
\(753\) | 1.63401e8 | − | 3.39306e8i | 0.382710 | − | 0.794706i | ||||
\(754\) | 1.57787e7 | − | 2.37826e6i | 0.0368093 | − | 0.00554811i | ||||
\(755\) | 4.52198e7 | + | 1.15218e8i | 0.105072 | + | 0.267719i | ||||
\(756\) | 1.55108e7 | + | 2.06978e8i | 0.0358979 | + | 0.479025i | ||||
\(757\) | −1.77710e7 | − | 1.91526e7i | −0.0409660 | − | 0.0441508i | 0.712236 | − | 0.701940i | \(-0.247682\pi\) |
−0.753202 | + | 0.657789i | \(0.771492\pi\) | |||||||
\(758\) | 3.60460e8 | − | 8.22727e7i | 0.827656 | − | 0.188907i | ||||
\(759\) | −1.32796e7 | + | 8.81045e7i | −0.0303711 | + | 0.201499i | ||||
\(760\) | 9.58298e7 | − | 1.40557e8i | 0.218303 | − | 0.320192i | ||||
\(761\) | 4.82768e7 | + | 1.56510e8i | 0.109543 | + | 0.355130i | 0.993702 | − | 0.112057i | \(-0.0357438\pi\) |
−0.884159 | + | 0.467187i | \(0.845268\pi\) | |||||||
\(762\) | 1.14313e6 | − | 1.52540e7i | 0.00258362 | − | 0.0344761i | ||||
\(763\) | 1.48233e8 | − | 1.18212e8i | 0.333712 | − | 0.266126i | ||||
\(764\) | −4.97899e7 | + | 1.61415e8i | −0.111651 | + | 0.361962i | ||||
\(765\) | −294557. | − | 115605.i | −0.000657938 | − | 0.000258222i | ||||
\(766\) | −3.70575e6 | + | 1.62360e7i | −0.00824499 | + | 0.0361237i | ||||
\(767\) | −1.93213e7 | − | 3.34656e7i | −0.0428205 | − | 0.0741672i | ||||
\(768\) | 6.24313e8 | + | 3.60447e8i | 1.37822 | + | 0.795716i | ||||
\(769\) | 2.44068e8 | + | 2.26462e8i | 0.536701 | + | 0.497985i | 0.901310 | − | 0.433175i | \(-0.142607\pi\) |
−0.364609 | + | 0.931161i | \(0.618797\pi\) | |||||||
\(770\) | 1.54158e8 | + | 1.22937e8i | 0.337671 | + | 0.269283i | ||||
\(771\) | 1.20898e9 | − | 8.24266e8i | 2.63788 | − | 1.79848i | ||||
\(772\) | −1.28137e8 | + | 6.17077e7i | −0.278499 | + | 0.134118i | ||||
\(773\) | 3.61728e8i | 0.783147i | 0.920147 | + | 0.391573i | \(0.128069\pi\) | ||||
−0.920147 | + | 0.391573i | \(0.871931\pi\) | |||||||
\(774\) | −5.28435e8 | + | 2.00372e8i | −1.13964 | + | 0.432131i | ||||
\(775\) | 4.30559e8 | 0.924971 | ||||||||
\(776\) | −3.96969e8 | − | 8.24314e8i | −0.849515 | − | 1.76404i | ||||
\(777\) | −6.19117e8 | − | 9.08078e8i | −1.31980 | − | 1.93580i | ||||
\(778\) | −2.92513e8 | + | 3.66800e8i | −0.621165 | + | 0.778916i | ||||
\(779\) | −2.43268e8 | + | 2.62181e8i | −0.514603 | + | 0.554611i | ||||
\(780\) | −4.06869e6 | + | 7.04718e6i | −0.00857375 | + | 0.0148502i | ||||
\(781\) | −1.12666e8 | + | 6.50475e7i | −0.236504 | + | 0.136546i | ||||
\(782\) | −45928.5 | − | 10482.9i | −9.60422e−5 | − | 2.19210e-5i | ||||
\(783\) | 7.44599e7 | − | 1.89721e8i | 0.155109 | − | 0.395211i | ||||
\(784\) | 1.18303e8 | + | 3.64916e7i | 0.245497 | + | 0.0757259i | ||||
\(785\) | 3.10687e7 | + | 3.89589e7i | 0.0642265 | + | 0.0805375i | ||||
\(786\) | 7.26714e8 | + | 5.44597e7i | 1.49657 | + | 0.112152i | ||||
\(787\) | −2.20161e7 | + | 6.79107e6i | −0.0451665 | + | 0.0139320i | −0.317256 | − | 0.948340i | \(-0.602761\pi\) |
0.272090 | + | 0.962272i | \(0.412285\pi\) | |||||||
\(788\) | −1.13831e8 | − | 7.76087e7i | −0.232639 | − | 0.158610i | ||||
\(789\) | 8.30655e8 | + | 1.25201e8i | 1.69118 | + | 0.254904i | ||||
\(790\) | −1.18107e7 | − | 5.17459e7i | −0.0239548 | − | 0.104953i | ||||
\(791\) | 3.94970e8 | − | 3.66479e8i | 0.798059 | − | 0.740491i | ||||
\(792\) | 1.52429e9 | − | 1.14230e8i | 3.06827 | − | 0.229935i | ||||
\(793\) | −8.08356e7 | + | 3.17256e7i | −0.162100 | + | 0.0636196i | ||||
\(794\) | 5.47645e7 | + | 3.63339e8i | 0.109405 | + | 0.725856i | ||||
\(795\) | 3.50183e7 | + | 1.68639e7i | 0.0696937 | + | 0.0335627i | ||||
\(796\) | 9.98425e7 | − | 2.07325e8i | 0.197960 | − | 0.411067i | ||||
\(797\) | −3.98724e8 | + | 6.00980e7i | −0.787585 | + | 0.118709i | −0.530506 | − | 0.847681i | \(-0.677998\pi\) |
−0.257079 | + | 0.966390i | \(0.582760\pi\) | |||||||
\(798\) | −4.21062e8 | − | 1.07285e9i | −0.828585 | − | 2.11120i | ||||
\(799\) | −108352. | − | 1.44586e6i | −0.000212421 | − | 0.00283456i | ||||
\(800\) | −2.46350e8 | − | 2.65503e8i | −0.481153 | − | 0.518560i | ||||
\(801\) | 8.65780e7 | − | 1.97609e7i | 0.168465 | − | 0.0384511i | ||||
\(802\) | −4.38810e7 | + | 2.91131e8i | −0.0850655 | + | 0.564373i | ||||
\(803\) | 5.58498e8 | − | 8.19165e8i | 1.07864 | − | 1.58207i | ||||
\(804\) | −1.56181e8 | − | 5.06326e8i | −0.300510 | − | 0.974231i | ||||
\(805\) | −859974. | + | 1.14756e7i | −0.00164853 | + | 0.0219982i | ||||
\(806\) | −3.30528e7 | + | 2.63588e7i | −0.0631253 | + | 0.0503408i | ||||
\(807\) | −1.16510e8 | + | 3.77715e8i | −0.221687 | + | 0.718693i | ||||
\(808\) | 8.61795e8 | + | 3.38230e8i | 1.63369 | + | 0.641176i | ||||
\(809\) | −4.26942e6 | + | 1.87056e7i | −0.00806350 | + | 0.0353285i | −0.978800 | − | 0.204820i | \(-0.934339\pi\) |
0.970736 | + | 0.240149i | \(0.0771962\pi\) | |||||||
\(810\) | 4.02758e6 | + | 6.97598e6i | 0.00757861 | + | 0.0131265i | ||||
\(811\) | 5.20534e8 | + | 3.00530e8i | 0.975858 | + | 0.563412i | 0.901017 | − | 0.433784i | \(-0.142822\pi\) |
0.0748409 | + | 0.997195i | \(0.476155\pi\) | |||||||
\(812\) | 9.15836e7 | + | 8.49771e7i | 0.171060 | + | 0.158721i | ||||
\(813\) | 3.53830e8 | + | 2.82170e8i | 0.658450 | + | 0.525096i | ||||
\(814\) | −7.10669e8 | + | 4.84526e8i | −1.31763 | + | 0.898347i | ||||
\(815\) | −2.72040e7 | + | 1.31007e7i | −0.0502527 | + | 0.0242004i | ||||
\(816\) | 677196.i | 0.00124636i | ||||||||
\(817\) | −6.23238e8 | + | 4.85328e8i | −1.14285 | + | 0.889957i | ||||
\(818\) | −2.98507e8 | −0.545375 | ||||||||
\(819\) | 5.07249e7 | + | 1.05331e8i | 0.0923357 | + | 0.191737i | ||||
\(820\) | −1.62746e7 | − | 2.38705e7i | −0.0295168 | − | 0.0432932i | ||||
\(821\) | −4.27344e8 | + | 5.35873e8i | −0.772234 | + | 0.968350i | −0.999986 | − | 0.00536896i | \(-0.998291\pi\) |
0.227752 | + | 0.973719i | \(0.426862\pi\) | |||||||
\(822\) | −2.01187e8 | + | 2.16828e8i | −0.362231 | + | 0.390392i | ||||
\(823\) | 8.65754e7 | − | 1.49953e8i | 0.155308 | − | 0.269002i | −0.777863 | − | 0.628434i | \(-0.783696\pi\) |
0.933171 | + | 0.359432i | \(0.117030\pi\) | |||||||
\(824\) | −6.43742e8 | + | 3.71665e8i | −1.15062 | + | 0.664309i | ||||
\(825\) | −1.48276e9 | − | 3.38431e8i | −2.64064 | − | 0.602710i | ||||
\(826\) | −1.61517e8 | + | 4.11538e8i | −0.286601 | + | 0.730248i | ||||
\(827\) | −5.03130e8 | − | 1.55195e8i | −0.889535 | − | 0.274385i | −0.183887 | − | 0.982947i | \(-0.558868\pi\) |
−0.705649 | + | 0.708562i | \(0.749344\pi\) | |||||||
\(828\) | 1.60702e7 | + | 2.01514e7i | 0.0283093 | + | 0.0354988i | ||||
\(829\) | 6.74323e8 | + | 5.05335e7i | 1.18360 | + | 0.0886984i | 0.651947 | − | 0.758265i | \(-0.273953\pi\) |
0.531651 | + | 0.846963i | \(0.321572\pi\) | |||||||
\(830\) | −1.57680e8 | + | 4.86377e7i | −0.275766 | + | 0.0850627i | ||||
\(831\) | −3.72952e8 | − | 2.54275e8i | −0.649906 | − | 0.443098i | ||||
\(832\) | 6.11329e7 | + | 9.21430e6i | 0.106146 | + | 0.0159990i | ||||
\(833\) | −139517. | − | 611264.i | −0.000241375 | − | 0.00105753i | ||||
\(834\) | 2.13431e8 | − | 1.98035e8i | 0.367924 | − | 0.341384i | ||||
\(835\) | −1.11797e8 | + | 8.37805e6i | −0.192031 | + | 0.0143908i | ||||
\(836\) | 5.74597e8 | − | 2.25513e8i | 0.983433 | − | 0.385969i | ||||
\(837\) | 8.04784e7 | + | 5.33939e8i | 0.137247 | + | 0.910575i | ||||
\(838\) | −3.70423e7 | − | 1.78386e7i | −0.0629457 | − | 0.0303130i | ||||
\(839\) | −9.14119e7 | + | 1.89819e8i | −0.154781 | + | 0.321405i | −0.963911 | − | 0.266223i | \(-0.914224\pi\) |
0.809131 | + | 0.587629i | \(0.199938\pi\) | |||||||
\(840\) | 3.18632e8 | − | 4.80261e7i | 0.537591 | − | 0.0810288i | ||||
\(841\) | 1.72494e8 | + | 4.39507e8i | 0.289992 | + | 0.738887i | ||||
\(842\) | −1.45682e7 | − | 1.94399e8i | −0.0244044 | − | 0.325655i | ||||
\(843\) | 4.55235e8 | + | 4.90626e8i | 0.759893 | + | 0.818970i | ||||
\(844\) | 9.23160e7 | − | 2.10705e7i | 0.153550 | − | 0.0350468i | ||||
\(845\) | 2.19515e7 | − | 1.45639e8i | 0.0363827 | − | 0.241383i | ||||
\(846\) | 6.52977e8 | − | 9.57741e8i | 1.07842 | − | 1.58175i | ||||
\(847\) | 5.03404e8 | + | 1.63199e9i | 0.828450 | + | 2.68577i | ||||
\(848\) | 3.80844e6 | − | 5.08202e7i | 0.00624540 | − | 0.0833390i | ||||
\(849\) | 1.51655e8 | − | 1.20941e8i | 0.247819 | − | 0.197629i | ||||
\(850\) | 237025. | − | 768417.i | 0.000385956 | − | 0.00125124i | ||||
\(851\) | −4.67294e7 | − | 1.83399e7i | −0.0758231 | − | 0.0297584i | ||||
\(852\) | −1.36683e7 | + | 5.98850e7i | −0.0221003 | + | 0.0968275i | ||||
\(853\) | 3.17937e8 | + | 5.50683e8i | 0.512264 | + | 0.887268i | 0.999899 | + | 0.0142199i | \(0.00452650\pi\) |
−0.487635 | + | 0.873048i | \(0.662140\pi\) | |||||||
\(854\) | 8.60389e8 | + | 4.96746e8i | 1.38141 | + | 0.797555i | ||||
\(855\) | −2.59198e8 | − | 2.40501e8i | −0.414700 | − | 0.384785i | ||||
\(856\) | −7.02638e8 | − | 5.60335e8i | −1.12024 | − | 0.893361i | ||||
\(857\) | 1.03034e8 | − | 7.02474e7i | 0.163696 | − | 0.111606i | −0.478701 | − | 0.877978i | \(-0.658892\pi\) |
0.642397 | + | 0.766372i | \(0.277940\pi\) | |||||||
\(858\) | 1.34546e8 | − | 6.47941e7i | 0.213015 | − | 0.102583i | ||||
\(859\) | − | 3.28060e8i | − | 0.517576i | −0.965934 | − | 0.258788i | \(-0.916677\pi\) | ||
0.965934 | − | 0.258788i | \(-0.0833231\pi\) | |||||||
\(860\) | −2.70181e7 | − | 5.78049e7i | −0.0424776 | − | 0.0908802i | ||||
\(861\) | −6.77467e8 | −1.06140 | ||||||||
\(862\) | −1.81481e8 | − | 3.76849e8i | −0.283341 | − | 0.588364i | ||||
\(863\) | 1.18545e8 | + | 1.73873e8i | 0.184438 | + | 0.270520i | 0.907311 | − | 0.420460i | \(-0.138131\pi\) |
−0.722873 | + | 0.690981i | \(0.757179\pi\) | |||||||
\(864\) | 2.83205e8 | − | 3.55127e8i | 0.439095 | − | 0.550608i | ||||
\(865\) | 1.92149e8 | − | 2.07087e8i | 0.296885 | − | 0.319966i | ||||
\(866\) | 4.39761e8 | − | 7.61688e8i | 0.677115 | − | 1.17280i | ||||
\(867\) | −9.06879e8 | + | 5.23587e8i | −1.39153 | + | 0.803399i | ||||
\(868\) | −3.22702e8 | − | 7.36546e7i | −0.493449 | − | 0.112626i | ||||
\(869\) | 2.43534e8 | − | 6.20515e8i | 0.371108 | − | 0.945568i | ||||
\(870\) | −8.73545e7 | − | 2.69453e7i | −0.132656 | − | 0.0409190i | ||||
\(871\) | −6.84438e7 | − | 8.58258e7i | −0.103581 | − | 0.129886i | ||||
\(872\) | −2.41811e8 | − | 1.81212e7i | −0.364692 | − | 0.0273299i | ||||
\(873\) | −1.81718e9 | + | 5.60527e8i | −2.73122 | + | 0.842469i | ||||
\(874\) | −4.34946e7 | − | 2.96541e7i | −0.0651479 | − | 0.0444171i | ||||
\(875\) | −4.01087e8 | − | 6.04541e7i | −0.598707 | − | 0.0902405i | ||||
\(876\) | −1.04165e8 | − | 4.56376e8i | −0.154956 | − | 0.678908i | ||||
\(877\) | −6.05450e7 | + | 5.61775e7i | −0.0897592 | + | 0.0832844i | −0.723776 | − | 0.690035i | \(-0.757595\pi\) |
0.634017 | + | 0.773319i | \(0.281405\pi\) | |||||||
\(878\) | 7.77017e8 | − | 5.82294e7i | 1.14801 | − | 0.0860317i | ||||
\(879\) | −9.32982e8 | + | 3.66169e8i | −1.37375 | + | 0.539156i | ||||
\(880\) | −1.92952e7 | − | 1.28015e8i | −0.0283140 | − | 0.187851i | ||||
\(881\) | 1.77701e8 | + | 8.55764e7i | 0.259874 | + | 0.125149i | 0.559285 | − | 0.828976i | \(-0.311076\pi\) |
−0.299411 | + | 0.954124i | \(0.596790\pi\) | |||||||
\(882\) | 2.17485e8 | − | 4.51613e8i | 0.316975 | − | 0.658204i | ||||
\(883\) | −5.52098e7 | + | 8.32153e6i | −0.0801925 | + | 0.0120871i | −0.189016 | − | 0.981974i | \(-0.560530\pi\) |
0.108823 | + | 0.994061i | \(0.465292\pi\) | |||||||
\(884\) | −19741.3 | − | 50299.9i | −2.85771e−5 | − | 7.28133e-5i | ||||
\(885\) | 1.65438e7 | + | 2.20761e8i | 0.0238674 | + | 0.318488i | ||||
\(886\) | 3.02826e8 | + | 3.26369e8i | 0.435404 | + | 0.469254i | ||||
\(887\) | 9.26293e8 | − | 2.11420e8i | 1.32733 | − | 0.302953i | 0.500659 | − | 0.865645i | \(-0.333091\pi\) |
0.826667 | + | 0.562691i | \(0.190234\pi\) | |||||||
\(888\) | −2.09501e8 | + | 1.38995e9i | −0.299190 | + | 1.98500i | ||||
\(889\) | 1.39774e7 | − | 2.05010e7i | 0.0198939 | − | 0.0291790i | ||||
\(890\) | −4.31841e6 | − | 1.39999e7i | −0.00612568 | − | 0.0198590i | ||||
\(891\) | −7.56011e6 | + | 1.00883e8i | −0.0106880 | + | 0.142621i | ||||
\(892\) | −1.79538e7 | + | 1.43177e7i | −0.0252966 | + | 0.0201733i | ||||
\(893\) | 4.77554e8 | − | 1.54819e9i | 0.670608 | − | 2.17406i | ||||
\(894\) | −2.95333e8 | − | 1.15910e8i | −0.413333 | − | 0.162221i | ||||
\(895\) | 3.46843e7 | − | 1.51962e8i | 0.0483798 | − | 0.211966i | ||||
\(896\) | −1.10002e7 | − | 1.90529e7i | −0.0152924 | − | 0.0264872i | ||||
\(897\) | 7.54797e6 | + | 4.35782e6i | 0.0104581 | + | 0.00603798i | ||||
\(898\) | −2.94878e8 | − | 2.73607e8i | −0.407206 | − | 0.377832i | ||||
\(899\) | 2.54113e8 | + | 2.02648e8i | 0.349742 | + | 0.278910i | ||||
\(900\) | −3.63513e8 | + | 2.47839e8i | −0.498646 | + | 0.339971i | ||||
\(901\) | −232534. | + | 111983.i | −0.000317916 | + | 0.000153100i | ||||
\(902\) | 5.30191e8i | 0.722459i | ||||||||
\(903\) | −1.47686e9 | − | 2.40104e8i | −2.00574 | − | 0.326089i | ||||
\(904\) | −6.89112e8 | −0.932791 | ||||||||
\(905\) | 2.78193e6 | + | 5.77673e6i | 0.00375319 | + | 0.00779357i | ||||
\(906\) | −6.04153e8 | − | 8.86130e8i | −0.812386 | − | 1.19155i | ||||
\(907\) | 3.93143e8 | − | 4.92986e8i | 0.526901 | − | 0.660713i | −0.445157 | − | 0.895452i | \(-0.646852\pi\) |
0.972058 | + | 0.234739i | \(0.0754237\pi\) | |||||||
\(908\) | 2.76994e8 | − | 2.98529e8i | 0.370010 | − | 0.398776i | ||||
\(909\) | 9.62134e8 | − | 1.66646e9i | 1.28098 | − | 2.21873i | ||||
\(910\) | 1.67035e7 | − | 9.64374e6i | 0.0221657 | − | 0.0127974i | ||||
\(911\) | −5.20442e8 | − | 1.18788e8i | −0.688363 | − | 0.157114i | −0.135988 | − | 0.990710i | \(-0.543421\pi\) |
−0.552375 | + | 0.833596i | \(0.686278\pi\) | |||||||
\(912\) | −2.76460e8 | + | 7.04409e8i | −0.364458 | + | 0.928625i | ||||
\(913\) | −1.98031e9 | − | 6.10845e8i | −2.60208 | − | 0.802637i | ||||
\(914\) | −8.24770e7 | − | 1.03423e8i | −0.108018 | − | 0.135450i | ||||
\(915\) | 4.96098e8 | + | 3.71774e7i | 0.647596 | + | 0.0485306i | ||||
\(916\) | −2.59528e8 | + | 8.00537e7i | −0.337674 | + | 0.104159i | ||||
\(917\) | 9.76691e8 | + | 6.65896e8i | 1.26663 | + | 0.863572i | ||||
\(918\) | 997223. | + | 150307.i | 0.00128903 | + | 0.000194290i | ||||
\(919\) | 2.28233e8 | + | 9.99953e8i | 0.294057 | + | 1.28835i | 0.878824 | + | 0.477146i | \(0.158329\pi\) |
−0.584767 | + | 0.811201i | \(0.698814\pi\) | |||||||
\(920\) | 1.07891e7 | − | 1.00108e7i | 0.0138555 | − | 0.0128560i | ||||
\(921\) | −6.56666e8 | + | 4.92103e7i | −0.840555 | + | 0.0629909i | ||||
\(922\) | 1.89438e8 | − | 7.43491e7i | 0.241699 | − | 0.0948600i | ||||
\(923\) | 1.89668e6 | + | 1.25836e7i | 0.00241206 | + | 0.0160030i | ||||
\(924\) | 1.05343e9 | + | 5.07304e8i | 1.33533 | + | 0.643062i | ||||
\(925\) | 3.71789e8 | − | 7.72027e8i | 0.469754 | − | 0.975455i | ||||
\(926\) | −4.13300e8 | + | 6.22949e7i | −0.520514 | + | 0.0784548i | ||||
\(927\) | 5.64459e8 | + | 1.43822e9i | 0.708587 | + | 1.80545i | ||||
\(928\) | −2.04320e7 | − | 2.72645e8i | −0.0255662 | − | 0.341157i | ||||
\(929\) | 8.76252e7 | + | 9.44376e7i | 0.109290 | + | 0.117787i | 0.785327 | − | 0.619081i | \(-0.212495\pi\) |
−0.676037 | + | 0.736868i | \(0.736304\pi\) | |||||||
\(930\) | 2.36124e8 | − | 5.38938e7i | 0.293556 | − | 0.0670023i | ||||
\(931\) | 1.04420e8 | − | 6.92784e8i | 0.129401 | − | 0.858517i | ||||
\(932\) | −3.08447e8 | + | 4.52409e8i | −0.381007 | + | 0.558835i | ||||
\(933\) | 1.39881e8 | + | 4.53483e8i | 0.172232 | + | 0.558362i | ||||
\(934\) | 1.93734e7 | − | 2.58520e8i | 0.0237775 | − | 0.317288i | ||||
\(935\) | −512598. | + | 408784.i | −0.000627108 | + | 0.000500102i | ||||
\(936\) | 4.40727e7 | − | 1.42880e8i | 0.0537454 | − | 0.174238i | ||||
\(937\) | 1.26999e8 | + | 4.98436e7i | 0.154377 | + | 0.0605886i | 0.441271 | − | 0.897374i | \(-0.354528\pi\) |
−0.286894 | + | 0.957962i | \(0.592623\pi\) | |||||||
\(938\) | −2.79465e8 | + | 1.22442e9i | −0.338625 | + | 1.48362i | ||||
\(939\) | 1.11143e9 | + | 1.92505e9i | 1.34241 | + | 2.32512i | ||||
\(940\) | 1.13340e8 | + | 6.54367e7i | 0.136458 | + | 0.0787839i | ||||
\(941\) | −8.06928e8 | − | 7.48719e8i | −0.968424 | − | 0.898566i | 0.0264537 | − | 0.999650i | \(-0.491579\pi\) |
−0.994878 | + | 0.101084i | \(0.967769\pi\) | |||||||
\(942\) | −3.37574e8 | − | 2.69206e8i | −0.403846 | − | 0.322057i | ||||
\(943\) | −2.55668e7 | + | 1.74311e7i | −0.0304888 | + | 0.0207869i | ||||
\(944\) | 2.61527e8 | − | 1.25945e8i | 0.310885 | − | 0.149714i | ||||
\(945\) | − | 2.46349e8i | − | 0.291914i | ||||||
\(946\) | −1.87908e8 | + | 1.15580e9i | −0.221958 | + | 1.36524i | ||||
\(947\) | 3.06063e7 | 0.0360380 | 0.0180190 | − | 0.999838i | \(-0.494264\pi\) | ||||
0.0180190 | + | 0.999838i | \(0.494264\pi\) | |||||||
\(948\) | −1.36559e8 | − | 2.83567e8i | −0.160285 | − | 0.332836i | ||||
\(949\) | −5.46317e7 | − | 8.01299e7i | −0.0639213 | − | 0.0937554i | ||||
\(950\) | 5.60250e8 | − | 7.02531e8i | 0.653448 | − | 0.819398i | ||||
\(951\) | −6.61732e8 | + | 7.13178e8i | −0.769380 | + | 0.829194i | ||||
\(952\) | −1.06987e6 | + | 1.85306e6i | −0.00123999 | + | 0.00214773i | ||||
\(953\) | −3.66305e7 | + | 2.11487e7i | −0.0423218 | + | 0.0244345i | −0.521012 | − | 0.853550i | \(-0.674445\pi\) |
0.478690 | + | 0.877984i | \(0.341112\pi\) | |||||||
\(954\) | −2.01164e8 | − | 4.59143e7i | −0.231689 | − | 0.0528814i | ||||
\(955\) | 7.32468e7 | − | 1.86630e8i | 0.0840966 | − | 0.214275i | ||||
\(956\) | 4.04437e8 | + | 1.24752e8i | 0.462890 | + | 0.142783i | ||||
\(957\) | −7.15829e8 | − | 8.97621e8i | −0.816720 | − | 1.02413i | ||||
\(958\) | 7.62046e8 | + | 5.71074e7i | 0.866732 | + | 0.0649526i | ||||
\(959\) | −4.58477e8 | + | 1.41421e8i | −0.519830 | + | 0.160346i | ||||
\(960\) | −2.92638e8 | − | 1.99517e8i | −0.330763 | − | 0.225510i | ||||
\(961\) | 2.60974e7 | + | 3.93355e6i | 0.0294054 | + | 0.00443215i | ||||
\(962\) | 1.87222e7 | + | 8.20272e7i | 0.0210296 | + | 0.0921367i | ||||
\(963\) | −1.36932e9 | + | 1.27055e9i | −1.53330 | + | 1.42269i | ||||
\(964\) | 3.20507e8 | − | 2.40187e7i | 0.357772 | − | 0.0268113i | ||||
\(965\) | 1.57133e8 | − | 6.16701e7i | 0.174858 | − | 0.0686267i | ||||
\(966\) | −1.48614e7 | − | 9.85993e7i | −0.0164865 | − | 0.109381i | ||||
\(967\) | −1.30116e9 | − | 6.26604e8i | −1.43897 | − | 0.692969i | −0.458324 | − | 0.888785i | \(-0.651550\pi\) |
−0.980641 | + | 0.195816i | \(0.937264\pi\) | |||||||
\(968\) | 9.47738e8 | − | 1.96800e9i | 1.04487 | − | 2.16969i | ||||
\(969\) | 3.78949e6 | − | 571174.i | 0.00416495 | − | 0.000627765i | ||||
\(970\) | 1.14620e8 | + | 2.92048e8i | 0.125587 | + | 0.319991i | ||||
\(971\) | 3.78621e7 | + | 5.05234e8i | 0.0413568 | + | 0.551868i | 0.978946 | + | 0.204122i | \(0.0654338\pi\) |
−0.937589 | + | 0.347746i | \(0.886947\pi\) | |||||||
\(972\) | 2.69743e8 | + | 2.90714e8i | 0.293733 | + | 0.316568i | ||||
\(973\) | 4.60433e8 | − | 1.05091e8i | 0.499836 | − | 0.114084i | ||||
\(974\) | 2.08996e8 | − | 1.38660e9i | 0.226184 | − | 1.50063i | ||||
\(975\) | −8.38065e7 | + | 1.22922e8i | −0.0904199 | + | 0.132622i | ||||
\(976\) | −1.92270e8 | − | 6.23325e8i | −0.206806 | − | 0.670448i | ||||
\(977\) | 3.33065e7 | − | 4.44444e8i | 0.0357145 | − | 0.476578i | −0.950458 | − | 0.310854i | \(-0.899385\pi\) |
0.986172 | − | 0.165724i | \(-0.0529960\pi\) | |||||||
\(978\) | 2.04549e8 | − | 1.63122e8i | 0.218666 | − | 0.174380i | ||||
\(979\) | 5.42353e7 | − | 1.75827e8i | 0.0578008 | − | 0.187386i | ||||
\(980\) | 5.26813e7 | + | 2.06759e7i | 0.0559729 | + | 0.0219677i | ||||
\(981\) | −1.12154e8 | + | 4.91379e8i | −0.118798 | + | 0.520487i | ||||
\(982\) | −2.04484e8 | − | 3.54177e8i | −0.215936 | − | 0.374012i | ||||
\(983\) | 6.20173e8 | + | 3.58057e8i | 0.652909 | + | 0.376957i | 0.789570 | − | 0.613661i | \(-0.210304\pi\) |
−0.136661 | + | 0.990618i | \(0.543637\pi\) | |||||||
\(984\) | 6.35159e8 | + | 5.89341e8i | 0.666649 | + | 0.618560i | ||||
\(985\) | 1.27844e8 | + | 1.01952e8i | 0.133774 | + | 0.106681i | ||||
\(986\) | 501556. | − | 341955.i | 0.000523225 | − | 0.000356729i | ||||
\(987\) | 2.76499e9 | − | 1.33155e9i | 2.87569 | − | 1.38486i | ||||
\(988\) | − | 6.03804e7i | − | 0.0626073i | ||||||
\(989\) | −6.19126e7 | + | 2.89381e7i | −0.0640015 | + | 0.0299144i | ||||
\(990\) | −5.24161e8 | −0.540205 | ||||||||
\(991\) | 4.73967e8 | + | 9.84202e8i | 0.486998 | + | 1.01126i | 0.989208 | + | 0.146516i | \(0.0468059\pi\) |
−0.502211 | + | 0.864745i | \(0.667480\pi\) | |||||||
\(992\) | 4.08052e8 | + | 5.98502e8i | 0.418004 | + | 0.613099i | ||||
\(993\) | 1.65183e9 | − | 2.07133e9i | 1.68701 | − | 2.11544i | ||||
\(994\) | 9.90274e7 | − | 1.06726e8i | 0.100832 | − | 0.108671i | ||||
\(995\) | −1.36560e8 | + | 2.36528e8i | −0.138629 | + | 0.240112i | ||||
\(996\) | −8.47393e8 | + | 4.89243e8i | −0.857644 | + | 0.495161i | ||||
\(997\) | −1.19555e9 | − | 2.72876e8i | −1.20637 | − | 0.275347i | −0.428367 | − | 0.903605i | \(-0.640911\pi\) |
−0.778005 | + | 0.628258i | \(0.783768\pi\) | |||||||
\(998\) | 3.30405e7 | − | 8.41858e7i | 0.0332395 | − | 0.0846929i | ||||
\(999\) | 1.02689e9 | + | 3.16753e8i | 1.02998 | + | 0.317705i |
(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.12.8 | ✓ | 252 | |
43.18 | odd | 42 | inner | 43.7.h.a.18.8 | yes | 252 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.7.h.a.12.8 | ✓ | 252 | 1.1 | even | 1 | trivial | |
43.7.h.a.18.8 | yes | 252 | 43.18 | odd | 42 | inner |