Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [11,6,Mod(3,11)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(11, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([8]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("11.3");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 11 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 11.c (of order \(5\), degree \(4\), 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: | \(1.76422201794\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{5})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 5 x^{15} + 86 x^{14} - 146 x^{13} + 7205 x^{12} - 23732 x^{11} + 774165 x^{10} + \cdots + 393784336 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 2^{4} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 4.4 | ||
Root | \(-2.13151 + 6.56011i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 11.4 |
Dual form | 11.6.c.a.3.4 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/11\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 6.38938 | + | 4.64216i | 1.12949 | + | 0.820625i | 0.985621 | − | 0.168971i | \(-0.0540445\pi\) |
0.143873 | + | 0.989596i | \(0.454044\pi\) | |||||||
\(3\) | 3.63629 | − | 11.1914i | 0.233268 | − | 0.717925i | −0.764078 | − | 0.645124i | \(-0.776806\pi\) |
0.997346 | − | 0.0728019i | \(-0.0231941\pi\) | |||||||
\(4\) | 9.38602 | + | 28.8872i | 0.293313 | + | 0.902725i | ||||
\(5\) | −51.9930 | + | 37.7751i | −0.930078 | + | 0.675741i | −0.946012 | − | 0.324132i | \(-0.894928\pi\) |
0.0159338 | + | 0.999873i | \(0.494928\pi\) | |||||||
\(6\) | 75.1856 | − | 54.6256i | 0.852622 | − | 0.619466i | ||||
\(7\) | −33.5385 | − | 103.221i | −0.258701 | − | 0.796200i | −0.993078 | − | 0.117458i | \(-0.962525\pi\) |
0.734377 | − | 0.678742i | \(-0.237475\pi\) | |||||||
\(8\) | 3.96879 | − | 12.2147i | 0.0219247 | − | 0.0674772i | ||||
\(9\) | 84.5674 | + | 61.4418i | 0.348014 | + | 0.252847i | ||||
\(10\) | −507.561 | −1.60505 | ||||||||
\(11\) | −398.317 | − | 48.9383i | −0.992537 | − | 0.121946i | ||||
\(12\) | 357.417 | 0.716510 | ||||||||
\(13\) | 830.047 | + | 603.064i | 1.36221 | + | 0.989704i | 0.998301 | + | 0.0582693i | \(0.0185582\pi\) |
0.363909 | + | 0.931434i | \(0.381442\pi\) | |||||||
\(14\) | 264.877 | − | 815.208i | 0.361180 | − | 1.11160i | ||||
\(15\) | 233.693 | + | 719.233i | 0.268174 | + | 0.825356i | ||||
\(16\) | 868.394 | − | 630.925i | 0.848041 | − | 0.616138i | ||||
\(17\) | −1047.81 | + | 761.277i | −0.879346 | + | 0.638882i | −0.933078 | − | 0.359673i | \(-0.882888\pi\) |
0.0537327 | + | 0.998555i | \(0.482888\pi\) | |||||||
\(18\) | 255.111 | + | 785.150i | 0.185587 | + | 0.571178i | ||||
\(19\) | 105.257 | − | 323.946i | 0.0668906 | − | 0.205868i | −0.912024 | − | 0.410136i | \(-0.865481\pi\) |
0.978915 | + | 0.204268i | \(0.0654813\pi\) | |||||||
\(20\) | −1579.22 | − | 1147.37i | −0.882813 | − | 0.641401i | ||||
\(21\) | −1277.14 | −0.631959 | ||||||||
\(22\) | −2317.82 | − | 2161.73i | −1.02099 | − | 0.952238i | ||||
\(23\) | 817.577 | 0.322262 | 0.161131 | − | 0.986933i | \(-0.448486\pi\) | ||||
0.161131 | + | 0.986933i | \(0.448486\pi\) | |||||||
\(24\) | −122.267 | − | 88.8322i | −0.0433293 | − | 0.0314806i | ||||
\(25\) | 310.631 | − | 956.025i | 0.0994021 | − | 0.305928i | ||||
\(26\) | 2503.97 | + | 7706.41i | 0.726432 | + | 2.23573i | ||||
\(27\) | 3308.47 | − | 2403.75i | 0.873410 | − | 0.634569i | ||||
\(28\) | 2666.97 | − | 1937.66i | 0.642869 | − | 0.467072i | ||||
\(29\) | −1222.58 | − | 3762.70i | −0.269948 | − | 0.830816i | −0.990512 | − | 0.137427i | \(-0.956117\pi\) |
0.720563 | − | 0.693389i | \(-0.243883\pi\) | |||||||
\(30\) | −1845.64 | + | 5680.29i | −0.374406 | + | 1.15230i | ||||
\(31\) | −3173.87 | − | 2305.95i | −0.593178 | − | 0.430969i | 0.250273 | − | 0.968175i | \(-0.419480\pi\) |
−0.843451 | + | 0.537206i | \(0.819480\pi\) | |||||||
\(32\) | 8066.37 | 1.39253 | ||||||||
\(33\) | −1996.08 | + | 4279.75i | −0.319075 | + | 0.684121i | ||||
\(34\) | −10228.8 | −1.51750 | ||||||||
\(35\) | 5642.94 | + | 4099.83i | 0.778637 | + | 0.565713i | ||||
\(36\) | −981.131 | + | 3019.61i | −0.126174 | + | 0.388324i | ||||
\(37\) | −3790.45 | − | 11665.8i | −0.455183 | − | 1.40091i | −0.870920 | − | 0.491425i | \(-0.836476\pi\) |
0.415736 | − | 0.909485i | \(-0.363524\pi\) | |||||||
\(38\) | 2176.33 | − | 1581.20i | 0.244493 | − | 0.177635i | ||||
\(39\) | 9767.39 | − | 7096.43i | 1.02829 | − | 0.747099i | ||||
\(40\) | 255.061 | + | 784.998i | 0.0252055 | + | 0.0775745i | ||||
\(41\) | −4315.18 | + | 13280.8i | −0.400903 | + | 1.23385i | 0.523364 | + | 0.852109i | \(0.324677\pi\) |
−0.924268 | + | 0.381745i | \(0.875323\pi\) | |||||||
\(42\) | −8160.10 | − | 5928.66i | −0.713793 | − | 0.518601i | ||||
\(43\) | −691.044 | −0.0569947 | −0.0284974 | − | 0.999594i | \(-0.509072\pi\) | ||||
−0.0284974 | + | 0.999594i | \(0.509072\pi\) | |||||||
\(44\) | −2324.92 | − | 11965.6i | −0.181041 | − | 0.931756i | ||||
\(45\) | −6717.88 | −0.494539 | ||||||||
\(46\) | 5223.81 | + | 3795.32i | 0.363993 | + | 0.264456i | ||||
\(47\) | −4530.99 | + | 13944.9i | −0.299191 | + | 0.920814i | 0.682591 | + | 0.730801i | \(0.260853\pi\) |
−0.981781 | + | 0.190013i | \(0.939147\pi\) | |||||||
\(48\) | −3903.17 | − | 12012.7i | −0.244520 | − | 0.752555i | ||||
\(49\) | 4067.45 | − | 2955.17i | 0.242009 | − | 0.175830i | ||||
\(50\) | 6422.76 | − | 4666.41i | 0.363326 | − | 0.263972i | ||||
\(51\) | 4709.59 | + | 14494.6i | 0.253546 | + | 0.780335i | ||||
\(52\) | −9630.00 | + | 29638.1i | −0.493876 | + | 1.51999i | ||||
\(53\) | −1158.68 | − | 841.828i | −0.0566595 | − | 0.0411655i | 0.559095 | − | 0.829104i | \(-0.311149\pi\) |
−0.615754 | + | 0.787938i | \(0.711149\pi\) | |||||||
\(54\) | 32297.6 | 1.50725 | ||||||||
\(55\) | 22558.3 | − | 12502.0i | 1.00554 | − | 0.557279i | ||||
\(56\) | −1393.92 | −0.0593973 | ||||||||
\(57\) | −3242.65 | − | 2355.93i | −0.132195 | − | 0.0960449i | ||||
\(58\) | 9655.55 | − | 29716.7i | 0.376883 | − | 1.15993i | ||||
\(59\) | 2260.89 | + | 6958.29i | 0.0845568 | + | 0.260239i | 0.984392 | − | 0.175992i | \(-0.0563132\pi\) |
−0.899835 | + | 0.436231i | \(0.856313\pi\) | |||||||
\(60\) | −18583.2 | + | 13501.5i | −0.666410 | + | 0.484175i | ||||
\(61\) | −14069.1 | + | 10221.8i | −0.484107 | + | 0.351724i | −0.802914 | − | 0.596095i | \(-0.796718\pi\) |
0.318807 | + | 0.947820i | \(0.396718\pi\) | |||||||
\(62\) | −9574.48 | − | 29467.2i | −0.316327 | − | 0.973554i | ||||
\(63\) | 3505.81 | − | 10789.8i | 0.111285 | − | 0.342500i | ||||
\(64\) | 23750.5 | + | 17255.7i | 0.724807 | + | 0.526603i | ||||
\(65\) | −65937.4 | −1.93575 | ||||||||
\(66\) | −32621.0 | + | 18078.8i | −0.921800 | + | 0.510870i | ||||
\(67\) | −16996.6 | −0.462566 | −0.231283 | − | 0.972886i | \(-0.574292\pi\) | ||||
−0.231283 | + | 0.972886i | \(0.574292\pi\) | |||||||
\(68\) | −31825.9 | − | 23122.9i | −0.834658 | − | 0.606415i | ||||
\(69\) | 2972.95 | − | 9149.79i | 0.0751735 | − | 0.231360i | ||||
\(70\) | 17022.8 | + | 52390.8i | 0.415227 | + | 1.27794i | ||||
\(71\) | 57494.7 | − | 41772.4i | 1.35357 | − | 0.983429i | 0.354749 | − | 0.934961i | \(-0.384566\pi\) |
0.998825 | − | 0.0484678i | \(-0.0154338\pi\) | |||||||
\(72\) | 1086.12 | − | 789.114i | 0.0246915 | − | 0.0179394i | ||||
\(73\) | 10940.8 | + | 33672.4i | 0.240294 | + | 0.739549i | 0.996375 | + | 0.0850710i | \(0.0271117\pi\) |
−0.756081 | + | 0.654478i | \(0.772888\pi\) | |||||||
\(74\) | 29935.9 | − | 92133.1i | 0.635495 | − | 1.95585i | ||||
\(75\) | −9569.67 | − | 6952.77i | −0.196446 | − | 0.142727i | ||||
\(76\) | 10345.8 | 0.205462 | ||||||||
\(77\) | 8307.48 | + | 42755.9i | 0.159677 | + | 0.821805i | ||||
\(78\) | 95350.3 | 1.77454 | ||||||||
\(79\) | 54310.8 | + | 39459.1i | 0.979081 | + | 0.711344i | 0.957503 | − | 0.288423i | \(-0.0931309\pi\) |
0.0215782 | + | 0.999767i | \(0.493131\pi\) | |||||||
\(80\) | −21317.1 | + | 65607.3i | −0.372395 | + | 1.14611i | ||||
\(81\) | −7021.24 | − | 21609.1i | −0.118905 | − | 0.365953i | ||||
\(82\) | −89222.8 | + | 64824.1i | −1.46535 | + | 1.06464i | ||||
\(83\) | −44144.8 | + | 32073.0i | −0.703370 | + | 0.511028i | −0.881028 | − | 0.473064i | \(-0.843148\pi\) |
0.177658 | + | 0.984092i | \(0.443148\pi\) | |||||||
\(84\) | −11987.2 | − | 36892.9i | −0.185362 | − | 0.570485i | ||||
\(85\) | 25721.3 | − | 79162.1i | 0.386141 | − | 1.18842i | ||||
\(86\) | −4415.34 | − | 3207.93i | −0.0643751 | − | 0.0467713i | ||||
\(87\) | −46555.4 | −0.659434 | ||||||||
\(88\) | −2178.60 | + | 4671.08i | −0.0299896 | + | 0.0643000i | ||||
\(89\) | 57821.9 | 0.773779 | 0.386890 | − | 0.922126i | \(-0.373549\pi\) | ||||
0.386890 | + | 0.922126i | \(0.373549\pi\) | |||||||
\(90\) | −42923.1 | − | 31185.5i | −0.558579 | − | 0.405831i | ||||
\(91\) | 34410.3 | − | 105904.i | 0.435597 | − | 1.34063i | ||||
\(92\) | 7673.79 | + | 23617.5i | 0.0945237 | + | 0.290914i | ||||
\(93\) | −37347.9 | + | 27134.8i | −0.447773 | + | 0.325326i | ||||
\(94\) | −93684.8 | + | 68066.0i | −1.09358 | + | 0.794530i | ||||
\(95\) | 6764.50 | + | 20819.0i | 0.0769001 | + | 0.236674i | ||||
\(96\) | 29331.7 | − | 90273.5i | 0.324832 | − | 0.999729i | ||||
\(97\) | 61580.2 | + | 44740.6i | 0.664525 | + | 0.482806i | 0.868188 | − | 0.496235i | \(-0.165285\pi\) |
−0.203663 | + | 0.979041i | \(0.565285\pi\) | |||||||
\(98\) | 39706.8 | 0.417638 | ||||||||
\(99\) | −30677.7 | − | 28611.9i | −0.314583 | − | 0.293399i | ||||
\(100\) | 30532.5 | 0.305325 | ||||||||
\(101\) | −66622.1 | − | 48403.8i | −0.649852 | − | 0.472145i | 0.213369 | − | 0.976972i | \(-0.431556\pi\) |
−0.863221 | + | 0.504827i | \(0.831556\pi\) | |||||||
\(102\) | −37194.9 | + | 114474.i | −0.353984 | + | 1.08945i | ||||
\(103\) | −36530.8 | − | 112430.i | −0.339286 | − | 1.04421i | −0.964572 | − | 0.263819i | \(-0.915018\pi\) |
0.625286 | − | 0.780395i | \(-0.284982\pi\) | |||||||
\(104\) | 10660.5 | − | 7745.32i | 0.0966484 | − | 0.0702192i | ||||
\(105\) | 66402.0 | − | 48243.9i | 0.587771 | − | 0.427041i | ||||
\(106\) | −3495.33 | − | 10757.5i | −0.0302150 | − | 0.0929924i | ||||
\(107\) | −52973.6 | + | 163036.i | −0.447301 | + | 1.37665i | 0.432639 | + | 0.901567i | \(0.357582\pi\) |
−0.879940 | + | 0.475084i | \(0.842418\pi\) | |||||||
\(108\) | 100491. | + | 73010.9i | 0.829024 | + | 0.602321i | ||||
\(109\) | −29874.6 | −0.240844 | −0.120422 | − | 0.992723i | \(-0.538425\pi\) | ||||
−0.120422 | + | 0.992723i | \(0.538425\pi\) | |||||||
\(110\) | 202170. | + | 24839.1i | 1.59307 | + | 0.195729i | ||||
\(111\) | −144339. | −1.11193 | ||||||||
\(112\) | −94249.2 | − | 68476.0i | −0.709958 | − | 0.515815i | ||||
\(113\) | 13773.5 | − | 42390.6i | 0.101473 | − | 0.312301i | −0.887414 | − | 0.460974i | \(-0.847500\pi\) |
0.988886 | + | 0.148673i | \(0.0475002\pi\) | |||||||
\(114\) | −9781.97 | − | 30105.8i | −0.0704960 | − | 0.216964i | ||||
\(115\) | −42508.2 | + | 30884.0i | −0.299729 | + | 0.217766i | ||||
\(116\) | 97218.8 | − | 70633.6i | 0.670819 | − | 0.487378i | ||||
\(117\) | 33141.5 | + | 101999.i | 0.223825 | + | 0.688862i | ||||
\(118\) | −17855.8 | + | 54954.6i | −0.118052 | + | 0.363328i | ||||
\(119\) | 113722. | + | 82623.5i | 0.736165 | + | 0.534855i | ||||
\(120\) | 9712.67 | 0.0615723 | ||||||||
\(121\) | 156261. | + | 38985.8i | 0.970258 | + | 0.242071i | ||||
\(122\) | −137344. | −0.835429 | ||||||||
\(123\) | 132939. | + | 96585.5i | 0.792297 | + | 0.575637i | ||||
\(124\) | 36822.5 | − | 113328.i | 0.215060 | − | 0.661886i | ||||
\(125\) | −42097.8 | − | 129564.i | −0.240982 | − | 0.741665i | ||||
\(126\) | 72487.8 | − | 52665.5i | 0.406760 | − | 0.295529i | ||||
\(127\) | −23738.2 | + | 17246.8i | −0.130599 | + | 0.0948856i | −0.651167 | − | 0.758935i | \(-0.725720\pi\) |
0.520568 | + | 0.853820i | \(0.325720\pi\) | |||||||
\(128\) | −8117.58 | − | 24983.4i | −0.0437927 | − | 0.134780i | ||||
\(129\) | −2512.84 | + | 7733.71i | −0.0132950 | + | 0.0409179i | ||||
\(130\) | −421299. | − | 306092.i | −2.18641 | − | 1.58852i | ||||
\(131\) | −33598.7 | −0.171059 | −0.0855293 | − | 0.996336i | \(-0.527258\pi\) | ||||
−0.0855293 | + | 0.996336i | \(0.527258\pi\) | |||||||
\(132\) | −142365. | − | 17491.4i | −0.711162 | − | 0.0873754i | ||||
\(133\) | −36968.1 | −0.181217 | ||||||||
\(134\) | −108597. | − | 78900.7i | −0.522466 | − | 0.379594i | ||||
\(135\) | −81215.5 | + | 249956.i | −0.383535 | + | 1.18040i | ||||
\(136\) | 5140.23 | + | 15820.0i | 0.0238306 | + | 0.0733430i | ||||
\(137\) | −140612. | + | 102160.i | −0.640060 | + | 0.465031i | −0.859871 | − | 0.510512i | \(-0.829456\pi\) |
0.219811 | + | 0.975542i | \(0.429456\pi\) | |||||||
\(138\) | 61470.1 | − | 44660.6i | 0.274768 | − | 0.199631i | ||||
\(139\) | −20768.7 | − | 63919.5i | −0.0911743 | − | 0.280606i | 0.895063 | − | 0.445939i | \(-0.147130\pi\) |
−0.986238 | + | 0.165333i | \(0.947130\pi\) | |||||||
\(140\) | −65468.0 | + | 201490.i | −0.282299 | + | 0.868826i | ||||
\(141\) | 139587. | + | 101416.i | 0.591284 | + | 0.429593i | ||||
\(142\) | 561269. | 2.33588 | ||||||||
\(143\) | −301108. | − | 280831.i | −1.23135 | − | 1.14843i | ||||
\(144\) | 112203. | 0.450919 | ||||||||
\(145\) | 205702. | + | 149451.i | 0.812490 | + | 0.590308i | ||||
\(146\) | −86407.5 | + | 265935.i | −0.335482 | + | 1.03251i | ||||
\(147\) | −18282.0 | − | 56266.1i | −0.0697798 | − | 0.214760i | ||||
\(148\) | 301415. | − | 218991.i | 1.13113 | − | 0.821811i | ||||
\(149\) | 226740. | − | 164737.i | 0.836687 | − | 0.607889i | −0.0847559 | − | 0.996402i | \(-0.527011\pi\) |
0.921443 | + | 0.388513i | \(0.127011\pi\) | |||||||
\(150\) | −28868.4 | − | 88847.8i | −0.104760 | − | 0.322417i | ||||
\(151\) | −27420.1 | + | 84390.4i | −0.0978648 | + | 0.301197i | −0.987990 | − | 0.154520i | \(-0.950617\pi\) |
0.890125 | + | 0.455717i | \(0.150617\pi\) | |||||||
\(152\) | −3539.16 | − | 2571.35i | −0.0124248 | − | 0.00902718i | ||||
\(153\) | −135385. | −0.467564 | ||||||||
\(154\) | −145400. | + | 311748.i | −0.494040 | + | 1.05926i | ||||
\(155\) | 252127. | 0.842926 | ||||||||
\(156\) | 296673. | + | 215545.i | 0.976037 | + | 0.709132i | ||||
\(157\) | 168214. | − | 517709.i | 0.544644 | − | 1.67624i | −0.177190 | − | 0.984177i | \(-0.556701\pi\) |
0.721834 | − | 0.692066i | \(-0.243299\pi\) | |||||||
\(158\) | 163837. | + | 504239.i | 0.522119 | + | 1.60692i | ||||
\(159\) | −13634.5 | + | 9906.02i | −0.0427706 | + | 0.0310747i | ||||
\(160\) | −419394. | + | 304708.i | −1.29516 | + | 0.940987i | ||||
\(161\) | −27420.3 | − | 84390.9i | −0.0833695 | − | 0.256585i | ||||
\(162\) | 55451.7 | − | 170663.i | 0.166007 | − | 0.510918i | ||||
\(163\) | −462703. | − | 336174.i | −1.36406 | − | 0.991048i | −0.998175 | − | 0.0603880i | \(-0.980766\pi\) |
−0.365885 | − | 0.930660i | \(-0.619234\pi\) | |||||||
\(164\) | −424147. | −1.23142 | ||||||||
\(165\) | −57885.7 | − | 297919.i | −0.165524 | − | 0.851899i | ||||
\(166\) | −430946. | −1.21381 | ||||||||
\(167\) | −164111. | − | 119234.i | −0.455352 | − | 0.330832i | 0.336353 | − | 0.941736i | \(-0.390806\pi\) |
−0.791705 | + | 0.610903i | \(0.790806\pi\) | |||||||
\(168\) | −5068.68 | + | 15599.8i | −0.0138555 | + | 0.0426428i | ||||
\(169\) | 210555. | + | 648022.i | 0.567086 | + | 1.74531i | ||||
\(170\) | 531826. | − | 386394.i | 1.41139 | − | 1.02544i | ||||
\(171\) | 28805.1 | − | 20928.2i | 0.0753320 | − | 0.0547319i | ||||
\(172\) | −6486.15 | − | 19962.3i | −0.0167173 | − | 0.0514505i | ||||
\(173\) | −28250.4 | + | 86945.8i | −0.0717645 | + | 0.220868i | −0.980505 | − | 0.196492i | \(-0.937045\pi\) |
0.908741 | + | 0.417361i | \(0.137045\pi\) | |||||||
\(174\) | −297460. | − | 216117.i | −0.744827 | − | 0.541148i | ||||
\(175\) | −109100. | −0.269295 | ||||||||
\(176\) | −376772. | + | 208810.i | −0.916847 | + | 0.508124i | ||||
\(177\) | 86093.9 | 0.206557 | ||||||||
\(178\) | 369446. | + | 268418.i | 0.873979 | + | 0.634983i | ||||
\(179\) | 165516. | − | 509406.i | 0.386107 | − | 1.18831i | −0.549567 | − | 0.835449i | \(-0.685207\pi\) |
0.935674 | − | 0.352865i | \(-0.114793\pi\) | |||||||
\(180\) | −63054.2 | − | 194061.i | −0.145055 | − | 0.446433i | ||||
\(181\) | −186034. | + | 135162.i | −0.422082 | + | 0.306660i | −0.778475 | − | 0.627676i | \(-0.784006\pi\) |
0.356393 | + | 0.934336i | \(0.384006\pi\) | |||||||
\(182\) | 711483. | − | 516923.i | 1.59216 | − | 1.15677i | ||||
\(183\) | 63236.4 | + | 194621.i | 0.139585 | + | 0.429599i | ||||
\(184\) | 3244.79 | − | 9986.44i | 0.00706549 | − | 0.0217453i | ||||
\(185\) | 637753. | + | 463355.i | 1.37001 | + | 0.995370i | ||||
\(186\) | −364594. | −0.772728 | ||||||||
\(187\) | 454615. | − | 251951.i | 0.950692 | − | 0.526881i | ||||
\(188\) | −445358. | −0.918998 | ||||||||
\(189\) | −359078. | − | 260885.i | −0.731196 | − | 0.531245i | ||||
\(190\) | −53424.1 | + | 164422.i | −0.107363 | + | 0.330428i | ||||
\(191\) | 86935.7 | + | 267561.i | 0.172431 | + | 0.530687i | 0.999507 | − | 0.0314027i | \(-0.00999744\pi\) |
−0.827076 | + | 0.562090i | \(0.809997\pi\) | |||||||
\(192\) | 279479. | − | 203053.i | 0.547136 | − | 0.397518i | ||||
\(193\) | −509767. | + | 370368.i | −0.985096 | + | 0.715714i | −0.958842 | − | 0.283941i | \(-0.908358\pi\) |
−0.0262546 | + | 0.999655i | \(0.508358\pi\) | |||||||
\(194\) | 185766. | + | 571730.i | 0.354374 | + | 1.09065i | ||||
\(195\) | −239767. | + | 737928.i | −0.451548 | + | 1.38972i | ||||
\(196\) | 123544. | + | 89759.8i | 0.229710 | + | 0.166894i | ||||
\(197\) | −155880. | −0.286171 | −0.143085 | − | 0.989710i | \(-0.545702\pi\) | ||||
−0.143085 | + | 0.989710i | \(0.545702\pi\) | |||||||
\(198\) | −63191.0 | − | 325223.i | −0.114549 | − | 0.589547i | ||||
\(199\) | 764267. | 1.36808 | 0.684041 | − | 0.729443i | \(-0.260221\pi\) | ||||
0.684041 | + | 0.729443i | \(0.260221\pi\) | |||||||
\(200\) | −10444.7 | − | 7588.52i | −0.0184638 | − | 0.0134147i | ||||
\(201\) | −61804.4 | + | 190214.i | −0.107902 | + | 0.332088i | ||||
\(202\) | −200976. | − | 618540.i | −0.346550 | − | 1.06657i | ||||
\(203\) | −347386. | + | 252391.i | −0.591660 | + | 0.429866i | ||||
\(204\) | −374505. | + | 272094.i | −0.630060 | + | 0.457765i | ||||
\(205\) | −277323. | − | 853513.i | −0.460894 | − | 1.41849i | ||||
\(206\) | 288509. | − | 887940.i | 0.473687 | − | 1.45786i | ||||
\(207\) | 69140.4 | + | 50233.4i | 0.112152 | + | 0.0814830i | ||||
\(208\) | 1.10130e6 | 1.76500 | ||||||||
\(209\) | −57778.8 | + | 123882.i | −0.0914961 | + | 0.196175i | ||||
\(210\) | 648224. | 1.01432 | ||||||||
\(211\) | 474152. | + | 344492.i | 0.733182 | + | 0.532688i | 0.890568 | − | 0.454849i | \(-0.150307\pi\) |
−0.157387 | + | 0.987537i | \(0.550307\pi\) | |||||||
\(212\) | 13442.7 | − | 41372.3i | 0.0205422 | − | 0.0632223i | ||||
\(213\) | −258422. | − | 795340.i | −0.390283 | − | 1.20117i | ||||
\(214\) | −1.09531e6 | + | 795787.i | −1.63494 | + | 1.18785i | ||||
\(215\) | 35929.4 | − | 26104.2i | 0.0530095 | − | 0.0385137i | ||||
\(216\) | −16230.3 | − | 49951.9i | −0.0236697 | − | 0.0728480i | ||||
\(217\) | −131576. | + | 404948.i | −0.189682 | + | 0.583781i | ||||
\(218\) | −190880. | − | 138683.i | −0.272032 | − | 0.197643i | ||||
\(219\) | 416624. | 0.586994 | ||||||||
\(220\) | 572880. | + | 534302.i | 0.798008 | + | 0.744269i | ||||
\(221\) | −1.32883e6 | −1.83016 | ||||||||
\(222\) | −922238. | − | 670045.i | −1.25592 | − | 0.912477i | ||||
\(223\) | −229286. | + | 705668.i | −0.308755 | + | 0.950251i | 0.669494 | + | 0.742818i | \(0.266511\pi\) |
−0.978249 | + | 0.207434i | \(0.933489\pi\) | |||||||
\(224\) | −270534. | − | 832617.i | −0.360248 | − | 1.10873i | ||||
\(225\) | 85009.2 | − | 61762.8i | 0.111946 | − | 0.0813338i | ||||
\(226\) | 284788. | − | 206911.i | 0.370895 | − | 0.269471i | ||||
\(227\) | −26701.1 | − | 82177.4i | −0.0343925 | − | 0.105849i | 0.932387 | − | 0.361463i | \(-0.117723\pi\) |
−0.966779 | + | 0.255614i | \(0.917723\pi\) | |||||||
\(228\) | 37620.5 | − | 115784.i | 0.0479278 | − | 0.147507i | ||||
\(229\) | 73974.2 | + | 53745.4i | 0.0932162 | + | 0.0677255i | 0.633417 | − | 0.773811i | \(-0.281652\pi\) |
−0.540201 | + | 0.841536i | \(0.681652\pi\) | |||||||
\(230\) | −414970. | −0.517246 | ||||||||
\(231\) | 508704. | + | 62500.8i | 0.627242 | + | 0.0770647i | ||||
\(232\) | −50812.3 | −0.0619797 | ||||||||
\(233\) | −174637. | − | 126881.i | −0.210739 | − | 0.153111i | 0.477409 | − | 0.878681i | \(-0.341576\pi\) |
−0.688148 | + | 0.725570i | \(0.741576\pi\) | |||||||
\(234\) | −261742. | + | 805560.i | −0.312489 | + | 0.961741i | ||||
\(235\) | −291192. | − | 896197.i | −0.343962 | − | 1.05860i | ||||
\(236\) | −179785. | + | 130621.i | −0.210123 | + | 0.152663i | ||||
\(237\) | 639091. | − | 464327.i | 0.739081 | − | 0.536973i | ||||
\(238\) | 343059. | + | 1.05583e6i | 0.392578 | + | 1.20823i | ||||
\(239\) | 312219. | − | 960911.i | 0.353561 | − | 1.08815i | −0.603278 | − | 0.797531i | \(-0.706139\pi\) |
0.956839 | − | 0.290618i | \(-0.0938609\pi\) | |||||||
\(240\) | 656719. | + | 477134.i | 0.735956 | + | 0.534703i | ||||
\(241\) | −85779.3 | −0.0951349 | −0.0475674 | − | 0.998868i | \(-0.515147\pi\) | ||||
−0.0475674 | + | 0.998868i | \(0.515147\pi\) | |||||||
\(242\) | 817433. | + | 974484.i | 0.897251 | + | 1.06964i | ||||
\(243\) | 726381. | 0.789130 | ||||||||
\(244\) | −427332. | − | 310475.i | −0.459505 | − | 0.333850i | ||||
\(245\) | −99846.6 | + | 307296.i | −0.106272 | + | 0.327071i | ||||
\(246\) | 401030. | + | 1.23424e6i | 0.422512 | + | 1.30036i | ||||
\(247\) | 282728. | − | 205414.i | 0.294867 | − | 0.214234i | ||||
\(248\) | −40762.9 | + | 29616.0i | −0.0420858 | + | 0.0305771i | ||||
\(249\) | 198418. | + | 610666.i | 0.202806 | + | 0.624174i | ||||
\(250\) | 332476. | − | 1.02326e6i | 0.336442 | − | 1.03546i | ||||
\(251\) | 734190. | + | 533420.i | 0.735570 | + | 0.534423i | 0.891321 | − | 0.453374i | \(-0.149780\pi\) |
−0.155751 | + | 0.987796i | \(0.549780\pi\) | |||||||
\(252\) | 344592. | 0.341825 | ||||||||
\(253\) | −325654. | − | 40010.8i | −0.319857 | − | 0.0392985i | ||||
\(254\) | −231735. | −0.225376 | ||||||||
\(255\) | −792401. | − | 575713.i | −0.763123 | − | 0.554441i | ||||
\(256\) | 354410. | − | 1.09076e6i | 0.337992 | − | 1.04023i | ||||
\(257\) | 355510. | + | 1.09415e6i | 0.335752 | + | 1.03334i | 0.966350 | + | 0.257229i | \(0.0828096\pi\) |
−0.630598 | + | 0.776109i | \(0.717190\pi\) | |||||||
\(258\) | −51956.6 | + | 37748.7i | −0.0485950 | + | 0.0353063i | ||||
\(259\) | −1.07703e6 | + | 782506.i | −0.997648 | + | 0.724834i | ||||
\(260\) | −618890. | − | 1.90475e6i | −0.567780 | − | 1.74745i | ||||
\(261\) | 127797. | − | 393319.i | 0.116123 | − | 0.357391i | ||||
\(262\) | −214675. | − | 155971.i | −0.193209 | − | 0.140375i | ||||
\(263\) | −291869. | −0.260194 | −0.130097 | − | 0.991501i | \(-0.541529\pi\) | ||||
−0.130097 | + | 0.991501i | \(0.541529\pi\) | |||||||
\(264\) | 44353.7 | + | 41366.9i | 0.0391670 | + | 0.0365294i | ||||
\(265\) | 92043.1 | 0.0805150 | ||||||||
\(266\) | −236204. | − | 171612.i | −0.204683 | − | 0.148711i | ||||
\(267\) | 210257. | − | 647105.i | 0.180498 | − | 0.555516i | ||||
\(268\) | −159530. | − | 490983.i | −0.135677 | − | 0.417570i | ||||
\(269\) | −469463. | + | 341084.i | −0.395567 | + | 0.287396i | −0.767733 | − | 0.640770i | \(-0.778615\pi\) |
0.372166 | + | 0.928166i | \(0.378615\pi\) | |||||||
\(270\) | −1.67925e6 | + | 1.22005e6i | −1.40186 | + | 1.01851i | ||||
\(271\) | −154047. | − | 474108.i | −0.127418 | − | 0.392151i | 0.866916 | − | 0.498454i | \(-0.166099\pi\) |
−0.994334 | + | 0.106303i | \(0.966099\pi\) | |||||||
\(272\) | −429601. | + | 1.32218e6i | −0.352082 | + | 1.08360i | ||||
\(273\) | −1.06008e6 | − | 770195.i | −0.860861 | − | 0.625452i | ||||
\(274\) | −1.37267e6 | −1.10456 | ||||||||
\(275\) | −170516. | + | 365599.i | −0.135967 | + | 0.291523i | ||||
\(276\) | 292216. | 0.230904 | ||||||||
\(277\) | 713500. | + | 518388.i | 0.558720 | + | 0.405934i | 0.830990 | − | 0.556287i | \(-0.187774\pi\) |
−0.272270 | + | 0.962221i | \(0.587774\pi\) | |||||||
\(278\) | 164025. | − | 504818.i | 0.127291 | − | 0.391762i | ||||
\(279\) | −126724. | − | 390017.i | −0.0974651 | − | 0.299967i | ||||
\(280\) | 72473.8 | − | 52655.3i | 0.0552441 | − | 0.0401372i | ||||
\(281\) | 1.20890e6 | − | 878314.i | 0.913320 | − | 0.663566i | −0.0285323 | − | 0.999593i | \(-0.509083\pi\) |
0.941852 | + | 0.336027i | \(0.109083\pi\) | |||||||
\(282\) | 421085. | + | 1.29597e6i | 0.315317 | + | 0.970445i | ||||
\(283\) | 234768. | − | 722542.i | 0.174250 | − | 0.536286i | −0.825348 | − | 0.564624i | \(-0.809021\pi\) |
0.999598 | + | 0.0283373i | \(0.00902126\pi\) | |||||||
\(284\) | 1.74633e6 | + | 1.26879e6i | 1.28479 | + | 0.933452i | ||||
\(285\) | 257590. | 0.187853 | ||||||||
\(286\) | −620232. | − | 3.19213e6i | −0.448373 | − | 2.30763i | ||||
\(287\) | 1.51558e6 | 1.08611 | ||||||||
\(288\) | 682152. | + | 495612.i | 0.484618 | + | 0.352096i | ||||
\(289\) | 79599.3 | − | 244981.i | 0.0560615 | − | 0.172540i | ||||
\(290\) | 620531. | + | 1.90980e6i | 0.433280 | + | 1.33350i | ||||
\(291\) | 724631. | − | 526475.i | 0.501631 | − | 0.364456i | ||||
\(292\) | −870011. | + | 632100.i | −0.597128 | + | 0.433839i | ||||
\(293\) | 307837. | + | 947424.i | 0.209484 | + | 0.644726i | 0.999499 | + | 0.0316390i | \(0.0100727\pi\) |
−0.790015 | + | 0.613087i | \(0.789927\pi\) | |||||||
\(294\) | 144386. | − | 444373.i | 0.0974217 | − | 0.299833i | ||||
\(295\) | −380400. | − | 276377.i | −0.254499 | − | 0.184904i | ||||
\(296\) | −157537. | −0.104509 | ||||||||
\(297\) | −1.43545e6 | + | 795541.i | −0.944274 | + | 0.523325i | ||||
\(298\) | 2.21346e6 | 1.44388 | ||||||||
\(299\) | 678627. | + | 493051.i | 0.438989 | + | 0.318944i | ||||
\(300\) | 111025. | − | 341700.i | 0.0712225 | − | 0.219200i | ||||
\(301\) | 23176.6 | + | 71330.1i | 0.0147446 | + | 0.0453792i | ||||
\(302\) | −566951. | + | 411914.i | −0.357707 | + | 0.259890i | ||||
\(303\) | −783960. | + | 569581.i | −0.490555 | + | 0.356409i | ||||
\(304\) | −112982. | − | 347722.i | −0.0701172 | − | 0.215798i | ||||
\(305\) | 345364. | − | 1.06292e6i | 0.212583 | − | 0.654262i | ||||
\(306\) | −865024. | − | 628477.i | −0.528111 | − | 0.383695i | ||||
\(307\) | −2.37437e6 | −1.43781 | −0.718907 | − | 0.695106i | \(-0.755357\pi\) | ||||
−0.718907 | + | 0.695106i | \(0.755357\pi\) | |||||||
\(308\) | −1.15712e6 | + | 641287.i | −0.695029 | + | 0.385191i | ||||
\(309\) | −1.39108e6 | −0.828813 | ||||||||
\(310\) | 1.61093e6 | + | 1.17041e6i | 0.952079 | + | 0.691726i | ||||
\(311\) | −430054. | + | 1.32357e6i | −0.252129 | + | 0.775972i | 0.742253 | + | 0.670120i | \(0.233757\pi\) |
−0.994382 | + | 0.105853i | \(0.966243\pi\) | |||||||
\(312\) | −47915.8 | − | 147470.i | −0.0278671 | − | 0.0857663i | ||||
\(313\) | 1.04457e6 | − | 758924.i | 0.602665 | − | 0.437862i | −0.244159 | − | 0.969735i | \(-0.578512\pi\) |
0.846824 | + | 0.531873i | \(0.178512\pi\) | |||||||
\(314\) | 3.47807e6 | − | 2.52697e6i | 1.99074 | − | 1.44636i | ||||
\(315\) | 225307. | + | 693425.i | 0.127938 | + | 0.393752i | ||||
\(316\) | −630101. | + | 1.93925e6i | −0.354971 | + | 1.09249i | ||||
\(317\) | −1.97980e6 | − | 1.43841e6i | −1.10656 | − | 0.803959i | −0.124438 | − | 0.992227i | \(-0.539713\pi\) |
−0.982118 | + | 0.188268i | \(0.939713\pi\) | |||||||
\(318\) | −133101. | −0.0738098 | ||||||||
\(319\) | 302832. | + | 1.55858e6i | 0.166619 | + | 0.857535i | ||||
\(320\) | −1.88669e6 | −1.02998 | ||||||||
\(321\) | 1.63197e6 | + | 1.18569e6i | 0.883992 | + | 0.642258i | ||||
\(322\) | 216557. | − | 666495.i | 0.116395 | − | 0.358226i | ||||
\(323\) | 136324. | + | 419563.i | 0.0727055 | + | 0.223764i | ||||
\(324\) | 558326. | − | 405648.i | 0.295478 | − | 0.214678i | ||||
\(325\) | 834383. | − | 606215.i | 0.438185 | − | 0.318360i | ||||
\(326\) | −1.39582e6 | − | 4.29588e6i | −0.727419 | − | 2.23876i | ||||
\(327\) | −108633. | + | 334337.i | −0.0561812 | + | 0.172908i | ||||
\(328\) | 145094. | + | 105417.i | 0.0744673 | + | 0.0541037i | ||||
\(329\) | 1.59137e6 | 0.810553 | ||||||||
\(330\) | 1.01313e6 | − | 2.17223e6i | 0.512131 | − | 1.09805i | ||||
\(331\) | −3.54859e6 | −1.78027 | −0.890136 | − | 0.455695i | \(-0.849391\pi\) | ||||
−0.890136 | + | 0.455695i | \(0.849391\pi\) | |||||||
\(332\) | −1.34084e6 | − | 974180.i | −0.667626 | − | 0.485059i | ||||
\(333\) | 396220. | − | 1.21944e6i | 0.195806 | − | 0.602628i | ||||
\(334\) | −495067. | − | 1.52366e6i | −0.242828 | − | 0.747346i | ||||
\(335\) | 883701. | − | 642047.i | 0.430223 | − | 0.312575i | ||||
\(336\) | −1.10906e6 | + | 805777.i | −0.535927 | + | 0.389374i | ||||
\(337\) | 938048. | + | 2.88702e6i | 0.449936 | + | 1.38476i | 0.876979 | + | 0.480529i | \(0.159555\pi\) |
−0.427043 | + | 0.904231i | \(0.640445\pi\) | |||||||
\(338\) | −1.66290e6 | + | 5.11789e6i | −0.791727 | + | 2.43668i | ||||
\(339\) | −424323. | − | 308289.i | −0.200538 | − | 0.145700i | ||||
\(340\) | 2.52819e6 | 1.18608 | ||||||||
\(341\) | 1.15136e6 | + | 1.07382e6i | 0.536196 | + | 0.500088i | ||||
\(342\) | 281199. | 0.130001 | ||||||||
\(343\) | −1.91719e6 | − | 1.39292e6i | −0.879892 | − | 0.639279i | ||||
\(344\) | −2742.61 | + | 8440.88i | −0.00124959 | + | 0.00384584i | ||||
\(345\) | 191062. | + | 588028.i | 0.0864224 | + | 0.265981i | ||||
\(346\) | −584119. | + | 424387.i | −0.262308 | + | 0.190578i | ||||
\(347\) | 3715.47 | − | 2699.45i | 0.00165649 | − | 0.00120351i | −0.586957 | − | 0.809618i | \(-0.699674\pi\) |
0.588613 | + | 0.808415i | \(0.299674\pi\) | |||||||
\(348\) | −436970. | − | 1.34485e6i | −0.193421 | − | 0.595288i | ||||
\(349\) | −47395.5 | + | 145868.i | −0.0208293 | + | 0.0641059i | −0.960931 | − | 0.276789i | \(-0.910730\pi\) |
0.940102 | + | 0.340894i | \(0.110730\pi\) | |||||||
\(350\) | −697080. | − | 506458.i | −0.304167 | − | 0.220990i | ||||
\(351\) | 4.19580e6 | 1.81780 | ||||||||
\(352\) | −3.21297e6 | − | 394754.i | −1.38213 | − | 0.169813i | ||||
\(353\) | −1.99651e6 | −0.852774 | −0.426387 | − | 0.904541i | \(-0.640214\pi\) | ||||
−0.426387 | + | 0.904541i | \(0.640214\pi\) | |||||||
\(354\) | 550087. | + | 399661.i | 0.233304 | + | 0.169506i | ||||
\(355\) | −1.41137e6 | + | 4.34374e6i | −0.594386 | + | 1.82933i | ||||
\(356\) | 542717. | + | 1.67031e6i | 0.226960 | + | 0.698510i | ||||
\(357\) | 1.33819e6 | − | 972254.i | 0.555710 | − | 0.403747i | ||||
\(358\) | 3.42229e6 | − | 2.48644e6i | 1.41127 | − | 1.02534i | ||||
\(359\) | −784438. | − | 2.41425e6i | −0.321235 | − | 0.988659i | −0.973112 | − | 0.230334i | \(-0.926018\pi\) |
0.651877 | − | 0.758325i | \(-0.273982\pi\) | |||||||
\(360\) | −26661.8 | + | 82056.7i | −0.0108426 | + | 0.0333701i | ||||
\(361\) | 1.90934e6 | + | 1.38722e6i | 0.771110 | + | 0.560244i | ||||
\(362\) | −1.81609e6 | −0.728391 | ||||||||
\(363\) | 1.00451e6 | − | 1.60701e6i | 0.400120 | − | 0.640106i | ||||
\(364\) | 3.38224e6 | 1.33799 | ||||||||
\(365\) | −1.84082e6 | − | 1.33744e6i | −0.723236 | − | 0.525462i | ||||
\(366\) | −499422. | + | 1.53706e6i | −0.194879 | + | 0.599776i | ||||
\(367\) | 48287.9 | + | 148615.i | 0.0187143 | + | 0.0575966i | 0.959978 | − | 0.280077i | \(-0.0903600\pi\) |
−0.941263 | + | 0.337674i | \(0.890360\pi\) | |||||||
\(368\) | 709979. | − | 515830.i | 0.273291 | − | 0.198558i | ||||
\(369\) | −1.18092e6 | + | 857988.i | −0.451496 | + | 0.328031i | ||||
\(370\) | 1.92388e6 | + | 5.92110e6i | 0.730591 | + | 2.24853i | ||||
\(371\) | −48033.9 | + | 147833.i | −0.0181181 | + | 0.0557618i | ||||
\(372\) | −1.13440e6 | − | 824187.i | −0.425018 | − | 0.308794i | ||||
\(373\) | 4.51766e6 | 1.68128 | 0.840642 | − | 0.541591i | \(-0.182178\pi\) | ||||
0.840642 | + | 0.541591i | \(0.182178\pi\) | |||||||
\(374\) | 4.07431e6 | + | 500580.i | 1.50617 | + | 0.185052i | ||||
\(375\) | −1.60307e6 | −0.588674 | ||||||||
\(376\) | 152350. | + | 110689.i | 0.0555743 | + | 0.0403771i | ||||
\(377\) | 1.25436e6 | − | 3.86051e6i | 0.454535 | − | 1.39892i | ||||
\(378\) | −1.08321e6 | − | 3.33379e6i | −0.389928 | − | 1.20008i | ||||
\(379\) | 1.04709e6 | − | 760754.i | 0.374442 | − | 0.272048i | −0.384608 | − | 0.923080i | \(-0.625663\pi\) |
0.759051 | + | 0.651032i | \(0.225663\pi\) | |||||||
\(380\) | −537911. | + | 390815.i | −0.191096 | + | 0.138839i | ||||
\(381\) | 106696. | + | 328378.i | 0.0376563 | + | 0.115894i | ||||
\(382\) | −686593. | + | 2.11312e6i | −0.240736 | + | 0.740909i | ||||
\(383\) | −2.91125e6 | − | 2.11515e6i | −1.01410 | − | 0.736790i | −0.0490380 | − | 0.998797i | \(-0.515616\pi\) |
−0.965066 | + | 0.262007i | \(0.915616\pi\) | |||||||
\(384\) | −309115. | −0.106978 | ||||||||
\(385\) | −2.04704e6 | − | 1.90919e6i | −0.703840 | − | 0.656443i | ||||
\(386\) | −4.97640e6 | −1.69999 | ||||||||
\(387\) | −58439.8 | − | 42459.0i | −0.0198350 | − | 0.0144109i | ||||
\(388\) | −714438. | + | 2.19882e6i | −0.240927 | + | 0.741497i | ||||
\(389\) | −1.07990e6 | − | 3.32358e6i | −0.361833 | − | 1.11361i | −0.951940 | − | 0.306284i | \(-0.900914\pi\) |
0.590107 | − | 0.807325i | \(-0.299086\pi\) | |||||||
\(390\) | −4.95754e6 | + | 3.60187e6i | −1.65046 | + | 1.19913i | ||||
\(391\) | −856664. | + | 622403.i | −0.283380 | + | 0.205887i | ||||
\(392\) | −19953.6 | − | 61411.0i | −0.00655854 | − | 0.0201851i | ||||
\(393\) | −122175. | + | 376015.i | −0.0399025 | + | 0.122807i | ||||
\(394\) | −995978. | − | 723620.i | −0.323228 | − | 0.234839i | ||||
\(395\) | −4.31435e6 | −1.39131 | ||||||||
\(396\) | 538575. | − | 1.15475e6i | 0.172587 | − | 0.370040i | ||||
\(397\) | 4.06308e6 | 1.29383 | 0.646917 | − | 0.762560i | \(-0.276058\pi\) | ||||
0.646917 | + | 0.762560i | \(0.276058\pi\) | |||||||
\(398\) | 4.88319e6 | + | 3.54785e6i | 1.54524 | + | 1.12268i | ||||
\(399\) | −134427. | + | 413723.i | −0.0422721 | + | 0.130100i | ||||
\(400\) | −333430. | − | 1.02619e6i | −0.104197 | − | 0.320685i | ||||
\(401\) | 147648. | − | 107272.i | 0.0458528 | − | 0.0333140i | −0.564623 | − | 0.825349i | \(-0.690978\pi\) |
0.610476 | + | 0.792035i | \(0.290978\pi\) | |||||||
\(402\) | −1.27790e6 | + | 928447.i | −0.394394 | + | 0.286544i | ||||
\(403\) | −1.24382e6 | − | 3.82810e6i | −0.381502 | − | 1.17414i | ||||
\(404\) | 772933. | − | 2.37884e6i | 0.235607 | − | 0.725124i | ||||
\(405\) | 1.18134e6 | + | 858295.i | 0.357881 | + | 0.260016i | ||||
\(406\) | −3.39122e6 | −1.02103 | ||||||||
\(407\) | 938894. | + | 4.83218e6i | 0.280951 | + | 1.44596i | ||||
\(408\) | 195738. | 0.0582138 | ||||||||
\(409\) | −2.88714e6 | − | 2.09763e6i | −0.853415 | − | 0.620042i | 0.0726704 | − | 0.997356i | \(-0.476848\pi\) |
−0.926086 | + | 0.377314i | \(0.876848\pi\) | |||||||
\(410\) | 2.19022e6 | − | 6.74080e6i | 0.643469 | − | 1.98039i | ||||
\(411\) | 632008. | + | 1.94512e6i | 0.184552 | + | 0.567992i | ||||
\(412\) | 2.90491e6 | − | 2.11054e6i | 0.843121 | − | 0.612563i | ||||
\(413\) | 642414. | − | 466741.i | 0.185327 | − | 0.134648i | ||||
\(414\) | 208573. | + | 641921.i | 0.0598076 | + | 0.184069i | ||||
\(415\) | 1.08365e6 | − | 3.33514e6i | 0.308866 | − | 0.950593i | ||||
\(416\) | 6.69546e6 | + | 4.86454e6i | 1.89691 | + | 1.37819i | ||||
\(417\) | −790867. | −0.222722 | ||||||||
\(418\) | −944251. | + | 523312.i | −0.264330 | + | 0.146494i | ||||
\(419\) | 6.47362e6 | 1.80141 | 0.900704 | − | 0.434434i | \(-0.143052\pi\) | ||||
0.900704 | + | 0.434434i | \(0.143052\pi\) | |||||||
\(420\) | 2.01688e6 | + | 1.46535e6i | 0.557901 | + | 0.405339i | ||||
\(421\) | −2.03002e6 | + | 6.24777e6i | −0.558208 | + | 1.71799i | 0.129110 | + | 0.991630i | \(0.458788\pi\) |
−0.687318 | + | 0.726357i | \(0.741212\pi\) | |||||||
\(422\) | 1.43035e6 | + | 4.40218e6i | 0.390987 | + | 1.20333i | ||||
\(423\) | −1.23998e6 | + | 900896.i | −0.336948 | + | 0.244807i | ||||
\(424\) | −14881.2 | + | 10811.8i | −0.00401997 | + | 0.00292068i | ||||
\(425\) | 402318. | + | 1.23821e6i | 0.108043 | + | 0.332523i | ||||
\(426\) | 2.04094e6 | − | 6.28136e6i | 0.544886 | − | 1.67699i | ||||
\(427\) | 1.52696e6 | + | 1.10940e6i | 0.405282 | + | 0.294454i | ||||
\(428\) | −5.20686e6 | −1.37394 | ||||||||
\(429\) | −4.23780e6 | + | 2.34862e6i | −1.11172 | + | 0.616127i | ||||
\(430\) | 350747. | 0.0914792 | ||||||||
\(431\) | 2.86904e6 | + | 2.08448e6i | 0.743950 | + | 0.540512i | 0.893946 | − | 0.448175i | \(-0.147926\pi\) |
−0.149995 | + | 0.988687i | \(0.547926\pi\) | |||||||
\(432\) | 1.35647e6 | − | 4.17480e6i | 0.349705 | − | 1.07628i | ||||
\(433\) | 830617. | + | 2.55637e6i | 0.212903 | + | 0.655247i | 0.999296 | + | 0.0375205i | \(0.0119460\pi\) |
−0.786393 | + | 0.617726i | \(0.788054\pi\) | |||||||
\(434\) | −2.72052e6 | + | 1.97657e6i | −0.693309 | + | 0.503719i | ||||
\(435\) | 2.42055e6 | − | 1.75863e6i | 0.613325 | − | 0.445607i | ||||
\(436\) | −280404. | − | 862994.i | −0.0706427 | − | 0.217416i | ||||
\(437\) | 86055.3 | − | 264851.i | 0.0215563 | − | 0.0663435i | ||||
\(438\) | 2.66197e6 | + | 1.93403e6i | 0.663006 | + | 0.481702i | ||||
\(439\) | −1.48068e6 | −0.366691 | −0.183345 | − | 0.983049i | \(-0.558693\pi\) | ||||
−0.183345 | + | 0.983049i | \(0.558693\pi\) | |||||||
\(440\) | −63178.7 | − | 325160.i | −0.0155575 | − | 0.0800692i | ||||
\(441\) | 525545. | 0.128681 | ||||||||
\(442\) | −8.49039e6 | − | 6.16863e6i | −2.06715 | − | 1.50187i | ||||
\(443\) | 380107. | − | 1.16985e6i | 0.0920231 | − | 0.283218i | −0.894443 | − | 0.447181i | \(-0.852428\pi\) |
0.986466 | + | 0.163963i | \(0.0524279\pi\) | |||||||
\(444\) | −1.35477e6 | − | 4.16956e6i | −0.326143 | − | 1.00377i | ||||
\(445\) | −3.00633e6 | + | 2.18423e6i | −0.719675 | + | 0.522875i | ||||
\(446\) | −4.74082e6 | + | 3.44440e6i | −1.12854 | + | 0.819930i | ||||
\(447\) | −1.01913e6 | − | 3.13656e6i | −0.241246 | − | 0.742480i | ||||
\(448\) | 984596. | − | 3.03027e6i | 0.231773 | − | 0.713324i | ||||
\(449\) | −609630. | − | 442922.i | −0.142709 | − | 0.103684i | 0.514140 | − | 0.857706i | \(-0.328111\pi\) |
−0.656849 | + | 0.754022i | \(0.728111\pi\) | |||||||
\(450\) | 829869. | 0.193187 | ||||||||
\(451\) | 2.36875e6 | − | 5.07877e6i | 0.548375 | − | 1.17576i | ||||
\(452\) | 1.35382e6 | 0.311685 | ||||||||
\(453\) | 844735. | + | 613736.i | 0.193408 | + | 0.140519i | ||||
\(454\) | 210877. | − | 649013.i | 0.0480164 | − | 0.147779i | ||||
\(455\) | 2.21144e6 | + | 6.80611e6i | 0.500779 | + | 1.54124i | ||||
\(456\) | −41646.3 | + | 30257.8i | −0.00937916 | + | 0.00681436i | ||||
\(457\) | −4.50928e6 | + | 3.27618e6i | −1.00999 | + | 0.733800i | −0.964207 | − | 0.265151i | \(-0.914578\pi\) |
−0.0457822 | + | 0.998951i | \(0.514578\pi\) | |||||||
\(458\) | 223155. | + | 686799.i | 0.0497098 | + | 0.152991i | ||||
\(459\) | −1.63673e6 | + | 5.03733e6i | −0.362614 | + | 1.11601i | ||||
\(460\) | −1.29114e6 | − | 938066.i | −0.284497 | − | 0.206699i | ||||
\(461\) | 2.90230e6 | 0.636049 | 0.318024 | − | 0.948083i | \(-0.396981\pi\) | ||||
0.318024 | + | 0.948083i | \(0.396981\pi\) | |||||||
\(462\) | 2.96017e6 | + | 2.76083e6i | 0.645225 | + | 0.601775i | ||||
\(463\) | 536367. | 0.116281 | 0.0581406 | − | 0.998308i | \(-0.481483\pi\) | ||||
0.0581406 | + | 0.998308i | \(0.481483\pi\) | |||||||
\(464\) | −3.43566e6 | − | 2.49615e6i | −0.740825 | − | 0.538241i | ||||
\(465\) | 916805. | − | 2.82164e6i | 0.196628 | − | 0.605158i | ||||
\(466\) | −526818. | − | 1.62138e6i | −0.112382 | − | 0.345876i | ||||
\(467\) | −962701. | + | 699443.i | −0.204268 | + | 0.148409i | −0.685216 | − | 0.728340i | \(-0.740292\pi\) |
0.480949 | + | 0.876749i | \(0.340292\pi\) | |||||||
\(468\) | −2.63540e6 | + | 1.91473e6i | −0.556202 | + | 0.404104i | ||||
\(469\) | 570039. | + | 1.75440e6i | 0.119666 | + | 0.368295i | ||||
\(470\) | 2.29975e6 | − | 7.07790e6i | 0.480215 | − | 1.47795i | ||||
\(471\) | −5.18219e6 | − | 3.76508e6i | −1.07637 | − | 0.782028i | ||||
\(472\) | 93966.3 | 0.0194141 | ||||||||
\(473\) | 275254. | + | 33818.5i | 0.0565693 | + | 0.00695026i | ||||
\(474\) | 6.23887e6 | 1.27544 | ||||||||
\(475\) | −277005. | − | 201256.i | −0.0563318 | − | 0.0409274i | ||||
\(476\) | −1.31937e6 | + | 4.06060e6i | −0.266900 | + | 0.821435i | ||||
\(477\) | −46262.8 | − | 142382.i | −0.00930971 | − | 0.0286524i | ||||
\(478\) | 6.45558e6 | − | 4.69026e6i | 1.29231 | − | 0.938916i | ||||
\(479\) | 1.42173e6 | − | 1.03295e6i | 0.283125 | − | 0.205703i | −0.437154 | − | 0.899387i | \(-0.644014\pi\) |
0.720279 | + | 0.693684i | \(0.244014\pi\) | |||||||
\(480\) | 1.88505e6 | + | 5.80159e6i | 0.373440 | + | 1.14933i | ||||
\(481\) | 3.88898e6 | − | 1.19690e7i | 0.766431 | − | 2.35883i | ||||
\(482\) | −548076. | − | 398201.i | −0.107454 | − | 0.0780701i | ||||
\(483\) | −1.04416e6 | −0.203656 | ||||||||
\(484\) | 340478. | + | 4.87987e6i | 0.0660657 | + | 0.946879i | ||||
\(485\) | −4.89182e6 | −0.944313 | ||||||||
\(486\) | 4.64112e6 | + | 3.37197e6i | 0.891317 | + | 0.647580i | ||||
\(487\) | −835844. | + | 2.57246e6i | −0.159699 | + | 0.491504i | −0.998607 | − | 0.0527704i | \(-0.983195\pi\) |
0.838907 | + | 0.544274i | \(0.183195\pi\) | |||||||
\(488\) | 69018.6 | + | 212417.i | 0.0131195 | + | 0.0403776i | ||||
\(489\) | −5.44476e6 | + | 3.95585e6i | −1.02969 | + | 0.748114i | ||||
\(490\) | −2.06448e6 | + | 1.49993e6i | −0.388436 | + | 0.282215i | ||||
\(491\) | −1.45457e6 | − | 4.47672e6i | −0.272290 | − | 0.838024i | −0.989924 | − | 0.141602i | \(-0.954775\pi\) |
0.717633 | − | 0.696421i | \(-0.245225\pi\) | |||||||
\(492\) | −1.54232e6 | + | 4.74677e6i | −0.287251 | + | 0.884068i | ||||
\(493\) | 4.14549e6 | + | 3.01187e6i | 0.768171 | + | 0.558109i | ||||
\(494\) | 2.76002e6 | 0.508857 | ||||||||
\(495\) | 2.67584e6 | + | 328761.i | 0.490849 | + | 0.0603070i | ||||
\(496\) | −4.21106e6 | −0.768576 | ||||||||
\(497\) | −6.24006e6 | − | 4.53367e6i | −1.13318 | − | 0.823301i | ||||
\(498\) | −1.56704e6 | + | 4.82287e6i | −0.283144 | + | 0.871429i | ||||
\(499\) | −1.08413e6 | − | 3.33662e6i | −0.194909 | − | 0.599867i | −0.999978 | − | 0.00668582i | \(-0.997872\pi\) |
0.805069 | − | 0.593181i | \(-0.202128\pi\) | |||||||
\(500\) | 3.34760e6 | − | 2.43217e6i | 0.598837 | − | 0.435080i | ||||
\(501\) | −1.93114e6 | + | 1.40306e6i | −0.343732 | + | 0.249736i | ||||
\(502\) | 2.21480e6 | + | 6.81645e6i | 0.392261 | + | 1.20725i | ||||
\(503\) | −2.36078e6 | + | 7.26574e6i | −0.416041 | + | 1.28044i | 0.495276 | + | 0.868736i | \(0.335067\pi\) |
−0.911317 | + | 0.411706i | \(0.864933\pi\) | |||||||
\(504\) | −117880. | − | 85644.7i | −0.0206711 | − | 0.0150184i | ||||
\(505\) | 5.29233e6 | 0.923461 | ||||||||
\(506\) | −1.89499e6 | − | 1.76738e6i | −0.329027 | − | 0.306870i | ||||
\(507\) | 8.01788e6 | 1.38529 | ||||||||
\(508\) | −721021. | − | 523852.i | −0.123962 | − | 0.0900636i | ||||
\(509\) | −98816.0 | + | 304124.i | −0.0169057 | + | 0.0520303i | −0.959153 | − | 0.282886i | \(-0.908708\pi\) |
0.942248 | + | 0.334917i | \(0.108708\pi\) | |||||||
\(510\) | −2.39040e6 | − | 7.35690e6i | −0.406954 | − | 1.25248i | ||||
\(511\) | 3.10875e6 | − | 2.25864e6i | 0.526665 | − | 0.382644i | ||||
\(512\) | 6.64789e6 | − | 4.82997e6i | 1.12075 | − | 0.814273i | ||||
\(513\) | −430446. | − | 1.32478e6i | −0.0722147 | − | 0.222254i | ||||
\(514\) | −2.80771e6 | + | 8.64125e6i | −0.468754 | + | 1.44268i | ||||
\(515\) | 6.14640e6 | + | 4.46562e6i | 1.02118 | + | 0.741931i | ||||
\(516\) | −246991. | −0.0408373 | ||||||||
\(517\) | 2.48721e6 | − | 5.33276e6i | 0.409247 | − | 0.877457i | ||||
\(518\) | −1.05141e7 | −1.72165 | ||||||||
\(519\) | 870314. | + | 632320.i | 0.141827 | + | 0.103043i | ||||
\(520\) | −261692. | + | 805404.i | −0.0424406 | + | 0.130619i | ||||
\(521\) | −2.40038e6 | − | 7.38760e6i | −0.387422 | − | 1.19236i | −0.934708 | − | 0.355418i | \(-0.884339\pi\) |
0.547285 | − | 0.836946i | \(-0.315661\pi\) | |||||||
\(522\) | 2.64239e6 | − | 1.91981e6i | 0.424445 | − | 0.308377i | ||||
\(523\) | 7.16169e6 | − | 5.20327e6i | 1.14488 | − | 0.831807i | 0.157092 | − | 0.987584i | \(-0.449788\pi\) |
0.987792 | + | 0.155777i | \(0.0497882\pi\) | |||||||
\(524\) | −315358. | − | 970573.i | −0.0501737 | − | 0.154419i | ||||
\(525\) | −396718. | + | 1.22097e6i | −0.0628180 | + | 0.193334i | ||||
\(526\) | −1.86486e6 | − | 1.35490e6i | −0.293888 | − | 0.213522i | ||||
\(527\) | 5.08108e6 | 0.796947 | ||||||||
\(528\) | 966816. | + | 4.97588e6i | 0.150924 | + | 0.776757i | ||||
\(529\) | −5.76791e6 | −0.896147 | ||||||||
\(530\) | 588099. | + | 427279.i | 0.0909411 | + | 0.0660726i | ||||
\(531\) | −236333. | + | 727358.i | −0.0363737 | + | 0.111947i | ||||
\(532\) | −346984. | − | 1.06791e6i | −0.0531533 | − | 0.163589i | ||||
\(533\) | −1.15910e7 | + | 8.42133e6i | −1.76726 | + | 1.28399i | ||||
\(534\) | 4.34737e6 | − | 3.15855e6i | 0.659742 | − | 0.479330i | ||||
\(535\) | −3.40444e6 | − | 1.04778e7i | −0.514235 | − | 1.58265i | ||||
\(536\) | −67455.8 | + | 207607.i | −0.0101416 | + | 0.0312127i | ||||
\(537\) | −5.09908e6 | − | 3.70470e6i | −0.763055 | − | 0.554392i | ||||
\(538\) | −4.58294e6 | −0.682635 | ||||||||
\(539\) | −1.76475e6 | + | 978040.i | −0.261645 | + | 0.145006i | ||||
\(540\) | −7.98281e6 | −1.17807 | ||||||||
\(541\) | 8.39871e6 | + | 6.10202e6i | 1.23373 | + | 0.896356i | 0.997164 | − | 0.0752593i | \(-0.0239785\pi\) |
0.236565 | + | 0.971616i | \(0.423978\pi\) | |||||||
\(542\) | 1.21662e6 | − | 3.74436e6i | 0.177892 | − | 0.547495i | ||||
\(543\) | 836168. | + | 2.57346e6i | 0.121701 | + | 0.374557i | ||||
\(544\) | −8.45201e6 | + | 6.14074e6i | −1.22451 | + | 0.889659i | ||||
\(545\) | 1.55327e6 | − | 1.12852e6i | 0.224004 | − | 0.162748i | ||||
\(546\) | −3.19790e6 | − | 9.84213e6i | −0.459075 | − | 1.41289i | ||||
\(547\) | −4.20721e6 | + | 1.29485e7i | −0.601210 | + | 1.85033i | −0.0802058 | + | 0.996778i | \(0.525558\pi\) |
−0.521004 | + | 0.853554i | \(0.674442\pi\) | |||||||
\(548\) | −4.27092e6 | − | 3.10300e6i | −0.607533 | − | 0.441398i | ||||
\(549\) | −1.81783e6 | −0.257408 | ||||||||
\(550\) | −2.78666e6 | + | 1.54439e6i | −0.392805 | + | 0.217696i | ||||
\(551\) | −1.34760e6 | −0.189096 | ||||||||
\(552\) | −99962.7 | − | 72627.2i | −0.0139634 | − | 0.0101450i | ||||
\(553\) | 2.25150e6 | − | 6.92941e6i | 0.313083 | − | 0.963570i | ||||
\(554\) | 2.15238e6 | + | 6.62435e6i | 0.297951 | + | 0.916999i | ||||
\(555\) | 7.50462e6 | − | 5.45243e6i | 1.03418 | − | 0.751376i | ||||
\(556\) | 1.65152e6 | − | 1.19990e6i | 0.226567 | − | 0.164611i | ||||
\(557\) | 4.31275e6 | + | 1.32733e7i | 0.589002 | + | 1.81276i | 0.582568 | + | 0.812782i | \(0.302048\pi\) |
0.00643328 | + | 0.999979i | \(0.497952\pi\) | |||||||
\(558\) | 1.00083e6 | − | 3.08024e6i | 0.136074 | − | 0.418793i | ||||
\(559\) | −573599. | − | 416744.i | −0.0776388 | − | 0.0564079i | ||||
\(560\) | 7.48698e6 | 1.00887 | ||||||||
\(561\) | −1.16656e6 | − | 6.00392e6i | −0.156495 | − | 0.805430i | ||||
\(562\) | 1.18014e7 | 1.57613 | ||||||||
\(563\) | −1.86131e6 | − | 1.35232e6i | −0.247485 | − | 0.179808i | 0.457127 | − | 0.889402i | \(-0.348879\pi\) |
−0.704611 | + | 0.709593i | \(0.748879\pi\) | |||||||
\(564\) | −1.61945e6 | + | 4.98416e6i | −0.214373 | + | 0.659772i | ||||
\(565\) | 885182. | + | 2.72431e6i | 0.116657 | + | 0.359034i | ||||
\(566\) | 4.85417e6 | − | 3.52676e6i | 0.636904 | − | 0.462738i | ||||
\(567\) | −1.99503e6 | + | 1.44948e6i | −0.260611 | + | 0.189345i | ||||
\(568\) | −282051. | − | 868065.i | −0.0366824 | − | 0.112897i | ||||
\(569\) | −411451. | + | 1.26632e6i | −0.0532768 | + | 0.163969i | −0.974155 | − | 0.225882i | \(-0.927474\pi\) |
0.920878 | + | 0.389851i | \(0.127474\pi\) | |||||||
\(570\) | 1.64584e6 | + | 1.19578e6i | 0.212178 | + | 0.154157i | ||||
\(571\) | −8.92209e6 | −1.14519 | −0.572594 | − | 0.819839i | \(-0.694063\pi\) | ||||
−0.572594 | + | 0.819839i | \(0.694063\pi\) | |||||||
\(572\) | 5.28623e6 | − | 1.13341e7i | 0.675547 | − | 1.44842i | ||||
\(573\) | 3.31049e6 | 0.421217 | ||||||||
\(574\) | 9.68359e6 | + | 7.03554e6i | 1.22675 | + | 0.891288i | ||||
\(575\) | 253965. | − | 781624.i | 0.0320335 | − | 0.0985890i | ||||
\(576\) | 948293. | + | 2.91855e6i | 0.119093 | + | 0.366531i | ||||
\(577\) | 5.45230e6 | − | 3.96133e6i | 0.681774 | − | 0.495338i | −0.192172 | − | 0.981361i | \(-0.561553\pi\) |
0.873946 | + | 0.486024i | \(0.161553\pi\) | |||||||
\(578\) | 1.64583e6 | − | 1.19577e6i | 0.204911 | − | 0.148877i | ||||
\(579\) | 2.29125e6 | + | 7.05175e6i | 0.284038 | + | 0.874179i | ||||
\(580\) | −2.38650e6 | + | 7.34490e6i | −0.294572 | + | 0.906600i | ||||
\(581\) | 4.79115e6 | + | 3.48098e6i | 0.588843 | + | 0.427820i | ||||
\(582\) | 7.07393e6 | 0.865671 | ||||||||
\(583\) | 420322. | + | 392017.i | 0.0512166 | + | 0.0477677i | ||||
\(584\) | 454720. | 0.0551711 | ||||||||
\(585\) | −5.57615e6 | − | 4.05131e6i | −0.673667 | − | 0.489448i | ||||
\(586\) | −2.43121e6 | + | 7.48248e6i | −0.292468 | + | 0.900122i | ||||
\(587\) | −2.05547e6 | − | 6.32608e6i | −0.246216 | − | 0.757773i | −0.995434 | − | 0.0954507i | \(-0.969571\pi\) |
0.749219 | − | 0.662323i | \(-0.230429\pi\) | |||||||
\(588\) | 1.45377e6 | − | 1.05623e6i | 0.173402 | − | 0.125984i | ||||
\(589\) | −1.08108e6 | + | 785448.i | −0.128401 | + | 0.0932887i | ||||
\(590\) | −1.14754e6 | − | 3.53175e6i | −0.135718 | − | 0.417696i | ||||
\(591\) | −566826. | + | 1.74451e6i | −0.0667545 | + | 0.205449i | ||||
\(592\) | −1.06519e7 | − | 7.73902e6i | −1.24917 | − | 0.907574i | ||||
\(593\) | −3.14733e6 | −0.367541 | −0.183770 | − | 0.982969i | \(-0.558830\pi\) | ||||
−0.183770 | + | 0.982969i | \(0.558830\pi\) | |||||||
\(594\) | −1.28647e7 | − | 1.58059e6i | −1.49601 | − | 0.183803i | ||||
\(595\) | −9.03383e6 | −1.04612 | ||||||||
\(596\) | 6.88697e6 | + | 5.00367e6i | 0.794168 | + | 0.576997i | ||||
\(597\) | 2.77910e6 | − | 8.55318e6i | 0.319130 | − | 0.982181i | ||||
\(598\) | 2.04718e6 | + | 6.30059e6i | 0.234101 | + | 0.720490i | ||||
\(599\) | 1.01784e7 | − | 7.39501e6i | 1.15907 | − | 0.842116i | 0.169412 | − | 0.985545i | \(-0.445813\pi\) |
0.989661 | + | 0.143429i | \(0.0458130\pi\) | |||||||
\(600\) | −122906. | + | 89296.3i | −0.0139378 | + | 0.0101264i | ||||
\(601\) | 4.43110e6 | + | 1.36375e7i | 0.500409 | + | 1.54010i | 0.808354 | + | 0.588697i | \(0.200359\pi\) |
−0.307945 | + | 0.951404i | \(0.599641\pi\) | |||||||
\(602\) | −183042. | + | 563344.i | −0.0205854 | + | 0.0633553i | ||||
\(603\) | −1.43736e6 | − | 1.04430e6i | −0.160980 | − | 0.116959i | ||||
\(604\) | −2.69517e6 | −0.300603 | ||||||||
\(605\) | −9.59717e6 | + | 3.87579e6i | −1.06599 | + | 0.430498i | ||||
\(606\) | −7.65310e6 | −0.846557 | ||||||||
\(607\) | −2.59866e6 | − | 1.88803e6i | −0.286271 | − | 0.207988i | 0.435377 | − | 0.900248i | \(-0.356615\pi\) |
−0.721648 | + | 0.692260i | \(0.756615\pi\) | |||||||
\(608\) | 849038. | − | 2.61307e6i | 0.0931469 | − | 0.286677i | ||||
\(609\) | 1.56140e6 | + | 4.80548e6i | 0.170596 | + | 0.525041i | ||||
\(610\) | 7.14091e6 | − | 5.18818e6i | 0.777015 | − | 0.564534i | ||||
\(611\) | −1.21706e7 | + | 8.84248e6i | −1.31889 | + | 0.958232i | ||||
\(612\) | −1.27072e6 | − | 3.91089e6i | −0.137143 | − | 0.422082i | ||||
\(613\) | 2.61881e6 | − | 8.05988e6i | 0.281484 | − | 0.866318i | −0.705947 | − | 0.708265i | \(-0.749478\pi\) |
0.987431 | − | 0.158053i | \(-0.0505217\pi\) | |||||||
\(614\) | −1.51708e7 | − | 1.10222e7i | −1.62400 | − | 1.17991i | ||||
\(615\) | −1.05604e7 | −1.12588 | ||||||||
\(616\) | 555220. | + | 68215.8i | 0.0589540 | + | 0.00724325i | ||||
\(617\) | −833420. | −0.0881356 | −0.0440678 | − | 0.999029i | \(-0.514032\pi\) | ||||
−0.0440678 | + | 0.999029i | \(0.514032\pi\) | |||||||
\(618\) | −8.88815e6 | − | 6.45762e6i | −0.936138 | − | 0.680144i | ||||
\(619\) | 3.23313e6 | − | 9.95055e6i | 0.339154 | − | 1.04381i | −0.625486 | − | 0.780235i | \(-0.715099\pi\) |
0.964640 | − | 0.263572i | \(-0.0849007\pi\) | |||||||
\(620\) | 2.36647e6 | + | 7.28323e6i | 0.247241 | + | 0.760930i | ||||
\(621\) | 2.70493e6 | − | 1.96525e6i | 0.281467 | − | 0.204498i | ||||
\(622\) | −8.89200e6 | + | 6.46042e6i | −0.921560 | + | 0.669553i | ||||
\(623\) | −1.93926e6 | − | 5.96842e6i | −0.200177 | − | 0.616083i | ||||
\(624\) | 4.00463e6 | − | 1.23250e7i | 0.411719 | − | 1.26714i | ||||
\(625\) | 9.62445e6 | + | 6.99257e6i | 0.985544 | + | 0.716039i | ||||
\(626\) | 1.01972e7 | 1.04003 | ||||||||
\(627\) | 1.17631e6 | + | 1.09709e6i | 0.119496 | + | 0.111449i | ||||
\(628\) | 1.65340e7 | 1.67294 | ||||||||
\(629\) | 1.28526e7 | + | 9.33794e6i | 1.29528 | + | 0.941076i | ||||
\(630\) | −1.77941e6 | + | 5.47647e6i | −0.178618 | + | 0.549730i | ||||
\(631\) | 2.87135e6 | + | 8.83712e6i | 0.287087 | + | 0.883562i | 0.985765 | + | 0.168127i | \(0.0537717\pi\) |
−0.698679 | + | 0.715436i | \(0.746228\pi\) | |||||||
\(632\) | 697529. | − | 506784.i | 0.0694655 | − | 0.0504697i | ||||
\(633\) | 5.57948e6 | − | 4.05373e6i | 0.553458 | − | 0.402111i | ||||
\(634\) | −5.97238e6 | − | 1.83811e7i | −0.590098 | − | 1.81613i | ||||
\(635\) | 582720. | − | 1.79343e6i | 0.0573490 | − | 0.176502i | ||||
\(636\) | −414131. | − | 300884.i | −0.0405971 | − | 0.0294955i | ||||
\(637\) | 5.15833e6 | 0.503687 | ||||||||
\(638\) | −5.30025e6 | + | 1.13641e7i | −0.515519 | + | 1.10531i | ||||
\(639\) | 7.42875e6 | 0.719720 | ||||||||
\(640\) | 1.36581e6 | + | 992316.i | 0.131807 | + | 0.0957635i | ||||
\(641\) | −793551. | + | 2.44230e6i | −0.0762834 | + | 0.234776i | −0.981926 | − | 0.189266i | \(-0.939389\pi\) |
0.905642 | + | 0.424042i | \(0.139389\pi\) | |||||||
\(642\) | 4.92308e6 | + | 1.51517e7i | 0.471410 | + | 1.45085i | ||||
\(643\) | −1.47226e7 | + | 1.06966e7i | −1.40429 | + | 1.02028i | −0.410167 | + | 0.912010i | \(0.634530\pi\) |
−0.994122 | + | 0.108265i | \(0.965470\pi\) | |||||||
\(644\) | 2.18045e6 | − | 1.58419e6i | 0.207172 | − | 0.150519i | ||||
\(645\) | −161492. | − | 497021.i | −0.0152845 | − | 0.0470409i | ||||
\(646\) | −1.07665e6 | + | 3.31359e6i | −0.101506 | + | 0.312404i | ||||
\(647\) | −1.95290e6 | − | 1.41887e6i | −0.183409 | − | 0.133254i | 0.492292 | − | 0.870430i | \(-0.336159\pi\) |
−0.675701 | + | 0.737176i | \(0.736159\pi\) | |||||||
\(648\) | −291815. | −0.0273004 | ||||||||
\(649\) | −560022. | − | 2.88225e6i | −0.0521907 | − | 0.268608i | ||||
\(650\) | 8.14534e6 | 0.756181 | ||||||||
\(651\) | 4.05347e6 | + | 2.94502e6i | 0.374864 | + | 0.272355i | ||||
\(652\) | 5.36817e6 | − | 1.65215e7i | 0.494547 | − | 1.52206i | ||||
\(653\) | −3.21261e6 | − | 9.88739e6i | −0.294832 | − | 0.907400i | −0.983278 | − | 0.182112i | \(-0.941707\pi\) |
0.688446 | − | 0.725288i | \(-0.258293\pi\) | |||||||
\(654\) | −2.24614e6 | + | 1.63192e6i | −0.205349 | + | 0.149195i | ||||
\(655\) | 1.74690e6 | − | 1.26920e6i | 0.159098 | − | 0.115591i | ||||
\(656\) | 4.63189e6 | + | 1.42555e7i | 0.420241 | + | 1.29337i | ||||
\(657\) | −1.14366e6 | + | 3.51981e6i | −0.103367 | + | 0.318131i | ||||
\(658\) | 1.01679e7 | + | 7.38739e6i | 0.915514 | + | 0.665160i | ||||
\(659\) | −1.67366e7 | −1.50125 | −0.750624 | − | 0.660730i | \(-0.770247\pi\) | ||||
−0.750624 | + | 0.660730i | \(0.770247\pi\) | |||||||
\(660\) | 8.06272e6 | − | 4.46843e6i | 0.720480 | − | 0.399296i | ||||
\(661\) | −1.46444e7 | −1.30367 | −0.651837 | − | 0.758359i | \(-0.726002\pi\) | ||||
−0.651837 | + | 0.758359i | \(0.726002\pi\) | |||||||
\(662\) | −2.26733e7 | − | 1.64731e7i | −2.01081 | − | 1.46094i | ||||
\(663\) | −4.83201e6 | + | 1.48714e7i | −0.426917 | + | 1.31392i | ||||
\(664\) | 216561. | + | 666505.i | 0.0190616 | + | 0.0586656i | ||||
\(665\) | 1.92208e6 | − | 1.39647e6i | 0.168546 | − | 0.122456i | ||||
\(666\) | 8.19242e6 | − | 5.95214e6i | 0.715693 | − | 0.519982i | ||||
\(667\) | −999550. | − | 3.07630e6i | −0.0869941 | − | 0.267740i | ||||
\(668\) | 1.90398e6 | − | 5.85984e6i | 0.165090 | − | 0.508095i | ||||
\(669\) | 7.06363e6 | + | 5.13203e6i | 0.610187 | + | 0.443327i | ||||
\(670\) | 8.62678e6 | 0.742441 | ||||||||
\(671\) | 6.10419e6 | − | 3.38299e6i | 0.523385 | − | 0.290064i | ||||
\(672\) | −1.03018e7 | −0.880019 | ||||||||
\(673\) | 9.23246e6 | + | 6.70778e6i | 0.785742 | + | 0.570875i | 0.906697 | − | 0.421783i | \(-0.138596\pi\) |
−0.120955 | + | 0.992658i | \(0.538596\pi\) | |||||||
\(674\) | −7.40843e6 | + | 2.28008e7i | −0.628169 | + | 1.93331i | ||||
\(675\) | −1.27033e6 | − | 3.90966e6i | −0.107314 | − | 0.330278i | ||||
\(676\) | −1.67433e7 | + | 1.21647e7i | −1.40920 | + | 1.02385i | ||||
\(677\) | 1.48168e7 | − | 1.07650e7i | 1.24246 | − | 0.902698i | 0.244698 | − | 0.969599i | \(-0.421311\pi\) |
0.997760 | + | 0.0669011i | \(0.0213112\pi\) | |||||||
\(678\) | −1.28004e6 | − | 3.93955e6i | −0.106942 | − | 0.329134i | ||||
\(679\) | 2.55286e6 | − | 7.85689e6i | 0.212497 | − | 0.653997i | ||||
\(680\) | −864857. | − | 628355.i | −0.0717252 | − | 0.0521114i | ||||
\(681\) | −1.01677e6 | −0.0840145 | ||||||||
\(682\) | 2.37160e6 | + | 1.22058e7i | 0.195245 | + | 1.00486i | ||||
\(683\) | 1.75503e7 | 1.43957 | 0.719783 | − | 0.694199i | \(-0.244241\pi\) | ||||
0.719783 | + | 0.694199i | \(0.244241\pi\) | |||||||
\(684\) | 874921. | + | 635667.i | 0.0715037 | + | 0.0519505i | ||||
\(685\) | 3.45170e6 | − | 1.06232e7i | 0.281065 | − | 0.865030i | ||||
\(686\) | −5.78349e6 | − | 1.77998e7i | −0.469224 | − | 1.44412i | ||||
\(687\) | 870475. | − | 632437.i | 0.0703662 | − | 0.0511241i | ||||
\(688\) | −600098. | + | 435997.i | −0.0483338 | + | 0.0351166i | ||||
\(689\) | −454079. | − | 1.39751e6i | −0.0364404 | − | 0.112152i | ||||
\(690\) | −1.50895e6 | + | 4.64407e6i | −0.120657 | + | 0.371344i | ||||
\(691\) | −1.24532e7 | − | 9.04781e6i | −0.992172 | − | 0.720855i | −0.0317766 | − | 0.999495i | \(-0.510117\pi\) |
−0.960396 | + | 0.278640i | \(0.910117\pi\) | |||||||
\(692\) | −2.77678e6 | −0.220433 | ||||||||
\(693\) | −1.92446e6 | + | 4.12618e6i | −0.152221 | + | 0.326374i | ||||
\(694\) | 36270.8 | 0.00285863 | ||||||||
\(695\) | 3.49439e6 | + | 2.53883e6i | 0.274416 | + | 0.199375i | ||||
\(696\) | −184768. | + | 568659.i | −0.0144579 | + | 0.0444968i | ||||
\(697\) | −5.58886e6 | − | 1.72008e7i | −0.435754 | − | 1.34111i | ||||
\(698\) | −979972. | + | 711992.i | −0.0761334 | + | 0.0553142i | ||||
\(699\) | −2.05500e6 | + | 1.49304e6i | −0.159081 | + | 0.115579i | ||||
\(700\) | −1.02401e6 | − | 3.15159e6i | −0.0789878 | − | 0.243100i | ||||
\(701\) | 2.19142e6 | − | 6.74449e6i | 0.168434 | − | 0.518387i | −0.830839 | − | 0.556513i | \(-0.812139\pi\) |
0.999273 | + | 0.0381261i | \(0.0121388\pi\) | |||||||
\(702\) | 2.68086e7 | + | 1.94776e7i | 2.05320 | + | 1.49173i | ||||
\(703\) | −4.17806e6 | −0.318850 | ||||||||
\(704\) | −8.61574e6 | − | 8.03555e6i | −0.655181 | − | 0.611060i | ||||
\(705\) | −1.10885e7 | −0.840235 | ||||||||
\(706\) | −1.27564e7 | − | 9.26810e6i | −0.963203 | − | 0.699808i | ||||
\(707\) | −2.76187e6 | + | 8.50017e6i | −0.207805 | + | 0.639557i | ||||
\(708\) | 808079. | + | 2.48701e6i | 0.0605858 | + | 0.186464i | ||||
\(709\) | −3.08175e6 | + | 2.23902e6i | −0.230240 | + | 0.167279i | −0.696924 | − | 0.717145i | \(-0.745449\pi\) |
0.466684 | + | 0.884424i | \(0.345449\pi\) | |||||||
\(710\) | −2.91821e7 | + | 2.12020e7i | −2.17255 | + | 1.57845i | ||||
\(711\) | 2.16849e6 | + | 6.67391e6i | 0.160873 | + | 0.495116i | ||||
\(712\) | 229483. | − | 706275.i | 0.0169649 | − | 0.0522125i | ||||
\(713\) | −2.59489e6 | − | 1.88529e6i | −0.191159 | − | 0.138885i | ||||
\(714\) | 1.30636e7 | 0.958996 | ||||||||
\(715\) | 2.62639e7 | + | 3.22686e6i | 1.92130 | + | 0.236056i | ||||
\(716\) | 1.62688e7 | 1.18597 | ||||||||
\(717\) | −9.61857e6 | − | 6.98830e6i | −0.698735 | − | 0.507661i | ||||
\(718\) | 6.19526e6 | − | 1.90671e7i | 0.448486 | − | 1.38030i | ||||
\(719\) | −7.30938e6 | − | 2.24960e7i | −0.527301 | − | 1.62286i | −0.759721 | − | 0.650249i | \(-0.774664\pi\) |
0.232420 | − | 0.972615i | \(-0.425336\pi\) | |||||||
\(720\) | −5.83377e6 | + | 4.23848e6i | −0.419390 | + | 0.304704i | ||||
\(721\) | −1.03799e7 | + | 7.54147e6i | −0.743630 | + | 0.540279i | ||||
\(722\) | 5.75983e6 | + | 1.77269e7i | 0.411213 | + | 1.26558i | ||||
\(723\) | −311918. | + | 959986.i | −0.0221919 | + | 0.0682997i | ||||
\(724\) | −5.65056e6 | − | 4.10538e6i | −0.400632 | − | 0.291076i | ||||
\(725\) | −3.97701e6 | −0.281003 | ||||||||
\(726\) | 1.38782e7 | − | 5.60468e6i | 0.977219 | − | 0.394647i | ||||
\(727\) | −1.63496e7 | −1.14728 | −0.573642 | − | 0.819106i | \(-0.694470\pi\) | ||||
−0.573642 | + | 0.819106i | \(0.694470\pi\) | |||||||
\(728\) | −1.15701e6 | − | 840621.i | −0.0809115 | − | 0.0587857i | ||||
\(729\) | 4.34749e6 | − | 1.33802e7i | 0.302984 | − | 0.932489i | ||||
\(730\) | −5.55314e6 | − | 1.70908e7i | −0.385684 | − | 1.18701i | ||||
\(731\) | 724082. | − | 526076.i | 0.0501180 | − | 0.0364129i | ||||
\(732\) | −5.02853e6 | + | 3.65344e6i | −0.346867 | + | 0.252014i | ||||
\(733\) | 4.22050e6 | + | 1.29894e7i | 0.290138 | + | 0.892952i | 0.984811 | + | 0.173627i | \(0.0555488\pi\) |
−0.694674 | + | 0.719325i | \(0.744451\pi\) | |||||||
\(734\) | −381364. | + | 1.17372e6i | −0.0261276 | + | 0.0804124i | ||||
\(735\) | 3.07599e6 | + | 2.23484e6i | 0.210023 | + | 0.152591i | ||||
\(736\) | 6.59488e6 | 0.448758 | ||||||||
\(737\) | 6.77001e6 | + | 831782.i | 0.459114 | + | 0.0564080i | ||||
\(738\) | −1.15283e7 | −0.779153 | ||||||||
\(739\) | 1.34985e7 | + | 9.80726e6i | 0.909233 | + | 0.660597i | 0.940821 | − | 0.338904i | \(-0.110056\pi\) |
−0.0315875 | + | 0.999501i | \(0.510056\pi\) | |||||||
\(740\) | −7.39906e6 | + | 2.27720e7i | −0.496704 | + | 1.52870i | ||||
\(741\) | −1.27078e6 | − | 3.91106e6i | −0.0850207 | − | 0.261667i | ||||
\(742\) | −993171. | + | 721581.i | −0.0662238 | + | 0.0481144i | ||||
\(743\) | 2.23555e6 | − | 1.62422e6i | 0.148564 | − | 0.107938i | −0.511020 | − | 0.859569i | \(-0.670732\pi\) |
0.659584 | + | 0.751631i | \(0.270732\pi\) | |||||||
\(744\) | 183217. | + | 563884.i | 0.0121348 | + | 0.0373472i | ||||
\(745\) | −5.56596e6 | + | 1.71303e7i | −0.367409 | + | 1.13077i | ||||
\(746\) | 2.88650e7 | + | 2.09717e7i | 1.89900 | + | 1.37970i | ||||
\(747\) | −5.70384e6 | −0.373995 | ||||||||
\(748\) | 1.15452e7 | + | 1.07677e7i | 0.754479 | + | 0.703672i | ||||
\(749\) | 1.86054e7 | 1.21181 | ||||||||
\(750\) | −1.02426e7 | − | 7.44171e6i | −0.664903 | − | 0.483080i | ||||
\(751\) | −2.93644e6 | + | 9.03743e6i | −0.189986 | + | 0.584716i | −0.999999 | − | 0.00169606i | \(-0.999460\pi\) |
0.810013 | + | 0.586412i | \(0.199460\pi\) | |||||||
\(752\) | 4.86353e6 | + | 1.49684e7i | 0.313623 | + | 0.965231i | ||||
\(753\) | 8.63942e6 | − | 6.27690e6i | 0.555261 | − | 0.403421i | ||||
\(754\) | 2.59356e7 | − | 1.88434e7i | 1.66138 | − | 1.20706i | ||||
\(755\) | −1.76220e6 | − | 5.42350e6i | −0.112509 | − | 0.346268i | ||||
\(756\) | 4.16593e6 | − | 1.28214e7i | 0.265099 | − | 0.815890i | ||||
\(757\) | −2.54413e6 | − | 1.84842e6i | −0.161361 | − | 0.117236i | 0.504174 | − | 0.863602i | \(-0.331797\pi\) |
−0.665536 | + | 0.746366i | \(0.731797\pi\) | |||||||
\(758\) | 1.02218e7 | 0.646180 | ||||||||
\(759\) | −1.63195e6 | + | 3.49902e6i | −0.102826 | + | 0.220466i | ||||
\(760\) | 281144. | 0.0176561 | ||||||||
\(761\) | −1.26791e7 | − | 9.21188e6i | −0.793644 | − | 0.576616i | 0.115399 | − | 0.993319i | \(-0.463185\pi\) |
−0.909043 | + | 0.416703i | \(0.863185\pi\) | |||||||
\(762\) | −842657. | + | 2.59343e6i | −0.0525731 | + | 0.161803i | ||||
\(763\) | 1.00195e6 | + | 3.08368e6i | 0.0623066 | + | 0.191760i | ||||
\(764\) | −6.91310e6 | + | 5.02266e6i | −0.428488 | + | 0.311315i | ||||
\(765\) | 7.03905e6 | − | 5.11417e6i | 0.434871 | − | 0.315952i | ||||
\(766\) | −8.78224e6 | − | 2.70289e7i | −0.540796 | − | 1.66440i | ||||
\(767\) | −2.31966e6 | + | 7.13917e6i | −0.142375 | + | 0.438187i | ||||
\(768\) | −1.09184e7 | − | 7.93266e6i | −0.667967 | − | 0.485306i | ||||
\(769\) | 1.27585e7 | 0.778010 | 0.389005 | − | 0.921236i | \(-0.372819\pi\) | ||||
0.389005 | + | 0.921236i | \(0.372819\pi\) | |||||||
\(770\) | −4.21655e6 | − | 2.17012e7i | −0.256289 | − | 1.31904i | ||||
\(771\) | 1.35377e7 | 0.820181 | ||||||||
\(772\) | −1.54836e7 | − | 1.12495e7i | −0.935035 | − | 0.679343i | ||||
\(773\) | −1.71638e6 | + | 5.28248e6i | −0.103315 | + | 0.317972i | −0.989331 | − | 0.145683i | \(-0.953462\pi\) |
0.886016 | + | 0.463655i | \(0.153462\pi\) | |||||||
\(774\) | −176293. | − | 542573.i | −0.0105775 | − | 0.0325541i | ||||
\(775\) | −3.19045e6 | + | 2.31800e6i | −0.190809 | + | 0.138631i | ||||
\(776\) | 790891. | − | 574616.i | 0.0471479 | − | 0.0342549i | ||||
\(777\) | 4.84092e6 | + | 1.48988e7i | 0.287657 | + | 0.885318i | ||||
\(778\) | 8.52872e6 | − | 2.62487e7i | 0.505167 | − | 1.55474i | ||||
\(779\) | 3.84806e6 | + | 2.79578e6i | 0.227194 | + | 0.165066i | ||||
\(780\) | −2.35671e7 | −1.38698 | ||||||||
\(781\) | −2.49454e7 | + | 1.38249e7i | −1.46340 | + | 0.811027i | ||||
\(782\) | −8.36284e6 | −0.489032 | ||||||||
\(783\) | −1.30894e7 | − | 9.51003e6i | −0.762986 | − | 0.554342i | ||||
\(784\) | 1.66765e6 | − | 5.13251e6i | 0.0968982 | − | 0.298222i | ||||
\(785\) | 1.08106e7 | + | 3.32715e7i | 0.626145 | + | 1.92708i | ||||
\(786\) | −2.52614e6 | + | 1.83535e6i | −0.145848 | + | 0.105965i | ||||
\(787\) | −2.33521e7 | + | 1.69663e7i | −1.34397 | + | 0.976451i | −0.344682 | + | 0.938719i | \(0.612013\pi\) |
−0.999288 | + | 0.0377318i | \(0.987987\pi\) | |||||||
\(788\) | −1.46309e6 | − | 4.50294e6i | −0.0839377 | − | 0.258334i | ||||
\(789\) | −1.06132e6 | + | 3.26640e6i | −0.0606951 | + | 0.186800i | ||||
\(790\) | −2.75660e7 | − | 2.00279e7i | −1.57147 | − | 1.14174i | ||||
\(791\) | −4.83753e6 | −0.274905 | ||||||||
\(792\) | −471238. | + | 261164.i | −0.0266949 | + | 0.0147945i | ||||
\(793\) | −1.78424e7 | −1.00756 | ||||||||
\(794\) | 2.59605e7 | + | 1.88614e7i | 1.46138 | + | 1.06175i | ||||
\(795\) | 334695. | − | 1.03009e6i | 0.0187816 | − | 0.0578037i | ||||
\(796\) | 7.17342e6 | + | 2.20775e7i | 0.401277 | + | 1.23500i | ||||
\(797\) | −7.74143e6 | + | 5.62448e6i | −0.431693 | + | 0.313644i | −0.782326 | − | 0.622870i | \(-0.785967\pi\) |
0.350632 | + | 0.936513i | \(0.385967\pi\) | |||||||
\(798\) | −2.77947e6 | + | 2.01941e6i | −0.154510 | + | 0.112258i | ||||
\(799\) | −5.86836e6 | − | 1.80610e7i | −0.325200 | − | 1.00086i | ||||
\(800\) | 2.50567e6 | − | 7.71165e6i | 0.138420 | − | 0.426013i | ||||
\(801\) | 4.88985e6 | + | 3.55268e6i | 0.269286 | + | 0.195648i | ||||
\(802\) | 1.44135e6 | 0.0791288 | ||||||||
\(803\) | −2.71004e6 | − | 1.39477e7i | −0.148316 | − | 0.763333i | ||||
\(804\) | −6.07486e6 | −0.331433 | ||||||||
\(805\) | 4.61354e6 | + | 3.35193e6i | 0.250925 | + | 0.182308i | ||||
\(806\) | 9.82336e6 | − | 3.02332e7i | 0.532626 | − | 1.63926i | ||||
\(807\) | 2.11009e6 | + | 6.49420e6i | 0.114056 | + | 0.351028i | ||||
\(808\) | −855645. | + | 621662.i | −0.0461068 | + | 0.0334986i | ||||
\(809\) | 6.44824e6 | − | 4.68492e6i | 0.346394 | − | 0.251670i | −0.400961 | − | 0.916095i | \(-0.631324\pi\) |
0.747355 | + | 0.664425i | \(0.231324\pi\) | |||||||
\(810\) | 3.56370e6 | + | 1.09680e7i | 0.190849 | + | 0.587372i | ||||
\(811\) | 7.83946e6 | − | 2.41274e7i | 0.418537 | − | 1.28813i | −0.490511 | − | 0.871435i | \(-0.663190\pi\) |
0.909049 | − | 0.416690i | \(-0.136810\pi\) | |||||||
\(812\) | −1.05514e7 | − | 7.66606e6i | −0.561592 | − | 0.408021i | ||||
\(813\) | −5.86606e6 | −0.311258 | ||||||||
\(814\) | −1.64328e7 | + | 3.52331e7i | −0.869261 | + | 1.86376i | ||||
\(815\) | 3.67563e7 | 1.93837 | ||||||||
\(816\) | 1.32348e7 | + | 9.61564e6i | 0.695812 | + | 0.505537i | ||||
\(817\) | −72736.9 | + | 223861.i | −0.00381241 | + | 0.0117334i | ||||
\(818\) | −8.70952e6 | − | 2.68052e7i | −0.455105 | − | 1.40067i | ||||
\(819\) | 9.41692e6 | − | 6.84179e6i | 0.490568 | − | 0.356418i | ||||
\(820\) | 2.20526e7 | − | 1.60222e7i | 1.14532 | − | 0.832122i | ||||
\(821\) | −8.35230e6 | − | 2.57057e7i | −0.432462 | − | 1.33098i | −0.895665 | − | 0.444730i | \(-0.853300\pi\) |
0.463203 | − | 0.886252i | \(-0.346700\pi\) | |||||||
\(822\) | −4.99142e6 | + | 1.53620e7i | −0.257658 | + | 0.792991i | ||||
\(823\) | 2.56285e7 | + | 1.86202e7i | 1.31894 | + | 0.958263i | 0.999945 | + | 0.0105059i | \(0.00334419\pi\) |
0.318992 | + | 0.947758i | \(0.396656\pi\) | |||||||
\(824\) | −1.51828e6 | −0.0778994 | ||||||||
\(825\) | 3.47150e6 | + | 3.23773e6i | 0.177575 | + | 0.165617i | ||||
\(826\) | 6.27131e6 | 0.319822 | ||||||||
\(827\) | 7.77116e6 | + | 5.64608e6i | 0.395114 | + | 0.287067i | 0.767548 | − | 0.640992i | \(-0.221477\pi\) |
−0.372434 | + | 0.928059i | \(0.621477\pi\) | |||||||
\(828\) | −802150. | + | 2.46876e6i | −0.0406612 | + | 0.125142i | ||||
\(829\) | 5.82481e6 | + | 1.79269e7i | 0.294371 | + | 0.905981i | 0.983432 | + | 0.181278i | \(0.0580232\pi\) |
−0.689061 | + | 0.724703i | \(0.741977\pi\) | |||||||
\(830\) | 2.24061e7 | − | 1.62790e7i | 1.12894 | − | 0.820225i | ||||
\(831\) | 8.39595e6 | − | 6.10001e6i | 0.421762 | − | 0.306428i | ||||
\(832\) | 9.30769e6 | + | 2.86461e7i | 0.466159 | + | 1.43469i | ||||
\(833\) | −2.01220e6 | + | 6.19291e6i | −0.100475 | + | 0.309230i | ||||
\(834\) | −5.05315e6 | − | 3.67133e6i | −0.251563 | − | 0.182771i | ||||
\(835\) | 1.30367e7 | 0.647070 | ||||||||
\(836\) | −4.12092e6 | − | 506308.i | −0.203929 | − | 0.0250552i | ||||
\(837\) | −1.60436e7 | −0.791568 | ||||||||
\(838\) | 4.13624e7 | + | 3.00515e7i | 2.03468 | + | 1.47828i | ||||
\(839\) | −4.51174e6 | + | 1.38857e7i | −0.221279 | + | 0.681026i | 0.777369 | + | 0.629044i | \(0.216554\pi\) |
−0.998648 | + | 0.0519812i | \(0.983446\pi\) | |||||||
\(840\) | −325748. | − | 1.00255e6i | −0.0159288 | − | 0.0490239i | ||||
\(841\) | 3.93063e6 | − | 2.85577e6i | 0.191634 | − | 0.139230i | ||||
\(842\) | −4.19737e7 | + | 3.04957e7i | −2.04032 | + | 1.48238i | ||||
\(843\) | −5.43363e6 | − | 1.67230e7i | −0.263342 | − | 0.810484i | ||||
\(844\) | −5.50100e6 | + | 1.69303e7i | −0.265819 | + | 0.818105i | ||||
\(845\) | −3.54265e7 | − | 2.57388e7i | −1.70681 | − | 1.24007i | ||||
\(846\) | −1.21048e7 | −0.581475 | ||||||||
\(847\) | −1.21661e6 | − | 1.74369e7i | −0.0582697 | − | 0.835144i | ||||
\(848\) | −1.53732e6 | −0.0734132 | ||||||||
\(849\) | −7.23253e6 | − | 5.25474e6i | −0.344367 | − | 0.250197i | ||||
\(850\) | −3.17739e6 | + | 9.77901e6i | −0.150842 | + | 0.464245i | ||||
\(851\) | −3.09898e6 | − | 9.53769e6i | −0.146688 | − | 0.451460i | ||||
\(852\) | 2.05496e7 | − | 1.49302e7i | 0.969849 | − | 0.704637i | ||||
\(853\) | −6.58559e6 | + | 4.78471e6i | −0.309900 | + | 0.225156i | −0.731854 | − | 0.681462i | \(-0.761345\pi\) |
0.421953 | + | 0.906618i | \(0.361345\pi\) | |||||||
\(854\) | 4.60630e6 | + | 1.41767e7i | 0.216126 | + | 0.665169i | ||||
\(855\) | −707101. | + | 2.17623e6i | −0.0330800 | + | 0.101810i | ||||
\(856\) | 1.78119e6 | + | 1.29411e6i | 0.0830856 | + | 0.0603652i | ||||
\(857\) | 5.44134e6 | 0.253078 | 0.126539 | − | 0.991962i | \(-0.459613\pi\) | ||||
0.126539 | + | 0.991962i | \(0.459613\pi\) | |||||||
\(858\) | −3.79796e7 | − | 4.66628e6i | −1.76130 | − | 0.216398i | ||||
\(859\) | 769328. | 0.0355737 | 0.0177868 | − | 0.999842i | \(-0.494338\pi\) | ||||
0.0177868 | + | 0.999842i | \(0.494338\pi\) | |||||||
\(860\) | 1.09131e6 | + | 792885.i | 0.0503156 | + | 0.0365565i | ||||
\(861\) | 5.51108e6 | − | 1.69613e7i | 0.253354 | − | 0.779745i | ||||
\(862\) | 8.65492e6 | + | 2.66371e7i | 0.396730 | + | 1.22101i | ||||
\(863\) | 5.97841e6 | − | 4.34357e6i | 0.273249 | − | 0.198527i | −0.442718 | − | 0.896661i | \(-0.645986\pi\) |
0.715967 | + | 0.698134i | \(0.245986\pi\) | |||||||
\(864\) | 2.66874e7 | − | 1.93895e7i | 1.21625 | − | 0.883654i | ||||
\(865\) | −1.81556e6 | − | 5.58773e6i | −0.0825033 | − | 0.253919i | ||||
\(866\) | −6.55997e6 | + | 2.01895e7i | −0.297240 | + | 0.914810i | ||||
\(867\) | −2.45223e6 | − | 1.78165e6i | −0.110793 | − | 0.0804959i | ||||
\(868\) | −1.29328e7 | −0.582629 | ||||||||
\(869\) | −1.97018e7 | − | 1.83751e7i | −0.885029 | − | 0.825430i | ||||
\(870\) | 2.36297e7 | 1.05842 | ||||||||
\(871\) | −1.41079e7 | − | 1.02500e7i | −0.630113 | − | 0.457804i | ||||
\(872\) | −118566. | + | 364909.i | −0.00528043 | + | 0.0162515i | ||||
\(873\) | 2.45873e6 | + | 7.56720e6i | 0.109188 | + | 0.336047i | ||||
\(874\) | 1.77932e6 | − | 1.29275e6i | 0.0787908 | − | 0.0572449i | ||||
\(875\) | −1.19618e7 | + | 8.69073e6i | −0.528172 | + | 0.383739i | ||||
\(876\) | 3.91044e6 | + | 1.20351e7i | 0.172173 | + | 0.529894i | ||||
\(877\) | 4.46446e6 | − | 1.37402e7i | 0.196006 | − | 0.603245i | −0.803957 | − | 0.594687i | \(-0.797276\pi\) |
0.999963 | − | 0.00855794i | \(-0.00272411\pi\) | |||||||
\(878\) | −9.46062e6 | − | 6.87355e6i | −0.414175 | − | 0.300915i | ||||
\(879\) | 1.17223e7 | 0.511732 | ||||||||
\(880\) | 1.17017e7 | − | 2.50893e7i | 0.509379 | − | 1.09215i | ||||
\(881\) | −1.00386e7 | −0.435748 | −0.217874 | − | 0.975977i | \(-0.569912\pi\) | ||||
−0.217874 | + | 0.975977i | \(0.569912\pi\) | |||||||
\(882\) | 3.35790e6 | + | 2.43966e6i | 0.145344 | + | 0.105599i | ||||
\(883\) | −2.43937e6 | + | 7.50760e6i | −0.105287 | + | 0.324041i | −0.989798 | − | 0.142480i | \(-0.954492\pi\) |
0.884511 | + | 0.466520i | \(0.154492\pi\) | |||||||
\(884\) | −1.24724e7 | − | 3.83861e7i | −0.536809 | − | 1.65213i | ||||
\(885\) | −4.47628e6 | + | 3.25221e6i | −0.192114 | + | 0.139579i | ||||
\(886\) | 7.85928e6 | − | 5.71010e6i | 0.336355 | − | 0.244376i | ||||
\(887\) | 5.36366e6 | + | 1.65077e7i | 0.228903 | + | 0.704492i | 0.997872 | + | 0.0652056i | \(0.0207703\pi\) |
−0.768968 | + | 0.639287i | \(0.779230\pi\) | |||||||
\(888\) | −572852. | + | 1.76306e6i | −0.0243787 | + | 0.0750298i | ||||
\(889\) | 2.57638e6 | + | 1.87185e6i | 0.109334 | + | 0.0794358i | ||||
\(890\) | −2.93481e7 | −1.24195 | ||||||||
\(891\) | 1.73916e6 | + | 8.95089e6i | 0.0733915 | + | 0.377722i | ||||
\(892\) | −2.25369e7 | −0.948378 | ||||||||
\(893\) | 4.04050e6 | + | 2.93559e6i | 0.169553 | + | 0.123188i | ||||
\(894\) | 8.04880e6 | − | 2.47716e7i | 0.336812 | − | 1.03660i | ||||
\(895\) | 1.06372e7 | + | 3.27379e7i | 0.443884 | + | 1.36613i | ||||
\(896\) | −2.30655e6 | + | 1.67581e6i | −0.0959827 | + | 0.0697355i | ||||
\(897\) | 7.98560e6 | − | 5.80188e6i | 0.331380 | − | 0.240762i | ||||
\(898\) | −1.83904e6 | − | 5.65999e6i | −0.0761029 | − | 0.234221i | ||||
\(899\) | −4.79632e6 | + | 1.47615e7i | −0.197929 | + | 0.609162i | ||||
\(900\) | 2.58205e6 | + | 1.87597e6i | 0.106257 | + | 0.0772005i | ||||
\(901\) | 1.85494e6 | 0.0761232 | ||||||||
\(902\) | 3.87113e7 | − | 2.14541e7i | 1.58424 | − | 0.878000i | ||||
\(903\) | 882557. | 0.0360183 | ||||||||
\(904\) | −463123. | − | 336479.i | −0.0188484 | − | 0.0136942i | ||||
\(905\) | 4.56672e6 | − | 1.40549e7i | 0.185346 | − | 0.570436i | ||||
\(906\) | 2.54827e6 | + | 7.84278e6i | 0.103140 | + | 0.317431i | ||||
\(907\) | 2.32710e7 | − | 1.69074e7i | 0.939284 | − | 0.682430i | −0.00896408 | − | 0.999960i | \(-0.502853\pi\) |
0.948248 | + | 0.317530i | \(0.102853\pi\) | |||||||
\(908\) | 2.12326e6 | − | 1.54264e6i | 0.0854650 | − | 0.0620939i | ||||
\(909\) | −2.66004e6 | − | 8.18676e6i | −0.106777 | − | 0.328626i | ||||
\(910\) | −1.74653e7 | + | 5.37527e7i | −0.699153 | + | 2.15177i | ||||
\(911\) | −1.65139e7 | − | 1.19981e7i | −0.659257 | − | 0.478978i | 0.207155 | − | 0.978308i | \(-0.433579\pi\) |
−0.866412 | + | 0.499330i | \(0.833579\pi\) | |||||||
\(912\) | −4.30231e6 | −0.171283 | ||||||||
\(913\) | 1.91532e7 | − | 1.06149e7i | 0.760439 | − | 0.421441i | ||||
\(914\) | −4.40201e7 | −1.74295 | ||||||||
\(915\) | −1.06397e7 | − | 7.73019e6i | −0.420123 | − | 0.305237i | ||||
\(916\) | −858230. | + | 2.64136e6i | −0.0337960 | + | 0.104013i | ||||
\(917\) | 1.12685e6 | + | 3.46809e6i | 0.0442530 | + | 0.136197i | ||||
\(918\) | −3.38417e7 | + | 2.45875e7i | −1.32540 | + | 0.962957i | ||||
\(919\) | 6.77705e6 | − | 4.92382e6i | 0.264699 | − | 0.192315i | −0.447517 | − | 0.894275i | \(-0.647692\pi\) |
0.712216 | + | 0.701960i | \(0.247692\pi\) | |||||||
\(920\) | 208532. | + | 641797.i | 0.00812277 | + | 0.0249993i | ||||
\(921\) | −8.63390e6 | + | 2.65724e7i | −0.335396 | + | 1.03224i | ||||
\(922\) | 1.85439e7 | + | 1.34729e7i | 0.718413 | + | 0.521958i | ||||
\(923\) | 7.29147e7 | 2.81716 | ||||||||
\(924\) | 2.96923e6 | + | 1.52817e7i | 0.114410 | + | 0.588831i | ||||
\(925\) | −1.23302e7 | −0.473824 | ||||||||
\(926\) | 3.42705e6 | + | 2.48990e6i | 0.131339 | + | 0.0954232i | ||||
\(927\) | 3.81860e6 | − | 1.17524e7i | 0.145950 | − | 0.449189i | ||||
\(928\) | −9.86175e6 | − | 3.03513e7i | −0.375910 | − | 1.15693i | ||||
\(929\) | −3.73573e7 | + | 2.71417e7i | −1.42016 | + | 1.03180i | −0.428410 | + | 0.903584i | \(0.640926\pi\) |
−0.991746 | + | 0.128220i | \(0.959074\pi\) | |||||||
\(930\) | 1.89563e7 | − | 1.37726e7i | 0.718698 | − | 0.522164i | ||||
\(931\) | −529192. | − | 1.62869e6i | −0.0200096 | − | 0.0615833i | ||||
\(932\) | 2.02609e6 | − | 6.23567e6i | 0.0764045 | − | 0.235149i | ||||
\(933\) | 1.32487e7 | + | 9.62578e6i | 0.498277 | + | 0.362019i | ||||
\(934\) | −9.39799e6 | −0.352507 | ||||||||
\(935\) | −1.41193e7 | + | 3.02728e7i | −0.528182 | + | 1.13246i | ||||
\(936\) | 1.37742e6 | 0.0513897 | ||||||||
\(937\) | −1.94642e7 | − | 1.41415e7i | −0.724247 | − | 0.526196i | 0.163491 | − | 0.986545i | \(-0.447724\pi\) |
−0.887738 | + | 0.460349i | \(0.847724\pi\) | |||||||
\(938\) | −4.50200e6 | + | 1.38557e7i | −0.167070 | + | 0.514188i | ||||
\(939\) | −4.69503e6 | − | 1.44498e7i | −0.173770 | − | 0.534808i | ||||
\(940\) | 2.31555e7 | − | 1.68234e7i | 0.854740 | − | 0.621005i | ||||
\(941\) | 3.13276e7 | − | 2.27608e7i | 1.15333 | − | 0.837942i | 0.164408 | − | 0.986392i | \(-0.447429\pi\) |
0.988920 | + | 0.148451i | \(0.0474287\pi\) | |||||||
\(942\) | −1.56329e7 | − | 4.81131e7i | −0.574000 | − | 1.76659i | ||||
\(943\) | −3.52800e6 | + | 1.08581e7i | −0.129196 | + | 0.397624i | ||||
\(944\) | 6.35350e6 | + | 4.61609e6i | 0.232051 | + | 0.168595i | ||||
\(945\) | 2.85245e7 | 1.03905 | ||||||||
\(946\) | 1.60171e6 | + | 1.49385e6i | 0.0581911 | + | 0.0542725i | ||||
\(947\) | −1.34947e7 | −0.488977 | −0.244489 | − | 0.969652i | \(-0.578620\pi\) | ||||
−0.244489 | + | 0.969652i | \(0.578620\pi\) | |||||||
\(948\) | 1.94116e7 | + | 1.41034e7i | 0.701521 | + | 0.509685i | ||||
\(949\) | −1.12252e7 | + | 3.45477e7i | −0.404604 | + | 1.24524i | ||||
\(950\) | −835629. | − | 2.57180e6i | −0.0300403 | − | 0.0924545i | ||||
\(951\) | −2.32969e7 | + | 1.69262e7i | −0.835307 | + | 0.606886i | ||||
\(952\) | 1.46056e6 | − | 1.06116e6i | 0.0522307 | − | 0.0379478i | ||||
\(953\) | 1.41136e7 | + | 4.34373e7i | 0.503392 | + | 1.54928i | 0.803456 | + | 0.595363i | \(0.202992\pi\) |
−0.300064 | + | 0.953919i | \(0.597008\pi\) | |||||||
\(954\) | 365370. | − | 1.12449e6i | 0.0129976 | − | 0.0400024i | ||||
\(955\) | −1.46272e7 | − | 1.06273e7i | −0.518981 | − | 0.377062i | ||||
\(956\) | 3.06885e7 | 1.08600 | ||||||||
\(957\) | 1.85438e7 | + | 2.27834e6i | 0.654513 | + | 0.0804152i | ||||
\(958\) | 1.38791e7 | 0.488593 | ||||||||
\(959\) | 1.52610e7 | + | 1.10878e7i | 0.535841 | + | 0.389311i | ||||
\(960\) | −6.86057e6 | + | 2.11147e7i | −0.240260 | + | 0.739445i | ||||
\(961\) | −4.09085e6 | − | 1.25903e7i | −0.142891 | − | 0.439773i | ||||
\(962\) | 8.04103e7 | − | 5.84215e7i | 2.80139 | − | 2.03533i | ||||
\(963\) | −1.44971e7 | + | 1.05327e7i | −0.503749 | + | 0.365995i | ||||
\(964\) | −805126. | − | 2.47792e6i | −0.0279043 | − | 0.0858806i | ||||
\(965\) | 1.25136e7 | − | 3.85130e7i | 0.432579 | − | 1.33134i | ||||
\(966\) | −6.67151e6 | − | 4.84714e6i | −0.230028 | − | 0.167125i | ||||
\(967\) | −3.17187e7 | −1.09081 | −0.545405 | − | 0.838173i | \(-0.683624\pi\) | ||||
−0.545405 | + | 0.838173i | \(0.683624\pi\) | |||||||
\(968\) | 1.09637e6 | − | 1.75395e6i | 0.0376069 | − | 0.0601630i | ||||
\(969\) | 5.19119e6 | 0.177606 | ||||||||
\(970\) | −3.12557e7 | − | 2.27086e7i | −1.06659 | − | 0.774927i | ||||
\(971\) | −6.24895e6 | + | 1.92323e7i | −0.212696 | + | 0.654610i | 0.786613 | + | 0.617446i | \(0.211833\pi\) |
−0.999309 | + | 0.0371645i | \(0.988167\pi\) | |||||||
\(972\) | 6.81782e6 | + | 2.09831e7i | 0.231462 | + | 0.712367i | ||||
\(973\) | −5.90127e6 | + | 4.28753e6i | −0.199831 | + | 0.145186i | ||||
\(974\) | −1.72823e7 | + | 1.25563e7i | −0.583720 | + | 0.424097i | ||||
\(975\) | −3.75030e6 | − | 1.15422e7i | −0.126344 | − | 0.388847i | ||||
\(976\) | −5.76833e6 | + | 1.77531e7i | −0.193832 | + | 0.596553i | ||||
\(977\) | 1.70387e7 | + | 1.23793e7i | 0.571084 | + | 0.414917i | 0.835499 | − | 0.549492i | \(-0.185179\pi\) |
−0.264415 | + | 0.964409i | \(0.585179\pi\) | |||||||
\(978\) | −5.31523e7 | −1.77695 | ||||||||
\(979\) | −2.30314e7 | − | 2.82970e6i | −0.768004 | − | 0.0943591i | ||||
\(980\) | −9.81409e6 | −0.326426 | ||||||||
\(981\) | −2.52642e6 | − | 1.83555e6i | −0.0838171 | − | 0.0608967i | ||||
\(982\) | 1.14878e7 | − | 3.53558e7i | 0.380153 | − | 1.16999i | ||||
\(983\) | −1.18425e7 | − | 3.64474e7i | −0.390893 | − | 1.20305i | −0.932114 | − | 0.362166i | \(-0.882038\pi\) |
0.541220 | − | 0.840881i | \(-0.317962\pi\) | |||||||
\(984\) | 1.70737e6 | − | 1.24047e6i | 0.0562132 | − | 0.0408413i | ||||
\(985\) | 8.10467e6 | − | 5.88839e6i | 0.266161 | − | 0.193377i | ||||
\(986\) | 1.25055e7 | + | 3.84880e7i | 0.409646 | + | 1.26076i | ||||
\(987\) | 5.78668e6 | − | 1.78096e7i | 0.189076 | − | 0.581917i | ||||
\(988\) | 8.58753e6 | + | 6.23921e6i | 0.279883 | + | 0.203347i | ||||
\(989\) | −564982. | −0.0183672 | ||||||||
\(990\) | 1.55708e7 | + | 1.45223e7i | 0.504921 | + | 0.470919i | ||||
\(991\) | 1.58930e7 | 0.514071 | 0.257035 | − | 0.966402i | \(-0.417254\pi\) | ||||
0.257035 | + | 0.966402i | \(0.417254\pi\) | |||||||
\(992\) | −2.56016e7 | − | 1.86007e7i | −0.826016 | − | 0.600136i | ||||
\(993\) | −1.29037e7 | + | 3.97136e7i | −0.415281 | + | 1.27810i | ||||
\(994\) | −1.88241e7 | − | 5.79347e7i | −0.604294 | − | 1.85983i | ||||
\(995\) | −3.97365e7 | + | 2.88702e7i | −1.27242 | + | 0.924470i | ||||
\(996\) | −1.57781e7 | + | 1.14635e7i | −0.503972 | + | 0.366157i | ||||
\(997\) | −1.33682e7 | − | 4.11430e7i | −0.425926 | − | 1.31087i | −0.902105 | − | 0.431517i | \(-0.857978\pi\) |
0.476179 | − | 0.879349i | \(-0.342022\pi\) | |||||||
\(998\) | 8.56216e6 | − | 2.63516e7i | 0.272118 | − | 0.837493i | ||||
\(999\) | −4.05822e7 | − | 2.94847e7i | −1.28654 | − | 0.934723i |
(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 | 11.6.c.a.4.4 | yes | 16 | |
3.2 | odd | 2 | 99.6.f.a.37.1 | 16 | |||
11.3 | even | 5 | inner | 11.6.c.a.3.4 | ✓ | 16 | |
11.5 | even | 5 | 121.6.a.g.1.2 | 8 | |||
11.6 | odd | 10 | 121.6.a.i.1.7 | 8 | |||
33.5 | odd | 10 | 1089.6.a.bg.1.7 | 8 | |||
33.14 | odd | 10 | 99.6.f.a.91.1 | 16 | |||
33.17 | even | 10 | 1089.6.a.bb.1.2 | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
11.6.c.a.3.4 | ✓ | 16 | 11.3 | even | 5 | inner | |
11.6.c.a.4.4 | yes | 16 | 1.1 | even | 1 | trivial | |
99.6.f.a.37.1 | 16 | 3.2 | odd | 2 | |||
99.6.f.a.91.1 | 16 | 33.14 | odd | 10 | |||
121.6.a.g.1.2 | 8 | 11.5 | even | 5 | |||
121.6.a.i.1.7 | 8 | 11.6 | odd | 10 | |||
1089.6.a.bb.1.2 | 8 | 33.17 | even | 10 | |||
1089.6.a.bg.1.7 | 8 | 33.5 | odd | 10 |