Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,7,Mod(2,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([9]))
N = Newforms(chi, 7, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.2");
S:= CuspForms(chi, 7);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 7 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.f (of order \(14\), degree \(6\), 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: | \(126\) |
Relative dimension: | \(21\) over \(\Q(\zeta_{14})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{14}]$ |
Embedding invariants
Embedding label | 22.3 | ||
Character | \(\chi\) | \(=\) | 43.22 |
Dual form | 43.7.f.a.2.3 |
$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{5}{14}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −5.10721 | + | 10.6052i | −0.638401 | + | 1.32565i | 0.291049 | + | 0.956708i | \(0.405996\pi\) |
−0.929451 | + | 0.368946i | \(0.879719\pi\) | |||||||
\(3\) | −7.80492 | − | 16.2071i | −0.289071 | − | 0.600263i | 0.704974 | − | 0.709233i | \(-0.250959\pi\) |
−0.994045 | + | 0.108971i | \(0.965244\pi\) | |||||||
\(4\) | −46.4840 | − | 58.2891i | −0.726313 | − | 0.910768i | ||||
\(5\) | −223.373 | + | 50.9834i | −1.78698 | + | 0.407867i | −0.982523 | − | 0.186142i | \(-0.940402\pi\) |
−0.804458 | + | 0.594009i | \(0.797544\pi\) | |||||||
\(6\) | 211.741 | 0.980284 | ||||||||
\(7\) | 193.213i | 0.563303i | 0.959517 | + | 0.281652i | \(0.0908822\pi\) | ||||
−0.959517 | + | 0.281652i | \(0.909118\pi\) | |||||||
\(8\) | 121.123 | − | 27.6454i | 0.236568 | − | 0.0539950i | ||||
\(9\) | 252.771 | − | 316.965i | 0.346737 | − | 0.434794i | ||||
\(10\) | 600.121 | − | 2629.30i | 0.600121 | − | 2.62930i | ||||
\(11\) | 1251.38 | − | 1569.18i | 0.940181 | − | 1.17895i | −0.0435040 | − | 0.999053i | \(-0.513852\pi\) |
0.983685 | − | 0.179897i | \(-0.0575765\pi\) | |||||||
\(12\) | −581.893 | + | 1208.31i | −0.336744 | + | 0.699255i | ||||
\(13\) | 771.627 | + | 3380.72i | 0.351219 | + | 1.53879i | 0.774372 | + | 0.632731i | \(0.218066\pi\) |
−0.423153 | + | 0.906058i | \(0.639077\pi\) | |||||||
\(14\) | −2049.07 | − | 986.780i | −0.746745 | − | 0.359614i | ||||
\(15\) | 2569.70 | + | 3222.30i | 0.761392 | + | 0.954756i | ||||
\(16\) | 736.345 | − | 3226.14i | 0.179772 | − | 0.787632i | ||||
\(17\) | 314.866 | − | 1379.52i | 0.0640884 | − | 0.280789i | −0.932722 | − | 0.360596i | \(-0.882573\pi\) |
0.996810 | + | 0.0798069i | \(0.0254304\pi\) | |||||||
\(18\) | 2070.53 | + | 4299.50i | 0.355030 | + | 0.737226i | ||||
\(19\) | 223.512 | − | 178.245i | 0.0325867 | − | 0.0259870i | −0.607061 | − | 0.794655i | \(-0.707652\pi\) |
0.639648 | + | 0.768668i | \(0.279080\pi\) | |||||||
\(20\) | 13355.0 | + | 10650.3i | 1.66938 | + | 1.33129i | ||||
\(21\) | 3131.42 | − | 1508.01i | 0.338130 | − | 0.162835i | ||||
\(22\) | 10250.5 | + | 21285.3i | 0.962667 | + | 1.99900i | ||||
\(23\) | −5139.50 | + | 6444.73i | −0.422413 | + | 0.529689i | −0.946814 | − | 0.321782i | \(-0.895718\pi\) |
0.524401 | + | 0.851472i | \(0.324289\pi\) | |||||||
\(24\) | −1393.41 | − | 1747.27i | −0.100796 | − | 0.126394i | ||||
\(25\) | 33218.4 | − | 15997.1i | 2.12598 | − | 1.02382i | ||||
\(26\) | −39794.2 | − | 9082.76i | −2.26412 | − | 0.516771i | ||||
\(27\) | −19894.8 | − | 4540.85i | −1.01076 | − | 0.230699i | ||||
\(28\) | 11262.2 | − | 8981.32i | 0.513039 | − | 0.409135i | ||||
\(29\) | 19249.8 | − | 39972.7i | 0.789284 | − | 1.63896i | 0.0202177 | − | 0.999796i | \(-0.493564\pi\) |
0.769066 | − | 0.639169i | \(-0.220722\pi\) | |||||||
\(30\) | −47297.2 | + | 10795.3i | −1.75175 | + | 0.399825i | ||||
\(31\) | −10822.8 | − | 5211.99i | −0.363291 | − | 0.174952i | 0.243329 | − | 0.969944i | \(-0.421761\pi\) |
−0.606620 | + | 0.794992i | \(0.707475\pi\) | |||||||
\(32\) | 36669.8 | + | 29243.2i | 1.11907 | + | 0.892431i | ||||
\(33\) | −35198.8 | − | 8033.90i | −0.979459 | − | 0.223555i | ||||
\(34\) | 13022.0 | + | 10384.7i | 0.331316 | + | 0.264215i | ||||
\(35\) | −9850.65 | − | 43158.5i | −0.229753 | − | 1.00661i | ||||
\(36\) | −30225.4 | −0.647836 | ||||||||
\(37\) | − | 11119.1i | − | 0.219516i | −0.993958 | − | 0.109758i | \(-0.964992\pi\) | ||
0.993958 | − | 0.109758i | \(-0.0350076\pi\) | |||||||
\(38\) | 748.806 | + | 3280.73i | 0.0136464 | + | 0.0597888i | ||||
\(39\) | 48769.1 | − | 38892.1i | 0.822150 | − | 0.655643i | ||||
\(40\) | −25646.0 | + | 12350.5i | −0.400719 | + | 0.192976i | ||||
\(41\) | −60151.0 | − | 28967.2i | −0.872753 | − | 0.420296i | −0.0567808 | − | 0.998387i | \(-0.518084\pi\) |
−0.815972 | + | 0.578091i | \(0.803798\pi\) | |||||||
\(42\) | 40911.2i | 0.552197i | ||||||||
\(43\) | 74151.0 | + | 28687.8i | 0.932635 | + | 0.360821i | ||||
\(44\) | −149636. | −1.75662 | ||||||||
\(45\) | −40302.2 | + | 83688.4i | −0.442274 | + | 0.918392i | ||||
\(46\) | −42099.3 | − | 87420.2i | −0.432516 | − | 0.898128i | ||||
\(47\) | −22922.5 | − | 28743.9i | −0.220785 | − | 0.276855i | 0.659087 | − | 0.752067i | \(-0.270943\pi\) |
−0.879872 | + | 0.475212i | \(0.842371\pi\) | |||||||
\(48\) | −58033.4 | + | 13245.8i | −0.524753 | + | 0.119771i | ||||
\(49\) | 80317.7 | 0.682689 | ||||||||
\(50\) | 433990.i | 3.47192i | ||||||||
\(51\) | −24815.5 | + | 5663.97i | −0.187074 | + | 0.0426983i | ||||
\(52\) | 161191. | − | 202127.i | 1.14638 | − | 1.43752i | ||||
\(53\) | 51702.9 | − | 226525.i | 0.347286 | − | 1.52156i | −0.436028 | − | 0.899933i | \(-0.643615\pi\) |
0.783314 | − | 0.621627i | \(-0.213528\pi\) | |||||||
\(54\) | 149764. | − | 187798.i | 0.951098 | − | 1.19264i | ||||
\(55\) | −199522. | + | 414312.i | −1.19923 | + | 2.49023i | ||||
\(56\) | 5341.46 | + | 23402.5i | 0.0304156 | + | 0.133259i | ||||
\(57\) | −4633.33 | − | 2231.29i | −0.0250189 | − | 0.0120485i | ||||
\(58\) | 325607. | + | 408298.i | 1.66882 | + | 2.09264i | ||||
\(59\) | 22342.0 | − | 97886.6i | 0.108784 | − | 0.476615i | −0.890962 | − | 0.454078i | \(-0.849969\pi\) |
0.999746 | − | 0.0225365i | \(-0.00717418\pi\) | |||||||
\(60\) | 68375.1 | − | 299571.i | 0.316552 | − | 1.38690i | ||||
\(61\) | 95119.6 | + | 197518.i | 0.419064 | + | 0.870196i | 0.998477 | + | 0.0551619i | \(0.0175675\pi\) |
−0.579413 | + | 0.815034i | \(0.696718\pi\) | |||||||
\(62\) | 110549. | − | 88159.7i | 0.463851 | − | 0.369909i | ||||
\(63\) | 61241.8 | + | 48838.7i | 0.244921 | + | 0.195318i | ||||
\(64\) | −306602. | + | 147652.i | −1.16959 | + | 0.563246i | ||||
\(65\) | −344721. | − | 715820.i | −1.25524 | − | 2.60654i | ||||
\(66\) | 264969. | − | 332261.i | 0.921645 | − | 1.15571i | ||||
\(67\) | −255441. | − | 320313.i | −0.849311 | − | 1.06500i | −0.997109 | − | 0.0759842i | \(-0.975790\pi\) |
0.147799 | − | 0.989017i | \(-0.452781\pi\) | |||||||
\(68\) | −95047.2 | + | 45772.3i | −0.302282 | + | 0.145571i | ||||
\(69\) | 144564. | + | 32995.7i | 0.440060 | + | 0.100441i | ||||
\(70\) | 508015. | + | 115951.i | 1.48109 | + | 0.338050i | ||||
\(71\) | −94739.7 | + | 75552.4i | −0.264702 | + | 0.211093i | −0.746842 | − | 0.665001i | \(-0.768431\pi\) |
0.482140 | + | 0.876094i | \(0.339860\pi\) | |||||||
\(72\) | 21853.7 | − | 45379.6i | 0.0585500 | − | 0.121580i | ||||
\(73\) | 56840.9 | − | 12973.6i | 0.146114 | − | 0.0333496i | −0.148838 | − | 0.988862i | \(-0.547553\pi\) |
0.294952 | + | 0.955512i | \(0.404696\pi\) | |||||||
\(74\) | 117921. | + | 56787.8i | 0.291002 | + | 0.140139i | ||||
\(75\) | −518534. | − | 413517.i | −1.22912 | − | 0.980189i | ||||
\(76\) | −20779.5 | − | 4742.78i | −0.0473363 | − | 0.0108042i | ||||
\(77\) | 303187. | + | 241783.i | 0.664107 | + | 0.529607i | ||||
\(78\) | 163385. | + | 715838.i | 0.344294 | + | 1.50845i | ||||
\(79\) | 749591. | 1.52035 | 0.760175 | − | 0.649719i | \(-0.225113\pi\) | ||||
0.760175 | + | 0.649719i | \(0.225113\pi\) | |||||||
\(80\) | 758173.i | 1.48081i | ||||||||
\(81\) | 15917.9 | + | 69741.1i | 0.0299524 | + | 0.131230i | ||||
\(82\) | 614408. | − | 489974.i | 1.11433 | − | 0.888652i | ||||
\(83\) | −404629. | + | 194859.i | −0.707656 | + | 0.340789i | −0.752853 | − | 0.658189i | \(-0.771323\pi\) |
0.0451966 | + | 0.998978i | \(0.485609\pi\) | |||||||
\(84\) | −233462. | − | 112429.i | −0.393893 | − | 0.189689i | ||||
\(85\) | 324200.i | 0.527905i | ||||||||
\(86\) | −682946. | + | 639874.i | −1.07372 | + | 1.00600i | ||||
\(87\) | −798085. | −1.21197 | ||||||||
\(88\) | 108190. | − | 224659.i | 0.158759 | − | 0.329667i | ||||
\(89\) | 164919. | + | 342458.i | 0.233938 | + | 0.485777i | 0.984581 | − | 0.174931i | \(-0.0559703\pi\) |
−0.750643 | + | 0.660708i | \(0.770256\pi\) | |||||||
\(90\) | −681703. | − | 854829.i | −0.935121 | − | 1.17260i | ||||
\(91\) | −653199. | + | 149088.i | −0.866805 | + | 0.197843i | ||||
\(92\) | 614562. | 0.789228 | ||||||||
\(93\) | 216085.i | 0.268644i | ||||||||
\(94\) | 421906. | − | 96297.4i | 0.507963 | − | 0.115939i | ||||
\(95\) | −40839.0 | + | 51210.4i | −0.0476326 | + | 0.0597293i | ||||
\(96\) | 187742. | − | 822551.i | 0.212201 | − | 0.929714i | ||||
\(97\) | 54368.0 | − | 68175.4i | 0.0595701 | − | 0.0746986i | −0.751154 | − | 0.660127i | \(-0.770502\pi\) |
0.810724 | + | 0.585429i | \(0.199074\pi\) | |||||||
\(98\) | −410200. | + | 851788.i | −0.435830 | + | 0.905010i | ||||
\(99\) | −181063. | − | 793288.i | −0.186605 | − | 0.817571i | ||||
\(100\) | −2.47659e6 | − | 1.19266e6i | −2.47659 | − | 1.19266i | ||||
\(101\) | 773222. | + | 969590.i | 0.750482 | + | 0.941075i | 0.999625 | − | 0.0273920i | \(-0.00872022\pi\) |
−0.249143 | + | 0.968467i | \(0.580149\pi\) | |||||||
\(102\) | 66670.2 | − | 292101.i | 0.0628248 | − | 0.275253i | ||||
\(103\) | 167594. | − | 734275.i | 0.153372 | − | 0.671966i | −0.838519 | − | 0.544872i | \(-0.816578\pi\) |
0.991891 | − | 0.127093i | \(-0.0405648\pi\) | |||||||
\(104\) | 186923. | + | 388150.i | 0.166174 | + | 0.345064i | ||||
\(105\) | −622590. | + | 496499.i | −0.537817 | + | 0.428895i | ||||
\(106\) | 2.13830e6 | + | 1.70523e6i | 1.79535 | + | 1.43175i | ||||
\(107\) | 582936. | − | 280727.i | 0.475849 | − | 0.229157i | −0.180557 | − | 0.983565i | \(-0.557790\pi\) |
0.656406 | + | 0.754408i | \(0.272076\pi\) | |||||||
\(108\) | 660107. | + | 1.37073e6i | 0.524014 | + | 1.08813i | ||||
\(109\) | 368112. | − | 461597.i | 0.284250 | − | 0.356438i | −0.619123 | − | 0.785294i | \(-0.712512\pi\) |
0.903373 | + | 0.428856i | \(0.141083\pi\) | |||||||
\(110\) | −3.37488e6 | − | 4.23196e6i | −2.53559 | − | 3.17953i | ||||
\(111\) | −180209. | + | 86784.0i | −0.131767 | + | 0.0634557i | ||||
\(112\) | 623332. | + | 142271.i | 0.443675 | + | 0.101266i | ||||
\(113\) | −21124.0 | − | 4821.41i | −0.0146400 | − | 0.00334148i | 0.215195 | − | 0.976571i | \(-0.430961\pi\) |
−0.229835 | + | 0.973230i | \(0.573819\pi\) | |||||||
\(114\) | 47326.8 | − | 37741.8i | 0.0319442 | − | 0.0254747i | ||||
\(115\) | 819450. | − | 1.70161e6i | 0.538802 | − | 1.11883i | ||||
\(116\) | −3.22479e6 | + | 736036.i | −2.06598 | + | 0.471547i | ||||
\(117\) | 1.26661e6 | + | 609969.i | 0.790837 | + | 0.380847i | ||||
\(118\) | 924005. | + | 736870.i | 0.562378 | + | 0.448482i | ||||
\(119\) | 266541. | + | 60836.2i | 0.158170 | + | 0.0361012i | ||||
\(120\) | 400331. | + | 319253.i | 0.231673 | + | 0.184753i | ||||
\(121\) | −502170. | − | 2.20015e6i | −0.283462 | − | 1.24193i | ||||
\(122\) | −2.58052e6 | −1.42111 | ||||||||
\(123\) | 1.20096e6i | 0.645377i | ||||||||
\(124\) | 199286. | + | 873127.i | 0.104523 | + | 0.457944i | ||||
\(125\) | −3.80557e6 | + | 3.03484e6i | −1.94845 | + | 1.55384i | ||||
\(126\) | −830720. | + | 400054.i | −0.415282 | + | 0.199989i | ||||
\(127\) | −1.05771e6 | − | 509368.i | −0.516365 | − | 0.248668i | 0.157505 | − | 0.987518i | \(-0.449655\pi\) |
−0.673870 | + | 0.738850i | \(0.735369\pi\) | |||||||
\(128\) | − | 1.00391e6i | − | 0.478703i | ||||||
\(129\) | −113798. | − | 1.42568e6i | −0.0530107 | − | 0.664129i | ||||
\(130\) | 9.35200e6 | 4.25672 | ||||||||
\(131\) | 1.36148e6 | − | 2.82714e6i | 0.605617 | − | 1.25758i | −0.342460 | − | 0.939533i | \(-0.611260\pi\) |
0.948076 | − | 0.318043i | \(-0.103026\pi\) | |||||||
\(132\) | 1.16789e6 | + | 2.42516e6i | 0.507787 | + | 1.05443i | ||||
\(133\) | 34439.2 | + | 43185.4i | 0.0146386 | + | 0.0183562i | ||||
\(134\) | 4.70159e6 | − | 1.07311e6i | 1.95403 | − | 0.445993i | ||||
\(135\) | 4.67546e6 | 1.90030 | ||||||||
\(136\) | − | 175796.i | − | 0.0698861i | ||||||
\(137\) | −1.10748e6 | + | 252775.i | −0.430700 | + | 0.0983044i | −0.432374 | − | 0.901694i | \(-0.642324\pi\) |
0.00167463 | + | 0.999999i | \(0.499467\pi\) | |||||||
\(138\) | −1.08824e6 | + | 1.36462e6i | −0.414085 | + | 0.519246i | ||||
\(139\) | 404884. | − | 1.77391e6i | 0.150760 | − | 0.660523i | −0.841905 | − | 0.539626i | \(-0.818566\pi\) |
0.992665 | − | 0.120897i | \(-0.0385771\pi\) | |||||||
\(140\) | −2.05777e6 | + | 2.58037e6i | −0.749918 | + | 0.940367i | ||||
\(141\) | −286947. | + | 595852.i | −0.102363 | + | 0.212560i | ||||
\(142\) | −317395. | − | 1.39060e6i | −0.110850 | − | 0.485665i | ||||
\(143\) | 6.27057e6 | + | 3.01975e6i | 2.14436 | + | 1.03267i | ||||
\(144\) | −836446. | − | 1.04887e6i | −0.280124 | − | 0.351265i | ||||
\(145\) | −2.26195e6 | + | 9.91023e6i | −0.741956 | + | 3.25072i | ||||
\(146\) | −152711. | + | 669069.i | −0.0490694 | + | 0.214987i | ||||
\(147\) | −626874. | − | 1.30172e6i | −0.197346 | − | 0.409793i | ||||
\(148\) | −648125. | + | 516862.i | −0.199928 | + | 0.159437i | ||||
\(149\) | −1.80641e6 | − | 1.44056e6i | −0.546081 | − | 0.435485i | 0.311192 | − | 0.950347i | \(-0.399272\pi\) |
−0.857273 | + | 0.514862i | \(0.827843\pi\) | |||||||
\(150\) | 7.03371e6 | − | 3.38726e6i | 2.08406 | − | 1.00363i | ||||
\(151\) | −1.04963e6 | − | 2.17958e6i | −0.304864 | − | 0.633056i | 0.691105 | − | 0.722754i | \(-0.257124\pi\) |
−0.995969 | + | 0.0896982i | \(0.971410\pi\) | |||||||
\(152\) | 22144.7 | − | 27768.6i | 0.00630578 | − | 0.00790720i | ||||
\(153\) | −357670. | − | 448504.i | −0.0998638 | − | 0.125225i | ||||
\(154\) | −4.11261e6 | + | 1.98053e6i | −1.12604 | + | 0.542274i | ||||
\(155\) | 2.68325e6 | + | 612433.i | 0.720552 | + | 0.164461i | ||||
\(156\) | −4.53397e6 | − | 1.03485e6i | −1.19428 | − | 0.272586i | ||||
\(157\) | 4.61084e6 | − | 3.67702e6i | 1.19146 | − | 0.950161i | 0.191953 | − | 0.981404i | \(-0.438518\pi\) |
0.999512 | + | 0.0312427i | \(0.00994647\pi\) | |||||||
\(158\) | −3.82832e6 | + | 7.94959e6i | −0.970593 | + | 2.01546i | ||||
\(159\) | −4.07485e6 | + | 930059.i | −1.01373 | + | 0.231376i | ||||
\(160\) | −9.68194e6 | − | 4.66258e6i | −2.36376 | − | 1.13832i | ||||
\(161\) | −1.24521e6 | − | 993018.i | −0.298376 | − | 0.237947i | ||||
\(162\) | −820917. | − | 187369.i | −0.193088 | − | 0.0440710i | ||||
\(163\) | −3.21405e6 | − | 2.56312e6i | −0.742147 | − | 0.591842i | 0.177716 | − | 0.984082i | \(-0.443129\pi\) |
−0.919863 | + | 0.392239i | \(0.871701\pi\) | |||||||
\(164\) | 1.10759e6 | + | 4.85266e6i | 0.251100 | + | 1.10014i | ||||
\(165\) | 8.27205e6 | 1.84146 | ||||||||
\(166\) | − | 5.28637e6i | − | 1.15567i | ||||||
\(167\) | −1.00033e6 | − | 4.38275e6i | −0.214781 | − | 0.941016i | −0.961268 | − | 0.275616i | \(-0.911118\pi\) |
0.746487 | − | 0.665400i | \(-0.231739\pi\) | |||||||
\(168\) | 337596. | − | 269224.i | 0.0711983 | − | 0.0567788i | ||||
\(169\) | −6.48505e6 | + | 3.12304e6i | −1.34355 | + | 0.647019i | ||||
\(170\) | −3.43821e6 | − | 1.65576e6i | −0.699820 | − | 0.337015i | ||||
\(171\) | − | 115901.i | − | 0.0231792i | ||||||
\(172\) | −1.77465e6 | − | 5.65572e6i | −0.348761 | − | 1.11148i | ||||
\(173\) | 8.45341e6 | 1.63265 | 0.816326 | − | 0.577591i | \(-0.196007\pi\) | ||||
0.816326 | + | 0.577591i | \(0.196007\pi\) | |||||||
\(174\) | 4.07599e6 | − | 8.46388e6i | 0.773722 | − | 1.60665i | ||||
\(175\) | 3.09086e6 | + | 6.41823e6i | 0.576720 | + | 1.19757i | ||||
\(176\) | −4.14095e6 | − | 5.19259e6i | −0.759560 | − | 0.952459i | ||||
\(177\) | −1.76084e6 | + | 401899.i | −0.317540 | + | 0.0724765i | ||||
\(178\) | −4.47412e6 | −0.793319 | ||||||||
\(179\) | 6.98497e6i | 1.21788i | 0.793215 | + | 0.608941i | \(0.208405\pi\) | ||||
−0.793215 | + | 0.608941i | \(0.791595\pi\) | |||||||
\(180\) | 6.75154e6 | − | 1.54099e6i | 1.15767 | − | 0.264231i | ||||
\(181\) | −1.59692e6 | + | 2.00248e6i | −0.269307 | + | 0.337700i | −0.898034 | − | 0.439926i | \(-0.855005\pi\) |
0.628727 | + | 0.777626i | \(0.283576\pi\) | |||||||
\(182\) | 1.75491e6 | − | 7.68875e6i | 0.291099 | − | 1.27539i | ||||
\(183\) | 2.45879e6 | − | 3.08322e6i | 0.401207 | − | 0.503097i | ||||
\(184\) | −444342. | + | 922686.i | −0.0713287 | + | 0.148116i | ||||
\(185\) | 566891. | + | 2.48371e6i | 0.0895332 | + | 0.392271i | ||||
\(186\) | −2.29164e6 | − | 1.10359e6i | −0.356129 | − | 0.171503i | ||||
\(187\) | −1.77070e6 | − | 2.22039e6i | −0.270782 | − | 0.339550i | ||||
\(188\) | −609928. | + | 2.67227e6i | −0.0917920 | + | 0.402167i | ||||
\(189\) | 877352. | − | 3.84393e6i | 0.129954 | − | 0.569364i | ||||
\(190\) | −334525. | − | 694649.i | −0.0487718 | − | 0.101276i | ||||
\(191\) | −3.99722e6 | + | 3.18768e6i | −0.573665 | + | 0.457482i | −0.866847 | − | 0.498574i | \(-0.833857\pi\) |
0.293182 | + | 0.956057i | \(0.405286\pi\) | |||||||
\(192\) | 4.78600e6 | + | 3.81671e6i | 0.676191 | + | 0.539244i | ||||
\(193\) | −7.92562e6 | + | 3.81678e6i | −1.10246 | + | 0.530915i | −0.894430 | − | 0.447208i | \(-0.852418\pi\) |
−0.208026 | + | 0.978123i | \(0.566704\pi\) | |||||||
\(194\) | 445347. | + | 924772.i | 0.0609948 | + | 0.126657i | ||||
\(195\) | −8.91084e6 | + | 1.11738e7i | −1.20175 | + | 1.50695i | ||||
\(196\) | −3.73349e6 | − | 4.68165e6i | −0.495846 | − | 0.621772i | ||||
\(197\) | −5.59167e6 | + | 2.69281e6i | −0.731380 | + | 0.352214i | −0.762227 | − | 0.647310i | \(-0.775894\pi\) |
0.0308467 | + | 0.999524i | \(0.490180\pi\) | |||||||
\(198\) | 9.33773e6 | + | 2.13128e6i | 1.20295 | + | 0.274564i | ||||
\(199\) | −5.34283e6 | − | 1.21947e6i | −0.677972 | − | 0.154743i | −0.130350 | − | 0.991468i | \(-0.541610\pi\) |
−0.547623 | + | 0.836725i | \(0.684467\pi\) | |||||||
\(200\) | 3.58125e6 | − | 2.85595e6i | 0.447657 | − | 0.356994i | ||||
\(201\) | −3.19764e6 | + | 6.63998e6i | −0.393769 | + | 0.817671i | ||||
\(202\) | −1.42317e7 | + | 3.24830e6i | −1.72665 | + | 0.394096i | ||||
\(203\) | 7.72325e6 | + | 3.71932e6i | 0.923234 | + | 0.444606i | ||||
\(204\) | 1.48367e6 | + | 1.18319e6i | 0.174762 | + | 0.139368i | ||||
\(205\) | 1.49129e7 | + | 3.40378e6i | 1.73102 | + | 0.395094i | ||||
\(206\) | 6.93123e6 | + | 5.52747e6i | 0.792882 | + | 0.632302i | ||||
\(207\) | 743636. | + | 3.25808e6i | 0.0838396 | + | 0.367325i | ||||
\(208\) | 1.14749e7 | 1.27514 | ||||||||
\(209\) | − | 573784.i | − | 0.0628506i | ||||||
\(210\) | −2.08579e6 | − | 9.13844e6i | −0.225223 | − | 0.986766i | ||||
\(211\) | 7.92902e6 | − | 6.32319e6i | 0.844058 | − | 0.673114i | −0.102822 | − | 0.994700i | \(-0.532787\pi\) |
0.946880 | + | 0.321586i | \(0.104216\pi\) | |||||||
\(212\) | −1.56073e7 | + | 7.51609e6i | −1.63803 | + | 0.788832i | ||||
\(213\) | 1.96392e6 | + | 945774.i | 0.203229 | + | 0.0978698i | ||||
\(214\) | 7.61590e6i | 0.777105i | ||||||||
\(215\) | −1.80259e7 | − | 2.62760e6i | −1.81377 | − | 0.264389i | ||||
\(216\) | −2.53524e6 | −0.251570 | ||||||||
\(217\) | 1.00702e6 | − | 2.09111e6i | 0.0985510 | − | 0.204643i | ||||
\(218\) | 3.01532e6 | + | 6.26139e6i | 0.291048 | + | 0.604367i | ||||
\(219\) | −653902. | − | 819968.i | −0.0622559 | − | 0.0780664i | ||||
\(220\) | 3.34245e7 | − | 7.62892e6i | 3.13904 | − | 0.716465i | ||||
\(221\) | 4.90672e6 | 0.454585 | ||||||||
\(222\) | − | 2.35438e6i | − | 0.215188i | ||||||
\(223\) | 1.25035e7 | − | 2.85385e6i | 1.12750 | − | 0.257345i | 0.382206 | − | 0.924077i | \(-0.375165\pi\) |
0.745298 | + | 0.666732i | \(0.232307\pi\) | |||||||
\(224\) | −5.65016e6 | + | 7.08508e6i | −0.502709 | + | 0.630378i | ||||
\(225\) | 3.32612e6 | − | 1.45727e7i | 0.292005 | − | 1.27936i | ||||
\(226\) | 159017. | − | 199401.i | 0.0137758 | − | 0.0172743i | ||||
\(227\) | 9.22704e6 | − | 1.91601e7i | 0.788832 | − | 1.63803i | 0.0189671 | − | 0.999820i | \(-0.493962\pi\) |
0.769865 | − | 0.638207i | \(-0.220323\pi\) | |||||||
\(228\) | 85315.6 | + | 373792.i | 0.00719820 | + | 0.0315374i | ||||
\(229\) | −3.42151e6 | − | 1.64771e6i | −0.284912 | − | 0.137207i | 0.285970 | − | 0.958239i | \(-0.407684\pi\) |
−0.570882 | + | 0.821032i | \(0.693399\pi\) | |||||||
\(230\) | 1.38608e7 | + | 1.73809e7i | 1.13921 | + | 1.42853i | ||||
\(231\) | 1.55225e6 | − | 6.80087e6i | 0.125929 | − | 0.551733i | ||||
\(232\) | 1.22653e6 | − | 5.37377e6i | 0.0982231 | − | 0.430343i | ||||
\(233\) | −7.19241e6 | − | 1.49352e7i | −0.568600 | − | 1.18071i | −0.964907 | − | 0.262592i | \(-0.915423\pi\) |
0.396307 | − | 0.918118i | \(-0.370292\pi\) | |||||||
\(234\) | −1.29377e7 | + | 1.03175e7i | −1.00974 | + | 0.805243i | ||||
\(235\) | 6.58573e6 | + | 5.25194e6i | 0.507458 | + | 0.404684i | ||||
\(236\) | −6.74427e6 | + | 3.24787e6i | −0.513097 | + | 0.247094i | ||||
\(237\) | −5.85050e6 | − | 1.21487e7i | −0.439489 | − | 0.912609i | ||||
\(238\) | −2.00646e6 | + | 2.51603e6i | −0.148833 | + | 0.186631i | ||||
\(239\) | 9.04094e6 | + | 1.13370e7i | 0.662247 | + | 0.830431i | 0.993586 | − | 0.113081i | \(-0.0360719\pi\) |
−0.331339 | + | 0.943512i | \(0.607500\pi\) | |||||||
\(240\) | 1.22878e7 | − | 5.91748e6i | 0.888872 | − | 0.428058i | ||||
\(241\) | −2.65115e7 | − | 6.05107e6i | −1.89401 | − | 0.432296i | −0.894133 | − | 0.447802i | \(-0.852207\pi\) |
−0.999880 | + | 0.0155062i | \(0.995064\pi\) | |||||||
\(242\) | 2.58978e7 | + | 5.91100e6i | 1.82733 | + | 0.417076i | ||||
\(243\) | −1.06247e7 | + | 8.47290e6i | −0.740452 | + | 0.590491i | ||||
\(244\) | 7.09161e6 | − | 1.47259e7i | 0.488175 | − | 1.01370i | ||||
\(245\) | −1.79408e7 | + | 4.09487e6i | −1.21995 | + | 0.278446i | ||||
\(246\) | −1.27365e7 | − | 6.13356e6i | −0.855546 | − | 0.412009i | ||||
\(247\) | 775064. | + | 618093.i | 0.0514336 | + | 0.0410169i | ||||
\(248\) | −1.45498e6 | − | 332089.i | −0.0953895 | − | 0.0217720i | ||||
\(249\) | 6.31619e6 | + | 5.03699e6i | 0.409126 | + | 0.326267i | ||||
\(250\) | −1.27494e7 | − | 5.58586e7i | −0.815959 | − | 3.57495i | ||||
\(251\) | −3.99842e6 | −0.252853 | −0.126426 | − | 0.991976i | \(-0.540351\pi\) | ||||
−0.126426 | + | 0.991976i | \(0.540351\pi\) | |||||||
\(252\) | − | 5.83995e6i | − | 0.364928i | ||||||
\(253\) | 3.68148e6 | + | 1.61296e7i | 0.227332 | + | 0.996008i | ||||
\(254\) | 1.08039e7 | − | 8.61585e6i | 0.659296 | − | 0.525771i | ||||
\(255\) | 5.25433e6 | − | 2.53035e6i | 0.316882 | − | 0.152602i | ||||
\(256\) | −8.97576e6 | − | 4.32250e6i | −0.534997 | − | 0.257641i | ||||
\(257\) | 4.12374e6i | 0.242936i | 0.992595 | + | 0.121468i | \(0.0387602\pi\) | ||||
−0.992595 | + | 0.121468i | \(0.961240\pi\) | |||||||
\(258\) | 1.57008e7 | + | 6.07439e6i | 0.914248 | + | 0.353707i | ||||
\(259\) | 2.14836e6 | 0.123654 | ||||||||
\(260\) | −2.57005e7 | + | 5.33677e7i | −1.46225 | + | 3.03640i | ||||
\(261\) | −7.80414e6 | − | 1.62055e7i | −0.438939 | − | 0.911465i | ||||
\(262\) | 2.30292e7 | + | 2.88777e7i | 1.28048 | + | 1.60568i | ||||
\(263\) | −1.42719e7 | + | 3.25747e6i | −0.784539 | + | 0.179066i | −0.595984 | − | 0.802997i | \(-0.703238\pi\) |
−0.188556 | + | 0.982063i | \(0.560381\pi\) | |||||||
\(264\) | −4.48547e6 | −0.243779 | ||||||||
\(265\) | 5.32355e7i | 2.86065i | ||||||||
\(266\) | −633880. | + | 144679.i | −0.0336792 | + | 0.00768707i | ||||
\(267\) | 4.26307e6 | − | 5.34572e6i | 0.223969 | − | 0.280848i | ||||
\(268\) | −6.79684e6 | + | 2.97789e7i | −0.353104 | + | 1.54705i | ||||
\(269\) | 5.17499e6 | − | 6.48923e6i | 0.265860 | − | 0.333378i | −0.630926 | − | 0.775843i | \(-0.717325\pi\) |
0.896785 | + | 0.442466i | \(0.145896\pi\) | |||||||
\(270\) | −2.38786e7 | + | 4.95843e7i | −1.21316 | + | 2.51914i | ||||
\(271\) | −5.82341e6 | − | 2.55140e7i | −0.292597 | − | 1.28195i | −0.880897 | − | 0.473308i | \(-0.843060\pi\) |
0.588300 | − | 0.808643i | \(-0.299797\pi\) | |||||||
\(272\) | −4.21867e6 | − | 2.03160e6i | −0.209637 | − | 0.100956i | ||||
\(273\) | 7.51446e6 | + | 9.42283e6i | 0.369326 | + | 0.463120i | ||||
\(274\) | 2.97540e6 | − | 1.30361e7i | 0.144642 | − | 0.633717i | ||||
\(275\) | 1.64665e7 | − | 7.21443e7i | 0.791776 | − | 3.46900i | ||||
\(276\) | −4.79661e6 | − | 9.96027e6i | −0.228143 | − | 0.473744i | ||||
\(277\) | 1.19693e7 | − | 9.54520e6i | 0.563157 | − | 0.449103i | −0.300071 | − | 0.953917i | \(-0.597010\pi\) |
0.863228 | + | 0.504814i | \(0.168439\pi\) | |||||||
\(278\) | 1.67449e7 | + | 1.33536e7i | 0.779379 | + | 0.621534i | ||||
\(279\) | −4.38771e6 | + | 2.11301e6i | −0.202035 | + | 0.0972947i | ||||
\(280\) | −2.38627e6 | − | 4.95515e6i | −0.108704 | − | 0.225726i | ||||
\(281\) | 2.47365e6 | − | 3.10185e6i | 0.111486 | − | 0.139798i | −0.722958 | − | 0.690892i | \(-0.757218\pi\) |
0.834443 | + | 0.551094i | \(0.185789\pi\) | |||||||
\(282\) | −4.85365e6 | − | 6.08628e6i | −0.216432 | − | 0.271397i | ||||
\(283\) | 2.65081e7 | − | 1.27656e7i | 1.16955 | − | 0.563227i | 0.254702 | − | 0.967019i | \(-0.418022\pi\) |
0.914851 | + | 0.403792i | \(0.132308\pi\) | |||||||
\(284\) | 8.80776e6 | + | 2.01031e6i | 0.384513 | + | 0.0877625i | ||||
\(285\) | 1.14872e6 | + | 262187.i | 0.0496225 | + | 0.0113260i | ||||
\(286\) | −6.40502e7 | + | 5.10783e7i | −2.73793 | + | 2.18343i | ||||
\(287\) | 5.59684e6 | − | 1.16220e7i | 0.236754 | − | 0.491625i | ||||
\(288\) | 1.85381e7 | − | 4.23121e6i | 0.776048 | − | 0.177128i | ||||
\(289\) | 1.99433e7 | + | 9.60417e6i | 0.826233 | + | 0.397893i | ||||
\(290\) | −9.35481e7 | − | 7.46021e7i | −3.83567 | − | 3.05884i | ||||
\(291\) | −1.52926e6 | − | 349044.i | −0.0620588 | − | 0.0141645i | ||||
\(292\) | −3.39841e6 | − | 2.71014e6i | −0.136498 | − | 0.108854i | ||||
\(293\) | 1.52240e6 | + | 6.67008e6i | 0.0605238 | + | 0.265172i | 0.996132 | − | 0.0878674i | \(-0.0280052\pi\) |
−0.935608 | + | 0.353040i | \(0.885148\pi\) | |||||||
\(294\) | 1.70066e7 | 0.669230 | ||||||||
\(295\) | 2.30043e7i | 0.896071i | ||||||||
\(296\) | −307394. | − | 1.34678e6i | −0.0118528 | − | 0.0519303i | ||||
\(297\) | −3.20214e7 | + | 2.55362e7i | −1.22228 | + | 0.974736i | ||||
\(298\) | 2.45032e7 | − | 1.18001e7i | 0.925922 | − | 0.445901i | ||||
\(299\) | −2.57536e7 | − | 1.24023e7i | −0.963439 | − | 0.463968i | ||||
\(300\) | 4.94469e7i | 1.83137i | ||||||||
\(301\) | −5.54285e6 | + | 1.43269e7i | −0.203252 | + | 0.525356i | ||||
\(302\) | 2.84756e7 | 1.03384 | ||||||||
\(303\) | 9.67930e6 | − | 2.00993e7i | 0.347949 | − | 0.722524i | ||||
\(304\) | −410461. | − | 852331.i | −0.0146100 | − | 0.0303380i | ||||
\(305\) | −3.13172e7 | − | 3.92706e7i | −1.10378 | − | 1.38410i | ||||
\(306\) | 6.58319e6 | − | 1.50257e6i | 0.229759 | − | 0.0524409i | ||||
\(307\) | 4.18713e7 | 1.44711 | 0.723555 | − | 0.690267i | \(-0.242507\pi\) | ||||
0.723555 | + | 0.690267i | \(0.242507\pi\) | |||||||
\(308\) | − | 2.89115e7i | − | 0.989508i | ||||||
\(309\) | −1.32085e7 | + | 3.01476e6i | −0.447691 | + | 0.102183i | ||||
\(310\) | −2.01989e7 | + | 2.53286e7i | −0.678020 | + | 0.850210i | ||||
\(311\) | −1.46226e6 | + | 6.40660e6i | −0.0486121 | + | 0.212984i | −0.993400 | − | 0.114698i | \(-0.963410\pi\) |
0.944788 | + | 0.327681i | \(0.106267\pi\) | |||||||
\(312\) | 4.83186e6 | − | 6.05896e6i | 0.159093 | − | 0.199496i | ||||
\(313\) | 2.55161e6 | − | 5.29847e6i | 0.0832111 | − | 0.172790i | −0.855212 | − | 0.518279i | \(-0.826573\pi\) |
0.938423 | + | 0.345490i | \(0.112287\pi\) | |||||||
\(314\) | 1.54472e7 | + | 6.76784e7i | 0.498953 | + | 2.18605i | ||||
\(315\) | −1.61697e7 | − | 7.78691e6i | −0.517333 | − | 0.249134i | ||||
\(316\) | −3.48440e7 | − | 4.36930e7i | −1.10425 | − | 1.38469i | ||||
\(317\) | −1.13411e6 | + | 4.96888e6i | −0.0356024 | + | 0.155984i | −0.989605 | − | 0.143816i | \(-0.954063\pi\) |
0.954002 | + | 0.299800i | \(0.0969199\pi\) | |||||||
\(318\) | 1.09476e7 | − | 4.79648e7i | 0.340439 | − | 1.49156i | ||||
\(319\) | −3.86356e7 | − | 8.02276e7i | −1.19019 | − | 2.47145i | ||||
\(320\) | 6.09586e7 | − | 4.86129e7i | 1.86031 | − | 1.48355i | ||||
\(321\) | −9.09953e6 | − | 7.25664e6i | −0.275109 | − | 0.219392i | ||||
\(322\) | 1.68907e7 | − | 8.13414e6i | 0.505918 | − | 0.243637i | ||||
\(323\) | −175516. | − | 364462.i | −0.00520845 | − | 0.0108155i | ||||
\(324\) | 3.32522e6 | − | 4.16969e6i | 0.0977654 | − | 0.122594i | ||||
\(325\) | 7.97141e7 | + | 9.99583e7i | 2.32212 | + | 2.91185i | ||||
\(326\) | 4.35973e7 | − | 2.09954e7i | 1.25837 | − | 0.605997i | ||||
\(327\) | −1.03542e7 | − | 2.36329e6i | −0.296125 | − | 0.0675885i | ||||
\(328\) | −8.08646e6 | − | 1.84568e6i | −0.229159 | − | 0.0523041i | ||||
\(329\) | 5.55370e6 | − | 4.42893e6i | 0.155953 | − | 0.124369i | ||||
\(330\) | −4.22471e7 | + | 8.77270e7i | −1.17559 | + | 2.44113i | ||||
\(331\) | −9.76974e6 | + | 2.22988e6i | −0.269401 | + | 0.0614890i | −0.355087 | − | 0.934833i | \(-0.615549\pi\) |
0.0856864 | + | 0.996322i | \(0.472692\pi\) | |||||||
\(332\) | 3.01669e7 | + | 1.45276e7i | 0.824360 | + | 0.396991i | ||||
\(333\) | −3.52438e6 | − | 2.81060e6i | −0.0954442 | − | 0.0761142i | ||||
\(334\) | 5.15890e7 | + | 1.17748e7i | 1.38458 | + | 0.316021i | ||||
\(335\) | 7.33892e7 | + | 5.85259e7i | 1.95208 | + | 1.55673i | ||||
\(336\) | −2.55925e6 | − | 1.12128e7i | −0.0674676 | − | 0.295595i | ||||
\(337\) | −5.08614e7 | −1.32892 | −0.664459 | − | 0.747325i | \(-0.731338\pi\) | ||||
−0.664459 | + | 0.747325i | \(0.731338\pi\) | |||||||
\(338\) | − | 8.47255e7i | − | 2.19414i | ||||||
\(339\) | 86729.9 | + | 379989.i | 0.00222623 | + | 0.00975375i | ||||
\(340\) | 1.88973e7 | − | 1.50701e7i | 0.480799 | − | 0.383424i | ||||
\(341\) | −2.17220e7 | + | 1.04608e7i | −0.547819 | + | 0.263816i | ||||
\(342\) | 1.22915e6 | + | 591929.i | 0.0307275 | + | 0.0147976i | ||||
\(343\) | 3.82497e7i | 0.947864i | ||||||||
\(344\) | 9.77445e6 | + | 1.42480e6i | 0.240114 | + | 0.0350009i | ||||
\(345\) | −3.39738e7 | −0.827346 | ||||||||
\(346\) | −4.31734e7 | + | 8.96504e7i | −1.04229 | + | 2.16433i | ||||
\(347\) | 7.35240e6 | + | 1.52674e7i | 0.175971 | + | 0.365407i | 0.970235 | − | 0.242165i | \(-0.0778577\pi\) |
−0.794264 | + | 0.607573i | \(0.792143\pi\) | |||||||
\(348\) | 3.70982e7 | + | 4.65197e7i | 0.880269 | + | 1.10382i | ||||
\(349\) | 2.85357e7 | − | 6.51309e6i | 0.671294 | − | 0.153218i | 0.126729 | − | 0.991937i | \(-0.459552\pi\) |
0.544565 | + | 0.838719i | \(0.316695\pi\) | |||||||
\(350\) | −8.38525e7 | −1.95574 | ||||||||
\(351\) | − | 7.07625e7i | − | 1.63637i | ||||||
\(352\) | 9.17758e7 | − | 2.09472e7i | 2.10426 | − | 0.480284i | ||||
\(353\) | 6.30440e6 | − | 7.90546e6i | 0.143324 | − | 0.179723i | −0.704988 | − | 0.709219i | \(-0.749048\pi\) |
0.848312 | + | 0.529496i | \(0.177619\pi\) | |||||||
\(354\) | 4.73072e6 | − | 2.07267e7i | 0.106639 | − | 0.467218i | ||||
\(355\) | 1.73103e7 | − | 2.17065e7i | 0.386919 | − | 0.485182i | ||||
\(356\) | 1.22955e7 | − | 2.55318e7i | 0.272518 | − | 0.565890i | ||||
\(357\) | −1.09435e6 | − | 4.79468e6i | −0.0240521 | − | 0.105379i | ||||
\(358\) | −7.40772e7 | − | 3.56737e7i | −1.61449 | − | 0.777498i | ||||
\(359\) | −359904. | − | 451305.i | −0.00777864 | − | 0.00975410i | 0.777927 | − | 0.628355i | \(-0.216271\pi\) |
−0.785706 | + | 0.618601i | \(0.787700\pi\) | |||||||
\(360\) | −2.56791e6 | + | 1.12507e7i | −0.0550392 | + | 0.241142i | ||||
\(361\) | −1.04505e7 | + | 4.57867e7i | −0.222134 | + | 0.973234i | ||||
\(362\) | −1.30809e7 | − | 2.71628e7i | −0.275748 | − | 0.572597i | ||||
\(363\) | −3.17386e7 | + | 2.53107e7i | −0.663541 | + | 0.529157i | ||||
\(364\) | 3.90536e7 | + | 3.11442e7i | 0.809760 | + | 0.645762i | ||||
\(365\) | −1.20353e7 | + | 5.79588e6i | −0.247501 | + | 0.119190i | ||||
\(366\) | 2.01408e7 | + | 4.18227e7i | 0.410802 | + | 0.853039i | ||||
\(367\) | −3.98378e7 | + | 4.99551e7i | −0.805931 | + | 1.01061i | 0.193633 | + | 0.981074i | \(0.437973\pi\) |
−0.999564 | + | 0.0295311i | \(0.990599\pi\) | |||||||
\(368\) | 1.70071e7 | + | 2.13263e7i | 0.341262 | + | 0.427929i | ||||
\(369\) | −2.43860e7 | + | 1.17437e7i | −0.485358 | + | 0.233736i | ||||
\(370\) | −2.92356e7 | − | 6.67283e6i | −0.577174 | − | 0.131736i | ||||
\(371\) | 4.37676e7 | + | 9.98968e6i | 0.857100 | + | 0.195627i | ||||
\(372\) | 1.25954e7 | − | 1.00445e7i | 0.244672 | − | 0.195120i | ||||
\(373\) | −3.14596e7 | + | 6.53266e7i | −0.606215 | + | 1.25882i | 0.341554 | + | 0.939862i | \(0.389047\pi\) |
−0.947769 | + | 0.318957i | \(0.896667\pi\) | |||||||
\(374\) | 3.25911e7 | − | 7.43870e6i | 0.622994 | − | 0.142194i | ||||
\(375\) | 7.88882e7 | + | 3.79906e7i | 1.49595 | + | 0.720414i | ||||
\(376\) | −3.57107e6 | − | 2.84784e6i | −0.0671793 | − | 0.0535737i | ||||
\(377\) | 1.49990e8 | + | 3.42343e7i | 2.79923 | + | 0.638906i | ||||
\(378\) | 3.62850e7 | + | 2.89363e7i | 0.671817 | + | 0.535757i | ||||
\(379\) | −1.90499e7 | − | 8.34633e7i | −0.349926 | − | 1.53313i | −0.777346 | − | 0.629073i | \(-0.783435\pi\) |
0.427421 | − | 0.904053i | \(-0.359422\pi\) | |||||||
\(380\) | 4.88337e6 | 0.0889957 | ||||||||
\(381\) | 2.11180e7i | 0.381838i | ||||||||
\(382\) | −1.33914e7 | − | 5.86716e7i | −0.240235 | − | 1.05254i | ||||
\(383\) | −5.77325e7 | + | 4.60402e7i | −1.02760 | + | 0.819484i | −0.983748 | − | 0.179554i | \(-0.942535\pi\) |
−0.0438526 | + | 0.999038i | \(0.513963\pi\) | |||||||
\(384\) | −1.62705e7 | + | 7.83547e6i | −0.287348 | + | 0.138379i | ||||
\(385\) | −8.00505e7 | − | 3.85503e7i | −1.40276 | − | 0.675531i | ||||
\(386\) | − | 1.03546e8i | − | 1.80041i | ||||||
\(387\) | 2.78363e7 | − | 1.62518e7i | 0.480262 | − | 0.280394i | ||||
\(388\) | −6.50113e6 | −0.111300 | ||||||||
\(389\) | 3.50636e6 | − | 7.28103e6i | 0.0595672 | − | 0.123693i | −0.869060 | − | 0.494707i | \(-0.835276\pi\) |
0.928627 | + | 0.371014i | \(0.120990\pi\) | |||||||
\(390\) | −7.29917e7 | − | 1.51569e8i | −1.23049 | − | 2.55515i | ||||
\(391\) | 7.27237e6 | + | 9.11926e6i | 0.121659 | + | 0.152556i | ||||
\(392\) | 9.72829e6 | − | 2.22042e6i | 0.161502 | − | 0.0368618i | ||||
\(393\) | −5.64461e7 | −0.929942 | ||||||||
\(394\) | − | 7.30537e7i | − | 1.19441i | ||||||
\(395\) | −1.67438e8 | + | 3.82167e7i | −2.71684 | + | 0.620100i | ||||
\(396\) | −3.78236e7 | + | 4.74292e7i | −0.609083 | + | 0.763766i | ||||
\(397\) | 377269. | − | 1.65292e6i | 0.00602948 | − | 0.0264169i | −0.971824 | − | 0.235709i | \(-0.924259\pi\) |
0.977853 | + | 0.209292i | \(0.0671159\pi\) | |||||||
\(398\) | 4.02197e7 | − | 5.04339e7i | 0.637954 | − | 0.799969i | ||||
\(399\) | 431115. | − | 895219.i | 0.00678694 | − | 0.0140932i | ||||
\(400\) | −2.71488e7 | − | 1.18947e8i | −0.424200 | − | 1.85854i | ||||
\(401\) | 8.28259e7 | + | 3.98868e7i | 1.28450 | + | 0.618581i | 0.946542 | − | 0.322582i | \(-0.104551\pi\) |
0.337955 | + | 0.941162i | \(0.390265\pi\) | |||||||
\(402\) | −5.40875e7 | − | 6.78235e7i | −0.832566 | − | 1.04400i | ||||
\(403\) | 9.26911e6 | − | 4.06106e7i | 0.141619 | − | 0.620475i | ||||
\(404\) | 2.05741e7 | − | 9.01410e7i | 0.312016 | − | 1.36703i | ||||
\(405\) | −7.11127e6 | − | 1.47667e7i | −0.107049 | − | 0.222289i | ||||
\(406\) | −7.88885e7 | + | 6.29115e7i | −1.17879 | + | 0.940052i | ||||
\(407\) | −1.74480e7 | − | 1.39143e7i | −0.258798 | − | 0.206385i | ||||
\(408\) | −2.84913e6 | + | 1.37207e6i | −0.0419500 | + | 0.0202021i | ||||
\(409\) | 3.00331e7 | + | 6.23644e7i | 0.438965 | + | 0.911521i | 0.996675 | + | 0.0814844i | \(0.0259661\pi\) |
−0.557709 | + | 0.830036i | \(0.688320\pi\) | |||||||
\(410\) | −1.12261e8 | + | 1.40771e8i | −1.62884 | + | 2.04250i | ||||
\(411\) | 1.27406e7 | + | 1.59762e7i | 0.183511 | + | 0.230116i | ||||
\(412\) | −5.05907e7 | + | 2.43632e7i | −0.723401 | + | 0.348372i | ||||
\(413\) | 1.89130e7 | + | 4.31676e6i | 0.268479 | + | 0.0612785i | ||||
\(414\) | −3.83506e7 | − | 8.75328e6i | −0.540470 | − | 0.123359i | ||||
\(415\) | 8.04484e7 | − | 6.41555e7i | 1.12557 | − | 0.897614i | ||||
\(416\) | −7.05676e7 | + | 1.46535e8i | −0.980224 | + | 2.03546i | ||||
\(417\) | −3.19100e7 | + | 7.28326e6i | −0.440067 | + | 0.100442i | ||||
\(418\) | 6.08511e6 | + | 2.93043e6i | 0.0833181 | + | 0.0401239i | ||||
\(419\) | −3.55968e7 | − | 2.83875e7i | −0.483914 | − | 0.385909i | 0.350924 | − | 0.936404i | \(-0.385868\pi\) |
−0.834838 | + | 0.550495i | \(0.814439\pi\) | |||||||
\(420\) | 5.78810e7 | + | 1.32110e7i | 0.781247 | + | 0.178315i | ||||
\(421\) | 3.17210e7 | + | 2.52966e7i | 0.425109 | + | 0.339013i | 0.812560 | − | 0.582877i | \(-0.198073\pi\) |
−0.387452 | + | 0.921890i | \(0.626645\pi\) | |||||||
\(422\) | 2.65637e7 | + | 1.16383e8i | 0.353468 | + | 1.54865i | ||||
\(423\) | −1.49050e7 | −0.196929 | ||||||||
\(424\) | − | 2.88667e7i | − | 0.378704i | ||||||
\(425\) | −1.16090e7 | − | 5.08624e7i | −0.151227 | − | 0.662567i | ||||
\(426\) | −2.00603e7 | + | 1.59976e7i | −0.259483 | + | 0.206931i | ||||
\(427\) | −3.81630e7 | + | 1.83783e7i | −0.490184 | + | 0.236060i | ||||
\(428\) | −4.34605e7 | − | 2.09295e7i | −0.554324 | − | 0.266948i | ||||
\(429\) | − | 1.25197e8i | − | 1.58570i | ||||||
\(430\) | 1.19928e8 | − | 1.77749e8i | 1.50840 | − | 2.23564i | ||||
\(431\) | 1.19118e8 | 1.48781 | 0.743904 | − | 0.668286i | \(-0.232972\pi\) | ||||
0.743904 | + | 0.668286i | \(0.232972\pi\) | |||||||
\(432\) | −2.92988e7 | + | 6.08397e7i | −0.363412 | + | 0.754633i | ||||
\(433\) | 4.26839e7 | + | 8.86340e7i | 0.525776 | + | 1.09178i | 0.979649 | + | 0.200718i | \(0.0643275\pi\) |
−0.453873 | + | 0.891066i | \(0.649958\pi\) | |||||||
\(434\) | 1.70336e7 | + | 2.13595e7i | 0.208371 | + | 0.261289i | ||||
\(435\) | 1.78270e8 | − | 4.06890e7i | 2.16577 | − | 0.494322i | ||||
\(436\) | −4.40174e7 | −0.531087 | ||||||||
\(437\) | 2.35656e6i | 0.0282381i | ||||||||
\(438\) | 1.20356e7 | − | 2.74704e6i | 0.143233 | − | 0.0326921i | ||||
\(439\) | −7.29304e7 | + | 9.14519e7i | −0.862016 | + | 1.08093i | 0.133931 | + | 0.990991i | \(0.457240\pi\) |
−0.995947 | + | 0.0899429i | \(0.971332\pi\) | |||||||
\(440\) | −1.27128e7 | + | 5.56985e7i | −0.149239 | + | 0.653861i | ||||
\(441\) | 2.03020e7 | − | 2.54579e7i | 0.236714 | − | 0.296829i | ||||
\(442\) | −2.50597e7 | + | 5.20370e7i | −0.290208 | + | 0.602622i | ||||
\(443\) | −1.36171e7 | − | 5.96605e7i | −0.156630 | − | 0.686239i | −0.990868 | − | 0.134835i | \(-0.956950\pi\) |
0.834238 | − | 0.551404i | \(-0.185908\pi\) | |||||||
\(444\) | 1.34354e7 | + | 6.47015e6i | 0.153498 | + | 0.0739206i | ||||
\(445\) | −5.42981e7 | − | 6.80876e7i | −0.616175 | − | 0.772659i | ||||
\(446\) | −3.35924e7 | + | 1.47178e8i | −0.378649 | + | 1.65897i | ||||
\(447\) | −9.24845e6 | + | 4.05201e7i | −0.103549 | + | 0.453678i | ||||
\(448\) | −2.85282e7 | − | 5.92394e7i | −0.317278 | − | 0.658835i | ||||
\(449\) | 1.31659e8 | − | 1.04994e8i | 1.45449 | − | 1.15992i | 0.498360 | − | 0.866970i | \(-0.333936\pi\) |
0.956129 | − | 0.292947i | \(-0.0946358\pi\) | |||||||
\(450\) | 1.37560e8 | + | 1.09700e8i | 1.50957 | + | 1.20384i | ||||
\(451\) | −1.20727e8 | + | 5.81389e7i | −1.31605 | + | 0.633778i | ||||
\(452\) | 700891. | + | 1.45542e6i | 0.00758989 | + | 0.0157606i | ||||
\(453\) | −2.71324e7 | + | 3.40229e7i | −0.291872 | + | 0.365996i | ||||
\(454\) | 1.56073e8 | + | 1.95710e8i | 1.66787 | + | 2.09144i | ||||
\(455\) | 1.38306e8 | − | 6.66046e7i | 1.46827 | − | 0.707082i | ||||
\(456\) | −622886. | − | 142170.i | −0.00656922 | − | 0.00149938i | ||||
\(457\) | 1.01686e8 | + | 2.32091e7i | 1.06540 | + | 0.243170i | 0.719065 | − | 0.694942i | \(-0.244570\pi\) |
0.346331 | + | 0.938112i | \(0.387427\pi\) | |||||||
\(458\) | 3.49487e7 | − | 2.78707e7i | 0.363777 | − | 0.290102i | ||||
\(459\) | −1.25284e7 | + | 2.60155e7i | −0.129556 | + | 0.269025i | ||||
\(460\) | −1.37276e8 | + | 3.13325e7i | −1.41034 | + | 0.321900i | ||||
\(461\) | −4.31744e7 | − | 2.07917e7i | −0.440680 | − | 0.212221i | 0.200368 | − | 0.979721i | \(-0.435786\pi\) |
−0.641049 | + | 0.767500i | \(0.721500\pi\) | |||||||
\(462\) | 6.41971e7 | + | 5.11955e7i | 0.651013 | + | 0.519166i | ||||
\(463\) | −1.25633e8 | − | 2.86749e7i | −1.26579 | − | 0.288908i | −0.463634 | − | 0.886027i | \(-0.653455\pi\) |
−0.802153 | + | 0.597119i | \(0.796312\pi\) | |||||||
\(464\) | −1.14783e8 | − | 9.15364e7i | −1.14901 | − | 0.916304i | ||||
\(465\) | −1.10168e7 | − | 4.82676e7i | −0.109571 | − | 0.480061i | ||||
\(466\) | 1.95124e8 | 1.92821 | ||||||||
\(467\) | 1.14155e8i | 1.12085i | 0.828207 | + | 0.560423i | \(0.189361\pi\) | ||||
−0.828207 | + | 0.560423i | \(0.810639\pi\) | |||||||
\(468\) | −2.33228e7 | − | 1.02184e8i | −0.227532 | − | 0.996883i | ||||
\(469\) | 6.18887e7 | − | 4.93546e7i | 0.599919 | − | 0.478419i | ||||
\(470\) | −8.93328e7 | + | 4.30204e7i | −0.860433 | + | 0.414363i | ||||
\(471\) | −9.55811e7 | − | 4.60294e7i | −0.914765 | − | 0.440527i | ||||
\(472\) | − | 1.24739e7i | − | 0.118625i | ||||||
\(473\) | 1.37808e8 | − | 8.04571e7i | 1.30224 | − | 0.760293i | ||||
\(474\) | 1.58720e8 | 1.49037 | ||||||||
\(475\) | 4.57331e6 | − | 9.49657e6i | 0.0426726 | − | 0.0886106i | ||||
\(476\) | −8.84381e6 | − | 1.83644e7i | −0.0820009 | − | 0.170277i | ||||
\(477\) | −5.87316e7 | − | 7.36471e7i | −0.541149 | − | 0.678579i | ||||
\(478\) | −1.66405e8 | + | 3.79809e7i | −1.52364 | + | 0.347762i | ||||
\(479\) | 4.37961e7 | 0.398501 | 0.199250 | − | 0.979949i | \(-0.436149\pi\) | ||||
0.199250 | + | 0.979949i | \(0.436149\pi\) | |||||||
\(480\) | 1.93307e8i | 1.74793i | ||||||||
\(481\) | 3.75907e7 | − | 8.57983e6i | 0.337789 | − | 0.0770980i | ||||
\(482\) | 1.99573e8 | − | 2.50256e8i | 1.78222 | − | 2.23483i | ||||
\(483\) | −6.37520e6 | + | 2.79316e7i | −0.0565787 | + | 0.247887i | ||||
\(484\) | −1.04902e8 | + | 1.31543e8i | −0.925225 | + | 1.16020i | ||||
\(485\) | −8.66853e6 | + | 1.80004e7i | −0.0759836 | + | 0.157782i | ||||
\(486\) | −3.55946e7 | − | 1.55950e8i | −0.310081 | − | 1.35855i | ||||
\(487\) | −1.66148e7 | − | 8.00125e6i | −0.143849 | − | 0.0692741i | 0.360574 | − | 0.932730i | \(-0.382581\pi\) |
−0.504424 | + | 0.863456i | \(0.668295\pi\) | |||||||
\(488\) | 1.69816e7 | + | 2.12943e7i | 0.146123 | + | 0.183233i | ||||
\(489\) | −1.64553e7 | + | 7.20954e7i | −0.140728 | + | 0.616568i | ||||
\(490\) | 4.82004e7 | − | 2.11180e8i | 0.409696 | − | 1.79500i | ||||
\(491\) | 4.26932e7 | + | 8.86534e7i | 0.360674 | + | 0.748947i | 0.999797 | − | 0.0201577i | \(-0.00641683\pi\) |
−0.639123 | + | 0.769105i | \(0.720703\pi\) | |||||||
\(492\) | 7.00029e7 | − | 5.58255e7i | 0.587788 | − | 0.468745i | ||||
\(493\) | −4.90820e7 | − | 3.91416e7i | −0.409620 | − | 0.326661i | ||||
\(494\) | −1.05134e7 | + | 5.06300e6i | −0.0872095 | + | 0.0419979i | ||||
\(495\) | 8.08890e7 | + | 1.67968e8i | 0.666920 | + | 1.38487i | ||||
\(496\) | −2.47839e7 | + | 3.10781e7i | −0.203107 | + | 0.254688i | ||||
\(497\) | −1.45977e7 | − | 1.83049e7i | −0.118909 | − | 0.149107i | ||||
\(498\) | −8.56766e7 | + | 4.12597e7i | −0.693704 | + | 0.334070i | ||||
\(499\) | 3.99138e6 | + | 911005.i | 0.0321234 | + | 0.00733195i | 0.238552 | − | 0.971130i | \(-0.423327\pi\) |
−0.206429 | + | 0.978462i | \(0.566184\pi\) | |||||||
\(500\) | 3.53797e8 | + | 8.07519e7i | 2.83038 | + | 0.646015i | ||||
\(501\) | −6.32240e7 | + | 5.04195e7i | −0.502770 | + | 0.400945i | ||||
\(502\) | 2.04208e7 | − | 4.24042e7i | 0.161421 | − | 0.335195i | ||||
\(503\) | −8.22654e7 | + | 1.87765e7i | −0.646418 | + | 0.147541i | −0.533146 | − | 0.846023i | \(-0.678990\pi\) |
−0.113272 | + | 0.993564i | \(0.536133\pi\) | |||||||
\(504\) | 8.76793e6 | + | 4.22241e6i | 0.0684866 | + | 0.0329814i | ||||
\(505\) | −2.22150e8 | − | 1.77159e8i | −1.72493 | − | 1.37559i | ||||
\(506\) | −1.89861e8 | − | 4.33344e7i | −1.46549 | − | 0.334489i | ||||
\(507\) | 1.01231e8 | + | 8.07287e7i | 0.776762 | + | 0.619447i | ||||
\(508\) | 1.94762e7 | + | 8.53307e7i | 0.148564 | + | 0.650900i | ||||
\(509\) | 2.96715e7 | 0.225002 | 0.112501 | − | 0.993652i | \(-0.464114\pi\) | ||||
0.112501 | + | 0.993652i | \(0.464114\pi\) | |||||||
\(510\) | 6.86465e7i | 0.517497i | ||||||||
\(511\) | 2.50666e6 | + | 1.09824e7i | 0.0187859 | + | 0.0823066i | ||||
\(512\) | 1.41915e8 | − | 1.13174e8i | 1.05735 | − | 0.843209i | ||||
\(513\) | −5.25611e6 | + | 2.53121e6i | −0.0389325 | + | 0.0187489i | ||||
\(514\) | −4.37332e7 | − | 2.10608e7i | −0.322049 | − | 0.155091i | ||||
\(515\) | 1.72562e8i | 1.26335i | ||||||||
\(516\) | −7.78118e7 | + | 7.29044e7i | −0.566365 | + | 0.530646i | ||||
\(517\) | −7.37893e7 | −0.533976 | ||||||||
\(518\) | −1.09721e7 | + | 2.27839e7i | −0.0789409 | + | 0.163922i | ||||
\(519\) | −6.59782e7 | − | 1.37005e8i | −0.471953 | − | 0.980020i | ||||
\(520\) | −6.15427e7 | − | 7.71721e7i | −0.437690 | − | 0.548845i | ||||
\(521\) | −4.41496e7 | + | 1.00769e7i | −0.312186 | + | 0.0712545i | −0.375743 | − | 0.926724i | \(-0.622613\pi\) |
0.0635572 | + | 0.997978i | \(0.479755\pi\) | |||||||
\(522\) | 2.11720e8 | 1.48851 | ||||||||
\(523\) | − | 2.62682e8i | − | 1.83622i | −0.396323 | − | 0.918111i | \(-0.629714\pi\) | ||
0.396323 | − | 0.918111i | \(-0.370286\pi\) | |||||||
\(524\) | −2.28079e8 | + | 5.20575e7i | −1.58523 | + | 0.361818i | ||||
\(525\) | 7.98969e7 | − | 1.00188e8i | 0.552144 | − | 0.692366i | ||||
\(526\) | 3.83434e7 | − | 1.67993e8i | 0.263471 | − | 1.15434i | ||||
\(527\) | −1.05978e7 | + | 1.32892e7i | −0.0724074 | + | 0.0907960i | ||||
\(528\) | −5.18370e7 | + | 1.07641e8i | −0.352158 | + | 0.731264i | ||||
\(529\) | 1.78210e7 | + | 7.80790e7i | 0.120383 | + | 0.527433i | ||||
\(530\) | −5.64575e8 | − | 2.71885e8i | −3.79223 | − | 1.82624i | ||||
\(531\) | −2.53792e7 | − | 3.18245e7i | −0.169510 | − | 0.212559i | ||||
\(532\) | 916367. | − | 4.01487e6i | 0.00608604 | − | 0.0266647i | ||||
\(533\) | 5.15158e7 | − | 2.25706e8i | 0.340219 | − | 1.49060i | ||||
\(534\) | 3.49202e7 | + | 7.25125e7i | 0.229326 | + | 0.476200i | ||||
\(535\) | −1.15899e8 | + | 9.24267e7i | −0.756868 | + | 0.603582i | ||||
\(536\) | −3.97949e7 | − | 3.17354e7i | −0.258424 | − | 0.206086i | ||||
\(537\) | 1.13206e8 | − | 5.45171e7i | 0.731049 | − | 0.352055i | ||||
\(538\) | 4.23901e7 | + | 8.80239e7i | 0.272218 | + | 0.565267i | ||||
\(539\) | 1.00508e8 | − | 1.26033e8i | 0.641852 | − | 0.804857i | ||||
\(540\) | −2.17334e8 | − | 2.72528e8i | −1.38021 | − | 1.73073i | ||||
\(541\) | −2.16633e8 | + | 1.04325e8i | −1.36815 | + | 0.658866i | −0.966438 | − | 0.256901i | \(-0.917299\pi\) |
−0.401711 | + | 0.915766i | \(0.631584\pi\) | |||||||
\(542\) | 3.00324e8 | + | 6.85469e7i | 1.88622 | + | 0.430517i | ||||
\(543\) | 4.49182e7 | + | 1.02523e7i | 0.280558 | + | 0.0640355i | ||||
\(544\) | 5.18876e7 | − | 4.13790e7i | 0.322305 | − | 0.257029i | ||||
\(545\) | −5.86923e7 | + | 1.21876e8i | −0.362570 | + | 0.752884i | ||||
\(546\) | −1.38309e8 | + | 3.15682e7i | −0.849715 | + | 0.193942i | ||||
\(547\) | 1.05611e8 | + | 5.08594e7i | 0.645276 | + | 0.310749i | 0.727748 | − | 0.685845i | \(-0.240567\pi\) |
−0.0824716 | + | 0.996593i | \(0.526281\pi\) | |||||||
\(548\) | 6.62142e7 | + | 5.28041e7i | 0.402355 | + | 0.320868i | ||||
\(549\) | 8.66497e7 | + | 1.97772e7i | 0.523661 | + | 0.119522i | ||||
\(550\) | 6.81009e8 | + | 5.43087e8i | 4.09322 | + | 3.26423i | ||||
\(551\) | −2.82236e6 | − | 1.23656e7i | −0.0168717 | − | 0.0739196i | ||||
\(552\) | 1.84221e7 | 0.109527 | ||||||||
\(553\) | 1.44831e8i | 0.856418i | ||||||||
\(554\) | 4.00993e7 | + | 1.75687e8i | 0.235835 | + | 1.03326i | ||||
\(555\) | 3.58292e7 | − | 2.85728e7i | 0.209584 | − | 0.167138i | ||||
\(556\) | −1.22220e8 | + | 5.88583e7i | −0.711082 | + | 0.342439i | ||||
\(557\) | −2.75080e8 | − | 1.32472e8i | −1.59182 | − | 0.766579i | −0.592576 | − | 0.805515i | \(-0.701889\pi\) |
−0.999242 | + | 0.0389357i | \(0.987603\pi\) | |||||||
\(558\) | − | 5.73243e7i | − | 0.329941i | ||||||
\(559\) | −3.97684e7 | + | 2.72820e8i | −0.227668 | + | 1.56186i | ||||
\(560\) | −1.46489e8 | −0.834143 | ||||||||
\(561\) | −2.21658e7 | + | 4.60278e7i | −0.125544 | + | 0.260695i | ||||
\(562\) | 2.02624e7 | + | 4.20754e7i | 0.114152 | + | 0.237039i | ||||
\(563\) | −1.15129e8 | − | 1.44367e8i | −0.645148 | − | 0.808990i | 0.346488 | − | 0.938054i | \(-0.387374\pi\) |
−0.991636 | + | 0.129064i | \(0.958803\pi\) | |||||||
\(564\) | 4.80701e7 | − | 1.09717e7i | 0.267940 | − | 0.0611556i | ||||
\(565\) | 4.96433e6 | 0.0275242 | ||||||||
\(566\) | 3.46322e8i | 1.90999i | ||||||||
\(567\) | −1.34749e7 | + | 3.07555e6i | −0.0739224 | + | 0.0168723i | ||||
\(568\) | −9.38644e6 | + | 1.17702e7i | −0.0512219 | + | 0.0642303i | ||||
\(569\) | −4.89281e7 | + | 2.14368e8i | −0.265596 | + | 1.16365i | 0.649482 | + | 0.760377i | \(0.274986\pi\) |
−0.915078 | + | 0.403276i | \(0.867871\pi\) | |||||||
\(570\) | −8.64730e6 | + | 1.08434e7i | −0.0466934 | + | 0.0585517i | ||||
\(571\) | 9.19833e7 | − | 1.91005e8i | 0.494084 | − | 1.02598i | −0.493626 | − | 0.869674i | \(-0.664329\pi\) |
0.987709 | − | 0.156301i | \(-0.0499570\pi\) | |||||||
\(572\) | −1.15463e8 | − | 5.05876e8i | −0.616956 | − | 2.70306i | ||||
\(573\) | 8.28610e7 | + | 3.99038e7i | 0.440440 | + | 0.212105i | ||||
\(574\) | 9.46694e7 | + | 1.18712e8i | 0.500580 | + | 0.627708i | ||||
\(575\) | −6.76288e7 | + | 2.96301e8i | −0.355736 | + | 1.55858i | ||||
\(576\) | −3.06997e7 | + | 1.34504e8i | −0.160645 | + | 0.703830i | ||||
\(577\) | −4.14121e7 | − | 8.59930e7i | −0.215576 | − | 0.447647i | 0.764937 | − | 0.644106i | \(-0.222770\pi\) |
−0.980512 | + | 0.196458i | \(0.937056\pi\) | |||||||
\(578\) | −2.03709e8 | + | 1.62452e8i | −1.05494 | + | 0.841284i | ||||
\(579\) | 1.23718e8 | + | 9.86616e7i | 0.637377 | + | 0.508291i | ||||
\(580\) | 6.82803e8 | − | 3.28821e8i | 3.49955 | − | 1.68529i | ||||
\(581\) | −3.76493e7 | − | 7.81795e7i | −0.191968 | − | 0.398625i | ||||
\(582\) | 1.15120e7 | − | 1.44355e7i | 0.0583957 | − | 0.0732258i | ||||
\(583\) | −2.90759e8 | − | 3.64601e8i | −1.46733 | − | 1.83998i | ||||
\(584\) | 6.52606e6 | − | 3.14278e6i | 0.0327652 | − | 0.0157789i | ||||
\(585\) | −3.14025e8 | − | 7.16742e7i | −1.56855 | − | 0.358010i | ||||
\(586\) | −7.85130e7 | − | 1.79201e7i | −0.390165 | − | 0.0890527i | ||||
\(587\) | −1.30417e8 | + | 1.04004e8i | −0.644792 | + | 0.514204i | −0.890408 | − | 0.455163i | \(-0.849581\pi\) |
0.245616 | + | 0.969367i | \(0.421010\pi\) | |||||||
\(588\) | −4.67363e7 | + | 9.70490e7i | −0.229891 | + | 0.477374i | ||||
\(589\) | −3.34804e6 | + | 764168.i | −0.0163849 | + | 0.00373975i | ||||
\(590\) | −2.43966e8 | − | 1.17488e8i | −1.18788 | − | 0.572053i | ||||
\(591\) | 8.72852e7 | + | 6.96076e7i | 0.422842 | + | 0.337205i | ||||
\(592\) | −3.58719e7 | − | 8.18752e6i | −0.172898 | − | 0.0394628i | ||||
\(593\) | −2.13464e8 | − | 1.70232e8i | −1.02367 | − | 0.816349i | −0.0405246 | − | 0.999179i | \(-0.512903\pi\) |
−0.983145 | + | 0.182830i | \(0.941474\pi\) | |||||||
\(594\) | −1.07277e8 | − | 4.70013e8i | −0.511857 | − | 2.24259i | ||||
\(595\) | −6.26396e7 | −0.297371 | ||||||||
\(596\) | 1.72257e8i | 0.813652i | ||||||||
\(597\) | 2.19364e7 | + | 9.61095e7i | 0.103096 | + | 0.451693i | ||||
\(598\) | 2.63058e8 | − | 2.09782e8i | 1.23012 | − | 0.980990i | ||||
\(599\) | −3.31960e7 | + | 1.59864e7i | −0.154456 | + | 0.0743822i | −0.509515 | − | 0.860462i | \(-0.670175\pi\) |
0.355059 | + | 0.934844i | \(0.384461\pi\) | |||||||
\(600\) | −7.42381e7 | − | 3.57512e7i | −0.343695 | − | 0.165515i | ||||
\(601\) | 8.92970e6i | 0.0411352i | 0.999788 | + | 0.0205676i | \(0.00654733\pi\) | ||||
−0.999788 | + | 0.0205676i | \(0.993453\pi\) | |||||||
\(602\) | −1.23632e8 | − | 1.31954e8i | −0.566685 | − | 0.604830i | ||||
\(603\) | −1.66096e8 | −0.757544 | ||||||||
\(604\) | −7.82548e7 | + | 1.62498e8i | −0.355140 | + | 0.737457i | ||||
\(605\) | 2.24342e8 | + | 4.65851e8i | 1.01308 | + | 2.10368i | ||||
\(606\) | 1.63723e8 | + | 2.05302e8i | 0.735686 | + | 0.922521i | ||||
\(607\) | 2.90669e8 | − | 6.63433e7i | 1.29967 | − | 0.296641i | 0.483953 | − | 0.875094i | \(-0.339200\pi\) |
0.815716 | + | 0.578453i | \(0.196343\pi\) | |||||||
\(608\) | 1.34086e7 | 0.0596585 | ||||||||
\(609\) | − | 1.54200e8i | − | 0.682706i | ||||||
\(610\) | 5.76418e8 | − | 1.31564e8i | 2.53950 | − | 0.579624i | ||||
\(611\) | 7.94875e7 | − | 9.96742e7i | 0.348478 | − | 0.436978i | ||||
\(612\) | −9.51697e6 | + | 4.16966e7i | −0.0415187 | + | 0.181906i | ||||
\(613\) | 2.69162e8 | − | 3.37518e8i | 1.16851 | − | 1.46526i | 0.311285 | − | 0.950317i | \(-0.399241\pi\) |
0.857223 | − | 0.514946i | \(-0.172188\pi\) | |||||||
\(614\) | −2.13846e8 | + | 4.44055e8i | −0.923837 | + | 1.91837i | ||||
\(615\) | −6.12290e7 | − | 2.68262e8i | −0.263228 | − | 1.15328i | ||||
\(616\) | 4.34070e7 | + | 2.09037e7i | 0.185702 | + | 0.0894295i | ||||
\(617\) | 1.75105e8 | + | 2.19575e8i | 0.745494 | + | 0.934820i | 0.999475 | − | 0.0323892i | \(-0.0103116\pi\) |
−0.253981 | + | 0.967209i | \(0.581740\pi\) | |||||||
\(618\) | 3.54865e7 | − | 1.55476e8i | 0.150348 | − | 0.658718i | ||||
\(619\) | 2.35932e7 | − | 1.03368e8i | 0.0994751 | − | 0.435829i | −0.900524 | − | 0.434806i | \(-0.856817\pi\) |
0.999999 | − | 0.00102345i | \(-0.000325774\pi\) | |||||||
\(620\) | −8.90299e7 | − | 1.84872e8i | −0.373560 | − | 0.775706i | ||||
\(621\) | 1.31514e8 | − | 1.04879e8i | 0.549157 | − | 0.437938i | ||||
\(622\) | −6.04754e7 | − | 4.82275e7i | −0.251309 | − | 0.200412i | ||||
\(623\) | −6.61673e7 | + | 3.18645e7i | −0.273640 | + | 0.131778i | ||||
\(624\) | −8.95604e7 | − | 1.85974e8i | −0.368606 | − | 0.765418i | ||||
\(625\) | 3.36150e8 | − | 4.21518e8i | 1.37687 | − | 1.72654i | ||||
\(626\) | 4.31599e7 | + | 5.41208e7i | 0.175937 | + | 0.220618i | ||||
\(627\) | −9.29936e6 | + | 4.47834e6i | −0.0377269 | + | 0.0181683i | ||||
\(628\) | −4.28661e8 | − | 9.78391e7i | −1.73075 | − | 0.395033i | ||||
\(629\) | −1.53391e7 | − | 3.50104e6i | −0.0616377 | − | 0.0140684i | ||||
\(630\) | 1.65164e8 | − | 1.31714e8i | 0.660532 | − | 0.526757i | ||||
\(631\) | 5.40413e7 | − | 1.12218e8i | 0.215099 | − | 0.446657i | −0.765302 | − | 0.643672i | \(-0.777410\pi\) |
0.980401 | + | 0.197014i | \(0.0631246\pi\) | |||||||
\(632\) | 9.07925e7 | − | 2.07228e7i | 0.359665 | − | 0.0820913i | ||||
\(633\) | −1.64366e8 | − | 7.91544e7i | −0.648038 | − | 0.312079i | ||||
\(634\) | −4.69040e7 | − | 3.74047e7i | −0.184053 | − | 0.146777i | ||||
\(635\) | 2.62234e8 | + | 5.98531e7i | 1.02416 | + | 0.233757i | ||||
\(636\) | 2.43628e8 | + | 1.94287e8i | 0.947013 | + | 0.755217i | ||||
\(637\) | 6.19753e7 | + | 2.71532e8i | 0.239773 | + | 1.05051i | ||||
\(638\) | 1.04815e9 | 4.03611 | ||||||||
\(639\) | 4.91266e7i | 0.188284i | ||||||||
\(640\) | 5.11829e7 | + | 2.24247e8i | 0.195247 | + | 0.855434i | ||||
\(641\) | 1.02026e8 | − | 8.13626e7i | 0.387378 | − | 0.308923i | −0.410365 | − | 0.911921i | \(-0.634599\pi\) |
0.797743 | + | 0.602998i | \(0.206027\pi\) | |||||||
\(642\) | 1.23432e8 | − | 5.94415e7i | 0.466467 | − | 0.224639i | ||||
\(643\) | 1.90262e8 | + | 9.16251e7i | 0.715679 | + | 0.344653i | 0.756034 | − | 0.654533i | \(-0.227135\pi\) |
−0.0403550 | + | 0.999185i | \(0.512849\pi\) | |||||||
\(644\) | 1.18741e8i | 0.444575i | ||||||||
\(645\) | 9.81051e7 | + | 3.12656e8i | 0.365605 | + | 1.16516i | ||||
\(646\) | 4.76160e6 | 0.0176626 | ||||||||
\(647\) | −1.04711e7 | + | 2.17435e7i | −0.0386616 | + | 0.0802817i | −0.919405 | − | 0.393312i | \(-0.871329\pi\) |
0.880743 | + | 0.473594i | \(0.157043\pi\) | |||||||
\(648\) | 3.85605e6 | + | 8.00717e6i | 0.0141716 | + | 0.0294275i | ||||
\(649\) | −1.25644e8 | − | 1.57552e8i | −0.459628 | − | 0.576355i | ||||
\(650\) | −1.46720e9 | + | 3.34878e8i | −5.34255 | + | 1.21940i | ||||
\(651\) | −4.17505e7 | −0.151328 | ||||||||
\(652\) | 3.06488e8i | 1.10579i | ||||||||
\(653\) | 3.31986e7 | − | 7.57736e6i | 0.119228 | − | 0.0272131i | −0.162490 | − | 0.986710i | \(-0.551953\pi\) |
0.281719 | + | 0.959497i | \(0.409095\pi\) | |||||||
\(654\) | 7.79445e7 | − | 9.77393e7i | 0.278646 | − | 0.349410i | ||||
\(655\) | −1.59980e8 | + | 7.00920e8i | −0.569302 | + | 2.49428i | ||||
\(656\) | −1.37744e8 | + | 1.72726e8i | −0.487935 | + | 0.611851i | ||||
\(657\) | 1.02556e7 | − | 2.12959e7i | 0.0361629 | − | 0.0750931i | ||||
\(658\) | 1.86059e7 | + | 8.15178e7i | 0.0653090 | + | 0.286137i | ||||
\(659\) | 3.02108e8 | + | 1.45488e8i | 1.05562 | + | 0.508358i | 0.879444 | − | 0.476002i | \(-0.157914\pi\) |
0.176172 | + | 0.984359i | \(0.443629\pi\) | |||||||
\(660\) | −3.84518e8 | − | 4.82171e8i | −1.33747 | − | 1.67714i | ||||
\(661\) | 7.08590e6 | − | 3.10454e7i | 0.0245353 | − | 0.107496i | −0.961178 | − | 0.275931i | \(-0.911014\pi\) |
0.985713 | + | 0.168435i | \(0.0538712\pi\) | |||||||
\(662\) | 2.62477e7 | − | 1.14999e8i | 0.0904727 | − | 0.396387i | ||||
\(663\) | −3.82966e7 | − | 7.95237e7i | −0.131407 | − | 0.272870i | ||||
\(664\) | −4.36227e7 | + | 3.47880e7i | −0.149008 | + | 0.118830i | ||||
\(665\) | −9.89452e6 | − | 7.89062e6i | −0.0336457 | − | 0.0268316i | ||||
\(666\) | 4.78068e7 | − | 2.30225e7i | 0.161833 | − | 0.0779346i | ||||
\(667\) | 1.58679e8 | + | 3.29500e8i | 0.534738 | + | 1.11040i | ||||
\(668\) | −2.08967e8 | + | 2.62036e8i | −0.701049 | + | 0.879087i | ||||
\(669\) | −1.43842e8 | − | 1.80372e8i | −0.480404 | − | 0.602407i | ||||
\(670\) | −9.95496e8 | + | 4.79405e8i | −3.30990 | + | 1.59396i | ||||
\(671\) | 4.28973e8 | + | 9.79102e7i | 1.41991 | + | 0.324086i | ||||
\(672\) | 1.58928e8 | + | 3.62742e7i | 0.523711 | + | 0.119534i | ||||
\(673\) | 2.18979e8 | − | 1.74630e8i | 0.718385 | − | 0.572893i | −0.194601 | − | 0.980882i | \(-0.562341\pi\) |
0.912987 | + | 0.407989i | \(0.133770\pi\) | |||||||
\(674\) | 2.59760e8 | − | 5.39397e8i | 0.848383 | − | 1.76169i | ||||
\(675\) | −7.33514e8 | + | 1.67420e8i | −2.38505 | + | 0.544371i | ||||
\(676\) | 4.83490e8 | + | 2.32837e8i | 1.56512 | + | 0.753722i | ||||
\(677\) | −1.70120e8 | − | 1.35666e8i | −0.548263 | − | 0.437225i | 0.309776 | − | 0.950810i | \(-0.399746\pi\) |
−0.858039 | + | 0.513584i | \(0.828317\pi\) | |||||||
\(678\) | −4.47282e6 | − | 1.02089e6i | −0.0143513 | − | 0.00327560i | ||||
\(679\) | 1.31724e7 | + | 1.05046e7i | 0.0420780 | + | 0.0335560i | ||||
\(680\) | 8.96265e6 | + | 3.92679e7i | 0.0285042 | + | 0.124885i | ||||
\(681\) | −3.82546e8 | −1.21127 | ||||||||
\(682\) | − | 2.83793e8i | − | 0.894640i | ||||||
\(683\) | 6.98332e7 | + | 3.05959e8i | 0.219179 | + | 0.960287i | 0.958086 | + | 0.286480i | \(0.0924852\pi\) |
−0.738907 | + | 0.673808i | \(0.764658\pi\) | |||||||
\(684\) | −6.75575e6 | + | 5.38753e6i | −0.0211108 | + | 0.0168353i | ||||
\(685\) | 2.34494e8 | − | 1.12926e8i | 0.729557 | − | 0.351336i | ||||
\(686\) | −4.05648e8 | − | 1.95350e8i | −1.25654 | − | 0.605118i | ||||
\(687\) | 6.83130e7i | 0.210685i | ||||||||
\(688\) | 1.47152e8 | − | 2.18097e8i | 0.451855 | − | 0.669707i | ||||
\(689\) | 8.05714e8 | 2.46333 | ||||||||
\(690\) | 1.73511e8 | − | 3.60300e8i | 0.528179 | − | 1.09677i | ||||
\(691\) | −1.66497e8 | − | 3.45735e8i | −0.504630 | − | 1.04787i | −0.985278 | − | 0.170961i | \(-0.945313\pi\) |
0.480648 | − | 0.876913i | \(-0.340401\pi\) | |||||||
\(692\) | −3.92949e8 | − | 4.92742e8i | −1.18582 | − | 1.48697i | ||||
\(693\) | 1.53274e8 | − | 3.49837e7i | 0.460540 | − | 0.105115i | ||||
\(694\) | −1.99465e8 | −0.596744 | ||||||||
\(695\) | 4.16886e8i | 1.24183i | ||||||||
\(696\) | −9.66661e7 | + | 2.20634e7i | −0.286713 | + | 0.0654403i | ||||
\(697\) | −5.89003e7 | + | 7.38587e7i | −0.173948 | + | 0.218124i | ||||
\(698\) | −7.66651e7 | + | 3.35892e8i | −0.225440 | + | 0.987718i | ||||
\(699\) | −1.85920e8 | + | 2.33136e8i | −0.544370 | + | 0.682619i | ||||
\(700\) | 2.30438e8 | − | 4.78509e8i | 0.671830 | − | 1.39507i | ||||
\(701\) | 4.97616e7 | + | 2.18020e8i | 0.144458 | + | 0.632910i | 0.994368 | + | 0.105983i | \(0.0337989\pi\) |
−0.849910 | + | 0.526927i | \(0.823344\pi\) | |||||||
\(702\) | 7.50453e8 | + | 3.61399e8i | 2.16926 | + | 1.04466i | ||||
\(703\) | −1.98193e6 | − | 2.48526e6i | −0.00570456 | − | 0.00715329i | ||||
\(704\) | −1.51983e8 | + | 6.65882e8i | −0.435590 | + | 1.90844i | ||||
\(705\) | 3.37176e7 | − | 1.47726e8i | 0.0962253 | − | 0.421591i | ||||
\(706\) | 5.16414e7 | + | 1.07234e8i | 0.146752 | + | 0.304734i | ||||
\(707\) | −1.87337e8 | + | 1.49397e8i | −0.530111 | + | 0.422749i | ||||
\(708\) | 1.05277e8 | + | 8.39557e7i | 0.296643 | + | 0.236565i | ||||
\(709\) | 2.53011e8 | − | 1.21844e8i | 0.709905 | − | 0.341872i | −0.0438406 | − | 0.999039i | \(-0.513959\pi\) |
0.753746 | + | 0.657166i | \(0.228245\pi\) | |||||||
\(710\) | 1.41795e8 | + | 2.94440e8i | 0.396173 | + | 0.822662i | ||||
\(711\) | 1.89475e8 | − | 2.37594e8i | 0.527161 | − | 0.661039i | ||||
\(712\) | 2.94428e7 | + | 3.69201e7i | 0.0815717 | + | 0.102288i | ||||
\(713\) | 8.92137e7 | − | 4.29631e7i | 0.246129 | − | 0.118530i | ||||
\(714\) | 5.64378e7 | + | 1.28815e7i | 0.155051 | + | 0.0353894i | ||||
\(715\) | −1.55463e9 | − | 3.54834e8i | −4.25313 | − | 0.970750i | ||||
\(716\) | 4.07148e8 | − | 3.24689e8i | 1.10921 | − | 0.884564i | ||||
\(717\) | 1.13176e8 | − | 2.35011e8i | 0.307040 | − | 0.637576i | ||||
\(718\) | 6.62431e6 | − | 1.51195e6i | 0.0178965 | − | 0.00408475i | ||||
\(719\) | −6.57487e8 | − | 3.16629e8i | −1.76889 | − | 0.851852i | −0.967161 | − | 0.254164i | \(-0.918200\pi\) |
−0.801729 | − | 0.597688i | \(-0.796086\pi\) | |||||||
\(720\) | 2.40314e8 | + | 1.91644e8i | 0.643846 | + | 0.513450i | ||||
\(721\) | 1.41872e8 | + | 3.23813e7i | 0.378521 | + | 0.0863949i | ||||
\(722\) | −4.32205e8 | − | 3.44672e8i | −1.14836 | − | 0.915788i | ||||
\(723\) | 1.08850e8 | + | 4.76902e8i | 0.288013 | + | 1.26187i | ||||
\(724\) | 1.90954e8 | 0.503168 | ||||||||
\(725\) | − | 1.63577e9i | − | 4.29249i | ||||||
\(726\) | −1.06330e8 | − | 4.65863e8i | −0.277873 | − | 1.21744i | ||||
\(727\) | 1.66185e8 | − | 1.32528e8i | 0.432501 | − | 0.344908i | −0.382915 | − | 0.923784i | \(-0.625080\pi\) |
0.815416 | + | 0.578875i | \(0.196508\pi\) | |||||||
\(728\) | −7.49956e7 | + | 3.61160e7i | −0.194375 | + | 0.0936063i | ||||
\(729\) | 2.67230e8 | + | 1.28691e8i | 0.689768 | + | 0.332175i | ||||
\(730\) | − | 1.57238e8i | − | 0.404192i | ||||||
\(731\) | 6.29230e7 | − | 9.32599e7i | 0.161086 | − | 0.238750i | ||||
\(732\) | −2.94013e8 | −0.749606 | ||||||||
\(733\) | −1.39179e8 | + | 2.89008e8i | −0.353396 | + | 0.733835i | −0.999569 | − | 0.0293564i | \(-0.990654\pi\) |
0.646173 | + | 0.763191i | \(0.276369\pi\) | |||||||
\(734\) | −3.26325e8 | − | 6.77621e8i | −0.825206 | − | 1.71356i | ||||
\(735\) | 2.06392e8 | + | 2.58808e8i | 0.519794 | + | 0.651801i | ||||
\(736\) | −3.76929e8 | + | 8.60315e7i | −0.945422 | + | 0.215786i | ||||
\(737\) | −8.22284e8 | −2.05409 | ||||||||
\(738\) | − | 3.18597e8i | − | 0.792634i | ||||||
\(739\) | 1.28440e8 | − | 2.93155e7i | 0.318248 | − | 0.0726380i | −0.0604131 | − | 0.998173i | \(-0.519242\pi\) |
0.378661 | + | 0.925535i | \(0.376385\pi\) | |||||||
\(740\) | 1.18422e8 | − | 1.48497e8i | 0.292238 | − | 0.366455i | ||||
\(741\) | 3.96817e6 | − | 1.73857e7i | 0.00975295 | − | 0.0427305i | ||||
\(742\) | −3.29473e8 | + | 4.13147e8i | −0.806508 | + | 1.01133i | ||||
\(743\) | 2.32627e8 | − | 4.83054e8i | 0.567143 | − | 1.17769i | −0.398344 | − | 0.917236i | \(-0.630415\pi\) |
0.965487 | − | 0.260449i | \(-0.0838707\pi\) | |||||||
\(744\) | 5.97378e6 | + | 2.61728e7i | 0.0145054 | + | 0.0635524i | ||||
\(745\) | 4.76947e8 | + | 2.29686e8i | 1.15346 | + | 0.555476i | ||||
\(746\) | −5.32133e8 | − | 6.67273e8i | −1.28175 | − | 1.60726i | ||||
\(747\) | −4.05150e7 | + | 1.77508e8i | −0.0971973 | + | 0.425849i | ||||
\(748\) | −4.71152e7 | + | 2.06425e8i | −0.112579 | + | 0.493239i | ||||
\(749\) | 5.42401e7 | + | 1.12631e8i | 0.129085 | + | 0.268047i | ||||
\(750\) | −8.05798e8 | + | 6.42602e8i | −1.91004 | + | 1.52321i | ||||
\(751\) | −2.62638e8 | − | 2.09447e8i | −0.620066 | − | 0.494486i | 0.262340 | − | 0.964976i | \(-0.415506\pi\) |
−0.882406 | + | 0.470489i | \(0.844077\pi\) | |||||||
\(752\) | −1.09611e8 | + | 5.27858e7i | −0.257751 | + | 0.124126i | ||||
\(753\) | 3.12074e7 | + | 6.48028e7i | 0.0730924 | + | 0.151778i | ||||
\(754\) | −1.12909e9 | + | 1.41584e9i | −2.63400 | + | 3.30294i | ||||
\(755\) | 3.45581e8 | + | 4.33345e8i | 0.802988 | + | 1.00692i | ||||
\(756\) | −2.64842e8 | + | 1.27541e8i | −0.612946 | + | 0.295179i | ||||
\(757\) | 3.49121e8 | + | 7.96845e7i | 0.804800 | + | 0.183690i | 0.605082 | − | 0.796163i | \(-0.293140\pi\) |
0.199718 | + | 0.979853i | \(0.435997\pi\) | |||||||
\(758\) | 9.82440e8 | + | 2.24235e8i | 2.25579 | + | 0.514869i | ||||
\(759\) | 2.32681e8 | − | 1.85557e8i | 0.532151 | − | 0.424376i | ||||
\(760\) | −3.53079e6 | + | 7.33175e6i | −0.00804323 | + | 0.0167019i | ||||
\(761\) | 1.11709e8 | − | 2.54968e7i | 0.253474 | − | 0.0578537i | −0.0938960 | − | 0.995582i | \(-0.529932\pi\) |
0.347370 | + | 0.937728i | \(0.387075\pi\) | |||||||
\(762\) | −2.23962e8 | − | 1.07854e8i | −0.506185 | − | 0.243766i | ||||
\(763\) | 8.91866e7 | + | 7.11240e7i | 0.200783 | + | 0.160119i | ||||
\(764\) | 3.71614e8 | + | 8.48185e7i | 0.833321 | + | 0.190200i | ||||
\(765\) | 1.02760e8 | + | 8.19483e7i | 0.229530 | + | 0.183044i | ||||
\(766\) | −1.93414e8 | − | 8.47404e8i | −0.430331 | − | 1.88540i | ||||
\(767\) | 3.48167e8 | 0.771616 | ||||||||
\(768\) | 1.79208e8i | 0.395615i | ||||||||
\(769\) | 2.99407e6 | + | 1.31179e7i | 0.00658389 | + | 0.0288459i | 0.978113 | − | 0.208074i | \(-0.0667194\pi\) |
−0.971529 | + | 0.236920i | \(0.923862\pi\) | |||||||
\(770\) | 8.17670e8 | − | 6.52070e8i | 1.79104 | − | 1.42831i | ||||
\(771\) | 6.68338e7 | − | 3.21855e7i | 0.145825 | − | 0.0702258i | ||||
\(772\) | 5.90891e8 | + | 2.84558e8i | 1.28427 | + | 0.618471i | ||||
\(773\) | 3.40744e8i | 0.737717i | 0.929486 | + | 0.368858i | \(0.120251\pi\) | ||||
−0.929486 | + | 0.368858i | \(0.879749\pi\) | |||||||
\(774\) | 3.01888e7 | + | 3.78212e8i | 0.0651063 | + | 0.815665i | ||||
\(775\) | −4.42894e8 | −0.951468 | ||||||||
\(776\) | 4.70046e6 | − | 9.76061e6i | 0.0100590 | − | 0.0208878i | ||||
\(777\) | −1.67678e7 | − | 3.48187e7i | −0.0357448 | − | 0.0742249i | ||||
\(778\) | 5.93093e7 | + | 7.43715e7i | 0.125946 | + | 0.157931i | ||||
\(779\) | −1.86077e7 | + | 4.24709e6i | −0.0393624 | + | 0.00898420i | ||||
\(780\) | 1.06553e9 | 2.24533 | ||||||||
\(781\) | 2.43209e8i | 0.510536i | ||||||||
\(782\) | −1.33853e8 | + | 3.05512e7i | −0.279904 | + | 0.0638863i | ||||
\(783\) | −5.64482e8 | + | 7.07838e8i | −1.17588 | + | 1.47451i | ||||
\(784\) | 5.91416e7 | − | 2.59116e8i | 0.122728 | − | 0.537708i | ||||
\(785\) | −8.42469e8 | + | 1.05642e9i | −1.74159 | + | 2.18388i | ||||
\(786\) | 2.88282e8 | − | 5.98624e8i | 0.593676 | − | 1.23278i | ||||
\(787\) | −4.54152e6 | − | 1.98977e7i | −0.00931701 | − | 0.0408205i | 0.970056 | − | 0.242882i | \(-0.0780929\pi\) |
−0.979373 | + | 0.202062i | \(0.935236\pi\) | |||||||
\(788\) | 4.16885e8 | + | 2.00761e8i | 0.851996 | + | 0.410300i | ||||
\(789\) | 1.64185e8 | + | 2.05882e8i | 0.334274 | + | 0.419167i | ||||
\(790\) | 4.49846e8 | − | 1.97090e9i | 0.912394 | − | 3.99746i | ||||
\(791\) | 931558. | − | 4.08142e6i | 0.00188226 | − | 0.00824674i | ||||
\(792\) | −4.38616e7 | − | 9.10796e7i | −0.0882895 | − | 0.183335i | ||||
\(793\) | −5.94356e8 | + | 4.73983e8i | −1.19186 | + | 0.950480i | ||||
\(794\) | 1.56028e7 | + | 1.24429e7i | 0.0311704 | + | 0.0248576i | ||||
\(795\) | 8.62793e8 | − | 4.15499e8i | 1.71714 | − | 0.826930i | ||||
\(796\) | 1.77275e8 | + | 3.68115e8i | 0.351485 | + | 0.729867i | ||||
\(797\) | 1.39854e8 | − | 1.75371e8i | 0.276249 | − | 0.346405i | −0.624281 | − | 0.781200i | \(-0.714608\pi\) |
0.900529 | + | 0.434795i | \(0.143179\pi\) | |||||||
\(798\) | 7.29221e6 | + | 9.14414e6i | 0.0143500 | + | 0.0179943i | ||||
\(799\) | −4.68703e7 | + | 2.25716e7i | −0.0918877 | + | 0.0442508i | ||||
\(800\) | 1.68592e9 | + | 3.84800e8i | 3.29281 | + | 0.751563i | ||||
\(801\) | 1.50234e8 | + | 3.42899e7i | 0.292328 | + | 0.0667220i | ||||
\(802\) | −8.46018e8 | + | 6.74677e8i | −1.64005 | + | 1.30790i | ||||
\(803\) | 5.07717e7 | − | 1.05429e8i | 0.0980563 | − | 0.203616i | ||||
\(804\) | 5.35678e8 | − | 1.22265e8i | 1.03071 | − | 0.235252i | ||||
\(805\) | 3.28772e8 | + | 1.58328e8i | 0.630242 | + | 0.303509i | ||||
\(806\) | 3.83346e8 | + | 3.05708e8i | 0.732125 | + | 0.583851i | ||||
\(807\) | −1.45562e8 | − | 3.32236e7i | −0.276967 | − | 0.0632158i | ||||
\(808\) | 1.20460e8 | + | 9.60632e7i | 0.228353 | + | 0.182106i | ||||
\(809\) | −1.64296e7 | − | 7.19828e7i | −0.0310300 | − | 0.135951i | 0.957040 | − | 0.289955i | \(-0.0936404\pi\) |
−0.988070 | + | 0.154004i | \(0.950783\pi\) | |||||||
\(810\) | 1.92923e8 | 0.363019 | ||||||||
\(811\) | 3.82691e8i | 0.717441i | 0.933445 | + | 0.358720i | \(0.116787\pi\) | ||||
−0.933445 | + | 0.358720i | \(0.883213\pi\) | |||||||
\(812\) | −1.42212e8 | − | 6.23071e8i | −0.265624 | − | 1.16378i | ||||
\(813\) | −3.68057e8 | + | 2.93516e8i | −0.684926 | + | 0.546210i | ||||
\(814\) | 2.36675e8 | − | 1.13976e8i | 0.438812 | − | 0.211321i | ||||
\(815\) | 8.48608e8 | + | 4.08668e8i | 1.56760 | + | 0.754914i | ||||
\(816\) | 8.42288e7i | 0.155021i | ||||||||
\(817\) | 2.16871e7 | − | 6.80498e6i | 0.0397681 | − | 0.0124784i | ||||
\(818\) | −8.14774e8 | −1.48860 | ||||||||
\(819\) | −1.17854e8 | + | 2.44726e8i | −0.214532 | + | 0.445481i | ||||
\(820\) | −4.94810e8 | − | 1.02748e9i | −0.897423 | − | 1.86352i | ||||
\(821\) | 4.84090e8 | + | 6.07030e8i | 0.874776 | + | 1.09693i | 0.994563 | + | 0.104135i | \(0.0332073\pi\) |
−0.119787 | + | 0.992800i | \(0.538221\pi\) | |||||||
\(822\) | −2.34500e8 | + | 5.35230e7i | −0.422208 | + | 0.0963662i | ||||
\(823\) | −3.65395e8 | −0.655486 | −0.327743 | − | 0.944767i | \(-0.606288\pi\) | ||||
−0.327743 | + | 0.944767i | \(0.606288\pi\) | |||||||
\(824\) | − | 9.35705e7i | − | 0.167247i | ||||||
\(825\) | −1.29777e9 | + | 2.96207e8i | −2.31119 | + | 0.527514i | ||||
\(826\) | −1.42373e8 | + | 1.78530e8i | −0.252631 | + | 0.316790i | ||||
\(827\) | −9.06960e7 | + | 3.97365e8i | −0.160351 | + | 0.702544i | 0.829271 | + | 0.558847i | \(0.188756\pi\) |
−0.989622 | + | 0.143697i | \(0.954101\pi\) | |||||||
\(828\) | 1.55344e8 | − | 1.94795e8i | 0.273654 | − | 0.343152i | ||||
\(829\) | 3.45192e8 | − | 7.16799e8i | 0.605895 | − | 1.25815i | −0.342038 | − | 0.939686i | \(-0.611117\pi\) |
0.947934 | − | 0.318468i | \(-0.103168\pi\) | |||||||
\(830\) | 2.69517e8 | + | 1.18083e9i | 0.471359 | + | 2.06516i | ||||
\(831\) | −2.48120e8 | − | 1.19488e8i | −0.432372 | − | 0.208220i | ||||
\(832\) | −7.35750e8 | − | 9.22602e8i | −1.27750 | − | 1.60193i | ||||
\(833\) | 2.52893e7 | − | 1.10800e8i | 0.0437524 | − | 0.191692i | ||||
\(834\) | 8.57307e7 | − | 3.75611e8i | 0.147788 | − | 0.647500i | ||||
\(835\) | 4.46894e8 | + | 9.27985e8i | 0.767618 | + | 1.59398i | ||||
\(836\) | −3.34454e7 | + | 2.66718e7i | −0.0572423 | + | 0.0456492i | ||||
\(837\) | 1.91651e8 | + | 1.52836e8i | 0.326839 | + | 0.260645i | ||||
\(838\) | 4.82856e8 | − | 2.32531e8i | 0.820513 | − | 0.395138i | ||||
\(839\) | −1.84007e8 | − | 3.82095e8i | −0.311565 | − | 0.646972i | 0.685111 | − | 0.728439i | \(-0.259754\pi\) |
−0.996676 | + | 0.0814670i | \(0.974039\pi\) | |||||||
\(840\) | −6.16838e7 | + | 7.73491e7i | −0.104072 | + | 0.130502i | ||||
\(841\) | −8.56395e8 | − | 1.07389e9i | −1.43975 | − | 1.80539i | ||||
\(842\) | −4.30282e8 | + | 2.07213e8i | −0.720804 | + | 0.347121i | ||||
\(843\) | −6.95786e7 | − | 1.58809e7i | −0.116143 | − | 0.0265089i | ||||
\(844\) | −7.37146e8 | − | 1.68249e8i | −1.22610 | − | 0.279850i | ||||
\(845\) | 1.28936e9 | − | 1.02823e9i | 2.13700 | − | 1.70420i | ||||
\(846\) | 7.61228e7 | − | 1.58071e8i | 0.125720 | − | 0.261060i | ||||
\(847\) | 4.25097e8 | − | 9.70257e7i | 0.699581 | − | 0.159675i | ||||
\(848\) | −6.92731e8 | − | 3.33602e8i | −1.13600 | − | 0.547067i | ||||
\(849\) | −4.13788e8 | − | 3.29985e8i | −0.676168 | − | 0.539226i | ||||
\(850\) | 5.98697e8 | + | 1.36649e8i | 0.974878 | + | 0.222510i | ||||
\(851\) | 7.16598e7 | + | 5.71468e7i | 0.116275 | + | 0.0927264i | ||||
\(852\) | −3.61626e7 | − | 1.58439e8i | −0.0584710 | − | 0.256178i | ||||
\(853\) | 4.72868e8 | 0.761891 | 0.380946 | − | 0.924597i | \(-0.375599\pi\) | ||||
0.380946 | + | 0.924597i | \(0.375599\pi\) | |||||||
\(854\) | − | 4.98590e8i | − | 0.800516i | ||||||
\(855\) | 5.90900e6 | + | 2.58890e7i | 0.00945401 | + | 0.0414207i | ||||
\(856\) | 6.28459e7 | − | 5.01179e7i | 0.100197 | − | 0.0799046i | ||||
\(857\) | −1.46121e8 | + | 7.03683e7i | −0.232151 | + | 0.111798i | −0.546343 | − | 0.837561i | \(-0.683981\pi\) |
0.314192 | + | 0.949359i | \(0.398266\pi\) | |||||||
\(858\) | 1.32774e9 | + | 6.39405e8i | 2.10209 | + | 1.01231i | ||||
\(859\) | − | 1.22622e9i | − | 1.93459i | −0.253645 | − | 0.967297i | \(-0.581629\pi\) | ||
0.253645 | − | 0.967297i | \(-0.418371\pi\) | |||||||
\(860\) | 6.84757e8 | + | 1.17286e9i | 1.07657 | + | 1.84395i | ||||
\(861\) | −2.32041e8 | −0.363543 | ||||||||
\(862\) | −6.08363e8 | + | 1.26328e9i | −0.949819 | + | 1.97232i | ||||
\(863\) | 1.37856e8 | + | 2.86261e8i | 0.214483 | + | 0.445379i | 0.980256 | − | 0.197732i | \(-0.0633576\pi\) |
−0.765773 | + | 0.643111i | \(0.777643\pi\) | |||||||
\(864\) | −5.96748e8 | − | 7.48299e8i | −0.925231 | − | 1.16020i | ||||
\(865\) | −1.88826e9 | + | 4.30983e8i | −2.91752 | + | 0.665905i | ||||
\(866\) | −1.15798e9 | −1.78298 | ||||||||
\(867\) | − | 3.98182e8i | − | 0.610976i | ||||||
\(868\) | −1.68699e8 | + | 3.85046e7i | −0.257961 | + | 0.0588780i | ||||
\(869\) | 9.38025e8 | − | 1.17625e9i | 1.42940 | − | 1.79242i | ||||
\(870\) | −4.78948e8 | + | 2.09841e9i | −0.727328 | + | 3.18663i | ||||
\(871\) | 8.85783e8 | − | 1.11074e9i | 1.34052 | − | 1.68096i | ||||
\(872\) | 3.18256e7 | − | 6.60865e7i | 0.0479984 | − | 0.0996697i | ||||
\(873\) | −7.86653e6 | − | 3.44655e7i | −0.0118234 | − | 0.0518015i | ||||
\(874\) | −2.49919e7 | − | 1.20355e7i | −0.0374339 | − | 0.0180272i | ||||
\(875\) | −5.86372e8 | − | 7.35287e8i | −0.875283 | − | 1.09757i | ||||
\(876\) | −1.73992e7 | + | 7.62308e7i | −0.0258831 | + | 0.113401i | ||||
\(877\) | −1.73781e8 | + | 7.61383e8i | −0.257634 | + | 1.12877i | 0.666139 | + | 0.745827i | \(0.267946\pi\) |
−0.923773 | + | 0.382940i | \(0.874911\pi\) | |||||||
\(878\) | −5.97397e8 | − | 1.24051e9i | −0.882632 | − | 1.83280i | ||||
\(879\) | 9.62204e7 | − | 7.67332e7i | 0.141677 | − | 0.112984i | ||||
\(880\) | 1.18971e9 | + | 9.48763e8i | 1.74580 | + | 1.39223i | ||||
\(881\) | −1.05133e9 | + | 5.06296e8i | −1.53749 | + | 0.740417i | −0.995022 | − | 0.0996576i | \(-0.968225\pi\) |
−0.542470 | + | 0.840075i | \(0.682511\pi\) | |||||||
\(882\) | 1.66300e8 | + | 3.45326e8i | 0.242375 | + | 0.503297i | ||||
\(883\) | 2.33969e8 | − | 2.93388e8i | 0.339842 | − | 0.426148i | −0.582316 | − | 0.812963i | \(-0.697853\pi\) |
0.922157 | + | 0.386815i | \(0.126425\pi\) | |||||||
\(884\) | −2.28084e8 | − | 2.86009e8i | −0.330171 | − | 0.414021i | ||||
\(885\) | 3.72832e8 | − | 1.79547e8i | 0.537878 | − | 0.259028i | ||||
\(886\) | 7.02259e8 | + | 1.60286e8i | 1.00971 | + | 0.230459i | ||||
\(887\) | −1.39278e8 | − | 3.17892e7i | −0.199577 | − | 0.0455521i | 0.121564 | − | 0.992584i | \(-0.461209\pi\) |
−0.321141 | + | 0.947031i | \(0.604066\pi\) | |||||||
\(888\) | −1.94282e7 | + | 1.54935e7i | −0.0277456 | + | 0.0221263i | ||||
\(889\) | 9.84165e7 | − | 2.04364e8i | 0.140076 | − | 0.290870i | ||||
\(890\) | 9.99397e8 | − | 2.28106e8i | 1.41765 | − | 0.323569i | ||||
\(891\) | 1.29356e8 | + | 6.22945e7i | 0.182875 | + | 0.0880677i | ||||
\(892\) | −7.47563e8 | − | 5.96161e8i | −1.05330 | − | 0.839981i | ||||
\(893\) | −1.02469e7 | − | 2.33879e6i | −0.0143893 | − | 0.00328426i | ||||
\(894\) | −3.82492e8 | − | 3.05027e8i | −0.535315 | − | 0.426899i | ||||
\(895\) | −3.56117e8 | − | 1.56025e9i | −0.496734 | − | 2.17633i | ||||
\(896\) | 1.93969e8 | 0.269655 | ||||||||
\(897\) | 5.14190e8i | 0.712436i | ||||||||
\(898\) | 4.41080e8 | + | 1.93250e9i | 0.609100 | + | 2.66864i | ||||
\(899\) | −4.16675e8 | + | 3.32287e8i | −0.573480 | + | 0.457335i | ||||
\(900\) | −1.00404e9 | + | 4.83521e8i | −1.37729 | + | 0.663266i | ||||
\(901\) | −2.96216e8 | − | 1.42650e8i | −0.404981 | − | 0.195029i | ||||
\(902\) | − | 1.57726e9i | − | 2.14924i | ||||||
\(903\) | 2.75460e8 | − | 2.19872e7i | 0.374106 | − | 0.0298611i | ||||
\(904\) | −2.69188e6 | −0.00364376 | ||||||||
\(905\) | 2.54616e8 | − | 5.28715e8i | 0.343510 | − | 0.713306i | ||||
\(906\) | −2.22250e8 | − | 4.61507e8i | −0.298853 | − | 0.620575i | ||||
\(907\) | −3.64831e8 | − | 4.57483e8i | −0.488956 | − | 0.613131i | 0.474743 | − | 0.880125i | \(-0.342541\pi\) |
−0.963698 | + | 0.266994i | \(0.913970\pi\) | |||||||
\(908\) | −1.54574e9 | + | 3.52805e8i | −2.06480 | + | 0.471277i | ||||
\(909\) | 5.02774e8 | 0.669394 | ||||||||
\(910\) | 1.80693e9i | 2.39782i | ||||||||
\(911\) | 4.91972e8 | − | 1.12289e8i | 0.650706 | − | 0.148519i | 0.115589 | − | 0.993297i | \(-0.463124\pi\) |
0.535117 | + | 0.844778i | \(0.320267\pi\) | |||||||
\(912\) | −1.06102e7 | + | 1.33048e7i | −0.0139874 | + | 0.0175397i | ||||
\(913\) | −2.00576e8 | + | 8.78779e8i | −0.263552 | + | 1.15470i | ||||
\(914\) | −7.65468e8 | + | 9.59867e8i | −1.00251 | + | 1.25711i | ||||
\(915\) | −3.92033e8 | + | 8.14065e8i | −0.511752 | + | 1.06266i | ||||
\(916\) | 6.30018e7 | + | 2.76029e8i | 0.0819722 | + | 0.359144i | ||||
\(917\) | 5.46241e8 | + | 2.63056e8i | 0.708397 | + | 0.341146i | ||||
\(918\) | −2.11915e8 | − | 2.65733e8i | −0.273926 | − | 0.343493i | ||||
\(919\) | −1.94821e8 | + | 8.53565e8i | −0.251009 | + | 1.09974i | 0.679559 | + | 0.733621i | \(0.262171\pi\) |
−0.930568 | + | 0.366120i | \(0.880686\pi\) | |||||||
\(920\) | 5.22123e7 | − | 2.28757e8i | 0.0670516 | − | 0.293772i | ||||
\(921\) | −3.26802e8 | − | 6.78612e8i | −0.418318 | − | 0.868645i | ||||
\(922\) | 4.41002e8 | − | 3.51687e8i | 0.562662 | − | 0.448708i | ||||
\(923\) | −3.28525e8 | − | 2.61990e8i | −0.417795 | − | 0.333180i | ||||
\(924\) | −4.68572e8 | + | 2.25652e8i | −0.593964 | + | 0.286038i | ||||
\(925\) | −1.77874e8 | − | 3.69360e8i | −0.224744 | − | 0.466686i | ||||
\(926\) | 9.45738e8 | − | 1.18592e9i | 1.19107 | − | 1.49356i | ||||
\(927\) | −1.90377e8 | − | 2.38725e8i | −0.238987 | − | 0.299680i | ||||
\(928\) | 1.87482e9 | − | 9.02864e8i | 2.34593 | − | 1.12974i | ||||
\(929\) | −8.56882e8 | − | 1.95578e8i | −1.06874 | − | 0.243934i | −0.348255 | − | 0.937400i | \(-0.613226\pi\) |
−0.720489 | + | 0.693466i | \(0.756083\pi\) | |||||||
\(930\) | 5.68154e8 | + | 1.29677e8i | 0.706346 | + | 0.161219i | ||||
\(931\) | 1.79520e7 | − | 1.43162e7i | 0.0222466 | − | 0.0177411i | ||||
\(932\) | −5.36228e8 | + | 1.11349e9i | −0.662371 | + | 1.37543i | ||||
\(933\) | 1.15245e8 | − | 2.63040e7i | 0.141898 | − | 0.0323874i | ||||
\(934\) | −1.21064e9 | − | 5.83016e8i | −1.48585 | − | 0.715549i | ||||
\(935\) | 5.08729e8 | + | 4.05697e8i | 0.622374 | + | 0.496327i | ||||
\(936\) | 1.70279e8 | + | 3.88650e7i | 0.207650 | + | 0.0473948i | ||||
\(937\) | −4.83585e8 | − | 3.85646e8i | −0.587833 | − | 0.468781i | 0.283838 | − | 0.958872i | \(-0.408392\pi\) |
−0.871671 | + | 0.490091i | \(0.836964\pi\) | |||||||
\(938\) | 2.07338e8 | + | 9.08408e8i | 0.251230 | + | 1.10071i | ||||
\(939\) | −1.05788e8 | −0.127773 | ||||||||
\(940\) | − | 6.28008e8i | − | 0.756104i | ||||||
\(941\) | 2.67538e8 | + | 1.17216e9i | 0.321082 | + | 1.40675i | 0.835631 | + | 0.549292i | \(0.185102\pi\) |
−0.514549 | + | 0.857461i | \(0.672041\pi\) | |||||||
\(942\) | 9.76306e8 | − | 7.78578e8i | 1.16797 | − | 0.931428i | ||||
\(943\) | 4.95832e8 | − | 2.38780e8i | 0.591288 | − | 0.284750i | ||||
\(944\) | −2.99344e8 | − | 1.44157e8i | −0.355840 | − | 0.171364i | ||||
\(945\) | 9.03359e8i | 1.07045i | ||||||||
\(946\) | 1.49454e8 | + | 1.87239e9i | 0.176537 | + | 2.21169i | ||||
\(947\) | −6.75981e8 | −0.795948 | −0.397974 | − | 0.917397i | \(-0.630287\pi\) | ||||
−0.397974 | + | 0.917397i | \(0.630287\pi\) | |||||||
\(948\) | −4.36182e8 | + | 9.05741e8i | −0.511968 | + | 1.06311i | ||||
\(949\) | 8.77199e7 | + | 1.82152e8i | 0.102636 | + | 0.213126i | ||||
\(950\) | 7.73565e7 | + | 9.70019e7i | 0.0902248 | + | 0.113138i | ||||
\(951\) | 8.93828e7 | − | 2.04010e7i | 0.103923 | − | 0.0237198i | ||||
\(952\) | 3.39660e7 | 0.0393671 | ||||||||
\(953\) | 6.40356e8i | 0.739848i | 0.929062 | + | 0.369924i | \(0.120616\pi\) | ||||
−0.929062 | + | 0.369924i | \(0.879384\pi\) | |||||||
\(954\) | 1.08100e9 | − | 2.46731e8i | 1.24503 | − | 0.284170i | ||||
\(955\) | 7.30352e8 | − | 9.15832e8i | 0.838536 | − | 1.05149i | ||||
\(956\) | 2.40563e8 | − | 1.05398e9i | 0.275331 | − | 1.20631i | ||||
\(957\) | −9.98709e8 | + | 1.25234e9i | −1.13947 | + | 1.42885i | ||||
\(958\) | −2.23676e8 | + | 4.64468e8i | −0.254403 | + | 0.528274i | ||||
\(959\) | −4.88395e7 | − | 2.13980e8i | −0.0553752 | − | 0.242615i | ||||
\(960\) | −1.26365e9 | − | 6.08542e8i | −1.42828 | − | 0.687823i | ||||
\(961\) | −4.63381e8 | − | 5.81061e8i | −0.522117 | − | 0.654714i | ||||
\(962\) | −1.00992e8 | + | 4.42477e8i | −0.113439 | + | 0.497010i | ||||
\(963\) | 5.83687e7 | − | 2.55730e8i | 0.0653583 | − | 0.286354i | ||||
\(964\) | 8.79649e8 | + | 1.82661e9i | 0.981925 | + | 2.03899i | ||||
\(965\) | 1.57577e9 | − | 1.25664e9i | 1.75353 | − | 1.39839i | ||||
\(966\) | −2.63662e8 | − | 2.10263e8i | −0.292493 | − | 0.233255i | ||||
\(967\) | −1.16601e9 | + | 5.61520e8i | −1.28950 | + | 0.620991i | −0.947815 | − | 0.318822i | \(-0.896713\pi\) |
−0.341688 | + | 0.939814i | \(0.610998\pi\) | |||||||
\(968\) | −1.21648e8 | − | 2.52605e8i | −0.134116 | − | 0.278494i | ||||
\(969\) | −4.53699e6 | + | 5.68920e6i | −0.00498650 | + | 0.00625288i | ||||
\(970\) | −1.46626e8 | − | 1.83864e8i | −0.160656 | − | 0.201456i | ||||
\(971\) | 4.12485e8 | − | 1.98642e8i | 0.450558 | − | 0.216977i | −0.194822 | − | 0.980839i | \(-0.562413\pi\) |
0.645381 | + | 0.763861i | \(0.276699\pi\) | |||||||
\(972\) | 9.87756e8 | + | 2.25449e8i | 1.07560 | + | 0.245499i | ||||
\(973\) | 3.42743e8 | + | 7.82288e7i | 0.372074 | + | 0.0849236i | ||||
\(974\) | 1.69710e8 | − | 1.35339e8i | 0.183667 | − | 0.146470i | ||||
\(975\) | 9.97871e8 | − | 2.07210e9i | 1.07662 | − | 2.23561i | ||||
\(976\) | 7.07261e8 | − | 1.61428e8i | 0.760730 | − | 0.173632i | ||||
\(977\) | 1.54239e9 | + | 7.42774e8i | 1.65390 | + | 0.796476i | 0.999175 | + | 0.0406089i | \(0.0129298\pi\) |
0.654725 | + | 0.755867i | \(0.272785\pi\) | |||||||
\(978\) | −6.80548e8 | − | 5.42719e8i | −0.727515 | − | 0.580174i | ||||
\(979\) | 7.43756e8 | + | 1.69757e8i | 0.792651 | + | 0.180918i | ||||
\(980\) | 1.07265e9 | + | 8.55407e8i | 1.13967 | + | 0.908855i | ||||
\(981\) | −5.32622e7 | − | 2.33357e8i | −0.0564173 | − | 0.247180i | ||||
\(982\) | −1.15823e9 | −1.22310 | ||||||||
\(983\) | − | 8.06438e8i | − | 0.849006i | −0.905427 | − | 0.424503i | \(-0.860449\pi\) | ||
0.905427 | − | 0.424503i | \(-0.139551\pi\) | |||||||
\(984\) | 3.32011e7 | + | 1.45463e8i | 0.0348471 | + | 0.152675i | ||||
\(985\) | 1.11174e9 | − | 8.86582e8i | 1.16331 | − | 0.927706i | ||||
\(986\) | 6.65778e8 | − | 3.20622e8i | 0.694542 | − | 0.334474i | ||||
\(987\) | −1.15126e8 | − | 5.54419e7i | −0.119736 | − | 0.0576616i | ||||
\(988\) | − | 7.39093e7i | − | 0.0766352i | ||||||
\(989\) | −5.65984e8 | + | 3.30442e8i | −0.585080 | + | 0.341591i | ||||
\(990\) | −2.19445e9 | −2.26163 | ||||||||
\(991\) | −4.08083e8 | + | 8.47393e8i | −0.419303 | + | 0.870691i | 0.579157 | + | 0.815216i | \(0.303382\pi\) |
−0.998460 | + | 0.0554752i | \(0.982333\pi\) | |||||||
\(992\) | −2.44455e8 | − | 5.07616e8i | −0.250417 | − | 0.519996i | ||||
\(993\) | 1.12392e8 | + | 1.40935e8i | 0.114786 | + | 0.143937i | ||||
\(994\) | 2.68682e8 | − | 6.13248e7i | 0.273577 | − | 0.0624421i | ||||
\(995\) | 1.25561e9 | 1.27464 | ||||||||
\(996\) | − | 6.02305e8i | − | 0.609591i | ||||||
\(997\) | −1.10216e9 | + | 2.51562e8i | −1.11214 | + | 0.253839i | −0.738847 | − | 0.673873i | \(-0.764629\pi\) |
−0.373296 | + | 0.927712i | \(0.621772\pi\) | |||||||
\(998\) | −3.00462e7 | + | 3.76768e7i | −0.0302272 | + | 0.0379037i | ||||
\(999\) | −5.04904e7 | + | 2.21213e8i | −0.0506421 | + | 0.221878i |
(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.f.a.22.3 | yes | 126 | |
43.2 | odd | 14 | inner | 43.7.f.a.2.3 | ✓ | 126 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.7.f.a.2.3 | ✓ | 126 | 43.2 | odd | 14 | inner | |
43.7.f.a.22.3 | yes | 126 | 1.1 | even | 1 | trivial |