Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [38,7,Mod(3,38)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(38, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([13]))
N = Newforms(chi, 7, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("38.3");
S:= CuspForms(chi, 7);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 38 = 2 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 7 \) |
Character orbit: | \([\chi]\) | \(=\) | 38.f (of order \(18\), 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: | \(8.74205517755\) |
Analytic rank: | \(0\) |
Dimension: | \(60\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 3.5 | ||
Character | \(\chi\) | \(=\) | 38.3 |
Dual form | 38.7.f.a.13.5 |
$q$-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 \(\left(\mathbb{Z}/38\mathbb{Z}\right)^\times\).
\(n\) | \(21\) |
\(\chi(n)\) | \(e\left(\frac{13}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −3.63616 | + | 4.33340i | −0.454519 | + | 0.541675i | ||||
\(3\) | 12.5750 | + | 34.5495i | 0.465741 | + | 1.27961i | 0.921107 | + | 0.389308i | \(0.127286\pi\) |
−0.455367 | + | 0.890304i | \(0.650492\pi\) | |||||||
\(4\) | −5.55674 | − | 31.5138i | −0.0868241 | − | 0.492404i | ||||
\(5\) | −24.6848 | + | 139.995i | −0.197479 | + | 1.11996i | 0.711366 | + | 0.702822i | \(0.248077\pi\) |
−0.908844 | + | 0.417135i | \(0.863034\pi\) | |||||||
\(6\) | −195.442 | − | 71.1350i | −0.904823 | − | 0.329329i | ||||
\(7\) | 136.699 | + | 236.770i | 0.398541 | + | 0.690293i | 0.993546 | − | 0.113429i | \(-0.0361834\pi\) |
−0.595005 | + | 0.803722i | \(0.702850\pi\) | |||||||
\(8\) | 156.767 | + | 90.5097i | 0.306186 | + | 0.176777i | ||||
\(9\) | −477.093 | + | 400.329i | −0.654449 | + | 0.549148i | ||||
\(10\) | −516.895 | − | 616.012i | −0.516895 | − | 0.616012i | ||||
\(11\) | 154.353 | − | 267.347i | 0.115968 | − | 0.200862i | −0.802198 | − | 0.597057i | \(-0.796336\pi\) |
0.918166 | + | 0.396195i | \(0.129670\pi\) | |||||||
\(12\) | 1018.91 | − | 588.270i | 0.589649 | − | 0.340434i | ||||
\(13\) | 192.920 | − | 530.044i | 0.0878108 | − | 0.241258i | −0.888012 | − | 0.459819i | \(-0.847914\pi\) |
0.975823 | + | 0.218561i | \(0.0701363\pi\) | |||||||
\(14\) | −1523.08 | − | 268.560i | −0.555059 | − | 0.0978719i | ||||
\(15\) | −5147.16 | + | 907.583i | −1.52508 | + | 0.268914i | ||||
\(16\) | −962.245 | + | 350.229i | −0.234923 | + | 0.0855050i | ||||
\(17\) | −7404.65 | − | 6213.24i | −1.50715 | − | 1.26465i | −0.869072 | − | 0.494685i | \(-0.835283\pi\) |
−0.638083 | − | 0.769968i | \(-0.720272\pi\) | |||||||
\(18\) | − | 3523.10i | − | 0.604097i | ||||||
\(19\) | 571.576 | + | 6835.14i | 0.0833322 | + | 0.996522i | ||||
\(20\) | 4548.94 | 0.568617 | ||||||||
\(21\) | −6461.31 | + | 7700.29i | −0.697690 | + | 0.831475i | ||||
\(22\) | 597.272 | + | 1640.99i | 0.0560924 | + | 0.154113i | ||||
\(23\) | −790.114 | − | 4480.96i | −0.0649391 | − | 0.368288i | −0.999908 | − | 0.0135585i | \(-0.995684\pi\) |
0.934969 | − | 0.354730i | \(-0.115427\pi\) | |||||||
\(24\) | −1155.72 | + | 6554.40i | −0.0836022 | + | 0.474132i | ||||
\(25\) | −4306.46 | − | 1567.42i | −0.275613 | − | 0.100315i | ||||
\(26\) | 1595.41 | + | 2763.32i | 0.0907719 | + | 0.157221i | ||||
\(27\) | 3381.48 | + | 1952.30i | 0.171797 | + | 0.0991871i | ||||
\(28\) | 6701.94 | − | 5623.60i | 0.305300 | − | 0.256177i | ||||
\(29\) | 7702.41 | + | 9179.37i | 0.315815 | + | 0.376373i | 0.900477 | − | 0.434903i | \(-0.143217\pi\) |
−0.584662 | + | 0.811277i | \(0.698773\pi\) | |||||||
\(30\) | 14783.0 | − | 25604.8i | 0.547517 | − | 0.948327i | ||||
\(31\) | 34857.0 | − | 20124.7i | 1.17005 | − | 0.675529i | 0.216359 | − | 0.976314i | \(-0.430582\pi\) |
0.953692 | + | 0.300785i | \(0.0972485\pi\) | |||||||
\(32\) | 1981.19 | − | 5443.28i | 0.0604612 | − | 0.166116i | ||||
\(33\) | 11177.7 | + | 1970.93i | 0.311036 | + | 0.0548441i | ||||
\(34\) | 53848.9 | − | 9495.02i | 1.37006 | − | 0.241579i | ||||
\(35\) | −36521.0 | + | 13292.6i | −0.851801 | + | 0.310030i | ||||
\(36\) | 15267.0 | + | 12810.5i | 0.327225 | + | 0.274574i | ||||
\(37\) | 83779.7i | 1.65399i | 0.562208 | + | 0.826996i | \(0.309952\pi\) | ||||
−0.562208 | + | 0.826996i | \(0.690048\pi\) | |||||||
\(38\) | −31697.8 | − | 22376.8i | −0.577667 | − | 0.407800i | ||||
\(39\) | 20738.8 | 0.349614 | ||||||||
\(40\) | −16540.6 | + | 19712.4i | −0.258448 | + | 0.308006i | ||||
\(41\) | 10334.6 | + | 28394.2i | 0.149949 | + | 0.411982i | 0.991811 | − | 0.127711i | \(-0.0407629\pi\) |
−0.841862 | + | 0.539692i | \(0.818541\pi\) | |||||||
\(42\) | −9874.12 | − | 55998.9i | −0.133276 | − | 0.755843i | ||||
\(43\) | −17549.1 | + | 99525.8i | −0.220724 | + | 1.25179i | 0.649970 | + | 0.759960i | \(0.274782\pi\) |
−0.870693 | + | 0.491826i | \(0.836329\pi\) | |||||||
\(44\) | −9282.84 | − | 3378.68i | −0.108974 | − | 0.0396633i | ||||
\(45\) | −44266.9 | − | 76672.6i | −0.485782 | − | 0.841400i | ||||
\(46\) | 22290.8 | + | 12869.6i | 0.229009 | + | 0.132218i | ||||
\(47\) | 17452.2 | − | 14644.2i | 0.168096 | − | 0.141049i | −0.554859 | − | 0.831944i | \(-0.687228\pi\) |
0.722955 | + | 0.690895i | \(0.242783\pi\) | |||||||
\(48\) | −24200.5 | − | 28841.0i | −0.218827 | − | 0.260787i | ||||
\(49\) | 21451.0 | − | 37154.3i | 0.182331 | − | 0.315806i | ||||
\(50\) | 22451.2 | − | 12962.2i | 0.179610 | − | 0.103698i | ||||
\(51\) | 121551. | − | 333959.i | 0.916322 | − | 2.51757i | ||||
\(52\) | −17775.7 | − | 3134.34i | −0.126421 | − | 0.0222914i | ||||
\(53\) | −136542. | + | 24076.1i | −0.917149 | + | 0.161718i | −0.612248 | − | 0.790666i | \(-0.709735\pi\) |
−0.304901 | + | 0.952384i | \(0.598623\pi\) | |||||||
\(54\) | −20755.7 | + | 7554.45i | −0.131812 | + | 0.0479758i | ||||
\(55\) | 33617.0 | + | 28208.0i | 0.202056 | + | 0.169545i | ||||
\(56\) | 49490.5i | 0.281811i | ||||||||
\(57\) | −228963. | + | 105700.i | −1.23635 | + | 0.570754i | ||||
\(58\) | −67785.0 | −0.347416 | ||||||||
\(59\) | −28663.2 | + | 34159.5i | −0.139562 | + | 0.166324i | −0.831298 | − | 0.555827i | \(-0.812402\pi\) |
0.691736 | + | 0.722151i | \(0.256846\pi\) | |||||||
\(60\) | 57202.9 | + | 157164.i | 0.264828 | + | 0.727610i | ||||
\(61\) | 36239.2 | + | 205523.i | 0.159658 | + | 0.905463i | 0.954403 | + | 0.298520i | \(0.0964931\pi\) |
−0.794746 | + | 0.606943i | \(0.792396\pi\) | |||||||
\(62\) | −39537.1 | + | 224226.i | −0.165894 | + | 0.940829i | ||||
\(63\) | −160004. | − | 58236.8i | −0.639897 | − | 0.232904i | ||||
\(64\) | 16384.0 | + | 28377.9i | 0.0625000 | + | 0.108253i | ||||
\(65\) | 69441.1 | + | 40091.9i | 0.252858 | + | 0.145988i | ||||
\(66\) | −49184.8 | + | 41270.9i | −0.171080 | + | 0.143553i | ||||
\(67\) | −269824. | − | 321564.i | −0.897132 | − | 1.06916i | −0.997245 | − | 0.0741837i | \(-0.976365\pi\) |
0.100113 | − | 0.994976i | \(-0.468080\pi\) | |||||||
\(68\) | −154657. | + | 267874.i | −0.491863 | + | 0.851931i | ||||
\(69\) | 144879. | − | 83646.2i | 0.441021 | − | 0.254624i | ||||
\(70\) | 75194.0 | − | 206594.i | 0.219225 | − | 0.602315i | ||||
\(71\) | 128224. | + | 22609.3i | 0.358256 | + | 0.0631703i | 0.349880 | − | 0.936795i | \(-0.386222\pi\) |
0.00837668 | + | 0.999965i | \(0.497334\pi\) | |||||||
\(72\) | −111026. | + | 19576.9i | −0.297460 | + | 0.0524502i | ||||
\(73\) | 498363. | − | 181389.i | 1.28108 | − | 0.466276i | 0.390293 | − | 0.920691i | \(-0.372374\pi\) |
0.890790 | + | 0.454415i | \(0.150152\pi\) | |||||||
\(74\) | −363051. | − | 304636.i | −0.895927 | − | 0.751772i | ||||
\(75\) | − | 168497.i | − | 0.399399i | ||||||
\(76\) | 212226. | − | 55993.7i | 0.483456 | − | 0.127555i | ||||
\(77\) | 84399.9 | 0.184871 | ||||||||
\(78\) | −75409.4 | + | 89869.4i | −0.158906 | + | 0.189377i | ||||
\(79\) | −57206.4 | − | 157173.i | −0.116028 | − | 0.318785i | 0.868062 | − | 0.496456i | \(-0.165366\pi\) |
−0.984090 | + | 0.177672i | \(0.943144\pi\) | |||||||
\(80\) | −25277.3 | − | 143355.i | −0.0493697 | − | 0.279989i | ||||
\(81\) | −103769. | + | 588503.i | −0.195260 | + | 1.10737i | ||||
\(82\) | −160622. | − | 58461.5i | −0.291315 | − | 0.106030i | ||||
\(83\) | 315134. | + | 545828.i | 0.551139 | + | 0.954601i | 0.998193 | + | 0.0600935i | \(0.0191399\pi\) |
−0.447054 | + | 0.894507i | \(0.647527\pi\) | |||||||
\(84\) | 278570. | + | 160832.i | 0.469998 | + | 0.271353i | ||||
\(85\) | 1.05260e6 | − | 883239.i | 1.71399 | − | 1.43821i | ||||
\(86\) | −367474. | − | 437939.i | −0.577739 | − | 0.688522i | ||||
\(87\) | −220285. | + | 381545.i | −0.334524 | + | 0.579413i | ||||
\(88\) | 48395.0 | − | 27940.9i | 0.0710154 | − | 0.0410008i | ||||
\(89\) | 259935. | − | 714166.i | 0.368719 | − | 1.01305i | −0.607131 | − | 0.794602i | \(-0.707680\pi\) |
0.975849 | − | 0.218444i | \(-0.0700981\pi\) | |||||||
\(90\) | 493214. | + | 86967.0i | 0.676563 | + | 0.119296i | ||||
\(91\) | 151871. | − | 26778.9i | 0.201535 | − | 0.0355360i | ||||
\(92\) | −136822. | + | 49799.1i | −0.175708 | + | 0.0639526i | ||||
\(93\) | 1.13363e6 | + | 951225.i | 1.40936 | + | 1.18259i | ||||
\(94\) | 128876.i | 0.155163i | ||||||||
\(95\) | −970993. | − | 88706.8i | −1.13252 | − | 0.103463i | ||||
\(96\) | 212976. | 0.240723 | ||||||||
\(97\) | −253212. | + | 301767.i | −0.277440 | + | 0.330641i | −0.886713 | − | 0.462320i | \(-0.847017\pi\) |
0.609273 | + | 0.792961i | \(0.291462\pi\) | |||||||
\(98\) | 83005.1 | + | 228055.i | 0.0881914 | + | 0.242304i | ||||
\(99\) | 33386.0 | + | 189342.i | 0.0344080 | + | 0.195137i | ||||
\(100\) | −25465.6 | + | 144423.i | −0.0254656 | + | 0.144423i | ||||
\(101\) | −13897.0 | − | 5058.10i | −0.0134883 | − | 0.00490934i | 0.335267 | − | 0.942123i | \(-0.391173\pi\) |
−0.348755 | + | 0.937214i | \(0.613396\pi\) | |||||||
\(102\) | 1.00520e6 | + | 1.74106e6i | 0.947222 | + | 1.64064i | ||||
\(103\) | −723035. | − | 417445.i | −0.661680 | − | 0.382021i | 0.131237 | − | 0.991351i | \(-0.458105\pi\) |
−0.792917 | + | 0.609330i | \(0.791438\pi\) | |||||||
\(104\) | 78217.7 | − | 65632.5i | 0.0695353 | − | 0.0583470i | ||||
\(105\) | −918503. | − | 1.09463e6i | −0.793437 | − | 0.945582i | ||||
\(106\) | 392158. | − | 679238.i | 0.329263 | − | 0.570301i | ||||
\(107\) | −1.80257e6 | + | 1.04072e6i | −1.47144 | + | 0.849535i | −0.999485 | − | 0.0320892i | \(-0.989784\pi\) |
−0.471952 | + | 0.881624i | \(0.656451\pi\) | |||||||
\(108\) | 42734.4 | − | 117412.i | 0.0339240 | − | 0.0932054i | ||||
\(109\) | 2.23666e6 | + | 394383.i | 1.72711 | + | 0.304536i | 0.947031 | − | 0.321143i | \(-0.104067\pi\) |
0.780080 | + | 0.625680i | \(0.215178\pi\) | |||||||
\(110\) | −244473. | + | 43107.3i | −0.183676 | + | 0.0323871i | ||||
\(111\) | −2.89455e6 | + | 1.05353e6i | −2.11647 | + | 0.770332i | ||||
\(112\) | −214462. | − | 179955.i | −0.152650 | − | 0.128088i | ||||
\(113\) | − | 960838.i | − | 0.665909i | −0.942943 | − | 0.332954i | \(-0.891954\pi\) | ||
0.942943 | − | 0.332954i | \(-0.108046\pi\) | |||||||
\(114\) | 374508. | − | 1.37653e6i | 0.252782 | − | 0.929119i | ||||
\(115\) | 646814. | 0.425291 | ||||||||
\(116\) | 246477. | − | 293740.i | 0.157907 | − | 0.188187i | ||||
\(117\) | 120151. | + | 330112.i | 0.0750187 | + | 0.206112i | ||||
\(118\) | −43802.9 | − | 248418.i | −0.0266598 | − | 0.151195i | ||||
\(119\) | 458900. | − | 2.60255e6i | 0.272318 | − | 1.54439i | ||||
\(120\) | −889052. | − | 323588.i | −0.514498 | − | 0.187262i | ||||
\(121\) | 838131. | + | 1.45169e6i | 0.473103 | + | 0.819438i | ||||
\(122\) | −1.02238e6 | − | 590274.i | −0.563034 | − | 0.325068i | ||||
\(123\) | −851048. | + | 714114.i | −0.457339 | + | 0.383753i | ||||
\(124\) | −827898. | − | 986650.i | −0.434222 | − | 0.517485i | ||||
\(125\) | −784845. | + | 1.35939e6i | −0.401841 | + | 0.696009i | ||||
\(126\) | 834165. | − | 481605.i | 0.417004 | − | 0.240757i | ||||
\(127\) | 834691. | − | 2.29329e6i | 0.407488 | − | 1.11956i | −0.551019 | − | 0.834493i | \(-0.685761\pi\) |
0.958507 | − | 0.285071i | \(-0.0920171\pi\) | |||||||
\(128\) | −182548. | − | 32188.1i | −0.0870455 | − | 0.0153485i | ||||
\(129\) | −3.65925e6 | + | 645224.i | −1.70460 | + | 0.300567i | ||||
\(130\) | −426233. | + | 155136.i | −0.194007 | + | 0.0706127i | ||||
\(131\) | −2.24878e6 | − | 1.88695e6i | −1.00031 | − | 0.839357i | −0.0132799 | − | 0.999912i | \(-0.504227\pi\) |
−0.987027 | + | 0.160555i | \(0.948672\pi\) | |||||||
\(132\) | − | 363205.i | − | 0.157917i | ||||||
\(133\) | −1.54023e6 | + | 1.06969e6i | −0.654680 | + | 0.454678i | ||||
\(134\) | 2.37459e6 | 0.986901 | ||||||||
\(135\) | −356783. | + | 425197.i | −0.145012 | + | 0.172818i | ||||
\(136\) | −598449. | − | 1.64423e6i | −0.237909 | − | 0.653649i | ||||
\(137\) | 763859. | + | 4.33206e6i | 0.297065 | + | 1.68474i | 0.658689 | + | 0.752415i | \(0.271111\pi\) |
−0.361624 | + | 0.932324i | \(0.617778\pi\) | |||||||
\(138\) | −164332. | + | 931971.i | −0.0625294 | + | 0.354622i | ||||
\(139\) | 4.35019e6 | + | 1.58334e6i | 1.61981 | + | 0.589562i | 0.983346 | − | 0.181745i | \(-0.0581745\pi\) |
0.636463 | + | 0.771307i | \(0.280397\pi\) | |||||||
\(140\) | 621837. | + | 1.07705e6i | 0.226617 | + | 0.392512i | ||||
\(141\) | 725410. | + | 418816.i | 0.258777 | + | 0.149405i | ||||
\(142\) | −564217. | + | 473435.i | −0.197052 | + | 0.165346i | ||||
\(143\) | −111928. | − | 133391.i | −0.0382764 | − | 0.0456160i | ||||
\(144\) | 318874. | − | 552306.i | 0.106790 | − | 0.184966i | ||||
\(145\) | −1.47520e6 | + | 851704.i | −0.483889 | + | 0.279373i | ||||
\(146\) | −1.02609e6 | + | 2.81917e6i | −0.329707 | + | 0.905862i | ||||
\(147\) | 1.55341e6 | + | 273908.i | 0.489028 | + | 0.0862289i | ||||
\(148\) | 2.64022e6 | − | 465542.i | 0.814432 | − | 0.143606i | ||||
\(149\) | 1.64029e6 | − | 597017.i | 0.495864 | − | 0.180480i | −0.0819690 | − | 0.996635i | \(-0.526121\pi\) |
0.577833 | + | 0.816155i | \(0.303899\pi\) | |||||||
\(150\) | 730163. | + | 612680.i | 0.216345 | + | 0.181535i | ||||
\(151\) | − | 6.64385e6i | − | 1.92970i | −0.262806 | − | 0.964849i | \(-0.584648\pi\) | ||
0.262806 | − | 0.964849i | \(-0.415352\pi\) | |||||||
\(152\) | −529042. | + | 1.12326e6i | −0.150647 | + | 0.319852i | ||||
\(153\) | 6.02005e6 | 1.68084 | ||||||||
\(154\) | −306891. | + | 365739.i | −0.0840277 | + | 0.100140i | ||||
\(155\) | 1.95691e6 | + | 5.37657e6i | 0.525504 | + | 1.44381i | ||||
\(156\) | −115240. | − | 653558.i | −0.0303549 | − | 0.172151i | ||||
\(157\) | −73480.1 | + | 416726.i | −0.0189876 | + | 0.107684i | −0.992829 | − | 0.119546i | \(-0.961856\pi\) |
0.973841 | + | 0.227231i | \(0.0729671\pi\) | |||||||
\(158\) | 889107. | + | 323608.i | 0.225415 | + | 0.0820443i | ||||
\(159\) | −2.54884e6 | − | 4.41472e6i | −0.634090 | − | 1.09828i | ||||
\(160\) | 713125. | + | 411723.i | 0.174103 | + | 0.100518i | ||||
\(161\) | 952951. | − | 799621.i | 0.228346 | − | 0.191605i | ||||
\(162\) | −2.17290e6 | − | 2.58956e6i | −0.511087 | − | 0.609090i | ||||
\(163\) | 3.06903e6 | − | 5.31572e6i | 0.708661 | − | 1.22744i | −0.256693 | − | 0.966493i | \(-0.582633\pi\) |
0.965354 | − | 0.260944i | \(-0.0840339\pi\) | |||||||
\(164\) | 837383. | − | 483463.i | 0.189842 | − | 0.109605i | ||||
\(165\) | −551840. | + | 1.51617e6i | −0.122846 | + | 0.337517i | ||||
\(166\) | −3.51117e6 | − | 619114.i | −0.767587 | − | 0.135346i | ||||
\(167\) | 98994.6 | − | 17455.4i | 0.0212550 | − | 0.00374784i | −0.163011 | − | 0.986624i | \(-0.552120\pi\) |
0.184266 | + | 0.982876i | \(0.441009\pi\) | |||||||
\(168\) | −1.70987e6 | + | 622343.i | −0.360609 | + | 0.131251i | ||||
\(169\) | 3.45382e6 | + | 2.89810e6i | 0.715550 | + | 0.600417i | ||||
\(170\) | 7.77294e6i | 1.58212i | ||||||||
\(171\) | −3.00900e6 | − | 3.03218e6i | −0.601775 | − | 0.606411i | ||||
\(172\) | 3.23396e6 | 0.635549 | ||||||||
\(173\) | 5.86281e6 | − | 6.98703e6i | 1.13232 | − | 1.34944i | 0.203424 | − | 0.979091i | \(-0.434793\pi\) |
0.928892 | − | 0.370351i | \(-0.120762\pi\) | |||||||
\(174\) | −852397. | − | 2.34194e6i | −0.161806 | − | 0.444558i | ||||
\(175\) | −217571. | − | 1.23391e6i | −0.0405964 | − | 0.230234i | ||||
\(176\) | −54892.8 | + | 311313.i | −0.0100688 | + | 0.0571030i | ||||
\(177\) | −1.54063e6 | − | 560745.i | −0.277830 | − | 0.101122i | ||||
\(178\) | 2.14960e6 | + | 3.72322e6i | 0.381152 | + | 0.660175i | ||||
\(179\) | 7.88861e6 | + | 4.55449e6i | 1.37544 | + | 0.794110i | 0.991606 | − | 0.129293i | \(-0.0412707\pi\) |
0.383832 | + | 0.923403i | \(0.374604\pi\) | |||||||
\(180\) | −2.17027e6 | + | 1.82107e6i | −0.372131 | + | 0.312255i | ||||
\(181\) | −3.12824e6 | − | 3.72809e6i | −0.527551 | − | 0.628710i | 0.434798 | − | 0.900528i | \(-0.356820\pi\) |
−0.962349 | + | 0.271817i | \(0.912375\pi\) | |||||||
\(182\) | −436182. | + | 755490.i | −0.0723526 | + | 0.125318i | ||||
\(183\) | −6.64501e6 | + | 3.83650e6i | −1.08428 | + | 0.626011i | ||||
\(184\) | 281706. | − | 773981.i | 0.0452213 | − | 0.124244i | ||||
\(185\) | −1.17287e7 | − | 2.06809e6i | −1.85240 | − | 0.326628i | ||||
\(186\) | −8.24408e6 | + | 1.45365e6i | −1.28116 | + | 0.225903i | ||||
\(187\) | −2.80402e6 | + | 1.02058e6i | −0.428802 | + | 0.156071i | ||||
\(188\) | −558471. | − | 468613.i | −0.0840480 | − | 0.0705246i | ||||
\(189\) | 1.06751e6i | 0.158120i | ||||||||
\(190\) | 3.91508e6 | − | 3.88515e6i | 0.570795 | − | 0.566431i | ||||
\(191\) | −666840. | −0.0957021 | −0.0478510 | − | 0.998854i | \(-0.515237\pi\) | ||||
−0.0478510 | + | 0.998854i | \(0.515237\pi\) | |||||||
\(192\) | −774415. | + | 922912.i | −0.109413 | + | 0.130394i | ||||
\(193\) | 3.57029e6 | + | 9.80928e6i | 0.496628 | + | 1.36447i | 0.894514 | + | 0.447040i | \(0.147522\pi\) |
−0.397886 | + | 0.917435i | \(0.630256\pi\) | |||||||
\(194\) | −386957. | − | 2.19454e6i | −0.0529978 | − | 0.300565i | ||||
\(195\) | −511933. | + | 2.90331e6i | −0.0690413 | + | 0.391553i | ||||
\(196\) | −1.29007e6 | − | 469548.i | −0.171335 | − | 0.0623608i | ||||
\(197\) | −2.83200e6 | − | 4.90516e6i | −0.370420 | − | 0.641585i | 0.619211 | − | 0.785225i | \(-0.287453\pi\) |
−0.989630 | + | 0.143640i | \(0.954119\pi\) | |||||||
\(198\) | −941890. | − | 543800.i | −0.121340 | − | 0.0700558i | ||||
\(199\) | −3.17961e6 | + | 2.66801e6i | −0.403473 | + | 0.338554i | −0.821834 | − | 0.569727i | \(-0.807049\pi\) |
0.418361 | + | 0.908281i | \(0.362605\pi\) | |||||||
\(200\) | −533245. | − | 635497.i | −0.0666557 | − | 0.0794371i | ||||
\(201\) | 7.71684e6 | − | 1.33660e7i | 0.950279 | − | 1.64593i | ||||
\(202\) | 72450.4 | − | 41829.3i | 0.00878996 | − | 0.00507489i | ||||
\(203\) | −1.12049e6 | + | 3.07852e6i | −0.133943 | + | 0.368005i | ||||
\(204\) | −1.11998e7 | − | 1.97482e6i | −1.31922 | − | 0.232614i | ||||
\(205\) | −4.23014e6 | + | 745888.i | −0.491013 | + | 0.0865789i | ||||
\(206\) | 4.43802e6 | − | 1.61531e6i | 0.507678 | − | 0.184780i | ||||
\(207\) | 2.17082e6 | + | 1.82153e6i | 0.244744 | + | 0.205365i | ||||
\(208\) | 577599.i | 0.0641854i | ||||||||
\(209\) | 1.91558e6 | + | 902216.i | 0.209827 | + | 0.0988261i | ||||
\(210\) | 8.08329e6 | 0.872831 | ||||||||
\(211\) | 3.05991e6 | − | 3.64666e6i | 0.325733 | − | 0.388193i | −0.578181 | − | 0.815909i | \(-0.696237\pi\) |
0.903913 | + | 0.427716i | \(0.140682\pi\) | |||||||
\(212\) | 1.51746e6 | + | 4.16919e6i | 0.159261 | + | 0.437567i | ||||
\(213\) | 831274. | + | 4.71439e6i | 0.0860212 | + | 0.487850i | ||||
\(214\) | 2.04460e6 | − | 1.15955e7i | 0.208625 | − | 1.18317i | ||||
\(215\) | −1.34999e7 | − | 4.91356e6i | −1.35836 | − | 0.494402i | ||||
\(216\) | 353404. | + | 612114.i | 0.0350679 | + | 0.0607394i | ||||
\(217\) | 9.52986e6 | + | 5.50207e6i | 0.932626 | + | 0.538452i | ||||
\(218\) | −9.84186e6 | + | 8.25830e6i | −0.949965 | + | 0.797115i | ||||
\(219\) | 1.25338e7 | + | 1.49372e7i | 1.19331 | + | 1.42213i | ||||
\(220\) | 702142. | − | 1.21615e6i | 0.0659412 | − | 0.114214i | ||||
\(221\) | −4.72180e6 | + | 2.72613e6i | −0.437452 | + | 0.252563i | ||||
\(222\) | 5.95966e6 | − | 1.63740e7i | 0.544707 | − | 1.49657i | ||||
\(223\) | −1.15758e7 | − | 2.04113e6i | −1.04385 | − | 0.184059i | −0.374669 | − | 0.927158i | \(-0.622244\pi\) |
−0.669181 | + | 0.743099i | \(0.733355\pi\) | |||||||
\(224\) | 1.55964e6 | − | 275006.i | 0.138765 | − | 0.0244680i | ||||
\(225\) | 2.68207e6 | − | 976193.i | 0.235463 | − | 0.0857014i | ||||
\(226\) | 4.16370e6 | + | 3.49376e6i | 0.360706 | + | 0.302669i | ||||
\(227\) | − | 3.04583e6i | − | 0.260392i | −0.991488 | − | 0.130196i | \(-0.958439\pi\) | ||
0.991488 | − | 0.130196i | \(-0.0415607\pi\) | |||||||
\(228\) | 4.60329e6 | + | 6.62817e6i | 0.388386 | + | 0.559229i | ||||
\(229\) | −1.40837e7 | −1.17276 | −0.586380 | − | 0.810036i | \(-0.699448\pi\) | ||||
−0.586380 | + | 0.810036i | \(0.699448\pi\) | |||||||
\(230\) | −2.35192e6 | + | 2.80291e6i | −0.193303 | + | 0.230370i | ||||
\(231\) | 1.06133e6 | + | 2.91598e6i | 0.0861022 | + | 0.236564i | ||||
\(232\) | 376664. | + | 2.13617e6i | 0.0301641 | + | 0.171069i | ||||
\(233\) | 2.13831e6 | − | 1.21270e7i | 0.169045 | − | 0.958703i | −0.775750 | − | 0.631041i | \(-0.782628\pi\) |
0.944795 | − | 0.327663i | \(-0.106261\pi\) | |||||||
\(234\) | −1.86740e6 | − | 679677.i | −0.145743 | − | 0.0530463i | ||||
\(235\) | 1.61930e6 | + | 2.80471e6i | 0.124774 | + | 0.216114i | ||||
\(236\) | 1.23577e6 | + | 713472.i | 0.0940160 | + | 0.0542802i | ||||
\(237\) | 4.71090e6 | − | 3.95291e6i | 0.353882 | − | 0.296942i | ||||
\(238\) | 9.60926e6 | + | 1.14519e7i | 0.712786 | + | 0.849465i | ||||
\(239\) | 7.85992e6 | − | 1.36138e7i | 0.575737 | − | 0.997206i | −0.420224 | − | 0.907421i | \(-0.638048\pi\) |
0.995961 | − | 0.0897859i | \(-0.0286183\pi\) | |||||||
\(240\) | 4.63497e6 | − | 2.67600e6i | 0.335284 | − | 0.193576i | ||||
\(241\) | 47024.5 | − | 129199.i | 0.00335949 | − | 0.00923013i | −0.938002 | − | 0.346631i | \(-0.887326\pi\) |
0.941361 | + | 0.337401i | \(0.109548\pi\) | |||||||
\(242\) | −9.33831e6 | − | 1.64660e6i | −0.658904 | − | 0.116183i | ||||
\(243\) | −1.88342e7 | + | 3.32098e6i | −1.31259 | + | 0.231445i | ||||
\(244\) | 6.27545e6 | − | 2.28408e6i | 0.431991 | − | 0.157232i | ||||
\(245\) | 4.67188e6 | + | 3.92017e6i | 0.317683 | + | 0.266567i | ||||
\(246\) | − | 6.28456e6i | − | 0.422153i | ||||||
\(247\) | 3.73320e6 | + | 1.01568e6i | 0.247737 | + | 0.0674008i | ||||
\(248\) | 7.28592e6 | 0.477671 | ||||||||
\(249\) | −1.48953e7 | + | 1.77515e7i | −0.964831 | + | 1.14984i | ||||
\(250\) | −3.03697e6 | − | 8.34401e6i | −0.194366 | − | 0.534017i | ||||
\(251\) | −1.62888e6 | − | 9.23786e6i | −0.103008 | − | 0.584185i | −0.991997 | − | 0.126258i | \(-0.959703\pi\) |
0.888990 | − | 0.457927i | \(-0.151408\pi\) | |||||||
\(252\) | −946164. | + | 5.36596e6i | −0.0591241 | + | 0.335310i | ||||
\(253\) | −1.31993e6 | − | 480415.i | −0.0815059 | − | 0.0296657i | ||||
\(254\) | 6.90270e6 | + | 1.19558e7i | 0.421229 | + | 0.729590i | ||||
\(255\) | 4.37520e7 | + | 2.52602e7i | 2.63862 | + | 1.52341i | ||||
\(256\) | 803256. | − | 674012.i | 0.0478778 | − | 0.0401742i | ||||
\(257\) | −1.76339e6 | − | 2.10153e6i | −0.103884 | − | 0.123804i | 0.711597 | − | 0.702588i | \(-0.247972\pi\) |
−0.815481 | + | 0.578783i | \(0.803528\pi\) | |||||||
\(258\) | 1.05096e7 | − | 1.82031e7i | 0.611965 | − | 1.05995i | ||||
\(259\) | −1.98365e7 | + | 1.14526e7i | −1.14174 | + | 0.659183i | ||||
\(260\) | 877582. | − | 2.41114e6i | 0.0499307 | − | 0.137184i | ||||
\(261\) | −7.34953e6 | − | 1.29592e6i | −0.413369 | − | 0.0728882i | ||||
\(262\) | 1.63538e7 | − | 2.88362e6i | 0.909318 | − | 0.160337i | ||||
\(263\) | 1.32577e7 | − | 4.82541e6i | 0.728787 | − | 0.265257i | 0.0491359 | − | 0.998792i | \(-0.484353\pi\) |
0.679651 | + | 0.733535i | \(0.262131\pi\) | |||||||
\(264\) | 1.57391e6 | + | 1.32067e6i | 0.0855399 | + | 0.0717765i | ||||
\(265\) | − | 1.97095e7i | − | 1.05910i | ||||||
\(266\) | 965092. | − | 1.05640e7i | 0.0512771 | − | 0.561284i | ||||
\(267\) | 2.79428e7 | 1.46803 | ||||||||
\(268\) | −8.63437e6 | + | 1.02900e7i | −0.448566 | + | 0.534580i | ||||
\(269\) | −6.50270e6 | − | 1.78660e7i | −0.334070 | − | 0.917849i | −0.987041 | − | 0.160466i | \(-0.948700\pi\) |
0.652972 | − | 0.757382i | \(-0.273522\pi\) | |||||||
\(270\) | −545232. | − | 3.09217e6i | −0.0277007 | − | 0.157098i | ||||
\(271\) | 99609.5 | − | 564914.i | 0.00500487 | − | 0.0283840i | −0.982203 | − | 0.187822i | \(-0.939857\pi\) |
0.987208 | + | 0.159438i | \(0.0509682\pi\) | |||||||
\(272\) | 9.30115e6 | + | 3.38534e6i | 0.462200 | + | 0.168227i | ||||
\(273\) | 2.83498e6 | + | 4.91032e6i | 0.139335 | + | 0.241336i | ||||
\(274\) | −2.15501e7 | − | 1.24419e7i | −1.04760 | − | 0.604834i | ||||
\(275\) | −1.08376e6 | + | 909384.i | −0.0521117 | + | 0.0437269i | ||||
\(276\) | −3.44107e6 | − | 4.10091e6i | −0.163669 | − | 0.195053i | ||||
\(277\) | 7.73716e6 | − | 1.34011e7i | 0.364034 | − | 0.630526i | −0.624587 | − | 0.780956i | \(-0.714732\pi\) |
0.988621 | + | 0.150430i | \(0.0480658\pi\) | |||||||
\(278\) | −2.26792e7 | + | 1.30938e7i | −1.05559 | + | 0.609443i | ||||
\(279\) | −8.57354e6 | + | 2.35556e7i | −0.394773 | + | 1.08463i | ||||
\(280\) | −6.92840e6 | − | 1.22166e6i | −0.315616 | − | 0.0556516i | ||||
\(281\) | −1.92810e7 | + | 3.39977e6i | −0.868984 | + | 0.153225i | −0.590326 | − | 0.807165i | \(-0.701001\pi\) |
−0.278658 | + | 0.960390i | \(0.589890\pi\) | |||||||
\(282\) | −4.45260e6 | + | 1.62061e6i | −0.198548 | + | 0.0722657i | ||||
\(283\) | 8.68005e6 | + | 7.28343e6i | 0.382969 | + | 0.321349i | 0.813867 | − | 0.581052i | \(-0.197359\pi\) |
−0.430898 | + | 0.902401i | \(0.641803\pi\) | |||||||
\(284\) | − | 4.16646e6i | − | 0.181892i | ||||||
\(285\) | −9.14546e6 | − | 3.46628e7i | −0.395067 | − | 1.49737i | ||||
\(286\) | 985023. | 0.0421064 | ||||||||
\(287\) | −5.31016e6 | + | 6.32841e6i | −0.224627 | + | 0.267700i | ||||
\(288\) | 1.23389e6 | + | 3.39008e6i | 0.0516534 | + | 0.141916i | ||||
\(289\) | 1.20331e7 | + | 6.82429e7i | 0.498520 | + | 2.82725i | ||||
\(290\) | 1.67326e6 | − | 9.48954e6i | 0.0686073 | − | 0.389091i | ||||
\(291\) | −1.36100e7 | − | 4.95365e6i | −0.552307 | − | 0.201023i | ||||
\(292\) | −8.48555e6 | − | 1.46974e7i | −0.340825 | − | 0.590326i | ||||
\(293\) | 2.15577e7 | + | 1.24463e7i | 0.857035 | + | 0.494809i | 0.863018 | − | 0.505173i | \(-0.168571\pi\) |
−0.00598315 | + | 0.999982i | \(0.501905\pi\) | |||||||
\(294\) | −6.83539e6 | + | 5.73557e6i | −0.268981 | + | 0.225702i | ||||
\(295\) | −4.07460e6 | − | 4.85591e6i | −0.158715 | − | 0.189149i | ||||
\(296\) | −7.58287e6 | + | 1.31339e7i | −0.292387 | + | 0.506430i | ||||
\(297\) | 1.04388e6 | − | 602687.i | 0.0398458 | − | 0.0230050i | ||||
\(298\) | −3.37724e6 | + | 9.27889e6i | −0.127618 | + | 0.350629i | ||||
\(299\) | −2.52754e6 | − | 445673.i | −0.0945549 | − | 0.0166726i | ||||
\(300\) | −5.30997e6 | + | 936292.i | −0.196666 | + | 0.0346775i | ||||
\(301\) | −2.59637e7 | + | 9.45002e6i | −0.952067 | + | 0.346524i | ||||
\(302\) | 2.87905e7 | + | 2.41581e7i | 1.04527 | + | 0.877085i | ||||
\(303\) | − | 543741.i | − | 0.0195463i | ||||||
\(304\) | −2.94386e6 | − | 6.37690e6i | −0.104784 | − | 0.226981i | ||||
\(305\) | −2.96667e7 | −1.04561 | ||||||||
\(306\) | −2.18898e7 | + | 2.60873e7i | −0.763973 | + | 0.910468i | ||||
\(307\) | −3.97741e6 | − | 1.09279e7i | −0.137463 | − | 0.377676i | 0.851791 | − | 0.523881i | \(-0.175516\pi\) |
−0.989254 | + | 0.146205i | \(0.953294\pi\) | |||||||
\(308\) | −468988. | − | 2.65977e6i | −0.0160513 | − | 0.0910314i | ||||
\(309\) | 5.33035e6 | − | 3.02299e7i | 0.180668 | − | 1.02462i | ||||
\(310\) | −3.04145e7 | − | 1.10700e7i | −1.02093 | − | 0.371587i | ||||
\(311\) | −1.48886e7 | − | 2.57878e7i | −0.494962 | − | 0.857299i | 0.505021 | − | 0.863107i | \(-0.331485\pi\) |
−0.999983 | + | 0.00580778i | \(0.998151\pi\) | |||||||
\(312\) | 3.25116e6 | + | 1.87706e6i | 0.107047 | + | 0.0618036i | ||||
\(313\) | −1.17692e7 | + | 9.87553e6i | −0.383808 | + | 0.322053i | −0.814195 | − | 0.580591i | \(-0.802821\pi\) |
0.430387 | + | 0.902644i | \(0.358377\pi\) | |||||||
\(314\) | −1.53866e6 | − | 1.83370e6i | −0.0496996 | − | 0.0592297i | ||||
\(315\) | 1.21025e7 | − | 2.09622e7i | 0.387208 | − | 0.670664i | ||||
\(316\) | −4.63526e6 | + | 2.67617e6i | −0.146897 | + | 0.0848110i | ||||
\(317\) | 1.69378e7 | − | 4.65363e7i | 0.531716 | − | 1.46088i | −0.325311 | − | 0.945607i | \(-0.605469\pi\) |
0.857027 | − | 0.515271i | \(-0.172309\pi\) | |||||||
\(318\) | 2.83987e7 | + | 5.00746e6i | 0.883116 | + | 0.155717i | ||||
\(319\) | 3.64297e6 | − | 642354.i | 0.112223 | − | 0.0197880i | ||||
\(320\) | −4.37719e6 | + | 1.59317e6i | −0.133581 | + | 0.0486196i | ||||
\(321\) | −5.86237e7 | − | 4.91911e7i | −1.77238 | − | 1.48721i | ||||
\(322\) | 7.03706e6i | 0.210777i | ||||||||
\(323\) | 3.82361e7 | − | 5.41632e7i | 1.13466 | − | 1.60730i | ||||
\(324\) | 1.91226e7 | 0.562228 | ||||||||
\(325\) | −1.66161e6 | + | 1.98023e6i | −0.0484037 | + | 0.0576852i | ||||
\(326\) | 1.18757e7 | + | 3.26281e7i | 0.342772 | + | 0.941759i | ||||
\(327\) | 1.45002e7 | + | 8.22349e7i | 0.414698 | + | 2.35187i | ||||
\(328\) | −949814. | + | 5.38667e6i | −0.0269164 | + | 0.152651i | ||||
\(329\) | 5.85301e6 | + | 2.13032e6i | 0.164358 | + | 0.0598215i | ||||
\(330\) | −4.56359e6 | − | 7.90437e6i | −0.126989 | − | 0.219951i | ||||
\(331\) | −8.30764e6 | − | 4.79642e6i | −0.229083 | − | 0.132261i | 0.381066 | − | 0.924548i | \(-0.375557\pi\) |
−0.610149 | + | 0.792287i | \(0.708890\pi\) | |||||||
\(332\) | 1.54500e7 | − | 1.29641e7i | 0.422197 | − | 0.354265i | ||||
\(333\) | −3.35394e7 | − | 3.99707e7i | −0.908286 | − | 1.08245i | ||||
\(334\) | −284318. | + | 492454.i | −0.00763072 | + | 0.0132168i | ||||
\(335\) | 5.16778e7 | − | 2.98362e7i | 1.37458 | − | 0.793613i | ||||
\(336\) | 3.52050e6 | − | 9.67250e6i | 0.0928083 | − | 0.254989i | ||||
\(337\) | 6.94179e6 | + | 1.22402e6i | 0.181377 | + | 0.0319816i | 0.263599 | − | 0.964632i | \(-0.415091\pi\) |
−0.0822220 | + | 0.996614i | \(0.526202\pi\) | |||||||
\(338\) | −2.51173e7 | + | 4.42885e6i | −0.650463 | + | 0.114694i | ||||
\(339\) | 3.31965e7 | − | 1.20825e7i | 0.852105 | − | 0.310141i | ||||
\(340\) | −3.36833e7 | − | 2.82636e7i | −0.856994 | − | 0.719103i | ||||
\(341\) | − | 1.24252e7i | − | 0.313358i | ||||||
\(342\) | 2.40809e7 | − | 2.01372e6i | 0.601996 | − | 0.0503408i | ||||
\(343\) | 4.38945e7 | 1.08775 | ||||||||
\(344\) | −1.17592e7 | + | 1.40140e7i | −0.288869 | + | 0.344261i | ||||
\(345\) | 8.13369e6 | + | 2.23471e7i | 0.198075 | + | 0.544208i | ||||
\(346\) | 8.95950e6 | + | 5.08118e7i | 0.216299 | + | 1.22669i | ||||
\(347\) | −5.54360e6 | + | 3.14393e7i | −0.132679 | + | 0.752463i | 0.843768 | + | 0.536708i | \(0.180332\pi\) |
−0.976448 | + | 0.215755i | \(0.930779\pi\) | |||||||
\(348\) | 1.32480e7 | + | 4.82189e6i | 0.314350 | + | 0.114414i | ||||
\(349\) | 3.80754e7 | + | 6.59486e7i | 0.895712 | + | 1.55142i | 0.832921 | + | 0.553392i | \(0.186667\pi\) |
0.0627914 | + | 0.998027i | \(0.480000\pi\) | |||||||
\(350\) | 6.13814e6 | + | 3.54386e6i | 0.143164 | + | 0.0826556i | ||||
\(351\) | 1.68716e6 | − | 1.41570e6i | 0.0390153 | − | 0.0327378i | ||||
\(352\) | −1.14944e6 | − | 1.36985e6i | −0.0263548 | − | 0.0314084i | ||||
\(353\) | −2.27307e7 | + | 3.93707e7i | −0.516759 | + | 0.895053i | 0.483051 | + | 0.875592i | \(0.339528\pi\) |
−0.999811 | + | 0.0194613i | \(0.993805\pi\) | |||||||
\(354\) | 8.03192e6 | − | 4.63723e6i | 0.181055 | − | 0.104532i | ||||
\(355\) | −6.33037e6 | + | 1.73925e7i | −0.141496 | + | 0.388757i | ||||
\(356\) | −2.39505e7 | − | 4.22312e6i | −0.530841 | − | 0.0936017i | ||||
\(357\) | 9.56875e7 | − | 1.68723e7i | 2.10306 | − | 0.370825i | ||||
\(358\) | −4.84206e7 | + | 1.76237e7i | −1.05531 | + | 0.384103i | ||||
\(359\) | 5.66548e7 | + | 4.75390e7i | 1.22448 | + | 1.02746i | 0.998578 | + | 0.0533158i | \(0.0169790\pi\) |
0.225907 | + | 0.974149i | \(0.427465\pi\) | |||||||
\(360\) | − | 1.60263e7i | − | 0.343500i | ||||||
\(361\) | −4.63925e7 | + | 7.81361e6i | −0.986111 | + | 0.166085i | ||||
\(362\) | 2.75301e7 | 0.580339 | ||||||||
\(363\) | −3.96155e7 | + | 4.72120e7i | −0.828220 | + | 0.987034i | ||||
\(364\) | −1.68781e6 | − | 4.63723e6i | −0.0349962 | − | 0.0961512i | ||||
\(365\) | 1.30915e7 | + | 7.42457e7i | 0.269223 | + | 1.52684i | ||||
\(366\) | 7.53721e6 | − | 4.27456e7i | 0.153733 | − | 0.871863i | ||||
\(367\) | 8.18123e6 | + | 2.97772e6i | 0.165509 | + | 0.0602402i | 0.423446 | − | 0.905922i | \(-0.360820\pi\) |
−0.257937 | + | 0.966162i | \(0.583043\pi\) | |||||||
\(368\) | 2.32964e6 | + | 4.03506e6i | 0.0467462 | + | 0.0809668i | ||||
\(369\) | −1.62976e7 | − | 9.40942e6i | −0.324373 | − | 0.187277i | ||||
\(370\) | 5.16092e7 | − | 4.33053e7i | 1.01888 | − | 0.854940i | ||||
\(371\) | −2.43658e7 | − | 2.90380e7i | −0.477154 | − | 0.568650i | ||||
\(372\) | 2.36775e7 | − | 4.10106e7i | 0.459946 | − | 0.796650i | ||||
\(373\) | −4.24170e7 | + | 2.44894e7i | −0.817359 | + | 0.471903i | −0.849505 | − | 0.527581i | \(-0.823099\pi\) |
0.0321456 | + | 0.999483i | \(0.489766\pi\) | |||||||
\(374\) | 5.77328e6 | − | 1.58620e7i | 0.110359 | − | 0.303209i | ||||
\(375\) | −5.68358e7 | − | 1.00217e7i | −1.07777 | − | 0.190041i | ||||
\(376\) | 4.06138e6 | − | 716130.i | 0.0764029 | − | 0.0134719i | ||||
\(377\) | 6.35142e6 | − | 2.31173e6i | 0.118535 | − | 0.0431432i | ||||
\(378\) | −4.62596e6 | − | 3.88164e6i | −0.0856499 | − | 0.0718688i | ||||
\(379\) | − | 2.34953e7i | − | 0.431582i | −0.976440 | − | 0.215791i | \(-0.930767\pi\) | ||
0.976440 | − | 0.215791i | \(-0.0692329\pi\) | |||||||
\(380\) | 2.60006e6 | + | 3.10926e7i | 0.0473841 | + | 0.566639i | ||||
\(381\) | 8.97285e7 | 1.62239 | ||||||||
\(382\) | 2.42473e6 | − | 2.88968e6i | 0.0434985 | − | 0.0518395i | ||||
\(383\) | −1.13887e7 | − | 3.12903e7i | −0.202712 | − | 0.556947i | 0.796126 | − | 0.605130i | \(-0.206879\pi\) |
−0.998839 | + | 0.0481835i | \(0.984657\pi\) | |||||||
\(384\) | −1.18345e6 | − | 6.71170e6i | −0.0209006 | − | 0.118533i | ||||
\(385\) | −2.08340e6 | + | 1.18155e7i | −0.0365082 | + | 0.207048i | ||||
\(386\) | −5.54897e7 | − | 2.01966e7i | −0.964829 | − | 0.351169i | ||||
\(387\) | −3.14705e7 | − | 5.45085e7i | −0.542964 | − | 0.940441i | ||||
\(388\) | 1.09169e7 | + | 6.30286e6i | 0.186897 | + | 0.107905i | ||||
\(389\) | 3.90526e7 | − | 3.27691e7i | 0.663440 | − | 0.556692i | −0.247676 | − | 0.968843i | \(-0.579667\pi\) |
0.911116 | + | 0.412151i | \(0.135222\pi\) | |||||||
\(390\) | −1.07198e7 | − | 1.27753e7i | −0.180714 | − | 0.215366i | ||||
\(391\) | −2.19908e7 | + | 3.80891e7i | −0.367883 | + | 0.637193i | ||||
\(392\) | 6.72564e6 | − | 3.88305e6i | 0.111654 | − | 0.0644636i | ||||
\(393\) | 3.69149e7 | − | 1.01423e8i | 0.608168 | − | 1.67093i | ||||
\(394\) | 3.15536e7 | + | 5.56375e6i | 0.515894 | + | 0.0909660i | ||||
\(395\) | 2.34156e7 | − | 4.12880e6i | 0.379938 | − | 0.0669934i | ||||
\(396\) | 5.78137e6 | − | 2.10424e6i | 0.0930990 | − | 0.0338853i | ||||
\(397\) | −4.32889e7 | − | 3.63237e7i | −0.691839 | − | 0.580522i | 0.227600 | − | 0.973755i | \(-0.426912\pi\) |
−0.919439 | + | 0.393233i | \(0.871357\pi\) | |||||||
\(398\) | − | 2.34798e7i | − | 0.372431i | ||||||
\(399\) | −5.63257e7 | − | 3.97627e7i | −0.886723 | − | 0.625975i | ||||
\(400\) | 4.69283e6 | 0.0733254 | ||||||||
\(401\) | −2.93471e7 | + | 3.49745e7i | −0.455126 | + | 0.542398i | −0.943995 | − | 0.329959i | \(-0.892965\pi\) |
0.488869 | + | 0.872357i | \(0.337409\pi\) | |||||||
\(402\) | 2.98604e7 | + | 8.20409e7i | 0.459640 | + | 1.26285i | ||||
\(403\) | −3.94236e6 | − | 2.23582e7i | −0.0602339 | − | 0.341603i | ||||
\(404\) | −82178.0 | + | 466055.i | −0.00124627 | + | 0.00706794i | ||||
\(405\) | −7.98258e7 | − | 2.90542e7i | −1.20165 | − | 0.437365i | ||||
\(406\) | −9.26618e6 | − | 1.60495e7i | −0.138459 | − | 0.239819i | ||||
\(407\) | 2.23983e7 | + | 1.29316e7i | 0.332224 | + | 0.191810i | ||||
\(408\) | 4.92817e7 | − | 4.13523e7i | 0.725614 | − | 0.608862i | ||||
\(409\) | −2.44302e6 | − | 2.91148e6i | −0.0357073 | − | 0.0425543i | 0.747895 | − | 0.663817i | \(-0.231065\pi\) |
−0.783603 | + | 0.621262i | \(0.786620\pi\) | |||||||
\(410\) | 1.21492e7 | − | 2.10431e7i | 0.176278 | − | 0.305322i | ||||
\(411\) | −1.40065e8 | + | 8.08666e7i | −2.01746 | + | 1.16478i | ||||
\(412\) | −9.13757e6 | + | 2.51053e7i | −0.130659 | + | 0.358982i | ||||
\(413\) | −1.20062e7 | − | 2.11702e6i | −0.170434 | − | 0.0300520i | ||||
\(414\) | −1.57869e7 | + | 2.78365e6i | −0.222482 | + | 0.0392295i | ||||
\(415\) | −8.41920e7 | + | 3.06434e7i | −1.17795 | + | 0.428739i | ||||
\(416\) | −2.50297e6 | − | 2.10024e6i | −0.0347676 | − | 0.0291735i | ||||
\(417\) | 1.70208e8i | 2.34731i | ||||||||
\(418\) | −1.08750e7 | + | 5.02039e6i | −0.148902 | + | 0.0687398i | ||||
\(419\) | 2.58588e7 | 0.351533 | 0.175767 | − | 0.984432i | \(-0.443760\pi\) | ||||
0.175767 | + | 0.984432i | \(0.443760\pi\) | |||||||
\(420\) | −2.93921e7 | + | 3.50281e7i | −0.396719 | + | 0.472791i | ||||
\(421\) | −2.42195e7 | − | 6.65424e7i | −0.324577 | − | 0.891768i | −0.989458 | − | 0.144819i | \(-0.953740\pi\) |
0.664881 | − | 0.746949i | \(-0.268482\pi\) | |||||||
\(422\) | 4.67613e6 | + | 2.65196e7i | 0.0622227 | + | 0.352883i | ||||
\(423\) | −2.46386e6 | + | 1.39733e7i | −0.0325533 | + | 0.184619i | ||||
\(424\) | −2.35845e7 | − | 8.58406e6i | −0.309406 | − | 0.112615i | ||||
\(425\) | 2.21491e7 | + | 3.83633e7i | 0.288528 | + | 0.499746i | ||||
\(426\) | −2.34520e7 | − | 1.35400e7i | −0.303355 | − | 0.175142i | ||||
\(427\) | −4.37079e7 | + | 3.66752e7i | −0.561404 | + | 0.471074i | ||||
\(428\) | 4.28134e7 | + | 5.10231e7i | 0.546070 | + | 0.650781i | ||||
\(429\) | 3.20109e6 | − | 5.54445e6i | 0.0405440 | − | 0.0702242i | ||||
\(430\) | 7.03801e7 | − | 4.06340e7i | 0.885206 | − | 0.511074i | ||||
\(431\) | 1.28022e7 | − | 3.51736e7i | 0.159901 | − | 0.439324i | −0.833707 | − | 0.552207i | \(-0.813786\pi\) |
0.993608 | + | 0.112882i | \(0.0360082\pi\) | |||||||
\(432\) | −3.93757e6 | − | 694299.i | −0.0488401 | − | 0.00861183i | ||||
\(433\) | −1.31143e7 | + | 2.31241e6i | −0.161541 | + | 0.0284840i | −0.253833 | − | 0.967248i | \(-0.581692\pi\) |
0.0922929 | + | 0.995732i | \(0.470580\pi\) | |||||||
\(434\) | −5.84947e7 | + | 2.12903e7i | −0.715563 | + | 0.260444i | ||||
\(435\) | −4.79766e7 | − | 4.02571e7i | −0.582856 | − | 0.489074i | ||||
\(436\) | − | 7.26772e7i | − | 0.876877i | ||||||
\(437\) | 3.01764e7 | − | 7.96175e6i | 0.361596 | − | 0.0954035i | ||||
\(438\) | −1.10304e8 | −1.31271 | ||||||||
\(439\) | 4.83498e7 | − | 5.76211e7i | 0.571481 | − | 0.681064i | −0.400454 | − | 0.916317i | \(-0.631147\pi\) |
0.971934 | + | 0.235253i | \(0.0755919\pi\) | |||||||
\(440\) | 2.71695e6 | + | 7.46476e6i | 0.0318951 | + | 0.0876310i | ||||
\(441\) | 4.63978e6 | + | 2.63135e7i | 0.0540981 | + | 0.306805i | ||||
\(442\) | 5.35577e6 | − | 3.03741e7i | 0.0620234 | − | 0.351752i | ||||
\(443\) | −8.19699e7 | − | 2.98346e7i | −0.942852 | − | 0.343170i | −0.175560 | − | 0.984469i | \(-0.556174\pi\) |
−0.767291 | + | 0.641299i | \(0.778396\pi\) | |||||||
\(444\) | 4.92850e7 | + | 8.53642e7i | 0.563075 | + | 0.975274i | ||||
\(445\) | 9.35629e7 | + | 5.40186e7i | 1.06175 | + | 0.613004i | ||||
\(446\) | 5.09366e7 | − | 4.27409e7i | 0.574151 | − | 0.481769i | ||||
\(447\) | 4.12533e7 | + | 4.91638e7i | 0.461888 | + | 0.550457i | ||||
\(448\) | −4.47937e6 | + | 7.75849e6i | −0.0498176 | + | 0.0862866i | ||||
\(449\) | 4.11482e7 | − | 2.37569e7i | 0.454581 | − | 0.262453i | −0.255182 | − | 0.966893i | \(-0.582135\pi\) |
0.709763 | + | 0.704440i | \(0.248802\pi\) | |||||||
\(450\) | −5.52218e6 | + | 1.51721e7i | −0.0606001 | + | 0.166497i | ||||
\(451\) | 9.18629e6 | + | 1.61979e6i | 0.100141 | + | 0.0176575i | ||||
\(452\) | −3.02797e7 | + | 5.33913e6i | −0.327896 | + | 0.0578169i | ||||
\(453\) | 2.29542e8 | − | 8.35465e7i | 2.46926 | − | 0.898739i | ||||
\(454\) | 1.31988e7 | + | 1.10751e7i | 0.141048 | + | 0.118353i | ||||
\(455\) | 2.19221e7i | 0.232728i | ||||||||
\(456\) | −4.54608e7 | − | 4.15316e6i | −0.479449 | − | 0.0438010i | ||||
\(457\) | 5.19218e7 | 0.544003 | 0.272002 | − | 0.962297i | \(-0.412314\pi\) | ||||
0.272002 | + | 0.962297i | \(0.412314\pi\) | |||||||
\(458\) | 5.12104e7 | − | 6.10302e7i | 0.533042 | − | 0.635255i | ||||
\(459\) | −1.29086e7 | − | 3.54661e7i | −0.133488 | − | 0.366754i | ||||
\(460\) | −3.59418e6 | − | 2.03836e7i | −0.0369255 | − | 0.209415i | ||||
\(461\) | −9.68053e6 | + | 5.49010e7i | −0.0988090 | + | 0.560374i | 0.894704 | + | 0.446659i | \(0.147386\pi\) |
−0.993513 | + | 0.113715i | \(0.963725\pi\) | |||||||
\(462\) | −1.64953e7 | − | 6.00378e6i | −0.167276 | − | 0.0608834i | ||||
\(463\) | 2.00833e6 | + | 3.47853e6i | 0.0202345 | + | 0.0350471i | 0.875965 | − | 0.482374i | \(-0.160225\pi\) |
−0.855731 | + | 0.517421i | \(0.826892\pi\) | |||||||
\(464\) | −1.06265e7 | − | 6.13520e6i | −0.106374 | − | 0.0614151i | ||||
\(465\) | −1.61150e8 | + | 1.35221e8i | −1.60277 | + | 1.34488i | ||||
\(466\) | 4.47758e7 | + | 5.33617e7i | 0.442472 | + | 0.527317i | ||||
\(467\) | −2.86733e7 | + | 4.96635e7i | −0.281531 | + | 0.487626i | −0.971762 | − | 0.235963i | \(-0.924176\pi\) |
0.690231 | + | 0.723589i | \(0.257509\pi\) | |||||||
\(468\) | 9.73546e6 | − | 5.62077e6i | 0.0949771 | − | 0.0548350i | ||||
\(469\) | 3.92520e7 | − | 1.07844e8i | 0.380490 | − | 1.04539i | ||||
\(470\) | −1.80419e7 | − | 3.18128e6i | −0.173776 | − | 0.0306414i | ||||
\(471\) | −1.53217e7 | + | 2.70163e6i | −0.146637 | + | 0.0258561i | ||||
\(472\) | −7.58522e6 | + | 2.76079e6i | −0.0721343 | + | 0.0262547i | ||||
\(473\) | 2.38992e7 | + | 2.00538e7i | 0.225840 | + | 0.189502i | ||||
\(474\) | 3.47876e7i | 0.326655i | ||||||||
\(475\) | 8.25209e6 | − | 3.03312e7i | 0.0769987 | − | 0.283014i | ||||
\(476\) | −8.45663e7 | −0.784109 | ||||||||
\(477\) | 5.55051e7 | − | 6.61484e7i | 0.511420 | − | 0.609487i | ||||
\(478\) | 3.04141e7 | + | 8.35620e7i | 0.278478 | + | 0.765112i | ||||
\(479\) | −2.51051e7 | − | 1.42378e8i | −0.228431 | − | 1.29550i | −0.856016 | − | 0.516949i | \(-0.827068\pi\) |
0.627585 | − | 0.778548i | \(-0.284043\pi\) | |||||||
\(480\) | −5.25728e6 | + | 2.98155e7i | −0.0475377 | + | 0.269599i | ||||
\(481\) | 4.44069e7 | + | 1.61628e7i | 0.399039 | + | 0.145238i | ||||
\(482\) | 388882. | + | 673564.i | 0.00347278 | + | 0.00601503i | ||||
\(483\) | 3.96099e7 | + | 2.28688e7i | 0.351530 | + | 0.202956i | ||||
\(484\) | 4.10909e7 | − | 3.44794e7i | 0.362418 | − | 0.304105i | ||||
\(485\) | −3.59952e7 | − | 4.28974e7i | −0.315515 | − | 0.376016i | ||||
\(486\) | 5.40930e7 | − | 9.36917e7i | 0.471229 | − | 0.816192i | ||||
\(487\) | 1.79201e6 | − | 1.03462e6i | 0.0155151 | − | 0.00895763i | −0.492222 | − | 0.870469i | \(-0.663815\pi\) |
0.507737 | + | 0.861512i | \(0.330482\pi\) | |||||||
\(488\) | −1.29207e7 | + | 3.54993e7i | −0.111180 | + | 0.305464i | ||||
\(489\) | 2.22249e8 | + | 3.91885e7i | 1.90070 | + | 0.335144i | ||||
\(490\) | −3.39754e7 | + | 5.99078e6i | −0.288786 | + | 0.0509208i | ||||
\(491\) | 2.06873e8 | − | 7.52955e7i | 1.74767 | − | 0.636099i | 0.748046 | − | 0.663647i | \(-0.230992\pi\) |
0.999620 | + | 0.0275480i | \(0.00876992\pi\) | |||||||
\(492\) | 2.72335e7 | + | 2.28516e7i | 0.228670 | + | 0.191877i | ||||
\(493\) | − | 1.15827e8i | − | 0.966649i | ||||||
\(494\) | −1.79758e7 | + | 1.24843e7i | −0.149110 | + | 0.103558i | ||||
\(495\) | −2.73309e7 | −0.225340 | ||||||||
\(496\) | −2.64927e7 | + | 3.15728e7i | −0.217111 | + | 0.258743i | ||||
\(497\) | 1.21749e7 | + | 3.34503e7i | 0.0991738 | + | 0.272478i | ||||
\(498\) | −2.27629e7 | − | 1.29095e8i | −0.184306 | − | 1.04525i | ||||
\(499\) | 1.91640e7 | − | 1.08684e8i | 0.154235 | − | 0.874713i | −0.805246 | − | 0.592941i | \(-0.797967\pi\) |
0.959481 | − | 0.281772i | \(-0.0909221\pi\) | |||||||
\(500\) | 4.72009e7 | + | 1.71797e7i | 0.377607 | + | 0.137438i | ||||
\(501\) | 1.84793e6 | + | 3.20072e6i | 0.0146951 | + | 0.0254527i | ||||
\(502\) | 4.59542e7 | + | 2.65317e7i | 0.363257 | + | 0.209727i | ||||
\(503\) | −1.09452e8 | + | 9.18414e7i | −0.860045 | + | 0.721663i | −0.961978 | − | 0.273128i | \(-0.911942\pi\) |
0.101933 | + | 0.994791i | \(0.467497\pi\) | |||||||
\(504\) | −1.98125e7 | − | 2.36116e7i | −0.154756 | − | 0.184431i | ||||
\(505\) | 1.05115e6 | − | 1.82065e6i | 0.00816190 | − | 0.0141368i | ||||
\(506\) | 6.88130e6 | − | 3.97292e6i | 0.0531152 | − | 0.0306661i | ||||
\(507\) | −5.66962e7 | + | 1.55772e8i | −0.435041 | + | 1.19527i | ||||
\(508\) | −7.69087e7 | − | 1.35611e7i | −0.586657 | − | 0.103443i | ||||
\(509\) | −2.28896e8 | + | 4.03605e7i | −1.73574 | + | 0.306058i | −0.949942 | − | 0.312425i | \(-0.898859\pi\) |
−0.785798 | + | 0.618483i | \(0.787747\pi\) | |||||||
\(510\) | −2.68552e8 | + | 9.77448e7i | −2.02450 | + | 0.736857i | ||||
\(511\) | 1.11074e8 | + | 9.32018e7i | 0.832431 | + | 0.698492i | ||||
\(512\) | 5.93164e6i | 0.0441942i | ||||||||
\(513\) | −1.14115e7 | + | 2.42288e7i | −0.0845259 | + | 0.179465i | ||||
\(514\) | 1.55187e7 | 0.114279 | ||||||||
\(515\) | 7.62880e7 | − | 9.09165e7i | 0.558515 | − | 0.665612i | ||||
\(516\) | 4.06670e7 | + | 1.11732e8i | 0.296001 | + | 0.813256i | ||||
\(517\) | −1.22127e6 | − | 6.92617e6i | −0.00883773 | − | 0.0501212i | ||||
\(518\) | 2.24999e7 | − | 1.27603e8i | 0.161879 | − | 0.918063i | ||||
\(519\) | 3.15123e8 | + | 1.14696e8i | 2.25413 | + | 0.820435i | ||||
\(520\) | 7.25740e6 | + | 1.25702e7i | 0.0516144 | + | 0.0893988i | ||||
\(521\) | −1.48742e8 | − | 8.58762e7i | −1.05177 | − | 0.607239i | −0.128625 | − | 0.991693i | \(-0.541056\pi\) |
−0.923144 | + | 0.384455i | \(0.874390\pi\) | |||||||
\(522\) | 3.23398e7 | − | 2.71363e7i | 0.227366 | − | 0.190783i | ||||
\(523\) | 1.13339e7 | + | 1.35073e7i | 0.0792275 | + | 0.0944197i | 0.804202 | − | 0.594356i | \(-0.202593\pi\) |
−0.724975 | + | 0.688776i | \(0.758149\pi\) | |||||||
\(524\) | −4.69692e7 | + | 8.13530e7i | −0.326452 | + | 0.565431i | ||||
\(525\) | 3.98950e7 | − | 2.30334e7i | 0.275702 | − | 0.159177i | ||||
\(526\) | −2.72966e7 | + | 7.49969e7i | −0.187565 | + | 0.515331i | ||||
\(527\) | −3.83143e8 | − | 6.75585e7i | −2.61776 | − | 0.461581i | ||||
\(528\) | −1.14460e7 | + | 2.01824e6i | −0.0777591 | + | 0.0137110i | ||||
\(529\) | 1.19654e8 | − | 4.35503e7i | 0.808274 | − | 0.294188i | ||||
\(530\) | 8.54093e7 | + | 7.16669e7i | 0.573690 | + | 0.481383i | ||||
\(531\) | − | 2.77720e7i | − | 0.185491i | ||||||
\(532\) | 4.22688e7 | + | 4.25944e7i | 0.280727 | + | 0.282890i | ||||
\(533\) | 1.70439e7 | 0.112561 | ||||||||
\(534\) | −1.01604e8 | + | 1.21087e8i | −0.667250 | + | 0.795197i | ||||
\(535\) | −1.01199e8 | − | 2.78041e8i | −0.660865 | − | 1.81571i | ||||
\(536\) | −1.31950e7 | − | 7.48324e7i | −0.0856868 | − | 0.485954i | ||||
\(537\) | −5.81563e7 | + | 3.29820e8i | −0.375555 | + | 2.12988i | ||||
\(538\) | 1.01065e8 | + | 3.67848e7i | 0.649017 | + | 0.236223i | ||||
\(539\) | −6.62206e6 | − | 1.14697e7i | −0.0422890 | − | 0.0732466i | ||||
\(540\) | 1.53821e7 | + | 8.88089e6i | 0.0976867 | + | 0.0563995i | ||||
\(541\) | 2.44570e7 | − | 2.05218e7i | 0.154458 | − | 0.129606i | −0.562284 | − | 0.826944i | \(-0.690077\pi\) |
0.716742 | + | 0.697339i | \(0.245633\pi\) | |||||||
\(542\) | 2.08580e6 | + | 2.48576e6i | 0.0131001 | + | 0.0156121i | ||||
\(543\) | 8.94662e7 | − | 1.54960e8i | 0.558804 | − | 0.967877i | ||||
\(544\) | −4.84905e7 | + | 2.79960e7i | −0.301203 | + | 0.173900i | ||||
\(545\) | −1.10423e8 | + | 3.03385e8i | −0.682135 | + | 1.87415i | ||||
\(546\) | −3.15868e7 | − | 5.56961e6i | −0.194056 | − | 0.0342174i | ||||
\(547\) | 1.78000e8 | − | 3.13863e7i | 1.08757 | − | 0.191769i | 0.399012 | − | 0.916946i | \(-0.369353\pi\) |
0.688563 | + | 0.725177i | \(0.258242\pi\) | |||||||
\(548\) | 1.32275e8 | − | 4.81443e7i | 0.803780 | − | 0.292552i | ||||
\(549\) | −9.95662e7 | − | 8.35460e7i | −0.601721 | − | 0.504904i | ||||
\(550\) | − | 8.00304e6i | − | 0.0481024i | ||||||
\(551\) | −5.83398e7 | + | 5.78938e7i | −0.348747 | + | 0.346080i | ||||
\(552\) | 3.02832e7 | 0.180046 | ||||||||
\(553\) | 2.93939e7 | − | 3.50303e7i | 0.173813 | − | 0.207142i | ||||
\(554\) | 2.99391e7 | + | 8.22569e7i | 0.176080 | + | 0.483774i | ||||
\(555\) | −7.60370e7 | − | 4.31227e8i | −0.444781 | − | 2.52248i | ||||
\(556\) | 2.57242e7 | − | 1.45889e8i | 0.149664 | − | 0.848788i | ||||
\(557\) | −3.88624e7 | − | 1.41447e7i | −0.224887 | − | 0.0818520i | 0.227119 | − | 0.973867i | \(-0.427069\pi\) |
−0.452006 | + | 0.892015i | \(0.649291\pi\) | |||||||
\(558\) | −7.09012e7 | − | 1.22805e8i | −0.408085 | − | 0.706825i | ||||
\(559\) | 4.93675e7 | + | 2.85023e7i | 0.282622 | + | 0.163172i | ||||
\(560\) | 3.04867e7 | − | 2.55814e7i | 0.173599 | − | 0.145667i | ||||
\(561\) | −7.05212e7 | − | 8.40439e7i | −0.399421 | − | 0.476012i | ||||
\(562\) | 5.53763e7 | − | 9.59146e7i | 0.311972 | − | 0.540351i | ||||
\(563\) | −9.35105e7 | + | 5.39883e7i | −0.524005 | + | 0.302534i | −0.738572 | − | 0.674175i | \(-0.764499\pi\) |
0.214567 | + | 0.976709i | \(0.431166\pi\) | |||||||
\(564\) | 9.16758e6 | − | 2.51877e7i | 0.0510996 | − | 0.140395i | ||||
\(565\) | 1.34512e8 | + | 2.37181e7i | 0.745789 | + | 0.131503i | ||||
\(566\) | −6.31241e7 | + | 1.11305e7i | −0.348133 | + | 0.0613853i | ||||
\(567\) | −1.53525e8 | + | 5.58786e7i | −0.842230 | + | 0.306547i | ||||
\(568\) | 1.80550e7 | + | 1.51499e7i | 0.0985261 | + | 0.0826732i | ||||
\(569\) | 6.59347e7i | 0.357913i | 0.983857 | + | 0.178956i | \(0.0572721\pi\) | ||||
−0.983857 | + | 0.178956i | \(0.942728\pi\) | |||||||
\(570\) | 1.83462e8 | + | 8.64085e7i | 0.990655 | + | 0.466586i | ||||
\(571\) | −3.18970e8 | −1.71333 | −0.856667 | − | 0.515870i | \(-0.827469\pi\) | ||||
−0.856667 | + | 0.515870i | \(0.827469\pi\) | |||||||
\(572\) | −3.58170e6 | + | 4.26850e6i | −0.0191382 | + | 0.0228080i | ||||
\(573\) | −8.38551e6 | − | 2.30390e7i | −0.0445724 | − | 0.122462i | ||||
\(574\) | −8.11494e6 | − | 4.60221e7i | −0.0429091 | − | 0.243350i | ||||
\(575\) | −3.62097e6 | + | 2.05355e7i | −0.0190468 | + | 0.108020i | ||||
\(576\) | −1.91772e7 | − | 6.97993e6i | −0.100350 | − | 0.0365244i | ||||
\(577\) | −8.83027e7 | − | 1.52945e8i | −0.459671 | − | 0.796173i | 0.539273 | − | 0.842131i | \(-0.318699\pi\) |
−0.998943 | + | 0.0459583i | \(0.985366\pi\) | |||||||
\(578\) | −3.39478e8 | − | 1.95998e8i | −1.75804 | − | 1.01500i | ||||
\(579\) | −2.94010e8 | + | 2.46704e8i | −1.51470 | + | 1.27098i | ||||
\(580\) | 3.50378e7 | + | 4.17564e7i | 0.179578 | + | 0.214012i | ||||
\(581\) | −8.61573e7 | + | 1.49229e8i | −0.439303 | + | 0.760894i | ||||
\(582\) | 7.09544e7 | − | 4.09656e7i | 0.359924 | − | 0.207802i | ||||
\(583\) | −1.46391e7 | + | 4.02205e7i | −0.0738767 | + | 0.202975i | ||||
\(584\) | 9.45445e7 | + | 1.66708e7i | 0.474677 | + | 0.0836983i | ||||
\(585\) | −4.91798e7 | + | 8.67173e6i | −0.245652 | + | 0.0433150i | ||||
\(586\) | −1.32322e8 | + | 4.81612e7i | −0.657565 | + | 0.239334i | ||||
\(587\) | 2.11776e8 | + | 1.77701e8i | 1.04704 | + | 0.878570i | 0.992779 | − | 0.119957i | \(-0.0382756\pi\) |
0.0542600 | + | 0.998527i | \(0.482720\pi\) | |||||||
\(588\) | − | 5.04759e7i | − | 0.248286i | ||||||
\(589\) | 1.57479e8 | + | 2.26750e8i | 0.770683 | + | 1.10969i | ||||
\(590\) | 3.58585e7 | 0.174597 | ||||||||
\(591\) | 1.33859e8 | − | 1.59527e8i | 0.648461 | − | 0.772806i | ||||
\(592\) | −2.93420e7 | − | 8.06166e7i | −0.141425 | − | 0.388561i | ||||
\(593\) | 4.70703e7 | + | 2.66949e8i | 0.225726 | + | 1.28016i | 0.861292 | + | 0.508111i | \(0.169656\pi\) |
−0.635565 | + | 0.772047i | \(0.719233\pi\) | |||||||
\(594\) | −1.18404e6 | + | 6.71503e6i | −0.00564947 | + | 0.0320397i | ||||
\(595\) | 3.53015e8 | + | 1.28487e8i | 1.67588 | + | 0.609970i | ||||
\(596\) | −2.79290e7 | − | 4.83744e7i | −0.131922 | − | 0.228495i | ||||
\(597\) | −1.32162e8 | − | 7.63038e7i | −0.621132 | − | 0.358611i | ||||
\(598\) | 1.11218e7 | − | 9.33230e6i | 0.0520082 | − | 0.0436400i | ||||
\(599\) | −2.18949e7 | − | 2.60934e7i | −0.101874 | − | 0.121409i | 0.712698 | − | 0.701471i | \(-0.247473\pi\) |
−0.814572 | + | 0.580062i | \(0.803028\pi\) | |||||||
\(600\) | 1.52506e7 | − | 2.64148e7i | 0.0706045 | − | 0.122291i | ||||
\(601\) | 6.10673e7 | − | 3.52572e7i | 0.281310 | − | 0.162415i | −0.352706 | − | 0.935734i | \(-0.614738\pi\) |
0.634016 | + | 0.773320i | \(0.281405\pi\) | |||||||
\(602\) | 5.34574e7 | − | 1.46873e8i | 0.245029 | − | 0.673213i | ||||
\(603\) | 2.57462e8 | + | 4.53976e7i | 1.17425 | + | 0.207053i | ||||
\(604\) | −2.09373e8 | + | 3.69182e7i | −0.950190 | + | 0.167544i | ||||
\(605\) | −2.23917e8 | + | 8.14992e7i | −1.01116 | + | 0.368033i | ||||
\(606\) | 2.35625e6 | + | 1.97713e6i | 0.0105877 | + | 0.00888416i | ||||
\(607\) | 2.84658e8i | 1.27279i | 0.771362 | + | 0.636396i | \(0.219576\pi\) | ||||
−0.771362 | + | 0.636396i | \(0.780424\pi\) | |||||||
\(608\) | 3.83380e7 | + | 1.04305e7i | 0.170576 | + | 0.0464081i | ||||
\(609\) | −1.20451e8 | −0.533286 | ||||||||
\(610\) | 1.07873e8 | − | 1.28558e8i | 0.475250 | − | 0.566380i | ||||
\(611\) | −4.39516e6 | − | 1.20756e7i | −0.0192686 | − | 0.0529402i | ||||
\(612\) | −3.34519e7 | − | 1.89715e8i | −0.145937 | − | 0.827651i | ||||
\(613\) | 2.16030e7 | − | 1.22517e8i | 0.0937851 | − | 0.531881i | −0.901328 | − | 0.433138i | \(-0.857406\pi\) |
0.995113 | − | 0.0987439i | \(-0.0314825\pi\) | |||||||
\(614\) | 6.18173e7 | + | 2.24996e7i | 0.267057 | + | 0.0972010i | ||||
\(615\) | −7.89641e7 | − | 1.36770e8i | −0.339472 | − | 0.587984i | ||||
\(616\) | 1.32311e7 | + | 7.63901e6i | 0.0566051 | + | 0.0326810i | ||||
\(617\) | −7.60819e7 | + | 6.38403e7i | −0.323911 | + | 0.271794i | −0.790213 | − | 0.612832i | \(-0.790030\pi\) |
0.466302 | + | 0.884625i | \(0.345586\pi\) | |||||||
\(618\) | 1.11616e8 | + | 1.33019e8i | 0.472892 | + | 0.563571i | ||||
\(619\) | 2.74391e7 | − | 4.75259e7i | 0.115690 | − | 0.200382i | −0.802365 | − | 0.596834i | \(-0.796425\pi\) |
0.918056 | + | 0.396452i | \(0.129759\pi\) | |||||||
\(620\) | 1.58562e8 | − | 9.15460e7i | 0.665311 | − | 0.384118i | ||||
\(621\) | 6.07642e6 | − | 1.66948e7i | 0.0253731 | − | 0.0697119i | ||||
\(622\) | 1.65886e8 | + | 2.92502e7i | 0.689348 | + | 0.121551i | ||||
\(623\) | 2.04626e8 | − | 3.60811e7i | 0.846248 | − | 0.149216i | ||||
\(624\) | −1.99558e7 | + | 7.26331e6i | −0.0821324 | + | 0.0298938i | ||||
\(625\) | −2.25788e8 | − | 1.89458e8i | −0.924827 | − | 0.776022i | ||||
\(626\) | − | 8.69096e7i | − | 0.354279i | ||||||
\(627\) | −7.08270e6 | + | 7.75278e7i | −0.0287340 | + | 0.314525i | ||||
\(628\) | 1.35410e7 | 0.0546727 | ||||||||
\(629\) | 5.20543e8 | − | 6.20359e8i | 2.09173 | − | 2.49282i | ||||
\(630\) | 4.68309e7 | + | 1.28667e8i | 0.187288 | + | 0.514571i | ||||
\(631\) | 1.03193e7 | + | 5.85234e7i | 0.0410734 | + | 0.232939i | 0.998433 | − | 0.0559601i | \(-0.0178220\pi\) |
−0.957360 | + | 0.288899i | \(0.906711\pi\) | |||||||
\(632\) | 5.25761e6 | − | 2.98174e7i | 0.0208275 | − | 0.118119i | ||||
\(633\) | 1.64469e8 | + | 5.98617e7i | 0.648444 | + | 0.236014i | ||||
\(634\) | 1.40072e8 | + | 2.42612e8i | 0.549646 | + | 0.952015i | ||||
\(635\) | 3.00445e8 | + | 1.73462e8i | 1.17339 | + | 0.677459i | ||||
\(636\) | −1.24962e8 | + | 1.04855e8i | −0.485741 | + | 0.407585i | ||||
\(637\) | −1.55551e7 | − | 1.85378e7i | −0.0601802 | − | 0.0717200i | ||||
\(638\) | −1.04628e7 | + | 1.81222e7i | −0.0402891 | + | 0.0697827i | ||||
\(639\) | −7.02259e7 | + | 4.05450e7i | −0.269150 | + | 0.155394i | ||||
\(640\) | 9.01232e6 | − | 2.47611e7i | 0.0343793 | − | 0.0944563i | ||||
\(641\) | 7.62023e7 | + | 1.34365e7i | 0.289330 | + | 0.0510168i | 0.316430 | − | 0.948616i | \(-0.397516\pi\) |
−0.0270992 | + | 0.999633i | \(0.508627\pi\) | |||||||
\(642\) | 4.26329e8 | − | 7.51734e7i | 1.61117 | − | 0.284092i | ||||
\(643\) | −2.18370e8 | + | 7.94802e7i | −0.821410 | + | 0.298969i | −0.718329 | − | 0.695704i | \(-0.755093\pi\) |
−0.103082 | + | 0.994673i | \(0.532870\pi\) | |||||||
\(644\) | −3.04944e7 | − | 2.55879e7i | −0.114173 | − | 0.0958024i | ||||
\(645\) | − | 5.28203e8i | − | 1.96844i | ||||||
\(646\) | 9.56786e7 | + | 3.62638e8i | 0.354909 | + | 1.34517i | ||||
\(647\) | −1.10057e8 | −0.406355 | −0.203177 | − | 0.979142i | \(-0.565127\pi\) | ||||
−0.203177 | + | 0.979142i | \(0.565127\pi\) | |||||||
\(648\) | −6.95328e7 | + | 8.28660e7i | −0.255543 | + | 0.304545i | ||||
\(649\) | 4.70819e6 | + | 1.29356e7i | 0.0172234 | + | 0.0473210i | ||||
\(650\) | −2.53925e6 | − | 1.44008e7i | −0.00924626 | − | 0.0524381i | ||||
\(651\) | −7.02559e7 | + | 3.98441e8i | −0.254648 | + | 1.44418i | ||||
\(652\) | −1.84573e8 | − | 6.71789e7i | −0.665924 | − | 0.242376i | ||||
\(653\) | 1.34217e8 | + | 2.32471e8i | 0.482024 | + | 0.834890i | 0.999787 | − | 0.0206339i | \(-0.00656846\pi\) |
−0.517763 | + | 0.855524i | \(0.673235\pi\) | |||||||
\(654\) | −4.09082e8 | − | 2.36184e8i | −1.46244 | − | 0.844338i | ||||
\(655\) | 3.19674e8 | − | 2.68238e8i | 1.13758 | − | 0.954546i | ||||
\(656\) | −1.98889e7 | − | 2.37027e7i | −0.0704530 | − | 0.0839626i | ||||
\(657\) | −1.65150e8 | + | 2.86049e8i | −0.582349 | + | 1.00866i | ||||
\(658\) | −3.05140e7 | + | 1.76173e7i | −0.107108 | + | 0.0618388i | ||||
\(659\) | −9.33979e7 | + | 2.56609e8i | −0.326348 | + | 0.896634i | 0.662680 | + | 0.748903i | \(0.269419\pi\) |
−0.989028 | + | 0.147731i | \(0.952803\pi\) | |||||||
\(660\) | 5.08467e7 | + | 8.96565e6i | 0.176861 | + | 0.0311853i | ||||
\(661\) | −3.91731e7 | + | 6.90728e6i | −0.135639 | + | 0.0239168i | −0.241055 | − | 0.970511i | \(-0.577494\pi\) |
0.105417 | + | 0.994428i | \(0.466382\pi\) | |||||||
\(662\) | 5.09927e7 | − | 1.85598e7i | 0.175766 | − | 0.0639734i | ||||
\(663\) | −1.53563e8 | − | 1.28855e8i | −0.526923 | − | 0.442141i | ||||
\(664\) | 1.14091e8i | 0.389714i | ||||||||
\(665\) | −1.11731e8 | − | 2.42028e8i | −0.379935 | − | 0.823003i | ||||
\(666\) | 2.95164e8 | 0.999172 | ||||||||
\(667\) | 3.50466e7 | − | 4.17669e7i | 0.118105 | − | 0.140752i | ||||
\(668\) | −1.10017e6 | − | 3.02271e6i | −0.00369090 | − | 0.0101407i | ||||
\(669\) | −7.50461e7 | − | 4.25607e8i | −0.250640 | − | 1.42145i | ||||
\(670\) | −5.86163e7 | + | 3.32429e8i | −0.194892 | + | 1.10529i | ||||
\(671\) | 6.05396e7 | + | 2.20346e7i | 0.200388 | + | 0.0729354i | ||||
\(672\) | 2.91137e7 | + | 5.04265e7i | 0.0959379 | + | 0.166169i | ||||
\(673\) | 3.36382e8 | + | 1.94210e8i | 1.10354 | + | 0.637128i | 0.937148 | − | 0.348933i | \(-0.113456\pi\) |
0.166389 | + | 0.986060i | \(0.446789\pi\) | |||||||
\(674\) | −3.05456e7 | + | 2.56308e7i | −0.0997629 | + | 0.0837110i | ||||
\(675\) | −1.15021e7 | − | 1.37077e7i | −0.0373996 | − | 0.0445711i | ||||
\(676\) | 7.21383e7 | − | 1.24947e8i | 0.233521 | − | 0.404470i | ||||
\(677\) | 2.95868e8 | − | 1.70820e8i | 0.953526 | − | 0.550519i | 0.0593517 | − | 0.998237i | \(-0.481097\pi\) |
0.894175 | + | 0.447718i | \(0.147763\pi\) | |||||||
\(678\) | −6.83492e7 | + | 1.87788e8i | −0.219303 | + | 0.602529i | ||||
\(679\) | −1.06063e8 | − | 1.87018e7i | −0.338810 | − | 0.0597414i | ||||
\(680\) | 2.44955e8 | − | 4.31922e7i | 0.779041 | − | 0.137366i | ||||
\(681\) | 1.05232e8 | − | 3.83013e7i | 0.333201 | − | 0.121275i | ||||
\(682\) | 5.38435e7 | + | 4.51801e7i | 0.169738 | + | 0.142428i | ||||
\(683\) | 6.12319e8i | 1.92183i | 0.276838 | + | 0.960917i | \(0.410713\pi\) | ||||
−0.276838 | + | 0.960917i | \(0.589287\pi\) | |||||||
\(684\) | −7.88355e7 | + | 1.11674e8i | −0.246351 | + | 0.348967i | ||||
\(685\) | −6.25321e8 | −1.94550 | ||||||||
\(686\) | −1.59607e8 | + | 1.90212e8i | −0.494402 | + | 0.589205i | ||||
\(687\) | −1.77102e8 | − | 4.86584e8i | −0.546202 | − | 1.50068i | ||||
\(688\) | −1.79703e7 | − | 1.01914e8i | −0.0551809 | − | 0.312947i | ||||
\(689\) | −1.35804e7 | + | 7.70183e7i | −0.0415198 | + | 0.235470i | ||||
\(690\) | −1.26414e8 | − | 4.60111e7i | −0.384813 | − | 0.140060i | ||||
\(691\) | −1.01508e8 | − | 1.75816e8i | −0.307655 | − | 0.532875i | 0.670194 | − | 0.742186i | \(-0.266211\pi\) |
−0.977849 | + | 0.209312i | \(0.932878\pi\) | |||||||
\(692\) | −2.52766e8 | − | 1.45935e8i | −0.762782 | − | 0.440393i | ||||
\(693\) | −4.02666e7 | + | 3.37877e7i | −0.120989 | + | 0.101522i | ||||
\(694\) | −1.16082e8 | − | 1.38341e8i | −0.347285 | − | 0.413878i | ||||
\(695\) | −3.29043e8 | + | 5.69919e8i | −0.980162 | + | 1.69769i | ||||
\(696\) | −6.90670e7 | + | 3.98759e7i | −0.204853 | + | 0.118272i | ||||
\(697\) | 9.98955e7 | − | 2.74461e8i | 0.295017 | − | 0.810554i | ||||
\(698\) | −4.24230e8 | − | 7.48032e7i | −1.24748 | − | 0.219965i | ||||
\(699\) | 4.45870e8 | − | 7.86189e7i | 1.30550 | − | 0.230195i | ||||
\(700\) | −3.76762e7 | + | 1.37130e7i | −0.109843 | + | 0.0399796i | ||||
\(701\) | −1.51401e8 | − | 1.27041e8i | −0.439516 | − | 0.368798i | 0.396012 | − | 0.918245i | \(-0.370394\pi\) |
−0.835528 | + | 0.549447i | \(0.814838\pi\) | |||||||
\(702\) | 1.24588e7i | 0.0360136i | ||||||||
\(703\) | −5.72646e8 | + | 4.78864e7i | −1.64824 | + | 0.137831i | ||||
\(704\) | 1.01157e7 | 0.0289919 | ||||||||
\(705\) | −7.65386e7 | + | 9.12152e7i | −0.218430 | + | 0.260315i | ||||
\(706\) | −8.79567e7 | − | 2.41659e8i | −0.249951 | − | 0.686735i | ||||
\(707\) | −702106. | − | 3.98184e6i | −0.00198675 | − | 0.0112674i | ||||
\(708\) | −9.11032e6 | + | 5.16672e7i | −0.0256705 | + | 0.145585i | ||||
\(709\) | −1.61477e8 | − | 5.87727e7i | −0.453076 | − | 0.164906i | 0.105395 | − | 0.994430i | \(-0.466389\pi\) |
−0.558471 | + | 0.829524i | \(0.688612\pi\) | |||||||
\(710\) | −5.23507e7 | − | 9.06740e7i | −0.146267 | − | 0.253342i | ||||
\(711\) | 9.02138e7 | + | 5.20850e7i | 0.250995 | + | 0.144912i | ||||
\(712\) | 1.05388e8 | − | 8.84313e7i | 0.291979 | − | 0.245000i | ||||
\(713\) | −1.17719e8 | − | 1.40292e8i | −0.324772 | − | 0.387048i | ||||
\(714\) | −2.74820e8 | + | 4.76003e8i | −0.755013 | + | 1.30772i | ||||
\(715\) | 2.14369e7 | − | 1.23766e7i | 0.0586468 | − | 0.0338597i | ||||
\(716\) | 9.96946e7 | − | 2.73909e8i | 0.271602 | − | 0.746219i | ||||
\(717\) | 5.69188e8 | + | 1.00363e8i | 1.54418 | + | 0.272281i | ||||
\(718\) | −4.12011e8 | + | 7.26487e7i | −1.11310 | + | 0.196270i | ||||
\(719\) | 3.15778e8 | − | 1.14934e8i | 0.849561 | − | 0.309215i | 0.119700 | − | 0.992810i | \(-0.461807\pi\) |
0.729861 | + | 0.683595i | \(0.239585\pi\) | |||||||
\(720\) | 6.94486e7 | + | 5.82743e7i | 0.186065 | + | 0.156127i | ||||
\(721\) | − | 2.28258e8i | − | 0.609004i | ||||||
\(722\) | 1.34831e8 | − | 2.29449e8i | 0.358243 | − | 0.609641i | ||||
\(723\) | 5.05510e6 | 0.0133756 | ||||||||
\(724\) | −1.00104e8 | + | 1.19299e8i | −0.263775 | + | 0.314355i | ||||
\(725\) | −1.87821e7 | − | 5.16035e7i | −0.0492869 | − | 0.135415i | ||||
\(726\) | −6.05401e7 | − | 3.43340e8i | −0.158210 | − | 0.897253i | ||||
\(727\) | 5.32699e7 | − | 3.02108e8i | 0.138637 | − | 0.786248i | −0.833621 | − | 0.552337i | \(-0.813736\pi\) |
0.972258 | − | 0.233911i | \(-0.0751526\pi\) | |||||||
\(728\) | 2.62321e7 | + | 9.54772e6i | 0.0679892 | + | 0.0247460i | ||||
\(729\) | −1.33760e8 | − | 2.31679e8i | −0.345257 | − | 0.598003i | ||||
\(730\) | −3.69339e8 | − | 2.13238e8i | −0.949417 | − | 0.548146i | ||||
\(731\) | 7.48323e8 | − | 6.27917e8i | 1.91574 | − | 1.60750i | ||||
\(732\) | 1.57827e8 | + | 1.88091e8i | 0.402392 | + | 0.479552i | ||||
\(733\) | −3.39782e8 | + | 5.88520e8i | −0.862757 | + | 1.49434i | 0.00650012 | + | 0.999979i | \(0.497931\pi\) |
−0.869257 | + | 0.494360i | \(0.835402\pi\) | |||||||
\(734\) | −4.26519e7 | + | 2.46251e7i | −0.107857 | + | 0.0622715i | ||||
\(735\) | −7.66913e7 | + | 2.10708e8i | −0.193145 | + | 0.530662i | ||||
\(736\) | −2.59565e7 | − | 4.57683e6i | −0.0651048 | − | 0.0114797i | ||||
\(737\) | −1.27617e8 | + | 2.25024e7i | −0.318792 | + | 0.0562116i | ||||
\(738\) | 1.00035e8 | − | 3.64099e7i | 0.248877 | − | 0.0905838i | ||||
\(739\) | −3.11526e7 | − | 2.61401e7i | −0.0771899 | − | 0.0647700i | 0.603376 | − | 0.797457i | \(-0.293822\pi\) |
−0.680566 | + | 0.732687i | \(0.738266\pi\) | |||||||
\(740\) | 3.81108e8i | 0.940488i | ||||||||
\(741\) | 1.18538e7 | + | 1.41752e8i | 0.0291341 | + | 0.348398i | ||||
\(742\) | 2.14431e8 | 0.524899 | ||||||||
\(743\) | 1.01196e8 | − | 1.20600e8i | 0.246715 | − | 0.294023i | −0.628448 | − | 0.777852i | \(-0.716310\pi\) |
0.875163 | + | 0.483828i | \(0.160754\pi\) | |||||||
\(744\) | 9.16204e7 | + | 2.51725e8i | 0.222471 | + | 0.611234i | ||||
\(745\) | 4.30889e7 | + | 2.44369e8i | 0.104207 | + | 0.590987i | ||||
\(746\) | 4.81121e7 | − | 2.72857e8i | 0.115888 | − | 0.657232i | ||||
\(747\) | −3.68859e8 | − | 1.34254e8i | −0.884909 | − | 0.322081i | ||||
\(748\) | 4.77437e7 | + | 8.26945e7i | 0.114080 | + | 0.197593i | ||||
\(749\) | −4.92822e8 | − | 2.84531e8i | −1.17286 | − | 0.677148i | ||||
\(750\) | 2.50092e8 | − | 2.09852e8i | 0.592810 | − | 0.497427i | ||||
\(751\) | 2.72704e8 | + | 3.24996e8i | 0.643830 | + | 0.767287i | 0.984970 | − | 0.172726i | \(-0.0552574\pi\) |
−0.341140 | + | 0.940013i | \(0.610813\pi\) | |||||||
\(752\) | −1.16645e7 | + | 2.02035e7i | −0.0274292 | + | 0.0475088i | ||||
\(753\) | 2.98681e8 | − | 1.72443e8i | 0.699555 | − | 0.403888i | ||||
\(754\) | −1.30771e7 | + | 3.59291e7i | −0.0305069 | + | 0.0838170i | ||||
\(755\) | 9.30104e8 | + | 1.64002e8i | 2.16118 | + | 0.381074i | ||||
\(756\) | 3.36414e7 | − | 5.93189e6i | 0.0778591 | − | 0.0137287i | ||||
\(757\) | 4.75933e8 | − | 1.73226e8i | 1.09713 | − | 0.399323i | 0.270873 | − | 0.962615i | \(-0.412688\pi\) |
0.826258 | + | 0.563292i | \(0.190465\pi\) | |||||||
\(758\) | 1.01814e8 | + | 8.54325e7i | 0.233777 | + | 0.196162i | ||||
\(759\) | − | 5.16442e7i | − | 0.118113i | ||||||
\(760\) | −1.44191e8 | − | 1.01791e8i | −0.328472 | − | 0.231882i | ||||
\(761\) | −4.85628e8 | −1.10192 | −0.550960 | − | 0.834532i | \(-0.685738\pi\) | ||||
−0.550960 | + | 0.834532i | \(0.685738\pi\) | |||||||
\(762\) | −3.26267e8 | + | 3.88830e8i | −0.737408 | + | 0.878809i | ||||
\(763\) | 2.12372e8 | + | 5.83486e8i | 0.478105 | + | 1.31358i | ||||
\(764\) | 3.70546e6 | + | 2.10147e7i | 0.00830925 | + | 0.0471241i | ||||
\(765\) | −1.48604e8 | + | 8.42775e8i | −0.331930 | + | 1.88247i | ||||
\(766\) | 1.77005e8 | + | 6.44245e7i | 0.393821 | + | 0.143339i | ||||
\(767\) | 1.25763e7 | + | 2.17828e7i | 0.0278720 | + | 0.0482756i | ||||
\(768\) | 3.33877e7 | + | 1.92764e7i | 0.0737061 | + | 0.0425542i | ||||
\(769\) | −3.50744e8 | + | 2.94309e8i | −0.771277 | + | 0.647179i | −0.941036 | − | 0.338307i | \(-0.890146\pi\) |
0.169758 | + | 0.985486i | \(0.445701\pi\) | |||||||
\(770\) | −4.36259e7 | − | 5.19913e7i | −0.0955591 | − | 0.113883i | ||||
\(771\) | 5.04322e7 | − | 8.73511e7i | 0.110038 | − | 0.190592i | ||||
\(772\) | 2.89289e8 | − | 1.67021e8i | 0.628753 | − | 0.363011i | ||||
\(773\) | 1.68370e8 | − | 4.62594e8i | 0.364525 | − | 1.00152i | −0.612885 | − | 0.790172i | \(-0.709991\pi\) |
0.977410 | − | 0.211352i | \(-0.0677865\pi\) | |||||||
\(774\) | 3.50639e8 | + | 6.18271e7i | 0.756201 | + | 0.133339i | ||||
\(775\) | −1.81654e8 | + | 3.20305e7i | −0.390248 | + | 0.0688112i | ||||
\(776\) | −6.70082e7 | + | 2.43890e7i | −0.143398 | + | 0.0521926i | ||||
\(777\) | −6.45128e8 | − | 5.41326e8i | −1.37525 | − | 1.15397i | ||||
\(778\) | 2.88384e8i | 0.612396i | ||||||||
\(779\) | −1.88171e8 | + | 8.68682e7i | −0.398053 | + | 0.183759i | ||||
\(780\) | 9.43393e7 | 0.198797 | ||||||||
\(781\) | 2.58363e7 | − | 3.07905e7i | 0.0542347 | − | 0.0646344i | ||||
\(782\) | −8.50936e7 | − | 2.33793e8i | −0.177941 | − | 0.488890i | ||||
\(783\) | 8.12467e6 | + | 4.60773e7i | 0.0169247 | + | 0.0959846i | ||||
\(784\) | −7.62866e6 | + | 4.32643e7i | −0.0158307 | + | 0.0897803i | ||||
\(785\) | −5.65256e7 | − | 2.05736e7i | −0.116852 | − | 0.0425307i | ||||
\(786\) | 3.05277e8 | + | 5.28756e8i | 0.628676 | + | 1.08890i | ||||
\(787\) | −6.39495e8 | − | 3.69212e8i | −1.31194 | − | 0.757447i | −0.329519 | − | 0.944149i | \(-0.606887\pi\) |
−0.982417 | + | 0.186702i | \(0.940220\pi\) | |||||||
\(788\) | −1.38844e8 | + | 1.16504e8i | −0.283758 | + | 0.238101i | ||||
\(789\) | 3.33431e8 | + | 3.97368e8i | 0.678852 | + | 0.809024i | ||||
\(790\) | −6.72509e7 | + | 1.16482e8i | −0.136401 | + | 0.236253i | ||||
\(791\) | 2.27498e8 | − | 1.31346e8i | 0.459672 | − | 0.265392i | ||||
\(792\) | −1.19034e7 | + | 3.27043e7i | −0.0239605 | + | 0.0658309i | ||||
\(793\) | 1.15928e8 | + | 2.04412e7i | 0.232470 | + | 0.0409907i | ||||
\(794\) | 3.14810e8 | − | 5.55096e7i | 0.628909 | − | 0.110894i | ||||
\(795\) | 6.80955e8 | − | 2.47847e8i | 1.35524 | − | 0.493268i | ||||
\(796\) | 1.01748e8 | + | 8.53763e7i | 0.201737 | + | 0.169277i | ||||
\(797\) | 1.94384e8i | 0.383960i | 0.981399 | + | 0.191980i | \(0.0614908\pi\) | ||||
−0.981399 | + | 0.191980i | \(0.938509\pi\) | |||||||
\(798\) | 3.77117e8 | − | 9.94986e7i | 0.742108 | − | 0.195798i | ||||
\(799\) | −2.20215e8 | −0.431725 | ||||||||
\(800\) | −1.70638e7 | + | 2.03359e7i | −0.0333278 | + | 0.0397186i | ||||
\(801\) | 1.61888e8 | + | 4.44783e8i | 0.315005 | + | 0.865468i | ||||
\(802\) | −4.48479e7 | − | 2.54345e8i | −0.0869399 | − | 0.493061i | ||||
\(803\) | 2.84299e7 | − | 1.61234e8i | 0.0549071 | − | 0.311394i | ||||
\(804\) | −4.64093e8 | − | 1.68916e8i | −0.892970 | − | 0.325015i | ||||
\(805\) | 8.84192e7 | + | 1.53146e8i | 0.169496 | + | 0.293575i | ||||
\(806\) | 1.11222e8 | + | 6.42141e7i | 0.212415 | + | 0.122638i | ||||
\(807\) | 5.35491e8 | − | 4.49331e8i | 1.01890 | − | 0.854959i | ||||
\(808\) | −1.72079e6 | − | 2.05076e6i | −0.00326207 | − | 0.00388759i | ||||
\(809\) | 2.29037e8 | − | 3.96704e8i | 0.432574 | − | 0.749239i | −0.564521 | − | 0.825419i | \(-0.690939\pi\) |
0.997094 | + | 0.0761797i | \(0.0242723\pi\) | |||||||
\(810\) | 4.16162e8 | − | 2.40272e8i | 0.783083 | − | 0.452113i | ||||
\(811\) | −4.77496e7 | + | 1.31191e8i | −0.0895173 | + | 0.245947i | −0.976370 | − | 0.216105i | \(-0.930665\pi\) |
0.886853 | + | 0.462052i | \(0.152887\pi\) | |||||||
\(812\) | 1.03242e8 | + | 1.82044e7i | 0.192836 | + | 0.0340023i | ||||
\(813\) | 2.07701e7 | − | 3.66233e6i | 0.0386515 | − | 0.00681531i | ||||
\(814\) | −1.37482e8 | + | 5.00392e7i | −0.254901 | + | 0.0927764i | ||||
\(815\) | 6.68414e8 | + | 5.60866e8i | 1.23473 | + | 1.03606i | ||||
\(816\) | 3.63921e8i | 0.669787i | ||||||||
\(817\) | −6.90304e8 | − | 6.30640e7i | −1.26583 | − | 0.115642i | ||||
\(818\) | 2.14998e7 | 0.0392803 | ||||||||
\(819\) | −6.17362e7 | + | 7.35743e7i | −0.112380 | + | 0.133929i | ||||
\(820\) | 4.70116e7 | + | 1.29163e8i | 0.0852636 | + | 0.234260i | ||||
\(821\) | 1.21058e8 | + | 6.86554e8i | 0.218758 | + | 1.24064i | 0.874265 | + | 0.485449i | \(0.161344\pi\) |
−0.655507 | + | 0.755189i | \(0.727545\pi\) | |||||||
\(822\) | 1.58871e8 | − | 9.01002e8i | 0.286041 | − | 1.62222i | ||||
\(823\) | 4.74375e6 | + | 1.72658e6i | 0.00850986 | + | 0.00309733i | 0.346272 | − | 0.938134i | \(-0.387448\pi\) |
−0.337762 | + | 0.941232i | \(0.609670\pi\) | |||||||
\(824\) | −7.55655e7 | − | 1.30883e8i | −0.135065 | − | 0.233939i | ||||
\(825\) | −4.50471e7 | − | 2.60080e7i | −0.0802241 | − | 0.0463174i | ||||
\(826\) | 5.28303e7 | − | 4.43299e7i | 0.0937438 | − | 0.0786604i | ||||
\(827\) | −6.28587e8 | − | 7.49121e8i | −1.11135 | − | 1.32445i | −0.940747 | − | 0.339109i | \(-0.889874\pi\) |
−0.170598 | − | 0.985341i | \(-0.554570\pi\) | |||||||
\(828\) | 4.53408e7 | − | 7.85326e7i | 0.0798726 | − | 0.138343i | ||||
\(829\) | 4.13903e8 | − | 2.38967e8i | 0.726500 | − | 0.419445i | −0.0906406 | − | 0.995884i | \(-0.528891\pi\) |
0.817140 | + | 0.576439i | \(0.195558\pi\) | |||||||
\(830\) | 1.73345e8 | − | 4.76262e8i | 0.303164 | − | 0.832936i | ||||
\(831\) | 5.60298e8 | + | 9.87957e7i | 0.976374 | + | 0.172161i | ||||
\(832\) | 1.82024e7 | − | 3.20957e6i | 0.0316051 | − | 0.00557284i | ||||
\(833\) | −3.89686e8 | + | 1.41834e8i | −0.674186 | + | 0.245383i | ||||
\(834\) | −7.37578e8 | − | 6.18901e8i | −1.27148 | − | 1.06690i | ||||
\(835\) | 1.42896e7i | 0.0245449i | ||||||||
\(836\) | 1.77879e7 | − | 6.53807e7i | 0.0304443 | − | 0.111900i | ||||
\(837\) | 1.57158e8 | 0.268015 | ||||||||
\(838\) | −9.40267e7 | + | 1.12057e8i | −0.159779 | + | 0.190417i | ||||
\(839\) | −1.81053e8 | − | 4.97438e8i | −0.306562 | − | 0.842273i | −0.993321 | − | 0.115387i | \(-0.963189\pi\) |
0.686758 | − | 0.726886i | \(-0.259033\pi\) | |||||||
\(840\) | −4.49167e7 | − | 2.54736e8i | −0.0757828 | − | 0.429785i | ||||
\(841\) | 7.83562e7 | − | 4.44380e8i | 0.131730 | − | 0.747079i | ||||
\(842\) | 3.76421e8 | + | 1.37006e8i | 0.630576 | + | 0.229511i | ||||
\(843\) | −3.59920e8 | − | 6.23399e8i | −0.600790 | − | 1.04060i | ||||
\(844\) | −1.31923e8 | − | 7.61660e7i | −0.219429 | − | 0.126688i | ||||
\(845\) | −4.90976e8 | + | 4.11977e8i | −0.813748 | + | 0.682815i | ||||
\(846\) | −5.15927e7 | − | 6.14858e7i | −0.0852074 | − | 0.101546i | ||||
\(847\) | −2.29144e8 | + | 3.96889e8i | −0.377102 | + | 0.653159i | ||||
\(848\) | 1.22955e8 | − | 7.09882e7i | 0.201632 | − | 0.116412i | ||||
\(849\) | −1.42487e8 | + | 3.91481e8i | −0.232838 | + | 0.639717i | ||||
\(850\) | −2.46781e8 | − | 4.35141e7i | −0.401842 | − | 0.0708555i | ||||
\(851\) | 3.75413e8 | − | 6.61955e7i | 0.609146 | − | 0.107409i | ||||
\(852\) | 1.43949e8 | − | 5.23933e7i | 0.232751 | − | 0.0847143i | ||||
\(853\) | −4.96225e8 | − | 4.16382e8i | −0.799524 | − | 0.670881i | 0.148559 | − | 0.988904i | \(-0.452537\pi\) |
−0.948083 | + | 0.318023i | \(0.896981\pi\) | |||||||
\(854\) | − | 3.22761e8i | − | 0.518211i | ||||||
\(855\) | 4.98766e8 | − | 3.46395e8i | 0.797992 | − | 0.554208i | ||||
\(856\) | −3.76780e8 | −0.600712 | ||||||||
\(857\) | −5.10140e8 | + | 6.07962e8i | −0.810489 | + | 0.965903i | −0.999872 | − | 0.0159999i | \(-0.994907\pi\) |
0.189383 | + | 0.981903i | \(0.439351\pi\) | |||||||
\(858\) | 1.23867e7 | + | 3.40321e7i | 0.0196107 | + | 0.0538799i | ||||
\(859\) | 1.83245e7 | + | 1.03923e8i | 0.0289103 | + | 0.163958i | 0.995845 | − | 0.0910663i | \(-0.0290275\pi\) |
−0.966935 | + | 0.255025i | \(0.917916\pi\) | |||||||
\(860\) | −7.98297e7 | + | 4.52737e8i | −0.125507 | + | 0.711787i | ||||
\(861\) | −2.85419e8 | − | 1.03884e8i | −0.447170 | − | 0.162757i | ||||
\(862\) | 1.05871e8 | + | 1.83374e8i | 0.165293 | + | 0.286296i | ||||
\(863\) | 4.45885e8 | + | 2.57432e8i | 0.693730 | + | 0.400525i | 0.805008 | − | 0.593264i | \(-0.202161\pi\) |
−0.111278 | + | 0.993789i | \(0.535494\pi\) | |||||||
\(864\) | 1.73263e7 | − | 1.45385e7i | 0.0268636 | − | 0.0225412i | ||||
\(865\) | 8.33424e8 | + | 9.93236e8i | 1.28771 | + | 1.53463i | ||||
\(866\) | 3.76651e7 | − | 6.52378e7i | 0.0579943 | − | 0.100449i | ||||
\(867\) | −2.20644e9 | + | 1.27389e9i | −3.38560 | + | 1.95468i | ||||
\(868\) | 1.20436e8 | − | 3.30896e8i | 0.184161 | − | 0.505979i | ||||
\(869\) | −5.08499e7 | − | 8.96620e6i | −0.0774873 | − | 0.0136631i | ||||
\(870\) | 3.48901e8 | − | 6.15206e7i | 0.529839 | − | 0.0934249i | ||||
\(871\) | −2.22498e8 | + | 8.09825e7i | −0.336721 | + | 0.122557i | ||||
\(872\) | 3.14940e8 | + | 2.64266e8i | 0.474983 | + | 0.398558i | ||||
\(873\) | − | 2.45339e8i | − | 0.368743i | ||||||
\(874\) | −7.52246e7 | + | 1.59717e8i | −0.112675 | + | 0.239230i | ||||
\(875\) | −4.29152e8 | −0.640600 | ||||||||
\(876\) | 4.01083e8 | − | 4.77992e8i | 0.596653 | − | 0.711063i | ||||
\(877\) | −1.33426e8 | − | 3.66584e8i | −0.197806 | − | 0.543469i | 0.800643 | − | 0.599142i | \(-0.204492\pi\) |
−0.998449 | + | 0.0556735i | \(0.982269\pi\) | |||||||
\(878\) | 7.38878e7 | + | 4.19039e8i | 0.109166 | + | 0.619114i | ||||
\(879\) | −1.58927e8 | + | 9.01319e8i | −0.234008 | + | 1.32713i | ||||
\(880\) | −4.22271e7 | − | 1.53694e7i | −0.0619645 | − | 0.0225532i | ||||
\(881\) | −1.64461e8 | − | 2.84854e8i | −0.240511 | − | 0.416577i | 0.720349 | − | 0.693612i | \(-0.243982\pi\) |
−0.960860 | + | 0.277035i | \(0.910648\pi\) | |||||||
\(882\) | −1.30898e8 | − | 7.55740e7i | −0.190778 | − | 0.110145i | ||||
\(883\) | 2.28387e8 | − | 1.91640e8i | 0.331734 | − | 0.278358i | −0.461672 | − | 0.887051i | \(-0.652750\pi\) |
0.793406 | + | 0.608693i | \(0.208306\pi\) | |||||||
\(884\) | 1.12149e8 | + | 1.33654e8i | 0.162345 | + | 0.193475i | ||||
\(885\) | 1.16532e8 | − | 2.01839e8i | 0.168118 | − | 0.291189i | ||||
\(886\) | 4.27341e8 | − | 2.46725e8i | 0.614431 | − | 0.354742i | ||||
\(887\) | −2.49617e8 | + | 6.85818e8i | −0.357688 | + | 0.982738i | 0.622142 | + | 0.782904i | \(0.286263\pi\) |
−0.979830 | + | 0.199834i | \(0.935960\pi\) | |||||||
\(888\) | −5.49125e8 | − | 9.68256e7i | −0.784210 | − | 0.138277i | ||||
\(889\) | 6.57086e8 | − | 1.15862e8i | 0.935227 | − | 0.164906i | ||||
\(890\) | −5.74294e8 | + | 2.09026e8i | −0.814637 | + | 0.296504i | ||||
\(891\) | 1.41318e8 | + | 1.18580e8i | 0.199785 | + | 0.167640i | ||||
\(892\) | 3.76142e8i | 0.529977i | ||||||||
\(893\) | 1.10070e8 | + | 1.10918e8i | 0.154566 | + | 0.155757i | ||||
\(894\) | −3.63050e8 | −0.508106 | ||||||||
\(895\) | −8.32333e8 | + | 9.91936e8i | −1.16099 | + | 1.38361i | ||||
\(896\) | −1.73330e7 | − | 4.76220e7i | −0.0240962 | − | 0.0662039i | ||||
\(897\) | −1.63860e7 | − | 9.29296e7i | −0.0227036 | − | 0.128759i | ||||
\(898\) | −4.66729e7 | + | 2.64695e8i | −0.0644520 | + | 0.365525i | ||||
\(899\) | 4.53215e8 | + | 1.64957e8i | 0.623771 | + | 0.227034i | ||||
\(900\) | −4.56671e7 | − | 7.90978e7i | −0.0626436 | − | 0.108502i | ||||
\(901\) | 1.16064e9 | + | 6.70096e8i | 1.58680 | + | 0.916141i | ||||
\(902\) | −4.04220e7 | + | 3.39181e7i | −0.0550805 | + | 0.0462181i | ||||
\(903\) | −6.52988e8 | − | 7.78200e8i | −0.886833 | − | 1.05689i | ||||
\(904\) | 8.69651e7 | − | 1.50628e8i | 0.117717 | − | 0.203892i | ||||
\(905\) | 5.99133e8 | − | 3.45909e8i | 0.808309 | − | 0.466677i | ||||
\(906\) | −4.72610e8 | + | 1.29849e9i | −0.635504 | + | 1.74603i | ||||
\(907\) | −1.36774e9 | − | 2.41169e8i | −1.83308 | − | 0.323221i | −0.853012 | − | 0.521890i | \(-0.825227\pi\) |
−0.980067 | + | 0.198669i | \(0.936338\pi\) | |||||||
\(908\) | −9.59857e7 | + | 1.69249e7i | −0.128218 | + | 0.0226083i | ||||
\(909\) | 8.65507e6 | − | 3.15019e6i | 0.0115234 | − | 0.00419416i | ||||
\(910\) | −9.49975e7 | − | 7.97123e7i | −0.126063 | − | 0.105779i | ||||
\(911\) | − | 1.53396e8i | − | 0.202889i | −0.994841 | − | 0.101444i | \(-0.967654\pi\) | ||
0.994841 | − | 0.101444i | \(-0.0323464\pi\) | |||||||
\(912\) | 1.83300e8 | − | 1.81899e8i | 0.241645 | − | 0.239797i | ||||
\(913\) | 1.94568e8 | 0.255657 | ||||||||
\(914\) | −1.88796e8 | + | 2.24998e8i | −0.247260 | + | 0.294673i | ||||
\(915\) | −3.73058e8 | − | 1.02497e9i | −0.486983 | − | 1.33797i | ||||
\(916\) | 7.82593e7 | + | 4.43830e8i | 0.101824 | + | 0.577472i | ||||
\(917\) | 1.39367e8 | − | 7.90390e8i | 0.180739 | − | 1.02502i | ||||
\(918\) | 2.00626e8 | + | 7.30220e7i | 0.259334 | + | 0.0943899i | ||||
\(919\) | −4.84684e8 | − | 8.39498e8i | −0.624471 | − | 1.08162i | −0.988643 | − | 0.150284i | \(-0.951981\pi\) |
0.364171 | − | 0.931332i | \(-0.381352\pi\) | |||||||
\(920\) | 1.01399e8 | + | 5.85430e7i | 0.130218 | + | 0.0751815i | ||||
\(921\) | 3.27536e8 | − | 2.74836e8i | 0.419257 | − | 0.351799i | ||||
\(922\) | −2.02708e8 | − | 2.41578e8i | −0.258630 | − | 0.308223i | ||||
\(923\) | 3.67209e7 | − | 6.36025e7i | 0.0466991 | − | 0.0808852i | ||||
\(924\) | 8.59961e7 | − | 4.96499e7i | 0.109009 | − | 0.0629365i | ||||
\(925\) | 1.31318e8 | − | 3.60794e8i | 0.165920 | − | 0.455862i | ||||
\(926\) | −2.23765e7 | − | 3.94557e6i | −0.0281811 | − | 0.00496909i | ||||
\(927\) | 5.12070e8 | − | 9.02918e7i | 0.642822 | − | 0.113347i | ||||
\(928\) | 6.52258e7 | − | 2.37403e7i | 0.0816161 | − | 0.0297058i | ||||
\(929\) | −1.73480e8 | − | 1.45567e8i | −0.216373 | − | 0.181559i | 0.528159 | − | 0.849146i | \(-0.322883\pi\) |
−0.744532 | + | 0.667587i | \(0.767327\pi\) | |||||||
\(930\) | − | 1.19001e9i | − | 1.47946i | ||||||
\(931\) | 2.66216e8 | + | 1.25384e8i | 0.329902 | + | 0.155380i | ||||
\(932\) | −3.94049e8 | −0.486747 | ||||||||
\(933\) | 7.03731e8 | − | 8.38674e8i | 0.866487 | − | 1.03264i | ||||
\(934\) | −1.10952e8 | − | 3.04837e8i | −0.136174 | − | 0.374134i | ||||
\(935\) | −7.36590e7 | − | 4.17741e8i | −0.0901138 | − | 0.511061i | ||||
\(936\) | −1.10426e7 | + | 6.26256e7i | −0.0134661 | + | 0.0763703i | ||||
\(937\) | 8.14968e8 | + | 2.96624e8i | 0.990653 | + | 0.360568i | 0.785973 | − | 0.618261i | \(-0.212162\pi\) |
0.204680 | + | 0.978829i | \(0.434385\pi\) | |||||||
\(938\) | 3.24605e8 | + | 5.62232e8i | 0.393320 | + | 0.681251i | ||||
\(939\) | −4.89193e8 | − | 2.82435e8i | −0.590858 | − | 0.341132i | ||||
\(940\) | 7.93890e7 | − | 6.66153e7i | 0.0955822 | − | 0.0802030i | ||||
\(941\) | 3.88433e8 | + | 4.62916e8i | 0.466173 | + | 0.555563i | 0.946992 | − | 0.321257i | \(-0.104105\pi\) |
−0.480819 | + | 0.876820i | \(0.659661\pi\) | |||||||
\(942\) | 4.40049e7 | − | 7.62187e7i | 0.0526439 | − | 0.0911819i | ||||
\(943\) | 1.19068e8 | − | 6.87438e7i | 0.141990 | − | 0.0819782i | ||||
\(944\) | 1.56174e7 | − | 4.29085e7i | 0.0185649 | − | 0.0510067i | ||||
\(945\) | −1.49446e8 | − | 2.63514e7i | −0.177088 | − | 0.0312254i | ||||
\(946\) | −1.73802e8 | + | 3.06461e7i | −0.205297 | + | 0.0361994i | ||||
\(947\) | −9.79248e8 | + | 3.56417e8i | −1.15304 | + | 0.419671i | −0.846605 | − | 0.532222i | \(-0.821357\pi\) |
−0.306431 | + | 0.951893i | \(0.599135\pi\) | |||||||
\(948\) | −1.50749e8 | − | 1.26493e8i | −0.176941 | − | 0.148471i | ||||
\(949\) | − | 2.99148e8i | − | 0.350016i | ||||||
\(950\) | 1.01431e8 | + | 1.46048e8i | 0.118304 | + | 0.170344i | ||||
\(951\) | 1.82080e9 | 2.11700 | ||||||||
\(952\) | 3.07496e8 | − | 3.66460e8i | 0.356393 | − | 0.424733i | ||||
\(953\) | −3.12186e8 | − | 8.57724e8i | −0.360691 | − | 0.990989i | −0.978786 | − | 0.204886i | \(-0.934318\pi\) |
0.618095 | − | 0.786103i | \(-0.287905\pi\) | |||||||
\(954\) | 8.48224e7 | + | 4.81052e8i | 0.0976935 | + | 0.554047i | ||||
\(955\) | 1.64608e7 | − | 9.33540e7i | 0.0188991 | − | 0.107182i | ||||
\(956\) | −4.72698e8 | − | 1.72048e8i | −0.541016 | − | 0.196914i | ||||
\(957\) | 6.80034e7 | + | 1.17785e8i | 0.0775880 | + | 0.134386i | ||||
\(958\) | 7.08267e8 | + | 4.08918e8i | 0.805565 | + | 0.465093i | ||||
\(959\) | −9.21284e8 | + | 7.73049e8i | −1.04457 | + | 0.876499i | ||||
\(960\) | −1.10086e8 | − | 1.31196e8i | −0.124429 | − | 0.148288i | ||||
\(961\) | 3.66255e8 | − | 6.34372e8i | 0.412680 | − | 0.714782i | ||||
\(962\) | −2.31510e8 | + | 1.33663e8i | −0.260043 | + | 0.150136i | ||||
\(963\) | 4.43367e8 | − | 1.21814e9i | 0.496461 | − | 1.36401i | ||||
\(964\) | −4.33286e6 | − | 764000.i | −0.00483663 | − | 0.000852829i | ||||
\(965\) | −1.46138e9 | + | 2.57681e8i | −1.62623 | + | 0.286748i | ||||
\(966\) | −2.43127e8 | + | 8.84911e7i | −0.269713 | + | 0.0981676i | ||||
\(967\) | 5.19251e8 | + | 4.35703e8i | 0.574245 | + | 0.481849i | 0.883052 | − | 0.469276i | \(-0.155485\pi\) |
−0.308806 | + | 0.951125i | \(0.599929\pi\) | |||||||
\(968\) | 3.03436e8i | 0.334534i | ||||||||
\(969\) | 2.35213e9 | + | 6.39936e8i | 2.58518 | + | 0.703340i | ||||
\(970\) | 3.16776e8 | 0.347086 | ||||||||
\(971\) | 6.21367e8 | − | 7.40516e8i | 0.678719 | − | 0.808866i | −0.311223 | − | 0.950337i | \(-0.600739\pi\) |
0.989942 | + | 0.141471i | \(0.0451831\pi\) | |||||||
\(972\) | 2.09314e8 | + | 5.75084e8i | 0.227928 | + | 0.626228i | ||||
\(973\) | 2.19781e8 | + | 1.24644e9i | 0.238589 | + | 1.35311i | ||||
\(974\) | −2.03261e6 | + | 1.15275e7i | −0.00219977 | + | 0.0124755i | ||||
\(975\) | −8.93106e7 | − | 3.25064e7i | −0.0963583 | − | 0.0350716i | ||||
\(976\) | −1.06851e8 | − | 1.85071e8i | −0.114929 | − | 0.199063i | ||||
\(977\) | 6.68630e7 | + | 3.86034e7i | 0.0716972 | + | 0.0413944i | 0.535420 | − | 0.844586i | \(-0.320153\pi\) |
−0.463723 | + | 0.885980i | \(0.653487\pi\) | |||||||
\(978\) | −9.77951e8 | + | 8.20598e8i | −1.04544 | + | 0.877231i | ||||
\(979\) | −1.50809e8 | − | 1.79727e8i | −0.160723 | − | 0.191542i | ||||
\(980\) | 9.75793e7 | − | 1.69012e8i | 0.103676 | − | 0.179573i | ||||
\(981\) | −1.22498e9 | + | 7.07241e8i | −1.29754 | + | 0.749136i | ||||
\(982\) | −4.25936e8 | + | 1.17025e9i | −0.449790 | + | 1.23579i | ||||
\(983\) | −1.04399e8 | − | 1.84084e7i | −0.109910 | − | 0.0193801i | 0.118423 | − | 0.992963i | \(-0.462216\pi\) |
−0.228333 | + | 0.973583i | \(0.573327\pi\) | |||||||
\(984\) | −1.98051e8 | + | 3.49217e7i | −0.207870 | + | 0.0366530i | ||||
\(985\) | 7.56603e8 | − | 2.75381e8i | 0.791698 | − | 0.288155i | ||||
\(986\) | 5.01925e8 | + | 4.21165e8i | 0.523610 | + | 0.439361i | ||||
\(987\) | 2.29008e8i | 0.238176i | ||||||||
\(988\) | 1.12635e7 | − | 1.23291e8i | 0.0116789 | − | 0.127838i | ||||
\(989\) | 4.59837e8 | 0.475352 | ||||||||
\(990\) | 9.93795e7 | − | 1.18436e8i | 0.102422 | − | 0.122061i | ||||
\(991\) | 5.00484e8 | + | 1.37507e9i | 0.514244 | + | 1.41287i | 0.876774 | + | 0.480903i | \(0.159691\pi\) |
−0.362530 | + | 0.931972i | \(0.618087\pi\) | |||||||
\(992\) | −4.04860e7 | − | 2.29607e8i | −0.0414734 | − | 0.235207i | ||||
\(993\) | 6.12454e7 | − | 3.47340e8i | 0.0625498 | − | 0.354738i | ||||
\(994\) | −1.89223e8 | − | 6.88717e7i | −0.192671 | − | 0.0701264i | ||||
\(995\) | −2.95019e8 | − | 5.10988e8i | −0.299489 | − | 0.518730i | ||||
\(996\) | 6.42188e8 | + | 3.70768e8i | 0.649957 | + | 0.375253i | ||||
\(997\) | −1.23269e9 | + | 1.03435e9i | −1.24385 | + | 1.04371i | −0.246635 | + | 0.969109i | \(0.579325\pi\) |
−0.997213 | + | 0.0746037i | \(0.976231\pi\) | |||||||
\(998\) | 4.01290e8 | + | 4.78239e8i | 0.403707 | + | 0.481119i | ||||
\(999\) | −1.63563e8 | + | 2.83299e8i | −0.164055 | + | 0.284151i |
(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 | 38.7.f.a.3.5 | ✓ | 60 | |
19.13 | odd | 18 | inner | 38.7.f.a.13.5 | yes | 60 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
38.7.f.a.3.5 | ✓ | 60 | 1.1 | even | 1 | trivial | |
38.7.f.a.13.5 | yes | 60 | 19.13 | odd | 18 | inner |