Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,8,Mod(9,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 8, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.9");
S:= CuspForms(chi, 8);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 8 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.g (of order \(21\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(13.4325560958\) |
Analytic rank: | \(0\) |
Dimension: | \(300\) |
Relative dimension: | \(25\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 9.12 | ||
Character | \(\chi\) | \(=\) | 43.9 |
Dual form | 43.8.g.a.24.12 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{1}{21}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.23932 | − | 1.55406i | −0.109542 | − | 0.137361i | 0.724038 | − | 0.689760i | \(-0.242284\pi\) |
−0.833580 | + | 0.552399i | \(0.813712\pi\) | |||||||
\(3\) | 45.7182 | + | 6.89092i | 0.977609 | + | 0.147351i | 0.618363 | − | 0.785892i | \(-0.287796\pi\) |
0.359245 | + | 0.933243i | \(0.383034\pi\) | |||||||
\(4\) | 27.6035 | − | 120.939i | 0.215652 | − | 0.944834i | ||||
\(5\) | 82.5181 | + | 56.2599i | 0.295226 | + | 0.201282i | 0.701870 | − | 0.712305i | \(-0.252349\pi\) |
−0.406644 | + | 0.913587i | \(0.633301\pi\) | |||||||
\(6\) | −45.9507 | − | 79.5890i | −0.0868486 | − | 0.150426i | ||||
\(7\) | 577.502 | − | 1000.26i | 0.636371 | − | 1.10223i | −0.349851 | − | 0.936805i | \(-0.613768\pi\) |
0.986223 | − | 0.165422i | \(-0.0528987\pi\) | |||||||
\(8\) | −451.388 | + | 217.377i | −0.311698 | + | 0.150106i | ||||
\(9\) | −47.1653 | − | 14.5486i | −0.0215662 | − | 0.00665229i | ||||
\(10\) | −14.8352 | − | 197.962i | −0.00469131 | − | 0.0626012i | ||||
\(11\) | −55.8335 | − | 244.623i | −0.0126480 | − | 0.0554143i | 0.968210 | − | 0.250138i | \(-0.0804761\pi\) |
−0.980858 | + | 0.194724i | \(0.937619\pi\) | |||||||
\(12\) | 2095.36 | − | 5338.90i | 0.350046 | − | 0.891902i | ||||
\(13\) | −226.493 | + | 3022.34i | −0.0285926 | + | 0.381541i | 0.964490 | + | 0.264121i | \(0.0850817\pi\) |
−0.993082 | + | 0.117421i | \(0.962537\pi\) | |||||||
\(14\) | −2270.18 | + | 342.175i | −0.221112 | + | 0.0333273i | ||||
\(15\) | 3384.90 | + | 3140.73i | 0.258956 | + | 0.240276i | ||||
\(16\) | −13408.6 | − | 6457.24i | −0.818396 | − | 0.394119i | ||||
\(17\) | 7974.55 | − | 5436.95i | 0.393672 | − | 0.268401i | −0.350265 | − | 0.936651i | \(-0.613908\pi\) |
0.743937 | + | 0.668249i | \(0.232956\pi\) | |||||||
\(18\) | 35.8436 | + | 91.3280i | 0.00144863 | + | 0.00369105i | ||||
\(19\) | 7826.69 | − | 2414.21i | 0.261782 | − | 0.0807492i | −0.161086 | − | 0.986940i | \(-0.551500\pi\) |
0.422868 | + | 0.906191i | \(0.361023\pi\) | |||||||
\(20\) | 9081.79 | − | 8426.67i | 0.253844 | − | 0.235533i | ||||
\(21\) | 33295.1 | − | 41750.8i | 0.784536 | − | 0.983778i | ||||
\(22\) | −310.963 | + | 389.935i | −0.00622628 | + | 0.00780751i | ||||
\(23\) | 58069.7 | − | 53880.8i | 0.995181 | − | 0.923393i | −0.00188093 | − | 0.999998i | \(-0.500599\pi\) |
0.997061 | + | 0.0766056i | \(0.0244082\pi\) | |||||||
\(24\) | −22134.6 | + | 6827.61i | −0.326837 | + | 0.100816i | ||||
\(25\) | −24898.2 | − | 63439.6i | −0.318697 | − | 0.812027i | ||||
\(26\) | 4977.60 | − | 3393.67i | 0.0555409 | − | 0.0378672i | ||||
\(27\) | −93157.7 | − | 44862.4i | −0.910847 | − | 0.438641i | ||||
\(28\) | −105030. | − | 97453.2i | −0.904188 | − | 0.838964i | ||||
\(29\) | 96328.3 | − | 14519.1i | 0.733433 | − | 0.110547i | 0.228303 | − | 0.973590i | \(-0.426682\pi\) |
0.505131 | + | 0.863043i | \(0.331444\pi\) | |||||||
\(30\) | 685.901 | − | 9152.71i | 0.00463807 | − | 0.0618907i | ||||
\(31\) | 2954.01 | − | 7526.70i | 0.0178093 | − | 0.0453773i | −0.921693 | − | 0.387921i | \(-0.873193\pi\) |
0.939502 | + | 0.342544i | \(0.111289\pi\) | |||||||
\(32\) | 20852.5 | + | 91360.8i | 0.112495 | + | 0.492873i | ||||
\(33\) | −866.936 | − | 11568.5i | −0.00419941 | − | 0.0560372i | ||||
\(34\) | −18332.4 | − | 5654.79i | −0.0799913 | − | 0.0246741i | ||||
\(35\) | 103929. | − | 50049.6i | 0.409731 | − | 0.197316i | ||||
\(36\) | −3061.41 | + | 5302.52i | −0.0109361 | + | 0.0189419i | ||||
\(37\) | 204571. | + | 354327.i | 0.663953 | + | 1.15000i | 0.979568 | + | 0.201113i | \(0.0644558\pi\) |
−0.315615 | + | 0.948887i | \(0.602211\pi\) | |||||||
\(38\) | −13451.6 | − | 9171.16i | −0.0397679 | − | 0.0271133i | ||||
\(39\) | −31181.6 | + | 136615.i | −0.0841728 | + | 0.368785i | ||||
\(40\) | −49477.2 | − | 7457.49i | −0.122235 | − | 0.0184240i | ||||
\(41\) | 421073. | + | 528009.i | 0.954144 | + | 1.19646i | 0.980443 | + | 0.196805i | \(0.0630565\pi\) |
−0.0262987 | + | 0.999654i | \(0.508372\pi\) | |||||||
\(42\) | −106147. | −0.221072 | ||||||||
\(43\) | −494963. | + | 163799.i | −0.949365 | + | 0.314175i | ||||
\(44\) | −31125.6 | −0.0550849 | ||||||||
\(45\) | −3073.49 | − | 3854.03i | −0.00502791 | − | 0.00630480i | ||||
\(46\) | −155701. | − | 23468.2i | −0.235852 | − | 0.0355489i | ||||
\(47\) | −174477. | + | 764433.i | −0.245129 | + | 1.07398i | 0.691146 | + | 0.722715i | \(0.257106\pi\) |
−0.936275 | + | 0.351267i | \(0.885751\pi\) | |||||||
\(48\) | −568521. | − | 387611.i | −0.741997 | − | 0.505885i | ||||
\(49\) | −255247. | − | 442100.i | −0.309937 | − | 0.536827i | ||||
\(50\) | −67732.1 | + | 117315.i | −0.0766301 | + | 0.132727i | ||||
\(51\) | 402048. | − | 193616.i | 0.424407 | − | 0.204383i | ||||
\(52\) | 359266. | + | 110819.i | 0.354327 | + | 0.109296i | ||||
\(53\) | −14242.0 | − | 190046.i | −0.0131403 | − | 0.175345i | −0.999912 | − | 0.0132319i | \(-0.995788\pi\) |
0.986772 | − | 0.162113i | \(-0.0518310\pi\) | |||||||
\(54\) | 45733.5 | + | 200372.i | 0.0395236 | + | 0.173164i | ||||
\(55\) | 9155.16 | − | 23327.0i | 0.00741988 | − | 0.0189055i | ||||
\(56\) | −43243.3 | + | 577042.i | −0.0329049 | + | 0.439086i | ||||
\(57\) | 374459. | − | 56440.6i | 0.267819 | − | 0.0403673i | ||||
\(58\) | −141945. | − | 131706.i | −0.0955264 | − | 0.0886355i | ||||
\(59\) | −934919. | − | 450233.i | −0.592641 | − | 0.285401i | 0.113425 | − | 0.993547i | \(-0.463818\pi\) |
−0.706067 | + | 0.708146i | \(0.749532\pi\) | |||||||
\(60\) | 473271. | − | 322671.i | 0.282866 | − | 0.192855i | ||||
\(61\) | 849829. | + | 2.16533e6i | 0.479377 | + | 1.22143i | 0.942221 | + | 0.334993i | \(0.108734\pi\) |
−0.462844 | + | 0.886440i | \(0.653171\pi\) | |||||||
\(62\) | −15357.9 | + | 4737.29i | −0.00818393 | + | 0.00252441i | ||||
\(63\) | −41790.5 | + | 38775.9i | −0.0210564 | + | 0.0195375i | ||||
\(64\) | −1.07158e6 | + | 1.34372e6i | −0.510969 | + | 0.640735i | ||||
\(65\) | −188726. | + | 236655.i | −0.0852385 | + | 0.106886i | ||||
\(66\) | −16903.7 | + | 15684.3i | −0.00723731 | + | 0.00671524i | ||||
\(67\) | 241804. | − | 74586.8i | 0.0982205 | − | 0.0302970i | −0.245255 | − | 0.969459i | \(-0.578872\pi\) |
0.343476 | + | 0.939161i | \(0.388396\pi\) | |||||||
\(68\) | −437413. | − | 1.11451e6i | −0.168698 | − | 0.429836i | ||||
\(69\) | 3.02613e6 | − | 2.06318e6i | 1.10896 | − | 0.756076i | ||||
\(70\) | −206582. | − | 99484.6i | −0.0719862 | − | 0.0346667i | ||||
\(71\) | 580322. | + | 538461.i | 0.192427 | + | 0.178546i | 0.770502 | − | 0.637438i | \(-0.220006\pi\) |
−0.578075 | + | 0.815983i | \(0.696196\pi\) | |||||||
\(72\) | 24452.3 | − | 3685.60i | 0.00772070 | − | 0.00116371i | ||||
\(73\) | 183380. | − | 2.44704e6i | 0.0551725 | − | 0.736225i | −0.899187 | − | 0.437565i | \(-0.855841\pi\) |
0.954359 | − | 0.298661i | \(-0.0965399\pi\) | |||||||
\(74\) | 297116. | − | 757040.i | 0.0852345 | − | 0.217174i | ||||
\(75\) | −701145. | − | 3.07192e6i | −0.191908 | − | 0.840805i | ||||
\(76\) | −75928.2 | − | 1.01319e6i | −0.0198406 | − | 0.264755i | ||||
\(77\) | −276931. | − | 85421.9i | −0.0691280 | − | 0.0213232i | ||||
\(78\) | 250952. | − | 120852.i | 0.0598770 | − | 0.0288353i | ||||
\(79\) | −1.19339e6 | + | 2.06702e6i | −0.272326 | + | 0.471682i | −0.969457 | − | 0.245262i | \(-0.921126\pi\) |
0.697131 | + | 0.716944i | \(0.254460\pi\) | |||||||
\(80\) | −743168. | − | 1.28721e6i | −0.162283 | − | 0.281082i | ||||
\(81\) | −3.86067e6 | − | 2.63216e6i | −0.807171 | − | 0.550320i | ||||
\(82\) | 298713. | − | 1.30875e6i | 0.0598281 | − | 0.262124i | ||||
\(83\) | 3.42392e6 | + | 516072.i | 0.657279 | + | 0.0990689i | 0.469209 | − | 0.883087i | \(-0.344539\pi\) |
0.188069 | + | 0.982156i | \(0.439777\pi\) | |||||||
\(84\) | −4.13023e6 | − | 5.17914e6i | −0.760320 | − | 0.953411i | ||||
\(85\) | 963927. | 0.170246 | ||||||||
\(86\) | 867972. | + | 566203.i | 0.147150 | + | 0.0959904i | ||||
\(87\) | 4.50401e6 | 0.733300 | ||||||||
\(88\) | 78377.8 | + | 98282.7i | 0.0122604 | + | 0.0153740i | ||||
\(89\) | 7.37821e6 | + | 1.11209e6i | 1.10939 | + | 0.167214i | 0.678080 | − | 0.734988i | \(-0.262812\pi\) |
0.431314 | + | 0.902202i | \(0.358050\pi\) | |||||||
\(90\) | −2180.36 | + | 9552.78i | −0.000315267 | + | 0.00138128i | ||||
\(91\) | 2.89234e6 | + | 1.97196e6i | 0.402350 | + | 0.274318i | ||||
\(92\) | −4.91335e6 | − | 8.51017e6i | −0.657840 | − | 1.13941i | ||||
\(93\) | 186918. | − | 323752.i | 0.0240969 | − | 0.0417370i | ||||
\(94\) | 1.40421e6 | − | 676231.i | 0.174375 | − | 0.0839746i | ||||
\(95\) | 781667. | + | 241112.i | 0.0935382 | + | 0.0288527i | ||||
\(96\) | 323780. | + | 4.32055e6i | 0.0373509 | + | 0.498413i | ||||
\(97\) | 2.92265e6 | + | 1.28049e7i | 0.325143 | + | 1.42455i | 0.828268 | + | 0.560333i | \(0.189327\pi\) |
−0.503124 | + | 0.864214i | \(0.667816\pi\) | |||||||
\(98\) | −370718. | + | 944573.i | −0.0397880 | + | 0.101378i | ||||
\(99\) | −925.504 | + | 12350.0i | −9.58639e−5 | + | 0.00127921i | ||||
\(100\) | −8.35959e6 | + | 1.26000e6i | −0.835959 | + | 0.126000i | ||||
\(101\) | −3.06917e6 | − | 2.84777e6i | −0.296412 | − | 0.275030i | 0.517920 | − | 0.855429i | \(-0.326706\pi\) |
−0.814333 | + | 0.580398i | \(0.802897\pi\) | |||||||
\(102\) | −799158. | − | 384854.i | −0.0745645 | − | 0.0359084i | ||||
\(103\) | −5.31094e6 | + | 3.62094e6i | −0.478896 | + | 0.326506i | −0.778593 | − | 0.627529i | \(-0.784067\pi\) |
0.299698 | + | 0.954034i | \(0.403114\pi\) | |||||||
\(104\) | −554750. | − | 1.41348e6i | −0.0483594 | − | 0.123218i | ||||
\(105\) | 5.09634e6 | − | 1.57201e6i | 0.429632 | − | 0.132524i | ||||
\(106\) | −277693. | + | 257662.i | −0.0226462 | + | 0.0210126i | ||||
\(107\) | −8.20981e6 | + | 1.02948e7i | −0.647873 | + | 0.812407i | −0.991963 | − | 0.126530i | \(-0.959616\pi\) |
0.344090 | + | 0.938937i | \(0.388187\pi\) | |||||||
\(108\) | −7.99708e6 | + | 1.00280e7i | −0.610869 | + | 0.766006i | ||||
\(109\) | −846148. | + | 785110.i | −0.0625826 | + | 0.0580681i | −0.710844 | − | 0.703350i | \(-0.751687\pi\) |
0.648261 | + | 0.761418i | \(0.275496\pi\) | |||||||
\(110\) | −47597.7 | + | 14682.0i | −0.00340967 | + | 0.00105174i | ||||
\(111\) | 6.91097e6 | + | 1.76089e7i | 0.479633 | + | 1.22208i | ||||
\(112\) | −1.42024e7 | + | 9.68306e6i | −0.955212 | + | 0.651253i | ||||
\(113\) | −2.19999e6 | − | 1.05946e6i | −0.143432 | − | 0.0690732i | 0.360791 | − | 0.932647i | \(-0.382507\pi\) |
−0.504223 | + | 0.863573i | \(0.668221\pi\) | |||||||
\(114\) | −551787. | − | 511983.i | −0.0348822 | − | 0.0323660i | ||||
\(115\) | 7.82312e6 | − | 1.17915e6i | 0.479665 | − | 0.0722978i | ||||
\(116\) | 903068. | − | 1.20506e7i | 0.0537177 | − | 0.716813i | ||||
\(117\) | 54653.3 | − | 139254.i | 0.00315476 | − | 0.00803819i | ||||
\(118\) | 458976. | + | 2.01090e6i | 0.0257160 | + | 0.112669i | ||||
\(119\) | −833067. | − | 1.11165e7i | −0.0453174 | − | 0.604719i | ||||
\(120\) | −2.21062e6 | − | 681887.i | −0.116783 | − | 0.0360228i | ||||
\(121\) | 1.75006e7 | − | 8.42785e6i | 0.898058 | − | 0.432482i | ||||
\(122\) | 2.31184e6 | − | 4.00423e6i | 0.115265 | − | 0.199645i | ||||
\(123\) | 1.56123e7 | + | 2.70412e7i | 0.756480 | + | 1.31026i | ||||
\(124\) | −828729. | − | 565018.i | −0.0390334 | − | 0.0266125i | ||||
\(125\) | 3.25077e6 | − | 1.42426e7i | 0.148868 | − | 0.652233i | ||||
\(126\) | 112052. | + | 16889.1i | 0.00499025 | + | 0.000752159i | ||||
\(127\) | 4.44667e6 | + | 5.57594e6i | 0.192629 | + | 0.241549i | 0.868761 | − | 0.495231i | \(-0.164917\pi\) |
−0.676132 | + | 0.736780i | \(0.736345\pi\) | |||||||
\(128\) | 1.54112e7 | 0.649533 | ||||||||
\(129\) | −2.37576e7 | + | 4.07785e6i | −0.974402 | + | 0.167250i | ||||
\(130\) | 601669. | 0.0240191 | ||||||||
\(131\) | 2.12835e6 | + | 2.66887e6i | 0.0827169 | + | 0.103724i | 0.821468 | − | 0.570255i | \(-0.193155\pi\) |
−0.738751 | + | 0.673978i | \(0.764584\pi\) | |||||||
\(132\) | −1.42301e6 | − | 214484.i | −0.0538515 | − | 0.00811681i | ||||
\(133\) | 2.10508e6 | − | 9.22297e6i | 0.0775869 | − | 0.339930i | ||||
\(134\) | −415586. | − | 283342.i | −0.0149209 | − | 0.0101729i | ||||
\(135\) | −5.16324e6 | − | 8.94300e6i | −0.180615 | − | 0.312835i | ||||
\(136\) | −2.41774e6 | + | 4.18765e6i | −0.0824184 | + | 0.142753i | ||||
\(137\) | −2.30569e7 | + | 1.11036e7i | −0.766089 | + | 0.368929i | −0.775763 | − | 0.631024i | \(-0.782635\pi\) |
0.00967393 | + | 0.999953i | \(0.496921\pi\) | |||||||
\(138\) | −6.95666e6 | − | 2.14585e6i | −0.225333 | − | 0.0695059i | ||||
\(139\) | −1.84888e6 | − | 2.46715e7i | −0.0583923 | − | 0.779191i | −0.947145 | − | 0.320805i | \(-0.896047\pi\) |
0.888753 | − | 0.458387i | \(-0.151572\pi\) | |||||||
\(140\) | −3.18414e6 | − | 1.39506e7i | −0.0980716 | − | 0.429680i | ||||
\(141\) | −1.32444e7 | + | 3.37462e7i | −0.397893 | + | 1.01381i | ||||
\(142\) | 117594. | − | 1.56918e6i | 0.00344648 | − | 0.0459901i | ||||
\(143\) | 751979. | − | 113343.i | 0.0215045 | − | 0.00324128i | ||||
\(144\) | 538476. | + | 499633.i | 0.0150279 | + | 0.0139438i | ||||
\(145\) | 8.76567e6 | + | 4.22132e6i | 0.238780 | + | 0.114990i | ||||
\(146\) | −4.03011e6 | + | 2.74768e6i | −0.107172 | + | 0.0730688i | ||||
\(147\) | −8.62295e6 | − | 2.19709e7i | −0.223895 | − | 0.570476i | ||||
\(148\) | 4.84987e7 | − | 1.49599e7i | 1.22974 | − | 0.379325i | ||||
\(149\) | 4.67039e7 | − | 4.33349e7i | 1.15665 | − | 1.07321i | 0.160367 | − | 0.987057i | \(-0.448732\pi\) |
0.996282 | − | 0.0861558i | \(-0.0274583\pi\) | |||||||
\(150\) | −3.90500e6 | + | 4.89672e6i | −0.0944717 | + | 0.118464i | ||||
\(151\) | −1.93060e7 | + | 2.42090e7i | −0.456324 | + | 0.572212i | −0.955763 | − | 0.294137i | \(-0.904968\pi\) |
0.499440 | + | 0.866349i | \(0.333539\pi\) | |||||||
\(152\) | −3.00808e6 | + | 2.79109e6i | −0.0694762 | + | 0.0644645i | ||||
\(153\) | −455221. | + | 140417.i | −0.0102755 | + | 0.00316957i | ||||
\(154\) | 210456. | + | 536233.i | 0.00464343 | + | 0.0118313i | ||||
\(155\) | 667211. | − | 454897.i | 0.0143914 | − | 0.00981187i | ||||
\(156\) | 1.56614e7 | + | 7.54212e6i | 0.330289 | + | 0.159059i | ||||
\(157\) | −4.05205e7 | − | 3.75975e7i | −0.835653 | − | 0.775372i | 0.141042 | − | 0.990004i | \(-0.454955\pi\) |
−0.976695 | + | 0.214631i | \(0.931145\pi\) | |||||||
\(158\) | 4.69127e6 | − | 707095.i | 0.0946217 | − | 0.0142619i | ||||
\(159\) | 658474. | − | 8.78672e6i | 0.0129912 | − | 0.173355i | ||||
\(160\) | −3.41924e6 | + | 8.71208e6i | −0.0659948 | + | 0.168152i | ||||
\(161\) | −2.03596e7 | − | 8.92012e7i | −0.384484 | − | 1.68454i | ||||
\(162\) | 694077. | + | 9.26182e6i | 0.0128264 | + | 0.171157i | ||||
\(163\) | −3.88328e7 | − | 1.19783e7i | −0.702331 | − | 0.216640i | −0.0770352 | − | 0.997028i | \(-0.524545\pi\) |
−0.625296 | + | 0.780388i | \(0.715022\pi\) | |||||||
\(164\) | 7.54799e7 | − | 3.63492e7i | 1.33622 | − | 0.643489i | ||||
\(165\) | 579302. | − | 1.00338e6i | 0.0100395 | − | 0.0173889i | ||||
\(166\) | −3.44133e6 | − | 5.96055e6i | −0.0583912 | − | 0.101137i | ||||
\(167\) | −2.23540e7 | − | 1.52407e7i | −0.371405 | − | 0.253219i | 0.363205 | − | 0.931709i | \(-0.381682\pi\) |
−0.734610 | + | 0.678490i | \(0.762635\pi\) | |||||||
\(168\) | −5.95336e6 | + | 2.60834e7i | −0.0968678 | + | 0.424406i | ||||
\(169\) | 5.29644e7 | + | 7.98310e6i | 0.844075 | + | 0.127224i | ||||
\(170\) | −1.19462e6 | − | 1.49800e6i | −0.0186491 | − | 0.0233852i | ||||
\(171\) | −404271. | −0.00618282 | ||||||||
\(172\) | 6.14694e6 | + | 6.43817e7i | 0.0921106 | + | 0.964745i | ||||
\(173\) | 1.10528e8 | 1.62297 | 0.811487 | − | 0.584371i | \(-0.198659\pi\) | ||||
0.811487 | + | 0.584371i | \(0.198659\pi\) | |||||||
\(174\) | −5.58192e6 | − | 6.99950e6i | −0.0803269 | − | 0.100727i | ||||
\(175\) | −7.78351e7 | − | 1.17318e7i | −1.09785 | − | 0.165474i | ||||
\(176\) | −830938. | + | 3.64058e6i | −0.0114888 | + | 0.0503357i | ||||
\(177\) | −3.96403e7 | − | 2.70263e7i | −0.537317 | − | 0.366337i | ||||
\(178\) | −7.41573e6 | − | 1.28444e7i | −0.0985561 | − | 0.170704i | ||||
\(179\) | 3.74166e7 | − | 6.48075e7i | 0.487617 | − | 0.844577i | −0.512282 | − | 0.858817i | \(-0.671200\pi\) |
0.999899 | + | 0.0142402i | \(0.00453296\pi\) | |||||||
\(180\) | −550941. | + | 265319.i | −0.00704128 | + | 0.00339090i | ||||
\(181\) | −1.07661e7 | − | 3.32091e6i | −0.134954 | − | 0.0416277i | 0.226543 | − | 0.974001i | \(-0.427258\pi\) |
−0.361496 | + | 0.932374i | \(0.617734\pi\) | |||||||
\(182\) | −519988. | − | 6.93876e6i | −0.00639357 | − | 0.0853163i | ||||
\(183\) | 2.39316e7 | + | 1.04851e8i | 0.288664 | + | 1.26472i | ||||
\(184\) | −1.44995e7 | + | 3.69441e7i | −0.171589 | + | 0.437203i | ||||
\(185\) | −3.05360e6 | + | 4.07475e7i | −0.0354578 | + | 0.473151i | ||||
\(186\) | −734782. | + | 110751.i | −0.00837265 | + | 0.00126197i | ||||
\(187\) | −1.77525e6 | − | 1.64719e6i | −0.0198524 | − | 0.0184204i | ||||
\(188\) | 8.76335e7 | + | 4.22021e7i | 0.961873 | + | 0.463213i | ||||
\(189\) | −9.86730e7 | + | 6.72741e7i | −1.06312 | + | 0.724822i | ||||
\(190\) | −594034. | − | 1.51357e6i | −0.00628310 | − | 0.0160091i | ||||
\(191\) | −5.32943e7 | + | 1.64391e7i | −0.553432 | + | 0.170711i | −0.558842 | − | 0.829274i | \(-0.688754\pi\) |
0.00541006 | + | 0.999985i | \(0.498278\pi\) | |||||||
\(192\) | −5.82502e7 | + | 5.40482e7i | −0.593940 | + | 0.551096i | ||||
\(193\) | −1.05527e8 | + | 1.32327e8i | −1.05661 | + | 1.32494i | −0.113103 | + | 0.993583i | \(0.536079\pi\) |
−0.943504 | + | 0.331361i | \(0.892492\pi\) | |||||||
\(194\) | 1.62776e7 | − | 2.04114e7i | 0.160060 | − | 0.200709i | ||||
\(195\) | −1.02590e7 | + | 9.51897e6i | −0.0990796 | + | 0.0919324i | ||||
\(196\) | −6.05127e7 | + | 1.86657e7i | −0.574051 | + | 0.177071i | ||||
\(197\) | 3.34810e7 | + | 8.53083e7i | 0.312009 | + | 0.794986i | 0.997744 | + | 0.0671347i | \(0.0213857\pi\) |
−0.685735 | + | 0.727851i | \(0.740519\pi\) | |||||||
\(198\) | 20339.6 | − | 13867.3i | 0.000186215 | − | 0.000126959i | ||||
\(199\) | 4.35424e7 | + | 2.09689e7i | 0.391676 | + | 0.188621i | 0.619348 | − | 0.785117i | \(-0.287397\pi\) |
−0.227672 | + | 0.973738i | \(0.573111\pi\) | |||||||
\(200\) | 2.50290e7 | + | 2.32235e7i | 0.221227 | + | 0.205269i | ||||
\(201\) | 1.15688e7 | − | 1.74372e6i | 0.100486 | − | 0.0151458i | ||||
\(202\) | −621923. | + | 8.29899e6i | −0.00530893 | + | 0.0708427i | ||||
\(203\) | 4.11068e7 | − | 1.04738e8i | 0.344888 | − | 0.878760i | ||||
\(204\) | −1.23178e7 | − | 5.39677e7i | −0.101584 | − | 0.445070i | ||||
\(205\) | 5.04043e6 | + | 6.72598e7i | 0.0408629 | + | 0.545277i | ||||
\(206\) | 1.22091e7 | + | 3.76601e6i | 0.0973081 | + | 0.0300156i | ||||
\(207\) | −3.52276e6 | + | 1.69647e6i | −0.0276049 | + | 0.0132938i | ||||
\(208\) | 2.25529e7 | − | 3.90628e7i | 0.173773 | − | 0.300983i | ||||
\(209\) | −1.02756e6 | − | 1.77979e6i | −0.00778568 | − | 0.0134852i | ||||
\(210\) | −8.75902e6 | − | 5.97180e6i | −0.0652661 | − | 0.0444977i | ||||
\(211\) | −1.01237e7 | + | 4.43547e7i | −0.0741907 | + | 0.325051i | −0.998381 | − | 0.0568819i | \(-0.981884\pi\) |
0.924190 | + | 0.381932i | \(0.124741\pi\) | |||||||
\(212\) | −2.33771e7 | − | 3.52353e6i | −0.168506 | − | 0.0253982i | ||||
\(213\) | 2.28208e7 | + | 2.86164e7i | 0.161809 | + | 0.202902i | ||||
\(214\) | 2.61733e7 | 0.182562 | ||||||||
\(215\) | −5.00587e7 | − | 1.43302e7i | −0.343515 | − | 0.0983371i | ||||
\(216\) | 5.18022e7 | 0.349752 | ||||||||
\(217\) | −5.82274e6 | − | 7.30148e6i | −0.0386828 | − | 0.0485067i | ||||
\(218\) | 2.26876e6 | + | 341960.i | 0.0148317 | + | 0.00223552i | ||||
\(219\) | 2.52462e7 | − | 1.10611e8i | 0.162420 | − | 0.711611i | ||||
\(220\) | −2.56842e6 | − | 1.75112e6i | −0.0162625 | − | 0.0110876i | ||||
\(221\) | 1.46261e7 | + | 2.53332e7i | 0.0911500 | + | 0.157876i | ||||
\(222\) | 1.88003e7 | − | 3.25631e7i | 0.115327 | − | 0.199752i | ||||
\(223\) | 1.61083e8 | − | 7.75733e7i | 0.972707 | − | 0.468431i | 0.121116 | − | 0.992638i | \(-0.461353\pi\) |
0.851591 | + | 0.524207i | \(0.175638\pi\) | |||||||
\(224\) | 1.03427e8 | + | 3.19031e7i | 0.614847 | + | 0.189655i | ||||
\(225\) | 251376. | + | 3.35438e6i | 0.00147124 | + | 0.0196324i | ||||
\(226\) | 1.08003e6 | + | 4.73193e6i | 0.00622382 | + | 0.0272683i | ||||
\(227\) | 1.01750e8 | − | 2.59255e8i | 0.577356 | − | 1.47108i | −0.281855 | − | 0.959457i | \(-0.590950\pi\) |
0.859211 | − | 0.511622i | \(-0.170955\pi\) | |||||||
\(228\) | 3.51051e6 | − | 4.68445e7i | 0.0196155 | − | 0.261750i | ||||
\(229\) | −3.39440e8 | + | 5.11624e7i | −1.86784 | + | 0.281531i | −0.982895 | − | 0.184167i | \(-0.941041\pi\) |
−0.884943 | + | 0.465699i | \(0.845803\pi\) | |||||||
\(230\) | −1.15278e7 | − | 1.06963e7i | −0.0624742 | − | 0.0579675i | ||||
\(231\) | −1.20722e7 | − | 5.81365e6i | −0.0644382 | − | 0.0310318i | ||||
\(232\) | −4.03253e7 | + | 2.74933e7i | −0.212016 | + | 0.144550i | ||||
\(233\) | −7.58303e7 | − | 1.93212e8i | −0.392733 | − | 1.00067i | −0.981346 | − | 0.192252i | \(-0.938421\pi\) |
0.588613 | − | 0.808415i | \(-0.299674\pi\) | |||||||
\(234\) | −284143. | + | 87646.4i | −0.00144971 | + | 0.000447176i | ||||
\(235\) | −5.74044e7 | + | 5.32635e7i | −0.288541 | + | 0.267727i | ||||
\(236\) | −8.02577e7 | + | 1.00640e8i | −0.397461 | + | 0.498401i | ||||
\(237\) | −6.88035e7 | + | 8.62768e7i | −0.335731 | + | 0.420993i | ||||
\(238\) | −1.62433e7 | + | 1.50716e7i | −0.0781006 | + | 0.0724668i | ||||
\(239\) | −5.26934e7 | + | 1.62538e7i | −0.249669 | + | 0.0770126i | −0.417063 | − | 0.908877i | \(-0.636941\pi\) |
0.167395 | + | 0.985890i | \(0.446465\pi\) | |||||||
\(240\) | −2.51063e7 | − | 6.39699e7i | −0.117231 | − | 0.298701i | ||||
\(241\) | −4.34956e7 | + | 2.96548e7i | −0.200164 | + | 0.136469i | −0.659254 | − | 0.751920i | \(-0.729128\pi\) |
0.459090 | + | 0.888390i | \(0.348175\pi\) | |||||||
\(242\) | −3.47863e7 | − | 1.67522e7i | −0.157781 | − | 0.0759833i | ||||
\(243\) | 7.39968e6 | + | 6.86590e6i | 0.0330819 | + | 0.0306955i | ||||
\(244\) | 2.85331e8 | − | 4.30067e7i | 1.25743 | − | 0.189527i | ||||
\(245\) | 3.81004e6 | − | 5.08414e7i | 0.0165519 | − | 0.220870i | ||||
\(246\) | 2.26751e7 | − | 5.77752e7i | 0.0971127 | − | 0.247439i | ||||
\(247\) | 5.52388e6 | + | 2.42017e7i | 0.0233241 | + | 0.102190i | ||||
\(248\) | 302726. | + | 4.03959e6i | 0.00126028 | + | 0.0168173i | ||||
\(249\) | 1.52979e8 | + | 4.71878e7i | 0.627964 | + | 0.193701i | ||||
\(250\) | −2.61626e7 | + | 1.25992e7i | −0.105899 | + | 0.0509981i | ||||
\(251\) | 2.07573e8 | − | 3.59526e8i | 0.828538 | − | 1.43507i | −0.0706479 | − | 0.997501i | \(-0.522507\pi\) |
0.899185 | − | 0.437568i | \(-0.144160\pi\) | |||||||
\(252\) | 3.53595e6 | + | 6.12444e6i | 0.0139189 | + | 0.0241082i | ||||
\(253\) | −1.64227e7 | − | 1.11968e7i | −0.0637562 | − | 0.0434682i | ||||
\(254\) | 3.15450e6 | − | 1.38208e7i | 0.0120785 | − | 0.0529193i | ||||
\(255\) | 4.40690e7 | + | 6.64234e6i | 0.166434 | + | 0.0250859i | ||||
\(256\) | 1.18063e8 | + | 1.48046e8i | 0.439818 | + | 0.551514i | ||||
\(257\) | −2.61123e8 | −0.959575 | −0.479787 | − | 0.877385i | \(-0.659286\pi\) | ||||
−0.479787 | + | 0.877385i | \(0.659286\pi\) | |||||||
\(258\) | 3.57805e7 | + | 3.18669e7i | 0.129711 | + | 0.115524i | ||||
\(259\) | 4.72560e8 | 1.69008 | ||||||||
\(260\) | 2.34113e7 | + | 2.93568e7i | 0.0826074 | + | 0.103586i | ||||
\(261\) | −4.75458e6 | − | 716638.i | −0.0165528 | − | 0.00249493i | ||||
\(262\) | 1.50987e6 | − | 6.61518e6i | 0.00518664 | − | 0.0227241i | ||||
\(263\) | −3.51411e8 | − | 2.39588e8i | −1.19116 | − | 0.812121i | −0.205140 | − | 0.978733i | \(-0.565765\pi\) |
−0.986022 | + | 0.166612i | \(0.946717\pi\) | |||||||
\(264\) | 2.90604e6 | + | 5.03341e6i | 0.00972048 | + | 0.0168364i | ||||
\(265\) | 9.51676e6 | − | 1.64835e7i | 0.0314144 | − | 0.0544113i | ||||
\(266\) | −1.69419e7 | + | 8.15880e6i | −0.0551921 | + | 0.0265791i | ||||
\(267\) | 3.29655e8 | + | 1.01685e8i | 1.05991 | + | 0.326940i | ||||
\(268\) | −2.34579e6 | − | 3.13024e7i | −0.00744419 | − | 0.0993358i | ||||
\(269\) | 2.28916e7 | + | 1.00295e8i | 0.0717041 | + | 0.314156i | 0.998043 | − | 0.0625356i | \(-0.0199187\pi\) |
−0.926339 | + | 0.376692i | \(0.877062\pi\) | |||||||
\(270\) | −7.49904e6 | + | 1.91072e7i | −0.0231864 | + | 0.0590779i | ||||
\(271\) | 1.36056e7 | − | 1.81554e8i | 0.0415265 | − | 0.554133i | −0.937177 | − | 0.348854i | \(-0.886571\pi\) |
0.978704 | − | 0.205279i | \(-0.0658100\pi\) | |||||||
\(272\) | −1.42035e8 | + | 2.14084e7i | −0.427962 | + | 0.0645048i | ||||
\(273\) | 1.18644e8 | + | 1.10085e8i | 0.352920 | + | 0.327462i | ||||
\(274\) | 4.58307e7 | + | 2.20709e7i | 0.134595 | + | 0.0648176i | ||||
\(275\) | −1.41286e7 | + | 9.63272e6i | −0.0409671 | + | 0.0279309i | ||||
\(276\) | −1.65987e8 | − | 4.22928e8i | −0.475217 | − | 1.21083i | ||||
\(277\) | −3.38263e8 | + | 1.04340e8i | −0.956259 | + | 0.294967i | −0.733334 | − | 0.679869i | \(-0.762037\pi\) |
−0.222925 | + | 0.974836i | \(0.571561\pi\) | |||||||
\(278\) | −3.60497e7 | + | 3.34492e7i | −0.100634 | + | 0.0933747i | ||||
\(279\) | −248829. | + | 312022.i | −0.000685942 | + | 0.000860144i | ||||
\(280\) | −3.60327e7 | + | 4.51836e7i | −0.0980942 | + | 0.123006i | ||||
\(281\) | −4.79355e8 | + | 4.44776e8i | −1.28880 | + | 1.19583i | −0.320159 | + | 0.947364i | \(0.603736\pi\) |
−0.968640 | + | 0.248467i | \(0.920073\pi\) | |||||||
\(282\) | 6.88578e7 | − | 2.12398e7i | 0.182844 | − | 0.0564000i | ||||
\(283\) | −2.38506e8 | − | 6.07703e8i | −0.625527 | − | 1.59382i | −0.793869 | − | 0.608089i | \(-0.791936\pi\) |
0.168342 | − | 0.985729i | \(-0.446159\pi\) | |||||||
\(284\) | 8.11397e7 | − | 5.53201e7i | 0.210193 | − | 0.143307i | ||||
\(285\) | 3.40750e7 | + | 1.64096e7i | 0.0871923 | + | 0.0419896i | ||||
\(286\) | −1.10808e6 | − | 1.02815e6i | −0.00280086 | − | 0.00259882i | ||||
\(287\) | 7.71319e8 | − | 1.16258e8i | 1.92596 | − | 0.290292i | ||||
\(288\) | 345654. | − | 4.61243e6i | 0.000852644 | − | 0.0113777i | ||||
\(289\) | −1.15881e8 | + | 2.95259e8i | −0.282402 | + | 0.719550i | ||||
\(290\) | −4.30330e6 | − | 1.88540e7i | −0.0103612 | − | 0.0453952i | ||||
\(291\) | 4.53804e7 | + | 6.05559e8i | 0.107955 | + | 1.44056i | ||||
\(292\) | −2.90880e8 | − | 8.97246e7i | −0.683713 | − | 0.210898i | ||||
\(293\) | 2.81871e8 | − | 1.35742e8i | 0.654657 | − | 0.315266i | −0.0769078 | − | 0.997038i | \(-0.524505\pi\) |
0.731565 | + | 0.681772i | \(0.238790\pi\) | |||||||
\(294\) | −2.34575e7 | + | 4.06296e7i | −0.0538352 | + | 0.0932454i | ||||
\(295\) | −5.18177e7 | − | 8.97508e7i | −0.117517 | − | 0.203545i | ||||
\(296\) | −1.69363e8 | − | 1.15470e8i | −0.379575 | − | 0.258790i | ||||
\(297\) | −5.77303e6 | + | 2.52933e7i | −0.0127866 | + | 0.0560219i | ||||
\(298\) | −1.25226e8 | − | 1.88748e7i | −0.274119 | − | 0.0413167i | ||||
\(299\) | 1.49694e8 | + | 1.87710e8i | 0.323858 | + | 0.406105i | ||||
\(300\) | −3.90868e8 | −0.835807 | ||||||||
\(301\) | −1.22000e8 | + | 5.89688e8i | −0.257856 | + | 1.24635i | ||||
\(302\) | 6.15486e7 | 0.128586 | ||||||||
\(303\) | −1.20693e8 | − | 1.51345e8i | −0.249249 | − | 0.312549i | ||||
\(304\) | −1.20534e8 | − | 1.81676e7i | −0.246066 | − | 0.0370885i | ||||
\(305\) | −5.16949e7 | + | 2.26490e8i | −0.104327 | + | 0.457088i | ||||
\(306\) | 782383. | + | 533420.i | 0.00156097 | + | 0.00106425i | ||||
\(307\) | 4.87684e8 | + | 8.44694e8i | 0.961954 | + | 1.66615i | 0.717584 | + | 0.696472i | \(0.245248\pi\) |
0.244371 | + | 0.969682i | \(0.421419\pi\) | |||||||
\(308\) | −1.79751e7 | + | 3.11338e7i | −0.0350545 | + | 0.0607161i | ||||
\(309\) | −2.67758e8 | + | 1.28946e8i | −0.516284 | + | 0.248629i | ||||
\(310\) | −1.53383e6 | − | 473123.i | −0.00292422 | − | 0.000902003i | ||||
\(311\) | −3.45797e7 | − | 4.61434e8i | −0.0651869 | − | 0.869858i | −0.929952 | − | 0.367682i | \(-0.880152\pi\) |
0.864765 | − | 0.502177i | \(-0.167467\pi\) | |||||||
\(312\) | −1.56220e7 | − | 6.84446e7i | −0.0291203 | − | 0.127585i | ||||
\(313\) | 5.07159e7 | − | 1.29222e8i | 0.0934843 | − | 0.238194i | −0.876481 | − | 0.481436i | \(-0.840116\pi\) |
0.969966 | + | 0.243241i | \(0.0782107\pi\) | |||||||
\(314\) | −8.21089e6 | + | 1.09567e8i | −0.0149671 | + | 0.199722i | ||||
\(315\) | −5.63000e6 | + | 848585.i | −0.0101489 | + | 0.00152971i | ||||
\(316\) | 2.17041e8 | + | 2.01384e8i | 0.386934 | + | 0.359022i | ||||
\(317\) | 8.62695e8 | + | 4.15452e8i | 1.52107 | + | 0.732510i | 0.993157 | − | 0.116786i | \(-0.0372593\pi\) |
0.527916 | + | 0.849297i | \(0.322974\pi\) | |||||||
\(318\) | −1.44712e7 | + | 9.86627e6i | −0.0252353 | + | 0.0172051i | ||||
\(319\) | −8.93006e6 | − | 2.27534e7i | −0.0154023 | − | 0.0392445i | ||||
\(320\) | −1.64022e8 | + | 5.05941e7i | −0.279819 | + | 0.0863128i | ||||
\(321\) | −4.46278e8 | + | 4.14086e8i | −0.753075 | + | 0.698751i | ||||
\(322\) | −1.13392e8 | + | 1.42189e8i | −0.189272 | + | 0.237340i | ||||
\(323\) | 4.92883e7 | − | 6.18056e7i | 0.0813833 | − | 0.102051i | ||||
\(324\) | −4.24899e8 | + | 3.94248e8i | −0.694029 | + | 0.643965i | ||||
\(325\) | 1.97375e8 | − | 6.08822e7i | 0.318934 | − | 0.0983782i | ||||
\(326\) | 2.95113e7 | + | 7.51935e7i | 0.0471766 | + | 0.120204i | ||||
\(327\) | −4.40945e7 | + | 3.00631e7i | −0.0697377 | + | 0.0475463i | ||||
\(328\) | −3.04844e8 | − | 1.46805e8i | −0.477001 | − | 0.229712i | ||||
\(329\) | 6.63874e8 | + | 6.15985e8i | 1.02778 | + | 0.953640i | ||||
\(330\) | −2.27726e6 | + | 343241.i | −0.00348830 | + | 0.000525776i | ||||
\(331\) | 3.31392e7 | − | 4.42211e8i | 0.0502277 | − | 0.670242i | −0.914093 | − | 0.405505i | \(-0.867096\pi\) |
0.964321 | − | 0.264737i | \(-0.0852853\pi\) | |||||||
\(332\) | 1.56925e8 | − | 3.99839e8i | 0.235347 | − | 0.599655i | ||||
\(333\) | −4.49369e6 | − | 1.96881e7i | −0.00666880 | − | 0.0292179i | ||||
\(334\) | 4.01883e6 | + | 5.36276e7i | 0.00590183 | + | 0.0787545i | ||||
\(335\) | 2.41495e7 | + | 7.44913e6i | 0.0350955 | + | 0.0108255i | ||||
\(336\) | −7.16035e8 | + | 3.44825e8i | −1.02979 | + | 0.495919i | ||||
\(337\) | 5.88071e8 | − | 1.01857e9i | 0.836999 | − | 1.44972i | −0.0553937 | − | 0.998465i | \(-0.517641\pi\) |
0.892393 | − | 0.451260i | \(-0.149025\pi\) | |||||||
\(338\) | −5.32338e7 | − | 9.22036e7i | −0.0749857 | − | 0.129879i | ||||
\(339\) | −9.32790e7 | − | 6.35965e7i | −0.130042 | − | 0.0886614i | ||||
\(340\) | 2.66077e7 | − | 1.16576e8i | 0.0367140 | − | 0.160855i | ||||
\(341\) | −2.00613e6 | − | 302376.i | −0.00273981 | − | 0.000412959i | ||||
\(342\) | 501022. | + | 628262.i | 0.000677276 | + | 0.000849277i | ||||
\(343\) | 3.61574e8 | 0.483802 | ||||||||
\(344\) | 1.87814e8 | − | 1.81530e8i | 0.248756 | − | 0.240433i | ||||
\(345\) | 3.65785e8 | 0.479578 | ||||||||
\(346\) | −1.36980e8 | − | 1.71767e8i | −0.177783 | − | 0.222933i | ||||
\(347\) | −3.68161e8 | − | 5.54913e7i | −0.473025 | − | 0.0712970i | −0.0917963 | − | 0.995778i | \(-0.529261\pi\) |
−0.381229 | + | 0.924481i | \(0.624499\pi\) | |||||||
\(348\) | 1.24326e8 | − | 5.44709e8i | 0.158138 | − | 0.692847i | ||||
\(349\) | −4.96474e8 | − | 3.38490e8i | −0.625183 | − | 0.426243i | 0.208857 | − | 0.977946i | \(-0.433026\pi\) |
−0.834040 | + | 0.551703i | \(0.813978\pi\) | |||||||
\(350\) | 7.82309e7 | + | 1.35500e8i | 0.0975304 | + | 0.168928i | ||||
\(351\) | 1.56689e8 | − | 2.71393e8i | 0.193403 | − | 0.334984i | ||||
\(352\) | 2.11847e7 | − | 1.02020e7i | 0.0258894 | − | 0.0124677i | ||||
\(353\) | −2.94712e8 | − | 9.09067e7i | −0.356604 | − | 0.109998i | 0.111276 | − | 0.993789i | \(-0.464506\pi\) |
−0.467881 | + | 0.883792i | \(0.654982\pi\) | |||||||
\(354\) | 7.12659e6 | + | 9.50978e7i | 0.00853828 | + | 0.113935i | ||||
\(355\) | 1.75934e7 | + | 7.70816e7i | 0.0208713 | + | 0.0914432i | ||||
\(356\) | 3.38159e8 | − | 8.61614e8i | 0.397233 | − | 1.01213i | ||||
\(357\) | 3.85165e7 | − | 5.13967e8i | 0.0448031 | − | 0.597856i | ||||
\(358\) | −1.47086e8 | + | 2.21696e7i | −0.169426 | + | 0.0255369i | ||||
\(359\) | −5.77059e8 | − | 5.35432e8i | −0.658248 | − | 0.610765i | 0.278640 | − | 0.960396i | \(-0.410116\pi\) |
−0.936887 | + | 0.349631i | \(0.886307\pi\) | |||||||
\(360\) | 2.22511e6 | + | 1.07156e6i | 0.00251358 | + | 0.00121048i | ||||
\(361\) | −6.83123e8 | + | 4.65745e8i | −0.764229 | + | 0.521043i | ||||
\(362\) | 8.18181e6 | + | 2.08469e7i | 0.00906503 | + | 0.0230973i | ||||
\(363\) | 8.58173e8 | − | 2.64711e8i | 0.941676 | − | 0.290469i | ||||
\(364\) | 3.18325e8 | − | 2.95363e8i | 0.345952 | − | 0.320997i | ||||
\(365\) | 1.52802e8 | − | 1.91608e8i | 0.164477 | − | 0.206247i | ||||
\(366\) | 1.33286e8 | − | 1.67135e8i | 0.142102 | − | 0.178191i | ||||
\(367\) | 5.36390e8 | − | 4.97697e8i | 0.566434 | − | 0.525574i | −0.344141 | − | 0.938918i | \(-0.611830\pi\) |
0.910575 | + | 0.413344i | \(0.135639\pi\) | |||||||
\(368\) | −1.12655e9 | + | 3.47496e8i | −1.17838 | + | 0.363481i | ||||
\(369\) | −1.21783e7 | − | 3.10297e7i | −0.0126181 | − | 0.0321503i | ||||
\(370\) | 6.71085e7 | − | 4.57538e7i | 0.0688765 | − | 0.0469592i | ||||
\(371\) | −1.98321e8 | − | 9.55065e7i | −0.201632 | − | 0.0971011i | ||||
\(372\) | −3.39946e7 | − | 3.15423e7i | −0.0342380 | − | 0.0317683i | ||||
\(373\) | −1.12663e8 | + | 1.69812e7i | −0.112409 | + | 0.0169429i | −0.205006 | − | 0.978761i | \(-0.565721\pi\) |
0.0925968 | + | 0.995704i | \(0.470483\pi\) | |||||||
\(374\) | −359728. | + | 4.80024e6i | −0.000355569 | + | 0.00474474i | ||||
\(375\) | 2.46764e8 | − | 6.28744e8i | 0.241642 | − | 0.615693i | ||||
\(376\) | −8.74133e7 | − | 3.82983e8i | −0.0848048 | − | 0.371554i | ||||
\(377\) | 2.20641e7 | + | 2.94425e8i | 0.0212076 | + | 0.282996i | ||||
\(378\) | 2.26836e8 | + | 6.99695e7i | 0.216018 | + | 0.0666327i | ||||
\(379\) | −1.88584e8 | + | 9.08172e7i | −0.177937 | + | 0.0856902i | −0.520732 | − | 0.853720i | \(-0.674341\pi\) |
0.342794 | + | 0.939410i | \(0.388627\pi\) | |||||||
\(380\) | 5.07366e7 | − | 8.78783e7i | 0.0474328 | − | 0.0821560i | ||||
\(381\) | 1.64870e8 | + | 2.85564e8i | 0.152723 | + | 0.264524i | ||||
\(382\) | 9.15962e7 | + | 6.24492e7i | 0.0840728 | + | 0.0573199i | ||||
\(383\) | −3.63360e8 | + | 1.59198e9i | −0.330477 | + | 1.44792i | 0.487731 | + | 0.872994i | \(0.337825\pi\) |
−0.818209 | + | 0.574922i | \(0.805033\pi\) | |||||||
\(384\) | 7.04572e8 | + | 1.06197e8i | 0.634989 | + | 0.0957091i | ||||
\(385\) | −1.80460e7 | − | 2.26290e7i | −0.0161164 | − | 0.0202093i | ||||
\(386\) | 3.36426e8 | 0.297738 | ||||||||
\(387\) | 2.57281e7 | − | 524622.i | 0.0225642 | − | 0.000460106i | ||||
\(388\) | 1.62929e9 | 1.41608 | ||||||||
\(389\) | 6.32520e8 | + | 7.93155e8i | 0.544817 | + | 0.683179i | 0.975670 | − | 0.219243i | \(-0.0703588\pi\) |
−0.430853 | + | 0.902422i | \(0.641787\pi\) | |||||||
\(390\) | 2.75073e7 | + | 4.14605e6i | 0.0234813 | + | 0.00353923i | ||||
\(391\) | 1.70132e8 | − | 7.45397e8i | 0.143935 | − | 0.630622i | ||||
\(392\) | 2.11317e8 | + | 1.44074e8i | 0.177188 | + | 0.120805i | ||||
\(393\) | 7.89136e7 | + | 1.36682e8i | 0.0655810 | + | 0.113590i | ||||
\(394\) | 9.10805e7 | − | 1.57756e8i | 0.0750220 | − | 0.129942i | ||||
\(395\) | −2.14767e8 | + | 1.03426e8i | −0.175338 | + | 0.0844386i | ||||
\(396\) | 1.46805e6 | + | 452832.i | 0.00118797 | + | 0.000366441i | ||||
\(397\) | −7.95686e7 | − | 1.06177e9i | −0.0638227 | − | 0.851655i | −0.933624 | − | 0.358253i | \(-0.883372\pi\) |
0.869802 | − | 0.493401i | \(-0.164247\pi\) | |||||||
\(398\) | −2.13761e7 | − | 9.36548e7i | −0.0169956 | − | 0.0744628i | ||||
\(399\) | 1.59795e8 | − | 4.07152e8i | 0.125939 | − | 0.320886i | ||||
\(400\) | −7.57947e7 | + | 1.01141e9i | −0.0592146 | + | 0.790164i | ||||
\(401\) | −2.16983e9 | + | 3.27050e8i | −1.68043 | + | 0.253284i | −0.918799 | − | 0.394725i | \(-0.870840\pi\) |
−0.761632 | + | 0.648009i | \(0.775602\pi\) | |||||||
\(402\) | −1.70474e7 | − | 1.58176e7i | −0.0130878 | − | 0.0121437i | ||||
\(403\) | 2.20792e7 | + | 1.06328e7i | 0.0168041 | + | 0.00809243i | ||||
\(404\) | −4.29126e8 | + | 2.92573e8i | −0.323780 | + | 0.220750i | ||||
\(405\) | −1.70490e8 | − | 4.34402e8i | −0.127528 | − | 0.324937i | ||||
\(406\) | −2.13715e8 | + | 6.59222e7i | −0.158487 | + | 0.0488867i | ||||
\(407\) | 7.52544e7 | − | 6.98259e7i | 0.0553288 | − | 0.0513377i | ||||
\(408\) | −1.39392e8 | + | 1.74792e8i | −0.101608 | + | 0.127412i | ||||
\(409\) | −5.99509e8 | + | 7.51761e8i | −0.433276 | + | 0.543311i | −0.949757 | − | 0.312988i | \(-0.898670\pi\) |
0.516481 | + | 0.856298i | \(0.327242\pi\) | |||||||
\(410\) | 9.82791e7 | − | 9.11897e7i | 0.0704235 | − | 0.0653435i | ||||
\(411\) | −1.13064e9 | + | 3.48755e8i | −0.803298 | + | 0.247785i | ||||
\(412\) | 2.91311e8 | + | 7.42249e8i | 0.205219 | + | 0.522889i | ||||
\(413\) | −9.90270e8 | + | 6.75155e8i | −0.691717 | + | 0.471605i | ||||
\(414\) | 7.00225e6 | + | 3.37211e6i | 0.00484994 | + | 0.00233561i | ||||
\(415\) | 2.53501e8 | + | 2.35214e8i | 0.174105 | + | 0.161546i | ||||
\(416\) | −2.80846e8 | + | 4.23308e7i | −0.191268 | + | 0.0288290i | ||||
\(417\) | 8.54821e7 | − | 1.14068e9i | 0.0577296 | − | 0.770349i | ||||
\(418\) | −1.49242e6 | + | 3.80263e6i | −0.000999481 | + | 0.00254664i | ||||
\(419\) | 1.86612e7 | + | 8.17602e7i | 0.0123934 | + | 0.0542991i | 0.980747 | − | 0.195285i | \(-0.0625632\pi\) |
−0.968353 | + | 0.249584i | \(0.919706\pi\) | |||||||
\(420\) | −4.94406e7 | − | 6.59739e8i | −0.0325620 | − | 0.434510i | ||||
\(421\) | −1.39042e9 | − | 4.28889e8i | −0.908155 | − | 0.280129i | −0.194727 | − | 0.980857i | \(-0.562382\pi\) |
−0.713428 | + | 0.700729i | \(0.752858\pi\) | |||||||
\(422\) | 8.14764e7 | − | 3.92369e7i | 0.0527762 | − | 0.0254157i | ||||
\(423\) | 1.93507e7 | − | 3.35163e7i | 0.0124309 | − | 0.0215310i | ||||
\(424\) | 4.77403e7 | + | 8.26887e7i | 0.0304162 | + | 0.0526824i | ||||
\(425\) | −5.43470e8 | − | 3.70532e8i | −0.343411 | − | 0.234134i | ||||
\(426\) | 1.61893e7 | − | 7.09299e7i | 0.0101460 | − | 0.0444525i | ||||
\(427\) | 2.65668e9 | + | 4.00430e8i | 1.65136 | + | 0.248902i | ||||
\(428\) | 1.01842e9 | + | 1.27706e9i | 0.627875 | + | 0.787330i | ||||
\(429\) | 3.51602e7 | 0.0215006 | ||||||||
\(430\) | 3.97689e7 | + | 9.55540e7i | 0.0241215 | + | 0.0579575i | ||||
\(431\) | −1.99765e9 | −1.20185 | −0.600924 | − | 0.799306i | \(-0.705200\pi\) | ||||
−0.600924 | + | 0.799306i | \(0.705200\pi\) | |||||||
\(432\) | 9.59426e8 | + | 1.20308e9i | 0.572557 | + | 0.717963i | ||||
\(433\) | 1.24143e9 | + | 1.87115e8i | 0.734876 | + | 0.110765i | 0.505808 | − | 0.862646i | \(-0.331194\pi\) |
0.229067 | + | 0.973411i | \(0.426432\pi\) | |||||||
\(434\) | −4.13070e6 | + | 1.80978e7i | −0.00242555 | + | 0.0106270i | ||||
\(435\) | 3.71662e8 | + | 2.53395e8i | 0.216489 | + | 0.147600i | ||||
\(436\) | 7.15937e7 | + | 1.24004e8i | 0.0413687 | + | 0.0716527i | ||||
\(437\) | 3.24414e8 | − | 5.61901e8i | 0.185958 | − | 0.322088i | ||||
\(438\) | −2.03184e8 | + | 9.78481e7i | −0.115539 | + | 0.0556408i | ||||
\(439\) | −2.99974e9 | − | 9.25298e8i | −1.69222 | − | 0.521982i | −0.709129 | − | 0.705078i | \(-0.750912\pi\) |
−0.983095 | + | 0.183096i | \(0.941388\pi\) | |||||||
\(440\) | 938216. | + | 1.25196e7i | 0.000525072 | + | 0.00700660i | ||||
\(441\) | 5.60685e6 | + | 2.45652e7i | 0.00311304 | + | 0.0136391i | ||||
\(442\) | 2.12429e7 | − | 5.41259e7i | 0.0117013 | − | 0.0298145i | ||||
\(443\) | −2.24376e8 | + | 2.99408e9i | −0.122620 | + | 1.63625i | 0.508850 | + | 0.860855i | \(0.330071\pi\) |
−0.631471 | + | 0.775400i | \(0.717548\pi\) | |||||||
\(444\) | 2.32036e9 | − | 3.49738e8i | 1.25810 | − | 0.189628i | ||||
\(445\) | 5.46270e8 | + | 5.06864e8i | 0.293865 | + | 0.272666i | ||||
\(446\) | −3.20187e8 | − | 1.54194e8i | −0.170896 | − | 0.0822992i | ||||
\(447\) | 2.43384e9 | − | 1.65936e9i | 1.28889 | − | 0.878750i | ||||
\(448\) | 7.25232e8 | + | 1.84786e9i | 0.381069 | + | 0.970949i | ||||
\(449\) | −3.61555e7 | + | 1.11525e7i | −0.0188500 | + | 0.00581447i | −0.304166 | − | 0.952619i | \(-0.598378\pi\) |
0.285316 | + | 0.958434i | \(0.407902\pi\) | |||||||
\(450\) | 4.90137e6 | − | 4.54781e6i | 0.00253556 | − | 0.00235266i | ||||
\(451\) | 1.05653e8 | − | 1.32485e8i | 0.0542330 | − | 0.0680060i | ||||
\(452\) | −1.88857e8 | + | 2.36819e8i | −0.0961941 | + | 0.120624i | ||||
\(453\) | −1.04946e9 | + | 9.73755e8i | −0.530422 | + | 0.492160i | ||||
\(454\) | −5.28998e8 | + | 1.63174e8i | −0.265313 | + | 0.0818383i | ||||
\(455\) | 1.27728e8 | + | 3.25445e8i | 0.0635690 | + | 0.161971i | ||||
\(456\) | −1.56757e8 | + | 1.06875e8i | −0.0774195 | + | 0.0527837i | ||||
\(457\) | −1.96398e8 | − | 9.45805e7i | −0.0962568 | − | 0.0463548i | 0.385136 | − | 0.922860i | \(-0.374155\pi\) |
−0.481393 | + | 0.876505i | \(0.659869\pi\) | |||||||
\(458\) | 5.00185e8 | + | 4.64104e8i | 0.243277 | + | 0.225728i | ||||
\(459\) | −9.86805e8 | + | 1.48737e8i | −0.476307 | + | 0.0717917i | ||||
\(460\) | 7.33410e7 | − | 9.78668e8i | 0.0351313 | − | 0.468795i | ||||
\(461\) | −8.93248e8 | + | 2.27596e9i | −0.424638 | + | 1.08196i | 0.545221 | + | 0.838292i | \(0.316446\pi\) |
−0.969859 | + | 0.243667i | \(0.921650\pi\) | |||||||
\(462\) | 5.92654e6 | + | 2.59659e7i | 0.00279611 | + | 0.0122506i | ||||
\(463\) | −1.12278e8 | − | 1.49825e9i | −0.0525729 | − | 0.701536i | −0.959762 | − | 0.280814i | \(-0.909396\pi\) |
0.907189 | − | 0.420723i | \(-0.138223\pi\) | |||||||
\(464\) | −1.38538e9 | − | 4.27333e8i | −0.643808 | − | 0.198588i | ||||
\(465\) | 3.36384e7 | − | 1.61994e7i | 0.0155149 | − | 0.00747159i | ||||
\(466\) | −2.06286e8 | + | 3.57297e8i | −0.0944318 | + | 0.163561i | ||||
\(467\) | 1.50096e9 | + | 2.59974e9i | 0.681961 | + | 1.18119i | 0.974382 | + | 0.224901i | \(0.0722059\pi\) |
−0.292421 | + | 0.956290i | \(0.594461\pi\) | |||||||
\(468\) | −1.53326e7 | − | 1.04536e7i | −0.00691443 | − | 0.00471418i | ||||
\(469\) | 6.50362e7 | − | 2.84942e8i | 0.0291105 | − | 0.127542i | ||||
\(470\) | 1.53917e8 | + | 2.31993e7i | 0.0683825 | + | 0.0103070i | ||||
\(471\) | −1.59344e9 | − | 1.99812e9i | −0.702690 | − | 0.881145i | ||||
\(472\) | 5.19881e8 | 0.227566 | ||||||||
\(473\) | 6.77045e7 | + | 1.11934e8i | 0.0294173 | + | 0.0486348i | ||||
\(474\) | 2.19349e8 | 0.0946045 | ||||||||
\(475\) | −3.48027e8 | − | 4.36412e8i | −0.149000 | − | 0.186840i | ||||
\(476\) | −1.36741e9 | − | 2.06104e8i | −0.581132 | − | 0.0875916i | ||||
\(477\) | −2.09317e6 | + | 9.17079e6i | −0.000883061 | + | 0.00386894i | ||||
\(478\) | 9.05635e7 | + | 6.17452e7i | 0.0379276 | + | 0.0258586i | ||||
\(479\) | −5.07018e8 | − | 8.78180e8i | −0.210789 | − | 0.365098i | 0.741172 | − | 0.671315i | \(-0.234270\pi\) |
−0.951962 | + | 0.306217i | \(0.900937\pi\) | |||||||
\(480\) | −2.16356e8 | + | 3.74739e8i | −0.0892944 | + | 0.154663i | ||||
\(481\) | −1.11723e9 | + | 5.38029e8i | −0.457757 | + | 0.220444i | ||||
\(482\) | 9.99904e7 | + | 3.08430e7i | 0.0406718 | + | 0.0125456i | ||||
\(483\) | −3.16127e8 | − | 4.21842e9i | −0.127658 | − | 1.70347i | ||||
\(484\) | −5.36176e8 | − | 2.34914e9i | −0.214956 | − | 0.941782i | ||||
\(485\) | −4.79234e8 | + | 1.22107e9i | −0.190744 | + | 0.486008i | ||||
\(486\) | 1.49944e6 | − | 2.00086e7i | 0.000592518 | − | 0.00790660i | ||||
\(487\) | 1.30174e9 | − | 1.96205e8i | 0.510707 | − | 0.0769767i | 0.111367 | − | 0.993779i | \(-0.464477\pi\) |
0.399341 | + | 0.916803i | \(0.369239\pi\) | |||||||
\(488\) | −8.54294e8 | − | 7.92669e8i | −0.332765 | − | 0.308761i | ||||
\(489\) | −1.69282e9 | − | 8.15221e8i | −0.654683 | − | 0.315279i | ||||
\(490\) | −8.37325e7 | + | 5.70878e7i | −0.0321520 | + | 0.0219208i | ||||
\(491\) | 1.40974e9 | + | 3.59197e9i | 0.537471 | + | 1.36945i | 0.899350 | + | 0.437229i | \(0.144040\pi\) |
−0.361879 | + | 0.932225i | \(0.617865\pi\) | |||||||
\(492\) | 3.70128e9 | − | 1.14170e9i | 1.40112 | − | 0.432188i | ||||
\(493\) | 6.89234e8 | − | 6.39516e8i | 0.259061 | − | 0.240374i | ||||
\(494\) | 3.07651e7 | − | 3.85782e7i | 0.0114819 | − | 0.0143978i | ||||
\(495\) | −771180. | + | 967029.i | −0.000285784 | + | 0.000358361i | ||||
\(496\) | −8.82109e7 | + | 8.18477e7i | −0.0324591 | + | 0.0301176i | ||||
\(497\) | 8.73740e8 | − | 2.69513e8i | 0.319253 | − | 0.0984765i | ||||
\(498\) | −1.16258e8 | − | 2.96220e8i | −0.0421812 | − | 0.107476i | ||||
\(499\) | 3.54150e9 | − | 2.41455e9i | 1.27595 | − | 0.869931i | 0.280019 | − | 0.959995i | \(-0.409659\pi\) |
0.995936 | + | 0.0900635i | \(0.0287070\pi\) | |||||||
\(500\) | −1.63275e9 | − | 7.86289e8i | −0.584149 | − | 0.281311i | ||||
\(501\) | −9.16962e8 | − | 8.50817e8i | −0.325776 | − | 0.302276i | ||||
\(502\) | −8.15975e8 | + | 1.22988e8i | −0.287882 | + | 0.0433912i | ||||
\(503\) | 3.55393e8 | − | 4.74239e9i | 0.124515 | − | 1.66153i | −0.489324 | − | 0.872102i | \(-0.662757\pi\) |
0.613839 | − | 0.789431i | \(-0.289624\pi\) | |||||||
\(504\) | 1.04347e7 | − | 2.65872e7i | 0.00363056 | − | 0.00925052i | ||||
\(505\) | −9.30467e7 | − | 4.07664e8i | −0.0321500 | − | 0.140858i | ||||
\(506\) | 2.95249e6 | + | 3.93983e7i | 0.00101312 | + | 0.0135192i | ||||
\(507\) | 2.36643e9 | + | 7.29947e8i | 0.806428 | + | 0.248750i | ||||
\(508\) | 7.97091e8 | − | 3.83859e8i | 0.269765 | − | 0.129912i | ||||
\(509\) | 9.42519e8 | − | 1.63249e9i | 0.316795 | − | 0.548705i | −0.663023 | − | 0.748599i | \(-0.730727\pi\) |
0.979817 | + | 0.199895i | \(0.0640600\pi\) | |||||||
\(510\) | −4.42931e7 | − | 7.67180e7i | −0.0147857 | − | 0.0256095i | ||||
\(511\) | −2.34178e9 | − | 1.59660e9i | −0.776378 | − | 0.529325i | ||||
\(512\) | 5.22706e8 | − | 2.29013e9i | 0.172113 | − | 0.754075i | ||||
\(513\) | −8.37424e8 | − | 1.26221e8i | −0.273864 | − | 0.0412783i | ||||
\(514\) | 3.23615e8 | + | 4.05801e8i | 0.105113 | + | 0.131808i | ||||
\(515\) | −6.41962e8 | −0.207102 | ||||||||
\(516\) | −1.62621e8 | + | 2.98577e9i | −0.0521079 | + | 0.956716i | ||||
\(517\) | 1.96739e8 | 0.0626144 | ||||||||
\(518\) | −5.85654e8 | − | 7.34387e8i | −0.185134 | − | 0.232151i | ||||
\(519\) | 5.05315e9 | + | 7.61640e8i | 1.58663 | + | 0.239146i | ||||
\(520\) | 3.37453e7 | − | 1.47848e8i | 0.0105245 | − | 0.0461109i | ||||
\(521\) | 3.67924e9 | + | 2.50847e9i | 1.13979 | + | 0.777099i | 0.977768 | − | 0.209688i | \(-0.0672448\pi\) |
0.162026 | + | 0.986786i | \(0.448197\pi\) | |||||||
\(522\) | 4.77876e6 | + | 8.27705e6i | 0.00147051 | + | 0.00254700i | ||||
\(523\) | −1.31836e9 | + | 2.28346e9i | −0.402975 | + | 0.697972i | −0.994083 | − | 0.108619i | \(-0.965357\pi\) |
0.591109 | + | 0.806592i | \(0.298690\pi\) | |||||||
\(524\) | 3.81520e8 | − | 1.83730e8i | 0.115840 | − | 0.0557855i | ||||
\(525\) | −3.47764e9 | − | 1.07271e9i | −1.04888 | − | 0.323538i | ||||
\(526\) | 6.31773e7 | + | 8.43042e8i | 0.0189283 | + | 0.252580i | ||||
\(527\) | −1.73654e7 | − | 7.60829e7i | −0.00516830 | − | 0.0226438i | ||||
\(528\) | −6.30759e7 | + | 1.60715e8i | −0.0186485 | + | 0.0475157i | ||||
\(529\) | 2.14505e8 | − | 2.86237e9i | 0.0630003 | − | 0.840681i | ||||
\(530\) | −3.74107e7 | + | 5.63876e6i | −0.0109152 | + | 0.00164520i | ||||
\(531\) | 3.75455e7 | + | 3.48371e7i | 0.0108824 | + | 0.0100974i | ||||
\(532\) | −1.05731e9 | − | 5.09172e8i | −0.304446 | − | 0.146614i | ||||
\(533\) | −1.69119e9 | + | 1.15304e9i | −0.483780 | + | 0.329836i | ||||
\(534\) | −2.50524e8 | − | 6.38325e8i | −0.0711959 | − | 0.181404i | ||||
\(535\) | −1.25664e9 | + | 3.87622e8i | −0.354791 | + | 0.109439i | ||||
\(536\) | −9.29340e7 | + | 8.62302e7i | −0.0260674 | + | 0.0241870i | ||||
\(537\) | 2.15720e9 | − | 2.70505e9i | 0.601148 | − | 0.753815i | ||||
\(538\) | 1.27494e8 | − | 1.59873e8i | 0.0352982 | − | 0.0442625i | ||||
\(539\) | −9.38963e7 | + | 8.71231e7i | −0.0258278 | + | 0.0239647i | ||||
\(540\) | −1.22408e9 | + | 3.77578e8i | −0.334527 | + | 0.103188i | ||||
\(541\) | 9.11362e8 | + | 2.32211e9i | 0.247457 | + | 0.630511i | 0.999594 | − | 0.0284961i | \(-0.00907183\pi\) |
−0.752136 | + | 0.659007i | \(0.770977\pi\) | |||||||
\(542\) | −2.99008e8 | + | 2.03860e8i | −0.0806650 | + | 0.0549965i | ||||
\(543\) | −4.69325e8 | − | 2.26015e8i | −0.125798 | − | 0.0605812i | ||||
\(544\) | 6.63014e8 | + | 6.15187e8i | 0.176574 | + | 0.163837i | ||||
\(545\) | −1.13993e8 | + | 1.71816e7i | −0.0301640 | + | 0.00454650i | ||||
\(546\) | 2.40415e7 | − | 3.20811e8i | 0.00632101 | − | 0.0843481i | ||||
\(547\) | −5.85503e8 | + | 1.49184e9i | −0.152958 | + | 0.389732i | −0.986728 | − | 0.162381i | \(-0.948083\pi\) |
0.833770 | + | 0.552112i | \(0.186178\pi\) | |||||||
\(548\) | 7.06408e8 | + | 3.09498e9i | 0.183368 | + | 0.803388i | ||||
\(549\) | −8.58000e6 | − | 1.14492e8i | −0.00221301 | − | 0.0295306i | ||||
\(550\) | 3.24797e7 | + | 1.00187e7i | 0.00832421 | + | 0.00256768i | ||||
\(551\) | 7.18879e8 | − | 3.46194e8i | 0.183073 | − | 0.0881635i | ||||
\(552\) | −9.17470e8 | + | 1.58910e9i | −0.232169 | + | 0.402129i | ||||
\(553\) | 1.37837e9 | + | 2.38742e9i | 0.346601 | + | 0.600330i | ||||
\(554\) | 5.81369e8 | + | 3.96370e8i | 0.145267 | + | 0.0990415i | ||||
\(555\) | −4.20393e8 | + | 1.84186e9i | −0.104383 | + | 0.457332i | ||||
\(556\) | −3.03478e9 | − | 4.57420e8i | −0.748799 | − | 0.112863i | ||||
\(557\) | −3.67625e8 | − | 4.60987e8i | −0.0901388 | − | 0.113030i | 0.734717 | − | 0.678374i | \(-0.237315\pi\) |
−0.824856 | + | 0.565344i | \(0.808744\pi\) | |||||||
\(558\) | 793282. | 0.000193289 | ||||||||
\(559\) | −3.82950e8 | − | 1.53305e9i | −0.0927259 | − | 0.371205i | ||||
\(560\) | −1.71673e9 | −0.413088 | ||||||||
\(561\) | −6.98106e7 | − | 8.75397e7i | −0.0166936 | − | 0.0209332i | ||||
\(562\) | 1.28528e9 | + | 1.93726e8i | 0.305437 | + | 0.0460373i | ||||
\(563\) | 6.38206e8 | − | 2.79616e9i | 0.150724 | − | 0.660364i | −0.841952 | − | 0.539553i | \(-0.818593\pi\) |
0.992676 | − | 0.120811i | \(-0.0385495\pi\) | |||||||
\(564\) | 3.71564e9 | + | 2.53328e9i | 0.872080 | + | 0.594574i | ||||
\(565\) | −1.21934e8 | − | 2.11196e8i | −0.0284416 | − | 0.0492624i | ||||
\(566\) | −6.48821e8 | + | 1.12379e9i | −0.150407 | + | 0.260512i | ||||
\(567\) | −4.86240e9 | + | 2.34161e9i | −1.12024 | + | 0.539478i | ||||
\(568\) | −3.78999e8 | − | 1.16906e8i | −0.0867799 | − | 0.0267681i | ||||
\(569\) | 4.59158e8 | + | 6.12703e9i | 0.104489 | + | 1.39430i | 0.765262 | + | 0.643718i | \(0.222609\pi\) |
−0.660774 | + | 0.750585i | \(0.729772\pi\) | |||||||
\(570\) | −1.67283e7 | − | 7.32914e7i | −0.00378346 | − | 0.0165764i | ||||
\(571\) | 5.75497e8 | − | 1.46634e9i | 0.129365 | − | 0.329616i | −0.851486 | − | 0.524378i | \(-0.824298\pi\) |
0.980851 | + | 0.194761i | \(0.0623932\pi\) | |||||||
\(572\) | 7.04972e6 | − | 9.40720e7i | 0.00157502 | − | 0.0210172i | ||||
\(573\) | −2.54980e9 | + | 3.84321e8i | −0.566194 | + | 0.0853400i | ||||
\(574\) | −1.13658e9 | − | 1.05460e9i | −0.250848 | − | 0.232752i | ||||
\(575\) | −4.86400e9 | − | 2.34238e9i | −1.06698 | − | 0.513831i | ||||
\(576\) | 7.00905e7 | − | 4.77869e7i | 0.0152820 | − | 0.0104191i | ||||
\(577\) | 2.89963e9 | + | 7.38813e9i | 0.628387 | + | 1.60110i | 0.789212 | + | 0.614121i | \(0.210489\pi\) |
−0.160825 | + | 0.986983i | \(0.551416\pi\) | |||||||
\(578\) | 6.02464e8 | − | 1.85836e8i | 0.129773 | − | 0.0400296i | ||||
\(579\) | −5.73637e9 | + | 5.32257e9i | −1.22818 | + | 1.13958i | ||||
\(580\) | 7.52485e8 | − | 9.43587e8i | 0.160140 | − | 0.200809i | ||||
\(581\) | 2.49353e9 | − | 3.12678e9i | 0.527470 | − | 0.661426i | ||||
\(582\) | 8.84835e8 | − | 8.21007e8i | 0.186051 | − | 0.172630i | ||||
\(583\) | −4.56944e7 | + | 1.40949e7i | −0.00955044 | + | 0.00294592i | ||||
\(584\) | 4.49154e8 | + | 1.14443e9i | 0.0933147 | + | 0.237762i | ||||
\(585\) | 1.23443e7 | − | 8.41622e6i | 0.00254930 | − | 0.00173809i | ||||
\(586\) | −5.60280e8 | − | 2.69817e8i | −0.115017 | − | 0.0553895i | ||||
\(587\) | 1.43518e8 | + | 1.33165e8i | 0.0292868 | + | 0.0271742i | 0.694680 | − | 0.719318i | \(-0.255546\pi\) |
−0.665394 | + | 0.746493i | \(0.731736\pi\) | |||||||
\(588\) | −2.89516e9 | + | 4.36375e8i | −0.587289 | + | 0.0885196i | ||||
\(589\) | 4.94907e6 | − | 6.60408e7i | 0.000997976 | − | 0.0133171i | ||||
\(590\) | −7.52595e7 | + | 1.91758e8i | −0.0150862 | + | 0.0384389i | ||||
\(591\) | 9.42842e8 | + | 4.13086e9i | 0.187881 | + | 0.823160i | ||||
\(592\) | −4.55032e8 | − | 6.07198e9i | −0.0901397 | − | 1.20283i | ||||
\(593\) | 6.69250e9 | + | 2.06436e9i | 1.31794 | + | 0.406532i | 0.872428 | − | 0.488742i | \(-0.162544\pi\) |
0.445516 | + | 0.895274i | \(0.353020\pi\) | |||||||
\(594\) | 4.64620e7 | − | 2.23749e7i | 0.00909588 | − | 0.00438035i | ||||
\(595\) | 5.56670e8 | − | 9.64181e8i | 0.108340 | − | 0.187650i | ||||
\(596\) | −3.95168e9 | − | 6.84451e9i | −0.764575 | − | 1.32428i | ||||
\(597\) | 1.84619e9 | + | 1.25871e9i | 0.355112 | + | 0.242111i | ||||
\(598\) | 1.06194e8 | − | 4.65266e8i | 0.0203070 | − | 0.0889707i | ||||
\(599\) | 4.02851e9 | + | 6.07201e8i | 0.765863 | + | 0.115435i | 0.520344 | − | 0.853957i | \(-0.325804\pi\) |
0.245519 | + | 0.969392i | \(0.421042\pi\) | |||||||
\(600\) | 9.84252e8 | + | 1.23421e9i | 0.186027 | + | 0.233271i | ||||
\(601\) | −4.40827e9 | −0.828338 | −0.414169 | − | 0.910200i | \(-0.635928\pi\) | ||||
−0.414169 | + | 0.910200i | \(0.635928\pi\) | |||||||
\(602\) | 1.06761e9 | − | 5.41217e8i | 0.199446 | − | 0.101108i | ||||
\(603\) | −1.24899e7 | −0.00231979 | ||||||||
\(604\) | 2.39489e9 | + | 3.00310e9i | 0.442238 | + | 0.554549i | ||||
\(605\) | 1.91827e9 | + | 2.89132e8i | 0.352180 | + | 0.0530827i | ||||
\(606\) | −8.56209e7 | + | 3.75129e8i | −0.0156288 | + | 0.0684742i | ||||
\(607\) | 2.98941e9 | + | 2.03814e9i | 0.542531 | + | 0.369891i | 0.803360 | − | 0.595494i | \(-0.203044\pi\) |
−0.260829 | + | 0.965385i | \(0.583996\pi\) | |||||||
\(608\) | 3.83771e8 | + | 6.64711e8i | 0.0692484 | + | 0.119942i | ||||
\(609\) | 2.60108e9 | − | 4.50520e9i | 0.466651 | − | 0.808264i | ||||
\(610\) | 4.16046e8 | − | 2.00357e8i | 0.0742142 | − | 0.0357397i | ||||
\(611\) | −2.27086e9 | − | 7.00467e8i | −0.402760 | − | 0.124235i | ||||
\(612\) | 4.41619e6 | + | 5.89299e7i | 0.000778785 | + | 0.0103922i | ||||
\(613\) | −3.92701e8 | − | 1.72054e9i | −0.0688574 | − | 0.301684i | 0.928759 | − | 0.370683i | \(-0.120876\pi\) |
−0.997617 | + | 0.0689995i | \(0.978019\pi\) | |||||||
\(614\) | 7.08308e8 | − | 1.80474e9i | 0.123490 | − | 0.314648i | ||||
\(615\) | −2.33042e8 | + | 3.10973e9i | −0.0403991 | + | 0.539089i | ||||
\(616\) | 1.43572e8 | − | 2.16400e7i | 0.0247478 | − | 0.00373014i | ||||
\(617\) | −1.51815e9 | − | 1.40864e9i | −0.260206 | − | 0.241436i | 0.539271 | − | 0.842132i | \(-0.318700\pi\) |
−0.799477 | + | 0.600696i | \(0.794890\pi\) | |||||||
\(618\) | 5.32228e8 | + | 2.56308e8i | 0.0907064 | + | 0.0436819i | ||||
\(619\) | 5.40265e9 | − | 3.68347e9i | 0.915566 | − | 0.624222i | −0.0111691 | − | 0.999938i | \(-0.503555\pi\) |
0.926735 | + | 0.375715i | \(0.122603\pi\) | |||||||
\(620\) | −3.65973e7 | − | 9.32484e7i | −0.00616706 | − | 0.0157134i | ||||
\(621\) | −7.82685e9 | + | 2.41426e9i | −1.31149 | + | 0.404543i | ||||
\(622\) | −6.74242e8 | + | 6.25605e8i | −0.112344 | + | 0.104240i | ||||
\(623\) | 5.37331e9 | − | 6.73792e9i | 0.890295 | − | 1.11639i | ||||
\(624\) | 1.30026e9 | − | 1.63047e9i | 0.214232 | − | 0.268638i | ||||
\(625\) | −2.83343e9 | + | 2.62904e9i | −0.464229 | + | 0.430742i | ||||
\(626\) | −2.63672e8 | + | 8.13321e7i | −0.0429590 | + | 0.0132511i | ||||
\(627\) | −3.47140e7 | − | 8.84498e7i | −0.00562429 | − | 0.0143305i | ||||
\(628\) | −5.66551e9 | + | 3.86268e9i | −0.912809 | + | 0.622343i | ||||
\(629\) | 3.55782e9 | + | 1.71335e9i | 0.570041 | + | 0.274517i | ||||
\(630\) | 8.29613e6 | + | 7.69768e6i | 0.00132185 | + | 0.00122650i | ||||
\(631\) | −9.86262e9 | + | 1.48655e9i | −1.56275 | + | 0.235547i | −0.872715 | − | 0.488229i | \(-0.837643\pi\) |
−0.690035 | + | 0.723776i | \(0.742405\pi\) | |||||||
\(632\) | 8.93612e7 | − | 1.19244e9i | 0.0140812 | − | 0.187900i | ||||
\(633\) | −7.68481e8 | + | 1.95806e9i | −0.120426 | + | 0.306840i | ||||
\(634\) | −4.23520e8 | − | 1.85556e9i | −0.0660026 | − | 0.289176i | ||||
\(635\) | 5.32285e7 | + | 7.10285e8i | 0.00824966 | + | 0.110084i | ||||
\(636\) | −1.04448e9 | − | 3.22179e8i | −0.160990 | − | 0.0496590i | ||||
\(637\) | 1.39399e9 | − | 6.71309e8i | 0.213684 | − | 0.102905i | ||||
\(638\) | −2.42930e7 | + | 4.20767e7i | −0.00370347 | + | 0.00641459i | ||||
\(639\) | −1.95372e7 | − | 3.38395e7i | −0.00296217 | − | 0.00513063i | ||||
\(640\) | 1.27170e9 | + | 8.67031e8i | 0.191759 | + | 0.130739i | ||||
\(641\) | −1.30104e9 | + | 5.70023e9i | −0.195114 | + | 0.854849i | 0.778681 | + | 0.627420i | \(0.215889\pi\) |
−0.973795 | + | 0.227429i | \(0.926968\pi\) | |||||||
\(642\) | 1.19660e9 | + | 1.80358e8i | 0.178474 | + | 0.0269006i | ||||
\(643\) | 3.54305e9 | + | 4.44285e9i | 0.525580 | + | 0.659057i | 0.971783 | − | 0.235875i | \(-0.0757956\pi\) |
−0.446203 | + | 0.894932i | \(0.647224\pi\) | |||||||
\(644\) | −1.13499e10 | −1.67452 | ||||||||
\(645\) | −2.18985e9 | − | 1.00010e9i | −0.321333 | − | 0.146752i | ||||
\(646\) | −1.57134e8 | −0.0229327 | ||||||||
\(647\) | −7.35748e8 | − | 9.22599e8i | −0.106798 | − | 0.133921i | 0.725560 | − | 0.688159i | \(-0.241581\pi\) |
−0.832358 | + | 0.554238i | \(0.813010\pi\) | |||||||
\(648\) | 2.31483e9 | + | 3.48905e8i | 0.334200 | + | 0.0503726i | ||||
\(649\) | −5.79374e7 | + | 2.53840e8i | −0.00831960 | + | 0.0364506i | ||||
\(650\) | −3.39226e8 | − | 2.31281e8i | −0.0484499 | − | 0.0330326i | ||||
\(651\) | −2.15891e8 | − | 3.73935e8i | −0.0306692 | − | 0.0531205i | ||||
\(652\) | −2.52056e9 | + | 4.36574e9i | −0.356149 | + | 0.616867i | ||||
\(653\) | 1.15714e10 | − | 5.57250e9i | 1.62626 | − | 0.783166i | 0.626268 | − | 0.779608i | \(-0.284582\pi\) |
0.999994 | − | 0.00355792i | \(-0.00113252\pi\) | |||||||
\(654\) | 1.01367e8 | + | 3.12676e7i | 0.0141702 | + | 0.00437092i | ||||
\(655\) | 2.54773e7 | + | 3.39971e8i | 0.00354249 | + | 0.0472713i | ||||
\(656\) | −2.23652e9 | − | 9.79883e9i | −0.309321 | − | 1.35522i | ||||
\(657\) | −4.42501e7 | + | 1.12747e8i | −0.00608745 | + | 0.0155106i | ||||
\(658\) | 1.34524e8 | − | 1.79510e9i | 0.0184082 | − | 0.245640i | ||||
\(659\) | 1.40828e10 | − | 2.12264e9i | 1.91685 | − | 0.288919i | 0.921753 | − | 0.387777i | \(-0.126757\pi\) |
0.995102 | + | 0.0988576i | \(0.0315188\pi\) | |||||||
\(660\) | −1.05357e8 | − | 9.77569e7i | −0.0142646 | − | 0.0132356i | ||||
\(661\) | −4.13094e9 | − | 1.98936e9i | −0.556345 | − | 0.267922i | 0.134513 | − | 0.990912i | \(-0.457053\pi\) |
−0.690858 | + | 0.722990i | \(0.742767\pi\) | |||||||
\(662\) | −7.28293e8 | + | 4.96542e8i | −0.0975671 | + | 0.0665201i | ||||
\(663\) | 4.94112e8 | + | 1.25898e9i | 0.0658458 | + | 0.167772i | ||||
\(664\) | −1.65769e9 | + | 5.11331e8i | −0.219744 | + | 0.0677819i | ||||
\(665\) | 6.92591e8 | − | 6.42630e8i | 0.0913273 | − | 0.0847394i | ||||
\(666\) | −2.50274e7 | + | 3.13834e7i | −0.00328289 | + | 0.00411661i | ||||
\(667\) | 4.81145e9 | − | 6.03336e9i | 0.627820 | − | 0.787262i | ||||
\(668\) | −2.46024e9 | + | 2.28277e9i | −0.319345 | + | 0.296308i | ||||
\(669\) | 7.89897e9 | − | 2.43651e9i | 1.01995 | − | 0.314613i | ||||
\(670\) | −1.83526e7 | − | 4.67616e7i | −0.00235741 | − | 0.00600659i | ||||
\(671\) | 4.82239e8 | − | 3.28785e8i | 0.0616217 | − | 0.0420130i | ||||
\(672\) | 4.50867e9 | + | 2.17126e9i | 0.573134 | + | 0.276007i | ||||
\(673\) | −8.50168e9 | − | 7.88840e9i | −1.07511 | − | 0.997554i | −1.00000 | 0.000378362i | \(-0.999880\pi\) | |
−0.0751074 | − | 0.997175i | \(-0.523930\pi\) | |||||||
\(674\) | −2.31173e9 | + | 3.48437e8i | −0.290822 | + | 0.0438343i | ||||
\(675\) | −5.26592e8 | + | 7.02688e9i | −0.0659038 | + | 0.879426i | ||||
\(676\) | 2.42747e9 | − | 6.18509e9i | 0.302232 | − | 0.770075i | ||||
\(677\) | −2.21190e9 | − | 9.69098e9i | −0.273972 | − | 1.20035i | −0.905280 | − | 0.424816i | \(-0.860339\pi\) |
0.631308 | − | 0.775532i | \(-0.282518\pi\) | |||||||
\(678\) | 1.67698e7 | + | 2.23778e8i | 0.00206645 | + | 0.0275748i | ||||
\(679\) | 1.44962e10 | + | 4.47147e9i | 1.77709 | + | 0.548159i | ||||
\(680\) | −4.35105e8 | + | 2.09535e8i | −0.0530655 | + | 0.0255550i | ||||
\(681\) | 6.43833e9 | − | 1.11515e10i | 0.781193 | − | 1.35307i | ||||
\(682\) | 2.01634e6 | + | 3.49240e6i | 0.000243398 | + | 0.000421578i | ||||
\(683\) | 6.39817e7 | + | 4.36220e7i | 0.00768393 | + | 0.00523881i | 0.567156 | − | 0.823610i | \(-0.308044\pi\) |
−0.559472 | + | 0.828849i | \(0.688996\pi\) | |||||||
\(684\) | −1.11593e7 | + | 4.88921e7i | −0.00133334 | + | 0.00584174i | ||||
\(685\) | −2.52730e9 | − | 3.80930e8i | −0.300428 | − | 0.0452822i | ||||
\(686\) | −4.48107e8 | − | 5.61908e8i | −0.0529965 | − | 0.0664555i | ||||
\(687\) | −1.58712e10 | −1.86750 | ||||||||
\(688\) | 7.69445e9 | + | 9.99781e8i | 0.900778 | + | 0.117043i | ||||
\(689\) | 5.77610e8 | 0.0672772 | ||||||||
\(690\) | −4.53325e8 | − | 5.68452e8i | −0.0525337 | − | 0.0658752i | ||||
\(691\) | −3.84972e9 | − | 5.80251e8i | −0.443870 | − | 0.0669026i | −0.0766950 | − | 0.997055i | \(-0.524437\pi\) |
−0.367175 | + | 0.930152i | \(0.619675\pi\) | |||||||
\(692\) | 3.05096e9 | − | 1.33671e10i | 0.349998 | − | 1.53344i | ||||
\(693\) | 1.18188e7 | + | 8.05790e6i | 0.00134898 | + | 0.000919719i | ||||
\(694\) | 3.70033e8 | + | 6.40915e8i | 0.0420225 | + | 0.0727851i | ||||
\(695\) | 1.23545e9 | − | 2.13987e9i | 0.139598 | − | 0.241791i | ||||
\(696\) | −2.03305e9 | + | 9.79067e8i | −0.228569 | + | 0.110073i | ||||
\(697\) | 6.22863e9 | + | 1.92128e9i | 0.696751 | + | 0.214919i | ||||
\(698\) | 8.92568e7 | + | 1.19105e9i | 0.00993453 | + | 0.132567i | ||||
\(699\) | −2.13542e9 | − | 9.35587e9i | −0.236490 | − | 1.03613i | ||||
\(700\) | −3.56734e9 | + | 9.08944e9i | −0.393099 | + | 1.00160i | ||||
\(701\) | 1.38051e8 | − | 1.84217e9i | 0.0151366 | − | 0.201984i | −0.984508 | − | 0.175338i | \(-0.943898\pi\) |
0.999645 | − | 0.0266459i | \(-0.00848267\pi\) | |||||||
\(702\) | −6.15949e8 | + | 9.28394e7i | −0.0671994 | + | 0.0101287i | ||||
\(703\) | 2.45653e9 | + | 2.27933e9i | 0.266673 | + | 0.247436i | ||||
\(704\) | 3.88534e8 | + | 1.87108e8i | 0.0419686 | + | 0.0202110i | ||||
\(705\) | −2.99146e9 | + | 2.03955e9i | −0.321530 | + | 0.219216i | ||||
\(706\) | 2.23969e8 | + | 5.70663e8i | 0.0239536 | + | 0.0610328i | ||||
\(707\) | −4.62098e9 | + | 1.42538e9i | −0.491775 | + | 0.151692i | ||||
\(708\) | −4.36274e9 | + | 4.04803e9i | −0.462001 | + | 0.428675i | ||||
\(709\) | 3.73947e9 | − | 4.68915e9i | 0.394048 | − | 0.494120i | −0.544746 | − | 0.838601i | \(-0.683374\pi\) |
0.938793 | + | 0.344481i | \(0.111945\pi\) | |||||||
\(710\) | 9.79857e7 | − | 1.22870e8i | 0.0102744 | − | 0.0128837i | ||||
\(711\) | 8.63588e7 | − | 8.01293e7i | 0.00901080 | − | 0.00836080i | ||||
\(712\) | −3.57217e9 | + | 1.10187e9i | −0.370896 | + | 0.114406i | ||||
\(713\) | −2.34006e8 | − | 5.96238e8i | −0.0241776 | − | 0.0616036i | ||||
\(714\) | −8.46471e8 | + | 5.77114e8i | −0.0870299 | + | 0.0593360i | ||||
\(715\) | 6.84285e7 | + | 3.29534e7i | 0.00700109 | + | 0.00337155i | ||||
\(716\) | −6.80491e9 | − | 6.31403e9i | −0.692830 | − | 0.642852i | ||||
\(717\) | −2.52105e9 | + | 3.79988e8i | −0.255426 | + | 0.0384993i | ||||
\(718\) | −1.16933e8 | + | 1.56036e9i | −0.0117896 | + | 0.157322i | ||||
\(719\) | −4.80739e9 | + | 1.22490e10i | −0.482346 | + | 1.22900i | 0.458053 | + | 0.888925i | \(0.348547\pi\) |
−0.940399 | + | 0.340072i | \(0.889548\pi\) | |||||||
\(720\) | 1.63248e7 | + | 7.15234e7i | 0.00162998 | + | 0.00714142i | ||||
\(721\) | 5.54811e8 | + | 7.40344e9i | 0.0551279 | + | 0.735631i | ||||
\(722\) | 1.57041e9 | + | 4.84406e8i | 0.155286 | + | 0.0478993i | ||||
\(723\) | −2.19289e9 | + | 1.05604e9i | −0.215791 | + | 0.103919i | ||||
\(724\) | −6.98810e8 | + | 1.21038e9i | −0.0684344 | + | 0.118532i | ||||
\(725\) | −3.31949e9 | − | 5.74952e9i | −0.323510 | − | 0.560337i | ||||
\(726\) | −1.47493e9 | − | 1.00559e9i | −0.143052 | − | 0.0975310i | ||||
\(727\) | −3.48877e9 | + | 1.52853e10i | −0.336746 | + | 1.47538i | 0.469042 | + | 0.883176i | \(0.344599\pi\) |
−0.805788 | + | 0.592205i | \(0.798258\pi\) | |||||||
\(728\) | −1.73422e9 | − | 2.61392e8i | −0.166589 | − | 0.0251092i | ||||
\(729\) | 6.66240e9 | + | 8.35438e9i | 0.636919 | + | 0.798671i | ||||
\(730\) | −4.87142e8 | −0.0463474 | ||||||||
\(731\) | −3.05654e9 | + | 3.99731e9i | −0.289414 | + | 0.378493i | ||||
\(732\) | 1.33412e10 | 1.25720 | ||||||||
\(733\) | −3.17396e9 | − | 3.98002e9i | −0.297672 | − | 0.373269i | 0.610393 | − | 0.792099i | \(-0.291012\pi\) |
−0.908065 | + | 0.418830i | \(0.862440\pi\) | |||||||
\(734\) | −1.43821e9 | − | 2.16775e8i | −0.134241 | − | 0.0202336i | ||||
\(735\) | 5.24532e8 | − | 2.29812e9i | 0.0487266 | − | 0.213485i | ||||
\(736\) | 6.13349e9 | + | 4.18174e9i | 0.567068 | + | 0.386621i | ||||
\(737\) | −3.17464e7 | − | 5.49864e7i | −0.00292118 | − | 0.00505963i | ||||
\(738\) | −3.31292e7 | + | 5.73815e7i | −0.00303399 | + | 0.00525503i | ||||
\(739\) | −5.04914e9 | + | 2.43154e9i | −0.460216 | + | 0.221628i | −0.649602 | − | 0.760274i | \(-0.725065\pi\) |
0.189386 | + | 0.981903i | \(0.439350\pi\) | |||||||
\(740\) | 4.84366e9 | + | 1.49407e9i | 0.439403 | + | 0.135538i | ||||
\(741\) | 8.57703e7 | + | 1.14452e9i | 0.00774414 | + | 0.103338i | ||||
\(742\) | 9.73610e7 | + | 4.26566e8i | 0.00874926 | + | 0.0383330i | ||||
\(743\) | −2.29636e9 | + | 5.85102e9i | −0.205390 | + | 0.523324i | −0.996036 | − | 0.0889485i | \(-0.971649\pi\) |
0.790647 | + | 0.612273i | \(0.209745\pi\) | |||||||
\(744\) | −1.39964e7 | + | 1.86769e8i | −0.00124598 | + | 0.0166265i | ||||
\(745\) | 6.29194e9 | − | 9.48357e8i | 0.557490 | − | 0.0840282i | ||||
\(746\) | 1.66016e8 | + | 1.54040e8i | 0.0146408 | + | 0.0135846i | ||||
\(747\) | −1.53982e8 | − | 7.41537e7i | −0.0135160 | − | 0.00650895i | ||||
\(748\) | −2.48212e8 | + | 1.69228e8i | −0.0216854 | + | 0.0147849i | ||||
\(749\) | 5.55630e9 | + | 1.41572e10i | 0.483169 | + | 1.23110i | ||||
\(750\) | −1.28293e9 | + | 3.95730e8i | −0.111042 | + | 0.0342519i | ||||
\(751\) | −1.55459e10 | + | 1.44245e10i | −1.33930 | + | 1.24269i | −0.392941 | + | 0.919564i | \(0.628542\pi\) |
−0.946357 | + | 0.323124i | \(0.895267\pi\) | |||||||
\(752\) | 7.27562e9 | − | 9.12334e9i | 0.623889 | − | 0.782332i | ||||
\(753\) | 1.19673e10 | − | 1.50065e10i | 1.02144 | − | 1.28085i | ||||
\(754\) | 4.30210e8 | − | 3.99177e8i | 0.0365495 | − | 0.0339129i | ||||
\(755\) | −2.95509e9 | + | 9.11524e8i | −0.249894 | + | 0.0770822i | ||||
\(756\) | 5.41233e9 | + | 1.37904e10i | 0.455573 | + | 1.16078i | ||||
\(757\) | −1.63308e10 | + | 1.11341e10i | −1.36827 | + | 0.932869i | −0.368273 | + | 0.929718i | \(0.620051\pi\) |
−0.999995 | + | 0.00315181i | \(0.998997\pi\) | |||||||
\(758\) | 3.74852e8 | + | 1.80519e8i | 0.0312620 | + | 0.0150550i | ||||
\(759\) | −6.73660e8 | − | 6.25065e8i | −0.0559235 | − | 0.0518895i | ||||
\(760\) | −4.05247e8 | + | 6.10812e7i | −0.0334867 | + | 0.00504731i | ||||
\(761\) | 1.13886e8 | − | 1.51971e9i | 0.00936754 | − | 0.125001i | −0.990559 | − | 0.137084i | \(-0.956227\pi\) |
0.999927 | + | 0.0120826i | \(0.00384610\pi\) | |||||||
\(762\) | 2.39456e8 | − | 6.10124e8i | 0.0196058 | − | 0.0499546i | ||||
\(763\) | 2.96665e8 | + | 1.29977e9i | 0.0241785 | + | 0.105933i | ||||
\(764\) | 5.17018e8 | + | 6.89913e9i | 0.0419449 | + | 0.559716i | ||||
\(765\) | −4.54639e7 | − | 1.40237e7i | −0.00367157 | − | 0.00113253i | ||||
\(766\) | 2.92436e9 | − | 1.40830e9i | 0.235088 | − | 0.113212i | ||||
\(767\) | 1.57251e9 | − | 2.72367e9i | 0.125837 | − | 0.217957i | ||||
\(768\) | 4.37745e9 | + | 7.58196e9i | 0.348704 | + | 0.603973i | ||||
\(769\) | −1.36723e10 | − | 9.32163e9i | −1.08418 | − | 0.739179i | −0.116961 | − | 0.993136i | \(-0.537315\pi\) |
−0.967215 | + | 0.253957i | \(0.918268\pi\) | |||||||
\(770\) | −1.28020e7 | + | 5.60892e7i | −0.00101055 | + | 0.00442753i | ||||
\(771\) | −1.19381e10 | − | 1.79937e9i | −0.938089 | − | 0.141394i | ||||
\(772\) | 1.30905e10 | + | 1.64150e10i | 1.02399 | + | 1.28405i | ||||
\(773\) | −7.87932e9 | −0.613565 | −0.306783 | − | 0.951780i | \(-0.599252\pi\) | ||||
−0.306783 | + | 0.951780i | \(0.599252\pi\) | |||||||
\(774\) | −3.27007e7 | − | 3.93329e7i | −0.00253492 | − | 0.00304903i | ||||
\(775\) | −5.51041e8 | −0.0425234 | ||||||||
\(776\) | −4.10274e9 | − | 5.14468e9i | −0.315180 | − | 0.395223i | ||||
\(777\) | 2.16046e10 | + | 3.25637e9i | 1.65224 | + | 0.249035i | ||||
\(778\) | 4.48715e8 | − | 1.96595e9i | 0.0341619 | − | 0.149673i | ||||
\(779\) | 4.57033e9 | + | 3.11600e9i | 0.346391 | + | 0.236166i | ||||
\(780\) | 8.68028e8 | + | 1.50347e9i | 0.0654942 | + | 0.113439i | ||||
\(781\) | 9.93182e7 | − | 1.72024e8i | 0.00746019 | − | 0.0129214i | ||||
\(782\) | −1.36924e9 | + | 6.59391e8i | −0.102390 | + | 0.0493082i | ||||
\(783\) | −9.62508e9 | − | 2.96894e9i | −0.716536 | − | 0.221022i | ||||
\(784\) | 5.67752e8 | + | 7.57613e9i | 0.0420778 | + | 0.561489i | ||||
\(785\) | −1.22844e9 | − | 5.38215e9i | −0.0906381 | − | 0.397111i | ||||
\(786\) | 1.14613e8 | − | 2.92030e8i | 0.00841892 | − | 0.0214511i | ||||
\(787\) | 1.65963e9 | − | 2.21462e10i | 0.121367 | − | 1.61953i | −0.521294 | − | 0.853377i | \(-0.674550\pi\) |
0.642661 | − | 0.766151i | \(-0.277830\pi\) | |||||||
\(788\) | 1.12413e10 | − | 1.69435e9i | 0.818416 | − | 0.123356i | ||||
\(789\) | −1.44149e10 | − | 1.33751e10i | −1.04482 | − | 0.969455i | ||||
\(790\) | 4.26896e8 | + | 2.05582e8i | 0.0308054 | + | 0.0148351i | ||||
\(791\) | −2.33024e9 | + | 1.58873e9i | −0.167410 | + | 0.114138i | ||||
\(792\) | −2.26684e6 | − | 5.77581e6i | −0.000162137 | − | 0.000413119i | ||||
\(793\) | −6.73684e9 | + | 2.07804e9i | −0.479734 | + | 0.147978i | ||||
\(794\) | −1.55144e9 | + | 1.43953e9i | −0.109993 | + | 0.102058i | ||||
\(795\) | 5.48676e8 | − | 6.88018e8i | 0.0387285 | − | 0.0485641i | ||||
\(796\) | 3.73788e9 | − | 4.68715e9i | 0.262681 | − | 0.329392i | ||||
\(797\) | −2.27177e9 | + | 2.10790e9i | −0.158950 | + | 0.147484i | −0.755639 | − | 0.654989i | \(-0.772673\pi\) |
0.596688 | + | 0.802473i | \(0.296483\pi\) | |||||||
\(798\) | −8.30777e8 | + | 2.56261e8i | −0.0578728 | + | 0.0178514i | ||||
\(799\) | 2.76481e9 | + | 7.04463e9i | 0.191757 | + | 0.488590i | ||||
\(800\) | 5.27670e9 | − | 3.59760e9i | 0.364374 | − | 0.248426i | ||||
\(801\) | −3.31816e8 | − | 1.59794e8i | −0.0228131 | − | 0.0109862i | ||||
\(802\) | 3.19738e9 | + | 2.96673e9i | 0.218869 | + | 0.203080i | ||||
\(803\) | −6.08840e8 | + | 9.17678e7i | −0.0414953 | + | 0.00625440i | ||||
\(804\) | 1.08457e8 | − | 1.44725e9i | 0.00735970 | − | 0.0982084i | ||||
\(805\) | 3.33842e9 | − | 8.50615e9i | 0.225556 | − | 0.574708i | ||||
\(806\) | −1.08392e7 | − | 4.74898e7i | −0.000729166 | − | 0.00319469i | ||||
\(807\) | 3.55442e8 | + | 4.74305e9i | 0.0238074 | + | 0.317688i | ||||
\(808\) | 2.00443e9 | + | 6.18283e8i | 0.133675 | + | 0.0412333i | ||||
\(809\) | 2.39358e10 | − | 1.15269e10i | 1.58938 | − | 0.765405i | 0.590254 | − | 0.807218i | \(-0.299028\pi\) |
0.999125 | + | 0.0418133i | \(0.0133135\pi\) | |||||||
\(810\) | −4.63795e8 | + | 8.03316e8i | −0.0306640 | + | 0.0531115i | ||||
\(811\) | −7.24689e8 | − | 1.25520e9i | −0.0477066 | − | 0.0826303i | 0.841186 | − | 0.540746i | \(-0.181858\pi\) |
−0.888893 | + | 0.458116i | \(0.848525\pi\) | |||||||
\(812\) | −1.15323e10 | − | 7.86256e9i | −0.755907 | − | 0.515368i | ||||
\(813\) | 1.87310e9 | − | 8.20658e9i | 0.122249 | − | 0.535606i | ||||
\(814\) | −2.01778e8 | − | 3.04132e7i | −0.0131126 | − | 0.00197641i | ||||
\(815\) | −2.53051e9 | − | 3.17316e9i | −0.163740 | − | 0.205324i | ||||
\(816\) | −6.64112e9 | −0.427884 | ||||||||
\(817\) | −3.47848e9 | + | 2.47695e9i | −0.223158 | + | 0.158906i | ||||
\(818\) | 1.91127e9 | 0.122091 | ||||||||
\(819\) | −1.07729e8 | − | 1.35087e8i | −0.00685232 | − | 0.00859253i | ||||
\(820\) | 8.27346e9 | + | 1.24702e9i | 0.524009 | + | 0.0789816i | ||||
\(821\) | 4.66208e9 | − | 2.04259e10i | 0.294021 | − | 1.28819i | −0.584853 | − | 0.811139i | \(-0.698848\pi\) |
0.878875 | − | 0.477053i | \(-0.158295\pi\) | |||||||
\(822\) | 1.94321e9 | + | 1.32486e9i | 0.122030 | + | 0.0831989i | ||||
\(823\) | −9.70791e9 | − | 1.68146e10i | −0.607053 | − | 1.05145i | −0.991723 | − | 0.128392i | \(-0.959018\pi\) |
0.384671 | − | 0.923054i | \(-0.374315\pi\) | |||||||
\(824\) | 1.61018e9 | − | 2.78892e9i | 0.100261 | − | 0.173656i | ||||
\(825\) | −7.12313e8 | + | 3.43032e8i | −0.0441654 | + | 0.0212689i | ||||
\(826\) | 2.27649e9 | + | 7.02206e8i | 0.140552 | + | 0.0433545i | ||||
\(827\) | 9.72658e8 | + | 1.29792e10i | 0.0597986 | + | 0.797957i | 0.943809 | + | 0.330490i | \(0.107214\pi\) |
−0.884011 | + | 0.467467i | \(0.845167\pi\) | |||||||
\(828\) | 1.07929e8 | + | 4.72867e8i | 0.00660741 | + | 0.0289489i | ||||
\(829\) | −4.66273e9 | + | 1.18804e10i | −0.284249 | + | 0.724256i | 0.715424 | + | 0.698691i | \(0.246234\pi\) |
−0.999673 | + | 0.0255648i | \(0.991862\pi\) | |||||||
\(830\) | 5.13683e7 | − | 6.85462e8i | 0.00311833 | − | 0.0416112i | ||||
\(831\) | −1.61838e10 | + | 2.43932e9i | −0.978311 | + | 0.147457i | ||||
\(832\) | −3.81847e9 | − | 3.54302e9i | −0.229857 | − | 0.213276i | ||||
\(833\) | −4.43915e9 | − | 2.13778e9i | −0.266099 | − | 0.128146i | ||||
\(834\) | −1.87862e9 | + | 1.28082e9i | −0.112140 | + | 0.0764554i | ||||
\(835\) | −9.87169e8 | − | 2.51526e9i | −0.0586798 | − | 0.149514i | ||||
\(836\) | −2.43610e8 | + | 7.51438e7i | −0.0144203 | + | 0.00444806i | ||||
\(837\) | −6.12855e8 | + | 5.68646e8i | −0.0361259 | + | 0.0335199i | ||||
\(838\) | 1.03933e8 | − | 1.30328e8i | 0.00610098 | − | 0.00765039i | ||||
\(839\) | −7.45126e9 | + | 9.34358e9i | −0.435575 | + | 0.546193i | −0.950371 | − | 0.311119i | \(-0.899296\pi\) |
0.514796 | + | 0.857313i | \(0.327868\pi\) | |||||||
\(840\) | −1.95871e9 | + | 1.81741e9i | −0.114023 | + | 0.105798i | ||||
\(841\) | −7.41518e9 | + | 2.28728e9i | −0.429869 | + | 0.132597i | ||||
\(842\) | 1.05666e9 | + | 2.69234e9i | 0.0610021 | + | 0.155431i | ||||
\(843\) | −2.49802e10 | + | 1.70312e10i | −1.43615 | + | 0.979149i | ||||
\(844\) | 5.08475e9 | + | 2.44869e9i | 0.291120 | + | 0.140196i | ||||
\(845\) | 3.92140e9 | + | 3.63852e9i | 0.223585 | + | 0.207456i | ||||
\(846\) | −7.60681e7 | + | 1.14654e7i | −0.00431923 | + | 0.000651019i | ||||
\(847\) | 1.67657e9 | − | 2.23723e10i | 0.0948049 | − | 1.26508i | ||||
\(848\) | −1.03621e9 | + | 2.64022e9i | −0.0583528 | + | 0.148681i | ||||
\(849\) | −6.71643e9 | − | 2.94266e10i | −0.376671 | − | 1.65030i | ||||
\(850\) | 9.77058e7 | + | 1.30379e9i | 0.00545700 | + | 0.0728186i | ||||
\(851\) | 3.09707e10 | + | 9.55321e9i | 1.72265 | + | 0.531369i | ||||
\(852\) | 4.09077e9 | − | 1.97001e9i | 0.226603 | − | 0.109126i | ||||
\(853\) | 1.43637e10 | − | 2.48786e10i | 0.792399 | − | 1.37248i | −0.132079 | − | 0.991239i | \(-0.542165\pi\) |
0.924478 | − | 0.381236i | \(-0.124501\pi\) | |||||||
\(854\) | −2.67019e9 | − | 4.62490e9i | −0.146703 | − | 0.254097i | ||||
\(855\) | −3.33597e7 | − | 2.27443e7i | −0.00182533 | − | 0.00124449i | ||||
\(856\) | 1.46796e9 | − | 6.43155e9i | 0.0799937 | − | 0.350476i | ||||
\(857\) | 2.28558e10 | + | 3.44496e9i | 1.24040 | + | 0.186961i | 0.736284 | − | 0.676672i | \(-0.236579\pi\) |
0.504120 | + | 0.863633i | \(0.331817\pi\) | |||||||
\(858\) | −4.35748e7 | − | 5.46410e7i | −0.00235521 | − | 0.00295334i | ||||
\(859\) | −3.18456e10 | −1.71425 | −0.857123 | − | 0.515111i | \(-0.827751\pi\) | ||||
−0.857123 | + | 0.515111i | \(0.827751\pi\) | |||||||
\(860\) | −3.11487e9 | + | 5.65848e9i | −0.166992 | + | 0.303358i | ||||
\(861\) | 3.60645e10 | 1.92561 | ||||||||
\(862\) | 2.47573e9 | + | 3.10447e9i | 0.131652 | + | 0.165087i | ||||
\(863\) | 3.48758e10 | + | 5.25669e9i | 1.84708 | + | 0.278403i | 0.976801 | − | 0.214148i | \(-0.0686976\pi\) |
0.870283 | + | 0.492552i | \(0.163936\pi\) | |||||||
\(864\) | 2.15609e9 | − | 9.44646e9i | 0.113728 | − | 0.498277i | ||||
\(865\) | 9.12057e9 | + | 6.21830e9i | 0.479144 | + | 0.326675i | ||||
\(866\) | −1.24774e9 | − | 2.16115e9i | −0.0652848 | − | 0.113077i | ||||
\(867\) | −7.33246e9 | + | 1.27002e10i | −0.382105 | + | 0.661826i | ||||
\(868\) | −1.04376e9 | + | 5.02648e8i | −0.0541728 | + | 0.0260883i | ||||
\(869\) | 5.72271e8 | + | 1.76522e8i | 0.0295823 | + | 0.00912494i | ||||
\(870\) | −6.68180e7 | − | 8.91624e8i | −0.00344014 | − | 0.0459055i | ||||
\(871\) | 1.70660e8 | + | 7.47708e8i | 0.00875119 | + | 0.0383415i | ||||
\(872\) | 2.11276e8 | − | 5.38322e8i | 0.0107905 | − | 0.0274938i | ||||
\(873\) | 4.84462e7 | − | 6.46469e8i | 0.00246439 | − | 0.0328850i | ||||
\(874\) | −1.27528e9 | + | 1.92218e8i | −0.0646124 | + | 0.00973875i | ||||
\(875\) | −1.23690e10 | − | 1.14767e10i | −0.624174 | − | 0.579149i | ||||
\(876\) | −1.26802e10 | − | 6.10648e9i | −0.637328 | − | 0.306921i | ||||
\(877\) | 1.71897e10 | − | 1.17197e10i | 0.860537 | − | 0.586704i | −0.0506408 | − | 0.998717i | \(-0.516126\pi\) |
0.911178 | + | 0.412012i | \(0.135174\pi\) | |||||||
\(878\) | 2.27968e9 | + | 5.80852e9i | 0.113669 | + | 0.289624i | ||||
\(879\) | 1.38220e10 | − | 4.26353e9i | 0.686453 | − | 0.211743i | ||||
\(880\) | −2.73386e8 | + | 2.53665e8i | −0.0135234 | + | 0.0125479i | ||||
\(881\) | −1.88645e10 | + | 2.36553e10i | −0.929457 | + | 1.16550i | 0.0564838 | + | 0.998404i | \(0.482011\pi\) |
−0.985940 | + | 0.167098i | \(0.946560\pi\) | |||||||
\(882\) | 3.12272e7 | − | 3.91576e7i | 0.00153247 | − | 0.00192166i | ||||
\(883\) | −1.87960e10 | + | 1.74401e10i | −0.918762 | + | 0.852486i | −0.989430 | − | 0.145014i | \(-0.953677\pi\) |
0.0706680 | + | 0.997500i | \(0.477487\pi\) | |||||||
\(884\) | 3.46750e9 | − | 1.06958e9i | 0.168824 | − | 0.0520753i | ||||
\(885\) | −1.75055e9 | − | 4.46032e9i | −0.0848931 | − | 0.216304i | ||||
\(886\) | 4.93106e9 | − | 3.36194e9i | 0.238189 | − | 0.162395i | ||||
\(887\) | −1.60845e9 | − | 7.74588e8i | −0.0773882 | − | 0.0372682i | 0.394789 | − | 0.918772i | \(-0.370818\pi\) |
−0.472178 | + | 0.881503i | \(0.656532\pi\) | |||||||
\(888\) | −6.94729e9 | − | 6.44614e9i | −0.332943 | − | 0.308926i | ||||
\(889\) | 8.14537e9 | − | 1.22772e9i | 0.388825 | − | 0.0586060i | ||||
\(890\) | 1.10694e8 | − | 1.47710e9i | 0.00526330 | − | 0.0702338i | ||||
\(891\) | −4.28331e8 | + | 1.09137e9i | −0.0202865 | + | 0.0516892i | ||||
\(892\) | −4.93518e9 | − | 2.16224e10i | −0.232823 | − | 1.02006i | ||||
\(893\) | 4.79929e8 | + | 6.40421e9i | 0.0225526 | + | 0.300944i | ||||
\(894\) | −5.59506e9 | − | 1.72585e9i | −0.261893 | − | 0.0807832i | ||||
\(895\) | 6.73361e9 | − | 3.24273e9i | 0.313955 | − | 0.151193i | ||||
\(896\) | 8.89999e9 | − | 1.54152e10i | 0.413344 | − | 0.715933i | ||||
\(897\) | 5.55024e9 | + | 9.61329e9i | 0.256766 | + | 0.444732i | ||||
\(898\) | 6.21400e7 | + | 4.23663e7i | 0.00286354 | + | 0.00195233i | ||||
\(899\) | 1.75274e8 | − | 7.67924e8i | 0.00804559 | − | 0.0352500i | ||||
\(900\) | 4.12613e8 | + | 6.21915e7i | 0.0188666 | + | 0.00284369i | ||||
\(901\) | −1.14685e9 | − | 1.43810e9i | −0.0522358 | − | 0.0655017i | ||||
\(902\) | −3.36827e8 | −0.0152821 | ||||||||
\(903\) | −9.64113e9 | + | 2.61188e10i | −0.435733 | + | 1.18045i | ||||
\(904\) | 1.22335e9 | 0.0550758 | ||||||||
\(905\) | −7.01567e8 | − | 8.79737e8i | −0.0314629 | − | 0.0394533i | ||||
\(906\) | 2.81389e9 | + | 4.24126e8i | 0.125707 | + | 0.0189472i | ||||
\(907\) | 3.73937e9 | − | 1.63833e10i | 0.166408 | − | 0.729079i | −0.821006 | − | 0.570920i | \(-0.806587\pi\) |
0.987414 | − | 0.158160i | \(-0.0505560\pi\) | |||||||
\(908\) | −2.85453e10 | − | 1.94618e10i | −1.26542 | − | 0.862747i | ||||
\(909\) | 1.03327e8 | + | 1.78968e8i | 0.00456290 | + | 0.00790318i | ||||
\(910\) | 3.47466e8 | − | 6.01828e8i | 0.0152850 | − | 0.0264745i | ||||
\(911\) | −9.58647e9 | + | 4.61660e9i | −0.420092 | + | 0.202306i | −0.631974 | − | 0.774990i | \(-0.717755\pi\) |
0.211882 | + | 0.977295i | \(0.432041\pi\) | |||||||
\(912\) | −5.38541e9 | − | 1.66118e9i | −0.235092 | − | 0.0725162i | ||||
\(913\) | −6.49263e7 | − | 8.66381e8i | −0.00282340 | − | 0.0376757i | ||||
\(914\) | 9.64171e7 | + | 4.22431e8i | 0.00417679 | + | 0.0182997i | ||||
\(915\) | −3.92412e9 | + | 9.99850e9i | −0.169344 | + | 0.431480i | ||||
\(916\) | −3.18222e9 | + | 4.24638e10i | −0.136803 | + | 1.82551i | ||||
\(917\) | 3.89870e9 | − | 5.87635e8i | 0.166966 | − | 0.0251661i | ||||
\(918\) | 1.45412e9 | + | 1.34922e9i | 0.0620368 | + | 0.0575617i | ||||
\(919\) | −2.71641e10 | − | 1.30816e10i | −1.15449 | − | 0.555975i | −0.244113 | − | 0.969747i | \(-0.578497\pi\) |
−0.910381 | + | 0.413772i | \(0.864211\pi\) | |||||||
\(920\) | −3.27494e9 | + | 2.23282e9i | −0.138658 | + | 0.0945357i | ||||
\(921\) | 1.64754e10 | + | 4.19785e10i | 0.694906 | + | 1.77059i | ||||
\(922\) | 4.64400e9 | − | 1.43248e9i | 0.195134 | − | 0.0601910i | ||||
\(923\) | −1.75885e9 | + | 1.63197e9i | −0.0736246 | + | 0.0683136i | ||||
\(924\) | −1.03633e9 | + | 1.29952e9i | −0.0432161 | + | 0.0541913i | ||||
\(925\) | 1.73849e10 | − | 2.18000e10i | 0.722231 | − | 0.905649i | ||||
\(926\) | −2.18922e9 | + | 2.03130e9i | −0.0906047 | + | 0.0840689i | ||||
\(927\) | 3.03171e8 | − | 9.35159e7i | 0.0125000 | − | 0.00385573i | ||||
\(928\) | 3.33517e9 | + | 8.49787e9i | 0.136993 | + | 0.349054i | ||||
\(929\) | −3.01153e10 | + | 2.05323e10i | −1.23235 | + | 0.840199i | −0.991467 | − | 0.130356i | \(-0.958388\pi\) |
−0.240879 | + | 0.970555i | \(0.577436\pi\) | |||||||
\(930\) | −6.68636e7 | − | 3.21998e7i | −0.00272583 | − | 0.00131269i | ||||
\(931\) | −3.06506e9 | − | 2.84396e9i | −0.124484 | − | 0.115505i | ||||
\(932\) | −2.54601e10 | + | 3.83749e9i | −1.03016 | + | 0.155271i | ||||
\(933\) | 1.59878e9 | − | 2.13343e10i | 0.0644471 | − | 0.859987i | ||||
\(934\) | 2.17998e9 | − | 5.55449e9i | 0.0875463 | − | 0.223064i | ||||
\(935\) | −5.38194e7 | − | 2.35798e8i | −0.00215327 | − | 0.00943409i | ||||
\(936\) | 5.60084e6 | + | 7.47380e7i | 0.000223248 | + | 0.00297904i | ||||
\(937\) | −5.31493e9 | − | 1.63944e9i | −0.211061 | − | 0.0651038i | 0.187422 | − | 0.982280i | \(-0.439987\pi\) |
−0.398483 | + | 0.917176i | \(0.630463\pi\) | |||||||
\(938\) | −5.23418e8 | + | 2.52065e8i | −0.0207080 | + | 0.00997246i | ||||
\(939\) | 3.20910e9 | − | 5.55832e9i | 0.126489 | − | 0.219086i | ||||
\(940\) | 4.85706e9 | + | 8.41268e9i | 0.190733 | + | 0.330360i | ||||
\(941\) | −3.52754e10 | − | 2.40504e10i | −1.38009 | − | 0.940933i | −0.999871 | − | 0.0160379i | \(-0.994895\pi\) |
−0.380223 | − | 0.924895i | \(-0.624153\pi\) | |||||||
\(942\) | −1.13040e9 | + | 4.95262e9i | −0.0440611 | + | 0.193044i | ||||
\(943\) | 5.29011e10 | + | 7.97356e9i | 2.05435 | + | 0.309643i | ||||
\(944\) | 9.62869e9 | + | 1.20740e10i | 0.372533 | + | 0.467142i | ||||
\(945\) | −1.19271e10 | −0.459753 | ||||||||
\(946\) | 9.00441e7 | − | 2.43939e8i | 0.00345809 | − | 0.00936832i | ||||
\(947\) | 1.27123e10 | 0.486406 | 0.243203 | − | 0.969975i | \(-0.421802\pi\) | ||||
0.243203 | + | 0.969975i | \(0.421802\pi\) | |||||||
\(948\) | 8.53500e9 | + | 1.07026e10i | 0.325368 | + | 0.407998i | ||||
\(949\) | 7.35425e9 | + | 1.10847e9i | 0.279323 | + | 0.0421012i | ||||
\(950\) | −2.46894e8 | + | 1.08171e9i | −0.00934280 | + | 0.0409335i | ||||
\(951\) | 3.65781e10 | + | 2.49385e10i | 1.37908 | + | 0.940240i | ||||
\(952\) | 2.79251e9 | + | 4.83676e9i | 0.104897 | + | 0.181688i | ||||
\(953\) | −1.21335e9 | + | 2.10158e9i | −0.0454109 | + | 0.0786540i | −0.887837 | − | 0.460157i | \(-0.847793\pi\) |
0.842427 | + | 0.538811i | \(0.181126\pi\) | |||||||
\(954\) | 1.68461e7 | − | 8.11264e6i | 0.000628173 | − | 0.000302512i | ||||
\(955\) | −5.32261e9 | − | 1.64181e9i | −0.197748 | − | 0.0609973i | ||||
\(956\) | 5.11189e8 | + | 6.82134e9i | 0.0189225 | + | 0.252503i | ||||
\(957\) | −2.51475e8 | − | 1.10178e9i | −0.00927475 | − | 0.0406353i | ||||
\(958\) | −7.36387e8 | + | 1.87628e9i | −0.0270600 | + | 0.0689476i | ||||
\(959\) | −2.20887e9 | + | 2.94754e10i | −0.0808734 | + | 1.07918i | ||||
\(960\) | −7.84744e9 | + | 1.18281e9i | −0.286272 | + | 0.0431485i | ||||
\(961\) | 2.01202e10 | + | 1.86689e10i | 0.731310 | + | 0.678556i | ||||
\(962\) | 2.22074e9 | + | 1.06945e9i | 0.0804238 | + | 0.0387301i | ||||
\(963\) | 5.36992e8 | − | 3.66115e8i | 0.0193765 | − | 0.0132107i | ||||
\(964\) | 2.38579e9 | + | 6.07888e9i | 0.0857752 | + | 0.218552i | ||||
\(965\) | −1.61526e10 | + | 4.98242e9i | −0.578624 | + | 0.178482i | ||||
\(966\) | −6.16390e9 | + | 5.71926e9i | −0.220006 | + | 0.204136i | ||||
\(967\) | −1.18751e9 | + | 1.48909e9i | −0.0422323 | + | 0.0529577i | −0.802499 | − | 0.596653i | \(-0.796497\pi\) |
0.760267 | + | 0.649611i | \(0.225068\pi\) | |||||||
\(968\) | −6.06754e9 | + | 7.60845e9i | −0.215005 | + | 0.269608i | ||||
\(969\) | 2.67927e9 | − | 2.48600e9i | 0.0945984 | − | 0.0877745i | ||||
\(970\) | 2.49154e9 | − | 7.68538e8i | 0.0876529 | − | 0.0270374i | ||||
\(971\) | 4.17220e9 | + | 1.06306e10i | 0.146251 | + | 0.372640i | 0.985162 | − | 0.171628i | \(-0.0549027\pi\) |
−0.838911 | + | 0.544268i | \(0.816807\pi\) | |||||||
\(972\) | 1.03461e9 | − | 7.05385e8i | 0.0361364 | − | 0.0246374i | ||||
\(973\) | −2.57458e10 | − | 1.23985e10i | −0.896006 | − | 0.431494i | ||||
\(974\) | −1.91819e9 | − | 1.77982e9i | −0.0665173 | − | 0.0617190i | ||||
\(975\) | 9.44318e9 | − | 1.42333e9i | 0.326289 | − | 0.0491801i | ||||
\(976\) | 2.58703e9 | − | 3.45216e10i | 0.0890692 | − | 1.18855i | ||||
\(977\) | −2.99274e9 | + | 7.62537e9i | −0.102669 | + | 0.261595i | −0.972973 | − | 0.230919i | \(-0.925827\pi\) |
0.870304 | + | 0.492514i | \(0.163922\pi\) | |||||||
\(978\) | 8.31051e8 | + | 3.64107e9i | 0.0284081 | + | 0.124464i | ||||
\(979\) | −1.39910e8 | − | 1.86697e9i | −0.00476551 | − | 0.0635913i | ||||
\(980\) | −6.04353e9 | − | 1.86418e9i | −0.205116 | − | 0.0632699i | ||||
\(981\) | 5.13310e7 | − | 2.47197e7i | 0.00173595 | − | 0.000835991i | ||||
\(982\) | 3.83501e9 | − | 6.64243e9i | 0.129234 | − | 0.223840i | ||||
\(983\) | 1.56362e10 | + | 2.70828e10i | 0.525044 | + | 0.909402i | 0.999575 | + | 0.0291633i | \(0.00928429\pi\) |
−0.474531 | + | 0.880239i | \(0.657382\pi\) | |||||||
\(984\) | −1.29253e10 | − | 8.81233e9i | −0.432472 | − | 0.294854i | ||||
\(985\) | −2.03664e9 | + | 8.92312e9i | −0.0679029 | + | 0.297502i | ||||
\(986\) | −1.84803e9 | − | 2.78546e8i | −0.0613960 | − | 0.00925395i | ||||
\(987\) | 2.61064e10 | + | 3.27364e10i | 0.864246 | + | 1.08373i | ||||
\(988\) | 3.07941e9 | 0.101582 | ||||||||
\(989\) | −1.99167e10 | + | 3.61807e10i | −0.654683 | + | 1.18930i | ||||
\(990\) | 2.45856e6 | 8.05300e−5 | ||||||||
\(991\) | −9.63596e9 | − | 1.20831e10i | −0.314512 | − | 0.394385i | 0.599299 | − | 0.800525i | \(-0.295446\pi\) |
−0.913811 | + | 0.406140i | \(0.866875\pi\) | |||||||
\(992\) | 7.49244e8 | + | 1.12930e8i | 0.0243687 | + | 0.00367299i | ||||
\(993\) | 4.56230e9 | − | 1.99888e10i | 0.147864 | − | 0.647834i | ||||
\(994\) | −1.50169e9 | − | 1.02383e9i | −0.0484983 | − | 0.0330656i | ||||
\(995\) | 2.41333e9 | + | 4.18001e9i | 0.0776668 | + | 0.134523i | ||||
\(996\) | 9.92960e9 | − | 1.71986e10i | 0.318437 | − | 0.551550i | ||||
\(997\) | −2.63551e10 | + | 1.26919e10i | −0.842232 | + | 0.405597i | −0.804688 | − | 0.593698i | \(-0.797668\pi\) |
−0.0375435 | + | 0.999295i | \(0.511953\pi\) | |||||||
\(998\) | −8.14142e9 | − | 2.51130e9i | −0.259265 | − | 0.0799725i | ||||
\(999\) | −3.16139e9 | − | 4.21858e10i | −0.100323 | − | 1.33871i |
(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 | 43.8.g.a.9.12 | ✓ | 300 | |
43.24 | even | 21 | inner | 43.8.g.a.24.12 | yes | 300 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.8.g.a.9.12 | ✓ | 300 | 1.1 | even | 1 | trivial | |
43.8.g.a.24.12 | yes | 300 | 43.24 | even | 21 | inner |