Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [74,4,Mod(7,74)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(74, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([16]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("74.7");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 74 = 2 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 74.f (of order \(9\), 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: | \(4.36614134042\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 33.3 | ||
Character | \(\chi\) | \(=\) | 74.33 |
Dual form | 74.4.f.a.9.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/74\mathbb{Z}\right)^\times\).
\(n\) | \(39\) |
\(\chi(n)\) | \(e\left(\frac{5}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.347296 | + | 1.96962i | −0.122788 | + | 0.696364i | ||||
\(3\) | −0.0459350 | − | 0.260510i | −0.00884019 | − | 0.0501352i | 0.980069 | − | 0.198660i | \(-0.0636588\pi\) |
−0.988909 | + | 0.148524i | \(0.952548\pi\) | |||||||
\(4\) | −3.75877 | − | 1.36808i | −0.469846 | − | 0.171010i | ||||
\(5\) | 12.6348 | − | 10.6018i | 1.13009 | − | 0.948257i | 0.131019 | − | 0.991380i | \(-0.458175\pi\) |
0.999070 | + | 0.0431233i | \(0.0137308\pi\) | |||||||
\(6\) | 0.529058 | 0.0359978 | ||||||||
\(7\) | 0.748056 | − | 0.627693i | 0.0403912 | − | 0.0338923i | −0.622369 | − | 0.782724i | \(-0.713829\pi\) |
0.662760 | + | 0.748832i | \(0.269385\pi\) | |||||||
\(8\) | 4.00000 | − | 6.92820i | 0.176777 | − | 0.306186i | ||||
\(9\) | 25.3059 | − | 9.21061i | 0.937257 | − | 0.341134i | ||||
\(10\) | 16.4935 | + | 28.5676i | 0.521571 | + | 0.903387i | ||||
\(11\) | −9.26296 | + | 16.0439i | −0.253899 | + | 0.439766i | −0.964596 | − | 0.263732i | \(-0.915046\pi\) |
0.710697 | + | 0.703498i | \(0.248380\pi\) | |||||||
\(12\) | −0.183740 | + | 1.04204i | −0.00442009 | + | 0.0250676i | ||||
\(13\) | 47.8263 | + | 17.4073i | 1.02036 | + | 0.371379i | 0.797401 | − | 0.603450i | \(-0.206208\pi\) |
0.222955 | + | 0.974829i | \(0.428430\pi\) | |||||||
\(14\) | 0.976517 | + | 1.69138i | 0.0186418 | + | 0.0322886i | ||||
\(15\) | −3.34226 | − | 2.80449i | −0.0575312 | − | 0.0482744i | ||||
\(16\) | 12.2567 | + | 10.2846i | 0.191511 | + | 0.160697i | ||||
\(17\) | 5.74073 | − | 2.08946i | 0.0819019 | − | 0.0298099i | −0.300744 | − | 0.953705i | \(-0.597235\pi\) |
0.382646 | + | 0.923895i | \(0.375013\pi\) | |||||||
\(18\) | 9.35270 | + | 53.0418i | 0.122470 | + | 0.694559i | ||||
\(19\) | 0.257205 | + | 1.45868i | 0.00310562 | + | 0.0176129i | 0.986321 | − | 0.164835i | \(-0.0527091\pi\) |
−0.983216 | + | 0.182448i | \(0.941598\pi\) | |||||||
\(20\) | −61.9954 | + | 22.5645i | −0.693129 | + | 0.252278i | ||||
\(21\) | −0.197882 | − | 0.166043i | −0.00205626 | − | 0.00172541i | ||||
\(22\) | −28.3834 | − | 23.8165i | −0.275061 | − | 0.230804i | ||||
\(23\) | −42.1910 | − | 73.0770i | −0.382497 | − | 0.662505i | 0.608921 | − | 0.793231i | \(-0.291603\pi\) |
−0.991419 | + | 0.130726i | \(0.958269\pi\) | |||||||
\(24\) | −1.98861 | − | 0.723794i | −0.0169134 | − | 0.00615599i | ||||
\(25\) | 25.5326 | − | 144.802i | 0.204261 | − | 1.15842i | ||||
\(26\) | −50.8957 | + | 88.1539i | −0.383902 | + | 0.664938i | ||||
\(27\) | −7.13302 | − | 12.3548i | −0.0508426 | − | 0.0880620i | ||||
\(28\) | −3.67050 | + | 1.33595i | −0.0247736 | + | 0.00901685i | ||||
\(29\) | 6.91180 | − | 11.9716i | 0.0442583 | − | 0.0766576i | −0.843048 | − | 0.537839i | \(-0.819241\pi\) |
0.887306 | + | 0.461181i | \(0.152574\pi\) | |||||||
\(30\) | 6.68452 | − | 5.60898i | 0.0406807 | − | 0.0341352i | ||||
\(31\) | 5.83912 | 0.0338302 | 0.0169151 | − | 0.999857i | \(-0.494615\pi\) | ||||
0.0169151 | + | 0.999857i | \(0.494615\pi\) | |||||||
\(32\) | −24.5134 | + | 20.5692i | −0.135419 | + | 0.113630i | ||||
\(33\) | 4.60510 | + | 1.67612i | 0.0242923 | + | 0.00884166i | ||||
\(34\) | 2.12169 | + | 12.0327i | 0.0107020 | + | 0.0606939i | ||||
\(35\) | 2.79681 | − | 15.8615i | 0.0135071 | − | 0.0766025i | ||||
\(36\) | −107.720 | −0.498704 | ||||||||
\(37\) | −217.685 | − | 57.1506i | −0.967222 | − | 0.253932i | ||||
\(38\) | −2.96237 | −0.0126463 | ||||||||
\(39\) | 2.33789 | − | 13.2588i | 0.00959903 | − | 0.0544388i | ||||
\(40\) | −22.9126 | − | 129.944i | −0.0905698 | − | 0.513647i | ||||
\(41\) | −194.400 | − | 70.7557i | −0.740491 | − | 0.269517i | −0.0558925 | − | 0.998437i | \(-0.517800\pi\) |
−0.684599 | + | 0.728920i | \(0.740023\pi\) | |||||||
\(42\) | 0.395765 | − | 0.332086i | 0.00145400 | − | 0.00122005i | ||||
\(43\) | −524.941 | −1.86169 | −0.930845 | − | 0.365413i | \(-0.880928\pi\) | ||||
−0.930845 | + | 0.365413i | \(0.880928\pi\) | |||||||
\(44\) | 56.7667 | − | 47.6329i | 0.194498 | − | 0.163203i | ||||
\(45\) | 222.085 | − | 384.663i | 0.735701 | − | 1.27427i | ||||
\(46\) | 158.586 | − | 57.7207i | 0.508311 | − | 0.185010i | ||||
\(47\) | 222.352 | + | 385.125i | 0.690072 | + | 1.19524i | 0.971814 | + | 0.235749i | \(0.0757544\pi\) |
−0.281742 | + | 0.959490i | \(0.590912\pi\) | |||||||
\(48\) | 2.11623 | − | 3.66542i | 0.00636358 | − | 0.0110220i | ||||
\(49\) | −59.3957 | + | 336.850i | −0.173165 | + | 0.982070i | ||||
\(50\) | 276.338 | + | 100.579i | 0.781601 | + | 0.284480i | ||||
\(51\) | −0.808025 | − | 1.39954i | −0.00221855 | − | 0.00384264i | ||||
\(52\) | −155.953 | − | 130.860i | −0.415901 | − | 0.348982i | ||||
\(53\) | 487.834 | + | 409.342i | 1.26432 | + | 1.06089i | 0.995207 | + | 0.0977868i | \(0.0311763\pi\) |
0.269117 | + | 0.963107i | \(0.413268\pi\) | |||||||
\(54\) | 26.8114 | − | 9.75855i | 0.0675661 | − | 0.0245920i | ||||
\(55\) | 53.0595 | + | 300.916i | 0.130083 | + | 0.737736i | ||||
\(56\) | −1.35656 | − | 7.69346i | −0.00323712 | − | 0.0183586i | ||||
\(57\) | 0.368186 | − | 0.134009i | 0.000855569 | − | 0.000311402i | ||||
\(58\) | 21.1790 | + | 17.7713i | 0.0479472 | + | 0.0402325i | ||||
\(59\) | 327.846 | + | 275.095i | 0.723422 | + | 0.607023i | 0.928329 | − | 0.371759i | \(-0.121245\pi\) |
−0.204908 | + | 0.978781i | \(0.565690\pi\) | |||||||
\(60\) | 8.72603 | + | 15.1139i | 0.0187754 | + | 0.0325200i | ||||
\(61\) | −334.369 | − | 121.700i | −0.701829 | − | 0.255445i | −0.0336372 | − | 0.999434i | \(-0.510709\pi\) |
−0.668191 | + | 0.743989i | \(0.732931\pi\) | |||||||
\(62\) | −2.02790 | + | 11.5008i | −0.00415394 | + | 0.0235581i | ||||
\(63\) | 13.1488 | − | 22.7744i | 0.0262952 | − | 0.0455446i | ||||
\(64\) | −32.0000 | − | 55.4256i | −0.0625000 | − | 0.108253i | ||||
\(65\) | 788.824 | − | 287.108i | 1.50525 | − | 0.547868i | ||||
\(66\) | −4.90064 | + | 8.48816i | −0.00913981 | + | 0.0158306i | ||||
\(67\) | 303.282 | − | 254.484i | 0.553012 | − | 0.464032i | −0.322947 | − | 0.946417i | \(-0.604674\pi\) |
0.875960 | + | 0.482385i | \(0.160229\pi\) | |||||||
\(68\) | −24.4366 | −0.0435791 | ||||||||
\(69\) | −17.0993 | + | 14.3480i | −0.0298335 | + | 0.0250332i | ||||
\(70\) | 30.2698 | + | 11.0173i | 0.0516847 | + | 0.0188117i | ||||
\(71\) | 23.0133 | + | 130.515i | 0.0384673 | + | 0.218159i | 0.997982 | − | 0.0635003i | \(-0.0202264\pi\) |
−0.959515 | + | 0.281659i | \(0.909115\pi\) | |||||||
\(72\) | 37.4108 | − | 212.167i | 0.0612348 | − | 0.347280i | ||||
\(73\) | −619.128 | −0.992650 | −0.496325 | − | 0.868137i | \(-0.665318\pi\) | ||||
−0.496325 | + | 0.868137i | \(0.665318\pi\) | |||||||
\(74\) | 188.166 | − | 408.908i | 0.295592 | − | 0.642359i | ||||
\(75\) | −38.8953 | −0.0598833 | ||||||||
\(76\) | 1.02882 | − | 5.83472i | 0.00155281 | − | 0.00880643i | ||||
\(77\) | 3.14145 | + | 17.8160i | 0.00464937 | + | 0.0263679i | ||||
\(78\) | 25.3029 | + | 9.20949i | 0.0367306 | + | 0.0133688i | ||||
\(79\) | −533.926 | + | 448.017i | −0.760396 | + | 0.638048i | −0.938230 | − | 0.346012i | \(-0.887536\pi\) |
0.177834 | + | 0.984061i | \(0.443091\pi\) | |||||||
\(80\) | 263.896 | 0.368806 | ||||||||
\(81\) | 554.108 | − | 464.952i | 0.760094 | − | 0.637794i | ||||
\(82\) | 206.876 | − | 358.320i | 0.278605 | − | 0.482558i | ||||
\(83\) | −1073.66 | + | 390.782i | −1.41988 | + | 0.516794i | −0.934013 | − | 0.357239i | \(-0.883718\pi\) |
−0.485867 | + | 0.874033i | \(0.661496\pi\) | |||||||
\(84\) | 0.516634 | + | 0.894836i | 0.000671064 | + | 0.00116232i | ||||
\(85\) | 50.3808 | − | 87.2621i | 0.0642890 | − | 0.111352i | ||||
\(86\) | 182.310 | − | 1033.93i | 0.228593 | − | 1.29641i | ||||
\(87\) | −3.43622 | − | 1.25068i | −0.00423449 | − | 0.00154123i | ||||
\(88\) | 74.1037 | + | 128.351i | 0.0897668 | + | 0.155481i | ||||
\(89\) | 770.058 | + | 646.155i | 0.917146 | + | 0.769577i | 0.973465 | − | 0.228836i | \(-0.0734919\pi\) |
−0.0563190 | + | 0.998413i | \(0.517936\pi\) | |||||||
\(90\) | 680.509 | + | 571.015i | 0.797022 | + | 0.668781i | ||||
\(91\) | 46.7032 | − | 16.9986i | 0.0538003 | − | 0.0195817i | ||||
\(92\) | 58.6112 | + | 332.400i | 0.0664200 | + | 0.376686i | ||||
\(93\) | −0.268220 | − | 1.52115i | −0.000299065 | − | 0.00169608i | ||||
\(94\) | −835.770 | + | 304.195i | −0.917054 | + | 0.333780i | ||||
\(95\) | 18.7144 | + | 15.7033i | 0.0202111 | + | 0.0169592i | ||||
\(96\) | 6.48451 | + | 5.44115i | 0.00689398 | + | 0.00578474i | ||||
\(97\) | −568.730 | − | 985.070i | −0.595318 | − | 1.03112i | −0.993502 | − | 0.113815i | \(-0.963693\pi\) |
0.398184 | − | 0.917305i | \(-0.369640\pi\) | |||||||
\(98\) | −642.837 | − | 233.974i | −0.662616 | − | 0.241172i | ||||
\(99\) | −86.6337 | + | 491.324i | −0.0879496 | + | 0.498787i | ||||
\(100\) | −294.073 | + | 509.349i | −0.294073 | + | 0.509349i | ||||
\(101\) | −81.6722 | − | 141.460i | −0.0804622 | − | 0.139365i | 0.822986 | − | 0.568061i | \(-0.192306\pi\) |
−0.903449 | + | 0.428697i | \(0.858973\pi\) | |||||||
\(102\) | 3.03718 | − | 1.10544i | 0.00294829 | − | 0.00107309i | ||||
\(103\) | −313.226 | + | 542.523i | −0.299641 | + | 0.518994i | −0.976054 | − | 0.217529i | \(-0.930200\pi\) |
0.676412 | + | 0.736523i | \(0.263534\pi\) | |||||||
\(104\) | 311.907 | − | 261.721i | 0.294086 | − | 0.246768i | ||||
\(105\) | −4.26056 | −0.00395988 | ||||||||
\(106\) | −975.669 | + | 818.683i | −0.894012 | + | 0.750166i | ||||
\(107\) | −1548.88 | − | 563.748i | −1.39941 | − | 0.509342i | −0.471403 | − | 0.881918i | \(-0.656252\pi\) |
−0.928002 | + | 0.372576i | \(0.878475\pi\) | |||||||
\(108\) | 9.90909 | + | 56.1973i | 0.00882873 | + | 0.0500702i | ||||
\(109\) | 240.103 | − | 1361.69i | 0.210988 | − | 1.19657i | −0.676745 | − | 0.736217i | \(-0.736610\pi\) |
0.887734 | − | 0.460357i | \(-0.152279\pi\) | |||||||
\(110\) | −611.115 | −0.529705 | ||||||||
\(111\) | −4.88894 | + | 59.3344i | −0.00418052 | + | 0.0507367i | ||||
\(112\) | 15.6243 | 0.0131817 | ||||||||
\(113\) | 13.1126 | − | 74.3654i | 0.0109162 | − | 0.0619089i | −0.978863 | − | 0.204517i | \(-0.934438\pi\) |
0.989779 | + | 0.142608i | \(0.0455488\pi\) | |||||||
\(114\) | 0.136076 | + | 0.771726i | 0.000111796 | + | 0.000634024i | ||||
\(115\) | −1307.82 | − | 476.009i | −1.06048 | − | 0.385983i | ||||
\(116\) | −42.3580 | + | 35.5426i | −0.0339038 | + | 0.0284487i | ||||
\(117\) | 1370.62 | 1.08303 | ||||||||
\(118\) | −655.691 | + | 550.190i | −0.511536 | + | 0.429230i | ||||
\(119\) | 2.98285 | − | 5.16645i | 0.00229779 | − | 0.00397990i | ||||
\(120\) | −32.7991 | + | 11.9379i | −0.0249511 | + | 0.00908147i | ||||
\(121\) | 493.895 | + | 855.451i | 0.371071 | + | 0.642713i | ||||
\(122\) | 355.828 | − | 616.312i | 0.264059 | − | 0.457363i | ||||
\(123\) | −9.50284 | + | 53.8933i | −0.00696619 | + | 0.0395073i | ||||
\(124\) | −21.9479 | − | 7.98838i | −0.0158950 | − | 0.00578531i | ||||
\(125\) | −181.728 | − | 314.762i | −0.130034 | − | 0.225225i | ||||
\(126\) | 40.2903 | + | 33.8076i | 0.0284869 | + | 0.0239033i | ||||
\(127\) | 345.831 | + | 290.186i | 0.241634 | + | 0.202755i | 0.755560 | − | 0.655080i | \(-0.227365\pi\) |
−0.513926 | + | 0.857835i | \(0.671809\pi\) | |||||||
\(128\) | 120.281 | − | 43.7786i | 0.0830579 | − | 0.0302306i | ||||
\(129\) | 24.1131 | + | 136.752i | 0.0164577 | + | 0.0933362i | ||||
\(130\) | 291.538 | + | 1653.39i | 0.196689 | + | 1.11548i | ||||
\(131\) | 422.224 | − | 153.677i | 0.281602 | − | 0.102495i | −0.197358 | − | 0.980331i | \(-0.563236\pi\) |
0.478960 | + | 0.877837i | \(0.341014\pi\) | |||||||
\(132\) | −15.0164 | − | 12.6003i | −0.00990161 | − | 0.00830844i | ||||
\(133\) | 1.10801 | + | 0.929729i | 0.000722379 | + | 0.000606148i | ||||
\(134\) | 395.907 | + | 685.731i | 0.255232 | + | 0.442076i | ||||
\(135\) | −221.107 | − | 80.4764i | −0.140962 | − | 0.0513060i | ||||
\(136\) | 8.48676 | − | 48.1308i | 0.00535098 | − | 0.0303469i | ||||
\(137\) | 1041.31 | − | 1803.61i | 0.649382 | − | 1.12476i | −0.333889 | − | 0.942613i | \(-0.608361\pi\) |
0.983271 | − | 0.182150i | \(-0.0583057\pi\) | |||||||
\(138\) | −22.3215 | − | 38.6620i | −0.0137691 | − | 0.0238487i | ||||
\(139\) | 2402.65 | − | 874.492i | 1.46611 | − | 0.533622i | 0.519072 | − | 0.854731i | \(-0.326278\pi\) |
0.947042 | + | 0.321109i | \(0.104055\pi\) | |||||||
\(140\) | −32.2124 | + | 55.7936i | −0.0194460 | + | 0.0336815i | ||||
\(141\) | 90.1152 | − | 75.6156i | 0.0538232 | − | 0.0451630i | ||||
\(142\) | −265.057 | −0.156641 | ||||||||
\(143\) | −722.295 | + | 606.078i | −0.422387 | + | 0.354425i | ||||
\(144\) | 404.895 | + | 147.370i | 0.234314 | + | 0.0852834i | ||||
\(145\) | −39.5918 | − | 224.536i | −0.0226753 | − | 0.128598i | ||||
\(146\) | 215.021 | − | 1219.44i | 0.121885 | − | 0.691246i | ||||
\(147\) | 90.4811 | 0.0507671 | ||||||||
\(148\) | 740.042 | + | 512.627i | 0.411021 | + | 0.284714i | ||||
\(149\) | 631.103 | 0.346993 | 0.173497 | − | 0.984834i | \(-0.444493\pi\) | ||||
0.173497 | + | 0.984834i | \(0.444493\pi\) | |||||||
\(150\) | 13.5082 | − | 76.6089i | 0.00735294 | − | 0.0417006i | ||||
\(151\) | −374.265 | − | 2122.56i | −0.201704 | − | 1.14392i | −0.902543 | − | 0.430599i | \(-0.858302\pi\) |
0.700840 | − | 0.713319i | \(-0.252809\pi\) | |||||||
\(152\) | 11.1349 | + | 4.05276i | 0.00594182 | + | 0.00216264i | ||||
\(153\) | 126.030 | − | 105.751i | 0.0665940 | − | 0.0558790i | ||||
\(154\) | −36.1818 | −0.0189325 | ||||||||
\(155\) | 73.7759 | − | 61.9053i | 0.0382311 | − | 0.0320797i | ||||
\(156\) | −26.9267 | + | 46.6385i | −0.0138196 | + | 0.0239363i | ||||
\(157\) | −2131.64 | + | 775.852i | −1.08359 | + | 0.394393i | −0.821241 | − | 0.570581i | \(-0.806718\pi\) |
−0.262345 | + | 0.964974i | \(0.584496\pi\) | |||||||
\(158\) | −696.990 | − | 1207.22i | −0.350947 | − | 0.607857i | ||||
\(159\) | 84.2290 | − | 145.889i | 0.0420113 | − | 0.0727656i | ||||
\(160\) | −91.6502 | + | 519.774i | −0.0452849 | + | 0.256824i | ||||
\(161\) | −77.4312 | − | 28.1826i | −0.0379033 | − | 0.0137957i | ||||
\(162\) | 723.337 | + | 1252.86i | 0.350807 | + | 0.607615i | ||||
\(163\) | 2579.86 | + | 2164.76i | 1.23970 | + | 1.04023i | 0.997548 | + | 0.0699897i | \(0.0222967\pi\) |
0.242149 | + | 0.970239i | \(0.422148\pi\) | |||||||
\(164\) | 633.905 | + | 531.909i | 0.301827 | + | 0.253263i | ||||
\(165\) | 75.9543 | − | 27.6451i | 0.0358366 | − | 0.0130434i | ||||
\(166\) | −396.810 | − | 2250.42i | −0.185533 | − | 1.05221i | ||||
\(167\) | 435.564 | + | 2470.21i | 0.201826 | + | 1.14461i | 0.902357 | + | 0.430990i | \(0.141836\pi\) |
−0.700530 | + | 0.713622i | \(0.747053\pi\) | |||||||
\(168\) | −1.94191 | + | 0.706797i | −0.000891795 | + | 0.000324587i | ||||
\(169\) | 301.338 | + | 252.853i | 0.137159 | + | 0.115090i | ||||
\(170\) | 154.376 | + | 129.537i | 0.0696475 | + | 0.0584412i | ||||
\(171\) | 19.9441 | + | 34.5443i | 0.00891911 | + | 0.0154483i | ||||
\(172\) | 1973.13 | + | 718.161i | 0.874709 | + | 0.318368i | ||||
\(173\) | 76.9210 | − | 436.241i | 0.0338046 | − | 0.191715i | −0.963229 | − | 0.268681i | \(-0.913412\pi\) |
0.997034 | + | 0.0769659i | \(0.0245233\pi\) | |||||||
\(174\) | 3.65674 | − | 6.33367i | 0.00159320 | − | 0.00275951i | ||||
\(175\) | −71.7917 | − | 124.347i | −0.0310111 | − | 0.0537128i | ||||
\(176\) | −278.539 | + | 101.380i | −0.119293 | + | 0.0434193i | ||||
\(177\) | 56.6055 | − | 98.0436i | 0.0240380 | − | 0.0416351i | ||||
\(178\) | −1540.12 | + | 1292.31i | −0.648520 | + | 0.544173i | ||||
\(179\) | 3444.17 | 1.43815 | 0.719077 | − | 0.694931i | \(-0.244565\pi\) | ||||
0.719077 | + | 0.694931i | \(0.244565\pi\) | |||||||
\(180\) | −1361.02 | + | 1142.03i | −0.563580 | + | 0.472900i | ||||
\(181\) | 899.571 | + | 327.417i | 0.369418 | + | 0.134457i | 0.520057 | − | 0.854132i | \(-0.325911\pi\) |
−0.150639 | + | 0.988589i | \(0.548133\pi\) | |||||||
\(182\) | 17.2608 | + | 97.8909i | 0.00702998 | + | 0.0398690i | ||||
\(183\) | −16.3449 | + | 92.6967i | −0.00660247 | + | 0.0374445i | ||||
\(184\) | −675.057 | −0.270466 | ||||||||
\(185\) | −3356.30 | + | 1585.78i | −1.33384 | + | 0.630209i | ||||
\(186\) | 3.08923 | 0.00121781 | ||||||||
\(187\) | −19.6531 | + | 111.458i | −0.00768545 | + | 0.0435864i | ||||
\(188\) | −308.888 | − | 1751.79i | −0.119830 | − | 0.679588i | ||||
\(189\) | −13.0909 | − | 4.76470i | −0.00503822 | − | 0.00183376i | ||||
\(190\) | −37.4288 | + | 31.4065i | −0.0142914 | + | 0.0119919i | ||||
\(191\) | 2072.13 | 0.784996 | 0.392498 | − | 0.919753i | \(-0.371611\pi\) | ||||
0.392498 | + | 0.919753i | \(0.371611\pi\) | |||||||
\(192\) | −12.9690 | + | 10.8823i | −0.00487478 | + | 0.00409043i | ||||
\(193\) | −1512.15 | + | 2619.12i | −0.563974 | + | 0.976831i | 0.433170 | + | 0.901312i | \(0.357395\pi\) |
−0.997144 | + | 0.0755194i | \(0.975939\pi\) | |||||||
\(194\) | 2137.73 | − | 778.069i | 0.791133 | − | 0.287949i | ||||
\(195\) | −111.029 | − | 192.308i | −0.0407742 | − | 0.0706230i | ||||
\(196\) | 684.093 | − | 1184.88i | 0.249305 | − | 0.431809i | ||||
\(197\) | −182.405 | + | 1034.47i | −0.0659686 | + | 0.374126i | 0.933894 | + | 0.357550i | \(0.116388\pi\) |
−0.999863 | + | 0.0165765i | \(0.994723\pi\) | |||||||
\(198\) | −937.632 | − | 341.270i | −0.336538 | − | 0.122490i | ||||
\(199\) | −2611.50 | − | 4523.25i | −0.930273 | − | 1.61128i | −0.782853 | − | 0.622207i | \(-0.786236\pi\) |
−0.147420 | − | 0.989074i | \(-0.547097\pi\) | |||||||
\(200\) | −901.091 | − | 756.105i | −0.318584 | − | 0.267323i | ||||
\(201\) | −80.2269 | − | 67.3184i | −0.0281531 | − | 0.0236232i | ||||
\(202\) | 306.987 | − | 111.734i | 0.106928 | − | 0.0389187i | ||||
\(203\) | −2.34408 | − | 13.2939i | −0.000810453 | − | 0.00459631i | ||||
\(204\) | 1.12250 | + | 6.36599i | 0.000385247 | + | 0.00218485i | ||||
\(205\) | −3206.34 | + | 1167.01i | −1.09239 | + | 0.397598i | ||||
\(206\) | −959.780 | − | 805.351i | −0.324617 | − | 0.272386i | ||||
\(207\) | −1740.77 | − | 1460.68i | −0.584501 | − | 0.490455i | ||||
\(208\) | 407.165 | + | 705.231i | 0.135730 | + | 0.235091i | ||||
\(209\) | −25.7854 | − | 9.38513i | −0.00853405 | − | 0.00310614i | ||||
\(210\) | 1.47968 | − | 8.39166i | 0.000486225 | − | 0.00275752i | ||||
\(211\) | 1171.56 | − | 2029.21i | 0.382245 | − | 0.662068i | −0.609138 | − | 0.793064i | \(-0.708484\pi\) |
0.991383 | + | 0.130997i | \(0.0418177\pi\) | |||||||
\(212\) | −1273.65 | − | 2206.02i | −0.412615 | − | 0.714669i | ||||
\(213\) | 32.9434 | − | 11.9904i | 0.0105974 | − | 0.00385713i | ||||
\(214\) | 1648.29 | − | 2854.92i | 0.526517 | − | 0.911955i | ||||
\(215\) | −6632.51 | + | 5565.33i | −2.10387 | + | 1.76536i | ||||
\(216\) | −114.128 | −0.0359512 | ||||||||
\(217\) | 4.36798 | − | 3.66517i | 0.00136644 | − | 0.00114658i | ||||
\(218\) | 2598.63 | + | 945.822i | 0.807345 | + | 0.293849i | ||||
\(219\) | 28.4396 | + | 161.289i | 0.00877521 | + | 0.0497667i | ||||
\(220\) | 212.238 | − | 1203.66i | 0.0650413 | − | 0.368868i | ||||
\(221\) | 310.930 | 0.0946399 | ||||||||
\(222\) | −115.168 | − | 30.2359i | −0.0348179 | − | 0.00914101i | ||||
\(223\) | −6262.53 | −1.88058 | −0.940291 | − | 0.340371i | \(-0.889447\pi\) | ||||
−0.940291 | + | 0.340371i | \(0.889447\pi\) | |||||||
\(224\) | −5.42625 | + | 30.7738i | −0.00161856 | + | 0.00917930i | ||||
\(225\) | −687.593 | − | 3899.53i | −0.203731 | − | 1.15542i | ||||
\(226\) | 141.917 | + | 51.6537i | 0.0417708 | + | 0.0152033i | ||||
\(227\) | 3505.08 | − | 2941.11i | 1.02485 | − | 0.859950i | 0.0346190 | − | 0.999401i | \(-0.488978\pi\) |
0.990229 | + | 0.139451i | \(0.0445338\pi\) | |||||||
\(228\) | −1.56726 | −0.000455239 | ||||||||
\(229\) | −1395.04 | + | 1170.57i | −0.402561 | + | 0.337789i | −0.821483 | − | 0.570233i | \(-0.806853\pi\) |
0.418921 | + | 0.908023i | \(0.362408\pi\) | |||||||
\(230\) | 1391.76 | − | 2410.59i | 0.398999 | − | 0.691087i | ||||
\(231\) | 4.49696 | − | 1.63676i | 0.00128086 | − | 0.000466194i | ||||
\(232\) | −55.2944 | − | 95.7728i | −0.0156477 | − | 0.0271025i | ||||
\(233\) | −2496.89 | + | 4324.74i | −0.702046 | + | 1.21598i | 0.265701 | + | 0.964056i | \(0.414397\pi\) |
−0.967747 | + | 0.251924i | \(0.918937\pi\) | |||||||
\(234\) | −476.012 | + | 2699.60i | −0.132982 | + | 0.754180i | ||||
\(235\) | 6892.40 | + | 2508.63i | 1.91324 | + | 0.696361i | ||||
\(236\) | −855.944 | − | 1482.54i | −0.236090 | − | 0.408920i | ||||
\(237\) | 141.239 | + | 118.513i | 0.0387107 | + | 0.0324822i | ||||
\(238\) | 9.13999 | + | 7.66936i | 0.00248932 | + | 0.00208878i | ||||
\(239\) | −1937.97 | + | 705.365i | −0.524507 | + | 0.190905i | −0.590684 | − | 0.806903i | \(-0.701142\pi\) |
0.0661771 | + | 0.997808i | \(0.478920\pi\) | |||||||
\(240\) | −12.1221 | − | 68.7477i | −0.00326032 | − | 0.0184902i | ||||
\(241\) | −468.617 | − | 2657.66i | −0.125254 | − | 0.710352i | −0.981157 | − | 0.193215i | \(-0.938109\pi\) |
0.855902 | − | 0.517138i | \(-0.173002\pi\) | |||||||
\(242\) | −1856.44 | + | 675.688i | −0.493126 | + | 0.179483i | ||||
\(243\) | −441.645 | − | 370.584i | −0.116591 | − | 0.0978312i | ||||
\(244\) | 1090.32 | + | 914.887i | 0.286068 | + | 0.240040i | ||||
\(245\) | 2820.78 | + | 4885.73i | 0.735562 | + | 1.27403i | ||||
\(246\) | −102.849 | − | 37.4339i | −0.0266561 | − | 0.00970202i | ||||
\(247\) | −13.0906 | + | 74.2405i | −0.00337221 | + | 0.0191247i | ||||
\(248\) | 23.3565 | − | 40.4546i | 0.00598039 | − | 0.0103583i | ||||
\(249\) | 151.121 | + | 261.750i | 0.0384616 | + | 0.0666174i | ||||
\(250\) | 683.074 | − | 248.618i | 0.172805 | − | 0.0628961i | ||||
\(251\) | 3755.01 | − | 6503.87i | 0.944280 | − | 1.63554i | 0.187094 | − | 0.982342i | \(-0.440093\pi\) |
0.757186 | − | 0.653199i | \(-0.226573\pi\) | |||||||
\(252\) | −80.5806 | + | 67.6152i | −0.0201433 | + | 0.0169022i | ||||
\(253\) | 1563.26 | 0.388463 | ||||||||
\(254\) | −691.661 | + | 580.373i | −0.170861 | + | 0.143369i | ||||
\(255\) | −25.0469 | − | 9.11633i | −0.00615097 | − | 0.00223877i | ||||
\(256\) | 44.4539 | + | 252.111i | 0.0108530 | + | 0.0615505i | ||||
\(257\) | −139.186 | + | 789.362i | −0.0337828 | + | 0.191592i | −0.997029 | − | 0.0770289i | \(-0.975457\pi\) |
0.963246 | + | 0.268620i | \(0.0865677\pi\) | |||||||
\(258\) | −277.724 | −0.0670168 | ||||||||
\(259\) | −198.714 | + | 93.8877i | −0.0476736 | + | 0.0225247i | ||||
\(260\) | −3357.80 | −0.800929 | ||||||||
\(261\) | 64.6440 | − | 366.615i | 0.0153309 | − | 0.0869459i | ||||
\(262\) | 156.048 | + | 884.990i | 0.0367964 | + | 0.208683i | ||||
\(263\) | −4151.07 | − | 1510.87i | −0.973254 | − | 0.354236i | −0.194040 | − | 0.980994i | \(-0.562159\pi\) |
−0.779214 | + | 0.626758i | \(0.784381\pi\) | |||||||
\(264\) | 30.0329 | − | 25.2006i | 0.00700150 | − | 0.00587495i | ||||
\(265\) | 10503.4 | 2.43480 | ||||||||
\(266\) | −2.21601 | + | 1.85946i | −0.000510799 | + | 0.000428611i | ||||
\(267\) | 132.957 | − | 230.289i | 0.0304751 | − | 0.0527845i | ||||
\(268\) | −1488.12 | + | 541.633i | −0.339185 | + | 0.123453i | ||||
\(269\) | −2513.30 | − | 4353.17i | −0.569661 | − | 0.986681i | −0.996599 | − | 0.0824005i | \(-0.973741\pi\) |
0.426939 | − | 0.904281i | \(-0.359592\pi\) | |||||||
\(270\) | 235.297 | − | 407.547i | 0.0530361 | − | 0.0918612i | ||||
\(271\) | −643.272 | + | 3648.18i | −0.144192 | + | 0.817753i | 0.823821 | + | 0.566851i | \(0.191838\pi\) |
−0.968012 | + | 0.250902i | \(0.919273\pi\) | |||||||
\(272\) | 91.8518 | + | 33.4313i | 0.0204755 | + | 0.00745247i | ||||
\(273\) | −6.57361 | − | 11.3858i | −0.00145734 | − | 0.00252418i | ||||
\(274\) | 3190.77 | + | 2677.37i | 0.703508 | + | 0.590314i | ||||
\(275\) | 2086.69 | + | 1750.94i | 0.457572 | + | 0.383948i | ||||
\(276\) | 83.9014 | − | 30.5376i | 0.0182981 | − | 0.00665995i | ||||
\(277\) | −483.009 | − | 2739.28i | −0.104770 | − | 0.594178i | −0.991312 | − | 0.131531i | \(-0.958011\pi\) |
0.886542 | − | 0.462647i | \(-0.153100\pi\) | |||||||
\(278\) | 887.982 | + | 5036.00i | 0.191574 | + | 1.08647i | ||||
\(279\) | 147.764 | − | 53.7818i | 0.0317076 | − | 0.0115406i | ||||
\(280\) | −98.7046 | − | 82.8230i | −0.0210669 | − | 0.0176772i | ||||
\(281\) | 1979.45 | + | 1660.96i | 0.420229 | + | 0.352614i | 0.828250 | − | 0.560359i | \(-0.189337\pi\) |
−0.408021 | + | 0.912972i | \(0.633781\pi\) | |||||||
\(282\) | 117.637 | + | 203.753i | 0.0248411 | + | 0.0430260i | ||||
\(283\) | 4382.50 | + | 1595.10i | 0.920539 | + | 0.335049i | 0.758453 | − | 0.651728i | \(-0.225956\pi\) |
0.162086 | + | 0.986777i | \(0.448178\pi\) | |||||||
\(284\) | 92.0533 | − | 522.060i | 0.0192336 | − | 0.109079i | ||||
\(285\) | 3.23121 | − | 5.59662i | 0.000671580 | − | 0.00116321i | ||||
\(286\) | −942.889 | − | 1633.13i | −0.194945 | − | 0.337654i | ||||
\(287\) | −189.835 | + | 69.0942i | −0.0390439 | + | 0.0142108i | ||||
\(288\) | −430.880 | + | 746.307i | −0.0881593 | + | 0.152696i | ||||
\(289\) | −3734.99 | + | 3134.03i | −0.760225 | + | 0.637905i | ||||
\(290\) | 456.000 | 0.0923353 | ||||||||
\(291\) | −230.496 | + | 193.409i | −0.0464327 | + | 0.0389616i | ||||
\(292\) | 2327.16 | + | 847.017i | 0.466393 | + | 0.169753i | ||||
\(293\) | 1269.16 | + | 7197.79i | 0.253056 | + | 1.43515i | 0.801014 | + | 0.598645i | \(0.204294\pi\) |
−0.547958 | + | 0.836506i | \(0.684595\pi\) | |||||||
\(294\) | −31.4238 | + | 178.213i | −0.00623358 | + | 0.0353524i | ||||
\(295\) | 7058.77 | 1.39314 | ||||||||
\(296\) | −1266.69 | + | 1279.56i | −0.248733 | + | 0.251261i | ||||
\(297\) | 264.292 | 0.0516356 | ||||||||
\(298\) | −219.180 | + | 1243.03i | −0.0426065 | + | 0.241634i | ||||
\(299\) | −745.764 | − | 4229.44i | −0.144243 | − | 0.818042i | ||||
\(300\) | 146.199 | + | 53.2120i | 0.0281359 | + | 0.0102406i | ||||
\(301\) | −392.685 | + | 329.502i | −0.0751959 | + | 0.0630969i | ||||
\(302\) | 4310.61 | 0.821351 | ||||||||
\(303\) | −33.1002 | + | 27.7744i | −0.00627577 | + | 0.00526600i | ||||
\(304\) | −11.8495 | + | 20.5239i | −0.00223557 | + | 0.00387212i | ||||
\(305\) | −5514.92 | + | 2007.27i | −1.03536 | + | 0.376839i | ||||
\(306\) | 164.520 | + | 284.957i | 0.0307352 | + | 0.0532350i | ||||
\(307\) | 4831.36 | − | 8368.17i | 0.898177 | − | 1.55569i | 0.0683551 | − | 0.997661i | \(-0.478225\pi\) |
0.829822 | − | 0.558028i | \(-0.188442\pi\) | |||||||
\(308\) | 12.5658 | − | 71.2642i | 0.00232468 | − | 0.0131839i | ||||
\(309\) | 155.721 | + | 56.6777i | 0.0286688 | + | 0.0104346i | ||||
\(310\) | 96.3076 | + | 166.810i | 0.0176449 | + | 0.0305618i | ||||
\(311\) | 977.114 | + | 819.896i | 0.178158 | + | 0.149492i | 0.727506 | − | 0.686102i | \(-0.240679\pi\) |
−0.549348 | + | 0.835594i | \(0.685124\pi\) | |||||||
\(312\) | −82.5083 | − | 69.2327i | −0.0149715 | − | 0.0125626i | ||||
\(313\) | 900.318 | − | 327.689i | 0.162585 | − | 0.0591759i | −0.259446 | − | 0.965758i | \(-0.583540\pi\) |
0.422030 | + | 0.906582i | \(0.361318\pi\) | |||||||
\(314\) | −787.821 | − | 4467.95i | −0.141590 | − | 0.802998i | ||||
\(315\) | −75.3183 | − | 427.151i | −0.0134721 | − | 0.0764039i | ||||
\(316\) | 2619.83 | − | 953.539i | 0.466382 | − | 0.169749i | ||||
\(317\) | −4769.79 | − | 4002.33i | −0.845104 | − | 0.709127i | 0.113602 | − | 0.993526i | \(-0.463761\pi\) |
−0.958706 | + | 0.284400i | \(0.908206\pi\) | |||||||
\(318\) | 258.093 | + | 216.565i | 0.0455129 | + | 0.0381899i | ||||
\(319\) | 128.048 | + | 221.785i | 0.0224743 | + | 0.0389266i | ||||
\(320\) | −991.926 | − | 361.031i | −0.173282 | − | 0.0630696i | ||||
\(321\) | −75.7141 | + | 429.396i | −0.0131649 | + | 0.0746621i | ||||
\(322\) | 82.4006 | − | 142.722i | 0.0142609 | − | 0.0247006i | ||||
\(323\) | 4.52439 | + | 7.83648i | 0.000779393 | + | 0.00134995i | ||||
\(324\) | −2718.86 | + | 989.583i | −0.466196 | + | 0.169682i | ||||
\(325\) | 3741.75 | − | 6480.91i | 0.638631 | − | 1.10614i | ||||
\(326\) | −5159.73 | + | 4329.53i | −0.876598 | + | 0.735553i | ||||
\(327\) | −365.764 | −0.0618557 | ||||||||
\(328\) | −1267.81 | + | 1063.82i | −0.213424 | + | 0.179084i | ||||
\(329\) | 408.072 | + | 148.526i | 0.0683822 | + | 0.0248891i | ||||
\(330\) | 28.0716 | + | 159.202i | 0.00468269 | + | 0.0265569i | ||||
\(331\) | 1466.86 | − | 8318.96i | 0.243582 | − | 1.38142i | −0.580180 | − | 0.814488i | \(-0.697018\pi\) |
0.823762 | − | 0.566935i | \(-0.191871\pi\) | |||||||
\(332\) | 4570.28 | 0.755502 | ||||||||
\(333\) | −6035.12 | + | 558.764i | −0.993161 | + | 0.0919522i | ||||
\(334\) | −5016.63 | −0.821849 | ||||||||
\(335\) | 1133.91 | − | 6430.70i | 0.184931 | − | 1.04880i | ||||
\(336\) | −0.717700 | − | 4.07028i | −0.000116529 | − | 0.000660869i | ||||
\(337\) | −8329.32 | − | 3031.63i | −1.34637 | − | 0.490039i | −0.434558 | − | 0.900644i | \(-0.643095\pi\) |
−0.911813 | + | 0.410605i | \(0.865318\pi\) | |||||||
\(338\) | −602.676 | + | 505.705i | −0.0969860 | + | 0.0813809i | ||||
\(339\) | −19.9753 | −0.00320032 | ||||||||
\(340\) | −308.751 | + | 259.073i | −0.0492482 | + | 0.0413242i | ||||
\(341\) | −54.0875 | + | 93.6823i | −0.00858945 | + | 0.0148774i | ||||
\(342\) | −74.9655 | + | 27.2852i | −0.0118528 | + | 0.00431408i | ||||
\(343\) | 334.480 | + | 579.336i | 0.0526537 | + | 0.0911989i | ||||
\(344\) | −2099.76 | + | 3636.90i | −0.329104 | + | 0.570024i | ||||
\(345\) | −63.9303 | + | 362.567i | −0.00997650 | + | 0.0565795i | ||||
\(346\) | 832.512 | + | 303.010i | 0.129353 | + | 0.0470806i | ||||
\(347\) | 1991.62 | + | 3449.59i | 0.308114 | + | 0.533670i | 0.977950 | − | 0.208840i | \(-0.0669687\pi\) |
−0.669835 | + | 0.742510i | \(0.733635\pi\) | |||||||
\(348\) | 11.2049 | + | 9.40204i | 0.00172600 | + | 0.00144828i | ||||
\(349\) | 2939.95 | + | 2466.91i | 0.450923 | + | 0.378369i | 0.839778 | − | 0.542930i | \(-0.182685\pi\) |
−0.388856 | + | 0.921299i | \(0.627129\pi\) | |||||||
\(350\) | 269.849 | − | 98.2169i | 0.0412115 | − | 0.0149998i | ||||
\(351\) | −126.082 | − | 715.049i | −0.0191732 | − | 0.108736i | ||||
\(352\) | −102.944 | − | 583.823i | −0.0155878 | − | 0.0884031i | ||||
\(353\) | −4155.40 | + | 1512.44i | −0.626544 | + | 0.228043i | −0.635726 | − | 0.771915i | \(-0.719299\pi\) |
0.00918264 | + | 0.999958i | \(0.497077\pi\) | |||||||
\(354\) | 173.449 | + | 145.541i | 0.0260416 | + | 0.0218515i | ||||
\(355\) | 1674.47 | + | 1405.04i | 0.250342 | + | 0.210062i | ||||
\(356\) | −2010.48 | − | 3482.25i | −0.299312 | − | 0.518424i | ||||
\(357\) | −1.48293 | − | 0.539742i | −0.000219846 | − | 8.00173e-5i | ||||
\(358\) | −1196.15 | + | 6783.69i | −0.176588 | + | 1.00148i | ||||
\(359\) | 276.211 | − | 478.411i | 0.0406068 | − | 0.0703330i | −0.845008 | − | 0.534754i | \(-0.820404\pi\) |
0.885614 | + | 0.464421i | \(0.153738\pi\) | |||||||
\(360\) | −1776.68 | − | 3077.31i | −0.260110 | − | 0.450523i | ||||
\(361\) | 6443.29 | − | 2345.17i | 0.939392 | − | 0.341911i | ||||
\(362\) | −957.303 | + | 1658.10i | −0.138991 | + | 0.240739i | ||||
\(363\) | 200.167 | − | 167.960i | 0.0289422 | − | 0.0242854i | ||||
\(364\) | −198.802 | −0.0286265 | ||||||||
\(365\) | −7822.54 | + | 6563.89i | −1.12178 | + | 0.941287i | ||||
\(366\) | −176.900 | − | 64.3865i | −0.0252643 | − | 0.00919545i | ||||
\(367\) | 11.6655 | + | 66.1584i | 0.00165922 | + | 0.00940992i | 0.985626 | − | 0.168941i | \(-0.0540348\pi\) |
−0.983967 | + | 0.178351i | \(0.942924\pi\) | |||||||
\(368\) | 234.445 | − | 1329.60i | 0.0332100 | − | 0.188343i | ||||
\(369\) | −5571.17 | −0.785972 | ||||||||
\(370\) | −1957.74 | − | 7161.36i | −0.275076 | − | 1.00622i | ||||
\(371\) | 621.868 | 0.0870237 | ||||||||
\(372\) | −1.07288 | + | 6.08460i | −0.000149533 | + | 0.000848042i | ||||
\(373\) | 328.203 | + | 1861.33i | 0.0455595 | + | 0.258381i | 0.999077 | − | 0.0429571i | \(-0.0136779\pi\) |
−0.953517 | + | 0.301338i | \(0.902567\pi\) | |||||||
\(374\) | −212.705 | − | 77.4182i | −0.0294083 | − | 0.0107037i | ||||
\(375\) | −73.6510 | + | 61.8005i | −0.0101422 | + | 0.00851031i | ||||
\(376\) | 3557.63 | 0.487954 | ||||||||
\(377\) | 538.960 | − | 452.241i | 0.0736282 | − | 0.0617814i | ||||
\(378\) | 13.9310 | − | 24.1293i | 0.00189560 | − | 0.00328327i | ||||
\(379\) | −6723.85 | + | 2447.28i | −0.911296 | + | 0.331684i | −0.754770 | − | 0.655989i | \(-0.772252\pi\) |
−0.156525 | + | 0.987674i | \(0.550029\pi\) | |||||||
\(380\) | −48.8598 | − | 84.6277i | −0.00659594 | − | 0.0114245i | ||||
\(381\) | 59.7108 | − | 103.422i | 0.00802907 | − | 0.0139068i | ||||
\(382\) | −719.644 | + | 4081.30i | −0.0963879 | + | 0.546643i | ||||
\(383\) | 331.301 | + | 120.584i | 0.0442002 | + | 0.0160876i | 0.364026 | − | 0.931389i | \(-0.381402\pi\) |
−0.319825 | + | 0.947476i | \(0.603624\pi\) | |||||||
\(384\) | −16.9298 | − | 29.3234i | −0.00224986 | − | 0.00389688i | ||||
\(385\) | 228.574 | + | 191.797i | 0.0302577 | + | 0.0253892i | ||||
\(386\) | −4633.50 | − | 3887.97i | −0.610981 | − | 0.512674i | ||||
\(387\) | −13284.1 | + | 4835.02i | −1.74488 | + | 0.635086i | ||||
\(388\) | 790.072 | + | 4480.72i | 0.103376 | + | 0.586273i | ||||
\(389\) | 1793.72 | + | 10172.7i | 0.233793 | + | 1.32590i | 0.845141 | + | 0.534543i | \(0.179516\pi\) |
−0.611348 | + | 0.791361i | \(0.709373\pi\) | |||||||
\(390\) | 417.333 | − | 151.897i | 0.0541859 | − | 0.0197220i | ||||
\(391\) | −394.899 | − | 331.359i | −0.0510764 | − | 0.0428582i | ||||
\(392\) | 2096.18 | + | 1758.91i | 0.270085 | + | 0.226628i | ||||
\(393\) | −59.4292 | − | 102.934i | −0.00762801 | − | 0.0132121i | ||||
\(394\) | −1974.16 | − | 718.535i | −0.252428 | − | 0.0918763i | ||||
\(395\) | −1996.23 | + | 11321.2i | −0.254282 | + | 1.44210i | ||||
\(396\) | 997.807 | − | 1728.25i | 0.126620 | − | 0.219313i | ||||
\(397\) | −4141.74 | − | 7173.70i | −0.523597 | − | 0.906896i | −0.999623 | − | 0.0274652i | \(-0.991256\pi\) |
0.476026 | − | 0.879431i | \(-0.342077\pi\) | |||||||
\(398\) | 9816.03 | − | 3572.74i | 1.23626 | − | 0.449963i | ||||
\(399\) | 0.191307 | − | 0.331354i | 2.40034e−5 | − | 4.15751e-5i | ||||
\(400\) | 1802.18 | − | 1512.21i | 0.225273 | − | 0.189026i | ||||
\(401\) | 9257.29 | 1.15284 | 0.576418 | − | 0.817155i | \(-0.304450\pi\) | ||||
0.576418 | + | 0.817155i | \(0.304450\pi\) | |||||||
\(402\) | 160.454 | − | 134.637i | 0.0199072 | − | 0.0167042i | ||||
\(403\) | 279.263 | + | 101.644i | 0.0345188 | + | 0.0125638i | ||||
\(404\) | 113.458 | + | 643.451i | 0.0139721 | + | 0.0792398i | ||||
\(405\) | 2071.69 | − | 11749.1i | 0.254180 | − | 1.44153i | ||||
\(406\) | 26.9980 | 0.00330022 | ||||||||
\(407\) | 2933.33 | − | 2963.14i | 0.357247 | − | 0.360878i | ||||
\(408\) | −12.9284 | −0.00156875 | ||||||||
\(409\) | 1626.50 | − | 9224.32i | 0.196638 | − | 1.11519i | −0.713428 | − | 0.700729i | \(-0.752858\pi\) |
0.910066 | − | 0.414463i | \(-0.136031\pi\) | |||||||
\(410\) | −1185.01 | − | 6720.55i | −0.142741 | − | 0.809523i | ||||
\(411\) | −517.690 | − | 188.424i | −0.0621309 | − | 0.0226138i | ||||
\(412\) | 1919.56 | − | 1610.70i | 0.229539 | − | 0.192606i | ||||
\(413\) | 417.922 | 0.0497932 | ||||||||
\(414\) | 3481.54 | − | 2921.36i | 0.413305 | − | 0.346804i | ||||
\(415\) | −9422.50 | + | 16320.3i | −1.11454 | + | 1.93043i | ||||
\(416\) | −1530.44 | + | 557.035i | −0.180375 | + | 0.0656512i | ||||
\(417\) | −338.179 | − | 585.744i | −0.0397140 | − | 0.0687866i | ||||
\(418\) | 27.4403 | − | 47.5280i | 0.00321088 | − | 0.00556141i | ||||
\(419\) | 2075.27 | − | 11769.4i | 0.241966 | − | 1.37226i | −0.585469 | − | 0.810694i | \(-0.699090\pi\) |
0.827435 | − | 0.561561i | \(-0.189799\pi\) | |||||||
\(420\) | 16.0145 | + | 5.82879i | 0.00186054 | + | 0.000677180i | ||||
\(421\) | 3564.67 | + | 6174.20i | 0.412664 | + | 0.714755i | 0.995180 | − | 0.0980640i | \(-0.0312650\pi\) |
−0.582516 | + | 0.812819i | \(0.697932\pi\) | |||||||
\(422\) | 3589.88 | + | 3012.26i | 0.414105 | + | 0.347476i | ||||
\(423\) | 9174.06 | + | 7697.95i | 1.05451 | + | 0.884840i | ||||
\(424\) | 4787.34 | − | 1742.45i | 0.548334 | − | 0.199577i | ||||
\(425\) | −155.983 | − | 884.622i | −0.0178030 | − | 0.100966i | ||||
\(426\) | 12.1754 | + | 69.0500i | 0.00138474 | + | 0.00785324i | ||||
\(427\) | −326.517 | + | 118.842i | −0.0370053 | + | 0.0134688i | ||||
\(428\) | 5050.65 | + | 4238.00i | 0.570403 | + | 0.478625i | ||||
\(429\) | 191.068 | + | 160.325i | 0.0215031 | + | 0.0180433i | ||||
\(430\) | −8658.12 | − | 14996.3i | −0.971004 | − | 1.68183i | ||||
\(431\) | 1439.16 | + | 523.813i | 0.160840 | + | 0.0585410i | 0.421185 | − | 0.906975i | \(-0.361614\pi\) |
−0.260345 | + | 0.965516i | \(0.583836\pi\) | |||||||
\(432\) | 39.6364 | − | 224.789i | 0.00441437 | − | 0.0250351i | ||||
\(433\) | 349.783 | − | 605.842i | 0.0388210 | − | 0.0672400i | −0.845962 | − | 0.533243i | \(-0.820973\pi\) |
0.884783 | + | 0.466003i | \(0.154306\pi\) | |||||||
\(434\) | 5.70200 | + | 9.87615i | 0.000630656 | + | 0.00109233i | ||||
\(435\) | −56.6753 | + | 20.6281i | −0.00624683 | + | 0.00227366i | ||||
\(436\) | −2765.40 | + | 4789.81i | −0.303758 | + | 0.526125i | ||||
\(437\) | 95.7443 | − | 80.3390i | 0.0104807 | − | 0.00879436i | ||||
\(438\) | −327.554 | −0.0357332 | ||||||||
\(439\) | −8512.99 | + | 7143.25i | −0.925519 | + | 0.776603i | −0.975007 | − | 0.222172i | \(-0.928685\pi\) |
0.0494886 | + | 0.998775i | \(0.484241\pi\) | |||||||
\(440\) | 2297.04 | + | 836.055i | 0.248880 | + | 0.0905849i | ||||
\(441\) | 1599.53 | + | 9071.38i | 0.172717 | + | 0.979525i | ||||
\(442\) | −107.985 | + | 612.412i | −0.0116206 | + | 0.0659038i | ||||
\(443\) | −416.687 | −0.0446894 | −0.0223447 | − | 0.999750i | \(-0.507113\pi\) | ||||
−0.0223447 | + | 0.999750i | \(0.507113\pi\) | |||||||
\(444\) | 99.5506 | − | 216.336i | 0.0106407 | − | 0.0231235i | ||||
\(445\) | 16579.9 | 1.76621 | ||||||||
\(446\) | 2174.95 | − | 12334.8i | 0.230913 | − | 1.30957i | ||||
\(447\) | −28.9897 | − | 164.409i | −0.00306748 | − | 0.0173966i | ||||
\(448\) | −58.7281 | − | 21.3753i | −0.00619339 | − | 0.00225421i | ||||
\(449\) | −4271.38 | + | 3584.11i | −0.448950 | + | 0.376714i | −0.839046 | − | 0.544060i | \(-0.816886\pi\) |
0.390096 | + | 0.920774i | \(0.372442\pi\) | |||||||
\(450\) | 7919.38 | 0.829607 | ||||||||
\(451\) | 2935.92 | − | 2463.53i | 0.306534 | − | 0.257213i | ||||
\(452\) | −151.025 | + | 261.583i | −0.0157160 | + | 0.0272209i | ||||
\(453\) | −535.757 | + | 195.000i | −0.0555675 | + | 0.0202249i | ||||
\(454\) | 4575.56 | + | 7925.10i | 0.472999 | + | 0.819259i | ||||
\(455\) | 409.868 | − | 709.913i | 0.0422306 | − | 0.0731455i | ||||
\(456\) | 0.544305 | − | 3.08690i | 5.58978e−5 | − | 0.000317012i | ||||
\(457\) | 14147.4 | + | 5149.22i | 1.44811 | + | 0.527069i | 0.942063 | − | 0.335437i | \(-0.108884\pi\) |
0.506047 | + | 0.862506i | \(0.331106\pi\) | |||||||
\(458\) | −1821.09 | − | 3154.22i | −0.185795 | − | 0.321806i | ||||
\(459\) | −66.7635 | − | 56.0213i | −0.00678923 | − | 0.00569684i | ||||
\(460\) | 4264.59 | + | 3578.42i | 0.432256 | + | 0.362706i | ||||
\(461\) | 7084.80 | − | 2578.66i | 0.715775 | − | 0.260521i | 0.0416438 | − | 0.999133i | \(-0.486741\pi\) |
0.674131 | + | 0.738612i | \(0.264518\pi\) | |||||||
\(462\) | 1.66201 | + | 9.42572i | 0.000167367 | + | 0.000949186i | ||||
\(463\) | 1926.51 | + | 10925.8i | 0.193375 | + | 1.09668i | 0.914715 | + | 0.404100i | \(0.132415\pi\) |
−0.721340 | + | 0.692581i | \(0.756474\pi\) | |||||||
\(464\) | 207.839 | − | 75.6472i | 0.0207946 | − | 0.00756861i | ||||
\(465\) | −19.5159 | − | 16.3757i | −0.00194629 | − | 0.00163313i | ||||
\(466\) | −7650.92 | − | 6419.88i | −0.760562 | − | 0.638187i | ||||
\(467\) | −6699.95 | − | 11604.7i | −0.663891 | − | 1.14989i | −0.979585 | − | 0.201031i | \(-0.935571\pi\) |
0.315694 | − | 0.948861i | \(-0.397763\pi\) | |||||||
\(468\) | −5151.85 | − | 1875.12i | −0.508856 | − | 0.185208i | ||||
\(469\) | 67.1341 | − | 380.736i | 0.00660973 | − | 0.0374857i | ||||
\(470\) | −7334.73 | + | 12704.1i | −0.719843 | + | 1.24680i | ||||
\(471\) | 300.034 | + | 519.674i | 0.0293521 | + | 0.0508393i | ||||
\(472\) | 3217.30 | − | 1171.00i | 0.313746 | − | 0.114194i | ||||
\(473\) | 4862.51 | − | 8422.11i | 0.472681 | − | 0.818708i | ||||
\(474\) | −282.477 | + | 237.027i | −0.0273726 | + | 0.0229683i | ||||
\(475\) | 217.788 | 0.0210374 | ||||||||
\(476\) | −18.2800 | + | 15.3387i | −0.00176021 | + | 0.00147699i | ||||
\(477\) | 16115.4 | + | 5865.52i | 1.54690 | + | 0.563027i | ||||
\(478\) | −716.246 | − | 4062.03i | −0.0685363 | − | 0.388689i | ||||
\(479\) | 2272.63 | − | 12888.7i | 0.216783 | − | 1.22944i | −0.661002 | − | 0.750384i | \(-0.729869\pi\) |
0.877785 | − | 0.479054i | \(-0.159020\pi\) | |||||||
\(480\) | 139.616 | 0.0132762 | ||||||||
\(481\) | −9416.23 | − | 6522.62i | −0.892605 | − | 0.618307i | ||||
\(482\) | 5397.32 | 0.510044 | ||||||||
\(483\) | −3.78507 | + | 21.4662i | −0.000356576 | + | 0.00202225i | ||||
\(484\) | −686.112 | − | 3891.13i | −0.0644357 | − | 0.365433i | ||||
\(485\) | −17629.3 | − | 6416.55i | −1.65053 | − | 0.600743i | ||||
\(486\) | 883.290 | − | 741.169i | 0.0824421 | − | 0.0691771i | ||||
\(487\) | −18356.7 | −1.70805 | −0.854025 | − | 0.520231i | \(-0.825846\pi\) | ||||
−0.854025 | + | 0.520231i | \(0.825846\pi\) | |||||||
\(488\) | −2180.64 | + | 1829.77i | −0.202281 | + | 0.169734i | ||||
\(489\) | 445.437 | − | 771.519i | 0.0411929 | − | 0.0713482i | ||||
\(490\) | −10602.6 | + | 3859.05i | −0.977508 | + | 0.355784i | ||||
\(491\) | −3694.83 | − | 6399.63i | −0.339603 | − | 0.588210i | 0.644755 | − | 0.764390i | \(-0.276960\pi\) |
−0.984358 | + | 0.176179i | \(0.943626\pi\) | |||||||
\(492\) | 109.449 | − | 189.572i | 0.0100292 | − | 0.0173710i | ||||
\(493\) | 14.6647 | − | 83.1677i | 0.00133969 | − | 0.00759774i | ||||
\(494\) | −141.679 | − | 51.5669i | −0.0129037 | − | 0.00469657i | ||||
\(495\) | 4114.34 | + | 7126.24i | 0.373587 | + | 0.647072i | ||||
\(496\) | 71.5684 | + | 60.0530i | 0.00647886 | + | 0.00543641i | ||||
\(497\) | 99.1386 | + | 83.1872i | 0.00894764 | + | 0.00750796i | ||||
\(498\) | −568.031 | + | 206.746i | −0.0511126 | + | 0.0186035i | ||||
\(499\) | 2770.14 | + | 15710.2i | 0.248514 | + | 1.40939i | 0.812188 | + | 0.583396i | \(0.198276\pi\) |
−0.563674 | + | 0.825997i | \(0.690613\pi\) | |||||||
\(500\) | 252.454 | + | 1431.74i | 0.0225802 | + | 0.128058i | ||||
\(501\) | 623.506 | − | 226.938i | 0.0556012 | − | 0.0202372i | ||||
\(502\) | 11506.0 | + | 9654.70i | 1.02299 | + | 0.858387i | ||||
\(503\) | 4306.44 | + | 3613.53i | 0.381739 | + | 0.320317i | 0.813385 | − | 0.581726i | \(-0.197623\pi\) |
−0.431646 | + | 0.902043i | \(0.642067\pi\) | |||||||
\(504\) | −105.191 | − | 182.195i | −0.00929674 | − | 0.0161024i | ||||
\(505\) | −2531.65 | − | 921.444i | −0.223083 | − | 0.0811955i | ||||
\(506\) | −542.913 | + | 3079.01i | −0.0476985 | + | 0.270511i | ||||
\(507\) | 52.0287 | − | 90.1164i | 0.00455755 | − | 0.00789390i | ||||
\(508\) | −902.900 | − | 1563.87i | −0.0788577 | − | 0.136586i | ||||
\(509\) | 9225.05 | − | 3357.64i | 0.803327 | − | 0.292387i | 0.0924623 | − | 0.995716i | \(-0.470526\pi\) |
0.710864 | + | 0.703329i | \(0.248304\pi\) | |||||||
\(510\) | 26.6544 | − | 46.1667i | 0.00231426 | − | 0.00400842i | ||||
\(511\) | −463.142 | + | 388.622i | −0.0400943 | + | 0.0336431i | ||||
\(512\) | −512.000 | −0.0441942 | ||||||||
\(513\) | 16.1870 | − | 13.5825i | 0.00139313 | − | 0.00116897i | ||||
\(514\) | −1506.40 | − | 548.285i | −0.129269 | − | 0.0470502i | ||||
\(515\) | 1794.20 | + | 10175.4i | 0.153518 | + | 0.870646i | ||||
\(516\) | 96.4525 | − | 547.009i | 0.00822885 | − | 0.0466681i | ||||
\(517\) | −8238.55 | −0.700834 | ||||||||
\(518\) | −115.910 | − | 423.996i | −0.00983166 | − | 0.0359640i | ||||
\(519\) | −117.178 | −0.00991052 | ||||||||
\(520\) | 1166.15 | − | 6613.57i | 0.0983444 | − | 0.557739i | ||||
\(521\) | 2611.24 | + | 14809.1i | 0.219579 | + | 1.24530i | 0.872781 | + | 0.488111i | \(0.162314\pi\) |
−0.653202 | + | 0.757184i | \(0.726575\pi\) | |||||||
\(522\) | 699.639 | + | 254.648i | 0.0586635 | + | 0.0213518i | ||||
\(523\) | −49.8512 | + | 41.8302i | −0.00416796 | + | 0.00349733i | −0.644869 | − | 0.764293i | \(-0.723088\pi\) |
0.640701 | + | 0.767790i | \(0.278644\pi\) | |||||||
\(524\) | −1797.28 | −0.149837 | ||||||||
\(525\) | −29.0959 | + | 24.4143i | −0.00241876 | + | 0.00202958i | ||||
\(526\) | 4417.47 | − | 7651.29i | 0.366181 | − | 0.634244i | ||||
\(527\) | 33.5208 | − | 12.2006i | 0.00277076 | − | 0.00100847i | ||||
\(528\) | 39.2051 | + | 67.9053i | 0.00323141 | + | 0.00559697i | ||||
\(529\) | 2523.33 | − | 4370.54i | 0.207392 | − | 0.359213i | ||||
\(530\) | −3647.81 | + | 20687.8i | −0.298964 | + | 1.69551i | ||||
\(531\) | 10830.2 | + | 3941.88i | 0.885108 | + | 0.322153i | ||||
\(532\) | −2.89280 | − | 5.01048i | −0.000235750 | − | 0.000408331i | ||||
\(533\) | −8065.75 | − | 6767.97i | −0.655472 | − | 0.550006i | ||||
\(534\) | 407.405 | + | 341.854i | 0.0330153 | + | 0.0277031i | ||||
\(535\) | −25546.6 | + | 9298.19i | −2.06444 | + | 0.751394i | ||||
\(536\) | −549.988 | − | 3119.14i | −0.0443206 | − | 0.251355i | ||||
\(537\) | −158.208 | − | 897.241i | −0.0127135 | − | 0.0721021i | ||||
\(538\) | 9446.92 | − | 3438.40i | 0.757037 | − | 0.275539i | ||||
\(539\) | −4854.21 | − | 4073.17i | −0.387914 | − | 0.325499i | ||||
\(540\) | 720.993 | + | 604.985i | 0.0574567 | + | 0.0482119i | ||||
\(541\) | 1699.95 | + | 2944.39i | 0.135095 | + | 0.233991i | 0.925634 | − | 0.378421i | \(-0.123533\pi\) |
−0.790539 | + | 0.612412i | \(0.790199\pi\) | |||||||
\(542\) | −6962.10 | − | 2534.00i | −0.551749 | − | 0.200820i | ||||
\(543\) | 43.9737 | − | 249.387i | 0.00347531 | − | 0.0197094i | ||||
\(544\) | −97.7466 | + | 169.302i | −0.00770377 | + | 0.0133433i | ||||
\(545\) | −11402.8 | − | 19750.2i | −0.896224 | − | 1.55231i | ||||
\(546\) | 24.7087 | − | 8.99323i | 0.00193669 | − | 0.000704898i | ||||
\(547\) | 3547.20 | − | 6143.93i | 0.277271 | − | 0.480247i | −0.693435 | − | 0.720520i | \(-0.743903\pi\) |
0.970706 | + | 0.240272i | \(0.0772367\pi\) | |||||||
\(548\) | −6381.53 | + | 5354.74i | −0.497456 | + | 0.417415i | ||||
\(549\) | −9582.45 | −0.744935 | ||||||||
\(550\) | −4173.38 | + | 3501.88i | −0.323552 | + | 0.271492i | ||||
\(551\) | 19.2405 | + | 7.00296i | 0.00148761 | + | 0.000541445i | ||||
\(552\) | 31.0087 | + | 175.859i | 0.00239097 | + | 0.0135599i | ||||
\(553\) | −118.189 | + | 670.283i | −0.00908844 | + | 0.0515431i | ||||
\(554\) | 5563.07 | 0.426629 | ||||||||
\(555\) | 567.282 | + | 801.508i | 0.0433870 | + | 0.0613011i | ||||
\(556\) | −10227.4 | −0.780103 | ||||||||
\(557\) | 3658.01 | − | 20745.6i | 0.278267 | − | 1.57813i | −0.450121 | − | 0.892967i | \(-0.648619\pi\) |
0.728389 | − | 0.685164i | \(-0.240270\pi\) | |||||||
\(558\) | 54.6115 | + | 309.717i | 0.00414317 | + | 0.0234971i | ||||
\(559\) | −25106.0 | − | 9137.82i | −1.89959 | − | 0.691393i | ||||
\(560\) | 197.409 | − | 165.646i | 0.0148965 | − | 0.0124997i | ||||
\(561\) | 29.9388 | 0.00225315 | ||||||||
\(562\) | −3958.91 | + | 3321.92i | −0.297147 | + | 0.249336i | ||||
\(563\) | 8023.84 | − | 13897.7i | 0.600647 | − | 1.04035i | −0.392076 | − | 0.919933i | \(-0.628243\pi\) |
0.992723 | − | 0.120419i | \(-0.0384238\pi\) | |||||||
\(564\) | −442.171 | + | 160.937i | −0.0330120 | + | 0.0120154i | ||||
\(565\) | −622.735 | − | 1078.61i | −0.0463693 | − | 0.0803139i | ||||
\(566\) | −4663.76 | + | 8077.87i | −0.346347 | + | 0.599891i | ||||
\(567\) | 122.657 | − | 695.620i | 0.00908482 | − | 0.0515226i | ||||
\(568\) | 996.288 | + | 362.619i | 0.0735974 | + | 0.0267873i | ||||
\(569\) | −2910.47 | − | 5041.07i | −0.214434 | − | 0.371411i | 0.738663 | − | 0.674075i | \(-0.235457\pi\) |
−0.953097 | + | 0.302664i | \(0.902124\pi\) | |||||||
\(570\) | 9.90100 | + | 8.30793i | 0.000727557 | + | 0.000610493i | ||||
\(571\) | 12226.5 | + | 10259.2i | 0.896079 | + | 0.751900i | 0.969420 | − | 0.245407i | \(-0.0789217\pi\) |
−0.0733408 | + | 0.997307i | \(0.523366\pi\) | |||||||
\(572\) | 3544.10 | − | 1289.95i | 0.259067 | − | 0.0942928i | ||||
\(573\) | −95.1833 | − | 539.811i | −0.00693951 | − | 0.0393559i | ||||
\(574\) | −70.1601 | − | 397.898i | −0.00510179 | − | 0.0289337i | ||||
\(575\) | −11659.0 | + | 4243.52i | −0.845588 | + | 0.307769i | ||||
\(576\) | −1320.29 | − | 1107.86i | −0.0955074 | − | 0.0801402i | ||||
\(577\) | −585.314 | − | 491.137i | −0.0422304 | − | 0.0354355i | 0.621428 | − | 0.783471i | \(-0.286553\pi\) |
−0.663659 | + | 0.748036i | \(0.730997\pi\) | |||||||
\(578\) | −4875.68 | − | 8444.92i | −0.350868 | − | 0.607721i | ||||
\(579\) | 751.768 | + | 273.621i | 0.0539593 | + | 0.0196396i | ||||
\(580\) | −158.367 | + | 898.145i | −0.0113377 | + | 0.0642990i | ||||
\(581\) | −557.870 | + | 966.259i | −0.0398354 | + | 0.0689969i | ||||
\(582\) | −300.891 | − | 521.159i | −0.0214301 | − | 0.0371181i | ||||
\(583\) | −11086.2 | + | 4035.06i | −0.787556 | + | 0.286647i | ||||
\(584\) | −2476.51 | + | 4289.44i | −0.175477 | + | 0.303936i | ||||
\(585\) | 17317.5 | − | 14531.1i | 1.22391 | − | 1.02699i | ||||
\(586\) | −14617.7 | −1.03046 | ||||||||
\(587\) | 19552.4 | − | 16406.4i | 1.37481 | − | 1.15360i | 0.403724 | − | 0.914881i | \(-0.367716\pi\) |
0.971088 | − | 0.238723i | \(-0.0767287\pi\) | |||||||
\(588\) | −340.098 | − | 123.785i | −0.0238527 | − | 0.00868168i | ||||
\(589\) | 1.50185 | + | 8.51741i | 0.000105064 | + | 0.000595847i | ||||
\(590\) | −2451.48 | + | 13903.1i | −0.171061 | + | 0.970135i | ||||
\(591\) | 277.869 | 0.0193401 | ||||||||
\(592\) | −2080.33 | − | 2939.28i | −0.144428 | − | 0.204060i | ||||
\(593\) | 11884.2 | 0.822977 | 0.411489 | − | 0.911415i | \(-0.365009\pi\) | ||||
0.411489 | + | 0.911415i | \(0.365009\pi\) | |||||||
\(594\) | −91.7875 | + | 520.553i | −0.00634022 | + | 0.0359572i | ||||
\(595\) | −17.0862 | − | 96.9006i | −0.00117725 | − | 0.00667653i | ||||
\(596\) | −2372.17 | − | 863.400i | −0.163033 | − | 0.0593393i | ||||
\(597\) | −1058.39 | + | 888.098i | −0.0725581 | + | 0.0608834i | ||||
\(598\) | 8589.36 | 0.587367 | ||||||||
\(599\) | 18742.3 | − | 15726.6i | 1.27844 | − | 1.07274i | 0.284988 | − | 0.958531i | \(-0.408010\pi\) |
0.993457 | − | 0.114211i | \(-0.0364340\pi\) | |||||||
\(600\) | −155.581 | + | 269.475i | −0.0105860 | + | 0.0183354i | ||||
\(601\) | −2010.21 | + | 731.658i | −0.136437 | + | 0.0496588i | −0.409336 | − | 0.912384i | \(-0.634240\pi\) |
0.272899 | + | 0.962043i | \(0.412017\pi\) | |||||||
\(602\) | −512.614 | − | 887.873i | −0.0347053 | − | 0.0601113i | ||||
\(603\) | 5330.89 | − | 9233.37i | 0.360018 | − | 0.623569i | ||||
\(604\) | −1497.06 | + | 8490.25i | −0.100852 | + | 0.571959i | ||||
\(605\) | 15309.6 | + | 5572.24i | 1.02880 | + | 0.374453i | ||||
\(606\) | −43.2093 | − | 74.8407i | −0.00289646 | − | 0.00501682i | ||||
\(607\) | 441.444 | + | 370.416i | 0.0295184 | + | 0.0247689i | 0.657427 | − | 0.753518i | \(-0.271645\pi\) |
−0.627909 | + | 0.778287i | \(0.716089\pi\) | |||||||
\(608\) | −36.3089 | − | 30.4668i | −0.00242191 | − | 0.00203222i | ||||
\(609\) | −3.35552 | + | 1.22131i | −0.000223272 | + | 8.12644e-5i | ||||
\(610\) | −2038.23 | − | 11559.4i | −0.135288 | − | 0.767256i | ||||
\(611\) | 3930.27 | + | 22289.7i | 0.260232 | + | 1.47585i | ||||
\(612\) | −618.393 | + | 225.076i | −0.0408448 | + | 0.0148663i | ||||
\(613\) | −10097.3 | − | 8472.61i | −0.665293 | − | 0.558247i | 0.246375 | − | 0.969175i | \(-0.420760\pi\) |
−0.911668 | + | 0.410928i | \(0.865205\pi\) | |||||||
\(614\) | 14804.2 | + | 12422.2i | 0.973041 | + | 0.816478i | ||||
\(615\) | 451.301 | + | 781.677i | 0.0295906 | + | 0.0512524i | ||||
\(616\) | 135.999 | + | 49.4996i | 0.00889538 | + | 0.00323765i | ||||
\(617\) | −3499.51 | + | 19846.7i | −0.228339 | + | 1.29497i | 0.627859 | + | 0.778327i | \(0.283931\pi\) |
−0.856198 | + | 0.516647i | \(0.827180\pi\) | |||||||
\(618\) | −165.715 | + | 287.026i | −0.0107864 | + | 0.0186827i | ||||
\(619\) | 217.289 | + | 376.356i | 0.0141092 | + | 0.0244379i | 0.872994 | − | 0.487731i | \(-0.162175\pi\) |
−0.858885 | + | 0.512169i | \(0.828842\pi\) | |||||||
\(620\) | −361.998 | + | 131.757i | −0.0234487 | + | 0.00853463i | ||||
\(621\) | −601.899 | + | 1042.52i | −0.0388943 | + | 0.0673670i | ||||
\(622\) | −1954.23 | + | 1639.79i | −0.125976 | + | 0.105707i | ||||
\(623\) | 981.634 | 0.0631273 | ||||||||
\(624\) | 165.017 | − | 138.465i | 0.0105865 | − | 0.00888310i | ||||
\(625\) | 11638.0 | + | 4235.87i | 0.744830 | + | 0.271096i | ||||
\(626\) | 332.744 | + | 1887.09i | 0.0212446 | + | 0.120484i | ||||
\(627\) | −1.26047 | + | 7.14847i | −8.02843e−5 | + | 0.000455315i | ||||
\(628\) | 9073.76 | 0.576564 | ||||||||
\(629\) | −1369.09 | + | 126.757i | −0.0867870 | + | 0.00803521i | ||||
\(630\) | 867.481 | 0.0548592 | ||||||||
\(631\) | −814.881 | + | 4621.42i | −0.0514103 | + | 0.291562i | −0.999663 | − | 0.0259539i | \(-0.991738\pi\) |
0.948253 | + | 0.317516i | \(0.102849\pi\) | |||||||
\(632\) | 968.249 | + | 5491.21i | 0.0609413 | + | 0.345615i | ||||
\(633\) | −582.444 | − | 211.992i | −0.0365720 | − | 0.0133111i | ||||
\(634\) | 9539.58 | − | 8004.66i | 0.597579 | − | 0.501428i | ||||
\(635\) | 7446.00 | 0.465331 | ||||||||
\(636\) | −516.185 | + | 433.131i | −0.0321825 | + | 0.0270043i | ||||
\(637\) | −8704.34 | + | 15076.4i | −0.541411 | + | 0.937751i | ||||
\(638\) | −481.301 | + | 175.179i | −0.0298666 | + | 0.0108706i | ||||
\(639\) | 1784.50 | + | 3090.84i | 0.110475 | + | 0.191349i | ||||
\(640\) | 1055.59 | − | 1828.33i | 0.0651964 | − | 0.112923i | ||||
\(641\) | 2612.86 | − | 14818.3i | 0.161001 | − | 0.913083i | −0.792091 | − | 0.610403i | \(-0.791008\pi\) |
0.953092 | − | 0.302680i | \(-0.0978814\pi\) | |||||||
\(642\) | −819.450 | − | 298.255i | −0.0503755 | − | 0.0183352i | ||||
\(643\) | −2519.81 | − | 4364.44i | −0.154544 | − | 0.267678i | 0.778349 | − | 0.627832i | \(-0.216057\pi\) |
−0.932893 | + | 0.360154i | \(0.882724\pi\) | |||||||
\(644\) | 252.490 | + | 211.864i | 0.0154495 | + | 0.0129637i | ||||
\(645\) | 1754.49 | + | 1472.19i | 0.107105 | + | 0.0898720i | ||||
\(646\) | −17.0062 | + | 6.18974i | −0.00103576 | + | 0.000376984i | ||||
\(647\) | 2971.00 | + | 16849.4i | 0.180529 | + | 1.02383i | 0.931567 | + | 0.363570i | \(0.118442\pi\) |
−0.751038 | + | 0.660259i | \(0.770447\pi\) | |||||||
\(648\) | −1004.85 | − | 5698.78i | −0.0609170 | − | 0.345477i | ||||
\(649\) | −7450.43 | + | 2711.73i | −0.450624 | + | 0.164014i | ||||
\(650\) | 11465.4 | + | 9620.61i | 0.691862 | + | 0.580541i | ||||
\(651\) | −1.15546 | − | 0.969544i | −6.95637e−5 | − | 5.83709e-5i | ||||
\(652\) | −6735.55 | − | 11666.3i | −0.404577 | − | 0.700748i | ||||
\(653\) | 21319.3 | + | 7759.60i | 1.27763 | + | 0.465018i | 0.889646 | − | 0.456650i | \(-0.150951\pi\) |
0.387979 | + | 0.921668i | \(0.373173\pi\) | |||||||
\(654\) | 127.029 | − | 720.415i | 0.00759512 | − | 0.0430741i | ||||
\(655\) | 3705.45 | − | 6418.02i | 0.221044 | − | 0.382859i | ||||
\(656\) | −1655.01 | − | 2866.56i | −0.0985018 | − | 0.170610i | ||||
\(657\) | −15667.6 | + | 5702.55i | −0.930368 | + | 0.338626i | ||||
\(658\) | −434.261 | + | 752.162i | −0.0257284 | + | 0.0445628i | ||||
\(659\) | −23016.5 | + | 19313.1i | −1.36054 | + | 1.14163i | −0.384723 | + | 0.923032i | \(0.625703\pi\) |
−0.975815 | + | 0.218596i | \(0.929852\pi\) | |||||||
\(660\) | −323.315 | −0.0190682 | ||||||||
\(661\) | 8631.94 | − | 7243.05i | 0.507933 | − | 0.426206i | −0.352468 | − | 0.935824i | \(-0.614658\pi\) |
0.860401 | + | 0.509618i | \(0.170213\pi\) | |||||||
\(662\) | 15875.7 | + | 5778.29i | 0.932065 | + | 0.339244i | ||||
\(663\) | −14.2826 | − | 81.0004i | −0.000836634 | − | 0.00474479i | ||||
\(664\) | −1587.24 | + | 9001.70i | −0.0927665 | + | 0.526105i | ||||
\(665\) | 23.8562 | 0.00139114 | ||||||||
\(666\) | 995.425 | − | 12080.9i | 0.0579158 | − | 0.702892i | ||||
\(667\) | −1166.46 | −0.0677147 | ||||||||
\(668\) | 1742.26 | − | 9880.83i | 0.100913 | − | 0.572306i | ||||
\(669\) | 287.669 | + | 1631.45i | 0.0166247 | + | 0.0942834i | ||||
\(670\) | 12272.2 | + | 4466.71i | 0.707636 | + | 0.257559i | ||||
\(671\) | 5049.80 | − | 4237.28i | 0.290529 | − | 0.243783i | ||||
\(672\) | 8.26614 | 0.000474514 | ||||||||
\(673\) | −3618.41 | + | 3036.21i | −0.207251 | + | 0.173904i | −0.740505 | − | 0.672051i | \(-0.765413\pi\) |
0.533254 | + | 0.845955i | \(0.320969\pi\) | |||||||
\(674\) | 8863.88 | − | 15352.7i | 0.506564 | − | 0.877394i | ||||
\(675\) | −1971.12 | + | 717.431i | −0.112398 | + | 0.0409095i | ||||
\(676\) | −786.738 | − | 1362.67i | −0.0447621 | − | 0.0775302i | ||||
\(677\) | −7687.48 | + | 13315.1i | −0.436416 | + | 0.755895i | −0.997410 | − | 0.0719249i | \(-0.977086\pi\) |
0.560994 | + | 0.827820i | \(0.310419\pi\) | |||||||
\(678\) | 6.93734 | − | 39.3436i | 0.000392960 | − | 0.00222859i | ||||
\(679\) | −1043.76 | − | 379.899i | −0.0589926 | − | 0.0214715i | ||||
\(680\) | −403.046 | − | 698.097i | −0.0227296 | − | 0.0393688i | ||||
\(681\) | −927.195 | − | 778.009i | −0.0521736 | − | 0.0437788i | ||||
\(682\) | −165.734 | − | 139.067i | −0.00930539 | − | 0.00780815i | ||||
\(683\) | −1805.29 | + | 657.070i | −0.101138 | + | 0.0368113i | −0.392094 | − | 0.919925i | \(-0.628249\pi\) |
0.290955 | + | 0.956737i | \(0.406027\pi\) | |||||||
\(684\) | −27.7061 | − | 157.129i | −0.00154879 | − | 0.00878360i | ||||
\(685\) | −5964.79 | − | 33828.0i | −0.332705 | − | 1.88686i | ||||
\(686\) | −1257.23 | + | 457.595i | −0.0699729 | + | 0.0254680i | ||||
\(687\) | 369.027 | + | 309.651i | 0.0204938 | + | 0.0171964i | ||||
\(688\) | −6434.05 | − | 5398.81i | −0.356534 | − | 0.299168i | ||||
\(689\) | 16205.8 | + | 28069.2i | 0.896067 | + | 1.55203i | ||||
\(690\) | −691.914 | − | 251.836i | −0.0381750 | − | 0.0138946i | ||||
\(691\) | −1697.06 | + | 9624.53i | −0.0934289 | + | 0.529862i | 0.901789 | + | 0.432178i | \(0.142255\pi\) |
−0.995217 | + | 0.0976842i | \(0.968856\pi\) | |||||||
\(692\) | −885.941 | + | 1534.49i | −0.0486682 | + | 0.0842958i | ||||
\(693\) | 243.594 | + | 421.917i | 0.0133526 | + | 0.0231274i | ||||
\(694\) | −7486.04 | + | 2724.70i | −0.409461 | + | 0.149032i | ||||
\(695\) | 21085.7 | − | 36521.5i | 1.15083 | − | 1.99329i | ||||
\(696\) | −22.4098 | + | 18.8041i | −0.00122046 | + | 0.00102409i | ||||
\(697\) | −1263.84 | −0.0686819 | ||||||||
\(698\) | −5879.90 | + | 4933.82i | −0.318850 | + | 0.267547i | ||||
\(699\) | 1241.33 | + | 451.808i | 0.0671696 | + | 0.0244477i | ||||
\(700\) | 99.7320 | + | 565.609i | 0.00538502 | + | 0.0305400i | ||||
\(701\) | −5439.08 | + | 30846.5i | −0.293054 | + | 1.66199i | 0.381952 | + | 0.924182i | \(0.375252\pi\) |
−0.675007 | + | 0.737812i | \(0.735859\pi\) | |||||||
\(702\) | 1452.16 | 0.0780744 | ||||||||
\(703\) | 27.3748 | − | 332.232i | 0.00146865 | − | 0.0178242i | ||||
\(704\) | 1185.66 | 0.0634747 | ||||||||
\(705\) | 336.921 | − | 1910.77i | 0.0179988 | − | 0.102076i | ||||
\(706\) | −1535.78 | − | 8709.82i | −0.0818692 | − | 0.464303i | ||||
\(707\) | −149.889 | − | 54.5551i | −0.00797335 | − | 0.00290206i | ||||
\(708\) | −346.899 | + | 291.082i | −0.0184142 | + | 0.0154513i | ||||
\(709\) | 11979.2 | 0.634540 | 0.317270 | − | 0.948335i | \(-0.397234\pi\) | ||||
0.317270 | + | 0.948335i | \(0.397234\pi\) | |||||||
\(710\) | −3348.93 | + | 2810.09i | −0.177019 | + | 0.148536i | ||||
\(711\) | −9384.98 | + | 16255.3i | −0.495027 | + | 0.857412i | ||||
\(712\) | 7556.93 | − | 2750.50i | 0.397764 | − | 0.144774i | ||||
\(713\) | −246.358 | − | 426.705i | −0.0129400 | − | 0.0224127i | ||||
\(714\) | 1.57810 | − | 2.73335i | 8.27156e−5 | − | 0.000143268i | ||||
\(715\) | −2700.50 | + | 15315.3i | −0.141249 | + | 0.801063i | ||||
\(716\) | −12945.8 | − | 4711.90i | −0.675711 | − | 0.245939i | ||||
\(717\) | 272.775 | + | 472.461i | 0.0142078 | + | 0.0246086i | ||||
\(718\) | 846.358 | + | 710.179i | 0.0439914 | + | 0.0369131i | ||||
\(719\) | −17665.1 | − | 14822.8i | −0.916269 | − | 0.768841i | 0.0570324 | − | 0.998372i | \(-0.481836\pi\) |
−0.973301 | + | 0.229531i | \(0.926281\pi\) | |||||||
\(720\) | 6678.15 | − | 2430.65i | 0.345666 | − | 0.125812i | ||||
\(721\) | 106.228 | + | 602.447i | 0.00548700 | + | 0.0311183i | ||||
\(722\) | 2381.34 | + | 13505.3i | 0.122749 | + | 0.696142i | ||||
\(723\) | −670.821 | + | 244.159i | −0.0345064 | + | 0.0125593i | ||||
\(724\) | −2933.35 | − | 2461.37i | −0.150576 | − | 0.126348i | ||||
\(725\) | −1557.04 | − | 1306.51i | −0.0797614 | − | 0.0669278i | ||||
\(726\) | 261.299 | + | 452.583i | 0.0133577 | + | 0.0231363i | ||||
\(727\) | −6995.69 | − | 2546.22i | −0.356885 | − | 0.129896i | 0.157354 | − | 0.987542i | \(-0.449704\pi\) |
−0.514240 | + | 0.857647i | \(0.671926\pi\) | |||||||
\(728\) | 69.0432 | − | 391.564i | 0.00351499 | − | 0.0199345i | ||||
\(729\) | 9688.79 | − | 16781.5i | 0.492242 | − | 0.852588i | ||||
\(730\) | −10211.6 | − | 17687.0i | −0.517737 | − | 0.896748i | ||||
\(731\) | −3013.55 | + | 1096.84i | −0.152476 | + | 0.0554967i | ||||
\(732\) | 188.253 | − | 326.065i | 0.00950553 | − | 0.0164641i | ||||
\(733\) | 8690.28 | − | 7292.01i | 0.437903 | − | 0.367444i | −0.397021 | − | 0.917810i | \(-0.629956\pi\) |
0.834924 | + | 0.550365i | \(0.185512\pi\) | |||||||
\(734\) | −134.358 | −0.00675647 | ||||||||
\(735\) | 1143.21 | − | 959.266i | 0.0573713 | − | 0.0481402i | ||||
\(736\) | 2537.38 | + | 923.532i | 0.127078 | + | 0.0462525i | ||||
\(737\) | 1273.63 | + | 7223.11i | 0.0636564 | + | 0.361013i | ||||
\(738\) | 1934.85 | − | 10973.1i | 0.0965078 | − | 0.547323i | ||||
\(739\) | 35563.3 | 1.77025 | 0.885126 | − | 0.465352i | \(-0.154072\pi\) | ||||
0.885126 | + | 0.465352i | \(0.154072\pi\) | |||||||
\(740\) | 14785.0 | − | 1368.88i | 0.734471 | − | 0.0680013i | ||||
\(741\) | 19.9417 | 0.000988633 | ||||||||
\(742\) | −215.973 | + | 1224.84i | −0.0106854 | + | 0.0606002i | ||||
\(743\) | −2989.57 | − | 16954.7i | −0.147614 | − | 0.837158i | −0.965231 | − | 0.261397i | \(-0.915817\pi\) |
0.817618 | − | 0.575761i | \(-0.195294\pi\) | |||||||
\(744\) | −11.6117 | − | 4.22632i | −0.000572185 | − | 0.000208258i | ||||
\(745\) | 7973.84 | − | 6690.85i | 0.392133 | − | 0.329039i | ||||
\(746\) | −3780.09 | −0.185521 | ||||||||
\(747\) | −23570.8 | + | 19778.2i | −1.15450 | + | 0.968738i | ||||
\(748\) | 226.356 | − | 392.060i | 0.0110647 | − | 0.0191646i | ||||
\(749\) | −1512.51 | + | 550.510i | −0.0737864 | + | 0.0268561i | ||||
\(750\) | −96.1446 | − | 166.527i | −0.00468094 | − | 0.00810762i | ||||
\(751\) | −5767.50 | + | 9989.61i | −0.280239 | + | 0.485387i | −0.971443 | − | 0.237271i | \(-0.923747\pi\) |
0.691205 | + | 0.722659i | \(0.257080\pi\) | |||||||
\(752\) | −1235.55 | + | 7007.17i | −0.0599148 | + | 0.339794i | ||||
\(753\) | −1866.81 | − | 679.463i | −0.0903458 | − | 0.0328832i | ||||
\(754\) | 703.562 | + | 1218.60i | 0.0339817 | + | 0.0588581i | ||||
\(755\) | −27231.8 | − | 22850.2i | −1.31267 | − | 1.10146i | ||||
\(756\) | 42.6872 | + | 35.8188i | 0.00205360 | + | 0.00172317i | ||||
\(757\) | −25450.5 | + | 9263.24i | −1.22195 | + | 0.444753i | −0.870833 | − | 0.491578i | \(-0.836420\pi\) |
−0.351116 | + | 0.936332i | \(0.614198\pi\) | |||||||
\(758\) | −2485.03 | − | 14093.3i | −0.119077 | − | 0.675320i | ||||
\(759\) | −71.8081 | − | 407.244i | −0.00343408 | − | 0.0194756i | ||||
\(760\) | 183.653 | − | 66.8442i | 0.00876552 | − | 0.00319039i | ||||
\(761\) | −28296.9 | − | 23743.9i | −1.34791 | − | 1.13103i | −0.979517 | − | 0.201362i | \(-0.935463\pi\) |
−0.368394 | − | 0.929670i | \(-0.620092\pi\) | |||||||
\(762\) | 182.964 | + | 153.525i | 0.00869829 | + | 0.00729874i | ||||
\(763\) | −675.115 | − | 1169.33i | −0.0320325 | − | 0.0554820i | ||||
\(764\) | −7788.67 | − | 2834.84i | −0.368827 | − | 0.134242i | ||||
\(765\) | 471.197 | − | 2672.29i | 0.0222695 | − | 0.126296i | ||||
\(766\) | −352.563 | + | 610.657i | −0.0166301 | + | 0.0288041i | ||||
\(767\) | 10891.0 | + | 18863.7i | 0.512712 | + | 0.888043i | ||||
\(768\) | 63.6354 | − | 23.1614i | 0.00298990 | − | 0.00108824i | ||||
\(769\) | −10023.9 | + | 17361.9i | −0.470052 | + | 0.814154i | −0.999414 | − | 0.0342421i | \(-0.989098\pi\) |
0.529361 | + | 0.848396i | \(0.322432\pi\) | |||||||
\(770\) | −457.148 | + | 383.593i | −0.0213954 | + | 0.0179529i | ||||
\(771\) | 212.030 | 0.00990412 | ||||||||
\(772\) | 9266.99 | − | 7775.93i | 0.432029 | − | 0.362515i | ||||
\(773\) | −31771.6 | − | 11563.9i | −1.47833 | − | 0.538067i | −0.527979 | − | 0.849258i | \(-0.677050\pi\) |
−0.950347 | + | 0.311191i | \(0.899272\pi\) | |||||||
\(774\) | −4909.61 | − | 27843.8i | −0.228000 | − | 1.29305i | ||||
\(775\) | 149.088 | − | 845.519i | 0.00691018 | − | 0.0391896i | ||||
\(776\) | −9099.68 | −0.420953 | ||||||||
\(777\) | 33.5866 | + | 47.4542i | 0.00155072 | + | 0.00219100i | ||||
\(778\) | −20659.3 | −0.952019 | ||||||||
\(779\) | 53.2095 | − | 301.766i | 0.00244727 | − | 0.0138792i | ||||
\(780\) | 154.240 | + | 874.739i | 0.00708036 | + | 0.0401547i | ||||
\(781\) | −2307.14 | − | 839.732i | −0.105706 | − | 0.0384737i | ||||
\(782\) | 789.798 | − | 662.719i | 0.0361165 | − | 0.0303053i | ||||
\(783\) | −197.208 | −0.00900083 | ||||||||
\(784\) | −4192.36 | + | 3517.81i | −0.190979 | + | 0.160250i | ||||
\(785\) | −18707.3 | + | 32402.0i | −0.850563 | + | 1.47322i | ||||
\(786\) | 223.381 | − | 81.3040i | 0.0101371 | − | 0.00368959i | ||||
\(787\) | −14566.4 | − | 25229.7i | −0.659766 | − | 1.14275i | −0.980676 | − | 0.195638i | \(-0.937322\pi\) |
0.320910 | − | 0.947110i | \(-0.396011\pi\) | |||||||
\(788\) | 2100.86 | − | 3638.79i | 0.0949745 | − | 0.164501i | ||||
\(789\) | −202.916 | + | 1150.80i | −0.00915592 | + | 0.0519258i | ||||
\(790\) | −21605.1 | − | 7863.61i | −0.973006 | − | 0.354145i | ||||
\(791\) | −36.8697 | − | 63.8602i | −0.00165731 | − | 0.00287055i | ||||
\(792\) | 3057.46 | + | 2565.51i | 0.137174 | + | 0.115103i | ||||
\(793\) | −13873.1 | − | 11640.9i | −0.621248 | − | 0.521289i | ||||
\(794\) | 15567.8 | − | 5666.23i | 0.695822 | − | 0.253258i | ||||
\(795\) | −482.475 | − | 2736.25i | −0.0215241 | − | 0.122069i | ||||
\(796\) | 3627.86 | + | 20574.6i | 0.161540 | + | 0.916140i | ||||
\(797\) | 18300.5 | − | 6660.84i | 0.813346 | − | 0.296034i | 0.0983410 | − | 0.995153i | \(-0.468646\pi\) |
0.715005 | + | 0.699119i | \(0.246424\pi\) | |||||||
\(798\) | 0.586200 | + | 0.491880i | 2.60041e−5 | + | 2.18200e-5i | ||||
\(799\) | 2081.17 | + | 1746.31i | 0.0921481 | + | 0.0773215i | ||||
\(800\) | 2352.58 | + | 4074.79i | 0.103970 | + | 0.180082i | ||||
\(801\) | 25438.5 | + | 9258.87i | 1.12213 | + | 0.408422i | ||||
\(802\) | −3215.02 | + | 18233.3i | −0.141554 | + | 0.802793i | ||||
\(803\) | 5734.96 | − | 9933.24i | 0.252033 | − | 0.436534i | ||||
\(804\) | 209.458 | + | 362.791i | 0.00918781 | + | 0.0159138i | ||||
\(805\) | −1277.11 | + | 464.831i | −0.0559159 | + | 0.0203517i | ||||
\(806\) | −297.186 | + | 514.741i | −0.0129875 | + | 0.0224950i | ||||
\(807\) | −1018.60 | + | 854.703i | −0.0444315 | + | 0.0372825i | ||||
\(808\) | −1306.75 | −0.0568954 | ||||||||
\(809\) | −9593.32 | + | 8049.75i | −0.416914 | + | 0.349832i | −0.826988 | − | 0.562220i | \(-0.809947\pi\) |
0.410074 | + | 0.912052i | \(0.365503\pi\) | |||||||
\(810\) | 22421.8 | + | 8160.86i | 0.972618 | + | 0.354004i | ||||
\(811\) | −1294.65 | − | 7342.30i | −0.0560557 | − | 0.317908i | 0.943867 | − | 0.330325i | \(-0.107158\pi\) |
−0.999923 | + | 0.0124174i | \(0.996047\pi\) | |||||||
\(812\) | −9.37630 | + | 53.1757i | −0.000405226 | + | 0.00229815i | ||||
\(813\) | 979.936 | 0.0422729 | ||||||||
\(814\) | 4817.51 | + | 6806.62i | 0.207437 | + | 0.293086i | ||||
\(815\) | 55546.4 | 2.38737 | ||||||||
\(816\) | 4.48999 | − | 25.4640i | 0.000192624 | − | 0.00109242i | ||||
\(817\) | −135.017 | − | 765.721i | −0.00578171 | − | 0.0327897i | ||||
\(818\) | 17603.5 | + | 6407.15i | 0.752435 | + | 0.273864i | ||||
\(819\) | 1025.30 | − | 860.330i | 0.0437447 | − | 0.0367062i | ||||
\(820\) | 13648.5 | 0.581250 | ||||||||
\(821\) | −33823.8 | + | 28381.6i | −1.43783 | + | 1.20648i | −0.496935 | + | 0.867788i | \(0.665541\pi\) |
−0.940896 | + | 0.338696i | \(0.890014\pi\) | |||||||
\(822\) | 550.915 | − | 954.212i | 0.0233763 | − | 0.0404890i | ||||
\(823\) | −4455.68 | + | 1621.74i | −0.188718 | + | 0.0686879i | −0.434651 | − | 0.900599i | \(-0.643128\pi\) |
0.245932 | + | 0.969287i | \(0.420906\pi\) | |||||||
\(824\) | 2505.81 | + | 4340.19i | 0.105939 | + | 0.183492i | ||||
\(825\) | 360.286 | − | 624.034i | 0.0152043 | − | 0.0263346i | ||||
\(826\) | −145.143 | + | 823.146i | −0.00611400 | + | 0.0346742i | ||||
\(827\) | −25215.9 | − | 9177.85i | −1.06027 | − | 0.385907i | −0.247741 | − | 0.968826i | \(-0.579688\pi\) |
−0.812530 | + | 0.582919i | \(0.801910\pi\) | |||||||
\(828\) | 4544.82 | + | 7871.86i | 0.190753 | + | 0.330394i | ||||
\(829\) | 35383.0 | + | 29689.9i | 1.48239 | + | 1.24387i | 0.903585 | + | 0.428409i | \(0.140926\pi\) |
0.578806 | + | 0.815465i | \(0.303519\pi\) | |||||||
\(830\) | −28872.2 | − | 24226.7i | −1.20743 | − | 1.01316i | ||||
\(831\) | −691.423 | + | 251.657i | −0.0288630 | + | 0.0105053i | ||||
\(832\) | −565.628 | − | 3207.84i | −0.0235693 | − | 0.133668i | ||||
\(833\) | 362.858 | + | 2057.87i | 0.0150928 | + | 0.0855954i | ||||
\(834\) | 1271.14 | − | 462.657i | 0.0527769 | − | 0.0192092i | ||||
\(835\) | 31692.0 | + | 26592.7i | 1.31347 | + | 1.10213i | ||||
\(836\) | 84.0819 | + | 70.5531i | 0.00347851 | + | 0.00291882i | ||||
\(837\) | −41.6506 | − | 72.1409i | −0.00172002 | − | 0.00297916i | ||||
\(838\) | 22460.6 | + | 8174.97i | 0.925879 | + | 0.336993i | ||||
\(839\) | 5648.39 | − | 32033.6i | 0.232425 | − | 1.31815i | −0.615545 | − | 0.788101i | \(-0.711064\pi\) |
0.847970 | − | 0.530044i | \(-0.177825\pi\) | |||||||
\(840\) | −17.0422 | + | 29.5180i | −0.000700015 | + | 0.00121246i | ||||
\(841\) | 12099.0 | + | 20956.0i | 0.496082 | + | 0.859240i | ||||
\(842\) | −13398.8 | + | 4876.76i | −0.548400 | + | 0.199601i | ||||
\(843\) | 341.770 | − | 591.964i | 0.0139635 | − | 0.0241854i | ||||
\(844\) | −7179.75 | + | 6024.53i | −0.292817 | + | 0.245702i | ||||
\(845\) | 6488.04 | 0.264136 | ||||||||
\(846\) | −18348.1 | + | 15395.9i | −0.745652 | + | 0.625676i | ||||
\(847\) | 906.422 | + | 329.911i | 0.0367710 | + | 0.0133835i | ||||
\(848\) | 1769.33 | + | 10034.4i | 0.0716498 | + | 0.406346i | ||||
\(849\) | 214.230 | − | 1214.96i | 0.00866000 | − | 0.0491133i | ||||
\(850\) | 1796.54 | 0.0724950 | ||||||||
\(851\) | 5007.97 | + | 18319.0i | 0.201728 | + | 0.737918i | ||||
\(852\) | −140.230 | −0.00563875 | ||||||||
\(853\) | 173.322 | − | 982.959i | 0.00695714 | − | 0.0394559i | −0.981132 | − | 0.193341i | \(-0.938068\pi\) |
0.988089 | + | 0.153885i | \(0.0491787\pi\) | |||||||
\(854\) | −120.676 | − | 684.386i | −0.00483541 | − | 0.0274230i | ||||
\(855\) | 618.222 | + | 225.015i | 0.0247284 | + | 0.00900039i | ||||
\(856\) | −10101.3 | + | 8476.00i | −0.403336 | + | 0.338439i | ||||
\(857\) | −16166.9 | −0.644398 | −0.322199 | − | 0.946672i | \(-0.604422\pi\) | ||||
−0.322199 | + | 0.946672i | \(0.604422\pi\) | |||||||
\(858\) | −382.136 | + | 320.650i | −0.0152050 | + | 0.0127585i | ||||
\(859\) | −6414.68 | + | 11110.5i | −0.254792 | + | 0.441312i | −0.964839 | − | 0.262842i | \(-0.915340\pi\) |
0.710047 | + | 0.704154i | \(0.248674\pi\) | |||||||
\(860\) | 32543.9 | − | 11845.0i | 1.29039 | − | 0.469664i | ||||
\(861\) | 26.7198 | + | 46.2800i | 0.00105762 | + | 0.00183185i | ||||
\(862\) | −1531.53 | + | 2652.68i | −0.0605151 | + | 0.104815i | ||||
\(863\) | 6446.63 | − | 36560.7i | 0.254283 | − | 1.44211i | −0.543625 | − | 0.839328i | \(-0.682949\pi\) |
0.797908 | − | 0.602780i | \(-0.205940\pi\) | |||||||
\(864\) | 428.982 | + | 156.137i | 0.0168915 | + | 0.00614801i | ||||
\(865\) | −3653.07 | − | 6327.30i | −0.143593 | − | 0.248711i | ||||
\(866\) | 1071.80 | + | 899.346i | 0.0420568 | + | 0.0352898i | ||||
\(867\) | 988.012 | + | 829.040i | 0.0387020 | + | 0.0324748i | ||||
\(868\) | −21.4325 | + | 7.80079i | −0.000838095 | + | 0.000305042i | ||||
\(869\) | −2242.21 | − | 12716.2i | −0.0875280 | − | 0.496396i | ||||
\(870\) | −20.9463 | − | 118.793i | −0.000816261 | − | 0.00462925i | ||||
\(871\) | 18934.8 | − | 6891.69i | 0.736601 | − | 0.268101i | ||||
\(872\) | −8473.68 | − | 7110.26i | −0.329077 | − | 0.276128i | ||||
\(873\) | −23465.3 | − | 19689.8i | −0.909716 | − | 0.763342i | ||||
\(874\) | 124.985 | + | 216.481i | 0.00483717 | + | 0.00837823i | ||||
\(875\) | −333.517 | − | 121.390i | −0.0128856 | − | 0.00468998i | ||||
\(876\) | 113.758 | − | 645.156i | 0.00438761 | − | 0.0248833i | ||||
\(877\) | 9784.03 | − | 16946.4i | 0.376720 | − | 0.652498i | −0.613863 | − | 0.789413i | \(-0.710385\pi\) |
0.990583 | + | 0.136915i | \(0.0437186\pi\) | |||||||
\(878\) | −11112.9 | − | 19248.1i | −0.427156 | − | 0.739856i | ||||
\(879\) | 1816.80 | − | 661.260i | 0.0697145 | − | 0.0253740i | ||||
\(880\) | −2444.46 | + | 4233.93i | −0.0936395 | + | 0.162188i | ||||
\(881\) | −7289.49 | + | 6116.61i | −0.278762 | + | 0.233909i | −0.771439 | − | 0.636303i | \(-0.780463\pi\) |
0.492677 | + | 0.870212i | \(0.336018\pi\) | |||||||
\(882\) | −18422.6 | −0.703313 | ||||||||
\(883\) | 33972.0 | − | 28505.9i | 1.29473 | − | 1.08641i | 0.303705 | − | 0.952766i | \(-0.401776\pi\) |
0.991029 | − | 0.133645i | \(-0.0426681\pi\) | |||||||
\(884\) | −1168.71 | − | 425.377i | −0.0444662 | − | 0.0161844i | ||||
\(885\) | −324.244 | − | 1838.88i | −0.0123156 | − | 0.0698455i | ||||
\(886\) | 144.714 | − | 820.713i | 0.00548731 | − | 0.0311201i | ||||
\(887\) | 23559.1 | 0.891813 | 0.445907 | − | 0.895080i | \(-0.352881\pi\) | ||||
0.445907 | + | 0.895080i | \(0.352881\pi\) | |||||||
\(888\) | 391.525 | + | 271.209i | 0.0147958 | + | 0.0102491i | ||||
\(889\) | 440.849 | 0.0166317 | ||||||||
\(890\) | −5758.15 | + | 32656.1i | −0.216869 | + | 1.22993i | ||||
\(891\) | 2326.97 | + | 13196.9i | 0.0874932 | + | 0.496198i | ||||
\(892\) | 23539.4 | + | 8567.64i | 0.883585 | + | 0.321599i | ||||
\(893\) | −504.584 | + | 423.396i | −0.0189085 | + | 0.0158661i | ||||
\(894\) | 333.890 | 0.0124910 | ||||||||
\(895\) | 43516.3 | − | 36514.5i | 1.62524 | − | 1.36374i | ||||
\(896\) | 62.4971 | − | 108.248i | 0.00233023 | − | 0.00403607i | ||||
\(897\) | −1067.55 | + | 388.558i | −0.0397376 | + | 0.0144633i | ||||
\(898\) | −5575.89 | − | 9657.72i | −0.207205 | − | 0.358889i | ||||
\(899\) | 40.3588 | − | 69.9036i | 0.00149727 | − | 0.00259334i | ||||
\(900\) | −2750.37 | + | 15598.1i | −0.101866 | + | 0.577709i | ||||
\(901\) | 3655.83 | + | 1330.61i | 0.135176 | + | 0.0491999i | ||||
\(902\) | 3832.57 | + | 6638.20i | 0.141475 | + | 0.245042i | ||||
\(903\) | 103.876 | + | 87.1627i | 0.00382812 | + | 0.00321217i | ||||
\(904\) | −462.768 | − | 388.309i | −0.0170259 | − | 0.0142865i | ||||
\(905\) | 14837.1 | − | 5400.26i | 0.544974 | − | 0.198354i | ||||
\(906\) | −198.008 | − | 1122.96i | −0.00726089 | − | 0.0411786i | ||||
\(907\) | −6232.31 | − | 35345.2i | −0.228159 | − | 1.29395i | −0.856553 | − | 0.516059i | \(-0.827398\pi\) |
0.628394 | − | 0.777895i | \(-0.283713\pi\) | |||||||
\(908\) | −17198.5 | + | 6259.73i | −0.628581 | + | 0.228785i | ||||
\(909\) | −3369.73 | − | 2827.54i | −0.122956 | − | 0.103172i | ||||
\(910\) | 1255.91 | + | 1053.83i | 0.0457505 | + | 0.0383892i | ||||
\(911\) | 6257.11 | + | 10837.6i | 0.227560 | + | 0.394146i | 0.957084 | − | 0.289809i | \(-0.0935918\pi\) |
−0.729524 | + | 0.683955i | \(0.760258\pi\) | |||||||
\(912\) | 5.89098 | + | 2.14414i | 0.000213892 | + | 7.78505e-5i | ||||
\(913\) | 3675.64 | − | 20845.6i | 0.133238 | − | 0.755628i | ||||
\(914\) | −15055.3 | + | 26076.6i | −0.544842 | + | 0.943694i | ||||
\(915\) | 776.241 | + | 1344.49i | 0.0280456 | + | 0.0485764i | ||||
\(916\) | 6845.06 | − | 2491.40i | 0.246907 | − | 0.0898669i | ||||
\(917\) | 219.385 | − | 379.986i | 0.00790047 | − | 0.0136840i | ||||
\(918\) | 133.527 | − | 112.043i | 0.00480071 | − | 0.00402827i | ||||
\(919\) | 28240.5 | 1.01368 | 0.506839 | − | 0.862041i | \(-0.330814\pi\) | ||||
0.506839 | + | 0.862041i | \(0.330814\pi\) | |||||||
\(920\) | −8529.18 | + | 7156.84i | −0.305651 | + | 0.256472i | ||||
\(921\) | −2401.92 | − | 874.227i | −0.0859348 | − | 0.0312777i | ||||
\(922\) | 2618.44 | + | 14849.9i | 0.0935289 | + | 0.530429i | ||||
\(923\) | −1171.28 | + | 6642.65i | −0.0417693 | + | 0.236886i | ||||
\(924\) | −19.1422 | −0.000681530 | ||||||||
\(925\) | −13833.6 | + | 30062.1i | −0.491726 | + | 1.06858i | ||||
\(926\) | −22188.6 | −0.787434 | ||||||||
\(927\) | −2929.51 | + | 16614.1i | −0.103795 | + | 0.588649i | ||||
\(928\) | 76.8142 | + | 435.635i | 0.00271719 | + | 0.0154099i | ||||
\(929\) | 12491.3 | + | 4546.46i | 0.441147 | + | 0.160565i | 0.553038 | − | 0.833156i | \(-0.313468\pi\) |
−0.111891 | + | 0.993721i | \(0.535691\pi\) | |||||||
\(930\) | 39.0317 | − | 32.7515i | 0.00137624 | − | 0.00115480i | ||||
\(931\) | −506.633 | −0.0178348 | ||||||||
\(932\) | 15301.8 | − | 12839.8i | 0.537799 | − | 0.451267i | ||||
\(933\) | 168.707 | − | 292.210i | 0.00591986 | − | 0.0102535i | ||||
\(934\) | 25183.6 | − | 9166.08i | 0.882261 | − | 0.321117i | ||||
\(935\) | 933.351 | + | 1616.61i | 0.0326458 | + | 0.0565442i | ||||
\(936\) | 5482.49 | − | 9495.94i | 0.191454 | − | 0.331608i | ||||
\(937\) | −184.837 | + | 1048.26i | −0.00644435 | + | 0.0365477i | −0.987860 | − | 0.155344i | \(-0.950351\pi\) |
0.981416 | + | 0.191892i | \(0.0614624\pi\) | |||||||
\(938\) | 726.589 | + | 264.457i | 0.0252921 | + | 0.00920557i | ||||
\(939\) | −126.722 | − | 219.489i | −0.00440408 | − | 0.00762808i | ||||
\(940\) | −22474.9 | − | 18858.7i | −0.779842 | − | 0.654365i | ||||
\(941\) | −12244.7 | − | 10274.6i | −0.424194 | − | 0.355941i | 0.405562 | − | 0.914068i | \(-0.367076\pi\) |
−0.829756 | + | 0.558126i | \(0.811520\pi\) | |||||||
\(942\) | −1127.76 | + | 410.471i | −0.0390068 | + | 0.0141973i | ||||
\(943\) | 3031.31 | + | 17191.4i | 0.104680 | + | 0.593669i | ||||
\(944\) | 1189.07 | + | 6743.52i | 0.0409966 | + | 0.232503i | ||||
\(945\) | −215.915 | + | 78.5866i | −0.00743250 | + | 0.00270521i | ||||
\(946\) | 14899.6 | + | 12502.2i | 0.512079 | + | 0.429686i | ||||
\(947\) | −947.810 | − | 795.307i | −0.0325234 | − | 0.0272904i | 0.626381 | − | 0.779517i | \(-0.284535\pi\) |
−0.658904 | + | 0.752227i | \(0.728980\pi\) | |||||||
\(948\) | −368.748 | − | 638.690i | −0.0126333 | − | 0.0218815i | ||||
\(949\) | −29610.6 | − | 10777.4i | −1.01286 | − | 0.368649i | ||||
\(950\) | −75.6369 | + | 428.958i | −0.00258314 | + | 0.0146497i | ||||
\(951\) | −823.547 | + | 1426.42i | −0.0280813 | + | 0.0486383i | ||||
\(952\) | −23.8628 | − | 41.3316i | −0.000812393 | − | 0.00140711i | ||||
\(953\) | 27136.8 | − | 9877.01i | 0.922402 | − | 0.335727i | 0.163208 | − | 0.986592i | \(-0.447816\pi\) |
0.759194 | + | 0.650865i | \(0.225594\pi\) | |||||||
\(954\) | −17149.6 | + | 29704.1i | −0.582013 | + | 1.00808i | ||||
\(955\) | 26180.9 | − | 21968.4i | 0.887114 | − | 0.744377i | ||||
\(956\) | 8249.40 | 0.279084 | ||||||||
\(957\) | 51.8953 | − | 43.5454i | 0.00175291 | − | 0.00147087i | ||||
\(958\) | 24596.6 | + | 8952.42i | 0.829519 | + | 0.301920i | ||||
\(959\) | −353.152 | − | 2002.82i | −0.0118914 | − | 0.0674396i | ||||
\(960\) | −48.4883 | + | 274.991i | −0.00163016 | + | 0.00924509i | ||||
\(961\) | −29756.9 | −0.998856 | ||||||||
\(962\) | 16117.3 | − | 16281.1i | 0.540168 | − | 0.545658i | ||||
\(963\) | −44388.5 | −1.48536 | ||||||||
\(964\) | −1874.47 | + | 10630.6i | −0.0626271 | + | 0.355176i | ||||
\(965\) | 8661.81 | + | 49123.6i | 0.288947 | + | 1.63870i | ||||
\(966\) | −40.9656 | − | 14.9102i | −0.00136444 | − | 0.000496614i | ||||
\(967\) | 17356.7 | − | 14564.0i | 0.577202 | − | 0.484330i | −0.306825 | − | 0.951766i | \(-0.599267\pi\) |
0.884027 | + | 0.467436i | \(0.154822\pi\) | |||||||
\(968\) | 7902.32 | 0.262387 | ||||||||
\(969\) | 1.83365 | − | 1.53862i | 6.07899e−5 | − | 5.10088e-5i | ||||
\(970\) | 18760.7 | − | 32494.5i | 0.621001 | − | 1.07560i | ||||
\(971\) | −13277.4 | + | 4832.60i | −0.438819 | + | 0.159717i | −0.551976 | − | 0.833860i | \(-0.686126\pi\) |
0.113157 | + | 0.993577i | \(0.463904\pi\) | |||||||
\(972\) | 1153.05 | + | 1997.15i | 0.0380496 | + | 0.0659038i | ||||
\(973\) | 1248.40 | − | 2162.29i | 0.0411325 | − | 0.0712435i | ||||
\(974\) | 6375.21 | − | 36155.6i | 0.209728 | − | 1.18943i | ||||
\(975\) | −1860.22 | − | 677.065i | −0.0611023 | − | 0.0222394i | ||||
\(976\) | −2846.62 | − | 4930.50i | −0.0933588 | − | 0.161702i | ||||
\(977\) | −9664.44 | − | 8109.43i | −0.316472 | − | 0.265551i | 0.470689 | − | 0.882299i | \(-0.344005\pi\) |
−0.787161 | + | 0.616748i | \(0.788450\pi\) | |||||||
\(978\) | 1364.90 | + | 1145.28i | 0.0446264 | + | 0.0374460i | ||||
\(979\) | −17499.9 | + | 6369.44i | −0.571296 | + | 0.207935i | ||||
\(980\) | −3918.58 | − | 22223.4i | −0.127729 | − | 0.724387i | ||||
\(981\) | −6465.99 | − | 36670.4i | −0.210442 | − | 1.19347i | ||||
\(982\) | 13888.0 | − | 5054.82i | 0.451308 | − | 0.164263i | ||||
\(983\) | 5323.95 | + | 4467.32i | 0.172744 | + | 0.144950i | 0.725061 | − | 0.688685i | \(-0.241812\pi\) |
−0.552317 | + | 0.833634i | \(0.686256\pi\) | |||||||
\(984\) | 335.372 | + | 281.411i | 0.0108651 | + | 0.00911691i | ||||
\(985\) | 8662.63 | + | 15004.1i | 0.280218 | + | 0.485351i | ||||
\(986\) | 158.715 | + | 57.7677i | 0.00512629 | + | 0.00186582i | ||||
\(987\) | 19.9478 | − | 113.129i | 0.000643307 | − | 0.00364838i | ||||
\(988\) | 150.772 | − | 261.144i | 0.00485494 | − | 0.00840901i | ||||
\(989\) | 22147.8 | + | 38361.1i | 0.712092 | + | 1.23338i | ||||
\(990\) | −15464.9 | + | 5628.75i | −0.496470 | + | 0.180700i | ||||
\(991\) | −21540.6 | + | 37309.4i | −0.690474 | + | 1.19594i | 0.281208 | + | 0.959647i | \(0.409265\pi\) |
−0.971683 | + | 0.236290i | \(0.924068\pi\) | |||||||
\(992\) | −143.137 | + | 120.106i | −0.00458125 | + | 0.00384412i | ||||
\(993\) | −2234.55 | −0.0714113 | ||||||||
\(994\) | −198.277 | + | 166.374i | −0.00632693 | + | 0.00530893i | ||||
\(995\) | −80950.5 | − | 29463.6i | −2.57920 | − | 0.938751i | ||||
\(996\) | −209.936 | − | 1190.60i | −0.00667878 | − | 0.0378772i | ||||
\(997\) | 39.6531 | − | 224.884i | 0.00125961 | − | 0.00714358i | −0.984171 | − | 0.177219i | \(-0.943290\pi\) |
0.985431 | + | 0.170075i | \(0.0544011\pi\) | |||||||
\(998\) | −31905.2 | −1.01197 | ||||||||
\(999\) | 846.672 | + | 3097.10i | 0.0268143 | + | 0.0980861i |
(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 | 74.4.f.a.33.3 | yes | 24 | |
37.9 | even | 9 | inner | 74.4.f.a.9.3 | ✓ | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
74.4.f.a.9.3 | ✓ | 24 | 37.9 | even | 9 | inner | |
74.4.f.a.33.3 | yes | 24 | 1.1 | even | 1 | trivial |