Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [201,4,Mod(5,201)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(201, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 5]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("201.5");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 201 = 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 201.j (of order \(22\), degree \(10\), 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: | \(11.8593839112\) |
Analytic rank: | \(0\) |
Dimension: | \(640\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 5.6 | ||
Character | \(\chi\) | \(=\) | 201.5 |
Dual form | 201.4.j.b.161.6 |
$q$-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 \(\left(\mathbb{Z}/201\mathbb{Z}\right)^\times\).
\(n\) | \(68\) | \(136\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{5}{22}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −3.20732 | + | 3.70144i | −1.13396 | + | 1.30866i | −0.188811 | + | 0.982013i | \(0.560463\pi\) |
−0.945147 | + | 0.326645i | \(0.894082\pi\) | |||||||
\(3\) | 5.16210 | + | 0.593913i | 0.993446 | + | 0.114299i | ||||
\(4\) | −2.27527 | − | 15.8248i | −0.284409 | − | 1.97811i | ||||
\(5\) | −8.51736 | + | 2.50092i | −0.761815 | + | 0.223689i | −0.639489 | − | 0.768801i | \(-0.720854\pi\) |
−0.122327 | + | 0.992490i | \(0.539036\pi\) | |||||||
\(6\) | −18.7548 | + | 17.2024i | −1.27610 | + | 1.17047i | ||||
\(7\) | 14.3505 | + | 12.4348i | 0.774856 | + | 0.671417i | 0.949694 | − | 0.313180i | \(-0.101394\pi\) |
−0.174837 | + | 0.984597i | \(0.555940\pi\) | |||||||
\(8\) | 32.9106 | + | 21.1503i | 1.45446 | + | 0.934722i | ||||
\(9\) | 26.2945 | + | 6.13167i | 0.973872 | + | 0.227099i | ||||
\(10\) | 18.0609 | − | 39.5478i | 0.571135 | − | 1.25061i | ||||
\(11\) | 34.2415 | − | 10.0542i | 0.938563 | − | 0.275587i | 0.223546 | − | 0.974693i | \(-0.428237\pi\) |
0.715018 | + | 0.699106i | \(0.246419\pi\) | |||||||
\(12\) | −2.34659 | − | 83.0408i | −0.0564502 | − | 1.99765i | ||||
\(13\) | −1.35275 | − | 2.10493i | −0.0288605 | − | 0.0449078i | 0.826524 | − | 0.562902i | \(-0.190315\pi\) |
−0.855384 | + | 0.517994i | \(0.826679\pi\) | |||||||
\(14\) | −92.0535 | + | 13.2353i | −1.75731 | + | 0.252663i | ||||
\(15\) | −45.4528 | + | 7.85144i | −0.782390 | + | 0.135149i | ||||
\(16\) | −61.1217 | + | 17.9469i | −0.955026 | + | 0.280421i | ||||
\(17\) | −9.48322 | − | 1.36348i | −0.135295 | − | 0.0194525i | 0.0743345 | − | 0.997233i | \(-0.476317\pi\) |
−0.209630 | + | 0.977781i | \(0.567226\pi\) | |||||||
\(18\) | −107.031 | + | 77.6615i | −1.40152 | + | 1.01694i | ||||
\(19\) | 79.8001 | + | 92.0943i | 0.963548 | + | 1.11199i | 0.993658 | + | 0.112447i | \(0.0358688\pi\) |
−0.0301100 | + | 0.999547i | \(0.509586\pi\) | |||||||
\(20\) | 58.9560 | + | 129.096i | 0.659148 | + | 1.44333i | ||||
\(21\) | 66.6937 | + | 72.7127i | 0.693036 | + | 0.755582i | ||||
\(22\) | −72.6083 | + | 158.990i | −0.703643 | + | 1.54076i | ||||
\(23\) | −19.1730 | + | 8.75600i | −0.173819 | + | 0.0793805i | −0.500424 | − | 0.865780i | \(-0.666823\pi\) |
0.326605 | + | 0.945161i | \(0.394095\pi\) | |||||||
\(24\) | 157.326 | + | 128.726i | 1.33809 | + | 1.09484i | ||||
\(25\) | −38.8659 | + | 24.9776i | −0.310928 | + | 0.199821i | ||||
\(26\) | 12.1300 | + | 1.74403i | 0.0914956 | + | 0.0131551i | ||||
\(27\) | 132.093 | + | 47.2689i | 0.941532 | + | 0.336923i | ||||
\(28\) | 164.128 | − | 255.388i | 1.10776 | − | 1.72370i | ||||
\(29\) | − | 82.2888i | − | 0.526919i | −0.964671 | − | 0.263459i | \(-0.915137\pi\) | ||
0.964671 | − | 0.263459i | \(-0.0848635\pi\) | |||||||
\(30\) | 116.720 | − | 193.423i | 0.710334 | − | 1.17713i | ||||
\(31\) | −159.090 | + | 247.548i | −0.921720 | + | 1.43423i | −0.0210226 | + | 0.999779i | \(0.506692\pi\) |
−0.900698 | + | 0.434446i | \(0.856944\pi\) | |||||||
\(32\) | −0.404017 | + | 0.884674i | −0.00223190 | + | 0.00488718i | ||||
\(33\) | 182.729 | − | 31.5644i | 0.963912 | − | 0.166505i | ||||
\(34\) | 35.4626 | − | 30.7285i | 0.178876 | − | 0.154997i | ||||
\(35\) | −153.327 | − | 70.0222i | −0.740486 | − | 0.338169i | ||||
\(36\) | 37.2056 | − | 430.058i | 0.172248 | − | 1.99101i | ||||
\(37\) | −96.1312 | −0.427132 | −0.213566 | − | 0.976929i | \(-0.568508\pi\) | ||||
−0.213566 | + | 0.976929i | \(0.568508\pi\) | |||||||
\(38\) | −596.826 | −2.54784 | ||||||||
\(39\) | −5.73291 | − | 11.6693i | −0.0235385 | − | 0.0479122i | ||||
\(40\) | −333.206 | − | 97.8382i | −1.31711 | − | 0.386739i | ||||
\(41\) | −37.3929 | + | 260.073i | −0.142434 | + | 0.990649i | 0.785755 | + | 0.618538i | \(0.212275\pi\) |
−0.928188 | + | 0.372111i | \(0.878634\pi\) | |||||||
\(42\) | −483.050 | + | 13.6502i | −1.77467 | + | 0.0501493i | ||||
\(43\) | 216.127 | + | 31.0743i | 0.766489 | + | 0.110204i | 0.514459 | − | 0.857515i | \(-0.327993\pi\) |
0.252030 | + | 0.967719i | \(0.418902\pi\) | |||||||
\(44\) | −237.015 | − | 518.990i | −0.812076 | − | 1.77820i | ||||
\(45\) | −239.295 | + | 13.5349i | −0.792710 | + | 0.0448371i | ||||
\(46\) | 29.0840 | − | 99.0509i | 0.0932217 | − | 0.317484i | ||||
\(47\) | −194.524 | + | 88.8363i | −0.603709 | + | 0.275705i | −0.693730 | − | 0.720235i | \(-0.744034\pi\) |
0.0900211 | + | 0.995940i | \(0.471307\pi\) | |||||||
\(48\) | −326.175 | + | 56.3430i | −0.980819 | + | 0.169425i | ||||
\(49\) | 2.49942 | + | 17.3839i | 0.00728695 | + | 0.0506818i | ||||
\(50\) | 32.2022 | − | 223.971i | 0.0910816 | − | 0.633487i | ||||
\(51\) | −48.1435 | − | 12.6706i | −0.132185 | − | 0.0347891i | ||||
\(52\) | −30.2323 | + | 26.1964i | −0.0806242 | + | 0.0698613i | ||||
\(53\) | −24.3321 | − | 169.233i | −0.0630617 | − | 0.438604i | −0.996753 | − | 0.0805239i | \(-0.974341\pi\) |
0.933691 | − | 0.358080i | \(-0.116568\pi\) | |||||||
\(54\) | −598.629 | + | 337.329i | −1.50858 | + | 0.850087i | ||||
\(55\) | −266.502 | + | 171.271i | −0.653366 | + | 0.419893i | ||||
\(56\) | 209.284 | + | 712.755i | 0.499406 | + | 1.70082i | ||||
\(57\) | 357.240 | + | 522.794i | 0.830134 | + | 1.21484i | ||||
\(58\) | 304.587 | + | 263.926i | 0.689556 | + | 0.597504i | ||||
\(59\) | −57.4167 | + | 89.3421i | −0.126695 | + | 0.197142i | −0.898806 | − | 0.438346i | \(-0.855564\pi\) |
0.772111 | + | 0.635487i | \(0.219201\pi\) | |||||||
\(60\) | 227.665 | + | 701.419i | 0.489857 | + | 1.50921i | ||||
\(61\) | 206.676 | − | 703.873i | 0.433805 | − | 1.47740i | −0.395425 | − | 0.918498i | \(-0.629403\pi\) |
0.829231 | − | 0.558907i | \(-0.188779\pi\) | |||||||
\(62\) | −406.035 | − | 1382.83i | −0.831717 | − | 2.83257i | ||||
\(63\) | 301.095 | + | 414.960i | 0.602133 | + | 0.829843i | ||||
\(64\) | −213.681 | − | 467.896i | −0.417346 | − | 0.913860i | ||||
\(65\) | 16.7861 | + | 14.5453i | 0.0320318 | + | 0.0277557i | ||||
\(66\) | −469.237 | + | 777.599i | −0.875138 | + | 1.45024i | ||||
\(67\) | −494.046 | + | 238.079i | −0.900856 | + | 0.434119i | ||||
\(68\) | 153.173i | 0.273161i | ||||||||
\(69\) | −104.173 | + | 33.8123i | −0.181753 | + | 0.0589930i | ||||
\(70\) | 750.952 | − | 342.948i | 1.28223 | − | 0.585574i | ||||
\(71\) | 571.776 | − | 82.2090i | 0.955737 | − | 0.137414i | 0.353238 | − | 0.935534i | \(-0.385081\pi\) |
0.602499 | + | 0.798119i | \(0.294172\pi\) | |||||||
\(72\) | 735.681 | + | 757.935i | 1.20418 | + | 1.24060i | ||||
\(73\) | 666.321 | + | 195.650i | 1.06832 | + | 0.313686i | 0.768195 | − | 0.640216i | \(-0.221155\pi\) |
0.300120 | + | 0.953901i | \(0.402973\pi\) | |||||||
\(74\) | 308.323 | − | 355.824i | 0.484350 | − | 0.558969i | ||||
\(75\) | −215.464 | + | 105.854i | −0.331729 | + | 0.162973i | ||||
\(76\) | 1275.81 | − | 1472.36i | 1.92560 | − | 2.22226i | ||||
\(77\) | 616.406 | + | 281.503i | 0.912286 | + | 0.416627i | ||||
\(78\) | 61.5804 | + | 16.2070i | 0.0893923 | + | 0.0235267i | ||||
\(79\) | 240.004 | + | 373.453i | 0.341804 | + | 0.531858i | 0.969018 | − | 0.246989i | \(-0.0794412\pi\) |
−0.627214 | + | 0.778847i | \(0.715805\pi\) | |||||||
\(80\) | 475.711 | − | 305.721i | 0.664827 | − | 0.427258i | ||||
\(81\) | 653.805 | + | 322.459i | 0.896852 | + | 0.442330i | ||||
\(82\) | −842.715 | − | 972.546i | −1.13491 | − | 1.30975i | ||||
\(83\) | 351.154 | + | 1195.92i | 0.464388 | + | 1.58156i | 0.775604 | + | 0.631220i | \(0.217446\pi\) |
−0.311216 | + | 0.950339i | \(0.600736\pi\) | |||||||
\(84\) | 998.921 | − | 1220.86i | 1.29752 | − | 1.58579i | ||||
\(85\) | 84.1819 | − | 12.1035i | 0.107421 | − | 0.0154449i | ||||
\(86\) | −808.207 | + | 700.316i | −1.01339 | + | 0.878104i | ||||
\(87\) | 48.8723 | − | 424.783i | 0.0602260 | − | 0.523465i | ||||
\(88\) | 1339.56 | + | 393.329i | 1.62270 | + | 0.476466i | ||||
\(89\) | 411.813 | + | 188.069i | 0.490473 | + | 0.223992i | 0.645270 | − | 0.763955i | \(-0.276745\pi\) |
−0.154797 | + | 0.987946i | \(0.549472\pi\) | |||||||
\(90\) | 717.396 | − | 929.147i | 0.840224 | − | 1.08823i | ||||
\(91\) | 6.76162 | − | 47.0281i | 0.00778912 | − | 0.0541745i | ||||
\(92\) | 182.186 | + | 283.487i | 0.206459 | + | 0.321256i | ||||
\(93\) | −968.258 | + | 1183.38i | −1.07961 | + | 1.31947i | ||||
\(94\) | 295.079 | − | 1004.95i | 0.323778 | − | 1.10269i | ||||
\(95\) | −910.007 | − | 584.826i | −0.982787 | − | 0.631599i | ||||
\(96\) | −2.61100 | + | 4.32682i | −0.00277587 | + | 0.00460005i | ||||
\(97\) | − | 206.980i | − | 0.216656i | −0.994115 | − | 0.108328i | \(-0.965450\pi\) | ||
0.994115 | − | 0.108328i | \(-0.0345496\pi\) | |||||||
\(98\) | −72.3618 | − | 46.5041i | −0.0745883 | − | 0.0479350i | ||||
\(99\) | 962.013 | − | 54.4132i | 0.976626 | − | 0.0552397i | ||||
\(100\) | 483.698 | + | 558.217i | 0.483698 | + | 0.558217i | ||||
\(101\) | −1091.90 | − | 1260.12i | −1.07572 | − | 1.24145i | −0.968974 | − | 0.247163i | \(-0.920502\pi\) |
−0.106747 | − | 0.994286i | \(-0.534044\pi\) | |||||||
\(102\) | 201.311 | − | 137.562i | 0.195419 | − | 0.133536i | ||||
\(103\) | 1268.50 | + | 815.216i | 1.21349 | + | 0.779861i | 0.981239 | − | 0.192796i | \(-0.0617556\pi\) |
0.232248 | + | 0.972657i | \(0.425392\pi\) | |||||||
\(104\) | − | 97.8855i | − | 0.0922929i | ||||||
\(105\) | −749.903 | − | 452.524i | −0.696981 | − | 0.420589i | ||||
\(106\) | 704.449 | + | 452.722i | 0.645491 | + | 0.414832i | ||||
\(107\) | −269.703 | + | 918.524i | −0.243674 | + | 0.829879i | 0.743294 | + | 0.668965i | \(0.233262\pi\) |
−0.986968 | + | 0.160914i | \(0.948556\pi\) | |||||||
\(108\) | 447.476 | − | 2197.91i | 0.398689 | − | 1.95827i | ||||
\(109\) | −827.413 | − | 1287.48i | −0.727081 | − | 1.13136i | −0.986207 | − | 0.165516i | \(-0.947071\pi\) |
0.259126 | − | 0.965843i | \(-0.416565\pi\) | |||||||
\(110\) | 220.809 | − | 1535.76i | 0.191394 | − | 1.33117i | ||||
\(111\) | −496.239 | − | 57.0935i | −0.424332 | − | 0.0488205i | ||||
\(112\) | −1100.30 | − | 502.488i | −0.928288 | − | 0.423935i | ||||
\(113\) | 1945.57 | + | 571.271i | 1.61968 | + | 0.475581i | 0.960932 | − | 0.276783i | \(-0.0892684\pi\) |
0.658748 | + | 0.752364i | \(0.271087\pi\) | |||||||
\(114\) | −3080.88 | − | 354.463i | −2.53114 | − | 0.291215i | ||||
\(115\) | 141.405 | − | 122.528i | 0.114661 | − | 0.0993547i | ||||
\(116\) | −1302.21 | + | 187.229i | −1.04230 | + | 0.149860i | ||||
\(117\) | −22.6633 | − | 63.6427i | −0.0179079 | − | 0.0502886i | ||||
\(118\) | −146.541 | − | 499.073i | −0.114324 | − | 0.389351i | ||||
\(119\) | −119.135 | − | 137.489i | −0.0917736 | − | 0.105912i | ||||
\(120\) | −1661.94 | − | 702.946i | −1.26428 | − | 0.534749i | ||||
\(121\) | −48.3163 | + | 31.0510i | −0.0363007 | + | 0.0233291i | ||||
\(122\) | 1942.47 | + | 3022.54i | 1.44150 | + | 2.24302i | ||||
\(123\) | −347.487 | + | 1320.32i | −0.254730 | + | 0.967877i | ||||
\(124\) | 4279.39 | + | 1954.33i | 3.09919 | + | 1.41535i | ||||
\(125\) | 995.212 | − | 1148.54i | 0.712116 | − | 0.821826i | ||||
\(126\) | −2501.66 | − | 216.426i | −1.76877 | − | 0.153022i | ||||
\(127\) | −453.788 | + | 523.699i | −0.317064 | + | 0.365912i | −0.891802 | − | 0.452426i | \(-0.850559\pi\) |
0.574738 | + | 0.818338i | \(0.305104\pi\) | |||||||
\(128\) | 2409.77 | + | 707.572i | 1.66403 | + | 0.488603i | ||||
\(129\) | 1097.21 | + | 288.769i | 0.748869 | + | 0.197091i | ||||
\(130\) | −107.677 | + | 15.4816i | −0.0726454 | + | 0.0104448i | ||||
\(131\) | −1196.13 | + | 546.255i | −0.797759 | + | 0.364324i | −0.772225 | − | 0.635350i | \(-0.780856\pi\) |
−0.0255345 | + | 0.999674i | \(0.508129\pi\) | |||||||
\(132\) | −915.260 | − | 2819.85i | −0.603509 | − | 1.85936i | ||||
\(133\) | 2313.90i | 1.50858i | ||||||||
\(134\) | 703.328 | − | 2592.28i | 0.453420 | − | 1.67118i | ||||
\(135\) | −1243.30 | − | 72.2514i | −0.792640 | − | 0.0460623i | ||||
\(136\) | −283.260 | − | 245.446i | −0.178598 | − | 0.154756i | ||||
\(137\) | −1169.77 | − | 2561.44i | −0.729490 | − | 1.59736i | −0.800108 | − | 0.599856i | \(-0.795224\pi\) |
0.0706180 | − | 0.997503i | \(-0.477503\pi\) | |||||||
\(138\) | 208.962 | − | 494.037i | 0.128899 | − | 0.304748i | ||||
\(139\) | −137.313 | − | 467.645i | −0.0837894 | − | 0.285360i | 0.906930 | − | 0.421280i | \(-0.138419\pi\) |
−0.990720 | + | 0.135920i | \(0.956601\pi\) | |||||||
\(140\) | −759.230 | + | 2585.70i | −0.458333 | + | 1.56094i | ||||
\(141\) | −1056.92 | + | 343.052i | −0.631265 | + | 0.204895i | ||||
\(142\) | −1529.58 | + | 2380.07i | −0.903938 | + | 1.40656i | ||||
\(143\) | −67.4837 | − | 58.4749i | −0.0394634 | − | 0.0341952i | ||||
\(144\) | −1717.21 | + | 97.1286i | −0.993756 | + | 0.0562087i | ||||
\(145\) | 205.798 | + | 700.883i | 0.117866 | + | 0.401415i | ||||
\(146\) | −2861.29 | + | 1838.84i | −1.62193 | + | 1.04235i | ||||
\(147\) | 2.57777 | + | 91.2217i | 0.00144633 | + | 0.0511826i | ||||
\(148\) | 218.724 | + | 1521.26i | 0.121480 | + | 0.844912i | ||||
\(149\) | 1845.07 | − | 1598.76i | 1.01445 | − | 0.879030i | 0.0217697 | − | 0.999763i | \(-0.493070\pi\) |
0.992685 | + | 0.120733i | \(0.0385245\pi\) | |||||||
\(150\) | 299.250 | − | 1137.04i | 0.162891 | − | 0.618924i | ||||
\(151\) | −38.3702 | + | 266.871i | −0.0206790 | + | 0.143825i | −0.997545 | − | 0.0700261i | \(-0.977692\pi\) |
0.976866 | + | 0.213851i | \(0.0686008\pi\) | |||||||
\(152\) | 678.443 | + | 4718.67i | 0.362033 | + | 2.51799i | ||||
\(153\) | −240.996 | − | 94.0001i | −0.127343 | − | 0.0496696i | ||||
\(154\) | −3018.98 | + | 1378.72i | −1.57972 | + | 0.721432i | ||||
\(155\) | 735.924 | − | 2506.33i | 0.381360 | − | 1.29879i | ||||
\(156\) | −171.620 | + | 117.273i | −0.0880809 | + | 0.0601882i | ||||
\(157\) | 1125.95 | + | 2465.49i | 0.572360 | + | 1.25329i | 0.945531 | + | 0.325531i | \(0.105543\pi\) |
−0.373171 | + | 0.927763i | \(0.621730\pi\) | |||||||
\(158\) | −2152.08 | − | 309.423i | −1.08361 | − | 0.155800i | ||||
\(159\) | −25.0948 | − | 888.051i | −0.0125167 | − | 0.442937i | ||||
\(160\) | 1.22866 | − | 8.54550i | 0.000607087 | − | 0.00422238i | ||||
\(161\) | −384.022 | − | 112.759i | −0.187982 | − | 0.0551966i | ||||
\(162\) | −3290.53 | + | 1385.79i | −1.59585 | + | 0.672088i | ||||
\(163\) | −1960.02 | −0.941845 | −0.470923 | − | 0.882175i | \(-0.656079\pi\) | ||||
−0.470923 | + | 0.882175i | \(0.656079\pi\) | |||||||
\(164\) | 4200.70 | 2.00012 | ||||||||
\(165\) | −1477.43 | + | 725.836i | −0.697077 | + | 0.342462i | ||||
\(166\) | −5552.90 | − | 2535.92i | −2.59632 | − | 1.18570i | ||||
\(167\) | 789.299 | − | 683.931i | 0.365735 | − | 0.316911i | −0.452533 | − | 0.891747i | \(-0.649480\pi\) |
0.818269 | + | 0.574836i | \(0.194934\pi\) | |||||||
\(168\) | 657.030 | + | 3803.61i | 0.301732 | + | 1.74676i | ||||
\(169\) | 910.066 | − | 1992.77i | 0.414231 | − | 0.907040i | ||||
\(170\) | −225.198 | + | 350.414i | −0.101599 | + | 0.158092i | ||||
\(171\) | 1533.62 | + | 2910.88i | 0.685839 | + | 1.30176i | ||||
\(172\) | − | 3490.88i | − | 1.54754i | ||||||
\(173\) | 1656.91 | − | 2578.20i | 0.728164 | − | 1.13305i | −0.257818 | − | 0.966193i | \(-0.583004\pi\) |
0.985982 | − | 0.166852i | \(-0.0533601\pi\) | |||||||
\(174\) | 1415.56 | + | 1543.31i | 0.616743 | + | 0.672403i | ||||
\(175\) | −868.340 | − | 124.848i | −0.375087 | − | 0.0539294i | ||||
\(176\) | −1912.45 | + | 1229.06i | −0.819072 | + | 0.526386i | ||||
\(177\) | −349.452 | + | 427.092i | −0.148398 | + | 0.181368i | ||||
\(178\) | −2016.94 | + | 921.107i | −0.849305 | + | 0.387864i | ||||
\(179\) | 1085.91 | − | 2377.82i | 0.453436 | − | 0.992886i | −0.535499 | − | 0.844536i | \(-0.679876\pi\) |
0.988935 | − | 0.148350i | \(-0.0473962\pi\) | |||||||
\(180\) | 758.649 | + | 3756.01i | 0.314146 | + | 1.55531i | ||||
\(181\) | −1624.28 | − | 3556.69i | −0.667028 | − | 1.46059i | −0.875825 | − | 0.482629i | \(-0.839682\pi\) |
0.208797 | − | 0.977959i | \(-0.433045\pi\) | |||||||
\(182\) | 152.385 | + | 175.862i | 0.0620634 | + | 0.0716250i | ||||
\(183\) | 1484.92 | − | 3510.71i | 0.599827 | − | 1.41814i | ||||
\(184\) | −816.185 | − | 117.350i | −0.327011 | − | 0.0470170i | ||||
\(185\) | 818.784 | − | 240.417i | 0.325395 | − | 0.0955447i | ||||
\(186\) | −1274.71 | − | 7379.44i | −0.502508 | − | 2.90907i | ||||
\(187\) | −338.428 | + | 48.6586i | −0.132344 | + | 0.0190282i | ||||
\(188\) | 1848.42 | + | 2876.19i | 0.717073 | + | 1.11579i | ||||
\(189\) | 1307.83 | + | 2320.89i | 0.503337 | + | 0.893227i | ||||
\(190\) | 5083.38 | − | 1492.62i | 1.94099 | − | 0.569925i | ||||
\(191\) | −1170.01 | + | 2561.95i | −0.443239 | + | 0.970558i | 0.547754 | + | 0.836640i | \(0.315483\pi\) |
−0.990992 | + | 0.133918i | \(0.957244\pi\) | |||||||
\(192\) | −825.154 | − | 2542.24i | −0.310158 | − | 0.955573i | ||||
\(193\) | −712.233 | − | 457.725i | −0.265636 | − | 0.170714i | 0.401042 | − | 0.916060i | \(-0.368648\pi\) |
−0.666678 | + | 0.745346i | \(0.732284\pi\) | |||||||
\(194\) | 766.123 | + | 663.850i | 0.283528 | + | 0.245679i | ||||
\(195\) | 78.0131 | + | 85.0536i | 0.0286494 | + | 0.0312350i | ||||
\(196\) | 269.410 | − | 79.1060i | 0.0981816 | − | 0.0288287i | ||||
\(197\) | −187.990 | − | 1307.50i | −0.0679885 | − | 0.472871i | −0.995163 | − | 0.0982401i | \(-0.968679\pi\) |
0.927174 | − | 0.374630i | \(-0.122230\pi\) | |||||||
\(198\) | −2884.08 | + | 3735.36i | −1.03516 | + | 1.34071i | ||||
\(199\) | 1571.67 | − | 1813.80i | 0.559862 | − | 0.646115i | −0.403290 | − | 0.915072i | \(-0.632133\pi\) |
0.963152 | + | 0.268957i | \(0.0866790\pi\) | |||||||
\(200\) | −1807.39 | −0.639007 | ||||||||
\(201\) | −2691.71 | + | 935.567i | −0.944571 | + | 0.328307i | ||||
\(202\) | 8166.32 | 2.84446 | ||||||||
\(203\) | 1023.25 | − | 1180.89i | 0.353782 | − | 0.408286i | ||||
\(204\) | −90.9712 | + | 790.693i | −0.0312219 | + | 0.271371i | ||||
\(205\) | −331.934 | − | 2308.65i | −0.113089 | − | 0.786553i | ||||
\(206\) | −7085.97 | + | 2080.63i | −2.39661 | + | 0.703709i | ||||
\(207\) | −557.833 | + | 112.673i | −0.187305 | + | 0.0378323i | ||||
\(208\) | 120.460 | + | 104.379i | 0.0401556 | + | 0.0347950i | ||||
\(209\) | 3658.41 | + | 2351.12i | 1.21080 | + | 0.778135i | ||||
\(210\) | 4080.17 | − | 1324.33i | 1.34076 | − | 0.435180i | ||||
\(211\) | 1548.31 | − | 3390.32i | 0.505165 | − | 1.10616i | −0.469591 | − | 0.882884i | \(-0.655599\pi\) |
0.974756 | − | 0.223273i | \(-0.0716742\pi\) | |||||||
\(212\) | −2622.73 | + | 770.103i | −0.849669 | + | 0.249485i | ||||
\(213\) | 3000.39 | − | 84.7860i | 0.965180 | − | 0.0272744i | ||||
\(214\) | −2534.84 | − | 3944.29i | −0.809711 | − | 1.25993i | ||||
\(215\) | −1918.54 | + | 275.845i | −0.608575 | + | 0.0874998i | ||||
\(216\) | 3347.51 | + | 4349.47i | 1.05449 | + | 1.37011i | ||||
\(217\) | −5361.24 | + | 1574.20i | −1.67716 | + | 0.492460i | ||||
\(218\) | 7419.31 | + | 1066.74i | 2.30504 | + | 0.331415i | ||||
\(219\) | 3323.42 | + | 1405.70i | 1.02546 | + | 0.433737i | ||||
\(220\) | 3316.69 | + | 3827.67i | 1.01642 | + | 1.17301i | ||||
\(221\) | 9.95844 | + | 21.8059i | 0.00303112 | + | 0.00663722i | ||||
\(222\) | 1802.92 | − | 1653.68i | 0.545065 | − | 0.499945i | ||||
\(223\) | 386.762 | − | 846.890i | 0.116141 | − | 0.254314i | −0.842630 | − | 0.538493i | \(-0.818994\pi\) |
0.958771 | + | 0.284179i | \(0.0917211\pi\) | |||||||
\(224\) | −16.7986 | + | 7.67167i | −0.00501074 | + | 0.00228833i | ||||
\(225\) | −1175.12 | + | 418.462i | −0.348183 | + | 0.123989i | ||||
\(226\) | −8354.59 | + | 5369.17i | −2.45902 | + | 1.58032i | ||||
\(227\) | 4470.01 | + | 642.691i | 1.30698 | + | 0.187916i | 0.760382 | − | 0.649477i | \(-0.225012\pi\) |
0.546602 | + | 0.837392i | \(0.315921\pi\) | |||||||
\(228\) | 7460.32 | − | 6842.77i | 2.16698 | − | 1.98760i | ||||
\(229\) | −3015.37 | + | 4692.01i | −0.870137 | + | 1.35396i | 0.0643366 | + | 0.997928i | \(0.479507\pi\) |
−0.934474 | + | 0.356032i | \(0.884129\pi\) | |||||||
\(230\) | 916.388i | 0.262717i | ||||||||
\(231\) | 3014.76 | + | 1819.24i | 0.858687 | + | 0.518169i | ||||
\(232\) | 1740.44 | − | 2708.17i | 0.492522 | − | 0.766380i | ||||
\(233\) | 334.496 | − | 732.444i | 0.0940496 | − | 0.205940i | −0.856760 | − | 0.515715i | \(-0.827526\pi\) |
0.950810 | + | 0.309775i | \(0.100254\pi\) | |||||||
\(234\) | 308.258 | + | 120.235i | 0.0861174 | + | 0.0335899i | ||||
\(235\) | 1434.66 | − | 1243.14i | 0.398243 | − | 0.345079i | ||||
\(236\) | 1544.46 | + | 705.333i | 0.426000 | + | 0.194548i | ||||
\(237\) | 1017.12 | + | 2070.34i | 0.278774 | + | 0.567440i | ||||
\(238\) | 891.010 | 0.242671 | ||||||||
\(239\) | −4566.38 | −1.23588 | −0.617938 | − | 0.786227i | \(-0.712032\pi\) | ||||
−0.617938 | + | 0.786227i | \(0.712032\pi\) | |||||||
\(240\) | 2637.24 | − | 1295.63i | 0.709305 | − | 0.348469i | ||||
\(241\) | 3429.17 | + | 1006.90i | 0.916565 | + | 0.269128i | 0.705802 | − | 0.708409i | \(-0.250587\pi\) |
0.210763 | + | 0.977537i | \(0.432405\pi\) | |||||||
\(242\) | 40.0323 | − | 278.430i | 0.0106338 | − | 0.0739595i | ||||
\(243\) | 3183.50 | + | 2052.87i | 0.840417 | + | 0.541940i | ||||
\(244\) | −11608.9 | − | 1669.11i | −3.04584 | − | 0.437926i | ||||
\(245\) | −64.7642 | − | 141.814i | −0.0168883 | − | 0.0369802i | ||||
\(246\) | −3772.57 | − | 5520.88i | −0.977766 | − | 1.43089i | ||||
\(247\) | 85.9017 | − | 292.554i | 0.0221287 | − | 0.0753635i | ||||
\(248\) | −10471.5 | + | 4782.15i | −2.68120 | + | 1.22446i | ||||
\(249\) | 1102.42 | + | 6382.02i | 0.280574 | + | 1.62427i | ||||
\(250\) | 1059.28 | + | 7367.45i | 0.267979 | + | 1.86383i | ||||
\(251\) | −144.800 | + | 1007.11i | −0.0364131 | + | 0.253259i | −0.999895 | − | 0.0145160i | \(-0.995379\pi\) |
0.963482 | + | 0.267775i | \(0.0862883\pi\) | |||||||
\(252\) | 5881.62 | − | 5708.92i | 1.47027 | − | 1.42710i | ||||
\(253\) | −568.476 | + | 492.587i | −0.141264 | + | 0.122406i | ||||
\(254\) | −483.001 | − | 3359.34i | −0.119316 | − | 0.829858i | ||||
\(255\) | 441.744 | − | 12.4829i | 0.108483 | − | 0.00306554i | ||||
\(256\) | −6886.15 | + | 4425.46i | −1.68119 | + | 1.08043i | ||||
\(257\) | −117.435 | − | 399.946i | −0.0285034 | − | 0.0970737i | 0.944013 | − | 0.329909i | \(-0.107018\pi\) |
−0.972516 | + | 0.232835i | \(0.925200\pi\) | |||||||
\(258\) | −4587.97 | + | 3135.09i | −1.10711 | + | 0.756521i | ||||
\(259\) | −1379.53 | − | 1195.37i | −0.330966 | − | 0.286783i | ||||
\(260\) | 191.984 | − | 298.733i | 0.0457936 | − | 0.0712562i | ||||
\(261\) | 504.568 | − | 2163.75i | 0.119663 | − | 0.513151i | ||||
\(262\) | 1814.44 | − | 6179.42i | 0.427850 | − | 1.45712i | ||||
\(263\) | −2106.54 | − | 7174.22i | −0.493897 | − | 1.68206i | −0.708789 | − | 0.705421i | \(-0.750758\pi\) |
0.214892 | − | 0.976638i | \(-0.431060\pi\) | |||||||
\(264\) | 6681.32 | + | 2825.98i | 1.55760 | + | 0.658815i | ||||
\(265\) | 630.484 | + | 1380.57i | 0.146152 | + | 0.320029i | ||||
\(266\) | −8564.78 | − | 7421.42i | −1.97421 | − | 1.71066i | ||||
\(267\) | 2014.12 | + | 1215.41i | 0.461657 | + | 0.278584i | ||||
\(268\) | 4891.65 | + | 7276.51i | 1.11494 | + | 1.65852i | ||||
\(269\) | − | 2270.31i | − | 0.514584i | −0.966334 | − | 0.257292i | \(-0.917170\pi\) | ||
0.966334 | − | 0.257292i | \(-0.0828302\pi\) | |||||||
\(270\) | 4255.10 | − | 4370.28i | 0.959101 | − | 0.985062i | ||||
\(271\) | −1912.17 | + | 873.259i | −0.428620 | + | 0.195744i | −0.618031 | − | 0.786154i | \(-0.712069\pi\) |
0.189411 | + | 0.981898i | \(0.439342\pi\) | |||||||
\(272\) | 604.101 | − | 86.8566i | 0.134665 | − | 0.0193620i | ||||
\(273\) | 62.8347 | − | 238.748i | 0.0139301 | − | 0.0529292i | ||||
\(274\) | 13232.8 | + | 3885.51i | 2.91761 | + | 0.856687i | ||||
\(275\) | −1079.70 | + | 1246.04i | −0.236757 | + | 0.273232i | ||||
\(276\) | 772.096 | + | 1571.59i | 0.168387 | + | 0.342749i | ||||
\(277\) | 1136.21 | − | 1311.26i | 0.246456 | − | 0.284425i | −0.619021 | − | 0.785375i | \(-0.712470\pi\) |
0.865476 | + | 0.500950i | \(0.167016\pi\) | |||||||
\(278\) | 2171.37 | + | 991.630i | 0.468453 | + | 0.213935i | ||||
\(279\) | −5701.07 | + | 5533.68i | −1.22335 | + | 1.18743i | ||||
\(280\) | −3565.09 | − | 5547.39i | −0.760910 | − | 1.18400i | ||||
\(281\) | −783.967 | + | 503.825i | −0.166433 | + | 0.106960i | −0.621206 | − | 0.783648i | \(-0.713357\pi\) |
0.454773 | + | 0.890607i | \(0.349720\pi\) | |||||||
\(282\) | 2120.08 | − | 5012.39i | 0.447691 | − | 1.05845i | ||||
\(283\) | 3115.58 | + | 3595.57i | 0.654424 | + | 0.755246i | 0.981856 | − | 0.189629i | \(-0.0607286\pi\) |
−0.327432 | + | 0.944875i | \(0.606183\pi\) | |||||||
\(284\) | −2601.89 | − | 8861.22i | −0.543640 | − | 1.85147i | ||||
\(285\) | −4350.21 | − | 3559.39i | −0.904155 | − | 0.739790i | ||||
\(286\) | 432.883 | − | 62.2392i | 0.0894997 | − | 0.0128681i | ||||
\(287\) | −3770.57 | + | 3267.22i | −0.775504 | + | 0.671978i | ||||
\(288\) | −16.0480 | + | 20.7848i | −0.00328346 | + | 0.00425262i | ||||
\(289\) | −4625.92 | − | 1358.29i | −0.941567 | − | 0.276469i | ||||
\(290\) | −3254.34 | − | 1486.21i | −0.658970 | − | 0.300941i | ||||
\(291\) | 122.928 | − | 1068.45i | 0.0247634 | − | 0.215236i | ||||
\(292\) | 1580.06 | − | 10989.6i | 0.316665 | − | 2.20246i | ||||
\(293\) | 125.108 | + | 194.672i | 0.0249451 | + | 0.0388153i | 0.853502 | − | 0.521089i | \(-0.174474\pi\) |
−0.828557 | + | 0.559905i | \(0.810838\pi\) | |||||||
\(294\) | −345.920 | − | 283.036i | −0.0686205 | − | 0.0561461i | ||||
\(295\) | 265.601 | − | 904.553i | 0.0524199 | − | 0.178526i | ||||
\(296\) | −3163.73 | − | 2033.21i | −0.621244 | − | 0.399249i | ||||
\(297\) | 4998.32 | + | 290.465i | 0.976539 | + | 0.0567492i | ||||
\(298\) | 11957.1i | 2.32436i | ||||||||
\(299\) | 44.3670 | + | 28.5130i | 0.00858131 | + | 0.00551487i | ||||
\(300\) | 2165.36 | + | 3168.85i | 0.416724 | + | 0.609845i | ||||
\(301\) | 2715.13 | + | 3133.43i | 0.519926 | + | 0.600026i | ||||
\(302\) | −864.741 | − | 997.965i | −0.164769 | − | 0.190154i | ||||
\(303\) | −4888.08 | − | 7153.34i | −0.926776 | − | 1.35627i | ||||
\(304\) | −6530.33 | − | 4196.79i | −1.23204 | − | 0.791784i | ||||
\(305\) | 6512.02i | 1.22255i | ||||||||
\(306\) | 1120.89 | − | 590.546i | 0.209402 | − | 0.110324i | ||||
\(307\) | −1664.33 | − | 1069.60i | −0.309408 | − | 0.198844i | 0.376716 | − | 0.926329i | \(-0.377053\pi\) |
−0.686124 | + | 0.727484i | \(0.740689\pi\) | |||||||
\(308\) | 3052.26 | − | 10395.0i | 0.564670 | − | 1.92309i | ||||
\(309\) | 6063.96 | + | 4961.61i | 1.11640 | + | 0.913449i | ||||
\(310\) | 6916.68 | + | 10762.6i | 1.26723 | + | 1.97185i | ||||
\(311\) | 831.902 | − | 5786.00i | 0.151681 | − | 1.05497i | −0.761720 | − | 0.647906i | \(-0.775645\pi\) |
0.913402 | − | 0.407060i | \(-0.133446\pi\) | |||||||
\(312\) | 58.1354 | − | 505.295i | 0.0105489 | − | 0.0916881i | ||||
\(313\) | −8371.95 | − | 3823.34i | −1.51186 | − | 0.690441i | −0.524860 | − | 0.851189i | \(-0.675882\pi\) |
−0.986996 | + | 0.160748i | \(0.948610\pi\) | |||||||
\(314\) | −12737.1 | − | 3739.96i | −2.28917 | − | 0.672160i | ||||
\(315\) | −3602.31 | − | 2781.35i | −0.644341 | − | 0.497497i | ||||
\(316\) | 5363.77 | − | 4647.73i | 0.954859 | − | 0.827390i | ||||
\(317\) | −5142.87 | + | 739.432i | −0.911205 | + | 0.131012i | −0.581946 | − | 0.813228i | \(-0.697708\pi\) |
−0.329260 | + | 0.944239i | \(0.606799\pi\) | |||||||
\(318\) | 3367.56 | + | 2755.37i | 0.593847 | + | 0.485892i | ||||
\(319\) | −827.348 | − | 2817.69i | −0.145212 | − | 0.494547i | ||||
\(320\) | 2990.17 | + | 3450.84i | 0.522361 | + | 0.602837i | ||||
\(321\) | −1937.76 | + | 4581.33i | −0.336931 | + | 0.796589i | ||||
\(322\) | 1649.05 | − | 1059.78i | 0.285397 | − | 0.183414i | ||||
\(323\) | −631.193 | − | 982.156i | −0.108732 | − | 0.169191i | ||||
\(324\) | 3615.28 | − | 11080.0i | 0.619904 | − | 1.89987i | ||||
\(325\) | 105.152 | + | 48.0214i | 0.0179470 | + | 0.00819614i | ||||
\(326\) | 6286.42 | − | 7254.91i | 1.06801 | − | 1.23255i | ||||
\(327\) | −3506.54 | − | 7137.51i | −0.593003 | − | 1.20705i | ||||
\(328\) | −6731.26 | + | 7768.28i | −1.13314 | + | 1.30772i | ||||
\(329\) | −3896.19 | − | 1144.03i | −0.652900 | − | 0.191709i | ||||
\(330\) | 2051.95 | − | 7796.61i | 0.342291 | − | 1.30057i | ||||
\(331\) | 7012.18 | − | 1008.20i | 1.16442 | − | 0.167419i | 0.467120 | − | 0.884194i | \(-0.345292\pi\) |
0.697304 | + | 0.716775i | \(0.254383\pi\) | |||||||
\(332\) | 18126.3 | − | 8278.01i | 2.99642 | − | 1.36842i | ||||
\(333\) | −2527.72 | − | 589.445i | −0.415971 | − | 0.0970011i | ||||
\(334\) | 5115.13i | 0.837987i | ||||||||
\(335\) | 3612.55 | − | 3263.37i | 0.589178 | − | 0.532230i | ||||
\(336\) | −5381.40 | − | 3247.37i | −0.873749 | − | 0.527258i | ||||
\(337\) | −4203.60 | − | 3642.44i | −0.679479 | − | 0.588772i | 0.245221 | − | 0.969467i | \(-0.421139\pi\) |
−0.924701 | + | 0.380695i | \(0.875685\pi\) | |||||||
\(338\) | 4457.24 | + | 9760.00i | 0.717284 | + | 1.57063i | ||||
\(339\) | 9703.94 | + | 4104.46i | 1.55471 | + | 0.657591i | ||||
\(340\) | −383.073 | − | 1304.63i | −0.0611031 | − | 0.208098i | ||||
\(341\) | −2958.56 | + | 10075.9i | −0.469839 | + | 1.60013i | ||||
\(342\) | −15693.3 | − | 3659.54i | −2.48127 | − | 0.578612i | ||||
\(343\) | 3340.92 | − | 5198.58i | 0.525927 | − | 0.818358i | ||||
\(344\) | 6455.62 | + | 5593.83i | 1.01181 | + | 0.876741i | ||||
\(345\) | 802.717 | − | 548.520i | 0.125266 | − | 0.0855980i | ||||
\(346\) | 4228.82 | + | 14402.1i | 0.657061 | + | 2.23774i | ||||
\(347\) | −7793.56 | + | 5008.62i | −1.20571 | + | 0.774861i | −0.979935 | − | 0.199319i | \(-0.936127\pi\) |
−0.225772 | + | 0.974180i | \(0.572491\pi\) | |||||||
\(348\) | −6833.32 | + | 193.098i | −1.05260 | + | 0.0297447i | ||||
\(349\) | −1365.84 | − | 9499.66i | −0.209490 | − | 1.45703i | −0.774826 | − | 0.632174i | \(-0.782163\pi\) |
0.565336 | − | 0.824860i | \(-0.308746\pi\) | |||||||
\(350\) | 3247.16 | − | 2813.68i | 0.495909 | − | 0.429707i | ||||
\(351\) | −79.1921 | − | 341.990i | −0.0120426 | − | 0.0520059i | ||||
\(352\) | −4.93945 | + | 34.3546i | −0.000747936 | + | 0.00520201i | ||||
\(353\) | 341.621 | + | 2376.02i | 0.0515089 | + | 0.358252i | 0.999233 | + | 0.0391609i | \(0.0124685\pi\) |
−0.947724 | + | 0.319091i | \(0.896622\pi\) | |||||||
\(354\) | −460.054 | − | 2663.30i | −0.0690723 | − | 0.399866i | ||||
\(355\) | −4664.42 | + | 2130.17i | −0.697357 | + | 0.318472i | ||||
\(356\) | 2039.17 | − | 6944.79i | 0.303584 | − | 1.03391i | ||||
\(357\) | −533.329 | − | 780.486i | −0.0790665 | − | 0.115708i | ||||
\(358\) | 5318.49 | + | 11645.9i | 0.785171 | + | 1.71928i | ||||
\(359\) | 6676.48 | + | 959.934i | 0.981536 | + | 0.141124i | 0.614358 | − | 0.789027i | \(-0.289415\pi\) |
0.367178 | + | 0.930151i | \(0.380324\pi\) | |||||||
\(360\) | −8161.59 | − | 4615.72i | −1.19487 | − | 0.675750i | ||||
\(361\) | −1137.15 | + | 7909.09i | −0.165790 | + | 1.15310i | ||||
\(362\) | 18374.5 | + | 5395.23i | 2.66779 | + | 0.783334i | ||||
\(363\) | −267.855 | + | 131.593i | −0.0387293 | + | 0.0190271i | ||||
\(364\) | −759.597 | −0.109378 | ||||||||
\(365\) | −6164.60 | −0.884027 | ||||||||
\(366\) | 8232.10 | + | 16756.3i | 1.17568 | + | 2.39308i | ||||
\(367\) | 3059.87 | + | 1397.40i | 0.435216 | + | 0.198756i | 0.620961 | − | 0.783842i | \(-0.286743\pi\) |
−0.185745 | + | 0.982598i | \(0.559470\pi\) | |||||||
\(368\) | 1014.74 | − | 879.277i | 0.143742 | − | 0.124553i | ||||
\(369\) | −2577.91 | + | 6609.22i | −0.363688 | + | 0.932419i | ||||
\(370\) | −1736.21 | + | 3801.77i | −0.243950 | + | 0.534175i | ||||
\(371\) | 1755.21 | − | 2731.16i | 0.245622 | − | 0.382196i | ||||
\(372\) | 20929.9 | + | 12630.0i | 2.91711 | + | 1.76031i | ||||
\(373\) | − | 37.0446i | − | 0.00514235i | −0.999997 | − | 0.00257117i | \(-0.999182\pi\) | ||
0.999997 | − | 0.00257117i | \(-0.000818431\pi\) | |||||||
\(374\) | 905.340 | − | 1408.74i | 0.125171 | − | 0.194770i | ||||
\(375\) | 5819.52 | − | 5337.79i | 0.801383 | − | 0.735046i | ||||
\(376\) | −8280.83 | − | 1190.60i | −1.13577 | − | 0.163300i | ||||
\(377\) | −173.212 | + | 111.316i | −0.0236628 | + | 0.0152071i | ||||
\(378\) | −12785.3 | − | 2602.98i | −1.73969 | − | 0.354187i | ||||
\(379\) | 9755.41 | − | 4455.15i | 1.32217 | − | 0.603814i | 0.375739 | − | 0.926725i | \(-0.377389\pi\) |
0.946429 | + | 0.322911i | \(0.104662\pi\) | |||||||
\(380\) | −7184.27 | + | 15731.4i | −0.969856 | + | 2.12369i | ||||
\(381\) | −2653.53 | + | 2433.88i | −0.356810 | + | 0.327274i | ||||
\(382\) | −5730.35 | − | 12547.7i | −0.767514 | − | 1.68062i | ||||
\(383\) | 5076.06 | + | 5858.09i | 0.677219 | + | 0.781552i | 0.985488 | − | 0.169747i | \(-0.0542951\pi\) |
−0.308269 | + | 0.951299i | \(0.599750\pi\) | |||||||
\(384\) | 12019.2 | + | 5083.75i | 1.59728 | + | 0.675597i | ||||
\(385\) | −5954.17 | − | 856.080i | −0.788188 | − | 0.113324i | ||||
\(386\) | 3978.60 | − | 1168.22i | 0.524626 | − | 0.154044i | ||||
\(387\) | 5492.42 | + | 2142.30i | 0.721434 | + | 0.281394i | ||||
\(388\) | −3275.42 | + | 470.935i | −0.428568 | + | 0.0616188i | ||||
\(389\) | 5095.38 | + | 7928.57i | 0.664129 | + | 1.03341i | 0.995937 | + | 0.0900581i | \(0.0287053\pi\) |
−0.331807 | + | 0.943347i | \(0.607658\pi\) | |||||||
\(390\) | −565.034 | + | 15.9669i | −0.0733631 | + | 0.00207312i | ||||
\(391\) | 193.760 | − | 56.8931i | 0.0250610 | − | 0.00735858i | ||||
\(392\) | −285.417 | + | 624.976i | −0.0367749 | + | 0.0805257i | ||||
\(393\) | −6498.97 | + | 2109.42i | −0.834173 | + | 0.270754i | ||||
\(394\) | 5442.58 | + | 3497.73i | 0.695922 | + | 0.447242i | ||||
\(395\) | −2978.17 | − | 2580.60i | −0.379363 | − | 0.328720i | ||||
\(396\) | −3049.92 | − | 15099.9i | −0.387031 | − | 1.91616i | ||||
\(397\) | 14046.2 | − | 4124.32i | 1.77571 | − | 0.521395i | 0.781037 | − | 0.624485i | \(-0.214691\pi\) |
0.994672 | + | 0.103089i | \(0.0328727\pi\) | |||||||
\(398\) | 1672.84 | + | 11634.9i | 0.210683 | + | 1.46534i | ||||
\(399\) | −1374.26 | + | 11944.6i | −0.172428 | + | 1.49869i | ||||
\(400\) | 1927.28 | − | 2224.20i | 0.240910 | − | 0.278025i | ||||
\(401\) | −9357.95 | −1.16537 | −0.582685 | − | 0.812698i | \(-0.697998\pi\) | ||||
−0.582685 | + | 0.812698i | \(0.697998\pi\) | |||||||
\(402\) | 5170.23 | − | 12963.9i | 0.641462 | − | 1.60841i | ||||
\(403\) | 736.280 | 0.0910092 | ||||||||
\(404\) | −17456.8 | + | 20146.2i | −2.14977 | + | 2.48097i | ||||
\(405\) | −6375.14 | − | 1111.38i | −0.782180 | − | 0.136358i | ||||
\(406\) | 1089.12 | + | 7574.97i | 0.133133 | + | 0.925959i | ||||
\(407\) | −3291.67 | + | 966.523i | −0.400890 | + | 0.117712i | ||||
\(408\) | −1316.44 | − | 1435.25i | −0.159739 | − | 0.174155i | ||||
\(409\) | −6648.43 | − | 5760.89i | −0.803774 | − | 0.696474i | 0.152706 | − | 0.988272i | \(-0.451201\pi\) |
−0.956480 | + | 0.291798i | \(0.905747\pi\) | |||||||
\(410\) | 9609.97 | + | 6175.95i | 1.15757 | + | 0.743923i | ||||
\(411\) | −4517.19 | − | 13917.1i | −0.542133 | − | 1.67027i | ||||
\(412\) | 10014.5 | − | 21928.7i | 1.19752 | − | 2.62220i | ||||
\(413\) | −1934.91 | + | 568.142i | −0.230535 | + | 0.0676911i | ||||
\(414\) | 1372.10 | − | 2426.16i | 0.162886 | − | 0.288018i | ||||
\(415\) | −5981.81 | − | 9307.88i | −0.707555 | − | 1.10098i | ||||
\(416\) | 2.40871 | − | 0.346320i | 0.000283886 | − | 4.08167e-5i | ||||
\(417\) | −431.083 | − | 2495.58i | −0.0506240 | − | 0.293067i | ||||
\(418\) | −20436.2 | + | 6000.61i | −2.39131 | + | 0.702152i | ||||
\(419\) | 3777.28 | + | 543.091i | 0.440411 | + | 0.0633216i | 0.358954 | − | 0.933355i | \(-0.383133\pi\) |
0.0814573 | + | 0.996677i | \(0.474043\pi\) | |||||||
\(420\) | −5454.90 | + | 12896.7i | −0.633742 | + | 1.49832i | ||||
\(421\) | −2007.83 | − | 2317.16i | −0.232436 | − | 0.268245i | 0.627535 | − | 0.778588i | \(-0.284064\pi\) |
−0.859971 | + | 0.510343i | \(0.829518\pi\) | |||||||
\(422\) | 7583.16 | + | 16604.8i | 0.874745 | + | 1.91543i | ||||
\(423\) | −5659.65 | + | 1143.15i | −0.650547 | + | 0.131399i | ||||
\(424\) | 2778.56 | − | 6084.20i | 0.318252 | − | 0.696874i | ||||
\(425\) | 402.631 | − | 183.875i | 0.0459540 | − | 0.0209865i | ||||
\(426\) | −9309.38 | + | 11377.7i | −1.05878 | + | 1.29402i | ||||
\(427\) | 11718.4 | − | 7530.98i | 1.32809 | − | 0.853512i | ||||
\(428\) | 15149.1 | + | 2178.12i | 1.71089 | + | 0.245989i | ||||
\(429\) | −313.628 | − | 341.933i | −0.0352963 | − | 0.0384817i | ||||
\(430\) | 5132.36 | − | 7986.10i | 0.575591 | − | 0.895637i | ||||
\(431\) | 39.7671i | 0.00444435i | 0.999998 | + | 0.00222217i | \(0.000707341\pi\) | ||||
−0.999998 | + | 0.00222217i | \(0.999293\pi\) | |||||||
\(432\) | −8922.10 | − | 518.486i | −0.993668 | − | 0.0577446i | ||||
\(433\) | 1868.97 | − | 2908.17i | 0.207429 | − | 0.322766i | −0.721914 | − | 0.691982i | \(-0.756738\pi\) |
0.929343 | + | 0.369217i | \(0.120374\pi\) | |||||||
\(434\) | 11368.4 | − | 24893.3i | 1.25737 | − | 2.75326i | ||||
\(435\) | 646.085 | + | 3740.25i | 0.0712125 | + | 0.412256i | ||||
\(436\) | −18491.6 | + | 16023.1i | −2.03116 | + | 1.76001i | ||||
\(437\) | −2336.38 | − | 1066.99i | −0.255754 | − | 0.116799i | ||||
\(438\) | −15862.4 | + | 7792.92i | −1.73044 | + | 0.850137i | ||||
\(439\) | −16805.1 | −1.82702 | −0.913512 | − | 0.406811i | \(-0.866641\pi\) | ||||
−0.913512 | + | 0.406811i | \(0.866641\pi\) | |||||||
\(440\) | −12393.2 | −1.34277 | ||||||||
\(441\) | −40.8710 | + | 472.426i | −0.00441324 | + | 0.0510125i | ||||
\(442\) | −112.653 | − | 33.0780i | −0.0121230 | − | 0.00355964i | ||||
\(443\) | 310.253 | − | 2157.85i | 0.0332744 | − | 0.231428i | −0.966397 | − | 0.257053i | \(-0.917248\pi\) |
0.999672 | + | 0.0256249i | \(0.00815755\pi\) | |||||||
\(444\) | 225.581 | + | 7982.81i | 0.0241117 | + | 0.853259i | ||||
\(445\) | −3977.90 | − | 571.936i | −0.423755 | − | 0.0609267i | ||||
\(446\) | 1894.25 | + | 4147.82i | 0.201110 | + | 0.440370i | ||||
\(447\) | 10473.9 | − | 7157.15i | 1.10828 | − | 0.757319i | ||||
\(448\) | 2751.76 | − | 9371.65i | 0.290198 | − | 0.988323i | ||||
\(449\) | 5524.37 | − | 2522.89i | 0.580648 | − | 0.265173i | −0.103364 | − | 0.994644i | \(-0.532961\pi\) |
0.684012 | + | 0.729470i | \(0.260233\pi\) | |||||||
\(450\) | 2220.06 | − | 5691.77i | 0.232566 | − | 0.596250i | ||||
\(451\) | 1334.44 | + | 9281.25i | 0.139327 | + | 0.969040i | ||||
\(452\) | 4613.58 | − | 32088.1i | 0.480098 | − | 3.33916i | ||||
\(453\) | −356.569 | + | 1354.82i | −0.0369825 | + | 0.140519i | ||||
\(454\) | −16715.6 | + | 14484.2i | −1.72798 | + | 1.49731i | ||||
\(455\) | 60.0224 | + | 417.465i | 0.00618438 | + | 0.0430133i | ||||
\(456\) | 699.710 | + | 24761.2i | 0.0718573 | + | 2.54287i | ||||
\(457\) | −6561.04 | + | 4216.53i | −0.671581 | + | 0.431599i | −0.831495 | − | 0.555532i | \(-0.812515\pi\) |
0.159914 | + | 0.987131i | \(0.448878\pi\) | |||||||
\(458\) | −7695.95 | − | 26210.0i | −0.785171 | − | 2.67405i | ||||
\(459\) | −1188.22 | − | 628.369i | −0.120831 | − | 0.0638992i | ||||
\(460\) | −2260.72 | − | 1958.93i | −0.229145 | − | 0.198555i | ||||
\(461\) | −5312.66 | + | 8266.67i | −0.536736 | + | 0.835178i | −0.998661 | − | 0.0517413i | \(-0.983523\pi\) |
0.461924 | + | 0.886919i | \(0.347159\pi\) | |||||||
\(462\) | −16403.1 | + | 5324.09i | −1.65182 | + | 0.536145i | ||||
\(463\) | 2003.76 | − | 6824.19i | 0.201129 | − | 0.684982i | −0.795720 | − | 0.605664i | \(-0.792908\pi\) |
0.996849 | − | 0.0793181i | \(-0.0252743\pi\) | |||||||
\(464\) | 1476.83 | + | 5029.63i | 0.147759 | + | 0.503221i | ||||
\(465\) | 5287.45 | − | 12500.8i | 0.527311 | − | 1.24669i | ||||
\(466\) | 1638.26 | + | 3587.30i | 0.162856 | + | 0.356606i | ||||
\(467\) | 12175.9 | + | 10550.5i | 1.20650 | + | 1.04544i | 0.997721 | + | 0.0674715i | \(0.0214932\pi\) |
0.208775 | + | 0.977964i | \(0.433052\pi\) | |||||||
\(468\) | −955.571 | + | 503.448i | −0.0943831 | + | 0.0497263i | ||||
\(469\) | −10050.3 | − | 2726.81i | −0.989508 | − | 0.268470i | ||||
\(470\) | 9297.47i | 0.912469i | ||||||||
\(471\) | 4347.98 | + | 13395.8i | 0.425360 | + | 1.31050i | ||||
\(472\) | −3779.23 | + | 1725.92i | −0.368545 | + | 0.168309i | ||||
\(473\) | 7712.93 | − | 1108.95i | 0.749769 | − | 0.107801i | ||||
\(474\) | −10925.5 | − | 2875.42i | −1.05870 | − | 0.278634i | ||||
\(475\) | −5401.80 | − | 1586.11i | −0.521793 | − | 0.153212i | ||||
\(476\) | −1904.68 | + | 2198.11i | −0.183405 | + | 0.211660i | ||||
\(477\) | 397.882 | − | 4599.11i | 0.0381924 | − | 0.441465i | ||||
\(478\) | 14645.8 | − | 16902.2i | 1.40143 | − | 1.61734i | ||||
\(479\) | −9067.06 | − | 4140.79i | −0.864895 | − | 0.394984i | −0.0669800 | − | 0.997754i | \(-0.521336\pi\) |
−0.797915 | + | 0.602770i | \(0.794064\pi\) | |||||||
\(480\) | 11.4177 | − | 43.3830i | 0.00108572 | − | 0.00412532i | ||||
\(481\) | 130.042 | + | 202.349i | 0.0123272 | + | 0.0191815i | ||||
\(482\) | −14725.4 | + | 9463.44i | −1.39154 | + | 0.894291i | ||||
\(483\) | −1915.39 | − | 810.148i | −0.180441 | − | 0.0763209i | ||||
\(484\) | 601.310 | + | 693.949i | 0.0564716 | + | 0.0651717i | ||||
\(485\) | 517.640 | + | 1762.92i | 0.0484635 | + | 0.165052i | ||||
\(486\) | −17809.1 | + | 5199.33i | −1.66221 | + | 0.485280i | ||||
\(487\) | 17830.3 | − | 2563.60i | 1.65907 | − | 0.238538i | 0.751891 | − | 0.659287i | \(-0.229142\pi\) |
0.907177 | + | 0.420749i | \(0.138233\pi\) | |||||||
\(488\) | 21689.0 | − | 18793.6i | 2.01191 | − | 1.74333i | ||||
\(489\) | −10117.8 | − | 1164.08i | −0.935673 | − | 0.107652i | ||||
\(490\) | 732.635 | + | 215.121i | 0.0675450 | + | 0.0198330i | ||||
\(491\) | −13518.2 | − | 6173.58i | −1.24250 | − | 0.567433i | −0.317814 | − | 0.948153i | \(-0.602949\pi\) |
−0.924690 | + | 0.380720i | \(0.875676\pi\) | |||||||
\(492\) | 21684.4 | + | 2494.85i | 1.98701 | + | 0.228611i | ||||
\(493\) | −112.199 | + | 780.363i | −0.0102499 | + | 0.0712896i | ||||
\(494\) | 807.359 | + | 1256.28i | 0.0735320 | + | 0.114418i | ||||
\(495\) | −8057.72 | + | 2869.38i | −0.731652 | + | 0.260543i | ||||
\(496\) | 5281.09 | − | 17985.7i | 0.478080 | − | 1.62819i | ||||
\(497\) | 9227.55 | + | 5930.19i | 0.832821 | + | 0.535222i | ||||
\(498\) | −27158.5 | − | 16388.6i | −2.44378 | − | 1.47468i | ||||
\(499\) | − | 4687.71i | − | 0.420542i | −0.977643 | − | 0.210271i | \(-0.932565\pi\) | ||
0.977643 | − | 0.210271i | \(-0.0674347\pi\) | |||||||
\(500\) | −20439.8 | − | 13135.9i | −1.82819 | − | 1.17491i | ||||
\(501\) | 4480.63 | − | 3061.75i | 0.399561 | − | 0.273031i | ||||
\(502\) | −3263.33 | − | 3766.08i | −0.290138 | − | 0.334837i | ||||
\(503\) | −361.513 | − | 417.209i | −0.0320459 | − | 0.0369829i | 0.739500 | − | 0.673156i | \(-0.235062\pi\) |
−0.771546 | + | 0.636173i | \(0.780516\pi\) | |||||||
\(504\) | 1132.64 | + | 20024.8i | 0.100103 | + | 1.76980i | ||||
\(505\) | 12451.5 | + | 8002.11i | 1.09720 | + | 0.705128i | ||||
\(506\) | − | 3684.07i | − | 0.323669i | ||||||
\(507\) | 5881.38 | − | 9746.36i | 0.515190 | − | 0.853750i | ||||
\(508\) | 9319.96 | + | 5989.57i | 0.813989 | + | 0.523119i | ||||
\(509\) | −25.7996 | + | 87.8652i | −0.00224665 | + | 0.00765139i | −0.960609 | − | 0.277905i | \(-0.910360\pi\) |
0.958362 | + | 0.285556i | \(0.0921783\pi\) | |||||||
\(510\) | −1370.61 | + | 1675.13i | −0.119003 | + | 0.145443i | ||||
\(511\) | 7129.21 | + | 11093.3i | 0.617177 | + | 0.960346i | ||||
\(512\) | 2846.10 | − | 19795.0i | 0.245666 | − | 1.70864i | ||||
\(513\) | 6187.87 | + | 15937.1i | 0.532556 | + | 1.37162i | ||||
\(514\) | 1857.03 | + | 848.076i | 0.159358 | + | 0.0727763i | ||||
\(515\) | −12843.1 | − | 3771.07i | −1.09890 | − | 0.322666i | ||||
\(516\) | 2073.27 | − | 18020.2i | 0.176881 | − | 1.53740i | ||||
\(517\) | −5767.63 | + | 4997.68i | −0.490638 | + | 0.425140i | ||||
\(518\) | 8849.21 | − | 1272.32i | 0.750603 | − | 0.107920i | ||||
\(519\) | 10084.3 | − | 12324.9i | 0.852897 | − | 1.04239i | ||||
\(520\) | 244.804 | + | 833.726i | 0.0206449 | + | 0.0703102i | ||||
\(521\) | 13236.4 | + | 15275.6i | 1.11305 | + | 1.28452i | 0.954841 | + | 0.297116i | \(0.0960249\pi\) |
0.158204 | + | 0.987406i | \(0.449430\pi\) | |||||||
\(522\) | 6390.67 | + | 8807.45i | 0.535847 | + | 0.738490i | ||||
\(523\) | −1857.76 | + | 1193.91i | −0.155324 | + | 0.0998204i | −0.615994 | − | 0.787751i | \(-0.711245\pi\) |
0.460670 | + | 0.887571i | \(0.347609\pi\) | |||||||
\(524\) | 11365.9 | + | 17685.7i | 0.947562 | + | 1.47444i | ||||
\(525\) | −4408.31 | − | 1160.20i | −0.366465 | − | 0.0964479i | ||||
\(526\) | 33311.3 | + | 15212.8i | 2.76130 | + | 1.26104i | ||||
\(527\) | 1846.21 | − | 2130.64i | 0.152604 | − | 0.176114i | ||||
\(528\) | −10602.2 | + | 5208.70i | −0.873869 | + | 0.429317i | ||||
\(529\) | −7676.76 | + | 8859.45i | −0.630949 | + | 0.728154i | ||||
\(530\) | −7132.26 | − | 2094.22i | −0.584539 | − | 0.171636i | ||||
\(531\) | −2057.56 | + | 1997.15i | −0.168155 | + | 0.163218i | ||||
\(532\) | 36617.2 | − | 5264.75i | 2.98413 | − | 0.429053i | ||||
\(533\) | 598.018 | − | 273.106i | 0.0485986 | − | 0.0221942i | ||||
\(534\) | −10958.7 | + | 3556.96i | −0.888071 | + | 0.288248i | ||||
\(535\) | − | 8497.90i | − | 0.686722i | ||||||
\(536\) | −21294.8 | − | 2613.93i | −1.71603 | − | 0.210643i | ||||
\(537\) | 7017.81 | − | 11629.6i | 0.563950 | − | 0.934552i | ||||
\(538\) | 8403.41 | + | 7281.60i | 0.673414 | + | 0.583517i | ||||
\(539\) | 260.365 | + | 570.120i | 0.0208065 | + | 0.0455599i | ||||
\(540\) | 1685.48 | + | 19839.5i | 0.134318 | + | 1.58103i | ||||
\(541\) | 4508.79 | + | 15355.5i | 0.358314 | + | 1.22031i | 0.919657 | + | 0.392723i | \(0.128467\pi\) |
−0.561343 | + | 0.827583i | \(0.689715\pi\) | |||||||
\(542\) | 2900.62 | − | 9878.61i | 0.229875 | − | 0.782883i | ||||
\(543\) | −6272.36 | − | 19324.7i | −0.495714 | − | 1.52726i | ||||
\(544\) | 5.03762 | − | 7.83869i | 0.000397033 | − | 0.000617796i | ||||
\(545\) | 10267.3 | + | 8896.63i | 0.806974 | + | 0.699247i | ||||
\(546\) | 682.180 | + | 998.319i | 0.0534700 | + | 0.0782493i | ||||
\(547\) | 4866.34 | + | 16573.2i | 0.380384 | + | 1.29547i | 0.898053 | + | 0.439887i | \(0.144981\pi\) |
−0.517670 | + | 0.855581i | \(0.673200\pi\) | |||||||
\(548\) | −37872.8 | + | 24339.4i | −2.95227 | + | 1.89731i | ||||
\(549\) | 9750.36 | − | 17240.7i | 0.757988 | − | 1.34029i | ||||
\(550\) | −1149.20 | − | 7992.88i | −0.0890948 | − | 0.619668i | ||||
\(551\) | 7578.32 | − | 6566.66i | 0.585930 | − | 0.507711i | ||||
\(552\) | −4143.53 | − | 1090.51i | −0.319494 | − | 0.0840857i | ||||
\(553\) | −1199.64 | + | 8343.66i | −0.0922491 | + | 0.641606i | ||||
\(554\) | 1209.35 | + | 8411.23i | 0.0927445 | + | 0.645052i | ||||
\(555\) | 4369.43 | − | 754.768i | 0.334184 | − | 0.0577264i | ||||
\(556\) | −7087.98 | + | 3236.97i | −0.540643 | + | 0.246903i | ||||
\(557\) | −2565.28 | + | 8736.53i | −0.195142 | + | 0.664594i | 0.802543 | + | 0.596594i | \(0.203480\pi\) |
−0.997685 | + | 0.0679995i | \(0.978338\pi\) | |||||||
\(558\) | −2197.45 | − | 38850.5i | −0.166713 | − | 2.94744i | ||||
\(559\) | −226.957 | − | 496.967i | −0.0171722 | − | 0.0376019i | ||||
\(560\) | 10628.3 | + | 1528.12i | 0.802013 | + | 0.115312i | ||||
\(561\) | −1775.90 | + | 50.1839i | −0.133652 | + | 0.00377677i | ||||
\(562\) | 649.553 | − | 4517.74i | 0.0487540 | − | 0.339091i | ||||
\(563\) | −15103.3 | − | 4434.72i | −1.13060 | − | 0.331974i | −0.337656 | − | 0.941270i | \(-0.609634\pi\) |
−0.792943 | + | 0.609296i | \(0.791452\pi\) | |||||||
\(564\) | 7833.51 | + | 15945.0i | 0.584841 | + | 1.19044i | ||||
\(565\) | −17999.8 | −1.34028 | ||||||||
\(566\) | −23301.5 | −1.73045 | ||||||||
\(567\) | 5372.74 | + | 12757.4i | 0.397944 | + | 0.944904i | ||||
\(568\) | 20556.2 | + | 9387.71i | 1.51852 | + | 0.693485i | ||||
\(569\) | 14485.5 | − | 12551.8i | 1.06725 | − | 0.924775i | 0.0698995 | − | 0.997554i | \(-0.477732\pi\) |
0.997348 | + | 0.0727787i | \(0.0231867\pi\) | |||||||
\(570\) | 27127.4 | − | 4685.95i | 1.99341 | − | 0.344338i | ||||
\(571\) | 5389.43 | − | 11801.2i | 0.394992 | − | 0.864912i | −0.602761 | − | 0.797922i | \(-0.705933\pi\) |
0.997754 | − | 0.0669908i | \(-0.0213398\pi\) | |||||||
\(572\) | −771.813 | + | 1200.97i | −0.0564181 | + | 0.0877882i | ||||
\(573\) | −7561.26 | + | 12530.2i | −0.551267 | + | 0.913536i | ||||
\(574\) | − | 24435.6i | − | 1.77687i | ||||||
\(575\) | 526.471 | − | 819.205i | 0.0381832 | − | 0.0594143i | ||||
\(576\) | −2749.66 | − | 13613.3i | −0.198905 | − | 0.984761i | ||||
\(577\) | −12364.1 | − | 1777.68i | −0.892068 | − | 0.128260i | −0.318987 | − | 0.947759i | \(-0.603343\pi\) |
−0.573080 | + | 0.819499i | \(0.694252\pi\) | |||||||
\(578\) | 19864.4 | − | 12766.1i | 1.42950 | − | 0.918684i | ||||
\(579\) | −3404.77 | − | 2785.82i | −0.244382 | − | 0.199957i | ||||
\(580\) | 10623.1 | − | 4851.42i | 0.760519 | − | 0.347317i | ||||
\(581\) | −9831.81 | + | 21528.7i | −0.702052 | + | 1.53728i | ||||
\(582\) | 3560.54 | + | 3881.87i | 0.253589 | + | 0.276475i | ||||
\(583\) | −2534.67 | − | 5550.16i | −0.180061 | − | 0.394278i | ||||
\(584\) | 17791.0 | + | 20531.9i | 1.26061 | + | 1.45482i | ||||
\(585\) | 352.197 | + | 485.388i | 0.0248915 | + | 0.0343049i | ||||
\(586\) | −1121.83 | − | 161.295i | −0.0790826 | − | 0.0113704i | ||||
\(587\) | 11370.8 | − | 3338.76i | 0.799526 | − | 0.234762i | 0.143648 | − | 0.989629i | \(-0.454117\pi\) |
0.655878 | + | 0.754867i | \(0.272298\pi\) | |||||||
\(588\) | 1437.70 | − | 248.347i | 0.100833 | − | 0.0174178i | ||||
\(589\) | −35493.1 | + | 5103.14i | −2.48297 | + | 0.356997i | ||||
\(590\) | 2496.29 | + | 3884.30i | 0.174187 | + | 0.271041i | ||||
\(591\) | −193.883 | − | 6861.09i | −0.0134946 | − | 0.477543i | ||||
\(592\) | 5875.70 | − | 1725.26i | 0.407922 | − | 0.119777i | ||||
\(593\) | 10372.2 | − | 22711.9i | 0.718270 | − | 1.57279i | −0.0980442 | − | 0.995182i | \(-0.531259\pi\) |
0.816314 | − | 0.577609i | \(-0.196014\pi\) | |||||||
\(594\) | −17106.4 | + | 17569.4i | −1.18162 | + | 1.21360i | ||||
\(595\) | 1358.56 | + | 873.094i | 0.0936060 | + | 0.0601569i | ||||
\(596\) | −29498.2 | − | 25560.3i | −2.02733 | − | 1.75670i | ||||
\(597\) | 9190.34 | − | 8429.59i | 0.630043 | − | 0.577889i | ||||
\(598\) | −247.838 | + | 72.7719i | −0.0169479 | + | 0.00497636i | ||||
\(599\) | 36.7221 | + | 255.408i | 0.00250488 | + | 0.0174219i | 0.991036 | − | 0.133598i | \(-0.0426532\pi\) |
−0.988531 | + | 0.151020i | \(0.951744\pi\) | |||||||
\(600\) | −9329.90 | − | 1073.43i | −0.634819 | − | 0.0730376i | ||||
\(601\) | 9571.93 | − | 11046.6i | 0.649663 | − | 0.749751i | −0.331389 | − | 0.943494i | \(-0.607517\pi\) |
0.981052 | + | 0.193743i | \(0.0620629\pi\) | |||||||
\(602\) | −20306.5 | −1.37480 | ||||||||
\(603\) | −14450.5 | + | 3230.85i | −0.975906 | + | 0.218193i | ||||
\(604\) | 4310.49 | 0.290383 | ||||||||
\(605\) | 333.871 | − | 385.308i | 0.0224360 | − | 0.0258925i | ||||
\(606\) | 42155.3 | + | 4850.08i | 2.82581 | + | 0.325117i | ||||
\(607\) | 345.752 | + | 2404.76i | 0.0231197 | + | 0.160801i | 0.998111 | − | 0.0614442i | \(-0.0195706\pi\) |
−0.974991 | + | 0.222245i | \(0.928662\pi\) | |||||||
\(608\) | −113.714 | + | 33.3895i | −0.00758506 | + | 0.00222717i | ||||
\(609\) | 5983.44 | − | 5488.14i | 0.398130 | − | 0.365174i | ||||
\(610\) | −24103.9 | − | 20886.1i | −1.59990 | − | 1.38632i | ||||
\(611\) | 450.138 | + | 289.286i | 0.0298046 | + | 0.0191543i | ||||
\(612\) | −939.205 | + | 4027.61i | −0.0620345 | + | 0.266024i | ||||
\(613\) | 8165.48 | − | 17879.9i | 0.538011 | − | 1.17808i | −0.424149 | − | 0.905593i | \(-0.639427\pi\) |
0.962159 | − | 0.272487i | \(-0.0878461\pi\) | |||||||
\(614\) | 9297.10 | − | 2729.87i | 0.611075 | − | 0.179428i | ||||
\(615\) | −342.339 | − | 12114.6i | −0.0224463 | − | 0.794324i | ||||
\(616\) | 14332.4 | + | 22301.6i | 0.937448 | + | 1.45870i | ||||
\(617\) | −1615.43 | + | 232.264i | −0.105405 | + | 0.0151550i | −0.194815 | − | 0.980840i | \(-0.562411\pi\) |
0.0894104 | + | 0.995995i | \(0.471502\pi\) | |||||||
\(618\) | −37814.2 | + | 6531.96i | −2.46134 | + | 0.425168i | ||||
\(619\) | 7614.16 | − | 2235.72i | 0.494409 | − | 0.145172i | −0.0250171 | − | 0.999687i | \(-0.507964\pi\) |
0.519426 | + | 0.854516i | \(0.326146\pi\) | |||||||
\(620\) | −41336.7 | − | 5943.32i | −2.67761 | − | 0.384983i | ||||
\(621\) | −2946.51 | + | 250.323i | −0.190401 | + | 0.0161757i | ||||
\(622\) | 18748.4 | + | 21636.8i | 1.20859 | + | 1.39479i | ||||
\(623\) | 3571.14 | + | 7819.71i | 0.229655 | + | 0.502873i | ||||
\(624\) | 559.832 | + | 610.356i | 0.0359154 | + | 0.0391567i | ||||
\(625\) | −3205.16 | + | 7018.31i | −0.205130 | + | 0.449172i | ||||
\(626\) | 41003.4 | − | 18725.6i | 2.61793 | − | 1.19557i | ||||
\(627\) | 17488.7 | + | 14309.5i | 1.11393 | + | 0.911428i | ||||
\(628\) | 36454.1 | − | 23427.6i | 2.31636 | − | 1.48864i | ||||
\(629\) | 911.633 | + | 131.073i | 0.0577889 | + | 0.00830878i | ||||
\(630\) | 21848.8 | − | 4413.08i | 1.38171 | − | 0.279081i | ||||
\(631\) | 7644.69 | − | 11895.4i | 0.482299 | − | 0.750471i | −0.511782 | − | 0.859115i | \(-0.671015\pi\) |
0.994081 | + | 0.108644i | \(0.0346509\pi\) | |||||||
\(632\) | 17366.7i | 1.09306i | ||||||||
\(633\) | 10006.1 | − | 16581.6i | 0.628287 | − | 1.04117i | ||||
\(634\) | 13757.8 | − | 21407.6i | 0.861820 | − | 1.34102i | ||||
\(635\) | 2555.34 | − | 5595.42i | 0.159694 | − | 0.349681i | ||||
\(636\) | −13996.2 | + | 2417.68i | −0.872617 | + | 0.150734i | ||||
\(637\) | 33.2106 | − | 28.7772i | 0.00206570 | − | 0.00178994i | ||||
\(638\) | 13083.1 | + | 5974.85i | 0.811857 | + | 0.370762i | ||||
\(639\) | 15538.7 | + | 1344.30i | 0.961972 | + | 0.0832230i | ||||
\(640\) | −22294.5 | −1.37698 | ||||||||
\(641\) | −8420.83 | −0.518881 | −0.259441 | − | 0.965759i | \(-0.583538\pi\) | ||||
−0.259441 | + | 0.965759i | \(0.583538\pi\) | |||||||
\(642\) | −10742.5 | − | 21866.3i | −0.660396 | − | 1.34423i | ||||
\(643\) | 19348.9 | + | 5681.34i | 1.18670 | + | 0.348445i | 0.814752 | − | 0.579810i | \(-0.196873\pi\) |
0.371944 | + | 0.928255i | \(0.378691\pi\) | |||||||
\(644\) | −910.640 | + | 6333.64i | −0.0557209 | + | 0.387547i | ||||
\(645\) | −10067.5 | + | 284.492i | −0.614587 | + | 0.0173672i | ||||
\(646\) | 5659.83 | + | 813.761i | 0.344711 | + | 0.0495619i | ||||
\(647\) | 2530.46 | + | 5540.93i | 0.153760 | + | 0.336687i | 0.970799 | − | 0.239896i | \(-0.0771132\pi\) |
−0.817039 | + | 0.576582i | \(0.804386\pi\) | |||||||
\(648\) | 14697.0 | + | 24440.5i | 0.890975 | + | 1.48166i | ||||
\(649\) | −1067.77 | + | 3636.48i | −0.0645818 | + | 0.219945i | ||||
\(650\) | −515.005 | + | 235.195i | −0.0310772 | + | 0.0141925i | ||||
\(651\) | −28610.2 | + | 4942.08i | −1.72246 | + | 0.297535i | ||||
\(652\) | 4459.58 | + | 31017.1i | 0.267869 | + | 1.86307i | ||||
\(653\) | −3214.08 | + | 22354.4i | −0.192614 | + | 1.33966i | 0.632442 | + | 0.774608i | \(0.282053\pi\) |
−0.825056 | + | 0.565051i | \(0.808857\pi\) | |||||||
\(654\) | 37665.7 | + | 9913.02i | 2.25206 | + | 0.592706i | ||||
\(655\) | 8821.73 | − | 7644.08i | 0.526250 | − | 0.455998i | ||||
\(656\) | −2382.00 | − | 16567.2i | −0.141771 | − | 0.986037i | ||||
\(657\) | 16321.0 | + | 9230.18i | 0.969165 | + | 0.548103i | ||||
\(658\) | 16730.9 | − | 10752.3i | 0.991243 | − | 0.637033i | ||||
\(659\) | −2136.50 | − | 7276.24i | −0.126291 | − | 0.430109i | 0.871936 | − | 0.489619i | \(-0.162864\pi\) |
−0.998228 | + | 0.0595102i | \(0.981046\pi\) | |||||||
\(660\) | 14847.8 | + | 21728.6i | 0.875682 | + | 1.28149i | ||||
\(661\) | −14653.1 | − | 12697.0i | −0.862240 | − | 0.747135i | 0.106736 | − | 0.994287i | \(-0.465960\pi\) |
−0.968977 | + | 0.247152i | \(0.920505\pi\) | |||||||
\(662\) | −18758.5 | + | 29188.8i | −1.10131 | + | 1.71368i | ||||
\(663\) | 38.4556 | + | 118.479i | 0.00225263 | + | 0.00694018i | ||||
\(664\) | −13737.5 | + | 46785.5i | −0.802886 | + | 2.73438i | ||||
\(665\) | −5786.89 | − | 19708.3i | −0.337452 | − | 1.14926i | ||||
\(666\) | 10289.0 | − | 7465.69i | 0.598636 | − | 0.434369i | ||||
\(667\) | 720.520 | + | 1577.72i | 0.0418271 | + | 0.0915885i | ||||
\(668\) | −12619.0 | − | 10934.4i | −0.730903 | − | 0.633331i | ||||
\(669\) | 2499.48 | − | 4142.03i | 0.144448 | − | 0.239372i | ||||
\(670\) | 492.593 | + | 23838.3i | 0.0284038 | + | 1.37456i | ||||
\(671\) | − | 26179.6i | − | 1.50619i | ||||||
\(672\) | −91.2725 | + | 29.6250i | −0.00523945 | + | 0.00170061i | ||||
\(673\) | −10542.8 | + | 4814.74i | −0.603856 | + | 0.275772i | −0.693792 | − | 0.720176i | \(-0.744061\pi\) |
0.0899356 | + | 0.995948i | \(0.471334\pi\) | |||||||
\(674\) | 26964.6 | − | 3876.92i | 1.54100 | − | 0.221563i | ||||
\(675\) | −6314.60 | + | 1462.23i | −0.360073 | + | 0.0833794i | ||||
\(676\) | −33605.9 | − | 9867.58i | −1.91203 | − | 0.561423i | ||||
\(677\) | 16014.5 | − | 18481.7i | 0.909140 | − | 1.04920i | −0.0894435 | − | 0.995992i | \(-0.528509\pi\) |
0.998583 | − | 0.0532113i | \(-0.0169457\pi\) | |||||||
\(678\) | −46316.0 | + | 22754.3i | −2.62354 | + | 1.28890i | ||||
\(679\) | 2573.75 | − | 2970.27i | 0.145466 | − | 0.167877i | ||||
\(680\) | 3026.47 | + | 1382.14i | 0.170676 | + | 0.0779452i | ||||
\(681\) | 22693.0 | + | 5972.43i | 1.27694 | + | 0.336071i | ||||
\(682\) | −27806.5 | − | 43267.7i | −1.56124 | − | 2.42933i | ||||
\(683\) | −8891.55 | + | 5714.25i | −0.498134 | + | 0.320131i | −0.765469 | − | 0.643472i | \(-0.777493\pi\) |
0.267335 | + | 0.963604i | \(0.413857\pi\) | |||||||
\(684\) | 42574.9 | − | 30892.3i | 2.37996 | − | 1.72689i | ||||
\(685\) | 16369.3 | + | 18891.2i | 0.913049 | + | 1.05371i | ||||
\(686\) | 8526.84 | + | 29039.7i | 0.474572 | + | 1.61624i | ||||
\(687\) | −18352.3 | + | 22429.8i | −1.01919 | + | 1.24563i | ||||
\(688\) | −13767.7 | + | 1979.50i | −0.762921 | + | 0.109691i | ||||
\(689\) | −323.308 | + | 280.148i | −0.0178767 | + | 0.0154903i | ||||
\(690\) | −544.255 | + | 4730.49i | −0.0300281 | + | 0.260995i | ||||
\(691\) | 16946.8 | + | 4976.02i | 0.932974 | + | 0.273946i | 0.712681 | − | 0.701488i | \(-0.247481\pi\) |
0.220293 | + | 0.975434i | \(0.429299\pi\) | |||||||
\(692\) | −44569.5 | − | 20354.2i | −2.44838 | − | 1.11814i | ||||
\(693\) | 14482.0 | + | 11181.6i | 0.793834 | + | 0.612920i | ||||
\(694\) | 6457.32 | − | 44911.7i | 0.353194 | − | 2.45652i | ||||
\(695\) | 2339.08 | + | 3639.69i | 0.127664 | + | 0.198649i | ||||
\(696\) | 10592.7 | − | 12946.2i | 0.576891 | − | 0.705063i | ||||
\(697\) | 709.210 | − | 2415.35i | 0.0385412 | − | 0.131259i | ||||
\(698\) | 39543.1 | + | 25412.8i | 2.14431 | + | 1.37807i | ||||
\(699\) | 2161.71 | − | 3582.29i | 0.116972 | − | 0.193840i | ||||
\(700\) | 14025.4i | 0.757301i | ||||||||
\(701\) | 23117.1 | + | 14856.4i | 1.24553 | + | 0.800456i | 0.986236 | − | 0.165342i | \(-0.0528727\pi\) |
0.259297 | + | 0.965798i | \(0.416509\pi\) | |||||||
\(702\) | 1519.85 | + | 803.746i | 0.0817138 | + | 0.0432129i | ||||
\(703\) | −7671.28 | − | 8853.13i | −0.411562 | − | 0.474968i | ||||
\(704\) | −12021.1 | − | 13873.1i | −0.643554 | − | 0.742700i | ||||
\(705\) | 8144.18 | − | 5565.15i | 0.435075 | − | 0.297299i | ||||
\(706\) | −9890.40 | − | 6356.18i | −0.527238 | − | 0.338835i | ||||
\(707\) | − | 31660.9i | − | 1.68420i | ||||||
\(708\) | 7553.77 | + | 4558.27i | 0.400972 | + | 0.241964i | ||||
\(709\) | 2039.50 | + | 1310.71i | 0.108033 | + | 0.0694283i | 0.593541 | − | 0.804803i | \(-0.297729\pi\) |
−0.485509 | + | 0.874232i | \(0.661366\pi\) | |||||||
\(710\) | 7075.59 | − | 24097.2i | 0.374003 | − | 1.27374i | ||||
\(711\) | 4020.90 | + | 11291.4i | 0.212089 | + | 0.595585i | ||||
\(712\) | 9575.29 | + | 14899.4i | 0.504001 | + | 0.784242i | ||||
\(713\) | 882.687 | − | 6139.22i | 0.0463631 | − | 0.322462i | ||||
\(714\) | 4599.48 | + | 529.182i | 0.241080 | + | 0.0277369i | ||||
\(715\) | 721.024 | + | 329.280i | 0.0377129 | + | 0.0172229i | ||||
\(716\) | −40099.4 | − | 11774.2i | −2.09299 | − | 0.614559i | ||||
\(717\) | −23572.1 | − | 2712.03i | −1.22778 | − | 0.141259i | ||||
\(718\) | −24966.8 | + | 21633.8i | −1.29770 | + | 1.12447i | ||||
\(719\) | −11505.0 | + | 1654.17i | −0.596753 | + | 0.0858001i | −0.434071 | − | 0.900879i | \(-0.642923\pi\) |
−0.162681 | + | 0.986679i | \(0.552014\pi\) | |||||||
\(720\) | 14383.2 | − | 5121.89i | 0.744486 | − | 0.265113i | ||||
\(721\) | 8066.62 | + | 27472.4i | 0.416666 | + | 1.41904i | ||||
\(722\) | −25627.8 | − | 29576.1i | −1.32101 | − | 1.52453i | ||||
\(723\) | 17103.7 | + | 7234.32i | 0.879798 | + | 0.372126i | ||||
\(724\) | −52588.3 | + | 33796.5i | −2.69949 | + | 1.73486i | ||||
\(725\) | 2055.38 | + | 3198.23i | 0.105289 | + | 0.163834i | ||||
\(726\) | 372.014 | − | 1413.51i | 0.0190175 | − | 0.0722593i | ||||
\(727\) | −21518.7 | − | 9827.25i | −1.09778 | − | 0.501338i | −0.217626 | − | 0.976032i | \(-0.569831\pi\) |
−0.880151 | + | 0.474694i | \(0.842559\pi\) | |||||||
\(728\) | 1217.19 | − | 1404.71i | 0.0619670 | − | 0.0715138i | ||||
\(729\) | 15214.3 | + | 12487.8i | 0.772966 | + | 0.634447i | ||||
\(730\) | 19771.8 | − | 22817.9i | 1.00245 | − | 1.15689i | ||||
\(731\) | −2007.21 | − | 589.369i | −0.101559 | − | 0.0298203i | ||||
\(732\) | −58935.1 | − | 15510.8i | −2.97583 | − | 0.783191i | ||||
\(733\) | −24826.4 | + | 3569.49i | −1.25100 | + | 0.179867i | −0.735797 | − | 0.677202i | \(-0.763192\pi\) |
−0.515202 | + | 0.857069i | \(0.672283\pi\) | |||||||
\(734\) | −14986.4 | + | 6844.05i | −0.753620 | + | 0.344167i | ||||
\(735\) | −250.094 | − | 770.521i | −0.0125508 | − | 0.0386681i | ||||
\(736\) | − | 20.4994i | − | 0.00102665i | ||||||
\(737\) | −14523.2 | + | 13119.4i | −0.725872 | + | 0.655712i | ||||
\(738\) | −16195.5 | − | 30739.9i | −0.807810 | − | 1.53327i | ||||
\(739\) | −1841.72 | − | 1595.86i | −0.0916762 | − | 0.0794379i | 0.607817 | − | 0.794077i | \(-0.292045\pi\) |
−0.699493 | + | 0.714639i | \(0.746591\pi\) | |||||||
\(740\) | −5667.51 | − | 12410.1i | −0.281543 | − | 0.616493i | ||||
\(741\) | 617.185 | − | 1459.18i | 0.0305976 | − | 0.0723403i | ||||
\(742\) | 4479.71 | + | 15256.5i | 0.221638 | + | 0.754829i | ||||
\(743\) | −8053.34 | + | 27427.1i | −0.397642 | + | 1.35425i | 0.480981 | + | 0.876731i | \(0.340280\pi\) |
−0.878624 | + | 0.477515i | \(0.841538\pi\) | |||||||
\(744\) | −56894.9 | + | 18466.8i | −2.80359 | + | 0.909982i | ||||
\(745\) | −11716.7 | + | 18231.6i | −0.576198 | + | 0.896581i | ||||
\(746\) | 137.118 | + | 118.814i | 0.00672957 | + | 0.00583121i | ||||
\(747\) | 1900.44 | + | 33599.4i | 0.0930836 | + | 1.64570i | ||||
\(748\) | 1540.03 | + | 5244.86i | 0.0752796 | + | 0.256379i | ||||
\(749\) | −15292.1 | + | 9827.61i | −0.746007 | + | 0.479430i | ||||
\(750\) | 1092.48 | + | 38660.6i | 0.0531892 | + | 1.88225i | ||||
\(751\) | 2167.20 | + | 15073.2i | 0.105302 | + | 0.732394i | 0.972241 | + | 0.233980i | \(0.0751750\pi\) |
−0.866939 | + | 0.498414i | \(0.833916\pi\) | |||||||
\(752\) | 10295.3 | − | 8920.95i | 0.499244 | − | 0.432598i | ||||
\(753\) | −1345.60 | + | 5112.78i | −0.0651216 | + | 0.247437i | ||||
\(754\) | 143.514 | − | 998.161i | 0.00693166 | − | 0.0482107i | ||||
\(755\) | −340.610 | − | 2368.99i | −0.0164186 | − | 0.114194i | ||||
\(756\) | 33752.1 | − | 25976.9i | 1.62375 | − | 1.24970i | ||||
\(757\) | −5341.35 | + | 2439.31i | −0.256453 | + | 0.117118i | −0.539493 | − | 0.841990i | \(-0.681384\pi\) |
0.283041 | + | 0.959108i | \(0.408657\pi\) | |||||||
\(758\) | −14798.2 | + | 50398.2i | −0.709098 | + | 2.41497i | ||||
\(759\) | −3227.08 | + | 2205.16i | −0.154329 | + | 0.105457i | ||||
\(760\) | −17579.6 | − | 38493.9i | −0.839050 | − | 1.83726i | ||||
\(761\) | −27279.0 | − | 3922.13i | −1.29943 | − | 0.186829i | −0.542348 | − | 0.840154i | \(-0.682465\pi\) |
−0.757078 | + | 0.653325i | \(0.773374\pi\) | |||||||
\(762\) | −498.141 | − | 17628.1i | −0.0236821 | − | 0.838057i | ||||
\(763\) | 4135.75 | − | 28764.8i | 0.196231 | − | 1.36482i | ||||
\(764\) | 43204.6 | + | 12686.0i | 2.04593 | + | 0.600738i | ||||
\(765\) | 2287.74 | + | 197.919i | 0.108122 | + | 0.00935396i | ||||
\(766\) | −37963.9 | −1.79072 | ||||||||
\(767\) | 265.729 | 0.0125097 | ||||||||
\(768\) | −38175.3 | + | 18754.9i | −1.79366 | + | 0.881196i | ||||
\(769\) | 15460.2 | + | 7060.43i | 0.724979 | + | 0.331087i | 0.743495 | − | 0.668742i | \(-0.233167\pi\) |
−0.0185159 | + | 0.999829i | \(0.505894\pi\) | |||||||
\(770\) | 22265.6 | − | 19293.3i | 1.04208 | − | 0.902964i | ||||
\(771\) | −368.677 | − | 2134.31i | −0.0172212 | − | 0.0996954i | ||||
\(772\) | −5622.90 | + | 12312.4i | −0.262141 | + | 0.574008i | ||||
\(773\) | 11594.3 | − | 18041.1i | 0.539479 | − | 0.839446i | −0.459328 | − | 0.888267i | \(-0.651910\pi\) |
0.998808 | + | 0.0488205i | \(0.0155462\pi\) | |||||||
\(774\) | −25545.5 | + | 13458.8i | −1.18632 | + | 0.625022i | ||||
\(775\) | − | 13594.9i | − | 0.630119i | ||||||
\(776\) | 4377.69 | − | 6811.82i | 0.202513 | − | 0.315116i | ||||
\(777\) | −6411.35 | − | 6989.96i | −0.296018 | − | 0.322733i | ||||
\(778\) | −45689.7 | − | 6569.19i | −2.10547 | − | 0.302721i | ||||
\(779\) | −26935.2 | + | 17310.2i | −1.23884 | + | 0.796152i | ||||
\(780\) | 1168.46 | − | 1428.07i | 0.0536379 | − | 0.0655551i | ||||
\(781\) | 18751.9 | − | 8563.71i | 0.859150 | − | 0.392361i | ||||
\(782\) | −410.864 | + | 899.666i | −0.0187883 | + | 0.0411407i | ||||
\(783\) | 3889.70 | − | 10869.8i | 0.177531 | − | 0.496111i | ||||
\(784\) | −464.756 | − | 1017.67i | −0.0211715 | − | 0.0463591i | ||||
\(785\) | −15756.1 | − | 18183.5i | −0.716381 | − | 0.826748i | ||||
\(786\) | 13036.4 | − | 30821.2i | 0.591593 | − | 1.39867i | ||||
\(787\) | 25105.4 | + | 3609.61i | 1.13712 | + | 0.163493i | 0.685053 | − | 0.728493i | \(-0.259779\pi\) |
0.452064 | + | 0.891986i | \(0.350688\pi\) | |||||||
\(788\) | −20263.3 | + | 5949.83i | −0.916052 | + | 0.268977i | ||||
\(789\) | −6613.32 | − | 38285.1i | −0.298403 | − | 1.72749i | ||||
\(790\) | 19103.9 | − | 2746.73i | 0.860363 | − | 0.123702i | ||||
\(791\) | 20816.3 | + | 32390.8i | 0.935706 | + | 1.45599i | ||||
\(792\) | 32811.2 | + | 18556.1i | 1.47209 | + | 0.832529i | ||||
\(793\) | −1761.18 | + | 517.130i | −0.0788668 | + | 0.0231574i | ||||
\(794\) | −29784.6 | + | 65219.1i | −1.33125 | + | 2.91504i | ||||
\(795\) | 2434.69 | + | 7501.08i | 0.108616 | + | 0.334637i | ||||
\(796\) | −32279.1 | − | 20744.5i | −1.43731 | − | 0.923706i | ||||
\(797\) | −9031.18 | − | 7825.56i | −0.401381 | − | 0.347799i | 0.430659 | − | 0.902515i | \(-0.358281\pi\) |
−0.832040 | + | 0.554716i | \(0.812827\pi\) | |||||||
\(798\) | −39804.6 | − | 43396.9i | −1.76575 | − | 1.92510i | ||||
\(799\) | 1965.84 | − | 577.224i | 0.0870420 | − | 0.0255579i | ||||
\(800\) | −6.39455 | − | 44.4751i | −0.000282602 | − | 0.00196554i | ||||
\(801\) | 9675.26 | + | 7470.28i | 0.426790 | + | 0.329525i | ||||
\(802\) | 30013.9 | − | 34637.9i | 1.32148 | − | 1.52507i | ||||
\(803\) | 24782.9 | 1.08913 | ||||||||
\(804\) | 20929.6 | + | 40467.3i | 0.918071 | + | 1.77509i | ||||
\(805\) | 3552.85 | 0.155555 | ||||||||
\(806\) | −2361.48 | + | 2725.30i | −0.103201 | + | 0.119100i | ||||
\(807\) | 1348.36 | − | 11719.5i | 0.0588162 | − | 0.511211i | ||||
\(808\) | −9283.07 | − | 64565.2i | −0.404180 | − | 2.81113i | ||||
\(809\) | −13153.1 | + | 3862.10i | −0.571618 | + | 0.167842i | −0.554752 | − | 0.832016i | \(-0.687187\pi\) |
−0.0168655 | + | 0.999858i | \(0.505369\pi\) | |||||||
\(810\) | 24560.8 | − | 20032.7i | 1.06541 | − | 0.868982i | ||||
\(811\) | −12396.9 | − | 10742.0i | −0.536764 | − | 0.465108i | 0.343795 | − | 0.939045i | \(-0.388287\pi\) |
−0.880559 | + | 0.473936i | \(0.842833\pi\) | |||||||
\(812\) | −21015.5 | − | 13505.9i | −0.908252 | − | 0.583698i | ||||
\(813\) | −10389.5 | + | 3372.19i | −0.448184 | + | 0.145471i | ||||
\(814\) | 6979.92 | − | 15283.9i | 0.300548 | − | 0.658108i | ||||
\(815\) | 16694.2 | − | 4901.86i | 0.717512 | − | 0.210681i | ||||
\(816\) | 3170.01 | − | 89.5792i | 0.135996 | − | 0.00384302i | ||||
\(817\) | 14385.2 | + | 22383.8i | 0.616002 | + | 0.958518i | ||||
\(818\) | 42647.2 | − | 6131.75i | 1.82289 | − | 0.262092i | ||||
\(819\) | 466.154 | − | 1195.12i | 0.0198886 | − | 0.0509901i | ||||
\(820\) | −35778.8 | + | 10505.6i | −1.52372 | + | 0.447405i | ||||
\(821\) | −7742.78 | − | 1113.24i | −0.329141 | − | 0.0473234i | −0.0242366 | − | 0.999706i | \(-0.507716\pi\) |
−0.304905 | + | 0.952383i | \(0.598625\pi\) | |||||||
\(822\) | 66001.5 | + | 27916.5i | 2.80057 | + | 1.18455i | ||||
\(823\) | −20526.6 | − | 23688.9i | −0.869394 | − | 1.00333i | −0.999929 | − | 0.0118903i | \(-0.996215\pi\) |
0.130536 | − | 0.991444i | \(-0.458330\pi\) | |||||||
\(824\) | 24505.0 | + | 53658.4i | 1.03601 | + | 2.26854i | ||||
\(825\) | −6313.54 | + | 5790.92i | −0.266436 | + | 0.244381i | ||||
\(826\) | 4102.94 | − | 8984.18i | 0.172832 | − | 0.378450i | ||||
\(827\) | 12143.9 | − | 5545.94i | 0.510623 | − | 0.233194i | −0.143405 | − | 0.989664i | \(-0.545805\pi\) |
0.654028 | + | 0.756471i | \(0.273078\pi\) | |||||||
\(828\) | 3052.25 | + | 8571.26i | 0.128107 | + | 0.359749i | ||||
\(829\) | −8198.33 | + | 5268.75i | −0.343474 | + | 0.220737i | −0.700992 | − | 0.713169i | \(-0.747259\pi\) |
0.357518 | + | 0.933906i | \(0.383623\pi\) | |||||||
\(830\) | 53638.2 | + | 7712.00i | 2.24314 | + | 0.322515i | ||||
\(831\) | 6644.00 | − | 6094.02i | 0.277350 | − | 0.254391i | ||||
\(832\) | −695.829 | + | 1082.73i | −0.0289946 | + | 0.0451165i | ||||
\(833\) | − | 168.263i | − | 0.00699876i | ||||||
\(834\) | 10619.9 | + | 6408.49i | 0.440930 | + | 0.266077i | ||||
\(835\) | −5012.28 | + | 7799.26i | −0.207733 | + | 0.323239i | ||||
\(836\) | 28882.2 | − | 63243.2i | 1.19487 | − | 2.61640i | ||||
\(837\) | −32716.0 | + | 25179.5i | −1.35105 | + | 1.03982i | ||||
\(838\) | −14125.2 | + | 12239.5i | −0.582274 | + | 0.504544i | ||||
\(839\) | −4726.20 | − | 2158.38i | −0.194477 | − | 0.0888148i | 0.315796 | − | 0.948827i | \(-0.397728\pi\) |
−0.510273 | + | 0.860012i | \(0.670456\pi\) | |||||||
\(840\) | −15108.7 | − | 30753.5i | −0.620594 | − | 1.26321i | ||||
\(841\) | 17617.6 | 0.722357 | ||||||||
\(842\) | 15016.6 | 0.614614 | ||||||||
\(843\) | −4346.14 | + | 2135.19i | −0.177567 | + | 0.0872358i | ||||
\(844\) | −57174.1 | − | 16787.8i | −2.33177 | − | 0.684670i | ||||
\(845\) | −2767.60 | + | 19249.1i | −0.112673 | + | 0.783656i | ||||
\(846\) | 13921.0 | − | 24615.3i | 0.565737 | − | 1.00034i | ||||
\(847\) | −1079.48 | − | 155.206i | −0.0437914 | − | 0.00629625i | ||||
\(848\) | 4524.44 | + | 9907.14i | 0.183219 | + | 0.401194i | ||||
\(849\) | 13947.5 | + | 20411.1i | 0.563812 | + | 0.825096i | ||||
\(850\) | −610.761 | + | 2080.06i | −0.0246458 | + | 0.0839359i | ||||
\(851\) | 1843.12 | − | 841.724i | 0.0742436 | − | 0.0339059i | ||||
\(852\) | −8168.42 | − | 47287.8i | −0.328457 | − | 1.90147i | ||||
\(853\) | 5961.41 | + | 41462.5i | 0.239291 | + | 1.66430i | 0.655622 | + | 0.755089i | \(0.272406\pi\) |
−0.416332 | + | 0.909213i | \(0.636684\pi\) | |||||||
\(854\) | −9709.26 | + | 67529.4i | −0.389045 | + | 2.70586i | ||||
\(855\) | −20342.2 | − | 20957.6i | −0.813673 | − | 0.838286i | ||||
\(856\) | −28303.2 | + | 24524.8i | −1.13012 | + | 0.979254i | ||||
\(857\) | 5736.30 | + | 39896.8i | 0.228644 | + | 1.59026i | 0.703829 | + | 0.710370i | \(0.251472\pi\) |
−0.475184 | + | 0.879886i | \(0.657619\pi\) | |||||||
\(858\) | 2271.55 | − | 64.1902i | 0.0903840 | − | 0.00255410i | ||||
\(859\) | 1131.05 | − | 726.881i | 0.0449254 | − | 0.0288718i | −0.517985 | − | 0.855389i | \(-0.673318\pi\) |
0.562911 | + | 0.826518i | \(0.309681\pi\) | |||||||
\(860\) | 8730.41 | + | 29733.0i | 0.346168 | + | 1.17894i | ||||
\(861\) | −21404.5 | + | 14626.3i | −0.847228 | + | 0.578935i | ||||
\(862\) | −147.196 | − | 127.546i | −0.00581613 | − | 0.00503971i | ||||
\(863\) | −13885.3 | + | 21605.9i | −0.547694 | + | 0.852228i | −0.999198 | − | 0.0400410i | \(-0.987251\pi\) |
0.451504 | + | 0.892269i | \(0.350888\pi\) | |||||||
\(864\) | −95.1856 | + | 97.7621i | −0.00374801 | + | 0.00384946i | ||||
\(865\) | −7664.60 | + | 26103.2i | −0.301277 | + | 1.02605i | ||||
\(866\) | 4770.05 | + | 16245.3i | 0.187174 | + | 0.637457i | ||||
\(867\) | −23072.7 | − | 9759.03i | −0.903796 | − | 0.382277i | ||||
\(868\) | 37109.8 | + | 81259.0i | 1.45114 | + | 3.17755i | ||||
\(869\) | 11972.9 | + | 10374.5i | 0.467378 | + | 0.404985i | ||||
\(870\) | −15916.5 | − | 9604.73i | −0.620254 | − | 0.374288i | ||||
\(871\) | 1169.46 | + | 717.868i | 0.0454945 | + | 0.0279266i | ||||
\(872\) | − | 59871.8i | − | 2.32513i | ||||||
\(873\) | 1269.13 | − | 5442.43i | 0.0492023 | − | 0.210995i | ||||
\(874\) | 11442.9 | − | 5225.81i | 0.442864 | − | 0.202249i | ||||
\(875\) | 28563.7 | − | 4106.84i | 1.10358 | − | 0.158670i | ||||
\(876\) | 14683.3 | − | 55790.9i | 0.566328 | − | 2.15183i | ||||
\(877\) | 12726.8 | + | 3736.92i | 0.490026 | + | 0.143885i | 0.517405 | − | 0.855740i | \(-0.326898\pi\) |
−0.0273791 | + | 0.999625i | \(0.508716\pi\) | |||||||
\(878\) | 53899.3 | − | 62203.1i | 2.07177 | − | 2.39095i | ||||
\(879\) | 530.203 | + | 1079.22i | 0.0203451 | + | 0.0414121i | ||||
\(880\) | 13215.3 | − | 15251.2i | 0.506235 | − | 0.584226i | ||||
\(881\) | 26104.1 | + | 11921.3i | 0.998262 | + | 0.455891i | 0.846421 | − | 0.532514i | \(-0.178753\pi\) |
0.151841 | + | 0.988405i | \(0.451480\pi\) | |||||||
\(882\) | −1617.57 | − | 1666.50i | −0.0617534 | − | 0.0636214i | ||||
\(883\) | 17051.4 | + | 26532.6i | 0.649860 | + | 1.01120i | 0.997295 | + | 0.0734982i | \(0.0234163\pi\) |
−0.347435 | + | 0.937704i | \(0.612947\pi\) | |||||||
\(884\) | 322.417 | − | 207.205i | 0.0122670 | − | 0.00788355i | ||||
\(885\) | 1908.28 | − | 4511.65i | 0.0724816 | − | 0.171364i | ||||
\(886\) | 6992.09 | + | 8069.31i | 0.265129 | + | 0.305975i | ||||
\(887\) | −3902.56 | − | 13290.9i | −0.147728 | − | 0.503117i | 0.852065 | − | 0.523436i | \(-0.175350\pi\) |
−0.999794 | + | 0.0203190i | \(0.993532\pi\) | |||||||
\(888\) | −15123.9 | − | 12374.6i | −0.571539 | − | 0.467640i | ||||
\(889\) | −13024.2 | + | 1872.60i | −0.491359 | + | 0.0706467i | ||||
\(890\) | 14875.4 | − | 12889.6i | 0.560252 | − | 0.485461i | ||||
\(891\) | 25629.3 | + | 4467.98i | 0.963653 | + | 0.167994i | ||||
\(892\) | −14281.9 | − | 4193.54i | −0.536091 | − | 0.157411i | ||||
\(893\) | −23704.4 | − | 10825.4i | −0.888284 | − | 0.405666i | ||||
\(894\) | −7101.50 | + | 61724.0i | −0.265671 | + | 2.30913i | ||||
\(895\) | −3302.37 | + | 22968.5i | −0.123337 | + | 0.857824i | ||||
\(896\) | 25783.0 | + | 40119.1i | 0.961327 | + | 1.49585i | ||||
\(897\) | 212.093 | + | 173.537i | 0.00789473 | + | 0.00645956i | ||||
\(898\) | −8380.06 | + | 28539.9i | −0.311410 | + | 1.06057i | ||||
\(899\) | 20370.4 | + | 13091.3i | 0.755720 | + | 0.485672i | ||||
\(900\) | 9295.80 | + | 17643.9i | 0.344289 | + | 0.653479i | ||||
\(901\) | 1638.05i | 0.0605677i | ||||||||
\(902\) | −38634.0 | − | 24828.6i | −1.42613 | − | 0.916520i | ||||
\(903\) | 12154.8 | + | 17787.6i | 0.447936 | + | 0.655521i | ||||
\(904\) | 51947.2 | + | 59950.3i | 1.91122 | + | 2.20566i | ||||
\(905\) | 22729.6 | + | 26231.4i | 0.834870 | + | 0.963491i | ||||
\(906\) | −3871.18 | − | 5665.17i | −0.141955 | − | 0.207740i | ||||
\(907\) | 43031.5 | + | 27654.6i | 1.57534 | + | 1.01241i | 0.977535 | + | 0.210773i | \(0.0675979\pi\) |
0.597808 | + | 0.801639i | \(0.296038\pi\) | |||||||
\(908\) | − | 72199.6i | − | 2.63880i | ||||||
\(909\) | −20984.3 | − | 39829.3i | −0.765683 | − | 1.45331i | ||||
\(910\) | −1737.73 | − | 1116.77i | −0.0633026 | − | 0.0406821i | ||||
\(911\) | −7321.46 | + | 24934.6i | −0.266269 | + | 0.906828i | 0.712467 | + | 0.701705i | \(0.247578\pi\) |
−0.978736 | + | 0.205123i | \(0.934241\pi\) | |||||||
\(912\) | −31217.7 | − | 25542.7i | −1.13347 | − | 0.927415i | ||||
\(913\) | 24048.1 | + | 37419.5i | 0.871714 | + | 1.35641i | ||||
\(914\) | 5436.12 | − | 37809.1i | 0.196730 | − | 1.36829i | ||||
\(915\) | −3867.57 | + | 33615.7i | −0.139735 | + | 1.21454i | ||||
\(916\) | 81111.2 | + | 37042.2i | 2.92575 | + | 1.33615i | ||||
\(917\) | −23957.7 | − | 7034.62i | −0.862762 | − | 0.253330i | ||||
\(918\) | 6136.87 | − | 2382.75i | 0.220639 | − | 0.0856672i | ||||
\(919\) | −1307.47 | + | 1132.93i | −0.0469310 | + | 0.0406659i | −0.678010 | − | 0.735052i | \(-0.737158\pi\) |
0.631080 | + | 0.775718i | \(0.282612\pi\) | |||||||
\(920\) | 7245.22 | − | 1041.71i | 0.259639 | − | 0.0373305i | ||||
\(921\) | −7956.18 | − | 6509.84i | −0.284653 | − | 0.232906i | ||||
\(922\) | −13559.2 | − | 46178.4i | −0.484326 | − | 1.64946i | ||||
\(923\) | −946.516 | − | 1092.34i | −0.0337540 | − | 0.0389542i | ||||
\(924\) | 21929.8 | − | 51847.4i | 0.780776 | − | 1.84595i | ||||
\(925\) | 3736.23 | − | 2401.13i | 0.132807 | − | 0.0853499i | ||||
\(926\) | 18832.6 | + | 29304.1i | 0.668336 | + | 1.03995i | ||||
\(927\) | 28356.0 | + | 29213.8i | 1.00467 | + | 1.03507i | ||||
\(928\) | 72.7988 | + | 33.2461i | 0.00257515 | + | 0.00117603i | ||||
\(929\) | 30161.7 | − | 34808.5i | 1.06520 | − | 1.22931i | 0.0928796 | − | 0.995677i | \(-0.470393\pi\) |
0.972325 | − | 0.233634i | \(-0.0750617\pi\) | |||||||
\(930\) | 29312.6 | + | 59665.4i | 1.03355 | + | 2.10377i | ||||
\(931\) | −1401.50 | + | 1617.42i | −0.0493365 | + | 0.0569374i | ||||
\(932\) | −12351.9 | − | 3626.84i | −0.434119 | − | 0.127469i | ||||
\(933\) | 7730.74 | − | 29373.9i | 0.271268 | − | 1.03071i | ||||
\(934\) | −78104.0 | + | 11229.7i | −2.73623 | + | 0.393411i | ||||
\(935\) | 2760.82 | − | 1260.83i | 0.0965653 | − | 0.0440999i | ||||
\(936\) | 600.202 | − | 2573.85i | 0.0209596 | − | 0.0898815i | ||||
\(937\) | − | 27816.7i | − | 0.969830i | −0.874561 | − | 0.484915i | \(-0.838850\pi\) | ||
0.874561 | − | 0.484915i | \(-0.161150\pi\) | |||||||
\(938\) | 42327.6 | − | 28454.8i | 1.47340 | − | 0.990494i | ||||
\(939\) | −40946.1 | − | 24708.7i | −1.42303 | − | 0.858719i | ||||
\(940\) | −22936.8 | − | 19874.8i | −0.795867 | − | 0.689622i | ||||
\(941\) | −19411.2 | − | 42504.6i | −0.672462 | − | 1.47249i | −0.870437 | − | 0.492279i | \(-0.836164\pi\) |
0.197975 | − | 0.980207i | \(-0.436563\pi\) | |||||||
\(942\) | −63529.1 | − | 26870.8i | −2.19734 | − | 0.929403i | ||||
\(943\) | −1560.27 | − | 5313.79i | −0.0538805 | − | 0.183500i | ||||
\(944\) | 1905.99 | − | 6491.19i | 0.0657146 | − | 0.223803i | ||||
\(945\) | −16943.6 | − | 16497.1i | −0.583255 | − | 0.567883i | ||||
\(946\) | −20633.1 | + | 32105.7i | −0.709133 | + | 1.10343i | ||||
\(947\) | −29541.9 | − | 25598.2i | −1.01371 | − | 0.878383i | −0.0211038 | − | 0.999777i | \(-0.506718\pi\) |
−0.992604 | + | 0.121394i | \(0.961264\pi\) | |||||||
\(948\) | 30448.6 | − | 20806.4i | 1.04317 | − | 0.712829i | ||||
\(949\) | −489.541 | − | 1667.22i | −0.0167452 | − | 0.0570288i | ||||
\(950\) | 23196.2 | − | 14907.3i | 0.792194 | − | 0.509112i | ||||
\(951\) | −26987.1 | + | 762.611i | −0.920208 | + | 0.0260035i | ||||
\(952\) | −1012.86 | − | 7044.57i | −0.0344820 | − | 0.239828i | ||||
\(953\) | −12467.9 | + | 10803.5i | −0.423793 | + | 0.367219i | −0.840490 | − | 0.541826i | \(-0.817733\pi\) |
0.416697 | + | 0.909045i | \(0.363188\pi\) | |||||||
\(954\) | 15747.2 | + | 16223.6i | 0.534418 | + | 0.550584i | ||||
\(955\) | 3558.11 | − | 24747.2i | 0.120563 | − | 0.838534i | ||||
\(956\) | 10389.7 | + | 72262.2i | 0.351494 | + | 2.44469i | ||||
\(957\) | −2597.39 | − | 15036.6i | −0.0877344 | − | 0.507903i | ||||
\(958\) | 44407.9 | − | 20280.4i | 1.49765 | − | 0.683956i | ||||
\(959\) | 15064.2 | − | 51303.9i | 0.507244 | − | 1.72752i | ||||
\(960\) | 13386.1 | + | 19589.5i | 0.450034 | + | 0.658591i | ||||
\(961\) | −23595.0 | − | 51665.8i | −0.792018 | − | 1.73428i | ||||
\(962\) | −1166.07 | − | 167.655i | −0.0390806 | − | 0.00561895i | ||||
\(963\) | −12723.8 | + | 22498.4i | −0.425772 | + | 0.752857i | ||||
\(964\) | 8131.68 | − | 56557.0i | 0.271684 | − | 1.88961i | ||||
\(965\) | 7211.08 | + | 2117.36i | 0.240552 | + | 0.0706325i | ||||
\(966\) | 9141.98 | − | 4491.30i | 0.304491 | − | 0.149591i | ||||
\(967\) | −35905.3 | −1.19404 | −0.597020 | − | 0.802226i | \(-0.703649\pi\) | ||||
−0.597020 | + | 0.802226i | \(0.703649\pi\) | |||||||
\(968\) | −2246.86 | −0.0746040 | ||||||||
\(969\) | −2674.97 | − | 5444.86i | −0.0886815 | − | 0.180510i | ||||
\(970\) | −8185.58 | − | 3738.23i | −0.270952 | − | 0.123740i | ||||
\(971\) | 18456.9 | − | 15993.0i | 0.610001 | − | 0.528569i | −0.294163 | − | 0.955755i | \(-0.595041\pi\) |
0.904163 | + | 0.427187i | \(0.140495\pi\) | |||||||
\(972\) | 25243.0 | − | 55049.2i | 0.832994 | − | 1.81657i | ||||
\(973\) | 3844.56 | − | 8418.41i | 0.126671 | − | 0.277371i | ||||
\(974\) | −47698.3 | + | 74220.0i | −1.56915 | + | 2.44164i | ||||
\(975\) | 514.285 | + | 310.342i | 0.0168926 | + | 0.0101937i | ||||
\(976\) | 46731.1i | 1.53261i | ||||||||
\(977\) | 22074.1 | − | 34348.0i | 0.722839 | − | 1.12476i | −0.264229 | − | 0.964460i | \(-0.585118\pi\) |
0.987068 | − | 0.160300i | \(-0.0512460\pi\) | |||||||
\(978\) | 36759.9 | − | 33717.0i | 1.20189 | − | 1.10240i | ||||
\(979\) | 15992.0 | + | 2299.30i | 0.522069 | + | 0.0750622i | ||||
\(980\) | −2096.82 | + | 1347.55i | −0.0683476 | + | 0.0439243i | ||||
\(981\) | −13862.0 | − | 38927.1i | −0.451153 | − | 1.26692i | ||||
\(982\) | 66208.5 | − | 30236.4i | 2.15152 | − | 0.982568i | ||||
\(983\) | −17539.0 | + | 38405.1i | −0.569083 | + | 1.24612i | 0.378201 | + | 0.925723i | \(0.376543\pi\) |
−0.947284 | + | 0.320394i | \(0.896185\pi\) | |||||||
\(984\) | −39361.1 | + | 36102.9i | −1.27519 | + | 1.16963i | ||||
\(985\) | 4871.13 | + | 10666.3i | 0.157571 | + | 0.345032i | ||||
\(986\) | −2528.61 | − | 2918.17i | −0.0816707 | − | 0.0942530i | ||||
\(987\) | −19433.1 | − | 8219.57i | −0.626709 | − | 0.265078i | ||||
\(988\) | −4825.08 | − | 693.741i | −0.155371 | − | 0.0223389i | ||||
\(989\) | −4415.88 | + | 1296.62i | −0.141978 | + | 0.0416886i | ||||
\(990\) | 15222.9 | − | 39028.2i | 0.488701 | − | 1.25293i | ||||
\(991\) | 14833.4 | − | 2132.72i | 0.475478 | − | 0.0683634i | 0.0995901 | − | 0.995029i | \(-0.468247\pi\) |
0.375888 | + | 0.926665i | \(0.377338\pi\) | |||||||
\(992\) | −154.725 | − | 240.756i | −0.00495213 | − | 0.00770566i | ||||
\(993\) | 36796.4 | − | 1039.80i | 1.17593 | − | 0.0332298i | ||||
\(994\) | −51546.0 | + | 15135.3i | −1.64481 | + | 0.482959i | ||||
\(995\) | −8850.28 | + | 19379.4i | −0.281983 | + | 0.617456i | ||||
\(996\) | 98486.2 | − | 31966.4i | 3.13319 | − | 1.01696i | ||||
\(997\) | 10381.7 | + | 6671.91i | 0.329781 | + | 0.211937i | 0.695044 | − | 0.718967i | \(-0.255385\pi\) |
−0.365263 | + | 0.930904i | \(0.619021\pi\) | |||||||
\(998\) | 17351.3 | + | 15035.0i | 0.550346 | + | 0.476878i | ||||
\(999\) | −12698.3 | − | 4544.02i | −0.402158 | − | 0.143910i |
(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 | 201.4.j.b.5.6 | ✓ | 640 | |
3.2 | odd | 2 | inner | 201.4.j.b.5.59 | yes | 640 | |
67.27 | odd | 22 | inner | 201.4.j.b.161.59 | yes | 640 | |
201.161 | even | 22 | inner | 201.4.j.b.161.6 | yes | 640 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
201.4.j.b.5.6 | ✓ | 640 | 1.1 | even | 1 | trivial | |
201.4.j.b.5.59 | yes | 640 | 3.2 | odd | 2 | inner | |
201.4.j.b.161.6 | yes | 640 | 201.161 | even | 22 | inner | |
201.4.j.b.161.59 | yes | 640 | 67.27 | odd | 22 | inner |