Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [197,4,Mod(6,197)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(197, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([13]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("197.6");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 197 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 197.e (of order \(14\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(11.6233762711\) |
Analytic rank: | \(0\) |
Dimension: | \(288\) |
Relative dimension: | \(48\) over \(\Q(\zeta_{14})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{14}]$ |
Embedding invariants
Embedding label | 6.5 | ||
Character | \(\chi\) | \(=\) | 197.6 |
Dual form | 197.4.e.a.33.5 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/197\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{13}{14}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −4.65379 | + | 1.06220i | −1.64536 | + | 0.375543i | −0.942085 | − | 0.335373i | \(-0.891138\pi\) |
−0.703277 | + | 0.710916i | \(0.748281\pi\) | |||||||
\(3\) | −8.36922 | − | 1.91022i | −1.61066 | − | 0.367622i | −0.679913 | − | 0.733293i | \(-0.737983\pi\) |
−0.930744 | + | 0.365670i | \(0.880840\pi\) | |||||||
\(4\) | 13.3217 | − | 6.41540i | 1.66522 | − | 0.801926i | ||||
\(5\) | 3.98034 | − | 8.26527i | 0.356013 | − | 0.739268i | −0.643648 | − | 0.765322i | \(-0.722580\pi\) |
0.999661 | + | 0.0260537i | \(0.00829408\pi\) | |||||||
\(6\) | 40.9776 | 2.78817 | ||||||||
\(7\) | 1.20188 | − | 5.26576i | 0.0648952 | − | 0.284324i | −0.932060 | − | 0.362305i | \(-0.881990\pi\) |
0.996955 | + | 0.0779803i | \(0.0248471\pi\) | |||||||
\(8\) | −25.3257 | + | 20.1966i | −1.11925 | + | 0.892570i | ||||
\(9\) | 42.0688 | + | 20.2593i | 1.55810 | + | 0.750343i | ||||
\(10\) | −9.74433 | + | 42.6927i | −0.308143 | + | 1.35006i | ||||
\(11\) | −8.34305 | + | 1.90425i | −0.228684 | + | 0.0521956i | −0.335327 | − | 0.942102i | \(-0.608847\pi\) |
0.106643 | + | 0.994297i | \(0.465990\pi\) | |||||||
\(12\) | −123.747 | + | 28.2445i | −2.97690 | + | 0.679458i | ||||
\(13\) | 0.743095 | + | 0.592598i | 0.0158536 | + | 0.0126429i | 0.631385 | − | 0.775470i | \(-0.282487\pi\) |
−0.615531 | + | 0.788113i | \(0.711058\pi\) | |||||||
\(14\) | 25.7824i | 0.492188i | ||||||||
\(15\) | −49.1009 | + | 61.5706i | −0.845186 | + | 1.05983i | ||||
\(16\) | 22.6562 | − | 28.4100i | 0.354004 | − | 0.443907i | ||||
\(17\) | −27.6943 | + | 57.5078i | −0.395109 | + | 0.820452i | 0.604605 | + | 0.796526i | \(0.293331\pi\) |
−0.999714 | + | 0.0239265i | \(0.992383\pi\) | |||||||
\(18\) | −217.299 | − | 49.5970i | −2.84543 | − | 0.649451i | ||||
\(19\) | 31.5270 | 0.380673 | 0.190337 | − | 0.981719i | \(-0.439042\pi\) | ||||
0.190337 | + | 0.981719i | \(0.439042\pi\) | |||||||
\(20\) | − | 135.643i | − | 1.51654i | ||||||
\(21\) | −20.1175 | + | 41.7745i | −0.209048 | + | 0.434093i | ||||
\(22\) | 36.8041 | − | 17.7239i | 0.356666 | − | 0.171762i | ||||
\(23\) | 4.18955 | + | 18.3556i | 0.0379818 | + | 0.166409i | 0.990362 | − | 0.138504i | \(-0.0442295\pi\) |
−0.952380 | + | 0.304914i | \(0.901372\pi\) | |||||||
\(24\) | 250.536 | − | 120.652i | 2.13085 | − | 1.02616i | ||||
\(25\) | 25.4647 | + | 31.9317i | 0.203717 | + | 0.255454i | ||||
\(26\) | −4.08766 | − | 1.96851i | −0.0308329 | − | 0.0148484i | ||||
\(27\) | −132.170 | − | 105.402i | −0.942081 | − | 0.751285i | ||||
\(28\) | −17.7709 | − | 77.8596i | −0.119943 | − | 0.525503i | ||||
\(29\) | 21.8724 | + | 95.8294i | 0.140055 | + | 0.613623i | 0.995420 | + | 0.0955968i | \(0.0304759\pi\) |
−0.855365 | + | 0.518026i | \(0.826667\pi\) | |||||||
\(30\) | 163.105 | − | 338.691i | 0.992625 | − | 2.06121i | ||||
\(31\) | 306.453 | − | 69.9460i | 1.77550 | − | 0.405247i | 0.795778 | − | 0.605588i | \(-0.207062\pi\) |
0.979726 | + | 0.200341i | \(0.0642049\pi\) | |||||||
\(32\) | 37.1772 | − | 77.1993i | 0.205377 | − | 0.426470i | ||||
\(33\) | 73.4624 | 0.387520 | ||||||||
\(34\) | 67.7988 | − | 297.046i | 0.341982 | − | 1.49832i | ||||
\(35\) | −38.7391 | − | 30.8934i | −0.187089 | − | 0.149198i | ||||
\(36\) | 690.400 | 3.19630 | ||||||||
\(37\) | 0.808741 | + | 1.01413i | 0.00359341 | + | 0.00450600i | 0.783625 | − | 0.621234i | \(-0.213368\pi\) |
−0.780032 | + | 0.625740i | \(0.784797\pi\) | |||||||
\(38\) | −146.720 | + | 33.4879i | −0.626345 | + | 0.142959i | ||||
\(39\) | −5.08713 | − | 6.37906i | −0.0208870 | − | 0.0261915i | ||||
\(40\) | 66.1250 | + | 289.713i | 0.261382 | + | 1.14519i | ||||
\(41\) | 60.2505 | + | 29.0151i | 0.229501 | + | 0.110522i | 0.545101 | − | 0.838371i | \(-0.316491\pi\) |
−0.315600 | + | 0.948892i | \(0.602206\pi\) | |||||||
\(42\) | 49.2500 | − | 215.778i | 0.180939 | − | 0.792746i | ||||
\(43\) | −36.4981 | − | 159.909i | −0.129440 | − | 0.567113i | −0.997501 | − | 0.0706552i | \(-0.977491\pi\) |
0.868061 | − | 0.496457i | \(-0.165366\pi\) | |||||||
\(44\) | −98.9273 | + | 78.8919i | −0.338951 | + | 0.270305i | ||||
\(45\) | 334.897 | − | 267.071i | 1.10941 | − | 0.884725i | ||||
\(46\) | −38.9946 | − | 80.9731i | −0.124988 | − | 0.259540i | ||||
\(47\) | −273.440 | − | 342.883i | −0.848624 | − | 1.06414i | −0.997166 | − | 0.0752343i | \(-0.976030\pi\) |
0.148542 | − | 0.988906i | \(-0.452542\pi\) | |||||||
\(48\) | −243.885 | + | 194.491i | −0.733369 | + | 0.584842i | ||||
\(49\) | 282.749 | + | 136.165i | 0.824340 | + | 0.396981i | ||||
\(50\) | −152.425 | − | 121.555i | −0.431123 | − | 0.343809i | ||||
\(51\) | 341.632 | − | 428.393i | 0.938002 | − | 1.17622i | ||||
\(52\) | 13.7011 | + | 3.12718i | 0.0365384 | + | 0.00833965i | ||||
\(53\) | −426.819 | + | 205.545i | −1.10619 | + | 0.532714i | −0.895600 | − | 0.444860i | \(-0.853253\pi\) |
−0.210592 | + | 0.977574i | \(0.567539\pi\) | |||||||
\(54\) | 727.051 | + | 350.129i | 1.83221 | + | 0.882343i | ||||
\(55\) | −17.4691 | + | 76.5371i | −0.0428279 | + | 0.187641i | ||||
\(56\) | 75.9119 | + | 157.633i | 0.181146 | + | 0.376153i | ||||
\(57\) | −263.857 | − | 60.2235i | −0.613134 | − | 0.139944i | ||||
\(58\) | −203.579 | − | 422.737i | −0.460884 | − | 0.957035i | ||||
\(59\) | −18.7246 | − | 82.0377i | −0.0413175 | − | 0.181024i | 0.950059 | − | 0.312072i | \(-0.101023\pi\) |
−0.991376 | + | 0.131048i | \(0.958166\pi\) | |||||||
\(60\) | −259.108 | + | 1135.23i | −0.557512 | + | 2.44262i | ||||
\(61\) | 103.230 | + | 452.278i | 0.216675 | + | 0.949316i | 0.959915 | + | 0.280291i | \(0.0904310\pi\) |
−0.743240 | + | 0.669025i | \(0.766712\pi\) | |||||||
\(62\) | −1351.87 | + | 651.027i | −2.76916 | + | 1.33356i | ||||
\(63\) | 157.242 | − | 197.175i | 0.314454 | − | 0.394313i | ||||
\(64\) | −155.701 | + | 682.172i | −0.304104 | + | 1.33237i | ||||
\(65\) | 7.85576 | − | 3.78313i | 0.0149906 | − | 0.00721908i | ||||
\(66\) | −341.878 | + | 78.0315i | −0.637611 | + | 0.145531i | ||||
\(67\) | 253.841 | − | 202.431i | 0.462859 | − | 0.369118i | −0.364118 | − | 0.931353i | \(-0.618630\pi\) |
0.826978 | + | 0.562235i | \(0.190058\pi\) | |||||||
\(68\) | 943.773i | 1.68308i | ||||||||
\(69\) | − | 161.625i | − | 0.281991i | ||||||
\(70\) | 213.098 | + | 102.623i | 0.363859 | + | 0.175225i | ||||
\(71\) | 351.069 | − | 729.002i | 0.586820 | − | 1.21854i | −0.370316 | − | 0.928906i | \(-0.620751\pi\) |
0.957136 | − | 0.289639i | \(-0.0935351\pi\) | |||||||
\(72\) | −1474.59 | + | 336.565i | −2.41364 | + | 0.550897i | ||||
\(73\) | 802.606 | − | 640.057i | 1.28682 | − | 1.02621i | 0.289200 | − | 0.957269i | \(-0.406611\pi\) |
0.997621 | − | 0.0689364i | \(-0.0219605\pi\) | |||||||
\(74\) | −4.84092 | − | 3.86050i | −0.00760466 | − | 0.00606452i | ||||
\(75\) | −152.123 | − | 315.887i | −0.234209 | − | 0.486339i | ||||
\(76\) | 419.994 | − | 202.259i | 0.633903 | − | 0.305272i | ||||
\(77\) | 46.2212i | 0.0684077i | ||||||||
\(78\) | 30.4503 | + | 24.2833i | 0.0442027 | + | 0.0352505i | ||||
\(79\) | −445.028 | − | 924.109i | −0.633791 | − | 1.31608i | −0.932304 | − | 0.361675i | \(-0.882205\pi\) |
0.298513 | − | 0.954406i | \(-0.403509\pi\) | |||||||
\(80\) | −144.637 | − | 300.342i | −0.202136 | − | 0.419740i | ||||
\(81\) | 118.784 | + | 148.950i | 0.162941 | + | 0.204321i | ||||
\(82\) | −311.213 | − | 71.0322i | −0.419118 | − | 0.0956610i | ||||
\(83\) | −1275.01 | −1.68616 | −0.843078 | − | 0.537791i | \(-0.819259\pi\) | ||||
−0.843078 | + | 0.537791i | \(0.819259\pi\) | |||||||
\(84\) | 685.571i | 0.890499i | ||||||||
\(85\) | 365.085 | + | 457.802i | 0.465870 | + | 0.584183i | ||||
\(86\) | 339.709 | + | 705.413i | 0.425951 | + | 0.884496i | ||||
\(87\) | − | 843.799i | − | 1.03982i | ||||||
\(88\) | 172.834 | − | 216.727i | 0.209366 | − | 0.262536i | ||||
\(89\) | 882.126 | + | 201.339i | 1.05062 | + | 0.239797i | 0.712766 | − | 0.701402i | \(-0.247442\pi\) |
0.337853 | + | 0.941199i | \(0.390299\pi\) | |||||||
\(90\) | −1274.86 | + | 1598.62i | −1.49313 | + | 1.87232i | ||||
\(91\) | 4.01359 | − | 3.20073i | 0.00462350 | − | 0.00368712i | ||||
\(92\) | 173.571 | + | 217.651i | 0.196696 | + | 0.246649i | ||||
\(93\) | −2698.39 | −3.00871 | ||||||||
\(94\) | 1636.74 | + | 1305.26i | 1.79592 | + | 1.43220i | ||||
\(95\) | 125.488 | − | 260.579i | 0.135525 | − | 0.281420i | ||||
\(96\) | −458.612 | + | 575.082i | −0.487572 | + | 0.611396i | ||||
\(97\) | 142.203 | + | 68.4812i | 0.148850 | + | 0.0716826i | 0.506826 | − | 0.862048i | \(-0.330819\pi\) |
−0.357976 | + | 0.933731i | \(0.616533\pi\) | |||||||
\(98\) | −1460.49 | − | 333.346i | −1.50542 | − | 0.343603i | ||||
\(99\) | −389.561 | − | 88.9147i | −0.395478 | − | 0.0902653i | ||||
\(100\) | 544.088 | + | 262.019i | 0.544088 | + | 0.262019i | ||||
\(101\) | 199.474 | − | 250.132i | 0.196519 | − | 0.246426i | −0.673802 | − | 0.738912i | \(-0.735340\pi\) |
0.870321 | + | 0.492485i | \(0.163911\pi\) | |||||||
\(102\) | −1134.85 | + | 2356.53i | −1.10163 | + | 2.28756i | ||||
\(103\) | 707.856 | + | 564.496i | 0.677156 | + | 0.540014i | 0.900571 | − | 0.434709i | \(-0.143149\pi\) |
−0.223414 | + | 0.974724i | \(0.571720\pi\) | |||||||
\(104\) | −30.7878 | −0.0290288 | ||||||||
\(105\) | 265.203 | + | 332.554i | 0.246487 | + | 0.309085i | ||||
\(106\) | 1768.00 | − | 1409.93i | 1.62003 | − | 1.29193i | ||||
\(107\) | −43.8569 | + | 54.9948i | −0.0396243 | + | 0.0496873i | −0.801249 | − | 0.598331i | \(-0.795831\pi\) |
0.761624 | + | 0.648019i | \(0.224402\pi\) | |||||||
\(108\) | −2436.94 | − | 556.215i | −2.17124 | − | 0.495572i | ||||
\(109\) | 1028.08 | − | 1289.17i | 0.903412 | − | 1.13284i | −0.0872076 | − | 0.996190i | \(-0.527794\pi\) |
0.990619 | − | 0.136652i | \(-0.0436342\pi\) | |||||||
\(110\) | − | 374.743i | − | 0.324821i | ||||||
\(111\) | −4.83133 | − | 10.0324i | −0.00413125 | − | 0.00857864i | ||||
\(112\) | −122.370 | − | 153.448i | −0.103240 | − | 0.129459i | ||||
\(113\) | − | 75.2610i | − | 0.0626545i | −0.999509 | − | 0.0313272i | \(-0.990027\pi\) | ||
0.999509 | − | 0.0313272i | \(-0.00997340\pi\) | |||||||
\(114\) | 1291.90 | 1.06138 | ||||||||
\(115\) | 168.390 | + | 38.4339i | 0.136543 | + | 0.0311651i | ||||
\(116\) | 906.163 | + | 1136.29i | 0.725303 | + | 0.909501i | ||||
\(117\) | 19.2555 | + | 39.9845i | 0.0152151 | + | 0.0315946i | ||||
\(118\) | 174.280 | + | 361.897i | 0.135965 | + | 0.282333i | ||||
\(119\) | 269.537 | + | 214.949i | 0.207634 | + | 0.165583i | ||||
\(120\) | − | 2550.98i | − | 1.94060i | ||||||
\(121\) | −1133.21 | + | 545.725i | −0.851397 | + | 0.410011i | ||||
\(122\) | −960.817 | − | 1995.16i | −0.713019 | − | 1.48060i | ||||
\(123\) | −448.824 | − | 357.926i | −0.329017 | − | 0.262383i | ||||
\(124\) | 3633.76 | − | 2897.82i | 2.63162 | − | 2.09865i | ||||
\(125\) | 1483.25 | − | 338.542i | 1.06133 | − | 0.242241i | ||||
\(126\) | −522.332 | + | 1084.63i | −0.369310 | + | 0.766879i | ||||
\(127\) | 1744.64 | + | 840.174i | 1.21899 | + | 0.587034i | 0.929030 | − | 0.370004i | \(-0.120644\pi\) |
0.289960 | + | 0.957039i | \(0.406358\pi\) | |||||||
\(128\) | − | 2654.59i | − | 1.83309i | ||||||
\(129\) | 1408.03i | 0.961009i | ||||||||
\(130\) | −32.5406 | + | 25.9503i | −0.0219538 | + | 0.0175076i | ||||
\(131\) | 191.715 | − | 43.7576i | 0.127864 | − | 0.0291841i | −0.158110 | − | 0.987422i | \(-0.550540\pi\) |
0.285974 | + | 0.958237i | \(0.407683\pi\) | |||||||
\(132\) | 978.646 | − | 471.291i | 0.645304 | − | 0.310762i | ||||
\(133\) | 37.8916 | − | 166.014i | 0.0247039 | − | 0.108235i | ||||
\(134\) | −966.299 | + | 1211.70i | −0.622952 | + | 0.781157i | ||||
\(135\) | −1397.26 | + | 672.886i | −0.890794 | + | 0.428984i | ||||
\(136\) | −460.082 | − | 2015.75i | −0.290086 | − | 1.27095i | ||||
\(137\) | 354.124 | − | 1551.52i | 0.220839 | − | 0.967557i | −0.736010 | − | 0.676971i | \(-0.763292\pi\) |
0.956849 | − | 0.290587i | \(-0.0938505\pi\) | |||||||
\(138\) | 171.678 | + | 752.170i | 0.105900 | + | 0.463978i | ||||
\(139\) | −838.853 | − | 1741.90i | −0.511875 | − | 1.06292i | −0.983465 | − | 0.181101i | \(-0.942034\pi\) |
0.471590 | − | 0.881818i | \(-0.343680\pi\) | |||||||
\(140\) | −714.265 | − | 163.026i | −0.431189 | − | 0.0984160i | ||||
\(141\) | 1633.50 | + | 3391.99i | 0.975641 | + | 2.02594i | ||||
\(142\) | −859.457 | + | 3765.53i | −0.507916 | + | 2.22532i | ||||
\(143\) | −7.32813 | − | 3.52904i | −0.00428538 | − | 0.00206373i | ||||
\(144\) | 1528.69 | − | 736.177i | 0.884657 | − | 0.426028i | ||||
\(145\) | 879.116 | + | 200.652i | 0.503494 | + | 0.114919i | ||||
\(146\) | −3055.29 | + | 3831.21i | −1.73190 | + | 2.17174i | ||||
\(147\) | −2106.28 | − | 1679.70i | −1.18179 | − | 0.942446i | ||||
\(148\) | 17.2799 | + | 8.32155i | 0.00959728 | + | 0.00462181i | ||||
\(149\) | −956.631 | + | 762.888i | −0.525975 | + | 0.419451i | −0.850146 | − | 0.526548i | \(-0.823486\pi\) |
0.324171 | + | 0.945999i | \(0.394915\pi\) | |||||||
\(150\) | 1043.48 | + | 1308.48i | 0.568000 | + | 0.712249i | ||||
\(151\) | −772.955 | − | 1605.06i | −0.416571 | − | 0.865018i | −0.998653 | − | 0.0518879i | \(-0.983476\pi\) |
0.582082 | − | 0.813130i | \(-0.302238\pi\) | |||||||
\(152\) | −798.443 | + | 636.737i | −0.426068 | + | 0.339778i | ||||
\(153\) | −2330.13 | + | 1858.22i | −1.23124 | + | 0.981882i | ||||
\(154\) | −49.0960 | − | 215.104i | −0.0256901 | − | 0.112555i | ||||
\(155\) | 641.667 | − | 2811.33i | 0.332516 | − | 1.45685i | ||||
\(156\) | −108.694 | − | 52.3441i | −0.0557850 | − | 0.0268646i | ||||
\(157\) | −315.353 | − | 1381.65i | −0.160305 | − | 0.702343i | −0.989638 | − | 0.143587i | \(-0.954136\pi\) |
0.829333 | − | 0.558755i | \(-0.188721\pi\) | |||||||
\(158\) | 3052.65 | + | 3827.90i | 1.53706 | + | 1.92741i | ||||
\(159\) | 3964.78 | − | 904.936i | 1.97753 | − | 0.451359i | ||||
\(160\) | −490.095 | − | 614.560i | −0.242159 | − | 0.303658i | ||||
\(161\) | 101.692 | 0.0497791 | ||||||||
\(162\) | −711.009 | − | 567.011i | −0.344828 | − | 0.274991i | ||||
\(163\) | −285.696 | + | 1251.72i | −0.137285 | + | 0.601485i | 0.858740 | + | 0.512411i | \(0.171248\pi\) |
−0.996025 | + | 0.0890734i | \(0.971609\pi\) | |||||||
\(164\) | 988.784 | 0.470799 | ||||||||
\(165\) | 292.406 | − | 607.186i | 0.137962 | − | 0.286481i | ||||
\(166\) | 5933.65 | − | 1354.32i | 2.77434 | − | 0.633225i | ||||
\(167\) | −216.291 | + | 449.132i | −0.100222 | + | 0.208113i | −0.945051 | − | 0.326924i | \(-0.893988\pi\) |
0.844829 | + | 0.535037i | \(0.179702\pi\) | |||||||
\(168\) | −334.211 | − | 1464.27i | −0.153482 | − | 0.672447i | ||||
\(169\) | −488.677 | − | 2141.04i | −0.222429 | − | 0.974527i | ||||
\(170\) | −2185.30 | − | 1742.72i | −0.985911 | − | 0.786238i | ||||
\(171\) | 1326.30 | + | 638.714i | 0.593128 | + | 0.285636i | ||||
\(172\) | −1512.10 | − | 1896.11i | −0.670327 | − | 0.840564i | ||||
\(173\) | −1346.56 | + | 648.471i | −0.591776 | + | 0.284984i | −0.705706 | − | 0.708504i | \(-0.749370\pi\) |
0.113930 | + | 0.993489i | \(0.463656\pi\) | |||||||
\(174\) | 896.280 | + | 3926.86i | 0.390499 | + | 1.71089i | ||||
\(175\) | 198.750 | − | 95.7130i | 0.0858520 | − | 0.0413441i | ||||
\(176\) | −134.922 | + | 280.169i | −0.0577850 | + | 0.119992i | ||||
\(177\) | 722.360i | 0.306757i | ||||||||
\(178\) | −4319.09 | −1.81870 | ||||||||
\(179\) | 800.124 | + | 182.623i | 0.334101 | + | 0.0762564i | 0.386280 | − | 0.922381i | \(-0.373760\pi\) |
−0.0521796 | + | 0.998638i | \(0.516617\pi\) | |||||||
\(180\) | 2748.03 | − | 5706.34i | 1.13792 | − | 2.36292i | ||||
\(181\) | −716.697 | + | 898.709i | −0.294319 | + | 0.369064i | −0.906902 | − | 0.421342i | \(-0.861559\pi\) |
0.612583 | + | 0.790406i | \(0.290130\pi\) | |||||||
\(182\) | −15.2786 | + | 19.1587i | −0.00622266 | + | 0.00780297i | ||||
\(183\) | − | 3982.41i | − | 1.60868i | ||||||
\(184\) | −476.824 | − | 380.254i | −0.191043 | − | 0.152352i | ||||
\(185\) | 11.6011 | − | 2.64788i | 0.00461044 | − | 0.00105230i | ||||
\(186\) | 12557.7 | − | 2866.22i | 4.95041 | − | 1.12990i | ||||
\(187\) | 121.546 | − | 532.527i | 0.0475311 | − | 0.208247i | ||||
\(188\) | −5842.42 | − | 2813.56i | −2.26650 | − | 1.09149i | ||||
\(189\) | −713.876 | + | 569.297i | −0.274745 | + | 0.219102i | ||||
\(190\) | −307.210 | + | 1345.97i | −0.117302 | + | 0.513933i | ||||
\(191\) | 945.779 | 0.358294 | 0.179147 | − | 0.983822i | \(-0.442666\pi\) | ||||
0.179147 | + | 0.983822i | \(0.442666\pi\) | |||||||
\(192\) | 2606.20 | − | 5411.83i | 0.979616 | − | 2.03419i | ||||
\(193\) | 3353.26 | − | 1614.85i | 1.25064 | − | 0.602276i | 0.312955 | − | 0.949768i | \(-0.398681\pi\) |
0.937683 | + | 0.347492i | \(0.112967\pi\) | |||||||
\(194\) | −734.521 | − | 167.650i | −0.271833 | − | 0.0620441i | ||||
\(195\) | −72.9732 | + | 16.6557i | −0.0267986 | + | 0.00611660i | ||||
\(196\) | 4640.25 | 1.69105 | ||||||||
\(197\) | 2751.57 | − | 272.466i | 0.995133 | − | 0.0985399i | ||||
\(198\) | 1907.38 | 0.684603 | ||||||||
\(199\) | −2116.22 | + | 483.014i | −0.753845 | + | 0.172060i | −0.582140 | − | 0.813088i | \(-0.697785\pi\) |
−0.171705 | + | 0.985148i | \(0.554927\pi\) | |||||||
\(200\) | −1289.82 | − | 294.393i | −0.456020 | − | 0.104084i | ||||
\(201\) | −2511.14 | + | 1209.30i | −0.881204 | + | 0.424365i | ||||
\(202\) | −662.619 | + | 1375.94i | −0.230800 | + | 0.479262i | ||||
\(203\) | 530.903 | 0.183557 | ||||||||
\(204\) | 1802.81 | − | 7898.65i | 0.618737 | − | 2.71086i | ||||
\(205\) | 479.635 | − | 382.496i | 0.163411 | − | 0.130316i | ||||
\(206\) | −3893.82 | − | 1875.16i | −1.31697 | − | 0.634218i | ||||
\(207\) | −195.622 | + | 857.076i | −0.0656844 | + | 0.287782i | ||||
\(208\) | 33.6715 | − | 7.68529i | 0.0112245 | − | 0.00256192i | ||||
\(209\) | −263.031 | + | 60.0352i | −0.0870539 | + | 0.0198695i | ||||
\(210\) | −1587.43 | − | 1265.94i | −0.521635 | − | 0.415990i | ||||
\(211\) | 3290.12i | 1.07347i | 0.843752 | + | 0.536733i | \(0.180342\pi\) | ||||
−0.843752 | + | 0.536733i | \(0.819658\pi\) | |||||||
\(212\) | −4367.31 | + | 5476.44i | −1.41485 | + | 1.77417i | ||||
\(213\) | −4330.73 | + | 5430.56i | −1.39313 | + | 1.74693i | ||||
\(214\) | 145.685 | − | 302.519i | 0.0465366 | − | 0.0966343i | ||||
\(215\) | −1466.96 | − | 334.825i | −0.465331 | − | 0.106209i | ||||
\(216\) | 5476.07 | 1.72500 | ||||||||
\(217\) | − | 1697.78i | − | 0.531118i | ||||||
\(218\) | −3415.10 | + | 7091.53i | −1.06101 | + | 2.20321i | ||||
\(219\) | −7939.84 | + | 3823.62i | −2.44988 | + | 1.17980i | ||||
\(220\) | 258.298 | + | 1131.68i | 0.0791566 | + | 0.346808i | ||||
\(221\) | −54.6585 | + | 26.3221i | −0.0166368 | + | 0.00801185i | ||||
\(222\) | 33.1403 | + | 41.5566i | 0.0100191 | + | 0.0125635i | ||||
\(223\) | 1150.68 | + | 554.139i | 0.345540 | + | 0.166403i | 0.598601 | − | 0.801047i | \(-0.295723\pi\) |
−0.253062 | + | 0.967450i | \(0.581438\pi\) | |||||||
\(224\) | −361.831 | − | 288.550i | −0.107928 | − | 0.0860696i | ||||
\(225\) | 424.356 | + | 1859.22i | 0.125735 | + | 0.550881i | ||||
\(226\) | 79.9419 | + | 350.249i | 0.0235295 | + | 0.103089i | ||||
\(227\) | 1861.39 | − | 3865.21i | 0.544249 | − | 1.13015i | −0.429615 | − | 0.903012i | \(-0.641351\pi\) |
0.973864 | − | 0.227133i | \(-0.0729352\pi\) | |||||||
\(228\) | −3901.38 | + | 890.465i | −1.13323 | + | 0.258651i | ||||
\(229\) | −551.662 | + | 1145.54i | −0.159191 | + | 0.330564i | −0.965274 | − | 0.261238i | \(-0.915869\pi\) |
0.806083 | + | 0.591803i | \(0.201583\pi\) | |||||||
\(230\) | −824.476 | −0.236367 | ||||||||
\(231\) | 88.2927 | − | 386.836i | 0.0251482 | − | 0.110181i | ||||
\(232\) | −2489.36 | − | 1985.20i | −0.704458 | − | 0.561787i | ||||
\(233\) | −3629.38 | −1.02047 | −0.510233 | − | 0.860036i | \(-0.670441\pi\) | ||||
−0.510233 | + | 0.860036i | \(0.670441\pi\) | |||||||
\(234\) | −132.082 | − | 165.626i | −0.0368995 | − | 0.0462706i | ||||
\(235\) | −3922.40 | + | 895.263i | −1.08881 | + | 0.248513i | ||||
\(236\) | −775.749 | − | 972.758i | −0.213970 | − | 0.268310i | ||||
\(237\) | 1959.28 | + | 8584.18i | 0.537000 | + | 2.35275i | ||||
\(238\) | −1482.69 | − | 714.024i | −0.403816 | − | 0.194468i | ||||
\(239\) | −231.922 | + | 1016.12i | −0.0627690 | + | 0.275009i | −0.996567 | − | 0.0827920i | \(-0.973616\pi\) |
0.933798 | + | 0.357801i | \(0.116473\pi\) | |||||||
\(240\) | 636.780 | + | 2789.91i | 0.171266 | + | 0.750367i | ||||
\(241\) | −2094.37 | + | 1670.20i | −0.559793 | + | 0.446420i | −0.862062 | − | 0.506803i | \(-0.830827\pi\) |
0.302269 | + | 0.953223i | \(0.402256\pi\) | |||||||
\(242\) | 4694.05 | − | 3743.38i | 1.24688 | − | 0.994353i | ||||
\(243\) | 1270.82 | + | 2638.89i | 0.335487 | + | 0.696646i | ||||
\(244\) | 4276.74 | + | 5362.87i | 1.12209 | + | 1.40706i | ||||
\(245\) | 2250.87 | − | 1795.01i | 0.586951 | − | 0.468078i | ||||
\(246\) | 2468.92 | + | 1188.97i | 0.639889 | + | 0.308154i | ||||
\(247\) | 23.4276 | + | 18.6829i | 0.00603506 | + | 0.00481280i | ||||
\(248\) | −6348.47 | + | 7960.73i | −1.62552 | + | 2.03833i | ||||
\(249\) | 10670.9 | + | 2435.56i | 2.71582 | + | 0.619869i | ||||
\(250\) | −6543.14 | + | 3151.01i | −1.65530 | + | 0.797149i | ||||
\(251\) | −4505.52 | − | 2169.74i | −1.13301 | − | 0.545630i | −0.229123 | − | 0.973397i | \(-0.573586\pi\) |
−0.903889 | + | 0.427768i | \(0.859300\pi\) | |||||||
\(252\) | 829.776 | − | 3635.48i | 0.207424 | − | 0.908786i | ||||
\(253\) | −69.9073 | − | 145.164i | −0.0173717 | − | 0.0360727i | ||||
\(254\) | −9011.61 | − | 2056.84i | −2.22614 | − | 0.508101i | ||||
\(255\) | −2180.97 | − | 4528.84i | −0.535599 | − | 1.11218i | ||||
\(256\) | 1574.09 | + | 6896.53i | 0.384299 | + | 1.68372i | ||||
\(257\) | −1579.40 | + | 6919.79i | −0.383346 | + | 1.67955i | 0.303566 | + | 0.952810i | \(0.401823\pi\) |
−0.686913 | + | 0.726740i | \(0.741034\pi\) | |||||||
\(258\) | −1495.61 | − | 6552.68i | −0.360901 | − | 1.58121i | ||||
\(259\) | 6.31217 | − | 3.03978i | 0.00151436 | − | 0.000729278i | ||||
\(260\) | 80.3819 | − | 100.796i | 0.0191734 | − | 0.0240426i | ||||
\(261\) | −1021.29 | + | 4474.55i | −0.242207 | + | 1.06118i | ||||
\(262\) | −845.720 | + | 407.277i | −0.199423 | + | 0.0960369i | ||||
\(263\) | 4275.73 | − | 975.908i | 1.00248 | − | 0.228810i | 0.310383 | − | 0.950612i | \(-0.399543\pi\) |
0.692100 | + | 0.721801i | \(0.256686\pi\) | |||||||
\(264\) | −1860.48 | + | 1483.69i | −0.433731 | + | 0.345889i | ||||
\(265\) | 4345.92i | 1.00743i | ||||||||
\(266\) | 812.841i | 0.187363i | ||||||||
\(267\) | −6998.11 | − | 3370.11i | −1.60403 | − | 0.772462i | ||||
\(268\) | 2082.92 | − | 4325.22i | 0.474755 | − | 0.985840i | ||||
\(269\) | 7678.85 | − | 1752.65i | 1.74047 | − | 0.397252i | 0.769921 | − | 0.638139i | \(-0.220295\pi\) |
0.970553 | + | 0.240887i | \(0.0774382\pi\) | |||||||
\(270\) | 5787.82 | − | 4615.64i | 1.30458 | − | 1.04037i | ||||
\(271\) | −3902.41 | − | 3112.07i | −0.874740 | − | 0.697582i | 0.0794322 | − | 0.996840i | \(-0.474689\pi\) |
−0.954172 | + | 0.299259i | \(0.903261\pi\) | |||||||
\(272\) | 1006.35 | + | 2089.71i | 0.224334 | + | 0.465835i | ||||
\(273\) | −39.7047 | + | 19.1208i | −0.00880234 | + | 0.00423899i | ||||
\(274\) | 7596.60i | 1.67492i | ||||||||
\(275\) | −273.259 | − | 217.917i | −0.0599205 | − | 0.0477850i | ||||
\(276\) | −1036.89 | − | 2153.13i | −0.226136 | − | 0.469576i | ||||
\(277\) | −2697.01 | − | 5600.41i | −0.585010 | − | 1.21479i | −0.957951 | − | 0.286931i | \(-0.907365\pi\) |
0.372941 | − | 0.927855i | \(-0.378349\pi\) | |||||||
\(278\) | 5754.08 | + | 7215.39i | 1.24139 | + | 1.55666i | ||||
\(279\) | 14309.2 | + | 3265.98i | 3.07049 | + | 0.700820i | ||||
\(280\) | 1605.03 | 0.342568 | ||||||||
\(281\) | 3731.98i | 0.792283i | 0.918190 | + | 0.396141i | \(0.129651\pi\) | ||||
−0.918190 | + | 0.396141i | \(0.870349\pi\) | |||||||
\(282\) | −11204.9 | − | 14050.5i | −2.36611 | − | 2.96701i | ||||
\(283\) | 918.249 | + | 1906.76i | 0.192877 | + | 0.400513i | 0.974870 | − | 0.222774i | \(-0.0715111\pi\) |
−0.781993 | + | 0.623287i | \(0.785797\pi\) | |||||||
\(284\) | − | 11963.8i | − | 2.49973i | ||||||
\(285\) | −1548.00 | + | 1941.14i | −0.321740 | + | 0.403449i | ||||
\(286\) | 37.8521 | + | 8.63950i | 0.00782602 | + | 0.00178624i | ||||
\(287\) | 225.200 | − | 282.392i | 0.0463176 | − | 0.0580804i | ||||
\(288\) | 3128.00 | − | 2494.50i | 0.639998 | − | 0.510381i | ||||
\(289\) | 523.034 | + | 655.864i | 0.106459 | + | 0.133496i | ||||
\(290\) | −4304.35 | −0.871587 | ||||||||
\(291\) | −1059.31 | − | 844.773i | −0.213395 | − | 0.170177i | ||||
\(292\) | 6585.87 | − | 13675.7i | 1.31989 | − | 2.74079i | ||||
\(293\) | 3898.76 | − | 4888.90i | 0.777366 | − | 0.974786i | −0.222634 | − | 0.974902i | \(-0.571465\pi\) |
1.00000 | 0.000115903i | \(3.68930e-5\pi\) | ||||||||
\(294\) | 11586.4 | + | 5579.70i | 2.29840 | + | 1.10685i | ||||
\(295\) | −752.594 | − | 171.775i | −0.148535 | − | 0.0339021i | ||||
\(296\) | −40.9638 | − | 9.34973i | −0.00804384 | − | 0.00183595i | ||||
\(297\) | 1303.42 | + | 627.692i | 0.254653 | + | 0.122634i | ||||
\(298\) | 3641.62 | − | 4566.45i | 0.707897 | − | 0.887675i | ||||
\(299\) | −7.76428 | + | 16.1227i | −0.00150174 | + | 0.00311839i | ||||
\(300\) | −4053.08 | − | 3232.22i | −0.780016 | − | 0.622042i | ||||
\(301\) | −885.907 | −0.169644 | ||||||||
\(302\) | 5302.05 | + | 6648.56i | 1.01026 | + | 1.26683i | ||||
\(303\) | −2147.25 | + | 1712.37i | −0.407116 | + | 0.324664i | ||||
\(304\) | 714.283 | − | 895.683i | 0.134760 | − | 0.168983i | ||||
\(305\) | 4149.09 | + | 947.003i | 0.778939 | + | 0.177788i | ||||
\(306\) | 8870.14 | − | 11122.8i | 1.65710 | − | 2.07794i | ||||
\(307\) | − | 7979.71i | − | 1.48347i | −0.670692 | − | 0.741736i | \(-0.734003\pi\) | ||
0.670692 | − | 0.741736i | \(-0.265997\pi\) | |||||||
\(308\) | 296.528 | + | 615.746i | 0.0548579 | + | 0.113914i | ||||
\(309\) | −4845.89 | − | 6076.56i | −0.892146 | − | 1.11872i | ||||
\(310\) | 13764.9i | 2.52192i | ||||||||
\(311\) | 5991.63 | 1.09246 | 0.546229 | − | 0.837636i | \(-0.316063\pi\) | ||||
0.546229 | + | 0.837636i | \(0.316063\pi\) | |||||||
\(312\) | 257.670 | + | 58.8115i | 0.0467554 | + | 0.0106716i | ||||
\(313\) | 4447.38 | + | 5576.84i | 0.803134 | + | 1.00710i | 0.999646 | + | 0.0265964i | \(0.00846690\pi\) |
−0.196513 | + | 0.980501i | \(0.562962\pi\) | |||||||
\(314\) | 2935.17 | + | 6094.95i | 0.527520 | + | 1.09541i | ||||
\(315\) | −1003.83 | − | 2084.47i | −0.179553 | − | 0.372847i | ||||
\(316\) | −11857.1 | − | 9455.70i | −2.11080 | − | 1.68331i | ||||
\(317\) | − | 7105.11i | − | 1.25887i | −0.777052 | − | 0.629436i | \(-0.783286\pi\) | ||
0.777052 | − | 0.629436i | \(-0.216714\pi\) | |||||||
\(318\) | −17490.0 | + | 8422.76i | −3.08425 | + | 1.48530i | ||||
\(319\) | −364.966 | − | 757.859i | −0.0640569 | − | 0.133016i | ||||
\(320\) | 5018.59 | + | 4002.20i | 0.876712 | + | 0.699155i | ||||
\(321\) | 472.100 | − | 376.487i | 0.0820874 | − | 0.0654625i | ||||
\(322\) | −473.252 | + | 108.017i | −0.0819046 | + | 0.0186942i | ||||
\(323\) | −873.118 | + | 1813.05i | −0.150407 | + | 0.312324i | ||||
\(324\) | 2537.98 | + | 1222.23i | 0.435182 | + | 0.209573i | ||||
\(325\) | 38.8186i | 0.00662544i | ||||||||
\(326\) | − | 6128.69i | − | 1.04122i | ||||||
\(327\) | −11066.8 | + | 8825.47i | −1.87154 | + | 1.49251i | ||||
\(328\) | −2111.89 | + | 482.025i | −0.355517 | + | 0.0811444i | ||||
\(329\) | −2134.18 | + | 1027.77i | −0.357633 | + | 0.172227i | ||||
\(330\) | −715.842 | + | 3136.31i | −0.119412 | + | 0.523176i | ||||
\(331\) | −270.677 | + | 339.418i | −0.0449479 | + | 0.0563629i | −0.803797 | − | 0.594903i | \(-0.797190\pi\) |
0.758849 | + | 0.651266i | \(0.225762\pi\) | |||||||
\(332\) | −16985.4 | + | 8179.73i | −2.80781 | + | 1.35217i | ||||
\(333\) | 13.4773 | + | 59.0477i | 0.00221787 | + | 0.00971710i | ||||
\(334\) | 529.504 | − | 2319.91i | 0.0867460 | − | 0.380059i | ||||
\(335\) | −662.775 | − | 2903.81i | −0.108093 | − | 0.473588i | ||||
\(336\) | 731.027 | + | 1517.99i | 0.118693 | + | 0.246468i | ||||
\(337\) | 4974.12 | + | 1135.31i | 0.804029 | + | 0.183514i | 0.604736 | − | 0.796426i | \(-0.293279\pi\) |
0.199292 | + | 0.979940i | \(0.436136\pi\) | |||||||
\(338\) | 4548.40 | + | 9444.85i | 0.731954 | + | 1.51992i | ||||
\(339\) | −143.765 | + | 629.876i | −0.0230332 | + | 0.100915i | ||||
\(340\) | 7800.54 | + | 3756.54i | 1.24425 | + | 0.599197i | ||||
\(341\) | −2423.56 | + | 1167.13i | −0.384877 | + | 0.185347i | ||||
\(342\) | −6850.77 | − | 1563.64i | −1.08318 | − | 0.247229i | ||||
\(343\) | 2211.92 | − | 2773.66i | 0.348199 | − | 0.436628i | ||||
\(344\) | 4153.94 | + | 3312.66i | 0.651063 | + | 0.519205i | ||||
\(345\) | −1335.88 | − | 643.324i | −0.208467 | − | 0.100393i | ||||
\(346\) | 5577.81 | − | 4448.16i | 0.866662 | − | 0.691140i | ||||
\(347\) | 2097.14 | + | 2629.73i | 0.324439 | + | 0.406834i | 0.917125 | − | 0.398600i | \(-0.130504\pi\) |
−0.592686 | + | 0.805434i | \(0.701932\pi\) | |||||||
\(348\) | −5413.31 | − | 11240.9i | −0.833862 | − | 1.73153i | ||||
\(349\) | 3764.83 | − | 3002.35i | 0.577440 | − | 0.460493i | −0.290699 | − | 0.956815i | \(-0.593888\pi\) |
0.868139 | + | 0.496321i | \(0.165316\pi\) | |||||||
\(350\) | −823.275 | + | 656.540i | −0.125731 | + | 0.100267i | ||||
\(351\) | −35.7539 | − | 156.648i | −0.00543704 | − | 0.0238212i | ||||
\(352\) | −163.165 | + | 714.872i | −0.0247066 | + | 0.108247i | ||||
\(353\) | 11761.5 | + | 5664.05i | 1.77338 | + | 0.854014i | 0.963632 | + | 0.267234i | \(0.0861098\pi\) |
0.809747 | + | 0.586780i | \(0.199605\pi\) | |||||||
\(354\) | −767.289 | − | 3361.71i | −0.115200 | − | 0.504726i | ||||
\(355\) | −4628.02 | − | 5803.36i | −0.691916 | − | 0.867635i | ||||
\(356\) | 13043.1 | − | 2977.01i | 1.94181 | − | 0.443205i | ||||
\(357\) | −1845.22 | − | 2313.83i | −0.273555 | − | 0.343028i | ||||
\(358\) | −3917.59 | −0.578355 | ||||||||
\(359\) | −3756.71 | − | 2995.88i | −0.552289 | − | 0.440436i | 0.307159 | − | 0.951658i | \(-0.400621\pi\) |
−0.859449 | + | 0.511222i | \(0.829193\pi\) | |||||||
\(360\) | −3087.57 | + | 13527.5i | −0.452025 | + | 1.98045i | ||||
\(361\) | −5865.05 | −0.855088 | ||||||||
\(362\) | 2380.75 | − | 4943.68i | 0.345661 | − | 0.717773i | ||||
\(363\) | 10526.5 | − | 2402.61i | 1.52204 | − | 0.347395i | ||||
\(364\) | 32.9340 | − | 68.3881i | 0.00474233 | − | 0.00984755i | ||||
\(365\) | −2095.59 | − | 9181.40i | −0.300516 | − | 1.31665i | ||||
\(366\) | 4230.10 | + | 18533.3i | 0.604128 | + | 2.64686i | ||||
\(367\) | 870.484 | + | 694.187i | 0.123812 | + | 0.0987365i | 0.683438 | − | 0.730009i | \(-0.260484\pi\) |
−0.559626 | + | 0.828745i | \(0.689055\pi\) | |||||||
\(368\) | 616.403 | + | 296.844i | 0.0873159 | + | 0.0420491i | ||||
\(369\) | 1946.84 | + | 2441.26i | 0.274657 | + | 0.344409i | ||||
\(370\) | −51.1766 | + | 24.6454i | −0.00719066 | + | 0.00346284i | ||||
\(371\) | 569.369 | + | 2494.57i | 0.0796770 | + | 0.349088i | ||||
\(372\) | −35947.2 | + | 17311.3i | −5.01015 | + | 2.41276i | ||||
\(373\) | 2243.27 | − | 4658.20i | 0.311400 | − | 0.646628i | −0.685260 | − | 0.728299i | \(-0.740311\pi\) |
0.996659 | + | 0.0816708i | \(0.0260256\pi\) | |||||||
\(374\) | 2607.37i | 0.360492i | ||||||||
\(375\) | −13060.4 | −1.79849 | ||||||||
\(376\) | 13850.1 | + | 3161.20i | 1.89964 | + | 0.433580i | ||||
\(377\) | −40.5350 | + | 84.1719i | −0.00553756 | + | 0.0114989i | ||||
\(378\) | 2717.52 | − | 3407.67i | 0.369773 | − | 0.463681i | ||||
\(379\) | 3480.13 | − | 4363.94i | 0.471668 | − | 0.591452i | −0.487911 | − | 0.872893i | \(-0.662241\pi\) |
0.959579 | + | 0.281441i | \(0.0908124\pi\) | |||||||
\(380\) | − | 4276.42i | − | 0.577305i | ||||||
\(381\) | −12996.4 | − | 10364.2i | −1.74757 | − | 1.39364i | ||||
\(382\) | −4401.45 | + | 1004.60i | −0.589524 | + | 0.134555i | ||||
\(383\) | 13455.7 | − | 3071.18i | 1.79518 | − | 0.409738i | 0.810733 | − | 0.585416i | \(-0.199069\pi\) |
0.984448 | + | 0.175678i | \(0.0562118\pi\) | |||||||
\(384\) | −5070.86 | + | 22216.9i | −0.673883 | + | 2.95248i | ||||
\(385\) | 382.031 | + | 183.976i | 0.0505717 | + | 0.0243540i | ||||
\(386\) | −13890.1 | + | 11077.0i | −1.83157 | + | 1.46063i | ||||
\(387\) | 1704.20 | − | 7466.59i | 0.223849 | − | 0.980744i | ||||
\(388\) | 2333.72 | 0.305352 | ||||||||
\(389\) | 2776.82 | − | 5766.12i | 0.361929 | − | 0.751553i | −0.637899 | − | 0.770120i | \(-0.720196\pi\) |
0.999828 | + | 0.0185673i | \(0.00591049\pi\) | |||||||
\(390\) | 321.910 | − | 155.024i | 0.0417963 | − | 0.0201280i | ||||
\(391\) | −1171.62 | − | 267.414i | −0.151538 | − | 0.0345875i | ||||
\(392\) | −9910.85 | + | 2262.09i | −1.27697 | + | 0.291461i | ||||
\(393\) | −1688.09 | −0.216674 | ||||||||
\(394\) | −12515.8 | + | 4190.70i | −1.60035 | + | 0.535849i | ||||
\(395\) | −9409.37 | −1.19857 | ||||||||
\(396\) | −5760.05 | + | 1314.69i | −0.730942 | + | 0.166833i | ||||
\(397\) | −14189.4 | − | 3238.65i | −1.79382 | − | 0.409428i | −0.809689 | − | 0.586859i | \(-0.800364\pi\) |
−0.984133 | + | 0.177431i | \(0.943222\pi\) | |||||||
\(398\) | 9335.40 | − | 4495.69i | 1.17573 | − | 0.566203i | ||||
\(399\) | −634.246 | + | 1317.03i | −0.0795790 | + | 0.165247i | ||||
\(400\) | 1484.11 | 0.185514 | ||||||||
\(401\) | 3422.32 | − | 14994.2i | 0.426191 | − | 1.86726i | −0.0676484 | − | 0.997709i | \(-0.521550\pi\) |
0.493839 | − | 0.869553i | \(-0.335593\pi\) | |||||||
\(402\) | 10401.8 | − | 8295.15i | 1.29053 | − | 1.02917i | ||||
\(403\) | 269.174 | + | 129.627i | 0.0332717 | + | 0.0160228i | ||||
\(404\) | 1052.63 | − | 4611.89i | 0.129630 | − | 0.567946i | ||||
\(405\) | 1703.91 | − | 388.907i | 0.209057 | − | 0.0477159i | ||||
\(406\) | −2470.71 | + | 563.923i | −0.302018 | + | 0.0689336i | ||||
\(407\) | −8.67853 | − | 6.92089i | −0.00105695 | − | 0.000842889i | ||||
\(408\) | 17749.1i | 2.15371i | ||||||||
\(409\) | 2419.66 | − | 3034.16i | 0.292530 | − | 0.366821i | −0.613749 | − | 0.789501i | \(-0.710339\pi\) |
0.906279 | + | 0.422680i | \(0.138911\pi\) | |||||||
\(410\) | −1825.83 | + | 2289.52i | −0.219931 | + | 0.275784i | ||||
\(411\) | −5927.49 | + | 12308.6i | −0.711391 | + | 1.47722i | ||||
\(412\) | 13051.3 | + | 2978.88i | 1.56066 | + | 0.356211i | ||||
\(413\) | −454.496 | −0.0541508 | ||||||||
\(414\) | − | 4196.44i | − | 0.498173i | ||||||
\(415\) | −5075.00 | + | 10538.3i | −0.600293 | + | 1.24652i | ||||
\(416\) | 73.3744 | − | 35.3352i | 0.00864778 | − | 0.00416455i | ||||
\(417\) | 3693.14 | + | 16180.7i | 0.433702 | + | 1.90017i | ||||
\(418\) | 1160.32 | − | 558.782i | 0.135773 | − | 0.0653850i | ||||
\(419\) | 8860.34 | + | 11110.5i | 1.03307 | + | 1.29543i | 0.954401 | + | 0.298526i | \(0.0964950\pi\) |
0.0786673 | + | 0.996901i | \(0.474934\pi\) | |||||||
\(420\) | 5666.43 | + | 2728.81i | 0.658317 | + | 0.317029i | ||||
\(421\) | 9220.14 | + | 7352.81i | 1.06737 | + | 0.851198i | 0.989321 | − | 0.145752i | \(-0.0465602\pi\) |
0.0780468 | + | 0.996950i | \(0.475132\pi\) | |||||||
\(422\) | −3494.76 | − | 15311.5i | −0.403133 | − | 1.76624i | ||||
\(423\) | −4556.73 | − | 19964.4i | −0.523773 | − | 2.29480i | ||||
\(424\) | 6658.18 | − | 13825.9i | 0.762617 | − | 1.58359i | ||||
\(425\) | −2541.55 | + | 580.092i | −0.290078 | + | 0.0662084i | ||||
\(426\) | 14386.0 | − | 29872.8i | 1.63616 | − | 3.39751i | ||||
\(427\) | 2505.66 | 0.283975 | ||||||||
\(428\) | −231.435 | + | 1013.98i | −0.0261375 | + | 0.114516i | ||||
\(429\) | 54.5895 | + | 43.5337i | 0.00614361 | + | 0.00489936i | ||||
\(430\) | 7182.59 | 0.805523 | ||||||||
\(431\) | −666.526 | − | 835.797i | −0.0744905 | − | 0.0934081i | 0.743190 | − | 0.669080i | \(-0.233312\pi\) |
−0.817681 | + | 0.575672i | \(0.804740\pi\) | |||||||
\(432\) | −5988.97 | + | 1366.94i | −0.667001 | + | 0.152239i | ||||
\(433\) | 2706.37 | + | 3393.69i | 0.300370 | + | 0.376652i | 0.908996 | − | 0.416806i | \(-0.136850\pi\) |
−0.608626 | + | 0.793457i | \(0.708279\pi\) | |||||||
\(434\) | 1803.37 | + | 7901.09i | 0.199458 | + | 0.873882i | ||||
\(435\) | −6974.22 | − | 3358.61i | −0.768709 | − | 0.370191i | ||||
\(436\) | 5425.22 | − | 23769.5i | 0.595920 | − | 2.61090i | ||||
\(437\) | 132.084 | + | 578.698i | 0.0144587 | + | 0.0633476i | ||||
\(438\) | 32888.9 | − | 26228.0i | 3.58788 | − | 2.86124i | ||||
\(439\) | 6241.07 | − | 4977.09i | 0.678520 | − | 0.541101i | −0.222471 | − | 0.974939i | \(-0.571412\pi\) |
0.900991 | + | 0.433838i | \(0.142841\pi\) | |||||||
\(440\) | −1103.37 | − | 2291.17i | −0.119548 | − | 0.248244i | ||||
\(441\) | 9136.30 | + | 11456.6i | 0.986535 | + | 1.23708i | ||||
\(442\) | 226.410 | − | 180.556i | 0.0243647 | − | 0.0194302i | ||||
\(443\) | 3077.69 | + | 1482.14i | 0.330081 | + | 0.158958i | 0.591582 | − | 0.806245i | \(-0.298503\pi\) |
−0.261502 | + | 0.965203i | \(0.584218\pi\) | |||||||
\(444\) | −128.723 | − | 102.653i | −0.0137589 | − | 0.0109723i | ||||
\(445\) | 5175.29 | − | 6489.61i | 0.551308 | − | 0.691319i | ||||
\(446\) | −5943.63 | − | 1356.59i | −0.631029 | − | 0.144028i | ||||
\(447\) | 9463.54 | − | 4557.40i | 1.00137 | − | 0.482232i | ||||
\(448\) | 3405.02 | + | 1639.77i | 0.359090 | + | 0.172929i | ||||
\(449\) | 2213.88 | − | 9699.64i | 0.232694 | − | 1.01950i | −0.714701 | − | 0.699430i | \(-0.753437\pi\) |
0.947395 | − | 0.320068i | \(-0.103706\pi\) | |||||||
\(450\) | −3949.72 | − | 8201.68i | −0.413759 | − | 0.859180i | ||||
\(451\) | −557.925 | − | 127.343i | −0.0582520 | − | 0.0132956i | ||||
\(452\) | −482.830 | − | 1002.61i | −0.0502442 | − | 0.104333i | ||||
\(453\) | 3403.02 | + | 14909.6i | 0.352953 | + | 1.54639i | ||||
\(454\) | −4556.89 | + | 19965.0i | −0.471069 | + | 2.06389i | ||||
\(455\) | −10.4794 | − | 45.9134i | −0.00107974 | − | 0.00473067i | ||||
\(456\) | 7898.65 | − | 3803.79i | 0.811159 | − | 0.390633i | ||||
\(457\) | −6284.17 | + | 7880.10i | −0.643241 | + | 0.806599i | −0.991404 | − | 0.130835i | \(-0.958234\pi\) |
0.348163 | + | 0.937434i | \(0.386806\pi\) | |||||||
\(458\) | 1350.53 | − | 5917.06i | 0.137786 | − | 0.603681i | ||||
\(459\) | 9721.82 | − | 4681.78i | 0.988618 | − | 0.476093i | ||||
\(460\) | 2489.82 | − | 568.284i | 0.252366 | − | 0.0576008i | ||||
\(461\) | −14884.6 | + | 11870.1i | −1.50379 | + | 1.19923i | −0.581008 | + | 0.813898i | \(0.697342\pi\) |
−0.922778 | + | 0.385332i | \(0.874087\pi\) | |||||||
\(462\) | 1894.03i | 0.190733i | ||||||||
\(463\) | 13883.4i | 1.39355i | 0.717288 | + | 0.696776i | \(0.245383\pi\) | ||||
−0.717288 | + | 0.696776i | \(0.754617\pi\) | |||||||
\(464\) | 3218.06 | + | 1549.74i | 0.321972 | + | 0.155053i | ||||
\(465\) | −10740.5 | + | 22302.9i | −1.07114 | + | 2.22424i | ||||
\(466\) | 16890.4 | − | 3855.12i | 1.67904 | − | 0.383229i | ||||
\(467\) | 6126.48 | − | 4885.70i | 0.607066 | − | 0.484119i | −0.271051 | − | 0.962565i | \(-0.587371\pi\) |
0.878117 | + | 0.478446i | \(0.158800\pi\) | |||||||
\(468\) | 513.033 | + | 409.130i | 0.0506730 | + | 0.0404104i | ||||
\(469\) | −760.870 | − | 1579.96i | −0.0749119 | − | 0.155556i | ||||
\(470\) | 17303.1 | − | 8332.73i | 1.69815 | − | 0.817787i | ||||
\(471\) | 12165.7i | 1.19017i | ||||||||
\(472\) | 2131.09 | + | 1699.49i | 0.207821 | + | 0.165732i | ||||
\(473\) | 609.011 | + | 1264.62i | 0.0592016 | + | 0.122933i | ||||
\(474\) | −18236.2 | − | 37867.8i | −1.76712 | − | 3.66946i | ||||
\(475\) | 802.825 | + | 1006.71i | 0.0775498 | + | 0.0972444i | ||||
\(476\) | 4969.68 | + | 1134.30i | 0.478540 | + | 0.109224i | ||||
\(477\) | −22120.0 | −2.12328 | ||||||||
\(478\) | − | 4975.14i | − | 0.476062i | ||||||
\(479\) | −707.519 | − | 887.200i | −0.0674893 | − | 0.0846288i | 0.746941 | − | 0.664890i | \(-0.231522\pi\) |
−0.814430 | + | 0.580262i | \(0.802950\pi\) | |||||||
\(480\) | 2927.77 | + | 6079.58i | 0.278404 | + | 0.578111i | ||||
\(481\) | 1.23285i | 0.000116868i | ||||||||
\(482\) | 7972.65 | − | 9997.39i | 0.753412 | − | 0.944748i | ||||
\(483\) | −851.081 | − | 194.254i | −0.0801770 | − | 0.0182999i | ||||
\(484\) | −11595.3 | + | 14540.0i | −1.08896 | + | 1.36551i | ||||
\(485\) | 1132.03 | − | 902.764i | 0.105985 | − | 0.0845205i | ||||
\(486\) | −8717.16 | − | 10931.0i | −0.813618 | − | 1.02025i | ||||
\(487\) | 7390.73 | 0.687692 | 0.343846 | − | 0.939026i | \(-0.388270\pi\) | ||||
0.343846 | + | 0.939026i | \(0.388270\pi\) | |||||||
\(488\) | −11748.8 | − | 9369.37i | −1.08984 | − | 0.869122i | ||||
\(489\) | 4782.11 | − | 9930.16i | 0.442238 | − | 0.918317i | ||||
\(490\) | −8568.43 | + | 10744.5i | −0.789964 | + | 0.990583i | ||||
\(491\) | −3462.18 | − | 1667.30i | −0.318220 | − | 0.153247i | 0.267954 | − | 0.963432i | \(-0.413652\pi\) |
−0.586174 | + | 0.810185i | \(0.699367\pi\) | |||||||
\(492\) | −8275.35 | − | 1888.80i | −0.758296 | − | 0.173076i | ||||
\(493\) | −6116.68 | − | 1396.09i | −0.558786 | − | 0.127539i | ||||
\(494\) | −128.872 | − | 62.0614i | −0.0117373 | − | 0.00565237i | ||||
\(495\) | −2285.49 | + | 2865.91i | −0.207526 | + | 0.260229i | ||||
\(496\) | 4955.91 | − | 10291.1i | 0.448643 | − | 0.931617i | ||||
\(497\) | −3416.81 | − | 2724.82i | −0.308380 | − | 0.245925i | ||||
\(498\) | −52247.1 | −4.70130 | ||||||||
\(499\) | −4803.69 | − | 6023.63i | −0.430947 | − | 0.540391i | 0.518185 | − | 0.855268i | \(-0.326608\pi\) |
−0.949132 | + | 0.314878i | \(0.898036\pi\) | |||||||
\(500\) | 17587.6 | − | 14025.6i | 1.57308 | − | 1.25449i | ||||
\(501\) | 2668.13 | − | 3345.72i | 0.237930 | − | 0.298355i | ||||
\(502\) | 23272.4 | + | 5311.78i | 2.06912 | + | 0.472264i | ||||
\(503\) | 301.187 | − | 377.676i | 0.0266983 | − | 0.0334786i | −0.768303 | − | 0.640086i | \(-0.778899\pi\) |
0.795001 | + | 0.606608i | \(0.207470\pi\) | |||||||
\(504\) | 8169.34i | 0.722007i | ||||||||
\(505\) | −1273.44 | − | 2644.32i | −0.112212 | − | 0.233011i | ||||
\(506\) | 479.526 | + | 601.307i | 0.0421295 | + | 0.0528288i | ||||
\(507\) | 18852.3i | 1.65140i | ||||||||
\(508\) | 28631.7 | 2.50064 | ||||||||
\(509\) | −5812.69 | − | 1326.71i | −0.506175 | − | 0.115531i | −0.0381951 | − | 0.999270i | \(-0.512161\pi\) |
−0.467980 | + | 0.883739i | \(0.655018\pi\) | |||||||
\(510\) | 14960.3 | + | 18759.6i | 1.29893 | + | 1.62880i | ||||
\(511\) | −2405.75 | − | 4995.60i | −0.208267 | − | 0.432470i | ||||
\(512\) | −5436.67 | − | 11289.4i | −0.469275 | − | 0.974461i | ||||
\(513\) | −4166.94 | − | 3323.02i | −0.358625 | − | 0.285994i | ||||
\(514\) | − | 33880.8i | − | 2.90743i | ||||||
\(515\) | 7483.22 | − | 3603.73i | 0.640292 | − | 0.308348i | ||||
\(516\) | 9033.09 | + | 18757.4i | 0.770658 | + | 1.60029i | ||||
\(517\) | 2934.26 | + | 2339.99i | 0.249610 | + | 0.199057i | ||||
\(518\) | −26.1467 | + | 20.8513i | −0.00221780 | + | 0.00176863i | ||||
\(519\) | 12508.4 | − | 2854.96i | 1.05792 | − | 0.241462i | ||||
\(520\) | −122.546 | + | 254.470i | −0.0103346 | + | 0.0214601i | ||||
\(521\) | 9514.64 | + | 4582.01i | 0.800084 | + | 0.385300i | 0.788811 | − | 0.614636i | \(-0.210697\pi\) |
0.0112734 | + | 0.999936i | \(0.496412\pi\) | |||||||
\(522\) | − | 21908.4i | − | 1.83698i | ||||||
\(523\) | 12139.9i | 1.01499i | 0.861653 | + | 0.507497i | \(0.169429\pi\) | ||||
−0.861653 | + | 0.507497i | \(0.830571\pi\) | |||||||
\(524\) | 2273.25 | − | 1812.85i | 0.189518 | − | 0.151135i | ||||
\(525\) | −1846.22 | + | 421.387i | −0.153477 | + | 0.0350302i | ||||
\(526\) | −18861.7 | + | 9083.34i | −1.56352 | + | 0.752951i | ||||
\(527\) | −4464.57 | + | 19560.6i | −0.369032 | + | 1.61683i | ||||
\(528\) | 1664.38 | − | 2087.07i | 0.137184 | − | 0.172023i | ||||
\(529\) | 10642.7 | − | 5125.26i | 0.874719 | − | 0.421243i | ||||
\(530\) | −4616.22 | − | 20225.0i | −0.378332 | − | 1.65758i | ||||
\(531\) | 874.304 | − | 3830.57i | 0.0714530 | − | 0.313056i | ||||
\(532\) | −560.265 | − | 2454.68i | −0.0456589 | − | 0.200045i | ||||
\(533\) | 27.5775 | + | 57.2653i | 0.00224112 | + | 0.00465373i | ||||
\(534\) | 36147.4 | + | 8250.41i | 2.92931 | + | 0.668596i | ||||
\(535\) | 279.981 | + | 581.387i | 0.0226255 | + | 0.0469823i | ||||
\(536\) | −2340.27 | + | 10253.4i | −0.188590 | + | 0.826269i | ||||
\(537\) | −6347.56 | − | 3056.83i | −0.510089 | − | 0.245646i | ||||
\(538\) | −33874.1 | + | 16312.9i | −2.71453 | + | 1.30725i | ||||
\(539\) | −2618.28 | − | 597.605i | −0.209234 | − | 0.0477563i | ||||
\(540\) | −14297.1 | + | 17928.0i | −1.13935 | + | 1.42870i | ||||
\(541\) | −12893.7 | − | 10282.4i | −1.02466 | − | 0.817143i | −0.0413662 | − | 0.999144i | \(-0.513171\pi\) |
−0.983298 | + | 0.182001i | \(0.941742\pi\) | |||||||
\(542\) | 21466.6 | + | 10337.8i | 1.70124 | + | 0.819272i | ||||
\(543\) | 7714.93 | − | 6152.45i | 0.609722 | − | 0.486237i | ||||
\(544\) | 3409.96 | + | 4275.96i | 0.268752 | + | 0.337004i | ||||
\(545\) | −6563.22 | − | 13628.7i | −0.515848 | − | 1.07117i | ||||
\(546\) | 164.467 | − | 131.158i | 0.0128911 | − | 0.0102803i | ||||
\(547\) | 6860.98 | − | 5471.45i | 0.536297 | − | 0.427682i | −0.317524 | − | 0.948250i | \(-0.602851\pi\) |
0.853820 | + | 0.520568i | \(0.174280\pi\) | |||||||
\(548\) | −5236.08 | − | 22940.8i | −0.408165 | − | 1.78829i | ||||
\(549\) | −4820.08 | + | 21118.2i | −0.374710 | + | 1.64171i | ||||
\(550\) | 1503.16 | + | 723.884i | 0.116536 | + | 0.0561209i | ||||
\(551\) | 689.572 | + | 3021.21i | 0.0533154 | + | 0.233590i | ||||
\(552\) | 3264.27 | + | 4093.27i | 0.251697 | + | 0.315618i | ||||
\(553\) | −5401.01 | + | 1232.74i | −0.415324 | + | 0.0947950i | ||||
\(554\) | 18500.1 | + | 23198.3i | 1.41876 | + | 1.77907i | ||||
\(555\) | −102.150 | −0.00781269 | ||||||||
\(556\) | −22349.9 | − | 17823.5i | −1.70476 | − | 1.35950i | ||||
\(557\) | −1537.82 | + | 6737.63i | −0.116983 | + | 0.512536i | 0.882152 | + | 0.470964i | \(0.156094\pi\) |
−0.999136 | + | 0.0415722i | \(0.986763\pi\) | |||||||
\(558\) | −70061.0 | −5.31526 | ||||||||
\(559\) | 67.6401 | − | 140.456i | 0.00511784 | − | 0.0106273i | ||||
\(560\) | −1755.36 | + | 400.650i | −0.132460 | + | 0.0302331i | ||||
\(561\) | −2034.49 | + | 4224.66i | −0.153113 | + | 0.317942i | ||||
\(562\) | −3964.10 | − | 17367.9i | −0.297536 | − | 1.30359i | ||||
\(563\) | 2948.37 | + | 12917.6i | 0.220708 | + | 0.966986i | 0.956947 | + | 0.290264i | \(0.0937431\pi\) |
−0.736238 | + | 0.676722i | \(0.763400\pi\) | |||||||
\(564\) | 43522.0 | + | 34707.7i | 3.24930 | + | 2.59123i | ||||
\(565\) | −622.052 | − | 299.565i | −0.0463185 | − | 0.0223058i | ||||
\(566\) | −6298.69 | − | 7898.31i | −0.467763 | − | 0.586556i | ||||
\(567\) | 927.100 | − | 446.468i | 0.0686676 | − | 0.0330686i | ||||
\(568\) | 5832.27 | + | 25552.9i | 0.430839 | + | 1.88763i | ||||
\(569\) | −4234.65 | + | 2039.30i | −0.311996 | + | 0.150250i | −0.583329 | − | 0.812236i | \(-0.698250\pi\) |
0.271332 | + | 0.962486i | \(0.412536\pi\) | |||||||
\(570\) | 5142.21 | − | 10677.9i | 0.377866 | − | 0.784647i | ||||
\(571\) | 1866.52i | 0.136797i | 0.997658 | + | 0.0683987i | \(0.0217890\pi\) | ||||
−0.997658 | + | 0.0683987i | \(0.978211\pi\) | |||||||
\(572\) | −120.264 | −0.00879104 | ||||||||
\(573\) | −7915.44 | − | 1806.65i | −0.577089 | − | 0.131717i | ||||
\(574\) | −748.078 | + | 1553.40i | −0.0543975 | + | 0.112958i | ||||
\(575\) | −479.441 | + | 601.200i | −0.0347723 | + | 0.0436031i | ||||
\(576\) | −20370.5 | + | 25543.8i | −1.47356 | + | 1.84778i | ||||
\(577\) | 16964.9i | 1.22402i | 0.790850 | + | 0.612010i | \(0.209639\pi\) | ||||
−0.790850 | + | 0.612010i | \(0.790361\pi\) | |||||||
\(578\) | −3130.74 | − | 2496.69i | −0.225297 | − | 0.179669i | ||||
\(579\) | −31148.9 | + | 7109.54i | −2.23576 | + | 0.510298i | ||||
\(580\) | 12998.6 | − | 2966.85i | 0.930582 | − | 0.212399i | ||||
\(581\) | −1532.41 | + | 6713.92i | −0.109423 | + | 0.479416i | ||||
\(582\) | 5827.12 | + | 2806.20i | 0.415021 | + | 0.199863i | ||||
\(583\) | 3169.57 | − | 2527.65i | 0.225163 | − | 0.179562i | ||||
\(584\) | −7399.59 | + | 32419.7i | −0.524311 | + | 2.29715i | ||||
\(585\) | 407.126 | 0.0287736 | ||||||||
\(586\) | −12951.1 | + | 26893.1i | −0.912974 | + | 1.89581i | ||||
\(587\) | 5259.28 | − | 2532.74i | 0.369802 | − | 0.178087i | −0.239747 | − | 0.970835i | \(-0.577065\pi\) |
0.609549 | + | 0.792748i | \(0.291350\pi\) | |||||||
\(588\) | −38835.3 | − | 8863.90i | −2.72371 | − | 0.621668i | ||||
\(589\) | 9661.56 | − | 2205.19i | 0.675887 | − | 0.154267i | ||||
\(590\) | 3684.87 | 0.257125 | ||||||||
\(591\) | −23549.0 | − | 2975.78i | −1.63904 | − | 0.207119i | ||||
\(592\) | 47.1345 | 0.00327232 | ||||||||
\(593\) | −15122.7 | + | 3451.65i | −1.04724 | + | 0.239026i | −0.711323 | − | 0.702865i | \(-0.751904\pi\) |
−0.335918 | + | 0.941891i | \(0.609046\pi\) | |||||||
\(594\) | −6732.55 | − | 1536.66i | −0.465051 | − | 0.106145i | ||||
\(595\) | 2849.46 | − | 1372.23i | 0.196330 | − | 0.0945477i | ||||
\(596\) | −7849.74 | + | 16300.2i | −0.539493 | + | 1.12027i | ||||
\(597\) | 18633.8 | 1.27744 | ||||||||
\(598\) | 19.0078 | − | 83.2788i | 0.00129981 | − | 0.00569485i | ||||
\(599\) | 11441.3 | − | 9124.16i | 0.780434 | − | 0.622376i | −0.150062 | − | 0.988677i | \(-0.547947\pi\) |
0.930496 | + | 0.366301i | \(0.119376\pi\) | |||||||
\(600\) | 10232.4 | + | 4927.68i | 0.696229 | + | 0.335286i | ||||
\(601\) | −3773.75 | + | 16533.9i | −0.256131 | + | 1.12218i | 0.669219 | + | 0.743066i | \(0.266629\pi\) |
−0.925349 | + | 0.379116i | \(0.876228\pi\) | |||||||
\(602\) | 4122.82 | − | 941.008i | 0.279126 | − | 0.0637087i | ||||
\(603\) | 14779.9 | − | 3373.41i | 0.998148 | − | 0.227821i | ||||
\(604\) | −20594.2 | − | 16423.3i | −1.38736 | − | 1.10638i | ||||
\(605\) | 11538.5i | 0.775380i | ||||||||
\(606\) | 8173.95 | − | 10249.8i | 0.547928 | − | 0.687080i | ||||
\(607\) | −15400.7 | + | 19311.9i | −1.02981 | + | 1.29134i | −0.0740319 | + | 0.997256i | \(0.523587\pi\) |
−0.955779 | + | 0.294086i | \(0.904985\pi\) | |||||||
\(608\) | 1172.09 | − | 2433.86i | 0.0781816 | − | 0.162346i | ||||
\(609\) | −4443.24 | − | 1014.14i | −0.295648 | − | 0.0674796i | ||||
\(610\) | −20314.9 | −1.34840 | ||||||||
\(611\) | − | 416.835i | − | 0.0275995i | ||||||
\(612\) | −19120.1 | + | 39703.4i | −1.26289 | + | 2.62241i | ||||
\(613\) | 817.780 | − | 393.822i | 0.0538822 | − | 0.0259483i | −0.406749 | − | 0.913540i | \(-0.633337\pi\) |
0.460631 | + | 0.887592i | \(0.347623\pi\) | |||||||
\(614\) | 8476.02 | + | 37135.9i | 0.557108 | + | 2.44085i | ||||
\(615\) | −4744.83 | + | 2284.99i | −0.311105 | + | 0.149820i | ||||
\(616\) | −933.509 | − | 1170.58i | −0.0610587 | − | 0.0765652i | ||||
\(617\) | 11593.8 | + | 5583.30i | 0.756483 | + | 0.364303i | 0.772038 | − | 0.635576i | \(-0.219237\pi\) |
−0.0155552 | + | 0.999879i | \(0.504952\pi\) | |||||||
\(618\) | 29006.2 | + | 23131.7i | 1.88803 | + | 1.50565i | ||||
\(619\) | 5057.74 | + | 22159.4i | 0.328413 | + | 1.43887i | 0.822155 | + | 0.569264i | \(0.192772\pi\) |
−0.493741 | + | 0.869609i | \(0.664371\pi\) | |||||||
\(620\) | −9487.69 | − | 41568.3i | −0.614572 | − | 2.69262i | ||||
\(621\) | 1380.99 | − | 2867.66i | 0.0892388 | − | 0.185306i | ||||
\(622\) | −27883.8 | + | 6364.29i | −1.79749 | + | 0.410265i | ||||
\(623\) | 2120.41 | − | 4403.08i | 0.136360 | − | 0.283155i | ||||
\(624\) | −296.485 | −0.0190206 | ||||||||
\(625\) | 1969.68 | − | 8629.72i | 0.126059 | − | 0.552302i | ||||
\(626\) | −26620.9 | − | 21229.4i | −1.69965 | − | 1.35543i | ||||
\(627\) | 2316.05 | 0.147519 | ||||||||
\(628\) | −13064.9 | − | 16382.9i | −0.830169 | − | 1.04100i | ||||
\(629\) | −80.7179 | + | 18.4233i | −0.00511674 | + | 0.00116786i | ||||
\(630\) | 6885.73 | + | 8634.43i | 0.435451 | + | 0.546038i | ||||
\(631\) | −2558.78 | − | 11210.7i | −0.161432 | − | 0.707278i | −0.989244 | − | 0.146273i | \(-0.953272\pi\) |
0.827813 | − | 0.561005i | \(-0.189585\pi\) | |||||||
\(632\) | 29934.4 | + | 14415.7i | 1.88406 | + | 0.907317i | ||||
\(633\) | 6284.86 | − | 27535.8i | 0.394630 | − | 1.72899i | ||||
\(634\) | 7547.02 | + | 33065.7i | 0.472761 | + | 2.07130i | ||||
\(635\) | 13888.5 | − | 11075.7i | 0.867952 | − | 0.692168i | ||||
\(636\) | 47012.2 | − | 37491.0i | 2.93106 | − | 2.33744i | ||||
\(637\) | 129.418 | + | 268.740i | 0.00804982 | + | 0.0167156i | ||||
\(638\) | 2503.47 | + | 3139.25i | 0.155350 | + | 0.194803i | ||||
\(639\) | 29538.1 | − | 23555.8i | 1.82865 | − | 1.45830i | ||||
\(640\) | −21940.9 | − | 10566.2i | −1.35514 | − | 0.652602i | ||||
\(641\) | −8296.17 | − | 6615.98i | −0.511200 | − | 0.407668i | 0.333629 | − | 0.942704i | \(-0.391727\pi\) |
−0.844829 | + | 0.535036i | \(0.820298\pi\) | |||||||
\(642\) | −1797.15 | + | 2253.55i | −0.110480 | + | 0.138537i | ||||
\(643\) | −23282.6 | − | 5314.11i | −1.42796 | − | 0.325922i | −0.562456 | − | 0.826827i | \(-0.690144\pi\) |
−0.865502 | + | 0.500905i | \(0.833001\pi\) | |||||||
\(644\) | 1354.71 | − | 652.393i | 0.0828929 | − | 0.0399191i | ||||
\(645\) | 11637.8 | + | 5604.45i | 0.710444 | + | 0.342132i | ||||
\(646\) | 2137.49 | − | 9364.97i | 0.130183 | − | 0.570371i | ||||
\(647\) | −8023.70 | − | 16661.4i | −0.487549 | − | 1.01241i | −0.989096 | − | 0.147275i | \(-0.952950\pi\) |
0.501547 | − | 0.865130i | \(-0.332764\pi\) | |||||||
\(648\) | −6016.56 | − | 1373.24i | −0.364742 | − | 0.0832500i | ||||
\(649\) | 312.440 | + | 648.789i | 0.0188973 | + | 0.0392407i | ||||
\(650\) | −41.2330 | − | 180.654i | −0.00248814 | − | 0.0109013i | ||||
\(651\) | −3243.13 | + | 14209.1i | −0.195251 | + | 0.855449i | ||||
\(652\) | 4224.30 | + | 18507.9i | 0.253737 | + | 1.11169i | ||||
\(653\) | 10847.3 | − | 5223.77i | 0.650056 | − | 0.313050i | −0.0796386 | − | 0.996824i | \(-0.525377\pi\) |
0.729694 | + | 0.683773i | \(0.239662\pi\) | |||||||
\(654\) | 42128.1 | − | 52827.0i | 2.51887 | − | 3.15856i | ||||
\(655\) | 401.422 | − | 1758.74i | 0.0239463 | − | 0.104916i | ||||
\(656\) | 2189.37 | − | 1054.34i | 0.130306 | − | 0.0627519i | ||||
\(657\) | 46731.7 | − | 10666.2i | 2.77501 | − | 0.633377i | ||||
\(658\) | 8840.33 | − | 7049.93i | 0.523757 | − | 0.417682i | ||||
\(659\) | − | 13807.3i | − | 0.816172i | −0.912943 | − | 0.408086i | \(-0.866196\pi\) | ||
0.912943 | − | 0.408086i | \(-0.133804\pi\) | |||||||
\(660\) | − | 9964.67i | − | 0.587688i | ||||||
\(661\) | −21292.6 | − | 10254.0i | −1.25293 | − | 0.603380i | −0.314635 | − | 0.949213i | \(-0.601882\pi\) |
−0.938296 | + | 0.345833i | \(0.887596\pi\) | |||||||
\(662\) | 899.144 | − | 1867.09i | 0.0527889 | − | 0.109617i | ||||
\(663\) | 507.730 | − | 115.886i | 0.0297415 | − | 0.00678830i | ||||
\(664\) | 32290.6 | − | 25750.9i | 1.88723 | − | 1.50501i | ||||
\(665\) | −1221.33 | − | 973.976i | −0.0712196 | − | 0.0567957i | ||||
\(666\) | −125.441 | − | 260.480i | −0.00729838 | − | 0.0151553i | ||||
\(667\) | −1667.37 | + | 802.964i | −0.0967930 | + | 0.0466131i | ||||
\(668\) | 7370.81i | 0.426924i | ||||||||
\(669\) | −8571.78 | − | 6835.77i | −0.495373 | − | 0.395046i | ||||
\(670\) | 6168.83 | + | 12809.7i | 0.355706 | + | 0.738630i | ||||
\(671\) | −1722.50 | − | 3576.81i | −0.0991004 | − | 0.205784i | ||||
\(672\) | 2477.05 | + | 3106.12i | 0.142194 | + | 0.178305i | ||||
\(673\) | 4385.49 | + | 1000.96i | 0.251186 | + | 0.0573316i | 0.346260 | − | 0.938139i | \(-0.387452\pi\) |
−0.0950738 | + | 0.995470i | \(0.530309\pi\) | |||||||
\(674\) | −24354.4 | −1.39184 | ||||||||
\(675\) | − | 6904.46i | − | 0.393708i | ||||||
\(676\) | −20245.6 | − | 25387.2i | −1.15189 | − | 1.44443i | ||||
\(677\) | −1012.76 | − | 2103.01i | −0.0574939 | − | 0.119387i | 0.870242 | − | 0.492624i | \(-0.163962\pi\) |
−0.927736 | + | 0.373237i | \(0.878248\pi\) | |||||||
\(678\) | − | 3084.01i | − | 0.174692i | ||||||
\(679\) | 531.516 | − | 666.499i | 0.0300408 | − | 0.0376700i | ||||
\(680\) | −18492.0 | − | 4220.68i | −1.04285 | − | 0.238023i | ||||
\(681\) | −22961.8 | + | 28793.1i | −1.29207 | + | 1.62020i | ||||
\(682\) | 10039.0 | − | 8005.85i | 0.563657 | − | 0.449501i | ||||
\(683\) | 3324.89 | + | 4169.28i | 0.186271 | + | 0.233577i | 0.866195 | − | 0.499706i | \(-0.166559\pi\) |
−0.679924 | + | 0.733283i | \(0.737987\pi\) | |||||||
\(684\) | 21766.3 | 1.21675 | ||||||||
\(685\) | −11414.2 | − | 9102.52i | −0.636663 | − | 0.507722i | ||||
\(686\) | −7347.63 | + | 15257.5i | −0.408942 | + | 0.849176i | ||||
\(687\) | 6805.21 | − | 8533.46i | 0.377926 | − | 0.473904i | ||||
\(688\) | −5369.92 | − | 2586.02i | −0.297567 | − | 0.143301i | ||||
\(689\) | −438.973 | − | 100.193i | −0.0242722 | − | 0.00553997i | ||||
\(690\) | 6900.22 | + | 1574.93i | 0.380706 | + | 0.0868936i | ||||
\(691\) | −15918.9 | − | 7666.12i | −0.876385 | − | 0.422045i | −0.0590822 | − | 0.998253i | \(-0.518817\pi\) |
−0.817303 | + | 0.576208i | \(0.804532\pi\) | |||||||
\(692\) | −13778.3 | + | 17277.5i | −0.756899 | + | 0.949121i | ||||
\(693\) | −936.407 | + | 1944.47i | −0.0513293 | + | 0.106586i | ||||
\(694\) | −12552.9 | − | 10010.6i | −0.686604 | − | 0.547548i | ||||
\(695\) | −17736.2 | −0.968016 | ||||||||
\(696\) | 17041.8 | + | 21369.8i | 0.928116 | + | 1.16382i | ||||
\(697\) | −3337.19 | + | 2661.32i | −0.181356 | + | 0.144626i | ||||
\(698\) | −14331.6 | + | 17971.3i | −0.777163 | + | 0.974532i | ||||
\(699\) | 30375.1 | + | 6932.92i | 1.64362 | + | 0.375146i | ||||
\(700\) | 2033.66 | − | 2550.13i | 0.109807 | − | 0.137694i | ||||
\(701\) | − | 7618.51i | − | 0.410481i | −0.978712 | − | 0.205240i | \(-0.934202\pi\) | ||
0.978712 | − | 0.205240i | \(-0.0657977\pi\) | |||||||
\(702\) | 332.782 | + | 691.028i | 0.0178918 | + | 0.0371527i | ||||
\(703\) | 25.4972 | + | 31.9725i | 0.00136792 | + | 0.00171531i | ||||
\(704\) | − | 5987.89i | − | 0.320564i | ||||||
\(705\) | 34537.6 | 1.84505 | ||||||||
\(706\) | −60751.9 | − | 13866.2i | −3.23857 | − | 0.739182i | ||||
\(707\) | −1077.39 | − | 1351.01i | −0.0573120 | − | 0.0718669i | ||||
\(708\) | 4634.23 | + | 9623.08i | 0.245996 | + | 0.510816i | ||||
\(709\) | 10036.5 | + | 20841.0i | 0.531633 | + | 1.10395i | 0.977905 | + | 0.209050i | \(0.0670371\pi\) |
−0.446272 | + | 0.894897i | \(0.647249\pi\) | |||||||
\(710\) | 27702.2 | + | 22091.7i | 1.46429 | + | 1.16773i | ||||
\(711\) | − | 47892.1i | − | 2.52615i | ||||||
\(712\) | −26406.8 | + | 12716.8i | −1.38994 | + | 0.669359i | ||||
\(713\) | 2567.80 | + | 5332.10i | 0.134874 | + | 0.280068i | ||||
\(714\) | 11045.0 | + | 8808.09i | 0.578919 | + | 0.461673i | ||||
\(715\) | −58.3370 | + | 46.5222i | −0.00305130 | + | 0.00243333i | ||||
\(716\) | 11830.6 | − | 2700.26i | 0.617502 | − | 0.140941i | ||||
\(717\) | 3882.02 | − | 8061.09i | 0.202199 | − | 0.419870i | ||||
\(718\) | 20665.2 | + | 9951.82i | 1.07412 | + | 0.517268i | ||||
\(719\) | 5863.80i | 0.304149i | 0.988369 | + | 0.152074i | \(0.0485953\pi\) | ||||
−0.988369 | + | 0.152074i | \(0.951405\pi\) | |||||||
\(720\) | − | 15565.2i | − | 0.805670i | ||||||
\(721\) | 3823.26 | − | 3048.95i | 0.197483 | − | 0.157488i | ||||
\(722\) | 27294.7 | − | 6229.83i | 1.40693 | − | 0.321122i | ||||
\(723\) | 20718.7 | − | 9977.59i | 1.06575 | − | 0.513237i | ||||
\(724\) | −3782.05 | + | 16570.3i | −0.194142 | + | 0.850592i | ||||
\(725\) | −2503.02 | + | 3138.69i | −0.128220 | + | 0.160783i | ||||
\(726\) | −46436.2 | + | 22362.5i | −2.37384 | + | 1.14318i | ||||
\(727\) | 248.408 | + | 1088.35i | 0.0126725 | + | 0.0555220i | 0.980869 | − | 0.194670i | \(-0.0623635\pi\) |
−0.968196 | + | 0.250192i | \(0.919506\pi\) | |||||||
\(728\) | −37.0031 | + | 162.121i | −0.00188383 | + | 0.00825360i | ||||
\(729\) | −6739.56 | − | 29527.9i | −0.342405 | − | 1.50017i | ||||
\(730\) | 19504.9 | + | 40502.4i | 0.988916 | + | 2.05351i | ||||
\(731\) | 10206.8 | + | 2329.63i | 0.516432 | + | 0.117872i | ||||
\(732\) | −25548.8 | − | 53052.6i | −1.29004 | − | 2.67880i | ||||
\(733\) | 8585.46 | − | 37615.4i | 0.432621 | − | 1.89544i | −0.0124114 | − | 0.999923i | \(-0.503951\pi\) |
0.445033 | − | 0.895514i | \(-0.353192\pi\) | |||||||
\(734\) | −4788.41 | − | 2305.98i | −0.240795 | − | 0.115961i | ||||
\(735\) | −22266.9 | + | 10723.2i | −1.11745 | + | 0.538137i | ||||
\(736\) | 1572.80 | + | 358.981i | 0.0787691 | + | 0.0179785i | ||||
\(737\) | −1732.33 | + | 2172.27i | −0.0865822 | + | 0.108571i | ||||
\(738\) | −11653.3 | − | 9293.18i | −0.581251 | − | 0.463532i | ||||
\(739\) | 8574.98 | + | 4129.49i | 0.426841 | + | 0.205556i | 0.634956 | − | 0.772549i | \(-0.281018\pi\) |
−0.208114 | + | 0.978104i | \(0.566733\pi\) | |||||||
\(740\) | 137.560 | − | 109.700i | 0.00683351 | − | 0.00544954i | ||||
\(741\) | −160.382 | − | 201.113i | −0.00795112 | − | 0.00997040i | ||||
\(742\) | −5299.45 | − | 11004.4i | −0.262195 | − | 0.544454i | ||||
\(743\) | 7735.31 | − | 6168.70i | 0.381939 | − | 0.304587i | −0.413635 | − | 0.910443i | \(-0.635741\pi\) |
0.795574 | + | 0.605856i | \(0.207169\pi\) | |||||||
\(744\) | 68338.5 | − | 54498.1i | 3.36749 | − | 2.68548i | ||||
\(745\) | 2497.75 | + | 10943.4i | 0.122833 | + | 0.538166i | ||||
\(746\) | −5491.78 | + | 24061.0i | −0.269528 | + | 1.18088i | ||||
\(747\) | −53638.3 | − | 25830.9i | −2.62721 | − | 1.26520i | ||||
\(748\) | −1797.18 | − | 7873.95i | −0.0878493 | − | 0.384893i | ||||
\(749\) | 236.879 | + | 297.037i | 0.0115559 | + | 0.0144906i | ||||
\(750\) | 60780.1 | − | 13872.7i | 2.95917 | − | 0.675411i | ||||
\(751\) | −19485.2 | − | 24433.7i | −0.946773 | − | 1.18722i | −0.982199 | − | 0.187844i | \(-0.939850\pi\) |
0.0354257 | − | 0.999372i | \(-0.488721\pi\) | |||||||
\(752\) | −15936.4 | −0.772795 | ||||||||
\(753\) | 33563.0 | + | 26765.6i | 1.62431 | + | 1.29534i | ||||
\(754\) | 99.2344 | − | 434.774i | 0.00479298 | − | 0.0209994i | ||||
\(755\) | −16342.9 | −0.787785 | ||||||||
\(756\) | −5857.79 | + | 12163.8i | −0.281807 | + | 0.585177i | ||||
\(757\) | 16505.0 | − | 3767.17i | 0.792451 | − | 0.180872i | 0.192911 | − | 0.981216i | \(-0.438207\pi\) |
0.599541 | + | 0.800344i | \(0.295350\pi\) | |||||||
\(758\) | −11560.4 | + | 24005.4i | −0.553948 | + | 1.15029i | ||||
\(759\) | 307.775 | + | 1348.45i | 0.0147187 | + | 0.0644869i | ||||
\(760\) | 2084.73 | + | 9133.78i | 0.0995012 | + | 0.435943i | ||||
\(761\) | 2698.83 | + | 2152.24i | 0.128558 | + | 0.102521i | 0.685658 | − | 0.727924i | \(-0.259515\pi\) |
−0.557100 | + | 0.830445i | \(0.688086\pi\) | |||||||
\(762\) | 71491.1 | + | 34428.3i | 3.39875 | + | 1.63675i | ||||
\(763\) | −5552.83 | − | 6963.03i | −0.263468 | − | 0.330378i | ||||
\(764\) | 12599.4 | − | 6067.55i | 0.596637 | − | 0.287325i | ||||
\(765\) | 6083.94 | + | 26655.5i | 0.287537 | + | 1.25978i | ||||
\(766\) | −59357.8 | + | 28585.2i | −2.79985 | + | 1.34834i | ||||
\(767\) | 34.7013 |