Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [197,4,Mod(16,197)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(197, base_ring=CyclotomicField(98))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("197.16");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 197 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 197.g (of order \(49\), degree \(42\), 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: | \(2058\) |
Relative dimension: | \(49\) over \(\Q(\zeta_{49})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{49}]$ |
Embedding invariants
Embedding label | 16.19 | ||
Character | \(\chi\) | \(=\) | 197.16 |
Dual form | 197.4.g.a.37.19 |
$q$-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 \(\left(\mathbb{Z}/197\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{49}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.84830 | − | 0.118665i | −0.653473 | − | 0.0419543i | −0.266198 | − | 0.963919i | \(-0.585767\pi\) |
−0.387275 | + | 0.921964i | \(0.626584\pi\) | |||||||
\(3\) | −3.90867 | + | 5.60337i | −0.752224 | + | 1.07837i | 0.241919 | + | 0.970297i | \(0.422223\pi\) |
−0.994143 | + | 0.108073i | \(0.965532\pi\) | |||||||
\(4\) | −4.53219 | − | 0.584361i | −0.566524 | − | 0.0730451i | ||||
\(5\) | −3.25835 | + | 2.12095i | −0.291435 | + | 0.189703i | −0.682943 | − | 0.730471i | \(-0.739300\pi\) |
0.391508 | + | 0.920175i | \(0.371953\pi\) | |||||||
\(6\) | 7.88932 | − | 9.89289i | 0.536800 | − | 0.673126i | ||||
\(7\) | 29.1744 | − | 1.87306i | 1.57527 | − | 0.101136i | 0.748292 | − | 0.663369i | \(-0.230874\pi\) |
0.826979 | + | 0.562233i | \(0.190058\pi\) | |||||||
\(8\) | 22.8511 | + | 4.45025i | 1.00989 | + | 0.196675i | ||||
\(9\) | −6.79524 | − | 18.4649i | −0.251675 | − | 0.683883i | ||||
\(10\) | 6.27408 | − | 3.53350i | 0.198404 | − | 0.111739i | ||||
\(11\) | 5.84212 | − | 19.6840i | 0.160133 | − | 0.539542i | −0.839861 | − | 0.542801i | \(-0.817364\pi\) |
0.999995 | + | 0.00325871i | \(0.00103728\pi\) | |||||||
\(12\) | 20.9892 | − | 23.1115i | 0.504922 | − | 0.555976i | ||||
\(13\) | 0.543376 | − | 16.9445i | 0.0115927 | − | 0.361504i | −0.977210 | − | 0.212275i | \(-0.931913\pi\) |
0.988803 | − | 0.149229i | \(-0.0476791\pi\) | |||||||
\(14\) | −54.1454 | −1.03364 | ||||||||
\(15\) | 0.851337 | − | 26.5478i | 0.0146543 | − | 0.456974i | ||||
\(16\) | −6.34559 | − | 1.66401i | −0.0991498 | − | 0.0260001i | ||||
\(17\) | 16.8720 | + | 16.3396i | 0.240710 | + | 0.233114i | 0.806204 | − | 0.591638i | \(-0.201519\pi\) |
−0.565494 | + | 0.824752i | \(0.691314\pi\) | |||||||
\(18\) | 10.3685 | + | 34.9349i | 0.135771 | + | 0.457458i | ||||
\(19\) | 78.1935 | + | 37.6560i | 0.944148 | + | 0.454678i | 0.841631 | − | 0.540054i | \(-0.181596\pi\) |
0.102517 | + | 0.994731i | \(0.467310\pi\) | |||||||
\(20\) | 16.0068 | − | 7.70849i | 0.178962 | − | 0.0861835i | ||||
\(21\) | −103.538 | + | 170.796i | −1.07590 | + | 1.77480i | ||||
\(22\) | −13.1338 | + | 35.6888i | −0.127279 | + | 0.345858i | ||||
\(23\) | 7.88553 | + | 48.7748i | 0.0714890 | + | 0.442185i | 0.997850 | + | 0.0655466i | \(0.0208791\pi\) |
−0.926361 | + | 0.376638i | \(0.877080\pi\) | |||||||
\(24\) | −114.254 | + | 110.649i | −0.971749 | + | 0.941087i | ||||
\(25\) | −44.4795 | + | 100.480i | −0.355836 | + | 0.803840i | ||||
\(26\) | −3.01503 | + | 31.2540i | −0.0227422 | + | 0.235747i | ||||
\(27\) | −48.4039 | − | 12.6930i | −0.345012 | − | 0.0904729i | ||||
\(28\) | −133.319 | − | 8.55934i | −0.899816 | − | 0.0577701i | ||||
\(29\) | −43.7914 | + | 48.2192i | −0.280409 | + | 0.308761i | −0.864206 | − | 0.503138i | \(-0.832179\pi\) |
0.583797 | + | 0.811900i | \(0.301566\pi\) | |||||||
\(30\) | −4.72382 | + | 48.9673i | −0.0287482 | + | 0.298005i | ||||
\(31\) | 222.669 | − | 90.1488i | 1.29008 | − | 0.522297i | 0.375548 | − | 0.926803i | \(-0.377455\pi\) |
0.914535 | + | 0.404506i | \(0.132557\pi\) | |||||||
\(32\) | −165.224 | − | 54.8582i | −0.912744 | − | 0.303052i | ||||
\(33\) | 87.4622 | + | 109.674i | 0.461370 | + | 0.578540i | ||||
\(34\) | −29.2456 | − | 32.2027i | −0.147517 | − | 0.162433i | ||||
\(35\) | −91.0877 | + | 67.9805i | −0.439904 | + | 0.328309i | ||||
\(36\) | 20.0072 | + | 87.6571i | 0.0926257 | + | 0.405820i | ||||
\(37\) | −102.809 | + | 26.9596i | −0.456801 | + | 0.119787i | −0.474883 | − | 0.880049i | \(-0.657509\pi\) |
0.0180815 | + | 0.999837i | \(0.494244\pi\) | |||||||
\(38\) | −140.057 | − | 78.8784i | −0.597899 | − | 0.336731i | ||||
\(39\) | 92.8223 | + | 69.2751i | 0.381115 | + | 0.284433i | ||||
\(40\) | −83.8955 | + | 33.9655i | −0.331626 | + | 0.134261i | ||||
\(41\) | 112.974 | + | 109.409i | 0.430331 | + | 0.416753i | 0.878908 | − | 0.476992i | \(-0.158273\pi\) |
−0.448576 | + | 0.893744i | \(0.648069\pi\) | |||||||
\(42\) | 211.636 | − | 303.397i | 0.777529 | − | 1.11465i | ||||
\(43\) | −87.6135 | + | 295.199i | −0.310719 | + | 1.04692i | 0.647781 | + | 0.761826i | \(0.275697\pi\) |
−0.958501 | + | 0.285090i | \(0.907976\pi\) | |||||||
\(44\) | −37.9802 | + | 85.7979i | −0.130130 | + | 0.293966i | ||||
\(45\) | 61.3042 | + | 45.7525i | 0.203082 | + | 0.151564i | ||||
\(46\) | −8.78697 | − | 91.0862i | −0.0281645 | − | 0.291955i | ||||
\(47\) | −126.966 | − | 243.370i | −0.394040 | − | 0.755301i | 0.605126 | − | 0.796130i | \(-0.293123\pi\) |
−0.999166 | + | 0.0408287i | \(0.987000\pi\) | |||||||
\(48\) | 34.1269 | − | 29.0526i | 0.102621 | − | 0.0873622i | ||||
\(49\) | 507.455 | − | 65.4291i | 1.47946 | − | 0.190755i | ||||
\(50\) | 94.1349 | − | 180.439i | 0.266254 | − | 0.510359i | ||||
\(51\) | −157.504 | + | 30.6739i | −0.432451 | + | 0.0842198i | ||||
\(52\) | −12.3644 | + | 76.4780i | −0.0329737 | + | 0.203954i | ||||
\(53\) | 16.0844 | + | 166.731i | 0.0416860 | + | 0.432119i | 0.992490 | + | 0.122326i | \(0.0390353\pi\) |
−0.950804 | + | 0.309793i | \(0.899740\pi\) | |||||||
\(54\) | 87.9587 | + | 29.2043i | 0.221660 | + | 0.0735964i | ||||
\(55\) | 22.7132 | + | 76.5283i | 0.0556845 | + | 0.187619i | ||||
\(56\) | 675.004 | + | 87.0321i | 1.61073 | + | 0.207681i | ||||
\(57\) | −516.633 | + | 290.962i | −1.20052 | + | 0.676121i | ||||
\(58\) | 86.6615 | − | 83.9270i | 0.196193 | − | 0.190003i | ||||
\(59\) | 18.2653 | + | 10.2868i | 0.0403040 | + | 0.0226988i | 0.510738 | − | 0.859736i | \(-0.329372\pi\) |
−0.470434 | + | 0.882435i | \(0.655903\pi\) | |||||||
\(60\) | −19.3719 | + | 119.822i | −0.0416818 | + | 0.257816i | ||||
\(61\) | 157.096 | + | 225.209i | 0.329740 | + | 0.472707i | 0.950249 | − | 0.311493i | \(-0.100829\pi\) |
−0.620509 | + | 0.784200i | \(0.713074\pi\) | |||||||
\(62\) | −422.257 | + | 140.199i | −0.864947 | + | 0.287182i | ||||
\(63\) | −232.833 | − | 525.974i | −0.465622 | − | 1.05185i | ||||
\(64\) | 347.520 | + | 140.695i | 0.678750 | + | 0.274795i | ||||
\(65\) | 34.1678 | + | 56.3634i | 0.0652000 | + | 0.107554i | ||||
\(66\) | −148.642 | − | 213.089i | −0.277220 | − | 0.397416i | ||||
\(67\) | 132.136 | + | 253.280i | 0.240940 | + | 0.461837i | 0.976469 | − | 0.215656i | \(-0.0691889\pi\) |
−0.735529 | + | 0.677493i | \(0.763066\pi\) | |||||||
\(68\) | −66.9189 | − | 83.9137i | −0.119340 | − | 0.149647i | ||||
\(69\) | −304.125 | − | 146.459i | −0.530614 | − | 0.255530i | ||||
\(70\) | 176.424 | − | 114.839i | 0.301239 | − | 0.196085i | ||||
\(71\) | 250.281 | + | 680.095i | 0.418351 | + | 1.13679i | 0.955933 | + | 0.293584i | \(0.0948479\pi\) |
−0.537582 | + | 0.843211i | \(0.680662\pi\) | |||||||
\(72\) | −73.1054 | − | 452.183i | −0.119660 | − | 0.740142i | ||||
\(73\) | 580.302 | − | 152.173i | 0.930401 | − | 0.243980i | 0.242806 | − | 0.970075i | \(-0.421932\pi\) |
0.687594 | + | 0.726095i | \(0.258667\pi\) | |||||||
\(74\) | 193.220 | − | 37.6297i | 0.303533 | − | 0.0591130i | ||||
\(75\) | −389.171 | − | 641.979i | −0.599168 | − | 0.988391i | ||||
\(76\) | −332.383 | − | 216.357i | −0.501670 | − | 0.326551i | ||||
\(77\) | 133.571 | − | 585.214i | 0.197686 | − | 0.866120i | ||||
\(78\) | −163.343 | − | 139.056i | −0.237115 | − | 0.201859i | ||||
\(79\) | −629.130 | − | 409.518i | −0.895983 | − | 0.583221i | 0.0130634 | − | 0.999915i | \(-0.495842\pi\) |
−0.909047 | + | 0.416694i | \(0.863189\pi\) | |||||||
\(80\) | 24.2054 | − | 8.03674i | 0.0338281 | − | 0.0112317i | ||||
\(81\) | 664.828 | − | 565.977i | 0.911973 | − | 0.776374i | ||||
\(82\) | −195.827 | − | 215.627i | −0.263725 | − | 0.290391i | ||||
\(83\) | −181.951 | + | 87.6231i | −0.240623 | + | 0.115878i | −0.550310 | − | 0.834961i | \(-0.685490\pi\) |
0.309686 | + | 0.950839i | \(0.399776\pi\) | |||||||
\(84\) | 569.060 | − | 713.578i | 0.739161 | − | 0.926878i | ||||
\(85\) | −89.6303 | − | 17.4555i | −0.114374 | − | 0.0222743i | ||||
\(86\) | 196.966 | − | 535.220i | 0.246969 | − | 0.671096i | ||||
\(87\) | −99.0240 | − | 433.852i | −0.122029 | − | 0.534642i | ||||
\(88\) | 221.098 | − | 423.803i | 0.267831 | − | 0.513382i | ||||
\(89\) | −51.8448 | − | 20.9896i | −0.0617476 | − | 0.0249989i | 0.344185 | − | 0.938902i | \(-0.388155\pi\) |
−0.405933 | + | 0.913903i | \(0.633053\pi\) | |||||||
\(90\) | −107.879 | − | 91.8390i | −0.126350 | − | 0.107563i | ||||
\(91\) | −15.8853 | − | 495.363i | −0.0182993 | − | 0.570639i | ||||
\(92\) | −7.23662 | − | 225.665i | −0.00820076 | − | 0.255730i | ||||
\(93\) | −365.204 | + | 1600.06i | −0.407203 | + | 1.78407i | ||||
\(94\) | 205.792 | + | 464.887i | 0.225806 | + | 0.510100i | ||||
\(95\) | −334.648 | + | 43.1480i | −0.361412 | + | 0.0465989i | ||||
\(96\) | 953.198 | − | 711.390i | 1.01339 | − | 0.756312i | ||||
\(97\) | −152.465 | + | 251.508i | −0.159593 | + | 0.263265i | −0.924747 | − | 0.380581i | \(-0.875724\pi\) |
0.765154 | + | 0.643847i | \(0.222663\pi\) | |||||||
\(98\) | −945.693 | + | 60.7155i | −0.974790 | + | 0.0625836i | ||||
\(99\) | −403.162 | + | 25.8838i | −0.409286 | + | 0.0262770i | ||||
\(100\) | 260.306 | − | 429.402i | 0.260306 | − | 0.429402i | ||||
\(101\) | −1104.77 | + | 824.510i | −1.08840 | + | 0.812295i | −0.983268 | − | 0.182163i | \(-0.941690\pi\) |
−0.105133 | + | 0.994458i | \(0.533527\pi\) | |||||||
\(102\) | 294.755 | − | 38.0044i | 0.286128 | − | 0.0368922i | ||||
\(103\) | 783.526 | + | 1770.00i | 0.749544 | + | 1.69323i | 0.720301 | + | 0.693661i | \(0.244004\pi\) |
0.0292431 | + | 0.999572i | \(0.490690\pi\) | |||||||
\(104\) | 87.8239 | − | 384.782i | 0.0828062 | − | 0.362798i | ||||
\(105\) | −24.8884 | − | 776.112i | −0.0231320 | − | 0.721341i | ||||
\(106\) | −9.94360 | − | 310.078i | −0.00911140 | − | 0.284127i | ||||
\(107\) | −522.478 | − | 444.792i | −0.472055 | − | 0.401866i | 0.380273 | − | 0.924874i | \(-0.375830\pi\) |
−0.852328 | + | 0.523008i | \(0.824810\pi\) | |||||||
\(108\) | 211.958 | + | 85.8124i | 0.188849 | + | 0.0764565i | ||||
\(109\) | 373.849 | − | 716.598i | 0.328516 | − | 0.629703i | −0.664553 | − | 0.747241i | \(-0.731378\pi\) |
0.993068 | + | 0.117539i | \(0.0375004\pi\) | |||||||
\(110\) | −32.8996 | − | 144.142i | −0.0285168 | − | 0.124940i | ||||
\(111\) | 250.781 | − | 681.452i | 0.214442 | − | 0.582707i | ||||
\(112\) | −188.246 | − | 36.6608i | −0.158817 | − | 0.0309297i | ||||
\(113\) | −1323.65 | + | 1659.80i | −1.10193 | + | 1.38178i | −0.184999 | + | 0.982739i | \(0.559228\pi\) |
−0.916933 | + | 0.399041i | \(0.869343\pi\) | |||||||
\(114\) | 989.420 | − | 476.480i | 0.812874 | − | 0.391460i | ||||
\(115\) | −129.143 | − | 142.200i | −0.104718 | − | 0.115306i | ||||
\(116\) | 226.648 | − | 192.948i | 0.181412 | − | 0.154438i | ||||
\(117\) | −316.570 | + | 105.108i | −0.250144 | + | 0.0830536i | ||||
\(118\) | −32.5390 | − | 21.1806i | −0.0253853 | − | 0.0165240i | ||||
\(119\) | 522.836 | + | 445.097i | 0.402759 | + | 0.342874i | ||||
\(120\) | 137.598 | − | 602.858i | 0.104675 | − | 0.458610i | ||||
\(121\) | 762.164 | + | 496.114i | 0.572625 | + | 0.372738i | ||||
\(122\) | −263.637 | − | 434.896i | −0.195644 | − | 0.322735i | ||||
\(123\) | −1054.64 | + | 205.391i | −0.773119 | + | 0.150565i | ||||
\(124\) | −1061.86 | + | 278.452i | −0.769014 | + | 0.201659i | ||||
\(125\) | −145.745 | − | 901.487i | −0.104287 | − | 0.645051i | ||||
\(126\) | 367.931 | + | 999.786i | 0.260142 | + | 0.706889i | ||||
\(127\) | 404.337 | − | 263.194i | 0.282513 | − | 0.183895i | −0.396474 | − | 0.918046i | \(-0.629766\pi\) |
0.678987 | + | 0.734151i | \(0.262419\pi\) | |||||||
\(128\) | 629.196 | + | 303.005i | 0.434481 | + | 0.209235i | ||||
\(129\) | −1311.66 | − | 1644.77i | −0.895233 | − | 1.12259i | ||||
\(130\) | −56.4640 | − | 108.231i | −0.0380940 | − | 0.0730191i | ||||
\(131\) | 1046.38 | + | 1500.07i | 0.697886 | + | 1.00047i | 0.998902 | + | 0.0468530i | \(0.0149192\pi\) |
−0.301016 | + | 0.953619i | \(0.597326\pi\) | |||||||
\(132\) | −332.306 | − | 548.173i | −0.219117 | − | 0.361457i | ||||
\(133\) | 2351.78 | + | 952.131i | 1.53327 | + | 0.620754i | ||||
\(134\) | −214.172 | − | 483.817i | −0.138072 | − | 0.311906i | ||||
\(135\) | 184.638 | − | 61.3040i | 0.117712 | − | 0.0390830i | ||||
\(136\) | 312.829 | + | 448.463i | 0.197241 | + | 0.282760i | ||||
\(137\) | 74.7047 | − | 462.075i | 0.0465873 | − | 0.288159i | −0.953317 | − | 0.301970i | \(-0.902356\pi\) |
0.999905 | + | 0.0138115i | \(0.00439648\pi\) | |||||||
\(138\) | 544.735 | + | 306.789i | 0.336021 | + | 0.189244i | ||||
\(139\) | −1012.43 | + | 980.481i | −0.617791 | + | 0.598297i | −0.936975 | − | 0.349395i | \(-0.886387\pi\) |
0.319184 | + | 0.947693i | \(0.396591\pi\) | |||||||
\(140\) | 452.552 | − | 254.872i | 0.273197 | − | 0.153862i | ||||
\(141\) | 1859.96 | + | 239.815i | 1.11090 | + | 0.143235i | ||||
\(142\) | −381.892 | − | 1286.72i | −0.225687 | − | 0.760416i | ||||
\(143\) | −330.361 | − | 109.688i | −0.193190 | − | 0.0641436i | ||||
\(144\) | 12.3941 | + | 128.478i | 0.00717250 | + | 0.0743505i | ||||
\(145\) | 40.4171 | − | 249.994i | 0.0231480 | − | 0.143178i | ||||
\(146\) | −1090.63 | + | 212.400i | −0.618228 | + | 0.120400i | ||||
\(147\) | −1616.85 | + | 3099.20i | −0.907181 | + | 1.73890i | ||||
\(148\) | 481.702 | − | 62.1086i | 0.267538 | − | 0.0344953i | ||||
\(149\) | −396.482 | + | 337.530i | −0.217994 | + | 0.185581i | −0.750550 | − | 0.660814i | \(-0.770211\pi\) |
0.532556 | + | 0.846395i | \(0.321232\pi\) | |||||||
\(150\) | 643.125 | + | 1232.75i | 0.350073 | + | 0.671024i | ||||
\(151\) | −21.8171 | − | 226.157i | −0.0117580 | − | 0.121884i | 0.987633 | − | 0.156785i | \(-0.0501129\pi\) |
−0.999391 | + | 0.0349011i | \(0.988888\pi\) | |||||||
\(152\) | 1619.23 | + | 1208.46i | 0.864058 | + | 0.644863i | ||||
\(153\) | 187.060 | − | 422.571i | 0.0988423 | − | 0.223286i | ||||
\(154\) | −316.324 | + | 1065.80i | −0.165520 | + | 0.557692i | ||||
\(155\) | −534.332 | + | 766.006i | −0.276894 | + | 0.396949i | ||||
\(156\) | −380.207 | − | 368.210i | −0.195134 | − | 0.188977i | ||||
\(157\) | 2598.43 | − | 1051.99i | 1.32087 | − | 0.534762i | 0.397125 | − | 0.917764i | \(-0.370008\pi\) |
0.923747 | + | 0.383003i | \(0.125110\pi\) | |||||||
\(158\) | 1114.23 | + | 831.569i | 0.561032 | + | 0.418709i | ||||
\(159\) | −997.127 | − | 561.571i | −0.497341 | − | 0.280097i | ||||
\(160\) | 654.709 | − | 171.685i | 0.323496 | − | 0.0848305i | ||||
\(161\) | 321.414 | + | 1408.21i | 0.157335 | + | 0.689331i | ||||
\(162\) | −1295.96 | + | 967.203i | −0.628522 | + | 0.469078i | ||||
\(163\) | −223.150 | − | 245.713i | −0.107230 | − | 0.118072i | 0.684305 | − | 0.729196i | \(-0.260106\pi\) |
−0.791535 | + | 0.611124i | \(0.790718\pi\) | |||||||
\(164\) | −448.085 | − | 561.881i | −0.213351 | − | 0.267534i | ||||
\(165\) | −517.595 | − | 171.853i | −0.244210 | − | 0.0810834i | ||||
\(166\) | 346.698 | − | 140.363i | 0.162102 | − | 0.0656280i | ||||
\(167\) | −322.603 | + | 3344.12i | −0.149484 | + | 1.54955i | 0.550158 | + | 0.835061i | \(0.314568\pi\) |
−0.699641 | + | 0.714494i | \(0.746657\pi\) | |||||||
\(168\) | −3126.04 | + | 3442.12i | −1.43559 | + | 1.58075i | ||||
\(169\) | 1905.67 | + | 122.348i | 0.867395 | + | 0.0556886i | ||||
\(170\) | 163.592 | + | 42.8990i | 0.0738057 | + | 0.0193541i | ||||
\(171\) | 163.969 | − | 1699.71i | 0.0733277 | − | 0.760118i | ||||
\(172\) | 569.584 | − | 1286.70i | 0.252502 | − | 0.570407i | ||||
\(173\) | 960.617 | − | 930.305i | 0.422164 | − | 0.408843i | −0.453889 | − | 0.891058i | \(-0.649964\pi\) |
0.876053 | + | 0.482215i | \(0.160168\pi\) | |||||||
\(174\) | 131.543 | + | 813.640i | 0.0573118 | + | 0.354494i | ||||
\(175\) | −1109.46 | + | 3014.76i | −0.479241 | + | 1.30225i | ||||
\(176\) | −69.8261 | + | 115.185i | −0.0299054 | + | 0.0493320i | ||||
\(177\) | −129.034 | + | 62.1394i | −0.0547954 | + | 0.0263881i | ||||
\(178\) | 93.3341 | + | 44.9473i | 0.0393016 | + | 0.0189266i | ||||
\(179\) | −1224.98 | − | 4127.37i | −0.511506 | − | 1.72343i | −0.675859 | − | 0.737031i | \(-0.736227\pi\) |
0.164353 | − | 0.986402i | \(-0.447446\pi\) | |||||||
\(180\) | −251.106 | − | 243.183i | −0.103980 | − | 0.100699i | ||||
\(181\) | −2261.45 | − | 593.023i | −0.928688 | − | 0.243531i | −0.241827 | − | 0.970319i | \(-0.577747\pi\) |
−0.686861 | + | 0.726789i | \(0.741012\pi\) | |||||||
\(182\) | −29.4213 | + | 917.465i | −0.0119827 | + | 0.373665i | ||||
\(183\) | −1875.97 | −0.757791 | ||||||||
\(184\) | −36.8671 | + | 1149.65i | −0.0147711 | + | 0.460616i | ||||
\(185\) | 277.806 | − | 305.895i | 0.110404 | − | 0.121567i | ||||
\(186\) | 864.877 | − | 2914.06i | 0.340945 | − | 1.14876i | ||||
\(187\) | 420.199 | − | 236.651i | 0.164321 | − | 0.0925437i | ||||
\(188\) | 433.218 | + | 1177.19i | 0.168062 | + | 0.456678i | ||||
\(189\) | −1435.93 | − | 279.648i | −0.552638 | − | 0.107626i | ||||
\(190\) | 623.649 | − | 40.0396i | 0.238128 | − | 0.0152883i | ||||
\(191\) | −2377.86 | + | 2981.74i | −0.900815 | + | 1.12959i | 0.0902118 | + | 0.995923i | \(0.471246\pi\) |
−0.991027 | + | 0.133664i | \(0.957326\pi\) | |||||||
\(192\) | −2146.71 | + | 1397.35i | −0.806903 | + | 0.525236i | ||||
\(193\) | 3675.73 | + | 473.933i | 1.37091 | + | 0.176759i | 0.777874 | − | 0.628420i | \(-0.216298\pi\) |
0.593032 | + | 0.805179i | \(0.297931\pi\) | |||||||
\(194\) | 311.647 | − | 446.769i | 0.115335 | − | 0.165341i | ||||
\(195\) | −449.376 | − | 28.8509i | −0.165028 | − | 0.0105952i | ||||
\(196\) | −2338.12 | −0.852083 | ||||||||
\(197\) | −2628.54 | − | 857.992i | −0.950638 | − | 0.310302i | ||||
\(198\) | 748.235 | 0.268559 | ||||||||
\(199\) | −1341.22 | − | 86.1089i | −0.477770 | − | 0.0306739i | −0.176678 | − | 0.984269i | \(-0.556535\pi\) |
−0.301093 | + | 0.953595i | \(0.597351\pi\) | |||||||
\(200\) | −1463.57 | + | 2098.13i | −0.517449 | + | 0.741803i | ||||
\(201\) | −1935.70 | − | 249.581i | −0.679272 | − | 0.0875824i | ||||
\(202\) | 2139.78 | − | 1392.84i | 0.745320 | − | 0.485149i | ||||
\(203\) | −1187.27 | + | 1488.79i | −0.410493 | + | 0.514742i | ||||
\(204\) | 731.764 | − | 46.9808i | 0.251146 | − | 0.0161241i | ||||
\(205\) | −600.160 | − | 116.881i | −0.204473 | − | 0.0398211i | ||||
\(206\) | −1238.15 | − | 3364.46i | −0.418768 | − | 1.13793i | ||||
\(207\) | 847.035 | − | 477.041i | 0.284411 | − | 0.160177i | ||||
\(208\) | −31.6438 | + | 106.618i | −0.0105486 | + | 0.0355416i | ||||
\(209\) | 1198.04 | − | 1319.17i | 0.396507 | − | 0.436599i | ||||
\(210\) | −46.0959 | + | 1437.44i | −0.0151472 | + | 0.472347i | ||||
\(211\) | 3650.58 | 1.19107 | 0.595537 | − | 0.803328i | \(-0.296939\pi\) | ||||
0.595537 | + | 0.803328i | \(0.296939\pi\) | |||||||
\(212\) | 24.5339 | − | 765.057i | 0.00794809 | − | 0.247851i | ||||
\(213\) | −4789.09 | − | 1255.85i | −1.54058 | − | 0.403987i | ||||
\(214\) | 912.915 | + | 884.109i | 0.291615 | + | 0.282413i | ||||
\(215\) | −340.627 | − | 1147.68i | −0.108049 | − | 0.364053i | ||||
\(216\) | −1049.60 | − | 505.459i | −0.330629 | − | 0.159223i | ||||
\(217\) | 6327.40 | − | 3047.11i | 1.97941 | − | 0.953233i | ||||
\(218\) | −776.019 | + | 1280.12i | −0.241095 | + | 0.397711i | ||||
\(219\) | −1415.53 | + | 3846.45i | −0.436770 | + | 1.18684i | ||||
\(220\) | −58.2203 | − | 360.113i | −0.0178419 | − | 0.110358i | ||||
\(221\) | 286.034 | − | 277.009i | 0.0870622 | − | 0.0843151i | ||||
\(222\) | −544.382 | + | 1229.77i | −0.164579 | + | 0.371787i | ||||
\(223\) | −97.9831 | + | 1015.70i | −0.0294235 | + | 0.305005i | 0.968916 | + | 0.247392i | \(0.0795735\pi\) |
−0.998339 | + | 0.0576132i | \(0.981651\pi\) | |||||||
\(224\) | −4923.08 | − | 1290.98i | −1.46847 | − | 0.385078i | ||||
\(225\) | 2157.60 | + | 138.522i | 0.639288 | + | 0.0410437i | ||||
\(226\) | 2643.46 | − | 2910.74i | 0.778054 | − | 0.856724i | ||||
\(227\) | 89.4859 | − | 927.615i | 0.0261647 | − | 0.271224i | −0.973015 | − | 0.230740i | \(-0.925885\pi\) |
0.999180 | − | 0.0404846i | \(-0.0128902\pi\) | |||||||
\(228\) | 2511.51 | − | 1016.80i | 0.729511 | − | 0.295346i | ||||
\(229\) | 4927.22 | + | 1635.95i | 1.42183 | + | 0.472081i | 0.919670 | − | 0.392692i | \(-0.128456\pi\) |
0.502163 | + | 0.864773i | \(0.332538\pi\) | |||||||
\(230\) | 221.820 | + | 278.153i | 0.0635929 | + | 0.0797430i | ||||
\(231\) | 2757.08 | + | 3035.86i | 0.785294 | + | 0.864696i | ||||
\(232\) | −1215.27 | + | 906.979i | −0.343907 | + | 0.256664i | ||||
\(233\) | −586.352 | − | 2568.98i | −0.164863 | − | 0.722314i | −0.987998 | − | 0.154467i | \(-0.950634\pi\) |
0.823134 | − | 0.567847i | \(-0.192223\pi\) | |||||||
\(234\) | 597.588 | − | 156.706i | 0.166947 | − | 0.0437786i | ||||
\(235\) | 929.873 | + | 523.695i | 0.258120 | + | 0.145371i | ||||
\(236\) | −76.7705 | − | 57.2953i | −0.0211751 | − | 0.0158034i | ||||
\(237\) | 4753.75 | − | 1924.58i | 1.30291 | − | 0.527489i | ||||
\(238\) | −913.541 | − | 884.715i | −0.248807 | − | 0.240956i | ||||
\(239\) | −3.90539 | + | 5.59868i | −0.00105698 | + | 0.00151526i | −0.820700 | − | 0.571359i | \(-0.806416\pi\) |
0.819643 | + | 0.572874i | \(0.194172\pi\) | |||||||
\(240\) | −49.5780 | + | 167.045i | −0.0133344 | + | 0.0449279i | ||||
\(241\) | 2097.61 | − | 4738.53i | 0.560659 | − | 1.26654i | −0.379307 | − | 0.925271i | \(-0.623838\pi\) |
0.939966 | − | 0.341268i | \(-0.110856\pi\) | |||||||
\(242\) | −1349.84 | − | 1007.41i | −0.358557 | − | 0.267598i | ||||
\(243\) | 443.047 | + | 4592.65i | 0.116961 | + | 1.21242i | ||||
\(244\) | −580.387 | − | 1112.49i | −0.152276 | − | 0.291885i | ||||
\(245\) | −1514.69 | + | 1289.48i | −0.394980 | + | 0.336251i | ||||
\(246\) | 1973.66 | − | 254.476i | 0.511529 | − | 0.0659544i | ||||
\(247\) | 680.549 | − | 1304.49i | 0.175313 | − | 0.336042i | ||||
\(248\) | 5489.42 | − | 1069.07i | 1.40556 | − | 0.273733i | ||||
\(249\) | 220.203 | − | 1362.03i | 0.0560433 | − | 0.346648i | ||||
\(250\) | 162.406 | + | 1683.51i | 0.0410859 | + | 0.425899i | ||||
\(251\) | −5246.80 | − | 1742.06i | −1.31942 | − | 0.438079i | −0.433183 | − | 0.901306i | \(-0.642610\pi\) |
−0.886240 | + | 0.463227i | \(0.846691\pi\) | |||||||
\(252\) | 747.884 | + | 2519.87i | 0.186954 | + | 0.629908i | ||||
\(253\) | 1006.15 | + | 129.729i | 0.250025 | + | 0.0322372i | ||||
\(254\) | −778.568 | + | 438.481i | −0.192330 | + | 0.108318i | ||||
\(255\) | 448.145 | − | 434.005i | 0.110055 | − | 0.106582i | ||||
\(256\) | −3740.39 | − | 2106.55i | −0.913180 | − | 0.514294i | ||||
\(257\) | 160.822 | − | 994.741i | 0.0390342 | − | 0.241441i | −0.960256 | − | 0.279122i | \(-0.909956\pi\) |
0.999290 | + | 0.0376817i | \(0.0119973\pi\) | |||||||
\(258\) | 2229.16 | + | 3195.67i | 0.537913 | + | 0.771139i | ||||
\(259\) | −2948.89 | + | 979.098i | −0.707471 | + | 0.234896i | ||||
\(260\) | −121.918 | − | 275.416i | −0.0290810 | − | 0.0656945i | ||||
\(261\) | 1187.93 | + | 480.941i | 0.281729 | + | 0.114059i | ||||
\(262\) | −1756.03 | − | 2896.75i | −0.414075 | − | 0.683061i | ||||
\(263\) | −1056.17 | − | 1514.09i | −0.247627 | − | 0.354992i | 0.676922 | − | 0.736055i | \(-0.263313\pi\) |
−0.924549 | + | 0.381062i | \(0.875558\pi\) | |||||||
\(264\) | 1510.53 | + | 2895.40i | 0.352147 | + | 0.674999i | ||||
\(265\) | −406.037 | − | 509.154i | −0.0941232 | − | 0.118027i | ||||
\(266\) | −4233.81 | − | 2038.90i | −0.975909 | − | 0.469973i | ||||
\(267\) | 320.257 | − | 208.464i | 0.0734061 | − | 0.0477821i | ||||
\(268\) | −450.858 | − | 1225.13i | −0.102763 | − | 0.279241i | ||||
\(269\) | −250.349 | − | 1548.50i | −0.0567436 | − | 0.350980i | −0.999830 | − | 0.0184319i | \(-0.994133\pi\) |
0.943086 | − | 0.332548i | \(-0.107908\pi\) | |||||||
\(270\) | −348.541 | + | 91.3981i | −0.0785611 | + | 0.0206012i | ||||
\(271\) | 711.369 | − | 138.539i | 0.159456 | − | 0.0310541i | −0.110799 | − | 0.993843i | \(-0.535341\pi\) |
0.270255 | + | 0.962789i | \(0.412892\pi\) | |||||||
\(272\) | −79.8735 | − | 131.760i | −0.0178053 | − | 0.0293717i | ||||
\(273\) | 2837.80 | + | 1847.20i | 0.629125 | + | 0.409515i | ||||
\(274\) | −192.909 | + | 845.189i | −0.0425330 | + | 0.186349i | ||||
\(275\) | 1718.00 | + | 1462.55i | 0.376724 | + | 0.320710i | ||||
\(276\) | 1292.77 | + | 841.499i | 0.281940 | + | 0.183523i | ||||
\(277\) | 6306.39 | − | 2093.86i | 1.36792 | − | 0.454181i | 0.465504 | − | 0.885046i | \(-0.345873\pi\) |
0.902417 | + | 0.430865i | \(0.141791\pi\) | |||||||
\(278\) | 1987.62 | − | 1692.08i | 0.428811 | − | 0.365052i | ||||
\(279\) | −3177.67 | − | 3498.97i | −0.681872 | − | 0.750817i | ||||
\(280\) | −2383.99 | + | 1148.07i | −0.508823 | + | 0.245036i | ||||
\(281\) | 5081.41 | − | 6371.88i | 1.07876 | − | 1.35272i | 0.147211 | − | 0.989105i | \(-0.452970\pi\) |
0.931549 | − | 0.363617i | \(-0.118458\pi\) | |||||||
\(282\) | −3409.31 | − | 663.962i | −0.719934 | − | 0.140207i | ||||
\(283\) | 921.958 | − | 2505.26i | 0.193656 | − | 0.526227i | −0.804002 | − | 0.594627i | \(-0.797300\pi\) |
0.997658 | + | 0.0684003i | \(0.0217895\pi\) | |||||||
\(284\) | −736.901 | − | 3228.57i | −0.153968 | − | 0.674580i | ||||
\(285\) | 1066.25 | − | 2043.81i | 0.221612 | − | 0.424789i | ||||
\(286\) | 597.591 | + | 241.938i | 0.123553 | + | 0.0500212i | ||||
\(287\) | 3500.88 | + | 2980.35i | 0.720037 | + | 0.612976i | ||||
\(288\) | 109.789 | + | 3423.62i | 0.0224631 | + | 0.700481i | ||||
\(289\) | −139.788 | − | 4359.11i | −0.0284527 | − | 0.887260i | ||||
\(290\) | −104.368 | + | 457.268i | −0.0211335 | + | 0.0925920i | ||||
\(291\) | −813.355 | − | 1837.38i | −0.163848 | − | 0.370135i | ||||
\(292\) | −2718.96 | + | 350.572i | −0.544916 | + | 0.0702591i | ||||
\(293\) | −7071.80 | + | 5277.82i | −1.41003 | + | 1.05233i | −0.420613 | + | 0.907240i | \(0.638185\pi\) |
−0.989418 | + | 0.145093i | \(0.953652\pi\) | |||||||
\(294\) | 3356.19 | − | 5536.39i | 0.665772 | − | 1.09826i | ||||
\(295\) | −81.3324 | + | 5.22171i | −0.0160521 | + | 0.00103058i | ||||
\(296\) | −2469.27 | + | 158.532i | −0.484876 | + | 0.0311301i | ||||
\(297\) | −532.631 | + | 878.631i | −0.104062 | + | 0.171661i | ||||
\(298\) | 772.870 | − | 576.808i | 0.150239 | − | 0.112126i | ||||
\(299\) | 830.748 | − | 107.113i | 0.160680 | − | 0.0207174i | ||||
\(300\) | 1388.65 | + | 3136.99i | 0.267246 | + | 0.603713i | ||||
\(301\) | −2003.15 | + | 8776.37i | −0.383587 | + | 1.68060i | ||||
\(302\) | 13.4877 | + | 420.596i | 0.00256996 | + | 0.0801409i | ||||
\(303\) | −301.862 | − | 9413.16i | −0.0572327 | − | 1.78473i | ||||
\(304\) | −433.524 | − | 369.064i | −0.0817904 | − | 0.0696292i | ||||
\(305\) | −989.532 | − | 400.617i | −0.185772 | − | 0.0752107i | ||||
\(306\) | −395.887 | + | 758.840i | −0.0739586 | + | 0.141765i | ||||
\(307\) | 478.013 | + | 2094.31i | 0.0888654 | + | 0.389345i | 0.999727 | − | 0.0233673i | \(-0.00743874\pi\) |
−0.910862 | + | 0.412712i | \(0.864582\pi\) | |||||||
\(308\) | −947.346 | + | 2574.24i | −0.175260 | + | 0.476238i | ||||
\(309\) | −12980.5 | − | 2527.95i | −2.38976 | − | 0.465405i | ||||
\(310\) | 1078.50 | − | 1352.40i | 0.197597 | − | 0.247778i | ||||
\(311\) | −1967.27 | + | 947.388i | −0.358694 | + | 0.172738i | −0.604547 | − | 0.796569i | \(-0.706646\pi\) |
0.245854 | + | 0.969307i | \(0.420932\pi\) | |||||||
\(312\) | 1812.80 | + | 1996.10i | 0.328941 | + | 0.362201i | ||||
\(313\) | −303.341 | + | 258.238i | −0.0547790 | + | 0.0466340i | −0.675198 | − | 0.737636i | \(-0.735942\pi\) |
0.620419 | + | 0.784270i | \(0.286962\pi\) | |||||||
\(314\) | −4927.50 | + | 1636.04i | −0.885590 | + | 0.294036i | ||||
\(315\) | 1874.21 | + | 1219.98i | 0.335238 | + | 0.218216i | ||||
\(316\) | 2612.03 | + | 2223.65i | 0.464994 | + | 0.395855i | ||||
\(317\) | −980.057 | + | 4293.91i | −0.173645 | + | 0.760789i | 0.810832 | + | 0.585278i | \(0.199015\pi\) |
−0.984478 | + | 0.175511i | \(0.943842\pi\) | |||||||
\(318\) | 1776.35 | + | 1156.28i | 0.313248 | + | 0.203902i | ||||
\(319\) | 693.314 | + | 1143.69i | 0.121687 | + | 0.200735i | ||||
\(320\) | −1430.75 | + | 278.638i | −0.249941 | + | 0.0486760i | ||||
\(321\) | 4534.53 | − | 1189.09i | 0.788451 | − | 0.206756i | ||||
\(322\) | −426.965 | − | 2640.93i | −0.0738939 | − | 0.457060i | ||||
\(323\) | 703.996 | + | 1912.98i | 0.121274 | + | 0.329540i | ||||
\(324\) | −3343.86 | + | 2176.61i | −0.573365 | + | 0.373219i | ||||
\(325\) | 1678.41 | + | 808.280i | 0.286466 | + | 0.137955i | ||||
\(326\) | 383.291 | + | 480.631i | 0.0651181 | + | 0.0816555i | ||||
\(327\) | 2554.11 | + | 4895.76i | 0.431935 | + | 0.827939i | ||||
\(328\) | 2094.68 | + | 3002.89i | 0.352621 | + | 0.505508i | ||||
\(329\) | −4160.00 | − | 6862.36i | −0.697108 | − | 1.14995i | ||||
\(330\) | 936.278 | + | 379.057i | 0.156183 | + | 0.0632315i | ||||
\(331\) | −807.267 | − | 1823.63i | −0.134053 | − | 0.302827i | 0.834763 | − | 0.550609i | \(-0.185605\pi\) |
−0.968816 | + | 0.247782i | \(0.920298\pi\) | |||||||
\(332\) | 875.841 | − | 290.799i | 0.144783 | − | 0.0480713i | ||||
\(333\) | 1196.41 | + | 1715.15i | 0.196886 | + | 0.282251i | ||||
\(334\) | 993.096 | − | 6142.65i | 0.162694 | − | 1.00632i | ||||
\(335\) | −967.738 | − | 545.020i | −0.157830 | − | 0.0888885i | ||||
\(336\) | 941.215 | − | 911.516i | 0.152820 | − | 0.147998i | ||||
\(337\) | 6318.18 | − | 3558.33i | 1.02129 | − | 0.575177i | 0.113029 | − | 0.993592i | \(-0.463945\pi\) |
0.908256 | + | 0.418415i | \(0.137414\pi\) | |||||||
\(338\) | −3507.72 | − | 452.271i | −0.564482 | − | 0.0727819i | ||||
\(339\) | −4126.79 | − | 13904.5i | −0.661169 | − | 2.22770i | ||||
\(340\) | 396.021 | + | 131.488i | 0.0631685 | + | 0.0209734i | ||||
\(341\) | −473.632 | − | 4909.69i | −0.0752159 | − | 0.779692i | ||||
\(342\) | −504.760 | + | 3122.12i | −0.0798079 | + | 0.493640i | ||||
\(343\) | 4839.64 | − | 942.520i | 0.761854 | − | 0.148371i | ||||
\(344\) | −3315.78 | + | 6355.72i | −0.519694 | + | 0.996156i | ||||
\(345\) | 1301.58 | − | 167.820i | 0.203115 | − | 0.0261887i | ||||
\(346\) | −1885.90 | + | 1605.49i | −0.293025 | + | 0.249456i | ||||
\(347\) | 991.462 | + | 1900.45i | 0.153385 | + | 0.294010i | 0.951019 | − | 0.309131i | \(-0.100038\pi\) |
−0.797635 | + | 0.603141i | \(0.793916\pi\) | |||||||
\(348\) | 195.269 | + | 2024.17i | 0.0300791 | + | 0.311801i | ||||
\(349\) | −10375.9 | − | 7743.73i | −1.59143 | − | 1.18771i | −0.866916 | − | 0.498453i | \(-0.833901\pi\) |
−0.724513 | − | 0.689261i | \(-0.757935\pi\) | |||||||
\(350\) | 2408.36 | − | 5440.53i | 0.367806 | − | 0.830881i | ||||
\(351\) | −241.378 | + | 813.282i | −0.0367059 | + | 0.123675i | ||||
\(352\) | −2045.09 | + | 2931.79i | −0.309670 | + | 0.443935i | ||||
\(353\) | 8482.62 | + | 8214.96i | 1.27899 | + | 1.23864i | 0.956387 | + | 0.292102i | \(0.0943548\pi\) |
0.322606 | + | 0.946533i | \(0.395441\pi\) | |||||||
\(354\) | 245.867 | − | 99.5405i | 0.0369144 | − | 0.0149450i | ||||
\(355\) | −2257.95 | − | 1685.15i | −0.337576 | − | 0.251940i | ||||
\(356\) | 222.705 | + | 125.425i | 0.0331555 | + | 0.0186728i | ||||
\(357\) | −4537.64 | + | 1189.91i | −0.672710 | + | 0.176405i | ||||
\(358\) | 1774.36 | + | 7773.99i | 0.261950 | + | 1.14768i | ||||
\(359\) | 3669.38 | − | 2738.53i | 0.539449 | − | 0.402601i | −0.293493 | − | 0.955961i | \(-0.594818\pi\) |
0.832942 | + | 0.553360i | \(0.186655\pi\) | |||||||
\(360\) | 1197.26 | + | 1318.31i | 0.175281 | + | 0.193004i | ||||
\(361\) | 419.728 | + | 526.323i | 0.0611938 | + | 0.0767346i | ||||
\(362\) | 4109.47 | + | 1364.44i | 0.596655 | + | 0.198103i | ||||
\(363\) | −5758.96 | + | 2331.54i | −0.832691 | + | 0.337119i | ||||
\(364\) | −217.476 | + | 2254.36i | −0.0313154 | + | 0.324617i | ||||
\(365\) | −1568.07 | + | 1726.62i | −0.224868 | + | 0.247604i | ||||
\(366\) | 3467.36 | + | 222.612i | 0.495196 | + | 0.0317926i | ||||
\(367\) | −8209.55 | − | 2152.80i | −1.16767 | − | 0.306199i | −0.381595 | − | 0.924330i | \(-0.624625\pi\) |
−0.786076 | + | 0.618130i | \(0.787890\pi\) | |||||||
\(368\) | 31.1234 | − | 322.626i | 0.00440874 | − | 0.0457012i | ||||
\(369\) | 1252.54 | − | 2829.51i | 0.176706 | − | 0.399183i | ||||
\(370\) | −549.768 | + | 532.421i | −0.0772462 | + | 0.0748088i | ||||
\(371\) | 781.550 | + | 4834.16i | 0.109369 | + | 0.676489i | ||||
\(372\) | 2590.19 | − | 7038.37i | 0.361008 | − | 0.980974i | ||||
\(373\) | −2850.70 | + | 4702.52i | −0.395720 | + | 0.652781i | −0.988264 | − | 0.152757i | \(-0.951185\pi\) |
0.592544 | + | 0.805538i | \(0.298124\pi\) | |||||||
\(374\) | −804.735 | + | 387.540i | −0.111262 | + | 0.0535808i | ||||
\(375\) | 5621.04 | + | 2706.95i | 0.774051 | + | 0.372763i | ||||
\(376\) | −1818.25 | − | 6126.30i | −0.249386 | − | 0.840266i | ||||
\(377\) | 793.253 | + | 768.223i | 0.108368 | + | 0.104948i | ||||
\(378\) | 2620.85 | + | 687.267i | 0.356619 | + | 0.0935164i | ||||
\(379\) | −317.138 | + | 9889.54i | −0.0429823 | + | 1.34035i | 0.720021 | + | 0.693952i | \(0.244132\pi\) |
−0.763003 | + | 0.646395i | \(0.776276\pi\) | |||||||
\(380\) | 1541.90 | 0.208152 | ||||||||
\(381\) | −105.645 | + | 3294.39i | −0.0142056 | + | 0.442984i | ||||
\(382\) | 4748.82 | − | 5228.98i | 0.636049 | − | 0.700361i | ||||
\(383\) | 3146.04 | − | 10600.0i | 0.419726 | − | 1.41420i | −0.437483 | − | 0.899227i | \(-0.644130\pi\) |
0.857209 | − | 0.514969i | \(-0.172196\pi\) | |||||||
\(384\) | −4157.17 | + | 2341.27i | −0.552460 | + | 0.311140i | ||||
\(385\) | 805.986 | + | 2190.13i | 0.106693 | + | 0.289920i | ||||
\(386\) | −6737.61 | − | 1312.15i | −0.888434 | − | 0.173023i | ||||
\(387\) | 6046.16 | − | 388.176i | 0.794170 | − | 0.0509874i | ||||
\(388\) | 837.974 | − | 1050.79i | 0.109643 | − | 0.137489i | ||||
\(389\) | 11258.7 | − | 7328.59i | 1.46745 | − | 0.955204i | 0.470087 | − | 0.882620i | \(-0.344222\pi\) |
0.997362 | − | 0.0725837i | \(-0.0231244\pi\) | |||||||
\(390\) | 827.158 | + | 106.650i | 0.107397 | + | 0.0138473i | ||||
\(391\) | −663.917 | + | 951.776i | −0.0858715 | + | 0.123103i | ||||
\(392\) | 11887.1 | + | 763.176i | 1.53160 | + | 0.0983322i | ||||
\(393\) | −12495.4 | −1.60385 | ||||||||
\(394\) | 4756.52 | + | 1897.74i | 0.608198 | + | 0.242657i | ||||
\(395\) | 2918.49 | 0.371760 | ||||||||
\(396\) | 1842.33 | + | 118.282i | 0.233789 | + | 0.0150098i | ||||
\(397\) | −7753.80 | + | 11115.7i | −0.980232 | + | 1.40524i | −0.0670192 | + | 0.997752i | \(0.521349\pi\) |
−0.913212 | + | 0.407484i | \(0.866406\pi\) | |||||||
\(398\) | 2468.75 | + | 318.310i | 0.310923 | + | 0.0400891i | ||||
\(399\) | −14527.5 | + | 9456.35i | −1.82277 | + | 1.18649i | ||||
\(400\) | 449.448 | − | 563.590i | 0.0561810 | − | 0.0704488i | ||||
\(401\) | 6800.15 | − | 436.584i | 0.846842 | − | 0.0543690i | 0.365404 | − | 0.930849i | \(-0.380931\pi\) |
0.481438 | + | 0.876480i | \(0.340115\pi\) | |||||||
\(402\) | 3548.14 | + | 690.999i | 0.440211 | + | 0.0857311i | ||||
\(403\) | −1406.53 | − | 3822.00i | −0.173857 | − | 0.472425i | ||||
\(404\) | 5488.83 | − | 3091.25i | 0.675939 | − | 0.380682i | ||||
\(405\) | −965.833 | + | 3254.21i | −0.118500 | + | 0.399267i | ||||
\(406\) | 2371.10 | − | 2610.84i | 0.289842 | − | 0.319148i | ||||
\(407\) | −69.9466 | + | 2181.19i | −0.00851873 | + | 0.265645i | ||||
\(408\) | −3735.65 | −0.453290 | ||||||||
\(409\) | 136.283 | − | 4249.80i | 0.0164762 | − | 0.513788i | −0.957670 | − | 0.287869i | \(-0.907053\pi\) |
0.974146 | − | 0.225919i | \(-0.0725385\pi\) | |||||||
\(410\) | 1095.41 | + | 287.249i | 0.131947 | + | 0.0346005i | ||||
\(411\) | 2297.18 | + | 2224.70i | 0.275698 | + | 0.266998i | ||||
\(412\) | −2516.77 | − | 8479.83i | −0.300952 | − | 1.01401i | ||||
\(413\) | 552.147 | + | 265.900i | 0.0657854 | + | 0.0316806i | ||||
\(414\) | −1622.18 | + | 781.202i | −0.192575 | + | 0.0927391i | ||||
\(415\) | 407.016 | − | 671.416i | 0.0481437 | − | 0.0794181i | ||||
\(416\) | −1019.32 | + | 2769.83i | −0.120136 | + | 0.326447i | ||||
\(417\) | −1536.76 | − | 9505.39i | −0.180468 | − | 1.11626i | ||||
\(418\) | −2370.87 | + | 2296.06i | −0.277424 | + | 0.268670i | ||||
\(419\) | −2276.20 | + | 5141.97i | −0.265393 | + | 0.599527i | −0.996579 | − | 0.0826515i | \(-0.973661\pi\) |
0.731186 | + | 0.682178i | \(0.238967\pi\) | |||||||
\(420\) | −340.731 | + | 3532.03i | −0.0395856 | + | 0.410346i | ||||
\(421\) | −9695.52 | − | 2542.46i | −1.12240 | − | 0.294328i | −0.354601 | − | 0.935018i | \(-0.615383\pi\) |
−0.767800 | + | 0.640690i | \(0.778648\pi\) | |||||||
\(422\) | −6747.38 | − | 433.196i | −0.778334 | − | 0.0499707i | ||||
\(423\) | −3631.02 | + | 3998.16i | −0.417368 | + | 0.459568i | ||||
\(424\) | −374.451 | + | 3881.58i | −0.0428890 | + | 0.444589i | ||||
\(425\) | −2392.27 | + | 968.521i | −0.273040 | + | 0.110542i | ||||
\(426\) | 8702.66 | + | 2889.48i | 0.989777 | + | 0.328629i | ||||
\(427\) | 5005.03 | + | 6276.11i | 0.567237 | + | 0.711293i | ||||
\(428\) | 2108.05 | + | 2321.20i | 0.238076 | + | 0.262148i | ||||
\(429\) | 1905.89 | − | 1422.41i | 0.214493 | − | 0.160080i | ||||
\(430\) | 493.390 | + | 2161.68i | 0.0553335 | + | 0.242432i | ||||
\(431\) | 10602.0 | − | 2780.17i | 1.18487 | − | 0.310710i | 0.391923 | − | 0.919998i | \(-0.371810\pi\) |
0.792949 | + | 0.609288i | \(0.208545\pi\) | |||||||
\(432\) | 286.030 | + | 161.089i | 0.0318556 | + | 0.0179407i | ||||
\(433\) | −2463.35 | − | 1838.44i | −0.273397 | − | 0.204041i | 0.452647 | − | 0.891690i | \(-0.350480\pi\) |
−0.726044 | + | 0.687648i | \(0.758643\pi\) | |||||||
\(434\) | −12056.5 | + | 4881.14i | −1.33348 | + | 0.539867i | ||||
\(435\) | 1242.83 | + | 1203.62i | 0.136987 | + | 0.132664i | ||||
\(436\) | −2113.10 | + | 3029.29i | −0.232109 | + | 0.332745i | ||||
\(437\) | −1220.07 | + | 4110.81i | −0.133555 | + | 0.449992i | ||||
\(438\) | 3072.76 | − | 6941.41i | 0.335210 | − | 0.757246i | ||||
\(439\) | 334.796 | + | 249.865i | 0.0363985 | + | 0.0271649i | 0.616156 | − | 0.787624i | \(-0.288689\pi\) |
−0.579757 | + | 0.814789i | \(0.696853\pi\) | |||||||
\(440\) | 178.451 | + | 1849.84i | 0.0193349 | + | 0.200426i | ||||
\(441\) | −4656.41 | − | 8925.48i | −0.502798 | − | 0.963770i | ||||
\(442\) | −561.548 | + | 478.053i | −0.0604302 | + | 0.0514449i | ||||
\(443\) | 4271.86 | − | 550.795i | 0.458154 | − | 0.0590724i | 0.104657 | − | 0.994508i | \(-0.466625\pi\) |
0.353496 | + | 0.935436i | \(0.384993\pi\) | |||||||
\(444\) | −1534.80 | + | 2941.92i | −0.164050 | + | 0.314454i | ||||
\(445\) | 213.446 | − | 41.5687i | 0.0227378 | − | 0.00442819i | ||||
\(446\) | 301.630 | − | 1865.69i | 0.0320237 | − | 0.198078i | ||||
\(447\) | −341.589 | − | 3540.93i | −0.0361445 | − | 0.374676i | ||||
\(448\) | 10402.2 | + | 3453.78i | 1.09701 | + | 0.364231i | ||||
\(449\) | 1383.30 | + | 4660.80i | 0.145394 | + | 0.489881i | 0.999546 | − | 0.0301433i | \(-0.00959636\pi\) |
−0.854151 | + | 0.520024i | \(0.825923\pi\) | |||||||
\(450\) | −3971.45 | − | 512.062i | −0.416035 | − | 0.0536418i | ||||
\(451\) | 2813.63 | − | 1584.60i | 0.293766 | − | 0.165446i | ||||
\(452\) | 6968.95 | − | 6749.05i | 0.725203 | − | 0.702320i | ||||
\(453\) | 1352.52 | + | 761.725i | 0.140280 | + | 0.0790044i | ||||
\(454\) | −275.472 | + | 1703.89i | −0.0284770 | + | 0.176140i | ||||
\(455\) | 1102.40 | + | 1580.37i | 0.113585 | + | 0.162833i | ||||
\(456\) | −13100.5 | + | 4349.66i | −1.34537 | + | 0.446692i | ||||
\(457\) | 20.9018 | + | 47.2175i | 0.00213948 | + | 0.00483313i | 0.915479 | − | 0.402365i | \(-0.131812\pi\) |
−0.913340 | + | 0.407198i | \(0.866506\pi\) | |||||||
\(458\) | −8912.84 | − | 3608.41i | −0.909323 | − | 0.368144i | ||||
\(459\) | −609.272 | − | 1005.06i | −0.0619573 | − | 0.102205i | ||||
\(460\) | 502.202 | + | 719.944i | 0.0509028 | + | 0.0729730i | ||||
\(461\) | 3522.20 | + | 6751.39i | 0.355846 | + | 0.682090i | 0.996303 | − | 0.0859033i | \(-0.0273776\pi\) |
−0.640457 | + | 0.767994i | \(0.721255\pi\) | |||||||
\(462\) | −4735.67 | − | 5938.34i | −0.476890 | − | 0.598002i | ||||
\(463\) | 4821.36 | + | 2321.85i | 0.483947 | + | 0.233057i | 0.659917 | − | 0.751339i | \(-0.270592\pi\) |
−0.175969 | + | 0.984396i | \(0.556306\pi\) | |||||||
\(464\) | 358.119 | − | 233.110i | 0.0358303 | − | 0.0233229i | ||||
\(465\) | −2203.69 | − | 5988.13i | −0.219771 | − | 0.597189i | ||||
\(466\) | 778.907 | + | 4817.82i | 0.0774296 | + | 0.478929i | ||||
\(467\) | −4242.37 | + | 1112.48i | −0.420371 | + | 0.110234i | −0.457779 | − | 0.889066i | \(-0.651355\pi\) |
0.0374084 | + | 0.999300i | \(0.488090\pi\) | |||||||
\(468\) | 1496.17 | − | 291.380i | 0.147779 | − | 0.0287800i | ||||
\(469\) | 4329.40 | + | 7141.80i | 0.426254 | + | 0.703151i | ||||
\(470\) | −1656.54 | − | 1078.29i | −0.162576 | − | 0.105825i | ||||
\(471\) | −4261.72 | + | 18671.8i | −0.416921 | + | 1.82665i | ||||
\(472\) | 371.603 | + | 316.350i | 0.0362382 | + | 0.0308500i | ||||
\(473\) | 5298.86 | + | 3449.18i | 0.515099 | + | 0.335293i | ||||
\(474\) | −9014.73 | + | 2993.10i | −0.873545 | + | 0.290037i | ||||
\(475\) | −7261.68 | + | 6181.96i | −0.701450 | + | 0.597153i | ||||
\(476\) | −2109.50 | − | 2322.79i | −0.203127 | − | 0.223666i | ||||
\(477\) | 2969.37 | − | 1429.97i | 0.285028 | − | 0.137262i | ||||
\(478\) | 7.88271 | − | 9.88460i | 0.000754281 | − | 0.000945839i | ||||
\(479\) | 1594.97 | + | 310.621i | 0.152142 | + | 0.0296297i | 0.266655 | − | 0.963792i | \(-0.414082\pi\) |
−0.114512 | + | 0.993422i | \(0.536531\pi\) | |||||||
\(480\) | −1597.03 | + | 4339.64i | −0.151862 | + | 0.412659i | ||||
\(481\) | 400.952 | + | 1756.69i | 0.0380080 | + | 0.166524i | ||||
\(482\) | −4439.31 | + | 8509.32i | −0.419512 | + | 0.804126i | ||||
\(483\) | −9147.01 | − | 3703.21i | −0.861705 | − | 0.348866i | ||||
\(484\) | −3164.36 | − | 2693.86i | −0.297179 | − | 0.252992i | ||||
\(485\) | −36.6496 | − | 1142.87i | −0.00343129 | − | 0.107000i | ||||
\(486\) | −273.899 | − | 8541.17i | −0.0255644 | − | 0.797192i | ||||
\(487\) | −2250.35 | + | 9859.44i | −0.209391 | + | 0.917400i | 0.755583 | + | 0.655053i | \(0.227354\pi\) |
−0.964974 | + | 0.262347i | \(0.915503\pi\) | |||||||
\(488\) | 2587.59 | + | 5845.40i | 0.240030 | + | 0.542232i | ||||
\(489\) | 2249.04 | − | 289.982i | 0.207986 | − | 0.0268168i | ||||
\(490\) | 2952.62 | − | 2203.60i | 0.272216 | − | 0.203160i | ||||
\(491\) | 6409.28 | − | 10572.8i | 0.589097 | − | 0.971777i | −0.409143 | − | 0.912470i | \(-0.634172\pi\) |
0.998240 | − | 0.0593070i | \(-0.0188891\pi\) | |||||||
\(492\) | 4899.85 | − | 314.581i | 0.448988 | − | 0.0288260i | ||||
\(493\) | −1526.73 | + | 98.0195i | −0.139474 | + | 0.00895451i | ||||
\(494\) | −1412.66 | + | 2330.32i | −0.128661 | + | 0.212239i | ||||
\(495\) | 1258.74 | − | 939.423i | 0.114295 | − | 0.0853009i | ||||
\(496\) | −1562.98 | + | 201.523i | −0.141491 | + | 0.0182433i | ||||
\(497\) | 8575.67 | + | 19372.6i | 0.773987 | + | 1.74845i | ||||
\(498\) | −568.626 | + | 2491.31i | −0.0511661 | + | 0.224173i | ||||
\(499\) | 276.787 | + | 8631.24i | 0.0248310 | + | 0.774323i | 0.933870 | + | 0.357612i | \(0.116409\pi\) |
−0.909039 | + | 0.416711i | \(0.863183\pi\) | |||||||
\(500\) | 133.752 | + | 4170.88i | 0.0119631 | + | 0.373055i | ||||
\(501\) | −17477.4 | − | 14878.7i | −1.55855 | − | 1.32681i | ||||
\(502\) | 9490.94 | + | 3842.46i | 0.843827 | + | 0.341628i | ||||
\(503\) | 7045.44 | − | 13504.8i | 0.624534 | − | 1.19712i | −0.341787 | − | 0.939777i | \(-0.611032\pi\) |
0.966321 | − | 0.257338i | \(-0.0828454\pi\) | |||||||
\(504\) | −2979.77 | − | 13055.2i | −0.263353 | − | 1.15382i | ||||
\(505\) | 1850.97 | − | 5029.69i | 0.163103 | − | 0.443205i | ||||
\(506\) | −1844.28 | − | 359.173i | −0.162032 | − | 0.0315557i | ||||
\(507\) | −8134.18 | + | 10199.9i | −0.712528 | + | 0.893482i | ||||
\(508\) | −1986.33 | + | 956.568i | −0.173483 | + | 0.0835449i | ||||
\(509\) | −9164.87 | − | 10091.5i | −0.798086 | − | 0.878782i | 0.196731 | − | 0.980457i | \(-0.436967\pi\) |
−0.994818 | + | 0.101676i | \(0.967580\pi\) | |||||||
\(510\) | −879.808 | + | 748.991i | −0.0763893 | + | 0.0650312i | ||||
\(511\) | 16645.0 | − | 5526.51i | 1.44096 | − | 0.478431i | ||||
\(512\) | 1981.12 | + | 1289.57i | 0.171004 | + | 0.111311i | ||||
\(513\) | −3306.90 | − | 2815.21i | −0.284607 | − | 0.242289i | ||||
\(514\) | −415.288 | + | 1819.50i | −0.0356373 | + | 0.156137i | ||||
\(515\) | −6307.07 | − | 4105.45i | −0.539656 | − | 0.351277i | ||||
\(516\) | 4983.54 | + | 8220.88i | 0.425171 | + | 0.701364i | ||||
\(517\) | −5532.25 | + | 1077.41i | −0.470616 | + | 0.0916524i | ||||
\(518\) | 5566.61 | − | 1459.74i | 0.472168 | − | 0.123817i | ||||
\(519\) | 1458.11 | + | 9018.95i | 0.123322 | + | 0.762790i | ||||
\(520\) | 529.941 | + | 1440.02i | 0.0446913 | + | 0.121441i | ||||
\(521\) | −9877.36 | + | 6429.45i | −0.830585 | + | 0.540651i | −0.889141 | − | 0.457633i | \(-0.848697\pi\) |
0.0585561 | + | 0.998284i | \(0.481350\pi\) | |||||||
\(522\) | −2138.58 | − | 1029.89i | −0.179317 | − | 0.0863544i | ||||
\(523\) | −4218.78 | − | 5290.18i | −0.352723 | − | 0.442301i | 0.573540 | − | 0.819177i | \(-0.305570\pi\) |
−0.926264 | + | 0.376876i | \(0.876998\pi\) | |||||||
\(524\) | −3865.83 | − | 7410.07i | −0.322289 | − | 0.617768i | ||||
\(525\) | −12556.3 | − | 18000.4i | −1.04381 | − | 1.49639i | ||||
\(526\) | 1772.44 | + | 2923.83i | 0.146924 | + | 0.242367i | ||||
\(527\) | 5229.88 | + | 2117.34i | 0.432290 | + | 0.175015i | ||||
\(528\) | −372.500 | − | 841.484i | −0.0307026 | − | 0.0693578i | ||||
\(529\) | 9230.36 | − | 3064.69i | 0.758639 | − | 0.251886i | ||||
\(530\) | 690.059 | + | 989.252i | 0.0565552 | + | 0.0810761i | ||||
\(531\) | 65.8276 | − | 407.167i | 0.00537980 | − | 0.0332760i | ||||
\(532\) | −10102.3 | − | 5689.53i | −0.823293 | − | 0.463670i | ||||
\(533\) | 1915.27 | − | 1854.84i | 0.155646 | − | 0.150735i | ||||
\(534\) | −616.669 | + | 347.301i | −0.0499735 | + | 0.0281446i | ||||
\(535\) | 2645.79 | + | 341.137i | 0.213809 | + | 0.0275676i | ||||
\(536\) | 1892.29 | + | 6375.77i | 0.152490 | + | 0.513790i | ||||
\(537\) | 27915.3 | + | 9268.51i | 2.24326 | + | 0.744815i | ||||
\(538\) | 278.968 | + | 2891.79i | 0.0223553 | + | 0.231736i | ||||
\(539\) | 1676.71 | − | 10371.0i | 0.133990 | − | 0.828778i | ||||
\(540\) | −872.637 | + | 169.946i | −0.0695413 | + | 0.0135432i | ||||
\(541\) | 7474.04 | − | 14326.3i | 0.593963 | − | 1.13852i | −0.382727 | − | 0.923862i | \(-0.625015\pi\) |
0.976690 | − | 0.214655i | \(-0.0688627\pi\) | |||||||
\(542\) | −1331.26 | + | 171.647i | −0.105503 | + | 0.0136031i | ||||
\(543\) | 12162.2 | − | 10353.8i | 0.961197 | − | 0.818279i | ||||
\(544\) | −1891.30 | − | 3625.27i | −0.149060 | − | 0.285721i | ||||
\(545\) | 301.739 | + | 3127.84i | 0.0237157 | + | 0.245838i | ||||
\(546\) | −5025.90 | − | 3750.93i | −0.393935 | − | 0.294001i | ||||
\(547\) | −1548.44 | + | 3497.96i | −0.121036 | + | 0.273422i | −0.964653 | − | 0.263523i | \(-0.915116\pi\) |
0.843617 | + | 0.536945i | \(0.180422\pi\) | |||||||
\(548\) | −608.595 | + | 2050.56i | −0.0474414 | + | 0.159846i | ||||
\(549\) | 3090.95 | − | 4431.11i | 0.240289 | − | 0.344472i | ||||
\(550\) | −3001.82 | − | 2907.10i | −0.232724 | − | 0.225381i | ||||
\(551\) | −5239.94 | + | 2121.42i | −0.405134 | + | 0.164021i | ||||
\(552\) | −6297.82 | − | 4700.19i | −0.485603 | − | 0.362415i | ||||
\(553\) | −19121.6 | − | 10769.1i | −1.47040 | − | 0.828115i | ||||
\(554\) | −11904.6 | + | 3121.74i | −0.912954 | + | 0.239405i | ||||
\(555\) | 628.194 | + | 2752.30i | 0.0480457 | + | 0.210502i | ||||
\(556\) | 5161.47 | − | 3852.10i | 0.393696 | − | 0.293823i | ||||
\(557\) | −969.247 | − | 1067.25i | −0.0737312 | − | 0.0811863i | 0.702299 | − | 0.711883i | \(-0.252157\pi\) |
−0.776030 | + | 0.630696i | \(0.782769\pi\) | |||||||
\(558\) | 5458.09 | + | 6844.23i | 0.414085 | + | 0.519246i | ||||
\(559\) | 4954.38 | + | 1644.97i | 0.374862 | + | 0.124463i | ||||
\(560\) | 691.125 | − | 279.806i | 0.0521524 | − | 0.0211142i | ||||
\(561\) | −316.372 | + | 3279.52i | −0.0238097 | + | 0.246812i | ||||
\(562\) | −10148.1 | + | 11174.2i | −0.761692 | + | 0.838708i | ||||
\(563\) | 131.973 | + | 8.47294i | 0.00987921 | + | 0.000634266i | 0.0690090 | − | 0.997616i | \(-0.478016\pi\) |
−0.0591298 | + | 0.998250i | \(0.518833\pi\) | |||||||
\(564\) | −8289.55 | − | 2173.78i | −0.618889 | − | 0.162292i | ||||
\(565\) | 792.549 | − | 8215.60i | 0.0590138 | − | 0.611739i | ||||
\(566\) | −2001.34 | + | 4521.07i | −0.148627 | + | 0.335750i | ||||
\(567\) | 18335.9 | − | 17757.3i | 1.35809 | − | 1.31523i | ||||
\(568\) | 2692.61 | + | 16654.7i | 0.198907 | + | 1.23031i | ||||
\(569\) | 7015.34 | − | 19063.0i | 0.516869 | − | 1.40450i | −0.364115 | − | 0.931354i | \(-0.618628\pi\) |
0.880984 | − | 0.473146i | \(-0.156882\pi\) | |||||||
\(570\) | −2213.28 | + | 3651.04i | −0.162639 | + | 0.268290i | ||||
\(571\) | 23560.0 | − | 11345.9i | 1.72672 | − | 0.831542i | 0.739303 | − | 0.673373i | \(-0.235155\pi\) |
0.987412 | − | 0.158170i | \(-0.0505592\pi\) | |||||||
\(572\) | 1433.16 | + | 690.175i | 0.104761 | + | 0.0504505i | ||||
\(573\) | −7413.53 | − | 24978.7i | −0.540497 | − | 1.82111i | ||||
\(574\) | −6117.02 | − | 5924.00i | −0.444807 | − | 0.430772i | ||||
\(575\) | −5251.64 | − | 1377.14i | −0.380884 | − | 0.0998796i | ||||
\(576\) | 236.436 | − | 7372.96i | 0.0171033 | − | 0.533345i | ||||
\(577\) | 12295.2 | 0.887096 | 0.443548 | − | 0.896251i | \(-0.353720\pi\) | ||||
0.443548 | + | 0.896251i | \(0.353720\pi\) | |||||||
\(578\) | −258.902 | + | 8073.53i | −0.0186314 | + | 0.580994i | ||||
\(579\) | −17022.8 | + | 18744.0i | −1.22184 | + | 1.34538i | ||||
\(580\) | −329.265 | + | 1109.40i | −0.0235724 | + | 0.0794231i | ||||
\(581\) | −5144.20 | + | 2897.16i | −0.367328 | + | 0.206875i | ||||
\(582\) | 1285.29 | + | 3492.55i | 0.0915413 | + | 0.248747i | ||||
\(583\) | 3375.91 | + | 657.459i | 0.239822 | + | 0.0467053i | ||||
\(584\) | 13937.8 | − | 894.834i | 0.987583 | − | 0.0634050i | ||||
\(585\) | 808.564 | − | 1013.91i | 0.0571453 | − | 0.0716579i | ||||
\(586\) | 13697.1 | − | 8915.82i | 0.965566 | − | 0.628514i | ||||
\(587\) | 18030.8 | + | 2324.82i | 1.26782 | + | 0.163468i | 0.732259 | − | 0.681026i | \(-0.238466\pi\) |
0.535565 | + | 0.844494i | \(0.320099\pi\) | |||||||
\(588\) | 9138.93 | − | 13101.3i | 0.640958 | − | 0.918861i | ||||
\(589\) | 20805.9 | + | 1335.78i | 1.45551 | + | 0.0934466i | ||||
\(590\) | 150.946 | 0.0105328 | ||||||||
\(591\) | 15081.8 | − | 11375.1i | 1.04971 | − | 0.791723i | ||||
\(592\) | 697.242 | 0.0484062 | ||||||||
\(593\) | 7927.29 | + | 508.949i | 0.548963 | + | 0.0352446i | 0.336080 | − | 0.941833i | \(-0.390899\pi\) |
0.212882 | + | 0.977078i | \(0.431715\pi\) | |||||||
\(594\) | 1088.72 | − | 1560.77i | 0.0752036 | − | 0.107810i | ||||
\(595\) | −2647.61 | − | 341.371i | −0.182423 | − | 0.0235208i | ||||
\(596\) | 1994.17 | − | 1298.06i | 0.137054 | − | 0.0892124i | ||||
\(597\) | 5724.87 | − | 7178.76i | 0.392468 | − | 0.492139i | ||||
\(598\) | −1548.18 | + | 99.3966i | −0.105869 | + | 0.00679704i | ||||
\(599\) | 16338.8 | + | 3181.98i | 1.11450 | + | 0.217049i | 0.714616 | − | 0.699517i | \(-0.246601\pi\) |
0.399884 | + | 0.916566i | \(0.369050\pi\) | |||||||
\(600\) | −6036.03 | − | 16401.8i | −0.410700 | − | 1.11600i | ||||
\(601\) | 11245.7 | − | 6333.48i | 0.763266 | − | 0.429863i | −0.0595110 | − | 0.998228i | \(-0.518954\pi\) |
0.822777 | + | 0.568364i | \(0.192424\pi\) | |||||||
\(602\) | 4743.87 | − | 15983.7i | 0.321172 | − | 1.08213i | ||||
\(603\) | 3778.88 | − | 4160.97i | 0.255204 | − | 0.281008i | ||||
\(604\) | −33.2782 | + | 1037.74i | −0.00224184 | + | 0.0699088i | ||||
\(605\) | −3535.62 | −0.237593 | ||||||||
\(606\) | −559.080 | + | 17434.2i | −0.0374770 | + | 1.16867i | ||||
\(607\) | −26547.4 | − | 6961.55i | −1.77517 | − | 0.465503i | −0.786750 | − | 0.617271i | \(-0.788238\pi\) |
−0.988416 | + | 0.151768i | \(0.951503\pi\) | |||||||
\(608\) | −10853.7 | − | 10511.2i | −0.723974 | − | 0.701130i | ||||
\(609\) | −3701.60 | − | 12471.9i | −0.246299 | − | 0.829865i | ||||
\(610\) | 1781.41 | + | 857.883i | 0.118241 | + | 0.0569421i | ||||
\(611\) | −4192.76 | + | 2019.13i | −0.277612 | + | 0.133691i | ||||
\(612\) | −1094.72 | + | 1805.86i | −0.0723065 | + | 0.119277i | ||||
\(613\) | 1006.02 | − | 2733.68i | 0.0662851 | − | 0.180118i | −0.900995 | − | 0.433830i | \(-0.857162\pi\) |
0.967280 | + | 0.253712i | \(0.0816516\pi\) | |||||||
\(614\) | −634.991 | − | 3927.64i | −0.0417364 | − | 0.258154i | ||||
\(615\) | 3000.76 | − | 2906.07i | 0.196751 | − | 0.190543i | ||||
\(616\) | 5656.60 | − | 12778.4i | 0.369985 | − | 0.835803i | ||||
\(617\) | −1280.97 | + | 13278.6i | −0.0835818 | + | 0.866413i | 0.854374 | + | 0.519658i | \(0.173941\pi\) |
−0.937956 | + | 0.346754i | \(0.887284\pi\) | |||||||
\(618\) | 23691.9 | + | 6212.74i | 1.54212 | + | 0.404390i | ||||
\(619\) | −16272.9 | − | 1044.75i | −1.05664 | − | 0.0678386i | −0.473966 | − | 0.880543i | \(-0.657178\pi\) |
−0.582676 | + | 0.812705i | \(0.697994\pi\) | |||||||
\(620\) | 2869.32 | − | 3159.44i | 0.185862 | − | 0.204655i | ||||
\(621\) | 237.408 | − | 2460.98i | 0.0153411 | − | 0.159027i | ||||
\(622\) | 3748.53 | − | 1517.61i | 0.241644 | − | 0.0978307i | ||||
\(623\) | −1551.86 | − | 515.252i | −0.0997976 | − | 0.0331351i | ||||
\(624\) | −473.738 | − | 594.048i | −0.0303921 | − | 0.0381105i | ||||
\(625\) | −6847.56 | − | 7539.92i | −0.438244 | − | 0.482555i | ||||
\(626\) | 591.308 | − | 441.305i | 0.0377531 | − | 0.0281758i | ||||
\(627\) | 2709.08 | + | 11869.3i | 0.172552 | + | 0.756002i | ||||
\(628\) | −12391.3 | + | 3249.38i | −0.787367 | + | 0.206472i | ||||
\(629\) | −2175.10 | − | 1224.99i | −0.137881 | − | 0.0776529i | ||||
\(630\) | −3319.34 | − | 2477.29i | −0.209914 | − | 0.156663i | ||||
\(631\) | −19501.6 | + | 7895.34i | −1.23035 | + | 0.498112i | −0.895880 | − | 0.444296i | \(-0.853454\pi\) |
−0.334465 | + | 0.942408i | \(0.608556\pi\) | |||||||
\(632\) | −12553.9 | − | 12157.7i | −0.790136 | − | 0.765204i | ||||
\(633\) | −14268.9 | + | 20455.6i | −0.895955 | + | 1.28442i | ||||
\(634\) | 2320.98 | − | 7820.14i | 0.145391 | − | 0.489870i | ||||
\(635\) | −759.249 | + | 1715.16i | −0.0474486 | + | 0.107187i | ||||
\(636\) | 4191.01 | + | 3127.83i | 0.261296 | + | 0.195010i | ||||
\(637\) | −832.922 | − | 8634.11i | −0.0518078 | − | 0.537042i | ||||
\(638\) | −1145.74 | − | 2196.16i | −0.0710974 | − | 0.136280i | ||||
\(639\) | 10857.1 | − | 9242.81i | 0.672146 | − | 0.572207i | ||||
\(640\) | −2692.79 | + | 347.197i | −0.166316 | + | 0.0214440i | ||||
\(641\) | −6494.10 | + | 12448.0i | −0.400158 | + | 0.767029i | −0.999438 | − | 0.0335109i | \(-0.989331\pi\) |
0.599280 | + | 0.800539i | \(0.295454\pi\) | |||||||
\(642\) | −8522.28 | + | 1659.71i | −0.523906 | + | 0.102031i | ||||
\(643\) | 669.537 | − | 4141.32i | 0.0410637 | − | 0.253994i | −0.958447 | − | 0.285270i | \(-0.907917\pi\) |
0.999511 | + | 0.0312769i | \(0.00995738\pi\) | |||||||
\(644\) | −633.808 | − | 6570.08i | −0.0387819 | − | 0.402015i | ||||
\(645\) | 7762.30 | + | 2577.26i | 0.473861 | + | 0.157333i | ||||
\(646\) | −1074.19 | − | 3619.31i | −0.0654234 | − | 0.220433i | ||||
\(647\) | −2567.40 | − | 331.029i | −0.156004 | − | 0.0201145i | 0.0494789 | − | 0.998775i | \(-0.484244\pi\) |
−0.205483 | + | 0.978661i | \(0.565877\pi\) | |||||||
\(648\) | 17710.8 | − | 9974.54i | 1.07368 | − | 0.604687i | ||||
\(649\) | 309.194 | − | 299.438i | 0.0187010 | − | 0.0181109i | ||||
\(650\) | −3006.29 | − | 1693.11i | −0.181410 | − | 0.102168i | ||||
\(651\) | −7657.59 | + | 47364.9i | −0.461021 | + | 2.85158i | ||||
\(652\) | 867.773 | + | 1244.02i | 0.0521236 | + | 0.0747231i | ||||
\(653\) | 1664.41 | − | 552.623i | 0.0997450 | − | 0.0331176i | −0.264800 | − | 0.964303i | \(-0.585306\pi\) |
0.364545 | + | 0.931186i | \(0.381224\pi\) | |||||||
\(654\) | −4139.81 | − | 9351.91i | −0.247522 | − | 0.559157i | ||||
\(655\) | −6591.06 | − | 2668.42i | −0.393181 | − | 0.159182i | ||||
\(656\) | −534.829 | − | 882.256i | −0.0318316 | − | 0.0525096i | ||||
\(657\) | −6753.15 | − | 9681.15i | −0.401013 | − | 0.574882i | ||||
\(658\) | 6874.61 | + | 13177.3i | 0.407295 | + | 0.780709i | ||||
\(659\) | −5663.70 | − | 7102.05i | −0.334789 | − | 0.419813i | 0.585732 | − | 0.810505i | \(-0.300807\pi\) |
−0.920521 | + | 0.390692i | \(0.872236\pi\) | |||||||
\(660\) | 2245.41 | + | 1081.33i | 0.132428 | + | 0.0637741i | ||||
\(661\) | −23784.9 | + | 15482.2i | −1.39958 | + | 0.911027i | −0.999984 | − | 0.00566348i | \(-0.998197\pi\) |
−0.399598 | + | 0.916690i | \(0.630850\pi\) | |||||||
\(662\) | 1275.67 | + | 3466.41i | 0.0748948 | + | 0.203513i | ||||
\(663\) | 434.170 | + | 2685.49i | 0.0254325 | + | 0.157309i | ||||
\(664\) | −4547.73 | + | 1192.56i | −0.265793 | + | 0.0696990i | ||||
\(665\) | −9682.34 | + | 1885.63i | −0.564609 | + | 0.109958i | ||||
\(666\) | −2007.80 | − | 3312.08i | −0.116818 | − | 0.192704i | ||||
\(667\) | −2697.20 | − | 1755.68i | −0.156576 | − | 0.101919i | ||||
\(668\) | 3416.27 | − | 14967.7i | 0.197873 | − | 0.866940i | ||||
\(669\) | −5308.35 | − | 4519.06i | −0.306775 | − | 0.261162i | ||||
\(670\) | 1724.00 | + | 1122.20i | 0.0994086 | + | 0.0647079i | ||||
\(671\) | 5350.81 | − | 1776.59i | 0.307848 | − | 0.102212i | ||||
\(672\) | 26476.5 | − | 22539.8i | 1.51987 | − | 1.29389i | ||||
\(673\) | 8659.31 | + | 9534.86i | 0.495976 | + | 0.546125i | 0.936064 | − | 0.351830i | \(-0.114440\pi\) |
−0.440088 | + | 0.897955i | \(0.645053\pi\) | |||||||
\(674\) | −12100.1 | + | 5827.12i | −0.691513 | + | 0.333015i | ||||
\(675\) | 3428.38 | − | 4299.05i | 0.195494 | − | 0.245141i | ||||
\(676\) | −8565.34 | − | 1668.10i | −0.487332 | − | 0.0949079i | ||||
\(677\) | −3732.69 | + | 10142.9i | −0.211904 | + | 0.575812i | −0.999167 | − | 0.0408054i | \(-0.987008\pi\) |
0.787263 | + | 0.616617i | \(0.211497\pi\) | |||||||
\(678\) | 5977.57 | + | 26189.4i | 0.338594 | + | 1.48348i | ||||
\(679\) | −3977.00 | + | 7623.17i | −0.224777 | + | 0.430855i | ||||
\(680\) | −1970.47 | − | 797.755i | −0.111124 | − | 0.0449890i | ||||
\(681\) | 4848.00 | + | 4127.16i | 0.272799 | + | 0.232237i | ||||
\(682\) | 292.807 | + | 9130.79i | 0.0164401 | + | 0.512663i | ||||
\(683\) | 547.754 | + | 17081.0i | 0.0306870 | + | 0.956934i | 0.892864 | + | 0.450327i | \(0.148693\pi\) |
−0.862177 | + | 0.506608i | \(0.830899\pi\) | |||||||
\(684\) | −1736.38 | + | 7607.60i | −0.0970648 | + | 0.425269i | ||||
\(685\) | 736.624 | + | 1664.05i | 0.0410875 | + | 0.0928174i | ||||
\(686\) | −9056.95 | + | 1167.76i | −0.504076 | + | 0.0649934i | ||||
\(687\) | −28425.7 | + | 21214.7i | −1.57861 | + | 1.17815i | ||||
\(688\) | 1047.17 | − | 1727.42i | 0.0580277 | − | 0.0957228i | ||||
\(689\) | 2833.91 | − | 181.943i | 0.156696 | − | 0.0100602i | ||||
\(690\) | −2425.62 | + | 155.730i | −0.133829 | + | 0.00859208i | ||||
\(691\) | −11377.4 | + | 18768.2i | −0.626364 | + | 1.03325i | 0.368263 | + | 0.929722i | \(0.379953\pi\) |
−0.994626 | + | 0.103530i | \(0.966986\pi\) | |||||||
\(692\) | −4897.33 | + | 3654.97i | −0.269030 | + | 0.200782i | ||||
\(693\) | −11713.5 | + | 1510.29i | −0.642078 | + | 0.0827868i | ||||
\(694\) | −1607.00 | − | 3630.25i | −0.0878977 | − | 0.198562i | ||||
\(695\) | 1219.29 | − | 5342.05i | 0.0665471 | − | 0.291562i | ||||
\(696\) | −332.055 | − | 10354.7i | −0.0180841 | − | 0.563927i | ||||
\(697\) | 118.392 | + | 3691.91i | 0.00643390 | + | 0.200633i | ||||
\(698\) | 18258.9 | + | 15544.0i | 0.990126 | + | 0.842906i | ||||
\(699\) | 16686.8 | + | 6755.73i | 0.902936 | + | 0.365558i | ||||
\(700\) | 6789.99 | − | 13015.1i | 0.366625 | − | 0.702751i | ||||
\(701\) | 3916.42 | + | 17158.9i | 0.211014 | + | 0.924514i | 0.963879 | + | 0.266339i | \(0.0858141\pi\) |
−0.752865 | + | 0.658175i | \(0.771329\pi\) | |||||||
\(702\) | 542.646 | − | 1474.55i | 0.0291750 | − | 0.0792780i | ||||
\(703\) | −9054.16 | − | 1763.30i | −0.485752 | − | 0.0946003i | ||||
\(704\) | 4799.70 | − | 6018.64i | 0.256954 | − | 0.322210i | ||||
\(705\) | −6569.03 | + | 3163.48i | −0.350928 | + | 0.168998i | ||||
\(706\) | −14703.6 | − | 16190.3i | −0.783821 | − | 0.863074i | ||||
\(707\) | −30686.6 | + | 26123.9i | −1.63237 | + | 1.38966i | ||||
\(708\) | 621.118 | − | 206.225i | 0.0329704 | − | 0.0109469i | ||||
\(709\) | −9015.10 | − | 5868.18i | −0.477531 | − | 0.310838i | 0.284162 | − | 0.958776i | \(-0.408285\pi\) |
−0.761693 | + | 0.647938i | \(0.775631\pi\) | |||||||
\(710\) | 3973.40 | + | 3382.60i | 0.210027 | + | 0.178798i | ||||
\(711\) | −3286.61 | + | 14399.6i | −0.173358 | + | 0.759530i | ||||
\(712\) | −1091.30 | − | 710.359i | −0.0574414 | − | 0.0373902i | ||||
\(713\) | 6152.85 | + | 10149.8i | 0.323178 | + | 0.533117i | ||||
\(714\) | 8528.12 | − | 1660.85i | 0.446999 | − | 0.0870530i | ||||
\(715\) | 1309.07 | − | 343.279i | 0.0684707 | − | 0.0179551i | ||||
\(716\) | 3139.98 | + | 19421.9i | 0.163892 | + | 1.01373i | ||||
\(717\) | −16.1066 | − | 43.7668i | −0.000838928 | − | 0.00227964i | ||||
\(718\) | −7107.07 | + | 4626.19i | −0.369406 | + | 0.240457i | ||||
\(719\) | −25332.2 | − | 12199.4i | −1.31395 | − | 0.632767i | −0.360066 | − | 0.932927i | \(-0.617246\pi\) |
−0.953889 | + | 0.300160i | \(0.902960\pi\) | |||||||
\(720\) | −312.879 | − | 392.337i | −0.0161949 | − | 0.0203077i | ||||
\(721\) | 26174.2 | + | 50171.1i | 1.35198 | + | 2.59150i | ||||
\(722\) | −713.328 | − | 1022.61i | −0.0367691 | − | 0.0527113i | ||||
\(723\) | 18352.9 | + | 30275.1i | 0.944056 | + | 1.55732i | ||||
\(724\) | 9902.79 | + | 4009.20i | 0.508335 | + | 0.205802i | ||||
\(725\) | −2897.24 | − | 6544.92i | −0.148415 | − | 0.335272i | ||||
\(726\) | 10921.0 | − | 3626.01i | 0.558285 | − | 0.185363i | ||||
\(727\) | −2557.79 | − | 3666.78i | −0.130486 | − | 0.187061i | 0.749579 | − | 0.661915i | \(-0.230256\pi\) |
−0.880065 | + | 0.474854i | \(0.842501\pi\) | |||||||
\(728\) | 1841.49 | − | 11390.3i | 0.0937504 | − | 0.579879i | ||||
\(729\) | −6925.55 | − | 3900.40i | −0.351854 | − | 0.198161i | ||||
\(730\) | 3103.16 | − | 3005.24i | 0.157333 | − | 0.152369i | ||||
\(731\) | −6301.66 | + | 3549.03i | −0.318844 | + | 0.179570i | ||||
\(732\) | 8502.26 | + | 1096.24i | 0.429307 | + | 0.0553530i | ||||
\(733\) | 9302.65 | + | 31343.7i | 0.468760 | + | 1.57941i | 0.777897 | + | 0.628391i | \(0.216286\pi\) |
−0.309137 | + | 0.951017i | \(0.600040\pi\) | |||||||
\(734\) | 14918.2 | + | 4953.20i | 0.750194 | + | 0.249082i | ||||
\(735\) | −1304.98 | − | 13527.5i | −0.0654899 | − | 0.678871i | ||||
\(736\) | 1372.82 | − | 8491.36i | 0.0687537 | − | 0.425266i | ||||
\(737\) | 5757.53 | − | 1121.28i | 0.287763 | − | 0.0560419i | ||||
\(738\) | −2650.83 | + | 5081.15i | −0.132220 | + | 0.253441i | ||||
\(739\) | −25277.6 | + | 3259.18i | −1.25826 | + | 0.162234i | −0.727984 | − | 0.685594i | \(-0.759542\pi\) |
−0.530271 | + | 0.847828i | \(0.677910\pi\) | |||||||
\(740\) | −1437.82 | + | 1224.04i | −0.0714263 | + | 0.0608061i | ||||
\(741\) | 4649.48 | + | 8912.18i | 0.230503 | + | 0.441831i | ||||
\(742\) | −870.894 | − | 9027.73i | −0.0430883 | − | 0.446655i | ||||
\(743\) | −11749.5 | − | 8768.89i | −0.580145 | − | 0.432974i | 0.267484 | − | 0.963562i | \(-0.413808\pi\) |
−0.847629 | + | 0.530589i | \(0.821971\pi\) | |||||||
\(744\) | −15466.0 | + | 34937.9i | −0.762111 | + | 1.72162i | ||||
\(745\) | 575.991 | − | 1940.71i | 0.0283257 | − | 0.0954388i | ||||
\(746\) | 5826.97 | − | 8353.40i | 0.285979 | − | 0.409973i | ||||
\(747\) | 2854.35 | + | 2764.28i | 0.139806 | + | 0.135395i | ||||
\(748\) | −2042.71 | + | 827.001i | −0.0998514 | + | 0.0404253i | ||||
\(749\) | −16076.1 | − | 11997.9i | −0.784257 | − | 0.585306i | ||||
\(750\) | −10068.1 | − | 5670.27i | −0.490182 | − | 0.276066i | ||||
\(751\) | 14165.8 | − | 3714.71i | 0.688305 | − | 0.180495i | 0.107095 | − | 0.994249i | \(-0.465845\pi\) |
0.581210 | + | 0.813754i | \(0.302580\pi\) | |||||||
\(752\) | 400.703 | + | 1755.60i | 0.0194311 | + | 0.0851330i | ||||
\(753\) | 30269.4 | − | 22590.7i | 1.46491 | − | 1.09329i | ||||
\(754\) | −1375.01 | − | 1514.04i | −0.0664123 | − | 0.0731273i | ||||
\(755\) | 550.756 | + | 690.626i | 0.0265484 | + | 0.0332907i | ||||
\(756\) | 6344.50 | + | 2106.52i | 0.305221 | + | 0.101340i | ||||
\(757\) | 23066.9 | − | 9338.75i | 1.10750 | − | 0.448379i | 0.252813 | − | 0.967515i | \(-0.418644\pi\) |
0.854691 | + | 0.519136i | \(0.173746\pi\) | |||||||
\(758\) | 1759.71 | − | 18241.2i | 0.0843211 | − | 0.874077i | ||||
\(759\) | −4659.64 | + | 5130.79i | −0.222838 | + | 0.245370i | ||||
\(760\) | −7839.09 | − | 503.286i | −0.374150 | − | 0.0240212i | ||||
\(761\) | 38667.5 | + | 10139.8i | 1.84191 | + | 0.483007i | 0.998525 | − | 0.0542952i | \(-0.0172912\pi\) |
0.843390 | + | 0.537302i | \(0.180556\pi\) | |||||||
\(762\) | 586.192 | − | 6076.49i | 0.0278681 | − | 0.288882i | ||||
\(763\) | 9564.59 | − | 21606.6i | 0.453816 | − | 1.02518i | ||||
\(764\) | 12519.3 | − | 12124.3i | 0.592844 | − | 0.574137i | ||||
\(765\) | 286.746 | + | 1773.63i | 0.0135521 | + | 0.0838243i |