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 | 6.19 | ||
Character | \(\chi\) | \(=\) | 197.6 |
Dual form | 197.4.e.a.33.19 |
$q$-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 \(\left(\mathbb{Z}/197\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{13}{14}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.69384 | + | 0.386608i | −0.598863 | + | 0.136686i | −0.511197 | − | 0.859463i | \(-0.670798\pi\) |
−0.0876655 | + | 0.996150i | \(0.527941\pi\) | |||||||
\(3\) | 8.91279 | + | 2.03429i | 1.71527 | + | 0.391498i | 0.963453 | − | 0.267878i | \(-0.0863223\pi\) |
0.751813 | + | 0.659376i | \(0.229179\pi\) | |||||||
\(4\) | −4.48812 | + | 2.16137i | −0.561016 | + | 0.270171i | ||||
\(5\) | 8.48300 | − | 17.6151i | 0.758742 | − | 1.57555i | −0.0578465 | − | 0.998325i | \(-0.518423\pi\) |
0.816589 | − | 0.577220i | \(-0.195862\pi\) | |||||||
\(6\) | −15.8833 | −1.08072 | ||||||||
\(7\) | 0.935927 | − | 4.10056i | 0.0505353 | − | 0.221410i | −0.943355 | − | 0.331786i | \(-0.892349\pi\) |
0.993890 | + | 0.110377i | \(0.0352058\pi\) | |||||||
\(8\) | 17.6334 | − | 14.0622i | 0.779293 | − | 0.621466i | ||||
\(9\) | 50.9733 | + | 24.5474i | 1.88790 | + | 0.909164i | ||||
\(10\) | −7.55869 | + | 33.1168i | −0.239027 | + | 1.04724i | ||||
\(11\) | −3.07930 | + | 0.702831i | −0.0844041 | + | 0.0192647i | −0.264514 | − | 0.964382i | \(-0.585212\pi\) |
0.180110 | + | 0.983646i | \(0.442355\pi\) | |||||||
\(12\) | −44.3985 | + | 10.1337i | −1.06806 | + | 0.243778i | ||||
\(13\) | −48.7737 | − | 38.8958i | −1.04057 | − | 0.829826i | −0.0548959 | − | 0.998492i | \(-0.517483\pi\) |
−0.985673 | + | 0.168666i | \(0.946054\pi\) | |||||||
\(14\) | 7.30753i | 0.139501i | ||||||||
\(15\) | 111.441 | − | 139.743i | 1.91827 | − | 2.40543i | ||||
\(16\) | 0.415436 | − | 0.520940i | 0.00649118 | − | 0.00813969i | ||||
\(17\) | 45.9395 | − | 95.3943i | 0.655409 | − | 1.36097i | −0.262790 | − | 0.964853i | \(-0.584643\pi\) |
0.918199 | − | 0.396118i | \(-0.129643\pi\) | |||||||
\(18\) | −95.8308 | − | 21.8727i | −1.25486 | − | 0.286414i | ||||
\(19\) | −72.3042 | −0.873038 | −0.436519 | − | 0.899695i | \(-0.643789\pi\) | ||||
−0.436519 | + | 0.899695i | \(0.643789\pi\) | |||||||
\(20\) | 97.3938i | 1.08890i | ||||||||
\(21\) | 16.6834 | − | 34.6435i | 0.173363 | − | 0.359992i | ||||
\(22\) | 4.94413 | − | 2.38097i | 0.0479132 | − | 0.0230738i | ||||
\(23\) | 15.3178 | + | 67.1116i | 0.138869 | + | 0.608423i | 0.995685 | + | 0.0928010i | \(0.0295820\pi\) |
−0.856816 | + | 0.515622i | \(0.827561\pi\) | |||||||
\(24\) | 185.769 | − | 89.4617i | 1.58000 | − | 0.760887i | ||||
\(25\) | −160.395 | − | 201.129i | −1.28316 | − | 1.60903i | ||||
\(26\) | 97.6523 | + | 47.0269i | 0.736584 | + | 0.354720i | ||||
\(27\) | 211.395 | + | 168.582i | 1.50678 | + | 1.20161i | ||||
\(28\) | 4.66226 | + | 20.4267i | 0.0314673 | + | 0.137867i | ||||
\(29\) | 40.8656 | + | 179.044i | 0.261674 | + | 1.14647i | 0.919435 | + | 0.393242i | \(0.128646\pi\) |
−0.657761 | + | 0.753227i | \(0.728496\pi\) | |||||||
\(30\) | −134.738 | + | 279.786i | −0.819989 | + | 1.70273i | ||||
\(31\) | 265.933 | − | 60.6974i | 1.54074 | − | 0.351664i | 0.633993 | − | 0.773339i | \(-0.281415\pi\) |
0.906747 | + | 0.421675i | \(0.138558\pi\) | |||||||
\(32\) | −78.7886 | + | 163.606i | −0.435250 | + | 0.903806i | ||||
\(33\) | −28.8749 | −0.152318 | ||||||||
\(34\) | −40.9339 | + | 179.343i | −0.206474 | + | 0.904621i | ||||
\(35\) | −64.2925 | − | 51.2715i | −0.310497 | − | 0.247613i | ||||
\(36\) | −281.830 | −1.30477 | ||||||||
\(37\) | −110.750 | − | 138.876i | −0.492084 | − | 0.617054i | 0.472339 | − | 0.881417i | \(-0.343410\pi\) |
−0.964423 | + | 0.264363i | \(0.914838\pi\) | |||||||
\(38\) | 122.472 | − | 27.9534i | 0.522830 | − | 0.119333i | ||||
\(39\) | −355.585 | − | 445.889i | −1.45998 | − | 1.83075i | ||||
\(40\) | −98.1227 | − | 429.904i | −0.387864 | − | 1.69934i | ||||
\(41\) | 403.719 | + | 194.421i | 1.53781 | + | 0.740571i | 0.995056 | − | 0.0993192i | \(-0.0316665\pi\) |
0.542756 | + | 0.839890i | \(0.317381\pi\) | |||||||
\(42\) | −14.8656 | + | 65.1305i | −0.0546146 | + | 0.239282i | ||||
\(43\) | 79.8688 | + | 349.928i | 0.283253 | + | 1.24101i | 0.893595 | + | 0.448874i | \(0.148175\pi\) |
−0.610342 | + | 0.792138i | \(0.708968\pi\) | |||||||
\(44\) | 12.3012 | − | 9.80990i | 0.0421473 | − | 0.0336113i | ||||
\(45\) | 864.812 | − | 689.665i | 2.86486 | − | 2.28465i | ||||
\(46\) | −51.8917 | − | 107.754i | −0.166326 | − | 0.345380i | ||||
\(47\) | −82.9105 | − | 103.966i | −0.257313 | − | 0.322661i | 0.636348 | − | 0.771402i | \(-0.280444\pi\) |
−0.893662 | + | 0.448741i | \(0.851873\pi\) | |||||||
\(48\) | 4.76243 | − | 3.79791i | 0.0143208 | − | 0.0114204i | ||||
\(49\) | 293.094 | + | 141.146i | 0.854500 | + | 0.411506i | ||||
\(50\) | 349.442 | + | 278.671i | 0.988371 | + | 0.788200i | ||||
\(51\) | 603.508 | − | 756.775i | 1.65702 | − | 2.07784i | ||||
\(52\) | 302.971 | + | 69.1511i | 0.807970 | + | 0.184414i | ||||
\(53\) | 52.0533 | − | 25.0675i | 0.134907 | − | 0.0649678i | −0.365213 | − | 0.930924i | \(-0.619004\pi\) |
0.500120 | + | 0.865956i | \(0.333289\pi\) | |||||||
\(54\) | −423.244 | − | 203.824i | −1.06660 | − | 0.513646i | ||||
\(55\) | −13.7413 | + | 60.2045i | −0.0336886 | + | 0.147599i | ||||
\(56\) | −41.1592 | − | 85.4680i | −0.0982166 | − | 0.203949i | ||||
\(57\) | −644.432 | − | 147.087i | −1.49749 | − | 0.341793i | ||||
\(58\) | −138.439 | − | 287.472i | −0.313414 | − | 0.650810i | ||||
\(59\) | −93.2902 | − | 408.731i | −0.205853 | − | 0.901903i | −0.967292 | − | 0.253666i | \(-0.918364\pi\) |
0.761439 | − | 0.648237i | \(-0.224493\pi\) | |||||||
\(60\) | −198.127 | + | 868.050i | −0.426301 | + | 1.86775i | ||||
\(61\) | 40.3358 | + | 176.723i | 0.0846634 | + | 0.370934i | 0.999456 | − | 0.0329901i | \(-0.0105030\pi\) |
−0.914792 | + | 0.403925i | \(0.867646\pi\) | |||||||
\(62\) | −426.981 | + | 205.623i | −0.874624 | + | 0.421197i | ||||
\(63\) | 148.366 | − | 186.044i | 0.296703 | − | 0.372054i | ||||
\(64\) | 69.0177 | − | 302.386i | 0.134800 | − | 0.590598i | ||||
\(65\) | −1098.90 | + | 529.203i | −2.09695 | + | 1.00984i | ||||
\(66\) | 48.9095 | − | 11.1633i | 0.0912173 | − | 0.0208198i | ||||
\(67\) | −516.652 | + | 412.017i | −0.942077 | + | 0.751281i | −0.968666 | − | 0.248365i | \(-0.920107\pi\) |
0.0265897 | + | 0.999646i | \(0.491535\pi\) | |||||||
\(68\) | 527.434i | 0.940599i | ||||||||
\(69\) | 629.312i | 1.09797i | ||||||||
\(70\) | 128.723 | + | 61.9898i | 0.219791 | + | 0.105846i | ||||
\(71\) | 137.660 | − | 285.853i | 0.230101 | − | 0.477810i | −0.753666 | − | 0.657257i | \(-0.771717\pi\) |
0.983768 | + | 0.179447i | \(0.0574308\pi\) | |||||||
\(72\) | 1244.02 | − | 283.940i | 2.03624 | − | 0.464759i | ||||
\(73\) | −611.686 | + | 487.804i | −0.980719 | + | 0.782097i | −0.975973 | − | 0.217892i | \(-0.930082\pi\) |
−0.00474592 | + | 0.999989i | \(0.501511\pi\) | |||||||
\(74\) | 241.282 | + | 192.416i | 0.379034 | + | 0.302269i | ||||
\(75\) | −1020.41 | − | 2118.91i | −1.57103 | − | 3.26228i | ||||
\(76\) | 324.510 | − | 156.276i | 0.489788 | − | 0.235869i | ||||
\(77\) | 13.2847i | 0.0196614i | ||||||||
\(78\) | 774.688 | + | 617.793i | 1.12457 | + | 0.896811i | ||||
\(79\) | 379.972 | + | 789.019i | 0.541141 | + | 1.12369i | 0.974896 | + | 0.222660i | \(0.0714740\pi\) |
−0.433755 | + | 0.901031i | \(0.642812\pi\) | |||||||
\(80\) | −5.65228 | − | 11.7371i | −0.00789931 | − | 0.0164031i | ||||
\(81\) | 588.759 | + | 738.281i | 0.807626 | + | 1.01273i | ||||
\(82\) | −758.999 | − | 173.237i | −1.02216 | − | 0.233302i | ||||
\(83\) | 746.624 | 0.987382 | 0.493691 | − | 0.869638i | \(-0.335647\pi\) | ||||
0.493691 | + | 0.869638i | \(0.335647\pi\) | |||||||
\(84\) | 191.543i | 0.248799i | ||||||||
\(85\) | −1290.68 | − | 1618.46i | −1.64699 | − | 2.06525i | ||||
\(86\) | −270.570 | − | 561.844i | −0.339259 | − | 0.704479i | ||||
\(87\) | 1678.91i | 2.06894i | ||||||||
\(88\) | −44.4153 | + | 55.6950i | −0.0538032 | + | 0.0674671i | ||||
\(89\) | −713.957 | − | 162.956i | −0.850329 | − | 0.194082i | −0.224918 | − | 0.974378i | \(-0.572212\pi\) |
−0.625411 | + | 0.780295i | \(0.715069\pi\) | |||||||
\(90\) | −1198.22 | + | 1502.52i | −1.40338 | + | 1.75978i | ||||
\(91\) | −205.143 | + | 163.596i | −0.236317 | + | 0.188456i | ||||
\(92\) | −213.801 | − | 268.098i | −0.242286 | − | 0.303817i | ||||
\(93\) | 2493.68 | 2.78046 | ||||||||
\(94\) | 180.631 | + | 144.049i | 0.198199 | + | 0.158058i | ||||
\(95\) | −613.357 | + | 1273.65i | −0.662411 | + | 1.37551i | ||||
\(96\) | −1035.05 | + | 1297.91i | −1.10041 | + | 1.37987i | ||||
\(97\) | −1347.35 | − | 648.849i | −1.41034 | − | 0.679182i | −0.435106 | − | 0.900379i | \(-0.643289\pi\) |
−0.975229 | + | 0.221198i | \(0.929003\pi\) | |||||||
\(98\) | −551.022 | − | 125.767i | −0.567976 | − | 0.129637i | ||||
\(99\) | −174.215 | − | 39.7634i | −0.176861 | − | 0.0403674i | ||||
\(100\) | 1154.59 | + | 556.020i | 1.15459 | + | 0.556020i | ||||
\(101\) | −152.063 | + | 190.680i | −0.149810 | + | 0.187856i | −0.851074 | − | 0.525046i | \(-0.824048\pi\) |
0.701264 | + | 0.712902i | \(0.252619\pi\) | |||||||
\(102\) | −729.670 | + | 1515.18i | −0.708315 | + | 1.47083i | ||||
\(103\) | 1058.30 | + | 843.963i | 1.01240 | + | 0.807361i | 0.981364 | − | 0.192158i | \(-0.0615485\pi\) |
0.0310342 | + | 0.999518i | \(0.490120\pi\) | |||||||
\(104\) | −1407.00 | −1.32662 | ||||||||
\(105\) | −468.724 | − | 587.761i | −0.435646 | − | 0.546282i | ||||
\(106\) | −78.4786 | + | 62.5846i | −0.0719105 | + | 0.0573467i | ||||
\(107\) | −481.310 | + | 603.544i | −0.434860 | + | 0.545297i | −0.950180 | − | 0.311701i | \(-0.899101\pi\) |
0.515321 | + | 0.856997i | \(0.327673\pi\) | |||||||
\(108\) | −1313.13 | − | 299.714i | −1.16997 | − | 0.267037i | ||||
\(109\) | 409.097 | − | 512.991i | 0.359490 | − | 0.450786i | −0.568893 | − | 0.822412i | \(-0.692628\pi\) |
0.928383 | + | 0.371626i | \(0.121200\pi\) | |||||||
\(110\) | − | 107.289i | − | 0.0929966i | ||||||
\(111\) | −704.574 | − | 1463.06i | −0.602480 | − | 1.25106i | ||||
\(112\) | −1.74733 | − | 2.19108i | −0.00147417 | − | 0.00184855i | ||||
\(113\) | 888.192i | 0.739416i | 0.929148 | + | 0.369708i | \(0.120542\pi\) | ||||
−0.929148 | + | 0.369708i | \(0.879458\pi\) | |||||||
\(114\) | 1148.43 | 0.943511 | ||||||||
\(115\) | 1312.12 | + | 299.483i | 1.06396 | + | 0.242843i | ||||
\(116\) | −570.389 | − | 715.245i | −0.456546 | − | 0.572490i | ||||
\(117\) | −1531.37 | − | 3179.91i | −1.21004 | − | 2.51268i | ||||
\(118\) | 316.037 | + | 656.258i | 0.246556 | + | 0.511978i | ||||
\(119\) | −348.174 | − | 277.660i | −0.268211 | − | 0.213891i | ||||
\(120\) | − | 4031.25i | − | 3.06668i | ||||||
\(121\) | −1190.20 | + | 573.171i | −0.894216 | + | 0.430632i | ||||
\(122\) | −136.645 | − | 283.745i | −0.101403 | − | 0.210566i | ||||
\(123\) | 3202.75 | + | 2554.11i | 2.34782 | + | 1.87233i | ||||
\(124\) | −1062.35 | + | 847.196i | −0.769370 | + | 0.613552i | ||||
\(125\) | −2520.91 | + | 575.381i | −1.80382 | + | 0.411709i | ||||
\(126\) | −179.381 | + | 372.489i | −0.126830 | + | 0.263365i | ||||
\(127\) | 1191.09 | + | 573.600i | 0.832223 | + | 0.400778i | 0.800949 | − | 0.598733i | \(-0.204329\pi\) |
0.0312748 | + | 0.999511i | \(0.490043\pi\) | |||||||
\(128\) | − | 913.838i | − | 0.631036i | ||||||
\(129\) | 3281.31i | 2.23956i | ||||||||
\(130\) | 1656.77 | − | 1321.23i | 1.11776 | − | 0.891380i | ||||
\(131\) | −988.597 | + | 225.641i | −0.659344 | + | 0.150491i | −0.539085 | − | 0.842251i | \(-0.681230\pi\) |
−0.120260 | + | 0.992742i | \(0.538373\pi\) | |||||||
\(132\) | 129.594 | − | 62.4093i | 0.0854526 | − | 0.0411518i | ||||
\(133\) | −67.6714 | + | 296.488i | −0.0441192 | + | 0.193299i | ||||
\(134\) | 715.837 | − | 897.632i | 0.461485 | − | 0.578683i | ||||
\(135\) | 4762.85 | − | 2293.67i | 3.03645 | − | 1.46228i | ||||
\(136\) | −531.381 | − | 2328.13i | −0.335041 | − | 1.46791i | ||||
\(137\) | 185.758 | − | 813.859i | 0.115842 | − | 0.507538i | −0.883400 | − | 0.468619i | \(-0.844752\pi\) |
0.999242 | − | 0.0389183i | \(-0.0123912\pi\) | |||||||
\(138\) | −243.297 | − | 1065.95i | −0.150078 | − | 0.657536i | ||||
\(139\) | −1144.40 | − | 2376.37i | −0.698321 | − | 1.45008i | −0.884009 | − | 0.467470i | \(-0.845166\pi\) |
0.185688 | − | 0.982609i | \(-0.440549\pi\) | |||||||
\(140\) | 399.369 | + | 91.1534i | 0.241092 | + | 0.0550276i | ||||
\(141\) | −527.466 | − | 1095.29i | −0.315040 | − | 0.654187i | ||||
\(142\) | −122.660 | + | 537.410i | −0.0724889 | + | 0.317595i | ||||
\(143\) | 177.526 | + | 85.4922i | 0.103815 | + | 0.0499945i | ||||
\(144\) | 33.9639 | − | 16.3561i | 0.0196550 | − | 0.00946535i | ||||
\(145\) | 3500.54 | + | 798.976i | 2.00486 | + | 0.457595i | ||||
\(146\) | 847.510 | − | 1062.74i | 0.480414 | − | 0.602420i | ||||
\(147\) | 2325.15 | + | 1854.24i | 1.30459 | + | 1.04038i | ||||
\(148\) | 797.219 | + | 383.920i | 0.442777 | + | 0.213230i | ||||
\(149\) | −641.804 | + | 511.822i | −0.352877 | + | 0.281410i | −0.783844 | − | 0.620958i | \(-0.786744\pi\) |
0.430967 | + | 0.902368i | \(0.358172\pi\) | |||||||
\(150\) | 2547.61 | + | 3194.60i | 1.38674 | + | 1.73892i | ||||
\(151\) | 987.509 | + | 2050.58i | 0.532201 | + | 1.10513i | 0.977731 | + | 0.209860i | \(0.0673007\pi\) |
−0.445531 | + | 0.895267i | \(0.646985\pi\) | |||||||
\(152\) | −1274.97 | + | 1016.75i | −0.680353 | + | 0.542563i | ||||
\(153\) | 4683.37 | − | 3734.86i | 2.47469 | − | 1.97350i | ||||
\(154\) | −5.13596 | − | 22.5021i | −0.00268745 | − | 0.0117745i | ||||
\(155\) | 1186.72 | − | 5199.34i | 0.614963 | − | 2.69433i | ||||
\(156\) | 2559.64 | + | 1232.66i | 1.31369 | + | 0.632638i | ||||
\(157\) | −184.139 | − | 806.765i | −0.0936044 | − | 0.410108i | 0.906318 | − | 0.422597i | \(-0.138881\pi\) |
−0.999922 | + | 0.0124896i | \(0.996024\pi\) | |||||||
\(158\) | −948.652 | − | 1189.57i | −0.477663 | − | 0.598970i | ||||
\(159\) | 514.934 | − | 117.530i | 0.256836 | − | 0.0586212i | ||||
\(160\) | 2213.58 | + | 2775.74i | 1.09374 | + | 1.37151i | ||||
\(161\) | 289.532 | 0.141728 | ||||||||
\(162\) | −1282.69 | − | 1022.91i | −0.622084 | − | 0.496095i | ||||
\(163\) | 56.4854 | − | 247.479i | 0.0271428 | − | 0.118920i | −0.959542 | − | 0.281567i | \(-0.909146\pi\) |
0.986684 | + | 0.162646i | \(0.0520030\pi\) | |||||||
\(164\) | −2232.15 | −1.06282 | ||||||||
\(165\) | −244.946 | + | 508.636i | −0.115570 | + | 0.239983i | ||||
\(166\) | −1264.66 | + | 288.651i | −0.591306 | + | 0.134962i | ||||
\(167\) | −665.511 | + | 1381.95i | −0.308376 | + | 0.640349i | −0.996348 | − | 0.0853884i | \(-0.972787\pi\) |
0.687972 | + | 0.725737i | \(0.258501\pi\) | |||||||
\(168\) | −192.977 | − | 845.487i | −0.0886220 | − | 0.388278i | ||||
\(169\) | 377.119 | + | 1652.27i | 0.171652 | + | 0.752055i | ||||
\(170\) | 2811.91 | + | 2242.42i | 1.26861 | + | 1.01168i | ||||
\(171\) | −3685.58 | − | 1774.88i | −1.64821 | − | 0.793735i | ||||
\(172\) | −1114.78 | − | 1397.90i | −0.494195 | − | 0.619701i | ||||
\(173\) | −2029.82 | + | 977.510i | −0.892049 | + | 0.429588i | −0.823011 | − | 0.568026i | \(-0.807707\pi\) |
−0.0690381 | + | 0.997614i | \(0.521993\pi\) | |||||||
\(174\) | −649.080 | − | 2843.80i | −0.282797 | − | 1.23901i | ||||
\(175\) | −974.861 | + | 469.469i | −0.421101 | + | 0.202791i | ||||
\(176\) | −0.913120 | + | 1.89611i | −0.000391074 | + | 0.000812074i | ||||
\(177\) | − | 3832.71i | − | 1.62759i | ||||||
\(178\) | 1272.33 | 0.535759 | ||||||||
\(179\) | −293.274 | − | 66.9379i | −0.122460 | − | 0.0279507i | 0.160852 | − | 0.986979i | \(-0.448576\pi\) |
−0.283312 | + | 0.959028i | \(0.591433\pi\) | |||||||
\(180\) | −2390.77 | + | 4964.48i | −0.989985 | + | 2.05572i | ||||
\(181\) | 985.396 | − | 1235.65i | 0.404663 | − | 0.507431i | −0.537188 | − | 0.843462i | \(-0.680513\pi\) |
0.941851 | + | 0.336032i | \(0.109085\pi\) | |||||||
\(182\) | 284.232 | − | 356.416i | 0.115762 | − | 0.145161i | ||||
\(183\) | 1657.14i | 0.669397i | ||||||||
\(184\) | 1213.84 | + | 968.004i | 0.486333 | + | 0.387838i | ||||
\(185\) | −3385.80 | + | 772.786i | −1.34556 | + | 0.307116i | ||||
\(186\) | −4223.89 | + | 964.076i | −1.66511 | + | 0.380051i | ||||
\(187\) | −74.4155 | + | 326.036i | −0.0291006 | + | 0.127498i | ||||
\(188\) | 596.822 | + | 287.414i | 0.231530 | + | 0.111499i | ||||
\(189\) | 889.130 | − | 709.058i | 0.342194 | − | 0.272891i | ||||
\(190\) | 546.525 | − | 2394.48i | 0.208680 | − | 0.914285i | ||||
\(191\) | 60.8549 | 0.0230540 | 0.0115270 | − | 0.999934i | \(-0.496331\pi\) | ||||
0.0115270 | + | 0.999934i | \(0.496331\pi\) | |||||||
\(192\) | 1230.28 | − | 2554.70i | 0.462436 | − | 0.960259i | ||||
\(193\) | 570.461 | − | 274.719i | 0.212760 | − | 0.102460i | −0.324469 | − | 0.945896i | \(-0.605186\pi\) |
0.537229 | + | 0.843437i | \(0.319471\pi\) | |||||||
\(194\) | 2533.04 | + | 578.150i | 0.937432 | + | 0.213963i | ||||
\(195\) | −10870.8 | + | 2481.19i | −3.99218 | + | 0.911190i | ||||
\(196\) | −1620.51 | −0.590565 | ||||||||
\(197\) | 2617.03 | − | 892.486i | 0.946475 | − | 0.322777i | ||||
\(198\) | 310.465 | 0.111433 | ||||||||
\(199\) | 2765.05 | − | 631.105i | 0.984971 | − | 0.224813i | 0.300443 | − | 0.953800i | \(-0.402865\pi\) |
0.684528 | + | 0.728987i | \(0.260008\pi\) | |||||||
\(200\) | −5656.62 | − | 1291.09i | −1.99992 | − | 0.456468i | ||||
\(201\) | −5442.97 | + | 2621.20i | −1.91004 | + | 0.919826i | ||||
\(202\) | 183.851 | − | 381.771i | 0.0640382 | − | 0.132977i | ||||
\(203\) | 772.427 | 0.267063 | ||||||||
\(204\) | −1072.95 | + | 4700.90i | −0.368243 | + | 1.61338i | ||||
\(205\) | 6849.49 | − | 5462.29i | 2.33361 | − | 1.86099i | ||||
\(206\) | −2118.87 | − | 1020.39i | −0.716643 | − | 0.345117i | ||||
\(207\) | −866.620 | + | 3796.91i | −0.290987 | + | 1.27490i | ||||
\(208\) | −40.5247 | + | 9.24950i | −0.0135091 | + | 0.00308335i | ||||
\(209\) | 222.647 | − | 50.8177i | 0.0736880 | − | 0.0168188i | ||||
\(210\) | 1021.18 | + | 814.361i | 0.335561 | + | 0.267601i | ||||
\(211\) | 2559.52i | 0.835094i | 0.908655 | + | 0.417547i | \(0.137110\pi\) | ||||
−0.908655 | + | 0.417547i | \(0.862890\pi\) | |||||||
\(212\) | −179.442 | + | 225.013i | −0.0581325 | + | 0.0728959i | ||||
\(213\) | 1808.44 | − | 2267.71i | 0.581747 | − | 0.729488i | ||||
\(214\) | 581.927 | − | 1208.38i | 0.185887 | − | 0.385997i | ||||
\(215\) | 6841.56 | + | 1561.54i | 2.17019 | + | 0.495331i | ||||
\(216\) | 6098.23 | 1.92098 | ||||||||
\(217\) | − | 1147.28i | − | 0.358906i | ||||||
\(218\) | −494.618 | + | 1027.09i | −0.153669 | + | 0.319096i | ||||
\(219\) | −6444.16 | + | 3103.34i | −1.98838 | + | 0.957555i | ||||
\(220\) | −68.4514 | − | 299.905i | −0.0209772 | − | 0.0919072i | ||||
\(221\) | −5951.07 | + | 2865.89i | −1.81137 | + | 0.872309i | ||||
\(222\) | 1759.07 | + | 2205.80i | 0.531806 | + | 0.666864i | ||||
\(223\) | 3767.89 | + | 1814.52i | 1.13146 | + | 0.544884i | 0.903416 | − | 0.428765i | \(-0.141051\pi\) |
0.228048 | + | 0.973650i | \(0.426766\pi\) | |||||||
\(224\) | 597.137 | + | 476.201i | 0.178116 | + | 0.142043i | ||||
\(225\) | −3238.66 | − | 14189.5i | −0.959604 | − | 4.20430i | ||||
\(226\) | −343.382 | − | 1504.45i | −0.101068 | − | 0.442809i | ||||
\(227\) | −2119.83 | + | 4401.87i | −0.619815 | + | 1.28706i | 0.320659 | + | 0.947195i | \(0.396096\pi\) |
−0.940474 | + | 0.339865i | \(0.889619\pi\) | |||||||
\(228\) | 3210.20 | − | 732.707i | 0.932459 | − | 0.212828i | ||||
\(229\) | 2414.75 | − | 5014.28i | 0.696818 | − | 1.44696i | −0.188549 | − | 0.982064i | \(-0.560379\pi\) |
0.885367 | − | 0.464893i | \(-0.153907\pi\) | |||||||
\(230\) | −2338.30 | −0.670361 | ||||||||
\(231\) | −27.0248 | + | 118.403i | −0.00769741 | + | 0.0337246i | ||||
\(232\) | 3238.34 | + | 2582.49i | 0.916411 | + | 0.730814i | ||||
\(233\) | −4153.10 | −1.16772 | −0.583859 | − | 0.811855i | \(-0.698458\pi\) | ||||
−0.583859 | + | 0.811855i | \(0.698458\pi\) | |||||||
\(234\) | 3823.27 | + | 4794.22i | 1.06810 | + | 1.33935i | ||||
\(235\) | −2534.71 | + | 578.531i | −0.703601 | + | 0.160592i | ||||
\(236\) | 1302.12 | + | 1632.80i | 0.359155 | + | 0.450366i | ||||
\(237\) | 1781.52 | + | 7805.33i | 0.488278 | + | 2.13929i | ||||
\(238\) | 697.097 | + | 335.704i | 0.189857 | + | 0.0914305i | ||||
\(239\) | 759.163 | − | 3326.11i | 0.205465 | − | 0.900201i | −0.762076 | − | 0.647488i | \(-0.775820\pi\) |
0.967541 | − | 0.252714i | \(-0.0813231\pi\) | |||||||
\(240\) | −26.5010 | − | 116.108i | −0.00712764 | − | 0.0312282i | ||||
\(241\) | −2797.66 | + | 2231.06i | −0.747772 | + | 0.596329i | −0.921460 | − | 0.388472i | \(-0.873003\pi\) |
0.173688 | + | 0.984801i | \(0.444432\pi\) | |||||||
\(242\) | 1794.42 | − | 1431.00i | 0.476651 | − | 0.380116i | ||||
\(243\) | 578.099 | + | 1200.43i | 0.152613 | + | 0.316905i | ||||
\(244\) | −562.994 | − | 705.972i | −0.147713 | − | 0.185226i | ||||
\(245\) | 4972.63 | − | 3965.54i | 1.29669 | − | 1.03408i | ||||
\(246\) | −6412.39 | − | 3088.04i | −1.66195 | − | 0.800351i | ||||
\(247\) | 3526.55 | + | 2812.33i | 0.908457 | + | 0.724470i | ||||
\(248\) | 3835.76 | − | 4809.89i | 0.982141 | − | 1.23157i | ||||
\(249\) | 6654.50 | + | 1518.85i | 1.69362 | + | 0.386558i | ||||
\(250\) | 4047.57 | − | 1949.21i | 1.02396 | − | 0.493115i | ||||
\(251\) | 1542.22 | + | 742.695i | 0.387826 | + | 0.186767i | 0.617628 | − | 0.786470i | \(-0.288094\pi\) |
−0.229802 | + | 0.973237i | \(0.573808\pi\) | |||||||
\(252\) | −263.773 | + | 1155.66i | −0.0659369 | + | 0.288889i | ||||
\(253\) | −94.3362 | − | 195.891i | −0.0234422 | − | 0.0486782i | ||||
\(254\) | −2239.28 | − | 511.100i | −0.553168 | − | 0.126257i | ||||
\(255\) | −8211.13 | − | 17050.6i | −2.01647 | − | 4.18725i | ||||
\(256\) | 905.438 | + | 3966.98i | 0.221054 | + | 0.968502i | ||||
\(257\) | −767.507 | + | 3362.67i | −0.186287 | + | 0.816177i | 0.792265 | + | 0.610177i | \(0.208902\pi\) |
−0.978552 | + | 0.206000i | \(0.933955\pi\) | |||||||
\(258\) | −1268.58 | − | 5558.01i | −0.306118 | − | 1.34119i | ||||
\(259\) | −673.121 | + | 324.158i | −0.161489 | + | 0.0777691i | ||||
\(260\) | 3788.20 | − | 4750.26i | 0.903594 | − | 1.13307i | ||||
\(261\) | −2312.01 | + | 10129.6i | −0.548314 | + | 2.40232i | ||||
\(262\) | 1587.29 | − | 764.399i | 0.374287 | − | 0.180247i | ||||
\(263\) | 1262.86 | − | 288.239i | 0.296088 | − | 0.0675801i | −0.0718965 | − | 0.997412i | \(-0.522905\pi\) |
0.367984 | + | 0.929832i | \(0.380048\pi\) | |||||||
\(264\) | −509.163 | + | 406.044i | −0.118700 | + | 0.0946602i | ||||
\(265\) | − | 1129.57i | − | 0.261846i | ||||||
\(266\) | − | 528.365i | − | 0.121790i | ||||||
\(267\) | −6031.85 | − | 2904.79i | −1.38256 | − | 0.665805i | ||||
\(268\) | 1428.28 | − | 2965.86i | 0.325545 | − | 0.676002i | ||||
\(269\) | 5215.86 | − | 1190.49i | 1.18222 | − | 0.269834i | 0.414155 | − | 0.910207i | \(-0.364077\pi\) |
0.768064 | + | 0.640373i | \(0.221220\pi\) | |||||||
\(270\) | −7180.75 | + | 5726.46i | −1.61854 | + | 1.29075i | ||||
\(271\) | 875.930 | + | 698.531i | 0.196343 | + | 0.156578i | 0.716727 | − | 0.697354i | \(-0.245640\pi\) |
−0.520384 | + | 0.853933i | \(0.674211\pi\) | |||||||
\(272\) | −30.6098 | − | 63.5619i | −0.00682350 | − | 0.0141691i | ||||
\(273\) | −2161.20 | + | 1040.78i | −0.479127 | + | 0.230735i | ||||
\(274\) | 1450.36i | 0.319779i | ||||||||
\(275\) | 635.266 | + | 506.608i | 0.139302 | + | 0.111089i | ||||
\(276\) | −1360.17 | − | 2824.43i | −0.296641 | − | 0.615981i | ||||
\(277\) | 1110.68 | + | 2306.36i | 0.240919 | + | 0.500274i | 0.986009 | − | 0.166690i | \(-0.0533079\pi\) |
−0.745090 | + | 0.666964i | \(0.767594\pi\) | |||||||
\(278\) | 2857.15 | + | 3582.75i | 0.616405 | + | 0.772947i | ||||
\(279\) | 15045.4 | + | 3434.02i | 3.22848 | + | 0.736880i | ||||
\(280\) | −1854.68 | −0.395852 | ||||||||
\(281\) | − | 3917.49i | − | 0.831666i | −0.909441 | − | 0.415833i | \(-0.863490\pi\) | ||
0.909441 | − | 0.415833i | \(-0.136510\pi\) | |||||||
\(282\) | 1316.89 | + | 1651.33i | 0.278084 | + | 0.348707i | ||||
\(283\) | 1085.33 | + | 2253.71i | 0.227973 | + | 0.473390i | 0.983308 | − | 0.181948i | \(-0.0582403\pi\) |
−0.755335 | + | 0.655338i | \(0.772526\pi\) | |||||||
\(284\) | 1580.48i | 0.330226i | ||||||||
\(285\) | −8057.68 | + | 10104.0i | −1.67472 | + | 2.10003i | ||||
\(286\) | −333.753 | − | 76.1769i | −0.0690043 | − | 0.0157498i | ||||
\(287\) | 1175.09 | − | 1473.51i | 0.241683 | − | 0.303061i | ||||
\(288\) | −8032.23 | + | 6405.49i | −1.64342 | + | 1.31058i | ||||
\(289\) | −3926.43 | − | 4923.59i | −0.799192 | − | 1.00216i | ||||
\(290\) | −6238.24 | −1.26318 | ||||||||
\(291\) | −10688.7 | − | 8523.94i | −2.15320 | − | 1.71712i | ||||
\(292\) | 1691.00 | − | 3511.40i | 0.338899 | − | 0.703730i | ||||
\(293\) | −4413.56 | + | 5534.43i | −0.880010 | + | 1.10350i | 0.113920 | + | 0.993490i | \(0.463659\pi\) |
−0.993931 | + | 0.110008i | \(0.964912\pi\) | |||||||
\(294\) | −4655.29 | − | 2241.87i | −0.923477 | − | 0.444723i | ||||
\(295\) | −7991.23 | − | 1823.95i | −1.57718 | − | 0.359981i | ||||
\(296\) | −3905.78 | − | 891.469i | −0.766956 | − | 0.175053i | ||||
\(297\) | −769.433 | − | 370.540i | −0.150327 | − | 0.0723936i | ||||
\(298\) | 889.239 | − | 1115.07i | 0.172860 | − | 0.216759i | ||||
\(299\) | 1863.25 | − | 3869.08i | 0.360383 | − | 0.748343i | ||||
\(300\) | 9159.49 | + | 7304.45i | 1.76275 | + | 1.40574i | ||||
\(301\) | 1509.65 | 0.289086 | ||||||||
\(302\) | −2465.45 | − | 3091.58i | −0.469771 | − | 0.589074i | ||||
\(303\) | −1743.20 | + | 1390.16i | −0.330509 | + | 0.263572i | ||||
\(304\) | −30.0378 | + | 37.6662i | −0.00566705 | + | 0.00710626i | ||||
\(305\) | 3455.16 | + | 788.617i | 0.648662 | + | 0.148053i | ||||
\(306\) | −6488.95 | + | 8136.89i | −1.21225 | + | 1.52011i | ||||
\(307\) | − | 7140.76i | − | 1.32751i | −0.747951 | − | 0.663754i | \(-0.768962\pi\) | ||
0.747951 | − | 0.663754i | \(-0.231038\pi\) | |||||||
\(308\) | −28.7131 | − | 59.6233i | −0.00531194 | − | 0.0110304i | ||||
\(309\) | 7715.50 | + | 9674.94i | 1.42045 | + | 1.78119i | ||||
\(310\) | 9265.64i | 1.69759i | ||||||||
\(311\) | 6048.41 | 1.10281 | 0.551405 | − | 0.834238i | \(-0.314092\pi\) | ||||
0.551405 | + | 0.834238i | \(0.314092\pi\) | |||||||
\(312\) | −12540.3 | − | 2862.25i | −2.27550 | − | 0.519368i | ||||
\(313\) | 3896.37 | + | 4885.89i | 0.703629 | + | 0.882323i | 0.997289 | − | 0.0735870i | \(-0.0234447\pi\) |
−0.293660 | + | 0.955910i | \(0.594873\pi\) | |||||||
\(314\) | 623.804 | + | 1295.34i | 0.112112 | + | 0.232804i | ||||
\(315\) | −2018.61 | − | 4191.69i | −0.361066 | − | 0.749762i | ||||
\(316\) | −3410.72 | − | 2719.96i | −0.607177 | − | 0.484208i | ||||
\(317\) | 1775.70i | 0.314615i | 0.987550 | + | 0.157308i | \(0.0502814\pi\) | ||||
−0.987550 | + | 0.157308i | \(0.949719\pi\) | |||||||
\(318\) | −826.778 | + | 398.155i | −0.145797 | + | 0.0702121i | ||||
\(319\) | −251.675 | − | 522.609i | −0.0441727 | − | 0.0917256i | ||||
\(320\) | −4741.10 | − | 3780.90i | −0.828235 | − | 0.660496i | ||||
\(321\) | −5517.59 | + | 4400.13i | −0.959383 | + | 0.765082i | ||||
\(322\) | −490.420 | + | 111.935i | −0.0848759 | + | 0.0193724i | ||||
\(323\) | −3321.62 | + | 6897.41i | −0.572197 | + | 1.18818i | ||||
\(324\) | −4238.12 | − | 2040.97i | −0.726701 | − | 0.349961i | ||||
\(325\) | 16048.5i | 2.73911i | ||||||||
\(326\) | 441.027i | 0.0749271i | ||||||||
\(327\) | 4689.76 | − | 3739.96i | 0.793103 | − | 0.632478i | ||||
\(328\) | 9852.91 | − | 2248.86i | 1.65865 | − | 0.378575i | ||||
\(329\) | −503.919 | + | 242.675i | −0.0844436 | + | 0.0406659i | ||||
\(330\) | 218.257 | − | 956.245i | 0.0364080 | − | 0.159514i | ||||
\(331\) | 7095.75 | − | 8897.78i | 1.17830 | − | 1.47754i | 0.333264 | − | 0.942834i | \(-0.391850\pi\) |
0.845037 | − | 0.534709i | \(-0.179579\pi\) | |||||||
\(332\) | −3350.94 | + | 1613.73i | −0.553936 | + | 0.266762i | ||||
\(333\) | −2236.23 | − | 9797.56i | −0.368002 | − | 1.61232i | ||||
\(334\) | 592.997 | − | 2598.09i | 0.0971477 | − | 0.425632i | ||||
\(335\) | 2874.96 | + | 12596.0i | 0.468884 | + | 2.05431i | ||||
\(336\) | −11.1163 | − | 23.0832i | −0.00180489 | − | 0.00374789i | ||||
\(337\) | −5385.17 | − | 1229.13i | −0.870471 | − | 0.198679i | −0.236119 | − | 0.971724i | \(-0.575876\pi\) |
−0.634351 | + | 0.773045i | \(0.718733\pi\) | |||||||
\(338\) | −1277.56 | − | 2652.88i | −0.205592 | − | 0.426915i | ||||
\(339\) | −1806.84 | + | 7916.26i | −0.289480 | + | 1.26830i | ||||
\(340\) | 9290.81 | + | 4474.22i | 1.48196 | + | 0.713672i | ||||
\(341\) | −776.228 | + | 373.812i | −0.123270 | + | 0.0593638i | ||||
\(342\) | 6928.97 | + | 1581.49i | 1.09554 | + | 0.250051i | ||||
\(343\) | 1752.58 | − | 2197.67i | 0.275890 | − | 0.345956i | ||||
\(344\) | 6329.10 | + | 5047.29i | 0.991984 | + | 0.791081i | ||||
\(345\) | 11085.4 | + | 5338.45i | 1.72991 | + | 0.833080i | ||||
\(346\) | 3060.28 | − | 2440.49i | 0.475496 | − | 0.379195i | ||||
\(347\) | −1144.39 | − | 1435.02i | −0.177043 | − | 0.222005i | 0.685390 | − | 0.728176i | \(-0.259632\pi\) |
−0.862433 | + | 0.506171i | \(0.831060\pi\) | |||||||
\(348\) | −3628.74 | − | 7535.16i | −0.558968 | − | 1.16071i | ||||
\(349\) | 9087.15 | − | 7246.76i | 1.39376 | − | 1.11149i | 0.414240 | − | 0.910168i | \(-0.364047\pi\) |
0.979525 | − | 0.201323i | \(-0.0645239\pi\) | |||||||
\(350\) | 1469.76 | − | 1172.09i | 0.224463 | − | 0.179003i | ||||
\(351\) | −3753.40 | − | 16444.7i | −0.570774 | − | 2.50072i | ||||
\(352\) | 127.627 | − | 559.169i | 0.0193253 | − | 0.0846699i | ||||
\(353\) | 6027.41 | + | 2902.65i | 0.908801 | + | 0.437655i | 0.829060 | − | 0.559160i | \(-0.188876\pi\) |
0.0797412 | + | 0.996816i | \(0.474591\pi\) | |||||||
\(354\) | 1481.76 | + | 6492.00i | 0.222470 | + | 0.974706i | ||||
\(355\) | −3867.57 | − | 4849.78i | −0.578224 | − | 0.725070i | ||||
\(356\) | 3556.54 | − | 811.756i | 0.529483 | − | 0.120851i | ||||
\(357\) | −2538.36 | − | 3183.01i | −0.376315 | − | 0.471884i | ||||
\(358\) | 522.638 | 0.0771572 | ||||||||
\(359\) | −657.206 | − | 524.105i | −0.0966185 | − | 0.0770506i | 0.573989 | − | 0.818863i | \(-0.305395\pi\) |
−0.670608 | + | 0.741812i | \(0.733967\pi\) | |||||||
\(360\) | 5551.40 | − | 24322.3i | 0.812734 | − | 3.56082i | ||||
\(361\) | −1631.10 | −0.237804 | ||||||||
\(362\) | −1191.39 | + | 2473.95i | −0.172978 | + | 0.359193i | ||||
\(363\) | −11774.0 | + | 2687.34i | −1.70241 | + | 0.388564i | ||||
\(364\) | 567.116 | − | 1177.63i | 0.0816620 | − | 0.169573i | ||||
\(365\) | 3403.79 | + | 14913.0i | 0.488116 | + | 2.13858i | ||||
\(366\) | −640.665 | − | 2806.94i | −0.0914975 | − | 0.400877i | ||||
\(367\) | −9714.69 | − | 7747.21i | −1.38175 | − | 1.10191i | −0.982746 | − | 0.184962i | \(-0.940784\pi\) |
−0.399006 | − | 0.916948i | \(-0.630645\pi\) | |||||||
\(368\) | 41.3247 | + | 19.9009i | 0.00585380 | + | 0.00281904i | ||||
\(369\) | 15806.3 | + | 19820.5i | 2.22993 | + | 2.79625i | ||||
\(370\) | 5436.23 | − | 2617.95i | 0.763828 | − | 0.367840i | ||||
\(371\) | −54.0730 | − | 236.909i | −0.00756693 | − | 0.0331529i | ||||
\(372\) | −11191.9 | + | 5389.75i | −1.55988 | + | 0.751198i | ||||
\(373\) | −3725.40 | + | 7735.87i | −0.517141 | + | 1.07386i | 0.464930 | + | 0.885347i | \(0.346079\pi\) |
−0.982072 | + | 0.188508i | \(0.939635\pi\) | |||||||
\(374\) | − | 581.022i | − | 0.0803314i | ||||||
\(375\) | −23638.8 | −3.25521 | ||||||||
\(376\) | −2923.98 | − | 667.380i | −0.401045 | − | 0.0915360i | ||||
\(377\) | 4970.87 | − | 10322.1i | 0.679080 | − | 1.41012i | ||||
\(378\) | −1231.92 | + | 1544.77i | −0.167627 | + | 0.210197i | ||||
\(379\) | 179.075 | − | 224.554i | 0.0242704 | − | 0.0304341i | −0.769548 | − | 0.638589i | \(-0.779519\pi\) |
0.793819 | + | 0.608155i | \(0.208090\pi\) | |||||||
\(380\) | − | 7041.98i | − | 0.950647i | ||||||
\(381\) | 9449.08 | + | 7535.39i | 1.27058 | + | 1.01325i | ||||
\(382\) | −103.078 | + | 23.5270i | −0.0138062 | + | 0.00315116i | ||||
\(383\) | 4954.53 | − | 1130.84i | 0.661004 | − | 0.150870i | 0.121158 | − | 0.992633i | \(-0.461339\pi\) |
0.539847 | + | 0.841763i | \(0.318482\pi\) | |||||||
\(384\) | 1859.01 | − | 8144.84i | 0.247050 | − | 1.08239i | ||||
\(385\) | 234.011 | + | 112.694i | 0.0309775 | + | 0.0149180i | ||||
\(386\) | −860.060 | + | 685.875i | −0.113409 | + | 0.0904407i | ||||
\(387\) | −4518.66 | + | 19797.6i | −0.593531 | + | 2.60043i | ||||
\(388\) | 7449.47 | 0.974715 | ||||||||
\(389\) | −176.814 | + | 367.158i | −0.0230458 | + | 0.0478551i | −0.912174 | − | 0.409803i | \(-0.865597\pi\) |
0.889128 | + | 0.457658i | \(0.151312\pi\) | |||||||
\(390\) | 17454.2 | − | 8405.49i | 2.26622 | − | 1.09135i | ||||
\(391\) | 7105.75 | + | 1621.84i | 0.919062 | + | 0.209770i | ||||
\(392\) | 7153.06 | − | 1632.64i | 0.921643 | − | 0.210359i | ||||
\(393\) | −9270.17 | −1.18987 | ||||||||
\(394\) | −4087.78 | + | 2523.49i | −0.522689 | + | 0.322669i | ||||
\(395\) | 17122.0 | 2.18101 | ||||||||
\(396\) | 867.841 | − | 198.079i | 0.110128 | − | 0.0251360i | ||||
\(397\) | −15148.9 | − | 3457.64i | −1.91512 | − | 0.437113i | −0.999375 | − | 0.0353428i | \(-0.988748\pi\) |
−0.915741 | − | 0.401770i | \(-0.868395\pi\) | |||||||
\(398\) | −4439.56 | + | 2137.98i | −0.559133 | + | 0.269265i | ||||
\(399\) | −1206.28 | + | 2504.87i | −0.151352 | + | 0.314287i | ||||
\(400\) | −171.410 | −0.0214263 | ||||||||
\(401\) | −965.107 | + | 4228.41i | −0.120187 | + | 0.526576i | 0.878610 | + | 0.477541i | \(0.158472\pi\) |
−0.998797 | + | 0.0490349i | \(0.984385\pi\) | |||||||
\(402\) | 8206.14 | − | 6544.18i | 1.01812 | − | 0.811926i | ||||
\(403\) | −15331.4 | − | 7383.22i | −1.89507 | − | 0.912616i | ||||
\(404\) | 270.345 | − | 1184.46i | 0.0332925 | − | 0.145864i | ||||
\(405\) | 17999.4 | − | 4108.24i | 2.20838 | − | 0.504049i | ||||
\(406\) | −1308.37 | + | 298.626i | −0.159934 | + | 0.0365039i | ||||
\(407\) | 438.638 | + | 349.802i | 0.0534213 | + | 0.0426020i | ||||
\(408\) | − | 21831.1i | − | 2.64902i | ||||||
\(409\) | −7404.80 | + | 9285.33i | −0.895217 | + | 1.12257i | 0.0966534 | + | 0.995318i | \(0.469186\pi\) |
−0.991871 | + | 0.127249i | \(0.959385\pi\) | |||||||
\(410\) | −9490.18 | + | 11900.3i | −1.14314 | + | 1.43345i | ||||
\(411\) | 3311.24 | − | 6875.86i | 0.397400 | − | 0.825210i | ||||
\(412\) | −6573.88 | − | 1500.44i | −0.786096 | − | 0.179421i | ||||
\(413\) | −1763.34 | −0.210093 | ||||||||
\(414\) | − | 6766.40i | − | 0.803261i | ||||||
\(415\) | 6333.61 | − | 13151.9i | 0.749168 | − | 1.55566i | ||||
\(416\) | 10206.4 | − | 4915.15i | 1.20291 | − | 0.579290i | ||||
\(417\) | −5365.57 | − | 23508.1i | −0.630103 | − | 2.76066i | ||||
\(418\) | −357.481 | + | 172.154i | −0.0418301 | + | 0.0201443i | ||||
\(419\) | −1811.53 | − | 2271.59i | −0.211215 | − | 0.264855i | 0.664927 | − | 0.746908i | \(-0.268463\pi\) |
−0.876142 | + | 0.482053i | \(0.839891\pi\) | |||||||
\(420\) | 3374.06 | + | 1624.86i | 0.391993 | + | 0.188774i | ||||
\(421\) | 7714.84 | + | 6152.38i | 0.893107 | + | 0.712229i | 0.958337 | − | 0.285641i | \(-0.0922064\pi\) |
−0.0652293 | + | 0.997870i | \(0.520778\pi\) | |||||||
\(422\) | −989.532 | − | 4335.42i | −0.114146 | − | 0.500107i | ||||
\(423\) | −1674.11 | − | 7334.75i | −0.192430 | − | 0.843091i | ||||
\(424\) | 565.372 | − | 1174.01i | 0.0647569 | − | 0.134469i | ||||
\(425\) | −26555.1 | + | 6061.02i | −3.03085 | + | 0.691771i | ||||
\(426\) | −2186.49 | + | 4540.29i | −0.248675 | + | 0.516380i | ||||
\(427\) | 762.413 | 0.0864069 | ||||||||
\(428\) | 855.700 | − | 3749.07i | 0.0966397 | − | 0.423406i | ||||
\(429\) | 1408.34 | + | 1123.11i | 0.158497 | + | 0.126397i | ||||
\(430\) | −12192.2 | −1.36735 | ||||||||
\(431\) | −8394.83 | − | 10526.8i | −0.938201 | − | 1.17647i | −0.984117 | − | 0.177522i | \(-0.943192\pi\) |
0.0459155 | − | 0.998945i | \(-0.485380\pi\) | |||||||
\(432\) | 175.642 | − | 40.0891i | 0.0195615 | − | 0.00446479i | ||||
\(433\) | −6996.90 | − | 8773.83i | −0.776558 | − | 0.973773i | 0.223442 | − | 0.974717i | \(-0.428271\pi\) |
−1.00000 | 0.000944634i | \(0.999699\pi\) | ||||||||
\(434\) | 443.548 | + | 1943.31i | 0.0490576 | + | 0.214935i | ||||
\(435\) | 29574.2 | + | 14242.2i | 3.25971 | + | 1.56980i | ||||
\(436\) | −727.316 | + | 3186.58i | −0.0798901 | + | 0.350022i | ||||
\(437\) | −1107.54 | − | 4852.45i | −0.121238 | − | 0.531177i | ||||
\(438\) | 9715.60 | − | 7747.93i | 1.05988 | − | 0.845229i | ||||
\(439\) | −2466.46 | + | 1966.93i | −0.268149 | + | 0.213842i | −0.748328 | − | 0.663329i | \(-0.769143\pi\) |
0.480179 | + | 0.877171i | \(0.340572\pi\) | |||||||
\(440\) | 604.299 | + | 1254.84i | 0.0654747 | + | 0.135960i | ||||
\(441\) | 11475.2 | + | 14389.4i | 1.23908 | + | 1.55376i | ||||
\(442\) | 8972.19 | − | 7155.08i | 0.965528 | − | 0.769983i | ||||
\(443\) | 8560.03 | + | 4122.29i | 0.918057 | + | 0.442113i | 0.832377 | − | 0.554210i | \(-0.186979\pi\) |
0.0856802 | + | 0.996323i | \(0.472694\pi\) | |||||||
\(444\) | 6324.44 | + | 5043.57i | 0.676001 | + | 0.539093i | ||||
\(445\) | −8926.99 | + | 11194.1i | −0.950966 | + | 1.19247i | ||||
\(446\) | −7083.71 | − | 1616.81i | −0.752070 | − | 0.171655i | ||||
\(447\) | −6761.46 | + | 3256.15i | −0.715449 | + | 0.344542i | ||||
\(448\) | −1175.36 | − | 566.023i | −0.123952 | − | 0.0596921i | ||||
\(449\) | 2314.54 | − | 10140.7i | 0.243274 | − | 1.06585i | −0.694742 | − | 0.719259i | \(-0.744481\pi\) |
0.938016 | − | 0.346593i | \(-0.112661\pi\) | |||||||
\(450\) | 10971.5 | + | 22782.7i | 1.14934 | + | 2.38663i | ||||
\(451\) | −1379.82 | − | 314.934i | −0.144065 | − | 0.0328818i | ||||
\(452\) | −1919.71 | − | 3986.32i | −0.199769 | − | 0.414824i | ||||
\(453\) | 4629.98 | + | 20285.3i | 0.480211 | + | 2.10394i | ||||
\(454\) | 1888.85 | − | 8275.61i | 0.195260 | − | 0.855492i | ||||
\(455\) | 1141.54 | + | 5001.41i | 0.117618 | + | 0.515318i | ||||
\(456\) | −13431.9 | + | 6468.46i | −1.37940 | + | 0.664283i | ||||
\(457\) | −2026.03 | + | 2540.56i | −0.207382 | + | 0.260049i | −0.874635 | − | 0.484782i | \(-0.838899\pi\) |
0.667253 | + | 0.744832i | \(0.267470\pi\) | |||||||
\(458\) | −2151.64 | + | 9426.95i | −0.219519 | + | 0.961774i | ||||
\(459\) | 25793.1 | − | 12421.3i | 2.62292 | − | 1.26313i | ||||
\(460\) | −6536.25 | + | 1491.86i | −0.662509 | + | 0.151213i | ||||
\(461\) | 2850.51 | − | 2273.20i | 0.287985 | − | 0.229661i | −0.468831 | − | 0.883288i | \(-0.655325\pi\) |
0.756817 | + | 0.653627i | \(0.226753\pi\) | |||||||
\(462\) | − | 211.005i | − | 0.0212485i | ||||||
\(463\) | − | 9477.68i | − | 0.951328i | −0.879627 | − | 0.475664i | \(-0.842208\pi\) | ||
0.879627 | − | 0.475664i | \(-0.157792\pi\) | |||||||
\(464\) | 110.248 | + | 53.0927i | 0.0110305 | + | 0.00531199i | ||||
\(465\) | 21153.9 | − | 43926.5i | 2.10965 | − | 4.38073i | ||||
\(466\) | 7034.68 | − | 1605.62i | 0.699303 | − | 0.159611i | ||||
\(467\) | −11726.8 | + | 9351.82i | −1.16200 | + | 0.926661i | −0.998208 | − | 0.0598348i | \(-0.980943\pi\) |
−0.163788 | + | 0.986496i | \(0.552371\pi\) | |||||||
\(468\) | 13745.9 | + | 10962.0i | 1.35770 | + | 1.08273i | ||||
\(469\) | 1205.95 | + | 2504.18i | 0.118733 | + | 0.246551i | ||||
\(470\) | 4069.73 | − | 1959.88i | 0.399410 | − | 0.192346i | ||||
\(471\) | − | 7565.12i | − | 0.740090i | ||||||
\(472\) | −7392.66 | − | 5895.45i | −0.720922 | − | 0.574916i | ||||
\(473\) | −491.881 | − | 1021.40i | −0.0478154 | − | 0.0992898i | ||||
\(474\) | −6035.20 | − | 12532.2i | −0.584823 | − | 1.21440i | ||||
\(475\) | 11597.3 | + | 14542.5i | 1.12025 | + | 1.40475i | ||||
\(476\) | 2162.77 | + | 493.639i | 0.208258 | + | 0.0475334i | ||||
\(477\) | 3268.67 | 0.313757 | ||||||||
\(478\) | 5927.39i | 0.567181i | ||||||||
\(479\) | −1502.72 | − | 1884.35i | −0.143342 | − | 0.179745i | 0.704978 | − | 0.709229i | \(-0.250957\pi\) |
−0.848320 | + | 0.529484i | \(0.822386\pi\) | |||||||
\(480\) | 14082.5 | + | 29242.7i | 1.33912 | + | 2.78071i | ||||
\(481\) | 11081.2i | 1.05043i | ||||||||
\(482\) | 3876.24 | − | 4860.65i | 0.366303 | − | 0.459329i | ||||
\(483\) | 2580.53 | + | 588.990i | 0.243102 | + | 0.0554865i | ||||
\(484\) | 4102.94 | − | 5144.92i | 0.385325 | − | 0.483182i | ||||
\(485\) | −22859.1 | + | 18229.5i | −2.14016 | + | 1.70672i | ||||
\(486\) | −1443.30 | − | 1809.85i | −0.134711 | − | 0.168922i | ||||
\(487\) | −16372.9 | −1.52346 | −0.761731 | − | 0.647894i | \(-0.775650\pi\) | ||||
−0.761731 | + | 0.647894i | \(0.775650\pi\) | |||||||
\(488\) | 3196.36 | + | 2549.01i | 0.296501 | + | 0.236451i | ||||
\(489\) | 1006.88 | − | 2090.82i | 0.0931143 | − | 0.193354i | ||||
\(490\) | −6889.72 | + | 8639.44i | −0.635196 | + | 0.796510i | ||||
\(491\) | −15095.4 | − | 7269.56i | −1.38747 | − | 0.668169i | −0.416889 | − | 0.908957i | \(-0.636880\pi\) |
−0.970578 | + | 0.240789i | \(0.922594\pi\) | |||||||
\(492\) | −19894.7 | − | 4540.84i | −1.82301 | − | 0.416091i | ||||
\(493\) | 18957.1 | + | 4326.83i | 1.73181 | + | 0.395275i | ||||
\(494\) | −7060.67 | − | 3400.24i | −0.643066 | − | 0.309684i | ||||
\(495\) | −2178.30 | + | 2731.50i | −0.197793 | + | 0.248024i | ||||
\(496\) | 78.8583 | − | 163.751i | 0.00713879 | − | 0.0148239i | ||||
\(497\) | −1043.32 | − | 832.020i | −0.0941635 | − | 0.0750929i | ||||
\(498\) | −11858.9 | −1.06708 | ||||||||
\(499\) | 8874.56 | + | 11128.4i | 0.796152 | + | 0.998344i | 0.999814 | + | 0.0193022i | \(0.00614446\pi\) |
−0.203661 | + | 0.979041i | \(0.565284\pi\) | |||||||
\(500\) | 10070.6 | − | 8031.00i | 0.900737 | − | 0.718314i | ||||
\(501\) | −8742.83 | + | 10963.2i | −0.779642 | + | 0.977640i | ||||
\(502\) | −2899.41 | − | 661.771i | −0.257783 | − | 0.0588373i | ||||
\(503\) | −6316.58 | + | 7920.74i | −0.559925 | + | 0.702124i | −0.978544 | − | 0.206038i | \(-0.933943\pi\) |
0.418619 | + | 0.908162i | \(0.362514\pi\) | |||||||
\(504\) | − | 5366.93i | − | 0.474330i | ||||||
\(505\) | 2068.91 | + | 4296.14i | 0.182308 | + | 0.378566i | ||||
\(506\) | 235.523 | + | 295.337i | 0.0206923 | + | 0.0259473i | ||||
\(507\) | 15493.5i | 1.35718i | ||||||||
\(508\) | −6585.53 | −0.575169 | ||||||||
\(509\) | −12213.1 | − | 2787.57i | −1.06353 | − | 0.242744i | −0.345261 | − | 0.938507i | \(-0.612210\pi\) |
−0.718272 | + | 0.695762i | \(0.755067\pi\) | |||||||
\(510\) | 20500.2 | + | 25706.5i | 1.77993 | + | 2.23196i | ||||
\(511\) | 1427.78 | + | 2964.81i | 0.123603 | + | 0.256664i | ||||
\(512\) | 104.660 | + | 217.329i | 0.00903393 | + | 0.0187591i | ||||
\(513\) | −15284.7 | − | 12189.2i | −1.31547 | − | 1.04905i | ||||
\(514\) | − | 5992.54i | − | 0.514241i | ||||||
\(515\) | 23844.0 | − | 11482.7i | 2.04018 | − | 0.982500i | ||||
\(516\) | −7092.11 | − | 14726.9i | −0.605064 | − | 1.25643i | ||||
\(517\) | 328.377 | + | 261.872i | 0.0279343 | + | 0.0222768i | ||||
\(518\) | 1014.84 | − | 809.306i | 0.0860799 | − | 0.0686464i | ||||
\(519\) | −20079.9 | + | 4583.10i | −1.69828 | + | 0.387622i | ||||
\(520\) | −11935.6 | + | 24784.6i | −1.00656 | + | 2.09014i | ||||
\(521\) | 10403.1 | + | 5009.86i | 0.874793 | + | 0.421278i | 0.816720 | − | 0.577034i | \(-0.195790\pi\) |
0.0580732 | + | 0.998312i | \(0.481504\pi\) | |||||||
\(522\) | − | 18051.7i | − | 1.51361i | ||||||
\(523\) | − | 7320.62i | − | 0.612062i | −0.952022 | − | 0.306031i | \(-0.900999\pi\) | ||
0.952022 | − | 0.306031i | \(-0.0990010\pi\) | |||||||
\(524\) | 3949.25 | − | 3149.42i | 0.329244 | − | 0.262563i | ||||
\(525\) | −9643.76 | + | 2201.13i | −0.801692 | + | 0.182981i | ||||
\(526\) | −2027.64 | + | 976.461i | −0.168079 | + | 0.0809424i | ||||
\(527\) | 6426.63 | − | 28156.9i | 0.531211 | − | 2.32739i | ||||
\(528\) | −11.9957 | + | 15.0421i | −0.000988722 | + | 0.00123982i | ||||
\(529\) | 6692.76 | − | 3223.06i | 0.550075 | − | 0.264902i | ||||
\(530\) | 436.702 | + | 1913.32i | 0.0357908 | + | 0.156810i | ||||
\(531\) | 5277.99 | − | 23124.4i | 0.431347 | − | 1.88986i | ||||
\(532\) | −337.101 | − | 1476.94i | −0.0274722 | − | 0.120363i | ||||
\(533\) | −12128.7 | − | 25185.6i | −0.985654 | − | 2.04673i | ||||
\(534\) | 11340.0 | + | 2588.28i | 0.918969 | + | 0.209749i | ||||
\(535\) | 6548.55 | + | 13598.2i | 0.529193 | + | 1.09888i | ||||
\(536\) | −3316.49 | + | 14530.5i | −0.267259 | + | 1.17094i | ||||
\(537\) | −2477.72 | − | 1193.21i | −0.199109 | − | 0.0958858i | ||||
\(538\) | −8374.58 | + | 4032.99i | −0.671104 | + | 0.323187i | ||||
\(539\) | −1001.73 | − | 228.638i | −0.0800509 | − | 0.0182711i | ||||
\(540\) | −16418.8 | + | 20588.5i | −1.30843 | + | 1.64072i | ||||
\(541\) | −3244.46 | − | 2587.37i | −0.257838 | − | 0.205619i | 0.486036 | − | 0.873939i | \(-0.338442\pi\) |
−0.743874 | + | 0.668320i | \(0.767014\pi\) | |||||||
\(542\) | −1753.74 | − | 844.558i | −0.138985 | − | 0.0669315i | ||||
\(543\) | 11296.3 | − | 9008.49i | 0.892763 | − | 0.711954i | ||||
\(544\) | 11987.6 | + | 15032.0i | 0.944787 | + | 1.18473i | ||||
\(545\) | −5566.04 | − | 11558.0i | −0.437473 | − | 0.908423i | ||||
\(546\) | 3258.35 | − | 2598.45i | 0.255393 | − | 0.203669i | ||||
\(547\) | −7073.37 | + | 5640.82i | −0.552898 | + | 0.440922i | −0.859661 | − | 0.510864i | \(-0.829325\pi\) |
0.306763 | + | 0.951786i | \(0.400754\pi\) | |||||||
\(548\) | 925.342 | + | 4054.19i | 0.0721326 | + | 0.316034i | ||||
\(549\) | −2282.04 | + | 9998.26i | −0.177404 | + | 0.777260i | ||||
\(550\) | −1271.90 | − | 612.513i | −0.0986070 | − | 0.0474866i | ||||
\(551\) | −2954.75 | − | 12945.6i | −0.228451 | − | 1.00091i | ||||
\(552\) | 8849.48 | + | 11096.9i | 0.682353 | + | 0.855644i | ||||
\(553\) | 3591.05 | − | 819.633i | 0.276143 | − | 0.0630278i | ||||
\(554\) | −2772.98 | − | 3477.21i | −0.212658 | − | 0.266665i | ||||
\(555\) | −31749.0 | −2.42823 | ||||||||
\(556\) | 10272.4 | + | 8191.97i | 0.783538 | + | 0.624851i | ||||
\(557\) | −3910.95 | + | 17135.0i | −0.297508 | + | 1.30347i | 0.576316 | + | 0.817227i | \(0.304490\pi\) |
−0.873824 | + | 0.486242i | \(0.838367\pi\) | |||||||
\(558\) | −26812.2 | −2.03414 | ||||||||
\(559\) | 9715.22 | − | 20173.9i | 0.735080 | − | 1.52641i | ||||
\(560\) | −53.4188 | + | 12.1925i | −0.00403099 | + | 0.000920048i | ||||
\(561\) | −1326.50 | + | 2754.50i | −0.0998304 | + | 0.207300i | ||||
\(562\) | 1514.53 | + | 6635.61i | 0.113678 | + | 0.498054i | ||||
\(563\) | −839.460 | − | 3677.91i | −0.0628401 | − | 0.275321i | 0.933740 | − | 0.357952i | \(-0.116525\pi\) |
−0.996580 | + | 0.0826312i | \(0.973668\pi\) | |||||||
\(564\) | 4734.66 | + | 3775.77i | 0.353485 | + | 0.281895i | ||||
\(565\) | 15645.6 | + | 7534.53i | 1.16498 | + | 0.561027i | ||||
\(566\) | −2709.68 | − | 3397.83i | −0.201230 | − | 0.252335i | ||||
\(567\) | 3578.40 | − | 1723.27i | 0.265042 | − | 0.127637i | ||||
\(568\) | −1592.31 | − | 6976.35i | −0.117626 | − | 0.515354i | ||||
\(569\) | 9576.36 | − | 4611.73i | 0.705557 | − | 0.339778i | −0.0464619 | − | 0.998920i | \(-0.514795\pi\) |
0.752019 | + | 0.659142i | \(0.229080\pi\) | |||||||
\(570\) | 9742.13 | − | 20229.7i | 0.715882 | − | 1.48654i | ||||
\(571\) | − | 11578.9i | − | 0.848620i | −0.905517 | − | 0.424310i | \(-0.860517\pi\) | ||
0.905517 | − | 0.424310i | \(-0.139483\pi\) | |||||||
\(572\) | −981.540 | −0.0717487 | ||||||||
\(573\) | 542.387 | + | 123.796i | 0.0395437 | + | 0.00902558i | ||||
\(574\) | −1420.74 | + | 2950.19i | −0.103311 | + | 0.214527i | ||||
\(575\) | 11041.2 | − | 13845.2i | 0.800783 | − | 1.00415i | ||||
\(576\) | 10940.9 | − | 13719.4i | 0.791440 | − | 0.992434i | ||||
\(577\) | 16369.1i | 1.18103i | 0.807025 | + | 0.590517i | \(0.201076\pi\) | ||||
−0.807025 | + | 0.590517i | \(0.798924\pi\) | |||||||
\(578\) | 8554.24 | + | 6821.78i | 0.615588 | + | 0.490915i | ||||
\(579\) | 5643.25 | − | 1288.03i | 0.405053 | − | 0.0924506i | ||||
\(580\) | −17437.7 | + | 3980.05i | −1.24838 | + | 0.284936i | ||||
\(581\) | 698.786 | − | 3061.58i | 0.0498976 | − | 0.218616i | ||||
\(582\) | 21400.3 | + | 10305.9i | 1.52418 | + | 0.734006i | ||||
\(583\) | −142.670 | + | 113.775i | −0.0101351 | + | 0.00808249i | ||||
\(584\) | −3926.53 | + | 17203.3i | −0.278221 | + | 1.21897i | ||||
\(585\) | −69005.2 | −4.87694 | ||||||||
\(586\) | 5336.21 | − | 11080.8i | 0.376172 | − | 0.781129i | ||||
\(587\) | 1873.65 | − | 902.301i | 0.131744 | − | 0.0634446i | −0.366851 | − | 0.930280i | \(-0.619564\pi\) |
0.498595 | + | 0.866835i | \(0.333850\pi\) | |||||||
\(588\) | −14443.3 | − | 3296.58i | −1.01298 | − | 0.231205i | ||||
\(589\) | −19228.1 | + | 4388.68i | −1.34513 | + | 0.307016i | ||||
\(590\) | 14241.0 | 0.993717 | ||||||||
\(591\) | 25140.6 | − | 2630.76i | 1.74982 | − | 0.183105i | ||||
\(592\) | −118.355 | −0.00821683 | ||||||||
\(593\) | −16524.5 | + | 3771.60i | −1.14431 | + | 0.261182i | −0.752328 | − | 0.658789i | \(-0.771069\pi\) |
−0.391986 | + | 0.919971i | \(0.628212\pi\) | |||||||
\(594\) | 1446.55 | + | 330.166i | 0.0999203 | + | 0.0228062i | ||||
\(595\) | −7844.57 | + | 3777.75i | −0.540498 | + | 0.260290i | ||||
\(596\) | 1774.26 | − | 3684.30i | 0.121941 | − | 0.253212i | ||||
\(597\) | 25928.2 | 1.77750 | ||||||||
\(598\) | −1660.23 | + | 7273.95i | −0.113532 | + | 0.497414i | ||||
\(599\) | −10975.8 | + | 8752.91i | −0.748680 | + | 0.597052i | −0.921717 | − | 0.387863i | \(-0.873213\pi\) |
0.173037 | + | 0.984915i | \(0.444642\pi\) | |||||||
\(600\) | −47789.8 | − | 23014.4i | −3.25169 | − | 1.56593i | ||||
\(601\) | 3765.23 | − | 16496.5i | 0.255552 | − | 1.11965i | −0.670398 | − | 0.742002i | \(-0.733877\pi\) |
0.925950 | − | 0.377645i | \(-0.123266\pi\) | |||||||
\(602\) | −2557.11 | + | 583.644i | −0.173123 | + | 0.0395142i | ||||
\(603\) | −36449.4 | + | 8319.34i | −2.46158 | + | 0.561840i | ||||
\(604\) | −8864.12 | − | 7068.90i | −0.597146 | − | 0.476208i | ||||
\(605\) | 25827.8i | 1.73562i | ||||||||
\(606\) | 2415.26 | − | 3028.63i | 0.161903 | − | 0.203020i | ||||
\(607\) | −1323.50 | + | 1659.61i | −0.0884994 | + | 0.110975i | −0.824110 | − | 0.566430i | \(-0.808324\pi\) |
0.735610 | + | 0.677405i | \(0.236895\pi\) | |||||||
\(608\) | 5696.75 | − | 11829.4i | 0.379990 | − | 0.789057i | ||||
\(609\) | 6884.48 | + | 1571.34i | 0.458084 | + | 0.104555i | ||||
\(610\) | −6157.37 | −0.408696 | ||||||||
\(611\) | 8295.70i | 0.549276i | ||||||||
\(612\) | −12947.1 | + | 26885.0i | −0.855159 | + | 1.77576i | ||||
\(613\) | 25672.2 | − | 12363.1i | 1.69150 | − | 0.814583i | 0.696187 | − | 0.717860i | \(-0.254878\pi\) |
0.995311 | − | 0.0967222i | \(-0.0308358\pi\) | |||||||
\(614\) | 2760.68 | + | 12095.3i | 0.181452 | + | 0.794995i | ||||
\(615\) | 72159.9 | − | 34750.4i | 4.73133 | − | 2.27849i | ||||
\(616\) | 186.811 | + | 234.254i | 0.0122189 | + | 0.0153220i | ||||
\(617\) | 18141.1 | + | 8736.31i | 1.18369 | + | 0.570033i | 0.918983 | − | 0.394297i | \(-0.129012\pi\) |
0.264703 | + | 0.964330i | \(0.414726\pi\) | |||||||
\(618\) | −16809.2 | − | 13404.9i | −1.09412 | − | 0.872532i | ||||
\(619\) | 261.232 | + | 1144.53i | 0.0169625 | + | 0.0743176i | 0.982701 | − | 0.185200i | \(-0.0592934\pi\) |
−0.965738 | + | 0.259518i | \(0.916436\pi\) | |||||||
\(620\) | 5911.55 | + | 25900.2i | 0.382925 | + | 1.67771i | ||||
\(621\) | −8075.69 | + | 16769.3i | −0.521846 | + | 1.08362i | ||||
\(622\) | −10245.0 | + | 2338.36i | −0.660432 | + | 0.150739i | ||||
\(623\) | −1336.42 | + | 2775.11i | −0.0859433 | + | 0.178463i | ||||
\(624\) | −380.004 | −0.0243787 | ||||||||
\(625\) | −4093.91 | + | 17936.6i | −0.262011 | + | 1.14794i | ||||
\(626\) | −8488.75 | − | 6769.55i | −0.541979 | − | 0.432214i | ||||
\(627\) | 2087.78 | 0.132979 | ||||||||
\(628\) | 2570.15 | + | 3222.87i | 0.163313 | + | 0.204788i | ||||
\(629\) | −18335.7 | + | 4185.01i | −1.16231 | + | 0.265290i | ||||
\(630\) | 5039.75 | + | 6319.64i | 0.318712 | + | 0.399652i | ||||
\(631\) | 1056.22 | + | 4627.60i | 0.0666361 | + | 0.291952i | 0.997256 | − | 0.0740364i | \(-0.0235881\pi\) |
−0.930619 | + | 0.365988i | \(0.880731\pi\) | |||||||
\(632\) | 17795.5 | + | 8569.86i | 1.12004 | + | 0.539384i | ||||
\(633\) | −5206.80 | + | 22812.5i | −0.326938 | + | 1.43241i | ||||
\(634\) | −686.498 | − | 3007.74i | −0.0430037 | − | 0.188411i | ||||
\(635\) | 20208.1 | − | 16115.4i | 1.26289 | − | 1.00712i | ||||
\(636\) | −2057.06 | + | 1640.45i | −0.128251 | + | 0.102277i | ||||
\(637\) | −8805.27 | − | 18284.3i | −0.547689 | − | 1.13729i | ||||
\(638\) | 628.342 | + | 787.915i | 0.0389910 | + | 0.0488932i | ||||
\(639\) | 14033.9 | − | 11191.7i | 0.868816 | − | 0.692858i | ||||
\(640\) | −16097.4 | − | 7752.08i | −0.994226 | − | 0.478794i | ||||
\(641\) | 11619.9 | + | 9266.59i | 0.716006 | + | 0.570996i | 0.912287 | − | 0.409552i | \(-0.134315\pi\) |
−0.196281 | + | 0.980548i | \(0.562886\pi\) | |||||||
\(642\) | 7644.79 | − | 9586.26i | 0.469962 | − | 0.589314i | ||||
\(643\) | 19066.4 | + | 4351.78i | 1.16937 | + | 0.266901i | 0.762748 | − | 0.646695i | \(-0.223850\pi\) |
0.406622 | + | 0.913597i | \(0.366707\pi\) | |||||||
\(644\) | −1299.45 | + | 625.784i | −0.0795119 | + | 0.0382909i | ||||
\(645\) | 57800.7 | + | 27835.3i | 3.52853 | + | 1.69925i | ||||
\(646\) | 2959.69 | − | 12967.3i | 0.180259 | − | 0.789768i | ||||
\(647\) | 5371.41 | + | 11153.8i | 0.326386 | + | 0.677748i | 0.998004 | − | 0.0631499i | \(-0.0201146\pi\) |
−0.671618 | + | 0.740898i | \(0.734400\pi\) | |||||||
\(648\) | 20763.6 | + | 4739.17i | 1.25875 | + | 0.287303i | ||||
\(649\) | 574.538 | + | 1193.04i | 0.0347497 | + | 0.0721586i | ||||
\(650\) | −6204.48 | − | 27183.6i | −0.374400 | − | 1.64035i | ||||
\(651\) | 2333.90 | − | 10225.5i | 0.140511 | − | 0.615620i | ||||
\(652\) | 281.379 | + | 1232.80i | 0.0169013 | + | 0.0740494i | ||||
\(653\) | −23687.6 | + | 11407.4i | −1.41955 | + | 0.683621i | −0.977023 | − | 0.213133i | \(-0.931633\pi\) |
−0.442530 | + | 0.896754i | \(0.645919\pi\) | |||||||
\(654\) | −6497.81 | + | 8148.00i | −0.388508 | + | 0.487174i | ||||
\(655\) | −4411.58 | + | 19328.4i | −0.263167 | + | 1.15301i | ||||
\(656\) | 269.001 | − | 129.544i | 0.0160102 | − | 0.00771012i | ||||
\(657\) | −43154.0 | + | 9849.61i | −2.56255 | + | 0.584886i | ||||
\(658\) | 759.738 | − | 605.871i | 0.0450116 | − | 0.0358956i | ||||
\(659\) | − | 14147.1i | − | 0.836256i | −0.908388 | − | 0.418128i | \(-0.862686\pi\) | ||
0.908388 | − | 0.418128i | \(-0.137314\pi\) | |||||||
\(660\) | − | 2812.24i | − | 0.165858i | ||||||
\(661\) | −2226.97 | − | 1072.45i | −0.131043 | − | 0.0631068i | 0.367214 | − | 0.930137i | \(-0.380312\pi\) |
−0.498256 | + | 0.867030i | \(0.666026\pi\) | |||||||
\(662\) | −8579.10 | + | 17814.7i | −0.503680 | + | 1.04590i | ||||
\(663\) | −58870.7 | + | 13436.8i | −3.44849 | + | 0.787095i | ||||
\(664\) | 13165.5 | − | 10499.2i | 0.769460 | − | 0.613624i | ||||
\(665\) | 4648.62 | + | 3707.15i | 0.271076 | + | 0.216176i | ||||
\(666\) | 7575.62 | + | 15730.9i | 0.440765 | + | 0.915258i | ||||
\(667\) | −11389.9 | + | 5485.11i | −0.661200 | + | 0.318417i | ||||
\(668\) | − | 7640.76i | − | 0.442560i | ||||||
\(669\) | 29891.1 | + | 23837.4i | 1.72744 | + | 1.37759i | ||||
\(670\) | −9739.45 | − | 20224.2i | −0.561594 | − | 1.16616i | ||||
\(671\) | −248.412 | − | 515.833i | −0.0142919 | − | 0.0296774i | ||||
\(672\) | 4353.43 | + | 5459.03i | 0.249906 | + | 0.313373i | ||||
\(673\) | 2810.80 | + | 641.547i | 0.160993 | + | 0.0367457i | 0.302258 | − | 0.953226i | \(-0.402260\pi\) |
−0.141265 | + | 0.989972i | \(0.545117\pi\) | |||||||
\(674\) | 9596.80 | 0.548449 | ||||||||
\(675\) | − | 69557.4i | − | 3.96632i | ||||||
\(676\) | −5263.71 | − | 6600.48i | −0.299483 | − | 0.375539i | ||||
\(677\) | 1947.45 | + | 4043.93i | 0.110556 | + | 0.229573i | 0.948905 | − | 0.315562i | \(-0.102193\pi\) |
−0.838349 | + | 0.545134i | \(0.816479\pi\) | |||||||
\(678\) | − | 14107.4i | − | 0.799103i | ||||||
\(679\) | −3921.66 | + | 4917.61i | −0.221649 | + | 0.277939i | ||||
\(680\) | −45518.1 | − | 10389.2i | −2.56697 | − | 0.585894i | ||||
\(681\) | −27848.2 | + | 34920.6i | −1.56703 | + | 1.96499i | ||||
\(682\) | 1170.29 | − | 933.273i | 0.0657077 | − | 0.0524001i | ||||
\(683\) | −16143.0 | − | 20242.7i | −0.904385 | − | 1.13406i | −0.990464 | − | 0.137774i | \(-0.956005\pi\) |
0.0860788 | − | 0.996288i | \(-0.472566\pi\) | |||||||
\(684\) | 20377.5 | 1.13911 | ||||||||
\(685\) | −12760.4 | − | 10176.1i | −0.711754 | − | 0.567605i | ||||
\(686\) | −2118.95 | + | 4400.05i | −0.117933 | + | 0.244890i | ||||
\(687\) | 31722.6 | − | 39778.9i | 1.76171 | − | 2.20911i | ||||
\(688\) | 215.472 | + | 103.766i | 0.0119401 | + | 0.00575005i | ||||
\(689\) | −3513.86 | − | 802.014i | −0.194292 | − | 0.0443459i | ||||
\(690\) | −20840.8 | − | 4756.77i | −1.14985 | − | 0.262445i | ||||
\(691\) | 746.602 | + | 359.545i | 0.0411029 | + | 0.0197941i | 0.454322 | − | 0.890837i | \(-0.349881\pi\) |
−0.413219 | + | 0.910631i | \(0.635596\pi\) | |||||||
\(692\) | 6997.33 | − | 8774.38i | 0.384391 | − | 0.482011i | ||||
\(693\) | −326.105 | + | 677.163i | −0.0178755 | + | 0.0371188i | ||||
\(694\) | 2493.20 | + | 1988.26i | 0.136370 | + | 0.108751i | ||||
\(695\) | −51568.0 | −2.81451 | ||||||||
\(696\) | 23609.1 | + | 29604.9i | 1.28578 | + | 1.61231i | ||||
\(697\) | 37093.3 | − | 29580.9i | 2.01579 | − | 1.60754i | ||||
\(698\) | −12590.5 | + | 15788.0i | −0.682748 | + | 0.856139i | ||||
\(699\) | −37015.7 | − | 8448.58i | −2.00295 | − | 0.457160i | ||||
\(700\) | 3360.61 | − | 4214.07i | 0.181456 | − | 0.227538i | ||||
\(701\) | − | 16732.2i | − | 0.901519i | −0.892645 | − | 0.450760i | \(-0.851153\pi\) | ||
0.892645 | − | 0.450760i | \(-0.148847\pi\) | |||||||
\(702\) | 12715.3 | + | 26403.6i | 0.683631 | + | 1.41957i | ||||
\(703\) | 8007.66 | + | 10041.3i | 0.429608 | + | 0.538712i | ||||
\(704\) | 979.647i | 0.0524458i | ||||||||
\(705\) | −23768.2 | −1.26974 | ||||||||
\(706\) | −11331.7 | − | 2586.38i | −0.604068 | − | 0.137875i | ||||
\(707\) | 639.578 | + | 802.005i | 0.0340223 | + | 0.0426627i | ||||
\(708\) | 8283.89 | + | 17201.7i | 0.439729 | + | 0.913106i | ||||
\(709\) | 756.212 | + | 1570.29i | 0.0400566 | + | 0.0831784i | 0.920037 | − | 0.391832i | \(-0.128159\pi\) |
−0.879980 | + | 0.475010i | \(0.842444\pi\) | |||||||
\(710\) | 8426.01 | + | 6719.52i | 0.445384 | + | 0.355182i | ||||
\(711\) | 49546.2i | 2.61340i | ||||||||
\(712\) | −14881.0 | + | 7166.31i | −0.783271 | + | 0.377204i | ||||
\(713\) | 8147.00 | + | 16917.4i | 0.427921 | + | 0.888587i | ||||
\(714\) | 5530.16 | + | 4410.15i | 0.289861 | + | 0.231157i | ||||
\(715\) | 3011.91 | − | 2401.92i | 0.157537 | − | 0.125632i | ||||
\(716\) | 1460.93 | − | 333.447i | 0.0762534 | − | 0.0174043i | ||||
\(717\) | 13532.5 | − | 28100.5i | 0.704855 | − | 1.46365i | ||||
\(718\) | 1315.82 | + | 633.668i | 0.0683930 | + | 0.0329363i | ||||
\(719\) | 16715.9i | 0.867034i | 0.901145 | + | 0.433517i | \(0.142728\pi\) | ||||
−0.901145 | + | 0.433517i | \(0.857272\pi\) | |||||||
\(720\) | − | 737.027i | − | 0.0381491i | ||||||
\(721\) | 4451.21 | − | 3549.72i | 0.229919 | − | 0.183354i | ||||
\(722\) | 2762.82 | − | 630.596i | 0.142412 | − | 0.0325046i | ||||
\(723\) | −29473.6 | + | 14193.7i | −1.51609 | + | 0.730111i | ||||
\(724\) | −1751.89 | + | 7675.55i | −0.0899290 | + | 0.394005i | ||||
\(725\) | 29456.3 | − | 36937.0i | 1.50894 | − | 1.89215i | ||||
\(726\) | 18904.3 | − | 9103.84i | 0.966398 | − | 0.465393i | ||||
\(727\) | −3039.54 | − | 13317.1i | −0.155062 | − | 0.679373i | −0.991368 | − | 0.131109i | \(-0.958146\pi\) |
0.836306 | − | 0.548264i | \(-0.184711\pi\) | |||||||
\(728\) | −1316.85 | + | 5769.51i | −0.0670410 | + | 0.293726i | ||||
\(729\) | −2962.95 | − | 12981.5i | −0.150533 | − | 0.659530i | ||||
\(730\) | −11530.9 | − | 23944.3i | −0.584629 | − | 1.21400i | ||||
\(731\) | 37050.3 | + | 8456.48i | 1.87463 | + | 0.427872i | ||||
\(732\) | −3581.70 | − | 7437.47i | −0.180852 | − | 0.375542i | ||||
\(733\) | 1900.50 | − | 8326.65i | 0.0957664 | − | 0.419580i | −0.904205 | − | 0.427098i | \(-0.859536\pi\) |
0.999972 | + | 0.00751810i | \(0.00239311\pi\) | |||||||
\(734\) | 19450.3 | + | 9366.75i | 0.978096 | + | 0.471026i | ||||
\(735\) | 52387.0 | − | 25228.2i | 2.62901 | − | 1.26606i | ||||
\(736\) | −12186.7 | − | 2781.54i | −0.610339 | − | 0.139306i | ||||
\(737\) | 1301.35 | − | 1631.84i | 0.0650420 | − | 0.0815600i | ||||
\(738\) | −34436.2 | − | 27461.9i | −1.71763 | − | 1.36977i | ||||
\(739\) | 14718.1 | + | 7087.88i | 0.732632 | + | 0.352817i | 0.762719 | − | 0.646730i | \(-0.223864\pi\) |
−0.0300865 | + | 0.999547i | \(0.509578\pi\) | |||||||
\(740\) | 13525.6 | − | 10786.3i | 0.671907 | − | 0.535828i | ||||
\(741\) | 25710.3 | + | 32239.7i | 1.27462 | + | 1.59832i | ||||
\(742\) | 183.182 | + | 380.381i | 0.00906310 | + | 0.0188197i | ||||
\(743\) | 14060.1 | − | 11212.6i | 0.694233 | − | 0.553632i | −0.211554 | − | 0.977366i | \(-0.567852\pi\) |
0.905787 | + | 0.423734i | \(0.139281\pi\) | |||||||
\(744\) | 43972.0 | − | 35066.5i | 2.16679 | − | 1.72796i | ||||
\(745\) | 3571.38 | + | 15647.3i | 0.175631 | + | 0.769491i | ||||
\(746\) | 3319.48 | − | 14543.6i | 0.162915 | − | 0.713778i | ||||
\(747\) | 38057.9 | + | 18327.7i | 1.86408 | + | 0.897692i | ||||
\(748\) | −370.697 | − | 1624.13i | −0.0181203 | − | 0.0793904i | ||||
\(749\) | 2024.40 | + | 2538.51i | 0.0987582 | + | 0.123839i | ||||
\(750\) | 40040.4 | − | 9138.95i | 1.94942 | − | 0.444943i | ||||
\(751\) | −6301.97 | − | 7902.42i | −0.306208 | − | 0.383973i | 0.604789 | − | 0.796386i | \(-0.293257\pi\) |
−0.910997 | + | 0.412413i | \(0.864686\pi\) | |||||||
\(752\) | −88.6042 | −0.00429663 | ||||||||
\(753\) | 12234.6 | + | 9756.81i | 0.592105 | + | 0.472188i | ||||
\(754\) | −4429.25 | + | 19405.8i | −0.213931 | + | 0.937291i | ||||
\(755\) | 44498.3 | 2.14498 | ||||||||
\(756\) | −2457.99 | + | 5104.07i | −0.118249 | + | 0.245547i | ||||
\(757\) | 17646.5 | − | 4027.69i | 0.847255 | − | 0.193380i | 0.223212 | − | 0.974770i | \(-0.428346\pi\) |
0.624044 | + | 0.781390i | \(0.285489\pi\) | |||||||
\(758\) | −216.511 | + | 449.590i | −0.0103747 | + | 0.0215433i | ||||
\(759\) | −442.300 | − | 1937.84i | −0.0211521 | − | 0.0926736i | ||||
\(760\) | 7094.69 | + | 31083.9i | 0.338620 | + | 1.48359i | ||||
\(761\) | 7513.17 | + | 5991.56i | 0.357887 | + | 0.285406i | 0.785883 | − | 0.618375i | \(-0.212209\pi\) |
−0.427996 | + | 0.903781i | \(0.640780\pi\) | |||||||
\(762\) | −18918.5 | − | 9110.66i | −0.899402 | − | 0.433129i | ||||
\(763\) | −1720.67 | − | 2157.65i | −0.0816414 | − | 0.102375i | ||||
\(764\) | −273.124 | + | 131.530i | −0.0129336 | + | 0.00622851i | ||||
\(765\) | −26061.1 | − | 114181.i | −1.23169 | − | 5.39637i | ||||
\(766\) | −7954.99 | + | 3830.92i | −0.375229 | + | 0.180701i | ||||
\(767\) | −11347.8 | + |