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 | 6.9 | ||
Character | \(\chi\) | \(=\) | 197.6 |
Dual form | 197.4.e.a.33.9 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −3.46189 | + | 0.790154i | −1.22396 | + | 0.279361i | −0.785200 | − | 0.619242i | \(-0.787440\pi\) |
−0.438762 | + | 0.898603i | \(0.644583\pi\) | |||||||
\(3\) | −6.86422 | − | 1.56671i | −1.32102 | − | 0.301514i | −0.496840 | − | 0.867842i | \(-0.665506\pi\) |
−0.824180 | + | 0.566328i | \(0.808363\pi\) | |||||||
\(4\) | 4.15258 | − | 1.99978i | 0.519073 | − | 0.249972i | ||||
\(5\) | −5.36100 | + | 11.1322i | −0.479503 | + | 0.995697i | 0.511176 | + | 0.859476i | \(0.329210\pi\) |
−0.990678 | + | 0.136221i | \(0.956504\pi\) | |||||||
\(6\) | 25.0011 | 1.70111 | ||||||||
\(7\) | −6.97041 | + | 30.5394i | −0.376367 | + | 1.64897i | 0.332113 | + | 0.943240i | \(0.392238\pi\) |
−0.708480 | + | 0.705731i | \(0.750619\pi\) | |||||||
\(8\) | 9.41411 | − | 7.50750i | 0.416049 | − | 0.331788i | ||||
\(9\) | 20.3367 | + | 9.79366i | 0.753213 | + | 0.362728i | ||||
\(10\) | 9.76302 | − | 42.7746i | 0.308734 | − | 1.35265i | ||||
\(11\) | 51.0601 | − | 11.6541i | 1.39956 | − | 0.319441i | 0.544847 | − | 0.838535i | \(-0.316588\pi\) |
0.854717 | + | 0.519094i | \(0.173730\pi\) | |||||||
\(12\) | −31.6373 | + | 7.22101i | −0.761075 | + | 0.173710i | ||||
\(13\) | 36.5528 | + | 29.1499i | 0.779841 | + | 0.621903i | 0.930336 | − | 0.366708i | \(-0.119515\pi\) |
−0.150495 | + | 0.988611i | \(0.548087\pi\) | |||||||
\(14\) | − | 111.232i | − | 2.12342i | ||||||
\(15\) | 54.2401 | − | 68.0149i | 0.933649 | − | 1.17076i | ||||
\(16\) | −49.6479 | + | 62.2565i | −0.775749 | + | 0.972758i | ||||
\(17\) | −35.1628 | + | 73.0164i | −0.501661 | + | 1.04171i | 0.484326 | + | 0.874888i | \(0.339065\pi\) |
−0.985987 | + | 0.166822i | \(0.946649\pi\) | |||||||
\(18\) | −78.1420 | − | 17.8354i | −1.02324 | − | 0.233547i | ||||
\(19\) | 68.1535 | 0.822920 | 0.411460 | − | 0.911428i | \(-0.365019\pi\) | ||||
0.411460 | + | 0.911428i | \(0.365019\pi\) | |||||||
\(20\) | 56.9483i | 0.636702i | ||||||||
\(21\) | 95.6928 | − | 198.708i | 0.994376 | − | 2.06484i | ||||
\(22\) | −167.556 | + | 80.6907i | −1.62378 | + | 0.781969i | ||||
\(23\) | 43.0673 | + | 188.690i | 0.390442 | + | 1.71064i | 0.663104 | + | 0.748528i | \(0.269239\pi\) |
−0.272662 | + | 0.962110i | \(0.587904\pi\) | |||||||
\(24\) | −76.3826 | + | 36.7839i | −0.649647 | + | 0.312854i | ||||
\(25\) | −17.2501 | − | 21.6309i | −0.138001 | − | 0.173047i | ||||
\(26\) | −149.575 | − | 72.0314i | −1.12823 | − | 0.543328i | ||||
\(27\) | 24.3743 | + | 19.4378i | 0.173734 | + | 0.138549i | ||||
\(28\) | 32.1267 | + | 140.756i | 0.216835 | + | 0.950017i | ||||
\(29\) | 9.24750 | + | 40.5160i | 0.0592144 | + | 0.259435i | 0.995867 | − | 0.0908248i | \(-0.0289503\pi\) |
−0.936652 | + | 0.350260i | \(0.886093\pi\) | |||||||
\(30\) | −134.031 | + | 278.318i | −0.815686 | + | 1.69379i | ||||
\(31\) | −197.401 | + | 45.0554i | −1.14368 | + | 0.261038i | −0.752065 | − | 0.659089i | \(-0.770942\pi\) |
−0.391619 | + | 0.920127i | \(0.628085\pi\) | |||||||
\(32\) | 80.8879 | − | 167.965i | 0.446847 | − | 0.927887i | ||||
\(33\) | −368.747 | −1.94517 | ||||||||
\(34\) | 64.0357 | − | 280.559i | 0.323001 | − | 1.41516i | ||||
\(35\) | −302.603 | − | 241.318i | −1.46141 | − | 1.16543i | ||||
\(36\) | 104.035 | 0.481644 | ||||||||
\(37\) | 81.4516 | + | 102.137i | 0.361907 | + | 0.453817i | 0.929133 | − | 0.369745i | \(-0.120555\pi\) |
−0.567226 | + | 0.823562i | \(0.691983\pi\) | |||||||
\(38\) | −235.940 | + | 53.8517i | −1.00722 | + | 0.229892i | ||||
\(39\) | −205.237 | − | 257.359i | −0.842673 | − | 1.05668i | ||||
\(40\) | 33.1062 | + | 145.048i | 0.130864 | + | 0.573352i | ||||
\(41\) | 109.623 | + | 52.7917i | 0.417567 | + | 0.201090i | 0.630857 | − | 0.775899i | \(-0.282703\pi\) |
−0.213290 | + | 0.976989i | \(0.568418\pi\) | |||||||
\(42\) | −174.268 | + | 763.518i | −0.640241 | + | 2.80508i | ||||
\(43\) | −76.1644 | − | 333.698i | −0.270115 | − | 1.18345i | −0.909877 | − | 0.414879i | \(-0.863824\pi\) |
0.639761 | − | 0.768574i | \(-0.279033\pi\) | |||||||
\(44\) | 188.726 | − | 150.504i | 0.646624 | − | 0.515666i | ||||
\(45\) | −218.051 | + | 173.890i | −0.722335 | + | 0.576043i | ||||
\(46\) | −298.189 | − | 619.195i | −0.955772 | − | 1.98468i | ||||
\(47\) | 213.666 | + | 267.928i | 0.663114 | + | 0.831519i | 0.993678 | − | 0.112265i | \(-0.0358105\pi\) |
−0.330564 | + | 0.943783i | \(0.607239\pi\) | |||||||
\(48\) | 438.332 | − | 349.558i | 1.31808 | − | 1.05113i | ||||
\(49\) | −575.034 | − | 276.922i | −1.67648 | − | 0.807352i | ||||
\(50\) | 76.8096 | + | 61.2536i | 0.217250 | + | 0.173251i | ||||
\(51\) | 355.761 | − | 446.110i | 0.976794 | − | 1.22486i | ||||
\(52\) | 210.082 | + | 47.9498i | 0.560253 | + | 0.127874i | ||||
\(53\) | 323.807 | − | 155.937i | 0.839213 | − | 0.404144i | 0.0356510 | − | 0.999364i | \(-0.488650\pi\) |
0.803563 | + | 0.595220i | \(0.202935\pi\) | |||||||
\(54\) | −99.7398 | − | 48.0322i | −0.251349 | − | 0.121044i | ||||
\(55\) | −143.997 | + | 630.891i | −0.353028 | + | 1.54672i | ||||
\(56\) | 163.654 | + | 339.831i | 0.390522 | + | 0.810926i | ||||
\(57\) | −467.821 | − | 106.777i | −1.08709 | − | 0.248122i | ||||
\(58\) | −64.0276 | − | 132.955i | −0.144952 | − | 0.300997i | ||||
\(59\) | 114.468 | + | 501.519i | 0.252585 | + | 1.10665i | 0.928986 | + | 0.370114i | \(0.120681\pi\) |
−0.676401 | + | 0.736533i | \(0.736462\pi\) | |||||||
\(60\) | 89.2217 | − | 390.906i | 0.191974 | − | 0.841095i | ||||
\(61\) | −6.93619 | − | 30.3894i | −0.0145588 | − | 0.0637863i | 0.967127 | − | 0.254295i | \(-0.0818434\pi\) |
−0.981686 | + | 0.190509i | \(0.938986\pi\) | |||||||
\(62\) | 647.778 | − | 311.954i | 1.32690 | − | 0.639002i | ||||
\(63\) | −440.848 | + | 552.805i | −0.881612 | + | 1.10551i | ||||
\(64\) | −5.55328 | + | 24.3305i | −0.0108462 | + | 0.0475205i | ||||
\(65\) | −520.464 | + | 250.642i | −0.993162 | + | 0.478282i | ||||
\(66\) | 1276.56 | − | 291.366i | 2.38081 | − | 0.543405i | ||||
\(67\) | −120.500 | + | 96.0953i | −0.219722 | + | 0.175223i | −0.727165 | − | 0.686463i | \(-0.759162\pi\) |
0.507443 | + | 0.861686i | \(0.330591\pi\) | |||||||
\(68\) | 373.524i | 0.666124i | ||||||||
\(69\) | − | 1362.69i | − | 2.37751i | ||||||
\(70\) | 1238.26 | + | 596.313i | 2.11428 | + | 1.01819i | ||||
\(71\) | −376.432 | + | 781.668i | −0.629214 | + | 1.30658i | 0.305844 | + | 0.952082i | \(0.401061\pi\) |
−0.935058 | + | 0.354495i | \(0.884653\pi\) | |||||||
\(72\) | 264.978 | − | 60.4796i | 0.433722 | − | 0.0989942i | ||||
\(73\) | 371.669 | − | 296.396i | 0.595899 | − | 0.475213i | −0.278490 | − | 0.960439i | \(-0.589834\pi\) |
0.874389 | + | 0.485226i | \(0.161263\pi\) | |||||||
\(74\) | −362.680 | − | 289.228i | −0.569740 | − | 0.454352i | ||||
\(75\) | 84.5188 | + | 175.505i | 0.130125 | + | 0.270208i | ||||
\(76\) | 283.013 | − | 136.292i | 0.427155 | − | 0.205707i | ||||
\(77\) | 1640.58i | 2.42807i | ||||||||
\(78\) | 913.861 | + | 728.780i | 1.32660 | + | 1.05792i | ||||
\(79\) | −286.693 | − | 595.323i | −0.408297 | − | 0.847837i | −0.999157 | − | 0.0410626i | \(-0.986926\pi\) |
0.590860 | − | 0.806774i | \(-0.298789\pi\) | |||||||
\(80\) | −426.892 | − | 886.450i | −0.596599 | − | 1.23885i | ||||
\(81\) | −516.840 | − | 648.097i | −0.708971 | − | 0.889022i | ||||
\(82\) | −421.217 | − | 96.1400i | −0.567264 | − | 0.129474i | ||||
\(83\) | 706.004 | 0.933663 | 0.466832 | − | 0.884346i | \(-0.345395\pi\) | ||||
0.466832 | + | 0.884346i | \(0.345395\pi\) | |||||||
\(84\) | − | 1016.52i | − | 1.32037i | ||||||
\(85\) | −624.327 | − | 782.882i | −0.796680 | − | 0.999005i | ||||
\(86\) | 527.345 | + | 1095.04i | 0.661222 | + | 1.37304i | ||||
\(87\) | − | 292.599i | − | 0.360573i | ||||||
\(88\) | 393.192 | − | 493.048i | 0.476300 | − | 0.597262i | ||||
\(89\) | 789.115 | + | 180.110i | 0.939843 | + | 0.214513i | 0.664887 | − | 0.746944i | \(-0.268480\pi\) |
0.274956 | + | 0.961457i | \(0.411337\pi\) | |||||||
\(90\) | 617.468 | − | 774.280i | 0.723187 | − | 0.906847i | ||||
\(91\) | −1145.01 | + | 913.114i | −1.31901 | + | 1.05187i | ||||
\(92\) | 556.179 | + | 697.427i | 0.630280 | + | 0.790346i | ||||
\(93\) | 1425.59 | 1.58954 | ||||||||
\(94\) | −951.392 | − | 758.710i | −1.04392 | − | 0.832499i | ||||
\(95\) | −365.371 | + | 758.701i | −0.394592 | + | 0.819379i | ||||
\(96\) | −818.386 | + | 1026.22i | −0.870064 | + | 1.09103i | ||||
\(97\) | 601.906 | + | 289.863i | 0.630045 | + | 0.303414i | 0.721520 | − | 0.692394i | \(-0.243444\pi\) |
−0.0914751 | + | 0.995807i | \(0.529158\pi\) | |||||||
\(98\) | 2209.51 | + | 504.307i | 2.27750 | + | 0.519824i | ||||
\(99\) | 1152.53 | + | 263.058i | 1.17004 | + | 0.267054i | ||||
\(100\) | −114.889 | − | 55.3278i | −0.114889 | − | 0.0553278i | ||||
\(101\) | 976.631 | − | 1224.66i | 0.962163 | − | 1.20651i | −0.0162529 | − | 0.999868i | \(-0.505174\pi\) |
0.978416 | − | 0.206646i | \(-0.0662549\pi\) | |||||||
\(102\) | −879.109 | + | 1825.49i | −0.853380 | + | 1.77206i | ||||
\(103\) | 66.6824 | + | 53.1774i | 0.0637904 | + | 0.0508711i | 0.654866 | − | 0.755745i | \(-0.272725\pi\) |
−0.591076 | + | 0.806616i | \(0.701297\pi\) | |||||||
\(104\) | 562.956 | 0.530792 | ||||||||
\(105\) | 1699.06 | + | 2130.55i | 1.57915 | + | 1.98019i | ||||
\(106\) | −997.770 | + | 795.695i | −0.914264 | + | 0.729101i | ||||
\(107\) | −911.419 | + | 1142.88i | −0.823460 | + | 1.03259i | 0.175383 | + | 0.984500i | \(0.443883\pi\) |
−0.998843 | + | 0.0480856i | \(0.984688\pi\) | |||||||
\(108\) | 140.087 | + | 31.9740i | 0.124814 | + | 0.0284880i | ||||
\(109\) | −950.675 | + | 1192.11i | −0.835396 | + | 1.04755i | 0.162749 | + | 0.986668i | \(0.447964\pi\) |
−0.998145 | + | 0.0608856i | \(0.980608\pi\) | |||||||
\(110\) | − | 2297.86i | − | 1.99174i | ||||||
\(111\) | −399.082 | − | 828.702i | −0.341254 | − | 0.708621i | ||||
\(112\) | −1555.21 | − | 1950.17i | −1.31208 | − | 1.64530i | ||||
\(113\) | − | 2198.90i | − | 1.83058i | −0.402795 | − | 0.915290i | \(-0.631961\pi\) | ||
0.402795 | − | 0.915290i | \(-0.368039\pi\) | |||||||
\(114\) | 1703.91 | 1.39988 | ||||||||
\(115\) | −2331.43 | − | 532.134i | −1.89050 | − | 0.431493i | ||||
\(116\) | 119.424 | + | 149.753i | 0.0955882 | + | 0.119864i | ||||
\(117\) | 457.881 | + | 950.800i | 0.361805 | + | 0.751295i | ||||
\(118\) | −792.553 | − | 1645.75i | −0.618309 | − | 1.28393i | ||||
\(119\) | −1984.77 | − | 1582.80i | −1.52894 | − | 1.21929i | ||||
\(120\) | − | 1047.51i | − | 0.796866i | ||||||
\(121\) | 1272.13 | − | 612.625i | 0.955769 | − | 0.460274i | ||||
\(122\) | 48.0246 | + | 99.7242i | 0.0356389 | + | 0.0740049i | ||||
\(123\) | −669.768 | − | 534.122i | −0.490983 | − | 0.391546i | ||||
\(124\) | −729.621 | + | 581.854i | −0.528403 | + | 0.421387i | ||||
\(125\) | −1172.48 | + | 267.611i | −0.838958 | + | 0.191487i | ||||
\(126\) | 1089.36 | − | 2262.09i | 0.770224 | − | 1.59939i | ||||
\(127\) | −608.014 | − | 292.804i | −0.424823 | − | 0.204584i | 0.209242 | − | 0.977864i | \(-0.432900\pi\) |
−0.634065 | + | 0.773280i | \(0.718615\pi\) | |||||||
\(128\) | 1402.80i | 0.968683i | ||||||||
\(129\) | 2409.90i | 1.64481i | ||||||||
\(130\) | 1603.74 | − | 1278.94i | 1.08198 | − | 0.862850i | ||||
\(131\) | 697.686 | − | 159.242i | 0.465322 | − | 0.106207i | 0.0165692 | − | 0.999863i | \(-0.494726\pi\) |
0.448752 | + | 0.893656i | \(0.351868\pi\) | |||||||
\(132\) | −1531.25 | + | 737.411i | −1.00968 | + | 0.486238i | ||||
\(133\) | −475.058 | + | 2081.36i | −0.309720 | + | 1.35697i | ||||
\(134\) | 341.227 | − | 427.885i | 0.219981 | − | 0.275848i | ||||
\(135\) | −347.057 | + | 167.134i | −0.221258 | + | 0.106552i | ||||
\(136\) | 217.144 | + | 951.369i | 0.136911 | + | 0.599847i | ||||
\(137\) | 207.915 | − | 910.937i | 0.129660 | − | 0.568077i | −0.867804 | − | 0.496906i | \(-0.834469\pi\) |
0.997464 | − | 0.0711710i | \(-0.0226736\pi\) | |||||||
\(138\) | 1076.73 | + | 4717.47i | 0.664184 | + | 2.90998i | ||||
\(139\) | −48.1744 | − | 100.035i | −0.0293964 | − | 0.0610423i | 0.885754 | − | 0.464156i | \(-0.153642\pi\) |
−0.915150 | + | 0.403114i | \(0.867928\pi\) | |||||||
\(140\) | −1739.17 | − | 396.953i | −1.04990 | − | 0.239633i | ||||
\(141\) | −1046.88 | − | 2173.87i | −0.625272 | − | 1.29839i | ||||
\(142\) | 685.526 | − | 3003.49i | 0.405127 | − | 1.77498i | ||||
\(143\) | 2206.11 | + | 1062.41i | 1.29010 | + | 0.621279i | ||||
\(144\) | −1619.40 | + | 779.860i | −0.937151 | + | 0.451308i | ||||
\(145\) | −500.609 | − | 114.261i | −0.286712 | − | 0.0654403i | ||||
\(146\) | −1052.48 | + | 1319.77i | −0.596601 | + | 0.748115i | ||||
\(147\) | 3513.30 | + | 2801.76i | 1.97124 | + | 1.57201i | ||||
\(148\) | 542.486 | + | 261.247i | 0.301298 | + | 0.145097i | ||||
\(149\) | 1154.23 | − | 920.468i | 0.634619 | − | 0.506092i | −0.252521 | − | 0.967591i | \(-0.581260\pi\) |
0.887140 | + | 0.461499i | \(0.152688\pi\) | |||||||
\(150\) | −431.271 | − | 540.797i | −0.234754 | − | 0.294372i | ||||
\(151\) | 452.972 | + | 940.606i | 0.244122 | + | 0.506924i | 0.986643 | − | 0.162899i | \(-0.0520844\pi\) |
−0.742521 | + | 0.669823i | \(0.766370\pi\) | |||||||
\(152\) | 641.605 | − | 511.663i | 0.342375 | − | 0.273035i | ||||
\(153\) | −1430.19 | + | 1140.54i | −0.755715 | + | 0.602663i | ||||
\(154\) | −1296.31 | − | 5679.50i | −0.678309 | − | 2.97186i | ||||
\(155\) | 556.698 | − | 2439.05i | 0.288484 | − | 1.26393i | ||||
\(156\) | −1366.92 | − | 658.276i | −0.701549 | − | 0.337848i | ||||
\(157\) | −526.690 | − | 2307.58i | −0.267735 | − | 1.17302i | −0.912641 | − | 0.408762i | \(-0.865961\pi\) |
0.644906 | − | 0.764262i | \(-0.276897\pi\) | |||||||
\(158\) | 1462.89 | + | 1834.41i | 0.736593 | + | 0.923658i | ||||
\(159\) | −2466.99 | + | 563.075i | −1.23047 | + | 0.280847i | ||||
\(160\) | 1436.19 | + | 1800.93i | 0.709630 | + | 0.889848i | ||||
\(161\) | −6062.68 | −2.96774 | ||||||||
\(162\) | 2301.34 | + | 1835.26i | 1.11611 | + | 0.890070i | ||||
\(163\) | −596.273 | + | 2612.44i | −0.286526 | + | 1.25535i | 0.602732 | + | 0.797944i | \(0.294079\pi\) |
−0.889258 | + | 0.457407i | \(0.848778\pi\) | |||||||
\(164\) | 560.791 | 0.267015 | ||||||||
\(165\) | 1976.85 | − | 4104.97i | 0.932713 | − | 1.93680i | ||||
\(166\) | −2444.11 | + | 557.852i | −1.14277 | + | 0.260829i | ||||
\(167\) | −1589.16 | + | 3299.93i | −0.736366 | + | 1.52908i | 0.108496 | + | 0.994097i | \(0.465396\pi\) |
−0.844863 | + | 0.534983i | \(0.820318\pi\) | |||||||
\(168\) | −590.940 | − | 2589.08i | −0.271381 | − | 1.18900i | ||||
\(169\) | −2.48601 | − | 10.8919i | −0.00113155 | − | 0.00495763i | ||||
\(170\) | 2779.95 | + | 2216.93i | 1.25419 | + | 1.00018i | ||||
\(171\) | 1386.02 | + | 667.472i | 0.619834 | + | 0.298496i | ||||
\(172\) | −983.601 | − | 1233.40i | −0.436040 | − | 0.546777i | ||||
\(173\) | 547.903 | − | 263.856i | 0.240788 | − | 0.115957i | −0.309599 | − | 0.950867i | \(-0.600195\pi\) |
0.550386 | + | 0.834910i | \(0.314480\pi\) | |||||||
\(174\) | 231.198 | + | 1012.94i | 0.100730 | + | 0.441328i | ||||
\(175\) | 780.834 | − | 376.030i | 0.337289 | − | 0.162430i | ||||
\(176\) | −1809.48 | + | 3757.43i | −0.774971 | + | 1.60924i | ||||
\(177\) | − | 3621.87i | − | 1.53806i | ||||||
\(178\) | −2874.14 | −1.21026 | ||||||||
\(179\) | −3185.94 | − | 727.171i | −1.33033 | − | 0.303638i | −0.502478 | − | 0.864590i | \(-0.667578\pi\) |
−0.827849 | + | 0.560951i | \(0.810435\pi\) | |||||||
\(180\) | −557.732 | + | 1158.14i | −0.230950 | + | 0.479572i | ||||
\(181\) | 1223.20 | − | 1533.84i | 0.502317 | − | 0.629886i | −0.464433 | − | 0.885608i | \(-0.653742\pi\) |
0.966750 | + | 0.255723i | \(0.0823134\pi\) | |||||||
\(182\) | 3242.39 | − | 4065.83i | 1.32056 | − | 1.65593i | ||||
\(183\) | 219.467i | 0.0886527i | ||||||||
\(184\) | 1822.03 | + | 1453.02i | 0.730012 | + | 0.582165i | ||||
\(185\) | −1573.68 | + | 359.181i | −0.625400 | + | 0.142743i | ||||
\(186\) | −4935.23 | + | 1126.43i | −1.94553 | + | 0.444055i | ||||
\(187\) | −944.476 | + | 4138.02i | −0.369342 | + | 1.61819i | ||||
\(188\) | 1423.06 | + | 685.310i | 0.552061 | + | 0.265858i | ||||
\(189\) | −763.517 | + | 608.885i | −0.293850 | + | 0.234338i | ||||
\(190\) | 665.384 | − | 2915.24i | 0.254063 | − | 1.11312i | ||||
\(191\) | 2763.04 | 1.04674 | 0.523368 | − | 0.852107i | \(-0.324675\pi\) | ||||
0.523368 | + | 0.852107i | \(0.324675\pi\) | |||||||
\(192\) | 76.2378 | − | 158.309i | 0.0286562 | − | 0.0595052i | ||||
\(193\) | −2483.62 | + | 1196.05i | −0.926294 | + | 0.446080i | −0.835314 | − | 0.549773i | \(-0.814714\pi\) |
−0.0909801 | + | 0.995853i | \(0.529000\pi\) | |||||||
\(194\) | −2312.77 | − | 527.874i | −0.855913 | − | 0.195357i | ||||
\(195\) | 3965.26 | − | 905.045i | 1.45620 | − | 0.332367i | ||||
\(196\) | −2941.66 | −1.07203 | ||||||||
\(197\) | −1560.09 | + | 2282.87i | −0.564224 | + | 0.825622i | ||||
\(198\) | −4197.80 | −1.50669 | ||||||||
\(199\) | 1143.03 | − | 260.890i | 0.407173 | − | 0.0929346i | −0.0140285 | − | 0.999902i | \(-0.504466\pi\) |
0.421202 | + | 0.906967i | \(0.361608\pi\) | |||||||
\(200\) | −324.788 | − | 74.1308i | −0.114830 | − | 0.0262092i | ||||
\(201\) | 977.690 | − | 470.831i | 0.343089 | − | 0.165223i | ||||
\(202\) | −2413.32 | + | 5011.31i | −0.840598 | + | 1.74552i | ||||
\(203\) | −1301.79 | −0.450088 | ||||||||
\(204\) | 585.205 | − | 2563.95i | 0.200846 | − | 0.879963i | ||||
\(205\) | −1175.38 | + | 937.334i | −0.400449 | + | 0.319348i | ||||
\(206\) | −272.865 | − | 131.405i | −0.0922885 | − | 0.0444438i | ||||
\(207\) | −972.120 | + | 4259.13i | −0.326411 | + | 1.43010i | ||||
\(208\) | −3629.55 | + | 828.420i | −1.20992 | + | 0.276157i | ||||
\(209\) | 3479.93 | − | 794.271i | 1.15173 | − | 0.262875i | ||||
\(210\) | −7565.41 | − | 6033.21i | −2.48601 | − | 1.98253i | ||||
\(211\) | − | 512.335i | − | 0.167159i | −0.996501 | − | 0.0835796i | \(-0.973365\pi\) | ||
0.996501 | − | 0.0835796i | \(-0.0266353\pi\) | |||||||
\(212\) | 1032.80 | − | 1295.08i | 0.334588 | − | 0.419560i | ||||
\(213\) | 3808.56 | − | 4775.78i | 1.22516 | − | 1.53630i | ||||
\(214\) | 2252.18 | − | 4676.70i | 0.719419 | − | 1.49389i | ||||
\(215\) | 4123.12 | + | 941.076i | 1.30788 | + | 0.298515i | ||||
\(216\) | 375.391 | 0.118251 | ||||||||
\(217\) | − | 6342.54i | − | 1.98415i | ||||||
\(218\) | 2349.18 | − | 4878.13i | 0.729847 | − | 1.51554i | ||||
\(219\) | −3015.59 | + | 1452.23i | −0.930477 | + | 0.448094i | ||||
\(220\) | 663.684 | + | 2907.79i | 0.203389 | + | 0.891105i | ||||
\(221\) | −3413.72 | + | 1643.96i | −1.03906 | + | 0.500384i | ||||
\(222\) | 2036.38 | + | 2553.54i | 0.615644 | + | 0.771993i | ||||
\(223\) | 3405.49 | + | 1640.00i | 1.02264 | + | 0.492477i | 0.868561 | − | 0.495582i | \(-0.165045\pi\) |
0.154077 | + | 0.988059i | \(0.450760\pi\) | |||||||
\(224\) | 4565.74 | + | 3641.05i | 1.36188 | + | 1.08606i | ||||
\(225\) | −138.965 | − | 608.844i | −0.0411747 | − | 0.180398i | ||||
\(226\) | 1737.47 | + | 7612.36i | 0.511394 | + | 2.24056i | ||||
\(227\) | −655.683 | + | 1361.54i | −0.191715 | + | 0.398099i | −0.974563 | − | 0.224113i | \(-0.928052\pi\) |
0.782849 | + | 0.622212i | \(0.213766\pi\) | |||||||
\(228\) | −2156.19 | + | 492.137i | −0.626304 | + | 0.142950i | ||||
\(229\) | 1250.21 | − | 2596.09i | 0.360770 | − | 0.749146i | −0.639029 | − | 0.769182i | \(-0.720664\pi\) |
0.999799 | + | 0.0200360i | \(0.00637808\pi\) | |||||||
\(230\) | 8491.62 | 2.43444 | ||||||||
\(231\) | 2570.32 | − | 11261.3i | 0.732097 | − | 3.20753i | ||||
\(232\) | 391.231 | + | 311.996i | 0.110714 | + | 0.0882911i | ||||
\(233\) | 117.331 | 0.0329896 | 0.0164948 | − | 0.999864i | \(-0.494749\pi\) | ||||
0.0164948 | + | 0.999864i | \(0.494749\pi\) | |||||||
\(234\) | −2336.41 | − | 2929.77i | −0.652718 | − | 0.818483i | ||||
\(235\) | −4128.10 | + | 942.213i | −1.14591 | + | 0.261545i | ||||
\(236\) | 1478.26 | + | 1853.69i | 0.407741 | + | 0.511291i | ||||
\(237\) | 1035.22 | + | 4535.59i | 0.283733 | + | 1.24312i | ||||
\(238\) | 8121.72 | + | 3911.22i | 2.21199 | + | 1.06524i | ||||
\(239\) | 1542.46 | − | 6757.96i | 0.417462 | − | 1.82902i | −0.129135 | − | 0.991627i | \(-0.541220\pi\) |
0.546597 | − | 0.837395i | \(-0.315923\pi\) | |||||||
\(240\) | 1541.47 | + | 6753.60i | 0.414588 | + | 1.81643i | ||||
\(241\) | 1228.16 | − | 979.424i | 0.328268 | − | 0.261785i | −0.445461 | − | 0.895301i | \(-0.646960\pi\) |
0.773730 | + | 0.633516i | \(0.218389\pi\) | |||||||
\(242\) | −3919.90 | + | 3126.02i | −1.04124 | + | 0.830364i | ||||
\(243\) | 2167.10 | + | 4500.03i | 0.572097 | + | 1.18797i | ||||
\(244\) | −89.5752 | − | 112.324i | −0.0235019 | − | 0.0294704i | ||||
\(245\) | 6165.51 | − | 4916.83i | 1.60776 | − | 1.28214i | ||||
\(246\) | 2740.70 | + | 1319.85i | 0.710328 | + | 0.342076i | ||||
\(247\) | 2491.20 | + | 1986.67i | 0.641747 | + | 0.511776i | ||||
\(248\) | −1520.10 | + | 1906.14i | −0.389219 | + | 0.488065i | ||||
\(249\) | −4846.17 | − | 1106.11i | −1.23339 | − | 0.281513i | ||||
\(250\) | 3847.54 | − | 1852.88i | 0.973359 | − | 0.468745i | ||||
\(251\) | 4053.01 | + | 1951.83i | 1.01922 | + | 0.490830i | 0.867417 | − | 0.497581i | \(-0.165778\pi\) |
0.151801 | + | 0.988411i | \(0.451493\pi\) | |||||||
\(252\) | −725.167 | + | 3177.17i | −0.181275 | + | 0.794217i | ||||
\(253\) | 4398.05 | + | 9132.64i | 1.09290 | + | 2.26942i | ||||
\(254\) | 2336.24 | + | 533.231i | 0.577121 | + | 0.131724i | ||||
\(255\) | 3058.97 | + | 6352.01i | 0.751216 | + | 1.55992i | ||||
\(256\) | −1152.86 | − | 5050.99i | −0.281459 | − | 1.23315i | ||||
\(257\) | −764.863 | + | 3351.08i | −0.185645 | + | 0.813365i | 0.793232 | + | 0.608919i | \(0.208397\pi\) |
−0.978878 | + | 0.204446i | \(0.934461\pi\) | |||||||
\(258\) | −1904.19 | − | 8342.82i | −0.459496 | − | 2.01318i | ||||
\(259\) | −3686.95 | + | 1775.54i | −0.884541 | + | 0.425972i | ||||
\(260\) | −1660.04 | + | 2081.62i | −0.395966 | + | 0.496526i | ||||
\(261\) | −208.735 | + | 914.529i | −0.0495034 | + | 0.216889i | ||||
\(262\) | −2289.49 | + | 1102.56i | −0.539866 | + | 0.259986i | ||||
\(263\) | 7992.57 | − | 1824.25i | 1.87393 | − | 0.427712i | 0.875473 | − | 0.483267i | \(-0.160550\pi\) |
0.998456 | + | 0.0555549i | \(0.0176928\pi\) | |||||||
\(264\) | −3471.42 | + | 2768.37i | −0.809285 | + | 0.645383i | ||||
\(265\) | 4440.68i | 1.02939i | ||||||||
\(266\) | − | 7580.82i | − | 1.74741i | ||||||
\(267\) | −5134.48 | − | 2472.63i | −1.17687 | − | 0.566752i | ||||
\(268\) | −308.216 | + | 640.016i | −0.0702510 | + | 0.145878i | ||||
\(269\) | 5986.84 | − | 1366.46i | 1.35697 | − | 0.309719i | 0.518689 | − | 0.854963i | \(-0.326420\pi\) |
0.838277 | + | 0.545244i | \(0.183563\pi\) | |||||||
\(270\) | 1069.41 | − | 852.826i | 0.241045 | − | 0.192227i | ||||
\(271\) | −4214.70 | − | 3361.11i | −0.944740 | − | 0.753405i | 0.0244548 | − | 0.999701i | \(-0.492215\pi\) |
−0.969195 | + | 0.246296i | \(0.920786\pi\) | |||||||
\(272\) | −2799.98 | − | 5814.23i | −0.624169 | − | 1.29610i | ||||
\(273\) | 9290.17 | − | 4473.91i | 2.05959 | − | 0.991844i | ||||
\(274\) | 3317.85i | 0.731527i | ||||||||
\(275\) | −1132.88 | − | 903.442i | −0.248419 | − | 0.198108i | ||||
\(276\) | −2725.07 | − | 5658.66i | −0.594311 | − | 1.23410i | ||||
\(277\) | −2185.97 | − | 4539.20i | −0.474159 | − | 0.984601i | −0.991656 | − | 0.128916i | \(-0.958850\pi\) |
0.517497 | − | 0.855685i | \(-0.326864\pi\) | |||||||
\(278\) | 245.818 | + | 308.246i | 0.0530330 | + | 0.0665012i | ||||
\(279\) | −4455.74 | − | 1016.99i | −0.956123 | − | 0.218229i | ||||
\(280\) | −4660.43 | −0.994693 | ||||||||
\(281\) | − | 7154.85i | − | 1.51894i | −0.650541 | − | 0.759471i | \(-0.725458\pi\) | ||
0.650541 | − | 0.759471i | \(-0.274542\pi\) | |||||||
\(282\) | 5341.88 | + | 6698.51i | 1.12803 | + | 1.41450i | ||||
\(283\) | −3439.65 | − | 7142.50i | −0.722494 | − | 1.50027i | −0.860286 | − | 0.509812i | \(-0.829715\pi\) |
0.137792 | − | 0.990461i | \(-0.455999\pi\) | |||||||
\(284\) | 3998.72i | 0.835494i | ||||||||
\(285\) | 3696.65 | − | 4635.46i | 0.768319 | − | 0.963441i | ||||
\(286\) | −8476.77 | − | 1934.77i | −1.75259 | − | 0.400018i | ||||
\(287\) | −2376.34 | + | 2979.84i | −0.488750 | + | 0.612873i | ||||
\(288\) | 3289.99 | − | 2623.68i | 0.673141 | − | 0.536812i | ||||
\(289\) | −1031.76 | − | 1293.78i | −0.210006 | − | 0.263339i | ||||
\(290\) | 1823.34 | 0.369207 | ||||||||
\(291\) | −3677.48 | − | 2932.70i | −0.740818 | − | 0.590782i | ||||
\(292\) | 950.660 | − | 1974.07i | 0.190525 | − | 0.395628i | ||||
\(293\) | −4842.20 | + | 6071.93i | −0.965476 | + | 1.21067i | 0.0120658 | + | 0.999927i | \(0.496159\pi\) |
−0.977542 | + | 0.210741i | \(0.932412\pi\) | |||||||
\(294\) | −14376.5 | − | 6923.35i | −2.85188 | − | 1.37339i | ||||
\(295\) | −6196.69 | − | 1414.35i | −1.22300 | − | 0.279142i | ||||
\(296\) | 1533.59 | + | 350.032i | 0.301142 | + | 0.0687337i | ||||
\(297\) | 1471.08 | + | 708.437i | 0.287411 | + | 0.138410i | ||||
\(298\) | −3268.51 | + | 4098.58i | −0.635367 | + | 0.796726i | ||||
\(299\) | −3926.08 | + | 8152.58i | −0.759367 | + | 1.57684i | ||||
\(300\) | 701.943 | + | 559.781i | 0.135089 | + | 0.107730i | ||||
\(301\) | 10721.8 | 2.05314 | ||||||||
\(302\) | −2311.36 | − | 2898.36i | −0.440411 | − | 0.552257i | ||||
\(303\) | −8622.50 | + | 6876.21i | −1.63482 | + | 1.30372i | ||||
\(304\) | −3383.68 | + | 4243.00i | −0.638380 | + | 0.800503i | ||||
\(305\) | 375.487 | + | 85.7025i | 0.0704929 | + | 0.0160895i | ||||
\(306\) | 4049.97 | − | 5078.50i | 0.756606 | − | 0.948754i | ||||
\(307\) | − | 3396.17i | − | 0.631367i | −0.948865 | − | 0.315683i | \(-0.897766\pi\) | ||
0.948865 | − | 0.315683i | \(-0.102234\pi\) | |||||||
\(308\) | 3280.79 | + | 6812.63i | 0.606950 | + | 1.26034i | ||||
\(309\) | −374.409 | − | 469.494i | −0.0689300 | − | 0.0864355i | ||||
\(310\) | 8883.60i | 1.62760i | ||||||||
\(311\) | −1306.26 | −0.238171 | −0.119085 | − | 0.992884i | \(-0.537996\pi\) | ||||
−0.119085 | + | 0.992884i | \(0.537996\pi\) | |||||||
\(312\) | −3864.25 | − | 881.990i | −0.701186 | − | 0.160041i | ||||
\(313\) | −931.958 | − | 1168.64i | −0.168298 | − | 0.211040i | 0.690529 | − | 0.723305i | \(-0.257378\pi\) |
−0.858827 | + | 0.512265i | \(0.828806\pi\) | |||||||
\(314\) | 3646.68 | + | 7572.42i | 0.655396 | + | 1.36094i | ||||
\(315\) | −3790.57 | − | 7871.21i | −0.678015 | − | 1.40791i | ||||
\(316\) | −2381.03 | − | 1898.81i | −0.423871 | − | 0.338026i | ||||
\(317\) | − | 3761.31i | − | 0.666424i | −0.942852 | − | 0.333212i | \(-0.891868\pi\) | ||
0.942852 | − | 0.333212i | \(-0.108132\pi\) | |||||||
\(318\) | 8095.53 | − | 3898.60i | 1.42759 | − | 0.687493i | ||||
\(319\) | 944.357 | + | 1960.98i | 0.165749 | + | 0.344181i | ||||
\(320\) | −241.082 | − | 192.256i | −0.0421152 | − | 0.0335858i | ||||
\(321\) | 8046.75 | − | 6417.07i | 1.39915 | − | 1.11578i | ||||
\(322\) | 20988.3 | − | 4790.45i | 3.63240 | − | 0.829072i | ||||
\(323\) | −2396.47 | + | 4976.32i | −0.412827 | + | 0.857244i | ||||
\(324\) | −3442.27 | − | 1657.71i | −0.590238 | − | 0.284244i | ||||
\(325\) | − | 1293.51i | − | 0.220772i | ||||||
\(326\) | − | 9515.13i | − | 1.61655i | ||||||
\(327\) | 8393.33 | − | 6693.46i | 1.41943 | − | 1.13195i | ||||
\(328\) | 1428.34 | − | 326.009i | 0.240448 | − | 0.0548806i | ||||
\(329\) | −9671.70 | + | 4657.65i | −1.62072 | + | 0.780499i | ||||
\(330\) | −3600.08 | + | 15773.0i | −0.600539 | + | 2.63113i | ||||
\(331\) | −3640.31 | + | 4564.80i | −0.604499 | + | 0.758018i | −0.986072 | − | 0.166321i | \(-0.946811\pi\) |
0.381572 | + | 0.924339i | \(0.375383\pi\) | |||||||
\(332\) | 2931.74 | − | 1411.85i | 0.484639 | − | 0.233390i | ||||
\(333\) | 656.165 | + | 2874.84i | 0.107981 | + | 0.473095i | ||||
\(334\) | 2894.05 | − | 12679.7i | 0.474119 | − | 2.07725i | ||||
\(335\) | −423.756 | − | 1856.60i | −0.0691113 | − | 0.302796i | ||||
\(336\) | 7619.93 | + | 15823.0i | 1.23721 | + | 2.56909i | ||||
\(337\) | 278.429 | + | 63.5496i | 0.0450059 | + | 0.0102723i | 0.244965 | − | 0.969532i | \(-0.421224\pi\) |
−0.199959 | + | 0.979804i | \(0.564081\pi\) | |||||||
\(338\) | 17.2126 | + | 35.7423i | 0.00276994 | + | 0.00575184i | ||||
\(339\) | −3445.05 | + | 15093.8i | −0.551946 | + | 2.41823i | ||||
\(340\) | −4158.16 | − | 2002.46i | −0.663258 | − | 0.319408i | ||||
\(341\) | −9554.22 | + | 4601.07i | −1.51727 | + | 0.730680i | ||||
\(342\) | −5325.65 | − | 1215.55i | −0.842042 | − | 0.192191i | ||||
\(343\) | 5766.22 | − | 7230.61i | 0.907716 | − | 1.13824i | ||||
\(344\) | −3222.26 | − | 2569.67i | −0.505037 | − | 0.402753i | ||||
\(345\) | 15169.7 | + | 7305.36i | 2.36728 | + | 1.14002i | ||||
\(346\) | −1688.29 | + | 1346.37i | −0.262321 | + | 0.209194i | ||||
\(347\) | 2981.63 | + | 3738.85i | 0.461275 | + | 0.578421i | 0.957011 | − | 0.290053i | \(-0.0936729\pi\) |
−0.495735 | + | 0.868474i | \(0.665101\pi\) | |||||||
\(348\) | −585.132 | − | 1215.04i | −0.0901332 | − | 0.187164i | ||||
\(349\) | 4013.56 | − | 3200.71i | 0.615590 | − | 0.490916i | −0.265345 | − | 0.964153i | \(-0.585486\pi\) |
0.880935 | + | 0.473237i | \(0.156915\pi\) | |||||||
\(350\) | −2406.04 | + | 1918.75i | −0.367452 | + | 0.293033i | ||||
\(351\) | 324.337 | + | 1421.01i | 0.0493215 | + | 0.216092i | ||||
\(352\) | 2172.65 | − | 9519.02i | 0.328985 | − | 1.44138i | ||||
\(353\) | −5346.76 | − | 2574.86i | −0.806173 | − | 0.388233i | −0.0150479 | − | 0.999887i | \(-0.504790\pi\) |
−0.791125 | + | 0.611654i | \(0.790504\pi\) | |||||||
\(354\) | 2861.84 | + | 12538.5i | 0.429675 | + | 1.88253i | ||||
\(355\) | −6683.66 | − | 8381.05i | −0.999245 | − | 1.25301i | ||||
\(356\) | 3637.05 | − | 830.132i | 0.541469 | − | 0.123587i | ||||
\(357\) | 11144.1 | + | 13974.3i | 1.65213 | + | 2.07170i | ||||
\(358\) | 11604.0 | 1.71310 | ||||||||
\(359\) | 4346.10 | + | 3465.90i | 0.638937 | + | 0.509535i | 0.888532 | − | 0.458815i | \(-0.151726\pi\) |
−0.249595 | + | 0.968350i | \(0.580297\pi\) | |||||||
\(360\) | −747.276 | + | 3274.03i | −0.109403 | + | 0.479324i | ||||
\(361\) | −2214.10 | −0.322802 | ||||||||
\(362\) | −3022.60 | + | 6276.49i | −0.438851 | + | 0.911284i | ||||
\(363\) | −9691.98 | + | 2212.13i | −1.40137 | + | 0.319853i | ||||
\(364\) | −2928.72 | + | 6081.54i | −0.421721 | + | 0.875712i | ||||
\(365\) | 1307.03 | + | 5726.49i | 0.187434 | + | 0.821201i | ||||
\(366\) | −173.412 | − | 759.769i | −0.0247661 | − | 0.108508i | ||||
\(367\) | −1816.31 | − | 1448.46i | −0.258339 | − | 0.206019i | 0.485752 | − | 0.874097i | \(-0.338546\pi\) |
−0.744091 | + | 0.668078i | \(0.767117\pi\) | |||||||
\(368\) | −13885.4 | − | 6686.86i | −1.96692 | − | 0.947220i | ||||
\(369\) | 1712.35 | + | 2147.22i | 0.241576 | + | 0.302927i | ||||
\(370\) | 5164.08 | − | 2486.89i | 0.725589 | − | 0.349425i | ||||
\(371\) | 2505.16 | + | 10975.8i | 0.350569 | + | 1.53594i | ||||
\(372\) | 5919.88 | − | 2850.86i | 0.825084 | − | 0.397340i | ||||
\(373\) | 4352.45 | − | 9037.96i | 0.604186 | − | 1.25461i | −0.344619 | − | 0.938743i | \(-0.611992\pi\) |
0.948805 | − | 0.315863i | \(-0.102294\pi\) | |||||||
\(374\) | − | 15071.6i | − | 2.08379i | ||||||
\(375\) | 8467.43 | 1.16602 | ||||||||
\(376\) | 4022.95 | + | 918.211i | 0.551776 | + | 0.125939i | ||||
\(377\) | −843.014 | + | 1750.54i | −0.115166 | + | 0.239144i | ||||
\(378\) | 2162.10 | − | 2711.19i | 0.294197 | − | 0.368911i | ||||
\(379\) | −507.375 | + | 636.229i | −0.0687655 | + | 0.0862292i | −0.815025 | − | 0.579426i | \(-0.803277\pi\) |
0.746259 | + | 0.665656i | \(0.231848\pi\) | |||||||
\(380\) | 3881.23i | 0.523955i | ||||||||
\(381\) | 3714.80 | + | 2962.46i | 0.499515 | + | 0.398350i | ||||
\(382\) | −9565.34 | + | 2183.23i | −1.28117 | + | 0.292418i | ||||
\(383\) | 1376.61 | − | 314.203i | 0.183660 | − | 0.0419191i | −0.129702 | − | 0.991553i | \(-0.541402\pi\) |
0.313361 | + | 0.949634i | \(0.398545\pi\) | |||||||
\(384\) | 2197.79 | − | 9629.15i | 0.292072 | − | 1.27965i | ||||
\(385\) | −18263.3 | − | 8795.14i | −2.41762 | − | 1.16426i | ||||
\(386\) | 7652.95 | − | 6103.02i | 1.00913 | − | 0.804756i | ||||
\(387\) | 1719.19 | − | 7532.26i | 0.225817 | − | 0.989370i | ||||
\(388\) | 3079.13 | 0.402884 | ||||||||
\(389\) | 1169.03 | − | 2427.52i | 0.152371 | − | 0.316401i | −0.810786 | − | 0.585343i | \(-0.800960\pi\) |
0.963156 | + | 0.268942i | \(0.0866741\pi\) | |||||||
\(390\) | −13012.2 | + | 6266.33i | −1.68948 | + | 0.813610i | ||||
\(391\) | −15291.9 | − | 3490.27i | −1.97786 | − | 0.451433i | ||||
\(392\) | −7492.42 | + | 1710.10i | −0.965369 | + | 0.220339i | ||||
\(393\) | −5038.56 | −0.646722 | ||||||||
\(394\) | 3597.06 | − | 9135.74i | 0.459942 | − | 1.16815i | ||||
\(395\) | 8164.24 | 1.03997 | ||||||||
\(396\) | 5312.05 | − | 1212.44i | 0.674092 | − | 0.153857i | ||||
\(397\) | 1419.14 | + | 323.910i | 0.179407 | + | 0.0409485i | 0.311281 | − | 0.950318i | \(-0.399242\pi\) |
−0.131873 | + | 0.991267i | \(0.542099\pi\) | |||||||
\(398\) | −3750.91 | + | 1806.34i | −0.472402 | + | 0.227497i | ||||
\(399\) | 6521.80 | − | 13542.7i | 0.818292 | − | 1.69920i | ||||
\(400\) | 2203.10 | 0.275387 | ||||||||
\(401\) | 1196.94 | − | 5244.14i | 0.149058 | − | 0.653067i | −0.844090 | − | 0.536202i | \(-0.819858\pi\) |
0.993148 | − | 0.116865i | \(-0.0372844\pi\) | |||||||
\(402\) | −3012.63 | + | 2402.49i | −0.373771 | + | 0.298073i | ||||
\(403\) | −8528.92 | − | 4107.31i | −1.05423 | − | 0.507691i | ||||
\(404\) | 1606.50 | − | 7038.53i | 0.197837 | − | 0.866782i | ||||
\(405\) | 9985.55 | − | 2279.14i | 1.22515 | − | 0.279633i | ||||
\(406\) | 4506.65 | − | 1028.61i | 0.550890 | − | 0.125737i | ||||
\(407\) | 5349.25 | + | 4265.88i | 0.651480 | + | 0.519538i | ||||
\(408\) | − | 6870.61i | − | 0.833691i | ||||||
\(409\) | −3372.66 | + | 4229.18i | −0.407744 | + | 0.511295i | −0.942726 | − | 0.333569i | \(-0.891747\pi\) |
0.534982 | + | 0.844864i | \(0.320318\pi\) | |||||||
\(410\) | 3328.40 | − | 4173.68i | 0.400921 | − | 0.502740i | ||||
\(411\) | −2854.35 | + | 5927.13i | −0.342567 | + | 0.711347i | ||||
\(412\) | 383.247 | + | 87.4736i | 0.0458282 | + | 0.0104600i | ||||
\(413\) | −16114.0 | −1.91989 | ||||||||
\(414\) | − | 15512.8i | − | 1.84157i | ||||||
\(415\) | −3784.89 | + | 7859.40i | −0.447694 | + | 0.929646i | ||||
\(416\) | 7852.86 | − | 3781.74i | 0.925525 | − | 0.445709i | ||||
\(417\) | 173.953 | + | 762.139i | 0.0204281 | + | 0.0895015i | ||||
\(418\) | −11419.5 | + | 5499.35i | −1.33624 | + | 0.643498i | ||||
\(419\) | −190.222 | − | 238.531i | −0.0221789 | − | 0.0278114i | 0.770618 | − | 0.637297i | \(-0.219947\pi\) |
−0.792797 | + | 0.609485i | \(0.791376\pi\) | |||||||
\(420\) | 11316.1 | + | 5449.55i | 1.31469 | + | 0.633121i | ||||
\(421\) | 12798.6 | + | 10206.5i | 1.48163 | + | 1.18156i | 0.940111 | + | 0.340868i | \(0.110721\pi\) |
0.541516 | + | 0.840690i | \(0.317850\pi\) | |||||||
\(422\) | 404.823 | + | 1773.65i | 0.0466979 | + | 0.204597i | ||||
\(423\) | 1721.27 | + | 7541.36i | 0.197851 | + | 0.866840i | ||||
\(424\) | 1877.66 | − | 3898.99i | 0.215064 | − | 0.446585i | ||||
\(425\) | 2185.97 | − | 498.934i | 0.249495 | − | 0.0569455i | ||||
\(426\) | −9411.20 | + | 19542.6i | −1.07036 | + | 2.22263i | ||||
\(427\) | 976.422 | 0.110661 | ||||||||
\(428\) | −1499.23 | + | 6568.55i | −0.169318 | + | 0.741829i | ||||
\(429\) | −13478.7 | − | 10748.9i | −1.51692 | − | 1.20970i | ||||
\(430\) | −15017.4 | −1.68419 | ||||||||
\(431\) | −2806.48 | − | 3519.22i | −0.313651 | − | 0.393306i | 0.599870 | − | 0.800097i | \(-0.295219\pi\) |
−0.913521 | + | 0.406792i | \(0.866647\pi\) | |||||||
\(432\) | −2420.26 | + | 552.409i | −0.269548 | + | 0.0615227i | ||||
\(433\) | 5126.49 | + | 6428.42i | 0.568969 | + | 0.713464i | 0.980187 | − | 0.198073i | \(-0.0634682\pi\) |
−0.411219 | + | 0.911537i | \(0.634897\pi\) | |||||||
\(434\) | 5011.58 | + | 21957.2i | 0.554294 | + | 2.42852i | ||||
\(435\) | 3257.28 | + | 1568.62i | 0.359022 | + | 0.172896i | ||||
\(436\) | −1563.80 | + | 6851.47i | −0.171772 | + | 0.752582i | ||||
\(437\) | 2935.19 | + | 12859.9i | 0.321303 | + | 1.40772i | ||||
\(438\) | 9292.14 | − | 7410.24i | 1.01369 | − | 0.808390i | ||||
\(439\) | 2872.87 | − | 2291.04i | 0.312334 | − | 0.249078i | −0.454758 | − | 0.890615i | \(-0.650274\pi\) |
0.767092 | + | 0.641537i | \(0.221703\pi\) | |||||||
\(440\) | 3380.82 | + | 7020.34i | 0.366305 | + | 0.760640i | ||||
\(441\) | −8982.24 | − | 11263.4i | −0.969899 | − | 1.21622i | ||||
\(442\) | 10518.9 | − | 8388.58i | 1.13198 | − | 0.902724i | ||||
\(443\) | −15384.9 | − | 7408.96i | −1.65002 | − | 0.794606i | −0.999380 | − | 0.0352167i | \(-0.988788\pi\) |
−0.650637 | − | 0.759389i | \(-0.725498\pi\) | |||||||
\(444\) | −3314.44 | − | 2643.18i | −0.354271 | − | 0.282522i | ||||
\(445\) | −6235.48 | + | 7819.05i | −0.664247 | + | 0.832940i | ||||
\(446\) | −13085.3 | − | 2986.63i | −1.38925 | − | 0.317087i | ||||
\(447\) | −9365.00 | + | 4509.95i | −0.990938 | + | 0.477211i | ||||
\(448\) | −704.329 | − | 339.187i | −0.0742777 | − | 0.0357703i | ||||
\(449\) | 2834.74 | − | 12419.8i | 0.297950 | − | 1.30541i | −0.575223 | − | 0.817996i | \(-0.695085\pi\) |
0.873174 | − | 0.487409i | \(-0.162058\pi\) | |||||||
\(450\) | 962.160 | + | 1997.95i | 0.100793 | + | 0.209298i | ||||
\(451\) | 6212.62 | + | 1417.99i | 0.648649 | + | 0.148050i | ||||
\(452\) | −4397.32 | − | 9131.13i | −0.457594 | − | 0.950204i | ||||
\(453\) | −1635.64 | − | 7166.21i | −0.169645 | − | 0.743262i | ||||
\(454\) | 1194.08 | − | 5231.59i | 0.123438 | − | 0.540817i | ||||
\(455\) | −4026.60 | − | 17641.7i | −0.414879 | − | 1.81771i | ||||
\(456\) | −5205.74 | + | 2506.95i | −0.534608 | + | 0.257454i | ||||
\(457\) | 7328.86 | − | 9190.10i | 0.750174 | − | 0.940689i | −0.249442 | − | 0.968390i | \(-0.580247\pi\) |
0.999616 | + | 0.0277012i | \(0.00881868\pi\) | |||||||
\(458\) | −2276.78 | + | 9975.24i | −0.232286 | + | 1.01771i | ||||
\(459\) | −2276.35 | + | 1096.23i | −0.231483 | + | 0.111476i | ||||
\(460\) | −10745.6 | + | 2452.61i | −1.08917 | + | 0.248595i | ||||
\(461\) | −8170.18 | + | 6515.50i | −0.825430 | + | 0.658258i | −0.942256 | − | 0.334894i | \(-0.891299\pi\) |
0.116826 | + | 0.993152i | \(0.462728\pi\) | |||||||
\(462\) | 41016.3i | 4.13041i | ||||||||
\(463\) | 8050.64i | 0.808089i | 0.914739 | + | 0.404044i | \(0.132396\pi\) | ||||
−0.914739 | + | 0.404044i | \(0.867604\pi\) | |||||||
\(464\) | −2981.50 | − | 1435.82i | −0.298303 | − | 0.143655i | ||||
\(465\) | −7642.59 | + | 15870.0i | −0.762186 | + | 1.58270i | ||||
\(466\) | −406.185 | + | 92.7092i | −0.0403781 | + | 0.00921603i | ||||
\(467\) | 12999.1 | − | 10366.5i | 1.28807 | − | 1.02720i | 0.290545 | − | 0.956861i | \(-0.406163\pi\) |
0.997523 | − | 0.0703390i | \(-0.0224081\pi\) | |||||||
\(468\) | 3802.78 | + | 3032.62i | 0.375606 | + | 0.299536i | ||||
\(469\) | −2094.76 | − | 4349.81i | −0.206241 | − | 0.428263i | ||||
\(470\) | 13546.5 | − | 6523.67i | 1.32948 | − | 0.640244i | ||||
\(471\) | 16664.9i | 1.63031i | ||||||||
\(472\) | 4842.77 | + | 3861.98i | 0.472260 | + | 0.376615i | ||||
\(473\) | −7777.93 | − | 16151.0i | −0.756088 | − | 1.57003i | ||||
\(474\) | −7167.63 | − | 14883.7i | −0.694557 | − | 1.44226i | ||||
\(475\) | −1175.65 | − | 1474.22i | −0.113563 | − | 0.142404i | ||||
\(476\) | −11407.2 | − | 2603.62i | −1.09842 | − | 0.250707i | ||||
\(477\) | 8112.38 | 0.778701 | ||||||||
\(478\) | 24614.1i | 2.35528i | ||||||||
\(479\) | −10694.5 | − | 13410.4i | −1.02013 | − | 1.27920i | −0.959698 | − | 0.281032i | \(-0.909323\pi\) |
−0.0604332 | − | 0.998172i | \(-0.519248\pi\) | |||||||
\(480\) | −7036.79 | − | 14612.0i | −0.669134 | − | 1.38947i | ||||
\(481\) | 6107.71i | 0.578976i | ||||||||
\(482\) | −3477.86 | + | 4361.09i | −0.328656 | + | 0.412121i | ||||
\(483\) | 41615.6 | + | 9498.48i | 3.92044 | + | 0.894816i | ||||
\(484\) | 4057.50 | − | 5087.95i | 0.381058 | − | 0.477832i | ||||
\(485\) | −6453.64 | + | 5146.61i | −0.604216 | + | 0.481846i | ||||
\(486\) | −11058.0 | − | 13866.3i | −1.03210 | − | 1.29421i | ||||
\(487\) | 6171.69 | 0.574263 | 0.287132 | − | 0.957891i | \(-0.407298\pi\) | ||||
0.287132 | + | 0.957891i | \(0.407298\pi\) | |||||||
\(488\) | −293.447 | − | 234.016i | −0.0272207 | − | 0.0217078i | ||||
\(489\) | 8185.89 | − | 16998.2i | 0.757012 | − | 1.57195i | ||||
\(490\) | −17459.3 | + | 21893.2i | −1.60965 | + | 2.01844i | ||||
\(491\) | 13663.6 | + | 6580.03i | 1.25586 | + | 0.604792i | 0.939078 | − | 0.343705i | \(-0.111682\pi\) |
0.316786 | + | 0.948497i | \(0.397396\pi\) | |||||||
\(492\) | −3849.39 | − | 878.598i | −0.352732 | − | 0.0805087i | ||||
\(493\) | −3283.50 | − | 749.436i | −0.299962 | − | 0.0684643i | ||||
\(494\) | −10194.0 | − | 4909.19i | −0.928445 | − | 0.447116i | ||||
\(495\) | −9107.16 | + | 11420.0i | −0.826942 | + | 1.03695i | ||||
\(496\) | 6995.54 | − | 14526.4i | 0.633284 | − | 1.31503i | ||||
\(497\) | −21247.8 | − | 16944.5i | −1.91769 | − | 1.52931i | ||||
\(498\) | 17650.9 | 1.58826 | ||||||||
\(499\) | −11655.1 | − | 14615.1i | −1.04560 | − | 1.31115i | −0.948812 | − | 0.315840i | \(-0.897714\pi\) |
−0.0967909 | − | 0.995305i | \(-0.530858\pi\) | |||||||
\(500\) | −4333.65 | + | 3455.97i | −0.387614 | + | 0.309112i | ||||
\(501\) | 16078.4 | − | 20161.7i | 1.43379 | − | 1.79792i | ||||
\(502\) | −15573.3 | − | 3554.51i | −1.38460 | − | 0.316027i | ||||
\(503\) | −2278.59 | + | 2857.27i | −0.201983 | + | 0.253279i | −0.872498 | − | 0.488617i | \(-0.837502\pi\) |
0.670515 | + | 0.741896i | \(0.266073\pi\) | |||||||
\(504\) | 8513.84i | 0.752453i | ||||||||
\(505\) | 8397.45 | + | 17437.5i | 0.739963 | + | 1.53655i | ||||
\(506\) | −22441.7 | − | 28141.1i | −1.97166 | − | 2.47238i | ||||
\(507\) | 78.6593i | 0.00689030i | ||||||||
\(508\) | −3110.37 | −0.271654 | ||||||||
\(509\) | 21264.0 | + | 4853.36i | 1.85169 | + | 0.422635i | 0.995560 | − | 0.0941309i | \(-0.0300072\pi\) |
0.856127 | + | 0.516766i | \(0.172864\pi\) | |||||||
\(510\) | −15608.9 | − | 19572.9i | −1.35524 | − | 1.69942i | ||||
\(511\) | 6461.07 | + | 13416.6i | 0.559336 | + | 1.16147i | ||||
\(512\) | 3112.89 | + | 6463.99i | 0.268695 | + | 0.557950i | ||||
\(513\) | 1661.19 | + | 1324.76i | 0.142970 | + | 0.114014i | ||||
\(514\) | − | 12205.4i | − | 1.04739i | ||||||
\(515\) | −949.468 | + | 457.240i | −0.0812399 | + | 0.0391231i | ||||
\(516\) | 4819.27 | + | 10007.3i | 0.411156 | + | 0.853775i | ||||
\(517\) | 14032.3 | + | 11190.4i | 1.19369 | + | 0.951938i | ||||
\(518\) | 11360.9 | − | 9059.99i | 0.963645 | − | 0.768481i | ||||
\(519\) | −4174.31 | + | 952.759i | −0.353048 | + | 0.0805809i | ||||
\(520\) | −3018.01 | + | 6266.95i | −0.254516 | + | 0.528508i | ||||
\(521\) | 8016.07 | + | 3860.34i | 0.674070 | + | 0.324615i | 0.739417 | − | 0.673248i | \(-0.235101\pi\) |
−0.0653473 | + | 0.997863i | \(0.520816\pi\) | |||||||
\(522\) | − | 3330.93i | − | 0.279293i | ||||||
\(523\) | 7145.62i | 0.597430i | 0.954342 | + | 0.298715i | \(0.0965581\pi\) | ||||
−0.954342 | + | 0.298715i | \(0.903442\pi\) | |||||||
\(524\) | 2578.75 | − | 2056.48i | 0.214987 | − | 0.171446i | ||||
\(525\) | −5948.95 | + | 1357.81i | −0.494540 | + | 0.112875i | ||||
\(526\) | −26228.0 | + | 12630.7i | −2.17413 | + | 1.04701i | ||||
\(527\) | 3651.38 | − | 15997.8i | 0.301815 | − | 1.32234i | ||||
\(528\) | 18307.5 | − | 22956.9i | 1.50896 | − | 1.89218i | ||||
\(529\) | −22787.2 | + | 10973.7i | −1.87287 | + | 0.901925i | ||||
\(530\) | −3508.82 | − | 15373.1i | −0.287572 | − | 1.25994i | ||||
\(531\) | −2583.79 | + | 11320.3i | −0.211162 | + | 0.925160i | ||||
\(532\) | 2189.55 | + | 9593.05i | 0.178438 | + | 0.781788i | ||||
\(533\) | 2468.16 | + | 5125.19i | 0.200578 | + | 0.416504i | ||||
\(534\) | 19728.8 | + | 4502.96i | 1.59878 | + | 0.364910i | ||||
\(535\) | −7836.72 | − | 16273.1i | −0.633292 | − | 1.31504i | ||||
\(536\) | −412.962 | + | 1809.30i | −0.0332784 | + | 0.145802i | ||||
\(537\) | 20729.7 | + | 9982.91i | 1.66584 | + | 0.802225i | ||||
\(538\) | −19646.1 | + | 9461.04i | −1.57435 | + | 0.758168i | ||||
\(539\) | −32588.6 | − | 7438.13i | −2.60425 | − | 0.594403i | ||||
\(540\) | −1106.95 | + | 1388.07i | −0.0882140 | + | 0.110617i | ||||
\(541\) | 7822.33 | + | 6238.10i | 0.621642 | + | 0.495743i | 0.882922 | − | 0.469520i | \(-0.155573\pi\) |
−0.261280 | + | 0.965263i | \(0.584144\pi\) | |||||||
\(542\) | 17246.6 | + | 8305.52i | 1.36680 | + | 0.658215i | ||||
\(543\) | −10799.4 | + | 8612.20i | −0.853490 | + | 0.680635i | ||||
\(544\) | 9419.98 | + | 11812.3i | 0.742423 | + | 0.930969i | ||||
\(545\) | −8174.26 | − | 16974.0i | −0.642471 | − | 1.33411i | ||||
\(546\) | −28626.5 | + | 22828.9i | −2.24377 | + | 1.78935i | ||||
\(547\) | −758.778 | + | 605.105i | −0.0593108 | + | 0.0472988i | −0.652697 | − | 0.757619i | \(-0.726362\pi\) |
0.593386 | + | 0.804918i | \(0.297791\pi\) | |||||||
\(548\) | −958.286 | − | 4198.52i | −0.0747006 | − | 0.327285i | ||||
\(549\) | 156.564 | − | 685.953i | 0.0121712 | − | 0.0533256i | ||||
\(550\) | 4635.77 | + | 2232.47i | 0.359399 | + | 0.173078i | ||||
\(551\) | 630.250 | + | 2761.30i | 0.0487287 | + | 0.213495i | ||||
\(552\) | −10230.4 | − | 12828.5i | −0.788829 | − | 0.989160i | ||||
\(553\) | 20179.2 | − | 4605.76i | 1.55173 | − | 0.354172i | ||||
\(554\) | 11154.2 | + | 13987.0i | 0.855412 | + | 1.07265i | ||||
\(555\) | 11364.8 | 0.869204 | ||||||||
\(556\) | −400.096 | − | 319.066i | −0.0305177 | − | 0.0243371i | ||||
\(557\) | 531.065 | − | 2326.75i | 0.0403984 | − | 0.176997i | −0.950704 | − | 0.310101i | \(-0.899637\pi\) |
0.991102 | + | 0.133104i | \(0.0424943\pi\) | |||||||
\(558\) | 16228.9 | 1.23122 | ||||||||
\(559\) | 6943.24 | − | 14417.8i | 0.525345 | − | 1.09089i | ||||
\(560\) | 30047.2 | − | 6858.08i | 2.26737 | − | 0.517512i | ||||
\(561\) | 12966.2 | − | 26924.5i | 0.975815 | − | 2.02630i | ||||
\(562\) | 5653.43 | + | 24769.3i | 0.424334 | + | 1.85913i | ||||
\(563\) | 164.535 | + | 720.875i | 0.0123167 | + | 0.0539631i | 0.980713 | − | 0.195454i | \(-0.0626181\pi\) |
−0.968396 | + | 0.249417i | \(0.919761\pi\) | |||||||
\(564\) | −8694.52 | − | 6933.65i | −0.649123 | − | 0.517658i | ||||
\(565\) | 24478.7 | + | 11788.3i | 1.82270 | + | 0.877768i | ||||
\(566\) | 17551.3 | + | 22008.7i | 1.30342 | + | 1.63444i | ||||
\(567\) | 23395.1 | − | 11266.5i | 1.73280 | − | 0.834475i | ||||
\(568\) | 2324.61 | + | 10184.8i | 0.171723 | + | 0.752365i | ||||
\(569\) | 3124.77 | − | 1504.81i | 0.230223 | − | 0.110870i | −0.315216 | − | 0.949020i | \(-0.602077\pi\) |
0.545440 | + | 0.838150i | \(0.316363\pi\) | |||||||
\(570\) | −9134.68 | + | 18968.4i | −0.671245 | + | 1.39385i | ||||
\(571\) | 1333.35i | 0.0977217i | 0.998806 | + | 0.0488608i | \(0.0155591\pi\) | ||||
−0.998806 | + | 0.0488608i | \(0.984441\pi\) | |||||||
\(572\) | 11285.6 | 0.824958 | ||||||||
\(573\) | −18966.1 | − | 4328.89i | −1.38276 | − | 0.315606i | ||||
\(574\) | 5872.11 | − | 12193.6i | 0.426998 | − | 0.886671i | ||||
\(575\) | 3338.63 | − | 4186.51i | 0.242140 | − | 0.303634i | ||||
\(576\) | −351.220 | + | 440.416i | −0.0254065 | + | 0.0318588i | ||||
\(577\) | − | 7635.05i | − | 0.550869i | −0.961320 | − | 0.275435i | \(-0.911178\pi\) | ||
0.961320 | − | 0.275435i | \(-0.0888217\pi\) | |||||||
\(578\) | 4594.12 | + | 3663.69i | 0.330606 | + | 0.263650i | ||||
\(579\) | 18922.0 | − | 4318.81i | 1.35815 | − | 0.309989i | ||||
\(580\) | −2307.32 | + | 526.630i | −0.165183 | + | 0.0377019i | ||||
\(581\) | −4921.14 | + | 21560.9i | −0.351400 | + | 1.53958i | ||||
\(582\) | 15048.3 | + | 7246.89i | 1.07178 | + | 0.516140i | ||||
\(583\) | 14716.3 | − | 11735.9i | 1.04543 | − | 0.833705i | ||||
\(584\) | 1273.74 | − | 5580.62i | 0.0902530 | − | 0.395424i | ||||
\(585\) | −13039.2 | −0.921549 | ||||||||
\(586\) | 11965.4 | − | 24846.4i | 0.843492 | − | 1.75153i | ||||
\(587\) | −7501.43 | + | 3612.50i | −0.527457 | + | 0.254010i | −0.678608 | − | 0.734501i | \(-0.737416\pi\) |
0.151151 | + | 0.988511i | \(0.451702\pi\) | |||||||
\(588\) | 20192.2 | + | 4608.73i | 1.41618 | + | 0.323233i | ||||
\(589\) | −13453.5 | + | 3070.68i | −0.941161 | + | 0.214814i | ||||
\(590\) | 22569.8 | 1.57489 | ||||||||
\(591\) | 14285.4 | − | 13225.9i | 0.994287 | − | 0.920541i | ||||
\(592\) | −10402.6 | −0.722203 | ||||||||
\(593\) | 13883.0 | − | 3168.71i | 0.961395 | − | 0.219432i | 0.287105 | − | 0.957899i | \(-0.407307\pi\) |
0.674290 | + | 0.738467i | \(0.264450\pi\) | |||||||
\(594\) | −5652.50 | − | 1290.15i | −0.390446 | − | 0.0891168i | ||||
\(595\) | 28260.5 | − | 13609.6i | 1.94717 | − | 0.937710i | ||||
\(596\) | 2952.30 | − | 6130.52i | 0.202905 | − | 0.421336i | ||||
\(597\) | −8254.77 | −0.565905 | ||||||||
\(598\) | 7149.85 | − | 31325.5i | 0.488928 | − | 2.14213i | ||||
\(599\) | 19157.1 | − | 15277.3i | 1.30674 | − | 1.04209i | 0.310949 | − | 0.950426i | \(-0.399353\pi\) |
0.995790 | − | 0.0916634i | \(-0.0292184\pi\) | |||||||
\(600\) | 2113.28 | + | 1017.70i | 0.143790 | + | 0.0692457i | ||||
\(601\) | −184.923 | + | 810.202i | −0.0125510 | + | 0.0549897i | −0.980816 | − | 0.194938i | \(-0.937550\pi\) |
0.968265 | + | 0.249927i | \(0.0804067\pi\) | |||||||
\(602\) | −37117.8 | + | 8471.89i | −2.51297 | + | 0.573569i | ||||
\(603\) | −3391.70 | + | 774.133i | −0.229056 | + | 0.0522805i | ||||
\(604\) | 3762.01 | + | 3000.10i | 0.253434 | + | 0.202107i | ||||
\(605\) | 17445.9i | 1.17236i | ||||||||
\(606\) | 24416.9 | − | 30617.8i | 1.63674 | − | 2.05241i | ||||
\(607\) | −6707.04 | + | 8410.37i | −0.448485 | + | 0.562383i | −0.953757 | − | 0.300577i | \(-0.902821\pi\) |
0.505272 | + | 0.862960i | \(0.331392\pi\) | |||||||
\(608\) | 5512.79 | − | 11447.4i | 0.367719 | − | 0.763577i | ||||
\(609\) | 8935.77 | + | 2039.53i | 0.594574 | + | 0.135708i | ||||
\(610\) | −1367.61 | −0.0907754 | ||||||||
\(611\) | 16021.9i | 1.06084i | ||||||||
\(612\) | −3658.17 | + | 7596.26i | −0.241622 | + | 0.501733i | ||||
\(613\) | −14638.1 | + | 7049.33i | −0.964480 | + | 0.464469i | −0.848740 | − | 0.528810i | \(-0.822638\pi\) |
−0.115740 | + | 0.993280i | \(0.536924\pi\) | |||||||
\(614\) | 2683.50 | + | 11757.2i | 0.176380 | + | 0.772769i | ||||
\(615\) | 9536.60 | − | 4592.58i | 0.625289 | − | 0.301123i | ||||
\(616\) | 12316.6 | + | 15444.6i | 0.805604 | + | 1.01020i | ||||
\(617\) | 4031.12 | + | 1941.28i | 0.263025 | + | 0.126666i | 0.560749 | − | 0.827986i | \(-0.310513\pi\) |
−0.297724 | + | 0.954652i | \(0.596227\pi\) | |||||||
\(618\) | 1667.13 | + | 1329.49i | 0.108514 | + | 0.0865374i | ||||
\(619\) | −3559.24 | − | 15594.0i | −0.231111 | − | 1.01256i | −0.948720 | − | 0.316118i | \(-0.897621\pi\) |
0.717609 | − | 0.696446i | \(-0.245237\pi\) | |||||||
\(620\) | −2565.83 | − | 11241.6i | −0.166204 | − | 0.728185i | ||||
\(621\) | −2617.99 | + | 5436.32i | −0.169173 | + | 0.351292i | ||||
\(622\) | 4522.13 | − | 1032.15i | 0.291512 | − | 0.0665358i | ||||
\(623\) | −11000.9 | + | 22843.6i | −0.707452 | + | 1.46904i | ||||
\(624\) | 26211.9 | 1.68160 | ||||||||
\(625\) | 4076.12 | − | 17858.6i | 0.260872 | − | 1.14295i | ||||
\(626\) | 4149.74 | + | 3309.31i | 0.264947 | + | 0.211288i | ||||
\(627\) | −25131.4 | −1.60072 | ||||||||
\(628\) | −6801.77 | − | 8529.14i | −0.432197 | − | 0.541958i | ||||
\(629\) | −10321.7 | + | 2355.87i | −0.654300 | + | 0.149340i | ||||
\(630\) | 19342.0 | + | 24254.1i | 1.22318 | + | 1.53382i | ||||
\(631\) | 2618.02 | + | 11470.3i | 0.165169 | + | 0.723652i | 0.987883 | + | 0.155197i | \(0.0496014\pi\) |
−0.822715 | + | 0.568455i | \(0.807541\pi\) | |||||||
\(632\) | −7168.35 | − | 3452.09i | −0.451173 | − | 0.217274i | ||||
\(633\) | −802.682 | + | 3516.78i | −0.0504009 | + | 0.220821i | ||||
\(634\) | 2972.01 | + | 13021.2i | 0.186173 | + | 0.815678i | ||||
\(635\) | 6519.13 | − | 5198.83i | 0.407408 | − | 0.324897i | ||||
\(636\) | −9118.36 | + | 7271.65i | −0.568501 | + | 0.453364i | ||||
\(637\) | −12946.9 | − | 26884.5i | −0.805297 | − | 1.67222i | ||||
\(638\) | −4818.73 | − | 6042.50i | −0.299021 | − | 0.374961i | ||||
\(639\) | −15310.8 | + | 12209.9i | −0.947864 | + | 0.755896i | ||||
\(640\) | −15616.3 | − | 7520.43i | −0.964515 | − | 0.464486i | ||||
\(641\) | −15357.4 | − | 12247.1i | −0.946304 | − | 0.754652i | 0.0231996 | − | 0.999731i | \(-0.492615\pi\) |
−0.969503 | + | 0.245079i | \(0.921186\pi\) | |||||||
\(642\) | −22786.5 | + | 28573.3i | −1.40080 | + | 1.75654i | ||||
\(643\) | −4496.87 | − | 1026.38i | −0.275800 | − | 0.0629495i | 0.0823839 | − | 0.996601i | \(-0.473747\pi\) |
−0.358184 | + | 0.933651i | \(0.616604\pi\) | |||||||
\(644\) | −25175.8 | + | 12124.0i | −1.54047 | + | 0.741853i | ||||
\(645\) | −26827.6 | − | 12919.5i | −1.63773 | − | 0.788689i | ||||
\(646\) | 4364.25 | − | 19121.0i | 0.265804 | − | 1.16456i | ||||
\(647\) | 2798.21 | + | 5810.53i | 0.170029 | + | 0.353069i | 0.968519 | − | 0.248939i | \(-0.0800818\pi\) |
−0.798490 | + | 0.602008i | \(0.794368\pi\) | |||||||
\(648\) | −9731.18 | − | 2221.08i | −0.589934 | − | 0.134648i | ||||
\(649\) | 11689.5 | + | 24273.6i | 0.707018 | + | 1.46814i | ||||
\(650\) | 1022.07 | + | 4477.99i | 0.0616753 | + | 0.270217i | ||||
\(651\) | −9936.95 | + | 43536.6i | −0.598248 | + | 2.62110i | ||||
\(652\) | 2748.23 | + | 12040.8i | 0.165075 | + | 0.723242i | ||||
\(653\) | −15062.9 | + | 7253.90i | −0.902690 | + | 0.434712i | −0.826860 | − | 0.562408i | \(-0.809875\pi\) |
−0.0758299 | + | 0.997121i | \(0.524161\pi\) | |||||||
\(654\) | −23767.9 | + | 29804.0i | −1.42110 | + | 1.78200i | ||||
\(655\) | −1967.57 | + | 8620.51i | −0.117373 | + | 0.514246i | ||||
\(656\) | −8729.19 | + | 4203.76i | −0.519539 | + | 0.250197i | ||||
\(657\) | 10461.4 | − | 2387.73i | 0.621212 | − | 0.141788i | ||||
\(658\) | 29802.1 | − | 23766.4i | 1.76566 | − | 1.40807i | ||||
\(659\) | − | 529.037i | − | 0.0312722i | −0.999878 | − | 0.0156361i | \(-0.995023\pi\) | ||
0.999878 | − | 0.0156361i | \(-0.00497732\pi\) | |||||||
\(660\) | − | 20999.5i | − | 1.23849i | ||||||
\(661\) | 24396.0 | + | 11748.5i | 1.43555 | + | 0.691322i | 0.980020 | − | 0.198900i | \(-0.0637371\pi\) |
0.455526 | + | 0.890223i | \(0.349451\pi\) | |||||||
\(662\) | 8995.44 | − | 18679.2i | 0.528123 | − | 1.09666i | ||||
\(663\) | 26008.1 | − | 5936.19i | 1.52349 | − | 0.347726i | ||||
\(664\) | 6646.40 | − | 5300.33i | 0.388450 | − | 0.309778i | ||||
\(665\) | −20623.5 | − | 16446.7i | −1.20262 | − | 0.959058i | ||||
\(666\) | −4543.14 | − | 9433.92i | −0.264329 | − | 0.548884i | ||||
\(667\) | −7246.71 | + | 3489.83i | −0.420680 | + | 0.202589i | ||||
\(668\) | 16881.2i | 0.977775i | ||||||||
\(669\) | −20806.6 | − | 16592.7i | −1.20244 | − | 0.958911i | ||||
\(670\) | 2934.00 | + | 6092.50i | 0.169179 | + | 0.351304i | ||||
\(671\) | −708.325 | − | 1470.85i | −0.0407520 | − | 0.0846224i | ||||
\(672\) | −25635.7 | − | 32146.2i | −1.47161 | − | 1.84534i | ||||
\(673\) | 2918.74 | + | 666.184i | 0.167176 | + | 0.0381567i | 0.305289 | − | 0.952260i | \(-0.401247\pi\) |
−0.138114 | + | 0.990416i | \(0.544104\pi\) | |||||||
\(674\) | −1014.10 | −0.0579552 | ||||||||
\(675\) | − | 862.541i | − | 0.0491840i | ||||||
\(676\) | −32.1048 | − | 40.2581i | −0.00182662 | − | 0.00229052i | ||||
\(677\) | 2439.04 | + | 5064.72i | 0.138464 | + | 0.287523i | 0.958657 | − | 0.284563i | \(-0.0918486\pi\) |
−0.820194 | + | 0.572086i | \(0.806134\pi\) | |||||||
\(678\) | − | 54975.0i | − | 3.11402i | ||||||
\(679\) | −13047.8 | + | 16361.4i | −0.737448 | + | 0.924730i | ||||
\(680\) | −11755.0 | − | 2683.00i | −0.662916 | − | 0.151306i | ||||
\(681\) | 6633.89 | − | 8318.64i | 0.373291 | − | 0.468092i | ||||
\(682\) | 29440.1 | − | 23477.7i | 1.65296 | − | 1.31819i | ||||
\(683\) | −138.455 | − | 173.617i | −0.00775670 | − | 0.00972659i | 0.777938 | − | 0.628341i | \(-0.216266\pi\) |
−0.785695 | + | 0.618614i | \(0.787694\pi\) | |||||||
\(684\) | 7090.36 | 0.396355 | ||||||||
\(685\) | 9026.13 | + | 7198.10i | 0.503461 | + | 0.401497i | ||||
\(686\) | −14248.7 | + | 29587.8i | −0.793030 | + | 1.64674i | ||||
\(687\) | −12649.1 | + | 15861.4i | −0.702462 | + | 0.880860i | ||||
\(688\) | 24556.3 | + | 11825.7i | 1.36076 | + | 0.655305i | ||||
\(689\) | 16381.6 | + | 3739.00i | 0.905791 | + | 0.206741i | ||||
\(690\) | −58288.3 | − | 13303.9i | −3.21594 | − | 0.734017i | ||||
\(691\) | 1298.26 | + | 625.208i | 0.0714733 | + | 0.0344197i | 0.469279 | − | 0.883050i | \(-0.344514\pi\) |
−0.397806 | + | 0.917470i | \(0.630228\pi\) | |||||||
\(692\) | 1747.56 | − | 2191.37i | 0.0960002 | − | 0.120380i | ||||
\(693\) | −16067.3 | + | 33364.0i | −0.880729 | + | 1.82885i | ||||
\(694\) | −13276.4 | − | 10587.5i | −0.726172 | − | 0.579103i | ||||
\(695\) | 1371.88 | 0.0748753 | ||||||||
\(696\) | −2196.68 | − | 2754.56i | −0.119634 | − | 0.150016i | ||||
\(697\) | −7709.32 | + | 6147.98i | −0.418955 | + | 0.334105i | ||||
\(698\) | −11365.4 | + | 14251.8i | −0.616316 | + | 0.772835i | ||||
\(699\) | −805.383 | − | 183.823i | −0.0435799 | − | 0.00994683i | ||||
\(700\) | 2490.50 | − | 3122.99i | 0.134474 | − | 0.168626i | ||||
\(701\) | − | 21977.5i | − | 1.18414i | −0.805888 | − | 0.592068i | \(-0.798312\pi\) | ||
0.805888 | − | 0.592068i | \(-0.201688\pi\) | |||||||
\(702\) | −2245.64 | − | 4663.12i | −0.120735 | − | 0.250710i | ||||
\(703\) | 5551.21 | + | 6961.00i | 0.297821 | + | 0.373455i | ||||
\(704\) | 1307.04i | 0.0699727i | ||||||||
\(705\) | 29812.4 | 1.59262 | ||||||||
\(706\) | 20544.4 | + | 4689.13i | 1.09518 | + | 0.249968i | ||||
\(707\) | 30592.7 | + | 38362.1i | 1.62738 | + | 2.04067i | ||||
\(708\) | −7242.94 | − | 15040.1i | −0.384472 | − | 0.798365i | ||||
\(709\) | 5509.89 | + | 11441.4i | 0.291860 | + | 0.606053i | 0.994411 | − | 0.105581i | \(-0.0336701\pi\) |
−0.702551 | + | 0.711633i | \(0.747956\pi\) | |||||||
\(710\) | 29760.4 | + | 23733.1i | 1.57308 | + | 1.25449i | ||||
\(711\) | − | 14914.7i | − | 0.786702i | ||||||
\(712\) | 8781.00 | − | 4228.71i | 0.462194 | − | 0.222581i | ||||
\(713\) | −17003.0 | − | 35307.2i | −0.893084 | − | 1.85451i | ||||
\(714\) | −49621.5 | − | 39571.9i | −2.60090 | − | 2.07414i | ||||
\(715\) | −23653.9 | + | 18863.4i | −1.23721 | + | 0.986644i | ||||
\(716\) | −14684.1 | + | 3351.54i | −0.766437 | + | 0.174934i | ||||
\(717\) | −21175.6 | + | 43971.5i | −1.10295 | + | 2.29030i | ||||
\(718\) | −17784.3 | − | 8564.47i | −0.924380 | − | 0.445158i | ||||
\(719\) | 1288.25i | 0.0668200i | 0.999442 | + | 0.0334100i | \(0.0106367\pi\) | ||||
−0.999442 | + | 0.0334100i | \(0.989363\pi\) | |||||||
\(720\) | − | 22208.3i | − | 1.14952i | ||||||
\(721\) | −2088.81 | + | 1665.77i | −0.107894 | + | 0.0860423i | ||||
\(722\) | 7664.97 | − | 1749.48i | 0.395098 | − | 0.0901785i | ||||
\(723\) | −9964.83 | + | 4798.81i | −0.512581 | + | 0.246846i | ||||
\(724\) | 2012.08 | − | 8815.50i | 0.103285 | − | 0.452522i | ||||
\(725\) | 716.877 | − | 898.935i | 0.0367229 | − | 0.0460491i | ||||
\(726\) | 31804.6 | − | 15316.3i | 1.62587 | − | 0.782977i | ||||
\(727\) | −1224.70 | − | 5365.75i | −0.0624781 | − | 0.273734i | 0.934034 | − | 0.357184i | \(-0.116263\pi\) |
−0.996512 | + | 0.0834501i | \(0.973406\pi\) | |||||||
\(728\) | −3924.03 | + | 17192.3i | −0.199772 | + | 0.875260i | ||||
\(729\) | −2844.83 | − | 12464.0i | −0.144532 | − | 0.633237i | ||||
\(730\) | −9049.62 | − | 18791.7i | −0.458824 | − | 0.952757i | ||||
\(731\) | 27043.6 | + | 6172.52i | 1.36832 | + | 0.312310i | ||||
\(732\) | 438.884 | + | 911.353i | 0.0221607 | + | 0.0460172i | ||||
\(733\) | 1887.77 | − | 8270.84i | 0.0951245 | − | 0.416767i | −0.904835 | − | 0.425762i | \(-0.860006\pi\) |
0.999960 | + | 0.00899473i | \(0.00286315\pi\) | |||||||
\(734\) | 7432.36 | + | 3579.24i | 0.373751 | + | 0.179989i | ||||
\(735\) | −50024.7 | + | 24090.6i | −2.51046 | + | 1.20897i | ||||
\(736\) | 35177.1 | + | 8028.94i | 1.76175 | + | 0.402107i | ||||
\(737\) | −5032.82 | + | 6310.96i | −0.251542 | + | 0.315424i | ||||
\(738\) | −7624.62 | − | 6080.43i | −0.380306 | − | 0.303284i | ||||
\(739\) | 12624.8 | + | 6079.77i | 0.628430 | + | 0.302636i | 0.720857 | − | 0.693083i | \(-0.243748\pi\) |
−0.0924273 | + | 0.995719i | \(0.529463\pi\) | |||||||
\(740\) | −5816.53 | + | 4638.53i | −0.288946 | + | 0.230427i | ||||
\(741\) | −13987.6 | − | 17539.9i | −0.693453 | − | 0.869562i | ||||
\(742\) | −17345.1 | − | 36017.6i | −0.858168 | − | 1.78200i | ||||
\(743\) | −18094.9 | + | 14430.2i | −0.893457 | + | 0.712508i | −0.958415 | − | 0.285380i | \(-0.907880\pi\) |
0.0649573 | + | 0.997888i | \(0.479309\pi\) | |||||||
\(744\) | 13420.7 | − | 10702.6i | 0.661324 | − | 0.527389i | ||||
\(745\) | 4059.04 | + | 17783.8i | 0.199613 | + | 0.874561i | ||||
\(746\) | −7926.33 | + | 34727.5i | −0.389013 | + | 1.70438i | ||||
\(747\) | 14357.8 | + | 6914.37i | 0.703247 | + | 0.338666i | ||||
\(748\) | 4353.10 | + | 19072.2i | 0.212788 | + | 0.932284i | ||||
\(749\) | −28550.0 | − | 35800.5i | −1.39278 | − | 1.74649i | ||||
\(750\) | −29313.3 | + | 6690.57i | −1.42716 | + | 0.325740i | ||||
\(751\) | 5170.94 | + | 6484.15i | 0.251252 | + | 0.315060i | 0.891423 | − | 0.453173i | \(-0.149708\pi\) |
−0.640171 | + | 0.768233i | \(0.721136\pi\) | |||||||
\(752\) | −27288.4 | −1.32328 | ||||||||
\(753\) | −24762.8 | − | 19747.7i | −1.19842 | − | 0.955705i | ||||
\(754\) | 1535.23 | − | 6726.28i | 0.0741508 | − | 0.324876i | ||||
\(755\) | −12899.4 | −0.621799 | ||||||||
\(756\) | −1952.93 | + | 4055.31i | −0.0939517 | + | 0.195093i | ||||
\(757\) | −29195.1 | + | 6663.60i | −1.40174 | + | 0.319937i | −0.855548 | − | 0.517724i | \(-0.826779\pi\) |
−0.546190 | + | 0.837662i | \(0.683922\pi\) | |||||||
\(758\) | 1253.76 | − | 2603.46i | 0.0600773 | − | 0.124752i | ||||
\(759\) | −15880.9 | − | 69578.9i | −0.759475 | − | 3.32748i | ||||
\(760\) | 2256.30 | + | 9885.52i | 0.107691 | + | 0.471823i | ||||
\(761\) | −29019.9 | − | 23142.6i | −1.38235 | − | 1.10239i | −0.982593 | − | 0.185771i | \(-0.940522\pi\) |
−0.399761 | − | 0.916620i | \(-0.630907\pi\) | |||||||
\(762\) | −15201.0 | − | 7320.43i | −0.722671 | − | 0.348020i | ||||
\(763\) | −29779.6 | − | 37342.5i | −1.41297 | − | 1.77181i | ||||
\(764\) | 11473.8 | − | 5525.47i | 0.543332 | − | 0.261655i | ||||
\(765\) | −5029.51 | − | 22035.7i | −0.237702 | − | 1.04144i | ||||
\(766\) | −4517.41 | + | 2175.47i | −0.213082 | + | 0.102615i | ||||
\(767\) | −10435.1 | + | 21668.7i | −0.491250 |