Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [197,4,Mod(16,197)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(197, base_ring=CyclotomicField(98))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("197.16");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 197 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 197.g (of order \(49\), degree \(42\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(11.6233762711\) |
Analytic rank: | \(0\) |
Dimension: | \(2058\) |
Relative dimension: | \(49\) over \(\Q(\zeta_{49})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{49}]$ |
Embedding invariants
Embedding label | 16.9 | ||
Character | \(\chi\) | \(=\) | 197.16 |
Dual form | 197.4.g.a.37.9 |
$q$-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 \(\left(\mathbb{Z}/197\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{49}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −4.01883 | − | 0.258017i | −1.42087 | − | 0.0912229i | −0.665439 | − | 0.746452i | \(-0.731756\pi\) |
−0.755430 | + | 0.655229i | \(0.772572\pi\) | |||||||
\(3\) | 0.971817 | − | 1.39317i | 0.187026 | − | 0.268116i | −0.715629 | − | 0.698481i | \(-0.753860\pi\) |
0.902655 | + | 0.430364i | \(0.141615\pi\) | |||||||
\(4\) | 8.15008 | + | 1.05084i | 1.01876 | + | 0.131354i | ||||
\(5\) | 10.9750 | − | 7.14395i | 0.981636 | − | 0.638974i | 0.0486228 | − | 0.998817i | \(-0.484517\pi\) |
0.933013 | + | 0.359843i | \(0.117170\pi\) | |||||||
\(6\) | −4.26503 | + | 5.34818i | −0.290198 | + | 0.363897i | ||||
\(7\) | 23.5076 | − | 1.50924i | 1.26929 | − | 0.0814911i | 0.585200 | − | 0.810889i | \(-0.301016\pi\) |
0.684090 | + | 0.729398i | \(0.260200\pi\) | |||||||
\(8\) | −0.859906 | − | 0.167467i | −0.0380028 | − | 0.00740105i | ||||
\(9\) | 8.32835 | + | 22.6308i | 0.308458 | + | 0.838179i | ||||
\(10\) | −45.9500 | + | 25.8785i | −1.45307 | + | 0.818351i | ||||
\(11\) | 15.5983 | − | 52.5558i | 0.427551 | − | 1.44056i | −0.418870 | − | 0.908046i | \(-0.637574\pi\) |
0.846421 | − | 0.532514i | \(-0.178753\pi\) | |||||||
\(12\) | 9.38438 | − | 10.3332i | 0.225753 | − | 0.248579i | ||||
\(13\) | −2.56719 | + | 80.0546i | −0.0547701 | + | 1.70793i | 0.491954 | + | 0.870621i | \(0.336283\pi\) |
−0.546724 | + | 0.837313i | \(0.684125\pi\) | |||||||
\(14\) | −94.8623 | −1.81093 | ||||||||
\(15\) | 0.712960 | − | 22.2327i | 0.0122724 | − | 0.382697i | ||||
\(16\) | −60.1777 | − | 15.7804i | −0.940276 | − | 0.246569i | ||||
\(17\) | 83.3324 | + | 80.7030i | 1.18889 | + | 1.15137i | 0.985032 | + | 0.172372i | \(0.0551431\pi\) |
0.203855 | + | 0.979001i | \(0.434653\pi\) | |||||||
\(18\) | −27.6311 | − | 93.0982i | −0.361817 | − | 1.21908i | ||||
\(19\) | −79.9371 | − | 38.4957i | −0.965201 | − | 0.464816i | −0.116211 | − | 0.993225i | \(-0.537075\pi\) |
−0.848990 | + | 0.528408i | \(0.822789\pi\) | |||||||
\(20\) | 96.9544 | − | 46.6908i | 1.08398 | − | 0.522019i | ||||
\(21\) | 20.7424 | − | 34.2168i | 0.215542 | − | 0.355558i | ||||
\(22\) | −76.2471 | + | 207.188i | −0.738906 | + | 2.00785i | ||||
\(23\) | 6.94344 | + | 42.9477i | 0.0629482 | + | 0.389357i | 0.999270 | + | 0.0382127i | \(0.0121664\pi\) |
−0.936321 | + | 0.351144i | \(0.885793\pi\) | |||||||
\(24\) | −1.06898 | + | 1.03525i | −0.00909188 | + | 0.00880499i | ||||
\(25\) | 18.8172 | − | 42.5083i | 0.150537 | − | 0.340067i | ||||
\(26\) | 30.9726 | − | 321.063i | 0.233624 | − | 2.42176i | ||||
\(27\) | 83.9855 | + | 22.0236i | 0.598630 | + | 0.156979i | ||||
\(28\) | 193.175 | + | 12.4022i | 1.30381 | + | 0.0837071i | ||||
\(29\) | −164.750 | + | 181.408i | −1.05494 | + | 1.16161i | −0.0684763 | + | 0.997653i | \(0.521814\pi\) |
−0.986467 | + | 0.163958i | \(0.947574\pi\) | |||||||
\(30\) | −8.60168 | + | 89.1655i | −0.0523482 | + | 0.542644i | ||||
\(31\) | 162.935 | − | 65.9652i | 0.944002 | − | 0.382184i | 0.149032 | − | 0.988832i | \(-0.452384\pi\) |
0.794970 | + | 0.606649i | \(0.207486\pi\) | |||||||
\(32\) | 244.423 | + | 81.1542i | 1.35026 | + | 0.448318i | ||||
\(33\) | −58.0606 | − | 72.8057i | −0.306274 | − | 0.384056i | ||||
\(34\) | −314.076 | − | 345.832i | −1.58422 | − | 1.74440i | ||||
\(35\) | 247.214 | − | 184.501i | 1.19391 | − | 0.891038i | ||||
\(36\) | 44.0954 | + | 193.195i | 0.204146 | + | 0.894420i | ||||
\(37\) | 145.915 | − | 38.2634i | 0.648332 | − | 0.170013i | 0.0851796 | − | 0.996366i | \(-0.472854\pi\) |
0.563153 | + | 0.826353i | \(0.309588\pi\) | |||||||
\(38\) | 311.321 | + | 175.333i | 1.32902 | + | 0.748492i | ||||
\(39\) | 109.035 | + | 81.3749i | 0.447681 | + | 0.334113i | ||||
\(40\) | −10.6339 | + | 4.30517i | −0.0420340 | + | 0.0170177i | ||||
\(41\) | 226.846 | + | 219.688i | 0.864084 | + | 0.836819i | 0.987837 | − | 0.155494i | \(-0.0496971\pi\) |
−0.123753 | + | 0.992313i | \(0.539493\pi\) | |||||||
\(42\) | −92.1888 | + | 132.160i | −0.338692 | + | 0.485540i | ||||
\(43\) | 99.9230 | − | 336.674i | 0.354375 | − | 1.19401i | −0.572900 | − | 0.819625i | \(-0.694182\pi\) |
0.927275 | − | 0.374381i | \(-0.122145\pi\) | |||||||
\(44\) | 182.355 | − | 411.942i | 0.624795 | − | 1.41142i | ||||
\(45\) | 253.077 | + | 188.876i | 0.838367 | + | 0.625690i | ||||
\(46\) | −16.8233 | − | 174.391i | −0.0539229 | − | 0.558968i | ||||
\(47\) | −124.871 | − | 239.354i | −0.387538 | − | 0.742839i | 0.611281 | − | 0.791414i | \(-0.290654\pi\) |
−0.998820 | + | 0.0485749i | \(0.984532\pi\) | |||||||
\(48\) | −80.4666 | + | 68.5022i | −0.241966 | + | 0.205988i | ||||
\(49\) | 210.145 | − | 27.0952i | 0.612667 | − | 0.0789946i | ||||
\(50\) | −86.5908 | + | 165.978i | −0.244916 | + | 0.469458i | ||||
\(51\) | 193.417 | − | 37.6680i | 0.531055 | − | 0.103423i | ||||
\(52\) | −105.047 | + | 649.753i | −0.280142 | + | 1.73278i | ||||
\(53\) | −16.0425 | − | 166.297i | −0.0415775 | − | 0.430994i | −0.992561 | − | 0.121751i | \(-0.961149\pi\) |
0.950983 | − | 0.309243i | \(-0.100076\pi\) | |||||||
\(54\) | −331.841 | − | 110.179i | −0.836255 | − | 0.277656i | ||||
\(55\) | −204.264 | − | 688.234i | −0.500782 | − | 1.68730i | ||||
\(56\) | −20.4671 | − | 2.63894i | −0.0488398 | − | 0.00629719i | ||||
\(57\) | −131.315 | + | 73.9554i | −0.305143 | + | 0.171853i | ||||
\(58\) | 708.910 | − | 686.541i | 1.60490 | − | 1.55426i | ||||
\(59\) | 245.912 | + | 138.495i | 0.542628 | + | 0.305602i | 0.737635 | − | 0.675199i | \(-0.235942\pi\) |
−0.195007 | + | 0.980802i | \(0.562473\pi\) | |||||||
\(60\) | 29.1736 | − | 180.449i | 0.0627716 | − | 0.388265i | ||||
\(61\) | −201.005 | − | 288.155i | −0.421902 | − | 0.604828i | 0.551432 | − | 0.834220i | \(-0.314081\pi\) |
−0.973334 | + | 0.229392i | \(0.926326\pi\) | |||||||
\(62\) | −671.829 | + | 223.063i | −1.37617 | + | 0.456919i | ||||
\(63\) | 229.935 | + | 519.427i | 0.459826 | + | 1.03876i | ||||
\(64\) | −500.031 | − | 202.440i | −0.976623 | − | 0.395391i | ||||
\(65\) | 543.730 | + | 896.940i | 1.03756 | + | 1.71157i | ||||
\(66\) | 214.550 | + | 307.574i | 0.400141 | + | 0.573633i | ||||
\(67\) | 128.989 | + | 247.248i | 0.235201 | + | 0.450837i | 0.975065 | − | 0.221920i | \(-0.0712324\pi\) |
−0.739863 | + | 0.672757i | \(0.765110\pi\) | |||||||
\(68\) | 594.360 | + | 745.304i | 1.05995 | + | 1.32914i | ||||
\(69\) | 66.5813 | + | 32.0639i | 0.116166 | + | 0.0559425i | ||||
\(70\) | −1041.12 | + | 677.691i | −1.77767 | + | 1.15714i | ||||
\(71\) | −65.5474 | − | 178.113i | −0.109564 | − | 0.297721i | 0.871805 | − | 0.489853i | \(-0.162950\pi\) |
−0.981369 | + | 0.192132i | \(0.938460\pi\) | |||||||
\(72\) | −3.37169 | − | 20.8551i | −0.00551886 | − | 0.0341361i | ||||
\(73\) | −1067.75 | + | 279.997i | −1.71193 | + | 0.448920i | −0.974108 | − | 0.226081i | \(-0.927409\pi\) |
−0.737817 | + | 0.675001i | \(0.764143\pi\) | |||||||
\(74\) | −596.280 | + | 116.126i | −0.936705 | + | 0.182423i | ||||
\(75\) | −40.9346 | − | 67.5259i | −0.0630229 | − | 0.103963i | ||||
\(76\) | −611.040 | − | 397.743i | −0.922252 | − | 0.600319i | ||||
\(77\) | 287.359 | − | 1259.00i | 0.425293 | − | 1.86333i | ||||
\(78\) | −417.197 | − | 355.165i | −0.605618 | − | 0.515570i | ||||
\(79\) | −650.540 | − | 423.455i | −0.926474 | − | 0.603068i | −0.00861024 | − | 0.999963i | \(-0.502741\pi\) |
−0.917864 | + | 0.396895i | \(0.870088\pi\) | |||||||
\(80\) | −773.186 | + | 256.715i | −1.08056 | + | 0.358771i | ||||
\(81\) | −383.473 | + | 326.455i | −0.526026 | + | 0.447812i | ||||
\(82\) | −854.973 | − | 941.420i | −1.15141 | − | 1.26783i | ||||
\(83\) | −650.566 | + | 313.296i | −0.860348 | + | 0.414322i | −0.811408 | − | 0.584480i | \(-0.801299\pi\) |
−0.0489400 | + | 0.998802i | \(0.515584\pi\) | |||||||
\(84\) | 205.009 | − | 257.073i | 0.266289 | − | 0.333916i | ||||
\(85\) | 1491.11 | + | 290.394i | 1.90275 | + | 0.370561i | ||||
\(86\) | −488.441 | + | 1327.25i | −0.612441 | + | 1.66420i | ||||
\(87\) | 92.6261 | + | 405.822i | 0.114144 | + | 0.500099i | ||||
\(88\) | −22.2144 | + | 42.5809i | −0.0269098 | + | 0.0515811i | ||||
\(89\) | −114.205 | − | 46.2363i | −0.136019 | − | 0.0550679i | 0.306246 | − | 0.951952i | \(-0.400927\pi\) |
−0.442265 | + | 0.896884i | \(0.645825\pi\) | |||||||
\(90\) | −968.340 | − | 824.360i | −1.13413 | − | 0.965502i | ||||
\(91\) | 60.4728 | + | 1885.76i | 0.0696623 | + | 2.17233i | ||||
\(92\) | 11.4587 | + | 357.323i | 0.0129853 | + | 0.404929i | ||||
\(93\) | 66.4424 | − | 291.103i | 0.0740834 | − | 0.324581i | ||||
\(94\) | 440.077 | + | 994.143i | 0.482878 | + | 1.09083i | ||||
\(95\) | −1152.32 | + | 148.575i | −1.24448 | + | 0.160458i | ||||
\(96\) | 350.597 | − | 261.657i | 0.372736 | − | 0.278180i | ||||
\(97\) | 722.101 | − | 1191.18i | 0.755858 | − | 1.24687i | −0.207391 | − | 0.978258i | \(-0.566497\pi\) |
0.963249 | − | 0.268609i | \(-0.0865639\pi\) | |||||||
\(98\) | −851.526 | + | 54.6698i | −0.877726 | + | 0.0563519i | ||||
\(99\) | 1319.29 | − | 84.7012i | 1.33933 | − | 0.0859877i | ||||
\(100\) | 198.031 | − | 326.672i | 0.198031 | − | 0.326672i | ||||
\(101\) | 1320.29 | − | 985.360i | 1.30073 | − | 0.970762i | 0.300879 | − | 0.953662i | \(-0.402720\pi\) |
0.999854 | − | 0.0170998i | \(-0.00544330\pi\) | |||||||
\(102\) | −787.029 | + | 101.476i | −0.763995 | + | 0.0985062i | ||||
\(103\) | −349.203 | − | 788.856i | −0.334058 | − | 0.754643i | −0.999963 | − | 0.00860656i | \(-0.997260\pi\) |
0.665905 | − | 0.746037i | \(-0.268046\pi\) | |||||||
\(104\) | 15.6140 | − | 68.4095i | 0.0147219 | − | 0.0645010i | ||||
\(105\) | −16.7945 | − | 523.713i | −0.0156093 | − | 0.486754i | ||||
\(106\) | 21.5645 | + | 672.459i | 0.0197597 | + | 0.616180i | ||||
\(107\) | −745.472 | − | 634.630i | −0.673528 | − | 0.573383i | 0.244621 | − | 0.969619i | \(-0.421337\pi\) |
−0.918149 | + | 0.396236i | \(0.870316\pi\) | |||||||
\(108\) | 661.345 | + | 267.749i | 0.589240 | + | 0.238557i | ||||
\(109\) | 258.595 | − | 495.679i | 0.227238 | − | 0.435573i | −0.745815 | − | 0.666153i | \(-0.767940\pi\) |
0.973053 | + | 0.230580i | \(0.0740623\pi\) | |||||||
\(110\) | 643.326 | + | 2818.60i | 0.557625 | + | 2.44312i | ||||
\(111\) | 88.4952 | − | 240.470i | 0.0756720 | − | 0.205625i | ||||
\(112\) | −1438.45 | − | 280.138i | −1.21358 | − | 0.236344i | ||||
\(113\) | 721.194 | − | 904.349i | 0.600391 | − | 0.752867i | −0.385048 | − | 0.922897i | \(-0.625815\pi\) |
0.985439 | + | 0.170030i | \(0.0543864\pi\) | |||||||
\(114\) | 546.815 | − | 263.332i | 0.449245 | − | 0.216345i | ||||
\(115\) | 383.020 | + | 421.748i | 0.310581 | + | 0.341984i | ||||
\(116\) | −1533.36 | + | 1305.37i | −1.22732 | + | 1.04483i | ||||
\(117\) | −1833.08 | + | 608.625i | −1.44845 | + | 0.480918i | ||||
\(118\) | −952.545 | − | 620.038i | −0.743126 | − | 0.483721i | ||||
\(119\) | 2080.74 | + | 1771.36i | 1.60287 | + | 1.36454i | ||||
\(120\) | −4.33632 | + | 18.9987i | −0.00329875 | + | 0.0144528i | ||||
\(121\) | −1403.31 | − | 913.453i | −1.05433 | − | 0.686291i | ||||
\(122\) | 733.454 | + | 1209.91i | 0.544293 | + | 0.897869i | ||||
\(123\) | 526.517 | − | 102.539i | 0.385971 | − | 0.0751679i | ||||
\(124\) | 1397.25 | − | 366.403i | 1.01191 | − | 0.265355i | ||||
\(125\) | 164.093 | + | 1014.97i | 0.117415 | + | 0.726255i | ||||
\(126\) | −790.047 | − | 2146.81i | −0.558595 | − | 1.51788i | ||||
\(127\) | −136.708 | + | 88.9871i | −0.0955187 | + | 0.0621758i | −0.592408 | − | 0.805638i | \(-0.701823\pi\) |
0.496889 | + | 0.867814i | \(0.334476\pi\) | |||||||
\(128\) | 100.994 | + | 48.6360i | 0.0697395 | + | 0.0335848i | ||||
\(129\) | −371.938 | − | 466.395i | −0.253855 | − | 0.318324i | ||||
\(130\) | −1953.73 | − | 3744.94i | −1.31811 | − | 2.52656i | ||||
\(131\) | 1192.87 | + | 1710.07i | 0.795584 | + | 1.14053i | 0.987267 | + | 0.159072i | \(0.0508502\pi\) |
−0.191683 | + | 0.981457i | \(0.561395\pi\) | |||||||
\(132\) | −396.692 | − | 654.384i | −0.261573 | − | 0.431491i | ||||
\(133\) | −1937.23 | − | 784.296i | −1.26300 | − | 0.511331i | ||||
\(134\) | −454.590 | − | 1026.93i | −0.293064 | − | 0.662037i | ||||
\(135\) | 1079.08 | − | 358.278i | 0.687942 | − | 0.228413i | ||||
\(136\) | −58.1430 | − | 83.3524i | −0.0366597 | − | 0.0525545i | ||||
\(137\) | 264.342 | − | 1635.05i | 0.164849 | − | 1.01965i | −0.762921 | − | 0.646492i | \(-0.776235\pi\) |
0.927769 | − | 0.373155i | \(-0.121724\pi\) | |||||||
\(138\) | −259.306 | − | 146.038i | −0.159953 | − | 0.0900840i | ||||
\(139\) | 40.0015 | − | 38.7392i | 0.0244092 | − | 0.0236390i | −0.683378 | − | 0.730065i | \(-0.739490\pi\) |
0.707787 | + | 0.706426i | \(0.249694\pi\) | |||||||
\(140\) | 2208.70 | − | 1243.91i | 1.33335 | − | 0.750928i | ||||
\(141\) | −454.814 | − | 58.6417i | −0.271647 | − | 0.0350250i | ||||
\(142\) | 217.467 | + | 732.720i | 0.128517 | + | 0.433017i | ||||
\(143\) | 4167.29 | + | 1383.63i | 2.43696 | + | 0.809128i | ||||
\(144\) | −144.056 | − | 1493.30i | −0.0833660 | − | 0.864176i | ||||
\(145\) | −512.166 | + | 3167.93i | −0.293332 | + | 1.81436i | ||||
\(146\) | 4363.34 | − | 849.761i | 2.47338 | − | 0.481690i | ||||
\(147\) | 166.474 | − | 319.100i | 0.0934051 | − | 0.179040i | ||||
\(148\) | 1229.43 | − | 158.517i | 0.682827 | − | 0.0880407i | ||||
\(149\) | 1083.64 | − | 922.520i | 0.595810 | − | 0.507220i | −0.298654 | − | 0.954362i | \(-0.596538\pi\) |
0.894463 | + | 0.447141i | \(0.147558\pi\) | |||||||
\(150\) | 147.086 | + | 281.937i | 0.0800636 | + | 0.153467i | ||||
\(151\) | 226.273 | + | 2345.55i | 0.121946 | + | 1.26410i | 0.829930 | + | 0.557868i | \(0.188380\pi\) |
−0.707984 | + | 0.706228i | \(0.750395\pi\) | |||||||
\(152\) | 62.2916 | + | 46.4895i | 0.0332403 | + | 0.0248078i | ||||
\(153\) | −1132.35 | + | 2558.00i | −0.598335 | + | 1.35165i | ||||
\(154\) | −1479.69 | + | 4985.56i | −0.774265 | + | 2.60875i | ||||
\(155\) | 1316.97 | − | 1887.97i | 0.682460 | − | 0.978358i | ||||
\(156\) | 803.132 | + | 777.790i | 0.412192 | + | 0.399186i | ||||
\(157\) | 1596.99 | − | 646.551i | 0.811808 | − | 0.328665i | 0.0685315 | − | 0.997649i | \(-0.478169\pi\) |
0.743277 | + | 0.668984i | \(0.233271\pi\) | |||||||
\(158\) | 2505.15 | + | 1869.64i | 1.26139 | + | 0.941397i | ||||
\(159\) | −247.271 | − | 139.261i | −0.123333 | − | 0.0694597i | ||||
\(160\) | 3262.31 | − | 855.479i | 1.61193 | − | 0.422697i | ||||
\(161\) | 228.042 | + | 999.116i | 0.111629 | + | 0.489077i | ||||
\(162\) | 1625.34 | − | 1213.02i | 0.788265 | − | 0.588297i | ||||
\(163\) | −1760.03 | − | 1937.99i | −0.845746 | − | 0.931260i | 0.152627 | − | 0.988284i | \(-0.451227\pi\) |
−0.998373 | + | 0.0570238i | \(0.981839\pi\) | |||||||
\(164\) | 1617.96 | + | 2028.86i | 0.770374 | + | 0.966018i | ||||
\(165\) | −1157.34 | − | 384.262i | −0.546052 | − | 0.181302i | ||||
\(166\) | 2695.35 | − | 1091.23i | 1.26024 | − | 0.510214i | ||||
\(167\) | −261.065 | + | 2706.21i | −0.120969 | + | 1.25397i | 0.712606 | + | 0.701564i | \(0.247515\pi\) |
−0.833575 | + | 0.552406i | \(0.813710\pi\) | |||||||
\(168\) | −23.5667 | + | 25.9496i | −0.0108227 | + | 0.0119170i | ||||
\(169\) | −4209.66 | − | 270.269i | −1.91609 | − | 0.123017i | ||||
\(170\) | −5917.60 | − | 1551.78i | −2.66976 | − | 0.700093i | ||||
\(171\) | 205.444 | − | 2129.65i | 0.0918756 | − | 0.952387i | ||||
\(172\) | 1168.17 | − | 2638.91i | 0.517861 | − | 1.16986i | ||||
\(173\) | −1599.81 | + | 1549.33i | −0.703073 | + | 0.680888i | −0.958226 | − | 0.286013i | \(-0.907670\pi\) |
0.255153 | + | 0.966901i | \(0.417874\pi\) | |||||||
\(174\) | −267.539 | − | 1654.83i | −0.116564 | − | 0.720989i | ||||
\(175\) | 378.191 | − | 1027.67i | 0.163363 | − | 0.443911i | ||||
\(176\) | −1768.02 | + | 2916.54i | −0.757214 | + | 1.24910i | ||||
\(177\) | 431.930 | − | 208.006i | 0.183423 | − | 0.0883317i | ||||
\(178\) | 447.039 | + | 215.282i | 0.188241 | + | 0.0906523i | ||||
\(179\) | −879.582 | − | 2963.61i | −0.367280 | − | 1.23749i | −0.915897 | − | 0.401414i | \(-0.868519\pi\) |
0.548617 | − | 0.836074i | \(-0.315155\pi\) | |||||||
\(180\) | 1864.12 | + | 1805.30i | 0.771908 | + | 0.747551i | ||||
\(181\) | −583.993 | − | 153.141i | −0.239823 | − | 0.0628889i | 0.131787 | − | 0.991278i | \(-0.457929\pi\) |
−0.371609 | + | 0.928389i | \(0.621194\pi\) | |||||||
\(182\) | 243.530 | − | 7594.16i | 0.0991848 | − | 3.09295i | ||||
\(183\) | −596.790 | −0.241071 | ||||||||
\(184\) | 1.22159 | − | 38.0938i | 0.000489440 | − | 0.0152625i | ||||
\(185\) | 1328.07 | − | 1462.35i | 0.527792 | − | 0.581158i | ||||
\(186\) | −342.130 | + | 1152.75i | −0.134872 | + | 0.454429i | ||||
\(187\) | 5541.25 | − | 3120.77i | 2.16693 | − | 1.22039i | ||||
\(188\) | −766.186 | − | 2081.97i | −0.297233 | − | 0.807679i | ||||
\(189\) | 2007.53 | + | 390.967i | 0.772628 | + | 0.150469i | ||||
\(190\) | 4669.32 | − | 299.780i | 1.78288 | − | 0.114465i | ||||
\(191\) | 590.339 | − | 740.262i | 0.223641 | − | 0.280437i | −0.657334 | − | 0.753599i | \(-0.728316\pi\) |
0.880975 | + | 0.473162i | \(0.156888\pi\) | |||||||
\(192\) | −767.973 | + | 499.895i | −0.288665 | + | 0.187900i | ||||
\(193\) | −3247.92 | − | 418.773i | −1.21135 | − | 0.156186i | −0.504413 | − | 0.863463i | \(-0.668291\pi\) |
−0.706937 | + | 0.707277i | \(0.749924\pi\) | |||||||
\(194\) | −3209.34 | + | 4600.84i | −1.18772 | + | 1.70268i | ||||
\(195\) | 1778.00 | + | 114.151i | 0.652950 | + | 0.0419208i | ||||
\(196\) | 1741.17 | 0.634536 | ||||||||
\(197\) | 1996.60 | − | 1912.84i | 0.722090 | − | 0.691799i | ||||
\(198\) | −5323.85 | −1.91086 | ||||||||
\(199\) | −5143.54 | − | 330.226i | −1.83224 | − | 0.117634i | −0.890713 | − | 0.454566i | \(-0.849794\pi\) |
−0.941529 | + | 0.336932i | \(0.890611\pi\) | |||||||
\(200\) | −23.2997 | + | 33.4019i | −0.00823770 | + | 0.0118094i | ||||
\(201\) | 469.812 | + | 60.5756i | 0.164866 | + | 0.0212571i | ||||
\(202\) | −5560.27 | + | 3619.33i | −1.93673 | + | 1.26067i | ||||
\(203\) | −3599.09 | + | 4513.12i | −1.24437 | + | 1.56039i | ||||
\(204\) | 1615.95 | − | 103.747i | 0.554602 | − | 0.0356067i | ||||
\(205\) | 4059.09 | + | 790.507i | 1.38292 | + | 0.269324i | ||||
\(206\) | 1199.85 | + | 3260.37i | 0.405813 | + | 1.10272i | ||||
\(207\) | −914.114 | + | 514.819i | −0.306934 | + | 0.172862i | ||||
\(208\) | 1417.78 | − | 4776.99i | 0.472623 | − | 1.59242i | ||||
\(209\) | −3270.05 | + | 3600.69i | −1.08227 | + | 1.19170i | ||||
\(210\) | −67.6330 | + | 2109.05i | −0.0222244 | + | 0.693038i | ||||
\(211\) | −1373.27 | −0.448055 | −0.224028 | − | 0.974583i | \(-0.571921\pi\) | ||||
−0.224028 | + | 0.974583i | \(0.571921\pi\) | |||||||
\(212\) | 44.0036 | − | 1372.19i | 0.0142556 | − | 0.444541i | ||||
\(213\) | −311.843 | − | 81.7749i | −0.100315 | − | 0.0263057i | ||||
\(214\) | 2832.18 | + | 2742.81i | 0.904690 | + | 0.876144i | ||||
\(215\) | −1308.52 | − | 4408.85i | −0.415072 | − | 1.39852i | ||||
\(216\) | −68.5314 | − | 33.0030i | −0.0215878 | − | 0.0103962i | ||||
\(217\) | 3730.66 | − | 1796.59i | 1.16707 | − | 0.562030i | ||||
\(218\) | −1167.14 | + | 1925.33i | −0.362610 | + | 0.598163i | ||||
\(219\) | −647.573 | + | 1759.66i | −0.199812 | + | 0.542955i | ||||
\(220\) | −941.548 | − | 5823.81i | −0.288542 | − | 1.78473i | ||||
\(221\) | −6674.57 | + | 6463.96i | −2.03158 | + | 1.96748i | ||||
\(222\) | −417.692 | + | 943.574i | −0.126278 | + | 0.285264i | ||||
\(223\) | −197.637 | + | 2048.72i | −0.0593488 | + | 0.615212i | 0.916982 | + | 0.398929i | \(0.130618\pi\) |
−0.976331 | + | 0.216283i | \(0.930607\pi\) | |||||||
\(224\) | 5868.29 | + | 1538.85i | 1.75041 | + | 0.459011i | ||||
\(225\) | 1118.71 | + | 71.8239i | 0.331471 | + | 0.0212811i | ||||
\(226\) | −3131.69 | + | 3448.34i | −0.921757 | + | 1.01496i | ||||
\(227\) | 187.370 | − | 1942.29i | 0.0547851 | − | 0.567904i | −0.926626 | − | 0.375985i | \(-0.877304\pi\) |
0.981411 | − | 0.191919i | \(-0.0614712\pi\) | |||||||
\(228\) | −1147.94 | + | 464.751i | −0.333441 | + | 0.134995i | ||||
\(229\) | −2149.17 | − | 713.572i | −0.620179 | − | 0.205913i | −0.0122754 | − | 0.999925i | \(-0.503907\pi\) |
−0.607903 | + | 0.794011i | \(0.707989\pi\) | |||||||
\(230\) | −1430.47 | − | 1793.76i | −0.410098 | − | 0.514247i | ||||
\(231\) | −1474.75 | − | 1623.86i | −0.420048 | − | 0.462520i | ||||
\(232\) | 172.050 | − | 128.404i | 0.0486880 | − | 0.0363368i | ||||
\(233\) | 563.434 | + | 2468.57i | 0.158420 | + | 0.694083i | 0.990279 | + | 0.139096i | \(0.0444196\pi\) |
−0.831859 | + | 0.554987i | \(0.812723\pi\) | |||||||
\(234\) | 7523.87 | − | 1972.99i | 2.10193 | − | 0.551190i | ||||
\(235\) | −3080.40 | − | 1734.85i | −0.855076 | − | 0.481570i | ||||
\(236\) | 1858.67 | + | 1387.16i | 0.512665 | + | 0.382612i | ||||
\(237\) | −1222.15 | + | 494.794i | −0.334967 | + | 0.135613i | ||||
\(238\) | −7905.11 | − | 7655.67i | −2.15299 | − | 2.08506i | ||||
\(239\) | −1320.24 | + | 1892.67i | −0.357320 | + | 0.512245i | −0.957816 | − | 0.287383i | \(-0.907215\pi\) |
0.600496 | + | 0.799628i | \(0.294970\pi\) | |||||||
\(240\) | −393.746 | + | 1326.66i | −0.105901 | + | 0.356815i | ||||
\(241\) | −280.595 | + | 633.868i | −0.0749987 | + | 0.169423i | −0.947980 | − | 0.318331i | \(-0.896878\pi\) |
0.872981 | + | 0.487754i | \(0.162184\pi\) | |||||||
\(242\) | 5403.97 | + | 4033.09i | 1.43546 | + | 1.07131i | ||||
\(243\) | 307.248 | + | 3184.94i | 0.0811109 | + | 0.840799i | ||||
\(244\) | −1335.40 | − | 2559.71i | −0.350370 | − | 0.671593i | ||||
\(245\) | 2112.78 | − | 1798.63i | 0.550940 | − | 0.469022i | ||||
\(246\) | −2142.44 | + | 276.237i | −0.555272 | + | 0.0715944i | ||||
\(247\) | 3286.97 | − | 6300.50i | 0.846740 | − | 1.62304i | ||||
\(248\) | −151.156 | + | 29.4377i | −0.0387033 | + | 0.00753747i | ||||
\(249\) | −195.756 | + | 1210.82i | −0.0498213 | + | 0.308162i | ||||
\(250\) | −397.580 | − | 4121.34i | −0.100581 | − | 1.04262i | ||||
\(251\) | −3884.87 | − | 1289.86i | −0.976935 | − | 0.324365i | −0.218301 | − | 0.975882i | \(-0.570051\pi\) |
−0.758634 | + | 0.651517i | \(0.774133\pi\) | |||||||
\(252\) | 1328.15 | + | 4474.99i | 0.332007 | + | 1.11864i | ||||
\(253\) | 2365.45 | + | 304.991i | 0.587806 | + | 0.0757891i | ||||
\(254\) | 572.366 | − | 322.351i | 0.141392 | − | 0.0796302i | ||||
\(255\) | 1853.66 | − | 1795.17i | 0.455218 | − | 0.440854i | ||||
\(256\) | 3366.98 | + | 1896.25i | 0.822017 | + | 0.462951i | ||||
\(257\) | −655.540 | + | 4054.75i | −0.159111 | + | 0.984157i | 0.776241 | + | 0.630437i | \(0.217124\pi\) |
−0.935351 | + | 0.353720i | \(0.884917\pi\) | |||||||
\(258\) | 1374.42 | + | 1970.33i | 0.331657 | + | 0.475455i | ||||
\(259\) | 3372.36 | − | 1119.70i | 0.809067 | − | 0.268629i | ||||
\(260\) | 3488.91 | + | 7881.50i | 0.832203 | + | 1.87996i | ||||
\(261\) | −5477.52 | − | 2217.60i | −1.29904 | − | 0.525924i | ||||
\(262\) | −4352.71 | − | 7180.25i | −1.02638 | − | 1.69312i | ||||
\(263\) | −509.792 | − | 730.826i | −0.119525 | − | 0.171348i | 0.755923 | − | 0.654661i | \(-0.227189\pi\) |
−0.875448 | + | 0.483313i | \(0.839433\pi\) | |||||||
\(264\) | 37.7342 | + | 72.3293i | 0.00879688 | + | 0.0168620i | ||||
\(265\) | −1364.09 | − | 1710.51i | −0.316208 | − | 0.396512i | ||||
\(266\) | 7583.01 | + | 3651.79i | 1.74791 | + | 0.841750i | ||||
\(267\) | −175.401 | + | 114.173i | −0.0402037 | + | 0.0261697i | ||||
\(268\) | 791.452 | + | 2150.63i | 0.180394 | + | 0.490189i | ||||
\(269\) | 249.234 | + | 1541.60i | 0.0564909 | + | 0.349416i | 0.999845 | + | 0.0176273i | \(0.00561124\pi\) |
−0.943354 | + | 0.331789i | \(0.892348\pi\) | |||||||
\(270\) | −4429.07 | + | 1161.44i | −0.998313 | + | 0.261788i | ||||
\(271\) | 1943.41 | − | 378.480i | 0.435624 | − | 0.0848377i | 0.0314190 | − | 0.999506i | \(-0.489997\pi\) |
0.404205 | + | 0.914669i | \(0.367548\pi\) | |||||||
\(272\) | −3741.22 | − | 6171.54i | −0.833989 | − | 1.37575i | ||||
\(273\) | 2685.96 | + | 1748.37i | 0.595465 | + | 0.387605i | ||||
\(274\) | −1484.22 | + | 6502.77i | −0.327244 | + | 1.43375i | ||||
\(275\) | −1940.54 | − | 1652.01i | −0.425524 | − | 0.362254i | ||||
\(276\) | 508.949 | + | 331.289i | 0.110997 | + | 0.0722509i | ||||
\(277\) | 259.696 | − | 86.2251i | 0.0563308 | − | 0.0187031i | −0.286804 | − | 0.957989i | \(-0.592593\pi\) |
0.343135 | + | 0.939286i | \(0.388511\pi\) | |||||||
\(278\) | −170.754 | + | 145.365i | −0.0368387 | + | 0.0313613i | ||||
\(279\) | 2849.83 | + | 3137.98i | 0.611523 | + | 0.673355i | ||||
\(280\) | −243.479 | + | 117.253i | −0.0519666 | + | 0.0250258i | ||||
\(281\) | 3029.67 | − | 3799.08i | 0.643184 | − | 0.806528i | −0.348213 | − | 0.937415i | \(-0.613211\pi\) |
0.991397 | + | 0.130888i | \(0.0417828\pi\) | |||||||
\(282\) | 1812.69 | + | 353.021i | 0.382780 | + | 0.0745464i | ||||
\(283\) | −19.2663 | + | 52.3527i | −0.00404686 | + | 0.0109966i | −0.940476 | − | 0.339861i | \(-0.889620\pi\) |
0.936429 | + | 0.350857i | \(0.114110\pi\) | |||||||
\(284\) | −347.048 | − | 1520.52i | −0.0725124 | − | 0.317698i | ||||
\(285\) | −912.855 | + | 1749.77i | −0.189729 | + | 0.363675i | ||||
\(286\) | −16390.6 | − | 6635.82i | −3.38880 | − | 1.37197i | ||||
\(287\) | 5664.17 | + | 4821.98i | 1.16497 | + | 0.991751i | ||||
\(288\) | 199.059 | + | 6207.39i | 0.0407280 | + | 1.27005i | ||||
\(289\) | 273.857 | + | 8539.87i | 0.0557413 | + | 1.73822i | ||||
\(290\) | 2875.69 | − | 12599.2i | 0.582297 | − | 2.55121i | ||||
\(291\) | −957.771 | − | 2163.62i | −0.192940 | − | 0.435855i | ||||
\(292\) | −8996.47 | + | 1159.97i | −1.80301 | + | 0.232472i | ||||
\(293\) | 4237.57 | − | 3162.58i | 0.844919 | − | 0.630580i | −0.0858006 | − | 0.996312i | \(-0.527345\pi\) |
0.930720 | + | 0.365733i | \(0.119182\pi\) | |||||||
\(294\) | −751.363 | + | 1239.45i | −0.149049 | + | 0.245872i | ||||
\(295\) | 3688.29 | − | 236.796i | 0.727935 | − | 0.0467350i | ||||
\(296\) | −131.881 | + | 8.46705i | −0.0258967 | + | 0.00166263i | ||||
\(297\) | 2467.50 | − | 4070.39i | 0.482083 | − | 0.795246i | ||||
\(298\) | −4593.01 | + | 3427.85i | −0.892838 | + | 0.666342i | ||||
\(299\) | −3455.98 | + | 445.599i | −0.668443 | + | 0.0861862i | ||||
\(300\) | −262.661 | − | 593.357i | −0.0505492 | − | 0.114192i | ||||
\(301\) | 1840.83 | − | 8065.20i | 0.352504 | − | 1.54442i | ||||
\(302\) | −304.158 | − | 9484.76i | −0.0579547 | − | 1.80724i | ||||
\(303\) | −89.6939 | − | 2796.99i | −0.0170059 | − | 0.530306i | ||||
\(304\) | 4202.95 | + | 3578.02i | 0.792946 | + | 0.675045i | ||||
\(305\) | −4264.60 | − | 1726.54i | −0.800623 | − | 0.324136i | ||||
\(306\) | 5210.74 | − | 9988.01i | 0.973458 | − | 1.86594i | ||||
\(307\) | 1439.48 | + | 6306.76i | 0.267607 | + | 1.17246i | 0.912788 | + | 0.408433i | \(0.133925\pi\) |
−0.645181 | + | 0.764029i | \(0.723218\pi\) | |||||||
\(308\) | 3665.00 | − | 9958.99i | 0.678028 | − | 1.84242i | ||||
\(309\) | −1438.37 | − | 280.123i | −0.264810 | − | 0.0515717i | ||||
\(310\) | −5779.79 | + | 7247.63i | −1.05894 | + | 1.32786i | ||||
\(311\) | −85.5105 | + | 41.1797i | −0.0155912 | + | 0.00750832i | −0.441663 | − | 0.897181i | \(-0.645611\pi\) |
0.426072 | + | 0.904689i | \(0.359897\pi\) | |||||||
\(312\) | −80.1323 | − | 88.2346i | −0.0145404 | − | 0.0160106i | ||||
\(313\) | −6116.01 | + | 5206.63i | −1.10446 | + | 0.940244i | −0.998534 | − | 0.0541299i | \(-0.982761\pi\) |
−0.105930 | + | 0.994374i | \(0.533782\pi\) | |||||||
\(314\) | −6584.86 | + | 2186.32i | −1.18346 | + | 0.392934i | ||||
\(315\) | 6234.29 | + | 4058.08i | 1.11512 | + | 0.725862i | ||||
\(316\) | −4856.97 | − | 4134.80i | −0.864639 | − | 0.736078i | ||||
\(317\) | −1414.47 | + | 6197.20i | −0.250614 | + | 1.09801i | 0.680346 | + | 0.732891i | \(0.261829\pi\) |
−0.930960 | + | 0.365121i | \(0.881028\pi\) | |||||||
\(318\) | 957.809 | + | 623.465i | 0.168903 | + | 0.109944i | ||||
\(319\) | 6964.24 | + | 11488.2i | 1.22233 | + | 2.01636i | ||||
\(320\) | −6934.07 | + | 1350.41i | −1.21133 | + | 0.235907i | ||||
\(321\) | −1608.61 | + | 421.828i | −0.279701 | + | 0.0733462i | ||||
\(322\) | −658.671 | − | 4074.11i | −0.113995 | − | 0.705098i | ||||
\(323\) | −3554.64 | − | 9659.09i | −0.612338 | − | 1.66392i | ||||
\(324\) | −3468.38 | + | 2257.67i | −0.594716 | + | 0.387117i | ||||
\(325\) | 3354.68 | + | 1615.53i | 0.572566 | + | 0.275733i | ||||
\(326\) | 6573.24 | + | 8242.58i | 1.11674 | + | 1.40035i | ||||
\(327\) | −439.259 | − | 841.978i | −0.0742847 | − | 0.142390i | ||||
\(328\) | −158.276 | − | 226.901i | −0.0266443 | − | 0.0381966i | ||||
\(329\) | −3296.66 | − | 5438.18i | −0.552434 | − | 0.911297i | ||||
\(330\) | 4551.99 | + | 1842.90i | 0.759330 | + | 0.307418i | ||||
\(331\) | 1238.82 | + | 2798.51i | 0.205714 | + | 0.464712i | 0.987256 | − | 0.159141i | \(-0.0508724\pi\) |
−0.781541 | + | 0.623853i | \(0.785566\pi\) | |||||||
\(332\) | −5631.39 | + | 1869.75i | −0.930911 | + | 0.309084i | ||||
\(333\) | 2081.17 | + | 2983.51i | 0.342484 | + | 0.490977i | ||||
\(334\) | 1747.43 | − | 10808.4i | 0.286272 | − | 1.77069i | ||||
\(335\) | 3181.98 | + | 1792.06i | 0.518955 | + | 0.292270i | ||||
\(336\) | −1788.19 | + | 1731.76i | −0.290338 | + | 0.281177i | ||||
\(337\) | 289.358 | − | 162.963i | 0.0467725 | − | 0.0263418i | −0.467155 | − | 0.884176i | \(-0.654721\pi\) |
0.513927 | + | 0.857834i | \(0.328190\pi\) | |||||||
\(338\) | 16848.1 | + | 2172.33i | 2.71130 | + | 0.349583i | ||||
\(339\) | −559.045 | − | 1883.61i | −0.0895669 | − | 0.301781i | ||||
\(340\) | 11847.5 | + | 3933.65i | 1.88977 | + | 0.627447i | ||||
\(341\) | −925.342 | − | 9592.14i | −0.146950 | − | 1.52329i | ||||
\(342\) | −1375.13 | + | 8505.67i | −0.217423 | + | 1.34484i | ||||
\(343\) | −3031.60 | + | 590.405i | −0.477234 | + | 0.0929413i | ||||
\(344\) | −142.306 | + | 272.774i | −0.0223042 | + | 0.0427529i | ||||
\(345\) | 959.793 | − | 123.752i | 0.149778 | − | 0.0193118i | ||||
\(346\) | 6829.13 | − | 5813.72i | 1.06109 | − | 0.903317i | ||||
\(347\) | −5204.06 | − | 9975.21i | −0.805096 | − | 1.54322i | −0.839214 | − | 0.543801i | \(-0.816984\pi\) |
0.0341175 | − | 0.999418i | \(-0.489138\pi\) | |||||||
\(348\) | 328.458 | + | 3404.81i | 0.0505954 | + | 0.524474i | ||||
\(349\) | −1964.52 | − | 1466.16i | −0.301314 | − | 0.224876i | 0.436790 | − | 0.899563i | \(-0.356115\pi\) |
−0.738104 | + | 0.674687i | \(0.764279\pi\) | |||||||
\(350\) | −1785.04 | + | 4032.44i | −0.272613 | + | 0.615837i | ||||
\(351\) | −1978.70 | + | 6666.88i | −0.300897 | + | 1.01382i | ||||
\(352\) | 8077.71 | − | 11580.0i | 1.22313 | − | 1.75346i | ||||
\(353\) | 1407.03 | + | 1362.63i | 0.212149 | + | 0.205455i | 0.794131 | − | 0.607747i | \(-0.207927\pi\) |
−0.581982 | + | 0.813202i | \(0.697722\pi\) | |||||||
\(354\) | −1789.52 | + | 724.496i | −0.268678 | + | 0.108776i | ||||
\(355\) | −1991.82 | − | 1486.53i | −0.297788 | − | 0.222245i | ||||
\(356\) | −882.189 | − | 496.840i | −0.131337 | − | 0.0739676i | ||||
\(357\) | 4489.92 | − | 1177.40i | 0.665635 | − | 0.174550i | ||||
\(358\) | 2770.23 | + | 12137.2i | 0.408970 | + | 1.79181i | ||||
\(359\) | 7707.05 | − | 5751.92i | 1.13304 | − | 0.845612i | 0.143472 | − | 0.989654i | \(-0.454173\pi\) |
0.989572 | + | 0.144042i | \(0.0460101\pi\) | |||||||
\(360\) | −185.992 | − | 204.798i | −0.0272296 | − | 0.0299828i | ||||
\(361\) | 631.500 | + | 791.876i | 0.0920688 | + | 0.115451i | ||||
\(362\) | 2307.46 | + | 766.128i | 0.335020 | + | 0.111234i | ||||
\(363\) | −2636.36 | + | 1067.34i | −0.381193 | + | 0.154328i | ||||
\(364\) | −1488.77 | + | 15432.7i | −0.214376 | + | 2.22223i | ||||
\(365\) | −9718.28 | + | 10700.9i | −1.39364 | + | 1.53455i | ||||
\(366\) | 2398.40 | + | 153.982i | 0.342530 | + | 0.0219912i | ||||
\(367\) | −8357.61 | − | 2191.62i | −1.18873 | − | 0.311722i | −0.394245 | − | 0.919006i | \(-0.628994\pi\) |
−0.794485 | + | 0.607284i | \(0.792259\pi\) | |||||||
\(368\) | 259.893 | − | 2694.06i | 0.0368148 | − | 0.381624i | ||||
\(369\) | −3082.47 | + | 6963.36i | −0.434870 | + | 0.982380i | ||||
\(370\) | −5714.59 | + | 5534.27i | −0.802939 | + | 0.777603i | ||||
\(371\) | −628.103 | − | 3885.04i | −0.0878961 | − | 0.543669i | ||||
\(372\) | 847.412 | − | 2302.69i | 0.118108 | − | 0.320938i | ||||
\(373\) | 3453.40 | − | 5696.74i | 0.479384 | − | 0.790794i | −0.518550 | − | 0.855047i | \(-0.673528\pi\) |
0.997934 | + | 0.0642536i | \(0.0204667\pi\) | |||||||
\(374\) | −23074.5 | + | 11112.1i | −3.19026 | + | 1.53635i | ||||
\(375\) | 1573.50 | + | 757.758i | 0.216681 | + | 0.104348i | ||||
\(376\) | 67.2935 | + | 226.734i | 0.00922978 | + | 0.0310982i | ||||
\(377\) | −14099.6 | − | 13654.7i | −1.92617 | − | 1.86540i | ||||
\(378\) | −7967.06 | − | 2089.21i | −1.08408 | − | 0.284279i | ||||
\(379\) | −140.822 | + | 4391.34i | −0.0190858 | + | 0.595167i | 0.944615 | + | 0.328181i | \(0.106436\pi\) |
−0.963701 | + | 0.266985i | \(0.913972\pi\) | |||||||
\(380\) | −9547.64 | −1.28890 | ||||||||
\(381\) | −8.88084 | + | 276.937i | −0.00119417 | + | 0.0372386i | ||||
\(382\) | −2563.47 | + | 2822.67i | −0.343347 | + | 0.378063i | ||||
\(383\) | 2661.36 | − | 8966.99i | 0.355063 | − | 1.19632i | −0.571633 | − | 0.820510i | \(-0.693690\pi\) |
0.926695 | − | 0.375814i | \(-0.122637\pi\) | |||||||
\(384\) | 165.906 | − | 93.4363i | 0.0220477 | − | 0.0124171i | ||||
\(385\) | −5840.47 | − | 15870.4i | −0.773137 | − | 2.10086i | ||||
\(386\) | 12944.8 | + | 2521.00i | 1.70692 | + | 0.332423i | ||||
\(387\) | 8451.40 | − | 542.598i | 1.11010 | − | 0.0712708i | ||||
\(388\) | 7136.91 | − | 8949.41i | 0.933819 | − | 1.17097i | ||||
\(389\) | −4748.94 | + | 3091.21i | −0.618973 | + | 0.402907i | −0.816463 | − | 0.577398i | \(-0.804068\pi\) |
0.197490 | + | 0.980305i | \(0.436721\pi\) | |||||||
\(390\) | −7116.02 | − | 917.509i | −0.923932 | − | 0.119128i | ||||
\(391\) | −2887.39 | + | 4139.29i | −0.373457 | + | 0.535378i | ||||
\(392\) | −185.242 | − | 11.8930i | −0.0238677 | − | 0.00153236i | ||||
\(393\) | 3541.67 | 0.454589 | ||||||||
\(394\) | −8517.53 | + | 7172.23i | −1.08910 | + | 0.917086i | ||||
\(395\) | −10164.8 | −1.29480 | ||||||||
\(396\) | 10841.3 | + | 696.035i | 1.37575 | + | 0.0883260i | ||||
\(397\) | 1333.98 | − | 1912.36i | 0.168641 | − | 0.241759i | −0.726895 | − | 0.686748i | \(-0.759037\pi\) |
0.895536 | + | 0.444989i | \(0.146793\pi\) | |||||||
\(398\) | 20585.8 | + | 2654.25i | 2.59265 | + | 0.334285i | ||||
\(399\) | −2975.29 | + | 1936.70i | −0.373310 | + | 0.242998i | ||||
\(400\) | −1803.17 | + | 2261.11i | −0.225397 | + | 0.282639i | ||||
\(401\) | −1781.06 | + | 114.348i | −0.221800 | + | 0.0142401i | −0.174574 | − | 0.984644i | \(-0.555855\pi\) |
−0.0472268 | + | 0.998884i | \(0.515038\pi\) | |||||||
\(402\) | −1872.46 | − | 364.662i | −0.232313 | − | 0.0452430i | ||||
\(403\) | 4862.53 | + | 13213.1i | 0.601042 | + | 1.63322i | ||||
\(404\) | 11795.9 | − | 6643.35i | 1.45265 | − | 0.818116i | ||||
\(405\) | −1876.44 | + | 6322.36i | −0.230225 | + | 0.775705i | ||||
\(406\) | 15628.6 | − | 17208.8i | 1.91043 | − | 2.10359i | ||||
\(407\) | 265.059 | − | 8265.53i | 0.0322813 | − | 1.00665i | ||||
\(408\) | −172.629 | −0.0209470 | ||||||||
\(409\) | −451.968 | + | 14094.0i | −0.0546415 | + | 1.70392i | 0.495300 | + | 0.868722i | \(0.335058\pi\) |
−0.549942 | + | 0.835203i | \(0.685350\pi\) | |||||||
\(410\) | −16108.8 | − | 4224.22i | −1.94038 | − | 0.508828i | ||||
\(411\) | −2021.01 | − | 1957.24i | −0.242553 | − | 0.234899i | ||||
\(412\) | −2017.07 | − | 6796.19i | −0.241199 | − | 0.812680i | ||||
\(413\) | 5989.83 | + | 2884.55i | 0.713656 | + | 0.343679i | ||||
\(414\) | 3806.50 | − | 1833.11i | 0.451882 | − | 0.217615i | ||||
\(415\) | −4901.80 | + | 8086.04i | −0.579808 | + | 0.956453i | ||||
\(416\) | −7124.25 | + | 19358.9i | −0.839651 | + | 2.28160i | ||||
\(417\) | −15.0964 | − | 93.3764i | −0.00177284 | − | 0.0109656i | ||||
\(418\) | 14070.8 | − | 13626.8i | 1.64647 | − | 1.59452i | ||||
\(419\) | 1460.64 | − | 3299.61i | 0.170303 | − | 0.384717i | −0.808800 | − | 0.588084i | \(-0.799882\pi\) |
0.979103 | + | 0.203367i | \(0.0651884\pi\) | |||||||
\(420\) | 413.461 | − | 4285.95i | 0.0480353 | − | 0.497936i | ||||
\(421\) | −12480.7 | − | 3272.81i | −1.44482 | − | 0.378877i | −0.553728 | − | 0.832697i | \(-0.686795\pi\) |
−0.891093 | + | 0.453820i | \(0.850061\pi\) | |||||||
\(422\) | 5518.92 | + | 354.327i | 0.636628 | + | 0.0408729i | ||||
\(423\) | 4376.82 | − | 4819.36i | 0.503093 | − | 0.553961i | ||||
\(424\) | −14.0542 | + | 145.687i | −0.00160975 | + | 0.0166867i | ||||
\(425\) | 4998.63 | − | 2023.72i | 0.570515 | − | 0.230976i | ||||
\(426\) | 1232.14 | + | 409.100i | 0.140135 | + | 0.0465281i | ||||
\(427\) | −5160.03 | − | 6470.47i | −0.584804 | − | 0.733321i | ||||
\(428\) | −5408.76 | − | 5955.65i | −0.610847 | − | 0.672610i | ||||
\(429\) | 5977.48 | − | 4461.11i | 0.672717 | − | 0.502062i | ||||
\(430\) | 4121.17 | + | 18056.0i | 0.462187 | + | 2.02497i | ||||
\(431\) | −2400.34 | + | 629.443i | −0.268260 | + | 0.0703462i | −0.385334 | − | 0.922777i | \(-0.625914\pi\) |
0.117074 | + | 0.993123i | \(0.462649\pi\) | |||||||
\(432\) | −4706.51 | − | 2650.66i | −0.524171 | − | 0.295208i | ||||
\(433\) | 9194.18 | + | 6861.79i | 1.02043 | + | 0.761563i | 0.971452 | − | 0.237237i | \(-0.0762418\pi\) |
0.0489734 | + | 0.998800i | \(0.484405\pi\) | |||||||
\(434\) | −15456.4 | + | 6257.61i | −1.70952 | + | 0.692108i | ||||
\(435\) | 3915.74 | + | 3792.18i | 0.431599 | + | 0.417980i | ||||
\(436\) | 2628.45 | − | 3768.08i | 0.288715 | − | 0.413895i | ||||
\(437\) | 1098.26 | − | 3700.40i | 0.120222 | − | 0.405067i | ||||
\(438\) | 3056.51 | − | 6904.70i | 0.333437 | − | 0.753241i | ||||
\(439\) | 6820.31 | + | 5090.13i | 0.741493 | + | 0.553391i | 0.901007 | − | 0.433805i | \(-0.142829\pi\) |
−0.159514 | + | 0.987196i | \(0.550993\pi\) | |||||||
\(440\) | 60.3918 | + | 626.024i | 0.00654333 | + | 0.0678285i | ||||
\(441\) | 2363.35 | + | 4530.09i | 0.255193 | + | 0.489158i | ||||
\(442\) | 28491.8 | − | 24255.4i | 3.06610 | − | 2.61021i | ||||
\(443\) | 15747.4 | − | 2030.41i | 1.68890 | − | 0.217760i | 0.777385 | − | 0.629025i | \(-0.216546\pi\) |
0.911516 | + | 0.411265i | \(0.134913\pi\) | |||||||
\(444\) | 973.937 | − | 1866.86i | 0.104101 | − | 0.199543i | ||||
\(445\) | −1583.71 | + | 308.427i | −0.168708 | + | 0.0328558i | ||||
\(446\) | 1322.87 | − | 8182.45i | 0.140448 | − | 0.868722i | ||||
\(447\) | −232.126 | − | 2406.23i | −0.0245619 | − | 0.254610i | ||||
\(448\) | −12060.1 | − | 4004.21i | −1.27184 | − | 0.422280i | ||||
\(449\) | 1807.60 | + | 6090.42i | 0.189991 | + | 0.640144i | 0.998654 | + | 0.0518710i | \(0.0165185\pi\) |
−0.808662 | + | 0.588273i | \(0.799808\pi\) | |||||||
\(450\) | −4477.39 | − | 577.295i | −0.469036 | − | 0.0604755i | ||||
\(451\) | 15084.3 | − | 8495.33i | 1.57493 | − | 0.886983i | ||||
\(452\) | 6828.11 | − | 6612.65i | 0.710547 | − | 0.688126i | ||||
\(453\) | 3487.66 | + | 1964.21i | 0.361732 | + | 0.203724i | ||||
\(454\) | −1254.15 | + | 7757.38i | −0.129648 | + | 0.801921i | ||||
\(455\) | 14135.5 | + | 20264.3i | 1.45644 | + | 2.08792i | ||||
\(456\) | 125.304 | − | 41.6038i | 0.0128682 | − | 0.00427253i | ||||
\(457\) | −4746.24 | − | 10721.8i | −0.485820 | − | 1.09748i | −0.974372 | − | 0.224941i | \(-0.927781\pi\) |
0.488553 | − | 0.872534i | \(-0.337525\pi\) | |||||||
\(458\) | 8453.01 | + | 3422.25i | 0.862409 | + | 0.349151i | ||||
\(459\) | 5221.34 | + | 8613.15i | 0.530962 | + | 0.875877i | ||||
\(460\) | 2678.46 | + | 3839.77i | 0.271486 | + | 0.389196i | ||||
\(461\) | 3204.81 | + | 6143.03i | 0.323781 | + | 0.620628i | 0.992411 | − | 0.122968i | \(-0.0392412\pi\) |
−0.668630 | + | 0.743596i | \(0.733119\pi\) | |||||||
\(462\) | 5507.77 | + | 6906.52i | 0.554642 | + | 0.695499i | ||||
\(463\) | 2580.04 | + | 1242.48i | 0.258973 | + | 0.124715i | 0.558866 | − | 0.829258i | \(-0.311237\pi\) |
−0.299893 | + | 0.953973i | \(0.596951\pi\) | |||||||
\(464\) | 12777.0 | − | 8316.90i | 1.27836 | − | 0.832118i | ||||
\(465\) | −1350.42 | − | 3669.53i | −0.134676 | − | 0.365957i | ||||
\(466\) | −1627.41 | − | 10066.1i | −0.161778 | − | 1.00065i | ||||
\(467\) | −2645.68 | + | 693.779i | −0.262157 | + | 0.0687457i | −0.382393 | − | 0.924000i | \(-0.624900\pi\) |
0.120236 | + | 0.992745i | \(0.461635\pi\) | |||||||
\(468\) | −15579.3 | + | 3034.07i | −1.53879 | + | 0.299680i | ||||
\(469\) | 3405.37 | + | 5617.52i | 0.335278 | + | 0.553076i | ||||
\(470\) | 11932.0 | + | 7766.84i | 1.17102 | + | 0.762251i | ||||
\(471\) | 651.228 | − | 2853.22i | 0.0637091 | − | 0.279128i | ||||
\(472\) | −188.268 | − | 160.275i | −0.0183596 | − | 0.0156298i | ||||
\(473\) | −16135.5 | − | 10503.1i | −1.56853 | − | 1.02100i | ||||
\(474\) | 5039.28 | − | 1673.16i | 0.488316 | − | 0.162132i | ||||
\(475\) | −3140.57 | + | 2673.61i | −0.303367 | + | 0.258260i | ||||
\(476\) | 15096.8 | + | 16623.3i | 1.45370 | + | 1.60068i | ||||
\(477\) | 3629.84 | − | 1748.04i | 0.348425 | − | 0.167793i | ||||
\(478\) | 5794.17 | − | 7265.66i | 0.554434 | − | 0.695238i | ||||
\(479\) | −15915.9 | − | 3099.61i | −1.51819 | − | 0.295668i | −0.637908 | − | 0.770113i | \(-0.720200\pi\) |
−0.880285 | + | 0.474445i | \(0.842649\pi\) | |||||||
\(480\) | 1978.54 | − | 5376.34i | 0.188141 | − | 0.511240i | ||||
\(481\) | 2688.57 | + | 11779.4i | 0.254861 | + | 1.11662i | ||||
\(482\) | 1291.21 | − | 2475.01i | 0.122019 | − | 0.233887i | ||||
\(483\) | 1613.56 | + | 653.257i | 0.152007 | + | 0.0615408i | ||||
\(484\) | −10477.2 | − | 8919.36i | −0.983958 | − | 0.837656i | ||||
\(485\) | −584.661 | − | 18231.9i | −0.0547383 | − | 1.70694i | ||||
\(486\) | −413.005 | − | 12879.0i | −0.0385479 | − | 1.20207i | ||||
\(487\) | 1177.40 | − | 5158.52i | 0.109555 | − | 0.479990i | −0.890150 | − | 0.455668i | \(-0.849400\pi\) |
0.999704 | − | 0.0243214i | \(-0.00774252\pi\) | |||||||
\(488\) | 124.589 | + | 281.448i | 0.0115571 | + | 0.0261077i | ||||
\(489\) | −4410.39 | + | 568.657i | −0.407863 | + | 0.0525881i | ||||
\(490\) | −8954.96 | + | 6683.26i | −0.825600 | + | 0.616161i | ||||
\(491\) | 3738.74 | − | 6167.44i | 0.343639 | − | 0.566869i | −0.634985 | − | 0.772524i | \(-0.718994\pi\) |
0.978624 | + | 0.205656i | \(0.0659327\pi\) | |||||||
\(492\) | 4398.91 | − | 282.419i | 0.403085 | − | 0.0258789i | ||||
\(493\) | −28369.2 | + | 1821.37i | −2.59166 | + | 0.166390i | ||||
\(494\) | −14835.4 | + | 24472.5i | −1.35117 | + | 2.22889i | ||||
\(495\) | 13874.1 | − | 10354.5i | 1.25979 | − | 0.940205i | ||||
\(496\) | −10846.0 | + | 1398.44i | −0.981857 | + | 0.126596i | ||||
\(497\) | −1809.68 | − | 4088.09i | −0.163330 | − | 0.368966i | ||||
\(498\) | 1099.12 | − | 4815.56i | 0.0989011 | − | 0.433314i | ||||
\(499\) | 61.5592 | + | 1919.64i | 0.00552258 | + | 0.172214i | 0.998531 | + | 0.0541748i | \(0.0172528\pi\) |
−0.993009 | + | 0.118040i | \(0.962339\pi\) | |||||||
\(500\) | 270.800 | + | 8444.54i | 0.0242211 | + | 0.755302i | ||||
\(501\) | 3516.52 | + | 2993.65i | 0.313586 | + | 0.266959i | ||||
\(502\) | 15279.8 | + | 6186.11i | 1.35851 | + | 0.549999i | ||||
\(503\) | −8454.88 | + | 16206.4i | −0.749472 | + | 1.43660i | 0.144981 | + | 0.989434i | \(0.453688\pi\) |
−0.894453 | + | 0.447163i | \(0.852434\pi\) | |||||||
\(504\) | −110.736 | − | 485.165i | −0.00978682 | − | 0.0428789i | ||||
\(505\) | 7450.88 | − | 20246.4i | 0.656554 | − | 1.78407i | ||||
\(506\) | −9427.66 | − | 1836.04i | −0.828281 | − | 0.161308i | ||||
\(507\) | −4467.55 | + | 5602.13i | −0.391343 | + | 0.490728i | ||||
\(508\) | −1207.69 | + | 581.594i | −0.105478 | + | 0.0507954i | ||||
\(509\) | 9440.64 | + | 10395.2i | 0.822100 | + | 0.905223i | 0.996844 | − | 0.0793906i | \(-0.0252974\pi\) |
−0.174744 | + | 0.984614i | \(0.555910\pi\) | |||||||
\(510\) | −7912.71 | + | 6736.19i | −0.687021 | + | 0.584870i | ||||
\(511\) | −24677.6 | + | 8193.53i | −2.13635 | + | 0.709316i | ||||
\(512\) | −13793.6 | − | 8978.64i | −1.19062 | − | 0.775007i | ||||
\(513\) | −5865.74 | − | 4993.58i | −0.504832 | − | 0.429770i | ||||
\(514\) | 3680.70 | − | 16126.2i | 0.315853 | − | 1.38384i | ||||
\(515\) | −9468.05 | − | 6163.02i | −0.810121 | − | 0.527330i | ||||
\(516\) | −2541.22 | − | 4192.00i | −0.216804 | − | 0.357641i | ||||
\(517\) | −14527.2 | + | 2829.18i | −1.23580 | + | 0.240671i | ||||
\(518\) | −13841.8 | + | 3629.76i | −1.17408 | + | 0.307881i | ||||
\(519\) | 603.763 | + | 3734.49i | 0.0510641 | + | 0.315849i | ||||
\(520\) | −317.350 | − | 862.341i | −0.0267629 | − | 0.0727234i | ||||
\(521\) | 3688.42 | − | 2400.89i | 0.310158 | − | 0.201891i | −0.381035 | − | 0.924561i | \(-0.624432\pi\) |
0.691193 | + | 0.722670i | \(0.257085\pi\) | |||||||
\(522\) | 21441.0 | + | 10325.5i | 1.79779 | + | 0.865772i | ||||
\(523\) | −2184.01 | − | 2738.66i | −0.182601 | − | 0.228974i | 0.682103 | − | 0.731256i | \(-0.261065\pi\) |
−0.864704 | + | 0.502282i | \(0.832494\pi\) | |||||||
\(524\) | 7924.97 | + | 15190.7i | 0.660695 | + | 1.26643i | ||||
\(525\) | −1064.19 | − | 1525.59i | −0.0884664 | − | 0.126823i | ||||
\(526\) | 1860.20 | + | 3068.60i | 0.154199 | + | 0.254367i | ||||
\(527\) | 18901.4 | + | 7652.32i | 1.56235 | + | 0.632525i | ||||
\(528\) | 2345.05 | + | 5297.50i | 0.193286 | + | 0.436637i | ||||
\(529\) | 9750.87 | − | 3237.51i | 0.801420 | − | 0.266090i | ||||
\(530\) | 5040.68 | + | 7226.20i | 0.413120 | + | 0.592238i | ||||
\(531\) | −1086.22 | + | 6718.64i | −0.0887717 | + | 0.549085i | ||||
\(532\) | −14964.4 | − | 8427.78i | −1.21953 | − | 0.686824i | ||||
\(533\) | −18169.4 | + | 17596.1i | −1.47656 | + | 1.42997i | ||||
\(534\) | 734.366 | − | 413.587i | 0.0595114 | − | 0.0335162i | ||||
\(535\) | −12715.3 | − | 1639.46i | −1.02754 | − | 0.132486i | ||||
\(536\) | −69.5126 | − | 234.211i | −0.00560166 | − | 0.0188738i | ||||
\(537\) | −4983.61 | − | 1654.67i | −0.400482 | − | 0.132969i | ||||
\(538\) | −603.868 | − | 6259.72i | −0.0483914 | − | 0.501628i | ||||
\(539\) | 1853.89 | − | 11467.0i | 0.148150 | − | 0.916358i | ||||
\(540\) | 9171.05 | − | 1786.06i | 0.730851 | − | 0.142333i | ||||
\(541\) | 5991.58 | − | 11484.7i | 0.476152 | − | 0.912694i | −0.522060 | − | 0.852909i | \(-0.674836\pi\) |
0.998211 | − | 0.0597847i | \(-0.0190414\pi\) | |||||||
\(542\) | −7907.90 | + | 1019.61i | −0.626703 | + | 0.0808045i | ||||
\(543\) | −780.887 | + | 664.779i | −0.0617147 | + | 0.0525385i | ||||
\(544\) | 13819.0 | + | 26488.5i | 1.08913 | + | 2.08765i | ||||
\(545\) | −703.014 | − | 7287.48i | −0.0552547 | − | 0.572773i | ||||
\(546\) | −10343.3 | − | 7719.42i | −0.810720 | − | 0.605056i | ||||
\(547\) | 161.597 | − | 365.051i | 0.0126314 | − | 0.0285346i | −0.907986 | − | 0.419001i | \(-0.862380\pi\) |
0.920617 | + | 0.390467i | \(0.127686\pi\) | |||||||
\(548\) | 3872.57 | − | 13048.0i | 0.301876 | − | 1.01712i | ||||
\(549\) | 4847.15 | − | 6948.76i | 0.376815 | − | 0.540193i | ||||
\(550\) | 7372.46 | + | 7139.83i | 0.571568 | + | 0.553533i | ||||
\(551\) | 20153.1 | − | 8159.08i | 1.55817 | − | 0.630832i | ||||
\(552\) | −51.8840 | − | 38.7221i | −0.00400060 | − | 0.00298573i | ||||
\(553\) | −15931.7 | − | 8972.58i | −1.22511 | − | 0.689969i | ||||
\(554\) | −1065.92 | + | 279.518i | −0.0817449 | + | 0.0214360i | ||||
\(555\) | −746.669 | − | 3271.37i | −0.0571069 | − | 0.250202i | ||||
\(556\) | 366.723 | − | 273.693i | 0.0279722 | − | 0.0208762i | ||||
\(557\) | 9650.06 | + | 10625.8i | 0.734087 | + | 0.808311i | 0.987261 | − | 0.159110i | \(-0.0508623\pi\) |
−0.253174 | + | 0.967421i | \(0.581475\pi\) | |||||||
\(558\) | −10643.3 | − | 13346.3i | −0.807469 | − | 1.01253i | ||||
\(559\) | 26695.7 | + | 8863.60i | 2.01987 | + | 0.670645i | ||||
\(560\) | −17788.3 | + | 7201.68i | −1.34231 | + | 0.543440i | ||||
\(561\) | 1037.30 | − | 10752.7i | 0.0780660 | − | 0.809235i | ||||
\(562\) | −13155.9 | + | 14486.1i | −0.987455 | + | 1.08730i | ||||
\(563\) | 3228.87 | + | 207.301i | 0.241706 | + | 0.0155181i | 0.184452 | − | 0.982842i | \(-0.440949\pi\) |
0.0572546 | + | 0.998360i | \(0.481765\pi\) | |||||||
\(564\) | −3645.14 | − | 955.869i | −0.272142 | − | 0.0713641i | ||||
\(565\) | 1454.50 | − | 15077.4i | 0.108303 | − | 1.12268i | ||||
\(566\) | 90.9358 | − | 205.426i | 0.00675321 | − | 0.0152556i | ||||
\(567\) | −8521.82 | + | 8252.92i | −0.631186 | + | 0.611270i | ||||
\(568\) | 26.5365 | + | 164.138i | 0.00196030 | + | 0.0121251i | ||||
\(569\) | −1470.35 | + | 3995.41i | −0.108331 | + | 0.294370i | −0.981020 | − | 0.193906i | \(-0.937884\pi\) |
0.872689 | + | 0.488276i | \(0.162374\pi\) | |||||||
\(570\) | 4120.08 | − | 6796.50i | 0.302756 | − | 0.499428i | ||||
\(571\) | −2964.88 | + | 1427.81i | −0.217297 | + | 0.104645i | −0.539366 | − | 0.842072i | \(-0.681336\pi\) |
0.322069 | + | 0.946716i | \(0.395622\pi\) | |||||||
\(572\) | 32509.7 | + | 15655.9i | 2.37640 | + | 1.14441i | ||||
\(573\) | −457.611 | − | 1541.84i | −0.0333630 | − | 0.112411i | ||||
\(574\) | −21519.2 | − | 20840.2i | −1.56480 | − | 1.51542i | ||||
\(575\) | 1956.29 | + | 512.999i | 0.141883 | + | 0.0372062i | ||||
\(576\) | 416.952 | − | 13002.1i | 0.0301615 | − | 0.940546i | ||||
\(577\) | −6909.59 | −0.498527 | −0.249263 | − | 0.968436i | \(-0.580189\pi\) | ||||
−0.249263 | + | 0.968436i | \(0.580189\pi\) | |||||||
\(578\) | 1102.85 | − | 34390.9i | 0.0793642 | − | 2.47487i | ||||
\(579\) | −3739.81 | + | 4117.94i | −0.268430 | + | 0.295572i | ||||
\(580\) | −7503.17 | + | 25280.7i | −0.537159 | + | 1.80987i | ||||
\(581\) | −14820.4 | + | 8346.69i | −1.05827 | + | 0.596005i | ||||
\(582\) | 3290.86 | + | 8942.34i | 0.234383 | + | 0.636893i | ||||
\(583\) | −8990.12 | − | 1750.83i | −0.638650 | − | 0.124377i | ||||
\(584\) | 965.054 | − | 61.9585i | 0.0683805 | − | 0.00439018i | ||||
\(585\) | −15770.1 | + | 19775.1i | −1.11455 | + | 1.39761i | ||||
\(586\) | −17846.1 | + | 11616.5i | −1.25804 | + | 0.818896i | ||||
\(587\) | −21223.8 | − | 2736.51i | −1.49233 | − | 0.192415i | −0.661926 | − | 0.749570i | \(-0.730261\pi\) |
−0.830409 | + | 0.557154i | \(0.811893\pi\) | |||||||
\(588\) | 1692.10 | − | 2425.75i | 0.118675 | − | 0.170130i | ||||
\(589\) | −15563.9 | − | 999.238i | −1.08880 | − | 0.0699031i | ||||
\(590\) | −14883.7 | −1.03856 | ||||||||
\(591\) | −724.593 | − | 4640.54i | −0.0504328 | − | 0.322989i | ||||
\(592\) | −9384.65 | −0.651531 | ||||||||
\(593\) | 2527.09 | + | 162.245i | 0.175000 | + | 0.0112354i | 0.151324 | − | 0.988484i | \(-0.451646\pi\) |
0.0236767 | + | 0.999720i | \(0.492463\pi\) | |||||||
\(594\) | −10966.7 | + | 15721.5i | −0.757522 | + | 1.08596i | ||||
\(595\) | 35490.7 | + | 4576.02i | 2.44534 | + | 0.315292i | ||||
\(596\) | 9801.20 | − | 6379.88i | 0.673612 | − | 0.438473i | ||||
\(597\) | −5458.65 | + | 6844.93i | −0.374217 | + | 0.469253i | ||||
\(598\) | 14004.0 | − | 899.084i | 0.957633 | − | 0.0614821i | ||||
\(599\) | −19729.3 | − | 3842.28i | −1.34577 | − | 0.262089i | −0.533713 | − | 0.845666i | \(-0.679204\pi\) |
−0.812058 | + | 0.583577i | \(0.801653\pi\) | |||||||
\(600\) | 23.8916 | + | 64.9211i | 0.00162562 | + | 0.00441732i | ||||
\(601\) | −13668.6 | + | 7698.01i | −0.927709 | + | 0.522476i | −0.879256 | − | 0.476349i | \(-0.841960\pi\) |
−0.0484533 | + | 0.998825i | \(0.515429\pi\) | |||||||
\(602\) | −9478.93 | + | 31937.7i | −0.641748 | + | 2.16226i | ||||
\(603\) | −4521.15 | + | 4978.29i | −0.305333 | + | 0.336205i | ||||
\(604\) | −620.652 | + | 19354.2i | −0.0418112 | + | 1.30383i | ||||
\(605\) | −21927.0 | −1.47349 | ||||||||
\(606\) | −361.206 | + | 11263.7i | −0.0242129 | + | 0.755047i | ||||
\(607\) | 26037.2 | + | 6827.75i | 1.74105 | + | 0.456557i | 0.981112 | − | 0.193441i | \(-0.0619647\pi\) |
0.759937 | + | 0.649997i | \(0.225230\pi\) | |||||||
\(608\) | −16414.4 | − | 15896.5i | −1.09489 | − | 1.06034i | ||||
\(609\) | 2789.90 | + | 9400.09i | 0.185636 | + | 0.625469i | ||||
\(610\) | 16693.2 | + | 8039.02i | 1.10801 | + | 0.533591i | ||||
\(611\) | 19482.0 | − | 9382.02i | 1.28994 | − | 0.621205i | ||||
\(612\) | −11916.8 | + | 19658.0i | −0.787105 | + | 1.29841i | ||||
\(613\) | 826.521 | − | 2245.93i | 0.0544582 | − | 0.147981i | −0.908318 | − | 0.418280i | \(-0.862633\pi\) |
0.962776 | + | 0.270300i | \(0.0871228\pi\) | |||||||
\(614\) | −4157.76 | − | 25717.2i | −0.273279 | − | 1.69033i | ||||
\(615\) | 5046.00 | − | 4886.78i | 0.330853 | − | 0.320413i | ||||
\(616\) | −457.942 | + | 1034.50i | −0.0299530 | + | 0.0676643i | ||||
\(617\) | −1089.60 | + | 11294.8i | −0.0710948 | + | 0.736972i | 0.889113 | + | 0.457687i | \(0.151322\pi\) |
−0.960208 | + | 0.279285i | \(0.909903\pi\) | |||||||
\(618\) | 5708.30 | + | 1496.89i | 0.371556 | + | 0.0974334i | ||||
\(619\) | −3531.79 | − | 226.748i | −0.229329 | − | 0.0147234i | −0.0510185 | − | 0.998698i | \(-0.516247\pi\) |
−0.178310 | + | 0.983974i | \(0.557063\pi\) | |||||||
\(620\) | 12717.3 | − | 14003.2i | 0.823774 | − | 0.907067i | ||||
\(621\) | −362.713 | + | 3759.90i | −0.0234383 | + | 0.242962i | ||||
\(622\) | 354.277 | − | 143.431i | 0.0228380 | − | 0.00924607i | ||||
\(623\) | −2754.46 | − | 914.542i | −0.177135 | − | 0.0588128i | ||||
\(624\) | −5277.34 | − | 6617.58i | −0.338562 | − | 0.424543i | ||||
\(625\) | 12958.5 | + | 14268.7i | 0.829343 | + | 0.913199i | ||||
\(626\) | 25922.6 | − | 19346.5i | 1.65507 | − | 1.23521i | ||||
\(627\) | 1838.49 | + | 8054.96i | 0.117101 | + | 0.513053i | ||||
\(628\) | 13695.0 | − | 3591.26i | 0.870209 | − | 0.228196i | ||||
\(629\) | 15247.4 | + | 8587.19i | 0.966542 | + | 0.544346i | ||||
\(630\) | −24007.5 | − | 17917.3i | −1.51822 | − | 1.13308i | ||||
\(631\) | 147.474 | − | 59.7056i | 0.00930403 | − | 0.00376678i | −0.370610 | − | 0.928788i | \(-0.620851\pi\) |
0.379914 | + | 0.925022i | \(0.375953\pi\) | |||||||
\(632\) | 488.489 | + | 473.075i | 0.0307453 | + | 0.0297752i | ||||
\(633\) | −1334.56 | + | 1913.20i | −0.0837981 | + | 0.120131i | ||||
\(634\) | 7283.50 | − | 24540.5i | 0.456254 | − | 1.53727i | ||||
\(635\) | −864.655 | + | 1953.27i | −0.0540359 | + | 0.122068i | ||||
\(636\) | −1868.94 | − | 1394.83i | −0.116522 | − | 0.0869630i | ||||
\(637\) | 1629.61 | + | 16892.6i | 0.101362 | + | 1.05072i | ||||
\(638\) | −25023.9 | − | 47966.1i | −1.55283 | − | 2.97649i | ||||
\(639\) | 3484.95 | − | 2966.78i | 0.215747 | − | 0.183669i | ||||
\(640\) | 1455.86 | − | 187.712i | 0.0899186 | − | 0.0115937i | ||||
\(641\) | −3881.50 | + | 7440.12i | −0.239173 | + | 0.458451i | −0.976041 | − | 0.217586i | \(-0.930182\pi\) |
0.736868 | + | 0.676037i | \(0.236304\pi\) | |||||||
\(642\) | 6573.57 | − | 1280.20i | 0.404109 | − | 0.0787003i | ||||
\(643\) | 547.820 | − | 3388.46i | 0.0335986 | − | 0.207819i | −0.964899 | − | 0.262623i | \(-0.915412\pi\) |
0.998497 | + | 0.0548036i | \(0.0174533\pi\) | |||||||
\(644\) | 808.650 | + | 8382.51i | 0.0494803 | + | 0.512915i | ||||
\(645\) | −7413.93 | − | 2461.59i | −0.452594 | − | 0.150272i | ||||
\(646\) | 11793.3 | + | 39735.4i | 0.718265 | + | 2.42007i | ||||
\(647\) | −3536.63 | − | 455.997i | −0.214898 | − | 0.0277081i | 0.0196754 | − | 0.999806i | \(-0.493737\pi\) |
−0.234574 | + | 0.972098i | \(0.575369\pi\) | |||||||
\(648\) | 384.421 | − | 216.502i | 0.0233048 | − | 0.0131250i | ||||
\(649\) | 11114.5 | − | 10763.8i | 0.672240 | − | 0.651028i | ||||
\(650\) | −13065.0 | − | 7358.09i | −0.788389 | − | 0.444012i | ||||
\(651\) | 1122.56 | − | 6943.41i | 0.0675829 | − | 0.418024i | ||||
\(652\) | −12307.9 | − | 17644.3i | −0.739286 | − | 1.05982i | ||||
\(653\) | −8470.04 | + | 2812.25i | −0.507593 | + | 0.168533i | −0.557429 | − | 0.830225i | \(-0.688212\pi\) |
0.0498355 | + | 0.998757i | \(0.484130\pi\) | |||||||
\(654\) | 1548.06 | + | 3497.10i | 0.0925597 | + | 0.209094i | ||||
\(655\) | 25308.4 | + | 10246.2i | 1.50974 | + | 0.611227i | ||||
\(656\) | −10184.3 | − | 16800.1i | −0.606144 | − | 0.999897i | ||||
\(657\) | −15229.1 | − | 21832.1i | −0.904331 | − | 1.29643i | ||||
\(658\) | 11845.6 | + | 22705.7i | 0.701805 | + | 1.34523i | ||||
\(659\) | 11720.7 | + | 14697.3i | 0.692831 | + | 0.868782i | 0.996465 | − | 0.0840065i | \(-0.0267716\pi\) |
−0.303635 | + | 0.952789i | \(0.598200\pi\) | |||||||
\(660\) | −9028.58 | − | 4347.94i | −0.532481 | − | 0.256429i | ||||
\(661\) | 22772.4 | − | 14823.2i | 1.34000 | − | 0.872246i | 0.342274 | − | 0.939600i | \(-0.388803\pi\) |
0.997729 | + | 0.0673544i | \(0.0214558\pi\) | |||||||
\(662\) | −4256.52 | − | 11566.3i | −0.249901 | − | 0.679062i | ||||
\(663\) | 2518.95 | + | 15580.6i | 0.147554 | + | 0.912671i | ||||
\(664\) | 611.893 | − | 160.457i | 0.0357621 | − | 0.00937793i | ||||
\(665\) | −26864.1 | + | 5231.78i | −1.56653 | + | 0.305082i | ||||
\(666\) | −7594.05 | − | 12527.2i | −0.441837 | − | 0.728856i | ||||
\(667\) | −8935.00 | − | 5816.04i | −0.518688 | − | 0.337628i | ||||
\(668\) | −4971.49 | + | 21781.5i | −0.287953 | + | 1.26160i | ||||
\(669\) | 2662.15 | + | 2266.32i | 0.153849 | + | 0.130973i | ||||
\(670\) | −12325.4 | − | 8022.97i | −0.710706 | − | 0.462619i | ||||
\(671\) | −18279.6 | + | 6069.23i | −1.05168 | + | 0.349180i | ||||
\(672\) | 7846.78 | − | 6680.06i | 0.450441 | − | 0.383466i | ||||
\(673\) | 22881.1 | + | 25194.6i | 1.31055 | + | 1.44306i | 0.820816 | + | 0.571192i | \(0.193519\pi\) |
0.489735 | + | 0.871871i | \(0.337093\pi\) | |||||||
\(674\) | −1204.93 | + | 580.263i | −0.0688606 | + | 0.0331615i | ||||
\(675\) | 2516.55 | − | 3155.66i | 0.143500 | − | 0.179943i | ||||
\(676\) | −34025.0 | − | 6626.37i | −1.93588 | − | 0.377012i | ||||
\(677\) | 7619.36 | − | 20704.3i | 0.432549 | − | 1.17538i | −0.515398 | − | 0.856951i | \(-0.672356\pi\) |
0.947948 | − | 0.318426i | \(-0.103154\pi\) | |||||||
\(678\) | 1760.70 | + | 7714.14i | 0.0997336 | + | 0.436962i | ||||
\(679\) | 15177.1 | − | 29091.6i | 0.857795 | − | 1.64423i | ||||
\(680\) | −1233.59 | − | 499.423i | −0.0695674 | − | 0.0281647i | ||||
\(681\) | −2523.86 | − | 2148.59i | −0.142018 | − | 0.120902i | ||||
\(682\) | 1243.85 | + | 38787.9i | 0.0698381 | + | 2.17781i | ||||
\(683\) | −273.167 | − | 8518.37i | −0.0153037 | − | 0.477227i | −0.978237 | − | 0.207489i | \(-0.933471\pi\) |
0.962934 | − | 0.269738i | \(-0.0869372\pi\) | |||||||
\(684\) | 3912.30 | − | 17140.9i | 0.218699 | − | 0.958185i | ||||
\(685\) | −8779.54 | − | 19833.1i | −0.489707 | − | 1.10626i | ||||
\(686\) | 12335.8 | − | 1590.53i | 0.686565 | − | 0.0885228i | ||||
\(687\) | −3082.73 | + | 2300.70i | −0.171198 | + | 0.127769i | ||||
\(688\) | −11326.0 | + | 18683.4i | −0.627616 | + | 1.03532i | ||||
\(689\) | 13354.0 | − | 857.358i | 0.738387 | − | 0.0474060i | ||||
\(690\) | −3889.17 | + | 249.693i | −0.214577 | + | 0.0137763i | ||||
\(691\) | −6465.73 | + | 10665.9i | −0.355960 | + | 0.587193i | −0.981143 | − | 0.193286i | \(-0.938086\pi\) |
0.625183 | + | 0.780478i | \(0.285024\pi\) | |||||||
\(692\) | −14666.7 | + | 10946.0i | −0.805700 | + | 0.601309i | ||||
\(693\) | 30885.5 | − | 3982.24i | 1.69299 | − | 0.218287i | ||||
\(694\) | 18340.4 | + | 41431.4i | 1.00316 | + | 2.26616i | ||||
\(695\) | 162.266 | − | 710.932i | 0.00885624 | − | 0.0388017i | ||||
\(696\) | −11.6882 | − | 364.480i | −0.000636550 | − | 0.0198500i | ||||
\(697\) | 1174.15 | + | 36614.3i | 0.0638079 | + | 1.98977i | ||||
\(698\) | 7516.78 | + | 6399.13i | 0.407614 | + | 0.347006i | ||||
\(699\) | 3986.70 | + | 1614.03i | 0.215723 | + | 0.0873368i | ||||
\(700\) | 4162.20 | − | 7978.15i | 0.224737 | − | 0.430780i | ||||
\(701\) | −1537.87 | − | 6737.86i | −0.0828596 | − | 0.363032i | 0.916451 | − | 0.400146i | \(-0.131041\pi\) |
−0.999311 | + | 0.0371142i | \(0.988183\pi\) | |||||||
\(702\) | 9672.20 | − | 26282.5i | 0.520020 | − | 1.41306i | ||||
\(703\) | −13137.0 | − | 2558.43i | −0.704796 | − | 0.137259i | ||||
\(704\) | −18439.0 | + | 23121.8i | −0.987141 | + | 1.23784i | ||||
\(705\) | −5410.52 | + | 2605.57i | −0.289038 | + | 0.139194i | ||||
\(706\) | −5303.02 | − | 5839.22i | −0.282694 | − | 0.311277i | ||||
\(707\) | 29549.7 | − | 25156.1i | 1.57190 | − | 1.33818i | ||||
\(708\) | 3738.84 | − | 1241.38i | 0.198466 | − | 0.0658954i | ||||
\(709\) | −13223.5 | − | 8607.54i | −0.700449 | − | 0.455942i | 0.145394 | − | 0.989374i | \(-0.453555\pi\) |
−0.845843 | + | 0.533432i | \(0.820902\pi\) | |||||||
\(710\) | 7621.22 | + | 6488.04i | 0.402844 | + | 0.342946i | ||||
\(711\) | 4165.20 | − | 18248.9i | 0.219701 | − | 0.962572i | ||||
\(712\) | 90.4622 | + | 58.8844i | 0.00476154 | + | 0.00309942i | ||||
\(713\) | 3964.38 | + | 6539.67i | 0.208229 | + | 0.343496i | ||||
\(714\) | −18348.0 | + | 3573.27i | −0.961703 | + | 0.187292i | ||||
\(715\) | 55620.7 | − | 14585.5i | 2.90922 | − | 0.762888i | ||||
\(716\) | −4054.40 | − | 25077.9i | −0.211620 | − | 1.30895i | ||||
\(717\) | 1353.78 | + | 3678.66i | 0.0705130 | + | 0.191607i | ||||
\(718\) | −32457.4 | + | 21127.4i | −1.68705 | + | 1.09815i | ||||
\(719\) | 7138.85 | + | 3437.89i | 0.370284 | + | 0.178319i | 0.609766 | − | 0.792581i | \(-0.291263\pi\) |
−0.239482 | + | 0.970901i | \(0.576978\pi\) | |||||||
\(720\) | −12249.0 | − | 15359.8i | −0.634021 | − | 0.795037i | ||||
\(721\) | −9399.49 | − | 18017.1i | −0.485514 | − | 0.930639i | ||||
\(722\) | −2333.57 | − | 3345.35i | −0.120286 | − | 0.172439i | ||||
\(723\) | 610.401 | + | 1006.92i | 0.0313984 | + | 0.0517950i | ||||
\(724\) | −4598.66 | − | 1861.79i | −0.236061 | − | 0.0955704i | ||||
\(725\) | 4611.23 | + | 10416.9i | 0.236216 | + | 0.533617i | ||||
\(726\) | 10870.5 | − | 3609.24i | 0.555703 | − | 0.184506i | ||||
\(727\) | −3248.97 | − | 4657.65i | −0.165747 | − | 0.237610i | 0.728649 | − | 0.684888i | \(-0.240149\pi\) |
−0.894395 | + | 0.447277i | \(0.852394\pi\) | |||||||
\(728\) | 263.802 | − | 1631.71i | 0.0134301 | − | 0.0830702i | ||||
\(729\) | −7111.99 | − | 4005.40i | −0.361327 | − | 0.203495i | ||||
\(730\) | 41817.1 | − | 40497.6i | 2.12017 | − | 2.05327i | ||||
\(731\) | 35497.4 | − | 19991.8i | 1.79606 | − | 1.01152i | ||||
\(732\) | −4863.88 | − | 627.128i | −0.245593 | − | 0.0316657i | ||||
\(733\) | −8988.32 | − | 30284.6i | −0.452921 | − | 1.52604i | −0.806843 | − | 0.590766i | \(-0.798826\pi\) |
0.353922 | − | 0.935275i | \(-0.384848\pi\) | |||||||
\(734\) | 33022.3 | + | 10964.2i | 1.66059 | + | 0.551355i | ||||
\(735\) | −452.574 | − | 4691.41i | −0.0227122 | − | 0.235435i | ||||
\(736\) | −1788.24 | + | 11060.9i | −0.0895590 | + | 0.553954i | ||||
\(737\) | 15006.3 | − | 2922.48i | 0.750019 | − | 0.146066i | ||||
\(738\) | 14184.6 | − | 27189.2i | 0.707510 | − | 1.35616i | ||||
\(739\) | −12656.1 | + | 1631.82i | −0.629988 | + | 0.0812279i | −0.436250 | − | 0.899825i | \(-0.643694\pi\) |
−0.193738 | + | 0.981053i | \(0.562061\pi\) | |||||||
\(740\) | 12360.6 | − | 10522.7i | 0.614031 | − | 0.522732i | ||||
\(741\) | −5583.36 | − | 10702.2i | −0.276801 | − | 0.530576i | ||||
\(742\) | 1521.83 | + | 15775.4i | 0.0752939 | + | 0.780501i | ||||
\(743\) | 27028.1 | + | 20171.6i | 1.33454 | + | 0.995993i | 0.998534 | + | 0.0541337i | \(0.0172397\pi\) |
0.336007 | + | 0.941860i | \(0.390924\pi\) | |||||||
\(744\) | −105.884 | + | 239.195i | −0.00521762 | + | 0.0117867i | ||||
\(745\) | 5302.59 | − | 17866.2i | 0.260767 | − | 0.878612i | ||||
\(746\) | −15348.5 | + | 22003.2i | −0.753281 | + | 1.07988i | ||||
\(747\) | −12508.3 | − | 12113.6i | −0.612657 | − | 0.593325i | ||||
\(748\) | 48441.0 | − | 19611.6i | 2.36789 | − | 0.958651i | ||||
\(749\) | −18482.1 | − | 13793.5i | −0.901628 | − | 0.672903i | ||||
\(750\) | −6128.11 | − | 3451.29i | −0.298356 | − | 0.168031i | ||||
\(751\) | 3200.59 | − | 839.295i | 0.155514 | − | 0.0407807i | −0.175076 | − | 0.984555i | \(-0.556017\pi\) |
0.330591 | + | 0.943774i | \(0.392752\pi\) | |||||||
\(752\) | 3737.33 | + | 16374.3i | 0.181232 | + | 0.794029i | ||||
\(753\) | −5572.39 | + | 4158.78i | −0.269680 | + | 0.201267i | ||||
\(754\) | 53140.8 | + | 58513.9i | 2.56668 | + | 2.82620i | ||||
\(755\) | 19239.9 | + | 24126.0i | 0.927431 | + | 1.16296i | ||||
\(756\) | 15950.7 | + | 5296.00i | 0.767357 | + | 0.254780i | ||||
\(757\) | −9518.66 | + | 3853.68i | −0.457017 | + | 0.185026i | −0.592193 | − | 0.805796i | \(-0.701738\pi\) |
0.135176 | + | 0.990822i | \(0.456840\pi\) | |||||||
\(758\) | 1698.98 | − | 17611.7i | 0.0814113 | − | 0.843913i | ||||
\(759\) | 2723.69 | − | 2999.09i | 0.130255 | − | 0.143426i | ||||
\(760\) | 1015.77 | + | 65.2146i | 0.0484814 | + | 0.00311261i | ||||
\(761\) | 35130.0 | + | 9212.18i | 1.67341 | + | 0.438819i | 0.963983 | − | 0.265963i | \(-0.0856898\pi\) |
0.709424 | + | 0.704782i | \(0.248955\pi\) | |||||||
\(762\) | 107.145 | − | 1110.67i | 0.00509378 | − | 0.0528023i | ||||
\(763\) | 5330.86 | − | 12042.5i | 0.252936 | − | 0.571386i | ||||
\(764\) | 5589.20 | − | 5412.84i | 0.264673 | − | 0.256321i | ||||
\(765\) | 5846.65 | + | 36163.6i | 0.276322 | + | 1.70915i |