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 | 6.11 | ||
Character | \(\chi\) | \(=\) | 197.6 |
Dual form | 197.4.e.a.33.11 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −3.42780 | + | 0.782374i | −1.21191 | + | 0.276611i | −0.780275 | − | 0.625437i | \(-0.784921\pi\) |
−0.431637 | + | 0.902048i | \(0.642064\pi\) | |||||||
\(3\) | 1.54660 | + | 0.353002i | 0.297644 | + | 0.0679352i | 0.368735 | − | 0.929535i | \(-0.379791\pi\) |
−0.0710913 | + | 0.997470i | \(0.522648\pi\) | |||||||
\(4\) | 3.92998 | − | 1.89258i | 0.491247 | − | 0.236572i | ||||
\(5\) | 5.76545 | − | 11.9721i | 0.515678 | − | 1.07082i | −0.466787 | − | 0.884370i | \(-0.654589\pi\) |
0.982465 | − | 0.186447i | \(-0.0596971\pi\) | |||||||
\(6\) | −5.57762 | −0.379509 | ||||||||
\(7\) | −3.44993 | + | 15.1151i | −0.186279 | + | 0.816141i | 0.792277 | + | 0.610161i | \(0.208895\pi\) |
−0.978556 | + | 0.205980i | \(0.933962\pi\) | |||||||
\(8\) | 10.0006 | − | 7.97521i | 0.441968 | − | 0.352458i | ||||
\(9\) | −22.0588 | − | 10.6230i | −0.816992 | − | 0.393443i | ||||
\(10\) | −10.3962 | + | 45.5487i | −0.328757 | + | 1.44038i | ||||
\(11\) | 58.9898 | − | 13.4640i | 1.61692 | − | 0.369051i | 0.684097 | − | 0.729391i | \(-0.260197\pi\) |
0.932821 | + | 0.360340i | \(0.117339\pi\) | |||||||
\(12\) | 6.74619 | − | 1.53977i | 0.162288 | − | 0.0370412i | ||||
\(13\) | −41.9671 | − | 33.4676i | −0.895352 | − | 0.714020i | 0.0634829 | − | 0.997983i | \(-0.479779\pi\) |
−0.958835 | + | 0.283963i | \(0.908351\pi\) | |||||||
\(14\) | − | 54.5109i | − | 1.04062i | ||||||
\(15\) | 13.1430 | − | 16.4808i | 0.226234 | − | 0.283689i | ||||
\(16\) | −49.7975 | + | 62.4441i | −0.778086 | + | 0.975689i | ||||
\(17\) | −44.1898 | + | 91.7610i | −0.630447 | + | 1.30914i | 0.303877 | + | 0.952711i | \(0.401719\pi\) |
−0.934324 | + | 0.356425i | \(0.883995\pi\) | |||||||
\(18\) | 83.9243 | + | 19.1552i | 1.09895 | + | 0.250829i | ||||
\(19\) | −22.8168 | −0.275501 | −0.137751 | − | 0.990467i | \(-0.543987\pi\) | ||||
−0.137751 | + | 0.990467i | \(0.543987\pi\) | |||||||
\(20\) | − | 57.9616i | − | 0.648031i | ||||||
\(21\) | −10.6713 | + | 22.1593i | −0.110889 | + | 0.230264i | ||||
\(22\) | −191.672 | + | 92.3041i | −1.85748 | + | 0.894514i | ||||
\(23\) | −13.1510 | − | 57.6181i | −0.119225 | − | 0.522357i | −0.998905 | − | 0.0467912i | \(-0.985100\pi\) |
0.879680 | − | 0.475566i | \(-0.157757\pi\) | |||||||
\(24\) | 18.2822 | − | 8.80424i | 0.155493 | − | 0.0748816i | ||||
\(25\) | −32.1543 | − | 40.3202i | −0.257234 | − | 0.322561i | ||||
\(26\) | 170.039 | + | 81.8866i | 1.28259 | + | 0.617664i | ||||
\(27\) | −63.8537 | − | 50.9217i | −0.455135 | − | 0.362958i | ||||
\(28\) | 15.0484 | + | 65.9314i | 0.101567 | + | 0.444995i | ||||
\(29\) | −46.2955 | − | 202.834i | −0.296443 | − | 1.29880i | −0.875382 | − | 0.483432i | \(-0.839390\pi\) |
0.578939 | − | 0.815371i | \(-0.303467\pi\) | |||||||
\(30\) | −32.1575 | + | 66.7758i | −0.195705 | + | 0.406385i | ||||
\(31\) | 136.112 | − | 31.0667i | 0.788595 | − | 0.179992i | 0.190788 | − | 0.981631i | \(-0.438896\pi\) |
0.597808 | + | 0.801640i | \(0.296039\pi\) | |||||||
\(32\) | 77.4422 | − | 160.810i | 0.427812 | − | 0.888360i | ||||
\(33\) | 95.9865 | 0.506337 | ||||||||
\(34\) | 79.6825 | − | 349.112i | 0.401924 | − | 1.76095i | ||||
\(35\) | 161.069 | + | 128.449i | 0.777877 | + | 0.620336i | ||||
\(36\) | −106.795 | −0.494423 | ||||||||
\(37\) | −270.648 | − | 339.382i | −1.20255 | − | 1.50795i | −0.808117 | − | 0.589022i | \(-0.799513\pi\) |
−0.394431 | − | 0.918926i | \(-0.629058\pi\) | |||||||
\(38\) | 78.2114 | − | 17.8512i | 0.333883 | − | 0.0762067i | ||||
\(39\) | −53.0922 | − | 66.5755i | −0.217989 | − | 0.273349i | ||||
\(40\) | −37.8219 | − | 165.709i | −0.149504 | − | 0.655021i | ||||
\(41\) | −270.871 | − | 130.445i | −1.03178 | − | 0.496879i | −0.160175 | − | 0.987089i | \(-0.551206\pi\) |
−0.871605 | + | 0.490210i | \(0.836920\pi\) | |||||||
\(42\) | 19.2424 | − | 84.3066i | 0.0706945 | − | 0.309733i | ||||
\(43\) | −39.7464 | − | 174.140i | −0.140960 | − | 0.617585i | −0.995213 | − | 0.0977282i | \(-0.968842\pi\) |
0.854253 | − | 0.519857i | \(-0.174015\pi\) | |||||||
\(44\) | 206.347 | − | 164.556i | 0.706999 | − | 0.563813i | ||||
\(45\) | −254.358 | + | 202.844i | −0.842610 | + | 0.671959i | ||||
\(46\) | 90.1578 | + | 187.215i | 0.288979 | + | 0.600072i | ||||
\(47\) | −257.981 | − | 323.498i | −0.800647 | − | 1.00398i | −0.999712 | − | 0.0239928i | \(-0.992362\pi\) |
0.199066 | − | 0.979986i | \(-0.436209\pi\) | |||||||
\(48\) | −99.0597 | + | 78.9975i | −0.297876 | + | 0.237548i | ||||
\(49\) | 92.4669 | + | 44.5297i | 0.269583 | + | 0.129824i | ||||
\(50\) | 141.764 | + | 113.053i | 0.400969 | + | 0.319762i | ||||
\(51\) | −100.736 | + | 126.319i | −0.276585 | + | 0.346826i | ||||
\(52\) | −228.270 | − | 52.1011i | −0.608756 | − | 0.138945i | ||||
\(53\) | 192.289 | − | 92.6013i | 0.498356 | − | 0.239996i | −0.167782 | − | 0.985824i | \(-0.553660\pi\) |
0.666138 | + | 0.745829i | \(0.267946\pi\) | |||||||
\(54\) | 258.718 | + | 124.592i | 0.651982 | + | 0.313978i | ||||
\(55\) | 178.910 | − | 783.857i | 0.438623 | − | 1.92173i | ||||
\(56\) | 86.0450 | + | 178.674i | 0.205326 | + | 0.426363i | ||||
\(57\) | −35.2885 | − | 8.05436i | −0.0820012 | − | 0.0187162i | ||||
\(58\) | 317.384 | + | 659.054i | 0.718526 | + | 1.49203i | ||||
\(59\) | 74.4004 | + | 325.969i | 0.164171 | + | 0.719282i | 0.988255 | + | 0.152814i | \(0.0488334\pi\) |
−0.824084 | + | 0.566468i | \(0.808309\pi\) | |||||||
\(60\) | 20.4605 | − | 89.6435i | 0.0440241 | − | 0.192882i | ||||
\(61\) | −74.2116 | − | 325.142i | −0.155768 | − | 0.682462i | −0.991145 | − | 0.132785i | \(-0.957608\pi\) |
0.835377 | − | 0.549677i | \(-0.185249\pi\) | |||||||
\(62\) | −442.260 | + | 212.981i | −0.905920 | + | 0.436268i | ||||
\(63\) | 236.669 | − | 296.773i | 0.473293 | − | 0.593491i | ||||
\(64\) | 2.53744 | − | 11.1172i | 0.00495594 | − | 0.0217134i | ||||
\(65\) | −642.637 | + | 309.478i | −1.22630 | + | 0.590554i | ||||
\(66\) | −329.023 | + | 75.0973i | −0.613635 | + | 0.140058i | ||||
\(67\) | 85.2377 | − | 67.9748i | 0.155425 | − | 0.123947i | −0.542690 | − | 0.839933i | \(-0.682594\pi\) |
0.698114 | + | 0.715986i | \(0.254023\pi\) | |||||||
\(68\) | 444.251i | 0.792256i | ||||||||
\(69\) | − | 93.7546i | − | 0.163576i | ||||||
\(70\) | −652.609 | − | 314.280i | −1.11431 | − | 0.536623i | ||||
\(71\) | 93.3568 | − | 193.857i | 0.156048 | − | 0.324037i | −0.808257 | − | 0.588829i | \(-0.799589\pi\) |
0.964306 | + | 0.264792i | \(0.0853033\pi\) | |||||||
\(72\) | −305.321 | + | 69.6876i | −0.499756 | + | 0.114066i | ||||
\(73\) | −432.243 | + | 344.703i | −0.693017 | + | 0.552663i | −0.905419 | − | 0.424520i | \(-0.860443\pi\) |
0.212401 | + | 0.977183i | \(0.431872\pi\) | |||||||
\(74\) | 1193.25 | + | 951.587i | 1.87450 | + | 1.49486i | ||||
\(75\) | −35.4967 | − | 73.7097i | −0.0546508 | − | 0.113484i | ||||
\(76\) | −89.6694 | + | 43.1825i | −0.135339 | + | 0.0651760i | ||||
\(77\) | 938.089i | 1.38838i | ||||||||
\(78\) | 234.077 | + | 186.670i | 0.339794 | + | 0.270977i | ||||
\(79\) | −82.4562 | − | 171.222i | −0.117431 | − | 0.243848i | 0.833966 | − | 0.551817i | \(-0.186065\pi\) |
−0.951397 | + | 0.307969i | \(0.900351\pi\) | |||||||
\(80\) | 460.481 | + | 956.199i | 0.643542 | + | 1.33633i | ||||
\(81\) | 331.378 | + | 415.535i | 0.454566 | + | 0.570007i | ||||
\(82\) | 1030.55 | + | 235.216i | 1.38787 | + | 0.316772i | ||||
\(83\) | −225.386 | −0.298064 | −0.149032 | − | 0.988832i | \(-0.547616\pi\) | ||||
−0.149032 | + | 0.988832i | \(0.547616\pi\) | |||||||
\(84\) | 107.282i | 0.139350i | ||||||||
\(85\) | 843.797 | + | 1058.09i | 1.07674 | + | 1.35019i | ||||
\(86\) | 272.486 | + | 565.822i | 0.341662 | + | 0.709467i | ||||
\(87\) | − | 330.045i | − | 0.406719i | ||||||
\(88\) | 482.554 | − | 605.104i | 0.584551 | − | 0.733004i | ||||
\(89\) | −719.599 | − | 164.244i | −0.857049 | − | 0.195616i | −0.228652 | − | 0.973508i | \(-0.573432\pi\) |
−0.628397 | + | 0.777892i | \(0.716289\pi\) | |||||||
\(90\) | 713.190 | − | 894.311i | 0.835298 | − | 1.04743i | ||||
\(91\) | 650.652 | − | 518.878i | 0.749526 | − | 0.597727i | ||||
\(92\) | −160.730 | − | 201.549i | −0.182144 | − | 0.228401i | ||||
\(93\) | 221.478 | 0.246948 | ||||||||
\(94\) | 1137.40 | + | 907.050i | 1.24802 | + | 0.995266i | ||||
\(95\) | −131.549 | + | 273.165i | −0.142070 | + | 0.295011i | ||||
\(96\) | 176.538 | − | 221.372i | 0.187686 | − | 0.235351i | ||||
\(97\) | 86.9221 | + | 41.8595i | 0.0909856 | + | 0.0438164i | 0.478823 | − | 0.877911i | \(-0.341064\pi\) |
−0.387837 | + | 0.921728i | \(0.626778\pi\) | |||||||
\(98\) | −351.797 | − | 80.2954i | −0.362621 | − | 0.0827659i | ||||
\(99\) | −1444.27 | − | 329.646i | −1.46621 | − | 0.334653i | ||||
\(100\) | −202.675 | − | 97.6029i | −0.202675 | − | 0.0976029i | ||||
\(101\) | −1129.11 | + | 1415.86i | −1.11238 | + | 1.39488i | −0.202869 | + | 0.979206i | \(0.565027\pi\) |
−0.909512 | + | 0.415677i | \(0.863545\pi\) | |||||||
\(102\) | 246.474 | − | 511.809i | 0.239260 | − | 0.496829i | ||||
\(103\) | 674.396 | + | 537.813i | 0.645148 | + | 0.514488i | 0.890522 | − | 0.454940i | \(-0.150339\pi\) |
−0.245374 | + | 0.969428i | \(0.578911\pi\) | |||||||
\(104\) | −686.607 | −0.647379 | ||||||||
\(105\) | 203.768 | + | 255.516i | 0.189387 | + | 0.237484i | ||||
\(106\) | −586.679 | + | 467.861i | −0.537578 | + | 0.428704i | ||||
\(107\) | −285.525 | + | 358.037i | −0.257970 | + | 0.323484i | −0.893903 | − | 0.448260i | \(-0.852044\pi\) |
0.635933 | + | 0.771744i | \(0.280615\pi\) | |||||||
\(108\) | −347.317 | − | 79.2728i | −0.309450 | − | 0.0706299i | ||||
\(109\) | 363.460 | − | 455.765i | 0.319387 | − | 0.400498i | −0.596058 | − | 0.802941i | \(-0.703267\pi\) |
0.915445 | + | 0.402443i | \(0.131839\pi\) | |||||||
\(110\) | 2826.88i | 2.45030i | ||||||||
\(111\) | −298.782 | − | 620.428i | −0.255488 | − | 0.530526i | ||||
\(112\) | −772.053 | − | 968.124i | −0.651359 | − | 0.816778i | ||||
\(113\) | 269.589i | 0.224432i | 0.993684 | + | 0.112216i | \(0.0357948\pi\) | ||||
−0.993684 | + | 0.112216i | \(0.964205\pi\) | |||||||
\(114\) | 127.263 | 0.104555 | ||||||||
\(115\) | −765.631 | − | 174.750i | −0.620830 | − | 0.141700i | ||||
\(116\) | −565.819 | − | 709.514i | −0.452887 | − | 0.567903i | ||||
\(117\) | 570.218 | + | 1184.07i | 0.450570 | + | 0.935618i | ||||
\(118\) | −510.060 | − | 1059.15i | −0.397922 | − | 0.826294i | ||||
\(119\) | −1234.53 | − | 984.504i | −0.951001 | − | 0.758398i | ||||
\(120\) | − | 269.636i | − | 0.205119i | ||||||
\(121\) | 2099.33 | − | 1010.98i | 1.57726 | − | 0.759566i | ||||
\(122\) | 508.765 | + | 1056.46i | 0.377553 | + | 0.783997i | ||||
\(123\) | −372.883 | − | 297.364i | −0.273347 | − | 0.217987i | ||||
\(124\) | 476.121 | − | 379.694i | 0.344814 | − | 0.274980i | ||||
\(125\) | 951.257 | − | 217.118i | 0.680664 | − | 0.155357i | ||||
\(126\) | −579.067 | + | 1202.44i | −0.409423 | + | 0.850176i | ||||
\(127\) | −1381.52 | − | 665.305i | −0.965276 | − | 0.464853i | −0.116260 | − | 0.993219i | \(-0.537091\pi\) |
−0.849017 | + | 0.528366i | \(0.822805\pi\) | |||||||
\(128\) | 1467.98i | 1.01369i | ||||||||
\(129\) | − | 283.356i | − | 0.193396i | ||||||
\(130\) | 1960.71 | − | 1563.61i | 1.32281 | − | 1.05491i | ||||
\(131\) | 593.665 | − | 135.500i | 0.395945 | − | 0.0903718i | −0.0199125 | − | 0.999802i | \(-0.506339\pi\) |
0.415857 | + | 0.909430i | \(0.363482\pi\) | |||||||
\(132\) | 377.225 | − | 181.662i | 0.248736 | − | 0.119785i | ||||
\(133\) | 78.7163 | − | 344.879i | 0.0513201 | − | 0.224848i | ||||
\(134\) | −238.997 | + | 299.692i | −0.154076 | + | 0.193205i | ||||
\(135\) | −977.785 | + | 470.876i | −0.623365 | + | 0.300197i | ||||
\(136\) | 289.889 | + | 1270.09i | 0.182778 | + | 0.800802i | ||||
\(137\) | 541.163 | − | 2370.99i | 0.337480 | − | 1.47859i | −0.466810 | − | 0.884358i | \(-0.654597\pi\) |
0.804290 | − | 0.594237i | \(-0.202546\pi\) | |||||||
\(138\) | 73.3511 | + | 321.372i | 0.0452468 | + | 0.198239i | ||||
\(139\) | 940.567 | + | 1953.11i | 0.573941 | + | 1.19180i | 0.962727 | + | 0.270474i | \(0.0871803\pi\) |
−0.388786 | + | 0.921328i | \(0.627105\pi\) | |||||||
\(140\) | 876.098 | + | 199.964i | 0.528884 | + | 0.120714i | ||||
\(141\) | −284.798 | − | 591.390i | −0.170102 | − | 0.353220i | ||||
\(142\) | −168.340 | + | 737.545i | −0.0994843 | + | 0.435869i | ||||
\(143\) | −2926.24 | − | 1409.20i | −1.71122 | − | 0.824080i | ||||
\(144\) | 1761.81 | − | 848.445i | 1.01957 | − | 0.490998i | ||||
\(145\) | −2695.26 | − | 615.175i | −1.54365 | − | 0.352328i | ||||
\(146\) | 1211.96 | − | 1519.75i | 0.687003 | − | 0.861475i | ||||
\(147\) | 127.290 | + | 101.511i | 0.0714199 | + | 0.0569555i | ||||
\(148\) | −1705.95 | − | 821.541i | −0.947487 | − | 0.456286i | ||||
\(149\) | 1703.47 | − | 1358.47i | 0.936599 | − | 0.746913i | −0.0309696 | − | 0.999520i | \(-0.509860\pi\) |
0.967569 | + | 0.252607i | \(0.0812881\pi\) | |||||||
\(150\) | 179.344 | + | 224.891i | 0.0976227 | + | 0.122415i | ||||
\(151\) | −862.829 | − | 1791.68i | −0.465007 | − | 0.965597i | −0.993194 | − | 0.116469i | \(-0.962842\pi\) |
0.528188 | − | 0.849128i | \(-0.322872\pi\) | |||||||
\(152\) | −228.181 | + | 181.968i | −0.121763 | + | 0.0971026i | ||||
\(153\) | 1949.55 | − | 1554.71i | 1.03014 | − | 0.821510i | ||||
\(154\) | −733.936 | − | 3215.59i | −0.384041 | − | 1.68259i | ||||
\(155\) | 412.815 | − | 1808.66i | 0.213923 | − | 0.937258i | ||||
\(156\) | −334.651 | − | 161.159i | −0.171753 | − | 0.0827120i | ||||
\(157\) | 21.1710 | + | 92.7561i | 0.0107620 | + | 0.0471513i | 0.980024 | − | 0.198880i | \(-0.0637305\pi\) |
−0.969262 | + | 0.246031i | \(0.920873\pi\) | |||||||
\(158\) | 416.603 | + | 522.404i | 0.209767 | + | 0.263039i | ||||
\(159\) | 330.082 | − | 75.3391i | 0.164637 | − | 0.0375772i | ||||
\(160\) | −1478.75 | − | 1854.29i | −0.730657 | − | 0.916215i | ||||
\(161\) | 916.276 | 0.448526 | ||||||||
\(162\) | −1461.00 | − | 1165.11i | −0.708564 | − | 0.565061i | ||||
\(163\) | 492.183 | − | 2156.40i | 0.236508 | − | 1.03621i | −0.707611 | − | 0.706603i | \(-0.750227\pi\) |
0.944119 | − | 0.329606i | \(-0.106916\pi\) | |||||||
\(164\) | −1311.39 | −0.624407 | ||||||||
\(165\) | 553.406 | − | 1149.16i | 0.261107 | − | 0.542193i | ||||
\(166\) | 772.577 | − | 176.336i | 0.361227 | − | 0.0824476i | ||||
\(167\) | −1690.17 | + | 3509.67i | −0.783168 | + | 1.62626i | −0.00356204 | + | 0.999994i | \(0.501134\pi\) |
−0.779606 | + | 0.626271i | \(0.784580\pi\) | |||||||
\(168\) | 70.0050 | + | 306.712i | 0.0321488 | + | 0.140853i | ||||
\(169\) | 152.276 | + | 667.163i | 0.0693107 | + | 0.303670i | ||||
\(170\) | −3720.19 | − | 2966.75i | −1.67839 | − | 1.33847i | ||||
\(171\) | 503.311 | + | 242.382i | 0.225083 | + | 0.108394i | ||||
\(172\) | −485.777 | − | 609.145i | −0.215350 | − | 0.270040i | ||||
\(173\) | 2087.99 | − | 1005.53i | 0.917615 | − | 0.441900i | 0.0853957 | − | 0.996347i | \(-0.472785\pi\) |
0.832219 | + | 0.554447i | \(0.187070\pi\) | |||||||
\(174\) | 258.219 | + | 1131.33i | 0.112503 | + | 0.492908i | ||||
\(175\) | 720.375 | − | 346.914i | 0.311173 | − | 0.149853i | ||||
\(176\) | −2096.80 | + | 4354.04i | −0.898022 | + | 1.86476i | ||||
\(177\) | 530.408i | 0.225243i | ||||||||
\(178\) | 2595.15 | 1.09278 | ||||||||
\(179\) | 3129.73 | + | 714.340i | 1.30685 | + | 0.298281i | 0.818571 | − | 0.574405i | \(-0.194767\pi\) |
0.488282 | + | 0.872686i | \(0.337624\pi\) | |||||||
\(180\) | −615.724 | + | 1278.56i | −0.254963 | + | 0.529436i | ||||
\(181\) | −522.316 | + | 654.963i | −0.214494 | + | 0.268967i | −0.877425 | − | 0.479713i | \(-0.840741\pi\) |
0.662931 | + | 0.748680i | \(0.269312\pi\) | |||||||
\(182\) | −1824.35 | + | 2287.66i | −0.743021 | + | 0.931719i | ||||
\(183\) | − | 529.062i | − | 0.213713i | ||||||
\(184\) | −591.034 | − | 471.334i | −0.236802 | − | 0.188843i | ||||
\(185\) | −5623.52 | + | 1283.53i | −2.23486 | + | 0.510093i | ||||
\(186\) | −759.182 | + | 173.278i | −0.299279 | + | 0.0683085i | ||||
\(187\) | −1371.27 | + | 6007.94i | −0.536243 | + | 2.34943i | ||||
\(188\) | −1626.10 | − | 783.090i | −0.630829 | − | 0.303791i | ||||
\(189\) | 989.979 | − | 789.482i | 0.381007 | − | 0.303843i | ||||
\(190\) | 237.208 | − | 1039.27i | 0.0905729 | − | 0.396826i | ||||
\(191\) | 3638.78 | 1.37850 | 0.689249 | − | 0.724524i | \(-0.257941\pi\) | ||||
0.689249 | + | 0.724524i | \(0.257941\pi\) | |||||||
\(192\) | 7.84881 | − | 16.2982i | 0.00295020 | − | 0.00612616i | ||||
\(193\) | −3592.07 | + | 1729.85i | −1.33970 | + | 0.645167i | −0.960015 | − | 0.279947i | \(-0.909683\pi\) |
−0.379688 | + | 0.925115i | \(0.623969\pi\) | |||||||
\(194\) | −330.702 | − | 75.4805i | −0.122387 | − | 0.0279339i | ||||
\(195\) | −1103.15 | + | 251.787i | −0.405119 | + | 0.0924657i | ||||
\(196\) | 447.669 | 0.163145 | ||||||||
\(197\) | 1671.23 | + | 2202.81i | 0.604416 | + | 0.796669i | ||||
\(198\) | 5208.59 | 1.86949 | ||||||||
\(199\) | 3974.77 | − | 907.216i | 1.41590 | − | 0.323170i | 0.554960 | − | 0.831877i | \(-0.312733\pi\) |
0.860940 | + | 0.508707i | \(0.169876\pi\) | |||||||
\(200\) | −643.123 | − | 146.789i | −0.227378 | − | 0.0518976i | ||||
\(201\) | 155.824 | − | 75.0409i | 0.0546815 | − | 0.0263332i | ||||
\(202\) | 2762.63 | − | 5736.67i | 0.962269 | − | 1.99817i | ||||
\(203\) | 3225.58 | 1.11523 | ||||||||
\(204\) | −156.821 | + | 687.080i | −0.0538221 | + | 0.235810i | ||||
\(205\) | −3123.39 | + | 2490.82i | −1.06413 | + | 0.848617i | ||||
\(206\) | −2732.47 | − | 1315.89i | −0.924175 | − | 0.445059i | ||||
\(207\) | −321.981 | + | 1410.69i | −0.108112 | + | 0.473670i | ||||
\(208\) | 4179.71 | − | 953.992i | 1.39332 | − | 0.318017i | ||||
\(209\) | −1345.96 | + | 307.206i | −0.445463 | + | 0.101674i | ||||
\(210\) | −898.385 | − | 716.438i | −0.295212 | − | 0.235423i | ||||
\(211\) | − | 4390.47i | − | 1.43247i | −0.697857 | − | 0.716237i | \(-0.745863\pi\) | ||
0.697857 | − | 0.716237i | \(-0.254137\pi\) | |||||||
\(212\) | 580.435 | − | 727.842i | 0.188040 | − | 0.235794i | ||||
\(213\) | 212.818 | − | 266.865i | 0.0684603 | − | 0.0858465i | ||||
\(214\) | 698.606 | − | 1450.67i | 0.223157 | − | 0.463391i | ||||
\(215\) | −2313.98 | − | 528.151i | −0.734010 | − | 0.167533i | ||||
\(216\) | −1044.69 | −0.329083 | ||||||||
\(217\) | 2164.53i | 0.677133i | ||||||||
\(218\) | −889.292 | + | 1846.63i | −0.276286 | + | 0.573715i | ||||
\(219\) | −790.189 | + | 380.535i | −0.243817 | + | 0.117416i | ||||
\(220\) | −780.397 | − | 3419.14i | −0.239156 | − | 1.04781i | ||||
\(221\) | 4925.54 | − | 2372.02i | 1.49922 | − | 0.721987i | ||||
\(222\) | 1509.57 | + | 1892.95i | 0.456378 | + | 0.572280i | ||||
\(223\) | −3806.39 | − | 1833.06i | −1.14303 | − | 0.550452i | −0.236094 | − | 0.971730i | \(-0.575867\pi\) |
−0.906932 | + | 0.421278i | \(0.861582\pi\) | |||||||
\(224\) | 2163.50 | + | 1725.33i | 0.645335 | + | 0.514637i | ||||
\(225\) | 280.965 | + | 1230.99i | 0.0832488 | + | 0.364737i | ||||
\(226\) | −210.919 | − | 924.098i | −0.0620803 | − | 0.271992i | ||||
\(227\) | −2633.74 | + | 5469.03i | −0.770078 | + | 1.59908i | 0.0302653 | + | 0.999542i | \(0.490365\pi\) |
−0.800343 | + | 0.599542i | \(0.795349\pi\) | |||||||
\(228\) | −153.926 | + | 35.1327i | −0.0447106 | + | 0.0102049i | ||||
\(229\) | −225.133 | + | 467.494i | −0.0649661 | + | 0.134903i | −0.930923 | − | 0.365214i | \(-0.880996\pi\) |
0.865957 | + | 0.500118i | \(0.166710\pi\) | |||||||
\(230\) | 2761.15 | 0.791587 | ||||||||
\(231\) | −331.147 | + | 1450.85i | −0.0943198 | + | 0.413242i | ||||
\(232\) | −2080.62 | − | 1659.24i | −0.588791 | − | 0.469545i | ||||
\(233\) | 2487.49 | 0.699404 | 0.349702 | − | 0.936861i | \(-0.386283\pi\) | ||||
0.349702 | + | 0.936861i | \(0.386283\pi\) | |||||||
\(234\) | −2880.98 | − | 3612.64i | −0.804853 | − | 1.00925i | ||||
\(235\) | −5360.32 | + | 1223.46i | −1.48795 | + | 0.339616i | ||||
\(236\) | 909.314 | + | 1140.24i | 0.250811 | + | 0.314507i | ||||
\(237\) | −67.0852 | − | 293.919i | −0.0183867 | − | 0.0805575i | ||||
\(238\) | 5001.97 | + | 2408.82i | 1.36231 | + | 0.656054i | ||||
\(239\) | −1204.87 | + | 5278.87i | −0.326093 | + | 1.42871i | 0.500416 | + | 0.865785i | \(0.333181\pi\) |
−0.826509 | + | 0.562924i | \(0.809677\pi\) | |||||||
\(240\) | 374.641 | + | 1641.41i | 0.100762 | + | 0.441469i | ||||
\(241\) | 1478.88 | − | 1179.36i | 0.395281 | − | 0.315226i | −0.405599 | − | 0.914051i | \(-0.632937\pi\) |
0.800880 | + | 0.598825i | \(0.204366\pi\) | |||||||
\(242\) | −6405.11 | + | 5107.91i | −1.70139 | + | 1.35681i | ||||
\(243\) | 1322.60 | + | 2746.41i | 0.349156 | + | 0.725030i | ||||
\(244\) | −907.007 | − | 1137.35i | −0.237972 | − | 0.298407i | ||||
\(245\) | 1066.23 | − | 850.288i | 0.278036 | − | 0.221726i | ||||
\(246\) | 1510.82 | + | 727.572i | 0.391570 | + | 0.188570i | ||||
\(247\) | 957.554 | + | 763.624i | 0.246671 | + | 0.196713i | ||||
\(248\) | 1113.44 | − | 1396.21i | 0.285094 | − | 0.357497i | ||||
\(249\) | −348.582 | − | 79.5615i | −0.0887167 | − | 0.0202490i | ||||
\(250\) | −3090.85 | + | 1488.48i | −0.781931 | + | 0.376558i | ||||
\(251\) | 2571.12 | + | 1238.19i | 0.646566 | + | 0.311370i | 0.728273 | − | 0.685287i | \(-0.240323\pi\) |
−0.0817078 | + | 0.996656i | \(0.526037\pi\) | |||||||
\(252\) | 368.437 | − | 1614.23i | 0.0921005 | − | 0.403519i | ||||
\(253\) | −1551.55 | − | 3221.82i | −0.385553 | − | 0.800608i | ||||
\(254\) | 5256.10 | + | 1199.67i | 1.29841 | + | 0.296354i | ||||
\(255\) | 931.511 | + | 1934.30i | 0.228759 | + | 0.475022i | ||||
\(256\) | −1128.21 | − | 4943.01i | −0.275442 | − | 1.20679i | ||||
\(257\) | −83.4756 | + | 365.731i | −0.0202610 | + | 0.0887690i | −0.984048 | − | 0.177906i | \(-0.943068\pi\) |
0.963787 | + | 0.266675i | \(0.0859249\pi\) | |||||||
\(258\) | 221.690 | + | 971.290i | 0.0534955 | + | 0.234379i | ||||
\(259\) | 6063.52 | − | 2920.04i | 1.45471 | − | 0.700550i | ||||
\(260\) | −1939.84 | + | 2432.48i | −0.462707 | + | 0.580216i | ||||
\(261\) | −1133.47 | + | 4966.06i | −0.268813 | + | 1.17775i | ||||
\(262\) | −1928.96 | + | 928.936i | −0.454852 | + | 0.219045i | ||||
\(263\) | 1932.36 | − | 441.050i | 0.453060 | − | 0.103408i | 0.0100991 | − | 0.999949i | \(-0.496785\pi\) |
0.442961 | + | 0.896541i | \(0.353928\pi\) | |||||||
\(264\) | 959.922 | − | 765.512i | 0.223785 | − | 0.178462i | ||||
\(265\) | − | 2835.98i | − | 0.657408i | ||||||
\(266\) | 1243.76i | 0.286692i | ||||||||
\(267\) | −1054.95 | − | 508.039i | −0.241806 | − | 0.116448i | ||||
\(268\) | 206.335 | − | 428.459i | 0.0470295 | − | 0.0976577i | ||||
\(269\) | −3952.54 | + | 902.142i | −0.895877 | + | 0.204478i | −0.645581 | − | 0.763692i | \(-0.723385\pi\) |
−0.250295 | + | 0.968170i | \(0.580528\pi\) | |||||||
\(270\) | 2983.25 | − | 2379.06i | 0.672426 | − | 0.536242i | ||||
\(271\) | −971.583 | − | 774.811i | −0.217784 | − | 0.173677i | 0.508521 | − | 0.861050i | \(-0.330192\pi\) |
−0.726305 | + | 0.687373i | \(0.758764\pi\) | |||||||
\(272\) | −3529.39 | − | 7328.86i | −0.786768 | − | 1.63374i | ||||
\(273\) | 1189.46 | − | 572.815i | 0.263698 | − | 0.126990i | ||||
\(274\) | 8550.69i | 1.88528i | ||||||||
\(275\) | −2439.65 | − | 1945.55i | −0.534968 | − | 0.426623i | ||||
\(276\) | −177.438 | − | 368.453i | −0.0386975 | − | 0.0803561i | ||||
\(277\) | 3337.77 | + | 6930.96i | 0.723998 | + | 1.50340i | 0.858682 | + | 0.512508i | \(0.171284\pi\) |
−0.134685 | + | 0.990889i | \(0.543002\pi\) | |||||||
\(278\) | −4752.14 | − | 5958.99i | −1.02523 | − | 1.28560i | ||||
\(279\) | −3332.49 | − | 760.619i | −0.715093 | − | 0.163215i | ||||
\(280\) | 2635.19 | 0.562439 | ||||||||
\(281\) | − | 6354.54i | − | 1.34904i | −0.738257 | − | 0.674519i | \(-0.764351\pi\) | ||
0.738257 | − | 0.674519i | \(-0.235649\pi\) | |||||||
\(282\) | 1438.92 | + | 1804.35i | 0.303853 | + | 0.381019i | ||||
\(283\) | −1776.02 | − | 3687.95i | −0.373051 | − | 0.774649i | 0.626939 | − | 0.779068i | \(-0.284308\pi\) |
−0.999990 | + | 0.00441926i | \(0.998593\pi\) | |||||||
\(284\) | − | 938.541i | − | 0.196099i | ||||||
\(285\) | −299.881 | + | 376.039i | −0.0623279 | + | 0.0781567i | ||||
\(286\) | 11133.1 | + | 2541.06i | 2.30180 | + | 0.525370i | ||||
\(287\) | 2906.18 | − | 3644.23i | 0.597722 | − | 0.749520i | ||||
\(288\) | −3416.56 | + | 2724.62i | −0.699038 | + | 0.557464i | ||||
\(289\) | −3404.14 | − | 4268.66i | −0.692885 | − | 0.868850i | ||||
\(290\) | 9720.11 | 1.96822 | ||||||||
\(291\) | 119.657 | + | 95.4236i | 0.0241046 | + | 0.0192228i | ||||
\(292\) | −1046.33 | + | 2172.73i | −0.209698 | + | 0.435443i | ||||
\(293\) | 5049.30 | − | 6331.62i | 1.00677 | − | 1.26245i | 0.0420626 | − | 0.999115i | \(-0.486607\pi\) |
0.964705 | − | 0.263332i | \(-0.0848214\pi\) | |||||||
\(294\) | −515.745 | − | 248.370i | −0.102309 | − | 0.0492695i | ||||
\(295\) | 4331.49 | + | 988.634i | 0.854878 | + | 0.195120i | ||||
\(296\) | −5413.28 | − | 1235.55i | −1.06298 | − | 0.242617i | ||||
\(297\) | −4452.33 | − | 2144.13i | −0.869867 | − | 0.418906i | ||||
\(298\) | −4776.31 | + | 5989.31i | −0.928471 | + | 1.16427i | ||||
\(299\) | −1376.44 | + | 2858.20i | −0.266225 | + | 0.552822i | ||||
\(300\) | −279.003 | − | 222.497i | −0.0536941 | − | 0.0428196i | ||||
\(301\) | 2769.28 | 0.530294 | ||||||||
\(302\) | 4359.37 | + | 5466.48i | 0.830642 | + | 1.04159i | ||||
\(303\) | −2246.08 | + | 1791.19i | −0.425855 | + | 0.339608i | ||||
\(304\) | 1136.22 | − | 1424.77i | 0.214364 | − | 0.268804i | ||||
\(305\) | −4320.49 | − | 986.125i | −0.811117 | − | 0.185132i | ||||
\(306\) | −5466.30 | + | 6854.52i | −1.02120 | + | 1.28055i | ||||
\(307\) | 4607.93i | 0.856639i | 0.903627 | + | 0.428320i | \(0.140894\pi\) | ||||
−0.903627 | + | 0.428320i | \(0.859106\pi\) | |||||||
\(308\) | 1775.41 | + | 3686.67i | 0.328452 | + | 0.682037i | ||||
\(309\) | 853.173 | + | 1069.84i | 0.157072 | + | 0.196962i | ||||
\(310\) | 6522.71i | 1.19505i | ||||||||
\(311\) | 4574.77 | 0.834121 | 0.417060 | − | 0.908879i | \(-0.363060\pi\) | ||||
0.417060 | + | 0.908879i | \(0.363060\pi\) | |||||||
\(312\) | −1061.91 | − | 242.373i | −0.192688 | − | 0.0439798i | ||||
\(313\) | −1881.23 | − | 2358.99i | −0.339724 | − | 0.426000i | 0.582396 | − | 0.812906i | \(-0.302115\pi\) |
−0.922119 | + | 0.386905i | \(0.873544\pi\) | |||||||
\(314\) | −145.140 | − | 301.386i | −0.0260851 | − | 0.0541663i | ||||
\(315\) | −2188.49 | − | 4544.45i | −0.391453 | − | 0.812860i | ||||
\(316\) | −648.102 | − | 516.844i | −0.115375 | − | 0.0920087i | ||||
\(317\) | − | 1997.02i | − | 0.353829i | −0.984226 | − | 0.176914i | \(-0.943388\pi\) | ||
0.984226 | − | 0.176914i | \(-0.0566115\pi\) | |||||||
\(318\) | −1072.51 | + | 516.495i | −0.189131 | + | 0.0910805i | ||||
\(319\) | −5461.92 | − | 11341.8i | −0.958648 | − | 1.99065i | ||||
\(320\) | −118.467 | − | 94.4744i | −0.0206954 | − | 0.0165040i | ||||
\(321\) | −567.982 | + | 452.950i | −0.0987590 | + | 0.0787577i | ||||
\(322\) | −3140.81 | + | 716.871i | −0.543574 | + | 0.124067i | ||||
\(323\) | 1008.27 | − | 2093.69i | 0.173689 | − | 0.360669i | ||||
\(324\) | 2088.74 | + | 1005.89i | 0.358152 | + | 0.172477i | ||||
\(325\) | 2768.25i | 0.472476i | ||||||||
\(326\) | 7776.78i | 1.32121i | ||||||||
\(327\) | 723.013 | − | 576.584i | 0.122271 | − | 0.0975082i | ||||
\(328\) | −3749.20 | + | 855.729i | −0.631142 | + | 0.144054i | ||||
\(329\) | 5779.73 | − | 2783.37i | 0.968532 | − | 0.466420i | ||||
\(330\) | −997.895 | + | 4372.06i | −0.166462 | + | 0.729316i | ||||
\(331\) | 1333.29 | − | 1671.89i | 0.221402 | − | 0.277630i | −0.658708 | − | 0.752398i | \(-0.728897\pi\) |
0.880111 | + | 0.474769i | \(0.157468\pi\) | |||||||
\(332\) | −885.760 | + | 426.560i | −0.146423 | + | 0.0705136i | ||||
\(333\) | 2364.93 | + | 10361.4i | 0.389181 | + | 1.70512i | ||||
\(334\) | 3047.69 | − | 13352.8i | 0.499287 | − | 2.18752i | ||||
\(335\) | −322.366 | − | 1412.38i | −0.0525754 | − | 0.230348i | ||||
\(336\) | −852.309 | − | 1769.84i | −0.138385 | − | 0.287359i | ||||
\(337\) | 7100.80 | + | 1620.71i | 1.14779 | + | 0.261975i | 0.753777 | − | 0.657130i | \(-0.228230\pi\) |
0.394012 | + | 0.919105i | \(0.371087\pi\) | |||||||
\(338\) | −1043.94 | − | 2167.77i | −0.167997 | − | 0.348849i | ||||
\(339\) | −95.1654 | + | 416.947i | −0.0152468 | + | 0.0668007i | ||||
\(340\) | 5318.62 | + | 2561.31i | 0.848360 | + | 0.408549i | ||||
\(341\) | 7610.94 | − | 3665.24i | 1.20867 | − | 0.582064i | ||||
\(342\) | −1914.88 | − | 437.059i | −0.302763 | − | 0.0691037i | ||||
\(343\) | −4307.69 | + | 5401.67i | −0.678114 | + | 0.850328i | ||||
\(344\) | −1786.29 | − | 1424.52i | −0.279972 | − | 0.223270i | ||||
\(345\) | −1122.44 | − | 540.538i | −0.175160 | − | 0.0843524i | ||||
\(346\) | −6370.54 | + | 5080.34i | −0.989833 | + | 0.789366i | ||||
\(347\) | 3390.46 | + | 4251.50i | 0.524523 | + | 0.657731i | 0.971562 | − | 0.236783i | \(-0.0760932\pi\) |
−0.447040 | + | 0.894514i | \(0.647522\pi\) | |||||||
\(348\) | −624.636 | − | 1297.07i | −0.0962184 | − | 0.199800i | ||||
\(349\) | 8152.79 | − | 6501.63i | 1.25046 | − | 0.997205i | 0.250881 | − | 0.968018i | \(-0.419280\pi\) |
0.999574 | − | 0.0291867i | \(-0.00929172\pi\) | |||||||
\(350\) | −2197.89 | + | 1752.76i | −0.335663 | + | 0.267682i | ||||
\(351\) | 975.528 | + | 4274.07i | 0.148347 | + | 0.649951i | ||||
\(352\) | 2403.14 | − | 10528.9i | 0.363886 | − | 1.59429i | ||||
\(353\) | 6349.57 | + | 3057.79i | 0.957376 | + | 0.461048i | 0.846266 | − | 0.532760i | \(-0.178845\pi\) |
0.111109 | + | 0.993808i | \(0.464560\pi\) | |||||||
\(354\) | −414.977 | − | 1818.14i | −0.0623045 | − | 0.272974i | ||||
\(355\) | −1782.63 | − | 2235.35i | −0.266514 | − | 0.334198i | ||||
\(356\) | −3138.85 | + | 716.423i | −0.467300 | + | 0.106658i | ||||
\(357\) | −1561.79 | − | 1958.43i | −0.231537 | − | 0.290339i | ||||
\(358\) | −11287.0 | −1.66630 | ||||||||
\(359\) | 1821.78 | + | 1452.82i | 0.267828 | + | 0.213585i | 0.748190 | − | 0.663485i | \(-0.230923\pi\) |
−0.480362 | + | 0.877070i | \(0.659495\pi\) | |||||||
\(360\) | −926.010 | + | 4057.11i | −0.135569 | + | 0.593969i | ||||
\(361\) | −6338.39 | −0.924099 | ||||||||
\(362\) | 1277.97 | − | 2653.73i | 0.185549 | − | 0.385296i | ||||
\(363\) | 3603.70 | − | 822.521i | 0.521061 | − | 0.118929i | ||||
\(364\) | 1575.03 | − | 3270.59i | 0.226797 | − | 0.470949i | ||||
\(365\) | 1634.73 | + | 7162.23i | 0.234427 | + | 1.02709i | ||||
\(366\) | 413.924 | + | 1813.52i | 0.0591152 | + | 0.259001i | ||||
\(367\) | −2206.56 | − | 1759.67i | −0.313846 | − | 0.250284i | 0.453879 | − | 0.891063i | \(-0.350040\pi\) |
−0.767725 | + | 0.640779i | \(0.778611\pi\) | |||||||
\(368\) | 4252.80 | + | 2048.04i | 0.602425 | + | 0.290113i | ||||
\(369\) | 4589.38 | + | 5754.91i | 0.647463 | + | 0.811893i | ||||
\(370\) | 18272.1 | − | 8799.39i | 2.56736 | − | 1.23637i | ||||
\(371\) | 736.299 | + | 3225.94i | 0.103037 | + | 0.451435i | ||||
\(372\) | 870.402 | − | 419.164i | 0.121313 | − | 0.0584210i | ||||
\(373\) | −5745.00 | + | 11929.6i | −0.797493 | + | 1.65601i | −0.0435680 | + | 0.999050i | \(0.513873\pi\) |
−0.753925 | + | 0.656961i | \(0.771842\pi\) | |||||||
\(374\) | − | 21666.9i | − | 2.99564i | ||||||
\(375\) | 1547.86 | 0.213149 | ||||||||
\(376\) | −5159.92 | − | 1177.72i | −0.707720 | − | 0.161532i | ||||
\(377\) | −4845.48 | + | 10061.7i | −0.661949 | + | 1.37455i | ||||
\(378\) | −2775.78 | + | 3480.72i | −0.377701 | + | 0.473622i | ||||
\(379\) | −4821.75 | + | 6046.28i | −0.653501 | + | 0.819464i | −0.992618 | − | 0.121280i | \(-0.961300\pi\) |
0.339118 | + | 0.940744i | \(0.389871\pi\) | |||||||
\(380\) | 1322.50i | 0.178533i | ||||||||
\(381\) | −1901.81 | − | 1516.64i | −0.255728 | − | 0.203937i | ||||
\(382\) | −12473.0 | + | 2846.89i | −1.67062 | + | 0.381308i | ||||
\(383\) | −14365.6 | + | 3278.86i | −1.91658 | + | 0.437446i | −0.917353 | + | 0.398074i | \(0.869679\pi\) |
−0.999225 | + | 0.0393727i | \(0.987464\pi\) | |||||||
\(384\) | −518.200 | + | 2270.38i | −0.0688653 | + | 0.301718i | ||||
\(385\) | 11230.9 | + | 5408.51i | 1.48670 | + | 0.715956i | ||||
\(386\) | 10959.5 | − | 8739.92i | 1.44514 | − | 1.15246i | ||||
\(387\) | −973.128 | + | 4263.55i | −0.127821 | + | 0.560022i | ||||
\(388\) | 420.824 | 0.0550622 | ||||||||
\(389\) | 3285.59 | − | 6822.59i | 0.428241 | − | 0.889252i | −0.569494 | − | 0.821995i | \(-0.692861\pi\) |
0.997736 | − | 0.0672571i | \(-0.0214248\pi\) | |||||||
\(390\) | 3584.39 | − | 1726.15i | 0.465391 | − | 0.224121i | ||||
\(391\) | 5868.24 | + | 1339.39i | 0.759001 | + | 0.173237i | ||||
\(392\) | 1279.86 | − | 292.119i | 0.164904 | − | 0.0376384i | ||||
\(393\) | 965.995 | 0.123990 | ||||||||
\(394\) | −7452.06 | − | 6243.28i | −0.952866 | − | 0.798304i | ||||
\(395\) | −2525.28 | −0.321673 | ||||||||
\(396\) | −6299.84 | + | 1437.90i | −0.799441 | + | 0.182467i | ||||
\(397\) | 2134.30 | + | 487.140i | 0.269817 | + | 0.0615840i | 0.355289 | − | 0.934757i | \(-0.384383\pi\) |
−0.0854716 | + | 0.996341i | \(0.527240\pi\) | |||||||
\(398\) | −12915.0 | + | 6219.52i | −1.62655 | + | 0.783307i | ||||
\(399\) | 243.486 | − | 505.603i | 0.0305502 | − | 0.0634381i | ||||
\(400\) | 4118.96 | 0.514870 | ||||||||
\(401\) | 850.005 | − | 3724.12i | 0.105853 | − | 0.463774i | −0.894022 | − | 0.448022i | \(-0.852129\pi\) |
0.999876 | − | 0.0157522i | \(-0.00501429\pi\) | |||||||
\(402\) | −475.424 | + | 379.138i | −0.0589851 | + | 0.0470390i | ||||
\(403\) | −6751.96 | − | 3251.57i | −0.834588 | − | 0.401916i | ||||
\(404\) | −1757.75 | + | 7701.22i | −0.216464 | + | 0.948391i | ||||
\(405\) | 6885.38 | − | 1571.54i | 0.844783 | − | 0.192816i | ||||
\(406\) | −11056.6 | + | 2523.61i | −1.35156 | + | 0.308484i | ||||
\(407\) | −20534.9 | − | 16376.1i | −2.50093 | − | 1.99443i | ||||
\(408\) | 2066.65i | 0.250771i | ||||||||
\(409\) | 8206.47 | − | 10290.6i | 0.992137 | − | 1.24410i | 0.0224505 | − | 0.999748i | \(-0.492853\pi\) |
0.969686 | − | 0.244353i | \(-0.0785754\pi\) | |||||||
\(410\) | 8757.62 | − | 10981.7i | 1.05490 | − | 1.32280i | ||||
\(411\) | 1673.93 | − | 3475.95i | 0.200897 | − | 0.417167i | ||||
\(412\) | 3668.21 | + | 837.246i | 0.438641 | + | 0.100117i | ||||
\(413\) | −5183.75 | −0.617617 | ||||||||
\(414\) | − | 5087.47i | − | 0.603951i | ||||||
\(415\) | −1299.45 | + | 2698.34i | −0.153705 | + | 0.319171i | ||||
\(416\) | −8631.96 | + | 4156.94i | −1.01735 | + | 0.489929i | ||||
\(417\) | 765.232 | + | 3352.70i | 0.0898647 | + | 0.393723i | ||||
\(418\) | 4373.33 | − | 2106.08i | 0.511738 | − | 0.246440i | ||||
\(419\) | 3365.88 | + | 4220.68i | 0.392444 | + | 0.492110i | 0.938326 | − | 0.345753i | \(-0.112376\pi\) |
−0.545881 | + | 0.837863i | \(0.683805\pi\) | |||||||
\(420\) | 1284.39 | + | 618.528i | 0.149218 | + | 0.0718597i | ||||
\(421\) | −4707.89 | − | 3754.41i | −0.545008 | − | 0.434629i | 0.311888 | − | 0.950119i | \(-0.399039\pi\) |
−0.856896 | + | 0.515490i | \(0.827610\pi\) | |||||||
\(422\) | 3434.98 | + | 15049.7i | 0.396238 | + | 1.73603i | ||||
\(423\) | 2254.25 | + | 9876.49i | 0.259114 | + | 1.13525i | ||||
\(424\) | 1184.49 | − | 2459.61i | 0.135669 | − | 0.281720i | ||||
\(425\) | 5120.71 | − | 1168.77i | 0.584449 | − | 0.133397i | ||||
\(426\) | −520.709 | + | 1081.26i | −0.0592217 | + | 0.122975i | ||||
\(427\) | 5170.59 | 0.586001 | ||||||||
\(428\) | −444.495 | + | 1947.46i | −0.0501997 | + | 0.219939i | ||||
\(429\) | −4028.28 | − | 3212.44i | −0.453350 | − | 0.361534i | ||||
\(430\) | 8345.08 | 0.935897 | ||||||||
\(431\) | −6904.14 | − | 8657.52i | −0.771603 | − | 0.967560i | 0.228379 | − | 0.973572i | \(-0.426658\pi\) |
−0.999982 | + | 0.00601274i | \(0.998086\pi\) | |||||||
\(432\) | 6359.51 | − | 1451.52i | 0.708269 | − | 0.161658i | ||||
\(433\) | 5904.36 | + | 7403.83i | 0.655301 | + | 0.821721i | 0.992823 | − | 0.119597i | \(-0.0381601\pi\) |
−0.337522 | + | 0.941318i | \(0.609589\pi\) | |||||||
\(434\) | −1693.47 | − | 7419.59i | −0.187303 | − | 0.820626i | ||||
\(435\) | −3951.33 | − | 1902.86i | −0.435521 | − | 0.209736i | ||||
\(436\) | 565.820 | − | 2479.02i | 0.0621511 | − | 0.272302i | ||||
\(437\) | 300.063 | + | 1314.66i | 0.0328465 | + | 0.143910i | ||||
\(438\) | 2410.89 | − | 1922.62i | 0.263007 | − | 0.209741i | ||||
\(439\) | 9500.08 | − | 7576.06i | 1.03283 | − | 0.823658i | 0.0482967 | − | 0.998833i | \(-0.484621\pi\) |
0.984537 | + | 0.175175i | \(0.0560493\pi\) | |||||||
\(440\) | −4462.22 | − | 9265.89i | −0.483472 | − | 1.00394i | ||||
\(441\) | −1566.67 | − | 1964.54i | −0.169169 | − | 0.212131i | ||||
\(442\) | −15028.0 | + | 11984.4i | −1.61721 | + | 1.28969i | ||||
\(443\) | −6743.89 | − | 3247.69i | −0.723277 | − | 0.348312i | 0.0357589 | − | 0.999360i | \(-0.488615\pi\) |
−0.759036 | + | 0.651049i | \(0.774329\pi\) | |||||||
\(444\) | −2348.42 | − | 1872.80i | −0.251015 | − | 0.200178i | ||||
\(445\) | −6115.16 | + | 7668.17i | −0.651430 | + | 0.816867i | ||||
\(446\) | 14481.7 | + | 3305.35i | 1.53751 | + | 0.350926i | ||||
\(447\) | 3114.12 | − | 1499.68i | 0.329514 | − | 0.158686i | ||||
\(448\) | 159.285 | + | 76.7075i | 0.0167980 | + | 0.00808948i | ||||
\(449\) | −419.789 | + | 1839.22i | −0.0441227 | + | 0.193314i | −0.992186 | − | 0.124768i | \(-0.960181\pi\) |
0.948063 | + | 0.318082i | \(0.103039\pi\) | |||||||
\(450\) | −1926.18 | − | 3999.76i | −0.201780 | − | 0.419001i | ||||
\(451\) | −17735.0 | − | 4047.89i | −1.85168 | − | 0.422633i | ||||
\(452\) | 510.218 | + | 1059.48i | 0.0530944 | + | 0.110252i | ||||
\(453\) | −701.985 | − | 3075.60i | −0.0728083 | − | 0.318994i | ||||
\(454\) | 4749.13 | − | 20807.3i | 0.490943 | − | 2.15096i | ||||
\(455\) | −2460.74 | − | 10781.2i | −0.253542 | − | 1.11084i | ||||
\(456\) | −417.141 | + | 200.884i | −0.0428386 | + | 0.0206300i | ||||
\(457\) | 7693.87 | − | 9647.81i | 0.787536 | − | 0.987539i | −0.212410 | − | 0.977181i | \(-0.568131\pi\) |
0.999946 | − | 0.0103586i | \(-0.00329729\pi\) | |||||||
\(458\) | 405.958 | − | 1778.62i | 0.0414174 | − | 0.181461i | ||||
\(459\) | 7494.31 | − | 3609.07i | 0.762101 | − | 0.367008i | ||||
\(460\) | −3339.64 | + | 762.251i | −0.338503 | + | 0.0772612i | ||||
\(461\) | −4696.08 | + | 3745.00i | −0.474443 | + | 0.378356i | −0.831319 | − | 0.555796i | \(-0.812413\pi\) |
0.356875 | + | 0.934152i | \(0.383842\pi\) | |||||||
\(462\) | − | 5232.31i | − | 0.526903i | ||||||
\(463\) | − | 6281.33i | − | 0.630493i | −0.949010 | − | 0.315246i | \(-0.897913\pi\) | ||
0.949010 | − | 0.315246i | \(-0.102087\pi\) | |||||||
\(464\) | 14971.2 | + | 7209.73i | 1.49789 | + | 0.721344i | ||||
\(465\) | 1276.92 | − | 2651.55i | 0.127346 | − | 0.264436i | ||||
\(466\) | −8526.64 | + | 1946.15i | −0.847616 | + | 0.193463i | ||||
\(467\) | −5090.98 | + | 4059.92i | −0.504459 | + | 0.402293i | −0.842382 | − | 0.538881i | \(-0.818847\pi\) |
0.337923 | + | 0.941174i | \(0.390276\pi\) | |||||||
\(468\) | 4481.89 | + | 3574.19i | 0.442683 | + | 0.353028i | ||||
\(469\) | 733.385 | + | 1522.89i | 0.0722059 | + | 0.149937i | ||||
\(470\) | 17416.9 | − | 8387.55i | 1.70933 | − | 0.823168i | ||||
\(471\) | 150.930i | 0.0147654i | ||||||||
\(472\) | 3343.72 | + | 2666.53i | 0.326075 | + | 0.260036i | ||||
\(473\) | −4689.26 | − | 9737.36i | −0.455841 | − | 0.946563i | ||||
\(474\) | 459.910 | + | 955.012i | 0.0445661 | + | 0.0925426i | ||||
\(475\) | 733.656 | + | 919.976i | 0.0708683 | + | 0.0888661i | ||||
\(476\) | −6714.92 | − | 1532.64i | −0.646592 | − | 0.147580i | ||||
\(477\) | −5225.35 | −0.501578 | ||||||||
\(478\) | − | 19037.6i | − | 1.82167i | ||||||
\(479\) | −2680.69 | − | 3361.48i | −0.255707 | − | 0.320647i | 0.637363 | − | 0.770564i | \(-0.280025\pi\) |
−0.893071 | + | 0.449917i | \(0.851454\pi\) | |||||||
\(480\) | −1632.46 | − | 3389.85i | −0.155232 | − | 0.322343i | ||||
\(481\) | 23300.8i | 2.20879i | ||||||||
\(482\) | −4146.59 | + | 5199.66i | −0.391851 | + | 0.491365i | ||||
\(483\) | 1417.11 | + | 323.447i | 0.133501 | + | 0.0304707i | ||||
\(484\) | 6336.94 | − | 7946.28i | 0.595130 | − | 0.746269i | ||||
\(485\) | 1002.29 | − | 799.301i | 0.0938386 | − | 0.0748338i | ||||
\(486\) | −6682.34 | − | 8379.39i | −0.623698 | − | 0.782092i | ||||
\(487\) | 1278.02 | 0.118917 | 0.0594585 | − | 0.998231i | \(-0.481063\pi\) | ||||
0.0594585 | + | 0.998231i | \(0.481063\pi\) | |||||||
\(488\) | −3335.24 | − | 2659.76i | −0.309383 | − | 0.246725i | ||||
\(489\) | 1522.42 | − | 3161.34i | 0.140790 | − | 0.292354i | ||||
\(490\) | −2989.57 | + | 3748.81i | −0.275623 | + | 0.345620i | ||||
\(491\) | −2323.44 | − | 1118.91i | −0.213555 | − | 0.102842i | 0.324049 | − | 0.946040i | \(-0.394956\pi\) |
−0.537603 | + | 0.843198i | \(0.680670\pi\) | |||||||
\(492\) | −2028.20 | − | 462.924i | −0.185851 | − | 0.0424192i | ||||
\(493\) | 20658.0 | + | 4715.06i | 1.88720 | + | 0.430741i | ||||
\(494\) | −3879.75 | − | 1868.39i | −0.353356 | − | 0.170167i | ||||
\(495\) | −12273.4 | + | 15390.4i | −1.11444 | + | 1.39747i | ||||
\(496\) | −4838.11 | + | 10046.4i | −0.437979 | + | 0.909473i | ||||
\(497\) | 2608.11 | + | 2079.90i | 0.235392 | + | 0.187719i | ||||
\(498\) | 1257.12 | 0.113118 | ||||||||
\(499\) | 5679.44 | + | 7121.80i | 0.509513 | + | 0.638909i | 0.968345 | − | 0.249614i | \(-0.0803037\pi\) |
−0.458833 | + | 0.888523i | \(0.651732\pi\) | |||||||
\(500\) | 3327.51 | − | 2653.60i | 0.297621 | − | 0.237345i | ||||
\(501\) | −3852.93 | + | 4831.42i | −0.343585 | + | 0.430842i | ||||
\(502\) | −9782.04 | − | 2232.69i | −0.869709 | − | 0.198505i | ||||
\(503\) | 8454.16 | − | 10601.2i | 0.749408 | − | 0.939728i | −0.250187 | − | 0.968198i | \(-0.580492\pi\) |
0.999595 | + | 0.0284698i | \(0.00906345\pi\) | |||||||
\(504\) | − | 4855.39i | − | 0.429120i | ||||||
\(505\) | 10441.0 | + | 21680.9i | 0.920032 | + | 1.91047i | ||||
\(506\) | 7839.06 | + | 9829.87i | 0.688713 | + | 0.863618i | ||||
\(507\) | 1085.59i | 0.0950941i | ||||||||
\(508\) | −6688.49 | −0.584161 | ||||||||
\(509\) | 15003.2 | + | 3424.39i | 1.30650 | + | 0.298199i | 0.818429 | − | 0.574608i | \(-0.194845\pi\) |
0.488066 | + | 0.872807i | \(0.337702\pi\) | |||||||
\(510\) | −4706.38 | − | 5901.62i | −0.408632 | − | 0.512408i | ||||
\(511\) | −3719.02 | − | 7722.62i | −0.321956 | − | 0.668549i | ||||
\(512\) | 2639.10 | + | 5480.15i | 0.227799 | + | 0.473029i | ||||
\(513\) | 1456.94 | + | 1161.87i | 0.125390 | + | 0.0999956i | ||||
\(514\) | − | 1318.96i | − | 0.113185i | ||||||
\(515\) | 10326.9 | − | 4973.19i | 0.883611 | − | 0.425524i | ||||
\(516\) | −536.274 | − | 1113.58i | −0.0457522 | − | 0.0950054i | ||||
\(517\) | −19573.8 | − | 15609.6i | −1.66510 | − | 1.32787i | ||||
\(518\) | −18500.0 | + | 14753.3i | −1.56920 | + | 1.25139i | ||||
\(519\) | 3584.25 | − | 818.081i | 0.303143 | − | 0.0691903i | ||||
\(520\) | −3958.60 | + | 8220.12i | −0.333839 | + | 0.693224i | ||||
\(521\) | 7555.36 | + | 3638.47i | 0.635329 | + | 0.305958i | 0.723685 | − | 0.690131i | \(-0.242447\pi\) |
−0.0883561 | + | 0.996089i | \(0.528161\pi\) | |||||||
\(522\) | − | 17909.5i | − | 1.50168i | ||||||
\(523\) | − | 11634.1i | − | 0.972702i | −0.873763 | − | 0.486351i | \(-0.838328\pi\) | ||
0.873763 | − | 0.486351i | \(-0.161672\pi\) | |||||||
\(524\) | 2076.65 | − | 1656.07i | 0.173127 | − | 0.138064i | ||||
\(525\) | 1236.59 | − | 282.245i | 0.102799 | − | 0.0234632i | ||||
\(526\) | −6278.70 | + | 3023.66i | −0.520465 | + | 0.250643i | ||||
\(527\) | −3164.05 | + | 13862.6i | −0.261534 | + | 1.14585i | ||||
\(528\) | −4779.89 | + | 5993.79i | −0.393973 | + | 0.494027i | ||||
\(529\) | 7815.19 | − | 3763.60i | 0.642326 | − | 0.309328i | ||||
\(530\) | 2218.80 | + | 9721.20i | 0.181846 | + | 0.796721i | ||||
\(531\) | 1821.58 | − | 7980.85i | 0.148869 | − | 0.652240i | ||||
\(532\) | −343.356 | − | 1504.34i | −0.0279819 | − | 0.122597i | ||||
\(533\) | 7002.00 | + | 14539.8i | 0.569025 | + | 1.18159i | ||||
\(534\) | 4013.65 | + | 916.090i | 0.325258 | + | 0.0742380i | ||||
\(535\) | 2640.27 | + | 5482.58i | 0.213363 | + | 0.443052i | ||||
\(536\) | 310.315 | − | 1359.58i | 0.0250066 | − | 0.109561i | ||||
\(537\) | 4588.28 | + | 2209.60i | 0.368713 | + | 0.177563i | ||||
\(538\) | 12842.7 | − | 6184.73i | 1.02916 | − | 0.495618i | ||||
\(539\) | 6054.15 | + | 1381.82i | 0.483805 | + | 0.110425i | ||||
\(540\) | −2951.50 | + | 3701.07i | −0.235208 | + | 0.294942i | ||||
\(541\) | −2357.90 | − | 1880.36i | −0.187383 | − | 0.149433i | 0.525305 | − | 0.850914i | \(-0.323951\pi\) |
−0.712688 | + | 0.701481i | \(0.752522\pi\) | |||||||
\(542\) | 3936.59 | + | 1895.76i | 0.311976 | + | 0.150240i | ||||
\(543\) | −1039.02 | + | 828.588i | −0.0821151 | + | 0.0654846i | ||||
\(544\) | 11334.0 | + | 14212.3i | 0.893272 | + | 1.12013i | ||||
\(545\) | −3360.94 | − | 6979.07i | −0.264159 | − | 0.548533i | ||||
\(546\) | −3629.09 | + | 2894.10i | −0.284452 | + | 0.226843i | ||||
\(547\) | −4785.23 | + | 3816.10i | −0.374043 | + | 0.298290i | −0.792410 | − | 0.609988i | \(-0.791174\pi\) |
0.418367 | + | 0.908278i | \(0.362603\pi\) | |||||||
\(548\) | −2360.53 | − | 10342.1i | −0.184008 | − | 0.806194i | ||||
\(549\) | −1816.95 | + | 7960.59i | −0.141249 | + | 0.618852i | ||||
\(550\) | 9884.77 | + | 4760.26i | 0.766342 | + | 0.369051i | ||||
\(551\) | 1056.31 | + | 4628.01i | 0.0816705 | + | 0.357822i | ||||
\(552\) | −747.712 | − | 937.601i | −0.0576535 | − | 0.0722952i | ||||
\(553\) | 2872.51 | − | 655.633i | 0.220889 | − | 0.0504165i | ||||
\(554\) | −16863.8 | − | 21146.6i | −1.29328 | − | 1.62172i | ||||
\(555\) | −9150.43 | −0.699845 | ||||||||
\(556\) | 7392.82 | + | 5895.57i | 0.563894 | + | 0.449691i | ||||
\(557\) | −788.713 | + | 3455.58i | −0.0599979 | + | 0.262868i | −0.996027 | − | 0.0890555i | \(-0.971615\pi\) |
0.936029 | + | 0.351923i | \(0.114472\pi\) | |||||||
\(558\) | 12018.2 | 0.911776 | ||||||||
\(559\) | −4160.03 | + | 8638.38i | −0.314759 | + | 0.653604i | ||||
\(560\) | −16041.7 | + | 3661.42i | −1.21051 | + | 0.276291i | ||||
\(561\) | −4241.62 | + | 8807.82i | −0.319218 | + | 0.662864i | ||||
\(562\) | 4971.62 | + | 21782.1i | 0.373159 | + | 1.63492i | ||||
\(563\) | −1763.63 | − | 7726.98i | −0.132022 | − | 0.578425i | −0.997054 | − | 0.0767080i | \(-0.975559\pi\) |
0.865032 | − | 0.501717i | \(-0.167298\pi\) | |||||||
\(564\) | −2238.50 | − | 1785.15i | −0.167124 | − | 0.133277i | ||||
\(565\) | 3227.55 | + | 1554.30i | 0.240325 | + | 0.115735i | ||||
\(566\) | 8973.21 | + | 11252.0i | 0.666382 | + | 0.835616i | ||||
\(567\) | −7424.11 | + | 3575.26i | −0.549882 | + | 0.264809i | ||||
\(568\) | −612.430 | − | 2683.23i | −0.0452412 | − | 0.198214i | ||||
\(569\) | −17323.7 | + | 8342.64i | −1.27636 | + | 0.614660i | −0.944451 | − | 0.328652i | \(-0.893406\pi\) |
−0.331905 | + | 0.943313i | \(0.607691\pi\) | |||||||
\(570\) | 733.731 | − | 1523.61i | 0.0539169 | − | 0.111960i | ||||
\(571\) | − | 4874.82i | − | 0.357277i | −0.983915 | − | 0.178638i | \(-0.942831\pi\) | ||
0.983915 | − | 0.178638i | \(-0.0571692\pi\) | |||||||
\(572\) | −14167.1 | −1.03559 | ||||||||
\(573\) | 5627.75 | + | 1284.50i | 0.410301 | + | 0.0936486i | ||||
\(574\) | −7110.65 | + | 14765.4i | −0.517061 | + | 1.07369i | ||||
\(575\) | −1900.31 | + | 2382.92i | −0.137824 | + | 0.172825i | ||||
\(576\) | −174.071 | + | 218.278i | −0.0125919 | + | 0.0157898i | ||||
\(577\) | 20095.5i | 1.44989i | 0.688807 | + | 0.724945i | \(0.258135\pi\) | ||||
−0.688807 | + | 0.724945i | \(0.741865\pi\) | |||||||
\(578\) | 15008.4 | + | 11968.8i | 1.08005 | + | 0.861310i | ||||
\(579\) | −6166.14 | + | 1407.38i | −0.442584 | + | 0.101017i | ||||
\(580\) | −11756.6 | + | 2683.36i | −0.841664 | + | 0.192104i | ||||
\(581\) | 777.565 | − | 3406.73i | 0.0555229 | − | 0.243262i | ||||
\(582\) | −484.819 | − | 233.477i | −0.0345299 | − | 0.0166287i | ||||
\(583\) | 10096.3 | − | 8051.51i | 0.717230 | − | 0.571972i | ||||
\(584\) | −1573.62 | + | 6894.46i | −0.111501 | + | 0.488519i | ||||
\(585\) | 17463.4 | 1.23422 | ||||||||
\(586\) | −12354.3 | + | 25654.0i | −0.870907 | + | 1.80846i | ||||
\(587\) | 15923.7 | − | 7668.46i | 1.11966 | − | 0.539201i | 0.219875 | − | 0.975528i | \(-0.429435\pi\) |
0.899788 | + | 0.436327i | \(0.143721\pi\) | |||||||
\(588\) | 692.365 | + | 158.028i | 0.0485589 | + | 0.0110833i | ||||
\(589\) | −3105.64 | + | 708.842i | −0.217259 | + | 0.0495880i | ||||
\(590\) | −15621.0 | −1.09001 | ||||||||
\(591\) | 1807.13 | + | 3996.82i | 0.125779 | + | 0.278184i | ||||
\(592\) | 34670.0 | 2.40697 | ||||||||
\(593\) | −21706.3 | + | 4954.32i | −1.50315 | + | 0.343085i | −0.893312 | − | 0.449437i | \(-0.851625\pi\) |
−0.609843 | + | 0.792522i | \(0.708767\pi\) | |||||||
\(594\) | 16939.2 | + | 3866.27i | 1.17008 | + | 0.267062i | ||||
\(595\) | −18904.2 | + | 9103.78i | −1.30252 | + | 0.627258i | ||||
\(596\) | 4123.57 | − | 8562.69i | 0.283403 | − | 0.588492i | ||||
\(597\) | 6467.64 | 0.443388 | ||||||||
\(598\) | 2481.97 | − | 10874.2i | 0.169725 | − | 0.743612i | ||||
\(599\) | 4429.24 | − | 3532.20i | 0.302127 | − | 0.240938i | −0.460677 | − | 0.887568i | \(-0.652394\pi\) |
0.762804 | + | 0.646630i | \(0.223822\pi\) | |||||||
\(600\) | −942.838 | − | 454.047i | −0.0641520 | − | 0.0308940i | ||||
\(601\) | 2817.91 | − | 12346.1i | 0.191256 | − | 0.837949i | −0.784681 | − | 0.619899i | \(-0.787173\pi\) |
0.975938 | − | 0.218049i | \(-0.0699694\pi\) | |||||||
\(602\) | −9492.54 | + | 2166.61i | −0.642670 | + | 0.146685i | ||||
\(603\) | −2602.34 | + | 593.966i | −0.175747 | + | 0.0401130i | ||||
\(604\) | −6781.80 | − | 5408.30i | −0.456867 | − | 0.364339i | ||||
\(605\) | − | 30962.1i | − | 2.08064i | ||||||
\(606\) | 6297.75 | − | 7897.12i | 0.422159 | − | 0.529371i | ||||
\(607\) | −593.436 | + | 744.146i | −0.0396818 | + | 0.0497594i | −0.801276 | − | 0.598294i | \(-0.795845\pi\) |
0.761595 | + | 0.648054i | \(0.224417\pi\) | |||||||
\(608\) | −1766.98 | + | 3669.17i | −0.117863 | + | 0.244744i | ||||
\(609\) | 4988.68 | + | 1138.63i | 0.331940 | + | 0.0757632i | ||||
\(610\) | 15581.3 | 1.03421 | ||||||||
\(611\) | 22210.3i | 1.47059i | ||||||||
\(612\) | 4719.26 | − | 9799.65i | 0.311707 | − | 0.647267i | ||||
\(613\) | −8974.47 | + | 4321.88i | −0.591314 | + | 0.284762i | −0.705514 | − | 0.708696i | \(-0.749284\pi\) |
0.114200 | + | 0.993458i | \(0.463569\pi\) | |||||||
\(614\) | −3605.12 | − | 15795.1i | −0.236956 | − | 1.03817i | ||||
\(615\) | −5709.91 | + | 2749.75i | −0.374383 | + | 0.180293i | ||||
\(616\) | 7481.45 | + | 9381.45i | 0.489345 | + | 0.613619i | ||||
\(617\) | −8203.90 | − | 3950.79i | −0.535294 | − | 0.257784i | 0.146650 | − | 0.989188i | \(-0.453151\pi\) |
−0.681944 | + | 0.731404i | \(0.738865\pi\) | |||||||
\(618\) | −3761.53 | − | 2999.72i | −0.244840 | − | 0.195253i | ||||
\(619\) | −6200.27 | − | 27165.2i | −0.402601 | − | 1.76391i | −0.616800 | − | 0.787120i | \(-0.711571\pi\) |
0.214199 | − | 0.976790i | \(-0.431286\pi\) | |||||||
\(620\) | −1800.68 | − | 7889.28i | −0.116640 | − | 0.511034i | ||||
\(621\) | −2094.27 | + | 4348.80i | −0.135331 | + | 0.281017i | ||||
\(622\) | −15681.4 | + | 3579.18i | −1.01088 | + | 0.230727i | ||||
\(623\) | 4965.14 | − | 10310.2i | 0.319300 | − | 0.663034i | ||||
\(624\) | 6801.11 | 0.436318 | ||||||||
\(625\) | 4319.54 | − | 18925.1i | 0.276450 | − | 1.21121i | ||||
\(626\) | 8294.11 | + | 6614.33i | 0.529552 | + | 0.422303i | ||||
\(627\) | −2190.10 | −0.139496 | ||||||||
\(628\) | 258.750 | + | 324.462i | 0.0164415 | + | 0.0206169i | ||||
\(629\) | 43101.9 | − | 9837.73i | 2.73225 | − | 0.623619i | ||||
\(630\) | 11057.2 | + | 13865.3i | 0.699252 | + | 0.876835i | ||||
\(631\) | 3727.78 | + | 16332.5i | 0.235183 | + | 1.03040i | 0.945270 | + | 0.326290i | \(0.105799\pi\) |
−0.710087 | + | 0.704114i | \(0.751344\pi\) | |||||||
\(632\) | −2190.14 | − | 1054.72i | −0.137847 | − | 0.0663835i | ||||
\(633\) | 1549.84 | − | 6790.30i | 0.0973154 | − | 0.426367i | ||||
\(634\) | 1562.41 | + | 6845.38i | 0.0978728 | + | 0.428809i | ||||
\(635\) | −15930.2 | + | 12703.9i | −0.995544 | + | 0.793919i | ||||
\(636\) | 1154.63 | − | 920.787i | 0.0719875 | − | 0.0574081i | ||||
\(637\) | −2390.26 | − | 4963.43i | −0.148674 | − | 0.308726i | ||||
\(638\) | 27595.9 | + | 34604.2i | 1.71243 | + | 2.14732i | ||||
\(639\) | −4118.68 | + | 3284.54i | −0.254980 | + | 0.203340i | ||||
\(640\) | 17574.8 | + | 8463.58i | 1.08548 | + | 0.522738i | ||||
\(641\) | 2952.52 | + | 2354.55i | 0.181930 | + | 0.145085i | 0.710221 | − | 0.703979i | \(-0.248595\pi\) |
−0.528290 | + | 0.849064i | \(0.677167\pi\) | |||||||
\(642\) | 1592.55 | − | 1997.00i | 0.0979019 | − | 0.122765i | ||||
\(643\) | 21655.6 | + | 4942.75i | 1.32817 | + | 0.303146i | 0.827000 | − | 0.562203i | \(-0.190046\pi\) |
0.501170 | + | 0.865349i | \(0.332903\pi\) | |||||||
\(644\) | 3600.95 | − | 1734.12i | 0.220337 | − | 0.106109i | ||||
\(645\) | −3392.37 | − | 1633.68i | −0.207092 | − | 0.0997302i | ||||
\(646\) | −1818.10 | + | 7965.60i | −0.110731 | + | 0.485143i | ||||
\(647\) | −13560.8 | − | 28159.2i | −0.824001 | − | 1.71106i | −0.694519 | − | 0.719474i | \(-0.744383\pi\) |
−0.129482 | − | 0.991582i | \(-0.541331\pi\) | |||||||
\(648\) | 6627.96 | + | 1512.79i | 0.401807 | + | 0.0917098i | ||||
\(649\) | 8777.73 | + | 18227.1i | 0.530903 | + | 1.10243i | ||||
\(650\) | −2165.80 | − | 9489.01i | −0.130692 | − | 0.572599i | ||||
\(651\) | −764.083 | + | 3347.67i | −0.0460012 | + | 0.201544i | ||||
\(652\) | −2146.88 | − | 9406.09i | −0.128954 | − | 0.564986i | ||||
\(653\) | −29964.9 | + | 14430.3i | −1.79574 | + | 0.864781i | −0.861902 | + | 0.507074i | \(0.830727\pi\) |
−0.933834 | + | 0.357707i | \(0.883559\pi\) | |||||||
\(654\) | −2027.24 | + | 2542.08i | −0.121210 | + | 0.151993i | ||||
\(655\) | 1800.53 | − | 7888.63i | 0.107408 | − | 0.470587i | ||||
\(656\) | 21634.2 | − | 10418.5i | 1.28761 | − | 0.620082i | ||||
\(657\) | 13196.5 | − | 3012.02i | 0.783631 | − | 0.178859i | ||||
\(658\) | −17634.2 | + | 14062.8i | −1.04476 | + | 0.833167i | ||||
\(659\) | 27712.1i | 1.63811i | 0.573718 | + | 0.819053i | \(0.305501\pi\) | ||||
−0.573718 | + | 0.819053i | \(0.694499\pi\) | |||||||
\(660\) | − | 5563.53i | − | 0.328122i | ||||||
\(661\) | 7594.73 | + | 3657.43i | 0.446900 | + | 0.215216i | 0.643778 | − | 0.765212i | \(-0.277366\pi\) |
−0.196878 | + | 0.980428i | \(0.563080\pi\) | |||||||
\(662\) | −3262.21 | + | 6774.05i | −0.191525 | + | 0.397705i | ||||
\(663\) | 8455.18 | − | 1929.84i | 0.495282 | − | 0.113045i | ||||
\(664\) | −2253.99 | + | 1797.50i | −0.131735 | + | 0.105055i | ||||
\(665\) | −3675.08 | − | 2930.78i | −0.214306 | − | 0.170904i | ||||
\(666\) | −16213.0 | − | 33666.7i | −0.943307 | − | 1.95880i | ||||
\(667\) | −11078.1 | + | 5334.92i | −0.643095 | + | 0.309698i | ||||
\(668\) | 16991.7i | 0.984174i | ||||||||
\(669\) | −5239.90 | − | 4178.68i | −0.302819 | − | 0.241490i | ||||
\(670\) | 2210.02 | + | 4589.15i | 0.127433 | + | 0.264618i | ||||
\(671\) | −8755.45 | − | 18180.9i | −0.503726 | − | 1.04600i | ||||
\(672\) | 2737.03 | + | 3432.12i | 0.157118 | + | 0.197019i | ||||
\(673\) | −17606.1 | − | 4018.48i | −1.00842 | − | 0.230165i | −0.313759 | − | 0.949503i | \(-0.601588\pi\) |
−0.694661 | + | 0.719337i | \(0.744446\pi\) | |||||||
\(674\) | −25608.1 | −1.46348 | ||||||||
\(675\) | 4211.94i | 0.240174i | ||||||||
\(676\) | 1861.10 | + | 2333.74i | 0.105889 | + | 0.132780i | ||||
\(677\) | 6485.51 | + | 13467.3i | 0.368181 | + | 0.764535i | 0.999944 | − | 0.0106267i | \(-0.00338265\pi\) |
−0.631763 | + | 0.775162i | \(0.717668\pi\) | |||||||
\(678\) | − | 1503.67i | − | 0.0851740i | ||||||
\(679\) | −932.588 | + | 1169.43i | −0.0527090 | + | 0.0660950i | ||||
\(680\) | 16876.9 | + | 3852.05i | 0.951766 | + | 0.217234i | ||||
\(681\) | −6003.93 | + | 7528.69i | −0.337843 | + | 0.423642i | ||||
\(682\) | −23221.2 | + | 18518.3i | −1.30379 | + | 1.03974i | ||||
\(683\) | −4485.86 | − | 5625.09i | −0.251313 | − | 0.315136i | 0.640133 | − | 0.768265i | \(-0.278879\pi\) |
−0.891445 | + | 0.453128i | \(0.850308\pi\) | |||||||
\(684\) | 2436.73 | 0.136214 | ||||||||
\(685\) | −25265.7 | − | 20148.7i | −1.40927 | − | 1.12386i | ||||
\(686\) | 10539.8 | − | 21886.1i | 0.586604 | − | 1.21810i | ||||
\(687\) | −513.218 | + | 643.555i | −0.0285014 | + | 0.0357397i | ||||
\(688\) | 12853.3 | + | 6189.83i | 0.712250 | + | 0.343001i | ||||
\(689\) | −11168.9 | − | 2549.24i | −0.617566 | − | 0.140955i | ||||
\(690\) | 4270.40 | + | 974.691i | 0.235611 | + | 0.0537766i | ||||
\(691\) | −8536.08 | − | 4110.76i | −0.469939 | − | 0.226311i | 0.183899 | − | 0.982945i | \(-0.441128\pi\) |
−0.653838 | + | 0.756634i | \(0.726842\pi\) | |||||||
\(692\) | 6302.74 | − | 7903.38i | 0.346234 | − | 0.434164i | ||||
\(693\) | 9965.28 | − | 20693.1i | 0.546248 | − | 1.13430i | ||||
\(694\) | −14948.1 | − | 11920.7i | −0.817611 | − | 0.652023i | ||||
\(695\) | 28805.6 | 1.57217 | ||||||||
\(696\) | −2632.18 | − | 3300.65i | −0.143351 | − | 0.179757i | ||||
\(697\) | 23939.5 | − | 19091.1i | 1.30096 | − | 1.03748i | ||||
\(698\) | −22859.5 | + | 28664.8i | −1.23960 | + | 1.55441i | ||||
\(699\) | 3847.16 | + | 878.090i | 0.208173 | + | 0.0475142i | ||||
\(700\) | 2174.50 | − | 2726.73i | 0.117412 | − | 0.147230i | ||||
\(701\) | 29801.0i | 1.60566i | 0.596207 | + | 0.802831i | \(0.296674\pi\) | ||||
−0.596207 | + | 0.802831i | \(0.703326\pi\) | |||||||
\(702\) | −6687.84 | − | 13887.4i | −0.359567 | − | 0.746649i | ||||
\(703\) | 6175.32 | + | 7743.60i | 0.331304 | + | 0.415442i | ||||
\(704\) | − | 689.968i | − | 0.0369377i | ||||||
\(705\) | −8722.16 | −0.465951 | ||||||||
\(706\) | −24157.4 | − | 5513.77i | −1.28779 | − | 0.293929i | ||||
\(707\) | −17505.5 | − | 21951.3i | −0.931208 | − | 1.16770i | ||||
\(708\) | 1003.84 | + | 2084.49i | 0.0532861 | + | 0.110650i | ||||
\(709\) | −5441.77 | − | 11300.0i | −0.288251 | − | 0.598560i | 0.705684 | − | 0.708527i | \(-0.250640\pi\) |
−0.993935 | + | 0.109967i | \(0.964926\pi\) | |||||||
\(710\) | 7859.40 | + | 6267.67i | 0.415434 | + | 0.331298i | ||||
\(711\) | 4652.88i | 0.245424i | ||||||||
\(712\) | −8506.30 | + | 4096.42i | −0.447734 | + | 0.215618i | ||||
\(713\) | −3580.01 | − | 7433.97i | −0.188040 | − | 0.390469i | ||||
\(714\) | 6885.74 | + | 5491.19i | 0.360914 | + | 0.287819i | ||||
\(715\) | −33742.2 | + | 26908.5i | −1.76488 | + | 1.40744i | ||||
\(716\) | 13651.7 | − | 3115.91i | 0.712553 | − | 0.162636i | ||||
\(717\) | −3726.90 | + | 7738.98i | −0.194119 | + | 0.403093i | ||||
\(718\) | −7381.37 | − | 3554.68i | −0.383663 | − | 0.184763i | ||||
\(719\) | − | 8825.89i | − | 0.457789i | −0.973451 | − | 0.228894i | \(-0.926489\pi\) | ||
0.973451 | − | 0.228894i | \(-0.0735110\pi\) | |||||||
\(720\) | − | 25984.3i | − | 1.34497i | ||||||
\(721\) | −10455.7 | + | 8338.17i | −0.540072 | + | 0.430693i | ||||
\(722\) | 21726.8 | − | 4958.99i | 1.11993 | − | 0.255616i | ||||
\(723\) | 2703.55 | − | 1301.96i | 0.139068 | − | 0.0669715i | ||||
\(724\) | −813.120 | + | 3562.51i | −0.0417395 | + | 0.182873i | ||||
\(725\) | −6689.69 | + | 8388.61i | −0.342688 | + | 0.429717i | ||||
\(726\) | −11709.3 | + | 5638.88i | −0.598583 | + | 0.288262i | ||||
\(727\) | −1267.22 | − | 5552.07i | −0.0646475 | − | 0.283239i | 0.932263 | − | 0.361780i | \(-0.117831\pi\) |
−0.996911 | + | 0.0785411i | \(0.974974\pi\) | |||||||
\(728\) | 2368.75 | − | 10378.2i | 0.120593 | − | 0.528352i | ||||
\(729\) | −2117.18 | − | 9275.95i | −0.107564 | − | 0.471267i | ||||
\(730\) | −11207.1 | − | 23271.7i | −0.568209 | − | 1.17990i | ||||
\(731\) | 17735.7 | + | 4048.05i | 0.897371 | + | 0.204819i | ||||
\(732\) | −1001.29 | − | 2079.20i | −0.0505584 | − | 0.104986i | ||||
\(733\) | −702.632 | + | 3078.43i | −0.0354056 | + | 0.155122i | −0.989541 | − | 0.144255i | \(-0.953922\pi\) |
0.954135 | + | 0.299377i | \(0.0967787\pi\) | |||||||
\(734\) | 8940.38 | + | 4305.46i | 0.449585 | + | 0.216509i | ||||
\(735\) | 1949.18 | − | 938.676i | 0.0978185 | − | 0.0471069i | ||||
\(736\) | −10284.0 | − | 2347.26i | −0.515047 | − | 0.117556i | ||||
\(737\) | 4112.94 | − | 5157.47i | 0.205566 | − | 0.257772i | ||||
\(738\) | −20234.0 | − | 16136.1i | −1.00925 | − | 0.804847i | ||||
\(739\) | −7735.03 | − | 3724.99i | −0.385031 | − | 0.185421i | 0.231348 | − | 0.972871i | \(-0.425687\pi\) |
−0.616378 | + | 0.787450i | \(0.711401\pi\) | |||||||
\(740\) | −19671.1 | + | 15687.2i | −0.977196 | + | 0.779288i | ||||
\(741\) | 1211.39 | + | 1519.04i | 0.0600562 | + | 0.0753081i | ||||
\(742\) | −5047.78 | − | 10481.8i | −0.249744 | − | 0.518598i | ||||
\(743\) | 25554.0 | − | 20378.6i | 1.26176 | − | 1.00622i | 0.262610 | − | 0.964902i | \(-0.415417\pi\) |
0.999146 | − | 0.0413152i | \(-0.0131548\pi\) | |||||||
\(744\) | 2214.91 | − | 1766.33i | 0.109143 | − | 0.0870387i | ||||
\(745\) | −6442.45 | − | 28226.2i | −0.316823 | − | 1.38809i | ||||
\(746\) | 10359.3 | − | 45387.1i | 0.508420 | − | 2.22753i | ||||
\(747\) | 4971.73 | + | 2394.26i | 0.243516 | + | 0.117271i | ||||
\(748\) | 5981.42 | + | 26206.3i | 0.292383 | + | 1.28101i | ||||
\(749\) | −4426.74 | − | 5550.96i | −0.215954 | − | 0.270798i | ||||
\(750\) | −5305.75 | + | 1211.00i | −0.258318 | + | 0.0589595i | ||||
\(751\) | −17768.1 | − | 22280.4i | −0.863337 | − | 1.08259i | −0.995814 | − | 0.0914039i | \(-0.970865\pi\) |
0.132477 | − | 0.991186i | \(-0.457707\pi\) | |||||||
\(752\) | 33047.3 | 1.60254 | ||||||||
\(753\) | 3539.42 | + | 2822.59i | 0.171293 | + | 0.136602i | ||||
\(754\) | 8737.31 | − | 38280.6i | 0.422008 | − | 1.84894i | ||||
\(755\) | −26424.8 | −1.27377 | ||||||||
\(756\) | 2396.44 | − | 4976.26i | 0.115288 | − | 0.239398i | ||||
\(757\) | 36703.0 | − | 8377.22i | 1.76221 | − | 0.402213i | 0.785859 | − | 0.618406i | \(-0.212221\pi\) |
0.976351 | + | 0.216193i | \(0.0693640\pi\) | |||||||
\(758\) | 11797.6 | − | 24497.9i | 0.565312 | − | 1.17388i | ||||
\(759\) | −1262.32 | − | 5530.56i | −0.0603678 | − | 0.264488i | ||||
\(760\) | 862.974 | + | 3780.94i | 0.0411886 | + | 0.180459i | ||||
\(761\) | 16770.0 | + | 13373.6i | 0.798831 | + | 0.637047i | 0.935403 | − | 0.353583i | \(-0.115037\pi\) |
−0.136572 | + | 0.990630i | \(0.543608\pi\) | |||||||
\(762\) | 7705.60 | + | 3710.82i | 0.366331 | + | 0.176416i | ||||
\(763\) | 5635.03 | + | 7066.11i | 0.267368 | + | 0.335269i | ||||
\(764\) | 14300.3 | − | 6886.68i | 0.677183 | − | 0.326114i | ||||
\(765\) | −7373.12 | − | 32303.8i | −0.348465 | − | 1.52673i | ||||
\(766\) | 46677.3 | − | 22478.6i | 2.20172 | − | 1.06029i | ||||