Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [216,3,Mod(5,216)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(216, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 9, 5]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("216.5");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 216 = 2^{3} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 216.x (of order \(18\), 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: | \(5.88557371018\) |
Analytic rank: | \(0\) |
Dimension: | \(420\) |
Relative dimension: | \(70\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 5.2 | ||
Character | \(\chi\) | \(=\) | 216.5 |
Dual form | 216.3.x.a.173.2 |
$q$-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 \(\left(\mathbb{Z}/216\mathbb{Z}\right)^\times\).
\(n\) | \(55\) | \(109\) | \(137\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{5}{18}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.98021 | + | 0.280686i | −0.990103 | + | 0.140343i | ||||
\(3\) | −1.96788 | + | 2.26438i | −0.655961 | + | 0.754795i | ||||
\(4\) | 3.84243 | − | 1.11163i | 0.960608 | − | 0.277908i | ||||
\(5\) | 8.66971 | − | 3.15552i | 1.73394 | − | 0.631103i | 0.735044 | − | 0.678020i | \(-0.237162\pi\) |
0.998899 | + | 0.0469162i | \(0.0149394\pi\) | |||||||
\(6\) | 3.26123 | − | 5.03630i | 0.543539 | − | 0.839384i | ||||
\(7\) | −0.680238 | − | 3.85782i | −0.0971769 | − | 0.551118i | −0.994059 | − | 0.108847i | \(-0.965284\pi\) |
0.896882 | − | 0.442271i | \(-0.145827\pi\) | |||||||
\(8\) | −7.29678 | + | 3.27978i | −0.912098 | + | 0.409973i | ||||
\(9\) | −1.25487 | − | 8.91209i | −0.139430 | − | 0.990232i | ||||
\(10\) | −16.2821 | + | 8.68204i | −1.62821 | + | 0.868204i | ||||
\(11\) | −9.73105 | − | 3.54181i | −0.884641 | − | 0.321983i | −0.140560 | − | 0.990072i | \(-0.544890\pi\) |
−0.744081 | + | 0.668089i | \(0.767112\pi\) | |||||||
\(12\) | −5.04429 | + | 10.8883i | −0.420358 | + | 0.907359i | ||||
\(13\) | 5.92748 | − | 7.06410i | 0.455960 | − | 0.543392i | −0.488264 | − | 0.872696i | \(-0.662370\pi\) |
0.944224 | + | 0.329304i | \(0.106814\pi\) | |||||||
\(14\) | 2.42985 | + | 7.44835i | 0.173561 | + | 0.532025i | ||||
\(15\) | −9.91568 | + | 25.8412i | −0.661046 | + | 1.72275i | ||||
\(16\) | 13.5285 | − | 8.54275i | 0.845534 | − | 0.533922i | ||||
\(17\) | −27.6417 | − | 15.9589i | −1.62598 | − | 0.938761i | −0.985275 | − | 0.170975i | \(-0.945308\pi\) |
−0.640706 | − | 0.767786i | \(-0.721358\pi\) | |||||||
\(18\) | 4.98640 | + | 17.2955i | 0.277022 | + | 0.960864i | ||||
\(19\) | 0.562002 | − | 0.324472i | 0.0295790 | − | 0.0170775i | −0.485138 | − | 0.874438i | \(-0.661230\pi\) |
0.514717 | + | 0.857360i | \(0.327897\pi\) | |||||||
\(20\) | 29.8050 | − | 21.7624i | 1.49025 | − | 1.08812i | ||||
\(21\) | 10.0742 | + | 6.05143i | 0.479725 | + | 0.288163i | ||||
\(22\) | 20.2636 | + | 4.28214i | 0.921073 | + | 0.194643i | ||||
\(23\) | −2.10097 | − | 0.370458i | −0.0913467 | − | 0.0161069i | 0.127788 | − | 0.991802i | \(-0.459212\pi\) |
−0.219135 | + | 0.975695i | \(0.570323\pi\) | |||||||
\(24\) | 6.93253 | − | 22.9769i | 0.288856 | − | 0.957373i | ||||
\(25\) | 46.0555 | − | 38.6452i | 1.84222 | − | 1.54581i | ||||
\(26\) | −9.75484 | + | 15.6521i | −0.375186 | + | 0.602005i | ||||
\(27\) | 22.6498 | + | 14.6965i | 0.838882 | + | 0.544313i | ||||
\(28\) | −6.90225 | − | 14.0672i | −0.246509 | − | 0.502401i | ||||
\(29\) | 8.17972 | − | 6.86360i | 0.282059 | − | 0.236676i | −0.490771 | − | 0.871289i | \(-0.663285\pi\) |
0.772830 | + | 0.634613i | \(0.218840\pi\) | |||||||
\(30\) | 12.3818 | − | 53.9542i | 0.412727 | − | 1.79847i | ||||
\(31\) | 9.84529 | − | 55.8354i | 0.317590 | − | 1.80114i | −0.239725 | − | 0.970841i | \(-0.577057\pi\) |
0.557315 | − | 0.830301i | \(-0.311832\pi\) | |||||||
\(32\) | −24.3915 | + | 20.7137i | −0.762233 | + | 0.647303i | ||||
\(33\) | 27.1696 | − | 15.0650i | 0.823321 | − | 0.456514i | ||||
\(34\) | 59.2157 | + | 23.8433i | 1.74164 | + | 0.701274i | ||||
\(35\) | −18.0709 | − | 31.2997i | −0.516311 | − | 0.894277i | ||||
\(36\) | −14.7287 | − | 32.8491i | −0.409131 | − | 0.912476i | ||||
\(37\) | 39.0031 | + | 22.5185i | 1.05414 | + | 0.608607i | 0.923805 | − | 0.382863i | \(-0.125062\pi\) |
0.130333 | + | 0.991470i | \(0.458395\pi\) | |||||||
\(38\) | −1.02180 | + | 0.800267i | −0.0268896 | + | 0.0210597i | ||||
\(39\) | 4.33123 | + | 27.3234i | 0.111057 | + | 0.700601i | ||||
\(40\) | −52.9116 | + | 51.4599i | −1.32279 | + | 1.28650i | ||||
\(41\) | −15.1775 | + | 18.0879i | −0.370184 | + | 0.441168i | −0.918690 | − | 0.394978i | \(-0.870752\pi\) |
0.548507 | + | 0.836146i | \(0.315197\pi\) | |||||||
\(42\) | −21.6476 | − | 9.15537i | −0.515419 | − | 0.217985i | ||||
\(43\) | −17.1234 | + | 47.0461i | −0.398218 | + | 1.09410i | 0.564933 | + | 0.825136i | \(0.308902\pi\) |
−0.963152 | + | 0.268959i | \(0.913320\pi\) | |||||||
\(44\) | −41.3281 | − | 2.79180i | −0.939274 | − | 0.0634500i | ||||
\(45\) | −39.0016 | − | 73.3055i | −0.866702 | − | 1.62901i | ||||
\(46\) | 4.26434 | + | 0.143869i | 0.0927031 | + | 0.00312759i | ||||
\(47\) | −11.8961 | + | 2.09761i | −0.253109 | + | 0.0446299i | −0.298763 | − | 0.954327i | \(-0.596574\pi\) |
0.0456539 | + | 0.998957i | \(0.485463\pi\) | |||||||
\(48\) | −7.27853 | + | 47.4449i | −0.151636 | + | 0.988436i | ||||
\(49\) | 31.6249 | − | 11.5105i | 0.645405 | − | 0.234908i | ||||
\(50\) | −80.3522 | + | 89.4525i | −1.60704 | + | 1.78905i | ||||
\(51\) | 90.5328 | − | 31.1861i | 1.77515 | − | 0.611491i | ||||
\(52\) | 14.9233 | − | 33.7325i | 0.286986 | − | 0.648702i | ||||
\(53\) | −12.7638 | −0.240826 | −0.120413 | − | 0.992724i | \(-0.538422\pi\) | ||||
−0.120413 | + | 0.992724i | \(0.538422\pi\) | |||||||
\(54\) | −48.9764 | − | 22.7445i | −0.906970 | − | 0.421195i | ||||
\(55\) | −95.5416 | −1.73712 | ||||||||
\(56\) | 17.6164 | + | 25.9187i | 0.314578 | + | 0.462833i | ||||
\(57\) | −0.371225 | + | 1.91111i | −0.00651272 | + | 0.0335283i | ||||
\(58\) | −14.2710 | + | 15.8873i | −0.246052 | + | 0.273918i | ||||
\(59\) | 58.3990 | − | 21.2555i | 0.989813 | − | 0.360263i | 0.204165 | − | 0.978936i | \(-0.434552\pi\) |
0.785648 | + | 0.618674i | \(0.212330\pi\) | |||||||
\(60\) | −9.37432 | + | 110.316i | −0.156239 | + | 1.83860i | ||||
\(61\) | −42.4438 | + | 7.48398i | −0.695799 | + | 0.122688i | −0.510352 | − | 0.859966i | \(-0.670485\pi\) |
−0.185448 | + | 0.982654i | \(0.559374\pi\) | |||||||
\(62\) | −3.82346 | + | 113.329i | −0.0616686 | + | 1.82789i | ||||
\(63\) | −33.5276 | + | 10.9034i | −0.532185 | + | 0.173070i | ||||
\(64\) | 42.4861 | − | 47.8637i | 0.663845 | − | 0.747870i | ||||
\(65\) | 29.0987 | − | 79.9480i | 0.447672 | − | 1.22997i | ||||
\(66\) | −49.5729 | + | 37.4578i | −0.751104 | + | 0.567543i | ||||
\(67\) | 11.4303 | − | 13.6221i | 0.170601 | − | 0.203315i | −0.673969 | − | 0.738760i | \(-0.735412\pi\) |
0.844570 | + | 0.535445i | \(0.179856\pi\) | |||||||
\(68\) | −123.952 | − | 30.5937i | −1.82282 | − | 0.449907i | ||||
\(69\) | 4.97333 | − | 4.02839i | 0.0720773 | − | 0.0583825i | ||||
\(70\) | 44.5695 | + | 56.9076i | 0.636707 | + | 0.812966i | ||||
\(71\) | 19.1726 | + | 11.0693i | 0.270037 | + | 0.155906i | 0.628904 | − | 0.777483i | \(-0.283504\pi\) |
−0.358867 | + | 0.933389i | \(0.616837\pi\) | |||||||
\(72\) | 38.3862 | + | 60.9139i | 0.533142 | + | 0.846026i | ||||
\(73\) | 53.0930 | + | 91.9597i | 0.727301 | + | 1.25972i | 0.958020 | + | 0.286702i | \(0.0925589\pi\) |
−0.230719 | + | 0.973020i | \(0.574108\pi\) | |||||||
\(74\) | −83.5548 | − | 33.6435i | −1.12912 | − | 0.454642i | ||||
\(75\) | −3.12442 | + | 180.337i | −0.0416589 | + | 2.40449i | ||||
\(76\) | 1.79876 | − | 1.87150i | 0.0236679 | − | 0.0246250i | ||||
\(77\) | −7.04425 | + | 39.9499i | −0.0914838 | + | 0.518830i | ||||
\(78\) | −16.2461 | − | 52.8903i | −0.208283 | − | 0.678081i | ||||
\(79\) | 73.2113 | − | 61.4316i | 0.926726 | − | 0.777615i | −0.0485010 | − | 0.998823i | \(-0.515444\pi\) |
0.975227 | + | 0.221208i | \(0.0710000\pi\) | |||||||
\(80\) | 90.3318 | − | 116.753i | 1.12915 | − | 1.45941i | ||||
\(81\) | −77.8506 | + | 22.3670i | −0.961119 | + | 0.276135i | ||||
\(82\) | 24.9776 | − | 40.0779i | 0.304605 | − | 0.488754i | ||||
\(83\) | 17.4066 | − | 14.6058i | 0.209718 | − | 0.175974i | −0.531878 | − | 0.846821i | \(-0.678514\pi\) |
0.741596 | + | 0.670847i | \(0.234069\pi\) | |||||||
\(84\) | 45.4365 | + | 12.0533i | 0.540910 | + | 0.143492i | ||||
\(85\) | −290.004 | − | 51.1356i | −3.41181 | − | 0.601595i | ||||
\(86\) | 20.7026 | − | 97.9673i | 0.240728 | − | 1.13915i | ||||
\(87\) | −0.554914 | + | 32.0288i | −0.00637832 | + | 0.368147i | ||||
\(88\) | 82.6217 | − | 6.07189i | 0.938883 | − | 0.0689987i | ||||
\(89\) | 104.861 | − | 60.5417i | 1.17822 | − | 0.680244i | 0.222616 | − | 0.974906i | \(-0.428540\pi\) |
0.955602 | + | 0.294662i | \(0.0952070\pi\) | |||||||
\(90\) | 97.8070 | + | 134.213i | 1.08674 | + | 1.49125i | ||||
\(91\) | −31.2842 | − | 18.0619i | −0.343782 | − | 0.198483i | ||||
\(92\) | −8.48466 | + | 0.912053i | −0.0922246 | + | 0.00991362i | ||||
\(93\) | 107.058 | + | 132.171i | 1.15117 | + | 1.42119i | ||||
\(94\) | 22.9680 | − | 7.49277i | 0.244340 | − | 0.0797104i | ||||
\(95\) | 3.84852 | − | 4.58648i | 0.0405107 | − | 0.0482788i | ||||
\(96\) | 1.09583 | − | 95.9937i | 0.0114149 | − | 0.999935i | ||||
\(97\) | −113.618 | − | 41.3534i | −1.17132 | − | 0.426324i | −0.318189 | − | 0.948027i | \(-0.603075\pi\) |
−0.853127 | + | 0.521703i | \(0.825297\pi\) | |||||||
\(98\) | −59.3929 | + | 31.6698i | −0.606050 | + | 0.323162i | ||||
\(99\) | −19.3538 | + | 91.1685i | −0.195493 | + | 0.920893i | ||||
\(100\) | 134.006 | − | 199.688i | 1.34006 | − | 1.99688i | ||||
\(101\) | 3.67262 | + | 20.8285i | 0.0363626 | + | 0.206222i | 0.997576 | − | 0.0695825i | \(-0.0221667\pi\) |
−0.961214 | + | 0.275805i | \(0.911056\pi\) | |||||||
\(102\) | −170.520 | + | 87.1661i | −1.67177 | + | 0.854570i | ||||
\(103\) | −129.484 | + | 47.1282i | −1.25712 | + | 0.457555i | −0.882802 | − | 0.469745i | \(-0.844346\pi\) |
−0.374320 | + | 0.927300i | \(0.622124\pi\) | |||||||
\(104\) | −20.0829 | + | 70.9861i | −0.193104 | + | 0.682558i | ||||
\(105\) | 106.436 | + | 20.6748i | 1.01368 | + | 0.196902i | ||||
\(106\) | 25.2749 | − | 3.58262i | 0.238443 | − | 0.0337983i | ||||
\(107\) | −57.5776 | −0.538109 | −0.269054 | − | 0.963125i | \(-0.586711\pi\) | ||||
−0.269054 | + | 0.963125i | \(0.586711\pi\) | |||||||
\(108\) | 103.367 | + | 31.2918i | 0.957106 | + | 0.289739i | ||||
\(109\) | 5.13351i | 0.0470964i | 0.999723 | + | 0.0235482i | \(0.00749632\pi\) | ||||
−0.999723 | + | 0.0235482i | \(0.992504\pi\) | |||||||
\(110\) | 189.192 | − | 26.8172i | 1.71993 | − | 0.243793i | ||||
\(111\) | −127.744 | + | 44.0043i | −1.15085 | + | 0.396435i | ||||
\(112\) | −42.1591 | − | 46.3796i | −0.376420 | − | 0.414104i | ||||
\(113\) | 8.16742 | + | 22.4398i | 0.0722781 | + | 0.198582i | 0.970571 | − | 0.240814i | \(-0.0774145\pi\) |
−0.898293 | + | 0.439397i | \(0.855192\pi\) | |||||||
\(114\) | 0.198680 | − | 3.88859i | 0.00174280 | − | 0.0341104i | ||||
\(115\) | −19.3838 | + | 3.41789i | −0.168555 | + | 0.0297208i | ||||
\(116\) | 23.8002 | − | 35.4657i | 0.205174 | − | 0.305739i | ||||
\(117\) | −70.3941 | − | 43.9618i | −0.601659 | − | 0.375742i | ||||
\(118\) | −109.676 | + | 58.4821i | −0.929457 | + | 0.495611i | ||||
\(119\) | −42.7638 | + | 117.493i | −0.359360 | + | 0.987333i | ||||
\(120\) | −12.4011 | − | 221.079i | −0.103342 | − | 1.84233i | ||||
\(121\) | −10.5425 | − | 8.84622i | −0.0871282 | − | 0.0731093i | ||||
\(122\) | 81.9467 | − | 26.7332i | 0.671695 | − | 0.219125i | ||||
\(123\) | −11.0903 | − | 69.9626i | −0.0901649 | − | 0.568802i | ||||
\(124\) | −24.2387 | − | 225.488i | −0.195473 | − | 1.81845i | ||||
\(125\) | 162.016 | − | 280.620i | 1.29613 | − | 2.24496i | ||||
\(126\) | 63.3312 | − | 31.0017i | 0.502629 | − | 0.246045i | ||||
\(127\) | 51.5334 | + | 89.2585i | 0.405775 | + | 0.702822i | 0.994411 | − | 0.105575i | \(-0.0336684\pi\) |
−0.588637 | + | 0.808398i | \(0.700335\pi\) | |||||||
\(128\) | −70.6964 | + | 106.705i | −0.552316 | + | 0.833635i | ||||
\(129\) | −72.8336 | − | 131.355i | −0.564602 | − | 1.01826i | ||||
\(130\) | −35.1811 | + | 166.481i | −0.270624 | + | 1.28062i | ||||
\(131\) | −28.6637 | + | 162.560i | −0.218807 | + | 1.24092i | 0.655370 | + | 0.755308i | \(0.272513\pi\) |
−0.874177 | + | 0.485608i | \(0.838598\pi\) | |||||||
\(132\) | 87.6505 | − | 88.0887i | 0.664019 | − | 0.667338i | ||||
\(133\) | −1.63405 | − | 1.94738i | −0.0122861 | − | 0.0146420i | ||||
\(134\) | −18.8108 | + | 30.1828i | −0.140379 | + | 0.225245i | ||||
\(135\) | 242.742 | + | 55.9421i | 1.79809 | + | 0.414386i | ||||
\(136\) | 254.037 | + | 25.7902i | 1.86792 | + | 0.189634i | ||||
\(137\) | 47.0817 | + | 56.1098i | 0.343662 | + | 0.409560i | 0.909997 | − | 0.414615i | \(-0.136084\pi\) |
−0.566335 | + | 0.824175i | \(0.691639\pi\) | |||||||
\(138\) | −8.71751 | + | 9.37299i | −0.0631703 | + | 0.0679202i | ||||
\(139\) | 104.420 | + | 18.4121i | 0.751224 | + | 0.132461i | 0.536134 | − | 0.844133i | \(-0.319884\pi\) |
0.215090 | + | 0.976594i | \(0.430995\pi\) | |||||||
\(140\) | −104.230 | − | 100.179i | −0.744500 | − | 0.715562i | ||||
\(141\) | 18.6604 | − | 31.0652i | 0.132343 | − | 0.220321i | ||||
\(142\) | −41.0727 | − | 16.5380i | −0.289245 | − | 0.116465i | ||||
\(143\) | −82.7004 | + | 47.7471i | −0.578324 | + | 0.333896i | ||||
\(144\) | −93.1103 | − | 109.848i | −0.646599 | − | 0.762830i | ||||
\(145\) | 49.2576 | − | 85.3166i | 0.339707 | − | 0.588391i | ||||
\(146\) | −130.947 | − | 167.197i | −0.896896 | − | 1.14518i | ||||
\(147\) | −36.1698 | + | 94.2622i | −0.246053 | + | 0.641239i | ||||
\(148\) | 174.899 | + | 43.1684i | 1.18175 | + | 0.291679i | ||||
\(149\) | −46.4763 | − | 38.9982i | −0.311921 | − | 0.261733i | 0.473364 | − | 0.880867i | \(-0.343039\pi\) |
−0.785286 | + | 0.619134i | \(0.787484\pi\) | |||||||
\(150\) | −44.4310 | − | 357.981i | −0.296207 | − | 2.38654i | ||||
\(151\) | 135.099 | + | 49.1720i | 0.894696 | + | 0.325643i | 0.748125 | − | 0.663558i | \(-0.230954\pi\) |
0.146571 | + | 0.989200i | \(0.453176\pi\) | |||||||
\(152\) | −3.03661 | + | 4.21084i | −0.0199777 | + | 0.0277029i | ||||
\(153\) | −107.541 | + | 266.371i | −0.702881 | + | 1.74099i | ||||
\(154\) | 2.73566 | − | 81.0863i | 0.0177640 | − | 0.526535i | ||||
\(155\) | −90.8338 | − | 515.144i | −0.586024 | − | 3.32351i | ||||
\(156\) | 47.0161 | + | 100.174i | 0.301385 | + | 0.642139i | ||||
\(157\) | 23.9849 | + | 65.8979i | 0.152770 | + | 0.419732i | 0.992343 | − | 0.123515i | \(-0.0394168\pi\) |
−0.839573 | + | 0.543247i | \(0.817195\pi\) | |||||||
\(158\) | −127.730 | + | 142.197i | −0.808421 | + | 0.899979i | ||||
\(159\) | 25.1177 | − | 28.9021i | 0.157973 | − | 0.181774i | ||||
\(160\) | −146.105 | + | 256.549i | −0.913154 | + | 1.60343i | ||||
\(161\) | 8.35719i | 0.0519080i | ||||||||
\(162\) | 147.882 | − | 66.1428i | 0.912853 | − | 0.408289i | ||||
\(163\) | − | 276.197i | − | 1.69446i | −0.531227 | − | 0.847229i | \(-0.678269\pi\) | ||
0.531227 | − | 0.847229i | \(-0.321731\pi\) | |||||||
\(164\) | −38.2115 | + | 86.3733i | −0.232997 | + | 0.526667i | ||||
\(165\) | 188.015 | − | 216.343i | 1.13948 | − | 1.31117i | ||||
\(166\) | −30.3689 | + | 33.8084i | −0.182945 | + | 0.203665i | ||||
\(167\) | 38.7800 | + | 106.547i | 0.232215 | + | 0.638007i | 0.999996 | − | 0.00270572i | \(-0.000861258\pi\) |
−0.767781 | + | 0.640713i | \(0.778639\pi\) | |||||||
\(168\) | −93.3568 | − | 11.1147i | −0.555695 | − | 0.0661589i | ||||
\(169\) | 14.5801 | + | 82.6878i | 0.0862727 | + | 0.489277i | ||||
\(170\) | 588.621 | + | 19.8587i | 3.46248 | + | 0.116816i | ||||
\(171\) | −3.59696 | − | 4.60144i | −0.0210348 | − | 0.0269090i | ||||
\(172\) | −13.4974 | + | 199.806i | −0.0784730 | + | 1.16166i | ||||
\(173\) | 116.502 | + | 42.4032i | 0.673421 | + | 0.245105i | 0.656020 | − | 0.754743i | \(-0.272239\pi\) |
0.0174009 | + | 0.999849i | \(0.494461\pi\) | |||||||
\(174\) | −7.89120 | − | 63.5793i | −0.0453517 | − | 0.365398i | ||||
\(175\) | −180.415 | − | 151.386i | −1.03094 | − | 0.865063i | ||||
\(176\) | −161.904 | + | 35.2144i | −0.919907 | + | 0.200082i | ||||
\(177\) | −66.7918 | + | 174.066i | −0.377355 | + | 0.983424i | ||||
\(178\) | −190.654 | + | 149.318i | −1.07109 | + | 0.838867i | ||||
\(179\) | −32.4312 | + | 56.1725i | −0.181180 | + | 0.313813i | −0.942283 | − | 0.334818i | \(-0.891325\pi\) |
0.761103 | + | 0.648631i | \(0.224658\pi\) | |||||||
\(180\) | −231.350 | − | 238.316i | −1.28528 | − | 1.32398i | ||||
\(181\) | −135.565 | + | 78.2687i | −0.748980 | + | 0.432424i | −0.825325 | − | 0.564657i | \(-0.809008\pi\) |
0.0763450 | + | 0.997081i | \(0.475675\pi\) | |||||||
\(182\) | 67.0188 | + | 26.9853i | 0.368235 | + | 0.148271i | ||||
\(183\) | 66.5778 | − | 110.837i | 0.363813 | − | 0.605664i | ||||
\(184\) | 16.5454 | − | 4.18758i | 0.0899205 | − | 0.0227586i | ||||
\(185\) | 409.203 | + | 72.1536i | 2.21191 | + | 0.390019i | ||||
\(186\) | −249.096 | − | 231.676i | −1.33923 | − | 1.24557i | ||||
\(187\) | 212.459 | + | 253.199i | 1.13614 | + | 1.35400i | ||||
\(188\) | −43.3782 | + | 21.2840i | −0.230735 | + | 0.113213i | ||||
\(189\) | 41.2890 | − | 97.3761i | 0.218461 | − | 0.515217i | ||||
\(190\) | −6.33349 | + | 10.1624i | −0.0333342 | + | 0.0534864i | ||||
\(191\) | −229.963 | − | 274.060i | −1.20400 | − | 1.43487i | −0.870538 | − | 0.492102i | \(-0.836229\pi\) |
−0.333458 | − | 0.942765i | \(-0.608216\pi\) | |||||||
\(192\) | 24.7742 | + | 190.395i | 0.129032 | + | 0.991640i | ||||
\(193\) | 1.66315 | − | 9.43220i | 0.00861737 | − | 0.0488715i | −0.980196 | − | 0.198030i | \(-0.936546\pi\) |
0.988813 | + | 0.149159i | \(0.0476566\pi\) | |||||||
\(194\) | 236.594 | + | 49.9974i | 1.21956 | + | 0.257719i | ||||
\(195\) | 123.770 | + | 223.219i | 0.634719 | + | 1.14471i | ||||
\(196\) | 108.721 | − | 79.3836i | 0.554698 | − | 0.405018i | ||||
\(197\) | 149.551 | + | 259.030i | 0.759143 | + | 1.31487i | 0.943288 | + | 0.331976i | \(0.107715\pi\) |
−0.184145 | + | 0.982899i | \(0.558951\pi\) | |||||||
\(198\) | 12.7347 | − | 185.965i | 0.0643166 | − | 0.939215i | ||||
\(199\) | 35.2631 | − | 61.0775i | 0.177202 | − | 0.306922i | −0.763719 | − | 0.645548i | \(-0.776629\pi\) |
0.940921 | + | 0.338626i | \(0.109962\pi\) | |||||||
\(200\) | −209.309 | + | 433.037i | −1.04655 | + | 2.16519i | ||||
\(201\) | 8.35215 | + | 52.6892i | 0.0415530 | + | 0.262135i | ||||
\(202\) | −13.1188 | − | 40.2138i | −0.0649446 | − | 0.199078i | ||||
\(203\) | −32.0427 | − | 26.8870i | −0.157846 | − | 0.132448i | ||||
\(204\) | 313.198 | − | 220.470i | 1.53529 | − | 1.08073i | ||||
\(205\) | −74.5083 | + | 204.710i | −0.363455 | + | 0.998584i | ||||
\(206\) | 243.176 | − | 129.668i | 1.18047 | − | 0.629455i | ||||
\(207\) | −0.665115 | + | 19.1889i | −0.00321311 | + | 0.0927002i | ||||
\(208\) | 19.8434 | − | 146.204i | 0.0954008 | − | 0.702904i | ||||
\(209\) | −6.61808 | + | 1.16695i | −0.0316655 | + | 0.00558348i | ||||
\(210\) | −216.568 | − | 11.0651i | −1.03128 | − | 0.0526911i | ||||
\(211\) | −28.6804 | − | 78.7989i | −0.135926 | − | 0.373454i | 0.852990 | − | 0.521927i | \(-0.174787\pi\) |
−0.988917 | + | 0.148472i | \(0.952564\pi\) | |||||||
\(212\) | −49.0440 | + | 14.1887i | −0.231340 | + | 0.0669277i | ||||
\(213\) | −62.7947 | + | 21.6310i | −0.294811 | + | 0.101554i | ||||
\(214\) | 114.016 | − | 16.1613i | 0.532783 | − | 0.0755199i | ||||
\(215\) | 461.909i | 2.14842i | ||||||||
\(216\) | −213.472 | − | 32.9503i | −0.988296 | − | 0.152548i | ||||
\(217\) | −222.100 | −1.02350 | ||||||||
\(218\) | −1.44091 | − | 10.1654i | −0.00660966 | − | 0.0466303i | ||||
\(219\) | −312.713 | − | 60.7432i | −1.42791 | − | 0.277366i | ||||
\(220\) | −367.112 | + | 106.207i | −1.66869 | + | 0.482761i | ||||
\(221\) | −276.581 | + | 100.667i | −1.25150 | + | 0.455508i | ||||
\(222\) | 240.608 | − | 122.994i | 1.08382 | − | 0.554025i | ||||
\(223\) | 7.40825 | + | 42.0143i | 0.0332209 | + | 0.188405i | 0.996902 | − | 0.0786495i | \(-0.0250608\pi\) |
−0.963681 | + | 0.267054i | \(0.913950\pi\) | |||||||
\(224\) | 96.5017 | + | 80.0077i | 0.430811 | + | 0.357177i | ||||
\(225\) | −402.203 | − | 361.956i | −1.78757 | − | 1.60869i | ||||
\(226\) | −22.4717 | − | 42.1430i | −0.0994324 | − | 0.186473i | ||||
\(227\) | −70.3185 | − | 25.5939i | −0.309773 | − | 0.112748i | 0.182455 | − | 0.983214i | \(-0.441595\pi\) |
−0.492229 | + | 0.870466i | \(0.663818\pi\) | |||||||
\(228\) | 0.698048 | + | 7.75598i | 0.00306161 | + | 0.0340174i | ||||
\(229\) | −255.084 | + | 303.997i | −1.11390 | + | 1.32750i | −0.174510 | + | 0.984655i | \(0.555834\pi\) |
−0.939393 | + | 0.342842i | \(0.888610\pi\) | |||||||
\(230\) | 37.4246 | − | 12.2089i | 0.162716 | − | 0.0530822i | ||||
\(231\) | −76.5997 | − | 94.5677i | −0.331600 | − | 0.409384i | ||||
\(232\) | −37.1745 | + | 76.9098i | −0.160235 | + | 0.331508i | ||||
\(233\) | −255.444 | − | 147.480i | −1.09632 | − | 0.632963i | −0.161071 | − | 0.986943i | \(-0.551495\pi\) |
−0.935253 | + | 0.353979i | \(0.884828\pi\) | |||||||
\(234\) | 151.734 | + | 67.2947i | 0.648437 | + | 0.287584i | ||||
\(235\) | −96.5169 | + | 55.7241i | −0.410710 | + | 0.237124i | ||||
\(236\) | 200.766 | − | 146.591i | 0.850702 | − | 0.621148i | ||||
\(237\) | −4.96667 | + | 286.669i | −0.0209564 | + | 1.20957i | ||||
\(238\) | 51.7026 | − | 244.663i | 0.217238 | − | 1.02799i | ||||
\(239\) | 75.8631 | + | 13.3767i | 0.317419 | + | 0.0559695i | 0.330088 | − | 0.943950i | \(-0.392922\pi\) |
−0.0126689 | + | 0.999920i | \(0.504033\pi\) | |||||||
\(240\) | 86.6106 | + | 434.302i | 0.360878 | + | 1.80959i | ||||
\(241\) | −11.3321 | + | 9.50875i | −0.0470211 | + | 0.0394554i | −0.665995 | − | 0.745956i | \(-0.731993\pi\) |
0.618974 | + | 0.785411i | \(0.287549\pi\) | |||||||
\(242\) | 23.3594 | + | 14.5582i | 0.0965263 | + | 0.0601578i | ||||
\(243\) | 102.554 | − | 220.299i | 0.422031 | − | 0.906581i | ||||
\(244\) | −154.768 | + | 75.9386i | −0.634294 | + | 0.311224i | ||||
\(245\) | 237.857 | − | 199.586i | 0.970844 | − | 0.814635i | ||||
\(246\) | 41.5986 | + | 135.428i | 0.169100 | + | 0.550518i | ||||
\(247\) | 1.03915 | − | 5.89334i | 0.00420710 | − | 0.0238597i | ||||
\(248\) | 111.289 | + | 439.709i | 0.448746 | + | 1.77302i | ||||
\(249\) | −1.18087 | + | 68.1577i | −0.00474243 | + | 0.273726i | ||||
\(250\) | −242.059 | + | 601.162i | −0.968236 | + | 2.40465i | ||||
\(251\) | 28.6727 | + | 49.6626i | 0.114234 | + | 0.197859i | 0.917473 | − | 0.397797i | \(-0.130225\pi\) |
−0.803239 | + | 0.595656i | \(0.796892\pi\) | |||||||
\(252\) | −116.707 | + | 79.1660i | −0.463123 | + | 0.314151i | ||||
\(253\) | 19.1326 | + | 11.0462i | 0.0756229 | + | 0.0436609i | ||||
\(254\) | −127.100 | − | 162.285i | −0.500395 | − | 0.638919i | ||||
\(255\) | 686.485 | − | 556.052i | 2.69210 | − | 2.18060i | ||||
\(256\) | 110.043 | − | 231.142i | 0.429855 | − | 0.902898i | ||||
\(257\) | 21.4521 | − | 25.5656i | 0.0834713 | − | 0.0994772i | −0.722692 | − | 0.691170i | \(-0.757096\pi\) |
0.806164 | + | 0.591693i | \(0.201540\pi\) | |||||||
\(258\) | 181.095 | + | 239.667i | 0.701919 | + | 0.928941i | ||||
\(259\) | 60.3408 | − | 165.785i | 0.232976 | − | 0.640097i | ||||
\(260\) | 22.9368 | − | 339.542i | 0.0882184 | − | 1.30593i | ||||
\(261\) | −71.4334 | − | 64.2854i | −0.273691 | − | 0.246304i | ||||
\(262\) | 11.1317 | − | 329.948i | 0.0424873 | − | 1.25934i | ||||
\(263\) | 449.746 | − | 79.3023i | 1.71006 | − | 0.301530i | 0.768869 | − | 0.639406i | \(-0.220820\pi\) |
0.941190 | + | 0.337877i | \(0.109709\pi\) | |||||||
\(264\) | −148.841 | + | 199.036i | −0.563791 | + | 0.753924i | ||||
\(265\) | −110.658 | + | 40.2764i | −0.417579 | + | 0.151986i | ||||
\(266\) | 3.78236 | + | 3.39757i | 0.0142194 | + | 0.0127728i | ||||
\(267\) | −69.2653 | + | 356.586i | −0.259420 | + | 1.33553i | ||||
\(268\) | 28.7773 | − | 65.0482i | 0.107378 | − | 0.242717i | ||||
\(269\) | 186.713 | 0.694101 | 0.347051 | − | 0.937846i | \(-0.387183\pi\) | ||||
0.347051 | + | 0.937846i | \(0.387183\pi\) | |||||||
\(270\) | −496.382 | − | 42.6424i | −1.83845 | − | 0.157935i | ||||
\(271\) | −261.998 | −0.966781 | −0.483391 | − | 0.875405i | \(-0.660595\pi\) | ||||
−0.483391 | + | 0.875405i | \(0.660595\pi\) | |||||||
\(272\) | −510.285 | + | 20.2350i | −1.87605 | + | 0.0743932i | ||||
\(273\) | 102.463 | − | 35.2956i | 0.375321 | − | 0.129288i | ||||
\(274\) | −108.981 | − | 97.8937i | −0.397740 | − | 0.357276i | ||||
\(275\) | −585.042 | + | 212.938i | −2.12743 | + | 0.774320i | ||||
\(276\) | 14.6316 | − | 21.0073i | 0.0530130 | − | 0.0761136i | ||||
\(277\) | 217.239 | − | 38.3051i | 0.784256 | − | 0.138286i | 0.232839 | − | 0.972515i | \(-0.425198\pi\) |
0.551417 | + | 0.834230i | \(0.314087\pi\) | |||||||
\(278\) | −211.941 | − | 7.15040i | −0.762379 | − | 0.0257209i | ||||
\(279\) | −509.965 | − | 17.6761i | −1.82783 | − | 0.0633551i | ||||
\(280\) | 234.516 | + | 169.119i | 0.837556 | + | 0.603995i | ||||
\(281\) | 123.106 | − | 338.230i | 0.438099 | − | 1.20367i | −0.502628 | − | 0.864503i | \(-0.667634\pi\) |
0.940727 | − | 0.339164i | \(-0.110144\pi\) | |||||||
\(282\) | −28.2318 | + | 66.7533i | −0.100113 | + | 0.236714i | ||||
\(283\) | 164.555 | − | 196.109i | 0.581465 | − | 0.692964i | −0.392476 | − | 0.919762i | \(-0.628381\pi\) |
0.973942 | + | 0.226799i | \(0.0728259\pi\) | |||||||
\(284\) | 85.9745 | + | 21.2201i | 0.302727 | + | 0.0747188i | ||||
\(285\) | 2.81213 | + | 17.7402i | 0.00986711 | + | 0.0622463i | ||||
\(286\) | 150.362 | − | 117.762i | 0.525740 | − | 0.411755i | ||||
\(287\) | 80.1042 | + | 46.2482i | 0.279109 | + | 0.161143i | ||||
\(288\) | 215.210 | + | 191.386i | 0.747258 | + | 0.664534i | ||||
\(289\) | 364.875 | + | 631.983i | 1.26254 | + | 2.18679i | ||||
\(290\) | −73.5929 | + | 182.770i | −0.253769 | + | 0.630243i | ||||
\(291\) | 317.226 | − | 175.895i | 1.09013 | − | 0.604451i | ||||
\(292\) | 306.232 | + | 294.329i | 1.04874 | + | 1.00798i | ||||
\(293\) | 36.3263 | − | 206.016i | 0.123980 | − | 0.703128i | −0.857928 | − | 0.513770i | \(-0.828248\pi\) |
0.981908 | − | 0.189358i | \(-0.0606405\pi\) | |||||||
\(294\) | 45.1656 | − | 196.811i | 0.153625 | − | 0.669425i | ||||
\(295\) | 439.230 | − | 368.558i | 1.48892 | − | 1.24935i | ||||
\(296\) | −358.453 | − | 36.3906i | −1.21099 | − | 0.122941i | ||||
\(297\) | −168.354 | − | 223.233i | −0.566850 | − | 0.751627i | ||||
\(298\) | 102.979 | + | 64.1793i | 0.345567 | + | 0.215367i | ||||
\(299\) | −15.0704 | + | 12.6456i | −0.0504028 | + | 0.0422930i | ||||
\(300\) | 188.463 | + | 696.404i | 0.628210 | + | 2.32135i | ||||
\(301\) | 193.144 | + | 34.0564i | 0.641673 | + | 0.113144i | ||||
\(302\) | −281.326 | − | 59.4503i | −0.931543 | − | 0.196855i | ||||
\(303\) | −54.3909 | − | 32.6718i | −0.179508 | − | 0.107828i | ||||
\(304\) | 4.83118 | − | 9.19067i | 0.0158920 | − | 0.0302325i | ||||
\(305\) | −344.359 | + | 198.816i | −1.12905 | + | 0.651856i | ||||
\(306\) | 138.186 | − | 557.656i | 0.451588 | − | 1.82240i | ||||
\(307\) | −254.721 | − | 147.063i | −0.829712 | − | 0.479034i | 0.0240423 | − | 0.999711i | \(-0.492346\pi\) |
−0.853754 | + | 0.520677i | \(0.825680\pi\) | |||||||
\(308\) | 17.3427 | + | 161.335i | 0.0563073 | + | 0.523816i | ||||
\(309\) | 148.092 | − | 385.943i | 0.479263 | − | 1.24901i | ||||
\(310\) | 324.463 | + | 994.595i | 1.04666 | + | 3.20837i | ||||
\(311\) | 223.765 | − | 266.672i | 0.719500 | − | 0.857467i | −0.275082 | − | 0.961421i | \(-0.588705\pi\) |
0.994582 | + | 0.103954i | \(0.0331495\pi\) | |||||||
\(312\) | −121.219 | − | 185.168i | −0.388522 | − | 0.593486i | ||||
\(313\) | 4.07031 | + | 1.48147i | 0.0130042 | + | 0.00473313i | 0.348514 | − | 0.937304i | \(-0.386686\pi\) |
−0.335510 | + | 0.942037i | \(0.608909\pi\) | |||||||
\(314\) | −65.9917 | − | 123.759i | −0.210165 | − | 0.394138i | ||||
\(315\) | −256.269 | + | 200.326i | −0.813553 | + | 0.635957i | ||||
\(316\) | 213.020 | − | 317.431i | 0.674114 | − | 1.00453i | ||||
\(317\) | 94.9943 | + | 538.739i | 0.299666 | + | 1.69949i | 0.647606 | + | 0.761976i | \(0.275770\pi\) |
−0.347939 | + | 0.937517i | \(0.613118\pi\) | |||||||
\(318\) | −41.6257 | + | 64.2824i | −0.130898 | + | 0.202146i | ||||
\(319\) | −103.907 | + | 37.8190i | −0.325727 | + | 0.118555i | ||||
\(320\) | 217.307 | − | 549.030i | 0.679085 | − | 1.71572i | ||||
\(321\) | 113.306 | − | 130.378i | 0.352978 | − | 0.406161i | ||||
\(322\) | −2.34575 | − | 16.5489i | −0.00728493 | − | 0.0513942i | ||||
\(323\) | −20.7129 | −0.0641266 | ||||||||
\(324\) | −274.272 | + | 172.485i | −0.846518 | + | 0.532361i | ||||
\(325\) | − | 554.410i | − | 1.70588i | ||||||
\(326\) | 77.5247 | + | 546.926i | 0.237806 | + | 1.67769i | ||||
\(327\) | −11.6242 | − | 10.1021i | −0.0355481 | − | 0.0308934i | ||||
\(328\) | 51.4229 | − | 181.762i | 0.156777 | − | 0.554154i | ||||
\(329\) | 16.1844 | + | 44.4662i | 0.0491927 | + | 0.135156i | ||||
\(330\) | −311.584 | + | 481.177i | −0.944193 | + | 1.45811i | ||||
\(331\) | 565.418 | − | 99.6984i | 1.70821 | − | 0.301204i | 0.767660 | − | 0.640857i | \(-0.221421\pi\) |
0.940551 | + | 0.339654i | \(0.110310\pi\) | |||||||
\(332\) | 50.6472 | − | 75.4717i | 0.152552 | − | 0.227324i | ||||
\(333\) | 151.743 | − | 375.857i | 0.455684 | − | 1.12870i | ||||
\(334\) | −106.699 | − | 200.100i | −0.319457 | − | 0.599103i | ||||
\(335\) | 56.1126 | − | 154.168i | 0.167500 | − | 0.460203i | ||||
\(336\) | 187.985 | − | 4.19460i | 0.559480 | − | 0.0124839i | ||||
\(337\) | −156.900 | − | 131.654i | −0.465577 | − | 0.390666i | 0.379601 | − | 0.925150i | \(-0.376061\pi\) |
−0.845178 | + | 0.534485i | \(0.820506\pi\) | |||||||
\(338\) | −52.0809 | − | 159.646i | −0.154086 | − | 0.472327i | ||||
\(339\) | −66.8849 | − | 25.6648i | −0.197301 | − | 0.0757073i | ||||
\(340\) | −1171.16 | + | 125.894i | −3.44460 | + | 0.370275i | ||||
\(341\) | −293.563 | + | 508.467i | −0.860890 | + | 1.49111i | ||||
\(342\) | 8.41428 | + | 8.10218i | 0.0246032 | + | 0.0236906i | ||||
\(343\) | −161.893 | − | 280.406i | −0.471990 | − | 0.817511i | ||||
\(344\) | −29.3554 | − | 399.446i | −0.0853354 | − | 1.16118i | ||||
\(345\) | 30.4057 | − | 50.6184i | 0.0881325 | − | 0.146720i | ||||
\(346\) | −242.600 | − | 51.2666i | −0.701155 | − | 0.148169i | ||||
\(347\) | 28.6119 | − | 162.266i | 0.0824550 | − | 0.467625i | −0.915422 | − | 0.402496i | \(-0.868143\pi\) |
0.997877 | − | 0.0651296i | \(-0.0207461\pi\) | |||||||
\(348\) | 33.4721 | + | 123.685i | 0.0961841 | + | 0.355417i | ||||
\(349\) | 245.683 | + | 292.793i | 0.703961 | + | 0.838949i | 0.992969 | − | 0.118378i | \(-0.0377696\pi\) |
−0.289007 | + | 0.957327i | \(0.593325\pi\) | |||||||
\(350\) | 399.751 | + | 249.136i | 1.14214 | + | 0.711816i | ||||
\(351\) | 238.074 | − | 72.8876i | 0.678273 | − | 0.207657i | ||||
\(352\) | 310.718 | − | 115.176i | 0.882723 | − | 0.327204i | ||||
\(353\) | −22.5100 | − | 26.8264i | −0.0637677 | − | 0.0759954i | 0.733218 | − | 0.679994i | \(-0.238018\pi\) |
−0.796985 | + | 0.603999i | \(0.793573\pi\) | |||||||
\(354\) | 83.4036 | − | 363.434i | 0.235603 | − | 1.02665i | ||||
\(355\) | 201.151 | + | 35.4683i | 0.566621 | + | 0.0999106i | ||||
\(356\) | 335.622 | − | 349.195i | 0.942759 | − | 0.980885i | ||||
\(357\) | −181.894 | − | 328.045i | −0.509507 | − | 0.918895i | ||||
\(358\) | 48.4536 | − | 120.336i | 0.135345 | − | 0.336135i | ||||
\(359\) | −256.950 | + | 148.350i | −0.715738 | + | 0.413231i | −0.813182 | − | 0.582010i | \(-0.802267\pi\) |
0.0974440 | + | 0.995241i | \(0.468933\pi\) | |||||||
\(360\) | 525.012 | + | 406.977i | 1.45837 | + | 1.13049i | ||||
\(361\) | −180.289 | + | 312.270i | −0.499417 | + | 0.865015i | ||||
\(362\) | 246.479 | − | 193.040i | 0.680880 | − | 0.533259i | ||||
\(363\) | 40.7777 | − | 6.46397i | 0.112335 | − | 0.0178071i | ||||
\(364\) | −140.285 | − | 34.6251i | −0.385399 | − | 0.0951240i | ||||
\(365\) | 750.481 | + | 629.729i | 2.05611 | + | 1.72528i | ||||
\(366\) | −100.727 | + | 238.167i | −0.275212 | + | 0.650729i | ||||
\(367\) | −191.410 | − | 69.6676i | −0.521553 | − | 0.189830i | 0.0678096 | − | 0.997698i | \(-0.478399\pi\) |
−0.589363 | + | 0.807868i | \(0.700621\pi\) | |||||||
\(368\) | −31.5878 | + | 12.9363i | −0.0858365 | + | 0.0351531i | ||||
\(369\) | 180.247 | + | 112.566i | 0.488473 | + | 0.305056i | ||||
\(370\) | −830.559 | − | 28.0211i | −2.24475 | − | 0.0757328i | ||||
\(371\) | 8.68242 | + | 49.2405i | 0.0234028 | + | 0.132724i | ||||
\(372\) | 558.290 | + | 388.848i | 1.50078 | + | 1.04529i | ||||
\(373\) | −141.543 | − | 388.885i | −0.379471 | − | 1.04259i | −0.971576 | − | 0.236727i | \(-0.923925\pi\) |
0.592105 | − | 0.805861i | \(-0.298297\pi\) | |||||||
\(374\) | −491.782 | − | 441.751i | −1.31493 | − | 1.18115i | ||||
\(375\) | 316.603 | + | 919.095i | 0.844274 | + | 2.45092i | ||||
\(376\) | 79.9237 | − | 54.3225i | 0.212563 | − | 0.144475i | ||||
\(377\) | − | 98.4662i | − | 0.261184i | ||||||
\(378\) | −54.4286 | + | 204.414i | −0.143991 | + | 0.540778i | ||||
\(379\) | 357.515i | 0.943311i | 0.881783 | + | 0.471655i | \(0.156343\pi\) | ||||
−0.881783 | + | 0.471655i | \(0.843657\pi\) | |||||||
\(380\) | 9.68917 | − | 21.9014i | 0.0254978 | − | 0.0576352i | ||||
\(381\) | −303.527 | − | 58.9589i | −0.796659 | − | 0.154748i | ||||
\(382\) | 532.299 | + | 478.147i | 1.39345 | + | 1.25169i | ||||
\(383\) | −148.667 | − | 408.460i | −0.388166 | − | 1.06648i | −0.967826 | − | 0.251619i | \(-0.919037\pi\) |
0.579661 | − | 0.814858i | \(-0.303185\pi\) | |||||||
\(384\) | −102.499 | − | 370.067i | −0.266925 | − | 0.963717i | ||||
\(385\) | 64.9911 | + | 368.583i | 0.168808 | + | 0.957358i | ||||
\(386\) | −0.645891 | + | 19.1445i | −0.00167329 | + | 0.0495972i | ||||
\(387\) | 440.767 | + | 93.5685i | 1.13893 | + | 0.241779i | ||||
\(388\) | −482.538 | − | 32.5965i | −1.24365 | − | 0.0840116i | ||||
\(389\) | −76.9360 | − | 28.0024i | −0.197779 | − | 0.0719857i | 0.241231 | − | 0.970468i | \(-0.422449\pi\) |
−0.439011 | + | 0.898482i | \(0.644671\pi\) | |||||||
\(390\) | −307.745 | − | 407.279i | −0.789089 | − | 1.04431i | ||||
\(391\) | 52.1623 | + | 43.7694i | 0.133408 | + | 0.111942i | ||||
\(392\) | −193.008 | + | 187.712i | −0.492367 | + | 0.478858i | ||||
\(393\) | −311.691 | − | 384.805i | −0.793107 | − | 0.979147i | ||||
\(394\) | −368.849 | − | 470.956i | −0.936164 | − | 1.19532i | ||||
\(395\) | 440.873 | − | 763.614i | 1.11613 | − | 1.93320i | ||||
\(396\) | 26.9804 | + | 371.823i | 0.0681324 | + | 0.938946i | ||||
\(397\) | −97.6947 | + | 56.4040i | −0.246082 | + | 0.142076i | −0.617969 | − | 0.786202i | \(-0.712044\pi\) |
0.371887 | + | 0.928278i | \(0.378711\pi\) | |||||||
\(398\) | −52.6846 | + | 130.844i | −0.132373 | + | 0.328754i | ||||
\(399\) | 7.62525 | + | 0.132111i | 0.0191109 | + | 0.000331105i | ||||
\(400\) | 292.928 | − | 916.254i | 0.732320 | − | 2.29063i | ||||
\(401\) | 285.239 | + | 50.2954i | 0.711320 | + | 0.125425i | 0.517588 | − | 0.855630i | \(-0.326830\pi\) |
0.193731 | + | 0.981055i | \(0.437941\pi\) | |||||||
\(402\) | −31.3281 | − | 101.991i | −0.0779307 | − | 0.253709i | ||||
\(403\) | −336.069 | − | 400.512i | −0.833919 | − | 0.993825i | ||||
\(404\) | 37.2654 | + | 75.9493i | 0.0922412 | + | 0.187993i | ||||
\(405\) | −604.363 | + | 439.574i | −1.49225 | + | 1.08537i | ||||
\(406\) | 70.9979 | + | 44.2479i | 0.174872 | + | 0.108985i | ||||
\(407\) | −299.785 | − | 357.270i | −0.736573 | − | 0.877813i | ||||
\(408\) | −558.315 | + | 524.486i | −1.36842 | + | 1.28550i | ||||
\(409\) | 21.9368 | − | 124.410i | 0.0536353 | − | 0.304181i | −0.946175 | − | 0.323655i | \(-0.895088\pi\) |
0.999810 | + | 0.0194744i | \(0.00619928\pi\) | |||||||
\(410\) | 90.0824 | − | 426.281i | 0.219713 | − | 1.03971i | ||||
\(411\) | −219.705 | − | 3.80650i | −0.534563 | − | 0.00926156i | ||||
\(412\) | −445.142 | + | 325.025i | −1.08044 | + | 0.788896i | ||||
\(413\) | −121.725 | − | 210.834i | −0.294734 | − | 0.510494i | ||||
\(414\) | −4.06901 | − | 38.1847i | −0.00982853 | − | 0.0922337i | ||||
\(415\) | 104.821 | − | 181.555i | 0.252581 | − | 0.437482i | ||||
\(416\) | 1.74355 | + | 295.084i | 0.00419124 | + | 0.709336i | ||||
\(417\) | −247.179 | + | 200.214i | −0.592755 | + | 0.480130i | ||||
\(418\) | 12.7776 | − | 4.16840i | 0.0305685 | − | 0.00997225i | ||||
\(419\) | 292.681 | + | 245.589i | 0.698524 | + | 0.586131i | 0.921353 | − | 0.388726i | \(-0.127085\pi\) |
−0.222829 | + | 0.974857i | \(0.571529\pi\) | |||||||
\(420\) | 431.956 | − | 38.8766i | 1.02847 | − | 0.0925632i | ||||
\(421\) | −180.517 | + | 495.967i | −0.428782 | + | 1.17807i | 0.517771 | + | 0.855519i | \(0.326762\pi\) |
−0.946553 | + | 0.322549i | \(0.895460\pi\) | |||||||
\(422\) | 78.9109 | + | 147.988i | 0.186993 | + | 0.350682i | ||||
\(423\) | 33.6221 | + | 103.387i | 0.0794849 | + | 0.244414i | ||||
\(424\) | 93.1346 | − | 41.8625i | 0.219657 | − | 0.0987322i | ||||
\(425\) | −1889.79 | + | 333.221i | −4.44656 | + | 0.784049i | ||||
\(426\) | 118.275 | − | 60.4595i | 0.277640 | − | 0.141924i | ||||
\(427\) | 57.7437 | + | 158.650i | 0.135231 | + | 0.371545i | ||||
\(428\) | −221.238 | + | 64.0052i | −0.516911 | + | 0.149545i | ||||
\(429\) | 54.6270 | − | 281.226i | 0.127336 | − | 0.655539i | ||||
\(430\) | −129.652 | − | 914.676i | −0.301516 | − | 2.12715i | ||||
\(431\) | 448.708i | 1.04109i | 0.853835 | + | 0.520543i | \(0.174271\pi\) | ||||
−0.853835 | + | 0.520543i | \(0.825729\pi\) | |||||||
\(432\) | 431.967 | + | 5.32978i | 0.999924 | + | 0.0123374i | ||||
\(433\) | 505.648 | 1.16778 | 0.583889 | − | 0.811834i | \(-0.301530\pi\) | ||||
0.583889 | + | 0.811834i | \(0.301530\pi\) | |||||||
\(434\) | 439.804 | − | 62.3405i | 1.01337 | − | 0.143642i | ||||
\(435\) | 96.2564 | + | 279.431i | 0.221279 | + | 0.642371i | ||||
\(436\) | 5.70658 | + | 19.7251i | 0.0130885 | + | 0.0452412i | ||||
\(437\) | −1.30095 | + | 0.473509i | −0.00297701 | + | 0.00108354i | ||||
\(438\) | 636.286 | + | 32.5097i | 1.45271 | + | 0.0742232i | ||||
\(439\) | 0.332361 | + | 1.88491i | 0.000757087 | + | 0.00429365i | 0.985184 | − | 0.171501i | \(-0.0548617\pi\) |
−0.984427 | + | 0.175795i | \(0.943751\pi\) | |||||||
\(440\) | 697.147 | − | 313.356i | 1.58442 | − | 0.712172i | ||||
\(441\) | −142.268 | − | 267.399i | −0.322602 | − | 0.606348i | ||||
\(442\) | 519.432 | − | 276.975i | 1.17519 | − | 0.626639i | ||||
\(443\) | 192.570 | + | 70.0897i | 0.434695 | + | 0.158216i | 0.550093 | − | 0.835103i | \(-0.314592\pi\) |
−0.115398 | + | 0.993319i | \(0.536814\pi\) | |||||||
\(444\) | −441.931 | + | 311.088i | −0.995340 | + | 0.700649i | ||||
\(445\) | 718.078 | − | 855.772i | 1.61366 | − | 1.92308i | ||||
\(446\) | −26.4627 | − | 81.1175i | −0.0593334 | − | 0.181878i | ||||
\(447\) | 179.767 | − | 28.4961i | 0.402163 | − | 0.0637498i | ||||
\(448\) | −213.550 | − | 131.345i | −0.476675 | − | 0.293181i | ||||
\(449\) | 80.4509 | + | 46.4484i | 0.179178 | + | 0.103448i | 0.586906 | − | 0.809655i | \(-0.300346\pi\) |
−0.407728 | + | 0.913103i | \(0.633679\pi\) | |||||||
\(450\) | 898.040 | + | 603.855i | 1.99565 | + | 1.34190i | ||||
\(451\) | 211.757 | − | 122.258i | 0.469528 | − | 0.271082i | ||||
\(452\) | 56.3276 | + | 77.1442i | 0.124619 | + | 0.170673i | ||||
\(453\) | −377.204 | + | 209.151i | −0.832679 | + | 0.461703i | ||||
\(454\) | 146.429 | + | 30.9436i | 0.322531 | + | 0.0681578i | ||||
\(455\) | −328.219 | − | 57.8739i | −0.721361 | − | 0.127195i | ||||
\(456\) | −3.55928 | − | 15.1625i | −0.00780543 | − | 0.0332511i | ||||
\(457\) | 591.485 | − | 496.315i | 1.29428 | − | 1.08603i | 0.303173 | − | 0.952935i | \(-0.401954\pi\) |
0.991104 | − | 0.133092i | \(-0.0424906\pi\) | |||||||
\(458\) | 419.791 | − | 673.575i | 0.916573 | − | 1.47069i | ||||
\(459\) | −391.539 | − | 767.702i | −0.853027 | − | 1.67255i | ||||
\(460\) | −70.6816 | + | 34.6807i | −0.153656 | + | 0.0753929i | ||||
\(461\) | 226.108 | − | 189.727i | 0.490474 | − | 0.411556i | −0.363722 | − | 0.931507i | \(-0.618494\pi\) |
0.854196 | + | 0.519951i | \(0.174050\pi\) | |||||||
\(462\) | 178.227 | + | 165.763i | 0.385773 | + | 0.358794i | ||||
\(463\) | −74.4212 | + | 422.063i | −0.160737 | + | 0.911584i | 0.792615 | + | 0.609722i | \(0.208719\pi\) |
−0.953352 | + | 0.301861i | \(0.902392\pi\) | |||||||
\(464\) | 52.0256 | − | 162.732i | 0.112124 | − | 0.350715i | ||||
\(465\) | 1345.23 | + | 808.061i | 2.89298 | + | 1.73777i | ||||
\(466\) | 547.227 | + | 220.342i | 1.17431 | + | 0.472837i | ||||
\(467\) | 116.967 | + | 202.592i | 0.250464 | + | 0.433817i | 0.963654 | − | 0.267155i | \(-0.0860834\pi\) |
−0.713189 | + | 0.700971i | \(0.752750\pi\) | |||||||
\(468\) | −319.354 | − | 90.6675i | −0.682380 | − | 0.193734i | ||||
\(469\) | −60.3269 | − | 34.8297i | −0.128629 | − | 0.0742639i | ||||
\(470\) | 175.482 | − | 137.436i | 0.373367 | − | 0.292417i | ||||
\(471\) | −196.418 | − | 75.3685i | −0.417023 | − | 0.160018i | ||||
\(472\) | −356.411 | + | 346.633i | −0.755109 | + | 0.734391i | ||||
\(473\) | 333.257 | − | 397.160i | 0.704560 | − | 0.839662i | ||||
\(474\) | −70.6290 | − | 569.057i | −0.149006 | − | 1.20054i | ||||
\(475\) | 13.3440 | − | 36.6624i | 0.0280927 | − | 0.0771839i | ||||
\(476\) | −33.7082 | + | 498.995i | −0.0708155 | + | 1.04831i | ||||
\(477\) | 16.0169 | + | 113.752i | 0.0335783 | + | 0.238474i | ||||
\(478\) | −153.979 | − | 5.19490i | −0.322132 | − | 0.0108680i | ||||
\(479\) | 502.569 | − | 88.6164i | 1.04920 | − | 0.185003i | 0.377642 | − | 0.925952i | \(-0.376735\pi\) |
0.671562 | + | 0.740949i | \(0.265624\pi\) | |||||||
\(480\) | −293.409 | − | 835.696i | −0.611270 | − | 1.74103i | ||||
\(481\) | 390.263 | − | 142.044i | 0.811358 | − | 0.295310i | ||||
\(482\) | 19.7709 | − | 22.0100i | 0.0410184 | − | 0.0456640i | ||||
\(483\) | −18.9239 | − | 16.4460i | −0.0391799 | − | 0.0340496i | ||||
\(484\) | −50.3426 | − | 22.2716i | −0.104014 | − | 0.0460156i | ||||
\(485\) | −1115.52 | −2.30005 | ||||||||
\(486\) | −141.242 | + | 465.023i | −0.290622 | + | 0.956838i | ||||
\(487\) | 453.337 | 0.930877 | 0.465438 | − | 0.885080i | \(-0.345897\pi\) | ||||
0.465438 | + | 0.885080i | \(0.345897\pi\) | |||||||
\(488\) | 285.157 | − | 193.815i | 0.584338 | − | 0.397162i | ||||
\(489\) | 625.416 | + | 543.523i | 1.27897 | + | 1.11150i | ||||
\(490\) | −414.985 | + | 461.984i | −0.846907 | + | 0.942824i | ||||
\(491\) | −526.380 | + | 191.587i | −1.07206 | + | 0.390197i | −0.816946 | − | 0.576714i | \(-0.804335\pi\) |
−0.255112 | + | 0.966912i | \(0.582112\pi\) | |||||||
\(492\) | −120.386 | − | 256.498i | −0.244688 | − | 0.521338i | ||||
\(493\) | −335.637 | + | 59.1818i | −0.680805 | + | 0.120044i | ||||
\(494\) | −0.403560 | + | 11.9617i | −0.000816923 | + | 0.0242140i | ||||
\(495\) | 119.892 | + | 851.475i | 0.242206 | + | 1.72015i | ||||
\(496\) | −343.796 | − | 839.477i | −0.693136 | − | 1.69249i | ||||
\(497\) | 29.6615 | − | 81.4944i | 0.0596811 | − | 0.163973i | ||||
\(498\) | −16.7926 | − | 135.298i | −0.0337201 | − | 0.271682i | ||||
\(499\) | −51.4796 | + | 61.3511i | −0.103166 | + | 0.122948i | −0.815157 | − | 0.579241i | \(-0.803349\pi\) |
0.711991 | + | 0.702189i | \(0.247794\pi\) | |||||||
\(500\) | 310.589 | − | 1258.37i | 0.621178 | − | 2.51673i | ||||
\(501\) | −317.578 | − | 121.860i | −0.633888 | − | 0.243233i | ||||
\(502\) | −70.7175 | − | 90.2942i | −0.140872 | − | 0.179869i | ||||
\(503\) | −428.849 | − | 247.596i | −0.852583 | − | 0.492239i | 0.00893873 | − | 0.999960i | \(-0.497155\pi\) |
−0.861521 | + | 0.507721i | \(0.830488\pi\) | |||||||
\(504\) | 208.883 | − | 189.523i | 0.414451 | − | 0.376038i | ||||
\(505\) | 97.5652 | + | 168.988i | 0.193198 | + | 0.334629i | ||||
\(506\) | −40.9870 | − | 16.5035i | −0.0810019 | − | 0.0326156i | ||||
\(507\) | −215.929 | − | 129.705i | −0.425895 | − | 0.255829i | ||||
\(508\) | 297.236 | + | 285.683i | 0.585111 | + | 0.562368i | ||||
\(509\) | 83.0060 | − | 470.750i | 0.163077 | − | 0.924854i | −0.787949 | − | 0.615741i | \(-0.788857\pi\) |
0.951025 | − | 0.309113i | \(-0.100032\pi\) | |||||||
\(510\) | −1203.31 | + | 1293.78i | −2.35942 | + | 2.53683i | ||||
\(511\) | 318.648 | − | 267.378i | 0.623578 | − | 0.523244i | ||||
\(512\) | −153.029 | + | 488.596i | −0.298885 | + | 0.954289i | ||||
\(513\) | 17.4978 | + | 0.910203i | 0.0341088 | + | 0.00177427i | ||||
\(514\) | −35.3037 | + | 56.6465i | −0.0686842 | + | 0.110207i | ||||
\(515\) | −973.872 | + | 817.175i | −1.89101 | + | 1.58675i | ||||
\(516\) | −425.877 | − | 423.759i | −0.825343 | − | 0.821238i | ||||
\(517\) | 123.191 | + | 21.7219i | 0.238281 | + | 0.0420153i | ||||
\(518\) | −72.9536 | + | 345.225i | −0.140837 | + | 0.666458i | ||||
\(519\) | −325.279 | + | 180.360i | −0.626742 | + | 0.347515i | ||||
\(520\) | 49.8852 | + | 678.801i | 0.0959331 | + | 1.30539i | ||||
\(521\) | 440.723 | − | 254.451i | 0.845917 | − | 0.488390i | −0.0133541 | − | 0.999911i | \(-0.504251\pi\) |
0.859271 | + | 0.511520i | \(0.170918\pi\) | |||||||
\(522\) | 159.497 | + | 107.248i | 0.305550 | + | 0.205456i | ||||
\(523\) | 536.132 | + | 309.536i | 1.02511 | + | 0.591847i | 0.915580 | − | 0.402136i | \(-0.131732\pi\) |
0.109530 | + | 0.993984i | \(0.465065\pi\) | |||||||
\(524\) | 70.5689 | + | 656.489i | 0.134673 | + | 1.25284i | ||||
\(525\) | 697.832 | − | 110.618i | 1.32920 | − | 0.210702i | ||||
\(526\) | −868.330 | + | 283.272i | −1.65082 | + | 0.538541i | ||||
\(527\) | −1163.21 | + | 1386.26i | −2.20724 | + | 2.63048i | ||||
\(528\) | 238.869 | − | 435.910i | 0.452403 | − | 0.825587i | ||||
\(529\) | −492.821 | − | 179.372i | −0.931608 | − | 0.339078i | ||||
\(530\) | 207.821 | − | 110.816i | 0.392116 | − | 0.209087i | ||||
\(531\) | −262.714 | − | 493.784i | −0.494753 | − | 0.929914i | ||||
\(532\) | −8.44350 | − | 5.66623i | −0.0158712 | − | 0.0106508i | ||||
\(533\) | 37.8100 | + | 214.431i | 0.0709381 | + | 0.402310i | ||||
\(534\) | 37.0708 | − | 725.555i | 0.0694209 | − | 1.35872i | ||||
\(535\) | −499.181 | + | 181.687i | −0.933049 | + | 0.339602i | ||||
\(536\) | −38.7268 | + | 136.886i | −0.0722515 | + | 0.255385i | ||||
\(537\) | −63.3753 | − | 183.978i | −0.118017 | − | 0.342603i | ||||
\(538\) | −369.731 | + | 52.4079i | −0.687232 | + | 0.0974124i | ||||
\(539\) | −348.511 | −0.646588 | ||||||||
\(540\) | 994.908 | − | 54.8869i | 1.84242 | − | 0.101642i | ||||
\(541\) | 455.741i | 0.842404i | 0.906967 | + | 0.421202i | \(0.138392\pi\) | ||||
−0.906967 | + | 0.421202i | \(0.861608\pi\) | |||||||
\(542\) | 518.809 | − | 73.5392i | 0.957213 | − | 0.135681i | ||||
\(543\) | 89.5466 | − | 460.996i | 0.164911 | − | 0.848980i | ||||
\(544\) | 1004.79 | − | 183.299i | 1.84704 | − | 0.336948i | ||||
\(545\) | 16.1989 | + | 44.5060i | 0.0297227 | + | 0.0816625i | ||||
\(546\) | −192.990 | + | 98.6524i | −0.353462 | + | 0.180682i | ||||
\(547\) | −393.878 | + | 69.4513i | −0.720070 | + | 0.126968i | −0.521662 | − | 0.853152i | \(-0.674688\pi\) |
−0.198407 | + | 0.980120i | \(0.563577\pi\) | |||||||
\(548\) | 243.282 | + | 163.260i | 0.443945 | + | 0.297920i | ||||
\(549\) | 119.959 | + | 368.871i | 0.218505 | + | 0.671897i | ||||
\(550\) | 1098.74 | − | 585.875i | 1.99770 | − | 1.06523i | ||||
\(551\) | 2.36997 | − | 6.51144i | 0.00430122 | − | 0.0118175i | ||||
\(552\) | −23.0771 | + | 45.7057i | −0.0418063 | + | 0.0828003i | ||||
\(553\) | −286.793 | − | 240.648i | −0.518614 | − | 0.435169i | ||||
\(554\) | −419.426 | + | 136.828i | −0.757087 | + | 0.246982i | ||||
\(555\) | −968.648 | + | 784.603i | −1.74531 | + | 1.41370i | ||||
\(556\) | 421.694 | − | 45.3298i | 0.758443 | − | 0.0815284i | ||||
\(557\) | −318.973 | + | 552.477i | −0.572662 | + | 0.991879i | 0.423630 | + | 0.905836i | \(0.360756\pi\) |
−0.996291 | + | 0.0860438i | \(0.972578\pi\) | |||||||
\(558\) | 1014.80 | − | 108.138i | 1.81863 | − | 0.193796i | ||||
\(559\) | 230.840 | + | 399.826i | 0.412951 | + | 0.715253i | ||||
\(560\) | −511.859 | − | 269.064i | −0.914033 | − | 0.480472i | ||||
\(561\) | −991.434 | − | 17.1771i | −1.76726 | − | 0.0306187i | ||||
\(562\) | −148.838 | + | 704.320i | −0.264837 | + | 1.25324i | ||||
\(563\) | 52.4639 | − | 297.538i | 0.0931863 | − | 0.528486i | −0.902102 | − | 0.431523i | \(-0.857976\pi\) |
0.995288 | − | 0.0969625i | \(-0.0309127\pi\) | |||||||
\(564\) | 37.1681 | − | 140.109i | 0.0659009 | − | 0.248421i | ||||
\(565\) | 141.618 | + | 168.774i | 0.250652 | + | 0.298716i | ||||
\(566\) | −270.807 | + | 434.524i | −0.478458 | + | 0.767710i | ||||
\(567\) | 139.245 | + | 285.119i | 0.245582 | + | 0.502855i | ||||
\(568\) | −176.203 | − | 17.8884i | −0.310217 | − | 0.0314936i | ||||
\(569\) | 149.205 | + | 177.816i | 0.262224 | + | 0.312506i | 0.881051 | − | 0.473021i | \(-0.156836\pi\) |
−0.618827 | + | 0.785527i | \(0.712392\pi\) | |||||||
\(570\) | −10.5480 | − | 34.3399i | −0.0185053 | − | 0.0602454i | ||||
\(571\) | 579.188 | + | 102.127i | 1.01434 | + | 0.178856i | 0.656020 | − | 0.754743i | \(-0.272239\pi\) |
0.358320 | + | 0.933599i | \(0.383350\pi\) | |||||||
\(572\) | −264.693 | + | 275.397i | −0.462750 | + | 0.481464i | ||||
\(573\) | 1073.12 | + | 18.5923i | 1.87280 | + | 0.0324472i | ||||
\(574\) | −171.604 | − | 69.0968i | −0.298962 | − | 0.120378i | ||||
\(575\) | −111.078 | + | 64.1308i | −0.193179 | + | 0.111532i | ||||
\(576\) | −479.880 | − | 318.577i | −0.833125 | − | 0.553085i | ||||
\(577\) | −273.569 | + | 473.835i | −0.474122 | + | 0.821204i | −0.999561 | − | 0.0296273i | \(-0.990568\pi\) |
0.525439 | + | 0.850832i | \(0.323901\pi\) | |||||||
\(578\) | −899.917 | − | 1149.04i | −1.55695 | − | 1.98796i | ||||
\(579\) | 18.0852 | + | 22.3275i | 0.0312353 | + | 0.0385622i | ||||
\(580\) | 94.4280 | − | 382.580i | 0.162807 | − | 0.659620i | ||||
\(581\) | −68.1874 | − | 57.2160i | −0.117362 | − | 0.0984785i | ||||
\(582\) | −578.802 | + | 437.350i | −0.994506 | + | 0.751460i | ||||
\(583\) | 124.205 | + | 45.2070i | 0.213045 | + | 0.0775420i | ||||
\(584\) | −689.016 | − | 496.877i | −1.17982 | − | 0.850816i | ||||
\(585\) | −749.019 | − | 159.006i | −1.28037 | − | 0.271805i | ||||
\(586\) | −14.1074 | + | 418.151i | −0.0240741 | + | 0.713569i | ||||
\(587\) | 140.356 | + | 796.000i | 0.239108 | + | 1.35605i | 0.833788 | + | 0.552085i | \(0.186168\pi\) |
−0.594680 | + | 0.803962i | \(0.702721\pi\) | |||||||
\(588\) | −34.1951 | + | 402.403i | −0.0581549 | + | 0.684360i | ||||
\(589\) | −12.5839 | − | 34.5741i | −0.0213649 | − | 0.0586997i | ||||
\(590\) | −766.317 | + | 853.107i | −1.29884 | + | 1.44594i | ||||
\(591\) | −880.844 | − | 171.100i | −1.49043 | − | 0.289510i | ||||
\(592\) | 720.025 | − | 28.5520i | 1.21626 | − | 0.0482298i | ||||
\(593\) | − | 80.7272i | − | 0.136133i | −0.997681 | − | 0.0680667i | \(-0.978317\pi\) | ||
0.997681 | − | 0.0680667i | \(-0.0216831\pi\) | |||||||
\(594\) | 396.035 | + | 394.793i | 0.666725 | + | 0.664635i | ||||
\(595\) | 1153.57i | 1.93877i | ||||||||
\(596\) | −221.934 | − | 98.1834i | −0.372372 | − | 0.164737i | ||||
\(597\) | 68.9092 | + | 200.043i | 0.115426 | + | 0.335080i | ||||
\(598\) | 26.2931 | − | 29.2710i | 0.0439685 | − | 0.0489481i | ||||
\(599\) | 156.491 | + | 429.954i | 0.261253 | + | 0.717787i | 0.999084 | + | 0.0428007i | \(0.0136281\pi\) |
−0.737831 | + | 0.674986i | \(0.764150\pi\) | |||||||
\(600\) | −568.666 | − | 1326.12i | −0.947777 | − | 2.21021i | ||||
\(601\) | −51.1357 | − | 290.005i | −0.0850843 | − | 0.482537i | −0.997338 | − | 0.0729122i | \(-0.976771\pi\) |
0.912254 | − | 0.409625i | \(-0.134340\pi\) | |||||||
\(602\) | −392.023 | − | 13.2259i | −0.651201 | − | 0.0219700i | ||||
\(603\) | −135.745 | − | 84.7738i | −0.225116 | − | 0.140587i | ||||
\(604\) | 573.770 | + | 38.7594i | 0.949950 | + | 0.0641712i | ||||
\(605\) | −119.315 | − | 43.4271i | −0.197215 | − | 0.0717803i | ||||
\(606\) | 116.876 | + | 49.4301i | 0.192864 | + | 0.0815678i | ||||
\(607\) | 360.380 | + | 302.394i | 0.593706 | + | 0.498179i | 0.889416 | − | 0.457099i | \(-0.151112\pi\) |
−0.295710 | + | 0.955278i | \(0.595556\pi\) | |||||||
\(608\) | −6.98704 | + | 19.5555i | −0.0114918 | + | 0.0321636i | ||||
\(609\) | 123.939 | − | 19.6464i | 0.203512 | − | 0.0322602i | ||||
\(610\) | 626.098 | − | 490.354i | 1.02639 | − | 0.803858i | ||||
\(611\) | −55.6964 | + | 96.4689i | −0.0911561 | + | 0.157887i | ||||
\(612\) | −117.110 | + | 1143.06i | −0.191357 | + | 1.86774i | ||||
\(613\) | −9.61147 | + | 5.54919i | −0.0156794 | + | 0.00905251i | −0.507819 | − | 0.861464i | \(-0.669548\pi\) |
0.492140 | + | 0.870516i | \(0.336215\pi\) | |||||||
\(614\) | 545.680 | + | 219.719i | 0.888729 | + | 0.357849i | ||||
\(615\) | −316.918 | − | 571.560i | −0.515314 | − | 0.929366i | ||||
\(616\) | −79.6267 | − | 314.610i | −0.129264 | − | 0.510730i | ||||
\(617\) | 1086.86 | + | 191.642i | 1.76152 | + | 0.310603i | 0.958444 | − | 0.285279i | \(-0.0920864\pi\) |
0.803072 | + | 0.595882i | \(0.203197\pi\) | |||||||
\(618\) | −184.924 | + | 805.815i | −0.299230 | + | 1.30391i | ||||
\(619\) | −683.364 | − | 814.401i | −1.10398 | − | 1.31567i | −0.944515 | − | 0.328469i | \(-0.893467\pi\) |
−0.159466 | − | 0.987203i | \(-0.550977\pi\) | |||||||
\(620\) | −921.674 | − | 1878.43i | −1.48657 | − | 3.02973i | ||||
\(621\) | −42.1423 | − | 39.2677i | −0.0678619 | − | 0.0632330i | ||||
\(622\) | −368.249 | + | 590.873i | −0.592039 | + | 0.949957i | ||||
\(623\) | −304.890 | − | 363.354i | −0.489390 | − | 0.583232i | ||||
\(624\) | 292.013 | + | 332.645i | 0.467969 | + | 0.533086i | ||||
\(625\) | 258.133 | − | 1463.95i | 0.413013 | − | 2.34231i | ||||
\(626\) | −8.47588 | − | 1.79114i | −0.0135397 | − | 0.00286124i | ||||
\(627\) | 10.3812 | − | 17.2823i | 0.0165569 | − | 0.0275635i | ||||
\(628\) | 165.415 | + | 226.546i | 0.263399 | + | 0.360742i | ||||
\(629\) | −718.741 | − | 1244.90i | −1.14267 | − | 1.97917i | ||||
\(630\) | 451.237 | − | 468.619i | 0.716249 | − | 0.743839i | ||||
\(631\) | −561.043 | + | 971.756i | −0.889134 | + | 1.54002i | −0.0482324 | + | 0.998836i | \(0.515359\pi\) |
−0.840901 | + | 0.541189i | \(0.817975\pi\) | |||||||
\(632\) | −332.725 | + | 688.370i | −0.526463 | + | 1.08919i | ||||
\(633\) | 234.871 | + | 90.1235i | 0.371044 | + | 0.142375i | ||||
\(634\) | −339.325 | − | 1040.15i | −0.535213 | − | 1.64062i | ||||
\(635\) | 728.436 | + | 611.231i | 1.14714 | + | 0.962568i | ||||
\(636\) | 64.3843 | − | 138.976i | 0.101233 | − | 0.218516i | ||||
\(637\) | 106.145 | − | 291.630i | 0.166632 | − | 0.457817i | ||||
\(638\) | 195.142 | − | 104.055i | 0.305864 | − | 0.163095i | ||||
\(639\) | 74.5917 | − | 184.759i | 0.116732 | − | 0.289137i | ||||
\(640\) | −276.208 | + | 1148.19i | −0.431574 | + | 1.79404i | ||||
\(641\) | 828.308 | − | 146.053i | 1.29221 | − | 0.227852i | 0.515054 | − | 0.857157i | \(-0.327772\pi\) |
0.777158 | + | 0.629306i | \(0.216661\pi\) | |||||||
\(642\) | −187.774 | + | 289.978i | −0.292483 | + | 0.451680i | ||||
\(643\) | −161.612 | − | 444.026i | −0.251341 | − | 0.690554i | −0.999631 | − | 0.0271817i | \(-0.991347\pi\) |
0.748289 | − | 0.663373i | \(-0.230876\pi\) | |||||||
\(644\) | 9.29013 | + | 32.1119i | 0.0144257 | + | 0.0498632i | ||||
\(645\) | −1045.94 | − | 908.984i | −1.62161 | − | 1.40928i | ||||
\(646\) | 41.0158 | − | 5.81383i | 0.0634920 | − | 0.00899974i | ||||
\(647\) | − | 49.9792i | − | 0.0772477i | −0.999254 | − | 0.0386238i | \(-0.987703\pi\) | ||
0.999254 | − | 0.0386238i | \(-0.0122974\pi\) | |||||||
\(648\) | 494.700 | − | 418.540i | 0.763426 | − | 0.645895i | ||||
\(649\) | −643.566 | −0.991628 | ||||||||
\(650\) | 155.615 | + | 1097.84i | 0.239408 | + | 1.68899i | ||||
\(651\) | 437.067 | − | 502.920i | 0.671379 | − | 0.772535i | ||||
\(652\) | −307.030 | − | 1061.27i | −0.470904 | − | 1.62771i | ||||
\(653\) | 863.281 | − | 314.209i | 1.32202 | − | 0.481177i | 0.417917 | − | 0.908485i | \(-0.362760\pi\) |
0.904106 | + | 0.427308i | \(0.140538\pi\) | |||||||
\(654\) | 25.8539 | + | 16.7416i | 0.0395320 | + | 0.0255987i | ||||
\(655\) | 264.455 | + | 1499.80i | 0.403748 | + | 2.28977i | ||||
\(656\) | −50.8096 | + | 374.361i | −0.0774537 | + | 0.570672i | ||||
\(657\) | 752.929 | − | 588.566i | 1.14601 | − | 0.895839i | ||||
\(658\) | −44.5295 | − | 83.5096i | −0.0676740 | − | 0.126914i | ||||
\(659\) | 1016.60 | + | 370.011i | 1.54264 | + | 0.561474i | 0.966676 | − | 0.256003i | \(-0.0824056\pi\) |
0.575962 | + | 0.817477i | \(0.304628\pi\) | |||||||
\(660\) | 481.940 | − | 1040.29i | 0.730212 | − | 1.57619i | ||||
\(661\) | 253.636 | − | 302.272i | 0.383716 | − | 0.457295i | −0.539268 | − | 0.842134i | \(-0.681299\pi\) |
0.922983 | + | 0.384840i | \(0.125743\pi\) | |||||||
\(662\) | −1091.66 | + | 356.128i | −1.64903 | + | 0.537958i | ||||
\(663\) | 316.330 | − | 824.388i | 0.477120 | − | 1.24342i | ||||
\(664\) | −79.1079 | + | 163.665i | −0.119138 | + | 0.246484i | ||||
\(665\) | −20.3118 | − | 11.7270i | −0.0305440 | − | 0.0176346i | ||||
\(666\) | −194.984 | + | 786.866i | −0.292769 | + | 1.18148i | ||||
\(667\) | −19.7280 | + | 11.3900i | −0.0295773 | + | 0.0170765i | ||||
\(668\) | 267.451 | + | 366.291i | 0.400375 | + | 0.548340i | ||||
\(669\) | −109.715 | − | 65.9041i | −0.163999 | − | 0.0985113i | ||||
\(670\) | −67.8416 | + | 321.034i | −0.101256 | + | 0.479156i | ||||
\(671\) | 439.529 | + | 77.5009i | 0.655036 | + | 0.115501i | ||||
\(672\) | −371.072 | + | 61.0711i | −0.552191 | + | 0.0908796i | ||||
\(673\) | −496.280 | + | 416.429i | −0.737415 | + | 0.618765i | −0.932142 | − | 0.362093i | \(-0.882062\pi\) |
0.194727 | + | 0.980858i | \(0.437618\pi\) | |||||||
\(674\) | 347.647 | + | 216.663i | 0.515797 | + | 0.321459i | ||||
\(675\) | 1611.10 | − | 198.453i | 2.38681 | − | 0.294005i | ||||
\(676\) | 147.942 | + | 301.514i | 0.218848 | + | 0.446027i | ||||
\(677\) | 86.1473 | − | 72.2862i | 0.127249 | − | 0.106774i | −0.576942 | − | 0.816785i | \(-0.695754\pi\) |
0.704191 | + | 0.710011i | \(0.251310\pi\) | |||||||
\(678\) | 139.650 | + | 32.0478i | 0.205973 | + | 0.0472682i | ||||
\(679\) | −82.2472 | + | 466.447i | −0.121130 | + | 0.686962i | ||||
\(680\) | 2283.81 | − | 578.025i | 3.35855 | − | 0.850037i | ||||
\(681\) | 196.333 | − | 108.862i | 0.288301 | − | 0.159857i | ||||
\(682\) | 438.596 | − | 1089.27i | 0.643103 | − | 1.59717i | ||||
\(683\) | −100.528 | − | 174.119i | −0.147185 | − | 0.254933i | 0.783001 | − | 0.622021i | \(-0.213688\pi\) |
−0.930186 | + | 0.367088i | \(0.880355\pi\) | |||||||
\(684\) | −18.9362 | − | 13.6822i | −0.0276845 | − | 0.0200032i | ||||
\(685\) | 585.240 | + | 337.889i | 0.854365 | + | 0.493268i | ||||
\(686\) | 399.287 | + | 509.821i | 0.582051 | + | 0.743180i | ||||
\(687\) | −186.391 | − | 1175.84i | −0.271311 | − | 1.71156i | ||||
\(688\) | 170.249 | + | 782.746i | 0.247455 | + | 1.13771i | ||||
\(689\) | −75.6572 | + | 90.1648i | −0.109807 | + | 0.130863i | ||||
\(690\) | −46.0016 | + | 108.769i | −0.0666690 | + | 0.157637i | ||||
\(691\) | 287.328 | − | 789.426i | 0.415814 | − | 1.14244i | −0.538236 | − | 0.842794i | \(-0.680909\pi\) |
0.954050 | − | 0.299646i | \(-0.0968686\pi\) | |||||||
\(692\) | 494.787 | + | 33.4240i | 0.715010 | + | 0.0483005i | ||||
\(693\) | 364.877 | + | 12.6471i | 0.526518 | + | 0.0182498i | ||||
\(694\) | −11.1115 | + | 329.351i | −0.0160109 | + | 0.474569i | ||||
\(695\) | 963.392 | − | 169.872i | 1.38618 | − | 0.244420i | ||||
\(696\) | −100.998 | − | 235.527i | −0.145113 | − | 0.338401i | ||||
\(697\) | 708.196 | − | 257.762i | 1.01606 | − | 0.369817i | ||||
\(698\) | −568.685 | − | 510.831i | −0.814735 | − | 0.731849i | ||||
\(699\) | 836.636 | − | 288.198i | 1.19690 | − | 0.412300i | ||||
\(700\) | −861.518 | − | 381.135i | −1.23074 | − | 0.544479i | ||||
\(701\) | −660.538 | −0.942279 | −0.471140 | − | 0.882059i | \(-0.656157\pi\) | ||||
−0.471140 | + | 0.882059i | \(0.656157\pi\) | |||||||
\(702\) | −450.976 | + | 211.157i | −0.642416 | + | 0.300793i | ||||
\(703\) | 29.2264 | 0.0415739 | ||||||||
\(704\) | −582.958 | + | 315.286i | −0.828066 | + | 0.447850i | ||||
\(705\) | 63.7534 | − | 328.210i | 0.0904303 | − | 0.465546i | ||||
\(706\) | 52.1043 | + | 46.8035i | 0.0738021 | + | 0.0662939i | ||||
\(707\) | 77.8543 | − | 28.3366i | 0.110119 | − | 0.0400801i | ||||
\(708\) | −63.1452 | + | 743.085i | −0.0891882 | + | 1.04955i | ||||
\(709\) | −1004.43 | + | 177.109i | −1.41669 | + | 0.249800i | −0.828983 | − | 0.559274i | \(-0.811080\pi\) |
−0.587706 | + | 0.809075i | \(0.699969\pi\) | |||||||
\(710\) | −408.275 | − | 13.7742i | −0.575035 | − | 0.0194003i | ||||
\(711\) | −639.354 | − | 575.377i | −0.899232 | − | 0.809251i | ||||
\(712\) | −566.587 | + | 785.682i | −0.795768 | + | 1.10349i | ||||
\(713\) | −41.3694 | + | 113.661i | −0.0580216 | + | 0.159413i | ||||
\(714\) | 452.266 | + | 598.542i | 0.633425 | + | 0.838295i | ||||
\(715\) | −566.322 | + | 674.916i | −0.792058 | + | 0.943938i | ||||
\(716\) | −62.1714 | + | 251.891i | −0.0868316 | + | 0.351803i | ||||
\(717\) | −179.580 | + | 145.459i | −0.250460 | + | 0.202872i | ||||
\(718\) | 467.174 | − | 365.886i | 0.650660 | − | 0.509591i | ||||
\(719\) | 139.179 | + | 80.3549i | 0.193573 | + | 0.111759i | 0.593654 | − | 0.804720i | \(-0.297685\pi\) |
−0.400081 | + | 0.916480i | \(0.631018\pi\) | |||||||
\(720\) | −1153.87 | − | 658.535i | −1.60259 | − | 0.914632i | ||||
\(721\) | 269.892 | + | 467.466i | 0.374330 | + | 0.648358i | ||||
\(722\) | 269.360 | − | 668.965i | 0.373075 | − | 0.926544i | ||||
\(723\) | 0.768771 | − | 44.3723i | 0.00106331 | − | 0.0613725i | ||||
\(724\) | −433.895 | + | 451.441i | −0.599302 | + | 0.623538i | ||||
\(725\) | 111.476 | − | 632.213i | 0.153760 | − | 0.872018i | ||||
\(726\) | −78.9339 | + | 24.2457i | −0.108724 | + | 0.0333963i | ||||
\(727\) | 708.427 | − | 594.441i | 0.974453 | − | 0.817663i | −0.00879055 | − | 0.999961i | \(-0.502798\pi\) |
0.983243 | + | 0.182298i | \(0.0583537\pi\) | |||||||
\(728\) | 287.513 | + | 29.1887i | 0.394935 | + | 0.0400943i | ||||
\(729\) | 297.029 | + | 665.744i | 0.407447 | + | 0.913229i | ||||
\(730\) | −1662.86 | − | 1036.34i | −2.27790 | − | 1.41965i | ||||
\(731\) | 1224.12 | − | 1027.16i | 1.67459 | − | 1.40515i | ||||
\(732\) | 132.611 | − | 499.892i | 0.181162 | − | 0.682913i | ||||
\(733\) | −387.908 | − | 68.3987i | −0.529206 | − | 0.0933133i | −0.0973403 | − | 0.995251i | \(-0.531034\pi\) |
−0.431866 | + | 0.901938i | \(0.642145\pi\) | |||||||
\(734\) | 398.586 | + | 84.2299i | 0.543033 | + | 0.114755i | ||||
\(735\) | −16.1363 | + | 931.361i | −0.0219541 | + | 1.26716i | ||||
\(736\) | 58.9194 | − | 34.4829i | 0.0800535 | − | 0.0468518i | ||||
\(737\) | −159.475 | + | 92.0732i | −0.216385 | + | 0.124930i | ||||
\(738\) | −388.521 | − | 172.310i | −0.526451 | − | 0.233483i | ||||
\(739\) | −1106.45 | − | 638.807i | −1.49722 | − | 0.864421i | −0.497227 | − | 0.867621i | \(-0.665648\pi\) |
−0.999995 | + | 0.00319951i | \(0.998982\pi\) | |||||||
\(740\) | 1652.54 | − | 177.639i | 2.23317 | − | 0.240053i | ||||
\(741\) | 11.2998 | + | 13.9505i | 0.0152495 | + | 0.0188265i | ||||
\(742\) | −31.0141 | − | 95.0692i | −0.0417980 | − | 0.128126i | ||||
\(743\) | 578.271 | − | 689.156i | 0.778292 | − | 0.927532i | −0.220563 | − | 0.975373i | \(-0.570790\pi\) |
0.998855 | + | 0.0478408i | \(0.0152340\pi\) | |||||||
\(744\) | −1214.67 | − | 613.296i | −1.63263 | − | 0.824322i | ||||
\(745\) | −525.996 | − | 191.447i | −0.706034 | − | 0.256975i | ||||
\(746\) | 389.439 | + | 730.344i | 0.522036 | + | 0.979013i | ||||
\(747\) | −152.011 | − | 136.800i | −0.203496 | − | 0.183133i | ||||
\(748\) | 1097.82 | + | 736.722i | 1.46768 | + | 0.984923i | ||||
\(749\) | 39.1665 | + | 222.124i | 0.0522917 | + | 0.296561i | ||||
\(750\) | −884.916 | − | 1731.13i | −1.17989 | − | 2.30817i | ||||
\(751\) | −710.580 | + | 258.630i | −0.946178 | + | 0.344381i | −0.768603 | − | 0.639727i | \(-0.779048\pi\) |
−0.177575 | + | 0.984107i | \(0.556825\pi\) | |||||||
\(752\) | −143.018 | + | 130.003i | −0.190183 | + | 0.172877i | ||||
\(753\) | −168.880 | − | 32.8042i | −0.224276 | − | 0.0435647i | ||||
\(754\) | 27.6381 | + | 194.983i | 0.0366553 | + | 0.258599i | ||||
\(755\) | 1326.43 | 1.75687 | ||||||||
\(756\) | 50.4037 | − | 420.059i | 0.0666716 | − | 0.555634i | ||||
\(757\) | − | 873.422i | − | 1.15379i | −0.816817 | − | 0.576897i | \(-0.804263\pi\) | ||
0.816817 | − | 0.576897i | \(-0.195737\pi\) | |||||||
\(758\) | −100.350 | − | 707.953i | −0.132387 | − | 0.933975i | ||||
\(759\) | −62.6635 | + | 21.5859i | −0.0825607 | + | 0.0284399i | ||||
\(760\) | −13.0391 | + | 46.0889i | −0.0171567 | + | 0.0606433i | ||||
\(761\) | 403.599 | + | 1108.88i | 0.530353 | + | 1.45713i | 0.858651 | + | 0.512560i | \(0.171303\pi\) |
−0.328298 | + | 0.944574i | \(0.606475\pi\) | |||||||
\(762\) | 617.595 | + | 31.5548i | 0.810492 | + | 0.0414105i | ||||
\(763\) | 19.8042 | − | 3.49201i | 0.0259557 | − | 0.00457668i | ||||
\(764\) | −1188.27 | − | 797.420i | −1.55533 | − | 1.04374i | ||||
\(765\) | −91.8079 | + | 2648.71i | −0.120010 | + | 3.46237i | ||||
\(766\) | 409.041 | + | 767.107i | 0.533997 | + | 1.00145i | ||||
\(767\) | 196.008 | − | 538.528i | 0.255552 | − | 0.702123i | ||||
\(768\) | 306.843 | + | 704.040i | 0.399535 | + | 0.916718i | ||||
\(769\) | −933.341 | − | 783.166i | −1.21371 | − | 1.01842i | −0.999130 | − | 0.0417150i | \(-0.986718\pi\) |
−0.214578 | − | 0.976707i | \(-0.568838\pi\) | |||||||
\(770\) | −232.152 | − | 711.628i | −0.301496 | − | 0.924192i | ||||
\(771\) | 15.6751 | + | 98.8860i | 0.0203309 | + | 0.128257i | ||||
\(772\) | −4.09461 | − | 38.0914i | −0.00530390 | − | 0.0493412i | ||||
\(773\) | 343.120 | − | 594.302i | 0.443881 | − | 0.768825i | −0.554092 | − | 0.832455i | \(-0.686934\pi\) |
0.997974 | + | 0.0636301i | \(0.0202678\pi\) | |||||||
\(774\) | −899.072 | − | 61.5676i | −1.16159 | − | 0.0795447i | ||||
\(775\) | −1704.34 | − | 2952.00i | −2.19915 | − | 3.80903i | ||||
\(776\) | 964.674 | − | 70.8941i | 1.24314 | − | 0.0913583i | ||||
\(777\) | 256.657 | + | 462.880i | 0.330318 | + | 0.595728i | ||||
\(778\) | 160.209 | + | 33.8557i | 0.205924 | + | 0.0435163i | ||||
\(779\) | −2.66079 | + | 15.0901i | −0.00341565 | + | 0.0193711i | ||||
\(780\) | 723.716 | + | 720.116i | 0.927841 | + | 0.923226i | ||||
\(781\) | −147.364 | − | 175.622i | −0.188687 | − | 0.224868i | ||||
\(782\) | −115.578 | − | 72.0312i | −0.147798 | − | 0.0921115i | ||||
\(783\) | 286.140 | − | 35.2464i | 0.365440 | − | 0.0450146i | ||||
\(784\) | 329.507 | − | 425.884i | 0.420289 | − | 0.543219i | ||||
\(785\) | 415.884 | + | 495.631i | 0.529789 | + | 0.631378i | ||||
\(786\) | 725.222 | + | 674.505i | 0.922675 | + | 0.858149i | ||||
\(787\) | 278.322 | + | 49.0758i | 0.353650 | + | 0.0623580i | 0.347651 | − | 0.937624i | \(-0.386979\pi\) |
0.00599885 | + | 0.999982i | \(0.498090\pi\) | |||||||
\(788\) | 862.587 | + | 829.060i | 1.09465 | + | 1.05211i | ||||
\(789\) | −705.476 | + | 1174.45i | −0.894140 | + | 1.48854i | ||||
\(790\) | −658.683 | + | 1635.86i | −0.833775 | + | 2.07071i | ||||
\(791\) | 81.0130 | − | 46.7729i | 0.102418 | − | 0.0591313i | ||||
\(792\) | −157.792 | − | 728.712i | −0.199233 | − | 0.920092i | ||||
\(793\) | −198.717 | + | 344.188i | −0.250589 | + | 0.434033i | ||||
\(794\) | 177.624 | − | 139.113i | 0.223707 | − | 0.175205i | ||||
\(795\) | 126.562 | − | 329.832i | 0.159197 | − | 0.414884i | ||||
\(796\) | 67.6003 | − | 273.886i | 0.0849250 | − | 0.344078i | ||||
\(797\) | −394.132 | − | 330.716i | −0.494519 | − | 0.414951i | 0.361124 | − | 0.932518i | \(-0.382393\pi\) |
−0.855642 | + | 0.517567i | \(0.826838\pi\) | |||||||
\(798\) | −15.1366 | + | 1.87870i | −0.0189682 | + | 0.00235426i | ||||
\(799\) | 362.304 | + | 131.868i | 0.453447 | + | 0.165041i | ||||
\(800\) | −322.878 | + | 1896.59i | −0.403597 | + | 2.37074i | ||||
\(801\) | −671.140 | − | 858.562i | −0.837878 | − | 1.07186i | ||||
\(802\) | −578.950 | − | 19.5324i | −0.721882 | − | 0.0243546i | ||||
\(803\) | −190.946 | − | 1082.91i | −0.237791 | − | 1.34858i | ||||
\(804\) | 90.6637 | + | 193.170i | 0.112766 | + | 0.240261i | ||||
\(805\) | 26.3712 | + | 72.4544i | 0.0327593 | + | 0.0900055i | ||||
\(806\) | 777.904 | + | 698.765i | 0.965142 | + | 0.866955i | ||||
\(807\) | −367.430 | + | 422.790i | −0.455303 | + | 0.523904i | ||||
\(808\) | −95.1112 | − | 139.935i | −0.117712 | − | 0.173187i | ||||
\(809\) | − | 1348.61i | − | 1.66701i | −0.552509 | − | 0.833507i | \(-0.686330\pi\) | ||
0.552509 | − | 0.833507i | \(-0.313670\pi\) | |||||||
\(810\) | 1073.38 | − | 1040.08i | 1.32516 | − | 1.28405i | ||||
\(811\) | 1368.20i | 1.68706i | 0.537085 | + | 0.843528i | \(0.319525\pi\) | ||||
−0.537085 | + | 0.843528i | \(0.680475\pi\) | |||||||
\(812\) | −153.010 | − | 67.6917i | −0.188436 | − | 0.0833642i | ||||
\(813\) | 515.581 | − | 593.263i | 0.634171 | − | 0.729721i | ||||
\(814\) | 693.917 | + | 623.322i | 0.852478 | + | 0.765752i | ||||
\(815\) | −871.544 | − | 2394.55i | −1.06938 | − | 2.93809i | ||||
\(816\) | 958.362 | − | 1195.30i | 1.17446 | − | 1.46483i | ||||
\(817\) | 5.64177 | + | 31.9960i | 0.00690547 | + | 0.0391629i | ||||
\(818\) | −8.51926 | + | 252.515i | −0.0104147 | + | 0.308698i | ||||
\(819\) | −121.712 | + | 301.472i | −0.148610 | + | 0.368098i | ||||
\(820\) | −58.7305 | + | 869.409i | −0.0716225 | + | 1.06025i | ||||
\(821\) | −444.400 | − | 161.748i | −0.541291 | − | 0.197014i | 0.0568818 | − | 0.998381i | \(-0.481884\pi\) |
−0.598173 | + | 0.801367i | \(0.704106\pi\) | |||||||
\(822\) | 436.130 | − | 54.1307i | 0.530572 | − | 0.0658524i | ||||
\(823\) | −623.738 | − | 523.378i | −0.757883 | − | 0.635939i | 0.179692 | − | 0.983723i | \(-0.442490\pi\) |
−0.937575 | + | 0.347784i | \(0.886934\pi\) | |||||||
\(824\) | 790.243 | − | 768.562i | 0.959033 | − | 0.932721i | ||||
\(825\) | 669.122 | − | 1743.80i | 0.811057 | − | 2.11369i | ||||
\(826\) | 300.219 | + | 383.328i | 0.363461 | + | 0.464078i | ||||
\(827\) | −490.273 | + | 849.177i | −0.592833 | + | 1.02682i | 0.401016 | + | 0.916071i | \(0.368657\pi\) |
−0.993849 | + | 0.110745i | \(0.964676\pi\) | |||||||
\(828\) | 18.7754 | + | 74.4715i | 0.0226756 | + | 0.0899415i | ||||
\(829\) | 611.531 | − | 353.067i | 0.737673 | − | 0.425895i | −0.0835499 | − | 0.996504i | \(-0.526626\pi\) |
0.821222 | + | 0.570608i | \(0.193292\pi\) | |||||||
\(830\) | −156.607 | + | 388.938i | −0.188683 | + | 0.468601i | ||||
\(831\) | −340.764 | + | 567.292i | −0.410065 | + | 0.682662i | ||||
\(832\) | −86.2786 | − | 583.837i | −0.103700 | − | 0.701727i | ||||
\(833\) | −1057.86 | − | 186.529i | −1.26994 | − | 0.223925i | ||||
\(834\) | 433.267 | − | 465.845i | 0.519505 | − | 0.558568i | ||||
\(835\) | 672.423 | + | 801.362i | 0.805297 | + | 0.959715i | ||||
\(836\) | −24.1323 | + | 11.8408i | −0.0288664 | + | 0.0141636i | ||||
\(837\) | 1043.58 | − | 1119.97i | 1.24681 | − | 1.33808i | ||||
\(838\) | −648.503 | − | 404.165i | −0.773870 | − | 0.482297i | ||||
\(839\) | 894.241 | + | 1065.72i | 1.06584 | + | 1.27022i | 0.961242 | + | 0.275706i | \(0.0889117\pi\) |
0.104600 | + | 0.994514i | \(0.466644\pi\) | |||||||
\(840\) | −844.449 | + | 198.228i | −1.00530 | + | 0.235985i | ||||
\(841\) | −126.239 | + | 715.939i | −0.150106 | + | 0.851295i | ||||
\(842\) | 218.250 | − | 1032.79i | 0.259204 | − | 1.22659i | ||||
\(843\) | 523.625 | + | 944.357i | 0.621145 | + | 1.12023i | ||||
\(844\) | −197.798 | − | 270.897i | −0.234358 | − | 0.320968i | ||||
\(845\) | 387.328 | + | 670.872i | 0.458376 | + | 0.793931i | ||||
\(846\) | −95.5980 | − | 195.290i | −0.113000 | − | 0.230840i | ||||
\(847\) | −26.9557 | + | 46.6887i | −0.0318249 | + | 0.0551224i | ||||
\(848\) | −172.676 | + | 109.038i | −0.203627 | + | 0.128582i | ||||
\(849\) | 120.241 | + | 758.534i | 0.141626 | + | 0.893444i | ||||
\(850\) | 3648.64 | − | 1190.28i | 4.29252 | − | 1.40033i | ||||
\(851\) | −73.6024 | − | 61.7597i | −0.0864893 | − | 0.0725731i | ||||
\(852\) | −217.238 | + | 152.920i | −0.254975 | + | 0.179484i | ||||
\(853\) | 124.495 | − | 342.047i | 0.145949 | − | 0.400992i | −0.845080 | − | 0.534641i | \(-0.820447\pi\) |
0.991029 | + | 0.133648i | \(0.0426692\pi\) | |||||||
\(854\) | −158.875 | − | 297.951i | −0.186037 | − | 0.348889i | ||||
\(855\) | −45.7045 | − | 28.5429i | −0.0534556 | − | 0.0333835i | ||||
\(856\) | 420.131 | − | 188.842i | 0.490808 | − | 0.220610i | ||||
\(857\) | −646.569 | + | 114.008i | −0.754456 | + | 0.133031i | −0.537632 | − | 0.843180i | \(-0.680681\pi\) |
−0.216824 | + | 0.976211i | \(0.569570\pi\) | |||||||
\(858\) | −29.2364 | + | 572.218i | −0.0340750 | + | 0.666921i | ||||
\(859\) | 281.344 | + | 772.987i | 0.327525 | + | 0.899868i | 0.988736 | + | 0.149668i | \(0.0478205\pi\) |
−0.661211 | + | 0.750200i | \(0.729957\pi\) | |||||||
\(860\) | 513.474 | + | 1774.85i | 0.597063 | + | 2.06378i | ||||
\(861\) | −262.359 | + | 90.3756i | −0.304715 | + | 0.104966i | ||||
\(862\) | −125.946 | − | 888.535i | −0.146109 | − | 1.03078i | ||||
\(863\) | − | 40.1634i | − | 0.0465393i | −0.999729 | − | 0.0232696i | \(-0.992592\pi\) | ||
0.999729 | − | 0.0232696i | \(-0.00740762\pi\) | |||||||
\(864\) | −856.880 | + | 110.693i | −0.991759 | + | 0.128117i | ||||
\(865\) | 1143.84 | 1.32236 | ||||||||
\(866\) | −1001.29 | + | 141.928i | −1.15622 | + | 0.163890i | ||||
\(867\) | −2149.08 | − | 417.450i | −2.47876 | − | 0.481488i | ||||
\(868\) | −853.405 | + | 246.894i | −0.983185 | + | 0.284440i | ||||
\(869\) | −930.002 | + | 338.493i | −1.07020 | + | 0.389520i | ||||
\(870\) | −269.040 | − | 526.314i | −0.309241 | − | 0.604958i | ||||
\(871\) | −28.4749 | − | 161.489i | −0.0326922 | − | 0.185407i | ||||
\(872\) | −16.8368 | − | 37.4581i | −0.0193082 | − | 0.0429565i | ||||
\(873\) | −225.970 | + | 1064.46i | −0.258844 | + | 1.21932i | ||||
\(874\) | 2.44325 | − | 1.30280i | 0.00279548 | − | 0.00149062i | ||||
\(875\) | −1192.79 | − | 434.141i | −1.36319 | − | 0.496161i | ||||
\(876\) | −1269.10 | + | 114.221i | −1.44875 | + | 0.130389i | ||||
\(877\) | −966.128 | + | 1151.39i | −1.10163 | + | 1.31287i | −0.155951 | + | 0.987765i | \(0.549844\pi\) |
−0.945678 | + | 0.325105i | \(0.894600\pi\) | |||||||
\(878\) | −1.18721 | − | 3.63923i | −0.00135218 | − | 0.00414491i | ||||
\(879\) | 395.015 | + | 487.673i | 0.449391 | + | 0.554804i | ||||
\(880\) | −1292.54 | + | 816.188i | −1.46879 | + | 0.927487i | ||||
\(881\) | −508.506 | − | 293.586i | −0.577192 | − | 0.333242i | 0.182825 | − | 0.983146i | \(-0.441476\pi\) |
−0.760017 | + | 0.649903i | \(0.774809\pi\) | |||||||
\(882\) | 356.775 | + | 489.573i | 0.404506 | + | 0.555072i | ||||
\(883\) | −948.952 | + | 547.878i | −1.07469 | + | 0.620473i | −0.929459 | − | 0.368925i | \(-0.879726\pi\) |
−0.145231 | + | 0.989398i | \(0.546393\pi\) | |||||||
\(884\) | −950.839 | + | 694.264i | −1.07561 | + | 0.785367i | ||||
\(885\) | −29.7975 | + | 1719.87i | −0.0336695 | + | 1.94335i | ||||
\(886\) | −401.001 | − | 84.7403i | −0.452597 | − | 0.0956437i | ||||
\(887\) | −65.5152 | − | 11.5521i | −0.0738616 | − | 0.0130238i | 0.136595 | − | 0.990627i | \(-0.456384\pi\) |
−0.210457 | + | 0.977603i | \(0.567495\pi\) | |||||||
\(888\) | 787.796 | − | 740.063i | 0.887158 | − | 0.833404i | ||||
\(889\) | 309.288 | − | 259.524i | 0.347906 | − | 0.291928i | ||||
\(890\) | −1181.74 | + | 1896.16i | −1.32780 | + | 2.13052i | ||||
\(891\) | 836.788 | + | 58.0782i | 0.939156 | + | 0.0651831i | ||||
\(892\) | 75.1702 | + | 153.202i | 0.0842715 | + | 0.171751i | ||||
\(893\) | −6.00503 | + | 5.03881i | −0.00672455 | + | 0.00564257i | ||||
\(894\) | −347.977 | + | 106.886i | −0.389236 | + | 0.119560i | ||||
\(895\) | −103.916 | + | 589.337i | −0.116107 | + | 0.658477i | ||||
\(896\) | 459.740 | + | 200.149i | 0.513103 | + | 0.223381i | ||||
\(897\) | 1.02238 | − | 59.0104i | 0.00113978 | − | 0.0657864i | ||||
\(898\) | −172.347 | − | 69.3958i | −0.191923 | − | 0.0772782i | ||||
\(899\) | −302.700 | − | 524.292i | −0.336707 | − | 0.583194i | ||||
\(900\) | −1947.80 | − | 943.690i | −2.16422 | − | 1.04854i | ||||
\(901\) | 352.813 | + | 203.697i | 0.391579 | + | 0.226078i | ||||
\(902\) | −385.007 | + | 301.534i | −0.426837 | + | 0.334294i | ||||
\(903\) | −457.201 | + | 370.332i | −0.506313 | + | 0.410113i | ||||
\(904\) | −133.194 | − | 136.951i | −0.147338 | − | 0.151495i | ||||
\(905\) | −928.335 | + | 1106.35i | −1.02578 | + | 1.22248i | ||||
\(906\) | 688.235 | − | 520.038i | 0.759641 | − | 0.573994i | ||||
\(907\) | −167.009 | + | 458.852i | −0.184133 | + | 0.505901i | −0.997074 | − | 0.0764451i | \(-0.975643\pi\) |
0.812941 | + | 0.582346i | \(0.197865\pi\) | |||||||
\(908\) | −298.645 | − | 20.1741i | −0.328904 | − | 0.0222182i | ||||
\(909\) | 181.017 | − | 58.8677i | 0.199138 | − | 0.0647609i | ||||
\(910\) | 666.186 | + | 22.4756i | 0.732073 | + | 0.0246984i | ||||
\(911\) | 188.809 | − | 33.2920i | 0.207254 | − | 0.0365445i | −0.0690571 | − | 0.997613i | \(-0.521999\pi\) |
0.276311 | + | 0.961068i | \(0.410888\pi\) | |||||||
\(912\) | 11.3040 | + | 29.0258i | 0.0123947 | + | 0.0318266i | ||||
\(913\) | −221.115 | + | 80.4794i | −0.242185 | + | 0.0881483i | ||||
\(914\) | −1031.95 | + | 1148.83i | −1.12905 | + | 1.25692i | ||||
\(915\) | 227.464 | − | 1171.01i | 0.248594 | − | 1.27979i | ||||
\(916\) | −642.208 | + | 1451.65i | −0.701101 | + | 1.58477i | ||||
\(917\) | 646.626 | 0.705153 | ||||||||
\(918\) | 990.812 | + | 1410.31i | 1.07932 | + | 1.53628i | ||||
\(919\) | 1458.70 | 1.58727 | 0.793637 | − | 0.608392i | \(-0.208185\pi\) | ||||
0.793637 | + | 0.608392i | \(0.208185\pi\) | |||||||
\(920\) | 130.230 | − | 88.5143i | 0.141554 | − | 0.0962112i | ||||
\(921\) | 834.270 | − | 287.383i | 0.905831 | − | 0.312034i | ||||
\(922\) | −394.487 | + | 439.165i | −0.427860 | + | 0.476318i | ||||
\(923\) | 191.840 | − | 69.8241i | 0.207844 | − | 0.0756491i | ||||
\(924\) | −399.454 | − | 278.219i | −0.432309 | − | 0.301103i | ||||
\(925\) | 2666.54 | − | 470.183i | 2.88274 | − | 0.508306i | ||||
\(926\) | 28.9017 | − | 856.661i | 0.0312114 | − | 0.925120i | ||||
\(927\) | 582.495 | + | 1094.83i | 0.628366 | + | 1.18105i | ||||
\(928\) | −57.3448 | + | 336.845i | −0.0617940 | + | 0.362980i | ||||
\(929\) | −268.264 | + | 737.050i | −0.288767 | + | 0.793380i | 0.707473 | + | 0.706740i | \(0.249835\pi\) |
−0.996240 | + | 0.0866397i | \(0.972387\pi\) | |||||||
\(930\) | −2890.65 | − | 1222.54i | −3.10823 | − | 1.31456i | ||||
\(931\) | 14.0384 | − | 16.7303i | 0.0150788 | − | 0.0179703i | ||||
\(932\) | −1145.47 | − | 282.724i | −1.22904 | − | 0.303351i | ||||
\(933\) | 163.506 | + | 1031.47i | 0.175247 | + | 1.10554i | ||||
\(934\) | −288.483 | − | 368.344i | −0.308869 | − | 0.394372i | ||||
\(935\) | 2640.93 | + | 1524.74i | 2.82453 | + | 1.63074i | ||||
\(936\) | 657.835 | + | 89.9021i | 0.702816 | + | 0.0960492i | ||||
\(937\) | −498.746 | − | 863.853i | −0.532279 | − | 0.921935i | −0.999290 | − | 0.0376831i | \(-0.988002\pi\) |
0.467010 | − | 0.884252i | \(-0.345331\pi\) | |||||||
\(938\) | 129.236 | + | 52.0371i | 0.137778 | + | 0.0554767i | ||||
\(939\) | −11.3645 | + | 6.30138i | −0.0121028 | + | 0.00671073i | ||||
\(940\) | −308.915 | + | 321.407i | −0.328633 | + | 0.341923i | ||||
\(941\) | 188.816 | − | 1070.83i | 0.200655 | − | 1.13797i | −0.703477 | − | 0.710718i | \(-0.748370\pi\) |
0.904132 | − | 0.427253i | \(-0.140518\pi\) | |||||||
\(942\) | 410.102 | + | 94.1133i | 0.435353 | + | 0.0999080i | ||||
\(943\) | 38.5884 | − | 32.3795i | 0.0409209 | − | 0.0343367i | ||||
\(944\) | 608.473 | − | 786.444i | 0.644569 | − | 0.833097i | ||||
\(945\) | 50.6922 | − | 974.511i | 0.0536425 | − | 1.03123i | ||||
\(946\) | −548.440 | + | 879.999i | −0.579746 | + | 0.930232i | ||||
\(947\) | 295.194 | − | 247.697i | 0.311715 | − | 0.261560i | −0.473485 | − | 0.880802i | \(-0.657004\pi\) |
0.785200 | + | 0.619242i | \(0.212560\pi\) | |||||||
\(948\) | 299.587 | + | 1107.03i | 0.316020 | + | 1.16775i | ||||
\(949\) | 964.321 | + | 170.036i | 1.01614 | + | 0.179174i | ||||
\(950\) | −16.1333 | + | 76.3445i | −0.0169824 | + | 0.0803627i | ||||
\(951\) | −1406.85 | − | 845.073i | −1.47934 | − | 0.888615i | ||||
\(952\) | −73.3119 | − | 997.574i | −0.0770083 | − | 1.04787i | ||||
\(953\) | −262.318 | + | 151.450i | −0.275255 | + | 0.158919i | −0.631274 | − | 0.775560i | \(-0.717467\pi\) |
0.356018 | + | 0.934479i | \(0.384134\pi\) | |||||||
\(954\) | −63.6454 | − | 220.757i | −0.0667142 | − | 0.231401i | ||||
\(955\) | −2858.51 | − | 1650.36i | −2.99321 | − | 1.72813i | ||||
\(956\) | 306.369 | − | 32.9329i | 0.320469 | − | 0.0344487i | ||||
\(957\) | 118.840 | − | 309.708i | 0.124179 | − | 0.323624i | ||||
\(958\) | −970.316 | + | 316.543i | −1.01286 | + | 0.330421i | ||||
\(959\) | 184.435 | − | 219.801i | 0.192320 | − | 0.229198i | ||||
\(960\) | 815.580 | + | 1572.49i | 0.849562 | + | 1.63801i | ||||
\(961\) | −2117.62 | − | 770.750i | −2.20356 | − | 0.802029i | ||||
\(962\) | −732.931 | + | 390.818i | −0.761883 | + | 0.406256i | ||||
\(963\) | 72.2523 | + | 513.137i | 0.0750283 | + | 0.532852i | ||||
\(964\) | −32.9725 | + | 49.1338i | −0.0342038 | + | 0.0509687i | ||||
\(965\) | −15.3444 | − | 87.0226i | −0.0159010 | − | 0.0901788i | ||||
\(966\) | 42.0893 | + | 27.2547i | 0.0435707 | + | 0.0282140i | ||||
\(967\) | 804.337 | − | 292.755i | 0.831786 | − | 0.302745i | 0.109194 | − | 0.994020i | \(-0.465173\pi\) |
0.722592 | + | 0.691275i | \(0.242951\pi\) | |||||||
\(968\) | 105.940 | + | 29.9718i | 0.109442 | + | 0.0309626i | ||||
\(969\) | 40.7606 | − | 46.9020i | 0.0420646 | − | 0.0484024i | ||||
\(970\) | 2208.97 | − | 313.112i | 2.27729 | − | 0.322796i | ||||
\(971\) | 1093.20 | 1.12585 | 0.562925 | − | 0.826508i | \(-0.309676\pi\) | ||||
0.562925 | + | 0.826508i | \(0.309676\pi\) | |||||||
\(972\) | 149.163 | − | 960.487i | 0.153460 | − | 0.988155i | ||||
\(973\) | − | 415.359i | − | 0.426885i | ||||||
\(974\) | −897.700 | + | 127.246i | −0.921664 | + | 0.130642i | ||||
\(975\) | 1255.40 | + | 1091.01i | 1.28759 | + | 1.11899i | ||||
\(976\) | −510.268 | + | 463.834i | −0.522816 | + | 0.475240i | ||||
\(977\) | −562.511 | − | 1545.49i | −0.575753 | − | 1.58187i | −0.795267 | − | 0.606259i | \(-0.792669\pi\) |
0.219514 | − | 0.975609i | \(-0.429553\pi\) | |||||||
\(978\) | −1391.01 | − | 900.742i | −1.42230 | − | 0.921004i | ||||
\(979\) | −1234.84 | + | 217.735i | −1.26133 | + | 0.222406i | ||||
\(980\) | 692.082 | − | 1031.30i | 0.706206 | − | 1.05235i | ||||
\(981\) | 45.7503 | − | 6.44187i | 0.0466364 | − | 0.00656664i | ||||
\(982\) | 988.566 | − | 527.129i | 1.00669 | − | 0.536791i | ||||
\(983\) | 5.27861 | − | 14.5029i | 0.00536990 | − | 0.0147537i | −0.936979 | − | 0.349386i | \(-0.886390\pi\) |
0.942349 | + | 0.334633i | \(0.108612\pi\) | |||||||
\(984\) | 310.386 | + | 474.128i | 0.315432 | + | 0.481838i | ||||
\(985\) | 2113.94 | + | 1773.81i | 2.14613 | + | 1.80082i | ||||
\(986\) | 648.018 | − | 211.401i | 0.657220 | − | 0.214403i | ||||
\(987\) | −132.538 | − | 50.8567i | −0.134283 | − | 0.0515266i | ||||
\(988\) | −2.55836 | − | 23.7999i | −0.00258943 | − | 0.0240890i | ||||
\(989\) | 53.4044 | − | 92.4991i | 0.0539984 | − | 0.0935280i | ||||
\(990\) | −476.409 | − | 1652.44i | −0.481221 | − | 1.66914i | ||||
\(991\) | 409.122 | + | 708.620i | 0.412837 | + | 0.715055i | 0.995199 | − | 0.0978748i | \(-0.0312045\pi\) |
−0.582361 | + | 0.812930i | \(0.697871\pi\) | |||||||
\(992\) | 916.416 | + | 1565.84i | 0.923806 | + | 1.57847i | ||||
\(993\) | −886.921 | + | 1476.52i | −0.893173 | + | 1.48693i | ||||
\(994\) | −35.8616 | + | 169.701i | −0.0360780 | + | 0.170726i | ||||
\(995\) | 112.990 | − | 640.798i | 0.113558 | − | 0.644018i | ||||
\(996\) | 71.2291 | + | 263.204i | 0.0715151 | + | 0.264261i | ||||
\(997\) | −693.213 | − | 826.139i | −0.695299 | − | 0.828625i | 0.296687 | − | 0.954975i | \(-0.404118\pi\) |
−0.991986 | + | 0.126350i | \(0.959674\pi\) | |||||||
\(998\) | 84.7199 | − | 135.937i | 0.0848897 | − | 0.136210i | ||||
\(999\) | 552.472 | + | 1083.25i | 0.553025 | + | 1.08433i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 216.3.x.a.5.2 | ✓ | 420 | |
8.5 | even | 2 | inner | 216.3.x.a.5.42 | yes | 420 | |
27.11 | odd | 18 | inner | 216.3.x.a.173.42 | yes | 420 | |
216.173 | odd | 18 | inner | 216.3.x.a.173.2 | yes | 420 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
216.3.x.a.5.2 | ✓ | 420 | 1.1 | even | 1 | trivial | |
216.3.x.a.5.42 | yes | 420 | 8.5 | even | 2 | inner | |
216.3.x.a.173.2 | yes | 420 | 216.173 | odd | 18 | inner | |
216.3.x.a.173.42 | yes | 420 | 27.11 | odd | 18 | inner |