Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [105,3,Mod(11,105)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(105, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 0, 4]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("105.11");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 105 = 3 \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 105.t (of order \(6\), degree \(2\), 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: | \(2.86104277578\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 11.10 | ||
Character | \(\chi\) | \(=\) | 105.11 |
Dual form | 105.3.t.b.86.10 |
$q$-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 \(\left(\mathbb{Z}/105\mathbb{Z}\right)^\times\).
\(n\) | \(22\) | \(31\) | \(71\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.644768 | − | 0.372257i | 0.322384 | − | 0.186129i | −0.330071 | − | 0.943956i | \(-0.607073\pi\) |
0.652455 | + | 0.757828i | \(0.273739\pi\) | |||||||
\(3\) | 0.164184 | + | 2.99550i | 0.0547279 | + | 0.998501i | ||||
\(4\) | −1.72285 | + | 2.98406i | −0.430712 | + | 0.746016i | ||||
\(5\) | −1.93649 | + | 1.11803i | −0.387298 | + | 0.223607i | ||||
\(6\) | 1.22096 | + | 1.87029i | 0.203493 | + | 0.311715i | ||||
\(7\) | −5.98242 | − | 3.63464i | −0.854632 | − | 0.519234i | ||||
\(8\) | 5.54343i | 0.692929i | ||||||||
\(9\) | −8.94609 | + | 0.983626i | −0.994010 | + | 0.109292i | ||||
\(10\) | −0.832392 | + | 1.44175i | −0.0832392 | + | 0.144175i | ||||
\(11\) | 8.35340 | + | 4.82284i | 0.759400 | + | 0.438440i | 0.829080 | − | 0.559130i | \(-0.188865\pi\) |
−0.0696804 | + | 0.997569i | \(0.522198\pi\) | |||||||
\(12\) | −9.22163 | − | 4.67087i | −0.768470 | − | 0.389239i | ||||
\(13\) | −0.0661184 | −0.00508603 | −0.00254302 | − | 0.999997i | \(-0.500809\pi\) | ||||
−0.00254302 | + | 0.999997i | \(0.500809\pi\) | |||||||
\(14\) | −5.21030 | − | 0.116499i | −0.372164 | − | 0.00832133i | ||||
\(15\) | −3.66702 | − | 5.61721i | −0.244468 | − | 0.374480i | ||||
\(16\) | −4.82782 | − | 8.36202i | −0.301739 | − | 0.522627i | ||||
\(17\) | 28.1197 | + | 16.2349i | 1.65410 | + | 0.954995i | 0.975361 | + | 0.220615i | \(0.0708064\pi\) |
0.678739 | + | 0.734380i | \(0.262527\pi\) | |||||||
\(18\) | −5.40199 | + | 3.96446i | −0.300111 | + | 0.220248i | ||||
\(19\) | 12.7759 | + | 22.1286i | 0.672418 | + | 1.16466i | 0.977216 | + | 0.212246i | \(0.0680777\pi\) |
−0.304798 | + | 0.952417i | \(0.598589\pi\) | |||||||
\(20\) | − | 7.70482i | − | 0.385241i | ||||||
\(21\) | 9.90535 | − | 18.5171i | 0.471684 | − | 0.881768i | ||||
\(22\) | 7.18134 | 0.326425 | ||||||||
\(23\) | 8.49789 | − | 4.90626i | 0.369473 | − | 0.213316i | −0.303755 | − | 0.952750i | \(-0.598240\pi\) |
0.673228 | + | 0.739435i | \(0.264907\pi\) | |||||||
\(24\) | −16.6054 | + | 0.910141i | −0.691890 | + | 0.0379225i | ||||
\(25\) | 2.50000 | − | 4.33013i | 0.100000 | − | 0.173205i | ||||
\(26\) | −0.0426310 | + | 0.0246130i | −0.00163966 | + | 0.000946655i | ||||
\(27\) | −4.41526 | − | 26.6365i | −0.163528 | − | 0.986539i | ||||
\(28\) | 21.1528 | − | 11.5900i | 0.755457 | − | 0.413928i | ||||
\(29\) | 6.58972i | 0.227232i | 0.993525 | + | 0.113616i | \(0.0362433\pi\) | ||||
−0.993525 | + | 0.113616i | \(0.963757\pi\) | |||||||
\(30\) | −4.45542 | − | 2.25672i | −0.148514 | − | 0.0752241i | ||||
\(31\) | −16.4028 | + | 28.4105i | −0.529123 | + | 0.916467i | 0.470301 | + | 0.882506i | \(0.344146\pi\) |
−0.999423 | + | 0.0339609i | \(0.989188\pi\) | |||||||
\(32\) | −25.4286 | − | 14.6812i | −0.794645 | − | 0.458789i | ||||
\(33\) | −13.0753 | + | 25.8145i | −0.396222 | + | 0.782257i | ||||
\(34\) | 24.1742 | 0.711007 | ||||||||
\(35\) | 15.6486 | + | 0.349891i | 0.447102 | + | 0.00999689i | ||||
\(36\) | 12.4776 | − | 28.3903i | 0.346599 | − | 0.788620i | ||||
\(37\) | −27.3632 | − | 47.3945i | −0.739546 | − | 1.28093i | −0.952700 | − | 0.303913i | \(-0.901707\pi\) |
0.213154 | − | 0.977019i | \(-0.431627\pi\) | |||||||
\(38\) | 16.4751 | + | 9.51187i | 0.433554 | + | 0.250312i | ||||
\(39\) | −0.0108556 | − | 0.198058i | −0.000278348 | − | 0.00507841i | ||||
\(40\) | −6.19774 | − | 10.7348i | −0.154944 | − | 0.268370i | ||||
\(41\) | − | 14.8128i | − | 0.361287i | −0.983549 | − | 0.180643i | \(-0.942182\pi\) | ||
0.983549 | − | 0.180643i | \(-0.0578180\pi\) | |||||||
\(42\) | −0.506474 | − | 15.6266i | −0.0120589 | − | 0.372062i | ||||
\(43\) | −14.3286 | −0.333223 | −0.166612 | − | 0.986023i | \(-0.553283\pi\) | ||||
−0.166612 | + | 0.986023i | \(0.553283\pi\) | |||||||
\(44\) | −28.7833 | + | 16.6180i | −0.654166 | + | 0.377683i | ||||
\(45\) | 16.2243 | − | 11.9068i | 0.360540 | − | 0.264596i | ||||
\(46\) | 3.65278 | − | 6.32680i | 0.0794082 | − | 0.137539i | ||||
\(47\) | 63.7562 | − | 36.8097i | 1.35652 | − | 0.783184i | 0.367363 | − | 0.930078i | \(-0.380261\pi\) |
0.989152 | + | 0.146893i | \(0.0469274\pi\) | |||||||
\(48\) | 24.2558 | − | 15.8347i | 0.505330 | − | 0.329889i | ||||
\(49\) | 22.5788 | + | 43.4879i | 0.460792 | + | 0.887508i | ||||
\(50\) | − | 3.72257i | − | 0.0744514i | ||||||
\(51\) | −44.0149 | + | 86.8982i | −0.863038 | + | 1.70389i | ||||
\(52\) | 0.113912 | − | 0.197301i | 0.00219062 | − | 0.00379426i | ||||
\(53\) | −44.3287 | − | 25.5932i | −0.836390 | − | 0.482890i | 0.0196455 | − | 0.999807i | \(-0.493746\pi\) |
−0.856036 | + | 0.516917i | \(0.827080\pi\) | |||||||
\(54\) | −12.7625 | − | 15.5308i | −0.236342 | − | 0.287607i | ||||
\(55\) | −21.5684 | −0.392152 | ||||||||
\(56\) | 20.1484 | − | 33.1631i | 0.359792 | − | 0.592199i | ||||
\(57\) | −64.1887 | + | 41.9036i | −1.12612 | + | 0.735150i | ||||
\(58\) | 2.45307 | + | 4.24884i | 0.0422943 | + | 0.0732558i | ||||
\(59\) | 75.2379 | + | 43.4386i | 1.27522 | + | 0.736248i | 0.975965 | − | 0.217926i | \(-0.0699292\pi\) |
0.299253 | + | 0.954174i | \(0.403263\pi\) | |||||||
\(60\) | 23.0798 | − | 1.26501i | 0.384663 | − | 0.0210834i | ||||
\(61\) | −12.5191 | − | 21.6838i | −0.205232 | − | 0.355472i | 0.744975 | − | 0.667093i | \(-0.232461\pi\) |
−0.950207 | + | 0.311621i | \(0.899128\pi\) | |||||||
\(62\) | 24.4242i | 0.393939i | ||||||||
\(63\) | 57.0944 | + | 26.6313i | 0.906261 | + | 0.422719i | ||||
\(64\) | 16.7618 | 0.261903 | ||||||||
\(65\) | 0.128038 | − | 0.0739226i | 0.00196981 | − | 0.00113727i | ||||
\(66\) | 1.17906 | + | 21.5117i | 0.0178645 | + | 0.325935i | ||||
\(67\) | 24.0411 | − | 41.6403i | 0.358822 | − | 0.621497i | −0.628943 | − | 0.777452i | \(-0.716512\pi\) |
0.987764 | + | 0.155954i | \(0.0498453\pi\) | |||||||
\(68\) | −96.8920 | + | 55.9406i | −1.42488 | + | 0.822656i | ||||
\(69\) | 16.0919 | + | 24.6499i | 0.233216 | + | 0.357245i | ||||
\(70\) | 10.2199 | − | 5.59969i | 0.145999 | − | 0.0799956i | ||||
\(71\) | 113.723i | 1.60173i | 0.598842 | + | 0.800867i | \(0.295628\pi\) | ||||
−0.598842 | + | 0.800867i | \(0.704372\pi\) | |||||||
\(72\) | −5.45266 | − | 49.5920i | −0.0757314 | − | 0.688778i | ||||
\(73\) | −21.2034 | + | 36.7253i | −0.290457 | + | 0.503086i | −0.973918 | − | 0.226901i | \(-0.927141\pi\) |
0.683461 | + | 0.729987i | \(0.260474\pi\) | |||||||
\(74\) | −35.2859 | − | 20.3723i | −0.476836 | − | 0.275301i | ||||
\(75\) | 13.3814 | + | 6.77782i | 0.178418 | + | 0.0903710i | ||||
\(76\) | −88.0441 | −1.15848 | ||||||||
\(77\) | −32.4443 | − | 59.2138i | −0.421355 | − | 0.769011i | ||||
\(78\) | −0.0807278 | − | 0.123660i | −0.00103497 | − | 0.00158539i | ||||
\(79\) | 9.49104 | + | 16.4390i | 0.120140 | + | 0.208088i | 0.919823 | − | 0.392334i | \(-0.128332\pi\) |
−0.799683 | + | 0.600423i | \(0.794999\pi\) | |||||||
\(80\) | 18.6981 | + | 10.7953i | 0.233726 | + | 0.134942i | ||||
\(81\) | 79.0650 | − | 17.5992i | 0.976111 | − | 0.217274i | ||||
\(82\) | −5.51416 | − | 9.55080i | −0.0672458 | − | 0.116473i | ||||
\(83\) | − | 46.8063i | − | 0.563932i | −0.959424 | − | 0.281966i | \(-0.909014\pi\) | ||
0.959424 | − | 0.281966i | \(-0.0909865\pi\) | |||||||
\(84\) | 38.1908 | + | 61.4604i | 0.454653 | + | 0.731672i | ||||
\(85\) | −72.6047 | −0.854173 | ||||||||
\(86\) | −9.23863 | + | 5.33393i | −0.107426 | + | 0.0620224i | ||||
\(87\) | −19.7395 | + | 1.08192i | −0.226891 | + | 0.0124359i | ||||
\(88\) | −26.7350 | + | 46.3065i | −0.303807 | + | 0.526210i | ||||
\(89\) | −45.4566 | + | 26.2444i | −0.510748 | + | 0.294881i | −0.733141 | − | 0.680077i | \(-0.761947\pi\) |
0.222393 | + | 0.974957i | \(0.428613\pi\) | |||||||
\(90\) | 6.02851 | − | 13.7167i | 0.0669835 | − | 0.152408i | ||||
\(91\) | 0.395548 | + | 0.240316i | 0.00434668 | + | 0.00264084i | ||||
\(92\) | 33.8110i | 0.367511i | ||||||||
\(93\) | −87.7968 | − | 44.4701i | −0.944052 | − | 0.478173i | ||||
\(94\) | 27.4053 | − | 47.4674i | 0.291546 | − | 0.504972i | ||||
\(95\) | −49.4810 | − | 28.5679i | −0.520853 | − | 0.300715i | ||||
\(96\) | 39.8027 | − | 78.5820i | 0.414612 | − | 0.818563i | ||||
\(97\) | 147.764 | 1.52334 | 0.761670 | − | 0.647965i | \(-0.224380\pi\) | ||||
0.761670 | + | 0.647965i | \(0.224380\pi\) | |||||||
\(98\) | 30.7468 | + | 19.6345i | 0.313743 | + | 0.200352i | ||||
\(99\) | −79.4741 | − | 34.9289i | −0.802769 | − | 0.352817i | ||||
\(100\) | 8.61425 | + | 14.9203i | 0.0861425 | + | 0.149203i | ||||
\(101\) | −55.1994 | − | 31.8694i | −0.546529 | − | 0.315538i | 0.201192 | − | 0.979552i | \(-0.435518\pi\) |
−0.747721 | + | 0.664013i | \(0.768852\pi\) | |||||||
\(102\) | 3.96902 | + | 72.4140i | 0.0389119 | + | 0.709942i | ||||
\(103\) | 30.0287 | + | 52.0112i | 0.291541 | + | 0.504964i | 0.974174 | − | 0.225797i | \(-0.0724987\pi\) |
−0.682633 | + | 0.730761i | \(0.739165\pi\) | |||||||
\(104\) | − | 0.366523i | − | 0.00352426i | ||||||
\(105\) | 1.52114 | + | 46.9328i | 0.0144870 | + | 0.446979i | ||||
\(106\) | −38.1090 | −0.359518 | ||||||||
\(107\) | 17.4895 | − | 10.0976i | 0.163454 | − | 0.0943700i | −0.416042 | − | 0.909345i | \(-0.636583\pi\) |
0.579495 | + | 0.814976i | \(0.303250\pi\) | |||||||
\(108\) | 87.0919 | + | 32.7153i | 0.806407 | + | 0.302920i | ||||
\(109\) | 10.9584 | − | 18.9805i | 0.100536 | − | 0.174133i | −0.811370 | − | 0.584533i | \(-0.801278\pi\) |
0.911905 | + | 0.410400i | \(0.134611\pi\) | |||||||
\(110\) | −13.9066 | + | 8.02898i | −0.126424 | + | 0.0729908i | ||||
\(111\) | 137.478 | − | 89.7480i | 1.23854 | − | 0.808541i | ||||
\(112\) | −1.51088 | + | 67.5725i | −0.0134900 | + | 0.603326i | ||||
\(113\) | − | 59.9095i | − | 0.530172i | −0.964225 | − | 0.265086i | \(-0.914600\pi\) | ||
0.964225 | − | 0.265086i | \(-0.0854004\pi\) | |||||||
\(114\) | −25.7879 | + | 50.9128i | −0.226210 | + | 0.446603i | ||||
\(115\) | −10.9707 | + | 19.0019i | −0.0953976 | + | 0.165234i | ||||
\(116\) | −19.6641 | − | 11.3531i | −0.169518 | − | 0.0978714i | ||||
\(117\) | 0.591501 | − | 0.0650358i | 0.00505556 | − | 0.000555861i | ||||
\(118\) | 64.6813 | 0.548147 | ||||||||
\(119\) | −109.216 | − | 199.329i | −0.917781 | − | 1.67503i | ||||
\(120\) | 31.1386 | − | 20.3278i | 0.259488 | − | 0.169399i | ||||
\(121\) | −13.9805 | − | 24.2149i | −0.115541 | − | 0.200123i | ||||
\(122\) | −16.1439 | − | 9.32067i | −0.132327 | − | 0.0763989i | ||||
\(123\) | 44.3717 | − | 2.43201i | 0.360745 | − | 0.0197725i | ||||
\(124\) | −56.5191 | − | 97.8940i | −0.455799 | − | 0.789468i | ||||
\(125\) | 11.1803i | 0.0894427i | ||||||||
\(126\) | 46.7264 | − | 4.08278i | 0.370844 | − | 0.0324030i | ||||
\(127\) | 143.138 | 1.12707 | 0.563535 | − | 0.826092i | \(-0.309441\pi\) | ||||
0.563535 | + | 0.826092i | \(0.309441\pi\) | |||||||
\(128\) | 112.522 | − | 64.9646i | 0.879078 | − | 0.507536i | ||||
\(129\) | −2.35252 | − | 42.9214i | −0.0182366 | − | 0.332724i | ||||
\(130\) | 0.0550364 | − | 0.0953259i | 0.000423357 | − | 0.000733276i | ||||
\(131\) | 90.7189 | − | 52.3766i | 0.692511 | − | 0.399821i | −0.112041 | − | 0.993704i | \(-0.535739\pi\) |
0.804552 | + | 0.593882i | \(0.202406\pi\) | |||||||
\(132\) | −54.5052 | − | 83.4921i | −0.412918 | − | 0.632516i | ||||
\(133\) | 3.99826 | − | 178.819i | 0.0300621 | − | 1.34450i | ||||
\(134\) | − | 35.7978i | − | 0.267148i | ||||||
\(135\) | 38.3307 | + | 46.6450i | 0.283931 | + | 0.345519i | ||||
\(136\) | −89.9971 | + | 155.879i | −0.661743 | + | 1.14617i | ||||
\(137\) | −71.0097 | − | 40.9975i | −0.518319 | − | 0.299252i | 0.217928 | − | 0.975965i | \(-0.430070\pi\) |
−0.736247 | + | 0.676713i | \(0.763404\pi\) | |||||||
\(138\) | 19.5517 | + | 9.90315i | 0.141679 | + | 0.0717620i | ||||
\(139\) | 2.35082 | 0.0169124 | 0.00845618 | − | 0.999964i | \(-0.497308\pi\) | ||||
0.00845618 | + | 0.999964i | \(0.497308\pi\) | |||||||
\(140\) | −28.0042 | + | 46.0935i | −0.200030 | + | 0.329239i | ||||
\(141\) | 120.731 | + | 184.938i | 0.856250 | + | 1.31162i | ||||
\(142\) | 42.3342 | + | 73.3250i | 0.298128 | + | 0.516374i | ||||
\(143\) | −0.552313 | − | 0.318878i | −0.00386233 | − | 0.00222992i | ||||
\(144\) | 51.4152 | + | 70.0586i | 0.357050 | + | 0.486518i | ||||
\(145\) | −7.36753 | − | 12.7609i | −0.0508105 | − | 0.0880064i | ||||
\(146\) | 31.5724i | 0.216249i | ||||||||
\(147\) | −126.561 | + | 74.7749i | −0.860960 | + | 0.508673i | ||||
\(148\) | 188.571 | 1.27413 | ||||||||
\(149\) | 37.8609 | − | 21.8590i | 0.254100 | − | 0.146705i | −0.367540 | − | 0.930008i | \(-0.619800\pi\) |
0.621640 | + | 0.783303i | \(0.286467\pi\) | |||||||
\(150\) | 11.1510 | − | 0.611186i | 0.0743398 | − | 0.00407457i | ||||
\(151\) | 5.05119 | − | 8.74891i | 0.0334516 | − | 0.0579398i | −0.848815 | − | 0.528690i | \(-0.822683\pi\) |
0.882267 | + | 0.470750i | \(0.156017\pi\) | |||||||
\(152\) | −122.668 | + | 70.8226i | −0.807028 | + | 0.465938i | ||||
\(153\) | −267.530 | − | 117.580i | −1.74856 | − | 0.768495i | ||||
\(154\) | −42.9618 | − | 26.1016i | −0.278973 | − | 0.169491i | ||||
\(155\) | − | 73.3556i | − | 0.473262i | ||||||
\(156\) | 0.609720 | + | 0.308830i | 0.00390846 | + | 0.00197968i | ||||
\(157\) | −44.2055 | + | 76.5661i | −0.281564 | + | 0.487682i | −0.971770 | − | 0.235930i | \(-0.924186\pi\) |
0.690207 | + | 0.723612i | \(0.257520\pi\) | |||||||
\(158\) | 12.2390 | + | 7.06621i | 0.0774623 | + | 0.0447229i | ||||
\(159\) | 69.3864 | − | 136.989i | 0.436392 | − | 0.861564i | ||||
\(160\) | 65.6565 | 0.410353 | ||||||||
\(161\) | −68.6704 | − | 1.53542i | −0.426524 | − | 0.00953679i | ||||
\(162\) | 44.4271 | − | 40.7799i | 0.274242 | − | 0.251728i | ||||
\(163\) | −97.6632 | − | 169.158i | −0.599161 | − | 1.03778i | −0.992945 | − | 0.118574i | \(-0.962168\pi\) |
0.393784 | − | 0.919203i | \(-0.371166\pi\) | |||||||
\(164\) | 44.2022 | + | 25.5202i | 0.269526 | + | 0.155611i | ||||
\(165\) | −3.54118 | − | 64.6082i | −0.0214617 | − | 0.391565i | ||||
\(166\) | −17.4240 | − | 30.1792i | −0.104964 | − | 0.181803i | ||||
\(167\) | 197.023i | 1.17978i | 0.807485 | + | 0.589888i | \(0.200828\pi\) | ||||
−0.807485 | + | 0.589888i | \(0.799172\pi\) | |||||||
\(168\) | 102.648 | + | 54.9096i | 0.611002 | + | 0.326843i | ||||
\(169\) | −168.996 | −0.999974 | ||||||||
\(170\) | −46.8132 | + | 27.0276i | −0.275372 | + | 0.158986i | ||||
\(171\) | −136.061 | − | 185.398i | −0.795678 | − | 1.08420i | ||||
\(172\) | 24.6860 | − | 42.7575i | 0.143523 | − | 0.248590i | ||||
\(173\) | −68.0126 | + | 39.2671i | −0.393136 | + | 0.226977i | −0.683518 | − | 0.729934i | \(-0.739551\pi\) |
0.290382 | + | 0.956911i | \(0.406218\pi\) | |||||||
\(174\) | −12.3247 | + | 8.04577i | −0.0708314 | + | 0.0462400i | ||||
\(175\) | −30.6945 | + | 16.8181i | −0.175397 | + | 0.0961032i | ||||
\(176\) | − | 93.1351i | − | 0.529177i | ||||||
\(177\) | −117.768 | + | 232.507i | −0.665354 | + | 1.31360i | ||||
\(178\) | −19.5393 | + | 33.8431i | −0.109771 | + | 0.190130i | ||||
\(179\) | 235.188 | + | 135.786i | 1.31390 | + | 0.758581i | 0.982740 | − | 0.184993i | \(-0.0592261\pi\) |
0.331162 | + | 0.943574i | \(0.392559\pi\) | |||||||
\(180\) | 7.57866 | + | 68.9280i | 0.0421037 | + | 0.382933i | ||||
\(181\) | −293.315 | −1.62053 | −0.810264 | − | 0.586065i | \(-0.800676\pi\) | ||||
−0.810264 | + | 0.586065i | \(0.800676\pi\) | |||||||
\(182\) | 0.344496 | + | 0.00770270i | 0.00189284 | + | 4.23226e-5i | ||||
\(183\) | 62.8984 | − | 41.0612i | 0.343707 | − | 0.224378i | ||||
\(184\) | 27.1975 | + | 47.1074i | 0.147812 | + | 0.256019i | ||||
\(185\) | 105.977 | + | 61.1860i | 0.572850 | + | 0.330735i | ||||
\(186\) | −73.1629 | + | 4.01006i | −0.393349 | + | 0.0215595i | ||||
\(187\) | 156.597 | + | 271.233i | 0.837415 | + | 1.45045i | ||||
\(188\) | 253.670i | 1.34931i | ||||||||
\(189\) | −70.4002 | + | 175.399i | −0.372488 | + | 0.928037i | ||||
\(190\) | −42.5384 | −0.223886 | ||||||||
\(191\) | 164.055 | − | 94.7172i | 0.858927 | − | 0.495902i | −0.00472608 | − | 0.999989i | \(-0.501504\pi\) |
0.863653 | + | 0.504087i | \(0.168171\pi\) | |||||||
\(192\) | 2.75201 | + | 50.2099i | 0.0143334 | + | 0.261510i | ||||
\(193\) | −107.937 | + | 186.952i | −0.559259 | + | 0.968665i | 0.438300 | + | 0.898829i | \(0.355581\pi\) |
−0.997558 | + | 0.0698359i | \(0.977752\pi\) | |||||||
\(194\) | 95.2736 | − | 55.0062i | 0.491101 | − | 0.283537i | ||||
\(195\) | 0.242457 | + | 0.371401i | 0.00124337 | + | 0.00190462i | ||||
\(196\) | −168.670 | − | 7.54649i | −0.860564 | − | 0.0385025i | ||||
\(197\) | 234.358i | 1.18963i | 0.803861 | + | 0.594817i | \(0.202776\pi\) | ||||
−0.803861 | + | 0.594817i | \(0.797224\pi\) | |||||||
\(198\) | −64.2449 | + | 7.06375i | −0.324469 | + | 0.0356755i | ||||
\(199\) | 185.985 | − | 322.135i | 0.934597 | − | 1.61877i | 0.159246 | − | 0.987239i | \(-0.449094\pi\) |
0.775351 | − | 0.631531i | \(-0.217573\pi\) | |||||||
\(200\) | 24.0037 | + | 13.8586i | 0.120019 | + | 0.0692929i | ||||
\(201\) | 128.681 | + | 65.1784i | 0.640204 | + | 0.324271i | ||||
\(202\) | −47.4544 | −0.234923 | ||||||||
\(203\) | 23.9512 | − | 39.4225i | 0.117986 | − | 0.194199i | ||||
\(204\) | −183.478 | − | 281.056i | −0.899404 | − | 1.37772i | ||||
\(205\) | 16.5612 | + | 28.6848i | 0.0807862 | + | 0.139926i | ||||
\(206\) | 38.7231 | + | 22.3568i | 0.187976 | + | 0.108528i | ||||
\(207\) | −71.1969 | + | 52.2506i | −0.343946 | + | 0.252418i | ||||
\(208\) | 0.319207 | + | 0.552884i | 0.00153465 | + | 0.00265809i | ||||
\(209\) | 246.465i | 1.17926i | ||||||||
\(210\) | 18.4518 | + | 29.6945i | 0.0878659 | + | 0.141402i | ||||
\(211\) | 179.659 | 0.851463 | 0.425732 | − | 0.904850i | \(-0.360017\pi\) | ||||
0.425732 | + | 0.904850i | \(0.360017\pi\) | |||||||
\(212\) | 152.743 | − | 88.1864i | 0.720487 | − | 0.415973i | ||||
\(213\) | −340.658 | + | 18.6715i | −1.59933 | + | 0.0876595i | ||||
\(214\) | 7.51780 | − | 13.0212i | 0.0351299 | − | 0.0608468i | ||||
\(215\) | 27.7472 | − | 16.0199i | 0.129057 | − | 0.0745110i | ||||
\(216\) | 147.658 | − | 24.4757i | 0.683601 | − | 0.113313i | ||||
\(217\) | 201.390 | − | 110.345i | 0.928066 | − | 0.508504i | ||||
\(218\) | − | 16.3173i | − | 0.0748502i | ||||||
\(219\) | −113.492 | − | 57.4851i | −0.518229 | − | 0.262489i | ||||
\(220\) | 37.1591 | − | 64.3614i | 0.168905 | − | 0.292552i | ||||
\(221\) | −1.85923 | − | 1.07343i | −0.00841280 | − | 0.00485713i | ||||
\(222\) | 55.2319 | − | 109.044i | 0.248793 | − | 0.491188i | ||||
\(223\) | −124.240 | −0.557129 | −0.278565 | − | 0.960418i | \(-0.589859\pi\) | ||||
−0.278565 | + | 0.960418i | \(0.589859\pi\) | |||||||
\(224\) | 98.7640 | + | 180.253i | 0.440911 | + | 0.804702i | ||||
\(225\) | −18.1060 | + | 41.1968i | −0.0804711 | + | 0.183097i | ||||
\(226\) | −22.3017 | − | 38.6277i | −0.0986802 | − | 0.170919i | ||||
\(227\) | −192.850 | − | 111.342i | −0.849561 | − | 0.490494i | 0.0109416 | − | 0.999940i | \(-0.496517\pi\) |
−0.860503 | + | 0.509446i | \(0.829850\pi\) | |||||||
\(228\) | −14.4554 | − | 263.737i | −0.0634009 | − | 1.15674i | ||||
\(229\) | −85.6244 | − | 148.306i | −0.373906 | − | 0.647624i | 0.616257 | − | 0.787545i | \(-0.288648\pi\) |
−0.990163 | + | 0.139921i | \(0.955315\pi\) | |||||||
\(230\) | 16.3357i | 0.0710249i | ||||||||
\(231\) | 172.048 | − | 106.909i | 0.744798 | − | 0.462810i | ||||
\(232\) | −36.5296 | −0.157455 | ||||||||
\(233\) | 333.986 | − | 192.827i | 1.43342 | − | 0.827583i | 0.436037 | − | 0.899929i | \(-0.356382\pi\) |
0.997380 | + | 0.0723454i | \(0.0230484\pi\) | |||||||
\(234\) | 0.357171 | − | 0.262123i | 0.00152637 | − | 0.00112019i | ||||
\(235\) | −82.3089 | + | 142.563i | −0.350251 | + | 0.606652i | ||||
\(236\) | −259.247 | + | 149.676i | −1.09850 | + | 0.634222i | ||||
\(237\) | −47.6847 | + | 31.1294i | −0.201201 | + | 0.131348i | ||||
\(238\) | −144.621 | − | 87.8646i | −0.607650 | − | 0.369179i | ||||
\(239\) | − | 283.411i | − | 1.18582i | −0.805268 | − | 0.592911i | \(-0.797979\pi\) | ||
0.805268 | − | 0.592911i | \(-0.202021\pi\) | |||||||
\(240\) | −29.2675 | + | 57.7825i | −0.121948 | + | 0.240760i | ||||
\(241\) | 119.652 | − | 207.243i | 0.496480 | − | 0.859928i | −0.503512 | − | 0.863988i | \(-0.667959\pi\) |
0.999992 | + | 0.00406029i | \(0.00129244\pi\) | |||||||
\(242\) | −18.0284 | − | 10.4087i | −0.0744973 | − | 0.0430111i | ||||
\(243\) | 65.6997 | + | 233.950i | 0.270369 | + | 0.962757i | ||||
\(244\) | 86.2743 | 0.353583 | ||||||||
\(245\) | −92.3446 | − | 58.9701i | −0.376917 | − | 0.240694i | ||||
\(246\) | 27.7041 | − | 18.0858i | 0.112618 | − | 0.0735194i | ||||
\(247\) | −0.844725 | − | 1.46311i | −0.00341994 | − | 0.00592351i | ||||
\(248\) | −157.491 | − | 90.9278i | −0.635046 | − | 0.366644i | ||||
\(249\) | 140.209 | − | 7.68484i | 0.563086 | − | 0.0308628i | ||||
\(250\) | 4.16196 | + | 7.20873i | 0.0166478 | + | 0.0288349i | ||||
\(251\) | 355.767i | 1.41740i | 0.705510 | + | 0.708700i | \(0.250718\pi\) | ||||
−0.705510 | + | 0.708700i | \(0.749282\pi\) | |||||||
\(252\) | −177.835 | + | 124.492i | −0.705693 | + | 0.494014i | ||||
\(253\) | 94.6483 | 0.374104 | ||||||||
\(254\) | 92.2907 | − | 53.2841i | 0.363349 | − | 0.209780i | ||||
\(255\) | −11.9205 | − | 217.488i | −0.0467471 | − | 0.852893i | ||||
\(256\) | 14.8436 | − | 25.7098i | 0.0579827 | − | 0.100429i | ||||
\(257\) | 248.208 | − | 143.303i | 0.965788 | − | 0.557598i | 0.0678386 | − | 0.997696i | \(-0.478390\pi\) |
0.897950 | + | 0.440098i | \(0.145056\pi\) | |||||||
\(258\) | −17.4946 | − | 26.7986i | −0.0678086 | − | 0.103871i | ||||
\(259\) | −8.56338 | + | 382.989i | −0.0330632 | + | 1.47872i | ||||
\(260\) | 0.509430i | 0.00195935i | ||||||||
\(261\) | −6.48182 | − | 58.9522i | −0.0248345 | − | 0.225870i | ||||
\(262\) | 38.9951 | − | 67.5415i | 0.148836 | − | 0.257792i | ||||
\(263\) | −2.82179 | − | 1.62916i | −0.0107292 | − | 0.00619452i | 0.494626 | − | 0.869106i | \(-0.335305\pi\) |
−0.505355 | + | 0.862912i | \(0.668638\pi\) | |||||||
\(264\) | −143.101 | − | 72.4822i | −0.542048 | − | 0.274554i | ||||
\(265\) | 114.456 | 0.431910 | ||||||||
\(266\) | −63.9885 | − | 116.785i | −0.240558 | − | 0.439041i | ||||
\(267\) | −86.0783 | − | 131.856i | −0.322391 | − | 0.493844i | ||||
\(268\) | 82.8382 | + | 143.480i | 0.309098 | + | 0.535373i | ||||
\(269\) | −33.8538 | − | 19.5455i | −0.125850 | − | 0.0726598i | 0.435753 | − | 0.900066i | \(-0.356482\pi\) |
−0.561604 | + | 0.827406i | \(0.689815\pi\) | |||||||
\(270\) | 42.0783 | + | 15.8064i | 0.155846 | + | 0.0585421i | ||||
\(271\) | 116.865 | + | 202.415i | 0.431235 | + | 0.746921i | 0.996980 | − | 0.0776596i | \(-0.0247447\pi\) |
−0.565745 | + | 0.824580i | \(0.691411\pi\) | |||||||
\(272\) | − | 313.517i | − | 1.15264i | ||||||
\(273\) | −0.654926 | + | 1.22432i | −0.00239900 | + | 0.00448470i | ||||
\(274\) | −61.0464 | −0.222797 | ||||||||
\(275\) | 41.7670 | − | 24.1142i | 0.151880 | − | 0.0876879i | ||||
\(276\) | −101.281 | + | 5.55121i | −0.366960 | + | 0.0201131i | ||||
\(277\) | 104.531 | − | 181.053i | 0.377369 | − | 0.653623i | −0.613309 | − | 0.789843i | \(-0.710162\pi\) |
0.990679 | + | 0.136220i | \(0.0434954\pi\) | |||||||
\(278\) | 1.51573 | − | 0.875109i | 0.00545228 | − | 0.00314787i | ||||
\(279\) | 118.796 | − | 270.297i | 0.425791 | − | 0.968806i | ||||
\(280\) | −1.93960 | + | 86.7467i | −0.00692713 | + | 0.309810i | ||||
\(281\) | − | 224.653i | − | 0.799476i | −0.916629 | − | 0.399738i | \(-0.869101\pi\) | ||
0.916629 | − | 0.399738i | \(-0.130899\pi\) | |||||||
\(282\) | 146.688 | + | 74.2994i | 0.520171 | + | 0.263473i | ||||
\(283\) | 2.60814 | − | 4.51743i | 0.00921605 | − | 0.0159627i | −0.861381 | − | 0.507960i | \(-0.830400\pi\) |
0.870597 | + | 0.491997i | \(0.163733\pi\) | |||||||
\(284\) | −339.357 | − | 195.928i | −1.19492 | − | 0.689887i | ||||
\(285\) | 77.4512 | − | 152.911i | 0.271759 | − | 0.536530i | ||||
\(286\) | −0.474819 | −0.00166021 | ||||||||
\(287\) | −53.8390 | + | 88.6162i | −0.187592 | + | 0.308767i | ||||
\(288\) | 241.928 | + | 106.327i | 0.840027 | + | 0.369192i | ||||
\(289\) | 382.645 | + | 662.760i | 1.32403 | + | 2.29329i | ||||
\(290\) | −9.50069 | − | 5.48523i | −0.0327610 | − | 0.0189146i | ||||
\(291\) | 24.2605 | + | 442.628i | 0.0833693 | + | 1.52106i | ||||
\(292\) | −73.0604 | − | 126.544i | −0.250207 | − | 0.433371i | ||||
\(293\) | − | 63.6178i | − | 0.217126i | −0.994090 | − | 0.108563i | \(-0.965375\pi\) | ||
0.994090 | − | 0.108563i | \(-0.0346249\pi\) | |||||||
\(294\) | −53.7671 | + | 95.3258i | −0.182881 | + | 0.324237i | ||||
\(295\) | −194.263 | −0.658520 | ||||||||
\(296\) | 262.728 | − | 151.686i | 0.887594 | − | 0.512453i | ||||
\(297\) | 91.5813 | − | 243.800i | 0.308355 | − | 0.820875i | ||||
\(298\) | 16.2743 | − | 28.1879i | 0.0546118 | − | 0.0945904i | ||||
\(299\) | −0.561867 | + | 0.324394i | −0.00187915 | + | 0.00108493i | ||||
\(300\) | −43.2795 | + | 28.2537i | −0.144265 | + | 0.0941789i | ||||
\(301\) | 85.7198 | + | 52.0793i | 0.284784 | + | 0.173021i | ||||
\(302\) | − | 7.52136i | − | 0.0249052i | ||||||
\(303\) | 86.4020 | − | 170.582i | 0.285155 | − | 0.562978i | ||||
\(304\) | 123.360 | − | 213.666i | 0.405789 | − | 0.702847i | ||||
\(305\) | 48.4864 | + | 27.9936i | 0.158972 | + | 0.0917824i | ||||
\(306\) | −216.265 | + | 23.7784i | −0.706748 | + | 0.0777072i | ||||
\(307\) | −147.936 | −0.481876 | −0.240938 | − | 0.970541i | \(-0.577455\pi\) | ||||
−0.240938 | + | 0.970541i | \(0.577455\pi\) | |||||||
\(308\) | 232.594 | + | 5.20065i | 0.755177 | + | 0.0168852i | ||||
\(309\) | −150.870 | + | 98.4905i | −0.488251 | + | 0.318740i | ||||
\(310\) | −27.3071 | − | 47.2973i | −0.0880875 | − | 0.152572i | ||||
\(311\) | 79.3613 | + | 45.8193i | 0.255181 | + | 0.147329i | 0.622134 | − | 0.782911i | \(-0.286266\pi\) |
−0.366953 | + | 0.930239i | \(0.619599\pi\) | |||||||
\(312\) | 1.09792 | − | 0.0601770i | 0.00351897 | − | 0.000192875i | ||||
\(313\) | −74.8604 | − | 129.662i | −0.239170 | − | 0.414255i | 0.721306 | − | 0.692617i | \(-0.243542\pi\) |
−0.960476 | + | 0.278361i | \(0.910209\pi\) | |||||||
\(314\) | 65.8232i | 0.209628i | ||||||||
\(315\) | −140.338 | + | 12.2622i | −0.445516 | + | 0.0389275i | ||||
\(316\) | −65.4065 | −0.206983 | ||||||||
\(317\) | 60.9909 | − | 35.2131i | 0.192400 | − | 0.111082i | −0.400705 | − | 0.916207i | \(-0.631235\pi\) |
0.593106 | + | 0.805125i | \(0.297902\pi\) | |||||||
\(318\) | −6.25687 | − | 114.156i | −0.0196757 | − | 0.358980i | ||||
\(319\) | −31.7811 | + | 55.0465i | −0.0996273 | + | 0.172560i | ||||
\(320\) | −32.4590 | + | 18.7402i | −0.101434 | + | 0.0585632i | ||||
\(321\) | 33.1189 | + | 50.7321i | 0.103174 | + | 0.158044i | ||||
\(322\) | −44.8481 | + | 24.5731i | −0.139280 | + | 0.0763139i | ||||
\(323\) | 829.666i | 2.56862i | ||||||||
\(324\) | −83.6999 | + | 266.256i | −0.258333 | + | 0.821776i | ||||
\(325\) | −0.165296 | + | 0.286301i | −0.000508603 | + | 0.000880926i | ||||
\(326\) | −125.940 | − | 72.7116i | −0.386320 | − | 0.223042i | ||||
\(327\) | 58.6553 | + | 29.7096i | 0.179374 | + | 0.0908550i | ||||
\(328\) | 82.1135 | 0.250346 | ||||||||
\(329\) | −515.207 | − | 11.5197i | −1.56598 | − | 0.0350142i | ||||
\(330\) | −26.3341 | − | 40.3391i | −0.0798003 | − | 0.122240i | ||||
\(331\) | −246.435 | − | 426.839i | −0.744518 | − | 1.28954i | −0.950420 | − | 0.310970i | \(-0.899346\pi\) |
0.205902 | − | 0.978573i | \(-0.433987\pi\) | |||||||
\(332\) | 139.673 | + | 80.6402i | 0.420702 | + | 0.242892i | ||||
\(333\) | 291.412 | + | 397.080i | 0.875111 | + | 1.19243i | ||||
\(334\) | 73.3430 | + | 127.034i | 0.219590 | + | 0.380341i | ||||
\(335\) | 107.515i | 0.320940i | ||||||||
\(336\) | −202.662 | + | 6.56848i | −0.603160 | + | 0.0195490i | ||||
\(337\) | −321.869 | −0.955102 | −0.477551 | − | 0.878604i | \(-0.658475\pi\) | ||||
−0.477551 | + | 0.878604i | \(0.658475\pi\) | |||||||
\(338\) | −108.963 | + | 62.9098i | −0.322376 | + | 0.186124i | ||||
\(339\) | 179.459 | − | 9.83616i | 0.529378 | − | 0.0290152i | ||||
\(340\) | 125.087 | − | 216.657i | 0.367903 | − | 0.637227i | ||||
\(341\) | −274.038 | + | 158.216i | −0.803631 | + | 0.463977i | ||||
\(342\) | −156.743 | − | 68.8888i | −0.458314 | − | 0.201429i | ||||
\(343\) | 22.9867 | − | 342.229i | 0.0670165 | − | 0.997752i | ||||
\(344\) | − | 79.4296i | − | 0.230900i | ||||||
\(345\) | −58.7213 | − | 29.7431i | −0.170207 | − | 0.0862118i | ||||
\(346\) | −29.2349 | + | 50.6363i | −0.0844939 | + | 0.146348i | ||||
\(347\) | 56.0152 | + | 32.3404i | 0.161427 | + | 0.0932000i | 0.578537 | − | 0.815656i | \(-0.303624\pi\) |
−0.417110 | + | 0.908856i | \(0.636957\pi\) | |||||||
\(348\) | 30.7797 | − | 60.7679i | 0.0884474 | − | 0.174621i | ||||
\(349\) | −151.057 | −0.432829 | −0.216415 | − | 0.976302i | \(-0.569436\pi\) | ||||
−0.216415 | + | 0.976302i | \(0.569436\pi\) | |||||||
\(350\) | −13.5302 | + | 22.2700i | −0.0386577 | + | 0.0636286i | ||||
\(351\) | 0.291930 | + | 1.76117i | 0.000831709 | + | 0.00501757i | ||||
\(352\) | −141.610 | − | 245.276i | −0.402302 | − | 0.696808i | ||||
\(353\) | −302.998 | − | 174.936i | −0.858350 | − | 0.495569i | 0.00510945 | − | 0.999987i | \(-0.498374\pi\) |
−0.863459 | + | 0.504418i | \(0.831707\pi\) | |||||||
\(354\) | 10.6196 | + | 193.753i | 0.0299989 | + | 0.547325i | ||||
\(355\) | −127.146 | − | 220.224i | −0.358159 | − | 0.620349i | ||||
\(356\) | − | 180.860i | − | 0.508035i | ||||||
\(357\) | 579.159 | − | 359.883i | 1.62230 | − | 1.00808i | ||||
\(358\) | 202.189 | 0.564775 | ||||||||
\(359\) | −475.400 | + | 274.473i | −1.32424 | + | 0.764548i | −0.984401 | − | 0.175938i | \(-0.943704\pi\) |
−0.339834 | + | 0.940485i | \(0.610371\pi\) | |||||||
\(360\) | 66.0046 | + | 89.9382i | 0.183346 | + | 0.249828i | ||||
\(361\) | −145.950 | + | 252.792i | −0.404293 | + | 0.700256i | ||||
\(362\) | −189.120 | + | 109.189i | −0.522432 | + | 0.301626i | ||||
\(363\) | 70.2405 | − | 45.8543i | 0.193500 | − | 0.126320i | ||||
\(364\) | −1.39859 | + | 0.766312i | −0.00384228 | + | 0.00210525i | ||||
\(365\) | − | 94.8243i | − | 0.259793i | ||||||
\(366\) | 25.2695 | − | 49.8893i | 0.0690425 | − | 0.136310i | ||||
\(367\) | −186.447 | + | 322.935i | −0.508030 | + | 0.879933i | 0.491927 | + | 0.870636i | \(0.336293\pi\) |
−0.999957 | + | 0.00929679i | \(0.997041\pi\) | |||||||
\(368\) | −82.0525 | − | 47.3730i | −0.222969 | − | 0.128731i | ||||
\(369\) | 14.5702 | + | 132.516i | 0.0394857 | + | 0.359123i | ||||
\(370\) | 91.1077 | 0.246237 | ||||||||
\(371\) | 172.171 | + | 314.228i | 0.464073 | + | 0.846975i | ||||
\(372\) | 283.962 | − | 185.376i | 0.763339 | − | 0.498322i | ||||
\(373\) | 122.029 | + | 211.361i | 0.327156 | + | 0.566650i | 0.981946 | − | 0.189160i | \(-0.0605765\pi\) |
−0.654791 | + | 0.755810i | \(0.727243\pi\) | |||||||
\(374\) | 201.937 | + | 116.588i | 0.539939 | + | 0.311734i | ||||
\(375\) | −33.4908 | + | 1.83563i | −0.0893087 | + | 0.00489501i | ||||
\(376\) | 204.052 | + | 353.428i | 0.542691 | + | 0.939968i | ||||
\(377\) | − | 0.435701i | − | 0.00115571i | ||||||
\(378\) | 19.9017 | + | 139.299i | 0.0526499 | + | 0.368515i | ||||
\(379\) | −495.847 | −1.30830 | −0.654151 | − | 0.756364i | \(-0.726974\pi\) | ||||
−0.654151 | + | 0.756364i | \(0.726974\pi\) | |||||||
\(380\) | 170.497 | − | 98.4363i | 0.448676 | − | 0.259043i | ||||
\(381\) | 23.5009 | + | 428.770i | 0.0616822 | + | 1.12538i | ||||
\(382\) | 70.5183 | − | 122.141i | 0.184603 | − | 0.319742i | ||||
\(383\) | 305.600 | − | 176.438i | 0.797912 | − | 0.460675i | −0.0448283 | − | 0.998995i | \(-0.514274\pi\) |
0.842741 | + | 0.538320i | \(0.180941\pi\) | |||||||
\(384\) | 213.076 | + | 326.394i | 0.554886 | + | 0.849984i | ||||
\(385\) | 129.031 | + | 78.3933i | 0.335146 | + | 0.203619i | ||||
\(386\) | 160.721i | 0.416376i | ||||||||
\(387\) | 128.185 | − | 14.0940i | 0.331227 | − | 0.0364186i | ||||
\(388\) | −254.575 | + | 440.937i | −0.656122 | + | 1.13644i | ||||
\(389\) | 94.6247 | + | 54.6316i | 0.243251 | + | 0.140441i | 0.616670 | − | 0.787222i | \(-0.288481\pi\) |
−0.373419 | + | 0.927663i | \(0.621815\pi\) | |||||||
\(390\) | 0.294585 | + | 0.149211i | 0.000755347 | + | 0.000382592i | ||||
\(391\) | 318.611 | 0.814861 | ||||||||
\(392\) | −241.072 | + | 125.164i | −0.614980 | + | 0.319296i | ||||
\(393\) | 171.789 | + | 263.150i | 0.437122 | + | 0.669592i | ||||
\(394\) | 87.2414 | + | 151.107i | 0.221425 | + | 0.383519i | ||||
\(395\) | −36.7586 | − | 21.2226i | −0.0930598 | − | 0.0537281i | ||||
\(396\) | 241.152 | − | 176.978i | 0.608969 | − | 0.446915i | ||||
\(397\) | −320.446 | − | 555.029i | −0.807170 | − | 1.39806i | −0.914816 | − | 0.403870i | \(-0.867665\pi\) |
0.107647 | − | 0.994189i | \(-0.465668\pi\) | |||||||
\(398\) | − | 276.937i | − | 0.695821i | ||||||
\(399\) | 536.308 | − | 17.3823i | 1.34413 | − | 0.0435647i | ||||
\(400\) | −48.2782 | −0.120695 | ||||||||
\(401\) | −104.940 | + | 60.5871i | −0.261695 | + | 0.151090i | −0.625108 | − | 0.780538i | \(-0.714945\pi\) |
0.363412 | + | 0.931628i | \(0.381612\pi\) | |||||||
\(402\) | 107.232 | − | 5.87742i | 0.266748 | − | 0.0146204i | ||||
\(403\) | 1.08453 | − | 1.87846i | 0.00269113 | − | 0.00466118i | ||||
\(404\) | 190.200 | − | 109.812i | 0.470793 | − | 0.271813i | ||||
\(405\) | −133.432 | + | 122.478i | −0.329462 | + | 0.302415i | ||||
\(406\) | 0.767693 | − | 34.3344i | 0.00189087 | − | 0.0845674i | ||||
\(407\) | − | 527.873i | − | 1.29699i | ||||||
\(408\) | −481.714 | − | 243.994i | −1.18067 | − | 0.598024i | ||||
\(409\) | 170.580 | − | 295.454i | 0.417067 | − | 0.722381i | −0.578576 | − | 0.815628i | \(-0.696391\pi\) |
0.995643 | + | 0.0932474i | \(0.0297247\pi\) | |||||||
\(410\) | 21.3562 | + | 12.3300i | 0.0520884 | + | 0.0300732i | ||||
\(411\) | 111.149 | − | 219.441i | 0.270437 | − | 0.533920i | ||||
\(412\) | −206.940 | −0.502281 | ||||||||
\(413\) | −292.221 | − | 533.331i | −0.707558 | − | 1.29136i | ||||
\(414\) | −26.4549 | + | 60.1931i | −0.0639007 | + | 0.145394i | ||||
\(415\) | 52.3311 | + | 90.6400i | 0.126099 | + | 0.218410i | ||||
\(416\) | 1.68130 | + | 0.970700i | 0.00404159 | + | 0.00233341i | ||||
\(417\) | 0.385966 | + | 7.04188i | 0.000925578 | + | 0.0168870i | ||||
\(418\) | 91.7484 | + | 158.913i | 0.219494 | + | 0.380175i | ||||
\(419\) | 199.066i | 0.475097i | 0.971376 | + | 0.237549i | \(0.0763439\pi\) | ||||
−0.971376 | + | 0.237549i | \(0.923656\pi\) | |||||||
\(420\) | −142.671 | − | 76.3189i | −0.339693 | − | 0.181712i | ||||
\(421\) | 620.416 | 1.47367 | 0.736837 | − | 0.676071i | \(-0.236319\pi\) | ||||
0.736837 | + | 0.676071i | \(0.236319\pi\) | |||||||
\(422\) | 115.838 | − | 66.8792i | 0.274498 | − | 0.158482i | ||||
\(423\) | −534.162 | + | 392.015i | −1.26279 | + | 0.926749i | ||||
\(424\) | 141.874 | − | 245.733i | 0.334608 | − | 0.579559i | ||||
\(425\) | 140.598 | − | 81.1746i | 0.330820 | − | 0.190999i | ||||
\(426\) | −212.695 | + | 138.851i | −0.499284 | + | 0.325942i | ||||
\(427\) | −3.91789 | + | 175.224i | −0.00917538 | + | 0.410361i | ||||
\(428\) | 69.5865i | 0.162585i | ||||||||
\(429\) | 0.864520 | − | 1.70681i | 0.00201520 | − | 0.00397858i | ||||
\(430\) | 11.9270 | − | 20.6582i | 0.0277373 | − | 0.0480423i | ||||
\(431\) | −659.609 | − | 380.826i | −1.53042 | − | 0.883586i | −0.999342 | − | 0.0362605i | \(-0.988455\pi\) |
−0.531074 | − | 0.847326i | \(-0.678211\pi\) | |||||||
\(432\) | −201.419 | + | 165.517i | −0.466249 | + | 0.383141i | ||||
\(433\) | −74.9819 | −0.173168 | −0.0865842 | − | 0.996245i | \(-0.527595\pi\) | ||||
−0.0865842 | + | 0.996245i | \(0.527595\pi\) | |||||||
\(434\) | 88.7733 | − | 146.116i | 0.204547 | − | 0.336673i | ||||
\(435\) | 37.0158 | − | 24.1646i | 0.0850938 | − | 0.0555508i | ||||
\(436\) | 37.7593 | + | 65.4010i | 0.0866039 | + | 0.150002i | ||||
\(437\) | 217.137 | + | 125.364i | 0.496881 | + | 0.286875i | ||||
\(438\) | −94.5753 | + | 5.18368i | −0.215925 | + | 0.0118349i | ||||
\(439\) | 89.8008 | + | 155.539i | 0.204558 | + | 0.354304i | 0.949992 | − | 0.312275i | \(-0.101091\pi\) |
−0.745434 | + | 0.666579i | \(0.767758\pi\) | |||||||
\(440\) | − | 119.563i | − | 0.271734i | ||||||
\(441\) | −244.768 | − | 366.837i | −0.555029 | − | 0.831831i | ||||
\(442\) | −1.59836 | −0.00361620 | ||||||||
\(443\) | −618.432 | + | 357.052i | −1.39601 | + | 0.805986i | −0.993972 | − | 0.109638i | \(-0.965031\pi\) |
−0.402036 | + | 0.915624i | \(0.631698\pi\) | |||||||
\(444\) | 30.9603 | + | 564.864i | 0.0697303 | + | 1.27222i | ||||
\(445\) | 58.6842 | − | 101.644i | 0.131875 | − | 0.228413i | ||||
\(446\) | −80.1059 | + | 46.2491i | −0.179610 | + | 0.103698i | ||||
\(447\) | 71.6948 | + | 109.823i | 0.160391 | + | 0.245690i | ||||
\(448\) | −100.276 | − | 60.9229i | −0.223830 | − | 0.135989i | ||||
\(449\) | − | 183.881i | − | 0.409534i | −0.978811 | − | 0.204767i | \(-0.934356\pi\) | ||
0.978811 | − | 0.204767i | \(-0.0656437\pi\) | |||||||
\(450\) | 3.66162 | + | 33.3024i | 0.00813693 | + | 0.0740054i | ||||
\(451\) | 71.4395 | − | 123.737i | 0.158403 | − | 0.274361i | ||||
\(452\) | 178.774 | + | 103.215i | 0.395517 | + | 0.228352i | ||||
\(453\) | 27.0367 | + | 13.6944i | 0.0596837 | + | 0.0302305i | ||||
\(454\) | −165.792 | −0.365180 | ||||||||
\(455\) | −1.03466 | − | 0.0231342i | −0.00227397 | − | 5.08445e-5i | ||||
\(456\) | −232.289 | − | 355.825i | −0.509406 | − | 0.780319i | ||||
\(457\) | −352.168 | − | 609.973i | −0.770608 | − | 1.33473i | −0.937230 | − | 0.348711i | \(-0.886619\pi\) |
0.166622 | − | 0.986021i | \(-0.446714\pi\) | |||||||
\(458\) | −110.416 | − | 63.7486i | −0.241083 | − | 0.139189i | ||||
\(459\) | 308.286 | − | 820.693i | 0.671648 | − | 1.78800i | ||||
\(460\) | −37.8018 | − | 65.4747i | −0.0821779 | − | 0.142336i | ||||
\(461\) | − | 763.794i | − | 1.65682i | −0.560123 | − | 0.828410i | \(-0.689246\pi\) | ||
0.560123 | − | 0.828410i | \(-0.310754\pi\) | |||||||
\(462\) | 71.1337 | − | 132.978i | 0.153969 | − | 0.287831i | ||||
\(463\) | 707.653 | 1.52841 | 0.764204 | − | 0.644974i | \(-0.223132\pi\) | ||||
0.764204 | + | 0.644974i | \(0.223132\pi\) | |||||||
\(464\) | 55.1034 | − | 31.8139i | 0.118757 | − | 0.0685645i | ||||
\(465\) | 219.737 | − | 12.0438i | 0.472552 | − | 0.0259006i | ||||
\(466\) | 143.562 | − | 248.657i | 0.308074 | − | 0.533599i | ||||
\(467\) | 14.6611 | − | 8.46457i | 0.0313941 | − | 0.0181254i | −0.484221 | − | 0.874946i | \(-0.660897\pi\) |
0.515615 | + | 0.856820i | \(0.327564\pi\) | |||||||
\(468\) | −0.824996 | + | 1.87712i | −0.00176281 | + | 0.00401095i | ||||
\(469\) | −295.171 | + | 161.730i | −0.629363 | + | 0.344839i | ||||
\(470\) | 122.560i | 0.260767i | ||||||||
\(471\) | −236.612 | − | 119.847i | −0.502361 | − | 0.254452i | ||||
\(472\) | −240.799 | + | 417.076i | −0.510167 | + | 0.883635i | ||||
\(473\) | −119.693 | − | 69.1045i | −0.253050 | − | 0.146098i | ||||
\(474\) | −19.1574 | + | 37.8222i | −0.0404165 | + | 0.0797938i | ||||
\(475\) | 127.759 | 0.268967 | ||||||||
\(476\) | 782.973 | + | 17.5067i | 1.64490 | + | 0.0367789i | ||||
\(477\) | 421.742 | + | 185.356i | 0.884156 | + | 0.388587i | ||||
\(478\) | −105.502 | − | 182.735i | −0.220715 | − | 0.382290i | ||||
\(479\) | 258.703 | + | 149.362i | 0.540091 | + | 0.311821i | 0.745116 | − | 0.666935i | \(-0.232394\pi\) |
−0.205025 | + | 0.978757i | \(0.565728\pi\) | |||||||
\(480\) | 10.7797 | + | 196.674i | 0.0224578 | + | 0.409738i | ||||
\(481\) | 1.80921 | + | 3.13365i | 0.00376135 | + | 0.00651486i | ||||
\(482\) | − | 178.165i | − | 0.369636i | ||||||
\(483\) | −6.67520 | − | 205.955i | −0.0138203 | − | 0.426407i | ||||
\(484\) | 96.3451 | 0.199060 | ||||||||
\(485\) | −286.144 | + | 165.205i | −0.589987 | + | 0.340629i | ||||
\(486\) | 129.451 | + | 126.386i | 0.266359 | + | 0.260054i | ||||
\(487\) | −165.123 | + | 286.002i | −0.339062 | + | 0.587273i | −0.984257 | − | 0.176745i | \(-0.943443\pi\) |
0.645194 | + | 0.764019i | \(0.276776\pi\) | |||||||
\(488\) | 120.202 | − | 69.3989i | 0.246316 | − | 0.142211i | ||||
\(489\) | 490.678 | − | 320.323i | 1.00343 | − | 0.655058i | ||||
\(490\) | −81.4929 | − | 3.64607i | −0.166312 | − | 0.00744097i | ||||
\(491\) | 356.915i | 0.726914i | 0.931611 | + | 0.363457i | \(0.118404\pi\) | ||||
−0.931611 | + | 0.363457i | \(0.881596\pi\) | |||||||
\(492\) | −69.1885 | + | 136.598i | −0.140627 | + | 0.277638i | ||||
\(493\) | −106.983 | + | 185.301i | −0.217005 | + | 0.375864i | ||||
\(494\) | −1.08930 | − | 0.628910i | −0.00220507 | − | 0.00127310i | ||||
\(495\) | 192.953 | − | 21.2152i | 0.389803 | − | 0.0428590i | ||||
\(496\) | 316.759 | 0.638627 | ||||||||
\(497\) | 413.342 | − | 680.340i | 0.831675 | − | 1.36889i | ||||
\(498\) | 87.5412 | − | 57.1485i | 0.175786 | − | 0.114756i | ||||
\(499\) | −184.836 | − | 320.145i | −0.370412 | − | 0.641573i | 0.619217 | − | 0.785220i | \(-0.287450\pi\) |
−0.989629 | + | 0.143647i | \(0.954117\pi\) | |||||||
\(500\) | −33.3628 | − | 19.2620i | −0.0667257 | − | 0.0385241i | ||||
\(501\) | −590.182 | + | 32.3479i | −1.17801 | + | 0.0645667i | ||||
\(502\) | 132.437 | + | 229.387i | 0.263819 | + | 0.456947i | ||||
\(503\) | 85.3001i | 0.169583i | 0.996399 | + | 0.0847913i | \(0.0270224\pi\) | ||||
−0.996399 | + | 0.0847913i | \(0.972978\pi\) | |||||||
\(504\) | −147.629 | + | 316.499i | −0.292914 | + | 0.627974i | ||||
\(505\) | 142.524 | 0.282226 | ||||||||
\(506\) | 61.0262 | − | 35.2335i | 0.120605 | − | 0.0696314i | ||||
\(507\) | −27.7463 | − | 506.227i | −0.0547265 | − | 0.998475i | ||||
\(508\) | −246.605 | + | 427.132i | −0.485443 | + | 0.840812i | ||||
\(509\) | 261.852 | − | 151.180i | 0.514443 | − | 0.297014i | −0.220215 | − | 0.975451i | \(-0.570676\pi\) |
0.734658 | + | 0.678437i | \(0.237343\pi\) | |||||||
\(510\) | −88.6473 | − | 135.792i | −0.173818 | − | 0.266258i | ||||
\(511\) | 260.331 | − | 142.640i | 0.509454 | − | 0.279139i | ||||
\(512\) | 497.614i | 0.971903i | ||||||||
\(513\) | 533.020 | − | 438.011i | 1.03903 | − | 0.853822i | ||||
\(514\) | 106.691 | − | 184.794i | 0.207570 | − | 0.359522i | ||||
\(515\) | −116.301 | − | 67.1462i | −0.225827 | − | 0.130381i | ||||
\(516\) | 132.133 | + | 66.9270i | 0.256072 | + | 0.129704i | ||||
\(517\) | 710.108 | 1.37352 | ||||||||
\(518\) | 137.049 | + | 250.127i | 0.264573 | + | 0.482871i | ||||
\(519\) | −128.791 | − | 197.285i | −0.248153 | − | 0.380125i | ||||
\(520\) | 0.409785 | + | 0.709768i | 0.000788047 | + | 0.00136494i | ||||
\(521\) | 412.783 | + | 238.320i | 0.792289 | + | 0.457428i | 0.840768 | − | 0.541396i | \(-0.182104\pi\) |
−0.0484786 | + | 0.998824i | \(0.515437\pi\) | |||||||
\(522\) | −26.1246 | − | 35.5976i | −0.0500472 | − | 0.0681946i | ||||
\(523\) | 17.4690 | + | 30.2571i | 0.0334015 | + | 0.0578530i | 0.882243 | − | 0.470794i | \(-0.156033\pi\) |
−0.848841 | + | 0.528648i | \(0.822699\pi\) | |||||||
\(524\) | 360.948i | 0.688832i | ||||||||
\(525\) | −55.4181 | − | 89.1843i | −0.105558 | − | 0.169875i | ||||
\(526\) | −2.42586 | −0.00461191 | ||||||||
\(527\) | −922.483 | + | 532.596i | −1.75044 | + | 1.01062i | ||||
\(528\) | 278.987 | − | 15.2913i | 0.528384 | − | 0.0289607i | ||||
\(529\) | −216.357 | + | 374.742i | −0.408993 | + | 0.708397i | ||||
\(530\) | 73.7977 | − | 42.6071i | 0.139241 | − | 0.0803908i | ||||
\(531\) | −715.812 | − | 314.600i | −1.34805 | − | 0.592466i | ||||
\(532\) | 526.717 | + | 320.009i | 0.990070 | + | 0.601520i | ||||
\(533\) | 0.979396i | 0.00183752i | ||||||||
\(534\) | −104.585 | − | 52.9736i | −0.195852 | − | 0.0992014i | ||||
\(535\) | −22.5789 | + | 39.1078i | −0.0422035 | + | 0.0730987i | ||||
\(536\) | 230.830 | + | 133.270i | 0.430653 | + | 0.248638i | ||||
\(537\) | −368.134 | + | 726.802i | −0.685537 | + | 1.35345i | ||||
\(538\) | −29.1038 | −0.0540963 | ||||||||
\(539\) | −21.1252 | + | 472.166i | −0.0391932 | + | 0.876003i | ||||
\(540\) | −205.230 | + | 34.0187i | −0.380055 | + | 0.0629977i | ||||
\(541\) | 255.386 | + | 442.342i | 0.472063 | + | 0.817637i | 0.999489 | − | 0.0319640i | \(-0.0101762\pi\) |
−0.527426 | + | 0.849601i | \(0.676843\pi\) | |||||||
\(542\) | 150.701 | + | 87.0074i | 0.278046 | + | 0.160530i | ||||
\(543\) | −48.1576 | − | 878.628i | −0.0886881 | − | 1.61810i | ||||
\(544\) | −476.697 | − | 825.664i | −0.876281 | − | 1.51776i | ||||
\(545\) | 49.0074i | 0.0899218i | ||||||||
\(546\) | 0.0334872 | + | 1.03321i | 6.13319e−5 | + | 0.00189232i | ||||
\(547\) | −833.773 | −1.52427 | −0.762133 | − | 0.647421i | \(-0.775848\pi\) | ||||
−0.762133 | + | 0.647421i | \(0.775848\pi\) | |||||||
\(548\) | 244.678 | − | 141.265i | 0.446493 | − | 0.257783i | ||||
\(549\) | 133.326 | + | 181.671i | 0.242852 | + | 0.330912i | ||||
\(550\) | 17.9534 | − | 31.0961i | 0.0326425 | − | 0.0565384i | ||||
\(551\) | −145.821 | + | 84.1899i | −0.264648 | + | 0.152795i | ||||
\(552\) | −136.645 | + | 89.2044i | −0.247545 | + | 0.161602i | ||||
\(553\) | 2.97024 | − | 132.841i | 0.00537114 | − | 0.240219i | ||||
\(554\) | − | 155.650i | − | 0.280957i | ||||||
\(555\) | −165.883 | + | 327.501i | −0.298889 | + | 0.590092i | ||||
\(556\) | −4.05011 | + | 7.01499i | −0.00728436 | + | 0.0126169i | ||||
\(557\) | 308.150 | + | 177.910i | 0.553231 | + | 0.319408i | 0.750424 | − | 0.660957i | \(-0.229849\pi\) |
−0.197193 | + | 0.980365i | \(0.563183\pi\) | |||||||
\(558\) | −24.0243 | − | 218.501i | −0.0430543 | − | 0.391579i | ||||
\(559\) | 0.947385 | 0.00169478 | ||||||||
\(560\) | −72.6226 | − | 132.543i | −0.129683 | − | 0.236684i | ||||
\(561\) | −786.770 | + | 513.618i | −1.40244 | + | 0.915540i | ||||
\(562\) | −83.6286 | − | 144.849i | −0.148805 | − | 0.257738i | ||||
\(563\) | 822.210 | + | 474.703i | 1.46041 | + | 0.843167i | 0.999030 | − | 0.0440357i | \(-0.0140215\pi\) |
0.461379 | + | 0.887203i | \(0.347355\pi\) | |||||||
\(564\) | −759.870 | + | 41.6485i | −1.34729 | + | 0.0738448i | ||||
\(565\) | 66.9808 | + | 116.014i | 0.118550 | + | 0.205335i | ||||
\(566\) | − | 3.88360i | − | 0.00686148i | ||||||
\(567\) | −536.967 | − | 182.087i | −0.947032 | − | 0.321140i | ||||
\(568\) | −630.416 | −1.10989 | ||||||||
\(569\) | −3.80306 | + | 2.19570i | −0.00668376 | + | 0.00385887i | −0.503338 | − | 0.864090i | \(-0.667895\pi\) |
0.496654 | + | 0.867948i | \(0.334562\pi\) | |||||||
\(570\) | −6.98411 | − | 127.424i | −0.0122528 | − | 0.223551i | ||||
\(571\) | 197.642 | − | 342.326i | 0.346133 | − | 0.599520i | −0.639426 | − | 0.768853i | \(-0.720828\pi\) |
0.985559 | + | 0.169333i | \(0.0541612\pi\) | |||||||
\(572\) | 1.90311 | − | 1.09876i | 0.00332711 | − | 0.00192091i | ||||
\(573\) | 310.661 | + | 475.876i | 0.542166 | + | 0.830500i | ||||
\(574\) | −1.72567 | + | 77.1789i | −0.00300639 | + | 0.134458i | ||||
\(575\) | − | 49.0626i | − | 0.0853262i | ||||||
\(576\) | −149.952 | + | 16.4873i | −0.260334 | + | 0.0286238i | ||||
\(577\) | −231.802 | + | 401.493i | −0.401737 | + | 0.695829i | −0.993936 | − | 0.109963i | \(-0.964927\pi\) |
0.592199 | + | 0.805792i | \(0.298260\pi\) | |||||||
\(578\) | 493.434 | + | 284.884i | 0.853693 | + | 0.492880i | ||||
\(579\) | −577.738 | − | 292.631i | −0.997820 | − | 0.505408i | ||||
\(580\) | 50.7725 | 0.0875389 | ||||||||
\(581\) | −170.124 | + | 280.015i | −0.292812 | + | 0.481954i | ||||
\(582\) | 180.414 | + | 276.361i | 0.309989 | + | 0.474847i | ||||
\(583\) | −246.863 | − | 427.580i | −0.423436 | − | 0.733413i | ||||
\(584\) | −203.584 | − | 117.539i | −0.348603 | − | 0.201266i | ||||
\(585\) | −1.07272 | + | 0.787259i | −0.00183372 | + | 0.00134574i | ||||
\(586\) | −23.6822 | − | 41.0187i | −0.0404133 | − | 0.0699978i | ||||
\(587\) | 641.429i | 1.09272i | 0.837549 | + | 0.546362i | \(0.183988\pi\) | ||||
−0.837549 | + | 0.546362i | \(0.816012\pi\) | |||||||
\(588\) | −5.08742 | − | 506.492i | −0.00865208 | − | 0.861381i | ||||
\(589\) | −838.245 | −1.42317 | ||||||||
\(590\) | −125.255 | + | 72.3159i | −0.212296 | + | 0.122569i | ||||
\(591\) | −702.020 | + | 38.4778i | −1.18785 | + | 0.0651062i | ||||
\(592\) | −264.209 | + | 457.624i | −0.446299 | + | 0.773013i | ||||
\(593\) | −285.837 | + | 165.028i | −0.482019 | + | 0.278294i | −0.721257 | − | 0.692667i | \(-0.756435\pi\) |
0.239239 | + | 0.970961i | \(0.423102\pi\) | |||||||
\(594\) | −31.7075 | − | 191.286i | −0.0533796 | − | 0.322030i | ||||
\(595\) | 434.352 | + | 263.892i | 0.730004 | + | 0.443516i | ||||
\(596\) | 150.639i | 0.252750i | ||||||||
\(597\) | 995.493 | + | 504.229i | 1.66749 | + | 0.844604i | ||||
\(598\) | −0.241516 | + | 0.418318i | −0.000403873 | + | 0.000699528i | ||||
\(599\) | 408.273 | + | 235.716i | 0.681590 | + | 0.393516i | 0.800454 | − | 0.599394i | \(-0.204592\pi\) |
−0.118864 | + | 0.992911i | \(0.537925\pi\) | |||||||
\(600\) | −37.5724 | + | 74.1787i | −0.0626206 | + | 0.123631i | ||||
\(601\) | −92.4258 | −0.153787 | −0.0768933 | − | 0.997039i | \(-0.524500\pi\) | ||||
−0.0768933 | + | 0.997039i | \(0.524500\pi\) | |||||||
\(602\) | 74.6563 | + | 1.66926i | 0.124014 | + | 0.00277286i | ||||
\(603\) | −174.115 | + | 396.165i | −0.288748 | + | 0.656991i | ||||
\(604\) | 17.4049 | + | 30.1461i | 0.0288160 | + | 0.0499108i | ||||
\(605\) | 54.1462 | + | 31.2613i | 0.0894979 | + | 0.0516716i | ||||
\(606\) | −7.79124 | − | 142.150i | −0.0128568 | − | 0.234571i | ||||
\(607\) | 144.614 | + | 250.479i | 0.238244 | + | 0.412650i | 0.960210 | − | 0.279277i | \(-0.0900949\pi\) |
−0.721967 | + | 0.691928i | \(0.756762\pi\) | |||||||
\(608\) | − | 750.267i | − | 1.23399i | ||||||
\(609\) | 122.023 | + | 65.2735i | 0.200365 | + | 0.107181i | ||||
\(610\) | 41.6833 | 0.0683333 | ||||||||
\(611\) | −4.21546 | + | 2.43380i | −0.00689928 | + | 0.00398330i | ||||
\(612\) | 811.780 | − | 595.755i | 1.32644 | − | 0.973456i | ||||
\(613\) | 384.212 | − | 665.475i | 0.626774 | − | 1.08560i | −0.361421 | − | 0.932403i | \(-0.617708\pi\) |
0.988195 | − | 0.153201i | \(-0.0489583\pi\) | |||||||
\(614\) | −95.3844 | + | 55.0702i | −0.155349 | + | 0.0896909i | ||||
\(615\) | −83.2063 | + | 54.3186i | −0.135295 | + | 0.0883230i | ||||
\(616\) | 328.248 | − | 179.853i | 0.532870 | − | 0.291969i | ||||
\(617\) | 49.4273i | 0.0801092i | 0.999197 | + | 0.0400546i | \(0.0127532\pi\) | ||||
−0.999197 | + | 0.0400546i | \(0.987247\pi\) | |||||||
\(618\) | −60.6122 | + | 119.666i | −0.0980780 | + | 0.193634i | ||||
\(619\) | 141.832 | − | 245.660i | 0.229131 | − | 0.396867i | −0.728420 | − | 0.685131i | \(-0.759745\pi\) |
0.957551 | + | 0.288265i | \(0.0930782\pi\) | |||||||
\(620\) | 218.898 | + | 126.381i | 0.353061 | + | 0.203840i | ||||
\(621\) | −168.206 | − | 204.692i | −0.270863 | − | 0.329617i | ||||
\(622\) | 68.2262 | 0.109688 | ||||||||
\(623\) | 367.329 | + | 8.21323i | 0.589614 | + | 0.0131834i | ||||
\(624\) | −1.60376 | + | 1.04696i | −0.00257012 | + | 0.00167782i | ||||
\(625\) | −12.5000 | − | 21.6506i | −0.0200000 | − | 0.0346410i | ||||
\(626\) | −96.5352 | − | 55.7346i | −0.154210 | − | 0.0890329i | ||||
\(627\) | −738.288 | + | 40.4656i | −1.17749 | + | 0.0645384i | ||||
\(628\) | −152.319 | − | 263.824i | −0.242546 | − | 0.420102i | ||||
\(629\) | − | 1776.96i | − | 2.82505i | ||||||
\(630\) | −85.9205 | + | 60.1479i | −0.136382 | + | 0.0954729i | ||||
\(631\) | −129.777 | −0.205668 | −0.102834 | − | 0.994699i | \(-0.532791\pi\) | ||||
−0.102834 | + | 0.994699i | \(0.532791\pi\) | |||||||
\(632\) | −91.1282 | + | 52.6129i | −0.144190 | + | 0.0832482i | ||||
\(633\) | 29.4970 | + | 538.168i | 0.0465988 | + | 0.850187i | ||||
\(634\) | 26.2167 | − | 45.4086i | 0.0413512 | − | 0.0716224i | ||||
\(635\) | −277.185 | + | 160.033i | −0.436512 | + | 0.252020i | ||||
\(636\) | 289.241 | + | 443.064i | 0.454781 | + | 0.696642i | ||||
\(637\) | −1.49288 | − | 2.87535i | −0.00234360 | − | 0.00451389i | ||||
\(638\) | 47.3230i | 0.0741740i | ||||||||
\(639\) | −111.861 | − | 1017.38i | −0.175056 | − | 1.59214i | ||||
\(640\) | −145.265 | + | 251.607i | −0.226977 | + | 0.393136i | ||||
\(641\) | 1054.68 | + | 608.920i | 1.64537 | + | 0.949953i | 0.978880 | + | 0.204436i | \(0.0655362\pi\) |
0.666487 | + | 0.745517i | \(0.267797\pi\) | |||||||
\(642\) | 40.2394 | + | 20.3817i | 0.0626782 | + | 0.0317472i | ||||
\(643\) | −287.068 | −0.446451 | −0.223226 | − | 0.974767i | \(-0.571659\pi\) | ||||
−0.223226 | + | 0.974767i | \(0.571659\pi\) | |||||||
\(644\) | 122.891 | − | 202.272i | 0.190824 | − | 0.314086i | ||||
\(645\) | 52.5432 | + | 80.4867i | 0.0814624 | + | 0.124786i | ||||
\(646\) | 308.849 | + | 534.942i | 0.478094 | + | 0.828084i | ||||
\(647\) | −552.197 | − | 318.811i | −0.853473 | − | 0.492753i | 0.00834785 | − | 0.999965i | \(-0.497343\pi\) |
−0.861821 | + | 0.507212i | \(0.830676\pi\) | |||||||
\(648\) | 97.5599 | + | 438.291i | 0.150555 | + | 0.676375i | ||||
\(649\) | 418.995 | + | 725.720i | 0.645600 | + | 1.11821i | ||||
\(650\) | 0.246130i | 0.000378662i | ||||||||
\(651\) | 363.605 | + | 585.149i | 0.558533 | + | 0.898846i | ||||
\(652\) | 673.036 | 1.03226 | ||||||||
\(653\) | 104.032 | − | 60.0629i | 0.159314 | − | 0.0919799i | −0.418223 | − | 0.908344i | \(-0.637347\pi\) |
0.577537 | + | 0.816364i | \(0.304014\pi\) | |||||||
\(654\) | 48.8787 | − | 2.67904i | 0.0747380 | − | 0.00409640i | ||||
\(655\) | −117.118 | + | 202.854i | −0.178806 | + | 0.309700i | ||||
\(656\) | −123.865 | + | 71.5133i | −0.188818 | + | 0.109014i | ||||
\(657\) | 153.563 | − | 349.404i | 0.233734 | − | 0.531817i | ||||
\(658\) | −336.477 | + | 184.362i | −0.511363 | + | 0.280185i | ||||
\(659\) | 254.620i | 0.386373i | 0.981162 | + | 0.193187i | \(0.0618823\pi\) | ||||
−0.981162 | + | 0.193187i | \(0.938118\pi\) | |||||||
\(660\) | 198.896 | + | 100.743i | 0.301357 | + | 0.152641i | ||||
\(661\) | −162.561 | + | 281.565i | −0.245933 | + | 0.425968i | −0.962393 | − | 0.271660i | \(-0.912428\pi\) |
0.716461 | + | 0.697627i | \(0.245761\pi\) | |||||||
\(662\) | −317.788 | − | 183.475i | −0.480042 | − | 0.277152i | ||||
\(663\) | 2.91020 | − | 5.74557i | 0.00438944 | − | 0.00866601i | ||||
\(664\) | 259.467 | 0.390764 | ||||||||
\(665\) | 192.183 | + | 350.751i | 0.288996 | + | 0.527445i | ||||
\(666\) | 335.709 | + | 147.544i | 0.504068 | + | 0.221538i | ||||
\(667\) | 32.3308 | + | 55.9987i | 0.0484720 | + | 0.0839560i | ||||
\(668\) | −587.928 | − | 339.440i | −0.880131 | − | 0.508144i | ||||
\(669\) | −20.3982 | − | 372.161i | −0.0304905 | − | 0.556294i | ||||
\(670\) | 40.0232 | + | 69.3222i | 0.0597361 | + | 0.103466i | ||||
\(671\) | − | 241.511i | − | 0.359927i | ||||||
\(672\) | −523.734 | + | 325.443i | −0.779366 | + | 0.484290i | ||||
\(673\) | 184.479 | 0.274114 | 0.137057 | − | 0.990563i | \(-0.456236\pi\) | ||||
0.137057 | + | 0.990563i | \(0.456236\pi\) | |||||||
\(674\) | −207.531 | + | 119.818i | −0.307910 | + | 0.177772i | ||||
\(675\) | −126.378 | − | 47.4727i | −0.187226 | − | 0.0703300i | ||||
\(676\) | 291.154 | − | 504.294i | 0.430701 | − | 0.745996i | ||||
\(677\) | −199.440 | + | 115.147i | −0.294593 | + | 0.170084i | −0.640011 | − | 0.768365i | \(-0.721070\pi\) |
0.345418 | + | 0.938449i | \(0.387737\pi\) | |||||||
\(678\) | 112.048 | − | 73.1469i | 0.165262 | − | 0.107886i | ||||
\(679\) | −883.987 | − | 537.069i | −1.30190 | − | 0.790970i | ||||
\(680\) | − | 402.479i | − | 0.591881i | ||||||
\(681\) | 301.863 | − | 595.965i | 0.443265 | − | 0.875132i | ||||
\(682\) | −117.794 | + | 204.025i | −0.172719 | + | 0.299157i | ||||
\(683\) | −282.356 | − | 163.018i | −0.413406 | − | 0.238680i | 0.278846 | − | 0.960336i | \(-0.410048\pi\) |
−0.692252 | + | 0.721656i | \(0.743381\pi\) | |||||||
\(684\) | 787.651 | − | 86.6025i | 1.15154 | − | 0.126612i | ||||
\(685\) | 183.346 | 0.267659 | ||||||||
\(686\) | −112.576 | − | 229.215i | −0.164105 | − | 0.334133i | ||||
\(687\) | 430.193 | − | 280.838i | 0.626190 | − | 0.408789i | ||||
\(688\) | 69.1759 | + | 119.816i | 0.100546 | + | 0.174151i | ||||
\(689\) | 2.93094 | + | 1.69218i | 0.00425390 | + | 0.00245599i | ||||
\(690\) | −48.9337 | + | 2.68206i | −0.0709184 | + | 0.00388704i | ||||
\(691\) | −497.886 | − | 862.363i | −0.720529 | − | 1.24799i | −0.960788 | − | 0.277284i | \(-0.910566\pi\) |
0.240259 | − | 0.970709i | \(-0.422768\pi\) | |||||||
\(692\) | − | 270.605i | − | 0.391048i | ||||||
\(693\) | 348.494 | + | 497.819i | 0.502877 | + | 0.718354i | ||||
\(694\) | 48.1558 | 0.0693887 | ||||||||
\(695\) | −4.55234 | + | 2.62829i | −0.00655013 | + | 0.00378172i | ||||
\(696\) | −5.99757 | − | 109.425i | −0.00861720 | − | 0.157219i | ||||
\(697\) | 240.484 | − | 416.530i | 0.345027 | − | 0.597605i | ||||
\(698\) | −97.3970 | + | 56.2322i | −0.139537 | + | 0.0805619i | ||||
\(699\) | 632.449 | + | 968.797i | 0.904791 | + | 1.38598i | ||||
\(700\) | 2.69585 | − | 120.569i | 0.00385121 | − | 0.172242i | ||||
\(701\) | − | 1273.02i | − | 1.81600i | −0.418970 | − | 0.908000i | \(-0.637609\pi\) | ||
0.418970 | − | 0.908000i | \(-0.362391\pi\) | |||||||
\(702\) | 0.843833 | + | 1.02687i | 0.00120204 | + | 0.00146278i | ||||
\(703\) | 699.182 | − | 1211.02i | 0.994569 | − | 1.72264i | ||||
\(704\) | 140.018 | + | 80.8392i | 0.198889 | + | 0.114828i | ||||
\(705\) | −440.562 | − | 223.150i | −0.624911 | − | 0.316525i | ||||
\(706\) | −260.484 | −0.368958 | ||||||||
\(707\) | 214.393 | + | 391.286i | 0.303243 | + | 0.553445i | ||||
\(708\) | −490.920 | − | 752.001i | −0.693390 | − | 1.06215i | ||||
\(709\) | 480.408 | + | 832.091i | 0.677585 | + | 1.17361i | 0.975706 | + | 0.219084i | \(0.0703069\pi\) |
−0.298121 | + | 0.954528i | \(0.596360\pi\) | |||||||
\(710\) | −163.960 | − | 94.6622i | −0.230929 | − | 0.133327i | ||||
\(711\) | −101.077 | − | 137.729i | −0.142162 | − | 0.193711i | ||||
\(712\) | −145.484 | − | 251.985i | −0.204331 | − | 0.353912i | ||||
\(713\) | 321.905i | 0.451480i | ||||||||
\(714\) | 239.454 | − | 447.638i | 0.335370 | − | 0.626943i | ||||
\(715\) | 1.42607 | 0.00199450 | ||||||||
\(716\) | −810.388 | + | 467.878i | −1.13183 | + | 0.653461i | ||||
\(717\) | 848.960 | − | 46.5315i | 1.18404 | − | 0.0648975i | ||||
\(718\) | −204.349 | + | 353.942i | −0.284608 | + | 0.492956i | ||||
\(719\) | 548.388 | − | 316.612i | 0.762710 | − | 0.440351i | −0.0675581 | − | 0.997715i | \(-0.521521\pi\) |
0.830268 | + | 0.557365i | \(0.188187\pi\) | |||||||
\(720\) | −177.893 | − | 78.1840i | −0.247074 | − | 0.108589i | ||||
\(721\) | 9.39755 | − | 420.297i | 0.0130340 | − | 0.582936i | ||||
\(722\) | 217.323i | 0.301002i | ||||||||
\(723\) | 640.441 | + | 324.391i | 0.885810 | + | 0.448673i | ||||
\(724\) | 505.338 | − | 875.272i | 0.697981 | − | 1.20894i | ||||
\(725\) | 28.5343 | + | 16.4743i | 0.0393577 | + | 0.0227232i | ||||
\(726\) | 28.2193 | − | 55.7129i | 0.0388695 | − | 0.0767396i | ||||
\(727\) | 482.265 | 0.663363 | 0.331682 | − | 0.943391i | \(-0.392384\pi\) | ||||
0.331682 | + | 0.943391i | \(0.392384\pi\) | |||||||
\(728\) | −1.33218 | + | 2.19269i | −0.00182991 | + | 0.00301194i | ||||
\(729\) | −690.011 | + | 235.214i | −0.946517 | + | 0.322654i | ||||
\(730\) | −35.2990 | − | 61.1397i | −0.0483548 | − | 0.0837530i | ||||
\(731\) | −402.916 | − | 232.624i | −0.551185 | − | 0.318227i | ||||
\(732\) | 14.1648 | + | 258.435i | 0.0193509 | + | 0.353053i | ||||
\(733\) | 581.543 | + | 1007.26i | 0.793374 | + | 1.37416i | 0.923867 | + | 0.382714i | \(0.125011\pi\) |
−0.130493 | + | 0.991449i | \(0.541656\pi\) | |||||||
\(734\) | 277.625i | 0.378235i | ||||||||
\(735\) | 161.484 | − | 286.301i | 0.219706 | − | 0.389525i | ||||
\(736\) | −288.120 | −0.391467 | ||||||||
\(737\) | 401.649 | − | 231.892i | 0.544978 | − | 0.314643i | ||||
\(738\) | 58.7245 | + | 80.0184i | 0.0795725 | + | 0.108426i | ||||
\(739\) | −28.8365 | + | 49.9463i | −0.0390210 | + | 0.0675863i | −0.884876 | − | 0.465826i | \(-0.845757\pi\) |
0.845855 | + | 0.533412i | \(0.179091\pi\) | |||||||
\(740\) | −365.166 | + | 210.829i | −0.493467 | + | 0.284903i | ||||
\(741\) | 4.24405 | − | 2.77060i | 0.00572747 | − | 0.00373900i | ||||
\(742\) | 227.984 | + | 138.512i | 0.307256 | + | 0.186674i | ||||
\(743\) | − | 1093.23i | − | 1.47138i | −0.677320 | − | 0.735689i | \(-0.736859\pi\) | ||
0.677320 | − | 0.735689i | \(-0.263141\pi\) | |||||||
\(744\) | 246.517 | − | 486.695i | 0.331340 | − | 0.654160i | ||||
\(745\) | −48.8782 | + | 84.6595i | −0.0656083 | + | 0.113637i | ||||
\(746\) | 157.361 | + | 90.8524i | 0.210940 | + | 0.121786i | ||||
\(747\) | 46.0399 | + | 418.733i | 0.0616331 | + | 0.560553i | ||||
\(748\) | −1079.17 | −1.44274 | ||||||||
\(749\) | −141.331 | − | 3.16006i | −0.188693 | − | 0.00421904i | ||||
\(750\) | −20.9104 | + | 13.6507i | −0.0278806 | + | 0.0182010i | ||||
\(751\) | −17.6663 | − | 30.5990i | −0.0235237 | − | 0.0407443i | 0.854024 | − | 0.520234i | \(-0.174155\pi\) |
−0.877548 | + | 0.479489i | \(0.840822\pi\) | |||||||
\(752\) | −615.607 | − | 355.421i | −0.818626 | − | 0.472634i | ||||
\(753\) | −1065.70 | + | 58.4112i | −1.41528 | + | 0.0775713i | ||||
\(754\) | −0.162193 | − | 0.280926i | −0.000215110 | − | 0.000372581i | ||||
\(755\) | 22.5896i | 0.0299200i | ||||||||
\(756\) | −402.113 | − | 512.265i | −0.531895 | − | 0.677599i | ||||
\(757\) | 16.1191 | 0.0212934 | 0.0106467 | − | 0.999943i | \(-0.496611\pi\) | ||||
0.0106467 | + | 0.999943i | \(0.496611\pi\) | |||||||
\(758\) | −319.706 | + | 184.582i | −0.421776 | + | 0.243513i | ||||
\(759\) | 15.5397 | + | 283.519i | 0.0204739 | + | 0.373543i | ||||
\(760\) | 158.364 | − | 274.295i | 0.208374 | − | 0.360914i | ||||
\(761\) | 1015.70 | − | 586.417i | 1.33470 | − | 0.770587i | 0.348681 | − | 0.937242i | \(-0.386630\pi\) |
0.986015 | + | 0.166654i | \(0.0532964\pi\) | |||||||
\(762\) | 174.765 | + | 267.709i | 0.229351 | + | 0.351324i | ||||
\(763\) | −134.545 | + | 73.7195i | −0.176337 | + | 0.0966180i | ||||
\(764\) | 652.734i | 0.854364i | ||||||||
\(765\) | 649.528 | − | 71.4159i | 0.849057 | − | 0.0933541i | ||||
\(766\) | 131.361 | − | 227.524i | 0.171489 | − | 0.297029i | ||||
\(767\) | −4.97461 | − | 2.87209i | −0.00648580 | − | 0.00374458i | ||||
\(768\) | 79.4509 | + | 40.2428i | 0.103452 | + | 0.0523995i | ||||
\(769\) | −1200.18 | −1.56070 | −0.780350 | − | 0.625343i | \(-0.784959\pi\) | ||||
−0.780350 | + | 0.625343i | \(0.784959\pi\) | |||||||
\(770\) | 112.378 | + | 2.51269i | 0.145945 | + | 0.00326323i | ||||
\(771\) | 470.015 | + | 719.979i | 0.609618 | + | 0.933825i | ||||
\(772\) | −371.918 | − | 644.181i | −0.481759 | − | 0.834432i | ||||
\(773\) | −281.702 | − | 162.641i | −0.364427 | − | 0.210402i | 0.306594 | − | 0.951840i | \(-0.400811\pi\) |
−0.671021 | + | 0.741438i | \(0.734144\pi\) | |||||||
\(774\) | 77.4030 | − | 56.8051i | 0.100004 | − | 0.0733916i | ||||
\(775\) | 82.0140 | + | 142.052i | 0.105825 | + | 0.183293i | ||||
\(776\) | 819.119i | 1.05557i | ||||||||
\(777\) | −1148.65 | + | 37.2290i | −1.47832 | + | 0.0479137i | ||||
\(778\) | 81.3480 | 0.104560 | ||||||||
\(779\) | 327.786 | − | 189.247i | 0.420777 | − | 0.242936i | ||||
\(780\) | −1.52600 | + | 0.0836401i | −0.00195641 | + | 0.000107231i | ||||
\(781\) | −548.468 | + | 949.974i | −0.702264 | + | 1.21636i | ||||
\(782\) | 205.430 | − | 118.605i | 0.262698 | − | 0.151669i | ||||
\(783\) | 175.527 | − | 29.0953i | 0.224173 | − | 0.0371587i | ||||
\(784\) | 254.640 | − | 398.756i | 0.324796 | − | 0.508618i | ||||
\(785\) | − | 197.693i | − | 0.251838i | ||||||
\(786\) | 208.723 | + | 105.721i | 0.265551 | + | 0.134505i | ||||
\(787\) | −613.043 | + | 1061.82i | −0.778962 | + | 1.34920i | 0.153578 | + | 0.988137i | \(0.450920\pi\) |
−0.932540 | + | 0.361066i | \(0.882413\pi\) | |||||||
\(788\) | −699.339 | − | 403.763i | −0.887486 | − | 0.512390i | ||||
\(789\) | 4.41686 | − | 8.72015i | 0.00559805 | − | 0.0110522i | ||||
\(790\) | −31.6011 | −0.0400013 | ||||||||
\(791\) | −217.749 | + | 358.404i | −0.275283 | + | 0.453102i | ||||
\(792\) | 193.626 | − | 440.559i | 0.244477 | − | 0.556261i | ||||
\(793\) | 0.827745 | + | 1.43370i | 0.00104381 | + | 0.00180794i | ||||
\(794\) | −413.227 | − | 238.577i | −0.520437 | − | 0.300475i | ||||
\(795\) | 18.7918 | + | 342.854i | 0.0236375 | + | 0.431263i | ||||
\(796\) | 640.848 | + | 1109.98i | 0.805085 | + | 1.39445i | ||||
\(797\) | 381.560i | 0.478746i | 0.970928 | + | 0.239373i | \(0.0769419\pi\) | ||||
−0.970928 | + | 0.239373i | \(0.923058\pi\) | |||||||
\(798\) | 339.324 | − | 210.852i | 0.425218 | − | 0.264226i | ||||
\(799\) | 2390.41 | 2.99175 | ||||||||
\(800\) | −127.143 | + | 73.4062i | −0.158929 | + | 0.0917577i | ||||
\(801\) | 380.844 | − | 279.497i | 0.475460 | − | 0.348935i | ||||
\(802\) | −45.1079 | + | 78.1292i | −0.0562443 | + | 0.0974180i | ||||
\(803\) | −354.240 | + | 204.521i | −0.441146 | + | 0.254696i | ||||
\(804\) | −416.194 | + | 271.699i | −0.517655 | + | 0.337935i | ||||
\(805\) | 134.696 | − | 73.8026i | 0.167325 | − | 0.0916802i | ||||
\(806\) | − | 1.61489i | − | 0.00200359i | ||||||
\(807\) | 52.9903 | − | 104.618i | 0.0656634 | − | 0.129638i | ||||
\(808\) | 176.666 | − | 305.994i | 0.218646 | − | 0.378705i | ||||
\(809\) | −168.702 | − | 97.4003i | −0.208532 | − | 0.120396i | 0.392097 | − | 0.919924i | \(-0.371750\pi\) |
−0.600629 | + | 0.799528i | \(0.705083\pi\) | |||||||
\(810\) | −40.4395 | + | 128.641i | −0.0499253 | + | 0.158816i | ||||
\(811\) | −722.893 | −0.891360 | −0.445680 | − | 0.895192i | \(-0.647038\pi\) | ||||
−0.445680 | + | 0.895192i | \(0.647038\pi\) | |||||||
\(812\) | 76.3748 | + | 139.391i | 0.0940576 | + | 0.171664i | ||||
\(813\) | −587.149 | + | 383.302i | −0.722201 | + | 0.471466i | ||||
\(814\) | −196.505 | − | 340.356i | −0.241406 | − | 0.418128i | ||||
\(815\) | 378.248 | + | 218.382i | 0.464108 | + | 0.267953i | ||||
\(816\) | 939.141 | − | 51.4743i | 1.15091 | − | 0.0630813i | ||||
\(817\) | −183.062 | − | 317.072i | −0.224066 | − | 0.388093i | ||||
\(818\) | − | 253.999i | − | 0.310512i | ||||||
\(819\) | −3.77499 | − | 1.76082i | −0.00460927 | − | 0.00214996i | ||||
\(820\) | −114.130 | −0.139182 | ||||||||
\(821\) | −1025.83 | + | 592.262i | −1.24949 | + | 0.721391i | −0.971007 | − | 0.239052i | \(-0.923163\pi\) |
−0.278478 | + | 0.960443i | \(0.589830\pi\) | |||||||
\(822\) | −10.0228 | − | 182.865i | −0.0121932 | − | 0.222463i | ||||
\(823\) | 152.759 | − | 264.587i | 0.185613 | − | 0.321490i | −0.758170 | − | 0.652057i | \(-0.773906\pi\) |
0.943783 | + | 0.330566i | \(0.107240\pi\) | |||||||
\(824\) | −288.321 | + | 166.462i | −0.349904 | + | 0.202017i | ||||
\(825\) | 79.0916 | + | 121.154i | 0.0958686 | + | 0.146853i | ||||
\(826\) | −386.951 | − | 235.093i | −0.468464 | − | 0.284616i | ||||
\(827\) | − | 913.289i | − | 1.10434i | −0.833732 | − | 0.552170i | \(-0.813800\pi\) | ||
0.833732 | − | 0.552170i | \(-0.186200\pi\) | |||||||
\(828\) | −33.2573 | − | 302.476i | −0.0401659 | − | 0.365309i | ||||
\(829\) | −678.248 | + | 1174.76i | −0.818152 | + | 1.41708i | 0.0888902 | + | 0.996041i | \(0.471668\pi\) |
−0.907042 | + | 0.421040i | \(0.861665\pi\) | |||||||
\(830\) | 67.4828 | + | 38.9612i | 0.0813046 | + | 0.0469412i | ||||
\(831\) | 559.509 | + | 283.398i | 0.673296 | + | 0.341032i | ||||
\(832\) | −1.10826 | −0.00133204 | ||||||||
\(833\) | −71.1127 | + | 1589.43i | −0.0853694 | + | 1.90808i | ||||
\(834\) | 2.87025 | + | 4.39670i | 0.00344155 | + | 0.00527183i | ||||
\(835\) | −220.278 | − | 381.532i | −0.263806 | − | 0.456925i | ||||
\(836\) | −735.468 | − | 424.622i | −0.879746 | − | 0.507922i | ||||
\(837\) | 829.180 | + | 311.474i | 0.990657 | + | 0.372132i | ||||
\(838\) | 74.1037 | + | 128.351i | 0.0884292 | + | 0.153164i | ||||
\(839\) | 754.480i | 0.899261i | 0.893215 | + | 0.449630i | \(0.148444\pi\) | ||||
−0.893215 | + | 0.449630i | \(0.851556\pi\) | |||||||
\(840\) | −260.169 | + | 8.43233i | −0.309724 | + | 0.0100385i | ||||
\(841\) | 797.576 | 0.948366 | ||||||||
\(842\) | 400.025 | − | 230.954i | 0.475089 | − | 0.274293i | ||||
\(843\) | 672.948 | − | 36.8843i | 0.798278 | − | 0.0437536i | ||||
\(844\) | −309.525 | + | 536.113i | −0.366736 | + | 0.635205i | ||||
\(845\) | 327.259 | − | 188.943i | 0.387288 | − | 0.223601i | ||||
\(846\) | −198.480 | + | 451.604i | −0.234610 | + | 0.533811i | ||||
\(847\) | −4.37523 | + | 195.678i | −0.00516556 | + | 0.231025i | ||||
\(848\) | 494.237i | 0.582826i | ||||||||
\(849\) | 13.9602 | + | 7.07101i | 0.0164431 | + | 0.00832863i | ||||
\(850\) | 60.4356 | − | 104.678i | 0.0711007 | − | 0.123150i | ||||
\(851\) | −465.059 | − | 268.502i | −0.546485 | − | 0.315513i | ||||
\(852\) | 531.186 | − | 1048.71i | 0.623457 | − | 1.23088i | ||||
\(853\) | 436.641 | 0.511889 | 0.255944 | − | 0.966691i | \(-0.417614\pi\) | ||||
0.255944 | + | 0.966691i | \(0.417614\pi\) | |||||||
\(854\) | 62.7022 | + | 114.437i | 0.0734218 | + | 0.134002i | ||||
\(855\) | 470.762 | + | 206.900i | 0.550599 | + | 0.241988i | ||||
\(856\) | 55.9753 | + | 96.9520i | 0.0653917 | + | 0.113262i | ||||
\(857\) | −638.774 | − | 368.797i | −0.745361 | − | 0.430334i | 0.0786542 | − | 0.996902i | \(-0.474938\pi\) |
−0.824015 | + | 0.566568i | \(0.808271\pi\) | |||||||
\(858\) | −0.0779575 | − | 1.42232i | −9.08596e−5 | − | 0.00165772i | ||||
\(859\) | 170.431 | + | 295.195i | 0.198406 | + | 0.343649i | 0.948012 | − | 0.318235i | \(-0.103090\pi\) |
−0.749606 | + | 0.661885i | \(0.769757\pi\) | |||||||
\(860\) | 110.399i | 0.128371i | ||||||||
\(861\) | −274.290 | − | 146.726i | −0.318571 | − | 0.170413i | ||||
\(862\) | −567.060 | −0.657842 | ||||||||
\(863\) | 213.398 | − | 123.206i | 0.247275 | − | 0.142764i | −0.371241 | − | 0.928537i | \(-0.621068\pi\) |
0.618516 | + | 0.785772i | \(0.287734\pi\) | |||||||
\(864\) | −278.783 | + | 742.153i | −0.322666 | + | 0.858973i | ||||
\(865\) | 87.8038 | − | 152.081i | 0.101507 | − | 0.175816i | ||||
\(866\) | −48.3459 | + | 27.9125i | −0.0558267 | + | 0.0322316i | ||||
\(867\) | −1922.48 | + | 1255.03i | −2.21739 | + | 1.44755i | ||||
\(868\) | −17.6878 | + | 791.070i | −0.0203776 | + | 0.911371i | ||||
\(869\) | 183.095i | 0.210696i | ||||||||
\(870\) | 14.8712 | − | 29.3599i | 0.0170933 | − | 0.0337471i | ||||
\(871\) | −1.58956 | + | 2.75319i | −0.00182498 | + | 0.00316095i | ||||
\(872\) | 105.217 | + | 60.7470i | 0.120662 | + | 0.0696640i | ||||
\(873\) | −1321.91 | + | 145.345i | −1.51422 | + | 0.166489i | ||||
\(874\) | 186.671 | 0.213582 | ||||||||
\(875\) | 40.6365 | − | 66.8855i | 0.0464417 | − | 0.0764406i | ||||
\(876\) | 367.069 | − | 239.629i | 0.419028 | − | 0.273549i | ||||
\(877\) | −359.617 | − | 622.874i | −0.410053 | − | 0.710233i | 0.584842 | − | 0.811147i | \(-0.301157\pi\) |
−0.994895 | + | 0.100914i | \(0.967823\pi\) | |||||||
\(878\) | 115.801 | + | 66.8579i | 0.131892 | + | 0.0761480i | ||||
\(879\) | 190.567 | − | 10.4450i | 0.216800 | − | 0.0118828i | ||||
\(880\) | 104.128 | + | 180.355i | 0.118327 | + | 0.204949i | ||||
\(881\) | − | 393.274i | − | 0.446395i | −0.974773 | − | 0.223198i | \(-0.928350\pi\) | ||
0.974773 | − | 0.223198i | \(-0.0716495\pi\) | |||||||
\(882\) | −294.376 | − | 145.408i | −0.333760 | − | 0.164862i | ||||
\(883\) | 18.4211 | 0.0208620 | 0.0104310 | − | 0.999946i | \(-0.496680\pi\) | ||||
0.0104310 | + | 0.999946i | \(0.496680\pi\) | |||||||
\(884\) | 6.40634 | − | 3.69870i | 0.00724699 | − | 0.00418405i | ||||
\(885\) | −31.8949 | − | 581.917i | −0.0360394 | − | 0.657533i | ||||
\(886\) | −265.830 | + | 460.431i | −0.300034 | + | 0.519674i | ||||
\(887\) | 1014.13 | − | 585.511i | 1.14333 | − | 0.660102i | 0.196077 | − | 0.980588i | \(-0.437180\pi\) |
0.947253 | + | 0.320486i | \(0.103846\pi\) | |||||||
\(888\) | 497.512 | + | 762.098i | 0.560261 | + | 0.858218i | ||||
\(889\) | −856.311 | − | 520.254i | −0.963230 | − | 0.585213i | ||||
\(890\) | − | 87.3824i | − | 0.0981825i | ||||||
\(891\) | 745.339 | + | 234.304i | 0.836520 | + | 0.262968i | ||||
\(892\) | 214.046 | − | 370.739i | 0.239962 | − | 0.415627i | ||||
\(893\) | 1629.09 | + | 940.557i | 1.82429 | + | 1.05326i | ||||
\(894\) | 87.1091 | + | 44.1218i | 0.0974375 | + | 0.0493532i | ||||
\(895\) | −607.254 | −0.678496 | ||||||||
\(896\) | −909.277 | − | 20.3308i | −1.01482 | − | 0.0226906i | ||||
\(897\) | −1.06397 | − | 1.62981i | −0.00118615 | − | 0.00181696i | ||||
\(898\) | −68.4510 | − | 118.561i | −0.0762260 | − | 0.132027i | ||||
\(899\) | −187.217 | − | 108.090i | −0.208250 | − | 0.120233i | ||||
\(900\) | −91.7398 | − | 125.005i | −0.101933 | − | 0.138895i | ||||
\(901\) | −831.006 | − | 1439.34i | −0.922315 | − | 1.59750i | ||||
\(902\) | − | 106.375i | − | 0.117933i | ||||||
\(903\) | −141.930 | + | 265.325i | −0.157176 | + | 0.293826i | ||||
\(904\) | 332.104 | 0.367371 | ||||||||
\(905\) | 568.003 | − | 327.937i | 0.627628 | − | 0.362361i | ||||
\(906\) | 22.5303 | − | 1.23489i | 0.0248678 | − | 0.00136301i | ||||
\(907\) | 393.177 | − | 681.003i | 0.433492 | − | 0.750830i | −0.563679 | − | 0.825994i | \(-0.690615\pi\) |
0.997171 | + | 0.0751639i | \(0.0239480\pi\) | |||||||
\(908\) | 664.504 | − | 383.652i | 0.731833 | − | 0.422524i | ||||
\(909\) | 525.166 | + | 230.811i | 0.577740 | + | 0.253917i | ||||
\(910\) | −0.675726 | + | 0.370243i | −0.000742556 | + | 0.000406860i | ||||
\(911\) | − | 507.505i | − | 0.557086i | −0.960424 | − | 0.278543i | \(-0.910149\pi\) | ||
0.960424 | − | 0.278543i | \(-0.0898515\pi\) | |||||||
\(912\) | 660.290 | + | 334.445i | 0.724002 | + | 0.366716i | ||||
\(913\) | 225.739 | − | 390.992i | 0.247250 | − | 0.428250i | ||||
\(914\) | −454.133 | − | 262.194i | −0.496864 | − | 0.286864i | ||||
\(915\) | −75.8943 | + | 149.837i | −0.0829446 | + | 0.163757i | ||||
\(916\) | 590.072 | 0.644183 | ||||||||
\(917\) | −733.089 | − | 16.3914i | −0.799443 | − | 0.0178750i | ||||
\(918\) | −106.736 | − | 643.918i | −0.116270 | − | 0.701436i | ||||
\(919\) | 504.430 | + | 873.698i | 0.548890 | + | 0.950705i | 0.998351 | + | 0.0574053i | \(0.0182827\pi\) |
−0.449461 | + | 0.893300i | \(0.648384\pi\) | |||||||
\(920\) | −105.335 | − | 60.8154i | −0.114495 | − | 0.0661037i | ||||
\(921\) | −24.2887 | − | 443.143i | −0.0263721 | − | 0.481154i | ||||
\(922\) | −284.328 | − | 492.470i | −0.308381 | − | 0.534132i | ||||
\(923\) | − | 7.51919i | − | 0.00814647i | ||||||
\(924\) | 22.6096 | + | 697.591i | 0.0244693 | + | 0.754969i | ||||
\(925\) | −273.632 | −0.295819 | ||||||||
\(926\) | 456.272 | − | 263.429i | 0.492735 | − | 0.284480i | ||||
\(927\) | −319.799 | − | 435.760i | −0.344983 | − | 0.470076i | ||||
\(928\) | 96.7452 | − | 167.568i | 0.104251 | − | 0.180568i | ||||
\(929\) | −1414.26 | + | 816.522i | −1.52234 | + | 0.878926i | −0.522693 | + | 0.852521i | \(0.675073\pi\) |
−0.999651 | + | 0.0264052i | \(0.991594\pi\) | |||||||
\(930\) | 137.196 | − | 89.5641i | 0.147523 | − | 0.0963054i | ||||
\(931\) | −673.860 | + | 1055.24i | −0.723802 | + | 1.13344i | ||||
\(932\) | 1328.85i | 1.42580i | ||||||||
\(933\) | −124.222 | + | 245.250i | −0.133142 | + | 0.262862i | ||||
\(934\) | 6.30199 | − | 10.9154i | 0.00674732 | − | 0.0116867i | ||||
\(935\) | −606.496 | − | 350.161i | −0.648659 | − | 0.374504i | ||||
\(936\) | 0.360521 | + | 3.27894i | 0.000385172 | + | 0.00350314i | ||||
\(937\) | 540.935 | 0.577305 | 0.288652 | − | 0.957434i | \(-0.406793\pi\) | ||||
0.288652 | + | 0.957434i | \(0.406793\pi\) | |||||||
\(938\) | −130.112 | + | 214.158i | −0.138712 | + | 0.228313i | ||||
\(939\) | 376.112 | − | 245.533i | 0.400545 | − | 0.261483i | ||||
\(940\) | −283.612 | − | 491.230i | −0.301715 | − | 0.522585i | ||||
\(941\) | 346.339 | + | 199.959i | 0.368054 | + | 0.212496i | 0.672608 | − | 0.739999i | \(-0.265174\pi\) |
−0.304554 | + | 0.952495i | \(0.598507\pi\) | |||||||
\(942\) | −197.174 | + | 10.8071i | −0.209314 | + | 0.0114725i | ||||
\(943\) | −72.6752 | − | 125.877i | −0.0770681 | − | 0.133486i | ||||
\(944\) | − | 838.855i | − | 0.888617i | ||||||
\(945\) | −59.7726 | − | 418.369i | −0.0632514 | − | 0.442718i | ||||
\(946\) | −102.899 | −0.108772 | ||||||||
\(947\) | −781.763 | + | 451.351i | −0.825515 | + | 0.476611i | −0.852315 | − | 0.523030i | \(-0.824802\pi\) |
0.0267996 | + | 0.999641i | \(0.491468\pi\) | |||||||
\(948\) | −10.7387 | − | 195.925i | −0.0113277 | − | 0.206672i | ||||
\(949\) | 1.40193 | − | 2.42822i | 0.00147727 | − | 0.00255871i | ||||
\(950\) | 82.3753 | − | 47.5594i | 0.0867108 | − | 0.0500625i | ||||
\(951\) | 115.495 | + | 176.917i | 0.121446 | + | 0.186033i | ||||
\(952\) | 1104.97 | − | 605.431i | 1.16068 | − | 0.635957i | ||||
\(953\) | − | 1542.62i | − | 1.61870i | −0.587328 | − | 0.809349i | \(-0.699820\pi\) | ||
0.587328 | − | 0.809349i | \(-0.300180\pi\) | |||||||
\(954\) | 340.926 | − | 37.4850i | 0.357365 | − | 0.0392924i | ||||
\(955\) | −211.794 | + | 366.838i | −0.221774 | + | 0.384124i | ||||
\(956\) | 845.717 | + | 488.275i | 0.884641 | + | 0.510748i | ||||
\(957\) | −170.110 | − | 86.1627i | −0.177753 | − | 0.0900342i | ||||
\(958\) | 222.405 | 0.232155 | ||||||||
\(959\) | 275.799 | + | 503.359i | 0.287590 | + | 0.524879i | ||||
\(960\) | −61.4656 | − | 94.1542i | −0.0640267 | − | 0.0980773i | ||||
\(961\) | −57.6038 | − | 99.7727i | −0.0599415 | − | 0.103822i | ||||
\(962\) | 2.33304 | + | 1.34698i | 0.00242520 | + | 0.00140019i | ||||
\(963\) | −146.531 | + | 107.537i | −0.152161 | + | 0.111669i | ||||
\(964\) | 412.283 | + | 714.096i | 0.427680 | + | 0.740763i | ||||
\(965\) | − | 482.709i | − | 0.500216i | ||||||
\(966\) | −80.9720 | − | 130.308i | −0.0838220 | − | 0.134895i | ||||
\(967\) | −332.442 | −0.343787 | −0.171893 | − | 0.985116i | \(-0.554988\pi\) | ||||
−0.171893 | + | 0.985116i | \(0.554988\pi\) | |||||||
\(968\) | 134.234 | − | 77.4999i | 0.138671 | − | 0.0800618i | ||||
\(969\) | −2485.27 | + | 136.218i | −2.56477 | + | 0.140575i | ||||
\(970\) | −122.998 | + | 213.038i | −0.126802 | + | 0.219627i | ||||
\(971\) | 978.362 | − | 564.857i | 1.00758 | − | 0.581728i | 0.0970990 | − | 0.995275i | \(-0.469044\pi\) |
0.910483 | + | 0.413547i | \(0.135710\pi\) | |||||||
\(972\) | −811.312 | − | 207.008i | −0.834683 | − | 0.212972i | ||||
\(973\) | −14.0636 | − | 8.54437i | −0.0144538 | − | 0.00878147i | ||||
\(974\) | 245.873i | 0.252437i | ||||||||
\(975\) | −0.884755 | − | 0.448139i | −0.000907441 | − | 0.000459630i | ||||
\(976\) | −120.880 | + | 209.371i | −0.123853 | + | 0.214519i | ||||
\(977\) | 1214.41 | + | 701.139i | 1.24300 | + | 0.717645i | 0.969703 | − | 0.244285i | \(-0.0785533\pi\) |
0.273295 | + | 0.961930i | \(0.411887\pi\) | |||||||
\(978\) | 197.131 | − | 389.193i | 0.201565 | − | 0.397947i | ||||
\(979\) | −506.289 | −0.517149 | ||||||||
\(980\) | 335.066 | − | 173.966i | 0.341904 | − | 0.177516i | ||||
\(981\) | −79.3650 | + | 180.580i | −0.0809021 | + | 0.184077i | ||||
\(982\) | 132.864 | + | 230.127i | 0.135300 | + | 0.234346i | ||||
\(983\) | 356.234 | + | 205.672i | 0.362395 | + | 0.209229i | 0.670131 | − | 0.742243i | \(-0.266238\pi\) |
−0.307736 | + | 0.951472i | \(0.599571\pi\) | |||||||
\(984\) | 13.4817 | + | 245.971i | 0.0137009 | + | 0.249971i | ||||
\(985\) | −262.020 | − | 453.832i | −0.266010 | − | 0.460743i | ||||
\(986\) | 159.301i | 0.161563i | ||||||||
\(987\) | −50.0813 | − | 1545.19i | −0.0507410 | − | 1.56555i | ||||
\(988\) | 5.82134 | 0.00589204 | ||||||||
\(989\) | −121.763 | + | 70.2999i | −0.123117 | + | 0.0710817i | ||||
\(990\) | 116.512 | − | 85.5069i | 0.117689 | − | 0.0863706i | ||||
\(991\) | −142.819 | + | 247.370i | −0.144116 | + | 0.249616i | −0.929043 | − | 0.369972i | \(-0.879367\pi\) |
0.784927 | + | 0.619588i | \(0.212700\pi\) | |||||||
\(992\) | 834.202 | − | 481.627i | 0.840929 | − | 0.485511i | ||||
\(993\) | 1238.14 | − | 808.278i | 1.24686 | − | 0.813976i | ||||
\(994\) | 13.2486 | − | 592.531i | 0.0133286 | − | 0.596108i | ||||
\(995\) | 831.749i | 0.835929i | ||||||||
\(996\) | −218.626 | + | 431.631i | −0.219504 | + | 0.433364i | ||||
\(997\) | 505.131 | − | 874.913i | 0.506651 | − | 0.877546i | −0.493319 | − | 0.869848i | \(-0.664216\pi\) |
0.999970 | − | 0.00769741i | \(-0.00245019\pi\) | |||||||
\(998\) | −238.353 | − | 137.613i | −0.238830 | − | 0.137889i | ||||
\(999\) | −1141.61 | + | 938.120i | −1.14275 | + | 0.939059i |
(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 | 105.3.t.b.11.10 | yes | 36 | |
3.2 | odd | 2 | inner | 105.3.t.b.11.9 | ✓ | 36 | |
7.2 | even | 3 | inner | 105.3.t.b.86.9 | yes | 36 | |
21.2 | odd | 6 | inner | 105.3.t.b.86.10 | yes | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
105.3.t.b.11.9 | ✓ | 36 | 3.2 | odd | 2 | inner | |
105.3.t.b.11.10 | yes | 36 | 1.1 | even | 1 | trivial | |
105.3.t.b.86.9 | yes | 36 | 7.2 | even | 3 | inner | |
105.3.t.b.86.10 | yes | 36 | 21.2 | odd | 6 | inner |