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 | 11.16 | ||
Character | \(\chi\) | \(=\) | 105.11 |
Dual form | 105.3.t.b.86.16 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.60397 | − | 1.50340i | 1.30199 | − | 0.751701i | 0.321241 | − | 0.946998i | \(-0.395900\pi\) |
0.980744 | + | 0.195296i | \(0.0625668\pi\) | |||||||
\(3\) | −0.740030 | − | 2.90729i | −0.246677 | − | 0.969098i | ||||
\(4\) | 2.52044 | − | 4.36553i | 0.630110 | − | 1.09138i | ||||
\(5\) | −1.93649 | + | 1.11803i | −0.387298 | + | 0.223607i | ||||
\(6\) | −6.29785 | − | 6.45794i | −1.04964 | − | 1.07632i | ||||
\(7\) | −0.494553 | − | 6.98251i | −0.0706504 | − | 0.997501i | ||||
\(8\) | − | 3.12973i | − | 0.391216i | ||||||
\(9\) | −7.90471 | + | 4.30297i | −0.878301 | + | 0.478108i | ||||
\(10\) | −3.36171 | + | 5.82265i | −0.336171 | + | 0.582265i | ||||
\(11\) | 16.3666 | + | 9.44928i | 1.48788 | + | 0.859025i | 0.999904 | − | 0.0138346i | \(-0.00440384\pi\) |
0.487971 | + | 0.872860i | \(0.337737\pi\) | |||||||
\(12\) | −14.5571 | − | 4.09704i | −1.21309 | − | 0.341420i | ||||
\(13\) | 17.2837 | 1.32951 | 0.664757 | − | 0.747059i | \(-0.268535\pi\) | ||||
0.664757 | + | 0.747059i | \(0.268535\pi\) | |||||||
\(14\) | −11.7853 | − | 17.4387i | −0.841809 | − | 1.24562i | ||||
\(15\) | 4.68351 | + | 4.80257i | 0.312234 | + | 0.320171i | ||||
\(16\) | 5.37652 | + | 9.31241i | 0.336033 | + | 0.582026i | ||||
\(17\) | −21.7883 | − | 12.5795i | −1.28166 | − | 0.739969i | −0.304511 | − | 0.952509i | \(-0.598493\pi\) |
−0.977152 | + | 0.212540i | \(0.931826\pi\) | |||||||
\(18\) | −14.1145 | + | 23.0888i | −0.784141 | + | 1.28271i | ||||
\(19\) | −1.28629 | − | 2.22791i | −0.0676993 | − | 0.117259i | 0.830189 | − | 0.557482i | \(-0.188233\pi\) |
−0.897888 | + | 0.440224i | \(0.854899\pi\) | |||||||
\(20\) | 11.2718i | 0.563588i | ||||||||
\(21\) | −19.9342 | + | 6.60507i | −0.949248 | + | 0.314527i | ||||
\(22\) | 56.8243 | 2.58292 | ||||||||
\(23\) | −0.196138 | + | 0.113240i | −0.00852774 | + | 0.00492349i | −0.504258 | − | 0.863553i | \(-0.668234\pi\) |
0.495730 | + | 0.868477i | \(0.334901\pi\) | |||||||
\(24\) | −9.09904 | + | 2.31609i | −0.379126 | + | 0.0965038i | ||||
\(25\) | 2.50000 | − | 4.33013i | 0.100000 | − | 0.173205i | ||||
\(26\) | 45.0062 | − | 25.9844i | 1.73101 | − | 0.999398i | ||||
\(27\) | 18.3597 | + | 19.7970i | 0.679989 | + | 0.733222i | ||||
\(28\) | −31.7288 | − | 15.4400i | −1.13317 | − | 0.551429i | ||||
\(29\) | 11.7618i | 0.405580i | 0.979222 | + | 0.202790i | \(0.0650009\pi\) | ||||
−0.979222 | + | 0.202790i | \(0.934999\pi\) | |||||||
\(30\) | 19.4159 | + | 5.46454i | 0.647198 | + | 0.182151i | ||||
\(31\) | −26.5324 | + | 45.9555i | −0.855885 | + | 1.48244i | 0.0199372 | + | 0.999801i | \(0.493653\pi\) |
−0.875822 | + | 0.482635i | \(0.839680\pi\) | |||||||
\(32\) | 38.8423 | + | 22.4256i | 1.21382 | + | 0.700800i | ||||
\(33\) | 15.3600 | − | 54.5753i | 0.465455 | − | 1.65380i | ||||
\(34\) | −75.6480 | −2.22494 | ||||||||
\(35\) | 8.76438 | + | 12.9686i | 0.250411 | + | 0.370533i | ||||
\(36\) | −1.13862 | + | 45.3536i | −0.0316283 | + | 1.25982i | ||||
\(37\) | −5.41981 | − | 9.38738i | −0.146481 | − | 0.253713i | 0.783443 | − | 0.621463i | \(-0.213461\pi\) |
−0.929925 | + | 0.367750i | \(0.880128\pi\) | |||||||
\(38\) | −6.69890 | − | 3.86761i | −0.176287 | − | 0.101779i | ||||
\(39\) | −12.7904 | − | 50.2488i | −0.327960 | − | 1.28843i | ||||
\(40\) | 3.49914 | + | 6.06069i | 0.0874785 | + | 0.151517i | ||||
\(41\) | − | 4.80764i | − | 0.117260i | −0.998280 | − | 0.0586298i | \(-0.981327\pi\) | ||
0.998280 | − | 0.0586298i | \(-0.0186731\pi\) | |||||||
\(42\) | −41.9780 | + | 47.1686i | −0.999477 | + | 1.12306i | ||||
\(43\) | −1.49099 | −0.0346742 | −0.0173371 | − | 0.999850i | \(-0.505519\pi\) | ||||
−0.0173371 | + | 0.999850i | \(0.505519\pi\) | |||||||
\(44\) | 82.5022 | − | 47.6327i | 1.87505 | − | 1.08256i | ||||
\(45\) | 10.4965 | − | 17.1704i | 0.233257 | − | 0.381564i | ||||
\(46\) | −0.340492 | + | 0.589749i | −0.00740200 | + | 0.0128206i | ||||
\(47\) | −0.114843 | + | 0.0663044i | −0.00244346 | + | 0.00141073i | −0.501221 | − | 0.865319i | \(-0.667116\pi\) |
0.498778 | + | 0.866730i | \(0.333782\pi\) | |||||||
\(48\) | 23.0951 | − | 22.5226i | 0.481148 | − | 0.469221i | ||||
\(49\) | −48.5108 | + | 6.90644i | −0.990017 | + | 0.140948i | ||||
\(50\) | − | 15.0340i | − | 0.300681i | ||||||
\(51\) | −20.4482 | + | 72.6541i | −0.400946 | + | 1.42459i | ||||
\(52\) | 43.5625 | − | 75.4525i | 0.837741 | − | 1.45101i | ||||
\(53\) | −28.3732 | − | 16.3813i | −0.535344 | − | 0.309081i | 0.207846 | − | 0.978162i | \(-0.433355\pi\) |
−0.743190 | + | 0.669081i | \(0.766688\pi\) | |||||||
\(54\) | 77.5710 | + | 23.9487i | 1.43650 | + | 0.443495i | ||||
\(55\) | −42.2585 | −0.768336 | ||||||||
\(56\) | −21.8533 | + | 1.54782i | −0.390238 | + | 0.0276396i | ||||
\(57\) | −5.52531 | + | 5.38834i | −0.0969352 | + | 0.0945322i | ||||
\(58\) | 17.6828 | + | 30.6274i | 0.304875 | + | 0.528059i | ||||
\(59\) | −35.6419 | − | 20.5778i | −0.604100 | − | 0.348777i | 0.166553 | − | 0.986032i | \(-0.446736\pi\) |
−0.770653 | + | 0.637255i | \(0.780070\pi\) | |||||||
\(60\) | 32.7703 | − | 8.34143i | 0.546172 | − | 0.139024i | ||||
\(61\) | −3.00507 | − | 5.20494i | −0.0492635 | − | 0.0853269i | 0.840342 | − | 0.542056i | \(-0.182354\pi\) |
−0.889606 | + | 0.456729i | \(0.849021\pi\) | |||||||
\(62\) | 159.556i | 2.57348i | ||||||||
\(63\) | 33.9548 | + | 53.0667i | 0.538965 | + | 0.842328i | ||||
\(64\) | 91.8467 | 1.43511 | ||||||||
\(65\) | −33.4697 | + | 19.3238i | −0.514919 | + | 0.297289i | ||||
\(66\) | −42.0517 | − | 165.205i | −0.637146 | − | 2.50310i | ||||
\(67\) | −48.0577 | + | 83.2384i | −0.717279 | + | 1.24236i | 0.244794 | + | 0.969575i | \(0.421280\pi\) |
−0.962074 | + | 0.272789i | \(0.912054\pi\) | |||||||
\(68\) | −109.832 | + | 63.4116i | −1.61518 | + | 0.932523i | ||||
\(69\) | 0.474371 | + | 0.486430i | 0.00687494 | + | 0.00704971i | ||||
\(70\) | 42.3193 | + | 20.5936i | 0.604561 | + | 0.294194i | ||||
\(71\) | − | 81.2784i | − | 1.14477i | −0.819986 | − | 0.572383i | \(-0.806019\pi\) | ||
0.819986 | − | 0.572383i | \(-0.193981\pi\) | |||||||
\(72\) | 13.4671 | + | 24.7396i | 0.187043 | + | 0.343605i | ||||
\(73\) | 6.02722 | − | 10.4395i | 0.0825647 | − | 0.143006i | −0.821786 | − | 0.569796i | \(-0.807022\pi\) |
0.904351 | + | 0.426790i | \(0.140356\pi\) | |||||||
\(74\) | −28.2260 | − | 16.2963i | −0.381433 | − | 0.220220i | ||||
\(75\) | −14.4390 | − | 4.06381i | −0.192520 | − | 0.0541841i | ||||
\(76\) | −12.9680 | −0.170632 | ||||||||
\(77\) | 57.8855 | − | 118.953i | 0.751760 | − | 1.54485i | ||||
\(78\) | −108.850 | − | 111.617i | −1.39551 | − | 1.43099i | ||||
\(79\) | −43.6564 | − | 75.6150i | −0.552612 | − | 0.957152i | −0.998085 | − | 0.0618570i | \(-0.980298\pi\) |
0.445473 | − | 0.895295i | \(-0.353036\pi\) | |||||||
\(80\) | −20.8232 | − | 12.0223i | −0.260290 | − | 0.150278i | ||||
\(81\) | 43.9689 | − | 68.0274i | 0.542826 | − | 0.839845i | ||||
\(82\) | −7.22782 | − | 12.5190i | −0.0881441 | − | 0.152670i | ||||
\(83\) | 34.0479i | 0.410216i | 0.978739 | + | 0.205108i | \(0.0657545\pi\) | ||||
−0.978739 | + | 0.205108i | \(0.934245\pi\) | |||||||
\(84\) | −21.4084 | + | 103.671i | −0.254861 | + | 1.23418i | ||||
\(85\) | 56.2571 | 0.661848 | ||||||||
\(86\) | −3.88250 | + | 2.24156i | −0.0451454 | + | 0.0260647i | ||||
\(87\) | 34.1951 | − | 8.70410i | 0.393047 | − | 0.100047i | ||||
\(88\) | 29.5737 | − | 51.2231i | 0.336064 | − | 0.582080i | ||||
\(89\) | 14.2548 | − | 8.23003i | 0.160167 | − | 0.0924722i | −0.417774 | − | 0.908551i | \(-0.637190\pi\) |
0.577941 | + | 0.816079i | \(0.303856\pi\) | |||||||
\(90\) | 1.51867 | − | 60.4917i | 0.0168741 | − | 0.672130i | ||||
\(91\) | −8.54770 | − | 120.684i | −0.0939308 | − | 1.32619i | ||||
\(92\) | 1.14166i | 0.0124094i | ||||||||
\(93\) | 153.241 | + | 43.1291i | 1.64775 | + | 0.463754i | ||||
\(94\) | −0.199364 | + | 0.345309i | −0.00212090 | + | 0.00367350i | ||||
\(95\) | 4.98177 | + | 2.87622i | 0.0524396 | + | 0.0302760i | ||||
\(96\) | 36.4534 | − | 129.522i | 0.379723 | − | 1.34918i | ||||
\(97\) | 48.3801 | 0.498763 | 0.249382 | − | 0.968405i | \(-0.419773\pi\) | ||||
0.249382 | + | 0.968405i | \(0.419773\pi\) | |||||||
\(98\) | −115.938 | + | 90.9155i | −1.18304 | + | 0.927709i | ||||
\(99\) | −170.033 | − | 4.26874i | −1.71751 | − | 0.0431186i | ||||
\(100\) | −12.6022 | − | 21.8277i | −0.126022 | − | 0.218277i | ||||
\(101\) | −2.00405 | − | 1.15704i | −0.0198421 | − | 0.0114558i | 0.490046 | − | 0.871696i | \(-0.336980\pi\) |
−0.509888 | + | 0.860241i | \(0.670313\pi\) | |||||||
\(102\) | 55.9818 | + | 219.931i | 0.548841 | + | 2.15619i | ||||
\(103\) | 51.9063 | + | 89.9043i | 0.503944 | + | 0.872857i | 0.999990 | + | 0.00456054i | \(0.00145167\pi\) |
−0.496045 | + | 0.868297i | \(0.665215\pi\) | |||||||
\(104\) | − | 54.0932i | − | 0.520127i | ||||||
\(105\) | 31.2177 | − | 35.0778i | 0.297312 | − | 0.334074i | ||||
\(106\) | −98.5107 | −0.929346 | ||||||||
\(107\) | 72.0244 | − | 41.5833i | 0.673126 | − | 0.388629i | −0.124134 | − | 0.992265i | \(-0.539615\pi\) |
0.797260 | + | 0.603636i | \(0.206282\pi\) | |||||||
\(108\) | 132.699 | − | 30.2527i | 1.22869 | − | 0.280118i | ||||
\(109\) | 13.0273 | − | 22.5640i | 0.119517 | − | 0.207009i | −0.800059 | − | 0.599921i | \(-0.795199\pi\) |
0.919576 | + | 0.392911i | \(0.128532\pi\) | |||||||
\(110\) | −110.040 | + | 63.5315i | −1.00036 | + | 0.577559i | ||||
\(111\) | −23.2811 | + | 22.7039i | −0.209739 | + | 0.204540i | ||||
\(112\) | 62.3650 | − | 42.1471i | 0.556830 | − | 0.376313i | ||||
\(113\) | − | 78.0189i | − | 0.690433i | −0.938523 | − | 0.345216i | \(-0.887806\pi\) | ||
0.938523 | − | 0.345216i | \(-0.112194\pi\) | |||||||
\(114\) | −6.28690 | + | 22.3378i | −0.0551483 | + | 0.195946i | ||||
\(115\) | 0.253213 | − | 0.438578i | 0.00220185 | − | 0.00381372i | ||||
\(116\) | 51.3466 | + | 29.6450i | 0.442643 | + | 0.255560i | ||||
\(117\) | −136.623 | + | 74.3712i | −1.16771 | + | 0.635651i | ||||
\(118\) | −123.747 | −1.04870 | ||||||||
\(119\) | −77.0608 | + | 158.358i | −0.647570 | + | 1.33074i | ||||
\(120\) | 15.0307 | − | 14.6581i | 0.125256 | − | 0.122151i | ||||
\(121\) | 118.078 | + | 204.517i | 0.975849 | + | 1.69022i | ||||
\(122\) | −15.6502 | − | 9.03567i | −0.128281 | − | 0.0740629i | ||||
\(123\) | −13.9772 | + | 3.55780i | −0.113636 | + | 0.0289252i | ||||
\(124\) | 133.747 | + | 231.656i | 1.07860 | + | 1.86820i | ||||
\(125\) | 11.1803i | 0.0894427i | ||||||||
\(126\) | 168.198 | + | 87.1363i | 1.33490 | + | 0.691558i | ||||
\(127\) | 44.9179 | 0.353684 | 0.176842 | − | 0.984239i | \(-0.443412\pi\) | ||||
0.176842 | + | 0.984239i | \(0.443412\pi\) | |||||||
\(128\) | 83.7970 | − | 48.3802i | 0.654664 | − | 0.377970i | ||||
\(129\) | 1.10338 | + | 4.33475i | 0.00855332 | + | 0.0336027i | ||||
\(130\) | −58.1028 | + | 100.637i | −0.446944 | + | 0.774131i | ||||
\(131\) | −27.3345 | + | 15.7816i | −0.208661 | + | 0.120470i | −0.600689 | − | 0.799483i | \(-0.705107\pi\) |
0.392028 | + | 0.919953i | \(0.371774\pi\) | |||||||
\(132\) | −199.536 | − | 204.609i | −1.51164 | − | 1.55007i | ||||
\(133\) | −14.9203 | + | 10.0833i | −0.112183 | + | 0.0758145i | ||||
\(134\) | 289.000i | 2.15672i | ||||||||
\(135\) | −57.6871 | − | 17.8099i | −0.427312 | − | 0.131925i | ||||
\(136\) | −39.3703 | + | 68.1914i | −0.289487 | + | 0.501407i | ||||
\(137\) | −105.015 | − | 60.6306i | −0.766535 | − | 0.442559i | 0.0651022 | − | 0.997879i | \(-0.479263\pi\) |
−0.831637 | + | 0.555319i | \(0.812596\pi\) | |||||||
\(138\) | 1.96655 | + | 0.553478i | 0.0142503 | + | 0.00401071i | ||||
\(139\) | 269.674 | 1.94010 | 0.970049 | − | 0.242910i | \(-0.0781021\pi\) | ||||
0.970049 | + | 0.242910i | \(0.0781021\pi\) | |||||||
\(140\) | 78.7051 | − | 5.57448i | 0.562179 | − | 0.0398177i | ||||
\(141\) | 0.277753 | + | 0.284814i | 0.00196988 | + | 0.00201996i | ||||
\(142\) | −122.194 | − | 211.647i | −0.860523 | − | 1.49047i | ||||
\(143\) | 282.876 | + | 163.318i | 1.97815 | + | 1.14209i | ||||
\(144\) | −82.5708 | − | 50.4769i | −0.573409 | − | 0.350534i | ||||
\(145\) | −13.1501 | − | 22.7767i | −0.0906905 | − | 0.157080i | ||||
\(146\) | − | 36.2454i | − | 0.248256i | ||||||
\(147\) | 55.9785 | + | 135.924i | 0.380806 | + | 0.924655i | ||||
\(148\) | −54.6412 | −0.369197 | ||||||||
\(149\) | 82.9520 | − | 47.8924i | 0.556725 | − | 0.321425i | −0.195105 | − | 0.980782i | \(-0.562505\pi\) |
0.751830 | + | 0.659357i | \(0.229171\pi\) | |||||||
\(150\) | −43.7083 | + | 11.1256i | −0.291389 | + | 0.0741709i | ||||
\(151\) | −115.680 | + | 200.364i | −0.766095 | + | 1.32691i | 0.173571 | + | 0.984821i | \(0.444469\pi\) |
−0.939666 | + | 0.342093i | \(0.888864\pi\) | |||||||
\(152\) | −6.97276 | + | 4.02573i | −0.0458734 | + | 0.0264850i | ||||
\(153\) | 226.359 | + | 5.68282i | 1.47947 | + | 0.0371426i | ||||
\(154\) | −28.1026 | − | 396.776i | −0.182484 | − | 2.57647i | ||||
\(155\) | − | 118.657i | − | 0.765527i | ||||||
\(156\) | −251.600 | − | 70.8119i | −1.61282 | − | 0.453923i | ||||
\(157\) | −45.7767 | + | 79.2876i | −0.291571 | + | 0.505017i | −0.974182 | − | 0.225766i | \(-0.927511\pi\) |
0.682610 | + | 0.730783i | \(0.260845\pi\) | |||||||
\(158\) | −227.360 | − | 131.266i | −1.43899 | − | 0.830799i | ||||
\(159\) | −26.6282 | + | 94.6119i | −0.167473 | + | 0.595043i | ||||
\(160\) | −100.290 | −0.626815 | ||||||||
\(161\) | 0.887703 | + | 1.31353i | 0.00551368 | + | 0.00815859i | ||||
\(162\) | 12.2212 | − | 243.244i | 0.0754393 | − | 1.50151i | ||||
\(163\) | −96.9595 | − | 167.939i | −0.594844 | − | 1.03030i | −0.993569 | − | 0.113229i | \(-0.963881\pi\) |
0.398725 | − | 0.917070i | \(-0.369453\pi\) | |||||||
\(164\) | −20.9879 | − | 12.1174i | −0.127975 | − | 0.0738864i | ||||
\(165\) | 31.2725 | + | 122.858i | 0.189530 | + | 0.744592i | ||||
\(166\) | 51.1877 | + | 88.6598i | 0.308360 | + | 0.534095i | ||||
\(167\) | 117.515i | 0.703681i | 0.936060 | + | 0.351840i | \(0.114444\pi\) | ||||
−0.936060 | + | 0.351840i | \(0.885556\pi\) | |||||||
\(168\) | 20.6721 | + | 62.3887i | 0.123048 | + | 0.371361i | ||||
\(169\) | 129.726 | 0.767610 | ||||||||
\(170\) | 146.492 | − | 84.5771i | 0.861716 | − | 0.497512i | ||||
\(171\) | 19.7544 | + | 12.0762i | 0.115523 | + | 0.0706209i | ||||
\(172\) | −3.75796 | + | 6.50897i | −0.0218486 | + | 0.0378429i | ||||
\(173\) | 77.1460 | − | 44.5403i | 0.445931 | − | 0.257458i | −0.260179 | − | 0.965560i | \(-0.583782\pi\) |
0.706110 | + | 0.708102i | \(0.250448\pi\) | |||||||
\(174\) | 75.9572 | − | 74.0742i | 0.436535 | − | 0.425714i | ||||
\(175\) | −31.4715 | − | 15.3148i | −0.179837 | − | 0.0875131i | ||||
\(176\) | 203.217i | 1.15464i | ||||||||
\(177\) | −33.4498 | + | 118.850i | −0.188982 | + | 0.671467i | ||||
\(178\) | 24.7461 | − | 42.8615i | 0.139023 | − | 0.240795i | ||||
\(179\) | −190.279 | − | 109.858i | −1.06301 | − | 0.613731i | −0.136749 | − | 0.990606i | \(-0.543666\pi\) |
−0.926264 | + | 0.376874i | \(0.876999\pi\) | |||||||
\(180\) | −48.5020 | − | 89.1000i | −0.269455 | − | 0.495000i | ||||
\(181\) | −154.815 | −0.855330 | −0.427665 | − | 0.903937i | \(-0.640664\pi\) | ||||
−0.427665 | + | 0.903937i | \(0.640664\pi\) | |||||||
\(182\) | −203.694 | − | 301.406i | −1.11920 | − | 1.65608i | ||||
\(183\) | −12.9084 | + | 12.5884i | −0.0705379 | + | 0.0687893i | ||||
\(184\) | 0.354411 | + | 0.613859i | 0.00192615 | + | 0.00333619i | ||||
\(185\) | 20.9908 | + | 12.1191i | 0.113464 | + | 0.0655084i | ||||
\(186\) | 463.875 | − | 118.076i | 2.49395 | − | 0.634817i | ||||
\(187\) | −237.734 | − | 411.767i | −1.27130 | − | 2.20196i | ||||
\(188\) | 0.668465i | 0.00355566i | ||||||||
\(189\) | 129.153 | − | 137.987i | 0.683348 | − | 0.730093i | ||||
\(190\) | 17.2965 | 0.0910342 | ||||||||
\(191\) | 110.734 | − | 63.9324i | 0.579760 | − | 0.334724i | −0.181278 | − | 0.983432i | \(-0.558023\pi\) |
0.761038 | + | 0.648707i | \(0.224690\pi\) | |||||||
\(192\) | −67.9693 | − | 267.025i | −0.354007 | − | 1.39076i | ||||
\(193\) | 173.100 | − | 299.819i | 0.896894 | − | 1.55347i | 0.0654500 | − | 0.997856i | \(-0.479152\pi\) |
0.831443 | − | 0.555609i | \(-0.187515\pi\) | |||||||
\(194\) | 125.980 | − | 72.7347i | 0.649383 | − | 0.374921i | ||||
\(195\) | 80.9484 | + | 83.0062i | 0.415120 | + | 0.425673i | ||||
\(196\) | −92.1184 | + | 229.183i | −0.469992 | + | 1.16930i | ||||
\(197\) | − | 233.189i | − | 1.18370i | −0.806048 | − | 0.591851i | \(-0.798397\pi\) | ||
0.806048 | − | 0.591851i | \(-0.201603\pi\) | |||||||
\(198\) | −449.180 | + | 244.513i | −2.26858 | + | 1.23491i | ||||
\(199\) | −164.523 | + | 284.961i | −0.826747 | + | 1.43197i | 0.0738305 | + | 0.997271i | \(0.476478\pi\) |
−0.900577 | + | 0.434696i | \(0.856856\pi\) | |||||||
\(200\) | −13.5521 | − | 7.82432i | −0.0677606 | − | 0.0391216i | ||||
\(201\) | 277.563 | + | 78.1190i | 1.38091 | + | 0.388652i | ||||
\(202\) | −6.95797 | −0.0344454 | ||||||||
\(203\) | 82.1270 | − | 5.81684i | 0.404567 | − | 0.0286544i | ||||
\(204\) | 265.635 | + | 272.388i | 1.30213 | + | 1.33523i | ||||
\(205\) | 5.37511 | + | 9.30996i | 0.0262200 | + | 0.0454144i | ||||
\(206\) | 270.325 | + | 156.072i | 1.31226 | + | 0.757631i | ||||
\(207\) | 1.06315 | − | 1.73911i | 0.00513597 | − | 0.00840149i | ||||
\(208\) | 92.9261 | + | 160.953i | 0.446760 | + | 0.773812i | ||||
\(209\) | − | 48.6179i | − | 0.232622i | ||||||
\(210\) | 28.5540 | − | 138.274i | 0.135972 | − | 0.658450i | ||||
\(211\) | 38.0500 | 0.180332 | 0.0901659 | − | 0.995927i | \(-0.471260\pi\) | ||||
0.0901659 | + | 0.995927i | \(0.471260\pi\) | |||||||
\(212\) | −143.026 | + | 82.5761i | −0.674651 | + | 0.389510i | ||||
\(213\) | −236.300 | + | 60.1485i | −1.10939 | + | 0.282387i | ||||
\(214\) | 125.033 | − | 216.563i | 0.584266 | − | 1.01198i | ||||
\(215\) | 2.88729 | − | 1.66698i | 0.0134293 | − | 0.00775340i | ||||
\(216\) | 61.9592 | − | 57.4609i | 0.286848 | − | 0.266023i | ||||
\(217\) | 334.006 | + | 162.535i | 1.53920 | + | 0.749011i | ||||
\(218\) | − | 78.3414i | − | 0.359364i | ||||||
\(219\) | −34.8109 | − | 9.79740i | −0.158954 | − | 0.0447370i | ||||
\(220\) | −106.510 | + | 184.481i | −0.484136 | + | 0.838548i | ||||
\(221\) | −376.582 | − | 217.420i | −1.70399 | − | 0.983799i | ||||
\(222\) | −26.4900 | + | 94.1211i | −0.119325 | + | 0.423969i | ||||
\(223\) | −22.8272 | −0.102364 | −0.0511820 | − | 0.998689i | \(-0.516299\pi\) | ||||
−0.0511820 | + | 0.998689i | \(0.516299\pi\) | |||||||
\(224\) | 137.377 | − | 282.307i | 0.613292 | − | 1.26030i | ||||
\(225\) | −1.12938 | + | 44.9858i | −0.00501948 | + | 0.199937i | ||||
\(226\) | −117.294 | − | 203.159i | −0.518999 | − | 0.898933i | ||||
\(227\) | −185.074 | − | 106.852i | −0.815303 | − | 0.470715i | 0.0334912 | − | 0.999439i | \(-0.489337\pi\) |
−0.848794 | + | 0.528724i | \(0.822671\pi\) | |||||||
\(228\) | 9.59673 | + | 37.7019i | 0.0420909 | + | 0.165359i | ||||
\(229\) | −110.289 | − | 191.026i | −0.481612 | − | 0.834176i | 0.518166 | − | 0.855280i | \(-0.326615\pi\) |
−0.999777 | + | 0.0211043i | \(0.993282\pi\) | |||||||
\(230\) | − | 1.52273i | − | 0.00662055i | ||||||
\(231\) | −388.669 | − | 80.2612i | −1.68255 | − | 0.347451i | ||||
\(232\) | 36.8113 | 0.158669 | ||||||||
\(233\) | −214.785 | + | 124.006i | −0.921824 | + | 0.532215i | −0.884217 | − | 0.467077i | \(-0.845307\pi\) |
−0.0376076 | + | 0.999293i | \(0.511974\pi\) | |||||||
\(234\) | −243.951 | + | 399.059i | −1.04253 | + | 1.70538i | ||||
\(235\) | 0.148261 | − | 0.256796i | 0.000630898 | − | 0.00109275i | ||||
\(236\) | −179.666 | + | 103.730i | −0.761298 | + | 0.439536i | ||||
\(237\) | −187.528 | + | 182.879i | −0.791258 | + | 0.771642i | ||||
\(238\) | 37.4119 | + | 528.213i | 0.157193 | + | 2.21938i | ||||
\(239\) | 439.067i | 1.83710i | 0.395307 | + | 0.918549i | \(0.370638\pi\) | ||||
−0.395307 | + | 0.918549i | \(0.629362\pi\) | |||||||
\(240\) | −19.5425 | + | 69.4359i | −0.0814270 | + | 0.289316i | ||||
\(241\) | 32.2173 | − | 55.8020i | 0.133682 | − | 0.231543i | −0.791411 | − | 0.611284i | \(-0.790653\pi\) |
0.925093 | + | 0.379740i | \(0.123987\pi\) | |||||||
\(242\) | 614.942 | + | 355.037i | 2.54108 | + | 1.46709i | ||||
\(243\) | −230.314 | − | 77.4883i | −0.947794 | − | 0.318882i | ||||
\(244\) | −30.2964 | −0.124166 | ||||||||
\(245\) | 86.2192 | − | 67.6110i | 0.351915 | − | 0.275963i | ||||
\(246\) | −31.0475 | + | 30.2778i | −0.126209 | + | 0.123080i | ||||
\(247\) | −22.2318 | − | 38.5066i | −0.0900072 | − | 0.155897i | ||||
\(248\) | 143.828 | + | 83.0392i | 0.579952 | + | 0.334836i | ||||
\(249\) | 98.9873 | − | 25.1965i | 0.397539 | − | 0.101191i | ||||
\(250\) | 16.8086 | + | 29.1133i | 0.0672342 | + | 0.116453i | ||||
\(251\) | 279.901i | 1.11515i | 0.830128 | + | 0.557573i | \(0.188267\pi\) | ||||
−0.830128 | + | 0.557573i | \(0.811733\pi\) | |||||||
\(252\) | 317.245 | − | 14.4794i | 1.25891 | − | 0.0574578i | ||||
\(253\) | −4.28016 | −0.0169176 | ||||||||
\(254\) | 116.965 | − | 67.5297i | 0.460492 | − | 0.265865i | ||||
\(255\) | −41.6319 | − | 163.556i | −0.163262 | − | 0.641396i | ||||
\(256\) | −38.2236 | + | 66.2052i | −0.149311 | + | 0.258614i | ||||
\(257\) | 138.330 | − | 79.8651i | 0.538251 | − | 0.310759i | −0.206119 | − | 0.978527i | \(-0.566083\pi\) |
0.744370 | + | 0.667768i | \(0.232750\pi\) | |||||||
\(258\) | 9.39005 | + | 9.62875i | 0.0363955 | + | 0.0373207i | ||||
\(259\) | −62.8671 | + | 42.4864i | −0.242730 | + | 0.164040i | ||||
\(260\) | 194.818i | 0.749298i | ||||||||
\(261\) | −50.6107 | − | 92.9738i | −0.193911 | − | 0.356221i | ||||
\(262\) | −47.4522 | + | 82.1896i | −0.181115 | + | 0.313701i | ||||
\(263\) | 300.143 | + | 173.287i | 1.14123 | + | 0.658888i | 0.946734 | − | 0.322016i | \(-0.104361\pi\) |
0.194493 | + | 0.980904i | \(0.437694\pi\) | |||||||
\(264\) | −170.806 | − | 48.0727i | −0.646992 | − | 0.182094i | ||||
\(265\) | 73.2593 | 0.276450 | ||||||||
\(266\) | −23.6927 | + | 48.6879i | −0.0890702 | + | 0.183037i | ||||
\(267\) | −34.4761 | − | 35.3525i | −0.129124 | − | 0.132406i | ||||
\(268\) | 242.253 | + | 419.595i | 0.903930 | + | 1.56565i | ||||
\(269\) | 193.292 | + | 111.597i | 0.718559 | + | 0.414860i | 0.814222 | − | 0.580554i | \(-0.197164\pi\) |
−0.0956633 | + | 0.995414i | \(0.530497\pi\) | |||||||
\(270\) | −176.991 | + | 40.3505i | −0.655523 | + | 0.149446i | ||||
\(271\) | −190.698 | − | 330.299i | −0.703684 | − | 1.21882i | −0.967164 | − | 0.254152i | \(-0.918204\pi\) |
0.263480 | − | 0.964665i | \(-0.415130\pi\) | |||||||
\(272\) | − | 270.535i | − | 0.994614i | ||||||
\(273\) | −344.537 | + | 114.160i | −1.26204 | + | 0.418169i | ||||
\(274\) | −364.609 | −1.33069 | ||||||||
\(275\) | 81.8331 | − | 47.2464i | 0.297575 | − | 0.171805i | ||||
\(276\) | 3.31915 | − | 0.844864i | 0.0120259 | − | 0.00306110i | ||||
\(277\) | −81.5686 | + | 141.281i | −0.294471 | + | 0.510039i | −0.974862 | − | 0.222810i | \(-0.928477\pi\) |
0.680390 | + | 0.732850i | \(0.261810\pi\) | |||||||
\(278\) | 702.222 | − | 405.428i | 2.52598 | − | 1.45837i | ||||
\(279\) | 11.9861 | − | 477.433i | 0.0429610 | − | 1.71123i | ||||
\(280\) | 40.5883 | − | 27.4301i | 0.144958 | − | 0.0979647i | ||||
\(281\) | − | 339.779i | − | 1.20918i | −0.796537 | − | 0.604589i | \(-0.793337\pi\) | ||
0.796537 | − | 0.604589i | \(-0.206663\pi\) | |||||||
\(282\) | 1.15145 | + | 0.324072i | 0.00408316 | + | 0.00114919i | ||||
\(283\) | 230.515 | − | 399.264i | 0.814542 | − | 1.41083i | −0.0951141 | − | 0.995466i | \(-0.530322\pi\) |
0.909656 | − | 0.415362i | \(-0.136345\pi\) | |||||||
\(284\) | −354.824 | − | 204.857i | −1.24938 | − | 0.721329i | ||||
\(285\) | 4.67537 | − | 16.6119i | 0.0164048 | − | 0.0582875i | ||||
\(286\) | 982.134 | 3.43403 | ||||||||
\(287\) | −33.5694 | + | 2.37763i | −0.116966 | + | 0.00828443i | ||||
\(288\) | −403.534 | − | 10.1308i | −1.40116 | − | 0.0351766i | ||||
\(289\) | 171.986 | + | 297.888i | 0.595107 | + | 1.03076i | ||||
\(290\) | −68.4850 | − | 39.5398i | −0.236155 | − | 0.136344i | ||||
\(291\) | −35.8027 | − | 140.655i | −0.123033 | − | 0.483351i | ||||
\(292\) | −30.3825 | − | 52.6241i | −0.104050 | − | 0.180219i | ||||
\(293\) | − | 130.253i | − | 0.444548i | −0.974984 | − | 0.222274i | \(-0.928652\pi\) | ||
0.974984 | − | 0.222274i | \(-0.0713480\pi\) | |||||||
\(294\) | 350.115 | + | 269.785i | 1.19087 | + | 0.917634i | ||||
\(295\) | 92.0269 | 0.311956 | ||||||||
\(296\) | −29.3799 | + | 16.9625i | −0.0992565 | + | 0.0573058i | ||||
\(297\) | 113.419 | + | 497.496i | 0.381883 | + | 1.67507i | ||||
\(298\) | 144.003 | − | 249.421i | 0.483232 | − | 0.836982i | ||||
\(299\) | −3.38999 | + | 1.95721i | −0.0113378 | + | 0.00654586i | ||||
\(300\) | −54.1334 | + | 52.7914i | −0.180445 | + | 0.175971i | ||||
\(301\) | 0.737375 | + | 10.4109i | 0.00244975 | + | 0.0345876i | ||||
\(302\) | 695.656i | 2.30350i | ||||||||
\(303\) | −1.88079 | + | 6.68260i | −0.00620724 | + | 0.0220548i | ||||
\(304\) | 13.8315 | − | 23.9569i | 0.0454983 | − | 0.0788054i | ||||
\(305\) | 11.6386 | + | 6.71955i | 0.0381593 | + | 0.0220313i | ||||
\(306\) | 597.976 | − | 325.511i | 1.95417 | − | 1.06376i | ||||
\(307\) | 54.0187 | 0.175957 | 0.0879783 | − | 0.996122i | \(-0.471959\pi\) | ||||
0.0879783 | + | 0.996122i | \(0.471959\pi\) | |||||||
\(308\) | −373.397 | − | 552.516i | −1.21233 | − | 1.79388i | ||||
\(309\) | 222.966 | − | 217.439i | 0.721573 | − | 0.703685i | ||||
\(310\) | −178.389 | − | 308.978i | −0.575447 | − | 0.996704i | ||||
\(311\) | 156.629 | + | 90.4299i | 0.503631 | + | 0.290772i | 0.730212 | − | 0.683221i | \(-0.239421\pi\) |
−0.226581 | + | 0.973992i | \(0.572755\pi\) | |||||||
\(312\) | −157.265 | + | 40.0306i | −0.504054 | + | 0.128303i | ||||
\(313\) | −190.732 | − | 330.358i | −0.609369 | − | 1.05546i | −0.991345 | − | 0.131285i | \(-0.958090\pi\) |
0.381976 | − | 0.924172i | \(-0.375244\pi\) | |||||||
\(314\) | 275.283i | 0.876699i | ||||||||
\(315\) | −125.084 | − | 64.8005i | −0.397091 | − | 0.205716i | ||||
\(316\) | −440.133 | −1.39283 | ||||||||
\(317\) | −408.341 | + | 235.756i | −1.28814 | + | 0.743709i | −0.978323 | − | 0.207086i | \(-0.933602\pi\) |
−0.309820 | + | 0.950795i | \(0.600269\pi\) | |||||||
\(318\) | 72.9008 | + | 286.399i | 0.229248 | + | 0.900627i | ||||
\(319\) | −111.141 | + | 192.501i | −0.348403 | + | 0.603453i | ||||
\(320\) | −177.860 | + | 102.688i | −0.555814 | + | 0.320899i | ||||
\(321\) | −174.195 | − | 178.623i | −0.542664 | − | 0.556459i | ||||
\(322\) | 4.28632 | + | 2.08582i | 0.0133116 | + | 0.00647772i | ||||
\(323\) | 64.7232i | 0.200381i | ||||||||
\(324\) | −186.155 | − | 363.407i | −0.574552 | − | 1.12163i | ||||
\(325\) | 43.2092 | − | 74.8406i | 0.132951 | − | 0.230279i | ||||
\(326\) | −504.959 | − | 291.538i | −1.54895 | − | 0.894289i | ||||
\(327\) | −75.2409 | − | 21.1763i | −0.230094 | − | 0.0647592i | ||||
\(328\) | −15.0466 | −0.0458738 | ||||||||
\(329\) | 0.519766 | + | 0.769098i | 0.00157984 | + | 0.00233768i | ||||
\(330\) | 266.137 | + | 272.903i | 0.806477 | + | 0.826978i | ||||
\(331\) | 82.0009 | + | 142.030i | 0.247737 | + | 0.429093i | 0.962898 | − | 0.269867i | \(-0.0869798\pi\) |
−0.715161 | + | 0.698960i | \(0.753646\pi\) | |||||||
\(332\) | 148.637 | + | 85.8158i | 0.447703 | + | 0.258481i | ||||
\(333\) | 83.2356 | + | 50.8833i | 0.249957 | + | 0.152803i | ||||
\(334\) | 176.672 | + | 306.005i | 0.528958 | + | 0.916182i | ||||
\(335\) | − | 214.921i | − | 0.641554i | ||||||
\(336\) | −168.686 | − | 150.123i | −0.502041 | − | 0.446795i | ||||
\(337\) | −8.24664 | −0.0244707 | −0.0122354 | − | 0.999925i | \(-0.503895\pi\) | ||||
−0.0122354 | + | 0.999925i | \(0.503895\pi\) | |||||||
\(338\) | 337.803 | − | 195.031i | 0.999417 | − | 0.577013i | ||||
\(339\) | −226.824 | + | 57.7363i | −0.669097 | + | 0.170314i | ||||
\(340\) | 141.793 | − | 245.592i | 0.417037 | − | 0.722330i | ||||
\(341\) | −868.493 | + | 501.424i | −2.54690 | + | 1.47045i | ||||
\(342\) | 69.5951 | + | 1.74721i | 0.203495 | + | 0.00510880i | ||||
\(343\) | 72.2154 | + | 335.312i | 0.210541 | + | 0.977585i | ||||
\(344\) | 4.66640i | 0.0135651i | ||||||||
\(345\) | −1.46246 | − | 0.411604i | −0.00423902 | − | 0.00119306i | ||||
\(346\) | 133.924 | − | 231.963i | 0.387064 | − | 0.670414i | ||||
\(347\) | 69.2183 | + | 39.9632i | 0.199476 | + | 0.115168i | 0.596411 | − | 0.802679i | \(-0.296593\pi\) |
−0.396935 | + | 0.917847i | \(0.629926\pi\) | |||||||
\(348\) | 48.1886 | − | 171.218i | 0.138473 | − | 0.492005i | ||||
\(349\) | −590.802 | −1.69284 | −0.846421 | − | 0.532514i | \(-0.821248\pi\) | ||||
−0.846421 | + | 0.532514i | \(0.821248\pi\) | |||||||
\(350\) | −104.975 | + | 7.43512i | −0.299929 | + | 0.0212432i | ||||
\(351\) | 317.324 | + | 342.165i | 0.904056 | + | 0.974830i | ||||
\(352\) | 423.812 | + | 734.063i | 1.20401 | + | 2.08541i | ||||
\(353\) | −79.1141 | − | 45.6765i | −0.224119 | − | 0.129395i | 0.383737 | − | 0.923442i | \(-0.374637\pi\) |
−0.607856 | + | 0.794047i | \(0.707970\pi\) | |||||||
\(354\) | 91.5766 | + | 359.769i | 0.258691 | + | 1.01630i | ||||
\(355\) | 90.8721 | + | 157.395i | 0.255978 | + | 0.443366i | ||||
\(356\) | − | 82.9732i | − | 0.233071i | ||||||
\(357\) | 517.421 | + | 106.849i | 1.44936 | + | 0.299296i | ||||
\(358\) | −660.643 | −1.84537 | ||||||||
\(359\) | −7.94558 | + | 4.58738i | −0.0221325 | + | 0.0127782i | −0.511025 | − | 0.859566i | \(-0.670734\pi\) |
0.488893 | + | 0.872344i | \(0.337401\pi\) | |||||||
\(360\) | −53.7387 | − | 32.8513i | −0.149274 | − | 0.0912537i | ||||
\(361\) | 177.191 | − | 306.904i | 0.490834 | − | 0.850149i | ||||
\(362\) | −403.133 | + | 232.749i | −1.11363 | + | 0.642953i | ||||
\(363\) | 507.209 | − | 494.635i | 1.39727 | − | 1.36263i | ||||
\(364\) | −548.392 | − | 266.860i | −1.50657 | − | 0.733133i | ||||
\(365\) | 26.9546i | 0.0738481i | ||||||||
\(366\) | −14.6877 | + | 52.1865i | −0.0401303 | + | 0.142586i | ||||
\(367\) | 5.39389 | − | 9.34249i | 0.0146972 | − | 0.0254564i | −0.858583 | − | 0.512674i | \(-0.828655\pi\) |
0.873280 | + | 0.487218i | \(0.161988\pi\) | |||||||
\(368\) | −2.10908 | − | 1.21768i | −0.00573120 | − | 0.00330891i | ||||
\(369\) | 20.6871 | + | 38.0030i | 0.0560627 | + | 0.102989i | ||||
\(370\) | 72.8793 | 0.196971 | ||||||||
\(371\) | −100.350 | + | 206.218i | −0.270486 | + | 0.555843i | ||||
\(372\) | 574.516 | − | 560.274i | 1.54440 | − | 1.50611i | ||||
\(373\) | −172.725 | − | 299.168i | −0.463069 | − | 0.802060i | 0.536043 | − | 0.844191i | \(-0.319919\pi\) |
−0.999112 | + | 0.0421312i | \(0.986585\pi\) | |||||||
\(374\) | −1238.10 | − | 714.819i | −3.31044 | − | 1.91128i | ||||
\(375\) | 32.5045 | − | 8.27378i | 0.0866787 | − | 0.0220634i | ||||
\(376\) | 0.207515 | + | 0.359426i | 0.000551900 | + | 0.000955920i | ||||
\(377\) | 203.288i | 0.539225i | ||||||||
\(378\) | 128.859 | − | 553.484i | 0.340898 | − | 1.46424i | ||||
\(379\) | 494.429 | 1.30456 | 0.652281 | − | 0.757977i | \(-0.273812\pi\) | ||||
0.652281 | + | 0.757977i | \(0.273812\pi\) | |||||||
\(380\) | 25.1125 | − | 14.4987i | 0.0660855 | − | 0.0381545i | ||||
\(381\) | −33.2406 | − | 130.590i | −0.0872456 | − | 0.342755i | ||||
\(382\) | 192.232 | − | 332.956i | 0.503226 | − | 0.871612i | ||||
\(383\) | −331.493 | + | 191.387i | −0.865516 | + | 0.499706i | −0.865856 | − | 0.500294i | \(-0.833225\pi\) |
0.000339247 | 1.00000i | \(0.499892\pi\) | ||||||||
\(384\) | −202.668 | − | 207.820i | −0.527781 | − | 0.541197i | ||||
\(385\) | 20.8990 | + | 295.070i | 0.0542832 | + | 0.766416i | ||||
\(386\) | − | 1040.96i | − | 2.69678i | ||||||
\(387\) | 11.7859 | − | 6.41569i | 0.0304544 | − | 0.0165780i | ||||
\(388\) | 121.939 | − | 211.205i | 0.314276 | − | 0.544342i | ||||
\(389\) | 587.895 | + | 339.421i | 1.51130 | + | 0.872548i | 0.999913 | + | 0.0131966i | \(0.00420074\pi\) |
0.511385 | + | 0.859352i | \(0.329133\pi\) | |||||||
\(390\) | 335.579 | + | 94.4475i | 0.860459 | + | 0.242173i | ||||
\(391\) | 5.69801 | 0.0145729 | ||||||||
\(392\) | 21.6153 | + | 151.826i | 0.0551410 | + | 0.387310i | ||||
\(393\) | 66.1101 | + | 67.7907i | 0.168219 | + | 0.172495i | ||||
\(394\) | −350.577 | − | 607.218i | −0.889790 | − | 1.54116i | ||||
\(395\) | 169.080 | + | 97.6186i | 0.428052 | + | 0.247136i | ||||
\(396\) | −447.194 | + | 731.527i | −1.12928 | + | 1.84729i | ||||
\(397\) | 85.6381 | + | 148.330i | 0.215713 | + | 0.373626i | 0.953493 | − | 0.301415i | \(-0.0974590\pi\) |
−0.737780 | + | 0.675041i | \(0.764126\pi\) | |||||||
\(398\) | 989.375i | 2.48587i | ||||||||
\(399\) | 40.3567 | + | 35.9157i | 0.101144 | + | 0.0900143i | ||||
\(400\) | 53.7652 | 0.134413 | ||||||||
\(401\) | 468.635 | − | 270.567i | 1.16867 | − | 0.674730i | 0.215300 | − | 0.976548i | \(-0.430927\pi\) |
0.953365 | + | 0.301818i | \(0.0975936\pi\) | |||||||
\(402\) | 840.209 | − | 213.869i | 2.09007 | − | 0.532012i | ||||
\(403\) | −458.578 | + | 794.281i | −1.13791 | + | 1.97092i | ||||
\(404\) | −10.1022 | + | 5.83249i | −0.0250054 | + | 0.0144369i | ||||
\(405\) | −9.08850 | + | 180.893i | −0.0224407 | + | 0.446650i | ||||
\(406\) | 205.111 | − | 138.617i | 0.505200 | − | 0.341421i | ||||
\(407\) | − | 204.853i | − | 0.503324i | ||||||
\(408\) | 227.387 | + | 63.9974i | 0.557322 | + | 0.156856i | ||||
\(409\) | 88.3409 | − | 153.011i | 0.215992 | − | 0.374110i | −0.737587 | − | 0.675253i | \(-0.764035\pi\) |
0.953579 | + | 0.301143i | \(0.0973680\pi\) | |||||||
\(410\) | 27.9932 | + | 16.1619i | 0.0682762 | + | 0.0394193i | ||||
\(411\) | −98.5565 | + | 350.179i | −0.239797 | + | 0.852016i | ||||
\(412\) | 523.307 | 1.27016 | ||||||||
\(413\) | −126.058 | + | 259.046i | −0.305226 | + | 0.627231i | ||||
\(414\) | 0.153818 | − | 6.12692i | 0.000371542 | − | 0.0147993i | ||||
\(415\) | −38.0667 | − | 65.9335i | −0.0917271 | − | 0.158876i | ||||
\(416\) | 671.338 | + | 387.597i | 1.61379 | + | 0.931724i | ||||
\(417\) | −199.566 | − | 784.020i | −0.478577 | − | 1.88014i | ||||
\(418\) | −73.0923 | − | 126.600i | −0.174862 | − | 0.302870i | ||||
\(419\) | − | 459.984i | − | 1.09781i | −0.835883 | − | 0.548907i | \(-0.815044\pi\) | ||
0.835883 | − | 0.548907i | \(-0.184956\pi\) | |||||||
\(420\) | −74.4508 | − | 224.694i | −0.177264 | − | 0.534985i | ||||
\(421\) | −467.559 | −1.11059 | −0.555296 | − | 0.831653i | \(-0.687395\pi\) | ||||
−0.555296 | + | 0.831653i | \(0.687395\pi\) | |||||||
\(422\) | 99.0811 | − | 57.2045i | 0.234789 | − | 0.135556i | ||||
\(423\) | 0.622492 | − | 1.01828i | 0.00147161 | − | 0.00240728i | ||||
\(424\) | −51.2689 | + | 88.8004i | −0.120917 | + | 0.209435i | ||||
\(425\) | −108.941 | + | 62.8973i | −0.256333 | + | 0.147994i | ||||
\(426\) | −524.892 | + | 511.879i | −1.23214 | + | 1.20159i | ||||
\(427\) | −34.8574 | + | 23.5571i | −0.0816332 | + | 0.0551688i | ||||
\(428\) | − | 419.233i | − | 0.979517i | ||||||
\(429\) | 265.478 | − | 943.263i | 0.618830 | − | 2.19875i | ||||
\(430\) | 5.01229 | − | 8.68153i | 0.0116565 | − | 0.0201896i | ||||
\(431\) | 523.781 | + | 302.405i | 1.21527 | + | 0.701635i | 0.963902 | − | 0.266257i | \(-0.0857869\pi\) |
0.251366 | + | 0.967892i | \(0.419120\pi\) | |||||||
\(432\) | −85.6463 | + | 277.412i | −0.198255 | + | 0.642158i | ||||
\(433\) | −548.815 | −1.26747 | −0.633736 | − | 0.773549i | \(-0.718479\pi\) | ||||
−0.633736 | + | 0.773549i | \(0.718479\pi\) | |||||||
\(434\) | 1114.10 | − | 78.9087i | 2.56705 | − | 0.181817i | ||||
\(435\) | −56.4870 | + | 55.0867i | −0.129855 | + | 0.126636i | ||||
\(436\) | −65.6693 | − | 113.743i | −0.150618 | − | 0.260877i | ||||
\(437\) | 0.504580 | + | 0.291319i | 0.00115464 | + | 0.000666634i | ||||
\(438\) | −105.376 | + | 26.8227i | −0.240584 | + | 0.0612389i | ||||
\(439\) | 341.530 | + | 591.547i | 0.777972 | + | 1.34749i | 0.933109 | + | 0.359594i | \(0.117085\pi\) |
−0.155137 | + | 0.987893i | \(0.549582\pi\) | |||||||
\(440\) | 132.257i | 0.300585i | ||||||||
\(441\) | 353.746 | − | 263.334i | 0.802145 | − | 0.597129i | ||||
\(442\) | −1307.48 | −2.95809 | ||||||||
\(443\) | −599.024 | + | 345.846i | −1.35220 | + | 0.780692i | −0.988557 | − | 0.150847i | \(-0.951800\pi\) |
−0.363641 | + | 0.931539i | \(0.618466\pi\) | |||||||
\(444\) | 40.4361 | + | 158.858i | 0.0910723 | + | 0.357788i | ||||
\(445\) | −18.4029 | + | 31.8748i | −0.0413548 | + | 0.0716287i | ||||
\(446\) | −59.4413 | + | 34.3185i | −0.133276 | + | 0.0769472i | ||||
\(447\) | −200.624 | − | 205.724i | −0.448824 | − | 0.460233i | ||||
\(448\) | −45.4231 | − | 641.321i | −0.101391 | − | 1.43152i | ||||
\(449\) | − | 236.486i | − | 0.526694i | −0.964701 | − | 0.263347i | \(-0.915174\pi\) | ||
0.964701 | − | 0.263347i | \(-0.0848264\pi\) | |||||||
\(450\) | 64.6909 | + | 118.840i | 0.143758 | + | 0.264088i | ||||
\(451\) | 45.4287 | − | 78.6849i | 0.100729 | − | 0.174468i | ||||
\(452\) | −340.594 | − | 196.642i | −0.753526 | − | 0.435049i | ||||
\(453\) | 668.124 | + | 188.041i | 1.47489 | + | 0.415102i | ||||
\(454\) | −642.569 | −1.41535 | ||||||||
\(455\) | 151.481 | + | 224.146i | 0.332925 | + | 0.492629i | ||||
\(456\) | 16.8640 | + | 17.2927i | 0.0369825 | + | 0.0379226i | ||||
\(457\) | −179.329 | − | 310.607i | −0.392405 | − | 0.679665i | 0.600362 | − | 0.799729i | \(-0.295023\pi\) |
−0.992766 | + | 0.120064i | \(0.961690\pi\) | |||||||
\(458\) | −574.379 | − | 331.618i | −1.25410 | − | 0.724056i | ||||
\(459\) | −150.991 | − | 662.298i | −0.328956 | − | 1.44291i | ||||
\(460\) | −1.27642 | − | 2.21082i | −0.00277482 | − | 0.00480613i | ||||
\(461\) | 391.999i | 0.850322i | 0.905118 | + | 0.425161i | \(0.139783\pi\) | ||||
−0.905118 | + | 0.425161i | \(0.860217\pi\) | |||||||
\(462\) | −1132.75 | + | 375.329i | −2.45183 | + | 0.812400i | ||||
\(463\) | 205.210 | 0.443219 | 0.221609 | − | 0.975136i | \(-0.428869\pi\) | ||||
0.221609 | + | 0.975136i | \(0.428869\pi\) | |||||||
\(464\) | −109.531 | + | 63.2377i | −0.236058 | + | 0.136288i | ||||
\(465\) | −344.970 | + | 87.8094i | −0.741870 | + | 0.188837i | ||||
\(466\) | −372.863 | + | 645.817i | −0.800134 | + | 1.38587i | ||||
\(467\) | 714.814 | − | 412.698i | 1.53065 | − | 0.883722i | 0.531319 | − | 0.847172i | \(-0.321697\pi\) |
0.999332 | − | 0.0365500i | \(-0.0116368\pi\) | |||||||
\(468\) | −19.6795 | + | 783.878i | −0.0420503 | + | 1.67495i | ||||
\(469\) | 604.980 | + | 294.398i | 1.28994 | + | 0.627713i | ||||
\(470\) | − | 0.891585i | − | 0.00189699i | ||||||
\(471\) | 264.388 | + | 74.4112i | 0.561334 | + | 0.157986i | ||||
\(472\) | −64.4030 | + | 111.549i | −0.136447 | + | 0.236333i | ||||
\(473\) | −24.4025 | − | 14.0888i | −0.0515910 | − | 0.0297861i | ||||
\(474\) | −213.376 | + | 758.142i | −0.450161 | + | 1.59946i | ||||
\(475\) | −12.8629 | −0.0270797 | ||||||||
\(476\) | 497.090 | + | 735.543i | 1.04431 | + | 1.54526i | ||||
\(477\) | 294.770 | + | 7.40030i | 0.617967 | + | 0.0155143i | ||||
\(478\) | 660.094 | + | 1143.32i | 1.38095 | + | 2.39187i | ||||
\(479\) | 381.095 | + | 220.025i | 0.795605 | + | 0.459343i | 0.841932 | − | 0.539584i | \(-0.181418\pi\) |
−0.0463272 | + | 0.998926i | \(0.514752\pi\) | |||||||
\(480\) | 74.2179 | + | 291.574i | 0.154621 | + | 0.607445i | ||||
\(481\) | −93.6743 | − | 162.249i | −0.194749 | − | 0.337315i | ||||
\(482\) | − | 193.742i | − | 0.401955i | ||||||
\(483\) | 3.16190 | − | 3.55286i | 0.00654637 | − | 0.00735583i | ||||
\(484\) | 1190.43 | 2.45957 | ||||||||
\(485\) | −93.6876 | + | 54.0905i | −0.193170 | + | 0.111527i | ||||
\(486\) | −716.227 | + | 144.478i | −1.47372 | + | 0.297279i | ||||
\(487\) | 74.0085 | − | 128.187i | 0.151968 | − | 0.263217i | −0.779983 | − | 0.625801i | \(-0.784772\pi\) |
0.931951 | + | 0.362584i | \(0.118106\pi\) | |||||||
\(488\) | −16.2900 | + | 9.40506i | −0.0333812 | + | 0.0192727i | ||||
\(489\) | −416.494 | + | 406.169i | −0.851727 | + | 0.830612i | ||||
\(490\) | 122.866 | − | 305.679i | 0.250746 | − | 0.623835i | ||||
\(491\) | − | 584.207i | − | 1.18983i | −0.803788 | − | 0.594916i | \(-0.797185\pi\) | ||
0.803788 | − | 0.594916i | \(-0.202815\pi\) | |||||||
\(492\) | −19.6971 | + | 69.9852i | −0.0400347 | + | 0.142246i | ||||
\(493\) | 147.957 | − | 256.270i | 0.300117 | − | 0.519817i | ||||
\(494\) | −115.782 | − | 66.8467i | −0.234376 | − | 0.135317i | ||||
\(495\) | 334.041 | − | 181.837i | 0.674830 | − | 0.367347i | ||||
\(496\) | −570.609 | −1.15042 | ||||||||
\(497\) | −567.527 | + | 40.1965i | −1.14191 | + | 0.0808782i | ||||
\(498\) | 219.880 | − | 214.429i | 0.441525 | − | 0.430580i | ||||
\(499\) | 188.889 | + | 327.165i | 0.378535 | + | 0.655642i | 0.990849 | − | 0.134972i | \(-0.0430946\pi\) |
−0.612314 | + | 0.790615i | \(0.709761\pi\) | |||||||
\(500\) | 48.8081 | + | 28.1794i | 0.0976162 | + | 0.0563588i | ||||
\(501\) | 341.650 | − | 86.9644i | 0.681936 | − | 0.173582i | ||||
\(502\) | 420.805 | + | 728.855i | 0.838256 | + | 1.45190i | ||||
\(503\) | − | 357.039i | − | 0.709820i | −0.934900 | − | 0.354910i | \(-0.884512\pi\) | ||
0.934900 | − | 0.354910i | \(-0.115488\pi\) | |||||||
\(504\) | 166.084 | − | 106.269i | 0.329532 | − | 0.210852i | ||||
\(505\) | 5.17443 | 0.0102464 | ||||||||
\(506\) | −11.1454 | + | 6.43480i | −0.0220265 | + | 0.0127170i | ||||
\(507\) | −96.0012 | − | 377.152i | −0.189351 | − | 0.743889i | ||||
\(508\) | 113.213 | − | 196.090i | 0.222860 | − | 0.386005i | ||||
\(509\) | −389.039 | + | 224.612i | −0.764321 | + | 0.441281i | −0.830845 | − | 0.556504i | \(-0.812142\pi\) |
0.0665240 | + | 0.997785i | \(0.478809\pi\) | |||||||
\(510\) | −354.299 | − | 363.305i | −0.694703 | − | 0.712363i | ||||
\(511\) | −75.8744 | − | 36.9223i | −0.148482 | − | 0.0722549i | ||||
\(512\) | 616.903i | 1.20489i | ||||||||
\(513\) | 20.4901 | − | 66.3685i | 0.0399418 | − | 0.129373i | ||||
\(514\) | 240.139 | − | 415.933i | 0.467196 | − | 0.809208i | ||||
\(515\) | −201.032 | − | 116.066i | −0.390354 | − | 0.225371i | ||||
\(516\) | 21.7045 | + | 6.10865i | 0.0420630 | + | 0.0118385i | ||||
\(517\) | −2.50611 | −0.00484742 | ||||||||
\(518\) | −99.8298 | + | 205.148i | −0.192722 | + | 0.396038i | ||||
\(519\) | −186.582 | − | 191.325i | −0.359503 | − | 0.368642i | ||||
\(520\) | 60.4781 | + | 104.751i | 0.116304 | + | 0.201444i | ||||
\(521\) | 404.636 | + | 233.617i | 0.776653 | + | 0.448401i | 0.835243 | − | 0.549881i | \(-0.185327\pi\) |
−0.0585900 | + | 0.998282i | \(0.518660\pi\) | |||||||
\(522\) | −271.566 | − | 166.013i | −0.520241 | − | 0.318032i | ||||
\(523\) | −101.842 | − | 176.396i | −0.194727 | − | 0.337276i | 0.752084 | − | 0.659067i | \(-0.229049\pi\) |
−0.946811 | + | 0.321791i | \(0.895715\pi\) | |||||||
\(524\) | 159.106i | 0.303638i | ||||||||
\(525\) | −21.2347 | + | 102.830i | −0.0404471 | + | 0.195867i | ||||
\(526\) | 1042.08 | 1.98115 | ||||||||
\(527\) | 1156.19 | − | 667.528i | 2.19391 | − | 1.26666i | ||||
\(528\) | 590.811 | − | 150.387i | 1.11896 | − | 0.284823i | ||||
\(529\) | −264.474 | + | 458.083i | −0.499952 | + | 0.865941i | ||||
\(530\) | 190.765 | − | 110.138i | 0.359934 | − | 0.207808i | ||||
\(531\) | 370.285 | + | 9.29612i | 0.697334 | + | 0.0175068i | ||||
\(532\) | 6.41338 | + | 90.5494i | 0.0120552 | + | 0.170206i | ||||
\(533\) | − | 83.0938i | − | 0.155898i | ||||||
\(534\) | −142.924 | − | 40.2254i | −0.267647 | − | 0.0753284i | ||||
\(535\) | −92.9831 | + | 161.052i | −0.173800 | + | 0.301031i | ||||
\(536\) | 260.514 | + | 150.408i | 0.486033 | + | 0.280611i | ||||
\(537\) | −178.577 | + | 634.496i | −0.332545 | + | 1.18156i | ||||
\(538\) | 671.103 | 1.24740 | ||||||||
\(539\) | −859.220 | − | 345.357i | −1.59410 | − | 0.640737i | ||||
\(540\) | −223.147 | + | 206.946i | −0.413235 | + | 0.383234i | ||||
\(541\) | 394.603 | + | 683.473i | 0.729396 | + | 1.26335i | 0.957139 | + | 0.289629i | \(0.0935320\pi\) |
−0.227743 | + | 0.973721i | \(0.573135\pi\) | |||||||
\(542\) | −993.146 | − | 573.393i | −1.83237 | − | 1.05792i | ||||
\(543\) | 114.567 | + | 450.092i | 0.210990 | + | 0.828898i | ||||
\(544\) | −564.204 | − | 977.231i | −1.03714 | − | 1.79638i | ||||
\(545\) | 58.2601i | 0.106899i | ||||||||
\(546\) | −725.535 | + | 815.247i | −1.32882 | + | 1.49313i | ||||
\(547\) | 156.388 | 0.285902 | 0.142951 | − | 0.989730i | \(-0.454341\pi\) | ||||
0.142951 | + | 0.989730i | \(0.454341\pi\) | |||||||
\(548\) | −529.370 | + | 305.632i | −0.966003 | + | 0.557722i | ||||
\(549\) | 46.1509 | + | 28.2128i | 0.0840636 | + | 0.0513895i | ||||
\(550\) | 142.061 | − | 246.056i | 0.258292 | − | 0.447375i | ||||
\(551\) | 26.2043 | − | 15.1291i | 0.0475578 | − | 0.0274575i | ||||
\(552\) | 1.52239 | − | 1.48465i | 0.00275796 | − | 0.00268959i | ||||
\(553\) | −506.392 | + | 342.227i | −0.915718 | + | 0.618855i | ||||
\(554\) | 490.522i | 0.885418i | ||||||||
\(555\) | 19.6998 | − | 69.9949i | 0.0354952 | − | 0.126117i | ||||
\(556\) | 679.696 | − | 1177.27i | 1.22248 | − | 2.11739i | ||||
\(557\) | −741.277 | − | 427.976i | −1.33084 | − | 0.768360i | −0.345410 | − | 0.938452i | \(-0.612260\pi\) |
−0.985428 | + | 0.170093i | \(0.945593\pi\) | |||||||
\(558\) | −686.563 | − | 1261.24i | −1.23040 | − | 2.26029i | ||||
\(559\) | −25.7699 | −0.0460999 | ||||||||
\(560\) | −73.6474 | + | 151.344i | −0.131513 | + | 0.270257i | ||||
\(561\) | −1021.20 | + | 995.882i | −1.82032 | + | 1.77519i | ||||
\(562\) | −510.825 | − | 884.775i | −0.908941 | − | 1.57433i | ||||
\(563\) | −117.501 | − | 67.8393i | −0.208705 | − | 0.120496i | 0.392004 | − | 0.919963i | \(-0.371782\pi\) |
−0.600710 | + | 0.799467i | \(0.705115\pi\) | |||||||
\(564\) | 1.94342 | − | 0.494684i | 0.00344579 | − | 0.000877099i | ||||
\(565\) | 87.2278 | + | 151.083i | 0.154385 | + | 0.267403i | ||||
\(566\) | − | 1386.23i | − | 2.44917i | ||||||
\(567\) | −496.747 | − | 273.370i | −0.876097 | − | 0.482135i | ||||
\(568\) | −254.379 | −0.447851 | ||||||||
\(569\) | 110.739 | − | 63.9351i | 0.194620 | − | 0.112364i | −0.399523 | − | 0.916723i | \(-0.630824\pi\) |
0.594144 | + | 0.804359i | \(0.297491\pi\) | |||||||
\(570\) | −12.7999 | − | 50.2860i | −0.0224560 | − | 0.0882210i | ||||
\(571\) | 439.755 | − | 761.678i | 0.770148 | − | 1.33394i | −0.167333 | − | 0.985900i | \(-0.553515\pi\) |
0.937481 | − | 0.348036i | \(-0.113151\pi\) | |||||||
\(572\) | 1425.94 | − | 823.269i | 2.49291 | − | 1.43928i | ||||
\(573\) | −267.817 | − | 274.625i | −0.467394 | − | 0.479275i | ||||
\(574\) | −83.8391 | + | 56.6596i | −0.146061 | + | 0.0987101i | ||||
\(575\) | 1.13240i | 0.00196940i | ||||||||
\(576\) | −726.022 | + | 395.214i | −1.26045 | + | 0.686135i | ||||
\(577\) | −352.510 | + | 610.566i | −0.610937 | + | 1.05817i | 0.380146 | + | 0.924926i | \(0.375874\pi\) |
−0.991083 | + | 0.133247i | \(0.957460\pi\) | |||||||
\(578\) | 895.693 | + | 517.128i | 1.54964 | + | 0.894686i | ||||
\(579\) | −999.761 | − | 281.379i | −1.72670 | − | 0.485974i | ||||
\(580\) | −132.576 | −0.228580 | ||||||||
\(581\) | 237.740 | − | 16.8385i | 0.409191 | − | 0.0289819i | ||||
\(582\) | −304.690 | − | 312.436i | −0.523523 | − | 0.536831i | ||||
\(583\) | −309.583 | − | 536.213i | −0.531016 | − | 0.919748i | ||||
\(584\) | −32.6726 | − | 18.8636i | −0.0559463 | − | 0.0323006i | ||||
\(585\) | 181.419 | − | 296.768i | 0.310118 | − | 0.507296i | ||||
\(586\) | −195.822 | − | 339.174i | −0.334168 | − | 0.578795i | ||||
\(587\) | 45.3083i | 0.0771863i | 0.999255 | + | 0.0385931i | \(0.0122876\pi\) | ||||
−0.999255 | + | 0.0385931i | \(0.987712\pi\) | |||||||
\(588\) | 734.472 | + | 98.2132i | 1.24910 | + | 0.167029i | ||||
\(589\) | 136.513 | 0.231771 | ||||||||
\(590\) | 239.635 | − | 138.354i | 0.406162 | − | 0.234498i | ||||
\(591\) | −677.949 | + | 172.567i | −1.14712 | + | 0.291991i | ||||
\(592\) | 58.2794 | − | 100.943i | 0.0984449 | − | 0.170512i | ||||
\(593\) | 749.171 | − | 432.534i | 1.26336 | − | 0.729399i | 0.289634 | − | 0.957137i | \(-0.406466\pi\) |
0.973722 | + | 0.227738i | \(0.0731330\pi\) | |||||||
\(594\) | 1043.28 | + | 1124.95i | 1.75636 | + | 1.89386i | ||||
\(595\) | −27.8221 | − | 392.816i | −0.0467598 | − | 0.660194i | ||||
\(596\) | − | 482.840i | − | 0.810134i | ||||||
\(597\) | 950.218 | + | 267.435i | 1.59166 | + | 0.447966i | ||||
\(598\) | −5.88496 | + | 10.1930i | −0.00984106 | + | 0.0170452i | ||||
\(599\) | 584.928 | + | 337.708i | 0.976507 | + | 0.563787i | 0.901214 | − | 0.433375i | \(-0.142677\pi\) |
0.0752933 | + | 0.997161i | \(0.476011\pi\) | |||||||
\(600\) | −12.7186 | + | 45.1902i | −0.0211977 | + | 0.0753170i | ||||
\(601\) | −246.707 | −0.410495 | −0.205247 | − | 0.978710i | \(-0.565800\pi\) | ||||
−0.205247 | + | 0.978710i | \(0.565800\pi\) | |||||||
\(602\) | 17.5718 | + | 26.0010i | 0.0291891 | + | 0.0431911i | ||||
\(603\) | 21.7102 | − | 864.766i | 0.0360037 | − | 1.43411i | ||||
\(604\) | 583.131 | + | 1010.01i | 0.965448 | + | 1.67220i | ||||
\(605\) | −457.313 | − | 264.030i | −0.755889 | − | 0.436413i | ||||
\(606\) | 5.14911 | + | 20.2289i | 0.00849688 | + | 0.0333810i | ||||
\(607\) | 39.7254 | + | 68.8064i | 0.0654454 | + | 0.113355i | 0.896891 | − | 0.442251i | \(-0.145820\pi\) |
−0.831446 | + | 0.555605i | \(0.812487\pi\) | |||||||
\(608\) | − | 115.383i | − | 0.189775i | ||||||
\(609\) | −77.6877 | − | 234.463i | −0.127566 | − | 0.384996i | ||||
\(610\) | 40.4087 | 0.0662439 | ||||||||
\(611\) | −1.98490 | + | 1.14598i | −0.00324861 | + | 0.00187559i | ||||
\(612\) | 595.333 | − | 973.854i | 0.972767 | − | 1.59127i | ||||
\(613\) | 57.6568 | − | 99.8645i | 0.0940567 | − | 0.162911i | −0.815158 | − | 0.579239i | \(-0.803350\pi\) |
0.909215 | + | 0.416328i | \(0.136683\pi\) | |||||||
\(614\) | 140.663 | − | 81.2118i | 0.229093 | − | 0.132267i | ||||
\(615\) | 23.0890 | − | 22.5167i | 0.0375431 | − | 0.0366124i | ||||
\(616\) | −372.291 | − | 181.166i | −0.604369 | − | 0.294100i | ||||
\(617\) | 872.699i | 1.41442i | 0.707002 | + | 0.707211i | \(0.250047\pi\) | ||||
−0.707002 | + | 0.707211i | \(0.749953\pi\) | |||||||
\(618\) | 253.699 | − | 901.411i | 0.410516 | − | 1.45859i | ||||
\(619\) | 269.292 | − | 466.428i | 0.435044 | − | 0.753518i | −0.562255 | − | 0.826964i | \(-0.690066\pi\) |
0.997299 | + | 0.0734455i | \(0.0233995\pi\) | |||||||
\(620\) | −517.999 | − | 299.067i | −0.835482 | − | 0.482366i | ||||
\(621\) | −5.84286 | − | 1.80388i | −0.00940879 | − | 0.00290481i | ||||
\(622\) | 543.811 | 0.874293 | ||||||||
\(623\) | −64.5160 | − | 95.4642i | −0.103557 | − | 0.153233i | ||||
\(624\) | 399.169 | − | 389.273i | 0.639694 | − | 0.623836i | ||||
\(625\) | −12.5000 | − | 21.6506i | −0.0200000 | − | 0.0346410i | ||||
\(626\) | −993.323 | − | 573.495i | −1.58678 | − | 0.916127i | ||||
\(627\) | −141.347 | + | 35.9787i | −0.225433 | + | 0.0573823i | ||||
\(628\) | 230.755 | + | 399.679i | 0.367444 | + | 0.636432i | ||||
\(629\) | 272.713i | 0.433566i | ||||||||
\(630\) | −423.135 | + | 19.3123i | −0.671643 | + | 0.0306544i | ||||
\(631\) | 253.785 | 0.402196 | 0.201098 | − | 0.979571i | \(-0.435549\pi\) | ||||
0.201098 | + | 0.979571i | \(0.435549\pi\) | |||||||
\(632\) | −236.654 | + | 136.633i | −0.374453 | + | 0.216191i | ||||
\(633\) | −28.1581 | − | 110.623i | −0.0444836 | − | 0.174759i | ||||
\(634\) | −708.872 | + | 1227.80i | −1.11809 | + | 1.93660i | ||||
\(635\) | −86.9831 | + | 50.2197i | −0.136981 | + | 0.0790862i | ||||
\(636\) | 345.916 | + | 354.710i | 0.543894 | + | 0.557720i | ||||
\(637\) | −838.446 | + | 119.369i | −1.31624 | + | 0.187392i | ||||
\(638\) | 668.357i | 1.04758i | ||||||||
\(639\) | 349.738 | + | 642.483i | 0.547322 | + | 1.00545i | ||||
\(640\) | −108.181 | + | 187.376i | −0.169033 | + | 0.292775i | ||||
\(641\) | 142.301 | + | 82.1573i | 0.221998 | + | 0.128171i | 0.606875 | − | 0.794797i | \(-0.292423\pi\) |
−0.384877 | + | 0.922968i | \(0.625756\pi\) | |||||||
\(642\) | −722.142 | − | 203.244i | −1.12483 | − | 0.316580i | ||||
\(643\) | 1008.97 | 1.56917 | 0.784583 | − | 0.620024i | \(-0.212877\pi\) | ||||
0.784583 | + | 0.620024i | \(0.212877\pi\) | |||||||
\(644\) | 7.97167 | − | 0.564612i | 0.0123784 | − | 0.000876727i | ||||
\(645\) | −6.98309 | − | 7.16060i | −0.0108265 | − | 0.0111017i | ||||
\(646\) | 97.3050 | + | 168.537i | 0.150627 | + | 0.260894i | ||||
\(647\) | 784.083 | + | 452.690i | 1.21187 | + | 0.699676i | 0.963167 | − | 0.268903i | \(-0.0866610\pi\) |
0.248707 | + | 0.968579i | \(0.419994\pi\) | |||||||
\(648\) | −212.907 | − | 137.611i | −0.328561 | − | 0.212362i | ||||
\(649\) | −388.892 | − | 673.580i | −0.599217 | − | 1.03787i | ||||
\(650\) | − | 259.844i | − | 0.399759i | ||||||
\(651\) | 225.364 | − | 1091.34i | 0.346181 | − | 1.67640i | ||||
\(652\) | −977.523 | −1.49927 | ||||||||
\(653\) | −469.305 | + | 270.953i | −0.718690 | + | 0.414936i | −0.814270 | − | 0.580486i | \(-0.802863\pi\) |
0.0955804 | + | 0.995422i | \(0.469529\pi\) | |||||||
\(654\) | −227.761 | + | 57.9750i | −0.348259 | + | 0.0886467i | ||||
\(655\) | 35.2887 | − | 61.1219i | 0.0538759 | − | 0.0933158i | ||||
\(656\) | 44.7707 | − | 25.8484i | 0.0682480 | − | 0.0394030i | ||||
\(657\) | −2.72282 | + | 108.456i | −0.00414432 | + | 0.165077i | ||||
\(658\) | 2.50972 | + | 1.22129i | 0.00381416 | + | 0.00185606i | ||||
\(659\) | 739.606i | 1.12232i | 0.827709 | + | 0.561158i | \(0.189644\pi\) | ||||
−0.827709 | + | 0.561158i | \(0.810356\pi\) | |||||||
\(660\) | 615.160 | + | 173.134i | 0.932060 | + | 0.262325i | ||||
\(661\) | −84.2027 | + | 145.843i | −0.127387 | + | 0.220640i | −0.922663 | − | 0.385606i | \(-0.873992\pi\) |
0.795277 | + | 0.606247i | \(0.207326\pi\) | |||||||
\(662\) | 427.056 | + | 246.561i | 0.645100 | + | 0.372449i | ||||
\(663\) | −353.421 | + | 1255.73i | −0.533063 | + | 1.89401i | ||||
\(664\) | 106.561 | 0.160483 | ||||||||
\(665\) | 17.6195 | − | 36.2077i | 0.0264955 | − | 0.0544476i | ||||
\(666\) | 293.241 | + | 7.36191i | 0.440302 | + | 0.0110539i | ||||
\(667\) | −1.33191 | − | 2.30694i | −0.00199687 | − | 0.00345868i | ||||
\(668\) | 513.014 | + | 296.189i | 0.767985 | + | 0.443397i | ||||
\(669\) | 16.8928 | + | 66.3653i | 0.0252508 | + | 0.0992008i | ||||
\(670\) | −323.112 | − | 559.647i | −0.482257 | − | 0.835294i | ||||
\(671\) | − | 113.583i | − | 0.169274i | ||||||
\(672\) | −922.414 | − | 190.481i | −1.37264 | − | 0.283453i | ||||
\(673\) | 593.902 | 0.882469 | 0.441235 | − | 0.897392i | \(-0.354541\pi\) | ||||
0.441235 | + | 0.897392i | \(0.354541\pi\) | |||||||
\(674\) | −21.4740 | + | 12.3980i | −0.0318605 | + | 0.0183947i | ||||
\(675\) | 131.623 | − | 30.0074i | 0.194997 | − | 0.0444554i | ||||
\(676\) | 326.967 | − | 566.323i | 0.483679 | − | 0.837756i | ||||
\(677\) | 898.560 | − | 518.784i | 1.32727 | − | 0.766298i | 0.342391 | − | 0.939557i | \(-0.388763\pi\) |
0.984876 | + | 0.173259i | \(0.0554298\pi\) | |||||||
\(678\) | −503.842 | + | 491.351i | −0.743129 | + | 0.724707i | ||||
\(679\) | −23.9265 | − | 337.814i | −0.0352378 | − | 0.497517i | ||||
\(680\) | − | 176.069i | − | 0.258925i | ||||||
\(681\) | −173.691 | + | 617.138i | −0.255053 | + | 0.906223i | ||||
\(682\) | −1507.69 | + | 2611.39i | −2.21068 | + | 3.82902i | ||||
\(683\) | 151.000 | + | 87.1801i | 0.221084 | + | 0.127643i | 0.606452 | − | 0.795120i | \(-0.292592\pi\) |
−0.385368 | + | 0.922763i | \(0.625926\pi\) | |||||||
\(684\) | 102.509 | − | 55.8010i | 0.149866 | − | 0.0815805i | ||||
\(685\) | 271.148 | 0.395837 | ||||||||
\(686\) | 692.155 | + | 764.573i | 1.00897 | + | 1.11454i | ||||
\(687\) | −473.752 | + | 462.008i | −0.689596 | + | 0.672501i | ||||
\(688\) | −8.01635 | − | 13.8847i | −0.0116517 | − | 0.0201813i | ||||
\(689\) | −490.394 | − | 283.129i | −0.711747 | − | 0.410928i | ||||
\(690\) | −4.42701 | + | 1.12686i | −0.00641596 | + | 0.00163313i | ||||
\(691\) | 23.0452 | + | 39.9155i | 0.0333505 | + | 0.0577648i | 0.882219 | − | 0.470839i | \(-0.156049\pi\) |
−0.848868 | + | 0.528604i | \(0.822716\pi\) | |||||||
\(692\) | − | 449.045i | − | 0.648908i | ||||||
\(693\) | 54.2839 | + | 1189.37i | 0.0783318 | + | 1.71626i | ||||
\(694\) | 240.323 | 0.346287 | ||||||||
\(695\) | −522.221 | + | 301.504i | −0.751397 | + | 0.433819i | ||||
\(696\) | −27.2414 | − | 107.021i | −0.0391400 | − | 0.153766i | ||||
\(697\) | −60.4776 | + | 104.750i | −0.0867684 | + | 0.150287i | ||||
\(698\) | −1538.43 | + | 888.214i | −2.20406 | + | 1.27251i | ||||
\(699\) | 519.470 | + | 532.675i | 0.743161 | + | 0.762053i | ||||
\(700\) | −146.179 | + | 98.7899i | −0.208828 | + | 0.141128i | ||||
\(701\) | − | 183.013i | − | 0.261074i | −0.991443 | − | 0.130537i | \(-0.958330\pi\) | ||
0.991443 | − | 0.130537i | \(-0.0416702\pi\) | |||||||
\(702\) | 1340.71 | + | 413.923i | 1.90985 | + | 0.589633i | ||||
\(703\) | −13.9428 | + | 24.1497i | −0.0198334 | + | 0.0343524i | ||||
\(704\) | 1503.22 | + | 867.885i | 2.13526 | + | 1.23279i | ||||
\(705\) | −0.856298 | − | 0.241002i | −0.00121461 | − | 0.000341847i | ||||
\(706\) | −274.681 | −0.389066 | ||||||||
\(707\) | −7.08792 | + | 14.5655i | −0.0100253 | + | 0.0206018i | ||||
\(708\) | 434.533 | + | 445.579i | 0.613748 | + | 0.629350i | ||||
\(709\) | −405.233 | − | 701.884i | −0.571556 | − | 0.989963i | −0.996407 | − | 0.0847000i | \(-0.973007\pi\) |
0.424851 | − | 0.905263i | \(-0.360327\pi\) | |||||||
\(710\) | 473.256 | + | 273.235i | 0.666558 | + | 0.384838i | ||||
\(711\) | 670.460 | + | 409.863i | 0.942982 | + | 0.576460i | ||||
\(712\) | −25.7577 | − | 44.6137i | −0.0361766 | − | 0.0626597i | ||||
\(713\) | − | 12.0182i | − | 0.0168558i | ||||||
\(714\) | 1507.98 | − | 499.661i | 2.11202 | − | 0.699805i | ||||
\(715\) | −730.382 | −1.02151 | ||||||||
\(716\) | −959.176 | + | 553.781i | −1.33963 | + | 0.773437i | ||||
\(717\) | 1276.50 | − | 324.922i | 1.78033 | − | 0.453169i | ||||
\(718\) | −13.7934 | + | 23.8908i | −0.0192108 | + | 0.0332741i | ||||
\(719\) | −213.235 | + | 123.111i | −0.296572 | + | 0.171226i | −0.640902 | − | 0.767623i | \(-0.721439\pi\) |
0.344330 | + | 0.938849i | \(0.388106\pi\) | |||||||
\(720\) | 216.333 | + | 5.43110i | 0.300462 | + | 0.00754320i | ||||
\(721\) | 602.087 | − | 406.898i | 0.835072 | − | 0.564353i | ||||
\(722\) | − | 1065.56i | − | 1.47584i | ||||||
\(723\) | −186.074 | − | 52.3700i | −0.257364 | − | 0.0724343i | ||||
\(724\) | −390.201 | + | 675.848i | −0.538952 | + | 0.933492i | ||||
\(725\) | 50.9302 | + | 29.4046i | 0.0702485 | + | 0.0405580i | ||||
\(726\) | 577.121 | − | 2050.55i | 0.794932 | − | 2.82445i | ||||
\(727\) | −323.366 | −0.444796 | −0.222398 | − | 0.974956i | \(-0.571388\pi\) | ||||
−0.222398 | + | 0.974956i | \(0.571388\pi\) | |||||||
\(728\) | −377.706 | + | 26.7520i | −0.518828 | + | 0.0367472i | ||||
\(729\) | −54.8420 | + | 726.934i | −0.0752290 | + | 0.997166i | ||||
\(730\) | 40.5236 | + | 70.1889i | 0.0555117 | + | 0.0961491i | ||||
\(731\) | 32.4862 | + | 18.7559i | 0.0444407 | + | 0.0256579i | ||||
\(732\) | 22.4203 | + | 88.0806i | 0.0306288 | + | 0.120329i | ||||
\(733\) | 324.949 | + | 562.827i | 0.443313 | + | 0.767841i | 0.997933 | − | 0.0642630i | \(-0.0204696\pi\) |
−0.554620 | + | 0.832104i | \(0.687136\pi\) | |||||||
\(734\) | − | 32.4367i | − | 0.0441917i | ||||||
\(735\) | −260.370 | − | 200.630i | −0.354245 | − | 0.272966i | ||||
\(736\) | −10.1579 | −0.0138015 | ||||||||
\(737\) | −1573.09 | + | 908.221i | −2.13444 | + | 1.23232i | ||||
\(738\) | 111.002 | + | 67.8576i | 0.150410 | + | 0.0919480i | ||||
\(739\) | −275.779 | + | 477.663i | −0.373178 | + | 0.646364i | −0.990053 | − | 0.140698i | \(-0.955065\pi\) |
0.616874 | + | 0.787062i | \(0.288399\pi\) | |||||||
\(740\) | 105.812 | − | 61.0907i | 0.142989 | − | 0.0825550i | ||||
\(741\) | −95.4977 | + | 93.1303i | −0.128877 | + | 0.125682i | ||||
\(742\) | 48.7187 | + | 687.852i | 0.0656587 | + | 0.927024i | ||||
\(743\) | − | 235.567i | − | 0.317049i | −0.987355 | − | 0.158524i | \(-0.949326\pi\) | ||
0.987355 | − | 0.158524i | \(-0.0506736\pi\) | |||||||
\(744\) | 134.982 | − | 479.602i | 0.181428 | − | 0.644627i | ||||
\(745\) | −107.091 | + | 185.486i | −0.143746 | + | 0.248975i | ||||
\(746\) | −899.541 | − | 519.350i | −1.20582 | − | 0.696180i | ||||
\(747\) | −146.507 | − | 269.139i | −0.196127 | − | 0.360293i | ||||
\(748\) | −2396.78 | −3.20424 | ||||||||
\(749\) | −325.976 | − | 482.346i | −0.435215 | − | 0.643987i | ||||
\(750\) | 72.2020 | − | 70.4121i | 0.0962693 | − | 0.0938828i | ||||
\(751\) | −457.312 | − | 792.087i | −0.608937 | − | 1.05471i | −0.991416 | − | 0.130746i | \(-0.958263\pi\) |
0.382479 | − | 0.923964i | \(-0.375071\pi\) | |||||||
\(752\) | −1.23491 | − | 0.712974i | −0.00164216 | − | 0.000948103i | ||||
\(753\) | 813.756 | − | 207.135i | 1.08068 | − | 0.275080i | ||||
\(754\) | 305.623 | + | 529.355i | 0.405336 | + | 0.702063i | ||||
\(755\) | − | 517.338i | − | 0.685216i | ||||||
\(756\) | −276.867 | − | 911.610i | −0.366226 | − | 1.20583i | ||||
\(757\) | 669.981 | 0.885048 | 0.442524 | − | 0.896757i | \(-0.354083\pi\) | ||||
0.442524 | + | 0.896757i | \(0.354083\pi\) | |||||||
\(758\) | 1287.48 | − | 743.326i | 1.69852 | − | 0.980641i | ||||
\(759\) | 3.16745 | + | 12.4437i | 0.00417318 | + | 0.0163948i | ||||
\(760\) | 9.00180 | − | 15.5916i | 0.0118445 | − | 0.0205152i | ||||
\(761\) | 811.403 | − | 468.464i | 1.06623 | − | 0.615590i | 0.139083 | − | 0.990281i | \(-0.455585\pi\) |
0.927150 | + | 0.374691i | \(0.122251\pi\) | |||||||
\(762\) | −282.886 | − | 290.077i | −0.371242 | − | 0.380679i | ||||
\(763\) | −163.996 | − | 79.8044i | −0.214936 | − | 0.104593i | ||||
\(764\) | − | 644.551i | − | 0.843653i | ||||||
\(765\) | −444.696 | + | 242.072i | −0.581302 | + | 0.316435i | ||||
\(766\) | −575.465 | + | 996.735i | −0.751260 | + | 1.30122i | ||||
\(767\) | −616.023 | − | 355.661i | −0.803159 | − | 0.463704i | ||||
\(768\) | 220.765 | + | 62.1334i | 0.287454 | + | 0.0809028i | ||||
\(769\) | −313.480 | −0.407646 | −0.203823 | − | 0.979008i | \(-0.565337\pi\) | ||||
−0.203823 | + | 0.979008i | \(0.565337\pi\) | |||||||
\(770\) | 498.030 | + | 736.934i | 0.646792 | + | 0.957057i | ||||
\(771\) | −334.560 | − | 343.065i | −0.433930 | − | 0.444961i | ||||
\(772\) | −872.579 | − | 1511.35i | −1.13028 | − | 1.95771i | ||||
\(773\) | −846.746 | − | 488.869i | −1.09540 | − | 0.632431i | −0.160393 | − | 0.987053i | \(-0.551276\pi\) |
−0.935010 | + | 0.354622i | \(0.884609\pi\) | |||||||
\(774\) | 21.0447 | − | 34.4252i | 0.0271895 | − | 0.0444770i | ||||
\(775\) | 132.662 | + | 229.778i | 0.171177 | + | 0.296487i | ||||
\(776\) | − | 151.416i | − | 0.195124i | ||||||
\(777\) | 170.044 | + | 151.332i | 0.218847 | + | 0.194764i | ||||
\(778\) | 2041.15 | 2.62358 | ||||||||
\(779\) | −10.7110 | + | 6.18400i | −0.0137497 | + | 0.00793839i | ||||
\(780\) | 566.392 | − | 144.171i | 0.726143 | − | 0.184834i | ||||
\(781\) | 768.023 | − | 1330.25i | 0.983384 | − | 1.70327i | ||||
\(782\) | 14.8375 | − | 8.56641i | 0.0189737 | − | 0.0109545i | ||||
\(783\) | −232.849 | + | 215.944i | −0.297380 | + | 0.275790i | ||||
\(784\) | −325.135 | − | 414.620i | −0.414713 | − | 0.528852i | ||||
\(785\) | − | 204.720i | − | 0.260789i | ||||||
\(786\) | 274.065 | + | 77.1347i | 0.348684 | + | 0.0981358i | ||||
\(787\) | 744.063 | − | 1288.76i | 0.945442 | − | 1.63755i | 0.190579 | − | 0.981672i | \(-0.438963\pi\) |
0.754863 | − | 0.655882i | \(-0.227703\pi\) | |||||||
\(788\) | −1017.99 | − | 587.739i | −1.29187 | − | 0.745862i | ||||
\(789\) | 281.683 | − | 1000.84i | 0.357013 | − | 1.26849i | ||||
\(790\) | 587.040 | 0.743089 | ||||||||
\(791\) | −544.768 | + | 38.5845i | −0.688707 | + | 0.0487793i | ||||
\(792\) | −13.3600 | + | 532.158i | −0.0168687 | + | 0.671917i | ||||
\(793\) | −51.9388 | − | 89.9606i | −0.0654965 | − | 0.113443i | ||||
\(794\) | 445.998 | + | 257.497i | 0.561711 | + | 0.324304i | ||||
\(795\) | −54.2141 | − | 212.986i | −0.0681938 | − | 0.267907i | ||||
\(796\) | 829.339 | + | 1436.46i | 1.04188 | + | 1.80459i | ||||
\(797\) | 822.824i | 1.03240i | 0.856468 | + | 0.516201i | \(0.172654\pi\) | ||||
−0.856468 | + | 0.516201i | \(0.827346\pi\) | |||||||
\(798\) | 159.083 | + | 32.8511i | 0.199352 | + | 0.0411668i | ||||
\(799\) | 3.33629 | 0.00417559 | ||||||||
\(800\) | 194.211 | − | 112.128i | 0.242764 | − | 0.140160i | ||||
\(801\) | −77.2667 | + | 126.394i | −0.0964628 | + | 0.157795i | ||||
\(802\) | 813.541 | − | 1409.09i | 1.01439 | − | 1.75698i | ||||
\(803\) | 197.291 | − | 113.906i | 0.245692 | − | 0.141850i | ||||
\(804\) | 1040.61 | − | 1014.81i | 1.29429 | − | 1.26221i | ||||
\(805\) | −3.18760 | − | 1.55116i | −0.00395975 | − | 0.00192691i | ||||
\(806\) | 2757.71i | 3.42148i | ||||||||
\(807\) | 181.404 | − | 644.543i | 0.224788 | − | 0.798690i | ||||
\(808\) | −3.62121 | + | 6.27212i | −0.00448170 | + | 0.00776253i | ||||
\(809\) | −480.375 | − | 277.344i | −0.593788 | − | 0.342824i | 0.172806 | − | 0.984956i | \(-0.444717\pi\) |
−0.766594 | + | 0.642132i | \(0.778050\pi\) | |||||||
\(810\) | 248.289 | + | 484.705i | 0.306530 | + | 0.598401i | ||||
\(811\) | −456.639 | −0.563056 | −0.281528 | − | 0.959553i | \(-0.590841\pi\) | ||||
−0.281528 | + | 0.959553i | \(0.590841\pi\) | |||||||
\(812\) | 181.603 | − | 373.189i | 0.223649 | − | 0.459592i | ||||
\(813\) | −819.155 | + | 798.848i | −1.00757 | + | 0.982592i | ||||
\(814\) | −307.977 | − | 533.431i | −0.378350 | − | 0.655321i | ||||
\(815\) | 375.523 | + | 216.808i | 0.460764 | + | 0.266022i | ||||
\(816\) | −786.525 | + | 200.204i | −0.963879 | + | 0.245348i | ||||
\(817\) | 1.91784 | + | 3.32180i | 0.00234742 | + | 0.00406585i | ||||
\(818\) | − | 531.248i | − | 0.649447i | ||||||
\(819\) | 586.864 | + | 917.188i | 0.716562 | + | 1.11989i | ||||
\(820\) | 54.1905 | 0.0660860 | ||||||||
\(821\) | −139.471 | + | 80.5235i | −0.169879 | + | 0.0980797i | −0.582529 | − | 0.812810i | \(-0.697937\pi\) |
0.412650 | + | 0.910890i | \(0.364603\pi\) | |||||||
\(822\) | 269.821 | + | 1060.03i | 0.328250 | + | 1.28957i | ||||
\(823\) | −463.413 | + | 802.655i | −0.563078 | + | 0.975280i | 0.434147 | + | 0.900842i | \(0.357050\pi\) |
−0.997226 | + | 0.0744381i | \(0.976284\pi\) | |||||||
\(824\) | 281.376 | − | 162.452i | 0.341476 | − | 0.197151i | ||||
\(825\) | −197.918 | − | 202.949i | −0.239901 | − | 0.245999i | ||||
\(826\) | 61.1995 | + | 864.066i | 0.0740914 | + | 1.04608i | ||||
\(827\) | 754.560i | 0.912407i | 0.889876 | + | 0.456203i | \(0.150791\pi\) | ||||
−0.889876 | + | 0.456203i | \(0.849209\pi\) | |||||||
\(828\) | −4.91254 | − | 9.02451i | −0.00593302 | − | 0.0108992i | ||||
\(829\) | 314.333 | − | 544.441i | 0.379172 | − | 0.656744i | −0.611770 | − | 0.791035i | \(-0.709542\pi\) |
0.990942 | + | 0.134291i | \(0.0428757\pi\) | |||||||
\(830\) | −198.249 | − | 114.459i | −0.238855 | − | 0.137903i | ||||
\(831\) | 471.108 | + | 132.592i | 0.566917 | + | 0.159557i | ||||
\(832\) | 1587.45 | 1.90799 | ||||||||
\(833\) | 1143.85 | + | 459.761i | 1.37317 | + | 0.551934i | ||||
\(834\) | −1698.36 | − | 1741.54i | −2.03641 | − | 2.08817i | ||||
\(835\) | −131.385 | − | 227.566i | −0.157348 | − | 0.272534i | ||||
\(836\) | −212.243 | − | 122.539i | −0.253879 | − | 0.146577i | ||||
\(837\) | −1396.91 | + | 318.468i | −1.66895 | + | 0.380487i | ||||
\(838\) | −691.542 | − | 1197.79i | −0.825229 | − | 1.42934i | ||||
\(839\) | − | 235.184i | − | 0.280315i | −0.990129 | − | 0.140157i | \(-0.955239\pi\) | ||
0.990129 | − | 0.140157i | \(-0.0447608\pi\) | |||||||
\(840\) | −109.784 | − | 97.7030i | −0.130695 | − | 0.116313i | ||||
\(841\) | 702.660 | 0.835505 | ||||||||
\(842\) | −1217.51 | + | 702.930i | −1.44597 | + | 0.834834i | ||||
\(843\) | −987.838 | + | 251.447i | −1.17181 | + | 0.298276i | ||||
\(844\) | 95.9028 | − | 166.108i | 0.113629 | − | 0.196811i | ||||
\(845\) | −251.213 | + | 145.038i | −0.297294 | + | 0.171643i | ||||
\(846\) | 0.0900636 | − | 3.58743i | 0.000106458 | − | 0.00424046i | ||||
\(847\) | 1369.64 | − | 925.623i | 1.61705 | − | 1.09282i | ||||
\(848\) | − | 352.297i | − | 0.415445i | ||||||
\(849\) | −1331.37 | − | 374.708i | −1.56816 | − | 0.441353i | ||||
\(850\) | −189.120 | + | 327.566i | −0.222494 | + | 0.385371i | ||||
\(851\) | 2.12606 | + | 1.22748i | 0.00249831 | + | 0.00144240i | ||||
\(852\) | −333.001 | + | 1183.18i | −0.390846 | + | 1.38871i | ||||
\(853\) | 153.875 | 0.180393 | 0.0901963 | − | 0.995924i | \(-0.471251\pi\) | ||||
0.0901963 | + | 0.995924i | \(0.471251\pi\) | |||||||
\(854\) | −55.3518 | + | 113.747i | −0.0648147 | + | 0.133193i | ||||
\(855\) | −51.7557 | − | 1.29934i | −0.0605330 | − | 0.00151970i | ||||
\(856\) | −130.144 | − | 225.417i | −0.152038 | − | 0.263337i | ||||
\(857\) | −524.068 | − | 302.571i | −0.611515 | − | 0.353058i | 0.162043 | − | 0.986784i | \(-0.448192\pi\) |
−0.773558 | + | 0.633725i | \(0.781525\pi\) | |||||||
\(858\) | −726.808 | − | 2855.35i | −0.847096 | − | 3.32791i | ||||
\(859\) | 276.508 | + | 478.927i | 0.321896 | + | 0.557540i | 0.980879 | − | 0.194618i | \(-0.0623466\pi\) |
−0.658983 | + | 0.752157i | \(0.729013\pi\) | |||||||
\(860\) | − | 16.8061i | − | 0.0195420i | ||||||
\(861\) | 31.7548 | + | 95.8365i | 0.0368813 | + | 0.111308i | ||||
\(862\) | 1818.55 | 2.10968 | ||||||||
\(863\) | −225.446 | + | 130.161i | −0.261236 | + | 0.150824i | −0.624898 | − | 0.780706i | \(-0.714859\pi\) |
0.363662 | + | 0.931531i | \(0.381526\pi\) | |||||||
\(864\) | 269.174 | + | 1180.69i | 0.311544 | + | 1.36654i | ||||
\(865\) | −99.5951 | + | 172.504i | −0.115139 | + | 0.199426i | ||||
\(866\) | −1429.10 | + | 825.091i | −1.65023 | + | 0.952761i | ||||
\(867\) | 738.775 | − | 720.460i | 0.852104 | − | 0.830981i | ||||
\(868\) | 1551.40 | − | 1048.45i | 1.78732 | − | 1.20790i | ||||
\(869\) | − | 1650.08i | − | 1.89883i | ||||||
\(870\) | −64.2730 | + | 228.367i | −0.0738770 | + | 0.262490i | ||||
\(871\) | −830.615 | + | 1438.67i | −0.953634 | + | 1.65174i | ||||
\(872\) | −70.6192 | − | 40.7720i | −0.0809854 | − | 0.0467569i | ||||
\(873\) | −382.430 | + | 208.178i | −0.438065 | + | 0.238463i | ||||
\(874\) | 1.75188 | 0.00200444 | ||||||||
\(875\) | 78.0668 | − | 5.52927i | 0.0892192 | − | 0.00631916i | ||||
\(876\) | −130.510 | + | 127.274i | −0.148984 | + | 0.145290i | ||||
\(877\) | 532.012 | + | 921.471i | 0.606627 | + | 1.05071i | 0.991792 | + | 0.127861i | \(0.0408111\pi\) |
−0.385165 | + | 0.922848i | \(0.625856\pi\) | |||||||
\(878\) | 1778.67 | + | 1026.91i | 2.02582 | + | 1.16961i | ||||
\(879\) | −378.683 | + | 96.3908i | −0.430811 | + | 0.109660i | ||||
\(880\) | −227.203 | − | 393.528i | −0.258186 | − | 0.447191i | ||||
\(881\) | 459.885i | 0.522004i | 0.965338 | + | 0.261002i | \(0.0840529\pi\) | ||||
−0.965338 | + | 0.261002i | \(0.915947\pi\) | |||||||
\(882\) | 525.247 | − | 1217.54i | 0.595518 | − | 1.38043i | ||||
\(883\) | −1453.73 | −1.64635 | −0.823177 | − | 0.567785i | \(-0.807801\pi\) | ||||
−0.823177 | + | 0.567785i | \(0.807801\pi\) | |||||||
\(884\) | −1898.30 | + | 1095.99i | −2.14740 | + | 1.23980i | ||||
\(885\) | −68.1027 | − | 267.549i | −0.0769522 | − | 0.302316i | ||||
\(886\) | −1039.89 | + | 1801.15i | −1.17369 | + | 2.03290i | ||||
\(887\) | 154.353 | − | 89.1157i | 0.174017 | − | 0.100469i | −0.410462 | − | 0.911878i | \(-0.634632\pi\) |
0.584479 | + | 0.811409i | \(0.301299\pi\) | |||||||
\(888\) | 71.0570 | + | 72.8633i | 0.0800192 | + | 0.0820533i | ||||
\(889\) | −22.2143 | − | 313.640i | −0.0249879 | − | 0.352800i | ||||
\(890\) | 110.668i | 0.124346i | ||||||||
\(891\) | 1362.43 | − | 697.905i | 1.52911 | − | 0.783283i | ||||
\(892\) | −57.5346 | + | 99.6528i | −0.0645006 | + | 0.111718i | ||||
\(893\) | 0.295441 | + | 0.170573i | 0.000330841 | + | 0.000191011i | ||||
\(894\) | −831.706 | − | 234.081i | −0.930320 | − | 0.261835i | ||||
\(895\) | 491.299 | 0.548938 | ||||||||
\(896\) | −379.257 | − | 561.186i | −0.423278 | − | 0.626324i | ||||
\(897\) | 8.19888 | + | 8.40730i | 0.00914034 | + | 0.00937269i | ||||
\(898\) | −355.533 | − | 615.801i | −0.395916 | − | 0.685747i | ||||
\(899\) | −540.520 | − | 312.070i | −0.601246 | − | 0.347130i | ||||
\(900\) | 193.540 | + | 118.314i | 0.215045 | + | 0.131461i | ||||
\(901\) | 412.136 | + | 713.840i | 0.457420 | + | 0.792275i | ||||
\(902\) | − | 273.191i | − | 0.302872i | ||||||
\(903\) | 29.7218 | − | 9.84812i | 0.0329145 | − | 0.0109060i | ||||
\(904\) | −244.178 | −0.270108 | ||||||||
\(905\) | 299.797 | − | 173.088i | 0.331268 | − | 0.191258i | ||||
\(906\) | 2022.48 | − | 514.806i | 2.23231 | − | 0.568219i | ||||
\(907\) | 289.720 | − | 501.810i | 0.319427 | − | 0.553264i | −0.660942 | − | 0.750437i | \(-0.729843\pi\) |
0.980369 | + | 0.197173i | \(0.0631762\pi\) | |||||||
\(908\) | −932.935 | + | 538.630i | −1.02746 | + | 0.593205i | ||||
\(909\) | 20.8201 | + | 0.522696i | 0.0229044 | + | 0.000575023i | ||||
\(910\) | 731.433 | + | 355.933i | 0.803773 | + | 0.391135i | ||||
\(911\) | − | 942.719i | − | 1.03482i | −0.855738 | − | 0.517409i | \(-0.826897\pi\) | ||
0.855738 | − | 0.517409i | \(-0.173103\pi\) | |||||||
\(912\) | −79.8853 | − | 22.4834i | −0.0875936 | − | 0.0246529i | ||||
\(913\) | −321.728 | + | 557.250i | −0.352386 | + | 0.610350i | ||||
\(914\) | −933.934 | − | 539.207i | −1.02181 | − | 0.589942i | ||||
\(915\) | 10.9228 | − | 38.8095i | 0.0119375 | − | 0.0424147i | ||||
\(916\) | −1111.91 | −1.21387 | ||||||||
\(917\) | 123.714 | + | 183.059i | 0.134911 | + | 0.199628i | ||||
\(918\) | −1388.88 | − | 1497.60i | −1.51294 | − | 1.63138i | ||||
\(919\) | 516.026 | + | 893.783i | 0.561508 | + | 0.972560i | 0.997365 | + | 0.0725442i | \(0.0231119\pi\) |
−0.435857 | + | 0.900016i | \(0.643555\pi\) | |||||||
\(920\) | −1.37263 | − | 0.792488i | −0.00149199 | − | 0.000861400i | ||||
\(921\) | −39.9754 | − | 157.048i | −0.0434044 | − | 0.170519i | ||||
\(922\) | 589.332 | + | 1020.75i | 0.639188 | + | 1.10711i | ||||
\(923\) | − | 1404.79i | − | 1.52198i | ||||||
\(924\) | −1330.00 | + | 1494.45i | −1.43939 | + | 1.61737i | ||||
\(925\) | −54.1981 | −0.0585925 | ||||||||
\(926\) | 534.361 | − | 308.514i | 0.577064 | − | 0.333168i | ||||
\(927\) | −797.159 | − | 487.317i | −0.859935 | − | 0.525692i | ||||
\(928\) | −263.766 | + | 456.856i | −0.284231 | + | 0.492302i | ||||
\(929\) | 320.778 | − | 185.201i | 0.345294 | − | 0.199356i | −0.317317 | − | 0.948320i | \(-0.602782\pi\) |
0.662611 | + | 0.748964i | \(0.269448\pi\) | |||||||
\(930\) | −766.278 | + | 747.281i | −0.823954 | + | 0.803528i | ||||
\(931\) | 77.7858 | + | 99.1943i | 0.0835508 | + | 0.106546i | ||||
\(932\) | 1250.20i | 1.34142i | ||||||||
\(933\) | 146.996 | − | 522.288i | 0.157552 | − | 0.559794i | ||||
\(934\) | 1240.90 | − | 2149.31i | 1.32859 | − | 2.30119i | ||||
\(935\) | 920.739 | + | 531.589i | 0.984747 | + | 0.568544i | ||||
\(936\) | 232.761 | + | 427.591i | 0.248677 | + | 0.456829i | ||||
\(937\) | −1696.08 | −1.81012 | −0.905060 | − | 0.425285i | \(-0.860174\pi\) | ||||
−0.905060 | + | 0.425285i | \(0.860174\pi\) | |||||||
\(938\) | 2017.95 | − | 142.926i | 2.15133 | − | 0.152373i | ||||
\(939\) | −819.301 | + | 798.990i | −0.872525 | + | 0.850894i | ||||
\(940\) | −0.747366 | − | 1.29448i | −0.000795071 | − | 0.00137710i | ||||
\(941\) | 888.477 | + | 512.963i | 0.944184 | + | 0.545125i | 0.891269 | − | 0.453474i | \(-0.149816\pi\) |
0.0529147 | + | 0.998599i | \(0.483149\pi\) | |||||||
\(942\) | 800.330 | − | 203.718i | 0.849607 | − | 0.216261i | ||||
\(943\) | 0.544419 | + | 0.942961i | 0.000577327 | + | 0.000999959i | ||||
\(944\) | − | 442.549i | − | 0.468802i | ||||||
\(945\) | −95.8287 | + | 411.609i | −0.101406 | + | 0.435565i | ||||
\(946\) | −84.7246 | −0.0895609 | ||||||||
\(947\) | −60.0851 | + | 34.6901i | −0.0634478 | + | 0.0366316i | −0.531388 | − | 0.847128i | \(-0.678329\pi\) |
0.467941 | + | 0.883760i | \(0.344996\pi\) | |||||||
\(948\) | 325.712 | + | 1279.60i | 0.343578 | + | 1.34978i | ||||
\(949\) | 104.173 | − | 180.432i | 0.109771 | − | 0.190129i | ||||
\(950\) | −33.4945 | + | 19.3381i | −0.0352574 | + | 0.0203559i | ||||
\(951\) | 987.596 | + | 1012.70i | 1.03848 | + | 1.06488i | ||||
\(952\) | 495.617 | + | 241.179i | 0.520606 | + | 0.253339i | ||||
\(953\) | − | 1777.09i | − | 1.86473i | −0.361518 | − | 0.932365i | \(-0.617742\pi\) | ||
0.361518 | − | 0.932365i | \(-0.382258\pi\) | |||||||
\(954\) | 778.699 | − | 423.888i | 0.816246 | − | 0.444327i | ||||
\(955\) | −142.957 | + | 247.609i | −0.149693 | + | 0.259276i | ||||
\(956\) | 1916.76 | + | 1106.64i | 2.00498 | + | 1.15757i | ||||
\(957\) | 641.905 | + | 180.662i | 0.670748 | + | 0.188779i | ||||
\(958\) | 1323.15 | 1.38115 | ||||||||
\(959\) | −371.418 | + | 763.255i | −0.387297 | + | 0.795886i | ||||
\(960\) | 430.166 | + | 441.100i | 0.448089 | + | 0.459480i | ||||
\(961\) | −927.439 | − | 1606.37i | −0.965077 | − | 1.67156i | ||||
\(962\) | −487.850 | − | 281.660i | −0.507121 | − | 0.292786i | ||||
\(963\) | −390.401 | + | 638.623i | −0.405401 | + | 0.663160i | ||||
\(964\) | −162.403 | − | 281.291i | −0.168468 | − | 0.291796i | ||||
\(965\) | 774.129i | 0.802206i | ||||||||
\(966\) | 2.89210 | − | 14.0052i | 0.00299389 | − | 0.0144981i | ||||
\(967\) | −1414.59 | −1.46287 | −0.731434 | − | 0.681912i | \(-0.761149\pi\) | ||||
−0.731434 | + | 0.681912i | \(0.761149\pi\) | |||||||
\(968\) | 640.081 | − | 369.551i | 0.661241 | − | 0.381767i | ||||
\(969\) | 188.169 | − | 47.8971i | 0.194189 | − | 0.0494294i | ||||
\(970\) | −162.640 | + | 281.700i | −0.167670 | + | 0.290413i | ||||
\(971\) | −1059.41 | + | 611.651i | −1.09105 | + | 0.629919i | −0.933856 | − | 0.357649i | \(-0.883579\pi\) |
−0.157195 | + | 0.987568i | \(0.550245\pi\) | |||||||
\(972\) | −918.770 | + | 810.139i | −0.945237 | + | 0.833476i | ||||
\(973\) | −133.368 | − | 1883.00i | −0.137069 | − | 1.93525i | ||||
\(974\) | − | 445.059i | − | 0.456939i | ||||||
\(975\) | −249.560 | − | 70.2377i | −0.255959 | − | 0.0720386i | ||||
\(976\) | 32.3137 | − | 55.9689i | 0.0331083 | − | 0.0573452i | ||||
\(977\) | 922.993 | + | 532.890i | 0.944722 | + | 0.545435i | 0.891437 | − | 0.453144i | \(-0.149698\pi\) |
0.0532845 | + | 0.998579i | \(0.483031\pi\) | |||||||
\(978\) | −473.903 | + | 1683.81i | −0.484563 | + | 1.72169i | ||||
\(979\) | 311.071 | 0.317744 | ||||||||
\(980\) | −77.8477 | − | 546.802i | −0.0794364 | − | 0.557961i | ||||
\(981\) | −5.88515 | + | 234.418i | −0.00599913 | + | 0.238959i | ||||
\(982\) | −878.299 | − | 1521.26i | −0.894398 | − | 1.54914i | ||||
\(983\) | 309.537 | + | 178.711i | 0.314890 | + | 0.181802i | 0.649113 | − | 0.760692i | \(-0.275140\pi\) |
−0.334222 | + | 0.942494i | \(0.608474\pi\) | |||||||
\(984\) | 11.1349 | + | 43.7449i | 0.0113160 | + | 0.0444562i | ||||
\(985\) | 260.713 | + | 451.569i | 0.264684 | + | 0.458446i | ||||
\(986\) | − | 889.759i | − | 0.902392i | ||||||
\(987\) | 1.85135 | − | 2.08027i | 0.00187574 | − | 0.00210767i | ||||
\(988\) | −224.136 | −0.226858 | ||||||||
\(989\) | 0.292440 | − | 0.168841i | 0.000295693 | − | 0.000170718i | ||||
\(990\) | 596.459 | − | 975.696i | 0.602483 | − | 0.985551i | ||||
\(991\) | −520.528 | + | 901.582i | −0.525256 | + | 0.909770i | 0.474312 | + | 0.880357i | \(0.342697\pi\) |
−0.999567 | + | 0.0294125i | \(0.990636\pi\) | |||||||
\(992\) | −2061.16 | + | 1190.01i | −2.07778 | + | 1.19961i | ||||
\(993\) | 352.239 | − | 343.507i | 0.354722 | − | 0.345929i | ||||
\(994\) | −1417.39 | + | 957.893i | −1.42595 | + | 0.963675i | ||||
\(995\) | − | 735.767i | − | 0.739465i | ||||||
\(996\) | 139.496 | − | 495.638i | 0.140056 | − | 0.497629i | ||||
\(997\) | 125.597 | − | 217.541i | 0.125975 | − | 0.218196i | −0.796138 | − | 0.605115i | \(-0.793127\pi\) |
0.922114 | + | 0.386919i | \(0.126461\pi\) | |||||||
\(998\) | 983.723 | + | 567.953i | 0.985694 | + | 0.569091i | ||||
\(999\) | 86.3358 | − | 279.645i | 0.0864222 | − | 0.279925i |
(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.11.16 | yes | 36 | |
3.2 | odd | 2 | inner | 105.3.t.b.11.3 | ✓ | 36 | |
7.2 | even | 3 | inner | 105.3.t.b.86.3 | yes | 36 | |
21.2 | odd | 6 | inner | 105.3.t.b.86.16 | yes | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
105.3.t.b.11.3 | ✓ | 36 | 3.2 | odd | 2 | inner | |
105.3.t.b.11.16 | yes | 36 | 1.1 | even | 1 | trivial | |
105.3.t.b.86.3 | yes | 36 | 7.2 | even | 3 | inner | |
105.3.t.b.86.16 | yes | 36 | 21.2 | odd | 6 | inner |