Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(277,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([0, 5, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.277");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.bj (of order \(20\), degree \(8\), 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: | \(7.42608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(128\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 337.14 | ||
Character | \(\chi\) | \(=\) | 930.337 |
Dual form | 930.2.bj.b.643.14 |
$q$-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 \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(1\) | \(e\left(\frac{1}{10}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.453990 | − | 0.891007i | 0.321020 | − | 0.630037i | ||||
\(3\) | −0.891007 | + | 0.453990i | −0.514423 | + | 0.262112i | ||||
\(4\) | −0.587785 | − | 0.809017i | −0.293893 | − | 0.404508i | ||||
\(5\) | 1.56858 | − | 1.59360i | 0.701491 | − | 0.712679i | ||||
\(6\) | 1.00000i | 0.408248i | ||||||||
\(7\) | −1.92087 | − | 0.304236i | −0.726020 | − | 0.114990i | −0.217524 | − | 0.976055i | \(-0.569798\pi\) |
−0.508496 | + | 0.861065i | \(0.669798\pi\) | |||||||
\(8\) | −0.987688 | + | 0.156434i | −0.349201 | + | 0.0553079i | ||||
\(9\) | 0.587785 | − | 0.809017i | 0.195928 | − | 0.269672i | ||||
\(10\) | −0.707785 | − | 2.12109i | −0.223821 | − | 0.670749i | ||||
\(11\) | −0.585214 | − | 0.805478i | −0.176449 | − | 0.242861i | 0.711628 | − | 0.702557i | \(-0.247958\pi\) |
−0.888076 | + | 0.459696i | \(0.847958\pi\) | |||||||
\(12\) | 0.891007 | + | 0.453990i | 0.257211 | + | 0.131056i | ||||
\(13\) | −4.81848 | + | 2.45514i | −1.33641 | + | 0.680933i | −0.968520 | − | 0.248937i | \(-0.919919\pi\) |
−0.367887 | + | 0.929870i | \(0.619919\pi\) | |||||||
\(14\) | −1.14313 | + | 1.57339i | −0.305515 | + | 0.420505i | ||||
\(15\) | −0.674138 | + | 2.13203i | −0.174062 | + | 0.550487i | ||||
\(16\) | −0.309017 | + | 0.951057i | −0.0772542 | + | 0.237764i | ||||
\(17\) | −0.502043 | + | 0.0795158i | −0.121763 | + | 0.0192854i | −0.217019 | − | 0.976167i | \(-0.569633\pi\) |
0.0952554 | + | 0.995453i | \(0.469633\pi\) | |||||||
\(18\) | −0.453990 | − | 0.891007i | −0.107007 | − | 0.210012i | ||||
\(19\) | −4.44347 | + | 1.44377i | −1.01940 | + | 0.331224i | −0.770592 | − | 0.637329i | \(-0.780039\pi\) |
−0.248810 | + | 0.968552i | \(0.580039\pi\) | |||||||
\(20\) | −2.21124 | − | 0.332316i | −0.494447 | − | 0.0743080i | ||||
\(21\) | 1.84963 | − | 0.600980i | 0.403622 | − | 0.131145i | ||||
\(22\) | −0.983368 | + | 0.155750i | −0.209655 | + | 0.0332061i | ||||
\(23\) | −1.29957 | − | 8.20515i | −0.270979 | − | 1.71089i | −0.629189 | − | 0.777252i | \(-0.716613\pi\) |
0.358210 | − | 0.933641i | \(-0.383387\pi\) | |||||||
\(24\) | 0.809017 | − | 0.587785i | 0.165140 | − | 0.119981i | ||||
\(25\) | −0.0791068 | − | 4.99937i | −0.0158214 | − | 0.999875i | ||||
\(26\) | 5.40791i | 1.06058i | ||||||||
\(27\) | −0.156434 | + | 0.987688i | −0.0301058 | + | 0.190081i | ||||
\(28\) | 0.882926 | + | 1.73284i | 0.166857 | + | 0.327476i | ||||
\(29\) | −0.361024 | − | 1.11112i | −0.0670406 | − | 0.206330i | 0.911924 | − | 0.410358i | \(-0.134596\pi\) |
−0.978965 | + | 0.204029i | \(0.934596\pi\) | |||||||
\(30\) | 1.59360 | + | 1.56858i | 0.290950 | + | 0.286382i | ||||
\(31\) | 1.85613 | + | 5.24926i | 0.333371 | + | 0.942796i | ||||
\(32\) | 0.707107 | + | 0.707107i | 0.125000 | + | 0.125000i | ||||
\(33\) | 0.887109 | + | 0.452005i | 0.154426 | + | 0.0786839i | ||||
\(34\) | −0.157074 | + | 0.483423i | −0.0269379 | + | 0.0829063i | ||||
\(35\) | −3.49787 | + | 2.58387i | −0.591247 | + | 0.436754i | ||||
\(36\) | −1.00000 | −0.166667 | ||||||||
\(37\) | 1.41717 | − | 1.41717i | 0.232981 | − | 0.232981i | −0.580955 | − | 0.813936i | \(-0.697321\pi\) |
0.813936 | + | 0.580955i | \(0.197321\pi\) | |||||||
\(38\) | −0.730884 | + | 4.61462i | −0.118565 | + | 0.748590i | ||||
\(39\) | 3.17869 | − | 4.37509i | 0.508998 | − | 0.700575i | ||||
\(40\) | −1.29998 | + | 1.81936i | −0.205544 | + | 0.287666i | ||||
\(41\) | 3.88080 | + | 11.9439i | 0.606080 | + | 1.86532i | 0.489191 | + | 0.872177i | \(0.337292\pi\) |
0.116889 | + | 0.993145i | \(0.462708\pi\) | |||||||
\(42\) | 0.304236 | − | 1.92087i | 0.0469446 | − | 0.296396i | ||||
\(43\) | −1.46092 | + | 2.86722i | −0.222789 | + | 0.437248i | −0.975163 | − | 0.221488i | \(-0.928909\pi\) |
0.752374 | + | 0.658736i | \(0.228909\pi\) | |||||||
\(44\) | −0.307665 | + | 0.946897i | −0.0463823 | + | 0.142750i | ||||
\(45\) | −0.367259 | − | 2.20570i | −0.0547477 | − | 0.328807i | ||||
\(46\) | −7.90084 | − | 2.56714i | −1.16492 | − | 0.378504i | ||||
\(47\) | −9.23113 | + | 4.70349i | −1.34650 | + | 0.686075i | −0.970625 | − | 0.240596i | \(-0.922657\pi\) |
−0.375873 | + | 0.926671i | \(0.622657\pi\) | |||||||
\(48\) | −0.156434 | − | 0.987688i | −0.0225794 | − | 0.142561i | ||||
\(49\) | −3.06022 | − | 0.994326i | −0.437174 | − | 0.142047i | ||||
\(50\) | −4.49039 | − | 2.19918i | −0.635037 | − | 0.311012i | ||||
\(51\) | 0.411224 | − | 0.298772i | 0.0575829 | − | 0.0418364i | ||||
\(52\) | 4.81848 | + | 2.45514i | 0.668204 | + | 0.340467i | ||||
\(53\) | −1.63924 | − | 10.3498i | −0.225167 | − | 1.42165i | −0.798337 | − | 0.602211i | \(-0.794286\pi\) |
0.573170 | − | 0.819437i | \(-0.305714\pi\) | |||||||
\(54\) | 0.809017 | + | 0.587785i | 0.110093 | + | 0.0799874i | ||||
\(55\) | −2.20156 | − | 0.330862i | −0.296859 | − | 0.0446134i | ||||
\(56\) | 1.94481 | 0.259886 | ||||||||
\(57\) | 3.30370 | − | 3.30370i | 0.437586 | − | 0.437586i | ||||
\(58\) | −1.15392 | − | 0.182762i | −0.151517 | − | 0.0239979i | ||||
\(59\) | −7.97882 | − | 2.59248i | −1.03875 | − | 0.337512i | −0.260508 | − | 0.965472i | \(-0.583890\pi\) |
−0.778246 | + | 0.627960i | \(0.783890\pi\) | |||||||
\(60\) | 2.12109 | − | 0.707785i | 0.273832 | − | 0.0913746i | ||||
\(61\) | − | 7.41552i | − | 0.949460i | −0.880132 | − | 0.474730i | \(-0.842546\pi\) | ||
0.880132 | − | 0.474730i | \(-0.157454\pi\) | |||||||
\(62\) | 5.51979 | + | 0.729292i | 0.701015 | + | 0.0926202i | ||||
\(63\) | −1.37519 | + | 1.37519i | −0.173258 | + | 0.173258i | ||||
\(64\) | 0.951057 | − | 0.309017i | 0.118882 | − | 0.0386271i | ||||
\(65\) | −3.64568 | + | 11.5298i | −0.452191 | + | 1.43010i | ||||
\(66\) | 0.805478 | − | 0.585214i | 0.0991475 | − | 0.0720349i | ||||
\(67\) | −8.86689 | − | 8.86689i | −1.08326 | − | 1.08326i | −0.996203 | − | 0.0870593i | \(-0.972253\pi\) |
−0.0870593 | − | 0.996203i | \(-0.527747\pi\) | |||||||
\(68\) | 0.359423 | + | 0.359423i | 0.0435864 | + | 0.0435864i | ||||
\(69\) | 4.88299 | + | 6.72085i | 0.587843 | + | 0.809096i | ||||
\(70\) | 0.714249 | + | 4.28968i | 0.0853691 | + | 0.512714i | ||||
\(71\) | 5.65799 | + | 4.11077i | 0.671480 | + | 0.487859i | 0.870520 | − | 0.492133i | \(-0.163783\pi\) |
−0.199040 | + | 0.979991i | \(0.563783\pi\) | |||||||
\(72\) | −0.453990 | + | 0.891007i | −0.0535033 | + | 0.105006i | ||||
\(73\) | −10.3475 | − | 1.63888i | −1.21108 | − | 0.191816i | −0.481955 | − | 0.876196i | \(-0.660073\pi\) |
−0.729126 | + | 0.684380i | \(0.760073\pi\) | |||||||
\(74\) | −0.619324 | − | 1.90608i | −0.0719949 | − | 0.221578i | ||||
\(75\) | 2.34015 | + | 4.41856i | 0.270218 | + | 0.510212i | ||||
\(76\) | 3.77984 | + | 2.74621i | 0.433577 | + | 0.315012i | ||||
\(77\) | 0.879065 | + | 1.72526i | 0.100179 | + | 0.196612i | ||||
\(78\) | −2.45514 | − | 4.81848i | −0.277990 | − | 0.545586i | ||||
\(79\) | −9.96505 | − | 7.24003i | −1.12116 | − | 0.814567i | −0.136771 | − | 0.990603i | \(-0.543673\pi\) |
−0.984384 | + | 0.176036i | \(0.943673\pi\) | |||||||
\(80\) | 1.03088 | + | 1.98426i | 0.115256 | + | 0.221847i | ||||
\(81\) | −0.309017 | − | 0.951057i | −0.0343352 | − | 0.105673i | ||||
\(82\) | 12.4039 | + | 1.96459i | 1.36978 | + | 0.216953i | ||||
\(83\) | −5.66228 | + | 11.1128i | −0.621516 | + | 1.21979i | 0.338795 | + | 0.940860i | \(0.389981\pi\) |
−0.960311 | + | 0.278933i | \(0.910019\pi\) | |||||||
\(84\) | −1.57339 | − | 1.14313i | −0.171671 | − | 0.124726i | ||||
\(85\) | −0.660779 | + | 0.924781i | −0.0716715 | + | 0.100307i | ||||
\(86\) | 1.89147 | + | 2.60338i | 0.203962 | + | 0.280730i | ||||
\(87\) | 0.826113 | + | 0.826113i | 0.0885686 | + | 0.0885686i | ||||
\(88\) | 0.704014 | + | 0.704014i | 0.0750481 | + | 0.0750481i | ||||
\(89\) | 10.1817 | − | 7.39743i | 1.07926 | − | 0.784126i | 0.101704 | − | 0.994815i | \(-0.467571\pi\) |
0.977553 | + | 0.210688i | \(0.0675706\pi\) | |||||||
\(90\) | −2.13203 | − | 0.674138i | −0.224735 | − | 0.0710604i | ||||
\(91\) | 10.0026 | − | 3.25005i | 1.04856 | − | 0.340697i | ||||
\(92\) | −5.87424 | + | 5.87424i | −0.612432 | + | 0.612432i | ||||
\(93\) | −4.03694 | − | 3.83446i | −0.418611 | − | 0.397615i | ||||
\(94\) | 10.3603i | 1.06859i | ||||||||
\(95\) | −4.66915 | + | 9.34577i | −0.479045 | + | 0.958856i | ||||
\(96\) | −0.951057 | − | 0.309017i | −0.0970668 | − | 0.0315389i | ||||
\(97\) | 17.6083 | + | 2.78888i | 1.78785 | + | 0.283168i | 0.960453 | − | 0.278443i | \(-0.0898182\pi\) |
0.827401 | + | 0.561611i | \(0.189818\pi\) | |||||||
\(98\) | −2.27526 | + | 2.27526i | −0.229836 | + | 0.229836i | ||||
\(99\) | −0.995626 | −0.100064 | ||||||||
\(100\) | −3.99808 | + | 3.00256i | −0.399808 | + | 0.300256i | ||||
\(101\) | 3.67545 | + | 2.67037i | 0.365721 | + | 0.265712i | 0.755434 | − | 0.655225i | \(-0.227426\pi\) |
−0.389714 | + | 0.920936i | \(0.627426\pi\) | |||||||
\(102\) | −0.0795158 | − | 0.502043i | −0.00787323 | − | 0.0497096i | ||||
\(103\) | 1.57999 | + | 0.805045i | 0.155681 | + | 0.0793235i | 0.530095 | − | 0.847938i | \(-0.322156\pi\) |
−0.374414 | + | 0.927262i | \(0.622156\pi\) | |||||||
\(104\) | 4.37509 | − | 3.17869i | 0.429013 | − | 0.311696i | ||||
\(105\) | 1.94357 | − | 3.89025i | 0.189673 | − | 0.379649i | ||||
\(106\) | −9.96590 | − | 3.23812i | −0.967974 | − | 0.314514i | ||||
\(107\) | 0.166520 | + | 1.05137i | 0.0160981 | + | 0.101639i | 0.994429 | − | 0.105408i | \(-0.0336147\pi\) |
−0.978331 | + | 0.207047i | \(0.933615\pi\) | |||||||
\(108\) | 0.891007 | − | 0.453990i | 0.0857371 | − | 0.0436853i | ||||
\(109\) | 17.8163 | + | 5.78886i | 1.70649 | + | 0.554472i | 0.989743 | − | 0.142861i | \(-0.0456303\pi\) |
0.716747 | + | 0.697333i | \(0.245630\pi\) | |||||||
\(110\) | −1.29429 | + | 1.81140i | −0.123406 | + | 0.172710i | ||||
\(111\) | −0.619324 | + | 1.90608i | −0.0587836 | + | 0.180917i | ||||
\(112\) | 0.882926 | − | 1.73284i | 0.0834287 | − | 0.163738i | ||||
\(113\) | 0.954049 | − | 6.02363i | 0.0897494 | − | 0.566656i | −0.901304 | − | 0.433188i | \(-0.857389\pi\) |
0.991053 | − | 0.133468i | \(-0.0426113\pi\) | |||||||
\(114\) | −1.44377 | − | 4.44347i | −0.135221 | − | 0.416169i | ||||
\(115\) | −15.1142 | − | 10.7995i | −1.40941 | − | 1.00705i | ||||
\(116\) | −0.686709 | + | 0.945174i | −0.0637594 | + | 0.0877572i | ||||
\(117\) | −0.845984 | + | 5.34133i | −0.0782112 | + | 0.493806i | ||||
\(118\) | −5.93222 | + | 5.93222i | −0.546105 | + | 0.546105i | ||||
\(119\) | 0.988549 | 0.0906202 | ||||||||
\(120\) | 0.332316 | − | 2.21124i | 0.0303361 | − | 0.201857i | ||||
\(121\) | 3.09287 | − | 9.51887i | 0.281170 | − | 0.865351i | ||||
\(122\) | −6.60728 | − | 3.36658i | −0.598195 | − | 0.304795i | ||||
\(123\) | −8.88023 | − | 8.88023i | −0.800704 | − | 0.800704i | ||||
\(124\) | 3.15574 | − | 4.58708i | 0.283394 | − | 0.411932i | ||||
\(125\) | −8.09108 | − | 7.71586i | −0.723688 | − | 0.690127i | ||||
\(126\) | 0.600980 | + | 1.84963i | 0.0535396 | + | 0.164778i | ||||
\(127\) | 2.24723 | + | 4.41043i | 0.199409 | + | 0.391363i | 0.968958 | − | 0.247225i | \(-0.0795188\pi\) |
−0.769549 | + | 0.638588i | \(0.779519\pi\) | |||||||
\(128\) | 0.156434 | − | 0.987688i | 0.0138270 | − | 0.0873001i | ||||
\(129\) | − | 3.21796i | − | 0.283326i | ||||||
\(130\) | 8.61804 | + | 8.48275i | 0.755852 | + | 0.743986i | ||||
\(131\) | 7.43009 | − | 5.39828i | 0.649170 | − | 0.471650i | −0.213818 | − | 0.976873i | \(-0.568590\pi\) |
0.862988 | + | 0.505224i | \(0.168590\pi\) | |||||||
\(132\) | −0.155750 | − | 0.983368i | −0.0135563 | − | 0.0855912i | ||||
\(133\) | 8.97456 | − | 1.42143i | 0.778193 | − | 0.123254i | ||||
\(134\) | −11.9259 | + | 3.87497i | −1.03024 | + | 0.334747i | ||||
\(135\) | 1.32860 | + | 1.79856i | 0.114347 | + | 0.154796i | ||||
\(136\) | 0.483423 | − | 0.157074i | 0.0414532 | − | 0.0134689i | ||||
\(137\) | −1.29526 | − | 2.54209i | −0.110662 | − | 0.217186i | 0.829033 | − | 0.559199i | \(-0.188891\pi\) |
−0.939695 | + | 0.342013i | \(0.888891\pi\) | |||||||
\(138\) | 8.20515 | − | 1.29957i | 0.698469 | − | 0.110627i | ||||
\(139\) | 6.32544 | − | 19.4677i | 0.536517 | − | 1.65123i | −0.203832 | − | 0.979006i | \(-0.565340\pi\) |
0.740349 | − | 0.672223i | \(-0.234660\pi\) | |||||||
\(140\) | 4.14639 | + | 1.31107i | 0.350434 | + | 0.110806i | ||||
\(141\) | 6.08965 | − | 8.38169i | 0.512841 | − | 0.705865i | ||||
\(142\) | 6.23140 | − | 3.17505i | 0.522927 | − | 0.266445i | ||||
\(143\) | 4.79741 | + | 2.44440i | 0.401180 | + | 0.204411i | ||||
\(144\) | 0.587785 | + | 0.809017i | 0.0489821 | + | 0.0674181i | ||||
\(145\) | −2.33697 | − | 1.16755i | −0.194075 | − | 0.0969600i | ||||
\(146\) | −6.15791 | + | 8.47564i | −0.509632 | + | 0.701449i | ||||
\(147\) | 3.17809 | − | 0.503360i | 0.262124 | − | 0.0415164i | ||||
\(148\) | −1.97950 | − | 0.313522i | −0.162714 | − | 0.0257713i | ||||
\(149\) | 12.3400i | 1.01094i | 0.862846 | + | 0.505468i | \(0.168680\pi\) | ||||
−0.862846 | + | 0.505468i | \(0.831320\pi\) | |||||||
\(150\) | 4.99937 | − | 0.0791068i | 0.408197 | − | 0.00645904i | ||||
\(151\) | −6.65413 | − | 9.15863i | −0.541506 | − | 0.745319i | 0.447323 | − | 0.894372i | \(-0.352377\pi\) |
−0.988829 | + | 0.149054i | \(0.952377\pi\) | |||||||
\(152\) | 4.16291 | − | 2.12111i | 0.337656 | − | 0.172044i | ||||
\(153\) | −0.230764 | + | 0.452899i | −0.0186561 | + | 0.0366147i | ||||
\(154\) | 1.93631 | 0.156032 | ||||||||
\(155\) | 11.2767 | + | 5.27597i | 0.905767 | + | 0.423776i | ||||
\(156\) | −5.40791 | −0.432979 | ||||||||
\(157\) | 7.38584 | − | 14.4955i | 0.589454 | − | 1.15687i | −0.382994 | − | 0.923751i | \(-0.625107\pi\) |
0.972448 | − | 0.233118i | \(-0.0748929\pi\) | |||||||
\(158\) | −10.9750 | + | 5.59202i | −0.873120 | + | 0.444877i | ||||
\(159\) | 6.15926 | + | 8.47750i | 0.488461 | + | 0.672309i | ||||
\(160\) | 2.23600 | − | 0.0176894i | 0.176771 | − | 0.00139847i | ||||
\(161\) | 16.1564i | 1.27330i | ||||||||
\(162\) | −0.987688 | − | 0.156434i | −0.0776001 | − | 0.0122907i | ||||
\(163\) | −2.47733 | + | 0.392370i | −0.194039 | + | 0.0307328i | −0.252698 | − | 0.967545i | \(-0.581318\pi\) |
0.0586583 | + | 0.998278i | \(0.481318\pi\) | |||||||
\(164\) | 7.38173 | − | 10.1601i | 0.576416 | − | 0.793369i | ||||
\(165\) | 2.11182 | − | 0.704689i | 0.164405 | − | 0.0548600i | ||||
\(166\) | 7.33100 | + | 10.0903i | 0.568996 | + | 0.783155i | ||||
\(167\) | 5.11534 | + | 2.60640i | 0.395837 | + | 0.201689i | 0.640567 | − | 0.767902i | \(-0.278699\pi\) |
−0.244730 | + | 0.969591i | \(0.578699\pi\) | |||||||
\(168\) | −1.73284 | + | 0.882926i | −0.133692 | + | 0.0681192i | ||||
\(169\) | 9.54887 | − | 13.1429i | 0.734528 | − | 1.01099i | ||||
\(170\) | 0.523999 | + | 1.00860i | 0.0401889 | + | 0.0773561i | ||||
\(171\) | −1.44377 | + | 4.44347i | −0.110408 | + | 0.339801i | ||||
\(172\) | 3.17834 | − | 0.503400i | 0.242346 | − | 0.0383839i | ||||
\(173\) | −5.05762 | − | 9.92613i | −0.384523 | − | 0.754670i | 0.614901 | − | 0.788605i | \(-0.289196\pi\) |
−0.999424 | + | 0.0339349i | \(0.989196\pi\) | |||||||
\(174\) | 1.11112 | − | 0.361024i | 0.0842337 | − | 0.0273692i | ||||
\(175\) | −1.36903 | + | 9.62721i | −0.103489 | + | 0.727748i | ||||
\(176\) | 0.946897 | − | 0.307665i | 0.0713750 | − | 0.0231912i | ||||
\(177\) | 8.28614 | − | 1.31240i | 0.622824 | − | 0.0986457i | ||||
\(178\) | −1.96877 | − | 12.4303i | −0.147565 | − | 0.931692i | ||||
\(179\) | −5.61889 | + | 4.08236i | −0.419976 | + | 0.305130i | −0.777628 | − | 0.628725i | \(-0.783577\pi\) |
0.357652 | + | 0.933855i | \(0.383577\pi\) | |||||||
\(180\) | −1.56858 | + | 1.59360i | −0.116915 | + | 0.118780i | ||||
\(181\) | 8.42055i | 0.625894i | 0.949771 | + | 0.312947i | \(0.101316\pi\) | ||||
−0.949771 | + | 0.312947i | \(0.898684\pi\) | |||||||
\(182\) | 1.64528 | − | 10.3879i | 0.121956 | − | 0.770001i | ||||
\(183\) | 3.36658 | + | 6.60728i | 0.248864 | + | 0.488424i | ||||
\(184\) | 2.56714 | + | 7.90084i | 0.189252 | + | 0.582458i | ||||
\(185\) | −0.0354526 | − | 4.48133i | −0.00260653 | − | 0.329474i | ||||
\(186\) | −5.24926 | + | 1.85613i | −0.384895 | + | 0.136098i | ||||
\(187\) | 0.357851 | + | 0.357851i | 0.0261686 | + | 0.0261686i | ||||
\(188\) | 9.23113 | + | 4.70349i | 0.673249 | + | 0.343038i | ||||
\(189\) | 0.600980 | − | 1.84963i | 0.0437149 | − | 0.134541i | ||||
\(190\) | 6.20739 | + | 8.40314i | 0.450332 | + | 0.609628i | ||||
\(191\) | −4.35439 | −0.315072 | −0.157536 | − | 0.987513i | \(-0.550355\pi\) | ||||
−0.157536 | + | 0.987513i | \(0.550355\pi\) | |||||||
\(192\) | −0.707107 | + | 0.707107i | −0.0510310 | + | 0.0510310i | ||||
\(193\) | −0.620116 | + | 3.91526i | −0.0446370 | + | 0.281827i | −0.999903 | − | 0.0139209i | \(-0.995569\pi\) |
0.955266 | + | 0.295748i | \(0.0955687\pi\) | |||||||
\(194\) | 10.4789 | − | 14.4230i | 0.752343 | − | 1.03551i | ||||
\(195\) | −1.98610 | − | 11.9282i | −0.142228 | − | 0.854199i | ||||
\(196\) | 0.994326 | + | 3.06022i | 0.0710233 | + | 0.218587i | ||||
\(197\) | 3.20267 | − | 20.2208i | 0.228180 | − | 1.44067i | −0.561663 | − | 0.827366i | \(-0.689838\pi\) |
0.789843 | − | 0.613309i | \(-0.210162\pi\) | |||||||
\(198\) | −0.452005 | + | 0.887109i | −0.0321226 | + | 0.0630441i | ||||
\(199\) | 3.68657 | − | 11.3461i | 0.261334 | − | 0.804304i | −0.731181 | − | 0.682184i | \(-0.761031\pi\) |
0.992515 | − | 0.122121i | \(-0.0389695\pi\) | |||||||
\(200\) | 0.860207 | + | 4.92545i | 0.0608258 | + | 0.348282i | ||||
\(201\) | 11.9259 | + | 3.87497i | 0.841191 | + | 0.273319i | ||||
\(202\) | 4.04793 | − | 2.06253i | 0.284812 | − | 0.145119i | ||||
\(203\) | 0.355438 | + | 2.24415i | 0.0249469 | + | 0.157508i | ||||
\(204\) | −0.483423 | − | 0.157074i | −0.0338464 | − | 0.0109973i | ||||
\(205\) | 25.1211 | + | 12.5505i | 1.75453 | + | 0.876566i | ||||
\(206\) | 1.43460 | − | 1.04230i | 0.0999534 | − | 0.0726204i | ||||
\(207\) | −7.40198 | − | 3.77150i | −0.514473 | − | 0.262137i | ||||
\(208\) | −0.845984 | − | 5.34133i | −0.0586584 | − | 0.370355i | ||||
\(209\) | 3.76331 | + | 2.73420i | 0.260313 | + | 0.189129i | ||||
\(210\) | −2.58387 | − | 3.49787i | −0.178304 | − | 0.241376i | ||||
\(211\) | 13.2418 | 0.911603 | 0.455801 | − | 0.890082i | \(-0.349353\pi\) | ||||
0.455801 | + | 0.890082i | \(0.349353\pi\) | |||||||
\(212\) | −7.40961 | + | 7.40961i | −0.508894 | + | 0.508894i | ||||
\(213\) | −6.90756 | − | 1.09405i | −0.473298 | − | 0.0749630i | ||||
\(214\) | 1.01237 | + | 0.328940i | 0.0692044 | + | 0.0224859i | ||||
\(215\) | 2.27762 | + | 6.82560i | 0.155333 | + | 0.465502i | ||||
\(216\) | − | 1.00000i | − | 0.0680414i | ||||||
\(217\) | −1.96837 | − | 10.6478i | −0.133622 | − | 0.722823i | ||||
\(218\) | 13.2463 | − | 13.2463i | 0.897155 | − | 0.897155i | ||||
\(219\) | 9.96371 | − | 3.23741i | 0.673285 | − | 0.218764i | ||||
\(220\) | 1.02637 | + | 1.97558i | 0.0691981 | + | 0.133194i | ||||
\(221\) | 2.22386 | − | 1.61573i | 0.149593 | − | 0.108686i | ||||
\(222\) | 1.41717 | + | 1.41717i | 0.0951139 | + | 0.0951139i | ||||
\(223\) | −8.54215 | − | 8.54215i | −0.572025 | − | 0.572025i | 0.360669 | − | 0.932694i | \(-0.382548\pi\) |
−0.932694 | + | 0.360669i | \(0.882548\pi\) | |||||||
\(224\) | −1.14313 | − | 1.57339i | −0.0763787 | − | 0.105126i | ||||
\(225\) | −4.09108 | − | 2.87456i | −0.272738 | − | 0.191637i | ||||
\(226\) | −4.93397 | − | 3.58474i | −0.328202 | − | 0.238453i | ||||
\(227\) | −7.72339 | + | 15.1580i | −0.512619 | + | 1.00607i | 0.479114 | + | 0.877753i | \(0.340958\pi\) |
−0.991733 | + | 0.128319i | \(0.959042\pi\) | |||||||
\(228\) | −4.61462 | − | 0.730884i | −0.305610 | − | 0.0484039i | ||||
\(229\) | 2.71847 | + | 8.36660i | 0.179642 | + | 0.552881i | 0.999815 | − | 0.0192346i | \(-0.00612295\pi\) |
−0.820173 | + | 0.572115i | \(0.806123\pi\) | |||||||
\(230\) | −16.4841 | + | 8.56399i | −1.08693 | + | 0.564693i | ||||
\(231\) | −1.56650 | − | 1.13813i | −0.103068 | − | 0.0748836i | ||||
\(232\) | 0.530397 | + | 1.04096i | 0.0348223 | + | 0.0683426i | ||||
\(233\) | 7.19715 | + | 14.1252i | 0.471501 | + | 0.925373i | 0.997206 | + | 0.0747055i | \(0.0238017\pi\) |
−0.525705 | + | 0.850667i | \(0.676198\pi\) | |||||||
\(234\) | 4.37509 | + | 3.17869i | 0.286009 | + | 0.207798i | ||||
\(235\) | −6.98429 | + | 22.0885i | −0.455605 | + | 1.44090i | ||||
\(236\) | 2.59248 | + | 7.97882i | 0.168756 | + | 0.519377i | ||||
\(237\) | 12.1658 | + | 1.92688i | 0.790255 | + | 0.125164i | ||||
\(238\) | 0.448792 | − | 0.880804i | 0.0290909 | − | 0.0570940i | ||||
\(239\) | 1.77337 | + | 1.28843i | 0.114710 | + | 0.0833415i | 0.643661 | − | 0.765311i | \(-0.277415\pi\) |
−0.528951 | + | 0.848652i | \(0.677415\pi\) | |||||||
\(240\) | −1.81936 | − | 1.29998i | −0.117439 | − | 0.0839131i | ||||
\(241\) | −9.80183 | − | 13.4911i | −0.631391 | − | 0.869035i | 0.366729 | − | 0.930328i | \(-0.380478\pi\) |
−0.998120 | + | 0.0612926i | \(0.980478\pi\) | |||||||
\(242\) | −7.07724 | − | 7.07724i | −0.454942 | − | 0.454942i | ||||
\(243\) | 0.707107 | + | 0.707107i | 0.0453609 | + | 0.0453609i | ||||
\(244\) | −5.99928 | + | 4.35873i | −0.384065 | + | 0.279039i | ||||
\(245\) | −6.38476 | + | 3.31708i | −0.407907 | + | 0.211920i | ||||
\(246\) | −11.9439 | + | 3.88080i | −0.761514 | + | 0.247431i | ||||
\(247\) | 17.8661 | − | 17.8661i | 1.13679 | − | 1.13679i | ||||
\(248\) | −2.65444 | − | 4.89427i | −0.168557 | − | 0.310787i | ||||
\(249\) | − | 12.4722i | − | 0.790396i | ||||||
\(250\) | −10.5482 | + | 3.70627i | −0.667124 | + | 0.234405i | ||||
\(251\) | −16.3728 | − | 5.31985i | −1.03344 | − | 0.335786i | −0.257293 | − | 0.966334i | \(-0.582830\pi\) |
−0.776151 | + | 0.630548i | \(0.782830\pi\) | |||||||
\(252\) | 1.92087 | + | 0.304236i | 0.121003 | + | 0.0191650i | ||||
\(253\) | −5.84855 | + | 5.84855i | −0.367695 | + | 0.367695i | ||||
\(254\) | 4.94994 | 0.310587 | ||||||||
\(255\) | 0.168916 | − | 1.12397i | 0.0105779 | − | 0.0703859i | ||||
\(256\) | −0.809017 | − | 0.587785i | −0.0505636 | − | 0.0367366i | ||||
\(257\) | 0.181858 | + | 1.14821i | 0.0113440 | + | 0.0716233i | 0.992711 | − | 0.120520i | \(-0.0384562\pi\) |
−0.981367 | + | 0.192143i | \(0.938456\pi\) | |||||||
\(258\) | −2.86722 | − | 1.46092i | −0.178506 | − | 0.0909531i | ||||
\(259\) | −3.15334 | + | 2.29104i | −0.195939 | + | 0.142358i | ||||
\(260\) | 11.4707 | − | 3.82764i | 0.711382 | − | 0.237380i | ||||
\(261\) | −1.11112 | − | 0.361024i | −0.0687765 | − | 0.0223469i | ||||
\(262\) | −1.43671 | − | 9.07102i | −0.0887602 | − | 0.560410i | ||||
\(263\) | 16.3602 | − | 8.33592i | 1.00881 | − | 0.514015i | 0.130167 | − | 0.991492i | \(-0.458449\pi\) |
0.878644 | + | 0.477477i | \(0.158449\pi\) | |||||||
\(264\) | −0.946897 | − | 0.307665i | −0.0582775 | − | 0.0189355i | ||||
\(265\) | −19.0646 | − | 13.6221i | −1.17113 | − | 0.836801i | ||||
\(266\) | 2.80786 | − | 8.64171i | 0.172161 | − | 0.529857i | ||||
\(267\) | −5.71359 | + | 11.2136i | −0.349666 | + | 0.686258i | ||||
\(268\) | −1.96164 | + | 12.3853i | −0.119826 | + | 0.756552i | ||||
\(269\) | 4.71674 | + | 14.5166i | 0.287585 | + | 0.885094i | 0.985612 | + | 0.169023i | \(0.0540613\pi\) |
−0.698027 | + | 0.716071i | \(0.745939\pi\) | |||||||
\(270\) | 2.20570 | − | 0.367259i | 0.134235 | − | 0.0223507i | ||||
\(271\) | 5.63803 | − | 7.76008i | 0.342486 | − | 0.471391i | −0.602680 | − | 0.797983i | \(-0.705900\pi\) |
0.945165 | + | 0.326592i | \(0.105900\pi\) | |||||||
\(272\) | 0.0795158 | − | 0.502043i | 0.00482135 | − | 0.0304408i | ||||
\(273\) | −7.43691 | + | 7.43691i | −0.450102 | + | 0.450102i | ||||
\(274\) | −2.85306 | −0.172360 | ||||||||
\(275\) | −3.98059 | + | 2.98942i | −0.240039 | + | 0.180269i | ||||
\(276\) | 2.56714 | − | 7.90084i | 0.154524 | − | 0.475575i | ||||
\(277\) | −22.1773 | − | 11.2999i | −1.33250 | − | 0.678944i | −0.364811 | − | 0.931082i | \(-0.618866\pi\) |
−0.967691 | + | 0.252138i | \(0.918866\pi\) | |||||||
\(278\) | −14.4742 | − | 14.4742i | −0.868102 | − | 0.868102i | ||||
\(279\) | 5.33775 | + | 1.58380i | 0.319563 | + | 0.0948196i | ||||
\(280\) | 3.05060 | − | 3.09925i | 0.182308 | − | 0.185216i | ||||
\(281\) | −2.45486 | − | 7.55529i | −0.146445 | − | 0.450711i | 0.850749 | − | 0.525572i | \(-0.176149\pi\) |
−0.997194 | + | 0.0748610i | \(0.976149\pi\) | |||||||
\(282\) | −4.70349 | − | 9.23113i | −0.280089 | − | 0.549706i | ||||
\(283\) | 1.65835 | − | 10.4704i | 0.0985786 | − | 0.622401i | −0.888091 | − | 0.459667i | \(-0.847969\pi\) |
0.986670 | − | 0.162734i | \(-0.0520312\pi\) | |||||||
\(284\) | − | 6.99366i | − | 0.414997i | ||||||
\(285\) | −0.0826472 | − | 10.4469i | −0.00489560 | − | 0.618821i | ||||
\(286\) | 4.35596 | − | 3.16479i | 0.257573 | − | 0.187138i | ||||
\(287\) | −3.82076 | − | 24.1233i | −0.225532 | − | 1.42395i | ||||
\(288\) | 0.987688 | − | 0.156434i | 0.0582001 | − | 0.00921799i | ||||
\(289\) | −15.9222 | + | 5.17345i | −0.936602 | + | 0.304320i | ||||
\(290\) | −2.10126 | + | 1.55220i | −0.123390 | + | 0.0911483i | ||||
\(291\) | −16.9553 | + | 5.50910i | −0.993935 | + | 0.322949i | ||||
\(292\) | 4.75621 | + | 9.33460i | 0.278336 | + | 0.546266i | ||||
\(293\) | −26.7168 | + | 4.23152i | −1.56081 | + | 0.247208i | −0.876289 | − | 0.481785i | \(-0.839988\pi\) |
−0.684521 | + | 0.728993i | \(0.739988\pi\) | |||||||
\(294\) | 0.994326 | − | 3.06022i | 0.0579902 | − | 0.178476i | ||||
\(295\) | −16.6468 | + | 8.64852i | −0.969214 | + | 0.503536i | ||||
\(296\) | −1.17802 | + | 1.62141i | −0.0684713 | + | 0.0942426i | ||||
\(297\) | 0.887109 | − | 0.452005i | 0.0514753 | − | 0.0262280i | ||||
\(298\) | 10.9951 | + | 5.60226i | 0.636926 | + | 0.324530i | ||||
\(299\) | 26.4068 | + | 36.3458i | 1.52714 | + | 2.10193i | ||||
\(300\) | 2.19918 | − | 4.49039i | 0.126970 | − | 0.259253i | ||||
\(301\) | 3.67855 | − | 5.06309i | 0.212028 | − | 0.291832i | ||||
\(302\) | −11.1813 | + | 1.77095i | −0.643412 | + | 0.101906i | ||||
\(303\) | −4.48717 | − | 0.710698i | −0.257781 | − | 0.0408285i | ||||
\(304\) | − | 4.67214i | − | 0.267966i | ||||||
\(305\) | −11.8174 | − | 11.6318i | −0.676660 | − | 0.666037i | ||||
\(306\) | 0.298772 | + | 0.411224i | 0.0170796 | + | 0.0235081i | ||||
\(307\) | −19.7595 | + | 10.0680i | −1.12774 | + | 0.574611i | −0.915384 | − | 0.402582i | \(-0.868113\pi\) |
−0.212353 | + | 0.977193i | \(0.568113\pi\) | |||||||
\(308\) | 0.879065 | − | 1.72526i | 0.0500894 | − | 0.0983059i | ||||
\(309\) | −1.77326 | −0.100878 | ||||||||
\(310\) | 9.82044 | − | 7.65238i | 0.557764 | − | 0.434626i | ||||
\(311\) | 14.2043 | 0.805450 | 0.402725 | − | 0.915321i | \(-0.368063\pi\) | ||||
0.402725 | + | 0.915321i | \(0.368063\pi\) | |||||||
\(312\) | −2.45514 | + | 4.81848i | −0.138995 | + | 0.272793i | ||||
\(313\) | −7.89936 | + | 4.02493i | −0.446499 | + | 0.227502i | −0.662758 | − | 0.748834i | \(-0.730614\pi\) |
0.216260 | + | 0.976336i | \(0.430614\pi\) | |||||||
\(314\) | −9.56251 | − | 13.1617i | −0.539643 | − | 0.742755i | ||||
\(315\) | 0.0344025 | + | 4.34860i | 0.00193836 | + | 0.245016i | ||||
\(316\) | 12.3175i | 0.692912i | ||||||||
\(317\) | −24.0874 | − | 3.81507i | −1.35288 | − | 0.214276i | −0.562455 | − | 0.826828i | \(-0.690143\pi\) |
−0.790430 | + | 0.612552i | \(0.790143\pi\) | |||||||
\(318\) | 10.3498 | − | 1.63924i | 0.580385 | − | 0.0919240i | ||||
\(319\) | −0.683706 | + | 0.941040i | −0.0382802 | + | 0.0526881i | ||||
\(320\) | 0.999361 | − | 2.00032i | 0.0558660 | − | 0.111821i | ||||
\(321\) | −0.625681 | − | 0.861176i | −0.0349221 | − | 0.0480662i | ||||
\(322\) | 14.3955 | + | 7.33485i | 0.802227 | + | 0.408755i | ||||
\(323\) | 2.11601 | − | 1.07816i | 0.117738 | − | 0.0599904i | ||||
\(324\) | −0.587785 | + | 0.809017i | −0.0326547 | + | 0.0449454i | ||||
\(325\) | 12.6553 | + | 23.8952i | 0.701992 | + | 1.32547i | ||||
\(326\) | −0.775079 | + | 2.38545i | −0.0429276 | + | 0.132118i | ||||
\(327\) | −18.5025 | + | 2.93051i | −1.02319 | + | 0.162057i | ||||
\(328\) | −5.70146 | − | 11.1897i | −0.314811 | − | 0.617850i | ||||
\(329\) | 19.1627 | − | 6.22635i | 1.05648 | − | 0.343270i | ||||
\(330\) | 0.330862 | − | 2.20156i | 0.0182134 | − | 0.121192i | ||||
\(331\) | 4.87160 | − | 1.58288i | 0.267767 | − | 0.0870028i | −0.172056 | − | 0.985087i | \(-0.555041\pi\) |
0.439823 | + | 0.898084i | \(0.355041\pi\) | |||||||
\(332\) | 12.3187 | − | 1.95109i | 0.676076 | − | 0.107080i | ||||
\(333\) | −0.313522 | − | 1.97950i | −0.0171809 | − | 0.108476i | ||||
\(334\) | 4.64463 | − | 3.37452i | 0.254143 | − | 0.184646i | ||||
\(335\) | −28.0387 | + | 0.221819i | −1.53192 | + | 0.0121193i | ||||
\(336\) | 1.94481i | 0.106098i | ||||||||
\(337\) | −5.22000 | + | 32.9578i | −0.284351 | + | 1.79532i | 0.269809 | + | 0.962914i | \(0.413039\pi\) |
−0.554161 | + | 0.832410i | \(0.686961\pi\) | |||||||
\(338\) | −7.37531 | − | 14.4749i | −0.401164 | − | 0.787328i | ||||
\(339\) | 1.88461 | + | 5.80022i | 0.102358 | + | 0.315025i | ||||
\(340\) | 1.13656 | − | 0.00899152i | 0.0616386 | − | 0.000487634i | ||||
\(341\) | 3.14194 | − | 4.56702i | 0.170145 | − | 0.247318i | ||||
\(342\) | 3.30370 | + | 3.30370i | 0.178644 | + | 0.178644i | ||||
\(343\) | 17.7057 | + | 9.02148i | 0.956015 | + | 0.487114i | ||||
\(344\) | 0.994404 | − | 3.06046i | 0.0536147 | − | 0.165009i | ||||
\(345\) | 18.3697 | + | 2.76069i | 0.988991 | + | 0.148631i | ||||
\(346\) | −11.1404 | −0.598909 | ||||||||
\(347\) | 15.7258 | − | 15.7258i | 0.844208 | − | 0.844208i | −0.145195 | − | 0.989403i | \(-0.546381\pi\) |
0.989403 | + | 0.145195i | \(0.0463810\pi\) | |||||||
\(348\) | 0.182762 | − | 1.15392i | 0.00979709 | − | 0.0618564i | ||||
\(349\) | 8.46646 | − | 11.6531i | 0.453199 | − | 0.623775i | −0.519882 | − | 0.854238i | \(-0.674024\pi\) |
0.973081 | + | 0.230463i | \(0.0740241\pi\) | |||||||
\(350\) | 7.95638 | + | 5.59048i | 0.425286 | + | 0.298824i | ||||
\(351\) | −1.67114 | − | 5.14323i | −0.0891987 | − | 0.274525i | ||||
\(352\) | 0.155750 | − | 0.983368i | 0.00830152 | − | 0.0524137i | ||||
\(353\) | 8.62611 | − | 16.9297i | 0.459121 | − | 0.901077i | −0.539145 | − | 0.842213i | \(-0.681252\pi\) |
0.998266 | − | 0.0588634i | \(-0.0187476\pi\) | |||||||
\(354\) | 2.59248 | − | 7.97882i | 0.137789 | − | 0.424069i | ||||
\(355\) | 15.4259 | − | 2.56848i | 0.818723 | − | 0.136321i | ||||
\(356\) | −11.9693 | − | 3.88906i | −0.634371 | − | 0.206120i | ||||
\(357\) | −0.880804 | + | 0.448792i | −0.0466171 | + | 0.0237526i | ||||
\(358\) | 1.08649 | + | 6.85982i | 0.0574227 | + | 0.362553i | ||||
\(359\) | 19.5957 | + | 6.36702i | 1.03422 | + | 0.336039i | 0.776457 | − | 0.630170i | \(-0.217015\pi\) |
0.257763 | + | 0.966208i | \(0.417015\pi\) | |||||||
\(360\) | 0.707785 | + | 2.12109i | 0.0373035 | + | 0.111791i | ||||
\(361\) | 2.28861 | − | 1.66278i | 0.120453 | − | 0.0875145i | ||||
\(362\) | 7.50276 | + | 3.82285i | 0.394336 | + | 0.200924i | ||||
\(363\) | 1.56571 | + | 9.88550i | 0.0821785 | + | 0.518854i | ||||
\(364\) | −8.50873 | − | 6.18196i | −0.445979 | − | 0.324023i | ||||
\(365\) | −18.8426 | + | 13.9190i | −0.986266 | + | 0.728554i | ||||
\(366\) | 7.41552 | 0.387615 | ||||||||
\(367\) | 12.9035 | − | 12.9035i | 0.673555 | − | 0.673555i | −0.284979 | − | 0.958534i | \(-0.591987\pi\) |
0.958534 | + | 0.284979i | \(0.0919866\pi\) | |||||||
\(368\) | 8.20515 | + | 1.29957i | 0.427723 | + | 0.0677447i | ||||
\(369\) | 11.9439 | + | 3.88080i | 0.621774 | + | 0.202027i | ||||
\(370\) | −4.00899 | − | 2.00289i | −0.208417 | − | 0.104125i | ||||
\(371\) | 20.3792i | 1.05804i | ||||||||
\(372\) | −0.729292 | + | 5.51979i | −0.0378121 | + | 0.286188i | ||||
\(373\) | −3.86150 | + | 3.86150i | −0.199941 | + | 0.199941i | −0.799975 | − | 0.600034i | \(-0.795154\pi\) |
0.600034 | + | 0.799975i | \(0.295154\pi\) | |||||||
\(374\) | 0.481308 | − | 0.156387i | 0.0248879 | − | 0.00808656i | ||||
\(375\) | 10.7121 | + | 3.20161i | 0.553172 | + | 0.165330i | ||||
\(376\) | 8.38169 | − | 6.08965i | 0.432252 | − | 0.314050i | ||||
\(377\) | 4.46754 | + | 4.46754i | 0.230090 | + | 0.230090i | ||||
\(378\) | −1.37519 | − | 1.37519i | −0.0707321 | − | 0.0707321i | ||||
\(379\) | 8.42501 | + | 11.5960i | 0.432764 | + | 0.595648i | 0.968585 | − | 0.248683i | \(-0.0799978\pi\) |
−0.535821 | + | 0.844332i | \(0.679998\pi\) | |||||||
\(380\) | 10.3053 | − | 1.71588i | 0.528653 | − | 0.0880230i | ||||
\(381\) | −4.00459 | − | 2.90950i | −0.205161 | − | 0.149058i | ||||
\(382\) | −1.97685 | + | 3.87979i | −0.101144 | + | 0.198507i | ||||
\(383\) | 0.164037 | + | 0.0259809i | 0.00838190 | + | 0.00132756i | 0.160624 | − | 0.987016i | \(-0.448649\pi\) |
−0.152242 | + | 0.988343i | \(0.548649\pi\) | |||||||
\(384\) | 0.309017 | + | 0.951057i | 0.0157695 | + | 0.0485334i | ||||
\(385\) | 4.12826 | + | 1.30534i | 0.210395 | + | 0.0665261i | ||||
\(386\) | 3.20700 | + | 2.33002i | 0.163232 | + | 0.118595i | ||||
\(387\) | 1.46092 | + | 2.86722i | 0.0742629 | + | 0.145749i | ||||
\(388\) | −8.09366 | − | 15.8847i | −0.410893 | − | 0.806423i | ||||
\(389\) | 23.0939 | + | 16.7787i | 1.17091 | + | 0.850713i | 0.991117 | − | 0.132992i | \(-0.0424585\pi\) |
0.179789 | + | 0.983705i | \(0.442459\pi\) | |||||||
\(390\) | −11.5298 | − | 3.64568i | −0.583835 | − | 0.184606i | ||||
\(391\) | 1.30488 | + | 4.01600i | 0.0659905 | + | 0.203098i | ||||
\(392\) | 3.17809 | + | 0.503360i | 0.160518 | + | 0.0254235i | ||||
\(393\) | −4.16949 | + | 8.18309i | −0.210323 | + | 0.412782i | ||||
\(394\) | −16.5629 | − | 12.0337i | −0.834428 | − | 0.606247i | ||||
\(395\) | −27.1687 | + | 4.52370i | −1.36700 | + | 0.227612i | ||||
\(396\) | 0.585214 | + | 0.805478i | 0.0294081 | + | 0.0404768i | ||||
\(397\) | −4.17525 | − | 4.17525i | −0.209550 | − | 0.209550i | 0.594526 | − | 0.804076i | \(-0.297340\pi\) |
−0.804076 | + | 0.594526i | \(0.797340\pi\) | |||||||
\(398\) | −8.43579 | − | 8.43579i | −0.422848 | − | 0.422848i | ||||
\(399\) | −7.35108 | + | 5.34087i | −0.368014 | + | 0.267378i | ||||
\(400\) | 4.77913 | + | 1.46966i | 0.238957 | + | 0.0734828i | ||||
\(401\) | −2.36226 | + | 0.767546i | −0.117966 | + | 0.0383294i | −0.367405 | − | 0.930061i | \(-0.619754\pi\) |
0.249439 | + | 0.968390i | \(0.419754\pi\) | |||||||
\(402\) | 8.86689 | − | 8.86689i | 0.442240 | − | 0.442240i | ||||
\(403\) | −21.8314 | − | 20.7364i | −1.08750 | − | 1.03296i | ||||
\(404\) | − | 4.54310i | − | 0.226028i | ||||||
\(405\) | −2.00032 | − | 0.999361i | −0.0993967 | − | 0.0496586i | ||||
\(406\) | 2.16092 | + | 0.702125i | 0.107245 | + | 0.0348459i | ||||
\(407\) | −1.97084 | − | 0.312151i | −0.0976910 | − | 0.0154727i | ||||
\(408\) | −0.359423 | + | 0.359423i | −0.0177941 | + | 0.0177941i | ||||
\(409\) | −25.6015 | −1.26591 | −0.632956 | − | 0.774188i | \(-0.718159\pi\) | ||||
−0.632956 | + | 0.774188i | \(0.718159\pi\) | |||||||
\(410\) | 22.5873 | − | 16.6853i | 1.11551 | − | 0.824026i | ||||
\(411\) | 2.30817 | + | 1.67699i | 0.113854 | + | 0.0827196i | ||||
\(412\) | −0.277400 | − | 1.75143i | −0.0136665 | − | 0.0862869i | ||||
\(413\) | 14.5375 | + | 7.40725i | 0.715346 | + | 0.364487i | ||||
\(414\) | −6.72085 | + | 4.88299i | −0.330312 | + | 0.239986i | ||||
\(415\) | 8.82766 | + | 26.4548i | 0.433333 | + | 1.29861i | ||||
\(416\) | −5.14323 | − | 1.67114i | −0.252168 | − | 0.0819342i | ||||
\(417\) | 3.20214 | + | 20.2175i | 0.156810 | + | 0.990057i | ||||
\(418\) | 4.14470 | − | 2.11183i | 0.202724 | − | 0.103293i | ||||
\(419\) | −27.7335 | − | 9.01115i | −1.35487 | − | 0.440224i | −0.460542 | − | 0.887638i | \(-0.652345\pi\) |
−0.894327 | + | 0.447414i | \(0.852345\pi\) | |||||||
\(420\) | −4.28968 | + | 0.714249i | −0.209315 | + | 0.0348518i | ||||
\(421\) | −2.05309 | + | 6.31876i | −0.100061 | + | 0.307957i | −0.988540 | − | 0.150961i | \(-0.951763\pi\) |
0.888478 | + | 0.458919i | \(0.151763\pi\) | |||||||
\(422\) | 6.01165 | − | 11.7985i | 0.292642 | − | 0.574343i | ||||
\(423\) | −1.62071 | + | 10.2328i | −0.0788018 | + | 0.497535i | ||||
\(424\) | 3.23812 | + | 9.96590i | 0.157257 | + | 0.483987i | ||||
\(425\) | 0.437244 | + | 2.50361i | 0.0212094 | + | 0.121443i | ||||
\(426\) | −4.11077 | + | 5.65799i | −0.199167 | + | 0.274130i | ||||
\(427\) | −2.25607 | + | 14.2442i | −0.109179 | + | 0.689327i | ||||
\(428\) | 0.752696 | − | 0.752696i | 0.0363829 | − | 0.0363829i | ||||
\(429\) | −5.38426 | −0.259954 | ||||||||
\(430\) | 7.11567 | + | 1.06938i | 0.343148 | + | 0.0515700i | ||||
\(431\) | −1.59895 | + | 4.92107i | −0.0770188 | + | 0.237040i | −0.982152 | − | 0.188088i | \(-0.939771\pi\) |
0.905133 | + | 0.425128i | \(0.139771\pi\) | |||||||
\(432\) | −0.891007 | − | 0.453990i | −0.0428686 | − | 0.0218426i | ||||
\(433\) | 26.0219 | + | 26.0219i | 1.25053 | + | 1.25053i | 0.955481 | + | 0.295051i | \(0.0953367\pi\) |
0.295051 | + | 0.955481i | \(0.404663\pi\) | |||||||
\(434\) | −10.3809 | − | 3.08019i | −0.498300 | − | 0.147854i | ||||
\(435\) | 2.61232 | − | 0.0206665i | 0.125251 | − | 0.000990882i | ||||
\(436\) | −5.78886 | − | 17.8163i | −0.277236 | − | 0.853245i | ||||
\(437\) | 17.6210 | + | 34.5831i | 0.842924 | + | 1.65433i | ||||
\(438\) | 1.63888 | − | 10.3475i | 0.0783087 | − | 0.494422i | ||||
\(439\) | − | 10.5738i | − | 0.504658i | −0.967642 | − | 0.252329i | \(-0.918804\pi\) | ||
0.967642 | − | 0.252329i | \(-0.0811965\pi\) | |||||||
\(440\) | 2.22622 | − | 0.0176120i | 0.106131 | − | 0.000839619i | ||||
\(441\) | −2.60318 | + | 1.89132i | −0.123961 | + | 0.0900628i | ||||
\(442\) | −0.430014 | − | 2.71500i | −0.0204537 | − | 0.129139i | ||||
\(443\) | −23.9721 | + | 3.79681i | −1.13895 | + | 0.180392i | −0.697289 | − | 0.716790i | \(-0.745611\pi\) |
−0.441661 | + | 0.897182i | \(0.645611\pi\) | |||||||
\(444\) | 1.90608 | − | 0.619324i | 0.0904587 | − | 0.0293918i | ||||
\(445\) | 4.18228 | − | 27.8290i | 0.198259 | − | 1.31922i | ||||
\(446\) | −11.4892 | + | 3.73306i | −0.544028 | + | 0.176765i | ||||
\(447\) | −5.60226 | − | 10.9951i | −0.264978 | − | 0.520048i | ||||
\(448\) | −1.92087 | + | 0.304236i | −0.0907525 | + | 0.0143738i | ||||
\(449\) | 1.32823 | − | 4.08787i | 0.0626830 | − | 0.192918i | −0.914811 | − | 0.403883i | \(-0.867660\pi\) |
0.977494 | + | 0.210964i | \(0.0676604\pi\) | |||||||
\(450\) | −4.41856 | + | 2.34015i | −0.208293 | + | 0.110316i | ||||
\(451\) | 7.34944 | − | 10.1156i | 0.346072 | − | 0.476327i | ||||
\(452\) | −5.43400 | + | 2.76876i | −0.255594 | + | 0.130231i | ||||
\(453\) | 10.0868 | + | 5.13949i | 0.473920 | + | 0.241474i | ||||
\(454\) | 9.99953 | + | 13.7632i | 0.469301 | + | 0.645938i | ||||
\(455\) | 10.5106 | − | 21.0381i | 0.492747 | − | 0.986282i | ||||
\(456\) | −2.74621 | + | 3.77984i | −0.128603 | + | 0.177007i | ||||
\(457\) | −28.4430 | + | 4.50493i | −1.33051 | + | 0.210732i | −0.780881 | − | 0.624680i | \(-0.785230\pi\) |
−0.549626 | + | 0.835411i | \(0.685230\pi\) | |||||||
\(458\) | 8.68886 | + | 1.37618i | 0.406004 | + | 0.0643047i | ||||
\(459\) | − | 0.508301i | − | 0.0237254i | ||||||
\(460\) | 0.146953 | + | 18.5754i | 0.00685173 | + | 0.866083i | ||||
\(461\) | −17.3589 | − | 23.8925i | −0.808485 | − | 1.11278i | −0.991555 | − | 0.129684i | \(-0.958604\pi\) |
0.183071 | − | 0.983100i | \(-0.441396\pi\) | |||||||
\(462\) | −1.72526 | + | 0.879065i | −0.0802664 | + | 0.0408978i | ||||
\(463\) | −2.06069 | + | 4.04434i | −0.0957686 | + | 0.187956i | −0.933921 | − | 0.357480i | \(-0.883636\pi\) |
0.838152 | + | 0.545436i | \(0.183636\pi\) | |||||||
\(464\) | 1.16830 | 0.0542370 | ||||||||
\(465\) | −12.4429 | + | 0.418591i | −0.577024 | + | 0.0194117i | ||||
\(466\) | 15.8531 | 0.734380 | ||||||||
\(467\) | 5.65336 | − | 11.0953i | 0.261606 | − | 0.513431i | −0.722420 | − | 0.691454i | \(-0.756970\pi\) |
0.984026 | + | 0.178023i | \(0.0569703\pi\) | |||||||
\(468\) | 4.81848 | − | 2.45514i | 0.222735 | − | 0.113489i | ||||
\(469\) | 14.3345 | + | 19.7297i | 0.661906 | + | 0.911035i | ||||
\(470\) | 16.5102 | + | 16.2510i | 0.761559 | + | 0.749604i | ||||
\(471\) | 16.2687i | 0.749622i | ||||||||
\(472\) | 8.28614 | + | 1.31240i | 0.381401 | + | 0.0604079i | ||||
\(473\) | 3.16444 | − | 0.501198i | 0.145501 | − | 0.0230451i | ||||
\(474\) | 7.24003 | − | 9.96505i | 0.332546 | − | 0.457710i | ||||
\(475\) | 7.56946 | + | 22.1003i | 0.347310 | + | 1.01403i | ||||
\(476\) | −0.581055 | − | 0.799753i | −0.0266326 | − | 0.0366566i | ||||
\(477\) | −9.33665 | − | 4.75726i | −0.427496 | − | 0.217820i | ||||
\(478\) | 1.95309 | − | 0.995149i | 0.0893323 | − | 0.0455171i | ||||
\(479\) | −22.5157 | + | 30.9902i | −1.02877 | + | 1.41598i | −0.122899 | + | 0.992419i | \(0.539219\pi\) |
−0.905869 | + | 0.423559i | \(0.860781\pi\) | |||||||
\(480\) | −1.98426 | + | 1.03088i | −0.0905686 | + | 0.0470532i | ||||
\(481\) | −3.34925 | + | 10.3079i | −0.152713 | + | 0.470001i | ||||
\(482\) | −16.4706 | + | 2.60868i | −0.750213 | + | 0.118822i | ||||
\(483\) | −7.33485 | − | 14.3955i | −0.333747 | − | 0.655016i | ||||
\(484\) | −9.51887 | + | 3.09287i | −0.432676 | + | 0.140585i | ||||
\(485\) | 32.0644 | − | 23.6860i | 1.45597 | − | 1.07553i | ||||
\(486\) | 0.951057 | − | 0.309017i | 0.0431408 | − | 0.0140173i | ||||
\(487\) | 1.54489 | − | 0.244687i | 0.0700058 | − | 0.0110878i | −0.121333 | − | 0.992612i | \(-0.538717\pi\) |
0.191339 | + | 0.981524i | \(0.438717\pi\) | |||||||
\(488\) | 1.16004 | + | 7.32422i | 0.0525127 | + | 0.331552i | ||||
\(489\) | 2.02918 | − | 1.47429i | 0.0917628 | − | 0.0666696i | ||||
\(490\) | 0.0569192 | + | 7.19478i | 0.00257135 | + | 0.325027i | ||||
\(491\) | 32.3023i | 1.45778i | 0.684628 | + | 0.728892i | \(0.259964\pi\) | ||||
−0.684628 | + | 0.728892i | \(0.740036\pi\) | |||||||
\(492\) | −1.96459 | + | 12.4039i | −0.0885705 | + | 0.559212i | ||||
\(493\) | 0.269601 | + | 0.529122i | 0.0121422 | + | 0.0238305i | ||||
\(494\) | −7.80778 | − | 24.0299i | −0.351289 | − | 1.08116i | ||||
\(495\) | −1.56172 | + | 1.58663i | −0.0701941 | + | 0.0713136i | ||||
\(496\) | −5.56592 | + | 0.143173i | −0.249917 | + | 0.00642864i | ||||
\(497\) | −9.61761 | − | 9.61761i | −0.431409 | − | 0.431409i | ||||
\(498\) | −11.1128 | − | 5.66228i | −0.497978 | − | 0.253733i | ||||
\(499\) | −9.30117 | + | 28.6261i | −0.416378 | + | 1.28148i | 0.494635 | + | 0.869101i | \(0.335302\pi\) |
−0.911013 | + | 0.412378i | \(0.864698\pi\) | |||||||
\(500\) | −1.48645 | + | 11.0811i | −0.0664759 | + | 0.495561i | ||||
\(501\) | −5.74108 | −0.256493 | ||||||||
\(502\) | −12.1731 | + | 12.1731i | −0.543313 | + | 0.543313i | ||||
\(503\) | −4.43144 | + | 27.9790i | −0.197588 | + | 1.24752i | 0.667007 | + | 0.745052i | \(0.267575\pi\) |
−0.864595 | + | 0.502470i | \(0.832425\pi\) | |||||||
\(504\) | 1.14313 | − | 1.57339i | 0.0509191 | − | 0.0700842i | ||||
\(505\) | 10.0207 | − | 1.66849i | 0.445917 | − | 0.0742470i | ||||
\(506\) | 2.55591 | + | 7.86628i | 0.113624 | + | 0.349699i | ||||
\(507\) | −2.54136 | + | 16.0455i | −0.112866 | + | 0.712606i | ||||
\(508\) | 2.24723 | − | 4.41043i | 0.0997046 | − | 0.195681i | ||||
\(509\) | 5.20974 | − | 16.0339i | 0.230918 | − | 0.710692i | −0.766719 | − | 0.641983i | \(-0.778112\pi\) |
0.997637 | − | 0.0687091i | \(-0.0218880\pi\) | |||||||
\(510\) | −0.924781 | − | 0.660779i | −0.0409500 | − | 0.0292598i | ||||
\(511\) | 19.3775 | + | 6.29615i | 0.857212 | + | 0.278525i | ||||
\(512\) | −0.891007 | + | 0.453990i | −0.0393773 | + | 0.0200637i | ||||
\(513\) | −0.730884 | − | 4.61462i | −0.0322693 | − | 0.203740i | ||||
\(514\) | 1.10562 | + | 0.359239i | 0.0487669 | + | 0.0158453i | ||||
\(515\) | 3.76126 | − | 1.25509i | 0.165741 | − | 0.0553059i | ||||
\(516\) | −2.60338 | + | 1.89147i | −0.114608 | + | 0.0832673i | ||||
\(517\) | 9.19075 | + | 4.68292i | 0.404209 | + | 0.205955i | ||||
\(518\) | 0.609741 | + | 3.84975i | 0.0267905 | + | 0.169149i | ||||
\(519\) | 9.01274 | + | 6.54814i | 0.395615 | + | 0.287431i | ||||
\(520\) | 1.79713 | − | 11.9582i | 0.0788095 | − | 0.524400i | ||||
\(521\) | 28.8469 | 1.26381 | 0.631904 | − | 0.775047i | \(-0.282274\pi\) | ||||
0.631904 | + | 0.775047i | \(0.282274\pi\) | |||||||
\(522\) | −0.826113 | + | 0.826113i | −0.0361580 | + | 0.0361580i | ||||
\(523\) | 7.34571 | + | 1.16345i | 0.321205 | + | 0.0508739i | 0.314955 | − | 0.949107i | \(-0.398010\pi\) |
0.00625019 | + | 0.999980i | \(0.498010\pi\) | |||||||
\(524\) | −8.73459 | − | 2.83804i | −0.381572 | − | 0.123980i | ||||
\(525\) | −3.15084 | − | 9.19943i | −0.137514 | − | 0.401496i | ||||
\(526\) | − | 18.3614i | − | 0.800597i | ||||||
\(527\) | −1.34926 | − | 2.48776i | −0.0587745 | − | 0.108369i | ||||
\(528\) | −0.704014 | + | 0.704014i | −0.0306383 | + | 0.0306383i | ||||
\(529\) | −43.7614 | + | 14.2189i | −1.90267 | + | 0.618215i | ||||
\(530\) | −20.7926 | + | 10.8024i | −0.903172 | + | 0.469226i | ||||
\(531\) | −6.78719 | + | 4.93118i | −0.294539 | + | 0.213995i | ||||
\(532\) | −6.42508 | − | 6.42508i | −0.278562 | − | 0.278562i | ||||
\(533\) | −48.0235 | − | 48.0235i | −2.08013 | − | 2.08013i | ||||
\(534\) | 7.39743 | + | 10.1817i | 0.320118 | + | 0.440605i | ||||
\(535\) | 1.93666 | + | 1.38379i | 0.0837290 | + | 0.0598264i | ||||
\(536\) | 10.1448 | + | 7.37063i | 0.438189 | + | 0.318363i | ||||
\(537\) | 3.15311 | − | 6.18833i | 0.136067 | − | 0.267046i | ||||
\(538\) | 15.0758 | + | 2.38777i | 0.649962 | + | 0.102944i | ||||
\(539\) | 0.989977 | + | 3.04683i | 0.0426413 | + | 0.131236i | ||||
\(540\) | 0.674138 | − | 2.13203i | 0.0290103 | − | 0.0917478i | ||||
\(541\) | −9.15068 | − | 6.64836i | −0.393419 | − | 0.285835i | 0.373436 | − | 0.927656i | \(-0.378179\pi\) |
−0.766855 | + | 0.641820i | \(0.778179\pi\) | |||||||
\(542\) | −4.35467 | − | 8.54652i | −0.187049 | − | 0.367104i | ||||
\(543\) | −3.82285 | − | 7.50276i | −0.164054 | − | 0.321974i | ||||
\(544\) | −0.411224 | − | 0.298772i | −0.0176311 | − | 0.0128097i | ||||
\(545\) | 37.1714 | − | 19.3117i | 1.59225 | − | 0.827221i | ||||
\(546\) | 3.25005 | + | 10.0026i | 0.139089 | + | 0.428072i | ||||
\(547\) | −2.43610 | − | 0.385841i | −0.104160 | − | 0.0164974i | 0.104137 | − | 0.994563i | \(-0.466792\pi\) |
−0.208297 | + | 0.978066i | \(0.566792\pi\) | |||||||
\(548\) | −1.29526 | + | 2.54209i | −0.0553308 | + | 0.108593i | ||||
\(549\) | −5.99928 | − | 4.35873i | −0.256043 | − | 0.186026i | ||||
\(550\) | 0.856445 | + | 4.90391i | 0.0365189 | + | 0.209103i | ||||
\(551\) | 3.20840 | + | 4.41599i | 0.136683 | + | 0.188127i | ||||
\(552\) | −5.87424 | − | 5.87424i | −0.250024 | − | 0.250024i | ||||
\(553\) | 16.9389 | + | 16.9389i | 0.720314 | + | 0.720314i | ||||
\(554\) | −20.1365 | + | 14.6300i | −0.855519 | + | 0.621571i | ||||
\(555\) | 2.06607 | + | 3.97680i | 0.0876998 | + | 0.168806i | ||||
\(556\) | −19.4677 | + | 6.32544i | −0.825614 | + | 0.268258i | ||||
\(557\) | 1.88508 | − | 1.88508i | 0.0798735 | − | 0.0798735i | −0.666041 | − | 0.745915i | \(-0.732013\pi\) |
0.745915 | + | 0.666041i | \(0.232013\pi\) | |||||||
\(558\) | 3.83446 | − | 4.03694i | 0.162326 | − | 0.170897i | ||||
\(559\) | − | 17.4024i | − | 0.736045i | ||||||
\(560\) | −1.37651 | − | 4.12513i | −0.0581681 | − | 0.174319i | ||||
\(561\) | −0.481308 | − | 0.156387i | −0.0203209 | − | 0.00660265i | ||||
\(562\) | −7.84630 | − | 1.24273i | −0.330976 | − | 0.0524215i | ||||
\(563\) | 13.9517 | − | 13.9517i | 0.587993 | − | 0.587993i | −0.349095 | − | 0.937087i | \(-0.613511\pi\) |
0.937087 | + | 0.349095i | \(0.113511\pi\) | |||||||
\(564\) | −10.3603 | −0.436249 | ||||||||
\(565\) | −8.10274 | − | 10.9689i | −0.340885 | − | 0.461466i | ||||
\(566\) | −8.57632 | − | 6.23106i | −0.360490 | − | 0.261911i | ||||
\(567\) | 0.304236 | + | 1.92087i | 0.0127767 | + | 0.0806689i | ||||
\(568\) | −6.23140 | − | 3.17505i | −0.261464 | − | 0.133222i | ||||
\(569\) | 2.67617 | − | 1.94435i | 0.112191 | − | 0.0815114i | −0.530275 | − | 0.847826i | \(-0.677911\pi\) |
0.642466 | + | 0.766314i | \(0.277911\pi\) | |||||||
\(570\) | −9.34577 | − | 4.66915i | −0.391451 | − | 0.195569i | ||||
\(571\) | −31.4842 | − | 10.2298i | −1.31757 | − | 0.428105i | −0.435912 | − | 0.899989i | \(-0.643574\pi\) |
−0.881661 | + | 0.471884i | \(0.843574\pi\) | |||||||
\(572\) | −0.842284 | − | 5.31797i | −0.0352176 | − | 0.222355i | ||||
\(573\) | 3.87979 | − | 1.97685i | 0.162080 | − | 0.0825841i | ||||
\(574\) | −23.2286 | − | 7.54744i | −0.969544 | − | 0.315024i | ||||
\(575\) | −40.9178 | + | 7.14611i | −1.70639 | + | 0.298014i | ||||
\(576\) | 0.309017 | − | 0.951057i | 0.0128757 | − | 0.0396274i | ||||
\(577\) | 5.24526 | − | 10.2944i | 0.218363 | − | 0.428561i | −0.755675 | − | 0.654947i | \(-0.772691\pi\) |
0.974038 | + | 0.226386i | \(0.0726910\pi\) | |||||||
\(578\) | −2.61897 | + | 16.5355i | −0.108935 | + | 0.687787i | ||||
\(579\) | −1.22496 | − | 3.77005i | −0.0509077 | − | 0.156678i | ||||
\(580\) | 0.429068 | + | 2.57692i | 0.0178161 | + | 0.107001i | ||||
\(581\) | 14.2574 | − | 19.6236i | 0.591497 | − | 0.814126i | ||||
\(582\) | −2.78888 | + | 17.6083i | −0.115603 | + | 0.729888i | ||||
\(583\) | −7.37720 | + | 7.37720i | −0.305532 | + | 0.305532i | ||||
\(584\) | 10.4765 | 0.433519 | ||||||||
\(585\) | 7.18494 | + | 9.72647i | 0.297061 | + | 0.402140i | ||||
\(586\) | −8.35885 | + | 25.7259i | −0.345301 | + | 1.06273i | ||||
\(587\) | −8.42802 | − | 4.29429i | −0.347862 | − | 0.177244i | 0.271326 | − | 0.962488i | \(-0.412538\pi\) |
−0.619187 | + | 0.785243i | \(0.712538\pi\) | |||||||
\(588\) | −2.27526 | − | 2.27526i | −0.0938302 | − | 0.0938302i | ||||
\(589\) | −15.8264 | − | 20.6451i | −0.652115 | − | 0.850667i | ||||
\(590\) | 0.148404 | + | 18.7587i | 0.00610968 | + | 0.772285i | ||||
\(591\) | 6.32647 | + | 19.4709i | 0.260236 | + | 0.800925i | ||||
\(592\) | 0.909876 | + | 1.78573i | 0.0373957 | + | 0.0733931i | ||||
\(593\) | −3.77528 | + | 23.8362i | −0.155032 | + | 0.978836i | 0.780387 | + | 0.625296i | \(0.215022\pi\) |
−0.935420 | + | 0.353539i | \(0.884978\pi\) | |||||||
\(594\) | − | 0.995626i | − | 0.0408510i | ||||||
\(595\) | 1.55062 | − | 1.57535i | 0.0635692 | − | 0.0645831i | ||||
\(596\) | 9.98330 | − | 7.25329i | 0.408932 | − | 0.297106i | ||||
\(597\) | 1.86626 | + | 11.7831i | 0.0763811 | + | 0.482251i | ||||
\(598\) | 44.3728 | − | 7.02795i | 1.81454 | − | 0.287394i | ||||
\(599\) | −19.3177 | + | 6.27671i | −0.789301 | + | 0.256459i | −0.675806 | − | 0.737079i | \(-0.736204\pi\) |
−0.113494 | + | 0.993539i | \(0.536204\pi\) | |||||||
\(600\) | −3.00256 | − | 3.99808i | −0.122579 | − | 0.163221i | ||||
\(601\) | −6.87381 | + | 2.23344i | −0.280389 | + | 0.0911038i | −0.445835 | − | 0.895115i | \(-0.647093\pi\) |
0.165447 | + | 0.986219i | \(0.447093\pi\) | |||||||
\(602\) | −2.84122 | − | 5.57621i | −0.115800 | − | 0.227269i | ||||
\(603\) | −12.3853 | + | 1.96164i | −0.504368 | + | 0.0798840i | ||||
\(604\) | −3.49829 | + | 10.7666i | −0.142343 | + | 0.438087i | ||||
\(605\) | −10.3178 | − | 19.8599i | −0.419479 | − | 0.807420i | ||||
\(606\) | −2.67037 | + | 3.67545i | −0.108476 | + | 0.149305i | ||||
\(607\) | 31.4550 | − | 16.0271i | 1.27672 | − | 0.650520i | 0.321636 | − | 0.946863i | \(-0.395767\pi\) |
0.955081 | + | 0.296343i | \(0.0957673\pi\) | |||||||
\(608\) | −4.16291 | − | 2.12111i | −0.168828 | − | 0.0860222i | ||||
\(609\) | −1.33552 | − | 1.83819i | −0.0541180 | − | 0.0744871i | ||||
\(610\) | −15.7290 | + | 5.24859i | −0.636849 | + | 0.212509i | ||||
\(611\) | 32.9323 | − | 45.3274i | 1.33230 | − | 1.83375i | ||||
\(612\) | 0.502043 | − | 0.0795158i | 0.0202939 | − | 0.00321423i | ||||
\(613\) | 13.8939 | + | 2.20058i | 0.561170 | + | 0.0888806i | 0.430574 | − | 0.902555i | \(-0.358311\pi\) |
0.130596 | + | 0.991436i | \(0.458311\pi\) | |||||||
\(614\) | 22.1767i | 0.894977i | ||||||||
\(615\) | −28.0809 | + | 0.222153i | −1.13233 | + | 0.00895806i | ||||
\(616\) | −1.13813 | − | 1.56650i | −0.0458566 | − | 0.0631163i | ||||
\(617\) | 26.0103 | − | 13.2529i | 1.04714 | − | 0.533542i | 0.156225 | − | 0.987722i | \(-0.450068\pi\) |
0.890910 | + | 0.454180i | \(0.150068\pi\) | |||||||
\(618\) | −0.805045 | + | 1.57999i | −0.0323837 | + | 0.0635565i | ||||
\(619\) | −33.6351 | −1.35191 | −0.675955 | − | 0.736943i | \(-0.736269\pi\) | ||||
−0.675955 | + | 0.736943i | \(0.736269\pi\) | |||||||
\(620\) | −2.35993 | − | 12.2242i | −0.0947771 | − | 0.490935i | ||||
\(621\) | 8.30743 | 0.333366 | ||||||||
\(622\) | 6.44860 | − | 12.6561i | 0.258565 | − | 0.507463i | ||||
\(623\) | −21.8083 | + | 11.1119i | −0.873729 | + | 0.445187i | ||||
\(624\) | 3.17869 | + | 4.37509i | 0.127249 | + | 0.175144i | ||||
\(625\) | −24.9875 | + | 0.790969i | −0.999499 | + | 0.0316388i | ||||
\(626\) | 8.86566i | 0.354343i | ||||||||
\(627\) | −4.59443 | − | 0.727687i | −0.183484 | − | 0.0290610i | ||||
\(628\) | −16.0684 | + | 2.54499i | −0.641199 | + | 0.101556i | ||||
\(629\) | −0.598790 | + | 0.824164i | −0.0238753 | + | 0.0328616i | ||||
\(630\) | 3.89025 | + | 1.94357i | 0.154991 | + | 0.0774336i | ||||
\(631\) | −17.9803 | − | 24.7478i | −0.715784 | − | 0.985193i | −0.999653 | − | 0.0263295i | \(-0.991618\pi\) |
0.283869 | − | 0.958863i | \(-0.408382\pi\) | |||||||
\(632\) | 10.9750 | + | 5.59202i | 0.436560 | + | 0.222438i | ||||
\(633\) | −11.7985 | + | 6.01165i | −0.468949 | + | 0.238942i | ||||
\(634\) | −14.3347 | + | 19.7300i | −0.569304 | + | 0.783580i | ||||
\(635\) | 10.5534 | + | 3.33694i | 0.418800 | + | 0.132423i | ||||
\(636\) | 3.23812 | − | 9.96590i | 0.128400 | − | 0.395174i | ||||
\(637\) | 17.1868 | − | 2.72213i | 0.680967 | − | 0.107855i | ||||
\(638\) | 0.528077 | + | 1.03641i | 0.0209068 | + | 0.0410319i | ||||
\(639\) | 6.65137 | − | 2.16116i | 0.263124 | − | 0.0854941i | ||||
\(640\) | −1.32860 | − | 1.79856i | −0.0525174 | − | 0.0710944i | ||||
\(641\) | 6.55693 | − | 2.13048i | 0.258983 | − | 0.0841487i | −0.176648 | − | 0.984274i | \(-0.556525\pi\) |
0.435631 | + | 0.900125i | \(0.356525\pi\) | |||||||
\(642\) | −1.05137 | + | 0.166520i | −0.0414941 | + | 0.00657203i | ||||
\(643\) | 3.36041 | + | 21.2168i | 0.132521 | + | 0.836708i | 0.960972 | + | 0.276646i | \(0.0892228\pi\) |
−0.828451 | + | 0.560062i | \(0.810777\pi\) | |||||||
\(644\) | 13.0708 | − | 9.49649i | 0.515062 | − | 0.374214i | ||||
\(645\) | −5.12813 | − | 5.04763i | −0.201920 | − | 0.198750i | ||||
\(646\) | − | 2.37485i | − | 0.0934373i | ||||||
\(647\) | 1.61687 | − | 10.2085i | 0.0635659 | − | 0.401339i | −0.935305 | − | 0.353841i | \(-0.884875\pi\) |
0.998871 | − | 0.0474979i | \(-0.0151247\pi\) | |||||||
\(648\) | 0.453990 | + | 0.891007i | 0.0178344 | + | 0.0350020i | ||||
\(649\) | 2.58114 | + | 7.94392i | 0.101318 | + | 0.311826i | ||||
\(650\) | 27.0362 | − | 0.427802i | 1.06045 | − | 0.0167798i | ||||
\(651\) | 6.58785 | + | 8.59368i | 0.258198 | + | 0.336813i | ||||
\(652\) | 1.77357 | + | 1.77357i | 0.0694584 | + | 0.0694584i | ||||
\(653\) | 24.2032 | + | 12.3322i | 0.947145 | + | 0.482594i | 0.858128 | − | 0.513436i | \(-0.171627\pi\) |
0.0890169 | + | 0.996030i | \(0.471627\pi\) | |||||||
\(654\) | −5.78886 | + | 17.8163i | −0.226362 | + | 0.696671i | ||||
\(655\) | 3.05202 | − | 20.3082i | 0.119252 | − | 0.793507i | ||||
\(656\) | −12.5585 | −0.490329 | ||||||||
\(657\) | −7.40798 | + | 7.40798i | −0.289013 | + | 0.289013i | ||||
\(658\) | 3.15198 | − | 19.9008i | 0.122877 | − | 0.775815i | ||||
\(659\) | 18.3122 | − | 25.2046i | 0.713342 | − | 0.981831i | −0.286377 | − | 0.958117i | \(-0.592451\pi\) |
0.999719 | − | 0.0237137i | \(-0.00754902\pi\) | |||||||
\(660\) | −1.81140 | − | 1.29429i | −0.0705087 | − | 0.0503802i | ||||
\(661\) | 3.53580 | + | 10.8821i | 0.137527 | + | 0.423263i | 0.995974 | − | 0.0896374i | \(-0.0285708\pi\) |
−0.858448 | + | 0.512901i | \(0.828571\pi\) | |||||||
\(662\) | 0.801304 | − | 5.05923i | 0.0311436 | − | 0.196633i | ||||
\(663\) | −1.24795 | + | 2.44924i | −0.0484663 | + | 0.0951206i | ||||
\(664\) | 3.85413 | − | 11.8618i | 0.149569 | − | 0.460327i | ||||
\(665\) | 11.8121 | − | 16.5315i | 0.458055 | − | 0.641063i | ||||
\(666\) | −1.90608 | − | 0.619324i | −0.0738592 | − | 0.0239983i | ||||
\(667\) | −8.64773 | + | 4.40624i | −0.334841 | + | 0.170610i | ||||
\(668\) | −0.898103 | − | 5.67040i | −0.0347486 | − | 0.219394i | ||||
\(669\) | 11.4892 | + | 3.73306i | 0.444197 | + | 0.144328i | ||||
\(670\) | −12.5317 | + | 25.0833i | −0.484140 | + | 0.969054i | ||||
\(671\) | −5.97304 | + | 4.33967i | −0.230587 | + | 0.167531i | ||||
\(672\) | 1.73284 | + | 0.882926i | 0.0668458 | + | 0.0340596i | ||||
\(673\) | −2.24323 | − | 14.1632i | −0.0864702 | − | 0.545951i | −0.992452 | − | 0.122635i | \(-0.960866\pi\) |
0.905982 | − | 0.423317i | \(-0.139134\pi\) | |||||||
\(674\) | 26.9958 | + | 19.6136i | 1.03984 | + | 0.755486i | ||||
\(675\) | 4.95020 | + | 0.703942i | 0.190533 | + | 0.0270947i | ||||
\(676\) | −16.2455 | −0.624827 | ||||||||
\(677\) | −10.6407 | + | 10.6407i | −0.408954 | + | 0.408954i | −0.881374 | − | 0.472419i | \(-0.843381\pi\) |
0.472419 | + | 0.881374i | \(0.343381\pi\) | |||||||
\(678\) | 6.02363 | + | 0.954049i | 0.231336 | + | 0.0366400i | ||||
\(679\) | −32.9748 | − | 10.7142i | −1.26546 | − | 0.411172i | ||||
\(680\) | 0.507976 | − | 1.01676i | 0.0194800 | − | 0.0389911i | ||||
\(681\) | − | 17.0122i | − | 0.651910i | ||||||
\(682\) | −2.64283 | − | 4.87287i | −0.101199 | − | 0.186592i | ||||
\(683\) | 20.7980 | − | 20.7980i | 0.795815 | − | 0.795815i | −0.186617 | − | 0.982433i | \(-0.559752\pi\) |
0.982433 | + | 0.186617i | \(0.0597525\pi\) | |||||||
\(684\) | 4.44347 | − | 1.44377i | 0.169900 | − | 0.0552039i | ||||
\(685\) | −6.08280 | − | 1.92335i | −0.232412 | − | 0.0734876i | ||||
\(686\) | 16.0764 | − | 11.6802i | 0.613800 | − | 0.445952i | ||||
\(687\) | −6.22054 | − | 6.22054i | −0.237328 | − | 0.237328i | ||||
\(688\) | −2.27544 | − | 2.27544i | −0.0867504 | − | 0.0867504i | ||||
\(689\) | 33.3088 | + | 45.8456i | 1.26896 | + | 1.74658i | ||||
\(690\) | 10.7995 | − | 15.1142i | 0.411128 | − | 0.575388i | ||||
\(691\) | −20.2852 | − | 14.7380i | −0.771685 | − | 0.560662i | 0.130787 | − | 0.991410i | \(-0.458250\pi\) |
−0.902472 | + | 0.430749i | \(0.858250\pi\) | |||||||
\(692\) | −5.05762 | + | 9.92613i | −0.192262 | + | 0.377335i | ||||
\(693\) | 1.91247 | + | 0.302905i | 0.0726486 | + | 0.0115064i | ||||
\(694\) | −6.87245 | − | 21.1512i | −0.260875 | − | 0.802889i | ||||
\(695\) | −21.1017 | − | 40.6169i | −0.800434 | − | 1.54069i | ||||
\(696\) | −0.945174 | − | 0.686709i | −0.0358267 | − | 0.0260297i | ||||
\(697\) | −2.89806 | − | 5.68776i | −0.109772 | − | 0.215439i | ||||
\(698\) | −6.53928 | − | 12.8341i | −0.247515 | − | 0.485776i | ||||
\(699\) | −12.8254 | − | 9.31821i | −0.485102 | − | 0.352447i | ||||
\(700\) | 8.59327 | − | 4.55116i | 0.324795 | − | 0.172018i | ||||
\(701\) | −5.87300 | − | 18.0752i | −0.221820 | − | 0.682692i | −0.998599 | − | 0.0529183i | \(-0.983148\pi\) |
0.776779 | − | 0.629773i | \(-0.216852\pi\) | |||||||
\(702\) | −5.34133 | − | 0.845984i | −0.201596 | − | 0.0319296i | ||||
\(703\) | −4.25107 | + | 8.34319i | −0.160332 | + | 0.314669i | ||||
\(704\) | −0.805478 | − | 0.585214i | −0.0303576 | − | 0.0220561i | ||||
\(705\) | −3.80492 | − | 22.8518i | −0.143302 | − | 0.860649i | ||||
\(706\) | −11.1683 | − | 15.3718i | −0.420324 | − | 0.578527i | ||||
\(707\) | −6.24763 | − | 6.24763i | −0.234966 | − | 0.234966i | ||||
\(708\) | −5.93222 | − | 5.93222i | −0.222947 | − | 0.222947i | ||||
\(709\) | −24.4483 | + | 17.7627i | −0.918173 | + | 0.667092i | −0.943069 | − | 0.332598i | \(-0.892075\pi\) |
0.0248953 | + | 0.999690i | \(0.492075\pi\) | |||||||
\(710\) | 4.71469 | − | 14.9107i | 0.176939 | − | 0.559587i | ||||
\(711\) | −11.7146 | + | 3.80631i | −0.439332 | + | 0.142748i | ||||
\(712\) | −8.89913 | + | 8.89913i | −0.333509 | + | 0.333509i | ||||
\(713\) | 40.6589 | − | 22.0516i | 1.52269 | − | 0.825839i | ||||
\(714\) | 0.988549i | 0.0369955i | ||||||||
\(715\) | 11.4205 | − | 3.81090i | 0.427103 | − | 0.142519i | ||||
\(716\) | 6.60540 | + | 2.14622i | 0.246855 | + | 0.0802082i | ||||
\(717\) | −2.16502 | − | 0.342905i | −0.0808540 | − | 0.0128060i | ||||
\(718\) | 14.5693 | − | 14.5693i | 0.543722 | − | 0.543722i | ||||
\(719\) | 45.6694 | 1.70318 | 0.851591 | − | 0.524206i | \(-0.175638\pi\) | ||||
0.851591 | + | 0.524206i | \(0.175638\pi\) | |||||||
\(720\) | 2.21124 | + | 0.332316i | 0.0824079 | + | 0.0123847i | ||||
\(721\) | −2.79003 | − | 2.02708i | −0.103906 | − | 0.0754922i | ||||
\(722\) | −0.442535 | − | 2.79405i | −0.0164694 | − | 0.103984i | ||||
\(723\) | 14.8583 | + | 7.57068i | 0.552586 | + | 0.281557i | ||||
\(724\) | 6.81237 | − | 4.94947i | 0.253180 | − | 0.183946i | ||||
\(725\) | −5.52634 | + | 1.89279i | −0.205243 | + | 0.0702966i | ||||
\(726\) | 9.51887 | + | 3.09287i | 0.353278 | + | 0.114787i | ||||
\(727\) | −1.46189 | − | 9.22999i | −0.0542184 | − | 0.342322i | −0.999854 | − | 0.0170932i | \(-0.994559\pi\) |
0.945635 | − | 0.325228i | \(-0.105441\pi\) | |||||||
\(728\) | −9.37105 | + | 4.77479i | −0.347314 | + | 0.176965i | ||||
\(729\) | −0.951057 | − | 0.309017i | −0.0352243 | − | 0.0114451i | ||||
\(730\) | 3.84757 | + | 23.1080i | 0.142405 | + | 0.855264i | ||||
\(731\) | 0.505457 | − | 1.55564i | 0.0186950 | − | 0.0575372i | ||||
\(732\) | 3.36658 | − | 6.60728i | 0.124432 | − | 0.244212i | ||||
\(733\) | −5.59083 | + | 35.2991i | −0.206502 | + | 1.30380i | 0.638742 | + | 0.769421i | \(0.279455\pi\) |
−0.845244 | + | 0.534381i | \(0.820545\pi\) | |||||||
\(734\) | −5.63902 | − | 17.3551i | −0.208140 | − | 0.640589i | ||||
\(735\) | 4.18294 | − | 5.85416i | 0.154290 | − | 0.215934i | ||||
\(736\) | 4.88299 | − | 6.72085i | 0.179989 | − | 0.247734i | ||||
\(737\) | −1.95306 | + | 12.3311i | −0.0719418 | + | 0.454222i | ||||
\(738\) | 8.88023 | − | 8.88023i | 0.326886 | − | 0.326886i | ||||
\(739\) | 8.05847 | 0.296436 | 0.148218 | − | 0.988955i | \(-0.452646\pi\) | ||||
0.148218 | + | 0.988955i | \(0.452646\pi\) | |||||||
\(740\) | −3.60463 | + | 2.66274i | −0.132509 | + | 0.0978843i | ||||
\(741\) | −7.80778 | + | 24.0299i | −0.286826 | + | 0.882760i | ||||
\(742\) | 18.1580 | + | 9.25198i | 0.666602 | + | 0.339651i | ||||
\(743\) | 29.9318 | + | 29.9318i | 1.09809 | + | 1.09809i | 0.994634 | + | 0.103458i | \(0.0329908\pi\) |
0.103458 | + | 0.994634i | \(0.467009\pi\) | |||||||
\(744\) | 4.58708 | + | 3.15574i | 0.168171 | + | 0.115695i | ||||
\(745\) | 19.6651 | + | 19.3563i | 0.720472 | + | 0.709162i | ||||
\(746\) | 1.68754 | + | 5.19371i | 0.0617852 | + | 0.190155i | ||||
\(747\) | 5.66228 | + | 11.1128i | 0.207172 | + | 0.406598i | ||||
\(748\) | 0.0791680 | − | 0.499847i | 0.00289467 | − | 0.0182762i | ||||
\(749\) | − | 2.07020i | − | 0.0756434i | ||||||
\(750\) | 7.71586 | − | 8.09108i | 0.281743 | − | 0.295444i | ||||
\(751\) | −17.5995 | + | 12.7868i | −0.642215 | + | 0.466596i | −0.860610 | − | 0.509264i | \(-0.829918\pi\) |
0.218396 | + | 0.975860i | \(0.429918\pi\) | |||||||
\(752\) | −1.62071 | − | 10.2328i | −0.0591013 | − | 0.373151i | ||||
\(753\) | 17.0035 | − | 2.69308i | 0.619640 | − | 0.0981414i | ||||
\(754\) | 6.00883 | − | 1.95239i | 0.218829 | − | 0.0711018i | ||||
\(755\) | −25.0327 | − | 3.76204i | −0.911034 | − | 0.136915i | ||||
\(756\) | −1.84963 | + | 0.600980i | −0.0672703 | + | 0.0218574i | ||||
\(757\) | −8.18175 | − | 16.0576i | −0.297371 | − | 0.583623i | 0.693181 | − | 0.720764i | \(-0.256209\pi\) |
−0.990552 | + | 0.137141i | \(0.956209\pi\) | |||||||
\(758\) | 14.1570 | − | 2.24225i | 0.514206 | − | 0.0814423i | ||||
\(759\) | 2.55591 | − | 7.86628i | 0.0927736 | − | 0.285528i | ||||
\(760\) | 3.14967 | − | 9.96113i | 0.114250 | − | 0.361328i | ||||
\(761\) | −25.2282 | + | 34.7236i | −0.914521 | + | 1.25873i | 0.0510775 | + | 0.998695i | \(0.483734\pi\) |
−0.965599 | + | 0.260036i | \(0.916266\pi\) | |||||||
\(762\) | −4.41043 | + | 2.24723i | −0.159773 | + | 0.0814085i | ||||
\(763\) | −32.4615 | − | 16.5400i | −1.17519 | − | 0.598788i | ||||
\(764\) | 2.55944 | + | 3.52277i | 0.0925975 | + | 0.127449i | ||||
\(765\) | 0.359768 | + | 1.07815i | 0.0130074 | + | 0.0389807i | ||||
\(766\) | 0.0976204 | − | 0.134363i | 0.00352717 | − | 0.00485473i | ||||
\(767\) | 44.8107 | − | 7.09732i | 1.61802 | − | 0.256269i | ||||
\(768\) | 0.987688 | + | 0.156434i | 0.0356401 | + | 0.00564484i | ||||
\(769\) | 31.9600i | 1.15251i | 0.817271 | + | 0.576254i | \(0.195486\pi\) | ||||
−0.817271 | + | 0.576254i | \(0.804514\pi\) | |||||||
\(770\) | 3.03725 | − | 3.08569i | 0.109455 | − | 0.111201i | ||||
\(771\) | −0.683313 | − | 0.940499i | −0.0246089 | − | 0.0338712i | ||||
\(772\) | 3.53201 | − | 1.79965i | 0.127120 | − | 0.0647707i | ||||
\(773\) | 2.38593 | − | 4.68266i | 0.0858161 | − | 0.168424i | −0.844110 | − | 0.536170i | \(-0.819871\pi\) |
0.929926 | + | 0.367746i | \(0.119871\pi\) | |||||||
\(774\) | 3.21796 | 0.115667 | ||||||||
\(775\) | 26.0962 | − | 9.69474i | 0.937403 | − | 0.348245i | ||||
\(776\) | −17.8278 | −0.639981 | ||||||||
\(777\) | 1.76954 | − | 3.47291i | 0.0634818 | − | 0.124590i | ||||
\(778\) | 25.4343 | − | 12.9594i | 0.911864 | − | 0.464618i | ||||
\(779\) | −34.4885 | − | 47.4693i | −1.23568 | − | 1.70076i | ||||
\(780\) | −8.48275 | + | 8.61804i | −0.303731 | + | 0.308575i | ||||
\(781\) | − | 6.96307i | − | 0.249158i | ||||||
\(782\) | 4.17069 | + | 0.660572i | 0.149143 | + | 0.0236220i | ||||
\(783\) | 1.15392 | − | 0.182762i | 0.0412376 | − | 0.00653139i | ||||
\(784\) | 1.89132 | − | 2.60318i | 0.0675471 | − | 0.0929706i | ||||
\(785\) | −11.5147 | − | 34.5075i | −0.410979 | − | 1.23162i | ||||
\(786\) | 5.39828 | + | 7.43009i | 0.192550 | + | 0.265022i | ||||
\(787\) | 14.6666 | + | 7.47300i | 0.522807 | + | 0.266384i | 0.695417 | − | 0.718607i | \(-0.255220\pi\) |
−0.172609 | + | 0.984990i | \(0.555220\pi\) | |||||||
\(788\) | −18.2415 | + | 9.29450i | −0.649826 | + | 0.331103i | ||||
\(789\) | −10.7926 | + | 14.8547i | −0.384226 | + | 0.528842i | ||||
\(790\) | −8.30368 | + | 26.2612i | −0.295431 | + | 0.934331i | ||||
\(791\) | −3.66521 | + | 11.2803i | −0.130320 | + | 0.401083i | ||||
\(792\) | 0.983368 | − | 0.155750i | 0.0349425 | − | 0.00553434i | ||||
\(793\) | 18.2061 | + | 35.7316i | 0.646519 | + | 1.26886i | ||||
\(794\) | −5.61570 | + | 1.82465i | −0.199294 | + | 0.0647544i | ||||
\(795\) | 23.1710 | + | 3.48226i | 0.821792 | + | 0.123503i | ||||
\(796\) | −11.3461 | + | 3.68657i | −0.402152 | + | 0.130667i | ||||
\(797\) | −32.0060 | + | 5.06925i | −1.13371 | + | 0.179562i | −0.694961 | − | 0.719047i | \(-0.744579\pi\) |
−0.438750 | + | 0.898609i | \(0.644579\pi\) | |||||||
\(798\) | 1.42143 | + | 8.97456i | 0.0503181 | + | 0.317696i | ||||
\(799\) | 4.26042 | − | 3.09537i | 0.150723 | − | 0.109506i | ||||
\(800\) | 3.47915 | − | 3.59103i | 0.123007 | − | 0.126962i | ||||
\(801\) | − | 12.5853i | − | 0.444678i | ||||||
\(802\) | −0.388557 | + | 2.45325i | −0.0137204 | + | 0.0866273i | ||||
\(803\) | 4.73541 | + | 9.29377i | 0.167109 | + | 0.327970i | ||||
\(804\) | −3.87497 | − | 11.9259i | −0.136660 | − | 0.420595i | ||||
\(805\) | 25.7468 | + | 25.3426i | 0.907455 | + | 0.893210i | ||||
\(806\) | −28.3876 | + | 10.0378i | −0.999909 | + | 0.353566i | ||||
\(807\) | −10.7931 | − | 10.7931i | −0.379934 | − | 0.379934i | ||||
\(808\) | −4.04793 | − | 2.06253i | −0.142406 | − | 0.0725594i | ||||
\(809\) | −6.79156 | + | 20.9023i | −0.238778 | + | 0.734884i | 0.757819 | + | 0.652465i | \(0.226265\pi\) |
−0.996598 | + | 0.0824199i | \(0.973735\pi\) | |||||||
\(810\) | −1.79856 | + | 1.32860i | −0.0631951 | + | 0.0466822i | ||||
\(811\) | −9.13819 | −0.320885 | −0.160443 | − | 0.987045i | \(-0.551292\pi\) | ||||
−0.160443 | + | 0.987045i | \(0.551292\pi\) | |||||||
\(812\) | 1.60663 | − | 1.60663i | 0.0563818 | − | 0.0563818i | ||||
\(813\) | −1.50052 | + | 9.47389i | −0.0526254 | + | 0.332264i | ||||
\(814\) | −1.17287 | + | 1.61432i | −0.0411091 | + | 0.0565819i | ||||
\(815\) | −3.26061 | + | 4.56333i | −0.114214 | + | 0.159846i | ||||
\(816\) | 0.157074 | + | 0.483423i | 0.00549867 | + | 0.0169232i | ||||
\(817\) | 2.35195 | − | 14.8497i | 0.0822845 | − | 0.519524i | ||||
\(818\) | −11.6228 | + | 22.8111i | −0.406383 | + | 0.797571i | ||||
\(819\) | 3.25005 | − | 10.0026i | 0.113566 | − | 0.349520i | ||||
\(820\) | −4.61224 | − | 27.7004i | −0.161066 | − | 0.967340i | ||||
\(821\) | −11.3518 | − | 3.68843i | −0.396181 | − | 0.128727i | 0.104149 | − | 0.994562i | \(-0.466788\pi\) |
−0.500330 | + | 0.865835i | \(0.666788\pi\) | |||||||
\(822\) | 2.54209 | − | 1.29526i | 0.0886657 | − | 0.0451774i | ||||
\(823\) | 0.716453 | + | 4.52351i | 0.0249740 | + | 0.157680i | 0.997024 | − | 0.0770955i | \(-0.0245646\pi\) |
−0.972050 | + | 0.234775i | \(0.924565\pi\) | |||||||
\(824\) | −1.68648 | − | 0.547969i | −0.0587511 | − | 0.0190894i | ||||
\(825\) | 2.18956 | − | 4.47075i | 0.0762309 | − | 0.155651i | ||||
\(826\) | 13.1998 | − | 9.59022i | 0.459280 | − | 0.333687i | ||||
\(827\) | 33.0928 | + | 16.8616i | 1.15075 | + | 0.586336i | 0.922015 | − | 0.387153i | \(-0.126542\pi\) |
0.228734 | + | 0.973489i | \(0.426542\pi\) | |||||||
\(828\) | 1.29957 | + | 8.20515i | 0.0451631 | + | 0.285149i | ||||
\(829\) | −36.5908 | − | 26.5848i | −1.27085 | − | 0.923328i | −0.271616 | − | 0.962406i | \(-0.587558\pi\) |
−0.999236 | + | 0.0390777i | \(0.987558\pi\) | |||||||
\(830\) | 27.5791 | + | 4.14472i | 0.957283 | + | 0.143865i | ||||
\(831\) | 24.8901 | 0.863428 | ||||||||
\(832\) | −3.82397 | + | 3.82397i | −0.132572 | + | 0.132572i | ||||
\(833\) | 1.61543 | + | 0.255858i | 0.0559712 | + | 0.00886496i | ||||
\(834\) | 19.4677 | + | 6.32544i | 0.674111 | + | 0.219032i | ||||
\(835\) | 12.1774 | − | 4.06345i | 0.421415 | − | 0.140622i | ||||
\(836\) | − | 4.65170i | − | 0.160883i | ||||||
\(837\) | −5.47500 | + | 1.01211i | −0.189244 | + | 0.0349837i | ||||
\(838\) | −20.6197 | + | 20.6197i | −0.712297 | + | 0.712297i | ||||
\(839\) | 12.5472 | − | 4.07683i | 0.433177 | − | 0.140748i | −0.0843085 | − | 0.996440i | \(-0.526868\pi\) |
0.517486 | + | 0.855692i | \(0.326868\pi\) | |||||||
\(840\) | −1.31107 | + | 4.14639i | −0.0452363 | + | 0.143064i | ||||
\(841\) | 22.3572 | − | 16.2435i | 0.770940 | − | 0.560120i | ||||
\(842\) | 4.69797 | + | 4.69797i | 0.161903 | + | 0.161903i | ||||
\(843\) | 5.61733 | + | 5.61733i | 0.193471 | + | 0.193471i | ||||
\(844\) | −7.78333 | − | 10.7128i | −0.267913 | − | 0.368751i | ||||
\(845\) | −5.96630 | − | 35.8327i | −0.205247 | − | 1.23268i | ||||
\(846\) | 8.38169 | + | 6.08965i | 0.288168 | + | 0.209367i | ||||
\(847\) | −8.83697 | + | 17.3435i | −0.303642 | + | 0.595931i | ||||
\(848\) | 10.3498 | + | 1.63924i | 0.355412 | + | 0.0562917i | ||||
\(849\) | 3.27586 | + | 10.0821i | 0.112427 | + | 0.346016i | ||||
\(850\) | 2.42924 | + | 0.747027i | 0.0833221 | + | 0.0256228i | ||||
\(851\) | −13.4698 | − | 9.78636i | −0.461738 | − | 0.335472i | ||||
\(852\) | 3.17505 | + | 6.23140i | 0.108776 | + | 0.213484i | ||||
\(853\) | −0.515365 | − | 1.01146i | −0.0176458 | − | 0.0346318i | 0.882015 | − | 0.471221i | \(-0.156186\pi\) |
−0.899661 | + | 0.436589i | \(0.856186\pi\) | |||||||
\(854\) | 11.6675 | + | 8.47692i | 0.399253 | + | 0.290074i | ||||
\(855\) | 4.81643 | + | 9.27073i | 0.164718 | + | 0.317052i | ||||
\(856\) | −0.328940 | − | 1.01237i | −0.0112429 | − | 0.0346022i | ||||
\(857\) | 17.2627 | + | 2.73415i | 0.589684 | + | 0.0933967i | 0.444143 | − | 0.895956i | \(-0.353508\pi\) |
0.145540 | + | 0.989352i | \(0.453508\pi\) | |||||||
\(858\) | −2.44440 | + | 4.79741i | −0.0834505 | + | 0.163781i | ||||
\(859\) | −31.8803 | − | 23.1624i | −1.08774 | − | 0.790291i | −0.108726 | − | 0.994072i | \(-0.534677\pi\) |
−0.979017 | + | 0.203781i | \(0.934677\pi\) | |||||||
\(860\) | 4.18327 | − | 5.85462i | 0.142648 | − | 0.199641i | ||||
\(861\) | 14.3561 | + | 19.7594i | 0.489254 | + | 0.673400i | ||||
\(862\) | 3.65880 | + | 3.65880i | 0.124619 | + | 0.124619i | ||||
\(863\) | 7.63939 | + | 7.63939i | 0.260048 | + | 0.260048i | 0.825073 | − | 0.565026i | \(-0.191134\pi\) |
−0.565026 | + | 0.825073i | \(0.691134\pi\) | |||||||
\(864\) | −0.809017 | + | 0.587785i | −0.0275233 | + | 0.0199969i | ||||
\(865\) | −23.7515 | − | 7.51013i | −0.807576 | − | 0.255352i | ||||
\(866\) | 34.9994 | − | 11.3720i | 1.18933 | − | 0.386436i | ||||
\(867\) | 11.8381 | − | 11.8381i | 0.402044 | − | 0.402044i | ||||
\(868\) | −7.45731 | + | 7.85109i | −0.253118 | + | 0.266483i | ||||
\(869\) | 12.2636i | 0.416014i | ||||||||
\(870\) | 1.16755 | − | 2.33697i | 0.0395837 | − | 0.0792308i | ||||
\(871\) | 64.4944 | + | 20.9555i | 2.18531 | + | 0.710050i | ||||
\(872\) | −18.5025 | − | 2.93051i | −0.626574 | − | 0.0992395i | ||||
\(873\) | 12.6062 | − | 12.6062i | 0.426654 | − | 0.426654i | ||||
\(874\) | 38.8135 | 1.31289 | ||||||||
\(875\) | 13.1945 | + | 17.2827i | 0.446054 | + | 0.584263i | ||||
\(876\) | −8.47564 | − | 6.15791i | −0.286365 | − | 0.208057i | ||||
\(877\) | −5.14017 | − | 32.4537i | −0.173571 | − | 1.09588i | −0.908544 | − | 0.417789i | \(-0.862805\pi\) |
0.734973 | − | 0.678096i | \(-0.237195\pi\) | |||||||
\(878\) | −9.42129 | − | 4.80038i | −0.317953 | − | 0.162005i | ||||
\(879\) | 21.8837 | − | 15.8995i | 0.738120 | − | 0.536276i | ||||
\(880\) | 0.994989 | − | 1.99157i | 0.0335411 | − | 0.0671358i | ||||
\(881\) | −21.4321 | − | 6.96372i | −0.722066 | − | 0.234614i | −0.0751475 | − | 0.997172i | \(-0.523943\pi\) |
−0.646919 | + | 0.762559i | \(0.723943\pi\) | |||||||
\(882\) | 0.503360 | + | 3.17809i | 0.0169490 | + | 0.107012i | ||||
\(883\) | −37.8074 | + | 19.2638i | −1.27232 | + | 0.648280i | −0.954030 | − | 0.299713i | \(-0.903109\pi\) |
−0.318292 | + | 0.947993i | \(0.603109\pi\) | |||||||
\(884\) | −2.61431 | − | 0.849440i | −0.0879287 | − | 0.0285698i | ||||
\(885\) | 10.9061 | − | 15.2634i | 0.366603 | − | 0.513073i | ||||
\(886\) | −7.50013 | + | 23.0830i | −0.251972 | + | 0.775490i | ||||
\(887\) | −5.46679 | + | 10.7292i | −0.183557 | + | 0.360251i | −0.964388 | − | 0.264492i | \(-0.914796\pi\) |
0.780831 | + | 0.624742i | \(0.214796\pi\) | |||||||
\(888\) | 0.313522 | − | 1.97950i | 0.0105211 | − | 0.0664277i | ||||
\(889\) | −2.97482 | − | 9.15555i | −0.0997722 | − | 0.307067i | ||||
\(890\) | −22.8971 | − | 16.3605i | −0.767513 | − | 0.548406i | ||||
\(891\) | −0.585214 | + | 0.805478i | −0.0196054 | + | 0.0269845i | ||||
\(892\) | −1.88979 | + | 11.9317i | −0.0632750 | + | 0.399503i | ||||
\(893\) | 34.2274 | − | 34.2274i | 1.14538 | − | 1.14538i | ||||
\(894\) | −12.3400 | −0.412713 | ||||||||
\(895\) | −2.30804 | + | 15.3578i | −0.0771493 | + | 0.513353i | ||||
\(896\) | −0.600980 | + | 1.84963i | −0.0200773 | + | 0.0617917i | ||||
\(897\) | −40.0292 | − | 20.3959i | −1.33654 | − | 0.681000i | ||||
\(898\) | −3.03931 | − | 3.03931i | −0.101423 | − | 0.101423i | ||||
\(899\) | 5.16245 | − | 3.95749i | 0.172177 | − | 0.131990i | ||||
\(900\) | 0.0791068 | + | 4.99937i | 0.00263689 | + | 0.166646i | ||||
\(901\) | 1.64594 | + | 5.06567i | 0.0548341 | + | 0.168762i | ||||
\(902\) | −5.67652 | − | 11.1408i | −0.189008 | − | 0.370948i | ||||
\(903\) | −0.979018 | + | 6.18128i | −0.0325797 | + | 0.205700i | ||||
\(904\) | 6.09872i | 0.202840i | ||||||||
\(905\) | 13.4190 | + | 13.2083i | 0.446061 | + | 0.439059i | ||||
\(906\) | 9.15863 | − | 6.65413i | 0.304275 | − | 0.221069i | ||||
\(907\) | −5.99009 | − | 37.8200i | −0.198898 | − | 1.25579i | −0.861863 | − | 0.507141i | \(-0.830702\pi\) |
0.662965 | − | 0.748650i | \(-0.269298\pi\) | |||||||
\(908\) | 16.8028 | − | 2.66130i | 0.557620 | − | 0.0883183i | ||||
\(909\) | 4.32075 | − | 1.40390i | 0.143310 | − | 0.0465643i | ||||
\(910\) | −13.9734 | − | 18.9162i | −0.463212 | − | 0.627064i | ||||
\(911\) | 33.3451 | − | 10.8345i | 1.10477 | − | 0.358963i | 0.300836 | − | 0.953676i | \(-0.402734\pi\) |
0.803938 | + | 0.594713i | \(0.202734\pi\) | |||||||
\(912\) | 2.12111 | + | 4.16291i | 0.0702369 | + | 0.137848i | ||||
\(913\) | 12.2648 | − | 1.94255i | 0.405906 | − | 0.0642892i | ||||
\(914\) | −8.89893 | + | 27.3881i | −0.294350 | + | 0.905917i | ||||
\(915\) | 15.8101 | + | 4.99908i | 0.522665 | + | 0.165265i | ||||
\(916\) | 5.17085 | − | 7.11706i | 0.170850 | − | 0.235154i | ||||
\(917\) | −15.9146 | + | 8.10888i | −0.525545 | + | 0.267779i | ||||
\(918\) | −0.452899 | − | 0.230764i | −0.0149479 | − | 0.00761634i | ||||
\(919\) | −4.20481 | − | 5.78742i | −0.138704 | − | 0.190909i | 0.734014 | − | 0.679134i | \(-0.237645\pi\) |
−0.872718 | + | 0.488225i | \(0.837645\pi\) | |||||||
\(920\) | 16.6175 | + | 8.30212i | 0.547863 | + | 0.273713i | ||||
\(921\) | 13.0351 | − | 17.9413i | 0.429522 | − | 0.591186i | ||||
\(922\) | −29.1691 | + | 4.61994i | −0.960634 | + | 0.152149i | ||||
\(923\) | −37.3554 | − | 5.91652i | −1.22957 | − | 0.194745i | ||||
\(924\) | 1.93631i | 0.0636998i | ||||||||
\(925\) | −7.19705 | − | 6.97283i | −0.236637 | − | 0.229265i | ||||
\(926\) | 2.66800 | + | 3.67218i | 0.0876758 | + | 0.120675i | ||||
\(927\) | 1.57999 | − | 0.805045i | 0.0518937 | − | 0.0264412i | ||||
\(928\) | 0.530397 | − | 1.04096i | 0.0174111 | − | 0.0341713i | ||||
\(929\) | 19.0866 | 0.626212 | 0.313106 | − | 0.949718i | \(-0.398630\pi\) | ||||
0.313106 | + | 0.949718i | \(0.398630\pi\) | |||||||
\(930\) | −5.27597 | + | 11.2767i | −0.173006 | + | 0.369778i | ||||
\(931\) | 15.0336 | 0.492705 | ||||||||
\(932\) | 7.19715 | − | 14.1252i | 0.235750 | − | 0.462686i | ||||
\(933\) | −12.6561 | + | 6.44860i | −0.414342 | + | 0.211118i | ||||
\(934\) | −7.31945 | − | 10.0744i | −0.239500 | − | 0.329643i | ||||
\(935\) | 1.13159 | − | 0.00895219i | 0.0370069 | − | 0.000292768i | ||||
\(936\) | − | 5.40791i | − | 0.176763i | ||||||
\(937\) | −20.1698 | − | 3.19458i | −0.658918 | − | 0.104362i | −0.181984 | − | 0.983302i | \(-0.558252\pi\) |
−0.476934 | + | 0.878939i | \(0.658252\pi\) | |||||||
\(938\) | 24.0871 | − | 3.81501i | 0.786470 | − | 0.124565i | ||||
\(939\) | 5.21111 | − | 7.17247i | 0.170058 | − | 0.234065i | ||||
\(940\) | 21.9752 | − | 7.33289i | 0.716753 | − | 0.239172i | ||||
\(941\) | 0.677030 | + | 0.931852i | 0.0220705 | + | 0.0303775i | 0.819910 | − | 0.572493i | \(-0.194024\pi\) |
−0.797839 | + | 0.602870i | \(0.794024\pi\) | |||||||
\(942\) | 14.4955 | + | 7.38584i | 0.472290 | + | 0.240644i | ||||
\(943\) | 92.9581 | − | 47.3645i | 3.02713 | − | 1.54240i | ||||
\(944\) | 4.93118 | − | 6.78719i | 0.160496 | − | 0.220904i | ||||
\(945\) | −2.00487 | − | 3.85901i | −0.0652186 | − | 0.125534i | ||||
\(946\) | 0.990055 | − | 3.04708i | 0.0321895 | − | 0.0990690i | ||||
\(947\) | −26.3605 | + | 4.17510i | −0.856603 | + | 0.135673i | −0.569262 | − | 0.822156i | \(-0.692771\pi\) |
−0.287340 | + | 0.957829i | \(0.592771\pi\) | |||||||
\(948\) | −5.59202 | − | 10.9750i | −0.181620 | − | 0.356450i | ||||
\(949\) | 53.8829 | − | 17.5076i | 1.74911 | − | 0.568321i | ||||
\(950\) | 23.1280 | + | 3.28891i | 0.750372 | + | 0.106706i | ||||
\(951\) | 23.1941 | − | 7.53621i | 0.752119 | − | 0.244378i | ||||
\(952\) | −0.976379 | + | 0.154643i | −0.0316446 | + | 0.00501202i | ||||
\(953\) | −3.29756 | − | 20.8200i | −0.106819 | − | 0.674426i | −0.981750 | − | 0.190178i | \(-0.939093\pi\) |
0.874931 | − | 0.484248i | \(-0.160907\pi\) | |||||||
\(954\) | −8.47750 | + | 6.15926i | −0.274469 | + | 0.199414i | ||||
\(955\) | −6.83021 | + | 6.93914i | −0.221020 | + | 0.224545i | ||||
\(956\) | − | 2.19200i | − | 0.0708945i | ||||||
\(957\) | 0.181963 | − | 1.14887i | 0.00588203 | − | 0.0371377i | ||||
\(958\) | 17.3906 | + | 34.1309i | 0.561863 | + | 1.10272i | ||||
\(959\) | 1.71463 | + | 5.27709i | 0.0553683 | + | 0.170406i | ||||
\(960\) | 0.0176894 | + | 2.23600i | 0.000570922 | + | 0.0721665i | ||||
\(961\) | −24.1096 | + | 19.4866i | −0.777728 | + | 0.628601i | ||||
\(962\) | 7.66390 | + | 7.66390i | 0.247094 | + | 0.247094i | ||||
\(963\) | 0.948452 | + | 0.483260i | 0.0305634 | + | 0.0155728i | ||||
\(964\) | −5.15313 | + | 15.8597i | −0.165971 | + | 0.510806i | ||||
\(965\) | 5.26665 | + | 7.12962i | 0.169539 | + | 0.229511i | ||||
\(966\) | −16.1564 | −0.519824 | ||||||||
\(967\) | −8.65639 | + | 8.65639i | −0.278371 | + | 0.278371i | −0.832458 | − | 0.554088i | \(-0.813067\pi\) |
0.554088 | + | 0.832458i | \(0.313067\pi\) | |||||||
\(968\) | −1.56571 | + | 9.88550i | −0.0503238 | + | 0.317732i | ||||
\(969\) | −1.39590 | + | 1.92130i | −0.0448429 | + | 0.0617209i | ||||
\(970\) | −6.54742 | − | 39.3228i | −0.210225 | − | 1.26258i | ||||
\(971\) | 1.11450 | + | 3.43008i | 0.0357660 | + | 0.110076i | 0.967346 | − | 0.253461i | \(-0.0815689\pi\) |
−0.931580 | + | 0.363537i | \(0.881569\pi\) | |||||||
\(972\) | 0.156434 | − | 0.987688i | 0.00501764 | − | 0.0316801i | ||||
\(973\) | −18.0731 | + | 35.4705i | −0.579397 | + | 1.13713i | ||||
\(974\) | 0.483349 | − | 1.48760i | 0.0154875 | − | 0.0476657i | ||||
\(975\) | −22.1242 | − | 15.5454i | −0.708541 | − | 0.497850i | ||||
\(976\) | 7.05258 | + | 2.29152i | 0.225748 | + | 0.0733498i | ||||
\(977\) | −37.1324 | + | 18.9199i | −1.18797 | + | 0.605301i | −0.932379 | − | 0.361484i | \(-0.882270\pi\) |
−0.255592 | + | 0.966785i | \(0.582270\pi\) | |||||||
\(978\) | −0.392370 | − | 2.47733i | −0.0125466 | − | 0.0792162i | ||||
\(979\) | −11.9169 | − | 3.87205i | −0.380867 | − | 0.123751i | ||||
\(980\) | 6.43644 | + | 3.21565i | 0.205604 | + | 0.102720i | ||||
\(981\) | 15.1554 | − | 11.0111i | 0.483876 | − | 0.351556i | ||||
\(982\) | 28.7816 | + | 14.6650i | 0.918458 | + | 0.467978i | ||||
\(983\) | 6.70425 | + | 42.3290i | 0.213832 | + | 1.35008i | 0.827920 | + | 0.560846i | \(0.189524\pi\) |
−0.614087 | + | 0.789238i | \(0.710476\pi\) | |||||||
\(984\) | 10.1601 | + | 7.38173i | 0.323891 | + | 0.235321i | ||||
\(985\) | −27.2002 | − | 36.8218i | −0.866672 | − | 1.17324i | ||||
\(986\) | 0.593848 | 0.0189120 | ||||||||
\(987\) | −14.2474 | + | 14.2474i | −0.453501 | + | 0.453501i | ||||
\(988\) | −24.9554 | − | 3.95255i | −0.793938 | − | 0.125747i | ||||
\(989\) | 25.4246 | + | 8.26095i | 0.808455 | + | 0.262683i | ||||
\(990\) | 0.704689 | + | 2.11182i | 0.0223965 | + | 0.0671179i | ||||
\(991\) | − | 7.00646i | − | 0.222568i | −0.993789 | − | 0.111284i | \(-0.964504\pi\) | ||
0.993789 | − | 0.111284i | \(-0.0354962\pi\) | |||||||
\(992\) | −2.39931 | + | 5.02427i | −0.0761781 | + | 0.159521i | ||||
\(993\) | −3.62201 | + | 3.62201i | −0.114941 | + | 0.114941i | ||||
\(994\) | −12.9357 | + | 4.20305i | −0.410294 | + | 0.133313i | ||||
\(995\) | −12.2984 | − | 23.6722i | −0.389887 | − | 0.750459i | ||||
\(996\) | −10.0903 | + | 7.33100i | −0.319722 | + | 0.232292i | ||||
\(997\) | 12.8275 | + | 12.8275i | 0.406252 | + | 0.406252i | 0.880429 | − | 0.474177i | \(-0.157254\pi\) |
−0.474177 | + | 0.880429i | \(0.657254\pi\) | |||||||
\(998\) | 21.2834 | + | 21.2834i | 0.673713 | + | 0.673713i | ||||
\(999\) | 1.17802 | + | 1.62141i | 0.0372710 | + | 0.0512992i |
(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 | 930.2.bj.b.337.14 | yes | 128 | |
5.3 | odd | 4 | 930.2.bj.a.523.6 | yes | 128 | ||
31.23 | odd | 10 | 930.2.bj.a.457.6 | ✓ | 128 | ||
155.23 | even | 20 | inner | 930.2.bj.b.643.14 | yes | 128 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.bj.a.457.6 | ✓ | 128 | 31.23 | odd | 10 | ||
930.2.bj.a.523.6 | yes | 128 | 5.3 | odd | 4 | ||
930.2.bj.b.337.14 | yes | 128 | 1.1 | even | 1 | trivial | |
930.2.bj.b.643.14 | yes | 128 | 155.23 | even | 20 | inner |