Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [117,2,Mod(2,117)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(117, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([2, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("117.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 117 = 3^{2} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 117.x (of order \(12\), degree \(4\), 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: | \(0.934249703649\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 11.7 | ||
Character | \(\chi\) | \(=\) | 117.11 |
Dual form | 117.2.x.a.32.7 |
$q$-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 \(\left(\mathbb{Z}/117\mathbb{Z}\right)^\times\).
\(n\) | \(28\) | \(92\) |
\(\chi(n)\) | \(e\left(\frac{7}{12}\right)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.286505 | − | 0.286505i | 0.202590 | − | 0.202590i | −0.598519 | − | 0.801109i | \(-0.704244\pi\) |
0.801109 | + | 0.598519i | \(0.204244\pi\) | |||||||
\(3\) | −1.72577 | − | 0.147373i | −0.996374 | − | 0.0850859i | ||||
\(4\) | 1.83583i | 0.917915i | ||||||||
\(5\) | 2.00620 | + | 0.537559i | 0.897199 | + | 0.240404i | 0.677813 | − | 0.735234i | \(-0.262928\pi\) |
0.219386 | + | 0.975638i | \(0.429595\pi\) | |||||||
\(6\) | −0.536665 | + | 0.452219i | −0.219093 | + | 0.184618i | ||||
\(7\) | 1.90533 | + | 0.510531i | 0.720145 | + | 0.192962i | 0.600237 | − | 0.799823i | \(-0.295073\pi\) |
0.119909 | + | 0.992785i | \(0.461740\pi\) | |||||||
\(8\) | 1.09899 | + | 1.09899i | 0.388550 | + | 0.388550i | ||||
\(9\) | 2.95656 | + | 0.508664i | 0.985521 | + | 0.169555i | ||||
\(10\) | 0.728800 | − | 0.420773i | 0.230467 | − | 0.133060i | ||||
\(11\) | −1.96889 | − | 1.96889i | −0.593642 | − | 0.593642i | 0.344971 | − | 0.938613i | \(-0.387889\pi\) |
−0.938613 | + | 0.344971i | \(0.887889\pi\) | |||||||
\(12\) | 0.270552 | − | 3.16822i | 0.0781016 | − | 0.914586i | ||||
\(13\) | −0.908720 | + | 3.48916i | −0.252033 | + | 0.967719i | ||||
\(14\) | 0.692156 | − | 0.399616i | 0.184986 | − | 0.106802i | ||||
\(15\) | −3.38301 | − | 1.22336i | −0.873490 | − | 0.315871i | ||||
\(16\) | −3.04193 | −0.760482 | ||||||||
\(17\) | 2.88941 | − | 5.00460i | 0.700784 | − | 1.21379i | −0.267408 | − | 0.963583i | \(-0.586167\pi\) |
0.968192 | − | 0.250210i | \(-0.0804996\pi\) | |||||||
\(18\) | 0.992806 | − | 0.701336i | 0.234007 | − | 0.165306i | ||||
\(19\) | −4.00984 | + | 1.07443i | −0.919920 | + | 0.246492i | −0.687551 | − | 0.726136i | \(-0.741314\pi\) |
−0.232369 | + | 0.972628i | \(0.574648\pi\) | |||||||
\(20\) | −0.986867 | + | 3.68304i | −0.220670 | + | 0.823552i | ||||
\(21\) | −3.21292 | − | 1.16185i | −0.701116 | − | 0.253537i | ||||
\(22\) | −1.12819 | −0.240532 | ||||||||
\(23\) | 1.46551 | − | 2.53833i | 0.305580 | − | 0.529279i | −0.671811 | − | 0.740723i | \(-0.734483\pi\) |
0.977390 | + | 0.211444i | \(0.0678165\pi\) | |||||||
\(24\) | −1.73463 | − | 2.05856i | −0.354081 | − | 0.420201i | ||||
\(25\) | −0.594268 | − | 0.343101i | −0.118854 | − | 0.0686202i | ||||
\(26\) | 0.739309 | + | 1.26002i | 0.144991 | + | 0.247109i | ||||
\(27\) | −5.02738 | − | 1.31356i | −0.967520 | − | 0.252794i | ||||
\(28\) | −0.937247 | + | 3.49785i | −0.177123 | + | 0.661032i | ||||
\(29\) | − | 0.0272596i | − | 0.00506199i | −0.999997 | − | 0.00253099i | \(-0.999194\pi\) | ||
0.999997 | − | 0.00253099i | \(-0.000805641\pi\) | |||||||
\(30\) | −1.31975 | + | 0.618751i | −0.240952 | + | 0.112968i | ||||
\(31\) | 1.20440 | − | 4.49489i | 0.216317 | − | 0.807307i | −0.769381 | − | 0.638790i | \(-0.779435\pi\) |
0.985699 | − | 0.168517i | \(-0.0538979\pi\) | |||||||
\(32\) | −3.06950 | + | 3.06950i | −0.542616 | + | 0.542616i | ||||
\(33\) | 3.10768 | + | 3.68801i | 0.540978 | + | 0.641999i | ||||
\(34\) | −0.606014 | − | 2.26167i | −0.103930 | − | 0.387874i | ||||
\(35\) | 3.54802 | + | 2.04845i | 0.599725 | + | 0.346251i | ||||
\(36\) | −0.933821 | + | 5.42774i | −0.155637 | + | 0.904624i | ||||
\(37\) | 6.63559 | + | 1.77800i | 1.09088 | + | 0.292302i | 0.759047 | − | 0.651035i | \(-0.225665\pi\) |
0.331837 | + | 0.943337i | \(0.392332\pi\) | |||||||
\(38\) | −0.841010 | + | 1.45667i | −0.136430 | + | 0.236303i | ||||
\(39\) | 2.08245 | − | 5.88756i | 0.333459 | − | 0.942765i | ||||
\(40\) | 1.61401 | + | 2.79555i | 0.255198 | + | 0.442016i | ||||
\(41\) | −2.43331 | − | 9.08122i | −0.380018 | − | 1.41825i | −0.845872 | − | 0.533386i | \(-0.820919\pi\) |
0.465854 | − | 0.884862i | \(-0.345747\pi\) | |||||||
\(42\) | −1.25339 | + | 0.587640i | −0.193403 | + | 0.0906749i | ||||
\(43\) | 5.43197 | − | 3.13615i | 0.828367 | − | 0.478258i | −0.0249260 | − | 0.999689i | \(-0.507935\pi\) |
0.853293 | + | 0.521431i | \(0.174602\pi\) | |||||||
\(44\) | 3.61454 | − | 3.61454i | 0.544912 | − | 0.544912i | ||||
\(45\) | 5.65801 | + | 2.60981i | 0.843446 | + | 0.389047i | ||||
\(46\) | −0.307370 | − | 1.14712i | −0.0453193 | − | 0.169134i | ||||
\(47\) | −4.26664 | + | 1.14324i | −0.622353 | + | 0.166759i | −0.556197 | − | 0.831050i | \(-0.687740\pi\) |
−0.0661557 | + | 0.997809i | \(0.521073\pi\) | |||||||
\(48\) | 5.24967 | + | 0.448299i | 0.757724 | + | 0.0647063i | ||||
\(49\) | −2.69255 | − | 1.55455i | −0.384650 | − | 0.222078i | ||||
\(50\) | −0.268561 | + | 0.0719608i | −0.0379803 | + | 0.0101768i | ||||
\(51\) | −5.72399 | + | 8.21096i | −0.801519 | + | 1.14976i | ||||
\(52\) | −6.40550 | − | 1.66825i | −0.888283 | − | 0.231345i | ||||
\(53\) | 8.65927i | 1.18944i | 0.803932 | + | 0.594721i | \(0.202737\pi\) | ||||
−0.803932 | + | 0.594721i | \(0.797263\pi\) | |||||||
\(54\) | −1.81671 | + | 1.06403i | −0.247223 | + | 0.144796i | ||||
\(55\) | −2.89158 | − | 5.00837i | −0.389901 | − | 0.675328i | ||||
\(56\) | 1.53286 | + | 2.65499i | 0.204837 | + | 0.354788i | ||||
\(57\) | 7.07840 | − | 1.26328i | 0.937557 | − | 0.167326i | ||||
\(58\) | −0.00781003 | − | 0.00781003i | −0.00102551 | − | 0.00102551i | ||||
\(59\) | −9.73507 | − | 9.73507i | −1.26740 | − | 1.26740i | −0.947427 | − | 0.319971i | \(-0.896327\pi\) |
−0.319971 | − | 0.947427i | \(-0.603673\pi\) | |||||||
\(60\) | 2.24589 | − | 6.21064i | 0.289943 | − | 0.801790i | ||||
\(61\) | 4.64093 | + | 8.03833i | 0.594211 | + | 1.02920i | 0.993658 | + | 0.112447i | \(0.0358688\pi\) |
−0.399447 | + | 0.916756i | \(0.630798\pi\) | |||||||
\(62\) | −0.942743 | − | 1.63288i | −0.119729 | − | 0.207376i | ||||
\(63\) | 5.37353 | + | 2.47859i | 0.677001 | + | 0.312273i | ||||
\(64\) | − | 4.32500i | − | 0.540625i | ||||||
\(65\) | −3.69870 | + | 6.51145i | −0.458767 | + | 0.807646i | ||||
\(66\) | 1.94700 | + | 0.166265i | 0.239659 | + | 0.0204659i | ||||
\(67\) | 6.40101 | − | 1.71515i | 0.782008 | − | 0.209538i | 0.154338 | − | 0.988018i | \(-0.450675\pi\) |
0.627670 | + | 0.778480i | \(0.284009\pi\) | |||||||
\(68\) | 9.18759 | + | 5.30446i | 1.11416 | + | 0.643260i | ||||
\(69\) | −2.90321 | + | 4.16460i | −0.349506 | + | 0.501359i | ||||
\(70\) | 1.60342 | − | 0.429635i | 0.191645 | − | 0.0513512i | ||||
\(71\) | 2.46714 | + | 9.20749i | 0.292795 | + | 1.09273i | 0.942952 | + | 0.332928i | \(0.108036\pi\) |
−0.650157 | + | 0.759800i | \(0.725297\pi\) | |||||||
\(72\) | 2.69020 | + | 3.80823i | 0.317044 | + | 0.448805i | ||||
\(73\) | 0.696641 | − | 0.696641i | 0.0815356 | − | 0.0815356i | −0.665163 | − | 0.746698i | \(-0.731638\pi\) |
0.746698 | + | 0.665163i | \(0.231638\pi\) | |||||||
\(74\) | 2.41054 | − | 1.39172i | 0.280219 | − | 0.161785i | ||||
\(75\) | 0.975006 | + | 0.679692i | 0.112584 | + | 0.0784841i | ||||
\(76\) | −1.97248 | − | 7.36138i | −0.226259 | − | 0.844408i | ||||
\(77\) | −2.74619 | − | 4.75655i | −0.312958 | − | 0.542059i | ||||
\(78\) | −1.09019 | − | 2.28345i | −0.123439 | − | 0.258550i | ||||
\(79\) | −6.46914 | + | 11.2049i | −0.727835 | + | 1.26065i | 0.229962 | + | 0.973200i | \(0.426140\pi\) |
−0.957796 | + | 0.287447i | \(0.907193\pi\) | |||||||
\(80\) | −6.10271 | − | 1.63522i | −0.682304 | − | 0.182823i | ||||
\(81\) | 8.48252 | + | 3.00780i | 0.942502 | + | 0.334199i | ||||
\(82\) | −3.29897 | − | 1.90466i | −0.364311 | − | 0.210335i | ||||
\(83\) | 0.860748 | + | 3.21235i | 0.0944793 | + | 0.352602i | 0.996940 | − | 0.0781706i | \(-0.0249079\pi\) |
−0.902461 | + | 0.430772i | \(0.858241\pi\) | |||||||
\(84\) | 2.13296 | − | 5.89836i | 0.232725 | − | 0.643564i | ||||
\(85\) | 8.48699 | − | 8.48699i | 0.920543 | − | 0.920543i | ||||
\(86\) | 0.657764 | − | 2.45481i | 0.0709286 | − | 0.264709i | ||||
\(87\) | −0.00401734 | + | 0.0470438i | −0.000430704 | + | 0.00504363i | ||||
\(88\) | − | 4.32756i | − | 0.461319i | ||||||
\(89\) | −0.569878 | + | 2.12681i | −0.0604069 | + | 0.225442i | −0.989530 | − | 0.144330i | \(-0.953897\pi\) |
0.929123 | + | 0.369771i | \(0.120564\pi\) | |||||||
\(90\) | 2.36877 | − | 0.873326i | 0.249691 | − | 0.0920567i | ||||
\(91\) | −3.51273 | + | 6.18406i | −0.368234 | + | 0.648265i | ||||
\(92\) | 4.65995 | + | 2.69042i | 0.485833 | + | 0.280496i | ||||
\(93\) | −2.74095 | + | 7.57966i | −0.284223 | + | 0.785974i | ||||
\(94\) | −0.894869 | + | 1.54996i | −0.0922987 | + | 0.159866i | ||||
\(95\) | −8.62210 | −0.884609 | ||||||||
\(96\) | 5.74961 | − | 4.84489i | 0.586817 | − | 0.494479i | ||||
\(97\) | 3.16527 | − | 11.8130i | 0.321385 | − | 1.19942i | −0.596512 | − | 0.802605i | \(-0.703447\pi\) |
0.917896 | − | 0.396820i | \(-0.129886\pi\) | |||||||
\(98\) | −1.21682 | + | 0.326045i | −0.122917 | + | 0.0329355i | ||||
\(99\) | −4.81963 | − | 6.82264i | −0.484391 | − | 0.685701i | ||||
\(100\) | 0.629875 | − | 1.09098i | 0.0629875 | − | 0.109098i | ||||
\(101\) | −11.7061 | −1.16480 | −0.582401 | − | 0.812901i | \(-0.697887\pi\) | ||||
−0.582401 | + | 0.812901i | \(0.697887\pi\) | |||||||
\(102\) | 0.712530 | + | 3.99244i | 0.0705510 | + | 0.395310i | ||||
\(103\) | −6.99746 | + | 4.03998i | −0.689480 | + | 0.398071i | −0.803417 | − | 0.595417i | \(-0.796987\pi\) |
0.113937 | + | 0.993488i | \(0.463654\pi\) | |||||||
\(104\) | −4.83320 | + | 2.83587i | −0.473935 | + | 0.278079i | ||||
\(105\) | −5.82118 | − | 4.05804i | −0.568089 | − | 0.396024i | ||||
\(106\) | 2.48093 | + | 2.48093i | 0.240969 | + | 0.240969i | ||||
\(107\) | −3.06247 | + | 1.76812i | −0.296060 | + | 0.170930i | −0.640672 | − | 0.767815i | \(-0.721344\pi\) |
0.344612 | + | 0.938745i | \(0.388011\pi\) | |||||||
\(108\) | 2.41146 | − | 9.22942i | 0.232043 | − | 0.888101i | ||||
\(109\) | −3.56699 | − | 3.56699i | −0.341656 | − | 0.341656i | 0.515334 | − | 0.856990i | \(-0.327668\pi\) |
−0.856990 | + | 0.515334i | \(0.827668\pi\) | |||||||
\(110\) | −2.26338 | − | 0.606470i | −0.215805 | − | 0.0578247i | ||||
\(111\) | −11.1895 | − | 4.04633i | −1.06206 | − | 0.384060i | ||||
\(112\) | −5.79586 | − | 1.55300i | −0.547658 | − | 0.146744i | ||||
\(113\) | 14.6710i | 1.38014i | 0.723745 | + | 0.690068i | \(0.242419\pi\) | ||||
−0.723745 | + | 0.690068i | \(0.757581\pi\) | |||||||
\(114\) | 1.66606 | − | 2.38994i | 0.156041 | − | 0.223838i | ||||
\(115\) | 4.30460 | − | 4.30460i | 0.401406 | − | 0.401406i | ||||
\(116\) | 0.0500440 | 0.00464647 | ||||||||
\(117\) | −4.46150 | + | 9.85368i | −0.412466 | + | 0.910973i | ||||
\(118\) | −5.57830 | −0.513524 | ||||||||
\(119\) | 8.06026 | − | 8.06026i | 0.738883 | − | 0.738883i | ||||
\(120\) | −2.37342 | − | 5.06234i | −0.216663 | − | 0.462126i | ||||
\(121\) | − | 3.24697i | − | 0.295179i | ||||||
\(122\) | 3.63268 | + | 0.973373i | 0.328887 | + | 0.0881250i | ||||
\(123\) | 2.86100 | + | 16.0307i | 0.257967 | + | 1.44544i | ||||
\(124\) | 8.25186 | + | 2.21108i | 0.741039 | + | 0.198561i | ||||
\(125\) | −8.35097 | − | 8.35097i | −0.746934 | − | 0.746934i | ||||
\(126\) | 2.24967 | − | 0.829416i | 0.200417 | − | 0.0738902i | ||||
\(127\) | 7.25477 | − | 4.18854i | 0.643757 | − | 0.371673i | −0.142303 | − | 0.989823i | \(-0.545451\pi\) |
0.786060 | + | 0.618150i | \(0.212118\pi\) | |||||||
\(128\) | −7.37814 | − | 7.37814i | −0.652141 | − | 0.652141i | ||||
\(129\) | −9.83651 | + | 4.61174i | −0.866056 | + | 0.406041i | ||||
\(130\) | 0.805868 | + | 2.92526i | 0.0706793 | + | 0.256562i | ||||
\(131\) | 16.8917 | − | 9.75243i | 1.47583 | − | 0.852074i | 0.476206 | − | 0.879333i | \(-0.342011\pi\) |
0.999628 | + | 0.0272599i | \(0.00867816\pi\) | |||||||
\(132\) | −6.77055 | + | 5.70518i | −0.589301 | + | 0.496572i | ||||
\(133\) | −8.18858 | −0.710040 | ||||||||
\(134\) | 1.34253 | − | 2.32532i | 0.115977 | − | 0.200877i | ||||
\(135\) | −9.37981 | − | 5.33777i | −0.807285 | − | 0.459402i | ||||
\(136\) | 8.67540 | − | 2.32457i | 0.743909 | − | 0.199330i | ||||
\(137\) | 1.07858 | − | 4.02530i | 0.0921489 | − | 0.343904i | −0.904423 | − | 0.426637i | \(-0.859698\pi\) |
0.996572 | + | 0.0827328i | \(0.0263648\pi\) | |||||||
\(138\) | 0.361396 | + | 2.02497i | 0.0307640 | + | 0.172377i | ||||
\(139\) | −5.14086 | −0.436042 | −0.218021 | − | 0.975944i | \(-0.569960\pi\) | ||||
−0.218021 | + | 0.975944i | \(0.569960\pi\) | |||||||
\(140\) | −3.76060 | + | 6.51356i | −0.317829 | + | 0.550496i | ||||
\(141\) | 7.53171 | − | 1.34418i | 0.634285 | − | 0.113201i | ||||
\(142\) | 3.34484 | + | 1.93115i | 0.280693 | + | 0.162058i | ||||
\(143\) | 8.65892 | − | 5.08059i | 0.724096 | − | 0.424860i | ||||
\(144\) | −8.99365 | − | 1.54732i | −0.749471 | − | 0.128943i | ||||
\(145\) | 0.0146537 | − | 0.0546882i | 0.00121692 | − | 0.00454161i | ||||
\(146\) | − | 0.399182i | − | 0.0330366i | ||||||
\(147\) | 4.41763 | + | 3.07960i | 0.364360 | + | 0.254001i | ||||
\(148\) | −3.26411 | + | 12.1818i | −0.268308 | + | 1.00134i | ||||
\(149\) | 0.439177 | − | 0.439177i | 0.0359788 | − | 0.0359788i | −0.688889 | − | 0.724867i | \(-0.741901\pi\) |
0.724867 | + | 0.688889i | \(0.241901\pi\) | |||||||
\(150\) | 0.474080 | − | 0.0846090i | 0.0387085 | − | 0.00690830i | ||||
\(151\) | 2.54617 | + | 9.50243i | 0.207204 | + | 0.773297i | 0.988766 | + | 0.149469i | \(0.0477566\pi\) |
−0.781562 | + | 0.623828i | \(0.785577\pi\) | |||||||
\(152\) | −5.58754 | − | 3.22597i | −0.453210 | − | 0.261661i | ||||
\(153\) | 11.0884 | − | 13.3267i | 0.896441 | − | 1.07740i | ||||
\(154\) | −2.14958 | − | 0.575977i | −0.173218 | − | 0.0464135i | ||||
\(155\) | 4.83254 | − | 8.37021i | 0.388159 | − | 0.672311i | ||||
\(156\) | 10.8086 | + | 3.82302i | 0.865378 | + | 0.306087i | ||||
\(157\) | 8.36636 | + | 14.4910i | 0.667708 | + | 1.15650i | 0.978543 | + | 0.206040i | \(0.0660579\pi\) |
−0.310835 | + | 0.950464i | \(0.600609\pi\) | |||||||
\(158\) | 1.35681 | + | 5.06370i | 0.107942 | + | 0.402846i | ||||
\(159\) | 1.27614 | − | 14.9439i | 0.101205 | − | 1.18513i | ||||
\(160\) | −7.80806 | + | 4.50799i | −0.617281 | + | 0.356388i | ||||
\(161\) | 4.08817 | − | 4.08817i | 0.322193 | − | 0.322193i | ||||
\(162\) | 3.29204 | − | 1.56854i | 0.258647 | − | 0.123236i | ||||
\(163\) | 3.83636 | + | 14.3175i | 0.300487 | + | 1.12143i | 0.936761 | + | 0.349970i | \(0.113808\pi\) |
−0.636274 | + | 0.771463i | \(0.719525\pi\) | |||||||
\(164\) | 16.6716 | − | 4.46713i | 1.30183 | − | 0.348824i | ||||
\(165\) | 4.25211 | + | 9.06943i | 0.331026 | + | 0.706054i | ||||
\(166\) | 1.16697 | + | 0.673748i | 0.0905741 | + | 0.0522930i | ||||
\(167\) | 1.91163 | − | 0.512220i | 0.147926 | − | 0.0396368i | −0.184096 | − | 0.982908i | \(-0.558936\pi\) |
0.332022 | + | 0.943272i | \(0.392269\pi\) | |||||||
\(168\) | −2.25409 | − | 4.80781i | −0.173907 | − | 0.370930i | ||||
\(169\) | −11.3485 | − | 6.34133i | −0.872958 | − | 0.487795i | ||||
\(170\) | − | 4.86313i | − | 0.372985i | ||||||
\(171\) | −12.4019 | + | 1.13697i | −0.948394 | + | 0.0869460i | ||||
\(172\) | 5.75743 | + | 9.97217i | 0.439000 | + | 0.760370i | ||||
\(173\) | 6.43009 | + | 11.1372i | 0.488871 | + | 0.846749i | 0.999918 | − | 0.0128037i | \(-0.00407567\pi\) |
−0.511047 | + | 0.859553i | \(0.670742\pi\) | |||||||
\(174\) | 0.0123273 | + | 0.0146293i | 0.000934532 | + | 0.00110904i | ||||
\(175\) | −0.957111 | − | 0.957111i | −0.0723508 | − | 0.0723508i | ||||
\(176\) | 5.98921 | + | 5.98921i | 0.451454 | + | 0.451454i | ||||
\(177\) | 15.3658 | + | 18.2352i | 1.15496 | + | 1.37064i | ||||
\(178\) | 0.446070 | + | 0.772616i | 0.0334344 | + | 0.0579100i | ||||
\(179\) | 8.57752 | + | 14.8567i | 0.641114 | + | 1.11044i | 0.985184 | + | 0.171498i | \(0.0548607\pi\) |
−0.344071 | + | 0.938944i | \(0.611806\pi\) | |||||||
\(180\) | −4.79116 | + | 10.3871i | −0.357112 | + | 0.774212i | ||||
\(181\) | 2.95175i | 0.219402i | 0.993965 | + | 0.109701i | \(0.0349893\pi\) | ||||
−0.993965 | + | 0.109701i | \(0.965011\pi\) | |||||||
\(182\) | 0.765349 | + | 2.77818i | 0.0567314 | + | 0.205932i | ||||
\(183\) | −6.82455 | − | 14.5563i | −0.504485 | − | 1.07603i | ||||
\(184\) | 4.40017 | − | 1.17902i | 0.324384 | − | 0.0869186i | ||||
\(185\) | 12.3565 | + | 7.13404i | 0.908470 | + | 0.524505i | ||||
\(186\) | 1.38632 | + | 2.95691i | 0.101650 | + | 0.216811i | ||||
\(187\) | −15.5424 | + | 4.16457i | −1.13657 | + | 0.304544i | ||||
\(188\) | −2.09880 | − | 7.83282i | −0.153070 | − | 0.571267i | ||||
\(189\) | −8.90819 | − | 5.06938i | −0.647976 | − | 0.368743i | ||||
\(190\) | −2.47028 | + | 2.47028i | −0.179213 | + | 0.179213i | ||||
\(191\) | 3.48168 | − | 2.01015i | 0.251926 | − | 0.145449i | −0.368720 | − | 0.929541i | \(-0.620204\pi\) |
0.620646 | + | 0.784091i | \(0.286871\pi\) | |||||||
\(192\) | −0.637389 | + | 7.46396i | −0.0459996 | + | 0.538665i | ||||
\(193\) | −4.10567 | − | 15.3226i | −0.295533 | − | 1.10294i | −0.940793 | − | 0.338981i | \(-0.889918\pi\) |
0.645260 | − | 0.763963i | \(-0.276749\pi\) | |||||||
\(194\) | −2.47761 | − | 4.29134i | −0.177882 | − | 0.308101i | ||||
\(195\) | 7.34272 | − | 10.6922i | 0.525823 | − | 0.765683i | ||||
\(196\) | 2.85388 | − | 4.94307i | 0.203849 | − | 0.353076i | ||||
\(197\) | −14.8985 | − | 3.99204i | −1.06148 | − | 0.284421i | −0.314489 | − | 0.949261i | \(-0.601833\pi\) |
−0.746986 | + | 0.664840i | \(0.768500\pi\) | |||||||
\(198\) | −3.33557 | − | 0.573871i | −0.237049 | − | 0.0407833i | ||||
\(199\) | 10.6715 | + | 6.16118i | 0.756481 | + | 0.436755i | 0.828031 | − | 0.560682i | \(-0.189461\pi\) |
−0.0715498 | + | 0.997437i | \(0.522794\pi\) | |||||||
\(200\) | −0.276029 | − | 1.03016i | −0.0195182 | − | 0.0728430i | ||||
\(201\) | −11.2994 | + | 2.01661i | −0.797001 | + | 0.142241i | ||||
\(202\) | −3.35387 | + | 3.35387i | −0.235977 | + | 0.235977i | ||||
\(203\) | 0.0139169 | − | 0.0519385i | 0.000976773 | − | 0.00364537i | ||||
\(204\) | −15.0739 | − | 10.5083i | −1.05539 | − | 0.735726i | ||||
\(205\) | − | 19.5268i | − | 1.36381i | ||||||
\(206\) | −0.847332 | + | 3.16229i | −0.0590364 | + | 0.220327i | ||||
\(207\) | 5.62403 | − | 6.75929i | 0.390897 | − | 0.469803i | ||||
\(208\) | 2.76426 | − | 10.6138i | 0.191667 | − | 0.735933i | ||||
\(209\) | 10.0104 | + | 5.77948i | 0.692431 | + | 0.399775i | ||||
\(210\) | −2.83045 | + | 0.505150i | −0.195319 | + | 0.0348586i | ||||
\(211\) | −11.4740 | + | 19.8736i | −0.789903 | + | 1.36815i | 0.136122 | + | 0.990692i | \(0.456536\pi\) |
−0.926026 | + | 0.377461i | \(0.876797\pi\) | |||||||
\(212\) | −15.8969 | −1.09181 | ||||||||
\(213\) | −2.90078 | − | 16.2536i | −0.198758 | − | 1.11368i | ||||
\(214\) | −0.370839 | + | 1.38399i | −0.0253500 | + | 0.0946075i | ||||
\(215\) | 12.5835 | − | 3.37173i | 0.858185 | − | 0.229950i | ||||
\(216\) | −4.08144 | − | 6.96860i | −0.277707 | − | 0.474153i | ||||
\(217\) | 4.58956 | − | 7.94935i | 0.311560 | − | 0.539637i | ||||
\(218\) | −2.04392 | −0.138432 | ||||||||
\(219\) | −1.30491 | + | 1.09958i | −0.0881775 | + | 0.0743024i | ||||
\(220\) | 9.19451 | − | 5.30845i | 0.619894 | − | 0.357896i | ||||
\(221\) | 14.8362 | + | 14.6294i | 0.997989 | + | 0.984078i | ||||
\(222\) | −4.36514 | + | 2.04655i | −0.292969 | + | 0.137355i | ||||
\(223\) | 14.8498 | + | 14.8498i | 0.994414 | + | 0.994414i | 0.999984 | − | 0.00557092i | \(-0.00177329\pi\) |
−0.00557092 | + | 0.999984i | \(0.501773\pi\) | |||||||
\(224\) | −7.41547 | + | 4.28132i | −0.495467 | + | 0.286058i | ||||
\(225\) | −1.58247 | − | 1.31668i | −0.105498 | − | 0.0877788i | ||||
\(226\) | 4.20333 | + | 4.20333i | 0.279601 | + | 0.279601i | ||||
\(227\) | −27.7434 | − | 7.43381i | −1.84139 | − | 0.493399i | −0.842424 | − | 0.538816i | \(-0.818872\pi\) |
−0.998968 | + | 0.0454160i | \(0.985539\pi\) | |||||||
\(228\) | 2.31917 | + | 12.9947i | 0.153591 | + | 0.860598i | ||||
\(229\) | 7.21566 | + | 1.93343i | 0.476824 | + | 0.127765i | 0.489223 | − | 0.872159i | \(-0.337280\pi\) |
−0.0123994 | + | 0.999923i | \(0.503947\pi\) | |||||||
\(230\) | − | 2.46658i | − | 0.162642i | ||||||
\(231\) | 4.03831 | + | 8.61342i | 0.265701 | + | 0.566721i | ||||
\(232\) | 0.0299579 | − | 0.0299579i | 0.00196683 | − | 0.00196683i | ||||
\(233\) | 6.28380 | 0.411666 | 0.205833 | − | 0.978587i | \(-0.434010\pi\) | ||||
0.205833 | + | 0.978587i | \(0.434010\pi\) | |||||||
\(234\) | 1.54489 | + | 4.10137i | 0.100993 | + | 0.268115i | ||||
\(235\) | −9.17428 | −0.598464 | ||||||||
\(236\) | 17.8719 | − | 17.8719i | 1.16336 | − | 1.16336i | ||||
\(237\) | 12.8155 | − | 18.3837i | 0.832459 | − | 1.19415i | ||||
\(238\) | − | 4.61861i | − | 0.299380i | ||||||
\(239\) | 4.67278 | + | 1.25207i | 0.302257 | + | 0.0809894i | 0.406760 | − | 0.913535i | \(-0.366659\pi\) |
−0.104503 | + | 0.994525i | \(0.533325\pi\) | |||||||
\(240\) | 10.2909 | + | 3.72138i | 0.664274 | + | 0.240214i | ||||
\(241\) | −9.07485 | − | 2.43160i | −0.584563 | − | 0.156633i | −0.0455956 | − | 0.998960i | \(-0.514519\pi\) |
−0.538967 | + | 0.842327i | \(0.681185\pi\) | |||||||
\(242\) | −0.930274 | − | 0.930274i | −0.0598003 | − | 0.0598003i | ||||
\(243\) | −14.1956 | − | 6.44086i | −0.910649 | − | 0.413181i | ||||
\(244\) | −14.7570 | + | 8.51996i | −0.944721 | + | 0.545435i | ||||
\(245\) | −4.56613 | − | 4.56613i | −0.291720 | − | 0.291720i | ||||
\(246\) | 5.41257 | + | 3.77319i | 0.345093 | + | 0.240570i | ||||
\(247\) | −0.105048 | − | 14.9673i | −0.00668404 | − | 0.952348i | ||||
\(248\) | 6.26345 | − | 3.61620i | 0.397729 | − | 0.229629i | ||||
\(249\) | −1.01204 | − | 5.67063i | −0.0641353 | − | 0.359362i | ||||
\(250\) | −4.78520 | −0.302642 | ||||||||
\(251\) | 1.72591 | − | 2.98936i | 0.108938 | − | 0.188687i | −0.806402 | − | 0.591368i | \(-0.798588\pi\) |
0.915340 | + | 0.402681i | \(0.131922\pi\) | |||||||
\(252\) | −4.55026 | + | 9.86488i | −0.286640 | + | 0.621429i | ||||
\(253\) | −7.88311 | + | 2.11227i | −0.495607 | + | 0.132798i | ||||
\(254\) | 0.878490 | − | 3.27857i | 0.0551214 | − | 0.205716i | ||||
\(255\) | −15.8973 | + | 13.3958i | −0.995530 | + | 0.838879i | ||||
\(256\) | 4.42225 | 0.276391 | ||||||||
\(257\) | −7.37423 | + | 12.7725i | −0.459992 | + | 0.796730i | −0.998960 | − | 0.0455966i | \(-0.985481\pi\) |
0.538968 | + | 0.842326i | \(0.318814\pi\) | |||||||
\(258\) | −1.49692 | + | 4.13950i | −0.0931944 | + | 0.257714i | ||||
\(259\) | 11.7352 | + | 6.77534i | 0.729192 | + | 0.420999i | ||||
\(260\) | −11.9539 | − | 6.79018i | −0.741350 | − | 0.421109i | ||||
\(261\) | 0.0138660 | − | 0.0805948i | 0.000858284 | − | 0.00498869i | ||||
\(262\) | 2.04544 | − | 7.63368i | 0.126368 | − | 0.471611i | ||||
\(263\) | − | 10.9010i | − | 0.672187i | −0.941829 | − | 0.336094i | \(-0.890894\pi\) | ||
0.941829 | − | 0.336094i | \(-0.109106\pi\) | |||||||
\(264\) | −0.637766 | + | 7.46836i | −0.0392518 | + | 0.459646i | ||||
\(265\) | −4.65487 | + | 17.3722i | −0.285946 | + | 1.06717i | ||||
\(266\) | −2.34607 | + | 2.34607i | −0.143847 | + | 0.143847i | ||||
\(267\) | 1.29691 | − | 3.58640i | 0.0793697 | − | 0.219484i | ||||
\(268\) | 3.14872 | + | 11.7512i | 0.192338 | + | 0.717817i | ||||
\(269\) | −26.4194 | − | 15.2532i | −1.61082 | − | 0.930006i | −0.989181 | − | 0.146701i | \(-0.953135\pi\) |
−0.621637 | − | 0.783306i | \(-0.713532\pi\) | |||||||
\(270\) | −4.21666 | + | 1.15807i | −0.256618 | + | 0.0704777i | ||||
\(271\) | −0.434695 | − | 0.116476i | −0.0264059 | − | 0.00707543i | 0.245592 | − | 0.969373i | \(-0.421018\pi\) |
−0.271998 | + | 0.962298i | \(0.587684\pi\) | |||||||
\(272\) | −8.78937 | + | 15.2236i | −0.532934 | + | 0.923068i | ||||
\(273\) | 6.97353 | − | 10.1546i | 0.422057 | − | 0.614583i | ||||
\(274\) | −0.844251 | − | 1.46229i | −0.0510031 | − | 0.0883400i | ||||
\(275\) | 0.494520 | + | 1.84557i | 0.0298207 | + | 0.111292i | ||||
\(276\) | −7.64550 | − | 5.32980i | −0.460205 | − | 0.320816i | ||||
\(277\) | 19.2306 | − | 11.1028i | 1.15545 | − | 0.667102i | 0.205244 | − | 0.978711i | \(-0.434201\pi\) |
0.950211 | + | 0.311609i | \(0.100868\pi\) | |||||||
\(278\) | −1.47289 | + | 1.47289i | −0.0883378 | + | 0.0883378i | ||||
\(279\) | 5.84729 | − | 12.6768i | 0.350068 | − | 0.758940i | ||||
\(280\) | 1.64801 | + | 6.15044i | 0.0984871 | + | 0.367559i | ||||
\(281\) | −14.4025 | + | 3.85914i | −0.859182 | + | 0.230217i | −0.661404 | − | 0.750030i | \(-0.730039\pi\) |
−0.197778 | + | 0.980247i | \(0.563372\pi\) | |||||||
\(282\) | 1.77276 | − | 2.54299i | 0.105566 | − | 0.151433i | ||||
\(283\) | −11.3008 | − | 6.52451i | −0.671762 | − | 0.387842i | 0.124982 | − | 0.992159i | \(-0.460113\pi\) |
−0.796744 | + | 0.604317i | \(0.793446\pi\) | |||||||
\(284\) | −16.9034 | + | 4.52924i | −1.00303 | + | 0.268761i | ||||
\(285\) | 14.8798 | + | 1.27067i | 0.881401 | + | 0.0752678i | ||||
\(286\) | 1.02521 | − | 3.93644i | 0.0606220 | − | 0.232767i | ||||
\(287\) | − | 18.5450i | − | 1.09467i | ||||||
\(288\) | −10.6365 | + | 7.51382i | −0.626762 | + | 0.442756i | ||||
\(289\) | −8.19733 | − | 14.1982i | −0.482196 | − | 0.835188i | ||||
\(290\) | −0.0114701 | − | 0.0198668i | −0.000673548 | − | 0.00116662i | ||||
\(291\) | −7.20345 | + | 19.9200i | −0.422274 | + | 1.16773i | ||||
\(292\) | 1.27891 | + | 1.27891i | 0.0748427 | + | 0.0748427i | ||||
\(293\) | −14.5729 | − | 14.5729i | −0.851360 | − | 0.851360i | 0.138940 | − | 0.990301i | \(-0.455630\pi\) |
−0.990301 | + | 0.138940i | \(0.955630\pi\) | |||||||
\(294\) | 2.14800 | − | 0.383352i | 0.125274 | − | 0.0223576i | ||||
\(295\) | −14.2973 | − | 24.7637i | −0.832421 | − | 1.44180i | ||||
\(296\) | 5.33842 | + | 9.24641i | 0.310289 | + | 0.537437i | ||||
\(297\) | 7.31210 | + | 12.4846i | 0.424291 | + | 0.724429i | ||||
\(298\) | − | 0.251653i | − | 0.0145779i | ||||||
\(299\) | 7.52492 | + | 7.42003i | 0.435177 | + | 0.429111i | ||||
\(300\) | −1.24780 | + | 1.78995i | −0.0720417 | + | 0.103343i | ||||
\(301\) | 11.9508 | − | 3.20220i | 0.688831 | − | 0.184572i | ||||
\(302\) | 3.45199 | + | 1.99301i | 0.198640 | + | 0.114685i | ||||
\(303\) | 20.2021 | + | 1.72517i | 1.16058 | + | 0.0991083i | ||||
\(304\) | 12.1976 | − | 3.26835i | 0.699583 | − | 0.187453i | ||||
\(305\) | 4.98955 | + | 18.6213i | 0.285701 | + | 1.06625i | ||||
\(306\) | −0.641284 | − | 6.99504i | −0.0366598 | − | 0.399880i | ||||
\(307\) | 6.08464 | − | 6.08464i | 0.347269 | − | 0.347269i | −0.511822 | − | 0.859091i | \(-0.671029\pi\) |
0.859091 | + | 0.511822i | \(0.171029\pi\) | |||||||
\(308\) | 8.73221 | − | 5.04154i | 0.497564 | − | 0.287269i | ||||
\(309\) | 12.6714 | − | 5.94084i | 0.720850 | − | 0.337963i | ||||
\(310\) | −1.01356 | − | 3.78266i | −0.0575664 | − | 0.214841i | ||||
\(311\) | 0.349663 | + | 0.605634i | 0.0198276 | + | 0.0343423i | 0.875769 | − | 0.482731i | \(-0.160355\pi\) |
−0.855941 | + | 0.517073i | \(0.827022\pi\) | |||||||
\(312\) | 8.75893 | − | 4.18177i | 0.495877 | − | 0.236746i | ||||
\(313\) | −10.7052 | + | 18.5420i | −0.605094 | + | 1.04805i | 0.386943 | + | 0.922104i | \(0.373531\pi\) |
−0.992037 | + | 0.125949i | \(0.959802\pi\) | |||||||
\(314\) | 6.54874 | + | 1.75473i | 0.369567 | + | 0.0990251i | ||||
\(315\) | 9.44797 | + | 7.86112i | 0.532333 | + | 0.442924i | ||||
\(316\) | −20.5702 | − | 11.8762i | −1.15717 | − | 0.668090i | ||||
\(317\) | 6.48972 | + | 24.2200i | 0.364499 | + | 1.36033i | 0.868099 | + | 0.496392i | \(0.165342\pi\) |
−0.503600 | + | 0.863937i | \(0.667991\pi\) | |||||||
\(318\) | −3.91589 | − | 4.64713i | −0.219592 | − | 0.260598i | ||||
\(319\) | −0.0536711 | + | 0.0536711i | −0.00300501 | + | 0.00300501i | ||||
\(320\) | 2.32494 | − | 8.67681i | 0.129968 | − | 0.485048i | ||||
\(321\) | 5.54569 | − | 2.60004i | 0.309530 | − | 0.145120i | ||||
\(322\) | − | 2.34256i | − | 0.130546i | ||||||
\(323\) | −6.20895 | + | 23.1721i | −0.345475 | + | 1.28933i | ||||
\(324\) | −5.52180 | + | 15.5725i | −0.306767 | + | 0.865137i | ||||
\(325\) | 1.73716 | − | 1.76171i | 0.0963601 | − | 0.0977223i | ||||
\(326\) | 5.20118 | + | 3.00290i | 0.288067 | + | 0.166315i | ||||
\(327\) | 5.63013 | + | 6.68149i | 0.311347 | + | 0.369487i | ||||
\(328\) | 7.30596 | − | 12.6543i | 0.403404 | − | 0.698716i | ||||
\(329\) | −8.71299 | −0.480363 | ||||||||
\(330\) | 3.81669 | + | 1.38019i | 0.210102 | + | 0.0759769i | ||||
\(331\) | 2.70198 | − | 10.0839i | 0.148514 | − | 0.554263i | −0.851059 | − | 0.525069i | \(-0.824039\pi\) |
0.999574 | − | 0.0291938i | \(-0.00929401\pi\) | |||||||
\(332\) | −5.89733 | + | 1.58019i | −0.323658 | + | 0.0867240i | ||||
\(333\) | 18.7141 | + | 8.63206i | 1.02553 | + | 0.473034i | ||||
\(334\) | 0.400939 | − | 0.694446i | 0.0219384 | − | 0.0379984i | ||||
\(335\) | 13.7637 | 0.751991 | ||||||||
\(336\) | 9.77346 | + | 3.53427i | 0.533186 | + | 0.192810i | ||||
\(337\) | 11.9865 | − | 6.92043i | 0.652948 | − | 0.376980i | −0.136637 | − | 0.990621i | \(-0.543629\pi\) |
0.789585 | + | 0.613641i | \(0.210296\pi\) | |||||||
\(338\) | −5.06822 | + | 1.43457i | −0.275675 | + | 0.0780302i | ||||
\(339\) | 2.16212 | − | 25.3188i | 0.117430 | − | 1.37513i | ||||
\(340\) | 15.5807 | + | 15.5807i | 0.844980 | + | 0.844980i | ||||
\(341\) | −11.2213 | + | 6.47860i | −0.607666 | + | 0.350836i | ||||
\(342\) | −3.22745 | + | 3.87895i | −0.174521 | + | 0.209749i | ||||
\(343\) | −14.1001 | − | 14.1001i | −0.761335 | − | 0.761335i | ||||
\(344\) | 9.41623 | + | 2.52307i | 0.507689 | + | 0.136035i | ||||
\(345\) | −8.06314 | + | 6.79437i | −0.434105 | + | 0.365797i | ||||
\(346\) | 5.03313 | + | 1.34862i | 0.270583 | + | 0.0725025i | ||||
\(347\) | 4.08070i | 0.219063i | 0.993983 | + | 0.109532i | \(0.0349351\pi\) | ||||
−0.993983 | + | 0.109532i | \(0.965065\pi\) | |||||||
\(348\) | −0.0863645 | − | 0.00737515i | −0.00462962 | − | 0.000395349i | ||||
\(349\) | −4.92767 | + | 4.92767i | −0.263772 | + | 0.263772i | −0.826585 | − | 0.562812i | \(-0.809719\pi\) |
0.562812 | + | 0.826585i | \(0.309719\pi\) | |||||||
\(350\) | −0.548435 | −0.0293151 | ||||||||
\(351\) | 9.15168 | − | 16.3477i | 0.488481 | − | 0.872575i | ||||
\(352\) | 12.0870 | 0.644239 | ||||||||
\(353\) | 7.23489 | − | 7.23489i | 0.385074 | − | 0.385074i | −0.487852 | − | 0.872926i | \(-0.662219\pi\) |
0.872926 | + | 0.487852i | \(0.162219\pi\) | |||||||
\(354\) | 9.62686 | + | 0.822092i | 0.511662 | + | 0.0436937i | ||||
\(355\) | 19.7983i | 1.05078i | ||||||||
\(356\) | −3.90446 | − | 1.04620i | −0.206936 | − | 0.0554484i | ||||
\(357\) | −15.0980 | + | 12.7223i | −0.799072 | + | 0.673335i | ||||
\(358\) | 6.71403 | + | 1.79902i | 0.354847 | + | 0.0950811i | ||||
\(359\) | 13.1160 | + | 13.1160i | 0.692237 | + | 0.692237i | 0.962724 | − | 0.270486i | \(-0.0871845\pi\) |
−0.270486 | + | 0.962724i | \(0.587184\pi\) | |||||||
\(360\) | 3.34993 | + | 9.08621i | 0.176557 | + | 0.478885i | ||||
\(361\) | −1.53007 | + | 0.883389i | −0.0805302 | + | 0.0464941i | ||||
\(362\) | 0.845692 | + | 0.845692i | 0.0444486 | + | 0.0444486i | ||||
\(363\) | −0.478516 | + | 5.60352i | −0.0251156 | + | 0.294109i | ||||
\(364\) | −11.3529 | − | 6.44877i | −0.595052 | − | 0.338007i | ||||
\(365\) | 1.77208 | − | 1.02311i | 0.0927551 | − | 0.0535522i | ||||
\(366\) | −6.12571 | − | 2.21518i | −0.320196 | − | 0.115789i | ||||
\(367\) | −0.345131 | −0.0180157 | −0.00900784 | − | 0.999959i | \(-0.502867\pi\) | ||||
−0.00900784 | + | 0.999959i | \(0.502867\pi\) | |||||||
\(368\) | −4.45797 | + | 7.72143i | −0.232388 | + | 0.402507i | ||||
\(369\) | −2.57493 | − | 28.0869i | −0.134045 | − | 1.46215i | ||||
\(370\) | 5.58415 | − | 1.49627i | 0.290306 | − | 0.0777873i | ||||
\(371\) | −4.42082 | + | 16.4987i | −0.229518 | + | 0.856571i | ||||
\(372\) | −13.9150 | − | 5.03192i | −0.721457 | − | 0.260893i | ||||
\(373\) | 1.14621 | 0.0593486 | 0.0296743 | − | 0.999560i | \(-0.490553\pi\) | ||||
0.0296743 | + | 0.999560i | \(0.490553\pi\) | |||||||
\(374\) | −3.25981 | + | 5.64615i | −0.168561 | + | 0.291956i | ||||
\(375\) | 13.1812 | + | 15.6426i | 0.680672 | + | 0.807779i | ||||
\(376\) | −5.94538 | − | 3.43257i | −0.306609 | − | 0.177021i | ||||
\(377\) | 0.0951132 | + | 0.0247714i | 0.00489858 | + | 0.00127579i | ||||
\(378\) | −4.00465 | + | 1.09984i | −0.205977 | + | 0.0565696i | ||||
\(379\) | −4.88833 | + | 18.2435i | −0.251097 | + | 0.937105i | 0.719124 | + | 0.694882i | \(0.244543\pi\) |
−0.970221 | + | 0.242223i | \(0.922123\pi\) | |||||||
\(380\) | − | 15.8287i | − | 0.811996i | ||||||
\(381\) | −13.1373 | + | 6.15930i | −0.673047 | + | 0.315551i | ||||
\(382\) | 0.421602 | − | 1.57344i | 0.0215710 | − | 0.0805042i | ||||
\(383\) | 21.4489 | − | 21.4489i | 1.09599 | − | 1.09599i | 0.101112 | − | 0.994875i | \(-0.467760\pi\) |
0.994875 | − | 0.101112i | \(-0.0322399\pi\) | |||||||
\(384\) | 11.6456 | + | 13.8203i | 0.594288 | + | 0.705264i | ||||
\(385\) | −2.95248 | − | 11.0188i | −0.150472 | − | 0.561571i | ||||
\(386\) | −5.56630 | − | 3.21370i | −0.283317 | − | 0.163573i | ||||
\(387\) | 17.6552 | − | 6.50917i | 0.897464 | − | 0.330880i | ||||
\(388\) | 21.6866 | + | 5.81090i | 1.10097 | + | 0.295004i | ||||
\(389\) | 1.94710 | − | 3.37247i | 0.0987217 | − | 0.170991i | −0.812434 | − | 0.583053i | \(-0.801858\pi\) |
0.911156 | + | 0.412062i | \(0.135191\pi\) | |||||||
\(390\) | −0.959638 | − | 5.16709i | −0.0485931 | − | 0.261646i | ||||
\(391\) | −8.46890 | − | 14.6686i | −0.428290 | − | 0.741821i | ||||
\(392\) | −1.25065 | − | 4.66750i | −0.0631675 | − | 0.235744i | ||||
\(393\) | −30.5884 | + | 14.3411i | −1.54298 | + | 0.723411i | ||||
\(394\) | −5.41224 | + | 3.12476i | −0.272665 | + | 0.157423i | ||||
\(395\) | −19.0016 | + | 19.0016i | −0.956077 | + | 0.956077i | ||||
\(396\) | 12.5252 | − | 8.84803i | 0.629415 | − | 0.444630i | ||||
\(397\) | −6.68334 | − | 24.9426i | −0.335427 | − | 1.25183i | −0.903405 | − | 0.428788i | \(-0.858941\pi\) |
0.567978 | − | 0.823044i | \(-0.307726\pi\) | |||||||
\(398\) | 4.82265 | − | 1.29222i | 0.241737 | − | 0.0647733i | ||||
\(399\) | 14.1316 | + | 1.20678i | 0.707465 | + | 0.0604144i | ||||
\(400\) | 1.80772 | + | 1.04369i | 0.0903861 | + | 0.0521844i | ||||
\(401\) | −7.98552 | + | 2.13971i | −0.398778 | + | 0.106852i | −0.452634 | − | 0.891697i | \(-0.649515\pi\) |
0.0538559 | + | 0.998549i | \(0.482849\pi\) | |||||||
\(402\) | −2.65958 | + | 3.81512i | −0.132648 | + | 0.190281i | ||||
\(403\) | 14.5889 | + | 8.28695i | 0.726727 | + | 0.412803i | ||||
\(404\) | − | 21.4904i | − | 1.06919i | ||||||
\(405\) | 15.4007 | + | 10.5941i | 0.765269 | + | 0.526424i | ||||
\(406\) | −0.0108934 | − | 0.0188679i | −0.000540630 | − | 0.000936398i | ||||
\(407\) | −9.56404 | − | 16.5654i | −0.474072 | − | 0.821117i | ||||
\(408\) | −15.3143 | + | 2.73314i | −0.758171 | + | 0.135311i | ||||
\(409\) | −16.7829 | − | 16.7829i | −0.829860 | − | 0.829860i | 0.157637 | − | 0.987497i | \(-0.449612\pi\) |
−0.987497 | + | 0.157637i | \(0.949612\pi\) | |||||||
\(410\) | −5.59452 | − | 5.59452i | −0.276294 | − | 0.276294i | ||||
\(411\) | −2.45459 | + | 6.78778i | −0.121076 | + | 0.334817i | ||||
\(412\) | −7.41672 | − | 12.8461i | −0.365396 | − | 0.632884i | ||||
\(413\) | −13.5784 | − | 23.5185i | −0.668151 | − | 1.15727i | ||||
\(414\) | −0.325260 | − | 3.54789i | −0.0159856 | − | 0.174369i | ||||
\(415\) | 6.90732i | 0.339067i | ||||||||
\(416\) | −7.92066 | − | 13.4993i | −0.388342 | − | 0.661857i | ||||
\(417\) | 8.87195 | + | 0.757626i | 0.434461 | + | 0.0371011i | ||||
\(418\) | 4.52387 | − | 1.21217i | 0.221270 | − | 0.0592891i | ||||
\(419\) | 32.2951 | + | 18.6456i | 1.57772 | + | 0.910896i | 0.995177 | + | 0.0980943i | \(0.0312747\pi\) |
0.582541 | + | 0.812801i | \(0.302059\pi\) | |||||||
\(420\) | 7.44986 | − | 10.6867i | 0.363516 | − | 0.521457i | ||||
\(421\) | −23.8978 | + | 6.40339i | −1.16471 | + | 0.312082i | −0.788844 | − | 0.614594i | \(-0.789320\pi\) |
−0.375862 | + | 0.926676i | \(0.622653\pi\) | |||||||
\(422\) | 2.40652 | + | 8.98125i | 0.117147 | + | 0.437200i | ||||
\(423\) | −13.1961 | + | 1.20978i | −0.641616 | + | 0.0588215i | ||||
\(424\) | −9.51641 | + | 9.51641i | −0.462158 | + | 0.462158i | ||||
\(425\) | −3.43416 | + | 1.98272i | −0.166581 | + | 0.0961758i | ||||
\(426\) | −5.48783 | − | 3.82565i | −0.265886 | − | 0.185353i | ||||
\(427\) | 4.73868 | + | 17.6850i | 0.229321 | + | 0.855836i | ||||
\(428\) | −3.24596 | − | 5.62217i | −0.156899 | − | 0.271758i | ||||
\(429\) | −15.6921 | + | 7.49184i | −0.757619 | + | 0.361709i | ||||
\(430\) | 2.63921 | − | 4.57125i | 0.127274 | − | 0.220445i | ||||
\(431\) | −4.14613 | − | 1.11095i | −0.199712 | − | 0.0535127i | 0.157576 | − | 0.987507i | \(-0.449632\pi\) |
−0.357288 | + | 0.933994i | \(0.616299\pi\) | |||||||
\(432\) | 15.2929 | + | 3.99574i | 0.735782 | + | 0.192245i | ||||
\(433\) | 6.59375 | + | 3.80690i | 0.316875 | + | 0.182948i | 0.649999 | − | 0.759935i | \(-0.274769\pi\) |
−0.333124 | + | 0.942883i | \(0.608103\pi\) | |||||||
\(434\) | −0.962598 | − | 3.59247i | −0.0462062 | − | 0.172444i | ||||
\(435\) | −0.0333484 | + | 0.0922197i | −0.00159893 | + | 0.00442160i | ||||
\(436\) | 6.54839 | − | 6.54839i | 0.313611 | − | 0.313611i | ||||
\(437\) | −3.14918 | + | 11.7529i | −0.150646 | + | 0.562218i | ||||
\(438\) | −0.0588288 | + | 0.688897i | −0.00281095 | + | 0.0329168i | ||||
\(439\) | 26.6268i | 1.27083i | 0.772171 | + | 0.635415i | \(0.219171\pi\) | ||||
−0.772171 | + | 0.635415i | \(0.780829\pi\) | |||||||
\(440\) | 2.32632 | − | 8.68193i | 0.110903 | − | 0.413895i | ||||
\(441\) | −7.16996 | − | 5.96572i | −0.341427 | − | 0.284082i | ||||
\(442\) | 8.44204 | − | 0.0592503i | 0.401547 | − | 0.00281825i | ||||
\(443\) | −6.42528 | − | 3.70964i | −0.305274 | − | 0.176250i | 0.339535 | − | 0.940593i | \(-0.389730\pi\) |
−0.644810 | + | 0.764343i | \(0.723063\pi\) | |||||||
\(444\) | 7.42837 | − | 20.5420i | 0.352535 | − | 0.974878i | ||||
\(445\) | −2.28657 | + | 3.96046i | −0.108394 | + | 0.187744i | ||||
\(446\) | 8.50907 | 0.402916 | ||||||||
\(447\) | −0.822641 | + | 0.693195i | −0.0389096 | + | 0.0327870i | ||||
\(448\) | 2.20804 | − | 8.24054i | 0.104320 | − | 0.389329i | ||||
\(449\) | 31.9954 | − | 8.57315i | 1.50996 | − | 0.404592i | 0.593536 | − | 0.804807i | \(-0.297731\pi\) |
0.916421 | + | 0.400216i | \(0.131065\pi\) | |||||||
\(450\) | −0.830622 | + | 0.0761490i | −0.0391559 | + | 0.00358970i | ||||
\(451\) | −13.0890 | + | 22.6708i | −0.616336 | + | 1.06753i | ||||
\(452\) | −26.9335 | −1.26685 | ||||||||
\(453\) | −2.99370 | − | 16.7742i | −0.140656 | − | 0.788123i | ||||
\(454\) | −10.0784 | + | 5.81880i | −0.473005 | + | 0.273090i | ||||
\(455\) | −10.3715 | + | 10.5181i | −0.486224 | + | 0.493098i | ||||
\(456\) | 9.16739 | + | 6.39073i | 0.429302 | + | 0.299274i | ||||
\(457\) | −11.8366 | − | 11.8366i | −0.553694 | − | 0.553694i | 0.373811 | − | 0.927505i | \(-0.378051\pi\) |
−0.927505 | + | 0.373811i | \(0.878051\pi\) | |||||||
\(458\) | 2.62126 | − | 1.51339i | 0.122484 | − | 0.0707159i | ||||
\(459\) | −21.1000 | + | 21.3646i | −0.984862 | + | 0.997216i | ||||
\(460\) | 7.90252 | + | 7.90252i | 0.368457 | + | 0.368457i | ||||
\(461\) | −34.7327 | − | 9.30659i | −1.61766 | − | 0.433451i | −0.667348 | − | 0.744746i | \(-0.732571\pi\) |
−0.950313 | + | 0.311295i | \(0.899237\pi\) | |||||||
\(462\) | 3.62479 | + | 1.31079i | 0.168640 | + | 0.0609836i | ||||
\(463\) | 5.87537 | + | 1.57430i | 0.273052 | + | 0.0731639i | 0.392746 | − | 0.919647i | \(-0.371525\pi\) |
−0.119695 | + | 0.992811i | \(0.538192\pi\) | |||||||
\(464\) | 0.0829218i | 0.00384955i | ||||||||
\(465\) | −9.57340 | + | 13.7329i | −0.443956 | + | 0.636846i | ||||
\(466\) | 1.80034 | − | 1.80034i | 0.0833993 | − | 0.0833993i | ||||
\(467\) | 23.2541 | 1.07607 | 0.538036 | − | 0.842922i | \(-0.319167\pi\) | ||||
0.538036 | + | 0.842922i | \(0.319167\pi\) | |||||||
\(468\) | −18.0897 | − | 8.19055i | −0.836196 | − | 0.378608i | ||||
\(469\) | 13.0716 | 0.603593 | ||||||||
\(470\) | −2.62848 | + | 2.62848i | −0.121243 | + | 0.121243i | ||||
\(471\) | −12.3028 | − | 26.2410i | −0.566884 | − | 1.20912i | ||||
\(472\) | − | 21.3974i | − | 0.984896i | ||||||
\(473\) | −16.8696 | − | 4.52021i | −0.775667 | − | 0.207839i | ||||
\(474\) | −1.59530 | − | 8.93874i | −0.0732743 | − | 0.410570i | ||||
\(475\) | 2.75156 | + | 0.737278i | 0.126250 | + | 0.0338286i | ||||
\(476\) | 14.7973 | + | 14.7973i | 0.678231 | + | 0.678231i | ||||
\(477\) | −4.40466 | + | 25.6017i | −0.201676 | + | 1.17222i | ||||
\(478\) | 1.69750 | − | 0.980051i | 0.0776418 | − | 0.0448265i | ||||
\(479\) | 9.59779 | + | 9.59779i | 0.438534 | + | 0.438534i | 0.891519 | − | 0.452984i | \(-0.149641\pi\) |
−0.452984 | + | 0.891519i | \(0.649641\pi\) | |||||||
\(480\) | 14.1393 | − | 6.62905i | 0.645366 | − | 0.302573i | ||||
\(481\) | −12.2336 | + | 21.5369i | −0.557805 | + | 0.981999i | ||||
\(482\) | −3.29666 | + | 1.90333i | −0.150159 | + | 0.0866942i | ||||
\(483\) | −7.65772 | + | 6.45275i | −0.348438 | + | 0.293610i | ||||
\(484\) | 5.96088 | 0.270949 | ||||||||
\(485\) | 12.7003 | − | 21.9976i | 0.576692 | − | 0.998860i | ||||
\(486\) | −5.91246 | + | 2.22178i | −0.268195 | + | 0.100782i | ||||
\(487\) | 16.9260 | − | 4.53531i | 0.766990 | − | 0.205514i | 0.145949 | − | 0.989292i | \(-0.453377\pi\) |
0.621041 | + | 0.783778i | \(0.286710\pi\) | |||||||
\(488\) | −3.73369 | + | 13.9343i | −0.169016 | + | 0.630777i | ||||
\(489\) | −4.51066 | − | 25.2741i | −0.203979 | − | 1.14293i | ||||
\(490\) | −2.61644 | −0.118199 | ||||||||
\(491\) | 16.5414 | − | 28.6505i | 0.746502 | − | 1.29298i | −0.202988 | − | 0.979181i | \(-0.565065\pi\) |
0.949490 | − | 0.313798i | \(-0.101602\pi\) | |||||||
\(492\) | −29.4296 | + | 5.25230i | −1.32679 | + | 0.236792i | ||||
\(493\) | −0.136423 | − | 0.0787641i | −0.00614420 | − | 0.00354736i | ||||
\(494\) | −4.31832 | − | 4.25812i | −0.194290 | − | 0.191582i | ||||
\(495\) | −6.00157 | − | 16.2784i | −0.269750 | − | 0.731660i | ||||
\(496\) | −3.66371 | + | 13.6731i | −0.164505 | + | 0.613942i | ||||
\(497\) | 18.8028i | 0.843421i | ||||||||
\(498\) | −1.91462 | − | 1.33471i | −0.0857962 | − | 0.0598099i | ||||
\(499\) | 3.32151 | − | 12.3960i | 0.148691 | − | 0.554923i | −0.850872 | − | 0.525373i | \(-0.823926\pi\) |
0.999563 | − | 0.0295500i | \(-0.00940744\pi\) | |||||||
\(500\) | 15.3310 | − | 15.3310i | 0.685622 | − | 0.685622i | ||||
\(501\) | −3.37452 | + | 0.602250i | −0.150762 | + | 0.0269066i | ||||
\(502\) | −0.361986 | − | 1.35095i | −0.0161562 | − | 0.0602959i | ||||
\(503\) | 15.5398 | + | 8.97189i | 0.692884 | + | 0.400037i | 0.804691 | − | 0.593693i | \(-0.202331\pi\) |
−0.111808 | + | 0.993730i | \(0.535664\pi\) | |||||||
\(504\) | 3.18150 | + | 8.62936i | 0.141715 | + | 0.384382i | ||||
\(505\) | −23.4848 | − | 6.29273i | −1.04506 | − | 0.280023i | ||||
\(506\) | −1.65338 | + | 2.86373i | −0.0735015 | + | 0.127308i | ||||
\(507\) | 18.6503 | + | 12.6161i | 0.828288 | + | 0.560303i | ||||
\(508\) | 7.68945 | + | 13.3185i | 0.341164 | + | 0.590914i | ||||
\(509\) | −1.19026 | − | 4.44211i | −0.0527574 | − | 0.196893i | 0.934517 | − | 0.355918i | \(-0.115832\pi\) |
−0.987275 | + | 0.159025i | \(0.949165\pi\) | |||||||
\(510\) | −0.716695 | + | 8.39265i | −0.0317358 | + | 0.371633i | ||||
\(511\) | 1.68298 | − | 0.971671i | 0.0744508 | − | 0.0429842i | ||||
\(512\) | 16.0233 | − | 16.0233i | 0.708135 | − | 0.708135i | ||||
\(513\) | 21.5703 | − | 0.134440i | 0.952353 | − | 0.00593569i | ||||
\(514\) | 1.54665 | + | 5.77216i | 0.0682196 | + | 0.254599i | ||||
\(515\) | −16.2100 | + | 4.34346i | −0.714298 | + | 0.191396i | ||||
\(516\) | −8.46637 | − | 18.0582i | −0.372711 | − | 0.794966i | ||||
\(517\) | 10.6514 | + | 6.14961i | 0.468450 | + | 0.270460i | ||||
\(518\) | 5.30338 | − | 1.42104i | 0.233017 | − | 0.0624367i | ||||
\(519\) | −9.45552 | − | 20.1679i | −0.415051 | − | 0.885274i | ||||
\(520\) | −11.2208 | + | 3.09117i | −0.492065 | + | 0.135557i | ||||
\(521\) | 21.6812i | 0.949869i | 0.880021 | + | 0.474934i | \(0.157528\pi\) | ||||
−0.880021 | + | 0.474934i | \(0.842472\pi\) | |||||||
\(522\) | −0.0191182 | − | 0.0270635i | −0.000836779 | − | 0.00118454i | ||||
\(523\) | 2.49525 | + | 4.32190i | 0.109110 | + | 0.188983i | 0.915410 | − | 0.402523i | \(-0.131867\pi\) |
−0.806300 | + | 0.591507i | \(0.798533\pi\) | |||||||
\(524\) | 17.9038 | + | 31.0103i | 0.782131 | + | 1.35469i | ||||
\(525\) | 1.51070 | + | 1.79281i | 0.0659324 | + | 0.0782445i | ||||
\(526\) | −3.12321 | − | 3.12321i | −0.136178 | − | 0.136178i | ||||
\(527\) | −19.0151 | − | 19.0151i | −0.828312 | − | 0.828312i | ||||
\(528\) | −9.45335 | − | 11.2187i | −0.411404 | − | 0.488229i | ||||
\(529\) | 7.20457 | + | 12.4787i | 0.313242 | + | 0.542551i | ||||
\(530\) | 3.64358 | + | 6.31087i | 0.158267 | + | 0.274127i | ||||
\(531\) | −23.8305 | − | 33.7342i | −1.03415 | − | 1.46394i | ||||
\(532\) | − | 15.0328i | − | 0.651756i | ||||||
\(533\) | 33.8970 | − | 0.237906i | 1.46824 | − | 0.0103048i | ||||
\(534\) | −0.655951 | − | 1.39910i | −0.0283858 | − | 0.0605448i | ||||
\(535\) | −7.09438 | + | 1.90093i | −0.306717 | + | 0.0821846i | ||||
\(536\) | 8.91954 | + | 5.14970i | 0.385265 | + | 0.222433i | ||||
\(537\) | −12.6133 | − | 26.9033i | −0.544306 | − | 1.16096i | ||||
\(538\) | −11.9394 | + | 3.19916i | −0.514745 | + | 0.137926i | ||||
\(539\) | 2.24061 | + | 8.36206i | 0.0965097 | + | 0.360179i | ||||
\(540\) | 9.79923 | − | 17.2197i | 0.421692 | − | 0.741019i | ||||
\(541\) | 22.5983 | − | 22.5983i | 0.971577 | − | 0.971577i | −0.0280298 | − | 0.999607i | \(-0.508923\pi\) |
0.999607 | + | 0.0280298i | \(0.00892333\pi\) | |||||||
\(542\) | −0.157914 | + | 0.0911714i | −0.00678297 | + | 0.00391615i | ||||
\(543\) | 0.435009 | − | 5.09404i | 0.0186680 | − | 0.218606i | ||||
\(544\) | 6.49258 | + | 24.2306i | 0.278367 | + | 1.03888i | ||||
\(545\) | −5.23862 | − | 9.07356i | −0.224398 | − | 0.388669i | ||||
\(546\) | −0.911387 | − | 4.90729i | −0.0390038 | − | 0.210013i | ||||
\(547\) | −1.65957 | + | 2.87445i | −0.0709580 | + | 0.122903i | −0.899321 | − | 0.437288i | \(-0.855939\pi\) |
0.828363 | + | 0.560191i | \(0.189272\pi\) | |||||||
\(548\) | 7.38976 | + | 1.98008i | 0.315675 | + | 0.0845848i | ||||
\(549\) | 9.63240 | + | 26.1265i | 0.411101 | + | 1.11505i | ||||
\(550\) | 0.670449 | + | 0.387084i | 0.0285881 | + | 0.0165053i | ||||
\(551\) | 0.0292887 | + | 0.109307i | 0.00124774 | + | 0.00465662i | ||||
\(552\) | −7.76743 | + | 1.38625i | −0.330604 | + | 0.0590028i | ||||
\(553\) | −18.0462 | + | 18.0462i | −0.767404 | + | 0.767404i | ||||
\(554\) | 2.32866 | − | 8.69068i | 0.0989353 | − | 0.369232i | ||||
\(555\) | −20.2731 | − | 14.1327i | −0.860547 | − | 0.599901i | ||||
\(556\) | − | 9.43775i | − | 0.400250i | ||||||
\(557\) | 6.06419 | − | 22.6319i | 0.256948 | − | 0.958944i | −0.710048 | − | 0.704153i | \(-0.751327\pi\) |
0.966996 | − | 0.254790i | \(-0.0820065\pi\) | |||||||
\(558\) | −1.95669 | − | 5.30725i | −0.0828334 | − | 0.224674i | ||||
\(559\) | 6.00638 | + | 21.8029i | 0.254043 | + | 0.922163i | ||||
\(560\) | −10.7928 | − | 6.23124i | −0.456080 | − | 0.263318i | ||||
\(561\) | 27.4363 | − | 4.89656i | 1.15836 | − | 0.206733i | ||||
\(562\) | −3.02073 | + | 5.23206i | −0.127422 | + | 0.220701i | ||||
\(563\) | 6.03464 | 0.254330 | 0.127165 | − | 0.991882i | \(-0.459412\pi\) | ||||
0.127165 | + | 0.991882i | \(0.459412\pi\) | |||||||
\(564\) | 2.46769 | + | 13.8269i | 0.103909 | + | 0.582219i | ||||
\(565\) | −7.88655 | + | 29.4330i | −0.331790 | + | 1.23826i | ||||
\(566\) | −5.10704 | + | 1.36843i | −0.214665 | + | 0.0575193i | ||||
\(567\) | 14.6264 | + | 10.0614i | 0.614251 | + | 0.422540i | ||||
\(568\) | −7.40754 | + | 12.8302i | −0.310814 | + | 0.538345i | ||||
\(569\) | 11.1365 | 0.466865 | 0.233433 | − | 0.972373i | \(-0.425004\pi\) | ||||
0.233433 | + | 0.972373i | \(0.425004\pi\) | |||||||
\(570\) | 4.62718 | − | 3.89908i | 0.193811 | − | 0.163314i | ||||
\(571\) | 8.38390 | − | 4.84045i | 0.350855 | − | 0.202566i | −0.314207 | − | 0.949355i | \(-0.601738\pi\) |
0.665062 | + | 0.746788i | \(0.268405\pi\) | |||||||
\(572\) | 9.32710 | + | 15.8963i | 0.389986 | + | 0.664658i | ||||
\(573\) | −6.30482 | + | 2.95595i | −0.263388 | + | 0.123487i | ||||
\(574\) | −5.31323 | − | 5.31323i | −0.221770 | − | 0.221770i | ||||
\(575\) | −1.74181 | + | 1.00563i | −0.0726385 | + | 0.0419379i | ||||
\(576\) | 2.19997 | − | 12.7871i | 0.0916656 | − | 0.532797i | ||||
\(577\) | 12.2885 | + | 12.2885i | 0.511579 | + | 0.511579i | 0.915010 | − | 0.403431i | \(-0.132183\pi\) |
−0.403431 | + | 0.915010i | \(0.632183\pi\) | |||||||
\(578\) | −6.41644 | − | 1.71928i | −0.266889 | − | 0.0715126i | ||||
\(579\) | 4.82731 | + | 27.0483i | 0.200616 | + | 1.12409i | ||||
\(580\) | 0.100398 | + | 0.0269016i | 0.00416881 | + | 0.00111703i | ||||
\(581\) | 6.56002i | 0.272155i | ||||||||
\(582\) | 3.64335 | + | 7.77101i | 0.151022 | + | 0.322119i | ||||
\(583\) | 17.0491 | − | 17.0491i | 0.706102 | − | 0.706102i | ||||
\(584\) | 1.53120 | 0.0633613 | ||||||||
\(585\) | −14.2476 | + | 17.3701i | −0.589065 | + | 0.718166i | ||||
\(586\) | −8.35045 | −0.344954 | ||||||||
\(587\) | −23.1920 | + | 23.1920i | −0.957237 | + | 0.957237i | −0.999122 | − | 0.0418854i | \(-0.986664\pi\) |
0.0418854 | + | 0.999122i | \(0.486664\pi\) | |||||||
\(588\) | −5.65362 | + | 8.11001i | −0.233151 | + | 0.334451i | ||||
\(589\) | 19.3179i | 0.795979i | ||||||||
\(590\) | −11.1912 | − | 2.99867i | −0.460733 | − | 0.123453i | ||||
\(591\) | 25.1231 | + | 9.08499i | 1.03343 | + | 0.373707i | ||||
\(592\) | −20.1850 | − | 5.40855i | −0.829598 | − | 0.222290i | ||||
\(593\) | 19.9618 | + | 19.9618i | 0.819732 | + | 0.819732i | 0.986069 | − | 0.166337i | \(-0.0531939\pi\) |
−0.166337 | + | 0.986069i | \(0.553194\pi\) | |||||||
\(594\) | 5.67186 | + | 1.48194i | 0.232719 | + | 0.0608049i | ||||
\(595\) | 20.5033 | − | 11.8376i | 0.840555 | − | 0.485295i | ||||
\(596\) | 0.806254 | + | 0.806254i | 0.0330255 | + | 0.0330255i | ||||
\(597\) | −17.5085 | − | 12.2055i | −0.716576 | − | 0.499537i | ||||
\(598\) | 4.28181 | − | 0.0300518i | 0.175096 | − | 0.00122891i | ||||
\(599\) | −19.7475 | + | 11.4012i | −0.806859 | + | 0.465840i | −0.845864 | − | 0.533399i | \(-0.820915\pi\) |
0.0390047 | + | 0.999239i | \(0.487581\pi\) | |||||||
\(600\) | 0.324546 | + | 1.81849i | 0.0132495 | + | 0.0742395i | ||||
\(601\) | 27.8966 | 1.13793 | 0.568963 | − | 0.822363i | \(-0.307345\pi\) | ||||
0.568963 | + | 0.822363i | \(0.307345\pi\) | |||||||
\(602\) | 2.50651 | − | 4.34140i | 0.102158 | − | 0.176942i | ||||
\(603\) | 19.7974 | − | 1.81497i | 0.806213 | − | 0.0739113i | ||||
\(604\) | −17.4448 | + | 4.67433i | −0.709821 | + | 0.190196i | ||||
\(605\) | 1.74544 | − | 6.51406i | 0.0709622 | − | 0.264834i | ||||
\(606\) | 6.28227 | − | 5.29373i | 0.255200 | − | 0.215043i | ||||
\(607\) | 10.9754 | 0.445476 | 0.222738 | − | 0.974878i | \(-0.428501\pi\) | ||||
0.222738 | + | 0.974878i | \(0.428501\pi\) | |||||||
\(608\) | 9.01023 | − | 15.6062i | 0.365413 | − | 0.632914i | ||||
\(609\) | −0.0316717 | + | 0.0875829i | −0.00128340 | + | 0.00354904i | ||||
\(610\) | 6.76462 | + | 3.90556i | 0.273892 | + | 0.158131i | ||||
\(611\) | −0.111775 | − | 15.9259i | −0.00452195 | − | 0.644291i | ||||
\(612\) | 24.4655 | + | 20.3564i | 0.988959 | + | 0.822857i | ||||
\(613\) | 6.13904 | − | 22.9112i | 0.247953 | − | 0.925375i | −0.723923 | − | 0.689881i | \(-0.757663\pi\) |
0.971876 | − | 0.235493i | \(-0.0756706\pi\) | |||||||
\(614\) | − | 3.48657i | − | 0.140706i | ||||||
\(615\) | −2.87772 | + | 33.6987i | −0.116041 | + | 1.35886i | ||||
\(616\) | 2.20935 | − | 8.24540i | 0.0890172 | − | 0.332217i | ||||
\(617\) | 5.02190 | − | 5.02190i | 0.202174 | − | 0.202174i | −0.598757 | − | 0.800931i | \(-0.704338\pi\) |
0.800931 | + | 0.598757i | \(0.204338\pi\) | |||||||
\(618\) | 1.92834 | − | 5.33250i | 0.0775690 | − | 0.214505i | ||||
\(619\) | −2.12877 | − | 7.94467i | −0.0855624 | − | 0.319323i | 0.909858 | − | 0.414920i | \(-0.136191\pi\) |
−0.995420 | + | 0.0955973i | \(0.969524\pi\) | |||||||
\(620\) | 15.3663 | + | 8.87172i | 0.617124 | + | 0.356297i | ||||
\(621\) | −10.7019 | + | 10.8362i | −0.429453 | + | 0.434840i | ||||
\(622\) | 0.273697 | + | 0.0733370i | 0.0109743 | + | 0.00294055i | ||||
\(623\) | −2.17160 | + | 3.76133i | −0.0870035 | + | 0.150694i | ||||
\(624\) | −6.33466 | + | 17.9095i | −0.253589 | + | 0.716956i | ||||
\(625\) | −10.5491 | − | 18.2715i | −0.421962 | − | 0.730860i | ||||
\(626\) | 2.24527 | + | 8.37946i | 0.0897391 | + | 0.334911i | ||||
\(627\) | −16.4238 | − | 11.4493i | −0.655905 | − | 0.457242i | ||||
\(628\) | −26.6029 | + | 15.3592i | −1.06157 | + | 0.612899i | ||||
\(629\) | 28.0711 | − | 28.0711i | 1.11927 | − | 1.11927i | ||||
\(630\) | 4.95915 | − | 0.454640i | 0.197577 | − | 0.0181133i | ||||
\(631\) | −2.37087 | − | 8.84821i | −0.0943828 | − | 0.352242i | 0.902542 | − | 0.430601i | \(-0.141698\pi\) |
−0.996925 | + | 0.0783596i | \(0.975032\pi\) | |||||||
\(632\) | −19.4235 | + | 5.20451i | −0.772625 | + | 0.207024i | ||||
\(633\) | 22.7303 | − | 32.6062i | 0.903450 | − | 1.29598i | ||||
\(634\) | 8.79849 | + | 5.07981i | 0.349433 | + | 0.201745i | ||||
\(635\) | 16.8061 | − | 4.50318i | 0.666930 | − | 0.178703i | ||||
\(636\) | 27.4345 | + | 2.34278i | 1.08785 | + | 0.0928974i | ||||
\(637\) | 7.87083 | − | 7.98210i | 0.311854 | − | 0.316262i | ||||
\(638\) | 0.0307541i | 0.00121757i | ||||||||
\(639\) | 2.61073 | + | 28.4774i | 0.103279 | + | 1.12655i | ||||
\(640\) | −10.8358 | − | 18.7682i | −0.428323 | − | 0.741877i | ||||
\(641\) | −6.30605 | − | 10.9224i | −0.249074 | − | 0.431409i | 0.714195 | − | 0.699947i | \(-0.246793\pi\) |
−0.963269 | + | 0.268538i | \(0.913460\pi\) | |||||||
\(642\) | 0.843945 | − | 2.33379i | 0.0333078 | − | 0.0921075i | ||||
\(643\) | 16.4044 | + | 16.4044i | 0.646926 | + | 0.646926i | 0.952249 | − | 0.305323i | \(-0.0987644\pi\) |
−0.305323 | + | 0.952249i | \(0.598764\pi\) | |||||||
\(644\) | 7.50518 | + | 7.50518i | 0.295745 | + | 0.295745i | ||||
\(645\) | −22.2131 | + | 3.96436i | −0.874639 | + | 0.156097i | ||||
\(646\) | 4.86004 | + | 8.41783i | 0.191216 | + | 0.331195i | ||||
\(647\) | −6.02571 | − | 10.4368i | −0.236895 | − | 0.410314i | 0.722927 | − | 0.690925i | \(-0.242796\pi\) |
−0.959822 | + | 0.280610i | \(0.909463\pi\) | |||||||
\(648\) | 6.01664 | + | 12.6277i | 0.236356 | + | 0.496063i | ||||
\(649\) | 38.3345i | 1.50476i | ||||||||
\(650\) | −0.00703565 | − | 1.00244i | −0.000275961 | − | 0.0393191i | ||||
\(651\) | −9.09205 | + | 13.0424i | −0.356345 | + | 0.511171i | ||||
\(652\) | −26.2845 | + | 7.04291i | −1.02938 | + | 0.275822i | ||||
\(653\) | −38.2976 | − | 22.1111i | −1.49870 | − | 0.865275i | −0.498702 | − | 0.866774i | \(-0.666190\pi\) |
−0.999999 | + | 0.00149827i | \(0.999523\pi\) | |||||||
\(654\) | 3.52734 | + | 0.301220i | 0.137930 | + | 0.0117786i | ||||
\(655\) | 39.1306 | − | 10.4850i | 1.52896 | − | 0.409683i | ||||
\(656\) | 7.40194 | + | 27.6244i | 0.288997 | + | 1.07855i | ||||
\(657\) | 2.41402 | − | 1.70531i | 0.0941798 | − | 0.0665303i | ||||
\(658\) | −2.49632 | + | 2.49632i | −0.0973166 | + | 0.0973166i | ||||
\(659\) | 15.5471 | − | 8.97611i | 0.605628 | − | 0.349660i | −0.165624 | − | 0.986189i | \(-0.552964\pi\) |
0.771252 | + | 0.636529i | \(0.219631\pi\) | |||||||
\(660\) | −16.6499 | + | 7.80614i | −0.648098 | + | 0.303854i | ||||
\(661\) | −2.88002 | − | 10.7484i | −0.112020 | − | 0.418063i | 0.887027 | − | 0.461718i | \(-0.152767\pi\) |
−0.999047 | + | 0.0436543i | \(0.986100\pi\) | |||||||
\(662\) | −2.11497 | − | 3.66323i | −0.0822006 | − | 0.142376i | ||||
\(663\) | −23.4478 | − | 27.4334i | −0.910639 | − | 1.06542i | ||||
\(664\) | −2.58438 | + | 4.47628i | −0.100293 | + | 0.173713i | ||||
\(665\) | −16.4279 | − | 4.40185i | −0.637047 | − | 0.170696i | ||||
\(666\) | 7.83483 | − | 2.88857i | 0.303593 | − | 0.111930i | ||||
\(667\) | −0.0691941 | − | 0.0399492i | −0.00267920 | − | 0.00154684i | ||||
\(668\) | 0.940348 | + | 3.50943i | 0.0363832 | + | 0.135784i | ||||
\(669\) | −23.4388 | − | 27.8157i | −0.906197 | − | 1.07542i | ||||
\(670\) | 3.94337 | − | 3.94337i | 0.152346 | − | 0.152346i | ||||
\(671\) | 6.68909 | − | 24.9640i | 0.258230 | − | 0.963726i | ||||
\(672\) | 13.4283 | − | 6.29574i | 0.518010 | − | 0.242863i | ||||
\(673\) | 7.43737i | 0.286690i | 0.989673 | + | 0.143345i | \(0.0457858\pi\) | ||||
−0.989673 | + | 0.143345i | \(0.954214\pi\) | |||||||
\(674\) | 1.45147 | − | 5.41695i | 0.0559084 | − | 0.208653i | ||||
\(675\) | 2.53693 | + | 2.50550i | 0.0976465 | + | 0.0964369i | ||||
\(676\) | 11.6416 | − | 20.8338i | 0.447754 | − | 0.801301i | ||||
\(677\) | 20.4211 | + | 11.7901i | 0.784847 | + | 0.453131i | 0.838145 | − | 0.545447i | \(-0.183640\pi\) |
−0.0532985 | + | 0.998579i | \(0.516973\pi\) | |||||||
\(678\) | −6.63452 | − | 7.87344i | −0.254797 | − | 0.302378i | ||||
\(679\) | 12.0618 | − | 20.8916i | 0.462888 | − | 0.801745i | ||||
\(680\) | 18.6541 | 0.715354 | ||||||||
\(681\) | 46.7831 | + | 16.9177i | 1.79273 | + | 0.648287i | ||||
\(682\) | −1.35880 | + | 5.07111i | −0.0520311 | + | 0.194183i | ||||
\(683\) | −16.0795 | + | 4.30850i | −0.615266 | + | 0.164860i | −0.552975 | − | 0.833198i | \(-0.686507\pi\) |
−0.0622913 | + | 0.998058i | \(0.519841\pi\) | |||||||
\(684\) | −2.08728 | − | 22.7677i | −0.0798090 | − | 0.870545i | ||||
\(685\) | 4.32767 | − | 7.49574i | 0.165352 | − | 0.286398i | ||||
\(686\) | −8.07952 | −0.308477 | ||||||||
\(687\) | −12.1676 | − | 4.40005i | −0.464224 | − | 0.167872i | ||||
\(688\) | −16.5237 | + | 9.53994i | −0.629958 | + | 0.363707i | ||||
\(689\) | −30.2136 | − | 7.86885i | −1.15104 | − | 0.299779i | ||||
\(690\) | −0.363508 | + | 4.25676i | −0.0138385 | + | 0.162052i | ||||
\(691\) | −35.4408 | − | 35.4408i | −1.34823 | − | 1.34823i | −0.887581 | − | 0.460651i | \(-0.847616\pi\) |
−0.460651 | − | 0.887581i | \(-0.652384\pi\) | |||||||
\(692\) | −20.4461 | + | 11.8045i | −0.777243 | + | 0.448742i | ||||
\(693\) | −5.69981 | − | 15.4599i | −0.216518 | − | 0.587274i | ||||
\(694\) | 1.16914 | + | 1.16914i | 0.0443800 | + | 0.0443800i | ||||
\(695\) | −10.3136 | − | 2.76352i | −0.391217 | − | 0.104826i | ||||
\(696\) | −0.0561155 | + | 0.0472855i | −0.00212705 | + | 0.00179235i | ||||
\(697\) | −52.4786 | − | 14.0616i | −1.98777 | − | 0.532621i | ||||
\(698\) | 2.82361i | 0.106875i | ||||||||
\(699\) | −10.8444 | − | 0.926064i | −0.410173 | − | 0.0350269i | ||||
\(700\) | 1.75709 | − | 1.75709i | 0.0664119 | − | 0.0664119i | ||||
\(701\) | −29.7762 | −1.12463 | −0.562317 | − | 0.826922i | \(-0.690090\pi\) | ||||
−0.562317 | + | 0.826922i | \(0.690090\pi\) | |||||||
\(702\) | −2.06169 | − | 7.30570i | −0.0778135 | − | 0.275736i | ||||
\(703\) | −28.5180 | −1.07558 | ||||||||
\(704\) | −8.51544 | + | 8.51544i | −0.320938 | + | 0.320938i | ||||
\(705\) | 15.8327 | + | 1.35204i | 0.596293 | + | 0.0509208i | ||||
\(706\) | − | 4.14567i | − | 0.156024i | ||||||
\(707\) | −22.3040 | − | 5.97633i | −0.838827 | − | 0.224763i | ||||
\(708\) | −33.4767 | + | 28.2090i | −1.25813 | + | 1.06016i | ||||
\(709\) | 36.6562 | + | 9.82199i | 1.37665 | + | 0.368873i | 0.869904 | − | 0.493222i | \(-0.164181\pi\) |
0.506748 | + | 0.862094i | \(0.330848\pi\) | |||||||
\(710\) | 5.67231 | + | 5.67231i | 0.212878 | + | 0.212878i | ||||
\(711\) | −24.8259 | + | 29.8373i | −0.931045 | + | 1.11899i | ||||
\(712\) | −2.96362 | + | 1.71105i | −0.111066 | + | 0.0641242i | ||||
\(713\) | −9.64448 | − | 9.64448i | −0.361189 | − | 0.361189i | ||||
\(714\) | −0.680660 | + | 7.97066i | −0.0254731 | + | 0.298295i | ||||
\(715\) | 20.1026 | − | 5.53799i | 0.751796 | − | 0.207109i | ||||
\(716\) | −27.2744 | + | 15.7469i | −1.01929 | + | 0.588488i | ||||
\(717\) | −7.87961 | − | 2.84942i | −0.294270 | − | 0.106414i | ||||
\(718\) | 7.51562 | 0.280481 | ||||||||
\(719\) | −2.07633 | + | 3.59631i | −0.0774340 | + | 0.134120i | −0.902142 | − | 0.431439i | \(-0.858006\pi\) |
0.824708 | + | 0.565559i | \(0.191339\pi\) | |||||||
\(720\) | −17.2113 | − | 7.93885i | −0.641426 | − | 0.295863i | ||||
\(721\) | −15.3950 | + | 4.12507i | −0.573339 | + | 0.153626i | ||||
\(722\) | −0.185279 | + | 0.691470i | −0.00689536 | + | 0.0257338i | ||||
\(723\) | 15.3028 | + | 5.53377i | 0.569115 | + | 0.205803i | ||||
\(724\) | −5.41891 | −0.201392 | ||||||||
\(725\) | −0.00935280 | + | 0.0161995i | −0.000347354 | + | 0.000601635i | ||||
\(726\) | 1.46834 | + | 1.74254i | 0.0544953 | + | 0.0646716i | ||||
\(727\) | −17.8851 | − | 10.3260i | −0.663323 | − | 0.382970i | 0.130219 | − | 0.991485i | \(-0.458432\pi\) |
−0.793542 | + | 0.608516i | \(0.791765\pi\) | |||||||
\(728\) | −10.6566 | + | 2.93575i | −0.394961 | + | 0.108806i | ||||
\(729\) | 23.5491 | + | 13.2075i | 0.872191 | + | 0.489166i | ||||
\(730\) | 0.214584 | − | 0.800839i | 0.00794212 | − | 0.0296404i | ||||
\(731\) | − | 36.2464i | − | 1.34062i | ||||||
\(732\) | 26.7228 | − | 12.5287i | 0.987703 | − | 0.463074i | ||||
\(733\) | 11.0400 | − | 41.2018i | 0.407771 | − | 1.52182i | −0.391117 | − | 0.920341i | \(-0.627911\pi\) |
0.798888 | − | 0.601480i | \(-0.205422\pi\) | |||||||
\(734\) | −0.0988818 | + | 0.0988818i | −0.00364979 | + | 0.00364979i | ||||
\(735\) | 7.20717 | + | 8.55302i | 0.265840 | + | 0.315483i | ||||
\(736\) | 3.29304 | + | 12.2898i | 0.121383 | + | 0.453008i | ||||
\(737\) | −15.9798 | − | 9.22594i | −0.588623 | − | 0.339842i | ||||
\(738\) | −8.78478 | − | 7.30932i | −0.323372 | − | 0.269060i | ||||
\(739\) | −18.5262 | − | 4.96408i | −0.681497 | − | 0.182607i | −0.0985688 | − | 0.995130i | \(-0.531426\pi\) |
−0.582928 | + | 0.812524i | \(0.698093\pi\) | |||||||
\(740\) | −13.0969 | + | 22.6845i | −0.481451 | + | 0.833898i | ||||
\(741\) | −2.02449 | + | 25.8456i | −0.0743716 | + | 0.949463i | ||||
\(742\) | 3.46038 | + | 5.99356i | 0.127035 | + | 0.220031i | ||||
\(743\) | 3.81128 | + | 14.2239i | 0.139822 | + | 0.521824i | 0.999931 | + | 0.0117137i | \(0.00372866\pi\) |
−0.860109 | + | 0.510110i | \(0.829605\pi\) | |||||||
\(744\) | −11.3422 | + | 5.31767i | −0.415825 | + | 0.194955i | ||||
\(745\) | 1.11716 | − | 0.644992i | 0.0409296 | − | 0.0236307i | ||||
\(746\) | 0.328396 | − | 0.328396i | 0.0120234 | − | 0.0120234i | ||||
\(747\) | 0.910844 | + | 9.93535i | 0.0333260 | + | 0.363516i | ||||
\(748\) | −7.64545 | − | 28.5332i | −0.279545 | − | 1.04328i | ||||
\(749\) | −6.73768 | + | 1.80536i | −0.246189 | + | 0.0659662i | ||||
\(750\) | 8.25815 | + | 0.705210i | 0.301545 | + | 0.0257506i | ||||
\(751\) | 5.72719 | + | 3.30659i | 0.208988 | + | 0.120659i | 0.600841 | − | 0.799369i | \(-0.294832\pi\) |
−0.391853 | + | 0.920028i | \(0.628166\pi\) | |||||||
\(752\) | 12.9788 | − | 3.47766i | 0.473288 | − | 0.126817i | ||||
\(753\) | −3.41908 | + | 4.90460i | −0.124598 | + | 0.178734i | ||||
\(754\) | 0.0343476 | − | 0.0201533i | 0.00125086 | − | 0.000733940i | ||||
\(755\) | 20.4325i | 0.743614i | ||||||||
\(756\) | 9.30652 | − | 16.3539i | 0.338475 | − | 0.594786i | ||||
\(757\) | −0.157058 | − | 0.272032i | −0.00570837 | − | 0.00988718i | 0.863157 | − | 0.504935i | \(-0.168484\pi\) |
−0.868865 | + | 0.495048i | \(0.835150\pi\) | |||||||
\(758\) | 3.82633 | + | 6.62739i | 0.138978 | + | 0.240718i | ||||
\(759\) | 13.9157 | − | 2.48354i | 0.505109 | − | 0.0901467i | ||||
\(760\) | −9.47557 | − | 9.47557i | −0.343715 | − | 0.343715i | ||||
\(761\) | 19.6502 | + | 19.6502i | 0.712321 | + | 0.712321i | 0.967020 | − | 0.254699i | \(-0.0819766\pi\) |
−0.254699 | + | 0.967020i | \(0.581977\pi\) | |||||||
\(762\) | −1.99925 | + | 5.52859i | −0.0724250 | + | 0.200280i | ||||
\(763\) | −4.97522 | − | 8.61734i | −0.180115 | − | 0.311969i | ||||
\(764\) | 3.69029 | + | 6.39178i | 0.133510 | + | 0.231246i | ||||
\(765\) | 29.4093 | − | 20.7753i | 1.06330 | − | 0.751132i | ||||
\(766\) | − | 12.2904i | − | 0.444072i | ||||||
\(767\) | 42.8137 | − | 25.1208i | 1.54591 | − | 0.907058i | ||||
\(768\) | −7.63179 | − | 0.651721i | −0.275388 | − | 0.0235170i | ||||
\(769\) | 26.8812 | − | 7.20278i | 0.969359 | − | 0.259739i | 0.260802 | − | 0.965392i | \(-0.416013\pi\) |
0.708557 | + | 0.705653i | \(0.249346\pi\) | |||||||
\(770\) | −4.00285 | − | 2.31105i | −0.144253 | − | 0.0832844i | ||||
\(771\) | 14.6086 | − | 20.9557i | 0.526115 | − | 0.754702i | ||||
\(772\) | 28.1297 | − | 7.53732i | 1.01241 | − | 0.271274i | ||||
\(773\) | 7.98648 | + | 29.8060i | 0.287254 | + | 1.07205i | 0.947177 | + | 0.320713i | \(0.103922\pi\) |
−0.659923 | + | 0.751333i | \(0.729411\pi\) | |||||||
\(774\) | 3.19340 | − | 6.92322i | 0.114784 | − | 0.248850i | ||||
\(775\) | −2.25794 | + | 2.25794i | −0.0811076 | + | 0.0811076i | ||||
\(776\) | 16.4609 | − | 9.50368i | 0.590911 | − | 0.341162i | ||||
\(777\) | −19.2538 | − | 13.4221i | −0.690727 | − | 0.481516i | ||||
\(778\) | −0.408377 | − | 1.52408i | −0.0146410 | − | 0.0546411i | ||||
\(779\) | 19.5143 | + | 33.7998i | 0.699173 | + | 1.21100i | ||||
\(780\) | 19.6290 | + | 13.4800i | 0.702831 | + | 0.482661i | ||||
\(781\) | 13.2710 | − | 22.9860i | 0.474873 | − | 0.822504i | ||||
\(782\) | −6.62900 | − | 1.77624i | −0.237053 | − | 0.0635181i | ||||
\(783\) | −0.0358070 | + | 0.137045i | −0.00127964 | + | 0.00489757i | ||||
\(784\) | 8.19055 | + | 4.72882i | 0.292520 | + | 0.168886i | ||||
\(785\) | 8.99482 | + | 33.5691i | 0.321039 | + | 1.19813i | ||||
\(786\) | −4.65496 | + | 12.8725i | −0.166037 | + | 0.459148i | ||||
\(787\) | 18.0297 | − | 18.0297i | 0.642689 | − | 0.642689i | −0.308527 | − | 0.951216i | \(-0.599836\pi\) |
0.951216 | + | 0.308527i | \(0.0998360\pi\) | |||||||
\(788\) | 7.32871 | − | 27.3511i | 0.261075 | − | 0.974344i | ||||
\(789\) | −1.60652 | + | 18.8127i | −0.0571937 | + | 0.669750i | ||||
\(790\) | 10.8881i | 0.387383i | ||||||||
\(791\) | −7.49001 | + | 27.9531i | −0.266314 | + | 0.993898i | ||||
\(792\) | 2.20127 | − | 12.7947i | 0.0782188 | − | 0.454639i | ||||
\(793\) | −32.2643 | + | 8.88836i | −1.14574 | + | 0.315635i | ||||
\(794\) | −9.06099 | − | 5.23137i | −0.321563 | − | 0.185654i | ||||
\(795\) | 10.5934 | − | 29.2944i | 0.375710 | − | 1.03897i | ||||
\(796\) | −11.3109 | + | 19.5910i | −0.400903 | + | 0.694385i | ||||
\(797\) | −7.39914 | −0.262091 | −0.131046 | − | 0.991376i | \(-0.541833\pi\) | ||||
−0.131046 | + | 0.991376i | \(0.541833\pi\) | |||||||
\(798\) | 4.39453 | − | 3.70303i | 0.155565 | − | 0.131086i | ||||
\(799\) | −6.60658 | + | 24.6561i | −0.233724 | + | 0.872270i | ||||
\(800\) | 2.87725 | − | 0.770958i | 0.101726 | − | 0.0272575i | ||||
\(801\) | −2.76671 | + | 5.99818i | −0.0977570 | + | 0.211935i | ||||
\(802\) | −1.67485 | + | 2.90093i | −0.0591412 | + | 0.102436i | ||||
\(803\) | −2.74321 | −0.0968059 | ||||||||
\(804\) | −3.70215 | − | 20.7438i | −0.130565 | − | 0.731579i | ||||
\(805\) | 10.3993 | − | 6.00404i | 0.366527 | − | 0.211615i | ||||
\(806\) | 6.55406 | − | 1.80555i | 0.230857 | − | 0.0635978i | ||||
\(807\) | 43.3458 | + | 30.2171i | 1.52585 | + | 1.06369i | ||||
\(808\) | −12.8649 | − | 12.8649i | −0.452584 | − | 0.452584i | ||||
\(809\) | −32.2345 | + | 18.6106i | −1.13331 | + | 0.654315i | −0.944764 | − | 0.327751i | \(-0.893709\pi\) |
−0.188542 | + | 0.982065i | \(0.560376\pi\) | |||||||
\(810\) | 7.44766 | − | 1.37713i | 0.261684 | − | 0.0483875i | ||||
\(811\) | −6.98393 | − | 6.98393i | −0.245239 | − | 0.245239i | 0.573775 | − | 0.819013i | \(-0.305479\pi\) |
−0.819013 | + | 0.573775i | \(0.805479\pi\) | |||||||
\(812\) | 0.0953502 | + | 0.0255490i | 0.00334614 | + | 0.000896594i | ||||
\(813\) | 0.733018 | + | 0.265074i | 0.0257081 | + | 0.00929654i | ||||
\(814\) | −7.48622 | − | 2.00593i | −0.262392 | − | 0.0703077i | ||||
\(815\) | 30.7860i | 1.07839i | ||||||||
\(816\) | 17.4120 | − | 24.9772i | 0.609541 | − | 0.874375i | ||||
\(817\) | −18.4117 | + | 18.4117i | −0.644145 | + | 0.644145i | ||||
\(818\) | −9.61677 | −0.336242 | ||||||||
\(819\) | −13.5312 | + | 16.4967i | −0.472819 | + | 0.576443i | ||||
\(820\) | 35.8478 | 1.25186 | ||||||||
\(821\) | 9.83790 | − | 9.83790i | 0.343345 | − | 0.343345i | −0.514278 | − | 0.857623i | \(-0.671940\pi\) |
0.857623 | + | 0.514278i | \(0.171940\pi\) | |||||||
\(822\) | 1.24148 | + | 2.64799i | 0.0433017 | + | 0.0923592i | ||||
\(823\) | − | 16.2167i | − | 0.565280i | −0.959226 | − | 0.282640i | \(-0.908790\pi\) | ||
0.959226 | − | 0.282640i | \(-0.0912101\pi\) | |||||||
\(824\) | −12.1300 | − | 3.25022i | −0.422568 | − | 0.113227i | ||||
\(825\) | −0.581440 | − | 3.25791i | −0.0202431 | − | 0.113426i | ||||
\(826\) | −10.6285 | − | 2.84789i | −0.369812 | − | 0.0990909i | ||||
\(827\) | −39.0484 | − | 39.0484i | −1.35784 | − | 1.35784i | −0.876570 | − | 0.481274i | \(-0.840174\pi\) |
−0.481274 | − | 0.876570i | \(-0.659826\pi\) | |||||||
\(828\) | 12.4089 | + | 10.3248i | 0.431239 | + | 0.358810i | ||||
\(829\) | −21.0986 | + | 12.1813i | −0.732784 | + | 0.423073i | −0.819440 | − | 0.573165i | \(-0.805715\pi\) |
0.0866559 | + | 0.996238i | \(0.472382\pi\) | |||||||
\(830\) | 1.97898 | + | 1.97898i | 0.0686915 | + | 0.0686915i | ||||
\(831\) | −34.8238 | + | 16.3268i | −1.20803 | + | 0.566370i | ||||
\(832\) | 15.0906 | + | 3.93021i | 0.523173 | + | 0.136256i | ||||
\(833\) | −15.5598 | + | 8.98343i | −0.539114 | + | 0.311257i | ||||
\(834\) | 2.75892 | − | 2.32480i | 0.0955337 | − | 0.0805011i | ||||
\(835\) | 4.11046 | 0.142248 | ||||||||
\(836\) | −10.6101 | + | 18.3773i | −0.366960 | + | 0.635593i | ||||
\(837\) | −11.9593 | + | 21.0155i | −0.413374 | + | 0.726402i | ||||
\(838\) | 14.5948 | − | 3.91066i | 0.504168 | − | 0.135091i | ||||
\(839\) | −4.59066 | + | 17.1326i | −0.158487 | + | 0.591482i | 0.840294 | + | 0.542131i | \(0.182382\pi\) |
−0.998781 | + | 0.0493516i | \(0.984285\pi\) | |||||||
\(840\) | −1.93767 | − | 10.8571i | −0.0668559 | − | 0.374606i | ||||
\(841\) | 28.9993 | 0.999974 | ||||||||
\(842\) | −5.01223 | + | 8.68144i | −0.172733 | + | 0.299182i | ||||
\(843\) | 25.4242 | − | 4.53745i | 0.875654 | − | 0.156278i | ||||
\(844\) | −36.4845 | − | 21.0643i | −1.25585 | − | 0.725064i | ||||
\(845\) | −19.3584 | − | 18.8224i | −0.665949 | − | 0.647511i | ||||
\(846\) | −3.43415 | + | 4.12736i | −0.118068 | + | 0.141902i | ||||
\(847\) | 1.65768 | − | 6.18654i | 0.0569585 | − | 0.212572i | ||||
\(848\) | − | 26.3409i | − | 0.904549i | ||||||
\(849\) | 18.5410 | + | 12.9252i | 0.636326 | + | 0.443593i | ||||
\(850\) | −0.415848 | + | 1.55196i | −0.0142635 | + | 0.0532320i | ||||
\(851\) | 14.2377 | − | 14.2377i | 0.488061 | − | 0.488061i | ||||
\(852\) | 29.8388 | − | 5.32533i | 1.02226 | − | 0.182443i | ||||
\(853\) | −1.66744 | − | 6.22299i | −0.0570922 | − | 0.213071i | 0.931487 | − | 0.363775i | \(-0.118512\pi\) |
−0.988579 | + | 0.150705i | \(0.951846\pi\) | |||||||
\(854\) | 6.42450 | + | 3.70918i | 0.219842 | + | 0.126926i | ||||
\(855\) | −25.4918 | − | 4.38576i | −0.871801 | − | 0.149990i | ||||
\(856\) | −5.30874 | − | 1.42247i | −0.181449 | − | 0.0486191i | ||||
\(857\) | 19.0536 | − | 33.0018i | 0.650858 | − | 1.12732i | −0.332057 | − | 0.943259i | \(-0.607743\pi\) |
0.982915 | − | 0.184060i | \(-0.0589240\pi\) | |||||||
\(858\) | −2.34940 | + | 6.64231i | −0.0802074 | + | 0.226765i | ||||
\(859\) | −11.6865 | − | 20.2416i | −0.398738 | − | 0.690634i | 0.594832 | − | 0.803850i | \(-0.297218\pi\) |
−0.993570 | + | 0.113215i | \(0.963885\pi\) | |||||||
\(860\) | 6.18992 | + | 23.1011i | 0.211074 | + | 0.787741i | ||||
\(861\) | −2.73303 | + | 32.0043i | −0.0931414 | + | 1.09070i | ||||
\(862\) | −1.50618 | + | 0.869594i | −0.0513007 | + | 0.0296185i | ||||
\(863\) | 8.96522 | − | 8.96522i | 0.305180 | − | 0.305180i | −0.537857 | − | 0.843036i | \(-0.680766\pi\) |
0.843036 | + | 0.537857i | \(0.180766\pi\) | |||||||
\(864\) | 19.4635 | − | 11.3996i | 0.662162 | − | 0.387822i | ||||
\(865\) | 6.91311 | + | 25.8001i | 0.235053 | + | 0.877228i | ||||
\(866\) | 2.97984 | − | 0.798446i | 0.101259 | − | 0.0271323i | ||||
\(867\) | 12.0543 | + | 25.7109i | 0.409385 | + | 0.873187i | ||||
\(868\) | 14.5937 | + | 8.42565i | 0.495341 | + | 0.285985i | ||||
\(869\) | 34.7981 | − | 9.32413i | 1.18045 | − | 0.316299i | ||||
\(870\) | 0.0168669 | + | 0.0359759i | 0.000571843 | + | 0.00121970i | ||||
\(871\) | 0.167691 | + | 23.8927i | 0.00568199 | + | 0.809574i | ||||
\(872\) | − | 7.84015i | − | 0.265501i | ||||||
\(873\) | 15.3672 | − | 33.3157i | 0.520100 | − | 1.12757i | ||||
\(874\) | 2.46501 | + | 4.26953i | 0.0833803 | + | 0.144419i | ||||
\(875\) | −11.6479 | − | 20.1748i | −0.393771 | − | 0.682031i | ||||
\(876\) | −2.01863 | − | 2.39559i | −0.0682033 | − | 0.0809394i | ||||
\(877\) | 25.8481 | + | 25.8481i | 0.872828 | + | 0.872828i | 0.992780 | − | 0.119951i | \(-0.0382738\pi\) |
−0.119951 | + | 0.992780i | \(0.538274\pi\) | |||||||
\(878\) | 7.62873 | + | 7.62873i | 0.257457 | + | 0.257457i | ||||
\(879\) | 23.0019 | + | 27.2972i | 0.775834 | + | 0.920712i | ||||
\(880\) | 8.79599 | + | 15.2351i | 0.296513 | + | 0.513575i | ||||
\(881\) | 1.20714 | + | 2.09083i | 0.0406696 | + | 0.0704418i | 0.885644 | − | 0.464365i | \(-0.153718\pi\) |
−0.844974 | + | 0.534807i | \(0.820384\pi\) | |||||||
\(882\) | −3.76344 | + | 0.345021i | −0.126722 | + | 0.0116175i | ||||
\(883\) | − | 4.43328i | − | 0.149192i | −0.997214 | − | 0.0745958i | \(-0.976233\pi\) | ||
0.997214 | − | 0.0745958i | \(-0.0237667\pi\) | |||||||
\(884\) | −26.8570 | + | 27.2367i | −0.903300 | + | 0.916069i | ||||
\(885\) | 21.0244 | + | 44.8434i | 0.706726 | + | 1.50739i | ||||
\(886\) | −2.90371 | + | 0.778047i | −0.0975520 | + | 0.0261390i | ||||
\(887\) | −14.4537 | − | 8.34486i | −0.485309 | − | 0.280193i | 0.237318 | − | 0.971432i | \(-0.423732\pi\) |
−0.722626 | + | 0.691239i | \(0.757065\pi\) | |||||||
\(888\) | −7.85021 | − | 16.7439i | −0.263436 | − | 0.561889i | ||||
\(889\) | 15.9611 | − | 4.27676i | 0.535318 | − | 0.143438i | ||||
\(890\) | 0.479578 | + | 1.78981i | 0.0160755 | + | 0.0599945i | ||||
\(891\) | −10.7791 | − | 22.6231i | −0.361114 | − | 0.757903i | ||||
\(892\) | −27.2616 | + | 27.2616i | −0.912787 | + | 0.912787i | ||||
\(893\) | 15.8802 | − | 9.16843i | 0.531410 | − | 0.306810i | ||||
\(894\) | −0.0370869 | + | 0.434295i | −0.00124037 | + | 0.0145250i | ||||
\(895\) | 9.22185 | + | 34.4164i | 0.308252 | + | 1.15041i | ||||
\(896\) | −10.2910 | − | 17.8245i | −0.343798 | − | 0.595475i | ||||
\(897\) | −11.8928 | − | 13.9142i | −0.397088 | − | 0.464582i | ||||
\(898\) | 6.71061 | − | 11.6231i | 0.223936 | − | 0.387868i | ||||
\(899\) | −0.122529 | − | 0.0328316i | −0.00408658 | − | 0.00109499i | ||||
\(900\) | 2.41720 | − | 2.90514i | 0.0805735 | − | 0.0968380i | ||||
\(901\) | 43.3362 | + | 25.0201i | 1.44374 | + | 0.833542i | ||||
\(902\) | 2.74524 | + | 10.2454i | 0.0914064 | + | 0.341133i | ||||
\(903\) | −21.0962 | + | 3.76503i | −0.702037 | + | 0.125293i | ||||
\(904\) | −16.1233 | + | 16.1233i | −0.536252 | + | 0.536252i | ||||
\(905\) | −1.58674 | + | 5.92179i | −0.0527450 | + | 0.196847i | ||||
\(906\) | −5.66362 | − | 3.94820i | −0.188161 | − | 0.131170i | ||||
\(907\) | − | 6.54162i | − | 0.217211i | −0.994085 | − | 0.108606i | \(-0.965361\pi\) | ||
0.994085 | − | 0.108606i | \(-0.0346385\pi\) | |||||||
\(908\) | 13.6472 | − | 50.9321i | 0.452899 | − | 1.69024i | ||||
\(909\) | −34.6099 | − | 5.95449i | −1.14794 | − | 0.197498i | ||||
\(910\) | 0.0420056 | + | 5.98500i | 0.00139247 | + | 0.198401i | ||||
\(911\) | −11.6758 | − | 6.74101i | −0.386835 | − | 0.223340i | 0.293953 | − | 0.955820i | \(-0.405029\pi\) |
−0.680788 | + | 0.732480i | \(0.738363\pi\) | |||||||
\(912\) | −21.5320 | + | 3.84281i | −0.712996 | + | 0.127248i | ||||
\(913\) | 4.63005 | − | 8.01947i | 0.153232 | − | 0.265406i | ||||
\(914\) | −6.78251 | −0.224346 | ||||||||
\(915\) | −5.86654 | − | 32.8713i | −0.193942 | − | 1.08669i | ||||
\(916\) | −3.54945 | + | 13.2467i | −0.117277 | + | 0.437684i | ||||
\(917\) | 37.1631 | − | 9.95782i | 1.22723 | − | 0.328836i | ||||
\(918\) | 0.0758286 | + | 12.1663i | 0.00250272 | + | 0.401549i | ||||
\(919\) | 24.5247 | − | 42.4781i | 0.808996 | − | 1.40122i | −0.104564 | − | 0.994518i | \(-0.533345\pi\) |
0.913560 | − | 0.406704i | \(-0.133322\pi\) | |||||||
\(920\) | 9.46139 | 0.311933 | ||||||||
\(921\) | −11.3974 | + | 9.60398i | −0.375557 | + | 0.316462i | ||||
\(922\) | −12.6175 | + | 7.28470i | −0.415534 | + | 0.239909i | ||||
\(923\) | −34.3683 | + | 0.241214i | −1.13125 | + | 0.00793964i | ||||
\(924\) | −15.8128 | + | 7.41365i | −0.520202 | + | 0.243891i | ||||
\(925\) | −3.33329 | − | 3.33329i | −0.109598 | − | 0.109598i | ||||
\(926\) | 2.13437 | − | 1.23228i | 0.0701397 | − | 0.0404952i | ||||
\(927\) | −22.7434 | + | 8.38511i | −0.746992 | + | 0.275403i | ||||
\(928\) | 0.0836734 | + | 0.0836734i | 0.00274671 | + | 0.00274671i | ||||
\(929\) | 39.3652 | + | 10.5479i | 1.29153 | + | 0.346065i | 0.838242 | − | 0.545299i | \(-0.183584\pi\) |
0.453289 | + | 0.891364i | \(0.350250\pi\) | |||||||
\(930\) | 1.19171 | + | 6.67737i | 0.0390777 | + | 0.218960i | ||||
\(931\) | 12.4670 | + | 3.34051i | 0.408588 | + | 0.109481i | ||||
\(932\) | 11.5360i | 0.377874i | ||||||||
\(933\) | −0.514183 | − | 1.09672i | −0.0168336 | − | 0.0359048i | ||||
\(934\) | 6.66242 | − | 6.66242i | 0.218001 | − | 0.218001i | ||||
\(935\) | −33.4198 | −1.09295 | ||||||||
\(936\) | −15.7322 | + | 5.92593i | −0.514222 | + | 0.193695i | ||||
\(937\) | 18.3170 | 0.598390 | 0.299195 | − | 0.954192i | \(-0.403282\pi\) | ||||
0.299195 | + | 0.954192i | \(0.403282\pi\) | |||||||
\(938\) | 3.74510 | − | 3.74510i | 0.122282 | − | 0.122282i | ||||
\(939\) | 21.2073 | − | 30.4215i | 0.692074 | − | 0.992767i | ||||
\(940\) | − | 16.8424i | − | 0.549339i | ||||||
\(941\) | −2.71294 | − | 0.726930i | −0.0884393 | − | 0.0236972i | 0.214328 | − | 0.976762i | \(-0.431244\pi\) |
−0.302767 | + | 0.953064i | \(0.597911\pi\) | |||||||
\(942\) | −11.0430 | − | 3.99337i | −0.359801 | − | 0.130111i | ||||
\(943\) | −26.6172 | − | 7.13206i | −0.866775 | − | 0.232252i | ||||
\(944\) | 29.6134 | + | 29.6134i | 0.963834 | + | 0.963834i | ||||
\(945\) | −15.1465 | − | 14.9589i | −0.492716 | − | 0.486612i | ||||
\(946\) | −6.12831 | + | 3.53818i | −0.199248 | + | 0.115036i | ||||
\(947\) | 30.8700 | + | 30.8700i | 1.00314 | + | 1.00314i | 0.999995 | + | 0.00314473i | \(0.00100100\pi\) |
0.00314473 | + | 0.999995i | \(0.498999\pi\) | |||||||
\(948\) | 33.7493 | + | 23.5271i | 1.09612 | + | 0.764126i | ||||
\(949\) | 1.79764 | + | 3.06374i | 0.0583538 | + | 0.0994532i | ||||
\(950\) | 0.999570 | − | 0.577102i | 0.0324303 | − | 0.0187237i | ||||
\(951\) | −7.63039 | − | 42.7545i | −0.247432 | − | 1.38641i | ||||
\(952\) | 17.7162 | 0.574186 | ||||||||
\(953\) | 9.07394 | − | 15.7165i | 0.293934 | − | 0.509108i | −0.680803 | − | 0.732467i | \(-0.738369\pi\) |
0.974736 | + | 0.223359i | \(0.0717021\pi\) | |||||||
\(954\) | 6.07305 | + | 8.59697i | 0.196622 | + | 0.278337i | ||||
\(955\) | 8.06552 | − | 2.16115i | 0.260994 | − | 0.0699331i | ||||
\(956\) | −2.29858 | + | 8.57842i | −0.0743414 | + | 0.277446i | ||||
\(957\) | 0.100534 | − | 0.0847143i | 0.00324979 | − | 0.00273842i | ||||
\(958\) | 5.49964 | 0.177685 | ||||||||
\(959\) | 4.11007 | − | 7.11886i | 0.132721 | − | 0.229880i | ||||
\(960\) | −5.29104 | + | 14.6315i | −0.170768 | + | 0.472231i | ||||
\(961\) | 8.09330 | + | 4.67267i | 0.261074 | + | 0.150731i | ||||
\(962\) | 2.66545 | + | 9.67544i | 0.0859374 | + | 0.311949i | ||||
\(963\) | −9.95376 | + | 3.66978i | −0.320755 | + | 0.118257i | ||||
\(964\) | 4.46400 | − | 16.6599i | 0.143776 | − | 0.536579i | ||||
\(965\) | − | 32.9472i | − | 1.06061i | ||||||
\(966\) | −0.345231 | + | 4.04273i | −0.0111076 | + | 0.130073i | ||||
\(967\) | −4.76393 | + | 17.7792i | −0.153198 | + | 0.571742i | 0.846055 | + | 0.533095i | \(0.178971\pi\) |
−0.999253 | + | 0.0386464i | \(0.987695\pi\) | |||||||
\(968\) | 3.56837 | − | 3.56837i | 0.114692 | − | 0.114692i | ||||
\(969\) | 14.1302 | − | 39.0747i | 0.453926 | − | 1.25526i | ||||
\(970\) | −2.66372 | − | 9.94115i | −0.0855270 | − | 0.319191i | ||||
\(971\) | −9.07902 | − | 5.24177i | −0.291360 | − | 0.168217i | 0.347195 | − | 0.937793i | \(-0.387134\pi\) |
−0.638555 | + | 0.769576i | \(0.720467\pi\) | |||||||
\(972\) | 11.8243 | − | 26.0607i | 0.379265 | − | 0.835898i | ||||
\(973\) | −9.79502 | − | 2.62457i | −0.314014 | − | 0.0841398i | ||||
\(974\) | 3.55000 | − | 6.14878i | 0.113749 | − | 0.197020i | ||||
\(975\) | −3.25756 | + | 2.78430i | −0.104325 | + | 0.0891690i | ||||
\(976\) | −14.1174 | − | 24.4520i | −0.451887 | − | 0.782690i | ||||
\(977\) | 14.8955 | + | 55.5906i | 0.476548 | + | 1.77850i | 0.615429 | + | 0.788192i | \(0.288983\pi\) |
−0.138881 | + | 0.990309i | \(0.544351\pi\) | |||||||
\(978\) | −8.53349 | − | 5.94883i | −0.272871 | − | 0.190223i | ||||
\(979\) | 5.30948 | − | 3.06543i | 0.169692 | − | 0.0979715i | ||||
\(980\) | 8.38264 | − | 8.38264i | 0.267774 | − | 0.267774i | ||||
\(981\) | −8.73163 | − | 12.3604i | −0.278780 | − | 0.394638i | ||||
\(982\) | −3.46933 | − | 12.9477i | −0.110711 | − | 0.413178i | ||||
\(983\) | −42.2268 | + | 11.3146i | −1.34682 | + | 0.360881i | −0.858962 | − | 0.512040i | \(-0.828890\pi\) |
−0.487863 | + | 0.872920i | \(0.662223\pi\) | |||||||
\(984\) | −14.4733 | + | 20.7617i | −0.461392 | + | 0.661859i | ||||
\(985\) | −27.7434 | − | 16.0177i | −0.883978 | − | 0.510365i | ||||
\(986\) | −0.0616524 | + | 0.0165197i | −0.00196341 | + | 0.000526095i | ||||
\(987\) | 15.0366 | + | 1.28406i | 0.478621 | + | 0.0408721i | ||||
\(988\) | 27.4775 | − | 0.192850i | 0.874174 | − | 0.00613538i | ||||
\(989\) | − | 18.3842i | − | 0.584584i | ||||||
\(990\) | −6.38333 | − | 2.94437i | −0.202875 | − | 0.0935781i | ||||
\(991\) | 16.9722 | + | 29.3967i | 0.539140 | + | 0.933818i | 0.998951 | + | 0.0458007i | \(0.0145839\pi\) |
−0.459811 | + | 0.888017i | \(0.652083\pi\) | |||||||
\(992\) | 10.1002 | + | 17.4940i | 0.320680 | + | 0.555435i | ||||
\(993\) | −6.14910 | + | 17.0044i | −0.195136 | + | 0.539617i | ||||
\(994\) | 5.38710 | + | 5.38710i | 0.170869 | + | 0.170869i | ||||
\(995\) | 18.0971 | + | 18.0971i | 0.573717 | + | 0.573717i | ||||
\(996\) | 10.4103 | − | 1.85793i | 0.329863 | − | 0.0588707i | ||||
\(997\) | 20.0818 | + | 34.7827i | 0.635997 | + | 1.10158i | 0.986303 | + | 0.164943i | \(0.0527442\pi\) |
−0.350306 | + | 0.936635i | \(0.613923\pi\) | |||||||
\(998\) | −2.59990 | − | 4.50316i | −0.0822984 | − | 0.142545i | ||||
\(999\) | −31.0241 | − | 17.6549i | −0.981560 | − | 0.558576i |
(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 | 117.2.x.a.11.7 | ✓ | 48 | |
3.2 | odd | 2 | 351.2.ba.a.89.6 | 48 | |||
9.4 | even | 3 | 351.2.bf.a.206.7 | 48 | |||
9.5 | odd | 6 | 117.2.bc.a.50.6 | yes | 48 | ||
13.6 | odd | 12 | 117.2.bc.a.110.6 | yes | 48 | ||
39.32 | even | 12 | 351.2.bf.a.305.7 | 48 | |||
117.32 | even | 12 | inner | 117.2.x.a.32.7 | yes | 48 | |
117.58 | odd | 12 | 351.2.ba.a.71.6 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
117.2.x.a.11.7 | ✓ | 48 | 1.1 | even | 1 | trivial | |
117.2.x.a.32.7 | yes | 48 | 117.32 | even | 12 | inner | |
117.2.bc.a.50.6 | yes | 48 | 9.5 | odd | 6 | ||
117.2.bc.a.110.6 | yes | 48 | 13.6 | odd | 12 | ||
351.2.ba.a.71.6 | 48 | 117.58 | odd | 12 | |||
351.2.ba.a.89.6 | 48 | 3.2 | odd | 2 | |||
351.2.bf.a.206.7 | 48 | 9.4 | even | 3 | |||
351.2.bf.a.305.7 | 48 | 39.32 | even | 12 |