Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [189,2,Mod(5,189)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(189, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([5, 15]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("189.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 189 = 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 189.ba (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.50917259820\) |
Analytic rank: | \(0\) |
Dimension: | \(132\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 101.17 | ||
Character | \(\chi\) | \(=\) | 189.101 |
Dual form | 189.2.ba.a.131.17 |
$q$-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 \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(136\) |
\(\chi(n)\) | \(e\left(\frac{7}{18}\right)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.02575 | − | 1.22245i | 0.725318 | − | 0.864400i | −0.269818 | − | 0.962911i | \(-0.586964\pi\) |
0.995136 | + | 0.0985112i | \(0.0314080\pi\) | |||||||
\(3\) | 0.732884 | + | 1.56936i | 0.423131 | + | 0.906069i | ||||
\(4\) | −0.0949069 | − | 0.538244i | −0.0474534 | − | 0.269122i | ||||
\(5\) | 1.45366 | − | 1.21977i | 0.650097 | − | 0.545497i | −0.257003 | − | 0.966411i | \(-0.582735\pi\) |
0.907101 | + | 0.420914i | \(0.138291\pi\) | |||||||
\(6\) | 2.67021 | + | 0.713863i | 1.09011 | + | 0.291434i | ||||
\(7\) | −2.50057 | − | 0.864386i | −0.945126 | − | 0.326707i | ||||
\(8\) | 2.00866 | + | 1.15970i | 0.710170 | + | 0.410017i | ||||
\(9\) | −1.92576 | + | 2.30031i | −0.641921 | + | 0.766771i | ||||
\(10\) | − | 3.02821i | − | 0.957603i | ||||||
\(11\) | 0.811915 | − | 0.967602i | 0.244802 | − | 0.291743i | −0.629627 | − | 0.776898i | \(-0.716792\pi\) |
0.874428 | + | 0.485155i | \(0.161237\pi\) | |||||||
\(12\) | 0.775141 | − | 0.543413i | 0.223764 | − | 0.156870i | ||||
\(13\) | −0.326917 | + | 0.898197i | −0.0906704 | + | 0.249115i | −0.976736 | − | 0.214445i | \(-0.931206\pi\) |
0.886066 | + | 0.463560i | \(0.153428\pi\) | |||||||
\(14\) | −3.62163 | + | 2.17016i | −0.967922 | + | 0.580000i | ||||
\(15\) | 2.97962 | + | 1.38737i | 0.769334 | + | 0.358217i | ||||
\(16\) | 4.50524 | − | 1.63977i | 1.12631 | − | 0.409944i | ||||
\(17\) | −4.01374 | −0.973474 | −0.486737 | − | 0.873549i | \(-0.661813\pi\) | ||||
−0.486737 | + | 0.873549i | \(0.661813\pi\) | |||||||
\(18\) | 0.836650 | + | 4.71370i | 0.197200 | + | 1.11103i | ||||
\(19\) | − | 7.67461i | − | 1.76068i | −0.474348 | − | 0.880338i | \(-0.657316\pi\) | ||
0.474348 | − | 0.880338i | \(-0.342684\pi\) | |||||||
\(20\) | −0.794495 | − | 0.666660i | −0.177654 | − | 0.149070i | ||||
\(21\) | −0.476096 | − | 4.55778i | −0.103893 | − | 0.994589i | ||||
\(22\) | −0.350017 | − | 1.98504i | −0.0746239 | − | 0.423213i | ||||
\(23\) | −1.95808 | + | 5.37979i | −0.408288 | + | 1.12176i | 0.549801 | + | 0.835295i | \(0.314703\pi\) |
−0.958090 | + | 0.286468i | \(0.907519\pi\) | |||||||
\(24\) | −0.347870 | + | 4.00224i | −0.0710087 | + | 0.816954i | ||||
\(25\) | −0.242940 | + | 1.37778i | −0.0485879 | + | 0.275556i | ||||
\(26\) | 0.762661 | + | 1.32097i | 0.149570 | + | 0.259063i | ||||
\(27\) | −5.02137 | − | 1.33635i | −0.966364 | − | 0.257180i | ||||
\(28\) | −0.227929 | + | 1.42795i | −0.0430745 | + | 0.269857i | ||||
\(29\) | −1.22870 | − | 3.37583i | −0.228164 | − | 0.626876i | 0.771795 | − | 0.635871i | \(-0.219359\pi\) |
−0.999960 | + | 0.00899503i | \(0.997137\pi\) | |||||||
\(30\) | 4.75234 | − | 2.21932i | 0.867654 | − | 0.405191i | ||||
\(31\) | −8.76565 | + | 1.54562i | −1.57436 | + | 0.277602i | −0.891524 | − | 0.452973i | \(-0.850363\pi\) |
−0.682833 | + | 0.730575i | \(0.739252\pi\) | |||||||
\(32\) | 1.03017 | − | 2.83037i | 0.182110 | − | 0.500343i | ||||
\(33\) | 2.11355 | + | 0.565044i | 0.367922 | + | 0.0983615i | ||||
\(34\) | −4.11711 | + | 4.90658i | −0.706078 | + | 0.841471i | ||||
\(35\) | −4.68933 | + | 1.79359i | −0.792641 | + | 0.303171i | ||||
\(36\) | 1.42090 | + | 0.818214i | 0.236816 | + | 0.136369i | ||||
\(37\) | 3.99935 | − | 6.92708i | 0.657489 | − | 1.13880i | −0.323774 | − | 0.946134i | \(-0.604952\pi\) |
0.981264 | − | 0.192670i | \(-0.0617148\pi\) | |||||||
\(38\) | −9.38179 | − | 7.87226i | −1.52193 | − | 1.27705i | ||||
\(39\) | −1.64918 | + | 0.145225i | −0.264081 | + | 0.0232546i | ||||
\(40\) | 4.33449 | − | 0.764287i | 0.685343 | − | 0.120844i | ||||
\(41\) | 3.01647 | + | 1.09790i | 0.471093 | + | 0.171464i | 0.566647 | − | 0.823960i | \(-0.308240\pi\) |
−0.0955544 | + | 0.995424i | \(0.530462\pi\) | |||||||
\(42\) | −6.06000 | − | 4.09316i | −0.935078 | − | 0.631588i | ||||
\(43\) | 0.111496 | − | 0.632326i | 0.0170030 | − | 0.0964289i | −0.975125 | − | 0.221654i | \(-0.928854\pi\) |
0.992128 | + | 0.125226i | \(0.0399654\pi\) | |||||||
\(44\) | −0.597862 | − | 0.345176i | −0.0901311 | − | 0.0520372i | ||||
\(45\) | 0.00643857 | + | 5.69286i | 0.000959805 | + | 0.848641i | ||||
\(46\) | 4.56799 | + | 7.91199i | 0.673513 | + | 1.16656i | ||||
\(47\) | −1.48485 | + | 8.42098i | −0.216587 | + | 1.22833i | 0.661544 | + | 0.749906i | \(0.269901\pi\) |
−0.878131 | + | 0.478420i | \(0.841210\pi\) | |||||||
\(48\) | 5.87521 | + | 5.86857i | 0.848014 | + | 0.847055i | ||||
\(49\) | 5.50567 | + | 4.32291i | 0.786525 | + | 0.617558i | ||||
\(50\) | 1.43506 | + | 1.71024i | 0.202949 | + | 0.241865i | ||||
\(51\) | −2.94160 | − | 6.29898i | −0.411907 | − | 0.882034i | ||||
\(52\) | 0.514475 | + | 0.0907159i | 0.0713449 | + | 0.0125800i | ||||
\(53\) | 11.3329 | + | 6.54305i | 1.55669 | + | 0.898757i | 0.997570 | + | 0.0696726i | \(0.0221955\pi\) |
0.559123 | + | 0.829085i | \(0.311138\pi\) | |||||||
\(54\) | −6.78431 | + | 4.76759i | −0.923227 | + | 0.648787i | ||||
\(55\) | − | 2.39691i | − | 0.323200i | ||||||
\(56\) | −4.02037 | − | 4.63618i | −0.537245 | − | 0.619535i | ||||
\(57\) | 12.0442 | − | 5.62459i | 1.59529 | − | 0.744996i | ||||
\(58\) | −5.38712 | − | 1.96075i | −0.707363 | − | 0.257459i | ||||
\(59\) | −2.02915 | − | 0.738551i | −0.264173 | − | 0.0961512i | 0.206538 | − | 0.978439i | \(-0.433780\pi\) |
−0.470711 | + | 0.882287i | \(0.656003\pi\) | |||||||
\(60\) | 0.463955 | − | 1.73543i | 0.0598964 | − | 0.224043i | ||||
\(61\) | −3.03575 | − | 0.535284i | −0.388688 | − | 0.0685361i | −0.0241106 | − | 0.999709i | \(-0.507675\pi\) |
−0.364577 | + | 0.931173i | \(0.618786\pi\) | |||||||
\(62\) | −7.10196 | + | 12.3010i | −0.901950 | + | 1.56222i | ||||
\(63\) | 6.80386 | − | 4.08749i | 0.857205 | − | 0.514975i | ||||
\(64\) | 2.39111 | + | 4.14152i | 0.298889 | + | 0.517690i | ||||
\(65\) | 0.620364 | + | 1.70444i | 0.0769467 | + | 0.211409i | ||||
\(66\) | 2.85872 | − | 2.00411i | 0.351884 | − | 0.246689i | ||||
\(67\) | 1.63854 | − | 1.37490i | 0.200180 | − | 0.167971i | −0.537187 | − | 0.843463i | \(-0.680513\pi\) |
0.737367 | + | 0.675492i | \(0.236069\pi\) | |||||||
\(68\) | 0.380931 | + | 2.16037i | 0.0461947 | + | 0.261983i | ||||
\(69\) | −9.87786 | + | 0.869829i | −1.18915 | + | 0.104715i | ||||
\(70\) | −2.61754 | + | 7.57223i | −0.312856 | + | 0.905055i | ||||
\(71\) | −0.154696 | + | 0.0893139i | −0.0183591 | + | 0.0105996i | −0.509151 | − | 0.860677i | \(-0.670041\pi\) |
0.490792 | + | 0.871277i | \(0.336707\pi\) | |||||||
\(72\) | −6.53589 | + | 2.38724i | −0.770262 | + | 0.281339i | ||||
\(73\) | 9.96274 | − | 5.75199i | 1.16605 | − | 0.673220i | 0.213304 | − | 0.976986i | \(-0.431578\pi\) |
0.952747 | + | 0.303766i | \(0.0982442\pi\) | |||||||
\(74\) | −4.36563 | − | 11.9945i | −0.507494 | − | 1.39433i | ||||
\(75\) | −2.34027 | + | 0.628493i | −0.270232 | + | 0.0725721i | ||||
\(76\) | −4.13081 | + | 0.728373i | −0.473836 | + | 0.0835501i | ||||
\(77\) | −2.86663 | + | 1.71775i | −0.326683 | + | 0.195756i | ||||
\(78\) | −1.51413 | + | 2.16500i | −0.171441 | + | 0.245138i | ||||
\(79\) | −0.935206 | − | 0.784731i | −0.105219 | − | 0.0882891i | 0.588661 | − | 0.808380i | \(-0.299655\pi\) |
−0.693879 | + | 0.720091i | \(0.744100\pi\) | |||||||
\(80\) | 4.54896 | − | 7.87903i | 0.508589 | − | 0.880902i | ||||
\(81\) | −1.58288 | − | 8.85971i | −0.175875 | − | 0.984412i | ||||
\(82\) | 4.43628 | − | 2.56129i | 0.489906 | − | 0.282847i | ||||
\(83\) | 5.11532 | − | 1.86183i | 0.561480 | − | 0.204362i | −0.0456599 | − | 0.998957i | \(-0.514539\pi\) |
0.607140 | + | 0.794595i | \(0.292317\pi\) | |||||||
\(84\) | −2.40801 | + | 0.688820i | −0.262735 | + | 0.0751564i | ||||
\(85\) | −5.83462 | + | 4.89582i | −0.632853 | + | 0.531027i | ||||
\(86\) | −0.658617 | − | 0.784910i | −0.0710205 | − | 0.0846390i | ||||
\(87\) | 4.39739 | − | 4.40236i | 0.471449 | − | 0.471983i | ||||
\(88\) | 2.75300 | − | 1.00201i | 0.293470 | − | 0.106814i | ||||
\(89\) | 5.63916 | 0.597750 | 0.298875 | − | 0.954292i | \(-0.403389\pi\) | ||||
0.298875 | + | 0.954292i | \(0.403389\pi\) | |||||||
\(90\) | 6.96582 | + | 5.83160i | 0.734262 | + | 0.614705i | ||||
\(91\) | 1.59387 | − | 1.96342i | 0.167083 | − | 0.205822i | ||||
\(92\) | 3.08147 | + | 0.543347i | 0.321266 | + | 0.0566478i | ||||
\(93\) | −8.84983 | − | 12.6237i | −0.917685 | − | 1.30901i | ||||
\(94\) | 8.77111 | + | 10.4530i | 0.904671 | + | 1.07814i | ||||
\(95\) | −9.36123 | − | 11.1563i | −0.960442 | − | 1.14461i | ||||
\(96\) | 5.19685 | − | 0.457627i | 0.530401 | − | 0.0467063i | ||||
\(97\) | −5.97585 | − | 1.05370i | −0.606755 | − | 0.106987i | −0.138174 | − | 0.990408i | \(-0.544123\pi\) |
−0.468581 | + | 0.883421i | \(0.655235\pi\) | |||||||
\(98\) | 10.9320 | − | 2.29615i | 1.10430 | − | 0.231946i | ||||
\(99\) | 0.662233 | + | 3.73103i | 0.0665569 | + | 0.374983i | ||||
\(100\) | 0.764638 | 0.0764638 | ||||||||
\(101\) | 6.52215 | − | 2.37387i | 0.648978 | − | 0.236209i | 0.00350738 | − | 0.999994i | \(-0.498884\pi\) |
0.645470 | + | 0.763785i | \(0.276661\pi\) | |||||||
\(102\) | −10.7175 | − | 2.86526i | −1.06119 | − | 0.283703i | ||||
\(103\) | −8.28238 | − | 9.87055i | −0.816087 | − | 0.972574i | 0.183859 | − | 0.982953i | \(-0.441141\pi\) |
−0.999946 | + | 0.0103782i | \(0.996696\pi\) | |||||||
\(104\) | −1.69831 | + | 1.42505i | −0.166533 | + | 0.139738i | ||||
\(105\) | −6.25151 | − | 6.04474i | −0.610085 | − | 0.589906i | ||||
\(106\) | 19.6233 | − | 7.14230i | 1.90598 | − | 0.693721i | ||||
\(107\) | 1.24002 | − | 0.715923i | 0.119877 | − | 0.0692109i | −0.438863 | − | 0.898554i | \(-0.644619\pi\) |
0.558739 | + | 0.829343i | \(0.311285\pi\) | |||||||
\(108\) | −0.242717 | + | 2.82955i | −0.0233555 | + | 0.272274i | ||||
\(109\) | −0.946256 | + | 1.63896i | −0.0906349 | + | 0.156984i | −0.907778 | − | 0.419450i | \(-0.862223\pi\) |
0.817144 | + | 0.576434i | \(0.195556\pi\) | |||||||
\(110\) | −2.93010 | − | 2.45865i | −0.279374 | − | 0.234423i | ||||
\(111\) | 13.8021 | + | 1.19966i | 1.31004 | + | 0.113867i | ||||
\(112\) | −12.6831 | + | 0.206099i | −1.19844 | + | 0.0194745i | ||||
\(113\) | 0.855475 | − | 0.150843i | 0.0804763 | − | 0.0141901i | −0.133265 | − | 0.991080i | \(-0.542546\pi\) |
0.213741 | + | 0.976890i | \(0.431435\pi\) | |||||||
\(114\) | 5.47862 | − | 20.4928i | 0.513120 | − | 1.91933i | ||||
\(115\) | 3.71570 | + | 10.2088i | 0.346491 | + | 0.951976i | ||||
\(116\) | −1.70041 | + | 0.981731i | −0.157879 | + | 0.0911514i | ||||
\(117\) | −1.43657 | − | 2.48172i | −0.132811 | − | 0.229436i | ||||
\(118\) | −2.98425 | + | 1.72296i | −0.274723 | + | 0.158611i | ||||
\(119\) | 10.0366 | + | 3.46942i | 0.920055 | + | 0.318041i | ||||
\(120\) | 4.37612 | + | 6.24223i | 0.399483 | + | 0.569835i | ||||
\(121\) | 1.63308 | + | 9.26166i | 0.148462 | + | 0.841969i | ||||
\(122\) | −3.76829 | + | 3.16197i | −0.341165 | + | 0.286271i | ||||
\(123\) | 0.487717 | + | 5.53855i | 0.0439759 | + | 0.499394i | ||||
\(124\) | 1.66384 | + | 4.57136i | 0.149417 | + | 0.410521i | ||||
\(125\) | 6.07147 | + | 10.5161i | 0.543049 | + | 0.940588i | ||||
\(126\) | 1.98235 | − | 12.5101i | 0.176602 | − | 1.11449i | ||||
\(127\) | −6.79273 | + | 11.7654i | −0.602757 | + | 1.04401i | 0.389644 | + | 0.920965i | \(0.372598\pi\) |
−0.992402 | + | 0.123041i | \(0.960735\pi\) | |||||||
\(128\) | 13.4480 | + | 2.37124i | 1.18865 | + | 0.209590i | ||||
\(129\) | 1.07406 | − | 0.288444i | 0.0945657 | − | 0.0253961i | ||||
\(130\) | 2.71992 | + | 0.989972i | 0.238553 | + | 0.0868263i | ||||
\(131\) | 8.52376 | + | 3.10240i | 0.744725 | + | 0.271058i | 0.686384 | − | 0.727239i | \(-0.259197\pi\) |
0.0583404 | + | 0.998297i | \(0.481419\pi\) | |||||||
\(132\) | 0.103541 | − | 1.19123i | 0.00901205 | − | 0.103684i | ||||
\(133\) | −6.63382 | + | 19.1909i | −0.575225 | + | 1.66406i | ||||
\(134\) | − | 3.41334i | − | 0.294867i | ||||||
\(135\) | −8.92941 | + | 4.18231i | −0.768521 | + | 0.359956i | ||||
\(136\) | −8.06225 | − | 4.65474i | −0.691332 | − | 0.399141i | ||||
\(137\) | 19.7829 | + | 3.48826i | 1.69017 | + | 0.298022i | 0.934243 | − | 0.356638i | \(-0.116077\pi\) |
0.755923 | + | 0.654660i | \(0.227188\pi\) | |||||||
\(138\) | −9.06893 | + | 12.9674i | −0.771999 | + | 1.10386i | ||||
\(139\) | −4.91571 | − | 5.85831i | −0.416945 | − | 0.496895i | 0.516164 | − | 0.856490i | \(-0.327360\pi\) |
−0.933109 | + | 0.359594i | \(0.882915\pi\) | |||||||
\(140\) | 1.41044 | + | 2.35378i | 0.119204 | + | 0.198931i | ||||
\(141\) | −14.3037 | + | 3.84135i | −1.20459 | + | 0.323500i | ||||
\(142\) | −0.0494988 | + | 0.280722i | −0.00415385 | + | 0.0235577i | ||||
\(143\) | 0.603669 | + | 1.04558i | 0.0504813 | + | 0.0874362i | ||||
\(144\) | −4.90403 | + | 13.5213i | −0.408670 | + | 1.12677i | ||||
\(145\) | −5.90385 | − | 3.40859i | −0.490288 | − | 0.283068i | ||||
\(146\) | 3.18782 | − | 18.0790i | 0.263826 | − | 1.49623i | ||||
\(147\) | −2.74917 | + | 11.8086i | −0.226747 | + | 0.973954i | ||||
\(148\) | −4.10802 | − | 1.49520i | −0.337677 | − | 0.122904i | ||||
\(149\) | −7.28668 | + | 1.28484i | −0.596948 | + | 0.105258i | −0.463955 | − | 0.885859i | \(-0.653570\pi\) |
−0.132993 | + | 0.991117i | \(0.542459\pi\) | |||||||
\(150\) | −1.63225 | + | 3.50554i | −0.133272 | + | 0.286226i | ||||
\(151\) | −4.72726 | − | 3.96664i | −0.384699 | − | 0.322801i | 0.429845 | − | 0.902903i | \(-0.358568\pi\) |
−0.814544 | + | 0.580102i | \(0.803013\pi\) | |||||||
\(152\) | 8.90026 | − | 15.4157i | 0.721907 | − | 1.25038i | ||||
\(153\) | 7.72950 | − | 9.23285i | 0.624893 | − | 0.746432i | ||||
\(154\) | −0.840603 | + | 5.26629i | −0.0677377 | + | 0.424370i | ||||
\(155\) | −10.8570 | + | 12.9389i | −0.872055 | + | 1.03927i | ||||
\(156\) | 0.234685 | + | 0.873880i | 0.0187898 | + | 0.0699664i | ||||
\(157\) | 6.49586 | − | 17.8472i | 0.518426 | − | 1.42436i | −0.353828 | − | 0.935311i | \(-0.615120\pi\) |
0.872254 | − | 0.489053i | \(-0.162658\pi\) | |||||||
\(158\) | −1.91858 | + | 0.338298i | −0.152634 | + | 0.0269135i | ||||
\(159\) | −1.96269 | + | 22.5807i | −0.155651 | + | 1.79076i | ||||
\(160\) | −1.95487 | − | 5.37096i | −0.154546 | − | 0.424612i | ||||
\(161\) | 9.54653 | − | 11.7600i | 0.752372 | − | 0.926817i | ||||
\(162\) | −12.4542 | − | 7.15290i | −0.978492 | − | 0.561985i | ||||
\(163\) | −0.709039 | − | 1.22809i | −0.0555362 | − | 0.0961915i | 0.836921 | − | 0.547324i | \(-0.184353\pi\) |
−0.892457 | + | 0.451133i | \(0.851020\pi\) | |||||||
\(164\) | 0.304657 | − | 1.72779i | 0.0237897 | − | 0.134918i | ||||
\(165\) | 3.76161 | − | 1.75666i | 0.292841 | − | 0.136756i | ||||
\(166\) | 2.97108 | − | 8.16299i | 0.230601 | − | 0.633571i | ||||
\(167\) | 2.73878 | + | 15.5324i | 0.211933 | + | 1.20193i | 0.886150 | + | 0.463398i | \(0.153370\pi\) |
−0.674217 | + | 0.738533i | \(0.735519\pi\) | |||||||
\(168\) | 4.32935 | − | 9.70718i | 0.334017 | − | 0.748925i | ||||
\(169\) | 9.25869 | + | 7.76897i | 0.712207 | + | 0.597613i | ||||
\(170\) | 12.1544i | 0.932201i | ||||||||
\(171\) | 17.6540 | + | 14.7795i | 1.35003 | + | 1.13021i | ||||
\(172\) | −0.350927 | −0.0267580 | ||||||||
\(173\) | −10.2513 | + | 3.73118i | −0.779394 | + | 0.283676i | −0.700920 | − | 0.713240i | \(-0.747227\pi\) |
−0.0784741 | + | 0.996916i | \(0.525005\pi\) | |||||||
\(174\) | −0.871014 | − | 9.89131i | −0.0660314 | − | 0.749859i | ||||
\(175\) | 1.79842 | − | 3.23524i | 0.135948 | − | 0.244561i | ||||
\(176\) | 2.07122 | − | 5.69064i | 0.156124 | − | 0.428948i | ||||
\(177\) | −0.328083 | − | 3.72574i | −0.0246602 | − | 0.280043i | ||||
\(178\) | 5.78440 | − | 6.89357i | 0.433559 | − | 0.516695i | ||||
\(179\) | − | 23.6413i | − | 1.76703i | −0.468403 | − | 0.883515i | \(-0.655170\pi\) | ||
0.468403 | − | 0.883515i | \(-0.344830\pi\) | |||||||
\(180\) | 3.06353 | − | 0.543757i | 0.228342 | − | 0.0405293i | ||||
\(181\) | −18.7421 | − | 10.8208i | −1.39309 | − | 0.804301i | −0.399434 | − | 0.916762i | \(-0.630793\pi\) |
−0.993656 | + | 0.112461i | \(0.964127\pi\) | |||||||
\(182\) | −0.765260 | − | 3.96240i | −0.0567248 | − | 0.293713i | ||||
\(183\) | −1.38480 | − | 5.15647i | −0.102367 | − | 0.381178i | ||||
\(184\) | −10.1721 | + | 8.53540i | −0.749896 | + | 0.629238i | ||||
\(185\) | −2.63572 | − | 14.9479i | −0.193782 | − | 1.09899i | ||||
\(186\) | −24.5095 | − | 2.13034i | −1.79712 | − | 0.156204i | ||||
\(187\) | −3.25881 | + | 3.88370i | −0.238308 | + | 0.284004i | ||||
\(188\) | 4.67346 | 0.340847 | ||||||||
\(189\) | 11.4012 | + | 7.68203i | 0.829312 | + | 0.558785i | ||||
\(190\) | −23.2403 | −1.68603 | ||||||||
\(191\) | −14.0821 | + | 16.7824i | −1.01894 | + | 1.21433i | −0.0423797 | + | 0.999102i | \(0.513494\pi\) |
−0.976564 | + | 0.215228i | \(0.930951\pi\) | |||||||
\(192\) | −4.74712 | + | 6.78776i | −0.342594 | + | 0.489864i | ||||
\(193\) | 2.52946 | + | 14.3453i | 0.182074 | + | 1.03259i | 0.929657 | + | 0.368426i | \(0.120103\pi\) |
−0.747583 | + | 0.664169i | \(0.768786\pi\) | |||||||
\(194\) | −7.41785 | + | 6.22431i | −0.532570 | + | 0.446880i | ||||
\(195\) | −2.22022 | + | 2.22273i | −0.158993 | + | 0.159173i | ||||
\(196\) | 1.80425 | − | 3.37367i | 0.128875 | − | 0.240976i | ||||
\(197\) | −2.06396 | − | 1.19163i | −0.147051 | − | 0.0849001i | 0.424669 | − | 0.905349i | \(-0.360390\pi\) |
−0.571720 | + | 0.820449i | \(0.693724\pi\) | |||||||
\(198\) | 5.24027 | + | 3.01758i | 0.372410 | + | 0.214450i | ||||
\(199\) | 10.2598i | 0.727298i | 0.931536 | + | 0.363649i | \(0.118469\pi\) | ||||
−0.931536 | + | 0.363649i | \(0.881531\pi\) | |||||||
\(200\) | −2.08580 | + | 2.48576i | −0.147488 | + | 0.175770i | ||||
\(201\) | 3.35857 | + | 1.56381i | 0.236895 | + | 0.110303i | ||||
\(202\) | 3.78819 | − | 10.4080i | 0.266536 | − | 0.732303i | ||||
\(203\) | 0.154432 | + | 9.50356i | 0.0108390 | + | 0.667019i | ||||
\(204\) | −3.11121 | + | 2.18112i | −0.217828 | + | 0.152709i | ||||
\(205\) | 5.72411 | − | 2.08341i | 0.399789 | − | 0.145511i | ||||
\(206\) | −20.5619 | −1.43262 | ||||||||
\(207\) | −8.60439 | − | 14.8644i | −0.598047 | − | 1.03315i | ||||
\(208\) | 4.58267i | 0.317751i | ||||||||
\(209\) | −7.42597 | − | 6.23113i | −0.513665 | − | 0.431016i | ||||
\(210\) | −13.8019 | + | 1.44172i | −0.952421 | + | 0.0994879i | ||||
\(211\) | −1.98228 | − | 11.2421i | −0.136466 | − | 0.773938i | −0.973828 | − | 0.227288i | \(-0.927014\pi\) |
0.837361 | − | 0.546650i | \(-0.184097\pi\) | |||||||
\(212\) | 2.44619 | − | 6.72084i | 0.168005 | − | 0.461589i | ||||
\(213\) | −0.253540 | − | 0.177317i | −0.0173723 | − | 0.0121495i | ||||
\(214\) | 0.396774 | − | 2.25021i | 0.0271229 | − | 0.153821i | ||||
\(215\) | −0.609213 | − | 1.05519i | −0.0415480 | − | 0.0719632i | ||||
\(216\) | −8.53649 | − | 8.50757i | −0.580834 | − | 0.578867i | ||||
\(217\) | 23.2551 | + | 3.71197i | 1.57866 | + | 0.251985i | ||||
\(218\) | 1.03292 | + | 2.83792i | 0.0699581 | + | 0.192208i | ||||
\(219\) | 16.3285 | + | 11.4196i | 1.10338 | + | 0.771662i | ||||
\(220\) | −1.29012 | + | 0.227484i | −0.0869801 | + | 0.0153369i | ||||
\(221\) | 1.31216 | − | 3.60512i | 0.0882653 | − | 0.242507i | ||||
\(222\) | 15.6241 | − | 15.6418i | 1.04862 | − | 1.04981i | ||||
\(223\) | −7.05545 | + | 8.40836i | −0.472468 | + | 0.563065i | −0.948669 | − | 0.316271i | \(-0.897569\pi\) |
0.476201 | + | 0.879336i | \(0.342013\pi\) | |||||||
\(224\) | −5.02254 | + | 6.18706i | −0.335582 | + | 0.413390i | ||||
\(225\) | −2.70148 | − | 3.21211i | −0.180099 | − | 0.214141i | ||||
\(226\) | 0.693109 | − | 1.20050i | 0.0461049 | − | 0.0798561i | ||||
\(227\) | 11.5294 | + | 9.67429i | 0.765231 | + | 0.642105i | 0.939483 | − | 0.342596i | \(-0.111306\pi\) |
−0.174252 | + | 0.984701i | \(0.555751\pi\) | |||||||
\(228\) | −4.17048 | − | 5.94890i | −0.276197 | − | 0.393975i | ||||
\(229\) | −22.1302 | + | 3.90215i | −1.46240 | + | 0.257861i | −0.847523 | − | 0.530758i | \(-0.821907\pi\) |
−0.614881 | + | 0.788620i | \(0.710796\pi\) | |||||||
\(230\) | 16.2911 | + | 5.92948i | 1.07420 | + | 0.390978i | ||||
\(231\) | −4.79667 | − | 3.23986i | −0.315597 | − | 0.213167i | ||||
\(232\) | 1.44691 | − | 8.20584i | 0.0949944 | − | 0.538740i | ||||
\(233\) | −25.4109 | − | 14.6710i | −1.66472 | − | 0.961128i | −0.970413 | − | 0.241452i | \(-0.922376\pi\) |
−0.694310 | − | 0.719676i | \(-0.744290\pi\) | |||||||
\(234\) | −4.50734 | − | 0.789511i | −0.294654 | − | 0.0516119i | ||||
\(235\) | 8.11317 | + | 14.0524i | 0.529245 | + | 0.916679i | ||||
\(236\) | −0.204940 | + | 1.16227i | −0.0133405 | + | 0.0756575i | ||||
\(237\) | 0.546126 | − | 2.04279i | 0.0354747 | − | 0.132693i | ||||
\(238\) | 14.5363 | − | 8.71046i | 0.942247 | − | 0.564615i | ||||
\(239\) | −17.8608 | − | 21.2856i | −1.15532 | − | 1.37685i | −0.913655 | − | 0.406491i | \(-0.866752\pi\) |
−0.241661 | − | 0.970361i | \(-0.577692\pi\) | |||||||
\(240\) | 15.6989 | + | 1.36453i | 1.01336 | + | 0.0880799i | ||||
\(241\) | 0.0739095 | + | 0.0130322i | 0.00476093 | + | 0.000839480i | 0.176028 | − | 0.984385i | \(-0.443675\pi\) |
−0.171267 | + | 0.985225i | \(0.554786\pi\) | |||||||
\(242\) | 12.9970 | + | 7.50384i | 0.835481 | + | 0.482365i | ||||
\(243\) | 12.7440 | − | 8.97724i | 0.817527 | − | 0.575890i | ||||
\(244\) | 1.68477i | 0.107857i | ||||||||
\(245\) | 13.2763 | − | 0.431593i | 0.848194 | − | 0.0275735i | ||||
\(246\) | 7.27086 | + | 5.08498i | 0.463573 | + | 0.324207i | ||||
\(247\) | 6.89331 | + | 2.50896i | 0.438611 | + | 0.159641i | ||||
\(248\) | −19.3997 | − | 7.06092i | −1.23188 | − | 0.448369i | ||||
\(249\) | 6.67081 | + | 6.66327i | 0.422745 | + | 0.422267i | ||||
\(250\) | 19.0832 | + | 3.36488i | 1.20693 | + | 0.212814i | ||||
\(251\) | −9.64254 | + | 16.7014i | −0.608632 | + | 1.05418i | 0.382834 | + | 0.923817i | \(0.374948\pi\) |
−0.991466 | + | 0.130364i | \(0.958385\pi\) | |||||||
\(252\) | −2.84580 | − | 3.27420i | −0.179268 | − | 0.206255i | ||||
\(253\) | 3.61570 | + | 6.26258i | 0.227317 | + | 0.393725i | ||||
\(254\) | 7.41484 | + | 20.3721i | 0.465248 | + | 1.27826i | ||||
\(255\) | −11.9594 | − | 5.56852i | −0.748926 | − | 0.348715i | ||||
\(256\) | 9.36627 | − | 7.85923i | 0.585392 | − | 0.491202i | ||||
\(257\) | −0.541867 | − | 3.07308i | −0.0338008 | − | 0.191694i | 0.963232 | − | 0.268671i | \(-0.0865843\pi\) |
−0.997033 | + | 0.0769770i | \(0.975473\pi\) | |||||||
\(258\) | 0.749113 | − | 1.60885i | 0.0466378 | − | 0.100163i | ||||
\(259\) | −15.9883 | + | 13.8646i | −0.993465 | + | 0.861507i | ||||
\(260\) | 0.858526 | − | 0.495670i | 0.0532435 | − | 0.0307402i | ||||
\(261\) | 10.1317 | + | 3.67465i | 0.627134 | + | 0.227455i | ||||
\(262\) | 12.5358 | − | 7.23755i | 0.774464 | − | 0.447137i | ||||
\(263\) | 1.49413 | + | 4.10510i | 0.0921322 | + | 0.253131i | 0.977196 | − | 0.212338i | \(-0.0681078\pi\) |
−0.885064 | + | 0.465469i | \(0.845886\pi\) | |||||||
\(264\) | 3.59014 | + | 3.58608i | 0.220958 | + | 0.220708i | ||||
\(265\) | 24.4552 | − | 4.31211i | 1.50227 | − | 0.264891i | ||||
\(266\) | 16.6551 | + | 27.7946i | 1.02119 | + | 1.70420i | ||||
\(267\) | 4.13285 | + | 8.84986i | 0.252926 | + | 0.541603i | ||||
\(268\) | −0.895540 | − | 0.751447i | −0.0547038 | − | 0.0459019i | ||||
\(269\) | 0.429514 | − | 0.743940i | 0.0261879 | − | 0.0453588i | −0.852634 | − | 0.522508i | \(-0.824997\pi\) |
0.878822 | + | 0.477149i | \(0.158330\pi\) | |||||||
\(270\) | −4.04673 | + | 15.2057i | −0.246276 | + | 0.925392i | ||||
\(271\) | 4.73193 | − | 2.73198i | 0.287444 | − | 0.165956i | −0.349344 | − | 0.936994i | \(-0.613596\pi\) |
0.636789 | + | 0.771038i | \(0.280262\pi\) | |||||||
\(272\) | −18.0829 | + | 6.58162i | −1.09643 | + | 0.399069i | ||||
\(273\) | 4.24942 | + | 1.06239i | 0.257187 | + | 0.0642986i | ||||
\(274\) | 24.5566 | − | 20.6054i | 1.48352 | − | 1.24482i | ||||
\(275\) | 1.13590 | + | 1.35371i | 0.0684971 | + | 0.0816317i | ||||
\(276\) | 1.40566 | + | 5.23414i | 0.0846106 | + | 0.315058i | ||||
\(277\) | 18.3788 | − | 6.68933i | 1.10427 | − | 0.401923i | 0.275383 | − | 0.961334i | \(-0.411195\pi\) |
0.828890 | + | 0.559412i | \(0.188973\pi\) | |||||||
\(278\) | −12.2038 | −0.731934 | ||||||||
\(279\) | 13.3251 | − | 23.1402i | 0.797756 | − | 1.38537i | ||||
\(280\) | −11.4993 | − | 1.83552i | −0.687216 | − | 0.109693i | ||||
\(281\) | −13.1907 | − | 2.32587i | −0.786890 | − | 0.138750i | −0.234257 | − | 0.972175i | \(-0.575266\pi\) |
−0.552633 | + | 0.833425i | \(0.686377\pi\) | |||||||
\(282\) | −9.97629 | + | 21.4258i | −0.594079 | + | 1.27589i | ||||
\(283\) | 6.91516 | + | 8.24117i | 0.411064 | + | 0.489886i | 0.931360 | − | 0.364099i | \(-0.118623\pi\) |
−0.520297 | + | 0.853986i | \(0.674179\pi\) | |||||||
\(284\) | 0.0627544 | + | 0.0747877i | 0.00372379 | + | 0.00443784i | ||||
\(285\) | 10.6475 | − | 22.8674i | 0.630703 | − | 1.35455i | ||||
\(286\) | 1.89739 | + | 0.334561i | 0.112195 | + | 0.0197830i | ||||
\(287\) | −6.59387 | − | 5.35278i | −0.389224 | − | 0.315964i | ||||
\(288\) | 4.52687 | + | 7.82033i | 0.266748 | + | 0.460817i | ||||
\(289\) | −0.889923 | −0.0523484 | ||||||||
\(290\) | −10.2227 | + | 3.72076i | −0.600298 | + | 0.218491i | ||||
\(291\) | −2.72597 | − | 10.1505i | −0.159799 | − | 0.595032i | ||||
\(292\) | −4.04151 | − | 4.81648i | −0.236511 | − | 0.281863i | ||||
\(293\) | 6.87623 | − | 5.76984i | 0.401714 | − | 0.337078i | −0.419442 | − | 0.907782i | \(-0.637774\pi\) |
0.821156 | + | 0.570704i | \(0.193330\pi\) | |||||||
\(294\) | 11.6154 | + | 15.4734i | 0.677422 | + | 0.902426i | ||||
\(295\) | −3.85056 | + | 1.40149i | −0.224188 | + | 0.0815979i | ||||
\(296\) | 16.0667 | − | 9.27612i | 0.933858 | − | 0.539163i | ||||
\(297\) | −5.36998 | + | 3.77369i | −0.311598 | + | 0.218972i | ||||
\(298\) | −5.90370 | + | 10.2255i | −0.341992 | + | 0.592348i | ||||
\(299\) | −4.19198 | − | 3.51749i | −0.242428 | − | 0.203422i | ||||
\(300\) | 0.560391 | + | 1.19999i | 0.0323542 | + | 0.0692814i | ||||
\(301\) | −0.825378 | + | 1.48480i | −0.0475740 | + | 0.0855824i | ||||
\(302\) | −9.69802 | + | 1.71002i | −0.558058 | + | 0.0984007i | ||||
\(303\) | 8.50542 | + | 8.49581i | 0.488624 | + | 0.488071i | ||||
\(304\) | −12.5846 | − | 34.5760i | −0.721778 | − | 1.98307i | ||||
\(305\) | −5.06588 | + | 2.92478i | −0.290071 | + | 0.167473i | ||||
\(306\) | −3.35809 | − | 18.9195i | −0.191969 | − | 1.08156i | ||||
\(307\) | 17.4494 | − | 10.0744i | 0.995890 | − | 0.574977i | 0.0888603 | − | 0.996044i | \(-0.471678\pi\) |
0.907030 | + | 0.421067i | \(0.138344\pi\) | |||||||
\(308\) | 1.19663 | + | 1.37992i | 0.0681843 | + | 0.0786282i | ||||
\(309\) | 9.42040 | − | 20.2320i | 0.535908 | − | 1.15096i | ||||
\(310\) | 4.68046 | + | 26.5442i | 0.265832 | + | 1.50761i | ||||
\(311\) | −2.17551 | + | 1.82547i | −0.123362 | + | 0.103513i | −0.702382 | − | 0.711801i | \(-0.747880\pi\) |
0.579020 | + | 0.815314i | \(0.303435\pi\) | |||||||
\(312\) | −3.48107 | − | 1.62086i | −0.197077 | − | 0.0917629i | ||||
\(313\) | −3.18984 | − | 8.76400i | −0.180300 | − | 0.495371i | 0.816312 | − | 0.577611i | \(-0.196015\pi\) |
−0.996613 | + | 0.0822401i | \(0.973793\pi\) | |||||||
\(314\) | −15.1541 | − | 26.2477i | −0.855197 | − | 1.48124i | ||||
\(315\) | 4.90473 | − | 14.2409i | 0.276350 | − | 0.802386i | ||||
\(316\) | −0.333619 | + | 0.577845i | −0.0187675 | + | 0.0325063i | ||||
\(317\) | 17.3656 | + | 3.06203i | 0.975352 | + | 0.171981i | 0.638538 | − | 0.769590i | \(-0.279540\pi\) |
0.336814 | + | 0.941571i | \(0.390651\pi\) | |||||||
\(318\) | 25.5904 | + | 25.5615i | 1.43504 | + | 1.43342i | ||||
\(319\) | −4.26406 | − | 1.55199i | −0.238742 | − | 0.0868949i | ||||
\(320\) | 8.52756 | + | 3.10378i | 0.476705 | + | 0.173506i | ||||
\(321\) | 2.03233 | + | 1.42134i | 0.113433 | + | 0.0793314i | ||||
\(322\) | −4.58356 | − | 23.7330i | −0.255432 | − | 1.32259i | ||||
\(323\) | 30.8038i | 1.71397i | ||||||||
\(324\) | −4.61846 | + | 1.69282i | −0.256581 | + | 0.0940457i | ||||
\(325\) | −1.15810 | − | 0.668627i | −0.0642396 | − | 0.0370887i | ||||
\(326\) | −2.22858 | − | 0.392958i | −0.123429 | − | 0.0217639i | ||||
\(327\) | −3.26561 | − | 0.283843i | −0.180589 | − | 0.0156966i | ||||
\(328\) | 4.78583 | + | 5.70353i | 0.264253 | + | 0.314925i | ||||
\(329\) | 10.9919 | − | 19.7738i | 0.606005 | − | 1.09016i | ||||
\(330\) | 1.71107 | − | 6.40027i | 0.0941913 | − | 0.352323i | ||||
\(331\) | 4.75223 | − | 26.9513i | 0.261206 | − | 1.48138i | −0.518418 | − | 0.855128i | \(-0.673479\pi\) |
0.779624 | − | 0.626248i | \(-0.215410\pi\) | |||||||
\(332\) | −1.48760 | − | 2.57659i | −0.0816424 | − | 0.141409i | ||||
\(333\) | 8.23265 | + | 22.5397i | 0.451146 | + | 1.23517i | ||||
\(334\) | 21.7968 | + | 12.5844i | 1.19267 | + | 0.688588i | ||||
\(335\) | 0.704828 | − | 3.99728i | 0.0385089 | − | 0.218395i | ||||
\(336\) | −9.61866 | − | 19.7532i | −0.524741 | − | 1.07763i | ||||
\(337\) | −14.1672 | − | 5.15645i | −0.771738 | − | 0.280889i | −0.0740145 | − | 0.997257i | \(-0.523581\pi\) |
−0.697723 | + | 0.716368i | \(0.745803\pi\) | |||||||
\(338\) | 18.9943 | − | 3.34921i | 1.03315 | − | 0.182173i | ||||
\(339\) | 0.863690 | + | 1.23199i | 0.0469092 | + | 0.0669128i | ||||
\(340\) | 3.18889 | + | 2.67580i | 0.172942 | + | 0.145116i | ||||
\(341\) | −5.62141 | + | 9.73657i | −0.304417 | + | 0.527265i | ||||
\(342\) | 36.1758 | − | 6.42096i | 1.95616 | − | 0.347206i | ||||
\(343\) | −10.0307 | − | 15.5688i | −0.541604 | − | 0.840634i | ||||
\(344\) | 0.957269 | − | 1.14083i | 0.0516125 | − | 0.0615094i | ||||
\(345\) | −13.2981 | + | 13.3131i | −0.715944 | + | 0.716755i | ||||
\(346\) | −5.95418 | + | 16.3590i | −0.320099 | + | 0.879464i | ||||
\(347\) | −23.8521 | + | 4.20577i | −1.28045 | + | 0.225777i | −0.772170 | − | 0.635416i | \(-0.780829\pi\) |
−0.508278 | + | 0.861193i | \(0.669718\pi\) | |||||||
\(348\) | −2.78689 | − | 1.94905i | −0.149393 | − | 0.104480i | ||||
\(349\) | 1.92048 | + | 5.27647i | 0.102801 | + | 0.282443i | 0.980421 | − | 0.196914i | \(-0.0630921\pi\) |
−0.877620 | + | 0.479357i | \(0.840870\pi\) | |||||||
\(350\) | −2.11017 | − | 5.51703i | −0.112793 | − | 0.294898i | ||||
\(351\) | 2.84187 | − | 4.07331i | 0.151688 | − | 0.217417i | ||||
\(352\) | −1.90226 | − | 3.29481i | −0.101391 | − | 0.175614i | ||||
\(353\) | −3.76585 | + | 21.3572i | −0.200436 | + | 1.13673i | 0.704026 | + | 0.710174i | \(0.251384\pi\) |
−0.904462 | + | 0.426555i | \(0.859727\pi\) | |||||||
\(354\) | −4.89105 | − | 3.42063i | −0.259956 | − | 0.181804i | ||||
\(355\) | −0.115934 | + | 0.318526i | −0.00615313 | + | 0.0169056i | ||||
\(356\) | −0.535195 | − | 3.03524i | −0.0283653 | − | 0.160868i | ||||
\(357\) | 1.91092 | + | 18.2937i | 0.101137 | + | 0.968206i | ||||
\(358\) | −28.9002 | − | 24.2501i | −1.52742 | − | 1.28166i | ||||
\(359\) | − | 21.9401i | − | 1.15795i | −0.815344 | − | 0.578976i | \(-0.803452\pi\) | ||
0.815344 | − | 0.578976i | \(-0.196548\pi\) | |||||||
\(360\) | −6.58910 | + | 11.4425i | −0.347276 | + | 0.603073i | ||||
\(361\) | −39.8996 | −2.09998 | ||||||||
\(362\) | −32.4526 | + | 11.8118i | −1.70567 | + | 0.620813i | ||||
\(363\) | −13.3380 | + | 9.35061i | −0.700063 | + | 0.490780i | ||||
\(364\) | −1.20807 | − | 0.671546i | −0.0633199 | − | 0.0351986i | ||||
\(365\) | 7.46637 | − | 20.5137i | 0.390808 | − | 1.07374i | ||||
\(366\) | −7.72398 | − | 3.59643i | −0.403739 | − | 0.187989i | ||||
\(367\) | 7.32658 | − | 8.73148i | 0.382444 | − | 0.455780i | −0.540140 | − | 0.841575i | \(-0.681629\pi\) |
0.922584 | + | 0.385796i | \(0.126073\pi\) | |||||||
\(368\) | 27.4481i | 1.43083i | ||||||||
\(369\) | −8.33452 | + | 4.82452i | −0.433878 | + | 0.251154i | ||||
\(370\) | −20.9766 | − | 12.1109i | −1.09052 | − | 0.629613i | ||||
\(371\) | −22.6830 | − | 26.1573i | −1.17764 | − | 1.35802i | ||||
\(372\) | −5.95470 | + | 5.96144i | −0.308737 | + | 0.309086i | ||||
\(373\) | −28.7091 | + | 24.0898i | −1.48650 | + | 1.24732i | −0.587617 | + | 0.809139i | \(0.699934\pi\) |
−0.898885 | + | 0.438184i | \(0.855622\pi\) | |||||||
\(374\) | 1.40488 | + | 7.96745i | 0.0726444 | + | 0.411987i | ||||
\(375\) | −12.0538 | + | 17.2354i | −0.622457 | + | 0.890031i | ||||
\(376\) | −12.7484 | + | 15.1929i | −0.657448 | + | 0.783516i | ||||
\(377\) | 3.43384 | 0.176852 | ||||||||
\(378\) | 21.0857 | − | 6.05744i | 1.08453 | − | 0.311561i | ||||
\(379\) | 4.71335 | 0.242108 | 0.121054 | − | 0.992646i | \(-0.461373\pi\) | ||||
0.121054 | + | 0.992646i | \(0.461373\pi\) | |||||||
\(380\) | −5.11635 | + | 6.09743i | −0.262463 | + | 0.312792i | ||||
\(381\) | −23.4423 | − | 2.03758i | −1.20099 | − | 0.104388i | ||||
\(382\) | 6.07079 | + | 34.4292i | 0.310609 | + | 1.76155i | ||||
\(383\) | 5.74641 | − | 4.82181i | 0.293628 | − | 0.246383i | −0.484058 | − | 0.875036i | \(-0.660838\pi\) |
0.777686 | + | 0.628653i | \(0.216393\pi\) | |||||||
\(384\) | 6.13449 | + | 22.8425i | 0.313049 | + | 1.16568i | ||||
\(385\) | −2.07186 | + | 5.99365i | −0.105592 | + | 0.305464i | ||||
\(386\) | 20.1309 | + | 11.6226i | 1.02464 | + | 0.591574i | ||||
\(387\) | 1.23983 | + | 1.47419i | 0.0630243 | + | 0.0749371i | ||||
\(388\) | 3.31647i | 0.168368i | ||||||||
\(389\) | 14.8316 | − | 17.6756i | 0.751993 | − | 0.896190i | −0.245320 | − | 0.969442i | \(-0.578893\pi\) |
0.997313 | + | 0.0732516i | \(0.0233376\pi\) | |||||||
\(390\) | 0.439770 | + | 4.99407i | 0.0222686 | + | 0.252884i | ||||
\(391\) | 7.85923 | − | 21.5931i | 0.397458 | − | 1.09201i | ||||
\(392\) | 6.04576 | + | 15.0682i | 0.305357 | + | 0.761060i | ||||
\(393\) | 1.37816 | + | 15.6505i | 0.0695191 | + | 0.789464i | ||||
\(394\) | −3.57382 | + | 1.30076i | −0.180047 | + | 0.0655316i | ||||
\(395\) | −2.31666 | −0.116564 | ||||||||
\(396\) | 1.94535 | − | 0.710543i | 0.0977577 | − | 0.0357061i | ||||
\(397\) | − | 17.4192i | − | 0.874245i | −0.899402 | − | 0.437122i | \(-0.855998\pi\) | ||
0.899402 | − | 0.437122i | \(-0.144002\pi\) | |||||||
\(398\) | 12.5421 | + | 10.5240i | 0.628677 | + | 0.527522i | ||||
\(399\) | −34.9791 | + | 3.65385i | −1.75115 | + | 0.182921i | ||||
\(400\) | 1.16475 | + | 6.60560i | 0.0582373 | + | 0.330280i | ||||
\(401\) | 7.35970 | − | 20.2206i | 0.367526 | − | 1.00977i | −0.608773 | − | 0.793344i | \(-0.708338\pi\) |
0.976299 | − | 0.216425i | \(-0.0694398\pi\) | |||||||
\(402\) | 5.35674 | − | 2.50158i | 0.267170 | − | 0.124767i | ||||
\(403\) | 1.47737 | − | 8.37857i | 0.0735929 | − | 0.417366i | ||||
\(404\) | −1.89672 | − | 3.28521i | −0.0943651 | − | 0.163445i | ||||
\(405\) | −13.1078 | − | 10.9483i | −0.651330 | − | 0.544025i | ||||
\(406\) | 11.7760 | + | 9.55954i | 0.584433 | + | 0.474432i | ||||
\(407\) | −3.45553 | − | 9.49398i | −0.171284 | − | 0.470599i | ||||
\(408\) | 1.39626 | − | 16.0639i | 0.0691251 | − | 0.795283i | ||||
\(409\) | 26.2126 | − | 4.62199i | 1.29613 | − | 0.228543i | 0.517314 | − | 0.855796i | \(-0.326932\pi\) |
0.778815 | + | 0.627253i | \(0.215821\pi\) | |||||||
\(410\) | 3.32468 | − | 9.13448i | 0.164194 | − | 0.451120i | ||||
\(411\) | 9.02424 | + | 33.6029i | 0.445133 | + | 1.65751i | ||||
\(412\) | −4.52671 | + | 5.39472i | −0.223015 | + | 0.265779i | ||||
\(413\) | 4.43564 | + | 3.60077i | 0.218264 | + | 0.177182i | ||||
\(414\) | −26.9969 | − | 4.72881i | −1.32683 | − | 0.232408i | ||||
\(415\) | 5.16496 | − | 8.94597i | 0.253538 | − | 0.439140i | ||||
\(416\) | 2.20545 | + | 1.85059i | 0.108131 | + | 0.0907326i | ||||
\(417\) | 5.59114 | − | 12.0080i | 0.273799 | − | 0.588032i | ||||
\(418\) | −15.2344 | + | 2.68624i | −0.745140 | + | 0.131388i | ||||
\(419\) | −5.47160 | − | 1.99150i | −0.267305 | − | 0.0972911i | 0.204890 | − | 0.978785i | \(-0.434316\pi\) |
−0.472196 | + | 0.881494i | \(0.656538\pi\) | |||||||
\(420\) | −2.66023 | + | 3.93852i | −0.129806 | + | 0.192180i | ||||
\(421\) | −0.858573 | + | 4.86921i | −0.0418443 | + | 0.237311i | −0.998556 | − | 0.0537277i | \(-0.982890\pi\) |
0.956711 | + | 0.291039i | \(0.0940008\pi\) | |||||||
\(422\) | −15.7762 | − | 9.10839i | −0.767973 | − | 0.443389i | ||||
\(423\) | −16.5114 | − | 19.6324i | −0.802813 | − | 0.954561i | ||||
\(424\) | 15.1760 | + | 26.2856i | 0.737011 | + | 1.27654i | ||||
\(425\) | 0.975096 | − | 5.53004i | 0.0472991 | − | 0.268246i | ||||
\(426\) | −0.476830 | + | 0.128055i | −0.0231025 | + | 0.00620429i | ||||
\(427\) | 7.12840 | + | 3.96257i | 0.344968 | + | 0.191762i | ||||
\(428\) | −0.503027 | − | 0.599485i | −0.0243147 | − | 0.0289772i | ||||
\(429\) | −1.19848 | + | 1.71366i | −0.0578630 | + | 0.0827365i | ||||
\(430\) | −1.91481 | − | 0.337633i | −0.0923405 | − | 0.0162821i | ||||
\(431\) | −10.1898 | − | 5.88309i | −0.490826 | − | 0.283378i | 0.234091 | − | 0.972215i | \(-0.424789\pi\) |
−0.724917 | + | 0.688836i | \(0.758122\pi\) | |||||||
\(432\) | −24.8138 | + | 2.21335i | −1.19386 | + | 0.106490i | ||||
\(433\) | 28.6389i | 1.37630i | 0.725569 | + | 0.688150i | \(0.241577\pi\) | ||||
−0.725569 | + | 0.688150i | \(0.758423\pi\) | |||||||
\(434\) | 28.3917 | − | 24.6205i | 1.36285 | − | 1.18182i | ||||
\(435\) | 1.02246 | − | 11.7633i | 0.0490230 | − | 0.564009i | ||||
\(436\) | 0.971968 | + | 0.353767i | 0.0465488 | + | 0.0169424i | ||||
\(437\) | 41.2878 | + | 15.0275i | 1.97506 | + | 0.718863i | ||||
\(438\) | 30.7088 | − | 8.24701i | 1.46732 | − | 0.394057i | ||||
\(439\) | 10.5707 | + | 1.86390i | 0.504513 | + | 0.0889593i | 0.420111 | − | 0.907473i | \(-0.361991\pi\) |
0.0844017 | + | 0.996432i | \(0.473102\pi\) | |||||||
\(440\) | 2.77971 | − | 4.81460i | 0.132517 | − | 0.229527i | ||||
\(441\) | −20.5467 | + | 4.33988i | −0.978413 | + | 0.206661i | ||||
\(442\) | −3.06112 | − | 5.30202i | −0.145603 | − | 0.252191i | ||||
\(443\) | 5.48081 | + | 15.0584i | 0.260401 | + | 0.715447i | 0.999140 | + | 0.0414550i | \(0.0131993\pi\) |
−0.738739 | + | 0.673991i | \(0.764578\pi\) | |||||||
\(444\) | −0.664204 | − | 7.54276i | −0.0315217 | − | 0.357963i | ||||
\(445\) | 8.19744 | − | 6.87847i | 0.388596 | − | 0.326071i | ||||
\(446\) | 3.04161 | + | 17.2498i | 0.144024 | + | 0.816802i | ||||
\(447\) | −7.35666 | − | 10.4938i | −0.347958 | − | 0.496338i | ||||
\(448\) | −2.39926 | − | 12.4230i | −0.113354 | − | 0.586931i | ||||
\(449\) | −15.5368 | + | 8.97017i | −0.733226 | + | 0.423328i | −0.819601 | − | 0.572934i | \(-0.805805\pi\) |
0.0863750 | + | 0.996263i | \(0.472472\pi\) | |||||||
\(450\) | −6.69769 | + | 0.00757502i | −0.315732 | + | 0.000357090i | ||||
\(451\) | 3.51145 | − | 2.02734i | 0.165348 | − | 0.0954635i | ||||
\(452\) | −0.162381 | − | 0.446138i | −0.00763775 | − | 0.0209846i | ||||
\(453\) | 2.76055 | − | 10.3258i | 0.129702 | − | 0.485151i | ||||
\(454\) | 23.6526 | − | 4.17059i | 1.11007 | − | 0.195736i | ||||
\(455\) | −0.0779720 | − | 4.79829i | −0.00365538 | − | 0.224948i | ||||
\(456\) | 30.7156 | + | 2.66977i | 1.43839 | + | 0.125023i | ||||
\(457\) | −17.5604 | − | 14.7349i | −0.821441 | − | 0.689271i | 0.131868 | − | 0.991267i | \(-0.457902\pi\) |
−0.953309 | + | 0.301997i | \(0.902347\pi\) | |||||||
\(458\) | −17.9300 | + | 31.0556i | −0.837813 | + | 1.45113i | ||||
\(459\) | 20.1545 | + | 5.36374i | 0.940730 | + | 0.250358i | ||||
\(460\) | 5.14218 | − | 2.96884i | 0.239755 | − | 0.138423i | ||||
\(461\) | −11.2905 | + | 4.10942i | −0.525852 | + | 0.191395i | −0.591285 | − | 0.806462i | \(-0.701379\pi\) |
0.0654330 | + | 0.997857i | \(0.479157\pi\) | |||||||
\(462\) | −8.88075 | + | 2.54037i | −0.413170 | + | 0.118189i | ||||
\(463\) | −0.859491 | + | 0.721198i | −0.0399439 | + | 0.0335169i | −0.662541 | − | 0.749026i | \(-0.730522\pi\) |
0.622597 | + | 0.782543i | \(0.286078\pi\) | |||||||
\(464\) | −11.0712 | − | 13.1941i | −0.513968 | − | 0.612523i | ||||
\(465\) | −28.2626 | − | 7.55581i | −1.31065 | − | 0.350393i | ||||
\(466\) | −43.9998 | + | 16.0146i | −2.03825 | + | 0.741863i | ||||
\(467\) | −13.1684 | −0.609360 | −0.304680 | − | 0.952455i | \(-0.598550\pi\) | ||||
−0.304680 | + | 0.952455i | \(0.598550\pi\) | |||||||
\(468\) | −1.19943 | + | 1.00876i | −0.0554438 | + | 0.0466298i | ||||
\(469\) | −5.28573 | + | 2.02170i | −0.244072 | + | 0.0933533i | ||||
\(470\) | 25.5005 | + | 4.49642i | 1.17625 | + | 0.207404i | ||||
\(471\) | 32.7694 | − | 2.88562i | 1.50993 | − | 0.132963i | ||||
\(472\) | −3.21939 | − | 3.83672i | −0.148184 | − | 0.176599i | ||||
\(473\) | −0.521315 | − | 0.621279i | −0.0239701 | − | 0.0285664i | ||||
\(474\) | −1.93701 | − | 2.76301i | −0.0889698 | − | 0.126909i | ||||
\(475\) | 10.5739 | + | 1.86447i | 0.485164 | + | 0.0855476i | ||||
\(476\) | 0.914847 | − | 5.73142i | 0.0419319 | − | 0.262699i | ||||
\(477\) | −36.8755 | + | 13.4688i | −1.68841 | + | 0.616696i | ||||
\(478\) | −44.3413 | −2.02812 | ||||||||
\(479\) | 21.0370 | − | 7.65686i | 0.961207 | − | 0.349851i | 0.186701 | − | 0.982417i | \(-0.440221\pi\) |
0.774506 | + | 0.632566i | \(0.217998\pi\) | |||||||
\(480\) | 6.99627 | − | 7.00418i | 0.319334 | − | 0.319696i | ||||
\(481\) | 4.91442 | + | 5.85678i | 0.224078 | + | 0.267046i | ||||
\(482\) | 0.0917442 | − | 0.0769825i | 0.00417883 | − | 0.00350646i | ||||
\(483\) | 25.4521 | + | 6.36321i | 1.15811 | + | 0.289536i | ||||
\(484\) | 4.83004 | − | 1.75799i | 0.219547 | − | 0.0799087i | ||||
\(485\) | −9.97214 | + | 5.75742i | −0.452811 | + | 0.261431i | ||||
\(486\) | 2.09800 | − | 24.7873i | 0.0951673 | − | 1.12437i | ||||
\(487\) | 14.1370 | − | 24.4860i | 0.640609 | − | 1.10957i | −0.344688 | − | 0.938717i | \(-0.612015\pi\) |
0.985297 | − | 0.170850i | \(-0.0546514\pi\) | |||||||
\(488\) | −5.47703 | − | 4.59577i | −0.247934 | − | 0.208041i | ||||
\(489\) | 1.40767 | − | 2.01278i | 0.0636571 | − | 0.0910212i | ||||
\(490\) | 13.0907 | − | 16.6723i | 0.591376 | − | 0.753178i | ||||
\(491\) | 36.4384 | − | 6.42508i | 1.64444 | − | 0.289960i | 0.726647 | − | 0.687012i | \(-0.241078\pi\) |
0.917796 | + | 0.397052i | \(0.129967\pi\) | |||||||
\(492\) | 2.93480 | − | 0.788157i | 0.132311 | − | 0.0355329i | ||||
\(493\) | 4.93168 | + | 13.5497i | 0.222112 | + | 0.610247i | ||||
\(494\) | 10.1379 | − | 5.85312i | 0.456126 | − | 0.263344i | ||||
\(495\) | 5.51365 | + | 4.61589i | 0.247820 | + | 0.207469i | ||||
\(496\) | −36.9569 | + | 21.3371i | −1.65941 | + | 0.958063i | ||||
\(497\) | 0.464030 | − | 0.0896182i | 0.0208146 | − | 0.00401993i | ||||
\(498\) | 14.9881 | − | 1.31983i | 0.671633 | − | 0.0591430i | ||||
\(499\) | −2.84889 | − | 16.1568i | −0.127534 | − | 0.723279i | −0.979771 | − | 0.200123i | \(-0.935866\pi\) |
0.852237 | − | 0.523156i | \(-0.175245\pi\) | |||||||
\(500\) | 5.08400 | − | 4.26598i | 0.227363 | − | 0.190780i | ||||
\(501\) | −22.3686 | + | 15.6816i | −0.999357 | + | 0.700600i | ||||
\(502\) | 10.5257 | + | 28.9190i | 0.469783 | + | 1.29072i | ||||
\(503\) | 4.98173 | + | 8.62860i | 0.222124 | + | 0.384730i | 0.955453 | − | 0.295144i | \(-0.0953676\pi\) |
−0.733329 | + | 0.679874i | \(0.762034\pi\) | |||||||
\(504\) | 18.4069 | − | 0.319936i | 0.819910 | − | 0.0142511i | ||||
\(505\) | 6.58543 | − | 11.4063i | 0.293048 | − | 0.507574i | ||||
\(506\) | 11.3645 | + | 2.00386i | 0.505213 | + | 0.0890827i | ||||
\(507\) | −5.40673 | + | 20.2239i | −0.240122 | + | 0.898177i | ||||
\(508\) | 6.97730 | + | 2.53953i | 0.309568 | + | 0.112673i | ||||
\(509\) | 6.46284 | + | 2.35228i | 0.286461 | + | 0.104263i | 0.481254 | − | 0.876581i | \(-0.340181\pi\) |
−0.194794 | + | 0.980844i | \(0.562404\pi\) | |||||||
\(510\) | −19.0746 | + | 8.90778i | −0.844638 | + | 0.394443i | ||||
\(511\) | −29.8844 | + | 5.77159i | −1.32201 | + | 0.255320i | ||||
\(512\) | 7.79950i | 0.344692i | ||||||||
\(513\) | −10.2559 | + | 38.5370i | −0.452810 | + | 1.70145i | ||||
\(514\) | −4.31250 | − | 2.48982i | −0.190216 | − | 0.109821i | ||||
\(515\) | −24.0796 | − | 4.24588i | −1.06107 | − | 0.187096i | ||||
\(516\) | −0.257189 | − | 0.550730i | −0.0113221 | − | 0.0242446i | ||||
\(517\) | 6.94259 | + | 8.27386i | 0.305335 | + | 0.363884i | ||||
\(518\) | 0.548705 | + | 33.7666i | 0.0241087 | + | 1.48362i | ||||
\(519\) | −13.3686 | − | 13.3535i | −0.586816 | − | 0.586152i | ||||
\(520\) | −0.730537 | + | 4.14308i | −0.0320362 | + | 0.181686i | ||||
\(521\) | −6.74329 | − | 11.6797i | −0.295429 | − | 0.511698i | 0.679656 | − | 0.733531i | \(-0.262129\pi\) |
−0.975085 | + | 0.221833i | \(0.928796\pi\) | |||||||
\(522\) | 14.8846 | − | 8.61612i | 0.651483 | − | 0.377117i | ||||
\(523\) | 30.3095 | + | 17.4992i | 1.32534 | + | 0.765188i | 0.984576 | − | 0.174960i | \(-0.0559796\pi\) |
0.340768 | + | 0.940147i | \(0.389313\pi\) | |||||||
\(524\) | 0.860881 | − | 4.88230i | 0.0376078 | − | 0.213284i | ||||
\(525\) | 6.39527 | + | 0.451310i | 0.279113 | + | 0.0196968i | ||||
\(526\) | 6.55088 | + | 2.38432i | 0.285632 | + | 0.103961i | ||||
\(527\) | 35.1830 | − | 6.20371i | 1.53260 | − | 0.270238i | ||||
\(528\) | 10.4486 | − | 0.920090i | 0.454718 | − | 0.0400418i | ||||
\(529\) | −7.48901 | − | 6.28403i | −0.325609 | − | 0.273219i | ||||
\(530\) | 19.8137 | − | 34.3183i | 0.860652 | − | 1.49069i | ||||
\(531\) | 5.60656 | − | 3.24541i | 0.243304 | − | 0.140839i | ||||
\(532\) | 10.9590 | + | 1.74927i | 0.475131 | + | 0.0758403i | ||||
\(533\) | −1.97227 | + | 2.35046i | −0.0854284 | + | 0.101810i | ||||
\(534\) | 15.0578 | + | 4.02559i | 0.651613 | + | 0.174204i | ||||
\(535\) | 0.929304 | − | 2.55324i | 0.0401773 | − | 0.110386i | ||||
\(536\) | 4.88576 | − | 0.861490i | 0.211032 | − | 0.0372107i | ||||
\(537\) | 37.1016 | − | 17.3263i | 1.60105 | − | 0.747685i | ||||
\(538\) | −0.468851 | − | 1.28816i | −0.0202136 | − | 0.0555364i | ||||
\(539\) | 8.65300 | − | 1.81747i | 0.372711 | − | 0.0782840i | ||||
\(540\) | 3.09856 | + | 4.40927i | 0.133341 | + | 0.189745i | ||||
\(541\) | 0.619421 | + | 1.07287i | 0.0266310 | + | 0.0461262i | 0.879034 | − | 0.476760i | \(-0.158189\pi\) |
−0.852403 | + | 0.522886i | \(0.824855\pi\) | |||||||
\(542\) | 1.51410 | − | 8.58688i | 0.0650361 | − | 0.368838i | ||||
\(543\) | 3.24585 | − | 37.3434i | 0.139293 | − | 1.60256i | ||||
\(544\) | −4.13483 | + | 11.3603i | −0.177279 | + | 0.487071i | ||||
\(545\) | 0.623617 | + | 3.53671i | 0.0267128 | + | 0.151496i | ||||
\(546\) | 5.65758 | − | 4.10495i | 0.242122 | − | 0.175675i | ||||
\(547\) | 21.3784 | + | 17.9386i | 0.914076 | + | 0.767000i | 0.972890 | − | 0.231269i | \(-0.0742876\pi\) |
−0.0588145 | + | 0.998269i | \(0.518732\pi\) | |||||||
\(548\) | − | 10.9791i | − | 0.469003i | ||||||
\(549\) | 7.07745 | − | 5.95234i | 0.302058 | − | 0.254040i | ||||
\(550\) | 2.81999 | 0.120245 | ||||||||
\(551\) | −25.9082 | + | 9.42980i | −1.10372 | + | 0.401723i | ||||
\(552\) | −20.8500 | − | 9.70819i | −0.887437 | − | 0.413208i | ||||
\(553\) | 1.66024 | + | 2.77065i | 0.0706004 | + | 0.117820i | ||||
\(554\) | 10.6748 | − | 29.3287i | 0.453527 | − | 1.24606i | ||||
\(555\) | 21.5269 | − | 15.0915i | 0.913767 | − | 0.640597i | ||||
\(556\) | −2.68666 | + | 3.20184i | −0.113940 | + | 0.135788i | ||||
\(557\) | − | 3.08064i | − | 0.130531i | −0.997868 | − | 0.0652654i | \(-0.979211\pi\) | ||
0.997868 | − | 0.0652654i | \(-0.0207894\pi\) | |||||||
\(558\) | −14.6194 | − | 40.0255i | −0.618887 | − | 1.69441i | ||||
\(559\) | 0.531504 | + | 0.306864i | 0.0224802 | + | 0.0129790i | ||||
\(560\) | −18.1855 | + | 15.7700i | −0.768478 | + | 0.666404i | ||||
\(561\) | −8.48324 | − | 2.26794i | −0.358163 | − | 0.0957524i | ||||
\(562\) | −16.3736 | + | 13.7391i | −0.690681 | + | 0.579550i | ||||
\(563\) | −0.842562 | − | 4.77841i | −0.0355098 | − | 0.201386i | 0.961892 | − | 0.273431i | \(-0.0881585\pi\) |
−0.997401 | + | 0.0720452i | \(0.977047\pi\) | |||||||
\(564\) | 3.42510 | + | 7.33433i | 0.144223 | + | 0.308831i | ||||
\(565\) | 1.05958 | − | 1.26276i | 0.0445768 | − | 0.0531245i | ||||
\(566\) | 17.1676 | 0.721610 | ||||||||
\(567\) | −3.70011 | + | 23.5225i | −0.155390 | + | 0.987853i | ||||
\(568\) | −0.414310 | −0.0173841 | ||||||||
\(569\) | 5.87514 | − | 7.00171i | 0.246298 | − | 0.293527i | −0.628705 | − | 0.777644i | \(-0.716415\pi\) |
0.875003 | + | 0.484117i | \(0.160859\pi\) | |||||||
\(570\) | −17.0324 | − | 36.4723i | −0.713410 | − | 1.52766i | ||||
\(571\) | −7.38382 | − | 41.8757i | −0.309003 | − | 1.75244i | −0.604036 | − | 0.796957i | \(-0.706442\pi\) |
0.295033 | − | 0.955487i | \(-0.404669\pi\) | |||||||
\(572\) | 0.505487 | − | 0.424154i | 0.0211355 | − | 0.0177348i | ||||
\(573\) | −36.6581 | − | 9.80028i | −1.53141 | − | 0.409413i | ||||
\(574\) | −13.3072 | + | 2.57002i | −0.555431 | + | 0.107270i | ||||
\(575\) | −6.93646 | − | 4.00477i | −0.289271 | − | 0.167010i | ||||
\(576\) | −14.1315 | − | 2.47529i | −0.588813 | − | 0.103137i | ||||
\(577\) | 36.8985i | 1.53611i | 0.640386 | + | 0.768053i | \(0.278774\pi\) | ||||
−0.640386 | + | 0.768053i | \(0.721226\pi\) | |||||||
\(578\) | −0.912842 | + | 1.08788i | −0.0379692 | + | 0.0452500i | ||||
\(579\) | −20.6590 | + | 14.4830i | −0.858561 | + | 0.601894i | ||||
\(580\) | −1.27433 | + | 3.50121i | −0.0529139 | + | 0.145380i | ||||
\(581\) | −14.4005 | + | 0.234008i | −0.597435 | + | 0.00970829i | ||||
\(582\) | −15.2046 | − | 7.07955i | −0.630251 | − | 0.293457i | ||||
\(583\) | 15.5324 | − | 5.65334i | 0.643287 | − | 0.234137i | ||||
\(584\) | 26.6824 | 1.10413 | ||||||||
\(585\) | −5.11541 | − | 1.85531i | −0.211496 | − | 0.0767076i | ||||
\(586\) | − | 14.3243i | − | 0.591730i | ||||||
\(587\) | 21.4793 | + | 18.0233i | 0.886545 | + | 0.743900i | 0.967514 | − | 0.252817i | \(-0.0813570\pi\) |
−0.0809690 | + | 0.996717i | \(0.525801\pi\) | |||||||
\(588\) | 6.61680 | + | 0.359008i | 0.272872 | + | 0.0148052i | ||||
\(589\) | 11.8620 | + | 67.2729i | 0.488766 | + | 2.77193i | ||||
\(590\) | −2.23648 | + | 6.14469i | −0.0920746 | + | 0.252973i | ||||
\(591\) | 0.357447 | − | 4.11242i | 0.0147034 | − | 0.169162i | ||||
\(592\) | 6.65920 | − | 37.7662i | 0.273691 | − | 1.55218i | ||||
\(593\) | −12.0746 | − | 20.9138i | −0.495845 | − | 0.858828i | 0.504144 | − | 0.863620i | \(-0.331808\pi\) |
−0.999989 | + | 0.00479135i | \(0.998475\pi\) | |||||||
\(594\) | −0.895142 | + | 10.4354i | −0.0367281 | + | 0.428169i | ||||
\(595\) | 18.8217 | − | 7.19898i | 0.771616 | − | 0.295129i | ||||
\(596\) | 1.38311 | + | 3.80007i | 0.0566545 | + | 0.155657i | ||||
\(597\) | −16.1013 | + | 7.51924i | −0.658982 | + | 0.307742i | ||||
\(598\) | −8.59988 | + | 1.51639i | −0.351675 | + | 0.0620098i | ||||
\(599\) | −12.4973 | + | 34.3360i | −0.510625 | + | 1.40293i | 0.369963 | + | 0.929046i | \(0.379370\pi\) |
−0.880588 | + | 0.473883i | \(0.842852\pi\) | |||||||
\(600\) | −5.42969 | − | 1.45159i | −0.221666 | − | 0.0592610i | ||||
\(601\) | 7.41347 | − | 8.83503i | 0.302402 | − | 0.360388i | −0.593349 | − | 0.804945i | \(-0.702195\pi\) |
0.895750 | + | 0.444557i | \(0.146639\pi\) | |||||||
\(602\) | 0.968453 | + | 2.53202i | 0.0394712 | + | 0.103197i | ||||
\(603\) | 0.00725744 | + | 6.41689i | 0.000295546 | + | 0.261316i | ||||
\(604\) | −1.68637 | + | 2.92088i | −0.0686175 | + | 0.118849i | ||||
\(605\) | 13.6710 | + | 11.4714i | 0.555806 | + | 0.466377i | ||||
\(606\) | 19.1101 | − | 1.68281i | 0.776296 | − | 0.0683595i | ||||
\(607\) | −23.6818 | + | 4.17574i | −0.961215 | + | 0.169488i | −0.632173 | − | 0.774827i | \(-0.717837\pi\) |
−0.329042 | + | 0.944315i | \(0.606726\pi\) | |||||||
\(608\) | −21.7219 | − | 7.90614i | −0.880941 | − | 0.320636i | ||||
\(609\) | −14.8013 | + | 7.20737i | −0.599779 | + | 0.292057i | ||||
\(610\) | −1.62095 | + | 9.19287i | −0.0656304 | + | 0.372208i | ||||
\(611\) | −7.07828 | − | 4.08664i | −0.286356 | − | 0.165328i | ||||
\(612\) | −5.70311 | − | 3.28409i | −0.230534 | − | 0.132752i | ||||
\(613\) | 16.8432 | + | 29.1732i | 0.680289 | + | 1.17830i | 0.974893 | + | 0.222676i | \(0.0714790\pi\) |
−0.294604 | + | 0.955620i | \(0.595188\pi\) | |||||||
\(614\) | 5.58336 | − | 31.6648i | 0.225326 | − | 1.27789i | ||||
\(615\) | 7.46472 | + | 7.45628i | 0.301007 | + | 0.300666i | ||||
\(616\) | −7.75017 | + | 0.125940i | −0.312263 | + | 0.00507426i | ||||
\(617\) | 5.69508 | + | 6.78713i | 0.229275 | + | 0.273240i | 0.868401 | − | 0.495863i | \(-0.165148\pi\) |
−0.639126 | + | 0.769102i | \(0.720704\pi\) | |||||||
\(618\) | −15.0695 | − | 32.2690i | −0.606184 | − | 1.29805i | ||||
\(619\) | −3.94848 | − | 0.696223i | −0.158703 | − | 0.0279836i | 0.0937322 | − | 0.995597i | \(-0.470120\pi\) |
−0.252435 | + | 0.967614i | \(0.581231\pi\) | |||||||
\(620\) | 7.99466 | + | 4.61572i | 0.321073 | + | 0.185372i | ||||
\(621\) | 17.0215 | − | 24.3972i | 0.683050 | − | 0.979028i | ||||
\(622\) | 4.53193i | 0.181714i | ||||||||
\(623\) | −14.1011 | − | 4.87441i | −0.564949 | − | 0.195289i | ||||
\(624\) | −7.19184 | + | 3.35856i | −0.287904 | + | 0.134450i | ||||
\(625\) | 15.0798 | + | 5.48858i | 0.603190 | + | 0.219543i | ||||
\(626\) | −13.9855 | − | 5.09031i | −0.558973 | − | 0.203450i | ||||
\(627\) | 4.33649 | − | 16.2207i | 0.173183 | − | 0.647792i | ||||
\(628\) | −10.2227 | − | 1.80253i | −0.407929 | − | 0.0719288i | ||||
\(629\) | −16.0523 | + | 27.8035i | −0.640049 | + | 1.10860i | ||||
\(630\) | −12.3777 | − | 20.6035i | −0.493141 | − | 0.820862i | ||||
\(631\) | −6.55511 | − | 11.3538i | −0.260955 | − | 0.451987i | 0.705541 | − | 0.708669i | \(-0.250704\pi\) |
−0.966496 | + | 0.256682i | \(0.917371\pi\) | |||||||
\(632\) | −0.968460 | − | 2.66082i | −0.0385233 | − | 0.105842i | ||||
\(633\) | 16.1901 | − | 11.3501i | 0.643498 | − | 0.451124i | ||||
\(634\) | 21.5561 | − | 18.0877i | 0.856100 | − | 0.718354i | ||||
\(635\) | 4.47666 | + | 25.3884i | 0.177651 | + | 1.00751i | ||||
\(636\) | 12.3402 | − | 1.08666i | 0.489320 | − | 0.0430887i | ||||
\(637\) | −5.68272 | + | 3.53195i | −0.225158 | + | 0.139941i | ||||
\(638\) | −6.27111 | + | 3.62063i | −0.248276 | + | 0.143342i | ||||
\(639\) | 0.0924582 | − | 0.527847i | 0.00365759 | − | 0.0208813i | ||||
\(640\) | 22.4412 | − | 12.9564i | 0.887066 | − | 0.512148i | ||||
\(641\) | 2.73177 | + | 7.50547i | 0.107898 | + | 0.296448i | 0.981878 | − | 0.189514i | \(-0.0606913\pi\) |
−0.873980 | + | 0.485963i | \(0.838469\pi\) | |||||||
\(642\) | 3.82218 | − | 1.02647i | 0.150849 | − | 0.0405114i | ||||
\(643\) | −38.0449 | + | 6.70834i | −1.50034 | + | 0.264551i | −0.862675 | − | 0.505759i | \(-0.831213\pi\) |
−0.637669 | + | 0.770310i | \(0.720101\pi\) | |||||||
\(644\) | −7.23577 | − | 4.02226i | −0.285129 | − | 0.158499i | ||||
\(645\) | 1.20948 | − | 1.72940i | 0.0476234 | − | 0.0680952i | ||||
\(646\) | 37.6560 | + | 31.5972i | 1.48156 | + | 1.24317i | ||||
\(647\) | 19.9091 | − | 34.4836i | 0.782707 | − | 1.35569i | −0.147652 | − | 0.989039i | \(-0.547171\pi\) |
0.930359 | − | 0.366650i | \(-0.119495\pi\) | |||||||
\(648\) | 7.09516 | − | 19.6319i | 0.278724 | − | 0.771212i | ||||
\(649\) | −2.36212 | + | 1.36377i | −0.0927214 | + | 0.0535327i | ||||
\(650\) | −2.00528 | + | 0.729863i | −0.0786536 | + | 0.0286276i | ||||
\(651\) | 11.2179 | + | 39.2160i | 0.439663 | + | 1.53700i | ||||
\(652\) | −0.593720 | + | 0.498190i | −0.0232519 | + | 0.0195106i | ||||
\(653\) | −18.7469 | − | 22.3417i | −0.733623 | − | 0.874298i | 0.262255 | − | 0.964999i | \(-0.415534\pi\) |
−0.995878 | + | 0.0907005i | \(0.971089\pi\) | |||||||
\(654\) | −3.69670 | + | 3.70088i | −0.144552 | + | 0.144716i | ||||
\(655\) | 16.1749 | − | 5.88717i | 0.632005 | − | 0.230031i | ||||
\(656\) | 15.3902 | 0.600888 | ||||||||
\(657\) | −5.95449 | + | 33.9944i | −0.232307 | + | 1.32625i | ||||
\(658\) | −12.8973 | − | 33.7201i | −0.502790 | − | 1.31454i | ||||
\(659\) | 20.9180 | + | 3.68841i | 0.814851 | + | 0.143680i | 0.565516 | − | 0.824737i | \(-0.308677\pi\) |
0.249335 | + | 0.968417i | \(0.419788\pi\) | |||||||
\(660\) | −1.30251 | − | 1.85795i | −0.0507003 | − | 0.0723204i | ||||
\(661\) | −14.2388 | − | 16.9691i | −0.553824 | − | 0.660021i | 0.414404 | − | 0.910093i | \(-0.363990\pi\) |
−0.968227 | + | 0.250072i | \(0.919546\pi\) | |||||||
\(662\) | −28.0718 | − | 33.4547i | −1.09104 | − | 1.30025i | ||||
\(663\) | 6.61939 | − | 0.582893i | 0.257076 | − | 0.0226377i | ||||
\(664\) | 12.4341 | + | 2.19247i | 0.482538 | + | 0.0850845i | ||||
\(665\) | 13.7651 | + | 35.9888i | 0.533786 | + | 1.39558i | ||||
\(666\) | 35.9982 | + | 13.0562i | 1.39490 | + | 0.505917i | ||||
\(667\) | 20.5672 | 0.796363 | ||||||||
\(668\) | 8.10028 | − | 2.94826i | 0.313409 | − | 0.114072i | ||||
\(669\) | −18.3665 | − | 4.91017i | −0.710091 | − | 0.189838i | ||||
\(670\) | −4.16348 | − | 4.96184i | −0.160849 | − | 0.191693i | ||||
\(671\) | −2.98271 | + | 2.50279i | −0.115146 | + | 0.0966192i | ||||
\(672\) | −13.3906 | − | 3.34776i | −0.516555 | − | 0.129142i | ||||
\(673\) | 15.9545 | − | 5.80696i | 0.615000 | − | 0.223842i | −0.0156895 | − | 0.999877i | \(-0.504994\pi\) |
0.630690 | + | 0.776035i | \(0.282772\pi\) | |||||||
\(674\) | −20.8356 | + | 12.0294i | −0.802556 | + | 0.463356i | ||||
\(675\) | 3.06108 | − | 6.59369i | 0.117821 | − | 0.253791i | ||||
\(676\) | 3.30288 | − | 5.72076i | 0.127034 | − | 0.220029i | ||||
\(677\) | 32.1184 | + | 26.9506i | 1.23441 | + | 1.03579i | 0.997940 | + | 0.0641557i | \(0.0204354\pi\) |
0.236471 | + | 0.971638i | \(0.424009\pi\) | |||||||
\(678\) | 2.39198 | + | 0.207908i | 0.0918635 | + | 0.00798467i | ||||
\(679\) | 14.0322 | + | 7.80029i | 0.538507 | + | 0.299348i | ||||
\(680\) | −17.3975 | + | 3.06765i | −0.667163 | + | 0.117639i | ||||
\(681\) | −6.73273 | + | 25.1838i | −0.257999 | + | 0.965046i | ||||
\(682\) | 6.13625 | + | 16.8592i | 0.234969 | + | 0.645572i | ||||
\(683\) | 1.35935 | − | 0.784820i | 0.0520140 | − | 0.0300303i | −0.473767 | − | 0.880650i | \(-0.657106\pi\) |
0.525782 | + | 0.850620i | \(0.323773\pi\) | |||||||
\(684\) | 6.27947 | − | 10.9048i | 0.240101 | − | 0.416956i | ||||
\(685\) | 33.0125 | − | 19.0598i | 1.26134 | − | 0.728236i | ||||
\(686\) | −29.3209 | − | 3.70778i | −1.11948 | − | 0.141564i | ||||
\(687\) | −22.3427 | − | 31.8704i | −0.852428 | − | 1.21593i | ||||
\(688\) | −0.534555 | − | 3.03161i | −0.0203797 | − | 0.115579i | ||||
\(689\) | −9.58186 | + | 8.04014i | −0.365040 | + | 0.306305i | ||||
\(690\) | 2.63402 | + | 29.9122i | 0.100276 | + | 1.13874i | ||||
\(691\) | 12.6872 | + | 34.8577i | 0.482643 | + | 1.32605i | 0.907219 | + | 0.420658i | \(0.138201\pi\) |
−0.424577 | + | 0.905392i | \(0.639577\pi\) | |||||||
\(692\) | 2.98121 | + | 5.16360i | 0.113328 | + | 0.196291i | ||||
\(693\) | 1.56909 | − | 9.90212i | 0.0596048 | − | 0.376150i | ||||
\(694\) | −19.3251 | + | 33.4720i | −0.733569 | + | 1.27058i | ||||
\(695\) | −14.2916 | − | 2.51999i | −0.542109 | − | 0.0955885i | ||||
\(696\) | 13.9383 | − | 3.74321i | 0.528330 | − | 0.141886i | ||||
\(697\) | −12.1073 | − | 4.40670i | −0.458597 | − | 0.166916i | ||||
\(698\) | 8.42014 | + | 3.06468i | 0.318707 | + | 0.116000i | ||||
\(699\) | 4.40078 | − | 50.6309i | 0.166453 | − | 1.91504i | ||||
\(700\) | −1.91203 | − | 0.660942i | −0.0722679 | − | 0.0249813i | ||||
\(701\) | − | 8.24161i | − | 0.311281i | −0.987814 | − | 0.155641i | \(-0.950256\pi\) | ||
0.987814 | − | 0.155641i | \(-0.0497442\pi\) | |||||||
\(702\) | −2.06433 | − | 7.65225i | −0.0779133 | − | 0.288816i | ||||
\(703\) | −53.1626 | − | 30.6934i | −2.00506 | − | 1.15762i | ||||
\(704\) | 5.94872 | + | 1.04892i | 0.224201 | + | 0.0395327i | ||||
\(705\) | −16.1073 | + | 23.0313i | −0.606635 | + | 0.867408i | ||||
\(706\) | 22.2452 | + | 26.5108i | 0.837209 | + | 0.997747i | ||||
\(707\) | −18.3610 | + | 0.298365i | −0.690537 | + | 0.0112212i | ||||
\(708\) | −1.97422 | + | 0.530187i | −0.0741956 | + | 0.0199256i | ||||
\(709\) | 2.29888 | − | 13.0376i | 0.0863361 | − | 0.489636i | −0.910724 | − | 0.413015i | \(-0.864476\pi\) |
0.997060 | − | 0.0766212i | \(-0.0244132\pi\) | |||||||
\(710\) | 0.270461 | + | 0.468452i | 0.0101502 | + | 0.0175807i | ||||
\(711\) | 3.60611 | − | 0.640061i | 0.135240 | − | 0.0240042i | ||||
\(712\) | 11.3272 | + | 6.53976i | 0.424504 | + | 0.245088i | ||||
\(713\) | 8.84875 | − | 50.1838i | 0.331388 | − | 1.87940i | ||||
\(714\) | 24.3232 | + | 16.4289i | 0.910274 | + | 0.614834i | ||||
\(715\) | 2.15290 | + | 0.783592i | 0.0805139 | + | 0.0293047i | ||||
\(716\) | −12.7248 | + | 2.24372i | −0.475546 | + | 0.0838517i | ||||
\(717\) | 20.3149 | − | 43.6298i | 0.758673 | − | 1.62938i | ||||
\(718\) | −26.8206 | − | 22.5051i | −1.00093 | − | 0.839884i | ||||
\(719\) | 5.67371 | − | 9.82715i | 0.211594 | − | 0.366491i | −0.740620 | − | 0.671924i | \(-0.765468\pi\) |
0.952213 | + | 0.305433i | \(0.0988013\pi\) | |||||||
\(720\) | 9.36401 | + | 25.6372i | 0.348976 | + | 0.955441i | ||||
\(721\) | 12.1787 | + | 31.8411i | 0.453558 | + | 1.18583i | ||||
\(722\) | −40.9271 | + | 48.7751i | −1.52315 | + | 1.81522i | ||||
\(723\) | 0.0337148 | + | 0.125541i | 0.00125387 | + | 0.00466894i | ||||
\(724\) | −4.04545 | + | 11.1148i | −0.150348 | + | 0.413078i | ||||
\(725\) | 4.94965 | − | 0.872757i | 0.183825 | − | 0.0324134i | ||||
\(726\) | −2.25089 | + | 25.8964i | −0.0835383 | + | 0.961106i | ||||
\(727\) | 7.94102 | + | 21.8178i | 0.294516 | + | 0.809176i | 0.995392 | + | 0.0958928i | \(0.0305706\pi\) |
−0.700876 | + | 0.713284i | \(0.747207\pi\) | |||||||
\(728\) | 5.47853 | − | 2.09544i | 0.203048 | − | 0.0776622i | ||||
\(729\) | 23.4284 | + | 13.4206i | 0.867717 | + | 0.497059i | ||||
\(730\) | −17.4182 | − | 30.1692i | −0.644677 | − | 1.11661i | ||||
\(731\) | −0.447516 | + | 2.53799i | −0.0165520 | + | 0.0938710i | ||||
\(732\) | −2.64401 | + | 1.23474i | −0.0977255 | + | 0.0456375i | ||||
\(733\) | 5.56879 | − | 15.3001i | 0.205688 | − | 0.565123i | −0.793360 | − | 0.608753i | \(-0.791670\pi\) |
0.999048 | + | 0.0436299i | \(0.0138922\pi\) | |||||||
\(734\) | −3.15849 | − | 17.9127i | −0.116582 | − | 0.661170i | ||||
\(735\) | 10.4073 | + | 20.5190i | 0.383880 | + | 0.756855i | ||||
\(736\) | 13.2096 | + | 11.0842i | 0.486913 | + | 0.408568i | ||||
\(737\) | − | 2.70176i | − | 0.0995205i | ||||||
\(738\) | −2.65146 | + | 15.1373i | −0.0976016 | + | 0.557211i | ||||
\(739\) | −10.8959 | −0.400813 | −0.200406 | − | 0.979713i | \(-0.564226\pi\) | ||||
−0.200406 | + | 0.979713i | \(0.564226\pi\) | |||||||
\(740\) | −7.79547 | + | 2.83732i | −0.286567 | + | 0.104302i | ||||
\(741\) | 1.11454 | + | 12.6568i | 0.0409437 | + | 0.464960i | ||||
\(742\) | −55.2431 | + | 0.897697i | −2.02804 | + | 0.0329555i | ||||
\(743\) | −16.4197 | + | 45.1128i | −0.602381 | + | 1.65503i | 0.144054 | + | 0.989570i | \(0.453986\pi\) |
−0.746435 | + | 0.665458i | \(0.768236\pi\) | |||||||
\(744\) | −3.13664 | − | 35.6199i | −0.114995 | − | 1.30589i | ||||
\(745\) | −9.02517 | + | 10.7558i | −0.330657 | + | 0.394061i | ||||
\(746\) | 59.8056i | 2.18964i | ||||||||
\(747\) | −5.56812 | + | 15.3523i | −0.203727 | + | 0.561711i | ||||
\(748\) | 2.39966 | + | 1.38544i | 0.0877403 | + | 0.0506569i | ||||
\(749\) | −3.71958 | + | 0.718363i | −0.135910 | + | 0.0262484i | ||||
\(750\) | 8.70507 | + | 32.4144i | 0.317864 | + | 1.18361i | ||||
\(751\) | 16.0679 | − | 13.4826i | 0.586328 | − | 0.491987i | −0.300690 | − | 0.953722i | \(-0.597217\pi\) |
0.887018 | + | 0.461734i | \(0.152773\pi\) | |||||||
\(752\) | 7.11892 | + | 40.3734i | 0.259600 | + | 1.47227i | ||||
\(753\) | −33.2773 | − | 2.89242i | −1.21269 | − | 0.105406i | ||||
\(754\) | 3.52228 | − | 4.19769i | 0.128274 | − | 0.152871i | ||||
\(755\) | −11.7102 | −0.426179 | ||||||||
\(756\) | 3.05275 | − | 6.86568i | 0.111028 | − | 0.249702i | ||||
\(757\) | −24.6333 | −0.895314 | −0.447657 | − | 0.894205i | \(-0.647741\pi\) | ||||
−0.447657 | + | 0.894205i | \(0.647741\pi\) | |||||||
\(758\) | 4.83473 | − | 5.76181i | 0.175605 | − | 0.209278i | ||||
\(759\) | −7.17833 | + | 10.2641i | −0.260557 | + | 0.372562i | ||||
\(760\) | −5.86560 | − | 33.2655i | −0.212768 | − | 1.20667i | ||||
\(761\) | −7.15928 | + | 6.00735i | −0.259524 | + | 0.217766i | −0.763260 | − | 0.646091i | \(-0.776403\pi\) |
0.503737 | + | 0.863857i | \(0.331958\pi\) | |||||||
\(762\) | −26.5369 | + | 26.5669i | −0.961330 | + | 0.962418i | ||||
\(763\) | 3.78287 | − | 3.28041i | 0.136949 | − | 0.118759i | ||||
\(764\) | 10.3695 | + | 5.98683i | 0.375155 | + | 0.216596i | ||||
\(765\) | −0.0258427 | − | 22.8496i | −0.000934345 | − | 0.826130i | ||||
\(766\) | − | 11.9707i | − | 0.432518i | ||||||
\(767\) | 1.32673 | − | 1.58113i | 0.0479054 | − | 0.0570914i | ||||
\(768\) | 19.1983 | + | 8.93911i | 0.692760 | + | 0.322562i | ||||
\(769\) | −3.02496 | + | 8.31100i | −0.109083 | + | 0.299702i | −0.982209 | − | 0.187792i | \(-0.939867\pi\) |
0.873126 | + | 0.487494i | \(0.162089\pi\) | |||||||
\(770\) | 5.20169 | + | 8.68074i | 0.187456 | + | 0.312832i | ||||
\(771\) | 4.42564 | − | 3.10260i | 0.159385 | − | 0.111737i | ||||
\(772\) | 7.48119 | − | 2.72293i | 0.269254 | − | 0.0980004i | ||||
\(773\) | 14.1312 | 0.508263 | 0.254131 | − | 0.967170i | \(-0.418210\pi\) | ||||
0.254131 | + | 0.967170i | \(0.418210\pi\) | |||||||
\(774\) | 3.07388 | − | 0.00347653i | 0.110488 | − | 0.000124961i | ||||
\(775\) | − | 12.4526i | − | 0.447311i | ||||||
\(776\) | −10.7815 | − | 9.04675i | −0.387033 | − | 0.324759i | ||||
\(777\) | −33.4761 | − | 14.9302i | −1.20095 | − | 0.535618i | ||||
\(778\) | −6.39392 | − | 36.2617i | −0.229233 | − | 1.30005i | ||||
\(779\) | 8.42598 | − | 23.1502i | 0.301892 | − | 0.829442i | ||||
\(780\) | 1.40708 | + | 0.984065i | 0.0503817 | + | 0.0352352i | ||||
\(781\) | −0.0391798 | + | 0.222200i | −0.00140196 | + | 0.00795093i | ||||
\(782\) | −18.3347 | − | 31.7566i | −0.655648 | − | 1.13562i | ||||
\(783\) | 1.65849 | + | 18.5933i | 0.0592696 | + | 0.664469i | ||||
\(784\) | 31.8930 | + | 10.4477i | 1.13904 | + | 0.373132i | ||||
\(785\) | −12.3267 | − | 33.8673i | −0.439958 | − | 1.20878i | ||||
\(786\) | 20.5456 | + | 14.3689i | 0.732837 | + | 0.512520i | ||||
\(787\) | −27.1926 | + | 4.79479i | −0.969312 | + | 0.170916i | −0.635820 | − | 0.771837i | \(-0.719338\pi\) |
−0.333492 | + | 0.942753i | \(0.608227\pi\) | |||||||
\(788\) | −0.445503 | + | 1.22401i | −0.0158704 | + | 0.0436035i | ||||
\(789\) | −5.34734 | + | 5.35339i | −0.190370 | + | 0.190586i | ||||
\(790\) | −2.37633 | + | 2.83200i | −0.0845459 | + | 0.100758i | ||||
\(791\) | −2.26956 | − | 0.362266i | −0.0806962 | − | 0.0128807i | ||||
\(792\) | −2.99668 | + | 8.26238i | −0.106483 | + | 0.293591i | ||||
\(793\) | 1.47323 | − | 2.55171i | 0.0523159 | − | 0.0906137i | ||||
\(794\) | −21.2940 | − | 17.8678i | −0.755697 | − | 0.634105i | ||||
\(795\) | 24.6901 | + | 35.2187i | 0.875666 | + | 1.24908i | ||||
\(796\) | 5.52227 | − | 0.973726i | 0.195732 | − | 0.0345128i | ||||
\(797\) | −32.0647 | − | 11.6706i | −1.13579 | − | 0.413394i | −0.295399 | − | 0.955374i | \(-0.595453\pi\) |
−0.840391 | + | 0.541980i | \(0.817675\pi\) | |||||||
\(798\) | −31.4134 | + | 46.5081i | −1.11202 | + | 1.64637i | ||||
\(799\) | 5.95978 | − | 33.7996i | 0.210842 | − | 1.19574i | ||||
\(800\) | 3.64935 | + | 2.10695i | 0.129024 | + | 0.0744921i | ||||
\(801\) | −10.8597 | + | 12.9718i | −0.383708 | + | 0.458337i | ||||
\(802\) | −17.1694 | − | 29.7382i | −0.606272 | − | 1.05009i | ||||
\(803\) | 2.52326 | − | 14.3101i | 0.0890438 | − | 0.504992i | ||||
\(804\) | 0.522962 | − | 1.95614i | 0.0184434 | − | 0.0689879i | ||||
\(805\) | −0.467017 | − | 28.7396i | −0.0164602 | − | 1.01294i | ||||
\(806\) | −8.72693 | − | 10.4004i | −0.307393 | − | 0.366337i | ||||
\(807\) | 1.48229 | + | 0.128839i | 0.0521791 | + | 0.00453535i | ||||
\(808\) | 15.8538 | + | 2.79545i | 0.557734 | + | 0.0983436i | ||||
\(809\) | 8.13629 | + | 4.69749i | 0.286057 | + | 0.165155i | 0.636162 | − | 0.771555i | \(-0.280521\pi\) |
−0.350105 | + | 0.936710i | \(0.613854\pi\) | |||||||
\(810\) | −26.8290 | + | 4.79328i | −0.942676 | + | 0.168419i | ||||
\(811\) | 31.3300i | 1.10014i | 0.835117 | + | 0.550072i | \(0.185400\pi\) | ||||
−0.835117 | + | 0.550072i | \(0.814600\pi\) | |||||||
\(812\) | 5.10058 | − | 0.985076i | 0.178995 | − | 0.0345694i | ||||
\(813\) | 7.75541 | + | 5.42387i | 0.271994 | + | 0.190223i | ||||
\(814\) | −15.1504 | − | 5.51429i | −0.531021 | − | 0.193276i | ||||
\(815\) | −2.52869 | − | 0.920367i | −0.0885761 | − | 0.0322391i | ||||
\(816\) | −23.5816 | − | 23.5549i | −0.825519 | − | 0.824586i | ||||
\(817\) | −4.85286 | − | 0.855689i | −0.169780 | − | 0.0299368i | ||||
\(818\) | 21.2375 | − | 36.7845i | 0.742554 | − | 1.28614i | ||||
\(819\) | 1.44707 | + | 7.44747i | 0.0505648 | + | 0.260236i | ||||
\(820\) | −1.66464 | − | 2.88324i | −0.0581317 | − | 0.100687i | ||||
\(821\) | 2.24413 | + | 6.16570i | 0.0783208 | + | 0.215185i | 0.972673 | − | 0.232179i | \(-0.0745854\pi\) |
−0.894352 | + | 0.447363i | \(0.852363\pi\) | |||||||
\(822\) | 50.3344 | + | 23.4367i | 1.75561 | + | 0.817448i | ||||
\(823\) | −17.8354 | + | 14.9657i | −0.621704 | + | 0.521672i | −0.898339 | − | 0.439303i | \(-0.855225\pi\) |
0.276634 | + | 0.960975i | \(0.410781\pi\) | |||||||
\(824\) | −5.18961 | − | 29.4317i | −0.180789 | − | 1.02530i | ||||
\(825\) | −1.29197 | + | 2.77474i | −0.0449807 | + | 0.0966040i | ||||
\(826\) | 8.95162 | − | 1.72883i | 0.311467 | − | 0.0601537i | ||||
\(827\) | 33.9354 | − | 19.5926i | 1.18005 | − | 0.681302i | 0.224023 | − | 0.974584i | \(-0.428081\pi\) |
0.956026 | + | 0.293282i | \(0.0947476\pi\) | |||||||
\(828\) | −7.18405 | + | 6.04199i | −0.249663 | + | 0.209974i | ||||
\(829\) | −31.3173 | + | 18.0811i | −1.08770 | + | 0.627981i | −0.932962 | − | 0.359975i | \(-0.882785\pi\) |
−0.154733 | + | 0.987956i | \(0.549452\pi\) | |||||||
\(830\) | −5.63799 | − | 15.4903i | −0.195698 | − | 0.537675i | ||||
\(831\) | 23.9674 | + | 23.9404i | 0.831421 | + | 0.830482i | ||||
\(832\) | −4.50160 | + | 0.793753i | −0.156065 | + | 0.0275184i | ||||
\(833\) | −22.0983 | − | 17.3510i | −0.765662 | − | 0.601177i | ||||
\(834\) | −8.94395 | − | 19.1521i | −0.309704 | − | 0.663182i | ||||
\(835\) | 22.9272 | + | 19.2382i | 0.793427 | + | 0.665764i | ||||
\(836\) | −2.64909 | + | 4.58836i | −0.0916206 | + | 0.158692i | ||||
\(837\) | 46.0811 | + | 3.95281i | 1.59279 | + | 0.136629i | ||||
\(838\) | −8.04702 | + | 4.64595i | −0.277980 | + | 0.160492i | ||||
\(839\) | −35.7513 | + | 13.0124i | −1.23427 | + | 0.449238i | −0.875058 | − | 0.484018i | \(-0.839177\pi\) |
−0.359212 | + | 0.933256i | \(0.616955\pi\) | |||||||
\(840\) | −5.54708 | − | 19.3918i | −0.191393 | − | 0.669079i | ||||
\(841\) | 12.3288 | − | 10.3451i | 0.425130 | − | 0.356726i | ||||
\(842\) | 5.07166 | + | 6.04417i | 0.174781 | + | 0.208296i | ||||
\(843\) | −6.01711 | − | 22.4055i | −0.207240 | − | 0.771686i | ||||
\(844\) | −5.86285 | + | 2.13390i | −0.201808 | + | 0.0734520i | ||||
\(845\) | 22.9353 | 0.789000 | ||||||||
\(846\) | −40.9362 | + | 0.0462985i | −1.40742 | + | 0.00159178i | ||||
\(847\) | 3.92202 | − | 24.5710i | 0.134762 | − | 0.844270i | ||||
\(848\) | 61.7866 | + | 10.8946i | 2.12176 | + | 0.374124i | ||||
\(849\) | −7.86532 | + | 16.8922i | −0.269937 | + | 0.579738i | ||||
\(850\) | −5.75997 | − | 6.86447i | −0.197565 | − | 0.235449i | ||||
\(851\) | 29.4352 | + | 35.0794i | 1.00902 | + | 1.20251i | ||||
\(852\) | −0.0713770 | + | 0.153295i | −0.00244534 | + | 0.00525179i | ||||
\(853\) | −30.3259 | − | 5.34727i | −1.03834 | − | 0.183087i | −0.371611 | − | 0.928389i | \(-0.621194\pi\) |
−0.666728 | + | 0.745301i | \(0.732306\pi\) | |||||||
\(854\) | 12.1560 | − | 4.64946i | 0.415970 | − | 0.159101i | ||||
\(855\) | 43.6905 | − | 0.0494135i | 1.49418 | − | 0.00168991i | ||||
\(856\) | 3.32104 | 0.113511 | ||||||||
\(857\) | −19.0597 | + | 6.93716i | −0.651067 | + | 0.236969i | −0.646375 | − | 0.763020i | \(-0.723716\pi\) |
−0.00469191 | + | 0.999989i | \(0.501493\pi\) | |||||||
\(858\) | 0.865520 | + | 3.22287i | 0.0295483 | + | 0.110027i | ||||
\(859\) | −22.2737 | − | 26.5448i | −0.759969 | − | 0.905696i | 0.237877 | − | 0.971295i | \(-0.423549\pi\) |
−0.997846 | + | 0.0655991i | \(0.979104\pi\) | |||||||
\(860\) | −0.510130 | + | 0.428050i | −0.0173953 | + | 0.0145964i | ||||
\(861\) | 3.56788 | − | 14.2711i | 0.121593 | − | 0.486358i | ||||
\(862\) | −17.6440 | + | 6.42189i | −0.600957 | + | 0.218731i | ||||
\(863\) | −32.8141 | + | 18.9452i | −1.11700 | + | 0.644902i | −0.940634 | − | 0.339422i | \(-0.889769\pi\) |
−0.176369 | + | 0.984324i | \(0.556435\pi\) | |||||||
\(864\) | −8.95521 | + | 12.8357i | −0.304663 | + | 0.436678i | ||||
\(865\) | −10.3508 | + | 17.9281i | −0.351938 | + | 0.609574i | ||||
\(866\) | 35.0096 | + | 29.3765i | 1.18967 | + | 0.998255i | ||||
\(867\) | −0.652210 | − | 1.39661i | −0.0221502 | − | 0.0474312i | ||||
\(868\) | −0.209124 | − | 12.8692i | −0.00709813 | − | 0.436809i | ||||
\(869\) | −1.51862 | + | 0.267773i | −0.0515155 | + | 0.00908357i | ||||
\(870\) | −13.3313 | − | 13.3162i | −0.451972 | − | 0.451461i | ||||
\(871\) | 0.699263 | + | 1.92121i | 0.0236936 | + | 0.0650977i | ||||
\(872\) | −3.80142 | + | 2.19475i | −0.128732 | + | 0.0743237i | ||||
\(873\) | 13.9319 | − | 11.7171i | 0.471524 | − | 0.396565i | ||||
\(874\) | 60.7214 | − | 35.0575i | 2.05393 | − | 1.18584i | ||||
\(875\) | −6.09216 | − | 31.5443i | −0.205953 | − | 1.06639i | ||||
\(876\) | 4.59682 | − | 9.87248i | 0.155312 | − | 0.333560i | ||||
\(877\) | −2.06483 | − | 11.7102i | −0.0697243 | − | 0.395426i | −0.999619 | − | 0.0276005i | \(-0.991213\pi\) |
0.929895 | − | 0.367826i | \(-0.119898\pi\) | |||||||
\(878\) | 13.1215 | − | 11.0102i | 0.442829 | − | 0.371577i | ||||
\(879\) | 14.0944 | + | 6.56263i | 0.475393 | + | 0.221352i | ||||
\(880\) | −3.93040 | − | 10.7987i | −0.132494 | − | 0.364024i | ||||
\(881\) | 19.8758 | + | 34.4258i | 0.669631 | + | 1.15984i | 0.978007 | + | 0.208571i | \(0.0668813\pi\) |
−0.308376 | + | 0.951265i | \(0.599785\pi\) | |||||||
\(882\) | −15.7706 | + | 29.5688i | −0.531022 | + | 0.995635i | ||||
\(883\) | 25.4955 | − | 44.1595i | 0.857992 | − | 1.48609i | −0.0158499 | − | 0.999874i | \(-0.505045\pi\) |
0.873842 | − | 0.486211i | \(-0.161621\pi\) | |||||||
\(884\) | −2.06497 | − | 0.364110i | −0.0694524 | − | 0.0122463i | ||||
\(885\) | −5.02145 | − | 5.01578i | −0.168794 | − | 0.168604i | ||||
\(886\) | 24.0301 | + | 8.74623i | 0.807306 | + | 0.293835i | ||||
\(887\) | 25.2472 | + | 9.18922i | 0.847717 | + | 0.308544i | 0.729109 | − | 0.684398i | \(-0.239935\pi\) |
0.118608 | + | 0.992941i | \(0.462157\pi\) | |||||||
\(888\) | 26.3326 | + | 18.4161i | 0.883663 | + | 0.618003i | ||||
\(889\) | 27.1555 | − | 23.5485i | 0.910765 | − | 0.789792i | ||||
\(890\) | − | 17.0765i | − | 0.572407i | ||||||
\(891\) | −9.85784 | − | 5.66173i | −0.330250 | − | 0.189675i | ||||
\(892\) | 5.19536 | + | 2.99954i | 0.173953 | + | 0.100432i | ||||
\(893\) | 64.6277 | + | 11.3956i | 2.16268 | + | 0.381339i | ||||
\(894\) | −20.3742 | − | 1.77090i | −0.681415 | − | 0.0592278i | ||||
\(895\) | −28.8368 | − | 34.3664i | −0.963909 | − | 1.14874i | ||||
\(896\) | −31.5779 | − | 17.5537i | −1.05494 | − | 0.586428i | ||||
\(897\) | 2.44796 | − | 9.15662i | 0.0817350 | − | 0.305731i | ||||
\(898\) | −4.97138 | + | 28.1941i | −0.165897 | + | 0.940849i | ||||
\(899\) | 15.9881 | + | 27.6922i | 0.533234 | + | 0.923588i | ||||
\(900\) | −1.47251 | + | 1.75891i | −0.0490837 | + | 0.0586302i | ||||
\(901\) | −45.4873 | − | 26.2621i | −1.51540 | − | 0.874917i | ||||
\(902\) | 1.12357 | − | 6.37211i | 0.0374109 | − | 0.212168i | ||||
\(903\) | −2.93509 | − | 0.207127i | −0.0976735 | − | 0.00689275i | ||||
\(904\) | 1.89330 | + | 0.689103i | 0.0629701 | + | 0.0229192i | ||||
\(905\) | −40.4435 | + | 7.13128i | −1.34439 | + | 0.237052i | ||||
\(906\) | −9.79116 | − | 13.9664i | −0.325289 | − | 0.464003i | ||||
\(907\) | −30.9893 | − | 26.0031i | −1.02898 | − | 0.863418i | −0.0382522 | − | 0.999268i | \(-0.512179\pi\) |
−0.990729 | + | 0.135850i | \(0.956623\pi\) | |||||||
\(908\) | 4.11291 | − | 7.12377i | 0.136492 | − | 0.236411i | ||||
\(909\) | −7.09947 | + | 19.5745i | −0.235474 | + | 0.649245i | ||||
\(910\) | −5.94564 | − | 4.82655i | −0.197096 | − | 0.159999i | ||||
\(911\) | 12.3517 | − | 14.7202i | 0.409231 | − | 0.487702i | −0.521581 | − | 0.853202i | \(-0.674658\pi\) |
0.930811 | + | 0.365500i | \(0.119102\pi\) | |||||||
\(912\) | 45.0390 | − | 45.0899i | 1.49139 | − | 1.49308i | ||||
\(913\) | 2.35170 | − | 6.46124i | 0.0778299 | − | 0.213836i | ||||
\(914\) | −36.0253 | + | 6.35223i | −1.19161 | + | 0.210113i | ||||
\(915\) | −8.30273 | − | 5.80664i | −0.274480 | − | 0.191962i | ||||
\(916\) | 4.20062 | + | 11.5411i | 0.138792 | + | 0.381329i | ||||
\(917\) | −18.6326 | − | 15.1256i | −0.615302 | − | 0.499490i | ||||
\(918\) | 27.2304 | − | 19.1359i | 0.898738 | − | 0.631578i | ||||
\(919\) | 1.00540 | + | 1.74140i | 0.0331650 | + | 0.0574435i | 0.882132 | − | 0.471003i | \(-0.156108\pi\) |
−0.848966 | + | 0.528447i | \(0.822775\pi\) | |||||||
\(920\) | −4.37558 | + | 24.8152i | −0.144259 | + | 0.818132i | ||||
\(921\) | 28.5987 | + | 20.0010i | 0.942361 | + | 0.659054i | ||||
\(922\) | −6.55777 | + | 18.0173i | −0.215969 | + | 0.593369i | ||||
\(923\) | −0.0296486 | − | 0.168146i | −0.000975897 | − | 0.00553459i | ||||
\(924\) | −1.28860 | + | 2.88926i | −0.0423917 | + | 0.0950497i | ||||
\(925\) | 8.57238 | + | 7.19308i | 0.281858 | + | 0.236507i | ||||
\(926\) | 1.79045i | 0.0588380i | ||||||||
\(927\) | 38.6552 | − | 0.0437187i | 1.26960 | − | 0.00143591i | ||||
\(928\) | −10.8206 | −0.355204 | ||||||||
\(929\) | −3.28266 | + | 1.19479i | −0.107700 | + | 0.0391998i | −0.395308 | − | 0.918548i | \(-0.629362\pi\) |
0.287608 | + | 0.957748i | \(0.407140\pi\) | |||||||
\(930\) | −38.2271 | + | 26.7991i | −1.25351 | + | 0.878777i | ||||
\(931\) | 33.1766 | − | 42.2539i | 1.08732 | − | 1.38482i | ||||
\(932\) | −5.48490 | + | 15.0696i | −0.179664 | + | 0.493622i | ||||
\(933\) | −4.45921 | − | 2.07630i | −0.145988 | − | 0.0679749i | ||||
\(934\) | −13.5075 | + | 16.0976i | −0.441980 | + | 0.526731i | ||||
\(935\) | 9.62058i | 0.314627i | ||||||||
\(936\) | −0.00752216 | − | 6.65095i | −0.000245869 | − | 0.217393i | ||||
\(937\) | 29.0222 | + | 16.7560i | 0.948114 | + | 0.547394i | 0.892495 | − | 0.451058i | \(-0.148953\pi\) |
0.0556194 | + | 0.998452i | \(0.482287\pi\) | |||||||
\(938\) | −2.95044 | + | 8.53528i | −0.0963353 | + | 0.278687i | ||||
\(939\) | 11.4161 | − | 11.4290i | 0.372549 | − | 0.372971i | ||||
\(940\) | 6.79363 | − | 5.70054i | 0.221584 | − | 0.185931i | ||||
\(941\) | −5.86663 | − | 33.2713i | −0.191247 | − | 1.08461i | −0.917663 | − | 0.397359i | \(-0.869927\pi\) |
0.726416 | − | 0.687255i | \(-0.241184\pi\) | |||||||
\(942\) | 30.0858 | − | 43.0188i | 0.980249 | − | 1.40163i | ||||
\(943\) | −11.8130 | + | 14.0782i | −0.384684 | + | 0.458448i | ||||
\(944\) | −10.3529 | −0.336958 | ||||||||
\(945\) | 25.9437 | − | 2.73969i | 0.843949 | − | 0.0891222i | ||||
\(946\) | −1.29422 | −0.0420788 | ||||||||
\(947\) | 1.00618 | − | 1.19912i | 0.0326965 | − | 0.0389662i | −0.749448 | − | 0.662063i | \(-0.769681\pi\) |
0.782145 | + | 0.623097i | \(0.214126\pi\) | |||||||
\(948\) | −1.15135 | − | 0.100074i | −0.0373941 | − | 0.00325025i | ||||
\(949\) | 1.90943 | + | 10.8289i | 0.0619828 | + | 0.351522i | ||||
\(950\) | 13.1254 | − | 11.0136i | 0.425846 | − | 0.357327i | ||||
\(951\) | 7.92158 | + | 29.4970i | 0.256875 | + | 0.956506i | ||||
\(952\) | 16.1367 | + | 18.6084i | 0.522994 | + | 0.603101i | ||||
\(953\) | −13.8156 | − | 7.97645i | −0.447532 | − | 0.258383i | 0.259255 | − | 0.965809i | \(-0.416523\pi\) |
−0.706787 | + | 0.707426i | \(0.749856\pi\) | |||||||
\(954\) | −21.3603 | + | 58.8941i | −0.691565 | + | 1.90677i | ||||
\(955\) | 41.5728i | 1.34526i | ||||||||
\(956\) | −9.76174 | + | 11.6336i | −0.315717 | + | 0.376257i | ||||
\(957\) | −0.689434 | − | 7.82927i | −0.0222862 | − | 0.253084i | ||||
\(958\) | 12.2187 | − | 33.5707i | 0.394770 | − | 1.08462i | ||||
\(959\) | −46.4532 | − | 25.8227i | −1.50005 | − | 0.833857i | ||||
\(960\) | 1.37878 | + | 15.6575i | 0.0444998 | + | 0.505343i | ||||
\(961\) | 45.3172 | − | 16.4941i | 1.46184 | − | 0.532068i | ||||
\(962\) | 12.2006 | 0.393363 | ||||||||
\(963\) | −0.741128 | + | 4.23112i | −0.0238825 | + | 0.136346i | ||||
\(964\) | − | 0.0410182i | − | 0.00132111i | ||||||
\(965\) | 21.1749 | + | 17.7678i | 0.681643 | + | 0.571966i | ||||
\(966\) | 33.8863 | − | 24.5868i | 1.09027 | − | 0.791066i | ||||
\(967\) | 0.704391 | + | 3.99480i | 0.0226517 | + | 0.128464i | 0.994037 | − | 0.109046i | \(-0.0347797\pi\) |
−0.971385 | + | 0.237510i | \(0.923669\pi\) | |||||||
\(968\) | −7.46047 | + | 20.4975i | −0.239789 | + | 0.658814i | ||||
\(969\) | −48.3422 | + | 22.5756i | −1.55298 | + | 0.725234i | ||||
\(970\) | −3.19083 | + | 18.0961i | −0.102451 | + | 0.581031i | ||||
\(971\) | 20.1944 | + | 34.9777i | 0.648068 | + | 1.12249i | 0.983584 | + | 0.180453i | \(0.0577563\pi\) |
−0.335515 | + | 0.942035i | \(0.608910\pi\) | |||||||
\(972\) | −6.04144 | − | 6.00737i | −0.193779 | − | 0.192686i | ||||
\(973\) | 7.22821 | + | 18.8982i | 0.231726 | + | 0.605847i | ||||
\(974\) | −15.4317 | − | 42.3984i | −0.494465 | − | 1.35853i | ||||
\(975\) | 0.200565 | − | 2.30749i | 0.00642321 | − | 0.0738989i | ||||
\(976\) | −14.5545 | + | 2.56636i | −0.465879 | + | 0.0821471i | ||||
\(977\) | −2.97539 | + | 8.17481i | −0.0951910 | + | 0.261535i | −0.978145 | − | 0.207925i | \(-0.933329\pi\) |
0.882954 | + | 0.469460i | \(0.155551\pi\) | |||||||
\(978\) | −1.01660 | − | 3.78542i | −0.0325071 | − | 0.121044i | ||||
\(979\) | 4.57852 | − | 5.45647i | 0.146330 | − | 0.174389i | ||||
\(980\) | −1.49232 | − | 7.10494i | −0.0476703 | − | 0.226959i | ||||
\(981\) | −1.94786 | − | 5.33294i | −0.0621905 | − | 0.170268i | ||||
\(982\) | 29.5226 | − | 51.1346i | 0.942102 | − | 1.63177i | ||||
\(983\) | −25.8458 | − | 21.6872i | −0.824352 | − | 0.691714i | 0.129635 | − | 0.991562i | \(-0.458620\pi\) |
−0.953987 | + | 0.299848i | \(0.903064\pi\) | |||||||
\(984\) | −5.44342 | + | 11.6907i | −0.173530 | + | 0.372686i | ||||
\(985\) | −4.45381 | + | 0.785328i | −0.141910 | + | 0.0250226i | ||||
\(986\) | 21.6225 | + | 7.86994i | 0.688600 | + | 0.250630i | ||||
\(987\) | 39.0879 | + | 2.75840i | 1.24418 | + | 0.0878009i | ||||
\(988\) | 0.696209 | − | 3.94840i | 0.0221493 | − | 0.125615i | ||||
\(989\) | 3.18346 | + | 1.83797i | 0.101228 | + | 0.0584442i | ||||
\(990\) | 11.2983 | − | 2.00538i | 0.359084 | − | 0.0637351i | ||||
\(991\) | 12.7307 | + | 22.0503i | 0.404405 | + | 0.700450i | 0.994252 | − | 0.107065i | \(-0.0341453\pi\) |
−0.589847 | + | 0.807515i | \(0.700812\pi\) | |||||||
\(992\) | −4.65543 | + | 26.4022i | −0.147810 | + | 0.838272i | ||||
\(993\) | 45.7790 | − | 12.2942i | 1.45275 | − | 0.390144i | ||||
\(994\) | 0.366427 | − | 0.659178i | 0.0116224 | − | 0.0209079i | ||||
\(995\) | 12.5146 | + | 14.9143i | 0.396739 | + | 0.472815i | ||||
\(996\) | 2.95336 | − | 4.22291i | 0.0935807 | − | 0.133808i | ||||
\(997\) | 8.61062 | + | 1.51829i | 0.272701 | + | 0.0480846i | 0.308326 | − | 0.951281i | \(-0.400231\pi\) |
−0.0356252 | + | 0.999365i | \(0.511342\pi\) | |||||||
\(998\) | −22.6731 | − | 13.0903i | −0.717705 | − | 0.414367i | ||||
\(999\) | −29.3392 | + | 29.4389i | −0.928251 | + | 0.931406i |
(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 | 189.2.ba.a.101.17 | ✓ | 132 | |
3.2 | odd | 2 | 567.2.ba.a.143.6 | 132 | |||
7.5 | odd | 6 | 189.2.bd.a.47.6 | yes | 132 | ||
21.5 | even | 6 | 567.2.bd.a.467.17 | 132 | |||
27.4 | even | 9 | 567.2.bd.a.17.17 | 132 | |||
27.23 | odd | 18 | 189.2.bd.a.185.6 | yes | 132 | ||
189.131 | even | 18 | inner | 189.2.ba.a.131.17 | yes | 132 | |
189.166 | odd | 18 | 567.2.ba.a.341.6 | 132 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
189.2.ba.a.101.17 | ✓ | 132 | 1.1 | even | 1 | trivial | |
189.2.ba.a.131.17 | yes | 132 | 189.131 | even | 18 | inner | |
189.2.bd.a.47.6 | yes | 132 | 7.5 | odd | 6 | ||
189.2.bd.a.185.6 | yes | 132 | 27.23 | odd | 18 | ||
567.2.ba.a.143.6 | 132 | 3.2 | odd | 2 | |||
567.2.ba.a.341.6 | 132 | 189.166 | odd | 18 | |||
567.2.bd.a.17.17 | 132 | 27.4 | even | 9 | |||
567.2.bd.a.467.17 | 132 | 21.5 | even | 6 |