Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(37,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 3, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.37");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.be (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: | \(7.42608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 37.10 | ||
Character | \(\chi\) | \(=\) | 930.37 |
Dual form | 930.2.be.a.553.10 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(1\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.707107 | + | 0.707107i | 0.500000 | + | 0.500000i | ||||
\(3\) | 0.258819 | − | 0.965926i | 0.149429 | − | 0.557678i | ||||
\(4\) | 1.00000i | 0.500000i | ||||||||
\(5\) | −1.66175 | + | 1.49620i | −0.743155 | + | 0.669119i | ||||
\(6\) | 0.866025 | − | 0.500000i | 0.353553 | − | 0.204124i | ||||
\(7\) | 1.33377 | − | 4.97771i | 0.504119 | − | 1.88140i | 0.0327484 | − | 0.999464i | \(-0.489574\pi\) |
0.471371 | − | 0.881935i | \(-0.343759\pi\) | |||||||
\(8\) | −0.707107 | + | 0.707107i | −0.250000 | + | 0.250000i | ||||
\(9\) | −0.866025 | − | 0.500000i | −0.288675 | − | 0.166667i | ||||
\(10\) | −2.23300 | − | 0.117061i | −0.706137 | − | 0.0370178i | ||||
\(11\) | −3.19757 | − | 1.84612i | −0.964104 | − | 0.556626i | −0.0666703 | − | 0.997775i | \(-0.521238\pi\) |
−0.897434 | + | 0.441149i | \(0.854571\pi\) | |||||||
\(12\) | 0.965926 | + | 0.258819i | 0.278839 | + | 0.0747146i | ||||
\(13\) | −5.79483 | + | 1.55272i | −1.60720 | + | 0.430647i | −0.947205 | − | 0.320627i | \(-0.896106\pi\) |
−0.659990 | + | 0.751274i | \(0.729440\pi\) | |||||||
\(14\) | 4.46290 | − | 2.57665i | 1.19276 | − | 0.688640i | ||||
\(15\) | 1.01512 | + | 1.99237i | 0.262104 | + | 0.514427i | ||||
\(16\) | −1.00000 | −0.250000 | ||||||||
\(17\) | −1.42357 | − | 0.381444i | −0.345266 | − | 0.0925138i | 0.0820188 | − | 0.996631i | \(-0.473863\pi\) |
−0.427285 | + | 0.904117i | \(0.640530\pi\) | |||||||
\(18\) | −0.258819 | − | 0.965926i | −0.0610042 | − | 0.227671i | ||||
\(19\) | −6.55741 | + | 3.78592i | −1.50437 | + | 0.868551i | −0.504387 | + | 0.863478i | \(0.668281\pi\) |
−0.999987 | + | 0.00507261i | \(0.998385\pi\) | |||||||
\(20\) | −1.49620 | − | 1.66175i | −0.334560 | − | 0.371577i | ||||
\(21\) | −4.46290 | − | 2.57665i | −0.973884 | − | 0.562272i | ||||
\(22\) | −0.955621 | − | 3.56643i | −0.203739 | − | 0.760365i | ||||
\(23\) | 4.00981 | + | 4.00981i | 0.836103 | + | 0.836103i | 0.988343 | − | 0.152240i | \(-0.0486488\pi\) |
−0.152240 | + | 0.988343i | \(0.548649\pi\) | |||||||
\(24\) | 0.500000 | + | 0.866025i | 0.102062 | + | 0.176777i | ||||
\(25\) | 0.522793 | − | 4.97259i | 0.104559 | − | 0.994519i | ||||
\(26\) | −5.19550 | − | 2.99962i | −1.01892 | − | 0.588274i | ||||
\(27\) | −0.707107 | + | 0.707107i | −0.136083 | + | 0.136083i | ||||
\(28\) | 4.97771 | + | 1.33377i | 0.940699 | + | 0.252060i | ||||
\(29\) | 3.10232 | 0.576087 | 0.288044 | − | 0.957617i | \(-0.406995\pi\) | ||||
0.288044 | + | 0.957617i | \(0.406995\pi\) | |||||||
\(30\) | −0.691015 | + | 2.12662i | −0.126162 | + | 0.388265i | ||||
\(31\) | −5.35079 | − | 1.53917i | −0.961030 | − | 0.276444i | ||||
\(32\) | −0.707107 | − | 0.707107i | −0.125000 | − | 0.125000i | ||||
\(33\) | −2.61081 | + | 2.61081i | −0.454483 | + | 0.454483i | ||||
\(34\) | −0.736894 | − | 1.27634i | −0.126376 | − | 0.218890i | ||||
\(35\) | 5.23124 | + | 10.2673i | 0.884242 | + | 1.73549i | ||||
\(36\) | 0.500000 | − | 0.866025i | 0.0833333 | − | 0.144338i | ||||
\(37\) | −4.73855 | − | 1.26969i | −0.779014 | − | 0.208736i | −0.152664 | − | 0.988278i | \(-0.548785\pi\) |
−0.626350 | + | 0.779542i | \(0.715452\pi\) | |||||||
\(38\) | −7.31384 | − | 1.95974i | −1.18646 | − | 0.317912i | ||||
\(39\) | 5.99925i | 0.960648i | ||||||||
\(40\) | 0.117061 | − | 2.23300i | 0.0185089 | − | 0.353069i | ||||
\(41\) | 5.81118 | − | 10.0653i | 0.907554 | − | 1.57193i | 0.0901029 | − | 0.995932i | \(-0.471280\pi\) |
0.817451 | − | 0.575998i | \(-0.195386\pi\) | |||||||
\(42\) | −1.33377 | − | 4.97771i | −0.205806 | − | 0.768078i | ||||
\(43\) | −1.29249 | + | 4.82363i | −0.197102 | + | 0.735596i | 0.794610 | + | 0.607120i | \(0.207675\pi\) |
−0.991713 | + | 0.128476i | \(0.958991\pi\) | |||||||
\(44\) | 1.84612 | − | 3.19757i | 0.278313 | − | 0.482052i | ||||
\(45\) | 2.18721 | − | 0.464871i | 0.326050 | − | 0.0692990i | ||||
\(46\) | 5.67073i | 0.836103i | ||||||||
\(47\) | −1.03668 | − | 1.03668i | −0.151216 | − | 0.151216i | 0.627445 | − | 0.778661i | \(-0.284101\pi\) |
−0.778661 | + | 0.627445i | \(0.784101\pi\) | |||||||
\(48\) | −0.258819 | + | 0.965926i | −0.0373573 | + | 0.139419i | ||||
\(49\) | −16.9365 | − | 9.77829i | −2.41950 | − | 1.39690i | ||||
\(50\) | 3.88583 | − | 3.14648i | 0.549539 | − | 0.444980i | ||||
\(51\) | −0.736894 | + | 1.27634i | −0.103186 | + | 0.178723i | ||||
\(52\) | −1.55272 | − | 5.79483i | −0.215323 | − | 0.803598i | ||||
\(53\) | 6.85037 | − | 1.83555i | 0.940971 | − | 0.252132i | 0.244444 | − | 0.969663i | \(-0.421394\pi\) |
0.696527 | + | 0.717531i | \(0.254728\pi\) | |||||||
\(54\) | −1.00000 | −0.136083 | ||||||||
\(55\) | 8.07570 | − | 1.71642i | 1.08893 | − | 0.231441i | ||||
\(56\) | 2.57665 | + | 4.46290i | 0.344320 | + | 0.596380i | ||||
\(57\) | 1.95974 | + | 7.31384i | 0.259574 | + | 0.968742i | ||||
\(58\) | 2.19367 | + | 2.19367i | 0.288044 | + | 0.288044i | ||||
\(59\) | 5.40302 | − | 3.11944i | 0.703414 | − | 0.406116i | −0.105204 | − | 0.994451i | \(-0.533550\pi\) |
0.808618 | + | 0.588335i | \(0.200216\pi\) | |||||||
\(60\) | −1.99237 | + | 1.01512i | −0.257213 | + | 0.131052i | ||||
\(61\) | − | 8.33905i | − | 1.06771i | −0.845577 | − | 0.533853i | \(-0.820744\pi\) | ||
0.845577 | − | 0.533853i | \(-0.179256\pi\) | |||||||
\(62\) | −2.69522 | − | 4.87194i | −0.342293 | − | 0.618737i | ||||
\(63\) | −3.64394 | + | 3.64394i | −0.459093 | + | 0.459093i | ||||
\(64\) | − | 1.00000i | − | 0.125000i | ||||||
\(65\) | 7.30635 | − | 11.2504i | 0.906241 | − | 1.39544i | ||||
\(66\) | −3.69224 | −0.454483 | ||||||||
\(67\) | 7.51566 | − | 2.01382i | 0.918184 | − | 0.246027i | 0.231375 | − | 0.972865i | \(-0.425678\pi\) |
0.686809 | + | 0.726838i | \(0.259011\pi\) | |||||||
\(68\) | 0.381444 | − | 1.42357i | 0.0462569 | − | 0.172633i | ||||
\(69\) | 4.91099 | − | 2.83536i | 0.591214 | − | 0.341338i | ||||
\(70\) | −3.56101 | + | 10.9591i | −0.425623 | + | 1.30986i | ||||
\(71\) | −2.17115 | + | 3.76054i | −0.257668 | + | 0.446293i | −0.965617 | − | 0.259970i | \(-0.916287\pi\) |
0.707949 | + | 0.706264i | \(0.249621\pi\) | |||||||
\(72\) | 0.965926 | − | 0.258819i | 0.113835 | − | 0.0305021i | ||||
\(73\) | 9.85909 | − | 2.64174i | 1.15392 | − | 0.309192i | 0.369385 | − | 0.929277i | \(-0.379568\pi\) |
0.784535 | + | 0.620085i | \(0.212902\pi\) | |||||||
\(74\) | −2.45286 | − | 4.24847i | −0.285139 | − | 0.493875i | ||||
\(75\) | −4.66785 | − | 1.79198i | −0.538997 | − | 0.206920i | ||||
\(76\) | −3.78592 | − | 6.55741i | −0.434275 | − | 0.752187i | ||||
\(77\) | −13.4543 | + | 13.4543i | −1.53326 | + | 1.53326i | ||||
\(78\) | −4.24211 | + | 4.24211i | −0.480324 | + | 0.480324i | ||||
\(79\) | 1.61367 | + | 2.79495i | 0.181552 | + | 0.314457i | 0.942409 | − | 0.334462i | \(-0.108555\pi\) |
−0.760857 | + | 0.648919i | \(0.775221\pi\) | |||||||
\(80\) | 1.66175 | − | 1.49620i | 0.185789 | − | 0.167280i | ||||
\(81\) | 0.500000 | + | 0.866025i | 0.0555556 | + | 0.0962250i | ||||
\(82\) | 11.2263 | − | 3.00809i | 1.23974 | − | 0.332188i | ||||
\(83\) | −8.94413 | + | 2.39657i | −0.981746 | + | 0.263058i | −0.713780 | − | 0.700370i | \(-0.753018\pi\) |
−0.267966 | + | 0.963428i | \(0.586352\pi\) | |||||||
\(84\) | 2.57665 | − | 4.46290i | 0.281136 | − | 0.486942i | ||||
\(85\) | 2.93632 | − | 1.49608i | 0.318489 | − | 0.162272i | ||||
\(86\) | −4.32475 | + | 2.49689i | −0.466349 | + | 0.269247i | ||||
\(87\) | 0.802941 | − | 2.99661i | 0.0860843 | − | 0.321271i | ||||
\(88\) | 3.56643 | − | 0.955621i | 0.380182 | − | 0.101870i | ||||
\(89\) | −11.3115 | −1.19902 | −0.599508 | − | 0.800369i | \(-0.704637\pi\) | ||||
−0.599508 | + | 0.800369i | \(0.704637\pi\) | |||||||
\(90\) | 1.87531 | + | 1.21788i | 0.197675 | + | 0.128376i | ||||
\(91\) | 30.9160i | 3.24087i | ||||||||
\(92\) | −4.00981 | + | 4.00981i | −0.418052 | + | 0.418052i | ||||
\(93\) | −2.87161 | + | 4.77010i | −0.297772 | + | 0.494636i | ||||
\(94\) | − | 1.46609i | − | 0.151216i | ||||||
\(95\) | 5.23226 | − | 16.1024i | 0.536819 | − | 1.65207i | ||||
\(96\) | −0.866025 | + | 0.500000i | −0.0883883 | + | 0.0510310i | ||||
\(97\) | −4.56736 | − | 4.56736i | −0.463745 | − | 0.463745i | 0.436136 | − | 0.899881i | \(-0.356347\pi\) |
−0.899881 | + | 0.436136i | \(0.856347\pi\) | |||||||
\(98\) | −5.06162 | − | 18.8902i | −0.511300 | − | 1.90820i | ||||
\(99\) | 1.84612 | + | 3.19757i | 0.185542 | + | 0.321368i | ||||
\(100\) | 4.97259 | + | 0.522793i | 0.497259 | + | 0.0522793i | ||||
\(101\) | −0.860772 | −0.0856500 | −0.0428250 | − | 0.999083i | \(-0.513636\pi\) | ||||
−0.0428250 | + | 0.999083i | \(0.513636\pi\) | |||||||
\(102\) | −1.42357 | + | 0.381444i | −0.140954 | + | 0.0377686i | ||||
\(103\) | −1.92409 | − | 7.18081i | −0.189586 | − | 0.707546i | −0.993602 | − | 0.112938i | \(-0.963974\pi\) |
0.804016 | − | 0.594608i | \(-0.202693\pi\) | |||||||
\(104\) | 2.99962 | − | 5.19550i | 0.294137 | − | 0.509461i | ||||
\(105\) | 11.2714 | − | 2.39563i | 1.09997 | − | 0.233789i | ||||
\(106\) | 6.14188 | + | 3.54601i | 0.596552 | + | 0.344419i | ||||
\(107\) | −2.40490 | + | 8.97521i | −0.232491 | + | 0.867666i | 0.746774 | + | 0.665078i | \(0.231602\pi\) |
−0.979264 | + | 0.202588i | \(0.935065\pi\) | |||||||
\(108\) | −0.707107 | − | 0.707107i | −0.0680414 | − | 0.0680414i | ||||
\(109\) | − | 0.693028i | − | 0.0663800i | −0.999449 | − | 0.0331900i | \(-0.989433\pi\) | ||
0.999449 | − | 0.0331900i | \(-0.0105667\pi\) | |||||||
\(110\) | 6.92407 | + | 4.49670i | 0.660185 | + | 0.428743i | ||||
\(111\) | −2.45286 | + | 4.24847i | −0.232815 | + | 0.403247i | ||||
\(112\) | −1.33377 | + | 4.97771i | −0.126030 | + | 0.470350i | ||||
\(113\) | 0.853440 | + | 3.18508i | 0.0802849 | + | 0.299627i | 0.994380 | − | 0.105873i | \(-0.0337638\pi\) |
−0.914095 | + | 0.405501i | \(0.867097\pi\) | |||||||
\(114\) | −3.78592 | + | 6.55741i | −0.354584 | + | 0.614158i | ||||
\(115\) | −12.6627 | − | 0.663819i | −1.18081 | − | 0.0619014i | ||||
\(116\) | 3.10232i | 0.288044i | ||||||||
\(117\) | 5.79483 | + | 1.55272i | 0.535732 | + | 0.143549i | ||||
\(118\) | 6.02629 | + | 1.61474i | 0.554765 | + | 0.148649i | ||||
\(119\) | −3.79744 | + | 6.57736i | −0.348111 | + | 0.602945i | ||||
\(120\) | −2.12662 | − | 0.691015i | −0.194133 | − | 0.0630808i | ||||
\(121\) | 1.31631 | + | 2.27991i | 0.119664 | + | 0.207265i | ||||
\(122\) | 5.89660 | − | 5.89660i | 0.533853 | − | 0.533853i | ||||
\(123\) | −8.21825 | − | 8.21825i | −0.741015 | − | 0.741015i | ||||
\(124\) | 1.53917 | − | 5.35079i | 0.138222 | − | 0.480515i | ||||
\(125\) | 6.57123 | + | 9.04538i | 0.587748 | + | 0.809044i | ||||
\(126\) | −5.15331 | −0.459093 | ||||||||
\(127\) | −1.96344 | − | 0.526103i | −0.174227 | − | 0.0466841i | 0.170651 | − | 0.985332i | \(-0.445413\pi\) |
−0.344878 | + | 0.938648i | \(0.612080\pi\) | |||||||
\(128\) | 0.707107 | − | 0.707107i | 0.0625000 | − | 0.0625000i | ||||
\(129\) | 4.32475 | + | 2.49689i | 0.380773 | + | 0.219839i | ||||
\(130\) | 13.1216 | − | 2.78888i | 1.15084 | − | 0.244601i | ||||
\(131\) | 1.47402 | + | 2.55307i | 0.128785 | + | 0.223063i | 0.923206 | − | 0.384305i | \(-0.125559\pi\) |
−0.794421 | + | 0.607368i | \(0.792226\pi\) | |||||||
\(132\) | −2.61081 | − | 2.61081i | −0.227241 | − | 0.227241i | ||||
\(133\) | 10.0991 | + | 37.6905i | 0.875706 | + | 3.26818i | ||||
\(134\) | 6.73836 | + | 3.89039i | 0.582105 | + | 0.336079i | ||||
\(135\) | 0.117061 | − | 2.23300i | 0.0100750 | − | 0.192186i | ||||
\(136\) | 1.27634 | − | 0.736894i | 0.109445 | − | 0.0631881i | ||||
\(137\) | 1.50243 | + | 5.60714i | 0.128361 | + | 0.479051i | 0.999937 | − | 0.0112099i | \(-0.00356828\pi\) |
−0.871576 | + | 0.490261i | \(0.836902\pi\) | |||||||
\(138\) | 5.47750 | + | 1.46769i | 0.466276 | + | 0.124938i | ||||
\(139\) | 18.8224 | 1.59650 | 0.798249 | − | 0.602327i | \(-0.205760\pi\) | ||||
0.798249 | + | 0.602327i | \(0.205760\pi\) | |||||||
\(140\) | −10.2673 | + | 5.23124i | −0.867743 | + | 0.442121i | ||||
\(141\) | −1.26967 | + | 0.733045i | −0.106926 | + | 0.0617335i | ||||
\(142\) | −4.19433 | + | 1.12387i | −0.351981 | + | 0.0943129i | ||||
\(143\) | 21.3959 | + | 5.73301i | 1.78921 | + | 0.479418i | ||||
\(144\) | 0.866025 | + | 0.500000i | 0.0721688 | + | 0.0416667i | ||||
\(145\) | −5.15527 | + | 4.64169i | −0.428122 | + | 0.385471i | ||||
\(146\) | 8.83942 | + | 5.10344i | 0.731556 | + | 0.422364i | ||||
\(147\) | −13.8286 | + | 13.8286i | −1.14056 | + | 1.14056i | ||||
\(148\) | 1.26969 | − | 4.73855i | 0.104368 | − | 0.389507i | ||||
\(149\) | −0.444176 | + | 0.256445i | −0.0363883 | + | 0.0210088i | −0.518084 | − | 0.855330i | \(-0.673354\pi\) |
0.481695 | + | 0.876339i | \(0.340021\pi\) | |||||||
\(150\) | −2.03354 | − | 4.56779i | −0.166038 | − | 0.372958i | ||||
\(151\) | − | 6.61373i | − | 0.538218i | −0.963110 | − | 0.269109i | \(-0.913271\pi\) | ||
0.963110 | − | 0.269109i | \(-0.0867292\pi\) | |||||||
\(152\) | 1.95974 | − | 7.31384i | 0.158956 | − | 0.593231i | ||||
\(153\) | 1.04212 | + | 1.04212i | 0.0842508 | + | 0.0842508i | ||||
\(154\) | −19.0272 | −1.53326 | ||||||||
\(155\) | 11.1946 | − | 5.44812i | 0.899168 | − | 0.437603i | ||||
\(156\) | −5.99925 | −0.480324 | ||||||||
\(157\) | −5.25938 | − | 5.25938i | −0.419744 | − | 0.419744i | 0.465372 | − | 0.885115i | \(-0.345921\pi\) |
−0.885115 | + | 0.465372i | \(0.845921\pi\) | |||||||
\(158\) | −0.835295 | + | 3.11736i | −0.0664525 | + | 0.248004i | ||||
\(159\) | − | 7.09203i | − | 0.562434i | ||||||
\(160\) | 2.23300 | + | 0.117061i | 0.176534 | + | 0.00925446i | ||||
\(161\) | 25.3079 | − | 14.6115i | 1.99454 | − | 1.15155i | ||||
\(162\) | −0.258819 | + | 0.965926i | −0.0203347 | + | 0.0758903i | ||||
\(163\) | −11.4002 | + | 11.4002i | −0.892936 | + | 0.892936i | −0.994798 | − | 0.101863i | \(-0.967520\pi\) |
0.101863 | + | 0.994798i | \(0.467520\pi\) | |||||||
\(164\) | 10.0653 | + | 5.81118i | 0.785965 | + | 0.453777i | ||||
\(165\) | 0.432216 | − | 8.24477i | 0.0336479 | − | 0.641855i | ||||
\(166\) | −8.01909 | − | 4.62982i | −0.622402 | − | 0.359344i | ||||
\(167\) | −3.37272 | − | 0.903719i | −0.260989 | − | 0.0699319i | 0.125952 | − | 0.992036i | \(-0.459802\pi\) |
−0.386941 | + | 0.922105i | \(0.626468\pi\) | |||||||
\(168\) | 4.97771 | − | 1.33377i | 0.384039 | − | 0.102903i | ||||
\(169\) | 19.9107 | − | 11.4955i | 1.53160 | − | 0.884267i | ||||
\(170\) | 3.13418 | + | 1.01841i | 0.240381 | + | 0.0781084i | ||||
\(171\) | 7.57185 | 0.579034 | ||||||||
\(172\) | −4.82363 | − | 1.29249i | −0.367798 | − | 0.0985512i | ||||
\(173\) | −2.31871 | − | 8.65355i | −0.176288 | − | 0.657917i | −0.996329 | − | 0.0856111i | \(-0.972716\pi\) |
0.820040 | − | 0.572306i | \(-0.193951\pi\) | |||||||
\(174\) | 2.68669 | − | 1.55116i | 0.203678 | − | 0.117593i | ||||
\(175\) | −24.0549 | − | 9.23463i | −1.81838 | − | 0.698073i | ||||
\(176\) | 3.19757 | + | 1.84612i | 0.241026 | + | 0.139156i | ||||
\(177\) | −1.61474 | − | 6.02629i | −0.121371 | − | 0.452964i | ||||
\(178\) | −7.99844 | − | 7.99844i | −0.599508 | − | 0.599508i | ||||
\(179\) | 0.0616512 | + | 0.106783i | 0.00460803 | + | 0.00798134i | 0.868320 | − | 0.496004i | \(-0.165200\pi\) |
−0.863712 | + | 0.503985i | \(0.831867\pi\) | |||||||
\(180\) | 0.464871 | + | 2.18721i | 0.0346495 | + | 0.163025i | ||||
\(181\) | −0.630553 | − | 0.364050i | −0.0468686 | − | 0.0270596i | 0.476383 | − | 0.879238i | \(-0.341948\pi\) |
−0.523251 | + | 0.852178i | \(0.675281\pi\) | |||||||
\(182\) | −21.8609 | + | 21.8609i | −1.62044 | + | 1.62044i | ||||
\(183\) | −8.05491 | − | 2.15831i | −0.595436 | − | 0.159547i | ||||
\(184\) | −5.67073 | −0.418052 | ||||||||
\(185\) | 9.77398 | − | 4.97990i | 0.718597 | − | 0.366130i | ||||
\(186\) | −5.40351 | + | 1.34243i | −0.396204 | + | 0.0984319i | ||||
\(187\) | 3.84777 | + | 3.84777i | 0.281377 | + | 0.281377i | ||||
\(188\) | 1.03668 | − | 1.03668i | 0.0756078 | − | 0.0756078i | ||||
\(189\) | 2.57665 | + | 4.46290i | 0.187424 | + | 0.324628i | ||||
\(190\) | 15.0859 | − | 7.68636i | 1.09445 | − | 0.557627i | ||||
\(191\) | 8.22429 | − | 14.2449i | 0.595089 | − | 1.03072i | −0.398446 | − | 0.917192i | \(-0.630450\pi\) |
0.993534 | − | 0.113532i | \(-0.0362164\pi\) | |||||||
\(192\) | −0.965926 | − | 0.258819i | −0.0697097 | − | 0.0186787i | ||||
\(193\) | −12.4183 | − | 3.32748i | −0.893891 | − | 0.239517i | −0.217500 | − | 0.976060i | \(-0.569790\pi\) |
−0.676391 | + | 0.736543i | \(0.736457\pi\) | |||||||
\(194\) | − | 6.45922i | − | 0.463745i | ||||||
\(195\) | −8.97605 | − | 9.96922i | −0.642788 | − | 0.713910i | ||||
\(196\) | 9.77829 | − | 16.9365i | 0.698449 | − | 1.20975i | ||||
\(197\) | 0.879184 | + | 3.28116i | 0.0626393 | + | 0.233773i | 0.990147 | − | 0.140031i | \(-0.0447201\pi\) |
−0.927508 | + | 0.373804i | \(0.878053\pi\) | |||||||
\(198\) | −0.955621 | + | 3.56643i | −0.0679131 | + | 0.253455i | ||||
\(199\) | −1.53922 | + | 2.66602i | −0.109113 | + | 0.188989i | −0.915411 | − | 0.402520i | \(-0.868134\pi\) |
0.806298 | + | 0.591509i | \(0.201468\pi\) | |||||||
\(200\) | 3.14648 | + | 3.88583i | 0.222490 | + | 0.274769i | ||||
\(201\) | − | 7.78079i | − | 0.548814i | ||||||
\(202\) | −0.608658 | − | 0.608658i | −0.0428250 | − | 0.0428250i | ||||
\(203\) | 4.13780 | − | 15.4425i | 0.290417 | − | 1.08385i | ||||
\(204\) | −1.27634 | − | 0.736894i | −0.0893615 | − | 0.0515929i | ||||
\(205\) | 5.40291 | + | 25.4206i | 0.377355 | + | 1.77545i | ||||
\(206\) | 3.71706 | − | 6.43814i | 0.258980 | − | 0.448566i | ||||
\(207\) | −1.46769 | − | 5.47750i | −0.102012 | − | 0.380713i | ||||
\(208\) | 5.79483 | − | 1.55272i | 0.401799 | − | 0.107662i | ||||
\(209\) | 27.9571 | 1.93383 | ||||||||
\(210\) | 9.66403 | + | 6.27610i | 0.666881 | + | 0.433092i | ||||
\(211\) | −3.82823 | − | 6.63068i | −0.263546 | − | 0.456475i | 0.703636 | − | 0.710561i | \(-0.251559\pi\) |
−0.967182 | + | 0.254086i | \(0.918225\pi\) | |||||||
\(212\) | 1.83555 | + | 6.85037i | 0.126066 | + | 0.470486i | ||||
\(213\) | 3.07046 | + | 3.07046i | 0.210385 | + | 0.210385i | ||||
\(214\) | −8.04695 | + | 4.64591i | −0.550079 | + | 0.317588i | ||||
\(215\) | −5.06931 | − | 9.94945i | −0.345724 | − | 0.678547i | ||||
\(216\) | − | 1.00000i | − | 0.0680414i | ||||||
\(217\) | −14.7983 | + | 24.5818i | −1.00457 | + | 1.66872i | ||||
\(218\) | 0.490045 | − | 0.490045i | 0.0331900 | − | 0.0331900i | ||||
\(219\) | − | 10.2069i | − | 0.689717i | ||||||
\(220\) | 1.71642 | + | 8.07570i | 0.115721 | + | 0.544464i | ||||
\(221\) | 8.84161 | 0.594751 | ||||||||
\(222\) | −4.73855 | + | 1.26969i | −0.318031 | + | 0.0852161i | ||||
\(223\) | 4.33389 | − | 16.1743i | 0.290219 | − | 1.08311i | −0.654722 | − | 0.755870i | \(-0.727214\pi\) |
0.944941 | − | 0.327242i | \(-0.106119\pi\) | |||||||
\(224\) | −4.46290 | + | 2.57665i | −0.298190 | + | 0.172160i | ||||
\(225\) | −2.93905 | + | 4.04500i | −0.195937 | + | 0.269666i | ||||
\(226\) | −1.64872 | + | 2.85567i | −0.109671 | + | 0.189956i | ||||
\(227\) | −1.33458 | + | 0.357599i | −0.0885789 | + | 0.0237347i | −0.302836 | − | 0.953043i | \(-0.597934\pi\) |
0.214257 | + | 0.976777i | \(0.431267\pi\) | |||||||
\(228\) | −7.31384 | + | 1.95974i | −0.484371 | + | 0.129787i | ||||
\(229\) | −1.99964 | − | 3.46347i | −0.132140 | − | 0.228873i | 0.792361 | − | 0.610052i | \(-0.208851\pi\) |
−0.924501 | + | 0.381179i | \(0.875518\pi\) | |||||||
\(230\) | −8.48452 | − | 9.42330i | −0.559453 | − | 0.621354i | ||||
\(231\) | 9.51362 | + | 16.4781i | 0.625950 | + | 1.08418i | ||||
\(232\) | −2.19367 | + | 2.19367i | −0.144022 | + | 0.144022i | ||||
\(233\) | −19.1490 | + | 19.1490i | −1.25449 | + | 1.25449i | −0.300806 | + | 0.953685i | \(0.597256\pi\) |
−0.953685 | + | 0.300806i | \(0.902744\pi\) | |||||||
\(234\) | 2.99962 | + | 5.19550i | 0.196091 | + | 0.339640i | ||||
\(235\) | 3.27378 | + | 0.171621i | 0.213558 | + | 0.0111953i | ||||
\(236\) | 3.11944 | + | 5.40302i | 0.203058 | + | 0.351707i | ||||
\(237\) | 3.11736 | − | 0.835295i | 0.202495 | − | 0.0542583i | ||||
\(238\) | −7.33609 | + | 1.96570i | −0.475528 | + | 0.127417i | ||||
\(239\) | −9.75887 | + | 16.9029i | −0.631249 | + | 1.09336i | 0.356048 | + | 0.934468i | \(0.384124\pi\) |
−0.987297 | + | 0.158888i | \(0.949209\pi\) | |||||||
\(240\) | −1.01512 | − | 1.99237i | −0.0655259 | − | 0.128607i | ||||
\(241\) | −8.90971 | + | 5.14403i | −0.573925 | + | 0.331356i | −0.758715 | − | 0.651422i | \(-0.774173\pi\) |
0.184790 | + | 0.982778i | \(0.440839\pi\) | |||||||
\(242\) | −0.681371 | + | 2.54291i | −0.0438002 | + | 0.163465i | ||||
\(243\) | 0.965926 | − | 0.258819i | 0.0619642 | − | 0.0166032i | ||||
\(244\) | 8.33905 | 0.533853 | ||||||||
\(245\) | 42.7744 | − | 9.09130i | 2.73276 | − | 0.580822i | ||||
\(246\) | − | 11.6224i | − | 0.741015i | ||||||
\(247\) | 32.1206 | − | 32.1206i | 2.04378 | − | 2.04378i | ||||
\(248\) | 4.87194 | − | 2.69522i | 0.309368 | − | 0.171147i | ||||
\(249\) | 9.25965i | 0.586806i | ||||||||
\(250\) | −1.74949 | + | 11.0426i | −0.110648 | + | 0.698396i | ||||
\(251\) | 12.4573 | − | 7.19220i | 0.786296 | − | 0.453968i | −0.0523613 | − | 0.998628i | \(-0.516675\pi\) |
0.838657 | + | 0.544660i | \(0.183341\pi\) | |||||||
\(252\) | −3.64394 | − | 3.64394i | −0.229547 | − | 0.229547i | ||||
\(253\) | −5.41907 | − | 20.2242i | −0.340694 | − | 1.27149i | ||||
\(254\) | −1.01635 | − | 1.76037i | −0.0637716 | − | 0.110456i | ||||
\(255\) | −0.685122 | − | 3.22348i | −0.0429040 | − | 0.201862i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | −7.17169 | + | 1.92165i | −0.447358 | + | 0.119869i | −0.475463 | − | 0.879736i | \(-0.657719\pi\) |
0.0281050 | + | 0.999605i | \(0.491053\pi\) | |||||||
\(258\) | 1.29249 | + | 4.82363i | 0.0804667 | + | 0.300306i | ||||
\(259\) | −12.6403 | + | 21.8937i | −0.785432 | + | 1.36041i | ||||
\(260\) | 11.2504 | + | 7.30635i | 0.697721 | + | 0.453121i | ||||
\(261\) | −2.68669 | − | 1.55116i | −0.166302 | − | 0.0960145i | ||||
\(262\) | −0.763006 | + | 2.84758i | −0.0471387 | + | 0.175924i | ||||
\(263\) | 19.4862 | + | 19.4862i | 1.20157 | + | 1.20157i | 0.973688 | + | 0.227885i | \(0.0731810\pi\) |
0.227885 | + | 0.973688i | \(0.426819\pi\) | |||||||
\(264\) | − | 3.69224i | − | 0.227241i | ||||||
\(265\) | −8.63723 | + | 13.2997i | −0.530581 | + | 0.816995i | ||||
\(266\) | −19.5100 | + | 33.7924i | −1.19624 | + | 2.07194i | ||||
\(267\) | −2.92763 | + | 10.9261i | −0.179168 | + | 0.668665i | ||||
\(268\) | 2.01382 | + | 7.51566i | 0.123013 | + | 0.459092i | ||||
\(269\) | −6.60500 | + | 11.4402i | −0.402714 | + | 0.697521i | −0.994052 | − | 0.108902i | \(-0.965266\pi\) |
0.591338 | + | 0.806424i | \(0.298600\pi\) | |||||||
\(270\) | 1.66175 | − | 1.49620i | 0.101131 | − | 0.0910556i | ||||
\(271\) | − | 5.34530i | − | 0.324704i | −0.986733 | − | 0.162352i | \(-0.948092\pi\) | ||
0.986733 | − | 0.162352i | \(-0.0519080\pi\) | |||||||
\(272\) | 1.42357 | + | 0.381444i | 0.0863166 | + | 0.0231285i | ||||
\(273\) | 29.8625 | + | 8.00164i | 1.80736 | + | 0.484281i | ||||
\(274\) | −2.90247 | + | 5.02723i | −0.175345 | + | 0.303706i | ||||
\(275\) | −10.8517 | + | 14.9351i | −0.654380 | + | 0.900619i | ||||
\(276\) | 2.83536 | + | 4.91099i | 0.170669 | + | 0.295607i | ||||
\(277\) | 3.55245 | − | 3.55245i | 0.213446 | − | 0.213446i | −0.592283 | − | 0.805730i | \(-0.701773\pi\) |
0.805730 | + | 0.592283i | \(0.201773\pi\) | |||||||
\(278\) | 13.3095 | + | 13.3095i | 0.798249 | + | 0.798249i | ||||
\(279\) | 3.86433 | + | 4.00836i | 0.231352 | + | 0.239974i | ||||
\(280\) | −10.9591 | − | 3.56101i | −0.654932 | − | 0.212811i | ||||
\(281\) | 12.9904 | 0.774944 | 0.387472 | − | 0.921881i | \(-0.373348\pi\) | ||||
0.387472 | + | 0.921881i | \(0.373348\pi\) | |||||||
\(282\) | −1.41613 | − | 0.379452i | −0.0843295 | − | 0.0225960i | ||||
\(283\) | −19.4727 | + | 19.4727i | −1.15753 | + | 1.15753i | −0.172525 | + | 0.985005i | \(0.555193\pi\) |
−0.985005 | + | 0.172525i | \(0.944807\pi\) | |||||||
\(284\) | −3.76054 | − | 2.17115i | −0.223147 | − | 0.128834i | ||||
\(285\) | −14.1995 | − | 9.22159i | −0.841108 | − | 0.546240i | ||||
\(286\) | 11.0753 | + | 19.1830i | 0.654897 | + | 1.13432i | ||||
\(287\) | −42.3512 | − | 42.3512i | −2.49991 | − | 2.49991i | ||||
\(288\) | 0.258819 | + | 0.965926i | 0.0152511 | + | 0.0569177i | ||||
\(289\) | −12.8414 | − | 7.41398i | −0.755375 | − | 0.436116i | ||||
\(290\) | −6.92749 | − | 0.363160i | −0.406796 | − | 0.0213255i | ||||
\(291\) | −5.59385 | + | 3.22961i | −0.327917 | + | 0.189323i | ||||
\(292\) | 2.64174 | + | 9.85909i | 0.154596 | + | 0.576960i | ||||
\(293\) | −29.3947 | − | 7.87629i | −1.71726 | − | 0.460137i | −0.740072 | − | 0.672528i | \(-0.765208\pi\) |
−0.977185 | + | 0.212391i | \(0.931875\pi\) | |||||||
\(294\) | −19.5566 | −1.14056 | ||||||||
\(295\) | −4.31116 | + | 13.2677i | −0.251005 | + | 0.772475i | ||||
\(296\) | 4.24847 | − | 2.45286i | 0.246937 | − | 0.142569i | ||||
\(297\) | 3.56643 | − | 0.955621i | 0.206945 | − | 0.0554508i | ||||
\(298\) | −0.495414 | − | 0.132746i | −0.0286986 | − | 0.00768976i | ||||
\(299\) | −29.4623 | − | 17.0100i | −1.70385 | − | 0.983716i | ||||
\(300\) | 1.79198 | − | 4.66785i | 0.103460 | − | 0.269498i | ||||
\(301\) | 22.2867 | + | 12.8673i | 1.28459 | + | 0.741656i | ||||
\(302\) | 4.67661 | − | 4.67661i | 0.269109 | − | 0.269109i | ||||
\(303\) | −0.222784 | + | 0.831442i | −0.0127986 | + | 0.0477651i | ||||
\(304\) | 6.55741 | − | 3.78592i | 0.376093 | − | 0.217138i | ||||
\(305\) | 12.4769 | + | 13.8574i | 0.714423 | + | 0.793471i | ||||
\(306\) | 1.47379i | 0.0842508i | ||||||||
\(307\) | −1.00532 | + | 3.75189i | −0.0573764 | + | 0.214132i | −0.988662 | − | 0.150158i | \(-0.952022\pi\) |
0.931286 | + | 0.364290i | \(0.118688\pi\) | |||||||
\(308\) | −13.4543 | − | 13.4543i | −0.766629 | − | 0.766629i | ||||
\(309\) | −7.43412 | −0.422912 | ||||||||
\(310\) | 11.7681 | + | 4.06334i | 0.668386 | + | 0.230782i | ||||
\(311\) | −10.5116 | −0.596059 | −0.298030 | − | 0.954557i | \(-0.596329\pi\) | ||||
−0.298030 | + | 0.954557i | \(0.596329\pi\) | |||||||
\(312\) | −4.24211 | − | 4.24211i | −0.240162 | − | 0.240162i | ||||
\(313\) | −0.726697 | + | 2.71207i | −0.0410753 | + | 0.153295i | −0.983418 | − | 0.181355i | \(-0.941952\pi\) |
0.942342 | + | 0.334651i | \(0.108618\pi\) | |||||||
\(314\) | − | 7.43788i | − | 0.419744i | ||||||
\(315\) | 0.603249 | − | 11.5073i | 0.0339893 | − | 0.648365i | ||||
\(316\) | −2.79495 | + | 1.61367i | −0.157228 | + | 0.0907758i | ||||
\(317\) | 6.60370 | − | 24.6453i | 0.370901 | − | 1.38422i | −0.488342 | − | 0.872652i | \(-0.662398\pi\) |
0.859243 | − | 0.511568i | \(-0.170935\pi\) | |||||||
\(318\) | 5.01482 | − | 5.01482i | 0.281217 | − | 0.281217i | ||||
\(319\) | −9.91990 | − | 5.72726i | −0.555408 | − | 0.320665i | ||||
\(320\) | 1.49620 | + | 1.66175i | 0.0836399 | + | 0.0928944i | ||||
\(321\) | 8.04695 | + | 4.64591i | 0.449137 | + | 0.259309i | ||||
\(322\) | 28.2273 | + | 7.56347i | 1.57304 | + | 0.421496i | ||||
\(323\) | 10.7790 | − | 2.88824i | 0.599762 | − | 0.160706i | ||||
\(324\) | −0.866025 | + | 0.500000i | −0.0481125 | + | 0.0277778i | ||||
\(325\) | 4.69154 | + | 29.6271i | 0.260240 | + | 1.64341i | ||||
\(326\) | −16.1224 | −0.892936 | ||||||||
\(327\) | −0.669414 | − | 0.179369i | −0.0370187 | − | 0.00991912i | ||||
\(328\) | 3.00809 | + | 11.2263i | 0.166094 | + | 0.619871i | ||||
\(329\) | −6.54301 | + | 3.77761i | −0.360728 | + | 0.208266i | ||||
\(330\) | 6.13556 | − | 5.52431i | 0.337751 | − | 0.304103i | ||||
\(331\) | −6.43483 | − | 3.71515i | −0.353690 | − | 0.204203i | 0.312619 | − | 0.949879i | \(-0.398794\pi\) |
−0.666309 | + | 0.745675i | \(0.732127\pi\) | |||||||
\(332\) | −2.39657 | − | 8.94413i | −0.131529 | − | 0.490873i | ||||
\(333\) | 3.46886 | + | 3.46886i | 0.190093 | + | 0.190093i | ||||
\(334\) | −1.74585 | − | 3.02390i | −0.0955287 | − | 0.165461i | ||||
\(335\) | −9.47605 | + | 14.5914i | −0.517732 | + | 0.797211i | ||||
\(336\) | 4.46290 | + | 2.57665i | 0.243471 | + | 0.140568i | ||||
\(337\) | 10.3325 | − | 10.3325i | 0.562848 | − | 0.562848i | −0.367267 | − | 0.930115i | \(-0.619707\pi\) |
0.930115 | + | 0.367267i | \(0.119707\pi\) | |||||||
\(338\) | 22.2075 | + | 5.95049i | 1.20793 | + | 0.323664i | ||||
\(339\) | 3.29744 | 0.179092 | ||||||||
\(340\) | 1.49608 | + | 2.93632i | 0.0811361 | + | 0.159245i | ||||
\(341\) | 14.2680 | + | 14.7998i | 0.772657 | + | 0.801454i | ||||
\(342\) | 5.35411 | + | 5.35411i | 0.289517 | + | 0.289517i | ||||
\(343\) | −45.7554 | + | 45.7554i | −2.47056 | + | 2.47056i | ||||
\(344\) | −2.49689 | − | 4.32475i | −0.134623 | − | 0.233175i | ||||
\(345\) | −3.91856 | + | 12.0595i | −0.210968 | + | 0.649260i | ||||
\(346\) | 4.47940 | − | 7.75856i | 0.240814 | − | 0.417103i | ||||
\(347\) | 8.94230 | + | 2.39608i | 0.480048 | + | 0.128628i | 0.490725 | − | 0.871315i | \(-0.336732\pi\) |
−0.0106770 | + | 0.999943i | \(0.503399\pi\) | |||||||
\(348\) | 2.99661 | + | 0.802941i | 0.160635 | + | 0.0430421i | ||||
\(349\) | − | 32.2950i | − | 1.72871i | −0.502882 | − | 0.864355i | \(-0.667727\pi\) | ||
0.502882 | − | 0.864355i | \(-0.332273\pi\) | |||||||
\(350\) | −10.4795 | − | 23.5392i | −0.560152 | − | 1.25822i | ||||
\(351\) | 2.99962 | − | 5.19550i | 0.160108 | − | 0.277315i | ||||
\(352\) | 0.955621 | + | 3.56643i | 0.0509348 | + | 0.190091i | ||||
\(353\) | −5.16214 | + | 19.2654i | −0.274753 | + | 1.02539i | 0.681254 | + | 0.732048i | \(0.261435\pi\) |
−0.956007 | + | 0.293345i | \(0.905232\pi\) | |||||||
\(354\) | 3.11944 | − | 5.40302i | 0.165796 | − | 0.287167i | ||||
\(355\) | −2.01861 | − | 9.49751i | −0.107137 | − | 0.504076i | ||||
\(356\) | − | 11.3115i | − | 0.599508i | ||||||
\(357\) | 5.37039 | + | 5.37039i | 0.284231 | + | 0.284231i | ||||
\(358\) | −0.0319130 | + | 0.119101i | −0.00168666 | + | 0.00629468i | ||||
\(359\) | 12.0432 | + | 6.95312i | 0.635614 | + | 0.366972i | 0.782923 | − | 0.622119i | \(-0.213728\pi\) |
−0.147309 | + | 0.989091i | \(0.547061\pi\) | |||||||
\(360\) | −1.21788 | + | 1.87531i | −0.0641878 | + | 0.0988373i | ||||
\(361\) | 19.1664 | − | 33.1973i | 1.00876 | − | 1.74722i | ||||
\(362\) | −0.188446 | − | 0.703291i | −0.00990451 | − | 0.0369641i | ||||
\(363\) | 2.54291 | − | 0.681371i | 0.133468 | − | 0.0357627i | ||||
\(364\) | −30.9160 | −1.62044 | ||||||||
\(365\) | −12.4307 | + | 19.1410i | −0.650655 | + | 1.00189i | ||||
\(366\) | −4.16953 | − | 7.22183i | −0.217945 | − | 0.377491i | ||||
\(367\) | 4.00924 | + | 14.9627i | 0.209281 | + | 0.781046i | 0.988102 | + | 0.153800i | \(0.0491512\pi\) |
−0.778821 | + | 0.627246i | \(0.784182\pi\) | |||||||
\(368\) | −4.00981 | − | 4.00981i | −0.209026 | − | 0.209026i | ||||
\(369\) | −10.0653 | + | 5.81118i | −0.523977 | + | 0.302518i | ||||
\(370\) | 10.4326 | + | 3.38992i | 0.542364 | + | 0.176234i | ||||
\(371\) | − | 36.5474i | − | 1.89745i | ||||||
\(372\) | −4.77010 | − | 2.87161i | −0.247318 | − | 0.148886i | ||||
\(373\) | −3.90561 | + | 3.90561i | −0.202225 | + | 0.202225i | −0.800953 | − | 0.598728i | \(-0.795673\pi\) |
0.598728 | + | 0.800953i | \(0.295673\pi\) | |||||||
\(374\) | 5.44157i | 0.281377i | ||||||||
\(375\) | 10.4379 | − | 4.00620i | 0.539012 | − | 0.206879i | ||||
\(376\) | 1.46609 | 0.0756078 | ||||||||
\(377\) | −17.9774 | + | 4.81704i | −0.925885 | + | 0.248090i | ||||
\(378\) | −1.33377 | + | 4.97771i | −0.0686019 | + | 0.256026i | ||||
\(379\) | −32.8443 | + | 18.9626i | −1.68710 | + | 0.974046i | −0.730373 | + | 0.683049i | \(0.760654\pi\) |
−0.956724 | + | 0.290997i | \(0.906013\pi\) | |||||||
\(380\) | 16.1024 | + | 5.23226i | 0.826037 | + | 0.268409i | ||||
\(381\) | −1.01635 | + | 1.76037i | −0.0520693 | + | 0.0901867i | ||||
\(382\) | 15.8881 | − | 4.25721i | 0.812906 | − | 0.217818i | ||||
\(383\) | −13.1618 | + | 3.52670i | −0.672538 | + | 0.180206i | −0.578898 | − | 0.815400i | \(-0.696517\pi\) |
−0.0936404 | + | 0.995606i | \(0.529850\pi\) | |||||||
\(384\) | −0.500000 | − | 0.866025i | −0.0255155 | − | 0.0441942i | ||||
\(385\) | 2.22734 | − | 42.4879i | 0.113516 | − | 2.16538i | ||||
\(386\) | −6.42820 | − | 11.1340i | −0.327187 | − | 0.566704i | ||||
\(387\) | 3.53114 | − | 3.53114i | 0.179498 | − | 0.179498i | ||||
\(388\) | 4.56736 | − | 4.56736i | 0.231872 | − | 0.231872i | ||||
\(389\) | −13.1626 | − | 22.7982i | −0.667368 | − | 1.15592i | −0.978637 | − | 0.205594i | \(-0.934087\pi\) |
0.311269 | − | 0.950322i | \(-0.399246\pi\) | |||||||
\(390\) | 0.702275 | − | 13.3963i | 0.0355611 | − | 0.678349i | ||||
\(391\) | −4.17872 | − | 7.23776i | −0.211327 | − | 0.366029i | ||||
\(392\) | 18.8902 | − | 5.06162i | 0.954100 | − | 0.255650i | ||||
\(393\) | 2.84758 | − | 0.763006i | 0.143641 | − | 0.0384886i | ||||
\(394\) | −1.69845 | + | 2.94181i | −0.0855668 | + | 0.148206i | ||||
\(395\) | −6.86330 | − | 2.23014i | −0.345330 | − | 0.112210i | ||||
\(396\) | −3.19757 | + | 1.84612i | −0.160684 | + | 0.0927710i | ||||
\(397\) | 5.49465 | − | 20.5063i | 0.275769 | − | 1.02918i | −0.679556 | − | 0.733624i | \(-0.737828\pi\) |
0.955325 | − | 0.295559i | \(-0.0955058\pi\) | |||||||
\(398\) | −2.97355 | + | 0.796761i | −0.149051 | + | 0.0399380i | ||||
\(399\) | 39.0201 | 1.95345 | ||||||||
\(400\) | −0.522793 | + | 4.97259i | −0.0261397 | + | 0.248630i | ||||
\(401\) | 14.9539i | 0.746764i | 0.927678 | + | 0.373382i | \(0.121802\pi\) | ||||
−0.927678 | + | 0.373382i | \(0.878198\pi\) | |||||||
\(402\) | 5.50185 | − | 5.50185i | 0.274407 | − | 0.274407i | ||||
\(403\) | 33.3968 | + | 0.610965i | 1.66361 | + | 0.0304344i | ||||
\(404\) | − | 0.860772i | − | 0.0428250i | ||||||
\(405\) | −2.12662 | − | 0.691015i | −0.105672 | − | 0.0343368i | ||||
\(406\) | 13.8453 | − | 7.99362i | 0.687133 | − | 0.396716i | ||||
\(407\) | 12.8079 | + | 12.8079i | 0.634862 | + | 0.634862i | ||||
\(408\) | −0.381444 | − | 1.42357i | −0.0188843 | − | 0.0704772i | ||||
\(409\) | −9.24850 | − | 16.0189i | −0.457309 | − | 0.792082i | 0.541509 | − | 0.840695i | \(-0.317853\pi\) |
−0.998818 | + | 0.0486130i | \(0.984520\pi\) | |||||||
\(410\) | −14.1546 | + | 21.7955i | −0.699047 | + | 1.07640i | ||||
\(411\) | 5.80494 | 0.286337 | ||||||||
\(412\) | 7.18081 | − | 1.92409i | 0.353773 | − | 0.0947932i | ||||
\(413\) | −8.32125 | − | 31.0553i | −0.409462 | − | 1.52813i | ||||
\(414\) | 2.83536 | − | 4.91099i | 0.139351 | − | 0.241362i | ||||
\(415\) | 11.2771 | − | 17.3647i | 0.553572 | − | 0.852398i | ||||
\(416\) | 5.19550 | + | 2.99962i | 0.254730 | + | 0.147069i | ||||
\(417\) | 4.87161 | − | 18.1811i | 0.238564 | − | 0.890331i | ||||
\(418\) | 19.7686 | + | 19.7686i | 0.966915 | + | 0.966915i | ||||
\(419\) | − | 36.1683i | − | 1.76694i | −0.468491 | − | 0.883468i | \(-0.655202\pi\) | ||
0.468491 | − | 0.883468i | \(-0.344798\pi\) | |||||||
\(420\) | 2.39563 | + | 11.2714i | 0.116895 | + | 0.549987i | ||||
\(421\) | 16.1104 | − | 27.9041i | 0.785175 | − | 1.35996i | −0.143720 | − | 0.989618i | \(-0.545906\pi\) |
0.928895 | − | 0.370344i | \(-0.120760\pi\) | |||||||
\(422\) | 1.98164 | − | 7.39556i | 0.0964645 | − | 0.360010i | ||||
\(423\) | 0.379452 | + | 1.41613i | 0.0184496 | + | 0.0688548i | ||||
\(424\) | −3.54601 | + | 6.14188i | −0.172210 | + | 0.298276i | ||||
\(425\) | −2.64100 | + | 6.87941i | −0.128107 | + | 0.333701i | ||||
\(426\) | 4.34229i | 0.210385i | ||||||||
\(427\) | −41.5094 | − | 11.1224i | −2.00878 | − | 0.538251i | ||||
\(428\) | −8.97521 | − | 2.40490i | −0.433833 | − | 0.116245i | ||||
\(429\) | 11.0753 | − | 19.1830i | 0.534721 | − | 0.926165i | ||||
\(430\) | 3.45078 | − | 10.6199i | 0.166411 | − | 0.512135i | ||||
\(431\) | −11.4126 | − | 19.7672i | −0.549726 | − | 0.952153i | −0.998293 | − | 0.0584037i | \(-0.981399\pi\) |
0.448567 | − | 0.893749i | \(-0.351934\pi\) | |||||||
\(432\) | 0.707107 | − | 0.707107i | 0.0340207 | − | 0.0340207i | ||||
\(433\) | 11.4750 | + | 11.4750i | 0.551453 | + | 0.551453i | 0.926860 | − | 0.375407i | \(-0.122497\pi\) |
−0.375407 | + | 0.926860i | \(0.622497\pi\) | |||||||
\(434\) | −27.8459 | + | 6.91797i | −1.33665 | + | 0.332073i | ||||
\(435\) | 3.14924 | + | 6.18097i | 0.150995 | + | 0.296355i | ||||
\(436\) | 0.693028 | 0.0331900 | ||||||||
\(437\) | −41.4748 | − | 11.1131i | −1.98401 | − | 0.531614i | ||||
\(438\) | 7.21736 | − | 7.21736i | 0.344859 | − | 0.344859i | ||||
\(439\) | 16.4418 | + | 9.49267i | 0.784723 | + | 0.453060i | 0.838102 | − | 0.545514i | \(-0.183666\pi\) |
−0.0533783 | + | 0.998574i | \(0.516999\pi\) | |||||||
\(440\) | −4.49670 | + | 6.92407i | −0.214372 | + | 0.330092i | ||||
\(441\) | 9.77829 | + | 16.9365i | 0.465633 | + | 0.806500i | ||||
\(442\) | 6.25196 | + | 6.25196i | 0.297376 | + | 0.297376i | ||||
\(443\) | 0.703839 | + | 2.62676i | 0.0334404 | + | 0.124801i | 0.980628 | − | 0.195878i | \(-0.0627556\pi\) |
−0.947188 | + | 0.320679i | \(0.896089\pi\) | |||||||
\(444\) | −4.24847 | − | 2.45286i | −0.201624 | − | 0.116407i | ||||
\(445\) | 18.7968 | − | 16.9242i | 0.891055 | − | 0.802285i | ||||
\(446\) | 14.5015 | − | 8.37244i | 0.686665 | − | 0.396447i | ||||
\(447\) | 0.132746 | + | 0.495414i | 0.00627866 | + | 0.0234323i | ||||
\(448\) | −4.97771 | − | 1.33377i | −0.235175 | − | 0.0630149i | ||||
\(449\) | 29.5864 | 1.39627 | 0.698134 | − | 0.715967i | \(-0.254014\pi\) | ||||
0.698134 | + | 0.715967i | \(0.254014\pi\) | |||||||
\(450\) | −4.93847 | + | 0.782022i | −0.232801 | + | 0.0368649i | ||||
\(451\) | −37.1633 | + | 21.4563i | −1.74995 | + | 1.01034i | ||||
\(452\) | −3.18508 | + | 0.853440i | −0.149814 | + | 0.0401424i | ||||
\(453\) | −6.38837 | − | 1.71176i | −0.300152 | − | 0.0804255i | ||||
\(454\) | −1.19655 | − | 0.690827i | −0.0561568 | − | 0.0324221i | ||||
\(455\) | −46.2563 | − | 51.3744i | −2.16853 | − | 2.40847i | ||||
\(456\) | −6.55741 | − | 3.78592i | −0.307079 | − | 0.177292i | ||||
\(457\) | −11.9076 | + | 11.9076i | −0.557015 | + | 0.557015i | −0.928456 | − | 0.371442i | \(-0.878864\pi\) |
0.371442 | + | 0.928456i | \(0.378864\pi\) | |||||||
\(458\) | 1.03509 | − | 3.86300i | 0.0483665 | − | 0.180506i | ||||
\(459\) | 1.27634 | − | 0.736894i | 0.0595743 | − | 0.0343952i | ||||
\(460\) | 0.663819 | − | 12.6627i | 0.0309507 | − | 0.590403i | ||||
\(461\) | 19.2136i | 0.894866i | 0.894317 | + | 0.447433i | \(0.147662\pi\) | ||||
−0.894317 | + | 0.447433i | \(0.852338\pi\) | |||||||
\(462\) | −4.92461 | + | 18.3789i | −0.229114 | + | 0.855064i | ||||
\(463\) | −5.05722 | − | 5.05722i | −0.235029 | − | 0.235029i | 0.579759 | − | 0.814788i | \(-0.303147\pi\) |
−0.814788 | + | 0.579759i | \(0.803147\pi\) | |||||||
\(464\) | −3.10232 | −0.144022 | ||||||||
\(465\) | −2.36512 | − | 12.2232i | −0.109680 | − | 0.566837i | ||||
\(466\) | −27.0807 | −1.25449 | ||||||||
\(467\) | 3.95701 | + | 3.95701i | 0.183109 | + | 0.183109i | 0.792709 | − | 0.609600i | \(-0.208670\pi\) |
−0.609600 | + | 0.792709i | \(0.708670\pi\) | |||||||
\(468\) | −1.55272 | + | 5.79483i | −0.0717745 | + | 0.267866i | ||||
\(469\) | − | 40.0968i | − | 1.85150i | ||||||
\(470\) | 2.19356 | + | 2.43627i | 0.101181 | + | 0.112377i | ||||
\(471\) | −6.44139 | + | 3.71894i | −0.296804 | + | 0.171360i | ||||
\(472\) | −1.61474 | + | 6.02629i | −0.0743244 | + | 0.277382i | ||||
\(473\) | 13.0378 | − | 13.0378i | 0.599479 | − | 0.599479i | ||||
\(474\) | 2.79495 | + | 1.61367i | 0.128376 | + | 0.0741182i | ||||
\(475\) | 15.3977 | + | 34.5866i | 0.706495 | + | 1.58694i | ||||
\(476\) | −6.57736 | − | 3.79744i | −0.301473 | − | 0.174055i | ||||
\(477\) | −6.85037 | − | 1.83555i | −0.313657 | − | 0.0840441i | ||||
\(478\) | −18.8527 | + | 5.05156i | −0.862302 | + | 0.231053i | ||||
\(479\) | 10.6477 | − | 6.14743i | 0.486504 | − | 0.280883i | −0.236619 | − | 0.971603i | \(-0.576039\pi\) |
0.723123 | + | 0.690719i | \(0.242706\pi\) | |||||||
\(480\) | 0.691015 | − | 2.12662i | 0.0315404 | − | 0.0970663i | ||||
\(481\) | 29.4306 | 1.34192 | ||||||||
\(482\) | −9.93749 | − | 2.66274i | −0.452640 | − | 0.121285i | ||||
\(483\) | −7.56347 | − | 28.2273i | −0.344150 | − | 1.28438i | ||||
\(484\) | −2.27991 | + | 1.31631i | −0.103632 | + | 0.0598322i | ||||
\(485\) | 14.4234 | + | 0.756120i | 0.654935 | + | 0.0343336i | ||||
\(486\) | 0.866025 | + | 0.500000i | 0.0392837 | + | 0.0226805i | ||||
\(487\) | −3.75843 | − | 14.0266i | −0.170311 | − | 0.635608i | −0.997303 | − | 0.0733948i | \(-0.976617\pi\) |
0.826992 | − | 0.562213i | \(-0.190050\pi\) | |||||||
\(488\) | 5.89660 | + | 5.89660i | 0.266927 | + | 0.266927i | ||||
\(489\) | 8.06119 | + | 13.9624i | 0.364540 | + | 0.631401i | ||||
\(490\) | 36.6746 | + | 23.8175i | 1.65679 | + | 1.07597i | ||||
\(491\) | −33.2743 | − | 19.2110i | −1.50165 | − | 0.866978i | −0.999998 | − | 0.00190863i | \(-0.999392\pi\) |
−0.501652 | − | 0.865070i | \(-0.667274\pi\) | |||||||
\(492\) | 8.21825 | − | 8.21825i | 0.370507 | − | 0.370507i | ||||
\(493\) | −4.41637 | − | 1.18336i | −0.198903 | − | 0.0532960i | ||||
\(494\) | 45.4254 | 2.04378 | ||||||||
\(495\) | −7.85197 | − | 2.55139i | −0.352920 | − | 0.114677i | ||||
\(496\) | 5.35079 | + | 1.53917i | 0.240258 | + | 0.0691109i | ||||
\(497\) | 15.8230 | + | 15.8230i | 0.709761 | + | 0.709761i | ||||
\(498\) | −6.54756 | + | 6.54756i | −0.293403 | + | 0.293403i | ||||
\(499\) | 5.46728 | + | 9.46961i | 0.244749 | + | 0.423918i | 0.962061 | − | 0.272834i | \(-0.0879610\pi\) |
−0.717312 | + | 0.696752i | \(0.754628\pi\) | |||||||
\(500\) | −9.04538 | + | 6.57123i | −0.404522 | + | 0.293874i | ||||
\(501\) | −1.74585 | + | 3.02390i | −0.0779989 | + | 0.135098i | ||||
\(502\) | 13.8943 | + | 3.72296i | 0.620132 | + | 0.166164i | ||||
\(503\) | 10.5577 | + | 2.82893i | 0.470745 | + | 0.126136i | 0.486390 | − | 0.873742i | \(-0.338313\pi\) |
−0.0156447 | + | 0.999878i | \(0.504980\pi\) | |||||||
\(504\) | − | 5.15331i | − | 0.229547i | ||||||
\(505\) | 1.43038 | − | 1.28788i | 0.0636513 | − | 0.0573101i | ||||
\(506\) | 10.4688 | − | 18.1326i | 0.465396 | − | 0.806090i | ||||
\(507\) | −5.95049 | − | 22.2075i | −0.264271 | − | 0.986272i | ||||
\(508\) | 0.526103 | − | 1.96344i | 0.0233420 | − | 0.0871136i | ||||
\(509\) | −0.369403 | + | 0.639825i | −0.0163735 | + | 0.0283598i | −0.874096 | − | 0.485753i | \(-0.838545\pi\) |
0.857723 | + | 0.514113i | \(0.171879\pi\) | |||||||
\(510\) | 1.79489 | − | 2.76380i | 0.0794792 | − | 0.122383i | ||||
\(511\) | − | 52.5992i | − | 2.32685i | ||||||
\(512\) | 0.707107 | + | 0.707107i | 0.0312500 | + | 0.0312500i | ||||
\(513\) | 1.95974 | − | 7.31384i | 0.0865246 | − | 0.322914i | ||||
\(514\) | −6.42996 | − | 3.71234i | −0.283614 | − | 0.163744i | ||||
\(515\) | 13.9413 | + | 9.05386i | 0.614325 | + | 0.398961i | ||||
\(516\) | −2.49689 | + | 4.32475i | −0.109920 | + | 0.190386i | ||||
\(517\) | 1.40103 | + | 5.22870i | 0.0616171 | + | 0.229958i | ||||
\(518\) | −24.4192 | + | 6.54311i | −1.07292 | + | 0.287488i | ||||
\(519\) | −8.95881 | −0.393248 | ||||||||
\(520\) | 2.78888 | + | 13.1216i | 0.122300 | + | 0.575421i | ||||
\(521\) | −3.86445 | − | 6.69343i | −0.169305 | − | 0.293245i | 0.768871 | − | 0.639404i | \(-0.220819\pi\) |
−0.938176 | + | 0.346160i | \(0.887486\pi\) | |||||||
\(522\) | −0.802941 | − | 2.99661i | −0.0351438 | − | 0.131158i | ||||
\(523\) | 25.7662 | + | 25.7662i | 1.12668 | + | 1.12668i | 0.990714 | + | 0.135961i | \(0.0434122\pi\) |
0.135961 | + | 0.990714i | \(0.456588\pi\) | |||||||
\(524\) | −2.55307 | + | 1.47402i | −0.111531 | + | 0.0643927i | ||||
\(525\) | −15.1458 | + | 20.8451i | −0.661018 | + | 0.909755i | ||||
\(526\) | 27.5577i | 1.20157i | ||||||||
\(527\) | 7.03011 | + | 4.23215i | 0.306236 | + | 0.184355i | ||||
\(528\) | 2.61081 | − | 2.61081i | 0.113621 | − | 0.113621i | ||||
\(529\) | 9.15714i | 0.398137i | ||||||||
\(530\) | −15.5118 | + | 3.29688i | −0.673788 | + | 0.143207i | ||||
\(531\) | −6.23887 | −0.270744 | ||||||||
\(532\) | −37.6905 | + | 10.0991i | −1.63409 | + | 0.437853i | ||||
\(533\) | −18.0463 | + | 67.3496i | −0.781671 | + | 2.91723i | ||||
\(534\) | −9.79605 | + | 5.65575i | −0.423916 | + | 0.244748i | ||||
\(535\) | −9.43235 | − | 18.5127i | −0.407796 | − | 0.800375i | ||||
\(536\) | −3.89039 | + | 6.73836i | −0.168039 | + | 0.291053i | ||||
\(537\) | 0.119101 | − | 0.0319130i | 0.00513959 | − | 0.00137715i | ||||
\(538\) | −12.7599 | + | 3.41900i | −0.550118 | + | 0.147404i | ||||
\(539\) | 36.1038 | + | 62.5336i | 1.55510 | + | 2.69351i | ||||
\(540\) | 2.23300 | + | 0.117061i | 0.0960931 | + | 0.00503749i | ||||
\(541\) | −21.8653 | − | 37.8719i | −0.940064 | − | 1.62824i | −0.765344 | − | 0.643621i | \(-0.777431\pi\) |
−0.174720 | − | 0.984618i | \(-0.555902\pi\) | |||||||
\(542\) | 3.77970 | − | 3.77970i | 0.162352 | − | 0.162352i | ||||
\(543\) | −0.514844 | + | 0.514844i | −0.0220941 | + | 0.0220941i | ||||
\(544\) | 0.736894 | + | 1.27634i | 0.0315941 | + | 0.0547225i | ||||
\(545\) | 1.03691 | + | 1.15164i | 0.0444162 | + | 0.0493307i | ||||
\(546\) | 15.4580 | + | 26.7740i | 0.661540 | + | 1.14582i | ||||
\(547\) | −1.68132 | + | 0.450509i | −0.0718881 | + | 0.0192624i | −0.294584 | − | 0.955626i | \(-0.595181\pi\) |
0.222696 | + | 0.974888i | \(0.428514\pi\) | |||||||
\(548\) | −5.60714 | + | 1.50243i | −0.239525 | + | 0.0641806i | ||||
\(549\) | −4.16953 | + | 7.22183i | −0.177951 | + | 0.308220i | ||||
\(550\) | −18.2340 | + | 2.88741i | −0.777500 | + | 0.123120i | ||||
\(551\) | −20.3432 | + | 11.7452i | −0.866650 | + | 0.500361i | ||||
\(552\) | −1.46769 | + | 5.47750i | −0.0624691 | + | 0.233138i | ||||
\(553\) | 16.0647 | − | 4.30453i | 0.683142 | − | 0.183047i | ||||
\(554\) | 5.02393 | 0.213446 | ||||||||
\(555\) | −2.28053 | − | 10.7298i | −0.0968029 | − | 0.455456i | ||||
\(556\) | 18.8224i | 0.798249i | ||||||||
\(557\) | 15.6032 | − | 15.6032i | 0.661128 | − | 0.661128i | −0.294518 | − | 0.955646i | \(-0.595159\pi\) |
0.955646 | + | 0.294518i | \(0.0951590\pi\) | |||||||
\(558\) | −0.101840 | + | 5.56683i | −0.00431125 | + | 0.235663i | ||||
\(559\) | − | 29.9589i | − | 1.26713i | ||||||
\(560\) | −5.23124 | − | 10.2673i | −0.221060 | − | 0.433872i | ||||
\(561\) | 4.71254 | − | 2.72079i | 0.198964 | − | 0.114872i | ||||
\(562\) | 9.18562 | + | 9.18562i | 0.387472 | + | 0.387472i | ||||
\(563\) | −5.97785 | − | 22.3096i | −0.251936 | − | 0.940239i | −0.969769 | − | 0.244024i | \(-0.921532\pi\) |
0.717833 | − | 0.696216i | \(-0.245134\pi\) | |||||||
\(564\) | −0.733045 | − | 1.26967i | −0.0308668 | − | 0.0534628i | ||||
\(565\) | −6.18371 | − | 4.01588i | −0.260150 | − | 0.168949i | ||||
\(566\) | −27.5385 | −1.15753 | ||||||||
\(567\) | 4.97771 | − | 1.33377i | 0.209044 | − | 0.0560133i | ||||
\(568\) | −1.12387 | − | 4.19433i | −0.0471564 | − | 0.175990i | ||||
\(569\) | 0.932490 | − | 1.61512i | 0.0390920 | − | 0.0677093i | −0.845817 | − | 0.533472i | \(-0.820887\pi\) |
0.884909 | + | 0.465763i | \(0.154220\pi\) | |||||||
\(570\) | −3.51994 | − | 16.5612i | −0.147434 | − | 0.693674i | ||||
\(571\) | 27.8907 | + | 16.1027i | 1.16719 | + | 0.673878i | 0.953017 | − | 0.302918i | \(-0.0979608\pi\) |
0.214174 | + | 0.976796i | \(0.431294\pi\) | |||||||
\(572\) | −5.73301 | + | 21.3959i | −0.239709 | + | 0.894606i | ||||
\(573\) | −11.6309 | − | 11.6309i | −0.485888 | − | 0.485888i | ||||
\(574\) | − | 59.8936i | − | 2.49991i | ||||||
\(575\) | 22.0355 | − | 17.8429i | 0.918942 | − | 0.744098i | ||||
\(576\) | −0.500000 | + | 0.866025i | −0.0208333 | + | 0.0360844i | ||||
\(577\) | −4.27289 | + | 15.9466i | −0.177883 | + | 0.663867i | 0.818160 | + | 0.574991i | \(0.194994\pi\) |
−0.996043 | + | 0.0888764i | \(0.971672\pi\) | |||||||
\(578\) | −3.83776 | − | 14.3227i | −0.159630 | − | 0.595746i | ||||
\(579\) | −6.42820 | + | 11.1340i | −0.267147 | + | 0.462712i | ||||
\(580\) | −4.64169 | − | 5.15527i | −0.192736 | − | 0.214061i | ||||
\(581\) | 47.7178i | 1.97967i | ||||||||
\(582\) | −6.23913 | − | 1.67177i | −0.258620 | − | 0.0692970i | ||||
\(583\) | −25.2932 | − | 6.77729i | −1.04754 | − | 0.280687i | ||||
\(584\) | −5.10344 | + | 8.83942i | −0.211182 | + | 0.365778i | ||||
\(585\) | −11.9527 | + | 6.08997i | −0.494183 | + | 0.251789i | ||||
\(586\) | −15.2158 | − | 26.3546i | −0.628560 | − | 1.08870i | ||||
\(587\) | −22.8774 | + | 22.8774i | −0.944253 | + | 0.944253i | −0.998526 | − | 0.0542732i | \(-0.982716\pi\) |
0.0542732 | + | 0.998526i | \(0.482716\pi\) | |||||||
\(588\) | −13.8286 | − | 13.8286i | −0.570282 | − | 0.570282i | ||||
\(589\) | 40.9145 | − | 10.1647i | 1.68585 | − | 0.418829i | ||||
\(590\) | −12.4301 | + | 6.33323i | −0.511740 | + | 0.260735i | ||||
\(591\) | 3.39691 | 0.139730 | ||||||||
\(592\) | 4.73855 | + | 1.26969i | 0.194753 | + | 0.0521840i | ||||
\(593\) | −24.0436 | + | 24.0436i | −0.987354 | + | 0.987354i | −0.999921 | − | 0.0125668i | \(-0.996000\pi\) |
0.0125668 | + | 0.999921i | \(0.496000\pi\) | |||||||
\(594\) | 3.19757 | + | 1.84612i | 0.131198 | + | 0.0757472i | ||||
\(595\) | −3.53064 | − | 16.6116i | −0.144742 | − | 0.681010i | ||||
\(596\) | −0.256445 | − | 0.444176i | −0.0105044 | − | 0.0181942i | ||||
\(597\) | 2.17679 | + | 2.17679i | 0.0890902 | + | 0.0890902i | ||||
\(598\) | −8.80504 | − | 32.8609i | −0.360065 | − | 1.34378i | ||||
\(599\) | 15.7834 | + | 9.11257i | 0.644893 | + | 0.372329i | 0.786497 | − | 0.617594i | \(-0.211892\pi\) |
−0.141604 | + | 0.989923i | \(0.545226\pi\) | |||||||
\(600\) | 4.56779 | − | 2.03354i | 0.186479 | − | 0.0830191i | ||||
\(601\) | 7.47680 | − | 4.31673i | 0.304985 | − | 0.176083i | −0.339695 | − | 0.940536i | \(-0.610324\pi\) |
0.644680 | + | 0.764452i | \(0.276991\pi\) | |||||||
\(602\) | 6.66058 | + | 24.8576i | 0.271465 | + | 1.01312i | ||||
\(603\) | −7.51566 | − | 2.01382i | −0.306061 | − | 0.0820089i | ||||
\(604\) | 6.61373 | 0.269109 | ||||||||
\(605\) | −5.59857 | − | 1.81918i | −0.227614 | − | 0.0739601i | ||||
\(606\) | −0.745451 | + | 0.430386i | −0.0302819 | + | 0.0174832i | ||||
\(607\) | −18.4462 | + | 4.94265i | −0.748709 | + | 0.200616i | −0.612945 | − | 0.790125i | \(-0.710015\pi\) |
−0.135764 | + | 0.990741i | \(0.543349\pi\) | |||||||
\(608\) | 7.31384 | + | 1.95974i | 0.296616 | + | 0.0794779i | ||||
\(609\) | −13.8453 | − | 7.99362i | −0.561042 | − | 0.323918i | ||||
\(610\) | −0.976175 | + | 18.6211i | −0.0395242 | + | 0.753947i | ||||
\(611\) | 7.61707 | + | 4.39772i | 0.308154 | + | 0.177913i | ||||
\(612\) | −1.04212 | + | 1.04212i | −0.0421254 | + | 0.0421254i | ||||
\(613\) | 10.0625 | − | 37.5539i | 0.406422 | − | 1.51679i | −0.394997 | − | 0.918682i | \(-0.629254\pi\) |
0.801419 | − | 0.598104i | \(-0.204079\pi\) | |||||||
\(614\) | −3.36385 | + | 1.94212i | −0.135754 | + | 0.0783776i | ||||
\(615\) | 25.9528 | + | 1.36052i | 1.04652 | + | 0.0548615i | ||||
\(616\) | − | 19.0272i | − | 0.766629i | ||||||
\(617\) | −2.77043 | + | 10.3394i | −0.111533 | + | 0.416248i | −0.999004 | − | 0.0446159i | \(-0.985794\pi\) |
0.887471 | + | 0.460864i | \(0.152460\pi\) | |||||||
\(618\) | −5.25672 | − | 5.25672i | −0.211456 | − | 0.211456i | ||||
\(619\) | −8.86787 | −0.356430 | −0.178215 | − | 0.983992i | \(-0.557032\pi\) | ||||
−0.178215 | + | 0.983992i | \(0.557032\pi\) | |||||||
\(620\) | 5.44812 | + | 11.1946i | 0.218802 | + | 0.449584i | ||||
\(621\) | −5.67073 | −0.227558 | ||||||||
\(622\) | −7.43284 | − | 7.43284i | −0.298030 | − | 0.298030i | ||||
\(623\) | −15.0870 | + | 56.3054i | −0.604447 | + | 2.25583i | ||||
\(624\) | − | 5.99925i | − | 0.240162i | ||||||
\(625\) | −24.4534 | − | 5.19928i | −0.978135 | − | 0.207971i | ||||
\(626\) | −2.43157 | + | 1.40387i | −0.0971853 | + | 0.0561099i | ||||
\(627\) | 7.23582 | − | 27.0044i | 0.288971 | − | 1.07845i | ||||
\(628\) | 5.25938 | − | 5.25938i | 0.209872 | − | 0.209872i | ||||
\(629\) | 6.26134 | + | 3.61499i | 0.249656 | + | 0.144139i | ||||
\(630\) | 8.56348 | − | 7.71036i | 0.341177 | − | 0.307188i | ||||
\(631\) | −0.0704252 | − | 0.0406600i | −0.00280358 | − | 0.00161865i | 0.498598 | − | 0.866834i | \(-0.333849\pi\) |
−0.501401 | + | 0.865215i | \(0.667182\pi\) | |||||||
\(632\) | −3.11736 | − | 0.835295i | −0.124002 | − | 0.0332263i | ||||
\(633\) | −7.39556 | + | 1.98164i | −0.293947 | + | 0.0787629i | ||||
\(634\) | 22.0964 | − | 12.7574i | 0.877560 | − | 0.506660i | ||||
\(635\) | 4.04989 | − | 2.06345i | 0.160715 | − | 0.0818854i | ||||
\(636\) | 7.09203 | 0.281217 | ||||||||
\(637\) | 113.327 | + | 30.3659i | 4.49018 | + | 1.20314i | ||||
\(638\) | −2.96465 | − | 11.0642i | −0.117371 | − | 0.438036i | ||||
\(639\) | 3.76054 | − | 2.17115i | 0.148764 | − | 0.0858892i | ||||
\(640\) | −0.117061 | + | 2.23300i | −0.00462723 | + | 0.0882671i | ||||
\(641\) | −1.46013 | − | 0.843007i | −0.0576717 | − | 0.0332968i | 0.470887 | − | 0.882194i | \(-0.343934\pi\) |
−0.528559 | + | 0.848897i | \(0.677267\pi\) | |||||||
\(642\) | 2.40490 | + | 8.97521i | 0.0949139 | + | 0.354223i | ||||
\(643\) | −2.09834 | − | 2.09834i | −0.0827503 | − | 0.0827503i | 0.664520 | − | 0.747270i | \(-0.268636\pi\) |
−0.747270 | + | 0.664520i | \(0.768636\pi\) | |||||||
\(644\) | 14.6115 | + | 25.3079i | 0.575774 | + | 0.997269i | ||||
\(645\) | −10.9225 | + | 2.32147i | −0.430072 | + | 0.0914077i | ||||
\(646\) | 9.66423 | + | 5.57965i | 0.380234 | + | 0.219528i | ||||
\(647\) | 32.2688 | − | 32.2688i | 1.26862 | − | 1.26862i | 0.321817 | − | 0.946802i | \(-0.395706\pi\) |
0.946802 | − | 0.321817i | \(-0.104294\pi\) | |||||||
\(648\) | −0.965926 | − | 0.258819i | −0.0379452 | − | 0.0101674i | ||||
\(649\) | −23.0354 | −0.904218 | ||||||||
\(650\) | −17.6321 | + | 24.2669i | −0.691587 | + | 0.951827i | ||||
\(651\) | 19.9141 | + | 20.6563i | 0.780495 | + | 0.809584i | ||||
\(652\) | −11.4002 | − | 11.4002i | −0.446468 | − | 0.446468i | ||||
\(653\) | 31.6631 | − | 31.6631i | 1.23907 | − | 1.23907i | 0.278695 | − | 0.960380i | \(-0.410098\pi\) |
0.960380 | − | 0.278695i | \(-0.0899017\pi\) | |||||||
\(654\) | −0.346514 | − | 0.600180i | −0.0135498 | − | 0.0234689i | ||||
\(655\) | −6.26933 | − | 2.03713i | −0.244963 | − | 0.0795974i | ||||
\(656\) | −5.81118 | + | 10.0653i | −0.226889 | + | 0.392983i | ||||
\(657\) | −9.85909 | − | 2.64174i | −0.384640 | − | 0.103064i | ||||
\(658\) | −7.29777 | − | 1.95543i | −0.284497 | − | 0.0762307i | ||||
\(659\) | − | 9.08769i | − | 0.354006i | −0.984210 | − | 0.177003i | \(-0.943360\pi\) | ||
0.984210 | − | 0.177003i | \(-0.0566403\pi\) | |||||||
\(660\) | 8.24477 | + | 0.432216i | 0.320927 | + | 0.0168240i | ||||
\(661\) | 11.2705 | − | 19.5211i | 0.438373 | − | 0.759284i | −0.559191 | − | 0.829039i | \(-0.688888\pi\) |
0.997564 | + | 0.0697545i | \(0.0222216\pi\) | |||||||
\(662\) | −1.92310 | − | 7.17712i | −0.0747435 | − | 0.278947i | ||||
\(663\) | 2.28838 | − | 8.54034i | 0.0888732 | − | 0.331679i | ||||
\(664\) | 4.62982 | − | 8.01909i | 0.179672 | − | 0.311201i | ||||
\(665\) | −73.1746 | − | 47.5217i | −2.83759 | − | 1.84281i | ||||
\(666\) | 4.90571i | 0.190093i | ||||||||
\(667\) | 12.4397 | + | 12.4397i | 0.481668 | + | 0.481668i | ||||
\(668\) | 0.903719 | − | 3.37272i | 0.0349659 | − | 0.130495i | ||||
\(669\) | −14.5015 | − | 8.37244i | −0.560660 | − | 0.323697i | ||||
\(670\) | −17.0182 | + | 3.61707i | −0.657471 | + | 0.139739i | ||||
\(671\) | −15.3949 | + | 26.6647i | −0.594313 | + | 1.02938i | ||||
\(672\) | 1.33377 | + | 4.97771i | 0.0514515 | + | 0.192019i | ||||
\(673\) | 35.7472 | − | 9.57843i | 1.37795 | − | 0.369221i | 0.507576 | − | 0.861607i | \(-0.330542\pi\) |
0.870377 | + | 0.492386i | \(0.163875\pi\) | |||||||
\(674\) | 14.6124 | 0.562848 | ||||||||
\(675\) | 3.14648 | + | 3.88583i | 0.121108 | + | 0.149565i | ||||
\(676\) | 11.4955 | + | 19.9107i | 0.442134 | + | 0.765798i | ||||
\(677\) | −8.07146 | − | 30.1231i | −0.310211 | − | 1.15772i | −0.928366 | − | 0.371668i | \(-0.878786\pi\) |
0.618154 | − | 0.786057i | \(-0.287881\pi\) | |||||||
\(678\) | 2.33164 | + | 2.33164i | 0.0895461 | + | 0.0895461i | ||||
\(679\) | −28.8268 | + | 16.6432i | −1.10627 | + | 0.638706i | ||||
\(680\) | −1.01841 | + | 3.13418i | −0.0390542 | + | 0.120190i | ||||
\(681\) | 1.38165i | 0.0529451i | ||||||||
\(682\) | −0.376019 | + | 20.5541i | −0.0143985 | + | 0.787056i | ||||
\(683\) | 23.1618 | − | 23.1618i | 0.886260 | − | 0.886260i | −0.107901 | − | 0.994162i | \(-0.534413\pi\) |
0.994162 | + | 0.107901i | \(0.0344130\pi\) | |||||||
\(684\) | 7.57185i | 0.289517i | ||||||||
\(685\) | −10.8860 | − | 7.06972i | −0.415934 | − | 0.270120i | ||||
\(686\) | −64.7079 | −2.47056 | ||||||||
\(687\) | −3.86300 | + | 1.03509i | −0.147383 | + | 0.0394911i | ||||
\(688\) | 1.29249 | − | 4.82363i | 0.0492756 | − | 0.183899i | ||||
\(689\) | −36.8466 | + | 21.2734i | −1.40374 | + | 0.810452i | ||||
\(690\) | −11.2982 | + | 5.75649i | −0.430114 | + | 0.219146i | ||||
\(691\) | 3.32344 | − | 5.75636i | 0.126429 | − | 0.218982i | −0.795861 | − | 0.605479i | \(-0.792982\pi\) |
0.922291 | + | 0.386497i | \(0.126315\pi\) | |||||||
\(692\) | 8.65355 | − | 2.31871i | 0.328958 | − | 0.0881441i | ||||
\(693\) | 18.3789 | − | 4.92461i | 0.698157 | − | 0.187071i | ||||
\(694\) | 4.62888 | + | 8.01745i | 0.175710 | + | 0.304338i | ||||
\(695\) | −31.2781 | + | 28.1621i | −1.18645 | + | 1.06825i | ||||
\(696\) | 1.55116 | + | 2.68669i | 0.0587966 | + | 0.101839i | ||||
\(697\) | −12.1120 | + | 12.1120i | −0.458773 | + | 0.458773i | ||||
\(698\) | 22.8360 | − | 22.8360i | 0.864355 | − | 0.864355i | ||||
\(699\) | 13.5404 | + | 23.4526i | 0.512144 | + | 0.887059i | ||||
\(700\) | 9.23463 | − | 24.0549i | 0.349036 | − | 0.909188i | ||||
\(701\) | 18.6329 | + | 32.2732i | 0.703756 | + | 1.21894i | 0.967139 | + | 0.254250i | \(0.0818285\pi\) |
−0.263383 | + | 0.964691i | \(0.584838\pi\) | |||||||
\(702\) | 5.79483 | − | 1.55272i | 0.218712 | − | 0.0586036i | ||||
\(703\) | 35.8796 | − | 9.61391i | 1.35323 | − | 0.362596i | ||||
\(704\) | −1.84612 | + | 3.19757i | −0.0695782 | + | 0.120513i | ||||
\(705\) | 1.01309 | − | 3.11781i | 0.0381552 | − | 0.117424i | ||||
\(706\) | −17.2729 | + | 9.97249i | −0.650073 | + | 0.375320i | ||||
\(707\) | −1.14808 | + | 4.28468i | −0.0431778 | + | 0.161142i | ||||
\(708\) | 6.02629 | − | 1.61474i | 0.226482 | − | 0.0606856i | ||||
\(709\) | −38.6782 | −1.45259 | −0.726295 | − | 0.687383i | \(-0.758759\pi\) | ||||
−0.726295 | + | 0.687383i | \(0.758759\pi\) | |||||||
\(710\) | 5.28838 | − | 8.14313i | 0.198469 | − | 0.305606i | ||||
\(711\) | − | 3.22733i | − | 0.121034i | ||||||
\(712\) | 7.99844 | − | 7.99844i | 0.299754 | − | 0.299754i | ||||
\(713\) | −15.2839 | − | 27.6274i | −0.572385 | − | 1.03466i | ||||
\(714\) | 7.59488i | 0.284231i | ||||||||
\(715\) | −44.1322 | + | 22.4856i | −1.65045 | + | 0.840915i | ||||
\(716\) | −0.106783 | + | 0.0616512i | −0.00399067 | + | 0.00230401i | ||||
\(717\) | 13.8011 | + | 13.8011i | 0.515413 | + | 0.515413i | ||||
\(718\) | 3.59920 | + | 13.4324i | 0.134321 | + | 0.501293i | ||||
\(719\) | −14.7879 | − | 25.6133i | −0.551494 | − | 0.955216i | −0.998167 | − | 0.0605184i | \(-0.980725\pi\) |
0.446673 | − | 0.894697i | \(-0.352609\pi\) | |||||||
\(720\) | −2.18721 | + | 0.464871i | −0.0815126 | + | 0.0173247i | ||||
\(721\) | −38.3103 | −1.42675 | ||||||||
\(722\) | 37.0267 | − | 9.92128i | 1.37799 | − | 0.369232i | ||||
\(723\) | 2.66274 | + | 9.93749i | 0.0990285 | + | 0.369579i | ||||
\(724\) | 0.364050 | − | 0.630553i | 0.0135298 | − | 0.0234343i | ||||
\(725\) | 1.62187 | − | 15.4266i | 0.0602349 | − | 0.572929i | ||||
\(726\) | 2.27991 | + | 1.31631i | 0.0846155 | + | 0.0488528i | ||||
\(727\) | 5.49648 | − | 20.5131i | 0.203853 | − | 0.760790i | −0.785943 | − | 0.618299i | \(-0.787822\pi\) |
0.989796 | − | 0.142491i | \(-0.0455112\pi\) | |||||||
\(728\) | −21.8609 | − | 21.8609i | −0.810218 | − | 0.810218i | ||||
\(729\) | − | 1.00000i | − | 0.0370370i | ||||||
\(730\) | −22.3246 | + | 4.74489i | −0.826271 | + | 0.175616i | ||||
\(731\) | 3.67989 | − | 6.37375i | 0.136106 | − | 0.235742i | ||||
\(732\) | 2.15831 | − | 8.05491i | 0.0797733 | − | 0.297718i | ||||
\(733\) | 7.97254 | + | 29.7539i | 0.294473 | + | 1.09899i | 0.941635 | + | 0.336635i | \(0.109289\pi\) |
−0.647163 | + | 0.762352i | \(0.724045\pi\) | |||||||
\(734\) | −7.74526 | + | 13.4152i | −0.285883 | + | 0.495163i | ||||
\(735\) | 2.28931 | − | 43.6699i | 0.0844423 | − | 1.61079i | ||||
\(736\) | − | 5.67073i | − | 0.209026i | ||||||
\(737\) | −27.7496 | − | 7.43548i | −1.02217 | − | 0.273890i | ||||
\(738\) | −11.2263 | − | 3.00809i | −0.413247 | − | 0.110729i | ||||
\(739\) | −5.96943 | + | 10.3394i | −0.219589 | + | 0.380340i | −0.954682 | − | 0.297626i | \(-0.903805\pi\) |
0.735093 | + | 0.677966i | \(0.237138\pi\) | |||||||
\(740\) | 4.97990 | + | 9.77398i | 0.183065 | + | 0.359299i | ||||
\(741\) | −22.7127 | − | 39.3395i | −0.834371 | − | 1.44517i | ||||
\(742\) | 25.8429 | − | 25.8429i | 0.948723 | − | 0.948723i | ||||
\(743\) | 20.7127 | + | 20.7127i | 0.759876 | + | 0.759876i | 0.976300 | − | 0.216423i | \(-0.0694391\pi\) |
−0.216423 | + | 0.976300i | \(0.569439\pi\) | |||||||
\(744\) | −1.34243 | − | 5.40351i | −0.0492159 | − | 0.198102i | ||||
\(745\) | 0.354415 | − | 1.09072i | 0.0129848 | − | 0.0399609i | ||||
\(746\) | −5.52336 | −0.202225 | ||||||||
\(747\) | 8.94413 | + | 2.39657i | 0.327249 | + | 0.0876860i | ||||
\(748\) | −3.84777 | + | 3.84777i | −0.140688 | + | 0.140688i | ||||
\(749\) | 41.4684 | + | 23.9418i | 1.51522 | + | 0.874815i | ||||
\(750\) | 10.2135 | + | 4.54792i | 0.372946 | + | 0.166067i | ||||
\(751\) | 25.1181 | + | 43.5059i | 0.916573 | + | 1.58755i | 0.804581 | + | 0.593843i | \(0.202390\pi\) |
0.111992 | + | 0.993709i | \(0.464277\pi\) | |||||||
\(752\) | 1.03668 | + | 1.03668i | 0.0378039 | + | 0.0378039i | ||||
\(753\) | −3.72296 | − | 13.8943i | −0.135672 | − | 0.506335i | ||||
\(754\) | −16.1181 | − | 9.30580i | −0.586987 | − | 0.338897i | ||||
\(755\) | 9.89544 | + | 10.9903i | 0.360132 | + | 0.399979i | ||||
\(756\) | −4.46290 | + | 2.57665i | −0.162314 | + | 0.0937120i | ||||
\(757\) | −3.01090 | − | 11.2368i | −0.109433 | − | 0.408410i | 0.889377 | − | 0.457174i | \(-0.151138\pi\) |
−0.998810 | + | 0.0487642i | \(0.984472\pi\) | |||||||
\(758\) | −36.6330 | − | 9.81579i | −1.33057 | − | 0.356525i | ||||
\(759\) | −20.9377 | −0.759989 | ||||||||
\(760\) | 7.68636 | + | 15.0859i | 0.278814 | + | 0.547223i | ||||
\(761\) | −7.58040 | + | 4.37655i | −0.274789 | + | 0.158650i | −0.631062 | − | 0.775732i | \(-0.717381\pi\) |
0.356273 | + | 0.934382i | \(0.384047\pi\) | |||||||
\(762\) | −1.96344 | + | 0.526103i | −0.0711280 | + | 0.0190587i | ||||
\(763\) | −3.44969 | − | 0.924343i | −0.124887 | − | 0.0334635i | ||||
\(764\) | 14.2449 | + | 8.22429i | 0.515362 | + | 0.297544i | ||||
\(765\) | −3.29097 | − | 0.172522i | −0.118985 | − | 0.00623756i | ||||
\(766\) | −11.8006 | − | 6.81307i | −0.426372 | − | 0.246166i | ||||
\(767\) | −26.4660 | + | 26.4660i | −0.955631 | + | 0.955631i | ||||
\(768\) | 0.258819 | − | 0.965926i | 0.00933933 | − | 0.0348548i | ||||
\(769\) | −10.7378 | + | 6.19949i | −0.387216 | + | 0.223559i | −0.680953 | − | 0.732327i | \(-0.738434\pi\) |
0.293737 | + | 0.955886i | \(0.405101\pi\) | |||||||
\(770\) | 31.6184 | − | 28.4685i | 1.13945 | − | 1.02593i | ||||
\(771\) | 7.42468i | 0.267393i | ||||||||
\(772\) | 3.32748 | − | 12.4183i | 0.119759 | − | 0.446946i | ||||
\(773\) | −28.8341 | − | 28.8341i | −1.03709 | − | 1.03709i | −0.999285 | − | 0.0378045i | \(-0.987964\pi\) |
−0.0378045 | − | 0.999285i | \(-0.512036\pi\) | |||||||
\(774\) | 4.99379 | 0.179498 | ||||||||
\(775\) | −10.4510 | + | 25.8026i | −0.375412 | + | 0.926858i | ||||
\(776\) | 6.45922 | 0.231872 | ||||||||
\(777\) | 17.8761 | + | 17.8761i | 0.641302 | + | 0.641302i | ||||
\(778\) | 6.81344 | − | 25.4281i | 0.244274 | − | 0.911642i | ||||
\(779\) | 88.0028i | 3.15303i | ||||||||
\(780\) | 9.96922 | − | 8.97605i | 0.356955 | − | 0.321394i | ||||
\(781\) | 13.8848 | − | 8.01639i | 0.496837 | − | 0.286849i | ||||
\(782\) | 2.16307 | − | 8.07267i | 0.0773511 | − | 0.288678i | ||||
\(783\) | −2.19367 | + | 2.19367i | −0.0783955 | + | 0.0783955i | ||||
\(784\) | 16.9365 | + | 9.77829i | 0.604875 | + | 0.349225i | ||||
\(785\) | 16.6088 | + | 0.870683i | 0.592794 | + | 0.0310760i | ||||
\(786\) | 2.55307 | + | 1.47402i | 0.0910650 | + | 0.0525764i | ||||
\(787\) | −2.70347 | − | 0.724394i | −0.0963684 | − | 0.0258218i | 0.210313 | − | 0.977634i | \(-0.432552\pi\) |
−0.306681 | + | 0.951812i | \(0.599218\pi\) | |||||||
\(788\) | −3.28116 | + | 0.879184i | −0.116886 | + | 0.0313196i | ||||
\(789\) | 23.8657 | − | 13.7789i | 0.849640 | − | 0.490540i | ||||
\(790\) | −3.27614 | − | 6.43003i | −0.116560 | − | 0.228770i | ||||
\(791\) | 16.9927 | 0.604191 | ||||||||
\(792\) | −3.56643 | − | 0.955621i | −0.126727 | − | 0.0339565i | ||||
\(793\) | 12.9482 | + | 48.3234i | 0.459804 | + | 1.71601i | ||||
\(794\) | 18.3855 | − | 10.6148i | 0.652475 | − | 0.376707i | ||||
\(795\) | 10.6111 | + | 11.7851i | 0.376336 | + | 0.417976i | ||||
\(796\) | −2.66602 | − | 1.53922i | −0.0944944 | − | 0.0545564i | ||||
\(797\) | 12.5655 | + | 46.8951i | 0.445093 | + | 1.66111i | 0.715690 | + | 0.698418i | \(0.246112\pi\) |
−0.270597 | + | 0.962693i | \(0.587221\pi\) | |||||||
\(798\) | 27.5914 | + | 27.5914i | 0.976723 | + | 0.976723i | ||||
\(799\) | 1.08035 | + | 1.87122i | 0.0382201 | + | 0.0661992i | ||||
\(800\) | −3.88583 | + | 3.14648i | −0.137385 | + | 0.111245i | ||||
\(801\) | 9.79605 | + | 5.65575i | 0.346126 | + | 0.199836i | ||||
\(802\) | −10.5740 | + | 10.5740i | −0.373382 | + | 0.373382i | ||||
\(803\) | −36.4021 | − | 9.75392i | −1.28460 | − | 0.344208i | ||||
\(804\) | 7.78079 | 0.274407 | ||||||||
\(805\) | −20.1935 | + | 62.1461i | −0.711729 | + | 2.19036i | ||||
\(806\) | 23.1831 | + | 24.0471i | 0.816589 | + | 0.847024i | ||||
\(807\) | 9.34088 | + | 9.34088i | 0.328815 | + | 0.328815i | ||||
\(808\) | 0.608658 | − | 0.608658i | 0.0214125 | − | 0.0214125i | ||||
\(809\) | −24.5450 | − | 42.5132i | −0.862956 | − | 1.49468i | −0.869062 | − | 0.494703i | \(-0.835277\pi\) |
0.00610572 | − | 0.999981i | \(-0.498056\pi\) | |||||||
\(810\) | −1.01512 | − | 1.99237i | −0.0356678 | − | 0.0700046i | ||||
\(811\) | −1.53124 | + | 2.65219i | −0.0537692 | + | 0.0931310i | −0.891657 | − | 0.452711i | \(-0.850457\pi\) |
0.837888 | + | 0.545842i | \(0.183790\pi\) | |||||||
\(812\) | 15.4425 | + | 4.13780i | 0.541925 | + | 0.145208i | ||||
\(813\) | −5.16316 | − | 1.38347i | −0.181080 | − | 0.0485203i | ||||
\(814\) | 18.1131i | 0.634862i | ||||||||
\(815\) | 1.88730 | − | 36.0013i | 0.0661091 | − | 1.26107i | ||||
\(816\) | 0.736894 | − | 1.27634i | 0.0257964 | − | 0.0446807i | ||||
\(817\) | −9.78651 | − | 36.5238i | −0.342387 | − | 1.27780i | ||||
\(818\) | 4.78737 | − | 17.8667i | 0.167387 | − | 0.624695i | ||||
\(819\) | 15.4580 | − | 26.7740i | 0.540146 | − | 0.935559i | ||||
\(820\) | −25.4206 | + | 5.40291i | −0.887725 | + | 0.188678i | ||||
\(821\) | 17.8229i | 0.622023i | 0.950406 | + | 0.311012i | \(0.100668\pi\) | ||||
−0.950406 | + | 0.311012i | \(0.899332\pi\) | |||||||
\(822\) | 4.10471 | + | 4.10471i | 0.143168 | + | 0.143168i | ||||
\(823\) | −1.04403 | + | 3.89636i | −0.0363924 | + | 0.135818i | −0.981732 | − | 0.190269i | \(-0.939064\pi\) |
0.945339 | + | 0.326088i | \(0.105731\pi\) | |||||||
\(824\) | 6.43814 | + | 3.71706i | 0.224283 | + | 0.129490i | ||||
\(825\) | 11.6176 | + | 14.3474i | 0.404472 | + | 0.499512i | ||||
\(826\) | 16.0754 | − | 27.8434i | 0.559335 | − | 0.968797i | ||||
\(827\) | 12.4144 | + | 46.3313i | 0.431692 | + | 1.61110i | 0.748860 | + | 0.662728i | \(0.230601\pi\) |
−0.317168 | + | 0.948369i | \(0.602732\pi\) | |||||||
\(828\) | 5.47750 | − | 1.46769i | 0.190356 | − | 0.0510058i | ||||
\(829\) | 30.8205 | 1.07044 | 0.535220 | − | 0.844713i | \(-0.320229\pi\) | ||||
0.535220 | + | 0.844713i | \(0.320229\pi\) | |||||||
\(830\) | 20.2528 | − | 4.30455i | 0.702985 | − | 0.149413i | ||||
\(831\) | −2.51196 | − | 4.35085i | −0.0871391 | − | 0.150929i | ||||
\(832\) | 1.55272 | + | 5.79483i | 0.0538308 | + | 0.200899i | ||||
\(833\) | 20.3804 | + | 20.3804i | 0.706139 | + | 0.706139i | ||||
\(834\) | 16.3007 | − | 9.41122i | 0.564447 | − | 0.325884i | ||||
\(835\) | 6.95675 | − | 3.54451i | 0.240748 | − | 0.122663i | ||||
\(836\) | 27.9571i | 0.966915i | ||||||||
\(837\) | 4.87194 | − | 2.69522i | 0.168399 | − | 0.0931604i | ||||
\(838\) | 25.5748 | − | 25.5748i | 0.883468 | − | 0.883468i | ||||
\(839\) | − | 39.8058i | − | 1.37425i | −0.726540 | − | 0.687124i | \(-0.758873\pi\) | ||
0.726540 | − | 0.687124i | \(-0.241127\pi\) | |||||||
\(840\) | −6.27610 | + | 9.66403i | −0.216546 | + | 0.333441i | ||||
\(841\) | −19.3756 | −0.668124 | ||||||||
\(842\) | 31.1230 | − | 8.33938i | 1.07257 | − | 0.287394i | ||||
\(843\) | 3.36217 | − | 12.5478i | 0.115799 | − | 0.432169i | ||||
\(844\) | 6.63068 | − | 3.82823i | 0.228237 | − | 0.131773i | ||||
\(845\) | −15.8871 | + | 48.8929i | −0.546533 | + | 1.68197i | ||||
\(846\) | −0.733045 | + | 1.26967i | −0.0252026 | + | 0.0436522i | ||||
\(847\) | 13.1044 | − | 3.51132i | 0.450273 | − | 0.120650i | ||||
\(848\) | −6.85037 | + | 1.83555i | −0.235243 | + | 0.0630331i | ||||
\(849\) | 13.7693 | + | 23.8491i | 0.472560 | + | 0.818498i | ||||
\(850\) | −6.73195 | + | 2.99701i | −0.230904 | + | 0.102797i | ||||
\(851\) | −13.9095 | − | 24.0919i | −0.476811 | − | 0.825861i | ||||
\(852\) | −3.07046 | + | 3.07046i | −0.105192 | + | 0.105192i | ||||
\(853\) | −7.19160 | + | 7.19160i | −0.246236 | + | 0.246236i | −0.819424 | − | 0.573188i | \(-0.805706\pi\) |
0.573188 | + | 0.819424i | \(0.305706\pi\) | |||||||
\(854\) | −21.4869 | − | 37.2163i | −0.735265 | − | 1.27352i | ||||
\(855\) | −12.5825 | + | 11.3290i | −0.430312 | + | 0.387443i | ||||
\(856\) | −4.64591 | − | 8.04695i | −0.158794 | − | 0.275039i | ||||
\(857\) | −17.4237 | + | 4.66866i | −0.595182 | + | 0.159478i | −0.543820 | − | 0.839202i | \(-0.683023\pi\) |
−0.0513614 | + | 0.998680i | \(0.516356\pi\) | |||||||
\(858\) | 21.3959 | − | 5.73301i | 0.730443 | − | 0.195722i | ||||
\(859\) | −5.86254 | + | 10.1542i | −0.200027 | + | 0.346458i | −0.948537 | − | 0.316666i | \(-0.897436\pi\) |
0.748510 | + | 0.663124i | \(0.230770\pi\) | |||||||
\(860\) | 9.94945 | − | 5.06931i | 0.339273 | − | 0.172862i | ||||
\(861\) | −51.8694 | + | 29.9468i | −1.76770 | + | 1.02058i | ||||
\(862\) | 5.90760 | − | 22.0474i | 0.201214 | − | 0.750939i | ||||
\(863\) | −7.98635 | + | 2.13993i | −0.271858 | + | 0.0728442i | −0.392173 | − | 0.919892i | \(-0.628276\pi\) |
0.120314 | + | 0.992736i | \(0.461610\pi\) | |||||||
\(864\) | 1.00000 | 0.0340207 | ||||||||
\(865\) | 16.8005 | + | 10.9107i | 0.571234 | + | 0.370976i | ||||
\(866\) | 16.2281i | 0.551453i | ||||||||
\(867\) | −10.4849 | + | 10.4849i | −0.356087 | + | 0.356087i | ||||
\(868\) | −24.5818 | − | 14.7983i | −0.834360 | − | 0.502287i | ||||
\(869\) | − | 11.9161i | − | 0.404225i | ||||||
\(870\) | −2.14375 | + | 6.59745i | −0.0726800 | + | 0.223675i | ||||
\(871\) | −40.4251 | + | 23.3394i | −1.36975 | + | 0.790826i | ||||
\(872\) | 0.490045 | + | 0.490045i | 0.0165950 | + | 0.0165950i | ||||
\(873\) | 1.67177 | + | 6.23913i | 0.0565808 | + | 0.211162i | ||||
\(874\) | −21.4689 | − | 37.1853i | −0.726198 | − | 1.25781i | ||||
\(875\) | 53.7899 | − | 20.6452i | 1.81843 | − | 0.697935i | ||||
\(876\) | 10.2069 | 0.344859 | ||||||||
\(877\) | −11.6095 | + | 3.11076i | −0.392026 | + | 0.105043i | −0.449447 | − | 0.893307i | \(-0.648379\pi\) |
0.0574212 | + | 0.998350i | \(0.481712\pi\) | |||||||
\(878\) | 4.91377 | + | 18.3384i | 0.165832 | + | 0.618892i | ||||
\(879\) | −15.2158 | + | 26.3546i | −0.513217 | + | 0.888917i | ||||
\(880\) | −8.07570 | + | 1.71642i | −0.272232 | + | 0.0578604i | ||||
\(881\) | −29.6226 | − | 17.1026i | −0.998011 | − | 0.576202i | −0.0903518 | − | 0.995910i | \(-0.528799\pi\) |
−0.907659 | + | 0.419708i | \(0.862132\pi\) | |||||||
\(882\) | −5.06162 | + | 18.8902i | −0.170433 | + | 0.636066i | ||||
\(883\) | −34.6952 | − | 34.6952i | −1.16759 | − | 1.16759i | −0.982774 | − | 0.184813i | \(-0.940832\pi\) |
−0.184813 | − | 0.982774i | \(-0.559168\pi\) | |||||||
\(884\) | 8.84161i | 0.297376i | ||||||||
\(885\) | 11.6998 | + | 7.59819i | 0.393284 | + | 0.255410i | ||||
\(886\) | −1.35971 | + | 2.35509i | −0.0456804 | + | 0.0791209i | ||||
\(887\) | −5.88741 | + | 21.9721i | −0.197680 | + | 0.737751i | 0.793877 | + | 0.608078i | \(0.208059\pi\) |
−0.991557 | + | 0.129673i | \(0.958607\pi\) | |||||||
\(888\) | −1.26969 | − | 4.73855i | −0.0426081 | − | 0.159015i | ||||
\(889\) | −5.23758 | + | 9.07175i | −0.175663 | + | 0.304257i | ||||
\(890\) | 25.2586 | + | 1.32413i | 0.846670 | + | 0.0443850i | ||||
\(891\) | − | 3.69224i | − | 0.123695i | ||||||
\(892\) | 16.1743 | + | 4.33389i | 0.541556 | + | 0.145109i | ||||
\(893\) | 10.7228 | + | 2.87315i | 0.358823 | + | 0.0961464i | ||||
\(894\) | −0.256445 | + | 0.444176i | −0.00857681 | + | 0.0148555i | ||||
\(895\) | −0.262217 | − | 0.0852039i | −0.00876495 | − | 0.00284805i | ||||
\(896\) | −2.57665 | − | 4.46290i | −0.0860800 | − | 0.149095i | ||||
\(897\) | −24.0558 | + | 24.0558i | −0.803201 | + | 0.803201i | ||||
\(898\) | 20.9207 | + | 20.9207i | 0.698134 | + | 0.698134i | ||||
\(899\) | −16.5999 | − | 4.77501i | −0.553637 | − | 0.159256i | ||||
\(900\) | −4.04500 | − | 2.93905i | −0.134833 | − | 0.0979683i | ||||
\(901\) | −10.4521 | −0.348211 | ||||||||
\(902\) | −41.4503 | − | 11.1066i | −1.38014 | − | 0.369809i | ||||
\(903\) | 18.1970 | − | 18.1970i | 0.605560 | − | 0.605560i | ||||
\(904\) | −2.85567 | − | 1.64872i | −0.0949780 | − | 0.0548356i | ||||
\(905\) | 1.59251 | − | 0.338473i | 0.0529368 | − | 0.0112512i | ||||
\(906\) | −3.30687 | − | 5.72766i | −0.109863 | − | 0.190289i | ||||
\(907\) | 38.2934 | + | 38.2934i | 1.27151 | + | 1.27151i | 0.945295 | + | 0.326217i | \(0.105774\pi\) |
0.326217 | + | 0.945295i | \(0.394226\pi\) | |||||||
\(908\) | −0.357599 | − | 1.33458i | −0.0118673 | − | 0.0442895i | ||||
\(909\) | 0.745451 | + | 0.430386i | 0.0247250 | + | 0.0142750i | ||||
\(910\) | 3.61904 | − | 69.0354i | 0.119970 | − | 2.28850i | ||||
\(911\) | 4.04169 | − | 2.33347i | 0.133907 | − | 0.0773113i | −0.431550 | − | 0.902089i | \(-0.642033\pi\) |
0.565457 | + | 0.824778i | \(0.308700\pi\) | |||||||
\(912\) | −1.95974 | − | 7.31384i | −0.0648934 | − | 0.242186i | ||||
\(913\) | 33.0239 | + | 8.84872i | 1.09293 | + | 0.292850i | ||||
\(914\) | −16.8399 | −0.557015 | ||||||||
\(915\) | 16.6144 | − | 8.46517i | 0.549257 | − | 0.279850i | ||||
\(916\) | 3.46347 | − | 1.99964i | 0.114436 | − | 0.0660699i | ||||
\(917\) | 14.6744 | − | 3.93201i | 0.484593 | − | 0.129846i | ||||
\(918\) | 1.42357 | + | 0.381444i | 0.0469848 | + | 0.0125895i | ||||
\(919\) | −11.0139 | − | 6.35886i | −0.363314 | − | 0.209759i | 0.307220 | − | 0.951639i | \(-0.400601\pi\) |
−0.670533 | + | 0.741879i | \(0.733935\pi\) | |||||||
\(920\) | 9.42330 | − | 8.48452i | 0.310677 | − | 0.279726i | ||||
\(921\) | 3.36385 | + | 1.94212i | 0.110843 | + | 0.0639951i | ||||
\(922\) | −13.5861 | + | 13.5861i | −0.447433 | + | 0.447433i | ||||
\(923\) | 6.74236 | − | 25.1628i | 0.221927 | − | 0.828245i | ||||
\(924\) | −16.4781 | + | 9.51362i | −0.542089 | + | 0.312975i | ||||
\(925\) | −8.79095 | + | 22.8991i | −0.289045 | + | 0.752918i | ||||
\(926\) | − | 7.15198i | − | 0.235029i | ||||||
\(927\) | −1.92409 | + | 7.18081i | −0.0631955 | + | 0.235849i | ||||
\(928\) | −2.19367 | − | 2.19367i | −0.0720109 | − | 0.0720109i | ||||
\(929\) | 26.5995 | 0.872702 | 0.436351 | − | 0.899776i | \(-0.356271\pi\) | ||||
0.436351 | + | 0.899776i | \(0.356271\pi\) | |||||||
\(930\) | 6.97071 | − | 10.3155i | 0.228578 | − | 0.338258i | ||||
\(931\) | 148.079 | 4.85311 | ||||||||
\(932\) | −19.1490 | − | 19.1490i | −0.627246 | − | 0.627246i | ||||
\(933\) | −2.72061 | + | 10.1534i | −0.0890687 | + | 0.332409i | ||||
\(934\) | 5.59606i | 0.183109i | ||||||||
\(935\) | −12.1510 | − | 0.636994i | −0.397381 | − | 0.0208319i | ||||
\(936\) | −5.19550 | + | 2.99962i | −0.169820 | + | 0.0980457i | ||||
\(937\) | 7.68956 | − | 28.6978i | 0.251207 | − | 0.937517i | −0.718955 | − | 0.695057i | \(-0.755379\pi\) |
0.970161 | − | 0.242460i | \(-0.0779542\pi\) | |||||||
\(938\) | 28.3527 | − | 28.3527i | 0.925749 | − | 0.925749i | ||||
\(939\) | 2.43157 | + | 1.40387i | 0.0793514 | + | 0.0458136i | ||||
\(940\) | −0.171621 | + | 3.27378i | −0.00559767 | + | 0.106779i | ||||
\(941\) | 50.2404 | + | 29.0063i | 1.63779 | + | 0.945579i | 0.981592 | + | 0.190992i | \(0.0611706\pi\) |
0.656200 | + | 0.754587i | \(0.272163\pi\) | |||||||
\(942\) | −7.18444 | − | 1.92507i | −0.234082 | − | 0.0627220i | ||||
\(943\) | 63.6615 | − | 17.0581i | 2.07310 | − | 0.555487i | ||||
\(944\) | −5.40302 | + | 3.11944i | −0.175853 | + | 0.101529i | ||||
\(945\) | −10.9591 | − | 3.56101i | −0.356500 | − | 0.115840i | ||||
\(946\) | 18.4382 | 0.599479 | ||||||||
\(947\) | −45.9178 | − | 12.3036i | −1.49213 | − | 0.399815i | −0.581673 | − | 0.813423i | \(-0.697602\pi\) |
−0.910455 | + | 0.413608i | \(0.864268\pi\) | |||||||
\(948\) | 0.835295 | + | 3.11736i | 0.0271291 | + | 0.101247i | ||||
\(949\) | −53.0298 | + | 30.6168i | −1.72142 | + | 0.993863i | ||||
\(950\) | −13.5686 | + | 35.3442i | −0.440224 | + | 1.14672i | ||||
\(951\) | −22.0964 | − | 12.7574i | −0.716525 | − | 0.413686i | ||||
\(952\) | −1.96570 | − | 7.33609i | −0.0637087 | − | 0.237764i | ||||
\(953\) | 23.2207 | + | 23.2207i | 0.752191 | + | 0.752191i | 0.974888 | − | 0.222696i | \(-0.0714859\pi\) |
−0.222696 | + | 0.974888i | \(0.571486\pi\) | |||||||
\(954\) | −3.54601 | − | 6.14188i | −0.114806 | − | 0.198851i | ||||
\(955\) | 7.64648 | + | 35.9765i | 0.247434 | + | 1.16417i | ||||
\(956\) | −16.9029 | − | 9.75887i | −0.546678 | − | 0.315624i | ||||
\(957\) | −8.09957 | + | 8.09957i | −0.261822 | + | 0.261822i | ||||
\(958\) | 11.8759 | + | 3.18214i | 0.383694 | + | 0.102810i | ||||
\(959\) | 29.9147 | 0.965995 | ||||||||
\(960\) | 1.99237 | − | 1.01512i | 0.0643034 | − | 0.0327630i | ||||
\(961\) | 26.2619 | + | 16.4716i | 0.847158 | + | 0.531341i | ||||
\(962\) | 20.8106 | + | 20.8106i | 0.670959 | + | 0.670959i | ||||
\(963\) | 6.57031 | − | 6.57031i | 0.211725 | − | 0.211725i | ||||
\(964\) | −5.14403 | − | 8.90971i | −0.165678 | − | 0.286963i | ||||
\(965\) | 25.6147 | − | 13.0508i | 0.824565 | − | 0.420121i | ||||
\(966\) | 14.6115 | − | 25.3079i | 0.470117 | − | 0.814267i | ||||
\(967\) | 34.7021 | + | 9.29840i | 1.11594 | + | 0.299016i | 0.769241 | − | 0.638959i | \(-0.220635\pi\) |
0.346703 | + | 0.937975i | \(0.387301\pi\) | |||||||
\(968\) | −2.54291 | − | 0.681371i | −0.0817323 | − | 0.0219001i | ||||
\(969\) | − | 11.1593i | − | 0.358488i | ||||||
\(970\) | 9.66426 | + | 10.7336i | 0.310301 | + | 0.344634i | ||||
\(971\) | −2.51374 | + | 4.35393i | −0.0806698 | + | 0.139724i | −0.903538 | − | 0.428508i | \(-0.859039\pi\) |
0.822868 | + | 0.568233i | \(0.192373\pi\) | |||||||
\(972\) | 0.258819 | + | 0.965926i | 0.00830162 | + | 0.0309821i | ||||
\(973\) | 25.1049 | − | 93.6927i | 0.804826 | − | 3.00365i | ||||
\(974\) | 7.26073 | − | 12.5759i | 0.232649 | − | 0.402959i | ||||
\(975\) | 29.8318 | + | 3.13636i | 0.955382 | + | 0.100444i | ||||
\(976\) | 8.33905i | 0.266927i | ||||||||
\(977\) | 14.8656 | + | 14.8656i | 0.475594 | + | 0.475594i | 0.903719 | − | 0.428125i | \(-0.140826\pi\) |
−0.428125 | + | 0.903719i | \(0.640826\pi\) | |||||||
\(978\) | −4.17278 | + | 15.5730i | −0.133431 | + | 0.497970i | ||||
\(979\) | 36.1693 | + | 20.8824i | 1.15598 | + | 0.667403i | ||||
\(980\) | 9.09130 | + | 42.7744i | 0.290411 | + | 1.36638i | ||||
\(981\) | −0.346514 | + | 0.600180i | −0.0110633 | + | 0.0191623i | ||||
\(982\) | −9.94432 | − | 37.1127i | −0.317336 | − | 1.18431i | ||||
\(983\) | 15.5795 | − | 4.17452i | 0.496910 | − | 0.133147i | −0.00165556 | − | 0.999999i | \(-0.500527\pi\) |
0.498566 | + | 0.866852i | \(0.333860\pi\) | |||||||
\(984\) | 11.6224 | 0.370507 | ||||||||
\(985\) | −6.37024 | − | 4.13702i | −0.202973 | − | 0.131816i | ||||
\(986\) | −2.28608 | − | 3.95961i | −0.0728037 | − | 0.126100i | ||||
\(987\) | 1.95543 | + | 7.29777i | 0.0622421 | + | 0.232291i | ||||
\(988\) | 32.1206 | + | 32.1206i | 1.02189 | + | 1.02189i | ||||
\(989\) | −24.5244 | + | 14.1592i | −0.779832 | + | 0.450236i | ||||
\(990\) | −3.74808 | − | 7.35629i | −0.119122 | − | 0.233798i | ||||
\(991\) | − | 35.6234i | − | 1.13161i | −0.824537 | − | 0.565807i | \(-0.808565\pi\) | ||
0.824537 | − | 0.565807i | \(-0.191435\pi\) | |||||||
\(992\) | 2.69522 | + | 4.87194i | 0.0855733 | + | 0.154684i | ||||
\(993\) | −5.25401 | + | 5.25401i | −0.166731 | + | 0.166731i | ||||
\(994\) | 22.3772i | 0.709761i | ||||||||
\(995\) | −1.43108 | − | 6.73322i | −0.0453684 | − | 0.213457i | ||||
\(996\) | −9.25965 | −0.293403 | ||||||||
\(997\) | 42.6512 | − | 11.4284i | 1.35078 | − | 0.361940i | 0.490356 | − | 0.871522i | \(-0.336867\pi\) |
0.860422 | + | 0.509582i | \(0.170200\pi\) | |||||||
\(998\) | −2.83007 | + | 10.5620i | −0.0895844 | + | 0.334334i | ||||
\(999\) | 4.24847 | − | 2.45286i | 0.134416 | − | 0.0776049i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 930.2.be.a.37.10 | ✓ | 64 | |
5.3 | odd | 4 | 930.2.be.b.223.12 | yes | 64 | ||
31.26 | odd | 6 | 930.2.be.b.367.12 | yes | 64 | ||
155.88 | even | 12 | inner | 930.2.be.a.553.10 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.be.a.37.10 | ✓ | 64 | 1.1 | even | 1 | trivial | |
930.2.be.a.553.10 | yes | 64 | 155.88 | even | 12 | inner | |
930.2.be.b.223.12 | yes | 64 | 5.3 | odd | 4 | ||
930.2.be.b.367.12 | yes | 64 | 31.26 | odd | 6 |