Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [162,2,Mod(7,162)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(162, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("162.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 162 = 2 \cdot 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 162.g (of order \(27\), degree \(18\), 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: | \(1.29357651274\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{27})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{27}]$ |
Embedding invariants
Embedding label | 151.4 | ||
Character | \(\chi\) | \(=\) | 162.151 |
Dual form | 162.2.g.a.103.4 |
$q$-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 \(\left(\mathbb{Z}/162\mathbb{Z}\right)^\times\).
\(n\) | \(83\) |
\(\chi(n)\) | \(e\left(\frac{20}{27}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.686242 | − | 0.727374i | 0.485246 | − | 0.514331i | ||||
\(3\) | 1.65061 | − | 0.524883i | 0.952977 | − | 0.303041i | ||||
\(4\) | −0.0581448 | − | 0.998308i | −0.0290724 | − | 0.499154i | ||||
\(5\) | −1.97104 | − | 0.230382i | −0.881477 | − | 0.103030i | −0.336701 | − | 0.941612i | \(-0.609311\pi\) |
−0.544776 | + | 0.838582i | \(0.683385\pi\) | |||||||
\(6\) | 0.750928 | − | 1.56080i | 0.306565 | − | 0.637195i | ||||
\(7\) | 0.868864 | − | 0.436360i | 0.328400 | − | 0.164928i | −0.276958 | − | 0.960882i | \(-0.589326\pi\) |
0.605358 | + | 0.795954i | \(0.293030\pi\) | |||||||
\(8\) | −0.766044 | − | 0.642788i | −0.270838 | − | 0.227260i | ||||
\(9\) | 2.44900 | − | 1.73275i | 0.816332 | − | 0.577583i | ||||
\(10\) | −1.52019 | + | 1.27559i | −0.480725 | + | 0.403376i | ||||
\(11\) | −1.12994 | + | 2.61950i | −0.340690 | + | 0.789809i | 0.658613 | + | 0.752482i | \(0.271143\pi\) |
−0.999303 | + | 0.0373267i | \(0.988116\pi\) | |||||||
\(12\) | −0.619969 | − | 1.61729i | −0.178970 | − | 0.466872i | ||||
\(13\) | 1.19896 | − | 0.284159i | 0.332532 | − | 0.0788116i | −0.0609580 | − | 0.998140i | \(-0.519416\pi\) |
0.393490 | + | 0.919329i | \(0.371267\pi\) | |||||||
\(14\) | 0.278854 | − | 0.931437i | 0.0745268 | − | 0.248937i | ||||
\(15\) | −3.37434 | + | 0.654298i | −0.871250 | + | 0.168939i | ||||
\(16\) | −0.993238 | + | 0.116093i | −0.248310 | + | 0.0290232i | ||||
\(17\) | 0.944814 | + | 5.35831i | 0.229151 | + | 1.29958i | 0.854588 | + | 0.519306i | \(0.173810\pi\) |
−0.625437 | + | 0.780275i | \(0.715079\pi\) | |||||||
\(18\) | 0.420246 | − | 2.97042i | 0.0990529 | − | 0.700135i | ||||
\(19\) | −0.724393 | + | 4.10824i | −0.166187 | + | 0.942494i | 0.781645 | + | 0.623724i | \(0.214381\pi\) |
−0.947832 | + | 0.318770i | \(0.896730\pi\) | |||||||
\(20\) | −0.115386 | + | 1.98110i | −0.0258011 | + | 0.442988i | ||||
\(21\) | 1.20511 | − | 1.17631i | 0.262977 | − | 0.256692i | ||||
\(22\) | 1.12994 | + | 2.61950i | 0.240904 | + | 0.558479i | ||||
\(23\) | −5.83149 | − | 2.92869i | −1.21595 | − | 0.610673i | −0.279052 | − | 0.960276i | \(-0.590020\pi\) |
−0.936898 | + | 0.349603i | \(0.886317\pi\) | |||||||
\(24\) | −1.60183 | − | 0.658905i | −0.326971 | − | 0.134498i | ||||
\(25\) | −1.03329 | − | 0.244894i | −0.206658 | − | 0.0489788i | ||||
\(26\) | 0.616088 | − | 1.06710i | 0.120825 | − | 0.209275i | ||||
\(27\) | 3.13283 | − | 4.14552i | 0.602914 | − | 0.797806i | ||||
\(28\) | −0.486141 | − | 0.842022i | −0.0918721 | − | 0.159127i | ||||
\(29\) | 1.00971 | + | 3.37266i | 0.187498 | + | 0.626287i | 0.999114 | + | 0.0420949i | \(0.0134032\pi\) |
−0.811616 | + | 0.584192i | \(0.801412\pi\) | |||||||
\(30\) | −1.83969 | + | 2.90341i | −0.335880 | + | 0.530088i | ||||
\(31\) | 7.08842 | − | 4.66213i | 1.27312 | − | 0.837343i | 0.280645 | − | 0.959812i | \(-0.409452\pi\) |
0.992472 | + | 0.122469i | \(0.0390811\pi\) | |||||||
\(32\) | −0.597159 | + | 0.802123i | −0.105564 | + | 0.141797i | ||||
\(33\) | −0.490156 | + | 4.91685i | −0.0853252 | + | 0.855913i | ||||
\(34\) | 4.54586 | + | 2.98986i | 0.779609 | + | 0.512757i | ||||
\(35\) | −1.81310 | + | 0.659913i | −0.306469 | + | 0.111546i | ||||
\(36\) | −1.87221 | − | 2.34410i | −0.312036 | − | 0.390684i | ||||
\(37\) | −3.74261 | − | 1.36220i | −0.615281 | − | 0.223944i | 0.0155313 | − | 0.999879i | \(-0.495056\pi\) |
−0.630812 | + | 0.775935i | \(0.717278\pi\) | |||||||
\(38\) | 2.49111 | + | 3.34615i | 0.404112 | + | 0.542817i | ||||
\(39\) | 1.82986 | − | 1.09835i | 0.293013 | − | 0.175877i | ||||
\(40\) | 1.36182 | + | 1.44344i | 0.215323 | + | 0.228229i | ||||
\(41\) | −6.52714 | − | 6.91836i | −1.01937 | − | 1.08047i | −0.996737 | − | 0.0807225i | \(-0.974277\pi\) |
−0.0226309 | − | 0.999744i | \(-0.507204\pi\) | |||||||
\(42\) | −0.0286179 | − | 1.68380i | −0.00441584 | − | 0.259816i | ||||
\(43\) | 6.25458 | + | 8.40136i | 0.953815 | + | 1.28120i | 0.959645 | + | 0.281213i | \(0.0907368\pi\) |
−0.00583023 | + | 0.999983i | \(0.501856\pi\) | |||||||
\(44\) | 2.68077 | + | 0.975719i | 0.404141 | + | 0.147095i | ||||
\(45\) | −5.22627 | + | 2.85112i | −0.779086 | + | 0.425020i | ||||
\(46\) | −6.13206 | + | 2.23189i | −0.904123 | + | 0.329074i | ||||
\(47\) | −3.54890 | − | 2.33415i | −0.517660 | − | 0.340470i | 0.263645 | − | 0.964620i | \(-0.415075\pi\) |
−0.781305 | + | 0.624149i | \(0.785446\pi\) | |||||||
\(48\) | −1.57851 | + | 0.712958i | −0.227838 | + | 0.102907i | ||||
\(49\) | −3.61560 | + | 4.85659i | −0.516514 | + | 0.693798i | ||||
\(50\) | −0.887215 | + | 0.583531i | −0.125471 | + | 0.0825237i | ||||
\(51\) | 4.37200 | + | 8.34854i | 0.612203 | + | 1.16903i | ||||
\(52\) | −0.353392 | − | 1.18041i | −0.0490067 | − | 0.163694i | ||||
\(53\) | 0.380960 | + | 0.659842i | 0.0523288 | + | 0.0906362i | 0.891003 | − | 0.453997i | \(-0.150002\pi\) |
−0.838674 | + | 0.544633i | \(0.816669\pi\) | |||||||
\(54\) | −0.865464 | − | 5.12357i | −0.117775 | − | 0.697230i | ||||
\(55\) | 2.83065 | − | 4.90283i | 0.381685 | − | 0.661097i | ||||
\(56\) | −0.946075 | − | 0.224224i | −0.126425 | − | 0.0299632i | ||||
\(57\) | 0.960658 | + | 7.16130i | 0.127242 | + | 0.948537i | ||||
\(58\) | 3.14608 | + | 1.58002i | 0.413101 | + | 0.207467i | ||||
\(59\) | −0.0874810 | − | 0.202804i | −0.0113891 | − | 0.0264028i | 0.912427 | − | 0.409240i | \(-0.134206\pi\) |
−0.923816 | + | 0.382837i | \(0.874947\pi\) | |||||||
\(60\) | 0.849391 | + | 3.33058i | 0.109656 | + | 0.429977i | ||||
\(61\) | 0.258923 | − | 4.44553i | 0.0331517 | − | 0.569192i | −0.940307 | − | 0.340328i | \(-0.889462\pi\) |
0.973458 | − | 0.228864i | \(-0.0735011\pi\) | |||||||
\(62\) | 1.47326 | − | 8.35528i | 0.187104 | − | 1.06112i | ||||
\(63\) | 1.37174 | − | 2.57417i | 0.172823 | − | 0.324314i | ||||
\(64\) | 0.173648 | + | 0.984808i | 0.0217060 | + | 0.123101i | ||||
\(65\) | −2.42867 | + | 0.283871i | −0.301240 | + | 0.0352099i | ||||
\(66\) | 3.24002 | + | 3.73067i | 0.398819 | + | 0.459214i | ||||
\(67\) | 2.08086 | − | 6.95054i | 0.254217 | − | 0.849144i | −0.731659 | − | 0.681670i | \(-0.761254\pi\) |
0.985877 | − | 0.167474i | \(-0.0535610\pi\) | |||||||
\(68\) | 5.29431 | − | 1.25477i | 0.642029 | − | 0.152164i | ||||
\(69\) | −11.1627 | − | 1.77325i | −1.34383 | − | 0.213474i | ||||
\(70\) | −0.764219 | + | 1.77166i | −0.0913417 | + | 0.211754i | ||||
\(71\) | 11.3942 | − | 9.56084i | 1.35224 | − | 1.13466i | 0.373943 | − | 0.927452i | \(-0.378006\pi\) |
0.978296 | − | 0.207212i | \(-0.0664389\pi\) | |||||||
\(72\) | −2.98983 | − | 0.246820i | −0.352355 | − | 0.0290880i | ||||
\(73\) | −5.51892 | − | 4.63093i | −0.645941 | − | 0.542009i | 0.259895 | − | 0.965637i | \(-0.416312\pi\) |
−0.905836 | + | 0.423628i | \(0.860756\pi\) | |||||||
\(74\) | −3.55916 | + | 1.78748i | −0.413744 | + | 0.207790i | ||||
\(75\) | −1.83409 | + | 0.138133i | −0.211783 | + | 0.0159502i | ||||
\(76\) | 4.14341 | + | 0.484295i | 0.475281 | + | 0.0555524i | ||||
\(77\) | 0.161279 | + | 2.76905i | 0.0183794 | + | 0.315562i | ||||
\(78\) | 0.456817 | − | 2.08473i | 0.0517244 | − | 0.236049i | ||||
\(79\) | −1.53350 | + | 1.62541i | −0.172532 | + | 0.182873i | −0.807870 | − | 0.589361i | \(-0.799379\pi\) |
0.635338 | + | 0.772234i | \(0.280861\pi\) | |||||||
\(80\) | 1.98446 | 0.221870 | ||||||||
\(81\) | 2.99515 | − | 8.48699i | 0.332795 | − | 0.942999i | ||||
\(82\) | −9.51143 | −1.05036 | ||||||||
\(83\) | 8.03965 | − | 8.52153i | 0.882466 | − | 0.935360i | −0.115856 | − | 0.993266i | \(-0.536961\pi\) |
0.998322 | + | 0.0579063i | \(0.0184425\pi\) | |||||||
\(84\) | −1.24439 | − | 1.13468i | −0.135774 | − | 0.123803i | ||||
\(85\) | −0.627813 | − | 10.7791i | −0.0680958 | − | 1.16916i | ||||
\(86\) | 10.4031 | + | 1.21595i | 1.12179 | + | 0.131119i | ||||
\(87\) | 3.43688 | + | 5.03695i | 0.368472 | + | 0.540017i | ||||
\(88\) | 2.54937 | − | 1.28034i | 0.271763 | − | 0.136485i | ||||
\(89\) | 0.108478 | + | 0.0910242i | 0.0114987 | + | 0.00964855i | 0.648519 | − | 0.761199i | \(-0.275389\pi\) |
−0.637020 | + | 0.770847i | \(0.719833\pi\) | |||||||
\(90\) | −1.51265 | + | 5.75801i | −0.159448 | + | 0.606947i | ||||
\(91\) | 0.917739 | − | 0.770075i | 0.0962052 | − | 0.0807258i | ||||
\(92\) | −2.58466 | + | 5.99192i | −0.269469 | + | 0.624700i | ||||
\(93\) | 9.25311 | − | 11.4159i | 0.959503 | − | 1.18378i | ||||
\(94\) | −4.13320 | + | 0.979586i | −0.426307 | + | 0.101037i | ||||
\(95\) | 2.37427 | − | 7.93063i | 0.243595 | − | 0.813665i | ||||
\(96\) | −0.564652 | + | 1.63743i | −0.0576296 | + | 0.167119i | ||||
\(97\) | −10.5566 | + | 1.23389i | −1.07186 | + | 0.125283i | −0.633674 | − | 0.773601i | \(-0.718454\pi\) |
−0.438188 | + | 0.898883i | \(0.644380\pi\) | |||||||
\(98\) | 1.05138 | + | 5.96268i | 0.106206 | + | 0.602322i | ||||
\(99\) | 1.77172 | + | 8.37304i | 0.178064 | + | 0.841523i | ||||
\(100\) | −0.184399 | + | 1.04578i | −0.0184399 | + | 0.104578i | ||||
\(101\) | −0.296004 | + | 5.08219i | −0.0294535 | + | 0.505697i | 0.951030 | + | 0.309097i | \(0.100027\pi\) |
−0.980484 | + | 0.196599i | \(0.937010\pi\) | |||||||
\(102\) | 9.07275 | + | 2.54903i | 0.898337 | + | 0.252392i | ||||
\(103\) | −6.19951 | − | 14.3721i | −0.610856 | − | 1.41612i | −0.890039 | − | 0.455885i | \(-0.849323\pi\) |
0.279183 | − | 0.960238i | \(-0.409936\pi\) | |||||||
\(104\) | −1.10111 | − | 0.553000i | −0.107973 | − | 0.0542261i | ||||
\(105\) | −2.64633 | + | 2.04092i | −0.258255 | + | 0.199173i | ||||
\(106\) | 0.741382 | + | 0.175711i | 0.0720094 | + | 0.0170665i | ||||
\(107\) | −2.98808 | + | 5.17551i | −0.288869 | + | 0.500336i | −0.973540 | − | 0.228516i | \(-0.926613\pi\) |
0.684671 | + | 0.728852i | \(0.259946\pi\) | |||||||
\(108\) | −4.32067 | − | 2.88649i | −0.415756 | − | 0.277753i | ||||
\(109\) | −1.48611 | − | 2.57401i | −0.142343 | − | 0.246546i | 0.786035 | − | 0.618182i | \(-0.212130\pi\) |
−0.928379 | + | 0.371636i | \(0.878797\pi\) | |||||||
\(110\) | −1.62368 | − | 5.42346i | −0.154812 | − | 0.517107i | ||||
\(111\) | −6.89256 | − | 0.284019i | −0.654213 | − | 0.0269579i | ||||
\(112\) | −0.812330 | + | 0.534278i | −0.0767580 | + | 0.0504845i | ||||
\(113\) | −9.71400 | + | 13.0482i | −0.913816 | + | 1.22747i | 0.0595531 | + | 0.998225i | \(0.481032\pi\) |
−0.973369 | + | 0.229243i | \(0.926375\pi\) | |||||||
\(114\) | 5.86818 | + | 4.21562i | 0.549606 | + | 0.394829i | ||||
\(115\) | 10.8194 | + | 7.11604i | 1.00892 | + | 0.663574i | ||||
\(116\) | 3.30824 | − | 1.20410i | 0.307163 | − | 0.111798i | ||||
\(117\) | 2.44388 | − | 2.77341i | 0.225936 | − | 0.256402i | ||||
\(118\) | −0.207547 | − | 0.0755410i | −0.0191063 | − | 0.00695412i | ||||
\(119\) | 3.15907 | + | 4.24336i | 0.289591 | + | 0.388988i | ||||
\(120\) | 3.00547 | + | 1.66776i | 0.274360 | + | 0.152245i | ||||
\(121\) | 1.96365 | + | 2.08135i | 0.178514 | + | 0.189214i | ||||
\(122\) | −3.05588 | − | 3.23904i | −0.276666 | − | 0.293249i | ||||
\(123\) | −14.4051 | − | 7.99350i | −1.29886 | − | 0.720749i | ||||
\(124\) | −5.06639 | − | 6.80535i | −0.454976 | − | 0.611138i | ||||
\(125\) | 11.3042 | + | 4.11438i | 1.01107 | + | 0.368001i | ||||
\(126\) | −0.931035 | − | 2.76427i | −0.0829432 | − | 0.246261i | ||||
\(127\) | −6.20947 | + | 2.26006i | −0.551002 | + | 0.200548i | −0.602492 | − | 0.798125i | \(-0.705825\pi\) |
0.0514898 | + | 0.998674i | \(0.483603\pi\) | |||||||
\(128\) | 0.835488 | + | 0.549509i | 0.0738474 | + | 0.0485702i | ||||
\(129\) | 14.7336 | + | 10.5844i | 1.29722 | + | 0.931905i | ||||
\(130\) | −1.46018 | + | 1.96136i | −0.128066 | + | 0.172022i | ||||
\(131\) | 17.9758 | − | 11.8229i | 1.57055 | − | 1.03297i | 0.597646 | − | 0.801760i | \(-0.296103\pi\) |
0.972904 | − | 0.231208i | \(-0.0742677\pi\) | |||||||
\(132\) | 4.93703 | + | 0.203438i | 0.429713 | + | 0.0177070i | ||||
\(133\) | 1.16327 | + | 3.88559i | 0.100868 | + | 0.336924i | ||||
\(134\) | −3.62767 | − | 6.28331i | −0.313383 | − | 0.542796i | ||||
\(135\) | −7.13000 | + | 7.44926i | −0.613653 | + | 0.641130i | ||||
\(136\) | 2.72048 | − | 4.71202i | 0.233280 | − | 0.404052i | ||||
\(137\) | 19.7062 | + | 4.67046i | 1.68362 | + | 0.399024i | 0.957474 | − | 0.288520i | \(-0.0931633\pi\) |
0.726142 | + | 0.687545i | \(0.241311\pi\) | |||||||
\(138\) | −8.95013 | + | 6.90258i | −0.761886 | + | 0.587587i | ||||
\(139\) | 0.844890 | + | 0.424320i | 0.0716626 | + | 0.0359903i | 0.484270 | − | 0.874919i | \(-0.339085\pi\) |
−0.412607 | + | 0.910909i | \(0.635382\pi\) | |||||||
\(140\) | 0.764219 | + | 1.77166i | 0.0645883 | + | 0.149733i | ||||
\(141\) | −7.08299 | − | 1.99000i | −0.596495 | − | 0.167588i | ||||
\(142\) | 0.864848 | − | 14.8489i | 0.0725764 | − | 1.24609i | ||||
\(143\) | −0.610402 | + | 3.46176i | −0.0510444 | + | 0.289487i | ||||
\(144\) | −2.23128 | + | 2.00534i | −0.185940 | + | 0.167112i | ||||
\(145\) | −1.21318 | − | 6.88027i | −0.100749 | − | 0.571375i | ||||
\(146\) | −7.15573 | + | 0.836385i | −0.592212 | + | 0.0692197i | ||||
\(147\) | −3.41878 | + | 9.91408i | −0.281976 | + | 0.817699i | ||||
\(148\) | −1.14228 | + | 3.81548i | −0.0938949 | + | 0.313631i | ||||
\(149\) | −13.5047 | + | 3.20067i | −1.10635 | + | 0.262209i | −0.742898 | − | 0.669404i | \(-0.766549\pi\) |
−0.363450 | + | 0.931614i | \(0.618401\pi\) | |||||||
\(150\) | −1.15816 | + | 1.42886i | −0.0945631 | + | 0.116666i | ||||
\(151\) | −8.89594 | + | 20.6231i | −0.723942 | + | 1.67829i | 0.0108032 | + | 0.999942i | \(0.496561\pi\) |
−0.734745 | + | 0.678344i | \(0.762698\pi\) | |||||||
\(152\) | 3.19564 | − | 2.68146i | 0.259201 | − | 0.217495i | ||||
\(153\) | 11.5985 | + | 11.4853i | 0.937680 | + | 0.928535i | ||||
\(154\) | 2.12481 | + | 1.78293i | 0.171222 | + | 0.143672i | ||||
\(155\) | −15.0457 | + | 7.55621i | −1.20850 | + | 0.606929i | ||||
\(156\) | −1.20289 | − | 1.76290i | −0.0963082 | − | 0.141145i | ||||
\(157\) | −13.9173 | − | 1.62669i | −1.11072 | − | 0.129824i | −0.459110 | − | 0.888380i | \(-0.651832\pi\) |
−0.651609 | + | 0.758555i | \(0.725906\pi\) | |||||||
\(158\) | 0.129932 | + | 2.23085i | 0.0103369 | + | 0.177477i | ||||
\(159\) | 0.975154 | + | 0.889179i | 0.0773347 | + | 0.0705164i | ||||
\(160\) | 1.36182 | − | 1.44344i | 0.107661 | − | 0.114114i | ||||
\(161\) | −6.34473 | −0.500035 | ||||||||
\(162\) | −4.11782 | − | 8.00272i | −0.323526 | − | 0.628753i | ||||
\(163\) | 13.5318 | 1.05990 | 0.529948 | − | 0.848030i | \(-0.322211\pi\) | ||||
0.529948 | + | 0.848030i | \(0.322211\pi\) | |||||||
\(164\) | −6.52714 | + | 6.91836i | −0.509684 | + | 0.540233i | ||||
\(165\) | 2.09887 | − | 9.57839i | 0.163397 | − | 0.745677i | ||||
\(166\) | −0.681195 | − | 11.6957i | −0.0528710 | − | 0.907759i | ||||
\(167\) | −6.19397 | − | 0.723971i | −0.479304 | − | 0.0560226i | −0.126989 | − | 0.991904i | \(-0.540531\pi\) |
−0.352315 | + | 0.935882i | \(0.614605\pi\) | |||||||
\(168\) | −1.67929 | + | 0.126474i | −0.129560 | + | 0.00975766i | ||||
\(169\) | −10.2605 | + | 5.15300i | −0.789266 | + | 0.396384i | ||||
\(170\) | −8.27128 | − | 6.94043i | −0.634378 | − | 0.532307i | ||||
\(171\) | 5.34451 | + | 11.3162i | 0.408705 | + | 0.865375i | ||||
\(172\) | 8.02348 | − | 6.73250i | 0.611785 | − | 0.513348i | ||||
\(173\) | 4.76907 | − | 11.0560i | 0.362586 | − | 0.840569i | −0.635090 | − | 0.772438i | \(-0.719037\pi\) |
0.997676 | − | 0.0681309i | \(-0.0217035\pi\) | |||||||
\(174\) | 6.02227 | + | 0.956667i | 0.456547 | + | 0.0725248i | ||||
\(175\) | −1.00465 | + | 0.238106i | −0.0759443 | + | 0.0179991i | ||||
\(176\) | 0.818196 | − | 2.73296i | 0.0616738 | − | 0.206005i | ||||
\(177\) | −0.250845 | − | 0.288832i | −0.0188547 | − | 0.0217099i | ||||
\(178\) | 0.140651 | − | 0.0164397i | 0.0105422 | − | 0.00123221i | ||||
\(179\) | 1.82508 | + | 10.3506i | 0.136413 | + | 0.773637i | 0.973865 | + | 0.227126i | \(0.0729330\pi\) |
−0.837452 | + | 0.546510i | \(0.815956\pi\) | |||||||
\(180\) | 3.15018 | + | 5.05165i | 0.234800 | + | 0.376528i | ||||
\(181\) | −3.69405 | + | 20.9500i | −0.274577 | + | 1.55720i | 0.465727 | + | 0.884929i | \(0.345793\pi\) |
−0.740303 | + | 0.672273i | \(0.765318\pi\) | |||||||
\(182\) | 0.0696589 | − | 1.19600i | 0.00516346 | − | 0.0886532i | ||||
\(183\) | −1.90601 | − | 7.47372i | −0.140896 | − | 0.552473i | ||||
\(184\) | 2.58466 | + | 5.99192i | 0.190544 | + | 0.441730i | ||||
\(185\) | 7.06302 | + | 3.54718i | 0.519283 | + | 0.260794i | ||||
\(186\) | −1.95377 | − | 14.5646i | −0.143258 | − | 1.06792i | ||||
\(187\) | −15.1037 | − | 3.57963i | −1.10449 | − | 0.261769i | ||||
\(188\) | −2.12385 | + | 3.67861i | −0.154898 | + | 0.268290i | ||||
\(189\) | 0.913065 | − | 4.96894i | 0.0664157 | − | 0.361437i | ||||
\(190\) | −4.13920 | − | 7.16931i | −0.300289 | − | 0.520116i | ||||
\(191\) | −1.54218 | − | 5.15125i | −0.111589 | − | 0.372732i | 0.883893 | − | 0.467690i | \(-0.154914\pi\) |
−0.995481 | + | 0.0949580i | \(0.969728\pi\) | |||||||
\(192\) | 0.803534 | + | 1.53438i | 0.0579900 | + | 0.110735i | ||||
\(193\) | 1.48697 | − | 0.977995i | 0.107034 | − | 0.0703977i | −0.494863 | − | 0.868971i | \(-0.664782\pi\) |
0.601898 | + | 0.798573i | \(0.294411\pi\) | |||||||
\(194\) | −6.34689 | + | 8.52535i | −0.455680 | + | 0.612085i | ||||
\(195\) | −3.85978 | + | 1.74333i | −0.276405 | + | 0.124842i | ||||
\(196\) | 5.05860 | + | 3.32709i | 0.361329 | + | 0.237650i | ||||
\(197\) | 13.2546 | − | 4.82428i | 0.944352 | − | 0.343716i | 0.176469 | − | 0.984306i | \(-0.443532\pi\) |
0.767883 | + | 0.640590i | \(0.221310\pi\) | |||||||
\(198\) | 7.30616 | + | 4.45723i | 0.519226 | + | 0.316762i | ||||
\(199\) | 26.4129 | + | 9.61351i | 1.87236 | + | 0.681484i | 0.965722 | + | 0.259578i | \(0.0835833\pi\) |
0.906639 | + | 0.421906i | \(0.138639\pi\) | |||||||
\(200\) | 0.634130 | + | 0.851785i | 0.0448398 | + | 0.0602303i | ||||
\(201\) | −0.213552 | − | 12.5648i | −0.0150628 | − | 0.886254i | ||||
\(202\) | 3.49352 | + | 3.70291i | 0.245803 | + | 0.260536i | ||||
\(203\) | 2.34899 | + | 2.48978i | 0.164867 | + | 0.174749i | ||||
\(204\) | 8.08020 | − | 4.85003i | 0.565727 | − | 0.339570i | ||||
\(205\) | 11.2714 | + | 15.1401i | 0.787229 | + | 1.05743i | ||||
\(206\) | −14.7082 | − | 5.35336i | −1.02477 | − | 0.372986i | ||||
\(207\) | −19.3560 | + | 2.93218i | −1.34533 | + | 0.203801i | ||||
\(208\) | −1.15787 | + | 0.421429i | −0.0802836 | + | 0.0292208i | ||||
\(209\) | −9.94300 | − | 6.53961i | −0.687772 | − | 0.452355i | ||||
\(210\) | −0.331510 | + | 3.32544i | −0.0228764 | + | 0.229477i | ||||
\(211\) | −4.64579 | + | 6.24038i | −0.319830 | + | 0.429606i | −0.932742 | − | 0.360545i | \(-0.882591\pi\) |
0.612912 | + | 0.790151i | \(0.289998\pi\) | |||||||
\(212\) | 0.636574 | − | 0.418682i | 0.0437201 | − | 0.0287552i | ||||
\(213\) | 13.7890 | − | 21.7618i | 0.944803 | − | 1.49109i | ||||
\(214\) | 1.71398 | + | 5.72511i | 0.117166 | + | 0.391360i | ||||
\(215\) | −10.3925 | − | 18.0004i | −0.708765 | − | 1.22762i | ||||
\(216\) | −5.06458 | + | 1.16191i | −0.344601 | + | 0.0790579i | ||||
\(217\) | 4.12451 | − | 7.14385i | 0.279990 | − | 0.484956i | ||||
\(218\) | −2.89210 | − | 0.685440i | −0.195878 | − | 0.0464239i | ||||
\(219\) | −11.5403 | − | 4.74704i | −0.779818 | − | 0.320775i | ||||
\(220\) | −5.05912 | − | 2.54079i | −0.341086 | − | 0.171300i | ||||
\(221\) | 2.65541 | + | 6.15593i | 0.178622 | + | 0.414093i | ||||
\(222\) | −4.93655 | + | 4.81856i | −0.331320 | + | 0.323401i | ||||
\(223\) | 1.33370 | − | 22.8987i | 0.0893110 | − | 1.53341i | −0.594705 | − | 0.803944i | \(-0.702731\pi\) |
0.684016 | − | 0.729467i | \(-0.260232\pi\) | |||||||
\(224\) | −0.168835 | + | 0.957512i | −0.0112808 | + | 0.0639764i | ||||
\(225\) | −2.95486 | + | 1.19069i | −0.196991 | + | 0.0793792i | ||||
\(226\) | 2.82474 | + | 16.0199i | 0.187899 | + | 1.06563i | ||||
\(227\) | 8.01258 | − | 0.936536i | 0.531813 | − | 0.0621601i | 0.154052 | − | 0.988063i | \(-0.450768\pi\) |
0.377762 | + | 0.925903i | \(0.376694\pi\) | |||||||
\(228\) | 7.09333 | − | 1.37543i | 0.469767 | − | 0.0910898i | ||||
\(229\) | −7.42196 | + | 24.7911i | −0.490457 | + | 1.63824i | 0.251547 | + | 0.967845i | \(0.419061\pi\) |
−0.742004 | + | 0.670395i | \(0.766125\pi\) | |||||||
\(230\) | 12.6007 | − | 2.98643i | 0.830869 | − | 0.196920i | ||||
\(231\) | 1.71963 | + | 4.48595i | 0.113144 | + | 0.295154i | ||||
\(232\) | 1.39442 | − | 3.23263i | 0.0915483 | − | 0.212233i | ||||
\(233\) | 5.02217 | − | 4.21410i | 0.329013 | − | 0.276075i | −0.463284 | − | 0.886210i | \(-0.653329\pi\) |
0.792298 | + | 0.610135i | \(0.208885\pi\) | |||||||
\(234\) | −0.340214 | − | 3.68084i | −0.0222405 | − | 0.240624i | ||||
\(235\) | 6.45729 | + | 5.41831i | 0.421227 | + | 0.353451i | ||||
\(236\) | −0.197374 | + | 0.0991250i | −0.0128480 | + | 0.00645249i | ||||
\(237\) | −1.67805 | + | 3.48782i | −0.109001 | + | 0.226558i | ||||
\(238\) | 5.25439 | + | 0.614150i | 0.340592 | + | 0.0398094i | ||||
\(239\) | 0.437409 | + | 7.51002i | 0.0282936 | + | 0.485783i | 0.982456 | + | 0.186494i | \(0.0597124\pi\) |
−0.954163 | + | 0.299289i | \(0.903251\pi\) | |||||||
\(240\) | 3.27556 | − | 1.04161i | 0.211437 | − | 0.0672357i | ||||
\(241\) | 19.2683 | − | 20.4232i | 1.24118 | − | 1.31557i | 0.310126 | − | 0.950696i | \(-0.399629\pi\) |
0.931055 | − | 0.364879i | \(-0.118890\pi\) | |||||||
\(242\) | 2.86146 | 0.183942 | ||||||||
\(243\) | 0.489137 | − | 15.5808i | 0.0313781 | − | 0.999508i | ||||
\(244\) | −4.45306 | −0.285078 | ||||||||
\(245\) | 8.24537 | − | 8.73958i | 0.526777 | − | 0.558351i | ||||
\(246\) | −15.6996 | + | 4.99239i | −1.00097 | + | 0.318303i | ||||
\(247\) | 0.298874 | + | 5.13147i | 0.0190169 | + | 0.326507i | ||||
\(248\) | −8.42680 | − | 0.984952i | −0.535102 | − | 0.0625445i | ||||
\(249\) | 8.79748 | − | 18.2856i | 0.557518 | − | 1.15880i | ||||
\(250\) | 10.7501 | − | 5.39889i | 0.679894 | − | 0.341456i | ||||
\(251\) | −6.61197 | − | 5.54810i | −0.417344 | − | 0.350193i | 0.409808 | − | 0.912172i | \(-0.365596\pi\) |
−0.827152 | + | 0.561979i | \(0.810040\pi\) | |||||||
\(252\) | −2.64957 | − | 1.21975i | −0.166907 | − | 0.0768367i | ||||
\(253\) | 14.2609 | − | 11.9663i | 0.896577 | − | 0.752318i | ||||
\(254\) | −2.61729 | + | 6.06756i | −0.164223 | + | 0.380712i | ||||
\(255\) | −6.69405 | − | 17.4626i | −0.419198 | − | 1.09355i | ||||
\(256\) | 0.973045 | − | 0.230616i | 0.0608153 | − | 0.0144135i | ||||
\(257\) | −1.84364 | + | 6.15819i | −0.115003 | + | 0.384138i | −0.996040 | − | 0.0889110i | \(-0.971661\pi\) |
0.881036 | + | 0.473049i | \(0.156846\pi\) | |||||||
\(258\) | 17.8096 | − | 3.45336i | 1.10878 | − | 0.214997i | ||||
\(259\) | −3.84623 | + | 0.449559i | −0.238993 | + | 0.0279343i | ||||
\(260\) | 0.424606 | + | 2.40806i | 0.0263329 | + | 0.149341i | ||||
\(261\) | 8.31674 | + | 6.51005i | 0.514793 | + | 0.402962i | ||||
\(262\) | 3.73609 | − | 21.1884i | 0.230817 | − | 1.30903i | ||||
\(263\) | 0.326352 | − | 5.60324i | 0.0201237 | − | 0.345511i | −0.973185 | − | 0.230023i | \(-0.926120\pi\) |
0.993309 | − | 0.115488i | \(-0.0368431\pi\) | |||||||
\(264\) | 3.53597 | − | 3.45146i | 0.217624 | − | 0.212422i | ||||
\(265\) | −0.598872 | − | 1.38834i | −0.0367884 | − | 0.0852852i | ||||
\(266\) | 3.62456 | + | 1.82032i | 0.222236 | + | 0.111611i | ||||
\(267\) | 0.226832 | + | 0.0933065i | 0.0138819 | + | 0.00571027i | ||||
\(268\) | −7.05978 | − | 1.67320i | −0.431244 | − | 0.102207i | ||||
\(269\) | −13.8587 | + | 24.0039i | −0.844978 | + | 1.46354i | 0.0406627 | + | 0.999173i | \(0.487053\pi\) |
−0.885641 | + | 0.464372i | \(0.846280\pi\) | |||||||
\(270\) | 0.525489 | + | 10.2982i | 0.0319802 | + | 0.626726i | ||||
\(271\) | 0.898149 | + | 1.55564i | 0.0545587 | + | 0.0944984i | 0.892015 | − | 0.452006i | \(-0.149291\pi\) |
−0.837456 | + | 0.546504i | \(0.815958\pi\) | |||||||
\(272\) | −1.56049 | − | 5.21239i | −0.0946185 | − | 0.316048i | ||||
\(273\) | 1.11063 | − | 1.75280i | 0.0672181 | − | 0.106084i | ||||
\(274\) | 16.9204 | − | 11.1287i | 1.02220 | − | 0.672311i | ||||
\(275\) | 1.80906 | − | 2.42998i | 0.109090 | − | 0.146533i | ||||
\(276\) | −1.12120 | + | 11.2469i | −0.0674881 | + | 0.676986i | ||||
\(277\) | 6.99361 | + | 4.59977i | 0.420205 | + | 0.276373i | 0.741953 | − | 0.670452i | \(-0.233900\pi\) |
−0.321747 | + | 0.946826i | \(0.604270\pi\) | |||||||
\(278\) | 0.888438 | − | 0.323365i | 0.0532850 | − | 0.0193941i | ||||
\(279\) | 9.28120 | − | 23.7000i | 0.555651 | − | 1.41888i | ||||
\(280\) | 1.81310 | + | 0.659913i | 0.108353 | + | 0.0394374i | ||||
\(281\) | −8.75814 | − | 11.7642i | −0.522467 | − | 0.701795i | 0.460066 | − | 0.887885i | \(-0.347826\pi\) |
−0.982533 | + | 0.186090i | \(0.940418\pi\) | |||||||
\(282\) | −6.30811 | + | 3.78636i | −0.375643 | + | 0.225474i | ||||
\(283\) | 14.6425 | + | 15.5202i | 0.870407 | + | 0.922578i | 0.997596 | − | 0.0693007i | \(-0.0220768\pi\) |
−0.127188 | + | 0.991879i | \(0.540595\pi\) | |||||||
\(284\) | −10.2072 | − | 10.8190i | −0.605685 | − | 0.641988i | ||||
\(285\) | −0.243665 | − | 14.3365i | −0.0144334 | − | 0.849224i | ||||
\(286\) | 2.09911 | + | 2.81960i | 0.124123 | + | 0.166726i | ||||
\(287\) | −8.69009 | − | 3.16293i | −0.512960 | − | 0.186702i | ||||
\(288\) | −0.0725594 | + | 2.99912i | −0.00427561 | + | 0.176725i | ||||
\(289\) | −11.8440 | + | 4.31087i | −0.696707 | + | 0.253581i | ||||
\(290\) | −5.83706 | − | 3.83909i | −0.342764 | − | 0.225439i | ||||
\(291\) | −16.7772 | + | 7.57766i | −0.983494 | + | 0.444210i | ||||
\(292\) | −4.30219 | + | 5.77885i | −0.251767 | + | 0.338182i | ||||
\(293\) | 12.9636 | − | 8.52628i | 0.757341 | − | 0.498111i | −0.111158 | − | 0.993803i | \(-0.535456\pi\) |
0.868498 | + | 0.495692i | \(0.165085\pi\) | |||||||
\(294\) | 4.86513 | + | 9.29018i | 0.283740 | + | 0.541814i | ||||
\(295\) | 0.125707 | + | 0.419889i | 0.00731892 | + | 0.0244469i | ||||
\(296\) | 1.99140 | + | 3.44921i | 0.115748 | + | 0.200481i | ||||
\(297\) | 7.31927 | + | 12.8906i | 0.424707 | + | 0.747991i | ||||
\(298\) | −6.93940 | + | 12.0194i | −0.401989 | + | 0.696265i | ||||
\(299\) | −7.82396 | − | 1.85431i | −0.452471 | − | 0.107238i | ||||
\(300\) | 0.244542 | + | 1.82296i | 0.0141186 | + | 0.105249i | ||||
\(301\) | 9.10040 | + | 4.57039i | 0.524538 | + | 0.263433i | ||||
\(302\) | 8.89594 | + | 20.6231i | 0.511904 | + | 1.18673i | ||||
\(303\) | 2.17897 | + | 8.54405i | 0.125179 | + | 0.490843i | ||||
\(304\) | 0.242558 | − | 4.16456i | 0.0139116 | − | 0.238854i | ||||
\(305\) | −1.53452 | + | 8.70268i | −0.0878662 | + | 0.498314i | ||||
\(306\) | 16.3135 | − | 0.554689i | 0.932580 | − | 0.0317095i | ||||
\(307\) | −0.146163 | − | 0.828930i | −0.00834195 | − | 0.0473096i | 0.980353 | − | 0.197253i | \(-0.0632020\pi\) |
−0.988695 | + | 0.149943i | \(0.952091\pi\) | |||||||
\(308\) | 2.75499 | − | 0.322012i | 0.156980 | − | 0.0183483i | ||||
\(309\) | −17.7766 | − | 20.4686i | −1.01128 | − | 1.16442i | ||||
\(310\) | −4.82876 | + | 16.1292i | −0.274255 | + | 0.916077i | ||||
\(311\) | −7.29384 | + | 1.72867i | −0.413596 | + | 0.0980239i | −0.432145 | − | 0.901804i | \(-0.642243\pi\) |
0.0185498 | + | 0.999828i | \(0.494095\pi\) | |||||||
\(312\) | −2.10776 | − | 0.334828i | −0.119329 | − | 0.0189559i | ||||
\(313\) | 11.2311 | − | 26.0367i | 0.634821 | − | 1.47168i | −0.231826 | − | 0.972757i | \(-0.574470\pi\) |
0.866646 | − | 0.498923i | \(-0.166271\pi\) | |||||||
\(314\) | −10.7338 | + | 9.00674i | −0.605745 | + | 0.508280i | ||||
\(315\) | −3.29680 | + | 4.75777i | −0.185754 | + | 0.268070i | ||||
\(316\) | 1.71183 | + | 1.43639i | 0.0962978 | + | 0.0808034i | ||||
\(317\) | −0.263419 | + | 0.132294i | −0.0147951 | + | 0.00743037i | −0.456181 | − | 0.889887i | \(-0.650783\pi\) |
0.441386 | + | 0.897317i | \(0.354487\pi\) | |||||||
\(318\) | 1.31596 | − | 0.0991099i | 0.0737952 | − | 0.00555781i | ||||
\(319\) | −9.97558 | − | 1.16598i | −0.558525 | − | 0.0652822i | ||||
\(320\) | −0.115386 | − | 1.98110i | −0.00645028 | − | 0.110747i | ||||
\(321\) | −2.21561 | + | 10.1111i | −0.123663 | + | 0.564348i | ||||
\(322\) | −4.35402 | + | 4.61499i | −0.242640 | + | 0.257183i | ||||
\(323\) | −22.6976 | −1.26293 | ||||||||
\(324\) | −8.64679 | − | 2.49661i | −0.480377 | − | 0.138701i | ||||
\(325\) | −1.30846 | −0.0725805 | ||||||||
\(326\) | 9.28611 | − | 9.84271i | 0.514310 | − | 0.545137i | ||||
\(327\) | −3.80403 | − | 3.46865i | −0.210364 | − | 0.191817i | ||||
\(328\) | 0.553040 | + | 9.49533i | 0.0305365 | + | 0.524292i | ||||
\(329\) | −4.10204 | − | 0.479459i | −0.226153 | − | 0.0264334i | ||||
\(330\) | −5.52674 | − | 8.09975i | −0.304237 | − | 0.445877i | ||||
\(331\) | −23.2599 | + | 11.6816i | −1.27848 | + | 0.642076i | −0.952856 | − | 0.303423i | \(-0.901870\pi\) |
−0.325623 | + | 0.945500i | \(0.605574\pi\) | |||||||
\(332\) | −8.97458 | − | 7.53057i | −0.492544 | − | 0.413294i | ||||
\(333\) | −11.5260 | + | 3.14899i | −0.631620 | + | 0.172564i | ||||
\(334\) | −4.77716 | + | 4.00851i | −0.261394 | + | 0.219336i | ||||
\(335\) | −5.70274 | + | 13.2204i | −0.311574 | + | 0.722309i | ||||
\(336\) | −1.06040 | + | 1.30826i | −0.0578497 | + | 0.0713715i | ||||
\(337\) | 5.69426 | − | 1.34956i | 0.310186 | − | 0.0735154i | −0.0725746 | − | 0.997363i | \(-0.523122\pi\) |
0.382761 | + | 0.923848i | \(0.374973\pi\) | |||||||
\(338\) | −3.29300 | + | 10.9994i | −0.179116 | + | 0.598288i | ||||
\(339\) | −9.18521 | + | 26.6361i | −0.498872 | + | 1.44667i | ||||
\(340\) | −10.7244 | + | 1.25350i | −0.581611 | + | 0.0679806i | ||||
\(341\) | 4.20294 | + | 23.8360i | 0.227602 | + | 1.29079i | ||||
\(342\) | 11.8988 | + | 3.87822i | 0.643412 | + | 0.209710i | ||||
\(343\) | −2.20409 | + | 12.5000i | −0.119009 | + | 0.674936i | ||||
\(344\) | 0.609004 | − | 10.4562i | 0.0328353 | − | 0.563760i | ||||
\(345\) | 21.5937 | + | 6.06684i | 1.16256 | + | 0.326628i | ||||
\(346\) | −4.76907 | − | 11.0560i | −0.256387 | − | 0.594372i | ||||
\(347\) | 20.1631 | + | 10.1263i | 1.08241 | + | 0.543609i | 0.898339 | − | 0.439303i | \(-0.144775\pi\) |
0.184076 | + | 0.982912i | \(0.441071\pi\) | |||||||
\(348\) | 4.82859 | − | 3.72394i | 0.258839 | − | 0.199624i | ||||
\(349\) | −31.3627 | − | 7.43310i | −1.67881 | − | 0.397885i | −0.722760 | − | 0.691099i | \(-0.757127\pi\) |
−0.956047 | + | 0.293214i | \(0.905275\pi\) | |||||||
\(350\) | −0.516240 | + | 0.894154i | −0.0275942 | + | 0.0477945i | ||||
\(351\) | 2.57816 | − | 5.86055i | 0.137612 | − | 0.312813i | ||||
\(352\) | −1.42641 | − | 2.47061i | −0.0760277 | − | 0.131684i | ||||
\(353\) | −2.61760 | − | 8.74338i | −0.139321 | − | 0.465363i | 0.859642 | − | 0.510897i | \(-0.170686\pi\) |
−0.998963 | + | 0.0455332i | \(0.985501\pi\) | |||||||
\(354\) | −0.382229 | − | 0.0157503i | −0.0203152 | − | 0.000837121i | ||||
\(355\) | −24.6610 | + | 16.2198i | −1.30887 | + | 0.860859i | ||||
\(356\) | 0.0845627 | − | 0.113587i | 0.00448182 | − | 0.00602012i | ||||
\(357\) | 7.44164 | + | 5.34597i | 0.393853 | + | 0.282939i | ||||
\(358\) | 8.78117 | + | 5.77546i | 0.464099 | + | 0.305243i | ||||
\(359\) | −1.25255 | + | 0.455890i | −0.0661069 | + | 0.0240609i | −0.374862 | − | 0.927081i | \(-0.622310\pi\) |
0.308755 | + | 0.951142i | \(0.400088\pi\) | |||||||
\(360\) | 5.83622 | + | 1.17530i | 0.307596 | + | 0.0619435i | ||||
\(361\) | 1.50129 | + | 0.546425i | 0.0790153 | + | 0.0287592i | ||||
\(362\) | 12.7035 | + | 17.0637i | 0.667680 | + | 0.896849i | ||||
\(363\) | 4.33368 | + | 2.40480i | 0.227459 | + | 0.126219i | ||||
\(364\) | −0.822134 | − | 0.871411i | −0.0430915 | − | 0.0456743i | ||||
\(365\) | 9.81115 | + | 10.3992i | 0.513539 | + | 0.544320i | ||||
\(366\) | −6.74417 | − | 3.74240i | −0.352523 | − | 0.195618i | ||||
\(367\) | −6.53198 | − | 8.77397i | −0.340966 | − | 0.457997i | 0.598257 | − | 0.801304i | \(-0.295860\pi\) |
−0.939223 | + | 0.343307i | \(0.888453\pi\) | |||||||
\(368\) | 6.13206 | + | 2.23189i | 0.319656 | + | 0.116345i | ||||
\(369\) | −27.9727 | − | 5.63313i | −1.45620 | − | 0.293249i | ||||
\(370\) | 7.42706 | − | 2.70323i | 0.386115 | − | 0.140534i | ||||
\(371\) | 0.618930 | + | 0.407077i | 0.0321333 | + | 0.0211344i | ||||
\(372\) | −11.9346 | − | 8.57368i | −0.618782 | − | 0.444525i | ||||
\(373\) | −5.02841 | + | 6.75432i | −0.260361 | + | 0.349726i | −0.913012 | − | 0.407933i | \(-0.866250\pi\) |
0.652651 | + | 0.757659i | \(0.273657\pi\) | |||||||
\(374\) | −12.9685 | + | 8.52951i | −0.670585 | + | 0.441051i | ||||
\(375\) | 20.8183 | + | 0.857849i | 1.07505 | + | 0.0442991i | ||||
\(376\) | 1.21825 | + | 4.06925i | 0.0628266 | + | 0.209855i | ||||
\(377\) | 2.16897 | + | 3.75677i | 0.111708 | + | 0.193484i | ||||
\(378\) | −2.98769 | − | 4.07403i | −0.153670 | − | 0.209546i | ||||
\(379\) | 5.48813 | − | 9.50572i | 0.281906 | − | 0.488276i | −0.689948 | − | 0.723859i | \(-0.742367\pi\) |
0.971854 | + | 0.235583i | \(0.0756999\pi\) | |||||||
\(380\) | −8.05526 | − | 1.90913i | −0.413226 | − | 0.0979364i | ||||
\(381\) | −9.06312 | + | 6.98972i | −0.464318 | + | 0.358094i | ||||
\(382\) | −4.80520 | − | 2.41326i | −0.245855 | − | 0.123473i | ||||
\(383\) | −6.04204 | − | 14.0070i | −0.308734 | − | 0.715725i | 0.691242 | − | 0.722623i | \(-0.257064\pi\) |
−0.999976 | + | 0.00689765i | \(0.997804\pi\) | |||||||
\(384\) | 1.66749 | + | 0.468489i | 0.0850937 | + | 0.0239075i | ||||
\(385\) | 0.320051 | − | 5.49507i | 0.0163113 | − | 0.280055i | ||||
\(386\) | 0.309052 | − | 1.75272i | 0.0157304 | − | 0.0892113i | ||||
\(387\) | 29.8749 | + | 9.73727i | 1.51863 | + | 0.494973i | ||||
\(388\) | 1.84562 | + | 10.4670i | 0.0936970 | + | 0.531382i | ||||
\(389\) | 25.7573 | − | 3.01059i | 1.30595 | − | 0.152643i | 0.565494 | − | 0.824752i | \(-0.308686\pi\) |
0.740452 | + | 0.672109i | \(0.234611\pi\) | |||||||
\(390\) | −1.38069 | + | 4.00385i | −0.0699140 | + | 0.202743i | ||||
\(391\) | 10.1831 | − | 34.0140i | 0.514983 | − | 1.72016i | ||||
\(392\) | 5.89146 | − | 1.39630i | 0.297564 | − | 0.0705239i | ||||
\(393\) | 23.4653 | − | 28.9500i | 1.18367 | − | 1.46034i | ||||
\(394\) | 5.58681 | − | 12.9517i | 0.281459 | − | 0.652496i | ||||
\(395\) | 3.39705 | − | 2.85047i | 0.170924 | − | 0.143423i | ||||
\(396\) | 8.25586 | − | 2.25557i | 0.414873 | − | 0.113347i | ||||
\(397\) | −10.2452 | − | 8.59675i | −0.514192 | − | 0.431458i | 0.348409 | − | 0.937342i | \(-0.386722\pi\) |
−0.862601 | + | 0.505884i | \(0.831166\pi\) | |||||||
\(398\) | 25.1183 | − | 12.6149i | 1.25906 | − | 0.632326i | ||||
\(399\) | 3.95958 | + | 5.80300i | 0.198227 | + | 0.290513i | ||||
\(400\) | 1.05473 | + | 0.123281i | 0.0527366 | + | 0.00616403i | ||||
\(401\) | 0.216108 | + | 3.71042i | 0.0107919 | + | 0.185290i | 0.999396 | + | 0.0347509i | \(0.0110638\pi\) |
−0.988604 | + | 0.150539i | \(0.951899\pi\) | |||||||
\(402\) | −9.28586 | − | 8.46717i | −0.463137 | − | 0.422304i | ||||
\(403\) | 7.17396 | − | 7.60396i | 0.357361 | − | 0.378780i | ||||
\(404\) | 5.09080 | 0.253277 | ||||||||
\(405\) | −7.85883 | + | 16.0382i | −0.390508 | + | 0.796945i | ||||
\(406\) | 3.42298 | 0.169879 | ||||||||
\(407\) | 7.79720 | − | 8.26455i | 0.386493 | − | 0.409659i | ||||
\(408\) | 2.01719 | − | 9.20562i | 0.0998656 | − | 0.455746i | ||||
\(409\) | 0.553163 | + | 9.49745i | 0.0273522 | + | 0.469618i | 0.983977 | + | 0.178296i | \(0.0570583\pi\) |
−0.956625 | + | 0.291323i | \(0.905905\pi\) | |||||||
\(410\) | 18.7474 | + | 2.19126i | 0.925870 | + | 0.108219i | ||||
\(411\) | 34.9786 | − | 2.63438i | 1.72537 | − | 0.129944i | ||||
\(412\) | −13.9873 | + | 7.02468i | −0.689104 | + | 0.346081i | ||||
\(413\) | −0.164505 | − | 0.138036i | −0.00809474 | − | 0.00679229i | ||||
\(414\) | −11.1501 | + | 16.0912i | −0.547997 | + | 0.790840i | ||||
\(415\) | −17.8097 | + | 14.9441i | −0.874244 | + | 0.733578i | ||||
\(416\) | −0.488040 | + | 1.13140i | −0.0239281 | + | 0.0554716i | ||||
\(417\) | 1.61730 | + | 0.256916i | 0.0791994 | + | 0.0125812i | ||||
\(418\) | −11.5800 | + | 2.74452i | −0.566398 | + | 0.134239i | ||||
\(419\) | 2.87324 | − | 9.59729i | 0.140367 | − | 0.468859i | −0.858680 | − | 0.512513i | \(-0.828715\pi\) |
0.999047 | + | 0.0436541i | \(0.0139000\pi\) | |||||||
\(420\) | 2.19134 | + | 2.52318i | 0.106926 | + | 0.123119i | ||||
\(421\) | 13.8333 | − | 1.61688i | 0.674195 | − | 0.0788021i | 0.227895 | − | 0.973686i | \(-0.426816\pi\) |
0.446300 | + | 0.894884i | \(0.352742\pi\) | |||||||
\(422\) | 1.35095 | + | 7.66164i | 0.0657634 | + | 0.372963i | ||||
\(423\) | −12.7357 | + | 0.433039i | −0.619232 | + | 0.0210551i | ||||
\(424\) | 0.132306 | − | 0.750344i | 0.00642534 | − | 0.0364399i | ||||
\(425\) | 0.335951 | − | 5.76806i | 0.0162960 | − | 0.279792i | ||||
\(426\) | −6.36640 | − | 24.9636i | −0.308453 | − | 1.20949i | ||||
\(427\) | −1.71488 | − | 3.97554i | −0.0829890 | − | 0.192390i | ||||
\(428\) | 5.34050 | + | 2.68210i | 0.258143 | + | 0.129644i | ||||
\(429\) | 0.809489 | + | 6.03440i | 0.0390825 | + | 0.291343i | ||||
\(430\) | −20.2248 | − | 4.79337i | −0.975327 | − | 0.231157i | ||||
\(431\) | −2.88041 | + | 4.98901i | −0.138744 | + | 0.240312i | −0.927022 | − | 0.375008i | \(-0.877640\pi\) |
0.788277 | + | 0.615320i | \(0.210973\pi\) | |||||||
\(432\) | −2.63038 | + | 4.48119i | −0.126554 | + | 0.215601i | ||||
\(433\) | −8.41428 | − | 14.5740i | −0.404364 | − | 0.700380i | 0.589883 | − | 0.807489i | \(-0.299174\pi\) |
−0.994247 | + | 0.107109i | \(0.965841\pi\) | |||||||
\(434\) | −2.36584 | − | 7.90247i | −0.113564 | − | 0.379331i | ||||
\(435\) | −5.61382 | − | 10.7198i | −0.269162 | − | 0.513977i | ||||
\(436\) | −2.48325 | + | 1.63326i | −0.118926 | + | 0.0782189i | ||||
\(437\) | 16.2560 | − | 21.8356i | 0.777631 | − | 1.04454i | ||||
\(438\) | −11.3723 | + | 5.13646i | −0.543388 | + | 0.245430i | ||||
\(439\) | 14.5175 | + | 9.54834i | 0.692884 | + | 0.455717i | 0.846483 | − | 0.532416i | \(-0.178716\pi\) |
−0.153598 | + | 0.988133i | \(0.549086\pi\) | |||||||
\(440\) | −5.31988 | + | 1.93628i | −0.253615 | + | 0.0923084i | ||||
\(441\) | −0.439323 | + | 18.1587i | −0.0209202 | + | 0.864699i | ||||
\(442\) | 6.29992 | + | 2.29298i | 0.299657 | + | 0.109066i | ||||
\(443\) | 9.72557 | + | 13.0637i | 0.462076 | + | 0.620675i | 0.970695 | − | 0.240316i | \(-0.0772512\pi\) |
−0.508619 | + | 0.860992i | \(0.669844\pi\) | |||||||
\(444\) | 0.117229 | + | 6.89742i | 0.00556343 | + | 0.327337i | ||||
\(445\) | −0.192845 | − | 0.204404i | −0.00914175 | − | 0.00968968i | ||||
\(446\) | −15.7407 | − | 16.6841i | −0.745343 | − | 0.790017i | ||||
\(447\) | −20.6109 | + | 12.3714i | −0.974864 | + | 0.585149i | ||||
\(448\) | 0.580607 | + | 0.779891i | 0.0274311 | + | 0.0368464i | ||||
\(449\) | −25.5331 | − | 9.29330i | −1.20498 | − | 0.438578i | −0.340022 | − | 0.940417i | \(-0.610435\pi\) |
−0.864961 | + | 0.501840i | \(0.832657\pi\) | |||||||
\(450\) | −1.16167 | + | 2.96639i | −0.0547618 | + | 0.139837i | ||||
\(451\) | 25.4979 | − | 9.28048i | 1.20065 | − | 0.437001i | ||||
\(452\) | 13.5909 | + | 8.93888i | 0.639263 | + | 0.420450i | ||||
\(453\) | −3.85896 | + | 38.7100i | −0.181310 | + | 1.81875i | ||||
\(454\) | 4.81735 | − | 6.47083i | 0.226090 | − | 0.303691i | ||||
\(455\) | −1.98632 | + | 1.30642i | −0.0931199 | + | 0.0612459i | ||||
\(456\) | 3.86729 | − | 6.10337i | 0.181102 | − | 0.285817i | ||||
\(457\) | −9.69386 | − | 32.3798i | −0.453460 | − | 1.51466i | −0.813411 | − | 0.581690i | \(-0.802392\pi\) |
0.359951 | − | 0.932971i | \(-0.382794\pi\) | |||||||
\(458\) | 12.9391 | + | 22.4112i | 0.604605 | + | 1.04721i | ||||
\(459\) | 25.1729 | + | 12.8699i | 1.17497 | + | 0.600717i | ||||
\(460\) | 6.47491 | − | 11.2149i | 0.301894 | − | 0.522896i | ||||
\(461\) | −7.38299 | − | 1.74980i | −0.343860 | − | 0.0814963i | 0.0550573 | − | 0.998483i | \(-0.482466\pi\) |
−0.398917 | + | 0.916987i | \(0.630614\pi\) | |||||||
\(462\) | 4.44305 | + | 1.82763i | 0.206709 | + | 0.0850291i | ||||
\(463\) | 3.86605 | + | 1.94161i | 0.179671 | + | 0.0902341i | 0.536361 | − | 0.843989i | \(-0.319799\pi\) |
−0.356690 | + | 0.934223i | \(0.616095\pi\) | |||||||
\(464\) | −1.39442 | − | 3.23263i | −0.0647344 | − | 0.150071i | ||||
\(465\) | −20.8683 | + | 20.3695i | −0.967744 | + | 0.944614i | ||||
\(466\) | 0.381196 | − | 6.54489i | 0.0176586 | − | 0.303186i | ||||
\(467\) | 0.567766 | − | 3.21996i | 0.0262731 | − | 0.149002i | −0.968849 | − | 0.247652i | \(-0.920341\pi\) |
0.995122 | + | 0.0986496i | \(0.0314523\pi\) | |||||||
\(468\) | −2.91081 | − | 2.27848i | −0.134552 | − | 0.105323i | ||||
\(469\) | −1.22496 | − | 6.94708i | −0.0565633 | − | 0.320786i | ||||
\(470\) | 8.37239 | − | 0.978592i | 0.386190 | − | 0.0451391i | ||||
\(471\) | −23.8257 | + | 4.61991i | −1.09783 | + | 0.212874i | ||||
\(472\) | −0.0633454 | + | 0.211588i | −0.00291571 | + | 0.00973915i | ||||
\(473\) | −29.0747 | + | 6.89082i | −1.33685 | + | 0.316840i | ||||
\(474\) | 1.38540 | + | 3.61405i | 0.0636337 | + | 0.165999i | ||||
\(475\) | 1.75459 | − | 4.06760i | 0.0805061 | − | 0.186634i | ||||
\(476\) | 4.05250 | − | 3.40045i | 0.185746 | − | 0.155859i | ||||
\(477\) | 2.07631 | + | 0.955841i | 0.0950677 | + | 0.0437649i | ||||
\(478\) | 5.76276 | + | 4.83553i | 0.263582 | + | 0.221172i | ||||
\(479\) | 6.32528 | − | 3.17667i | 0.289009 | − | 0.145146i | −0.298388 | − | 0.954445i | \(-0.596449\pi\) |
0.587397 | + | 0.809299i | \(0.300153\pi\) | |||||||
\(480\) | 1.49019 | − | 3.09735i | 0.0680174 | − | 0.141374i | ||||
\(481\) | −4.87433 | − | 0.569727i | −0.222250 | − | 0.0259773i | ||||
\(482\) | −1.63259 | − | 28.0305i | −0.0743625 | − | 1.27675i | ||||
\(483\) | −10.4727 | + | 3.33024i | −0.476522 | + | 0.151531i | ||||
\(484\) | 1.96365 | − | 2.08135i | 0.0892570 | − | 0.0946069i | ||||
\(485\) | 21.0918 | 0.957730 | ||||||||
\(486\) | −10.9974 | − | 11.0480i | −0.498851 | − | 0.501146i | ||||
\(487\) | 4.59607 | 0.208268 | 0.104134 | − | 0.994563i | \(-0.466793\pi\) | ||||
0.104134 | + | 0.994563i | \(0.466793\pi\) | |||||||
\(488\) | −3.05588 | + | 3.23904i | −0.138333 | + | 0.146625i | ||||
\(489\) | 22.3357 | − | 7.10264i | 1.01006 | − | 0.321192i | ||||
\(490\) | −0.698625 | − | 11.9949i | −0.0315606 | − | 0.541875i | ||||
\(491\) | −8.61591 | − | 1.00706i | −0.388831 | − | 0.0454478i | −0.0805682 | − | 0.996749i | \(-0.525673\pi\) |
−0.308263 | + | 0.951301i | \(0.599748\pi\) | |||||||
\(492\) | −7.14239 | + | 14.8455i | −0.322004 | + | 0.669285i | ||||
\(493\) | −17.1178 | + | 8.59686i | −0.770945 | + | 0.387183i | ||||
\(494\) | 3.93759 | + | 3.30403i | 0.177161 | + | 0.148655i | ||||
\(495\) | −1.56313 | − | 16.9118i | −0.0702574 | − | 0.760129i | ||||
\(496\) | −6.49925 | + | 5.45352i | −0.291825 | + | 0.244870i | ||||
\(497\) | 5.72801 | − | 13.2790i | 0.256937 | − | 0.595646i | ||||
\(498\) | −7.26324 | − | 18.9474i | −0.325474 | − | 0.849052i | ||||
\(499\) | 23.1673 | − | 5.49075i | 1.03711 | − | 0.245800i | 0.323416 | − | 0.946257i | \(-0.395169\pi\) |
0.713694 | + | 0.700457i | \(0.247021\pi\) | |||||||
\(500\) | 3.45014 | − | 11.5243i | 0.154295 | − | 0.515381i | ||||
\(501\) | −10.6038 | + | 2.05612i | −0.473743 | + | 0.0918607i | ||||
\(502\) | −8.57295 | + | 1.00203i | −0.382629 | + | 0.0447230i | ||||
\(503\) | −5.01805 | − | 28.4588i | −0.223744 | − | 1.26891i | −0.865072 | − | 0.501647i | \(-0.832728\pi\) |
0.641329 | − | 0.767266i | \(-0.278384\pi\) | |||||||
\(504\) | −2.70546 | + | 1.09019i | −0.120511 | + | 0.0485608i | ||||
\(505\) | 1.75428 | − | 9.94902i | 0.0780644 | − | 0.442725i | ||||
\(506\) | 1.08244 | − | 18.5848i | 0.0481205 | − | 0.826197i | ||||
\(507\) | −14.2312 | + | 13.8911i | −0.632032 | + | 0.616926i | ||||
\(508\) | 2.61729 | + | 6.06756i | 0.116123 | + | 0.269204i | ||||
\(509\) | −3.09062 | − | 1.55217i | −0.136989 | − | 0.0687986i | 0.378984 | − | 0.925403i | \(-0.376273\pi\) |
−0.515974 | + | 0.856604i | \(0.672570\pi\) | |||||||
\(510\) | −17.2955 | − | 7.11445i | −0.765859 | − | 0.315033i | ||||
\(511\) | −6.81594 | − | 1.61541i | −0.301519 | − | 0.0714614i | ||||
\(512\) | 0.500000 | − | 0.866025i | 0.0220971 | − | 0.0382733i | ||||
\(513\) | 14.7614 | + | 15.8734i | 0.651731 | + | 0.700828i | ||||
\(514\) | 3.21412 | + | 5.56703i | 0.141769 | + | 0.245551i | ||||
\(515\) | 8.90843 | + | 29.7562i | 0.392552 | + | 1.31122i | ||||
\(516\) | 9.70982 | − | 15.3241i | 0.427451 | − | 0.674605i | ||||
\(517\) | 10.1243 | − | 6.65889i | 0.445268 | − | 0.292857i | ||||
\(518\) | −2.31244 | + | 3.10615i | −0.101603 | + | 0.136476i | ||||
\(519\) | 2.06877 | − | 20.7522i | 0.0908090 | − | 0.910921i | ||||
\(520\) | 2.04294 | + | 1.34366i | 0.0895888 | + | 0.0589235i | ||||
\(521\) | 16.4823 | − | 5.99907i | 0.722103 | − | 0.262824i | 0.0452845 | − | 0.998974i | \(-0.485581\pi\) |
0.676818 | + | 0.736150i | \(0.263358\pi\) | |||||||
\(522\) | 10.4425 | − | 1.58191i | 0.457057 | − | 0.0692383i | ||||
\(523\) | −19.7671 | − | 7.19463i | −0.864354 | − | 0.314599i | −0.128476 | − | 0.991713i | \(-0.541008\pi\) |
−0.735879 | + | 0.677113i | \(0.763231\pi\) | |||||||
\(524\) | −12.8481 | − | 17.2579i | −0.561270 | − | 0.753916i | ||||
\(525\) | −1.53330 | + | 0.920343i | −0.0669187 | + | 0.0401671i | ||||
\(526\) | −3.85169 | − | 4.08256i | −0.167942 | − | 0.178008i | ||||
\(527\) | 31.6784 | + | 33.5771i | 1.37993 | + | 1.46264i | ||||
\(528\) | −0.0839690 | − | 4.94050i | −0.00365428 | − | 0.215008i | ||||
\(529\) | 11.6945 | + | 15.7084i | 0.508455 | + | 0.682974i | ||||
\(530\) | −1.42081 | − | 0.517134i | −0.0617163 | − | 0.0224629i | ||||
\(531\) | −0.565649 | − | 0.345083i | −0.0245471 | − | 0.0149753i | ||||
\(532\) | 3.81138 | − | 1.38723i | 0.165244 | − | 0.0601440i | ||||
\(533\) | −9.79171 | − | 6.44011i | −0.424126 | − | 0.278952i | ||||
\(534\) | 0.223530 | − | 0.100961i | 0.00967310 | − | 0.00436901i | ||||
\(535\) | 7.08199 | − | 9.51276i | 0.306181 | − | 0.411272i | ||||
\(536\) | −6.06175 | + | 3.98688i | −0.261828 | + | 0.172207i | ||||
\(537\) | 8.44532 | + | 16.1267i | 0.364443 | + | 0.695919i | ||||
\(538\) | 7.94942 | + | 26.5529i | 0.342724 | + | 1.14478i | ||||
\(539\) | −8.63641 | − | 14.9587i | −0.371997 | − | 0.644317i | ||||
\(540\) | 7.85123 | + | 6.68480i | 0.337863 | + | 0.287668i | ||||
\(541\) | −20.1667 | + | 34.9297i | −0.867033 | + | 1.50174i | −0.00201779 | + | 0.999998i | \(0.500642\pi\) |
−0.865015 | + | 0.501746i | \(0.832691\pi\) | |||||||
\(542\) | 1.74788 | + | 0.414255i | 0.0750778 | + | 0.0177938i | ||||
\(543\) | 4.89889 | + | 36.5191i | 0.210231 | + | 1.56719i | ||||
\(544\) | −4.86223 | − | 2.44190i | −0.208466 | − | 0.104696i | ||||
\(545\) | 2.33618 | + | 5.41587i | 0.100071 | + | 0.231990i | ||||
\(546\) | −0.512779 | − | 2.01068i | −0.0219449 | − | 0.0860492i | ||||
\(547\) | 1.80071 | − | 30.9170i | 0.0769927 | − | 1.32191i | −0.709672 | − | 0.704533i | \(-0.751157\pi\) |
0.786664 | − | 0.617381i | \(-0.211806\pi\) | |||||||
\(548\) | 3.51674 | − | 19.9444i | 0.150228 | − | 0.851984i | ||||
\(549\) | −7.06889 | − | 11.3357i | −0.301693 | − | 0.483797i | ||||
\(550\) | −0.526057 | − | 2.98341i | −0.0224311 | − | 0.127213i | ||||
\(551\) | −14.5871 | + | 1.70499i | −0.621431 | + | 0.0726349i | ||||
\(552\) | 7.41131 | + | 8.53364i | 0.315446 | + | 0.363216i | ||||
\(553\) | −0.623135 | + | 2.08142i | −0.0264984 | + | 0.0885109i | ||||
\(554\) | 8.14506 | − | 1.93041i | 0.346050 | − | 0.0820154i | ||||
\(555\) | 13.5201 | + | 2.14774i | 0.573897 | + | 0.0911663i | ||||
\(556\) | 0.374476 | − | 0.868133i | 0.0158813 | − | 0.0368170i | ||||
\(557\) | 10.3130 | − | 8.65366i | 0.436977 | − | 0.366667i | −0.397600 | − | 0.917559i | \(-0.630157\pi\) |
0.834577 | + | 0.550892i | \(0.185712\pi\) | |||||||
\(558\) | −10.8696 | − | 23.0148i | −0.460147 | − | 0.974295i | ||||
\(559\) | 9.88634 | + | 8.29562i | 0.418148 | + | 0.350867i | ||||
\(560\) | 1.72423 | − | 0.865939i | 0.0728619 | − | 0.0365926i | ||||
\(561\) | −26.8091 | + | 2.01910i | −1.13188 | + | 0.0852464i | ||||
\(562\) | −14.5672 | − | 1.70266i | −0.614480 | − | 0.0718224i | ||||
\(563\) | −0.458868 | − | 7.87846i | −0.0193390 | − | 0.332037i | −0.994076 | − | 0.108684i | \(-0.965336\pi\) |
0.974737 | − | 0.223354i | \(-0.0717006\pi\) | |||||||
\(564\) | −1.57479 | + | 7.18671i | −0.0663107 | + | 0.302615i | ||||
\(565\) | 22.1528 | − | 23.4806i | 0.931974 | − | 0.987835i | ||||
\(566\) | 21.3373 | 0.896872 | ||||||||
\(567\) | −1.10100 | − | 8.68100i | −0.0462377 | − | 0.364568i | ||||
\(568\) | −14.8740 | −0.624101 | ||||||||
\(569\) | −25.8894 | + | 27.4412i | −1.08534 | + | 1.15039i | −0.0974514 | + | 0.995240i | \(0.531069\pi\) |
−0.987890 | + | 0.155155i | \(0.950412\pi\) | |||||||
\(570\) | −10.5952 | − | 9.66110i | −0.443786 | − | 0.404659i | ||||
\(571\) | 0.919070 | + | 15.7798i | 0.0384619 | + | 0.660365i | 0.961355 | + | 0.275310i | \(0.0887805\pi\) |
−0.922894 | + | 0.385055i | \(0.874182\pi\) | |||||||
\(572\) | 3.49140 | + | 0.408086i | 0.145983 | + | 0.0170629i | ||||
\(573\) | −5.24934 | − | 7.69322i | −0.219294 | − | 0.321389i | ||||
\(574\) | −8.26413 | + | 4.15040i | −0.344938 | + | 0.173234i | ||||
\(575\) | 5.30840 | + | 4.45428i | 0.221376 | + | 0.185756i | ||||
\(576\) | 2.13169 | + | 2.11090i | 0.0888204 | + | 0.0879542i | ||||
\(577\) | 5.24576 | − | 4.40171i | 0.218384 | − | 0.183246i | −0.527032 | − | 0.849845i | \(-0.676695\pi\) |
0.745416 | + | 0.666600i | \(0.232251\pi\) | |||||||
\(578\) | −4.99225 | + | 11.5733i | −0.207650 | + | 0.481387i | ||||
\(579\) | 1.94107 | − | 2.39477i | 0.0806680 | − | 0.0995232i | ||||
\(580\) | −6.79809 | + | 1.61118i | −0.282275 | + | 0.0669005i | ||||
\(581\) | 3.26691 | − | 10.9122i | 0.135534 | − | 0.452716i | ||||
\(582\) | −6.00139 | + | 17.4034i | −0.248766 | + | 0.721393i | ||||
\(583\) | −2.15892 | + | 0.252341i | −0.0894132 | + | 0.0104509i | ||||
\(584\) | 1.25104 | + | 7.09499i | 0.0517683 | + | 0.293593i | ||||
\(585\) | −5.45593 | + | 4.90348i | −0.225575 | + | 0.202734i | ||||
\(586\) | 2.69436 | − | 15.2805i | 0.111303 | − | 0.631230i | ||||
\(587\) | −0.563435 | + | 9.67381i | −0.0232555 | + | 0.399281i | 0.966515 | + | 0.256611i | \(0.0826058\pi\) |
−0.989770 | + | 0.142670i | \(0.954431\pi\) | |||||||
\(588\) | 10.0961 | + | 2.83654i | 0.416356 | + | 0.116977i | ||||
\(589\) | 14.0183 | + | 32.4981i | 0.577615 | + | 1.33906i | ||||
\(590\) | 0.391681 | + | 0.196710i | 0.0161253 | + | 0.00809841i | ||||
\(591\) | 19.3459 | − | 14.9201i | 0.795786 | − | 0.613731i | ||||
\(592\) | 3.87544 | + | 0.918497i | 0.159280 | + | 0.0377500i | ||||
\(593\) | 0.957963 | − | 1.65924i | 0.0393388 | − | 0.0681368i | −0.845686 | − | 0.533681i | \(-0.820808\pi\) |
0.885024 | + | 0.465545i | \(0.154142\pi\) | |||||||
\(594\) | 14.3991 | + | 3.52225i | 0.590803 | + | 0.144520i | ||||
\(595\) | −5.24906 | − | 9.09164i | −0.215190 | − | 0.372721i | ||||
\(596\) | 3.98049 | + | 13.2958i | 0.163047 | + | 0.544615i | ||||
\(597\) | 48.6433 | + | 2.00442i | 1.99084 | + | 0.0820355i | ||||
\(598\) | −6.71790 | + | 4.41843i | −0.274715 | + | 0.180683i | ||||
\(599\) | −0.862763 | + | 1.15889i | −0.0352515 | + | 0.0473510i | −0.819399 | − | 0.573223i | \(-0.805693\pi\) |
0.784148 | + | 0.620574i | \(0.213100\pi\) | |||||||
\(600\) | 1.49379 | + | 1.07312i | 0.0609836 | + | 0.0438098i | ||||
\(601\) | 39.7954 | + | 26.1738i | 1.62329 | + | 1.06765i | 0.941987 | + | 0.335650i | \(0.108956\pi\) |
0.681301 | + | 0.732003i | \(0.261414\pi\) | |||||||
\(602\) | 9.56945 | − | 3.48300i | 0.390022 | − | 0.141956i | ||||
\(603\) | −6.94755 | − | 20.6275i | −0.282926 | − | 0.840015i | ||||
\(604\) | 21.1055 | + | 7.68177i | 0.858770 | + | 0.312567i | ||||
\(605\) | −3.39094 | − | 4.55482i | −0.137861 | − | 0.185180i | ||||
\(606\) | 7.71002 | + | 4.27836i | 0.313198 | + | 0.173796i | ||||
\(607\) | −15.2794 | − | 16.1952i | −0.620171 | − | 0.657343i | 0.338796 | − | 0.940860i | \(-0.389980\pi\) |
−0.958967 | + | 0.283517i | \(0.908499\pi\) | |||||||
\(608\) | −2.86273 | − | 3.03432i | −0.116099 | − | 0.123058i | ||||
\(609\) | 5.18410 | + | 2.87670i | 0.210070 | + | 0.116570i | ||||
\(610\) | 5.27705 | + | 7.08831i | 0.213662 | + | 0.286997i | ||||
\(611\) | −4.91827 | − | 1.79010i | −0.198972 | − | 0.0724198i | ||||
\(612\) | 10.7915 | − | 12.2466i | 0.436221 | − | 0.495041i | ||||
\(613\) | −25.2994 | + | 9.20823i | −1.02183 | + | 0.371917i | −0.797966 | − | 0.602703i | \(-0.794091\pi\) |
−0.223868 | + | 0.974620i | \(0.571868\pi\) | |||||||
\(614\) | −0.703245 | − | 0.462532i | −0.0283807 | − | 0.0186663i | ||||
\(615\) | 26.5514 | + | 19.0742i | 1.07066 | + | 0.769146i | ||||
\(616\) | 1.65636 | − | 2.22488i | 0.0667368 | − | 0.0896430i | ||||
\(617\) | −29.6392 | + | 19.4940i | −1.19323 | + | 0.784800i | −0.981300 | − | 0.192485i | \(-0.938345\pi\) |
−0.211930 | + | 0.977285i | \(0.567975\pi\) | |||||||
\(618\) | −27.0874 | − | 1.11618i | −1.08961 | − | 0.0448992i | ||||
\(619\) | 5.62648 | + | 18.7937i | 0.226147 | + | 0.755384i | 0.993467 | + | 0.114120i | \(0.0364047\pi\) |
−0.767320 | + | 0.641265i | \(0.778410\pi\) | |||||||
\(620\) | 8.41825 | + | 14.5808i | 0.338085 | + | 0.585581i | ||||
\(621\) | −30.4100 | + | 14.9995i | −1.22031 | + | 0.601910i | ||||
\(622\) | −3.74794 | + | 6.49163i | −0.150279 | + | 0.260291i | ||||
\(623\) | 0.133972 | + | 0.0317520i | 0.00536748 | + | 0.00127212i | ||||
\(624\) | −1.68998 | + | 1.30336i | −0.0676533 | + | 0.0521761i | ||||
\(625\) | −16.5883 | − | 8.33096i | −0.663532 | − | 0.333238i | ||||
\(626\) | −11.2311 | − | 26.0367i | −0.448886 | − | 1.04063i | ||||
\(627\) | −19.8445 | − | 5.57541i | −0.792513 | − | 0.222660i | ||||
\(628\) | −0.814726 | + | 13.9883i | −0.0325111 | + | 0.558194i | ||||
\(629\) | 3.76301 | − | 21.3411i | 0.150041 | − | 0.850925i | ||||
\(630\) | 1.19827 | + | 5.66299i | 0.0477404 | + | 0.225619i | ||||
\(631\) | 0.517896 | + | 2.93714i | 0.0206171 | + | 0.116926i | 0.993379 | − | 0.114879i | \(-0.0366481\pi\) |
−0.972762 | + | 0.231805i | \(0.925537\pi\) | |||||||
\(632\) | 2.21952 | − | 0.259425i | 0.0882878 | − | 0.0103194i | ||||
\(633\) | −4.39290 | + | 12.7389i | −0.174602 | + | 0.506326i | ||||
\(634\) | −0.0845419 | + | 0.282390i | −0.00335759 | + | 0.0112151i | ||||
\(635\) | 12.7598 | − | 3.02413i | 0.506358 | − | 0.120009i | ||||
\(636\) | 0.830974 | − | 1.02521i | 0.0329503 | − | 0.0406520i | ||||
\(637\) | −2.95492 | + | 6.85027i | −0.117078 | + | 0.271418i | ||||
\(638\) | −7.69376 | + | 6.45583i | −0.304599 | + | 0.255589i | ||||
\(639\) | 11.3377 | − | 43.1577i | 0.448513 | − | 1.70729i | ||||
\(640\) | −1.52019 | − | 1.27559i | −0.0600906 | − | 0.0504220i | ||||
\(641\) | −28.3678 | + | 14.2469i | −1.12046 | + | 0.562717i | −0.909885 | − | 0.414860i | \(-0.863830\pi\) |
−0.210577 | + | 0.977577i | \(0.567534\pi\) | |||||||
\(642\) | 5.83412 | + | 8.55025i | 0.230254 | + | 0.337451i | ||||
\(643\) | −0.206843 | − | 0.0241765i | −0.00815709 | − | 0.000953427i | 0.112013 | − | 0.993707i | \(-0.464270\pi\) |
−0.120170 | + | 0.992753i | \(0.538344\pi\) | |||||||
\(644\) | 0.368913 | + | 6.33400i | 0.0145372 | + | 0.249595i | ||||
\(645\) | −26.6021 | − | 24.2567i | −1.04746 | − | 0.955106i | ||||
\(646\) | −15.5761 | + | 16.5097i | −0.612832 | + | 0.649564i | ||||
\(647\) | 6.27460 | 0.246680 | 0.123340 | − | 0.992364i | \(-0.460639\pi\) | ||||
0.123340 | + | 0.992364i | \(0.460639\pi\) | |||||||
\(648\) | −7.74976 | + | 4.57617i | −0.304439 | + | 0.179769i | ||||
\(649\) | 0.630093 | 0.0247333 | ||||||||
\(650\) | −0.897922 | + | 0.951742i | −0.0352194 | + | 0.0373304i | ||||
\(651\) | 3.05824 | − | 13.9566i | 0.119862 | − | 0.547001i | ||||
\(652\) | −0.786807 | − | 13.5090i | −0.0308137 | − | 0.529051i | ||||
\(653\) | −13.8519 | − | 1.61905i | −0.542066 | − | 0.0633584i | −0.159346 | − | 0.987223i | \(-0.550939\pi\) |
−0.382720 | + | 0.923864i | \(0.625013\pi\) | |||||||
\(654\) | −5.13349 | + | 0.386623i | −0.200735 | + | 0.0151182i | ||||
\(655\) | −38.1548 | + | 19.1621i | −1.49083 | + | 0.748724i | ||||
\(656\) | 7.28618 | + | 6.11383i | 0.284477 | + | 0.238705i | ||||
\(657\) | −21.5400 | − | 1.77820i | −0.840357 | − | 0.0693742i | ||||
\(658\) | −3.16373 | + | 2.65469i | −0.123335 | + | 0.103491i | ||||
\(659\) | −6.52478 | + | 15.1261i | −0.254169 | + | 0.589231i | −0.996753 | − | 0.0805227i | \(-0.974341\pi\) |
0.742583 | + | 0.669754i | \(0.233600\pi\) | |||||||
\(660\) | −9.68422 | − | 1.53839i | −0.376958 | − | 0.0598816i | ||||
\(661\) | 7.39619 | − | 1.75293i | 0.287679 | − | 0.0681811i | −0.0842429 | − | 0.996445i | \(-0.526847\pi\) |
0.371922 | + | 0.928264i | \(0.378699\pi\) | |||||||
\(662\) | −7.46505 | + | 24.9350i | −0.290137 | + | 0.969126i | ||||
\(663\) | 7.61418 | + | 8.76724i | 0.295710 | + | 0.340491i | ||||
\(664\) | −11.6363 | + | 1.36008i | −0.451575 | + | 0.0527815i | ||||
\(665\) | −1.39769 | − | 7.92667i | −0.0541999 | − | 0.307383i | ||||
\(666\) | −5.61912 | + | 10.5447i | −0.217736 | + | 0.408597i | ||||
\(667\) | 3.98935 | − | 22.6247i | 0.154468 | − | 0.876034i | ||||
\(668\) | −0.362599 | + | 6.22559i | −0.0140294 | + | 0.240875i | ||||
\(669\) | −9.81774 | − | 38.4968i | −0.379576 | − | 1.48837i | ||||
\(670\) | 5.70274 | + | 13.2204i | 0.220316 | + | 0.510750i | ||||
\(671\) | 11.3525 | + | 5.70144i | 0.438258 | + | 0.220102i | ||||
\(672\) | 0.223902 | + | 1.66909i | 0.00863719 | + | 0.0643866i | ||||
\(673\) | 35.8100 | + | 8.48713i | 1.38037 | + | 0.327155i | 0.852749 | − | 0.522322i | \(-0.174934\pi\) |
0.527626 | + | 0.849477i | \(0.323082\pi\) | |||||||
\(674\) | 2.92600 | − | 5.06798i | 0.112705 | − | 0.195211i | ||||
\(675\) | −4.25234 | + | 3.51631i | −0.163672 | + | 0.135343i | ||||
\(676\) | 5.74087 | + | 9.94348i | 0.220803 | + | 0.382442i | ||||
\(677\) | −3.60674 | − | 12.0473i | −0.138618 | − | 0.463017i | 0.860286 | − | 0.509811i | \(-0.170285\pi\) |
−0.998905 | + | 0.0467941i | \(0.985100\pi\) | |||||||
\(678\) | 13.0711 | + | 24.9599i | 0.501993 | + | 0.958578i | ||||
\(679\) | −8.63384 | + | 5.67857i | −0.331336 | + | 0.217923i | ||||
\(680\) | −6.44776 | + | 8.66084i | −0.247260 | + | 0.332128i | ||||
\(681\) | 12.7340 | − | 5.75152i | 0.487969 | − | 0.220399i | ||||
\(682\) | 20.2219 | + | 13.3002i | 0.774338 | + | 0.509290i | ||||
\(683\) | −39.4063 | + | 14.3427i | −1.50784 | + | 0.548809i | −0.958077 | − | 0.286510i | \(-0.907505\pi\) |
−0.549765 | + | 0.835320i | \(0.685283\pi\) | |||||||
\(684\) | 10.9863 | − | 5.99345i | 0.420073 | − | 0.229165i | ||||
\(685\) | −37.7658 | − | 13.7456i | −1.44296 | − | 0.525194i | ||||
\(686\) | 7.57963 | + | 10.1812i | 0.289392 | + | 0.388720i | ||||
\(687\) | 0.761693 | + | 44.8159i | 0.0290604 | + | 1.70983i | ||||
\(688\) | −7.18763 | − | 7.61844i | −0.274026 | − | 0.290450i | ||||
\(689\) | 0.644257 | + | 0.682872i | 0.0245442 | + | 0.0260154i | ||||
\(690\) | 19.2313 | − | 11.5433i | 0.732124 | − | 0.439448i | ||||
\(691\) | 8.96528 | + | 12.0425i | 0.341055 | + | 0.458117i | 0.939250 | − | 0.343234i | \(-0.111522\pi\) |
−0.598194 | + | 0.801351i | \(0.704115\pi\) | |||||||
\(692\) | −11.3145 | − | 4.11816i | −0.430114 | − | 0.156549i | ||||
\(693\) | 5.19304 | + | 6.50193i | 0.197267 | + | 0.246988i | ||||
\(694\) | 21.2024 | − | 7.71704i | 0.804832 | − | 0.292935i | ||||
\(695\) | −1.56756 | − | 1.03100i | −0.0594609 | − | 0.0391081i | ||||
\(696\) | 0.604885 | − | 6.06771i | 0.0229281 | − | 0.229996i | ||||
\(697\) | 30.9038 | − | 41.5110i | 1.17056 | − | 1.57234i | ||||
\(698\) | −26.9290 | + | 17.7115i | −1.01928 | + | 0.670390i | ||||
\(699\) | 6.07771 | − | 9.59187i | 0.229880 | − | 0.362798i | ||||
\(700\) | 0.296119 | + | 0.989105i | 0.0111922 | + | 0.0373846i | ||||
\(701\) | −0.796766 | − | 1.38004i | −0.0300934 | − | 0.0521234i | 0.850586 | − | 0.525835i | \(-0.176247\pi\) |
−0.880680 | + | 0.473712i | \(0.842914\pi\) | |||||||
\(702\) | −2.49357 | − | 5.89704i | −0.0941137 | − | 0.222569i | ||||
\(703\) | 8.30735 | − | 14.3888i | 0.313318 | − | 0.542682i | ||||
\(704\) | −2.77591 | − | 0.657904i | −0.104621 | − | 0.0247957i | ||||
\(705\) | 13.5024 | + | 5.55416i | 0.508530 | + | 0.209182i | ||||
\(706\) | −8.15601 | − | 4.09610i | −0.306956 | − | 0.154159i | ||||
\(707\) | 1.96048 | + | 4.54489i | 0.0737313 | + | 0.170928i | ||||
\(708\) | −0.273758 | + | 0.267215i | −0.0102884 | + | 0.0100425i | ||||
\(709\) | 0.669472 | − | 11.4944i | 0.0251426 | − | 0.431681i | −0.962125 | − | 0.272610i | \(-0.912113\pi\) |
0.987267 | − | 0.159071i | \(-0.0508499\pi\) | |||||||
\(710\) | −5.12556 | + | 29.0685i | −0.192359 | + | 1.09092i | ||||
\(711\) | −0.939094 | + | 6.63779i | −0.0352188 | + | 0.248937i | ||||
\(712\) | −0.0245901 | − | 0.139457i | −0.000921552 | − | 0.00522638i | ||||
\(713\) | −54.9900 | + | 6.42741i | −2.05939 | + | 0.240708i | ||||
\(714\) | 8.99528 | − | 1.74422i | 0.336640 | − | 0.0652759i | ||||
\(715\) | 2.00066 | − | 6.68266i | 0.0748203 | − | 0.249917i | ||||
\(716\) | 10.2269 | − | 2.42383i | 0.382198 | − | 0.0905826i | ||||
\(717\) | 4.66387 | + | 12.1665i | 0.174175 | + | 0.454366i | ||||
\(718\) | −0.527948 | + | 1.22392i | −0.0197028 | + | 0.0456763i | ||||
\(719\) | 28.3871 | − | 23.8196i | 1.05866 | − | 0.888321i | 0.0646828 | − | 0.997906i | \(-0.479396\pi\) |
0.993977 | + | 0.109584i | \(0.0349520\pi\) | |||||||
\(720\) | 4.85994 | − | 3.43858i | 0.181119 | − | 0.128148i | ||||
\(721\) | −11.6579 | − | 9.78216i | −0.434164 | − | 0.364307i | ||||
\(722\) | 1.42770 | − | 0.717020i | 0.0531336 | − | 0.0266847i | ||||
\(723\) | 21.0846 | − | 43.8243i | 0.784143 | − | 1.62984i | ||||
\(724\) | 21.1293 | + | 2.46967i | 0.785266 | + | 0.0917844i | ||||
\(725\) | −0.217376 | − | 3.73220i | −0.00807314 | − | 0.138610i | ||||
\(726\) | 4.72314 | − | 1.50193i | 0.175292 | − | 0.0557419i | ||||
\(727\) | −11.2689 | + | 11.9444i | −0.417941 | + | 0.442992i | −0.901800 | − | 0.432154i | \(-0.857754\pi\) |
0.483858 | + | 0.875146i | \(0.339235\pi\) | |||||||
\(728\) | −1.19802 | −0.0444017 | ||||||||
\(729\) | −7.37072 | − | 25.9745i | −0.272990 | − | 0.962017i | ||||
\(730\) | 14.2969 | 0.529153 | ||||||||
\(731\) | −39.1077 | + | 41.4517i | −1.44645 | + | 1.53315i | ||||
\(732\) | −7.35025 | + | 2.33734i | −0.271673 | + | 0.0863905i | ||||
\(733\) | 2.18643 | + | 37.5395i | 0.0807575 | + | 1.38655i | 0.758701 | + | 0.651439i | \(0.225834\pi\) |
−0.677944 | + | 0.735114i | \(0.737129\pi\) | |||||||
\(734\) | −10.8645 | − | 1.26987i | −0.401015 | − | 0.0468719i | ||||
\(735\) | 9.02259 | − | 18.7534i | 0.332803 | − | 0.691731i | ||||
\(736\) | 5.83149 | − | 2.92869i | 0.214952 | − | 0.107953i | ||||
\(737\) | 15.8557 | + | 13.3045i | 0.584052 | + | 0.490078i | ||||
\(738\) | −23.2934 | + | 16.4809i | −0.857443 | + | 0.606671i | ||||
\(739\) | −5.93639 | + | 4.98123i | −0.218374 | + | 0.183237i | −0.745412 | − | 0.666604i | \(-0.767747\pi\) |
0.527038 | + | 0.849842i | \(0.323303\pi\) | |||||||
\(740\) | 3.13050 | − | 7.25732i | 0.115080 | − | 0.266784i | ||||
\(741\) | 3.18674 | + | 8.31315i | 0.117068 | + | 0.305391i | ||||
\(742\) | 0.720833 | − | 0.170840i | 0.0264626 | − | 0.00627175i | ||||
\(743\) | −7.94369 | + | 26.5338i | −0.291426 | + | 0.973430i | 0.679425 | + | 0.733745i | \(0.262229\pi\) |
−0.970851 | + | 0.239685i | \(0.922956\pi\) | |||||||
\(744\) | −14.4263 | + | 2.79732i | −0.528894 | + | 0.102555i | ||||
\(745\) | 27.3557 | − | 3.19743i | 1.00224 | − | 0.117145i | ||||
\(746\) | 1.46221 | + | 8.29263i | 0.0535355 | + | 0.303615i | ||||
\(747\) | 4.92338 | − | 34.7999i | 0.180137 | − | 1.27326i | ||||
\(748\) | −2.69538 | + | 15.2863i | −0.0985528 | + | 0.558921i | ||||
\(749\) | −0.337852 | + | 5.80069i | −0.0123448 | + | 0.211953i | ||||
\(750\) | 14.9103 | − | 14.5540i | 0.544449 | − | 0.531436i | ||||
\(751\) | −16.7919 | − | 38.9280i | −0.612745 | − | 1.42050i | −0.888321 | − | 0.459223i | \(-0.848128\pi\) |
0.275576 | − | 0.961279i | \(-0.411131\pi\) | |||||||
\(752\) | 3.79588 | + | 1.90636i | 0.138422 | + | 0.0695179i | ||||
\(753\) | −13.8259 | − | 5.68721i | −0.503842 | − | 0.207254i | ||||
\(754\) | 4.22102 | + | 1.00040i | 0.153720 | + | 0.0364324i | ||||
\(755\) | 22.2855 | − | 38.5996i | 0.811052 | − | 1.40478i | ||||
\(756\) | −5.01362 | − | 0.622602i | −0.182344 | − | 0.0226438i | ||||
\(757\) | 18.8633 | + | 32.6722i | 0.685598 | + | 1.18749i | 0.973249 | + | 0.229755i | \(0.0737924\pi\) |
−0.287651 | + | 0.957735i | \(0.592874\pi\) | |||||||
\(758\) | −3.14803 | − | 10.5151i | −0.114341 | − | 0.381927i | ||||
\(759\) | 17.2582 | − | 27.2370i | 0.626434 | − | 0.988642i | ||||
\(760\) | −6.91651 | + | 4.54906i | −0.250888 | + | 0.165012i | ||||
\(761\) | 29.8042 | − | 40.0340i | 1.08040 | − | 1.45123i | 0.198316 | − | 0.980138i | \(-0.436453\pi\) |
0.882084 | − | 0.471092i | \(-0.156140\pi\) | |||||||
\(762\) | −1.13535 | + | 11.3889i | −0.0411294 | + | 0.412577i | ||||
\(763\) | −2.41442 | − | 1.58799i | −0.0874079 | − | 0.0574891i | ||||
\(764\) | −5.05287 | + | 1.83909i | −0.182806 | + | 0.0665361i | ||||
\(765\) | −20.2150 | − | 25.3102i | −0.730876 | − | 0.915092i | ||||
\(766\) | −14.3346 | − | 5.21738i | −0.517931 | − | 0.188512i | ||||
\(767\) | −0.162515 | − | 0.218296i | −0.00586808 | − | 0.00788220i | ||||
\(768\) | 1.48507 | − | 0.891391i | 0.0535877 | − | 0.0321653i | ||||
\(769\) | 7.10006 | + | 7.52562i | 0.256035 | + | 0.271381i | 0.842622 | − | 0.538505i | \(-0.181011\pi\) |
−0.586588 | + | 0.809886i | \(0.699529\pi\) | |||||||
\(770\) | −3.77734 | − | 4.00374i | −0.136126 | − | 0.144285i | ||||
\(771\) | 0.189207 | + | 11.1324i | 0.00681414 | + | 0.400925i | ||||
\(772\) | −1.06280 | − | 1.42759i | −0.0382510 | − | 0.0513800i | ||||
\(773\) | 1.90289 | + | 0.692597i | 0.0684424 | + | 0.0249110i | 0.376014 | − | 0.926614i | \(-0.377294\pi\) |
−0.307572 | + | 0.951525i | \(0.599517\pi\) | |||||||
\(774\) | 27.5840 | − | 15.0481i | 0.991488 | − | 0.540893i | ||||
\(775\) | −8.46611 | + | 3.08141i | −0.304112 | + | 0.110688i | ||||
\(776\) | 8.87997 | + | 5.84045i | 0.318772 | + | 0.209660i | ||||
\(777\) | −6.11263 | + | 2.76086i | −0.219289 | + | 0.0990454i | ||||
\(778\) | 15.4859 | − | 20.8012i | 0.555196 | − | 0.745758i | ||||
\(779\) | 33.1505 | − | 21.8034i | 1.18774 | − | 0.781188i | ||||
\(780\) | 1.96481 | + | 3.75188i | 0.0703513 | + | 0.134339i | ||||
\(781\) | 12.1699 | + | 40.6502i | 0.435472 | + | 1.45458i | ||||
\(782\) | −17.7528 | − | 30.7488i | −0.634839 | − | 1.09957i | ||||
\(783\) | 17.1447 | + | 6.38021i | 0.612701 | + | 0.228010i | ||||
\(784\) | 3.02733 | − | 5.24349i | 0.108119 | − | 0.187268i | ||||
\(785\) | 27.0568 | + | 6.41257i | 0.965697 | + | 0.228874i | ||||
\(786\) | −4.95464 | − | 36.9348i | −0.176726 | − | 1.31742i | ||||
\(787\) | 14.3759 | + | 7.21987i | 0.512447 | + | 0.257360i | 0.686179 | − | 0.727432i | \(-0.259287\pi\) |
−0.173733 | + | 0.984793i | \(0.555583\pi\) | |||||||
\(788\) | −5.58681 | − | 12.9517i | −0.199022 | − | 0.461385i | ||||
\(789\) | −2.40237 | − | 9.42004i | −0.0855266 | − | 0.335362i | ||||
\(790\) | 0.257845 | − | 4.42704i | 0.00917373 | − | 0.157507i | ||||
\(791\) | −2.74645 | + | 15.5759i | −0.0976524 | + | 0.553814i | ||||
\(792\) | 4.02488 | − | 7.55296i | 0.143018 | − | 0.268383i | ||||
\(793\) | −0.952801 | − | 5.40360i | −0.0338349 | − | 0.191887i | ||||
\(794\) | −13.2837 | + | 1.55265i | −0.471422 | + | 0.0551013i | ||||
\(795\) | −1.71722 | − | 1.97727i | −0.0609035 | − | 0.0701264i | ||||
\(796\) | 8.06147 | − | 26.9272i | 0.285731 | − | 0.954409i | ||||
\(797\) | −42.7440 | + | 10.1305i | −1.51407 | + | 0.358842i | −0.901921 | − | 0.431900i | \(-0.857843\pi\) |
−0.612150 | + | 0.790742i | \(0.709695\pi\) | |||||||
\(798\) | 6.93818 | + | 1.10216i | 0.245609 | + | 0.0390162i | ||||
\(799\) | 9.15403 | − | 21.2214i | 0.323846 | − | 0.750760i | ||||
\(800\) | 0.813473 | − | 0.682585i | 0.0287606 | − | 0.0241330i | ||||
\(801\) | 0.423385 | + | 0.0349518i | 0.0149596 | + | 0.00123496i | ||||
\(802\) | 2.84717 | + | 2.38906i | 0.100537 | + | 0.0843605i | ||||
\(803\) | 18.3668 | − | 9.22413i | 0.648149 | − | 0.325513i | ||||
\(804\) | −12.5311 | + | 0.943770i | −0.441939 | + | 0.0332842i | ||||
\(805\) | 12.5057 | + | 1.46171i | 0.440770 | + | 0.0515186i | ||||
\(806\) | −0.607845 | − | 10.4363i | −0.0214104 | − | 0.367603i | ||||
\(807\) | −10.2759 | + | 46.8952i | −0.361730 | + | 1.65079i | ||||
\(808\) | 3.49352 | − | 3.70291i | 0.122902 | − | 0.130268i | ||||
\(809\) | −1.86416 | −0.0655403 | −0.0327702 | − | 0.999463i | \(-0.510433\pi\) | ||||
−0.0327702 | + | 0.999463i | \(0.510433\pi\) | |||||||
\(810\) | 6.27271 | + | 16.7224i | 0.220401 | + | 0.587565i | ||||
\(811\) | −21.1302 | −0.741980 | −0.370990 | − | 0.928637i | \(-0.620982\pi\) | ||||
−0.370990 | + | 0.928637i | \(0.620982\pi\) | |||||||
\(812\) | 2.34899 | − | 2.48978i | 0.0824334 | − | 0.0873743i | ||||
\(813\) | 2.29902 | + | 2.09632i | 0.0806301 | + | 0.0735213i | ||||
\(814\) | −0.660652 | − | 11.3430i | −0.0231559 | − | 0.397571i | ||||
\(815\) | −26.6718 | − | 3.11749i | −0.934274 | − | 0.109201i | ||||
\(816\) | −5.31165 | − | 7.78453i | −0.185945 | − | 0.272513i | ||||
\(817\) | −39.0456 | + | 19.6094i | −1.36603 | + | 0.686047i | ||||
\(818\) | 7.28780 | + | 6.11519i | 0.254812 | + | 0.213812i | ||||
\(819\) | 0.913192 | − | 3.47612i | 0.0319095 | − | 0.121466i | ||||
\(820\) | 14.4591 | − | 12.1327i | 0.504935 | − | 0.423691i | ||||
\(821\) | 13.6271 | − | 31.5913i | 0.475590 | − | 1.10254i | −0.496521 | − | 0.868025i | \(-0.665390\pi\) |
0.972112 | − | 0.234518i | \(-0.0753512\pi\) | |||||||
\(822\) | 22.0876 | − | 27.2504i | 0.770394 | − | 0.950465i | ||||
\(823\) | 10.4729 | − | 2.48213i | 0.365063 | − | 0.0865215i | −0.0439906 | − | 0.999032i | \(-0.514007\pi\) |
0.409053 | + | 0.912510i | \(0.365859\pi\) | |||||||
\(824\) | −4.48909 | + | 14.9946i | −0.156385 | + | 0.522362i | ||||
\(825\) | 1.71058 | − | 4.96049i | 0.0595547 | − | 0.172702i | ||||
\(826\) | −0.213293 | + | 0.0249304i | −0.00742143 | + | 0.000867440i | ||||
\(827\) | −3.36069 | − | 19.0594i | −0.116863 | − | 0.662760i | −0.985811 | − | 0.167858i | \(-0.946315\pi\) |
0.868949 | − | 0.494902i | \(-0.164796\pi\) | |||||||
\(828\) | 4.05267 | + | 19.1527i | 0.140840 | + | 0.665604i | ||||
\(829\) | 1.22137 | − | 6.92673i | 0.0424199 | − | 0.240575i | −0.956224 | − | 0.292636i | \(-0.905468\pi\) |
0.998644 | + | 0.0520603i | \(0.0165788\pi\) | |||||||
\(830\) | −1.35180 | + | 23.2096i | −0.0469218 | + | 0.805617i | ||||
\(831\) | 13.9580 | + | 3.92158i | 0.484199 | + | 0.136038i | ||||
\(832\) | 0.488040 | + | 1.13140i | 0.0169197 | + | 0.0392244i | ||||
\(833\) | −29.4392 | − | 14.7849i | −1.02001 | − | 0.512267i | ||||
\(834\) | 1.29673 | − | 1.00007i | 0.0449021 | − | 0.0346297i | ||||
\(835\) | 12.0418 | + | 2.85396i | 0.416723 | + | 0.0987653i | ||||
\(836\) | −5.95042 | + | 10.3064i | −0.205799 | + | 0.356455i | ||||
\(837\) | 2.87988 | − | 43.9909i | 0.0995432 | − | 1.52055i | ||||
\(838\) | −5.00908 | − | 8.67598i | −0.173036 | − | 0.299707i | ||||
\(839\) | 8.00925 | + | 26.7528i | 0.276510 | + | 0.923608i | 0.977589 | + | 0.210524i | \(0.0675170\pi\) |
−0.701079 | + | 0.713084i | \(0.747298\pi\) | |||||||
\(840\) | 3.33908 | + | 0.137592i | 0.115209 | + | 0.00474738i | ||||
\(841\) | 13.8738 | − | 9.12497i | 0.478408 | − | 0.314654i | ||||
\(842\) | 8.31693 | − | 11.1716i | 0.286620 | − | 0.384998i | ||||
\(843\) | −20.6311 | − | 14.8211i | −0.710572 | − | 0.510465i | ||||
\(844\) | 6.49995 | + | 4.27509i | 0.223738 | + | 0.147155i | ||||
\(845\) | 21.4110 | − | 7.79295i | 0.736560 | − | 0.268086i | ||||
\(846\) | −8.42481 | + | 9.56080i | −0.289651 | + | 0.328707i | ||||
\(847\) | 2.61436 | + | 0.951551i | 0.0898306 | + | 0.0326957i | ||||
\(848\) | −0.454987 | − | 0.611153i | −0.0156243 | − | 0.0209871i | ||||
\(849\) | 32.3153 | + | 17.9320i | 1.10906 | + | 0.615426i | ||||
\(850\) | −3.96499 | − | 4.20265i | −0.135998 | − | 0.144150i | ||||
\(851\) | 17.8355 | + | 18.9046i | 0.611395 | + | 0.648041i | ||||
\(852\) | −22.5267 | − | 12.5003i | −0.771753 | − | 0.428253i | ||||
\(853\) | −3.11985 | − | 4.19068i | −0.106821 | − | 0.143486i | 0.745498 | − | 0.666508i | \(-0.232212\pi\) |
−0.852319 | + | 0.523022i | \(0.824804\pi\) | |||||||
\(854\) | −4.06853 | − | 1.48082i | −0.139222 | − | 0.0506727i | ||||
\(855\) | −7.92721 | − | 23.5361i | −0.271105 | − | 0.804917i | ||||
\(856\) | 5.61576 | − | 2.04397i | 0.191943 | − | 0.0698614i | ||||
\(857\) | 38.3948 | + | 25.2527i | 1.31154 | + | 0.862615i | 0.996262 | − | 0.0863839i | \(-0.0275312\pi\) |
0.315280 | + | 0.948999i | \(0.397902\pi\) | |||||||
\(858\) | 4.94477 | + | 3.55225i | 0.168812 | + | 0.121272i | ||||
\(859\) | −9.34021 | + | 12.5461i | −0.318684 | + | 0.428067i | −0.932382 | − | 0.361474i | \(-0.882274\pi\) |
0.613698 | + | 0.789541i | \(0.289681\pi\) | |||||||
\(860\) | −17.3657 | + | 11.4216i | −0.592164 | + | 0.389473i | ||||
\(861\) | −16.0041 | − | 0.659472i | −0.545417 | − | 0.0224748i | ||||
\(862\) | 1.65222 | + | 5.51880i | 0.0562749 | + | 0.187971i | ||||
\(863\) | 15.5383 | + | 26.9132i | 0.528931 | + | 0.916135i | 0.999431 | + | 0.0337353i | \(0.0107403\pi\) |
−0.470500 | + | 0.882400i | \(0.655926\pi\) | |||||||
\(864\) | 1.45442 | + | 4.98845i | 0.0494804 | + | 0.169711i | ||||
\(865\) | −11.9471 | + | 20.6931i | −0.406215 | + | 0.703585i | ||||
\(866\) | −16.3749 | − | 3.88093i | −0.556443 | − | 0.131879i | ||||
\(867\) | −17.2871 | + | 13.3323i | −0.587101 | + | 0.452788i | ||||
\(868\) | −7.37159 | − | 3.70215i | −0.250208 | − | 0.125659i | ||||
\(869\) | −2.52500 | − | 5.85361i | −0.0856548 | − | 0.198570i | ||||
\(870\) | −11.6498 | − | 3.27305i | −0.394964 | − | 0.110967i | ||||
\(871\) | 0.519807 | − | 8.92474i | 0.0176130 | − | 0.302403i | ||||
\(872\) | −0.516120 | + | 2.92706i | −0.0174780 | + | 0.0991228i | ||||
\(873\) | −23.7151 | + | 21.3138i | −0.802634 | + | 0.721362i | ||||
\(874\) | −4.72710 | − | 26.8087i | −0.159897 | − | 0.906819i | ||||
\(875\) | 11.6171 | − | 1.35785i | 0.392730 | − | 0.0459036i | ||||
\(876\) | −4.06800 | + | 11.7967i | −0.137445 | + | 0.398575i | ||||
\(877\) | −4.67857 | + | 15.6275i | −0.157984 | + | 0.527704i | −0.999930 | − | 0.0118586i | \(-0.996225\pi\) |
0.841945 | + | 0.539563i | \(0.181410\pi\) | |||||||
\(878\) | 16.9077 | − | 4.00721i | 0.570609 | − | 0.135237i | ||||
\(879\) | 16.9225 | − | 20.8779i | 0.570780 | − | 0.704194i | ||||
\(880\) | −2.24232 | + | 5.19829i | −0.0755888 | + | 0.175234i | ||||
\(881\) | −28.2362 | + | 23.6930i | −0.951301 | + | 0.798236i | −0.979516 | − | 0.201366i | \(-0.935462\pi\) |
0.0282153 | + | 0.999602i | \(0.491018\pi\) | |||||||
\(882\) | 12.9067 | + | 12.7808i | 0.434590 | + | 0.430352i | ||||
\(883\) | −16.2140 | − | 13.6051i | −0.545643 | − | 0.457849i | 0.327819 | − | 0.944741i | \(-0.393686\pi\) |
−0.873463 | + | 0.486891i | \(0.838131\pi\) | |||||||
\(884\) | 5.99112 | − | 3.00885i | 0.201503 | − | 0.101199i | ||||
\(885\) | 0.427885 | + | 0.627090i | 0.0143832 | + | 0.0210794i | ||||
\(886\) | 16.1763 | + | 1.89074i | 0.543453 | + | 0.0635205i | ||||
\(887\) | −0.580715 | − | 9.97049i | −0.0194985 | − | 0.334776i | −0.993924 | − | 0.110066i | \(-0.964894\pi\) |
0.974426 | − | 0.224710i | \(-0.0721434\pi\) | |||||||
\(888\) | 5.09745 | + | 4.64803i | 0.171059 | + | 0.155978i | ||||
\(889\) | −4.40899 | + | 4.67325i | −0.147873 | + | 0.156736i | ||||
\(890\) | −0.281017 | −0.00941970 | ||||||||
\(891\) | 18.8473 | + | 17.4356i | 0.631409 | + | 0.584115i | ||||
\(892\) | −22.9375 | −0.768005 | ||||||||
\(893\) | 12.1600 | − | 12.8889i | 0.406920 | − | 0.431310i | ||||
\(894\) | −5.14543 | + | 23.4817i | −0.172089 | + | 0.785344i | ||||
\(895\) | −1.21273 | − | 20.8219i | −0.0405373 | − | 0.695998i | ||||
\(896\) | 0.965709 | + | 0.112875i | 0.0322621 | + | 0.00377089i | ||||
\(897\) | −13.8876 | + | 1.04593i | −0.463692 | + | 0.0349225i | ||||
\(898\) | −24.2816 | + | 12.1947i | −0.810287 | + | 0.406942i | ||||
\(899\) | 22.8810 | + | 19.1994i | 0.763123 | + | 0.640337i | ||||
\(900\) | 1.36048 | + | 2.88063i | 0.0453494 | + | 0.0960209i | ||||
\(901\) | −3.17570 | + | 2.66473i | −0.105798 | + | 0.0887749i | ||||
\(902\) | 10.7474 | − | 24.9152i | 0.357848 | − | 0.829584i | ||||
\(903\) | 17.4201 | + | 2.76727i | 0.579704 | + | 0.0920888i | ||||
\(904\) | 15.8286 | − | 3.75144i | 0.526450 | − | 0.124771i | ||||
\(905\) | 12.1076 | − | 40.4423i | 0.402471 | − | 1.34435i | ||||
\(906\) | 25.5084 | + | 29.3713i | 0.847460 | + | 0.975796i | ||||
\(907\) | −53.3894 | + | 6.24032i | −1.77277 | + | 0.207207i | −0.938765 | − | 0.344557i | \(-0.888029\pi\) |
−0.834000 | + | 0.551764i | \(0.813955\pi\) | |||||||
\(908\) | −1.40084 | − | 7.94457i | −0.0464886 | − | 0.263650i | ||||
\(909\) | 8.08125 | + | 12.9592i | 0.268038 | + | 0.429828i | ||||
\(910\) | −0.412837 | + | 2.34131i | −0.0136854 | + | 0.0776138i | ||||
\(911\) | −2.10342 | + | 36.1143i | −0.0696894 | + | 1.19652i | 0.764345 | + | 0.644808i | \(0.223062\pi\) |
−0.834034 | + | 0.551713i | \(0.813975\pi\) | |||||||
\(912\) | −1.78554 | − | 7.00135i | −0.0591251 | − | 0.231838i | ||||
\(913\) | 13.2378 | + | 30.6887i | 0.438107 | + | 1.01565i | ||||
\(914\) | −30.2045 | − | 15.1693i | −0.999077 | − | 0.501755i | ||||
\(915\) | 2.03501 | + | 15.1701i | 0.0672753 | + | 0.501509i | ||||
\(916\) | 25.1807 | + | 5.96793i | 0.831993 | + | 0.197186i | ||||
\(917\) | 10.4595 | − | 18.1164i | 0.345402 | − | 0.598255i | ||||
\(918\) | 26.6360 | − | 9.47825i | 0.879118 | − | 0.312829i | ||||
\(919\) | 23.3694 | + | 40.4770i | 0.770885 | + | 1.33521i | 0.937078 | + | 0.349119i | \(0.113519\pi\) |
−0.166193 | + | 0.986093i | \(0.553147\pi\) | |||||||
\(920\) | −3.71405 | − | 12.4058i | −0.122449 | − | 0.409007i | ||||
\(921\) | −0.676349 | − | 1.29152i | −0.0222865 | − | 0.0425570i | ||||
\(922\) | −6.33927 | + | 4.16941i | −0.208773 | + | 0.137312i | ||||
\(923\) | 10.9444 | − | 14.7009i | 0.360239 | − | 0.483885i | ||||
\(924\) | 4.37837 | − | 1.97756i | 0.144038 | − | 0.0650569i | ||||
\(925\) | 3.53360 | + | 2.32409i | 0.116184 | + | 0.0764155i | ||||
\(926\) | 4.06532 | − | 1.47966i | 0.133595 | − | 0.0486245i | ||||
\(927\) | −40.0858 | − | 24.4549i | −1.31659 | − | 0.803206i | ||||
\(928\) | −3.30824 | − | 1.20410i | −0.108598 | − | 0.0395266i | ||||
\(929\) | −20.6204 | − | 27.6980i | −0.676533 | − | 0.908742i | 0.322754 | − | 0.946483i | \(-0.395391\pi\) |
−0.999288 | + | 0.0377409i | \(0.987984\pi\) | |||||||
\(930\) | 0.495561 | + | 29.1575i | 0.0162501 | + | 0.956111i | ||||
\(931\) | −17.3329 | − | 18.3718i | −0.568063 | − | 0.602112i | ||||
\(932\) | −4.49899 | − | 4.76865i | −0.147369 | − | 0.156202i | ||||
\(933\) | −11.1319 | + | 6.68177i | −0.364442 | + | 0.218751i | ||||
\(934\) | −1.95249 | − | 2.62265i | −0.0638874 | − | 0.0858157i | ||||
\(935\) | 28.9453 | + | 10.5352i | 0.946612 | + | 0.344539i | ||||
\(936\) | −3.65483 | + | 0.553660i | −0.119462 | + | 0.0180969i | ||||
\(937\) | 26.8793 | − | 9.78326i | 0.878108 | − | 0.319605i | 0.136662 | − | 0.990618i | \(-0.456362\pi\) |
0.741446 | + | 0.671012i | \(0.234140\pi\) | |||||||
\(938\) | −5.89374 | − | 3.87637i | −0.192437 | − | 0.126568i | ||||
\(939\) | 4.87194 | − | 48.8713i | 0.158990 | − | 1.59485i | ||||
\(940\) | 5.03368 | − | 6.76141i | 0.164181 | − | 0.220533i | ||||
\(941\) | 14.5462 | − | 9.56722i | 0.474194 | − | 0.311882i | −0.289821 | − | 0.957081i | \(-0.593596\pi\) |
0.764015 | + | 0.645199i | \(0.223225\pi\) | |||||||
\(942\) | −12.9898 | + | 20.5006i | −0.423231 | + | 0.667945i | ||||
\(943\) | 17.8012 | + | 59.4603i | 0.579688 | + | 1.93629i | ||||
\(944\) | 0.110434 | + | 0.191277i | 0.00359431 | + | 0.00622552i | ||||
\(945\) | −2.94444 | + | 9.58363i | −0.0957828 | + | 0.311756i | ||||
\(946\) | −14.9400 | + | 25.8769i | −0.485743 | + | 0.841331i | ||||
\(947\) | −37.8464 | − | 8.96977i | −1.22984 | − | 0.291478i | −0.436194 | − | 0.899853i | \(-0.643674\pi\) |
−0.793650 | + | 0.608374i | \(0.791822\pi\) | |||||||
\(948\) | 3.57949 | + | 1.47241i | 0.116256 | + | 0.0478216i | ||||
\(949\) | −7.93290 | − | 3.98405i | −0.257513 | − | 0.129328i | ||||
\(950\) | −1.75459 | − | 4.06760i | −0.0569264 | − | 0.131970i | ||||
\(951\) | −0.365362 | + | 0.356629i | −0.0118477 | + | 0.0115645i | ||||
\(952\) | 0.307596 | − | 5.28121i | 0.00996923 | − | 0.171165i | ||||
\(953\) | −7.50651 | + | 42.5715i | −0.243160 | + | 1.37903i | 0.581568 | + | 0.813498i | \(0.302439\pi\) |
−0.824728 | + | 0.565530i | \(0.808672\pi\) | |||||||
\(954\) | 2.12010 | − | 0.854315i | 0.0686409 | − | 0.0276595i | ||||
\(955\) | 1.85296 | + | 10.5086i | 0.0599602 | + | 0.340051i | ||||
\(956\) | 7.47188 | − | 0.873337i | 0.241658 | − | 0.0282457i | ||||
\(957\) | −17.0777 | + | 3.31145i | −0.552045 | + | 0.107044i | ||||
\(958\) | 2.03004 | − | 6.78081i | 0.0655876 | − | 0.219078i | ||||
\(959\) | 19.1600 | − | 4.54101i | 0.618709 | − | 0.146637i | ||||
\(960\) | −1.23031 | − | 3.20946i | −0.0397079 | − | 0.103585i | ||||
\(961\) | 16.2318 | − | 37.6295i | 0.523606 | − | 1.21386i | ||||
\(962\) | −3.75937 | + | 3.15449i | −0.121207 | + | 0.101705i | ||||
\(963\) | 1.65007 | + | 17.8524i | 0.0531727 | + | 0.575286i | ||||
\(964\) | −21.5090 | − | 18.0482i | −0.692759 | − | 0.581293i | ||||
\(965\) | −3.15619 | + | 1.58510i | −0.101601 | + | 0.0510262i | ||||
\(966\) | −4.76444 | + | 9.90288i | −0.153293 | + | 0.318620i | ||||
\(967\) | 34.2917 | + | 4.00813i | 1.10275 | + | 0.128893i | 0.647936 | − | 0.761695i | \(-0.275632\pi\) |
0.454812 | + | 0.890587i | \(0.349706\pi\) | |||||||
\(968\) | −0.166379 | − | 2.85662i | −0.00534763 | − | 0.0918152i | ||||
\(969\) | −37.4648 | + | 11.9136i | −1.20354 | + | 0.382720i | ||||
\(970\) | 14.4741 | − | 15.3416i | 0.464735 | − | 0.492590i | ||||
\(971\) | −0.491945 | −0.0157873 | −0.00789363 | − | 0.999969i | \(-0.502513\pi\) | ||||
−0.00789363 | + | 0.999969i | \(0.502513\pi\) | |||||||
\(972\) | −15.5829 | + | 0.417633i | −0.499821 | + | 0.0133956i | ||||
\(973\) | 0.919250 | 0.0294698 | ||||||||
\(974\) | 3.15401 | − | 3.34306i | 0.101061 | − | 0.107118i | ||||
\(975\) | −2.15976 | + | 0.686791i | −0.0691676 | + | 0.0219949i | ||||
\(976\) | 0.258923 | + | 4.44553i | 0.00828791 | + | 0.142298i | ||||
\(977\) | 14.9284 | + | 1.74488i | 0.477602 | + | 0.0558237i | 0.351489 | − | 0.936192i | \(-0.385676\pi\) |
0.126113 | + | 0.992016i | \(0.459750\pi\) | |||||||
\(978\) | 10.1614 | − | 21.1205i | 0.324927 | − | 0.675361i | ||||
\(979\) | −0.361012 | + | 0.181307i | −0.0115380 | + | 0.00579460i | ||||
\(980\) | −9.20422 | − | 7.72325i | −0.294018 | − | 0.246710i | ||||
\(981\) | −8.09959 | − | 3.72870i | −0.258600 | − | 0.119048i | ||||
\(982\) | −6.64510 | + | 5.57590i | −0.212054 | + | 0.177934i | ||||
\(983\) | −2.73909 | + | 6.34992i | −0.0873633 | + | 0.202531i | −0.956297 | − | 0.292398i | \(-0.905547\pi\) |
0.868933 | + | 0.494929i | \(0.164806\pi\) | |||||||
\(984\) | 5.89679 | + | 15.3828i | 0.187983 | + | 0.490385i | ||||
\(985\) | −27.2368 | + | 6.45525i | −0.867838 | + | 0.205681i | ||||
\(986\) | −5.49379 | + | 18.3505i | −0.174958 | + | 0.584400i | ||||
\(987\) | −7.02250 | + | 1.36169i | −0.223529 | + | 0.0433431i | ||||
\(988\) | 5.10541 | − | 0.596736i | 0.162425 | − | 0.0189847i | ||||
\(989\) | −11.8686 | − | 67.3102i | −0.377400 | − | 2.14034i | ||||
\(990\) | −13.3739 | − | 10.4686i | −0.425050 | − | 0.332714i | ||||
\(991\) | −0.354631 | + | 2.01121i | −0.0112652 | + | 0.0638882i | −0.989922 | − | 0.141613i | \(-0.954771\pi\) |
0.978657 | + | 0.205501i | \(0.0658824\pi\) | |||||||
\(992\) | −0.493311 | + | 8.46981i | −0.0156626 | + | 0.268917i | ||||
\(993\) | −32.2614 | + | 31.4904i | −1.02379 | + | 0.999316i | ||||
\(994\) | −5.72801 | − | 13.2790i | −0.181682 | − | 0.421185i | ||||
\(995\) | −49.8462 | − | 25.0337i | −1.58023 | − | 0.793622i | ||||
\(996\) | −18.7662 | − | 7.71939i | −0.594628 | − | 0.244598i | ||||
\(997\) | −18.0171 | − | 4.27014i | −0.570608 | − | 0.135237i | −0.0648240 | − | 0.997897i | \(-0.520649\pi\) |
−0.505784 | + | 0.862660i | \(0.668797\pi\) | |||||||
\(998\) | 11.9045 | − | 20.6193i | 0.376831 | − | 0.652691i | ||||
\(999\) | −17.3720 | + | 11.2475i | −0.549625 | + | 0.355856i |
(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 | 162.2.g.a.151.4 | yes | 72 | |
3.2 | odd | 2 | 486.2.g.a.127.3 | 72 | |||
81.22 | even | 27 | inner | 162.2.g.a.103.4 | ✓ | 72 | |
81.59 | odd | 54 | 486.2.g.a.199.3 | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
162.2.g.a.103.4 | ✓ | 72 | 81.22 | even | 27 | inner | |
162.2.g.a.151.4 | yes | 72 | 1.1 | even | 1 | trivial | |
486.2.g.a.127.3 | 72 | 3.2 | odd | 2 | |||
486.2.g.a.199.3 | 72 | 81.59 | odd | 54 |