Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,2,Mod(17,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([0, 10, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.x (of order \(20\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.39551206064\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 17.3 | ||
Character | \(\chi\) | \(=\) | 300.17 |
Dual form | 300.2.x.a.53.3 |
$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{13}{20}\right)\) |
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 | 0 | ||||||||
\(3\) | −1.13130 | + | 1.31155i | −0.653156 | + | 0.757223i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 2.14441 | − | 0.633635i | 0.959011 | − | 0.283370i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.907947 | + | 0.907947i | 0.343172 | + | 0.343172i | 0.857558 | − | 0.514387i | \(-0.171980\pi\) |
−0.514387 | + | 0.857558i | \(0.671980\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −0.440321 | − | 2.96751i | −0.146774 | − | 0.989170i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 1.03855 | − | 0.337444i | 0.313133 | − | 0.101743i | −0.148234 | − | 0.988952i | \(-0.547359\pi\) |
0.461367 | + | 0.887209i | \(0.347359\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 2.26685 | + | 4.44893i | 0.628710 | + | 1.23391i | 0.957206 | + | 0.289407i | \(0.0934581\pi\) |
−0.328496 | + | 0.944505i | \(0.606542\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −1.59493 | + | 3.52933i | −0.411809 | + | 0.911270i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 2.19690 | − | 0.347955i | 0.532827 | − | 0.0843916i | 0.115777 | − | 0.993275i | \(-0.463064\pi\) |
0.417050 | + | 0.908884i | \(0.363064\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −2.39954 | + | 3.30268i | −0.550491 | + | 0.757686i | −0.990079 | − | 0.140513i | \(-0.955125\pi\) |
0.439587 | + | 0.898200i | \(0.355125\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −2.21798 | + | 0.163656i | −0.484002 | + | 0.0357128i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −2.13422 | + | 4.18865i | −0.445016 | + | 0.873394i | 0.554144 | + | 0.832421i | \(0.313046\pi\) |
−0.999160 | + | 0.0409730i | \(0.986954\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 4.19701 | − | 2.71755i | 0.839403 | − | 0.543510i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 4.39017 | + | 2.77964i | 0.844889 | + | 0.534942i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 0.981024 | − | 0.712755i | 0.182172 | − | 0.132355i | −0.492962 | − | 0.870051i | \(-0.664086\pi\) |
0.675134 | + | 0.737695i | \(0.264086\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.992266 | + | 0.720923i | 0.178216 | + | 0.129482i | 0.673317 | − | 0.739354i | \(-0.264869\pi\) |
−0.495101 | + | 0.868836i | \(0.664869\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −0.732332 | + | 1.74385i | −0.127483 | + | 0.303566i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 2.52232 | + | 1.37171i | 0.426350 | + | 0.231861i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 6.47404 | − | 3.29869i | 1.06432 | − | 0.542301i | 0.168040 | − | 0.985780i | \(-0.446256\pi\) |
0.896284 | + | 0.443480i | \(0.146256\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −8.39948 | − | 2.06000i | −1.34499 | − | 0.329864i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −8.57625 | − | 2.78659i | −1.33938 | − | 0.435193i | −0.450277 | − | 0.892889i | \(-0.648675\pi\) |
−0.889108 | + | 0.457697i | \(0.848675\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 1.48285 | − | 1.48285i | 0.226133 | − | 0.226133i | −0.584942 | − | 0.811075i | \(-0.698883\pi\) |
0.811075 | + | 0.584942i | \(0.198883\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −2.82455 | − | 6.08456i | −0.421059 | − | 0.907033i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 0.0645410 | − | 0.407496i | 0.00941428 | − | 0.0594394i | −0.982534 | − | 0.186083i | \(-0.940421\pi\) |
0.991948 | + | 0.126644i | \(0.0404206\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | − | 5.35127i | − | 0.764466i | ||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −2.02900 | + | 3.27499i | −0.284116 | + | 0.458590i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −13.7949 | − | 2.18491i | −1.89488 | − | 0.300120i | −0.903240 | − | 0.429136i | \(-0.858818\pi\) |
−0.991642 | + | 0.129017i | \(0.958818\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 2.01325 | − | 1.38168i | 0.271467 | − | 0.186305i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −1.61703 | − | 6.88343i | −0.214181 | − | 0.911732i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 3.76991 | − | 11.6026i | 0.490801 | − | 1.51053i | −0.332599 | − | 0.943068i | \(-0.607925\pi\) |
0.823400 | − | 0.567462i | \(-0.192075\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 0.344205 | + | 1.05936i | 0.0440710 | + | 0.135637i | 0.970671 | − | 0.240412i | \(-0.0772826\pi\) |
−0.926600 | + | 0.376049i | \(0.877283\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 2.29455 | − | 3.09413i | 0.289087 | − | 0.389824i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 7.68005 | + | 8.10400i | 0.952593 | + | 1.00518i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −1.22742 | − | 7.74963i | −0.149953 | − | 0.946768i | −0.941831 | − | 0.336088i | \(-0.890896\pi\) |
0.791877 | − | 0.610680i | \(-0.209104\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −3.07917 | − | 7.53776i | −0.370689 | − | 0.907439i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −6.04759 | − | 8.32380i | −0.717717 | − | 0.987853i | −0.999597 | − | 0.0284034i | \(-0.990958\pi\) |
0.281879 | − | 0.959450i | \(-0.409042\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 5.93345 | + | 3.02324i | 0.694458 | + | 0.353844i | 0.765327 | − | 0.643642i | \(-0.222577\pi\) |
−0.0708692 | + | 0.997486i | \(0.522577\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −1.18388 | + | 8.57895i | −0.136703 | + | 0.990612i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 1.24932 | + | 0.636563i | 0.142374 | + | 0.0725431i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −5.56738 | − | 7.66285i | −0.626380 | − | 0.862138i | 0.371418 | − | 0.928466i | \(-0.378872\pi\) |
−0.997798 | + | 0.0663280i | \(0.978872\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −8.61223 | + | 2.61331i | −0.956915 | + | 0.290368i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 2.79265 | + | 17.6321i | 0.306534 | + | 1.93538i | 0.351024 | + | 0.936367i | \(0.385834\pi\) |
−0.0444903 | + | 0.999010i | \(0.514166\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 4.49059 | − | 2.13819i | 0.487073 | − | 0.231920i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −0.175018 | + | 2.09300i | −0.0187639 | + | 0.224393i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 4.10757 | + | 12.6418i | 0.435401 | + | 1.34003i | 0.892675 | + | 0.450701i | \(0.148826\pi\) |
−0.457274 | + | 0.889326i | \(0.651174\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −1.98122 | + | 6.09757i | −0.207688 | + | 0.639199i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −2.06808 | + | 0.485825i | −0.214450 | + | 0.0503777i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −3.05291 | + | 8.60274i | −0.313221 | + | 0.882622i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −15.3339 | − | 2.42865i | −1.55692 | − | 0.246592i | −0.682180 | − | 0.731184i | \(-0.738968\pi\) |
−0.874740 | + | 0.484592i | \(0.838968\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −1.45866 | − | 2.93331i | −0.146601 | − | 0.294809i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | − | 10.8863i | − | 1.08323i | −0.840628 | − | 0.541613i | \(-0.817814\pi\) | ||
0.840628 | − | 0.541613i | \(-0.182186\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 1.29267 | − | 8.16157i | 0.127370 | − | 0.804184i | −0.838452 | − | 0.544976i | \(-0.816539\pi\) |
0.965822 | − | 0.259207i | \(-0.0834613\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −4.65256 | + | 1.75633i | −0.454043 | + | 0.171401i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 6.56922 | − | 6.56922i | 0.635071 | − | 0.635071i | −0.314265 | − | 0.949335i | \(-0.601758\pi\) |
0.949335 | + | 0.314265i | \(0.101758\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 18.5165 | + | 6.01639i | 1.77356 | + | 0.576265i | 0.998455 | − | 0.0555636i | \(-0.0176956\pi\) |
0.775108 | + | 0.631829i | \(0.217696\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −2.99769 | + | 12.2228i | −0.284528 | + | 1.16014i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −5.59661 | + | 2.85162i | −0.526485 | + | 0.268258i | −0.696967 | − | 0.717103i | \(-0.745468\pi\) |
0.170482 | + | 0.985361i | \(0.445468\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −1.92258 | + | 10.3345i | −0.179282 | + | 0.963698i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 12.2041 | − | 8.68585i | 1.12827 | − | 0.803007i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 2.31060 | + | 1.67875i | 0.211812 | + | 0.153890i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −7.93448 | + | 5.76474i | −0.721316 | + | 0.524067i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 13.3571 | − | 8.09570i | 1.20437 | − | 0.729964i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 7.27820 | − | 8.48692i | 0.650982 | − | 0.759093i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −1.64120 | + | 3.22104i | −0.145633 | + | 0.285821i | −0.952287 | − | 0.305203i | \(-0.901276\pi\) |
0.806655 | + | 0.591023i | \(0.201276\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 0.267283 | + | 3.62239i | 0.0235329 | + | 0.318933i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 6.57127 | − | 9.04457i | 0.574134 | − | 0.790228i | −0.418903 | − | 0.908031i | \(-0.637585\pi\) |
0.993037 | + | 0.117803i | \(0.0375852\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −5.17731 | + | 0.820005i | −0.448930 | + | 0.0711034i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 11.1756 | + | 3.17894i | 0.961844 | + | 0.273599i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −5.59033 | − | 10.9716i | −0.477615 | − | 0.937371i | −0.996585 | − | 0.0825788i | \(-0.973684\pi\) |
0.518970 | − | 0.854792i | \(-0.326316\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −15.7315 | + | 5.11149i | −1.33433 | + | 0.433551i | −0.887393 | − | 0.461014i | \(-0.847486\pi\) |
−0.446939 | + | 0.894565i | \(0.647486\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0.461436 | + | 0.545649i | 0.0388599 | + | 0.0459519i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 3.85549 | + | 3.85549i | 0.322412 | + | 0.322412i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 1.65209 | − | 2.15005i | 0.137199 | − | 0.178552i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 7.01845 | + | 6.05389i | 0.578872 | + | 0.499316i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 7.21459 | 0.591042 | 0.295521 | − | 0.955336i | \(-0.404507\pi\) | ||||
0.295521 | + | 0.955336i | \(0.404507\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −8.59485 | −0.699439 | −0.349719 | − | 0.936854i | \(-0.613723\pi\) | ||||
−0.349719 | + | 0.936854i | \(0.613723\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −1.99990 | − | 6.36612i | −0.161683 | − | 0.514670i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 2.58463 | + | 0.917223i | 0.207603 | + | 0.0736732i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 9.22284 | + | 9.22284i | 0.736063 | + | 0.736063i | 0.971814 | − | 0.235751i | \(-0.0757550\pi\) |
−0.235751 | + | 0.971814i | \(0.575755\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 18.4718 | − | 15.6210i | 1.46491 | − | 1.23882i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −5.74083 | + | 1.86531i | −0.452441 | + | 0.147007i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 0.429156 | + | 0.842267i | 0.0336141 | + | 0.0659714i | 0.907203 | − | 0.420694i | \(-0.138213\pi\) |
−0.873589 | + | 0.486665i | \(0.838213\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −0.465457 | + | 4.20357i | −0.0362357 | + | 0.327248i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −23.0479 | + | 3.65042i | −1.78350 | + | 0.282478i | −0.959004 | − | 0.283393i | \(-0.908540\pi\) |
−0.824494 | + | 0.565871i | \(0.808540\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −7.01322 | + | 9.65287i | −0.539479 | + | 0.742529i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 10.8573 | + | 5.66641i | 0.830278 | + | 0.433321i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 1.70415 | − | 3.34458i | 0.129564 | − | 0.254284i | −0.817107 | − | 0.576487i | \(-0.804423\pi\) |
0.946671 | + | 0.322203i | \(0.104423\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 6.27806 | + | 1.34328i | 0.474576 | + | 0.101542i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 10.9525 | + | 18.0704i | 0.823239 | + | 1.35826i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −8.16937 | + | 5.93539i | −0.610607 | + | 0.443632i | −0.849628 | − | 0.527382i | \(-0.823174\pi\) |
0.239021 | + | 0.971014i | \(0.423174\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 9.96400 | + | 7.23927i | 0.740618 | + | 0.538091i | 0.892905 | − | 0.450246i | \(-0.148664\pi\) |
−0.152286 | + | 0.988336i | \(0.548664\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −1.77880 | − | 0.747007i | −0.131492 | − | 0.0552203i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 11.7928 | − | 11.1759i | 0.867027 | − | 0.821670i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 2.16417 | − | 1.10270i | 0.158260 | − | 0.0806373i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 1.46227 | + | 6.50981i | 0.106365 | + | 0.473519i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 12.2290 | + | 3.97343i | 0.884858 | + | 0.287508i | 0.715973 | − | 0.698128i | \(-0.245983\pi\) |
0.168885 | + | 0.985636i | \(0.445983\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −9.96950 | + | 9.96950i | −0.717620 | + | 0.717620i | −0.968117 | − | 0.250497i | \(-0.919406\pi\) |
0.250497 | + | 0.968117i | \(0.419406\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −19.3172 | + | 0.904708i | −1.38334 | + | 0.0647875i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −1.20326 | + | 7.59705i | −0.0857284 | + | 0.541268i | 0.907023 | + | 0.421081i | \(0.138349\pi\) |
−0.992751 | + | 0.120186i | \(0.961651\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | − | 16.0864i | − | 1.14033i | −0.821530 | − | 0.570166i | \(-0.806879\pi\) | ||
0.821530 | − | 0.570166i | \(-0.193121\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 11.5526 | + | 7.15733i | 0.814858 | + | 0.504839i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 1.53786 | + | 0.243573i | 0.107937 | + | 0.0170955i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −20.1567 | − | 0.541395i | −1.40780 | − | 0.0378127i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 13.3696 | + | 4.48898i | 0.929252 | + | 0.312006i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −1.37756 | + | 4.23969i | −0.0952877 | + | 0.293265i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −6.96750 | − | 21.4437i | −0.479662 | − | 1.47625i | −0.839565 | − | 0.543259i | \(-0.817190\pi\) |
0.359903 | − | 0.932990i | \(-0.382810\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 17.7587 | + | 1.48500i | 1.21681 | + | 0.101750i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 2.24026 | − | 4.11944i | 0.152785 | − | 0.280943i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0.246365 | + | 1.55548i | 0.0167243 | + | 0.105593i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −10.6776 | + | 4.36181i | −0.721528 | + | 0.294744i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 6.52807 | + | 8.98512i | 0.439126 | + | 0.604404i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −10.1560 | − | 5.17474i | −0.680097 | − | 0.346526i | 0.0795792 | − | 0.996829i | \(-0.474642\pi\) |
−0.759676 | + | 0.650302i | \(0.774642\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −9.91239 | − | 11.2581i | −0.660826 | − | 0.750539i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −12.6380 | − | 6.43937i | −0.838812 | − | 0.427396i | −0.0188557 | − | 0.999822i | \(-0.506002\pi\) |
−0.819956 | + | 0.572426i | \(0.806002\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 2.06221 | + | 2.83839i | 0.136275 | + | 0.187566i | 0.871700 | − | 0.490039i | \(-0.163018\pi\) |
−0.735425 | + | 0.677606i | \(0.763018\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −2.24824 | + | 0.918407i | −0.147924 | + | 0.0604267i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 0.450064 | + | 2.84159i | 0.0294847 | + | 0.186159i | 0.998035 | − | 0.0626588i | \(-0.0199580\pi\) |
−0.968550 | + | 0.248818i | \(0.919958\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −0.119801 | − | 0.914735i | −0.00781496 | − | 0.0596708i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 16.3486 | + | 1.36708i | 1.06195 | + | 0.0888015i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 4.44446 | + | 13.6787i | 0.287488 | + | 0.884798i | 0.985642 | + | 0.168850i | \(0.0540054\pi\) |
−0.698153 | + | 0.715948i | \(0.745995\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 0.877493 | − | 2.70064i | 0.0565243 | − | 0.173964i | −0.918808 | − | 0.394704i | \(-0.870847\pi\) |
0.975333 | + | 0.220740i | \(0.0708472\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 6.31553 | − | 14.2518i | 0.405142 | − | 0.914254i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −3.39075 | − | 11.4753i | −0.216627 | − | 0.733131i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −20.1328 | − | 3.18872i | −1.28102 | − | 0.202893i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −26.2847 | − | 16.2845i | −1.66573 | − | 1.03199i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | − | 12.8469i | − | 0.810891i | −0.914119 | − | 0.405445i | \(-0.867116\pi\) | ||
0.914119 | − | 0.405445i | \(-0.132884\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −0.803054 | + | 5.07028i | −0.0504876 | + | 0.318766i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −2.27586 | + | 8.30857i | −0.142520 | + | 0.520303i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −9.47863 | + | 9.47863i | −0.591261 | + | 0.591261i | −0.937972 | − | 0.346711i | \(-0.887298\pi\) |
0.346711 | + | 0.937972i | \(0.387298\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 8.87311 | + | 2.88305i | 0.551348 | + | 0.179144i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −2.54707 | − | 2.59736i | −0.157660 | − | 0.160772i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −2.07596 | + | 1.05775i | −0.128009 | + | 0.0652239i | −0.516822 | − | 0.856093i | \(-0.672885\pi\) |
0.388813 | + | 0.921317i | \(0.372885\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −30.9665 | + | 4.05562i | −1.90226 | + | 0.249135i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −21.2272 | − | 8.91438i | −1.29908 | − | 0.545551i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 22.3119 | + | 16.2105i | 1.36038 | + | 0.988373i | 0.998421 | + | 0.0561787i | \(0.0178917\pi\) |
0.361958 | + | 0.932194i | \(0.382108\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 25.5707 | − | 18.5782i | 1.55331 | − | 1.12854i | 0.612069 | − | 0.790805i | \(-0.290338\pi\) |
0.941239 | − | 0.337740i | \(-0.109662\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −5.75591 | − | 9.49665i | −0.348363 | − | 0.574763i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 3.44177 | − | 4.23855i | 0.207546 | − | 0.255594i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 3.14609 | − | 6.17455i | 0.189030 | − | 0.370993i | −0.776969 | − | 0.629539i | \(-0.783244\pi\) |
0.965999 | + | 0.258547i | \(0.0832436\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 1.70243 | − | 3.26200i | 0.101922 | − | 0.195291i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −3.62737 | + | 4.99264i | −0.216391 | + | 0.297836i | −0.903388 | − | 0.428823i | \(-0.858928\pi\) |
0.686998 | + | 0.726660i | \(0.258928\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 3.40261 | − | 0.538921i | 0.202264 | − | 0.0320355i | −0.0544801 | − | 0.998515i | \(-0.517350\pi\) |
0.256744 | + | 0.966479i | \(0.417350\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −7.82916 | − | 13.7363i | −0.463759 | − | 0.813669i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −5.25670 | − | 10.3169i | −0.310293 | − | 0.608985i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −11.4626 | + | 3.72444i | −0.674274 | + | 0.219085i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 20.5325 | − | 17.3636i | 1.20364 | − | 1.01787i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −14.3870 | − | 14.3870i | −0.840500 | − | 0.840500i | 0.148424 | − | 0.988924i | \(-0.452580\pi\) |
−0.988924 | + | 0.148424i | \(0.952580\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0.732441 | − | 27.2695i | 0.0426444 | − | 1.58769i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 5.49736 | + | 1.40535i | 0.318989 | + | 0.0815466i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −23.4730 | −1.35748 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 2.69270 | 0.155205 | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 14.2779 | + | 12.3157i | 0.820244 | + | 0.707516i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 1.40936 | + | 2.05360i | 0.0806999 | + | 0.117589i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 21.8121 | + | 21.8121i | 1.24488 | + | 1.24488i | 0.957950 | + | 0.286934i | \(0.0926362\pi\) |
0.286934 | + | 0.957950i | \(0.407364\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 9.24191 | + | 10.9286i | 0.525754 | + | 0.621705i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 23.6419 | − | 7.68170i | 1.34061 | − | 0.435589i | 0.451084 | − | 0.892481i | \(-0.351037\pi\) |
0.889522 | + | 0.456892i | \(0.151037\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −5.16865 | − | 10.1440i | −0.292149 | − | 0.573375i | 0.697550 | − | 0.716536i | \(-0.254273\pi\) |
−0.989699 | + | 0.143161i | \(0.954273\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 2.95992 | − | 8.08900i | 0.166773 | − | 0.455764i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −15.6631 | + | 2.48079i | −0.879728 | + | 0.139335i | −0.579929 | − | 0.814667i | \(-0.696920\pi\) |
−0.299799 | + | 0.954002i | \(0.596920\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 0.778322 | − | 1.07127i | 0.0435777 | − | 0.0599795i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 1.18410 | + | 16.0476i | 0.0660898 | + | 0.895691i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −4.12236 | + | 8.09060i | −0.229375 | + | 0.450173i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 21.6042 | + | 12.5120i | 1.19838 | + | 0.694040i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −28.8385 | + | 17.4790i | −1.59478 | + | 0.966591i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 0.428585 | − | 0.311385i | 0.0236286 | − | 0.0171672i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −10.2103 | − | 7.41821i | −0.561209 | − | 0.407742i | 0.270693 | − | 0.962666i | \(-0.412747\pi\) |
−0.831901 | + | 0.554924i | \(0.812747\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −12.6395 | − | 17.7593i | −0.692642 | − | 0.973203i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −7.54253 | − | 15.8407i | −0.412093 | − | 0.865468i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 4.25752 | − | 2.16931i | 0.231922 | − | 0.118170i | −0.334168 | − | 0.942513i | \(-0.608455\pi\) |
0.566090 | + | 0.824343i | \(0.308455\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 2.59141 | − | 10.5663i | 0.140746 | − | 0.573881i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 1.27378 | + | 0.413878i | 0.0689793 | + | 0.0224127i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 11.2143 | − | 11.2143i | 0.605515 | − | 0.605515i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −11.3792 | − | 14.2130i | −0.612636 | − | 0.765202i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −2.24653 | + | 14.1841i | −0.120600 | + | 0.761440i | 0.851062 | + | 0.525066i | \(0.175959\pi\) |
−0.971662 | + | 0.236374i | \(0.924041\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | − | 20.9612i | − | 1.12203i | −0.827807 | − | 0.561013i | \(-0.810412\pi\) | ||
0.827807 | − | 0.561013i | \(-0.189588\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −2.41461 | + | 25.8326i | −0.128882 | + | 1.37884i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 4.85452 | + | 0.768881i | 0.258380 | + | 0.0409234i | 0.284281 | − | 0.958741i | \(-0.408245\pi\) |
−0.0259004 | + | 0.999665i | \(0.508245\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −18.2428 | − | 14.0177i | −0.968227 | − | 0.743982i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −4.81574 | + | 1.13129i | −0.254876 | + | 0.0598744i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −2.41734 | + | 7.43981i | −0.127582 | + | 0.392658i | −0.994363 | − | 0.106032i | \(-0.966185\pi\) |
0.866780 | + | 0.498690i | \(0.166185\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 0.721413 | + | 2.22028i | 0.0379691 | + | 0.116857i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 1.41554 | − | 16.9281i | 0.0742967 | − | 0.888495i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 14.6394 | + | 2.72344i | 0.766261 | + | 0.142552i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 2.47261 | + | 15.6115i | 0.129069 | + | 0.814912i | 0.964261 | + | 0.264953i | \(0.0853565\pi\) |
−0.835192 | + | 0.549959i | \(0.814643\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −4.49294 | + | 26.6771i | −0.233893 | + | 1.38875i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −10.5413 | − | 14.5089i | −0.547277 | − | 0.753262i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −14.5011 | − | 7.38868i | −0.750838 | − | 0.382571i | 0.0363057 | − | 0.999341i | \(-0.488441\pi\) |
−0.787144 | + | 0.616770i | \(0.788441\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 2.89719 | + | 19.1470i | 0.149610 | + | 0.988745i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 5.39483 | + | 2.74880i | 0.277848 | + | 0.141571i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 19.2777 | + | 26.5335i | 0.990229 | + | 1.36293i | 0.931133 | + | 0.364681i | \(0.118822\pi\) |
0.0590965 | + | 0.998252i | \(0.481178\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −2.36786 | − | 5.79647i | −0.121309 | − | 0.296962i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −2.51909 | − | 15.9049i | −0.128720 | − | 0.812703i | −0.964586 | − | 0.263770i | \(-0.915034\pi\) |
0.835866 | − | 0.548933i | \(-0.184966\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 3.08242 | + | 0.573438i | 0.157094 | + | 0.0292251i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −5.05331 | − | 3.74745i | −0.256874 | − | 0.190494i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 7.88904 | + | 24.2800i | 0.399990 | + | 1.23104i | 0.925007 | + | 0.379951i | \(0.124059\pi\) |
−0.525017 | + | 0.851092i | \(0.675941\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −3.23122 | + | 9.94467i | −0.163410 | + | 0.502924i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 4.42832 | + | 18.8507i | 0.223379 | + | 0.950890i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −16.7942 | − | 12.9046i | −0.845009 | − | 0.649302i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −2.82041 | − | 0.446710i | −0.141553 | − | 0.0224197i | 0.0852560 | − | 0.996359i | \(-0.472829\pi\) |
−0.226809 | + | 0.973939i | \(0.572829\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 4.78161 | − | 7.71796i | 0.239380 | − | 0.386381i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 27.6582i | 1.38119i | 0.723244 | + | 0.690593i | \(0.242650\pi\) | ||||
−0.723244 | + | 0.690593i | \(0.757350\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −0.958028 | + | 6.04875i | −0.0477228 | + | 0.301310i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −16.8123 | + | 11.0610i | −0.835410 | + | 0.549627i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 5.61046 | − | 5.61046i | 0.278100 | − | 0.278100i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 25.9665 | + | 8.43701i | 1.28396 | + | 0.417183i | 0.869973 | − | 0.493100i | \(-0.164136\pi\) |
0.413986 | + | 0.910283i | \(0.364136\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 20.7142 | + | 5.08023i | 1.02176 | + | 0.250589i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 13.9574 | − | 7.11166i | 0.686800 | − | 0.349942i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 17.1609 | + | 36.0410i | 0.842397 | + | 1.76918i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 11.0931 | − | 26.4153i | 0.543232 | − | 1.29356i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 14.7007 | + | 10.6807i | 0.718178 | + | 0.521787i | 0.885802 | − | 0.464064i | \(-0.153609\pi\) |
−0.167624 | + | 0.985851i | \(0.553609\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −0.685185 | + | 0.497816i | −0.0333939 | + | 0.0242621i | −0.604357 | − | 0.796714i | \(-0.706570\pi\) |
0.570963 | + | 0.820976i | \(0.306570\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −1.23767 | − | 0.0120971i | −0.0601775 | − | 0.000588183i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 8.27485 | − | 7.43057i | 0.401389 | − | 0.360435i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −0.649318 | + | 1.27436i | −0.0314227 | + | 0.0616705i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −9.41837 | + | 0.694947i | −0.454723 | + | 0.0335524i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 11.3436 | − | 15.6131i | 0.546401 | − | 0.752057i | −0.443117 | − | 0.896464i | \(-0.646127\pi\) |
0.989518 | + | 0.144407i | \(0.0461274\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 14.7512 | − | 2.33636i | 0.708897 | − | 0.112278i | 0.208434 | − | 0.978036i | \(-0.433163\pi\) |
0.500463 | + | 0.865758i | \(0.333163\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0.950886 | + | 4.59916i | 0.0455915 | + | 0.220513i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −8.71262 | − | 17.0995i | −0.416781 | − | 0.817979i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 3.77327 | − | 1.22601i | 0.180088 | − | 0.0585143i | −0.217585 | − | 0.976041i | \(-0.569818\pi\) |
0.397673 | + | 0.917527i | \(0.369818\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −15.8799 | + | 2.35627i | −0.756187 | + | 0.112204i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 20.1922 | + | 20.1922i | 0.959360 | + | 0.959360i | 0.999206 | − | 0.0398456i | \(-0.0126866\pi\) |
−0.0398456 | + | 0.999206i | \(0.512687\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 16.8186 | + | 24.5065i | 0.797278 | + | 1.16172i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −8.16186 | + | 9.46228i | −0.386043 | + | 0.447551i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −19.6086 | −0.925387 | −0.462693 | − | 0.886518i | \(-0.653117\pi\) | ||||
−0.462693 | + | 0.886518i | \(0.653117\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −9.84714 | −0.463684 | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 9.72335 | − | 11.2726i | 0.456843 | − | 0.529631i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −0.384923 | + | 14.3311i | −0.0180455 | + | 0.671851i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 0.286369 | + | 0.286369i | 0.0133958 | + | 0.0133958i | 0.713773 | − | 0.700377i | \(-0.246985\pi\) |
−0.700377 | + | 0.713773i | \(0.746985\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 10.6120 | + | 4.57902i | 0.495324 | + | 0.213730i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −7.31001 | + | 2.37517i | −0.340461 | + | 0.110623i | −0.474257 | − | 0.880386i | \(-0.657283\pi\) |
0.133796 | + | 0.991009i | \(0.457283\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −2.82556 | − | 5.54548i | −0.131315 | − | 0.257720i | 0.815982 | − | 0.578078i | \(-0.196197\pi\) |
−0.947297 | + | 0.320358i | \(0.896197\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −4.12698 | + | 2.35221i | −0.191384 | + | 0.109081i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −2.70390 | + | 0.428256i | −0.125122 | + | 0.0198173i | −0.218681 | − | 0.975796i | \(-0.570175\pi\) |
0.0935595 | + | 0.995614i | \(0.470175\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 5.92182 | − | 8.15069i | 0.273444 | − | 0.376364i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −22.5300 | + | 1.66241i | −1.03813 | + | 0.0765997i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 1.03963 | − | 2.04039i | 0.0478023 | − | 0.0938172i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −1.09570 | + | 20.3822i | −0.0502740 | + | 0.935202i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −0.409524 | + | 41.8987i | −0.0187508 | + | 1.91841i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 5.68590 | − | 4.13105i | 0.259796 | − | 0.188753i | −0.450261 | − | 0.892897i | \(-0.648669\pi\) |
0.710057 | + | 0.704144i | \(0.248669\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 29.3513 | + | 21.3249i | 1.33830 | + | 0.972334i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 4.04816 | − | 9.63961i | 0.184198 | − | 0.438617i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −34.4211 | + | 4.50806i | −1.56298 | + | 0.204700i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 7.03443 | − | 3.58422i | 0.318761 | − | 0.162417i | −0.287288 | − | 0.957844i | \(-0.592754\pi\) |
0.606049 | + | 0.795428i | \(0.292754\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −1.59018 | − | 0.389997i | −0.0719104 | − | 0.0176363i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 7.06686 | + | 2.29616i | 0.318923 | + | 0.103624i | 0.464104 | − | 0.885781i | \(-0.346376\pi\) |
−0.145181 | + | 0.989405i | \(0.546376\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 1.90721 | − | 1.90721i | 0.0858963 | − | 0.0858963i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −4.98662 | − | 5.36597i | −0.224132 | − | 0.241182i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 2.06667 | − | 13.0485i | 0.0927030 | − | 0.585303i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | − | 16.9596i | − | 0.759216i | −0.925147 | − | 0.379608i | \(-0.876059\pi\) | ||
0.925147 | − | 0.379608i | \(-0.123941\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 21.2863 | − | 34.3581i | 0.951004 | − | 1.53501i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 37.8665 | + | 5.99747i | 1.68839 | + | 0.267414i | 0.925397 | − | 0.378998i | \(-0.123731\pi\) |
0.762988 | + | 0.646412i | \(0.223731\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −6.89793 | − | 23.3447i | −0.306954 | − | 1.03882i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −4.72616 | − | 20.1185i | −0.209896 | − | 0.893493i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 7.22530 | − | 22.2372i | 0.320256 | − | 0.985646i | −0.653281 | − | 0.757116i | \(-0.726608\pi\) |
0.973537 | − | 0.228531i | \(-0.0733921\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 2.64231 | + | 8.13220i | 0.116889 | + | 0.359747i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −19.7146 | + | 7.82947i | −0.870422 | + | 0.345679i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −2.39945 | − | 18.3209i | −0.105732 | − | 0.807313i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −0.0704782 | − | 0.444982i | −0.00309963 | − | 0.0195703i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 2.45868 | + | 6.01880i | 0.107924 | + | 0.264196i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 6.11512 | + | 8.41674i | 0.267908 | + | 0.368744i | 0.921682 | − | 0.387946i | \(-0.126815\pi\) |
−0.653774 | + | 0.756690i | \(0.726815\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 29.8122 | + | 15.1901i | 1.30360 | + | 0.664216i | 0.961333 | − | 0.275389i | \(-0.0888065\pi\) |
0.342263 | + | 0.939604i | \(0.388806\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −8.86414 | + | 6.71433i | −0.386863 | + | 0.293037i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 2.43076 | + | 1.23853i | 0.105886 | + | 0.0539514i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 0.529182 | + | 0.728357i | 0.0230079 | + | 0.0316677i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −36.0908 | − | 6.07839i | −1.56621 | − | 0.263780i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −7.04366 | − | 44.4719i | −0.305095 | − | 1.92629i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 9.92464 | − | 18.2496i | 0.429079 | − | 0.788999i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 1.45745 | − | 17.4292i | 0.0628935 | − | 0.752127i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −1.80575 | − | 5.55753i | −0.0777792 | − | 0.239380i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −0.727097 | + | 2.23777i | −0.0312603 | + | 0.0962094i | −0.965469 | − | 0.260517i | \(-0.916107\pi\) |
0.934209 | + | 0.356726i | \(0.116107\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −20.7669 | + | 4.87849i | −0.891194 | + | 0.209356i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 43.5193 | + | 1.16890i | 1.86416 | + | 0.0500701i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −43.1229 | − | 6.82999i | −1.84380 | − | 0.292029i | −0.865762 | − | 0.500456i | \(-0.833166\pi\) |
−0.978038 | + | 0.208426i | \(0.933166\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 2.99209 | − | 1.48789i | 0.127699 | − | 0.0635016i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 4.95029i | 0.210889i | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 1.90257 | − | 12.0123i | 0.0809055 | − | 0.510817i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 1.31652 | + | 28.1102i | 0.0558832 | + | 1.19321i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −3.81138 | + | 3.81138i | −0.161493 | + | 0.161493i | −0.783228 | − | 0.621735i | \(-0.786428\pi\) |
0.621735 | + | 0.783228i | \(0.286428\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 9.95852 | + | 3.23572i | 0.421200 | + | 0.136856i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −1.00208 | + | 4.08589i | −0.0423078 | + | 0.172507i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −29.0405 | + | 14.7969i | −1.22391 | + | 0.623615i | −0.941931 | − | 0.335805i | \(-0.890992\pi\) |
−0.281981 | + | 0.959420i | \(0.590992\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −10.1946 | + | 9.66125i | −0.428889 | + | 0.406452i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −10.1922 | − | 5.44670i | −0.428032 | − | 0.228740i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −1.73598 | − | 1.26126i | −0.0727760 | − | 0.0528749i | 0.550802 | − | 0.834636i | \(-0.314322\pi\) |
−0.623578 | + | 0.781761i | \(0.714322\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 4.09296 | − | 2.97371i | 0.171285 | − | 0.124446i | −0.498840 | − | 0.866694i | \(-0.666240\pi\) |
0.670125 | + | 0.742248i | \(0.266240\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −19.0460 | + | 11.5438i | −0.795658 | + | 0.482247i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 2.42549 | + | 23.3797i | 0.101150 | + | 0.975000i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 10.9908 | − | 21.5708i | 0.457555 | − | 0.898002i | −0.540827 | − | 0.841134i | \(-0.681889\pi\) |
0.998382 | − | 0.0568682i | \(-0.0181115\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −1.79699 | − | 24.3540i | −0.0746804 | − | 1.01212i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −13.4734 | + | 18.5446i | −0.558973 | + | 0.769360i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −15.0640 | + | 2.38590i | −0.623886 | + | 0.0988138i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 20.6670 | − | 26.3590i | 0.854476 | − | 1.08981i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 12.2504 | + | 24.0428i | 0.505628 | + | 0.992352i | 0.992883 | + | 0.119092i | \(0.0379983\pi\) |
−0.487255 | + | 0.873260i | \(0.662002\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −4.76196 | + | 1.54725i | −0.196213 | + | 0.0637535i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −8.60267 | − | 10.1727i | −0.353866 | − | 0.418448i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 7.14857 | + | 7.14857i | 0.293556 | + | 0.293556i | 0.838483 | − | 0.544927i | \(-0.183443\pi\) |
−0.544927 | + | 0.838483i | \(0.683443\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 6.01858 | + | 2.13585i | 0.246738 | + | 0.0875614i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 21.0980 | + | 18.1985i | 0.863485 | + | 0.744815i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −20.6392 | −0.843294 | −0.421647 | − | 0.906760i | \(-0.638548\pi\) | ||||
−0.421647 | + | 0.906760i | \(0.638548\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −7.30272 | −0.297884 | −0.148942 | − | 0.988846i | \(-0.547587\pi\) | ||||
−0.148942 | + | 0.988846i | \(0.547587\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −22.4567 | + | 7.05471i | −0.914506 | + | 0.287290i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −13.3621 | + | 17.3895i | −0.543245 | + | 0.706985i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 10.3692 | + | 10.3692i | 0.420872 | + | 0.420872i | 0.885504 | − | 0.464632i | \(-0.153813\pi\) |
−0.464632 | + | 0.885504i | \(0.653813\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −2.05924 | + | 1.74143i | −0.0834446 | + | 0.0705661i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 1.95923 | − | 0.636592i | 0.0792619 | − | 0.0257537i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −2.08080 | − | 4.08379i | −0.0840425 | − | 0.164943i | 0.845160 | − | 0.534513i | \(-0.179505\pi\) |
−0.929203 | + | 0.369570i | \(0.879505\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 23.5133 | − | 25.8240i | 0.948149 | − | 1.04132i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 3.30490 | − | 0.523445i | 0.133050 | − | 0.0210731i | −0.0895540 | − | 0.995982i | \(-0.528544\pi\) |
0.222604 | + | 0.974909i | \(0.428544\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −18.6414 | + | 25.6577i | −0.749260 | + | 1.03127i | 0.248772 | + | 0.968562i | \(0.419973\pi\) |
−0.998032 | + | 0.0627063i | \(0.980027\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −21.0126 | + | 12.4565i | −0.843205 | + | 0.499862i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −7.74862 | + | 15.2075i | −0.310442 | + | 0.609277i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 10.2299 | − | 22.8112i | 0.409194 | − | 0.912447i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −4.00213 | − | 6.60310i | −0.159830 | − | 0.263702i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 13.0750 | − | 9.49957i | 0.521336 | − | 0.378773i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −2.88632 | − | 2.09703i | −0.114902 | − | 0.0834815i | 0.528850 | − | 0.848715i | \(-0.322623\pi\) |
−0.643753 | + | 0.765234i | \(0.722623\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 36.0068 | + | 15.1211i | 1.43114 | + | 0.601010i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −1.47845 | + | 7.94715i | −0.0586705 | + | 0.315373i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 23.8074 | − | 12.1305i | 0.943285 | − | 0.480628i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −22.0381 | + | 21.6114i | −0.871813 | + | 0.854935i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −26.6743 | − | 8.66700i | −1.05357 | − | 0.342326i | −0.269502 | − | 0.963000i | \(-0.586859\pi\) |
−0.784069 | + | 0.620674i | \(0.786859\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −4.46449 | + | 4.46449i | −0.176062 | + | 0.176062i | −0.789637 | − | 0.613575i | \(-0.789731\pi\) |
0.613575 | + | 0.789637i | \(0.289731\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 2.86843 | + | 7.59853i | 0.112945 | + | 0.299192i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 2.38692 | − | 15.0704i | 0.0938396 | − | 0.592480i | −0.895296 | − | 0.445472i | \(-0.853036\pi\) |
0.989135 | − | 0.147008i | \(-0.0469642\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | − | 13.3220i | − | 0.522933i | ||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −2.31881 | − | 1.43660i | −0.0908812 | − | 0.0563048i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −21.6865 | − | 3.43481i | −0.848660 | − | 0.134415i | −0.283068 | − | 0.959100i | \(-0.591352\pi\) |
−0.565592 | + | 0.824685i | \(0.691352\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 8.36055 | − | 23.5591i | 0.326674 | − | 0.920529i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 6.35888 | − | 18.9388i | 0.248084 | − | 0.738872i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −3.02628 | + | 9.31393i | −0.117887 | + | 0.362819i | −0.992538 | − | 0.121934i | \(-0.961090\pi\) |
0.874651 | + | 0.484753i | \(0.161090\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −14.2639 | − | 43.8997i | −0.554800 | − | 1.70750i | −0.696471 | − | 0.717585i | \(-0.745247\pi\) |
0.141671 | − | 0.989914i | \(-0.454753\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −19.1696 | − | 1.60298i | −0.744487 | − | 0.0622546i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −10.5827 | + | 5.03895i | −0.410380 | + | 0.195402i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 0.891759 | + | 5.63034i | 0.0345290 | + | 0.218008i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 18.2764 | − | 7.46591i | 0.706607 | − | 0.288649i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 0.714946 | + | 0.984039i | 0.0276002 | + | 0.0379884i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −8.88482 | − | 4.52704i | −0.342485 | − | 0.174505i | 0.274285 | − | 0.961648i | \(-0.411559\pi\) |
−0.616769 | + | 0.787144i | \(0.711559\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 25.9794 | − | 0.264307i | 0.999948 | − | 0.0101732i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 32.0266 | + | 16.3184i | 1.23088 | + | 0.627167i | 0.943730 | − | 0.330718i | \(-0.107291\pi\) |
0.287154 | + | 0.957884i | \(0.407291\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −11.7173 | − | 16.1274i | −0.449668 | − | 0.618914i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 22.7429 | − | 9.29046i | 0.871510 | − | 0.356011i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 4.75779 | + | 30.0395i | 0.182052 | + | 1.14943i | 0.894289 | + | 0.447490i | \(0.147682\pi\) |
−0.712237 | + | 0.701939i | \(0.752318\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −18.9400 | − | 19.9855i | −0.723660 | − | 0.763607i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −6.05567 | − | 0.506380i | −0.231038 | − | 0.0193196i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −21.5505 | − | 66.3257i | −0.821009 | − | 2.52681i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −5.29160 | + | 16.2859i | −0.201302 | + | 0.619543i | 0.798543 | + | 0.601938i | \(0.205604\pi\) |
−0.999845 | + | 0.0176058i | \(0.994396\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 1.33890 | − | 3.98768i | 0.0508607 | − | 0.151479i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −30.4961 | + | 20.9292i | −1.15678 | + | 0.793889i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −19.8108 | − | 3.13772i | −0.750387 | − | 0.118850i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −4.23605 | − | 2.62441i | −0.160222 | − | 0.0992644i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | − | 36.7694i | − | 1.38876i | −0.719609 | − | 0.694380i | \(-0.755679\pi\) | ||
0.719609 | − | 0.694380i | \(-0.244321\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −4.64018 | + | 29.2970i | −0.175008 | + | 1.10496i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 1.33525 | + | 0.877715i | 0.0502885 | + | 0.0330567i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 9.88417 | − | 9.88417i | 0.371732 | − | 0.371732i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −34.2516 | − | 11.1290i | −1.28635 | − | 0.417959i | −0.415535 | − | 0.909577i | \(-0.636406\pi\) |
−0.870811 | + | 0.491618i | \(0.836406\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −20.2881 | + | 19.8954i | −0.760865 | + | 0.746135i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −5.13741 | + | 2.61764i | −0.192398 | + | 0.0980315i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 10.7107 | + | 5.82478i | 0.400558 | + | 0.217835i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −22.9682 | − | 9.64553i | −0.857765 | − | 0.360219i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −27.9485 | − | 20.3058i | −1.04230 | − | 0.757278i | −0.0715696 | − | 0.997436i | \(-0.522801\pi\) |
−0.970734 | + | 0.240158i | \(0.922801\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 8.58395 | − | 6.23660i | 0.319683 | − | 0.232263i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 2.54932 | + | 4.20611i | 0.0948102 | + | 0.156427i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 2.18042 | − | 5.65742i | 0.0809788 | − | 0.210111i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 14.5118 | − | 28.4810i | 0.538212 | − | 1.05630i | −0.448494 | − | 0.893786i | \(-0.648039\pi\) |
0.986706 | − | 0.162515i | \(-0.0519607\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 11.5472 | + | 24.4062i | 0.427673 | + | 0.903933i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 2.74172 | − | 3.77365i | 0.101406 | − | 0.139574i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 20.6997 | − | 3.27851i | 0.764560 | − | 0.121094i | 0.238038 | − | 0.971256i | \(-0.423496\pi\) |
0.526522 | + | 0.850161i | \(0.323496\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 18.8864 | + | 8.53490i | 0.696635 | + | 0.314815i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −3.88980 | − | 7.63416i | −0.143283 | − | 0.281208i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −7.83354 | + | 2.54527i | −0.288162 | + | 0.0936294i | −0.449531 | − | 0.893265i | \(-0.648409\pi\) |
0.161370 | + | 0.986894i | \(0.448409\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 26.9584 | − | 22.7977i | 0.990340 | − | 0.837495i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −30.1299 | − | 30.1299i | −1.10536 | − | 1.10536i | −0.993752 | − | 0.111607i | \(-0.964400\pi\) |
−0.111607 | − | 0.993752i | \(-0.535600\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 15.4711 | − | 4.57141i | 0.566816 | − | 0.167484i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 51.0938 | − | 16.0510i | 1.86943 | − | 0.587276i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 11.9290 | 0.435876 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −26.7528 | −0.976225 | −0.488113 | − | 0.872781i | \(-0.662314\pi\) | ||||
−0.488113 | + | 0.872781i | \(0.662314\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 16.8494 | + | 14.5337i | 0.614025 | + | 0.529638i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −18.4309 | + | 5.44600i | −0.670769 | + | 0.198200i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −1.20647 | − | 1.20647i | −0.0438498 | − | 0.0438498i | 0.684842 | − | 0.728692i | \(-0.259871\pi\) |
−0.728692 | + | 0.684842i | \(0.759871\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −5.74143 | − | 6.78925i | −0.208401 | − | 0.246434i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −41.1754 | + | 13.3787i | −1.49261 | + | 0.484978i | −0.937852 | − | 0.347035i | \(-0.887189\pi\) |
−0.554756 | + | 0.832013i | \(0.687189\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 11.3495 | + | 22.2746i | 0.410878 | + | 0.806394i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −8.32241 | − | 12.3844i | −0.300898 | − | 0.447758i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 60.1650 | − | 9.52920i | 2.17243 | − | 0.344080i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −19.1217 | + | 26.3187i | −0.689545 | + | 0.949078i | −0.999999 | − | 0.00151094i | \(-0.999519\pi\) |
0.310454 | + | 0.950589i | \(0.399519\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −1.70851 | − | 23.1549i | −0.0615306 | − | 0.833902i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −7.28640 | + | 14.3004i | −0.262074 | + | 0.514348i | −0.984122 | − | 0.177494i | \(-0.943201\pi\) |
0.722048 | + | 0.691843i | \(0.243201\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 6.12370 | + | 0.329194i | 0.219970 | + | 0.0118250i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −13.8194 | + | 8.37593i | −0.495769 | + | 0.300485i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 29.7822 | − | 21.6381i | 1.06706 | − | 0.775264i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −9.08951 | − | 6.60392i | −0.325248 | − | 0.236307i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 6.28806 | − | 0.402223i | 0.224717 | − | 0.0143743i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 25.6215 | + | 13.9337i | 0.914470 | + | 0.497314i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −2.48782 | + | 1.26761i | −0.0886811 | + | 0.0451853i | −0.497769 | − | 0.867310i | \(-0.665847\pi\) |
0.409087 | + | 0.912495i | \(0.365847\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 0.961237 | − | 3.91936i | 0.0342209 | − | 0.139533i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −7.67054 | − | 2.49231i | −0.272733 | − | 0.0886164i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −3.93274 | + | 3.93274i | −0.139656 | + | 0.139656i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 29.7133 | − | 45.2022i | 1.05382 | − | 1.60316i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −7.08694 | + | 44.7452i | −0.251032 | + | 1.58496i | 0.463981 | + | 0.885845i | \(0.346421\pi\) |
−0.715014 | + | 0.699111i | \(0.753579\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | − | 0.917687i | − | 0.0324654i | ||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 35.7060 | − | 17.7557i | 1.26161 | − | 0.627367i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 7.18233 | + | 1.13757i | 0.253459 | + | 0.0401439i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −11.1288 | + | 7.63759i | −0.392238 | + | 0.269190i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −46.5023 | + | 10.9241i | −1.63696 | + | 0.384548i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 10.6570 | − | 32.7987i | 0.374679 | − | 1.15314i | −0.569016 | − | 0.822326i | \(-0.692676\pi\) |
0.943695 | − | 0.330816i | \(-0.107324\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 16.9534 | + | 52.1772i | 0.595315 | + | 1.83219i | 0.553154 | + | 0.833079i | \(0.313424\pi\) |
0.0421604 | + | 0.999111i | \(0.486576\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −4.56191 | + | 54.5547i | −0.159993 | + | 1.91332i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 1.45398 | + | 1.53424i | 0.0509306 | + | 0.0537421i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 1.33923 | + | 8.45555i | 0.0468536 | + | 0.295822i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 18.9670 | + | 3.19441i | 0.662760 | + | 0.111622i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 16.6270 | + | 22.8851i | 0.580287 | + | 0.798697i | 0.993727 | − | 0.111835i | \(-0.0356728\pi\) |
−0.413440 | + | 0.910531i | \(0.635673\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 4.59265 | + | 2.34007i | 0.160090 | + | 0.0815698i | 0.532200 | − | 0.846619i | \(-0.321366\pi\) |
−0.372110 | + | 0.928189i | \(0.621366\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 1.66540 | + | 9.30912i | 0.0579817 | + | 0.324102i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 34.2714 | + | 17.4622i | 1.19173 | + | 0.607219i | 0.933400 | − | 0.358837i | \(-0.116827\pi\) |
0.258334 | + | 0.966056i | \(0.416827\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −17.9690 | − | 24.7323i | −0.624091 | − | 0.858987i | 0.373552 | − | 0.927609i | \(-0.378140\pi\) |
−0.997643 | + | 0.0686222i | \(0.978140\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 4.53905 | + | 11.1115i | 0.157458 | + | 0.385454i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −1.86200 | − | 11.7562i | −0.0645145 | − | 0.407329i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −47.1111 | + | 22.4319i | −1.63035 | + | 0.776289i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 2.35231 | + | 5.92312i | 0.0813076 | + | 0.204733i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −4.25109 | − | 13.0835i | −0.146764 | − | 0.451693i | 0.850470 | − | 0.526024i | \(-0.176318\pi\) |
−0.997234 | + | 0.0743309i | \(0.976318\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −8.50711 | + | 26.1822i | −0.293348 | + | 0.902834i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −2.44446 | − | 10.4056i | −0.0841915 | − | 0.358390i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −8.92285 | + | 25.1436i | −0.306955 | + | 0.864965i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −12.4382 | − | 1.97001i | −0.427380 | − | 0.0676904i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −3.14255 | + | 5.07237i | −0.107852 | + | 0.174083i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 34.1576i | 1.17091i | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −4.81039 | + | 30.3716i | −0.164705 | + | 1.03991i | 0.757396 | + | 0.652956i | \(0.226471\pi\) |
−0.922101 | + | 0.386949i | \(0.873529\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 26.8730 | + | 5.27156i | 0.919036 | + | 0.180284i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 17.0033 | − | 17.0033i | 0.580821 | − | 0.580821i | −0.354308 | − | 0.935129i | \(-0.615283\pi\) |
0.935129 | + | 0.354308i | \(0.115283\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −24.2527 | − | 7.88017i | −0.827490 | − | 0.268868i | −0.135502 | − | 0.990777i | \(-0.543265\pi\) |
−0.691988 | + | 0.721909i | \(0.743265\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 19.4780 | + | 4.77704i | 0.663807 | + | 0.162801i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 4.75115 | − | 2.42083i | 0.161731 | − | 0.0824062i | −0.371251 | − | 0.928532i | \(-0.621071\pi\) |
0.532982 | + | 0.846126i | \(0.321071\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 1.53516 | − | 8.25197i | 0.0521969 | − | 0.280575i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 8.08291 | − | 19.2473i | 0.274510 | − | 0.653672i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −8.36776 | − | 6.07953i | −0.283857 | − | 0.206234i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 31.6952 | − | 23.0279i | 1.07395 | − | 0.780272i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −0.455210 | + | 46.5729i | −0.0154065 | + | 1.57625i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 14.3139 | − | 1.09746i | 0.483898 | − | 0.0371008i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 0.238108 | − | 0.467313i | 0.00804034 | − | 0.0157801i | −0.886951 | − | 0.461863i | \(-0.847181\pi\) |
0.894992 | + | 0.446083i | \(0.147181\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 35.1454 | − | 2.59325i | 1.18542 | − | 0.0874682i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −8.93089 | + | 12.2923i | −0.300889 | + | 0.414139i | −0.932513 | − | 0.361136i | \(-0.882389\pi\) |
0.631624 | + | 0.775275i | \(0.282389\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −39.0132 | + | 6.17909i | −1.31290 | + | 0.207943i | −0.773333 | − | 0.634000i | \(-0.781412\pi\) |
−0.539566 | + | 0.841943i | \(0.681412\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 34.9367 | + | 31.8106i | 1.17438 | + | 1.06930i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 17.1951 | + | 33.7472i | 0.577354 | + | 1.13312i | 0.976355 | + | 0.216171i | \(0.0693569\pi\) |
−0.399001 | + | 0.916950i | \(0.630643\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −4.41465 | + | 1.43441i | −0.148063 | + | 0.0481085i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −8.06235 | + | 5.62019i | −0.270099 | + | 0.188283i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 1.19096 | + | 1.19096i | 0.0398540 | + | 0.0398540i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −13.7576 | + | 17.9043i | −0.459867 | + | 0.598476i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 26.5550 | − | 30.7860i | 0.886645 | − | 1.02791i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 1.48728 | 0.0496035 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −31.0664 | −1.03497 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −3.04626 | + | 3.53161i | −0.101373 | + | 0.117525i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 25.9540 | + | 9.21045i | 0.862740 | + | 0.306166i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 26.2182 | + | 26.2182i | 0.870561 | + | 0.870561i | 0.992533 | − | 0.121973i | \(-0.0389220\pi\) |
−0.121973 | + | 0.992533i | \(0.538922\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −32.3052 | + | 4.79346i | −1.07149 | + | 0.158989i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −7.41217 | + | 2.40836i | −0.245576 | + | 0.0797925i | −0.429219 | − | 0.903201i | \(-0.641211\pi\) |
0.183643 | + | 0.982993i | \(0.441211\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 8.85014 | + | 17.3694i | 0.292897 | + | 0.574843i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −4.28780 | − | 0.474783i | −0.141750 | − | 0.0156959i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 14.1783 | − | 2.24563i | 0.468210 | − | 0.0741572i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −6.54187 | + | 9.00411i | −0.215796 | + | 0.297018i | −0.903168 | − | 0.429288i | \(-0.858765\pi\) |
0.687371 | + | 0.726306i | \(0.258765\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −53.2838 | + | 3.93162i | −1.75576 | + | 0.129551i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 23.3231 | − | 45.7741i | 0.767688 | − | 1.50667i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 18.2073 | − | 31.4381i | 0.598652 | − | 1.03368i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −24.7887 | − | 0.242289i | −0.814169 | − | 0.00795780i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −9.49314 | + | 6.89717i | −0.311460 | + | 0.226289i | −0.732523 | − | 0.680743i | \(-0.761657\pi\) |
0.421063 | + | 0.907032i | \(0.361657\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 17.6735 | + | 12.8406i | 0.579226 | + | 0.420832i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −16.6711 | + | 39.6978i | −0.545787 | + | 1.29965i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 3.94216 | − | 3.73593i | 0.128922 | − | 0.122178i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −28.5913 | + | 14.5680i | −0.934038 | + | 0.475916i | −0.853650 | − | 0.520848i | \(-0.825616\pi\) |
−0.0803881 | + | 0.996764i | \(0.525616\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 19.1517 | + | 4.69702i | 0.624992 | + | 0.153281i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 31.7416 | + | 10.3135i | 1.03475 | + | 0.336210i | 0.776665 | − | 0.629914i | \(-0.216910\pi\) |
0.258082 | + | 0.966123i | \(0.416910\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 29.9757 | − | 29.9757i | 0.976143 | − | 0.976143i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 7.26056 | + | 13.0332i | 0.236186 | + | 0.423969i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 0.422572 | − | 2.66801i | 0.0137317 | − | 0.0866988i | −0.979871 | − | 0.199633i | \(-0.936025\pi\) |
0.993602 | + | 0.112934i | \(0.0360250\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 33.2508i | 1.07937i | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 14.4660 | − | 23.3495i | 0.469092 | − | 0.757158i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 21.3701 | + | 3.38469i | 0.692245 | + | 0.109641i | 0.492637 | − | 0.870235i | \(-0.336033\pi\) |
0.199608 | + | 0.979876i | \(0.436033\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 28.7417 | + | 0.771982i | 0.930059 | + | 0.0249808i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 0.524505 | + | 2.23273i | 0.0169549 | + | 0.0721741i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 4.88595 | − | 15.0374i | 0.157775 | − | 0.485583i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −9.11467 | − | 28.0521i | −0.294021 | − | 0.904905i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −22.3868 | − | 16.6017i | −0.721404 | − | 0.534981i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −15.0617 | + | 27.6957i | −0.484853 | + | 0.891557i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −2.16077 | − | 13.6426i | −0.0694857 | − | 0.438716i | −0.997764 | − | 0.0668302i | \(-0.978711\pi\) |
0.928279 | − | 0.371885i | \(-0.121289\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −5.94758 | − | 14.5596i | −0.191064 | − | 0.467721i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −23.2793 | − | 32.0412i | −0.747069 | − | 1.02825i | −0.998181 | − | 0.0602944i | \(-0.980796\pi\) |
0.251111 | − | 0.967958i | \(-0.419204\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −18.9244 | − | 9.64244i | −0.606687 | − | 0.309122i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −40.8509 | + | 14.1801i | −1.30828 | + | 0.454128i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −36.2603 | − | 18.4756i | −1.16007 | − | 0.591085i | −0.235417 | − | 0.971894i | \(-0.575646\pi\) |
−0.924654 | + | 0.380809i | \(0.875646\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 8.53179 | + | 11.7430i | 0.272677 | + | 0.375308i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 9.70047 | − | 57.5972i | 0.309712 | − | 1.83894i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 1.75697 | + | 11.0931i | 0.0560387 | + | 0.353814i | 0.999735 | + | 0.0230024i | \(0.00732255\pi\) |
−0.943697 | + | 0.330812i | \(0.892677\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 2.23348 | + | 17.0536i | 0.0711646 | + | 0.543374i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −0.0764612 | + | 0.914379i | −0.00243379 | + | 0.0291050i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 3.04641 | + | 9.37590i | 0.0968703 | + | 0.298136i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −8.60678 | + | 26.4889i | −0.273403 | + | 0.841449i | 0.716234 | + | 0.697860i | \(0.245864\pi\) |
−0.989637 | + | 0.143589i | \(0.954136\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 21.2803 | − | 4.99908i | 0.675308 | − | 0.158641i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −10.1929 | − | 34.4958i | −0.323136 | − | 1.09359i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −52.2022 | − | 8.26801i | −1.65326 | − | 0.261851i | −0.741012 | − | 0.671491i | \(-0.765654\pi\) |
−0.912247 | + | 0.409641i | \(0.865654\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 37.5913 | + | 3.51371i | 1.18934 | + | 0.111169i |
(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 | 300.2.x.a.17.3 | ✓ | 80 | |
3.2 | odd | 2 | inner | 300.2.x.a.17.6 | yes | 80 | |
25.3 | odd | 20 | inner | 300.2.x.a.53.6 | yes | 80 | |
75.53 | even | 20 | inner | 300.2.x.a.53.3 | yes | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.2.x.a.17.3 | ✓ | 80 | 1.1 | even | 1 | trivial | |
300.2.x.a.17.6 | yes | 80 | 3.2 | odd | 2 | inner | |
300.2.x.a.53.3 | yes | 80 | 75.53 | even | 20 | inner | |
300.2.x.a.53.6 | yes | 80 | 25.3 | odd | 20 | inner |