Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [432,2,Mod(47,432)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(432, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 0, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("432.47");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 432 = 2^{4} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 432.be (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.44953736732\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 239.1 | ||
Character | \(\chi\) | \(=\) | 432.239 |
Dual form | 432.2.be.a.47.1 |
$q$-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 \(\left(\mathbb{Z}/432\mathbb{Z}\right)^\times\).
\(n\) | \(271\) | \(325\) | \(353\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{11}{18}\right)\) |
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 | ||||||||
\(3\) | −1.72868 | − | 0.107984i | −0.998055 | − | 0.0623444i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 0.902279 | + | 0.159096i | 0.403511 | + | 0.0711499i | 0.371721 | − | 0.928345i | \(-0.378768\pi\) |
0.0317906 | + | 0.999495i | \(0.489879\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.30964 | − | 2.75253i | −0.872963 | − | 1.04036i | −0.998832 | − | 0.0483102i | \(-0.984616\pi\) |
0.125869 | − | 0.992047i | \(-0.459828\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 2.97668 | + | 0.373339i | 0.992226 | + | 0.124446i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 0.316002 | + | 1.79214i | 0.0952783 | + | 0.540350i | 0.994662 | + | 0.103189i | \(0.0329048\pi\) |
−0.899383 | + | 0.437161i | \(0.855984\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −4.18526 | + | 1.52331i | −1.16078 | + | 0.422491i | −0.849377 | − | 0.527786i | \(-0.823022\pi\) |
−0.311406 | + | 0.950277i | \(0.600800\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −1.54257 | − | 0.372458i | −0.398290 | − | 0.0961682i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −3.92200 | − | 2.26437i | −0.951226 | − | 0.549190i | −0.0577643 | − | 0.998330i | \(-0.518397\pi\) |
−0.893461 | + | 0.449140i | \(0.851731\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.794277 | − | 0.458576i | 0.182220 | − | 0.105205i | −0.406115 | − | 0.913822i | \(-0.633117\pi\) |
0.588335 | + | 0.808617i | \(0.299784\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 3.69541 | + | 5.00764i | 0.806405 | + | 1.09276i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −5.68258 | − | 4.76825i | −1.18490 | − | 0.994248i | −0.999934 | − | 0.0115034i | \(-0.996338\pi\) |
−0.184965 | − | 0.982745i | \(-0.559217\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −3.90967 | − | 1.42300i | −0.781934 | − | 0.284601i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −5.10542 | − | 0.966817i | −0.982538 | − | 0.186064i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 3.02791 | − | 8.31913i | 0.562270 | − | 1.54482i | −0.254031 | − | 0.967196i | \(-0.581757\pi\) |
0.816301 | − | 0.577627i | \(-0.196021\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −3.84549 | + | 4.58288i | −0.690671 | + | 0.823110i | −0.991437 | − | 0.130588i | \(-0.958313\pi\) |
0.300766 | + | 0.953698i | \(0.402758\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −0.352746 | − | 3.13216i | −0.0614052 | − | 0.545239i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −1.64603 | − | 2.85100i | −0.278229 | − | 0.481907i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −3.15380 | + | 5.46255i | −0.518482 | + | 0.898037i | 0.481287 | + | 0.876563i | \(0.340169\pi\) |
−0.999769 | + | 0.0214743i | \(0.993164\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 7.39948 | − | 2.18138i | 1.18487 | − | 0.349300i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −1.16283 | − | 3.19486i | −0.181604 | − | 0.498953i | 0.815169 | − | 0.579223i | \(-0.196644\pi\) |
−0.996773 | + | 0.0802698i | \(0.974422\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.919062 | − | 0.162055i | 0.140156 | − | 0.0247132i | −0.103130 | − | 0.994668i | \(-0.532886\pi\) |
0.243286 | + | 0.969955i | \(0.421775\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 2.62640 | + | 0.810434i | 0.391520 | + | 0.120812i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 0.999632 | − | 0.838791i | 0.145811 | − | 0.122350i | −0.566964 | − | 0.823742i | \(-0.691882\pi\) |
0.712776 | + | 0.701392i | \(0.247438\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −1.02641 | + | 5.82105i | −0.146630 | + | 0.831579i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 6.53538 | + | 4.33789i | 0.915136 | + | 0.607426i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | − | 2.53299i | − | 0.347934i | −0.984752 | − | 0.173967i | \(-0.944341\pi\) | ||
0.984752 | − | 0.173967i | \(-0.0556585\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 1.66728i | 0.224816i | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −1.42257 | + | 0.706963i | −0.188424 | + | 0.0936395i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −2.13801 | + | 12.1253i | −0.278346 | + | 1.57858i | 0.449785 | + | 0.893137i | \(0.351501\pi\) |
−0.728130 | + | 0.685439i | \(0.759610\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −2.66045 | + | 2.23238i | −0.340636 | + | 0.285827i | −0.797017 | − | 0.603957i | \(-0.793590\pi\) |
0.456381 | + | 0.889784i | \(0.349145\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −5.84744 | − | 9.05567i | −0.736709 | − | 1.14091i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −4.01863 | + | 0.708592i | −0.498449 | + | 0.0878901i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 0.986708 | + | 2.71096i | 0.120546 | + | 0.331196i | 0.985259 | − | 0.171069i | \(-0.0547222\pi\) |
−0.864713 | + | 0.502266i | \(0.832500\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 9.30847 | + | 8.85641i | 1.12061 | + | 1.06619i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 4.44194 | − | 7.69367i | 0.527161 | − | 0.913070i | −0.472337 | − | 0.881418i | \(-0.656590\pi\) |
0.999499 | − | 0.0316527i | \(-0.0100770\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −0.528554 | − | 0.915482i | −0.0618625 | − | 0.107149i | 0.833435 | − | 0.552617i | \(-0.186371\pi\) |
−0.895298 | + | 0.445468i | \(0.853037\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 6.60491 | + | 2.88210i | 0.762669 | + | 0.332796i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 4.20306 | − | 5.00901i | 0.478983 | − | 0.570829i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 3.99634 | − | 10.9798i | 0.449623 | − | 1.23533i | −0.483364 | − | 0.875420i | \(-0.660585\pi\) |
0.932987 | − | 0.359910i | \(-0.117193\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 8.72124 | + | 2.22262i | 0.969026 | + | 0.246958i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 15.7994 | + | 5.75052i | 1.73421 | + | 0.631201i | 0.998916 | − | 0.0465461i | \(-0.0148214\pi\) |
0.735295 | + | 0.677747i | \(0.237044\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −3.17849 | − | 2.66707i | −0.344755 | − | 0.289284i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −6.13263 | + | 14.0542i | −0.657487 | + | 1.50676i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 13.1352 | − | 7.58359i | 1.39232 | − | 0.803859i | 0.398752 | − | 0.917059i | \(-0.369444\pi\) |
0.993572 | + | 0.113200i | \(0.0361102\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 13.8594 | + | 8.00174i | 1.45286 | + | 0.838811i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 7.14251 | − | 7.50709i | 0.740644 | − | 0.778449i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 0.789617 | − | 0.287397i | 0.0810130 | − | 0.0294863i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 1.86037 | + | 10.5507i | 0.188892 | + | 1.07126i | 0.920852 | + | 0.389912i | \(0.127495\pi\) |
−0.731960 | + | 0.681347i | \(0.761394\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0.271563 | + | 5.45260i | 0.0272931 | + | 0.548007i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −2.54770 | − | 3.03623i | −0.253506 | − | 0.302116i | 0.624250 | − | 0.781225i | \(-0.285405\pi\) |
−0.877756 | + | 0.479108i | \(0.840960\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −2.32334 | − | 0.409667i | −0.228925 | − | 0.0403657i | 0.0580087 | − | 0.998316i | \(-0.481525\pi\) |
−0.286934 | + | 0.957950i | \(0.592636\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 2.53759 | + | 5.10622i | 0.247644 | + | 0.498316i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 7.73225 | 0.747504 | 0.373752 | − | 0.927529i | \(-0.378071\pi\) | ||||
0.373752 | + | 0.927529i | \(0.378071\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −15.5672 | −1.49107 | −0.745533 | − | 0.666469i | \(-0.767805\pi\) | ||||
−0.745533 | + | 0.666469i | \(0.767805\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 6.04179 | − | 9.10244i | 0.573461 | − | 0.863966i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −9.66087 | − | 1.70347i | −0.908818 | − | 0.160249i | −0.300352 | − | 0.953829i | \(-0.597104\pi\) |
−0.608467 | + | 0.793579i | \(0.708215\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −4.36866 | − | 5.20636i | −0.407379 | − | 0.485496i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −13.0269 | + | 2.97189i | −1.20434 | + | 0.274751i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 2.82569 | + | 16.0253i | 0.259031 | + | 1.46904i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 7.22471 | − | 2.62958i | 0.656792 | − | 0.239053i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 1.66518 | + | 5.64846i | 0.150144 | + | 0.509305i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −7.26847 | − | 4.19645i | −0.650112 | − | 0.375342i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 16.7402 | − | 9.66498i | 1.48546 | − | 0.857628i | 0.485593 | − | 0.874185i | \(-0.338604\pi\) |
0.999863 | + | 0.0165567i | \(0.00527040\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −1.60627 | + | 0.180899i | −0.141424 | + | 0.0159272i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −13.4142 | − | 11.2558i | −1.17200 | − | 0.983427i | −0.172004 | − | 0.985096i | \(-0.555024\pi\) |
−0.999999 | + | 0.00166932i | \(0.999469\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −3.09674 | − | 1.12712i | −0.268521 | − | 0.0977338i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −4.45269 | − | 1.68459i | −0.383227 | − | 0.144986i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −5.50764 | + | 15.1321i | −0.470549 | + | 1.29282i | 0.446762 | + | 0.894653i | \(0.352577\pi\) |
−0.917312 | + | 0.398170i | \(0.869645\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −10.6052 | + | 12.6388i | −0.899525 | + | 1.07201i | 0.0975235 | + | 0.995233i | \(0.468908\pi\) |
−0.997048 | + | 0.0767785i | \(0.975537\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −1.81862 | + | 1.34206i | −0.153156 | + | 0.113022i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −4.05254 | − | 7.01921i | −0.338890 | − | 0.586975i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 4.05556 | − | 7.02444i | 0.336796 | − | 0.583348i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 2.40291 | − | 9.95191i | 0.198189 | − | 0.820820i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −2.32731 | − | 6.39423i | −0.190661 | − | 0.523836i | 0.807123 | − | 0.590384i | \(-0.201024\pi\) |
−0.997783 | + | 0.0665481i | \(0.978801\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −14.6770 | + | 2.58795i | −1.19440 | + | 0.210604i | −0.735275 | − | 0.677769i | \(-0.762947\pi\) |
−0.459121 | + | 0.888374i | \(0.651836\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −10.8292 | − | 8.20454i | −0.875487 | − | 0.663298i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −4.19882 | + | 3.52323i | −0.337258 | + | 0.282993i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 1.99263 | − | 11.3007i | 0.159029 | − | 0.901897i | −0.795981 | − | 0.605322i | \(-0.793044\pi\) |
0.955009 | − | 0.296575i | \(-0.0958446\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −0.273522 | + | 4.37874i | −0.0216917 | + | 0.347257i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 26.6544i | 2.10066i | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 3.48604i | 0.273047i | 0.990637 | + | 0.136524i | \(0.0435930\pi\) | ||||
−0.990637 | + | 0.136524i | \(0.956407\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 0.180039 | − | 2.88220i | 0.0140160 | − | 0.224379i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −0.759638 | + | 4.30812i | −0.0587826 | + | 0.333372i | −0.999990 | − | 0.00445650i | \(-0.998581\pi\) |
0.941208 | + | 0.337829i | \(0.109693\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 5.23738 | − | 4.39469i | 0.402876 | − | 0.338053i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 2.53551 | − | 1.06850i | 0.193895 | − | 0.0817102i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 10.3347 | − | 1.82229i | 0.785732 | − | 0.138546i | 0.233634 | − | 0.972325i | \(-0.424938\pi\) |
0.552098 | + | 0.833779i | \(0.313827\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 5.11309 | + | 14.0481i | 0.386513 | + | 1.06194i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 5.00527 | − | 20.7299i | 0.376219 | − | 1.55815i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 12.6163 | − | 21.8521i | 0.942988 | − | 1.63330i | 0.183257 | − | 0.983065i | \(-0.441336\pi\) |
0.759731 | − | 0.650238i | \(-0.225331\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 1.92076 | + | 3.32686i | 0.142769 | + | 0.247283i | 0.928538 | − | 0.371236i | \(-0.121066\pi\) |
−0.785769 | + | 0.618520i | \(0.787733\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 4.84013 | − | 3.57179i | 0.357793 | − | 0.264034i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −3.71468 | + | 4.42698i | −0.273109 | + | 0.325478i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 2.81870 | − | 7.74432i | 0.206124 | − | 0.566321i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 9.13050 | + | 16.2858i | 0.664146 | + | 1.18462i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −9.28905 | − | 3.38094i | −0.672132 | − | 0.244636i | −0.0166663 | − | 0.999861i | \(-0.505305\pi\) |
−0.655465 | + | 0.755225i | \(0.727528\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 7.95376 | + | 6.67400i | 0.572524 | + | 0.480405i | 0.882482 | − | 0.470345i | \(-0.155871\pi\) |
−0.309958 | + | 0.950750i | \(0.600315\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 7.02344 | − | 0.790984i | 0.502959 | − | 0.0566436i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 11.0769 | − | 6.39528i | 0.789200 | − | 0.455645i | −0.0504809 | − | 0.998725i | \(-0.516075\pi\) |
0.839681 | + | 0.543080i | \(0.182742\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 6.79765 | + | 3.92463i | 0.481873 | + | 0.278209i | 0.721197 | − | 0.692730i | \(-0.243592\pi\) |
−0.239324 | + | 0.970940i | \(0.576926\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −1.41296 | − | 4.79293i | −0.0996628 | − | 0.338067i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −29.8920 | + | 10.8798i | −2.09801 | + | 0.763613i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −0.540911 | − | 3.06766i | −0.0377788 | − | 0.214254i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −15.1350 | − | 16.3151i | −1.05196 | − | 1.13398i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 1.07283 | + | 1.27854i | 0.0742089 | + | 0.0884387i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −28.3624 | − | 5.00106i | −1.95255 | − | 0.344287i | −0.999084 | − | 0.0427907i | \(-0.986375\pi\) |
−0.953467 | − | 0.301497i | \(-0.902514\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −8.50949 | + | 12.8202i | −0.583061 | + | 0.878429i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 0.855033 | 0.0583127 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 21.4962 | 1.45926 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 0.814844 | + | 1.63965i | 0.0550620 | + | 0.110797i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 19.8640 | + | 3.50255i | 1.33620 | + | 0.235607i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −15.0617 | − | 17.9499i | −1.00861 | − | 1.20201i | −0.979294 | − | 0.202443i | \(-0.935112\pi\) |
−0.0293149 | − | 0.999570i | \(-0.509333\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −11.1066 | − | 5.69545i | −0.740438 | − | 0.379697i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 0.871006 | + | 4.93972i | 0.0578107 | + | 0.327861i | 0.999973 | − | 0.00729519i | \(-0.00232215\pi\) |
−0.942163 | + | 0.335156i | \(0.891211\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −9.01670 | + | 3.28181i | −0.595840 | + | 0.216868i | −0.622296 | − | 0.782782i | \(-0.713800\pi\) |
0.0264559 | + | 0.999650i | \(0.491578\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −7.80664 | + | 8.20512i | −0.513639 | + | 0.539857i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −18.7009 | − | 10.7969i | −1.22513 | − | 0.707332i | −0.259126 | − | 0.965843i | \(-0.583435\pi\) |
−0.966008 | + | 0.258512i | \(0.916768\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 1.03540 | − | 0.597786i | 0.0675417 | − | 0.0389952i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −8.09404 | + | 18.5491i | −0.525764 | + | 1.20490i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 8.27842 | + | 6.94642i | 0.535486 | + | 0.449326i | 0.869991 | − | 0.493068i | \(-0.164125\pi\) |
−0.334505 | + | 0.942394i | \(0.608569\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 12.1965 | + | 4.43917i | 0.785646 | + | 0.285952i | 0.703525 | − | 0.710670i | \(-0.251608\pi\) |
0.0821214 | + | 0.996622i | \(0.473830\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −14.8362 | − | 4.78395i | −0.951745 | − | 0.306891i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −1.85221 | + | 5.08891i | −0.118334 | + | 0.325119i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −2.62571 | + | 3.12919i | −0.167070 | + | 0.199106i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −26.6912 | − | 11.6469i | −1.69149 | − | 0.738092i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −9.36454 | − | 16.2199i | −0.591085 | − | 1.02379i | −0.994087 | − | 0.108590i | \(-0.965367\pi\) |
0.403002 | − | 0.915199i | \(-0.367967\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 6.74965 | − | 11.6907i | 0.424347 | − | 0.734991i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 5.20659 | + | 4.95374i | 0.326050 | + | 0.310215i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 9.97322 | + | 27.4012i | 0.622113 | + | 1.70924i | 0.701756 | + | 0.712417i | \(0.252399\pi\) |
−0.0796439 | + | 0.996823i | \(0.525378\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 22.3200 | − | 3.93561i | 1.38689 | − | 0.244547i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 12.1190 | − | 23.6329i | 0.750146 | − | 1.46284i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 6.74060 | − | 5.65604i | 0.415643 | − | 0.348766i | −0.410859 | − | 0.911699i | \(-0.634771\pi\) |
0.826503 | + | 0.562932i | \(0.190327\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0.402989 | − | 2.28547i | 0.0247554 | − | 0.140395i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −23.5254 | + | 11.6912i | −1.43973 | + | 0.715491i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 20.0940i | 1.22515i | 0.790412 | + | 0.612575i | \(0.209866\pi\) | ||||
−0.790412 | + | 0.612575i | \(0.790134\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | − | 9.14240i | − | 0.555361i | −0.960673 | − | 0.277681i | \(-0.910434\pi\) | ||
0.960673 | − | 0.277681i | \(-0.0895657\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −23.0945 | − | 15.3291i | −1.39774 | − | 0.927757i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 1.31475 | − | 7.45634i | 0.0792826 | − | 0.449634i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 11.2006 | − | 9.39839i | 0.672977 | − | 0.564694i | −0.240968 | − | 0.970533i | \(-0.577465\pi\) |
0.913945 | + | 0.405839i | \(0.133021\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −13.1578 | + | 12.2061i | −0.787735 | + | 0.730760i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 4.33423 | − | 0.764241i | 0.258558 | − | 0.0455908i | −0.0428663 | − | 0.999081i | \(-0.513649\pi\) |
0.301425 | + | 0.953490i | \(0.402538\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −4.34262 | − | 11.9313i | −0.258142 | − | 0.709239i | −0.999282 | − | 0.0378888i | \(-0.987937\pi\) |
0.741140 | − | 0.671351i | \(-0.234285\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −1.39603 | + | 0.411552i | −0.0826937 | + | 0.0243782i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −6.10820 | + | 10.5797i | −0.360556 | + | 0.624501i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 1.75474 | + | 3.03931i | 0.103220 | + | 0.178783i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −2.07669 | − | 18.4397i | −0.121737 | − | 1.08095i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −13.6489 | + | 16.2661i | −0.797376 | + | 0.950276i | −0.999577 | − | 0.0290682i | \(-0.990746\pi\) |
0.202201 | + | 0.979344i | \(0.435190\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −3.85817 | + | 10.6002i | −0.224631 | + | 0.617169i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 0.119346 | − | 9.45513i | 0.00692517 | − | 0.548642i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 31.0466 | + | 11.3000i | 1.79547 | + | 0.653498i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −2.56877 | − | 2.15545i | −0.148061 | − | 0.124238i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 4.07630 | + | 5.52379i | 0.234177 | + | 0.317333i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −2.75563 | + | 1.59096i | −0.157787 | + | 0.0910983i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 1.24710 | + | 0.720015i | 0.0711759 | + | 0.0410934i | 0.535166 | − | 0.844747i | \(-0.320249\pi\) |
−0.463990 | + | 0.885841i | \(0.653583\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 3.97207 | + | 0.959066i | 0.225963 | + | 0.0545594i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −8.32511 | + | 3.03009i | −0.472073 | + | 0.171821i | −0.567091 | − | 0.823655i | \(-0.691931\pi\) |
0.0950180 | + | 0.995476i | \(0.469709\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −5.38779 | − | 30.5557i | −0.304536 | − | 1.72711i | −0.625681 | − | 0.780079i | \(-0.715179\pi\) |
0.321145 | − | 0.947030i | \(-0.395932\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −3.83530 | − | 9.10104i | −0.216095 | − | 0.512785i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 1.05369 | + | 1.25574i | 0.0591813 | + | 0.0705295i | 0.794823 | − | 0.606841i | \(-0.207564\pi\) |
−0.735642 | + | 0.677371i | \(0.763119\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 15.8659 | + | 2.79758i | 0.888318 | + | 0.156634i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −13.3666 | − | 0.834957i | −0.746050 | − | 0.0466027i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −4.15354 | −0.231109 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 18.5307 | 1.02790 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 26.9107 | + | 1.68100i | 1.48817 | + | 0.0929597i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −4.61759 | − | 0.814205i | −0.254576 | − | 0.0448886i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −4.17455 | − | 4.97503i | −0.229454 | − | 0.273452i | 0.639017 | − | 0.769193i | \(-0.279341\pi\) |
−0.868471 | + | 0.495740i | \(0.834897\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −11.4272 | + | 15.0828i | −0.626209 | + | 0.826533i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 0.458983 | + | 2.60302i | 0.0250769 | + | 0.142218i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 19.8793 | − | 7.23548i | 1.08290 | − | 0.394142i | 0.261911 | − | 0.965092i | \(-0.415647\pi\) |
0.820985 | + | 0.570950i | \(0.193425\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 16.5166 | + | 3.98798i | 0.897060 | + | 0.216597i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −9.42834 | − | 5.44346i | −0.510573 | − | 0.294780i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −3.38918 | + | 1.95675i | −0.182999 | + | 0.105654i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 6.98981 | + | 9.47189i | 0.376319 | + | 0.509949i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 7.60026 | + | 6.37737i | 0.408003 | + | 0.342355i | 0.823577 | − | 0.567204i | \(-0.191975\pi\) |
−0.415574 | + | 0.909559i | \(0.636419\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −10.6407 | − | 3.87290i | −0.569583 | − | 0.207311i | 0.0411427 | − | 0.999153i | \(-0.486900\pi\) |
−0.610726 | + | 0.791842i | \(0.709122\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 22.8403 | − | 3.73075i | 1.21912 | − | 0.199133i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 3.15842 | − | 8.67769i | 0.168106 | − | 0.461867i | −0.826821 | − | 0.562464i | \(-0.809853\pi\) |
0.994927 | + | 0.100598i | \(0.0320755\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 5.23190 | − | 6.23514i | 0.277680 | − | 0.330927i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −3.15425 | − | 28.0078i | −0.166941 | − | 1.48233i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 8.31565 | + | 14.4031i | 0.438883 | + | 0.760168i | 0.997604 | − | 0.0691878i | \(-0.0220408\pi\) |
−0.558720 | + | 0.829356i | \(0.688707\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −9.07942 | + | 15.7260i | −0.477864 | + | 0.827685i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −12.7732 | + | 3.76556i | −0.670418 | + | 0.197640i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −0.331253 | − | 0.910110i | −0.0173386 | − | 0.0476374i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −15.0549 | + | 2.65459i | −0.785860 | + | 0.138568i | −0.552158 | − | 0.833740i | \(-0.686195\pi\) |
−0.233703 | + | 0.972308i | \(0.575084\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −2.26862 | − | 9.94420i | −0.118100 | − | 0.517675i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −6.97213 | + | 5.85032i | −0.361975 | + | 0.303733i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −3.27227 | + | 18.5580i | −0.169432 | + | 0.960896i | 0.774945 | + | 0.632029i | \(0.217778\pi\) |
−0.944376 | + | 0.328866i | \(0.893333\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 12.1117 | + | 8.03920i | 0.625446 | + | 0.415143i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 39.4302i | 2.03076i | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 27.7620i | 1.42604i | 0.701144 | + | 0.713019i | \(0.252673\pi\) | ||||
−0.701144 | + | 0.713019i | \(0.747327\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −29.9822 | + | 14.9000i | −1.53603 | + | 0.763350i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 5.46348 | − | 30.9849i | 0.279171 | − | 1.58325i | −0.446224 | − | 0.894921i | \(-0.647231\pi\) |
0.725394 | − | 0.688333i | \(-0.241657\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 4.58924 | − | 3.85083i | 0.233889 | − | 0.196256i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 2.79626 | − | 0.139265i | 0.142142 | − | 0.00707926i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −9.58341 | + | 1.68981i | −0.485898 | + | 0.0856769i | −0.411230 | − | 0.911532i | \(-0.634901\pi\) |
−0.0746678 | + | 0.997208i | \(0.523790\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 11.4900 | + | 31.5685i | 0.581075 | + | 1.59649i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 21.9734 | + | 20.9063i | 1.10841 | + | 1.05458i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 5.35266 | − | 9.27108i | 0.269322 | − | 0.466479i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −8.72266 | − | 15.1081i | −0.437778 | − | 0.758253i | 0.559740 | − | 0.828668i | \(-0.310901\pi\) |
−0.997518 | + | 0.0704151i | \(0.977568\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 5.23156 | + | 2.28283i | 0.261906 | + | 0.114284i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 6.59597 | − | 7.86077i | 0.329387 | − | 0.392548i | −0.575780 | − | 0.817605i | \(-0.695301\pi\) |
0.905167 | + | 0.425057i | \(0.139746\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 9.11325 | − | 25.0385i | 0.453963 | − | 1.24725i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 7.51537 | + | 3.39294i | 0.373442 | + | 0.168596i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −10.7863 | − | 3.92587i | −0.534655 | − | 0.194598i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −5.65802 | − | 4.74764i | −0.279771 | − | 0.234756i | 0.492094 | − | 0.870542i | \(-0.336232\pi\) |
−0.771865 | + | 0.635786i | \(0.780676\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 11.1550 | − | 25.5639i | 0.550234 | − | 1.26097i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 38.3132 | − | 22.1201i | 1.88527 | − | 1.08846i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 13.3406 | + | 7.70219i | 0.654864 | + | 0.378086i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 19.6979 | − | 20.7033i | 0.964609 | − | 1.01385i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −15.7103 | + | 5.71807i | −0.767496 | + | 0.279346i | −0.695949 | − | 0.718091i | \(-0.745016\pi\) |
−0.0715474 | + | 0.997437i | \(0.522794\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 1.99066 | + | 11.2896i | 0.0970187 | + | 0.550221i | 0.994110 | + | 0.108375i | \(0.0345648\pi\) |
−0.897091 | + | 0.441845i | \(0.854324\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 3.28874 | − | 2.12361i | 0.159904 | − | 0.103253i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 12.1115 | + | 14.4340i | 0.587495 | + | 0.700150i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 12.2894 | + | 2.16695i | 0.594725 | + | 0.104866i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 6.24759 | + | 12.5716i | 0.301637 | + | 0.606961i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 16.5555 | 0.797449 | 0.398724 | − | 0.917071i | \(-0.369453\pi\) | ||||
0.398724 | + | 0.917071i | \(0.369453\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −4.88427 | −0.234723 | −0.117361 | − | 0.993089i | \(-0.537444\pi\) | ||||
−0.117361 | + | 0.993089i | \(0.537444\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −7.76930 | + | 11.7051i | −0.372509 | + | 0.561216i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −6.70014 | − | 1.18142i | −0.320511 | − | 0.0565148i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 19.5417 | + | 23.2889i | 0.932677 | + | 1.11152i | 0.993552 | + | 0.113375i | \(0.0361662\pi\) |
−0.0608757 | + | 0.998145i | \(0.519389\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −5.22851 | + | 16.9442i | −0.248977 | + | 0.806867i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −0.340783 | − | 1.93268i | −0.0161911 | − | 0.0918243i | 0.975641 | − | 0.219372i | \(-0.0704007\pi\) |
−0.991832 | + | 0.127547i | \(0.959290\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 13.0581 | − | 4.75276i | 0.619013 | − | 0.225302i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 3.33270 | + | 11.3049i | 0.157631 | + | 0.534703i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −25.2445 | − | 14.5749i | −1.19136 | − | 0.687834i | −0.232747 | − | 0.972537i | \(-0.574771\pi\) |
−0.958616 | + | 0.284704i | \(0.908105\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 5.35817 | − | 3.09354i | 0.252307 | − | 0.145669i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 25.6513 | − | 2.88886i | 1.20520 | − | 0.135731i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 11.2320 | + | 9.42478i | 0.526565 | + | 0.441841i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 28.2232 | + | 10.2724i | 1.32023 | + | 0.480523i | 0.903531 | − | 0.428523i | \(-0.140966\pi\) |
0.416695 | + | 0.909046i | \(0.363188\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 17.8342 | + | 15.3524i | 0.832431 | + | 0.716589i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −0.669179 | + | 1.83856i | −0.0311668 | + | 0.0856301i | −0.954300 | − | 0.298850i | \(-0.903397\pi\) |
0.923133 | + | 0.384480i | \(0.125619\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −13.0605 | + | 15.5649i | −0.606974 | + | 0.723363i | −0.978772 | − | 0.204950i | \(-0.934297\pi\) |
0.371799 | + | 0.928313i | \(0.378741\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 7.63888 | − | 5.63714i | 0.354245 | − | 0.261416i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 0.632284 | + | 1.09515i | 0.0292586 | + | 0.0506774i | 0.880284 | − | 0.474447i | \(-0.157352\pi\) |
−0.851025 | + | 0.525125i | \(0.824019\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 5.18304 | − | 8.97729i | 0.239330 | − | 0.414533i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −4.66491 | + | 19.3202i | −0.214948 | + | 0.890228i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 0.580852 | + | 1.59588i | 0.0267076 | + | 0.0733785i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −3.75791 | + | 0.662622i | −0.172425 | + | 0.0304032i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0.945665 | − | 7.53991i | 0.0432990 | − | 0.345229i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 5.46294 | − | 4.58395i | 0.249608 | − | 0.209446i | −0.509395 | − | 0.860533i | \(-0.670131\pi\) |
0.759004 | + | 0.651086i | \(0.225686\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 4.87834 | − | 27.6664i | 0.222433 | − | 1.26148i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 2.87824 | − | 46.0770i | 0.130964 | − | 2.09657i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 9.81563i | 0.445705i | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | − | 35.3831i | − | 1.60336i | −0.597752 | − | 0.801681i | \(-0.703939\pi\) | ||
0.597752 | − | 0.801681i | \(-0.296061\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 0.376435 | − | 6.02625i | 0.0170230 | − | 0.272516i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −0.202915 | + | 1.15079i | −0.00915741 | + | 0.0519343i | −0.989044 | − | 0.147621i | \(-0.952839\pi\) |
0.979887 | + | 0.199555i | \(0.0639496\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −30.7131 | + | 25.7713i | −1.38325 | + | 1.16068i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −0.622462 | + | 4.96297i | −0.0279776 | + | 0.223069i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −31.4363 | + | 5.54307i | −1.41011 | + | 0.248641i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −9.12958 | − | 25.0833i | −0.408696 | − | 1.12288i | −0.957877 | − | 0.287180i | \(-0.907282\pi\) |
0.549180 | − | 0.835704i | \(-0.314940\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 1.77838 | − | 7.36534i | 0.0794521 | − | 0.329059i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −11.9257 | + | 20.6560i | −0.531742 | + | 0.921005i | 0.467571 | + | 0.883956i | \(0.345129\pi\) |
−0.999313 | + | 0.0370494i | \(0.988204\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −1.81568 | − | 3.14486i | −0.0807969 | − | 0.139944i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −9.52832 | + | 7.03146i | −0.423168 | + | 0.312278i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 13.0480 | − | 15.5500i | 0.578343 | − | 0.689242i | −0.394978 | − | 0.918691i | \(-0.629248\pi\) |
0.973321 | + | 0.229449i | \(0.0736923\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −1.29912 | + | 3.56929i | −0.0574695 | + | 0.157896i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −4.49847 | + | 1.57330i | −0.198612 | + | 0.0694629i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −2.03112 | − | 0.739267i | −0.0895018 | − | 0.0325760i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 1.81912 | + | 1.52642i | 0.0800046 | + | 0.0671319i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −18.0622 | + | 2.03417i | −0.792841 | + | 0.0892902i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 28.4047 | − | 16.3995i | 1.24443 | − | 0.718474i | 0.274439 | − | 0.961604i | \(-0.411508\pi\) |
0.969993 | + | 0.243131i | \(0.0781745\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −30.4619 | − | 17.5872i | −1.33201 | − | 0.769034i | −0.346399 | − | 0.938087i | \(-0.612596\pi\) |
−0.985607 | + | 0.169053i | \(0.945929\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −7.32193 | − | 24.8368i | −0.319555 | − | 1.08397i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 25.4594 | − | 9.26646i | 1.10903 | − | 0.403653i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 5.56158 | + | 31.5413i | 0.241808 | + | 1.37136i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −10.8910 | + | 35.2948i | −0.472630 | + | 1.53167i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 9.73354 | + | 11.6000i | 0.421606 | + | 0.502451i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 6.97664 | + | 1.23017i | 0.301626 | + | 0.0531849i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −24.1693 | + | 36.4130i | −1.04298 | + | 1.57134i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −10.7565 | −0.463315 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −35.1137 | −1.50965 | −0.754827 | − | 0.655924i | \(-0.772279\pi\) | ||||
−0.754827 | + | 0.655924i | \(0.772279\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −2.96114 | − | 5.95849i | −0.127075 | − | 0.255703i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −14.0459 | − | 2.47668i | −0.601662 | − | 0.106089i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 9.15157 | + | 10.9064i | 0.391293 | + | 0.466324i | 0.925345 | − | 0.379127i | \(-0.123776\pi\) |
−0.534052 | + | 0.845452i | \(0.679331\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −8.75274 | + | 5.65184i | −0.373558 | + | 0.241214i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −1.40995 | − | 7.99622i | −0.0600659 | − | 0.340650i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −39.4524 | + | 14.3595i | −1.67769 | + | 0.610629i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 6.89954 | − | 7.25172i | 0.292869 | − | 0.307818i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −21.0603 | − | 12.1592i | −0.892352 | − | 0.515200i | −0.0176411 | − | 0.999844i | \(-0.505616\pi\) |
−0.874711 | + | 0.484645i | \(0.838949\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −3.59966 | + | 2.07826i | −0.152249 | + | 0.0879012i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −5.70890 | + | 13.0831i | −0.241030 | + | 0.552369i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 5.33375 | + | 4.47555i | 0.224791 | + | 0.188622i | 0.748227 | − | 0.663443i | \(-0.230906\pi\) |
−0.523436 | + | 0.852065i | \(0.675350\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −8.44578 | − | 3.07401i | −0.355317 | − | 0.129325i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −14.0251 | − | 29.1389i | −0.589000 | − | 1.22372i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 6.42509 | − | 17.6528i | 0.269354 | − | 0.740043i | −0.729098 | − | 0.684410i | \(-0.760060\pi\) |
0.998451 | − | 0.0556334i | \(-0.0177178\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 17.2113 | − | 20.5116i | 0.720269 | − | 0.858383i | −0.274388 | − | 0.961619i | \(-0.588475\pi\) |
0.994657 | + | 0.103236i | \(0.0329197\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 15.6927 | + | 6.84763i | 0.655573 | + | 0.286064i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 15.4318 | + | 26.7286i | 0.643549 | + | 1.11466i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −4.84104 | + | 8.38493i | −0.201535 | + | 0.349069i | −0.949023 | − | 0.315206i | \(-0.897926\pi\) |
0.747488 | + | 0.664275i | \(0.231260\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −13.0288 | − | 12.3961i | −0.541460 | − | 0.515164i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −20.6626 | − | 56.7699i | −0.857228 | − | 2.35521i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 4.53948 | − | 0.800433i | 0.188006 | − | 0.0331505i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −12.2267 | + | 0.608942i | −0.505512 | + | 0.0251767i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 6.78871 | − | 5.69641i | 0.280200 | − | 0.235116i | −0.491846 | − | 0.870682i | \(-0.663678\pi\) |
0.772046 | + | 0.635566i | \(0.219233\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −0.952788 | + | 5.40353i | −0.0392589 | + | 0.222648i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −19.8391 | + | 9.85927i | −0.816072 | + | 0.405556i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | − | 6.46963i | − | 0.265676i | −0.991138 | − | 0.132838i | \(-0.957591\pi\) | ||
0.991138 | − | 0.132838i | \(-0.0424090\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 14.9088i | 0.611203i | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −11.3272 | − | 7.51846i | −0.463590 | − | 0.307710i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −0.995333 | + | 5.64481i | −0.0406682 | + | 0.230641i | −0.998367 | − | 0.0571331i | \(-0.981804\pi\) |
0.957698 | + | 0.287774i | \(0.0929152\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −13.9437 | + | 11.7002i | −0.568777 | + | 0.477260i | −0.881240 | − | 0.472670i | \(-0.843290\pi\) |
0.312463 | + | 0.949930i | \(0.398846\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 1.92501 | + | 8.43803i | 0.0783923 | + | 0.343623i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 6.93706 | − | 1.22319i | 0.282032 | − | 0.0497298i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −12.4668 | − | 34.2523i | −0.506012 | − | 1.39026i | −0.885318 | − | 0.464985i | \(-0.846060\pi\) |
0.379307 | − | 0.925271i | \(-0.376163\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 52.8486 | − | 15.5799i | 2.14153 | − | 0.631328i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −2.90599 | + | 5.03331i | −0.117564 | + | 0.203626i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 9.95224 | + | 17.2378i | 0.401967 | + | 0.696228i | 0.993963 | − | 0.109713i | \(-0.0349932\pi\) |
−0.591996 | + | 0.805941i | \(0.701660\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 0.603805 | + | 5.36141i | 0.0243478 | + | 0.216193i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 10.3239 | − | 12.3036i | 0.415625 | − | 0.495323i | −0.517093 | − | 0.855929i | \(-0.672986\pi\) |
0.932718 | + | 0.360607i | \(0.117430\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −11.8156 | + | 32.4631i | −0.474909 | + | 1.30480i | 0.438855 | + | 0.898558i | \(0.355384\pi\) |
−0.913764 | + | 0.406245i | \(0.866838\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 24.4019 | + | 29.8379i | 0.979214 | + | 1.19735i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −51.2115 | − | 18.6395i | −2.05175 | − | 0.746775i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 10.0454 | + | 8.42910i | 0.401816 | + | 0.337164i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −1.71651 | − | 2.32604i | −0.0685509 | − | 0.0928932i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 24.7385 | − | 14.2828i | 0.986387 | − | 0.569491i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −26.9199 | − | 15.5422i | −1.07166 | − | 0.618725i | −0.143028 | − | 0.989719i | \(-0.545684\pi\) |
−0.928635 | + | 0.370994i | \(0.879017\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 48.4896 | + | 11.7079i | 1.92729 | + | 0.465348i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 16.6420 | − | 6.05720i | 0.660418 | − | 0.240373i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −4.57149 | − | 25.9262i | −0.181129 | − | 1.02723i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 16.0946 | − | 21.2432i | 0.636692 | − | 0.840369i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −23.7440 | − | 28.2970i | −0.937831 | − | 1.11766i | −0.992873 | − | 0.119179i | \(-0.961974\pi\) |
0.0550422 | − | 0.998484i | \(-0.482471\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −0.700721 | − | 0.123556i | −0.0276337 | − | 0.00487257i | 0.159814 | − | 0.987147i | \(-0.448910\pi\) |
−0.187448 | + | 0.982275i | \(0.560022\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −1.47808 | − | 0.0923296i | −0.0581993 | − | 0.00363547i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −33.2439 | −1.30695 | −0.653476 | − | 0.756947i | \(-0.726690\pi\) | ||||
−0.653476 | + | 0.756947i | \(0.726690\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −22.4058 | −0.879504 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −37.1601 | − | 2.32124i | −1.45642 | − | 0.0909766i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 5.33170 | + | 0.940122i | 0.208645 | + | 0.0367898i | 0.276994 | − | 0.960872i | \(-0.410662\pi\) |
−0.0683484 | + | 0.997662i | \(0.521773\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −10.3126 | − | 12.2900i | −0.402945 | − | 0.480212i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −1.23155 | − | 2.92242i | −0.0480473 | − | 0.114015i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −3.94718 | − | 22.3856i | −0.153760 | − | 0.872017i | −0.959911 | − | 0.280307i | \(-0.909564\pi\) |
0.806150 | − | 0.591711i | \(-0.201547\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 1.00411 | − | 0.365468i | 0.0390555 | − | 0.0142150i | −0.322419 | − | 0.946597i | \(-0.604496\pi\) |
0.361474 | + | 0.932382i | \(0.382274\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −33.9603 | − | 8.19978i | −1.31891 | − | 0.318453i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −2.61480 | − | 1.50966i | −0.101398 | − | 0.0585419i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −56.8740 | + | 32.8362i | −2.20217 | + | 1.27142i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 24.0987 | + | 32.6561i | 0.931708 | + | 1.26256i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −4.84145 | − | 4.06246i | −0.186902 | − | 0.156829i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −16.4390 | − | 5.98331i | −0.633677 | − | 0.230640i | 0.00515388 | − | 0.999987i | \(-0.498359\pi\) |
−0.638831 | + | 0.769347i | \(0.720582\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 18.5847 | + | 11.0450i | 0.715325 | + | 0.425120i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −0.164509 | + | 0.451985i | −0.00632259 | + | 0.0173712i | −0.942814 | − | 0.333320i | \(-0.891831\pi\) |
0.936491 | + | 0.350691i | \(0.114053\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 24.7442 | − | 29.4890i | 0.949597 | − | 1.13169i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −0.972282 | − | 8.63325i | −0.0372579 | − | 0.330827i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −20.5853 | − | 35.6548i | −0.787675 | − | 1.36429i | −0.927388 | − | 0.374101i | \(-0.877951\pi\) |
0.139713 | − | 0.990192i | \(-0.455382\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −7.37688 | + | 12.7771i | −0.281856 | + | 0.488189i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 15.9414 | − | 4.69955i | 0.608202 | − | 0.179299i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 3.85854 | + | 10.6013i | 0.146999 | + | 0.403876i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 10.6791 | − | 1.88301i | 0.406251 | − | 0.0716330i | 0.0332112 | − | 0.999448i | \(-0.489427\pi\) |
0.373040 | + | 0.927815i | \(0.378315\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 14.3812 | − | 13.3410i | 0.546297 | − | 0.506784i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −11.5797 | + | 9.71650i | −0.439242 | + | 0.368568i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −2.67371 | + | 15.1633i | −0.101274 | + | 0.574353i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 31.1619 | + | 20.6839i | 1.17865 | + | 0.782336i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 26.1415i | 0.987349i | 0.869647 | + | 0.493675i | \(0.164347\pi\) | ||||
−0.869647 | + | 0.493675i | \(0.835653\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 5.78503i | 0.218187i | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −1.85442 | + | 0.921575i | −0.0698415 | + | 0.0347085i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −2.47303 | + | 14.0252i | −0.0930077 | + | 0.527473i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 1.19849 | − | 1.00565i | 0.0450101 | − | 0.0377680i | −0.620005 | − | 0.784598i | \(-0.712869\pi\) |
0.665015 | + | 0.746830i | \(0.268425\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 15.9950 | − | 31.1915i | 0.599860 | − | 1.16977i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 43.7046 | − | 7.70630i | 1.63675 | − | 0.288603i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −2.53979 | − | 6.97802i | −0.0949828 | − | 0.260963i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −13.5606 | − | 12.9021i | −0.506432 | − | 0.481837i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −14.4301 | + | 24.9937i | −0.538153 | + | 0.932109i | 0.460850 | + | 0.887478i | \(0.347545\pi\) |
−0.999004 | + | 0.0446310i | \(0.985789\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 4.23846 | + | 7.34123i | 0.157848 | + | 0.273402i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −20.6045 | − | 8.99093i | −0.766291 | − | 0.334376i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −23.6763 | + | 28.2163i | −0.879315 | + | 1.04793i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −13.9968 | + | 38.4560i | −0.519114 | + | 1.42625i | 0.352385 | + | 0.935855i | \(0.385371\pi\) |
−0.871499 | + | 0.490398i | \(0.836851\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 25.1305 | + | 9.87200i | 0.930760 | + | 0.365630i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −3.97152 | − | 1.44552i | −0.146892 | − | 0.0534643i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 1.89373 | + | 1.58903i | 0.0699466 | + | 0.0586922i | 0.677091 | − | 0.735900i | \(-0.263240\pi\) |
−0.607144 | + | 0.794592i | \(0.707685\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 3.75141 | − | 8.59710i | 0.138373 | − | 0.317109i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −4.54661 | + | 2.62499i | −0.167477 | + | 0.0966926i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 9.69724 | + | 5.59870i | 0.356719 | + | 0.205952i | 0.667640 | − | 0.744484i | \(-0.267304\pi\) |
−0.310922 | + | 0.950436i | \(0.600638\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 4.87691 | − | 5.12585i | 0.179158 | − | 0.188303i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 41.9122 | − | 15.2548i | 1.53761 | − | 0.559645i | 0.572140 | − | 0.820156i | \(-0.306113\pi\) |
0.965471 | + | 0.260511i | \(0.0838911\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −1.08258 | − | 6.13964i | −0.0396628 | − | 0.224939i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 44.8829 | + | 23.0160i | 1.64218 | + | 0.842111i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −17.8587 | − | 21.2832i | −0.652544 | − | 0.777671i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 11.5655 | + | 2.03931i | 0.422032 | + | 0.0744156i | 0.380631 | − | 0.924727i | \(-0.375707\pi\) |
0.0414009 | + | 0.999143i | \(0.486818\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 14.4368 | + | 29.0502i | 0.526107 | + | 1.05865i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −13.6545 | −0.496937 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 5.35502 | 0.194632 | 0.0973158 | − | 0.995254i | \(-0.468974\pi\) | ||||
0.0973158 | + | 0.995254i | \(0.468974\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −12.9304 | + | 19.4807i | −0.469344 | + | 0.707105i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 13.3535 | + | 2.35458i | 0.484064 | + | 0.0853536i | 0.410354 | − | 0.911926i | \(-0.365405\pi\) |
0.0737099 | + | 0.997280i | \(0.476516\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 35.9547 | + | 42.8491i | 1.30165 | + | 1.55124i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −8.46562 | − | 9.12566i | −0.306075 | − | 0.329939i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −9.52242 | − | 54.0043i | −0.343835 | − | 1.94998i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −16.2757 | + | 5.92388i | −0.586917 | + | 0.213620i | −0.618373 | − | 0.785885i | \(-0.712208\pi\) |
0.0314556 | + | 0.999505i | \(0.489986\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −14.2816 | − | 48.4449i | −0.514341 | − | 1.74470i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −43.8577 | − | 25.3213i | −1.57745 | − | 0.910743i | −0.995213 | − | 0.0977249i | \(-0.968843\pi\) |
−0.582239 | − | 0.813018i | \(-0.697823\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 21.5561 | − | 12.4454i | 0.774316 | − | 0.447052i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −39.0091 | + | 4.39323i | −1.39944 | + | 0.157606i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −2.38870 | − | 2.00436i | −0.0855840 | − | 0.0718135i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 15.1918 | + | 5.52936i | 0.543605 | + | 0.197856i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −23.5018 | + | 39.5452i | −0.839887 | + | 1.41323i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 3.59581 | − | 9.87940i | 0.128340 | − | 0.352611i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −3.42817 | + | 4.08553i | −0.122201 | + | 0.145634i | −0.823676 | − | 0.567060i | \(-0.808081\pi\) |
0.701475 | + | 0.712694i | \(0.252525\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −12.2631 | + | 9.04961i | −0.436579 | + | 0.322175i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 17.6243 | + | 30.5262i | 0.626649 | + | 1.08539i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 7.73407 | − | 13.3958i | 0.274645 | − | 0.475699i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −0.943434 | + | 3.90733i | −0.0334601 | + | 0.138579i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 7.46871 | + | 20.5201i | 0.264555 | + | 0.726860i | 0.998846 | + | 0.0480248i | \(0.0152927\pi\) |
−0.734291 | + | 0.678835i | \(0.762485\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −5.81990 | + | 1.02620i | −0.205893 | + | 0.0363045i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 41.9304 | − | 17.6700i | 1.48154 | − | 0.624340i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 1.47365 | − | 1.23654i | 0.0520038 | − | 0.0436364i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −4.24061 | + | 24.0497i | −0.149462 | + | 0.847640i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 2.16982 | − | 34.7361i | 0.0763813 | − | 1.22277i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | − | 35.0378i | − | 1.23186i | −0.787799 | − | 0.615932i | \(-0.788779\pi\) | ||
0.787799 | − | 0.615932i | \(-0.211221\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 27.1844i | − | 0.954573i | −0.878748 | − | 0.477287i | \(-0.841620\pi\) | ||
0.878748 | − | 0.477287i | \(-0.158380\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −0.987230 | + | 15.8043i | −0.0346237 | + | 0.554281i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −0.554615 | + | 3.14538i | −0.0194273 | + | 0.110178i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 0.655675 | − | 0.550177i | 0.0229392 | − | 0.0192483i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 38.2677 | + | 28.9929i | 1.33718 | + | 1.01309i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −6.62706 | + | 1.16853i | −0.231286 | + | 0.0407820i | −0.288090 | − | 0.957603i | \(-0.593020\pi\) |
0.0568037 | + | 0.998385i | \(0.481909\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 0.0376566 | + | 0.103461i | 0.00131263 | + | 0.00360641i | 0.940347 | − | 0.340216i | \(-0.110500\pi\) |
−0.939035 | + | 0.343823i | \(0.888278\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −3.07795 | + | 12.7477i | −0.107161 | + | 0.443817i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −10.7113 | + | 18.5526i | −0.372470 | + | 0.645137i | −0.989945 | − | 0.141454i | \(-0.954822\pi\) |
0.617475 | + | 0.786590i | \(0.288156\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 7.92370 | + | 13.7242i | 0.275201 | + | 0.476663i | 0.970186 | − | 0.242362i | \(-0.0779221\pi\) |
−0.694985 | + | 0.719025i | \(0.744589\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −20.3771 | + | 15.0373i | −0.706873 | + | 0.521640i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 17.2066 | − | 20.5060i | 0.596173 | − | 0.710492i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −1.37081 | + | 3.76627i | −0.0474389 | + | 0.130337i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 24.0636 | − | 19.6796i | 0.831761 | − | 0.680227i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −4.96451 | − | 1.80693i | −0.171394 | − | 0.0623822i | 0.254898 | − | 0.966968i | \(-0.417958\pi\) |
−0.426292 | + | 0.904586i | \(0.640180\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −37.8243 | − | 31.7384i | −1.30429 | − | 1.09443i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −7.57502 | + | 0.853104i | −0.260898 | + | 0.0293825i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 5.42476 | − | 3.13198i | 0.186617 | − | 0.107744i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −23.9245 | − | 13.8128i | −0.822056 | − | 0.474614i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 6.21863 | + | 21.0943i | 0.213423 | + | 0.723953i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 43.9685 | − | 16.0032i | 1.50722 | − | 0.548584i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 0.220692 | + | 1.25161i | 0.00755634 | + | 0.0428541i | 0.988353 | − | 0.152180i | \(-0.0486293\pi\) |
−0.980796 | + | 0.195034i | \(0.937518\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 2.45773 | − | 0.560694i | 0.0840527 | − | 0.0191753i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −15.6352 | − | 18.6333i | −0.534087 | − | 0.636500i | 0.429764 | − | 0.902941i | \(-0.358597\pi\) |
−0.963851 | + | 0.266441i | \(0.914152\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −7.06237 | − | 1.24529i | −0.240965 | − | 0.0424887i | 0.0518612 | − | 0.998654i | \(-0.483485\pi\) |
−0.292826 | + | 0.956166i | \(0.594596\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 11.7016 | − | 17.6294i | 0.398789 | − | 0.600808i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 38.1184 | 1.29757 | 0.648783 | − | 0.760973i | \(-0.275278\pi\) | ||||
0.648783 | + | 0.760973i | \(0.275278\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 9.61469 | 0.326909 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −2.70520 | − | 5.44348i | −0.0918734 | − | 0.184870i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 20.9403 | + | 3.69233i | 0.710350 | + | 0.125254i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −8.25927 | − | 9.84301i | −0.279855 | − | 0.333518i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 1.59874 | + | 32.1005i | 0.0541093 | + | 1.08644i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 5.23673 | + | 29.6990i | 0.177034 | + | 1.00401i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −4.23247 | + | 1.54049i | −0.142921 | + | 0.0520188i | −0.412490 | − | 0.910962i | \(-0.635341\pi\) |
0.269569 | + | 0.962981i | \(0.413119\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 25.3510 | − | 26.6450i | 0.855069 | − | 0.898715i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −20.5813 | − | 11.8826i | −0.693401 | − | 0.400335i | 0.111484 | − | 0.993766i | \(-0.464440\pi\) |
−0.804885 | + | 0.593431i | \(0.797773\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −4.93969 | + | 2.85193i | −0.166234 | + | 0.0959751i | −0.580809 | − | 0.814040i | \(-0.697264\pi\) |
0.414575 | + | 0.910015i | \(0.363930\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 7.81419 | − | 17.9078i | 0.262671 | − | 0.601964i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −1.84014 | − | 1.54406i | −0.0617857 | − | 0.0518444i | 0.611372 | − | 0.791343i | \(-0.290618\pi\) |
−0.673158 | + | 0.739499i | \(0.735062\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −65.2671 | − | 23.7553i | −2.18899 | − | 0.796726i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −1.22731 | + | 16.3320i | −0.0411165 | + | 0.547143i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 0.409335 | − | 1.12464i | 0.0136979 | − | 0.0376346i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 14.8600 | − | 17.7095i | 0.496716 | − | 0.591963i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −52.4495 | − | 22.8867i | −1.75124 | − | 0.764165i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 26.4817 | + | 45.8677i | 0.883216 | + | 1.52977i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −5.73564 | + | 9.93442i | −0.191082 | + | 0.330963i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 4.20783 | + | 4.00348i | 0.140028 | + | 0.133227i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 1.20377 | + | 3.30734i | 0.0400147 | + | 0.109940i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 45.9266 | − | 8.09809i | 1.52497 | − | 0.268893i | 0.652584 | − | 0.757717i | \(-0.273685\pi\) |
0.872382 | + | 0.488824i | \(0.162574\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −6.45015 | − | 9.98905i | −0.213938 | − | 0.331316i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −27.6584 | + | 23.2082i | −0.916365 | + | 0.768922i | −0.973319 | − | 0.229455i | \(-0.926306\pi\) |
0.0569539 | + | 0.998377i | \(0.481861\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −5.31307 | + | 30.1319i | −0.175837 | + | 0.997221i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 4.93540 | − | 2.45271i | 0.163159 | − | 0.0810840i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 62.9199i | 2.07780i | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | − | 23.9024i | − | 0.788468i | −0.919010 | − | 0.394234i | \(-0.871010\pi\) | ||
0.919010 | − | 0.394234i | \(-0.128990\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −2.07809 | − | 1.37934i | −0.0684755 | − | 0.0454509i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −6.87085 | + | 38.9665i | −0.226157 | + | 1.28260i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 20.1035 | − | 16.8689i | 0.661000 | − | 0.554645i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −6.76288 | − | 2.08684i | −0.222122 | − | 0.0685408i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 11.3439 | − | 2.00024i | 0.372181 | − | 0.0656256i | 0.0155709 | − | 0.999879i | \(-0.495043\pi\) |
0.356611 | + | 0.934253i | \(0.383932\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 1.85414 | + | 5.09421i | 0.0607671 | + | 0.166956i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 14.7187 | − | 4.33909i | 0.481867 | − | 0.142055i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 3.77535 | − | 6.53909i | 0.123467 | − | 0.213851i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −17.1278 | − | 29.6661i | −0.559539 | − | 0.969150i | −0.997535 | − | 0.0701733i | \(-0.977645\pi\) |
0.437996 | − | 0.898977i | \(-0.355689\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 6.01426 | + | 53.4028i | 0.196268 | + | 1.74274i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −16.8452 | + | 20.0754i | −0.549139 | + | 0.654439i | −0.967211 | − | 0.253975i | \(-0.918262\pi\) |
0.418071 | + | 0.908414i | \(0.362706\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −8.62599 | + | 23.6997i | −0.280901 | + | 0.771769i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 5.64725 | + | 16.1469i | 0.183705 | + | 0.525260i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −7.77710 | − | 2.83063i | −0.252722 | − | 0.0919832i | 0.212553 | − | 0.977150i | \(-0.431822\pi\) |
−0.465275 | + | 0.885166i | \(0.654044\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 3.60670 | + | 3.02638i | 0.117078 | + | 0.0982405i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −1.68590 | − | 2.28456i | −0.0546690 | − | 0.0740819i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 25.1053 | − | 14.4946i | 0.813241 | − | 0.469525i | −0.0348391 | − | 0.999393i | \(-0.511092\pi\) |
0.848080 | + | 0.529868i | \(0.177759\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −7.84341 | − | 4.52840i | −0.253807 | − | 0.146535i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −27.1249 | − | 6.54938i | −0.876824 | − | 0.211711i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 54.3722 | − | 19.7899i | 1.75577 | − | 0.639048i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −0.831882 | − | 4.71784i | −0.0268349 | − | 0.152188i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 23.0164 | + | 2.88675i | 0.741694 | + | 0.0930241i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 6.11470 | + | 7.28721i | 0.196839 | + | 0.234584i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 37.9337 | + | 6.68873i | 1.21986 | + | 0.215095i | 0.746267 | − | 0.665646i | \(-0.231844\pi\) |
0.473597 | + | 0.880741i | \(0.342955\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 7.18015 | + | 0.448515i | 0.230660 | + | 0.0144084i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 36.9077 | 1.18442 | 0.592212 | − | 0.805783i | \(-0.298255\pi\) | ||||
0.592212 | + | 0.805783i | \(0.298255\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 59.2830 | 1.90053 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −32.0336 | − | 2.00101i | −1.02590 | − | 0.0640836i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −43.6838 | − | 7.70263i | −1.39757 | − | 0.246429i | −0.576424 | − | 0.817151i | \(-0.695552\pi\) |
−0.821144 | + | 0.570722i | \(0.806663\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 17.7416 | + | 21.1436i | 0.567023 | + | 0.675752i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −46.3385 | − | 5.81184i | −1.47948 | − | 0.185558i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −6.09294 | − | 34.5548i | −0.194335 | − | 1.10213i | −0.913363 | − | 0.407146i | \(-0.866524\pi\) |
0.719028 | − | 0.694981i | \(-0.244587\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 11.0120 | − | 4.00802i | 0.350870 | − | 0.127706i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 7.89442 | + | 1.90613i | 0.251282 | + | 0.0606727i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −5.99536 | − | 3.46142i | −0.190641 | − | 0.110067i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 5.19698 | − | 3.00048i | 0.165088 | − | 0.0953134i | −0.415180 | − | 0.909739i | \(-0.636281\pi\) |
0.580267 | + | 0.814426i | \(0.302948\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 6.67924 | + | 9.05103i | 0.211959 | + | 0.287226i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 5.50898 | + | 4.62258i | 0.174646 | + | 0.146546i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 51.5630 | + | 18.7674i | 1.63302 | + | 0.594369i | 0.985798 | − | 0.167936i | \(-0.0537103\pi\) |
0.647218 | + | 0.762305i | \(0.275933\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 21.3828 | − | 24.8394i | 0.676520 | − | 0.785885i |
(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 | 432.2.be.a.239.1 | yes | 36 | |
4.3 | odd | 2 | inner | 432.2.be.a.239.6 | yes | 36 | |
27.20 | odd | 18 | inner | 432.2.be.a.47.6 | yes | 36 | |
108.47 | even | 18 | inner | 432.2.be.a.47.1 | ✓ | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
432.2.be.a.47.1 | ✓ | 36 | 108.47 | even | 18 | inner | |
432.2.be.a.47.6 | yes | 36 | 27.20 | odd | 18 | inner | |
432.2.be.a.239.1 | yes | 36 | 1.1 | even | 1 | trivial | |
432.2.be.a.239.6 | yes | 36 | 4.3 | odd | 2 | inner |