Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [585,2,Mod(196,585)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(585, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4, 0, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("585.196");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 585 = 3^{2} \cdot 5 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 585.i (of order \(3\), degree \(2\), 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: | \(4.67124851824\) |
Analytic rank: | \(0\) |
Dimension: | \(30\) |
Relative dimension: | \(15\) over \(\Q(\zeta_{3})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 196.12 | ||
Character | \(\chi\) | \(=\) | 585.196 |
Dual form | 585.2.i.h.391.12 |
$q$-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 \(\left(\mathbb{Z}/585\mathbb{Z}\right)^\times\).
\(n\) | \(326\) | \(352\) | \(496\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.909537 | − | 1.57536i | 0.643140 | − | 1.11395i | −0.341588 | − | 0.939850i | \(-0.610965\pi\) |
0.984728 | − | 0.174101i | \(-0.0557019\pi\) | |||||||
\(3\) | 1.33257 | + | 1.10646i | 0.769360 | + | 0.638816i | ||||
\(4\) | −0.654515 | − | 1.13365i | −0.327258 | − | 0.566827i | ||||
\(5\) | 0.500000 | + | 0.866025i | 0.223607 | + | 0.387298i | ||||
\(6\) | 2.95510 | − | 1.09292i | 1.20642 | − | 0.446181i | ||||
\(7\) | −1.45386 | + | 2.51816i | −0.549508 | + | 0.951777i | 0.448800 | + | 0.893632i | \(0.351852\pi\) |
−0.998308 | + | 0.0581442i | \(0.981482\pi\) | |||||||
\(8\) | 1.25693 | 0.444390 | ||||||||
\(9\) | 0.551488 | + | 2.94887i | 0.183829 | + | 0.982958i | ||||
\(10\) | 1.81907 | 0.575242 | ||||||||
\(11\) | −1.59030 | + | 2.75449i | −0.479495 | + | 0.830509i | −0.999723 | − | 0.0235177i | \(-0.992513\pi\) |
0.520229 | + | 0.854027i | \(0.325847\pi\) | |||||||
\(12\) | 0.382156 | − | 2.23487i | 0.110319 | − | 0.645151i | ||||
\(13\) | −0.500000 | − | 0.866025i | −0.138675 | − | 0.240192i | ||||
\(14\) | 2.64468 | + | 4.58073i | 0.706821 | + | 1.22425i | ||||
\(15\) | −0.291938 | + | 1.70727i | −0.0753781 | + | 0.440815i | ||||
\(16\) | 2.45225 | − | 4.24742i | 0.613063 | − | 1.06186i | ||||
\(17\) | −1.97843 | −0.479840 | −0.239920 | − | 0.970793i | \(-0.577121\pi\) | ||||
−0.239920 | + | 0.970793i | \(0.577121\pi\) | |||||||
\(18\) | 5.14715 | + | 1.81332i | 1.21319 | + | 0.427403i | ||||
\(19\) | 6.13227 | 1.40684 | 0.703419 | − | 0.710775i | \(-0.251656\pi\) | ||||
0.703419 | + | 0.710775i | \(0.251656\pi\) | |||||||
\(20\) | 0.654515 | − | 1.13365i | 0.146354 | − | 0.253493i | ||||
\(21\) | −4.72362 | + | 1.74699i | −1.03078 | + | 0.381224i | ||||
\(22\) | 2.89288 | + | 5.01062i | 0.616764 | + | 1.06827i | ||||
\(23\) | −2.79077 | − | 4.83376i | −0.581916 | − | 1.00791i | −0.995252 | − | 0.0973293i | \(-0.968970\pi\) |
0.413336 | − | 0.910578i | \(-0.364363\pi\) | |||||||
\(24\) | 1.67494 | + | 1.39074i | 0.341896 | + | 0.283883i | ||||
\(25\) | −0.500000 | + | 0.866025i | −0.100000 | + | 0.173205i | ||||
\(26\) | −1.81907 | −0.356750 | ||||||||
\(27\) | −2.52792 | + | 4.53978i | −0.486498 | + | 0.873682i | ||||
\(28\) | 3.80630 | 0.719323 | ||||||||
\(29\) | 1.83351 | − | 3.17573i | 0.340474 | − | 0.589718i | −0.644047 | − | 0.764986i | \(-0.722746\pi\) |
0.984521 | + | 0.175268i | \(0.0560792\pi\) | |||||||
\(30\) | 2.42404 | + | 2.01273i | 0.442568 | + | 0.367473i | ||||
\(31\) | −4.09477 | − | 7.09235i | −0.735443 | − | 1.27382i | −0.954529 | − | 0.298119i | \(-0.903641\pi\) |
0.219086 | − | 0.975706i | \(-0.429692\pi\) | |||||||
\(32\) | −3.20390 | − | 5.54932i | −0.566375 | − | 0.980990i | ||||
\(33\) | −5.16693 | + | 1.91094i | −0.899446 | + | 0.332652i | ||||
\(34\) | −1.79945 | + | 3.11675i | −0.308604 | + | 0.534518i | ||||
\(35\) | −2.90773 | −0.491495 | ||||||||
\(36\) | 2.98204 | − | 2.55528i | 0.497007 | − | 0.425880i | ||||
\(37\) | 8.77322 | 1.44231 | 0.721155 | − | 0.692774i | \(-0.243612\pi\) | ||||
0.721155 | + | 0.692774i | \(0.243612\pi\) | |||||||
\(38\) | 5.57752 | − | 9.66055i | 0.904794 | − | 1.56715i | ||||
\(39\) | 0.291938 | − | 1.70727i | 0.0467475 | − | 0.273382i | ||||
\(40\) | 0.628463 | + | 1.08853i | 0.0993687 | + | 0.172112i | ||||
\(41\) | −1.03484 | − | 1.79239i | −0.161615 | − | 0.279925i | 0.773833 | − | 0.633389i | \(-0.218337\pi\) |
−0.935448 | + | 0.353465i | \(0.885004\pi\) | |||||||
\(42\) | −1.54417 | + | 9.03038i | −0.238270 | + | 1.39342i | ||||
\(43\) | −0.928705 | + | 1.60856i | −0.141626 | + | 0.245304i | −0.928109 | − | 0.372308i | \(-0.878566\pi\) |
0.786483 | + | 0.617612i | \(0.211900\pi\) | |||||||
\(44\) | 4.16351 | 0.627673 | ||||||||
\(45\) | −2.27806 | + | 1.95204i | −0.339593 | + | 0.290993i | ||||
\(46\) | −10.1532 | −1.49701 | ||||||||
\(47\) | 4.03187 | − | 6.98341i | 0.588109 | − | 1.01864i | −0.406371 | − | 0.913708i | \(-0.633206\pi\) |
0.994480 | − | 0.104927i | \(-0.0334609\pi\) | |||||||
\(48\) | 7.96740 | − | 2.94667i | 1.15000 | − | 0.425315i | ||||
\(49\) | −0.727433 | − | 1.25995i | −0.103919 | − | 0.179993i | ||||
\(50\) | 0.909537 | + | 1.57536i | 0.128628 | + | 0.222790i | ||||
\(51\) | −2.63640 | − | 2.18905i | −0.369169 | − | 0.306529i | ||||
\(52\) | −0.654515 | + | 1.13365i | −0.0907649 | + | 0.157209i | ||||
\(53\) | 3.09517 | 0.425154 | 0.212577 | − | 0.977144i | \(-0.431814\pi\) | ||||
0.212577 | + | 0.977144i | \(0.431814\pi\) | |||||||
\(54\) | 4.85258 | + | 8.11149i | 0.660352 | + | 1.10383i | ||||
\(55\) | −3.18061 | −0.428873 | ||||||||
\(56\) | −1.82740 | + | 3.16514i | −0.244196 | + | 0.422960i | ||||
\(57\) | 8.17168 | + | 6.78511i | 1.08236 | + | 0.898710i | ||||
\(58\) | −3.33529 | − | 5.77689i | −0.437945 | − | 0.758542i | ||||
\(59\) | −2.01856 | − | 3.49624i | −0.262794 | − | 0.455172i | 0.704189 | − | 0.710012i | \(-0.251311\pi\) |
−0.966983 | + | 0.254840i | \(0.917977\pi\) | |||||||
\(60\) | 2.12653 | − | 0.786478i | 0.274534 | − | 0.101534i | ||||
\(61\) | 1.50866 | − | 2.61308i | 0.193164 | − | 0.334570i | −0.753133 | − | 0.657868i | \(-0.771458\pi\) |
0.946297 | + | 0.323298i | \(0.104792\pi\) | |||||||
\(62\) | −14.8974 | −1.89197 | ||||||||
\(63\) | −8.22754 | − | 2.89852i | −1.03657 | − | 0.365179i | ||||
\(64\) | −1.84726 | −0.230907 | ||||||||
\(65\) | 0.500000 | − | 0.866025i | 0.0620174 | − | 0.107417i | ||||
\(66\) | −1.68908 | + | 9.87786i | −0.207912 | + | 1.21588i | ||||
\(67\) | −2.84693 | − | 4.93103i | −0.347808 | − | 0.602421i | 0.638052 | − | 0.769993i | \(-0.279741\pi\) |
−0.985860 | + | 0.167572i | \(0.946407\pi\) | |||||||
\(68\) | 1.29491 | + | 2.24285i | 0.157031 | + | 0.271986i | ||||
\(69\) | 1.62946 | − | 9.52920i | 0.196164 | − | 1.14718i | ||||
\(70\) | −2.64468 | + | 4.58073i | −0.316100 | + | 0.547502i | ||||
\(71\) | 0.716107 | 0.0849862 | 0.0424931 | − | 0.999097i | \(-0.486470\pi\) | ||||
0.0424931 | + | 0.999097i | \(0.486470\pi\) | |||||||
\(72\) | 0.693179 | + | 3.70651i | 0.0816919 | + | 0.436817i | ||||
\(73\) | 1.12563 | 0.131745 | 0.0658727 | − | 0.997828i | \(-0.479017\pi\) | ||||
0.0658727 | + | 0.997828i | \(0.479017\pi\) | |||||||
\(74\) | 7.97957 | − | 13.8210i | 0.927606 | − | 1.60666i | ||||
\(75\) | −1.62451 | + | 0.600809i | −0.187582 | + | 0.0693755i | ||||
\(76\) | −4.01366 | − | 6.95186i | −0.460398 | − | 0.797433i | ||||
\(77\) | −4.62417 | − | 8.00929i | −0.526973 | − | 0.912744i | ||||
\(78\) | −2.42404 | − | 2.01273i | −0.274469 | − | 0.227897i | ||||
\(79\) | −7.28558 | + | 12.6190i | −0.819692 | + | 1.41975i | 0.0862169 | + | 0.996276i | \(0.472522\pi\) |
−0.905909 | + | 0.423472i | \(0.860811\pi\) | |||||||
\(80\) | 4.90450 | 0.548340 | ||||||||
\(81\) | −8.39172 | + | 3.25254i | −0.932414 | + | 0.361393i | ||||
\(82\) | −3.76490 | −0.415763 | ||||||||
\(83\) | −0.0540476 | + | 0.0936133i | −0.00593250 | + | 0.0102754i | −0.868976 | − | 0.494854i | \(-0.835222\pi\) |
0.863044 | + | 0.505129i | \(0.168555\pi\) | |||||||
\(84\) | 5.07216 | + | 4.21152i | 0.553418 | + | 0.459515i | ||||
\(85\) | −0.989215 | − | 1.71337i | −0.107295 | − | 0.185841i | ||||
\(86\) | 1.68938 | + | 2.92610i | 0.182171 | + | 0.315529i | ||||
\(87\) | 5.95710 | − | 2.20318i | 0.638668 | − | 0.236205i | ||||
\(88\) | −1.99889 | + | 3.46219i | −0.213083 | + | 0.369070i | ||||
\(89\) | −2.32728 | −0.246691 | −0.123345 | − | 0.992364i | \(-0.539362\pi\) | ||||
−0.123345 | + | 0.992364i | \(0.539362\pi\) | |||||||
\(90\) | 1.00320 | + | 5.36422i | 0.105746 | + | 0.565439i | ||||
\(91\) | 2.90773 | 0.304812 | ||||||||
\(92\) | −3.65320 | + | 6.32753i | −0.380873 | + | 0.659691i | ||||
\(93\) | 2.39084 | − | 13.9818i | 0.247919 | − | 1.44984i | ||||
\(94\) | −7.33428 | − | 12.7033i | −0.756473 | − | 1.31025i | ||||
\(95\) | 3.06613 | + | 5.31070i | 0.314579 | + | 0.544866i | ||||
\(96\) | 1.87068 | − | 10.9398i | 0.190926 | − | 1.11654i | ||||
\(97\) | −6.46887 | + | 11.2044i | −0.656814 | + | 1.13763i | 0.324622 | + | 0.945844i | \(0.394763\pi\) |
−0.981436 | + | 0.191791i | \(0.938570\pi\) | |||||||
\(98\) | −2.64651 | −0.267338 | ||||||||
\(99\) | −8.99967 | − | 3.17054i | −0.904501 | − | 0.318651i | ||||
\(100\) | 1.30903 | 0.130903 | ||||||||
\(101\) | 6.36352 | − | 11.0219i | 0.633194 | − | 1.09672i | −0.353701 | − | 0.935359i | \(-0.615077\pi\) |
0.986895 | − | 0.161365i | \(-0.0515897\pi\) | |||||||
\(102\) | −5.84646 | + | 2.16226i | −0.578886 | + | 0.214095i | ||||
\(103\) | 5.19805 | + | 9.00329i | 0.512179 | + | 0.887121i | 0.999900 | + | 0.0141211i | \(0.00449504\pi\) |
−0.487721 | + | 0.873000i | \(0.662172\pi\) | |||||||
\(104\) | −0.628463 | − | 1.08853i | −0.0616258 | − | 0.106739i | ||||
\(105\) | −3.87475 | − | 3.21728i | −0.378137 | − | 0.313975i | ||||
\(106\) | 2.81517 | − | 4.87601i | 0.273433 | − | 0.473600i | ||||
\(107\) | −18.2669 | −1.76593 | −0.882965 | − | 0.469439i | \(-0.844456\pi\) | ||||
−0.882965 | + | 0.469439i | \(0.844456\pi\) | |||||||
\(108\) | 6.80110 | − | 0.105573i | 0.654436 | − | 0.0101588i | ||||
\(109\) | 15.8134 | 1.51465 | 0.757326 | − | 0.653036i | \(-0.226505\pi\) | ||||
0.757326 | + | 0.653036i | \(0.226505\pi\) | |||||||
\(110\) | −2.89288 | + | 5.01062i | −0.275825 | + | 0.477744i | ||||
\(111\) | 11.6909 | + | 9.70723i | 1.10965 | + | 0.921370i | ||||
\(112\) | 7.13047 | + | 12.3503i | 0.673766 | + | 1.16700i | ||||
\(113\) | −8.02121 | − | 13.8931i | −0.754572 | − | 1.30696i | −0.945587 | − | 0.325370i | \(-0.894511\pi\) |
0.191015 | − | 0.981587i | \(-0.438822\pi\) | |||||||
\(114\) | 18.1215 | − | 6.70206i | 1.69723 | − | 0.627705i | ||||
\(115\) | 2.79077 | − | 4.83376i | 0.260241 | − | 0.450750i | ||||
\(116\) | −4.80024 | −0.445691 | ||||||||
\(117\) | 2.27806 | − | 1.95204i | 0.210606 | − | 0.180466i | ||||
\(118\) | −7.34381 | −0.676053 | ||||||||
\(119\) | 2.87636 | − | 4.98201i | 0.263676 | − | 0.456700i | ||||
\(120\) | −0.366944 | + | 2.14591i | −0.0334973 | + | 0.195894i | ||||
\(121\) | 0.441865 | + | 0.765332i | 0.0401695 | + | 0.0695757i | ||||
\(122\) | −2.74436 | − | 4.75338i | −0.248463 | − | 0.430351i | ||||
\(123\) | 0.604218 | − | 3.53350i | 0.0544805 | − | 0.318605i | ||||
\(124\) | −5.36018 | + | 9.28411i | −0.481358 | + | 0.833737i | ||||
\(125\) | −1.00000 | −0.0894427 | ||||||||
\(126\) | −12.0495 | + | 10.3251i | −1.07345 | + | 0.919829i | ||||
\(127\) | −20.0387 | −1.77814 | −0.889072 | − | 0.457768i | \(-0.848649\pi\) | ||||
−0.889072 | + | 0.457768i | \(0.848649\pi\) | |||||||
\(128\) | 4.72765 | − | 8.18853i | 0.417869 | − | 0.723770i | ||||
\(129\) | −3.01738 | + | 1.11595i | −0.265665 | + | 0.0982538i | ||||
\(130\) | −0.909537 | − | 1.57536i | −0.0797717 | − | 0.138169i | ||||
\(131\) | 1.17947 | + | 2.04290i | 0.103051 | + | 0.178489i | 0.912940 | − | 0.408094i | \(-0.133806\pi\) |
−0.809889 | + | 0.586583i | \(0.800473\pi\) | |||||||
\(132\) | 5.54817 | + | 4.60676i | 0.482907 | + | 0.400967i | ||||
\(133\) | −8.91547 | + | 15.4421i | −0.773069 | + | 1.33900i | ||||
\(134\) | −10.3576 | −0.894756 | ||||||||
\(135\) | −5.19553 | + | 0.0806501i | −0.447160 | + | 0.00694125i | ||||
\(136\) | −2.48674 | −0.213236 | ||||||||
\(137\) | −2.63619 | + | 4.56601i | −0.225225 | + | 0.390101i | −0.956387 | − | 0.292103i | \(-0.905645\pi\) |
0.731162 | + | 0.682204i | \(0.238978\pi\) | |||||||
\(138\) | −13.5299 | − | 11.2342i | −1.15174 | − | 0.956315i | ||||
\(139\) | 9.48703 | + | 16.4320i | 0.804680 | + | 1.39375i | 0.916507 | + | 0.400018i | \(0.130996\pi\) |
−0.111827 | + | 0.993728i | \(0.535670\pi\) | |||||||
\(140\) | 1.90315 | + | 3.29635i | 0.160846 | + | 0.278593i | ||||
\(141\) | 13.0996 | − | 4.84478i | 1.10319 | − | 0.408004i | ||||
\(142\) | 0.651325 | − | 1.12813i | 0.0546580 | − | 0.0946705i | ||||
\(143\) | 3.18061 | 0.265976 | ||||||||
\(144\) | 13.8775 | + | 4.88898i | 1.15646 | + | 0.407415i | ||||
\(145\) | 3.66702 | 0.304529 | ||||||||
\(146\) | 1.02381 | − | 1.77328i | 0.0847307 | − | 0.146758i | ||||
\(147\) | 0.424731 | − | 2.48385i | 0.0350312 | − | 0.204865i | ||||
\(148\) | −5.74221 | − | 9.94580i | −0.472007 | − | 0.817539i | ||||
\(149\) | 7.43448 | + | 12.8769i | 0.609056 | + | 1.05492i | 0.991396 | + | 0.130895i | \(0.0417850\pi\) |
−0.382340 | + | 0.924022i | \(0.624882\pi\) | |||||||
\(150\) | −0.531057 | + | 3.10565i | −0.0433606 | + | 0.253575i | ||||
\(151\) | 5.78021 | − | 10.0116i | 0.470387 | − | 0.814734i | −0.529040 | − | 0.848597i | \(-0.677448\pi\) |
0.999426 | + | 0.0338632i | \(0.0107810\pi\) | |||||||
\(152\) | 7.70780 | 0.625185 | ||||||||
\(153\) | −1.09108 | − | 5.83414i | −0.0882086 | − | 0.471662i | ||||
\(154\) | −16.8234 | −1.35567 | ||||||||
\(155\) | 4.09477 | − | 7.09235i | 0.328900 | − | 0.569672i | ||||
\(156\) | −2.12653 | + | 0.786478i | −0.170259 | + | 0.0629686i | ||||
\(157\) | 5.53134 | + | 9.58056i | 0.441449 | + | 0.764612i | 0.997797 | − | 0.0663372i | \(-0.0211313\pi\) |
−0.556348 | + | 0.830949i | \(0.687798\pi\) | |||||||
\(158\) | 13.2530 | + | 22.9549i | 1.05435 | + | 1.82619i | ||||
\(159\) | 4.12453 | + | 3.42468i | 0.327096 | + | 0.271595i | ||||
\(160\) | 3.20390 | − | 5.54932i | 0.253290 | − | 0.438712i | ||||
\(161\) | 16.2296 | 1.27907 | ||||||||
\(162\) | −2.50865 | + | 16.1783i | −0.197098 | + | 1.27109i | ||||
\(163\) | −9.81467 | −0.768745 | −0.384372 | − | 0.923178i | \(-0.625582\pi\) | ||||
−0.384372 | + | 0.923178i | \(0.625582\pi\) | |||||||
\(164\) | −1.35464 | + | 2.34630i | −0.105779 | + | 0.183215i | ||||
\(165\) | −4.23838 | − | 3.51922i | −0.329958 | − | 0.273971i | ||||
\(166\) | 0.0983167 | + | 0.170289i | 0.00763085 | + | 0.0132170i | ||||
\(167\) | −2.25236 | − | 3.90120i | −0.174293 | − | 0.301884i | 0.765624 | − | 0.643289i | \(-0.222431\pi\) |
−0.939916 | + | 0.341405i | \(0.889097\pi\) | |||||||
\(168\) | −5.93724 | + | 2.19583i | −0.458068 | + | 0.169412i | ||||
\(169\) | −0.500000 | + | 0.866025i | −0.0384615 | + | 0.0666173i | ||||
\(170\) | −3.59891 | −0.276024 | ||||||||
\(171\) | 3.38187 | + | 18.0833i | 0.258618 | + | 1.38286i | ||||
\(172\) | 2.43141 | 0.185393 | ||||||||
\(173\) | −11.6012 | + | 20.0939i | −0.882024 | + | 1.52771i | −0.0329360 | + | 0.999457i | \(0.510486\pi\) |
−0.849088 | + | 0.528252i | \(0.822848\pi\) | |||||||
\(174\) | 1.94740 | − | 11.3885i | 0.147632 | − | 0.863358i | ||||
\(175\) | −1.45386 | − | 2.51816i | −0.109902 | − | 0.190355i | ||||
\(176\) | 7.79965 | + | 13.5094i | 0.587921 | + | 1.01831i | ||||
\(177\) | 1.17859 | − | 6.89245i | 0.0885881 | − | 0.518068i | ||||
\(178\) | −2.11674 | + | 3.66631i | −0.158657 | + | 0.274801i | ||||
\(179\) | −7.59652 | −0.567790 | −0.283895 | − | 0.958855i | \(-0.591627\pi\) | ||||
−0.283895 | + | 0.958855i | \(0.591627\pi\) | |||||||
\(180\) | 3.70396 | + | 1.30489i | 0.276077 | + | 0.0972605i | ||||
\(181\) | −6.85284 | −0.509367 | −0.254684 | − | 0.967024i | \(-0.581971\pi\) | ||||
−0.254684 | + | 0.967024i | \(0.581971\pi\) | |||||||
\(182\) | 2.64468 | − | 4.58073i | 0.196037 | − | 0.339546i | ||||
\(183\) | 4.90166 | − | 1.81283i | 0.362341 | − | 0.134009i | ||||
\(184\) | −3.50779 | − | 6.07567i | −0.258598 | − | 0.447904i | ||||
\(185\) | 4.38661 | + | 7.59784i | 0.322510 | + | 0.558604i | ||||
\(186\) | −19.8518 | − | 16.4834i | −1.45561 | − | 1.20862i | ||||
\(187\) | 3.14630 | − | 5.44956i | 0.230081 | − | 0.398511i | ||||
\(188\) | −10.5557 | −0.769853 | ||||||||
\(189\) | −7.75667 | − | 12.9659i | −0.564215 | − | 0.943133i | ||||
\(190\) | 11.1550 | 0.809272 | ||||||||
\(191\) | −4.33199 | + | 7.50323i | −0.313452 | + | 0.542915i | −0.979107 | − | 0.203345i | \(-0.934819\pi\) |
0.665655 | + | 0.746259i | \(0.268152\pi\) | |||||||
\(192\) | −2.46160 | − | 2.04392i | −0.177651 | − | 0.147507i | ||||
\(193\) | −11.9561 | − | 20.7085i | −0.860617 | − | 1.49063i | −0.871334 | − | 0.490690i | \(-0.836745\pi\) |
0.0107172 | − | 0.999943i | \(-0.496589\pi\) | |||||||
\(194\) | 11.7673 | + | 20.3816i | 0.844846 | + | 1.46332i | ||||
\(195\) | 1.62451 | − | 0.600809i | 0.116333 | − | 0.0430248i | ||||
\(196\) | −0.952232 | + | 1.64931i | −0.0680166 | + | 0.117808i | ||||
\(197\) | 2.57489 | 0.183453 | 0.0917267 | − | 0.995784i | \(-0.470761\pi\) | ||||
0.0917267 | + | 0.995784i | \(0.470761\pi\) | |||||||
\(198\) | −13.1803 | + | 11.2940i | −0.936683 | + | 0.802632i | ||||
\(199\) | −9.19810 | −0.652036 | −0.326018 | − | 0.945364i | \(-0.605707\pi\) | ||||
−0.326018 | + | 0.945364i | \(0.605707\pi\) | |||||||
\(200\) | −0.628463 | + | 1.08853i | −0.0444390 | + | 0.0769706i | ||||
\(201\) | 1.66226 | − | 9.72096i | 0.117246 | − | 0.685664i | ||||
\(202\) | −11.5757 | − | 20.0497i | −0.814464 | − | 1.41069i | ||||
\(203\) | 5.33134 | + | 9.23415i | 0.374187 | + | 0.648110i | ||||
\(204\) | −0.756068 | + | 4.42153i | −0.0529354 | + | 0.309569i | ||||
\(205\) | 1.03484 | − | 1.79239i | 0.0722763 | − | 0.125186i | ||||
\(206\) | 18.9113 | 1.31761 | ||||||||
\(207\) | 12.7151 | − | 10.8954i | 0.883758 | − | 0.757282i | ||||
\(208\) | −4.90450 | −0.340066 | ||||||||
\(209\) | −9.75217 | + | 16.8913i | −0.674572 | + | 1.16839i | ||||
\(210\) | −8.59262 | + | 3.17790i | −0.592947 | + | 0.219296i | ||||
\(211\) | 5.06507 | + | 8.77295i | 0.348694 | + | 0.603955i | 0.986018 | − | 0.166641i | \(-0.0532921\pi\) |
−0.637324 | + | 0.770596i | \(0.719959\pi\) | |||||||
\(212\) | −2.02583 | − | 3.50884i | −0.139135 | − | 0.240988i | ||||
\(213\) | 0.954263 | + | 0.792344i | 0.0653850 | + | 0.0542905i | ||||
\(214\) | −16.6144 | + | 28.7770i | −1.13574 | + | 1.96716i | ||||
\(215\) | −1.85741 | −0.126674 | ||||||||
\(216\) | −3.17740 | + | 5.70617i | −0.216195 | + | 0.388256i | ||||
\(217\) | 23.8129 | 1.61653 | ||||||||
\(218\) | 14.3829 | − | 24.9119i | 0.974134 | − | 1.68725i | ||||
\(219\) | 1.49999 | + | 1.24547i | 0.101360 | + | 0.0841610i | ||||
\(220\) | 2.08176 | + | 3.60571i | 0.140352 | + | 0.243097i | ||||
\(221\) | 0.989215 | + | 1.71337i | 0.0665418 | + | 0.115254i | ||||
\(222\) | 25.9258 | − | 9.58840i | 1.74002 | − | 0.643531i | ||||
\(223\) | −7.01972 | + | 12.1585i | −0.470075 | + | 0.814194i | −0.999414 | − | 0.0342160i | \(-0.989107\pi\) |
0.529339 | + | 0.848410i | \(0.322440\pi\) | |||||||
\(224\) | 18.6321 | 1.24491 | ||||||||
\(225\) | −2.82954 | − | 0.996835i | −0.188636 | − | 0.0664556i | ||||
\(226\) | −29.1824 | −1.94118 | ||||||||
\(227\) | 8.54222 | − | 14.7956i | 0.566967 | − | 0.982016i | −0.429896 | − | 0.902878i | \(-0.641450\pi\) |
0.996864 | − | 0.0791379i | \(-0.0252167\pi\) | |||||||
\(228\) | 2.34348 | − | 13.7048i | 0.155201 | − | 0.907623i | ||||
\(229\) | 7.87595 | + | 13.6415i | 0.520457 | + | 0.901458i | 0.999717 | + | 0.0237854i | \(0.00757183\pi\) |
−0.479260 | + | 0.877673i | \(0.659095\pi\) | |||||||
\(230\) | −5.07662 | − | 8.79296i | −0.334742 | − | 0.579791i | ||||
\(231\) | 2.69994 | − | 15.7894i | 0.177643 | − | 1.03887i | ||||
\(232\) | 2.30458 | − | 3.99165i | 0.151303 | − | 0.262065i | ||||
\(233\) | −23.3774 | −1.53150 | −0.765751 | − | 0.643137i | \(-0.777633\pi\) | ||||
−0.765751 | + | 0.643137i | \(0.777633\pi\) | |||||||
\(234\) | −1.00320 | − | 5.36422i | −0.0655811 | − | 0.350670i | ||||
\(235\) | 8.06375 | 0.526021 | ||||||||
\(236\) | −2.64235 | + | 4.57669i | −0.172003 | + | 0.297917i | ||||
\(237\) | −23.6710 | + | 8.75449i | −1.53760 | + | 0.568665i | ||||
\(238\) | −5.23232 | − | 9.06264i | −0.339161 | − | 0.587444i | ||||
\(239\) | 0.604547 | + | 1.04711i | 0.0391049 | + | 0.0677316i | 0.884915 | − | 0.465752i | \(-0.154216\pi\) |
−0.845811 | + | 0.533483i | \(0.820883\pi\) | |||||||
\(240\) | 6.53559 | + | 5.42664i | 0.421871 | + | 0.350288i | ||||
\(241\) | 12.2678 | − | 21.2484i | 0.790238 | − | 1.36873i | −0.135582 | − | 0.990766i | \(-0.543290\pi\) |
0.925820 | − | 0.377966i | \(-0.123376\pi\) | |||||||
\(242\) | 1.60757 | 0.103338 | ||||||||
\(243\) | −14.7814 | − | 4.95088i | −0.948225 | − | 0.317599i | ||||
\(244\) | −3.94976 | −0.252858 | ||||||||
\(245\) | 0.727433 | − | 1.25995i | 0.0464740 | − | 0.0804953i | ||||
\(246\) | −5.01699 | − | 4.16571i | −0.319872 | − | 0.265596i | ||||
\(247\) | −3.06613 | − | 5.31070i | −0.195093 | − | 0.337912i | ||||
\(248\) | −5.14682 | − | 8.91456i | −0.326824 | − | 0.566075i | ||||
\(249\) | −0.175602 | + | 0.0649447i | −0.0111283 | + | 0.00411570i | ||||
\(250\) | −0.909537 | + | 1.57536i | −0.0575242 | + | 0.0996348i | ||||
\(251\) | −0.457299 | −0.0288645 | −0.0144322 | − | 0.999896i | \(-0.504594\pi\) | ||||
−0.0144322 | + | 0.999896i | \(0.504594\pi\) | |||||||
\(252\) | 2.09913 | + | 11.2243i | 0.132233 | + | 0.707065i | ||||
\(253\) | 17.7527 | 1.11610 | ||||||||
\(254\) | −18.2259 | + | 31.5682i | −1.14359 | + | 1.98076i | ||||
\(255\) | 0.577579 | − | 3.37771i | 0.0361694 | − | 0.211521i | ||||
\(256\) | −10.4472 | − | 18.0951i | −0.652950 | − | 1.13094i | ||||
\(257\) | −6.66062 | − | 11.5365i | −0.415478 | − | 0.719629i | 0.580001 | − | 0.814616i | \(-0.303052\pi\) |
−0.995478 | + | 0.0949873i | \(0.969719\pi\) | |||||||
\(258\) | −0.986391 | + | 5.76847i | −0.0614100 | + | 0.359129i | ||||
\(259\) | −12.7551 | + | 22.0924i | −0.792561 | + | 1.37276i | ||||
\(260\) | −1.30903 | −0.0811826 | ||||||||
\(261\) | 10.3760 | + | 3.65541i | 0.642257 | + | 0.226264i | ||||
\(262\) | 4.29108 | 0.265104 | ||||||||
\(263\) | 11.5770 | − | 20.0519i | 0.713866 | − | 1.23645i | −0.249529 | − | 0.968367i | \(-0.580276\pi\) |
0.963395 | − | 0.268085i | \(-0.0863907\pi\) | |||||||
\(264\) | −6.49444 | + | 2.40191i | −0.399705 | + | 0.147827i | ||||
\(265\) | 1.54758 | + | 2.68049i | 0.0950673 | + | 0.164661i | ||||
\(266\) | 16.2179 | + | 28.0902i | 0.994383 | + | 1.72232i | ||||
\(267\) | −3.10126 | − | 2.57504i | −0.189794 | − | 0.157590i | ||||
\(268\) | −3.72672 | + | 6.45486i | −0.227646 | + | 0.394294i | ||||
\(269\) | 16.2398 | 0.990159 | 0.495080 | − | 0.868848i | \(-0.335139\pi\) | ||||
0.495080 | + | 0.868848i | \(0.335139\pi\) | |||||||
\(270\) | −4.59847 | + | 8.25820i | −0.279854 | + | 0.502578i | ||||
\(271\) | 29.0860 | 1.76685 | 0.883424 | − | 0.468574i | \(-0.155232\pi\) | ||||
0.883424 | + | 0.468574i | \(0.155232\pi\) | |||||||
\(272\) | −4.85160 | + | 8.40322i | −0.294172 | + | 0.509520i | ||||
\(273\) | 3.87475 | + | 3.21728i | 0.234510 | + | 0.194719i | ||||
\(274\) | 4.79542 | + | 8.30591i | 0.289702 | + | 0.501779i | ||||
\(275\) | −1.59030 | − | 2.75449i | −0.0958990 | − | 0.166102i | ||||
\(276\) | −11.8693 | + | 4.38976i | −0.714449 | + | 0.264232i | ||||
\(277\) | 7.05950 | − | 12.2274i | 0.424164 | − | 0.734674i | −0.572178 | − | 0.820130i | \(-0.693901\pi\) |
0.996342 | + | 0.0854555i | \(0.0272345\pi\) | |||||||
\(278\) | 34.5152 | 2.07009 | ||||||||
\(279\) | 18.6562 | − | 15.9863i | 1.11692 | − | 0.957076i | ||||
\(280\) | −3.65479 | −0.218416 | ||||||||
\(281\) | 10.5837 | − | 18.3316i | 0.631373 | − | 1.09357i | −0.355898 | − | 0.934525i | \(-0.615825\pi\) |
0.987271 | − | 0.159046i | \(-0.0508417\pi\) | |||||||
\(282\) | 4.28231 | − | 25.0432i | 0.255008 | − | 1.49130i | ||||
\(283\) | −8.59973 | − | 14.8952i | −0.511201 | − | 0.885426i | −0.999916 | − | 0.0129824i | \(-0.995867\pi\) |
0.488715 | − | 0.872444i | \(-0.337466\pi\) | |||||||
\(284\) | −0.468703 | − | 0.811817i | −0.0278124 | − | 0.0481725i | ||||
\(285\) | −1.79024 | + | 10.4694i | −0.106045 | + | 0.620156i | ||||
\(286\) | 2.89288 | − | 5.01062i | 0.171060 | − | 0.296284i | ||||
\(287\) | 6.01806 | 0.355235 | ||||||||
\(288\) | 14.5973 | − | 12.5083i | 0.860156 | − | 0.737057i | ||||
\(289\) | −13.0858 | −0.769754 | ||||||||
\(290\) | 3.33529 | − | 5.77689i | 0.195855 | − | 0.339230i | ||||
\(291\) | −21.0175 | + | 7.77311i | −1.23207 | + | 0.455668i | ||||
\(292\) | −0.736744 | − | 1.27608i | −0.0431147 | − | 0.0746768i | ||||
\(293\) | −6.63650 | − | 11.4947i | −0.387708 | − | 0.671530i | 0.604433 | − | 0.796656i | \(-0.293400\pi\) |
−0.992141 | + | 0.125126i | \(0.960067\pi\) | |||||||
\(294\) | −3.52666 | − | 2.92826i | −0.205679 | − | 0.170780i | ||||
\(295\) | 2.01856 | − | 3.49624i | 0.117525 | − | 0.203559i | ||||
\(296\) | 11.0273 | 0.640948 | ||||||||
\(297\) | −8.48462 | − | 14.1828i | −0.492327 | − | 0.822967i | ||||
\(298\) | 27.0477 | 1.56683 | ||||||||
\(299\) | −2.79077 | + | 4.83376i | −0.161394 | + | 0.279543i | ||||
\(300\) | 1.74437 | + | 1.44839i | 0.100712 | + | 0.0836229i | ||||
\(301\) | −2.70042 | − | 4.67726i | −0.155650 | − | 0.269593i | ||||
\(302\) | −10.5146 | − | 18.2119i | −0.605049 | − | 1.04798i | ||||
\(303\) | 20.6752 | − | 7.64652i | 1.18776 | − | 0.439281i | ||||
\(304\) | 15.0379 | − | 26.0463i | 0.862480 | − | 1.49386i | ||||
\(305\) | 3.01732 | 0.172771 | ||||||||
\(306\) | −10.1833 | − | 3.58752i | −0.582139 | − | 0.205085i | ||||
\(307\) | 31.0270 | 1.77080 | 0.885402 | − | 0.464826i | \(-0.153883\pi\) | ||||
0.885402 | + | 0.464826i | \(0.153883\pi\) | |||||||
\(308\) | −6.05318 | + | 10.4844i | −0.344912 | + | 0.597405i | ||||
\(309\) | −3.03502 | + | 17.7490i | −0.172656 | + | 1.00970i | ||||
\(310\) | −7.44869 | − | 12.9015i | −0.423057 | − | 0.732757i | ||||
\(311\) | −12.6825 | − | 21.9666i | −0.719156 | − | 1.24561i | −0.961335 | − | 0.275383i | \(-0.911195\pi\) |
0.242179 | − | 0.970232i | \(-0.422138\pi\) | |||||||
\(312\) | 0.366944 | − | 2.14591i | 0.0207741 | − | 0.121488i | ||||
\(313\) | 1.55085 | − | 2.68615i | 0.0876593 | − | 0.151830i | −0.818862 | − | 0.573990i | \(-0.805395\pi\) |
0.906521 | + | 0.422160i | \(0.138728\pi\) | |||||||
\(314\) | 20.1238 | 1.13565 | ||||||||
\(315\) | −1.60358 | − | 8.57452i | −0.0903512 | − | 0.483119i | ||||
\(316\) | 19.0741 | 1.07300 | ||||||||
\(317\) | −2.16385 | + | 3.74790i | −0.121534 | + | 0.210503i | −0.920373 | − | 0.391042i | \(-0.872115\pi\) |
0.798839 | + | 0.601545i | \(0.205448\pi\) | |||||||
\(318\) | 9.14653 | − | 3.38276i | 0.512912 | − | 0.189696i | ||||
\(319\) | 5.83167 | + | 10.1008i | 0.326511 | + | 0.565534i | ||||
\(320\) | −0.923629 | − | 1.59977i | −0.0516325 | − | 0.0894300i | ||||
\(321\) | −24.3420 | − | 20.2116i | −1.35864 | − | 1.12810i | ||||
\(322\) | 14.7614 | − | 25.5675i | 0.822621 | − | 1.42482i | ||||
\(323\) | −12.1323 | −0.675057 | ||||||||
\(324\) | 9.17976 | + | 7.38447i | 0.509987 | + | 0.410248i | ||||
\(325\) | 1.00000 | 0.0554700 | ||||||||
\(326\) | −8.92681 | + | 15.4617i | −0.494410 | + | 0.856344i | ||||
\(327\) | 21.0725 | + | 17.4970i | 1.16531 | + | 0.967584i | ||||
\(328\) | −1.30072 | − | 2.25291i | −0.0718200 | − | 0.124396i | ||||
\(329\) | 11.7236 | + | 20.3058i | 0.646342 | + | 1.11950i | ||||
\(330\) | −9.39902 | + | 3.47614i | −0.517399 | + | 0.191355i | ||||
\(331\) | −0.904396 | + | 1.56646i | −0.0497101 | + | 0.0861004i | −0.889810 | − | 0.456332i | \(-0.849163\pi\) |
0.840100 | + | 0.542432i | \(0.182496\pi\) | |||||||
\(332\) | 0.141500 | 0.00776582 | ||||||||
\(333\) | 4.83833 | + | 25.8711i | 0.265139 | + | 1.41773i | ||||
\(334\) | −8.19441 | −0.448378 | ||||||||
\(335\) | 2.84693 | − | 4.93103i | 0.155544 | − | 0.269411i | ||||
\(336\) | −4.16331 | + | 24.3473i | −0.227127 | + | 1.32825i | ||||
\(337\) | 7.87660 | + | 13.6427i | 0.429066 | + | 0.743164i | 0.996790 | − | 0.0800548i | \(-0.0255095\pi\) |
−0.567725 | + | 0.823218i | \(0.692176\pi\) | |||||||
\(338\) | 0.909537 | + | 1.57536i | 0.0494723 | + | 0.0856885i | ||||
\(339\) | 4.68340 | − | 27.3888i | 0.254367 | − | 1.48755i | ||||
\(340\) | −1.29491 | + | 2.24285i | −0.0702264 | + | 0.121636i | ||||
\(341\) | 26.0477 | 1.41056 | ||||||||
\(342\) | 31.5637 | + | 11.1197i | 1.70677 | + | 0.601286i | ||||
\(343\) | −16.1237 | −0.870599 | ||||||||
\(344\) | −1.16731 | + | 2.02184i | −0.0629373 | + | 0.109011i | ||||
\(345\) | 9.06726 | − | 3.35344i | 0.488165 | − | 0.180543i | ||||
\(346\) | 21.1035 | + | 36.5523i | 1.13453 | + | 1.96506i | ||||
\(347\) | −12.6985 | − | 21.9945i | −0.681692 | − | 1.18072i | −0.974464 | − | 0.224543i | \(-0.927911\pi\) |
0.292772 | − | 0.956182i | \(-0.405422\pi\) | |||||||
\(348\) | −6.39665 | − | 5.31127i | −0.342896 | − | 0.284714i | ||||
\(349\) | 13.1045 | − | 22.6977i | 0.701469 | − | 1.21498i | −0.266481 | − | 0.963840i | \(-0.585861\pi\) |
0.967951 | − | 0.251140i | \(-0.0808056\pi\) | |||||||
\(350\) | −5.28937 | −0.282729 | ||||||||
\(351\) | 5.19553 | − | 0.0806501i | 0.277317 | − | 0.00430478i | ||||
\(352\) | 20.3807 | 1.08629 | ||||||||
\(353\) | −15.6137 | + | 27.0437i | −0.831034 | + | 1.43939i | 0.0661851 | + | 0.997807i | \(0.478917\pi\) |
−0.897219 | + | 0.441586i | \(0.854416\pi\) | |||||||
\(354\) | −9.78615 | − | 8.12564i | −0.520128 | − | 0.431873i | ||||
\(355\) | 0.358053 | + | 0.620167i | 0.0190035 | + | 0.0329150i | ||||
\(356\) | 1.52324 | + | 2.63832i | 0.0807314 | + | 0.139831i | ||||
\(357\) | 9.34536 | − | 3.45629i | 0.494609 | − | 0.182926i | ||||
\(358\) | −6.90931 | + | 11.9673i | −0.365169 | + | 0.632491i | ||||
\(359\) | −15.6733 | −0.827207 | −0.413604 | − | 0.910457i | \(-0.635730\pi\) | ||||
−0.413604 | + | 0.910457i | \(0.635730\pi\) | |||||||
\(360\) | −2.86335 | + | 2.45357i | −0.150912 | + | 0.129314i | ||||
\(361\) | 18.6047 | 0.979194 | ||||||||
\(362\) | −6.23291 | + | 10.7957i | −0.327594 | + | 0.567410i | ||||
\(363\) | −0.257994 | + | 1.50877i | −0.0135412 | + | 0.0791896i | ||||
\(364\) | −1.90315 | − | 3.29635i | −0.0997522 | − | 0.172776i | ||||
\(365\) | 0.562817 | + | 0.974827i | 0.0294592 | + | 0.0510248i | ||||
\(366\) | 1.60237 | − | 9.37074i | 0.0837572 | − | 0.489816i | ||||
\(367\) | −15.7212 | + | 27.2298i | −0.820638 | + | 1.42139i | 0.0845702 | + | 0.996418i | \(0.473048\pi\) |
−0.905208 | + | 0.424969i | \(0.860285\pi\) | |||||||
\(368\) | −27.3747 | −1.42700 | ||||||||
\(369\) | 4.71484 | − | 4.04009i | 0.245445 | − | 0.210319i | ||||
\(370\) | 15.9591 | 0.829676 | ||||||||
\(371\) | −4.49995 | + | 7.79413i | −0.233626 | + | 0.404651i | ||||
\(372\) | −17.4153 | + | 6.44089i | −0.902942 | + | 0.333945i | ||||
\(373\) | −14.4658 | − | 25.0555i | −0.749012 | − | 1.29733i | −0.948297 | − | 0.317385i | \(-0.897195\pi\) |
0.199285 | − | 0.979942i | \(-0.436138\pi\) | |||||||
\(374\) | −5.72336 | − | 9.91315i | −0.295948 | − | 0.512597i | ||||
\(375\) | −1.33257 | − | 1.10646i | −0.0688136 | − | 0.0571374i | ||||
\(376\) | 5.06777 | − | 8.77763i | 0.261350 | − | 0.452672i | ||||
\(377\) | −3.66702 | −0.188861 | ||||||||
\(378\) | −27.4810 | + | 0.426588i | −1.41347 | + | 0.0219413i | ||||
\(379\) | −6.55238 | −0.336573 | −0.168287 | − | 0.985738i | \(-0.553823\pi\) | ||||
−0.168287 | + | 0.985738i | \(0.553823\pi\) | |||||||
\(380\) | 4.01366 | − | 6.95186i | 0.205896 | − | 0.356623i | ||||
\(381\) | −26.7029 | − | 22.1720i | −1.36803 | − | 1.13591i | ||||
\(382\) | 7.88022 | + | 13.6489i | 0.403187 | + | 0.698340i | ||||
\(383\) | 10.1929 | + | 17.6546i | 0.520834 | + | 0.902110i | 0.999707 | + | 0.0242260i | \(0.00771214\pi\) |
−0.478873 | + | 0.877884i | \(0.658955\pi\) | |||||||
\(384\) | 15.3602 | − | 5.68083i | 0.783847 | − | 0.289899i | ||||
\(385\) | 4.62417 | − | 8.00929i | 0.235669 | − | 0.408191i | ||||
\(386\) | −43.4980 | −2.21399 | ||||||||
\(387\) | −5.25562 | − | 1.85153i | −0.267158 | − | 0.0941186i | ||||
\(388\) | 16.9359 | 0.859789 | ||||||||
\(389\) | −2.18988 | + | 3.79299i | −0.111031 | + | 0.192312i | −0.916186 | − | 0.400752i | \(-0.868749\pi\) |
0.805155 | + | 0.593065i | \(0.202082\pi\) | |||||||
\(390\) | 0.531057 | − | 3.10565i | 0.0268911 | − | 0.157261i | ||||
\(391\) | 5.52134 | + | 9.56324i | 0.279226 | + | 0.483634i | ||||
\(392\) | −0.914329 | − | 1.58366i | −0.0461806 | − | 0.0799871i | ||||
\(393\) | −0.688664 | + | 4.02734i | −0.0347385 | + | 0.203153i | ||||
\(394\) | 2.34196 | − | 4.05639i | 0.117986 | − | 0.204358i | ||||
\(395\) | −14.5712 | −0.733155 | ||||||||
\(396\) | 2.29613 | + | 12.2777i | 0.115385 | + | 0.616976i | ||||
\(397\) | 17.0748 | 0.856959 | 0.428479 | − | 0.903552i | \(-0.359049\pi\) | ||||
0.428479 | + | 0.903552i | \(0.359049\pi\) | |||||||
\(398\) | −8.36601 | + | 14.4904i | −0.419350 | + | 0.726336i | ||||
\(399\) | −28.9665 | + | 10.7130i | −1.45014 | + | 0.536321i | ||||
\(400\) | 2.45225 | + | 4.24742i | 0.122613 | + | 0.212371i | ||||
\(401\) | 2.08563 | + | 3.61242i | 0.104152 | + | 0.180396i | 0.913391 | − | 0.407083i | \(-0.133454\pi\) |
−0.809240 | + | 0.587479i | \(0.800121\pi\) | |||||||
\(402\) | −13.8022 | − | 11.4602i | −0.688390 | − | 0.571584i | ||||
\(403\) | −4.09477 | + | 7.09235i | −0.203975 | + | 0.353295i | ||||
\(404\) | −16.6601 | −0.828870 | ||||||||
\(405\) | −7.01264 | − | 5.64118i | −0.348461 | − | 0.280312i | ||||
\(406\) | 19.3962 | 0.962617 | ||||||||
\(407\) | −13.9521 | + | 24.1657i | −0.691580 | + | 1.19785i | ||||
\(408\) | −3.31375 | − | 2.75148i | −0.164055 | − | 0.136218i | ||||
\(409\) | −6.39405 | − | 11.0748i | −0.316165 | − | 0.547614i | 0.663519 | − | 0.748159i | \(-0.269062\pi\) |
−0.979685 | + | 0.200545i | \(0.935729\pi\) | |||||||
\(410\) | −1.88245 | − | 3.26050i | −0.0929675 | − | 0.161024i | ||||
\(411\) | −8.56502 | + | 3.16769i | −0.422481 | + | 0.156251i | ||||
\(412\) | 6.80441 | − | 11.7856i | 0.335229 | − | 0.580634i | ||||
\(413\) | 11.7388 | 0.577630 | ||||||||
\(414\) | −5.59939 | − | 29.9406i | −0.275195 | − | 1.47150i | ||||
\(415\) | −0.108095 | −0.00530619 | ||||||||
\(416\) | −3.20390 | + | 5.54932i | −0.157084 | + | 0.272078i | ||||
\(417\) | −5.53925 | + | 32.3939i | −0.271258 | + | 1.58633i | ||||
\(418\) | 17.7399 | + | 30.7264i | 0.867688 | + | 1.50288i | ||||
\(419\) | −0.801447 | − | 1.38815i | −0.0391532 | − | 0.0678154i | 0.845785 | − | 0.533524i | \(-0.179133\pi\) |
−0.884938 | + | 0.465709i | \(0.845799\pi\) | |||||||
\(420\) | −1.11120 | + | 6.49838i | −0.0542212 | + | 0.317089i | ||||
\(421\) | −10.2518 | + | 17.7566i | −0.499642 | + | 0.865405i | −1.00000 | 0.000413253i | \(-0.999868\pi\) | |
0.500358 | + | 0.865819i | \(0.333202\pi\) | |||||||
\(422\) | 18.4275 | 0.897035 | ||||||||
\(423\) | 22.8167 | + | 8.03823i | 1.10939 | + | 0.390832i | ||||
\(424\) | 3.89039 | 0.188934 | ||||||||
\(425\) | 0.989215 | − | 1.71337i | 0.0479840 | − | 0.0831106i | ||||
\(426\) | 2.11617 | − | 0.782645i | 0.102529 | − | 0.0379193i | ||||
\(427\) | 4.38677 | + | 7.59810i | 0.212291 | + | 0.367698i | ||||
\(428\) | 11.9560 | + | 20.7084i | 0.577914 | + | 1.00098i | ||||
\(429\) | 4.23838 | + | 3.51922i | 0.204631 | + | 0.169910i | ||||
\(430\) | −1.68938 | + | 2.92610i | −0.0814693 | + | 0.141109i | ||||
\(431\) | −34.2496 | −1.64974 | −0.824872 | − | 0.565319i | \(-0.808753\pi\) | ||||
−0.824872 | + | 0.565319i | \(0.808753\pi\) | |||||||
\(432\) | 13.0833 | + | 21.8698i | 0.629470 | + | 1.05221i | ||||
\(433\) | 9.63935 | 0.463238 | 0.231619 | − | 0.972807i | \(-0.425598\pi\) | ||||
0.231619 | + | 0.972807i | \(0.425598\pi\) | |||||||
\(434\) | 21.6588 | − | 37.5141i | 1.03965 | − | 1.80073i | ||||
\(435\) | 4.88656 | + | 4.05741i | 0.234293 | + | 0.194538i | ||||
\(436\) | −10.3501 | − | 17.9270i | −0.495682 | − | 0.858546i | ||||
\(437\) | −17.1137 | − | 29.6419i | −0.818661 | − | 1.41796i | ||||
\(438\) | 3.32636 | − | 1.23022i | 0.158940 | − | 0.0587823i | ||||
\(439\) | −2.92186 | + | 5.06080i | −0.139453 | + | 0.241539i | −0.927290 | − | 0.374345i | \(-0.877868\pi\) |
0.787837 | + | 0.615884i | \(0.211201\pi\) | |||||||
\(440\) | −3.99779 | −0.190587 | ||||||||
\(441\) | 3.31427 | − | 2.83996i | 0.157822 | − | 0.135236i | ||||
\(442\) | 3.59891 | 0.171183 | ||||||||
\(443\) | −18.1976 | + | 31.5192i | −0.864595 | + | 1.49752i | 0.00285335 | + | 0.999996i | \(0.499092\pi\) |
−0.867449 | + | 0.497527i | \(0.834242\pi\) | |||||||
\(444\) | 3.35274 | − | 19.6070i | 0.159114 | − | 0.930507i | ||||
\(445\) | −1.16364 | − | 2.01548i | −0.0551617 | − | 0.0955429i | ||||
\(446\) | 12.7694 | + | 22.1172i | 0.604648 | + | 1.04728i | ||||
\(447\) | −4.34082 | + | 25.3853i | −0.205314 | + | 1.20069i | ||||
\(448\) | 2.68566 | − | 4.65170i | 0.126886 | − | 0.219772i | ||||
\(449\) | 27.6598 | 1.30535 | 0.652673 | − | 0.757639i | \(-0.273647\pi\) | ||||
0.652673 | + | 0.757639i | \(0.273647\pi\) | |||||||
\(450\) | −4.14395 | + | 3.55090i | −0.195348 | + | 0.167391i | ||||
\(451\) | 6.58284 | 0.309974 | ||||||||
\(452\) | −10.5000 | + | 18.1865i | −0.493879 | + | 0.855423i | ||||
\(453\) | 18.7800 | − | 6.94561i | 0.882362 | − | 0.326333i | ||||
\(454\) | −15.5389 | − | 26.9142i | −0.729278 | − | 1.26315i | ||||
\(455\) | 1.45386 | + | 2.51816i | 0.0681581 | + | 0.118053i | ||||
\(456\) | 10.2712 | + | 8.52838i | 0.480992 | + | 0.399378i | ||||
\(457\) | 7.91720 | − | 13.7130i | 0.370351 | − | 0.641467i | −0.619268 | − | 0.785179i | \(-0.712571\pi\) |
0.989620 | + | 0.143712i | \(0.0459040\pi\) | |||||||
\(458\) | 28.6539 | 1.33891 | ||||||||
\(459\) | 5.00131 | − | 8.98164i | 0.233441 | − | 0.419227i | ||||
\(460\) | −7.30640 | −0.340663 | ||||||||
\(461\) | 6.59008 | − | 11.4144i | 0.306931 | − | 0.531620i | −0.670759 | − | 0.741676i | \(-0.734031\pi\) |
0.977689 | + | 0.210056i | \(0.0673646\pi\) | |||||||
\(462\) | −22.4184 | − | 18.6144i | −1.04300 | − | 0.866022i | ||||
\(463\) | 11.5886 | + | 20.0720i | 0.538567 | + | 0.932826i | 0.998982 | + | 0.0451216i | \(0.0143675\pi\) |
−0.460414 | + | 0.887704i | \(0.652299\pi\) | |||||||
\(464\) | −8.99244 | − | 15.5754i | −0.417464 | − | 0.723068i | ||||
\(465\) | 13.3040 | − | 4.92036i | 0.616958 | − | 0.228176i | ||||
\(466\) | −21.2626 | + | 36.8279i | −0.984970 | + | 1.70602i | ||||
\(467\) | −20.2503 | −0.937072 | −0.468536 | − | 0.883444i | \(-0.655218\pi\) | ||||
−0.468536 | + | 0.883444i | \(0.655218\pi\) | |||||||
\(468\) | −3.70396 | − | 1.30489i | −0.171216 | − | 0.0603184i | ||||
\(469\) | 16.5562 | 0.764493 | ||||||||
\(470\) | 7.33428 | − | 12.7033i | 0.338305 | − | 0.585962i | ||||
\(471\) | −3.22962 | + | 18.8870i | −0.148813 | + | 0.870266i | ||||
\(472\) | −2.53718 | − | 4.39452i | −0.116783 | − | 0.202274i | ||||
\(473\) | −2.95385 | − | 5.11621i | −0.135818 | − | 0.235244i | ||||
\(474\) | −7.73812 | + | 45.2530i | −0.355424 | + | 2.07854i | ||||
\(475\) | −3.06613 | + | 5.31070i | −0.140684 | + | 0.243672i | ||||
\(476\) | −7.53050 | −0.345160 | ||||||||
\(477\) | 1.70695 | + | 9.12725i | 0.0781557 | + | 0.417908i | ||||
\(478\) | 2.19943 | 0.100600 | ||||||||
\(479\) | −15.0014 | + | 25.9832i | −0.685431 | + | 1.18720i | 0.287870 | + | 0.957669i | \(0.407053\pi\) |
−0.973301 | + | 0.229532i | \(0.926280\pi\) | |||||||
\(480\) | 10.4095 | − | 3.84987i | 0.475128 | − | 0.175721i | ||||
\(481\) | −4.38661 | − | 7.59784i | −0.200012 | − | 0.346431i | ||||
\(482\) | −22.3160 | − | 38.6525i | −1.01647 | − | 1.76057i | ||||
\(483\) | 21.6271 | + | 17.9574i | 0.984066 | + | 0.817090i | ||||
\(484\) | 0.578414 | − | 1.00184i | 0.0262916 | − | 0.0455383i | ||||
\(485\) | −12.9377 | −0.587472 | ||||||||
\(486\) | −21.2436 | + | 18.7830i | −0.963631 | + | 0.852016i | ||||
\(487\) | −24.6047 | −1.11494 | −0.557472 | − | 0.830196i | \(-0.688229\pi\) | ||||
−0.557472 | + | 0.830196i | \(0.688229\pi\) | |||||||
\(488\) | 1.89627 | − | 3.28444i | 0.0858402 | − | 0.148680i | ||||
\(489\) | −13.0787 | − | 10.8596i | −0.591441 | − | 0.491086i | ||||
\(490\) | −1.32325 | − | 2.29194i | −0.0597786 | − | 0.103539i | ||||
\(491\) | 13.2045 | + | 22.8708i | 0.595909 | + | 1.03214i | 0.993418 | + | 0.114546i | \(0.0365415\pi\) |
−0.397509 | + | 0.917598i | \(0.630125\pi\) | |||||||
\(492\) | −4.40123 | + | 1.62776i | −0.198423 | + | 0.0733849i | ||||
\(493\) | −3.62747 | + | 6.28296i | −0.163373 | + | 0.282970i | ||||
\(494\) | −11.1550 | −0.501889 | ||||||||
\(495\) | −1.75407 | − | 9.37922i | −0.0788395 | − | 0.421564i | ||||
\(496\) | −40.1656 | −1.80349 | ||||||||
\(497\) | −1.04112 | + | 1.80327i | −0.0467006 | + | 0.0808879i | ||||
\(498\) | −0.0574048 | + | 0.335706i | −0.00257237 | + | 0.0150434i | ||||
\(499\) | 12.4508 | + | 21.5654i | 0.557374 | + | 0.965399i | 0.997715 | + | 0.0675687i | \(0.0215242\pi\) |
−0.440341 | + | 0.897831i | \(0.645142\pi\) | |||||||
\(500\) | 0.654515 | + | 1.13365i | 0.0292708 | + | 0.0506985i | ||||
\(501\) | 1.31510 | − | 7.69077i | 0.0587543 | − | 0.343598i | ||||
\(502\) | −0.415931 | + | 0.720413i | −0.0185639 | + | 0.0321536i | ||||
\(503\) | 32.4888 | 1.44861 | 0.724303 | − | 0.689482i | \(-0.242162\pi\) | ||||
0.724303 | + | 0.689482i | \(0.242162\pi\) | |||||||
\(504\) | −10.3414 | − | 3.64322i | −0.460643 | − | 0.162282i | ||||
\(505\) | 12.7270 | 0.566346 | ||||||||
\(506\) | 16.1467 | − | 27.9670i | 0.717810 | − | 1.24328i | ||||
\(507\) | −1.62451 | + | 0.600809i | −0.0721470 | + | 0.0266829i | ||||
\(508\) | 13.1156 | + | 22.7169i | 0.581911 | + | 1.00790i | ||||
\(509\) | −4.58649 | − | 7.94403i | −0.203293 | − | 0.352113i | 0.746295 | − | 0.665616i | \(-0.231831\pi\) |
−0.949587 | + | 0.313503i | \(0.898498\pi\) | |||||||
\(510\) | −4.79580 | − | 3.98205i | −0.212362 | − | 0.176328i | ||||
\(511\) | −1.63652 | + | 2.83453i | −0.0723952 | + | 0.125392i | ||||
\(512\) | −19.0979 | −0.844015 | ||||||||
\(513\) | −15.5019 | + | 27.8392i | −0.684424 | + | 1.22913i | ||||
\(514\) | −24.2323 | −1.06884 | ||||||||
\(515\) | −5.19805 | + | 9.00329i | −0.229054 | + | 0.396732i | ||||
\(516\) | 3.24002 | + | 2.69026i | 0.142634 | + | 0.118432i | ||||
\(517\) | 12.8238 | + | 22.2115i | 0.563991 | + | 0.976861i | ||||
\(518\) | 23.2024 | + | 40.1877i | 1.01946 | + | 1.76575i | ||||
\(519\) | −37.6925 | + | 13.9402i | −1.65452 | + | 0.611908i | ||||
\(520\) | 0.628463 | − | 1.08853i | 0.0275599 | − | 0.0477352i | ||||
\(521\) | 12.2681 | 0.537477 | 0.268739 | − | 0.963213i | \(-0.413393\pi\) | ||||
0.268739 | + | 0.963213i | \(0.413393\pi\) | |||||||
\(522\) | 15.1959 | − | 13.0212i | 0.665108 | − | 0.569924i | ||||
\(523\) | 33.6980 | 1.47351 | 0.736756 | − | 0.676159i | \(-0.236357\pi\) | ||||
0.736756 | + | 0.676159i | \(0.236357\pi\) | |||||||
\(524\) | 1.54396 | − | 2.67422i | 0.0674482 | − | 0.116824i | ||||
\(525\) | 0.848876 | − | 4.96427i | 0.0370480 | − | 0.216659i | ||||
\(526\) | −21.0593 | − | 36.4759i | −0.918231 | − | 1.59042i | ||||
\(527\) | 8.10122 | + | 14.0317i | 0.352895 | + | 0.611231i | ||||
\(528\) | −4.55403 | + | 26.6322i | −0.198189 | + | 1.15902i | ||||
\(529\) | −4.07680 | + | 7.06122i | −0.177252 | + | 0.307009i | ||||
\(530\) | 5.63034 | 0.244566 | ||||||||
\(531\) | 9.19678 | − | 7.88061i | 0.399106 | − | 0.341989i | ||||
\(532\) | 23.3412 | 1.01197 | ||||||||
\(533\) | −1.03484 | + | 1.79239i | −0.0448239 | + | 0.0776372i | ||||
\(534\) | −6.87734 | + | 2.54352i | −0.297612 | + | 0.110069i | ||||
\(535\) | −9.13346 | − | 15.8196i | −0.394874 | − | 0.683941i | ||||
\(536\) | −3.57838 | − | 6.19793i | −0.154562 | − | 0.267710i | ||||
\(537\) | −10.1229 | − | 8.40525i | −0.436835 | − | 0.362713i | ||||
\(538\) | 14.7707 | − | 25.5836i | 0.636811 | − | 1.10299i | ||||
\(539\) | 4.62736 | 0.199315 | ||||||||
\(540\) | 3.49198 | + | 5.83714i | 0.150271 | + | 0.251190i | ||||
\(541\) | 0.0987165 | 0.00424415 | 0.00212208 | − | 0.999998i | \(-0.499325\pi\) | ||||
0.00212208 | + | 0.999998i | \(0.499325\pi\) | |||||||
\(542\) | 26.4548 | − | 45.8210i | 1.13633 | − | 1.96818i | ||||
\(543\) | −9.13189 | − | 7.58240i | −0.391887 | − | 0.325392i | ||||
\(544\) | 6.33869 | + | 10.9789i | 0.271769 | + | 0.470718i | ||||
\(545\) | 7.90672 | + | 13.6948i | 0.338687 | + | 0.586623i | ||||
\(546\) | 8.59262 | − | 3.17790i | 0.367730 | − | 0.136002i | ||||
\(547\) | −4.62140 | + | 8.00450i | −0.197597 | + | 0.342248i | −0.947749 | − | 0.319018i | \(-0.896647\pi\) |
0.750152 | + | 0.661265i | \(0.229980\pi\) | |||||||
\(548\) | 6.90170 | 0.294826 | ||||||||
\(549\) | 8.53764 | + | 3.00777i | 0.364378 | + | 0.128368i | ||||
\(550\) | −5.78576 | −0.246706 | ||||||||
\(551\) | 11.2436 | − | 19.4744i | 0.478992 | − | 0.829638i | ||||
\(552\) | 2.04812 | − | 11.9775i | 0.0871736 | − | 0.509796i | ||||
\(553\) | −21.1845 | − | 36.6926i | −0.900856 | − | 1.56033i | ||||
\(554\) | −12.8418 | − | 22.2426i | −0.545594 | − | 0.944997i | ||||
\(555\) | −2.56124 | + | 14.9783i | −0.108719 | + | 0.635792i | ||||
\(556\) | 12.4188 | − | 21.5100i | 0.526675 | − | 0.912228i | ||||
\(557\) | 11.9568 | 0.506628 | 0.253314 | − | 0.967384i | \(-0.418479\pi\) | ||||
0.253314 | + | 0.967384i | \(0.418479\pi\) | |||||||
\(558\) | −8.21573 | − | 43.9305i | −0.347800 | − | 1.85973i | ||||
\(559\) | 1.85741 | 0.0785601 | ||||||||
\(560\) | −7.13047 | + | 12.3503i | −0.301317 | + | 0.521897i | ||||
\(561\) | 10.2224 | − | 3.78066i | 0.431590 | − | 0.159620i | ||||
\(562\) | −19.2526 | − | 33.3465i | −0.812122 | − | 1.40664i | ||||
\(563\) | −18.9637 | − | 32.8461i | −0.799225 | − | 1.38430i | −0.920121 | − | 0.391633i | \(-0.871910\pi\) |
0.120896 | − | 0.992665i | \(-0.461423\pi\) | |||||||
\(564\) | −14.0662 | − | 11.6795i | −0.592294 | − | 0.491794i | ||||
\(565\) | 8.02121 | − | 13.8931i | 0.337455 | − | 0.584489i | ||||
\(566\) | −31.2871 | −1.31509 | ||||||||
\(567\) | 4.00999 | − | 25.8605i | 0.168404 | − | 1.08604i | ||||
\(568\) | 0.900093 | 0.0377670 | ||||||||
\(569\) | −9.17271 | + | 15.8876i | −0.384540 | + | 0.666043i | −0.991705 | − | 0.128533i | \(-0.958973\pi\) |
0.607165 | + | 0.794575i | \(0.292307\pi\) | |||||||
\(570\) | 14.8649 | + | 12.3426i | 0.622621 | + | 0.516976i | ||||
\(571\) | 17.7011 | + | 30.6592i | 0.740768 | + | 1.28305i | 0.952146 | + | 0.305643i | \(0.0988715\pi\) |
−0.211378 | + | 0.977404i | \(0.567795\pi\) | |||||||
\(572\) | −2.08176 | − | 3.60571i | −0.0870426 | − | 0.150762i | ||||
\(573\) | −14.0747 | + | 5.20540i | −0.587980 | + | 0.217459i | ||||
\(574\) | 5.47364 | − | 9.48063i | 0.228465 | − | 0.395714i | ||||
\(575\) | 5.58154 | 0.232766 | ||||||||
\(576\) | −1.01874 | − | 5.44733i | −0.0424475 | − | 0.226972i | ||||
\(577\) | 2.55762 | 0.106475 | 0.0532376 | − | 0.998582i | \(-0.483046\pi\) | ||||
0.0532376 | + | 0.998582i | \(0.483046\pi\) | |||||||
\(578\) | −11.9020 | + | 20.6149i | −0.495059 | + | 0.857468i | ||||
\(579\) | 6.98087 | − | 40.8245i | 0.290115 | − | 1.69661i | ||||
\(580\) | −2.40012 | − | 4.15713i | −0.0996595 | − | 0.172615i | ||||
\(581\) | −0.157156 | − | 0.272202i | −0.00651992 | − | 0.0112928i | ||||
\(582\) | −6.87067 | + | 40.1801i | −0.284799 | + | 1.66552i | ||||
\(583\) | −4.92225 | + | 8.52560i | −0.203859 | + | 0.353094i | ||||
\(584\) | 1.41484 | 0.0585464 | ||||||||
\(585\) | 2.82954 | + | 0.996835i | 0.116987 | + | 0.0412140i | ||||
\(586\) | −24.1446 | −0.997402 | ||||||||
\(587\) | −14.1759 | + | 24.5535i | −0.585104 | + | 1.01343i | 0.409759 | + | 0.912194i | \(0.365613\pi\) |
−0.994862 | + | 0.101236i | \(0.967720\pi\) | |||||||
\(588\) | −3.09382 | + | 1.14422i | −0.127587 | + | 0.0471868i | ||||
\(589\) | −25.1102 | − | 43.4922i | −1.03465 | − | 1.79206i | ||||
\(590\) | −3.67191 | − | 6.35993i | −0.151170 | − | 0.261834i | ||||
\(591\) | 3.43123 | + | 2.84902i | 0.141142 | + | 0.117193i | ||||
\(592\) | 21.5141 | − | 37.2636i | 0.884226 | − | 1.53152i | ||||
\(593\) | −13.1857 | −0.541470 | −0.270735 | − | 0.962654i | \(-0.587267\pi\) | ||||
−0.270735 | + | 0.962654i | \(0.587267\pi\) | |||||||
\(594\) | −30.0601 | + | 0.466622i | −1.23338 | + | 0.0191457i | ||||
\(595\) | 5.75273 | 0.235839 | ||||||||
\(596\) | 9.73196 | − | 16.8562i | 0.398637 | − | 0.690459i | ||||
\(597\) | −12.2571 | − | 10.1773i | −0.501650 | − | 0.416531i | ||||
\(598\) | 5.07662 | + | 8.79296i | 0.207598 | + | 0.359571i | ||||
\(599\) | 11.4054 | + | 19.7548i | 0.466013 | + | 0.807159i | 0.999247 | − | 0.0388095i | \(-0.0123565\pi\) |
−0.533233 | + | 0.845968i | \(0.679023\pi\) | |||||||
\(600\) | −2.04189 | + | 0.755172i | −0.0833596 | + | 0.0308298i | ||||
\(601\) | 21.1641 | − | 36.6573i | 0.863302 | − | 1.49528i | −0.00542157 | − | 0.999985i | \(-0.501726\pi\) |
0.868723 | − | 0.495297i | \(-0.164941\pi\) | |||||||
\(602\) | −9.82452 | −0.400418 | ||||||||
\(603\) | 12.9709 | − | 11.1146i | 0.528217 | − | 0.452623i | ||||
\(604\) | −15.1329 | −0.615751 | ||||||||
\(605\) | −0.441865 | + | 0.765332i | −0.0179644 | + | 0.0311152i | ||||
\(606\) | 6.75878 | − | 39.5257i | 0.274557 | − | 1.60562i | ||||
\(607\) | 10.9919 | + | 19.0384i | 0.446146 | + | 0.772747i | 0.998131 | − | 0.0611069i | \(-0.0194630\pi\) |
−0.551986 | + | 0.833854i | \(0.686130\pi\) | |||||||
\(608\) | −19.6472 | − | 34.0299i | −0.796798 | − | 1.38009i | ||||
\(609\) | −3.11284 | + | 18.2041i | −0.126139 | + | 0.737666i | ||||
\(610\) | 2.74436 | − | 4.75338i | 0.111116 | − | 0.192459i | ||||
\(611\) | −8.06375 | −0.326224 | ||||||||
\(612\) | −5.89976 | + | 5.05544i | −0.238484 | + | 0.204354i | ||||
\(613\) | −28.1827 | −1.13829 | −0.569145 | − | 0.822237i | \(-0.692726\pi\) | ||||
−0.569145 | + | 0.822237i | \(0.692726\pi\) | |||||||
\(614\) | 28.2202 | − | 48.8788i | 1.13887 | − | 1.97259i | ||||
\(615\) | 3.36221 | − | 1.24348i | 0.135577 | − | 0.0501420i | ||||
\(616\) | −5.81223 | − | 10.0671i | −0.234182 | − | 0.405614i | ||||
\(617\) | 8.42902 | + | 14.5995i | 0.339339 | + | 0.587753i | 0.984309 | − | 0.176455i | \(-0.0564632\pi\) |
−0.644969 | + | 0.764209i | \(0.723130\pi\) | |||||||
\(618\) | 25.2006 | + | 20.9246i | 1.01372 | + | 0.841711i | ||||
\(619\) | −1.14190 | + | 1.97782i | −0.0458967 | + | 0.0794953i | −0.888061 | − | 0.459725i | \(-0.847948\pi\) |
0.842164 | + | 0.539221i | \(0.181281\pi\) | |||||||
\(620\) | −10.7204 | −0.430540 | ||||||||
\(621\) | 28.9990 | − | 0.450152i | 1.16369 | − | 0.0180640i | ||||
\(622\) | −46.1406 | −1.85007 | ||||||||
\(623\) | 3.38354 | − | 5.86046i | 0.135559 | − | 0.234795i | ||||
\(624\) | −6.53559 | − | 5.42664i | −0.261633 | − | 0.217239i | ||||
\(625\) | −0.500000 | − | 0.866025i | −0.0200000 | − | 0.0346410i | ||||
\(626\) | −2.82111 | − | 4.88631i | −0.112754 | − | 0.195296i | ||||
\(627\) | −31.6850 | + | 11.7184i | −1.26538 | + | 0.467987i | ||||
\(628\) | 7.24069 | − | 12.5412i | 0.288935 | − | 0.500450i | ||||
\(629\) | −17.3572 | −0.692077 | ||||||||
\(630\) | −14.9665 | − | 5.27262i | −0.596280 | − | 0.210066i | ||||
\(631\) | −37.7800 | −1.50400 | −0.752000 | − | 0.659163i | \(-0.770911\pi\) | ||||
−0.752000 | + | 0.659163i | \(0.770911\pi\) | |||||||
\(632\) | −9.15743 | + | 15.8611i | −0.364263 | + | 0.630922i | ||||
\(633\) | −2.95737 | + | 17.2949i | −0.117545 | + | 0.687410i | ||||
\(634\) | 3.93620 | + | 6.81770i | 0.156327 | + | 0.270766i | ||||
\(635\) | −10.0193 | − | 17.3540i | −0.397605 | − | 0.688672i | ||||
\(636\) | 1.18284 | − | 6.91729i | 0.0469025 | − | 0.274288i | ||||
\(637\) | −0.727433 | + | 1.25995i | −0.0288220 | + | 0.0499211i | ||||
\(638\) | 21.2165 | 0.839969 | ||||||||
\(639\) | 0.394924 | + | 2.11171i | 0.0156230 | + | 0.0835379i | ||||
\(640\) | 9.45530 | 0.373753 | ||||||||
\(641\) | 0.335000 | − | 0.580236i | 0.0132317 | − | 0.0229180i | −0.859334 | − | 0.511415i | \(-0.829121\pi\) |
0.872565 | + | 0.488497i | \(0.162455\pi\) | |||||||
\(642\) | −53.9806 | + | 19.9642i | −2.13044 | + | 0.787925i | ||||
\(643\) | −15.8896 | − | 27.5216i | −0.626625 | − | 1.08535i | −0.988224 | − | 0.153013i | \(-0.951102\pi\) |
0.361599 | − | 0.932334i | \(-0.382231\pi\) | |||||||
\(644\) | −10.6225 | − | 18.3987i | −0.418585 | − | 0.725011i | ||||
\(645\) | −2.47513 | − | 2.05515i | −0.0974581 | − | 0.0809215i | ||||
\(646\) | −11.0347 | + | 19.1127i | −0.434156 | + | 0.751980i | ||||
\(647\) | 2.41571 | 0.0949715 | 0.0474857 | − | 0.998872i | \(-0.484879\pi\) | ||||
0.0474857 | + | 0.998872i | \(0.484879\pi\) | |||||||
\(648\) | −10.5478 | + | 4.08820i | −0.414355 | + | 0.160600i | ||||
\(649\) | 12.8405 | 0.504033 | ||||||||
\(650\) | 0.909537 | − | 1.57536i | 0.0356750 | − | 0.0617909i | ||||
\(651\) | 31.7324 | + | 26.3481i | 1.24369 | + | 1.03266i | ||||
\(652\) | 6.42385 | + | 11.1264i | 0.251577 | + | 0.435745i | ||||
\(653\) | −9.23529 | − | 15.9960i | −0.361405 | − | 0.625972i | 0.626787 | − | 0.779190i | \(-0.284369\pi\) |
−0.988192 | + | 0.153219i | \(0.951036\pi\) | |||||||
\(654\) | 46.7303 | − | 17.2828i | 1.82730 | − | 0.675810i | ||||
\(655\) | −1.17947 | + | 2.04290i | −0.0460857 | + | 0.0798227i | ||||
\(656\) | −10.1507 | −0.396320 | ||||||||
\(657\) | 0.620773 | + | 3.31935i | 0.0242187 | + | 0.129500i | ||||
\(658\) | 42.6521 | 1.66275 | ||||||||
\(659\) | −23.3833 | + | 40.5010i | −0.910883 | + | 1.57770i | −0.0980634 | + | 0.995180i | \(0.531265\pi\) |
−0.812820 | + | 0.582515i | \(0.802069\pi\) | |||||||
\(660\) | −1.21549 | + | 7.10824i | −0.0473128 | + | 0.276688i | ||||
\(661\) | 9.09998 | + | 15.7616i | 0.353948 | + | 0.613056i | 0.986937 | − | 0.161104i | \(-0.0515056\pi\) |
−0.632989 | + | 0.774161i | \(0.718172\pi\) | |||||||
\(662\) | 1.64516 | + | 2.84951i | 0.0639411 | + | 0.110749i | ||||
\(663\) | −0.577579 | + | 3.37771i | −0.0224313 | + | 0.131180i | ||||
\(664\) | −0.0679339 | + | 0.117665i | −0.00263634 | + | 0.00456628i | ||||
\(665\) | −17.8309 | −0.691454 | ||||||||
\(666\) | 45.1571 | + | 15.9086i | 1.74980 | + | 0.616447i | ||||
\(667\) | −20.4676 | −0.792509 | ||||||||
\(668\) | −2.94840 | + | 5.10679i | −0.114077 | + | 0.197587i | ||||
\(669\) | −22.8072 | + | 8.43503i | −0.881777 | + | 0.326117i | ||||
\(670\) | −5.17878 | − | 8.96990i | −0.200074 | − | 0.346538i | ||||
\(671\) | 4.79846 | + | 8.31117i | 0.185242 | + | 0.320849i | ||||
\(672\) | 24.8286 | + | 20.6157i | 0.957784 | + | 0.795268i | ||||
\(673\) | −24.8617 | + | 43.0616i | −0.958346 | + | 1.65990i | −0.231829 | + | 0.972757i | \(0.574471\pi\) |
−0.726517 | + | 0.687148i | \(0.758862\pi\) | |||||||
\(674\) | 28.6562 | 1.10380 | ||||||||
\(675\) | −2.66761 | − | 4.45913i | −0.102676 | − | 0.171632i | ||||
\(676\) | 1.30903 | 0.0503473 | ||||||||
\(677\) | −8.76931 | + | 15.1889i | −0.337032 | + | 0.583757i | −0.983873 | − | 0.178868i | \(-0.942756\pi\) |
0.646841 | + | 0.762625i | \(0.276090\pi\) | |||||||
\(678\) | −38.8875 | − | 32.2891i | −1.49347 | − | 1.24006i | ||||
\(679\) | −18.8097 | − | 32.5793i | −0.721849 | − | 1.25028i | ||||
\(680\) | −1.24337 | − | 2.15358i | −0.0476810 | − | 0.0825859i | ||||
\(681\) | 27.7538 | − | 10.2645i | 1.06353 | − | 0.393336i | ||||
\(682\) | 23.6914 | − | 41.0347i | 0.907190 | − | 1.57130i | ||||
\(683\) | 0.869524 | 0.0332714 | 0.0166357 | − | 0.999862i | \(-0.494704\pi\) | ||||
0.0166357 | + | 0.999862i | \(0.494704\pi\) | |||||||
\(684\) | 18.2867 | − | 15.6697i | 0.699209 | − | 0.599144i | ||||
\(685\) | −5.27238 | −0.201447 | ||||||||
\(686\) | −14.6651 | + | 25.4007i | −0.559917 | + | 0.969805i | ||||
\(687\) | −4.59858 | + | 26.8927i | −0.175447 | + | 1.02602i | ||||
\(688\) | 4.55483 | + | 7.88920i | 0.173651 | + | 0.300773i | ||||
\(689\) | −1.54758 | − | 2.68049i | −0.0589582 | − | 0.102119i | ||||
\(690\) | 2.96412 | − | 17.3343i | 0.112842 | − | 0.659906i | ||||
\(691\) | −10.8101 | + | 18.7237i | −0.411236 | + | 0.712282i | −0.995025 | − | 0.0996232i | \(-0.968236\pi\) |
0.583789 | + | 0.811906i | \(0.301570\pi\) | |||||||
\(692\) | 30.3727 | 1.15460 | ||||||||
\(693\) | 21.0682 | − | 18.0531i | 0.800316 | − | 0.685781i | ||||
\(694\) | −46.1991 | −1.75369 | ||||||||
\(695\) | −9.48703 | + | 16.4320i | −0.359864 | + | 0.623302i | ||||
\(696\) | 7.48763 | − | 2.76923i | 0.283818 | − | 0.104967i | ||||
\(697\) | 2.04736 | + | 3.54612i | 0.0775491 | + | 0.134319i | ||||
\(698\) | −23.8381 | − | 41.2888i | −0.902286 | − | 1.56280i | ||||
\(699\) | −31.1520 | − | 25.8662i | −1.17828 | − | 0.978348i | ||||
\(700\) | −1.90315 | + | 3.29635i | −0.0719323 | + | 0.124590i | ||||
\(701\) | 20.9223 | 0.790225 | 0.395113 | − | 0.918633i | \(-0.370706\pi\) | ||||
0.395113 | + | 0.918633i | \(0.370706\pi\) | |||||||
\(702\) | 4.59847 | − | 8.25820i | 0.173558 | − | 0.311686i | ||||
\(703\) | 53.7997 | 2.02910 | ||||||||
\(704\) | 2.93770 | − | 5.08825i | 0.110719 | − | 0.191771i | ||||
\(705\) | 10.7455 | + | 8.92222i | 0.404699 | + | 0.336030i | ||||
\(706\) | 28.4025 | + | 49.1946i | 1.06894 | + | 1.85146i | ||||
\(707\) | 18.5034 | + | 32.0488i | 0.695891 | + | 1.20532i | ||||
\(708\) | −8.58505 | + | 3.17510i | −0.322646 | + | 0.119328i | ||||
\(709\) | 6.56161 | − | 11.3650i | 0.246427 | − | 0.426823i | −0.716105 | − | 0.697992i | \(-0.754077\pi\) |
0.962532 | + | 0.271169i | \(0.0874102\pi\) | |||||||
\(710\) | 1.30265 | 0.0488876 | ||||||||
\(711\) | −41.2298 | − | 14.5250i | −1.54624 | − | 0.544732i | ||||
\(712\) | −2.92521 | −0.109627 | ||||||||
\(713\) | −22.8551 | + | 39.5863i | −0.855932 | + | 1.48252i | ||||
\(714\) | 3.05503 | − | 17.8660i | 0.114332 | − | 0.668617i | ||||
\(715\) | 1.59030 | + | 2.75449i | 0.0594740 | + | 0.103012i | ||||
\(716\) | 4.97204 | + | 8.61182i | 0.185814 | + | 0.321839i | ||||
\(717\) | −0.352981 | + | 2.06425i | −0.0131823 | + | 0.0770908i | ||||
\(718\) | −14.2555 | + | 24.6912i | −0.532010 | + | 0.921468i | ||||
\(719\) | 32.1004 | 1.19714 | 0.598571 | − | 0.801069i | \(-0.295735\pi\) | ||||
0.598571 | + | 0.801069i | \(0.295735\pi\) | |||||||
\(720\) | 2.70477 | + | 14.4628i | 0.100801 | + | 0.538995i | ||||
\(721\) | −30.2290 | −1.12579 | ||||||||
\(722\) | 16.9216 | − | 29.3092i | 0.629759 | − | 1.09077i | ||||
\(723\) | 39.8583 | − | 14.7412i | 1.48234 | − | 0.548231i | ||||
\(724\) | 4.48529 | + | 7.76874i | 0.166694 | + | 0.288723i | ||||
\(725\) | 1.83351 | + | 3.17573i | 0.0680948 | + | 0.117944i | ||||
\(726\) | 2.14220 | + | 1.77871i | 0.0795045 | + | 0.0660142i | ||||
\(727\) | 14.3942 | − | 24.9314i | 0.533851 | − | 0.924656i | −0.465368 | − | 0.885118i | \(-0.654078\pi\) |
0.999218 | − | 0.0395387i | \(-0.0125888\pi\) | |||||||
\(728\) | 3.65479 | 0.135456 | ||||||||
\(729\) | −14.2193 | − | 22.9524i | −0.526639 | − | 0.850089i | ||||
\(730\) | 2.04761 | 0.0757854 | ||||||||
\(731\) | 1.83738 | − | 3.18243i | 0.0679578 | − | 0.117706i | ||||
\(732\) | −5.26334 | − | 4.37026i | −0.194538 | − | 0.161529i | ||||
\(733\) | −11.3369 | − | 19.6362i | −0.418740 | − | 0.725278i | 0.577073 | − | 0.816692i | \(-0.304195\pi\) |
−0.995813 | + | 0.0914140i | \(0.970861\pi\) | |||||||
\(734\) | 28.5980 | + | 49.5331i | 1.05557 | + | 1.82830i | ||||
\(735\) | 2.36344 | − | 0.874097i | 0.0871769 | − | 0.0322416i | ||||
\(736\) | −17.8827 | + | 30.9737i | −0.659165 | + | 1.14171i | ||||
\(737\) | 18.1099 | 0.667088 | ||||||||
\(738\) | −2.07630 | − | 11.1022i | −0.0764295 | − | 0.408678i | ||||
\(739\) | −0.143434 | −0.00527631 | −0.00263816 | − | 0.999997i | \(-0.500840\pi\) | ||||
−0.00263816 | + | 0.999997i | \(0.500840\pi\) | |||||||
\(740\) | 5.74221 | − | 9.94580i | 0.211088 | − | 0.365615i | ||||
\(741\) | 1.79024 | − | 10.4694i | 0.0657662 | − | 0.384604i | ||||
\(742\) | 8.18573 | + | 14.1781i | 0.300508 | + | 0.520495i | ||||
\(743\) | 18.7987 | + | 32.5603i | 0.689658 | + | 1.19452i | 0.971948 | + | 0.235194i | \(0.0755726\pi\) |
−0.282290 | + | 0.959329i | \(0.591094\pi\) | |||||||
\(744\) | 3.00511 | − | 17.5740i | 0.110173 | − | 0.644295i | ||||
\(745\) | −7.43448 | + | 12.8769i | −0.272378 | + | 0.471773i | ||||
\(746\) | −52.6288 | −1.92688 | ||||||||
\(747\) | −0.305860 | − | 0.107753i | −0.0111908 | − | 0.00394248i | ||||
\(748\) | −8.23721 | −0.301182 | ||||||||
\(749\) | 26.5576 | − | 45.9991i | 0.970393 | − | 1.68077i | ||||
\(750\) | −2.95510 | + | 1.09292i | −0.107905 | + | 0.0399077i | ||||
\(751\) | 1.99105 | + | 3.44859i | 0.0726543 | + | 0.125841i | 0.900064 | − | 0.435758i | \(-0.143520\pi\) |
−0.827410 | + | 0.561599i | \(0.810186\pi\) | |||||||
\(752\) | −19.7743 | − | 34.2501i | −0.721096 | − | 1.24897i | ||||
\(753\) | −0.609384 | − | 0.505984i | −0.0222072 | − | 0.0184391i | ||||
\(754\) | −3.33529 | + | 5.77689i | −0.121464 | + | 0.210382i | ||||
\(755\) | 11.5604 | 0.420727 | ||||||||
\(756\) | −9.62202 | + | 17.2798i | −0.349949 | + | 0.628459i | ||||
\(757\) | −14.4846 | −0.526450 | −0.263225 | − | 0.964734i | \(-0.584786\pi\) | ||||
−0.263225 | + | 0.964734i | \(0.584786\pi\) | |||||||
\(758\) | −5.95964 | + | 10.3224i | −0.216464 | + | 0.374926i | ||||
\(759\) | 23.6567 | + | 19.6427i | 0.858684 | + | 0.712984i | ||||
\(760\) | 3.85390 | + | 6.67515i | 0.139796 | + | 0.242133i | ||||
\(761\) | −11.0363 | − | 19.1154i | −0.400064 | − | 0.692931i | 0.593669 | − | 0.804709i | \(-0.297679\pi\) |
−0.993733 | + | 0.111778i | \(0.964345\pi\) | |||||||
\(762\) | −59.2163 | + | 21.9006i | −2.14518 | + | 0.793374i | ||||
\(763\) | −22.9906 | + | 39.8208i | −0.832315 | + | 1.44161i | ||||
\(764\) | 11.3414 | 0.410318 | ||||||||
\(765\) | 4.50697 | − | 3.86197i | 0.162950 | − | 0.139630i | ||||
\(766\) | 37.0833 | 1.33988 | ||||||||
\(767\) | −2.01856 | + | 3.49624i | −0.0728859 | + | 0.126242i | ||||
\(768\) | 6.09987 | − | 35.6724i | 0.220110 | − | 1.28722i | ||||
\(769\) | −10.5490 | − | 18.2714i | −0.380408 | − | 0.658885i | 0.610713 | − | 0.791852i | \(-0.290883\pi\) |
−0.991120 | + | 0.132967i | \(0.957550\pi\) | |||||||
\(770\) | −8.41170 | − | 14.5695i | −0.303137 | − | 0.525048i | ||||
\(771\) | 3.88898 | − | 22.7429i | 0.140058 | − | 0.819067i | ||||
\(772\) | −15.6509 | + | 27.1081i | −0.563287 | + | 0.975641i | ||||
\(773\) | 50.8006 | 1.82717 | 0.913585 | − | 0.406647i | \(-0.133302\pi\) | ||||
0.913585 | + | 0.406647i | \(0.133302\pi\) | |||||||
\(774\) | −7.69702 | + | 6.59549i | −0.276664 | + | 0.237070i | ||||
\(775\) | 8.18955 | 0.294177 | ||||||||
\(776\) | −8.13088 | + | 14.0831i | −0.291882 | + | 0.505554i | ||||
\(777\) | −41.4414 | + | 15.3267i | −1.48670 | + | 0.549843i | ||||
\(778\) | 3.98356 | + | 6.89973i | 0.142818 | + | 0.247367i | ||||
\(779\) | −6.34591 | − | 10.9914i | −0.227366 | − | 0.393809i | ||||
\(780\) | −1.74437 | − | 1.44839i | −0.0624586 | − | 0.0518607i | ||||
\(781\) | −1.13883 | + | 1.97251i | −0.0407504 | + | 0.0705818i | ||||
\(782\) | 20.0875 | 0.718326 | ||||||||
\(783\) | 9.78216 | + | 16.3517i | 0.349586 | + | 0.584363i | ||||
\(784\) | −7.13539 | −0.254835 | ||||||||
\(785\) | −5.53134 | + | 9.58056i | −0.197422 | + | 0.341945i | ||||
\(786\) | 5.71817 | + | 4.74792i | 0.203960 | + | 0.169353i | ||||
\(787\) | 14.5258 | + | 25.1595i | 0.517789 | + | 0.896838i | 0.999786 | + | 0.0206647i | \(0.00657826\pi\) |
−0.481997 | + | 0.876173i | \(0.660088\pi\) | |||||||
\(788\) | −1.68531 | − | 2.91904i | −0.0600365 | − | 0.103986i | ||||
\(789\) | 37.6137 | − | 13.9111i | 1.33908 | − | 0.495248i | ||||
\(790\) | −13.2530 | + | 22.9549i | −0.471521 | + | 0.816699i | ||||
\(791\) | 46.6470 | 1.65857 | ||||||||
\(792\) | −11.3119 | − | 3.98513i | −0.401951 | − | 0.141606i | ||||
\(793\) | −3.01732 | −0.107148 | ||||||||
\(794\) | 15.5301 | − | 26.8990i | 0.551144 | − | 0.954610i | ||||
\(795\) | −0.903597 | + | 5.28428i | −0.0320473 | + | 0.187414i | ||||
\(796\) | 6.02029 | + | 10.4275i | 0.213384 | + | 0.369591i | ||||
\(797\) | 5.94043 | + | 10.2891i | 0.210421 | + | 0.364459i | 0.951846 | − | 0.306576i | \(-0.0991833\pi\) |
−0.741426 | + | 0.671035i | \(0.765850\pi\) | |||||||
\(798\) | −9.46925 | + | 55.3767i | −0.335208 | + | 1.96031i | ||||
\(799\) | −7.97678 | + | 13.8162i | −0.282198 | + | 0.488782i | ||||
\(800\) | 6.40780 | 0.226550 | ||||||||
\(801\) | −1.28346 | − | 6.86285i | −0.0453490 | − | 0.242487i | ||||
\(802\) | 7.58784 | 0.267936 | ||||||||
\(803\) | −1.79010 | + | 3.10054i | −0.0631712 | + | 0.109416i | ||||
\(804\) | −12.1082 | + | 4.47809i | −0.427022 | + | 0.157930i | ||||
\(805\) | 8.11479 | + | 14.0552i | 0.286009 | + | 0.495382i | ||||
\(806\) | 7.44869 | + | 12.9015i | 0.262369 | + | 0.454437i | ||||
\(807\) | 21.6407 | + | 17.9687i | 0.761789 | + | 0.632529i | ||||
\(808\) | 7.99847 | − | 13.8538i | 0.281385 | − | 0.487373i | ||||
\(809\) | −3.96416 | −0.139372 | −0.0696862 | − | 0.997569i | \(-0.522200\pi\) | ||||
−0.0696862 | + | 0.997569i | \(0.522200\pi\) | |||||||
\(810\) | −15.2652 | + | 5.91661i | −0.536363 | + | 0.207888i | ||||
\(811\) | −34.5850 | −1.21444 | −0.607222 | − | 0.794532i | \(-0.707716\pi\) | ||||
−0.607222 | + | 0.794532i | \(0.707716\pi\) | |||||||
\(812\) | 6.97888 | − | 12.0878i | 0.244911 | − | 0.424198i | ||||
\(813\) | 38.7591 | + | 32.1825i | 1.35934 | + | 1.12869i | ||||
\(814\) | 25.3799 | + | 43.9593i | 0.889565 | + | 1.54077i | ||||
\(815\) | −4.90734 | − | 8.49976i | −0.171897 | − | 0.297734i | ||||
\(816\) | −15.7629 | + | 5.82978i | −0.551813 | + | 0.204083i | ||||
\(817\) | −5.69507 | + | 9.86414i | −0.199245 | + | 0.345103i | ||||
\(818\) | −23.2625 | −0.813354 | ||||||||
\(819\) | 1.60358 | + | 8.57452i | 0.0560335 | + | 0.299618i | ||||
\(820\) | −2.70927 | −0.0946119 | ||||||||
\(821\) | −9.97836 | + | 17.2830i | −0.348247 | + | 0.603182i | −0.985938 | − | 0.167111i | \(-0.946556\pi\) |
0.637691 | + | 0.770292i | \(0.279890\pi\) | |||||||
\(822\) | −2.79993 | + | 16.3742i | −0.0976589 | + | 0.571115i | ||||
\(823\) | −14.6620 | − | 25.3953i | −0.511086 | − | 0.885226i | −0.999917 | − | 0.0128482i | \(-0.995910\pi\) |
0.488832 | − | 0.872378i | \(-0.337423\pi\) | |||||||
\(824\) | 6.53356 | + | 11.3165i | 0.227607 | + | 0.394228i | ||||
\(825\) | 0.928541 | − | 5.43016i | 0.0323276 | − | 0.189054i | ||||
\(826\) | 10.6769 | − | 18.4929i | 0.371497 | − | 0.643451i | ||||
\(827\) | 8.79948 | 0.305988 | 0.152994 | − | 0.988227i | \(-0.451109\pi\) | ||||
0.152994 | + | 0.988227i | \(0.451109\pi\) | |||||||
\(828\) | −20.6738 | − | 7.28328i | −0.718464 | − | 0.253111i | ||||
\(829\) | 19.9330 | 0.692301 | 0.346151 | − | 0.938179i | \(-0.387489\pi\) | ||||
0.346151 | + | 0.938179i | \(0.387489\pi\) | |||||||
\(830\) | −0.0983167 | + | 0.170289i | −0.00341262 | + | 0.00591083i | ||||
\(831\) | 22.9364 | − | 8.48283i | 0.795656 | − | 0.294266i | ||||
\(832\) | 0.923629 | + | 1.59977i | 0.0320211 | + | 0.0554622i | ||||
\(833\) | 1.43917 | + | 2.49272i | 0.0498645 | + | 0.0863678i | ||||
\(834\) | 45.9940 | + | 38.1898i | 1.59264 | + | 1.32240i | ||||
\(835\) | 2.25236 | − | 3.90120i | 0.0779460 | − | 0.135007i | ||||
\(836\) | 25.5318 | 0.883035 | ||||||||
\(837\) | 42.5490 | − | 0.660487i | 1.47071 | − | 0.0228298i | ||||
\(838\) | −2.91578 | −0.100724 | ||||||||
\(839\) | −12.0692 | + | 20.9044i | −0.416674 | + | 0.721701i | −0.995603 | − | 0.0936773i | \(-0.970138\pi\) |
0.578928 | + | 0.815379i | \(0.303471\pi\) | |||||||
\(840\) | −4.87027 | − | 4.04389i | −0.168040 | − | 0.139527i | ||||
\(841\) | 7.77650 | + | 13.4693i | 0.268155 | + | 0.464458i | ||||
\(842\) | 18.6488 | + | 32.3006i | 0.642679 | + | 1.11315i | ||||
\(843\) | 34.3868 | − | 12.7176i | 1.18434 | − | 0.438018i | ||||
\(844\) | 6.63032 | − | 11.4841i | 0.228225 | − | 0.395298i | ||||
\(845\) | −1.00000 | −0.0344010 | ||||||||
\(846\) | 33.4158 | − | 28.6336i | 1.14886 | − | 0.984444i | ||||
\(847\) | −2.56964 | −0.0882940 | ||||||||
\(848\) | 7.59012 | − | 13.1465i | 0.260646 | − | 0.451452i | ||||
\(849\) | 5.02118 | − | 29.3641i | 0.172326 | − | 1.00777i | ||||
\(850\) | −1.79945 | − | 3.11675i | −0.0617208 | − | 0.106904i | ||||
\(851\) | −24.4841 | − | 42.4076i | −0.839303 | − | 1.45371i | ||||
\(852\) | 0.273664 | − | 1.60040i | 0.00937559 | − | 0.0548289i | ||||
\(853\) | −6.23323 | + | 10.7963i | −0.213422 | + | 0.369657i | −0.952783 | − | 0.303651i | \(-0.901794\pi\) |
0.739361 | + | 0.673309i | \(0.235127\pi\) | |||||||
\(854\) | 15.9597 | 0.546130 | ||||||||
\(855\) | −13.9696 | + | 11.9704i | −0.477752 | + | 0.409380i | ||||
\(856\) | −22.9601 | −0.784762 | ||||||||
\(857\) | −6.62425 | + | 11.4735i | −0.226280 | + | 0.391929i | −0.956703 | − | 0.291067i | \(-0.905990\pi\) |
0.730423 | + | 0.682996i | \(0.239323\pi\) | |||||||
\(858\) | 9.39902 | − | 3.47614i | 0.320877 | − | 0.118673i | ||||
\(859\) | −3.05398 | − | 5.28965i | −0.104200 | − | 0.180480i | 0.809211 | − | 0.587518i | \(-0.199895\pi\) |
−0.913411 | + | 0.407038i | \(0.866562\pi\) | |||||||
\(860\) | 1.21570 | + | 2.10566i | 0.0414551 | + | 0.0718024i | ||||
\(861\) | 8.01948 | + | 6.65874i | 0.273303 | + | 0.226929i | ||||
\(862\) | −31.1513 | + | 53.9556i | −1.06102 | + | 1.83773i | ||||
\(863\) | 38.1347 | 1.29812 | 0.649061 | − | 0.760737i | \(-0.275162\pi\) | ||||
0.649061 | + | 0.760737i | \(0.275162\pi\) | |||||||
\(864\) | 33.2919 | − | 0.516789i | 1.13261 | − | 0.0175815i | ||||
\(865\) | −23.2024 | −0.788906 | ||||||||
\(866\) | 8.76735 | − | 15.1855i | 0.297927 | − | 0.516024i | ||||
\(867\) | −17.4378 | − | 14.4789i | −0.592218 | − | 0.491731i | ||||
\(868\) | −15.5859 | − | 26.9956i | −0.529021 | − | 0.916291i | ||||
\(869\) | −23.1726 | − | 40.1361i | −0.786076 | − | 1.36152i | ||||
\(870\) | 10.8364 | − | 4.00774i | 0.367389 | − | 0.135875i | ||||
\(871\) | −2.84693 | + | 4.93103i | −0.0964646 | + | 0.167082i | ||||
\(872\) | 19.8763 | 0.673097 | ||||||||
\(873\) | −36.6079 | − | 12.8968i | −1.23899 | − | 0.436490i | ||||
\(874\) | −62.2623 | −2.10605 | ||||||||
\(875\) | 1.45386 | − | 2.51816i | 0.0491495 | − | 0.0851295i | ||||
\(876\) | 0.430167 | − | 2.51564i | 0.0145340 | − | 0.0849957i | ||||
\(877\) | −13.6611 | − | 23.6617i | −0.461302 | − | 0.798999i | 0.537724 | − | 0.843121i | \(-0.319284\pi\) |
−0.999026 | + | 0.0441220i | \(0.985951\pi\) | |||||||
\(878\) | 5.31507 | + | 9.20597i | 0.179375 | + | 0.310687i | ||||
\(879\) | 3.87489 | − | 22.6606i | 0.130697 | − | 0.764323i | ||||
\(880\) | −7.79965 | + | 13.5094i | −0.262926 | + | 0.455401i | ||||
\(881\) | −22.5860 | −0.760943 | −0.380471 | − | 0.924793i | \(-0.624238\pi\) | ||||
−0.380471 | + | 0.924793i | \(0.624238\pi\) | |||||||
\(882\) | −1.45952 | − | 7.80422i | −0.0491445 | − | 0.262782i | ||||
\(883\) | −50.3248 | −1.69356 | −0.846782 | − | 0.531939i | \(-0.821463\pi\) | ||||
−0.846782 | + | 0.531939i | \(0.821463\pi\) | |||||||
\(884\) | 1.29491 | − | 2.24285i | 0.0435526 | − | 0.0754353i | ||||
\(885\) | 6.55833 | − | 2.42554i | 0.220456 | − | 0.0815335i | ||||
\(886\) | 33.1028 | + | 57.3358i | 1.11211 | + | 1.92623i | ||||
\(887\) | −3.58927 | − | 6.21680i | −0.120516 | − | 0.208740i | 0.799455 | − | 0.600725i | \(-0.205122\pi\) |
−0.919971 | + | 0.391986i | \(0.871788\pi\) | |||||||
\(888\) | 14.6946 | + | 12.2013i | 0.493120 | + | 0.409448i | ||||
\(889\) | 29.1335 | − | 50.4606i | 0.977105 | − | 1.69240i | ||||
\(890\) | −4.23349 | −0.141907 | ||||||||
\(891\) | 4.38632 | − | 28.2874i | 0.146947 | − | 0.947664i | ||||
\(892\) | 18.3781 | 0.615343 | ||||||||
\(893\) | 24.7245 | − | 42.8241i | 0.827375 | − | 1.43306i | ||||
\(894\) | 36.0430 | + | 29.9273i | 1.20546 | + | 1.00092i | ||||
\(895\) | −3.79826 | − | 6.57878i | −0.126962 | − | 0.219904i | ||||
\(896\) | 13.7467 | + | 23.8100i | 0.459245 | + | 0.795436i | ||||
\(897\) | −9.06726 | + | 3.35344i | −0.302747 | + | 0.111968i | ||||
\(898\) | 25.1576 | − | 43.5743i | 0.839520 | − | 1.45409i | ||||
\(899\) | −30.0312 | −1.00160 | ||||||||
\(900\) | 0.721914 | + | 3.86017i | 0.0240638 | + | 0.128672i | ||||
\(901\) | −6.12357 | −0.204006 | ||||||||
\(902\) | 5.98733 | − | 10.3704i | 0.199356 | − | 0.345295i | ||||
\(903\) | 1.57671 | − | 9.22069i | 0.0524696 | − | 0.306845i | ||||
\(904\) | −10.0821 | − | 17.4626i | −0.335324 | − | 0.580799i | ||||
\(905\) | −3.42642 | − | 5.93473i | −0.113898 | − | 0.197277i | ||||
\(906\) | 6.13924 | − | 35.9026i | 0.203963 | − | 1.19279i | ||||
\(907\) | −3.49203 | + | 6.04837i | −0.115951 | + | 0.200833i | −0.918159 | − | 0.396211i | \(-0.870325\pi\) |
0.802209 | + | 0.597044i | \(0.203658\pi\) | |||||||
\(908\) | −22.3641 | −0.742177 | ||||||||
\(909\) | 36.0117 | + | 12.6868i | 1.19443 | + | 0.420793i | ||||
\(910\) | 5.28937 | 0.175341 | ||||||||
\(911\) | 19.2461 | − | 33.3352i | 0.637652 | − | 1.10445i | −0.348295 | − | 0.937385i | \(-0.613239\pi\) |
0.985947 | − | 0.167060i | \(-0.0534275\pi\) | |||||||
\(912\) | 48.8582 | − | 18.0698i | 1.61786 | − | 0.598350i | ||||
\(913\) | −0.171904 | − | 0.297747i | −0.00568921 | − | 0.00985399i | ||||
\(914\) | −14.4020 | − | 24.9450i | −0.476375 | − | 0.825106i | ||||
\(915\) | 4.02079 | + | 3.33855i | 0.132923 | + | 0.110369i | ||||
\(916\) | 10.3099 | − | 17.8572i | 0.340647 | − | 0.590018i | ||||
\(917\) | −6.85914 | −0.226509 | ||||||||
\(918\) | −9.60048 | − | 16.0480i | −0.316863 | − | 0.529663i | ||||
\(919\) | 41.3551 | 1.36418 | 0.682089 | − | 0.731269i | \(-0.261072\pi\) | ||||
0.682089 | + | 0.731269i | \(0.261072\pi\) | |||||||
\(920\) | 3.50779 | − | 6.07567i | 0.115648 | − | 0.200309i | ||||
\(921\) | 41.3457 | + | 34.3302i | 1.36239 | + | 1.13122i | ||||
\(922\) | −11.9879 | − | 20.7636i | −0.394799 | − | 0.683812i | ||||
\(923\) | −0.358053 | − | 0.620167i | −0.0117855 | − | 0.0204130i | ||||
\(924\) | −19.6669 | + | 7.27361i | −0.646993 | + | 0.239284i | ||||
\(925\) | −4.38661 | + | 7.59784i | −0.144231 | + | 0.249815i | ||||
\(926\) | 42.1610 | 1.38550 | ||||||||
\(927\) | −23.6829 | + | 20.2936i | −0.777849 | + | 0.666530i | ||||
\(928\) | −23.4975 | −0.771343 | ||||||||
\(929\) | 4.08864 | − | 7.08174i | 0.134144 | − | 0.232344i | −0.791126 | − | 0.611653i | \(-0.790505\pi\) |
0.925270 | + | 0.379309i | \(0.123838\pi\) | |||||||
\(930\) | 4.34912 | − | 25.4339i | 0.142613 | − | 0.834009i | ||||
\(931\) | −4.46081 | − | 7.72636i | −0.146197 | − | 0.253221i | ||||
\(932\) | 15.3008 | + | 26.5018i | 0.501196 | + | 0.868097i | ||||
\(933\) | 7.40498 | − | 43.3047i | 0.242428 | − | 1.41773i | ||||
\(934\) | −18.4184 | + | 31.9016i | −0.602668 | + | 1.04385i | ||||
\(935\) | 6.29261 | 0.205790 | ||||||||
\(936\) | 2.86335 | − | 2.45357i | 0.0935914 | − | 0.0801974i | ||||
\(937\) | −15.3840 | −0.502573 | −0.251286 | − | 0.967913i | \(-0.580854\pi\) | ||||
−0.251286 | + | 0.967913i | \(0.580854\pi\) | |||||||
\(938\) | 15.0585 | − | 26.0820i | 0.491676 | − | 0.851608i | ||||
\(939\) | 5.03874 | − | 1.86353i | 0.164433 | − | 0.0608140i | ||||
\(940\) | −5.27785 | − | 9.14150i | −0.172144 | − | 0.298163i | ||||
\(941\) | 12.2527 | + | 21.2223i | 0.399427 | + | 0.691828i | 0.993655 | − | 0.112468i | \(-0.0358757\pi\) |
−0.594228 | + | 0.804297i | \(0.702542\pi\) | |||||||
\(942\) | 26.8164 | + | 22.2662i | 0.873726 | + | 0.725473i | ||||
\(943\) | −5.77600 | + | 10.0043i | −0.188092 | + | 0.325785i | ||||
\(944\) | −19.8000 | −0.644436 | ||||||||
\(945\) | 7.35049 | − | 13.2004i | 0.239112 | − | 0.429410i | ||||
\(946\) | −10.7465 | −0.349400 | ||||||||
\(947\) | −4.98496 | + | 8.63420i | −0.161989 | + | 0.280574i | −0.935582 | − | 0.353109i | \(-0.885124\pi\) |
0.773593 | + | 0.633683i | \(0.218458\pi\) | |||||||
\(948\) | 25.4176 | + | 21.1047i | 0.825525 | + | 0.685450i | ||||
\(949\) | −0.562817 | − | 0.974827i | −0.0182698 | − | 0.0316442i | ||||
\(950\) | 5.57752 | + | 9.66055i | 0.180959 | + | 0.313430i | ||||
\(951\) | −7.03039 | + | 2.60012i | −0.227976 | + | 0.0843147i | ||||
\(952\) | 3.61537 | − | 6.26201i | 0.117175 | − | 0.202953i | ||||
\(953\) | 37.3529 | 1.20998 | 0.604989 | − | 0.796234i | \(-0.293178\pi\) | ||||
0.604989 | + | 0.796234i | \(0.293178\pi\) | |||||||
\(954\) | 15.9313 | + | 5.61251i | 0.515794 | + | 0.181712i | ||||
\(955\) | −8.66399 | −0.280360 | ||||||||
\(956\) | 0.791370 | − | 1.37069i | 0.0255947 | − | 0.0443314i | ||||
\(957\) | −3.40497 | + | 19.9125i | −0.110067 | + | 0.643679i | ||||
\(958\) | 27.2886 | + | 47.2653i | 0.881656 | + | 1.52707i | ||||
\(959\) | −7.66531 | − | 13.2767i | −0.247526 | − | 0.428727i | ||||
\(960\) | 0.539285 | − | 3.15377i | 0.0174054 | − | 0.101787i | ||||
\(961\) | −18.0343 | + | 31.2364i | −0.581752 | + | 1.00762i | ||||
\(962\) | −15.9591 | −0.514543 | ||||||||
\(963\) | −10.0740 | − | 53.8668i | −0.324630 | − | 1.73583i | ||||
\(964\) | −32.1178 | −1.03445 | ||||||||
\(965\) | 11.9561 | − | 20.7085i | 0.384880 | − | 0.666631i | ||||
\(966\) | 47.9601 | − | 17.7376i | 1.54309 | − | 0.570697i | ||||
\(967\) | −5.72260 | − | 9.91183i | −0.184026 | − | 0.318743i | 0.759222 | − | 0.650832i | \(-0.225580\pi\) |
−0.943248 | + | 0.332089i | \(0.892247\pi\) | |||||||
\(968\) | 0.555391 | + | 0.961965i | 0.0178509 | + | 0.0309187i | ||||
\(969\) | −16.1671 | − | 13.4239i | −0.519362 | − | 0.431237i | ||||
\(970\) | −11.7673 | + | 20.3816i | −0.377827 | + | 0.654415i | ||||
\(971\) | −10.3317 | −0.331559 | −0.165780 | − | 0.986163i | \(-0.553014\pi\) | ||||
−0.165780 | + | 0.986163i | \(0.553014\pi\) | |||||||
\(972\) | 4.06205 | + | 19.9974i | 0.130290 | + | 0.641416i | ||||
\(973\) | −55.1714 | −1.76871 | ||||||||
\(974\) | −22.3789 | + | 38.7613i | −0.717065 | + | 1.24199i | ||||
\(975\) | 1.33257 | + | 1.10646i | 0.0426764 | + | 0.0354351i | ||||
\(976\) | −7.39922 | − | 12.8158i | −0.236843 | − | 0.410225i | ||||
\(977\) | 18.0603 | + | 31.2814i | 0.577800 | + | 1.00078i | 0.995731 | + | 0.0923007i | \(0.0294221\pi\) |
−0.417931 | + | 0.908479i | \(0.637245\pi\) | |||||||
\(978\) | −29.0034 | + | 10.7266i | −0.927425 | + | 0.343000i | ||||
\(979\) | 3.70108 | − | 6.41045i | 0.118287 | − | 0.204879i | ||||
\(980\) | −1.90446 | −0.0608359 | ||||||||
\(981\) | 8.72092 | + | 46.6319i | 0.278438 | + | 1.48884i | ||||
\(982\) | 48.0398 | 1.53301 | ||||||||
\(983\) | 9.93766 | − | 17.2125i | 0.316962 | − | 0.548994i | −0.662891 | − | 0.748716i | \(-0.730671\pi\) |
0.979853 | + | 0.199722i | \(0.0640039\pi\) | |||||||
\(984\) | 0.759457 | − | 4.44135i | 0.0242106 | − | 0.141585i | ||||
\(985\) | 1.28745 | + | 2.22992i | 0.0410214 | + | 0.0710512i | ||||
\(986\) | 6.59863 | + | 11.4292i | 0.210143 | + | 0.363979i | ||||
\(987\) | −6.84512 | + | 40.0307i | −0.217883 | + | 1.27419i | ||||
\(988\) | −4.01366 | + | 6.95186i | −0.127692 | + | 0.221168i | ||||
\(989\) | 10.3672 | 0.329658 | ||||||||
\(990\) | −16.3711 | − | 5.76745i | −0.520307 | − | 0.183302i | ||||
\(991\) | 37.6190 | 1.19501 | 0.597504 | − | 0.801866i | \(-0.296159\pi\) | ||||
0.597504 | + | 0.801866i | \(0.296159\pi\) | |||||||
\(992\) | −26.2385 | + | 45.4464i | −0.833072 | + | 1.44292i | ||||
\(993\) | −2.93840 | + | 1.08674i | −0.0932472 | + | 0.0344866i | ||||
\(994\) | 1.89388 | + | 3.28029i | 0.0600701 | + | 0.104044i | ||||
\(995\) | −4.59905 | − | 7.96579i | −0.145800 | − | 0.252532i | ||||
\(996\) | 0.188559 | + | 0.156564i | 0.00597471 | + | 0.00496093i | ||||
\(997\) | 28.1458 | − | 48.7499i | 0.891386 | − | 1.54393i | 0.0531718 | − | 0.998585i | \(-0.483067\pi\) |
0.838214 | − | 0.545341i | \(-0.183600\pi\) | |||||||
\(998\) | 45.2978 | 1.43388 | ||||||||
\(999\) | −22.1780 | + | 39.8285i | −0.701681 | + | 1.26012i |
(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 | 585.2.i.h.196.12 | ✓ | 30 | |
3.2 | odd | 2 | 1755.2.i.h.586.4 | 30 | |||
9.2 | odd | 6 | 5265.2.a.bl.1.12 | 15 | |||
9.4 | even | 3 | inner | 585.2.i.h.391.12 | yes | 30 | |
9.5 | odd | 6 | 1755.2.i.h.1171.4 | 30 | |||
9.7 | even | 3 | 5265.2.a.bk.1.4 | 15 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
585.2.i.h.196.12 | ✓ | 30 | 1.1 | even | 1 | trivial | |
585.2.i.h.391.12 | yes | 30 | 9.4 | even | 3 | inner | |
1755.2.i.h.586.4 | 30 | 3.2 | odd | 2 | |||
1755.2.i.h.1171.4 | 30 | 9.5 | odd | 6 | |||
5265.2.a.bk.1.4 | 15 | 9.7 | even | 3 | |||
5265.2.a.bl.1.12 | 15 | 9.2 | odd | 6 |