Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(185,546)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(546, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 1, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.185");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.u (of order \(6\), 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: | \(4.35983195036\) |
Analytic rank: | \(0\) |
Dimension: | \(76\) |
Relative dimension: | \(38\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 185.6 | ||
Character | \(\chi\) | \(=\) | 546.185 |
Dual form | 546.2.u.a.425.6 |
$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.866025 | − | 0.500000i | −0.612372 | − | 0.353553i | ||||
\(3\) | −1.18075 | − | 1.26722i | −0.681704 | − | 0.731628i | ||||
\(4\) | 0.500000 | + | 0.866025i | 0.250000 | + | 0.433013i | ||||
\(5\) | 0.386492 | + | 0.669424i | 0.172845 | + | 0.299376i | 0.939413 | − | 0.342787i | \(-0.111371\pi\) |
−0.766569 | + | 0.642162i | \(0.778038\pi\) | |||||||
\(6\) | 0.388948 | + | 1.68782i | 0.158787 | + | 0.689048i | ||||
\(7\) | 0.662023 | − | 2.56159i | 0.250221 | − | 0.968189i | ||||
\(8\) | − | 1.00000i | − | 0.353553i | ||||||
\(9\) | −0.211678 | + | 2.99252i | −0.0705592 | + | 0.997508i | ||||
\(10\) | − | 0.772984i | − | 0.244439i | ||||||
\(11\) | − | 2.70245i | − | 0.814818i | −0.913246 | − | 0.407409i | \(-0.866432\pi\) | ||
0.913246 | − | 0.407409i | \(-0.133568\pi\) | |||||||
\(12\) | 0.507069 | − | 1.65616i | 0.146378 | − | 0.478094i | ||||
\(13\) | 3.14302 | + | 1.76675i | 0.871717 | + | 0.490009i | ||||
\(14\) | −1.85412 | + | 1.88739i | −0.495535 | + | 0.504425i | ||||
\(15\) | 0.391956 | − | 1.28019i | 0.101203 | − | 0.330543i | ||||
\(16\) | −0.500000 | + | 0.866025i | −0.125000 | + | 0.216506i | ||||
\(17\) | 1.32378 | + | 2.29285i | 0.321063 | + | 0.556097i | 0.980708 | − | 0.195480i | \(-0.0626265\pi\) |
−0.659645 | + | 0.751578i | \(0.729293\pi\) | |||||||
\(18\) | 1.67958 | − | 2.48576i | 0.395881 | − | 0.585900i | ||||
\(19\) | − | 4.67151i | − | 1.07172i | −0.844308 | − | 0.535859i | \(-0.819988\pi\) | ||
0.844308 | − | 0.535859i | \(-0.180012\pi\) | |||||||
\(20\) | −0.386492 | + | 0.669424i | −0.0864223 | + | 0.149688i | ||||
\(21\) | −4.02777 | + | 2.18566i | −0.878931 | + | 0.476949i | ||||
\(22\) | −1.35122 | + | 2.34039i | −0.288082 | + | 0.498972i | ||||
\(23\) | −4.66390 | − | 2.69271i | −0.972491 | − | 0.561468i | −0.0724962 | − | 0.997369i | \(-0.523097\pi\) |
−0.899995 | + | 0.435901i | \(0.856430\pi\) | |||||||
\(24\) | −1.26722 | + | 1.18075i | −0.258670 | + | 0.241019i | ||||
\(25\) | 2.20125 | − | 3.81267i | 0.440250 | − | 0.762535i | ||||
\(26\) | −1.83856 | − | 3.10156i | −0.360571 | − | 0.608267i | ||||
\(27\) | 4.04211 | − | 3.26517i | 0.777905 | − | 0.628382i | ||||
\(28\) | 2.54941 | − | 0.707464i | 0.481793 | − | 0.133698i | ||||
\(29\) | 4.22905 | − | 2.44165i | 0.785316 | − | 0.453402i | −0.0529953 | − | 0.998595i | \(-0.516877\pi\) |
0.838311 | + | 0.545193i | \(0.183543\pi\) | |||||||
\(30\) | −0.979539 | + | 0.912698i | −0.178839 | + | 0.166635i | ||||
\(31\) | −3.24180 | − | 1.87166i | −0.582245 | − | 0.336159i | 0.179780 | − | 0.983707i | \(-0.442461\pi\) |
−0.762025 | + | 0.647547i | \(0.775795\pi\) | |||||||
\(32\) | 0.866025 | − | 0.500000i | 0.153093 | − | 0.0883883i | ||||
\(33\) | −3.42459 | + | 3.19090i | −0.596144 | + | 0.555465i | ||||
\(34\) | − | 2.64755i | − | 0.454052i | ||||||
\(35\) | 1.97065 | − | 0.546859i | 0.333101 | − | 0.0924360i | ||||
\(36\) | −2.69744 | + | 1.31294i | −0.449573 | + | 0.218824i | ||||
\(37\) | −2.28416 | + | 3.95628i | −0.375514 | + | 0.650409i | −0.990404 | − | 0.138204i | \(-0.955867\pi\) |
0.614890 | + | 0.788613i | \(0.289200\pi\) | |||||||
\(38\) | −2.33575 | + | 4.04565i | −0.378909 | + | 0.656290i | ||||
\(39\) | −1.47225 | − | 6.06898i | −0.235749 | − | 0.971814i | ||||
\(40\) | 0.669424 | − | 0.386492i | 0.105845 | − | 0.0611098i | ||||
\(41\) | −4.90014 | − | 8.48729i | −0.765273 | − | 1.32549i | −0.940102 | − | 0.340894i | \(-0.889270\pi\) |
0.174829 | − | 0.984599i | \(-0.444063\pi\) | |||||||
\(42\) | 4.58098 | + | 0.121050i | 0.706860 | + | 0.0186785i | ||||
\(43\) | −5.66191 | + | 9.80672i | −0.863434 | + | 1.49551i | 0.00516013 | + | 0.999987i | \(0.498357\pi\) |
−0.868594 | + | 0.495525i | \(0.834976\pi\) | |||||||
\(44\) | 2.34039 | − | 1.35122i | 0.352827 | − | 0.203705i | ||||
\(45\) | −2.08508 | + | 1.01488i | −0.310825 | + | 0.151290i | ||||
\(46\) | 2.69271 | + | 4.66390i | 0.397018 | + | 0.687655i | ||||
\(47\) | −2.63336 | − | 4.56112i | −0.384116 | − | 0.665308i | 0.607530 | − | 0.794296i | \(-0.292160\pi\) |
−0.991646 | + | 0.128989i | \(0.958827\pi\) | |||||||
\(48\) | 1.68782 | − | 0.388948i | 0.243615 | − | 0.0561397i | ||||
\(49\) | −6.12345 | − | 3.39166i | −0.874779 | − | 0.484523i | ||||
\(50\) | −3.81267 | + | 2.20125i | −0.539193 | + | 0.311303i | ||||
\(51\) | 1.34249 | − | 4.38478i | 0.187987 | − | 0.613993i | ||||
\(52\) | 0.0414579 | + | 3.60531i | 0.00574918 | + | 0.499967i | ||||
\(53\) | −3.16257 | − | 1.82591i | −0.434413 | − | 0.250808i | 0.266812 | − | 0.963749i | \(-0.414030\pi\) |
−0.701225 | + | 0.712940i | \(0.747363\pi\) | |||||||
\(54\) | −5.13316 | + | 0.806662i | −0.698534 | + | 0.109773i | ||||
\(55\) | 1.80908 | − | 1.04447i | 0.243937 | − | 0.140837i | ||||
\(56\) | −2.56159 | − | 0.662023i | −0.342306 | − | 0.0884666i | ||||
\(57\) | −5.91981 | + | 5.51587i | −0.784099 | + | 0.730594i | ||||
\(58\) | −4.88329 | −0.641207 | ||||||||
\(59\) | −5.61242 | − | 9.72100i | −0.730675 | − | 1.26557i | −0.956595 | − | 0.291420i | \(-0.905872\pi\) |
0.225920 | − | 0.974146i | \(-0.427461\pi\) | |||||||
\(60\) | 1.30465 | − | 0.300650i | 0.168430 | − | 0.0388138i | ||||
\(61\) | − | 13.0175i | − | 1.66672i | −0.552731 | − | 0.833359i | \(-0.686414\pi\) | ||
0.552731 | − | 0.833359i | \(-0.313586\pi\) | |||||||
\(62\) | 1.87166 | + | 3.24180i | 0.237701 | + | 0.411710i | ||||
\(63\) | 7.52547 | + | 2.52335i | 0.948120 | + | 0.317912i | ||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | 0.0320463 | + | 2.78685i | 0.00397486 | + | 0.345666i | ||||
\(66\) | 4.56123 | − | 1.05111i | 0.561448 | − | 0.129383i | ||||
\(67\) | −6.94137 | −0.848023 | −0.424011 | − | 0.905657i | \(-0.639378\pi\) | ||||
−0.424011 | + | 0.905657i | \(0.639378\pi\) | |||||||
\(68\) | −1.32378 | + | 2.29285i | −0.160532 | + | 0.278049i | ||||
\(69\) | 2.09464 | + | 9.08958i | 0.252165 | + | 1.09426i | ||||
\(70\) | −1.98007 | − | 0.511734i | −0.236663 | − | 0.0611639i | ||||
\(71\) | 9.71163 | + | 5.60701i | 1.15256 | + | 0.665430i | 0.949509 | − | 0.313739i | \(-0.101582\pi\) |
0.203049 | + | 0.979169i | \(0.434915\pi\) | |||||||
\(72\) | 2.99252 | + | 0.211678i | 0.352672 | + | 0.0249465i | ||||
\(73\) | 8.99614 | + | 5.19392i | 1.05292 | + | 0.607903i | 0.923465 | − | 0.383683i | \(-0.125344\pi\) |
0.129453 | + | 0.991586i | \(0.458678\pi\) | |||||||
\(74\) | 3.95628 | − | 2.28416i | 0.459909 | − | 0.265528i | ||||
\(75\) | −7.43060 | + | 1.71234i | −0.858012 | + | 0.197724i | ||||
\(76\) | 4.04565 | − | 2.33575i | 0.464067 | − | 0.267929i | ||||
\(77\) | −6.92255 | − | 1.78908i | −0.788898 | − | 0.203885i | ||||
\(78\) | −1.75948 | + | 5.99201i | −0.199222 | + | 0.678462i | ||||
\(79\) | 5.14638 | + | 8.91380i | 0.579013 | + | 1.00288i | 0.995593 | + | 0.0937812i | \(0.0298954\pi\) |
−0.416580 | + | 0.909099i | \(0.636771\pi\) | |||||||
\(80\) | −0.772984 | −0.0864223 | ||||||||
\(81\) | −8.91039 | − | 1.26690i | −0.990043 | − | 0.140767i | ||||
\(82\) | 9.80028i | 1.08226i | ||||||||
\(83\) | 16.3639 | 1.79617 | 0.898086 | − | 0.439820i | \(-0.144958\pi\) | ||||
0.898086 | + | 0.439820i | \(0.144958\pi\) | |||||||
\(84\) | −3.90672 | − | 2.39532i | −0.426258 | − | 0.261351i | ||||
\(85\) | −1.02326 | + | 1.77234i | −0.110988 | + | 0.192237i | ||||
\(86\) | 9.80672 | − | 5.66191i | 1.05749 | − | 0.610540i | ||||
\(87\) | −8.08753 | − | 2.47617i | −0.867075 | − | 0.265473i | ||||
\(88\) | −2.70245 | −0.288082 | ||||||||
\(89\) | 5.17484 | − | 8.96309i | 0.548532 | − | 0.950085i | −0.449844 | − | 0.893107i | \(-0.648520\pi\) |
0.998375 | − | 0.0569778i | \(-0.0181464\pi\) | |||||||
\(90\) | 2.31317 | + | 0.163624i | 0.243830 | + | 0.0172474i | ||||
\(91\) | 6.60644 | − | 6.88149i | 0.692543 | − | 0.721376i | ||||
\(92\) | − | 5.38541i | − | 0.561468i | ||||||
\(93\) | 1.45595 | + | 6.31802i | 0.150975 | + | 0.655148i | ||||
\(94\) | 5.26673i | 0.543221i | ||||||||
\(95\) | 3.12722 | − | 1.80550i | 0.320846 | − | 0.185241i | ||||
\(96\) | −1.65616 | − | 0.507069i | −0.169032 | − | 0.0517525i | ||||
\(97\) | 6.86925 | + | 3.96597i | 0.697467 | + | 0.402683i | 0.806403 | − | 0.591366i | \(-0.201411\pi\) |
−0.108936 | + | 0.994049i | \(0.534744\pi\) | |||||||
\(98\) | 3.60723 | + | 5.99899i | 0.364386 | + | 0.605989i | ||||
\(99\) | 8.08713 | + | 0.572048i | 0.812787 | + | 0.0574929i | ||||
\(100\) | 4.40250 | 0.440250 | ||||||||
\(101\) | −10.1670 | −1.01165 | −0.505825 | − | 0.862636i | \(-0.668812\pi\) | ||||
−0.505825 | + | 0.862636i | \(0.668812\pi\) | |||||||
\(102\) | −3.35502 | + | 3.12609i | −0.332197 | + | 0.309529i | ||||
\(103\) | 8.01582 | − | 4.62793i | 0.789822 | − | 0.456004i | −0.0500780 | − | 0.998745i | \(-0.515947\pi\) |
0.839900 | + | 0.542741i | \(0.182614\pi\) | |||||||
\(104\) | 1.76675 | − | 3.14302i | 0.173244 | − | 0.308199i | ||||
\(105\) | −3.01983 | − | 1.85155i | −0.294705 | − | 0.180692i | ||||
\(106\) | 1.82591 | + | 3.16257i | 0.177348 | + | 0.307176i | ||||
\(107\) | −1.04934 | − | 0.605838i | −0.101444 | − | 0.0585686i | 0.448420 | − | 0.893823i | \(-0.351987\pi\) |
−0.549864 | + | 0.835254i | \(0.685320\pi\) | |||||||
\(108\) | 4.84877 | + | 1.86799i | 0.466574 | + | 0.179747i | ||||
\(109\) | −3.83041 | + | 6.63447i | −0.366887 | + | 0.635467i | −0.989077 | − | 0.147400i | \(-0.952910\pi\) |
0.622190 | + | 0.782866i | \(0.286243\pi\) | |||||||
\(110\) | −2.08895 | −0.199173 | ||||||||
\(111\) | 7.71048 | − | 1.77684i | 0.731847 | − | 0.168650i | ||||
\(112\) | 1.88739 | + | 1.85412i | 0.178341 | + | 0.175198i | ||||
\(113\) | 8.89202 | + | 5.13381i | 0.836491 | + | 0.482948i | 0.856070 | − | 0.516860i | \(-0.172899\pi\) |
−0.0195790 | + | 0.999808i | \(0.506233\pi\) | |||||||
\(114\) | 7.88464 | − | 1.81697i | 0.738464 | − | 0.170175i | ||||
\(115\) | − | 4.16284i | − | 0.388187i | ||||||
\(116\) | 4.22905 | + | 2.44165i | 0.392658 | + | 0.226701i | ||||
\(117\) | −5.95236 | + | 9.03158i | −0.550295 | + | 0.834970i | ||||
\(118\) | 11.2248i | 1.03333i | ||||||||
\(119\) | 6.74970 | − | 1.87305i | 0.618744 | − | 0.171702i | ||||
\(120\) | −1.28019 | − | 0.391956i | −0.116865 | − | 0.0357806i | ||||
\(121\) | 3.69679 | 0.336071 | ||||||||
\(122\) | −6.50875 | + | 11.2735i | −0.589274 | + | 1.02065i | ||||
\(123\) | −4.96942 | + | 16.2309i | −0.448077 | + | 1.46349i | ||||
\(124\) | − | 3.74331i | − | 0.336159i | ||||||
\(125\) | 7.26798 | 0.650068 | ||||||||
\(126\) | −5.25557 | − | 5.94802i | −0.468204 | − | 0.529892i | ||||
\(127\) | −3.63055 | − | 6.28830i | −0.322159 | − | 0.557996i | 0.658774 | − | 0.752341i | \(-0.271075\pi\) |
−0.980933 | + | 0.194345i | \(0.937742\pi\) | |||||||
\(128\) | 0.866025 | + | 0.500000i | 0.0765466 | + | 0.0441942i | ||||
\(129\) | 19.1125 | − | 4.40438i | 1.68276 | − | 0.387784i | ||||
\(130\) | 1.36567 | − | 2.42951i | 0.119777 | − | 0.213082i | ||||
\(131\) | 5.48186 | + | 9.49487i | 0.478953 | + | 0.829570i | 0.999709 | − | 0.0241352i | \(-0.00768323\pi\) |
−0.520756 | + | 0.853706i | \(0.674350\pi\) | |||||||
\(132\) | −4.47570 | − | 1.37033i | −0.389559 | − | 0.119272i | ||||
\(133\) | −11.9665 | − | 3.09265i | −1.03762 | − | 0.268167i | ||||
\(134\) | 6.01140 | + | 3.47068i | 0.519306 | + | 0.299821i | ||||
\(135\) | 3.74803 | + | 1.44393i | 0.322579 | + | 0.124273i | ||||
\(136\) | 2.29285 | − | 1.32378i | 0.196610 | − | 0.113513i | ||||
\(137\) | 4.31921 | − | 2.49370i | 0.369015 | − | 0.213051i | −0.304013 | − | 0.952668i | \(-0.598327\pi\) |
0.673028 | + | 0.739617i | \(0.264993\pi\) | |||||||
\(138\) | 2.73078 | − | 8.91913i | 0.232459 | − | 0.759246i | ||||
\(139\) | −0.244965 | − | 0.141431i | −0.0207777 | − | 0.0119960i | 0.489575 | − | 0.871961i | \(-0.337152\pi\) |
−0.510353 | + | 0.859965i | \(0.670485\pi\) | |||||||
\(140\) | 1.45892 | + | 1.43321i | 0.123301 | + | 0.121128i | ||||
\(141\) | −2.67059 | + | 8.72257i | −0.224905 | + | 0.734573i | ||||
\(142\) | −5.60701 | − | 9.71163i | −0.470530 | − | 0.814982i | ||||
\(143\) | 4.77455 | − | 8.49385i | 0.399268 | − | 0.710291i | ||||
\(144\) | −2.48576 | − | 1.67958i | −0.207147 | − | 0.139965i | ||||
\(145\) | 3.26899 | + | 1.88735i | 0.271475 | + | 0.156736i | ||||
\(146\) | −5.19392 | − | 8.99614i | −0.429852 | − | 0.744525i | ||||
\(147\) | 2.93227 | + | 11.7644i | 0.241850 | + | 0.970314i | ||||
\(148\) | −4.56832 | −0.375514 | ||||||||
\(149\) | − | 0.399655i | − | 0.0327410i | −0.999866 | − | 0.0163705i | \(-0.994789\pi\) | ||
0.999866 | − | 0.0163705i | \(-0.00521113\pi\) | |||||||
\(150\) | 7.29126 | + | 2.23237i | 0.595329 | + | 0.182272i | ||||
\(151\) | 3.60132 | − | 6.23766i | 0.293071 | − | 0.507614i | −0.681463 | − | 0.731852i | \(-0.738656\pi\) |
0.974534 | + | 0.224238i | \(0.0719894\pi\) | |||||||
\(152\) | −4.67151 | −0.378909 | ||||||||
\(153\) | −7.14162 | + | 3.47609i | −0.577365 | + | 0.281025i | ||||
\(154\) | 5.10056 | + | 5.01067i | 0.411015 | + | 0.403771i | ||||
\(155\) | − | 2.89352i | − | 0.232413i | ||||||
\(156\) | 4.51976 | − | 4.30950i | 0.361871 | − | 0.345036i | ||||
\(157\) | −10.4752 | − | 6.04786i | −0.836012 | − | 0.482672i | 0.0198945 | − | 0.999802i | \(-0.493667\pi\) |
−0.855907 | + | 0.517130i | \(0.827000\pi\) | |||||||
\(158\) | − | 10.2928i | − | 0.818848i | ||||||
\(159\) | 1.42037 | + | 6.16360i | 0.112643 | + | 0.488806i | ||||
\(160\) | 0.669424 | + | 0.386492i | 0.0529226 | + | 0.0305549i | ||||
\(161\) | −9.98521 | + | 10.1644i | −0.786945 | + | 0.801063i | ||||
\(162\) | 7.08317 | + | 5.55236i | 0.556506 | + | 0.436235i | ||||
\(163\) | −9.44469 | −0.739765 | −0.369883 | − | 0.929079i | \(-0.620602\pi\) | ||||
−0.369883 | + | 0.929079i | \(0.620602\pi\) | |||||||
\(164\) | 4.90014 | − | 8.48729i | 0.382637 | − | 0.662746i | ||||
\(165\) | −3.45964 | − | 1.05924i | −0.269333 | − | 0.0824618i | ||||
\(166\) | −14.1716 | − | 8.18195i | −1.09993 | − | 0.635043i | ||||
\(167\) | 9.42868 | + | 16.3310i | 0.729614 | + | 1.26373i | 0.957047 | + | 0.289934i | \(0.0936333\pi\) |
−0.227433 | + | 0.973794i | \(0.573033\pi\) | |||||||
\(168\) | 2.18566 | + | 4.02777i | 0.168627 | + | 0.310749i | ||||
\(169\) | 6.75717 | + | 11.1059i | 0.519782 | + | 0.854299i | ||||
\(170\) | 1.77234 | − | 1.02326i | 0.135932 | − | 0.0784804i | ||||
\(171\) | 13.9796 | + | 0.988854i | 1.06905 | + | 0.0756196i | ||||
\(172\) | −11.3238 | −0.863434 | ||||||||
\(173\) | −12.0181 | −0.913722 | −0.456861 | − | 0.889538i | \(-0.651026\pi\) | ||||
−0.456861 | + | 0.889538i | \(0.651026\pi\) | |||||||
\(174\) | 5.76593 | + | 6.18819i | 0.437114 | + | 0.469125i | ||||
\(175\) | −8.30921 | − | 8.16276i | −0.628117 | − | 0.617047i | ||||
\(176\) | 2.34039 | + | 1.35122i | 0.176413 | + | 0.101852i | ||||
\(177\) | −5.69177 | + | 18.5902i | −0.427820 | + | 1.39732i | ||||
\(178\) | −8.96309 | + | 5.17484i | −0.671812 | + | 0.387871i | ||||
\(179\) | 13.6960i | 1.02369i | 0.859078 | + | 0.511844i | \(0.171038\pi\) | ||||
−0.859078 | + | 0.511844i | \(0.828962\pi\) | |||||||
\(180\) | −1.92146 | − | 1.29829i | −0.143217 | − | 0.0967687i | ||||
\(181\) | 13.0400i | 0.969257i | 0.874720 | + | 0.484628i | \(0.161045\pi\) | ||||
−0.874720 | + | 0.484628i | \(0.838955\pi\) | |||||||
\(182\) | −9.16209 | + | 2.65632i | −0.679140 | + | 0.196900i | ||||
\(183\) | −16.4960 | + | 15.3704i | −1.21942 | + | 1.13621i | ||||
\(184\) | −2.69271 | + | 4.66390i | −0.198509 | + | 0.343827i | ||||
\(185\) | −3.53124 | −0.259622 | ||||||||
\(186\) | 1.89812 | − | 6.19954i | 0.139177 | − | 0.454572i | ||||
\(187\) | 6.19630 | − | 3.57744i | 0.453118 | − | 0.261608i | ||||
\(188\) | 2.63336 | − | 4.56112i | 0.192058 | − | 0.332654i | ||||
\(189\) | −5.68804 | − | 12.5158i | −0.413744 | − | 0.910393i | ||||
\(190\) | −3.61100 | −0.261970 | ||||||||
\(191\) | 1.94038i | 0.140401i | 0.997533 | + | 0.0702005i | \(0.0223639\pi\) | ||||
−0.997533 | + | 0.0702005i | \(0.977636\pi\) | |||||||
\(192\) | 1.18075 | + | 1.26722i | 0.0852130 | + | 0.0914535i | ||||
\(193\) | 10.0456 | 0.723095 | 0.361548 | − | 0.932354i | \(-0.382249\pi\) | ||||
0.361548 | + | 0.932354i | \(0.382249\pi\) | |||||||
\(194\) | −3.96597 | − | 6.86925i | −0.284740 | − | 0.493184i | ||||
\(195\) | 3.49371 | − | 3.33117i | 0.250189 | − | 0.238550i | ||||
\(196\) | −0.124461 | − | 6.99889i | −0.00889008 | − | 0.499921i | ||||
\(197\) | −2.55609 | + | 1.47576i | −0.182114 | + | 0.105143i | −0.588285 | − | 0.808653i | \(-0.700197\pi\) |
0.406172 | + | 0.913797i | \(0.366863\pi\) | |||||||
\(198\) | −6.71764 | − | 4.53897i | −0.477402 | − | 0.322571i | ||||
\(199\) | 2.42516 | − | 1.40017i | 0.171915 | − | 0.0992553i | −0.411573 | − | 0.911377i | \(-0.635021\pi\) |
0.583489 | + | 0.812121i | \(0.301687\pi\) | |||||||
\(200\) | −3.81267 | − | 2.20125i | −0.269597 | − | 0.155652i | ||||
\(201\) | 8.19599 | + | 8.79622i | 0.578100 | + | 0.620437i | ||||
\(202\) | 8.80484 | + | 5.08348i | 0.619507 | + | 0.357672i | ||||
\(203\) | −3.45475 | − | 12.4495i | −0.242476 | − | 0.873784i | ||||
\(204\) | 4.46858 | − | 1.02976i | 0.312863 | − | 0.0720976i | ||||
\(205\) | 3.78773 | − | 6.56054i | 0.264547 | − | 0.458208i | ||||
\(206\) | −9.25587 | −0.644887 | ||||||||
\(207\) | 9.04523 | − | 13.3868i | 0.628687 | − | 0.930450i | ||||
\(208\) | −3.10156 | + | 1.83856i | −0.215055 | + | 0.127481i | ||||
\(209\) | −12.6245 | −0.873255 | ||||||||
\(210\) | 1.68948 | + | 3.11340i | 0.116585 | + | 0.214845i | ||||
\(211\) | −6.57341 | − | 11.3855i | −0.452532 | − | 0.783809i | 0.546010 | − | 0.837778i | \(-0.316146\pi\) |
−0.998543 | + | 0.0539696i | \(0.982813\pi\) | |||||||
\(212\) | − | 3.65182i | − | 0.250808i | ||||||
\(213\) | −4.36167 | − | 18.9272i | −0.298856 | − | 1.29687i | ||||
\(214\) | 0.605838 | + | 1.04934i | 0.0414142 | + | 0.0717315i | ||||
\(215\) | −8.75314 | −0.596959 | ||||||||
\(216\) | −3.26517 | − | 4.04211i | −0.222167 | − | 0.275031i | ||||
\(217\) | −6.94056 | + | 7.06508i | −0.471156 | + | 0.479609i | ||||
\(218\) | 6.63447 | − | 3.83041i | 0.449343 | − | 0.259428i | ||||
\(219\) | −4.04033 | − | 17.5328i | −0.273020 | − | 1.18475i | ||||
\(220\) | 1.80908 | + | 1.04447i | 0.121968 | + | 0.0704184i | ||||
\(221\) | 0.109762 | + | 9.54526i | 0.00738340 | + | 0.642084i | ||||
\(222\) | −7.56589 | − | 2.31646i | −0.507790 | − | 0.155470i | ||||
\(223\) | 2.33020 | − | 1.34534i | 0.156042 | − | 0.0900908i | −0.419946 | − | 0.907549i | \(-0.637951\pi\) |
0.575988 | + | 0.817458i | \(0.304618\pi\) | |||||||
\(224\) | −0.707464 | − | 2.54941i | −0.0472694 | − | 0.170340i | ||||
\(225\) | 10.9436 | + | 7.39434i | 0.729570 | + | 0.492956i | ||||
\(226\) | −5.13381 | − | 8.89202i | −0.341496 | − | 0.591488i | ||||
\(227\) | −2.64013 | − | 4.57284i | −0.175232 | − | 0.303510i | 0.765010 | − | 0.644019i | \(-0.222734\pi\) |
−0.940241 | + | 0.340509i | \(0.889401\pi\) | |||||||
\(228\) | −7.73679 | − | 2.36878i | −0.512381 | − | 0.156876i | ||||
\(229\) | 22.9130 | − | 13.2288i | 1.51414 | − | 0.874187i | 0.514273 | − | 0.857626i | \(-0.328062\pi\) |
0.999863 | − | 0.0165604i | \(-0.00527159\pi\) | |||||||
\(230\) | −2.08142 | + | 3.60512i | −0.137245 | + | 0.237715i | ||||
\(231\) | 5.90662 | + | 10.8848i | 0.388627 | + | 0.716169i | ||||
\(232\) | −2.44165 | − | 4.22905i | −0.160302 | − | 0.277651i | ||||
\(233\) | 3.01825 | − | 1.74259i | 0.197732 | − | 0.114161i | −0.397865 | − | 0.917444i | \(-0.630249\pi\) |
0.595597 | + | 0.803283i | \(0.296915\pi\) | |||||||
\(234\) | 9.67068 | − | 4.84540i | 0.632192 | − | 0.316754i | ||||
\(235\) | 2.03555 | − | 3.52567i | 0.132785 | − | 0.229990i | ||||
\(236\) | 5.61242 | − | 9.72100i | 0.365337 | − | 0.632783i | ||||
\(237\) | 5.21914 | − | 17.0465i | 0.339020 | − | 1.10729i | ||||
\(238\) | −6.78194 | − | 1.75274i | −0.439608 | − | 0.113613i | ||||
\(239\) | 11.0001i | 0.711539i | 0.934574 | + | 0.355769i | \(0.115781\pi\) | ||||
−0.934574 | + | 0.355769i | \(0.884219\pi\) | |||||||
\(240\) | 0.912698 | + | 0.979539i | 0.0589144 | + | 0.0632290i | ||||
\(241\) | 2.00211 | − | 1.15592i | 0.128967 | − | 0.0744594i | −0.434128 | − | 0.900851i | \(-0.642944\pi\) |
0.563096 | + | 0.826392i | \(0.309610\pi\) | |||||||
\(242\) | −3.20151 | − | 1.84839i | −0.205801 | − | 0.118819i | ||||
\(243\) | 8.91546 | + | 12.7873i | 0.571927 | + | 0.820304i | ||||
\(244\) | 11.2735 | − | 6.50875i | 0.721710 | − | 0.416680i | ||||
\(245\) | −0.0962065 | − | 5.41004i | −0.00614641 | − | 0.345634i | ||||
\(246\) | 12.4191 | − | 11.5716i | 0.791812 | − | 0.737781i | ||||
\(247\) | 8.25340 | − | 14.6827i | 0.525151 | − | 0.934235i | ||||
\(248\) | −1.87166 | + | 3.24180i | −0.118850 | + | 0.205855i | ||||
\(249\) | −19.3216 | − | 20.7366i | −1.22446 | − | 1.31413i | ||||
\(250\) | −6.29426 | − | 3.63399i | −0.398084 | − | 0.229834i | ||||
\(251\) | 4.19795 | − | 7.27107i | 0.264973 | − | 0.458946i | −0.702584 | − | 0.711601i | \(-0.747970\pi\) |
0.967556 | + | 0.252655i | \(0.0813038\pi\) | |||||||
\(252\) | 1.57745 | + | 7.77892i | 0.0993700 | + | 0.490026i | ||||
\(253\) | −7.27689 | + | 12.6039i | −0.457494 | + | 0.792403i | ||||
\(254\) | 7.26110i | 0.455602i | ||||||||
\(255\) | 3.45414 | − | 0.795988i | 0.216307 | − | 0.0498467i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | −12.3210 | + | 21.3406i | −0.768564 | + | 1.33119i | 0.169778 | + | 0.985482i | \(0.445695\pi\) |
−0.938342 | + | 0.345709i | \(0.887638\pi\) | |||||||
\(258\) | −18.7541 | − | 5.74196i | −1.16758 | − | 0.357479i | ||||
\(259\) | 8.62219 | + | 8.47023i | 0.535757 | + | 0.526314i | ||||
\(260\) | −2.39746 | + | 1.42118i | −0.148684 | + | 0.0881377i | ||||
\(261\) | 6.41148 | + | 13.1724i | 0.396861 | + | 0.815350i | ||||
\(262\) | − | 10.9637i | − | 0.677341i | ||||||
\(263\) | 22.8097i | 1.40651i | 0.710939 | + | 0.703254i | \(0.248270\pi\) | ||||
−0.710939 | + | 0.703254i | \(0.751730\pi\) | |||||||
\(264\) | 3.19090 | + | 3.42459i | 0.196386 | + | 0.210769i | ||||
\(265\) | − | 2.82280i | − | 0.173403i | ||||||
\(266\) | 8.81695 | + | 8.66155i | 0.540602 | + | 0.531074i | ||||
\(267\) | −17.4683 | + | 4.02548i | −1.06905 | + | 0.246356i | ||||
\(268\) | −3.47068 | − | 6.01140i | −0.212006 | − | 0.367205i | ||||
\(269\) | −0.914446 | − | 1.58387i | −0.0557548 | − | 0.0965701i | 0.836801 | − | 0.547507i | \(-0.184423\pi\) |
−0.892556 | + | 0.450937i | \(0.851090\pi\) | |||||||
\(270\) | −2.52392 | − | 3.12449i | −0.153601 | − | 0.190150i | ||||
\(271\) | 6.32104 | + | 3.64945i | 0.383976 | + | 0.221689i | 0.679547 | − | 0.733632i | \(-0.262176\pi\) |
−0.295571 | + | 0.955321i | \(0.595510\pi\) | |||||||
\(272\) | −2.64755 | −0.160532 | ||||||||
\(273\) | −16.5209 | − | 0.246506i | −0.999889 | − | 0.0149192i | ||||
\(274\) | −4.98739 | −0.301299 | ||||||||
\(275\) | −10.3035 | − | 5.94875i | −0.621327 | − | 0.358723i | ||||
\(276\) | −6.82448 | + | 6.35880i | −0.410786 | + | 0.382755i | ||||
\(277\) | 8.45914 | + | 14.6517i | 0.508260 | + | 0.880333i | 0.999954 | + | 0.00956470i | \(0.00304459\pi\) |
−0.491694 | + | 0.870768i | \(0.663622\pi\) | |||||||
\(278\) | 0.141431 | + | 0.244965i | 0.00848244 | + | 0.0146920i | ||||
\(279\) | 6.28719 | − | 9.30498i | 0.376404 | − | 0.557075i | ||||
\(280\) | −0.546859 | − | 1.97065i | −0.0326811 | − | 0.117769i | ||||
\(281\) | − | 31.6214i | − | 1.88637i | −0.332263 | − | 0.943187i | \(-0.607812\pi\) | ||
0.332263 | − | 0.943187i | \(-0.392188\pi\) | |||||||
\(282\) | 6.67409 | − | 6.21867i | 0.397436 | − | 0.370316i | ||||
\(283\) | 0.682132i | 0.0405485i | 0.999794 | + | 0.0202743i | \(0.00645394\pi\) | ||||
−0.999794 | + | 0.0202743i | \(0.993546\pi\) | |||||||
\(284\) | 11.2140i | 0.665430i | ||||||||
\(285\) | −5.98042 | − | 1.83103i | −0.354249 | − | 0.108461i | ||||
\(286\) | −8.38181 | + | 4.96861i | −0.495627 | + | 0.293800i | ||||
\(287\) | −24.9849 | + | 6.93335i | −1.47481 | + | 0.409263i | ||||
\(288\) | 1.31294 | + | 2.69744i | 0.0773659 | + | 0.158948i | ||||
\(289\) | 4.99523 | − | 8.65199i | 0.293837 | − | 0.508941i | ||||
\(290\) | −1.88735 | − | 3.26899i | −0.110829 | − | 0.191962i | ||||
\(291\) | −3.08511 | − | 13.3876i | −0.180852 | − | 0.784797i | ||||
\(292\) | 10.3878i | 0.607903i | ||||||||
\(293\) | 3.90007 | − | 6.75511i | 0.227844 | − | 0.394638i | −0.729325 | − | 0.684168i | \(-0.760166\pi\) |
0.957169 | + | 0.289530i | \(0.0934989\pi\) | |||||||
\(294\) | 3.34279 | − | 11.6544i | 0.194956 | − | 0.679700i | ||||
\(295\) | 4.33831 | − | 7.51418i | 0.252586 | − | 0.437492i | ||||
\(296\) | 3.95628 | + | 2.28416i | 0.229954 | + | 0.132764i | ||||
\(297\) | −8.82394 | − | 10.9236i | −0.512017 | − | 0.633851i | ||||
\(298\) | −0.199827 | + | 0.346111i | −0.0115757 | + | 0.0200497i | ||||
\(299\) | −9.90140 | − | 16.7032i | −0.572613 | − | 0.965971i | ||||
\(300\) | −5.19823 | − | 5.57892i | −0.300120 | − | 0.322099i | ||||
\(301\) | 21.3724 | + | 20.9958i | 1.23189 | + | 1.21018i | ||||
\(302\) | −6.23766 | + | 3.60132i | −0.358937 | + | 0.207233i | ||||
\(303\) | 12.0046 | + | 12.8837i | 0.689646 | + | 0.740152i | ||||
\(304\) | 4.04565 | + | 2.33575i | 0.232034 | + | 0.133965i | ||||
\(305\) | 8.71422 | − | 5.03116i | 0.498975 | − | 0.288083i | ||||
\(306\) | 7.92286 | + | 0.560428i | 0.452920 | + | 0.0320375i | ||||
\(307\) | − | 1.62307i | − | 0.0926335i | −0.998927 | − | 0.0463167i | \(-0.985252\pi\) | ||
0.998927 | − | 0.0463167i | \(-0.0147484\pi\) | |||||||
\(308\) | −1.91188 | − | 6.88964i | −0.108940 | − | 0.392574i | ||||
\(309\) | −15.3292 | − | 4.69336i | −0.872050 | − | 0.266996i | ||||
\(310\) | −1.44676 | + | 2.50586i | −0.0821705 | + | 0.142324i | ||||
\(311\) | −15.1988 | + | 26.3252i | −0.861847 | + | 1.49276i | 0.00829636 | + | 0.999966i | \(0.497359\pi\) |
−0.870144 | + | 0.492798i | \(0.835974\pi\) | |||||||
\(312\) | −6.06898 | + | 1.47225i | −0.343588 | + | 0.0833498i | ||||
\(313\) | 4.29992 | − | 2.48256i | 0.243046 | − | 0.140323i | −0.373530 | − | 0.927618i | \(-0.621853\pi\) |
0.616576 | + | 0.787296i | \(0.288519\pi\) | |||||||
\(314\) | 6.04786 | + | 10.4752i | 0.341301 | + | 0.591150i | ||||
\(315\) | 1.21934 | + | 6.01299i | 0.0687022 | + | 0.338793i | ||||
\(316\) | −5.14638 | + | 8.91380i | −0.289507 | + | 0.501440i | ||||
\(317\) | −11.5891 | + | 6.69094i | −0.650906 | + | 0.375801i | −0.788803 | − | 0.614646i | \(-0.789299\pi\) |
0.137897 | + | 0.990447i | \(0.455966\pi\) | |||||||
\(318\) | 1.85173 | − | 6.04802i | 0.103840 | − | 0.339156i | ||||
\(319\) | −6.59841 | − | 11.4288i | −0.369440 | − | 0.639889i | ||||
\(320\) | −0.386492 | − | 0.669424i | −0.0216056 | − | 0.0374219i | ||||
\(321\) | 0.471278 | + | 2.04508i | 0.0263042 | + | 0.114145i | ||||
\(322\) | 13.7296 | − | 3.80998i | 0.765122 | − | 0.212322i | ||||
\(323\) | 10.7111 | − | 6.18403i | 0.595979 | − | 0.344089i | ||||
\(324\) | −3.35802 | − | 8.35007i | −0.186557 | − | 0.463893i | ||||
\(325\) | 13.6546 | − | 8.09425i | 0.757422 | − | 0.448988i | ||||
\(326\) | 8.17934 | + | 4.72234i | 0.453012 | + | 0.261546i | ||||
\(327\) | 12.9300 | − | 2.97966i | 0.715033 | − | 0.164775i | ||||
\(328\) | −8.48729 | + | 4.90014i | −0.468632 | + | 0.270565i | ||||
\(329\) | −13.4271 | + | 3.72602i | −0.740257 | + | 0.205422i | ||||
\(330\) | 2.46652 | + | 2.64715i | 0.135777 | + | 0.145721i | ||||
\(331\) | −29.5150 | −1.62229 | −0.811145 | − | 0.584845i | \(-0.801155\pi\) | ||||
−0.811145 | + | 0.584845i | \(0.801155\pi\) | |||||||
\(332\) | 8.18195 | + | 14.1716i | 0.449043 | + | 0.777765i | ||||
\(333\) | −11.3558 | − | 7.67286i | −0.622292 | − | 0.420470i | ||||
\(334\) | − | 18.8574i | − | 1.03183i | ||||||
\(335\) | −2.68278 | − | 4.64672i | −0.146576 | − | 0.253877i | ||||
\(336\) | 0.121050 | − | 4.58098i | 0.00660383 | − | 0.249913i | ||||
\(337\) | −30.1118 | −1.64030 | −0.820148 | − | 0.572152i | \(-0.806109\pi\) | ||||
−0.820148 | + | 0.572152i | \(0.806109\pi\) | |||||||
\(338\) | −0.298938 | − | 12.9966i | −0.0162601 | − | 0.706920i | ||||
\(339\) | −3.99357 | − | 17.3298i | −0.216901 | − | 0.941228i | ||||
\(340\) | −2.04652 | −0.110988 | ||||||||
\(341\) | −5.05805 | + | 8.76080i | −0.273909 | + | 0.474424i | ||||
\(342\) | −11.6123 | − | 7.84617i | −0.627919 | − | 0.424272i | ||||
\(343\) | −12.7419 | + | 13.4404i | −0.687998 | + | 0.725713i | ||||
\(344\) | 9.80672 | + | 5.66191i | 0.528743 | + | 0.305270i | ||||
\(345\) | −5.27522 | + | 4.91525i | −0.284008 | + | 0.264628i | ||||
\(346\) | 10.4080 | + | 6.00907i | 0.559538 | + | 0.323050i | ||||
\(347\) | −11.6548 | + | 6.72891i | −0.625663 | + | 0.361227i | −0.779070 | − | 0.626936i | \(-0.784309\pi\) |
0.153408 | + | 0.988163i | \(0.450975\pi\) | |||||||
\(348\) | −1.89934 | − | 8.24209i | −0.101816 | − | 0.441822i | ||||
\(349\) | −8.96543 | + | 5.17619i | −0.479908 | + | 0.277075i | −0.720378 | − | 0.693581i | \(-0.756032\pi\) |
0.240470 | + | 0.970657i | \(0.422698\pi\) | |||||||
\(350\) | 3.11461 | + | 11.2238i | 0.166483 | + | 0.599936i | ||||
\(351\) | 18.4732 | − | 3.12108i | 0.986026 | − | 0.166591i | ||||
\(352\) | −1.35122 | − | 2.34039i | −0.0720204 | − | 0.124743i | ||||
\(353\) | 29.9025 | 1.59155 | 0.795775 | − | 0.605593i | \(-0.207064\pi\) | ||||
0.795775 | + | 0.605593i | \(0.207064\pi\) | |||||||
\(354\) | 14.2243 | − | 13.2537i | 0.756013 | − | 0.704425i | ||||
\(355\) | 8.66826i | 0.460064i | ||||||||
\(356\) | 10.3497 | 0.548532 | ||||||||
\(357\) | −10.3432 | − | 6.34174i | −0.547422 | − | 0.335640i | ||||
\(358\) | 6.84801 | − | 11.8611i | 0.361929 | − | 0.626879i | ||||
\(359\) | 5.15529 | − | 2.97641i | 0.272086 | − | 0.157089i | −0.357749 | − | 0.933818i | \(-0.616456\pi\) |
0.629835 | + | 0.776729i | \(0.283122\pi\) | |||||||
\(360\) | 1.01488 | + | 2.08508i | 0.0534891 | + | 0.109893i | ||||
\(361\) | −2.82299 | −0.148579 | ||||||||
\(362\) | 6.52001 | − | 11.2930i | 0.342684 | − | 0.593546i | ||||
\(363\) | −4.36497 | − | 4.68463i | −0.229101 | − | 0.245879i | ||||
\(364\) | 9.26277 | + | 2.28060i | 0.485501 | + | 0.119536i | ||||
\(365\) | 8.02964i | 0.420291i | ||||||||
\(366\) | 21.9711 | − | 5.06312i | 1.14845 | − | 0.264654i | ||||
\(367\) | − | 17.0616i | − | 0.890607i | −0.895380 | − | 0.445303i | \(-0.853096\pi\) | ||
0.895380 | − | 0.445303i | \(-0.146904\pi\) | |||||||
\(368\) | 4.66390 | − | 2.69271i | 0.243123 | − | 0.140367i | ||||
\(369\) | 26.4357 | − | 12.8672i | 1.37619 | − | 0.669840i | ||||
\(370\) | 3.05815 | + | 1.76562i | 0.158985 | + | 0.0917903i | ||||
\(371\) | −6.77093 | + | 6.89241i | −0.351529 | + | 0.357836i | ||||
\(372\) | −4.74359 | + | 4.41990i | −0.245944 | + | 0.229161i | ||||
\(373\) | 23.6660 | 1.22538 | 0.612690 | − | 0.790324i | \(-0.290088\pi\) | ||||
0.612690 | + | 0.790324i | \(0.290088\pi\) | |||||||
\(374\) | −7.15487 | −0.369970 | ||||||||
\(375\) | −8.58164 | − | 9.21011i | −0.443154 | − | 0.475608i | ||||
\(376\) | −4.56112 | + | 2.63336i | −0.235222 | + | 0.135805i | ||||
\(377\) | 17.6058 | − | 0.202451i | 0.906744 | − | 0.0104268i | ||||
\(378\) | −1.33194 | + | 13.6831i | −0.0685074 | + | 0.703780i | ||||
\(379\) | 13.2966 | + | 23.0303i | 0.682998 | + | 1.18299i | 0.974061 | + | 0.226284i | \(0.0726576\pi\) |
−0.291063 | + | 0.956704i | \(0.594009\pi\) | |||||||
\(380\) | 3.12722 | + | 1.80550i | 0.160423 | + | 0.0926203i | ||||
\(381\) | −3.68188 | + | 12.0256i | −0.188628 | + | 0.616089i | ||||
\(382\) | 0.970190 | − | 1.68042i | 0.0496392 | − | 0.0859777i | ||||
\(383\) | 15.6354 | 0.798929 | 0.399465 | − | 0.916749i | \(-0.369196\pi\) | ||||
0.399465 | + | 0.916749i | \(0.369196\pi\) | |||||||
\(384\) | −0.388948 | − | 1.68782i | −0.0198484 | − | 0.0861310i | ||||
\(385\) | −1.47786 | − | 5.32559i | −0.0753185 | − | 0.271417i | ||||
\(386\) | −8.69971 | − | 5.02278i | −0.442804 | − | 0.255653i | ||||
\(387\) | −28.1483 | − | 19.0193i | −1.43086 | − | 0.966804i | ||||
\(388\) | 7.93193i | 0.402683i | ||||||||
\(389\) | −4.64668 | − | 2.68276i | −0.235596 | − | 0.136021i | 0.377555 | − | 0.925987i | \(-0.376765\pi\) |
−0.613151 | + | 0.789966i | \(0.710098\pi\) | |||||||
\(390\) | −4.69122 | + | 1.13803i | −0.237549 | + | 0.0576262i | ||||
\(391\) | − | 14.2582i | − | 0.721066i | ||||||
\(392\) | −3.39166 | + | 6.12345i | −0.171305 | + | 0.309281i | ||||
\(393\) | 5.55937 | − | 18.1577i | 0.280433 | − | 0.915937i | ||||
\(394\) | 2.95151 | 0.148695 | ||||||||
\(395\) | −3.97807 | + | 6.89023i | −0.200159 | + | 0.346685i | ||||
\(396\) | 3.54816 | + | 7.28968i | 0.178302 | + | 0.366320i | ||||
\(397\) | − | 5.81650i | − | 0.291922i | −0.989290 | − | 0.145961i | \(-0.953373\pi\) | ||
0.989290 | − | 0.145961i | \(-0.0466273\pi\) | |||||||
\(398\) | −2.80034 | −0.140368 | ||||||||
\(399\) | 10.2103 | + | 18.8157i | 0.511155 | + | 0.941966i | ||||
\(400\) | 2.20125 | + | 3.81267i | 0.110062 | + | 0.190634i | ||||
\(401\) | 7.52248 | + | 4.34311i | 0.375655 | + | 0.216884i | 0.675926 | − | 0.736969i | \(-0.263744\pi\) |
−0.300271 | + | 0.953854i | \(0.597077\pi\) | |||||||
\(402\) | −2.69983 | − | 11.7157i | −0.134655 | − | 0.584328i | ||||
\(403\) | −6.88231 | − | 11.6101i | −0.342832 | − | 0.578341i | ||||
\(404\) | −5.08348 | − | 8.80484i | −0.252913 | − | 0.438057i | ||||
\(405\) | −2.59570 | − | 6.45447i | −0.128981 | − | 0.320725i | ||||
\(406\) | −3.23285 | + | 12.5090i | −0.160444 | + | 0.620810i | ||||
\(407\) | 10.6916 | + | 6.17282i | 0.529965 | + | 0.305975i | ||||
\(408\) | −4.38478 | − | 1.34249i | −0.217079 | − | 0.0664633i | ||||
\(409\) | 8.71787 | − | 5.03326i | 0.431071 | − | 0.248879i | −0.268732 | − | 0.963215i | \(-0.586605\pi\) |
0.699803 | + | 0.714336i | \(0.253271\pi\) | |||||||
\(410\) | −6.56054 | + | 3.78773i | −0.324002 | + | 0.187063i | ||||
\(411\) | −8.25994 | − | 2.52895i | −0.407433 | − | 0.124744i | ||||
\(412\) | 8.01582 | + | 4.62793i | 0.394911 | + | 0.228002i | ||||
\(413\) | −28.6167 | + | 7.94117i | −1.40814 | + | 0.390759i | ||||
\(414\) | −14.5268 | + | 7.07074i | −0.713954 | + | 0.347508i | ||||
\(415\) | 6.32452 | + | 10.9544i | 0.310458 | + | 0.537730i | ||||
\(416\) | 3.60531 | − | 0.0414579i | 0.176765 | − | 0.00203264i | ||||
\(417\) | 0.110018 | + | 0.477417i | 0.00538761 | + | 0.0233792i | ||||
\(418\) | 10.9331 | + | 6.31225i | 0.534757 | + | 0.308742i | ||||
\(419\) | 6.88362 | + | 11.9228i | 0.336287 | + | 0.582466i | 0.983731 | − | 0.179647i | \(-0.0574955\pi\) |
−0.647444 | + | 0.762113i | \(0.724162\pi\) | |||||||
\(420\) | 0.0935700 | − | 3.54102i | 0.00456575 | − | 0.172784i | ||||
\(421\) | 5.26092 | 0.256402 | 0.128201 | − | 0.991748i | \(-0.459080\pi\) | ||||
0.128201 | + | 0.991748i | \(0.459080\pi\) | |||||||
\(422\) | 13.1468i | 0.639977i | ||||||||
\(423\) | 14.2067 | − | 6.91491i | 0.690752 | − | 0.336215i | ||||
\(424\) | −1.82591 | + | 3.16257i | −0.0886741 | + | 0.153588i | ||||
\(425\) | 11.6558 | 0.565391 | ||||||||
\(426\) | −5.68628 | + | 18.5723i | −0.275501 | + | 0.899829i | ||||
\(427\) | −33.3454 | − | 8.61788i | −1.61370 | − | 0.417049i | ||||
\(428\) | − | 1.21168i | − | 0.0585686i | ||||||
\(429\) | −16.4011 | + | 3.97868i | −0.791852 | + | 0.192092i | ||||
\(430\) | 7.58044 | + | 4.37657i | 0.365561 | + | 0.211057i | ||||
\(431\) | 22.0983i | 1.06444i | 0.846606 | + | 0.532220i | \(0.178642\pi\) | ||||
−0.846606 | + | 0.532220i | \(0.821358\pi\) | |||||||
\(432\) | 0.806662 | + | 5.13316i | 0.0388105 | + | 0.246969i | ||||
\(433\) | 0.698470 | + | 0.403262i | 0.0335663 | + | 0.0193795i | 0.516689 | − | 0.856173i | \(-0.327164\pi\) |
−0.483123 | + | 0.875553i | \(0.660498\pi\) | |||||||
\(434\) | 9.54324 | − | 2.64826i | 0.458090 | − | 0.127121i | ||||
\(435\) | −1.46816 | − | 6.37101i | −0.0703930 | − | 0.305466i | ||||
\(436\) | −7.66082 | −0.366887 | ||||||||
\(437\) | −12.5790 | + | 21.7875i | −0.601735 | + | 1.04224i | ||||
\(438\) | −5.26735 | + | 17.2040i | −0.251684 | + | 0.822038i | ||||
\(439\) | −19.1502 | − | 11.0564i | −0.913987 | − | 0.527691i | −0.0322754 | − | 0.999479i | \(-0.510275\pi\) |
−0.881712 | + | 0.471788i | \(0.843609\pi\) | |||||||
\(440\) | −1.04447 | − | 1.80908i | −0.0497934 | − | 0.0862446i | ||||
\(441\) | 11.4458 | − | 17.6066i | 0.545039 | − | 0.838411i | ||||
\(442\) | 4.67757 | − | 8.32132i | 0.222489 | − | 0.395805i | ||||
\(443\) | 22.9597 | − | 13.2558i | 1.09085 | − | 0.629800i | 0.157044 | − | 0.987592i | \(-0.449803\pi\) |
0.933802 | + | 0.357791i | \(0.116470\pi\) | |||||||
\(444\) | 5.39403 | + | 5.78906i | 0.255989 | + | 0.274736i | ||||
\(445\) | 8.00014 | 0.379243 | ||||||||
\(446\) | −2.69068 | −0.127408 | ||||||||
\(447\) | −0.506450 | + | 0.471891i | −0.0239542 | + | 0.0223197i | ||||
\(448\) | −0.662023 | + | 2.56159i | −0.0312777 | + | 0.121024i | ||||
\(449\) | −32.5645 | − | 18.8011i | −1.53681 | − | 0.887279i | −0.999023 | − | 0.0441993i | \(-0.985926\pi\) |
−0.537789 | − | 0.843079i | \(-0.680740\pi\) | |||||||
\(450\) | −5.78023 | − | 11.8755i | −0.272482 | − | 0.559815i | ||||
\(451\) | −22.9364 | + | 13.2424i | −1.08004 | + | 0.623559i | ||||
\(452\) | 10.2676i | 0.482948i | ||||||||
\(453\) | −12.1567 | + | 2.80145i | −0.571172 | + | 0.131623i | ||||
\(454\) | 5.28026i | 0.247815i | ||||||||
\(455\) | 7.15997 | + | 1.76287i | 0.335665 | + | 0.0826447i | ||||
\(456\) | 5.51587 | + | 5.91981i | 0.258304 | + | 0.277221i | ||||
\(457\) | −9.55304 | + | 16.5464i | −0.446873 | + | 0.774006i | −0.998181 | − | 0.0602958i | \(-0.980796\pi\) |
0.551308 | + | 0.834302i | \(0.314129\pi\) | |||||||
\(458\) | −26.4577 | −1.23629 | ||||||||
\(459\) | 12.8374 | + | 4.94560i | 0.599198 | + | 0.230841i | ||||
\(460\) | 3.60512 | − | 2.08142i | 0.168090 | − | 0.0970467i | ||||
\(461\) | −2.14345 | + | 3.71257i | −0.0998306 | + | 0.172912i | −0.911614 | − | 0.411046i | \(-0.865163\pi\) |
0.811784 | + | 0.583958i | \(0.198497\pi\) | |||||||
\(462\) | 0.327132 | − | 12.3798i | 0.0152195 | − | 0.575962i | ||||
\(463\) | 30.5605 | 1.42027 | 0.710134 | − | 0.704066i | \(-0.248634\pi\) | ||||
0.710134 | + | 0.704066i | \(0.248634\pi\) | |||||||
\(464\) | 4.88329i | 0.226701i | ||||||||
\(465\) | −3.66672 | + | 3.41652i | −0.170040 | + | 0.158437i | ||||
\(466\) | −3.48518 | −0.161448 | ||||||||
\(467\) | 9.65321 | + | 16.7199i | 0.446697 | + | 0.773703i | 0.998169 | − | 0.0604912i | \(-0.0192667\pi\) |
−0.551471 | + | 0.834194i | \(0.685933\pi\) | |||||||
\(468\) | −10.7978 | − | 0.639100i | −0.499126 | − | 0.0295424i | ||||
\(469\) | −4.59535 | + | 17.7809i | −0.212193 | + | 0.821046i | ||||
\(470\) | −3.52567 | + | 2.03555i | −0.162627 | + | 0.0938929i | ||||
\(471\) | 4.70460 | + | 20.4153i | 0.216777 | + | 0.940689i | ||||
\(472\) | −9.72100 | + | 5.61242i | −0.447445 | + | 0.258333i | ||||
\(473\) | 26.5021 | + | 15.3010i | 1.21857 | + | 0.703541i | ||||
\(474\) | −13.0432 | + | 12.1531i | −0.599093 | + | 0.558212i | ||||
\(475\) | −17.8109 | − | 10.2831i | −0.817222 | − | 0.471823i | ||||
\(476\) | 4.99696 | + | 4.90889i | 0.229035 | + | 0.224999i | ||||
\(477\) | 6.13353 | − | 9.07756i | 0.280835 | − | 0.415633i | ||||
\(478\) | 5.50006 | − | 9.52638i | 0.251567 | − | 0.435727i | ||||
\(479\) | 37.6069 | 1.71830 | 0.859152 | − | 0.511720i | \(-0.170991\pi\) | ||||
0.859152 | + | 0.511720i | \(0.170991\pi\) | |||||||
\(480\) | −0.300650 | − | 1.30465i | −0.0137228 | − | 0.0595491i | ||||
\(481\) | −14.1689 | + | 8.39914i | −0.646048 | + | 0.382968i | ||||
\(482\) | −2.31184 | −0.105302 | ||||||||
\(483\) | 24.6704 | + | 0.651905i | 1.12254 | + | 0.0296627i | ||||
\(484\) | 1.84839 | + | 3.20151i | 0.0840179 | + | 0.145523i | ||||
\(485\) | 6.13126i | 0.278406i | ||||||||
\(486\) | −1.32738 | − | 15.5318i | −0.0602111 | − | 0.704539i | ||||
\(487\) | 17.5209 | + | 30.3471i | 0.793948 | + | 1.37516i | 0.923505 | + | 0.383586i | \(0.125311\pi\) |
−0.129558 | + | 0.991572i | \(0.541356\pi\) | |||||||
\(488\) | −13.0175 | −0.589274 | ||||||||
\(489\) | 11.1518 | + | 11.9685i | 0.504301 | + | 0.541233i | ||||
\(490\) | −2.62170 | + | 4.73333i | −0.118436 | + | 0.213830i | ||||
\(491\) | 21.2054 | − | 12.2429i | 0.956985 | − | 0.552516i | 0.0617415 | − | 0.998092i | \(-0.480335\pi\) |
0.895244 | + | 0.445576i | \(0.147001\pi\) | |||||||
\(492\) | −16.5411 | + | 3.81180i | −0.745729 | + | 0.171849i | ||||
\(493\) | 11.1966 | + | 6.46439i | 0.504272 | + | 0.291141i | ||||
\(494\) | −14.4890 | + | 8.58885i | −0.651890 | + | 0.386431i | ||||
\(495\) | 2.74267 | + | 5.63481i | 0.123274 | + | 0.253266i | ||||
\(496\) | 3.24180 | − | 1.87166i | 0.145561 | − | 0.0840399i | ||||
\(497\) | 20.7922 | − | 21.1652i | 0.932656 | − | 0.949389i | ||||
\(498\) | 6.36470 | + | 27.6192i | 0.285209 | + | 1.23765i | ||||
\(499\) | 9.94836 | + | 17.2311i | 0.445350 | + | 0.771368i | 0.998077 | − | 0.0619941i | \(-0.0197460\pi\) |
−0.552727 | + | 0.833363i | \(0.686413\pi\) | |||||||
\(500\) | 3.63399 | + | 6.29426i | 0.162517 | + | 0.281488i | ||||
\(501\) | 9.56199 | − | 31.2309i | 0.427198 | − | 1.39529i | ||||
\(502\) | −7.27107 | + | 4.19795i | −0.324524 | + | 0.187364i | ||||
\(503\) | 5.22211 | − | 9.04495i | 0.232842 | − | 0.403295i | −0.725801 | − | 0.687905i | \(-0.758531\pi\) |
0.958643 | + | 0.284610i | \(0.0918641\pi\) | |||||||
\(504\) | 2.52335 | − | 7.52547i | 0.112399 | − | 0.335211i | ||||
\(505\) | −3.92945 | − | 6.80601i | −0.174858 | − | 0.302863i | ||||
\(506\) | 12.6039 | − | 7.27689i | 0.560314 | − | 0.323497i | ||||
\(507\) | 6.09506 | − | 21.6760i | 0.270691 | − | 0.962666i | ||||
\(508\) | 3.63055 | − | 6.28830i | 0.161080 | − | 0.278998i | ||||
\(509\) | 0.749658 | − | 1.29845i | 0.0332280 | − | 0.0575526i | −0.848933 | − | 0.528500i | \(-0.822755\pi\) |
0.882161 | + | 0.470948i | \(0.156088\pi\) | |||||||
\(510\) | −3.38937 | − | 1.03773i | −0.150084 | − | 0.0459513i | ||||
\(511\) | 19.2603 | − | 19.6059i | 0.852027 | − | 0.867313i | ||||
\(512\) | 1.00000i | 0.0441942i | ||||||||
\(513\) | −15.2533 | − | 18.8828i | −0.673448 | − | 0.833695i | ||||
\(514\) | 21.3406 | − | 12.3210i | 0.941295 | − | 0.543457i | ||||
\(515\) | 6.19610 | + | 3.57732i | 0.273033 | + | 0.157636i | ||||
\(516\) | 13.3706 | + | 14.3497i | 0.588606 | + | 0.631712i | ||||
\(517\) | −12.3262 | + | 7.11652i | −0.542105 | + | 0.312984i | ||||
\(518\) | −3.23192 | − | 11.6465i | −0.142003 | − | 0.511719i | ||||
\(519\) | 14.1904 | + | 15.2296i | 0.622888 | + | 0.668505i | ||||
\(520\) | 2.78685 | − | 0.0320463i | 0.122211 | − | 0.00140533i | ||||
\(521\) | −9.88915 | + | 17.1285i | −0.433252 | + | 0.750414i | −0.997151 | − | 0.0754296i | \(-0.975967\pi\) |
0.563900 | + | 0.825843i | \(0.309301\pi\) | |||||||
\(522\) | 1.03368 | − | 14.6134i | 0.0452431 | − | 0.639609i | ||||
\(523\) | 11.4165 | + | 6.59133i | 0.499210 | + | 0.288219i | 0.728387 | − | 0.685166i | \(-0.240270\pi\) |
−0.229178 | + | 0.973385i | \(0.573604\pi\) | |||||||
\(524\) | −5.48186 | + | 9.49487i | −0.239476 | + | 0.414785i | ||||
\(525\) | −0.532923 | + | 20.1677i | −0.0232587 | + | 0.880192i | ||||
\(526\) | 11.4049 | − | 19.7538i | 0.497275 | − | 0.861306i | ||||
\(527\) | − | 9.91062i | − | 0.431713i | ||||||
\(528\) | −1.05111 | − | 4.56123i | −0.0457437 | − | 0.198502i | ||||
\(529\) | 3.00132 | + | 5.19845i | 0.130492 | + | 0.226019i | ||||
\(530\) | −1.41140 | + | 2.44462i | −0.0613074 | + | 0.106187i | ||||
\(531\) | 30.2783 | − | 14.7376i | 1.31397 | − | 0.639556i | ||||
\(532\) | −3.30492 | − | 11.9096i | −0.143287 | − | 0.516346i | ||||
\(533\) | −0.406300 | − | 35.3331i | −0.0175988 | − | 1.53045i | ||||
\(534\) | 17.1408 | + | 5.24800i | 0.741754 | + | 0.227103i | ||||
\(535\) | − | 0.936606i | − | 0.0404930i | ||||||
\(536\) | 6.94137i | 0.299821i | ||||||||
\(537\) | 17.3558 | − | 16.1715i | 0.748960 | − | 0.697853i | ||||
\(538\) | 1.82889i | 0.0788492i | ||||||||
\(539\) | −9.16578 | + | 16.5483i | −0.394798 | + | 0.712785i | ||||
\(540\) | 0.623537 | + | 3.96785i | 0.0268328 | + | 0.170749i | ||||
\(541\) | 10.6958 | + | 18.5257i | 0.459848 | + | 0.796480i | 0.998953 | − | 0.0457586i | \(-0.0145705\pi\) |
−0.539104 | + | 0.842239i | \(0.681237\pi\) | |||||||
\(542\) | −3.64945 | − | 6.32104i | −0.156757 | − | 0.271512i | ||||
\(543\) | 16.5245 | − | 15.3969i | 0.709135 | − | 0.660746i | ||||
\(544\) | 2.29285 | + | 1.32378i | 0.0983051 | + | 0.0567565i | ||||
\(545\) | −5.92170 | −0.253658 | ||||||||
\(546\) | 14.1842 | + | 8.47392i | 0.607030 | + | 0.362650i | ||||
\(547\) | −25.6199 | −1.09543 | −0.547713 | − | 0.836666i | \(-0.684501\pi\) | ||||
−0.547713 | + | 0.836666i | \(0.684501\pi\) | |||||||
\(548\) | 4.31921 | + | 2.49370i | 0.184507 | + | 0.106525i | ||||
\(549\) | 38.9551 | + | 2.75551i | 1.66256 | + | 0.117602i | ||||
\(550\) | 5.94875 | + | 10.3035i | 0.253656 | + | 0.439344i | ||||
\(551\) | −11.4062 | − | 19.7561i | −0.485919 | − | 0.841636i | ||||
\(552\) | 9.08958 | − | 2.09464i | 0.386878 | − | 0.0891539i | ||||
\(553\) | 26.2405 | − | 7.28176i | 1.11586 | − | 0.309652i | ||||
\(554\) | − | 16.9183i | − | 0.718789i | ||||||
\(555\) | 4.16950 | + | 4.47485i | 0.176985 | + | 0.189947i | ||||
\(556\) | − | 0.282861i | − | 0.0119960i | ||||||
\(557\) | 15.8251i | 0.670532i | 0.942124 | + | 0.335266i | \(0.108826\pi\) | ||||
−0.942124 | + | 0.335266i | \(0.891174\pi\) | |||||||
\(558\) | −10.0974 | + | 4.91476i | −0.427455 | + | 0.208058i | ||||
\(559\) | −35.1216 | + | 20.8195i | −1.48548 | + | 0.880573i | ||||
\(560\) | −0.511734 | + | 1.98007i | −0.0216247 | + | 0.0836731i | ||||
\(561\) | −11.8496 | − | 3.62801i | −0.500292 | − | 0.153175i | ||||
\(562\) | −15.8107 | + | 27.3849i | −0.666934 | + | 1.15516i | ||||
\(563\) | −4.87300 | − | 8.44029i | −0.205373 | − | 0.355716i | 0.744879 | − | 0.667200i | \(-0.232507\pi\) |
−0.950251 | + | 0.311484i | \(0.899174\pi\) | |||||||
\(564\) | −8.88926 | + | 2.04848i | −0.374305 | + | 0.0862566i | ||||
\(565\) | 7.93671i | 0.333900i | ||||||||
\(566\) | 0.341066 | − | 0.590743i | 0.0143361 | − | 0.0248308i | ||||
\(567\) | −9.14416 | + | 21.9860i | −0.384019 | + | 0.923325i | ||||
\(568\) | 5.60701 | − | 9.71163i | 0.235265 | − | 0.407491i | ||||
\(569\) | 16.0935 | + | 9.29160i | 0.674675 | + | 0.389524i | 0.797846 | − | 0.602862i | \(-0.205973\pi\) |
−0.123171 | + | 0.992386i | \(0.539306\pi\) | |||||||
\(570\) | 4.26368 | + | 4.57592i | 0.178586 | + | 0.191664i | ||||
\(571\) | −16.5767 | + | 28.7116i | −0.693712 | + | 1.20154i | 0.276901 | + | 0.960899i | \(0.410693\pi\) |
−0.970613 | + | 0.240646i | \(0.922641\pi\) | |||||||
\(572\) | 9.74316 | − | 0.112038i | 0.407382 | − | 0.00468454i | ||||
\(573\) | 2.45888 | − | 2.29110i | 0.102721 | − | 0.0957119i | ||||
\(574\) | 25.1043 | + | 6.48802i | 1.04783 | + | 0.270805i | ||||
\(575\) | −20.5328 | + | 11.8546i | −0.856277 | + | 0.494372i | ||||
\(576\) | 0.211678 | − | 2.99252i | 0.00881990 | − | 0.124688i | ||||
\(577\) | −31.6525 | − | 18.2746i | −1.31771 | − | 0.760780i | −0.334350 | − | 0.942449i | \(-0.608517\pi\) |
−0.983360 | + | 0.181668i | \(0.941850\pi\) | |||||||
\(578\) | −8.65199 | + | 4.99523i | −0.359875 | + | 0.207774i | ||||
\(579\) | −11.8613 | − | 12.7299i | −0.492937 | − | 0.529037i | ||||
\(580\) | 3.77471i | 0.156736i | ||||||||
\(581\) | 10.8333 | − | 41.9175i | 0.449440 | − | 1.73903i | ||||
\(582\) | −4.02204 | + | 13.1366i | −0.166719 | + | 0.544529i | ||||
\(583\) | −4.93443 | + | 8.54668i | −0.204363 | + | 0.353967i | ||||
\(584\) | 5.19392 | − | 8.99614i | 0.214926 | − | 0.372263i | ||||
\(585\) | −8.34650 | − | 0.494015i | −0.345085 | − | 0.0204250i | ||||
\(586\) | −6.75511 | + | 3.90007i | −0.279051 | + | 0.161110i | ||||
\(587\) | −17.2008 | − | 29.7927i | −0.709953 | − | 1.22967i | −0.964874 | − | 0.262713i | \(-0.915383\pi\) |
0.254921 | − | 0.966962i | \(-0.417951\pi\) | |||||||
\(588\) | −8.72216 | + | 8.42163i | −0.359696 | + | 0.347302i | ||||
\(589\) | −8.74346 | + | 15.1441i | −0.360268 | + | 0.624002i | ||||
\(590\) | −7.51418 | + | 4.33831i | −0.309354 | + | 0.178605i | ||||
\(591\) | 4.88819 | + | 1.49662i | 0.201073 | + | 0.0615628i | ||||
\(592\) | −2.28416 | − | 3.95628i | −0.0938785 | − | 0.162602i | ||||
\(593\) | 1.21051 | + | 2.09667i | 0.0497099 | + | 0.0861000i | 0.889810 | − | 0.456332i | \(-0.150837\pi\) |
−0.840100 | + | 0.542432i | \(0.817504\pi\) | |||||||
\(594\) | 2.17996 | + | 13.8721i | 0.0894448 | + | 0.569178i | ||||
\(595\) | 3.86257 | + | 3.79449i | 0.158350 | + | 0.155559i | ||||
\(596\) | 0.346111 | − | 0.199827i | 0.0141773 | − | 0.00818525i | ||||
\(597\) | −4.63782 | − | 1.41996i | −0.189813 | − | 0.0581153i | ||||
\(598\) | 0.223268 | + | 19.4161i | 0.00913011 | + | 0.793983i | ||||
\(599\) | 29.8409 | + | 17.2287i | 1.21927 | + | 0.703944i | 0.964761 | − | 0.263127i | \(-0.0847539\pi\) |
0.254506 | + | 0.967071i | \(0.418087\pi\) | |||||||
\(600\) | 1.71234 | + | 7.43060i | 0.0699060 | + | 0.303353i | ||||
\(601\) | 14.8253 | − | 8.55938i | 0.604736 | − | 0.349145i | −0.166166 | − | 0.986098i | \(-0.553139\pi\) |
0.770903 | + | 0.636953i | \(0.219806\pi\) | |||||||
\(602\) | −8.01120 | − | 28.8691i | −0.326512 | − | 1.17662i | ||||
\(603\) | 1.46933 | − | 20.7722i | 0.0598358 | − | 0.845909i | ||||
\(604\) | 7.20263 | 0.293071 | ||||||||
\(605\) | 1.42878 | + | 2.47472i | 0.0580881 | + | 0.100612i | ||||
\(606\) | −3.95441 | − | 17.1599i | −0.160637 | − | 0.697075i | ||||
\(607\) | − | 14.6934i | − | 0.596388i | −0.954505 | − | 0.298194i | \(-0.903616\pi\) | ||
0.954505 | − | 0.298194i | \(-0.0963843\pi\) | |||||||
\(608\) | −2.33575 | − | 4.04565i | −0.0947273 | − | 0.164073i | ||||
\(609\) | −11.6970 | + | 19.0776i | −0.473988 | + | 0.773065i | ||||
\(610\) | −10.0623 | −0.407411 | ||||||||
\(611\) | −0.218348 | − | 18.9882i | −0.00883340 | − | 0.768180i | ||||
\(612\) | −6.58119 | − | 4.44678i | −0.266029 | − | 0.179750i | ||||
\(613\) | 29.6540 | 1.19771 | 0.598857 | − | 0.800856i | \(-0.295622\pi\) | ||||
0.598857 | + | 0.800856i | \(0.295622\pi\) | |||||||
\(614\) | −0.811535 | + | 1.40562i | −0.0327509 | + | 0.0567262i | ||||
\(615\) | −12.7860 | + | 2.94646i | −0.515581 | + | 0.118813i | ||||
\(616\) | −1.78908 | + | 6.92255i | −0.0720842 | + | 0.278917i | ||||
\(617\) | 15.2938 | + | 8.82986i | 0.615704 | + | 0.355477i | 0.775195 | − | 0.631723i | \(-0.217652\pi\) |
−0.159491 | + | 0.987199i | \(0.550985\pi\) | |||||||
\(618\) | 10.9288 | + | 11.7292i | 0.439622 | + | 0.471817i | ||||
\(619\) | −21.5803 | − | 12.4594i | −0.867387 | − | 0.500786i | −0.000907672 | − | 1.00000i | \(-0.500289\pi\) |
−0.866479 | + | 0.499214i | \(0.833622\pi\) | |||||||
\(620\) | 2.50586 | − | 1.44676i | 0.100638 | − | 0.0581033i | ||||
\(621\) | −27.6442 | + | 4.34420i | −1.10932 | + | 0.174327i | ||||
\(622\) | 26.3252 | − | 15.1988i | 1.05554 | − | 0.609418i | ||||
\(623\) | −19.5339 | − | 19.1896i | −0.782607 | − | 0.768814i | ||||
\(624\) | 5.99201 | + | 1.75948i | 0.239873 | + | 0.0704356i | ||||
\(625\) | −8.19722 | − | 14.1980i | −0.327889 | − | 0.567920i | ||||
\(626\) | −4.96512 | −0.198446 | ||||||||
\(627\) | 14.9063 | + | 15.9980i | 0.595301 | + | 0.638898i | ||||
\(628\) | − | 12.0957i | − | 0.482672i | ||||||
\(629\) | −12.0949 | −0.482254 | ||||||||
\(630\) | 1.95051 | − | 5.81707i | 0.0777102 | − | 0.231758i | ||||
\(631\) | 4.25946 | − | 7.37761i | 0.169567 | − | 0.293698i | −0.768701 | − | 0.639608i | \(-0.779097\pi\) |
0.938268 | + | 0.345910i | \(0.112430\pi\) | |||||||
\(632\) | 8.91380 | − | 5.14638i | 0.354572 | − | 0.204712i | ||||
\(633\) | −6.66635 | + | 21.7733i | −0.264963 | + | 0.865411i | ||||
\(634\) | 13.3819 | 0.531463 | ||||||||
\(635\) | 2.80636 | − | 4.86076i | 0.111367 | − | 0.192893i | ||||
\(636\) | −4.62765 | + | 4.31188i | −0.183498 | + | 0.170977i | ||||
\(637\) | −13.2539 | − | 21.4787i | −0.525139 | − | 0.851016i | ||||
\(638\) | 13.1968i | 0.522467i | ||||||||
\(639\) | −18.8348 | + | 27.8754i | −0.745095 | + | 1.10273i | ||||
\(640\) | 0.772984i | 0.0305549i | ||||||||
\(641\) | 17.6989 | − | 10.2185i | 0.699065 | − | 0.403605i | −0.107934 | − | 0.994158i | \(-0.534424\pi\) |
0.806999 | + | 0.590553i | \(0.201090\pi\) | |||||||
\(642\) | 0.614403 | − | 2.00673i | 0.0242486 | − | 0.0791995i | ||||
\(643\) | −28.2804 | − | 16.3277i | −1.11527 | − | 0.643902i | −0.175082 | − | 0.984554i | \(-0.556019\pi\) |
−0.940190 | + | 0.340652i | \(0.889352\pi\) | |||||||
\(644\) | −13.7952 | − | 3.56527i | −0.543607 | − | 0.140491i | ||||
\(645\) | 10.3352 | + | 11.0921i | 0.406950 | + | 0.436752i | ||||
\(646\) | −12.3681 | −0.486615 | ||||||||
\(647\) | −3.26300 | −0.128282 | −0.0641410 | − | 0.997941i | \(-0.520431\pi\) | ||||
−0.0641410 | + | 0.997941i | \(0.520431\pi\) | |||||||
\(648\) | −1.26690 | + | 8.91039i | −0.0497686 | + | 0.350033i | ||||
\(649\) | −26.2705 | + | 15.1673i | −1.03121 | + | 0.595367i | ||||
\(650\) | −15.8724 | + | 0.182518i | −0.622566 | + | 0.00715896i | ||||
\(651\) | 17.1480 | + | 0.453129i | 0.672084 | + | 0.0177595i | ||||
\(652\) | −4.72234 | − | 8.17934i | −0.184941 | − | 0.320328i | ||||
\(653\) | 23.5817 | + | 13.6149i | 0.922822 | + | 0.532792i | 0.884534 | − | 0.466475i | \(-0.154476\pi\) |
0.0382879 | + | 0.999267i | \(0.487810\pi\) | |||||||
\(654\) | −12.6876 | − | 3.88457i | −0.496124 | − | 0.151899i | ||||
\(655\) | −4.23739 | + | 7.33938i | −0.165569 | + | 0.286773i | ||||
\(656\) | 9.80028 | 0.382637 | ||||||||
\(657\) | −17.4472 | + | 25.8217i | −0.680680 | + | 1.00740i | ||||
\(658\) | 13.4912 | + | 3.48670i | 0.525941 | + | 0.135926i | ||||
\(659\) | −40.7276 | − | 23.5141i | −1.58652 | − | 0.915980i | −0.993874 | − | 0.110520i | \(-0.964748\pi\) |
−0.592650 | − | 0.805460i | \(-0.701918\pi\) | |||||||
\(660\) | −0.812491 | − | 3.52576i | −0.0316262 | − | 0.137240i | ||||
\(661\) | − | 4.05512i | − | 0.157726i | −0.996885 | − | 0.0788630i | \(-0.974871\pi\) | ||
0.996885 | − | 0.0788630i | \(-0.0251290\pi\) | |||||||
\(662\) | 25.5607 | + | 14.7575i | 0.993445 | + | 0.573566i | ||||
\(663\) | 11.9663 | − | 11.4096i | 0.464733 | − | 0.443113i | ||||
\(664\) | − | 16.3639i | − | 0.635043i | ||||||
\(665\) | −2.55466 | − | 9.20593i | −0.0990653 | − | 0.356991i | ||||
\(666\) | 5.99795 | + | 12.3228i | 0.232416 | + | 0.477498i | ||||
\(667\) | −26.2985 | −1.01828 | ||||||||
\(668\) | −9.42868 | + | 16.3310i | −0.364807 | + | 0.631864i | ||||
\(669\) | −4.45622 | − | 1.36436i | −0.172287 | − | 0.0527493i | ||||
\(670\) | 5.36557i | 0.207290i | ||||||||
\(671\) | −35.1791 | −1.35807 | ||||||||
\(672\) | −2.39532 | + | 3.90672i | −0.0924015 | + | 0.150705i | ||||
\(673\) | 20.5401 | + | 35.5765i | 0.791763 | + | 1.37137i | 0.924874 | + | 0.380273i | \(0.124170\pi\) |
−0.133111 | + | 0.991101i | \(0.542497\pi\) | |||||||
\(674\) | 26.0776 | + | 15.0559i | 1.00447 | + | 0.579932i | ||||
\(675\) | −3.55132 | − | 22.5987i | −0.136691 | − | 0.869824i | ||||
\(676\) | −6.23939 | + | 11.4048i | −0.239977 | + | 0.438647i | ||||
\(677\) | −0.255669 | − | 0.442832i | −0.00982616 | − | 0.0170194i | 0.861071 | − | 0.508486i | \(-0.169794\pi\) |
−0.870897 | + | 0.491466i | \(0.836461\pi\) | |||||||
\(678\) | −5.20639 | + | 17.0049i | −0.199950 | + | 0.653068i | ||||
\(679\) | 14.7068 | − | 14.9706i | 0.564394 | − | 0.574520i | ||||
\(680\) | 1.77234 | + | 1.02326i | 0.0679660 | + | 0.0392402i | ||||
\(681\) | −2.67746 | + | 8.74498i | −0.102600 | + | 0.335108i | ||||
\(682\) | 8.76080 | − | 5.05805i | 0.335468 | − | 0.193683i | ||||
\(683\) | 15.1002 | − | 8.71812i | 0.577794 | − | 0.333589i | −0.182462 | − | 0.983213i | \(-0.558407\pi\) |
0.760256 | + | 0.649623i | \(0.225073\pi\) | |||||||
\(684\) | 6.13343 | + | 12.6011i | 0.234517 | + | 0.481816i | ||||
\(685\) | 3.33868 | + | 1.92759i | 0.127564 | + | 0.0736493i | ||||
\(686\) | 17.7550 | − | 5.26877i | 0.677889 | − | 0.201163i | ||||
\(687\) | −43.8183 | − | 13.4159i | −1.67177 | − | 0.511848i | ||||
\(688\) | −5.66191 | − | 9.80672i | −0.215858 | − | 0.373878i | ||||
\(689\) | −6.71410 | − | 11.3264i | −0.255787 | − | 0.431500i | ||||
\(690\) | 7.02610 | − | 1.61913i | 0.267479 | − | 0.0616391i | ||||
\(691\) | −7.83883 | − | 4.52575i | −0.298203 | − | 0.172168i | 0.343432 | − | 0.939177i | \(-0.388410\pi\) |
−0.641635 | + | 0.767010i | \(0.721744\pi\) | |||||||
\(692\) | −6.00907 | − | 10.4080i | −0.228431 | − | 0.395653i | ||||
\(693\) | 6.81922 | − | 20.3372i | 0.259041 | − | 0.772545i | ||||
\(694\) | 13.4578 | 0.510852 | ||||||||
\(695\) | − | 0.218647i | − | 0.00829377i | ||||||
\(696\) | −2.47617 | + | 8.08753i | −0.0938588 | + | 0.306557i | ||||
\(697\) | 12.9734 | − | 22.4706i | 0.491402 | − | 0.851133i | ||||
\(698\) | 10.3524 | 0.391844 | ||||||||
\(699\) | −5.77203 | − | 1.76723i | −0.218318 | − | 0.0668427i | ||||
\(700\) | 2.91455 | − | 11.2774i | 0.110160 | − | 0.426245i | ||||
\(701\) | − | 0.299896i | − | 0.0113269i | −0.999984 | − | 0.00566346i | \(-0.998197\pi\) | ||
0.999984 | − | 0.00566346i | \(-0.00180274\pi\) | |||||||
\(702\) | −17.5588 | − | 6.53366i | −0.662714 | − | 0.246597i | ||||
\(703\) | 18.4818 | + | 10.6705i | 0.697055 | + | 0.402445i | ||||
\(704\) | 2.70245i | 0.101852i | ||||||||
\(705\) | −6.87126 | + | 1.58344i | −0.258787 | + | 0.0596359i | ||||
\(706\) | −25.8963 | − | 14.9512i | −0.974621 | − | 0.562698i | ||||
\(707\) | −6.73076 | + | 26.0435i | −0.253136 | + | 0.979468i | ||||
\(708\) | −18.9455 | + | 4.36587i | −0.712014 | + | 0.164080i | ||||
\(709\) | −35.4700 | −1.33210 | −0.666052 | − | 0.745905i | \(-0.732017\pi\) | ||||
−0.666052 | + | 0.745905i | \(0.732017\pi\) | |||||||
\(710\) | 4.33413 | − | 7.50694i | 0.162657 | − | 0.281730i | ||||
\(711\) | −27.7641 | + | 13.5138i | −1.04124 | + | 0.506808i | ||||
\(712\) | −8.96309 | − | 5.17484i | −0.335906 | − | 0.193935i | ||||
\(713\) | 10.0796 | + | 17.4584i | 0.377485 | + | 0.653824i | ||||
\(714\) | 5.78664 | + | 10.6637i | 0.216560 | + | 0.399080i | ||||
\(715\) | 7.53131 | − | 0.0866035i | 0.281655 | − | 0.00323879i | ||||
\(716\) | −11.8611 | + | 6.84801i | −0.443270 | + | 0.255922i | ||||
\(717\) | 13.9395 | − | 12.9883i | 0.520582 | − | 0.485059i | ||||
\(718\) | −5.95282 | −0.222157 | ||||||||
\(719\) | 45.3957 | 1.69297 | 0.846487 | − | 0.532410i | \(-0.178713\pi\) | ||||
0.846487 | + | 0.532410i | \(0.178713\pi\) | |||||||
\(720\) | 0.163624 | − | 2.31317i | 0.00609789 | − | 0.0862069i | ||||
\(721\) | −6.54819 | − | 23.5970i | −0.243868 | − | 0.878798i | ||||
\(722\) | 2.44478 | + | 1.41150i | 0.0909854 | + | 0.0525305i | ||||
\(723\) | −3.82879 | − | 1.17226i | −0.142394 | − | 0.0435970i | ||||
\(724\) | −11.2930 | + | 6.52001i | −0.419701 | + | 0.242314i | ||||
\(725\) | − | 21.4987i | − | 0.798440i | ||||||
\(726\) | 1.43786 | + | 6.23949i | 0.0533638 | + | 0.231569i | ||||
\(727\) | 11.4955i | 0.426346i | 0.977014 | + | 0.213173i | \(0.0683798\pi\) | ||||
−0.977014 | + | 0.213173i | \(0.931620\pi\) | |||||||
\(728\) | −6.88149 | − | 6.60644i | −0.255045 | − | 0.244851i | ||||
\(729\) | 5.67736 | − | 26.3964i | 0.210273 | − | 0.977643i | ||||
\(730\) | 4.01482 | − | 6.95387i | 0.148595 | − | 0.257374i | ||||
\(731\) | −29.9804 | −1.10887 | ||||||||
\(732\) | −21.5591 | − | 6.60077i | −0.796847 | − | 0.243971i | ||||
\(733\) | 3.91444 | − | 2.26000i | 0.144583 | − | 0.0834751i | −0.425963 | − | 0.904740i | \(-0.640065\pi\) |
0.570546 | + | 0.821265i | \(0.306731\pi\) | |||||||
\(734\) | −8.53079 | + | 14.7758i | −0.314877 | + | 0.545383i | ||||
\(735\) | −6.74209 | + | 6.50979i | −0.248686 | + | 0.240117i | ||||
\(736\) | −5.38541 | −0.198509 | ||||||||
\(737\) | 18.7587i | 0.690984i | ||||||||
\(738\) | −29.3276 | − | 2.07450i | −1.07956 | − | 0.0763634i | ||||
\(739\) | 7.97258 | 0.293276 | 0.146638 | − | 0.989190i | \(-0.453155\pi\) | ||||
0.146638 | + | 0.989190i | \(0.453155\pi\) | |||||||
\(740\) | −1.76562 | − | 3.05815i | −0.0649055 | − | 0.112420i | ||||
\(741\) | −28.3513 | + | 6.87763i | −1.04151 | + | 0.252656i | ||||
\(742\) | 9.31000 | − | 2.58353i | 0.341781 | − | 0.0948445i | ||||
\(743\) | −18.4735 | + | 10.6657i | −0.677726 | + | 0.391285i | −0.798998 | − | 0.601334i | \(-0.794636\pi\) |
0.121272 | + | 0.992619i | \(0.461303\pi\) | |||||||
\(744\) | 6.31802 | − | 1.45595i | 0.231630 | − | 0.0533778i | ||||
\(745\) | 0.267539 | − | 0.154464i | 0.00980186 | − | 0.00565911i | ||||
\(746\) | −20.4954 | − | 11.8330i | −0.750388 | − | 0.433237i | ||||
\(747\) | −3.46387 | + | 48.9693i | −0.126736 | + | 1.79169i | ||||
\(748\) | 6.19630 | + | 3.57744i | 0.226559 | + | 0.130804i | ||||
\(749\) | −2.24660 | + | 2.28690i | −0.0820888 | + | 0.0835616i | ||||
\(750\) | 2.82686 | + | 12.2670i | 0.103222 | + | 0.447928i | ||||
\(751\) | 18.8325 | − | 32.6189i | 0.687209 | − | 1.19028i | −0.285528 | − | 0.958370i | \(-0.592169\pi\) |
0.972737 | − | 0.231910i | \(-0.0744976\pi\) | |||||||
\(752\) | 5.26673 | 0.192058 | ||||||||
\(753\) | −14.1707 | + | 3.26557i | −0.516411 | + | 0.119004i | ||||
\(754\) | −15.3483 | − | 8.62757i | −0.558952 | − | 0.314197i | ||||
\(755\) | 5.56752 | 0.202623 | ||||||||
\(756\) | 7.99502 | − | 11.1839i | 0.290776 | − | 0.406755i | ||||
\(757\) | −16.7324 | − | 28.9814i | −0.608150 | − | 1.05335i | −0.991545 | − | 0.129762i | \(-0.958579\pi\) |
0.383395 | − | 0.923584i | \(-0.374755\pi\) | |||||||
\(758\) | − | 26.5931i | − | 0.965905i | ||||||
\(759\) | 24.5641 | − | 5.66066i | 0.891620 | − | 0.205469i | ||||
\(760\) | −1.80550 | − | 3.12722i | −0.0654924 | − | 0.113436i | ||||
\(761\) | 10.2577 | 0.371840 | 0.185920 | − | 0.982565i | \(-0.440473\pi\) | ||||
0.185920 | + | 0.982565i | \(0.440473\pi\) | |||||||
\(762\) | 9.20139 | − | 8.57352i | 0.333331 | − | 0.310586i | ||||
\(763\) | 14.4589 | + | 14.2041i | 0.523449 | + | 0.514223i | ||||
\(764\) | −1.68042 | + | 0.970190i | −0.0607954 | + | 0.0351002i | ||||
\(765\) | −5.08716 | − | 3.43729i | −0.183926 | − | 0.124275i | ||||
\(766\) | −13.5406 | − | 7.81768i | −0.489242 | − | 0.282464i | ||||
\(767\) | −0.465359 | − | 40.4691i | −0.0168031 | − | 1.46125i | ||||
\(768\) | −0.507069 | + | 1.65616i | −0.0182973 | + | 0.0597617i | ||||
\(769\) | 23.6054 | − | 13.6286i | 0.851232 | − | 0.491459i | −0.00983428 | − | 0.999952i | \(-0.503130\pi\) |
0.861066 | + | 0.508493i | \(0.169797\pi\) | |||||||
\(770\) | −1.38293 | + | 5.35102i | −0.0498374 | + | 0.192837i | ||||
\(771\) | 41.5912 | − | 9.58446i | 1.49787 | − | 0.345176i | ||||
\(772\) | 5.02278 | + | 8.69971i | 0.180774 | + | 0.313109i | ||||
\(773\) | 19.7527 | + | 34.2128i | 0.710457 | + | 1.23055i | 0.964686 | + | 0.263403i | \(0.0848451\pi\) |
−0.254229 | + | 0.967144i | \(0.581822\pi\) | |||||||
\(774\) | 14.8675 | + | 30.5453i | 0.534403 | + | 1.09793i | ||||
\(775\) | −14.2720 | + | 8.23996i | −0.512666 | + | 0.295988i | ||||
\(776\) | 3.96597 | − | 6.86925i | 0.142370 | − | 0.246592i | ||||
\(777\) | 0.552997 | − | 20.9274i | 0.0198386 | − | 0.750766i | ||||
\(778\) | 2.68276 | + | 4.64668i | 0.0961817 | + | 0.166592i | ||||
\(779\) | −39.6485 | + | 22.8910i | −1.42055 | + | 0.820157i | ||||
\(780\) | 4.63173 | + | 1.36005i | 0.165843 | + | 0.0486977i | ||||
\(781\) | 15.1526 | − | 26.2451i | 0.542204 | − | 0.939125i | ||||
\(782\) | −7.12908 | + | 12.3479i | −0.254935 | + | 0.441561i | ||||
\(783\) | 9.12193 | − | 23.6780i | 0.325991 | − | 0.846182i | ||||
\(784\) | 5.99899 | − | 3.60723i | 0.214250 | − | 0.128830i | ||||
\(785\) | − | 9.34981i | − | 0.333709i | ||||||
\(786\) | −13.8934 | + | 12.9454i | −0.495562 | + | 0.461746i | ||||
\(787\) | −22.6916 | + | 13.1010i | −0.808869 | + | 0.467001i | −0.846563 | − | 0.532288i | \(-0.821332\pi\) |
0.0376937 | + | 0.999289i | \(0.487999\pi\) | |||||||
\(788\) | −2.55609 | − | 1.47576i | −0.0910568 | − | 0.0525717i | ||||
\(789\) | 28.9049 | − | 26.9325i | 1.02904 | − | 0.958822i | ||||
\(790\) | 6.89023 | − | 3.97807i | 0.245143 | − | 0.141534i | ||||
\(791\) | 19.0374 | − | 19.3790i | 0.676893 | − | 0.689037i | ||||
\(792\) | 0.572048 | − | 8.08713i | 0.0203268 | − | 0.287364i | ||||
\(793\) | 22.9987 | − | 40.9143i | 0.816707 | − | 1.45291i | ||||
\(794\) | −2.90825 | + | 5.03723i | −0.103210 | + | 0.178765i | ||||
\(795\) | −3.57710 | + | 3.33301i | −0.126867 | + | 0.118210i | ||||
\(796\) | 2.42516 | + | 1.40017i | 0.0859576 | + | 0.0496277i | ||||
\(797\) | −19.9610 | + | 34.5734i | −0.707054 | + | 1.22465i | 0.258891 | + | 0.965906i | \(0.416643\pi\) |
−0.965945 | + | 0.258747i | \(0.916690\pi\) | |||||||
\(798\) | 0.565487 | − | 21.4001i | 0.0200180 | − | 0.757554i | ||||
\(799\) | 6.97197 | − | 12.0758i | 0.246651 | − | 0.427211i | ||||
\(800\) | − | 4.40250i | − | 0.155652i | ||||||
\(801\) | 25.7268 | + | 17.3831i | 0.909013 | + | 0.614202i | ||||
\(802\) | −4.34311 | − | 7.52248i | −0.153360 | − | 0.265628i | ||||
\(803\) | 14.0363 | − | 24.3116i | 0.495330 | − | 0.857937i | ||||
\(804\) | −3.51975 | + | 11.4960i | −0.124132 | + | 0.405434i | ||||
\(805\) | −10.6635 | − | 2.75590i | −0.375838 | − | 0.0971326i | ||||
\(806\) | 0.155190 | + | 13.4958i | 0.00546634 | + | 0.475370i | ||||
\(807\) | −0.927375 | + | 3.02895i | −0.0326451 | + | 0.106624i | ||||
\(808\) | 10.1670i | 0.357672i | ||||||||
\(809\) | − | 55.0898i | − | 1.93685i | −0.249297 | − | 0.968427i | \(-0.580199\pi\) | ||
0.249297 | − | 0.968427i | \(-0.419801\pi\) | |||||||
\(810\) | −0.979294 | + | 6.88759i | −0.0344089 | + | 0.242005i | ||||
\(811\) | − | 7.30412i | − | 0.256482i | −0.991743 | − | 0.128241i | \(-0.959067\pi\) | ||
0.991743 | − | 0.128241i | \(-0.0409331\pi\) | |||||||
\(812\) | 9.05422 | − | 9.21666i | 0.317741 | − | 0.323441i | ||||
\(813\) | −2.83889 | − | 12.3192i | −0.0995643 | − | 0.432054i | ||||
\(814\) | −6.17282 | − | 10.6916i | −0.216357 | − | 0.374742i | ||||
\(815\) | −3.65030 | − | 6.32250i | −0.127864 | − | 0.221468i | ||||
\(816\) | 3.12609 | + | 3.35502i | 0.109435 | + | 0.117449i | ||||
\(817\) | 45.8122 | + | 26.4497i | 1.60277 | + | 0.925357i | ||||
\(818\) | −10.0665 | −0.351968 | ||||||||
\(819\) | 19.1946 | + | 21.2266i | 0.670713 | + | 0.741717i | ||||
\(820\) | 7.57546 | 0.264547 | ||||||||
\(821\) | −25.4411 | − | 14.6884i | −0.887901 | − | 0.512630i | −0.0146455 | − | 0.999893i | \(-0.504662\pi\) |
−0.873255 | + | 0.487263i | \(0.837995\pi\) | |||||||
\(822\) | 5.88884 | + | 6.32011i | 0.205397 | + | 0.220439i | ||||
\(823\) | 6.11227 | + | 10.5868i | 0.213060 | + | 0.369031i | 0.952671 | − | 0.304004i | \(-0.0983236\pi\) |
−0.739611 | + | 0.673035i | \(0.764990\pi\) | |||||||
\(824\) | −4.62793 | − | 8.01582i | −0.161222 | − | 0.279244i | ||||
\(825\) | 4.62751 | + | 20.0808i | 0.161109 | + | 0.699123i | ||||
\(826\) | 28.7534 | + | 7.43111i | 1.00046 | + | 0.258561i | ||||
\(827\) | − | 30.9380i | − | 1.07582i | −0.843003 | − | 0.537910i | \(-0.819214\pi\) | ||
0.843003 | − | 0.537910i | \(-0.180786\pi\) | |||||||
\(828\) | 16.1160 | + | 1.13997i | 0.560068 | + | 0.0396167i | ||||
\(829\) | 49.0993i | 1.70529i | 0.522490 | + | 0.852645i | \(0.325003\pi\) | ||||
−0.522490 | + | 0.852645i | \(0.674997\pi\) | |||||||
\(830\) | − | 12.6490i | − | 0.439055i | ||||||
\(831\) | 8.57874 | − | 28.0195i | 0.297593 | − | 0.971984i | ||||
\(832\) | −3.14302 | − | 1.76675i | −0.108965 | − | 0.0612511i | ||||
\(833\) | −0.329518 | − | 18.5299i | −0.0114171 | − | 0.642025i | ||||
\(834\) | 0.143430 | − | 0.468465i | 0.00496658 | − | 0.0162216i | ||||
\(835\) | −7.28823 | + | 12.6236i | −0.252219 | + | 0.436857i | ||||
\(836\) | −6.31225 | − | 10.9331i | −0.218314 | − | 0.378130i | ||||
\(837\) | −19.2150 | + | 3.01959i | −0.664168 | + | 0.104372i | ||||
\(838\) | − | 13.7672i | − | 0.475582i | ||||||
\(839\) | 8.62928 | − | 14.9464i | 0.297916 | − | 0.516005i | −0.677743 | − | 0.735299i | \(-0.737042\pi\) |
0.975659 | + | 0.219293i | \(0.0703752\pi\) | |||||||
\(840\) | −1.85155 | + | 3.01983i | −0.0638844 | + | 0.104194i | ||||
\(841\) | −2.57674 | + | 4.46304i | −0.0888530 | + | 0.153898i | ||||
\(842\) | −4.55609 | − | 2.63046i | −0.157013 | − | 0.0906517i | ||||
\(843\) | −40.0711 | + | 37.3368i | −1.38012 | + | 1.28595i | ||||
\(844\) | 6.57341 | − | 11.3855i | 0.226266 | − | 0.391904i | ||||
\(845\) | −4.82295 | + | 8.81575i | −0.165915 | + | 0.303271i | ||||
\(846\) | −15.7608 | − | 1.11485i | −0.541868 | − | 0.0383293i | ||||
\(847\) | 2.44736 | − | 9.46964i | 0.0840922 | − | 0.325381i | ||||
\(848\) | 3.16257 | − | 1.82591i | 0.108603 | − | 0.0627021i | ||||
\(849\) | 0.864409 | − | 0.805424i | 0.0296664 | − | 0.0276421i | ||||
\(850\) | −10.0943 | − | 5.82792i | −0.346230 | − | 0.199896i | ||||
\(851\) | 21.3062 | − | 12.3011i | 0.730368 | − | 0.421678i | ||||
\(852\) | 14.2106 | − | 13.2409i | 0.486847 | − | 0.453626i | ||||
\(853\) | − | 1.10853i | − | 0.0379553i | −0.999820 | − | 0.0189776i | \(-0.993959\pi\) | ||
0.999820 | − | 0.0189776i | \(-0.00604113\pi\) | |||||||
\(854\) | 24.5690 | + | 24.1360i | 0.840735 | + | 0.825918i | ||||
\(855\) | 4.74104 | + | 9.74046i | 0.162140 | + | 0.333117i | ||||
\(856\) | −0.605838 | + | 1.04934i | −0.0207071 | + | 0.0358658i | ||||
\(857\) | −17.4478 | + | 30.2204i | −0.596005 | + | 1.03231i | 0.397399 | + | 0.917646i | \(0.369913\pi\) |
−0.993404 | + | 0.114665i | \(0.963421\pi\) | |||||||
\(858\) | 16.1931 | + | 4.75490i | 0.552823 | + | 0.162330i | ||||
\(859\) | −17.5635 | + | 10.1403i | −0.599259 | + | 0.345982i | −0.768750 | − | 0.639550i | \(-0.779121\pi\) |
0.169491 | + | 0.985532i | \(0.445788\pi\) | |||||||
\(860\) | −4.37657 | − | 7.58044i | −0.149240 | − | 0.258491i | ||||
\(861\) | 38.2869 | + | 23.4748i | 1.30481 | + | 0.800020i | ||||
\(862\) | 11.0492 | − | 19.1377i | 0.376336 | − | 0.651833i | ||||
\(863\) | −36.5693 | + | 21.1133i | −1.24484 | + | 0.718706i | −0.970075 | − | 0.242807i | \(-0.921932\pi\) |
−0.274760 | + | 0.961513i | \(0.588599\pi\) | |||||||
\(864\) | 1.86799 | − | 4.84877i | 0.0635503 | − | 0.164959i | ||||
\(865\) | −4.64492 | − | 8.04523i | −0.157932 | − | 0.273546i | ||||
\(866\) | −0.403262 | − | 0.698470i | −0.0137034 | − | 0.0237350i | ||||
\(867\) | −16.8621 | + | 3.88577i | −0.572665 | + | 0.131968i | ||||
\(868\) | −9.58882 | − | 2.47816i | −0.325466 | − | 0.0841143i | ||||
\(869\) | 24.0891 | − | 13.9078i | 0.817165 | − | 0.471791i | ||||
\(870\) | −1.91404 | + | 6.25154i | −0.0648919 | + | 0.211947i | ||||
\(871\) | −21.8169 | − | 12.2637i | −0.739236 | − | 0.415539i | ||||
\(872\) | 6.63447 | + | 3.83041i | 0.224671 | + | 0.129714i | ||||
\(873\) | −13.3223 | + | 19.7169i | −0.450892 | + | 0.667316i | ||||
\(874\) | 21.7875 | − | 12.5790i | 0.736972 | − | 0.425491i | ||||
\(875\) | 4.81157 | − | 18.6176i | 0.162661 | − | 0.629389i | ||||
\(876\) | 13.1637 | − | 12.2654i | 0.444759 | − | 0.414410i | ||||
\(877\) | 19.6485 | 0.663484 | 0.331742 | − | 0.943370i | \(-0.392364\pi\) | ||||
0.331742 | + | 0.943370i | \(0.392364\pi\) | |||||||
\(878\) | 11.0564 | + | 19.1502i | 0.373134 | + | 0.646287i | ||||
\(879\) | −13.1652 | + | 3.03384i | −0.444051 | + | 0.102329i | ||||
\(880\) | 2.08895i | 0.0704184i | ||||||||
\(881\) | 3.68778 | + | 6.38743i | 0.124245 | + | 0.215198i | 0.921437 | − | 0.388527i | \(-0.127016\pi\) |
−0.797193 | + | 0.603725i | \(0.793683\pi\) | |||||||
\(882\) | −18.7157 | + | 9.52488i | −0.630190 | + | 0.320719i | ||||
\(883\) | 40.9675 | 1.37867 | 0.689333 | − | 0.724445i | \(-0.257904\pi\) | ||||
0.689333 | + | 0.724445i | \(0.257904\pi\) | |||||||
\(884\) | −8.21156 | + | 4.86769i | −0.276184 | + | 0.163718i | ||||
\(885\) | −14.6445 | + | 3.37475i | −0.492271 | + | 0.113441i | ||||
\(886\) | −26.5115 | −0.890672 | ||||||||
\(887\) | −11.1082 | + | 19.2399i | −0.372976 | + | 0.646014i | −0.990022 | − | 0.140913i | \(-0.954996\pi\) |
0.617045 | + | 0.786927i | \(0.288329\pi\) | |||||||
\(888\) | −1.77684 | − | 7.71048i | −0.0596268 | − | 0.258747i | ||||
\(889\) | −18.5115 | + | 5.13697i | −0.620857 | + | 0.172288i | ||||
\(890\) | −6.92833 | − | 4.00007i | −0.232238 | − | 0.134083i | ||||
\(891\) | −3.42373 | + | 24.0798i | −0.114699 | + | 0.806705i | ||||
\(892\) | 2.33020 | + | 1.34534i | 0.0780209 | + | 0.0450454i | ||||
\(893\) | −21.3073 | + | 12.3018i | −0.713022 | + | 0.411663i | ||||
\(894\) | 0.674544 | − | 0.155445i | 0.0225601 | − | 0.00519885i | ||||
\(895\) | −9.16845 | + | 5.29341i | −0.306467 | + | 0.176939i | ||||
\(896\) | 1.85412 | − | 1.88739i | 0.0619419 | − | 0.0630532i | ||||
\(897\) | −9.47553 | + | 32.2695i | −0.316379 | + | 1.07745i | ||||
\(898\) | 18.8011 | + | 32.5645i | 0.627401 | + | 1.08669i | ||||
\(899\) | −18.2797 | −0.609662 | ||||||||
\(900\) | −0.931910 | + | 13.1746i | −0.0310637 | + | 0.439152i | ||||
\(901\) | − | 9.66840i | − | 0.322101i | ||||||
\(902\) | 26.4847 | 0.881845 | ||||||||
\(903\) | 1.37075 | − | 51.8742i | 0.0456158 | − | 1.72627i | ||||
\(904\) | 5.13381 | − | 8.89202i | 0.170748 | − | 0.295744i | ||||
\(905\) | −8.72930 | + | 5.03986i | −0.290172 | + | 0.167531i | ||||
\(906\) | 11.9287 | + | 3.65223i | 0.396306 | + | 0.121337i | ||||
\(907\) | −42.1902 | −1.40090 | −0.700452 | − | 0.713700i | \(-0.747018\pi\) | ||||
−0.700452 | + | 0.713700i | \(0.747018\pi\) | |||||||
\(908\) | 2.64013 | − | 4.57284i | 0.0876158 | − | 0.151755i | ||||
\(909\) | 2.15212 | − | 30.4249i | 0.0713813 | − | 1.00913i | ||||
\(910\) | −5.31928 | − | 5.10668i | −0.176333 | − | 0.169285i | ||||
\(911\) | − | 22.5763i | − | 0.747985i | −0.927432 | − | 0.373992i | \(-0.877989\pi\) | ||
0.927432 | − | 0.373992i | \(-0.122011\pi\) | |||||||
\(912\) | −1.81697 | − | 7.88464i | −0.0601660 | − | 0.261087i | ||||
\(913\) | − | 44.2226i | − | 1.46355i | ||||||
\(914\) | 16.5464 | − | 9.55304i | 0.547305 | − | 0.315987i | ||||
\(915\) | −16.6649 | − | 5.10229i | −0.550923 | − | 0.168677i | ||||
\(916\) | 22.9130 | + | 13.2288i | 0.757068 | + | 0.437093i | ||||
\(917\) | 27.9510 | − | 7.75644i | 0.923025 | − | 0.256140i | ||||
\(918\) | −8.64471 | − | 10.7017i | −0.285318 | − | 0.353209i | ||||
\(919\) | 10.0764 | 0.332389 | 0.166195 | − | 0.986093i | \(-0.446852\pi\) | ||||
0.166195 | + | 0.986093i | \(0.446852\pi\) | |||||||
\(920\) | −4.16284 | −0.137245 | ||||||||
\(921\) | −2.05678 | + | 1.91643i | −0.0677733 | + | 0.0631486i | ||||
\(922\) | 3.71257 | − | 2.14345i | 0.122267 | − | 0.0705909i | ||||
\(923\) | 20.6176 | + | 34.7810i | 0.678638 | + | 1.14483i | ||||
\(924\) | −6.47323 | + | 10.5577i | −0.212953 | + | 0.347323i | ||||
\(925\) | 10.0560 | + | 17.4175i | 0.330640 | + | 0.572685i | ||||
\(926\) | −26.4662 | − | 15.2803i | −0.869733 | − | 0.502141i | ||||
\(927\) | 12.1524 | + | 24.9671i | 0.399138 | + | 0.820029i | ||||
\(928\) | 2.44165 | − | 4.22905i | 0.0801509 | − | 0.138825i | ||||
\(929\) | 7.56797 | 0.248297 | 0.124149 | − | 0.992264i | \(-0.460380\pi\) | ||||
0.124149 | + | 0.992264i | \(0.460380\pi\) | |||||||
\(930\) | 4.88373 | − | 1.12543i | 0.160144 | − | 0.0369043i | ||||
\(931\) | −15.8442 | + | 28.6057i | −0.519272 | + | 0.937516i | ||||
\(932\) | 3.01825 | + | 1.74259i | 0.0988662 | + | 0.0570804i | ||||
\(933\) | 51.3057 | − | 11.8231i | 1.67967 | − | 0.387071i | ||||
\(934\) | − | 19.3064i | − | 0.631726i | ||||||
\(935\) | 4.78964 | + | 2.76530i | 0.156638 | + | 0.0904350i | ||||
\(936\) | 9.03158 | + | 5.95236i | 0.295206 | + | 0.194559i | ||||
\(937\) | − | 47.8920i | − | 1.56456i | −0.622925 | − | 0.782282i | \(-0.714056\pi\) | ||
0.622925 | − | 0.782282i | \(-0.285944\pi\) | |||||||
\(938\) | 12.8701 | − | 13.1010i | 0.420225 | − | 0.427764i | ||||
\(939\) | −8.22306 | − | 2.51766i | −0.268349 | − | 0.0821607i | ||||
\(940\) | 4.07110 | 0.132785 | ||||||||
\(941\) | −7.73208 | + | 13.3924i | −0.252059 | + | 0.436578i | −0.964092 | − | 0.265567i | \(-0.914441\pi\) |
0.712034 | + | 0.702145i | \(0.247774\pi\) | |||||||
\(942\) | 6.13337 | − | 20.0325i | 0.199836 | − | 0.652694i | ||||
\(943\) | 52.7785i | 1.71871i | ||||||||
\(944\) | 11.2248 | 0.365337 | ||||||||
\(945\) | 6.18002 | − | 8.64498i | 0.201036 | − | 0.281221i | ||||
\(946\) | −15.3010 | − | 26.5021i | −0.497479 | − | 0.861659i | ||||
\(947\) | 3.97730 | + | 2.29629i | 0.129245 | + | 0.0746196i | 0.563228 | − | 0.826301i | \(-0.309559\pi\) |
−0.433984 | + | 0.900921i | \(0.642892\pi\) | |||||||
\(948\) | 17.3723 | − | 4.00335i | 0.564226 | − | 0.130023i | ||||
\(949\) | 19.0987 | + | 32.2186i | 0.619969 | + | 1.04586i | ||||
\(950\) | 10.2831 | + | 17.8109i | 0.333629 | + | 0.577863i | ||||
\(951\) | 22.1626 | + | 6.78554i | 0.718672 | + | 0.220036i | ||||
\(952\) | −1.87305 | − | 6.74970i | −0.0607059 | − | 0.218759i | ||||
\(953\) | −45.1678 | − | 26.0776i | −1.46313 | − | 0.844737i | −0.463973 | − | 0.885849i | \(-0.653577\pi\) |
−0.999155 | + | 0.0411118i | \(0.986910\pi\) | |||||||
\(954\) | −9.85057 | + | 4.79464i | −0.318924 | + | 0.155232i | ||||
\(955\) | −1.29894 | + | 0.749942i | −0.0420326 | + | 0.0242675i | ||||
\(956\) | −9.52638 | + | 5.50006i | −0.308105 | + | 0.177885i | ||||
\(957\) | −6.69170 | + | 21.8561i | −0.216312 | + | 0.706508i | ||||
\(958\) | −32.5686 | − | 18.8035i | −1.05224 | − | 0.607512i | ||||
\(959\) | −3.52840 | − | 12.7149i | −0.113938 | − | 0.410586i | ||||
\(960\) | −0.391956 | + | 1.28019i | −0.0126503 | + | 0.0413179i | ||||
\(961\) | −8.49380 | − | 14.7117i | −0.273994 | − | 0.474571i | ||||
\(962\) | 16.4702 | − | 0.189393i | 0.531022 | − | 0.00610628i | ||||
\(963\) | 2.03511 | − | 3.01194i | 0.0655804 | − | 0.0970583i | ||||
\(964\) | 2.00211 | + | 1.15592i | 0.0644837 | + | 0.0372297i | ||||
\(965\) | 3.88253 | + | 6.72474i | 0.124983 | + | 0.216477i | ||||
\(966\) | −21.0393 | − | 12.8998i | −0.676928 | − | 0.415044i | ||||
\(967\) | 54.0463 | 1.73801 | 0.869006 | − | 0.494802i | \(-0.164759\pi\) | ||||
0.869006 | + | 0.494802i | \(0.164759\pi\) | |||||||
\(968\) | − | 3.69679i | − | 0.118819i | ||||||
\(969\) | −20.4836 | − | 6.27147i | −0.658027 | − | 0.201468i | ||||
\(970\) | 3.06563 | − | 5.30983i | 0.0984314 | − | 0.170488i | ||||
\(971\) | −38.2786 | −1.22842 | −0.614209 | − | 0.789143i | \(-0.710525\pi\) | ||||
−0.614209 | + | 0.789143i | \(0.710525\pi\) | |||||||
\(972\) | −6.61638 | + | 14.1147i | −0.212220 | + | 0.452728i | ||||
\(973\) | −0.524459 | + | 0.533869i | −0.0168134 | + | 0.0171150i | ||||
\(974\) | − | 35.0418i | − | 1.12281i | ||||||
\(975\) | −26.3798 | − | 7.74611i | −0.844830 | − | 0.248074i | ||||
\(976\) | 11.2735 | + | 6.50875i | 0.360855 | + | 0.208340i | ||||
\(977\) | 48.6766i | 1.55730i | 0.627458 | + | 0.778651i | \(0.284095\pi\) | ||||
−0.627458 | + | 0.778651i | \(0.715905\pi\) | |||||||
\(978\) | −3.67349 | − | 15.9409i | −0.117465 | − | 0.509733i | ||||
\(979\) | −24.2223 | − | 13.9847i | −0.774147 | − | 0.446954i | ||||
\(980\) | 4.63712 | − | 2.78834i | 0.148128 | − | 0.0890701i | ||||
\(981\) | −19.0430 | − | 12.8670i | −0.607995 | − | 0.410810i | ||||
\(982\) | −24.4859 | −0.781375 | ||||||||
\(983\) | −10.2329 | + | 17.7240i | −0.326380 | + | 0.565307i | −0.981791 | − | 0.189966i | \(-0.939162\pi\) |
0.655411 | + | 0.755273i | \(0.272496\pi\) | |||||||
\(984\) | 16.2309 | + | 4.96942i | 0.517422 | + | 0.158419i | ||||
\(985\) | −1.97582 | − | 1.14074i | −0.0629547 | − | 0.0363469i | ||||
\(986\) | −6.46439 | − | 11.1966i | −0.205868 | − | 0.356574i | ||||
\(987\) | 20.5756 | + | 12.6155i | 0.654929 | + | 0.401556i | ||||
\(988\) | 16.8423 | − | 0.193671i | 0.535823 | − | 0.00616150i | ||||
\(989\) | 52.8132 | − | 30.4917i | 1.67936 | − | 0.969581i | ||||
\(990\) | 0.442184 | − | 6.25123i | 0.0140535 | − | 0.198677i | ||||
\(991\) | −38.6798 | −1.22870 | −0.614352 | − | 0.789032i | \(-0.710583\pi\) | ||||
−0.614352 | + | 0.789032i | \(0.710583\pi\) | |||||||
\(992\) | −3.74331 | −0.118850 | ||||||||
\(993\) | 34.8497 | + | 37.4019i | 1.10592 | + | 1.18691i | ||||
\(994\) | −28.5891 | + | 7.93352i | −0.906792 | + | 0.251636i | ||||
\(995\) | 1.87461 | + | 1.08231i | 0.0594292 | + | 0.0343115i | ||||
\(996\) | 8.29763 | − | 27.1013i | 0.262920 | − | 0.858738i | ||||
\(997\) | 2.45283 | − | 1.41614i | 0.0776819 | − | 0.0448497i | −0.460656 | − | 0.887579i | \(-0.652386\pi\) |
0.538338 | + | 0.842729i | \(0.319052\pi\) | |||||||
\(998\) | − | 19.8967i | − | 0.629820i | ||||||
\(999\) | 3.68509 | + | 23.4499i | 0.116591 | + | 0.741923i |
(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 | 546.2.u.a.185.6 | ✓ | 76 | |
3.2 | odd | 2 | inner | 546.2.u.a.185.33 | yes | 76 | |
7.5 | odd | 6 | 546.2.bb.a.341.20 | yes | 76 | ||
13.9 | even | 3 | 546.2.bb.a.269.27 | yes | 76 | ||
21.5 | even | 6 | 546.2.bb.a.341.8 | yes | 76 | ||
39.35 | odd | 6 | 546.2.bb.a.269.1 | yes | 76 | ||
91.61 | odd | 6 | inner | 546.2.u.a.425.33 | yes | 76 | |
273.152 | even | 6 | inner | 546.2.u.a.425.6 | yes | 76 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.u.a.185.6 | ✓ | 76 | 1.1 | even | 1 | trivial | |
546.2.u.a.185.33 | yes | 76 | 3.2 | odd | 2 | inner | |
546.2.u.a.425.6 | yes | 76 | 273.152 | even | 6 | inner | |
546.2.u.a.425.33 | yes | 76 | 91.61 | odd | 6 | inner | |
546.2.bb.a.269.1 | yes | 76 | 39.35 | odd | 6 | ||
546.2.bb.a.269.27 | yes | 76 | 13.9 | even | 3 | ||
546.2.bb.a.341.8 | yes | 76 | 21.5 | even | 6 | ||
546.2.bb.a.341.20 | yes | 76 | 7.5 | odd | 6 |