Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(4,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([14, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.z (of order \(21\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 142.50 | ||
Character | \(\chi\) | \(=\) | 441.142 |
Dual form | 441.2.z.a.382.50 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{4}{21}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.880400 | − | 2.24322i | 0.622537 | − | 1.58620i | −0.176092 | − | 0.984374i | \(-0.556346\pi\) |
0.798629 | − | 0.601824i | \(-0.205559\pi\) | |||||||
\(3\) | −0.697542 | + | 1.58538i | −0.402726 | + | 0.915321i | ||||
\(4\) | −2.79084 | − | 2.58952i | −1.39542 | − | 1.29476i | ||||
\(5\) | −0.193333 | + | 0.0931042i | −0.0864611 | + | 0.0416375i | −0.476615 | − | 0.879112i | \(-0.658136\pi\) |
0.390153 | + | 0.920750i | \(0.372422\pi\) | |||||||
\(6\) | 2.94225 | + | 2.96051i | 1.20117 | + | 1.20862i | ||||
\(7\) | −2.55672 | − | 0.680587i | −0.966348 | − | 0.257238i | ||||
\(8\) | −3.92360 | + | 1.88951i | −1.38720 | + | 0.668041i | ||||
\(9\) | −2.02687 | − | 2.21174i | −0.675624 | − | 0.737247i | ||||
\(10\) | 0.0386432 | + | 0.515658i | 0.0122200 | + | 0.163065i | ||||
\(11\) | −2.29711 | − | 2.88048i | −0.692605 | − | 0.868499i | 0.303842 | − | 0.952722i | \(-0.401730\pi\) |
−0.996447 | + | 0.0842236i | \(0.973159\pi\) | |||||||
\(12\) | 6.05210 | − | 2.61825i | 1.74709 | − | 0.755822i | ||||
\(13\) | 1.02958 | − | 2.62332i | 0.285554 | − | 0.727579i | −0.714068 | − | 0.700076i | \(-0.753149\pi\) |
0.999622 | − | 0.0275027i | \(-0.00875548\pi\) | |||||||
\(14\) | −3.77764 | + | 5.13609i | −1.00962 | + | 1.37268i | ||||
\(15\) | −0.0127480 | − | 0.371451i | −0.00329152 | − | 0.0959081i | ||||
\(16\) | 0.215228 | + | 2.87202i | 0.0538071 | + | 0.718006i | ||||
\(17\) | −4.84728 | + | 4.49762i | −1.17564 | + | 1.09083i | −0.181425 | + | 0.983405i | \(0.558071\pi\) |
−0.994213 | + | 0.107428i | \(0.965739\pi\) | |||||||
\(18\) | −6.74588 | + | 2.59951i | −1.59002 | + | 0.612710i | ||||
\(19\) | −2.18628 | + | 3.78675i | −0.501567 | + | 0.868740i | 0.498431 | + | 0.866929i | \(0.333910\pi\) |
−0.999998 | + | 0.00181047i | \(0.999424\pi\) | |||||||
\(20\) | 0.780656 | + | 0.240800i | 0.174560 | + | 0.0538446i | ||||
\(21\) | 2.86241 | − | 3.57864i | 0.624628 | − | 0.780922i | ||||
\(22\) | −8.48394 | + | 2.61695i | −1.80878 | + | 0.557935i | ||||
\(23\) | 1.32859 | − | 5.82093i | 0.277030 | − | 1.21375i | −0.624497 | − | 0.781027i | \(-0.714696\pi\) |
0.901528 | − | 0.432722i | \(-0.142447\pi\) | |||||||
\(24\) | −0.258715 | − | 7.53841i | −0.0528099 | − | 1.53877i | ||||
\(25\) | −3.08874 | + | 3.87316i | −0.617748 | + | 0.774631i | ||||
\(26\) | −4.97826 | − | 4.61915i | −0.976316 | − | 0.905889i | ||||
\(27\) | 4.92028 | − | 1.67059i | 0.946908 | − | 0.321504i | ||||
\(28\) | 5.37299 | + | 8.52007i | 1.01540 | + | 1.61014i | ||||
\(29\) | −4.39860 | − | 1.35679i | −0.816800 | − | 0.251949i | −0.141921 | − | 0.989878i | \(-0.545328\pi\) |
−0.674879 | + | 0.737929i | \(0.735804\pi\) | |||||||
\(30\) | −0.844469 | − | 0.298428i | −0.154178 | − | 0.0544853i | ||||
\(31\) | 3.77434 | − | 6.53735i | 0.677892 | − | 1.17414i | −0.297723 | − | 0.954652i | \(-0.596227\pi\) |
0.975615 | − | 0.219491i | \(-0.0704396\pi\) | |||||||
\(32\) | −1.69072 | − | 0.521517i | −0.298879 | − | 0.0921920i | ||||
\(33\) | 6.16900 | − | 1.63254i | 1.07388 | − | 0.284188i | ||||
\(34\) | 5.82161 | + | 14.8332i | 0.998398 | + | 2.54388i | ||||
\(35\) | 0.557663 | − | 0.106461i | 0.0942623 | − | 0.0179952i | ||||
\(36\) | −0.0706720 | + | 11.4212i | −0.0117787 | + | 1.90354i | ||||
\(37\) | 4.89040 | + | 1.50849i | 0.803978 | + | 0.247994i | 0.669394 | − | 0.742908i | \(-0.266554\pi\) |
0.134584 | + | 0.990902i | \(0.457030\pi\) | |||||||
\(38\) | 6.56972 | + | 8.23816i | 1.06575 | + | 1.33641i | ||||
\(39\) | 3.44080 | + | 3.46215i | 0.550968 | + | 0.554388i | ||||
\(40\) | 0.582640 | − | 0.730607i | 0.0921235 | − | 0.115519i | ||||
\(41\) | 2.47625 | + | 1.68828i | 0.386725 | + | 0.263665i | 0.741039 | − | 0.671462i | \(-0.234333\pi\) |
−0.354314 | + | 0.935126i | \(0.615286\pi\) | |||||||
\(42\) | −5.50761 | − | 9.57164i | −0.849843 | − | 1.47694i | ||||
\(43\) | −2.32210 | + | 1.58318i | −0.354117 | + | 0.241433i | −0.727292 | − | 0.686328i | \(-0.759222\pi\) |
0.373175 | + | 0.927761i | \(0.378269\pi\) | |||||||
\(44\) | −1.04821 | + | 13.9874i | −0.158023 | + | 2.10868i | ||||
\(45\) | 0.597783 | + | 0.238892i | 0.0891123 | + | 0.0356119i | ||||
\(46\) | −11.8880 | − | 8.10507i | −1.75278 | − | 1.19503i | ||||
\(47\) | 4.35634 | − | 11.0998i | 0.635437 | − | 1.61907i | −0.141826 | − | 0.989892i | \(-0.545297\pi\) |
0.777263 | − | 0.629175i | \(-0.216607\pi\) | |||||||
\(48\) | −4.70338 | − | 1.66214i | −0.678875 | − | 0.239909i | ||||
\(49\) | 6.07360 | + | 3.48014i | 0.867658 | + | 0.497162i | ||||
\(50\) | 5.96902 | + | 10.3387i | 0.844148 | + | 1.46211i | ||||
\(51\) | −3.74926 | − | 10.8221i | −0.525002 | − | 1.51539i | ||||
\(52\) | −9.66653 | + | 4.65515i | −1.34051 | + | 0.645554i | ||||
\(53\) | 8.19250 | − | 2.52705i | 1.12533 | − | 0.347117i | 0.324423 | − | 0.945912i | \(-0.394830\pi\) |
0.800902 | + | 0.598795i | \(0.204354\pi\) | |||||||
\(54\) | 0.584319 | − | 12.5081i | 0.0795157 | − | 1.70213i | ||||
\(55\) | 0.712292 | + | 0.343022i | 0.0960455 | + | 0.0462531i | ||||
\(56\) | 11.3175 | − | 2.16058i | 1.51237 | − | 0.288720i | ||||
\(57\) | −4.47842 | − | 6.10750i | −0.593181 | − | 0.808959i | ||||
\(58\) | −6.91611 | + | 8.67252i | −0.908129 | + | 1.13876i | ||||
\(59\) | −0.335033 | + | 0.228422i | −0.0436176 | + | 0.0297380i | −0.584933 | − | 0.811082i | \(-0.698879\pi\) |
0.541315 | + | 0.840820i | \(0.317927\pi\) | |||||||
\(60\) | −0.926300 | + | 1.06967i | −0.119585 | + | 0.138094i | ||||
\(61\) | −1.92296 | + | 1.78425i | −0.246210 | + | 0.228449i | −0.793618 | − | 0.608416i | \(-0.791805\pi\) |
0.547408 | + | 0.836866i | \(0.315615\pi\) | |||||||
\(62\) | −11.3418 | − | 14.2222i | −1.44041 | − | 1.80622i | ||||
\(63\) | 3.67686 | + | 7.03425i | 0.463240 | + | 0.886233i | ||||
\(64\) | −6.24978 | + | 7.83698i | −0.781222 | + | 0.979622i | ||||
\(65\) | 0.0451911 | + | 0.603033i | 0.00560526 | + | 0.0747970i | ||||
\(66\) | 1.76904 | − | 15.2757i | 0.217753 | − | 1.88031i | ||||
\(67\) | 1.73584 | − | 3.00657i | 0.212067 | − | 0.367311i | −0.740294 | − | 0.672283i | \(-0.765314\pi\) |
0.952361 | + | 0.304972i | \(0.0986472\pi\) | |||||||
\(68\) | 25.1746 | 3.05287 | ||||||||
\(69\) | 8.30166 | + | 6.16667i | 0.999402 | + | 0.742379i | ||||
\(70\) | 0.252150 | − | 1.34469i | 0.0301377 | − | 0.160721i | ||||
\(71\) | 2.75563 | − | 12.0732i | 0.327033 | − | 1.43283i | −0.497722 | − | 0.867337i | \(-0.665830\pi\) |
0.824755 | − | 0.565490i | \(-0.191313\pi\) | |||||||
\(72\) | 12.1317 | + | 4.84820i | 1.42974 | + | 0.571365i | ||||
\(73\) | −6.79516 | − | 1.02420i | −0.795313 | − | 0.119874i | −0.261197 | − | 0.965285i | \(-0.584117\pi\) |
−0.534116 | + | 0.845411i | \(0.679355\pi\) | |||||||
\(74\) | 7.68939 | − | 9.64219i | 0.893873 | − | 1.12088i | ||||
\(75\) | −3.98591 | − | 7.59852i | −0.460253 | − | 0.877402i | ||||
\(76\) | 15.9074 | − | 4.90678i | 1.82470 | − | 0.562847i | ||||
\(77\) | 3.91264 | + | 8.92797i | 0.445887 | + | 1.01744i | ||||
\(78\) | 10.7957 | − | 4.67039i | 1.22237 | − | 0.528818i | ||||
\(79\) | 6.35142 | + | 11.0010i | 0.714591 | + | 1.23771i | 0.963117 | + | 0.269083i | \(0.0867205\pi\) |
−0.248526 | + | 0.968625i | \(0.579946\pi\) | |||||||
\(80\) | −0.309008 | − | 0.535218i | −0.0345482 | − | 0.0598392i | ||||
\(81\) | −0.783584 | + | 8.96582i | −0.0870648 | + | 0.996203i | ||||
\(82\) | 5.96727 | − | 4.06842i | 0.658975 | − | 0.449281i | ||||
\(83\) | −2.74963 | − | 7.00595i | −0.301811 | − | 0.769003i | −0.998658 | − | 0.0517828i | \(-0.983510\pi\) |
0.696847 | − | 0.717220i | \(-0.254586\pi\) | |||||||
\(84\) | −17.2554 | + | 2.57513i | −1.88272 | + | 0.280970i | ||||
\(85\) | 0.518391 | − | 1.32084i | 0.0562274 | − | 0.143265i | ||||
\(86\) | 1.50705 | + | 6.60282i | 0.162510 | + | 0.712001i | ||||
\(87\) | 5.21924 | − | 6.02705i | 0.559561 | − | 0.646167i | ||||
\(88\) | 14.4556 | + | 6.96147i | 1.54098 | + | 0.742095i | ||||
\(89\) | 0.422006 | + | 1.07525i | 0.0447325 | + | 0.113977i | 0.951494 | − | 0.307667i | \(-0.0995484\pi\) |
−0.906761 | + | 0.421644i | \(0.861453\pi\) | |||||||
\(90\) | 1.06218 | − | 1.13064i | 0.111963 | − | 0.119180i | ||||
\(91\) | −4.41774 | + | 6.00638i | −0.463105 | + | 0.629639i | ||||
\(92\) | −18.7813 | + | 12.8049i | −1.95809 | + | 1.33500i | ||||
\(93\) | 7.73144 | + | 10.5439i | 0.801713 | + | 1.09335i | ||||
\(94\) | −21.0639 | − | 19.5445i | −2.17258 | − | 2.01586i | ||||
\(95\) | 0.0701177 | − | 0.935655i | 0.00719392 | − | 0.0959962i | ||||
\(96\) | 2.00615 | − | 2.31665i | 0.204752 | − | 0.236442i | ||||
\(97\) | 2.51382 | − | 4.35407i | 0.255240 | − | 0.442089i | −0.709721 | − | 0.704483i | \(-0.751179\pi\) |
0.964961 | + | 0.262395i | \(0.0845122\pi\) | |||||||
\(98\) | 13.1539 | − | 10.5605i | 1.32875 | − | 1.06677i | ||||
\(99\) | −1.71494 | + | 10.9190i | −0.172357 | + | 1.09740i | ||||
\(100\) | 18.6498 | − | 2.81100i | 1.86498 | − | 0.281100i | ||||
\(101\) | −2.04912 | + | 0.986805i | −0.203895 | + | 0.0981908i | −0.533045 | − | 0.846087i | \(-0.678952\pi\) |
0.329150 | + | 0.944278i | \(0.393238\pi\) | |||||||
\(102\) | −27.5771 | − | 1.11731i | −2.73054 | − | 0.110630i | ||||
\(103\) | −13.6156 | + | 6.55694i | −1.34159 | + | 0.646075i | −0.960452 | − | 0.278445i | \(-0.910181\pi\) |
−0.381135 | + | 0.924519i | \(0.624467\pi\) | |||||||
\(104\) | 0.917131 | + | 12.2383i | 0.0899321 | + | 1.20006i | ||||
\(105\) | −0.220211 | + | 0.958370i | −0.0214904 | + | 0.0935273i | ||||
\(106\) | 1.54394 | − | 20.6024i | 0.149960 | − | 2.00108i | ||||
\(107\) | −1.46822 | − | 3.74096i | −0.141938 | − | 0.361652i | 0.842173 | − | 0.539208i | \(-0.181276\pi\) |
−0.984111 | + | 0.177556i | \(0.943181\pi\) | |||||||
\(108\) | −18.0577 | − | 8.07882i | −1.73760 | − | 0.777385i | ||||
\(109\) | −3.86233 | + | 9.84105i | −0.369944 | + | 0.942601i | 0.617774 | + | 0.786355i | \(0.288034\pi\) |
−0.987718 | + | 0.156246i | \(0.950061\pi\) | |||||||
\(110\) | 1.39658 | − | 1.29583i | 0.133158 | − | 0.123553i | ||||
\(111\) | −5.80279 | + | 6.70092i | −0.550777 | + | 0.636024i | ||||
\(112\) | 1.40438 | − | 7.48943i | 0.132702 | − | 0.707685i | ||||
\(113\) | −12.4329 | − | 1.87395i | −1.16958 | − | 0.176286i | −0.464607 | − | 0.885517i | \(-0.653805\pi\) |
−0.704977 | + | 0.709230i | \(0.749043\pi\) | |||||||
\(114\) | −17.6433 | + | 4.66905i | −1.65245 | + | 0.437296i | ||||
\(115\) | 0.285093 | + | 1.24908i | 0.0265851 | + | 0.116477i | ||||
\(116\) | 8.76235 | + | 15.1768i | 0.813564 | + | 1.40913i | ||||
\(117\) | −7.88893 | + | 3.03998i | −0.729332 | + | 0.281046i | ||||
\(118\) | 0.217438 | + | 0.952656i | 0.0200168 | + | 0.0876991i | ||||
\(119\) | 15.4541 | − | 8.20014i | 1.41668 | − | 0.751706i | ||||
\(120\) | 0.751876 | + | 1.43334i | 0.0686366 | + | 0.130845i | ||||
\(121\) | −0.572748 | + | 2.50937i | −0.0520680 | + | 0.228125i | ||||
\(122\) | 2.30949 | + | 5.88448i | 0.209091 | + | 0.532756i | ||||
\(123\) | −4.40385 | + | 2.74816i | −0.397082 | + | 0.247793i | ||||
\(124\) | −27.4622 | + | 8.47096i | −2.46618 | + | 0.760714i | ||||
\(125\) | 0.475294 | − | 2.08240i | 0.0425116 | − | 0.186256i | ||||
\(126\) | 19.0165 | − | 2.05505i | 1.69412 | − | 0.183078i | ||||
\(127\) | −2.97752 | − | 13.0454i | −0.264212 | − | 1.15759i | −0.916632 | − | 0.399732i | \(-0.869103\pi\) |
0.652420 | − | 0.757858i | \(-0.273754\pi\) | |||||||
\(128\) | 10.3084 | + | 17.8548i | 0.911147 | + | 1.57815i | ||||
\(129\) | −0.890186 | − | 4.78576i | −0.0783765 | − | 0.421362i | ||||
\(130\) | 1.39252 | + | 0.429536i | 0.122132 | + | 0.0376728i | ||||
\(131\) | 9.87661 | + | 4.75633i | 0.862924 | + | 0.415562i | 0.812358 | − | 0.583159i | \(-0.198183\pi\) |
0.0505653 | + | 0.998721i | \(0.483898\pi\) | |||||||
\(132\) | −21.4442 | − | 11.4186i | −1.86647 | − | 0.993860i | ||||
\(133\) | 8.16691 | − | 8.19369i | 0.708161 | − | 0.710483i | ||||
\(134\) | −5.21616 | − | 6.54086i | −0.450608 | − | 0.565044i | ||||
\(135\) | −0.795713 | + | 0.781078i | −0.0684841 | + | 0.0672245i | ||||
\(136\) | 10.5205 | − | 26.8058i | 0.902126 | − | 2.29858i | ||||
\(137\) | −4.20870 | − | 2.02680i | −0.359573 | − | 0.173161i | 0.245371 | − | 0.969429i | \(-0.421090\pi\) |
−0.604944 | + | 0.796268i | \(0.706805\pi\) | |||||||
\(138\) | 21.1420 | − | 13.1933i | 1.79972 | − | 1.12309i | ||||
\(139\) | 6.75033 | + | 4.60230i | 0.572556 | + | 0.390362i | 0.814704 | − | 0.579877i | \(-0.196900\pi\) |
−0.242148 | + | 0.970239i | \(0.577852\pi\) | |||||||
\(140\) | −1.83203 | − | 1.14696i | −0.154835 | − | 0.0969360i | ||||
\(141\) | 14.5586 | + | 14.6490i | 1.22606 | + | 1.23367i | ||||
\(142\) | −24.6568 | − | 16.8107i | −2.06916 | − | 1.41073i | ||||
\(143\) | −9.92150 | + | 3.06038i | −0.829677 | + | 0.255922i | ||||
\(144\) | 5.91593 | − | 6.29725i | 0.492994 | − | 0.524771i | ||||
\(145\) | 0.976717 | − | 0.147216i | 0.0811120 | − | 0.0122257i | ||||
\(146\) | −8.27997 | + | 14.3413i | −0.685255 | + | 1.18690i | ||||
\(147\) | −9.75393 | + | 7.20144i | −0.804491 | + | 0.593965i | ||||
\(148\) | −9.74206 | − | 16.8737i | −0.800792 | − | 1.38701i | ||||
\(149\) | −12.6323 | − | 15.8404i | −1.03488 | − | 1.29769i | −0.953624 | − | 0.300999i | \(-0.902680\pi\) |
−0.0812510 | − | 0.996694i | \(-0.525892\pi\) | |||||||
\(150\) | −20.5544 | + | 2.25154i | −1.67826 | + | 0.183838i | ||||
\(151\) | 2.24701 | − | 9.84479i | 0.182859 | − | 0.801157i | −0.797402 | − | 0.603449i | \(-0.793793\pi\) |
0.980261 | − | 0.197709i | \(-0.0633500\pi\) | |||||||
\(152\) | 1.42300 | − | 18.9887i | 0.115421 | − | 1.54019i | ||||
\(153\) | 19.7724 | + | 1.60483i | 1.59850 | + | 0.129742i | ||||
\(154\) | 23.4721 | − | 0.916740i | 1.89144 | − | 0.0738730i | ||||
\(155\) | −0.121049 | + | 1.61529i | −0.00972293 | + | 0.129743i | ||||
\(156\) | −0.637393 | − | 18.5723i | −0.0510323 | − | 1.48697i | ||||
\(157\) | 0.486354 | − | 0.331591i | 0.0388153 | − | 0.0264638i | −0.543757 | − | 0.839243i | \(-0.682999\pi\) |
0.582572 | + | 0.812779i | \(0.302046\pi\) | |||||||
\(158\) | 30.2694 | − | 4.56239i | 2.40811 | − | 0.362964i | ||||
\(159\) | −1.70827 | + | 14.7510i | −0.135474 | + | 1.16983i | ||||
\(160\) | 0.375426 | − | 0.0565864i | 0.0296801 | − | 0.00447355i | ||||
\(161\) | −7.35848 | + | 13.9783i | −0.579930 | + | 1.10164i | ||||
\(162\) | 19.4225 | + | 9.65126i | 1.52597 | + | 0.758275i | ||||
\(163\) | 0.158296 | − | 0.107925i | 0.0123987 | − | 0.00845330i | −0.557105 | − | 0.830442i | \(-0.688088\pi\) |
0.569504 | + | 0.821989i | \(0.307135\pi\) | |||||||
\(164\) | −2.53898 | − | 11.1240i | −0.198261 | − | 0.868638i | ||||
\(165\) | −1.04067 | + | 0.889983i | −0.0810164 | + | 0.0692851i | ||||
\(166\) | −18.1367 | −1.40768 | ||||||||
\(167\) | −8.35456 | + | 7.75190i | −0.646495 | + | 0.599860i | −0.933720 | − | 0.358003i | \(-0.883458\pi\) |
0.287225 | + | 0.957863i | \(0.407267\pi\) | |||||||
\(168\) | −4.46908 | + | 19.4497i | −0.344797 | + | 1.50057i | ||||
\(169\) | 3.70788 | + | 3.44041i | 0.285222 | + | 0.264647i | ||||
\(170\) | −2.50655 | − | 2.32573i | −0.192243 | − | 0.178376i | ||||
\(171\) | 12.8066 | − | 2.83977i | 0.979346 | − | 0.217163i | ||||
\(172\) | 10.5803 | + | 1.59472i | 0.806739 | + | 0.121596i | ||||
\(173\) | −14.4413 | + | 4.45455i | −1.09795 | + | 0.338673i | −0.790234 | − | 0.612805i | \(-0.790041\pi\) |
−0.307717 | + | 0.951478i | \(0.599565\pi\) | |||||||
\(174\) | −8.92499 | − | 17.0141i | −0.676602 | − | 1.28984i | ||||
\(175\) | 10.5331 | − | 7.80041i | 0.796224 | − | 0.589656i | ||||
\(176\) | 7.77841 | − | 7.21731i | 0.586320 | − | 0.544025i | ||||
\(177\) | −0.128436 | − | 0.690489i | −0.00965385 | − | 0.0519004i | ||||
\(178\) | 2.78356 | 0.208637 | ||||||||
\(179\) | 1.90798 | − | 1.77035i | 0.142609 | − | 0.132322i | −0.605643 | − | 0.795737i | \(-0.707084\pi\) |
0.748252 | + | 0.663415i | \(0.230893\pi\) | |||||||
\(180\) | −1.04970 | − | 2.21468i | −0.0782401 | − | 0.165072i | ||||
\(181\) | 4.93229 | − | 6.18490i | 0.366615 | − | 0.459720i | −0.563971 | − | 0.825795i | \(-0.690727\pi\) |
0.930586 | + | 0.366075i | \(0.119298\pi\) | |||||||
\(182\) | 9.58426 | + | 15.1980i | 0.710433 | + | 1.12655i | ||||
\(183\) | −1.48737 | − | 4.29321i | −0.109949 | − | 0.317364i | ||||
\(184\) | 5.78584 | + | 25.3494i | 0.426537 | + | 1.86878i | ||||
\(185\) | −1.08592 | + | 0.163677i | −0.0798386 | + | 0.0120337i | ||||
\(186\) | 30.4590 | − | 8.06053i | 2.23336 | − | 0.591027i | ||||
\(187\) | 24.0901 | + | 3.63099i | 1.76164 | + | 0.265524i | ||||
\(188\) | −40.9009 | + | 19.6968i | −2.98300 | + | 1.43654i | ||||
\(189\) | −13.7167 | + | 0.922537i | −0.997746 | + | 0.0671047i | ||||
\(190\) | −2.03715 | − | 0.981040i | −0.147790 | − | 0.0711721i | ||||
\(191\) | −14.1432 | − | 9.64266i | −1.02336 | − | 0.697718i | −0.0693850 | − | 0.997590i | \(-0.522104\pi\) |
−0.953979 | + | 0.299872i | \(0.903056\pi\) | |||||||
\(192\) | −8.06512 | − | 15.3749i | −0.582050 | − | 1.10959i | ||||
\(193\) | −0.346486 | + | 4.62354i | −0.0249406 | + | 0.332810i | 0.970751 | + | 0.240087i | \(0.0771760\pi\) |
−0.995692 | + | 0.0927225i | \(0.970443\pi\) | |||||||
\(194\) | −7.55397 | − | 9.47238i | −0.542343 | − | 0.680077i | ||||
\(195\) | −0.987560 | − | 0.348995i | −0.0707206 | − | 0.0249921i | ||||
\(196\) | −7.93856 | − | 25.4402i | −0.567040 | − | 1.81716i | ||||
\(197\) | 7.16734 | 0.510652 | 0.255326 | − | 0.966855i | \(-0.417817\pi\) | ||||
0.255326 | + | 0.966855i | \(0.417817\pi\) | |||||||
\(198\) | 22.9839 | + | 13.4600i | 1.63339 | + | 0.956564i | ||||
\(199\) | 8.70814 | + | 5.93711i | 0.617304 | + | 0.420870i | 0.831190 | − | 0.555988i | \(-0.187660\pi\) |
−0.213887 | + | 0.976858i | \(0.568612\pi\) | |||||||
\(200\) | 4.80063 | − | 21.0329i | 0.339455 | − | 1.48725i | ||||
\(201\) | 3.55574 | + | 4.84918i | 0.250802 | + | 0.342035i | ||||
\(202\) | 0.409576 | + | 5.46542i | 0.0288177 | + | 0.384545i | ||||
\(203\) | 10.3226 | + | 6.46256i | 0.724502 | + | 0.453583i | ||||
\(204\) | −17.5603 | + | 39.9114i | −1.22947 | + | 2.79436i | ||||
\(205\) | −0.635926 | − | 0.0958505i | −0.0444150 | − | 0.00669449i | ||||
\(206\) | 2.72148 | + | 36.3156i | 0.189614 | + | 2.53023i | ||||
\(207\) | −15.5673 | + | 8.85979i | −1.08200 | + | 0.615798i | ||||
\(208\) | 7.75584 | + | 2.39236i | 0.537771 | + | 0.165880i | ||||
\(209\) | 15.9298 | − | 2.40103i | 1.10189 | − | 0.166083i | ||||
\(210\) | 1.95596 | + | 1.33773i | 0.134974 | + | 0.0923122i | ||||
\(211\) | −16.7208 | − | 2.52025i | −1.15111 | − | 0.173501i | −0.454360 | − | 0.890818i | \(-0.650132\pi\) |
−0.696747 | + | 0.717317i | \(0.745370\pi\) | |||||||
\(212\) | −29.4078 | − | 14.1620i | −2.01973 | − | 0.972652i | ||||
\(213\) | 17.2185 | + | 12.7903i | 1.17979 | + | 0.876377i | ||||
\(214\) | −9.68442 | −0.662013 | ||||||||
\(215\) | 0.301538 | − | 0.522279i | 0.0205647 | − | 0.0356191i | ||||
\(216\) | −16.1486 | + | 15.8516i | −1.09877 | + | 1.07857i | ||||
\(217\) | −14.0992 | + | 14.1454i | −0.957113 | + | 0.960252i | ||||
\(218\) | 18.6753 | + | 17.3281i | 1.26485 | + | 1.17361i | ||||
\(219\) | 6.36366 | − | 10.0585i | 0.430016 | − | 0.679690i | ||||
\(220\) | −1.09963 | − | 2.80181i | −0.0741370 | − | 0.188898i | ||||
\(221\) | 6.80805 | + | 17.3466i | 0.457959 | + | 1.16686i | ||||
\(222\) | 9.92288 | + | 18.9164i | 0.665980 | + | 1.26959i | ||||
\(223\) | 9.17761 | + | 8.51558i | 0.614578 | + | 0.570245i | 0.924816 | − | 0.380414i | \(-0.124218\pi\) |
−0.310238 | + | 0.950659i | \(0.600409\pi\) | |||||||
\(224\) | 3.96774 | + | 2.48405i | 0.265106 | + | 0.165973i | ||||
\(225\) | 14.8269 | − | 1.01890i | 0.988460 | − | 0.0679269i | ||||
\(226\) | −15.1496 | + | 26.2398i | −1.00773 | + | 1.74545i | ||||
\(227\) | −2.28882 | −0.151914 | −0.0759571 | − | 0.997111i | \(-0.524201\pi\) | ||||
−0.0759571 | + | 0.997111i | \(0.524201\pi\) | |||||||
\(228\) | −3.31695 | + | 28.6420i | −0.219670 | + | 1.89686i | ||||
\(229\) | 2.06426 | + | 0.994093i | 0.136410 | + | 0.0656915i | 0.500844 | − | 0.865538i | \(-0.333023\pi\) |
−0.364434 | + | 0.931229i | \(0.618737\pi\) | |||||||
\(230\) | 3.05295 | + | 0.460158i | 0.201306 | + | 0.0303419i | ||||
\(231\) | −16.8835 | − | 0.0245993i | −1.11085 | − | 0.00161852i | ||||
\(232\) | 19.8220 | − | 2.98769i | 1.30138 | − | 0.196151i | ||||
\(233\) | 17.8252 | + | 5.49834i | 1.16777 | + | 0.360208i | 0.817214 | − | 0.576335i | \(-0.195518\pi\) |
0.350552 | + | 0.936543i | \(0.385994\pi\) | |||||||
\(234\) | −0.126064 | + | 20.3730i | −0.00824104 | + | 1.33183i | ||||
\(235\) | 0.191212 | + | 2.55154i | 0.0124733 | + | 0.166444i | ||||
\(236\) | 1.52653 | + | 0.230087i | 0.0993683 | + | 0.0149774i | ||||
\(237\) | −21.8711 | + | 2.39579i | −1.42068 | + | 0.155623i | ||||
\(238\) | −4.78892 | − | 41.8865i | −0.310419 | − | 2.71510i | ||||
\(239\) | −1.87215 | − | 24.9821i | −0.121100 | − | 1.61596i | −0.645001 | − | 0.764182i | \(-0.723143\pi\) |
0.523901 | − | 0.851779i | \(-0.324476\pi\) | |||||||
\(240\) | 1.06407 | − | 0.116559i | 0.0686855 | − | 0.00752387i | ||||
\(241\) | −5.36651 | + | 23.5122i | −0.345687 | + | 1.51455i | 0.441172 | + | 0.897422i | \(0.354563\pi\) |
−0.786859 | + | 0.617132i | \(0.788294\pi\) | |||||||
\(242\) | 5.12483 | + | 3.49405i | 0.329436 | + | 0.224606i | ||||
\(243\) | −13.6677 | − | 7.49631i | −0.876782 | − | 0.480889i | ||||
\(244\) | 9.98701 | 0.639353 | ||||||||
\(245\) | −1.49824 | − | 0.107347i | −0.0957192 | − | 0.00685813i | ||||
\(246\) | 2.28757 | + | 12.2983i | 0.145850 | + | 0.784111i | ||||
\(247\) | 7.68292 | + | 9.63408i | 0.488852 | + | 0.613002i | ||||
\(248\) | −2.45664 | + | 32.7816i | −0.155997 | + | 2.08163i | ||||
\(249\) | 13.0251 | + | 0.527723i | 0.825431 | + | 0.0334431i | ||||
\(250\) | −4.25284 | − | 2.89953i | −0.268973 | − | 0.183383i | ||||
\(251\) | −8.23052 | − | 3.96361i | −0.519506 | − | 0.250181i | 0.155708 | − | 0.987803i | \(-0.450234\pi\) |
−0.675213 | + | 0.737622i | \(0.735948\pi\) | |||||||
\(252\) | 7.95382 | − | 29.1527i | 0.501044 | − | 1.83645i | ||||
\(253\) | −19.8190 | + | 9.54434i | −1.24601 | + | 0.600048i | ||||
\(254\) | −31.8851 | − | 4.80590i | −2.00065 | − | 0.301549i | ||||
\(255\) | 1.73244 | + | 1.74319i | 0.108489 | + | 0.109163i | ||||
\(256\) | 29.3039 | − | 4.41685i | 1.83149 | − | 0.276053i | ||||
\(257\) | −0.874324 | − | 3.83066i | −0.0545388 | − | 0.238950i | 0.940310 | − | 0.340319i | \(-0.110535\pi\) |
−0.994849 | + | 0.101369i | \(0.967678\pi\) | |||||||
\(258\) | −11.5192 | − | 2.21649i | −0.717156 | − | 0.137993i | ||||
\(259\) | −11.4767 | − | 7.18513i | −0.713129 | − | 0.446462i | ||||
\(260\) | 1.43544 | − | 1.79999i | 0.0890224 | − | 0.111631i | ||||
\(261\) | 5.91454 | + | 12.4786i | 0.366101 | + | 0.772406i | ||||
\(262\) | 19.3649 | − | 17.9680i | 1.19636 | − | 1.11006i | ||||
\(263\) | −6.12295 | −0.377557 | −0.188779 | − | 0.982020i | \(-0.560453\pi\) | ||||
−0.188779 | + | 0.982020i | \(0.560453\pi\) | |||||||
\(264\) | −21.1200 | + | 18.0618i | −1.29985 | + | 1.11163i | ||||
\(265\) | −1.34860 | + | 1.25132i | −0.0828438 | + | 0.0768679i | ||||
\(266\) | −11.1901 | − | 25.5339i | −0.686110 | − | 1.56558i | ||||
\(267\) | −1.99905 | − | 0.0809935i | −0.122340 | − | 0.00495672i | ||||
\(268\) | −12.6300 | + | 3.89584i | −0.771501 | + | 0.237977i | ||||
\(269\) | 27.7248 | + | 4.17884i | 1.69041 | + | 0.254788i | 0.922563 | − | 0.385847i | \(-0.126091\pi\) |
0.767846 | + | 0.640635i | \(0.221329\pi\) | |||||||
\(270\) | 1.05159 | + | 2.47262i | 0.0639974 | + | 0.150479i | ||||
\(271\) | 13.4714 | + | 12.4996i | 0.818327 | + | 0.759296i | 0.973523 | − | 0.228587i | \(-0.0734106\pi\) |
−0.155197 | + | 0.987884i | \(0.549601\pi\) | |||||||
\(272\) | −13.9605 | − | 12.9535i | −0.846482 | − | 0.785420i | ||||
\(273\) | −6.44085 | − | 11.1935i | −0.389818 | − | 0.677462i | ||||
\(274\) | −8.25190 | + | 7.65665i | −0.498516 | + | 0.462555i | ||||
\(275\) | 18.2517 | 1.10062 | ||||||||
\(276\) | −7.19987 | − | 38.7074i | −0.433382 | − | 2.32991i | ||||
\(277\) | −2.79109 | − | 12.2286i | −0.167701 | − | 0.734744i | −0.986913 | − | 0.161254i | \(-0.948446\pi\) |
0.819212 | − | 0.573490i | \(-0.194411\pi\) | |||||||
\(278\) | 16.2670 | − | 11.0906i | 0.975628 | − | 0.665172i | ||||
\(279\) | −22.1090 | + | 4.90251i | −1.32363 | + | 0.293506i | ||||
\(280\) | −1.98689 | + | 1.47142i | −0.118739 | + | 0.0879341i | ||||
\(281\) | −1.64871 | + | 0.248503i | −0.0983539 | + | 0.0148245i | −0.198035 | − | 0.980195i | \(-0.563456\pi\) |
0.0996809 | + | 0.995019i | \(0.468218\pi\) | |||||||
\(282\) | 45.6784 | − | 19.7613i | 2.72011 | − | 1.17677i | ||||
\(283\) | 27.0575 | − | 4.07826i | 1.60840 | − | 0.242427i | 0.717477 | − | 0.696582i | \(-0.245297\pi\) |
0.890923 | + | 0.454154i | \(0.150059\pi\) | |||||||
\(284\) | −38.9543 | + | 26.5586i | −2.31151 | + | 1.57596i | ||||
\(285\) | 1.43446 | + | 0.763822i | 0.0849701 | + | 0.0452449i | ||||
\(286\) | −1.86978 | + | 24.9505i | −0.110562 | + | 1.47535i | ||||
\(287\) | −5.18205 | − | 6.00175i | −0.305887 | − | 0.354272i | ||||
\(288\) | 2.27340 | + | 4.79647i | 0.133962 | + | 0.282635i | ||||
\(289\) | 1.99714 | − | 26.6500i | 0.117479 | − | 1.56765i | ||||
\(290\) | 0.529663 | − | 2.32060i | 0.0311029 | − | 0.136271i | ||||
\(291\) | 5.14936 | + | 7.02251i | 0.301861 | + | 0.411667i | ||||
\(292\) | 16.3120 | + | 20.4546i | 0.954586 | + | 1.19701i | ||||
\(293\) | −14.1430 | − | 24.4963i | −0.826240 | − | 1.43109i | −0.900968 | − | 0.433886i | \(-0.857142\pi\) |
0.0747271 | − | 0.997204i | \(-0.476191\pi\) | |||||||
\(294\) | 7.56707 | + | 28.2204i | 0.441320 | + | 1.64585i | ||||
\(295\) | 0.0435059 | − | 0.0753545i | 0.00253301 | − | 0.00438731i | ||||
\(296\) | −22.0383 | + | 3.32174i | −1.28095 | + | 0.193072i | ||||
\(297\) | −16.1145 | − | 10.3353i | −0.935059 | − | 0.599713i | ||||
\(298\) | −46.6549 | + | 14.3911i | −2.70264 | + | 0.833655i | ||||
\(299\) | −13.9023 | − | 9.47843i | −0.803991 | − | 0.548152i | ||||
\(300\) | −8.55248 | + | 31.5278i | −0.493778 | + | 1.82026i | ||||
\(301\) | 7.01445 | − | 2.46736i | 0.404306 | − | 0.142216i | ||||
\(302\) | −20.1058 | − | 13.7079i | −1.15696 | − | 0.788800i | ||||
\(303\) | −0.135115 | − | 3.93698i | −0.00776217 | − | 0.226174i | ||||
\(304\) | −11.3462 | − | 5.46403i | −0.650748 | − | 0.313384i | ||||
\(305\) | 0.205651 | − | 0.523990i | 0.0117755 | − | 0.0300036i | ||||
\(306\) | 21.0076 | − | 42.9409i | 1.20092 | − | 2.45477i | ||||
\(307\) | −19.5159 | − | 24.4721i | −1.11383 | − | 1.39670i | −0.908439 | − | 0.418018i | \(-0.862725\pi\) |
−0.205391 | − | 0.978680i | \(-0.565847\pi\) | |||||||
\(308\) | 12.1996 | − | 35.0483i | 0.695136 | − | 1.99706i | ||||
\(309\) | −0.897789 | − | 26.1597i | −0.0510734 | − | 1.48817i | ||||
\(310\) | 3.51689 | + | 1.69364i | 0.199746 | + | 0.0961925i | ||||
\(311\) | −18.7222 | − | 5.77503i | −1.06164 | − | 0.327472i | −0.285725 | − | 0.958312i | \(-0.592234\pi\) |
−0.775913 | + | 0.630839i | \(0.782711\pi\) | |||||||
\(312\) | −20.0421 | − | 7.08270i | −1.13466 | − | 0.400979i | ||||
\(313\) | −14.7607 | − | 25.5663i | −0.834324 | − | 1.44509i | −0.894580 | − | 0.446908i | \(-0.852525\pi\) |
0.0602561 | − | 0.998183i | \(-0.480808\pi\) | |||||||
\(314\) | −0.315645 | − | 1.38293i | −0.0178129 | − | 0.0780434i | ||||
\(315\) | −1.36578 | − | 1.01762i | −0.0769528 | − | 0.0573365i | ||||
\(316\) | 10.7615 | − | 47.1491i | 0.605380 | − | 2.65234i | ||||
\(317\) | 21.8068 | − | 6.72652i | 1.22479 | − | 0.377799i | 0.386128 | − | 0.922445i | \(-0.373812\pi\) |
0.838666 | + | 0.544646i | \(0.183336\pi\) | |||||||
\(318\) | 31.5857 | + | 16.8188i | 1.77124 | + | 0.943149i | ||||
\(319\) | 6.19586 | + | 15.7868i | 0.346902 | + | 0.883891i | ||||
\(320\) | 0.478633 | − | 2.09703i | 0.0267564 | − | 0.117227i | ||||
\(321\) | 6.95499 | + | 0.281788i | 0.388190 | + | 0.0157279i | ||||
\(322\) | 24.8779 | + | 28.8132i | 1.38639 | + | 1.60569i | ||||
\(323\) | −6.43384 | − | 28.1885i | −0.357988 | − | 1.56845i | ||||
\(324\) | 25.4040 | − | 22.9930i | 1.41133 | − | 1.27739i | ||||
\(325\) | 6.98044 | + | 12.0905i | 0.387205 | + | 0.670659i | ||||
\(326\) | −0.102735 | − | 0.450110i | −0.00568995 | − | 0.0249293i | ||||
\(327\) | −12.9077 | − | 12.9878i | −0.713797 | − | 0.718227i | ||||
\(328\) | −12.9058 | − | 1.94524i | −0.712605 | − | 0.107408i | ||||
\(329\) | −18.6923 | + | 25.4141i | −1.03054 | + | 1.40112i | ||||
\(330\) | 1.08022 | + | 3.11800i | 0.0594642 | + | 0.171640i | ||||
\(331\) | 21.3029 | − | 19.7662i | 1.17091 | − | 1.08645i | 0.176139 | − | 0.984365i | \(-0.443639\pi\) |
0.994776 | − | 0.102085i | \(-0.0325512\pi\) | |||||||
\(332\) | −10.4683 | + | 26.6727i | −0.574520 | + | 1.46385i | ||||
\(333\) | −6.57583 | − | 13.8738i | −0.360354 | − | 0.760280i | ||||
\(334\) | 10.0339 | + | 25.5659i | 0.549029 | + | 1.39890i | ||||
\(335\) | −0.0556714 | + | 0.742883i | −0.00304165 | + | 0.0405880i | ||||
\(336\) | 10.8940 | + | 7.45067i | 0.594316 | + | 0.406467i | ||||
\(337\) | 1.45107 | + | 19.3632i | 0.0790451 | + | 1.05478i | 0.885852 | + | 0.463968i | \(0.153575\pi\) |
−0.806807 | + | 0.590815i | \(0.798806\pi\) | |||||||
\(338\) | 10.9820 | − | 5.28866i | 0.597343 | − | 0.287665i | ||||
\(339\) | 11.6434 | − | 18.4037i | 0.632380 | − | 0.999549i | ||||
\(340\) | −4.86708 | + | 2.34386i | −0.263955 | + | 0.127114i | ||||
\(341\) | −27.5008 | + | 4.14508i | −1.48925 | + | 0.224469i | ||||
\(342\) | 4.90470 | − | 31.2282i | 0.265216 | − | 1.68863i | ||||
\(343\) | −13.1600 | − | 13.0313i | −0.710571 | − | 0.703626i | ||||
\(344\) | 6.11957 | − | 10.5994i | 0.329945 | − | 0.571482i | ||||
\(345\) | −2.17913 | − | 0.419300i | −0.117320 | − | 0.0225744i | ||||
\(346\) | −2.72157 | + | 36.3168i | −0.146312 | + | 1.95240i | ||||
\(347\) | 14.0121 | + | 13.0013i | 0.752207 | + | 0.697947i | 0.959930 | − | 0.280241i | \(-0.0904145\pi\) |
−0.207722 | + | 0.978188i | \(0.566605\pi\) | |||||||
\(348\) | −30.1732 | + | 3.30520i | −1.61745 | + | 0.177177i | ||||
\(349\) | 3.85890 | − | 2.63095i | 0.206562 | − | 0.140832i | −0.455621 | − | 0.890174i | \(-0.650583\pi\) |
0.662183 | + | 0.749342i | \(0.269630\pi\) | |||||||
\(350\) | −8.22476 | − | 30.4955i | −0.439632 | − | 1.63005i | ||||
\(351\) | 0.683329 | − | 14.6275i | 0.0364734 | − | 0.780757i | ||||
\(352\) | 2.38154 | + | 6.06806i | 0.126936 | + | 0.323429i | ||||
\(353\) | −10.8189 | − | 5.21013i | −0.575835 | − | 0.277307i | 0.123216 | − | 0.992380i | \(-0.460679\pi\) |
−0.699050 | + | 0.715073i | \(0.746394\pi\) | |||||||
\(354\) | −1.66200 | − | 0.319796i | −0.0883341 | − | 0.0169970i | ||||
\(355\) | 0.591313 | + | 2.59071i | 0.0313836 | + | 0.137501i | ||||
\(356\) | 1.60664 | − | 4.09365i | 0.0851516 | − | 0.216963i | ||||
\(357\) | 2.22045 | + | 30.2207i | 0.117519 | + | 1.59945i | ||||
\(358\) | −2.29150 | − | 5.83864i | −0.121109 | − | 0.308582i | ||||
\(359\) | −6.97634 | + | 4.75639i | −0.368197 | + | 0.251033i | −0.733257 | − | 0.679951i | \(-0.762001\pi\) |
0.365060 | + | 0.930984i | \(0.381049\pi\) | |||||||
\(360\) | −2.79685 | + | 0.192200i | −0.147407 | + | 0.0101298i | ||||
\(361\) | −0.0596428 | − | 0.103304i | −0.00313910 | − | 0.00543707i | ||||
\(362\) | −9.53171 | − | 16.5094i | −0.500976 | − | 0.867716i | ||||
\(363\) | −3.57880 | − | 2.65841i | −0.187838 | − | 0.139531i | ||||
\(364\) | 27.8828 | − | 5.32300i | 1.46146 | − | 0.279001i | ||||
\(365\) | 1.40909 | − | 0.434645i | 0.0737549 | − | 0.0227504i | ||||
\(366\) | −10.9401 | − | 0.443249i | −0.571849 | − | 0.0231690i | ||||
\(367\) | −19.5170 | + | 24.4736i | −1.01878 | + | 1.27751i | −0.0585542 | + | 0.998284i | \(0.518649\pi\) |
−0.960226 | + | 0.279225i | \(0.909922\pi\) | |||||||
\(368\) | 17.0038 | + | 2.56291i | 0.886385 | + | 0.133601i | ||||
\(369\) | −1.28501 | − | 8.89874i | −0.0668948 | − | 0.463250i | ||||
\(370\) | −0.588883 | + | 2.58007i | −0.0306146 | + | 0.134131i | ||||
\(371\) | −22.6658 | + | 0.885248i | −1.17675 | + | 0.0459598i | ||||
\(372\) | 5.72630 | − | 49.4469i | 0.296895 | − | 2.56370i | ||||
\(373\) | −12.2822 | −0.635951 | −0.317975 | − | 0.948099i | \(-0.603003\pi\) | ||||
−0.317975 | + | 0.948099i | \(0.603003\pi\) | |||||||
\(374\) | 29.3540 | − | 50.8426i | 1.51786 | − | 2.62901i | ||||
\(375\) | 2.96986 | + | 2.20608i | 0.153363 | + | 0.113922i | ||||
\(376\) | 3.88055 | + | 51.7824i | 0.200124 | + | 2.67047i | ||||
\(377\) | −8.08800 | + | 10.1420i | −0.416553 | + | 0.522341i | ||||
\(378\) | −10.0068 | + | 31.5819i | −0.514692 | + | 1.62440i | ||||
\(379\) | −9.90825 | − | 12.4245i | −0.508952 | − | 0.638206i | 0.459270 | − | 0.888297i | \(-0.348111\pi\) |
−0.968222 | + | 0.250091i | \(0.919540\pi\) | |||||||
\(380\) | −2.61858 | + | 2.42969i | −0.134330 | + | 0.124640i | ||||
\(381\) | 22.7588 | + | 4.37918i | 1.16597 | + | 0.224352i | ||||
\(382\) | −34.0823 | + | 23.2369i | −1.74380 | + | 1.18890i | ||||
\(383\) | −20.5116 | + | 25.7208i | −1.04809 | + | 1.31427i | −0.100450 | + | 0.994942i | \(0.532028\pi\) |
−0.947645 | + | 0.319327i | \(0.896543\pi\) | |||||||
\(384\) | −35.4972 | + | 3.88839i | −1.81146 | + | 0.198429i | ||||
\(385\) | −1.58767 | − | 1.36179i | −0.0809153 | − | 0.0694031i | ||||
\(386\) | 10.0666 | + | 4.84781i | 0.512375 | + | 0.246747i | ||||
\(387\) | 8.20819 | + | 1.92698i | 0.417246 | + | 0.0979538i | ||||
\(388\) | −18.2906 | + | 5.64190i | −0.928564 | + | 0.286424i | ||||
\(389\) | 17.0441 | − | 8.20802i | 0.864172 | − | 0.416163i | 0.0513533 | − | 0.998681i | \(-0.483647\pi\) |
0.812818 | + | 0.582517i | \(0.197932\pi\) | |||||||
\(390\) | −1.65232 | + | 1.90806i | −0.0836686 | + | 0.0966184i | ||||
\(391\) | 19.7403 | + | 34.1912i | 0.998310 | + | 1.72912i | ||||
\(392\) | −30.4061 | − | 2.17855i | −1.53574 | − | 0.110033i | ||||
\(393\) | −14.4299 | + | 12.3405i | −0.727894 | + | 0.622494i | ||||
\(394\) | 6.31012 | − | 16.0779i | 0.317899 | − | 0.809994i | ||||
\(395\) | −2.25218 | − | 1.53551i | −0.113319 | − | 0.0772598i | ||||
\(396\) | 33.0610 | − | 26.0322i | 1.66138 | − | 1.30817i | ||||
\(397\) | 0.110206 | − | 1.47060i | 0.00553108 | − | 0.0738071i | −0.993755 | − | 0.111582i | \(-0.964408\pi\) |
0.999286 | + | 0.0377753i | \(0.0120271\pi\) | |||||||
\(398\) | 20.9849 | − | 14.3073i | 1.05188 | − | 0.717158i | ||||
\(399\) | 7.29337 | + | 18.6631i | 0.365125 | + | 0.934324i | ||||
\(400\) | −11.7886 | − | 8.03732i | −0.589429 | − | 0.401866i | ||||
\(401\) | 13.2008 | − | 16.5532i | 0.659215 | − | 0.826629i | −0.334043 | − | 0.942558i | \(-0.608413\pi\) |
0.993258 | + | 0.115929i | \(0.0369844\pi\) | |||||||
\(402\) | 14.0083 | − | 3.70709i | 0.698668 | − | 0.184893i | ||||
\(403\) | −13.2636 | − | 16.6320i | −0.660707 | − | 0.828501i | ||||
\(404\) | 8.27411 | + | 2.55223i | 0.411653 | + | 0.126978i | ||||
\(405\) | −0.683264 | − | 1.80634i | −0.0339516 | − | 0.0897579i | ||||
\(406\) | 23.5849 | − | 17.4662i | 1.17050 | − | 0.866832i | ||||
\(407\) | −6.88861 | − | 17.5519i | −0.341456 | − | 0.870015i | ||||
\(408\) | 35.1590 | + | 35.3772i | 1.74063 | + | 1.75143i | ||||
\(409\) | 32.6055 | + | 10.0575i | 1.61224 | + | 0.497309i | 0.964395 | − | 0.264467i | \(-0.0851959\pi\) |
0.647841 | + | 0.761776i | \(0.275672\pi\) | |||||||
\(410\) | −0.774883 | + | 1.34214i | −0.0382687 | + | 0.0662834i | ||||
\(411\) | 6.14900 | − | 5.25861i | 0.303308 | − | 0.259388i | ||||
\(412\) | 54.9783 | + | 16.9586i | 2.70859 | + | 0.835488i | ||||
\(413\) | 1.01205 | − | 0.355991i | 0.0497995 | − | 0.0175172i | ||||
\(414\) | 6.16905 | + | 42.7210i | 0.303192 | + | 2.09962i | ||||
\(415\) | 1.18388 | + | 1.09848i | 0.0581143 | + | 0.0539221i | ||||
\(416\) | −3.10883 | + | 3.89835i | −0.152423 | + | 0.191132i | ||||
\(417\) | −12.0050 | + | 7.49156i | −0.587889 | + | 0.366863i | ||||
\(418\) | 8.63854 | − | 37.8479i | 0.422525 | − | 1.85120i | ||||
\(419\) | 7.97813 | − | 2.46093i | 0.389757 | − | 0.120224i | −0.0936818 | − | 0.995602i | \(-0.529864\pi\) |
0.483439 | + | 0.875378i | \(0.339387\pi\) | |||||||
\(420\) | 3.09629 | − | 2.10441i | 0.151083 | − | 0.102685i | ||||
\(421\) | 4.33190 | + | 1.33621i | 0.211124 | + | 0.0651231i | 0.398513 | − | 0.917163i | \(-0.369526\pi\) |
−0.187389 | + | 0.982286i | \(0.560003\pi\) | |||||||
\(422\) | −20.3745 | + | 35.2896i | −0.991814 | + | 1.71787i | ||||
\(423\) | −33.3795 | + | 12.8627i | −1.62297 | + | 0.625407i | ||||
\(424\) | −27.3692 | + | 25.3949i | −1.32917 | + | 1.23329i | ||||
\(425\) | −2.44800 | − | 32.6662i | −0.118745 | − | 1.58455i | ||||
\(426\) | 43.8506 | − | 27.3643i | 2.12457 | − | 1.32581i | ||||
\(427\) | 6.13080 | − | 3.25307i | 0.296690 | − | 0.157427i | ||||
\(428\) | −5.58972 | + | 14.2424i | −0.270190 | + | 0.688432i | ||||
\(429\) | 2.06879 | − | 17.8641i | 0.0998822 | − | 0.862487i | ||||
\(430\) | −0.906113 | − | 1.13623i | −0.0436967 | − | 0.0547939i | ||||
\(431\) | 0.571926 | + | 7.63182i | 0.0275487 | + | 0.367612i | 0.993892 | + | 0.110356i | \(0.0351992\pi\) |
−0.966343 | + | 0.257256i | \(0.917182\pi\) | |||||||
\(432\) | 5.85694 | + | 13.7716i | 0.281792 | + | 0.662586i | ||||
\(433\) | −14.0613 | + | 6.77154i | −0.675741 | + | 0.325420i | −0.740090 | − | 0.672508i | \(-0.765217\pi\) |
0.0643494 | + | 0.997927i | \(0.479503\pi\) | |||||||
\(434\) | 19.3184 | + | 44.0811i | 0.927311 | + | 2.11596i | ||||
\(435\) | −0.447907 | + | 1.65116i | −0.0214755 | + | 0.0791670i | ||||
\(436\) | 36.2627 | − | 17.4632i | 1.73667 | − | 0.836335i | ||||
\(437\) | 19.1377 | + | 17.7572i | 0.915482 | + | 0.849444i | ||||
\(438\) | −16.9609 | − | 23.1306i | −0.810421 | − | 1.10522i | ||||
\(439\) | −8.00681 | + | 20.4010i | −0.382144 | + | 0.973688i | 0.602344 | + | 0.798237i | \(0.294234\pi\) |
−0.984488 | + | 0.175451i | \(0.943862\pi\) | |||||||
\(440\) | −3.44289 | −0.164133 | ||||||||
\(441\) | −4.61326 | − | 20.4870i | −0.219679 | − | 0.975572i | ||||
\(442\) | 44.9062 | 2.13597 | ||||||||
\(443\) | −7.44479 | + | 18.9690i | −0.353713 | + | 0.901245i | 0.637678 | + | 0.770303i | \(0.279895\pi\) |
−0.991390 | + | 0.130941i | \(0.958200\pi\) | |||||||
\(444\) | 33.5468 | − | 3.67475i | 1.59206 | − | 0.174396i | ||||
\(445\) | −0.181698 | − | 0.168591i | −0.00861332 | − | 0.00799199i | ||||
\(446\) | 27.1823 | − | 13.0903i | 1.28712 | − | 0.619844i | ||||
\(447\) | 33.9245 | − | 8.97765i | 1.60458 | − | 0.424629i | ||||
\(448\) | 21.3127 | − | 15.7834i | 1.00693 | − | 0.745696i | ||||
\(449\) | −9.64832 | + | 4.64639i | −0.455332 | + | 0.219277i | −0.647469 | − | 0.762092i | \(-0.724173\pi\) |
0.192137 | + | 0.981368i | \(0.438458\pi\) | |||||||
\(450\) | 10.7680 | − | 34.1571i | 0.507607 | − | 1.61018i | ||||
\(451\) | −0.825157 | − | 11.0110i | −0.0388551 | − | 0.518486i | ||||
\(452\) | 29.8454 | + | 37.4250i | 1.40381 | + | 1.76032i | ||||
\(453\) | 14.0404 | + | 10.4295i | 0.659674 | + | 0.490021i | ||||
\(454\) | −2.01507 | + | 5.13433i | −0.0945721 | + | 0.240966i | ||||
\(455\) | 0.294875 | − | 1.57254i | 0.0138240 | − | 0.0737218i | ||||
\(456\) | 29.1117 | + | 15.5014i | 1.36328 | + | 0.725919i | ||||
\(457\) | −2.77197 | − | 36.9894i | −0.129667 | − | 1.73029i | −0.560755 | − | 0.827982i | \(-0.689489\pi\) |
0.431088 | − | 0.902310i | \(-0.358130\pi\) | |||||||
\(458\) | 4.04734 | − | 3.75538i | 0.189120 | − | 0.175478i | ||||
\(459\) | −16.3363 | + | 30.2273i | −0.762514 | + | 1.41089i | ||||
\(460\) | 2.43885 | − | 4.22422i | 0.113712 | − | 0.196955i | ||||
\(461\) | 31.3780 | + | 9.67882i | 1.46142 | + | 0.450788i | 0.920652 | − | 0.390385i | \(-0.127658\pi\) |
0.540766 | + | 0.841173i | \(0.318134\pi\) | |||||||
\(462\) | −14.9194 | + | 37.8517i | −0.694112 | + | 1.76102i | ||||
\(463\) | −30.8624 | + | 9.51979i | −1.43430 | + | 0.442422i | −0.911947 | − | 0.410309i | \(-0.865421\pi\) |
−0.522350 | + | 0.852731i | \(0.674945\pi\) | |||||||
\(464\) | 2.95003 | − | 12.9249i | 0.136951 | − | 0.600024i | ||||
\(465\) | −2.47642 | − | 1.31864i | −0.114841 | − | 0.0611506i | ||||
\(466\) | 28.0273 | − | 35.1451i | 1.29834 | − | 1.62806i | ||||
\(467\) | −0.767203 | − | 0.711860i | −0.0355019 | − | 0.0329410i | 0.662222 | − | 0.749307i | \(-0.269613\pi\) |
−0.697724 | + | 0.716366i | \(0.745804\pi\) | |||||||
\(468\) | 29.8888 | + | 11.9444i | 1.38161 | + | 0.552132i | ||||
\(469\) | −6.48429 | + | 6.50555i | −0.299417 | + | 0.300398i | ||||
\(470\) | 5.89202 | + | 1.81745i | 0.271779 | + | 0.0838326i | ||||
\(471\) | 0.186446 | + | 1.00236i | 0.00859096 | + | 0.0461861i | ||||
\(472\) | 0.882932 | − | 1.52928i | 0.0406402 | − | 0.0703910i | ||||
\(473\) | 9.89446 | + | 3.05204i | 0.454948 | + | 0.140333i | ||||
\(474\) | −13.8811 | + | 51.1711i | −0.637579 | + | 2.35037i | ||||
\(475\) | −7.91382 | − | 20.1641i | −0.363111 | − | 0.925192i | ||||
\(476\) | −64.3644 | − | 17.1335i | −2.95014 | − | 0.785314i | ||||
\(477\) | −22.1943 | − | 12.9977i | −1.01621 | − | 0.595122i | ||||
\(478\) | −57.6887 | − | 17.7946i | −2.63862 | − | 0.813907i | ||||
\(479\) | −2.65889 | − | 3.33414i | −0.121488 | − | 0.152341i | 0.717368 | − | 0.696694i | \(-0.245347\pi\) |
−0.838856 | + | 0.544353i | \(0.816775\pi\) | |||||||
\(480\) | −0.172164 | + | 0.634666i | −0.00785820 | + | 0.0289684i | ||||
\(481\) | 8.99231 | − | 11.2760i | 0.410014 | − | 0.514142i | ||||
\(482\) | 48.0184 | + | 32.7384i | 2.18718 | + | 1.49119i | ||||
\(483\) | −17.0280 | − | 21.4164i | −0.774802 | − | 0.974481i | ||||
\(484\) | 8.09650 | − | 5.52010i | 0.368023 | − | 0.250914i | ||||
\(485\) | −0.0806224 | + | 1.07583i | −0.00366088 | + | 0.0488510i | ||||
\(486\) | −28.8489 | + | 24.0599i | −1.30861 | + | 1.09138i | ||||
\(487\) | −29.2066 | − | 19.9127i | −1.32348 | − | 0.902331i | −0.324426 | − | 0.945911i | \(-0.605171\pi\) |
−0.999050 | + | 0.0435802i | \(0.986124\pi\) | |||||||
\(488\) | 4.17359 | − | 10.6341i | 0.188929 | − | 0.481384i | ||||
\(489\) | 0.0606834 | + | 0.326242i | 0.00274420 | + | 0.0147532i | ||||
\(490\) | −1.55985 | + | 3.26638i | −0.0704670 | + | 0.147560i | ||||
\(491\) | −14.3532 | − | 24.8605i | −0.647751 | − | 1.12194i | −0.983659 | − | 0.180043i | \(-0.942376\pi\) |
0.335908 | − | 0.941895i | \(-0.390957\pi\) | |||||||
\(492\) | 19.4068 | + | 3.73420i | 0.874928 | + | 0.168351i | ||||
\(493\) | 27.4236 | − | 13.2065i | 1.23510 | − | 0.594791i | ||||
\(494\) | 28.3754 | − | 8.75265i | 1.27667 | − | 0.393801i | ||||
\(495\) | −0.685050 | − | 2.27067i | −0.0307907 | − | 0.102059i | ||||
\(496\) | 19.5878 | + | 9.43297i | 0.879517 | + | 0.423553i | ||||
\(497\) | −15.2622 | + | 28.9923i | −0.684605 | + | 1.30048i | ||||
\(498\) | 12.6511 | − | 28.7535i | 0.566908 | − | 1.28848i | ||||
\(499\) | 16.7053 | − | 20.9477i | 0.747831 | − | 0.937750i | −0.251718 | − | 0.967801i | \(-0.580995\pi\) |
0.999548 | + | 0.0300508i | \(0.00956692\pi\) | |||||||
\(500\) | −6.71888 | + | 4.58085i | −0.300477 | + | 0.204862i | ||||
\(501\) | −6.46207 | − | 18.6524i | −0.288704 | − | 0.833330i | ||||
\(502\) | −16.1374 | + | 14.9733i | −0.720247 | + | 0.668292i | ||||
\(503\) | −8.93456 | − | 11.2036i | −0.398373 | − | 0.499543i | 0.541674 | − | 0.840588i | \(-0.317791\pi\) |
−0.940047 | + | 0.341045i | \(0.889219\pi\) | |||||||
\(504\) | −27.7178 | − | 20.6522i | −1.23465 | − | 0.919920i | ||||
\(505\) | 0.304287 | − | 0.381564i | 0.0135406 | − | 0.0169794i | ||||
\(506\) | 3.96141 | + | 52.8613i | 0.176106 | + | 2.34997i | ||||
\(507\) | −8.04076 | + | 3.47858i | −0.357103 | + | 0.154489i | ||||
\(508\) | −25.4715 | + | 44.1178i | −1.13011 | + | 1.95741i | ||||
\(509\) | −14.6005 | −0.647155 | −0.323578 | − | 0.946202i | \(-0.604886\pi\) | ||||
−0.323578 | + | 0.946202i | \(0.604886\pi\) | |||||||
\(510\) | 5.43560 | − | 2.35154i | 0.240692 | − | 0.104128i | ||||
\(511\) | 16.6762 | + | 7.24330i | 0.737713 | + | 0.320425i | ||||
\(512\) | 6.71579 | − | 29.4238i | 0.296799 | − | 1.30036i | ||||
\(513\) | −4.43102 | + | 22.2842i | −0.195634 | + | 0.983873i | ||||
\(514\) | −9.36278 | − | 1.41121i | −0.412975 | − | 0.0622459i | ||||
\(515\) | 2.02187 | − | 2.53534i | 0.0890942 | − | 0.111721i | ||||
\(516\) | −9.90843 | + | 15.6614i | −0.436194 | + | 0.689455i | ||||
\(517\) | −41.9797 | + | 12.9490i | −1.84626 | + | 0.569497i | ||||
\(518\) | −26.2219 | + | 19.4190i | −1.15213 | + | 0.853224i | ||||
\(519\) | 3.01124 | − | 26.0022i | 0.132179 | − | 1.14137i | ||||
\(520\) | −1.31675 | − | 2.28067i | −0.0577431 | − | 0.100014i | ||||
\(521\) | 11.6130 | + | 20.1142i | 0.508773 | + | 0.881221i | 0.999948 | + | 0.0101599i | \(0.00323406\pi\) |
−0.491175 | + | 0.871061i | \(0.663433\pi\) | |||||||
\(522\) | 33.1994 | − | 2.28146i | 1.45310 | − | 0.0998570i | ||||
\(523\) | 8.97677 | − | 6.12026i | 0.392527 | − | 0.267620i | −0.350933 | − | 0.936400i | \(-0.614136\pi\) |
0.743460 | + | 0.668780i | \(0.233183\pi\) | |||||||
\(524\) | −15.2474 | − | 38.8498i | −0.666087 | − | 1.69716i | ||||
\(525\) | 5.01939 | + | 22.1400i | 0.219064 | + | 0.966270i | ||||
\(526\) | −5.39064 | + | 13.7351i | −0.235043 | + | 0.598880i | ||||
\(527\) | 11.1072 | + | 48.6639i | 0.483838 | + | 2.11983i | ||||
\(528\) | 6.01643 | + | 17.3661i | 0.261832 | + | 0.755764i | ||||
\(529\) | −11.3958 | − | 5.48795i | −0.495471 | − | 0.238606i | ||||
\(530\) | 1.61968 | + | 4.12687i | 0.0703543 | + | 0.179260i | ||||
\(531\) | 1.18428 | + | 0.278025i | 0.0513933 | + | 0.0120652i | ||||
\(532\) | −44.0102 | + | 1.71889i | −1.90809 | + | 0.0745233i | ||||
\(533\) | 6.97839 | − | 4.75779i | 0.302268 | − | 0.206083i | ||||
\(534\) | −1.94165 | + | 4.41301i | −0.0840235 | + | 0.190970i | ||||
\(535\) | 0.632154 | + | 0.586553i | 0.0273304 | + | 0.0253589i | ||||
\(536\) | −1.12982 | + | 15.0765i | −0.0488010 | + | 0.651204i | ||||
\(537\) | 1.47578 | + | 4.25977i | 0.0636846 | + | 0.183823i | ||||
\(538\) | 33.7829 | − | 58.5137i | 1.45649 | − | 2.52271i | ||||
\(539\) | −3.92726 | − | 25.4892i | −0.169159 | − | 1.09790i | ||||
\(540\) | 4.24332 | − | 0.119347i | 0.182603 | − | 0.00513586i | ||||
\(541\) | 36.5571 | − | 5.51010i | 1.57171 | − | 0.236898i | 0.695394 | − | 0.718628i | \(-0.255230\pi\) |
0.876319 | + | 0.481731i | \(0.159992\pi\) | |||||||
\(542\) | 39.8995 | − | 19.2146i | 1.71383 | − | 0.825338i | ||||
\(543\) | 6.36495 | + | 12.1338i | 0.273146 | + | 0.520711i | ||||
\(544\) | 10.5410 | − | 5.07626i | 0.451940 | − | 0.217643i | ||||
\(545\) | −0.169528 | − | 2.26220i | −0.00726179 | − | 0.0969019i | ||||
\(546\) | −30.7800 | + | 4.59349i | −1.31726 | + | 0.196583i | ||||
\(547\) | 0.550908 | − | 7.35136i | 0.0235551 | − | 0.314321i | −0.972964 | − | 0.230957i | \(-0.925814\pi\) |
0.996519 | − | 0.0833645i | \(-0.0265666\pi\) | |||||||
\(548\) | 6.49735 | + | 16.5550i | 0.277553 | + | 0.707193i | ||||
\(549\) | 7.84389 | + | 0.636649i | 0.334769 | + | 0.0271715i | ||||
\(550\) | 16.0688 | − | 40.9427i | 0.685177 | − | 1.74580i | ||||
\(551\) | 14.7544 | − | 13.6901i | 0.628558 | − | 0.583217i | ||||
\(552\) | −44.2243 | − | 8.50950i | −1.88231 | − | 0.362188i | ||||
\(553\) | −8.75166 | − | 32.4491i | −0.372159 | − | 1.37988i | ||||
\(554\) | −29.8887 | − | 4.50500i | −1.26985 | − | 0.191399i | ||||
\(555\) | 0.497987 | − | 1.83577i | 0.0211384 | − | 0.0779243i | ||||
\(556\) | −6.92134 | − | 30.3244i | −0.293530 | − | 1.28604i | ||||
\(557\) | −11.3871 | − | 19.7231i | −0.482488 | − | 0.835693i | 0.517310 | − | 0.855798i | \(-0.326933\pi\) |
−0.999798 | + | 0.0201048i | \(0.993600\pi\) | |||||||
\(558\) | −8.46736 | + | 53.9116i | −0.358452 | + | 2.28226i | ||||
\(559\) | 1.76241 | + | 7.72164i | 0.0745421 | + | 0.326590i | ||||
\(560\) | 0.425784 | + | 1.57871i | 0.0179927 | + | 0.0667126i | ||||
\(561\) | −22.5603 | + | 35.6592i | −0.952498 | + | 1.50553i | ||||
\(562\) | −0.894077 | + | 3.91721i | −0.0377144 | + | 0.165237i | ||||
\(563\) | 3.48561 | + | 8.88119i | 0.146901 | + | 0.374298i | 0.985317 | − | 0.170733i | \(-0.0546134\pi\) |
−0.838416 | + | 0.545030i | \(0.816518\pi\) | |||||||
\(564\) | −2.69693 | − | 78.5828i | −0.113561 | − | 3.30893i | ||||
\(565\) | 2.57815 | − | 0.795255i | 0.108464 | − | 0.0334566i | ||||
\(566\) | 14.6730 | − | 64.2864i | 0.616750 | − | 2.70216i | ||||
\(567\) | 8.10542 | − | 22.3898i | 0.340396 | − | 0.940282i | ||||
\(568\) | 12.0004 | + | 52.5773i | 0.503526 | + | 2.20609i | ||||
\(569\) | 11.0227 | + | 19.0919i | 0.462097 | + | 0.800375i | 0.999065 | − | 0.0432275i | \(-0.0137640\pi\) |
−0.536969 | + | 0.843602i | \(0.680431\pi\) | |||||||
\(570\) | 2.97632 | − | 2.54534i | 0.124664 | − | 0.106613i | ||||
\(571\) | 28.1780 | + | 8.69175i | 1.17921 | + | 0.363739i | 0.821563 | − | 0.570118i | \(-0.193102\pi\) |
0.357648 | + | 0.933856i | \(0.383579\pi\) | |||||||
\(572\) | 35.6142 | + | 17.1509i | 1.48910 | + | 0.717114i | ||||
\(573\) | 25.1527 | − | 15.6962i | 1.05077 | − | 0.655718i | ||||
\(574\) | −18.0255 | + | 6.34054i | −0.752371 | + | 0.264649i | ||||
\(575\) | 18.4417 | + | 23.1252i | 0.769073 | + | 0.964387i | ||||
\(576\) | 30.0008 | − | 2.06166i | 1.25004 | − | 0.0859024i | ||||
\(577\) | 12.2649 | − | 31.2505i | 0.510595 | − | 1.30097i | −0.410580 | − | 0.911825i | \(-0.634674\pi\) |
0.921174 | − | 0.389150i | \(-0.127231\pi\) | |||||||
\(578\) | −58.0235 | − | 27.9426i | −2.41346 | − | 1.16226i | ||||
\(579\) | −7.08838 | − | 3.77442i | −0.294583 | − | 0.156860i | ||||
\(580\) | −3.10708 | − | 2.11837i | −0.129014 | − | 0.0879605i | ||||
\(581\) | 2.26187 | + | 19.7836i | 0.0938384 | + | 0.820761i | ||||
\(582\) | 20.2865 | − | 5.36855i | 0.840904 | − | 0.222534i | ||||
\(583\) | −26.0982 | − | 17.7934i | −1.08088 | − | 0.736929i | ||||
\(584\) | 28.5967 | − | 8.82092i | 1.18334 | − | 0.365012i | ||||
\(585\) | 1.24216 | − | 1.32222i | 0.0513568 | − | 0.0546671i | ||||
\(586\) | −67.4021 | + | 10.1592i | −2.78436 | + | 0.419674i | ||||
\(587\) | 5.09751 | − | 8.82914i | 0.210397 | − | 0.364418i | −0.741442 | − | 0.671017i | \(-0.765858\pi\) |
0.951839 | + | 0.306599i | \(0.0991911\pi\) | |||||||
\(588\) | 45.8699 | + | 5.15994i | 1.89164 | + | 0.212792i | ||||
\(589\) | 16.5035 | + | 28.5850i | 0.680017 | + | 1.17782i | ||||
\(590\) | −0.130734 | − | 0.163935i | −0.00538224 | − | 0.00674912i | ||||
\(591\) | −4.99952 | + | 11.3630i | −0.205653 | + | 0.467410i | ||||
\(592\) | −3.27986 | + | 14.3700i | −0.134802 | + | 0.590604i | ||||
\(593\) | −1.40874 | + | 18.7983i | −0.0578499 | + | 0.771953i | 0.890552 | + | 0.454882i | \(0.150318\pi\) |
−0.948402 | + | 0.317071i | \(0.897301\pi\) | |||||||
\(594\) | −37.3715 | + | 27.0493i | −1.53337 | + | 1.10984i | ||||
\(595\) | −2.22433 | + | 3.02420i | −0.0911885 | + | 0.123980i | ||||
\(596\) | −5.76431 | + | 76.9193i | −0.236115 | + | 3.15074i | ||||
\(597\) | −15.4869 | + | 9.66434i | −0.633835 | + | 0.395535i | ||||
\(598\) | −33.5018 | + | 22.8411i | −1.36999 | + | 0.934044i | ||||
\(599\) | 34.0390 | − | 5.13055i | 1.39080 | − | 0.209629i | 0.589437 | − | 0.807814i | \(-0.299349\pi\) |
0.801358 | + | 0.598185i | \(0.204111\pi\) | |||||||
\(600\) | 29.9966 | + | 22.2822i | 1.22460 | + | 0.909665i | ||||
\(601\) | −16.0429 | + | 2.41808i | −0.654404 | + | 0.0986355i | −0.467848 | − | 0.883809i | \(-0.654971\pi\) |
−0.186556 | + | 0.982444i | \(0.559733\pi\) | |||||||
\(602\) | 0.640691 | − | 17.9072i | 0.0261126 | − | 0.729844i | ||||
\(603\) | −10.1681 | + | 2.25469i | −0.414076 | + | 0.0918183i | ||||
\(604\) | −31.7643 | + | 21.6565i | −1.29247 | + | 0.881191i | ||||
\(605\) | −0.122902 | − | 0.538469i | −0.00499668 | − | 0.0218919i | ||||
\(606\) | −8.95047 | − | 3.16302i | −0.363588 | − | 0.128489i | ||||
\(607\) | 27.9195 | 1.13322 | 0.566608 | − | 0.823987i | \(-0.308255\pi\) | ||||
0.566608 | + | 0.823987i | \(0.308255\pi\) | |||||||
\(608\) | 5.67123 | − | 5.26213i | 0.229999 | − | 0.213408i | ||||
\(609\) | −17.4460 | + | 11.8573i | −0.706949 | + | 0.480483i | ||||
\(610\) | −0.994370 | − | 0.922640i | −0.0402609 | − | 0.0373566i | ||||
\(611\) | −24.6331 | − | 22.8562i | −0.996548 | − | 0.924661i | ||||
\(612\) | −51.0257 | − | 55.6797i | −2.06259 | − | 2.25072i | ||||
\(613\) | 38.4302 | + | 5.79243i | 1.55218 | + | 0.233954i | 0.868449 | − | 0.495778i | \(-0.165117\pi\) |
0.683733 | + | 0.729732i | \(0.260355\pi\) | |||||||
\(614\) | −72.0782 | + | 22.2332i | −2.90884 | + | 0.897258i | ||||
\(615\) | 0.595545 | − | 0.941326i | 0.0240147 | − | 0.0379579i | ||||
\(616\) | −32.2211 | − | 27.6368i | −1.29822 | − | 1.11352i | ||||
\(617\) | 0.496104 | − | 0.460317i | 0.0199724 | − | 0.0185317i | −0.670123 | − | 0.742250i | \(-0.733759\pi\) |
0.690096 | + | 0.723718i | \(0.257568\pi\) | |||||||
\(618\) | −59.4724 | − | 21.0171i | −2.39233 | − | 0.845430i | ||||
\(619\) | −10.7933 | −0.433821 | −0.216911 | − | 0.976191i | \(-0.569598\pi\) | ||||
−0.216911 | + | 0.976191i | \(0.569598\pi\) | |||||||
\(620\) | 4.52066 | − | 4.19456i | 0.181554 | − | 0.168458i | ||||
\(621\) | −3.18733 | − | 30.8601i | −0.127903 | − | 1.23837i | ||||
\(622\) | −29.4377 | + | 36.9137i | −1.18034 | + | 1.48010i | ||||
\(623\) | −0.347146 | − | 3.03633i | −0.0139081 | − | 0.121648i | ||||
\(624\) | −9.20282 | + | 10.6272i | −0.368408 | + | 0.425428i | ||||
\(625\) | −5.40980 | − | 23.7019i | −0.216392 | − | 0.948076i | ||||
\(626\) | −70.3461 | + | 10.6030i | −2.81160 | + | 0.423780i | ||||
\(627\) | −7.30514 | + | 26.9296i | −0.291739 | + | 1.07547i | ||||
\(628\) | −2.21600 | − | 0.334008i | −0.0884279 | − | 0.0133284i | ||||
\(629\) | −30.4898 | + | 14.6831i | −1.21571 | + | 0.585454i | ||||
\(630\) | −3.48518 | + | 2.16782i | −0.138853 | + | 0.0863682i | ||||
\(631\) | 31.6249 | + | 15.2298i | 1.25897 | + | 0.606287i | 0.939902 | − | 0.341445i | \(-0.110916\pi\) |
0.319066 | + | 0.947732i | \(0.396631\pi\) | |||||||
\(632\) | −45.7069 | − | 31.1624i | −1.81812 | − | 1.23957i | ||||
\(633\) | 15.6590 | − | 24.7509i | 0.622390 | − | 0.983758i | ||||
\(634\) | 4.10966 | − | 54.8396i | 0.163215 | − | 2.17796i | ||||
\(635\) | 1.79023 | + | 2.24488i | 0.0710432 | + | 0.0890853i | ||||
\(636\) | 42.9654 | − | 36.7439i | 1.70369 | − | 1.45699i | ||||
\(637\) | 15.3828 | − | 12.3500i | 0.609488 | − | 0.489323i | ||||
\(638\) | 40.8681 | 1.61798 | ||||||||
\(639\) | −32.2881 | + | 18.3761i | −1.27730 | + | 0.726948i | ||||
\(640\) | −3.65532 | − | 2.49215i | −0.144489 | − | 0.0985110i | ||||
\(641\) | −9.26558 | + | 40.5951i | −0.365968 | + | 1.60341i | 0.371770 | + | 0.928325i | \(0.378751\pi\) |
−0.737738 | + | 0.675087i | \(0.764106\pi\) | |||||||
\(642\) | 6.75529 | − | 15.3535i | 0.266610 | − | 0.605955i | ||||
\(643\) | 0.114130 | + | 1.52296i | 0.00450085 | + | 0.0600596i | 0.999002 | − | 0.0446664i | \(-0.0142225\pi\) |
−0.994501 | + | 0.104726i | \(0.966603\pi\) | |||||||
\(644\) | 56.7333 | − | 19.9561i | 2.23560 | − | 0.786381i | ||||
\(645\) | 0.617676 | + | 0.842364i | 0.0243210 | + | 0.0331680i | ||||
\(646\) | −68.8974 | − | 10.3846i | −2.71073 | − | 0.408577i | ||||
\(647\) | −1.03773 | − | 13.8476i | −0.0407975 | − | 0.544405i | −0.979732 | − | 0.200310i | \(-0.935805\pi\) |
0.938935 | − | 0.344095i | \(-0.111814\pi\) | |||||||
\(648\) | −13.8665 | − | 36.6589i | −0.544728 | − | 1.44010i | ||||
\(649\) | 1.42757 | + | 0.440348i | 0.0560372 | + | 0.0172852i | ||||
\(650\) | 33.2672 | − | 5.01423i | 1.30485 | − | 0.196674i | ||||
\(651\) | −12.5911 | − | 32.2196i | −0.493484 | − | 1.26278i | ||||
\(652\) | −0.721251 | − | 0.108711i | −0.0282464 | − | 0.00425746i | ||||
\(653\) | 10.3969 | + | 5.00686i | 0.406861 | + | 0.195934i | 0.626109 | − | 0.779735i | \(-0.284646\pi\) |
−0.219249 | + | 0.975669i | \(0.570361\pi\) | |||||||
\(654\) | −40.4984 | + | 17.5203i | −1.58361 | + | 0.685100i | ||||
\(655\) | −2.35231 | −0.0919123 | ||||||||
\(656\) | −4.31581 | + | 7.47521i | −0.168504 | + | 0.291858i | ||||
\(657\) | 11.5076 | + | 17.1050i | 0.448956 | + | 0.667331i | ||||
\(658\) | 40.5528 | + | 64.3055i | 1.58091 | + | 2.50689i | ||||
\(659\) | 25.1885 | + | 23.3715i | 0.981204 | + | 0.910424i | 0.995990 | − | 0.0894662i | \(-0.0285161\pi\) |
−0.0147856 | + | 0.999891i | \(0.504707\pi\) | |||||||
\(660\) | 5.20898 | + | 0.211046i | 0.202759 | + | 0.00821497i | ||||
\(661\) | −10.5764 | − | 26.9483i | −0.411375 | − | 1.04817i | −0.975014 | − | 0.222144i | \(-0.928694\pi\) |
0.563639 | − | 0.826021i | \(-0.309401\pi\) | |||||||
\(662\) | −25.5849 | − | 65.1894i | −0.994387 | − | 2.53366i | ||||
\(663\) | −32.2499 | − | 1.30664i | −1.25248 | − | 0.0507455i | ||||
\(664\) | 24.0262 | + | 22.2931i | 0.932399 | + | 0.865140i | ||||
\(665\) | −0.816065 | + | 2.34448i | −0.0316457 | + | 0.0909152i | ||||
\(666\) | −36.9114 | + | 2.53655i | −1.43029 | + | 0.0982894i | ||||
\(667\) | −13.7417 | + | 23.8014i | −0.532082 | + | 0.921592i | ||||
\(668\) | 43.3899 | 1.67881 | ||||||||
\(669\) | −19.9022 | + | 8.61005i | −0.769464 | + | 0.332884i | ||||
\(670\) | 1.61744 | + | 0.778917i | 0.0624871 | + | 0.0300922i | ||||
\(671\) | 9.55675 | + | 1.44045i | 0.368934 | + | 0.0556079i | ||||
\(672\) | −6.70583 | + | 4.55766i | −0.258683 | + | 0.175816i | ||||
\(673\) | −3.76929 | + | 0.568130i | −0.145296 | + | 0.0218998i | −0.221287 | − | 0.975209i | \(-0.571026\pi\) |
0.0759917 | + | 0.997108i | \(0.475788\pi\) | |||||||
\(674\) | 44.7136 | + | 13.7923i | 1.72230 | + | 0.531260i | ||||
\(675\) | −8.72702 | + | 24.2170i | −0.335903 | + | 0.932113i | ||||
\(676\) | −1.43908 | − | 19.2032i | −0.0553494 | − | 0.738586i | ||||
\(677\) | 37.6662 | + | 5.67727i | 1.44763 | + | 0.218195i | 0.825360 | − | 0.564607i | \(-0.190972\pi\) |
0.622271 | + | 0.782802i | \(0.286210\pi\) | |||||||
\(678\) | −31.0327 | − | 42.3212i | −1.19180 | − | 1.62534i | ||||
\(679\) | −9.39045 | + | 9.42124i | −0.360372 | + | 0.361554i | ||||
\(680\) | 0.461774 | + | 6.16195i | 0.0177082 | + | 0.236300i | ||||
\(681\) | 1.59655 | − | 3.62865i | 0.0611797 | − | 0.139050i | ||||
\(682\) | −14.9134 | + | 65.3398i | −0.571063 | + | 2.50199i | ||||
\(683\) | 22.1266 | + | 15.0857i | 0.846650 | + | 0.577237i | 0.907091 | − | 0.420935i | \(-0.138298\pi\) |
−0.0604402 | + | 0.998172i | \(0.519250\pi\) | |||||||
\(684\) | −43.0948 | − | 25.2376i | −1.64777 | − | 0.964984i | ||||
\(685\) | 1.00238 | 0.0382991 | ||||||||
\(686\) | −40.8182 | + | 18.0479i | −1.55845 | + | 0.689072i | ||||
\(687\) | −3.01592 | + | 2.57921i | −0.115065 | + | 0.0984031i | ||||
\(688\) | −5.04672 | − | 6.32839i | −0.192404 | − | 0.241267i | ||||
\(689\) | 1.80555 | − | 24.0934i | 0.0687859 | − | 0.917884i | ||||
\(690\) | −2.85909 | + | 4.51911i | −0.108844 | + | 0.172040i | ||||
\(691\) | 24.5444 | + | 16.7341i | 0.933715 | + | 0.636596i | 0.931632 | − | 0.363402i | \(-0.118385\pi\) |
0.00208219 | + | 0.999998i | \(0.499337\pi\) | |||||||
\(692\) | 51.8384 | + | 24.9641i | 1.97060 | + | 0.948992i | ||||
\(693\) | 11.8159 | − | 26.7496i | 0.448850 | − | 1.01613i | ||||
\(694\) | 41.5010 | − | 19.9858i | 1.57536 | − | 0.758652i | ||||
\(695\) | −1.73355 | − | 0.261291i | −0.0657575 | − | 0.00991134i | ||||
\(696\) | −9.09006 | + | 33.5095i | −0.344558 | + | 1.27017i | ||||
\(697\) | −19.5963 | + | 2.95367i | −0.742263 | + | 0.111878i | ||||
\(698\) | −2.50444 | − | 10.9727i | −0.0947944 | − | 0.415321i | ||||
\(699\) | −21.1508 | + | 24.4244i | −0.799995 | + | 0.923815i | ||||
\(700\) | −49.5953 | − | 5.50586i | −1.87453 | − | 0.208102i | ||||
\(701\) | −14.1151 | + | 17.6998i | −0.533120 | + | 0.668511i | −0.973337 | − | 0.229380i | \(-0.926330\pi\) |
0.440217 | + | 0.897891i | \(0.354901\pi\) | |||||||
\(702\) | −32.2111 | − | 14.4109i | −1.21573 | − | 0.543904i | ||||
\(703\) | −16.4041 | + | 15.2208i | −0.618691 | + | 0.574061i | ||||
\(704\) | 36.9307 | 1.39188 | ||||||||
\(705\) | −4.17855 | − | 1.47666i | −0.157373 | − | 0.0556144i | ||||
\(706\) | −21.2125 | + | 19.6823i | −0.798342 | + | 0.740753i | ||||
\(707\) | 5.91063 | − | 1.12838i | 0.222292 | − | 0.0424369i | ||||
\(708\) | −1.42959 | + | 2.25963i | −0.0537273 | + | 0.0849221i | ||||
\(709\) | 11.1683 | − | 3.44496i | 0.419434 | − | 0.129378i | −0.0778519 | − | 0.996965i | \(-0.524806\pi\) |
0.497286 | + | 0.867587i | \(0.334330\pi\) | |||||||
\(710\) | 6.33213 | + | 0.954415i | 0.237641 | + | 0.0358186i | ||||
\(711\) | 11.4578 | − | 36.3453i | 0.429701 | − | 1.36305i | ||||
\(712\) | −3.68748 | − | 3.42148i | −0.138194 | − | 0.128225i | ||||
\(713\) | −33.0390 | − | 30.6557i | −1.23732 | − | 1.14806i | ||||
\(714\) | 69.7465 | + | 21.6253i | 2.61020 | + | 0.809306i | ||||
\(715\) | 1.63322 | − | 1.51540i | 0.0610789 | − | 0.0566729i | ||||
\(716\) | −9.90921 | −0.370325 | ||||||||
\(717\) | 40.9121 | + | 14.4580i | 1.52789 | + | 0.539944i | ||||
\(718\) | 4.52767 | + | 19.8370i | 0.168971 | + | 0.740311i | ||||
\(719\) | 2.84444 | − | 1.93930i | 0.106080 | − | 0.0723238i | −0.509118 | − | 0.860697i | \(-0.670028\pi\) |
0.615198 | + | 0.788373i | \(0.289076\pi\) | |||||||
\(720\) | −0.557443 | + | 1.76826i | −0.0207747 | + | 0.0658993i | ||||
\(721\) | 39.2739 | − | 7.49762i | 1.46264 | − | 0.279226i | ||||
\(722\) | −0.284244 | + | 0.0428429i | −0.0105785 | + | 0.00159445i | ||||
\(723\) | −33.5325 | − | 24.9087i | −1.24709 | − | 0.926365i | ||||
\(724\) | −29.7811 | + | 4.48878i | −1.10681 | + | 0.166824i | ||||
\(725\) | 18.8412 | − | 12.8457i | 0.699744 | − | 0.477078i | ||||
\(726\) | −9.11418 | + | 5.68757i | −0.338259 | + | 0.211085i | ||||
\(727\) | 1.33660 | − | 17.8357i | 0.0495718 | − | 0.661490i | −0.915971 | − | 0.401245i | \(-0.868578\pi\) |
0.965543 | − | 0.260245i | \(-0.0838033\pi\) | |||||||
\(728\) | 5.98436 | − | 31.9140i | 0.221795 | − | 1.18281i | ||||
\(729\) | 21.4183 | − | 16.4395i | 0.793270 | − | 0.608870i | ||||
\(730\) | 0.265552 | − | 3.54355i | 0.00982854 | − | 0.131153i | ||||
\(731\) | 4.13533 | − | 18.1181i | 0.152951 | − | 0.670121i | ||||
\(732\) | −6.96636 | + | 15.8332i | −0.257484 | + | 0.585213i | ||||
\(733\) | 6.91517 | + | 8.67135i | 0.255418 | + | 0.320284i | 0.892964 | − | 0.450129i | \(-0.148622\pi\) |
−0.637546 | + | 0.770412i | \(0.720050\pi\) | |||||||
\(734\) | 37.7169 | + | 65.3275i | 1.39215 | + | 2.41128i | ||||
\(735\) | 1.21527 | − | 2.30041i | 0.0448260 | − | 0.0848518i | ||||
\(736\) | −5.28198 | + | 9.14866i | −0.194696 | + | 0.337224i | ||||
\(737\) | −12.6478 | + | 1.90635i | −0.465888 | + | 0.0702212i | ||||
\(738\) | −21.0932 | − | 4.95189i | −0.776450 | − | 0.182282i | ||||
\(739\) | −51.1544 | + | 15.7790i | −1.88174 | + | 0.580441i | −0.889369 | + | 0.457191i | \(0.848856\pi\) |
−0.992376 | + | 0.123250i | \(0.960668\pi\) | |||||||
\(740\) | 3.45448 | + | 2.35522i | 0.126989 | + | 0.0865797i | ||||
\(741\) | −20.6328 | + | 5.46019i | −0.757966 | + | 0.200585i | ||||
\(742\) | −17.9691 | + | 51.6237i | −0.659668 | + | 1.89517i | ||||
\(743\) | 42.1321 | + | 28.7251i | 1.54568 | + | 1.05382i | 0.972070 | + | 0.234692i | \(0.0754080\pi\) |
0.573605 | + | 0.819132i | \(0.305544\pi\) | |||||||
\(744\) | −50.2578 | − | 26.7612i | −1.84254 | − | 0.981115i | ||||
\(745\) | 3.91704 | + | 1.88635i | 0.143509 | + | 0.0691103i | ||||
\(746\) | −10.8133 | + | 27.5518i | −0.395903 | + | 1.00874i | ||||
\(747\) | −9.92218 | + | 20.2816i | −0.363034 | + | 0.742066i | ||||
\(748\) | −57.8289 | − | 72.5151i | −2.11443 | − | 2.65142i | ||||
\(749\) | 1.20777 | + | 10.5638i | 0.0441310 | + | 0.385994i | ||||
\(750\) | 7.56340 | − | 4.71982i | 0.276176 | − | 0.172344i | ||||
\(751\) | 3.88711 | + | 1.87193i | 0.141843 | + | 0.0683079i | 0.503459 | − | 0.864019i | \(-0.332061\pi\) |
−0.361616 | + | 0.932327i | \(0.617775\pi\) | |||||||
\(752\) | 32.8164 | + | 10.1225i | 1.19669 | + | 0.369130i | ||||
\(753\) | 12.0250 | − | 10.2837i | 0.438214 | − | 0.374760i | ||||
\(754\) | 15.6302 | + | 27.0722i | 0.569217 | + | 0.985913i | ||||
\(755\) | 0.482171 | + | 2.11253i | 0.0175480 | + | 0.0768827i | ||||
\(756\) | 40.6701 | + | 32.9451i | 1.47916 | + | 1.19820i | ||||
\(757\) | 8.89468 | − | 38.9701i | 0.323283 | − | 1.41639i | −0.508390 | − | 0.861127i | \(-0.669759\pi\) |
0.831673 | − | 0.555266i | \(-0.187384\pi\) | |||||||
\(758\) | −36.5942 | + | 11.2878i | −1.32916 | + | 0.409992i | ||||
\(759\) | −1.30683 | − | 38.0783i | −0.0474349 | − | 1.38215i | ||||
\(760\) | 1.49281 | + | 3.80362i | 0.0541500 | + | 0.137972i | ||||
\(761\) | −4.15645 | + | 18.2106i | −0.150671 | + | 0.660134i | 0.842019 | + | 0.539447i | \(0.181367\pi\) |
−0.992691 | + | 0.120686i | \(0.961490\pi\) | |||||||
\(762\) | 29.8604 | − | 47.1977i | 1.08173 | − | 1.70979i | ||||
\(763\) | 16.5726 | − | 22.5321i | 0.599967 | − | 0.815718i | ||||
\(764\) | 14.5015 | + | 63.5351i | 0.524645 | + | 2.29862i | ||||
\(765\) | −3.97207 | + | 1.53063i | −0.143610 | + | 0.0553399i | ||||
\(766\) | 39.6389 | + | 68.6566i | 1.43221 | + | 2.48067i | ||||
\(767\) | 0.254281 | + | 1.11408i | 0.00918156 | + | 0.0402271i | ||||
\(768\) | −13.4383 | + | 49.5388i | −0.484913 | + | 1.78758i | ||||
\(769\) | 17.7883 | + | 2.68116i | 0.641464 | + | 0.0966851i | 0.461716 | − | 0.887028i | \(-0.347234\pi\) |
0.179748 | + | 0.983713i | \(0.442472\pi\) | |||||||
\(770\) | −4.45258 | + | 2.36259i | −0.160460 | + | 0.0851417i | ||||
\(771\) | 6.68294 | + | 1.28591i | 0.240680 | + | 0.0463109i | ||||
\(772\) | 12.9397 | − | 12.0063i | 0.465711 | − | 0.432116i | ||||
\(773\) | −0.828037 | + | 2.10980i | −0.0297824 | + | 0.0758844i | −0.944991 | − | 0.327095i | \(-0.893930\pi\) |
0.915209 | + | 0.402980i | \(0.132025\pi\) | |||||||
\(774\) | 11.5491 | − | 16.7163i | 0.415125 | − | 0.600854i | ||||
\(775\) | 13.6622 | + | 34.8108i | 0.490762 | + | 1.25044i | ||||
\(776\) | −1.63619 | + | 21.8335i | −0.0587360 | + | 0.783777i | ||||
\(777\) | 19.3967 | − | 13.1831i | 0.695851 | − | 0.472940i | ||||
\(778\) | −3.40676 | − | 45.4601i | −0.122138 | − | 1.62982i | ||||
\(779\) | −11.8069 | + | 5.68588i | −0.423025 | + | 0.203718i | ||||
\(780\) | 1.85239 | + | 3.53129i | 0.0663262 | + | 0.126441i | ||||
\(781\) | −41.1067 | + | 19.7959i | −1.47091 | + | 0.708354i | ||||
\(782\) | 94.0778 | − | 14.1799i | 3.36421 | − | 0.507074i | ||||
\(783\) | −23.9090 | + | 0.672459i | −0.854437 | + | 0.0240317i | ||||
\(784\) | −8.68782 | + | 18.1926i | −0.310279 | + | 0.649734i | ||||
\(785\) | −0.0631558 | + | 0.109389i | −0.00225413 | + | 0.00390426i | ||||
\(786\) | 14.9783 | + | 43.2341i | 0.534258 | + | 1.54211i | ||||
\(787\) | 2.42886 | − | 32.4109i | 0.0865795 | − | 1.15532i | −0.769559 | − | 0.638576i | \(-0.779524\pi\) |
0.856138 | − | 0.516747i | \(-0.172857\pi\) | |||||||
\(788\) | −20.0029 | − | 18.5599i | −0.712573 | − | 0.661171i | ||||
\(789\) | 4.27101 | − | 9.70721i | 0.152052 | − | 0.345586i | ||||
\(790\) | −5.42730 | + | 3.70027i | −0.193095 | + | 0.131650i | ||||
\(791\) | 30.5119 | + | 13.2528i | 1.08488 | + | 0.471215i | ||||
\(792\) | −13.9028 | − | 46.0821i | −0.494013 | − | 1.63746i | ||||
\(793\) | 2.70082 | + | 6.88157i | 0.0959089 | + | 0.244372i | ||||
\(794\) | −3.20185 | − | 1.54193i | −0.113629 | − | 0.0547210i | ||||
\(795\) | −1.04311 | − | 3.01089i | −0.0369954 | − | 0.106785i | ||||
\(796\) | −8.92874 | − | 39.1194i | −0.316471 | − | 1.38655i | ||||
\(797\) | 2.25443 | − | 5.74419i | 0.0798559 | − | 0.203470i | −0.885370 | − | 0.464887i | \(-0.846095\pi\) |
0.965226 | + | 0.261418i | \(0.0841900\pi\) | |||||||
\(798\) | 48.2866 | + | 0.0703539i | 1.70933 | + | 0.00249050i | ||||
\(799\) | 28.8061 | + | 73.3968i | 1.01909 | + | 2.59659i | ||||
\(800\) | 7.24210 | − | 4.93758i | 0.256047 | − | 0.174570i | ||||
\(801\) | 1.52283 | − | 3.11277i | 0.0538065 | − | 0.109984i | ||||
\(802\) | −25.5106 | − | 44.1857i | −0.900812 | − | 1.56025i | ||||
\(803\) | 12.6590 | + | 21.9261i | 0.446727 | + | 0.773754i | ||||
\(804\) | 2.63356 | − | 22.7409i | 0.0928785 | − | 0.802010i | ||||
\(805\) | 0.121201 | − | 3.38756i | 0.00427179 | − | 0.119396i | ||||
\(806\) | −48.9866 | + | 15.1104i | −1.72548 | + | 0.532240i | ||||
\(807\) | −25.9642 | + | 41.0394i | −0.913984 | + | 1.44466i | ||||
\(808\) | 6.17536 | − | 7.74366i | 0.217248 | − | 0.272421i | ||||
\(809\) | −11.4727 | − | 1.72923i | −0.403358 | − | 0.0607964i | −0.0557697 | − | 0.998444i | \(-0.517761\pi\) |
−0.347588 | + | 0.937647i | \(0.612999\pi\) | |||||||
\(810\) | −4.65357 | − | 0.0575928i | −0.163510 | − | 0.00202360i | ||||
\(811\) | −4.71273 | + | 20.6478i | −0.165486 | + | 0.725043i | 0.822278 | + | 0.569086i | \(0.192703\pi\) |
−0.987764 | + | 0.155956i | \(0.950154\pi\) | |||||||
\(812\) | −12.0737 | − | 44.7664i | −0.423704 | − | 1.57099i | ||||
\(813\) | −29.2135 | + | 12.6383i | −1.02456 | + | 0.443243i | ||||
\(814\) | −45.4375 | −1.59258 | ||||||||
\(815\) | −0.0205556 | + | 0.0356034i | −0.000720032 | + | 0.00124713i | ||||
\(816\) | 30.2743 | − | 13.0972i | 1.05981 | − | 0.458493i | ||||
\(817\) | −0.918348 | − | 12.2545i | −0.0321289 | − | 0.428731i | ||||
\(818\) | 51.2669 | − | 64.2867i | 1.79251 | − | 2.24773i | ||||
\(819\) | 22.2387 | − | 2.40327i | 0.777084 | − | 0.0839769i | ||||
\(820\) | 1.52656 | + | 1.91425i | 0.0533098 | + | 0.0668483i | ||||
\(821\) | 2.77715 | − | 2.57682i | 0.0969233 | − | 0.0899317i | −0.630223 | − | 0.776414i | \(-0.717037\pi\) |
0.727146 | + | 0.686482i | \(0.240846\pi\) | |||||||
\(822\) | −6.38266 | − | 18.4232i | −0.222621 | − | 0.642584i | ||||
\(823\) | −10.7355 | + | 7.31936i | −0.374217 | + | 0.255137i | −0.735794 | − | 0.677205i | \(-0.763191\pi\) |
0.361577 | + | 0.932342i | \(0.382238\pi\) | |||||||
\(824\) | 41.0329 | − | 51.4536i | 1.42945 | − | 1.79247i | ||||
\(825\) | −12.7313 | + | 28.9360i | −0.443249 | + | 1.00742i | ||||
\(826\) | 0.0924390 | − | 2.58366i | 0.00321636 | − | 0.0898970i | ||||
\(827\) | −22.2935 | − | 10.7360i | −0.775219 | − | 0.373326i | 0.00406871 | − | 0.999992i | \(-0.498705\pi\) |
−0.779288 | + | 0.626666i | \(0.784419\pi\) | |||||||
\(828\) | 66.3883 | + | 15.5855i | 2.30715 | + | 0.541634i | ||||
\(829\) | 17.6961 | − | 5.45852i | 0.614611 | − | 0.189582i | 0.0282081 | − | 0.999602i | \(-0.491020\pi\) |
0.586402 | + | 0.810020i | \(0.300544\pi\) | |||||||
\(830\) | 3.50641 | − | 1.68860i | 0.121709 | − | 0.0586122i | ||||
\(831\) | 21.3339 | + | 4.10499i | 0.740064 | + | 0.142401i | ||||
\(832\) | 14.1243 | + | 24.4640i | 0.489671 | + | 0.848136i | ||||
\(833\) | −45.0928 | + | 10.4476i | −1.56237 | + | 0.361986i | ||||
\(834\) | 6.23600 | + | 33.5255i | 0.215935 | + | 1.16089i | ||||
\(835\) | 0.893477 | − | 2.27654i | 0.0309200 | − | 0.0787830i | ||||
\(836\) | −50.6750 | − | 34.5496i | −1.75263 | − | 1.19492i | ||||
\(837\) | 7.64961 | − | 38.4710i | 0.264409 | − | 1.32975i | ||||
\(838\) | 1.50354 | − | 20.0633i | 0.0519389 | − | 0.693076i | ||||
\(839\) | −21.6723 | + | 14.7759i | −0.748212 | + | 0.510122i | −0.876374 | − | 0.481631i | \(-0.840045\pi\) |
0.128162 | + | 0.991753i | \(0.459092\pi\) | |||||||
\(840\) | −0.946825 | − | 4.17635i | −0.0326686 | − | 0.144098i | ||||
\(841\) | −6.45410 | − | 4.40033i | −0.222555 | − | 0.151735i | ||||
\(842\) | 6.81123 | − | 8.54101i | 0.234730 | − | 0.294343i | ||||
\(843\) | 0.756072 | − | 2.78718i | 0.0260405 | − | 0.0959956i | ||||
\(844\) | 40.1388 | + | 50.3324i | 1.38163 | + | 1.73251i | ||||
\(845\) | −1.03717 | − | 0.319925i | −0.0356798 | − | 0.0110058i | ||||
\(846\) | −0.533399 | + | 86.2020i | −0.0183386 | + | 2.96369i | ||||
\(847\) | 3.17220 | − | 6.02595i | 0.108998 | − | 0.207054i | ||||
\(848\) | 9.02100 | + | 22.9851i | 0.309783 | + | 0.789313i | ||||
\(849\) | −12.4081 | + | 45.7412i | −0.425846 | + | 1.56983i | ||||
\(850\) | −75.4329 | − | 23.2680i | −2.58733 | − | 0.798084i | ||||
\(851\) | 15.2782 | − | 26.4626i | 0.523729 | − | 0.907125i | ||||
\(852\) | −14.9333 | − | 80.2832i | −0.511606 | − | 2.75046i | ||||
\(853\) | −12.7122 | − | 3.92119i | −0.435257 | − | 0.134259i | 0.0693807 | − | 0.997590i | \(-0.477898\pi\) |
−0.504638 | + | 0.863331i | \(0.668374\pi\) | |||||||
\(854\) | −1.89981 | − | 16.6168i | −0.0650101 | − | 0.568614i | ||||
\(855\) | −2.21154 | + | 1.74137i | −0.0756332 | + | 0.0595536i | ||||
\(856\) | 12.8293 | + | 11.9038i | 0.438495 | + | 0.406864i | ||||
\(857\) | −2.97363 | + | 3.72881i | −0.101577 | + | 0.127374i | −0.830022 | − | 0.557731i | \(-0.811672\pi\) |
0.728445 | + | 0.685105i | \(0.240244\pi\) | |||||||
\(858\) | −38.2518 | − | 20.3683i | −1.30589 | − | 0.695363i | ||||
\(859\) | 3.37615 | − | 14.7919i | 0.115193 | − | 0.504693i | −0.884107 | − | 0.467284i | \(-0.845233\pi\) |
0.999300 | − | 0.0374086i | \(-0.0119103\pi\) | |||||||
\(860\) | −2.19399 | + | 0.676757i | −0.0748145 | + | 0.0230772i | ||||
\(861\) | 13.1298 | − | 4.02905i | 0.447461 | − | 0.137310i | ||||
\(862\) | 17.6234 | + | 5.43609i | 0.600255 | + | 0.185154i | ||||
\(863\) | 17.2843 | − | 29.9373i | 0.588364 | − | 1.01908i | −0.406083 | − | 0.913836i | \(-0.633105\pi\) |
0.994447 | − | 0.105240i | \(-0.0335612\pi\) | |||||||
\(864\) | −9.19003 | + | 0.258477i | −0.312651 | + | 0.00879356i | ||||
\(865\) | 2.37724 | − | 2.20576i | 0.0808286 | − | 0.0749980i | ||||
\(866\) | 2.81055 | + | 37.5042i | 0.0955063 | + | 1.27444i | ||||
\(867\) | 40.8573 | + | 21.7557i | 1.38759 | + | 0.738862i | ||||
\(868\) | 75.9782 | − | 2.96745i | 2.57887 | − | 0.100722i | ||||
\(869\) | 17.0983 | − | 43.5657i | 0.580019 | − | 1.47786i | ||||
\(870\) | 3.30958 | + | 2.45843i | 0.112205 | + | 0.0833487i | ||||
\(871\) | −6.10001 | − | 7.64918i | −0.206691 | − | 0.259182i | ||||
\(872\) | −3.44050 | − | 45.9102i | −0.116510 | − | 1.55472i | ||||
\(873\) | −14.7253 | + | 3.26522i | −0.498374 | + | 0.110511i | ||||
\(874\) | 56.6823 | − | 27.2967i | 1.91731 | − | 0.923326i | ||||
\(875\) | −2.63245 | + | 5.00063i | −0.0889929 | + | 0.169052i | ||||
\(876\) | −43.8066 | + | 11.5928i | −1.48009 | + | 0.391684i | ||||
\(877\) | 11.6767 | − | 5.62319i | 0.394293 | − | 0.189882i | −0.226223 | − | 0.974076i | \(-0.572638\pi\) |
0.620516 | + | 0.784194i | \(0.286923\pi\) | |||||||
\(878\) | 38.7148 | + | 35.9221i | 1.30656 | + | 1.21231i | ||||
\(879\) | 48.7013 | − | 5.33479i | 1.64266 | − | 0.179938i | ||||
\(880\) | −0.831861 | + | 2.11955i | −0.0280420 | + | 0.0714499i | ||||
\(881\) | 12.7109 | 0.428241 | 0.214121 | − | 0.976807i | \(-0.431311\pi\) | ||||
0.214121 | + | 0.976807i | \(0.431311\pi\) | |||||||
\(882\) | −50.0184 | − | 7.68820i | −1.68421 | − | 0.258875i | ||||
\(883\) | −37.7420 | −1.27012 | −0.635060 | − | 0.772462i | \(-0.719025\pi\) | ||||
−0.635060 | + | 0.772462i | \(0.719025\pi\) | |||||||
\(884\) | 25.9193 | − | 66.0412i | 0.871759 | − | 2.22121i | ||||
\(885\) | 0.0891184 | + | 0.121536i | 0.00299568 | + | 0.00408540i | ||||
\(886\) | 35.9973 | + | 33.4006i | 1.20935 | + | 1.12212i | ||||
\(887\) | 23.3406 | − | 11.2403i | 0.783702 | − | 0.377411i | 0.00115223 | − | 0.999999i | \(-0.499633\pi\) |
0.782549 | + | 0.622589i | \(0.213919\pi\) | |||||||
\(888\) | 10.1064 | − | 37.2562i | 0.339149 | − | 1.25024i | ||||
\(889\) | −1.26583 | + | 35.3798i | −0.0424546 | + | 1.18660i | ||||
\(890\) | −0.538155 | + | 0.259162i | −0.0180390 | + | 0.00868712i | ||||
\(891\) | 27.6259 | − | 18.3384i | 0.925502 | − | 0.614359i | ||||
\(892\) | −3.56197 | − | 47.5312i | −0.119264 | − | 1.59146i | ||||
\(893\) | 32.5078 | + | 40.7635i | 1.08783 | + | 1.36410i | ||||
\(894\) | 9.72829 | − | 84.0042i | 0.325363 | − | 2.80952i | ||||
\(895\) | −0.204049 | + | 0.519907i | −0.00682059 | + | 0.0173786i | ||||
\(896\) | −14.2041 | − | 52.6654i | −0.474525 | − | 1.75943i | ||||
\(897\) | 24.7244 | − | 15.4289i | 0.825523 | − | 0.515155i | ||||
\(898\) | 1.92850 | + | 25.7340i | 0.0643548 | + | 0.858755i | ||||
\(899\) | −25.4716 | + | 23.6342i | −0.849527 | + | 0.788246i | ||||
\(900\) | −44.0179 | − | 35.5509i | −1.46726 | − | 1.18503i | ||||
\(901\) | −28.3456 | + | 49.0960i | −0.944329 | + | 1.63563i | ||||
\(902\) | −25.4265 | − | 7.84303i | −0.846609 | − | 0.261144i | ||||
\(903\) | −0.981168 | + | 12.8417i | −0.0326512 | + | 0.427344i | ||||
\(904\) | 52.3224 | − | 16.1393i | 1.74022 | − | 0.536786i | ||||
\(905\) | −0.377734 | + | 1.65496i | −0.0125563 | + | 0.0550128i | ||||
\(906\) | 35.7568 | − | 22.3135i | 1.18794 | − | 0.741317i | ||||
\(907\) | 7.04242 | − | 8.83091i | 0.233840 | − | 0.293226i | −0.651042 | − | 0.759042i | \(-0.725668\pi\) |
0.884882 | + | 0.465816i | \(0.154239\pi\) | |||||||
\(908\) | 6.38772 | + | 5.92693i | 0.211984 | + | 0.196692i | ||||
\(909\) | 6.33586 | + | 2.53200i | 0.210147 | + | 0.0839810i | ||||
\(910\) | −3.26795 | − | 2.04594i | −0.108331 | − | 0.0678221i | ||||
\(911\) | −9.09696 | − | 2.80604i | −0.301396 | − | 0.0929682i | 0.140369 | − | 0.990099i | \(-0.455171\pi\) |
−0.441765 | + | 0.897131i | \(0.645647\pi\) | |||||||
\(912\) | 16.5770 | − | 14.1766i | 0.548920 | − | 0.469435i | ||||
\(913\) | −13.8643 | + | 24.0137i | −0.458842 | + | 0.794737i | ||||
\(914\) | −85.4159 | − | 26.3473i | −2.82531 | − | 0.871492i | ||||
\(915\) | 0.687274 | + | 0.691539i | 0.0227206 | + | 0.0228616i | ||||
\(916\) | −3.18678 | − | 8.11978i | −0.105294 | − | 0.268285i | ||||
\(917\) | −22.0146 | − | 18.8825i | −0.726986 | − | 0.623554i | ||||
\(918\) | 53.4241 | + | 63.2581i | 1.76326 | + | 2.08783i | ||||
\(919\) | 12.8815 | + | 3.97340i | 0.424920 | + | 0.131070i | 0.499837 | − | 0.866119i | \(-0.333393\pi\) |
−0.0749173 | + | 0.997190i | \(0.523869\pi\) | |||||||
\(920\) | −3.47873 | − | 4.36219i | −0.114690 | − | 0.143817i | ||||
\(921\) | 52.4108 | − | 13.8698i | 1.72699 | − | 0.457025i | ||||
\(922\) | 49.3369 | − | 61.8665i | 1.62482 | − | 2.03746i | ||||
\(923\) | −28.8348 | − | 19.6592i | −0.949109 | − | 0.647092i | ||||
\(924\) | 47.0553 | + | 43.7887i | 1.54801 | + | 1.44054i | ||||
\(925\) | −20.9478 | + | 14.2820i | −0.688760 | + | 0.469588i | ||||
\(926\) | −5.81625 | + | 77.6124i | −0.191134 | + | 2.55050i | ||||
\(927\) | 42.0994 | + | 16.8241i | 1.38272 | + | 0.552577i | ||||
\(928\) | 6.72920 | + | 4.58789i | 0.220897 | + | 0.150605i | ||||
\(929\) | −8.27259 | + | 21.0782i | −0.271415 | + | 0.691554i | 0.728564 | + | 0.684978i | \(0.240188\pi\) |
−0.999978 | + | 0.00657548i | \(0.997907\pi\) | |||||||
\(930\) | −5.13825 | + | 4.39422i | −0.168490 | + | 0.144092i | ||||
\(931\) | −26.4570 | + | 15.3907i | −0.867093 | + | 0.504408i | ||||
\(932\) | −35.5091 | − | 61.5036i | −1.16314 | − | 2.01462i | ||||
\(933\) | 22.2151 | − | 25.6535i | 0.727291 | − | 0.839858i | ||||
\(934\) | −2.27231 | + | 1.09428i | −0.0743521 | + | 0.0358061i | ||||
\(935\) | −4.99546 | + | 1.54090i | −0.163369 | + | 0.0503927i | ||||
\(936\) | 25.2090 | − | 26.8339i | 0.823980 | − | 0.877092i | ||||
\(937\) | −28.4493 | − | 13.7005i | −0.929399 | − | 0.447575i | −0.0929813 | − | 0.995668i | \(-0.529640\pi\) |
−0.836417 | + | 0.548093i | \(0.815354\pi\) | |||||||
\(938\) | 8.88463 | + | 20.2732i | 0.290093 | + | 0.661943i | ||||
\(939\) | 50.8285 | − | 5.56780i | 1.65873 | − | 0.181698i | ||||
\(940\) | 6.07362 | − | 7.61608i | 0.198100 | − | 0.248409i | ||||
\(941\) | −14.4747 | + | 9.86865i | −0.471860 | + | 0.321709i | −0.775796 | − | 0.630984i | \(-0.782651\pi\) |
0.303936 | + | 0.952692i | \(0.401699\pi\) | |||||||
\(942\) | 2.41265 | + | 0.464235i | 0.0786085 | + | 0.0151256i | ||||
\(943\) | 13.1173 | − | 12.1711i | 0.427157 | − | 0.396344i | ||||
\(944\) | −0.728141 | − | 0.913060i | −0.0236990 | − | 0.0297176i | ||||
\(945\) | 2.56600 | − | 1.45544i | 0.0834721 | − | 0.0473456i | ||||
\(946\) | 15.5575 | − | 19.5085i | 0.505817 | − | 0.634274i | ||||
\(947\) | −1.43283 | − | 19.1197i | −0.0465606 | − | 0.621308i | −0.970861 | − | 0.239643i | \(-0.922970\pi\) |
0.924301 | − | 0.381665i | \(-0.124649\pi\) | |||||||
\(948\) | 67.2427 | + | 49.9495i | 2.18394 | + | 1.62228i | ||||
\(949\) | −9.68297 | + | 16.7714i | −0.314322 | + | 0.544422i | ||||
\(950\) | −52.1998 | −1.69359 | ||||||||
\(951\) | −4.54707 | + | 39.2642i | −0.147449 | + | 1.27323i | ||||
\(952\) | −45.1417 | + | 61.3748i | −1.46305 | + | 1.98917i | ||||
\(953\) | −10.6626 | + | 46.7158i | −0.345395 | + | 1.51327i | 0.442107 | + | 0.896962i | \(0.354231\pi\) |
−0.787502 | + | 0.616312i | \(0.788626\pi\) | |||||||
\(954\) | −48.6965 | + | 38.3436i | −1.57661 | + | 1.24142i | ||||
\(955\) | 3.63211 | + | 0.547453i | 0.117532 | + | 0.0177152i | ||||
\(956\) | −59.4668 | + | 74.5691i | −1.92330 | + | 2.41174i | ||||
\(957\) | −29.3500 | − | 1.18914i | −0.948750 | − | 0.0384395i | ||||
\(958\) | −9.82011 | + | 3.02910i | −0.317273 | + | 0.0978658i | ||||
\(959\) | 9.38103 | + | 8.04634i | 0.302929 | + | 0.259830i | ||||
\(960\) | 2.99072 | + | 2.22158i | 0.0965251 | + | 0.0717011i | ||||
\(961\) | −12.9913 | − | 22.5016i | −0.419075 | − | 0.725859i | ||||
\(962\) | −17.3777 | − | 30.0991i | −0.560281 | − | 0.970435i | ||||
\(963\) | −5.29814 | + | 10.8298i | −0.170730 | + | 0.348984i | ||||
\(964\) | 75.8623 | − | 51.7221i | 2.44336 | − | 1.66586i | ||||
\(965\) | −0.363484 | − | 0.926141i | −0.0117010 | − | 0.0298135i | ||||
\(966\) | −63.0333 | + | 19.3427i | −2.02806 | + | 0.622340i | ||||
\(967\) | 18.1961 | − | 46.3629i | 0.585147 | − | 1.49093i | −0.264928 | − | 0.964268i | \(-0.585348\pi\) |
0.850075 | − | 0.526662i | \(-0.176557\pi\) | |||||||
\(968\) | −2.49424 | − | 10.9280i | −0.0801679 | − | 0.351239i | ||||
\(969\) | 49.1774 | + | 9.46255i | 1.57981 | + | 0.303981i | ||||
\(970\) | 2.34235 | + | 1.12802i | 0.0752083 | + | 0.0362184i | ||||
\(971\) | 2.08652 | + | 5.31637i | 0.0669596 | + | 0.170610i | 0.960437 | − | 0.278499i | \(-0.0898367\pi\) |
−0.893477 | + | 0.449109i | \(0.851742\pi\) | |||||||
\(972\) | 18.7324 | + | 56.3137i | 0.600842 | + | 1.80626i | ||||
\(973\) | −14.1264 | − | 16.3610i | −0.452872 | − | 0.524508i | ||||
\(974\) | −70.3821 | + | 47.9857i | −2.25519 | + | 1.53756i | ||||
\(975\) | −24.0372 | + | 2.63305i | −0.769806 | + | 0.0843252i | ||||
\(976\) | −5.53827 | − | 5.13877i | −0.177276 | − | 0.164488i | ||||
\(977\) | −2.11153 | + | 28.1764i | −0.0675538 | + | 0.901443i | 0.855754 | + | 0.517383i | \(0.173094\pi\) |
−0.923308 | + | 0.384060i | \(0.874525\pi\) | |||||||
\(978\) | 0.785258 | + | 0.151097i | 0.0251098 | + | 0.00483154i | ||||
\(979\) | 2.12786 | − | 3.68556i | 0.0680066 | − | 0.117791i | ||||
\(980\) | 3.90337 | + | 4.17931i | 0.124689 | + | 0.133503i | ||||
\(981\) | 29.5943 | − | 11.4041i | 0.944872 | − | 0.364104i | ||||
\(982\) | −68.4041 | + | 10.3103i | −2.18286 | + | 0.329014i | ||||
\(983\) | 8.54183 | − | 4.11353i | 0.272442 | − | 0.131201i | −0.292675 | − | 0.956212i | \(-0.594545\pi\) |
0.565117 | + | 0.825011i | \(0.308831\pi\) | |||||||
\(984\) | 12.0863 | − | 19.1038i | 0.385297 | − | 0.609006i | ||||
\(985\) | −1.38568 | + | 0.667309i | −0.0441515 | + | 0.0212622i | ||||
\(986\) | −5.48140 | − | 73.1442i | −0.174563 | − | 2.32938i | ||||
\(987\) | −27.2524 | − | 47.3618i | −0.867453 | − | 1.50754i | ||||
\(988\) | 3.50584 | − | 46.7822i | 0.111536 | − | 1.48834i | ||||
\(989\) | 6.13048 | + | 15.6202i | 0.194938 | + | 0.496694i | ||||
\(990\) | −5.69672 | − | 0.462375i | −0.181054 | − | 0.0146952i | ||||
\(991\) | 1.14404 | − | 2.91496i | 0.0363416 | − | 0.0925968i | −0.911551 | − | 0.411187i | \(-0.865114\pi\) |
0.947892 | + | 0.318590i | \(0.103209\pi\) | |||||||
\(992\) | −9.79068 | + | 9.08442i | −0.310854 | + | 0.288431i | ||||
\(993\) | 16.4773 | + | 47.5610i | 0.522893 | + | 1.50930i | ||||
\(994\) | 51.5994 | + | 59.7614i | 1.63663 | + | 1.89552i | ||||
\(995\) | −2.23634 | − | 0.337074i | −0.0708967 | − | 0.0106860i | ||||
\(996\) | −34.9843 | − | 35.2015i | −1.10852 | − | 1.11540i | ||||
\(997\) | 1.97950 | + | 8.67277i | 0.0626915 | + | 0.274669i | 0.996552 | − | 0.0829673i | \(-0.0264397\pi\) |
−0.933861 | + | 0.357637i | \(0.883583\pi\) | |||||||
\(998\) | −32.2831 | − | 55.9160i | −1.02190 | − | 1.76999i | ||||
\(999\) | 26.5822 | − | 0.747646i | 0.841024 | − | 0.0236545i |
(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 | 441.2.z.a.142.50 | yes | 648 | |
9.4 | even | 3 | 441.2.y.a.436.50 | yes | 648 | ||
49.39 | even | 21 | 441.2.y.a.88.50 | ✓ | 648 | ||
441.382 | even | 21 | inner | 441.2.z.a.382.50 | yes | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.y.a.88.50 | ✓ | 648 | 49.39 | even | 21 | ||
441.2.y.a.436.50 | yes | 648 | 9.4 | even | 3 | ||
441.2.z.a.142.50 | yes | 648 | 1.1 | even | 1 | trivial | |
441.2.z.a.382.50 | yes | 648 | 441.382 | even | 21 | inner |