Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [576,2,Mod(13,576)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(576, base_ring=CyclotomicField(48))
chi = DirichletCharacter(H, H._module([0, 45, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("576.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 576 = 2^{6} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 576.bm (of order \(48\), degree \(16\), 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: | \(4.59938315643\) |
Analytic rank: | \(0\) |
Dimension: | \(1504\) |
Relative dimension: | \(94\) over \(\Q(\zeta_{48})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{48}]$ |
Embedding invariants
Embedding label | 205.57 | ||
Character | \(\chi\) | \(=\) | 576.205 |
Dual form | 576.2.bm.a.517.57 |
$q$-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 \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).
\(n\) | \(65\) | \(127\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(1\) | \(e\left(\frac{15}{16}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.359606 | − | 1.36773i | 0.254280 | − | 0.967131i | ||||
\(3\) | 0.298442 | − | 1.70615i | 0.172305 | − | 0.985044i | ||||
\(4\) | −1.74137 | − | 0.983687i | −0.870684 | − | 0.491843i | ||||
\(5\) | 0.924132 | + | 1.05377i | 0.413285 | + | 0.471261i | 0.920604 | − | 0.390497i | \(-0.127697\pi\) |
−0.507320 | + | 0.861758i | \(0.669364\pi\) | |||||||
\(6\) | −2.22622 | − | 1.02173i | −0.908852 | − | 0.417118i | ||||
\(7\) | 4.48276 | + | 0.590167i | 1.69432 | + | 0.223062i | 0.914970 | − | 0.403522i | \(-0.132214\pi\) |
0.779354 | + | 0.626584i | \(0.215547\pi\) | |||||||
\(8\) | −1.97162 | + | 2.02798i | −0.697074 | + | 0.716999i | ||||
\(9\) | −2.82187 | − | 1.01837i | −0.940622 | − | 0.339457i | ||||
\(10\) | 1.77360 | − | 0.885021i | 0.560861 | − | 0.279868i | ||||
\(11\) | −1.71336 | − | 3.47435i | −0.516597 | − | 1.04755i | −0.986335 | − | 0.164749i | \(-0.947319\pi\) |
0.469739 | − | 0.882806i | \(-0.344348\pi\) | |||||||
\(12\) | −2.19801 | + | 2.67745i | −0.634511 | + | 0.772914i | ||||
\(13\) | −0.777400 | − | 2.29015i | −0.215612 | − | 0.635173i | −0.999891 | − | 0.0147643i | \(-0.995300\pi\) |
0.784279 | − | 0.620408i | \(-0.213033\pi\) | |||||||
\(14\) | 2.41921 | − | 5.91897i | 0.646562 | − | 1.58191i | ||||
\(15\) | 2.07369 | − | 1.26221i | 0.535423 | − | 0.325903i | ||||
\(16\) | 2.06472 | + | 3.42592i | 0.516180 | + | 0.856480i | ||||
\(17\) | −4.38076 | − | 4.38076i | −1.06249 | − | 1.06249i | −0.997913 | − | 0.0645764i | \(-0.979430\pi\) |
−0.0645764 | − | 0.997913i | \(-0.520570\pi\) | |||||||
\(18\) | −2.40761 | + | 3.49334i | −0.567480 | + | 0.823387i | ||||
\(19\) | 0.960595 | − | 4.82924i | 0.220376 | − | 1.10790i | −0.699181 | − | 0.714945i | \(-0.746452\pi\) |
0.919556 | − | 0.392958i | \(-0.128548\pi\) | |||||||
\(20\) | −0.572673 | − | 2.74406i | −0.128054 | − | 0.613590i | ||||
\(21\) | 2.34475 | − | 7.47211i | 0.511667 | − | 1.63055i | ||||
\(22\) | −5.36810 | + | 1.09402i | −1.14448 | + | 0.233245i | ||||
\(23\) | 1.02233 | + | 7.76534i | 0.213170 | + | 1.61918i | 0.678881 | + | 0.734248i | \(0.262465\pi\) |
−0.465712 | + | 0.884936i | \(0.654202\pi\) | |||||||
\(24\) | 2.87161 | + | 3.96911i | 0.586166 | + | 0.810191i | ||||
\(25\) | 0.396218 | − | 3.00958i | 0.0792437 | − | 0.601915i | ||||
\(26\) | −3.41186 | + | 0.239723i | −0.669121 | + | 0.0470136i | ||||
\(27\) | −2.57965 | + | 4.51059i | −0.496454 | + | 0.868063i | ||||
\(28\) | −7.22559 | − | 5.43733i | −1.36551 | − | 1.02756i | ||||
\(29\) | 7.06050 | − | 0.462769i | 1.31110 | − | 0.0859341i | 0.606241 | − | 0.795281i | \(-0.292677\pi\) |
0.704860 | + | 0.709347i | \(0.251010\pi\) | |||||||
\(30\) | −0.980659 | − | 3.29014i | −0.179043 | − | 0.600695i | ||||
\(31\) | −0.129689 | + | 0.0748762i | −0.0232929 | + | 0.0134482i | −0.511601 | − | 0.859223i | \(-0.670947\pi\) |
0.488308 | + | 0.872671i | \(0.337614\pi\) | |||||||
\(32\) | 5.42822 | − | 1.59200i | 0.959582 | − | 0.281428i | ||||
\(33\) | −6.43908 | + | 1.88635i | −1.12090 | + | 0.328371i | ||||
\(34\) | −7.56703 | + | 4.41634i | −1.29774 | + | 0.757397i | ||||
\(35\) | 3.52076 | + | 5.26919i | 0.595118 | + | 0.890656i | ||||
\(36\) | 3.91215 | + | 4.54919i | 0.652024 | + | 0.758198i | ||||
\(37\) | 0.836186 | + | 4.20379i | 0.137468 | + | 0.691099i | 0.986631 | + | 0.162968i | \(0.0521068\pi\) |
−0.849163 | + | 0.528130i | \(0.822893\pi\) | |||||||
\(38\) | −6.25966 | − | 3.05046i | −1.01545 | − | 0.494849i | ||||
\(39\) | −4.13933 | + | 0.642883i | −0.662824 | + | 0.102944i | ||||
\(40\) | −3.95907 | − | 0.203517i | −0.625983 | − | 0.0321789i | ||||
\(41\) | 0.688328 | + | 5.22837i | 0.107499 | + | 0.816535i | 0.957232 | + | 0.289322i | \(0.0934297\pi\) |
−0.849733 | + | 0.527213i | \(0.823237\pi\) | |||||||
\(42\) | −9.37664 | − | 5.89400i | −1.44685 | − | 0.909464i | ||||
\(43\) | −0.680767 | + | 0.335717i | −0.103816 | + | 0.0511964i | −0.493455 | − | 0.869771i | \(-0.664266\pi\) |
0.389639 | + | 0.920968i | \(0.372600\pi\) | |||||||
\(44\) | −0.434082 | + | 7.73552i | −0.0654404 | + | 1.16617i | ||||
\(45\) | −1.53465 | − | 3.91471i | −0.228772 | − | 0.583570i | ||||
\(46\) | 10.9885 | + | 1.39419i | 1.62017 | + | 0.205563i | ||||
\(47\) | −6.96522 | + | 1.86633i | −1.01598 | + | 0.272232i | −0.728127 | − | 0.685442i | \(-0.759609\pi\) |
−0.287855 | + | 0.957674i | \(0.592942\pi\) | |||||||
\(48\) | 6.46132 | − | 2.50028i | 0.932611 | − | 0.360884i | ||||
\(49\) | 12.9854 | + | 3.47942i | 1.85505 | + | 0.497059i | ||||
\(50\) | −3.97380 | − | 1.62418i | −0.561981 | − | 0.229694i | ||||
\(51\) | −8.78161 | + | 6.16681i | −1.22967 | + | 0.863525i | ||||
\(52\) | −0.899048 | + | 4.75271i | −0.124676 | + | 0.659082i | ||||
\(53\) | 2.43350 | − | 3.64199i | 0.334267 | − | 0.500266i | −0.625820 | − | 0.779968i | \(-0.715236\pi\) |
0.960087 | + | 0.279702i | \(0.0902355\pi\) | |||||||
\(54\) | 5.24161 | + | 5.15030i | 0.713292 | + | 0.700867i | ||||
\(55\) | 2.07780 | − | 5.01624i | 0.280170 | − | 0.676390i | ||||
\(56\) | −10.0352 | + | 7.92736i | −1.34100 | + | 1.05934i | ||||
\(57\) | −7.95270 | − | 3.08016i | −1.05336 | − | 0.407977i | ||||
\(58\) | 1.90605 | − | 9.82326i | 0.250277 | − | 1.28986i | ||||
\(59\) | −3.61828 | − | 4.12586i | −0.471060 | − | 0.537141i | 0.466704 | − | 0.884414i | \(-0.345441\pi\) |
−0.937764 | + | 0.347272i | \(0.887108\pi\) | |||||||
\(60\) | −4.85267 | + | 0.158122i | −0.626477 | + | 0.0204135i | ||||
\(61\) | 0.273068 | + | 4.16621i | 0.0349628 | + | 0.533429i | 0.979035 | + | 0.203691i | \(0.0652937\pi\) |
−0.944073 | + | 0.329738i | \(0.893040\pi\) | |||||||
\(62\) | 0.0557733 | + | 0.204306i | 0.00708322 | + | 0.0259469i | ||||
\(63\) | −12.0487 | − | 6.23048i | −1.51800 | − | 0.784967i | ||||
\(64\) | −0.225406 | − | 7.99682i | −0.0281758 | − | 0.999603i | ||||
\(65\) | 1.69487 | − | 2.93560i | 0.210223 | − | 0.364117i | ||||
\(66\) | 0.264484 | + | 9.48526i | 0.0325558 | + | 1.16755i | ||||
\(67\) | 14.0532 | + | 6.93027i | 1.71687 | + | 0.846668i | 0.986529 | + | 0.163587i | \(0.0523065\pi\) |
0.730343 | + | 0.683080i | \(0.239360\pi\) | |||||||
\(68\) | 3.31921 | + | 11.9378i | 0.402514 | + | 1.44767i | ||||
\(69\) | 13.5539 | + | 0.573264i | 1.63170 | + | 0.0690128i | ||||
\(70\) | 8.47292 | − | 2.92062i | 1.01271 | − | 0.349081i | ||||
\(71\) | 4.52696 | + | 10.9290i | 0.537251 | + | 1.29704i | 0.926635 | + | 0.375963i | \(0.122688\pi\) |
−0.389384 | + | 0.921076i | \(0.627312\pi\) | |||||||
\(72\) | 7.62889 | − | 3.71484i | 0.899073 | − | 0.437799i | ||||
\(73\) | 2.67255 | − | 6.45210i | 0.312798 | − | 0.755161i | −0.686801 | − | 0.726845i | \(-0.740986\pi\) |
0.999599 | − | 0.0283156i | \(-0.00901432\pi\) | |||||||
\(74\) | 6.05034 | + | 0.368031i | 0.703338 | + | 0.0427827i | ||||
\(75\) | −5.01653 | − | 1.57419i | −0.579259 | − | 0.181772i | ||||
\(76\) | −6.42321 | + | 7.46455i | −0.736792 | + | 0.856243i | ||||
\(77\) | −5.63013 | − | 16.5858i | −0.641613 | − | 1.89013i | ||||
\(78\) | −0.609239 | + | 5.89267i | −0.0689827 | + | 0.667214i | ||||
\(79\) | 0.189066 | + | 0.705603i | 0.0212715 | + | 0.0793865i | 0.975746 | − | 0.218907i | \(-0.0702492\pi\) |
−0.954474 | + | 0.298294i | \(0.903583\pi\) | |||||||
\(80\) | −1.70206 | + | 5.34175i | −0.190296 | + | 0.597225i | ||||
\(81\) | 6.92584 | + | 5.74741i | 0.769538 | + | 0.638601i | ||||
\(82\) | 7.39853 | + | 0.938706i | 0.817031 | + | 0.103663i | ||||
\(83\) | 3.58112 | + | 3.14055i | 0.393078 | + | 0.344721i | 0.832958 | − | 0.553336i | \(-0.186646\pi\) |
−0.439880 | + | 0.898057i | \(0.644979\pi\) | |||||||
\(84\) | −11.4333 | + | 10.7052i | −1.24747 | + | 1.16803i | ||||
\(85\) | 0.567915 | − | 8.66471i | 0.0615990 | − | 0.939820i | ||||
\(86\) | 0.214362 | + | 1.05183i | 0.0231153 | + | 0.113422i | ||||
\(87\) | 1.31760 | − | 12.1843i | 0.141261 | − | 1.30630i | ||||
\(88\) | 10.4240 | + | 3.37544i | 1.11120 | + | 0.359824i | ||||
\(89\) | −3.19080 | + | 1.32167i | −0.338224 | + | 0.140097i | −0.545330 | − | 0.838222i | \(-0.683596\pi\) |
0.207106 | + | 0.978319i | \(0.433596\pi\) | |||||||
\(90\) | −5.90613 | + | 0.691231i | −0.622561 | + | 0.0728622i | ||||
\(91\) | −2.13333 | − | 10.7250i | −0.223634 | − | 1.12428i | ||||
\(92\) | 5.85841 | − | 14.5280i | 0.610782 | − | 1.51464i | ||||
\(93\) | 0.0890449 | + | 0.243615i | 0.00923353 | + | 0.0252617i | ||||
\(94\) | 0.0478946 | + | 10.1977i | 0.00493995 | + | 1.05181i | ||||
\(95\) | 5.97663 | − | 3.45061i | 0.613189 | − | 0.354025i | ||||
\(96\) | −1.09618 | − | 9.73645i | −0.111878 | − | 0.993722i | ||||
\(97\) | 10.7249 | + | 6.19202i | 1.08895 | + | 0.628704i | 0.933296 | − | 0.359108i | \(-0.116919\pi\) |
0.155651 | + | 0.987812i | \(0.450252\pi\) | |||||||
\(98\) | 9.42851 | − | 16.5092i | 0.952423 | − | 1.66768i | ||||
\(99\) | 1.29669 | + | 11.5490i | 0.130323 | + | 1.16071i | ||||
\(100\) | −3.65044 | + | 4.85102i | −0.365044 | + | 0.485102i | ||||
\(101\) | −4.42694 | − | 1.50274i | −0.440497 | − | 0.149529i | 0.0923751 | − | 0.995724i | \(-0.470554\pi\) |
−0.532872 | + | 0.846196i | \(0.678887\pi\) | |||||||
\(102\) | 5.27661 | + | 14.2285i | 0.522462 | + | 1.40883i | ||||
\(103\) | 10.7790 | + | 8.27101i | 1.06208 | + | 0.814966i | 0.983312 | − | 0.181926i | \(-0.0582332\pi\) |
0.0787727 | + | 0.996893i | \(0.474900\pi\) | |||||||
\(104\) | 6.17711 | + | 2.93876i | 0.605716 | + | 0.288169i | ||||
\(105\) | 10.0408 | − | 4.43439i | 0.979877 | − | 0.432752i | ||||
\(106\) | −4.10616 | − | 4.63805i | −0.398825 | − | 0.450487i | ||||
\(107\) | −8.64801 | − | 5.77842i | −0.836035 | − | 0.558620i | 0.0622369 | − | 0.998061i | \(-0.480177\pi\) |
−0.898271 | + | 0.439441i | \(0.855177\pi\) | |||||||
\(108\) | 8.92912 | − | 5.31702i | 0.859205 | − | 0.511631i | ||||
\(109\) | 1.73740 | − | 8.73449i | 0.166413 | − | 0.836612i | −0.803901 | − | 0.594763i | \(-0.797246\pi\) |
0.970314 | − | 0.241849i | \(-0.0777540\pi\) | |||||||
\(110\) | −6.11367 | − | 4.64573i | −0.582916 | − | 0.442953i | ||||
\(111\) | 7.42183 | − | 0.172068i | 0.704449 | − | 0.0163320i | ||||
\(112\) | 7.23378 | + | 16.5761i | 0.683528 | + | 1.56629i | ||||
\(113\) | −16.8939 | − | 4.52670i | −1.58924 | − | 0.425836i | −0.647471 | − | 0.762090i | \(-0.724173\pi\) |
−0.941771 | + | 0.336254i | \(0.890840\pi\) | |||||||
\(114\) | −7.07266 | + | 9.76950i | −0.662416 | + | 0.914998i | ||||
\(115\) | −7.23812 | + | 8.25349i | −0.674958 | + | 0.769642i | ||||
\(116\) | −12.7501 | − | 6.13947i | −1.18382 | − | 0.570035i | ||||
\(117\) | −0.138499 | + | 7.25417i | −0.0128042 | + | 0.670648i | ||||
\(118\) | −6.94422 | + | 3.46515i | −0.639267 | + | 0.318993i | ||||
\(119\) | −17.0525 | − | 22.2232i | −1.56320 | − | 2.03720i | ||||
\(120\) | −1.52878 | + | 6.69401i | −0.139558 | + | 0.611076i | ||||
\(121\) | −2.43911 | + | 3.17871i | −0.221737 | + | 0.288974i | ||||
\(122\) | 5.79645 | + | 1.12471i | 0.524785 | + | 0.101826i | ||||
\(123\) | 9.12579 | + | 0.385977i | 0.822845 | + | 0.0348023i | ||||
\(124\) | 0.299492 | − | 0.00281326i | 0.0268951 | − | 0.000252638i | ||||
\(125\) | 9.36446 | − | 6.25713i | 0.837583 | − | 0.559655i | ||||
\(126\) | −12.8544 | + | 14.2389i | −1.14516 | + | 1.26850i | ||||
\(127\) | −14.1391 | −1.25464 | −0.627320 | − | 0.778761i | \(-0.715848\pi\) | ||||
−0.627320 | + | 0.778761i | \(0.715848\pi\) | |||||||
\(128\) | −11.0185 | − | 2.56741i | −0.973911 | − | 0.226929i | ||||
\(129\) | 0.369613 | + | 1.26168i | 0.0325426 | + | 0.111085i | ||||
\(130\) | −3.40562 | − | 3.37378i | −0.298693 | − | 0.295900i | ||||
\(131\) | 4.55043 | + | 2.24403i | 0.397573 | + | 0.196061i | 0.630075 | − | 0.776535i | \(-0.283024\pi\) |
−0.232501 | + | 0.972596i | \(0.574691\pi\) | |||||||
\(132\) | 13.0684 | + | 3.04921i | 1.13746 | + | 0.265400i | ||||
\(133\) | 7.15617 | − | 21.0814i | 0.620519 | − | 1.82799i | ||||
\(134\) | 14.5324 | − | 16.7288i | 1.25540 | − | 1.44515i | ||||
\(135\) | −7.13706 | + | 1.45002i | −0.614261 | + | 0.124798i | ||||
\(136\) | 17.5213 | − | 0.246887i | 1.50244 | − | 0.0211704i | ||||
\(137\) | 7.58765 | + | 9.88842i | 0.648257 | + | 0.844825i | 0.995677 | − | 0.0928849i | \(-0.0296089\pi\) |
−0.347420 | + | 0.937710i | \(0.612942\pi\) | |||||||
\(138\) | 5.65813 | − | 18.3319i | 0.481652 | − | 1.56052i | ||||
\(139\) | −8.13816 | − | 0.533403i | −0.690270 | − | 0.0452427i | −0.283768 | − | 0.958893i | \(-0.591585\pi\) |
−0.406501 | + | 0.913650i | \(0.633251\pi\) | |||||||
\(140\) | −0.947706 | − | 12.6389i | −0.0800958 | − | 1.06818i | ||||
\(141\) | 1.10551 | + | 12.4407i | 0.0931008 | + | 1.04769i | ||||
\(142\) | 16.5759 | − | 2.26151i | 1.39102 | − | 0.189781i | ||||
\(143\) | −6.62480 | + | 6.62480i | −0.553994 | + | 0.553994i | ||||
\(144\) | −2.33751 | − | 11.7701i | −0.194792 | − | 0.980844i | ||||
\(145\) | 7.01249 | + | 7.01249i | 0.582355 | + | 0.582355i | ||||
\(146\) | −7.86366 | − | 5.97553i | −0.650801 | − | 0.494539i | ||||
\(147\) | 9.81176 | − | 21.1165i | 0.809261 | − | 1.74166i | ||||
\(148\) | 2.67910 | − | 8.14289i | 0.220221 | − | 0.669341i | ||||
\(149\) | 0.168774 | − | 2.57500i | 0.0138265 | − | 0.210952i | −0.985355 | − | 0.170513i | \(-0.945458\pi\) |
0.999182 | − | 0.0404392i | \(-0.0128757\pi\) | |||||||
\(150\) | −3.95704 | + | 6.29516i | −0.323091 | + | 0.513998i | ||||
\(151\) | −6.49156 | + | 4.98115i | −0.528275 | + | 0.405360i | −0.838168 | − | 0.545411i | \(-0.816373\pi\) |
0.309893 | + | 0.950771i | \(0.399707\pi\) | |||||||
\(152\) | 7.89967 | + | 11.4695i | 0.640748 | + | 0.930300i | ||||
\(153\) | 7.90067 | + | 16.8231i | 0.638731 | + | 1.36007i | ||||
\(154\) | −24.7095 | + | 1.73614i | −1.99115 | + | 0.139902i | ||||
\(155\) | −0.198752 | − | 0.0674674i | −0.0159642 | − | 0.00541911i | ||||
\(156\) | 7.84050 | + | 2.95231i | 0.627742 | + | 0.236374i | ||||
\(157\) | 2.80903 | − | 5.69615i | 0.224185 | − | 0.454602i | −0.755499 | − | 0.655150i | \(-0.772606\pi\) |
0.979684 | + | 0.200548i | \(0.0642722\pi\) | |||||||
\(158\) | 1.03306 | − | 0.00485190i | 0.0821860 | − | 0.000385996i | ||||
\(159\) | −5.48751 | − | 5.23883i | −0.435188 | − | 0.415466i | ||||
\(160\) | 6.69399 | + | 4.24888i | 0.529207 | + | 0.335903i | ||||
\(161\) | 35.4135i | 2.79097i | ||||||||
\(162\) | 10.3515 | − | 7.40588i | 0.813288 | − | 0.581861i | ||||
\(163\) | 6.16104 | + | 9.22065i | 0.482570 | + | 0.722217i | 0.990246 | − | 0.139331i | \(-0.0444952\pi\) |
−0.507676 | + | 0.861548i | \(0.669495\pi\) | |||||||
\(164\) | 3.94445 | − | 9.78162i | 0.308010 | − | 0.763816i | ||||
\(165\) | −7.93834 | − | 5.04208i | −0.617999 | − | 0.392525i | ||||
\(166\) | 5.58322 | − | 3.76864i | 0.433342 | − | 0.292503i | ||||
\(167\) | 0.307343 | + | 0.235833i | 0.0237829 | + | 0.0182493i | 0.620585 | − | 0.784140i | \(-0.286895\pi\) |
−0.596802 | + | 0.802389i | \(0.703562\pi\) | |||||||
\(168\) | 10.5303 | + | 19.4873i | 0.812432 | + | 1.50348i | ||||
\(169\) | 5.67317 | − | 4.35317i | 0.436397 | − | 0.334860i | ||||
\(170\) | −11.6468 | − | 3.89263i | −0.893265 | − | 0.298551i | ||||
\(171\) | −7.62862 | + | 12.6492i | −0.583375 | + | 0.967310i | ||||
\(172\) | 1.51571 | + | 0.0850545i | 0.115571 | + | 0.00648534i | ||||
\(173\) | 5.62202 | + | 4.93038i | 0.427434 | + | 0.374850i | 0.845863 | − | 0.533400i | \(-0.179086\pi\) |
−0.418429 | + | 0.908250i | \(0.637419\pi\) | |||||||
\(174\) | −16.1911 | − | 6.18367i | −1.22744 | − | 0.468783i | ||||
\(175\) | 3.55230 | − | 13.2574i | 0.268529 | − | 1.00216i | ||||
\(176\) | 8.36523 | − | 13.0434i | 0.630553 | − | 0.983182i | ||||
\(177\) | −8.11917 | + | 4.94199i | −0.610274 | + | 0.371463i | ||||
\(178\) | 0.660260 | + | 4.83943i | 0.0494886 | + | 0.362731i | ||||
\(179\) | 23.7424 | + | 4.72266i | 1.77459 | + | 0.352988i | 0.970422 | − | 0.241414i | \(-0.0776110\pi\) |
0.804168 | + | 0.594402i | \(0.202611\pi\) | |||||||
\(180\) | −1.17846 | + | 8.32656i | −0.0878373 | + | 0.620625i | ||||
\(181\) | −6.95642 | + | 10.4110i | −0.517067 | + | 0.773845i | −0.994490 | − | 0.104828i | \(-0.966571\pi\) |
0.477424 | + | 0.878673i | \(0.341571\pi\) | |||||||
\(182\) | −15.4360 | − | 0.938944i | −1.14419 | − | 0.0695992i | ||||
\(183\) | 7.18966 | + | 0.777478i | 0.531475 | + | 0.0574728i | ||||
\(184\) | −17.7636 | − | 13.2371i | −1.30955 | − | 0.975849i | ||||
\(185\) | −3.65708 | + | 4.76601i | −0.268874 | + | 0.350404i | ||||
\(186\) | 0.365221 | − | 0.0341840i | 0.0267793 | − | 0.00250649i | ||||
\(187\) | −7.71446 | + | 22.7261i | −0.564137 | + | 1.66189i | ||||
\(188\) | 13.9649 | + | 3.60164i | 1.01849 | + | 0.262676i | ||||
\(189\) | −14.2259 | + | 18.6975i | −1.03479 | + | 1.36004i | ||||
\(190\) | −2.57027 | − | 9.41527i | −0.186467 | − | 0.683055i | ||||
\(191\) | −3.33521 | + | 5.77676i | −0.241328 | + | 0.417992i | −0.961093 | − | 0.276226i | \(-0.910916\pi\) |
0.719765 | + | 0.694218i | \(0.244250\pi\) | |||||||
\(192\) | −13.7110 | − | 2.00201i | −0.989507 | − | 0.144483i | ||||
\(193\) | −3.43176 | − | 5.94398i | −0.247023 | − | 0.427857i | 0.715675 | − | 0.698433i | \(-0.246119\pi\) |
−0.962699 | + | 0.270576i | \(0.912786\pi\) | |||||||
\(194\) | 12.3257 | − | 12.4421i | 0.884936 | − | 0.893288i | ||||
\(195\) | −4.50274 | − | 3.76780i | −0.322448 | − | 0.269818i | ||||
\(196\) | −19.1896 | − | 18.8325i | −1.37069 | − | 1.34518i | ||||
\(197\) | −11.8187 | + | 2.35088i | −0.842044 | + | 0.167493i | −0.597223 | − | 0.802075i | \(-0.703729\pi\) |
−0.244821 | + | 0.969568i | \(0.578729\pi\) | |||||||
\(198\) | 16.2622 | + | 2.37955i | 1.15570 | + | 0.169107i | ||||
\(199\) | 7.82868 | + | 18.9001i | 0.554960 | + | 1.33979i | 0.913713 | + | 0.406360i | \(0.133202\pi\) |
−0.358753 | + | 0.933433i | \(0.616798\pi\) | |||||||
\(200\) | 5.32217 | + | 6.73727i | 0.376334 | + | 0.476397i | ||||
\(201\) | 16.0181 | − | 21.9085i | 1.12983 | − | 1.54531i | ||||
\(202\) | −3.64730 | + | 5.51446i | −0.256623 | + | 0.387996i | ||||
\(203\) | 31.9236 | + | 2.09238i | 2.24060 | + | 0.146857i | ||||
\(204\) | 21.3582 | − | 2.10033i | 1.49537 | − | 0.147052i | ||||
\(205\) | −4.87340 | + | 5.55705i | −0.340373 | + | 0.388121i | ||||
\(206\) | 15.1887 | − | 11.7684i | 1.05825 | − | 0.819946i | ||||
\(207\) | 5.02312 | − | 22.9538i | 0.349131 | − | 1.59540i | ||||
\(208\) | 6.24075 | − | 7.39183i | 0.432718 | − | 0.512531i | ||||
\(209\) | −18.4243 | + | 4.93677i | −1.27443 | + | 0.341484i | ||||
\(210\) | −2.45433 | − | 15.3277i | −0.169365 | − | 1.05771i | ||||
\(211\) | −13.6722 | + | 4.64108i | −0.941231 | + | 0.319505i | −0.749546 | − | 0.661952i | \(-0.769728\pi\) |
−0.191685 | + | 0.981457i | \(0.561395\pi\) | |||||||
\(212\) | −7.82020 | + | 3.94824i | −0.537093 | + | 0.271166i | ||||
\(213\) | 19.9976 | − | 4.46196i | 1.37021 | − | 0.305729i | ||||
\(214\) | −11.0132 | + | 9.75019i | −0.752846 | + | 0.666509i | ||||
\(215\) | −0.982887 | − | 0.407125i | −0.0670323 | − | 0.0277657i | ||||
\(216\) | −4.06129 | − | 14.1247i | −0.276336 | − | 0.961061i | ||||
\(217\) | −0.625556 | + | 0.259114i | −0.0424655 | + | 0.0175898i | ||||
\(218\) | −11.3216 | − | 5.51726i | −0.766798 | − | 0.373676i | ||||
\(219\) | −10.2106 | − | 6.48533i | −0.689970 | − | 0.438238i | ||||
\(220\) | −8.55262 | + | 6.69122i | −0.576617 | + | 0.451122i | ||||
\(221\) | −6.62698 | + | 13.4382i | −0.445779 | + | 0.903950i | ||||
\(222\) | 2.43359 | − | 10.2129i | 0.163332 | − | 0.685447i | ||||
\(223\) | −1.24110 | − | 0.716552i | −0.0831105 | − | 0.0479839i | 0.457869 | − | 0.889020i | \(-0.348613\pi\) |
−0.540979 | + | 0.841036i | \(0.681946\pi\) | |||||||
\(224\) | 25.2729 | − | 3.93300i | 1.68862 | − | 0.262784i | ||||
\(225\) | −4.18294 | + | 8.08912i | −0.278863 | + | 0.539275i | ||||
\(226\) | −12.2664 | + | 21.4784i | −0.815951 | + | 1.42872i | ||||
\(227\) | −3.60298 | + | 0.236152i | −0.239138 | + | 0.0156739i | −0.184501 | − | 0.982832i | \(-0.559067\pi\) |
−0.0546372 | + | 0.998506i | \(0.517400\pi\) | |||||||
\(228\) | 10.8187 | + | 13.1867i | 0.716483 | + | 0.873308i | ||||
\(229\) | 19.5667 | − | 17.1595i | 1.29300 | − | 1.13393i | 0.309924 | − | 0.950761i | \(-0.399696\pi\) |
0.983081 | − | 0.183173i | \(-0.0586369\pi\) | |||||||
\(230\) | 8.68568 | + | 12.8678i | 0.572717 | + | 0.848477i | ||||
\(231\) | −29.9781 | + | 4.65592i | −1.97241 | + | 0.306337i | ||||
\(232\) | −12.9822 | + | 15.2310i | −0.852320 | + | 0.999961i | ||||
\(233\) | −1.29149 | − | 0.534954i | −0.0846086 | − | 0.0350460i | 0.339978 | − | 0.940433i | \(-0.389580\pi\) |
−0.424586 | + | 0.905387i | \(0.639580\pi\) | |||||||
\(234\) | 9.87194 | + | 2.79807i | 0.645349 | + | 0.182916i | ||||
\(235\) | −8.40347 | − | 5.61502i | −0.548182 | − | 0.366283i | ||||
\(236\) | 2.24221 | + | 10.7439i | 0.145955 | + | 0.699368i | ||||
\(237\) | 1.26029 | − | 0.111992i | 0.0818644 | − | 0.00727468i | ||||
\(238\) | −36.5276 | + | 15.3316i | −2.36773 | + | 0.993800i | ||||
\(239\) | −2.08587 | + | 7.78456i | −0.134923 | + | 0.503541i | 0.865075 | + | 0.501643i | \(0.167271\pi\) |
−0.999998 | + | 0.00189816i | \(0.999396\pi\) | |||||||
\(240\) | 8.60583 | + | 4.49816i | 0.555504 | + | 0.290355i | ||||
\(241\) | −1.96556 | − | 7.33556i | −0.126613 | − | 0.472525i | 0.873279 | − | 0.487220i | \(-0.161989\pi\) |
−0.999892 | + | 0.0146949i | \(0.995322\pi\) | |||||||
\(242\) | 3.47050 | + | 4.47913i | 0.223092 | + | 0.287929i | ||||
\(243\) | 11.8729 | − | 10.1012i | 0.761645 | − | 0.647994i | ||||
\(244\) | 3.62273 | − | 7.52352i | 0.231922 | − | 0.481644i | ||||
\(245\) | 8.33368 | + | 16.8990i | 0.532419 | + | 1.07964i | ||||
\(246\) | 3.80960 | − | 12.3428i | 0.242891 | − | 0.786949i | ||||
\(247\) | −11.8064 | + | 1.55435i | −0.751226 | + | 0.0989007i | ||||
\(248\) | 0.103851 | − | 0.410635i | 0.00659455 | − | 0.0260754i | ||||
\(249\) | 6.42700 | − | 5.17263i | 0.407294 | − | 0.327802i | ||||
\(250\) | −5.19055 | − | 15.0581i | −0.328279 | − | 0.952361i | ||||
\(251\) | 3.89677 | − | 0.775115i | 0.245962 | − | 0.0489248i | −0.0705697 | − | 0.997507i | \(-0.522482\pi\) |
0.316531 | + | 0.948582i | \(0.397482\pi\) | |||||||
\(252\) | 14.8524 | + | 22.7017i | 0.935615 | + | 1.43007i | ||||
\(253\) | 25.2279 | − | 16.8567i | 1.58606 | − | 1.05977i | ||||
\(254\) | −5.08450 | + | 19.3384i | −0.319030 | + | 1.21340i | ||||
\(255\) | −14.6138 | − | 3.55486i | −0.915150 | − | 0.222614i | ||||
\(256\) | −7.47385 | + | 14.1471i | −0.467116 | + | 0.884196i | ||||
\(257\) | −5.07621 | − | 8.79225i | −0.316645 | − | 0.548445i | 0.663141 | − | 0.748495i | \(-0.269223\pi\) |
−0.979786 | + | 0.200049i | \(0.935890\pi\) | |||||||
\(258\) | 1.85855 | − | 0.0518233i | 0.115708 | − | 0.00322638i | ||||
\(259\) | 1.26748 | + | 19.3381i | 0.0787576 | + | 1.20161i | ||||
\(260\) | −5.83910 | + | 3.44474i | −0.362126 | + | 0.213634i | ||||
\(261\) | −20.3950 | − | 5.88433i | −1.26242 | − | 0.364231i | ||||
\(262\) | 4.70558 | − | 5.41680i | 0.290712 | − | 0.334651i | ||||
\(263\) | 6.30260 | + | 0.829753i | 0.388635 | + | 0.0511648i | 0.322312 | − | 0.946633i | \(-0.395540\pi\) |
0.0663229 | + | 0.997798i | \(0.478873\pi\) | |||||||
\(264\) | 8.86996 | − | 16.7775i | 0.545908 | − | 1.03258i | ||||
\(265\) | 6.08670 | − | 0.801329i | 0.373903 | − | 0.0492253i | ||||
\(266\) | −26.2603 | − | 17.3687i | −1.61012 | − | 1.06494i | ||||
\(267\) | 1.30270 | + | 5.83841i | 0.0797238 | + | 0.357305i | ||||
\(268\) | −17.6546 | − | 25.8921i | −1.07842 | − | 1.58161i | ||||
\(269\) | −18.8028 | − | 3.74010i | −1.14643 | − | 0.228038i | −0.414909 | − | 0.909863i | \(-0.636187\pi\) |
−0.731516 | + | 0.681825i | \(0.761187\pi\) | |||||||
\(270\) | −0.583294 | + | 10.2830i | −0.0354982 | + | 0.625804i | ||||
\(271\) | −18.5076 | + | 18.5076i | −1.12426 | + | 1.12426i | −0.133166 | + | 0.991094i | \(0.542514\pi\) |
−0.991094 | + | 0.133166i | \(0.957486\pi\) | |||||||
\(272\) | 5.96308 | − | 24.0532i | 0.361565 | − | 1.45844i | ||||
\(273\) | −18.9350 | + | 0.438991i | −1.14600 | + | 0.0265690i | ||||
\(274\) | 16.2532 | − | 6.82192i | 0.981894 | − | 0.412127i | ||||
\(275\) | −11.1352 | + | 3.77988i | −0.671476 | + | 0.227935i | ||||
\(276\) | −23.0384 | − | 14.3311i | −1.38675 | − | 0.862628i | ||||
\(277\) | 4.08741 | − | 2.01569i | 0.245589 | − | 0.121111i | −0.315329 | − | 0.948982i | \(-0.602115\pi\) |
0.560918 | + | 0.827871i | \(0.310448\pi\) | |||||||
\(278\) | −3.65608 | + | 10.9390i | −0.219277 | + | 0.656077i | ||||
\(279\) | 0.442218 | − | 0.0792187i | 0.0264749 | − | 0.00474270i | ||||
\(280\) | −17.6274 | − | 3.24883i | −1.05344 | − | 0.194155i | ||||
\(281\) | 3.18431 | − | 24.1872i | 0.189960 | − | 1.44289i | −0.585080 | − | 0.810975i | \(-0.698937\pi\) |
0.775040 | − | 0.631912i | \(-0.217730\pi\) | |||||||
\(282\) | 17.4130 | + | 2.96170i | 1.03693 | + | 0.176367i | ||||
\(283\) | 17.9483 | − | 15.7402i | 1.06691 | − | 0.935659i | 0.0688368 | − | 0.997628i | \(-0.478071\pi\) |
0.998078 | + | 0.0619687i | \(0.0197379\pi\) | |||||||
\(284\) | 2.86766 | − | 23.4846i | 0.170164 | − | 1.39355i | ||||
\(285\) | −4.10356 | − | 11.2268i | −0.243074 | − | 0.665018i | ||||
\(286\) | 6.67862 | + | 11.4433i | 0.394915 | + | 0.676654i | ||||
\(287\) | 23.8438i | 1.40745i | ||||||||
\(288\) | −16.9389 | − | 1.03553i | −0.998137 | − | 0.0610190i | ||||
\(289\) | 21.3820i | 1.25777i | ||||||||
\(290\) | 12.1129 | − | 7.06945i | 0.711295 | − | 0.415133i | ||||
\(291\) | 13.7652 | − | 16.4503i | 0.806933 | − | 0.964332i | ||||
\(292\) | −11.0007 | + | 8.60652i | −0.643769 | + | 0.503659i | ||||
\(293\) | 9.61162 | − | 8.42917i | 0.561517 | − | 0.492437i | −0.330889 | − | 0.943670i | \(-0.607349\pi\) |
0.892407 | + | 0.451232i | \(0.149015\pi\) | |||||||
\(294\) | −25.3533 | − | 21.0135i | −1.47863 | − | 1.22553i | ||||
\(295\) | 1.00394 | − | 7.62568i | 0.0584517 | − | 0.443984i | ||||
\(296\) | −10.1738 | − | 6.59252i | −0.591343 | − | 0.383182i | ||||
\(297\) | 20.0912 | + | 1.23435i | 1.16581 | + | 0.0716240i | ||||
\(298\) | −3.46121 | − | 1.15682i | −0.200502 | − | 0.0670128i | ||||
\(299\) | 16.9890 | − | 8.37805i | 0.982500 | − | 0.484515i | ||||
\(300\) | 7.18711 | + | 7.67593i | 0.414948 | + | 0.443170i | ||||
\(301\) | −3.24984 | + | 1.10317i | −0.187318 | + | 0.0635858i | ||||
\(302\) | 4.47846 | + | 10.6699i | 0.257706 | + | 0.613986i | ||||
\(303\) | −3.88509 | + | 7.10453i | −0.223192 | + | 0.408144i | ||||
\(304\) | 18.5279 | − | 6.68011i | 1.06265 | − | 0.383130i | ||||
\(305\) | −4.13788 | + | 4.13788i | −0.236934 | + | 0.236934i | ||||
\(306\) | 25.8506 | − | 4.75628i | 1.47778 | − | 0.271899i | ||||
\(307\) | −11.3211 | − | 2.25190i | −0.646127 | − | 0.128523i | −0.138860 | − | 0.990312i | \(-0.544344\pi\) |
−0.507266 | + | 0.861789i | \(0.669344\pi\) | |||||||
\(308\) | −6.51113 | + | 34.4203i | −0.371006 | + | 1.96128i | ||||
\(309\) | 17.3284 | − | 15.9221i | 0.985780 | − | 0.905777i | ||||
\(310\) | −0.163750 | + | 0.247578i | −0.00930035 | + | 0.0140615i | ||||
\(311\) | −4.07662 | + | 0.536698i | −0.231164 | + | 0.0304333i | −0.245218 | − | 0.969468i | \(-0.578860\pi\) |
0.0140541 | + | 0.999901i | \(0.495526\pi\) | |||||||
\(312\) | 6.85745 | − | 9.66201i | 0.388227 | − | 0.547004i | ||||
\(313\) | −15.5018 | − | 2.04086i | −0.876216 | − | 0.115356i | −0.321017 | − | 0.947073i | \(-0.604025\pi\) |
−0.555199 | + | 0.831717i | \(0.687358\pi\) | |||||||
\(314\) | −6.78064 | − | 5.89036i | −0.382654 | − | 0.332412i | ||||
\(315\) | −4.56913 | − | 18.4544i | −0.257441 | − | 1.03979i | ||||
\(316\) | 0.364859 | − | 1.41469i | 0.0205249 | − | 0.0795828i | ||||
\(317\) | 0.960020 | + | 14.6471i | 0.0539201 | + | 0.822661i | 0.936097 | + | 0.351743i | \(0.114411\pi\) |
−0.882177 | + | 0.470919i | \(0.843923\pi\) | |||||||
\(318\) | −9.13864 | + | 5.62151i | −0.512470 | + | 0.315239i | ||||
\(319\) | −13.7050 | − | 23.7377i | −0.767332 | − | 1.32906i | ||||
\(320\) | 8.21852 | − | 7.62765i | 0.459429 | − | 0.426399i | ||||
\(321\) | −12.4397 | + | 13.0302i | −0.694319 | + | 0.727277i | ||||
\(322\) | 48.4361 | + | 12.7349i | 2.69924 | + | 0.709688i | ||||
\(323\) | −25.3638 | + | 16.9476i | −1.41128 | + | 0.942988i | ||||
\(324\) | −6.40679 | − | 16.8212i | −0.355933 | − | 0.934511i | ||||
\(325\) | −7.20040 | + | 1.43225i | −0.399406 | + | 0.0794468i | ||||
\(326\) | 14.8269 | − | 5.11084i | 0.821186 | − | 0.283063i | ||||
\(327\) | −14.3838 | − | 5.57099i | −0.795426 | − | 0.308076i | ||||
\(328\) | −11.9602 | − | 8.91246i | −0.660389 | − | 0.492109i | ||||
\(329\) | −32.3249 | + | 4.25565i | −1.78213 | + | 0.234622i | ||||
\(330\) | −9.75087 | + | 9.04434i | −0.536768 | + | 0.497874i | ||||
\(331\) | 4.89364 | + | 9.92332i | 0.268979 | + | 0.545435i | 0.988893 | − | 0.148628i | \(-0.0474857\pi\) |
−0.719915 | + | 0.694063i | \(0.755819\pi\) | |||||||
\(332\) | −3.14672 | − | 8.99155i | −0.172699 | − | 0.493476i | ||||
\(333\) | 1.92141 | − | 12.7141i | 0.105293 | − | 0.696727i | ||||
\(334\) | 0.433078 | − | 0.335555i | 0.0236970 | − | 0.0183608i | ||||
\(335\) | 5.68410 | + | 21.2133i | 0.310556 | + | 1.15901i | ||||
\(336\) | 30.4401 | − | 7.39489i | 1.66064 | − | 0.403424i | ||||
\(337\) | −3.82808 | + | 14.2866i | −0.208529 | + | 0.778240i | 0.779816 | + | 0.626009i | \(0.215313\pi\) |
−0.988345 | + | 0.152231i | \(0.951354\pi\) | |||||||
\(338\) | −3.91386 | − | 9.32478i | −0.212886 | − | 0.507201i | ||||
\(339\) | −12.7650 | + | 27.4725i | −0.693302 | + | 1.49210i | ||||
\(340\) | −9.51231 | + | 14.5298i | −0.515877 | + | 0.787989i | ||||
\(341\) | 0.482350 | + | 0.322296i | 0.0261207 | + | 0.0174533i | ||||
\(342\) | 14.5574 | + | 14.9826i | 0.787175 | + | 0.810167i | ||||
\(343\) | 26.9159 | + | 11.1489i | 1.45332 | + | 0.601986i | ||||
\(344\) | 0.661388 | − | 2.04249i | 0.0356596 | − | 0.110124i | ||||
\(345\) | 11.9215 | + | 14.8125i | 0.641832 | + | 0.797477i | ||||
\(346\) | 8.76514 | − | 5.91641i | 0.471217 | − | 0.318068i | ||||
\(347\) | −8.06366 | + | 7.07164i | −0.432880 | + | 0.379625i | −0.847873 | − | 0.530199i | \(-0.822117\pi\) |
0.414993 | + | 0.909824i | \(0.363784\pi\) | |||||||
\(348\) | −14.2800 | + | 19.9213i | −0.765488 | + | 1.06789i | ||||
\(349\) | 0.0299433 | − | 0.00196259i | 0.00160283 | − | 0.000105055i | −0.0646017 | − | 0.997911i | \(-0.520578\pi\) |
0.0662045 | + | 0.997806i | \(0.478911\pi\) | |||||||
\(350\) | −16.8551 | − | 9.62602i | −0.900942 | − | 0.514532i | ||||
\(351\) | 12.3353 | + | 2.40125i | 0.658411 | + | 0.128169i | ||||
\(352\) | −14.8316 | − | 16.1318i | −0.790529 | − | 0.859830i | ||||
\(353\) | −24.2568 | − | 14.0047i | −1.29106 | − | 0.745393i | −0.312216 | − | 0.950011i | \(-0.601071\pi\) |
−0.978842 | + | 0.204618i | \(0.934405\pi\) | |||||||
\(354\) | 3.83960 | + | 12.8820i | 0.204073 | + | 0.684670i | ||||
\(355\) | −7.33320 | + | 14.8703i | −0.389206 | + | 0.789231i | ||||
\(356\) | 6.85646 | + | 0.837229i | 0.363392 | + | 0.0443731i | ||||
\(357\) | −43.0053 | + | 22.4617i | −2.27608 | + | 1.18880i | ||||
\(358\) | 14.9972 | − | 30.7749i | 0.792628 | − | 1.62650i | ||||
\(359\) | 3.76459 | − | 1.55934i | 0.198688 | − | 0.0822991i | −0.281121 | − | 0.959672i | \(-0.590706\pi\) |
0.479808 | + | 0.877373i | \(0.340706\pi\) | |||||||
\(360\) | 10.9647 | + | 4.60609i | 0.577890 | + | 0.242762i | ||||
\(361\) | −4.84509 | − | 2.00690i | −0.255005 | − | 0.105626i | ||||
\(362\) | 11.7379 | + | 13.2584i | 0.616930 | + | 0.696844i | ||||
\(363\) | 4.69541 | + | 5.11014i | 0.246445 | + | 0.268213i | ||||
\(364\) | −6.83511 | + | 20.7747i | −0.358257 | + | 1.08889i | ||||
\(365\) | 9.26882 | − | 3.14634i | 0.485152 | − | 0.164687i | ||||
\(366\) | 3.64882 | − | 9.55392i | 0.190727 | − | 0.499391i | ||||
\(367\) | −28.4655 | + | 7.62732i | −1.48589 | + | 0.398143i | −0.908347 | − | 0.418218i | \(-0.862655\pi\) |
−0.577542 | + | 0.816361i | \(0.695988\pi\) | |||||||
\(368\) | −24.4926 | + | 19.5357i | −1.27677 | + | 1.01837i | ||||
\(369\) | 3.38205 | − | 15.4547i | 0.176062 | − | 0.804541i | ||||
\(370\) | 5.20350 | + | 6.71578i | 0.270517 | + | 0.349137i | ||||
\(371\) | 13.0582 | − | 14.8900i | 0.677947 | − | 0.773050i | ||||
\(372\) | 0.0845810 | − | 0.511816i | 0.00438532 | − | 0.0265364i | ||||
\(373\) | −24.0882 | − | 1.57882i | −1.24724 | − | 0.0817484i | −0.572562 | − | 0.819861i | \(-0.694051\pi\) |
−0.674677 | + | 0.738113i | \(0.735717\pi\) | |||||||
\(374\) | 28.3089 | + | 18.7237i | 1.46382 | + | 0.968180i | ||||
\(375\) | −7.88083 | − | 17.8445i | −0.406964 | − | 0.921487i | ||||
\(376\) | 9.94792 | − | 17.8050i | 0.513025 | − | 0.918224i | ||||
\(377\) | −6.54864 | − | 15.8098i | −0.337272 | − | 0.814247i | ||||
\(378\) | 20.4573 | + | 26.1810i | 1.05221 | + | 1.34660i | ||||
\(379\) | 7.39320 | − | 1.47060i | 0.379763 | − | 0.0755396i | −0.00151760 | − | 0.999999i | \(-0.500483\pi\) |
0.381281 | + | 0.924459i | \(0.375483\pi\) | |||||||
\(380\) | −13.8018 | + | 0.129647i | −0.708019 | + | 0.00665073i | ||||
\(381\) | −4.21969 | + | 24.1233i | −0.216181 | + | 1.23588i | ||||
\(382\) | 6.70168 | + | 6.63903i | 0.342888 | + | 0.339682i | ||||
\(383\) | 7.83439 | + | 13.5696i | 0.400319 | + | 0.693372i | 0.993764 | − | 0.111502i | \(-0.0355661\pi\) |
−0.593446 | + | 0.804874i | \(0.702233\pi\) | |||||||
\(384\) | −7.66877 | + | 18.0330i | −0.391345 | + | 0.920244i | ||||
\(385\) | 12.2747 | − | 21.2604i | 0.625575 | − | 1.08353i | ||||
\(386\) | −9.36384 | + | 2.55623i | −0.476607 | + | 0.130109i | ||||
\(387\) | 2.26292 | − | 0.254076i | 0.115030 | − | 0.0129154i | ||||
\(388\) | −12.5850 | − | 21.3325i | −0.638905 | − | 1.08299i | ||||
\(389\) | −8.19254 | + | 24.1345i | −0.415378 | + | 1.22367i | 0.515040 | + | 0.857166i | \(0.327777\pi\) |
−0.930418 | + | 0.366499i | \(0.880556\pi\) | |||||||
\(390\) | −6.77255 | + | 4.80361i | −0.342941 | + | 0.243240i | ||||
\(391\) | 29.5395 | − | 38.4966i | 1.49388 | − | 1.94686i | ||||
\(392\) | −32.6584 | + | 19.4739i | −1.64950 | + | 0.983583i | ||||
\(393\) | 5.18667 | − | 7.09399i | 0.261633 | − | 0.357844i | ||||
\(394\) | −1.03469 | + | 17.0101i | −0.0521271 | + | 0.856957i | ||||
\(395\) | −0.568822 | + | 0.851302i | −0.0286205 | + | 0.0428337i | ||||
\(396\) | 9.10254 | − | 21.3865i | 0.457420 | − | 1.07471i | ||||
\(397\) | −4.15862 | − | 0.827201i | −0.208715 | − | 0.0415160i | 0.0896253 | − | 0.995976i | \(-0.471433\pi\) |
−0.298340 | + | 0.954460i | \(0.596433\pi\) | |||||||
\(398\) | 28.6655 | − | 3.91093i | 1.43687 | − | 0.196037i | ||||
\(399\) | −33.8322 | − | 18.5010i | −1.69373 | − | 0.926211i | ||||
\(400\) | 11.1286 | − | 4.85652i | 0.556432 | − | 0.242826i | ||||
\(401\) | 7.89460 | − | 29.4631i | 0.394238 | − | 1.47132i | −0.428837 | − | 0.903382i | \(-0.641077\pi\) |
0.823075 | − | 0.567933i | \(-0.192257\pi\) | |||||||
\(402\) | −24.2047 | − | 29.7869i | −1.20722 | − | 1.48563i | ||||
\(403\) | 0.272298 | + | 0.238799i | 0.0135641 | + | 0.0118954i | ||||
\(404\) | 6.23070 | + | 6.97155i | 0.309989 | + | 0.346848i | ||||
\(405\) | 0.343947 | + | 12.6096i | 0.0170909 | + | 0.626577i | ||||
\(406\) | 14.3417 | − | 42.9104i | 0.711768 | − | 2.12961i | ||||
\(407\) | 13.1727 | − | 10.1078i | 0.652948 | − | 0.501025i | ||||
\(408\) | 4.80786 | − | 29.9675i | 0.238024 | − | 1.48361i | ||||
\(409\) | −22.9248 | − | 17.5908i | −1.13356 | − | 0.869811i | −0.140813 | − | 0.990036i | \(-0.544972\pi\) |
−0.992747 | + | 0.120226i | \(0.961638\pi\) | |||||||
\(410\) | 5.84804 | + | 8.66384i | 0.288814 | + | 0.427877i | ||||
\(411\) | 19.1356 | − | 9.99452i | 0.943887 | − | 0.492993i | ||||
\(412\) | −10.6341 | − | 25.0060i | −0.523904 | − | 1.23196i | ||||
\(413\) | −13.7849 | − | 20.6306i | −0.678313 | − | 1.01517i | ||||
\(414\) | −29.5883 | − | 15.1246i | −1.45419 | − | 0.743334i | ||||
\(415\) | 6.67596i | 0.327710i | ||||||||
\(416\) | −7.86581 | − | 11.1938i | −0.385653 | − | 0.548821i | ||||
\(417\) | −3.33883 | + | 13.7257i | −0.163503 | + | 0.672150i | ||||
\(418\) | 0.126690 | + | 26.9747i | 0.00619661 | + | 1.31938i | ||||
\(419\) | 15.9948 | − | 32.4343i | 0.781398 | − | 1.58452i | −0.0296652 | − | 0.999560i | \(-0.509444\pi\) |
0.811063 | − | 0.584959i | \(-0.198889\pi\) | |||||||
\(420\) | −21.8467 | − | 2.15506i | −1.06601 | − | 0.105156i | ||||
\(421\) | −21.3465 | − | 7.24615i | −1.04036 | − | 0.353156i | −0.251586 | − | 0.967835i | \(-0.580952\pi\) |
−0.788777 | + | 0.614679i | \(0.789286\pi\) | |||||||
\(422\) | 1.43115 | + | 20.3688i | 0.0696671 | + | 0.991537i | ||||
\(423\) | 21.5555 | + | 1.82666i | 1.04807 | + | 0.0888150i | ||||
\(424\) | 2.58794 | + | 12.1157i | 0.125681 | + | 0.588392i | ||||
\(425\) | −14.9200 | + | 11.4485i | −0.723724 | + | 0.555333i | ||||
\(426\) | 1.08848 | − | 28.9558i | 0.0527370 | − | 1.40291i | ||||
\(427\) | −1.23466 | + | 18.8373i | −0.0597494 | + | 0.911600i | ||||
\(428\) | 9.37521 | + | 18.5693i | 0.453168 | + | 0.897580i | ||||
\(429\) | 9.32576 | + | 13.2800i | 0.450252 | + | 0.641164i | ||||
\(430\) | −0.910289 | + | 1.19792i | −0.0438980 | + | 0.0577688i | ||||
\(431\) | 13.8387 | + | 13.8387i | 0.666585 | + | 0.666585i | 0.956924 | − | 0.290339i | \(-0.0937680\pi\) |
−0.290339 | + | 0.956924i | \(0.593768\pi\) | |||||||
\(432\) | −20.7792 | + | 0.475432i | −0.999738 | + | 0.0228742i | ||||
\(433\) | −12.8784 | + | 12.8784i | −0.618895 | + | 0.618895i | −0.945248 | − | 0.326353i | \(-0.894180\pi\) |
0.326353 | + | 0.945248i | \(0.394180\pi\) | |||||||
\(434\) | 0.129444 | + | 0.948770i | 0.00621351 | + | 0.0455424i | ||||
\(435\) | 14.0571 | − | 9.87150i | 0.673988 | − | 0.473302i | ||||
\(436\) | −11.6174 | + | 13.5009i | −0.556375 | + | 0.646576i | ||||
\(437\) | 38.4827 | + | 2.52229i | 1.84088 | + | 0.120657i | ||||
\(438\) | −12.5420 | + | 11.6332i | −0.599279 | + | 0.555856i | ||||
\(439\) | −18.6907 | − | 24.3582i | −0.892059 | − | 1.16255i | −0.985962 | − | 0.166972i | \(-0.946601\pi\) |
0.0939030 | − | 0.995581i | \(-0.470066\pi\) | |||||||
\(440\) | 6.07621 | + | 14.1039i | 0.289672 | + | 0.672375i | ||||
\(441\) | −33.0996 | − | 23.0423i | −1.57617 | − | 1.09725i | ||||
\(442\) | 15.9967 | + | 13.8964i | 0.760885 | + | 0.660982i | ||||
\(443\) | 6.62208 | − | 19.5080i | 0.314624 | − | 0.926853i | −0.668468 | − | 0.743741i | \(-0.733050\pi\) |
0.983092 | − | 0.183112i | \(-0.0586172\pi\) | |||||||
\(444\) | −13.0934 | − | 7.00112i | −0.621385 | − | 0.332258i | ||||
\(445\) | −4.34146 | − | 2.14097i | −0.205805 | − | 0.101492i | ||||
\(446\) | −1.42636 | + | 1.43982i | −0.0675400 | + | 0.0681774i | ||||
\(447\) | −4.34295 | − | 1.05644i | −0.205414 | − | 0.0499679i | ||||
\(448\) | 3.70902 | − | 35.9809i | 0.175235 | − | 1.69994i | ||||
\(449\) | 14.6180 | 0.689864 | 0.344932 | − | 0.938628i | \(-0.387902\pi\) | ||||
0.344932 | + | 0.938628i | \(0.387902\pi\) | |||||||
\(450\) | 9.55952 | + | 8.63002i | 0.450640 | + | 0.406823i | ||||
\(451\) | 16.9858 | − | 11.3496i | 0.799831 | − | 0.534430i | ||||
\(452\) | 24.9656 | + | 24.5009i | 1.17428 | + | 1.15243i | ||||
\(453\) | 6.56121 | + | 12.5621i | 0.308273 | + | 0.590220i | ||||
\(454\) | −0.972661 | + | 5.01282i | −0.0456492 | + | 0.235263i | ||||
\(455\) | 9.33019 | − | 12.1593i | 0.437406 | − | 0.570039i | ||||
\(456\) | 21.9262 | − | 10.0550i | 1.02679 | − | 0.470869i | ||||
\(457\) | 21.2974 | + | 27.7554i | 0.996252 | + | 1.29834i | 0.954182 | + | 0.299227i | \(0.0967287\pi\) |
0.0420704 | + | 0.999115i | \(0.486605\pi\) | |||||||
\(458\) | −16.4333 | − | 32.9326i | −0.767878 | − | 1.53884i | ||||
\(459\) | 31.0606 | − | 8.45897i | 1.44978 | − | 0.394831i | ||||
\(460\) | 20.7231 | − | 7.25232i | 0.966219 | − | 0.338141i | ||||
\(461\) | −1.62085 | + | 1.84823i | −0.0754906 | + | 0.0860806i | −0.788352 | − | 0.615224i | \(-0.789065\pi\) |
0.712862 | + | 0.701305i | \(0.247399\pi\) | |||||||
\(462\) | −4.41226 | + | 42.6762i | −0.205277 | + | 1.98548i | ||||
\(463\) | 30.0621 | + | 8.05511i | 1.39710 | + | 0.374353i | 0.877304 | − | 0.479936i | \(-0.159340\pi\) |
0.519800 | + | 0.854288i | \(0.326007\pi\) | |||||||
\(464\) | 16.1634 | + | 23.2332i | 0.750365 | + | 1.07857i | ||||
\(465\) | −0.174425 | + | 0.318966i | −0.00808877 | + | 0.0147917i | ||||
\(466\) | −1.19610 | + | 1.57404i | −0.0554083 | + | 0.0729160i | ||||
\(467\) | 0.798122 | − | 4.01243i | 0.0369327 | − | 0.185673i | −0.957915 | − | 0.287051i | \(-0.907325\pi\) |
0.994848 | + | 0.101378i | \(0.0323251\pi\) | |||||||
\(468\) | 7.37701 | − | 12.4959i | 0.341002 | − | 0.577625i | ||||
\(469\) | 58.9071 | + | 39.3605i | 2.72008 | + | 1.81750i | ||||
\(470\) | −10.7018 | + | 9.47448i | −0.493635 | + | 0.437025i | ||||
\(471\) | −8.88012 | − | 6.49258i | −0.409174 | − | 0.299162i | ||||
\(472\) | 15.5011 | + | 0.796836i | 0.713494 | + | 0.0366774i | ||||
\(473\) | 2.33279 | + | 1.79002i | 0.107262 | + | 0.0823050i | ||||
\(474\) | 0.300031 | − | 1.76400i | 0.0137809 | − | 0.0810233i | ||||
\(475\) | −14.1534 | − | 4.80442i | −0.649401 | − | 0.220442i | ||||
\(476\) | 7.83395 | + | 55.4732i | 0.359069 | + | 2.54261i | ||||
\(477\) | −10.5759 | + | 7.79900i | −0.484237 | + | 0.357092i | ||||
\(478\) | 9.89708 | + | 5.65227i | 0.452682 | + | 0.258529i | ||||
\(479\) | −6.37515 | − | 3.68070i | −0.291288 | − | 0.168175i | 0.347234 | − | 0.937778i | \(-0.387121\pi\) |
−0.638523 | + | 0.769603i | \(0.720454\pi\) | |||||||
\(480\) | 9.24697 | − | 10.1529i | 0.422065 | − | 0.463414i | ||||
\(481\) | 8.97725 | − | 5.18302i | 0.409327 | − | 0.236325i | ||||
\(482\) | −10.7399 | + | 0.0504411i | −0.489188 | + | 0.00229753i | ||||
\(483\) | 60.4205 | + | 10.5689i | 2.74923 | + | 0.480900i | ||||
\(484\) | 7.37424 | − | 3.13598i | 0.335193 | − | 0.142545i | ||||
\(485\) | 3.38625 | + | 17.0238i | 0.153762 | + | 0.773012i | ||||
\(486\) | −9.54620 | − | 19.8713i | −0.433024 | − | 0.901382i | ||||
\(487\) | 7.47462 | − | 3.09609i | 0.338707 | − | 0.140297i | −0.206845 | − | 0.978374i | \(-0.566320\pi\) |
0.545553 | + | 0.838076i | \(0.316320\pi\) | |||||||
\(488\) | −8.98738 | − | 7.66042i | −0.406839 | − | 0.346771i | ||||
\(489\) | 17.5705 | − | 7.75981i | 0.794565 | − | 0.350911i | ||||
\(490\) | 26.1101 | − | 5.32123i | 1.17954 | − | 0.240389i | ||||
\(491\) | −0.352333 | + | 5.37557i | −0.0159006 | + | 0.242596i | 0.982509 | + | 0.186216i | \(0.0596224\pi\) |
−0.998409 | + | 0.0563798i | \(0.982044\pi\) | |||||||
\(492\) | −15.5117 | − | 9.64905i | −0.699320 | − | 0.435013i | ||||
\(493\) | −32.9576 | − | 28.9030i | −1.48434 | − | 1.30173i | ||||
\(494\) | −2.11974 | + | 16.7070i | −0.0953715 | + | 0.751682i | ||||
\(495\) | −10.9717 | + | 12.0392i | −0.493139 | + | 0.541122i | ||||
\(496\) | −0.524292 | − | 0.289707i | −0.0235414 | − | 0.0130082i | ||||
\(497\) | 13.8433 | + | 51.6639i | 0.620957 | + | 2.31744i | ||||
\(498\) | −4.76358 | − | 10.6505i | −0.213461 | − | 0.477260i | ||||
\(499\) | 1.84480 | + | 5.43460i | 0.0825846 | + | 0.243286i | 0.980377 | − | 0.197133i | \(-0.0631631\pi\) |
−0.897792 | + | 0.440419i | \(0.854830\pi\) | |||||||
\(500\) | −22.4620 | + | 1.68427i | −1.00453 | + | 0.0753229i | ||||
\(501\) | 0.494089 | − | 0.453990i | 0.0220743 | − | 0.0202828i | ||||
\(502\) | 0.341152 | − | 5.60846i | 0.0152264 | − | 0.250318i | ||||
\(503\) | 8.12202 | − | 19.6083i | 0.362143 | − | 0.874291i | −0.632843 | − | 0.774280i | \(-0.718112\pi\) |
0.994986 | − | 0.100011i | \(-0.0318877\pi\) | |||||||
\(504\) | 36.3908 | − | 12.1504i | 1.62098 | − | 0.541224i | ||||
\(505\) | −2.50753 | − | 6.05372i | −0.111584 | − | 0.269387i | ||||
\(506\) | −13.9833 | − | 40.5666i | −0.621635 | − | 1.80341i | ||||
\(507\) | −5.73404 | − | 10.9784i | −0.254658 | − | 0.487569i | ||||
\(508\) | 24.6213 | + | 13.9084i | 1.09240 | + | 0.617087i | ||||
\(509\) | −7.70740 | − | 3.80087i | −0.341625 | − | 0.168471i | 0.263381 | − | 0.964692i | \(-0.415162\pi\) |
−0.605005 | + | 0.796221i | \(0.706829\pi\) | |||||||
\(510\) | −10.1173 | + | 18.7093i | −0.448001 | + | 0.828463i | ||||
\(511\) | 15.7882 | − | 27.3460i | 0.698429 | − | 1.20971i | ||||
\(512\) | 16.6618 | + | 15.3096i | 0.736355 | + | 0.676595i | ||||
\(513\) | 19.3047 | + | 16.7906i | 0.852324 | + | 0.741323i | ||||
\(514\) | −13.8508 | + | 3.78113i | −0.610935 | + | 0.166779i | ||||
\(515\) | 1.24546 | + | 19.0021i | 0.0548816 | + | 0.837332i | ||||
\(516\) | 0.597465 | − | 2.56063i | 0.0263019 | − | 0.112725i | ||||
\(517\) | 18.4182 | + | 21.0019i | 0.810031 | + | 0.923663i | ||||
\(518\) | 26.9050 | + | 5.22050i | 1.18214 | + | 0.229376i | ||||
\(519\) | 10.0898 | − | 8.12056i | 0.442893 | − | 0.356453i | ||||
\(520\) | 2.61170 | + | 9.22506i | 0.114530 | + | 0.404546i | ||||
\(521\) | 0.555320 | − | 1.34066i | 0.0243290 | − | 0.0587354i | −0.911248 | − | 0.411858i | \(-0.864880\pi\) |
0.935577 | + | 0.353122i | \(0.114880\pi\) | |||||||
\(522\) | −15.3823 | + | 25.7789i | −0.673267 | + | 1.12831i | ||||
\(523\) | −12.6473 | + | 18.9280i | −0.553028 | + | 0.827665i | −0.997683 | − | 0.0680374i | \(-0.978326\pi\) |
0.444655 | + | 0.895702i | \(0.353326\pi\) | |||||||
\(524\) | −5.71656 | − | 8.38387i | −0.249729 | − | 0.366251i | ||||
\(525\) | −21.5589 | − | 10.0173i | −0.940906 | − | 0.437191i | ||||
\(526\) | 3.40133 | − | 8.32187i | 0.148305 | − | 0.362851i | ||||
\(527\) | 0.896152 | + | 0.240123i | 0.0390370 | + | 0.0104599i | ||||
\(528\) | −19.7574 | − | 18.1650i | −0.859829 | − | 0.790529i | ||||
\(529\) | −37.0390 | + | 9.92457i | −1.61039 | + | 0.431503i | ||||
\(530\) | 1.09281 | − | 8.61312i | 0.0474687 | − | 0.374130i | ||||
\(531\) | 6.00865 | + | 15.3274i | 0.260753 | + | 0.665151i | ||||
\(532\) | −33.1990 | + | 29.6710i | −1.43936 | + | 1.28640i | ||||
\(533\) | 11.4386 | − | 5.64091i | 0.495463 | − | 0.244335i | ||||
\(534\) | 8.45382 | + | 0.317788i | 0.365833 | + | 0.0137520i | ||||
\(535\) | −1.90278 | − | 14.4530i | −0.0822643 | − | 0.624859i | ||||
\(536\) | −41.7621 | + | 14.8357i | −1.80385 | + | 0.640806i | ||||
\(537\) | 15.1433 | − | 39.0986i | 0.653480 | − | 1.68723i | ||||
\(538\) | −11.8770 | + | 24.3721i | −0.512055 | + | 1.05076i | ||||
\(539\) | −10.1599 | − | 51.0771i | −0.437617 | − | 2.20005i | ||||
\(540\) | 13.8546 | + | 4.49562i | 0.596208 | + | 0.193461i | ||||
\(541\) | −22.0082 | − | 32.9377i | −0.946208 | − | 1.41610i | −0.909001 | − | 0.416793i | \(-0.863154\pi\) |
−0.0372069 | − | 0.999308i | \(-0.511846\pi\) | |||||||
\(542\) | 18.6580 | + | 31.9689i | 0.801430 | + | 1.37318i | ||||
\(543\) | 15.6866 | + | 14.9757i | 0.673178 | + | 0.642671i | ||||
\(544\) | −30.7538 | − | 16.8055i | −1.31856 | − | 0.720531i | ||||
\(545\) | 10.8097 | − | 6.24100i | 0.463038 | − | 0.267335i | ||||
\(546\) | −6.20873 | + | 26.0559i | −0.265709 | + | 1.11509i | ||||
\(547\) | −2.43168 | + | 0.159381i | −0.103971 | + | 0.00681463i | −0.117300 | − | 0.993097i | \(-0.537424\pi\) |
0.0133288 | + | 0.999911i | \(0.495757\pi\) | |||||||
\(548\) | −3.48578 | − | 24.6832i | −0.148905 | − | 1.05442i | ||||
\(549\) | 3.47218 | − | 12.0346i | 0.148189 | − | 0.513623i | ||||
\(550\) | 1.16558 | + | 16.5892i | 0.0497007 | + | 0.707365i | ||||
\(551\) | 4.54746 | − | 34.5414i | 0.193728 | − | 1.47151i | ||||
\(552\) | −27.8857 | + | 26.3568i | −1.18690 | + | 1.12182i | ||||
\(553\) | 0.431113 | + | 3.27463i | 0.0183328 | + | 0.139251i | ||||
\(554\) | −1.28706 | − | 6.31532i | −0.0546819 | − | 0.268312i | ||||
\(555\) | 7.04007 | + | 7.66189i | 0.298834 | + | 0.325229i | ||||
\(556\) | 13.6468 | + | 8.93425i | 0.578754 | + | 0.378897i | ||||
\(557\) | −3.62169 | + | 18.2075i | −0.153456 | + | 0.771476i | 0.825018 | + | 0.565106i | \(0.191165\pi\) |
−0.978474 | + | 0.206369i | \(0.933835\pi\) | |||||||
\(558\) | 0.0506742 | − | 0.633321i | 0.00214521 | − | 0.0268106i | ||||
\(559\) | 1.29807 | + | 1.29807i | 0.0549025 | + | 0.0549025i | ||||
\(560\) | −10.7824 | + | 22.9413i | −0.455641 | + | 0.969445i | ||||
\(561\) | 36.4717 | + | 19.9444i | 1.53983 | + | 0.842053i | ||||
\(562\) | −31.9365 | − | 13.0531i | −1.34716 | − | 0.550613i | ||||
\(563\) | 9.46658 | + | 27.8876i | 0.398969 | + | 1.17532i | 0.942000 | + | 0.335612i | \(0.108943\pi\) |
−0.543032 | + | 0.839712i | \(0.682724\pi\) | |||||||
\(564\) | 10.3126 | − | 22.7513i | 0.434240 | − | 0.958001i | ||||
\(565\) | −10.8421 | − | 21.9855i | −0.456129 | − | 0.924939i | ||||
\(566\) | −15.0741 | − | 30.2087i | −0.633610 | − | 1.26977i | ||||
\(567\) | 27.6550 | + | 29.8516i | 1.16140 | + | 1.25365i | ||||
\(568\) | −31.0893 | − | 12.3674i | −1.30448 | − | 0.518923i | ||||
\(569\) | −19.7045 | − | 2.59415i | −0.826056 | − | 0.108752i | −0.294367 | − | 0.955692i | \(-0.595109\pi\) |
−0.531688 | + | 0.846940i | \(0.678442\pi\) | |||||||
\(570\) | −16.8309 | + | 1.57534i | −0.704969 | + | 0.0659838i | ||||
\(571\) | 4.45736 | + | 5.08265i | 0.186535 | + | 0.212702i | 0.837547 | − | 0.546365i | \(-0.183989\pi\) |
−0.651012 | + | 0.759067i | \(0.725655\pi\) | |||||||
\(572\) | 18.0529 | − | 5.01948i | 0.754831 | − | 0.209875i | ||||
\(573\) | 8.86063 | + | 7.41439i | 0.370158 | + | 0.309741i | ||||
\(574\) | 32.6118 | + | 8.57436i | 1.36119 | + | 0.357887i | ||||
\(575\) | 23.7754 | 0.991504 | ||||||||
\(576\) | −7.50766 | + | 22.7955i | −0.312819 | + | 0.949813i | ||||
\(577\) | −13.8066 | −0.574775 | −0.287387 | − | 0.957814i | \(-0.592787\pi\) | ||||
−0.287387 | + | 0.957814i | \(0.592787\pi\) | |||||||
\(578\) | 29.2448 | + | 7.68910i | 1.21642 | + | 0.319824i | ||||
\(579\) | −11.1655 | + | 4.08115i | −0.464021 | + | 0.169607i | ||||
\(580\) | −5.31323 | − | 19.1094i | −0.220620 | − | 0.793475i | ||||
\(581\) | 14.1998 | + | 16.1918i | 0.589108 | + | 0.671749i | ||||
\(582\) | −17.5495 | − | 24.7427i | −0.727448 | − | 1.02562i | ||||
\(583\) | −16.8230 | − | 2.21479i | −0.696737 | − | 0.0917272i | ||||
\(584\) | 7.81547 | + | 18.1410i | 0.323407 | + | 0.750679i | ||||
\(585\) | −7.77222 | + | 6.55787i | −0.321342 | + | 0.271134i | ||||
\(586\) | −8.07243 | − | 16.1773i | −0.333469 | − | 0.668277i | ||||
\(587\) | 4.64181 | + | 9.41267i | 0.191588 | + | 0.388502i | 0.971378 | − | 0.237539i | \(-0.0763408\pi\) |
−0.779790 | + | 0.626041i | \(0.784674\pi\) | |||||||
\(588\) | −37.8579 | + | 27.1199i | −1.56123 | + | 1.11841i | ||||
\(589\) | 0.237016 | + | 0.698227i | 0.00976607 | + | 0.0287699i | ||||
\(590\) | −10.0688 | − | 4.11536i | −0.414528 | − | 0.169427i | ||||
\(591\) | 0.483757 | + | 20.8659i | 0.0198991 | + | 0.858310i | ||||
\(592\) | −12.6754 | + | 11.5444i | −0.520954 | + | 0.474470i | ||||
\(593\) | 11.8263 | + | 11.8263i | 0.485649 | + | 0.485649i | 0.906930 | − | 0.421281i | \(-0.138419\pi\) |
−0.421281 | + | 0.906930i | \(0.638419\pi\) | |||||||
\(594\) | 8.91316 | − | 27.0355i | 0.365712 | − | 1.10928i | ||||
\(595\) | 7.65945 | − | 38.5066i | 0.314007 | − | 1.57862i | ||||
\(596\) | −2.82689 | + | 4.31799i | −0.115794 | + | 0.176872i | ||||
\(597\) | 34.5827 | − | 7.71628i | 1.41538 | − | 0.315806i | ||||
\(598\) | −5.34956 | − | 26.2492i | −0.218760 | − | 1.07341i | ||||
\(599\) | 2.15789 | + | 16.3908i | 0.0881692 | + | 0.669711i | 0.977270 | + | 0.212000i | \(0.0679975\pi\) |
−0.889101 | + | 0.457712i | \(0.848669\pi\) | |||||||
\(600\) | 13.0831 | − | 7.06971i | 0.534116 | − | 0.288620i | ||||
\(601\) | −3.27537 | + | 24.8789i | −0.133605 | + | 1.01483i | 0.784956 | + | 0.619552i | \(0.212686\pi\) |
−0.918561 | + | 0.395279i | \(0.870648\pi\) | |||||||
\(602\) | 0.340180 | + | 4.84161i | 0.0138647 | + | 0.197329i | ||||
\(603\) | −32.5987 | − | 33.8677i | −1.32752 | − | 1.37920i | ||||
\(604\) | 16.2041 | − | 2.28835i | 0.659334 | − | 0.0931116i | ||||
\(605\) | −5.60369 | + | 0.367285i | −0.227823 | + | 0.0149323i | ||||
\(606\) | 8.31997 | + | 7.86857i | 0.337976 | + | 0.319639i | ||||
\(607\) | −22.3011 | + | 12.8755i | −0.905173 | + | 0.522602i | −0.878875 | − | 0.477052i | \(-0.841705\pi\) |
−0.0262980 | + | 0.999654i | \(0.508372\pi\) | |||||||
\(608\) | −2.47382 | − | 27.7434i | −0.100327 | − | 1.12514i | ||||
\(609\) | 13.0973 | − | 53.8419i | 0.530728 | − | 2.18178i | ||||
\(610\) | 4.17150 | + | 7.14751i | 0.168899 | + | 0.289394i | ||||
\(611\) | 9.68893 | + | 14.5005i | 0.391972 | + | 0.586628i | ||||
\(612\) | 2.79072 | − | 37.0670i | 0.112808 | − | 1.49835i | ||||
\(613\) | −7.92580 | − | 39.8457i | −0.320120 | − | 1.60935i | −0.720806 | − | 0.693137i | \(-0.756228\pi\) |
0.400685 | − | 0.916216i | \(-0.368772\pi\) | |||||||
\(614\) | −7.15110 | + | 14.6743i | −0.288595 | + | 0.592208i | ||||
\(615\) | 8.02671 | + | 9.97319i | 0.323668 | + | 0.402158i | ||||
\(616\) | 44.7362 | + | 21.2832i | 1.80247 | + | 0.857525i | ||||
\(617\) | 0.896334 | + | 6.80833i | 0.0360851 | + | 0.274093i | 0.999970 | + | 0.00777343i | \(0.00247439\pi\) |
−0.963885 | + | 0.266320i | \(0.914192\pi\) | |||||||
\(618\) | −15.5457 | − | 29.4263i | −0.625341 | − | 1.18370i | ||||
\(619\) | −27.1942 | + | 13.4107i | −1.09303 | + | 0.539021i | −0.897203 | − | 0.441619i | \(-0.854404\pi\) |
−0.195823 | + | 0.980639i | \(0.562738\pi\) | |||||||
\(620\) | 0.279734 | + | 0.312996i | 0.0112344 | + | 0.0125702i | ||||
\(621\) | −37.6635 | − | 15.4206i | −1.51138 | − | 0.618806i | ||||
\(622\) | −0.731920 | + | 5.76872i | −0.0293473 | + | 0.231305i | ||||
\(623\) | −15.0836 | + | 4.04164i | −0.604311 | + | 0.161925i | ||||
\(624\) | −10.7490 | − | 12.8537i | −0.430306 | − | 0.514558i | ||||
\(625\) | 0.587020 | + | 0.157292i | 0.0234808 | + | 0.00629166i | ||||
\(626\) | −8.36589 | + | 20.4684i | −0.334368 | + | 0.818083i | ||||
\(627\) | 2.92428 | + | 32.9079i | 0.116784 | + | 1.31421i | ||||
\(628\) | −10.4948 | + | 7.15588i | −0.418787 | + | 0.285551i | ||||
\(629\) | 14.7526 | − | 22.0789i | 0.588226 | − | 0.880343i | ||||
\(630\) | −26.8837 | − | 0.386975i | −1.07107 | − | 0.0154175i | ||||
\(631\) | −9.60750 | + | 23.1946i | −0.382469 | + | 0.923361i | 0.609019 | + | 0.793156i | \(0.291564\pi\) |
−0.991487 | + | 0.130205i | \(0.958436\pi\) | |||||||
\(632\) | −1.80371 | − | 1.00776i | −0.0717479 | − | 0.0400866i | ||||
\(633\) | 3.83801 | + | 24.7118i | 0.152547 | + | 0.982206i | ||||
\(634\) | 20.3785 | + | 3.95412i | 0.809332 | + | 0.157038i | ||||
\(635\) | −13.0664 | − | 14.8994i | −0.518524 | − | 0.591263i | ||||
\(636\) | 4.40240 | + | 14.5207i | 0.174567 | + | 0.575784i | ||||
\(637\) | −2.12645 | − | 32.4433i | −0.0842528 | − | 1.28545i | ||||
\(638\) | −37.3952 | + | 10.2085i | −1.48049 | + | 0.404158i | ||||
\(639\) | −1.64465 | − | 35.4504i | −0.0650615 | − | 1.40240i | ||||
\(640\) | −7.47714 | − | 13.9837i | −0.295560 | − | 0.552752i | ||||
\(641\) | 4.93155 | − | 8.54169i | 0.194784 | − | 0.337377i | −0.752045 | − | 0.659111i | \(-0.770933\pi\) |
0.946830 | + | 0.321735i | \(0.104266\pi\) | |||||||
\(642\) | 13.3484 | + | 21.7000i | 0.526821 | + | 0.856429i | ||||
\(643\) | −28.6792 | − | 14.1430i | −1.13100 | − | 0.557745i | −0.222206 | − | 0.975000i | \(-0.571326\pi\) |
−0.908790 | + | 0.417254i | \(0.862992\pi\) | |||||||
\(644\) | 34.8358 | − | 61.6679i | 1.37272 | − | 2.43005i | ||||
\(645\) | −0.987949 | + | 1.55545i | −0.0389005 | + | 0.0612456i | ||||
\(646\) | 14.0587 | + | 40.7853i | 0.553133 | + | 1.60468i | ||||
\(647\) | 15.7055 | + | 37.9163i | 0.617446 | + | 1.49065i | 0.854660 | + | 0.519188i | \(0.173766\pi\) |
−0.237214 | + | 0.971457i | \(0.576234\pi\) | |||||||
\(648\) | −25.3108 | + | 2.71376i | −0.994301 | + | 0.106606i | ||||
\(649\) | −8.13526 | + | 19.6402i | −0.319337 | + | 0.770947i | ||||
\(650\) | −0.630376 | + | 10.3632i | −0.0247254 | + | 0.406480i | ||||
\(651\) | 0.255394 | + | 1.14462i | 0.0100097 | + | 0.0448612i | ||||
\(652\) | −1.65841 | − | 22.1171i | −0.0649482 | − | 0.866172i | ||||
\(653\) | −2.13610 | − | 6.29274i | −0.0835919 | − | 0.246254i | 0.897095 | − | 0.441837i | \(-0.145673\pi\) |
−0.980687 | + | 0.195584i | \(0.937340\pi\) | |||||||
\(654\) | −12.7921 | + | 17.6698i | −0.500211 | + | 0.690943i | ||||
\(655\) | 1.84051 | + | 6.86889i | 0.0719148 | + | 0.268390i | ||||
\(656\) | −16.4908 | + | 13.1533i | −0.643857 | + | 0.513550i | ||||
\(657\) | −14.1122 | + | 15.4853i | −0.550569 | + | 0.604139i | ||||
\(658\) | −5.80363 | + | 45.7420i | −0.226249 | + | 1.78321i | ||||
\(659\) | −32.7667 | − | 28.7356i | −1.27641 | − | 1.11938i | −0.986749 | − | 0.162252i | \(-0.948124\pi\) |
−0.289661 | − | 0.957129i | \(-0.593543\pi\) | |||||||
\(660\) | 8.86374 | + | 16.5889i | 0.345021 | + | 0.645724i | ||||
\(661\) | −1.15549 | + | 17.6294i | −0.0449435 | + | 0.685705i | 0.914638 | + | 0.404274i | \(0.132476\pi\) |
−0.959581 | + | 0.281431i | \(0.909191\pi\) | |||||||
\(662\) | 15.3322 | − | 3.12469i | 0.595903 | − | 0.121445i | ||||
\(663\) | 20.9497 | + | 15.3171i | 0.813620 | + | 0.594867i | ||||
\(664\) | −13.4296 | + | 1.07044i | −0.521169 | + | 0.0415412i | ||||
\(665\) | 28.8282 | − | 11.9410i | 1.11791 | − | 0.463054i | ||||
\(666\) | −16.6985 | − | 7.20002i | −0.647052 | − | 0.278995i | ||||
\(667\) | 10.8117 | + | 54.3540i | 0.418630 | + | 2.10460i | ||||
\(668\) | −0.303212 | − | 0.713001i | −0.0117316 | − | 0.0275868i | ||||
\(669\) | −1.59294 | + | 1.90366i | −0.0615866 | + | 0.0735996i | ||||
\(670\) | 31.0582 | − | 0.145868i | 1.19988 | − | 0.00563538i | ||||
\(671\) | 14.0070 | − | 8.08694i | 0.540734 | − | 0.312193i | ||||
\(672\) | 0.832232 | − | 44.2931i | 0.0321041 | − | 1.70864i | ||||
\(673\) | 35.0637 | + | 20.2440i | 1.35160 | + | 0.780349i | 0.988474 | − | 0.151389i | \(-0.0483746\pi\) |
0.363130 | + | 0.931738i | \(0.381708\pi\) | |||||||
\(674\) | 18.1636 | + | 10.3733i | 0.699635 | + | 0.399565i | ||||
\(675\) | 12.5529 | + | 9.55083i | 0.483160 | + | 0.367612i | ||||
\(676\) | −14.1612 | + | 1.99986i | −0.544663 | + | 0.0769176i | ||||
\(677\) | 1.36311 | + | 0.462714i | 0.0523887 | + | 0.0177836i | 0.347511 | − | 0.937676i | \(-0.387027\pi\) |
−0.295122 | + | 0.955460i | \(0.595360\pi\) | |||||||
\(678\) | 32.9845 | + | 27.3384i | 1.26676 | + | 1.04992i | ||||
\(679\) | 44.4228 | + | 34.0868i | 1.70479 | + | 1.30813i | ||||
\(680\) | 16.4521 | + | 18.2353i | 0.630911 | + | 0.699290i | ||||
\(681\) | −0.672370 | + | 6.21769i | −0.0257653 | + | 0.238262i | ||||
\(682\) | 0.614270 | − | 0.543825i | 0.0235216 | − | 0.0208241i | ||||
\(683\) | −9.30311 | − | 6.21614i | −0.355974 | − | 0.237854i | 0.364705 | − | 0.931123i | \(-0.381170\pi\) |
−0.720679 | + | 0.693269i | \(0.756170\pi\) | |||||||
\(684\) | 25.7271 | − | 14.5228i | 0.983700 | − | 0.555292i | ||||
\(685\) | −3.40814 | + | 17.1339i | −0.130218 | + | 0.654651i | ||||
\(686\) | 24.9279 | − | 32.8045i | 0.951750 | − | 1.25248i | ||||
\(687\) | −23.4372 | − | 38.5048i | −0.894183 | − | 1.46905i | ||||
\(688\) | −2.55573 | − | 1.63909i | −0.0974364 | − | 0.0624897i | ||||
\(689\) | −10.2325 | − | 2.74179i | −0.389827 | − | 0.104454i | ||||
\(690\) | 24.5465 | − | 10.9787i | 0.934469 | − | 0.417954i | ||||
\(691\) | 10.5438 | − | 12.0229i | 0.401106 | − | 0.457373i | −0.515663 | − | 0.856791i | \(-0.672454\pi\) |
0.916769 | + | 0.399418i | \(0.130788\pi\) | |||||||
\(692\) | −4.94006 | − | 14.1159i | −0.187793 | − | 0.536606i | ||||
\(693\) | −1.00304 | + | 52.5365i | −0.0381025 | + | 1.99570i | ||||
\(694\) | 6.77235 | + | 13.5719i | 0.257075 | + | 0.515182i | ||||
\(695\) | −6.95865 | − | 9.06869i | −0.263957 | − | 0.343995i | ||||
\(696\) | 22.1118 | + | 26.6950i | 0.838146 | + | 1.01187i | ||||
\(697\) | 19.8888 | − | 25.9196i | 0.753343 | − | 0.981776i | ||||
\(698\) | 0.00808348 | − | 0.0416600i | 0.000305964 | − | 0.00157686i | ||||
\(699\) | −1.29815 | + | 2.04382i | −0.0491004 | + | 0.0773045i | ||||
\(700\) | −19.2270 | + | 19.5916i | −0.726711 | + | 0.740493i | ||||
\(701\) | −11.4618 | + | 7.65852i | −0.432905 | + | 0.289258i | −0.752867 | − | 0.658172i | \(-0.771330\pi\) |
0.319962 | + | 0.947430i | \(0.396330\pi\) | |||||||
\(702\) | 7.72011 | − | 16.0079i | 0.291377 | − | 0.604179i | ||||
\(703\) | 21.1043 | 0.795965 | ||||||||
\(704\) | −27.3975 | + | 14.4846i | −1.03258 | + | 0.545907i | ||||
\(705\) | −12.0880 | + | 12.6618i | −0.455260 | + | 0.476870i | ||||
\(706\) | −27.8775 | + | 28.1406i | −1.04918 | + | 1.05908i | ||||
\(707\) | −18.9580 | − | 9.34908i | −0.712991 | − | 0.351608i | ||||
\(708\) | 18.9998 | − | 0.619102i | 0.714057 | − | 0.0232673i | ||||
\(709\) | −2.20388 | + | 6.49242i | −0.0827685 | + | 0.243828i | −0.980434 | − | 0.196850i | \(-0.936929\pi\) |
0.897665 | + | 0.440678i | \(0.145262\pi\) | |||||||
\(710\) | 17.7014 | + | 15.3773i | 0.664323 | + | 0.577098i | ||||
\(711\) | 0.185047 | − | 2.18365i | 0.00693980 | − | 0.0818934i | ||||
\(712\) | 3.61073 | − | 9.07672i | 0.135318 | − | 0.340164i | ||||
\(713\) | −0.714023 | − | 0.930534i | −0.0267404 | − | 0.0348488i | ||||
\(714\) | 15.2566 | + | 66.8969i | 0.570963 | + | 2.50355i | ||||
\(715\) | −13.1032 | − | 0.858830i | −0.490033 | − | 0.0321184i | ||||
\(716\) | −36.6986 | − | 31.5790i | −1.37149 | − | 1.18016i | ||||
\(717\) | 12.6591 | + | 5.88203i | 0.472762 | + | 0.219668i | ||||
\(718\) | −0.778993 | − | 5.70969i | −0.0290718 | − | 0.213084i | ||||
\(719\) | 30.3132 | − | 30.3132i | 1.13049 | − | 1.13049i | 0.140395 | − | 0.990096i | \(-0.455163\pi\) |
0.990096 | − | 0.140395i | \(-0.0448371\pi\) | |||||||
\(720\) | 10.2429 | − | 13.3404i | 0.381729 | − | 0.497166i | ||||
\(721\) | 43.4383 | + | 43.4383i | 1.61773 | + | 1.61773i | ||||
\(722\) | −4.48722 | + | 5.90508i | −0.166997 | + | 0.219764i | ||||
\(723\) | −13.1021 | + | 1.16429i | −0.487274 | + | 0.0433004i | ||||
\(724\) | 22.3549 | − | 11.2865i | 0.830812 | − | 0.419458i | ||||
\(725\) | 1.40476 | − | 21.4325i | 0.0521714 | − | 0.795982i | ||||
\(726\) | 8.67778 | − | 4.58442i | 0.322063 | − | 0.170144i | ||||
\(727\) | 23.4117 | − | 17.9644i | 0.868293 | − | 0.666264i | −0.0753765 | − | 0.997155i | \(-0.524016\pi\) |
0.943669 | + | 0.330891i | \(0.107349\pi\) | |||||||
\(728\) | 25.9562 | + | 16.8193i | 0.962000 | + | 0.623363i | ||||
\(729\) | −13.6908 | − | 23.2715i | −0.507067 | − | 0.861907i | ||||
\(730\) | −0.970221 | − | 13.8087i | −0.0359095 | − | 0.511082i | ||||
\(731\) | 4.45297 | + | 1.51158i | 0.164699 | + | 0.0559077i | ||||
\(732\) | −11.7550 | − | 8.42624i | −0.434479 | − | 0.311443i | ||||
\(733\) | 3.47794 | − | 7.05256i | 0.128461 | − | 0.260492i | −0.823135 | − | 0.567846i | \(-0.807777\pi\) |
0.951595 | + | 0.307354i | \(0.0994435\pi\) | |||||||
\(734\) | 0.195736 | + | 41.6760i | 0.00722475 | + | 1.53829i | ||||
\(735\) | 31.3193 | − | 9.17509i | 1.15523 | − | 0.338428i | ||||
\(736\) | 17.9118 | + | 40.5244i | 0.660238 | + | 1.49375i | ||||
\(737\) | − | 60.6997i | − | 2.23590i | ||||||
\(738\) | −19.9217 | − | 10.1833i | −0.733328 | − | 0.374854i | ||||
\(739\) | −21.4338 | − | 32.0779i | −0.788454 | − | 1.18000i | −0.980093 | − | 0.198539i | \(-0.936380\pi\) |
0.191639 | − | 0.981465i | \(-0.438620\pi\) | |||||||
\(740\) | 11.0566 | − | 4.70194i | 0.406448 | − | 0.172847i | ||||
\(741\) | −0.871592 | + | 20.6074i | −0.0320187 | + | 0.757031i | ||||
\(742\) | −15.6697 | − | 23.2146i | −0.575253 | − | 0.852234i | ||||
\(743\) | 33.7222 | + | 25.8759i | 1.23715 | + | 0.949296i | 0.999755 | − | 0.0221187i | \(-0.00704117\pi\) |
0.237391 | + | 0.971414i | \(0.423708\pi\) | |||||||
\(744\) | −0.669610 | − | 0.299736i | −0.0245491 | − | 0.0109888i | ||||
\(745\) | 2.86943 | − | 2.20179i | 0.105128 | − | 0.0806673i | ||||
\(746\) | −10.8217 | + | 32.3784i | −0.396209 | + | 1.18546i | ||||
\(747\) | −6.90718 | − | 12.5091i | −0.252720 | − | 0.457685i | ||||
\(748\) | 35.7890 | − | 31.9858i | 1.30858 | − | 1.16952i | ||||
\(749\) | −35.3567 | − | 31.0070i | −1.29191 | − | 1.13297i | ||||
\(750\) | −27.2405 | + | 4.36185i | −0.994681 | + | 0.159272i | ||||
\(751\) | 9.37729 | − | 34.9965i | 0.342182 | − | 1.27704i | −0.553688 | − | 0.832725i | \(-0.686780\pi\) |
0.895870 | − | 0.444317i | \(-0.146554\pi\) | |||||||
\(752\) | −20.7751 | − | 20.0089i | −0.757591 | − | 0.729648i | ||||
\(753\) | −0.159501 | − | 6.87978i | −0.00581255 | − | 0.250713i | ||||
\(754\) | −23.9785 | + | 3.27147i | −0.873245 | + | 0.119140i | ||||
\(755\) | −11.2480 | − | 2.23738i | −0.409358 | − | 0.0814264i | ||||
\(756\) | 43.1650 | − | 18.5653i | 1.56990 | − | 0.675212i | ||||
\(757\) | −16.4032 | + | 24.5492i | −0.596186 | + | 0.892255i | −0.999742 | − | 0.0226997i | \(-0.992774\pi\) |
0.403557 | + | 0.914955i | \(0.367774\pi\) | |||||||
\(758\) | 0.647256 | − | 10.6407i | 0.0235094 | − | 0.386489i | ||||
\(759\) | −21.2310 | − | 48.0731i | −0.770635 | − | 1.74494i | ||||
\(760\) | −4.78589 | + | 18.9238i | −0.173603 | + | 0.686438i | ||||
\(761\) | −21.0139 | + | 27.3858i | −0.761753 | + | 0.992735i | 0.238017 | + | 0.971261i | \(0.423503\pi\) |
−0.999769 | + | 0.0214743i | \(0.993164\pi\) | |||||||
\(762\) | 31.4768 | + | 14.4463i | 1.14028 | + | 0.523334i | ||||
\(763\) | 12.9431 | − | 38.1293i | 0.468573 | − | 1.38037i | ||||
\(764\) | 11.4904 | − | 6.77866i | 0.415707 | − | 0.245243i | ||||
\(765\) | −10.4265 | + | 23.8723i | −0.376970 | + | 0.863105i | ||||
\(766\) | 21.3768 | − | 5.83563i | 0.772374 | − | 0.210850i | ||||
\(767\) | −6.63598 | + | 11.4938i | −0.239611 | + | 0.415019i | ||||
\(768\) | 21.9066 | + | 16.9736i | 0.790485 | + | 0.612481i | ||||
\(769\) | −2.24158 | − | 3.88253i | −0.0808334 | − | 0.140008i | 0.822775 | − | 0.568368i | \(-0.192425\pi\) |
−0.903608 | + | 0.428360i | \(0.859092\pi\) | |||||||
\(770\) | −24.6644 | − | 24.4338i | −0.888843 | − | 0.880532i | ||||
\(771\) | −16.5158 | + | 6.03677i | −0.594802 | + | 0.217409i | ||||
\(772\) | 0.128938 | + | 13.7264i | 0.00464060 | + | 0.494025i | ||||
\(773\) | 42.7651 | − | 8.50651i | 1.53815 | − | 0.305958i | 0.648008 | − | 0.761634i | \(-0.275602\pi\) |
0.890146 | + | 0.455676i | \(0.150602\pi\) | |||||||
\(774\) | 0.466251 | − | 3.18642i | 0.0167590 | − | 0.114534i | ||||
\(775\) | 0.173960 | + | 0.419977i | 0.00624884 | + | 0.0150860i | ||||
\(776\) | −33.7027 | + | 9.54154i | −1.20986 | + | 0.342521i | ||||
\(777\) | 33.3718 | + | 3.60877i | 1.19721 | + | 0.129464i | ||||
\(778\) | 30.0633 | + | 19.8841i | 1.07782 | + | 0.712878i | ||||
\(779\) | 25.9103 | + | 1.69825i | 0.928332 | + | 0.0608461i | ||||
\(780\) | 4.13459 | + | 10.9904i | 0.148042 | + | 0.393520i | ||||
\(781\) | 30.2150 | − | 34.4536i | 1.08118 | − | 1.23285i | ||||
\(782\) | −42.0304 | − | 54.2456i | −1.50300 | − | 1.93982i | ||||
\(783\) | −16.1262 | + | 33.0408i | −0.576305 | + | 1.18078i | ||||
\(784\) | 14.8909 | + | 51.6708i | 0.531819 | + | 1.84539i | ||||
\(785\) | 8.59835 | − | 2.30392i | 0.306888 | − | 0.0822304i | ||||
\(786\) | −7.83750 | − | 9.64501i | −0.279554 | − | 0.344026i | ||||
\(787\) | −11.7891 | + | 4.00185i | −0.420235 | + | 0.142651i | −0.523544 | − | 0.851999i | \(-0.675390\pi\) |
0.103309 | + | 0.994649i | \(0.467057\pi\) | |||||||
\(788\) | 22.8931 | + | 7.53211i | 0.815535 | + | 0.268320i | ||||
\(789\) | 3.29664 | − | 10.5055i | 0.117363 | − | 0.374006i | ||||
\(790\) | 0.959799 | + | 1.08413i | 0.0341481 | + | 0.0385715i | ||||
\(791\) | −73.0597 | − | 30.2623i | −2.59770 | − | 1.07600i | ||||
\(792\) | −25.9777 | − | 20.1405i | −0.923076 | − | 0.715663i | ||||
\(793\) | 9.32895 | − | 3.86418i | 0.331281 | − | 0.137221i | ||||
\(794\) | −2.62685 | + | 5.39040i | −0.0932234 | + | 0.191298i | ||||
\(795\) | 0.449341 | − | 10.6239i | 0.0159365 | − | 0.376793i | ||||
\(796\) | 4.95917 | − | 40.6130i | 0.175773 | − | 1.43949i | ||||
\(797\) | 1.92980 | − | 3.91325i | 0.0683571 | − | 0.138615i | −0.860012 | − | 0.510273i | \(-0.829544\pi\) |
0.928369 | + | 0.371659i | \(0.121211\pi\) | |||||||
\(798\) | −37.4707 | + | 39.6203i | −1.32645 | + | 1.40254i | ||||
\(799\) | 38.6889 | + | 22.3370i | 1.36871 | + | 0.790227i | ||||
\(800\) | −2.64048 | − | 16.9674i | −0.0933552 | − | 0.599889i | ||||
\(801\) | 10.3500 | − | 0.480166i | 0.365698 | − | 0.0169658i | ||||
\(802\) | −37.4586 | − | 21.3928i | −1.32271 | − | 0.755405i | ||||
\(803\) | −26.9958 | + | 1.76940i | −0.952663 | + | 0.0624408i | ||||
\(804\) | −49.4446 | + | 22.3940i | −1.74378 | + | 0.789775i | ||||
\(805\) | −37.3177 | + | 32.7267i | −1.31528 | + | 1.15347i | ||||
\(806\) | 0.424532 | − | 0.286557i | 0.0149535 | − | 0.0100935i | ||||
\(807\) | −11.9927 | + | 30.9641i | −0.422163 | + | 1.08999i | ||||
\(808\) | 11.7758 | − | 6.01491i | 0.414271 | − | 0.211604i | ||||
\(809\) | −18.0256 | − | 7.46643i | −0.633745 | − | 0.262506i | 0.0425985 | − | 0.999092i | \(-0.486436\pi\) |
−0.676343 | + | 0.736587i | \(0.736436\pi\) | |||||||
\(810\) | 17.3702 | + | 4.06406i | 0.610328 | + | 0.142797i | ||||
\(811\) | −31.9288 | − | 21.3341i | −1.12117 | − | 0.749142i | −0.150275 | − | 0.988644i | \(-0.548016\pi\) |
−0.970896 | + | 0.239502i | \(0.923016\pi\) | |||||||
\(812\) | −53.5325 | − | 35.0465i | −1.87862 | − | 1.22989i | ||||
\(813\) | 26.0533 | + | 37.1002i | 0.913729 | + | 1.30116i | ||||
\(814\) | −9.08774 | − | 21.6516i | −0.318525 | − | 0.758887i | ||||
\(815\) | −4.02284 | + | 15.0134i | −0.140914 | + | 0.525898i | ||||
\(816\) | −39.2585 | − | 17.3523i | −1.37432 | − | 0.607454i | ||||
\(817\) | 0.967316 | + | 3.61007i | 0.0338421 | + | 0.126300i | ||||
\(818\) | −32.3034 | + | 25.0292i | −1.12946 | + | 0.875125i | ||||
\(819\) | −4.90203 | + | 32.4370i | −0.171291 | + | 1.13344i | ||||
\(820\) | 13.9528 | − | 4.88296i | 0.487252 | − | 0.170521i | ||||
\(821\) | −16.9788 | − | 34.4295i | −0.592563 | − | 1.20160i | −0.962180 | − | 0.272415i | \(-0.912178\pi\) |
0.369617 | − | 0.929184i | \(-0.379489\pi\) | |||||||
\(822\) | −6.78854 | − | 29.7663i | −0.236778 | − | 1.03822i | ||||
\(823\) | −19.7620 | + | 2.60172i | −0.688861 | + | 0.0906903i | −0.466827 | − | 0.884349i | \(-0.654603\pi\) |
−0.222034 | + | 0.975039i | \(0.571270\pi\) | |||||||
\(824\) | −38.0255 | + | 5.55226i | −1.32468 | + | 0.193422i | ||||
\(825\) | 3.12583 | + | 20.1263i | 0.108827 | + | 0.700708i | ||||
\(826\) | −33.1743 | + | 11.4352i | −1.15428 | + | 0.397881i | ||||
\(827\) | −20.8431 | + | 4.14594i | −0.724784 | + | 0.144169i | −0.543677 | − | 0.839295i | \(-0.682968\pi\) |
−0.181108 | + | 0.983463i | \(0.557968\pi\) | |||||||
\(828\) | −31.3265 | + | 35.0299i | −1.08867 | + | 1.21737i | ||||
\(829\) | −5.10075 | + | 3.40821i | −0.177156 | + | 0.118372i | −0.640987 | − | 0.767552i | \(-0.721475\pi\) |
0.463830 | + | 0.885924i | \(0.346475\pi\) | |||||||
\(830\) | 9.13091 | + | 2.40071i | 0.316939 | + | 0.0833300i | ||||
\(831\) | −2.21920 | − | 7.57528i | −0.0769833 | − | 0.262784i | ||||
\(832\) | −18.1387 | + | 6.73295i | −0.628846 | + | 0.233423i | ||||
\(833\) | −41.6432 | − | 72.1281i | −1.44285 | − | 2.49909i | ||||
\(834\) | 17.5724 | + | 9.50245i | 0.608481 | + | 0.329043i | ||||
\(835\) | 0.0355121 | + | 0.541810i | 0.00122895 | + | 0.0187501i | ||||
\(836\) | 36.9397 | + | 9.52699i | 1.27759 | + | 0.329498i | ||||
\(837\) | −0.00318249 | − | 0.778130i | −0.000110003 | − | 0.0268961i | ||||
\(838\) | −38.6095 | − | 33.5401i | −1.33374 | − | 1.15862i | ||||
\(839\) | 15.3332 | + | 2.01866i | 0.529362 | + | 0.0696918i | 0.390470 | − | 0.920616i | \(-0.372313\pi\) |
0.138892 | + | 0.990308i | \(0.455646\pi\) | |||||||
\(840\) | −10.8037 | + | 29.1054i | −0.372764 | + | 1.00423i | ||||
\(841\) | 20.8846 | − | 2.74950i | 0.720157 | − | 0.0948105i | ||||
\(842\) | −17.5871 | + | 26.5905i | −0.606091 | + | 0.916368i | ||||
\(843\) | −40.3166 | − | 12.6514i | −1.38858 | − | 0.435736i | ||||
\(844\) | 28.3736 | + | 5.36731i | 0.976661 | + | 0.184751i | ||||
\(845\) | 9.83001 | + | 1.95531i | 0.338162 | + | 0.0672647i | ||||
\(846\) | 10.2499 | − | 28.8253i | 0.352398 | − | 0.991033i | ||||
\(847\) | −12.8099 | + | 12.8099i | −0.440154 | + | 0.440154i | ||||
\(848\) | 17.5017 | + | 0.817283i | 0.601010 | + | 0.0280656i | ||||
\(849\) | −21.4986 | − | 35.3199i | −0.737830 | − | 1.21218i | ||||
\(850\) | 10.2931 | + | 24.5234i | 0.353051 | + | 0.841146i | ||||
\(851\) | −31.7890 | + | 10.7909i | −1.08971 | + | 0.369907i | ||||
\(852\) | −39.2123 | − | 11.9014i | −1.34339 | − | 0.407736i | ||||
\(853\) | −18.8427 | + | 9.29219i | −0.645161 | + | 0.318158i | −0.735271 | − | 0.677773i | \(-0.762945\pi\) |
0.0901093 | + | 0.995932i | \(0.471278\pi\) | |||||||
\(854\) | 25.3203 | + | 8.46267i | 0.866443 | + | 0.289587i | ||||
\(855\) | −20.3792 | + | 3.65073i | −0.696955 | + | 0.124852i | ||||
\(856\) | 28.7691 | − | 6.14513i | 0.983308 | − | 0.210036i | ||||
\(857\) | 3.96970 | − | 30.1529i | 0.135602 | − | 1.03000i | −0.779392 | − | 0.626536i | \(-0.784472\pi\) |
0.914995 | − | 0.403466i | \(-0.132195\pi\) | |||||||
\(858\) | 21.5170 | − | 7.97955i | 0.734579 | − | 0.272417i | ||||
\(859\) | −28.8277 | + | 25.2812i | −0.983588 | + | 0.862583i | −0.990517 | − | 0.137393i | \(-0.956128\pi\) |
0.00692891 | + | 0.999976i | \(0.497794\pi\) | |||||||
\(860\) | 1.31108 | + | 1.67581i | 0.0447076 | + | 0.0571446i | ||||
\(861\) | 40.6809 | + | 7.11598i | 1.38640 | + | 0.242512i | ||||
\(862\) | 23.9040 | − | 13.9511i | 0.814174 | − | 0.475176i | ||||
\(863\) | − | 20.1654i | − | 0.686437i | −0.939256 | − | 0.343218i | \(-0.888483\pi\) | ||
0.939256 | − | 0.343218i | \(-0.111517\pi\) | |||||||
\(864\) | −6.82205 | + | 28.5913i | −0.232091 | + | 0.972694i | ||||
\(865\) | 10.4806i | 0.356353i | ||||||||
\(866\) | 12.9830 | + | 22.2453i | 0.441180 | + | 0.755925i | ||||
\(867\) | 36.4809 | + | 6.38129i | 1.23895 | + | 0.216720i | ||||
\(868\) | 1.34421 | + | 0.164139i | 0.0456254 | + | 0.00557123i | ||||
\(869\) | 2.12757 | − | 1.86583i | 0.0721729 | − | 0.0632939i | ||||
\(870\) | −8.44652 | − | 22.7762i | −0.286364 | − | 0.772186i | ||||
\(871\) | 4.94638 | − | 37.5715i | 0.167602 | − | 1.27306i | ||||
\(872\) | 14.2879 | + | 20.7445i | 0.483849 | + | 0.702498i | ||||
\(873\) | −23.9584 | − | 28.3949i | −0.810870 | − | 0.961023i | ||||
\(874\) | 17.2884 | − | 51.7269i | 0.584789 | − | 1.74969i | ||||
\(875\) | 45.6714 | − | 22.5226i | 1.54397 | − | 0.761404i | ||||
\(876\) | 11.4009 | + | 21.3374i | 0.385201 | + | 0.720924i | ||||
\(877\) | 28.5138 | − | 9.67914i | 0.962843 | − | 0.326841i | 0.204624 | − | 0.978841i | \(-0.434403\pi\) |
0.758219 | + | 0.652000i | \(0.226070\pi\) | |||||||
\(878\) | −40.0367 | + | 16.8045i | −1.35117 | + | 0.567124i | ||||
\(879\) | −11.5129 | − | 18.9144i | −0.388320 | − | 0.637968i | ||||
\(880\) | 21.4753 | − | 3.23878i | 0.723933 | − | 0.109179i | ||||
\(881\) | −8.29369 | + | 8.29369i | −0.279422 | + | 0.279422i | −0.832878 | − | 0.553457i | \(-0.813309\pi\) |
0.553457 | + | 0.832878i | \(0.313309\pi\) | |||||||
\(882\) | −43.4185 | + | 36.9851i | −1.46198 | + | 1.24535i | ||||
\(883\) | −57.1522 | − | 11.3683i | −1.92332 | − | 0.382573i | −0.923324 | − | 0.384021i | \(-0.874539\pi\) |
−0.999999 | + | 0.00144844i | \(0.999539\pi\) | |||||||
\(884\) | 24.7590 | − | 16.8819i | 0.832734 | − | 0.567801i | ||||
\(885\) | −12.7109 | − | 3.98869i | −0.427272 | − | 0.134078i | ||||
\(886\) | −24.3003 | − | 16.0724i | −0.816386 | − | 0.539963i | ||||
\(887\) | 4.78443 | − | 0.629882i | 0.160645 | − | 0.0211494i | −0.0497744 | − | 0.998760i | \(-0.515850\pi\) |
0.210420 | + | 0.977611i | \(0.432517\pi\) | |||||||
\(888\) | −14.2841 | + | 15.3906i | −0.479343 | + | 0.516474i | ||||
\(889\) | −63.3821 | − | 8.34441i | −2.12577 | − | 0.279863i | ||||
\(890\) | −4.48948 | + | 5.16804i | −0.150488 | + | 0.173233i | ||||
\(891\) | 8.10203 | − | 33.9101i | 0.271428 | − | 1.13603i | ||||
\(892\) | 1.45636 | + | 2.46864i | 0.0487624 | + | 0.0826561i | ||||
\(893\) | 2.32217 | + | 35.4295i | 0.0777085 | + | 1.18560i | ||||
\(894\) | −3.00667 | + | 5.56008i | −0.100558 | + | 0.185957i | ||||
\(895\) | 16.9645 | + | 29.3834i | 0.567062 | + | 0.982179i | ||||
\(896\) | −47.8783 | − | 18.0119i | −1.59950 | − | 0.601734i | ||||
\(897\) | −9.22395 | − | 31.4861i | −0.307979 | − | 1.05129i | ||||
\(898\) | 5.25670 | − | 19.9934i | 0.175418 | − | 0.667189i | ||||
\(899\) | −0.881021 | + | 0.588679i | −0.0293837 | + | 0.0196336i | ||||
\(900\) | 15.2412 | − | 9.97143i | 0.508040 | − | 0.332381i | ||||
\(901\) | −26.6152 | + | 5.29410i | −0.886682 | + | 0.176372i | ||||
\(902\) | −9.41493 | − | 27.3134i | −0.313483 | − | 0.909436i | ||||
\(903\) | 0.912285 | + | 5.87394i | 0.0303589 | + | 0.195472i | ||||
\(904\) | 42.4884 | − | 25.3355i | 1.41314 | − | 0.842646i | ||||
\(905\) | −17.3995 | + | 2.29069i | −0.578378 | + | 0.0761450i | ||||
\(906\) | 19.5410 | − | 4.45655i | 0.649207 | − | 0.148059i | ||||
\(907\) | −8.49939 | − | 17.2351i | −0.282218 | − | 0.572281i | 0.708894 | − | 0.705315i | \(-0.249195\pi\) |
−0.991111 | + | 0.133035i | \(0.957528\pi\) | |||||||
\(908\) | 6.50641 | + | 3.13298i | 0.215923 | + | 0.103971i | ||||
\(909\) | 10.9619 | + | 8.74881i | 0.363583 | + | 0.290180i | ||||
\(910\) | −13.2755 | − | 17.1337i | −0.440078 | − | 0.567978i | ||||
\(911\) | −6.56383 | − | 24.4966i | −0.217469 | − | 0.811607i | −0.985283 | − | 0.170933i | \(-0.945322\pi\) |
0.767813 | − | 0.640674i | \(-0.221345\pi\) | |||||||
\(912\) | −5.86772 | − | 33.6050i | −0.194300 | − | 1.11277i | ||||
\(913\) | 4.77564 | − | 17.8229i | 0.158051 | − | 0.589853i | ||||
\(914\) | 45.6205 | − | 19.1482i | 1.50899 | − | 0.633365i | ||||
\(915\) | 5.82491 | + | 8.29474i | 0.192566 | + | 0.274216i | ||||
\(916\) | −50.9524 | + | 10.6336i | −1.68352 | + | 0.351343i | ||||
\(917\) | 19.0742 | + | 12.7449i | 0.629884 | + | 0.420875i | ||||
\(918\) | −0.400010 | − | 45.5244i | −0.0132023 | − | 1.50253i | ||||
\(919\) | 24.6972 | + | 10.2299i | 0.814684 | + | 0.337453i | 0.750821 | − | 0.660506i | \(-0.229658\pi\) |
0.0638628 | + | 0.997959i | \(0.479658\pi\) | |||||||
\(920\) | −2.46708 | − | 30.9515i | −0.0813372 | − | 1.02044i | ||||
\(921\) | −7.22074 | + | 18.6433i | −0.237931 | + | 0.614318i | ||||
\(922\) | 1.94501 | + | 2.88152i | 0.0640554 | + | 0.0948978i | ||||
\(923\) | 21.5099 | − | 18.8636i | 0.708006 | − | 0.620904i | ||||
\(924\) | 56.7828 | + | 21.3814i | 1.86802 | + | 0.703396i | ||||
\(925\) | 12.9829 | − | 0.850947i | 0.426876 | − | 0.0279790i | ||||
\(926\) | 21.8277 | − | 38.2201i | 0.717303 | − | 1.25599i | ||||
\(927\) | −21.9939 | − | 34.3167i | −0.722374 | − | 1.12711i | ||||
\(928\) | 37.5892 | − | 13.7523i | 1.23393 | − | 0.451442i | ||||
\(929\) | 24.0591 | + | 13.8905i | 0.789352 | + | 0.455733i | 0.839734 | − | 0.542997i | \(-0.182711\pi\) |
−0.0503824 | + | 0.998730i | \(0.516044\pi\) | |||||||
\(930\) | 0.373534 | + | 0.353268i | 0.0122487 | + | 0.0115841i | ||||
\(931\) | 29.2766 | − | 59.3671i | 0.959502 | − | 1.94568i | ||||
\(932\) | 1.72274 | + | 2.20198i | 0.0564301 | + | 0.0721281i | ||||
\(933\) | −0.300950 | + | 7.11549i | −0.00985268 | + | 0.232951i | ||||
\(934\) | −5.20091 | − | 2.53451i | −0.170179 | − | 0.0829316i | ||||
\(935\) | −31.0772 | + | 12.8726i | −1.01633 | + | 0.420980i | ||||
\(936\) | −14.4382 | − | 14.5834i | −0.471929 | − | 0.476672i | ||||
\(937\) | 2.42520 | + | 1.00455i | 0.0792277 | + | 0.0328172i | 0.421945 | − | 0.906621i | \(-0.361347\pi\) |
−0.342718 | + | 0.939438i | \(0.611347\pi\) | |||||||
\(938\) | 75.0178 | − | 66.4147i | 2.44942 | − | 2.16852i | ||||
\(939\) | −8.10840 | + | 25.8393i | −0.264607 | + | 0.843234i | ||||
\(940\) | 9.11011 | + | 18.0442i | 0.297139 | + | 0.588537i | ||||
\(941\) | −36.5920 | + | 12.4213i | −1.19286 | + | 0.404923i | −0.846097 | − | 0.533028i | \(-0.821054\pi\) |
−0.346767 | + | 0.937951i | \(0.612721\pi\) | |||||||
\(942\) | −12.0734 | + | 9.81084i | −0.393374 | + | 0.319654i | ||||
\(943\) | −39.8964 | + | 10.6902i | −1.29920 | + | 0.348121i | ||||
\(944\) | 6.66412 | − | 20.9147i | 0.216899 | − | 0.680715i | ||||
\(945\) | −32.8495 | + | 2.28804i | −1.06859 | + | 0.0744298i | ||||
\(946\) | 3.28714 | − | 2.54693i | 0.106874 | − | 0.0828079i | ||||
\(947\) | 17.7934 | − | 20.2895i | 0.578208 | − | 0.659320i | −0.386609 | − | 0.922244i | \(-0.626354\pi\) |
0.964816 | + | 0.262924i | \(0.0846869\pi\) | |||||||
\(948\) | −2.30479 | − | 1.04471i | −0.0748560 | − | 0.0339305i | ||||
\(949\) | −16.8539 | − | 1.10466i | −0.547101 | − | 0.0358589i | ||||
\(950\) | −11.6608 | + | 17.6303i | −0.378325 | + | 0.572001i | ||||
\(951\) | 25.2765 | + | 2.73336i | 0.819648 | + | 0.0886354i | ||||
\(952\) | 78.6894 | + | 9.23374i | 2.55034 | + | 0.299267i | ||||
\(953\) | 6.70376 | + | 16.1843i | 0.217156 | + | 0.524261i | 0.994491 | − | 0.104826i | \(-0.0334287\pi\) |
−0.777334 | + | 0.629088i | \(0.783429\pi\) | |||||||
\(954\) | 6.86377 | + | 17.2695i | 0.222223 | + | 0.559122i | ||||
\(955\) | −9.16956 | + | 1.82394i | −0.296720 | + | 0.0590213i | ||||
\(956\) | 11.2898 | − | 11.5039i | 0.365139 | − | 0.372064i | ||||
\(957\) | −44.5901 | + | 16.2984i | −1.44139 | + | 0.526851i | ||||
\(958\) | −7.32674 | + | 7.39588i | −0.236716 | + | 0.238950i | ||||
\(959\) | 28.1778 | + | 48.8054i | 0.909909 | + | 1.57601i | ||||
\(960\) | −10.5611 | − | 16.2984i | −0.340859 | − | 0.526028i | ||||
\(961\) | −15.4888 | + | 26.8274i | −0.499638 | + | 0.865399i | ||||
\(962\) | −3.86069 | − | 14.1423i | −0.124474 | − | 0.455966i | ||||
\(963\) | 18.5189 | + | 25.1128i | 0.596765 | + | 0.809248i | ||||
\(964\) | −3.79313 | + | 14.7074i | −0.122169 | + | 0.473693i | ||||
\(965\) | 3.09219 | − | 9.10931i | 0.0995413 | − | 0.293239i | ||||
\(966\) | 36.1829 | − | 78.8383i | 1.16417 | − | 2.53658i | ||||
\(967\) | −7.87488 | + | 10.2627i | −0.253239 | + | 0.330027i | −0.902622 | − | 0.430434i | \(-0.858361\pi\) |
0.649383 | + | 0.760461i | \(0.275027\pi\) | |||||||
\(968\) | −1.63736 | − | 11.2137i | −0.0526266 | − | 0.360421i | ||||
\(969\) | 21.3454 | + | 48.3323i | 0.685713 | + | 1.55266i | ||||
\(970\) | 24.5017 | + | 1.49039i | 0.786702 | + | 0.0478536i | ||||
\(971\) | −2.39507 | + | 3.58447i | −0.0768613 | + | 0.115031i | −0.867909 | − | 0.496724i | \(-0.834536\pi\) |
0.791047 | + | 0.611755i | \(0.209536\pi\) | |||||||
\(972\) | −30.6115 | + | 5.91077i | −0.981864 | + | 0.189588i | ||||
\(973\) | −36.1666 | − | 7.19399i | −1.15945 | − | 0.230629i | ||||
\(974\) | −1.54670 | − | 11.3366i | −0.0495593 | − | 0.363249i | ||||
\(975\) | 0.294724 | + | 12.7124i | 0.00943873 | + | 0.407122i | ||||
\(976\) | −13.7093 | + | 9.53757i | −0.438824 | + | 0.305290i | ||||
\(977\) | 1.08980 | − | 4.06720i | 0.0348659 | − | 0.130121i | −0.946299 | − | 0.323292i | \(-0.895210\pi\) |
0.981165 | + | 0.193171i | \(0.0618771\pi\) | |||||||
\(978\) | −4.29487 | − | 26.8221i | −0.137335 | − | 0.857678i | ||||
\(979\) | 10.0589 | + | 8.82144i | 0.321485 | + | 0.281935i | ||||
\(980\) | 2.11135 | − | 37.6252i | 0.0674447 | − | 1.20189i | ||||
\(981\) | −13.7976 | + | 22.8782i | −0.440525 | + | 0.730446i | ||||
\(982\) | 7.22562 | + | 2.41498i | 0.230579 | + | 0.0770651i | ||||
\(983\) | 24.4368 | − | 18.7510i | 0.779413 | − | 0.598065i | −0.140548 | − | 0.990074i | \(-0.544886\pi\) |
0.919961 | + | 0.392009i | \(0.128220\pi\) | |||||||
\(984\) | −18.7754 | + | 17.7459i | −0.598537 | + | 0.565719i | ||||
\(985\) | −13.3993 | − | 10.2816i | −0.426937 | − | 0.327600i | ||||
\(986\) | −51.3833 | + | 34.6834i | −1.63638 | + | 1.10454i | ||||
\(987\) | −2.38633 | + | 56.4210i | −0.0759578 | + | 1.79590i | ||||
\(988\) | 22.0883 | + | 8.90715i | 0.702724 | + | 0.283374i | ||||
\(989\) | −3.30292 | − | 4.94317i | −0.105027 | − | 0.157184i | ||||
\(990\) | 12.5209 | + | 19.3356i | 0.397940 | + | 0.614526i | ||||
\(991\) | 62.2941i | 1.97884i | 0.145084 | + | 0.989419i | \(0.453655\pi\) | ||||
−0.145084 | + | 0.989419i | \(0.546345\pi\) | |||||||
\(992\) | −0.584779 | + | 0.612910i | −0.0185668 | + | 0.0194599i | ||||
\(993\) | 18.3911 | − | 5.38773i | 0.583624 | − | 0.170974i | ||||
\(994\) | 75.6404 | − | 0.355254i | 2.39917 | − | 0.0112680i | ||||
\(995\) | −12.6816 | + | 25.7158i | −0.402035 | + | 0.815246i | ||||
\(996\) | −16.2800 | + | 2.68530i | −0.515852 | + | 0.0850870i | ||||
\(997\) | −2.57533 | − | 0.874206i | −0.0815614 | − | 0.0276864i | 0.280361 | − | 0.959895i | \(-0.409546\pi\) |
−0.361922 | + | 0.932208i | \(0.617879\pi\) | |||||||
\(998\) | 8.09647 | − | 0.568872i | 0.256289 | − | 0.0180073i | ||||
\(999\) | −21.1186 | − | 7.07261i | −0.668164 | − | 0.223768i |
(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 | 576.2.bm.a.205.57 | yes | 1504 | |
9.4 | even | 3 | inner | 576.2.bm.a.13.72 | ✓ | 1504 | |
64.5 | even | 16 | inner | 576.2.bm.a.133.72 | yes | 1504 | |
576.517 | even | 48 | inner | 576.2.bm.a.517.57 | yes | 1504 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
576.2.bm.a.13.72 | ✓ | 1504 | 9.4 | even | 3 | inner | |
576.2.bm.a.133.72 | yes | 1504 | 64.5 | even | 16 | inner | |
576.2.bm.a.205.57 | yes | 1504 | 1.1 | even | 1 | trivial | |
576.2.bm.a.517.57 | yes | 1504 | 576.517 | even | 48 | inner |