Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [260,2,Mod(103,260)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(260, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("260.103");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 260 = 2^{2} \cdot 5 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 260.p (of order \(4\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.07611045255\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(32\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 103.6 | ||
Character | \(\chi\) | \(=\) | 260.103 |
Dual form | 260.2.p.d.207.6 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/260\mathbb{Z}\right)^\times\).
\(n\) | \(41\) | \(131\) | \(157\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.23237 | − | 0.693735i | −0.871416 | − | 0.490545i | ||||
\(3\) | −0.828304 | + | 0.828304i | −0.478221 | + | 0.478221i | −0.904562 | − | 0.426341i | \(-0.859802\pi\) |
0.426341 | + | 0.904562i | \(0.359802\pi\) | |||||||
\(4\) | 1.03746 | + | 1.70987i | 0.518731 | + | 0.854937i | ||||
\(5\) | −1.31937 | + | 1.80534i | −0.590040 | + | 0.807374i | ||||
\(6\) | 1.59540 | − | 0.446152i | 0.651319 | − | 0.182141i | ||||
\(7\) | 2.94084 | − | 2.94084i | 1.11153 | − | 1.11153i | 0.118589 | − | 0.992943i | \(-0.462163\pi\) |
0.992943 | − | 0.118589i | \(-0.0378371\pi\) | |||||||
\(8\) | −0.0923349 | − | 2.82692i | −0.0326453 | − | 0.999467i | ||||
\(9\) | 1.62783i | 0.542609i | ||||||||
\(10\) | 2.87838 | − | 1.30955i | 0.910224 | − | 0.414117i | ||||
\(11\) | −3.40117 | −1.02549 | −0.512745 | − | 0.858541i | \(-0.671371\pi\) | ||||
−0.512745 | + | 0.858541i | \(0.671371\pi\) | |||||||
\(12\) | −2.27563 | − | 0.556962i | −0.656918 | − | 0.160781i | ||||
\(13\) | −1.99125 | + | 3.00581i | −0.552274 | + | 0.833663i | ||||
\(14\) | −5.66436 | + | 1.58403i | −1.51386 | + | 0.423350i | ||||
\(15\) | −0.402533 | − | 2.58821i | −0.103934 | − | 0.668273i | ||||
\(16\) | −1.84734 | + | 3.54786i | −0.461836 | + | 0.886965i | ||||
\(17\) | −2.96509 | + | 2.96509i | −0.719140 | + | 0.719140i | −0.968429 | − | 0.249289i | \(-0.919803\pi\) |
0.249289 | + | 0.968429i | \(0.419803\pi\) | |||||||
\(18\) | 1.12928 | − | 2.00608i | 0.266174 | − | 0.472838i | ||||
\(19\) | 7.33328i | 1.68237i | 0.540748 | + | 0.841184i | \(0.318141\pi\) | ||||
−0.540748 | + | 0.841184i | \(0.681859\pi\) | |||||||
\(20\) | −4.45571 | − | 0.382982i | −0.996326 | − | 0.0856374i | ||||
\(21\) | 4.87182i | 1.06312i | ||||||||
\(22\) | 4.19149 | + | 2.35951i | 0.893629 | + | 0.503049i | ||||
\(23\) | 1.65342 | − | 1.65342i | 0.344761 | − | 0.344761i | −0.513393 | − | 0.858154i | \(-0.671612\pi\) |
0.858154 | + | 0.513393i | \(0.171612\pi\) | |||||||
\(24\) | 2.41803 | + | 2.26507i | 0.493578 | + | 0.462355i | ||||
\(25\) | −1.51853 | − | 4.76383i | −0.303705 | − | 0.952766i | ||||
\(26\) | 4.53919 | − | 2.32287i | 0.890209 | − | 0.455552i | ||||
\(27\) | −3.83325 | − | 3.83325i | −0.737708 | − | 0.737708i | ||||
\(28\) | 8.07948 | + | 1.97746i | 1.52688 | + | 0.373704i | ||||
\(29\) | 1.98422i | 0.368460i | 0.982883 | + | 0.184230i | \(0.0589792\pi\) | ||||
−0.982883 | + | 0.184230i | \(0.941021\pi\) | |||||||
\(30\) | −1.29946 | + | 3.46888i | −0.237249 | + | 0.633328i | ||||
\(31\) | −4.43526 | −0.796597 | −0.398299 | − | 0.917256i | \(-0.630399\pi\) | ||||
−0.398299 | + | 0.917256i | \(0.630399\pi\) | |||||||
\(32\) | 4.73788 | − | 3.09070i | 0.837548 | − | 0.546364i | ||||
\(33\) | 2.81720 | − | 2.81720i | 0.490412 | − | 0.490412i | ||||
\(34\) | 5.71107 | − | 1.59709i | 0.979440 | − | 0.273899i | ||||
\(35\) | 1.42917 | + | 9.18928i | 0.241573 | + | 1.55327i | ||||
\(36\) | −2.78338 | + | 1.68881i | −0.463896 | + | 0.281468i | ||||
\(37\) | 1.88762 | + | 1.88762i | 0.310322 | + | 0.310322i | 0.845034 | − | 0.534712i | \(-0.179580\pi\) |
−0.534712 | + | 0.845034i | \(0.679580\pi\) | |||||||
\(38\) | 5.08735 | − | 9.03730i | 0.825278 | − | 1.46604i | ||||
\(39\) | −0.840366 | − | 4.13909i | −0.134566 | − | 0.662785i | ||||
\(40\) | 5.22538 | + | 3.56306i | 0.826206 | + | 0.563369i | ||||
\(41\) | 7.55280i | 1.17955i | 0.807568 | + | 0.589774i | \(0.200783\pi\) | ||||
−0.807568 | + | 0.589774i | \(0.799217\pi\) | |||||||
\(42\) | 3.37975 | − | 6.00387i | 0.521507 | − | 0.926417i | ||||
\(43\) | 0.548655 | − | 0.548655i | 0.0836691 | − | 0.0836691i | −0.664034 | − | 0.747703i | \(-0.731157\pi\) |
0.747703 | + | 0.664034i | \(0.231157\pi\) | |||||||
\(44\) | −3.52858 | − | 5.81557i | −0.531954 | − | 0.876730i | ||||
\(45\) | −2.93878 | − | 2.14770i | −0.438088 | − | 0.320161i | ||||
\(46\) | −3.18465 | + | 0.890583i | −0.469551 | + | 0.131309i | ||||
\(47\) | −5.58516 | + | 5.58516i | −0.814679 | + | 0.814679i | −0.985331 | − | 0.170652i | \(-0.945413\pi\) |
0.170652 | + | 0.985331i | \(0.445413\pi\) | |||||||
\(48\) | −1.40855 | − | 4.46887i | −0.203306 | − | 0.645026i | ||||
\(49\) | − | 10.2971i | − | 1.47101i | ||||||
\(50\) | −1.43345 | + | 6.92425i | −0.202721 | + | 0.979237i | ||||
\(51\) | − | 4.91199i | − | 0.687816i | ||||||
\(52\) | −7.20541 | − | 0.286371i | −0.999211 | − | 0.0397125i | ||||
\(53\) | −0.437273 | − | 0.437273i | −0.0600640 | − | 0.0600640i | 0.676437 | − | 0.736501i | \(-0.263523\pi\) |
−0.736501 | + | 0.676437i | \(0.763523\pi\) | |||||||
\(54\) | 2.06471 | + | 7.38323i | 0.280972 | + | 1.00473i | ||||
\(55\) | 4.48740 | − | 6.14027i | 0.605081 | − | 0.827954i | ||||
\(56\) | −8.58506 | − | 8.04197i | −1.14723 | − | 1.07465i | ||||
\(57\) | −6.07418 | − | 6.07418i | −0.804545 | − | 0.804545i | ||||
\(58\) | 1.37652 | − | 2.44529i | 0.180746 | − | 0.321082i | ||||
\(59\) | − | 6.14051i | − | 0.799426i | −0.916640 | − | 0.399713i | \(-0.869110\pi\) | ||
0.916640 | − | 0.399713i | \(-0.130890\pi\) | |||||||
\(60\) | 4.00790 | − | 3.37345i | 0.517418 | − | 0.435511i | ||||
\(61\) | 8.12327 | 1.04008 | 0.520039 | − | 0.854142i | \(-0.325917\pi\) | ||||
0.520039 | + | 0.854142i | \(0.325917\pi\) | |||||||
\(62\) | 5.46588 | + | 3.07690i | 0.694167 | + | 0.390767i | ||||
\(63\) | 4.78717 | + | 4.78717i | 0.603127 | + | 0.603127i | ||||
\(64\) | −7.98295 | + | 0.522046i | −0.997869 | + | 0.0652558i | ||||
\(65\) | −2.79933 | − | 7.56067i | −0.347214 | − | 0.937786i | ||||
\(66\) | −5.42622 | + | 1.51744i | −0.667921 | + | 0.186783i | ||||
\(67\) | 3.78718 | − | 3.78718i | 0.462678 | − | 0.462678i | −0.436854 | − | 0.899532i | \(-0.643908\pi\) |
0.899532 | + | 0.436854i | \(0.143908\pi\) | |||||||
\(68\) | −8.14610 | − | 1.99376i | −0.987860 | − | 0.241779i | ||||
\(69\) | 2.73906i | 0.329744i | ||||||||
\(70\) | 4.61367 | − | 12.3160i | 0.551438 | − | 1.47205i | ||||
\(71\) | 8.90033 | 1.05628 | 0.528138 | − | 0.849159i | \(-0.322891\pi\) | ||||
0.528138 | + | 0.849159i | \(0.322891\pi\) | |||||||
\(72\) | 4.60173 | − | 0.150305i | 0.542319 | − | 0.0177136i | ||||
\(73\) | 4.20522 | − | 4.20522i | 0.492184 | − | 0.492184i | −0.416810 | − | 0.908994i | \(-0.636852\pi\) |
0.908994 | + | 0.416810i | \(0.136852\pi\) | |||||||
\(74\) | −1.01673 | − | 3.63575i | −0.118193 | − | 0.422647i | ||||
\(75\) | 5.20370 | + | 2.68810i | 0.600871 | + | 0.310395i | ||||
\(76\) | −12.5390 | + | 7.60800i | −1.43832 | + | 0.872697i | ||||
\(77\) | −10.0023 | + | 10.0023i | −1.13987 | + | 1.13987i | ||||
\(78\) | −1.83579 | + | 5.68387i | −0.207862 | + | 0.643572i | ||||
\(79\) | 13.2369 | 1.48927 | 0.744633 | − | 0.667474i | \(-0.232624\pi\) | ||||
0.744633 | + | 0.667474i | \(0.232624\pi\) | |||||||
\(80\) | −3.96778 | − | 8.01603i | −0.443611 | − | 0.896219i | ||||
\(81\) | 1.46671 | 0.162967 | ||||||||
\(82\) | 5.23964 | − | 9.30783i | 0.578622 | − | 1.02788i | ||||
\(83\) | −0.688014 | − | 0.688014i | −0.0755194 | − | 0.0755194i | 0.668338 | − | 0.743858i | \(-0.267006\pi\) |
−0.743858 | + | 0.668338i | \(0.767006\pi\) | |||||||
\(84\) | −8.33020 | + | 5.05433i | −0.908899 | + | 0.551472i | ||||
\(85\) | −1.44095 | − | 9.26505i | −0.156293 | − | 1.00494i | ||||
\(86\) | −1.05677 | + | 0.295523i | −0.113954 | + | 0.0318671i | ||||
\(87\) | −1.64354 | − | 1.64354i | −0.176206 | − | 0.176206i | ||||
\(88\) | 0.314046 | + | 9.61483i | 0.0334775 | + | 1.02494i | ||||
\(89\) | 17.5962 | 1.86520 | 0.932599 | − | 0.360915i | \(-0.117536\pi\) | ||||
0.932599 | + | 0.360915i | \(0.117536\pi\) | |||||||
\(90\) | 2.13172 | + | 4.68550i | 0.224703 | + | 0.493895i | ||||
\(91\) | 2.98367 | + | 14.6956i | 0.312773 | + | 1.54051i | ||||
\(92\) | 4.54249 | + | 1.11178i | 0.473587 | + | 0.115911i | ||||
\(93\) | 3.67375 | − | 3.67375i | 0.380950 | − | 0.380950i | ||||
\(94\) | 10.7576 | − | 3.00835i | 1.10956 | − | 0.310288i | ||||
\(95\) | −13.2391 | − | 9.67530i | −1.35830 | − | 0.992665i | ||||
\(96\) | −1.36437 | + | 6.48445i | −0.139250 | + | 0.661816i | ||||
\(97\) | −3.63754 | − | 3.63754i | −0.369336 | − | 0.369336i | 0.497899 | − | 0.867235i | \(-0.334105\pi\) |
−0.867235 | + | 0.497899i | \(0.834105\pi\) | |||||||
\(98\) | −7.14344 | + | 12.6898i | −0.721596 | + | 1.28186i | ||||
\(99\) | − | 5.53651i | − | 0.556440i | ||||||
\(100\) | 6.57014 | − | 7.53878i | 0.657014 | − | 0.753878i | ||||
\(101\) | 2.16914 | 0.215838 | 0.107919 | − | 0.994160i | \(-0.465581\pi\) | ||||
0.107919 | + | 0.994160i | \(0.465581\pi\) | |||||||
\(102\) | −3.40762 | + | 6.05338i | −0.337405 | + | 0.599374i | ||||
\(103\) | −13.3191 | + | 13.3191i | −1.31237 | + | 1.31237i | −0.392713 | + | 0.919661i | \(0.628464\pi\) |
−0.919661 | + | 0.392713i | \(0.871536\pi\) | |||||||
\(104\) | 8.68106 | + | 5.35157i | 0.851248 | + | 0.524764i | ||||
\(105\) | −8.79530 | − | 6.42773i | −0.858333 | − | 0.627282i | ||||
\(106\) | 0.235529 | + | 0.842233i | 0.0228766 | + | 0.0818049i | ||||
\(107\) | −4.28539 | − | 4.28539i | −0.414284 | − | 0.414284i | 0.468944 | − | 0.883228i | \(-0.344635\pi\) |
−0.883228 | + | 0.468944i | \(0.844635\pi\) | |||||||
\(108\) | 2.57752 | − | 10.5312i | 0.248022 | − | 1.01337i | ||||
\(109\) | −6.58437 | −0.630668 | −0.315334 | − | 0.948981i | \(-0.602117\pi\) | ||||
−0.315334 | + | 0.948981i | \(0.602117\pi\) | |||||||
\(110\) | −9.78985 | + | 4.45401i | −0.933426 | + | 0.424673i | ||||
\(111\) | −3.12704 | −0.296806 | ||||||||
\(112\) | 5.00095 | + | 15.8664i | 0.472545 | + | 1.49924i | ||||
\(113\) | 8.42371 | + | 8.42371i | 0.792436 | + | 0.792436i | 0.981890 | − | 0.189453i | \(-0.0606716\pi\) |
−0.189453 | + | 0.981890i | \(0.560672\pi\) | |||||||
\(114\) | 3.27175 | + | 11.6995i | 0.306428 | + | 1.09576i | ||||
\(115\) | 0.803515 | + | 5.16645i | 0.0749282 | + | 0.481774i | ||||
\(116\) | −3.39277 | + | 2.05855i | −0.315011 | + | 0.191132i | ||||
\(117\) | −4.89294 | − | 3.24141i | −0.452353 | − | 0.299668i | ||||
\(118\) | −4.25989 | + | 7.56737i | −0.392155 | + | 0.696633i | ||||
\(119\) | 17.4397i | 1.59869i | ||||||||
\(120\) | −7.27950 | + | 1.37691i | −0.664524 | + | 0.125694i | ||||
\(121\) | 0.567942 | 0.0516310 | ||||||||
\(122\) | −10.0109 | − | 5.63540i | −0.906341 | − | 0.510205i | ||||
\(123\) | −6.25601 | − | 6.25601i | −0.564085 | − | 0.564085i | ||||
\(124\) | −4.60142 | − | 7.58375i | −0.413220 | − | 0.681041i | ||||
\(125\) | 10.6038 | + | 3.54379i | 0.948437 | + | 0.316967i | ||||
\(126\) | −2.57853 | − | 9.22059i | −0.229713 | − | 0.821435i | ||||
\(127\) | 3.55390 | + | 3.55390i | 0.315357 | + | 0.315357i | 0.846981 | − | 0.531624i | \(-0.178418\pi\) |
−0.531624 | + | 0.846981i | \(0.678418\pi\) | |||||||
\(128\) | 10.2001 | + | 4.89470i | 0.901569 | + | 0.432635i | ||||
\(129\) | 0.908906i | 0.0800247i | ||||||||
\(130\) | −1.79530 | + | 11.2595i | −0.157458 | + | 0.987526i | ||||
\(131\) | − | 10.9417i | − | 0.955984i | −0.878364 | − | 0.477992i | \(-0.841365\pi\) | ||
0.878364 | − | 0.477992i | \(-0.158635\pi\) | |||||||
\(132\) | 7.73980 | + | 1.89432i | 0.673663 | + | 0.164879i | ||||
\(133\) | 21.5660 | + | 21.5660i | 1.87001 | + | 1.87001i | ||||
\(134\) | −7.29450 | + | 2.03990i | −0.630149 | + | 0.176220i | ||||
\(135\) | 11.9778 | − | 1.86285i | 1.03088 | − | 0.160329i | ||||
\(136\) | 8.65585 | + | 8.10829i | 0.742233 | + | 0.695280i | ||||
\(137\) | −0.789026 | − | 0.789026i | −0.0674110 | − | 0.0674110i | 0.672597 | − | 0.740009i | \(-0.265179\pi\) |
−0.740009 | + | 0.672597i | \(0.765179\pi\) | |||||||
\(138\) | 1.90018 | − | 3.37553i | 0.161754 | − | 0.287344i | ||||
\(139\) | −14.6017 | −1.23850 | −0.619251 | − | 0.785193i | \(-0.712564\pi\) | ||||
−0.619251 | + | 0.785193i | \(0.712564\pi\) | |||||||
\(140\) | −14.2298 | + | 11.9772i | −1.20264 | + | 1.01226i | ||||
\(141\) | − | 9.25242i | − | 0.779194i | ||||||
\(142\) | −10.9685 | − | 6.17448i | −0.920455 | − | 0.518150i | ||||
\(143\) | 6.77258 | − | 10.2233i | 0.566352 | − | 0.854913i | ||||
\(144\) | −5.77530 | − | 3.00715i | −0.481275 | − | 0.250596i | ||||
\(145\) | −3.58220 | − | 2.61792i | −0.297485 | − | 0.217406i | ||||
\(146\) | −8.09970 | + | 2.26507i | −0.670336 | + | 0.187459i | ||||
\(147\) | 8.52910 | + | 8.52910i | 0.703468 | + | 0.703468i | ||||
\(148\) | −1.26926 | + | 5.18592i | −0.104332 | + | 0.426280i | ||||
\(149\) | 13.1526 | 1.07751 | 0.538753 | − | 0.842464i | \(-0.318896\pi\) | ||||
0.538753 | + | 0.842464i | \(0.318896\pi\) | |||||||
\(150\) | −4.54804 | − | 6.92272i | −0.371346 | − | 0.565237i | ||||
\(151\) | 1.17393 | 0.0955332 | 0.0477666 | − | 0.998859i | \(-0.484790\pi\) | ||||
0.0477666 | + | 0.998859i | \(0.484790\pi\) | |||||||
\(152\) | 20.7306 | − | 0.677117i | 1.68147 | − | 0.0549214i | ||||
\(153\) | −4.82665 | − | 4.82665i | −0.390211 | − | 0.390211i | ||||
\(154\) | 19.2654 | − | 5.38756i | 1.55245 | − | 0.434142i | ||||
\(155\) | 5.85175 | − | 8.00717i | 0.470024 | − | 0.643152i | ||||
\(156\) | 6.20547 | − | 5.73107i | 0.496836 | − | 0.458853i | ||||
\(157\) | −0.498889 | + | 0.498889i | −0.0398157 | + | 0.0398157i | −0.726734 | − | 0.686919i | \(-0.758963\pi\) |
0.686919 | + | 0.726734i | \(0.258963\pi\) | |||||||
\(158\) | −16.3127 | − | 9.18290i | −1.29777 | − | 0.730552i | ||||
\(159\) | 0.724390 | 0.0574478 | ||||||||
\(160\) | −0.671243 | + | 12.6313i | −0.0530664 | + | 0.998591i | ||||
\(161\) | − | 9.72485i | − | 0.766426i | ||||||
\(162\) | −1.80752 | − | 1.01751i | −0.142012 | − | 0.0799429i | ||||
\(163\) | 6.52976 | + | 6.52976i | 0.511450 | + | 0.511450i | 0.914971 | − | 0.403520i | \(-0.132214\pi\) |
−0.403520 | + | 0.914971i | \(0.632214\pi\) | |||||||
\(164\) | −12.9143 | + | 7.83574i | −1.00844 | + | 0.611869i | ||||
\(165\) | 1.36908 | + | 8.80294i | 0.106583 | + | 0.685308i | ||||
\(166\) | 0.370587 | + | 1.32519i | 0.0287631 | + | 0.102854i | ||||
\(167\) | −5.63541 | + | 5.63541i | −0.436081 | + | 0.436081i | −0.890691 | − | 0.454610i | \(-0.849779\pi\) |
0.454610 | + | 0.890691i | \(0.349779\pi\) | |||||||
\(168\) | 13.7722 | − | 0.449838i | 1.06255 | − | 0.0347058i | ||||
\(169\) | −5.06984 | − | 11.9707i | −0.389987 | − | 0.920820i | ||||
\(170\) | −4.65171 | + | 12.4176i | −0.356770 | + | 0.952386i | ||||
\(171\) | −11.9373 | −0.912868 | ||||||||
\(172\) | 1.50734 | + | 0.368922i | 0.114934 | + | 0.0281301i | ||||
\(173\) | 2.77038 | + | 2.77038i | 0.210628 | + | 0.210628i | 0.804534 | − | 0.593906i | \(-0.202415\pi\) |
−0.593906 | + | 0.804534i | \(0.702415\pi\) | |||||||
\(174\) | 0.885263 | + | 3.16562i | 0.0671116 | + | 0.239985i | ||||
\(175\) | −18.4754 | − | 9.54392i | −1.39661 | − | 0.721452i | ||||
\(176\) | 6.28313 | − | 12.0669i | 0.473608 | − | 0.909575i | ||||
\(177\) | 5.08621 | + | 5.08621i | 0.382303 | + | 0.382303i | ||||
\(178\) | −21.6850 | − | 12.2071i | −1.62536 | − | 0.914963i | ||||
\(179\) | −9.15302 | −0.684129 | −0.342064 | − | 0.939677i | \(-0.611126\pi\) | ||||
−0.342064 | + | 0.939677i | \(0.611126\pi\) | |||||||
\(180\) | 0.623428 | − | 7.25311i | 0.0464676 | − | 0.540615i | ||||
\(181\) | 11.6077 | 0.862792 | 0.431396 | − | 0.902163i | \(-0.358021\pi\) | ||||
0.431396 | + | 0.902163i | \(0.358021\pi\) | |||||||
\(182\) | 6.51786 | − | 20.1802i | 0.483136 | − | 1.49586i | ||||
\(183\) | −6.72854 | + | 6.72854i | −0.497388 | + | 0.497388i | ||||
\(184\) | −4.82674 | − | 4.52140i | −0.355832 | − | 0.333322i | ||||
\(185\) | −5.89826 | + | 0.917331i | −0.433649 | + | 0.0674435i | ||||
\(186\) | −7.07602 | + | 1.97880i | −0.518839 | + | 0.145093i | ||||
\(187\) | 10.0848 | − | 10.0848i | 0.737471 | − | 0.737471i | ||||
\(188\) | −15.3443 | − | 3.75553i | −1.11910 | − | 0.273900i | ||||
\(189\) | −22.5459 | −1.63997 | ||||||||
\(190\) | 9.60332 | + | 21.1080i | 0.696698 | + | 1.53133i | ||||
\(191\) | 12.7491i | 0.922496i | 0.887271 | + | 0.461248i | \(0.152598\pi\) | ||||
−0.887271 | + | 0.461248i | \(0.847402\pi\) | |||||||
\(192\) | 6.17989 | − | 7.04472i | 0.445995 | − | 0.508409i | ||||
\(193\) | −8.64101 | + | 8.64101i | −0.621994 | + | 0.621994i | −0.946041 | − | 0.324047i | \(-0.894956\pi\) |
0.324047 | + | 0.946041i | \(0.394956\pi\) | |||||||
\(194\) | 1.95930 | + | 7.00627i | 0.140669 | + | 0.503021i | ||||
\(195\) | 8.58123 | + | 3.94384i | 0.614514 | + | 0.282424i | ||||
\(196\) | 17.6067 | − | 10.6828i | 1.25762 | − | 0.763058i | ||||
\(197\) | 6.24790 | + | 6.24790i | 0.445145 | + | 0.445145i | 0.893737 | − | 0.448592i | \(-0.148074\pi\) |
−0.448592 | + | 0.893737i | \(0.648074\pi\) | |||||||
\(198\) | −3.84087 | + | 6.82302i | −0.272959 | + | 0.484891i | ||||
\(199\) | 6.11372 | 0.433390 | 0.216695 | − | 0.976239i | \(-0.430472\pi\) | ||||
0.216695 | + | 0.976239i | \(0.430472\pi\) | |||||||
\(200\) | −13.3268 | + | 4.73262i | −0.942344 | + | 0.334647i | ||||
\(201\) | 6.27387i | 0.442525i | ||||||||
\(202\) | −2.67318 | − | 1.50481i | −0.188084 | − | 0.105878i | ||||
\(203\) | 5.83527 | + | 5.83527i | 0.409556 | + | 0.409556i | ||||
\(204\) | 8.39889 | − | 5.09600i | 0.588040 | − | 0.356792i | ||||
\(205\) | −13.6354 | − | 9.96493i | −0.952337 | − | 0.695981i | ||||
\(206\) | 25.6540 | − | 7.17413i | 1.78740 | − | 0.499845i | ||||
\(207\) | 2.69147 | + | 2.69147i | 0.187070 | + | 0.187070i | ||||
\(208\) | −6.98569 | − | 12.6175i | −0.484370 | − | 0.874863i | ||||
\(209\) | − | 24.9417i | − | 1.72525i | ||||||
\(210\) | 6.37990 | + | 14.0229i | 0.440255 | + | 0.967675i | ||||
\(211\) | 7.61186i | 0.524022i | 0.965065 | + | 0.262011i | \(0.0843857\pi\) | ||||
−0.965065 | + | 0.262011i | \(0.915614\pi\) | |||||||
\(212\) | 0.294028 | − | 1.20134i | 0.0201939 | − | 0.0825081i | ||||
\(213\) | −7.37218 | + | 7.37218i | −0.505133 | + | 0.505133i | ||||
\(214\) | 2.30825 | + | 8.25411i | 0.157789 | + | 0.564239i | ||||
\(215\) | 0.266631 | + | 1.71439i | 0.0181841 | + | 0.116920i | ||||
\(216\) | −10.4823 | + | 11.1902i | −0.713233 | + | 0.761398i | ||||
\(217\) | −13.0434 | + | 13.0434i | −0.885444 | + | 0.885444i | ||||
\(218\) | 8.11437 | + | 4.56781i | 0.549574 | + | 0.309371i | ||||
\(219\) | 6.96641i | 0.470746i | ||||||||
\(220\) | 15.1546 | + | 1.30259i | 1.02172 | + | 0.0878204i | ||||
\(221\) | −3.00827 | − | 14.8167i | −0.202358 | − | 0.996682i | ||||
\(222\) | 3.85367 | + | 2.16934i | 0.258641 | + | 0.145597i | ||||
\(223\) | −7.50725 | − | 7.50725i | −0.502723 | − | 0.502723i | 0.409560 | − | 0.912283i | \(-0.365682\pi\) |
−0.912283 | + | 0.409560i | \(0.865682\pi\) | |||||||
\(224\) | 4.84409 | − | 23.0226i | 0.323660 | − | 1.53826i | ||||
\(225\) | 7.75468 | − | 2.47190i | 0.516979 | − | 0.164793i | ||||
\(226\) | −4.53729 | − | 16.2249i | −0.301816 | − | 1.07927i | ||||
\(227\) | 11.9566 | − | 11.9566i | 0.793590 | − | 0.793590i | −0.188486 | − | 0.982076i | \(-0.560358\pi\) |
0.982076 | + | 0.188486i | \(0.0603580\pi\) | |||||||
\(228\) | 4.08435 | − | 16.6878i | 0.270493 | − | 1.10518i | ||||
\(229\) | −1.91943 | −0.126839 | −0.0634197 | − | 0.997987i | \(-0.520201\pi\) | ||||
−0.0634197 | + | 0.997987i | \(0.520201\pi\) | |||||||
\(230\) | 2.59392 | − | 6.92439i | 0.171038 | − | 0.456581i | ||||
\(231\) | − | 16.5699i | − | 1.09022i | ||||||
\(232\) | 5.60923 | − | 0.183213i | 0.368264 | − | 0.0120285i | ||||
\(233\) | −18.7540 | − | 18.7540i | −1.22862 | − | 1.22862i | −0.964487 | − | 0.264131i | \(-0.914915\pi\) |
−0.264131 | − | 0.964487i | \(-0.585085\pi\) | |||||||
\(234\) | 3.78122 | + | 7.38902i | 0.247186 | + | 0.483035i | ||||
\(235\) | −2.71424 | − | 17.4520i | −0.177057 | − | 1.13844i | ||||
\(236\) | 10.4995 | − | 6.37055i | 0.683459 | − | 0.414687i | ||||
\(237\) | −10.9642 | + | 10.9642i | −0.712199 | + | 0.712199i | ||||
\(238\) | 12.0985 | − | 21.4921i | 0.784232 | − | 1.39313i | ||||
\(239\) | − | 18.0653i | − | 1.16854i | −0.811558 | − | 0.584272i | \(-0.801380\pi\) | ||
0.811558 | − | 0.584272i | \(-0.198620\pi\) | |||||||
\(240\) | 9.92623 | + | 3.35318i | 0.640736 | + | 0.216447i | ||||
\(241\) | 18.1104i | 1.16659i | 0.812259 | + | 0.583297i | \(0.198238\pi\) | ||||
−0.812259 | + | 0.583297i | \(0.801762\pi\) | |||||||
\(242\) | −0.699913 | − | 0.394001i | −0.0449921 | − | 0.0253274i | ||||
\(243\) | 10.2849 | − | 10.2849i | 0.659774 | − | 0.659774i | ||||
\(244\) | 8.42759 | + | 13.8898i | 0.539521 | + | 0.889202i | ||||
\(245\) | 18.5897 | + | 13.5856i | 1.18765 | + | 0.867954i | ||||
\(246\) | 3.36969 | + | 12.0497i | 0.214844 | + | 0.768262i | ||||
\(247\) | −22.0425 | − | 14.6024i | −1.40253 | − | 0.929128i | ||||
\(248\) | 0.409530 | + | 12.5381i | 0.0260052 | + | 0.796172i | ||||
\(249\) | 1.13977 | 0.0722300 | ||||||||
\(250\) | −10.6094 | − | 11.7235i | −0.670996 | − | 0.741461i | ||||
\(251\) | 6.46202i | 0.407879i | 0.978983 | + | 0.203940i | \(0.0653746\pi\) | ||||
−0.978983 | + | 0.203940i | \(0.934625\pi\) | |||||||
\(252\) | −3.21895 | + | 13.1520i | −0.202775 | + | 0.828497i | ||||
\(253\) | −5.62354 | + | 5.62354i | −0.353549 | + | 0.353549i | ||||
\(254\) | −1.91424 | − | 6.84517i | −0.120110 | − | 0.429504i | ||||
\(255\) | 8.86782 | + | 6.48073i | 0.555325 | + | 0.405839i | ||||
\(256\) | −9.17464 | − | 13.1082i | −0.573415 | − | 0.819265i | ||||
\(257\) | 10.4843 | − | 10.4843i | 0.653990 | − | 0.653990i | −0.299961 | − | 0.953951i | \(-0.596974\pi\) |
0.953951 | + | 0.299961i | \(0.0969738\pi\) | |||||||
\(258\) | 0.630540 | − | 1.12011i | 0.0392557 | − | 0.0697348i | ||||
\(259\) | 11.1024 | 0.689867 | ||||||||
\(260\) | 10.0236 | − | 12.6304i | 0.621638 | − | 0.783305i | ||||
\(261\) | −3.22996 | −0.199930 | ||||||||
\(262\) | −7.59067 | + | 13.4842i | −0.468953 | + | 0.833059i | ||||
\(263\) | −6.53406 | + | 6.53406i | −0.402907 | + | 0.402907i | −0.879256 | − | 0.476349i | \(-0.841960\pi\) |
0.476349 | + | 0.879256i | \(0.341960\pi\) | |||||||
\(264\) | −8.22412 | − | 7.70387i | −0.506160 | − | 0.474141i | ||||
\(265\) | 1.36635 | − | 0.212503i | 0.0839343 | − | 0.0130539i | ||||
\(266\) | −11.6161 | − | 41.5383i | −0.712231 | − | 2.54688i | ||||
\(267\) | −14.5750 | + | 14.5750i | −0.891977 | + | 0.891977i | ||||
\(268\) | 10.4047 | + | 2.54655i | 0.635566 | + | 0.155555i | ||||
\(269\) | 29.0536i | 1.77143i | 0.464230 | + | 0.885715i | \(0.346331\pi\) | ||||
−0.464230 | + | 0.885715i | \(0.653669\pi\) | |||||||
\(270\) | −16.0534 | − | 6.01370i | −0.976977 | − | 0.365982i | ||||
\(271\) | 6.41043 | 0.389406 | 0.194703 | − | 0.980862i | \(-0.437626\pi\) | ||||
0.194703 | + | 0.980862i | \(0.437626\pi\) | |||||||
\(272\) | −5.04219 | − | 15.9973i | −0.305727 | − | 0.969977i | ||||
\(273\) | −14.6438 | − | 9.70101i | −0.886281 | − | 0.587132i | ||||
\(274\) | 0.424995 | + | 1.51975i | 0.0256749 | + | 0.0918112i | ||||
\(275\) | 5.16476 | + | 16.2026i | 0.311447 | + | 0.977053i | ||||
\(276\) | −4.68345 | + | 2.84167i | −0.281911 | + | 0.171049i | ||||
\(277\) | 4.16505 | − | 4.16505i | 0.250253 | − | 0.250253i | −0.570821 | − | 0.821074i | \(-0.693375\pi\) |
0.821074 | + | 0.570821i | \(0.193375\pi\) | |||||||
\(278\) | 17.9947 | + | 10.1297i | 1.07925 | + | 0.607541i | ||||
\(279\) | − | 7.21984i | − | 0.432240i | ||||||
\(280\) | 25.8454 | − | 4.88863i | 1.54456 | − | 0.292152i | ||||
\(281\) | 2.13811i | 0.127549i | 0.997964 | + | 0.0637745i | \(0.0203139\pi\) | ||||
−0.997964 | + | 0.0637745i | \(0.979686\pi\) | |||||||
\(282\) | −6.41873 | + | 11.4024i | −0.382230 | + | 0.679002i | ||||
\(283\) | 14.5899 | − | 14.5899i | 0.867280 | − | 0.867280i | −0.124891 | − | 0.992171i | \(-0.539858\pi\) |
0.992171 | + | 0.124891i | \(0.0398580\pi\) | |||||||
\(284\) | 9.23376 | + | 15.2185i | 0.547923 | + | 0.903049i | ||||
\(285\) | 18.9801 | − | 2.95189i | 1.12428 | − | 0.174855i | ||||
\(286\) | −15.4386 | + | 7.90046i | −0.912901 | + | 0.467164i | ||||
\(287\) | 22.2116 | + | 22.2116i | 1.31111 | + | 1.31111i | ||||
\(288\) | 5.03113 | + | 7.71245i | 0.296462 | + | 0.454460i | ||||
\(289\) | − | 0.583505i | − | 0.0343238i | ||||||
\(290\) | 2.59844 | + | 5.71134i | 0.152586 | + | 0.335381i | ||||
\(291\) | 6.02597 | 0.353249 | ||||||||
\(292\) | 11.5532 | + | 2.82765i | 0.676098 | + | 0.165475i | ||||
\(293\) | −11.2013 | + | 11.2013i | −0.654388 | + | 0.654388i | −0.954046 | − | 0.299659i | \(-0.903127\pi\) |
0.299659 | + | 0.954046i | \(0.403127\pi\) | |||||||
\(294\) | −4.59405 | − | 16.4279i | −0.267930 | − | 0.958096i | ||||
\(295\) | 11.0857 | + | 8.10160i | 0.645436 | + | 0.471694i | ||||
\(296\) | 5.16185 | − | 5.51044i | 0.300026 | − | 0.320288i | ||||
\(297\) | 13.0375 | + | 13.0375i | 0.756513 | + | 0.756513i | ||||
\(298\) | −16.2089 | − | 9.12445i | −0.938956 | − | 0.528565i | ||||
\(299\) | 1.67749 | + | 8.26222i | 0.0970120 | + | 0.477817i | ||||
\(300\) | 0.802332 | + | 11.6865i | 0.0463226 | + | 0.674719i | ||||
\(301\) | − | 3.22701i | − | 0.186002i | ||||||
\(302\) | −1.44672 | − | 0.814398i | −0.0832491 | − | 0.0468633i | ||||
\(303\) | −1.79671 | + | 1.79671i | −0.103218 | + | 0.103218i | ||||
\(304\) | −26.0174 | − | 13.5471i | −1.49220 | − | 0.776978i | ||||
\(305\) | −10.7176 | + | 14.6653i | −0.613688 | + | 0.839732i | ||||
\(306\) | 2.59979 | + | 9.29662i | 0.148620 | + | 0.531453i | ||||
\(307\) | −17.3623 | + | 17.3623i | −0.990919 | + | 0.990919i | −0.999959 | − | 0.00903979i | \(-0.997123\pi\) |
0.00903979 | + | 0.999959i | \(0.497123\pi\) | |||||||
\(308\) | −27.4797 | − | 6.72566i | −1.56580 | − | 0.383230i | ||||
\(309\) | − | 22.0646i | − | 1.25521i | ||||||
\(310\) | −12.7664 | + | 5.80822i | −0.725081 | + | 0.329884i | ||||
\(311\) | 4.44104i | 0.251828i | 0.992041 | + | 0.125914i | \(0.0401863\pi\) | ||||
−0.992041 | + | 0.125914i | \(0.959814\pi\) | |||||||
\(312\) | −11.6233 | + | 2.75783i | −0.658038 | + | 0.156131i | ||||
\(313\) | −0.961022 | − | 0.961022i | −0.0543202 | − | 0.0543202i | 0.679425 | − | 0.733745i | \(-0.262229\pi\) |
−0.733745 | + | 0.679425i | \(0.762229\pi\) | |||||||
\(314\) | 0.960912 | − | 0.268718i | 0.0542274 | − | 0.0151646i | ||||
\(315\) | −14.9585 | + | 2.32644i | −0.842818 | + | 0.131080i | ||||
\(316\) | 13.7328 | + | 22.6334i | 0.772529 | + | 1.27323i | ||||
\(317\) | 7.81668 | + | 7.81668i | 0.439028 | + | 0.439028i | 0.891685 | − | 0.452657i | \(-0.149524\pi\) |
−0.452657 | + | 0.891685i | \(0.649524\pi\) | |||||||
\(318\) | −0.892715 | − | 0.502535i | −0.0500609 | − | 0.0281807i | ||||
\(319\) | − | 6.74867i | − | 0.377853i | ||||||
\(320\) | 9.58999 | − | 15.1007i | 0.536097 | − | 0.844157i | ||||
\(321\) | 7.09921 | 0.396239 | ||||||||
\(322\) | −6.74648 | + | 11.9846i | −0.375966 | + | 0.667876i | ||||
\(323\) | −21.7438 | − | 21.7438i | −1.20986 | − | 1.20986i | ||||
\(324\) | 1.52165 | + | 2.50789i | 0.0845363 | + | 0.139327i | ||||
\(325\) | 17.3430 | + | 4.92158i | 0.962014 | + | 0.273000i | ||||
\(326\) | −3.51714 | − | 12.5770i | −0.194797 | − | 0.696575i | ||||
\(327\) | 5.45386 | − | 5.45386i | 0.301599 | − | 0.301599i | ||||
\(328\) | 21.3511 | − | 0.697386i | 1.17892 | − | 0.0385067i | ||||
\(329\) | 32.8501i | 1.81109i | ||||||||
\(330\) | 4.41970 | − | 11.7982i | 0.243296 | − | 0.649472i | ||||
\(331\) | −2.80448 | −0.154148 | −0.0770739 | − | 0.997025i | \(-0.524558\pi\) | ||||
−0.0770739 | + | 0.997025i | \(0.524558\pi\) | |||||||
\(332\) | 0.462629 | − | 1.89021i | 0.0253901 | − | 0.103739i | ||||
\(333\) | −3.07271 | + | 3.07271i | −0.168384 | + | 0.168384i | ||||
\(334\) | 10.8544 | − | 3.03541i | 0.593925 | − | 0.166090i | ||||
\(335\) | 1.84047 | + | 11.8339i | 0.100555 | + | 0.646552i | ||||
\(336\) | −17.2845 | − | 8.99992i | −0.942948 | − | 0.490986i | ||||
\(337\) | 5.84766 | − | 5.84766i | 0.318542 | − | 0.318542i | −0.529665 | − | 0.848207i | \(-0.677682\pi\) |
0.848207 | + | 0.529665i | \(0.177682\pi\) | |||||||
\(338\) | −2.05657 | + | 18.2694i | −0.111862 | + | 0.993724i | ||||
\(339\) | −13.9548 | −0.757920 | ||||||||
\(340\) | 14.3471 | − | 12.0760i | 0.778083 | − | 0.654913i | ||||
\(341\) | 15.0851 | 0.816903 | ||||||||
\(342\) | 14.7111 | + | 8.28132i | 0.795487 | + | 0.447803i | ||||
\(343\) | −9.69613 | − | 9.69613i | −0.523542 | − | 0.523542i | ||||
\(344\) | −1.60166 | − | 1.50034i | −0.0863559 | − | 0.0808931i | ||||
\(345\) | −4.94494 | − | 3.61383i | −0.266227 | − | 0.194562i | ||||
\(346\) | −1.49222 | − | 5.33605i | −0.0802222 | − | 0.286868i | ||||
\(347\) | −17.2927 | − | 17.2927i | −0.928322 | − | 0.928322i | 0.0692758 | − | 0.997598i | \(-0.477931\pi\) |
−0.997598 | + | 0.0692758i | \(0.977931\pi\) | |||||||
\(348\) | 1.10513 | − | 4.51535i | 0.0592414 | − | 0.242048i | ||||
\(349\) | −32.9448 | −1.76349 | −0.881747 | − | 0.471722i | \(-0.843633\pi\) | ||||
−0.881747 | + | 0.471722i | \(0.843633\pi\) | |||||||
\(350\) | 16.1475 | + | 24.5787i | 0.863122 | + | 1.31378i | ||||
\(351\) | 19.1550 | − | 3.88907i | 1.02242 | − | 0.207583i | ||||
\(352\) | −16.1143 | + | 10.5120i | −0.858897 | + | 0.560292i | ||||
\(353\) | 16.6561 | − | 16.6561i | 0.886515 | − | 0.886515i | −0.107672 | − | 0.994187i | \(-0.534340\pi\) |
0.994187 | + | 0.107672i | \(0.0343395\pi\) | |||||||
\(354\) | −2.73960 | − | 9.79656i | −0.145608 | − | 0.520681i | ||||
\(355\) | −11.7428 | + | 16.0682i | −0.623245 | + | 0.852809i | ||||
\(356\) | 18.2554 | + | 30.0874i | 0.967536 | + | 1.59463i | ||||
\(357\) | −14.4454 | − | 14.4454i | −0.764530 | − | 0.764530i | ||||
\(358\) | 11.2799 | + | 6.34977i | 0.596161 | + | 0.335596i | ||||
\(359\) | − | 9.59143i | − | 0.506216i | −0.967438 | − | 0.253108i | \(-0.918547\pi\) | ||
0.967438 | − | 0.253108i | \(-0.0814528\pi\) | |||||||
\(360\) | −5.80003 | + | 8.50601i | −0.305689 | + | 0.448306i | ||||
\(361\) | −34.7769 | −1.83037 | ||||||||
\(362\) | −14.3049 | − | 8.05266i | −0.751851 | − | 0.423239i | ||||
\(363\) | −0.470428 | + | 0.470428i | −0.0246911 | + | 0.0246911i | ||||
\(364\) | −22.0321 | + | 20.3478i | −1.15480 | + | 1.06651i | ||||
\(365\) | 2.04363 | + | 13.1401i | 0.106968 | + | 0.687785i | ||||
\(366\) | 12.9599 | − | 3.62421i | 0.677423 | − | 0.189440i | ||||
\(367\) | −5.20933 | − | 5.20933i | −0.271925 | − | 0.271925i | 0.557950 | − | 0.829875i | \(-0.311588\pi\) |
−0.829875 | + | 0.557950i | \(0.811588\pi\) | |||||||
\(368\) | 2.81166 | + | 8.92051i | 0.146568 | + | 0.465014i | ||||
\(369\) | −12.2946 | −0.640033 | ||||||||
\(370\) | 7.90522 | + | 2.96134i | 0.410973 | + | 0.153953i | ||||
\(371\) | −2.57190 | −0.133526 | ||||||||
\(372\) | 10.0930 | + | 2.47027i | 0.523299 | + | 0.128078i | ||||
\(373\) | 4.85688 | + | 4.85688i | 0.251480 | + | 0.251480i | 0.821577 | − | 0.570097i | \(-0.193095\pi\) |
−0.570097 | + | 0.821577i | \(0.693095\pi\) | |||||||
\(374\) | −19.4243 | + | 5.43198i | −1.00441 | + | 0.280881i | ||||
\(375\) | −11.7185 | + | 5.84787i | −0.605143 | + | 0.301983i | ||||
\(376\) | 16.3045 | + | 15.2731i | 0.840840 | + | 0.787650i | ||||
\(377\) | −5.96420 | − | 3.95108i | −0.307172 | − | 0.203491i | ||||
\(378\) | 27.7849 | + | 15.6409i | 1.42910 | + | 0.804481i | ||||
\(379\) | − | 21.2083i | − | 1.08940i | −0.838632 | − | 0.544699i | \(-0.816644\pi\) | ||
0.838632 | − | 0.544699i | \(-0.183356\pi\) | |||||||
\(380\) | 2.80851 | − | 32.6749i | 0.144074 | − | 1.67619i | ||||
\(381\) | −5.88741 | −0.301621 | ||||||||
\(382\) | 8.84453 | − | 15.7116i | 0.452526 | − | 0.803877i | ||||
\(383\) | 23.7062 | + | 23.7062i | 1.21133 | + | 1.21133i | 0.970590 | + | 0.240739i | \(0.0773898\pi\) |
0.240739 | + | 0.970590i | \(0.422610\pi\) | |||||||
\(384\) | −12.5031 | + | 4.39448i | −0.638045 | + | 0.224255i | ||||
\(385\) | −4.86084 | − | 31.2543i | −0.247731 | − | 1.59287i | ||||
\(386\) | 16.6435 | − | 4.65433i | 0.847131 | − | 0.236899i | ||||
\(387\) | 0.893115 | + | 0.893115i | 0.0453996 | + | 0.0453996i | ||||
\(388\) | 2.44592 | − | 9.99354i | 0.124173 | − | 0.507345i | ||||
\(389\) | 12.0053i | 0.608695i | 0.952561 | + | 0.304347i | \(0.0984384\pi\) | ||||
−0.952561 | + | 0.304347i | \(0.901562\pi\) | |||||||
\(390\) | −7.83925 | − | 10.8134i | −0.396956 | − | 0.547556i | ||||
\(391\) | 9.80505i | 0.495862i | ||||||||
\(392\) | −29.1090 | + | 0.950778i | −1.47023 | + | 0.0480215i | ||||
\(393\) | 9.06308 | + | 9.06308i | 0.457172 | + | 0.457172i | ||||
\(394\) | −3.36532 | − | 12.0341i | −0.169543 | − | 0.606270i | ||||
\(395\) | −17.4644 | + | 23.8971i | −0.878727 | + | 1.20239i | ||||
\(396\) | 9.46673 | − | 5.74392i | 0.475721 | − | 0.288643i | ||||
\(397\) | 6.52656 | + | 6.52656i | 0.327559 | + | 0.327559i | 0.851657 | − | 0.524099i | \(-0.175598\pi\) |
−0.524099 | + | 0.851657i | \(0.675598\pi\) | |||||||
\(398\) | −7.53435 | − | 4.24130i | −0.377663 | − | 0.212597i | ||||
\(399\) | −35.7264 | −1.78856 | ||||||||
\(400\) | 19.7066 | + | 3.41291i | 0.985332 | + | 0.170646i | ||||
\(401\) | − | 10.7459i | − | 0.536623i | −0.963332 | − | 0.268312i | \(-0.913534\pi\) | ||
0.963332 | − | 0.268312i | \(-0.0864657\pi\) | |||||||
\(402\) | 4.35241 | − | 7.73172i | 0.217078 | − | 0.385623i | ||||
\(403\) | 8.83173 | − | 13.3316i | 0.439940 | − | 0.664093i | ||||
\(404\) | 2.25040 | + | 3.70896i | 0.111962 | + | 0.184528i | ||||
\(405\) | −1.93513 | + | 2.64791i | −0.0961574 | + | 0.131576i | ||||
\(406\) | −3.14307 | − | 11.2393i | −0.155988 | − | 0.557799i | ||||
\(407\) | −6.42010 | − | 6.42010i | −0.318233 | − | 0.318233i | ||||
\(408\) | −13.8858 | + | 0.453548i | −0.687449 | + | 0.0224540i | ||||
\(409\) | 25.0704 | 1.23965 | 0.619827 | − | 0.784739i | \(-0.287203\pi\) | ||||
0.619827 | + | 0.784739i | \(0.287203\pi\) | |||||||
\(410\) | 9.89079 | + | 21.7398i | 0.488471 | + | 1.07365i | ||||
\(411\) | 1.30711 | 0.0644748 | ||||||||
\(412\) | −36.5922 | − | 8.95596i | −1.80277 | − | 0.441228i | ||||
\(413\) | −18.0582 | − | 18.0582i | −0.888588 | − | 0.888588i | ||||
\(414\) | −1.44971 | − | 5.18405i | −0.0712496 | − | 0.254782i | ||||
\(415\) | 2.14985 | − | 0.334356i | 0.105532 | − | 0.0164129i | ||||
\(416\) | −0.144237 | + | 20.3956i | −0.00707182 | + | 0.999975i | ||||
\(417\) | 12.0947 | − | 12.0947i | 0.592278 | − | 0.592278i | ||||
\(418\) | −17.3029 | + | 30.7374i | −0.846315 | + | 1.50341i | ||||
\(419\) | 23.3976 | 1.14305 | 0.571523 | − | 0.820586i | \(-0.306353\pi\) | ||||
0.571523 | + | 0.820586i | \(0.306353\pi\) | |||||||
\(420\) | 1.86582 | − | 21.7074i | 0.0910426 | − | 1.05921i | ||||
\(421\) | − | 18.3566i | − | 0.894645i | −0.894373 | − | 0.447322i | \(-0.852378\pi\) | ||
0.894373 | − | 0.447322i | \(-0.147622\pi\) | |||||||
\(422\) | 5.28062 | − | 9.38061i | 0.257056 | − | 0.456641i | ||||
\(423\) | −9.09167 | − | 9.09167i | −0.442052 | − | 0.442052i | ||||
\(424\) | −1.19576 | + | 1.27651i | −0.0580712 | + | 0.0619928i | ||||
\(425\) | 18.6277 | + | 9.62262i | 0.903578 | + | 0.466765i | ||||
\(426\) | 14.1996 | − | 3.97090i | 0.687972 | − | 0.192391i | ||||
\(427\) | 23.8892 | − | 23.8892i | 1.15608 | − | 1.15608i | ||||
\(428\) | 2.88155 | − | 11.7734i | 0.139285 | − | 0.569089i | ||||
\(429\) | 2.85823 | + | 14.0777i | 0.137996 | + | 0.679679i | ||||
\(430\) | 0.860744 | − | 2.29773i | 0.0415088 | − | 0.110806i | ||||
\(431\) | 11.6050 | 0.558995 | 0.279498 | − | 0.960146i | \(-0.409832\pi\) | ||||
0.279498 | + | 0.960146i | \(0.409832\pi\) | |||||||
\(432\) | 20.6811 | − | 6.51850i | 0.995022 | − | 0.313622i | ||||
\(433\) | 7.37080 | + | 7.37080i | 0.354218 | + | 0.354218i | 0.861676 | − | 0.507458i | \(-0.169415\pi\) |
−0.507458 | + | 0.861676i | \(0.669415\pi\) | |||||||
\(434\) | 25.1229 | − | 7.02560i | 1.20594 | − | 0.337240i | ||||
\(435\) | 5.13558 | − | 0.798715i | 0.246232 | − | 0.0382954i | ||||
\(436\) | −6.83104 | − | 11.2584i | −0.327147 | − | 0.539182i | ||||
\(437\) | 12.1249 | + | 12.1249i | 0.580015 | + | 0.580015i | ||||
\(438\) | 4.83284 | − | 8.58518i | 0.230922 | − | 0.410216i | ||||
\(439\) | 12.3992 | 0.591780 | 0.295890 | − | 0.955222i | \(-0.404384\pi\) | ||||
0.295890 | + | 0.955222i | \(0.404384\pi\) | |||||||
\(440\) | −17.7724 | − | 12.1186i | −0.847266 | − | 0.577729i | ||||
\(441\) | 16.7618 | 0.798182 | ||||||||
\(442\) | −6.57160 | + | 20.3466i | −0.312579 | + | 0.967790i | ||||
\(443\) | −7.43297 | + | 7.43297i | −0.353151 | + | 0.353151i | −0.861281 | − | 0.508130i | \(-0.830337\pi\) |
0.508130 | + | 0.861281i | \(0.330337\pi\) | |||||||
\(444\) | −3.24419 | − | 5.34685i | −0.153962 | − | 0.253750i | ||||
\(445\) | −23.2159 | + | 31.7672i | −1.10054 | + | 1.50591i | ||||
\(446\) | 4.04365 | + | 14.4597i | 0.191472 | + | 0.684688i | ||||
\(447\) | −10.8944 | + | 10.8944i | −0.515286 | + | 0.515286i | ||||
\(448\) | −21.9413 | + | 25.0118i | −1.03663 | + | 1.18170i | ||||
\(449\) | 20.8335 | 0.983195 | 0.491598 | − | 0.870822i | \(-0.336413\pi\) | ||||
0.491598 | + | 0.870822i | \(0.336413\pi\) | |||||||
\(450\) | −11.2715 | − | 2.33341i | −0.531342 | − | 0.109998i | ||||
\(451\) | − | 25.6883i | − | 1.20962i | ||||||
\(452\) | −5.66421 | + | 23.1428i | −0.266422 | + | 1.08855i | ||||
\(453\) | −0.972372 | + | 0.972372i | −0.0456860 | + | 0.0456860i | ||||
\(454\) | −23.0297 | + | 6.44024i | −1.08084 | + | 0.302255i | ||||
\(455\) | −30.4671 | − | 14.0023i | −1.42832 | − | 0.656440i | ||||
\(456\) | −16.6104 | + | 17.7321i | −0.777851 | + | 0.830381i | ||||
\(457\) | −21.5022 | − | 21.5022i | −1.00583 | − | 1.00583i | −0.999983 | − | 0.00584703i | \(-0.998139\pi\) |
−0.00584703 | − | 0.999983i | \(-0.501861\pi\) | |||||||
\(458\) | 2.36544 | + | 1.33158i | 0.110530 | + | 0.0622204i | ||||
\(459\) | 22.7318 | 1.06103 | ||||||||
\(460\) | −8.00036 | + | 6.73391i | −0.373019 | + | 0.313970i | ||||
\(461\) | − | 0.539391i | − | 0.0251219i | −0.999921 | − | 0.0125610i | \(-0.996002\pi\) | ||
0.999921 | − | 0.0125610i | \(-0.00399838\pi\) | |||||||
\(462\) | −11.4951 | + | 20.4202i | −0.534800 | + | 0.950032i | ||||
\(463\) | 17.7638 | + | 17.7638i | 0.825555 | + | 0.825555i | 0.986898 | − | 0.161344i | \(-0.0515827\pi\) |
−0.161344 | + | 0.986898i | \(0.551583\pi\) | |||||||
\(464\) | −7.03974 | − | 3.66554i | −0.326812 | − | 0.170168i | ||||
\(465\) | 1.78534 | + | 11.4794i | 0.0827932 | + | 0.532345i | ||||
\(466\) | 10.1015 | + | 36.1222i | 0.467945 | + | 1.67333i | ||||
\(467\) | 3.70108 | + | 3.70108i | 0.171266 | + | 0.171266i | 0.787535 | − | 0.616270i | \(-0.211357\pi\) |
−0.616270 | + | 0.787535i | \(0.711357\pi\) | |||||||
\(468\) | 0.466162 | − | 11.7292i | 0.0215484 | − | 0.542180i | ||||
\(469\) | − | 22.2750i | − | 1.02856i | ||||||
\(470\) | −8.76215 | + | 23.3903i | −0.404168 | + | 1.07891i | ||||
\(471\) | − | 0.826463i | − | 0.0380814i | ||||||
\(472\) | −17.3587 | + | 0.566983i | −0.799000 | + | 0.0260975i | ||||
\(473\) | −1.86607 | + | 1.86607i | −0.0858019 | + | 0.0858019i | ||||
\(474\) | 21.1181 | − | 5.90566i | 0.969987 | − | 0.271256i | ||||
\(475\) | 34.9345 | − | 11.1358i | 1.60290 | − | 0.510944i | ||||
\(476\) | −29.8197 | + | 18.0930i | −1.36678 | + | 0.829293i | ||||
\(477\) | 0.711804 | − | 0.711804i | 0.0325913 | − | 0.0325913i | ||||
\(478\) | −12.5325 | + | 22.2631i | −0.573224 | + | 1.01829i | ||||
\(479\) | 17.2329i | 0.787393i | 0.919240 | + | 0.393697i | \(0.128804\pi\) | ||||
−0.919240 | + | 0.393697i | \(0.871196\pi\) | |||||||
\(480\) | −9.90655 | − | 11.0185i | −0.452170 | − | 0.502925i | ||||
\(481\) | −9.43255 | + | 1.91511i | −0.430087 | + | 0.0873214i | ||||
\(482\) | 12.5638 | − | 22.3187i | 0.572267 | − | 1.01659i | ||||
\(483\) | 8.05513 | + | 8.05513i | 0.366521 | + | 0.366521i | ||||
\(484\) | 0.589218 | + | 0.971109i | 0.0267826 | + | 0.0441413i | ||||
\(485\) | 11.3663 | − | 1.76774i | 0.516115 | − | 0.0802691i | ||||
\(486\) | −19.8097 | + | 5.53976i | −0.898586 | + | 0.251289i | ||||
\(487\) | −21.1196 | + | 21.1196i | −0.957019 | + | 0.957019i | −0.999114 | − | 0.0420947i | \(-0.986597\pi\) |
0.0420947 | + | 0.999114i | \(0.486597\pi\) | |||||||
\(488\) | −0.750061 | − | 22.9638i | −0.0339537 | − | 1.03952i | ||||
\(489\) | −10.8173 | −0.489173 | ||||||||
\(490\) | −13.4846 | − | 29.6389i | −0.609170 | − | 1.33895i | ||||
\(491\) | 16.7896i | 0.757704i | 0.925457 | + | 0.378852i | \(0.123681\pi\) | ||||
−0.925457 | + | 0.378852i | \(0.876319\pi\) | |||||||
\(492\) | 4.20662 | − | 17.1874i | 0.189649 | − | 0.774867i | ||||
\(493\) | −5.88339 | − | 5.88339i | −0.264975 | − | 0.264975i | ||||
\(494\) | 17.0342 | + | 33.2872i | 0.766406 | + | 1.49766i | ||||
\(495\) | 9.99529 | + | 7.30470i | 0.449255 | + | 0.328322i | ||||
\(496\) | 8.19346 | − | 15.7357i | 0.367897 | − | 0.706554i | ||||
\(497\) | 26.1744 | − | 26.1744i | 1.17408 | − | 1.17408i | ||||
\(498\) | −1.40462 | − | 0.790699i | −0.0629424 | − | 0.0354321i | ||||
\(499\) | 33.8593i | 1.51575i | 0.652399 | + | 0.757876i | \(0.273763\pi\) | ||||
−0.652399 | + | 0.757876i | \(0.726237\pi\) | |||||||
\(500\) | 4.94164 | + | 21.8078i | 0.220997 | + | 0.975274i | ||||
\(501\) | − | 9.33566i | − | 0.417086i | ||||||
\(502\) | 4.48293 | − | 7.96359i | 0.200083 | − | 0.355432i | ||||
\(503\) | 9.11180 | − | 9.11180i | 0.406275 | − | 0.406275i | −0.474162 | − | 0.880437i | \(-0.657249\pi\) |
0.880437 | + | 0.474162i | \(0.157249\pi\) | |||||||
\(504\) | 13.0909 | − | 13.9750i | 0.583116 | − | 0.622495i | ||||
\(505\) | −2.86190 | + | 3.91605i | −0.127353 | + | 0.174262i | ||||
\(506\) | 10.8315 | − | 3.02902i | 0.481520 | − | 0.134657i | ||||
\(507\) | 14.1147 | + | 5.71598i | 0.626856 | + | 0.253856i | ||||
\(508\) | −2.38968 | + | 9.76375i | −0.106025 | + | 0.433196i | ||||
\(509\) | 28.4383 | 1.26051 | 0.630253 | − | 0.776390i | \(-0.282951\pi\) | ||||
0.630253 | + | 0.776390i | \(0.282951\pi\) | |||||||
\(510\) | −6.43251 | − | 14.1386i | −0.284836 | − | 0.626066i | ||||
\(511\) | − | 24.7338i | − | 1.09416i | ||||||
\(512\) | 2.21289 | + | 22.5190i | 0.0977967 | + | 0.995206i | ||||
\(513\) | 28.1102 | − | 28.1102i | 1.24110 | − | 1.24110i | ||||
\(514\) | −20.1938 | + | 5.64716i | −0.890709 | + | 0.249086i | ||||
\(515\) | −6.47274 | − | 41.6185i | −0.285223 | − | 1.83393i | ||||
\(516\) | −1.55412 | + | 0.942956i | −0.0684161 | + | 0.0415113i | ||||
\(517\) | 18.9961 | − | 18.9961i | 0.835446 | − | 0.835446i | ||||
\(518\) | −13.6822 | − | 7.70210i | −0.601161 | − | 0.338411i | ||||
\(519\) | −4.58944 | −0.201454 | ||||||||
\(520\) | −21.1149 | + | 8.61159i | −0.925951 | + | 0.377643i | ||||
\(521\) | −16.5062 | −0.723149 | −0.361574 | − | 0.932343i | \(-0.617761\pi\) | ||||
−0.361574 | + | 0.932343i | \(0.617761\pi\) | |||||||
\(522\) | 3.98050 | + | 2.24074i | 0.174222 | + | 0.0980745i | ||||
\(523\) | −26.6496 | + | 26.6496i | −1.16531 | + | 1.16531i | −0.182010 | + | 0.983297i | \(0.558260\pi\) |
−0.983297 | + | 0.182010i | \(0.941740\pi\) | |||||||
\(524\) | 18.7090 | − | 11.3516i | 0.817306 | − | 0.495899i | ||||
\(525\) | 23.2085 | − | 7.39798i | 1.01290 | − | 0.322874i | ||||
\(526\) | 12.5853 | − | 3.51946i | 0.548744 | − | 0.153456i | ||||
\(527\) | 13.1510 | − | 13.1510i | 0.572865 | − | 0.572865i | ||||
\(528\) | 4.79070 | + | 15.1994i | 0.208488 | + | 0.661468i | ||||
\(529\) | 17.5324i | 0.762280i | ||||||||
\(530\) | −1.83127 | − | 0.686005i | −0.0795453 | − | 0.0297982i | ||||
\(531\) | 9.99568 | 0.433776 | ||||||||
\(532\) | −14.5012 | + | 59.2490i | −0.628708 | + | 2.56877i | ||||
\(533\) | −22.7023 | − | 15.0395i | −0.983346 | − | 0.651434i | ||||
\(534\) | 28.0730 | − | 7.85059i | 1.21484 | − | 0.339728i | ||||
\(535\) | 13.3906 | − | 2.08258i | 0.578927 | − | 0.0900379i | ||||
\(536\) | −11.0557 | − | 10.3564i | −0.477535 | − | 0.447327i | ||||
\(537\) | 7.58148 | − | 7.58148i | 0.327165 | − | 0.327165i | ||||
\(538\) | 20.1555 | − | 35.8047i | 0.868966 | − | 1.54365i | ||||
\(539\) | 35.0220i | 1.50851i | ||||||||
\(540\) | 15.6118 | + | 18.5479i | 0.671823 | + | 0.798174i | ||||
\(541\) | − | 5.74827i | − | 0.247137i | −0.992336 | − | 0.123569i | \(-0.960566\pi\) | ||
0.992336 | − | 0.123569i | \(-0.0394339\pi\) | |||||||
\(542\) | −7.90001 | − | 4.44714i | −0.339335 | − | 0.191021i | ||||
\(543\) | −9.61469 | + | 9.61469i | −0.412606 | + | 0.412606i | ||||
\(544\) | −4.88404 | + | 23.2125i | −0.209401 | + | 0.995226i | ||||
\(545\) | 8.68722 | − | 11.8870i | 0.372120 | − | 0.509185i | ||||
\(546\) | 11.3166 | + | 22.1141i | 0.484305 | + | 0.946397i | ||||
\(547\) | 5.92809 | + | 5.92809i | 0.253467 | + | 0.253467i | 0.822390 | − | 0.568924i | \(-0.192640\pi\) |
−0.568924 | + | 0.822390i | \(0.692640\pi\) | |||||||
\(548\) | 0.530551 | − | 2.16772i | 0.0226640 | − | 0.0926004i | ||||
\(549\) | 13.2233i | 0.564355i | ||||||||
\(550\) | 4.87542 | − | 23.5505i | 0.207889 | − | 1.00420i | ||||
\(551\) | −14.5508 | −0.619886 | ||||||||
\(552\) | 7.74310 | − | 0.252911i | 0.329568 | − | 0.0107646i | ||||
\(553\) | 38.9276 | − | 38.9276i | 1.65537 | − | 1.65537i | ||||
\(554\) | −8.02231 | + | 2.24343i | −0.340835 | + | 0.0953142i | ||||
\(555\) | 4.12573 | − | 5.64538i | 0.175127 | − | 0.239633i | ||||
\(556\) | −15.1487 | − | 24.9671i | −0.642450 | − | 1.05884i | ||||
\(557\) | −19.7561 | − | 19.7561i | −0.837091 | − | 0.837091i | 0.151384 | − | 0.988475i | \(-0.451627\pi\) |
−0.988475 | + | 0.151384i | \(0.951627\pi\) | |||||||
\(558\) | −5.00866 | + | 8.89750i | −0.212033 | + | 0.376661i | ||||
\(559\) | 0.556645 | + | 2.74166i | 0.0235436 | + | 0.115960i | ||||
\(560\) | −35.2424 | − | 11.9053i | −1.48927 | − | 0.503089i | ||||
\(561\) | 16.7065i | 0.705349i | ||||||||
\(562\) | 1.48328 | − | 2.63494i | 0.0625686 | − | 0.111148i | ||||
\(563\) | −18.8438 | + | 18.8438i | −0.794170 | + | 0.794170i | −0.982169 | − | 0.187999i | \(-0.939800\pi\) |
0.187999 | + | 0.982169i | \(0.439800\pi\) | |||||||
\(564\) | 15.8205 | − | 9.59904i | 0.666162 | − | 0.404192i | ||||
\(565\) | −26.3217 | + | 4.09370i | −1.10736 | + | 0.172223i | ||||
\(566\) | −28.1017 | + | 7.85860i | −1.18120 | + | 0.330322i | ||||
\(567\) | 4.31335 | − | 4.31335i | 0.181144 | − | 0.181144i | ||||
\(568\) | −0.821811 | − | 25.1605i | −0.0344824 | − | 1.05571i | ||||
\(569\) | 6.29158i | 0.263757i | 0.991266 | + | 0.131878i | \(0.0421009\pi\) | ||||
−0.991266 | + | 0.131878i | \(0.957899\pi\) | |||||||
\(570\) | −25.4383 | − | 9.52933i | −1.06549 | − | 0.399140i | ||||
\(571\) | 1.50121i | 0.0628236i | 0.999507 | + | 0.0314118i | \(0.0100003\pi\) | ||||
−0.999507 | + | 0.0314118i | \(0.990000\pi\) | |||||||
\(572\) | 24.5068 | + | 0.973997i | 1.02468 | + | 0.0407248i | ||||
\(573\) | −10.5602 | − | 10.5602i | −0.441157 | − | 0.441157i | ||||
\(574\) | −11.9639 | − | 42.7818i | −0.499362 | − | 1.78568i | ||||
\(575\) | −10.3873 | − | 5.36584i | −0.433182 | − | 0.223771i | ||||
\(576\) | −0.849801 | − | 12.9948i | −0.0354084 | − | 0.541452i | ||||
\(577\) | 28.7928 | + | 28.7928i | 1.19866 | + | 1.19866i | 0.974569 | + | 0.224089i | \(0.0719407\pi\) |
0.224089 | + | 0.974569i | \(0.428059\pi\) | |||||||
\(578\) | −0.404798 | + | 0.719093i | −0.0168374 | + | 0.0299103i | ||||
\(579\) | − | 14.3148i | − | 0.594902i | ||||||
\(580\) | 0.759921 | − | 8.84110i | 0.0315540 | − | 0.367107i | ||||
\(581\) | −4.04668 | −0.167885 | ||||||||
\(582\) | −7.42621 | − | 4.18043i | −0.307826 | − | 0.173284i | ||||
\(583\) | 1.48724 | + | 1.48724i | 0.0615951 | + | 0.0615951i | ||||
\(584\) | −12.2761 | − | 11.4995i | −0.507989 | − | 0.475854i | ||||
\(585\) | 12.3075 | − | 4.55682i | 0.508851 | − | 0.188401i | ||||
\(586\) | 21.5749 | − | 6.03339i | 0.891250 | − | 0.249237i | ||||
\(587\) | 12.4530 | − | 12.4530i | 0.513991 | − | 0.513991i | −0.401756 | − | 0.915747i | \(-0.631600\pi\) |
0.915747 | + | 0.401756i | \(0.131600\pi\) | |||||||
\(588\) | −5.73507 | + | 23.4323i | −0.236510 | + | 0.966332i | ||||
\(589\) | − | 32.5250i | − | 1.34017i | ||||||
\(590\) | −8.04133 | − | 17.6747i | −0.331056 | − | 0.727657i | ||||
\(591\) | −10.3503 | −0.425755 | ||||||||
\(592\) | −10.1841 | + | 3.20993i | −0.418563 | + | 0.131927i | ||||
\(593\) | −11.1783 | + | 11.1783i | −0.459037 | + | 0.459037i | −0.898339 | − | 0.439303i | \(-0.855226\pi\) |
0.439303 | + | 0.898339i | \(0.355226\pi\) | |||||||
\(594\) | −7.02243 | − | 25.1116i | −0.288134 | − | 1.03034i | ||||
\(595\) | −31.4846 | − | 23.0094i | −1.29074 | − | 0.943294i | ||||
\(596\) | 13.6454 | + | 22.4894i | 0.558936 | + | 0.921200i | ||||
\(597\) | −5.06402 | + | 5.06402i | −0.207256 | + | 0.207256i | ||||
\(598\) | 3.66451 | − | 11.3458i | 0.149853 | − | 0.463966i | ||||
\(599\) | 2.19935 | 0.0898631 | 0.0449316 | − | 0.998990i | \(-0.485693\pi\) | ||||
0.0449316 | + | 0.998990i | \(0.485693\pi\) | |||||||
\(600\) | 7.11855 | − | 14.9586i | 0.290614 | − | 0.610684i | ||||
\(601\) | −46.4120 | −1.89319 | −0.946593 | − | 0.322432i | \(-0.895500\pi\) | ||||
−0.946593 | + | 0.322432i | \(0.895500\pi\) | |||||||
\(602\) | −2.23869 | + | 3.97687i | −0.0912423 | + | 0.162085i | ||||
\(603\) | 6.16487 | + | 6.16487i | 0.251053 | + | 0.251053i | ||||
\(604\) | 1.21791 | + | 2.00728i | 0.0495560 | + | 0.0816749i | ||||
\(605\) | −0.749325 | + | 1.02533i | −0.0304644 | + | 0.0416856i | ||||
\(606\) | 3.46065 | − | 0.967766i | 0.140579 | − | 0.0393128i | ||||
\(607\) | 18.8555 | + | 18.8555i | 0.765320 | + | 0.765320i | 0.977279 | − | 0.211958i | \(-0.0679841\pi\) |
−0.211958 | + | 0.977279i | \(0.567984\pi\) | |||||||
\(608\) | 22.6650 | + | 34.7442i | 0.919186 | + | 1.40906i | ||||
\(609\) | −9.66675 | −0.391717 | ||||||||
\(610\) | 23.3819 | − | 10.6379i | 0.946704 | − | 0.430714i | ||||
\(611\) | −5.66650 | − | 27.9094i | −0.229242 | − | 1.12909i | ||||
\(612\) | 3.24550 | − | 13.2604i | 0.131191 | − | 0.536021i | ||||
\(613\) | −15.9427 | + | 15.9427i | −0.643918 | + | 0.643918i | −0.951516 | − | 0.307598i | \(-0.900475\pi\) |
0.307598 | + | 0.951516i | \(0.400475\pi\) | |||||||
\(614\) | 33.4416 | − | 9.35191i | 1.34959 | − | 0.377412i | ||||
\(615\) | 19.5482 | − | 3.04025i | 0.788261 | − | 0.122595i | ||||
\(616\) | 29.1992 | + | 27.3521i | 1.17647 | + | 1.10205i | ||||
\(617\) | −23.2627 | − | 23.2627i | −0.936521 | − | 0.936521i | 0.0615814 | − | 0.998102i | \(-0.480386\pi\) |
−0.998102 | + | 0.0615814i | \(0.980386\pi\) | |||||||
\(618\) | −15.3070 | + | 27.1917i | −0.615737 | + | 1.09381i | ||||
\(619\) | − | 25.4127i | − | 1.02142i | −0.859753 | − | 0.510711i | \(-0.829382\pi\) | ||
0.859753 | − | 0.510711i | \(-0.170618\pi\) | |||||||
\(620\) | 19.7622 | + | 1.69863i | 0.793671 | + | 0.0682185i | ||||
\(621\) | −12.6759 | −0.508666 | ||||||||
\(622\) | 3.08090 | − | 5.47299i | 0.123533 | − | 0.219447i | ||||
\(623\) | 51.7477 | − | 51.7477i | 2.07323 | − | 2.07323i | ||||
\(624\) | 16.2374 | + | 4.66482i | 0.650015 | + | 0.186742i | ||||
\(625\) | −20.3882 | + | 14.4680i | −0.815526 | + | 0.578720i | ||||
\(626\) | 0.517638 | + | 1.85103i | 0.0206890 | + | 0.0739819i | ||||
\(627\) | 20.6593 | + | 20.6593i | 0.825053 | + | 0.825053i | ||||
\(628\) | −1.37062 | − | 0.335459i | −0.0546935 | − | 0.0133863i | ||||
\(629\) | −11.1939 | −0.446330 | ||||||||
\(630\) | 20.0484 | + | 7.51024i | 0.798746 | + | 0.299215i | ||||
\(631\) | −13.3790 | −0.532611 | −0.266306 | − | 0.963889i | \(-0.585803\pi\) | ||||
−0.266306 | + | 0.963889i | \(0.585803\pi\) | |||||||
\(632\) | −1.22223 | − | 37.4196i | −0.0486176 | − | 1.48847i | ||||
\(633\) | −6.30493 | − | 6.30493i | −0.250599 | − | 0.250599i | ||||
\(634\) | −4.21032 | − | 15.0557i | −0.167213 | − | 0.597939i | ||||
\(635\) | −11.1049 | + | 1.72710i | −0.440685 | + | 0.0685378i | ||||
\(636\) | 0.751527 | + | 1.23862i | 0.0298000 | + | 0.0491143i | ||||
\(637\) | 30.9511 | + | 20.5040i | 1.22633 | + | 0.812400i | ||||
\(638\) | −4.68179 | + | 8.31684i | −0.185354 | + | 0.329267i | ||||
\(639\) | 14.4882i | 0.573144i | ||||||||
\(640\) | −22.2943 | + | 11.9567i | −0.881260 | + | 0.472632i | ||||
\(641\) | 11.8619 | 0.468515 | 0.234257 | − | 0.972175i | \(-0.424734\pi\) | ||||
0.234257 | + | 0.972175i | \(0.424734\pi\) | |||||||
\(642\) | −8.74884 | − | 4.92497i | −0.345289 | − | 0.194373i | ||||
\(643\) | −9.06620 | − | 9.06620i | −0.357536 | − | 0.357536i | 0.505368 | − | 0.862904i | \(-0.331357\pi\) |
−0.862904 | + | 0.505368i | \(0.831357\pi\) | |||||||
\(644\) | 16.6283 | − | 10.0892i | 0.655246 | − | 0.397569i | ||||
\(645\) | −1.64089 | − | 1.19918i | −0.0646099 | − | 0.0472178i | ||||
\(646\) | 11.7119 | + | 41.8808i | 0.460800 | + | 1.64778i | ||||
\(647\) | −9.84858 | − | 9.84858i | −0.387188 | − | 0.387188i | 0.486495 | − | 0.873683i | \(-0.338275\pi\) |
−0.873683 | + | 0.486495i | \(0.838275\pi\) | |||||||
\(648\) | −0.135428 | − | 4.14626i | −0.00532012 | − | 0.162881i | ||||
\(649\) | 20.8849i | 0.819804i | ||||||||
\(650\) | −17.9586 | − | 18.0966i | −0.704396 | − | 0.709808i | ||||
\(651\) | − | 21.6078i | − | 0.846876i | ||||||
\(652\) | −4.39069 | + | 17.9395i | −0.171953 | + | 0.702563i | ||||
\(653\) | 15.5910 | + | 15.5910i | 0.610124 | + | 0.610124i | 0.942978 | − | 0.332854i | \(-0.108012\pi\) |
−0.332854 | + | 0.942978i | \(0.608012\pi\) | |||||||
\(654\) | −10.5047 | + | 2.93763i | −0.410766 | + | 0.114870i | ||||
\(655\) | 19.7536 | + | 14.4362i | 0.771836 | + | 0.564069i | ||||
\(656\) | −26.7963 | − | 13.9526i | −1.04622 | − | 0.544758i | ||||
\(657\) | 6.84537 | + | 6.84537i | 0.267063 | + | 0.267063i | ||||
\(658\) | 22.7893 | − | 40.4834i | 0.888419 | − | 1.57821i | ||||
\(659\) | 21.0850 | 0.821357 | 0.410678 | − | 0.911780i | \(-0.365292\pi\) | ||||
0.410678 | + | 0.911780i | \(0.365292\pi\) | |||||||
\(660\) | −13.6316 | + | 11.4737i | −0.530608 | + | 0.446612i | ||||
\(661\) | − | 45.4347i | − | 1.76721i | −0.468237 | − | 0.883603i | \(-0.655111\pi\) | ||
0.468237 | − | 0.883603i | \(-0.344889\pi\) | |||||||
\(662\) | 3.45615 | + | 1.94556i | 0.134327 | + | 0.0756165i | ||||
\(663\) | 14.7645 | + | 9.78100i | 0.573407 | + | 0.379863i | ||||
\(664\) | −1.88143 | + | 2.00849i | −0.0730138 | + | 0.0779445i | ||||
\(665\) | −67.3875 | + | 10.4805i | −2.61318 | + | 0.406416i | ||||
\(666\) | 5.91836 | − | 1.65506i | 0.229332 | − | 0.0641324i | ||||
\(667\) | 3.28074 | + | 3.28074i | 0.127031 | + | 0.127031i | ||||
\(668\) | −15.4824 | − | 3.78932i | −0.599031 | − | 0.146613i | ||||
\(669\) | 12.4366 | 0.480825 | ||||||||
\(670\) | 5.94143 | − | 15.8605i | 0.229537 | − | 0.612743i | ||||
\(671\) | −27.6286 | −1.06659 | ||||||||
\(672\) | 15.0573 | + | 23.0821i | 0.580849 | + | 0.890411i | ||||
\(673\) | 23.8509 | + | 23.8509i | 0.919385 | + | 0.919385i | 0.996985 | − | 0.0775994i | \(-0.0247255\pi\) |
−0.0775994 | + | 0.996985i | \(0.524726\pi\) | |||||||
\(674\) | −11.2632 | + | 3.14974i | −0.433842 | + | 0.121323i | ||||
\(675\) | −12.4400 | + | 24.0818i | −0.478818 | + | 0.926909i | ||||
\(676\) | 15.2086 | − | 21.0879i | 0.584945 | − | 0.811073i | ||||
\(677\) | 29.0222 | − | 29.0222i | 1.11541 | − | 1.11541i | 0.123009 | − | 0.992406i | \(-0.460746\pi\) |
0.992406 | − | 0.123009i | \(-0.0392545\pi\) | |||||||
\(678\) | 17.1974 | + | 9.68093i | 0.660464 | + | 0.371794i | ||||
\(679\) | −21.3948 | −0.821057 | ||||||||
\(680\) | −26.0585 | + | 4.92895i | −0.999298 | + | 0.189016i | ||||
\(681\) | 19.8075i | 0.759023i | ||||||||
\(682\) | −18.5904 | − | 10.4651i | −0.711862 | − | 0.400728i | ||||
\(683\) | 12.9148 | + | 12.9148i | 0.494172 | + | 0.494172i | 0.909618 | − | 0.415446i | \(-0.136375\pi\) |
−0.415446 | + | 0.909618i | \(0.636375\pi\) | |||||||
\(684\) | −12.3845 | − | 20.4113i | −0.473533 | − | 0.780445i | ||||
\(685\) | 2.46548 | − | 0.383445i | 0.0942011 | − | 0.0146507i | ||||
\(686\) | 5.22265 | + | 18.6758i | 0.199402 | + | 0.713044i | ||||
\(687\) | 1.58987 | − | 1.58987i | 0.0606573 | − | 0.0606573i | ||||
\(688\) | 0.932998 | + | 2.96011i | 0.0355702 | + | 0.112853i | ||||
\(689\) | 2.18508 | − | 0.443641i | 0.0832450 | − | 0.0169014i | ||||
\(690\) | 3.58695 | + | 7.88406i | 0.136553 | + | 0.300141i | ||||
\(691\) | −46.8753 | −1.78322 | −0.891611 | − | 0.452803i | \(-0.850424\pi\) | ||||
−0.891611 | + | 0.452803i | \(0.850424\pi\) | |||||||
\(692\) | −1.86284 | + | 7.61118i | −0.0708146 | + | 0.289334i | ||||
\(693\) | −16.2820 | − | 16.2820i | −0.618501 | − | 0.618501i | ||||
\(694\) | 9.31442 | + | 33.3076i | 0.353571 | + | 1.26434i | ||||
\(695\) | 19.2651 | − | 26.3611i | 0.730766 | − | 0.999935i | ||||
\(696\) | −4.49439 | + | 4.79790i | −0.170359 | + | 0.181864i | ||||
\(697\) | −22.3947 | − | 22.3947i | −0.848260 | − | 0.848260i | ||||
\(698\) | 40.6001 | + | 22.8550i | 1.53674 | + | 0.865074i | ||||
\(699\) | 31.0681 | 1.17510 | ||||||||
\(700\) | −2.84863 | − | 41.4921i | −0.107668 | − | 1.56825i | ||||
\(701\) | −28.4061 | −1.07288 | −0.536441 | − | 0.843938i | \(-0.680232\pi\) | ||||
−0.536441 | + | 0.843938i | \(0.680232\pi\) | |||||||
\(702\) | −26.3040 | − | 8.49572i | −0.992779 | − | 0.320650i | ||||
\(703\) | −13.8424 | + | 13.8424i | −0.522077 | + | 0.522077i | ||||
\(704\) | 27.1513 | − | 1.77557i | 1.02330 | − | 0.0669192i | ||||
\(705\) | 16.7038 | + | 12.2074i | 0.629101 | + | 0.459756i | ||||
\(706\) | −32.0814 | + | 8.97152i | −1.20740 | + | 0.337648i | ||||
\(707\) | 6.37910 | − | 6.37910i | 0.239911 | − | 0.239911i | ||||
\(708\) | −3.42003 | + | 13.9735i | −0.128533 | + | 0.525157i | ||||
\(709\) | 17.7546 | 0.666789 | 0.333395 | − | 0.942787i | \(-0.391806\pi\) | ||||
0.333395 | + | 0.942787i | \(0.391806\pi\) | |||||||
\(710\) | 25.6185 | − | 11.6555i | 0.961446 | − | 0.437422i | ||||
\(711\) | 21.5473i | 0.808089i | ||||||||
\(712\) | −1.62475 | − | 49.7431i | −0.0608899 | − | 1.86420i | ||||
\(713\) | −7.33333 | + | 7.33333i | −0.274636 | + | 0.274636i | ||||
\(714\) | 7.78075 | + | 27.8233i | 0.291187 | + | 1.04126i | ||||
\(715\) | 9.52098 | + | 25.7151i | 0.356065 | + | 0.961691i | ||||
\(716\) | −9.49591 | − | 15.6505i | −0.354879 | − | 0.584887i | ||||
\(717\) | 14.9635 | + | 14.9635i | 0.558823 | + | 0.558823i | ||||
\(718\) | −6.65391 | + | 11.8202i | −0.248322 | + | 0.441125i | ||||
\(719\) | −37.6027 | −1.40234 | −0.701172 | − | 0.712992i | \(-0.747340\pi\) | ||||
−0.701172 | + | 0.712992i | \(0.747340\pi\) | |||||||
\(720\) | 13.0487 | − | 6.45885i | 0.486296 | − | 0.240707i | ||||
\(721\) | 78.3389i | 2.91749i | ||||||||
\(722\) | 42.8580 | + | 24.1260i | 1.59501 | + | 0.897877i | ||||
\(723\) | −15.0009 | − | 15.0009i | −0.557890 | − | 0.557890i | ||||
\(724\) | 12.0425 | + | 19.8477i | 0.447557 | + | 0.737634i | ||||
\(725\) | 9.45249 | − | 3.01309i | 0.351057 | − | 0.111903i | ||||
\(726\) | 0.906093 | − | 0.253388i | 0.0336283 | − | 0.00940411i | ||||
\(727\) | −19.3815 | − | 19.3815i | −0.718821 | − | 0.718821i | 0.249543 | − | 0.968364i | \(-0.419720\pi\) |
−0.968364 | + | 0.249543i | \(0.919720\pi\) | |||||||
\(728\) | 41.2677 | − | 9.79150i | 1.52948 | − | 0.362897i | ||||
\(729\) | 21.4381i | 0.794004i | ||||||||
\(730\) | 6.59727 | − | 17.6112i | 0.244176 | − | 0.651820i | ||||
\(731\) | 3.25362i | 0.120340i | ||||||||
\(732\) | −18.4856 | − | 4.52435i | −0.683246 | − | 0.167225i | ||||
\(733\) | 9.74025 | − | 9.74025i | 0.359764 | − | 0.359764i | −0.503962 | − | 0.863726i | \(-0.668125\pi\) |
0.863726 | + | 0.503962i | \(0.168125\pi\) | |||||||
\(734\) | 2.80592 | + | 10.0337i | 0.103568 | + | 0.370351i | ||||
\(735\) | −26.6510 | + | 4.14491i | −0.983036 | + | 0.152887i | ||||
\(736\) | 2.72347 | − | 12.9439i | 0.100389 | − | 0.477119i | ||||
\(737\) | −12.8808 | + | 12.8808i | −0.474472 | + | 0.474472i | ||||
\(738\) | 15.1515 | + | 8.52922i | 0.557735 | + | 0.313965i | ||||
\(739\) | − | 16.2811i | − | 0.598908i | −0.954111 | − | 0.299454i | \(-0.903195\pi\) | ||
0.954111 | − | 0.299454i | \(-0.0968046\pi\) | |||||||
\(740\) | −7.68775 | − | 9.13360i | −0.282607 | − | 0.335758i | ||||
\(741\) | 30.3531 | − | 6.16264i | 1.11505 | − | 0.226390i | ||||
\(742\) | 3.16952 | + | 1.78422i | 0.116357 | + | 0.0655007i | ||||
\(743\) | −16.8082 | − | 16.8082i | −0.616634 | − | 0.616634i | 0.328033 | − | 0.944666i | \(-0.393614\pi\) |
−0.944666 | + | 0.328033i | \(0.893614\pi\) | |||||||
\(744\) | −10.7246 | − | 10.0462i | −0.393183 | − | 0.368311i | ||||
\(745\) | −17.3532 | + | 23.7450i | −0.635772 | + | 0.869950i | ||||
\(746\) | −2.61607 | − | 9.35485i | −0.0957812 | − | 0.342505i | ||||
\(747\) | 1.11997 | − | 1.11997i | 0.0409775 | − | 0.0409775i | ||||
\(748\) | 27.7062 | + | 6.78112i | 1.01304 | + | 0.247942i | ||||
\(749\) | −25.2053 | −0.920981 | ||||||||
\(750\) | 18.4984 | + | 0.922844i | 0.675467 | + | 0.0336975i | ||||
\(751\) | 17.9246i | 0.654080i | 0.945011 | + | 0.327040i | \(0.106051\pi\) | ||||
−0.945011 | + | 0.327040i | \(0.893949\pi\) | |||||||
\(752\) | −9.49766 | − | 30.1331i | −0.346344 | − | 1.09884i | ||||
\(753\) | −5.35252 | − | 5.35252i | −0.195057 | − | 0.195057i | ||||
\(754\) | 4.60908 | + | 9.00676i | 0.167853 | + | 0.328007i | ||||
\(755\) | −1.54885 | + | 2.11935i | −0.0563684 | + | 0.0771310i | ||||
\(756\) | −23.3905 | − | 38.5507i | −0.850706 | − | 1.40208i | ||||
\(757\) | 26.9558 | − | 26.9558i | 0.979726 | − | 0.979726i | −0.0200726 | − | 0.999799i | \(-0.506390\pi\) |
0.999799 | + | 0.0200726i | \(0.00638974\pi\) | |||||||
\(758\) | −14.7130 | + | 26.1364i | −0.534399 | + | 0.949318i | ||||
\(759\) | − | 9.31600i | − | 0.338149i | ||||||
\(760\) | −26.1289 | + | 38.3192i | −0.947794 | + | 1.38998i | ||||
\(761\) | 39.0244i | 1.41463i | 0.706897 | + | 0.707316i | \(0.250094\pi\) | ||||
−0.706897 | + | 0.707316i | \(0.749906\pi\) | |||||||
\(762\) | 7.25546 | + | 4.08431i | 0.262837 | + | 0.147959i | ||||
\(763\) | −19.3636 | + | 19.3636i | −0.701008 | + | 0.701008i | ||||
\(764\) | −21.7994 | + | 13.2268i | −0.788676 | + | 0.478527i | ||||
\(765\) | 15.0819 | − | 2.34562i | 0.545287 | − | 0.0848061i | ||||
\(766\) | −12.7689 | − | 45.6605i | −0.461360 | − | 1.64978i | ||||
\(767\) | 18.4572 | + | 12.2273i | 0.666452 | + | 0.441502i | ||||
\(768\) | 18.4570 | + | 3.25821i | 0.666009 | + | 0.117571i | ||||
\(769\) | −0.308598 | −0.0111283 | −0.00556416 | − | 0.999985i | \(-0.501771\pi\) | ||||
−0.00556416 | + | 0.999985i | \(0.501771\pi\) | |||||||
\(770\) | −15.6918 | + | 41.8889i | −0.565495 | + | 1.50957i | ||||
\(771\) | 17.3683i | 0.625504i | ||||||||
\(772\) | −23.7398 | − | 5.81033i | −0.854413 | − | 0.209118i | ||||
\(773\) | 7.48016 | − | 7.48016i | 0.269043 | − | 0.269043i | −0.559672 | − | 0.828714i | \(-0.689073\pi\) |
0.828714 | + | 0.559672i | \(0.189073\pi\) | |||||||
\(774\) | −0.481061 | − | 1.72023i | −0.0172914 | − | 0.0618324i | ||||
\(775\) | 6.73506 | + | 21.1288i | 0.241931 | + | 0.758971i | ||||
\(776\) | −9.94715 | + | 10.6189i | −0.357082 | + | 0.381196i | ||||
\(777\) | −9.19613 | + | 9.19613i | −0.329909 | + | 0.329909i | ||||
\(778\) | 8.32853 | − | 14.7950i | 0.298592 | − | 0.530426i | ||||
\(779\) | −55.3867 | −1.98444 | ||||||||
\(780\) | 2.15923 | + | 18.7644i | 0.0773128 | + | 0.671874i | ||||
\(781\) | −30.2715 | −1.08320 | ||||||||
\(782\) | 6.80211 | − | 12.0834i | 0.243243 | − | 0.432102i | ||||
\(783\) | 7.60600 | − | 7.60600i | 0.271816 | − | 0.271816i | ||||
\(784\) | 36.5326 | + | 19.0222i | 1.30473 | + | 0.679365i | ||||
\(785\) | −0.242447 | − | 1.55889i | −0.00865329 | − | 0.0556390i | ||||
\(786\) | −4.88167 | − | 17.4564i | −0.174123 | − | 0.622650i | ||||
\(787\) | −37.3152 | + | 37.3152i | −1.33014 | + | 1.33014i | −0.424906 | + | 0.905238i | \(0.639693\pi\) |
−0.905238 | + | 0.424906i | \(0.860307\pi\) | |||||||
\(788\) | −4.20117 | + | 17.1651i | −0.149660 | + | 0.611481i | ||||
\(789\) | − | 10.8244i | − | 0.385358i | ||||||
\(790\) | 38.1008 | − | 17.3344i | 1.35557 | − | 0.616731i | ||||
\(791\) | 49.5456 | 1.76164 | ||||||||
\(792\) | −15.6513 | + | 0.511213i | −0.556143 | + | 0.0181652i | ||||
\(793\) | −16.1755 | + | 24.4170i | −0.574408 | + | 0.867075i | ||||
\(794\) | −3.51542 | − | 12.5708i | −0.124758 | − | 0.446122i | ||||
\(795\) | −0.955738 | + | 1.30777i | −0.0338965 | + | 0.0463819i | ||||
\(796\) | 6.34275 | + | 10.4537i | 0.224813 | + | 0.370521i | ||||
\(797\) | −22.8667 | + | 22.8667i | −0.809978 | + | 0.809978i | −0.984630 | − | 0.174652i | \(-0.944120\pi\) |
0.174652 | + | 0.984630i | \(0.444120\pi\) | |||||||
\(798\) | 44.0280 | + | 24.7846i | 1.55858 | + | 0.877367i | ||||
\(799\) | − | 33.1210i | − | 1.17174i | ||||||
\(800\) | −21.9182 | − | 17.8772i | −0.774925 | − | 0.632053i | ||||
\(801\) | 28.6436i | 1.01207i | ||||||||
\(802\) | −7.45480 | + | 13.2429i | −0.263238 | + | 0.467622i | ||||
\(803\) | −14.3027 | + | 14.3027i | −0.504730 | + | 0.504730i | ||||
\(804\) | −10.7275 | + | 6.50891i | −0.378331 | + | 0.229551i | ||||
\(805\) | 17.5567 | + | 12.8307i | 0.618792 | + | 0.452222i | ||||
\(806\) | −20.1325 | + | 10.3025i | −0.709138 | + | 0.362891i | ||||
\(807\) | −24.0652 | − | 24.0652i | −0.847135 | − | 0.847135i | ||||
\(808\) | −0.200288 | − | 6.13199i | −0.00704609 | − | 0.215723i | ||||
\(809\) | − | 29.5735i | − | 1.03975i | −0.854243 | − | 0.519874i | \(-0.825979\pi\) | ||
0.854243 | − | 0.519874i | \(-0.174021\pi\) | |||||||
\(810\) | 4.22174 | − | 1.92073i | 0.148337 | − | 0.0674876i | ||||
\(811\) | 8.80243 | 0.309095 | 0.154548 | − | 0.987985i | \(-0.450608\pi\) | ||||
0.154548 | + | 0.987985i | \(0.450608\pi\) | |||||||
\(812\) | −3.92371 | + | 16.0315i | −0.137695 | + | 0.562594i | ||||
\(813\) | −5.30978 | + | 5.30978i | −0.186222 | + | 0.186222i | ||||
\(814\) | 3.45808 | + | 12.3658i | 0.121206 | + | 0.433421i | ||||
\(815\) | −20.4036 | + | 3.17329i | −0.714708 | + | 0.111155i | ||||
\(816\) | 17.4271 | + | 9.07413i | 0.610069 | + | 0.317658i | ||||
\(817\) | 4.02344 | + | 4.02344i | 0.140762 | + | 0.140762i | ||||
\(818\) | −30.8960 | − | 17.3923i | −1.08025 | − | 0.608106i | ||||
\(819\) | −23.9218 | + | 4.85689i | −0.835896 | + | 0.169713i | ||||
\(820\) | 2.89259 | − | 33.6531i | 0.101013 | − | 1.17522i | ||||
\(821\) | 22.9355i | 0.800456i | 0.916416 | + | 0.400228i | \(0.131069\pi\) | ||||
−0.916416 | + | 0.400228i | \(0.868931\pi\) | |||||||
\(822\) | −1.61084 | − | 0.906786i | −0.0561844 | − | 0.0316278i | ||||
\(823\) | 31.1108 | − | 31.1108i | 1.08446 | − | 1.08446i | 0.0883682 | − | 0.996088i | \(-0.471835\pi\) |
0.996088 | − | 0.0883682i | \(-0.0281652\pi\) | |||||||
\(824\) | 38.8820 | + | 36.4223i | 1.35452 | + | 1.26883i | ||||
\(825\) | −17.6987 | − | 9.14267i | −0.616188 | − | 0.318307i | ||||
\(826\) | 9.72676 | + | 34.7821i | 0.338437 | + | 1.21022i | ||||
\(827\) | −6.78549 | + | 6.78549i | −0.235955 | + | 0.235955i | −0.815173 | − | 0.579218i | \(-0.803358\pi\) |
0.579218 | + | 0.815173i | \(0.303358\pi\) | |||||||
\(828\) | −1.80978 | + | 7.39438i | −0.0628942 | + | 0.256972i | ||||
\(829\) | − | 8.41984i | − | 0.292433i | −0.989253 | − | 0.146217i | \(-0.953290\pi\) | ||
0.989253 | − | 0.146217i | \(-0.0467097\pi\) | |||||||
\(830\) | −2.88136 | − | 1.07938i | −0.100013 | − | 0.0374657i | ||||
\(831\) | 6.89985i | 0.239353i | ||||||||
\(832\) | 14.3269 | − | 25.0348i | 0.496695 | − | 0.867925i | ||||
\(833\) | 30.5317 | + | 30.5317i | 1.05786 | + | 1.05786i | ||||
\(834\) | −23.2956 | + | 6.51458i | −0.806660 | + | 0.225582i | ||||
\(835\) | −2.73866 | − | 17.6090i | −0.0947751 | − | 0.609386i | ||||
\(836\) | 42.6472 | − | 25.8761i | 1.47498 | − | 0.894943i | ||||
\(837\) | 17.0015 | + | 17.0015i | 0.587656 | + | 0.587656i | ||||
\(838\) | −28.8344 | − | 16.2317i | −0.996068 | − | 0.560715i | ||||
\(839\) | 40.2917i | 1.39103i | 0.718514 | + | 0.695513i | \(0.244823\pi\) | ||||
−0.718514 | + | 0.695513i | \(0.755177\pi\) | |||||||
\(840\) | −17.3586 | + | 25.4571i | −0.598927 | + | 0.878354i | ||||
\(841\) | 25.0629 | 0.864237 | ||||||||
\(842\) | −12.7346 | + | 22.6221i | −0.438864 | + | 0.779608i | ||||
\(843\) | −1.77101 | − | 1.77101i | −0.0609967 | − | 0.0609967i | ||||
\(844\) | −13.0153 | + | 7.89702i | −0.448006 | + | 0.271826i | ||||
\(845\) | 28.3001 | + | 6.64094i | 0.973554 | + | 0.228455i | ||||
\(846\) | 4.89707 | + | 17.5115i | 0.168365 | + | 0.602057i | ||||
\(847\) | 1.67022 | − | 1.67022i | 0.0573896 | − | 0.0573896i | ||||
\(848\) | 2.35918 | − | 0.743590i | 0.0810145 | − | 0.0255350i | ||||
\(849\) | 24.1698i | 0.829504i | ||||||||
\(850\) | −16.2807 | − | 24.7813i | −0.558423 | − | 0.849993i | ||||
\(851\) | 6.24203 | 0.213974 | ||||||||
\(852\) | −20.2539 | − | 4.95714i | −0.693886 | − | 0.169829i | ||||
\(853\) | 8.82894 | − | 8.82894i | 0.302297 | − | 0.302297i | −0.539615 | − | 0.841912i | \(-0.681430\pi\) |
0.841912 | + | 0.539615i | \(0.181430\pi\) | |||||||
\(854\) | −46.0131 | + | 12.8675i | −1.57454 | + | 0.440317i | ||||
\(855\) | 15.7497 | − | 21.5509i | 0.538629 | − | 0.737026i | ||||
\(856\) | −11.7188 | + | 12.5101i | −0.400539 | + | 0.427588i | ||||
\(857\) | −17.4628 | + | 17.4628i | −0.596516 | + | 0.596516i | −0.939384 | − | 0.342868i | \(-0.888602\pi\) |
0.342868 | + | 0.939384i | \(0.388602\pi\) | |||||||
\(858\) | 6.24383 | − | 19.3318i | 0.213161 | − | 0.659977i | ||||
\(859\) | 24.9704 | 0.851980 | 0.425990 | − | 0.904728i | \(-0.359926\pi\) | ||||
0.425990 | + | 0.904728i | \(0.359926\pi\) | |||||||
\(860\) | −2.65477 | + | 2.23452i | −0.0905269 | + | 0.0761965i | ||||
\(861\) | −36.7958 | −1.25400 | ||||||||
\(862\) | −14.3017 | − | 8.05083i | −0.487117 | − | 0.274212i | ||||
\(863\) | −21.9784 | − | 21.9784i | −0.748152 | − | 0.748152i | 0.225980 | − | 0.974132i | \(-0.427442\pi\) |
−0.974132 | + | 0.225980i | \(0.927442\pi\) | |||||||
\(864\) | −30.0089 | − | 6.31405i | −1.02092 | − | 0.214808i | ||||
\(865\) | −8.65665 | + | 1.34633i | −0.294335 | + | 0.0457766i | ||||
\(866\) | −3.97016 | − | 14.1969i | −0.134911 | − | 0.482431i | ||||
\(867\) | 0.483319 | + | 0.483319i | 0.0164144 | + | 0.0164144i | ||||
\(868\) | −35.8346 | − | 8.77054i | −1.21631 | − | 0.297692i | ||||
\(869\) | −45.0209 | −1.52723 | ||||||||
\(870\) | −6.88302 | − | 2.57842i | −0.233356 | − | 0.0874168i | ||||
\(871\) | 3.84233 | + | 18.9248i | 0.130192 | + | 0.641242i | ||||
\(872\) | 0.607967 | + | 18.6135i | 0.0205884 | + | 0.630332i | ||||
\(873\) | 5.92127 | − | 5.92127i | 0.200405 | − | 0.200405i | ||||
\(874\) | −6.53089 | − | 23.3539i | −0.220911 | − | 0.789958i | ||||
\(875\) | 41.6059 | − | 20.7625i | 1.40654 | − | 0.701900i | ||||
\(876\) | −11.9117 | + | 7.22739i | −0.402459 | + | 0.244191i | ||||
\(877\) | 9.98299 | + | 9.98299i | 0.337102 | + | 0.337102i | 0.855275 | − | 0.518174i | \(-0.173388\pi\) |
−0.518174 | + | 0.855275i | \(0.673388\pi\) | |||||||
\(878\) | −15.2804 | − | 8.60175i | −0.515687 | − | 0.290295i | ||||
\(879\) | − | 18.5562i | − | 0.625884i | ||||||
\(880\) | 13.4951 | + | 27.2639i | 0.454919 | + | 0.919065i | ||||
\(881\) | 44.8852 | 1.51222 | 0.756111 | − | 0.654443i | \(-0.227097\pi\) | ||||
0.756111 | + | 0.654443i | \(0.227097\pi\) | |||||||
\(882\) | −20.6567 | − | 11.6283i | −0.695548 | − | 0.391544i | ||||
\(883\) | 16.4821 | − | 16.4821i | 0.554666 | − | 0.554666i | −0.373118 | − | 0.927784i | \(-0.621711\pi\) |
0.927784 | + | 0.373118i | \(0.121711\pi\) | |||||||
\(884\) | 22.2138 | − | 20.5156i | 0.747131 | − | 0.690014i | ||||
\(885\) | −15.8929 | + | 2.47176i | −0.534235 | + | 0.0830873i | ||||
\(886\) | 14.3167 | − | 4.00364i | 0.480978 | − | 0.134505i | ||||
\(887\) | 30.6655 | + | 30.6655i | 1.02965 | + | 1.02965i | 0.999547 | + | 0.0300985i | \(0.00958209\pi\) |
0.0300985 | + | 0.999547i | \(0.490418\pi\) | |||||||
\(888\) | 0.288735 | + | 8.83990i | 0.00968931 | + | 0.296647i | ||||
\(889\) | 20.9029 | 0.701060 | ||||||||
\(890\) | 50.6486 | − | 23.0432i | 1.69775 | − | 0.772410i | ||||
\(891\) | −4.98852 | −0.167122 | ||||||||
\(892\) | 5.04797 | − | 20.6249i | 0.169018 | − | 0.690574i | ||||
\(893\) | −40.9575 | − | 40.9575i | −1.37059 | − | 1.37059i | ||||
\(894\) | 20.9837 | − | 5.86807i | 0.701800 | − | 0.196258i | ||||
\(895\) | 12.0762 | − | 16.5243i | 0.403664 | − | 0.552348i | ||||
\(896\) | 44.3914 | − | 15.6023i | 1.48301 | − | 0.521236i | ||||
\(897\) | −8.23311 | − | 5.45416i | −0.274895 | − | 0.182109i | ||||
\(898\) | −25.6746 | − | 14.4530i | −0.856772 | − | 0.482302i | ||||
\(899\) | − | 8.80054i | − | 0.293514i | ||||||
\(900\) | 12.2718 | + | 10.6950i | 0.409061 | + | 0.356501i | ||||
\(901\) | 2.59311 | 0.0863889 | ||||||||
\(902\) | −17.8209 | + | 31.6575i | −0.593371 | + | 1.05408i | ||||
\(903\) | 2.67295 | + | 2.67295i | 0.0889501 | + | 0.0889501i | ||||
\(904\) | 23.0354 | − | 24.5910i | 0.766145 | − | 0.817883i | ||||
\(905\) | −15.3148 | + | 20.9559i | −0.509082 | + | 0.696596i | ||||
\(906\) | 1.87289 | − | 0.523751i | 0.0622225 | − | 0.0174005i | ||||
\(907\) | 21.6975 | + | 21.6975i | 0.720453 | + | 0.720453i | 0.968697 | − | 0.248244i | \(-0.0798536\pi\) |
−0.248244 | + | 0.968697i | \(0.579854\pi\) | |||||||
\(908\) | 32.8489 | + | 8.03979i | 1.09013 | + | 0.266810i | ||||
\(909\) | 3.53099i | 0.117115i | ||||||||
\(910\) | 27.8327 | + | 38.3921i | 0.922647 | + | 1.27269i | ||||
\(911\) | − | 27.2309i | − | 0.902201i | −0.892473 | − | 0.451100i | \(-0.851032\pi\) | ||
0.892473 | − | 0.451100i | \(-0.148968\pi\) | |||||||
\(912\) | 32.7715 | − | 10.3293i | 1.08517 | − | 0.342036i | ||||
\(913\) | 2.34005 | + | 2.34005i | 0.0774444 | + | 0.0774444i | ||||
\(914\) | 11.5818 | + | 41.4154i | 0.383091 | + | 1.36990i | ||||
\(915\) | −3.26989 | − | 21.0247i | −0.108099 | − | 0.695057i | ||||
\(916\) | −1.99133 | − | 3.28198i | −0.0657956 | − | 0.108440i | ||||
\(917\) | −32.1779 | − | 32.1779i | −1.06261 | − | 1.06261i | ||||
\(918\) | −28.0140 | − | 15.7699i | −0.924599 | − | 0.520483i | ||||
\(919\) | 54.2372 | 1.78912 | 0.894559 | − | 0.446949i | \(-0.147489\pi\) | ||||
0.894559 | + | 0.446949i | \(0.147489\pi\) | |||||||
\(920\) | 14.5309 | − | 2.74852i | 0.479071 | − | 0.0906159i | ||||
\(921\) | − | 28.7625i | − | 0.947758i | ||||||
\(922\) | −0.374194 | + | 0.664728i | −0.0123234 | + | 0.0218916i | ||||
\(923\) | −17.7228 | + | 26.7527i | −0.583353 | + | 0.880577i | ||||
\(924\) | 28.3324 | − | 17.1906i | 0.932067 | − | 0.565530i | ||||
\(925\) | 6.12589 | − | 11.8587i | 0.201418 | − | 0.389911i | ||||
\(926\) | −9.56817 | − | 34.2150i | −0.314430 | − | 1.12437i | ||||
\(927\) | −21.6812 | − | 21.6812i | −0.712105 | − | 0.712105i | ||||
\(928\) | 6.13264 | + | 9.40101i | 0.201314 | + | 0.308603i | ||||
\(929\) | 28.8893 | 0.947826 | 0.473913 | − | 0.880572i | \(-0.342841\pi\) | ||||
0.473913 | + | 0.880572i | \(0.342841\pi\) | |||||||
\(930\) | 5.76347 | − | 15.3854i | 0.188992 | − | 0.504507i | ||||
\(931\) | 75.5112 | 2.47478 | ||||||||
\(932\) | 12.6105 | − | 51.5237i | 0.413069 | − | 1.68771i | ||||
\(933\) | −3.67853 | − | 3.67853i | −0.120430 | − | 0.120430i | ||||
\(934\) | −1.99352 | − | 7.12867i | −0.0652301 | − | 0.233257i | ||||
\(935\) | 4.90092 | + | 31.5120i | 0.160277 | + | 1.03055i | ||||
\(936\) | −8.71142 | + | 14.1312i | −0.284742 | + | 0.461894i | ||||
\(937\) | −10.0842 | + | 10.0842i | −0.329438 | + | 0.329438i | −0.852373 | − | 0.522935i | \(-0.824837\pi\) |
0.522935 | + | 0.852373i | \(0.324837\pi\) | |||||||
\(938\) | −15.4529 | + | 27.4510i | −0.504556 | + | 0.896306i | ||||
\(939\) | 1.59204 | 0.0519541 | ||||||||
\(940\) | 27.0249 | − | 22.7468i | 0.881453 | − | 0.741919i | ||||
\(941\) | − | 14.1759i | − | 0.462120i | −0.972940 | − | 0.231060i | \(-0.925781\pi\) | ||
0.972940 | − | 0.231060i | \(-0.0742194\pi\) | |||||||
\(942\) | −0.573347 | + | 1.01851i | −0.0186807 | + | 0.0331848i | ||||
\(943\) | 12.4879 | + | 12.4879i | 0.406662 | + | 0.406662i | ||||
\(944\) | 21.7857 | + | 11.3436i | 0.709063 | + | 0.369204i | ||||
\(945\) | 29.7464 | − | 40.7031i | 0.967650 | − | 1.32407i | ||||
\(946\) | 3.59424 | − | 1.00512i | 0.116859 | − | 0.0326794i | ||||
\(947\) | −2.31797 | + | 2.31797i | −0.0753238 | + | 0.0753238i | −0.743765 | − | 0.668441i | \(-0.766962\pi\) |
0.668441 | + | 0.743765i | \(0.266962\pi\) | |||||||
\(948\) | −30.1223 | − | 7.37244i | −0.978326 | − | 0.239446i | ||||
\(949\) | 4.26646 | + | 21.0138i | 0.138495 | + | 0.682136i | ||||
\(950\) | −50.7774 | − | 10.5119i | −1.64744 | − | 0.341052i | ||||
\(951\) | −12.9492 | −0.419906 | ||||||||
\(952\) | 49.3006 | − | 1.61029i | 1.59784 | − | 0.0521899i | ||||
\(953\) | −4.60082 | − | 4.60082i | −0.149035 | − | 0.149035i | 0.628652 | − | 0.777687i | \(-0.283607\pi\) |
−0.777687 | + | 0.628652i | \(0.783607\pi\) | |||||||
\(954\) | −1.37101 | + | 0.383401i | −0.0443880 | + | 0.0124131i | ||||
\(955\) | −23.0166 | − | 16.8208i | −0.744799 | − | 0.544310i | ||||
\(956\) | 30.8893 | − | 18.7420i | 0.999033 | − | 0.606161i | ||||
\(957\) | 5.58995 | + | 5.58995i | 0.180697 | + | 0.180697i | ||||
\(958\) | 11.9551 | − | 21.2373i | 0.386252 | − | 0.686147i | ||||
\(959\) | −4.64080 | −0.149859 | ||||||||
\(960\) | 4.56457 | + | 20.4514i | 0.147321 | + | 0.660067i | ||||
\(961\) | −11.3284 | −0.365433 | ||||||||
\(962\) | 12.9530 | + | 4.18358i | 0.417620 | + | 0.134884i | ||||
\(963\) | 6.97587 | − | 6.97587i | 0.224794 | − | 0.224794i | ||||
\(964\) | −30.9665 | + | 18.7889i | −0.997364 | + | 0.605148i | ||||
\(965\) | −4.19930 | − | 27.0007i | −0.135180 | − | 0.869183i | ||||
\(966\) | −4.33876 | − | 15.5150i | −0.139597 | − | 0.499188i | ||||
\(967\) | 11.1112 | − | 11.1112i | 0.357311 | − | 0.357311i | −0.505510 | − | 0.862821i | \(-0.668696\pi\) |
0.862821 | + | 0.505510i | \(0.168696\pi\) | |||||||
\(968\) | −0.0524408 | − | 1.60553i | −0.00168551 | − | 0.0516035i | ||||
\(969\) | 36.0210 | 1.15716 | ||||||||
\(970\) | −15.2338 | − | 5.70666i | −0.489126 | − | 0.183230i | ||||
\(971\) | 4.15527i | 0.133349i | 0.997775 | + | 0.0666745i | \(0.0212389\pi\) | ||||
−0.997775 | + | 0.0666745i | \(0.978761\pi\) | |||||||
\(972\) | 28.2560 | + | 6.91567i | 0.906311 | + | 0.221820i | ||||
\(973\) | −42.9413 | + | 42.9413i | −1.37664 | + | 1.37664i | ||||
\(974\) | 40.6785 | − | 11.3757i | 1.30342 | − | 0.364501i | ||||
\(975\) | −18.4418 | + | 10.2887i | −0.590610 | + | 0.329501i | ||||
\(976\) | −15.0065 | + | 28.8202i | −0.480346 | + | 0.922513i | ||||
\(977\) | −34.3076 | − | 34.3076i | −1.09760 | − | 1.09760i | −0.994691 | − | 0.102905i | \(-0.967186\pi\) |
−0.102905 | − | 0.994691i | \(-0.532814\pi\) | |||||||
\(978\) | 13.3308 | + | 7.50431i | 0.426273 | + | 0.239961i | ||||
\(979\) | −59.8477 | −1.91274 | ||||||||
\(980\) | −3.94359 | + | 45.8807i | −0.125973 | + | 1.46561i | ||||
\(981\) | − | 10.7182i | − | 0.342206i | ||||||
\(982\) | 11.6475 | − | 20.6910i | 0.371688 | − | 0.660275i | ||||
\(983\) | 17.3327 | + | 17.3327i | 0.552827 | + | 0.552827i | 0.927256 | − | 0.374429i | \(-0.122161\pi\) |
−0.374429 | + | 0.927256i | \(0.622161\pi\) | |||||||
\(984\) | −17.1076 | + | 18.2629i | −0.545370 | + | 0.582200i | ||||
\(985\) | −19.5229 | + | 3.03631i | −0.622051 | + | 0.0967449i | ||||
\(986\) | 3.16899 | + | 11.3320i | 0.100921 | + | 0.360885i | ||||
\(987\) | −27.2099 | − | 27.2099i | −0.866100 | − | 0.866100i | ||||
\(988\) | 2.10004 | − | 52.8393i | 0.0668111 | − | 1.68104i | ||||
\(989\) | − | 1.81431i | − | 0.0576917i | ||||||
\(990\) | −7.25035 | − | 15.9362i | −0.230431 | − | 0.506485i | ||||
\(991\) | − | 52.6971i | − | 1.67398i | −0.547220 | − | 0.836989i | \(-0.684314\pi\) | ||
0.547220 | − | 0.836989i | \(-0.315686\pi\) | |||||||
\(992\) | −21.0138 | + | 13.7081i | −0.667188 | + | 0.435232i | ||||
\(993\) | 2.32296 | − | 2.32296i | 0.0737168 | − | 0.0737168i | ||||
\(994\) | −50.4147 | + | 14.0984i | −1.59906 | + | 0.447174i | ||||
\(995\) | −8.06625 | + | 11.0374i | −0.255717 | + | 0.349908i | ||||
\(996\) | 1.18247 | + | 1.94886i | 0.0374679 | + | 0.0617521i | ||||
\(997\) | 29.6613 | − | 29.6613i | 0.939384 | − | 0.939384i | −0.0588813 | − | 0.998265i | \(-0.518753\pi\) |
0.998265 | + | 0.0588813i | \(0.0187533\pi\) | |||||||
\(998\) | 23.4894 | − | 41.7271i | 0.743544 | − | 1.32085i | ||||
\(999\) | − | 14.4714i | − | 0.457855i |
(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 | 260.2.p.d.103.6 | ✓ | 64 | |
4.3 | odd | 2 | inner | 260.2.p.d.103.11 | yes | 64 | |
5.2 | odd | 4 | inner | 260.2.p.d.207.22 | yes | 64 | |
13.12 | even | 2 | inner | 260.2.p.d.103.27 | yes | 64 | |
20.7 | even | 4 | inner | 260.2.p.d.207.27 | yes | 64 | |
52.51 | odd | 2 | inner | 260.2.p.d.103.22 | yes | 64 | |
65.12 | odd | 4 | inner | 260.2.p.d.207.11 | yes | 64 | |
260.207 | even | 4 | inner | 260.2.p.d.207.6 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
260.2.p.d.103.6 | ✓ | 64 | 1.1 | even | 1 | trivial | |
260.2.p.d.103.11 | yes | 64 | 4.3 | odd | 2 | inner | |
260.2.p.d.103.22 | yes | 64 | 52.51 | odd | 2 | inner | |
260.2.p.d.103.27 | yes | 64 | 13.12 | even | 2 | inner | |
260.2.p.d.207.6 | yes | 64 | 260.207 | even | 4 | inner | |
260.2.p.d.207.11 | yes | 64 | 65.12 | odd | 4 | inner | |
260.2.p.d.207.22 | yes | 64 | 5.2 | odd | 4 | inner | |
260.2.p.d.207.27 | yes | 64 | 20.7 | even | 4 | inner |