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 | 103.11 | ||
Character | \(\chi\) | \(=\) | 260.103 |
Dual form | 260.2.p.d.207.11 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.693735 | − | 1.23237i | −0.490545 | − | 0.871416i | ||||
\(3\) | 0.828304 | − | 0.828304i | 0.478221 | − | 0.478221i | −0.426341 | − | 0.904562i | \(-0.640198\pi\) |
0.904562 | + | 0.426341i | \(0.140198\pi\) | |||||||
\(4\) | −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 | \(0.537837\pi\) |
−0.992943 | + | 0.118589i | \(0.962163\pi\) | |||||||
\(8\) | 2.82692 | + | 0.0923349i | 0.999467 | + | 0.0326453i | ||||
\(9\) | 1.62783i | 0.542609i | ||||||||
\(10\) | 3.14014 | + | 0.373519i | 0.993000 | + | 0.118117i | ||||
\(11\) | 3.40117 | 1.02549 | 0.512745 | − | 0.858541i | \(-0.328629\pi\) | ||||
0.512745 | + | 0.858541i | \(0.328629\pi\) | |||||||
\(12\) | 0.556962 | + | 2.27563i | 0.160781 | + | 0.656918i | ||||
\(13\) | −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 | \(0.419803\pi\) | |||||||
\(18\) | 2.00608 | − | 1.12928i | 0.472838 | − | 0.266174i | ||||
\(19\) | − | 7.33328i | − | 1.68237i | −0.540748 | − | 0.841184i | \(-0.681859\pi\) | ||
0.540748 | − | 0.841184i | \(-0.318141\pi\) | |||||||
\(20\) | −1.71811 | − | 4.12893i | −0.384182 | − | 0.923257i | ||||
\(21\) | 4.87182i | 1.06312i | ||||||||
\(22\) | −2.35951 | − | 4.19149i | −0.503049 | − | 0.893629i | ||||
\(23\) | −1.65342 | + | 1.65342i | −0.344761 | + | 0.344761i | −0.858154 | − | 0.513393i | \(-0.828388\pi\) |
0.513393 | + | 0.858154i | \(0.328388\pi\) | |||||||
\(24\) | 2.41803 | − | 2.26507i | 0.493578 | − | 0.462355i | ||||
\(25\) | −1.51853 | − | 4.76383i | −0.303705 | − | 0.952766i | ||||
\(26\) | 5.08567 | + | 0.368715i | 0.997382 | + | 0.0723109i | ||||
\(27\) | 3.83325 | + | 3.83325i | 0.737708 | + | 0.737708i | ||||
\(28\) | −1.97746 | − | 8.07948i | −0.373704 | − | 1.52688i | ||||
\(29\) | 1.98422i | 0.368460i | 0.982883 | + | 0.184230i | \(0.0589792\pi\) | ||||
−0.982883 | + | 0.184230i | \(0.941021\pi\) | |||||||
\(30\) | 2.91038 | − | 2.29160i | 0.531360 | − | 0.418388i | ||||
\(31\) | 4.43526 | 0.796597 | 0.398299 | − | 0.917256i | \(-0.369601\pi\) | ||||
0.398299 | + | 0.917256i | \(0.369601\pi\) | |||||||
\(32\) | −3.09070 | + | 4.73788i | −0.546364 | + | 0.837548i | ||||
\(33\) | 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 | \(0.679580\pi\) | |||||||
\(38\) | −9.03730 | + | 5.08735i | −1.46604 | + | 0.825278i | ||||
\(39\) | 0.840366 | + | 4.13909i | 0.134566 | + | 0.662785i | ||||
\(40\) | −3.89645 | + | 4.98174i | −0.616083 | + | 0.787682i | ||||
\(41\) | 7.55280i | 1.17955i | 0.807568 | + | 0.589774i | \(0.200783\pi\) | ||||
−0.807568 | + | 0.589774i | \(0.799217\pi\) | |||||||
\(42\) | 6.00387 | − | 3.37975i | 0.926417 | − | 0.521507i | ||||
\(43\) | −0.548655 | + | 0.548655i | −0.0836691 | + | 0.0836691i | −0.747703 | − | 0.664034i | \(-0.768843\pi\) |
0.664034 | + | 0.747703i | \(0.268843\pi\) | |||||||
\(44\) | −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 | −0.170652 | − | 0.985331i | \(-0.554587\pi\) |
0.985331 | + | 0.170652i | \(0.0545874\pi\) | |||||||
\(48\) | −4.46887 | − | 1.40855i | −0.645026 | − | 0.203306i | ||||
\(49\) | − | 10.2971i | − | 1.47101i | ||||||
\(50\) | −4.81734 | + | 5.17622i | −0.681274 | + | 0.732028i | ||||
\(51\) | 4.91199i | 0.687816i | ||||||||
\(52\) | −3.07372 | − | 6.52321i | −0.426248 | − | 0.904606i | ||||
\(53\) | −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 | ||||
\(58\) | 2.44529 | − | 1.37652i | 0.321082 | − | 0.180746i | ||||
\(59\) | 6.14051i | 0.799426i | 0.916640 | + | 0.399713i | \(0.130890\pi\) | ||||
−0.916640 | + | 0.399713i | \(0.869110\pi\) | |||||||
\(60\) | −4.84313 | − | 1.99689i | −0.625246 | − | 0.257797i | ||||
\(61\) | 8.12327 | 1.04008 | 0.520039 | − | 0.854142i | \(-0.325917\pi\) | ||||
0.520039 | + | 0.854142i | \(0.325917\pi\) | |||||||
\(62\) | −3.07690 | − | 5.46588i | −0.390767 | − | 0.694167i | ||||
\(63\) | −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 | −0.899532 | − | 0.436854i | \(-0.856092\pi\) |
0.436854 | + | 0.899532i | \(0.356092\pi\) | |||||||
\(68\) | −1.99376 | − | 8.14610i | −0.241779 | − | 0.987860i | ||||
\(69\) | 2.73906i | 0.329744i | ||||||||
\(70\) | −10.3331 | + | 8.13619i | −1.23504 | + | 0.972460i | ||||
\(71\) | −8.90033 | −1.05628 | −0.528138 | − | 0.849159i | \(-0.677109\pi\) | ||||
−0.528138 | + | 0.849159i | \(0.677109\pi\) | |||||||
\(72\) | −0.150305 | + | 4.60173i | −0.0177136 | + | 0.542319i | ||||
\(73\) | 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 | ||||
\(78\) | 4.51789 | − | 3.90707i | 0.511550 | − | 0.442389i | ||||
\(79\) | −13.2369 | −1.48927 | −0.744633 | − | 0.667474i | \(-0.767376\pi\) | ||||
−0.744633 | + | 0.667474i | \(0.767376\pi\) | |||||||
\(80\) | 8.84244 | + | 1.34585i | 0.988614 | + | 0.150471i | ||||
\(81\) | 1.46671 | 0.162967 | ||||||||
\(82\) | 9.30783 | − | 5.23964i | 1.02788 | − | 0.578622i | ||||
\(83\) | 0.688014 | + | 0.688014i | 0.0755194 | + | 0.0755194i | 0.743858 | − | 0.668338i | \(-0.232994\pi\) |
−0.668338 | + | 0.743858i | \(0.732994\pi\) | |||||||
\(84\) | −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 | ||||
\(88\) | 9.61483 | + | 0.314046i | 1.02494 | + | 0.0334775i | ||||
\(89\) | 17.5962 | 1.86520 | 0.932599 | − | 0.360915i | \(-0.117536\pi\) | ||||
0.932599 | + | 0.360915i | \(0.117536\pi\) | |||||||
\(90\) | −0.608024 | + | 5.11160i | −0.0640914 | + | 0.538810i | ||||
\(91\) | −2.98367 | − | 14.6956i | −0.312773 | − | 1.54051i | ||||
\(92\) | −1.11178 | − | 4.54249i | −0.115911 | − | 0.473587i | ||||
\(93\) | 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 | \(0.834105\pi\) | |||||||
\(98\) | −12.6898 | + | 7.14344i | −1.28186 | + | 0.721596i | ||||
\(99\) | 5.53651i | 0.556440i | ||||||||
\(100\) | 9.72097 | + | 2.34581i | 0.972097 | + | 0.234581i | ||||
\(101\) | 2.16914 | 0.215838 | 0.107919 | − | 0.994160i | \(-0.465581\pi\) | ||||
0.107919 | + | 0.994160i | \(0.465581\pi\) | |||||||
\(102\) | 6.05338 | − | 3.40762i | 0.599374 | − | 0.337405i | ||||
\(103\) | 13.3191 | − | 13.3191i | 1.31237 | − | 1.31237i | 0.392713 | − | 0.919661i | \(-0.371536\pi\) |
0.919661 | − | 0.392713i | \(-0.128464\pi\) | |||||||
\(104\) | −5.90665 | + | 8.31333i | −0.579195 | + | 0.815189i | ||||
\(105\) | −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 | 0.883228 | − | 0.468944i | \(-0.155365\pi\) |
−0.468944 | + | 0.883228i | \(0.655365\pi\) | |||||||
\(108\) | −10.5312 | + | 2.57752i | −1.01337 | + | 0.248022i | ||||
\(109\) | −6.58437 | −0.630668 | −0.315334 | − | 0.948981i | \(-0.602117\pi\) | ||||
−0.315334 | + | 0.948981i | \(0.602117\pi\) | |||||||
\(110\) | 10.6801 | + | 1.27040i | 1.01831 | + | 0.121128i | ||||
\(111\) | 3.12704 | 0.296806 | ||||||||
\(112\) | 15.8664 | + | 5.00095i | 1.49924 | + | 0.472545i | ||||
\(113\) | 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 | ||||
\(118\) | 7.56737 | − | 4.25989i | 0.696633 | − | 0.392155i | ||||
\(119\) | − | 17.4397i | − | 1.59869i | ||||||
\(120\) | 0.898947 | + | 7.35383i | 0.0820623 | + | 0.671310i | ||||
\(121\) | 0.567942 | 0.0516310 | ||||||||
\(122\) | −5.63540 | − | 10.0109i | −0.510205 | − | 0.906341i | ||||
\(123\) | 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 | 0.531624 | − | 0.846981i | \(-0.321582\pi\) |
−0.846981 | + | 0.531624i | \(0.821582\pi\) | |||||||
\(128\) | −4.89470 | − | 10.2001i | −0.432635 | − | 0.901569i | ||||
\(129\) | 0.908906i | 0.0800247i | ||||||||
\(130\) | −7.37554 | + | 8.69491i | −0.646877 | + | 0.762594i | ||||
\(131\) | 10.9417i | 0.955984i | 0.878364 | + | 0.477992i | \(0.158635\pi\) | ||||
−0.878364 | + | 0.477992i | \(0.841365\pi\) | |||||||
\(132\) | 1.89432 | + | 7.73980i | 0.164879 | + | 0.673663i | ||||
\(133\) | 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 | \(0.765179\pi\) | |||||||
\(138\) | 3.37553 | − | 1.90018i | 0.287344 | − | 0.161754i | ||||
\(139\) | 14.6017 | 1.23850 | 0.619251 | − | 0.785193i | \(-0.287436\pi\) | ||||
0.619251 | + | 0.785193i | \(0.287436\pi\) | |||||||
\(140\) | 17.1952 | + | 7.08983i | 1.45326 | + | 0.599200i | ||||
\(141\) | − | 9.25242i | − | 0.779194i | ||||||
\(142\) | 6.17448 | + | 10.9685i | 0.518150 | + | 0.920455i | ||||
\(143\) | −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 | ||||
\(148\) | −5.18592 | + | 1.26926i | −0.426280 | + | 0.104332i | ||||
\(149\) | 13.1526 | 1.07751 | 0.538753 | − | 0.842464i | \(-0.318896\pi\) | ||||
0.538753 | + | 0.842464i | \(0.318896\pi\) | |||||||
\(150\) | 0.297264 | + | 8.27770i | 0.0242715 | + | 0.675872i | ||||
\(151\) | −1.17393 | −0.0955332 | −0.0477666 | − | 0.998859i | \(-0.515210\pi\) | ||||
−0.0477666 | + | 0.998859i | \(0.515210\pi\) | |||||||
\(152\) | 0.677117 | − | 20.7306i | 0.0549214 | − | 1.68147i | ||||
\(153\) | −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 | ||||
\(156\) | −7.94917 | − | 2.85723i | −0.636443 | − | 0.228761i | ||||
\(157\) | −0.498889 | + | 0.498889i | −0.0398157 | + | 0.0398157i | −0.726734 | − | 0.686919i | \(-0.758963\pi\) |
0.686919 | + | 0.726734i | \(0.258963\pi\) | |||||||
\(158\) | 9.18290 | + | 16.3127i | 0.730552 | + | 1.29777i | ||||
\(159\) | −0.724390 | −0.0574478 | ||||||||
\(160\) | −4.47572 | − | 11.8308i | −0.353837 | − | 0.935307i | ||||
\(161\) | − | 9.72485i | − | 0.766426i | ||||||
\(162\) | −1.01751 | − | 1.80752i | −0.0799429 | − | 0.142012i | ||||
\(163\) | −6.52976 | − | 6.52976i | −0.511450 | − | 0.511450i | 0.403520 | − | 0.914971i | \(-0.367786\pi\) |
−0.914971 | + | 0.403520i | \(0.867786\pi\) | |||||||
\(164\) | −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 | −0.454610 | − | 0.890691i | \(-0.650221\pi\) |
0.890691 | + | 0.454610i | \(0.150221\pi\) | |||||||
\(168\) | −0.449838 | + | 13.7722i | −0.0347058 | + | 1.06255i | ||||
\(169\) | −5.06984 | − | 11.9707i | −0.389987 | − | 0.920820i | ||||
\(170\) | −10.4183 | + | 8.20328i | −0.799048 | + | 0.629163i | ||||
\(171\) | 11.9373 | 0.912868 | ||||||||
\(172\) | −0.368922 | − | 1.50734i | −0.0281301 | − | 0.114934i | ||||
\(173\) | 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 | ||||
\(178\) | −12.2071 | − | 21.6850i | −0.914963 | − | 1.62536i | ||||
\(179\) | 9.15302 | 0.684129 | 0.342064 | − | 0.939677i | \(-0.388874\pi\) | ||||
0.342064 | + | 0.939677i | \(0.388874\pi\) | |||||||
\(180\) | 6.72118 | − | 2.79679i | 0.500967 | − | 0.208460i | ||||
\(181\) | 11.6077 | 0.862792 | 0.431396 | − | 0.902163i | \(-0.358021\pi\) | ||||
0.431396 | + | 0.902163i | \(0.358021\pi\) | |||||||
\(182\) | −16.0405 | + | 13.8718i | −1.18900 | + | 1.02825i | ||||
\(183\) | 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 | ||||
\(188\) | 3.75553 | + | 15.3443i | 0.273900 | + | 1.11910i | ||||
\(189\) | −22.5459 | −1.63997 | ||||||||
\(190\) | 2.73912 | − | 23.0275i | 0.198717 | − | 1.67059i | ||||
\(191\) | − | 12.7491i | − | 0.922496i | −0.887271 | − | 0.461248i | \(-0.847402\pi\) | ||
0.887271 | − | 0.461248i | \(-0.152598\pi\) | |||||||
\(192\) | 7.04472 | − | 6.17989i | 0.508409 | − | 0.445995i | ||||
\(193\) | −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 | \(0.648074\pi\) | |||||||
\(198\) | 6.82302 | − | 3.84087i | 0.484891 | − | 0.272959i | ||||
\(199\) | −6.11372 | −0.433390 | −0.216695 | − | 0.976239i | \(-0.569528\pi\) | ||||
−0.216695 | + | 0.976239i | \(0.569528\pi\) | |||||||
\(200\) | −3.85288 | − | 13.6072i | −0.272440 | − | 0.962173i | ||||
\(201\) | 6.27387i | 0.442525i | ||||||||
\(202\) | −1.50481 | − | 2.67318i | −0.105878 | − | 0.188084i | ||||
\(203\) | −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 | ||||
\(208\) | 14.3427 | + | 1.51191i | 0.994490 | + | 0.104832i | ||||
\(209\) | − | 24.9417i | − | 1.72525i | ||||||
\(210\) | −1.81972 | + | 15.2982i | −0.125572 | + | 1.05568i | ||||
\(211\) | − | 7.61186i | − | 0.524022i | −0.965065 | − | 0.262011i | \(-0.915614\pi\) | ||
0.965065 | − | 0.262011i | \(-0.0843857\pi\) | |||||||
\(212\) | 1.20134 | − | 0.294028i | 0.0825081 | − | 0.0201939i | ||||
\(213\) | −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 | ||||
\(218\) | 4.56781 | + | 8.11437i | 0.309371 | + | 0.549574i | ||||
\(219\) | − | 6.96641i | − | 0.470746i | ||||||
\(220\) | −5.84359 | − | 14.0432i | −0.393975 | − | 0.946792i | ||||
\(221\) | −3.00827 | − | 14.8167i | −0.202358 | − | 0.996682i | ||||
\(222\) | −2.16934 | − | 3.85367i | −0.145597 | − | 0.258641i | ||||
\(223\) | 7.50725 | + | 7.50725i | 0.502723 | + | 0.502723i | 0.912283 | − | 0.409560i | \(-0.134318\pi\) |
−0.409560 | + | 0.912283i | \(0.634318\pi\) | |||||||
\(224\) | −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 | −0.982076 | − | 0.188486i | \(-0.939642\pi\) |
0.188486 | + | 0.982076i | \(0.439642\pi\) | |||||||
\(228\) | 16.6878 | − | 4.08435i | 1.10518 | − | 0.270493i | ||||
\(229\) | −1.91943 | −0.126839 | −0.0634197 | − | 0.997987i | \(-0.520201\pi\) | ||||
−0.0634197 | + | 0.997987i | \(0.520201\pi\) | |||||||
\(230\) | −5.80954 | + | 4.57437i | −0.383070 | + | 0.301625i | ||||
\(231\) | 16.5699i | 1.09022i | ||||||||
\(232\) | −0.183213 | + | 5.60923i | −0.0120285 | + | 0.368264i | ||||
\(233\) | −18.7540 | − | 18.7540i | −1.22862 | − | 1.22862i | −0.964487 | − | 0.264131i | \(-0.914915\pi\) |
−0.264131 | − | 0.964487i | \(-0.585085\pi\) | |||||||
\(234\) | −0.600203 | + | 8.27859i | −0.0392365 | + | 0.541188i | ||||
\(235\) | 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 | ||||
\(238\) | −21.4921 | + | 12.0985i | −1.39313 | + | 0.784232i | ||||
\(239\) | 18.0653i | 1.16854i | 0.811558 | + | 0.584272i | \(0.198620\pi\) | ||||
−0.811558 | + | 0.584272i | \(0.801380\pi\) | |||||||
\(240\) | 8.43900 | − | 6.20945i | 0.544735 | − | 0.400818i | ||||
\(241\) | 18.1104i | 1.16659i | 0.812259 | + | 0.583297i | \(0.198238\pi\) | ||||
−0.812259 | + | 0.583297i | \(0.801762\pi\) | |||||||
\(242\) | −0.394001 | − | 0.699913i | −0.0253274 | − | 0.0449921i | ||||
\(243\) | −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 | ||||
\(248\) | 12.5381 | + | 0.409530i | 0.796172 | + | 0.0260052i | ||||
\(249\) | 1.13977 | 0.0722300 | ||||||||
\(250\) | −2.98900 | − | 15.5263i | −0.189041 | − | 0.981969i | ||||
\(251\) | − | 6.46202i | − | 0.407879i | −0.978983 | − | 0.203940i | \(-0.934625\pi\) | ||
0.978983 | − | 0.203940i | \(-0.0653746\pi\) | |||||||
\(252\) | 13.1520 | − | 3.21895i | 0.828497 | − | 0.202775i | ||||
\(253\) | −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 | \(0.0969738\pi\) | |||||||
\(258\) | 1.12011 | − | 0.630540i | 0.0697348 | − | 0.0392557i | ||||
\(259\) | −11.1024 | −0.689867 | ||||||||
\(260\) | 15.8320 | + | 3.05741i | 0.981859 | + | 0.189613i | ||||
\(261\) | −3.22996 | −0.199930 | ||||||||
\(262\) | 13.4842 | − | 7.59067i | 0.833059 | − | 0.468953i | ||||
\(263\) | 6.53406 | − | 6.53406i | 0.402907 | − | 0.402907i | −0.476349 | − | 0.879256i | \(-0.658040\pi\) |
0.879256 | + | 0.476349i | \(0.158040\pi\) | |||||||
\(264\) | 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 | ||||
\(268\) | −2.54655 | − | 10.4047i | −0.155555 | − | 0.635566i | ||||
\(269\) | 29.0536i | 1.77143i | 0.464230 | + | 0.885715i | \(0.346331\pi\) | ||||
−0.464230 | + | 0.885715i | \(0.653669\pi\) | |||||||
\(270\) | 10.6051 | + | 13.4687i | 0.645408 | + | 0.819680i | ||||
\(271\) | −6.41043 | −0.389406 | −0.194703 | − | 0.980862i | \(-0.562374\pi\) | ||||
−0.194703 | + | 0.980862i | \(0.562374\pi\) | |||||||
\(272\) | 15.9973 | + | 5.04219i | 0.969977 | + | 0.305727i | ||||
\(273\) | −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 | \(0.193375\pi\) | |||||||
\(278\) | −10.1297 | − | 17.9947i | −0.607541 | − | 1.07925i | ||||
\(279\) | 7.21984i | 0.432240i | ||||||||
\(280\) | −3.19165 | − | 26.1093i | −0.190738 | − | 1.56033i | ||||
\(281\) | 2.13811i | 0.127549i | 0.997964 | + | 0.0637745i | \(0.0203139\pi\) | ||||
−0.997964 | + | 0.0637745i | \(0.979686\pi\) | |||||||
\(282\) | −11.4024 | + | 6.41873i | −0.679002 | + | 0.382230i | ||||
\(283\) | −14.5899 | + | 14.5899i | −0.867280 | + | 0.867280i | −0.992171 | − | 0.124891i | \(-0.960142\pi\) |
0.124891 | + | 0.992171i | \(0.460142\pi\) | |||||||
\(284\) | 9.23376 | − | 15.2185i | 0.547923 | − | 0.903049i | ||||
\(285\) | 18.9801 | − | 2.95189i | 1.12428 | − | 0.174855i | ||||
\(286\) | 17.2972 | + | 1.25406i | 1.02281 | + | 0.0741542i | ||||
\(287\) | −22.2116 | − | 22.2116i | −1.31111 | − | 1.31111i | ||||
\(288\) | −7.71245 | − | 5.03113i | −0.454460 | − | 0.296462i | ||||
\(289\) | − | 0.583505i | − | 0.0343238i | ||||||
\(290\) | −0.741144 | + | 6.23073i | −0.0435215 | + | 0.365881i | ||||
\(291\) | −6.02597 | −0.353249 | ||||||||
\(292\) | 2.82765 | + | 11.5532i | 0.165475 | + | 0.676098i | ||||
\(293\) | −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 | ||||
\(298\) | −9.12445 | − | 16.2089i | −0.528565 | − | 0.938956i | ||||
\(299\) | −1.67749 | − | 8.26222i | −0.0970120 | − | 0.477817i | ||||
\(300\) | 9.99495 | − | 6.10887i | 0.577059 | − | 0.352696i | ||||
\(301\) | − | 3.22701i | − | 0.186002i | ||||||
\(302\) | 0.814398 | + | 1.44672i | 0.0468633 | + | 0.0832491i | ||||
\(303\) | 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 | −0.00903979 | − | 0.999959i | \(-0.502877\pi\) |
0.999959 | + | 0.00903979i | \(0.00287749\pi\) | |||||||
\(308\) | −6.72566 | − | 27.4797i | −0.383230 | − | 1.56580i | ||||
\(309\) | − | 22.0646i | − | 1.25521i | ||||||
\(310\) | 13.9274 | + | 1.65666i | 0.791021 | + | 0.0940918i | ||||
\(311\) | − | 4.44104i | − | 0.251828i | −0.992041 | − | 0.125914i | \(-0.959814\pi\) | ||
0.992041 | − | 0.125914i | \(-0.0401863\pi\) | |||||||
\(312\) | 1.99347 | + | 11.7785i | 0.112858 | + | 0.666824i | ||||
\(313\) | −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 | \(0.649524\pi\) | |||||||
\(318\) | 0.502535 | + | 0.892715i | 0.0281807 | + | 0.0500609i | ||||
\(319\) | 6.74867i | 0.377853i | ||||||||
\(320\) | −11.4749 | + | 13.7232i | −0.641468 | + | 0.767149i | ||||
\(321\) | 7.09921 | 0.396239 | ||||||||
\(322\) | −11.9846 | + | 6.74648i | −0.667876 | + | 0.375966i | ||||
\(323\) | 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 | ||||
\(328\) | −0.697386 | + | 21.3511i | −0.0385067 | + | 1.17892i | ||||
\(329\) | 32.8501i | 1.81109i | ||||||||
\(330\) | 9.89868 | − | 7.79413i | 0.544905 | − | 0.429053i | ||||
\(331\) | 2.80448 | 0.154148 | 0.0770739 | − | 0.997025i | \(-0.475442\pi\) | ||||
0.0770739 | + | 0.997025i | \(0.475442\pi\) | |||||||
\(332\) | −1.89021 | + | 0.462629i | −0.103739 | + | 0.0253901i | ||||
\(333\) | −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 | \(0.177682\pi\) | |||||||
\(338\) | −11.2351 | + | 14.5524i | −0.611111 | + | 0.791545i | ||||
\(339\) | 13.9548 | 0.757920 | ||||||||
\(340\) | 17.3370 | + | 7.14829i | 0.940232 | + | 0.387671i | ||||
\(341\) | 15.0851 | 0.816903 | ||||||||
\(342\) | −8.28132 | − | 14.7111i | −0.447803 | − | 0.795487i | ||||
\(343\) | 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 | 0.997598 | − | 0.0692758i | \(-0.0220688\pi\) |
−0.0692758 | + | 0.997598i | \(0.522069\pi\) | |||||||
\(348\) | −4.51535 | + | 1.10513i | −0.242048 | + | 0.0592414i | ||||
\(349\) | −32.9448 | −1.76349 | −0.881747 | − | 0.471722i | \(-0.843633\pi\) | ||||
−0.881747 | + | 0.471722i | \(0.843633\pi\) | |||||||
\(350\) | −1.05542 | − | 29.3894i | −0.0564145 | − | 1.57093i | ||||
\(351\) | −19.1550 | + | 3.88907i | −1.02242 | + | 0.207583i | ||||
\(352\) | −10.5120 | + | 16.1143i | −0.560292 | + | 0.858897i | ||||
\(353\) | 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 | ||||
\(358\) | −6.34977 | − | 11.2799i | −0.335596 | − | 0.596161i | ||||
\(359\) | 9.59143i | 0.506216i | 0.967438 | + | 0.253108i | \(0.0814528\pi\) | ||||
−0.967438 | + | 0.253108i | \(0.918547\pi\) | |||||||
\(360\) | −8.10940 | − | 6.34274i | −0.427403 | − | 0.334292i | ||||
\(361\) | −34.7769 | −1.83037 | ||||||||
\(362\) | −8.05266 | − | 14.3049i | −0.423239 | − | 0.751851i | ||||
\(363\) | 0.470428 | − | 0.470428i | 0.0246911 | − | 0.0246911i | ||||
\(364\) | 28.2230 | + | 10.1444i | 1.47929 | + | 0.531711i | ||||
\(365\) | 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 | 0.829875 | − | 0.557950i | \(-0.188412\pi\) |
−0.557950 | + | 0.829875i | \(0.688412\pi\) | |||||||
\(368\) | 8.92051 | + | 2.81166i | 0.465014 | + | 0.146568i | ||||
\(369\) | −12.2946 | −0.640033 | ||||||||
\(370\) | 5.22232 | + | 6.63245i | 0.271496 | + | 0.344804i | ||||
\(371\) | 2.57190 | 0.133526 | ||||||||
\(372\) | 2.47027 | + | 10.0930i | 0.128078 | + | 0.523299i | ||||
\(373\) | 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 | ||||
\(378\) | 15.6409 | + | 27.7849i | 0.804481 | + | 1.42910i | ||||
\(379\) | 21.2083i | 1.08940i | 0.838632 | + | 0.544699i | \(0.183356\pi\) | ||||
−0.838632 | + | 0.544699i | \(0.816644\pi\) | |||||||
\(380\) | −30.2786 | + | 12.5994i | −1.55326 | + | 0.646336i | ||||
\(381\) | −5.88741 | −0.301621 | ||||||||
\(382\) | −15.7116 | + | 8.84453i | −0.803877 | + | 0.452526i | ||||
\(383\) | −23.7062 | − | 23.7062i | −1.21133 | − | 1.21133i | −0.970590 | − | 0.240739i | \(-0.922610\pi\) |
−0.240739 | − | 0.970590i | \(-0.577390\pi\) | |||||||
\(384\) | −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 | ||||
\(388\) | 9.99354 | − | 2.44592i | 0.507345 | − | 0.124173i | ||||
\(389\) | 12.0053i | 0.608695i | 0.952561 | + | 0.304347i | \(0.0984384\pi\) | ||||
−0.952561 | + | 0.304347i | \(0.901562\pi\) | |||||||
\(390\) | 1.09284 | + | 13.3112i | 0.0553381 | + | 0.674039i | ||||
\(391\) | − | 9.80505i | − | 0.495862i | ||||||
\(392\) | 0.950778 | − | 29.1090i | 0.0480215 | − | 1.47023i | ||||
\(393\) | 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 | \(0.675598\pi\) | |||||||
\(398\) | 4.24130 | + | 7.53435i | 0.212597 | + | 0.377663i | ||||
\(399\) | 35.7264 | 1.78856 | ||||||||
\(400\) | −14.0962 | + | 14.1880i | −0.704809 | + | 0.709398i | ||||
\(401\) | − | 10.7459i | − | 0.536623i | −0.963332 | − | 0.268312i | \(-0.913534\pi\) | ||
0.963332 | − | 0.268312i | \(-0.0864657\pi\) | |||||||
\(402\) | 7.73172 | − | 4.35241i | 0.385623 | − | 0.217078i | ||||
\(403\) | −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 | ||||
\(408\) | −0.453548 | + | 13.8858i | −0.0224540 | + | 0.687449i | ||||
\(409\) | 25.0704 | 1.23965 | 0.619827 | − | 0.784739i | \(-0.287203\pi\) | ||||
0.619827 | + | 0.784739i | \(0.287203\pi\) | |||||||
\(410\) | −2.82111 | + | 23.7168i | −0.139325 | + | 1.17129i | ||||
\(411\) | −1.30711 | −0.0644748 | ||||||||
\(412\) | 8.95596 | + | 36.5922i | 0.441228 | + | 1.80277i | ||||
\(413\) | −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 | ||||
\(416\) | −8.08683 | − | 18.7244i | −0.396490 | − | 0.918039i | ||||
\(417\) | 12.0947 | − | 12.0947i | 0.592278 | − | 0.592278i | ||||
\(418\) | −30.7374 | + | 17.3029i | −1.50341 | + | 0.846315i | ||||
\(419\) | −23.3976 | −1.14305 | −0.571523 | − | 0.820586i | \(-0.693647\pi\) | ||||
−0.571523 | + | 0.820586i | \(0.693647\pi\) | |||||||
\(420\) | 20.1154 | − | 8.37033i | 0.981531 | − | 0.408430i | ||||
\(421\) | − | 18.3566i | − | 0.894645i | −0.894373 | − | 0.447322i | \(-0.852378\pi\) | ||
0.894373 | − | 0.447322i | \(-0.147622\pi\) | |||||||
\(422\) | −9.38061 | + | 5.28062i | −0.456641 | + | 0.257056i | ||||
\(423\) | 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 | ||||
\(428\) | −11.7734 | + | 2.88155i | −0.569089 | + | 0.139285i | ||||
\(429\) | 2.85823 | + | 14.0777i | 0.137996 | + | 0.679679i | ||||
\(430\) | −1.92779 | + | 1.51792i | −0.0929661 | + | 0.0732006i | ||||
\(431\) | −11.6050 | −0.558995 | −0.279498 | − | 0.960146i | \(-0.590168\pi\) | ||||
−0.279498 | + | 0.960146i | \(0.590168\pi\) | |||||||
\(432\) | 6.51850 | − | 20.6811i | 0.313622 | − | 0.995022i | ||||
\(433\) | 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 | ||||
\(438\) | −8.58518 | + | 4.83284i | −0.410216 | + | 0.230922i | ||||
\(439\) | −12.3992 | −0.591780 | −0.295890 | − | 0.955222i | \(-0.595616\pi\) | ||||
−0.295890 | + | 0.955222i | \(0.595616\pi\) | |||||||
\(440\) | −13.2525 | + | 16.9437i | −0.631787 | + | 0.807760i | ||||
\(441\) | 16.7618 | 0.798182 | ||||||||
\(442\) | −16.1727 | + | 13.9862i | −0.769259 | + | 0.665255i | ||||
\(443\) | 7.43297 | − | 7.43297i | 0.353151 | − | 0.353151i | −0.508130 | − | 0.861281i | \(-0.669663\pi\) |
0.861281 | + | 0.508130i | \(0.169663\pi\) | |||||||
\(444\) | −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 | ||||
\(448\) | −25.0118 | + | 21.9413i | −1.18170 | + | 1.03663i | ||||
\(449\) | 20.8335 | 0.983195 | 0.491598 | − | 0.870822i | \(-0.336413\pi\) | ||||
0.491598 | + | 0.870822i | \(0.336413\pi\) | |||||||
\(450\) | −8.42598 | − | 7.84178i | −0.397205 | − | 0.369665i | ||||
\(451\) | 25.6883i | 1.20962i | ||||||||
\(452\) | −23.1428 | + | 5.66421i | −1.08855 | + | 0.266422i | ||||
\(453\) | −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 | \(-0.501861\pi\) | |||||||
\(458\) | 1.33158 | + | 2.36544i | 0.0622204 | + | 0.110530i | ||||
\(459\) | −22.7318 | −1.06103 | ||||||||
\(460\) | 9.66760 | + | 3.98608i | 0.450754 | + | 0.185852i | ||||
\(461\) | − | 0.539391i | − | 0.0251219i | −0.999921 | − | 0.0125610i | \(-0.996002\pi\) | ||
0.999921 | − | 0.0125610i | \(-0.00399838\pi\) | |||||||
\(462\) | 20.4202 | − | 11.4951i | 0.950032 | − | 0.534800i | ||||
\(463\) | −17.7638 | − | 17.7638i | −0.825555 | − | 0.825555i | 0.161344 | − | 0.986898i | \(-0.448417\pi\) |
−0.986898 | + | 0.161344i | \(0.948417\pi\) | |||||||
\(464\) | 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 | 0.616270 | − | 0.787535i | \(-0.288643\pi\) |
−0.787535 | + | 0.616270i | \(0.788643\pi\) | |||||||
\(468\) | 10.6186 | − | 5.00348i | 0.490847 | − | 0.231286i | ||||
\(469\) | − | 22.2750i | − | 1.02856i | ||||||
\(470\) | 19.6244 | − | 15.4520i | 0.905204 | − | 0.712749i | ||||
\(471\) | 0.826463i | 0.0380814i | ||||||||
\(472\) | −0.566983 | + | 17.3587i | −0.0260975 | + | 0.799000i | ||||
\(473\) | −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 | ||||
\(478\) | 22.2631 | − | 12.5325i | 1.01829 | − | 0.573224i | ||||
\(479\) | − | 17.2329i | − | 0.787393i | −0.919240 | − | 0.393697i | \(-0.871196\pi\) | ||
0.919240 | − | 0.393697i | \(-0.128804\pi\) | |||||||
\(480\) | −13.5068 | − | 6.09224i | −0.616496 | − | 0.278071i | ||||
\(481\) | −9.43255 | + | 1.91511i | −0.430087 | + | 0.0873214i | ||||
\(482\) | 22.3187 | − | 12.5638i | 1.01659 | − | 0.572267i | ||||
\(483\) | −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 | −0.0420947 | − | 0.999114i | \(-0.513403\pi\) |
0.999114 | + | 0.0420947i | \(0.0134031\pi\) | |||||||
\(488\) | 22.9638 | + | 0.750061i | 1.03952 | + | 0.0339537i | ||||
\(489\) | −10.8173 | −0.489173 | ||||||||
\(490\) | 3.84615 | − | 32.3342i | 0.173751 | − | 1.46071i | ||||
\(491\) | − | 16.7896i | − | 0.757704i | −0.925457 | − | 0.378852i | \(-0.876319\pi\) | ||
0.925457 | − | 0.378852i | \(-0.123681\pi\) | |||||||
\(492\) | −17.1874 | + | 4.20662i | −0.774867 | + | 0.189649i | ||||
\(493\) | −5.88339 | − | 5.88339i | −0.264975 | − | 0.264975i | ||||
\(494\) | 2.70389 | − | 37.2946i | 0.121654 | − | 1.67796i | ||||
\(495\) | −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 | ||||
\(498\) | −0.790699 | − | 1.40462i | −0.0354321 | − | 0.0629424i | ||||
\(499\) | − | 33.8593i | − | 1.51575i | −0.652399 | − | 0.757876i | \(-0.726237\pi\) | ||
0.652399 | − | 0.757876i | \(-0.273763\pi\) | |||||||
\(500\) | −17.0605 | + | 14.4547i | −0.762970 | + | 0.646434i | ||||
\(501\) | − | 9.33566i | − | 0.417086i | ||||||
\(502\) | −7.96359 | + | 4.48293i | −0.355432 | + | 0.200083i | ||||
\(503\) | −9.11180 | + | 9.11180i | −0.406275 | + | 0.406275i | −0.880437 | − | 0.474162i | \(-0.842751\pi\) |
0.474162 | + | 0.880437i | \(0.342751\pi\) | |||||||
\(504\) | −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 | ||||
\(508\) | 9.76375 | − | 2.38968i | 0.433196 | − | 0.106025i | ||||
\(509\) | 28.4383 | 1.26051 | 0.630253 | − | 0.776390i | \(-0.282951\pi\) | ||||
0.630253 | + | 0.776390i | \(0.282951\pi\) | |||||||
\(510\) | −1.83472 | + | 15.4243i | −0.0812429 | + | 0.683001i | ||||
\(511\) | 24.7338i | 1.09416i | ||||||||
\(512\) | 22.5190 | + | 2.21289i | 0.995206 | + | 0.0977967i | ||||
\(513\) | 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 | ||||
\(518\) | 7.70210 | + | 13.6822i | 0.338411 | + | 0.601161i | ||||
\(519\) | 4.58944 | 0.201454 | ||||||||
\(520\) | −7.21536 | − | 21.6319i | −0.316415 | − | 0.948621i | ||||
\(521\) | −16.5062 | −0.723149 | −0.361574 | − | 0.932343i | \(-0.617761\pi\) | ||||
−0.361574 | + | 0.932343i | \(0.617761\pi\) | |||||||
\(522\) | 2.24074 | + | 3.98050i | 0.0980745 | + | 0.174222i | ||||
\(523\) | 26.6496 | − | 26.6496i | 1.16531 | − | 1.16531i | 0.182010 | − | 0.983297i | \(-0.441740\pi\) |
0.983297 | − | 0.182010i | \(-0.0582604\pi\) | |||||||
\(524\) | −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 | ||||
\(528\) | −15.1994 | − | 4.79070i | −0.661468 | − | 0.208488i | ||||
\(529\) | 17.5324i | 0.762280i | ||||||||
\(530\) | −1.20977 | − | 1.53643i | −0.0525490 | − | 0.0667382i | ||||
\(531\) | −9.99568 | −0.433776 | ||||||||
\(532\) | −59.2490 | + | 14.5012i | −2.56877 | + | 0.628708i | ||||
\(533\) | −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 | ||||
\(538\) | 35.8047 | − | 20.1555i | 1.54365 | − | 0.868966i | ||||
\(539\) | − | 35.0220i | − | 1.50851i | ||||||
\(540\) | 9.24126 | − | 22.4132i | 0.397681 | − | 0.964509i | ||||
\(541\) | − | 5.74827i | − | 0.247137i | −0.992336 | − | 0.123569i | \(-0.960566\pi\) | ||
0.992336 | − | 0.123569i | \(-0.0394339\pi\) | |||||||
\(542\) | 4.44714 | + | 7.90001i | 0.191021 | + | 0.339335i | ||||
\(543\) | 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 | ||||
\(546\) | −1.79631 | + | 24.7765i | −0.0768750 | + | 1.06033i | ||||
\(547\) | −5.92809 | − | 5.92809i | −0.253467 | − | 0.253467i | 0.568924 | − | 0.822390i | \(-0.307360\pi\) |
−0.822390 | + | 0.568924i | \(0.807360\pi\) | |||||||
\(548\) | 2.16772 | − | 0.530551i | 0.0926004 | − | 0.0226640i | ||||
\(549\) | 13.2233i | 0.564355i | ||||||||
\(550\) | −16.3846 | + | 17.6052i | −0.698641 | + | 0.750688i | ||||
\(551\) | 14.5508 | 0.619886 | ||||||||
\(552\) | −0.252911 | + | 7.74310i | −0.0107646 | + | 0.329568i | ||||
\(553\) | 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 | \(0.951627\pi\) | |||||||
\(558\) | 8.89750 | − | 5.00866i | 0.376661 | − | 0.212033i | ||||
\(559\) | −0.556645 | − | 2.74166i | −0.0235436 | − | 0.115960i | ||||
\(560\) | −29.9621 | + | 22.0462i | −1.26613 | + | 0.931624i | ||||
\(561\) | 16.7065i | 0.705349i | ||||||||
\(562\) | 2.63494 | − | 1.48328i | 0.111148 | − | 0.0625686i | ||||
\(563\) | 18.8438 | − | 18.8438i | 0.794170 | − | 0.794170i | −0.187999 | − | 0.982169i | \(-0.560200\pi\) |
0.982169 | + | 0.187999i | \(0.0602002\pi\) | |||||||
\(564\) | 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 | ||||
\(568\) | −25.1605 | − | 0.821811i | −1.05571 | − | 0.0344824i | ||||
\(569\) | 6.29158i | 0.263757i | 0.991266 | + | 0.131878i | \(0.0421009\pi\) | ||||
−0.991266 | + | 0.131878i | \(0.957899\pi\) | |||||||
\(570\) | −16.8050 | − | 21.3426i | −0.703882 | − | 0.893943i | ||||
\(571\) | − | 1.50121i | − | 0.0628236i | −0.999507 | − | 0.0314118i | \(-0.990000\pi\) | ||
0.999507 | − | 0.0314118i | \(-0.0100003\pi\) | |||||||
\(572\) | −10.4542 | − | 22.1865i | −0.437113 | − | 0.927665i | ||||
\(573\) | −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 | \(0.428059\pi\) | |||||||
\(578\) | −0.719093 | + | 0.404798i | −0.0299103 | + | 0.0168374i | ||||
\(579\) | 14.3148i | 0.594902i | ||||||||
\(580\) | 8.19271 | − | 3.40912i | 0.340184 | − | 0.141556i | ||||
\(581\) | −4.04668 | −0.167885 | ||||||||
\(582\) | 4.18043 | + | 7.42621i | 0.173284 | + | 0.307826i | ||||
\(583\) | −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 | −0.915747 | − | 0.401756i | \(-0.868400\pi\) |
0.401756 | + | 0.915747i | \(0.368400\pi\) | |||||||
\(588\) | 23.4323 | − | 5.73507i | 0.966332 | − | 0.236510i | ||||
\(589\) | − | 32.5250i | − | 1.34017i | ||||||
\(590\) | −2.29360 | + | 19.2821i | −0.0944259 | + | 0.793830i | ||||
\(591\) | 10.3503 | 0.425755 | ||||||||
\(592\) | 3.20993 | − | 10.1841i | 0.131927 | − | 0.418563i | ||||
\(593\) | −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 | ||||
\(598\) | −9.01836 | + | 7.79909i | −0.368788 | + | 0.318928i | ||||
\(599\) | −2.19935 | −0.0898631 | −0.0449316 | − | 0.998990i | \(-0.514307\pi\) | ||||
−0.0449316 | + | 0.998990i | \(0.514307\pi\) | |||||||
\(600\) | −14.4622 | − | 8.07952i | −0.590418 | − | 0.329845i | ||||
\(601\) | −46.4120 | −1.89319 | −0.946593 | − | 0.322432i | \(-0.895500\pi\) | ||||
−0.946593 | + | 0.322432i | \(0.895500\pi\) | |||||||
\(602\) | −3.97687 | + | 2.23869i | −0.162085 | + | 0.0912423i | ||||
\(603\) | −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 | 0.211958 | − | 0.977279i | \(-0.432016\pi\) |
−0.977279 | + | 0.211958i | \(0.932016\pi\) | |||||||
\(608\) | 34.7442 | + | 22.6650i | 1.40906 | + | 0.919186i | ||||
\(609\) | −9.66675 | −0.391717 | ||||||||
\(610\) | 25.5082 | + | 3.03420i | 1.03280 | + | 0.122851i | ||||
\(611\) | 5.66650 | + | 27.9094i | 0.229242 | + | 1.12909i | ||||
\(612\) | 13.2604 | − | 3.24550i | 0.536021 | − | 0.131191i | ||||
\(613\) | −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 | \(0.980386\pi\) | |||||||
\(618\) | −27.1917 | + | 15.3070i | −1.09381 | + | 0.615737i | ||||
\(619\) | 25.4127i | 1.02142i | 0.859753 | + | 0.510711i | \(0.170618\pi\) | ||||
−0.859753 | + | 0.510711i | \(0.829382\pi\) | |||||||
\(620\) | −7.62029 | − | 18.3129i | −0.306038 | − | 0.735464i | ||||
\(621\) | −12.6759 | −0.508666 | ||||||||
\(622\) | −5.47299 | + | 3.08090i | −0.219447 | + | 0.123533i | ||||
\(623\) | −51.7477 | + | 51.7477i | −2.07323 | + | 2.07323i | ||||
\(624\) | 13.1325 | − | 10.6278i | 0.525719 | − | 0.425453i | ||||
\(625\) | −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 | ||||
\(628\) | −0.335459 | − | 1.37062i | −0.0133863 | − | 0.0546935i | ||||
\(629\) | −11.1939 | −0.446330 | ||||||||
\(630\) | −13.2443 | − | 16.8205i | −0.527665 | − | 0.670145i | ||||
\(631\) | 13.3790 | 0.532611 | 0.266306 | − | 0.963889i | \(-0.414197\pi\) | ||||
0.266306 | + | 0.963889i | \(0.414197\pi\) | |||||||
\(632\) | −37.4196 | − | 1.22223i | −1.48847 | − | 0.0486176i | ||||
\(633\) | −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 | ||||
\(638\) | 8.31684 | − | 4.68179i | 0.329267 | − | 0.185354i | ||||
\(639\) | − | 14.4882i | − | 0.573144i | ||||||
\(640\) | 24.8726 | + | 4.62108i | 0.983175 | + | 0.182664i | ||||
\(641\) | 11.8619 | 0.468515 | 0.234257 | − | 0.972175i | \(-0.424734\pi\) | ||||
0.234257 | + | 0.972175i | \(0.424734\pi\) | |||||||
\(642\) | −4.92497 | − | 8.74884i | −0.194373 | − | 0.345289i | ||||
\(643\) | 9.06620 | + | 9.06620i | 0.357536 | + | 0.357536i | 0.862904 | − | 0.505368i | \(-0.168643\pi\) |
−0.505368 | + | 0.862904i | \(0.668643\pi\) | |||||||
\(644\) | 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 | 0.873683 | − | 0.486495i | \(-0.161725\pi\) |
−0.486495 | + | 0.873683i | \(0.661725\pi\) | |||||||
\(648\) | 4.14626 | + | 0.135428i | 0.162881 | + | 0.00532012i | ||||
\(649\) | 20.8849i | 0.819804i | ||||||||
\(650\) | −5.96623 | − | 24.7872i | −0.234015 | − | 0.972233i | ||||
\(651\) | 21.6078i | 0.846876i | ||||||||
\(652\) | 17.9395 | − | 4.39069i | 0.702563 | − | 0.171953i | ||||
\(653\) | 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 | ||||
\(658\) | 40.4834 | − | 22.7893i | 1.57821 | − | 0.888419i | ||||
\(659\) | −21.0850 | −0.821357 | −0.410678 | − | 0.911780i | \(-0.634708\pi\) | ||||
−0.410678 | + | 0.911780i | \(0.634708\pi\) | |||||||
\(660\) | −16.4723 | − | 6.79176i | −0.641183 | − | 0.264369i | ||||
\(661\) | − | 45.4347i | − | 1.76721i | −0.468237 | − | 0.883603i | \(-0.655111\pi\) | ||
0.468237 | − | 0.883603i | \(-0.344889\pi\) | |||||||
\(662\) | −1.94556 | − | 3.45615i | −0.0756165 | − | 0.134327i | ||||
\(663\) | −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 | ||||
\(668\) | 3.78932 | + | 15.4824i | 0.146613 | + | 0.599031i | ||||
\(669\) | 12.4366 | 0.480825 | ||||||||
\(670\) | −13.3069 | + | 10.4777i | −0.514089 | + | 0.404789i | ||||
\(671\) | 27.6286 | 1.06659 | ||||||||
\(672\) | −23.0821 | − | 15.0573i | −0.890411 | − | 0.580849i | ||||
\(673\) | 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 | ||||
\(676\) | 25.7281 | + | 3.75032i | 0.989542 | + | 0.144243i | ||||
\(677\) | 29.0222 | − | 29.0222i | 1.11541 | − | 1.11541i | 0.123009 | − | 0.992406i | \(-0.460746\pi\) |
0.992406 | − | 0.123009i | \(-0.0392545\pi\) | |||||||
\(678\) | −9.68093 | − | 17.1974i | −0.371794 | − | 0.660464i | ||||
\(679\) | 21.3948 | 0.821057 | ||||||||
\(680\) | −3.21797 | − | 26.3246i | −0.123404 | − | 1.00950i | ||||
\(681\) | 19.8075i | 0.759023i | ||||||||
\(682\) | −10.4651 | − | 18.5904i | −0.400728 | − | 0.711862i | ||||
\(683\) | −12.9148 | − | 12.9148i | −0.494172 | − | 0.494172i | 0.415446 | − | 0.909618i | \(-0.363625\pi\) |
−0.909618 | + | 0.415446i | \(0.863625\pi\) | |||||||
\(684\) | −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 | ||||
\(688\) | 2.96011 | + | 0.932998i | 0.112853 | + | 0.0355702i | ||||
\(689\) | 2.18508 | − | 0.443641i | 0.0832450 | − | 0.0169014i | ||||
\(690\) | −1.02309 | + | 8.60103i | −0.0389484 | + | 0.327436i | ||||
\(691\) | 46.8753 | 1.78322 | 0.891611 | − | 0.452803i | \(-0.149576\pi\) | ||||
0.891611 | + | 0.452803i | \(0.149576\pi\) | |||||||
\(692\) | −7.61118 | + | 1.86284i | −0.289334 | + | 0.0708146i | ||||
\(693\) | −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 | ||||
\(698\) | 22.8550 | + | 40.6001i | 0.865074 | + | 1.53674i | ||||
\(699\) | −31.0681 | −1.17510 | ||||||||
\(700\) | −35.4864 | + | 21.6892i | −1.34126 | + | 0.819773i | ||||
\(701\) | −28.4061 | −1.07288 | −0.536441 | − | 0.843938i | \(-0.680232\pi\) | ||||
−0.536441 | + | 0.843938i | \(0.680232\pi\) | |||||||
\(702\) | 18.0813 | + | 20.9080i | 0.682433 | + | 0.789122i | ||||
\(703\) | 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 | ||||
\(708\) | −13.9735 | + | 3.42003i | −0.525157 | + | 0.128533i | ||||
\(709\) | 17.7546 | 0.666789 | 0.333395 | − | 0.942787i | \(-0.391806\pi\) | ||||
0.333395 | + | 0.942787i | \(0.391806\pi\) | |||||||
\(710\) | −27.9483 | − | 3.32444i | −1.04888 | − | 0.124764i | ||||
\(711\) | − | 21.5473i | − | 0.808089i | ||||||
\(712\) | 49.7431 | + | 1.62475i | 1.86420 | + | 0.0608899i | ||||
\(713\) | −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 | ||||
\(718\) | 11.8202 | − | 6.65391i | 0.441125 | − | 0.248322i | ||||
\(719\) | 37.6027 | 1.40234 | 0.701172 | − | 0.712992i | \(-0.252660\pi\) | ||||
0.701172 | + | 0.712992i | \(0.252660\pi\) | |||||||
\(720\) | −2.19081 | + | 14.3939i | −0.0816468 | + | 0.536431i | ||||
\(721\) | 78.3389i | 2.91749i | ||||||||
\(722\) | 24.1260 | + | 42.8580i | 0.897877 | + | 1.59501i | ||||
\(723\) | 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 | 0.968364 | − | 0.249543i | \(-0.0802803\pi\) |
−0.249543 | + | 0.968364i | \(0.580280\pi\) | |||||||
\(728\) | −7.07767 | − | 41.8187i | −0.262316 | − | 1.54990i | ||||
\(729\) | 21.4381i | 0.794004i | ||||||||
\(730\) | 14.7757 | − | 11.6343i | 0.546874 | − | 0.430603i | ||||
\(731\) | − | 3.25362i | − | 0.120340i | ||||||
\(732\) | 4.52435 | + | 18.4856i | 0.167225 | + | 0.683246i | ||||
\(733\) | 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 | ||||
\(738\) | 8.52922 | + | 15.1515i | 0.313965 | + | 0.557735i | ||||
\(739\) | 16.2811i | 0.598908i | 0.954111 | + | 0.299454i | \(0.0968046\pi\) | ||||
−0.954111 | + | 0.299454i | \(0.903195\pi\) | |||||||
\(740\) | 4.55070 | − | 11.0370i | 0.167287 | − | 0.405728i | ||||
\(741\) | 30.3531 | − | 6.16264i | 1.11505 | − | 0.226390i | ||||
\(742\) | −1.78422 | − | 3.16952i | −0.0655007 | − | 0.116357i | ||||
\(743\) | 16.8082 | + | 16.8082i | 0.616634 | + | 0.616634i | 0.944666 | − | 0.328033i | \(-0.106386\pi\) |
−0.328033 | + | 0.944666i | \(0.606386\pi\) | |||||||
\(744\) | 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 | ||||
\(748\) | −6.78112 | − | 27.7062i | −0.247942 | − | 1.01304i | ||||
\(749\) | −25.2053 | −0.920981 | ||||||||
\(750\) | −15.3363 | − | 10.3847i | −0.560002 | − | 0.379195i | ||||
\(751\) | − | 17.9246i | − | 0.654080i | −0.945011 | − | 0.327040i | \(-0.893949\pi\) | ||
0.945011 | − | 0.327040i | \(-0.106051\pi\) | |||||||
\(752\) | −30.1331 | − | 9.49766i | −1.09884 | − | 0.346344i | ||||
\(753\) | −5.35252 | − | 5.35252i | −0.195057 | − | 0.195057i | ||||
\(754\) | −0.731611 | + | 10.0911i | −0.0266437 | + | 0.367496i | ||||
\(755\) | 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 | \(0.00638974\pi\) | |||||||
\(758\) | 26.1364 | − | 14.7130i | 0.949318 | − | 0.534399i | ||||
\(759\) | 9.31600i | 0.338149i | ||||||||
\(760\) | 36.5324 | + | 28.5737i | 1.32517 | + | 1.03648i | ||||
\(761\) | 39.0244i | 1.41463i | 0.706897 | + | 0.707316i | \(0.250094\pi\) | ||||
−0.706897 | + | 0.707316i | \(0.749906\pi\) | |||||||
\(762\) | 4.08431 | + | 7.25546i | 0.147959 | + | 0.262837i | ||||
\(763\) | 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 | ||||
\(768\) | 3.25821 | + | 18.4570i | 0.117571 | + | 0.666009i | ||||
\(769\) | −0.308598 | −0.0111283 | −0.00556416 | − | 0.999985i | \(-0.501771\pi\) | ||||
−0.00556416 | + | 0.999985i | \(0.501771\pi\) | |||||||
\(770\) | −35.1446 | + | 27.6725i | −1.26652 | + | 0.997249i | ||||
\(771\) | − | 17.3683i | − | 0.625504i | ||||||
\(772\) | −5.81033 | − | 23.7398i | −0.209118 | − | 0.854413i | ||||
\(773\) | 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 | ||||
\(778\) | 14.7950 | − | 8.32853i | 0.530426 | − | 0.298592i | ||||
\(779\) | 55.3867 | 1.98444 | ||||||||
\(780\) | 15.6462 | − | 10.5812i | 0.560223 | − | 0.378869i | ||||
\(781\) | −30.2715 | −1.08320 | ||||||||
\(782\) | −12.0834 | + | 6.80211i | −0.432102 | + | 0.243243i | ||||
\(783\) | −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 | \(-0.360307\pi\) |
0.905238 | − | 0.424906i | \(-0.139693\pi\) | |||||||
\(788\) | −17.1651 | + | 4.20117i | −0.611481 | + | 0.149660i | ||||
\(789\) | − | 10.8244i | − | 0.385358i | ||||||
\(790\) | −41.5657 | − | 4.94423i | −1.47884 | − | 0.175908i | ||||
\(791\) | −49.5456 | −1.76164 | ||||||||
\(792\) | −0.511213 | + | 15.6513i | −0.0181652 | + | 0.556143i | ||||
\(793\) | −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 | \(0.444120\pi\) | |||||||
\(798\) | −24.7846 | − | 44.0280i | −0.877367 | − | 1.55858i | ||||
\(799\) | 33.1210i | 1.17174i | ||||||||
\(800\) | 27.2638 | + | 7.52899i | 0.963921 | + | 0.266190i | ||||
\(801\) | 28.6436i | 1.01207i | ||||||||
\(802\) | −13.2429 | + | 7.45480i | −0.467622 | + | 0.263238i | ||||
\(803\) | 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 | ||||
\(806\) | 22.5563 | + | 1.63535i | 0.794512 | + | 0.0576027i | ||||
\(807\) | 24.0652 | + | 24.0652i | 0.847135 | + | 0.847135i | ||||
\(808\) | 6.13199 | + | 0.200288i | 0.215723 | + | 0.00704609i | ||||
\(809\) | − | 29.5735i | − | 1.03975i | −0.854243 | − | 0.519874i | \(-0.825979\pi\) | ||
0.854243 | − | 0.519874i | \(-0.174021\pi\) | |||||||
\(810\) | 4.60567 | + | 0.547843i | 0.161827 | + | 0.0192493i | ||||
\(811\) | −8.80243 | −0.309095 | −0.154548 | − | 0.987985i | \(-0.549392\pi\) | ||||
−0.154548 | + | 0.987985i | \(0.549392\pi\) | |||||||
\(812\) | 16.0315 | − | 3.92371i | 0.562594 | − | 0.137695i | ||||
\(813\) | −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 | ||||
\(818\) | −17.3923 | − | 30.8960i | −0.608106 | − | 1.08025i | ||||
\(819\) | 23.9218 | − | 4.85689i | 0.835896 | − | 0.169713i | ||||
\(820\) | 31.1850 | − | 12.9766i | 1.08903 | − | 0.453161i | ||||
\(821\) | 22.9355i | 0.800456i | 0.916416 | + | 0.400228i | \(0.131069\pi\) | ||||
−0.916416 | + | 0.400228i | \(0.868931\pi\) | |||||||
\(822\) | 0.906786 | + | 1.61084i | 0.0316278 | + | 0.0561844i | ||||
\(823\) | −31.1108 | + | 31.1108i | −1.08446 | + | 1.08446i | −0.0883682 | + | 0.996088i | \(0.528165\pi\) |
−0.996088 | + | 0.0883682i | \(0.971835\pi\) | |||||||
\(824\) | 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 | −0.579218 | − | 0.815173i | \(-0.696642\pi\) |
0.815173 | + | 0.579218i | \(0.196642\pi\) | |||||||
\(828\) | 7.39438 | − | 1.80978i | 0.256972 | − | 0.0628942i | ||||
\(829\) | − | 8.41984i | − | 0.292433i | −0.989253 | − | 0.146217i | \(-0.953290\pi\) | ||
0.989253 | − | 0.146217i | \(-0.0467097\pi\) | |||||||
\(830\) | 1.90348 | + | 2.41745i | 0.0660706 | + | 0.0839109i | ||||
\(831\) | − | 6.89985i | − | 0.239353i | ||||||
\(832\) | −17.4652 | + | 22.9557i | −0.605498 | + | 0.795847i | ||||
\(833\) | 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 | ||||
\(838\) | 16.2317 | + | 28.8344i | 0.560715 | + | 0.996068i | ||||
\(839\) | − | 40.2917i | − | 1.39103i | −0.718514 | − | 0.695513i | \(-0.755177\pi\) | ||
0.718514 | − | 0.695513i | \(-0.244823\pi\) | |||||||
\(840\) | −24.2701 | − | 18.9828i | −0.837398 | − | 0.654968i | ||||
\(841\) | 25.0629 | 0.864237 | ||||||||
\(842\) | −22.6221 | + | 12.7346i | −0.779608 | + | 0.438864i | ||||
\(843\) | 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 | ||||
\(848\) | −0.743590 | + | 2.35918i | −0.0255350 | + | 0.0810145i | ||||
\(849\) | 24.1698i | 0.829504i | ||||||||
\(850\) | −1.06412 | − | 29.6318i | −0.0364990 | − | 1.01636i | ||||
\(851\) | −6.24203 | −0.213974 | ||||||||
\(852\) | −4.95714 | − | 20.2539i | −0.169829 | − | 0.693886i | ||||
\(853\) | 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 | \(0.388602\pi\) | |||||||
\(858\) | 15.3661 | − | 13.2886i | 0.524590 | − | 0.453666i | ||||
\(859\) | −24.9704 | −0.851980 | −0.425990 | − | 0.904728i | \(-0.640074\pi\) | ||||
−0.425990 | + | 0.904728i | \(0.640074\pi\) | |||||||
\(860\) | 3.20801 | + | 1.32271i | 0.109392 | + | 0.0451040i | ||||
\(861\) | −36.7958 | −1.25400 | ||||||||
\(862\) | 8.05083 | + | 14.3017i | 0.274212 | + | 0.487117i | ||||
\(863\) | 21.9784 | + | 21.9784i | 0.748152 | + | 0.748152i | 0.974132 | − | 0.225980i | \(-0.0725584\pi\) |
−0.225980 | + | 0.974132i | \(0.572558\pi\) | |||||||
\(864\) | −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 | ||||
\(868\) | −8.77054 | − | 35.8346i | −0.297692 | − | 1.21631i | ||||
\(869\) | −45.0209 | −1.52723 | ||||||||
\(870\) | 4.54705 | + | 5.77483i | 0.154159 | + | 0.195785i | ||||
\(871\) | −3.84233 | − | 18.9248i | −0.130192 | − | 0.641242i | ||||
\(872\) | −18.6135 | − | 0.607967i | −0.630332 | − | 0.0205884i | ||||
\(873\) | 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 | \(0.673388\pi\) | |||||||
\(878\) | 8.60175 | + | 15.2804i | 0.290295 | + | 0.515687i | ||||
\(879\) | 18.5562i | 0.625884i | ||||||||
\(880\) | 30.0746 | + | 4.57747i | 1.01381 | + | 0.154307i | ||||
\(881\) | 44.8852 | 1.51222 | 0.756111 | − | 0.654443i | \(-0.227097\pi\) | ||||
0.756111 | + | 0.654443i | \(0.227097\pi\) | |||||||
\(882\) | −11.6283 | − | 20.6567i | −0.391544 | − | 0.695548i | ||||
\(883\) | −16.4821 | + | 16.4821i | −0.554666 | + | 0.554666i | −0.927784 | − | 0.373118i | \(-0.878289\pi\) |
0.373118 | + | 0.927784i | \(0.378289\pi\) | |||||||
\(884\) | 28.4557 | + | 10.2280i | 0.957070 | + | 0.344007i | ||||
\(885\) | −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 | \(-0.990418\pi\) |
−0.0300985 | − | 0.999547i | \(-0.509582\pi\) | |||||||
\(888\) | 8.83990 | + | 0.288735i | 0.296647 | + | 0.00968931i | ||||
\(889\) | 20.9029 | 0.701060 | ||||||||
\(890\) | 55.2547 | + | 6.57253i | 1.85214 | + | 0.220312i | ||||
\(891\) | 4.98852 | 0.167122 | ||||||||
\(892\) | −20.6249 | + | 5.04797i | −0.690574 | + | 0.169018i | ||||
\(893\) | −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 | ||||
\(898\) | −14.4530 | − | 25.6746i | −0.482302 | − | 0.856772i | ||||
\(899\) | 8.80054i | 0.293514i | ||||||||
\(900\) | −3.81856 | + | 15.8240i | −0.127285 | + | 0.527468i | ||||
\(901\) | 2.59311 | 0.0863889 | ||||||||
\(902\) | 31.6575 | − | 17.8209i | 1.05408 | − | 0.593371i | ||||
\(903\) | −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 | 0.248244 | − | 0.968697i | \(-0.420146\pi\) |
−0.968697 | + | 0.248244i | \(0.920146\pi\) | |||||||
\(908\) | −8.03979 | − | 32.8489i | −0.266810 | − | 1.09013i | ||||
\(909\) | 3.53099i | 0.117115i | ||||||||
\(910\) | −3.88006 | − | 47.2606i | −0.128623 | − | 1.56667i | ||||
\(911\) | 27.2309i | 0.902201i | 0.892473 | + | 0.451100i | \(0.148968\pi\) | ||||
−0.892473 | + | 0.451100i | \(0.851032\pi\) | |||||||
\(912\) | −10.3293 | + | 32.7715i | −0.342036 | + | 1.08517i | ||||
\(913\) | 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 | ||||
\(918\) | 15.7699 | + | 28.0140i | 0.520483 | + | 0.924599i | ||||
\(919\) | −54.2372 | −1.78912 | −0.894559 | − | 0.446949i | \(-0.852511\pi\) | ||||
−0.894559 | + | 0.446949i | \(0.852511\pi\) | |||||||
\(920\) | −1.79443 | − | 14.6793i | −0.0591606 | − | 0.483963i | ||||
\(921\) | − | 28.7625i | − | 0.947758i | ||||||
\(922\) | −0.664728 | + | 0.374194i | −0.0218916 | + | 0.0123234i | ||||
\(923\) | 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 | ||||
\(928\) | −9.40101 | − | 6.13264i | −0.308603 | − | 0.201314i | ||||
\(929\) | 28.8893 | 0.947826 | 0.473913 | − | 0.880572i | \(-0.342841\pi\) | ||||
0.473913 | + | 0.880572i | \(0.342841\pi\) | |||||||
\(930\) | 12.9083 | − | 10.1639i | 0.423280 | − | 0.333286i | ||||
\(931\) | −75.5112 | −2.47478 | ||||||||
\(932\) | 51.5237 | − | 12.6105i | 1.68771 | − | 0.413069i | ||||
\(933\) | −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 | ||||
\(936\) | −13.5327 | − | 9.61499i | −0.442329 | − | 0.314276i | ||||
\(937\) | −10.0842 | + | 10.0842i | −0.329438 | + | 0.329438i | −0.852373 | − | 0.522935i | \(-0.824837\pi\) |
0.522935 | + | 0.852373i | \(0.324837\pi\) | |||||||
\(938\) | −27.4510 | + | 15.4529i | −0.896306 | + | 0.504556i | ||||
\(939\) | −1.59204 | −0.0519541 | ||||||||
\(940\) | −32.6567 | − | 13.4648i | −1.06514 | − | 0.439174i | ||||
\(941\) | − | 14.1759i | − | 0.462120i | −0.972940 | − | 0.231060i | \(-0.925781\pi\) | ||
0.972940 | − | 0.231060i | \(-0.0742194\pi\) | |||||||
\(942\) | 1.01851 | − | 0.573347i | 0.0331848 | − | 0.0186807i | ||||
\(943\) | −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 | −0.668441 | − | 0.743765i | \(-0.733038\pi\) |
0.743765 | + | 0.668441i | \(0.233038\pi\) | |||||||
\(948\) | −7.37244 | − | 30.1223i | −0.239446 | − | 0.978326i | ||||
\(949\) | 4.26646 | + | 21.0138i | 0.138495 | + | 0.682136i | ||||
\(950\) | 37.9587 | + | 35.3269i | 1.23154 | + | 1.14615i | ||||
\(951\) | 12.9492 | 0.419906 | ||||||||
\(952\) | 1.61029 | − | 49.3006i | 0.0521899 | − | 1.59784i | ||||
\(953\) | −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 | ||||
\(958\) | −21.2373 | + | 11.9551i | −0.686147 | + | 0.386252i | ||||
\(959\) | 4.64080 | 0.149859 | ||||||||
\(960\) | 1.86224 | + | 20.8717i | 0.0601034 | + | 0.673631i | ||||
\(961\) | −11.3284 | −0.365433 | ||||||||
\(962\) | 8.90381 | + | 10.2958i | 0.287070 | + | 0.331950i | ||||
\(963\) | −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 | −0.862821 | − | 0.505510i | \(-0.831304\pi\) |
0.505510 | + | 0.862821i | \(0.331304\pi\) | |||||||
\(968\) | 1.60553 | + | 0.0524408i | 0.0516035 | + | 0.00168551i | ||||
\(969\) | 36.0210 | 1.15716 | ||||||||
\(970\) | −10.0637 | − | 12.7811i | −0.323125 | − | 0.410375i | ||||
\(971\) | − | 4.15527i | − | 0.133349i | −0.997775 | − | 0.0666745i | \(-0.978761\pi\) | ||
0.997775 | − | 0.0666745i | \(-0.0212389\pi\) | |||||||
\(972\) | −6.91567 | − | 28.2560i | −0.221820 | − | 0.906311i | ||||
\(973\) | −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 | \(-0.532814\pi\) | |||||||
\(978\) | 7.50431 | + | 13.3308i | 0.239961 | + | 0.426273i | ||||
\(979\) | 59.8477 | 1.91274 | ||||||||
\(980\) | −42.5159 | + | 17.6915i | −1.35812 | + | 0.565135i | ||||
\(981\) | − | 10.7182i | − | 0.342206i | ||||||
\(982\) | −20.6910 | + | 11.6475i | −0.660275 | + | 0.371688i | ||||
\(983\) | −17.3327 | − | 17.3327i | −0.552827 | − | 0.552827i | 0.374429 | − | 0.927256i | \(-0.377839\pi\) |
−0.927256 | + | 0.374429i | \(0.877839\pi\) | |||||||
\(984\) | 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 | ||||
\(988\) | −47.8365 | + | 22.5404i | −1.52188 | + | 0.717106i | ||||
\(989\) | − | 1.81431i | − | 0.0576917i | ||||||
\(990\) | −2.06799 | + | 17.3854i | −0.0657251 | + | 0.552545i | ||||
\(991\) | 52.6971i | 1.67398i | 0.547220 | + | 0.836989i | \(0.315686\pi\) | ||||
−0.547220 | + | 0.836989i | \(0.684314\pi\) | |||||||
\(992\) | −13.7081 | + | 21.0138i | −0.435232 | + | 0.667188i | ||||
\(993\) | 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 | \(0.0187533\pi\) | |||||||
\(998\) | −41.7271 | + | 23.4894i | −1.32085 | + | 0.743544i | ||||
\(999\) | 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.103.11 | yes | 64 | |
4.3 | odd | 2 | inner | 260.2.p.d.103.6 | ✓ | 64 | |
5.2 | odd | 4 | inner | 260.2.p.d.207.27 | yes | 64 | |
13.12 | even | 2 | inner | 260.2.p.d.103.22 | yes | 64 | |
20.7 | even | 4 | inner | 260.2.p.d.207.22 | yes | 64 | |
52.51 | odd | 2 | inner | 260.2.p.d.103.27 | yes | 64 | |
65.12 | odd | 4 | inner | 260.2.p.d.207.6 | yes | 64 | |
260.207 | even | 4 | inner | 260.2.p.d.207.11 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
260.2.p.d.103.6 | ✓ | 64 | 4.3 | odd | 2 | inner | |
260.2.p.d.103.11 | yes | 64 | 1.1 | even | 1 | trivial | |
260.2.p.d.103.22 | yes | 64 | 13.12 | even | 2 | inner | |
260.2.p.d.103.27 | yes | 64 | 52.51 | odd | 2 | inner | |
260.2.p.d.207.6 | yes | 64 | 65.12 | odd | 4 | inner | |
260.2.p.d.207.11 | yes | 64 | 260.207 | even | 4 | inner | |
260.2.p.d.207.22 | yes | 64 | 20.7 | even | 4 | inner | |
260.2.p.d.207.27 | yes | 64 | 5.2 | odd | 4 | inner |