Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [125,2,Mod(4,125)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(125, base_ring=CyclotomicField(50))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("125.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 125 = 5^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 125.h (of order \(50\), degree \(20\), 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: | \(0.998130025266\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{50})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{50}]$ |
Embedding invariants
Embedding label | 9.3 | ||
Character | \(\chi\) | \(=\) | 125.9 |
Dual form | 125.2.h.a.14.3 |
$q$-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 \(\left(\mathbb{Z}/125\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{7}{50}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.61529 | − | 0.760100i | −1.14219 | − | 0.537472i | −0.240837 | − | 0.970566i | \(-0.577422\pi\) |
−0.901349 | + | 0.433094i | \(0.857422\pi\) | |||||||
\(3\) | 2.82599 | − | 0.177796i | 1.63159 | − | 0.102651i | 0.779623 | − | 0.626249i | \(-0.215411\pi\) |
0.851965 | + | 0.523598i | \(0.175411\pi\) | |||||||
\(4\) | 0.756578 | + | 0.914545i | 0.378289 | + | 0.457273i | ||||
\(5\) | 2.02990 | − | 0.937822i | 0.907798 | − | 0.419407i | ||||
\(6\) | −4.69996 | − | 1.86084i | −1.91875 | − | 0.759687i | ||||
\(7\) | −1.81397 | + | 0.589394i | −0.685615 | + | 0.222770i | −0.631052 | − | 0.775740i | \(-0.717377\pi\) |
−0.0545631 | + | 0.998510i | \(0.517377\pi\) | |||||||
\(8\) | 0.360971 | + | 1.40589i | 0.127623 | + | 0.497057i | ||||
\(9\) | 4.97829 | − | 0.628904i | 1.65943 | − | 0.209635i | ||||
\(10\) | −3.99172 | − | 0.0280665i | −1.26229 | − | 0.00887539i | ||||
\(11\) | −1.99320 | + | 4.23577i | −0.600972 | + | 1.27713i | 0.340564 | + | 0.940221i | \(0.389382\pi\) |
−0.941537 | + | 0.336910i | \(0.890618\pi\) | |||||||
\(12\) | 2.30069 | + | 2.44998i | 0.664151 | + | 0.707249i | ||||
\(13\) | −0.745123 | − | 5.89826i | −0.206660 | − | 1.63588i | −0.664813 | − | 0.747009i | \(-0.731489\pi\) |
0.458153 | − | 0.888873i | \(-0.348511\pi\) | |||||||
\(14\) | 3.37809 | + | 0.426752i | 0.902833 | + | 0.114054i | ||||
\(15\) | 5.56974 | − | 3.01119i | 1.43810 | − | 0.777486i | ||||
\(16\) | 0.930359 | − | 4.87711i | 0.232590 | − | 1.21928i | ||||
\(17\) | −2.37257 | − | 1.96276i | −0.575432 | − | 0.476039i | 0.303601 | − | 0.952799i | \(-0.401811\pi\) |
−0.879033 | + | 0.476760i | \(0.841811\pi\) | |||||||
\(18\) | −8.51943 | − | 2.76813i | −2.00805 | − | 0.652455i | ||||
\(19\) | −0.199064 | + | 3.16404i | −0.0456685 | + | 0.725880i | 0.906860 | + | 0.421431i | \(0.138472\pi\) |
−0.952529 | + | 0.304449i | \(0.901528\pi\) | |||||||
\(20\) | 2.39346 | + | 1.14690i | 0.535193 | + | 0.256454i | ||||
\(21\) | −5.02147 | + | 1.98814i | −1.09577 | + | 0.433848i | ||||
\(22\) | 6.43921 | − | 5.32698i | 1.37284 | − | 1.13572i | ||||
\(23\) | 0.681123 | + | 1.23896i | 0.142024 | + | 0.258341i | 0.937746 | − | 0.347321i | \(-0.112909\pi\) |
−0.795722 | + | 0.605662i | \(0.792909\pi\) | |||||||
\(24\) | 1.27006 | + | 3.90886i | 0.259251 | + | 0.797892i | ||||
\(25\) | 3.24098 | − | 3.80737i | 0.648196 | − | 0.761474i | ||||
\(26\) | −3.27967 | + | 10.0938i | −0.643197 | + | 1.97956i | ||||
\(27\) | 5.61251 | − | 1.07064i | 1.08013 | − | 0.206046i | ||||
\(28\) | −1.91143 | − | 1.21303i | −0.361227 | − | 0.229242i | ||||
\(29\) | −4.62347 | + | 7.28543i | −0.858557 | + | 1.35287i | 0.0760188 | + | 0.997106i | \(0.475779\pi\) |
−0.934576 | + | 0.355763i | \(0.884221\pi\) | |||||||
\(30\) | −11.2856 | + | 0.630399i | −2.06046 | + | 0.115095i | ||||
\(31\) | −1.28830 | + | 1.55728i | −0.231385 | + | 0.279696i | −0.873408 | − | 0.486989i | \(-0.838095\pi\) |
0.642023 | + | 0.766685i | \(0.278095\pi\) | |||||||
\(32\) | −3.50357 | + | 4.82225i | −0.619349 | + | 0.852461i | ||||
\(33\) | −4.87967 | + | 12.3246i | −0.849441 | + | 2.14544i | ||||
\(34\) | 2.34050 | + | 4.97382i | 0.401393 | + | 0.853004i | ||||
\(35\) | −3.12942 | + | 2.89759i | −0.528969 | + | 0.489782i | ||||
\(36\) | 4.34162 | + | 4.07705i | 0.723604 | + | 0.679509i | ||||
\(37\) | −3.43526 | − | 0.655311i | −0.564754 | − | 0.107733i | −0.102905 | − | 0.994691i | \(-0.532814\pi\) |
−0.461849 | + | 0.886959i | \(0.652814\pi\) | |||||||
\(38\) | 2.72653 | − | 4.95954i | 0.442302 | − | 0.804544i | ||||
\(39\) | −3.15440 | − | 16.5360i | −0.505109 | − | 2.64787i | ||||
\(40\) | 2.05121 | + | 2.51529i | 0.324325 | + | 0.397702i | ||||
\(41\) | 4.91500 | + | 2.70204i | 0.767594 | + | 0.421988i | 0.816888 | − | 0.576796i | \(-0.195697\pi\) |
−0.0492943 | + | 0.998784i | \(0.515697\pi\) | |||||||
\(42\) | 9.62234 | + | 0.605386i | 1.48476 | + | 0.0934131i | ||||
\(43\) | 0.193730 | + | 0.266646i | 0.0295435 | + | 0.0406632i | 0.823533 | − | 0.567268i | \(-0.192000\pi\) |
−0.793990 | + | 0.607931i | \(0.792000\pi\) | |||||||
\(44\) | −5.38181 | + | 1.38181i | −0.811338 | + | 0.208316i | ||||
\(45\) | 9.51562 | − | 5.94536i | 1.41850 | − | 0.886282i | ||||
\(46\) | −0.158482 | − | 2.51901i | −0.0233670 | − | 0.371407i | ||||
\(47\) | 0.480975 | − | 1.87327i | 0.0701574 | − | 0.273245i | −0.923820 | − | 0.382826i | \(-0.874951\pi\) |
0.993978 | + | 0.109581i | \(0.0349509\pi\) | |||||||
\(48\) | 1.76206 | − | 13.9481i | 0.254331 | − | 2.01324i | ||||
\(49\) | −2.72003 | + | 1.97622i | −0.388575 | + | 0.282316i | ||||
\(50\) | −8.12912 | + | 3.68656i | −1.14963 | + | 0.521358i | ||||
\(51\) | −7.05383 | − | 5.12491i | −0.987734 | − | 0.717631i | ||||
\(52\) | 4.83048 | − | 5.14394i | 0.669867 | − | 0.713336i | ||||
\(53\) | −0.374304 | − | 0.945383i | −0.0514146 | − | 0.129858i | 0.901799 | − | 0.432155i | \(-0.142247\pi\) |
−0.953214 | + | 0.302297i | \(0.902247\pi\) | |||||||
\(54\) | −9.87966 | − | 2.53667i | −1.34445 | − | 0.345196i | ||||
\(55\) | −0.0735983 | + | 10.4674i | −0.00992399 | + | 1.41143i | ||||
\(56\) | −1.48341 | − | 2.33748i | −0.198229 | − | 0.312359i | ||||
\(57\) | 8.97694i | 1.18903i | ||||||||
\(58\) | 13.0059 | − | 8.25381i | 1.70776 | − | 1.08378i | ||||
\(59\) | 1.07044 | − | 1.00521i | 0.139359 | − | 0.130867i | −0.611733 | − | 0.791064i | \(-0.709527\pi\) |
0.751092 | + | 0.660197i | \(0.229527\pi\) | |||||||
\(60\) | 6.96781 | + | 2.81558i | 0.899540 | + | 0.363490i | ||||
\(61\) | 9.67774 | − | 5.32038i | 1.23911 | − | 0.681205i | 0.278854 | − | 0.960333i | \(-0.410045\pi\) |
0.960254 | + | 0.279128i | \(0.0900454\pi\) | |||||||
\(62\) | 3.26467 | − | 1.53624i | 0.414613 | − | 0.195102i | ||||
\(63\) | −8.65978 | + | 4.07498i | −1.09103 | + | 0.513399i | ||||
\(64\) | 0.622862 | − | 0.342421i | 0.0778577 | − | 0.0428027i | ||||
\(65\) | −7.04404 | − | 11.2741i | −0.873706 | − | 1.39838i | ||||
\(66\) | 17.2501 | − | 16.1989i | 2.12334 | − | 1.99394i | ||||
\(67\) | 0.882343 | − | 0.559952i | 0.107795 | − | 0.0684090i | −0.480836 | − | 0.876810i | \(-0.659667\pi\) |
0.588632 | + | 0.808401i | \(0.299667\pi\) | |||||||
\(68\) | − | 3.65480i | − | 0.443210i | ||||||
\(69\) | 2.14513 | + | 3.38019i | 0.258244 | + | 0.406927i | ||||
\(70\) | 7.25740 | − | 2.30179i | 0.867425 | − | 0.275116i | ||||
\(71\) | 5.55503 | + | 1.42629i | 0.659261 | + | 0.169269i | 0.563476 | − | 0.826133i | \(-0.309464\pi\) |
0.0957849 | + | 0.995402i | \(0.469464\pi\) | |||||||
\(72\) | 2.68119 | + | 6.77190i | 0.315981 | + | 0.798077i | ||||
\(73\) | −5.92827 | + | 6.31297i | −0.693852 | + | 0.738877i | −0.975345 | − | 0.220686i | \(-0.929170\pi\) |
0.281493 | + | 0.959563i | \(0.409170\pi\) | |||||||
\(74\) | 5.05086 | + | 3.66967i | 0.587151 | + | 0.426590i | ||||
\(75\) | 8.48205 | − | 11.3358i | 0.979423 | − | 1.30895i | ||||
\(76\) | −3.04426 | + | 2.21179i | −0.349201 | + | 0.253709i | ||||
\(77\) | 1.11907 | − | 8.85832i | 0.127529 | − | 1.00950i | ||||
\(78\) | −7.47370 | + | 29.1081i | −0.846229 | + | 3.29585i | ||||
\(79\) | −1.07167 | − | 17.0337i | −0.120572 | − | 1.91644i | −0.339337 | − | 0.940665i | \(-0.610203\pi\) |
0.218765 | − | 0.975778i | \(-0.429797\pi\) | |||||||
\(80\) | −2.68533 | − | 10.7726i | −0.300229 | − | 1.20441i | ||||
\(81\) | 1.08994 | − | 0.279850i | 0.121105 | − | 0.0310944i | ||||
\(82\) | −5.88535 | − | 8.10049i | −0.649928 | − | 0.894549i | ||||
\(83\) | 8.34277 | + | 0.524883i | 0.915738 | + | 0.0576134i | 0.513662 | − | 0.857993i | \(-0.328289\pi\) |
0.402076 | + | 0.915606i | \(0.368289\pi\) | |||||||
\(84\) | −5.61737 | − | 3.08818i | −0.612906 | − | 0.336948i | ||||
\(85\) | −6.65679 | − | 1.75915i | −0.722030 | − | 0.190807i | ||||
\(86\) | −0.110253 | − | 0.577966i | −0.0118889 | − | 0.0623237i | ||||
\(87\) | −11.7706 | + | 21.4106i | −1.26194 | + | 2.29546i | ||||
\(88\) | −6.67450 | − | 1.27323i | −0.711505 | − | 0.135727i | ||||
\(89\) | 6.29473 | + | 5.91115i | 0.667240 | + | 0.626580i | 0.942269 | − | 0.334856i | \(-0.108688\pi\) |
−0.275029 | + | 0.961436i | \(0.588688\pi\) | |||||||
\(90\) | −19.8896 | + | 2.37069i | −2.09655 | + | 0.249892i | ||||
\(91\) | 4.82803 | + | 10.2601i | 0.506115 | + | 1.07555i | ||||
\(92\) | −0.617761 | + | 1.56029i | −0.0644061 | + | 0.162671i | ||||
\(93\) | −3.36384 | + | 4.62993i | −0.348814 | + | 0.480101i | ||||
\(94\) | −2.20079 | + | 2.66030i | −0.226994 | + | 0.274389i | ||||
\(95\) | 2.56322 | + | 6.60936i | 0.262981 | + | 0.678106i | ||||
\(96\) | −9.04368 | + | 14.2506i | −0.923017 | + | 1.45444i | ||||
\(97\) | −8.57031 | − | 5.43888i | −0.870183 | − | 0.552235i | 0.0241139 | − | 0.999709i | \(-0.492324\pi\) |
−0.894297 | + | 0.447474i | \(0.852324\pi\) | |||||||
\(98\) | 5.89577 | − | 1.12468i | 0.595562 | − | 0.113610i | ||||
\(99\) | −7.25883 | + | 22.3404i | −0.729540 | + | 2.24529i | ||||
\(100\) | 5.93406 | + | 0.0834509i | 0.593406 | + | 0.00834509i | ||||
\(101\) | −2.10670 | − | 6.48376i | −0.209625 | − | 0.645158i | −0.999492 | − | 0.0318801i | \(-0.989851\pi\) |
0.789867 | − | 0.613278i | \(-0.210149\pi\) | |||||||
\(102\) | 7.49858 | + | 13.6399i | 0.742470 | + | 1.35055i | ||||
\(103\) | 4.79430 | − | 3.96619i | 0.472396 | − | 0.390800i | −0.370537 | − | 0.928818i | \(-0.620826\pi\) |
0.842934 | + | 0.538017i | \(0.180826\pi\) | |||||||
\(104\) | 8.02333 | − | 3.17666i | 0.786752 | − | 0.311497i | ||||
\(105\) | −8.32855 | + | 8.74497i | −0.812783 | + | 0.853422i | ||||
\(106\) | −0.113975 | + | 1.81158i | −0.0110702 | + | 0.175956i | ||||
\(107\) | −0.443352 | − | 0.144054i | −0.0428605 | − | 0.0139262i | 0.287508 | − | 0.957778i | \(-0.407173\pi\) |
−0.330369 | + | 0.943852i | \(0.607173\pi\) | |||||||
\(108\) | 5.22545 | + | 4.32287i | 0.502820 | + | 0.415968i | ||||
\(109\) | 0.912855 | − | 4.78536i | 0.0874357 | − | 0.458354i | −0.911461 | − | 0.411387i | \(-0.865044\pi\) |
0.998896 | − | 0.0469669i | \(-0.0149555\pi\) | |||||||
\(110\) | 8.07519 | − | 16.8521i | 0.769939 | − | 1.60678i | ||||
\(111\) | −9.82455 | − | 1.24113i | −0.932505 | − | 0.117803i | ||||
\(112\) | 1.18690 | + | 9.39527i | 0.112151 | + | 0.887770i | ||||
\(113\) | −1.89427 | − | 2.01719i | −0.178198 | − | 0.189761i | 0.633669 | − | 0.773605i | \(-0.281548\pi\) |
−0.811866 | + | 0.583843i | \(0.801548\pi\) | |||||||
\(114\) | 6.82338 | − | 14.5004i | 0.639068 | − | 1.35809i | ||||
\(115\) | 2.54454 | + | 1.87619i | 0.237279 | + | 0.174955i | ||||
\(116\) | −10.1609 | + | 1.28362i | −0.943413 | + | 0.119181i | ||||
\(117\) | −7.41888 | − | 28.8946i | −0.685875 | − | 2.67131i | ||||
\(118\) | −2.49314 | + | 0.810069i | −0.229512 | + | 0.0745729i | ||||
\(119\) | 5.46060 | + | 2.16200i | 0.500572 | + | 0.198191i | ||||
\(120\) | 6.24391 | + | 6.74349i | 0.569989 | + | 0.615593i | ||||
\(121\) | −6.95720 | − | 8.40981i | −0.632473 | − | 0.764528i | ||||
\(122\) | −19.6764 | + | 1.23794i | −1.78142 | + | 0.112077i | ||||
\(123\) | 14.3702 | + | 6.76209i | 1.29571 | + | 0.609717i | ||||
\(124\) | −2.39890 | −0.215428 | ||||||||
\(125\) | 3.00822 | − | 10.7680i | 0.269064 | − | 0.963122i | ||||
\(126\) | 17.0855 | 1.52210 | ||||||||
\(127\) | 11.8806 | + | 5.59057i | 1.05423 | + | 0.496083i | 0.873183 | − | 0.487392i | \(-0.162052\pi\) |
0.181046 | + | 0.983475i | \(0.442052\pi\) | |||||||
\(128\) | 10.6313 | − | 0.668868i | 0.939687 | − | 0.0591201i | ||||
\(129\) | 0.594888 | + | 0.719096i | 0.0523770 | + | 0.0633129i | ||||
\(130\) | 2.80878 | + | 23.5651i | 0.246347 | + | 2.06680i | ||||
\(131\) | −20.6504 | − | 8.17606i | −1.80423 | − | 0.714346i | −0.991240 | − | 0.132070i | \(-0.957838\pi\) |
−0.812991 | − | 0.582276i | \(-0.802162\pi\) | |||||||
\(132\) | −14.9633 | + | 4.86186i | −1.30239 | + | 0.423171i | ||||
\(133\) | −1.50377 | − | 5.85679i | −0.130393 | − | 0.507848i | ||||
\(134\) | −1.85086 | + | 0.233818i | −0.159890 | + | 0.0201988i | ||||
\(135\) | 10.3888 | − | 7.43684i | 0.894122 | − | 0.640061i | ||||
\(136\) | 1.90299 | − | 4.04407i | 0.163180 | − | 0.346776i | ||||
\(137\) | 1.27068 | + | 1.35314i | 0.108562 | + | 0.115606i | 0.780954 | − | 0.624588i | \(-0.214733\pi\) |
−0.672392 | + | 0.740195i | \(0.734733\pi\) | |||||||
\(138\) | −0.895741 | − | 7.09052i | −0.0762505 | − | 0.603585i | ||||
\(139\) | 13.2574 | + | 1.67480i | 1.12448 | + | 0.142055i | 0.665505 | − | 0.746394i | \(-0.268216\pi\) |
0.458976 | + | 0.888449i | \(0.348216\pi\) | |||||||
\(140\) | −5.01763 | − | 0.669748i | −0.424067 | − | 0.0566041i | ||||
\(141\) | 1.02617 | − | 5.37937i | 0.0864191 | − | 0.453025i | ||||
\(142\) | −7.88889 | − | 6.52625i | −0.662021 | − | 0.547671i | ||||
\(143\) | 26.4688 | + | 8.60024i | 2.21343 | + | 0.719188i | ||||
\(144\) | 1.56436 | − | 24.8648i | 0.130363 | − | 2.07206i | ||||
\(145\) | −2.55274 | + | 19.1247i | −0.211994 | + | 1.58822i | ||||
\(146\) | 14.3744 | − | 5.69123i | 1.18963 | − | 0.471009i | ||||
\(147\) | −7.33542 | + | 6.06838i | −0.605015 | + | 0.500512i | ||||
\(148\) | −1.99973 | − | 3.63750i | −0.164377 | − | 0.299000i | ||||
\(149\) | −5.79691 | − | 17.8411i | −0.474901 | − | 1.46160i | −0.846091 | − | 0.533039i | \(-0.821050\pi\) |
0.371189 | − | 0.928557i | \(-0.378950\pi\) | |||||||
\(150\) | −22.3174 | + | 11.8635i | −1.82221 | + | 0.968652i | ||||
\(151\) | 1.12983 | − | 3.47725i | 0.0919441 | − | 0.282975i | −0.894501 | − | 0.447066i | \(-0.852469\pi\) |
0.986445 | + | 0.164091i | \(0.0524690\pi\) | |||||||
\(152\) | −4.52014 | + | 0.862263i | −0.366632 | + | 0.0699388i | ||||
\(153\) | −13.0457 | − | 8.27906i | −1.05468 | − | 0.669322i | ||||
\(154\) | −8.54083 | + | 13.4582i | −0.688240 | + | 1.08449i | ||||
\(155\) | −1.15466 | + | 4.36932i | −0.0927442 | + | 0.350952i | ||||
\(156\) | 12.7363 | − | 15.3956i | 1.01972 | − | 1.23263i | ||||
\(157\) | 11.1775 | − | 15.3845i | 0.892060 | − | 1.22781i | −0.0808728 | − | 0.996724i | \(-0.525771\pi\) |
0.972932 | − | 0.231090i | \(-0.0742292\pi\) | |||||||
\(158\) | −11.2163 | + | 28.3290i | −0.892318 | + | 2.25374i | ||||
\(159\) | −1.22587 | − | 2.60510i | −0.0972175 | − | 0.206598i | ||||
\(160\) | −2.58948 | + | 13.0744i | −0.204716 | + | 1.03362i | ||||
\(161\) | −1.96577 | − | 1.84598i | −0.154924 | − | 0.145484i | ||||
\(162\) | −1.97329 | − | 0.376426i | −0.155037 | − | 0.0295748i | ||||
\(163\) | −4.33630 | + | 7.88770i | −0.339645 | + | 0.617812i | −0.989878 | − | 0.141923i | \(-0.954671\pi\) |
0.650233 | + | 0.759735i | \(0.274671\pi\) | |||||||
\(164\) | 1.24744 | + | 6.53930i | 0.0974085 | + | 0.510633i | ||||
\(165\) | 1.65309 | + | 29.5940i | 0.128693 | + | 2.30389i | ||||
\(166\) | −13.0771 | − | 7.18918i | −1.01498 | − | 0.557989i | ||||
\(167\) | −11.3761 | − | 0.715723i | −0.880308 | − | 0.0553843i | −0.383800 | − | 0.923416i | \(-0.625385\pi\) |
−0.496508 | + | 0.868032i | \(0.665385\pi\) | |||||||
\(168\) | −4.60771 | − | 6.34197i | −0.355492 | − | 0.489293i | ||||
\(169\) | −21.6427 | + | 5.55689i | −1.66482 | + | 0.427453i | ||||
\(170\) | 9.41555 | + | 7.90138i | 0.722140 | + | 0.606008i | ||||
\(171\) | 0.998876 | + | 15.8767i | 0.0763859 | + | 1.21412i | ||||
\(172\) | −0.0972884 | + | 0.378913i | −0.00741817 | + | 0.0288919i | ||||
\(173\) | 1.32856 | − | 10.5166i | 0.101008 | − | 0.799563i | −0.857497 | − | 0.514489i | \(-0.827982\pi\) |
0.958505 | − | 0.285074i | \(-0.0920183\pi\) | |||||||
\(174\) | 35.2872 | − | 25.6376i | 2.67511 | − | 1.94358i | ||||
\(175\) | −3.63499 | + | 8.81666i | −0.274779 | + | 0.666476i | ||||
\(176\) | 18.8039 | + | 13.6618i | 1.41740 | + | 1.02980i | ||||
\(177\) | 2.84633 | − | 3.03104i | 0.213944 | − | 0.227827i | ||||
\(178\) | −5.67478 | − | 14.3329i | −0.425343 | − | 1.07429i | ||||
\(179\) | −10.4817 | − | 2.69125i | −0.783441 | − | 0.201153i | −0.164276 | − | 0.986414i | \(-0.552529\pi\) |
−0.619165 | + | 0.785261i | \(0.712529\pi\) | |||||||
\(180\) | 12.6366 | + | 4.20434i | 0.941877 | + | 0.313373i | ||||
\(181\) | 8.03623 | + | 12.6631i | 0.597328 | + | 0.941239i | 0.999668 | + | 0.0257484i | \(0.00819688\pi\) |
−0.402340 | + | 0.915490i | \(0.631803\pi\) | |||||||
\(182\) | − | 20.2428i | − | 1.50050i | ||||||
\(183\) | 26.4033 | − | 16.7560i | 1.95179 | − | 1.23864i | ||||
\(184\) | −1.49597 | + | 1.40481i | −0.110285 | + | 0.103564i | ||||
\(185\) | −7.58780 | + | 1.89145i | −0.557866 | + | 0.139062i | ||||
\(186\) | 8.95280 | − | 4.92184i | 0.656451 | − | 0.360887i | ||||
\(187\) | 13.0428 | − | 6.13747i | 0.953783 | − | 0.448816i | ||||
\(188\) | 2.07709 | − | 0.977403i | 0.151487 | − | 0.0712845i | ||||
\(189\) | −9.54988 | + | 5.25009i | −0.694652 | + | 0.381888i | ||||
\(190\) | 0.883413 | − | 12.6244i | 0.0640895 | − | 0.915869i | ||||
\(191\) | −10.4640 | + | 9.82636i | −0.757149 | + | 0.711010i | −0.963571 | − | 0.267453i | \(-0.913818\pi\) |
0.206422 | + | 0.978463i | \(0.433818\pi\) | |||||||
\(192\) | 1.69932 | − | 1.07842i | 0.122638 | − | 0.0778285i | ||||
\(193\) | 16.1588i | 1.16313i | 0.813498 | + | 0.581567i | \(0.197560\pi\) | ||||
−0.813498 | + | 0.581567i | \(0.802440\pi\) | |||||||
\(194\) | 9.70948 | + | 15.2997i | 0.697100 | + | 1.09845i | ||||
\(195\) | −21.9109 | − | 30.6081i | −1.56907 | − | 2.19189i | ||||
\(196\) | −3.86525 | − | 0.992427i | −0.276089 | − | 0.0708877i | ||||
\(197\) | 3.01074 | + | 7.60425i | 0.214506 | + | 0.541780i | 0.996693 | − | 0.0812638i | \(-0.0258956\pi\) |
−0.782187 | + | 0.623044i | \(0.785896\pi\) | |||||||
\(198\) | 28.7061 | − | 30.5689i | 2.04005 | − | 2.17244i | ||||
\(199\) | −0.164621 | − | 0.119604i | −0.0116697 | − | 0.00847853i | 0.581935 | − | 0.813235i | \(-0.302296\pi\) |
−0.593605 | + | 0.804757i | \(0.702296\pi\) | |||||||
\(200\) | 6.52264 | + | 3.18211i | 0.461220 | + | 0.225009i | ||||
\(201\) | 2.39394 | − | 1.73930i | 0.168855 | − | 0.122681i | ||||
\(202\) | −1.52536 | + | 12.0745i | −0.107324 | + | 0.849558i | ||||
\(203\) | 4.09284 | − | 15.9406i | 0.287261 | − | 1.11881i | ||||
\(204\) | −0.649811 | − | 10.3284i | −0.0454958 | − | 0.723136i | ||||
\(205\) | 12.5110 | + | 0.875479i | 0.873805 | + | 0.0611461i | ||||
\(206\) | −10.7589 | + | 2.76242i | −0.749609 | + | 0.192467i | ||||
\(207\) | 4.17001 | + | 5.73953i | 0.289836 | + | 0.398925i | ||||
\(208\) | −29.4597 | − | 1.85345i | −2.04266 | − | 0.128513i | ||||
\(209\) | −13.0053 | − | 7.14975i | −0.899599 | − | 0.494558i | ||||
\(210\) | 20.1001 | − | 7.79517i | 1.38704 | − | 0.537918i | ||||
\(211\) | 3.55644 | + | 18.6435i | 0.244835 | + | 1.28347i | 0.866100 | + | 0.499871i | \(0.166619\pi\) |
−0.621264 | + | 0.783601i | \(0.713381\pi\) | |||||||
\(212\) | 0.581406 | − | 1.05757i | 0.0399311 | − | 0.0726344i | ||||
\(213\) | 15.9521 | + | 3.04302i | 1.09302 | + | 0.208504i | ||||
\(214\) | 0.606649 | + | 0.569681i | 0.0414697 | + | 0.0389426i | ||||
\(215\) | 0.643319 | + | 0.359581i | 0.0438740 | + | 0.0245232i | ||||
\(216\) | 3.53116 | + | 7.50410i | 0.240265 | + | 0.510589i | ||||
\(217\) | 1.41907 | − | 3.58417i | 0.0963331 | − | 0.243310i | ||||
\(218\) | −5.11188 | + | 7.03590i | −0.346220 | + | 0.476531i | ||||
\(219\) | −15.6308 | + | 18.8944i | −1.05623 | + | 1.27677i | ||||
\(220\) | −9.62863 | + | 7.85212i | −0.649162 | + | 0.529390i | ||||
\(221\) | −9.80900 | + | 15.4565i | −0.659825 | + | 1.03972i | ||||
\(222\) | 14.9262 | + | 9.47243i | 1.00178 | + | 0.635748i | ||||
\(223\) | −16.0170 | + | 3.05541i | −1.07258 | + | 0.204606i | −0.693280 | − | 0.720668i | \(-0.743835\pi\) |
−0.379300 | + | 0.925274i | \(0.623835\pi\) | |||||||
\(224\) | 3.51316 | − | 10.8124i | 0.234733 | − | 0.722433i | ||||
\(225\) | 13.7400 | − | 20.9924i | 0.916003 | − | 1.39950i | ||||
\(226\) | 1.52653 | + | 4.69819i | 0.101544 | + | 0.312519i | ||||
\(227\) | −2.52663 | − | 4.59592i | −0.167698 | − | 0.305042i | 0.779082 | − | 0.626921i | \(-0.215685\pi\) |
−0.946781 | + | 0.321880i | \(0.895685\pi\) | |||||||
\(228\) | −8.20982 | + | 6.79176i | −0.543709 | + | 0.449795i | ||||
\(229\) | 10.4511 | − | 4.13788i | 0.690628 | − | 0.273439i | 0.00351947 | − | 0.999994i | \(-0.498880\pi\) |
0.687108 | + | 0.726555i | \(0.258880\pi\) | |||||||
\(230\) | −2.68408 | − | 4.96470i | −0.176983 | − | 0.327363i | ||||
\(231\) | 1.58750 | − | 25.2325i | 0.104450 | − | 1.66018i | ||||
\(232\) | −11.9114 | − | 3.87026i | −0.782025 | − | 0.254095i | ||||
\(233\) | −5.35361 | − | 4.42889i | −0.350726 | − | 0.290146i | 0.445333 | − | 0.895365i | \(-0.353085\pi\) |
−0.796059 | + | 0.605219i | \(0.793085\pi\) | |||||||
\(234\) | −9.97913 | + | 52.3124i | −0.652356 | + | 3.41977i | ||||
\(235\) | −0.780467 | − | 4.25362i | −0.0509121 | − | 0.277476i | ||||
\(236\) | 1.72918 | + | 0.218446i | 0.112560 | + | 0.0142196i | ||||
\(237\) | −6.05707 | − | 47.9466i | −0.393449 | − | 3.11447i | ||||
\(238\) | −7.17714 | − | 7.64287i | −0.465225 | − | 0.495414i | ||||
\(239\) | −1.01622 | + | 2.15958i | −0.0657338 | + | 0.139691i | −0.934994 | − | 0.354663i | \(-0.884596\pi\) |
0.869260 | + | 0.494355i | \(0.164596\pi\) | |||||||
\(240\) | −9.50405 | − | 29.9657i | −0.613484 | − | 1.93428i | ||||
\(241\) | 27.4463 | − | 3.46728i | 1.76797 | − | 0.223347i | 0.827089 | − | 0.562071i | \(-0.189995\pi\) |
0.940886 | + | 0.338724i | \(0.109995\pi\) | |||||||
\(242\) | 4.84563 | + | 18.8725i | 0.311489 | + | 1.21317i | ||||
\(243\) | −13.2718 | + | 4.31227i | −0.851386 | + | 0.276632i | ||||
\(244\) | 12.1877 | + | 4.82545i | 0.780237 | + | 0.308918i | ||||
\(245\) | −3.66804 | + | 6.56242i | −0.234342 | + | 0.419258i | ||||
\(246\) | −18.0722 | − | 21.8455i | −1.15224 | − | 1.39282i | ||||
\(247\) | 18.8106 | − | 1.18347i | 1.19689 | − | 0.0753021i | ||||
\(248\) | −2.65441 | − | 1.24907i | −0.168555 | − | 0.0793159i | ||||
\(249\) | 23.6699 | 1.50002 | ||||||||
\(250\) | −13.0440 | + | 15.1070i | −0.824972 | + | 0.955451i | ||||
\(251\) | 26.8424 | 1.69428 | 0.847138 | − | 0.531373i | \(-0.178324\pi\) | ||||
0.847138 | + | 0.531373i | \(0.178324\pi\) | |||||||
\(252\) | −10.2785 | − | 4.83672i | −0.647488 | − | 0.304685i | ||||
\(253\) | −6.60556 | + | 0.415586i | −0.415288 | + | 0.0261277i | ||||
\(254\) | −14.9412 | − | 18.0608i | −0.937495 | − | 1.13324i | ||||
\(255\) | −19.1248 | − | 3.78781i | −1.19764 | − | 0.237202i | ||||
\(256\) | −19.0029 | − | 7.52378i | −1.18768 | − | 0.470236i | ||||
\(257\) | 15.5390 | − | 5.04894i | 0.969298 | − | 0.314944i | 0.218765 | − | 0.975777i | \(-0.429797\pi\) |
0.750533 | + | 0.660833i | \(0.229797\pi\) | |||||||
\(258\) | −0.414335 | − | 1.61373i | −0.0257954 | − | 0.100466i | ||||
\(259\) | 6.61769 | − | 0.836009i | 0.411203 | − | 0.0519471i | ||||
\(260\) | 4.98129 | − | 14.9718i | 0.308926 | − | 0.928512i | ||||
\(261\) | −18.4351 | + | 39.1767i | −1.14111 | + | 2.42497i | ||||
\(262\) | 27.1418 | + | 28.9031i | 1.67683 | + | 1.78564i | ||||
\(263\) | −0.220004 | − | 1.74151i | −0.0135660 | − | 0.107386i | 0.983878 | − | 0.178843i | \(-0.0572353\pi\) |
−0.997444 | + | 0.0714565i | \(0.977235\pi\) | |||||||
\(264\) | −19.0885 | − | 2.41144i | −1.17482 | − | 0.148414i | ||||
\(265\) | −1.64640 | − | 1.56800i | −0.101138 | − | 0.0963216i | ||||
\(266\) | −2.02272 | + | 10.6035i | −0.124021 | + | 0.650139i | ||||
\(267\) | 18.8399 | + | 15.5857i | 1.15298 | + | 0.953828i | ||||
\(268\) | 1.17966 | + | 0.383296i | 0.0720593 | + | 0.0234135i | ||||
\(269\) | −0.841568 | + | 13.3763i | −0.0513113 | + | 0.815570i | 0.885261 | + | 0.465095i | \(0.153980\pi\) |
−0.936572 | + | 0.350475i | \(0.886020\pi\) | |||||||
\(270\) | −22.4337 | + | 4.11619i | −1.36527 | + | 0.250503i | ||||
\(271\) | 10.5972 | − | 4.19573i | 0.643734 | − | 0.254872i | −0.0234961 | − | 0.999724i | \(-0.507480\pi\) |
0.667230 | + | 0.744852i | \(0.267480\pi\) | |||||||
\(272\) | −11.7799 | + | 9.74521i | −0.714263 | + | 0.590890i | ||||
\(273\) | 15.4682 | + | 28.1365i | 0.936177 | + | 1.70290i | ||||
\(274\) | −1.02401 | − | 3.15156i | −0.0618624 | − | 0.190393i | ||||
\(275\) | 9.66721 | + | 21.3169i | 0.582954 | + | 1.28546i | ||||
\(276\) | −1.46838 | + | 4.51920i | −0.0883859 | + | 0.272024i | ||||
\(277\) | −6.27192 | + | 1.19643i | −0.376843 | + | 0.0718867i | −0.372323 | − | 0.928103i | \(-0.621439\pi\) |
−0.00451992 | + | 0.999990i | \(0.501439\pi\) | |||||||
\(278\) | −20.1416 | − | 12.7823i | −1.20802 | − | 0.766630i | ||||
\(279\) | −5.43413 | + | 8.56282i | −0.325333 | + | 0.512642i | ||||
\(280\) | −5.20332 | − | 3.35368i | −0.310958 | − | 0.200421i | ||||
\(281\) | 10.9894 | − | 13.2839i | 0.655574 | − | 0.792453i | −0.333042 | − | 0.942912i | \(-0.608075\pi\) |
0.988616 | + | 0.150459i | \(0.0480752\pi\) | |||||||
\(282\) | −5.74643 | + | 7.90928i | −0.342195 | + | 0.470991i | ||||
\(283\) | −1.19987 | + | 3.03053i | −0.0713251 | + | 0.180147i | −0.961066 | − | 0.276320i | \(-0.910885\pi\) |
0.889741 | + | 0.456466i | \(0.150885\pi\) | |||||||
\(284\) | 2.89840 | + | 6.15942i | 0.171989 | + | 0.365494i | ||||
\(285\) | 8.41878 | + | 18.2223i | 0.498685 | + | 1.07940i | ||||
\(286\) | −36.2179 | − | 34.0109i | −2.14161 | − | 2.01111i | ||||
\(287\) | −10.5082 | − | 2.00455i | −0.620280 | − | 0.118325i | ||||
\(288\) | −14.4090 | + | 26.2099i | −0.849061 | + | 1.54444i | ||||
\(289\) | −1.40883 | − | 7.38533i | −0.0828722 | − | 0.434431i | ||||
\(290\) | 18.6601 | − | 28.9516i | 1.09576 | − | 1.70010i | ||||
\(291\) | −25.1867 | − | 13.8465i | −1.47647 | − | 0.811695i | ||||
\(292\) | −10.2587 | − | 0.645423i | −0.600345 | − | 0.0377705i | ||||
\(293\) | 14.5527 | + | 20.0301i | 0.850180 | + | 1.17017i | 0.983823 | + | 0.179143i | \(0.0573324\pi\) |
−0.133643 | + | 0.991030i | \(0.542668\pi\) | |||||||
\(294\) | 16.4614 | − | 4.22658i | 0.960051 | − | 0.246499i | ||||
\(295\) | 1.23018 | − | 3.04436i | 0.0716236 | − | 0.177249i | ||||
\(296\) | −0.318735 | − | 5.06615i | −0.0185261 | − | 0.294464i | ||||
\(297\) | −6.65186 | + | 25.9073i | −0.385980 | + | 1.50329i | ||||
\(298\) | −4.19727 | + | 33.2248i | −0.243141 | + | 1.92466i | ||||
\(299\) | 6.80018 | − | 4.94062i | 0.393265 | − | 0.285723i | ||||
\(300\) | 16.7845 | − | 0.819224i | 0.969052 | − | 0.0472979i | ||||
\(301\) | −0.508579 | − | 0.369504i | −0.0293140 | − | 0.0212979i | ||||
\(302\) | −4.46807 | + | 4.75801i | −0.257108 | + | 0.273793i | ||||
\(303\) | −7.10631 | − | 17.9485i | −0.408247 | − | 1.03111i | ||||
\(304\) | 15.2462 | + | 3.91455i | 0.874428 | + | 0.224515i | ||||
\(305\) | 14.6553 | − | 19.8758i | 0.839158 | − | 1.13809i | ||||
\(306\) | 14.7798 | + | 23.2892i | 0.844902 | + | 1.33135i | ||||
\(307\) | 21.7794i | 1.24302i | 0.783408 | + | 0.621508i | \(0.213480\pi\) | ||||
−0.783408 | + | 0.621508i | \(0.786520\pi\) | |||||||
\(308\) | 8.94799 | − | 5.67857i | 0.509859 | − | 0.323567i | ||||
\(309\) | 12.8435 | − | 12.0608i | 0.730641 | − | 0.686117i | ||||
\(310\) | 5.18623 | − | 6.18009i | 0.294558 | − | 0.351005i | ||||
\(311\) | −12.6490 | + | 6.95386i | −0.717260 | + | 0.394317i | −0.798192 | − | 0.602403i | \(-0.794210\pi\) |
0.0809324 | + | 0.996720i | \(0.474210\pi\) | |||||||
\(312\) | 22.1091 | − | 10.4037i | 1.25168 | − | 0.588996i | ||||
\(313\) | 7.44318 | − | 3.50249i | 0.420713 | − | 0.197973i | −0.203757 | − | 0.979022i | \(-0.565315\pi\) |
0.624470 | + | 0.781049i | \(0.285315\pi\) | |||||||
\(314\) | −29.7487 | + | 16.3545i | −1.67881 | + | 0.922936i | ||||
\(315\) | −13.7569 | + | 16.3931i | −0.775111 | + | 0.923648i | ||||
\(316\) | 14.7673 | − | 13.8674i | 0.830726 | − | 0.780103i | ||||
\(317\) | −21.8783 | + | 13.8844i | −1.22881 | + | 0.779825i | −0.981934 | − | 0.189223i | \(-0.939403\pi\) |
−0.246873 | + | 0.969048i | \(0.579403\pi\) | |||||||
\(318\) | 5.13978i | 0.288225i | ||||||||
\(319\) | −21.6439 | − | 34.1053i | −1.21182 | − | 1.90953i | ||||
\(320\) | 0.943216 | − | 1.27921i | 0.0527274 | − | 0.0715103i | ||||
\(321\) | −1.27852 | − | 0.328269i | −0.0713602 | − | 0.0183222i | ||||
\(322\) | 1.77217 | + | 4.47599i | 0.0987591 | + | 0.249437i | ||||
\(323\) | 6.68254 | − | 7.11618i | 0.371826 | − | 0.395955i | ||||
\(324\) | 1.08056 | + | 0.785074i | 0.0600312 | + | 0.0436152i | ||||
\(325\) | −24.8718 | − | 16.2792i | −1.37964 | − | 0.903006i | ||||
\(326\) | 12.9998 | − | 9.44494i | 0.719995 | − | 0.523107i | ||||
\(327\) | 1.72890 | − | 13.6857i | 0.0956086 | − | 0.756820i | ||||
\(328\) | −2.02460 | + | 7.88531i | −0.111790 | + | 0.435393i | ||||
\(329\) | 0.231623 | + | 3.68154i | 0.0127698 | + | 0.202970i | ||||
\(330\) | 19.8242 | − | 49.0596i | 1.09129 | − | 2.70064i | ||||
\(331\) | 15.9350 | − | 4.09141i | 0.875866 | − | 0.224884i | 0.216114 | − | 0.976368i | \(-0.430662\pi\) |
0.659751 | + | 0.751484i | \(0.270662\pi\) | |||||||
\(332\) | 5.83193 | + | 8.02696i | 0.320068 | + | 0.440536i | ||||
\(333\) | −17.5139 | − | 1.10188i | −0.959753 | − | 0.0603826i | ||||
\(334\) | 17.8317 | + | 9.80307i | 0.975708 | + | 0.536400i | ||||
\(335\) | 1.26593 | − | 1.96413i | 0.0691652 | − | 0.107312i | ||||
\(336\) | 5.02461 | + | 26.3400i | 0.274115 | + | 1.43696i | ||||
\(337\) | 1.91022 | − | 3.47467i | 0.104056 | − | 0.189277i | −0.819153 | − | 0.573575i | \(-0.805556\pi\) |
0.923209 | + | 0.384297i | \(0.125556\pi\) | |||||||
\(338\) | 39.1831 | + | 7.47457i | 2.13128 | + | 0.406563i | ||||
\(339\) | −5.71184 | − | 5.36377i | −0.310224 | − | 0.291320i | ||||
\(340\) | −3.42755 | − | 7.41887i | −0.185885 | − | 0.402345i | ||||
\(341\) | −4.02845 | − | 8.56090i | −0.218153 | − | 0.463599i | ||||
\(342\) | 10.4544 | − | 26.4048i | 0.565308 | − | 1.42781i | ||||
\(343\) | 11.6169 | − | 15.9893i | 0.627255 | − | 0.863342i | ||||
\(344\) | −0.304944 | + | 0.368614i | −0.0164415 | + | 0.0198744i | ||||
\(345\) | 7.52442 | + | 4.84969i | 0.405101 | + | 0.261098i | ||||
\(346\) | −10.1397 | + | 15.9776i | −0.545113 | + | 0.858961i | ||||
\(347\) | −3.32910 | − | 2.11271i | −0.178715 | − | 0.113416i | 0.443460 | − | 0.896294i | \(-0.353751\pi\) |
−0.622175 | + | 0.782878i | \(0.713751\pi\) | |||||||
\(348\) | −28.4863 | + | 5.43406i | −1.52703 | + | 0.291296i | ||||
\(349\) | −6.17378 | + | 19.0010i | −0.330475 | + | 1.01710i | 0.638433 | + | 0.769677i | \(0.279583\pi\) |
−0.968908 | + | 0.247420i | \(0.920417\pi\) | |||||||
\(350\) | 12.5731 | − | 11.4785i | 0.672062 | − | 0.613554i | ||||
\(351\) | −10.4969 | − | 32.3063i | −0.560286 | − | 1.72438i | ||||
\(352\) | −13.4426 | − | 24.4520i | −0.716493 | − | 1.30330i | ||||
\(353\) | −15.7631 | + | 13.0404i | −0.838987 | + | 0.694071i | −0.954167 | − | 0.299274i | \(-0.903256\pi\) |
0.115180 | + | 0.993345i | \(0.463256\pi\) | |||||||
\(354\) | −6.90156 | + | 2.73252i | −0.366814 | + | 0.145232i | ||||
\(355\) | 12.6137 | − | 2.31441i | 0.669468 | − | 0.122836i | ||||
\(356\) | −0.643558 | + | 10.2291i | −0.0341085 | + | 0.542139i | ||||
\(357\) | 15.8160 | + | 5.13893i | 0.837072 | + | 0.271981i | ||||
\(358\) | 14.8855 | + | 12.3143i | 0.786721 | + | 0.650832i | ||||
\(359\) | −4.61895 | + | 24.2134i | −0.243779 | + | 1.27793i | 0.624173 | + | 0.781286i | \(0.285436\pi\) |
−0.867952 | + | 0.496648i | \(0.834564\pi\) | |||||||
\(360\) | 11.7934 | + | 11.2318i | 0.621566 | + | 0.591968i | ||||
\(361\) | 8.87867 | + | 1.12164i | 0.467299 | + | 0.0590335i | ||||
\(362\) | −3.35568 | − | 26.5629i | −0.176371 | − | 1.39612i | ||||
\(363\) | −21.1562 | − | 22.5291i | −1.11041 | − | 1.18247i | ||||
\(364\) | −5.73053 | + | 12.1780i | −0.300361 | + | 0.638300i | ||||
\(365\) | −6.11335 | + | 18.3744i | −0.319987 | + | 0.961758i | ||||
\(366\) | −55.3854 | + | 6.99680i | −2.89504 | + | 0.365729i | ||||
\(367\) | 4.33288 | + | 16.8754i | 0.226174 | + | 0.880891i | 0.975735 | + | 0.218955i | \(0.0702648\pi\) |
−0.749561 | + | 0.661936i | \(0.769735\pi\) | |||||||
\(368\) | 6.67623 | − | 2.16924i | 0.348023 | − | 0.113079i | ||||
\(369\) | 26.1676 | + | 10.3605i | 1.36223 | + | 0.539345i | ||||
\(370\) | 13.6942 | + | 2.71224i | 0.711929 | + | 0.141003i | ||||
\(371\) | 1.23618 | + | 1.49428i | 0.0641791 | + | 0.0775792i | ||||
\(372\) | −6.77928 | + | 0.426516i | −0.351489 | + | 0.0221138i | ||||
\(373\) | −22.8054 | − | 10.7314i | −1.18082 | − | 0.555652i | −0.267764 | − | 0.963484i | \(-0.586285\pi\) |
−0.913057 | + | 0.407832i | \(0.866285\pi\) | |||||||
\(374\) | −25.7330 | −1.33062 | ||||||||
\(375\) | 6.58670 | − | 30.9653i | 0.340136 | − | 1.59904i | ||||
\(376\) | 2.80723 | 0.144772 | ||||||||
\(377\) | 46.4164 | + | 21.8419i | 2.39057 | + | 1.12491i | ||||
\(378\) | 19.4165 | − | 1.22158i | 0.998676 | − | 0.0628313i | ||||
\(379\) | −1.22314 | − | 1.47852i | −0.0628283 | − | 0.0759464i | 0.738163 | − | 0.674623i | \(-0.235694\pi\) |
−0.800991 | + | 0.598676i | \(0.795694\pi\) | |||||||
\(380\) | −4.10528 | + | 7.34468i | −0.210597 | + | 0.376774i | ||||
\(381\) | 34.5684 | + | 13.6866i | 1.77099 | + | 0.701185i | ||||
\(382\) | 24.3715 | − | 7.91877i | 1.24695 | − | 0.405160i | ||||
\(383\) | −5.75142 | − | 22.4003i | −0.293884 | − | 1.14460i | −0.928367 | − | 0.371666i | \(-0.878787\pi\) |
0.634483 | − | 0.772937i | \(-0.281213\pi\) | |||||||
\(384\) | 29.9252 | − | 3.78043i | 1.52711 | − | 0.192919i | ||||
\(385\) | −6.03594 | − | 19.0310i | −0.307620 | − | 0.969908i | ||||
\(386\) | 12.2823 | − | 26.1012i | 0.625152 | − | 1.32852i | ||||
\(387\) | 1.13214 | + | 1.20560i | 0.0575498 | + | 0.0612843i | ||||
\(388\) | −1.51000 | − | 11.9529i | −0.0766586 | − | 0.606815i | ||||
\(389\) | 24.2171 | + | 3.05933i | 1.22785 | + | 0.155114i | 0.712382 | − | 0.701792i | \(-0.247617\pi\) |
0.515472 | + | 0.856906i | \(0.327617\pi\) | |||||||
\(390\) | 12.1274 | + | 66.0955i | 0.614095 | + | 3.34688i | ||||
\(391\) | 0.815766 | − | 4.27640i | 0.0412551 | − | 0.216267i | ||||
\(392\) | −3.76019 | − | 3.11070i | −0.189918 | − | 0.157114i | ||||
\(393\) | −59.8115 | − | 19.4339i | −3.01709 | − | 0.980313i | ||||
\(394\) | 0.916765 | − | 14.5716i | 0.0461860 | − | 0.734105i | ||||
\(395\) | −18.1500 | − | 33.5717i | −0.913225 | − | 1.68917i | ||||
\(396\) | −25.9232 | + | 10.2637i | −1.30269 | + | 0.515771i | ||||
\(397\) | −26.2053 | + | 21.6789i | −1.31521 | + | 1.08803i | −0.325407 | + | 0.945574i | \(0.605501\pi\) |
−0.989800 | + | 0.142461i | \(0.954499\pi\) | |||||||
\(398\) | 0.175001 | + | 0.318325i | 0.00877199 | + | 0.0159562i | ||||
\(399\) | −5.29095 | − | 16.2839i | −0.264879 | − | 0.815214i | ||||
\(400\) | −15.5537 | − | 19.3488i | −0.777685 | − | 0.967442i | ||||
\(401\) | −5.57453 | + | 17.1566i | −0.278379 | + | 0.856762i | 0.709927 | + | 0.704276i | \(0.248728\pi\) |
−0.988306 | + | 0.152486i | \(0.951272\pi\) | |||||||
\(402\) | −5.18896 | + | 0.989847i | −0.258802 | + | 0.0493691i | ||||
\(403\) | 10.1452 | + | 6.43834i | 0.505368 | + | 0.320716i | ||||
\(404\) | 4.33581 | − | 6.83214i | 0.215714 | − | 0.339912i | ||||
\(405\) | 1.95002 | − | 1.59024i | 0.0968975 | − | 0.0790197i | ||||
\(406\) | −18.7276 | + | 22.6378i | −0.929434 | + | 1.12349i | ||||
\(407\) | 9.62291 | − | 13.2448i | 0.476990 | − | 0.656520i | ||||
\(408\) | 4.65883 | − | 11.7669i | 0.230646 | − | 0.582546i | ||||
\(409\) | −9.52348 | − | 20.2384i | −0.470906 | − | 1.00073i | −0.989342 | − | 0.145609i | \(-0.953486\pi\) |
0.518436 | − | 0.855116i | \(-0.326514\pi\) | |||||||
\(410\) | −19.5435 | − | 10.9238i | −0.965184 | − | 0.539486i | ||||
\(411\) | 3.83152 | + | 3.59804i | 0.188995 | + | 0.177478i | ||||
\(412\) | 7.25452 | + | 1.38387i | 0.357405 | + | 0.0681786i | ||||
\(413\) | −1.34928 | + | 2.45433i | −0.0663936 | + | 0.120770i | ||||
\(414\) | −2.37318 | − | 12.4407i | −0.116636 | − | 0.611425i | ||||
\(415\) | 17.4272 | − | 6.75858i | 0.855469 | − | 0.331766i | ||||
\(416\) | 31.0535 | + | 17.0718i | 1.52252 | + | 0.837013i | ||||
\(417\) | 37.7632 | + | 2.37586i | 1.84927 | + | 0.116346i | ||||
\(418\) | 15.5729 | + | 21.4343i | 0.761698 | + | 1.04839i | ||||
\(419\) | −15.7566 | + | 4.04561i | −0.769761 | + | 0.197641i | −0.613094 | − | 0.790010i | \(-0.710075\pi\) |
−0.156668 | + | 0.987651i | \(0.550075\pi\) | |||||||
\(420\) | −14.2989 | − | 1.00059i | −0.697713 | − | 0.0488237i | ||||
\(421\) | −0.682502 | − | 10.8481i | −0.0332631 | − | 0.528702i | −0.979012 | − | 0.203803i | \(-0.934670\pi\) |
0.945749 | − | 0.324899i | \(-0.105330\pi\) | |||||||
\(422\) | 8.42624 | − | 32.8180i | 0.410183 | − | 1.59756i | ||||
\(423\) | 1.21632 | − | 9.62818i | 0.0591396 | − | 0.468138i | ||||
\(424\) | 1.19399 | − | 0.867485i | 0.0579853 | − | 0.0421288i | ||||
\(425\) | −15.1624 | + | 2.67198i | −0.735484 | + | 0.129610i | ||||
\(426\) | −23.4543 | − | 17.0405i | −1.13636 | − | 0.825617i | ||||
\(427\) | −14.4193 | + | 15.3550i | −0.697799 | + | 0.743081i | ||||
\(428\) | −0.203687 | − | 0.514453i | −0.00984556 | − | 0.0248670i | ||||
\(429\) | 76.3298 | + | 19.5982i | 3.68524 | + | 0.946208i | ||||
\(430\) | −0.765832 | − | 1.06982i | −0.0369317 | − | 0.0515911i | ||||
\(431\) | −5.77987 | − | 9.10762i | −0.278407 | − | 0.438699i | 0.676134 | − | 0.736778i | \(-0.263654\pi\) |
−0.954541 | + | 0.298080i | \(0.903654\pi\) | |||||||
\(432\) | − | 28.3689i | − | 1.36490i | ||||||
\(433\) | 12.1318 | − | 7.69909i | 0.583019 | − | 0.369995i | −0.211369 | − | 0.977406i | \(-0.567792\pi\) |
0.794387 | + | 0.607412i | \(0.207792\pi\) | |||||||
\(434\) | −5.01656 | + | 4.71086i | −0.240802 | + | 0.226128i | ||||
\(435\) | −3.81374 | + | 54.5001i | −0.182855 | + | 2.61308i | ||||
\(436\) | 5.06707 | − | 2.78565i | 0.242669 | − | 0.133408i | ||||
\(437\) | −4.05570 | + | 1.90847i | −0.194010 | + | 0.0912944i | ||||
\(438\) | 39.6101 | − | 18.6391i | 1.89264 | − | 0.890610i | ||||
\(439\) | 8.36374 | − | 4.59800i | 0.399179 | − | 0.219451i | −0.269502 | − | 0.963000i | \(-0.586859\pi\) |
0.668681 | + | 0.743549i | \(0.266859\pi\) | |||||||
\(440\) | −14.7426 | + | 3.67497i | −0.702827 | + | 0.175197i | ||||
\(441\) | −12.2982 | + | 11.5488i | −0.585630 | + | 0.549943i | ||||
\(442\) | 27.5929 | − | 17.5110i | 1.31246 | − | 0.832914i | ||||
\(443\) | − | 1.23032i | − | 0.0584541i | −0.999573 | − | 0.0292270i | \(-0.990695\pi\) | ||
0.999573 | − | 0.0292270i | \(-0.00930458\pi\) | |||||||
\(444\) | −6.29796 | − | 9.92400i | −0.298888 | − | 0.470972i | ||||
\(445\) | 18.3213 | + | 6.09569i | 0.868511 | + | 0.288963i | ||||
\(446\) | 28.1947 | + | 7.23916i | 1.33506 | + | 0.342784i | ||||
\(447\) | −19.5541 | − | 49.3880i | −0.924878 | − | 2.33597i | ||||
\(448\) | −0.928030 | + | 0.988252i | −0.0438453 | + | 0.0466905i | ||||
\(449\) | −12.1895 | − | 8.85617i | −0.575257 | − | 0.417948i | 0.261754 | − | 0.965135i | \(-0.415699\pi\) |
−0.837011 | + | 0.547186i | \(0.815699\pi\) | |||||||
\(450\) | −38.1506 | + | 23.4652i | −1.79844 | + | 1.10616i | ||||
\(451\) | −21.2418 | + | 15.4331i | −1.00024 | + | 0.726715i | ||||
\(452\) | 0.411651 | − | 3.25855i | 0.0193624 | − | 0.153269i | ||||
\(453\) | 2.57464 | − | 10.0276i | 0.120967 | − | 0.471137i | ||||
\(454\) | 0.587890 | + | 9.34425i | 0.0275911 | + | 0.438547i | ||||
\(455\) | 19.4225 | + | 16.2991i | 0.910542 | + | 0.764113i | ||||
\(456\) | −12.6206 | + | 3.24042i | −0.591013 | + | 0.151746i | ||||
\(457\) | −11.2753 | − | 15.5191i | −0.527437 | − | 0.725955i | 0.459300 | − | 0.888281i | \(-0.348100\pi\) |
−0.986737 | + | 0.162326i | \(0.948100\pi\) | |||||||
\(458\) | −20.0268 | − | 1.25998i | −0.935791 | − | 0.0588750i | ||||
\(459\) | −15.4175 | − | 8.47583i | −0.719626 | − | 0.395618i | ||||
\(460\) | 0.209279 | + | 3.74658i | 0.00975769 | + | 0.174685i | ||||
\(461\) | 6.75239 | + | 35.3973i | 0.314490 | + | 1.64862i | 0.691478 | + | 0.722398i | \(0.256960\pi\) |
−0.376988 | + | 0.926218i | \(0.623040\pi\) | |||||||
\(462\) | −21.7435 | + | 39.5513i | −1.01160 | + | 1.84009i | ||||
\(463\) | −22.1346 | − | 4.22241i | −1.02868 | − | 0.196232i | −0.354702 | − | 0.934979i | \(-0.615418\pi\) |
−0.673982 | + | 0.738747i | \(0.735418\pi\) | |||||||
\(464\) | 31.2304 | + | 29.3273i | 1.44983 | + | 1.36148i | ||||
\(465\) | −2.48620 | + | 12.5530i | −0.115295 | + | 0.582130i | ||||
\(466\) | 5.28125 | + | 11.2232i | 0.244649 | + | 0.519906i | ||||
\(467\) | −10.7909 | + | 27.2546i | −0.499341 | + | 1.26119i | 0.433581 | + | 0.901114i | \(0.357250\pi\) |
−0.932923 | + | 0.360077i | \(0.882750\pi\) | |||||||
\(468\) | 20.8125 | − | 28.6459i | 0.962057 | − | 1.32416i | ||||
\(469\) | −1.27051 | + | 1.53578i | −0.0586667 | + | 0.0709158i | ||||
\(470\) | −1.97249 | + | 7.46409i | −0.0909844 | + | 0.344293i | ||||
\(471\) | 28.8522 | − | 45.4637i | 1.32944 | − | 2.09486i | ||||
\(472\) | 1.79961 | + | 1.14207i | 0.0828338 | + | 0.0525679i | ||||
\(473\) | −1.51559 | + | 0.289115i | −0.0696871 | + | 0.0132935i | ||||
\(474\) | −26.6603 | + | 82.0519i | −1.22455 | + | 3.76877i | ||||
\(475\) | 11.4015 | + | 11.0125i | 0.523136 | + | 0.505288i | ||||
\(476\) | 2.15412 | + | 6.62969i | 0.0987337 | + | 0.303871i | ||||
\(477\) | −2.45795 | − | 4.47099i | −0.112542 | − | 0.204712i | ||||
\(478\) | 3.28299 | − | 2.71592i | 0.150160 | − | 0.124223i | ||||
\(479\) | −17.0985 | + | 6.76977i | −0.781249 | + | 0.309319i | −0.724685 | − | 0.689080i | \(-0.758015\pi\) |
−0.0565645 | + | 0.998399i | \(0.518015\pi\) | |||||||
\(480\) | −4.99326 | + | 37.4086i | −0.227910 | + | 1.70746i | ||||
\(481\) | −1.30550 | + | 20.7504i | −0.0595258 | + | 0.946135i | ||||
\(482\) | −46.9694 | − | 15.2613i | −2.13940 | − | 0.695133i | ||||
\(483\) | −5.88346 | − | 4.86722i | −0.267707 | − | 0.221466i | ||||
\(484\) | 2.42749 | − | 12.7253i | 0.110340 | − | 0.578425i | ||||
\(485\) | −22.4976 | − | 3.00295i | −1.02156 | − | 0.136357i | ||||
\(486\) | 24.7156 | + | 3.12231i | 1.12112 | + | 0.141631i | ||||
\(487\) | 3.02423 | + | 23.9392i | 0.137041 | + | 1.08479i | 0.899243 | + | 0.437450i | \(0.144118\pi\) |
−0.762202 | + | 0.647339i | \(0.775882\pi\) | |||||||
\(488\) | 10.9733 | + | 11.6853i | 0.496736 | + | 0.528970i | ||||
\(489\) | −10.8520 | + | 23.0616i | −0.490742 | + | 1.04288i | ||||
\(490\) | 10.9131 | − | 7.81216i | 0.493002 | − | 0.352918i | ||||
\(491\) | −5.45607 | + | 0.689262i | −0.246229 | + | 0.0311060i | −0.247479 | − | 0.968893i | \(-0.579602\pi\) |
0.00124991 | + | 0.999999i | \(0.499602\pi\) | |||||||
\(492\) | 4.68791 | + | 18.2582i | 0.211348 | + | 0.823144i | ||||
\(493\) | 25.2690 | − | 8.21041i | 1.13806 | − | 0.369778i | ||||
\(494\) | −31.2843 | − | 12.3863i | −1.40755 | − | 0.557287i | ||||
\(495\) | 6.21662 | + | 52.1562i | 0.279416 | + | 2.34425i | ||||
\(496\) | 6.39647 | + | 7.73200i | 0.287210 | + | 0.347177i | ||||
\(497\) | −10.9173 | + | 0.686857i | −0.489707 | + | 0.0308098i | ||||
\(498\) | −38.2339 | − | 17.9915i | −1.71330 | − | 0.806220i | ||||
\(499\) | −8.43739 | −0.377710 | −0.188855 | − | 0.982005i | \(-0.560478\pi\) | ||||
−0.188855 | + | 0.982005i | \(0.560478\pi\) | |||||||
\(500\) | 12.1238 | − | 5.39570i | 0.542193 | − | 0.241303i | ||||
\(501\) | −32.2760 | −1.44199 | ||||||||
\(502\) | −43.3584 | − | 20.4029i | −1.93518 | − | 0.910626i | ||||
\(503\) | −11.0056 | + | 0.692416i | −0.490717 | + | 0.0308733i | −0.306222 | − | 0.951960i | \(-0.599065\pi\) |
−0.184495 | + | 0.982833i | \(0.559065\pi\) | |||||||
\(504\) | −8.85490 | − | 10.7037i | −0.394429 | − | 0.476782i | ||||
\(505\) | −10.3570 | − | 11.1857i | −0.460881 | − | 0.497755i | ||||
\(506\) | 10.9858 | + | 4.34959i | 0.488379 | + | 0.193363i | ||||
\(507\) | −60.1740 | + | 19.5517i | −2.67242 | + | 0.868323i | ||||
\(508\) | 3.87574 | + | 15.0950i | 0.171958 | + | 0.669733i | ||||
\(509\) | −18.8074 | + | 2.37592i | −0.833621 | + | 0.105311i | −0.530546 | − | 0.847656i | \(-0.678013\pi\) |
−0.303075 | + | 0.952967i | \(0.598013\pi\) | |||||||
\(510\) | 28.0131 | + | 20.6552i | 1.24044 | + | 0.914628i | ||||
\(511\) | 7.03287 | − | 14.9456i | 0.311116 | − | 0.661155i | ||||
\(512\) | 10.3924 | + | 11.0668i | 0.459282 | + | 0.489086i | ||||
\(513\) | 2.27031 | + | 17.9713i | 0.100236 | + | 0.793453i | ||||
\(514\) | −28.9378 | − | 3.65570i | −1.27639 | − | 0.161246i | ||||
\(515\) | 6.01236 | − | 12.5472i | 0.264936 | − | 0.552894i | ||||
\(516\) | −0.207567 | + | 1.08810i | −0.00913763 | + | 0.0479011i | ||||
\(517\) | 6.97607 | + | 5.77110i | 0.306807 | + | 0.253813i | ||||
\(518\) | −11.3250 | − | 3.67971i | −0.497591 | − | 0.161677i | ||||
\(519\) | 1.88468 | − | 29.9561i | 0.0827282 | − | 1.31493i | ||||
\(520\) | 13.3074 | − | 13.9728i | 0.583568 | − | 0.612746i | ||||
\(521\) | 20.1077 | − | 7.96119i | 0.880934 | − | 0.348786i | 0.116271 | − | 0.993217i | \(-0.462906\pi\) |
0.764662 | + | 0.644431i | \(0.222906\pi\) | |||||||
\(522\) | 59.5564 | − | 49.2693i | 2.60671 | − | 2.15646i | ||||
\(523\) | 10.8532 | + | 19.7419i | 0.474579 | + | 0.863255i | 0.999924 | + | 0.0123658i | \(0.00393627\pi\) |
−0.525345 | + | 0.850889i | \(0.676064\pi\) | |||||||
\(524\) | −8.14623 | − | 25.0715i | −0.355870 | − | 1.09525i | ||||
\(525\) | −8.70489 | + | 25.5621i | −0.379912 | + | 1.11562i | ||||
\(526\) | −0.968352 | + | 2.98028i | −0.0422221 | + | 0.129946i | ||||
\(527\) | 6.11314 | − | 1.16614i | 0.266293 | − | 0.0507980i | ||||
\(528\) | 55.5688 | + | 35.2650i | 2.41832 | + | 1.53471i | ||||
\(529\) | 11.2529 | − | 17.7318i | 0.489258 | − | 0.770947i | ||||
\(530\) | 1.46758 | + | 3.78421i | 0.0637478 | + | 0.164376i | ||||
\(531\) | 4.69678 | − | 5.67743i | 0.203823 | − | 0.246379i | ||||
\(532\) | 4.21858 | − | 5.80638i | 0.182899 | − | 0.251738i | ||||
\(533\) | 12.2751 | − | 31.0033i | 0.531692 | − | 1.34290i | ||||
\(534\) | −18.5852 | − | 39.4956i | −0.804262 | − | 1.70914i | ||||
\(535\) | −1.03506 | + | 0.123371i | −0.0447494 | + | 0.00533379i | ||||
\(536\) | 1.10573 | + | 1.03835i | 0.0477603 | + | 0.0448499i | ||||
\(537\) | −30.0998 | − | 5.74184i | −1.29890 | − | 0.247779i | ||||
\(538\) | 11.5267 | − | 20.9671i | 0.496953 | − | 0.903954i | ||||
\(539\) | −2.94923 | − | 15.4604i | −0.127032 | − | 0.665926i | ||||
\(540\) | 14.6612 | + | 3.87444i | 0.630919 | + | 0.166730i | ||||
\(541\) | −25.0846 | − | 13.7904i | −1.07847 | − | 0.592896i | −0.159493 | − | 0.987199i | \(-0.550986\pi\) |
−0.918980 | + | 0.394303i | \(0.870986\pi\) | |||||||
\(542\) | −20.3068 | − | 1.27759i | −0.872251 | − | 0.0548774i | ||||
\(543\) | 24.9618 | + | 34.3569i | 1.07121 | + | 1.47440i | ||||
\(544\) | 17.7774 | − | 4.56445i | 0.762198 | − | 0.195699i | ||||
\(545\) | −2.63481 | − | 10.5699i | −0.112863 | − | 0.452764i | ||||
\(546\) | −3.59910 | − | 57.2061i | −0.154027 | − | 2.44820i | ||||
\(547\) | −5.08863 | + | 19.8189i | −0.217574 | + | 0.847396i | 0.762208 | + | 0.647332i | \(0.224115\pi\) |
−0.979783 | + | 0.200064i | \(0.935885\pi\) | |||||||
\(548\) | −0.276137 | + | 2.18585i | −0.0117960 | + | 0.0933749i | ||||
\(549\) | 44.8326 | − | 32.5728i | 1.91341 | − | 1.39017i | ||||
\(550\) | 0.587568 | − | 41.7811i | 0.0250540 | − | 1.78155i | ||||
\(551\) | −22.1310 | − | 16.0791i | −0.942812 | − | 0.684993i | ||||
\(552\) | −3.97784 | + | 4.23597i | −0.169308 | + | 0.180295i | ||||
\(553\) | 11.9835 | + | 30.2670i | 0.509592 | + | 1.28708i | ||||
\(554\) | 11.0404 | + | 2.83470i | 0.469062 | + | 0.120435i | ||||
\(555\) | −21.1068 | + | 6.69431i | −0.895933 | + | 0.284158i | ||||
\(556\) | 8.49859 | + | 13.3916i | 0.360421 | + | 0.567932i | ||||
\(557\) | − | 5.86450i | − | 0.248487i | −0.992252 | − | 0.124243i | \(-0.960350\pi\) | ||
0.992252 | − | 0.124243i | \(-0.0396504\pi\) | |||||||
\(558\) | 15.2863 | − | 9.70099i | 0.647121 | − | 0.410676i | ||||
\(559\) | 1.42840 | − | 1.34135i | 0.0604147 | − | 0.0567332i | ||||
\(560\) | 11.2204 | + | 17.9583i | 0.474148 | + | 0.758879i | ||||
\(561\) | 35.7676 | − | 19.6634i | 1.51011 | − | 0.830190i | ||||
\(562\) | −27.8483 | + | 13.1044i | −1.17471 | + | 0.552776i | ||||
\(563\) | 8.74556 | − | 4.11535i | 0.368582 | − | 0.173441i | −0.232564 | − | 0.972581i | \(-0.574711\pi\) |
0.601145 | + | 0.799140i | \(0.294711\pi\) | |||||||
\(564\) | 5.69606 | − | 3.13143i | 0.239847 | − | 0.131857i | ||||
\(565\) | −5.73694 | − | 2.31820i | −0.241355 | − | 0.0975276i | ||||
\(566\) | 4.24166 | − | 3.98318i | 0.178290 | − | 0.167426i | ||||
\(567\) | −1.81218 | + | 1.15004i | −0.0761044 | + | 0.0482973i | ||||
\(568\) | 8.32460i | 0.349293i | ||||||||
\(569\) | 8.73611 | + | 13.7659i | 0.366237 | + | 0.577097i | 0.976610 | − | 0.215017i | \(-0.0689807\pi\) |
−0.610374 | + | 0.792114i | \(0.708981\pi\) | |||||||
\(570\) | 0.251951 | − | 35.8335i | 0.0105531 | − | 1.50090i | ||||
\(571\) | 11.2574 | + | 2.89041i | 0.471107 | + | 0.120960i | 0.476777 | − | 0.879024i | \(-0.341805\pi\) |
−0.00566992 | + | 0.999984i | \(0.501805\pi\) | |||||||
\(572\) | 12.1604 | + | 30.7137i | 0.508452 | + | 1.28420i | ||||
\(573\) | −27.8241 | + | 29.6297i | −1.16237 | + | 1.23780i | ||||
\(574\) | 15.4502 | + | 11.2252i | 0.644879 | + | 0.468532i | ||||
\(575\) | 6.92468 | + | 1.42215i | 0.288779 | + | 0.0593078i | ||||
\(576\) | 2.88544 | − | 2.09639i | 0.120226 | − | 0.0873496i | ||||
\(577\) | 1.16928 | − | 9.25581i | 0.0486778 | − | 0.385324i | −0.948889 | − | 0.315610i | \(-0.897791\pi\) |
0.997567 | − | 0.0697149i | \(-0.0222090\pi\) | |||||||
\(578\) | −3.33792 | + | 13.0003i | −0.138839 | + | 0.540742i | ||||
\(579\) | 2.87297 | + | 45.6646i | 0.119397 | + | 1.89776i | ||||
\(580\) | −19.4217 | + | 12.1347i | −0.806443 | + | 0.503866i | ||||
\(581\) | −15.4429 | + | 3.96506i | −0.640678 | + | 0.164498i | ||||
\(582\) | 30.1592 | + | 41.5105i | 1.25014 | + | 1.72067i | ||||
\(583\) | 4.75048 | + | 0.298875i | 0.196745 | + | 0.0123781i | ||||
\(584\) | −11.0153 | − | 6.05570i | −0.455815 | − | 0.250587i | ||||
\(585\) | −42.1576 | − | 51.6955i | −1.74300 | − | 2.13735i | ||||
\(586\) | −8.28206 | − | 43.4161i | −0.342129 | − | 1.79350i | ||||
\(587\) | 17.4479 | − | 31.7377i | 0.720154 | − | 1.30995i | −0.222090 | − | 0.975026i | \(-0.571288\pi\) |
0.942244 | − | 0.334928i | \(-0.108712\pi\) | |||||||
\(588\) | −11.0996 | − | 2.11737i | −0.457741 | − | 0.0873187i | ||||
\(589\) | −4.67085 | − | 4.38622i | −0.192459 | − | 0.180731i | ||||
\(590\) | −4.30111 | + | 3.98248i | −0.177074 | + | 0.163956i | ||||
\(591\) | 9.86033 | + | 20.9543i | 0.405600 | + | 0.861943i | ||||
\(592\) | −6.39206 | + | 16.1445i | −0.262712 | + | 0.663534i | ||||
\(593\) | 23.5459 | − | 32.4081i | 0.966914 | − | 1.33084i | 0.0233237 | − | 0.999728i | \(-0.492575\pi\) |
0.943590 | − | 0.331115i | \(-0.107425\pi\) | |||||||
\(594\) | 30.4369 | − | 36.7918i | 1.24884 | − | 1.50959i | ||||
\(595\) | 13.1120 | − | 0.732423i | 0.537541 | − | 0.0300264i | ||||
\(596\) | 11.9306 | − | 18.7997i | 0.488698 | − | 0.770065i | ||||
\(597\) | −0.486484 | − | 0.308732i | −0.0199105 | − | 0.0126356i | ||||
\(598\) | −14.7397 | + | 2.81174i | −0.602750 | + | 0.114981i | ||||
\(599\) | 1.32013 | − | 4.06294i | 0.0539390 | − | 0.166007i | −0.920458 | − | 0.390841i | \(-0.872184\pi\) |
0.974397 | + | 0.224834i | \(0.0721841\pi\) | |||||||
\(600\) | 18.9987 | + | 7.83291i | 0.775619 | + | 0.319777i | ||||
\(601\) | −0.00391500 | − | 0.0120491i | −0.000159696 | − | 0.000491494i | 0.950977 | − | 0.309263i | \(-0.100082\pi\) |
−0.951136 | + | 0.308771i | \(0.900082\pi\) | |||||||
\(602\) | 0.540645 | + | 0.983430i | 0.0220351 | + | 0.0400816i | ||||
\(603\) | 4.04040 | − | 3.34251i | 0.164538 | − | 0.136118i | ||||
\(604\) | 4.03491 | − | 1.59753i | 0.164178 | − | 0.0650027i | ||||
\(605\) | −22.0093 | − | 10.5464i | −0.894806 | − | 0.428774i | ||||
\(606\) | −2.16386 | + | 34.3936i | −0.0879010 | + | 1.39715i | ||||
\(607\) | 12.9693 | + | 4.21397i | 0.526406 | + | 0.171040i | 0.560151 | − | 0.828391i | \(-0.310743\pi\) |
−0.0337446 | + | 0.999430i | \(0.510743\pi\) | |||||||
\(608\) | −14.5603 | − | 12.0454i | −0.590500 | − | 0.488504i | ||||
\(609\) | 8.73217 | − | 45.7756i | 0.353845 | − | 1.85492i | ||||
\(610\) | −38.7802 | + | 20.9659i | −1.57016 | + | 0.848884i | ||||
\(611\) | −11.4074 | − | 1.44109i | −0.461495 | − | 0.0583004i | ||||
\(612\) | −2.29852 | − | 18.1946i | −0.0929121 | − | 0.735475i | ||||
\(613\) | −8.76588 | − | 9.33472i | −0.354051 | − | 0.377026i | 0.527147 | − | 0.849774i | \(-0.323262\pi\) |
−0.881197 | + | 0.472749i | \(0.843262\pi\) | |||||||
\(614\) | 16.5545 | − | 35.1801i | 0.668086 | − | 1.41975i | ||||
\(615\) | 35.5116 | + | 0.249688i | 1.43197 | + | 0.0100684i | ||||
\(616\) | 12.8578 | − | 1.62431i | 0.518054 | − | 0.0654455i | ||||
\(617\) | −1.05256 | − | 4.09943i | −0.0423743 | − | 0.165037i | 0.943875 | − | 0.330304i | \(-0.107151\pi\) |
−0.986249 | + | 0.165267i | \(0.947151\pi\) | |||||||
\(618\) | −29.9135 | + | 9.71948i | −1.20330 | + | 0.390975i | ||||
\(619\) | 6.81935 | + | 2.69997i | 0.274093 | + | 0.108521i | 0.501150 | − | 0.865360i | \(-0.332910\pi\) |
−0.227057 | + | 0.973881i | \(0.572910\pi\) | |||||||
\(620\) | −4.86953 | + | 2.24974i | −0.195565 | + | 0.0903519i | ||||
\(621\) | 5.14930 | + | 6.22443i | 0.206634 | + | 0.249778i | ||||
\(622\) | 25.7175 | − | 1.61801i | 1.03118 | − | 0.0648763i | ||||
\(623\) | −14.9024 | − | 7.01255i | −0.597053 | − | 0.280952i | ||||
\(624\) | −83.5825 | −3.34598 | ||||||||
\(625\) | −3.99212 | − | 24.6792i | −0.159685 | − | 0.987168i | ||||
\(626\) | −14.6852 | −0.586937 | ||||||||
\(627\) | −38.0242 | − | 17.8928i | −1.51854 | − | 0.714571i | ||||
\(628\) | 22.5264 | − | 1.41724i | 0.898902 | − | 0.0565541i | ||||
\(629\) | 6.86418 | + | 8.29736i | 0.273693 | + | 0.330838i | ||||
\(630\) | 34.6818 | − | 16.0232i | 1.38176 | − | 0.638378i | ||||
\(631\) | −0.446037 | − | 0.176599i | −0.0177564 | − | 0.00703028i | 0.359230 | − | 0.933249i | \(-0.383040\pi\) |
−0.376986 | + | 0.926219i | \(0.623040\pi\) | |||||||
\(632\) | 23.5607 | − | 7.65533i | 0.937193 | − | 0.304513i | ||||
\(633\) | 13.3652 | + | 52.0541i | 0.531220 | + | 2.06897i | ||||
\(634\) | 45.8934 | − | 5.79769i | 1.82266 | − | 0.230256i | ||||
\(635\) | 29.3593 | + | 0.206430i | 1.16509 | + | 0.00819192i | ||||
\(636\) | 1.45502 | − | 3.09207i | 0.0576952 | − | 0.122608i | ||||
\(637\) | 13.6830 | + | 14.5709i | 0.542140 | + | 0.577320i | ||||
\(638\) | 9.03780 | + | 71.5415i | 0.357810 | + | 2.83236i | ||||
\(639\) | 28.5515 | + | 3.60690i | 1.12948 | + | 0.142687i | ||||
\(640\) | 20.9533 | − | 11.3281i | 0.828251 | − | 0.447781i | ||||
\(641\) | 1.41196 | − | 7.40177i | 0.0557692 | − | 0.292352i | −0.943465 | − | 0.331471i | \(-0.892455\pi\) |
0.999235 | + | 0.0391187i | \(0.0124550\pi\) | |||||||
\(642\) | 1.81567 | + | 1.50206i | 0.0716589 | + | 0.0592814i | ||||
\(643\) | −13.9924 | − | 4.54642i | −0.551808 | − | 0.179293i | 0.0198241 | − | 0.999803i | \(-0.493689\pi\) |
−0.571632 | + | 0.820510i | \(0.693689\pi\) | |||||||
\(644\) | 0.200976 | − | 3.19441i | 0.00791954 | − | 0.125878i | ||||
\(645\) | 1.88195 | + | 0.901793i | 0.0741016 | + | 0.0355081i | ||||
\(646\) | −16.2033 | + | 6.41533i | −0.637509 | + | 0.252408i | ||||
\(647\) | 7.36557 | − | 6.09333i | 0.289571 | − | 0.239554i | −0.481284 | − | 0.876565i | \(-0.659829\pi\) |
0.770855 | + | 0.637011i | \(0.219829\pi\) | |||||||
\(648\) | 0.786876 | + | 1.43132i | 0.0309114 | + | 0.0562276i | ||||
\(649\) | 2.12423 | + | 6.53772i | 0.0833834 | + | 0.256628i | ||||
\(650\) | 27.8015 | + | 45.2007i | 1.09046 | + | 1.77292i | ||||
\(651\) | 3.37304 | − | 10.3812i | 0.132200 | − | 0.406870i | ||||
\(652\) | −10.4944 | + | 2.00191i | −0.410993 | + | 0.0784010i | ||||
\(653\) | −10.3712 | − | 6.58177i | −0.405857 | − | 0.257565i | 0.317192 | − | 0.948361i | \(-0.397260\pi\) |
−0.723049 | + | 0.690797i | \(0.757260\pi\) | |||||||
\(654\) | −13.1952 | + | 20.7923i | −0.515973 | + | 0.813043i | ||||
\(655\) | −49.5859 | + | 2.76981i | −1.93748 | + | 0.108225i | ||||
\(656\) | 17.7509 | − | 21.4571i | 0.693056 | − | 0.837760i | ||||
\(657\) | −25.5424 | + | 35.1561i | −0.996504 | + | 1.37157i | ||||
\(658\) | 2.42420 | − | 6.12283i | 0.0945051 | − | 0.238693i | ||||
\(659\) | 17.6782 | + | 37.5681i | 0.688646 | + | 1.46345i | 0.876576 | + | 0.481264i | \(0.159822\pi\) |
−0.187930 | + | 0.982182i | \(0.560178\pi\) | |||||||
\(660\) | −25.8144 | + | 23.9020i | −1.00482 | + | 0.930384i | ||||
\(661\) | −10.8287 | − | 10.1688i | −0.421187 | − | 0.395521i | 0.444766 | − | 0.895647i | \(-0.353287\pi\) |
−0.865953 | + | 0.500126i | \(0.833287\pi\) | |||||||
\(662\) | −28.8496 | − | 5.50335i | −1.12127 | − | 0.213894i | ||||
\(663\) | −24.9721 | + | 45.4240i | −0.969835 | + | 1.76412i | ||||
\(664\) | 2.27357 | + | 11.9185i | 0.0882317 | + | 0.462527i | ||||
\(665\) | −8.54512 | − | 10.4784i | −0.331366 | − | 0.406336i | ||||
\(666\) | 27.4525 | + | 15.0921i | 1.06376 | + | 0.584809i | ||||
\(667\) | −12.1755 | − | 0.766018i | −0.471437 | − | 0.0296603i | ||||
\(668\) | −7.95233 | − | 10.9454i | −0.307685 | − | 0.423492i | ||||
\(669\) | −44.7208 | + | 11.4824i | −1.72901 | + | 0.443934i | ||||
\(670\) | −3.53779 | + | 2.21041i | −0.136677 | + | 0.0853956i | ||||
\(671\) | 3.24622 | + | 51.5972i | 0.125319 | + | 1.99189i | ||||
\(672\) | 8.00575 | − | 31.1804i | 0.308829 | − | 1.20281i | ||||
\(673\) | −4.17073 | + | 33.0148i | −0.160770 | + | 1.27263i | 0.680797 | + | 0.732472i | \(0.261634\pi\) |
−0.841567 | + | 0.540153i | \(0.818366\pi\) | |||||||
\(674\) | −5.72666 | + | 4.16066i | −0.220583 | + | 0.160263i | ||||
\(675\) | 14.1137 | − | 24.8388i | 0.543236 | − | 0.956047i | ||||
\(676\) | −21.4564 | − | 15.5890i | −0.825246 | − | 0.599576i | ||||
\(677\) | −11.7875 | + | 12.5524i | −0.453031 | + | 0.482429i | −0.914419 | − | 0.404770i | \(-0.867352\pi\) |
0.461388 | + | 0.887199i | \(0.347352\pi\) | |||||||
\(678\) | 5.14930 | + | 13.0056i | 0.197758 | + | 0.499479i | ||||
\(679\) | 18.7519 | + | 4.81467i | 0.719632 | + | 0.184770i | ||||
\(680\) | 0.0702674 | − | 9.99372i | 0.00269463 | − | 0.383241i | ||||
\(681\) | −7.95737 | − | 12.5388i | −0.304927 | − | 0.480488i | ||||
\(682\) | 16.8904i | 0.646767i | ||||||||
\(683\) | −35.5607 | + | 22.5675i | −1.36069 | + | 0.863521i | −0.997668 | − | 0.0682592i | \(-0.978256\pi\) |
−0.363023 | + | 0.931780i | \(0.618256\pi\) | |||||||
\(684\) | −13.7642 | + | 12.9255i | −0.526288 | + | 0.494217i | ||||
\(685\) | 3.84836 | + | 1.55506i | 0.147038 | + | 0.0594158i | ||||
\(686\) | −30.9182 | + | 16.9975i | −1.18046 | + | 0.648966i | ||||
\(687\) | 28.7990 | − | 13.5518i | 1.09875 | − | 0.517033i | ||||
\(688\) | 1.48070 | − | 0.696766i | 0.0564512 | − | 0.0265639i | ||||
\(689\) | −5.29721 | + | 2.91217i | −0.201808 | + | 0.110945i | ||||
\(690\) | −8.46791 | − | 13.5530i | −0.322368 | − | 0.515954i | ||||
\(691\) | 27.4059 | − | 25.7358i | 1.04257 | − | 0.979036i | 0.0427688 | − | 0.999085i | \(-0.486382\pi\) |
0.999799 | + | 0.0200487i | \(0.00638211\pi\) | |||||||
\(692\) | 10.6231 | − | 6.74161i | 0.403829 | − | 0.256278i | ||||
\(693\) | − | 44.8030i | − | 1.70193i | ||||||
\(694\) | 3.77160 | + | 5.94310i | 0.143168 | + | 0.225597i | ||||
\(695\) | 28.4819 | − | 9.03343i | 1.08038 | − | 0.342658i | ||||
\(696\) | −34.3498 | − | 8.81953i | −1.30203 | − | 0.334303i | ||||
\(697\) | −6.35771 | − | 16.0577i | −0.240815 | − | 0.608230i | ||||
\(698\) | 24.4151 | − | 25.9994i | 0.924125 | − | 0.984094i | ||||
\(699\) | −15.9167 | − | 11.5642i | −0.602025 | − | 0.437397i | ||||
\(700\) | −10.8134 | + | 3.34612i | −0.408707 | + | 0.126472i | ||||
\(701\) | 14.8884 | − | 10.8171i | 0.562327 | − | 0.408555i | −0.269983 | − | 0.962865i | \(-0.587018\pi\) |
0.832310 | + | 0.554311i | \(0.187018\pi\) | |||||||
\(702\) | −7.60034 | + | 60.1629i | −0.286856 | + | 2.27070i | ||||
\(703\) | 2.75727 | − | 10.7389i | 0.103992 | − | 0.405023i | ||||
\(704\) | 0.208928 | + | 3.32081i | 0.00787426 | + | 0.125158i | ||||
\(705\) | −2.96188 | − | 11.8820i | −0.111551 | − | 0.447500i | ||||
\(706\) | 35.3741 | − | 9.08254i | 1.33132 | − | 0.341826i | ||||
\(707\) | 7.64297 | + | 10.5196i | 0.287444 | + | 0.395632i | ||||
\(708\) | 4.92549 | + | 0.309886i | 0.185111 | + | 0.0116462i | ||||
\(709\) | 12.9708 | + | 7.13078i | 0.487130 | + | 0.267802i | 0.706336 | − | 0.707877i | \(-0.250347\pi\) |
−0.219206 | + | 0.975679i | \(0.570347\pi\) | |||||||
\(710\) | −22.1341 | − | 5.84926i | −0.830678 | − | 0.219519i | ||||
\(711\) | −16.0477 | − | 84.1247i | −0.601834 | − | 3.15492i | ||||
\(712\) | −6.03820 | + | 10.9834i | −0.226291 | + | 0.411622i | ||||
\(713\) | −2.80690 | − | 0.535445i | −0.105119 | − | 0.0200526i | ||||
\(714\) | −21.6414 | − | 20.3226i | −0.809910 | − | 0.760556i | ||||
\(715\) | 61.7945 | − | 7.36543i | 2.31098 | − | 0.275452i | ||||
\(716\) | −5.46897 | − | 11.6221i | −0.204385 | − | 0.434340i | ||||
\(717\) | −2.48786 | + | 6.28363i | −0.0929110 | + | 0.234666i | ||||
\(718\) | 25.8656 | − | 35.6009i | 0.965295 | − | 1.32861i | ||||
\(719\) | −19.0273 | + | 23.0000i | −0.709597 | + | 0.857756i | −0.994919 | − | 0.100676i | \(-0.967899\pi\) |
0.285322 | + | 0.958432i | \(0.407899\pi\) | |||||||
\(720\) | −20.1432 | − | 51.9401i | −0.750695 | − | 1.93569i | ||||
\(721\) | −6.35906 | + | 10.0203i | −0.236824 | + | 0.373174i | ||||
\(722\) | −13.4891 | − | 8.56046i | −0.502013 | − | 0.318587i | ||||
\(723\) | 76.9467 | − | 14.6784i | 2.86168 | − | 0.545895i | ||||
\(724\) | −5.50092 | + | 16.9301i | −0.204440 | + | 0.629202i | ||||
\(725\) | 12.7537 | + | 41.2152i | 0.473662 | + | 1.53069i | ||||
\(726\) | 17.0492 | + | 52.4720i | 0.632755 | + | 1.94742i | ||||
\(727\) | 6.57288 | + | 11.9560i | 0.243775 | + | 0.443424i | 0.969683 | − | 0.244367i | \(-0.0785802\pi\) |
−0.725908 | + | 0.687792i | \(0.758580\pi\) | |||||||
\(728\) | −12.6818 | + | 10.4913i | −0.470017 | + | 0.388832i | ||||
\(729\) | −39.8781 | + | 15.7889i | −1.47697 | + | 0.584773i | ||||
\(730\) | 23.8412 | − | 25.0333i | 0.882403 | − | 0.926522i | ||||
\(731\) | 0.0637251 | − | 1.01288i | 0.00235696 | − | 0.0374628i | ||||
\(732\) | 35.3003 | + | 11.4698i | 1.30474 | + | 0.423935i | ||||
\(733\) | 30.7689 | + | 25.4543i | 1.13648 | + | 0.940175i | 0.998735 | − | 0.0502928i | \(-0.0160155\pi\) |
0.137742 | + | 0.990468i | \(0.456015\pi\) | |||||||
\(734\) | 5.82815 | − | 30.5522i | 0.215121 | − | 1.12770i | ||||
\(735\) | −9.19908 | + | 19.1975i | −0.339313 | + | 0.708111i | ||||
\(736\) | −8.36093 | − | 1.05623i | −0.308188 | − | 0.0389332i | ||||
\(737\) | 0.613139 | + | 4.85349i | 0.0225853 | + | 0.178781i | ||||
\(738\) | −34.3934 | − | 36.6252i | −1.26604 | − | 1.34819i | ||||
\(739\) | 4.82206 | − | 10.2474i | 0.177382 | − | 0.376957i | −0.796288 | − | 0.604918i | \(-0.793206\pi\) |
0.973670 | + | 0.227961i | \(0.0732059\pi\) | |||||||
\(740\) | −7.47058 | − | 5.50836i | −0.274624 | − | 0.202491i | ||||
\(741\) | 52.9483 | − | 6.68893i | 1.94511 | − | 0.245724i | ||||
\(742\) | −0.860987 | − | 3.35332i | −0.0316078 | − | 0.123104i | ||||
\(743\) | −42.6487 | + | 13.8574i | −1.56463 | + | 0.508379i | −0.958040 | − | 0.286636i | \(-0.907463\pi\) |
−0.606590 | + | 0.795015i | \(0.707463\pi\) | |||||||
\(744\) | −7.72341 | − | 3.05792i | −0.283154 | − | 0.112109i | ||||
\(745\) | −28.4989 | − | 30.7791i | −1.04412 | − | 1.12766i | ||||
\(746\) | 28.6806 | + | 34.6688i | 1.05007 | + | 1.26932i | ||||
\(747\) | 41.8628 | − | 2.63378i | 1.53168 | − | 0.0963651i | ||||
\(748\) | 15.4809 | + | 7.28475i | 0.566037 | + | 0.266357i | ||||
\(749\) | 0.889131 | 0.0324881 | ||||||||
\(750\) | −34.1762 | + | 45.0115i | −1.24794 | + | 1.64359i | ||||
\(751\) | −3.30176 | −0.120483 | −0.0602414 | − | 0.998184i | \(-0.519187\pi\) | ||||
−0.0602414 | + | 0.998184i | \(0.519187\pi\) | |||||||
\(752\) | −8.68868 | − | 4.08858i | −0.316844 | − | 0.149095i | ||||
\(753\) | 75.8564 | − | 4.77248i | 2.76436 | − | 0.173919i | ||||
\(754\) | −58.3741 | − | 70.5622i | −2.12586 | − | 2.56972i | ||||
\(755\) | −0.967610 | − | 8.11805i | −0.0352149 | − | 0.295446i | ||||
\(756\) | −12.0267 | − | 4.76170i | −0.437406 | − | 0.173181i | ||||
\(757\) | 39.4772 | − | 12.8269i | 1.43482 | − | 0.466202i | 0.514543 | − | 0.857465i | \(-0.327962\pi\) |
0.920279 | + | 0.391263i | \(0.127962\pi\) | |||||||
\(758\) | 0.851905 | + | 3.31795i | 0.0309426 | + | 0.120513i | ||||
\(759\) | −18.5934 | + | 2.34889i | −0.674897 | + | 0.0852593i | ||||
\(760\) | −8.36678 | + | 5.98940i | −0.303495 | + | 0.217258i | ||||
\(761\) | 10.2380 | − | 21.7568i | 0.371127 | − | 0.788684i | −0.628811 | − | 0.777558i | \(-0.716458\pi\) |
0.999938 | − | 0.0111266i | \(-0.00354178\pi\) | |||||||
\(762\) | −45.4349 | − | 48.3833i | −1.64593 | − | 1.75274i | ||||
\(763\) | 1.16457 | + | 9.21851i | 0.0421602 | + | 0.333732i | ||||
\(764\) | −16.9035 | − | 2.13541i | −0.611547 | − | 0.0772563i | ||||
\(765\) | −34.2458 | − | 4.57109i | −1.23816 | − | 0.165268i | ||||
\(766\) | −7.73624 | + | 40.5548i | −0.279522 | + | 1.46530i | ||||
\(767\) | −6.72660 | − | 5.56472i | −0.242883 | − | 0.200931i | ||||
\(768\) | −55.0398 | − | 17.8835i | −1.98608 | − | 0.645316i | ||||
\(769\) | 1.52322 | − | 24.2108i | 0.0549286 | − | 0.873064i | −0.870031 | − | 0.492998i | \(-0.835901\pi\) |
0.924959 | − | 0.380067i | \(-0.124099\pi\) | |||||||
\(770\) | −4.71562 | + | 35.3286i | −0.169939 | + | 1.27315i | ||||
\(771\) | 43.0155 | − | 17.0310i | 1.54917 | − | 0.613358i | ||||
\(772\) | −14.7779 | + | 12.2254i | −0.531869 | + | 0.440001i | ||||
\(773\) | 9.82506 | + | 17.8717i | 0.353383 | + | 0.642801i | 0.991931 | − | 0.126781i | \(-0.0404646\pi\) |
−0.638548 | + | 0.769582i | \(0.720465\pi\) | |||||||
\(774\) | −0.912356 | − | 2.80794i | −0.0327940 | − | 0.100929i | ||||
\(775\) | 1.75381 | + | 9.95214i | 0.0629987 | + | 0.357491i | ||||
\(776\) | 4.55283 | − | 14.0122i | 0.163437 | − | 0.503008i | ||||
\(777\) | 18.5529 | − | 3.53916i | 0.665582 | − | 0.126967i | ||||
\(778\) | −36.7923 | − | 23.3491i | −1.31907 | − | 0.837106i | ||||
\(779\) | −9.52777 | + | 15.0134i | −0.341368 | + | 0.537910i | ||||
\(780\) | 11.4151 | − | 43.1959i | 0.408728 | − | 1.54666i | ||||
\(781\) | −17.1137 | + | 20.6869i | −0.612377 | + | 0.740236i | ||||
\(782\) | −4.56819 | + | 6.28758i | −0.163358 | + | 0.224843i | ||||
\(783\) | −18.1492 | + | 45.8396i | −0.648599 | + | 1.63818i | ||||
\(784\) | 7.10762 | + | 15.1045i | 0.253844 | + | 0.539445i | ||||
\(785\) | 8.26124 | − | 41.7114i | 0.294856 | − | 1.48874i | ||||
\(786\) | 81.8415 | + | 76.8543i | 2.91919 | + | 2.74130i | ||||
\(787\) | −42.7630 | − | 8.15749i | −1.52434 | − | 0.290783i | −0.643961 | − | 0.765058i | \(-0.722710\pi\) |
−0.880377 | + | 0.474275i | \(0.842710\pi\) | |||||||
\(788\) | −4.67658 | + | 8.50666i | −0.166596 | + | 0.303037i | ||||
\(789\) | −0.931365 | − | 4.88239i | −0.0331575 | − | 0.173818i | ||||
\(790\) | 3.79974 | + | 68.0240i | 0.135189 | + | 2.42018i | ||||
\(791\) | 4.62506 | + | 2.54265i | 0.164448 | + | 0.0904061i | ||||
\(792\) | −34.0283 | − | 2.14088i | −1.20914 | − | 0.0760729i | ||||
\(793\) | −38.5921 | − | 53.1175i | −1.37045 | − | 1.88626i | ||||
\(794\) | 58.8075 | − | 15.0992i | 2.08700 | − | 0.535851i | ||||
\(795\) | −4.93150 | − | 4.13844i | −0.174902 | − | 0.146775i | ||||
\(796\) | −0.0151652 | − | 0.241044i | −0.000537516 | − | 0.00854356i | ||||
\(797\) | −3.36165 | + | 13.0928i | −0.119076 | + | 0.463770i | −0.999954 | − | 0.00957299i | \(-0.996953\pi\) |
0.880878 | + | 0.473343i | \(0.156953\pi\) | |||||||
\(798\) | −3.83093 | + | 30.3249i | −0.135613 | + | 1.07349i | ||||
\(799\) | −4.81793 | + | 3.50043i | −0.170446 | + | 0.123836i | ||||
\(800\) | 7.00509 | + | 28.9682i | 0.247667 | + | 1.02418i | ||||
\(801\) | 35.0545 | + | 25.4686i | 1.23859 | + | 0.899889i | ||||
\(802\) | 22.0453 | − | 23.4758i | 0.778446 | − | 0.828961i | ||||
\(803\) | −14.9240 | − | 37.6938i | −0.526658 | − | 1.33019i | ||||
\(804\) | 3.40187 | + | 0.873451i | 0.119975 | + | 0.0308042i | ||||
\(805\) | −5.72152 | − | 1.90361i | −0.201657 | − | 0.0670935i | ||||
\(806\) | −11.4937 | − | 18.1112i | −0.404848 | − | 0.637939i | ||||
\(807\) | 37.9511i | 1.33594i | ||||||||
\(808\) | 8.35499 | − | 5.30224i | 0.293927 | − | 0.186532i | ||||
\(809\) | 7.31017 | − | 6.86471i | 0.257012 | − | 0.241350i | −0.545321 | − | 0.838228i | \(-0.683592\pi\) |
0.802333 | + | 0.596877i | \(0.203592\pi\) | |||||||
\(810\) | −4.35861 | + | 1.08649i | −0.153146 | + | 0.0381755i | ||||
\(811\) | −37.9737 | + | 20.8762i | −1.33344 | + | 0.733063i | −0.979354 | − | 0.202152i | \(-0.935206\pi\) |
−0.354082 | + | 0.935215i | \(0.615206\pi\) | |||||||
\(812\) | 17.6749 | − | 8.31719i | 0.620268 | − | 0.291876i | ||||
\(813\) | 29.2016 | − | 13.7412i | 1.02415 | − | 0.481927i | ||||
\(814\) | −25.6112 | + | 14.0799i | −0.897673 | + | 0.493500i | ||||
\(815\) | −1.40499 | + | 20.0779i | −0.0492146 | + | 0.703298i | ||||
\(816\) | −31.5574 | + | 29.6343i | −1.10473 | + | 1.03741i | ||||
\(817\) | −0.882244 | + | 0.559889i | −0.0308658 | + | 0.0195880i | ||||
\(818\) | 39.9298i | 1.39611i | ||||||||
\(819\) | 30.4879 | + | 48.0412i | 1.06533 | + | 1.67870i | ||||
\(820\) | 8.66487 | + | 12.1042i | 0.302590 | + | 0.422698i | ||||
\(821\) | −16.8223 | − | 4.31922i | −0.587101 | − | 0.150742i | −0.0565570 | − | 0.998399i | \(-0.518012\pi\) |
−0.530544 | + | 0.847657i | \(0.678012\pi\) | |||||||
\(822\) | −3.45417 | − | 8.72424i | −0.120478 | − | 0.304293i | ||||
\(823\) | 7.60030 | − | 8.09350i | 0.264930 | − | 0.282122i | −0.582725 | − | 0.812669i | \(-0.698014\pi\) |
0.847655 | + | 0.530548i | \(0.178014\pi\) | |||||||
\(824\) | 7.30663 | + | 5.30858i | 0.254538 | + | 0.184933i | ||||
\(825\) | 31.1095 | + | 58.5226i | 1.08309 | + | 2.03749i | ||||
\(826\) | 4.04502 | − | 2.93888i | 0.140744 | − | 0.102257i | ||||
\(827\) | 5.10309 | − | 40.3951i | 0.177452 | − | 1.40468i | −0.611997 | − | 0.790860i | \(-0.709634\pi\) |
0.789449 | − | 0.613816i | \(-0.210366\pi\) | |||||||
\(828\) | −2.09412 | + | 8.15607i | −0.0727758 | + | 0.283443i | ||||
\(829\) | −1.10097 | − | 17.4994i | −0.0382382 | − | 0.607779i | −0.969755 | − | 0.244081i | \(-0.921514\pi\) |
0.931517 | − | 0.363699i | \(-0.118486\pi\) | |||||||
\(830\) | −33.2873 | − | 2.32934i | −1.15542 | − | 0.0808525i | ||||
\(831\) | −17.5117 | + | 4.49624i | −0.607474 | + | 0.155973i | ||||
\(832\) | −2.48380 | − | 3.41865i | −0.0861102 | − | 0.118521i | ||||
\(833\) | 10.3323 | + | 0.650052i | 0.357992 | + | 0.0225230i | ||||
\(834\) | −59.1928 | − | 32.5415i | −2.04968 | − | 1.12682i | ||||
\(835\) | −23.7635 | + | 9.21590i | −0.822371 | + | 0.318930i | ||||
\(836\) | −3.30078 | − | 17.3033i | −0.114160 | − | 0.598448i | ||||
\(837\) | −5.56328 | + | 10.1196i | −0.192295 | + | 0.349784i | ||||
\(838\) | 28.5267 | + | 5.44175i | 0.985437 | + | 0.187982i | ||||
\(839\) | 24.8492 | + | 23.3350i | 0.857890 | + | 0.805613i | 0.982436 | − | 0.186601i | \(-0.0597473\pi\) |
−0.124546 | + | 0.992214i | \(0.539747\pi\) | |||||||
\(840\) | −15.3008 | − | 8.55234i | −0.527929 | − | 0.295084i | ||||
\(841\) | −19.3533 | − | 41.1279i | −0.667357 | − | 1.41821i | ||||
\(842\) | −7.14317 | + | 18.0416i | −0.246170 | + | 0.621754i | ||||
\(843\) | 28.6942 | − | 39.4942i | 0.988281 | − | 1.36025i | ||||
\(844\) | −14.3596 | + | 17.3578i | −0.494278 | + | 0.597480i | ||||
\(845\) | −38.7210 | + | 31.5769i | −1.33204 | + | 1.08628i | ||||
\(846\) | −9.28310 | + | 14.6278i | −0.319159 | + | 0.502915i | ||||
\(847\) | 17.5768 | + | 11.1546i | 0.603947 | + | 0.383276i | ||||
\(848\) | −4.95898 | + | 0.945975i | −0.170292 | + | 0.0324849i | ||||
\(849\) | −2.85202 | + | 8.77761i | −0.0978810 | + | 0.301247i | ||||
\(850\) | 26.5227 | + | 7.20889i | 0.909721 | + | 0.247263i | ||||
\(851\) | −1.52793 | − | 4.70250i | −0.0523769 | − | 0.161200i | ||||
\(852\) | 9.28600 | + | 16.8912i | 0.318133 | + | 0.578682i | ||||
\(853\) | 23.1553 | − | 19.1558i | 0.792824 | − | 0.655881i | −0.150182 | − | 0.988658i | \(-0.547986\pi\) |
0.943005 | + | 0.332778i | \(0.107986\pi\) | |||||||
\(854\) | 34.9628 | − | 13.8427i | 1.19640 | − | 0.473689i | ||||
\(855\) | 16.9171 | + | 31.2913i | 0.578553 | + | 1.07014i | ||||
\(856\) | 0.0424865 | − | 0.675303i | 0.00145216 | − | 0.0230814i | ||||
\(857\) | 53.0731 | + | 17.2445i | 1.81294 | + | 0.589061i | 0.999977 | + | 0.00674955i | \(0.00214846\pi\) |
0.812966 | + | 0.582311i | \(0.197852\pi\) | |||||||
\(858\) | −108.399 | − | 89.6751i | −3.70067 | − | 3.06146i | ||||
\(859\) | 2.53075 | − | 13.2667i | 0.0863482 | − | 0.452653i | −0.912684 | − | 0.408666i | \(-0.865994\pi\) |
0.999032 | − | 0.0439869i | \(-0.0140060\pi\) | |||||||
\(860\) | 0.157868 | + | 0.860395i | 0.00538325 | + | 0.0293392i | ||||
\(861\) | −30.0526 | − | 3.79652i | −1.02419 | − | 0.129385i | ||||
\(862\) | 2.41349 | + | 19.1048i | 0.0822039 | + | 0.650711i | ||||
\(863\) | −7.43971 | − | 7.92248i | −0.253251 | − | 0.269684i | 0.589763 | − | 0.807576i | \(-0.299221\pi\) |
−0.843014 | + | 0.537892i | \(0.819221\pi\) | |||||||
\(864\) | −14.5009 | + | 30.8160i | −0.493331 | + | 1.04838i | ||||
\(865\) | −7.16588 | − | 22.5936i | −0.243647 | − | 0.768206i | ||||
\(866\) | −25.4486 | + | 3.21490i | −0.864778 | + | 0.109247i | ||||
\(867\) | −5.29442 | − | 20.6204i | −0.179808 | − | 0.700306i | ||||
\(868\) | 4.35153 | − | 1.41390i | 0.147701 | − | 0.0479908i | ||||
\(869\) | 74.2869 | + | 29.4123i | 2.52001 | + | 0.997742i | ||||
\(870\) | 47.5858 | − | 85.1349i | 1.61331 | − | 2.88634i | ||||
\(871\) | −3.96020 | − | 4.78705i | −0.134186 | − | 0.162203i | ||||
\(872\) | 7.05719 | − | 0.444001i | 0.238987 | − | 0.0150358i | ||||
\(873\) | −46.0860 | − | 21.6864i | −1.55977 | − | 0.733974i | ||||
\(874\) | 8.00178 | 0.270664 | ||||||||
\(875\) | 0.889797 | + | 21.3059i | 0.0300806 | + | 0.720271i | ||||
\(876\) | −29.1058 | −0.983393 | ||||||||
\(877\) | −6.55968 | − | 3.08675i | −0.221505 | − | 0.104232i | 0.311825 | − | 0.950139i | \(-0.399060\pi\) |
−0.533330 | + | 0.845907i | \(0.679060\pi\) | |||||||
\(878\) | −17.0048 | + | 1.06985i | −0.573886 | + | 0.0361058i | ||||
\(879\) | 44.6872 | + | 54.0176i | 1.50726 | + | 1.82197i | ||||
\(880\) | 50.9824 | + | 10.0974i | 1.71862 | + | 0.340384i | ||||
\(881\) | −16.1798 | − | 6.40605i | −0.545112 | − | 0.215825i | 0.0793963 | − | 0.996843i | \(-0.474701\pi\) |
−0.624509 | + | 0.781018i | \(0.714701\pi\) | |||||||
\(882\) | 28.6435 | − | 9.30684i | 0.964477 | − | 0.313378i | ||||
\(883\) | −2.57628 | − | 10.0340i | −0.0866988 | − | 0.337669i | 0.910405 | − | 0.413717i | \(-0.135770\pi\) |
−0.997104 | + | 0.0760479i | \(0.975770\pi\) | |||||||
\(884\) | −21.5570 | + | 2.72328i | −0.725039 | + | 0.0915937i | ||||
\(885\) | 2.93519 | − | 8.82205i | 0.0986655 | − | 0.296550i | ||||
\(886\) | −0.935163 | + | 1.98732i | −0.0314174 | + | 0.0667654i | ||||
\(887\) | −18.7157 | − | 19.9302i | −0.628411 | − | 0.669190i | 0.333438 | − | 0.942772i | \(-0.391791\pi\) |
−0.961849 | + | 0.273583i | \(0.911791\pi\) | |||||||
\(888\) | −1.80149 | − | 14.2602i | −0.0604539 | − | 0.478542i | ||||
\(889\) | −24.8460 | − | 3.13878i | −0.833308 | − | 0.105271i | ||||
\(890\) | −24.9609 | − | 23.7723i | −0.836692 | − | 0.796850i | ||||
\(891\) | −0.987096 | + | 5.17454i | −0.0330690 | + | 0.173354i | ||||
\(892\) | −14.9125 | − | 12.3367i | −0.499306 | − | 0.413062i | ||||
\(893\) | 5.83136 | + | 1.89472i | 0.195139 | + | 0.0634045i | ||||
\(894\) | −5.95420 | + | 94.6393i | −0.199138 | + | 3.16521i | ||||
\(895\) | −23.8007 | + | 4.36703i | −0.795571 | + | 0.145974i | ||||
\(896\) | −18.8907 | + | 7.47935i | −0.631094 | + | 0.249868i | ||||
\(897\) | 18.3388 | − | 15.1712i | 0.612316 | − | 0.506552i | ||||
\(898\) | 12.9580 | + | 23.5705i | 0.432415 | + | 0.786559i | ||||
\(899\) | −5.38907 | − | 16.5858i | −0.179735 | − | 0.553169i | ||||
\(900\) | 29.5940 | − | 3.31651i | 0.986465 | − | 0.110550i | ||||
\(901\) | −0.967498 | + | 2.97765i | −0.0322320 | + | 0.0992000i | ||||
\(902\) | 46.0425 | − | 8.78307i | 1.53305 | − | 0.292444i | ||||
\(903\) | −1.50294 | − | 0.953794i | −0.0500147 | − | 0.0317403i | ||||
\(904\) | 2.15217 | − | 3.39128i | 0.0715801 | − | 0.112792i | ||||
\(905\) | 28.1884 | + | 18.1682i | 0.937016 | + | 0.603931i | ||||
\(906\) | −11.7808 | + | 14.2405i | −0.391390 | + | 0.473109i | ||||
\(907\) | −14.0274 | + | 19.3070i | −0.465772 | + | 0.641080i | −0.975693 | − | 0.219141i | \(-0.929675\pi\) |
0.509921 | + | 0.860221i | \(0.329675\pi\) | |||||||
\(908\) | 2.29158 | − | 5.78788i | 0.0760489 | − | 0.192078i | ||||
\(909\) | −14.5654 | − | 30.9531i | −0.483105 | − | 1.02665i | ||||
\(910\) | −18.9842 | − | 41.0909i | −0.629320 | − | 1.36215i | ||||
\(911\) | −28.0462 | − | 26.3371i | −0.929211 | − | 0.872587i | 0.0628914 | − | 0.998020i | \(-0.479968\pi\) |
−0.992102 | + | 0.125434i | \(0.959968\pi\) | |||||||
\(912\) | 43.7816 | + | 8.35178i | 1.44975 | + | 0.276555i | ||||
\(913\) | −18.8521 | + | 34.2918i | −0.623913 | + | 1.13489i | ||||
\(914\) | 6.41686 | + | 33.6384i | 0.212251 | + | 1.11266i | ||||
\(915\) | 37.8818 | − | 58.7747i | 1.25233 | − | 1.94303i | ||||
\(916\) | 11.6913 | + | 6.42737i | 0.386293 | + | 0.212366i | ||||
\(917\) | 42.2780 | + | 2.65991i | 1.39614 | + | 0.0878379i | ||||
\(918\) | 18.4613 | + | 25.4098i | 0.609314 | + | 0.838648i | ||||
\(919\) | 40.9617 | − | 10.5172i | 1.35120 | − | 0.346930i | 0.497397 | − | 0.867523i | \(-0.334289\pi\) |
0.853805 | + | 0.520593i | \(0.174289\pi\) | |||||||
\(920\) | −1.71921 | + | 4.25458i | −0.0566807 | + | 0.140270i | ||||
\(921\) | 3.87230 | + | 61.5484i | 0.127597 | + | 2.02809i | ||||
\(922\) | 15.9984 | − | 62.3095i | 0.526878 | − | 2.05206i | ||||
\(923\) | 4.27344 | − | 33.8278i | 0.140662 | − | 1.11345i | ||||
\(924\) | 24.2773 | − | 17.6385i | 0.798666 | − | 0.580265i | ||||
\(925\) | −13.6286 | + | 10.9555i | −0.448106 | + | 0.360213i | ||||
\(926\) | 32.5445 | + | 23.6450i | 1.06948 | + | 0.777022i | ||||
\(927\) | 21.3730 | − | 22.7600i | 0.701983 | − | 0.747536i | ||||
\(928\) | −18.9335 | − | 47.8205i | −0.621522 | − | 1.56979i | ||||
\(929\) | −42.4684 | − | 10.9040i | −1.39334 | − | 0.357750i | −0.523898 | − | 0.851781i | \(-0.675523\pi\) |
−0.869444 | + | 0.494031i | \(0.835523\pi\) | |||||||
\(930\) | 13.5575 | − | 18.3870i | 0.444567 | − | 0.602933i | ||||
\(931\) | −5.71136 | − | 8.99966i | −0.187182 | − | 0.294952i | ||||
\(932\) | − | 8.24691i | − | 0.270137i | ||||||
\(933\) | −34.5097 | + | 21.9005i | −1.12980 | + | 0.716990i | ||||
\(934\) | 38.1466 | − | 35.8221i | 1.24820 | − | 1.17213i | ||||
\(935\) | 20.7197 | − | 24.6903i | 0.677606 | − | 0.807458i | ||||
\(936\) | 37.9446 | − | 20.8602i | 1.24026 | − | 0.681838i | ||||
\(937\) | 21.3369 | − | 10.0404i | 0.697046 | − | 0.328005i | −0.0444032 | − | 0.999014i | \(-0.514139\pi\) |
0.741450 | + | 0.671009i | \(0.234139\pi\) | |||||||
\(938\) | 3.21960 | − | 1.51503i | 0.105124 | − | 0.0494674i | ||||
\(939\) | 20.4116 | − | 11.2214i | 0.666109 | − | 0.366196i | ||||
\(940\) | 3.29965 | − | 3.93197i | 0.107623 | − | 0.128247i | ||||
\(941\) | −18.5939 | + | 17.4608i | −0.606143 | + | 0.569206i | −0.925652 | − | 0.378377i | \(-0.876482\pi\) |
0.319508 | + | 0.947583i | \(0.396482\pi\) | |||||||
\(942\) | −81.1618 | + | 51.5068i | −2.64439 | + | 1.67818i | ||||
\(943\) | 7.92991i | 0.258233i | ||||||||
\(944\) | −3.90663 | − | 6.15586i | −0.127150 | − | 0.200356i | ||||
\(945\) | −14.4616 | + | 19.6133i | −0.470437 | + | 0.638019i | ||||
\(946\) | 2.66789 | + | 0.684997i | 0.0867405 | + | 0.0222712i | ||||
\(947\) | 12.6805 | + | 32.0272i | 0.412059 | + | 1.04074i | 0.976547 | + | 0.215302i | \(0.0690736\pi\) |
−0.564488 | + | 0.825441i | \(0.690926\pi\) | |||||||
\(948\) | 39.2667 | − | 41.8148i | 1.27532 | − | 1.35808i | ||||
\(949\) | 41.6528 | + | 30.2626i | 1.35211 | + | 0.982364i | ||||
\(950\) | −10.0462 | − | 26.4547i | −0.325941 | − | 0.858304i | ||||
\(951\) | −59.3593 | + | 43.1271i | −1.92486 | + | 1.39849i | ||||
\(952\) | −1.06842 | + | 8.45742i | −0.0346277 | + | 0.274106i | ||||
\(953\) | −12.8204 | + | 49.9322i | −0.415294 | + | 1.61746i | 0.325369 | + | 0.945587i | \(0.394512\pi\) |
−0.740663 | + | 0.671877i | \(0.765488\pi\) | |||||||
\(954\) | 0.571910 | + | 9.09025i | 0.0185163 | + | 0.294308i | ||||
\(955\) | −12.0255 | + | 29.7599i | −0.389136 | + | 0.963008i | ||||
\(956\) | −2.74388 | + | 0.704508i | −0.0887434 | + | 0.0227854i | ||||
\(957\) | −67.2292 | − | 92.5331i | −2.17321 | − | 2.99117i | ||||
\(958\) | 32.7648 | + | 2.06139i | 1.05858 | + | 0.0666003i | ||||
\(959\) | −3.10251 | − | 1.70562i | −0.100185 | − | 0.0550773i | ||||
\(960\) | 2.43808 | − | 3.78275i | 0.0786888 | − | 0.122088i | ||||
\(961\) | 5.04340 | + | 26.4384i | 0.162690 | + | 0.852852i | ||||
\(962\) | 17.8811 | − | 32.5256i | 0.576510 | − | 1.04867i | ||||
\(963\) | −2.29773 | − | 0.438315i | −0.0740433 | − | 0.0141245i | ||||
\(964\) | 23.9363 | + | 22.4777i | 0.770936 | + | 0.723957i | ||||
\(965\) | 15.1541 | + | 32.8007i | 0.487827 | + | 1.05589i | ||||
\(966\) | 5.80395 | + | 12.3340i | 0.186739 | + | 0.396841i | ||||
\(967\) | 21.3917 | − | 54.0294i | 0.687912 | − | 1.73747i | 0.0126170 | − | 0.999920i | \(-0.495984\pi\) |
0.675295 | − | 0.737548i | \(-0.264016\pi\) | |||||||
\(968\) | 9.31191 | − | 12.8168i | 0.299296 | − | 0.411946i | ||||
\(969\) | 17.6196 | − | 21.2984i | 0.566022 | − | 0.684203i | ||||
\(970\) | 34.0577 | + | 21.9511i | 1.09353 | + | 0.704806i | ||||
\(971\) | 8.78587 | − | 13.8443i | 0.281952 | − | 0.444285i | −0.673605 | − | 0.739091i | \(-0.735255\pi\) |
0.955557 | + | 0.294806i | \(0.0952551\pi\) | |||||||
\(972\) | −13.9849 | − | 8.87509i | −0.448566 | − | 0.284669i | ||||
\(973\) | −25.0357 | + | 4.77581i | −0.802606 | + | 0.153105i | ||||
\(974\) | 13.3112 | − | 40.9676i | 0.426518 | − | 1.31269i | ||||
\(975\) | −73.1819 | − | 41.5827i | −2.34370 | − | 1.33171i | ||||
\(976\) | −16.9443 | − | 52.1493i | −0.542375 | − | 1.66926i | ||||
\(977\) | 9.86269 | + | 17.9402i | 0.315535 | + | 0.573957i | 0.985751 | − | 0.168209i | \(-0.0537985\pi\) |
−0.670216 | + | 0.742166i | \(0.733798\pi\) | |||||||
\(978\) | 35.0582 | − | 29.0027i | 1.12104 | − | 0.927403i | ||||
\(979\) | −37.5849 | + | 14.8809i | −1.20122 | + | 0.475596i | ||||
\(980\) | −8.77679 | + | 1.61039i | −0.280364 | + | 0.0514420i | ||||
\(981\) | 1.53493 | − | 24.3970i | 0.0490065 | − | 0.778935i | ||||
\(982\) | 9.33708 | + | 3.03380i | 0.297958 | + | 0.0968124i | ||||
\(983\) | −40.6029 | − | 33.5896i | −1.29503 | − | 1.07134i | −0.993009 | − | 0.118043i | \(-0.962338\pi\) |
−0.302023 | − | 0.953301i | \(-0.597662\pi\) | |||||||
\(984\) | −4.31953 | + | 22.6438i | −0.137702 | + | 0.721858i | ||||
\(985\) | 13.2429 | + | 12.6123i | 0.421955 | + | 0.401862i | ||||
\(986\) | −47.0577 | − | 5.94477i | −1.49862 | − | 0.189320i | ||||
\(987\) | 1.30913 | + | 10.3628i | 0.0416701 | + | 0.329852i | ||||
\(988\) | 15.3140 | + | 16.3078i | 0.487205 | + | 0.518820i | ||||
\(989\) | −0.198410 | + | 0.421642i | −0.00630907 | + | 0.0134074i | ||||
\(990\) | 29.6023 | − | 88.9729i | 0.940822 | − | 2.82775i | ||||
\(991\) | 13.6834 | − | 1.72861i | 0.434666 | − | 0.0549111i | 0.0950441 | − | 0.995473i | \(-0.469701\pi\) |
0.339622 | + | 0.940562i | \(0.389701\pi\) | |||||||
\(992\) | −2.99597 | − | 11.6685i | −0.0951221 | − | 0.370476i | ||||
\(993\) | 44.3047 | − | 14.3955i | 1.40597 | − | 0.456827i | ||||
\(994\) | 18.1567 | + | 7.18875i | 0.575896 | + | 0.228013i | ||||
\(995\) | −0.446332 | − | 0.0883992i | −0.0141497 | − | 0.00280244i | ||||
\(996\) | 17.9082 | + | 21.6472i | 0.567441 | + | 0.685919i | ||||
\(997\) | −12.5679 | + | 0.790705i | −0.398029 | + | 0.0250419i | −0.260544 | − | 0.965462i | \(-0.583902\pi\) |
−0.137485 | + | 0.990504i | \(0.543902\pi\) | |||||||
\(998\) | 13.6289 | + | 6.41326i | 0.431415 | + | 0.203008i | ||||
\(999\) | −19.9821 | −0.632204 |
(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 | 125.2.h.a.9.3 | ✓ | 240 | |
5.2 | odd | 4 | 625.2.g.b.326.19 | 480 | |||
5.3 | odd | 4 | 625.2.g.b.326.6 | 480 | |||
5.4 | even | 2 | 625.2.h.a.299.10 | 240 | |||
125.14 | even | 50 | inner | 125.2.h.a.14.3 | yes | 240 | |
125.48 | odd | 100 | 625.2.g.b.301.6 | 480 | |||
125.77 | odd | 100 | 625.2.g.b.301.19 | 480 | |||
125.111 | even | 25 | 625.2.h.a.324.10 | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
125.2.h.a.9.3 | ✓ | 240 | 1.1 | even | 1 | trivial | |
125.2.h.a.14.3 | yes | 240 | 125.14 | even | 50 | inner | |
625.2.g.b.301.6 | 480 | 125.48 | odd | 100 | |||
625.2.g.b.301.19 | 480 | 125.77 | odd | 100 | |||
625.2.g.b.326.6 | 480 | 5.3 | odd | 4 | |||
625.2.g.b.326.19 | 480 | 5.2 | odd | 4 | |||
625.2.h.a.299.10 | 240 | 5.4 | even | 2 | |||
625.2.h.a.324.10 | 240 | 125.111 | even | 25 |