Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [49,2,Mod(2,49)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(49, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([26]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("49.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 49 = 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 49.g (of order \(21\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.391266969904\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 25.1 | ||
Character | \(\chi\) | \(=\) | 49.25 |
Dual form | 49.2.g.a.2.1 |
$q$-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 \(\left(\mathbb{Z}/49\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{8}{21}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.50546 | + | 0.772833i | −1.77163 | + | 0.546475i | −0.996367 | − | 0.0851631i | \(-0.972859\pi\) |
−0.775263 | + | 0.631639i | \(0.782383\pi\) | |||||||
\(3\) | −0.539916 | − | 1.37568i | −0.311721 | − | 0.794252i | −0.997773 | − | 0.0666995i | \(-0.978753\pi\) |
0.686052 | − | 0.727552i | \(-0.259342\pi\) | |||||||
\(4\) | 4.02760 | − | 2.74597i | 2.01380 | − | 1.37298i | ||||
\(5\) | 2.04183 | + | 0.307757i | 0.913135 | + | 0.137633i | 0.588772 | − | 0.808300i | \(-0.299612\pi\) |
0.324364 | + | 0.945932i | \(0.394850\pi\) | |||||||
\(6\) | 2.41591 | + | 3.02946i | 0.986293 | + | 1.23677i | ||||
\(7\) | 0.189789 | − | 2.63894i | 0.0717335 | − | 0.997424i | ||||
\(8\) | −4.69930 | + | 5.89274i | −1.66146 | + | 2.08340i | ||||
\(9\) | 0.598158 | − | 0.555009i | 0.199386 | − | 0.185003i | ||||
\(10\) | −5.35358 | + | 0.806922i | −1.69295 | + | 0.255171i | ||||
\(11\) | −1.36984 | − | 1.27103i | −0.413024 | − | 0.383230i | 0.446113 | − | 0.894977i | \(-0.352808\pi\) |
−0.859136 | + | 0.511747i | \(0.828999\pi\) | |||||||
\(12\) | −5.95215 | − | 4.05811i | −1.71824 | − | 1.17148i | ||||
\(13\) | −0.677236 | + | 2.96716i | −0.187831 | + | 0.822943i | 0.789926 | + | 0.613203i | \(0.210119\pi\) |
−0.977757 | + | 0.209741i | \(0.932738\pi\) | |||||||
\(14\) | 1.56395 | + | 6.75843i | 0.417983 | + | 1.80627i | ||||
\(15\) | −0.679042 | − | 2.97508i | −0.175328 | − | 0.768162i | ||||
\(16\) | 3.65803 | − | 9.32052i | 0.914509 | − | 2.33013i | ||||
\(17\) | −0.104929 | + | 1.40017i | −0.0254489 | + | 0.339592i | 0.969917 | + | 0.243435i | \(0.0782742\pi\) |
−0.995366 | + | 0.0961572i | \(0.969345\pi\) | |||||||
\(18\) | −1.06973 | + | 1.85283i | −0.252139 | + | 0.436717i | ||||
\(19\) | 2.73229 | + | 4.73247i | 0.626831 | + | 1.08570i | 0.988184 | + | 0.153274i | \(0.0489816\pi\) |
−0.361353 | + | 0.932429i | \(0.617685\pi\) | |||||||
\(20\) | 9.06877 | − | 4.36729i | 2.02784 | − | 0.976555i | ||||
\(21\) | −3.73281 | + | 1.16371i | −0.814566 | + | 0.253943i | ||||
\(22\) | 4.41439 | + | 2.12586i | 0.941151 | + | 0.453234i | ||||
\(23\) | −0.0152199 | − | 0.203095i | −0.00317356 | − | 0.0423482i | 0.995392 | − | 0.0958873i | \(-0.0305689\pi\) |
−0.998566 | + | 0.0535391i | \(0.982950\pi\) | |||||||
\(24\) | 10.6438 | + | 3.28317i | 2.17265 | + | 0.670175i | ||||
\(25\) | −0.703500 | − | 0.217001i | −0.140700 | − | 0.0434002i | ||||
\(26\) | −0.596333 | − | 7.95751i | −0.116951 | − | 1.56060i | ||||
\(27\) | −5.08094 | − | 2.44685i | −0.977828 | − | 0.470897i | ||||
\(28\) | −6.48204 | − | 11.1497i | −1.22499 | − | 2.10710i | ||||
\(29\) | 1.62320 | − | 0.781691i | 0.301420 | − | 0.145156i | −0.277060 | − | 0.960853i | \(-0.589360\pi\) |
0.578480 | + | 0.815696i | \(0.303646\pi\) | |||||||
\(30\) | 4.00056 | + | 6.92917i | 0.730398 | + | 1.26509i | ||||
\(31\) | −2.57807 | + | 4.46535i | −0.463035 | + | 0.802000i | −0.999110 | − | 0.0421697i | \(-0.986573\pi\) |
0.536075 | + | 0.844170i | \(0.319906\pi\) | |||||||
\(32\) | −0.835369 | + | 11.1472i | −0.147674 | + | 1.97057i | ||||
\(33\) | −1.00893 | + | 2.57072i | −0.175633 | + | 0.447506i | ||||
\(34\) | −0.819206 | − | 3.58918i | −0.140493 | − | 0.615539i | ||||
\(35\) | 1.19967 | − | 5.32985i | 0.202781 | − | 0.900910i | ||||
\(36\) | 0.885100 | − | 3.87788i | 0.147517 | − | 0.646313i | ||||
\(37\) | 6.23369 | + | 4.25006i | 1.02481 | + | 0.698705i | 0.954314 | − | 0.298807i | \(-0.0965886\pi\) |
0.0704986 | + | 0.997512i | \(0.477541\pi\) | |||||||
\(38\) | −10.5031 | − | 9.74542i | −1.70382 | − | 1.58092i | ||||
\(39\) | 4.44753 | − | 0.670357i | 0.712175 | − | 0.107343i | ||||
\(40\) | −11.4087 | + | 10.5857i | −1.80388 | + | 1.67375i | ||||
\(41\) | −5.90598 | + | 7.40586i | −0.922359 | + | 1.15660i | 0.0649659 | + | 0.997887i | \(0.479306\pi\) |
−0.987325 | + | 0.158714i | \(0.949265\pi\) | |||||||
\(42\) | 8.45307 | − | 5.80048i | 1.30434 | − | 0.895034i | ||||
\(43\) | 1.60000 | + | 2.00633i | 0.243997 | + | 0.305963i | 0.888717 | − | 0.458456i | \(-0.151597\pi\) |
−0.644720 | + | 0.764419i | \(0.723026\pi\) | |||||||
\(44\) | −9.00739 | − | 1.35765i | −1.35792 | − | 0.204673i | ||||
\(45\) | 1.39215 | − | 0.949149i | 0.207529 | − | 0.141491i | ||||
\(46\) | 0.195091 | + | 0.497084i | 0.0287646 | + | 0.0732911i | ||||
\(47\) | 1.58858 | − | 0.490011i | 0.231718 | − | 0.0714754i | −0.176722 | − | 0.984261i | \(-0.556549\pi\) |
0.408439 | + | 0.912785i | \(0.366073\pi\) | |||||||
\(48\) | −14.7971 | −2.13578 | ||||||||
\(49\) | −6.92796 | − | 1.00168i | −0.989709 | − | 0.143097i | ||||
\(50\) | 1.93030 | 0.272985 | ||||||||
\(51\) | 1.98285 | − | 0.611628i | 0.277655 | − | 0.0856451i | ||||
\(52\) | 5.42011 | + | 13.8102i | 0.751634 | + | 1.91513i | ||||
\(53\) | 5.98035 | − | 4.07733i | 0.821464 | − | 0.560065i | −0.0780537 | − | 0.996949i | \(-0.524871\pi\) |
0.899518 | + | 0.436885i | \(0.143918\pi\) | |||||||
\(54\) | 14.6211 | + | 2.20378i | 1.98968 | + | 0.299896i | ||||
\(55\) | −2.40583 | − | 3.01681i | −0.324401 | − | 0.406786i | ||||
\(56\) | 14.6587 | + | 13.5195i | 1.95885 | + | 1.80662i | ||||
\(57\) | 5.03517 | − | 6.31391i | 0.666925 | − | 0.836298i | ||||
\(58\) | −3.46275 | + | 3.21296i | −0.454681 | + | 0.421882i | ||||
\(59\) | 8.25485 | − | 1.24422i | 1.07469 | − | 0.161983i | 0.412229 | − | 0.911080i | \(-0.364750\pi\) |
0.662460 | + | 0.749097i | \(0.269512\pi\) | |||||||
\(60\) | −10.9044 | − | 10.1178i | −1.40775 | − | 1.30620i | ||||
\(61\) | −5.45679 | − | 3.72038i | −0.698671 | − | 0.476345i | 0.161158 | − | 0.986929i | \(-0.448477\pi\) |
−0.859828 | + | 0.510583i | \(0.829430\pi\) | |||||||
\(62\) | 3.00829 | − | 13.1802i | 0.382053 | − | 1.67389i | ||||
\(63\) | −1.35111 | − | 1.68383i | −0.170224 | − | 0.212143i | ||||
\(64\) | −2.06590 | − | 9.05131i | −0.258238 | − | 1.13141i | ||||
\(65\) | −2.29597 | + | 5.85003i | −0.284780 | + | 0.725607i | ||||
\(66\) | 0.541109 | − | 7.22059i | 0.0666059 | − | 0.888793i | ||||
\(67\) | −1.78982 | + | 3.10006i | −0.218661 | + | 0.378732i | −0.954399 | − | 0.298534i | \(-0.903502\pi\) |
0.735738 | + | 0.677267i | \(0.236836\pi\) | |||||||
\(68\) | 3.42222 | + | 5.92747i | 0.415006 | + | 0.718811i | ||||
\(69\) | −0.271177 | + | 0.130592i | −0.0326459 | + | 0.0157214i | ||||
\(70\) | 1.11337 | + | 14.2809i | 0.133073 | + | 1.70689i | ||||
\(71\) | −6.02101 | − | 2.89956i | −0.714562 | − | 0.344115i | 0.0410295 | − | 0.999158i | \(-0.486936\pi\) |
−0.755592 | + | 0.655043i | \(0.772651\pi\) | |||||||
\(72\) | 0.459601 | + | 6.13295i | 0.0541645 | + | 0.722775i | ||||
\(73\) | −0.168909 | − | 0.0521016i | −0.0197693 | − | 0.00609804i | 0.284855 | − | 0.958571i | \(-0.408055\pi\) |
−0.304624 | + | 0.952473i | \(0.598531\pi\) | |||||||
\(74\) | −18.9029 | − | 5.83076i | −2.19741 | − | 0.677812i | ||||
\(75\) | 0.0813062 | + | 1.08496i | 0.00938843 | + | 0.125280i | ||||
\(76\) | 23.9998 | + | 11.5577i | 2.75296 | + | 1.32576i | ||||
\(77\) | −3.61415 | + | 3.37370i | −0.411870 | + | 0.384469i | ||||
\(78\) | −10.6251 | + | 5.11676i | −1.20305 | + | 0.579358i | ||||
\(79\) | −7.82581 | − | 13.5547i | −0.880473 | − | 1.52502i | −0.850816 | − | 0.525463i | \(-0.823892\pi\) |
−0.0296560 | − | 0.999560i | \(-0.509441\pi\) | |||||||
\(80\) | 10.3375 | − | 17.9052i | 1.15577 | − | 2.00186i | ||||
\(81\) | −0.439878 | + | 5.86976i | −0.0488753 | + | 0.652196i | ||||
\(82\) | 9.07372 | − | 23.1194i | 1.00202 | − | 2.55312i | ||||
\(83\) | 2.14456 | + | 9.39591i | 0.235396 | + | 1.03134i | 0.945086 | + | 0.326822i | \(0.105978\pi\) |
−0.709691 | + | 0.704514i | \(0.751165\pi\) | |||||||
\(84\) | −11.8387 | + | 14.9372i | −1.29171 | + | 1.62978i | ||||
\(85\) | −0.645159 | + | 2.82663i | −0.0699773 | + | 0.306591i | ||||
\(86\) | −5.55929 | − | 3.79026i | −0.599474 | − | 0.408714i | ||||
\(87\) | −1.95175 | − | 1.81096i | −0.209250 | − | 0.194155i | ||||
\(88\) | 13.9272 | − | 2.09918i | 1.48464 | − | 0.223774i | ||||
\(89\) | 0.911046 | − | 0.845327i | 0.0965706 | − | 0.0896045i | −0.630410 | − | 0.776262i | \(-0.717113\pi\) |
0.726981 | + | 0.686658i | \(0.240923\pi\) | |||||||
\(90\) | −2.75444 | + | 3.45395i | −0.290343 | + | 0.364079i | ||||
\(91\) | 7.70162 | + | 2.35032i | 0.807349 | + | 0.246380i | ||||
\(92\) | −0.618992 | − | 0.776191i | −0.0645344 | − | 0.0809235i | ||||
\(93\) | 7.53485 | + | 1.13570i | 0.781328 | + | 0.117766i | ||||
\(94\) | −3.60142 | + | 2.45541i | −0.371458 | + | 0.253256i | ||||
\(95\) | 4.12243 | + | 10.5038i | 0.422953 | + | 1.07767i | ||||
\(96\) | 15.7861 | − | 4.86936i | 1.61116 | − | 0.496977i | ||||
\(97\) | 13.9109 | 1.41244 | 0.706218 | − | 0.707995i | \(-0.250400\pi\) | ||||
0.706218 | + | 0.707995i | \(0.250400\pi\) | |||||||
\(98\) | 18.1319 | − | 2.84448i | 1.83160 | − | 0.287336i | ||||
\(99\) | −1.52482 | −0.153250 | ||||||||
\(100\) | −3.42929 | + | 1.05780i | −0.342929 | + | 0.105780i | ||||
\(101\) | −0.487085 | − | 1.24107i | −0.0484667 | − | 0.123491i | 0.904590 | − | 0.426282i | \(-0.140177\pi\) |
−0.953057 | + | 0.302791i | \(0.902082\pi\) | |||||||
\(102\) | −4.49527 | + | 3.06482i | −0.445098 | + | 0.303463i | ||||
\(103\) | −7.54399 | − | 1.13707i | −0.743331 | − | 0.112039i | −0.233552 | − | 0.972344i | \(-0.575035\pi\) |
−0.509779 | + | 0.860305i | \(0.670273\pi\) | |||||||
\(104\) | −14.3022 | − | 17.9344i | −1.40245 | − | 1.75861i | ||||
\(105\) | −7.97992 | + | 1.22731i | −0.778760 | + | 0.119773i | ||||
\(106\) | −11.8324 | + | 14.8374i | −1.14927 | + | 1.44114i | ||||
\(107\) | −1.18174 | + | 1.09649i | −0.114243 | + | 0.106002i | −0.735226 | − | 0.677822i | \(-0.762924\pi\) |
0.620983 | + | 0.783824i | \(0.286734\pi\) | |||||||
\(108\) | −27.1830 | + | 4.09717i | −2.61568 | + | 0.394251i | ||||
\(109\) | −7.47506 | − | 6.93584i | −0.715981 | − | 0.664333i | 0.235558 | − | 0.971860i | \(-0.424308\pi\) |
−0.951539 | + | 0.307527i | \(0.900499\pi\) | |||||||
\(110\) | 8.35920 | + | 5.69920i | 0.797018 | + | 0.543398i | ||||
\(111\) | 2.48107 | − | 10.8703i | 0.235492 | − | 1.03176i | ||||
\(112\) | −23.9020 | − | 11.4222i | −2.25853 | − | 1.07930i | ||||
\(113\) | −1.56953 | − | 6.87656i | −0.147649 | − | 0.646893i | −0.993535 | − | 0.113528i | \(-0.963785\pi\) |
0.845886 | − | 0.533364i | \(-0.179072\pi\) | |||||||
\(114\) | −7.73585 | + | 19.7106i | −0.724528 | + | 1.84607i | ||||
\(115\) | 0.0314274 | − | 0.419370i | 0.00293062 | − | 0.0391064i | ||||
\(116\) | 4.39109 | − | 7.60559i | 0.407702 | − | 0.706161i | ||||
\(117\) | 1.24171 | + | 2.15070i | 0.114796 | + | 0.198833i | ||||
\(118\) | −19.7206 | + | 9.49696i | −1.81543 | + | 0.874266i | ||||
\(119\) | 3.67505 | + | 0.542637i | 0.336892 | + | 0.0497435i | ||||
\(120\) | 20.7224 | + | 9.97938i | 1.89169 | + | 0.910989i | ||||
\(121\) | −0.561074 | − | 7.48701i | −0.0510067 | − | 0.680638i | ||||
\(122\) | 16.5470 | + | 5.10408i | 1.49810 | + | 0.462102i | ||||
\(123\) | 13.3769 | + | 4.12622i | 1.20615 | + | 0.372048i | ||||
\(124\) | 1.87828 | + | 25.0639i | 0.168675 | + | 2.25081i | ||||
\(125\) | −10.6717 | − | 5.13921i | −0.954504 | − | 0.459665i | ||||
\(126\) | 4.68648 | + | 3.17460i | 0.417505 | + | 0.282816i | ||||
\(127\) | −0.0652974 | + | 0.0314456i | −0.00579421 | + | 0.00279034i | −0.436779 | − | 0.899569i | \(-0.643881\pi\) |
0.430984 | + | 0.902359i | \(0.358166\pi\) | |||||||
\(128\) | 0.992721 | + | 1.71944i | 0.0877450 | + | 0.151979i | ||||
\(129\) | 1.89622 | − | 3.28434i | 0.166952 | − | 0.289170i | ||||
\(130\) | 1.23137 | − | 16.4314i | 0.107998 | − | 1.44113i | ||||
\(131\) | −6.79968 | + | 17.3253i | −0.594090 | + | 1.51372i | 0.244887 | + | 0.969552i | \(0.421249\pi\) |
−0.838977 | + | 0.544166i | \(0.816846\pi\) | |||||||
\(132\) | 2.99555 | + | 13.1243i | 0.260729 | + | 1.14233i | ||||
\(133\) | 13.0072 | − | 6.31217i | 1.12787 | − | 0.547335i | ||||
\(134\) | 2.08850 | − | 9.15032i | 0.180419 | − | 0.790467i | ||||
\(135\) | −9.62140 | − | 6.55976i | −0.828078 | − | 0.564574i | ||||
\(136\) | −7.75777 | − | 7.19816i | −0.665223 | − | 0.617237i | ||||
\(137\) | −7.87758 | + | 1.18735i | −0.673027 | + | 0.101443i | −0.476660 | − | 0.879088i | \(-0.658153\pi\) |
−0.196367 | + | 0.980530i | \(0.562915\pi\) | |||||||
\(138\) | 0.578498 | − | 0.536768i | 0.0492450 | − | 0.0456927i | ||||
\(139\) | 11.8104 | − | 14.8098i | 1.00175 | − | 1.25615i | 0.0352743 | − | 0.999378i | \(-0.488770\pi\) |
0.966472 | − | 0.256772i | \(-0.0826590\pi\) | |||||||
\(140\) | −9.80384 | − | 24.7608i | −0.828576 | − | 2.09267i | ||||
\(141\) | −1.53180 | − | 1.92081i | −0.129001 | − | 0.161762i | ||||
\(142\) | 17.3263 | + | 2.61152i | 1.45399 | + | 0.219154i | ||||
\(143\) | 4.69906 | − | 3.20377i | 0.392955 | − | 0.267912i | ||||
\(144\) | −2.98489 | − | 7.60539i | −0.248741 | − | 0.633782i | ||||
\(145\) | 3.55487 | − | 1.09653i | 0.295216 | − | 0.0910620i | ||||
\(146\) | 0.463462 | 0.0383564 | ||||||||
\(147\) | 2.36252 | + | 10.0715i | 0.194857 | + | 0.830684i | ||||
\(148\) | 36.7773 | 3.02308 | ||||||||
\(149\) | 22.5849 | − | 6.96653i | 1.85023 | − | 0.570720i | 0.851290 | − | 0.524696i | \(-0.175821\pi\) |
0.998940 | − | 0.0460243i | \(-0.0146552\pi\) | |||||||
\(150\) | −1.04220 | − | 2.65548i | −0.0850952 | − | 0.216819i | ||||
\(151\) | −7.34454 | + | 5.00742i | −0.597690 | + | 0.407498i | −0.824027 | − | 0.566551i | \(-0.808277\pi\) |
0.226337 | + | 0.974049i | \(0.427325\pi\) | |||||||
\(152\) | −40.7271 | − | 6.13862i | −3.30340 | − | 0.497908i | ||||
\(153\) | 0.714346 | + | 0.895761i | 0.0577514 | + | 0.0724180i | ||||
\(154\) | 6.44780 | − | 11.2458i | 0.519579 | − | 0.906214i | ||||
\(155\) | −6.63823 | + | 8.32408i | −0.533195 | + | 0.668606i | ||||
\(156\) | 16.0721 | − | 14.9127i | 1.28680 | − | 1.19397i | ||||
\(157\) | 1.56441 | − | 0.235797i | 0.124853 | − | 0.0188186i | −0.0863183 | − | 0.996268i | \(-0.527510\pi\) |
0.211172 | + | 0.977449i | \(0.432272\pi\) | |||||||
\(158\) | 30.0828 | + | 27.9128i | 2.39326 | + | 2.22062i | ||||
\(159\) | −8.83801 | − | 6.02565i | −0.700900 | − | 0.477865i | ||||
\(160\) | −5.13631 | + | 22.5037i | −0.406061 | + | 1.77907i | ||||
\(161\) | −0.538843 | + | 0.00161907i | −0.0424668 | + | 0.000127600i | ||||
\(162\) | −3.43425 | − | 15.0464i | −0.269820 | − | 1.18216i | ||||
\(163\) | −5.73215 | + | 14.6053i | −0.448976 | + | 1.14397i | 0.509921 | + | 0.860221i | \(0.329674\pi\) |
−0.958898 | + | 0.283752i | \(0.908421\pi\) | |||||||
\(164\) | −3.45063 | + | 46.0455i | −0.269449 | + | 3.59555i | ||||
\(165\) | −2.85123 | + | 4.93848i | −0.221968 | + | 0.384460i | ||||
\(166\) | −12.6346 | − | 21.8837i | −0.980633 | − | 1.69851i | ||||
\(167\) | −6.00479 | + | 2.89175i | −0.464664 | + | 0.223771i | −0.651542 | − | 0.758613i | \(-0.725878\pi\) |
0.186877 | + | 0.982383i | \(0.440163\pi\) | |||||||
\(168\) | 10.6842 | − | 27.4651i | 0.824300 | − | 2.11898i | ||||
\(169\) | 3.36718 | + | 1.62155i | 0.259014 | + | 0.124735i | ||||
\(170\) | −0.568088 | − | 7.58061i | −0.0435704 | − | 0.581406i | ||||
\(171\) | 4.26091 | + | 1.31432i | 0.325840 | + | 0.100508i | ||||
\(172\) | 11.9535 | + | 3.68716i | 0.911444 | + | 0.281143i | ||||
\(173\) | −1.57547 | − | 21.0232i | −0.119781 | − | 1.59837i | −0.656315 | − | 0.754487i | \(-0.727886\pi\) |
0.536534 | − | 0.843879i | \(-0.319733\pi\) | |||||||
\(174\) | 6.28961 | + | 3.02892i | 0.476814 | + | 0.229622i | ||||
\(175\) | −0.706168 | + | 1.81531i | −0.0533813 | + | 0.137224i | ||||
\(176\) | −16.8576 | + | 8.11819i | −1.27069 | + | 0.611932i | ||||
\(177\) | −6.16858 | − | 10.6843i | −0.463659 | − | 0.803080i | ||||
\(178\) | −1.62929 | + | 2.82202i | −0.122121 | + | 0.211519i | ||||
\(179\) | −1.49710 | + | 19.9774i | −0.111899 | + | 1.49318i | 0.605123 | + | 0.796132i | \(0.293124\pi\) |
−0.717022 | + | 0.697051i | \(0.754495\pi\) | |||||||
\(180\) | 3.00067 | − | 7.64558i | 0.223657 | − | 0.569868i | ||||
\(181\) | 1.67180 | + | 7.32462i | 0.124264 | + | 0.544435i | 0.998285 | + | 0.0585468i | \(0.0186467\pi\) |
−0.874021 | + | 0.485888i | \(0.838496\pi\) | |||||||
\(182\) | −21.1125 | + | 0.0634371i | −1.56497 | + | 0.00470227i | ||||
\(183\) | −2.17185 | + | 9.51551i | −0.160548 | + | 0.703407i | ||||
\(184\) | 1.26831 | + | 0.864718i | 0.0935009 | + | 0.0637479i | ||||
\(185\) | 11.4202 | + | 10.5964i | 0.839627 | + | 0.779060i | ||||
\(186\) | −19.7560 | + | 2.97774i | −1.44858 | + | 0.218338i | ||||
\(187\) | 1.92340 | − | 1.78465i | 0.140653 | − | 0.130507i | ||||
\(188\) | 5.05259 | − | 6.33575i | 0.368498 | − | 0.462082i | ||||
\(189\) | −7.42139 | + | 12.9439i | −0.539827 | + | 0.941530i | ||||
\(190\) | −18.4463 | − | 23.1309i | −1.33823 | − | 1.67809i | ||||
\(191\) | 4.59992 | + | 0.693327i | 0.332839 | + | 0.0501674i | 0.313336 | − | 0.949642i | \(-0.398554\pi\) |
0.0195030 | + | 0.999810i | \(0.493792\pi\) | |||||||
\(192\) | −11.3363 | + | 7.72898i | −0.818129 | + | 0.557791i | ||||
\(193\) | −8.01876 | − | 20.4315i | −0.577203 | − | 1.47069i | −0.859385 | − | 0.511329i | \(-0.829153\pi\) |
0.282182 | − | 0.959361i | \(-0.408942\pi\) | |||||||
\(194\) | −34.8532 | + | 10.7508i | −2.50231 | + | 0.771861i | ||||
\(195\) | 9.28742 | 0.665086 | ||||||||
\(196\) | −30.6536 | + | 14.9896i | −2.18954 | + | 1.07069i | ||||
\(197\) | −14.4765 | −1.03141 | −0.515705 | − | 0.856766i | \(-0.672470\pi\) | ||||
−0.515705 | + | 0.856766i | \(0.672470\pi\) | |||||||
\(198\) | 3.82037 | − | 1.17843i | 0.271502 | − | 0.0837473i | ||||
\(199\) | −2.35273 | − | 5.99466i | −0.166781 | − | 0.424951i | 0.822910 | − | 0.568172i | \(-0.192349\pi\) |
−0.989691 | + | 0.143221i | \(0.954254\pi\) | |||||||
\(200\) | 4.58469 | − | 3.12579i | 0.324186 | − | 0.221027i | ||||
\(201\) | 5.23106 | + | 0.788455i | 0.368970 | + | 0.0556133i | ||||
\(202\) | 2.17951 | + | 2.73302i | 0.153350 | + | 0.192295i | ||||
\(203\) | −1.75477 | − | 4.43187i | −0.123160 | − | 0.311056i | ||||
\(204\) | 6.30661 | − | 7.90824i | 0.441551 | − | 0.553687i | ||||
\(205\) | −14.3382 | + | 13.3039i | −1.00142 | + | 0.929186i | ||||
\(206\) | 19.7799 | − | 2.98135i | 1.37813 | − | 0.207720i | ||||
\(207\) | −0.121823 | − | 0.113036i | −0.00846732 | − | 0.00785652i | ||||
\(208\) | 25.1782 | + | 17.1662i | 1.74579 | + | 1.19026i | ||||
\(209\) | 2.27229 | − | 9.95557i | 0.157178 | − | 0.688642i | ||||
\(210\) | 19.0449 | − | 9.24213i | 1.31422 | − | 0.637767i | ||||
\(211\) | 2.96277 | + | 12.9808i | 0.203966 | + | 0.893632i | 0.968493 | + | 0.249041i | \(0.0801154\pi\) |
−0.764527 | + | 0.644591i | \(0.777028\pi\) | |||||||
\(212\) | 12.8902 | − | 32.8437i | 0.885303 | − | 2.25571i | ||||
\(213\) | −0.738045 | + | 9.84853i | −0.0505700 | + | 0.674810i | ||||
\(214\) | 2.11340 | − | 3.66051i | 0.144469 | − | 0.250227i | ||||
\(215\) | 2.64946 | + | 4.58900i | 0.180692 | + | 0.312967i | ||||
\(216\) | 38.2956 | − | 18.4422i | 2.60568 | − | 1.25483i | ||||
\(217\) | 11.2945 | + | 7.65084i | 0.766719 | + | 0.519373i | ||||
\(218\) | 24.0887 | + | 11.6005i | 1.63150 | + | 0.785687i | ||||
\(219\) | 0.0195215 | + | 0.260497i | 0.00131914 | + | 0.0176027i | ||||
\(220\) | −17.9738 | − | 5.54417i | −1.21179 | − | 0.373788i | ||||
\(221\) | −4.08348 | − | 1.25959i | −0.274685 | − | 0.0847291i | ||||
\(222\) | 2.18468 | + | 29.1525i | 0.146626 | + | 1.95659i | ||||
\(223\) | −14.7151 | − | 7.08644i | −0.985399 | − | 0.474543i | −0.129440 | − | 0.991587i | \(-0.541318\pi\) |
−0.855959 | + | 0.517044i | \(0.827032\pi\) | |||||||
\(224\) | 29.2582 | + | 4.32010i | 1.95490 | + | 0.288649i | ||||
\(225\) | −0.541241 | + | 0.260648i | −0.0360828 | + | 0.0173765i | ||||
\(226\) | 9.24684 | + | 16.0160i | 0.615090 | + | 1.06537i | ||||
\(227\) | 7.36693 | − | 12.7599i | 0.488960 | − | 0.846904i | −0.510959 | − | 0.859605i | \(-0.670710\pi\) |
0.999919 | + | 0.0127013i | \(0.00404304\pi\) | |||||||
\(228\) | 2.94185 | − | 39.2563i | 0.194829 | − | 2.59981i | ||||
\(229\) | 2.42402 | − | 6.17631i | 0.160184 | − | 0.408142i | −0.828138 | − | 0.560525i | \(-0.810599\pi\) |
0.988322 | + | 0.152383i | \(0.0486947\pi\) | |||||||
\(230\) | 0.245362 | + | 1.07500i | 0.0161787 | + | 0.0708836i | ||||
\(231\) | 6.59249 | + | 3.15041i | 0.433754 | + | 0.207282i | ||||
\(232\) | −3.02160 | + | 13.2385i | −0.198378 | + | 0.869149i | ||||
\(233\) | −2.06376 | − | 1.40705i | −0.135202 | − | 0.0921788i | 0.493831 | − | 0.869558i | \(-0.335596\pi\) |
−0.629032 | + | 0.777379i | \(0.716549\pi\) | |||||||
\(234\) | −4.77319 | − | 4.42888i | −0.312034 | − | 0.289525i | ||||
\(235\) | 3.39441 | − | 0.511625i | 0.221427 | − | 0.0333747i | ||||
\(236\) | 29.8306 | − | 27.6788i | 1.94181 | − | 1.80173i | ||||
\(237\) | −14.4217 | + | 18.0842i | −0.936791 | + | 1.17470i | ||||
\(238\) | −9.62708 | + | 1.48065i | −0.624031 | + | 0.0959760i | ||||
\(239\) | 8.40358 | + | 10.5378i | 0.543583 | + | 0.681631i | 0.975428 | − | 0.220316i | \(-0.0707090\pi\) |
−0.431846 | + | 0.901947i | \(0.642138\pi\) | |||||||
\(240\) | −30.2132 | − | 4.55391i | −1.95026 | − | 0.293954i | ||||
\(241\) | −20.0165 | + | 13.6470i | −1.28938 | + | 0.879082i | −0.997014 | − | 0.0772251i | \(-0.975394\pi\) |
−0.292363 | + | 0.956307i | \(0.594442\pi\) | |||||||
\(242\) | 7.19196 | + | 18.3248i | 0.462317 | + | 1.17796i | ||||
\(243\) | −7.85419 | + | 2.42270i | −0.503847 | + | 0.155416i | ||||
\(244\) | −32.1938 | −2.06100 | ||||||||
\(245\) | −13.8375 | − | 4.17739i | −0.884043 | − | 0.266884i | ||||
\(246\) | −36.7041 | −2.34017 | ||||||||
\(247\) | −15.8924 | + | 4.90216i | −1.01121 | + | 0.311917i | ||||
\(248\) | −14.1980 | − | 36.1759i | −0.901575 | − | 2.29717i | ||||
\(249\) | 11.7679 | − | 8.02324i | 0.745762 | − | 0.508452i | ||||
\(250\) | 30.7092 | + | 4.62867i | 1.94222 | + | 0.292743i | ||||
\(251\) | 5.00516 | + | 6.27627i | 0.315923 | + | 0.396155i | 0.914285 | − | 0.405071i | \(-0.132753\pi\) |
−0.598362 | + | 0.801226i | \(0.704182\pi\) | |||||||
\(252\) | −10.0655 | − | 3.07170i | −0.634066 | − | 0.193499i | ||||
\(253\) | −0.237291 | + | 0.297553i | −0.0149183 | + | 0.0187070i | ||||
\(254\) | 0.139298 | − | 0.129250i | 0.00874034 | − | 0.00810985i | ||||
\(255\) | 4.23688 | − | 0.638607i | 0.265324 | − | 0.0399911i | ||||
\(256\) | 9.79536 | + | 9.08877i | 0.612210 | + | 0.568048i | ||||
\(257\) | 14.6378 | + | 9.97992i | 0.913084 | + | 0.622530i | 0.926056 | − | 0.377386i | \(-0.123177\pi\) |
−0.0129722 | + | 0.999916i | \(0.504129\pi\) | |||||||
\(258\) | −2.21265 | + | 9.69426i | −0.137754 | + | 0.603538i | ||||
\(259\) | 12.3987 | − | 15.6437i | 0.770419 | − | 0.972052i | ||||
\(260\) | 6.81677 | + | 29.8662i | 0.422758 | + | 1.85222i | ||||
\(261\) | 0.537083 | − | 1.36846i | 0.0332446 | − | 0.0847058i | ||||
\(262\) | 3.64678 | − | 48.6629i | 0.225299 | − | 3.00640i | ||||
\(263\) | 9.69503 | − | 16.7923i | 0.597821 | − | 1.03546i | −0.395321 | − | 0.918543i | \(-0.629367\pi\) |
0.993142 | − | 0.116913i | \(-0.0373000\pi\) | |||||||
\(264\) | −10.4073 | − | 18.0260i | −0.640526 | − | 1.10942i | ||||
\(265\) | 13.4657 | − | 6.48473i | 0.827191 | − | 0.398354i | ||||
\(266\) | −27.7109 | + | 25.8673i | −1.69906 | + | 1.58603i | ||||
\(267\) | −1.65479 | − | 0.796905i | −0.101272 | − | 0.0487698i | ||||
\(268\) | 1.30399 | + | 17.4006i | 0.0796541 | + | 1.06291i | ||||
\(269\) | −27.3429 | − | 8.43417i | −1.66713 | − | 0.514241i | −0.689446 | − | 0.724337i | \(-0.742146\pi\) |
−0.977681 | + | 0.210096i | \(0.932622\pi\) | |||||||
\(270\) | 29.1756 | + | 8.99950i | 1.77557 | + | 0.547692i | ||||
\(271\) | −2.00695 | − | 26.7808i | −0.121913 | − | 1.62682i | −0.637827 | − | 0.770179i | \(-0.720167\pi\) |
0.515914 | − | 0.856640i | \(-0.327452\pi\) | |||||||
\(272\) | 12.6665 | + | 6.09987i | 0.768020 | + | 0.369859i | ||||
\(273\) | −0.924938 | − | 11.8640i | −0.0559798 | − | 0.718040i | ||||
\(274\) | 18.8194 | − | 9.06293i | 1.13692 | − | 0.547512i | ||||
\(275\) | 0.687871 | + | 1.19143i | 0.0414802 | + | 0.0718457i | ||||
\(276\) | −0.733590 | + | 1.27062i | −0.0441569 | + | 0.0764821i | ||||
\(277\) | 0.817360 | − | 10.9069i | 0.0491104 | − | 0.655333i | −0.917278 | − | 0.398247i | \(-0.869619\pi\) |
0.966389 | − | 0.257086i | \(-0.0827623\pi\) | |||||||
\(278\) | −18.1451 | + | 46.2329i | −1.08827 | + | 2.77286i | ||||
\(279\) | 0.936218 | + | 4.10184i | 0.0560499 | + | 0.245571i | ||||
\(280\) | 25.7699 | + | 32.1159i | 1.54004 | + | 1.91929i | ||||
\(281\) | 5.11979 | − | 22.4313i | 0.305421 | − | 1.33814i | −0.556396 | − | 0.830917i | \(-0.687816\pi\) |
0.861817 | − | 0.507219i | \(-0.169327\pi\) | |||||||
\(282\) | 5.32233 | + | 3.62871i | 0.316940 | + | 0.216086i | ||||
\(283\) | 0.959396 | + | 0.890190i | 0.0570302 | + | 0.0529163i | 0.708173 | − | 0.706039i | \(-0.249520\pi\) |
−0.651143 | + | 0.758955i | \(0.725710\pi\) | |||||||
\(284\) | −32.2123 | + | 4.85523i | −1.91145 | + | 0.288105i | ||||
\(285\) | 12.2241 | − | 11.3423i | 0.724095 | − | 0.671862i | ||||
\(286\) | −9.29735 | + | 11.6585i | −0.549764 | + | 0.689382i | ||||
\(287\) | 18.4227 | + | 16.9910i | 1.08746 | + | 1.00295i | ||||
\(288\) | 5.68713 | + | 7.13144i | 0.335117 | + | 0.420224i | ||||
\(289\) | 14.8606 | + | 2.23988i | 0.874156 | + | 0.131758i | ||||
\(290\) | −8.05915 | + | 5.49464i | −0.473250 | + | 0.322656i | ||||
\(291\) | −7.51071 | − | 19.1370i | −0.440285 | − | 1.12183i | ||||
\(292\) | −0.823369 | + | 0.253976i | −0.0481840 | + | 0.0148628i | ||||
\(293\) | 4.00258 | 0.233833 | 0.116917 | − | 0.993142i | \(-0.462699\pi\) | ||||
0.116917 | + | 0.993142i | \(0.462699\pi\) | |||||||
\(294\) | −13.7028 | − | 23.4080i | −0.799164 | − | 1.36518i | ||||
\(295\) | 17.2379 | 1.00363 | ||||||||
\(296\) | −54.3385 | + | 16.7612i | −3.15836 | + | 0.974225i | ||||
\(297\) | 3.85008 | + | 9.80984i | 0.223404 | + | 0.569225i | ||||
\(298\) | −51.2018 | + | 34.9088i | −2.96604 | + | 2.02221i | ||||
\(299\) | 0.612923 | + | 0.0923833i | 0.0354463 | + | 0.00534266i | ||||
\(300\) | 3.30672 | + | 4.14650i | 0.190914 | + | 0.239398i | ||||
\(301\) | 5.59824 | − | 3.84151i | 0.322677 | − | 0.221421i | ||||
\(302\) | 14.5316 | − | 18.2220i | 0.836198 | − | 1.04856i | ||||
\(303\) | −1.44434 | + | 1.34015i | −0.0829750 | + | 0.0769896i | ||||
\(304\) | 54.1039 | − | 8.15485i | 3.10307 | − | 0.467713i | ||||
\(305\) | −9.99688 | − | 9.27575i | −0.572420 | − | 0.531128i | ||||
\(306\) | −2.48204 | − | 1.69223i | −0.141889 | − | 0.0967382i | ||||
\(307\) | 3.97135 | − | 17.3996i | 0.226657 | − | 0.993049i | −0.725687 | − | 0.688025i | \(-0.758478\pi\) |
0.952344 | − | 0.305025i | \(-0.0986647\pi\) | |||||||
\(308\) | −5.29224 | + | 23.5123i | −0.301554 | + | 1.33974i | ||||
\(309\) | 2.50887 | + | 10.9921i | 0.142724 | + | 0.625317i | ||||
\(310\) | 10.1987 | − | 25.9859i | 0.579248 | − | 1.47590i | ||||
\(311\) | 0.426099 | − | 5.68590i | 0.0241619 | − | 0.322418i | −0.972006 | − | 0.234956i | \(-0.924505\pi\) |
0.996168 | − | 0.0874617i | \(-0.0278756\pi\) | |||||||
\(312\) | −16.9501 | + | 29.3584i | −0.959608 | + | 1.66209i | ||||
\(313\) | 10.7377 | + | 18.5983i | 0.606933 | + | 1.05124i | 0.991743 | + | 0.128242i | \(0.0409335\pi\) |
−0.384810 | + | 0.922996i | \(0.625733\pi\) | |||||||
\(314\) | −3.73734 | + | 1.79981i | −0.210910 | + | 0.101569i | ||||
\(315\) | −2.24053 | − | 3.85392i | −0.126240 | − | 0.217144i | ||||
\(316\) | −68.7400 | − | 33.1034i | −3.86693 | − | 1.86221i | ||||
\(317\) | 0.462158 | + | 6.16707i | 0.0259574 | + | 0.346377i | 0.995028 | + | 0.0995942i | \(0.0317545\pi\) |
−0.969071 | + | 0.246783i | \(0.920627\pi\) | |||||||
\(318\) | 26.8001 | + | 8.26674i | 1.50288 | + | 0.463576i | ||||
\(319\) | −3.21708 | − | 0.992338i | −0.180122 | − | 0.0555603i | ||||
\(320\) | −1.43263 | − | 19.1171i | −0.0800862 | − | 1.06868i | ||||
\(321\) | 2.14647 | + | 1.03369i | 0.119804 | + | 0.0576947i | ||||
\(322\) | 1.34880 | − | 0.420492i | 0.0751657 | − | 0.0234331i | ||||
\(323\) | −6.91298 | + | 3.32911i | −0.384648 | + | 0.185237i | ||||
\(324\) | 14.3465 | + | 24.8489i | 0.797030 | + | 1.38050i | ||||
\(325\) | 1.12031 | − | 1.94044i | 0.0621437 | − | 0.107636i | ||||
\(326\) | 3.07425 | − | 41.0230i | 0.170267 | − | 2.27205i | ||||
\(327\) | −5.50562 | + | 14.0281i | −0.304462 | + | 0.775756i | ||||
\(328\) | −15.8868 | − | 69.6048i | −0.877204 | − | 3.84328i | ||||
\(329\) | −0.991613 | − | 4.28515i | −0.0546694 | − | 0.236248i | ||||
\(330\) | 3.32704 | − | 14.5767i | 0.183147 | − | 0.802421i | ||||
\(331\) | −0.972462 | − | 0.663014i | −0.0534514 | − | 0.0364425i | 0.536300 | − | 0.844028i | \(-0.319822\pi\) |
−0.589751 | + | 0.807585i | \(0.700774\pi\) | |||||||
\(332\) | 34.4383 | + | 31.9541i | 1.89005 | + | 1.75371i | ||||
\(333\) | 6.08755 | − | 0.917551i | 0.333596 | − | 0.0502815i | ||||
\(334\) | 12.8099 | − | 11.8859i | 0.700928 | − | 0.650366i | ||||
\(335\) | −4.60858 | + | 5.77897i | −0.251793 | + | 0.315739i | ||||
\(336\) | −2.80833 | + | 39.0487i | −0.153207 | + | 2.13028i | ||||
\(337\) | −3.39407 | − | 4.25603i | −0.184887 | − | 0.231841i | 0.680747 | − | 0.732519i | \(-0.261655\pi\) |
−0.865634 | + | 0.500678i | \(0.833084\pi\) | |||||||
\(338\) | −9.68954 | − | 1.46046i | −0.527041 | − | 0.0794387i | ||||
\(339\) | −8.61256 | + | 5.87195i | −0.467770 | + | 0.318920i | ||||
\(340\) | 5.16339 | + | 13.1561i | 0.280024 | + | 0.713490i | ||||
\(341\) | 9.20715 | − | 2.84003i | 0.498595 | − | 0.153796i | ||||
\(342\) | −11.6913 | −0.632193 | ||||||||
\(343\) | −3.95822 | + | 18.0923i | −0.213724 | + | 0.976894i | ||||
\(344\) | −19.3417 | −1.04283 | ||||||||
\(345\) | −0.593888 | + | 0.183190i | −0.0319739 | + | 0.00986263i | ||||
\(346\) | 20.1947 | + | 51.4553i | 1.08568 | + | 2.76626i | ||||
\(347\) | −3.06046 | + | 2.08658i | −0.164294 | + | 0.112014i | −0.642676 | − | 0.766138i | \(-0.722176\pi\) |
0.478382 | + | 0.878152i | \(0.341223\pi\) | |||||||
\(348\) | −12.8337 | − | 1.93437i | −0.687959 | − | 0.103693i | ||||
\(349\) | 15.1210 | + | 18.9611i | 0.809406 | + | 1.01496i | 0.999449 | + | 0.0331876i | \(0.0105659\pi\) |
−0.190043 | + | 0.981776i | \(0.560863\pi\) | |||||||
\(350\) | 0.366349 | − | 5.09393i | 0.0195822 | − | 0.272282i | ||||
\(351\) | 10.7012 | − | 13.4189i | 0.571188 | − | 0.716247i | ||||
\(352\) | 15.3128 | − | 14.2082i | 0.816174 | − | 0.757299i | ||||
\(353\) | −29.6433 | + | 4.46801i | −1.57775 | + | 0.237808i | −0.878741 | − | 0.477299i | \(-0.841616\pi\) |
−0.699014 | + | 0.715108i | \(0.746378\pi\) | |||||||
\(354\) | 23.7123 | + | 22.0018i | 1.26030 | + | 1.16938i | ||||
\(355\) | −11.4015 | − | 7.77343i | −0.605130 | − | 0.412571i | ||||
\(356\) | 1.34808 | − | 5.90634i | 0.0714483 | − | 0.313035i | ||||
\(357\) | −1.23772 | − | 5.34869i | −0.0655073 | − | 0.283083i | ||||
\(358\) | −11.6883 | − | 51.2097i | −0.617745 | − | 2.70652i | ||||
\(359\) | 3.58266 | − | 9.12846i | 0.189085 | − | 0.481782i | −0.804622 | − | 0.593787i | \(-0.797632\pi\) |
0.993708 | + | 0.112005i | \(0.0357274\pi\) | |||||||
\(360\) | −0.949028 | + | 12.6639i | −0.0500182 | + | 0.667446i | ||||
\(361\) | −5.43084 | + | 9.40650i | −0.285834 | + | 0.495079i | ||||
\(362\) | −9.84934 | − | 17.0596i | −0.517670 | − | 0.896630i | ||||
\(363\) | −9.99683 | + | 4.81422i | −0.524698 | + | 0.252681i | ||||
\(364\) | 37.4729 | − | 11.6823i | 1.96412 | − | 0.612318i | ||||
\(365\) | −0.328850 | − | 0.158366i | −0.0172128 | − | 0.00828925i | ||||
\(366\) | −1.91240 | − | 25.5193i | −0.0999629 | − | 1.33391i | ||||
\(367\) | −15.4383 | − | 4.76209i | −0.805874 | − | 0.248579i | −0.135668 | − | 0.990754i | \(-0.543318\pi\) |
−0.670206 | + | 0.742175i | \(0.733794\pi\) | |||||||
\(368\) | −1.94862 | − | 0.601071i | −0.101579 | − | 0.0313330i | ||||
\(369\) | 0.577616 | + | 7.70775i | 0.0300695 | + | 0.401249i | ||||
\(370\) | −36.8020 | − | 17.7229i | −1.91325 | − | 0.921371i | ||||
\(371\) | −9.62481 | − | 16.5556i | −0.499695 | − | 0.859523i | ||||
\(372\) | 33.4659 | − | 16.1163i | 1.73513 | − | 0.835594i | ||||
\(373\) | 9.46448 | + | 16.3930i | 0.490052 | + | 0.848795i | 0.999934 | − | 0.0114488i | \(-0.00364435\pi\) |
−0.509882 | + | 0.860244i | \(0.670311\pi\) | |||||||
\(374\) | −3.43977 | + | 5.95785i | −0.177866 | + | 0.308073i | ||||
\(375\) | −1.30812 | + | 17.4556i | −0.0675508 | + | 0.901403i | ||||
\(376\) | −4.57770 | + | 11.6638i | −0.236077 | + | 0.601514i | ||||
\(377\) | 1.22012 | + | 5.34568i | 0.0628392 | + | 0.275317i | ||||
\(378\) | 8.59056 | − | 38.1659i | 0.441851 | − | 1.96304i | ||||
\(379\) | −4.39197 | + | 19.2425i | −0.225600 | + | 0.988420i | 0.727581 | + | 0.686021i | \(0.240644\pi\) |
−0.953182 | + | 0.302398i | \(0.902213\pi\) | |||||||
\(380\) | 45.4466 | + | 30.9850i | 2.33136 | + | 1.58949i | ||||
\(381\) | 0.0785143 | + | 0.0728506i | 0.00402241 | + | 0.00373225i | ||||
\(382\) | −12.0608 | + | 1.81787i | −0.617082 | + | 0.0930102i | ||||
\(383\) | 7.58783 | − | 7.04048i | 0.387720 | − | 0.359752i | −0.462097 | − | 0.886829i | \(-0.652903\pi\) |
0.849817 | + | 0.527078i | \(0.176712\pi\) | |||||||
\(384\) | 1.82943 | − | 2.29403i | 0.0933575 | − | 0.117067i | ||||
\(385\) | −8.41776 | + | 5.77626i | −0.429009 | + | 0.294385i | ||||
\(386\) | 35.8808 | + | 44.9931i | 1.82629 | + | 2.29009i | ||||
\(387\) | 2.07058 | + | 0.312090i | 0.105254 | + | 0.0158644i | ||||
\(388\) | 56.0274 | − | 38.1988i | 2.84436 | − | 1.93925i | ||||
\(389\) | 6.88950 | + | 17.5542i | 0.349312 | + | 0.890032i | 0.992266 | + | 0.124127i | \(0.0396132\pi\) |
−0.642955 | + | 0.765904i | \(0.722292\pi\) | |||||||
\(390\) | −23.2693 | + | 7.17762i | −1.17829 | + | 0.363453i | ||||
\(391\) | 0.285965 | 0.0144619 | ||||||||
\(392\) | 38.4592 | − | 36.1175i | 1.94249 | − | 1.82421i | ||||
\(393\) | 27.5054 | 1.38746 | ||||||||
\(394\) | 36.2704 | − | 11.1879i | 1.82728 | − | 0.563641i | ||||
\(395\) | −11.8074 | − | 30.0849i | −0.594097 | − | 1.51373i | ||||
\(396\) | −6.14135 | + | 4.18710i | −0.308614 | + | 0.210410i | ||||
\(397\) | 0.334401 | + | 0.0504029i | 0.0167831 | + | 0.00252965i | 0.157428 | − | 0.987530i | \(-0.449680\pi\) |
−0.140645 | + | 0.990060i | \(0.544918\pi\) | |||||||
\(398\) | 10.5276 | + | 13.2011i | 0.527699 | + | 0.661713i | ||||
\(399\) | −15.7064 | − | 14.4858i | −0.786302 | − | 0.725198i | ||||
\(400\) | −4.59599 | + | 5.76319i | −0.229799 | + | 0.288159i | ||||
\(401\) | −17.0641 | + | 15.8332i | −0.852141 | + | 0.790671i | −0.979555 | − | 0.201179i | \(-0.935523\pi\) |
0.127414 | + | 0.991850i | \(0.459332\pi\) | |||||||
\(402\) | −13.7156 | + | 2.06729i | −0.684070 | + | 0.103107i | ||||
\(403\) | −11.5035 | − | 10.6737i | −0.573028 | − | 0.531693i | ||||
\(404\) | −5.36973 | − | 3.66102i | −0.267154 | − | 0.182142i | ||||
\(405\) | −2.70462 | + | 11.8497i | −0.134393 | + | 0.588816i | ||||
\(406\) | 7.82160 | + | 9.74774i | 0.388179 | + | 0.483772i | ||||
\(407\) | −3.13724 | − | 13.7451i | −0.155507 | − | 0.681321i | ||||
\(408\) | −5.71385 | + | 14.5586i | −0.282878 | + | 0.720760i | ||||
\(409\) | −1.01859 | + | 13.5921i | −0.0503660 | + | 0.672087i | 0.913694 | + | 0.406403i | \(0.133217\pi\) |
−0.964060 | + | 0.265684i | \(0.914402\pi\) | |||||||
\(410\) | 25.6422 | − | 44.4135i | 1.26638 | − | 2.19343i | ||||
\(411\) | 5.88666 | + | 10.1960i | 0.290368 | + | 0.502931i | ||||
\(412\) | −33.5065 | + | 16.1359i | −1.65075 | + | 0.794958i | ||||
\(413\) | −1.71673 | − | 22.0201i | −0.0844749 | − | 1.08354i | ||||
\(414\) | 0.392582 | + | 0.189057i | 0.0192943 | + | 0.00929167i | ||||
\(415\) | 1.48717 | + | 19.8449i | 0.0730022 | + | 0.974147i | ||||
\(416\) | −32.5099 | − | 10.0280i | −1.59393 | − | 0.491662i | ||||
\(417\) | −26.7502 | − | 8.25135i | −1.30996 | − | 0.404071i | ||||
\(418\) | 2.00085 | + | 26.6994i | 0.0978646 | + | 1.30591i | ||||
\(419\) | 7.73651 | + | 3.72571i | 0.377953 | + | 0.182013i | 0.613209 | − | 0.789921i | \(-0.289878\pi\) |
−0.235256 | + | 0.971934i | \(0.575593\pi\) | |||||||
\(420\) | −28.7697 | + | 26.8557i | −1.40382 | + | 1.31043i | ||||
\(421\) | 5.75293 | − | 2.77046i | 0.280381 | − | 0.135024i | −0.288409 | − | 0.957507i | \(-0.593126\pi\) |
0.568789 | + | 0.822483i | \(0.307412\pi\) | |||||||
\(422\) | −17.4551 | − | 30.2331i | −0.849700 | − | 1.47172i | ||||
\(423\) | 0.678259 | − | 1.17478i | 0.0329781 | − | 0.0571197i | ||||
\(424\) | −4.07681 | + | 54.4013i | −0.197987 | + | 2.64196i | ||||
\(425\) | 0.377656 | − | 0.962252i | 0.0183190 | − | 0.0466761i | ||||
\(426\) | −5.76212 | − | 25.2455i | −0.279176 | − | 1.22315i | ||||
\(427\) | −10.8535 | + | 13.6940i | −0.525236 | + | 0.662701i | ||||
\(428\) | −1.74863 | + | 7.66126i | −0.0845233 | + | 0.370321i | ||||
\(429\) | −6.94447 | − | 4.73466i | −0.335282 | − | 0.228592i | ||||
\(430\) | −10.1847 | − | 9.44999i | −0.491148 | − | 0.455719i | ||||
\(431\) | 38.2551 | − | 5.76603i | 1.84268 | − | 0.277740i | 0.867223 | − | 0.497919i | \(-0.165902\pi\) |
0.975459 | + | 0.220180i | \(0.0706643\pi\) | |||||||
\(432\) | −41.3922 | + | 38.4063i | −1.99148 | + | 1.84783i | ||||
\(433\) | 0.316460 | − | 0.396828i | 0.0152081 | − | 0.0190703i | −0.774169 | − | 0.632979i | \(-0.781832\pi\) |
0.789377 | + | 0.613908i | \(0.210404\pi\) | |||||||
\(434\) | −34.2107 | − | 10.4401i | −1.64217 | − | 0.501143i | ||||
\(435\) | −3.42781 | − | 4.29834i | −0.164351 | − | 0.206090i | ||||
\(436\) | −49.1522 | − | 7.40850i | −2.35396 | − | 0.354803i | ||||
\(437\) | 0.919555 | − | 0.626942i | 0.0439883 | − | 0.0299907i | ||||
\(438\) | −0.250231 | − | 0.637578i | −0.0119565 | − | 0.0304646i | ||||
\(439\) | −5.55861 | + | 1.71460i | −0.265298 | + | 0.0818335i | −0.424550 | − | 0.905404i | \(-0.639568\pi\) |
0.159252 | + | 0.987238i | \(0.449092\pi\) | |||||||
\(440\) | 29.0830 | 1.38648 | ||||||||
\(441\) | −4.69996 | + | 3.24592i | −0.223807 | + | 0.154568i | ||||
\(442\) | 11.2045 | 0.532942 | ||||||||
\(443\) | −6.23804 | + | 1.92418i | −0.296378 | + | 0.0914206i | −0.439378 | − | 0.898302i | \(-0.644801\pi\) |
0.143000 | + | 0.989723i | \(0.454325\pi\) | |||||||
\(444\) | −19.8567 | − | 50.5940i | −0.942356 | − | 2.40108i | ||||
\(445\) | 2.12036 | − | 1.44563i | 0.100515 | − | 0.0685297i | ||||
\(446\) | 42.3449 | + | 6.38247i | 2.00509 | + | 0.302218i | ||||
\(447\) | −21.7777 | − | 27.3084i | −1.03005 | − | 1.29164i | ||||
\(448\) | −24.2779 | + | 3.73395i | −1.14702 | + | 0.176412i | ||||
\(449\) | −10.3649 | + | 12.9972i | −0.489152 | + | 0.613377i | −0.963744 | − | 0.266829i | \(-0.914024\pi\) |
0.474592 | + | 0.880206i | \(0.342596\pi\) | |||||||
\(450\) | 1.15462 | − | 1.07133i | 0.0544295 | − | 0.0505032i | ||||
\(451\) | 17.5033 | − | 2.63821i | 0.824200 | − | 0.124228i | ||||
\(452\) | −25.2043 | − | 23.3861i | −1.18551 | − | 1.09999i | ||||
\(453\) | 10.8541 | + | 7.40017i | 0.509968 | + | 0.347691i | ||||
\(454\) | −8.59630 | + | 37.6628i | −0.403444 | + | 1.76760i | ||||
\(455\) | 15.0021 | + | 7.16918i | 0.703309 | + | 0.336096i | ||||
\(456\) | 13.5444 | + | 59.3420i | 0.634275 | + | 2.77894i | ||||
\(457\) | −14.7119 | + | 37.4853i | −0.688193 | + | 1.75349i | −0.0312913 | + | 0.999510i | \(0.509962\pi\) |
−0.656902 | + | 0.753976i | \(0.728133\pi\) | |||||||
\(458\) | −1.30004 | + | 17.3479i | −0.0607471 | + | 0.810613i | ||||
\(459\) | 3.95915 | − | 6.85746i | 0.184798 | − | 0.320079i | ||||
\(460\) | −1.02500 | − | 1.77535i | −0.0477908 | − | 0.0827762i | ||||
\(461\) | 4.28753 | − | 2.06477i | 0.199690 | − | 0.0961657i | −0.331366 | − | 0.943502i | \(-0.607510\pi\) |
0.531056 | + | 0.847337i | \(0.321795\pi\) | |||||||
\(462\) | −18.9520 | − | 2.79834i | −0.881726 | − | 0.130191i | ||||
\(463\) | 21.6387 | + | 10.4207i | 1.00564 | + | 0.484289i | 0.862848 | − | 0.505464i | \(-0.168679\pi\) |
0.142789 | + | 0.989753i | \(0.454393\pi\) | |||||||
\(464\) | −1.34805 | − | 17.9885i | −0.0625817 | − | 0.835095i | ||||
\(465\) | 15.0354 | + | 4.63780i | 0.697249 | + | 0.215073i | ||||
\(466\) | 6.25809 | + | 1.93037i | 0.289901 | + | 0.0894225i | ||||
\(467\) | −1.44844 | − | 19.3281i | −0.0670259 | − | 0.894398i | −0.924820 | − | 0.380405i | \(-0.875785\pi\) |
0.857794 | − | 0.513993i | \(-0.171834\pi\) | |||||||
\(468\) | 10.9069 | + | 5.25248i | 0.504171 | + | 0.242796i | ||||
\(469\) | 7.84117 | + | 5.31158i | 0.362071 | + | 0.245266i | ||||
\(470\) | −8.10917 | + | 3.90517i | −0.374048 | + | 0.180132i | ||||
\(471\) | −1.16903 | − | 2.02482i | −0.0538661 | − | 0.0932988i | ||||
\(472\) | −31.4602 | + | 54.4906i | −1.44807 | + | 2.50813i | ||||
\(473\) | 0.358362 | − | 4.78201i | 0.0164775 | − | 0.219877i | ||||
\(474\) | 22.1570 | − | 56.4550i | 1.01770 | − | 2.59306i | ||||
\(475\) | −0.895217 | − | 3.92220i | −0.0410754 | − | 0.179963i | ||||
\(476\) | 16.2917 | − | 7.90606i | 0.746729 | − | 0.362374i | ||||
\(477\) | 1.31423 | − | 5.75804i | 0.0601747 | − | 0.263642i | ||||
\(478\) | −29.1988 | − | 19.9074i | −1.33552 | − | 0.910544i | ||||
\(479\) | 1.65200 | + | 1.53283i | 0.0754817 | + | 0.0700368i | 0.717012 | − | 0.697061i | \(-0.245509\pi\) |
−0.641530 | + | 0.767098i | \(0.721700\pi\) | |||||||
\(480\) | 33.7311 | − | 5.08415i | 1.53961 | − | 0.232059i | ||||
\(481\) | −16.8323 | + | 15.6181i | −0.767487 | + | 0.712124i | ||||
\(482\) | 39.6038 | − | 49.6615i | 1.80390 | − | 2.26202i | ||||
\(483\) | 0.293157 | + | 0.740403i | 0.0133391 | + | 0.0336895i | ||||
\(484\) | −22.8189 | − | 28.6140i | −1.03722 | − | 1.30064i | ||||
\(485\) | 28.4037 | + | 4.28116i | 1.28974 | + | 0.194398i | ||||
\(486\) | 17.8060 | − | 12.1400i | 0.807699 | − | 0.550680i | ||||
\(487\) | −1.83221 | − | 4.66839i | −0.0830253 | − | 0.211545i | 0.883332 | − | 0.468747i | \(-0.155295\pi\) |
−0.966358 | + | 0.257202i | \(0.917199\pi\) | |||||||
\(488\) | 47.5663 | − | 14.6723i | 2.15323 | − | 0.664183i | ||||
\(489\) | 23.1871 | 1.04856 | ||||||||
\(490\) | 37.8977 | − | 0.227745i | 1.71204 | − | 0.0102885i | ||||
\(491\) | −3.79212 | −0.171136 | −0.0855680 | − | 0.996332i | \(-0.527270\pi\) | ||||
−0.0855680 | + | 0.996332i | \(0.527270\pi\) | |||||||
\(492\) | 65.2071 | − | 20.1137i | 2.93976 | − | 0.906796i | ||||
\(493\) | 0.924183 | + | 2.35478i | 0.0416231 | + | 0.106054i | ||||
\(494\) | 36.0293 | − | 24.5644i | 1.62104 | − | 1.10520i | ||||
\(495\) | −3.11342 | − | 0.469273i | −0.139938 | − | 0.0210922i | ||||
\(496\) | 32.1887 | + | 40.3634i | 1.44532 | + | 1.81237i | ||||
\(497\) | −8.79448 | + | 15.3387i | −0.394487 | + | 0.688037i | ||||
\(498\) | −23.2835 | + | 29.1966i | −1.04336 | + | 1.30833i | ||||
\(499\) | 20.0801 | − | 18.6316i | 0.898907 | − | 0.834064i | −0.0878725 | − | 0.996132i | \(-0.528007\pi\) |
0.986780 | + | 0.162068i | \(0.0518163\pi\) | |||||||
\(500\) | −57.0933 | + | 8.60543i | −2.55329 | + | 0.384847i | ||||
\(501\) | 7.22022 | + | 6.69939i | 0.322576 | + | 0.299307i | ||||
\(502\) | −17.3908 | − | 11.8568i | −0.776188 | − | 0.529196i | ||||
\(503\) | −2.00879 | + | 8.80109i | −0.0895676 | + | 0.392421i | −0.999763 | − | 0.0217571i | \(-0.993074\pi\) |
0.910196 | + | 0.414179i | \(0.135931\pi\) | |||||||
\(504\) | 16.2717 | − | 0.0488917i | 0.724798 | − | 0.00217781i | ||||
\(505\) | −0.612597 | − | 2.68396i | −0.0272602 | − | 0.119435i | ||||
\(506\) | 0.364564 | − | 0.928895i | 0.0162069 | − | 0.0412944i | ||||
\(507\) | 0.412744 | − | 5.50768i | 0.0183306 | − | 0.244605i | ||||
\(508\) | −0.176643 | + | 0.305955i | −0.00783727 | + | 0.0135745i | ||||
\(509\) | −12.0418 | − | 20.8569i | −0.533741 | − | 0.924467i | −0.999223 | − | 0.0394096i | \(-0.987452\pi\) |
0.465482 | − | 0.885057i | \(-0.345881\pi\) | |||||||
\(510\) | −10.1218 | + | 4.87441i | −0.448201 | + | 0.215842i | ||||
\(511\) | −0.169550 | + | 0.435853i | −0.00750045 | + | 0.0192810i | ||||
\(512\) | −35.1437 | − | 16.9243i | −1.55315 | − | 0.747955i | ||||
\(513\) | −2.30296 | − | 30.7309i | −0.101678 | − | 1.35680i | ||||
\(514\) | −44.3874 | − | 13.6917i | −1.95784 | − | 0.603915i | ||||
\(515\) | −15.0536 | − | 4.64342i | −0.663341 | − | 0.204614i | ||||
\(516\) | −1.38151 | − | 18.4350i | −0.0608175 | − | 0.811554i | ||||
\(517\) | −2.79892 | − | 1.34789i | −0.123096 | − | 0.0592801i | ||||
\(518\) | −18.9746 | + | 48.7768i | −0.833694 | + | 2.14313i | ||||
\(519\) | −28.0707 | + | 13.5181i | −1.23217 | + | 0.593380i | ||||
\(520\) | −23.6833 | − | 41.0206i | −1.03858 | − | 1.79887i | ||||
\(521\) | 9.12162 | − | 15.7991i | 0.399626 | − | 0.692172i | −0.594054 | − | 0.804425i | \(-0.702473\pi\) |
0.993680 | + | 0.112253i | \(0.0358068\pi\) | |||||||
\(522\) | −0.288046 | + | 3.84371i | −0.0126075 | + | 0.168235i | ||||
\(523\) | 1.49748 | − | 3.81551i | 0.0654801 | − | 0.166841i | −0.894388 | − | 0.447291i | \(-0.852389\pi\) |
0.959868 | + | 0.280451i | \(0.0904839\pi\) | |||||||
\(524\) | 20.1884 | + | 88.4510i | 0.881933 | + | 3.86400i | ||||
\(525\) | 2.87856 | − | 0.00864924i | 0.125631 | − | 0.000377484i | ||||
\(526\) | −11.3129 | + | 49.5651i | −0.493266 | + | 2.16114i | ||||
\(527\) | −5.98175 | − | 4.07829i | −0.260569 | − | 0.177653i | ||||
\(528\) | 20.2698 | + | 18.8076i | 0.882128 | + | 0.818495i | ||||
\(529\) | 22.7021 | − | 3.42179i | 0.987048 | − | 0.148773i | ||||
\(530\) | −28.7262 | + | 26.6540i | −1.24779 | + | 1.15778i | ||||
\(531\) | 4.24715 | − | 5.32576i | 0.184311 | − | 0.231118i | ||||
\(532\) | 35.0549 | − | 61.1404i | 1.51982 | − | 2.65077i | ||||
\(533\) | −17.9747 | − | 22.5395i | −0.778569 | − | 0.976295i | ||||
\(534\) | 4.76189 | + | 0.717740i | 0.206067 | + | 0.0310596i | ||||
\(535\) | −2.75037 | + | 1.87517i | −0.118909 | + | 0.0810706i | ||||
\(536\) | −9.85694 | − | 25.1151i | −0.425755 | − | 1.08481i | ||||
\(537\) | 28.2909 | − | 8.72660i | 1.22084 | − | 0.376580i | ||||
\(538\) | 75.0249 | 3.23455 | ||||||||
\(539\) | 8.21706 | + | 10.1778i | 0.353934 | + | 0.438389i | ||||
\(540\) | −56.7640 | −2.44273 | ||||||||
\(541\) | 15.9875 | − | 4.93151i | 0.687358 | − | 0.212022i | 0.0686478 | − | 0.997641i | \(-0.478132\pi\) |
0.618711 | + | 0.785619i | \(0.287655\pi\) | |||||||
\(542\) | 25.7254 | + | 65.5474i | 1.10500 | + | 2.81550i | ||||
\(543\) | 9.17374 | − | 6.25455i | 0.393683 | − | 0.268408i | ||||
\(544\) | −15.5204 | − | 2.33932i | −0.665431 | − | 0.100298i | ||||
\(545\) | −13.1283 | − | 16.4623i | −0.562353 | − | 0.705169i | ||||
\(546\) | 11.4863 | + | 29.0099i | 0.491567 | + | 1.24151i | ||||
\(547\) | 0.569364 | − | 0.713960i | 0.0243443 | − | 0.0305267i | −0.769510 | − | 0.638634i | \(-0.779500\pi\) |
0.793855 | + | 0.608108i | \(0.208071\pi\) | |||||||
\(548\) | −28.4673 | + | 26.4138i | −1.21606 | + | 1.12834i | ||||
\(549\) | −5.32887 | + | 0.803198i | −0.227431 | + | 0.0342796i | ||||
\(550\) | −2.64421 | − | 2.45347i | −0.112749 | − | 0.104616i | ||||
\(551\) | 8.13438 | + | 5.54592i | 0.346536 | + | 0.236264i | ||||
\(552\) | 0.504799 | − | 2.21167i | 0.0214857 | − | 0.0941348i | ||||
\(553\) | −37.2552 | + | 18.0793i | −1.58425 | + | 0.768809i | ||||
\(554\) | 6.38136 | + | 27.9586i | 0.271118 | + | 1.18785i | ||||
\(555\) | 8.41132 | − | 21.4317i | 0.357041 | − | 0.909725i | ||||
\(556\) | 6.90036 | − | 92.0789i | 0.292640 | − | 3.90502i | ||||
\(557\) | −22.5492 | + | 39.0564i | −0.955442 | + | 1.65487i | −0.222089 | + | 0.975026i | \(0.571288\pi\) |
−0.733353 | + | 0.679848i | \(0.762046\pi\) | |||||||
\(558\) | −5.51570 | − | 9.55346i | −0.233498 | − | 0.404430i | ||||
\(559\) | −7.03669 | + | 3.38869i | −0.297620 | + | 0.143326i | ||||
\(560\) | −45.2886 | − | 30.6783i | −1.91379 | − | 1.29640i | ||||
\(561\) | −3.49359 | − | 1.68243i | −0.147500 | − | 0.0710321i | ||||
\(562\) | 4.50818 | + | 60.1574i | 0.190166 | + | 2.53759i | ||||
\(563\) | 30.1839 | + | 9.31050i | 1.27210 | + | 0.392391i | 0.856022 | − | 0.516939i | \(-0.172928\pi\) |
0.416077 | + | 0.909329i | \(0.363405\pi\) | |||||||
\(564\) | −11.4440 | − | 3.53000i | −0.481878 | − | 0.148640i | ||||
\(565\) | −1.08841 | − | 14.5238i | −0.0457898 | − | 0.611022i | ||||
\(566\) | −3.09170 | − | 1.48888i | −0.129954 | − | 0.0625825i | ||||
\(567\) | 15.4064 | + | 2.27483i | 0.647010 | + | 0.0955337i | ||||
\(568\) | 45.3809 | − | 21.8543i | 1.90414 | − | 0.916986i | ||||
\(569\) | −8.43410 | − | 14.6083i | −0.353576 | − | 0.612412i | 0.633297 | − | 0.773909i | \(-0.281701\pi\) |
−0.986873 | + | 0.161497i | \(0.948368\pi\) | |||||||
\(570\) | −21.8614 | + | 37.8650i | −0.915672 | + | 1.58599i | ||||
\(571\) | 0.703121 | − | 9.38249i | 0.0294247 | − | 0.392645i | −0.962975 | − | 0.269590i | \(-0.913112\pi\) |
0.992400 | − | 0.123055i | \(-0.0392692\pi\) | |||||||
\(572\) | 10.1285 | − | 25.8070i | 0.423493 | − | 1.07904i | ||||
\(573\) | −1.52977 | − | 6.70238i | −0.0639072 | − | 0.279996i | ||||
\(574\) | −59.2886 | − | 28.3328i | −2.47466 | − | 1.18259i | ||||
\(575\) | −0.0333646 | + | 0.146180i | −0.00139140 | + | 0.00609612i | ||||
\(576\) | −6.25930 | − | 4.26752i | −0.260804 | − | 0.177813i | ||||
\(577\) | 8.39507 | + | 7.78949i | 0.349491 | + | 0.324281i | 0.835310 | − | 0.549779i | \(-0.185288\pi\) |
−0.485819 | + | 0.874060i | \(0.661479\pi\) | |||||||
\(578\) | −38.9639 | + | 5.87286i | −1.62068 | + | 0.244279i | ||||
\(579\) | −23.7778 | + | 22.0626i | −0.988172 | + | 0.916889i | ||||
\(580\) | 11.3065 | − | 14.1779i | 0.469478 | − | 0.588707i | ||||
\(581\) | 25.2022 | − | 3.87610i | 1.04556 | − | 0.160808i | ||||
\(582\) | 33.6075 | + | 42.1424i | 1.39307 | + | 1.74686i | ||||
\(583\) | −13.3746 | − | 2.01589i | −0.553918 | − | 0.0834896i | ||||
\(584\) | 1.10078 | − | 0.750498i | 0.0455505 | − | 0.0310558i | ||||
\(585\) | 1.87347 | + | 4.77352i | 0.0774584 | + | 0.197361i | ||||
\(586\) | −10.0283 | + | 3.09332i | −0.414266 | + | 0.127784i | ||||
\(587\) | −28.6455 | −1.18233 | −0.591163 | − | 0.806552i | \(-0.701331\pi\) | ||||
−0.591163 | + | 0.806552i | \(0.701331\pi\) | |||||||
\(588\) | 37.1713 | + | 34.0766i | 1.53292 | + | 1.40529i | ||||
\(589\) | −28.1762 | −1.16098 | ||||||||
\(590\) | −43.1890 | + | 13.3220i | −1.77806 | + | 0.548460i | ||||
\(591\) | 7.81612 | + | 19.9151i | 0.321512 | + | 0.819200i | ||||
\(592\) | 62.4158 | − | 42.5544i | 2.56527 | − | 1.74897i | ||||
\(593\) | −41.3362 | − | 6.23043i | −1.69747 | − | 0.255853i | −0.772262 | − | 0.635304i | \(-0.780875\pi\) |
−0.925212 | + | 0.379451i | \(0.876113\pi\) | |||||||
\(594\) | −17.2276 | − | 21.6027i | −0.706857 | − | 0.886370i | ||||
\(595\) | 7.33684 | + | 2.23900i | 0.300781 | + | 0.0917899i | ||||
\(596\) | 71.8331 | − | 90.0759i | 2.94240 | − | 3.68965i | ||||
\(597\) | −6.97649 | + | 6.47323i | −0.285529 | + | 0.264932i | ||||
\(598\) | −1.60705 | + | 0.242224i | −0.0657173 | + | 0.00990529i | ||||
\(599\) | 6.25486 | + | 5.80366i | 0.255567 | + | 0.237131i | 0.797542 | − | 0.603263i | \(-0.206133\pi\) |
−0.541976 | + | 0.840394i | \(0.682324\pi\) | |||||||
\(600\) | −6.77545 | − | 4.61942i | −0.276606 | − | 0.188587i | ||||
\(601\) | 3.88880 | − | 17.0379i | 0.158627 | − | 0.694992i | −0.831582 | − | 0.555402i | \(-0.812564\pi\) |
0.990209 | − | 0.139590i | \(-0.0445784\pi\) | |||||||
\(602\) | −11.0573 | + | 13.9513i | −0.450664 | + | 0.568611i | ||||
\(603\) | 0.649967 | + | 2.84769i | 0.0264687 | + | 0.115967i | ||||
\(604\) | −15.8306 | + | 40.3357i | −0.644138 | + | 1.64124i | ||||
\(605\) | 1.15856 | − | 15.4599i | 0.0471021 | − | 0.628534i | ||||
\(606\) | 2.58302 | − | 4.47393i | 0.104928 | − | 0.181741i | ||||
\(607\) | 13.3329 | + | 23.0932i | 0.541164 | + | 0.937324i | 0.998838 | + | 0.0482033i | \(0.0153495\pi\) |
−0.457673 | + | 0.889120i | \(0.651317\pi\) | |||||||
\(608\) | −55.0363 | + | 26.5041i | −2.23202 | + | 1.07488i | ||||
\(609\) | −5.14943 | + | 4.80684i | −0.208665 | + | 0.194783i | ||||
\(610\) | 32.2154 | + | 15.5141i | 1.30436 | + | 0.628149i | ||||
\(611\) | 0.378102 | + | 5.04542i | 0.0152964 | + | 0.204116i | ||||
\(612\) | 5.33683 | + | 1.64619i | 0.215729 | + | 0.0665435i | ||||
\(613\) | 23.1123 | + | 7.12919i | 0.933496 | + | 0.287945i | 0.723949 | − | 0.689853i | \(-0.242325\pi\) |
0.209547 | + | 0.977799i | \(0.432801\pi\) | |||||||
\(614\) | 3.49693 | + | 46.6633i | 0.141125 | + | 1.88318i | ||||
\(615\) | 26.0434 | + | 12.5419i | 1.05017 | + | 0.505736i | ||||
\(616\) | −2.89639 | − | 37.1513i | −0.116699 | − | 1.49687i | ||||
\(617\) | 24.7579 | − | 11.9228i | 0.996717 | − | 0.479994i | 0.136894 | − | 0.990586i | \(-0.456288\pi\) |
0.859823 | + | 0.510592i | \(0.170574\pi\) | |||||||
\(618\) | −14.7809 | − | 25.6013i | −0.594575 | − | 1.02983i | ||||
\(619\) | −4.78591 | + | 8.28944i | −0.192362 | + | 0.333181i | −0.946033 | − | 0.324072i | \(-0.894948\pi\) |
0.753671 | + | 0.657252i | \(0.228281\pi\) | |||||||
\(620\) | −3.87846 | + | 51.7544i | −0.155763 | + | 2.07851i | ||||
\(621\) | −0.419612 | + | 1.06915i | −0.0168384 | + | 0.0429037i | ||||
\(622\) | 3.32667 | + | 14.5751i | 0.133387 | + | 0.584409i | ||||
\(623\) | −2.05786 | − | 2.56462i | −0.0824463 | − | 0.102749i | ||||
\(624\) | 10.0211 | − | 43.9055i | 0.401167 | − | 1.75763i | ||||
\(625\) | −17.1667 | − | 11.7041i | −0.686669 | − | 0.468163i | ||||
\(626\) | −41.2764 | − | 38.2989i | −1.64974 | − | 1.53073i | ||||
\(627\) | −14.9226 | + | 2.24922i | −0.595950 | + | 0.0898251i | ||||
\(628\) | 5.65332 | − | 5.24551i | 0.225592 | − | 0.209319i | ||||
\(629\) | −6.60491 | + | 8.28230i | −0.263355 | + | 0.330237i | ||||
\(630\) | 8.59200 | + | 7.92430i | 0.342314 | + | 0.315712i | ||||
\(631\) | 4.68739 | + | 5.87780i | 0.186602 | + | 0.233992i | 0.866329 | − | 0.499474i | \(-0.166473\pi\) |
−0.679727 | + | 0.733465i | \(0.737902\pi\) | |||||||
\(632\) | 116.650 | + | 17.5822i | 4.64010 | + | 0.699382i | ||||
\(633\) | 16.2578 | − | 11.0844i | 0.646189 | − | 0.440564i | ||||
\(634\) | −5.92404 | − | 15.0942i | −0.235274 | − | 0.599467i | ||||
\(635\) | −0.143004 | + | 0.0441109i | −0.00567494 | + | 0.00175049i | ||||
\(636\) | −52.1422 | −2.06757 | ||||||||
\(637\) | 7.66402 | − | 19.8780i | 0.303659 | − | 0.787596i | ||||
\(638\) | 8.82719 | 0.349472 | ||||||||
\(639\) | −5.21080 | + | 1.60732i | −0.206136 | + | 0.0635846i | ||||
\(640\) | 1.49780 | + | 3.81633i | 0.0592057 | + | 0.150854i | ||||
\(641\) | 1.40677 | − | 0.959120i | 0.0555641 | − | 0.0378830i | −0.535219 | − | 0.844713i | \(-0.679771\pi\) |
0.590784 | + | 0.806830i | \(0.298819\pi\) | |||||||
\(642\) | −6.17677 | − | 0.930998i | −0.243778 | − | 0.0367436i | ||||
\(643\) | 1.53076 | + | 1.91951i | 0.0603672 | + | 0.0756981i | 0.811098 | − | 0.584910i | \(-0.198870\pi\) |
−0.750731 | + | 0.660608i | \(0.770299\pi\) | |||||||
\(644\) | −2.16580 | + | 1.48617i | −0.0853443 | + | 0.0585632i | ||||
\(645\) | 4.88253 | − | 6.12250i | 0.192250 | − | 0.241073i | ||||
\(646\) | 14.7474 | − | 13.6835i | 0.580227 | − | 0.538372i | ||||
\(647\) | 28.2193 | − | 4.25337i | 1.10941 | − | 0.167217i | 0.431325 | − | 0.902197i | \(-0.358046\pi\) |
0.678090 | + | 0.734979i | \(0.262808\pi\) | |||||||
\(648\) | −32.5219 | − | 30.1759i | −1.27758 | − | 1.18542i | ||||
\(649\) | −12.8893 | − | 8.78777i | −0.505949 | − | 0.344950i | ||||
\(650\) | −1.30727 | + | 5.72751i | −0.0512752 | + | 0.224651i | ||||
\(651\) | 4.42706 | − | 19.6684i | 0.173510 | − | 0.770867i | ||||
\(652\) | 17.0188 | + | 74.5644i | 0.666510 | + | 2.92017i | ||||
\(653\) | 3.07373 | − | 7.83175i | 0.120285 | − | 0.306480i | −0.858032 | − | 0.513597i | \(-0.828313\pi\) |
0.978316 | + | 0.207117i | \(0.0664080\pi\) | |||||||
\(654\) | 2.95276 | − | 39.4018i | 0.115462 | − | 1.54073i | ||||
\(655\) | −19.2158 | + | 33.2827i | −0.750822 | + | 1.30046i | ||||
\(656\) | 47.4222 | + | 82.1377i | 1.85153 | + | 3.20694i | ||||
\(657\) | −0.129951 | + | 0.0625813i | −0.00506989 | + | 0.00244153i | ||||
\(658\) | 5.79616 | + | 9.96993i | 0.225958 | + | 0.388668i | ||||
\(659\) | −24.6195 | − | 11.8561i | −0.959039 | − | 0.461849i | −0.112193 | − | 0.993686i | \(-0.535787\pi\) |
−0.846846 | + | 0.531838i | \(0.821502\pi\) | |||||||
\(660\) | 2.07730 | + | 27.7196i | 0.0808587 | + | 1.07898i | ||||
\(661\) | −19.4064 | − | 5.98607i | −0.754820 | − | 0.232831i | −0.106619 | − | 0.994300i | \(-0.534002\pi\) |
−0.648202 | + | 0.761469i | \(0.724479\pi\) | |||||||
\(662\) | 2.94887 | + | 0.909605i | 0.114611 | + | 0.0353528i | ||||
\(663\) | 0.471944 | + | 6.29766i | 0.0183288 | + | 0.244581i | ||||
\(664\) | −65.4456 | − | 31.5169i | −2.53978 | − | 1.22309i | ||||
\(665\) | 28.5012 | − | 8.88533i | 1.10523 | − | 0.344558i | ||||
\(666\) | −14.5430 | + | 7.00355i | −0.563531 | + | 0.271382i | ||||
\(667\) | −0.183462 | − | 0.317766i | −0.00710368 | − | 0.0123039i | ||||
\(668\) | −16.2442 | + | 28.1358i | −0.628507 | + | 1.08861i | ||||
\(669\) | −1.80376 | + | 24.0695i | −0.0697373 | + | 0.930580i | ||||
\(670\) | 7.08044 | − | 18.0407i | 0.273541 | − | 0.696971i | ||||
\(671\) | 2.74625 | + | 12.0321i | 0.106018 | + | 0.464494i | ||||
\(672\) | −9.85391 | − | 42.5826i | −0.380123 | − | 1.64266i | ||||
\(673\) | 2.17126 | − | 9.51293i | 0.0836961 | − | 0.366697i | −0.915684 | − | 0.401899i | \(-0.868350\pi\) |
0.999380 | + | 0.0352021i | \(0.0112075\pi\) | |||||||
\(674\) | 11.7929 | + | 8.04028i | 0.454247 | + | 0.309700i | ||||
\(675\) | 3.04347 | + | 2.82393i | 0.117143 | + | 0.108693i | ||||
\(676\) | 18.0144 | − | 2.71523i | 0.692861 | − | 0.104432i | ||||
\(677\) | −18.8355 | + | 17.4768i | −0.723906 | + | 0.671686i | −0.953429 | − | 0.301617i | \(-0.902474\pi\) |
0.229524 | + | 0.973303i | \(0.426283\pi\) | |||||||
\(678\) | 17.0404 | − | 21.3680i | 0.654434 | − | 0.820634i | ||||
\(679\) | 2.64013 | − | 36.7099i | 0.101319 | − | 1.40880i | ||||
\(680\) | −13.6248 | − | 17.0849i | −0.522487 | − | 0.655178i | ||||
\(681\) | −21.5311 | − | 3.24529i | −0.825074 | − | 0.124360i | ||||
\(682\) | −20.8733 | + | 14.2312i | −0.799280 | + | 0.544940i | ||||
\(683\) | 8.98140 | + | 22.8842i | 0.343664 | + | 0.875640i | 0.993318 | + | 0.115411i | \(0.0368184\pi\) |
−0.649654 | + | 0.760230i | \(0.725086\pi\) | |||||||
\(684\) | 20.7703 | − | 6.40679i | 0.794172 | − | 0.244970i | ||||
\(685\) | −16.4501 | −0.628527 | ||||||||
\(686\) | −4.06517 | − | 48.3887i | −0.155209 | − | 1.84749i | ||||
\(687\) | −9.80542 | −0.374100 | ||||||||
\(688\) | 24.5529 | − | 7.57357i | 0.936071 | − | 0.288740i | ||||
\(689\) | 8.04801 | + | 20.5060i | 0.306605 | + | 0.781216i | ||||
\(690\) | 1.34639 | − | 0.917953i | 0.0512562 | − | 0.0349459i | ||||
\(691\) | −2.94075 | − | 0.443247i | −0.111872 | − | 0.0168619i | 0.0928678 | − | 0.995678i | \(-0.470397\pi\) |
−0.204739 | + | 0.978817i | \(0.565635\pi\) | |||||||
\(692\) | −64.0745 | − | 80.3469i | −2.43575 | − | 3.05433i | ||||
\(693\) | −0.289393 | + | 4.02389i | −0.0109931 | + | 0.152855i | ||||
\(694\) | 6.05528 | − | 7.59308i | 0.229855 | − | 0.288229i | ||||
\(695\) | 28.6727 | − | 26.6044i | 1.08762 | − | 1.00916i | ||||
\(696\) | 19.8434 | − | 2.99091i | 0.752162 | − | 0.113370i | ||||
\(697\) | −9.74979 | − | 9.04648i | −0.369300 | − | 0.342660i | ||||
\(698\) | −52.5388 | − | 35.8203i | −1.98862 | − | 1.35582i | ||||
\(699\) | −0.821396 | + | 3.59877i | −0.0310681 | + | 0.136118i | ||||
\(700\) | 2.14061 | + | 9.25044i | 0.0809076 | + | 0.349634i | ||||
\(701\) | 0.282827 | + | 1.23914i | 0.0106822 | + | 0.0468018i | 0.979988 | − | 0.199056i | \(-0.0637875\pi\) |
−0.969306 | + | 0.245858i | \(0.920930\pi\) | |||||||
\(702\) | −16.4409 | + | 41.8908i | −0.620523 | + | 1.58107i | ||||
\(703\) | −3.08100 | + | 41.1131i | −0.116202 | + | 1.55061i | ||||
\(704\) | −8.67453 | + | 15.0247i | −0.326933 | + | 0.566265i | ||||
\(705\) | −2.53653 | − | 4.39340i | −0.0955313 | − | 0.165465i | ||||
\(706\) | 70.8172 | − | 34.1038i | 2.66524 | − | 1.28351i | ||||
\(707\) | −3.36755 | + | 1.04984i | −0.126650 | + | 0.0394834i | ||||
\(708\) | −54.1833 | − | 26.0933i | −2.03633 | − | 0.980646i | ||||
\(709\) | −3.51668 | − | 46.9269i | −0.132072 | − | 1.76238i | −0.532859 | − | 0.846204i | \(-0.678882\pi\) |
0.400787 | − | 0.916171i | \(-0.368737\pi\) | |||||||
\(710\) | 34.5737 | + | 10.6646i | 1.29753 | + | 0.400234i | ||||
\(711\) | −12.2041 | − | 3.76445i | −0.457688 | − | 0.141178i | ||||
\(712\) | 0.700011 | + | 9.34100i | 0.0262340 | + | 0.350069i | ||||
\(713\) | 0.946127 | + | 0.455631i | 0.0354327 | + | 0.0170635i | ||||
\(714\) | 7.23472 | + | 12.4444i | 0.270753 | + | 0.465720i | ||||
\(715\) | 10.5807 | − | 5.09539i | 0.395695 | − | 0.190557i | ||||
\(716\) | 48.8277 | + | 84.5720i | 1.82478 | + | 3.16060i | ||||
\(717\) | 9.95940 | − | 17.2502i | 0.371941 | − | 0.644220i | ||||
\(718\) | −1.92144 | + | 25.6398i | −0.0717075 | + | 0.956870i | ||||
\(719\) | 3.94929 | − | 10.0626i | 0.147284 | − | 0.375273i | −0.838125 | − | 0.545478i | \(-0.816348\pi\) |
0.985409 | + | 0.170206i | \(0.0544433\pi\) | |||||||
\(720\) | −3.75404 | − | 16.4475i | −0.139905 | − | 0.612964i | ||||
\(721\) | −4.43243 | + | 19.6923i | −0.165072 | + | 0.733379i | ||||
\(722\) | 6.33713 | − | 27.7648i | 0.235843 | − | 1.03330i | ||||
\(723\) | 29.5812 | + | 20.1681i | 1.10014 | + | 0.750061i | ||||
\(724\) | 26.8465 | + | 24.9099i | 0.997743 | + | 0.925770i | ||||
\(725\) | −1.31155 | + | 0.197684i | −0.0487096 | + | 0.00734179i | ||||
\(726\) | 21.3261 | − | 19.7877i | 0.791486 | − | 0.734392i | ||||
\(727\) | 15.0795 | − | 18.9091i | 0.559268 | − | 0.701300i | −0.419155 | − | 0.907915i | \(-0.637673\pi\) |
0.978422 | + | 0.206615i | \(0.0662449\pi\) | |||||||
\(728\) | −50.0421 | + | 34.3388i | −1.85468 | + | 1.27268i | ||||
\(729\) | 18.5835 | + | 23.3029i | 0.688277 | + | 0.863072i | ||||
\(730\) | 0.946312 | + | 0.142634i | 0.0350246 | + | 0.00527911i | ||||
\(731\) | −2.97710 | + | 2.02975i | −0.110112 | + | 0.0750731i | ||||
\(732\) | 17.3820 | + | 44.2885i | 0.642456 | + | 1.63695i | ||||
\(733\) | 21.3609 | − | 6.58895i | 0.788981 | − | 0.243368i | 0.126025 | − | 0.992027i | \(-0.459778\pi\) |
0.662956 | + | 0.748659i | \(0.269302\pi\) | |||||||
\(734\) | 42.3605 | 1.56355 | ||||||||
\(735\) | 1.72430 | + | 21.2914i | 0.0636017 | + | 0.785346i | ||||
\(736\) | 2.27666 | 0.0839187 | ||||||||
\(737\) | 6.39204 | − | 1.97168i | 0.235454 | − | 0.0726279i | ||||
\(738\) | −7.40400 | − | 18.8651i | −0.272545 | − | 0.694433i | ||||
\(739\) | −0.514420 | + | 0.350725i | −0.0189232 | + | 0.0129016i | −0.572745 | − | 0.819734i | \(-0.694121\pi\) |
0.553822 | + | 0.832635i | \(0.313169\pi\) | |||||||
\(740\) | 75.0931 | + | 11.3185i | 2.76048 | + | 0.416075i | ||||
\(741\) | 15.3244 | + | 19.2162i | 0.562956 | + | 0.705924i | ||||
\(742\) | 36.9093 | + | 34.0410i | 1.35498 | + | 1.24969i | ||||
\(743\) | −14.6375 | + | 18.3549i | −0.536999 | + | 0.673375i | −0.974121 | − | 0.226027i | \(-0.927426\pi\) |
0.437122 | + | 0.899402i | \(0.355998\pi\) | |||||||
\(744\) | −42.1009 | + | 39.0640i | −1.54350 | + | 1.43215i | ||||
\(745\) | 48.2586 | − | 7.27382i | 1.76806 | − | 0.266492i | ||||
\(746\) | −36.3819 | − | 33.7575i | −1.33204 | − | 1.23595i | ||||
\(747\) | 6.49760 | + | 4.42999i | 0.237735 | + | 0.162085i | ||||
\(748\) | 2.84607 | − | 12.4695i | 0.104063 | − | 0.455929i | ||||
\(749\) | 2.66930 | + | 3.32664i | 0.0975339 | + | 0.121553i | ||||
\(750\) | −10.2128 | − | 44.7453i | −0.372920 | − | 1.63387i | ||||
\(751\) | 17.4097 | − | 44.3591i | 0.635288 | − | 1.61869i | −0.142236 | − | 0.989833i | \(-0.545429\pi\) |
0.777524 | − | 0.628854i | \(-0.216476\pi\) | |||||||
\(752\) | 1.24391 | − | 16.5988i | 0.0453608 | − | 0.605297i | ||||
\(753\) | 5.93180 | − | 10.2742i | 0.216167 | − | 0.374412i | ||||
\(754\) | −7.18828 | − | 12.4505i | −0.261782 | − | 0.453419i | ||||
\(755\) | −16.5374 | + | 7.96398i | −0.601857 | + | 0.289839i | ||||
\(756\) | 5.65315 | + | 72.5117i | 0.205603 | + | 2.63723i | ||||
\(757\) | −3.64606 | − | 1.75585i | −0.132518 | − | 0.0638175i | 0.366450 | − | 0.930438i | \(-0.380573\pi\) |
−0.498968 | + | 0.866620i | \(0.666287\pi\) | |||||||
\(758\) | −3.86730 | − | 51.6056i | −0.140467 | − | 1.87440i | ||||
\(759\) | 0.537457 | + | 0.165783i | 0.0195084 | + | 0.00601756i | ||||
\(760\) | −81.2687 | − | 25.0681i | −2.94793 | − | 0.909314i | ||||
\(761\) | 2.85207 | + | 38.0583i | 0.103388 | + | 1.37961i | 0.771821 | + | 0.635839i | \(0.219346\pi\) |
−0.668434 | + | 0.743772i | \(0.733035\pi\) | |||||||
\(762\) | −0.253016 | − | 0.121846i | −0.00916581 | − | 0.00441402i | ||||
\(763\) | −19.7219 | + | 18.4099i | −0.713982 | + | 0.666482i | ||||
\(764\) | 20.4305 | − | 9.83880i | 0.739149 | − | 0.355955i | ||||
\(765\) | 1.18290 | + | 2.04884i | 0.0427678 | + | 0.0740759i | ||||
\(766\) | −13.5699 | + | 23.5038i | −0.490301 | + | 0.849227i | ||||
\(767\) | −1.89868 | + | 25.3361i | −0.0685573 | + | 0.914834i | ||||
\(768\) | 7.21460 | − | 18.3825i | 0.260334 | − | 0.663321i | ||||
\(769\) | −9.16664 | − | 40.1617i | −0.330558 | − | 1.44827i | −0.818054 | − | 0.575142i | \(-0.804947\pi\) |
0.487496 | − | 0.873125i | \(-0.337910\pi\) | |||||||
\(770\) | 16.6263 | − | 20.9777i | 0.599171 | − | 0.755985i | ||||
\(771\) | 5.82600 | − | 25.5254i | 0.209818 | − | 0.919274i | ||||
\(772\) | −88.4006 | − | 60.2705i | −3.18161 | − | 2.16918i | ||||
\(773\) | −9.81326 | − | 9.10537i | −0.352958 | − | 0.327498i | 0.483688 | − | 0.875240i | \(-0.339297\pi\) |
−0.836647 | + | 0.547743i | \(0.815487\pi\) | |||||||
\(774\) | −5.42897 | + | 0.818285i | −0.195140 | + | 0.0294127i | ||||
\(775\) | 2.78266 | − | 2.58193i | 0.0999560 | − | 0.0927456i | ||||
\(776\) | −65.3714 | + | 81.9732i | −2.34670 | + | 2.94267i | ||||
\(777\) | −28.2150 | − | 8.61043i | −1.01221 | − | 0.308897i | ||||
\(778\) | −30.8278 | − | 38.6569i | −1.10523 | − | 1.38592i | ||||
\(779\) | −51.1849 | − | 7.71488i | −1.83389 | − | 0.276414i | ||||
\(780\) | 37.4060 | − | 25.5030i | 1.33935 | − | 0.913153i | ||||
\(781\) | 4.56241 | + | 11.6248i | 0.163256 | + | 0.415969i | ||||
\(782\) | −0.716475 | + | 0.221003i | −0.0256211 | + | 0.00790306i | ||||
\(783\) | −10.1601 | −0.363091 | ||||||||
\(784\) | −34.6789 | + | 60.9080i | −1.23853 | + | 2.17529i | ||||
\(785\) | 3.26683 | 0.116598 | ||||||||
\(786\) | −68.9137 | + | 21.2571i | −2.45807 | + | 0.758215i | ||||
\(787\) | −9.28323 | − | 23.6533i | −0.330912 | − | 0.843149i | −0.995396 | − | 0.0958469i | \(-0.969444\pi\) |
0.664485 | − | 0.747302i | \(-0.268651\pi\) | |||||||
\(788\) | −58.3057 | + | 39.7521i | −2.07705 | + | 1.41611i | ||||
\(789\) | −28.3354 | − | 4.27087i | −1.00877 | − | 0.152047i | ||||
\(790\) | 52.8337 | + | 66.2514i | 1.87974 | + | 2.35712i | ||||
\(791\) | −18.4447 | + | 2.83679i | −0.655818 | + | 0.100865i | ||||
\(792\) | 7.16558 | − | 8.98536i | 0.254618 | − | 0.319281i | ||||
\(793\) | 14.7345 | − | 13.6716i | 0.523238 | − | 0.485493i | ||||
\(794\) | −0.876783 | + | 0.132154i | −0.0311159 | + | 0.00468996i | ||||
\(795\) | −16.1913 | − | 15.0233i | −0.574246 | − | 0.532822i | ||||
\(796\) | −25.9370 | − | 17.6836i | −0.919314 | − | 0.626777i | ||||
\(797\) | −1.31373 | + | 5.75582i | −0.0465347 | + | 0.203882i | −0.992851 | − | 0.119360i | \(-0.961916\pi\) |
0.946316 | + | 0.323242i | \(0.104773\pi\) | |||||||
\(798\) | 50.5469 | + | 24.1553i | 1.78934 | + | 0.855087i | ||||
\(799\) | 0.519414 | + | 2.27570i | 0.0183755 | + | 0.0805085i | ||||
\(800\) | 3.00664 | − | 7.66079i | 0.106301 | − | 0.270850i | ||||
\(801\) | 0.0757848 | − | 1.01128i | 0.00267772 | − | 0.0357317i | ||||
\(802\) | 30.5171 | − | 52.8571i | 1.07760 | − | 1.86645i | ||||
\(803\) | 0.165157 | + | 0.286060i | 0.00582826 | + | 0.0100948i | ||||
\(804\) | 23.2337 | − | 11.1887i | 0.819388 | − | 0.394596i | ||||
\(805\) | −1.10072 | − | 0.162527i | −0.0387955 | − | 0.00572831i | ||||
\(806\) | 37.0705 | + | 17.8522i | 1.30575 | + | 0.628817i | ||||
\(807\) | 3.16013 | + | 42.1690i | 0.111242 | + | 1.48442i | ||||
\(808\) | 9.60227 | + | 2.96191i | 0.337807 | + | 0.104200i | ||||
\(809\) | 10.7765 | + | 3.32412i | 0.378883 | + | 0.116870i | 0.478346 | − | 0.878171i | \(-0.341236\pi\) |
−0.0994633 | + | 0.995041i | \(0.531713\pi\) | |||||||
\(810\) | −2.38152 | − | 31.7792i | −0.0836781 | − | 1.11661i | ||||
\(811\) | 16.3734 | + | 7.88502i | 0.574948 | + | 0.276881i | 0.698679 | − | 0.715435i | \(-0.253772\pi\) |
−0.123731 | + | 0.992316i | \(0.539486\pi\) | |||||||
\(812\) | −19.2373 | − | 13.0313i | −0.675096 | − | 0.457307i | ||||
\(813\) | −35.7584 | + | 17.2203i | −1.25410 | + | 0.603943i | ||||
\(814\) | 18.4829 | + | 32.0134i | 0.647826 | + | 1.12207i | ||||
\(815\) | −16.1989 | + | 28.0574i | −0.567424 | + | 0.982808i | ||||
\(816\) | 1.55264 | − | 20.7185i | 0.0543533 | − | 0.725294i | ||||
\(817\) | −5.12325 | + | 13.0538i | −0.179240 | + | 0.456695i | ||||
\(818\) | −7.95240 | − | 34.8418i | −0.278049 | − | 1.21821i | ||||
\(819\) | 5.91123 | − | 2.86861i | 0.206555 | − | 0.100237i | ||||
\(820\) | −21.2164 | + | 92.9552i | −0.740909 | + | 3.24613i | ||||
\(821\) | 39.3340 | + | 26.8175i | 1.37277 | + | 0.935936i | 0.999968 | + | 0.00802310i | \(0.00255386\pi\) |
0.372798 | + | 0.927913i | \(0.378399\pi\) | |||||||
\(822\) | −22.6286 | − | 20.9963i | −0.789263 | − | 0.732330i | ||||
\(823\) | 11.6636 | − | 1.75800i | 0.406567 | − | 0.0612801i | 0.0574245 | − | 0.998350i | \(-0.481711\pi\) |
0.349142 | + | 0.937070i | \(0.386473\pi\) | |||||||
\(824\) | 42.1520 | − | 39.1113i | 1.46843 | − | 1.36251i | ||||
\(825\) | 1.26763 | − | 1.58956i | 0.0441334 | − | 0.0553415i | ||||
\(826\) | 21.3191 | + | 53.8439i | 0.741787 | + | 1.87347i | ||||
\(827\) | −16.1389 | − | 20.2376i | −0.561206 | − | 0.703730i | 0.417575 | − | 0.908643i | \(-0.362880\pi\) |
−0.978780 | + | 0.204913i | \(0.934309\pi\) | |||||||
\(828\) | −0.801048 | − | 0.120739i | −0.0278384 | − | 0.00419596i | ||||
\(829\) | 9.36981 | − | 6.38823i | 0.325427 | − | 0.221872i | −0.389575 | − | 0.920995i | \(-0.627378\pi\) |
0.715002 | + | 0.699122i | \(0.246426\pi\) | |||||||
\(830\) | −19.0628 | − | 48.5713i | −0.661680 | − | 1.68593i | ||||
\(831\) | −15.4458 | + | 4.76439i | −0.535808 | + | 0.165275i | ||||
\(832\) | 28.2558 | 0.979595 | ||||||||
\(833\) | 2.12947 | − | 9.59524i | 0.0737817 | − | 0.332455i | ||||
\(834\) | 73.3986 | 2.54159 | ||||||||
\(835\) | −13.1507 | + | 4.05646i | −0.455100 | + | 0.140380i | ||||
\(836\) | −18.1858 | − | 46.3367i | −0.628970 | − | 1.60259i | ||||
\(837\) | 24.0251 | − | 16.3800i | 0.830428 | − | 0.566176i | ||||
\(838\) | −22.2629 | − | 3.35559i | −0.769059 | − | 0.115917i | ||||
\(839\) | 11.7264 | + | 14.7044i | 0.404840 | + | 0.507654i | 0.941901 | − | 0.335890i | \(-0.109037\pi\) |
−0.537061 | + | 0.843543i | \(0.680465\pi\) | |||||||
\(840\) | 30.2678 | − | 52.7911i | 1.04434 | − | 1.82147i | ||||
\(841\) | −16.0575 | + | 20.1354i | −0.553706 | + | 0.694325i | ||||
\(842\) | −12.2726 | + | 11.3873i | −0.422943 | + | 0.392434i | ||||
\(843\) | −33.6226 | + | 5.06779i | −1.15802 | + | 0.174544i | ||||
\(844\) | 47.5776 | + | 44.1456i | 1.63769 | + | 1.51955i | ||||
\(845\) | 6.37618 | + | 4.34720i | 0.219347 | + | 0.149548i | ||||
\(846\) | −0.791445 | + | 3.46755i | −0.0272104 | + | 0.119217i | ||||
\(847\) | −19.8642 | + | 0.0596863i | −0.682543 | + | 0.00205084i | ||||
\(848\) | −16.1265 | − | 70.6550i | −0.553787 | − | 2.42630i | ||||
\(849\) | 0.706626 | − | 1.80045i | 0.0242514 | − | 0.0617914i | ||||
\(850\) | −0.202543 | + | 2.70275i | −0.00694718 | + | 0.0927037i | ||||
\(851\) | 0.768289 | − | 1.33072i | 0.0263366 | − | 0.0456163i | ||||
\(852\) | 24.0712 | + | 41.6926i | 0.824666 | + | 1.42836i | ||||
\(853\) | −8.23650 | + | 3.96649i | −0.282012 | + | 0.135810i | −0.569543 | − | 0.821961i | \(-0.692880\pi\) |
0.287531 | + | 0.957771i | \(0.407166\pi\) | |||||||
\(854\) | 16.6098 | − | 42.6978i | 0.568375 | − | 1.46109i | ||||
\(855\) | 8.29557 | + | 3.99494i | 0.283702 | + | 0.136624i | ||||
\(856\) | −0.908002 | − | 12.1164i | −0.0310349 | − | 0.414131i | ||||
\(857\) | 16.6993 | + | 5.15105i | 0.570437 | + | 0.175956i | 0.566537 | − | 0.824036i | \(-0.308283\pi\) |
0.00389923 | + | 0.999992i | \(0.498759\pi\) | |||||||
\(858\) | 21.0582 | + | 6.49560i | 0.718916 | + | 0.221756i | ||||
\(859\) | −0.959712 | − | 12.8065i | −0.0327449 | − | 0.436951i | −0.989349 | − | 0.145561i | \(-0.953501\pi\) |
0.956604 | − | 0.291390i | \(-0.0941177\pi\) | |||||||
\(860\) | 23.2722 | + | 11.2073i | 0.793577 | + | 0.382166i | ||||
\(861\) | 13.4276 | − | 34.5176i | 0.457611 | − | 1.17636i | ||||
\(862\) | −91.3905 | + | 44.0114i | −3.11277 | + | 1.49903i | ||||
\(863\) | 20.1744 | + | 34.9430i | 0.686743 | + | 1.18947i | 0.972886 | + | 0.231287i | \(0.0742936\pi\) |
−0.286142 | + | 0.958187i | \(0.592373\pi\) | |||||||
\(864\) | 31.5201 | − | 54.5944i | 1.07233 | − | 1.85734i | ||||
\(865\) | 3.25319 | − | 43.4108i | 0.110612 | − | 1.47601i | ||||
\(866\) | −0.486197 | + | 1.23881i | −0.0165216 | + | 0.0420964i | ||||
\(867\) | −4.94213 | − | 21.6529i | −0.167844 | − | 0.735371i | ||||
\(868\) | 66.4986 | − | 0.199809i | 2.25711 | − | 0.00678196i | ||||
\(869\) | −6.50829 | + | 28.5147i | −0.220779 | + | 0.967294i | ||||
\(870\) | 11.9102 | + | 8.12021i | 0.403792 | + | 0.275301i | ||||
\(871\) | −7.98625 | − | 7.41016i | −0.270604 | − | 0.251084i | ||||
\(872\) | 75.9987 | − | 11.4550i | 2.57364 | − | 0.387914i | ||||
\(873\) | 8.32090 | − | 7.72067i | 0.281620 | − | 0.261305i | ||||
\(874\) | −1.81939 | + | 2.28144i | −0.0615418 | + | 0.0771710i | ||||
\(875\) | −15.5874 | + | 27.1865i | −0.526950 | + | 0.919071i | ||||
\(876\) | 0.793940 | + | 0.995570i | 0.0268248 | + | 0.0336372i | ||||
\(877\) | −24.0921 | − | 3.63130i | −0.813533 | − | 0.122620i | −0.270919 | − | 0.962602i | \(-0.587327\pi\) |
−0.542614 | + | 0.839982i | \(0.682566\pi\) | |||||||
\(878\) | 12.6018 | − | 8.59175i | 0.425290 | − | 0.289958i | ||||
\(879\) | −2.16106 | − | 5.50628i | −0.0728906 | − | 0.185722i | ||||
\(880\) | −36.9188 | + | 11.3879i | −1.24453 | + | 0.383888i | ||||
\(881\) | −55.9997 | −1.88668 | −0.943339 | − | 0.331831i | \(-0.892334\pi\) | ||||
−0.943339 | + | 0.331831i | \(0.892334\pi\) | |||||||
\(882\) | 9.26702 | − | 11.7648i | 0.312037 | − | 0.396142i | ||||
\(883\) | 4.69302 | 0.157933 | 0.0789663 | − | 0.996877i | \(-0.474838\pi\) | ||||
0.0789663 | + | 0.996877i | \(0.474838\pi\) | |||||||
\(884\) | −19.9054 | + | 6.14001i | −0.669492 | + | 0.206511i | ||||
\(885\) | −9.30704 | − | 23.7139i | −0.312853 | − | 0.797136i | ||||
\(886\) | 14.1421 | − | 9.64193i | 0.475113 | − | 0.323927i | ||||
\(887\) | 47.6940 | + | 7.18872i | 1.60141 | + | 0.241373i | 0.888159 | − | 0.459537i | \(-0.151985\pi\) |
0.713249 | + | 0.700910i | \(0.247223\pi\) | |||||||
\(888\) | 52.3964 | + | 65.7030i | 1.75831 | + | 2.20485i | ||||
\(889\) | 0.0705901 | + | 0.178284i | 0.00236752 | + | 0.00597944i | ||||
\(890\) | −4.19524 | + | 5.26067i | −0.140625 | + | 0.176338i | ||||
\(891\) | 8.06321 | − | 7.48157i | 0.270128 | − | 0.250642i | ||||
\(892\) | −78.7258 | + | 11.8660i | −2.63594 | + | 0.397303i | ||||
\(893\) | 6.65942 | + | 6.17904i | 0.222849 | + | 0.206774i | ||||
\(894\) | 75.6681 | + | 51.5896i | 2.53072 | + | 1.72542i | ||||
\(895\) | −9.20501 | + | 40.3298i | −0.307690 | + | 1.34808i | ||||
\(896\) | 4.72591 | − | 2.29340i | 0.157882 | − | 0.0766170i | ||||
\(897\) | −0.203837 | − | 0.893068i | −0.00680592 | − | 0.0298187i | ||||
\(898\) | 15.9243 | − | 40.5745i | 0.531401 | − | 1.35399i | ||||
\(899\) | −0.694196 | + | 9.26340i | −0.0231527 | + | 0.308952i | ||||
\(900\) | −1.46417 | + | 2.53602i | −0.0488057 | + | 0.0845339i | ||||
\(901\) | 5.08146 | + | 8.80135i | 0.169288 | + | 0.293216i | ||||
\(902\) | −41.8151 | + | 20.1371i | −1.39229 | + | 0.670492i | ||||
\(903\) | −8.30729 | − | 5.62732i | −0.276449 | − | 0.187266i | ||||
\(904\) | 47.8975 | + | 23.0662i | 1.59305 | + | 0.767171i | ||||
\(905\) | 1.15933 | + | 15.4702i | 0.0385374 | + | 0.514246i | ||||
\(906\) | −32.9136 | − | 10.1525i | −1.09348 | − | 0.337294i | ||||
\(907\) | 18.9530 | + | 5.84622i | 0.629324 | + | 0.194121i | 0.592978 | − | 0.805219i | \(-0.297952\pi\) |
0.0363456 | + | 0.999339i | \(0.488428\pi\) | |||||||
\(908\) | −5.36726 | − | 71.6211i | −0.178119 | − | 2.37683i | ||||
\(909\) | −0.980160 | − | 0.472020i | −0.0325099 | − | 0.0156559i | ||||
\(910\) | −43.1278 | − | 6.36800i | −1.42967 | − | 0.211097i | ||||
\(911\) | 32.7621 | − | 15.7774i | 1.08546 | − | 0.522728i | 0.196398 | − | 0.980524i | \(-0.437075\pi\) |
0.889057 | + | 0.457797i | \(0.151361\pi\) | |||||||
\(912\) | −40.4301 | − | 70.0269i | −1.33877 | − | 2.31882i | ||||
\(913\) | 9.00478 | − | 15.5967i | 0.298015 | − | 0.516177i | ||||
\(914\) | 7.89023 | − | 105.288i | 0.260986 | − | 3.48261i | ||||
\(915\) | −7.36302 | + | 18.7607i | −0.243414 | + | 0.620209i | ||||
\(916\) | −7.19697 | − | 31.5320i | −0.237795 | − | 1.04185i | ||||
\(917\) | 44.4298 | + | 21.2321i | 1.46720 | + | 0.701144i | ||||
\(918\) | −4.61985 | + | 20.2409i | −0.152478 | + | 0.668048i | ||||
\(919\) | 17.1911 | + | 11.7207i | 0.567083 | + | 0.386631i | 0.812653 | − | 0.582748i | \(-0.198023\pi\) |
−0.245569 | + | 0.969379i | \(0.578975\pi\) | |||||||
\(920\) | 2.32355 | + | 2.15594i | 0.0766052 | + | 0.0710792i | ||||
\(921\) | −26.0806 | + | 3.93102i | −0.859385 | + | 0.129531i | ||||
\(922\) | −9.14653 | + | 8.48674i | −0.301225 | + | 0.279496i | ||||
\(923\) | 12.6811 | − | 15.9016i | 0.417404 | − | 0.523409i | ||||
\(924\) | 35.2028 | − | 5.41420i | 1.15809 | − | 0.178114i | ||||
\(925\) | −3.46313 | − | 4.34263i | −0.113867 | − | 0.142785i | ||||
\(926\) | −62.2685 | − | 9.38547i | −2.04627 | − | 0.308426i | ||||
\(927\) | −5.14358 | + | 3.50683i | −0.168937 | + | 0.115180i | ||||
\(928\) | 7.35771 | + | 18.7471i | 0.241529 | + | 0.615405i | ||||
\(929\) | 0.170729 | − | 0.0526630i | 0.00560145 | − | 0.00172782i | −0.291953 | − | 0.956433i | \(-0.594305\pi\) |
0.297555 | + | 0.954705i | \(0.403829\pi\) | |||||||
\(930\) | −41.2549 | −1.35280 | ||||||||
\(931\) | −14.1888 | − | 35.5232i | −0.465019 | − | 1.16423i | ||||
\(932\) | −12.1757 | −0.398829 | ||||||||
\(933\) | −8.05206 | + | 2.48373i | −0.263613 | + | 0.0813137i | ||||
\(934\) | 18.5664 | + | 47.3065i | 0.607512 | + | 1.54791i | ||||
\(935\) | 4.47650 | − | 3.05202i | 0.146397 | − | 0.0998119i | ||||
\(936\) | −18.5087 | − | 2.78974i | −0.604977 | − | 0.0911855i | ||||
\(937\) | 9.09326 | + | 11.4026i | 0.297064 | + | 0.372506i | 0.907854 | − | 0.419286i | \(-0.137720\pi\) |
−0.610790 | + | 0.791792i | \(0.709148\pi\) | |||||||
\(938\) | −23.7507 | − | 7.24804i | −0.775488 | − | 0.236657i | ||||
\(939\) | 19.7879 | − | 24.8133i | 0.645754 | − | 0.809750i | ||||
\(940\) | 12.2664 | − | 11.3816i | 0.400086 | − | 0.371226i | ||||
\(941\) | −27.8070 | + | 4.19122i | −0.906481 | + | 0.136630i | −0.585704 | − | 0.810525i | \(-0.699182\pi\) |
−0.320777 | + | 0.947155i | \(0.603944\pi\) | |||||||
\(942\) | 4.49381 | + | 4.16965i | 0.146416 | + | 0.135855i | ||||
\(943\) | 1.59398 | + | 1.08676i | 0.0519071 | + | 0.0353897i | ||||
\(944\) | 18.5998 | − | 81.4908i | 0.605370 | − | 2.65230i | ||||
\(945\) | −19.1368 | + | 24.1453i | −0.622520 | + | 0.785446i | ||||
\(946\) | 2.79783 | + | 12.2581i | 0.0909653 | + | 0.398545i | ||||
\(947\) | −5.77481 | + | 14.7140i | −0.187656 | + | 0.478140i | −0.993479 | − | 0.114017i | \(-0.963628\pi\) |
0.805823 | + | 0.592157i | \(0.201723\pi\) | |||||||
\(948\) | −8.42604 | + | 112.438i | −0.273665 | + | 3.65181i | ||||
\(949\) | 0.268986 | − | 0.465897i | 0.00873164 | − | 0.0151236i | ||||
\(950\) | 5.27414 | + | 9.13508i | 0.171116 | + | 0.296381i | ||||
\(951\) | 8.23442 | − | 3.96549i | 0.267019 | − | 0.128590i | ||||
\(952\) | −20.4678 | + | 19.1061i | −0.663366 | + | 0.619233i | ||||
\(953\) | 40.6458 | + | 19.5740i | 1.31665 | + | 0.634064i | 0.954543 | − | 0.298074i | \(-0.0963442\pi\) |
0.362104 | + | 0.932138i | \(0.382058\pi\) | |||||||
\(954\) | 1.15724 | + | 15.4422i | 0.0374669 | + | 0.499961i | ||||
\(955\) | 9.17889 | + | 2.83131i | 0.297022 | + | 0.0916192i | ||||
\(956\) | 62.7826 | + | 19.3659i | 2.03054 | + | 0.626337i | ||||
\(957\) | 0.371811 | + | 4.96147i | 0.0120189 | + | 0.160381i | ||||
\(958\) | −5.32364 | − | 2.56373i | −0.171999 | − | 0.0828304i | ||||
\(959\) | 1.63827 | + | 21.0138i | 0.0529026 | + | 0.678570i | ||||
\(960\) | −25.5255 | + | 12.2925i | −0.823833 | + | 0.396737i | ||||
\(961\) | 2.20710 | + | 3.82281i | 0.0711969 | + | 0.123317i | ||||
\(962\) | 30.1025 | − | 52.1391i | 0.970544 | − | 1.68103i | ||||
\(963\) | −0.0983023 | + | 1.31175i | −0.00316775 | + | 0.0422707i | ||||
\(964\) | −43.1441 | + | 109.929i | −1.38958 | + | 3.54059i | ||||
\(965\) | −10.0850 | − | 44.1855i | −0.324649 | − | 1.42238i | ||||
\(966\) | −1.30670 | − | 1.62849i | −0.0420425 | − | 0.0523959i | ||||
\(967\) | 11.5268 | − | 50.5020i | 0.370675 | − | 1.62403i | −0.354210 | − | 0.935166i | \(-0.615250\pi\) |
0.724886 | − | 0.688869i | \(-0.241893\pi\) | |||||||
\(968\) | 46.7557 | + | 31.8775i | 1.50278 | + | 1.02458i | ||||
\(969\) | 8.31224 | + | 7.71263i | 0.267028 | + | 0.247765i | ||||
\(970\) | −74.4730 | + | 11.2250i | −2.39118 | + | 0.360413i | ||||
\(971\) | 29.4461 | − | 27.3219i | 0.944969 | − | 0.876803i | −0.0475530 | − | 0.998869i | \(-0.515142\pi\) |
0.992522 | + | 0.122066i | \(0.0389518\pi\) | |||||||
\(972\) | −24.9809 | + | 31.3250i | −0.801262 | + | 1.00475i | ||||
\(973\) | −36.8406 | − | 33.9777i | −1.18106 | − | 1.08927i | ||||
\(974\) | 8.19842 | + | 10.2805i | 0.262694 | + | 0.329408i | ||||
\(975\) | −3.27430 | − | 0.493522i | −0.104862 | − | 0.0158054i | ||||
\(976\) | −54.6370 | + | 37.2509i | −1.74889 | + | 1.19237i | ||||
\(977\) | −8.28272 | − | 21.1040i | −0.264988 | − | 0.675177i | 0.735008 | − | 0.678058i | \(-0.237178\pi\) |
−0.999996 | + | 0.00288075i | \(0.999083\pi\) | |||||||
\(978\) | −58.0945 | + | 17.9198i | −1.85766 | + | 0.573011i | ||||
\(979\) | −2.32243 | −0.0742251 | ||||||||
\(980\) | −67.2027 | + | 21.1724i | −2.14671 | + | 0.676327i | ||||
\(981\) | −8.32073 | −0.265660 | ||||||||
\(982\) | 9.50102 | − | 2.93068i | 0.303190 | − | 0.0935217i | ||||
\(983\) | −6.48720 | − | 16.5291i | −0.206909 | − | 0.527197i | 0.789317 | − | 0.613986i | \(-0.210435\pi\) |
−0.996227 | + | 0.0867888i | \(0.972339\pi\) | |||||||
\(984\) | −87.1767 | + | 59.4360i | −2.77909 | + | 1.89475i | ||||
\(985\) | −29.5587 | − | 4.45525i | −0.941817 | − | 0.141956i | ||||
\(986\) | −4.13536 | − | 5.18558i | −0.131697 | − | 0.165142i | ||||
\(987\) | −5.35962 | + | 3.67777i | −0.170599 | + | 0.117065i | ||||
\(988\) | −50.5471 | + | 63.3840i | −1.60812 | + | 2.01651i | ||||
\(989\) | 0.383124 | − | 0.355487i | 0.0121826 | − | 0.0113038i | ||||
\(990\) | 8.16323 | − | 1.23041i | 0.259445 | − | 0.0391050i | ||||
\(991\) | 6.33519 | + | 5.87819i | 0.201244 | + | 0.186727i | 0.774356 | − | 0.632750i | \(-0.218074\pi\) |
−0.573113 | + | 0.819477i | \(0.694264\pi\) | |||||||
\(992\) | −47.6226 | − | 32.4685i | −1.51202 | − | 1.03088i | ||||
\(993\) | −0.387049 | + | 1.69577i | −0.0122826 | + | 0.0538137i | ||||
\(994\) | 10.1800 | − | 45.2273i | 0.322889 | − | 1.43452i | ||||
\(995\) | −2.95899 | − | 12.9642i | −0.0938062 | − | 0.410992i | ||||
\(996\) | 25.3649 | − | 64.6287i | 0.803718 | − | 2.04784i | ||||
\(997\) | 0.894504 | − | 11.9363i | 0.0283292 | − | 0.378027i | −0.964962 | − | 0.262389i | \(-0.915490\pi\) |
0.993291 | − | 0.115638i | \(-0.0368913\pi\) | |||||||
\(998\) | −35.9108 | + | 62.1993i | −1.13674 | + | 1.96888i | ||||
\(999\) | −21.2738 | − | 36.8472i | −0.673072 | − | 1.16579i |
(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 | 49.2.g.a.25.1 | yes | 48 | |
3.2 | odd | 2 | 441.2.bb.d.172.4 | 48 | |||
4.3 | odd | 2 | 784.2.bg.c.417.3 | 48 | |||
7.2 | even | 3 | 343.2.g.i.177.4 | 48 | |||
7.3 | odd | 6 | 343.2.e.c.99.8 | 48 | |||
7.4 | even | 3 | 343.2.e.d.99.8 | 48 | |||
7.5 | odd | 6 | 343.2.g.h.177.4 | 48 | |||
7.6 | odd | 2 | 343.2.g.g.67.1 | 48 | |||
49.2 | even | 21 | inner | 49.2.g.a.2.1 | ✓ | 48 | |
49.10 | odd | 42 | 2401.2.a.i.1.1 | 24 | |||
49.11 | even | 21 | 343.2.e.d.246.8 | 48 | |||
49.13 | odd | 14 | 343.2.g.h.312.4 | 48 | |||
49.36 | even | 7 | 343.2.g.i.312.4 | 48 | |||
49.38 | odd | 42 | 343.2.e.c.246.8 | 48 | |||
49.39 | even | 21 | 2401.2.a.h.1.1 | 24 | |||
49.47 | odd | 42 | 343.2.g.g.128.1 | 48 | |||
147.2 | odd | 42 | 441.2.bb.d.100.4 | 48 | |||
196.51 | odd | 42 | 784.2.bg.c.737.3 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
49.2.g.a.2.1 | ✓ | 48 | 49.2 | even | 21 | inner | |
49.2.g.a.25.1 | yes | 48 | 1.1 | even | 1 | trivial | |
343.2.e.c.99.8 | 48 | 7.3 | odd | 6 | |||
343.2.e.c.246.8 | 48 | 49.38 | odd | 42 | |||
343.2.e.d.99.8 | 48 | 7.4 | even | 3 | |||
343.2.e.d.246.8 | 48 | 49.11 | even | 21 | |||
343.2.g.g.67.1 | 48 | 7.6 | odd | 2 | |||
343.2.g.g.128.1 | 48 | 49.47 | odd | 42 | |||
343.2.g.h.177.4 | 48 | 7.5 | odd | 6 | |||
343.2.g.h.312.4 | 48 | 49.13 | odd | 14 | |||
343.2.g.i.177.4 | 48 | 7.2 | even | 3 | |||
343.2.g.i.312.4 | 48 | 49.36 | even | 7 | |||
441.2.bb.d.100.4 | 48 | 147.2 | odd | 42 | |||
441.2.bb.d.172.4 | 48 | 3.2 | odd | 2 | |||
784.2.bg.c.417.3 | 48 | 4.3 | odd | 2 | |||
784.2.bg.c.737.3 | 48 | 196.51 | odd | 42 | |||
2401.2.a.h.1.1 | 24 | 49.39 | even | 21 | |||
2401.2.a.i.1.1 | 24 | 49.10 | odd | 42 |