Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [756,2,Mod(95,756)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(756, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 17, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("756.95");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 756 = 2^{2} \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 756.ci (of order \(18\), degree \(6\), 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: | \(6.03669039281\) |
Analytic rank: | \(0\) |
Dimension: | \(840\) |
Relative dimension: | \(140\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 95.7 | ||
Character | \(\chi\) | \(=\) | 756.95 |
Dual form | 756.2.ci.a.191.7 |
$q$-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 \(\left(\mathbb{Z}/756\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{17}{18}\right)\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.39717 | + | 0.218922i | −0.987946 | + | 0.154801i | ||||
\(3\) | −0.617768 | − | 1.61814i | −0.356668 | − | 0.934231i | ||||
\(4\) | 1.90415 | − | 0.611740i | 0.952073 | − | 0.305870i | ||||
\(5\) | 3.83680 | + | 0.676532i | 1.71587 | + | 0.302554i | 0.943193 | − | 0.332245i | \(-0.107806\pi\) |
0.772677 | + | 0.634799i | \(0.218917\pi\) | |||||||
\(6\) | 1.21737 | + | 2.12556i | 0.496989 | + | 0.867757i | ||||
\(7\) | 1.64737 | − | 2.07031i | 0.622646 | − | 0.782504i | ||||
\(8\) | −2.52649 | + | 1.27156i | −0.893248 | + | 0.449565i | ||||
\(9\) | −2.23673 | + | 1.99926i | −0.745575 | + | 0.666421i | ||||
\(10\) | −5.50876 | − | 0.105268i | −1.74202 | − | 0.0332886i | ||||
\(11\) | −0.722722 | − | 4.09876i | −0.217909 | − | 1.23582i | −0.875787 | − | 0.482698i | \(-0.839657\pi\) |
0.657878 | − | 0.753124i | \(-0.271454\pi\) | |||||||
\(12\) | −2.16620 | − | 2.70325i | −0.625328 | − | 0.780362i | ||||
\(13\) | 0.710264 | − | 4.02811i | 0.196992 | − | 1.11720i | −0.712562 | − | 0.701610i | \(-0.752465\pi\) |
0.909553 | − | 0.415587i | \(-0.136424\pi\) | |||||||
\(14\) | −1.84841 | + | 3.25321i | −0.494008 | + | 0.869457i | ||||
\(15\) | −1.27553 | − | 6.62641i | −0.329341 | − | 1.71093i | ||||
\(16\) | 3.25155 | − | 2.32969i | 0.812887 | − | 0.582421i | ||||
\(17\) | −2.41074 | + | 1.39184i | −0.584690 | + | 0.337571i | −0.762995 | − | 0.646404i | \(-0.776272\pi\) |
0.178305 | + | 0.983975i | \(0.442939\pi\) | |||||||
\(18\) | 2.68740 | − | 3.28297i | 0.633425 | − | 0.773804i | ||||
\(19\) | −4.22205 | − | 2.43760i | −0.968606 | − | 0.559225i | −0.0697947 | − | 0.997561i | \(-0.522234\pi\) |
−0.898811 | + | 0.438337i | \(0.855568\pi\) | |||||||
\(20\) | 7.71970 | − | 1.05891i | 1.72618 | − | 0.236780i | ||||
\(21\) | −4.36773 | − | 1.38669i | −0.953117 | − | 0.302601i | ||||
\(22\) | 1.90707 | + | 5.56843i | 0.406589 | + | 1.18719i | ||||
\(23\) | 1.82410 | + | 1.53060i | 0.380350 | + | 0.319152i | 0.812840 | − | 0.582487i | \(-0.197920\pi\) |
−0.432490 | + | 0.901639i | \(0.642365\pi\) | |||||||
\(24\) | 3.61834 | + | 3.30267i | 0.738591 | + | 0.674154i | ||||
\(25\) | 9.56490 | + | 3.48134i | 1.91298 | + | 0.696268i | ||||
\(26\) | −0.110517 | + | 5.78343i | −0.0216741 | + | 1.13422i | ||||
\(27\) | 4.61686 | + | 2.38425i | 0.888515 | + | 0.458848i | ||||
\(28\) | 1.87033 | − | 4.94993i | 0.353460 | − | 0.935450i | ||||
\(29\) | −0.655746 | + | 0.115626i | −0.121769 | + | 0.0214711i | −0.234200 | − | 0.972188i | \(-0.575247\pi\) |
0.112432 | + | 0.993659i | \(0.464136\pi\) | |||||||
\(30\) | 3.23280 | + | 8.97895i | 0.590225 | + | 1.63932i | ||||
\(31\) | −1.04705 | − | 0.184623i | −0.188055 | − | 0.0331592i | 0.0788273 | − | 0.996888i | \(-0.474882\pi\) |
−0.266882 | + | 0.963729i | \(0.585994\pi\) | |||||||
\(32\) | −4.03293 | + | 3.96679i | −0.712929 | + | 0.701236i | ||||
\(33\) | −6.18587 | + | 3.70154i | −1.07682 | + | 0.644356i | ||||
\(34\) | 3.06350 | − | 2.47240i | 0.525386 | − | 0.424012i | ||||
\(35\) | 7.72125 | − | 6.82888i | 1.30513 | − | 1.15429i | ||||
\(36\) | −3.03602 | + | 5.17519i | −0.506004 | + | 0.862531i | ||||
\(37\) | −6.60816 | −1.08638 | −0.543188 | − | 0.839611i | \(-0.682783\pi\) | ||||
−0.543188 | + | 0.839611i | \(0.682783\pi\) | |||||||
\(38\) | 6.43256 | + | 2.48144i | 1.04350 | + | 0.402542i | ||||
\(39\) | −6.95681 | + | 1.33913i | −1.11398 | + | 0.214433i | ||||
\(40\) | −10.5539 | + | 3.16948i | −1.66871 | + | 0.501139i | ||||
\(41\) | 7.70796 | + | 1.35912i | 1.20378 | + | 0.212259i | 0.739332 | − | 0.673341i | \(-0.235141\pi\) |
0.464449 | + | 0.885600i | \(0.346252\pi\) | |||||||
\(42\) | 6.40602 | + | 0.981246i | 0.988471 | + | 0.151410i | ||||
\(43\) | 1.21910 | + | 1.45287i | 0.185911 | + | 0.221560i | 0.850947 | − | 0.525251i | \(-0.176028\pi\) |
−0.665037 | + | 0.746811i | \(0.731584\pi\) | |||||||
\(44\) | −3.88354 | − | 7.36252i | −0.585466 | − | 1.10994i | ||||
\(45\) | −9.93444 | + | 6.15757i | −1.48094 | + | 0.917916i | ||||
\(46\) | −2.88365 | − | 1.73917i | −0.425171 | − | 0.256426i | ||||
\(47\) | 0.690809 | + | 3.91778i | 0.100765 | + | 0.571466i | 0.992828 | + | 0.119555i | \(0.0381467\pi\) |
−0.892063 | + | 0.451912i | \(0.850742\pi\) | |||||||
\(48\) | −5.77845 | − | 3.82224i | −0.834047 | − | 0.551693i | ||||
\(49\) | −1.57237 | − | 6.82112i | −0.224624 | − | 0.974445i | ||||
\(50\) | −14.1259 | − | 2.77004i | −1.99770 | − | 0.391743i | ||||
\(51\) | 3.74146 | + | 3.04107i | 0.523910 | + | 0.425835i | ||||
\(52\) | −1.11171 | − | 8.10461i | −0.154166 | − | 1.12391i | ||||
\(53\) | 7.76861 | + | 4.48521i | 1.06710 | + | 0.616091i | 0.927388 | − | 0.374102i | \(-0.122049\pi\) |
0.139712 | + | 0.990192i | \(0.455382\pi\) | |||||||
\(54\) | −6.97248 | − | 2.32046i | −0.948834 | − | 0.315774i | ||||
\(55\) | − | 16.2151i | − | 2.18644i | ||||||
\(56\) | −1.52952 | + | 7.32534i | −0.204391 | + | 0.978889i | ||||
\(57\) | −1.33613 | + | 8.33773i | −0.176974 | + | 1.10436i | ||||
\(58\) | 0.890872 | − | 0.305105i | 0.116977 | − | 0.0400623i | ||||
\(59\) | −4.03175 | + | 1.46744i | −0.524889 | + | 0.191044i | −0.590855 | − | 0.806778i | \(-0.701209\pi\) |
0.0659659 | + | 0.997822i | \(0.478987\pi\) | |||||||
\(60\) | −6.48244 | − | 11.8374i | −0.836879 | − | 1.52820i | ||||
\(61\) | −2.47129 | − | 14.0154i | −0.316417 | − | 1.79449i | −0.564164 | − | 0.825663i | \(-0.690801\pi\) |
0.247747 | − | 0.968825i | \(-0.420310\pi\) | |||||||
\(62\) | 1.50332 | + | 0.0287271i | 0.190921 | + | 0.00364835i | ||||
\(63\) | 0.454390 | + | 7.92424i | 0.0572478 | + | 0.998360i | ||||
\(64\) | 4.76626 | − | 6.42517i | 0.595783 | − | 0.803146i | ||||
\(65\) | 5.45029 | − | 14.9745i | 0.676025 | − | 1.85736i | ||||
\(66\) | 7.83234 | − | 6.52589i | 0.964095 | − | 0.803282i | ||||
\(67\) | −0.0840601 | + | 0.100179i | −0.0102696 | + | 0.0122388i | −0.771155 | − | 0.636648i | \(-0.780321\pi\) |
0.760885 | + | 0.648887i | \(0.224765\pi\) | |||||||
\(68\) | −3.73895 | + | 4.12501i | −0.453415 | + | 0.500231i | ||||
\(69\) | 1.34985 | − | 3.89719i | 0.162503 | − | 0.469167i | ||||
\(70\) | −9.29288 | + | 11.2314i | −1.11071 | + | 1.34241i | ||||
\(71\) | −6.37555 | + | 11.0428i | −0.756639 | + | 1.31054i | 0.187917 | + | 0.982185i | \(0.439827\pi\) |
−0.944555 | + | 0.328352i | \(0.893507\pi\) | |||||||
\(72\) | 3.10887 | − | 7.89525i | 0.366384 | − | 0.930464i | ||||
\(73\) | 13.3719 | 1.56507 | 0.782534 | − | 0.622608i | \(-0.213927\pi\) | ||||
0.782534 | + | 0.622608i | \(0.213927\pi\) | |||||||
\(74\) | 9.23270 | − | 1.44667i | 1.07328 | − | 0.168172i | ||||
\(75\) | −0.275608 | − | 17.6280i | −0.0318245 | − | 2.03550i | ||||
\(76\) | −9.53059 | − | 2.05876i | −1.09323 | − | 0.236155i | ||||
\(77\) | −9.67629 | − | 5.25590i | −1.10272 | − | 0.598965i | ||||
\(78\) | 9.42665 | − | 3.39399i | 1.06736 | − | 0.384293i | ||||
\(79\) | −3.46913 | − | 4.13435i | −0.390308 | − | 0.465151i | 0.534731 | − | 0.845022i | \(-0.320413\pi\) |
−0.925039 | + | 0.379871i | \(0.875968\pi\) | |||||||
\(80\) | 14.0517 | − | 6.73877i | 1.57102 | − | 0.753417i | ||||
\(81\) | 1.00589 | − | 8.94361i | 0.111765 | − | 0.993735i | ||||
\(82\) | −11.0668 | − | 0.211478i | −1.22213 | − | 0.0233539i | ||||
\(83\) | −1.83841 | − | 10.4261i | −0.201791 | − | 1.14441i | −0.902410 | − | 0.430879i | \(-0.858204\pi\) |
0.700619 | − | 0.713536i | \(-0.252907\pi\) | |||||||
\(84\) | −9.16510 | + | 0.0314543i | −0.999994 | + | 0.00343194i | ||||
\(85\) | −10.1912 | + | 3.70928i | −1.10539 | + | 0.402328i | ||||
\(86\) | −2.02135 | − | 1.76301i | −0.217968 | − | 0.190110i | ||||
\(87\) | 0.592196 | + | 0.989655i | 0.0634901 | + | 0.106102i | ||||
\(88\) | 7.03777 | + | 9.43647i | 0.750229 | + | 1.00593i | ||||
\(89\) | 3.69290 | + | 2.13210i | 0.391447 | + | 0.226002i | 0.682787 | − | 0.730618i | \(-0.260768\pi\) |
−0.291340 | + | 0.956620i | \(0.594101\pi\) | |||||||
\(90\) | 12.5320 | − | 10.7780i | 1.32099 | − | 1.13610i | ||||
\(91\) | −7.16937 | − | 8.10624i | −0.751554 | − | 0.849765i | ||||
\(92\) | 4.40968 | + | 1.79861i | 0.459740 | + | 0.187518i | ||||
\(93\) | 0.348087 | + | 1.80832i | 0.0360950 | + | 0.187514i | ||||
\(94\) | −1.82286 | − | 5.32255i | −0.188014 | − | 0.548979i | ||||
\(95\) | −14.5501 | − | 12.2090i | −1.49281 | − | 1.25261i | ||||
\(96\) | 8.91023 | + | 4.07528i | 0.909396 | + | 0.415931i | ||||
\(97\) | −3.87711 | + | 3.25328i | −0.393661 | + | 0.330321i | −0.818037 | − | 0.575165i | \(-0.804938\pi\) |
0.424376 | + | 0.905486i | \(0.360493\pi\) | |||||||
\(98\) | 3.69015 | + | 9.18601i | 0.372762 | + | 0.927927i | ||||
\(99\) | 9.81103 | + | 7.72289i | 0.986046 | + | 0.776179i | ||||
\(100\) | 20.3426 | + | 0.777746i | 2.03426 | + | 0.0777746i | ||||
\(101\) | −6.16138 | − | 7.34284i | −0.613080 | − | 0.730640i | 0.366784 | − | 0.930306i | \(-0.380459\pi\) |
−0.979864 | + | 0.199666i | \(0.936014\pi\) | |||||||
\(102\) | −5.89320 | − | 3.42979i | −0.583514 | − | 0.339600i | ||||
\(103\) | 6.72004 | + | 1.18492i | 0.662146 | + | 0.116754i | 0.494614 | − | 0.869113i | \(-0.335309\pi\) |
0.167531 | + | 0.985867i | \(0.446420\pi\) | |||||||
\(104\) | 3.32752 | + | 11.0801i | 0.326290 | + | 1.08649i | ||||
\(105\) | −15.8200 | − | 8.27537i | −1.54387 | − | 0.807593i | ||||
\(106\) | −11.8359 | − | 4.56586i | −1.14961 | − | 0.443476i | ||||
\(107\) | 8.97074 | + | 15.5378i | 0.867234 | + | 1.50209i | 0.864812 | + | 0.502096i | \(0.167438\pi\) |
0.00242209 | + | 0.999997i | \(0.499229\pi\) | |||||||
\(108\) | 10.2497 | + | 1.71564i | 0.986279 | + | 0.165087i | ||||
\(109\) | −3.34863 | + | 5.80000i | −0.320741 | + | 0.555540i | −0.980641 | − | 0.195814i | \(-0.937265\pi\) |
0.659900 | + | 0.751353i | \(0.270599\pi\) | |||||||
\(110\) | 3.54983 | + | 22.6551i | 0.338463 | + | 2.16008i | ||||
\(111\) | 4.08231 | + | 10.6929i | 0.387476 | + | 1.01493i | ||||
\(112\) | 0.533318 | − | 10.5696i | 0.0503938 | − | 0.998729i | ||||
\(113\) | −0.394125 | + | 0.469700i | −0.0370761 | + | 0.0441856i | −0.784264 | − | 0.620427i | \(-0.786959\pi\) |
0.747188 | + | 0.664613i | \(0.231404\pi\) | |||||||
\(114\) | 0.0414785 | − | 11.9417i | 0.00388481 | − | 1.11844i | ||||
\(115\) | 5.96320 | + | 7.10666i | 0.556071 | + | 0.662700i | ||||
\(116\) | −1.17790 | + | 0.621314i | −0.109366 | + | 0.0576876i | ||||
\(117\) | 6.46459 | + | 10.4298i | 0.597651 | + | 0.964234i | ||||
\(118\) | 5.31177 | − | 2.93289i | 0.488988 | − | 0.269994i | ||||
\(119\) | −1.08983 | + | 7.28385i | −0.0999043 | + | 0.667709i | ||||
\(120\) | 11.6485 | + | 15.1196i | 1.06336 | + | 1.38022i | ||||
\(121\) | −5.94087 | + | 2.16230i | −0.540079 | + | 0.196573i | ||||
\(122\) | 6.52108 | + | 19.0408i | 0.590391 | + | 1.72387i | ||||
\(123\) | −2.56249 | − | 13.3122i | −0.231052 | − | 1.20032i | ||||
\(124\) | −2.10667 | + | 0.288972i | −0.189185 | + | 0.0259505i | ||||
\(125\) | 17.4732 | + | 10.0882i | 1.56285 | + | 0.902315i | ||||
\(126\) | −2.36965 | − | 10.9720i | −0.211105 | − | 0.977463i | ||||
\(127\) | 1.66530 | − | 0.961459i | 0.147771 | − | 0.0853157i | −0.424291 | − | 0.905526i | \(-0.639477\pi\) |
0.572063 | + | 0.820210i | \(0.306143\pi\) | |||||||
\(128\) | −5.25265 | + | 10.0205i | −0.464273 | + | 0.885692i | ||||
\(129\) | 1.59781 | − | 2.87020i | 0.140680 | − | 0.252707i | ||||
\(130\) | −4.33671 | + | 22.1151i | −0.380354 | + | 1.93962i | ||||
\(131\) | 0.613263 | + | 0.514589i | 0.0535810 | + | 0.0449598i | 0.669185 | − | 0.743096i | \(-0.266643\pi\) |
−0.615604 | + | 0.788056i | \(0.711088\pi\) | |||||||
\(132\) | −9.51443 | + | 10.8324i | −0.828124 | + | 0.942842i | ||||
\(133\) | −12.0019 | + | 4.72533i | −1.04069 | + | 0.409739i | ||||
\(134\) | 0.0955146 | − | 0.158369i | 0.00825120 | − | 0.0136810i | ||||
\(135\) | 16.1010 | + | 12.2713i | 1.38575 | + | 1.05615i | ||||
\(136\) | 4.32089 | − | 6.58187i | 0.370513 | − | 0.564391i | ||||
\(137\) | 3.82045 | − | 10.4966i | 0.326403 | − | 0.896785i | −0.662611 | − | 0.748964i | \(-0.730552\pi\) |
0.989014 | − | 0.147821i | \(-0.0472260\pi\) | |||||||
\(138\) | −1.03278 | + | 5.74053i | −0.0879163 | + | 0.488667i | ||||
\(139\) | 3.17828 | + | 8.73224i | 0.269578 | + | 0.740659i | 0.998431 | + | 0.0559895i | \(0.0178313\pi\) |
−0.728853 | + | 0.684670i | \(0.759946\pi\) | |||||||
\(140\) | 10.5249 | − | 17.7266i | 0.889516 | − | 1.49817i | ||||
\(141\) | 5.91273 | − | 3.53810i | 0.497942 | − | 0.297962i | ||||
\(142\) | 6.49020 | − | 16.8243i | 0.544646 | − | 1.41187i | ||||
\(143\) | −17.0236 | −1.42358 | ||||||||
\(144\) | −2.61517 | + | 11.7116i | −0.217930 | + | 0.975964i | ||||
\(145\) | −2.59419 | −0.215436 | ||||||||
\(146\) | −18.6828 | + | 2.92741i | −1.54620 | + | 0.242274i | ||||
\(147\) | −10.0661 | + | 6.75817i | −0.830241 | + | 0.557405i | ||||
\(148\) | −12.5829 | + | 4.04248i | −1.03431 | + | 0.332290i | ||||
\(149\) | −5.94768 | − | 16.3411i | −0.487253 | − | 1.33872i | −0.903158 | − | 0.429308i | \(-0.858757\pi\) |
0.415905 | − | 0.909408i | \(-0.363465\pi\) | |||||||
\(150\) | 4.24421 | + | 24.5689i | 0.346539 | + | 2.00604i | ||||
\(151\) | 14.8082 | − | 2.61109i | 1.20508 | − | 0.212488i | 0.465185 | − | 0.885213i | \(-0.345988\pi\) |
0.739892 | + | 0.672726i | \(0.234877\pi\) | |||||||
\(152\) | 13.7665 | + | 0.789970i | 1.11661 | + | 0.0640750i | ||||
\(153\) | 2.60950 | − | 7.93287i | 0.210966 | − | 0.641334i | ||||
\(154\) | 14.6700 | + | 5.22501i | 1.18214 | + | 0.421043i | ||||
\(155\) | −3.89241 | − | 1.41672i | −0.312646 | − | 0.113794i | ||||
\(156\) | −12.4276 | + | 6.80566i | −0.995003 | + | 0.544889i | ||||
\(157\) | −17.3721 | + | 6.32292i | −1.38644 | + | 0.504624i | −0.924125 | − | 0.382090i | \(-0.875204\pi\) |
−0.462318 | + | 0.886714i | \(0.652982\pi\) | |||||||
\(158\) | 5.75205 | + | 5.01691i | 0.457609 | + | 0.399124i | ||||
\(159\) | 2.45848 | − | 15.3415i | 0.194970 | − | 1.21666i | ||||
\(160\) | −18.1572 | + | 12.4914i | −1.43546 | + | 0.987531i | ||||
\(161\) | 6.17377 | − | 1.25499i | 0.486561 | − | 0.0989070i | ||||
\(162\) | 0.552561 | + | 12.7159i | 0.0434133 | + | 0.999057i | ||||
\(163\) | 2.30587 | − | 1.33129i | 0.180609 | − | 0.104275i | −0.406970 | − | 0.913442i | \(-0.633414\pi\) |
0.587579 | + | 0.809167i | \(0.300081\pi\) | |||||||
\(164\) | 15.5085 | − | 2.12730i | 1.21101 | − | 0.166114i | ||||
\(165\) | −26.2382 | + | 10.0171i | −2.04264 | + | 0.779834i | ||||
\(166\) | 4.85106 | + | 14.1645i | 0.376515 | + | 1.09938i | ||||
\(167\) | 13.9345 | + | 11.6924i | 1.07828 | + | 0.904787i | 0.995777 | − | 0.0918034i | \(-0.0292631\pi\) |
0.0825062 | + | 0.996591i | \(0.473708\pi\) | |||||||
\(168\) | 12.7983 | − | 2.05039i | 0.987409 | − | 0.158191i | ||||
\(169\) | −3.50519 | − | 1.27578i | −0.269630 | − | 0.0981372i | ||||
\(170\) | 13.4267 | − | 7.41354i | 1.02978 | − | 0.568593i | ||||
\(171\) | 14.3170 | − | 2.98875i | 1.09485 | − | 0.228555i | ||||
\(172\) | 3.21012 | + | 2.02070i | 0.244769 | + | 0.154077i | ||||
\(173\) | −0.843726 | + | 2.31812i | −0.0641473 | + | 0.176243i | −0.967625 | − | 0.252391i | \(-0.918783\pi\) |
0.903478 | + | 0.428635i | \(0.141005\pi\) | |||||||
\(174\) | −1.04405 | − | 1.25307i | −0.0791495 | − | 0.0949949i | ||||
\(175\) | 22.9643 | − | 14.0673i | 1.73594 | − | 1.06339i | ||||
\(176\) | −11.8988 | − | 11.6436i | −0.896904 | − | 0.877669i | ||||
\(177\) | 4.86519 | + | 5.61738i | 0.365690 | + | 0.422228i | ||||
\(178\) | −5.62636 | − | 2.17044i | −0.421714 | − | 0.162681i | ||||
\(179\) | −12.3184 | − | 21.3361i | −0.920721 | − | 1.59474i | −0.798302 | − | 0.602257i | \(-0.794268\pi\) |
−0.122419 | − | 0.992479i | \(-0.539065\pi\) | |||||||
\(180\) | −15.1498 | + | 17.8022i | −1.12920 | + | 1.32690i | ||||
\(181\) | 10.5131 | + | 18.2093i | 0.781434 | + | 1.35348i | 0.931106 | + | 0.364748i | \(0.118845\pi\) |
−0.149672 | + | 0.988736i | \(0.547822\pi\) | |||||||
\(182\) | 11.7914 | + | 9.75623i | 0.874039 | + | 0.723180i | ||||
\(183\) | −21.1521 | + | 12.6571i | −1.56361 | + | 0.935643i | ||||
\(184\) | −6.55480 | − | 1.54758i | −0.483227 | − | 0.114089i | ||||
\(185\) | −25.3542 | − | 4.47063i | −1.86408 | − | 0.328687i | ||||
\(186\) | −0.882216 | − | 2.45032i | −0.0646872 | − | 0.179666i | ||||
\(187\) | 7.44711 | + | 8.87512i | 0.544587 | + | 0.649013i | ||||
\(188\) | 3.71206 | + | 7.03742i | 0.270730 | + | 0.513257i | ||||
\(189\) | 12.5418 | − | 5.63060i | 0.912280 | − | 0.409566i | ||||
\(190\) | 23.0017 | + | 13.8726i | 1.66872 | + | 1.00643i | ||||
\(191\) | 2.40806 | − | 2.02060i | 0.174241 | − | 0.146205i | −0.551497 | − | 0.834177i | \(-0.685943\pi\) |
0.725738 | + | 0.687972i | \(0.241499\pi\) | |||||||
\(192\) | −13.3412 | − | 3.74320i | −0.962820 | − | 0.270142i | ||||
\(193\) | −1.77209 | + | 10.0500i | −0.127558 | + | 0.723415i | 0.852198 | + | 0.523219i | \(0.175269\pi\) |
−0.979756 | + | 0.200196i | \(0.935842\pi\) | |||||||
\(194\) | 4.70476 | − | 5.39416i | 0.337782 | − | 0.387278i | ||||
\(195\) | −27.5979 | + | 0.431485i | −1.97632 | + | 0.0308993i | ||||
\(196\) | −7.16677 | − | 12.0265i | −0.511912 | − | 0.859038i | ||||
\(197\) | 7.58334 | − | 4.37824i | 0.540291 | − | 0.311937i | −0.204906 | − | 0.978782i | \(-0.565689\pi\) |
0.745197 | + | 0.666845i | \(0.232356\pi\) | |||||||
\(198\) | −15.3983 | − | 8.64231i | −1.09431 | − | 0.614182i | ||||
\(199\) | 17.3529 | − | 10.0187i | 1.23011 | − | 0.710205i | 0.263059 | − | 0.964780i | \(-0.415269\pi\) |
0.967053 | + | 0.254574i | \(0.0819354\pi\) | |||||||
\(200\) | −28.5923 | + | 3.36681i | −2.02178 | + | 0.238069i | ||||
\(201\) | 0.214033 | + | 0.0741333i | 0.0150967 | + | 0.00522896i | ||||
\(202\) | 10.2160 | + | 8.91031i | 0.718794 | + | 0.626928i | ||||
\(203\) | −0.840872 | + | 1.54807i | −0.0590177 | + | 0.108654i | ||||
\(204\) | 8.98464 | + | 3.50184i | 0.629050 | + | 0.245178i | ||||
\(205\) | 28.6544 | + | 10.4294i | 2.00131 | + | 0.728418i | ||||
\(206\) | −9.64842 | − | 0.184373i | −0.672237 | − | 0.0128459i | ||||
\(207\) | −7.14007 | + | 0.223321i | −0.496270 | + | 0.0155219i | ||||
\(208\) | −7.07477 | − | 14.7523i | −0.490547 | − | 1.02289i | ||||
\(209\) | −6.93978 | + | 19.0669i | −0.480035 | + | 1.31888i | ||||
\(210\) | 23.9148 | + | 8.09873i | 1.65028 | + | 0.558865i | ||||
\(211\) | 12.9947 | − | 15.4865i | 0.894593 | − | 1.06613i | −0.102852 | − | 0.994697i | \(-0.532797\pi\) |
0.997445 | − | 0.0714379i | \(-0.0227588\pi\) | |||||||
\(212\) | 17.5363 | + | 3.78812i | 1.20440 | + | 0.260169i | ||||
\(213\) | 21.8073 | + | 3.49463i | 1.49421 | + | 0.239448i | ||||
\(214\) | −15.9352 | − | 19.7450i | −1.08931 | − | 1.34974i | ||||
\(215\) | 3.69453 | + | 6.39912i | 0.251965 | + | 0.436416i | ||||
\(216\) | −14.6961 | − | 0.153142i | −0.999946 | − | 0.0104200i | ||||
\(217\) | −2.10710 | + | 1.86357i | −0.143039 | + | 0.126507i | ||||
\(218\) | 3.40885 | − | 8.83666i | 0.230876 | − | 0.598494i | ||||
\(219\) | −8.26076 | − | 21.6376i | −0.558210 | − | 1.46214i | ||||
\(220\) | −9.91941 | − | 30.8759i | −0.668766 | − | 2.08165i | ||||
\(221\) | 3.89422 | + | 10.6993i | 0.261954 | + | 0.719712i | ||||
\(222\) | −8.04457 | − | 14.0461i | −0.539916 | − | 0.942709i | ||||
\(223\) | −7.75985 | + | 21.3200i | −0.519638 | + | 1.42769i | 0.351283 | + | 0.936269i | \(0.385746\pi\) |
−0.870921 | + | 0.491424i | \(0.836477\pi\) | |||||||
\(224\) | 1.56877 | + | 14.8842i | 0.104818 | + | 0.994491i | ||||
\(225\) | −28.3542 | + | 11.3360i | −1.89028 | + | 0.755730i | ||||
\(226\) | 0.447830 | − | 0.742531i | 0.0297892 | − | 0.0493924i | ||||
\(227\) | 2.52386 | + | 14.3135i | 0.167515 | + | 0.950023i | 0.946434 | + | 0.322898i | \(0.104657\pi\) |
−0.778919 | + | 0.627124i | \(0.784232\pi\) | |||||||
\(228\) | 2.55635 | + | 16.6936i | 0.169298 | + | 1.10556i | ||||
\(229\) | 20.2624 | − | 7.37491i | 1.33898 | − | 0.487348i | 0.429487 | − | 0.903073i | \(-0.358694\pi\) |
0.909490 | + | 0.415725i | \(0.136472\pi\) | |||||||
\(230\) | −9.88738 | − | 8.62372i | −0.651955 | − | 0.568631i | ||||
\(231\) | −2.52706 | + | 18.9045i | −0.166268 | + | 1.24382i | ||||
\(232\) | 1.50971 | − | 1.12595i | 0.0991171 | − | 0.0739221i | ||||
\(233\) | 1.52840i | 0.100129i | 0.998746 | + | 0.0500643i | \(0.0159426\pi\) | ||||
−0.998746 | + | 0.0500643i | \(0.984057\pi\) | |||||||
\(234\) | −11.3154 | − | 13.1569i | −0.739711 | − | 0.860094i | ||||
\(235\) | 15.4991i | 1.01105i | ||||||||
\(236\) | −6.77935 | + | 5.26060i | −0.441298 | + | 0.342436i | ||||
\(237\) | −4.54682 | + | 8.16760i | −0.295348 | + | 0.530542i | ||||
\(238\) | −0.0719226 | − | 10.4153i | −0.00466205 | − | 0.675126i | ||||
\(239\) | −23.2418 | + | 8.45931i | −1.50338 | + | 0.547187i | −0.956934 | − | 0.290305i | \(-0.906243\pi\) |
−0.546450 | + | 0.837492i | \(0.684021\pi\) | |||||||
\(240\) | −19.5849 | − | 18.5745i | −1.26420 | − | 1.19898i | ||||
\(241\) | 4.85001 | + | 1.76526i | 0.312417 | + | 0.113710i | 0.493470 | − | 0.869763i | \(-0.335728\pi\) |
−0.181053 | + | 0.983473i | \(0.557951\pi\) | |||||||
\(242\) | 7.82701 | − | 4.32168i | 0.503139 | − | 0.277808i | ||||
\(243\) | −15.0934 | + | 3.89741i | −0.968241 | + | 0.250019i | ||||
\(244\) | −13.2795 | − | 25.1756i | −0.850132 | − | 1.61170i | ||||
\(245\) | −1.41817 | − | 27.2350i | −0.0906033 | − | 1.73998i | ||||
\(246\) | 6.49454 | + | 18.0383i | 0.414077 | + | 1.15008i | ||||
\(247\) | −12.8177 | + | 15.2756i | −0.815571 | + | 0.971960i | ||||
\(248\) | 2.88011 | − | 0.864938i | 0.182887 | − | 0.0549236i | ||||
\(249\) | −15.7352 | + | 9.41571i | −0.997175 | + | 0.596696i | ||||
\(250\) | −26.6216 | − | 10.2696i | −1.68369 | − | 0.649506i | ||||
\(251\) | 6.23110 | + | 10.7926i | 0.393304 | + | 0.681222i | 0.992883 | − | 0.119093i | \(-0.0379988\pi\) |
−0.599579 | + | 0.800315i | \(0.704665\pi\) | |||||||
\(252\) | 5.71280 | + | 14.8109i | 0.359873 | + | 0.933001i | ||||
\(253\) | 4.95524 | − | 8.58273i | 0.311533 | − | 0.539591i | ||||
\(254\) | −2.11621 | + | 1.70789i | −0.132783 | + | 0.107162i | ||||
\(255\) | 12.2979 | + | 14.1992i | 0.770123 | + | 0.889188i | ||||
\(256\) | 5.14513 | − | 15.1502i | 0.321571 | − | 0.946886i | ||||
\(257\) | 1.23755 | + | 3.40015i | 0.0771965 | + | 0.212096i | 0.972288 | − | 0.233787i | \(-0.0751120\pi\) |
−0.895091 | + | 0.445883i | \(0.852890\pi\) | |||||||
\(258\) | −1.60406 | + | 4.35995i | −0.0998646 | + | 0.271438i | ||||
\(259\) | −10.8861 | + | 13.6809i | −0.676427 | + | 0.850093i | ||||
\(260\) | 1.21762 | − | 31.8479i | 0.0755135 | − | 1.97512i | ||||
\(261\) | 1.23556 | − | 1.56963i | 0.0764791 | − | 0.0971577i | ||||
\(262\) | −0.969485 | − | 0.584709i | −0.0598950 | − | 0.0361235i | ||||
\(263\) | −2.07446 | + | 1.74068i | −0.127917 | + | 0.107335i | −0.704502 | − | 0.709702i | \(-0.748829\pi\) |
0.576585 | + | 0.817037i | \(0.304385\pi\) | |||||||
\(264\) | 10.9218 | − | 17.2176i | 0.672189 | − | 1.05967i | ||||
\(265\) | 26.7722 | + | 22.4646i | 1.64460 | + | 1.37999i | ||||
\(266\) | 15.7341 | − | 9.22955i | 0.964721 | − | 0.565900i | ||||
\(267\) | 1.16867 | − | 7.29276i | 0.0715214 | − | 0.446310i | ||||
\(268\) | −0.0987793 | + | 0.242178i | −0.00603390 | + | 0.0147934i | ||||
\(269\) | 23.7867 | + | 13.7333i | 1.45030 | + | 0.837332i | 0.998498 | − | 0.0547854i | \(-0.0174475\pi\) |
0.451804 | + | 0.892117i | \(0.350781\pi\) | |||||||
\(270\) | −25.1822 | − | 13.6202i | −1.53254 | − | 0.828901i | ||||
\(271\) | 12.1508 | − | 7.01526i | 0.738108 | − | 0.426147i | −0.0832732 | − | 0.996527i | \(-0.526537\pi\) |
0.821381 | + | 0.570380i | \(0.193204\pi\) | |||||||
\(272\) | −4.59608 | + | 10.1419i | −0.278678 | + | 0.614943i | ||||
\(273\) | −8.68799 | + | 16.6088i | −0.525821 | + | 1.00521i | ||||
\(274\) | −3.03987 | + | 15.5019i | −0.183645 | + | 0.936502i | ||||
\(275\) | 7.35640 | − | 41.7202i | 0.443608 | − | 2.51582i | ||||
\(276\) | 0.186241 | − | 8.24658i | 0.0112104 | − | 0.496386i | ||||
\(277\) | 4.80166 | − | 4.02907i | 0.288504 | − | 0.242084i | −0.487036 | − | 0.873382i | \(-0.661922\pi\) |
0.775540 | + | 0.631298i | \(0.217478\pi\) | |||||||
\(278\) | −6.35226 | − | 11.5046i | −0.380983 | − | 0.690000i | ||||
\(279\) | 2.71107 | − | 1.68037i | 0.162307 | − | 0.100601i | ||||
\(280\) | −10.8243 | + | 27.0711i | −0.646875 | + | 1.61781i | ||||
\(281\) | −12.9329 | − | 15.4128i | −0.771512 | − | 0.919452i | 0.227005 | − | 0.973894i | \(-0.427107\pi\) |
−0.998517 | + | 0.0544412i | \(0.982662\pi\) | |||||||
\(282\) | −7.48650 | + | 6.23774i | −0.445815 | + | 0.371452i | ||||
\(283\) | −1.41460 | + | 1.68585i | −0.0840891 | + | 0.100214i | −0.806449 | − | 0.591304i | \(-0.798613\pi\) |
0.722359 | + | 0.691518i | \(0.243058\pi\) | |||||||
\(284\) | −5.38467 | + | 24.9273i | −0.319522 | + | 1.47916i | ||||
\(285\) | −10.7672 | + | 31.0863i | −0.637793 | + | 1.84139i | ||||
\(286\) | 23.7848 | − | 3.72683i | 1.40642 | − | 0.220372i | ||||
\(287\) | 15.5116 | − | 13.7189i | 0.915623 | − | 0.809801i | ||||
\(288\) | 1.08990 | − | 16.9355i | 0.0642231 | − | 0.997936i | ||||
\(289\) | −4.62556 | + | 8.01170i | −0.272092 | + | 0.471277i | ||||
\(290\) | 3.62452 | − | 0.567925i | 0.212839 | − | 0.0333497i | ||||
\(291\) | 7.65941 | + | 4.26392i | 0.449003 | + | 0.249956i | ||||
\(292\) | 25.4621 | − | 8.18016i | 1.49006 | − | 0.478707i | ||||
\(293\) | −4.32159 | − | 11.8735i | −0.252470 | − | 0.693655i | −0.999581 | − | 0.0289558i | \(-0.990782\pi\) |
0.747111 | − | 0.664699i | \(-0.231440\pi\) | |||||||
\(294\) | 12.5846 | − | 11.6460i | 0.733946 | − | 0.679208i | ||||
\(295\) | −16.4618 | + | 2.90266i | −0.958442 | + | 0.168999i | ||||
\(296\) | 16.6954 | − | 8.40268i | 0.970402 | − | 0.488396i | ||||
\(297\) | 6.43574 | − | 20.6465i | 0.373440 | − | 1.19803i | ||||
\(298\) | 11.8873 | + | 21.5292i | 0.688614 | + | 1.24715i | ||||
\(299\) | 7.46101 | − | 6.26053i | 0.431481 | − | 0.362056i | ||||
\(300\) | −11.3085 | − | 33.3976i | −0.652898 | − | 1.92821i | ||||
\(301\) | 5.01619 | − | 0.130511i | 0.289128 | − | 0.00752256i | ||||
\(302\) | −20.1179 | + | 6.88997i | −1.15766 | + | 0.396473i | ||||
\(303\) | −8.07542 | + | 14.5061i | −0.463921 | + | 0.833355i | ||||
\(304\) | −19.4071 | + | 1.91007i | −1.11307 | + | 0.109550i | ||||
\(305\) | − | 55.4462i | − | 3.17484i | ||||||
\(306\) | −1.90923 | + | 11.6548i | −0.109144 | + | 0.666261i | ||||
\(307\) | 17.1538 | + | 9.90376i | 0.979020 | + | 0.565237i | 0.901974 | − | 0.431790i | \(-0.142118\pi\) |
0.0770457 | + | 0.997028i | \(0.475451\pi\) | |||||||
\(308\) | −21.6403 | − | 4.08863i | −1.23307 | − | 0.232971i | ||||
\(309\) | −2.23406 | − | 11.6059i | −0.127091 | − | 0.660239i | ||||
\(310\) | 5.74849 | + | 1.12726i | 0.326492 | + | 0.0640242i | ||||
\(311\) | −16.3182 | − | 13.6926i | −0.925323 | − | 0.776438i | 0.0496489 | − | 0.998767i | \(-0.484190\pi\) |
−0.974972 | + | 0.222329i | \(0.928634\pi\) | |||||||
\(312\) | 15.8735 | − | 12.2293i | 0.898659 | − | 0.692348i | ||||
\(313\) | 22.2201 | + | 8.08747i | 1.25596 | + | 0.457131i | 0.882410 | − | 0.470481i | \(-0.155920\pi\) |
0.373546 | + | 0.927612i | \(0.378142\pi\) | |||||||
\(314\) | 22.8875 | − | 12.6373i | 1.29161 | − | 0.713164i | ||||
\(315\) | −3.61759 | + | 30.7111i | −0.203828 | + | 1.73038i | ||||
\(316\) | −9.13489 | − | 5.75020i | −0.513877 | − | 0.323474i | ||||
\(317\) | 0.0412626 | − | 0.00727572i | 0.00231754 | − | 0.000408645i | −0.172489 | − | 0.985011i | \(-0.555181\pi\) |
0.174807 | + | 0.984603i | \(0.444070\pi\) | |||||||
\(318\) | −0.0763207 | + | 21.9728i | −0.00427985 | + | 1.23217i | ||||
\(319\) | 0.947843 | + | 2.60418i | 0.0530690 | + | 0.145806i | ||||
\(320\) | 22.6340 | − | 21.4276i | 1.26528 | − | 1.19784i | ||||
\(321\) | 19.6004 | − | 24.1146i | 1.09399 | − | 1.34595i | ||||
\(322\) | −8.35104 | + | 3.10500i | −0.465385 | + | 0.173035i | ||||
\(323\) | 13.5710 | 0.755112 | ||||||||
\(324\) | −3.55581 | − | 17.6453i | −0.197545 | − | 0.980294i | ||||
\(325\) | 20.8168 | − | 36.0558i | 1.15471 | − | 2.00001i | ||||
\(326\) | −2.93023 | + | 2.36484i | −0.162290 | + | 0.130976i | ||||
\(327\) | 11.4539 | + | 1.83549i | 0.633400 | + | 0.101503i | ||||
\(328\) | −21.2023 | + | 6.36735i | −1.17070 | + | 0.351578i | ||||
\(329\) | 9.24903 | + | 5.02382i | 0.509915 | + | 0.276972i | ||||
\(330\) | 34.4661 | − | 19.7397i | 1.89730 | − | 1.08664i | ||||
\(331\) | 12.9530 | − | 2.28396i | 0.711962 | − | 0.125538i | 0.194074 | − | 0.980987i | \(-0.437830\pi\) |
0.517887 | + | 0.855449i | \(0.326719\pi\) | |||||||
\(332\) | −9.87867 | − | 18.7282i | −0.542162 | − | 1.02784i | ||||
\(333\) | 14.7806 | − | 13.2115i | 0.809974 | − | 0.723984i | ||||
\(334\) | −22.0285 | − | 13.2857i | −1.20535 | − | 0.726961i | ||||
\(335\) | −0.390296 | + | 0.327497i | −0.0213242 | + | 0.0178931i | ||||
\(336\) | −17.4324 | + | 5.66655i | −0.951018 | + | 0.309136i | ||||
\(337\) | −3.90993 | + | 22.1743i | −0.212988 | + | 1.20791i | 0.671377 | + | 0.741116i | \(0.265703\pi\) |
−0.884365 | + | 0.466797i | \(0.845408\pi\) | |||||||
\(338\) | 5.17663 | + | 1.01512i | 0.281571 | + | 0.0552153i | ||||
\(339\) | 1.00352 | + | 0.347582i | 0.0545035 | + | 0.0188781i | ||||
\(340\) | −17.1363 | + | 13.2973i | −0.929348 | + | 0.721150i | ||||
\(341\) | 4.42502i | 0.239628i | ||||||||
\(342\) | −19.3489 | + | 7.31008i | −1.04627 | + | 0.395284i | ||||
\(343\) | −16.7121 | − | 7.98159i | −0.902369 | − | 0.430965i | ||||
\(344\) | −4.92745 | − | 2.12049i | −0.265670 | − | 0.114329i | ||||
\(345\) | 7.81567 | − | 14.0395i | 0.420782 | − | 0.755863i | ||||
\(346\) | 0.671339 | − | 3.42351i | 0.0360914 | − | 0.184049i | ||||
\(347\) | −2.68325 | + | 15.2175i | −0.144044 | + | 0.816916i | 0.824085 | + | 0.566466i | \(0.191690\pi\) |
−0.968130 | + | 0.250450i | \(0.919421\pi\) | |||||||
\(348\) | 1.73304 | + | 1.52218i | 0.0929007 | + | 0.0815973i | ||||
\(349\) | 2.21904 | + | 12.5848i | 0.118783 | + | 0.673649i | 0.984808 | + | 0.173649i | \(0.0555557\pi\) |
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(350\) | −29.0054 | + | 24.6817i | −1.55040 | + | 1.31929i | ||||
\(351\) | 12.8832 | − | 16.9038i | 0.687654 | − | 0.902256i | ||||
\(352\) | 19.1736 | + | 13.6631i | 1.02196 | + | 0.728247i | ||||
\(353\) | −8.66363 | + | 23.8031i | −0.461118 | + | 1.26691i | 0.463527 | + | 0.886083i | \(0.346584\pi\) |
−0.924645 | + | 0.380829i | \(0.875639\pi\) | |||||||
\(354\) | −8.02725 | − | 6.78332i | −0.426644 | − | 0.360529i | ||||
\(355\) | −31.9325 | + | 38.0557i | −1.69480 | + | 2.01979i | ||||
\(356\) | 8.33612 | + | 1.80073i | 0.441814 | + | 0.0954386i | ||||
\(357\) | 12.4595 | − | 2.73624i | 0.659427 | − | 0.144817i | ||||
\(358\) | 21.8818 | + | 27.1133i | 1.15649 | + | 1.43298i | ||||
\(359\) | −16.4990 | + | 28.5771i | −0.870783 | + | 1.50824i | −0.00959585 | + | 0.999954i | \(0.503054\pi\) |
−0.861188 | + | 0.508287i | \(0.830279\pi\) | |||||||
\(360\) | 17.2695 | − | 28.1893i | 0.910183 | − | 1.48570i | ||||
\(361\) | 2.38383 | + | 4.12891i | 0.125465 | + | 0.217311i | ||||
\(362\) | −18.6750 | − | 23.1398i | −0.981535 | − | 1.21620i | ||||
\(363\) | 7.16897 | + | 8.27733i | 0.376273 | + | 0.434447i | ||||
\(364\) | −18.6104 | − | 11.0497i | −0.975452 | − | 0.579160i | ||||
\(365\) | 51.3055 | + | 9.04655i | 2.68545 | + | 0.473518i | ||||
\(366\) | 26.7821 | − | 22.3148i | 1.39992 | − | 1.16641i | ||||
\(367\) | −14.5034 | + | 2.55735i | −0.757073 | + | 0.133492i | −0.538844 | − | 0.842405i | \(-0.681139\pi\) |
−0.218228 | + | 0.975898i | \(0.570028\pi\) | |||||||
\(368\) | 9.49695 | + | 0.727244i | 0.495063 | + | 0.0379102i | ||||
\(369\) | −19.9578 | + | 12.3703i | −1.03896 | + | 0.643971i | ||||
\(370\) | 36.4028 | + | 0.695627i | 1.89249 | + | 0.0361639i | ||||
\(371\) | 22.0835 | − | 8.69465i | 1.14652 | − | 0.451404i | ||||
\(372\) | 1.76903 | + | 3.23036i | 0.0917199 | + | 0.167487i | ||||
\(373\) | 5.41895 | − | 30.7324i | 0.280582 | − | 1.59126i | −0.440068 | − | 0.897964i | \(-0.645046\pi\) |
0.720651 | − | 0.693298i | \(-0.243843\pi\) | |||||||
\(374\) | −12.3478 | − | 10.7697i | −0.638490 | − | 0.556887i | ||||
\(375\) | 5.52964 | − | 34.5062i | 0.285549 | − | 1.78189i | ||||
\(376\) | −6.72701 | − | 9.01980i | −0.346919 | − | 0.465161i | ||||
\(377\) | 2.72354i | 0.140269i | ||||||||
\(378\) | −16.2903 | + | 10.6126i | −0.837882 | + | 0.545851i | ||||
\(379\) | − | 5.82132i | − | 0.299021i | −0.988760 | − | 0.149511i | \(-0.952230\pi\) | ||
0.988760 | − | 0.149511i | \(-0.0477698\pi\) | |||||||
\(380\) | −35.1742 | − | 14.3468i | −1.80440 | − | 0.735975i | ||||
\(381\) | −2.58454 | − | 2.10072i | −0.132410 | − | 0.107623i | ||||
\(382\) | −2.92210 | + | 3.35029i | −0.149508 | + | 0.171416i | ||||
\(383\) | 4.16512 | − | 23.6216i | 0.212828 | − | 1.20701i | −0.671809 | − | 0.740725i | \(-0.734482\pi\) |
0.884636 | − | 0.466281i | \(-0.154407\pi\) | |||||||
\(384\) | 19.4594 | + | 2.30918i | 0.993033 | + | 0.117840i | ||||
\(385\) | −33.5702 | − | 26.7122i | −1.71090 | − | 1.36138i | ||||
\(386\) | 0.275735 | − | 14.4295i | 0.0140346 | − | 0.734441i | ||||
\(387\) | −5.63146 | − | 0.812362i | −0.286263 | − | 0.0412947i | ||||
\(388\) | −5.39243 | + | 8.56652i | −0.273759 | + | 0.434899i | ||||
\(389\) | 4.19854 | − | 0.740316i | 0.212874 | − | 0.0375355i | −0.0661938 | − | 0.997807i | \(-0.521086\pi\) |
0.279068 | + | 0.960271i | \(0.409974\pi\) | |||||||
\(390\) | 38.4643 | − | 6.64463i | 1.94772 | − | 0.336464i | ||||
\(391\) | −6.52777 | − | 1.15102i | −0.330123 | − | 0.0582097i | ||||
\(392\) | 12.6460 | + | 15.2341i | 0.638722 | + | 0.769438i | ||||
\(393\) | 0.453820 | − | 1.31024i | 0.0228922 | − | 0.0660928i | ||||
\(394\) | −9.63669 | + | 7.77729i | −0.485490 | + | 0.391814i | ||||
\(395\) | −10.5134 | − | 18.2097i | −0.528984 | − | 0.916228i | ||||
\(396\) | 23.4060 | + | 8.70371i | 1.17620 | + | 0.437378i | ||||
\(397\) | −12.6626 | + | 21.9323i | −0.635518 | + | 1.10075i | 0.350888 | + | 0.936418i | \(0.385880\pi\) |
−0.986405 | + | 0.164331i | \(0.947453\pi\) | |||||||
\(398\) | −22.0515 | + | 17.7967i | −1.10534 | + | 0.892067i | ||||
\(399\) | 15.0606 | + | 16.5015i | 0.753973 | + | 0.826108i | ||||
\(400\) | 39.2111 | − | 10.9635i | 1.96056 | − | 0.548173i | ||||
\(401\) | −8.37448 | + | 9.98032i | −0.418202 | + | 0.498393i | −0.933480 | − | 0.358630i | \(-0.883244\pi\) |
0.515278 | + | 0.857023i | \(0.327689\pi\) | |||||||
\(402\) | −0.315269 | − | 0.0567202i | −0.0157242 | − | 0.00282894i | ||||
\(403\) | −1.48736 | + | 4.08649i | −0.0740907 | + | 0.203562i | ||||
\(404\) | −16.2241 | − | 10.2127i | −0.807178 | − | 0.508100i | ||||
\(405\) | 9.91003 | − | 33.6344i | 0.492433 | − | 1.67130i | ||||
\(406\) | 0.835931 | − | 2.34700i | 0.0414866 | − | 0.116480i | ||||
\(407\) | 4.77586 | + | 27.0853i | 0.236731 | + | 1.34257i | ||||
\(408\) | −13.3197 | − | 2.92571i | −0.659421 | − | 0.144844i | ||||
\(409\) | −1.54905 | + | 8.78511i | −0.0765957 | + | 0.434396i | 0.922260 | + | 0.386570i | \(0.126340\pi\) |
−0.998856 | + | 0.0478257i | \(0.984771\pi\) | |||||||
\(410\) | −42.3182 | − | 8.29847i | −2.08995 | − | 0.409832i | ||||
\(411\) | −19.3451 | + | 0.302455i | −0.954222 | + | 0.0149190i | ||||
\(412\) | 13.5208 | − | 1.85465i | 0.666123 | − | 0.0913720i | ||||
\(413\) | −3.60372 | + | 10.7644i | −0.177327 | + | 0.529680i | ||||
\(414\) | 9.92698 | − | 1.87513i | 0.487885 | − | 0.0921578i | ||||
\(415\) | − | 41.2467i | − | 2.02472i | ||||||
\(416\) | 13.1142 | + | 19.0626i | 0.642978 | + | 0.934619i | ||||
\(417\) | 12.1665 | − | 10.5374i | 0.595797 | − | 0.516018i | ||||
\(418\) | 5.52187 | − | 28.1589i | 0.270083 | − | 1.37730i | ||||
\(419\) | −1.06481 | + | 6.03885i | −0.0520195 | + | 0.295017i | −0.999708 | − | 0.0241806i | \(-0.992302\pi\) |
0.947688 | + | 0.319198i | \(0.103413\pi\) | |||||||
\(420\) | −35.1860 | − | 6.07980i | −1.71690 | − | 0.296664i | ||||
\(421\) | 5.46986 | − | 4.58976i | 0.266585 | − | 0.223691i | −0.499690 | − | 0.866204i | \(-0.666553\pi\) |
0.766275 | + | 0.642513i | \(0.222108\pi\) | |||||||
\(422\) | −14.7654 | + | 24.4820i | −0.718771 | + | 1.19177i | ||||
\(423\) | −9.37782 | − | 7.38188i | −0.455965 | − | 0.358919i | ||||
\(424\) | −25.3305 | − | 1.45355i | −1.23016 | − | 0.0705906i | ||||
\(425\) | −27.9039 | + | 4.92022i | −1.35354 | + | 0.238666i | ||||
\(426\) | −31.2335 | − | 0.108487i | −1.51327 | − | 0.00525621i | ||||
\(427\) | −33.0873 | − | 17.9721i | −1.60121 | − | 0.869733i | ||||
\(428\) | 26.5867 | + | 24.0984i | 1.28512 | + | 1.16484i | ||||
\(429\) | 10.5166 | + | 27.5464i | 0.507747 | + | 1.32995i | ||||
\(430\) | −6.56279 | − | 8.13182i | −0.316486 | − | 0.392151i | ||||
\(431\) | −16.6690 | + | 28.8715i | −0.802917 | + | 1.39069i | 0.114772 | + | 0.993392i | \(0.463386\pi\) |
−0.917688 | + | 0.397301i | \(0.869947\pi\) | |||||||
\(432\) | 20.5665 | − | 3.00334i | 0.989505 | − | 0.144498i | ||||
\(433\) | −34.9783 | −1.68095 | −0.840475 | − | 0.541850i | \(-0.817724\pi\) | ||||
−0.840475 | + | 0.541850i | \(0.817724\pi\) | |||||||
\(434\) | 2.53599 | − | 3.06501i | 0.121731 | − | 0.147125i | ||||
\(435\) | 1.60261 | + | 4.19775i | 0.0768391 | + | 0.201267i | ||||
\(436\) | −2.82819 | + | 13.0926i | −0.135446 | + | 0.627019i | ||||
\(437\) | −3.97044 | − | 10.9087i | −0.189932 | − | 0.521834i | ||||
\(438\) | 16.2786 | + | 28.4229i | 0.777821 | + | 1.35810i | ||||
\(439\) | 10.4721 | − | 1.84652i | 0.499807 | − | 0.0881295i | 0.0819394 | − | 0.996637i | \(-0.473889\pi\) |
0.417868 | + | 0.908508i | \(0.362778\pi\) | |||||||
\(440\) | 20.6185 | + | 40.9671i | 0.982947 | + | 1.95303i | ||||
\(441\) | 17.1542 | + | 12.1134i | 0.816866 | + | 0.576828i | ||||
\(442\) | −7.78319 | − | 14.0962i | −0.370208 | − | 0.670486i | ||||
\(443\) | −7.19710 | − | 2.61953i | −0.341945 | − | 0.124458i | 0.165339 | − | 0.986237i | \(-0.447128\pi\) |
−0.507284 | + | 0.861779i | \(0.669350\pi\) | |||||||
\(444\) | 14.3146 | + | 17.8635i | 0.679340 | + | 0.847766i | ||||
\(445\) | 12.7265 | + | 10.6788i | 0.603295 | + | 0.506224i | ||||
\(446\) | 6.17438 | − | 31.4864i | 0.292366 | − | 1.49092i | ||||
\(447\) | −22.7679 | + | 19.7192i | −1.07688 | + | 0.932684i | ||||
\(448\) | −5.45031 | − | 20.4522i | −0.257503 | − | 0.966278i | ||||
\(449\) | −24.9801 | − | 14.4222i | −1.17888 | − | 0.680628i | −0.223126 | − | 0.974790i | \(-0.571626\pi\) |
−0.955756 | + | 0.294162i | \(0.904959\pi\) | |||||||
\(450\) | 37.1338 | − | 22.0456i | 1.75050 | − | 1.03924i | ||||
\(451\) | − | 32.5753i | − | 1.53391i | ||||||
\(452\) | −0.463137 | + | 1.13548i | −0.0217841 | + | 0.0534084i | ||||
\(453\) | −13.3732 | − | 22.3487i | −0.628325 | − | 1.05003i | ||||
\(454\) | −6.65980 | − | 19.4459i | −0.312560 | − | 0.912639i | ||||
\(455\) | −22.0233 | − | 35.9523i | −1.03247 | − | 1.68547i | ||||
\(456\) | −7.22624 | − | 22.7641i | −0.338399 | − | 1.06603i | ||||
\(457\) | 6.02556 | − | 5.05604i | 0.281864 | − | 0.236512i | −0.490884 | − | 0.871225i | \(-0.663326\pi\) |
0.772748 | + | 0.634713i | \(0.218882\pi\) | |||||||
\(458\) | −26.6954 | + | 14.7399i | −1.24739 | + | 0.688748i | ||||
\(459\) | −14.4485 | + | 0.678138i | −0.674399 | + | 0.0316528i | ||||
\(460\) | 15.7022 | + | 9.88420i | 0.732121 | + | 0.460853i | ||||
\(461\) | 28.0788 | − | 4.95105i | 1.30776 | − | 0.230594i | 0.524033 | − | 0.851698i | \(-0.324427\pi\) |
0.783728 | + | 0.621104i | \(0.213316\pi\) | |||||||
\(462\) | −0.607882 | − | 26.9659i | −0.0282812 | − | 1.25457i | ||||
\(463\) | 11.5525 | + | 31.7401i | 0.536888 | + | 1.47509i | 0.850725 | + | 0.525612i | \(0.176163\pi\) |
−0.313836 | + | 0.949477i | \(0.601614\pi\) | |||||||
\(464\) | −1.86282 | + | 1.90364i | −0.0864791 | + | 0.0883744i | ||||
\(465\) | 0.112158 | + | 7.17365i | 0.00520120 | + | 0.332670i | ||||
\(466\) | −0.334599 | − | 2.13543i | −0.0155000 | − | 0.0989217i | ||||
\(467\) | 6.47959 | − | 11.2230i | 0.299839 | − | 0.519337i | −0.676260 | − | 0.736663i | \(-0.736400\pi\) |
0.976099 | + | 0.217326i | \(0.0697335\pi\) | |||||||
\(468\) | 18.6898 | + | 15.9052i | 0.863938 | + | 0.735218i | ||||
\(469\) | 0.0689237 | + | 0.339062i | 0.00318260 | + | 0.0156564i | ||||
\(470\) | −3.39309 | − | 21.6548i | −0.156511 | − | 0.998861i | ||||
\(471\) | 20.9633 | + | 24.2043i | 0.965936 | + | 1.11527i | ||||
\(472\) | 8.32022 | − | 8.83407i | 0.382969 | − | 0.406621i | ||||
\(473\) | 5.07388 | − | 6.04681i | 0.233297 | − | 0.278033i | ||||
\(474\) | 4.56460 | − | 12.4069i | 0.209659 | − | 0.569867i | ||||
\(475\) | −31.8974 | − | 38.0138i | −1.46355 | − | 1.74419i | ||||
\(476\) | 2.38063 | + | 14.5362i | 0.109116 | + | 0.666266i | ||||
\(477\) | −26.3434 | + | 5.49932i | −1.20618 | + | 0.251796i | ||||
\(478\) | 30.6207 | − | 16.9072i | 1.40056 | − | 0.773316i | ||||
\(479\) | 1.54094 | − | 1.29300i | 0.0704072 | − | 0.0590786i | −0.606905 | − | 0.794774i | \(-0.707589\pi\) |
0.677312 | + | 0.735696i | \(0.263145\pi\) | |||||||
\(480\) | 31.4297 | + | 21.6641i | 1.43456 | + | 0.988826i | ||||
\(481\) | −4.69354 | + | 26.6184i | −0.214007 | + | 1.21369i | ||||
\(482\) | −7.16272 | − | 1.40459i | −0.326253 | − | 0.0639772i | ||||
\(483\) | −5.84470 | − | 9.21470i | −0.265943 | − | 0.419284i | ||||
\(484\) | −9.98952 | + | 7.75160i | −0.454069 | + | 0.352346i | ||||
\(485\) | −17.0767 | + | 9.85922i | −0.775412 | + | 0.447684i | ||||
\(486\) | 20.2347 | − | 8.74961i | 0.917866 | − | 0.396890i | ||||
\(487\) | −21.8004 | − | 12.5864i | −0.987869 | − | 0.570346i | −0.0832323 | − | 0.996530i | \(-0.526524\pi\) |
−0.904637 | + | 0.426184i | \(0.859858\pi\) | |||||||
\(488\) | 24.0651 | + | 32.2673i | 1.08938 | + | 1.46067i | ||||
\(489\) | −3.57870 | − | 2.90878i | −0.161835 | − | 0.131539i | ||||
\(490\) | 7.94376 | + | 37.7414i | 0.358862 | + | 1.70498i | ||||
\(491\) | −2.37673 | − | 1.99431i | −0.107260 | − | 0.0900022i | 0.587580 | − | 0.809166i | \(-0.300081\pi\) |
−0.694841 | + | 0.719164i | \(0.744525\pi\) | |||||||
\(492\) | −13.0229 | − | 23.7807i | −0.587119 | − | 1.07212i | ||||
\(493\) | 1.41990 | − | 1.19144i | 0.0639490 | − | 0.0536596i | ||||
\(494\) | 14.5643 | − | 24.1486i | 0.655280 | − | 1.08650i | ||||
\(495\) | 32.4182 | + | 36.2687i | 1.45709 | + | 1.63016i | ||||
\(496\) | −3.83464 | + | 1.83898i | −0.172180 | + | 0.0825727i | ||||
\(497\) | 12.3591 | + | 31.3909i | 0.554382 | + | 1.40807i | ||||
\(498\) | 19.9233 | − | 16.6001i | 0.892786 | − | 0.743867i | ||||
\(499\) | 2.33168 | + | 6.40624i | 0.104380 | + | 0.286783i | 0.980878 | − | 0.194623i | \(-0.0623485\pi\) |
−0.876498 | + | 0.481406i | \(0.840126\pi\) | |||||||
\(500\) | 39.4430 | + | 8.52029i | 1.76394 | + | 0.381039i | ||||
\(501\) | 10.3117 | − | 29.7711i | 0.460691 | − | 1.33007i | ||||
\(502\) | −11.0686 | − | 13.7149i | −0.494016 | − | 0.612126i | ||||
\(503\) | 9.14395 | − | 15.8378i | 0.407709 | − | 0.706172i | −0.586924 | − | 0.809642i | \(-0.699661\pi\) |
0.994633 | + | 0.103470i | \(0.0329945\pi\) | |||||||
\(504\) | −11.2242 | − | 19.4427i | −0.499964 | − | 0.866046i | ||||
\(505\) | −18.6723 | − | 32.3414i | −0.830908 | − | 1.43917i | ||||
\(506\) | −5.04435 | + | 13.0763i | −0.224249 | + | 0.581313i | ||||
\(507\) | 0.101000 | + | 6.46001i | 0.00448558 | + | 0.286899i | ||||
\(508\) | 2.58280 | − | 2.84949i | 0.114593 | − | 0.126426i | ||||
\(509\) | −3.21230 | + | 3.82827i | −0.142383 | + | 0.169685i | −0.832523 | − | 0.553991i | \(-0.813104\pi\) |
0.690140 | + | 0.723676i | \(0.257549\pi\) | |||||||
\(510\) | −20.2907 | − | 17.1464i | −0.898487 | − | 0.759254i | ||||
\(511\) | 22.0285 | − | 27.6841i | 0.974483 | − | 1.22467i | ||||
\(512\) | −3.87190 | + | 22.2937i | −0.171115 | + | 0.985251i | ||||
\(513\) | −13.6808 | − | 21.3205i | −0.604021 | − | 0.941322i | ||||
\(514\) | −2.47344 | − | 4.47965i | −0.109099 | − | 0.197589i | ||||
\(515\) | 24.9818 | + | 9.09265i | 1.10083 | + | 0.400670i | ||||
\(516\) | 1.28665 | − | 6.44273i | 0.0566418 | − | 0.283626i | ||||
\(517\) | 15.5587 | − | 5.66292i | 0.684273 | − | 0.249055i | ||||
\(518\) | 12.2146 | − | 21.4977i | 0.536678 | − | 0.944557i | ||||
\(519\) | 4.27226 | − | 0.0667956i | 0.187531 | − | 0.00293200i | ||||
\(520\) | 5.27098 | + | 44.7634i | 0.231148 | + | 1.96300i | ||||
\(521\) | 39.3780i | 1.72518i | 0.505901 | + | 0.862592i | \(0.331160\pi\) | ||||
−0.505901 | + | 0.862592i | \(0.668840\pi\) | |||||||
\(522\) | −1.38265 | + | 2.46353i | −0.0605170 | + | 0.107826i | ||||
\(523\) | 13.1015i | 0.572891i | 0.958097 | + | 0.286445i | \(0.0924737\pi\) | ||||
−0.958097 | + | 0.286445i | \(0.907526\pi\) | |||||||
\(524\) | 1.48254 | + | 0.604695i | 0.0647649 | + | 0.0264162i | ||||
\(525\) | −36.9494 | − | 28.4691i | −1.61260 | − | 1.24249i | ||||
\(526\) | 2.51729 | − | 2.88616i | 0.109759 | − | 0.125843i | ||||
\(527\) | 2.78112 | − | 1.01225i | 0.121148 | − | 0.0440941i | ||||
\(528\) | −11.4902 | + | 26.4469i | −0.500048 | + | 1.15095i | ||||
\(529\) | −3.00931 | − | 17.0667i | −0.130840 | − | 0.742029i | ||||
\(530\) | −42.3232 | − | 25.5257i | −1.83840 | − | 1.10877i | ||||
\(531\) | 6.08412 | − | 11.3428i | 0.264028 | − | 0.492235i | ||||
\(532\) | −19.9626 | + | 16.3398i | −0.865490 | + | 0.708418i | ||||
\(533\) | 10.9494 | − | 30.0832i | 0.474270 | − | 1.30305i | ||||
\(534\) | −0.0362800 | + | 10.4450i | −0.00156999 | + | 0.452001i | ||||
\(535\) | 23.9072 | + | 65.6844i | 1.03360 | + | 2.83978i | ||||
\(536\) | 0.0849929 | − | 0.359988i | 0.00367114 | − | 0.0155491i | ||||
\(537\) | −26.9148 | + | 33.1136i | −1.16146 | + | 1.42896i | ||||
\(538\) | −36.2405 | − | 13.9802i | −1.56244 | − | 0.602730i | ||||
\(539\) | −26.8217 | + | 11.3745i | −1.15529 | + | 0.489936i | ||||
\(540\) | 38.1654 | + | 13.5168i | 1.64238 | + | 0.581671i | ||||
\(541\) | 14.3269 | + | 24.8149i | 0.615961 | + | 1.06688i | 0.990215 | + | 0.139549i | \(0.0445654\pi\) |
−0.374254 | + | 0.927326i | \(0.622101\pi\) | |||||||
\(542\) | −15.4409 | + | 12.4616i | −0.663242 | + | 0.535270i | ||||
\(543\) | 22.9704 | − | 28.2608i | 0.985754 | − | 1.21278i | ||||
\(544\) | 4.20121 | − | 15.1761i | 0.180125 | − | 0.650670i | ||||
\(545\) | −16.7719 | + | 19.9880i | −0.718431 | + | 0.856192i | ||||
\(546\) | 8.50254 | − | 25.1072i | 0.363875 | − | 1.07449i | ||||
\(547\) | 3.58656 | − | 9.85400i | 0.153350 | − | 0.421327i | −0.839099 | − | 0.543978i | \(-0.816917\pi\) |
0.992450 | + | 0.122651i | \(0.0391397\pi\) | |||||||
\(548\) | 0.853505 | − | 22.3242i | 0.0364599 | − | 0.953642i | ||||
\(549\) | 33.5481 | + | 26.4078i | 1.43180 | + | 1.12706i | ||||
\(550\) | −1.14465 | + | 59.9006i | −0.0488081 | + | 2.55417i | ||||
\(551\) | 3.05044 | + | 1.11027i | 0.129953 | + | 0.0472991i | ||||
\(552\) | 1.54514 | + | 11.5626i | 0.0657657 | + | 0.492137i | ||||
\(553\) | −14.2743 | + | 0.371390i | −0.607006 | + | 0.0157931i | ||||
\(554\) | −5.82667 | + | 6.68047i | −0.247551 | + | 0.283826i | ||||
\(555\) | 8.42893 | + | 43.7884i | 0.357788 | + | 1.85871i | ||||
\(556\) | 11.3938 | + | 14.6832i | 0.483203 | + | 0.622706i | ||||
\(557\) | −7.76924 | + | 4.48557i | −0.329193 | + | 0.190060i | −0.655483 | − | 0.755210i | \(-0.727535\pi\) |
0.326290 | + | 0.945270i | \(0.394202\pi\) | |||||||
\(558\) | −3.41994 | + | 2.94127i | −0.144778 | + | 0.124514i | ||||
\(559\) | 6.71819 | − | 3.87875i | 0.284149 | − | 0.164054i | ||||
\(560\) | 9.19688 | − | 40.1925i | 0.388639 | − | 1.69844i | ||||
\(561\) | 9.76056 | − | 17.5332i | 0.412091 | − | 0.740252i | ||||
\(562\) | 21.4436 | + | 18.7030i | 0.904544 | + | 0.788938i | ||||
\(563\) | 1.80166 | − | 10.2177i | 0.0759307 | − | 0.430625i | −0.923017 | − | 0.384759i | \(-0.874284\pi\) |
0.998948 | − | 0.0458652i | \(-0.0146045\pi\) | |||||||
\(564\) | 9.09431 | − | 10.3541i | 0.382940 | − | 0.435987i | ||||
\(565\) | −1.82995 | + | 1.53551i | −0.0769864 | + | 0.0645992i | ||||
\(566\) | 1.60736 | − | 2.66510i | 0.0675623 | − | 0.112023i | ||||
\(567\) | −16.8590 | − | 16.8159i | −0.708011 | − | 0.706201i | ||||
\(568\) | 2.06617 | − | 36.0063i | 0.0866944 | − | 1.51079i | ||||
\(569\) | −20.3836 | − | 24.2923i | −0.854527 | − | 1.01839i | −0.999581 | − | 0.0289614i | \(-0.990780\pi\) |
0.145054 | − | 0.989424i | \(-0.453664\pi\) | |||||||
\(570\) | 8.23808 | − | 45.7899i | 0.345055 | − | 1.91793i | ||||
\(571\) | −23.9566 | − | 4.22419i | −1.00255 | − | 0.176777i | −0.351806 | − | 0.936073i | \(-0.614432\pi\) |
−0.650745 | + | 0.759296i | \(0.725543\pi\) | |||||||
\(572\) | −32.4154 | + | 10.4140i | −1.35535 | + | 0.435431i | ||||
\(573\) | −4.75722 | − | 2.64830i | −0.198736 | − | 0.110634i | ||||
\(574\) | −18.6690 | + | 22.5634i | −0.779228 | + | 0.941779i | ||||
\(575\) | 12.1188 | + | 20.9903i | 0.505387 | + | 0.875357i | ||||
\(576\) | 2.18478 | + | 23.9004i | 0.0910325 | + | 0.995848i | ||||
\(577\) | 12.0911 | + | 20.9424i | 0.503359 | + | 0.871843i | 0.999992 | + | 0.00388258i | \(0.00123587\pi\) |
−0.496634 | + | 0.867960i | \(0.665431\pi\) | |||||||
\(578\) | 4.70874 | − | 12.2063i | 0.195858 | − | 0.507716i | ||||
\(579\) | 17.3570 | − | 3.34109i | 0.721332 | − | 0.138851i | ||||
\(580\) | −4.93972 | + | 1.58697i | −0.205111 | + | 0.0658954i | ||||
\(581\) | −24.6138 | − | 13.3696i | −1.02115 | − | 0.554663i | ||||
\(582\) | −11.6349 | − | 4.28059i | −0.482284 | − | 0.177436i | ||||
\(583\) | 12.7692 | − | 35.0832i | 0.528848 | − | 1.45300i | ||||
\(584\) | −33.7840 | + | 17.0033i | −1.39799 | + | 0.703600i | ||||
\(585\) | 17.7473 | + | 44.3905i | 0.733759 | + | 1.83532i | ||||
\(586\) | 8.63734 | + | 15.6431i | 0.356805 | + | 0.646211i | ||||
\(587\) | 4.36298 | + | 1.58800i | 0.180080 | + | 0.0655436i | 0.430486 | − | 0.902597i | \(-0.358342\pi\) |
−0.250407 | + | 0.968141i | \(0.580564\pi\) | |||||||
\(588\) | −15.0332 | + | 19.0264i | −0.619957 | + | 0.784636i | ||||
\(589\) | 3.97065 | + | 3.33177i | 0.163608 | + | 0.137283i | ||||
\(590\) | 22.3644 | − | 7.65934i | 0.920728 | − | 0.315330i | ||||
\(591\) | −11.7693 | − | 9.56613i | −0.484126 | − | 0.393498i | ||||
\(592\) | −21.4868 | + | 15.3949i | −0.883100 | + | 0.632728i | ||||
\(593\) | 18.7268 | − | 10.8119i | 0.769017 | − | 0.443992i | −0.0635067 | − | 0.997981i | \(-0.520228\pi\) |
0.832524 | + | 0.553989i | \(0.186895\pi\) | |||||||
\(594\) | −4.47183 | + | 30.2556i | −0.183481 | + | 1.24140i | ||||
\(595\) | −9.10921 | + | 27.2094i | −0.373441 | + | 1.11548i | ||||
\(596\) | −21.3218 | − | 27.4774i | −0.873374 | − | 1.12552i | ||||
\(597\) | −26.9316 | − | 21.8901i | −1.10224 | − | 0.895901i | ||||
\(598\) | −9.05370 | + | 10.3804i | −0.370233 | + | 0.424485i | ||||
\(599\) | −28.0768 | + | 10.2191i | −1.14719 | + | 0.417542i | −0.844504 | − | 0.535549i | \(-0.820105\pi\) |
−0.302684 | + | 0.953091i | \(0.597883\pi\) | |||||||
\(600\) | 23.1114 | + | 44.1863i | 0.943517 | + | 1.80390i | ||||
\(601\) | −2.49170 | − | 0.906904i | −0.101638 | − | 0.0369934i | 0.290700 | − | 0.956814i | \(-0.406112\pi\) |
−0.392339 | + | 0.919821i | \(0.628334\pi\) | |||||||
\(602\) | −6.97988 | + | 1.28050i | −0.284478 | + | 0.0521892i | ||||
\(603\) | −0.0122647 | − | 0.392131i | −0.000499458 | − | 0.0159688i | ||||
\(604\) | 26.5997 | − | 14.0307i | 1.08233 | − | 0.570901i | ||||
\(605\) | −24.2568 | + | 4.27713i | −0.986180 | + | 0.173890i | ||||
\(606\) | 8.10700 | − | 22.0353i | 0.329324 | − | 0.895125i | ||||
\(607\) | 6.50329 | + | 17.8676i | 0.263960 | + | 0.725225i | 0.998891 | + | 0.0470830i | \(0.0149925\pi\) |
−0.734931 | + | 0.678142i | \(0.762785\pi\) | |||||||
\(608\) | 26.6967 | − | 6.91732i | 1.08270 | − | 0.280534i | ||||
\(609\) | 3.02446 | + | 0.404295i | 0.122557 | + | 0.0163828i | ||||
\(610\) | 12.1384 | + | 77.4676i | 0.491469 | + | 3.13657i | ||||
\(611\) | 16.2719 | 0.658290 | ||||||||
\(612\) | 0.116025 | − | 16.7017i | 0.00469004 | − | 0.675126i | ||||
\(613\) | −13.8130 | −0.557903 | −0.278952 | − | 0.960305i | \(-0.589987\pi\) | ||||
−0.278952 | + | 0.960305i | \(0.589987\pi\) | |||||||
\(614\) | −26.1349 | − | 10.0819i | −1.05472 | − | 0.406870i | ||||
\(615\) | −0.825665 | − | 52.8097i | −0.0332940 | − | 2.12949i | ||||
\(616\) | 31.1302 | + | 0.974954i | 1.25427 | + | 0.0392820i | ||||
\(617\) | 9.29920 | + | 25.5493i | 0.374372 | + | 1.02858i | 0.973652 | + | 0.228039i | \(0.0732312\pi\) |
−0.599280 | + | 0.800539i | \(0.704547\pi\) | |||||||
\(618\) | 5.66214 | + | 15.7264i | 0.227765 | + | 0.632607i | ||||
\(619\) | −9.49220 | + | 26.0796i | −0.381524 | + | 1.04823i | 0.589191 | + | 0.807994i | \(0.299447\pi\) |
−0.970715 | + | 0.240234i | \(0.922776\pi\) | |||||||
\(620\) | −8.27838 | − | 0.316502i | −0.332468 | − | 0.0127110i | ||||
\(621\) | 4.77227 | + | 11.4156i | 0.191505 | + | 0.458094i | ||||
\(622\) | 25.7969 | + | 15.5585i | 1.03436 | + | 0.623838i | ||||
\(623\) | 10.4977 | − | 4.13311i | 0.420580 | − | 0.165590i | ||||
\(624\) | −19.5006 | + | 20.5614i | −0.780650 | + | 0.823116i | ||||
\(625\) | 21.2296 | + | 17.8137i | 0.849182 | + | 0.712548i | ||||
\(626\) | −32.8157 | − | 6.43506i | −1.31158 | − | 0.257197i | ||||
\(627\) | 35.1400 | − | 0.549404i | 1.40336 | − | 0.0219411i | ||||
\(628\) | −29.2110 | + | 22.6670i | −1.16565 | + | 0.904510i | ||||
\(629\) | 15.9305 | − | 9.19751i | 0.635193 | − | 0.366729i | ||||
\(630\) | −1.66896 | − | 43.7005i | −0.0664929 | − | 1.74107i | ||||
\(631\) | −5.88940 | − | 3.40025i | −0.234453 | − | 0.135362i | 0.378171 | − | 0.925736i | \(-0.376553\pi\) |
−0.612625 | + | 0.790374i | \(0.709886\pi\) | |||||||
\(632\) | 14.0218 | + | 6.03416i | 0.557757 | + | 0.240026i | ||||
\(633\) | −33.0870 | − | 11.4602i | −1.31509 | − | 0.455500i | ||||
\(634\) | −0.0560579 | + | 0.0191987i | −0.00222635 | + | 0.000762477i | ||||
\(635\) | 7.03987 | − | 2.56230i | 0.279369 | − | 0.101682i | ||||
\(636\) | −4.70369 | − | 30.7164i | −0.186514 | − | 1.21798i | ||||
\(637\) | −28.5930 | + | 1.48888i | −1.13290 | + | 0.0589915i | ||||
\(638\) | −1.89441 | − | 3.43096i | −0.0750002 | − | 0.135833i | ||||
\(639\) | −7.81707 | − | 37.4461i | −0.309239 | − | 1.48134i | ||||
\(640\) | −26.9325 | + | 34.8930i | −1.06460 | + | 1.37926i | ||||
\(641\) | 16.2604 | + | 19.3784i | 0.642248 | + | 0.765401i | 0.984723 | − | 0.174125i | \(-0.0557098\pi\) |
−0.342476 | + | 0.939527i | \(0.611265\pi\) | |||||||
\(642\) | −22.1058 | + | 37.9831i | −0.872446 | + | 1.49907i | ||||
\(643\) | 3.89097 | − | 4.63708i | 0.153445 | − | 0.182868i | −0.683846 | − | 0.729627i | \(-0.739694\pi\) |
0.837291 | + | 0.546758i | \(0.184138\pi\) | |||||||
\(644\) | 10.9880 | − | 6.16643i | 0.432989 | − | 0.242991i | ||||
\(645\) | 8.07228 | − | 9.93143i | 0.317846 | − | 0.391050i | ||||
\(646\) | −18.9610 | + | 2.97099i | −0.746010 | + | 0.116892i | ||||
\(647\) | 7.42869 | − | 12.8669i | 0.292052 | − | 0.505849i | −0.682243 | − | 0.731126i | \(-0.738995\pi\) |
0.974295 | + | 0.225277i | \(0.0723287\pi\) | |||||||
\(648\) | 8.83100 | + | 23.8750i | 0.346914 | + | 0.937897i | ||||
\(649\) | 8.92850 | + | 15.4646i | 0.350474 | + | 0.607039i | ||||
\(650\) | −21.1912 | + | 54.9332i | −0.831185 | + | 2.15466i | ||||
\(651\) | 4.31721 | + | 2.25831i | 0.169205 | + | 0.0885102i | ||||
\(652\) | 3.57630 | − | 3.94557i | 0.140059 | − | 0.154520i | ||||
\(653\) | −0.751903 | − | 0.132581i | −0.0294242 | − | 0.00518828i | 0.158917 | − | 0.987292i | \(-0.449200\pi\) |
−0.188341 | + | 0.982104i | \(0.560311\pi\) | |||||||
\(654\) | −16.4048 | − | 0.0569806i | −0.641478 | − | 0.00222812i | ||||
\(655\) | 2.00483 | + | 2.38927i | 0.0783353 | + | 0.0933564i | ||||
\(656\) | 28.2291 | − | 13.5379i | 1.10216 | − | 0.528565i | ||||
\(657\) | −29.9094 | + | 26.7341i | −1.16688 | + | 1.04299i | ||||
\(658\) | −14.0223 | − | 4.99430i | −0.546644 | − | 0.194698i | ||||
\(659\) | 4.48244 | − | 3.76122i | 0.174611 | − | 0.146516i | −0.551294 | − | 0.834311i | \(-0.685866\pi\) |
0.725905 | + | 0.687795i | \(0.241421\pi\) | |||||||
\(660\) | −43.8335 | + | 35.1251i | −1.70621 | + | 1.36724i | ||||
\(661\) | −20.9188 | − | 17.5529i | −0.813646 | − | 0.682730i | 0.137829 | − | 0.990456i | \(-0.455987\pi\) |
−0.951475 | + | 0.307726i | \(0.900432\pi\) | |||||||
\(662\) | −17.5975 | + | 6.02677i | −0.683946 | + | 0.234237i | ||||
\(663\) | 14.9072 | − | 12.9111i | 0.578947 | − | 0.501424i | ||||
\(664\) | 17.9022 | + | 24.0038i | 0.694738 | + | 0.931528i | ||||
\(665\) | −49.2456 | + | 10.0105i | −1.90966 | + | 0.388192i | ||||
\(666\) | −17.7587 | + | 21.6944i | −0.688137 | + | 0.840641i | ||||
\(667\) | −1.37312 | − | 0.792771i | −0.0531674 | − | 0.0306962i | ||||
\(668\) | 33.6860 | + | 13.7398i | 1.30335 | + | 0.531609i | ||||
\(669\) | 39.2925 | − | 0.614326i | 1.51913 | − | 0.0237512i | ||||
\(670\) | 0.473612 | − | 0.543013i | 0.0182972 | − | 0.0209784i | ||||
\(671\) | −55.6597 | + | 20.2585i | −2.14872 | + | 0.782069i | ||||
\(672\) | 23.1155 | − | 11.7335i | 0.891700 | − | 0.452628i | ||||
\(673\) | −4.59125 | − | 26.0383i | −0.176980 | − | 1.00370i | −0.935834 | − | 0.352442i | \(-0.885352\pi\) |
0.758854 | − | 0.651261i | \(-0.225760\pi\) | |||||||
\(674\) | 0.608382 | − | 31.8372i | 0.0234340 | − | 1.22632i | ||||
\(675\) | 35.8594 | + | 38.8779i | 1.38023 | + | 1.49641i | ||||
\(676\) | −7.45484 | − | 0.285016i | −0.286725 | − | 0.0109621i | ||||
\(677\) | 13.4529 | + | 16.0325i | 0.517035 | + | 0.616179i | 0.959877 | − | 0.280421i | \(-0.0904741\pi\) |
−0.442842 | + | 0.896600i | \(0.646030\pi\) | |||||||
\(678\) | −1.47817 | − | 0.265939i | −0.0567688 | − | 0.0102133i | ||||
\(679\) | 0.348282 | + | 13.3862i | 0.0133659 | + | 0.513714i | ||||
\(680\) | 21.0312 | − | 22.3301i | 0.806511 | − | 0.856321i | ||||
\(681\) | 21.6021 | − | 12.9264i | 0.827793 | − | 0.495340i | ||||
\(682\) | −0.968734 | − | 6.18249i | −0.0370947 | − | 0.236740i | ||||
\(683\) | 21.4966 | 0.822546 | 0.411273 | − | 0.911512i | \(-0.365084\pi\) | ||||
0.411273 | + | 0.911512i | \(0.365084\pi\) | |||||||
\(684\) | 25.4333 | − | 14.4493i | 0.972467 | − | 0.552483i | ||||
\(685\) | 21.7596 | − | 37.6887i | 0.831391 | − | 1.44001i | ||||
\(686\) | 25.0969 | + | 7.49296i | 0.958205 | + | 0.286083i | ||||
\(687\) | −24.4511 | − | 28.2313i | −0.932866 | − | 1.07709i | ||||
\(688\) | 7.34868 | + | 1.88395i | 0.280166 | + | 0.0718248i | ||||
\(689\) | 23.5847 | − | 28.1071i | 0.898504 | − | 1.07080i | ||||
\(690\) | −7.84624 | + | 21.3266i | −0.298701 | + | 0.811889i | ||||
\(691\) | 3.43222 | − | 9.42996i | 0.130568 | − | 0.358733i | −0.857131 | − | 0.515098i | \(-0.827756\pi\) |
0.987699 | + | 0.156365i | \(0.0499778\pi\) | |||||||
\(692\) | −0.188492 | + | 4.93018i | −0.00716540 | + | 0.187417i | ||||
\(693\) | 32.1511 | − | 7.58945i | 1.22132 | − | 0.288299i | ||||
\(694\) | 0.417511 | − | 21.8487i | 0.0158485 | − | 0.829367i | ||||
\(695\) | 6.28678 | + | 35.6541i | 0.238471 | + | 1.35244i | ||||
\(696\) | −2.75458 | − | 1.74734i | −0.104412 | − | 0.0662326i | ||||
\(697\) | −20.4736 | + | 7.45177i | −0.775492 | + | 0.282256i | ||||
\(698\) | −5.85546 | − | 17.0973i | −0.221632 | − | 0.647141i | ||||
\(699\) | 2.47315 | − | 0.944195i | 0.0935433 | − | 0.0357127i | ||||
\(700\) | 35.1220 | − | 40.8343i | 1.32749 | − | 1.54339i | ||||
\(701\) | 1.83466i | 0.0692943i | 0.999400 | + | 0.0346472i | \(0.0110307\pi\) | ||||
−0.999400 | + | 0.0346472i | \(0.988969\pi\) | |||||||
\(702\) | −14.2994 | + | 26.4378i | −0.539694 | + | 0.997830i | ||||
\(703\) | 27.9000 | + | 16.1081i | 1.05227 | + | 0.607528i | ||||
\(704\) | −29.7799 | − | 14.8921i | −1.12237 | − | 0.561269i | ||||
\(705\) | 25.0796 | − | 9.57484i | 0.944553 | − | 0.360609i | ||||
\(706\) | 6.89350 | − | 35.1536i | 0.259440 | − | 1.32302i | ||||
\(707\) | −25.3520 | + | 0.659610i | −0.953461 | + | 0.0248072i | ||||
\(708\) | 12.7004 | + | 7.72008i | 0.477311 | + | 0.290138i | ||||
\(709\) | 5.02741 | + | 28.5119i | 0.188808 | + | 1.07079i | 0.920964 | + | 0.389648i | \(0.127403\pi\) |
−0.732156 | + | 0.681137i | \(0.761486\pi\) | |||||||
\(710\) | 36.2838 | − | 60.1609i | 1.36171 | − | 2.25780i | ||||
\(711\) | 16.0252 | + | 2.31170i | 0.600990 | + | 0.0866955i | ||||
\(712\) | −12.0412 | − | 0.690963i | −0.451262 | − | 0.0258949i | ||||
\(713\) | −1.62733 | − | 1.93938i | −0.0609440 | − | 0.0726303i | ||||
\(714\) | −16.8090 | + | 6.55064i | −0.629061 | + | 0.245151i | ||||
\(715\) | −65.3161 | − | 11.5170i | −2.44268 | − | 0.430711i | ||||
\(716\) | −36.5082 | − | 33.0914i | −1.36438 | − | 1.23668i | ||||
\(717\) | 28.0463 | + | 32.3824i | 1.04741 | + | 1.20934i | ||||
\(718\) | 16.7957 | − | 43.5389i | 0.626809 | − | 1.62486i | ||||
\(719\) | 31.4616 | 1.17332 | 0.586659 | − | 0.809834i | \(-0.300443\pi\) | ||||
0.586659 | + | 0.809834i | \(0.300443\pi\) | |||||||
\(720\) | −17.9571 | + | 43.1657i | −0.669222 | + | 1.60869i | ||||
\(721\) | 13.5235 | − | 11.9606i | 0.503643 | − | 0.445435i | ||||
\(722\) | −4.23451 | − | 5.24690i | −0.157592 | − | 0.195269i | ||||
\(723\) | −0.139751 | − | 8.93849i | −0.00519739 | − | 0.332426i | ||||
\(724\) | 31.1579 | + | 28.2418i | 1.15797 | + | 1.04960i | ||||
\(725\) | −6.67467 | − | 1.17692i | −0.247891 | − | 0.0437099i | ||||
\(726\) | −11.8283 | − | 9.99537i | −0.438991 | − | 0.370963i | ||||
\(727\) | 43.0438 | − | 7.58979i | 1.59641 | − | 0.281490i | 0.696495 | − | 0.717561i | \(-0.254742\pi\) |
0.899912 | + | 0.436072i | \(0.143631\pi\) | |||||||
\(728\) | 28.4209 | + | 11.3640i | 1.05335 | + | 0.421178i | ||||
\(729\) | 15.6307 | + | 22.0154i | 0.578917 | + | 0.815387i | ||||
\(730\) | −73.6628 | − | 1.40764i | −2.72638 | − | 0.0520989i | ||||
\(731\) | −4.96109 | − | 1.80569i | −0.183493 | − | 0.0667858i | ||||
\(732\) | −32.5339 | + | 37.0407i | −1.20249 | + | 1.36906i | ||||
\(733\) | 22.9204 | + | 19.2325i | 0.846585 | + | 0.710369i | 0.959035 | − | 0.283288i | \(-0.0914252\pi\) |
−0.112450 | + | 0.993657i | \(0.535870\pi\) | |||||||
\(734\) | 19.7038 | − | 6.74815i | 0.727282 | − | 0.249079i | ||||
\(735\) | −43.1939 | + | 19.1197i | −1.59323 | + | 0.705241i | ||||
\(736\) | −13.4280 | + | 1.06301i | −0.494964 | + | 0.0391830i | ||||
\(737\) | 0.471361 | + | 0.272140i | 0.0173628 | + | 0.0100244i | ||||
\(738\) | 25.1763 | − | 21.6525i | 0.926753 | − | 0.797041i | ||||
\(739\) | −13.5104 | + | 7.80022i | −0.496987 | + | 0.286936i | −0.727468 | − | 0.686141i | \(-0.759303\pi\) |
0.230481 | + | 0.973077i | \(0.425970\pi\) | |||||||
\(740\) | −51.0130 | + | 6.99745i | −1.87528 | + | 0.257231i | ||||
\(741\) | 32.6363 | + | 11.3041i | 1.19892 | + | 0.415265i | ||||
\(742\) | −28.9509 | + | 16.9824i | −1.06282 | + | 0.623445i | ||||
\(743\) | −4.67648 | + | 26.5216i | −0.171563 | + | 0.972984i | 0.770473 | + | 0.637473i | \(0.220020\pi\) |
−0.942036 | + | 0.335511i | \(0.891091\pi\) | |||||||
\(744\) | −3.17883 | − | 4.12607i | −0.116541 | − | 0.151269i | ||||
\(745\) | −11.7648 | − | 66.7214i | −0.431028 | − | 2.44448i | ||||
\(746\) | −0.843184 | + | 44.1246i | −0.0308712 | + | 1.61552i | ||||
\(747\) | 24.9566 | + | 19.6449i | 0.913113 | + | 0.718769i | ||||
\(748\) | 19.6097 | + | 12.3438i | 0.717000 | + | 0.451335i | ||||
\(749\) | 46.9461 | + | 7.02419i | 1.71537 | + | 0.256658i | ||||
\(750\) | −0.171661 | + | 49.4215i | −0.00626819 | + | 1.80462i | ||||
\(751\) | −34.4848 | − | 6.08060i | −1.25837 | − | 0.221884i | −0.495597 | − | 0.868553i | \(-0.665051\pi\) |
−0.762771 | + | 0.646669i | \(0.776162\pi\) | |||||||
\(752\) | 11.3734 | + | 11.1295i | 0.414745 | + | 0.405850i | ||||
\(753\) | 13.6145 | − | 16.7501i | 0.496140 | − | 0.610407i | ||||
\(754\) | −0.596242 | − | 3.80524i | −0.0217139 | − | 0.138579i | ||||
\(755\) | 58.5828 | 2.13205 | ||||||||
\(756\) | 20.4369 | − | 18.3938i | 0.743284 | − | 0.668976i | ||||
\(757\) | 5.58419 | 0.202961 | 0.101480 | − | 0.994838i | \(-0.467642\pi\) | ||||
0.101480 | + | 0.994838i | \(0.467642\pi\) | |||||||
\(758\) | 1.27441 | + | 8.13335i | 0.0462888 | + | 0.295417i | ||||
\(759\) | −16.9492 | − | 2.71612i | −0.615217 | − | 0.0985888i | ||||
\(760\) | 52.2850 | + | 12.3444i | 1.89658 | + | 0.447780i | ||||
\(761\) | −0.608474 | − | 0.107290i | −0.0220572 | − | 0.00388927i | 0.162609 | − | 0.986691i | \(-0.448009\pi\) |
−0.184666 | + | 0.982801i | \(0.559120\pi\) | |||||||
\(762\) | 4.07092 | + | 2.36924i | 0.147474 | + | 0.0858285i | ||||
\(763\) | 6.49138 | + | 16.4874i | 0.235004 | + | 0.596885i | ||||
\(764\) | 3.34921 | − | 5.32062i | 0.121170 | − | 0.192493i | ||||
\(765\) | 15.3790 | − | 28.6714i | 0.556029 | − | 1.03662i | ||||
\(766\) | −0.648089 | + | 33.9151i | −0.0234164 | + | 1.22540i | ||||
\(767\) | 3.04739 | + | 17.2826i | 0.110035 | + | 0.624038i | ||||
\(768\) | −27.6935 | + | 1.03377i | −0.999304 | + | 0.0373029i | ||||
\(769\) | −4.85604 | + | 27.5399i | −0.175113 | + | 0.993116i | 0.762900 | + | 0.646516i | \(0.223775\pi\) |
−0.938013 | + | 0.346599i | \(0.887336\pi\) | |||||||
\(770\) | 52.7511 | + | 29.9721i | 1.90102 | + | 1.08012i | ||||
\(771\) | 4.73739 | − | 4.10303i | 0.170613 | − | 0.147767i | ||||
\(772\) | 2.77368 | + | 20.2207i | 0.0998268 | + | 0.727760i | ||||
\(773\) | −18.3914 | + | 10.6183i | −0.661492 | + | 0.381913i | −0.792845 | − | 0.609423i | \(-0.791401\pi\) |
0.131353 | + | 0.991336i | \(0.458068\pi\) | |||||||
\(774\) | 8.04592 | − | 0.0978436i | 0.289205 | − | 0.00351692i | ||||
\(775\) | −9.37216 | − | 5.41102i | −0.336658 | − | 0.194370i | ||||
\(776\) | 5.65872 | − | 13.1494i | 0.203136 | − | 0.472035i | ||||
\(777\) | 28.8627 | + | 9.16348i | 1.03544 | + | 0.328738i | ||||
\(778\) | −5.70399 | + | 1.95350i | −0.204498 | + | 0.0700362i | ||||
\(779\) | −29.2304 | − | 24.5272i | −1.04729 | − | 0.878780i | ||||
\(780\) | −52.2864 | + | 17.7043i | −1.87215 | + | 0.633917i | ||||
\(781\) | 49.8694 | + | 18.1510i | 1.78447 | + | 0.649493i | ||||
\(782\) | 9.37236 | + | 0.179098i | 0.335155 | + | 0.00640453i | ||||
\(783\) | −3.30316 | − | 1.02963i | −0.118045 | − | 0.0367960i | ||||
\(784\) | −21.0037 | − | 18.5161i | −0.750132 | − | 0.661288i | ||||
\(785\) | −70.9309 | + | 12.5070i | −2.53163 | + | 0.446395i | ||||
\(786\) | −0.347223 | + | 1.92997i | −0.0123850 | + | 0.0688398i | ||||
\(787\) | −2.73316 | − | 0.481931i | −0.0974268 | − | 0.0171790i | 0.124722 | − | 0.992192i | \(-0.460196\pi\) |
−0.222149 | + | 0.975013i | \(0.571307\pi\) | |||||||
\(788\) | 11.7614 | − | 12.9758i | 0.418984 | − | 0.462246i | ||||
\(789\) | 4.09818 | + | 2.28142i | 0.145899 | + | 0.0812207i | ||||
\(790\) | 18.6754 | + | 23.1403i | 0.664441 | + | 0.823296i | ||||
\(791\) | 0.323156 | + | 1.58973i | 0.0114901 | + | 0.0565242i | ||||
\(792\) | −34.6076 | − | 7.03644i | −1.22973 | − | 0.250029i | ||||
\(793\) | −58.2108 | −2.06713 | ||||||||
\(794\) | 12.8903 | − | 33.4151i | 0.457460 | − | 1.18586i | ||||
\(795\) | 19.8117 | − | 57.1990i | 0.702648 | − | 2.02864i | ||||
\(796\) | 26.9136 | − | 29.6925i | 0.953926 | − | 1.05242i | ||||
\(797\) | −51.3870 | − | 9.06092i | −1.82022 | − | 0.320954i | −0.843773 | − | 0.536700i | \(-0.819671\pi\) |
−0.976450 | + | 0.215746i | \(0.930782\pi\) | |||||||
\(798\) | −24.6547 | − | 19.7582i | −0.872767 | − | 0.699434i | ||||
\(799\) | −7.11828 | − | 8.48324i | −0.251827 | − | 0.300115i | ||||
\(800\) | −52.3843 | + | 23.9020i | −1.85207 | + | 0.845062i | ||||
\(801\) | −12.5226 | + | 2.61417i | −0.442466 | + | 0.0923671i | ||||
\(802\) | 9.51563 | − | 15.7775i | 0.336009 | − | 0.557124i | ||||
\(803\) | −9.66419 | − | 54.8084i | −0.341042 | − | 1.93415i | ||||
\(804\) | 0.452900 | + | 0.0102283i | 0.0159725 | + | 0.000360725i | ||||
\(805\) | 24.5366 | − | 0.638394i | 0.864801 | − | 0.0225004i | ||||
\(806\) | 1.18347 | − | 6.03512i | 0.0416859 | − | 0.212578i | ||||
\(807\) | 7.52762 | − | 46.9741i | 0.264985 | − | 1.65357i | ||||
\(808\) | 24.9035 | + | 10.7170i | 0.876103 | + | 0.377023i | ||||
\(809\) | −14.5294 | − | 8.38857i | −0.510827 | − | 0.294926i | 0.222346 | − | 0.974968i | \(-0.428628\pi\) |
−0.733174 | + | 0.680041i | \(0.761962\pi\) | |||||||
\(810\) | −6.48266 | + | 49.1623i | −0.227777 | + | 1.72739i | ||||
\(811\) | − | 33.2486i | − | 1.16752i | −0.811928 | − | 0.583758i | \(-0.801582\pi\) | ||
0.811928 | − | 0.583758i | \(-0.198418\pi\) | |||||||
\(812\) | −0.654124 | + | 3.46216i | −0.0229553 | + | 0.121498i | ||||
\(813\) | −18.8580 | − | 15.3278i | −0.661379 | − | 0.537570i | ||||
\(814\) | −12.6022 | − | 36.7971i | −0.441708 | − | 1.28974i | ||||
\(815\) | 9.74782 | − | 3.54792i | 0.341451 | − | 0.124278i | ||||
\(816\) | 19.2503 | + | 1.17174i | 0.673895 | + | 0.0410193i | ||||
\(817\) | −1.60559 | − | 9.10576i | −0.0561725 | − | 0.318570i | ||||
\(818\) | 0.241031 | − | 12.6134i | 0.00842746 | − | 0.441017i | ||||
\(819\) | 32.2424 | + | 3.79797i | 1.12664 | + | 0.132712i | ||||
\(820\) | 60.9423 | + | 2.32997i | 2.12820 | + | 0.0813659i | ||||
\(821\) | 8.53887 | − | 23.4604i | 0.298009 | − | 0.818772i | −0.696824 | − | 0.717242i | \(-0.745404\pi\) |
0.994833 | − | 0.101530i | \(-0.0323737\pi\) | |||||||
\(822\) | 26.9621 | − | 4.65763i | 0.940410 | − | 0.162454i | ||||
\(823\) | 27.3750 | − | 32.6243i | 0.954234 | − | 1.13721i | −0.0362166 | − | 0.999344i | \(-0.511531\pi\) |
0.990451 | − | 0.137868i | \(-0.0440249\pi\) | |||||||
\(824\) | −18.4848 | + | 5.55125i | −0.643948 | + | 0.193387i | ||||
\(825\) | −72.0535 | + | 13.8698i | −2.50858 | + | 0.482883i | ||||
\(826\) | 2.67844 | − | 15.8286i | 0.0931947 | − | 0.550746i | ||||
\(827\) | −2.59253 | + | 4.49040i | −0.0901512 | + | 0.156146i | −0.907575 | − | 0.419891i | \(-0.862068\pi\) |
0.817423 | + | 0.576037i | \(0.195402\pi\) | |||||||
\(828\) | −13.4591 | + | 4.79311i | −0.467737 | + | 0.166572i | ||||
\(829\) | −15.3864 | −0.534393 | −0.267196 | − | 0.963642i | \(-0.586097\pi\) | ||||
−0.267196 | + | 0.963642i | \(0.586097\pi\) | |||||||
\(830\) | 9.02980 | + | 57.6285i | 0.313429 | + | 2.00031i | ||||
\(831\) | −9.48590 | − | 5.28071i | −0.329062 | − | 0.183186i | ||||
\(832\) | −22.4960 | − | 23.7626i | −0.779907 | − | 0.823820i | ||||
\(833\) | 13.2845 | + | 14.2554i | 0.460280 | + | 0.493922i | ||||
\(834\) | −14.6918 | + | 17.3860i | −0.508735 | + | 0.602027i | ||||
\(835\) | 45.5536 | + | 54.2887i | 1.57645 | + | 1.87874i | ||||
\(836\) | −1.55038 | + | 40.5515i | −0.0536209 | + | 1.40250i | ||||
\(837\) | −4.39388 | − | 3.34879i | −0.151875 | − | 0.115751i | ||||
\(838\) | 0.165684 | − | 8.67039i | 0.00572346 | − | 0.299514i | ||||
\(839\) | −0.636862 | − | 3.61182i | −0.0219869 | − | 0.124694i | 0.971839 | − | 0.235647i | \(-0.0757208\pi\) |
−0.993826 | + | 0.110953i | \(0.964610\pi\) | |||||||
\(840\) | 50.4916 | + | 0.791516i | 1.74213 | + | 0.0273099i | ||||
\(841\) | −26.8345 | + | 9.76694i | −0.925326 | + | 0.336791i | ||||
\(842\) | −6.63750 | + | 7.61012i | −0.228743 | + | 0.262262i | ||||
\(843\) | −16.9505 | + | 30.4487i | −0.583807 | + | 1.04871i | ||||
\(844\) | 15.2701 | − | 37.4380i | 0.525620 | − | 1.28867i | ||||
\(845\) | −12.5856 | − | 7.26630i | −0.432958 | − | 0.249968i | ||||
\(846\) | 14.7184 | + | 8.26070i | 0.506030 | + | 0.284009i | ||||
\(847\) | −5.31016 | + | 15.8615i | −0.182459 | + | 0.545009i | ||||
\(848\) | 35.7091 | − | 3.51455i | 1.22626 | − | 0.120690i | ||||
\(849\) | 3.60183 | + | 1.24755i | 0.123615 | + | 0.0428157i | ||||
\(850\) | 37.9093 | − | 12.9831i | 1.30028 | − | 0.445318i | ||||
\(851\) | −12.0539 | − | 10.1144i | −0.413203 | − | 0.346719i | ||||
\(852\) | 43.6622 | − | 6.68612i | 1.49584 | − | 0.229063i | ||||
\(853\) | 10.2789 | − | 8.62506i | 0.351944 | − | 0.295316i | −0.449626 | − | 0.893217i | \(-0.648443\pi\) |
0.801570 | + | 0.597901i | \(0.203998\pi\) | |||||||
\(854\) | 50.1630 | + | 17.8665i | 1.71654 | + | 0.611380i | ||||
\(855\) | 56.9535 | − | 1.78134i | 1.94777 | − | 0.0609205i | ||||
\(856\) | −42.4217 | − | 27.8491i | −1.44994 | − | 0.951863i | ||||
\(857\) | −18.5795 | − | 22.1421i | −0.634662 | − | 0.756361i | 0.348855 | − | 0.937177i | \(-0.386571\pi\) |
−0.983517 | + | 0.180816i | \(0.942126\pi\) | |||||||
\(858\) | −20.7240 | − | 36.1846i | −0.707505 | − | 1.23532i | ||||
\(859\) | 4.66705 | + | 0.822927i | 0.159238 | + | 0.0280779i | 0.252699 | − | 0.967545i | \(-0.418682\pi\) |
−0.0934608 | + | 0.995623i | \(0.529793\pi\) | |||||||
\(860\) | 10.9495 | + | 9.92477i | 0.373376 | + | 0.338432i | ||||
\(861\) | −31.7816 | − | 16.6248i | −1.08312 | − | 0.566573i | ||||
\(862\) | 16.9687 | − | 43.9875i | 0.577957 | − | 1.49822i | ||||
\(863\) | −8.74192 | − | 15.1414i | −0.297578 | − | 0.515421i | 0.678003 | − | 0.735059i | \(-0.262846\pi\) |
−0.975581 | + | 0.219638i | \(0.929512\pi\) | |||||||
\(864\) | −28.0773 | + | 8.69861i | −0.955209 | + | 0.295933i | ||||
\(865\) | −4.80549 | + | 8.32336i | −0.163392 | + | 0.283003i | ||||
\(866\) | 48.8705 | − | 7.65751i | 1.66069 | − | 0.260213i | ||||
\(867\) | 15.8215 | + | 2.53541i | 0.537328 | + | 0.0861070i | ||||
\(868\) | −2.87220 | + | 4.83751i | −0.0974887 | + | 0.164196i | ||||
\(869\) | −14.4385 | + | 17.2071i | −0.489792 | + | 0.583712i | ||||
\(870\) | −3.15809 | − | 5.51411i | −0.107069 | − | 0.186946i | ||||
\(871\) | 0.343827 | + | 0.409757i | 0.0116501 | + | 0.0138841i | ||||
\(872\) | 1.08521 | − | 18.9116i | 0.0367500 | − | 0.640428i | ||||
\(873\) | 2.16787 | − | 15.0281i | 0.0733711 | − | 0.508623i | ||||
\(874\) | 7.93551 | + | 14.3720i | 0.268423 | + | 0.486142i | ||||
\(875\) | 49.6705 | − | 19.5561i | 1.67917 | − | 0.661117i | ||||
\(876\) | −28.9663 | − | 36.1478i | −0.978680 | − | 1.22132i | ||||
\(877\) | 7.94195 | − | 2.89063i | 0.268181 | − | 0.0976098i | −0.204430 | − | 0.978881i | \(-0.565534\pi\) |
0.472610 | + | 0.881271i | \(0.343312\pi\) | |||||||
\(878\) | −14.2271 | + | 4.87247i | −0.480140 | + | 0.164438i | ||||
\(879\) | −16.5431 | + | 14.3280i | −0.557986 | + | 0.483270i | ||||
\(880\) | −37.7760 | − | 52.7241i | −1.27343 | − | 1.77733i | ||||
\(881\) | −14.9372 | − | 8.62402i | −0.503248 | − | 0.290551i | 0.226806 | − | 0.973940i | \(-0.427172\pi\) |
−0.730054 | + | 0.683390i | \(0.760505\pi\) | |||||||
\(882\) | −26.6191 | − | 13.1690i | −0.896312 | − | 0.443423i | ||||
\(883\) | 20.2218 | − | 11.6751i | 0.680518 | − | 0.392897i | −0.119532 | − | 0.992830i | \(-0.538140\pi\) |
0.800050 | + | 0.599933i | \(0.204806\pi\) | |||||||
\(884\) | 13.9604 | + | 17.9908i | 0.469538 | + | 0.605095i | ||||
\(885\) | 14.8665 | + | 24.8442i | 0.499730 | + | 0.835130i | ||||
\(886\) | 10.6290 | + | 2.08432i | 0.357089 | + | 0.0700240i | ||||
\(887\) | 21.7117 | + | 18.2183i | 0.729007 | + | 0.611709i | 0.929861 | − | 0.367912i | \(-0.119927\pi\) |
−0.200854 | + | 0.979621i | \(0.564372\pi\) | |||||||
\(888\) | −23.9106 | − | 21.8246i | −0.802387 | − | 0.732384i | ||||
\(889\) | 0.752834 | − | 5.03156i | 0.0252492 | − | 0.168753i | ||||
\(890\) | −20.1189 | − | 12.1340i | −0.674386 | − | 0.406731i | ||||
\(891\) | −37.3847 | + | 2.34086i | −1.25243 | + | 0.0784217i | ||||
\(892\) | −1.73358 | + | 45.3434i | −0.0580447 | + | 1.51821i | ||||
\(893\) | 6.63335 | − | 18.2250i | 0.221977 | − | 0.609876i | ||||
\(894\) | 27.4935 | − | 32.5353i | 0.919521 | − | 1.08814i | ||||
\(895\) | −32.8287 | − | 90.1962i | −1.09734 | − | 3.01493i | ||||
\(896\) | 12.0924 | + | 27.3820i | 0.403980 | + | 0.914768i | ||||
\(897\) | −14.7396 | − | 8.20537i | −0.492140 | − | 0.273969i | ||||
\(898\) | 38.0586 | + | 14.6816i | 1.27003 | + | 0.489931i | ||||
\(899\) | 0.707943 | 0.0236112 | ||||||||
\(900\) | −47.0558 | + | 38.9307i | −1.56853 | + | 1.29769i | ||||
\(901\) | −24.9708 | −0.831897 | ||||||||
\(902\) | 7.13145 | + | 45.5132i | 0.237451 | + | 1.51542i | ||||
\(903\) | −3.31002 | − | 8.03625i | −0.110151 | − | 0.267430i | ||||
\(904\) | 0.398499 | − | 1.68784i | 0.0132539 | − | 0.0561368i | ||||
\(905\) | 28.0176 | + | 76.9778i | 0.931338 | + | 2.55883i | ||||
\(906\) | 23.5771 | + | 28.2972i | 0.783298 | + | 0.940110i | ||||
\(907\) | 2.02850 | − | 0.357680i | 0.0673554 | − | 0.0118766i | −0.139869 | − | 0.990170i | \(-0.544668\pi\) |
0.207224 | + | 0.978293i | \(0.433557\pi\) | |||||||
\(908\) | 13.5620 | + | 25.7111i | 0.450070 | + | 0.853253i | ||||
\(909\) | 28.4616 | + | 4.10571i | 0.944012 | + | 0.136178i | ||||
\(910\) | 38.6410 | + | 45.4100i | 1.28094 | + | 1.50533i | ||||
\(911\) | −10.7908 | − | 3.92754i | −0.357516 | − | 0.130125i | 0.157016 | − | 0.987596i | \(-0.449812\pi\) |
−0.514533 | + | 0.857471i | \(0.672035\pi\) | |||||||
\(912\) | 15.0798 | + | 30.2233i | 0.499343 | + | 1.00079i | ||||
\(913\) | −41.4055 | + | 15.0704i | −1.37032 | + | 0.498756i | ||||
\(914\) | −7.31183 | + | 8.38326i | −0.241854 | + | 0.277293i | ||||
\(915\) | −89.7195 | + | 34.2529i | −2.96604 | + | 1.13237i | ||||
\(916\) | 34.0710 | − | 26.4382i | 1.12574 | − | 0.873544i | ||||
\(917\) | 2.07563 | − | 0.421929i | 0.0685432 | − | 0.0139333i | ||||
\(918\) | 20.0385 | − | 4.11057i | 0.661370 | − | 0.135669i | ||||
\(919\) | 26.4017 | − | 15.2430i | 0.870911 | − | 0.502821i | 0.00326006 | − | 0.999995i | \(-0.498962\pi\) |
0.867651 | + | 0.497174i | \(0.165629\pi\) | |||||||
\(920\) | −24.1025 | − | 10.3723i | −0.794636 | − | 0.341965i | ||||
\(921\) | 5.42855 | − | 33.8754i | 0.178877 | − | 1.11623i | ||||
\(922\) | −38.1469 | + | 13.0645i | −1.25630 | + | 0.430257i | ||||
\(923\) | 39.9532 | + | 33.5247i | 1.31508 | + | 1.10348i | ||||
\(924\) | 6.75274 | + | 37.5428i | 0.222149 | + | 1.23507i | ||||
\(925\) | −63.2064 | − | 23.0052i | −2.07821 | − | 0.756408i | ||||
\(926\) | −23.0893 | − | 41.8171i | −0.758762 | − | 1.37420i | ||||
\(927\) | −17.3999 | + | 10.7848i | −0.571487 | + | 0.354219i | ||||
\(928\) | 2.18592 | − | 3.06752i | 0.0717562 | − | 0.100696i | ||||
\(929\) | 13.3102 | − | 36.5694i | 0.436693 | − | 1.19980i | −0.504938 | − | 0.863156i | \(-0.668485\pi\) |
0.941631 | − | 0.336648i | \(-0.109293\pi\) | |||||||
\(930\) | −1.72717 | − | 9.99823i | −0.0566362 | − | 0.327855i | ||||
\(931\) | −9.98856 | + | 32.6319i | −0.327362 | + | 1.06947i | ||||
\(932\) | 0.934982 | + | 2.91029i | 0.0306264 | + | 0.0953298i | ||||
\(933\) | −12.0757 | + | 34.8640i | −0.395339 | + | 1.14140i | ||||
\(934\) | −6.59611 | + | 17.0989i | −0.215831 | + | 0.559492i | ||||
\(935\) | 22.5688 | + | 39.0903i | 0.738078 | + | 1.27839i | ||||
\(936\) | −29.5948 | − | 18.1306i | −0.967336 | − | 0.592616i | ||||
\(937\) | −9.42164 | − | 16.3188i | −0.307791 | − | 0.533110i | 0.670087 | − | 0.742282i | \(-0.266257\pi\) |
−0.977879 | + | 0.209172i | \(0.932923\pi\) | |||||||
\(938\) | −0.170526 | − | 0.458637i | −0.00556787 | − | 0.0149750i | ||||
\(939\) | −0.640263 | − | 40.9514i | −0.0208942 | − | 1.33640i | ||||
\(940\) | 9.48141 | + | 29.5125i | 0.309250 | + | 0.962593i | ||||
\(941\) | −36.2973 | − | 6.40019i | −1.18326 | − | 0.208640i | −0.452809 | − | 0.891608i | \(-0.649578\pi\) |
−0.730449 | + | 0.682967i | \(0.760689\pi\) | |||||||
\(942\) | −34.5880 | − | 29.2281i | −1.12694 | − | 0.952303i | ||||
\(943\) | 11.9798 | + | 14.2770i | 0.390116 | + | 0.464922i | ||||
\(944\) | −9.69076 | + | 14.1641i | −0.315407 | + | 0.461004i | ||||
\(945\) | 51.9296 | − | 13.1186i | 1.68927 | − | 0.426748i | ||||
\(946\) | −5.76527 | + | 9.55918i | −0.187445 | + | 0.310796i | ||||
\(947\) | −21.6574 | + | 18.1727i | −0.703770 | + | 0.590533i | −0.922843 | − | 0.385176i | \(-0.874141\pi\) |
0.219074 | + | 0.975708i | \(0.429696\pi\) | |||||||
\(948\) | −3.66137 | + | 18.3338i | −0.118916 | + | 0.595453i | ||||
\(949\) | 9.49762 | − | 53.8637i | 0.308306 | − | 1.74849i | ||||
\(950\) | 52.8880 | + | 46.1286i | 1.71591 | + | 1.49661i | ||||
\(951\) | −0.0372638 | − | 0.0622738i | −0.00120836 | − | 0.00201937i | ||||
\(952\) | −6.50843 | − | 19.7883i | −0.210939 | − | 0.641343i | ||||
\(953\) | 16.0353 | − | 9.25799i | 0.519435 | − | 0.299896i | −0.217269 | − | 0.976112i | \(-0.569715\pi\) |
0.736703 | + | 0.676216i | \(0.236381\pi\) | |||||||
\(954\) | 35.6021 | − | 13.4506i | 1.15266 | − | 0.435479i | ||||
\(955\) | 10.6062 | − | 6.12351i | 0.343210 | − | 0.198152i | ||||
\(956\) | −39.0808 | + | 30.3257i | −1.26396 | + | 0.980802i | ||||
\(957\) | 3.62836 | − | 3.14251i | 0.117288 | − | 0.101583i | ||||
\(958\) | −1.86988 | + | 2.14388i | −0.0604130 | + | 0.0692656i | ||||
\(959\) | −15.4375 | − | 25.2013i | −0.498504 | − | 0.813791i | ||||
\(960\) | −48.6553 | − | 23.3877i | −1.57034 | − | 0.754834i | ||||
\(961\) | −28.0682 | − | 10.2160i | −0.905427 | − | 0.329549i | ||||
\(962\) | 0.730311 | − | 38.2178i | 0.0235462 | − | 1.23219i | ||||
\(963\) | −51.1292 | − | 16.8189i | −1.64762 | − | 0.541980i | ||||
\(964\) | 10.3150 | + | 0.394367i | 0.332224 | + | 0.0127017i | ||||
\(965\) | −13.5983 | + | 37.3610i | −0.437744 | + | 1.20269i | ||||
\(966\) | 10.1833 | + | 11.5949i | 0.327643 | + | 0.373061i | ||||
\(967\) | −0.0926803 | + | 0.110452i | −0.00298040 | + | 0.00355190i | −0.767533 | − | 0.641010i | \(-0.778516\pi\) |
0.764552 | + | 0.644562i | \(0.222960\pi\) | |||||||
\(968\) | 12.2600 | − | 13.0172i | 0.394052 | − | 0.418389i | ||||
\(969\) | −8.38374 | − | 21.9598i | −0.269325 | − | 0.705449i | ||||
\(970\) | 21.7005 | − | 17.5134i | 0.696763 | − | 0.562322i | ||||
\(971\) | 4.86559 | + | 8.42744i | 0.156144 | + | 0.270450i | 0.933475 | − | 0.358642i | \(-0.116760\pi\) |
−0.777331 | + | 0.629092i | \(0.783427\pi\) | |||||||
\(972\) | −26.3558 | + | 16.6545i | −0.845363 | + | 0.534193i | ||||
\(973\) | 23.3142 | + | 7.80518i | 0.747420 | + | 0.250223i | ||||
\(974\) | 33.2142 | + | 12.8128i | 1.06425 | + | 0.410548i | ||||
\(975\) | −71.2031 | − | 11.4103i | −2.28032 | − | 0.365423i | ||||
\(976\) | −40.6870 | − | 39.8144i | −1.30236 | − | 1.27443i | ||||
\(977\) | −4.17452 | − | 11.4694i | −0.133555 | − | 0.366939i | 0.854831 | − | 0.518907i | \(-0.173661\pi\) |
−0.988385 | + | 0.151969i | \(0.951439\pi\) | |||||||
\(978\) | 5.63684 | + | 3.28059i | 0.180246 | + | 0.104902i | ||||
\(979\) | 6.07002 | − | 16.6772i | 0.193999 | − | 0.533007i | ||||
\(980\) | −19.3612 | − | 50.9920i | −0.618470 | − | 1.62888i | ||||
\(981\) | −4.10576 | − | 19.6678i | −0.131087 | − | 0.627945i | ||||
\(982\) | 3.75729 | + | 2.26607i | 0.119900 | + | 0.0723132i | ||||
\(983\) | 3.62590 | + | 20.5635i | 0.115648 | + | 0.655874i | 0.986427 | + | 0.164199i | \(0.0525039\pi\) |
−0.870779 | + | 0.491675i | \(0.836385\pi\) | |||||||
\(984\) | 23.4013 | + | 30.3746i | 0.746006 | + | 0.968307i | ||||
\(985\) | 32.0578 | − | 11.6681i | 1.02145 | − | 0.371776i | ||||
\(986\) | −1.72300 | + | 1.97548i | −0.0548716 | + | 0.0629121i | ||||
\(987\) | 2.41547 | − | 18.0697i | 0.0768854 | − | 0.575166i | ||||
\(988\) | −15.0621 | + | 36.9280i | −0.479190 | + | 1.17484i | ||||
\(989\) | 4.51612i | 0.143604i | ||||||||
\(990\) | −53.2336 | − | 43.5763i | −1.69188 | − | 1.38495i | ||||
\(991\) | 15.2588i | 0.484713i | 0.970187 | + | 0.242356i | \(0.0779203\pi\) | ||||
−0.970187 | + | 0.242356i | \(0.922080\pi\) | |||||||
\(992\) | 4.95503 | − | 3.40885i | 0.157322 | − | 0.108231i | ||||
\(993\) | −11.6977 | − | 19.5488i | −0.371216 | − | 0.620361i | ||||
\(994\) | −24.1399 | − | 41.1526i | −0.765670 | − | 1.30528i | ||||
\(995\) | 73.3575 | − | 26.6999i | 2.32559 | − | 0.846445i | ||||
\(996\) | −24.2021 | + | 27.5547i | −0.766872 | + | 0.873105i | ||||
\(997\) | −27.8044 | − | 10.1200i | −0.880574 | − | 0.320503i | −0.138133 | − | 0.990414i | \(-0.544110\pi\) |
−0.742441 | + | 0.669911i | \(0.766332\pi\) | |||||||
\(998\) | −4.66021 | − | 8.44012i | −0.147516 | − | 0.267167i | ||||
\(999\) | −30.5089 | − | 15.7555i | −0.965260 | − | 0.498481i |
(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 | 756.2.ci.a.95.7 | yes | 840 | |
4.3 | odd | 2 | inner | 756.2.ci.a.95.87 | yes | 840 | |
7.2 | even | 3 | 756.2.bs.a.527.101 | yes | 840 | ||
27.2 | odd | 18 | 756.2.bs.a.515.10 | ✓ | 840 | ||
28.23 | odd | 6 | 756.2.bs.a.527.10 | yes | 840 | ||
108.83 | even | 18 | 756.2.bs.a.515.101 | yes | 840 | ||
189.2 | odd | 18 | inner | 756.2.ci.a.191.87 | yes | 840 | |
756.191 | even | 18 | inner | 756.2.ci.a.191.7 | yes | 840 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
756.2.bs.a.515.10 | ✓ | 840 | 27.2 | odd | 18 | ||
756.2.bs.a.515.101 | yes | 840 | 108.83 | even | 18 | ||
756.2.bs.a.527.10 | yes | 840 | 28.23 | odd | 6 | ||
756.2.bs.a.527.101 | yes | 840 | 7.2 | even | 3 | ||
756.2.ci.a.95.7 | yes | 840 | 1.1 | even | 1 | trivial | |
756.2.ci.a.95.87 | yes | 840 | 4.3 | odd | 2 | inner | |
756.2.ci.a.191.7 | yes | 840 | 756.191 | even | 18 | inner | |
756.2.ci.a.191.87 | yes | 840 | 189.2 | odd | 18 | inner |