Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [201,2,Mod(4,201)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(201, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("201.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 201 = 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 201.m (of order \(33\), degree \(20\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.60499308063\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{33})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{33}]$ |
Embedding invariants
Embedding label | 10.5 | ||
Character | \(\chi\) | \(=\) | 201.10 |
Dual form | 201.2.m.b.181.5 |
$q$-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 \(\left(\mathbb{Z}/201\mathbb{Z}\right)^\times\).
\(n\) | \(68\) | \(136\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{8}{33}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.07016 | + | 1.02039i | 0.756715 | + | 0.721526i | 0.966625 | − | 0.256195i | \(-0.0824688\pi\) |
−0.209910 | + | 0.977721i | \(0.567317\pi\) | |||||||
\(3\) | −0.142315 | − | 0.989821i | −0.0821655 | − | 0.571474i | ||||
\(4\) | 0.00887090 | + | 0.186223i | 0.00443545 | + | 0.0931116i | ||||
\(5\) | 0.810859 | − | 1.77553i | 0.362627 | − | 0.794043i | −0.637102 | − | 0.770779i | \(-0.719867\pi\) |
0.999729 | − | 0.0232633i | \(-0.00740561\pi\) | |||||||
\(6\) | 0.857707 | − | 1.20448i | 0.350157 | − | 0.491727i | ||||
\(7\) | −0.301535 | + | 1.24295i | −0.113970 | + | 0.469789i | 0.886012 | + | 0.463663i | \(0.153465\pi\) |
−0.999981 | + | 0.00612628i | \(0.998050\pi\) | |||||||
\(8\) | 1.75610 | − | 2.02665i | 0.620877 | − | 0.716530i | ||||
\(9\) | −0.959493 | + | 0.281733i | −0.319831 | + | 0.0939109i | ||||
\(10\) | 2.67949 | − | 1.07270i | 0.847328 | − | 0.339219i | ||||
\(11\) | 0.776595 | + | 1.09058i | 0.234152 | + | 0.328821i | 0.914888 | − | 0.403709i | \(-0.132279\pi\) |
−0.680735 | + | 0.732529i | \(0.738340\pi\) | |||||||
\(12\) | 0.183065 | − | 0.0352829i | 0.0528464 | − | 0.0101853i | ||||
\(13\) | 0.437473 | − | 1.26399i | 0.121333 | − | 0.350569i | −0.867936 | − | 0.496677i | \(-0.834553\pi\) |
0.989269 | + | 0.146108i | \(0.0466746\pi\) | |||||||
\(14\) | −1.59098 | + | 1.02246i | −0.425208 | + | 0.273265i | ||||
\(15\) | −1.87286 | − | 0.549921i | −0.483570 | − | 0.141989i | ||||
\(16\) | 4.31847 | − | 0.412364i | 1.07962 | − | 0.103091i | ||||
\(17\) | −0.285862 | + | 6.00098i | −0.0693317 | + | 1.45545i | 0.649550 | + | 0.760319i | \(0.274957\pi\) |
−0.718882 | + | 0.695132i | \(0.755346\pi\) | |||||||
\(18\) | −1.31429 | − | 0.677561i | −0.309780 | − | 0.159703i | ||||
\(19\) | −0.624200 | − | 2.57299i | −0.143201 | − | 0.590284i | −0.997510 | − | 0.0705188i | \(-0.977535\pi\) |
0.854309 | − | 0.519765i | \(-0.173981\pi\) | |||||||
\(20\) | 0.337838 | + | 0.135250i | 0.0755430 | + | 0.0302428i | ||||
\(21\) | 1.27321 | + | 0.121577i | 0.277837 | + | 0.0265302i | ||||
\(22\) | −0.281736 | + | 1.95952i | −0.0600663 | + | 0.417770i | ||||
\(23\) | −6.37445 | + | 5.01292i | −1.32916 | + | 1.04527i | −0.334468 | + | 0.942407i | \(0.608557\pi\) |
−0.994696 | + | 0.102859i | \(0.967201\pi\) | |||||||
\(24\) | −2.25594 | − | 1.44981i | −0.460493 | − | 0.295941i | ||||
\(25\) | 0.779278 | + | 0.899334i | 0.155856 | + | 0.179867i | ||||
\(26\) | 1.75793 | − | 0.906278i | 0.344759 | − | 0.177736i | ||||
\(27\) | 0.415415 | + | 0.909632i | 0.0799467 | + | 0.175059i | ||||
\(28\) | −0.234140 | − | 0.0451268i | −0.0442484 | − | 0.00852817i | ||||
\(29\) | −2.36469 | + | 4.09577i | −0.439112 | + | 0.760565i | −0.997621 | − | 0.0689335i | \(-0.978040\pi\) |
0.558509 | + | 0.829499i | \(0.311374\pi\) | |||||||
\(30\) | −1.44312 | − | 2.49955i | −0.263476 | − | 0.456353i | ||||
\(31\) | −1.21923 | − | 3.52274i | −0.218980 | − | 0.632702i | −0.999967 | − | 0.00815414i | \(-0.997404\pi\) |
0.780986 | − | 0.624548i | \(-0.214717\pi\) | |||||||
\(32\) | 0.826375 | + | 0.649869i | 0.146084 | + | 0.114882i | ||||
\(33\) | 0.968954 | − | 0.923895i | 0.168673 | − | 0.160830i | ||||
\(34\) | −6.42927 | + | 6.13029i | −1.10261 | + | 1.05134i | ||||
\(35\) | 1.96239 | + | 1.54324i | 0.331704 | + | 0.260855i | ||||
\(36\) | −0.0609767 | − | 0.176181i | −0.0101628 | − | 0.0293634i | ||||
\(37\) | −1.62936 | − | 2.82213i | −0.267864 | − | 0.463955i | 0.700446 | − | 0.713706i | \(-0.252985\pi\) |
−0.968310 | + | 0.249751i | \(0.919651\pi\) | |||||||
\(38\) | 1.95747 | − | 3.39043i | 0.317543 | − | 0.550000i | ||||
\(39\) | −1.31339 | − | 0.253135i | −0.210310 | − | 0.0405340i | ||||
\(40\) | −2.17444 | − | 4.76135i | −0.343809 | − | 0.752836i | ||||
\(41\) | −2.41234 | + | 1.24365i | −0.376744 | + | 0.194225i | −0.636190 | − | 0.771533i | \(-0.719490\pi\) |
0.259446 | + | 0.965758i | \(0.416460\pi\) | |||||||
\(42\) | 1.23848 | + | 1.42928i | 0.191101 | + | 0.220542i | ||||
\(43\) | 0.913253 | + | 0.586912i | 0.139270 | + | 0.0895033i | 0.608420 | − | 0.793615i | \(-0.291803\pi\) |
−0.469151 | + | 0.883118i | \(0.655440\pi\) | |||||||
\(44\) | −0.196201 | + | 0.154294i | −0.0295785 | + | 0.0232608i | ||||
\(45\) | −0.277788 | + | 1.93206i | −0.0414102 | + | 0.288014i | ||||
\(46\) | −11.9368 | − | 1.13983i | −1.75998 | − | 0.168058i | ||||
\(47\) | −3.36434 | − | 1.34688i | −0.490739 | − | 0.196462i | 0.113077 | − | 0.993586i | \(-0.463929\pi\) |
−0.603816 | + | 0.797124i | \(0.706354\pi\) | |||||||
\(48\) | −1.02275 | − | 4.21583i | −0.147621 | − | 0.608502i | ||||
\(49\) | 4.76786 | + | 2.45800i | 0.681122 | + | 0.351143i | ||||
\(50\) | −0.0837247 | + | 1.75760i | −0.0118405 | + | 0.248562i | ||||
\(51\) | 5.98058 | − | 0.571076i | 0.837449 | − | 0.0799666i | ||||
\(52\) | 0.239266 | + | 0.0702548i | 0.0331802 | + | 0.00974259i | ||||
\(53\) | 10.2055 | − | 6.55865i | 1.40183 | − | 0.900900i | 0.401937 | − | 0.915667i | \(-0.368337\pi\) |
0.999891 | + | 0.0147671i | \(0.00470070\pi\) | |||||||
\(54\) | −0.483622 | + | 1.39733i | −0.0658126 | + | 0.190153i | ||||
\(55\) | 2.56606 | − | 0.494568i | 0.346008 | − | 0.0666875i | ||||
\(56\) | 1.98949 | + | 2.79385i | 0.265857 | + | 0.373344i | ||||
\(57\) | −2.45797 | + | 0.984022i | −0.325566 | + | 0.130337i | ||||
\(58\) | −6.70988 | + | 1.97020i | −0.881050 | + | 0.258700i | ||||
\(59\) | −1.99755 | + | 2.30530i | −0.260059 | + | 0.300124i | −0.870731 | − | 0.491760i | \(-0.836354\pi\) |
0.610672 | + | 0.791884i | \(0.290899\pi\) | |||||||
\(60\) | 0.0857940 | − | 0.353648i | 0.0110760 | − | 0.0456557i | ||||
\(61\) | 5.12616 | − | 7.19869i | 0.656338 | − | 0.921697i | −0.343510 | − | 0.939149i | \(-0.611616\pi\) |
0.999848 | + | 0.0174518i | \(0.00555536\pi\) | |||||||
\(62\) | 2.28980 | − | 5.01397i | 0.290805 | − | 0.636775i | ||||
\(63\) | −0.0608572 | − | 1.27755i | −0.00766729 | − | 0.160956i | ||||
\(64\) | −1.01353 | − | 7.04922i | −0.126691 | − | 0.881153i | ||||
\(65\) | −1.88954 | − | 1.80167i | −0.234368 | − | 0.223469i | ||||
\(66\) | 1.97967 | 0.243680 | ||||||||
\(67\) | −8.02477 | + | 1.61340i | −0.980382 | + | 0.197108i | ||||
\(68\) | −1.12006 | −0.135827 | ||||||||
\(69\) | 5.86907 | + | 5.59615i | 0.706553 | + | 0.673697i | ||||
\(70\) | 0.525354 | + | 3.65391i | 0.0627918 | + | 0.436726i | ||||
\(71\) | 0.675765 | + | 14.1861i | 0.0801985 | + | 1.68357i | 0.577808 | + | 0.816173i | \(0.303908\pi\) |
−0.497609 | + | 0.867401i | \(0.665789\pi\) | |||||||
\(72\) | −1.11400 | + | 2.43931i | −0.131286 | + | 0.287476i | ||||
\(73\) | 2.60213 | − | 3.65418i | 0.304556 | − | 0.427689i | −0.633727 | − | 0.773557i | \(-0.718476\pi\) |
0.938283 | + | 0.345867i | \(0.112415\pi\) | |||||||
\(74\) | 1.13601 | − | 4.68270i | 0.132059 | − | 0.544353i | ||||
\(75\) | 0.779278 | − | 0.899334i | 0.0899832 | − | 0.103846i | ||||
\(76\) | 0.473613 | − | 0.139065i | 0.0543271 | − | 0.0159519i | ||||
\(77\) | −1.58970 | + | 0.636419i | −0.181163 | + | 0.0725266i | ||||
\(78\) | −1.14723 | − | 1.61106i | −0.129899 | − | 0.182417i | ||||
\(79\) | −9.34483 | + | 1.80107i | −1.05138 | + | 0.202636i | −0.685534 | − | 0.728041i | \(-0.740431\pi\) |
−0.365842 | + | 0.930677i | \(0.619219\pi\) | |||||||
\(80\) | 2.76950 | − | 8.00195i | 0.309640 | − | 0.894645i | ||||
\(81\) | 0.841254 | − | 0.540641i | 0.0934726 | − | 0.0600712i | ||||
\(82\) | −3.85058 | − | 1.13063i | −0.425226 | − | 0.124858i | ||||
\(83\) | −1.72035 | + | 0.164273i | −0.188833 | + | 0.0180314i | −0.189044 | − | 0.981969i | \(-0.560539\pi\) |
0.000211093 | 1.00000i | \(0.499933\pi\) | ||||||||
\(84\) | −0.0113459 | + | 0.238179i | −0.00123794 | + | 0.0259875i | ||||
\(85\) | 10.4231 | + | 5.37350i | 1.13055 | + | 0.582838i | ||||
\(86\) | 0.378443 | + | 1.55996i | 0.0408086 | + | 0.168215i | ||||
\(87\) | 4.39061 | + | 1.75774i | 0.470723 | + | 0.188449i | ||||
\(88\) | 3.57400 | + | 0.341276i | 0.380990 | + | 0.0363801i | ||||
\(89\) | 1.13673 | − | 7.90611i | 0.120493 | − | 0.838046i | −0.836507 | − | 0.547957i | \(-0.815406\pi\) |
0.957000 | − | 0.290089i | \(-0.0936851\pi\) | |||||||
\(90\) | −2.26873 | + | 1.78415i | −0.239145 | + | 0.188066i | ||||
\(91\) | 1.43916 | + | 0.924894i | 0.150865 | + | 0.0969553i | ||||
\(92\) | −0.990069 | − | 1.14260i | −0.103222 | − | 0.119124i | ||||
\(93\) | −3.31337 | + | 1.70816i | −0.343580 | + | 0.177128i | ||||
\(94\) | −2.22602 | − | 4.87431i | −0.229597 | − | 0.502747i | ||||
\(95\) | −5.07457 | − | 0.978042i | −0.520640 | − | 0.100345i | ||||
\(96\) | 0.525648 | − | 0.910450i | 0.0536488 | − | 0.0929224i | ||||
\(97\) | 1.90778 | + | 3.30437i | 0.193706 | + | 0.335508i | 0.946475 | − | 0.322776i | \(-0.104616\pi\) |
−0.752770 | + | 0.658284i | \(0.771283\pi\) | |||||||
\(98\) | 2.59423 | + | 7.49553i | 0.262057 | + | 0.757163i | ||||
\(99\) | −1.05239 | − | 0.827607i | −0.105769 | − | 0.0831776i | ||||
\(100\) | −0.160564 | + | 0.153097i | −0.0160564 | + | 0.0153097i | ||||
\(101\) | 1.15151 | − | 1.09797i | 0.114580 | − | 0.109252i | −0.630624 | − | 0.776089i | \(-0.717201\pi\) |
0.745204 | + | 0.666837i | \(0.232352\pi\) | |||||||
\(102\) | 6.98288 | + | 5.49139i | 0.691408 | + | 0.543729i | ||||
\(103\) | 3.58620 | + | 10.3616i | 0.353359 | + | 1.02096i | 0.971937 | + | 0.235240i | \(0.0755877\pi\) |
−0.618578 | + | 0.785723i | \(0.712291\pi\) | |||||||
\(104\) | −1.79343 | − | 3.10631i | −0.175860 | − | 0.304599i | ||||
\(105\) | 1.24825 | − | 2.16204i | 0.121817 | − | 0.210994i | ||||
\(106\) | 17.6138 | + | 3.39479i | 1.71081 | + | 0.329731i | ||||
\(107\) | 3.93818 | + | 8.62342i | 0.380719 | + | 0.833657i | 0.998867 | + | 0.0475957i | \(0.0151559\pi\) |
−0.618148 | + | 0.786062i | \(0.712117\pi\) | |||||||
\(108\) | −0.165709 | + | 0.0854292i | −0.0159454 | + | 0.00822043i | ||||
\(109\) | −3.69764 | − | 4.26731i | −0.354170 | − | 0.408734i | 0.550508 | − | 0.834830i | \(-0.314434\pi\) |
−0.904678 | + | 0.426096i | \(0.859889\pi\) | |||||||
\(110\) | 3.25074 | + | 2.08912i | 0.309946 | + | 0.199190i | ||||
\(111\) | −2.56152 | + | 2.01440i | −0.243129 | + | 0.191199i | ||||
\(112\) | −0.789625 | + | 5.49196i | −0.0746126 | + | 0.518942i | ||||
\(113\) | −7.96815 | − | 0.760866i | −0.749581 | − | 0.0715763i | −0.286729 | − | 0.958012i | \(-0.592568\pi\) |
−0.462852 | + | 0.886436i | \(0.653174\pi\) | |||||||
\(114\) | −3.63450 | − | 1.45503i | −0.340402 | − | 0.136276i | ||||
\(115\) | 3.73183 | + | 15.3828i | 0.347995 | + | 1.43445i | ||||
\(116\) | −0.783704 | − | 0.404027i | −0.0727651 | − | 0.0375130i | ||||
\(117\) | −0.0636436 | + | 1.33604i | −0.00588386 | + | 0.123517i | ||||
\(118\) | −4.49000 | + | 0.428743i | −0.413338 | + | 0.0394690i | ||||
\(119\) | −7.37269 | − | 2.16482i | −0.675854 | − | 0.198449i | ||||
\(120\) | −4.40343 | + | 2.82992i | −0.401977 | + | 0.258335i | ||||
\(121\) | 3.01149 | − | 8.70114i | 0.273772 | − | 0.791013i | ||||
\(122\) | 12.8313 | − | 2.47303i | 1.16169 | − | 0.223897i | ||||
\(123\) | 1.57430 | + | 2.21079i | 0.141950 | + | 0.199340i | ||||
\(124\) | 0.645200 | − | 0.258299i | 0.0579406 | − | 0.0231959i | ||||
\(125\) | 11.5930 | − | 3.40400i | 1.03691 | − | 0.304463i | ||||
\(126\) | 1.23848 | − | 1.42928i | 0.110332 | − | 0.127330i | ||||
\(127\) | 0.913087 | − | 3.76380i | 0.0810234 | − | 0.333983i | −0.916845 | − | 0.399244i | \(-0.869273\pi\) |
0.997868 | + | 0.0652607i | \(0.0207879\pi\) | |||||||
\(128\) | 7.32796 | − | 10.2907i | 0.647707 | − | 0.909577i | ||||
\(129\) | 0.450969 | − | 0.987484i | 0.0397056 | − | 0.0869431i | ||||
\(130\) | −0.183690 | − | 3.85613i | −0.0161107 | − | 0.338205i | ||||
\(131\) | −2.60857 | − | 18.1430i | −0.227912 | − | 1.58516i | −0.706881 | − | 0.707332i | \(-0.749899\pi\) |
0.478969 | − | 0.877832i | \(-0.341011\pi\) | |||||||
\(132\) | 0.180646 | + | 0.172246i | 0.0157232 | + | 0.0149921i | ||||
\(133\) | 3.38631 | 0.293630 | ||||||||
\(134\) | −10.2341 | − | 6.46182i | −0.884088 | − | 0.558216i | ||||
\(135\) | 1.95192 | 0.167995 | ||||||||
\(136\) | 11.6599 | + | 11.1177i | 0.999828 | + | 0.953334i | ||||
\(137\) | −0.951716 | − | 6.61933i | −0.0813106 | − | 0.565528i | −0.989228 | − | 0.146380i | \(-0.953238\pi\) |
0.907918 | − | 0.419148i | \(-0.137671\pi\) | |||||||
\(138\) | 0.570559 | + | 11.9775i | 0.0485692 | + | 1.01959i | ||||
\(139\) | 9.63736 | − | 21.1029i | 0.817430 | − | 1.78992i | 0.246004 | − | 0.969269i | \(-0.420882\pi\) |
0.571426 | − | 0.820654i | \(-0.306390\pi\) | |||||||
\(140\) | −0.269979 | + | 0.379132i | −0.0228174 | + | 0.0320425i | ||||
\(141\) | −0.854373 | + | 3.52177i | −0.0719512 | + | 0.296587i | ||||
\(142\) | −13.7522 | + | 15.8708i | −1.15406 | + | 1.33185i | ||||
\(143\) | 1.71822 | − | 0.504515i | 0.143685 | − | 0.0421897i | ||||
\(144\) | −4.02736 | + | 1.61231i | −0.335614 | + | 0.134359i | ||||
\(145\) | 5.35474 | + | 7.51968i | 0.444687 | + | 0.624475i | ||||
\(146\) | 6.51338 | − | 1.25535i | 0.539051 | − | 0.103894i | ||||
\(147\) | 1.75445 | − | 5.06914i | 0.144704 | − | 0.418095i | ||||
\(148\) | 0.511092 | − | 0.328459i | 0.0420115 | − | 0.0269991i | ||||
\(149\) | −15.9696 | − | 4.68910i | −1.30828 | − | 0.384146i | −0.448031 | − | 0.894018i | \(-0.647875\pi\) |
−0.860250 | + | 0.509872i | \(0.829693\pi\) | |||||||
\(150\) | 1.75162 | − | 0.167260i | 0.143019 | − | 0.0136567i | ||||
\(151\) | 0.684484 | − | 14.3691i | 0.0557025 | − | 1.16934i | −0.782024 | − | 0.623249i | \(-0.785812\pi\) |
0.837726 | − | 0.546091i | \(-0.183885\pi\) | |||||||
\(152\) | −6.31072 | − | 3.25340i | −0.511867 | − | 0.263886i | ||||
\(153\) | −1.41639 | − | 5.83843i | −0.114508 | − | 0.472009i | ||||
\(154\) | −2.35062 | − | 0.941047i | −0.189418 | − | 0.0758317i | ||||
\(155\) | −7.24336 | − | 0.691657i | −0.581801 | − | 0.0555552i | ||||
\(156\) | 0.0354886 | − | 0.246829i | 0.00284136 | − | 0.0197621i | ||||
\(157\) | 6.97139 | − | 5.48236i | 0.556378 | − | 0.437540i | −0.299964 | − | 0.953951i | \(-0.596975\pi\) |
0.856341 | + | 0.516410i | \(0.172732\pi\) | |||||||
\(158\) | −11.8382 | − | 7.60796i | −0.941798 | − | 0.605257i | ||||
\(159\) | −7.94428 | − | 9.16819i | −0.630023 | − | 0.727085i | ||||
\(160\) | 1.82394 | − | 0.940305i | 0.144195 | − | 0.0743376i | ||||
\(161\) | −4.30867 | − | 9.43467i | −0.339571 | − | 0.743556i | ||||
\(162\) | 1.45194 | + | 0.279838i | 0.114075 | + | 0.0219862i | ||||
\(163\) | −8.90300 | + | 15.4205i | −0.697337 | + | 1.20782i | 0.272049 | + | 0.962283i | \(0.412299\pi\) |
−0.969386 | + | 0.245540i | \(0.921035\pi\) | |||||||
\(164\) | −0.252995 | − | 0.438201i | −0.0197556 | − | 0.0342177i | ||||
\(165\) | −0.854722 | − | 2.46956i | −0.0665400 | − | 0.192255i | ||||
\(166\) | −2.00867 | − | 1.57963i | −0.155903 | − | 0.122603i | ||||
\(167\) | 8.58668 | − | 8.18738i | 0.664457 | − | 0.633558i | −0.280846 | − | 0.959753i | \(-0.590615\pi\) |
0.945303 | + | 0.326195i | \(0.105766\pi\) | |||||||
\(168\) | 2.48228 | − | 2.36685i | 0.191512 | − | 0.182606i | ||||
\(169\) | 8.81239 | + | 6.93014i | 0.677876 | + | 0.533088i | ||||
\(170\) | 5.67131 | + | 16.3862i | 0.434970 | + | 1.25676i | ||||
\(171\) | 1.32381 | + | 2.29291i | 0.101234 | + | 0.175343i | ||||
\(172\) | −0.101195 | + | 0.175275i | −0.00771607 | + | 0.0133646i | ||||
\(173\) | −8.04381 | − | 1.55032i | −0.611560 | − | 0.117868i | −0.125939 | − | 0.992038i | \(-0.540194\pi\) |
−0.485621 | + | 0.874170i | \(0.661406\pi\) | |||||||
\(174\) | 2.90506 | + | 6.36119i | 0.220232 | + | 0.482241i | ||||
\(175\) | −1.35280 | + | 0.697419i | −0.102262 | + | 0.0527199i | ||||
\(176\) | 3.80341 | + | 4.38937i | 0.286693 | + | 0.330861i | ||||
\(177\) | 2.56611 | + | 1.64914i | 0.192881 | + | 0.123957i | ||||
\(178\) | 9.28381 | − | 7.30087i | 0.695851 | − | 0.547223i | ||||
\(179\) | −1.98342 | + | 13.7950i | −0.148248 | + | 1.03109i | 0.770839 | + | 0.637030i | \(0.219837\pi\) |
−0.919087 | + | 0.394056i | \(0.871072\pi\) | |||||||
\(180\) | −0.362258 | − | 0.0345914i | −0.0270011 | − | 0.00257829i | ||||
\(181\) | 0.482810 | + | 0.193288i | 0.0358870 | + | 0.0143670i | 0.389537 | − | 0.921011i | \(-0.372635\pi\) |
−0.353650 | + | 0.935378i | \(0.615059\pi\) | |||||||
\(182\) | 0.596375 | + | 2.45829i | 0.0442063 | + | 0.182221i | ||||
\(183\) | −7.85494 | − | 4.04950i | −0.580654 | − | 0.299348i | ||||
\(184\) | −1.03475 | + | 21.7220i | −0.0762825 | + | 1.60137i | ||||
\(185\) | −6.33196 | + | 0.604629i | −0.465535 | + | 0.0444532i | ||||
\(186\) | −5.28881 | − | 1.55293i | −0.387794 | − | 0.113867i | ||||
\(187\) | −6.76652 | + | 4.34858i | −0.494817 | + | 0.317999i | ||||
\(188\) | 0.220975 | − | 0.638465i | 0.0161163 | − | 0.0465649i | ||||
\(189\) | −1.25589 | + | 0.242052i | −0.0913523 | + | 0.0176067i | ||||
\(190\) | −4.43259 | − | 6.22471i | −0.321574 | − | 0.451588i | ||||
\(191\) | −7.98257 | + | 3.19574i | −0.577599 | + | 0.231236i | −0.642021 | − | 0.766687i | \(-0.721904\pi\) |
0.0644223 | + | 0.997923i | \(0.479480\pi\) | |||||||
\(192\) | −6.83323 | + | 2.00642i | −0.493146 | + | 0.144801i | ||||
\(193\) | −8.23269 | + | 9.50103i | −0.592602 | + | 0.683899i | −0.970265 | − | 0.242044i | \(-0.922182\pi\) |
0.377663 | + | 0.925943i | \(0.376728\pi\) | |||||||
\(194\) | −1.33013 | + | 5.48288i | −0.0954979 | + | 0.393648i | ||||
\(195\) | −1.51442 | + | 2.12671i | −0.108450 | + | 0.152297i | ||||
\(196\) | −0.415442 | + | 0.909690i | −0.0296744 | + | 0.0649779i | ||||
\(197\) | 0.281615 | + | 5.91182i | 0.0200642 | + | 0.421200i | 0.986446 | + | 0.164088i | \(0.0524680\pi\) |
−0.966382 | + | 0.257112i | \(0.917229\pi\) | |||||||
\(198\) | −0.281736 | − | 1.95952i | −0.0200221 | − | 0.139257i | ||||
\(199\) | −16.0468 | − | 15.3006i | −1.13752 | − | 1.08463i | −0.995500 | − | 0.0947648i | \(-0.969790\pi\) |
−0.142025 | − | 0.989863i | \(-0.545361\pi\) | |||||||
\(200\) | 3.19113 | 0.225647 | ||||||||
\(201\) | 2.73902 | + | 7.71348i | 0.193196 | + | 0.544067i | ||||
\(202\) | 2.35266 | 0.165532 | ||||||||
\(203\) | −4.37778 | − | 4.17420i | −0.307260 | − | 0.292972i | ||||
\(204\) | 0.159401 | + | 1.10866i | 0.0111603 | + | 0.0776215i | ||||
\(205\) | 0.252070 | + | 5.29160i | 0.0176053 | + | 0.369582i | ||||
\(206\) | −6.73515 | + | 14.7479i | −0.469260 | + | 1.02754i | ||||
\(207\) | 4.70393 | − | 6.60575i | 0.326946 | − | 0.459131i | ||||
\(208\) | 1.36799 | − | 5.63892i | 0.0948528 | − | 0.390989i | ||||
\(209\) | 2.32129 | − | 2.67891i | 0.160567 | − | 0.185304i | ||||
\(210\) | 3.54196 | − | 1.04001i | 0.244418 | − | 0.0717677i | ||||
\(211\) | −10.9662 | + | 4.39020i | −0.754944 | + | 0.302234i | −0.717026 | − | 0.697047i | \(-0.754497\pi\) |
−0.0379184 | + | 0.999281i | \(0.512073\pi\) | |||||||
\(212\) | 1.31190 | + | 1.84231i | 0.0901020 | + | 0.126531i | ||||
\(213\) | 13.9455 | − | 2.68777i | 0.955529 | − | 0.184163i | ||||
\(214\) | −4.58480 | + | 13.2469i | −0.313410 | + | 0.905539i | ||||
\(215\) | 1.78260 | − | 1.14561i | 0.121572 | − | 0.0781299i | ||||
\(216\) | 2.57302 | + | 0.755507i | 0.175072 | + | 0.0514057i | ||||
\(217\) | 4.74621 | − | 0.453208i | 0.322194 | − | 0.0307658i | ||||
\(218\) | 0.397270 | − | 8.33973i | 0.0269065 | − | 0.564838i | ||||
\(219\) | −3.98731 | − | 2.05560i | −0.269437 | − | 0.138905i | ||||
\(220\) | 0.114863 | + | 0.473473i | 0.00774408 | + | 0.0319215i | ||||
\(221\) | 7.46015 | + | 2.98659i | 0.501824 | + | 0.200900i | ||||
\(222\) | −4.79671 | − | 0.458030i | −0.321934 | − | 0.0307410i | ||||
\(223\) | −0.329092 | + | 2.28889i | −0.0220377 | + | 0.153275i | −0.997869 | − | 0.0652500i | \(-0.979216\pi\) |
0.975831 | + | 0.218525i | \(0.0701246\pi\) | |||||||
\(224\) | −1.05693 | + | 0.831181i | −0.0706193 | + | 0.0555356i | ||||
\(225\) | −1.00108 | − | 0.643357i | −0.0667389 | − | 0.0428905i | ||||
\(226\) | −7.75079 | − | 8.94488i | −0.515575 | − | 0.595005i | ||||
\(227\) | −3.87454 | + | 1.99746i | −0.257162 | + | 0.132576i | −0.581988 | − | 0.813198i | \(-0.697725\pi\) |
0.324825 | + | 0.945774i | \(0.394694\pi\) | |||||||
\(228\) | −0.205052 | − | 0.449001i | −0.0135799 | − | 0.0297358i | ||||
\(229\) | −20.6786 | − | 3.98547i | −1.36648 | − | 0.263367i | −0.547315 | − | 0.836927i | \(-0.684350\pi\) |
−0.819164 | + | 0.573559i | \(0.805562\pi\) | |||||||
\(230\) | −11.7029 | + | 20.2699i | −0.771663 | + | 1.33656i | ||||
\(231\) | 0.856178 | + | 1.48294i | 0.0563324 | + | 0.0975706i | ||||
\(232\) | 4.14805 | + | 11.9850i | 0.272333 | + | 0.786854i | ||||
\(233\) | −12.7371 | − | 10.0166i | −0.834437 | − | 0.656208i | 0.106679 | − | 0.994294i | \(-0.465978\pi\) |
−0.941115 | + | 0.338085i | \(0.890221\pi\) | |||||||
\(234\) | −1.43140 | + | 1.36483i | −0.0935734 | + | 0.0892220i | ||||
\(235\) | −5.11943 | + | 4.88136i | −0.333955 | + | 0.318425i | ||||
\(236\) | −0.447020 | − | 0.351540i | −0.0290985 | − | 0.0228833i | ||||
\(237\) | 3.11264 | + | 8.99339i | 0.202188 | + | 0.584184i | ||||
\(238\) | −5.68097 | − | 9.83973i | −0.368243 | − | 0.637815i | ||||
\(239\) | 13.6647 | − | 23.6679i | 0.883894 | − | 1.53095i | 0.0369183 | − | 0.999318i | \(-0.488246\pi\) |
0.846976 | − | 0.531631i | \(-0.178421\pi\) | |||||||
\(240\) | −8.31464 | − | 1.60252i | −0.536708 | − | 0.103442i | ||||
\(241\) | 2.07793 | + | 4.55003i | 0.133851 | + | 0.293093i | 0.964675 | − | 0.263442i | \(-0.0848578\pi\) |
−0.830824 | + | 0.556535i | \(0.812130\pi\) | |||||||
\(242\) | 12.1013 | − | 6.23867i | 0.777904 | − | 0.401037i | ||||
\(243\) | −0.654861 | − | 0.755750i | −0.0420093 | − | 0.0484814i | ||||
\(244\) | 1.38604 | + | 0.890751i | 0.0887318 | + | 0.0570245i | ||||
\(245\) | 8.23032 | − | 6.47240i | 0.525816 | − | 0.413506i | ||||
\(246\) | −0.571130 | + | 3.97229i | −0.0364139 | + | 0.253264i | ||||
\(247\) | −3.52532 | − | 0.336627i | −0.224310 | − | 0.0214190i | ||||
\(248\) | −9.28046 | − | 3.71534i | −0.589310 | − | 0.235924i | ||||
\(249\) | 0.407433 | + | 1.67946i | 0.0258200 | + | 0.106431i | ||||
\(250\) | 15.8797 | + | 8.18656i | 1.00432 | + | 0.517764i | ||||
\(251\) | −0.681120 | + | 14.2985i | −0.0429919 | + | 0.902511i | 0.869629 | + | 0.493705i | \(0.164358\pi\) |
−0.912621 | + | 0.408806i | \(0.865945\pi\) | |||||||
\(252\) | 0.237370 | − | 0.0226661i | 0.0149529 | − | 0.00142783i | ||||
\(253\) | −10.4173 | − | 3.05880i | −0.654932 | − | 0.192305i | ||||
\(254\) | 4.81769 | − | 3.09614i | 0.302289 | − | 0.194269i | ||||
\(255\) | 3.83544 | − | 11.0818i | 0.240185 | − | 0.693968i | ||||
\(256\) | 4.35657 | − | 0.839661i | 0.272286 | − | 0.0524788i | ||||
\(257\) | 6.88739 | + | 9.67198i | 0.429623 | + | 0.603322i | 0.971472 | − | 0.237155i | \(-0.0762148\pi\) |
−0.541849 | + | 0.840476i | \(0.682275\pi\) | |||||||
\(258\) | 1.49023 | − | 0.596597i | 0.0927776 | − | 0.0371425i | ||||
\(259\) | 3.99906 | − | 1.17423i | 0.248490 | − | 0.0729631i | ||||
\(260\) | 0.318751 | − | 0.367858i | 0.0197681 | − | 0.0228136i | ||||
\(261\) | 1.11499 | − | 4.59607i | 0.0690165 | − | 0.284490i | ||||
\(262\) | 15.7214 | − | 22.0776i | 0.971272 | − | 1.36396i | ||||
\(263\) | −7.91467 | + | 17.3307i | −0.488040 | + | 1.06866i | 0.492134 | + | 0.870519i | \(0.336217\pi\) |
−0.980174 | + | 0.198138i | \(0.936510\pi\) | |||||||
\(264\) | −0.170831 | − | 3.58619i | −0.0105139 | − | 0.220715i | ||||
\(265\) | −3.36992 | − | 23.4383i | −0.207012 | − | 1.43980i | ||||
\(266\) | 3.62388 | + | 3.45536i | 0.222194 | + | 0.211862i | ||||
\(267\) | −7.98741 | −0.488822 | ||||||||
\(268\) | −0.371639 | − | 1.48009i | −0.0227015 | − | 0.0904106i | ||||
\(269\) | 28.2645 | 1.72332 | 0.861659 | − | 0.507487i | \(-0.169425\pi\) | ||||
0.861659 | + | 0.507487i | \(0.169425\pi\) | |||||||
\(270\) | 2.08886 | + | 1.99173i | 0.127124 | + | 0.121213i | ||||
\(271\) | −4.47193 | − | 31.1030i | −0.271650 | − | 1.88937i | −0.431319 | − | 0.902199i | \(-0.641952\pi\) |
0.159669 | − | 0.987171i | \(-0.448957\pi\) | |||||||
\(272\) | 1.24010 | + | 26.0329i | 0.0751921 | + | 1.57848i | ||||
\(273\) | 0.710666 | − | 1.55614i | 0.0430115 | − | 0.0941819i | ||||
\(274\) | 5.73583 | − | 8.05484i | 0.346514 | − | 0.486611i | ||||
\(275\) | −0.375608 | + | 1.54828i | −0.0226500 | + | 0.0933648i | ||||
\(276\) | −0.990069 | + | 1.14260i | −0.0595951 | + | 0.0687765i | ||||
\(277\) | 26.2037 | − | 7.69411i | 1.57443 | − | 0.462294i | 0.626143 | − | 0.779708i | \(-0.284633\pi\) |
0.948287 | + | 0.317414i | \(0.102815\pi\) | |||||||
\(278\) | 31.8467 | − | 12.7495i | 1.91004 | − | 0.764664i | ||||
\(279\) | 2.16231 | + | 3.03654i | 0.129454 | + | 0.181793i | ||||
\(280\) | 6.57377 | − | 1.26699i | 0.392858 | − | 0.0757172i | ||||
\(281\) | −4.94911 | + | 14.2995i | −0.295239 | + | 0.853038i | 0.695653 | + | 0.718378i | \(0.255115\pi\) |
−0.990892 | + | 0.134660i | \(0.957006\pi\) | |||||||
\(282\) | −4.50790 | + | 2.89705i | −0.268442 | + | 0.172517i | ||||
\(283\) | 20.8351 | + | 6.11774i | 1.23852 | + | 0.363662i | 0.834458 | − | 0.551071i | \(-0.185781\pi\) |
0.404060 | + | 0.914733i | \(0.367599\pi\) | |||||||
\(284\) | −2.63578 | + | 0.251686i | −0.156405 | + | 0.0149348i | ||||
\(285\) | −0.245901 | + | 5.16210i | −0.0145659 | + | 0.305777i | ||||
\(286\) | 2.35357 | + | 1.21335i | 0.139169 | + | 0.0717468i | ||||
\(287\) | −0.818380 | − | 3.37341i | −0.0483074 | − | 0.199126i | ||||
\(288\) | −0.975990 | − | 0.390728i | −0.0575108 | − | 0.0230238i | ||||
\(289\) | −19.0070 | − | 1.81495i | −1.11806 | − | 0.106762i | ||||
\(290\) | −1.94261 | + | 13.5112i | −0.114074 | + | 0.793403i | ||||
\(291\) | 2.99923 | − | 2.35862i | 0.175818 | − | 0.138265i | ||||
\(292\) | 0.703576 | + | 0.452161i | 0.0411737 | + | 0.0264607i | ||||
\(293\) | 4.73330 | + | 5.46252i | 0.276522 | + | 0.319124i | 0.876974 | − | 0.480537i | \(-0.159558\pi\) |
−0.600452 | + | 0.799661i | \(0.705013\pi\) | |||||||
\(294\) | 7.05004 | − | 3.63455i | 0.411167 | − | 0.211971i | ||||
\(295\) | 2.47340 | + | 5.41599i | 0.144007 | + | 0.315331i | ||||
\(296\) | −8.58079 | − | 1.65381i | −0.498748 | − | 0.0961259i | ||||
\(297\) | −0.669413 | + | 1.15946i | −0.0388433 | + | 0.0672785i | ||||
\(298\) | −12.3053 | − | 21.3133i | −0.712825 | − | 1.23465i | ||||
\(299\) | 3.54766 | + | 10.2503i | 0.205166 | + | 0.592789i | ||||
\(300\) | 0.174390 | + | 0.137142i | 0.0100684 | + | 0.00791788i | ||||
\(301\) | −1.00488 | + | 0.958150i | −0.0579202 | + | 0.0552268i | ||||
\(302\) | 15.3946 | − | 14.6787i | 0.885860 | − | 0.844666i | ||||
\(303\) | −1.25067 | − | 0.983537i | −0.0718490 | − | 0.0565027i | ||||
\(304\) | −3.75660 | − | 10.8540i | −0.215456 | − | 0.622518i | ||||
\(305\) | −8.62491 | − | 14.9388i | −0.493861 | − | 0.855392i | ||||
\(306\) | 4.44173 | − | 7.69331i | 0.253917 | − | 0.439797i | ||||
\(307\) | −10.9062 | − | 2.10199i | −0.622449 | − | 0.119967i | −0.131731 | − | 0.991286i | \(-0.542053\pi\) |
−0.490718 | + | 0.871318i | \(0.663265\pi\) | |||||||
\(308\) | −0.132618 | − | 0.290393i | −0.00755661 | − | 0.0165467i | ||||
\(309\) | 9.74581 | − | 5.02432i | 0.554420 | − | 0.285823i | ||||
\(310\) | −7.04577 | − | 8.13125i | −0.400173 | − | 0.461824i | ||||
\(311\) | 26.6273 | + | 17.1123i | 1.50990 | + | 0.970352i | 0.993479 | + | 0.114016i | \(0.0363715\pi\) |
0.516419 | + | 0.856336i | \(0.327265\pi\) | |||||||
\(312\) | −2.81946 | + | 2.21725i | −0.159621 | + | 0.125527i | ||||
\(313\) | −3.78398 | + | 26.3182i | −0.213883 | + | 1.48759i | 0.546140 | + | 0.837694i | \(0.316097\pi\) |
−0.760023 | + | 0.649896i | \(0.774812\pi\) | |||||||
\(314\) | 13.0546 | + | 1.24657i | 0.736716 | + | 0.0703478i | ||||
\(315\) | −2.31768 | − | 0.927859i | −0.130586 | − | 0.0522789i | ||||
\(316\) | −0.418298 | − | 1.72425i | −0.0235311 | − | 0.0969965i | ||||
\(317\) | −0.433359 | − | 0.223412i | −0.0243399 | − | 0.0125481i | 0.446014 | − | 0.895026i | \(-0.352843\pi\) |
−0.470353 | + | 0.882478i | \(0.655874\pi\) | |||||||
\(318\) | 0.853524 | − | 17.9177i | 0.0478633 | − | 1.00477i | ||||
\(319\) | −6.30315 | + | 0.601878i | −0.352909 | + | 0.0336987i | ||||
\(320\) | −13.3380 | − | 3.91638i | −0.745614 | − | 0.218932i | ||||
\(321\) | 7.97518 | − | 5.12534i | 0.445131 | − | 0.286069i | ||||
\(322\) | 5.01611 | − | 14.4931i | 0.279537 | − | 0.807669i | ||||
\(323\) | 15.6189 | − | 3.01029i | 0.869058 | − | 0.167497i | ||||
\(324\) | 0.108143 | + | 0.151865i | 0.00600792 | + | 0.00843694i | ||||
\(325\) | 1.47767 | − | 0.591568i | 0.0819662 | − | 0.0328143i | ||||
\(326\) | −25.2625 | + | 7.41774i | −1.39916 | + | 0.410831i | ||||
\(327\) | −3.69764 | + | 4.26731i | −0.204480 | + | 0.235983i | ||||
\(328\) | −1.71588 | + | 7.07294i | −0.0947434 | + | 0.390538i | ||||
\(329\) | 2.68856 | − | 3.77556i | 0.148225 | − | 0.208153i | ||||
\(330\) | 1.60523 | − | 3.51497i | 0.0883650 | − | 0.193492i | ||||
\(331\) | −0.836877 | − | 17.5682i | −0.0459989 | − | 0.965636i | −0.897426 | − | 0.441164i | \(-0.854566\pi\) |
0.851428 | − | 0.524472i | \(-0.175737\pi\) | |||||||
\(332\) | −0.0458526 | − | 0.318912i | −0.00251649 | − | 0.0175026i | ||||
\(333\) | 2.35844 | + | 2.24877i | 0.129242 | + | 0.123232i | ||||
\(334\) | 17.5434 | 0.959933 | ||||||||
\(335\) | −3.64231 | + | 15.5565i | −0.199001 | + | 0.849942i | ||||
\(336\) | 5.54844 | 0.302692 | ||||||||
\(337\) | 15.8902 | + | 15.1513i | 0.865596 | + | 0.825344i | 0.985890 | − | 0.167394i | \(-0.0535351\pi\) |
−0.120294 | + | 0.992738i | \(0.538384\pi\) | |||||||
\(338\) | 2.35918 | + | 16.4084i | 0.128322 | + | 0.892501i | ||||
\(339\) | 0.380865 | + | 7.99533i | 0.0206857 | + | 0.434247i | ||||
\(340\) | −0.908208 | + | 1.98870i | −0.0492545 | + | 0.107852i | ||||
\(341\) | 2.89496 | − | 4.06540i | 0.156771 | − | 0.220154i | ||||
\(342\) | −0.922980 | + | 3.80458i | −0.0499090 | + | 0.205728i | ||||
\(343\) | −10.3558 | + | 11.9512i | −0.559161 | + | 0.645306i | ||||
\(344\) | 2.79324 | − | 0.820168i | 0.150601 | − | 0.0442205i | ||||
\(345\) | 14.6951 | − | 5.88305i | 0.791160 | − | 0.316733i | ||||
\(346\) | −7.02620 | − | 9.86692i | −0.377731 | − | 0.530449i | ||||
\(347\) | 14.5685 | − | 2.80785i | 0.782079 | − | 0.150733i | 0.217443 | − | 0.976073i | \(-0.430229\pi\) |
0.564636 | + | 0.825340i | \(0.309016\pi\) | |||||||
\(348\) | −0.288382 | + | 0.833226i | −0.0154589 | + | 0.0446656i | ||||
\(349\) | −12.5993 | + | 8.09707i | −0.674424 | + | 0.433426i | −0.832518 | − | 0.553998i | \(-0.813102\pi\) |
0.158094 | + | 0.987424i | \(0.449465\pi\) | |||||||
\(350\) | −2.15935 | − | 0.634043i | −0.115422 | − | 0.0338910i | ||||
\(351\) | 1.33150 | − | 0.127143i | 0.0710704 | − | 0.00678640i | ||||
\(352\) | −0.0669717 | + | 1.40591i | −0.00356960 | + | 0.0749352i | ||||
\(353\) | 19.5839 | + | 10.0962i | 1.04234 | + | 0.537366i | 0.892361 | − | 0.451323i | \(-0.149048\pi\) |
0.149983 | + | 0.988689i | \(0.452078\pi\) | |||||||
\(354\) | 1.06337 | + | 4.38328i | 0.0565176 | + | 0.232969i | ||||
\(355\) | 25.7358 | + | 10.3030i | 1.36591 | + | 0.546829i | ||||
\(356\) | 1.48239 | + | 0.141551i | 0.0785663 | + | 0.00750217i | ||||
\(357\) | −1.09354 | + | 7.60574i | −0.0578763 | + | 0.402538i | ||||
\(358\) | −16.1989 | + | 12.7389i | −0.856137 | + | 0.673273i | ||||
\(359\) | −17.0529 | − | 10.9592i | −0.900018 | − | 0.578407i | 0.00677744 | − | 0.999977i | \(-0.497843\pi\) |
−0.906796 | + | 0.421570i | \(0.861479\pi\) | |||||||
\(360\) | 3.42778 | + | 3.95587i | 0.180660 | + | 0.208493i | ||||
\(361\) | 10.6572 | − | 5.49418i | 0.560907 | − | 0.289167i | ||||
\(362\) | 0.319453 | + | 0.699504i | 0.0167901 | + | 0.0367651i | ||||
\(363\) | −9.04115 | − | 1.74254i | −0.474538 | − | 0.0914596i | ||||
\(364\) | −0.159470 | + | 0.276210i | −0.00835850 | + | 0.0144774i | ||||
\(365\) | −4.37816 | − | 7.58319i | −0.229163 | − | 0.396922i | ||||
\(366\) | −4.27393 | − | 12.3487i | −0.223402 | − | 0.645478i | ||||
\(367\) | 7.95154 | + | 6.25316i | 0.415067 | + | 0.326412i | 0.803758 | − | 0.594956i | \(-0.202830\pi\) |
−0.388692 | + | 0.921368i | \(0.627073\pi\) | |||||||
\(368\) | −25.4607 | + | 24.2767i | −1.32723 | + | 1.26551i | ||||
\(369\) | 1.96424 | − | 1.87290i | 0.102254 | − | 0.0974994i | ||||
\(370\) | −7.39314 | − | 5.81403i | −0.384351 | − | 0.302257i | ||||
\(371\) | 5.07474 | + | 14.6625i | 0.263467 | + | 0.761239i | ||||
\(372\) | −0.347491 | − | 0.601873i | −0.0180166 | − | 0.0312056i | ||||
\(373\) | −7.55548 | + | 13.0865i | −0.391208 | + | 0.677592i | −0.992609 | − | 0.121355i | \(-0.961276\pi\) |
0.601401 | + | 0.798947i | \(0.294609\pi\) | |||||||
\(374\) | −11.6785 | − | 2.25084i | −0.603880 | − | 0.116388i | ||||
\(375\) | −5.01921 | − | 10.9905i | −0.259191 | − | 0.567549i | ||||
\(376\) | −8.63778 | + | 4.45308i | −0.445459 | + | 0.229650i | ||||
\(377\) | 4.14254 | + | 4.78075i | 0.213352 | + | 0.246221i | ||||
\(378\) | −1.59098 | − | 1.02246i | −0.0818313 | − | 0.0525898i | ||||
\(379\) | 10.0217 | − | 7.88116i | 0.514780 | − | 0.404828i | −0.326690 | − | 0.945132i | \(-0.605933\pi\) |
0.841470 | + | 0.540304i | \(0.181691\pi\) | |||||||
\(380\) | 0.137118 | − | 0.953678i | 0.00703402 | − | 0.0489226i | ||||
\(381\) | −3.85543 | − | 0.368149i | −0.197520 | − | 0.0188609i | ||||
\(382\) | −11.8035 | − | 4.72541i | −0.603920 | − | 0.241773i | ||||
\(383\) | −4.21249 | − | 17.3641i | −0.215248 | − | 0.887266i | −0.972267 | − | 0.233873i | \(-0.924860\pi\) |
0.757019 | − | 0.653393i | \(-0.226655\pi\) | |||||||
\(384\) | −11.2288 | − | 5.78886i | −0.573018 | − | 0.295411i | ||||
\(385\) | −0.159037 | + | 3.33861i | −0.00810530 | + | 0.170151i | ||||
\(386\) | −18.5050 | + | 1.76702i | −0.941882 | + | 0.0899388i | ||||
\(387\) | −1.04161 | − | 0.305845i | −0.0529481 | − | 0.0155470i | ||||
\(388\) | −0.598427 | + | 0.384586i | −0.0303805 | + | 0.0195244i | ||||
\(389\) | 6.74149 | − | 19.4783i | 0.341807 | − | 0.987587i | −0.634823 | − | 0.772658i | \(-0.718927\pi\) |
0.976630 | − | 0.214929i | \(-0.0689520\pi\) | |||||||
\(390\) | −3.79074 | + | 0.730606i | −0.191952 | + | 0.0369957i | ||||
\(391\) | −28.2602 | − | 39.6859i | −1.42918 | − | 2.00700i | ||||
\(392\) | 13.3544 | − | 5.34628i | 0.674498 | − | 0.270028i | ||||
\(393\) | −17.5871 | + | 5.16404i | −0.887153 | + | 0.260492i | ||||
\(394\) | −5.73100 | + | 6.61393i | −0.288724 | + | 0.333205i | ||||
\(395\) | −4.37948 | + | 18.0525i | −0.220356 | + | 0.908318i | ||||
\(396\) | 0.144784 | − | 0.203321i | 0.00727567 | − | 0.0102172i | ||||
\(397\) | −15.2723 | + | 33.4417i | −0.766496 | + | 1.67839i | −0.0322761 | + | 0.999479i | \(0.510276\pi\) |
−0.734219 | + | 0.678912i | \(0.762452\pi\) | |||||||
\(398\) | −1.55998 | − | 32.7480i | −0.0781947 | − | 1.64151i | ||||
\(399\) | −0.481922 | − | 3.35184i | −0.0241263 | − | 0.167802i | ||||
\(400\) | 3.73614 | + | 3.56240i | 0.186807 | + | 0.178120i | ||||
\(401\) | −8.23091 | −0.411032 | −0.205516 | − | 0.978654i | \(-0.565887\pi\) | ||||
−0.205516 | + | 0.978654i | \(0.565887\pi\) | |||||||
\(402\) | −4.93959 | + | 11.0495i | −0.246364 | + | 0.551099i | ||||
\(403\) | −4.98610 | −0.248375 | ||||||||
\(404\) | 0.214682 | + | 0.204699i | 0.0106808 | + | 0.0101841i | ||||
\(405\) | −0.277788 | − | 1.93206i | −0.0138034 | − | 0.0960047i | ||||
\(406\) | −0.425584 | − | 8.93410i | −0.0211214 | − | 0.443392i | ||||
\(407\) | 1.81239 | − | 3.96858i | 0.0898369 | − | 0.196715i | ||||
\(408\) | 9.34515 | − | 13.1234i | 0.462654 | − | 0.649707i | ||||
\(409\) | −5.15740 | + | 21.2591i | −0.255017 | + | 1.05120i | 0.689905 | + | 0.723900i | \(0.257652\pi\) |
−0.944922 | + | 0.327295i | \(0.893863\pi\) | |||||||
\(410\) | −5.12975 | + | 5.92005i | −0.253341 | + | 0.292371i | ||||
\(411\) | −6.41651 | + | 1.88406i | −0.316503 | + | 0.0929337i | ||||
\(412\) | −1.89777 | + | 0.759751i | −0.0934962 | + | 0.0374302i | ||||
\(413\) | −2.26303 | − | 3.17798i | −0.111356 | − | 0.156378i | ||||
\(414\) | 11.7744 | − | 2.26933i | 0.578680 | − | 0.111531i | ||||
\(415\) | −1.10329 | + | 3.18774i | −0.0541583 | + | 0.156480i | ||||
\(416\) | 1.18295 | − | 0.760234i | 0.0579988 | − | 0.0372735i | ||||
\(417\) | −22.2596 | − | 6.53601i | −1.09006 | − | 0.320070i | ||||
\(418\) | 5.21768 | − | 0.498228i | 0.255205 | − | 0.0243691i | ||||
\(419\) | −0.333988 | + | 7.01127i | −0.0163164 | + | 0.342523i | 0.975918 | + | 0.218139i | \(0.0699986\pi\) |
−0.992234 | + | 0.124384i | \(0.960304\pi\) | |||||||
\(420\) | 0.413695 | + | 0.213275i | 0.0201863 | + | 0.0104067i | ||||
\(421\) | 7.89410 | + | 32.5399i | 0.384735 | + | 1.58590i | 0.754193 | + | 0.656652i | \(0.228028\pi\) |
−0.369458 | + | 0.929247i | \(0.620457\pi\) | |||||||
\(422\) | −16.2153 | − | 6.49161i | −0.789347 | − | 0.316007i | ||||
\(423\) | 3.60752 | + | 0.344476i | 0.175403 | + | 0.0167490i | ||||
\(424\) | 4.62975 | − | 32.2006i | 0.224840 | − | 1.56380i | ||||
\(425\) | −5.61965 | + | 4.41934i | −0.272593 | + | 0.214370i | ||||
\(426\) | 17.6664 | + | 11.3535i | 0.855941 | + | 0.550080i | ||||
\(427\) | 7.40186 | + | 8.54220i | 0.358201 | + | 0.413386i | ||||
\(428\) | −1.57095 | + | 0.809879i | −0.0759345 | + | 0.0391470i | ||||
\(429\) | −0.743908 | − | 1.62893i | −0.0359162 | − | 0.0786455i | ||||
\(430\) | 3.07663 | + | 0.592972i | 0.148368 | + | 0.0285957i | ||||
\(431\) | −12.0442 | + | 20.8611i | −0.580147 | + | 1.00484i | 0.415315 | + | 0.909678i | \(0.363671\pi\) |
−0.995461 | + | 0.0951657i | \(0.969662\pi\) | |||||||
\(432\) | 2.16906 | + | 3.75691i | 0.104359 | + | 0.180755i | ||||
\(433\) | 7.59852 | + | 21.9545i | 0.365162 | + | 1.05507i | 0.966632 | + | 0.256170i | \(0.0824608\pi\) |
−0.601470 | + | 0.798895i | \(0.705418\pi\) | |||||||
\(434\) | 5.54164 | + | 4.35799i | 0.266007 | + | 0.209190i | ||||
\(435\) | 6.68108 | − | 6.37040i | 0.320333 | − | 0.305437i | ||||
\(436\) | 0.761870 | − | 0.726441i | 0.0364869 | − | 0.0347902i | ||||
\(437\) | 16.8771 | + | 13.2723i | 0.807342 | + | 0.634901i | ||||
\(438\) | −2.16952 | − | 6.26843i | −0.103664 | − | 0.299517i | ||||
\(439\) | 1.45314 | + | 2.51690i | 0.0693544 | + | 0.120125i | 0.898617 | − | 0.438733i | \(-0.144573\pi\) |
−0.829263 | + | 0.558859i | \(0.811239\pi\) | |||||||
\(440\) | 3.50396 | − | 6.06903i | 0.167045 | − | 0.289330i | ||||
\(441\) | −5.26722 | − | 1.01517i | −0.250820 | − | 0.0483416i | ||||
\(442\) | 4.93603 | + | 10.8084i | 0.234783 | + | 0.514103i | ||||
\(443\) | −13.1695 | + | 6.78937i | −0.625704 | + | 0.322573i | −0.741756 | − | 0.670670i | \(-0.766007\pi\) |
0.116051 | + | 0.993243i | \(0.462976\pi\) | |||||||
\(444\) | −0.397851 | − | 0.459145i | −0.0188812 | − | 0.0217901i | ||||
\(445\) | −13.1158 | − | 8.42904i | −0.621750 | − | 0.399575i | ||||
\(446\) | −2.68774 | + | 2.11366i | −0.127268 | + | 0.100085i | ||||
\(447\) | −2.36866 | + | 16.4744i | −0.112034 | + | 0.779212i | ||||
\(448\) | 9.06742 | + | 0.865833i | 0.428395 | + | 0.0409068i | ||||
\(449\) | −26.3623 | − | 10.5539i | −1.24411 | − | 0.498067i | −0.346166 | − | 0.938173i | \(-0.612517\pi\) |
−0.897946 | + | 0.440106i | \(0.854941\pi\) | |||||||
\(450\) | −0.414839 | − | 1.70999i | −0.0195557 | − | 0.0806097i | ||||
\(451\) | −3.22970 | − | 1.66502i | −0.152080 | − | 0.0784029i | ||||
\(452\) | 0.0710062 | − | 1.49060i | 0.00333985 | − | 0.0701121i | ||||
\(453\) | −14.3202 | + | 1.36742i | −0.672824 | + | 0.0642469i | ||||
\(454\) | −6.18456 | − | 1.81595i | −0.290256 | − | 0.0852268i | ||||
\(455\) | 2.80914 | − | 1.80532i | 0.131694 | − | 0.0846349i | ||||
\(456\) | −2.32218 | + | 6.70949i | −0.108746 | + | 0.314201i | ||||
\(457\) | 34.6948 | − | 6.68688i | 1.62296 | − | 0.312799i | 0.704917 | − | 0.709290i | \(-0.250984\pi\) |
0.918039 | + | 0.396491i | \(0.129772\pi\) | |||||||
\(458\) | −18.0626 | − | 25.3653i | −0.844009 | − | 1.18524i | ||||
\(459\) | −5.57743 | + | 2.23287i | −0.260332 | + | 0.104221i | ||||
\(460\) | −2.83153 | + | 0.831413i | −0.132021 | + | 0.0387648i | ||||
\(461\) | 8.56951 | − | 9.88974i | 0.399122 | − | 0.460611i | −0.520242 | − | 0.854019i | \(-0.674158\pi\) |
0.919364 | + | 0.393408i | \(0.128704\pi\) | |||||||
\(462\) | −0.596940 | + | 2.46062i | −0.0277722 | + | 0.114478i | ||||
\(463\) | 17.2453 | − | 24.2177i | 0.801459 | − | 1.12549i | −0.188211 | − | 0.982129i | \(-0.560269\pi\) |
0.989670 | − | 0.143363i | \(-0.0457917\pi\) | |||||||
\(464\) | −8.52290 | + | 18.6626i | −0.395666 | + | 0.866387i | ||||
\(465\) | 0.346221 | + | 7.26807i | 0.0160556 | + | 0.337048i | ||||
\(466\) | −3.40987 | − | 23.7162i | −0.157959 | − | 1.09863i | ||||
\(467\) | 6.36043 | + | 6.06466i | 0.294326 | + | 0.280639i | 0.822825 | − | 0.568295i | \(-0.192397\pi\) |
−0.528499 | + | 0.848934i | \(0.677245\pi\) | |||||||
\(468\) | −0.249367 | −0.0115270 | ||||||||
\(469\) | 0.414384 | − | 10.4609i | 0.0191345 | − | 0.483037i | ||||
\(470\) | −10.4595 | −0.482460 | ||||||||
\(471\) | −6.41869 | − | 6.12021i | −0.295758 | − | 0.282004i | ||||
\(472\) | 1.16413 | + | 8.09668i | 0.0535833 | + | 0.372680i | ||||
\(473\) | 0.0691561 | + | 1.45176i | 0.00317980 | + | 0.0667522i | ||||
\(474\) | −5.84577 | + | 12.8005i | −0.268505 | + | 0.587944i | ||||
\(475\) | 1.82755 | − | 2.56644i | 0.0838538 | − | 0.117756i | ||||
\(476\) | 0.337737 | − | 1.39217i | 0.0154801 | − | 0.0638100i | ||||
\(477\) | −7.94428 | + | 9.16819i | −0.363744 | + | 0.419783i | ||||
\(478\) | 38.7739 | − | 11.3850i | 1.77348 | − | 0.520739i | ||||
\(479\) | 19.4047 | − | 7.76846i | 0.886622 | − | 0.354950i | 0.116760 | − | 0.993160i | \(-0.462749\pi\) |
0.769862 | + | 0.638210i | \(0.220325\pi\) | |||||||
\(480\) | −1.19031 | − | 1.67155i | −0.0543298 | − | 0.0762956i | ||||
\(481\) | −4.27995 | + | 0.824893i | −0.195149 | + | 0.0376119i | ||||
\(482\) | −2.41910 | + | 6.98954i | −0.110187 | + | 0.318365i | ||||
\(483\) | −8.72545 | + | 5.60750i | −0.397022 | + | 0.255150i | ||||
\(484\) | 1.64707 | + | 0.483623i | 0.0748667 | + | 0.0219829i | ||||
\(485\) | 7.41397 | − | 0.707948i | 0.336651 | − | 0.0321463i | ||||
\(486\) | 0.0703575 | − | 1.47698i | 0.00319148 | − | 0.0669974i | ||||
\(487\) | 1.61375 | + | 0.831946i | 0.0731260 | + | 0.0376991i | 0.494402 | − | 0.869234i | \(-0.335387\pi\) |
−0.421276 | + | 0.906933i | \(0.638418\pi\) | |||||||
\(488\) | −5.58716 | − | 23.0306i | −0.252919 | − | 1.04255i | ||||
\(489\) | 16.5305 | + | 6.61782i | 0.747536 | + | 0.299268i | ||||
\(490\) | 15.4121 | + | 1.47168i | 0.696248 | + | 0.0664836i | ||||
\(491\) | −1.43846 | + | 10.0047i | −0.0649168 | + | 0.451506i | 0.931275 | + | 0.364317i | \(0.118698\pi\) |
−0.996192 | + | 0.0871892i | \(0.972212\pi\) | |||||||
\(492\) | −0.397735 | + | 0.312783i | −0.0179313 | + | 0.0141013i | ||||
\(493\) | −23.9026 | − | 15.3613i | −1.07652 | − | 0.691838i | ||||
\(494\) | −3.42915 | − | 3.95745i | −0.154285 | − | 0.178054i | ||||
\(495\) | −2.32278 | + | 1.19748i | −0.104401 | + | 0.0538226i | ||||
\(496\) | −6.71786 | − | 14.7101i | −0.301641 | − | 0.660501i | ||||
\(497\) | −17.8363 | − | 3.43766i | −0.800066 | − | 0.154200i | ||||
\(498\) | −1.27769 | + | 2.21303i | −0.0572547 | + | 0.0991681i | ||||
\(499\) | 19.9635 | + | 34.5777i | 0.893687 | + | 1.54791i | 0.835421 | + | 0.549611i | \(0.185224\pi\) |
0.0582667 | + | 0.998301i | \(0.481443\pi\) | |||||||
\(500\) | 0.736745 | + | 2.12868i | 0.0329482 | + | 0.0951976i | ||||
\(501\) | −9.32605 | − | 7.33409i | −0.416657 | − | 0.327663i | ||||
\(502\) | −15.3189 | + | 14.6066i | −0.683718 | + | 0.651924i | ||||
\(503\) | 7.02961 | − | 6.70272i | 0.313435 | − | 0.298859i | −0.516989 | − | 0.855992i | \(-0.672947\pi\) |
0.830423 | + | 0.557133i | \(0.188099\pi\) | |||||||
\(504\) | −2.69602 | − | 2.12018i | −0.120090 | − | 0.0944401i | ||||
\(505\) | −1.01576 | − | 2.93485i | −0.0452008 | − | 0.130599i | ||||
\(506\) | −8.02699 | − | 13.9032i | −0.356843 | − | 0.618071i | ||||
\(507\) | 5.60547 | − | 9.70895i | 0.248948 | − | 0.431190i | ||||
\(508\) | 0.709006 | + | 0.136650i | 0.0314571 | + | 0.00606285i | ||||
\(509\) | −15.7846 | − | 34.5634i | −0.699639 | − | 1.53200i | −0.840408 | − | 0.541954i | \(-0.817685\pi\) |
0.140769 | − | 0.990042i | \(-0.455043\pi\) | |||||||
\(510\) | 15.4123 | − | 7.94558i | 0.682467 | − | 0.351836i | ||||
\(511\) | 3.75731 | + | 4.33617i | 0.166214 | + | 0.191821i | ||||
\(512\) | −15.7364 | − | 10.1132i | −0.695458 | − | 0.446944i | ||||
\(513\) | 2.08117 | − | 1.63665i | 0.0918860 | − | 0.0722599i | ||||
\(514\) | −2.49863 | + | 17.3784i | −0.110210 | + | 0.766527i | ||||
\(515\) | 21.3054 | + | 2.03441i | 0.938826 | + | 0.0896470i | ||||
\(516\) | 0.187893 | + | 0.0752210i | 0.00827153 | + | 0.00331142i | ||||
\(517\) | −1.14386 | − | 4.71504i | −0.0503067 | − | 0.207367i | ||||
\(518\) | 5.47779 | + | 2.82400i | 0.240680 | + | 0.124079i | ||||
\(519\) | −0.389784 | + | 8.18257i | −0.0171096 | + | 0.359175i | ||||
\(520\) | −6.96958 | + | 0.665514i | −0.305636 | + | 0.0291847i | ||||
\(521\) | −36.3388 | − | 10.6700i | −1.59203 | − | 0.467462i | −0.638716 | − | 0.769442i | \(-0.720534\pi\) |
−0.953314 | + | 0.301980i | \(0.902352\pi\) | |||||||
\(522\) | 5.88301 | − | 3.78078i | 0.257493 | − | 0.165480i | ||||
\(523\) | −9.94939 | + | 28.7469i | −0.435056 | + | 1.25701i | 0.488168 | + | 0.872750i | \(0.337665\pi\) |
−0.923224 | + | 0.384263i | \(0.874456\pi\) | |||||||
\(524\) | 3.35551 | − | 0.646722i | 0.146586 | − | 0.0282522i | ||||
\(525\) | 0.882844 | + | 1.23978i | 0.0385305 | + | 0.0541085i | ||||
\(526\) | −26.1541 | + | 10.4705i | −1.14037 | + | 0.456536i | ||||
\(527\) | 21.4884 | − | 6.30956i | 0.936049 | − | 0.274849i | ||||
\(528\) | 3.80341 | − | 4.38937i | 0.165522 | − | 0.191023i | ||||
\(529\) | 10.0817 | − | 41.5575i | 0.438337 | − | 1.80685i | ||||
\(530\) | 20.3099 | − | 28.5213i | 0.882205 | − | 1.23888i | ||||
\(531\) | 1.26716 | − | 2.77469i | 0.0549900 | − | 0.120411i | ||||
\(532\) | 0.0300396 | + | 0.630609i | 0.00130238 | + | 0.0273404i | ||||
\(533\) | 0.516630 | + | 3.59324i | 0.0223777 | + | 0.155641i | ||||
\(534\) | −8.54778 | − | 8.15029i | −0.369899 | − | 0.352698i | ||||
\(535\) | 18.5045 | 0.800018 | ||||||||
\(536\) | −10.8225 | + | 19.0967i | −0.467462 | + | 0.824853i | ||||
\(537\) | 13.9368 | 0.601419 | ||||||||
\(538\) | 30.2475 | + | 28.8409i | 1.30406 | + | 1.24342i | ||||
\(539\) | 1.02206 | + | 7.10858i | 0.0440232 | + | 0.306188i | ||||
\(540\) | 0.0173153 | + | 0.363494i | 0.000745133 | + | 0.0156423i | ||||
\(541\) | 0.158015 | − | 0.346004i | 0.00679358 | − | 0.0148759i | −0.906205 | − | 0.422839i | \(-0.861034\pi\) |
0.912998 | + | 0.407963i | \(0.133761\pi\) | |||||||
\(542\) | 26.9515 | − | 37.8481i | 1.15767 | − | 1.62572i | ||||
\(543\) | 0.122610 | − | 0.505403i | 0.00526168 | − | 0.0216889i | ||||
\(544\) | −4.13608 | + | 4.77329i | −0.177333 | + | 0.204653i | ||||
\(545\) | −10.5750 | + | 3.10510i | −0.452984 | + | 0.133008i | ||||
\(546\) | 2.34840 | − | 0.940157i | 0.100502 | − | 0.0402350i | ||||
\(547\) | −2.23862 | − | 3.14371i | −0.0957166 | − | 0.134415i | 0.763940 | − | 0.645287i | \(-0.223262\pi\) |
−0.859657 | + | 0.510872i | \(0.829323\pi\) | |||||||
\(548\) | 1.22423 | − | 0.235951i | 0.0522965 | − | 0.0100793i | ||||
\(549\) | −2.89041 | + | 8.35129i | −0.123360 | + | 0.356425i | ||||
\(550\) | −1.98181 | + | 1.27363i | −0.0845047 | + | 0.0543079i | ||||
\(551\) | 12.0144 | + | 3.52775i | 0.511831 | + | 0.150287i | ||||
\(552\) | 21.6482 | − | 2.06715i | 0.921407 | − | 0.0879837i | ||||
\(553\) | 0.579167 | − | 12.1582i | 0.0246287 | − | 0.517019i | ||||
\(554\) | 35.8931 | + | 18.5042i | 1.52495 | + | 0.786167i | ||||
\(555\) | 1.49961 | + | 6.18146i | 0.0636547 | + | 0.262388i | ||||
\(556\) | 4.01534 | + | 1.60750i | 0.170288 | + | 0.0681731i | ||||
\(557\) | −37.4198 | − | 3.57316i | −1.58553 | − | 0.151400i | −0.735274 | − | 0.677770i | \(-0.762947\pi\) |
−0.850255 | + | 0.526370i | \(0.823553\pi\) | |||||||
\(558\) | −0.784452 | + | 5.45598i | −0.0332085 | + | 0.230970i | ||||
\(559\) | 1.14138 | − | 0.897589i | 0.0482751 | − | 0.0379640i | ||||
\(560\) | 9.11089 | + | 5.85521i | 0.385005 | + | 0.247428i | ||||
\(561\) | 5.26729 | + | 6.07878i | 0.222385 | + | 0.256646i | ||||
\(562\) | −19.8874 | + | 10.2527i | −0.838901 | + | 0.432484i | ||||
\(563\) | 5.58487 | + | 12.2292i | 0.235374 | + | 0.515398i | 0.990053 | − | 0.140697i | \(-0.0449343\pi\) |
−0.754678 | + | 0.656095i | \(0.772207\pi\) | |||||||
\(564\) | −0.663415 | − | 0.127863i | −0.0279348 | − | 0.00538399i | ||||
\(565\) | −7.81199 | + | 13.5308i | −0.328653 | + | 0.569243i | ||||
\(566\) | 16.0543 | + | 27.8069i | 0.674813 | + | 1.16881i | ||||
\(567\) | 0.418320 | + | 1.20866i | 0.0175678 | + | 0.0507587i | ||||
\(568\) | 29.9369 | + | 23.5427i | 1.25613 | + | 0.987828i | ||||
\(569\) | 32.6229 | − | 31.1058i | 1.36762 | − | 1.30403i | 0.457783 | − | 0.889064i | \(-0.348644\pi\) |
0.909839 | − | 0.414961i | \(-0.136205\pi\) | |||||||
\(570\) | −5.53052 | + | 5.27334i | −0.231648 | + | 0.220876i | ||||
\(571\) | 13.3258 | + | 10.4795i | 0.557666 | + | 0.438553i | 0.856793 | − | 0.515660i | \(-0.172453\pi\) |
−0.299128 | + | 0.954213i | \(0.596696\pi\) | |||||||
\(572\) | 0.109195 | + | 0.315497i | 0.00456565 | + | 0.0131916i | ||||
\(573\) | 4.29925 | + | 7.44652i | 0.179604 | + | 0.311083i | ||||
\(574\) | 2.56640 | − | 4.44514i | 0.107120 | − | 0.185537i | ||||
\(575\) | −9.47575 | − | 1.82630i | −0.395166 | − | 0.0761620i | ||||
\(576\) | 2.95847 | + | 6.47814i | 0.123269 | + | 0.269922i | ||||
\(577\) | 5.71929 | − | 2.94850i | 0.238097 | − | 0.122748i | −0.335049 | − | 0.942201i | \(-0.608753\pi\) |
0.573146 | + | 0.819453i | \(0.305723\pi\) | |||||||
\(578\) | −18.4885 | − | 21.3369i | −0.769020 | − | 0.887497i | ||||
\(579\) | 10.5760 | + | 6.79676i | 0.439522 | + | 0.282464i | ||||
\(580\) | −1.35284 | + | 1.06388i | −0.0561735 | + | 0.0441753i | ||||
\(581\) | 0.314563 | − | 2.18784i | 0.0130503 | − | 0.0907667i | ||||
\(582\) | 5.61637 | + | 0.536298i | 0.232806 | + | 0.0222303i | ||||
\(583\) | 15.0782 | + | 6.03641i | 0.624476 | + | 0.250002i | ||||
\(584\) | −2.83614 | − | 11.6907i | −0.117360 | − | 0.483766i | ||||
\(585\) | 2.32058 | + | 1.19634i | 0.0959444 | + | 0.0494628i | ||||
\(586\) | −0.508540 | + | 10.6756i | −0.0210076 | + | 0.441004i | ||||
\(587\) | 15.8231 | − | 1.51092i | 0.653090 | − | 0.0623625i | 0.236749 | − | 0.971571i | \(-0.423918\pi\) |
0.416341 | + | 0.909208i | \(0.363312\pi\) | |||||||
\(588\) | 0.959554 | + | 0.281751i | 0.0395714 | + | 0.0116192i | ||||
\(589\) | −8.30292 | + | 5.33596i | −0.342116 | + | 0.219864i | ||||
\(590\) | −2.87951 | + | 8.31979i | −0.118547 | + | 0.342520i | ||||
\(591\) | 5.81157 | − | 1.12009i | 0.239056 | − | 0.0460743i | ||||
\(592\) | −8.20006 | − | 11.5154i | −0.337020 | − | 0.473279i | ||||
\(593\) | −1.00239 | + | 0.401295i | −0.0411631 | + | 0.0164792i | −0.392153 | − | 0.919900i | \(-0.628270\pi\) |
0.350990 | + | 0.936379i | \(0.385845\pi\) | |||||||
\(594\) | −1.89948 | + | 0.557737i | −0.0779365 | + | 0.0228842i | ||||
\(595\) | −9.82192 | + | 11.3351i | −0.402660 | + | 0.464694i | ||||
\(596\) | 0.731554 | − | 3.01551i | 0.0299656 | − | 0.123520i | ||||
\(597\) | −12.8611 | + | 18.0609i | −0.526371 | + | 0.739185i | ||||
\(598\) | −6.66276 | + | 14.5894i | −0.272460 | + | 0.596605i | ||||
\(599\) | −0.396392 | − | 8.32129i | −0.0161961 | − | 0.339999i | −0.992393 | − | 0.123112i | \(-0.960713\pi\) |
0.976197 | − | 0.216887i | \(-0.0695903\pi\) | |||||||
\(600\) | −0.454145 | − | 3.15865i | −0.0185404 | − | 0.128951i | ||||
\(601\) | −30.9869 | − | 29.5459i | −1.26398 | − | 1.20520i | −0.968265 | − | 0.249927i | \(-0.919593\pi\) |
−0.295716 | − | 0.955276i | \(-0.595558\pi\) | |||||||
\(602\) | −2.05307 | −0.0836767 | ||||||||
\(603\) | 7.24516 | − | 3.80888i | 0.295046 | − | 0.155110i | ||||
\(604\) | 2.68193 | 0.109126 | ||||||||
\(605\) | −13.0073 | − | 12.4024i | −0.528821 | − | 0.504229i | ||||
\(606\) | −0.334818 | − | 2.32871i | −0.0136011 | − | 0.0945974i | ||||
\(607\) | −1.58875 | − | 33.3519i | −0.0644852 | − | 1.35371i | −0.766819 | − | 0.641863i | \(-0.778162\pi\) |
0.702334 | − | 0.711847i | \(-0.252141\pi\) | |||||||
\(608\) | 1.15628 | − | 2.53190i | 0.0468934 | − | 0.102682i | ||||
\(609\) | −3.50869 | + | 4.92727i | −0.142179 | + | 0.199663i | ||||
\(610\) | 6.01341 | − | 24.7876i | 0.243476 | − | 1.00362i | ||||
\(611\) | −3.17425 | + | 3.66328i | −0.128416 | + | 0.148200i | ||||
\(612\) | 1.07469 | − | 0.315557i | 0.0434416 | − | 0.0127556i | ||||
\(613\) | −40.2682 | + | 16.1210i | −1.62642 | + | 0.651119i | −0.992496 | − | 0.122278i | \(-0.960980\pi\) |
−0.633922 | + | 0.773397i | \(0.718556\pi\) | |||||||
\(614\) | −9.52646 | − | 13.3780i | −0.384457 | − | 0.539894i | ||||
\(615\) | 5.20187 | − | 1.00258i | 0.209760 | − | 0.0404278i | ||||
\(616\) | −1.50187 | + | 4.33938i | −0.0605123 | + | 0.174839i | ||||
\(617\) | 40.2127 | − | 25.8431i | 1.61890 | − | 1.04041i | 0.662205 | − | 0.749322i | \(-0.269621\pi\) |
0.956698 | − | 0.291083i | \(-0.0940157\pi\) | |||||||
\(618\) | 15.5563 | + | 4.56775i | 0.625767 | + | 0.183742i | ||||
\(619\) | −4.94487 | + | 0.472178i | −0.198751 | + | 0.0189784i | −0.193957 | − | 0.981010i | \(-0.562132\pi\) |
−0.00479436 | + | 0.999989i | \(0.501526\pi\) | |||||||
\(620\) | 0.0645474 | − | 1.35502i | 0.00259229 | − | 0.0544188i | ||||
\(621\) | −7.20795 | − | 3.71596i | −0.289245 | − | 0.149116i | ||||
\(622\) | 11.0341 | + | 45.4832i | 0.442427 | + | 1.82371i | ||||
\(623\) | 9.48411 | + | 3.79686i | 0.379973 | + | 0.152118i | ||||
\(624\) | −5.77621 | − | 0.551561i | −0.231233 | − | 0.0220801i | ||||
\(625\) | 2.50958 | − | 17.4545i | 0.100383 | − | 0.698179i | ||||
\(626\) | −30.9043 | + | 24.3034i | −1.23518 | + | 0.971359i | ||||
\(627\) | −2.98199 | − | 1.91641i | −0.119089 | − | 0.0765341i | ||||
\(628\) | 1.08279 | + | 1.24960i | 0.0432079 | + | 0.0498645i | ||||
\(629\) | 17.4013 | − | 8.97099i | 0.693835 | − | 0.357697i | ||||
\(630\) | −1.53350 | − | 3.35790i | −0.0610961 | − | 0.133782i | ||||
\(631\) | 9.49247 | + | 1.82952i | 0.377889 | + | 0.0728322i | 0.374659 | − | 0.927163i | \(-0.377760\pi\) |
0.00323008 | + | 0.999995i | \(0.498972\pi\) | |||||||
\(632\) | −12.7604 | + | 22.1016i | −0.507580 | + | 0.879154i | ||||
\(633\) | 5.90617 | + | 10.2298i | 0.234749 | + | 0.406597i | ||||
\(634\) | −0.235794 | − | 0.681282i | −0.00936457 | − | 0.0270572i | ||||
\(635\) | −5.94236 | − | 4.67312i | −0.235815 | − | 0.185447i | ||||
\(636\) | 1.63686 | − | 1.56074i | 0.0649056 | − | 0.0618874i | ||||
\(637\) | 5.19271 | − | 4.95124i | 0.205743 | − | 0.196175i | ||||
\(638\) | −7.35951 | − | 5.78758i | −0.291366 | − | 0.229133i | ||||
\(639\) | −4.64506 | − | 13.4210i | −0.183756 | − | 0.530928i | ||||
\(640\) | −12.3295 | − | 21.3553i | −0.487367 | − | 0.844144i | ||||
\(641\) | −24.6024 | + | 42.6126i | −0.971735 | + | 1.68309i | −0.281423 | + | 0.959584i | \(0.590806\pi\) |
−0.690313 | + | 0.723511i | \(0.742527\pi\) | |||||||
\(642\) | 13.7645 | + | 2.65290i | 0.543243 | + | 0.104702i | ||||
\(643\) | −6.39115 | − | 13.9947i | −0.252042 | − | 0.551896i | 0.740745 | − | 0.671787i | \(-0.234473\pi\) |
−0.992787 | + | 0.119891i | \(0.961746\pi\) | |||||||
\(644\) | 1.71873 | − | 0.886068i | 0.0677275 | − | 0.0349160i | ||||
\(645\) | −1.38764 | − | 1.60142i | −0.0546382 | − | 0.0630559i | ||||
\(646\) | 19.7863 | + | 12.7159i | 0.778483 | + | 0.500300i | ||||
\(647\) | 29.2235 | − | 22.9817i | 1.14890 | − | 0.903502i | 0.152498 | − | 0.988304i | \(-0.451268\pi\) |
0.996398 | + | 0.0848017i | \(0.0270257\pi\) | |||||||
\(648\) | 0.381638 | − | 2.65435i | 0.0149922 | − | 0.104273i | ||||
\(649\) | −4.06539 | − | 0.388197i | −0.159580 | − | 0.0152381i | ||||
\(650\) | 2.18497 | + | 0.874728i | 0.0857014 | + | 0.0343097i | ||||
\(651\) | −1.12405 | − | 4.63341i | −0.0440551 | − | 0.181597i | ||||
\(652\) | −2.95062 | − | 1.52115i | −0.115555 | − | 0.0595729i | ||||
\(653\) | −0.403404 | + | 8.46848i | −0.0157864 | + | 0.331397i | 0.977135 | + | 0.212621i | \(0.0682001\pi\) |
−0.992921 | + | 0.118776i | \(0.962103\pi\) | |||||||
\(654\) | −8.31138 | + | 0.793640i | −0.325001 | + | 0.0310338i | ||||
\(655\) | −34.3287 | − | 10.0798i | −1.34133 | − | 0.393851i | ||||
\(656\) | −9.90476 | + | 6.36540i | −0.386716 | + | 0.248527i | ||||
\(657\) | −1.46722 | + | 4.23926i | −0.0572418 | + | 0.165389i | ||||
\(658\) | 6.72973 | − | 1.29705i | 0.262352 | − | 0.0505642i | ||||
\(659\) | 17.5597 | + | 24.6592i | 0.684031 | + | 0.960587i | 0.999930 | + | 0.0117941i | \(0.00375426\pi\) |
−0.315900 | + | 0.948793i | \(0.602306\pi\) | |||||||
\(660\) | 0.452307 | − | 0.181076i | 0.0176060 | − | 0.00704839i | ||||
\(661\) | 43.7498 | − | 12.8461i | 1.70167 | − | 0.499655i | 0.720606 | − | 0.693345i | \(-0.243864\pi\) |
0.981063 | + | 0.193690i | \(0.0620456\pi\) | |||||||
\(662\) | 17.0309 | − | 19.6547i | 0.661924 | − | 0.763901i | ||||
\(663\) | 1.89450 | − | 7.80925i | 0.0735764 | − | 0.303286i | ||||
\(664\) | −2.68819 | + | 3.77503i | −0.104322 | + | 0.146500i | ||||
\(665\) | 2.74582 | − | 6.01250i | 0.106478 | − | 0.233155i | ||||
\(666\) | 0.229275 | + | 4.81307i | 0.00888421 | + | 0.186503i | ||||
\(667\) | −5.45815 | − | 37.9623i | −0.211340 | − | 1.46990i | ||||
\(668\) | 1.60085 | + | 1.52641i | 0.0619388 | + | 0.0590585i | ||||
\(669\) | 2.31242 | 0.0894035 | ||||||||
\(670\) | −19.7716 | + | 12.9313i | −0.763842 | + | 0.499579i | ||||
\(671\) | 11.8317 | 0.456756 | ||||||||
\(672\) | 0.973138 | + | 0.927886i | 0.0375396 | + | 0.0357940i | ||||
\(673\) | 4.18504 | + | 29.1076i | 0.161321 | + | 1.12201i | 0.896147 | + | 0.443758i | \(0.146355\pi\) |
−0.734825 | + | 0.678256i | \(0.762736\pi\) | |||||||
\(674\) | 1.54476 | + | 32.4285i | 0.0595020 | + | 1.24910i | ||||
\(675\) | −0.494340 | + | 1.08245i | −0.0190271 | + | 0.0416636i | ||||
\(676\) | −1.21238 | + | 1.70255i | −0.0466300 | + | 0.0654826i | ||||
\(677\) | −1.06132 | + | 4.37484i | −0.0407900 | + | 0.168139i | −0.988563 | − | 0.150806i | \(-0.951813\pi\) |
0.947773 | + | 0.318945i | \(0.103328\pi\) | |||||||
\(678\) | −7.75079 | + | 8.94488i | −0.297667 | + | 0.343526i | ||||
\(679\) | −4.68242 | + | 1.37488i | −0.179695 | + | 0.0527632i | ||||
\(680\) | 29.1944 | − | 11.6877i | 1.11955 | − | 0.448201i | ||||
\(681\) | 2.52854 | + | 3.55083i | 0.0968938 | + | 0.136068i | ||||
\(682\) | 7.24636 | − | 1.39662i | 0.277478 | − | 0.0534794i | ||||
\(683\) | −2.97872 | + | 8.60646i | −0.113978 | + | 0.329317i | −0.987534 | − | 0.157406i | \(-0.949687\pi\) |
0.873556 | + | 0.486723i | \(0.161808\pi\) | |||||||
\(684\) | −0.415249 | + | 0.266864i | −0.0158774 | + | 0.0102038i | ||||
\(685\) | −12.5246 | − | 3.67754i | −0.478539 | − | 0.140512i | ||||
\(686\) | −23.2773 | + | 2.22271i | −0.888730 | + | 0.0848635i | ||||
\(687\) | −1.00203 | + | 21.0353i | −0.0382300 | + | 0.802547i | ||||
\(688\) | 4.18588 | + | 2.15797i | 0.159585 | + | 0.0822718i | ||||
\(689\) | −3.82549 | − | 15.7689i | −0.145740 | − | 0.600746i | ||||
\(690\) | 21.7291 | + | 8.69902i | 0.827213 | + | 0.331166i | ||||
\(691\) | −25.5652 | − | 2.44118i | −0.972546 | − | 0.0928669i | −0.403330 | − | 0.915055i | \(-0.632147\pi\) |
−0.569216 | + | 0.822188i | \(0.692753\pi\) | |||||||
\(692\) | 0.217349 | − | 1.51170i | 0.00826238 | − | 0.0574661i | ||||
\(693\) | 1.34600 | − | 1.05851i | 0.0511304 | − | 0.0402094i | ||||
\(694\) | 18.4557 | + | 11.8608i | 0.700569 | + | 0.450228i | ||||
\(695\) | −29.6543 | − | 34.2229i | −1.12485 | − | 1.29815i | ||||
\(696\) | 11.2727 | − | 5.81148i | 0.427290 | − | 0.220283i | ||||
\(697\) | −6.77349 | − | 14.8319i | −0.256564 | − | 0.561798i | ||||
\(698\) | −21.7454 | − | 4.19108i | −0.823075 | − | 0.158635i | ||||
\(699\) | −8.10195 | + | 14.0330i | −0.306444 | + | 0.530776i | ||||
\(700\) | −0.141876 | − | 0.245737i | −0.00536241 | − | 0.00928797i | ||||
\(701\) | −0.473221 | − | 1.36728i | −0.0178733 | − | 0.0516416i | 0.935711 | − | 0.352767i | \(-0.114759\pi\) |
−0.953585 | + | 0.301125i | \(0.902638\pi\) | |||||||
\(702\) | 1.55465 | + | 1.22259i | 0.0586765 | + | 0.0461437i | ||||
\(703\) | −6.24426 | + | 5.95389i | −0.235507 | + | 0.224555i | ||||
\(704\) | 6.90061 | − | 6.57972i | 0.260076 | − | 0.247982i | ||||
\(705\) | 5.56025 | + | 4.37263i | 0.209411 | + | 0.164683i | ||||
\(706\) | 10.6557 | + | 30.7877i | 0.401034 | + | 1.15871i | ||||
\(707\) | 1.01749 | + | 1.76235i | 0.0382667 | + | 0.0662799i | ||||
\(708\) | −0.284344 | + | 0.492499i | −0.0106863 | + | 0.0185092i | ||||
\(709\) | 27.8871 | + | 5.37480i | 1.04732 | + | 0.201855i | 0.683754 | − | 0.729713i | \(-0.260346\pi\) |
0.363568 | + | 0.931568i | \(0.381558\pi\) | |||||||
\(710\) | 17.0281 | + | 37.2864i | 0.639055 | + | 1.39933i | ||||
\(711\) | 8.45888 | − | 4.36085i | 0.317233 | − | 0.163545i | ||||
\(712\) | −14.0267 | − | 16.1877i | −0.525674 | − | 0.606660i | ||||
\(713\) | 25.4311 | + | 16.3436i | 0.952403 | + | 0.612072i | ||||
\(714\) | −8.93109 | + | 7.02349i | −0.334238 | + | 0.262847i | ||||
\(715\) | 0.497451 | − | 3.45985i | 0.0186036 | − | 0.129391i | ||||
\(716\) | −2.58654 | − | 0.246985i | −0.0966636 | − | 0.00923026i | ||||
\(717\) | −25.3717 | − | 10.1573i | −0.947523 | − | 0.379331i | ||||
\(718\) | −7.06656 | − | 29.1288i | −0.263722 | − | 1.08708i | ||||
\(719\) | −7.42223 | − | 3.82642i | −0.276802 | − | 0.142702i | 0.314236 | − | 0.949345i | \(-0.398252\pi\) |
−0.591039 | + | 0.806643i | \(0.701282\pi\) | |||||||
\(720\) | −0.402908 | + | 8.45808i | −0.0150155 | + | 0.315214i | ||||
\(721\) | −13.9603 | + | 1.33305i | −0.519910 | + | 0.0496454i | ||||
\(722\) | 17.0111 | + | 4.99491i | 0.633088 | + | 0.185891i | ||||
\(723\) | 4.20800 | − | 2.70431i | 0.156497 | − | 0.100575i | ||||
\(724\) | −0.0317117 | + | 0.0916250i | −0.00117856 | + | 0.00340522i | ||||
\(725\) | −5.52622 | + | 1.06509i | −0.205239 | + | 0.0395565i | ||||
\(726\) | −7.89737 | − | 11.0903i | −0.293099 | − | 0.411600i | ||||
\(727\) | 19.4100 | − | 7.77061i | 0.719879 | − | 0.288196i | 0.0173481 | − | 0.999850i | \(-0.494478\pi\) |
0.702531 | + | 0.711654i | \(0.252053\pi\) | |||||||
\(728\) | 4.40176 | − | 1.29247i | 0.163140 | − | 0.0479023i | ||||
\(729\) | −0.654861 | + | 0.755750i | −0.0242541 | + | 0.0279907i | ||||
\(730\) | 3.05251 | − | 12.5826i | 0.112979 | − | 0.465704i | ||||
\(731\) | −3.78311 | + | 5.31264i | −0.139923 | + | 0.196495i | ||||
\(732\) | 0.684431 | − | 1.49870i | 0.0252973 | − | 0.0553934i | ||||
\(733\) | −1.26343 | − | 26.5227i | −0.0466659 | − | 0.979637i | −0.893858 | − | 0.448351i | \(-0.852012\pi\) |
0.847192 | − | 0.531287i | \(-0.178291\pi\) | |||||||
\(734\) | 2.12871 | + | 14.8055i | 0.0785723 | + | 0.546482i | ||||
\(735\) | −7.57781 | − | 7.22543i | −0.279512 | − | 0.266514i | ||||
\(736\) | −8.52542 | −0.314251 | ||||||||
\(737\) | −7.99153 | − | 7.49866i | −0.294372 | − | 0.276217i | ||||
\(738\) | 4.01314 | 0.147726 | ||||||||
\(739\) | −0.811263 | − | 0.773538i | −0.0298428 | − | 0.0284551i | 0.675011 | − | 0.737808i | \(-0.264139\pi\) |
−0.704854 | + | 0.709353i | \(0.748987\pi\) | |||||||
\(740\) | −0.168766 | − | 1.17379i | −0.00620396 | − | 0.0431495i | ||||
\(741\) | 0.168504 | + | 3.53734i | 0.00619016 | + | 0.129947i | ||||
\(742\) | −9.53074 | + | 20.8694i | −0.349884 | + | 0.766140i | ||||
\(743\) | 10.6885 | − | 15.0099i | 0.392122 | − | 0.550658i | −0.570573 | − | 0.821247i | \(-0.693279\pi\) |
0.962695 | + | 0.270589i | \(0.0872183\pi\) | |||||||
\(744\) | −2.35677 | + | 9.71475i | −0.0864035 | + | 0.356160i | ||||
\(745\) | −21.2748 | + | 24.5524i | −0.779447 | + | 0.899530i | ||||
\(746\) | −21.4389 | + | 6.29502i | −0.784933 | + | 0.230477i | ||||
\(747\) | 1.60438 | − | 0.642298i | 0.0587013 | − | 0.0235004i | ||||
\(748\) | −0.869831 | − | 1.22151i | −0.0318042 | − | 0.0446627i | ||||
\(749\) | −11.9059 | + | 2.29468i | −0.435034 | + | 0.0838459i | ||||
\(750\) | 5.84331 | − | 16.8831i | 0.213368 | − | 0.616485i | ||||
\(751\) | 19.5594 | − | 12.5701i | 0.713734 | − | 0.458689i | −0.132718 | − | 0.991154i | \(-0.542371\pi\) |
0.846452 | + | 0.532465i | \(0.178734\pi\) | |||||||
\(752\) | −15.0842 | − | 4.42911i | −0.550063 | − | 0.161513i | ||||
\(753\) | 14.2499 | − | 1.36070i | 0.519294 | − | 0.0495865i | ||||
\(754\) | −0.445070 | + | 9.34316i | −0.0162085 | + | 0.340258i | ||||
\(755\) | −24.9578 | − | 12.8666i | −0.908306 | − | 0.468264i | ||||
\(756\) | −0.0562166 | − | 0.231728i | −0.00204458 | − | 0.00842786i | ||||
\(757\) | −16.2121 | − | 6.49036i | −0.589240 | − | 0.235896i | 0.0578302 | − | 0.998326i | \(-0.481582\pi\) |
−0.647070 | + | 0.762430i | \(0.724006\pi\) | |||||||
\(758\) | 18.7667 | + | 1.79200i | 0.681636 | + | 0.0650883i | ||||
\(759\) | −1.54513 | + | 10.7466i | −0.0560846 | + | 0.390077i | ||||
\(760\) | −10.8936 | + | 8.56684i | −0.395153 | + | 0.310752i | ||||
\(761\) | −11.9835 | − | 7.70131i | −0.434401 | − | 0.279172i | 0.305110 | − | 0.952317i | \(-0.401307\pi\) |
−0.739511 | + | 0.673145i | \(0.764943\pi\) | |||||||
\(762\) | −3.75026 | − | 4.32803i | −0.135858 | − | 0.156788i | ||||
\(763\) | 6.41900 | − | 3.30922i | 0.232383 | − | 0.119802i | ||||
\(764\) | −0.665933 | − | 1.45819i | −0.0240926 | − | 0.0527555i | ||||
\(765\) | −11.5148 | − | 2.21930i | −0.416319 | − | 0.0802390i | ||||
\(766\) | 13.2102 | − | 22.8807i | 0.477304 | − | 0.826714i | ||||
\(767\) | 2.04001 | + | 3.53340i | 0.0736604 | + | 0.127584i | ||||
\(768\) | −1.45112 | − | 4.19273i | −0.0523628 | − | 0.151292i | ||||
\(769\) | 11.4807 | + | 9.02856i | 0.414006 | + | 0.325578i | 0.803342 | − | 0.595518i | \(-0.203053\pi\) |
−0.389336 | + | 0.921096i | \(0.627295\pi\) | |||||||
\(770\) | −3.57688 | + | 3.41055i | −0.128902 | + | 0.122908i | ||||
\(771\) | 8.59336 | − | 8.19375i | 0.309482 | − | 0.295091i | ||||
\(772\) | −1.84234 | − | 1.44884i | −0.0663074 | − | 0.0521447i | ||||
\(773\) | 10.0422 | + | 29.0150i | 0.361193 | + | 1.04360i | 0.968475 | + | 0.249112i | \(0.0801387\pi\) |
−0.607282 | + | 0.794487i | \(0.707740\pi\) | |||||||
\(774\) | −0.802606 | − | 1.39016i | −0.0288491 | − | 0.0499681i | ||||
\(775\) | 2.21800 | − | 3.84169i | 0.0796729 | − | 0.137997i | ||||
\(776\) | 10.0471 | + | 1.93642i | 0.360669 | + | 0.0695133i | ||||
\(777\) | −1.73140 | − | 3.79125i | −0.0621138 | − | 0.136010i | ||||
\(778\) | 27.0899 | − | 13.9658i | 0.971220 | − | 0.500699i | ||||
\(779\) | 4.70567 | + | 5.43063i | 0.168598 | + | 0.194572i | ||||
\(780\) | −0.409476 | − | 0.263155i | −0.0146616 | − | 0.00942244i | ||||
\(781\) | −14.9462 | + | 11.7538i | −0.534816 | + | 0.420584i | ||||
\(782\) | 10.2523 | − | 71.3066i | 0.366623 | − | 2.54992i | ||||
\(783\) | −4.70797 | − | 0.449557i | −0.168249 | − | 0.0160658i | ||||
\(784\) | 21.6034 | + | 8.64871i | 0.771551 | + | 0.308882i | ||||
\(785\) | −4.08130 | − | 16.8234i | −0.145668 | − | 0.600452i | ||||
\(786\) | −24.0903 | − | 12.4194i | −0.859273 | − | 0.442986i | ||||
\(787\) | −0.852729 | + | 17.9010i | −0.0303965 | + | 0.638101i | 0.931344 | + | 0.364140i | \(0.118637\pi\) |
−0.961741 | + | 0.273961i | \(0.911666\pi\) | |||||||
\(788\) | −1.09842 | + | 0.104886i | −0.0391296 | + | 0.00373642i | ||||
\(789\) | 18.2807 | + | 5.36769i | 0.650810 | + | 0.191095i | ||||
\(790\) | −23.1073 | + | 14.8502i | −0.822122 | + | 0.528345i | ||||
\(791\) | 3.34840 | − | 9.67455i | 0.119055 | − | 0.343988i | ||||
\(792\) | −3.52538 | + | 0.679461i | −0.125269 | + | 0.0241436i | ||||
\(793\) | −6.85654 | − | 9.62867i | −0.243483 | − | 0.341924i | ||||
\(794\) | −50.4674 | + | 20.2041i | −1.79102 | + | 0.717017i | ||||
\(795\) | −22.7201 | + | 6.67123i | −0.805800 | + | 0.236604i | ||||
\(796\) | 2.70697 | − | 3.12401i | 0.0959460 | − | 0.110728i | ||||
\(797\) | 6.33700 | − | 26.1215i | 0.224468 | − | 0.925271i | −0.742392 | − | 0.669965i | \(-0.766309\pi\) |
0.966861 | − | 0.255305i | \(-0.0821759\pi\) | |||||||
\(798\) | 2.90446 | − | 4.07874i | 0.102817 | − | 0.144386i | ||||
\(799\) | 9.04431 | − | 19.8043i | 0.319965 | − | 0.700625i | ||||
\(800\) | 0.0595265 | + | 1.24962i | 0.00210458 | + | 0.0441806i | ||||
\(801\) | 1.13673 | + | 7.90611i | 0.0401643 | + | 0.279349i | ||||
\(802\) | −8.80836 | − | 8.39875i | −0.311034 | − | 0.296570i | ||||
\(803\) | 6.00596 | 0.211946 | ||||||||
\(804\) | −1.41213 | + | 0.578495i | −0.0498020 | + | 0.0204019i | ||||
\(805\) | −20.2453 | −0.713552 | ||||||||
\(806\) | −5.33591 | − | 5.08778i | −0.187949 | − | 0.179209i | ||||
\(807\) | −4.02246 | − | 27.9768i | −0.141597 | − | 0.984831i | ||||
\(808\) | −0.203018 | − | 4.26186i | −0.00714214 | − | 0.149932i | ||||
\(809\) | −19.8875 | + | 43.5475i | −0.699207 | + | 1.53105i | 0.141724 | + | 0.989906i | \(0.454736\pi\) |
−0.840931 | + | 0.541143i | \(0.817992\pi\) | |||||||
\(810\) | 1.67418 | − | 2.35106i | 0.0588247 | − | 0.0826077i | ||||
\(811\) | 5.50211 | − | 22.6800i | 0.193205 | − | 0.796403i | −0.789881 | − | 0.613260i | \(-0.789858\pi\) |
0.983086 | − | 0.183143i | \(-0.0586272\pi\) | |||||||
\(812\) | 0.738499 | − | 0.852273i | 0.0259162 | − | 0.0299089i | ||||
\(813\) | −30.1499 | + | 8.85282i | −1.05740 | + | 0.310482i | ||||
\(814\) | 5.98905 | − | 2.39766i | 0.209916 | − | 0.0840378i | ||||
\(815\) | 20.1604 | + | 28.3114i | 0.706190 | + | 0.991705i | ||||
\(816\) | 25.5914 | − | 4.93235i | 0.895880 | − | 0.172667i | ||||
\(817\) | 0.940066 | − | 2.71614i | 0.0328887 | − | 0.0950258i | ||||
\(818\) | −27.2119 | + | 17.4880i | −0.951440 | + | 0.611454i | ||||
\(819\) | −1.64144 | − | 0.481970i | −0.0573566 | − | 0.0168414i | ||||
\(820\) | −0.983183 | + | 0.0938826i | −0.0343342 | + | 0.00327852i | ||||
\(821\) | 0.697426 | − | 14.6408i | 0.0243403 | − | 0.510966i | −0.953472 | − | 0.301482i | \(-0.902519\pi\) |
0.977812 | − | 0.209484i | \(-0.0671784\pi\) | |||||||
\(822\) | −8.78915 | − | 4.53112i | −0.306557 | − | 0.158041i | ||||
\(823\) | 3.66410 | + | 15.1036i | 0.127722 | + | 0.526479i | 0.999341 | + | 0.0362943i | \(0.0115554\pi\) |
−0.871619 | + | 0.490184i | \(0.836929\pi\) | |||||||
\(824\) | 27.2972 | + | 10.9282i | 0.950943 | + | 0.380700i | ||||
\(825\) | 1.58597 | + | 0.151442i | 0.0552165 | + | 0.00527254i | ||||
\(826\) | 0.820989 | − | 5.71011i | 0.0285659 | − | 0.198680i | ||||
\(827\) | −27.4803 | + | 21.6107i | −0.955583 | + | 0.751479i | −0.968648 | − | 0.248436i | \(-0.920084\pi\) |
0.0130651 | + | 0.999915i | \(0.495841\pi\) | |||||||
\(828\) | 1.27187 | + | 0.817382i | 0.0442006 | + | 0.0284060i | ||||
\(829\) | −4.70262 | − | 5.42712i | −0.163329 | − | 0.188492i | 0.668186 | − | 0.743995i | \(-0.267071\pi\) |
−0.831515 | + | 0.555503i | \(0.812526\pi\) | |||||||
\(830\) | −4.43343 | + | 2.28559i | −0.153887 | + | 0.0793341i | ||||
\(831\) | −11.3450 | − | 24.8420i | −0.393553 | − | 0.861761i | ||||
\(832\) | −9.35357 | − | 1.80275i | −0.324277 | − | 0.0624992i | ||||
\(833\) | −16.1134 | + | 27.9092i | −0.558295 | + | 0.966995i | ||||
\(834\) | −17.1520 | − | 29.7081i | −0.593924 | − | 1.02871i | ||||
\(835\) | −7.57438 | − | 21.8847i | −0.262122 | − | 0.757353i | ||||
\(836\) | 0.519467 | + | 0.408513i | 0.0179661 | + | 0.0141287i | ||||
\(837\) | 2.69791 | − | 2.57245i | 0.0932533 | − | 0.0889168i | ||||
\(838\) | −7.51167 | + | 7.16236i | −0.259486 | + | 0.247420i | ||||
\(839\) | 3.65849 | + | 2.87707i | 0.126305 | + | 0.0993274i | 0.679313 | − | 0.733848i | \(-0.262278\pi\) |
−0.553008 | + | 0.833176i | \(0.686520\pi\) | |||||||
\(840\) | −2.18964 | − | 6.32655i | −0.0755498 | − | 0.218287i | ||||
\(841\) | 3.31646 | + | 5.74427i | 0.114361 | + | 0.198078i | ||||
\(842\) | −24.7556 | + | 42.8779i | −0.853133 | + | 1.47767i | ||||
\(843\) | 14.8583 | + | 2.86370i | 0.511747 | + | 0.0986312i | ||||
\(844\) | −0.914837 | − | 2.00321i | −0.0314900 | − | 0.0689535i | ||||
\(845\) | 19.4503 | − | 10.0273i | 0.669111 | − | 0.344951i | ||||
\(846\) | 3.50910 | + | 4.04972i | 0.120646 | + | 0.139232i | ||||
\(847\) | 9.90697 | + | 6.36683i | 0.340408 | + | 0.218767i | ||||
\(848\) | 41.3674 | − | 32.5317i | 1.42056 | − | 1.11714i | ||||
\(849\) | 3.09032 | − | 21.4937i | 0.106060 | − | 0.737661i | ||||
\(850\) | −10.5234 | − | 1.00486i | −0.360948 | − | 0.0344664i | ||||
\(851\) | 24.5333 | + | 9.82167i | 0.840992 | + | 0.336682i | ||||
\(852\) | 0.624235 | + | 2.57313i | 0.0213859 | + | 0.0881540i | ||||
\(853\) | −24.9512 | − | 12.8632i | −0.854313 | − | 0.440429i | −0.0253144 | − | 0.999680i | \(-0.508059\pi\) |
−0.828999 | + | 0.559251i | \(0.811089\pi\) | |||||||
\(854\) | −0.795247 | + | 16.6943i | −0.0272128 | + | 0.571267i | ||||
\(855\) | 5.14456 | − | 0.491246i | 0.175940 | − | 0.0168002i | ||||
\(856\) | 24.3925 | + | 7.16230i | 0.833720 | + | 0.244802i | ||||
\(857\) | −20.6658 | + | 13.2811i | −0.705929 | + | 0.453673i | −0.843717 | − | 0.536789i | \(-0.819637\pi\) |
0.137788 | + | 0.990462i | \(0.456001\pi\) | |||||||
\(858\) | 0.866051 | − | 2.50229i | 0.0295665 | − | 0.0854267i | ||||
\(859\) | 5.68634 | − | 1.09595i | 0.194015 | − | 0.0373934i | −0.0913177 | − | 0.995822i | \(-0.529108\pi\) |
0.285333 | + | 0.958428i | \(0.407896\pi\) | |||||||
\(860\) | 0.229152 | + | 0.321799i | 0.00781402 | + | 0.0109733i | ||||
\(861\) | −3.22260 | + | 1.29014i | −0.109826 | + | 0.0439677i | ||||
\(862\) | −34.1756 | + | 10.0349i | −1.16403 | + | 0.341789i | ||||
\(863\) | 5.30565 | − | 6.12304i | 0.180606 | − | 0.208431i | −0.658226 | − | 0.752820i | \(-0.728693\pi\) |
0.838833 | + | 0.544389i | \(0.183239\pi\) | |||||||
\(864\) | −0.247853 | + | 1.02166i | −0.00843212 | + | 0.0347577i | ||||
\(865\) | −9.27504 | + | 13.0250i | −0.315361 | + | 0.442862i | ||||
\(866\) | −14.2706 | + | 31.2482i | −0.484934 | + | 1.06186i | ||||
\(867\) | 0.908503 | + | 19.0718i | 0.0308544 | + | 0.647713i | ||||
\(868\) | 0.126501 | + | 0.879835i | 0.00429373 | + | 0.0298635i | ||||
\(869\) | −9.22135 | − | 8.79254i | −0.312813 | − | 0.298266i | ||||
\(870\) | 13.6501 | 0.462782 | ||||||||
\(871\) | −1.47129 | + | 10.8491i | −0.0498528 | + | 0.367607i | ||||
\(872\) | −15.1418 | −0.512766 | ||||||||
\(873\) | −2.76145 | − | 2.63304i | −0.0934610 | − | 0.0891149i | ||||
\(874\) | 4.51819 | + | 31.4247i | 0.152830 | + | 1.06296i | ||||
\(875\) | 0.735301 | + | 15.4359i | 0.0248577 | + | 0.521828i | ||||
\(876\) | 0.347429 | − | 0.760764i | 0.0117385 | − | 0.0257038i | ||||
\(877\) | 5.40796 | − | 7.59441i | 0.182614 | − | 0.256445i | −0.713114 | − | 0.701048i | \(-0.752716\pi\) |
0.895728 | + | 0.444603i | \(0.146655\pi\) | |||||||
\(878\) | −1.01315 | + | 4.17625i | −0.0341921 | + | 0.140942i | ||||
\(879\) | 4.73330 | − | 5.46252i | 0.159650 | − | 0.184246i | ||||
\(880\) | 10.8775 | − | 3.19393i | 0.366681 | − | 0.107667i | ||||
\(881\) | 9.66916 | − | 3.87095i | 0.325762 | − | 0.130415i | −0.203016 | − | 0.979175i | \(-0.565074\pi\) |
0.528779 | + | 0.848760i | \(0.322650\pi\) | |||||||
\(882\) | −4.60088 | − | 6.46103i | −0.154920 | − | 0.217554i | ||||
\(883\) | 4.03036 | − | 0.776789i | 0.135633 | − | 0.0261410i | −0.120983 | − | 0.992655i | \(-0.538605\pi\) |
0.256616 | + | 0.966514i | \(0.417393\pi\) | |||||||
\(884\) | −0.489994 | + | 1.41575i | −0.0164803 | + | 0.0476167i | ||||
\(885\) | 5.00886 | − | 3.21900i | 0.168371 | − | 0.108205i | ||||
\(886\) | −21.0213 | − | 6.17241i | −0.706224 | − | 0.207366i | ||||
\(887\) | −50.2503 | + | 4.79832i | −1.68724 | + | 0.161112i | −0.894081 | − | 0.447905i | \(-0.852170\pi\) |
−0.793158 | + | 0.609016i | \(0.791564\pi\) | |||||||
\(888\) | −0.415805 | + | 8.72881i | −0.0139535 | + | 0.292920i | ||||
\(889\) | 4.40287 | + | 2.26984i | 0.147667 | + | 0.0761279i | ||||
\(890\) | −5.43507 | − | 22.4037i | −0.182184 | − | 0.750973i | ||||
\(891\) | 1.24292 | + | 0.497591i | 0.0416395 | + | 0.0166699i | ||||
\(892\) | −0.429163 | − | 0.0409801i | −0.0143694 | − | 0.00137212i | ||||
\(893\) | −1.36548 | + | 9.49712i | −0.0456940 | + | 0.317809i | ||||
\(894\) | −19.3452 | + | 15.2132i | −0.646999 | + | 0.508806i | ||||
\(895\) | 22.8852 | + | 14.7074i | 0.764968 | + | 0.491615i | ||||
\(896\) | 10.5811 | + | 12.2113i | 0.353491 | + | 0.407950i | ||||
\(897\) | 9.64106 | − | 4.97031i | 0.321906 | − | 0.165954i | ||||
\(898\) | −17.4427 | − | 38.1941i | −0.582069 | − | 1.27455i | ||||
\(899\) | 17.3114 | + | 3.33650i | 0.577368 | + | 0.111279i | ||||
\(900\) | 0.110927 | − | 0.192132i | 0.00369758 | − | 0.00640440i | ||||
\(901\) | 36.4410 | + | 63.1176i | 1.21402 | + | 2.10275i | ||||
\(902\) | −1.75730 | − | 5.07739i | −0.0585118 | − | 0.169059i | ||||
\(903\) | 1.09141 | + | 0.858292i | 0.0363197 | + | 0.0285622i | ||||
\(904\) | −15.5349 | + | 14.8125i | −0.516684 | + | 0.492657i | ||||
\(905\) | 0.734680 | − | 0.700516i | 0.0244216 | − | 0.0232859i | ||||
\(906\) | −16.7202 | − | 13.1489i | −0.555491 | − | 0.436843i | ||||
\(907\) | 2.73343 | + | 7.89773i | 0.0907621 | + | 0.262240i | 0.981241 | − | 0.192784i | \(-0.0617518\pi\) |
−0.890479 | + | 0.455024i | \(0.849631\pi\) | |||||||
\(908\) | −0.406345 | − | 0.703810i | −0.0134850 | − | 0.0233568i | ||||
\(909\) | −0.795537 | + | 1.37791i | −0.0263863 | + | 0.0457024i | ||||
\(910\) | 4.84836 | + | 0.934444i | 0.160721 | + | 0.0309765i | ||||
\(911\) | −18.8360 | − | 41.2450i | −0.624064 | − | 1.36651i | −0.912526 | − | 0.409018i | \(-0.865871\pi\) |
0.288463 | − | 0.957491i | \(-0.406856\pi\) | |||||||
\(912\) | −10.2089 | + | 5.26304i | −0.338050 | + | 0.174277i | ||||
\(913\) | −1.51517 | − | 1.74860i | −0.0501447 | − | 0.0578701i | ||||
\(914\) | 43.9521 | + | 28.2463i | 1.45381 | + | 0.934305i | ||||
\(915\) | −13.5593 | + | 10.6631i | −0.448256 | + | 0.352512i | ||||
\(916\) | 0.558749 | − | 3.88619i | 0.0184616 | − | 0.128403i | ||||
\(917\) | 23.3374 | + | 2.22845i | 0.770668 | + | 0.0735899i | ||||
\(918\) | −8.24712 | − | 3.30165i | −0.272196 | − | 0.108971i | ||||
\(919\) | 7.15717 | + | 29.5022i | 0.236093 | + | 0.973189i | 0.959262 | + | 0.282518i | \(0.0911697\pi\) |
−0.723169 | + | 0.690671i | \(0.757315\pi\) | |||||||
\(920\) | 37.7291 | + | 19.4507i | 1.24389 | + | 0.641271i | ||||
\(921\) | −0.528487 | + | 11.0943i | −0.0174143 | + | 0.365570i | ||||
\(922\) | 19.2621 | − | 1.83931i | 0.634364 | − | 0.0605744i | ||||
\(923\) | 18.2267 | + | 5.35185i | 0.599940 | + | 0.176158i | ||||
\(924\) | −0.268564 | + | 0.172595i | −0.00883509 | + | 0.00567797i | ||||
\(925\) | 1.26832 | − | 3.66456i | 0.0417019 | − | 0.120490i | ||||
\(926\) | 43.1668 | − | 8.31971i | 1.41855 | − | 0.273403i | ||||
\(927\) | −6.36015 | − | 8.93158i | −0.208895 | − | 0.293352i | ||||
\(928\) | −4.61583 | + | 1.84790i | −0.151522 | + | 0.0606603i | ||||
\(929\) | −50.4593 | + | 14.8162i | −1.65552 | + | 0.486103i | −0.970233 | − | 0.242174i | \(-0.922140\pi\) |
−0.685283 | + | 0.728277i | \(0.740321\pi\) | |||||||
\(930\) | −7.04577 | + | 8.13125i | −0.231040 | + | 0.266634i | ||||
\(931\) | 3.34831 | − | 13.8019i | 0.109736 | − | 0.452340i | ||||
\(932\) | 1.75233 | − | 2.46080i | 0.0573995 | − | 0.0806063i | ||||
\(933\) | 13.1487 | − | 28.7916i | 0.430469 | − | 0.942596i | ||||
\(934\) | 0.618326 | + | 12.9803i | 0.0202322 | + | 0.424727i | ||||
\(935\) | 2.23435 | + | 15.5403i | 0.0730711 | + | 0.508221i | ||||
\(936\) | 2.59593 | + | 2.47522i | 0.0848507 | + | 0.0809050i | ||||
\(937\) | 0.778642 | 0.0254371 | 0.0127186 | − | 0.999919i | \(-0.495951\pi\) | ||||
0.0127186 | + | 0.999919i | \(0.495951\pi\) | |||||||
\(938\) | 11.1176 | − | 10.7719i | 0.363003 | − | 0.351716i | ||||
\(939\) | 26.5888 | 0.867692 | ||||||||
\(940\) | −0.954437 | − | 0.910054i | −0.0311303 | − | 0.0296827i | ||||
\(941\) | −0.938843 | − | 6.52980i | −0.0306054 | − | 0.212865i | 0.968780 | − | 0.247922i | \(-0.0797478\pi\) |
−0.999385 | + | 0.0350570i | \(0.988839\pi\) | |||||||
\(942\) | −0.623990 | − | 13.0992i | −0.0203307 | − | 0.426794i | ||||
\(943\) | 9.14301 | − | 20.0204i | 0.297737 | − | 0.651954i | ||||
\(944\) | −7.67574 | + | 10.7791i | −0.249824 | + | 0.350829i | ||||
\(945\) | −0.588575 | + | 2.42614i | −0.0191463 | + | 0.0789223i | ||||
\(946\) | −1.40736 | + | 1.62418i | −0.0457573 | + | 0.0528067i | ||||
\(947\) | 19.1598 | − | 5.62582i | 0.622609 | − | 0.182815i | 0.0448127 | − | 0.998995i | \(-0.485731\pi\) |
0.577796 | + | 0.816181i | \(0.303913\pi\) | |||||||
\(948\) | −1.64717 | + | 0.659426i | −0.0534975 | + | 0.0214172i | ||||
\(949\) | −3.48050 | − | 4.88768i | −0.112982 | − | 0.158661i | ||||
\(950\) | 4.57454 | − | 0.881670i | 0.148418 | − | 0.0286052i | ||||
\(951\) | −0.159465 | + | 0.460743i | −0.00517100 | + | 0.0149406i | ||||
\(952\) | −17.3346 | + | 11.1402i | −0.561816 | + | 0.361057i | ||||
\(953\) | −17.8626 | − | 5.24494i | −0.578627 | − | 0.169900i | −0.0206933 | − | 0.999786i | \(-0.506587\pi\) |
−0.557933 | + | 0.829886i | \(0.688406\pi\) | |||||||
\(954\) | −17.8568 | + | 1.70512i | −0.578134 | + | 0.0552051i | ||||
\(955\) | −0.798597 | + | 16.7646i | −0.0258420 | + | 0.542490i | ||||
\(956\) | 4.52873 | + | 2.33472i | 0.146470 | + | 0.0755103i | ||||
\(957\) | 1.49278 | + | 6.15334i | 0.0482548 | + | 0.198909i | ||||
\(958\) | 28.6929 | + | 11.4869i | 0.927026 | + | 0.371125i | ||||
\(959\) | 8.51445 | + | 0.813031i | 0.274946 | + | 0.0262542i | ||||
\(960\) | −1.97832 | + | 13.7596i | −0.0638502 | + | 0.444088i | ||||
\(961\) | 13.4445 | − | 10.5729i | 0.433693 | − | 0.341060i | ||||
\(962\) | −5.42193 | − | 3.48446i | −0.174810 | − | 0.112344i | ||||
\(963\) | −6.20816 | − | 7.16460i | −0.200055 | − | 0.230876i | ||||
\(964\) | −0.828888 | + | 0.427321i | −0.0266967 | + | 0.0137631i | ||||
\(965\) | 10.1938 | + | 22.3214i | 0.328152 | + | 0.718552i | ||||
\(966\) | −15.0594 | − | 2.90247i | −0.484530 | − | 0.0933854i | ||||
\(967\) | 19.9797 | − | 34.6058i | 0.642503 | − | 1.11285i | −0.342369 | − | 0.939566i | \(-0.611229\pi\) |
0.984872 | − | 0.173283i | \(-0.0554375\pi\) | |||||||
\(968\) | −12.3457 | − | 21.3834i | −0.396806 | − | 0.687287i | ||||
\(969\) | −5.20245 | − | 15.0315i | −0.167127 | − | 0.482881i | ||||
\(970\) | 8.65649 | + | 6.80754i | 0.277943 | + | 0.218577i | ||||
\(971\) | 31.5910 | − | 30.1219i | 1.01380 | − | 0.966658i | 0.0143545 | − | 0.999897i | \(-0.495431\pi\) |
0.999447 | + | 0.0332388i | \(0.0105822\pi\) | |||||||
\(972\) | 0.134929 | − | 0.128654i | 0.00432785 | − | 0.00412659i | ||||
\(973\) | 23.3237 | + | 18.3420i | 0.747724 | + | 0.588017i | ||||
\(974\) | 0.878054 | + | 2.53697i | 0.0281347 | + | 0.0812898i | ||||
\(975\) | −0.795841 | − | 1.37844i | −0.0254873 | − | 0.0441453i | ||||
\(976\) | 19.1687 | − | 33.2011i | 0.613575 | − | 1.06274i | ||||
\(977\) | 4.76679 | + | 0.918723i | 0.152503 | + | 0.0293925i | 0.264931 | − | 0.964267i | \(-0.414651\pi\) |
−0.112428 | + | 0.993660i | \(0.535863\pi\) | |||||||
\(978\) | 10.9375 | + | 23.9497i | 0.349742 | + | 0.765828i | ||||
\(979\) | 9.50499 | − | 4.90016i | 0.303781 | − | 0.156610i | ||||
\(980\) | 1.27832 | + | 1.47526i | 0.0408345 | + | 0.0471255i | ||||
\(981\) | 4.75010 | + | 3.05270i | 0.151659 | + | 0.0974653i | ||||
\(982\) | −11.7481 | + | 9.23881i | −0.374897 | + | 0.294822i | ||||
\(983\) | −2.76572 | + | 19.2360i | −0.0882128 | + | 0.613534i | 0.896978 | + | 0.442074i | \(0.145757\pi\) |
−0.985191 | + | 0.171459i | \(0.945152\pi\) | |||||||
\(984\) | 7.24514 | + | 0.691827i | 0.230967 | + | 0.0220546i | ||||
\(985\) | 10.7250 | + | 4.29363i | 0.341726 | + | 0.136807i | ||||
\(986\) | −9.90502 | − | 40.8290i | −0.315440 | − | 1.30026i | ||||
\(987\) | −4.11975 | − | 2.12388i | −0.131133 | − | 0.0676038i | ||||
\(988\) | 0.0314150 | − | 0.659482i | 0.000999444 | − | 0.0209809i | ||||
\(989\) | −8.76363 | + | 0.836825i | −0.278667 | + | 0.0266095i | ||||
\(990\) | −3.70764 | − | 1.08866i | −0.117836 | − | 0.0345999i | ||||
\(991\) | 7.14613 | − | 4.59254i | 0.227004 | − | 0.145887i | −0.422195 | − | 0.906505i | \(-0.638740\pi\) |
0.649200 | + | 0.760618i | \(0.275104\pi\) | |||||||
\(992\) | 1.28177 | − | 3.70344i | 0.0406964 | − | 0.117584i | ||||
\(993\) | −17.2703 | + | 3.32858i | −0.548056 | + | 0.105629i | ||||
\(994\) | −15.5798 | − | 21.8788i | −0.494162 | − | 0.693954i | ||||
\(995\) | −40.1783 | + | 16.0850i | −1.27374 | + | 0.509928i | ||||
\(996\) | −0.309140 | + | 0.0907717i | −0.00979548 | + | 0.00287621i | ||||
\(997\) | 28.5752 | − | 32.9775i | 0.904985 | − | 1.04441i | −0.0938231 | − | 0.995589i | \(-0.529909\pi\) |
0.998808 | − | 0.0488190i | \(-0.0155457\pi\) | |||||||
\(998\) | −13.9188 | + | 57.3741i | −0.440592 | + | 1.81615i | ||||
\(999\) | 1.89024 | − | 2.65447i | 0.0598045 | − | 0.0839837i |
(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 | 201.2.m.b.10.5 | ✓ | 120 | |
3.2 | odd | 2 | 603.2.z.d.10.2 | 120 | |||
67.47 | even | 33 | inner | 201.2.m.b.181.5 | yes | 120 | |
201.47 | odd | 66 | 603.2.z.d.181.2 | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
201.2.m.b.10.5 | ✓ | 120 | 1.1 | even | 1 | trivial | |
201.2.m.b.181.5 | yes | 120 | 67.47 | even | 33 | inner | |
603.2.z.d.10.2 | 120 | 3.2 | odd | 2 | |||
603.2.z.d.181.2 | 120 | 201.47 | odd | 66 |