Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [45,2,Mod(2,45)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(45, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([2, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("45.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 45 = 3^{2} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 45.l (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.359326809096\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{12})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 6 x^{15} + 18 x^{14} - 36 x^{13} + 34 x^{12} + 18 x^{11} - 72 x^{10} + 132 x^{9} - 93 x^{8} + \cdots + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 38.3 | ||
Root | \(-0.186243 - 0.0499037i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 45.38 |
Dual form | 45.2.l.a.32.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/45\mathbb{Z}\right)^\times\).
\(n\) | \(11\) | \(37\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{3}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.186243 | − | 0.0499037i | 0.131694 | − | 0.0352872i | −0.192370 | − | 0.981322i | \(-0.561617\pi\) |
0.324064 | + | 0.946035i | \(0.394951\pi\) | |||||||
\(3\) | 1.53295 | − | 0.806271i | 0.885048 | − | 0.465501i | ||||
\(4\) | −1.69985 | + | 0.981412i | −0.849927 | + | 0.490706i | ||||
\(5\) | −2.04963 | − | 0.893868i | −0.916624 | − | 0.399750i | ||||
\(6\) | 0.245265 | − | 0.226662i | 0.100129 | − | 0.0925344i | ||||
\(7\) | 0.632007 | + | 2.35868i | 0.238876 | + | 0.891499i | 0.976363 | + | 0.216137i | \(0.0693458\pi\) |
−0.737487 | + | 0.675362i | \(0.763988\pi\) | |||||||
\(8\) | −0.540289 | + | 0.540289i | −0.191021 | + | 0.191021i | ||||
\(9\) | 1.69985 | − | 2.47194i | 0.566618 | − | 0.823980i | ||||
\(10\) | −0.426337 | − | 0.0641924i | −0.134820 | − | 0.0202994i | ||||
\(11\) | −2.14390 | − | 1.23778i | −0.646409 | − | 0.373204i | 0.140670 | − | 0.990057i | \(-0.455074\pi\) |
−0.787079 | + | 0.616852i | \(0.788408\pi\) | |||||||
\(12\) | −1.81450 | + | 2.87500i | −0.523802 | + | 0.829940i | ||||
\(13\) | −0.422032 | + | 1.57505i | −0.117051 | + | 0.436839i | −0.999432 | − | 0.0336956i | \(-0.989272\pi\) |
0.882381 | + | 0.470535i | \(0.155939\pi\) | |||||||
\(14\) | 0.235414 | + | 0.407749i | 0.0629170 | + | 0.108975i | ||||
\(15\) | −3.86268 | + | 0.282308i | −0.997340 | + | 0.0728916i | ||||
\(16\) | 1.88916 | − | 3.27212i | 0.472290 | − | 0.818031i | ||||
\(17\) | 0.403949 | + | 0.403949i | 0.0979721 | + | 0.0979721i | 0.754394 | − | 0.656422i | \(-0.227931\pi\) |
−0.656422 | + | 0.754394i | \(0.727931\pi\) | |||||||
\(18\) | 0.193227 | − | 0.545211i | 0.0455441 | − | 0.128507i | ||||
\(19\) | − | 4.28779i | − | 0.983687i | −0.870684 | − | 0.491843i | \(-0.836323\pi\) | ||
0.870684 | − | 0.491843i | \(-0.163677\pi\) | |||||||
\(20\) | 4.36133 | − | 0.492089i | 0.975224 | − | 0.110035i | ||||
\(21\) | 2.87057 | + | 3.10617i | 0.626410 | + | 0.677822i | ||||
\(22\) | −0.461055 | − | 0.123539i | −0.0982973 | − | 0.0263387i | ||||
\(23\) | 6.82387 | + | 1.82845i | 1.42288 | + | 0.381258i | 0.886503 | − | 0.462723i | \(-0.153128\pi\) |
0.536373 | + | 0.843981i | \(0.319794\pi\) | |||||||
\(24\) | −0.392615 | + | 1.26385i | −0.0801422 | + | 0.257983i | ||||
\(25\) | 3.40200 | + | 3.66420i | 0.680400 | + | 0.732841i | ||||
\(26\) | 0.314402i | 0.0616594i | ||||||||
\(27\) | 0.612733 | − | 5.15990i | 0.117921 | − | 0.993023i | ||||
\(28\) | −3.38916 | − | 3.38916i | −0.640491 | − | 0.640491i | ||||
\(29\) | −3.20524 | + | 5.55164i | −0.595199 | + | 1.03091i | 0.398320 | + | 0.917247i | \(0.369593\pi\) |
−0.993519 | + | 0.113668i | \(0.963740\pi\) | |||||||
\(30\) | −0.705309 | + | 0.245340i | −0.128771 | + | 0.0447927i | ||||
\(31\) | −1.97194 | − | 3.41550i | −0.354171 | − | 0.613442i | 0.632805 | − | 0.774312i | \(-0.281904\pi\) |
−0.986976 | + | 0.160869i | \(0.948570\pi\) | |||||||
\(32\) | 0.584071 | − | 2.17978i | 0.103250 | − | 0.385335i | ||||
\(33\) | −4.28446 | − | 0.168889i | −0.745829 | − | 0.0293998i | ||||
\(34\) | 0.0953913 | + | 0.0550742i | 0.0163595 | + | 0.00944515i | ||||
\(35\) | 0.812968 | − | 5.39937i | 0.137417 | − | 0.912660i | ||||
\(36\) | −0.463514 | + | 5.87020i | −0.0772524 | + | 0.978366i | ||||
\(37\) | −0.171954 | + | 0.171954i | −0.0282691 | + | 0.0282691i | −0.721100 | − | 0.692831i | \(-0.756363\pi\) |
0.692831 | + | 0.721100i | \(0.256363\pi\) | |||||||
\(38\) | −0.213977 | − | 0.798571i | −0.0347116 | − | 0.129545i | ||||
\(39\) | 0.622960 | + | 2.75474i | 0.0997535 | + | 0.441111i | ||||
\(40\) | 1.59034 | − | 0.624448i | 0.251455 | − | 0.0987338i | ||||
\(41\) | −6.52359 | + | 3.76639i | −1.01881 | + | 0.588212i | −0.913760 | − | 0.406255i | \(-0.866835\pi\) |
−0.105053 | + | 0.994467i | \(0.533501\pi\) | |||||||
\(42\) | 0.689633 | + | 0.435250i | 0.106413 | + | 0.0671606i | ||||
\(43\) | −4.95226 | + | 1.32695i | −0.755213 | + | 0.202359i | −0.615829 | − | 0.787880i | \(-0.711179\pi\) |
−0.139384 | + | 0.990238i | \(0.544512\pi\) | |||||||
\(44\) | 4.85908 | 0.732534 | ||||||||
\(45\) | −5.69367 | + | 3.54713i | −0.848762 | + | 0.528775i | ||||
\(46\) | 1.36214 | 0.200837 | ||||||||
\(47\) | 2.91430 | − | 0.780885i | 0.425095 | − | 0.113904i | −0.0399279 | − | 0.999203i | \(-0.512713\pi\) |
0.465023 | + | 0.885299i | \(0.346046\pi\) | |||||||
\(48\) | 0.257767 | − | 6.53917i | 0.0372055 | − | 0.943847i | ||||
\(49\) | 0.898221 | − | 0.518588i | 0.128317 | − | 0.0740841i | ||||
\(50\) | 0.816456 | + | 0.512660i | 0.115464 | + | 0.0725011i | ||||
\(51\) | 0.944926 | + | 0.293541i | 0.132316 | + | 0.0411039i | ||||
\(52\) | −0.828375 | − | 3.09154i | −0.114875 | − | 0.428719i | ||||
\(53\) | −6.12030 | + | 6.12030i | −0.840688 | + | 0.840688i | −0.988948 | − | 0.148260i | \(-0.952633\pi\) |
0.148260 | + | 0.988948i | \(0.452633\pi\) | |||||||
\(54\) | −0.143381 | − | 0.991573i | −0.0195116 | − | 0.134936i | ||||
\(55\) | 3.28779 | + | 4.45335i | 0.443326 | + | 0.600490i | ||||
\(56\) | −1.61584 | − | 0.932904i | −0.215925 | − | 0.124665i | ||||
\(57\) | −3.45712 | − | 6.57296i | −0.457907 | − | 0.870610i | ||||
\(58\) | −0.319907 | + | 1.19391i | −0.0420058 | + | 0.156768i | ||||
\(59\) | −2.27234 | − | 3.93581i | −0.295833 | − | 0.512399i | 0.679345 | − | 0.733819i | \(-0.262264\pi\) |
−0.975178 | + | 0.221421i | \(0.928931\pi\) | |||||||
\(60\) | 6.28894 | − | 4.27076i | 0.811898 | − | 0.551353i | ||||
\(61\) | −0.235795 | + | 0.408408i | −0.0301904 | + | 0.0522913i | −0.880726 | − | 0.473626i | \(-0.842945\pi\) |
0.850535 | + | 0.525918i | \(0.176278\pi\) | |||||||
\(62\) | −0.537706 | − | 0.537706i | −0.0682888 | − | 0.0682888i | ||||
\(63\) | 6.90485 | + | 2.44713i | 0.869929 | + | 0.308310i | ||||
\(64\) | 7.12153i | 0.890191i | ||||||||
\(65\) | 2.27289 | − | 2.85103i | 0.281918 | − | 0.353626i | ||||
\(66\) | −0.806380 | + | 0.182356i | −0.0992585 | + | 0.0224465i | ||||
\(67\) | 1.65496 | + | 0.443446i | 0.202186 | + | 0.0541756i | 0.358491 | − | 0.933533i | \(-0.383291\pi\) |
−0.156305 | + | 0.987709i | \(0.549958\pi\) | |||||||
\(68\) | −1.08310 | − | 0.290215i | −0.131345 | − | 0.0351937i | ||||
\(69\) | 11.9349 | − | 2.69897i | 1.43679 | − | 0.324918i | ||||
\(70\) | −0.118039 | − | 1.04617i | −0.0141083 | − | 0.125041i | ||||
\(71\) | − | 3.50583i | − | 0.416065i | −0.978122 | − | 0.208032i | \(-0.933294\pi\) | ||
0.978122 | − | 0.208032i | \(-0.0667060\pi\) | |||||||
\(72\) | 0.417150 | + | 2.25397i | 0.0491616 | + | 0.265633i | ||||
\(73\) | 6.88847 | + | 6.88847i | 0.806234 | + | 0.806234i | 0.984062 | − | 0.177827i | \(-0.0569069\pi\) |
−0.177827 | + | 0.984062i | \(0.556907\pi\) | |||||||
\(74\) | −0.0234441 | + | 0.0406064i | −0.00272533 | + | 0.00472040i | ||||
\(75\) | 8.16943 | + | 2.87410i | 0.943324 | + | 0.331872i | ||||
\(76\) | 4.20809 | + | 7.28862i | 0.482701 | + | 0.836062i | ||||
\(77\) | 1.56457 | − | 5.83906i | 0.178299 | − | 0.665422i | ||||
\(78\) | 0.253493 | + | 0.481962i | 0.0287025 | + | 0.0545715i | ||||
\(79\) | −6.50159 | − | 3.75369i | −0.731485 | − | 0.422323i | 0.0874799 | − | 0.996166i | \(-0.472119\pi\) |
−0.818965 | + | 0.573843i | \(0.805452\pi\) | |||||||
\(80\) | −6.79693 | + | 5.01799i | −0.759920 | + | 0.561029i | ||||
\(81\) | −3.22099 | − | 8.40388i | −0.357888 | − | 0.933765i | ||||
\(82\) | −1.02702 | + | 1.02702i | −0.113415 | + | 0.113415i | ||||
\(83\) | −2.85794 | − | 10.6660i | −0.313700 | − | 1.17074i | −0.925194 | − | 0.379495i | \(-0.876098\pi\) |
0.611493 | − | 0.791249i | \(-0.290569\pi\) | |||||||
\(84\) | −7.92799 | − | 2.46282i | −0.865014 | − | 0.268716i | ||||
\(85\) | −0.466871 | − | 1.18903i | −0.0506393 | − | 0.128968i | ||||
\(86\) | −0.856104 | + | 0.494272i | −0.0923161 | + | 0.0532987i | ||||
\(87\) | −0.437340 | + | 11.0947i | −0.0468878 | + | 1.18947i | ||||
\(88\) | 1.82708 | − | 0.489565i | 0.194767 | − | 0.0521878i | ||||
\(89\) | 2.90124 | 0.307531 | 0.153765 | − | 0.988107i | \(-0.450860\pi\) | ||||
0.153765 | + | 0.988107i | \(0.450860\pi\) | |||||||
\(90\) | −0.883391 | + | 0.944763i | −0.0931176 | + | 0.0995868i | ||||
\(91\) | −3.98176 | −0.417402 | ||||||||
\(92\) | −13.3941 | + | 3.58893i | −1.39643 | + | 0.374171i | ||||
\(93\) | −5.77670 | − | 3.64587i | −0.599016 | − | 0.378059i | ||||
\(94\) | 0.503800 | − | 0.290869i | 0.0519630 | − | 0.0300008i | ||||
\(95\) | −3.83272 | + | 8.78840i | −0.393229 | + | 0.901671i | ||||
\(96\) | −0.862145 | − | 3.81241i | −0.0879923 | − | 0.389103i | ||||
\(97\) | −0.379633 | − | 1.41681i | −0.0385459 | − | 0.143855i | 0.943971 | − | 0.330028i | \(-0.107058\pi\) |
−0.982517 | + | 0.186173i | \(0.940392\pi\) | |||||||
\(98\) | 0.141408 | − | 0.141408i | 0.0142844 | − | 0.0142844i | ||||
\(99\) | −6.70403 | + | 3.19554i | −0.673780 | + | 0.321164i | ||||
\(100\) | −9.37900 | − | 2.88985i | −0.937900 | − | 0.288985i | ||||
\(101\) | 15.3563 | + | 8.86596i | 1.52801 | + | 0.882196i | 0.999445 | + | 0.0333015i | \(0.0106022\pi\) |
0.528563 | + | 0.848894i | \(0.322731\pi\) | |||||||
\(102\) | 0.190635 | + | 0.00751461i | 0.0188756 | + | 0.000744058i | ||||
\(103\) | 2.74330 | − | 10.2381i | 0.270305 | − | 1.00879i | −0.688617 | − | 0.725125i | \(-0.741782\pi\) |
0.958922 | − | 0.283668i | \(-0.0915515\pi\) | |||||||
\(104\) | −0.622960 | − | 1.07900i | −0.0610863 | − | 0.105805i | ||||
\(105\) | −3.10712 | − | 8.93242i | −0.303224 | − | 0.871715i | ||||
\(106\) | −0.834438 | + | 1.44529i | −0.0810478 | + | 0.140379i | ||||
\(107\) | 10.4591 | + | 10.4591i | 1.01112 | + | 1.01112i | 0.999937 | + | 0.0111806i | \(0.00355898\pi\) |
0.0111806 | + | 0.999937i | \(0.496441\pi\) | |||||||
\(108\) | 4.02243 | + | 9.37242i | 0.387058 | + | 0.901862i | ||||
\(109\) | − | 0.343204i | − | 0.0328730i | −0.999865 | − | 0.0164365i | \(-0.994768\pi\) | ||
0.999865 | − | 0.0164365i | \(-0.00523214\pi\) | |||||||
\(110\) | 0.834567 | + | 0.665333i | 0.0795728 | + | 0.0634370i | ||||
\(111\) | −0.124955 | + | 0.402239i | −0.0118602 | + | 0.0381788i | ||||
\(112\) | 8.91187 | + | 2.38793i | 0.842092 | + | 0.225638i | ||||
\(113\) | 5.19250 | + | 1.39133i | 0.488469 | + | 0.130885i | 0.494643 | − | 0.869096i | \(-0.335299\pi\) |
−0.00617426 | + | 0.999981i | \(0.501965\pi\) | |||||||
\(114\) | −0.971879 | − | 1.05164i | −0.0910248 | − | 0.0984955i | ||||
\(115\) | −12.3520 | − | 9.84729i | −1.15183 | − | 0.918265i | ||||
\(116\) | − | 12.5827i | − | 1.16827i | ||||||
\(117\) | 3.17603 | + | 3.72059i | 0.293624 | + | 0.343969i | ||||
\(118\) | −0.619619 | − | 0.619619i | −0.0570405 | − | 0.0570405i | ||||
\(119\) | −0.697490 | + | 1.20809i | −0.0639388 | + | 0.110745i | ||||
\(120\) | 1.93444 | − | 2.23949i | 0.176589 | − | 0.204437i | ||||
\(121\) | −2.43581 | − | 4.21894i | −0.221437 | − | 0.383540i | ||||
\(122\) | −0.0235340 | + | 0.0878302i | −0.00213067 | + | 0.00795177i | ||||
\(123\) | −6.96358 | + | 11.0335i | −0.627885 | + | 0.994854i | ||||
\(124\) | 6.70403 | + | 3.87057i | 0.602039 | + | 0.347588i | ||||
\(125\) | −3.69754 | − | 10.5512i | −0.330718 | − | 0.943730i | ||||
\(126\) | 1.40810 | + | 0.111184i | 0.125444 | + | 0.00990510i | ||||
\(127\) | −3.59190 | + | 3.59190i | −0.318729 | + | 0.318729i | −0.848279 | − | 0.529550i | \(-0.822361\pi\) |
0.529550 | + | 0.848279i | \(0.322361\pi\) | |||||||
\(128\) | 1.52353 | + | 5.68590i | 0.134662 | + | 0.502567i | ||||
\(129\) | −6.52167 | + | 6.02702i | −0.574201 | + | 0.530649i | ||||
\(130\) | 0.281034 | − | 0.644410i | 0.0246483 | − | 0.0565185i | ||||
\(131\) | 14.5188 | − | 8.38241i | 1.26851 | − | 0.732375i | 0.293804 | − | 0.955866i | \(-0.405079\pi\) |
0.974706 | + | 0.223491i | \(0.0717453\pi\) | |||||||
\(132\) | 7.44872 | − | 3.91774i | 0.648327 | − | 0.340995i | ||||
\(133\) | 10.1135 | − | 2.70992i | 0.876956 | − | 0.234980i | ||||
\(134\) | 0.330355 | 0.0285383 | ||||||||
\(135\) | −5.86815 | + | 10.0282i | −0.505050 | + | 0.863090i | ||||
\(136\) | −0.436499 | −0.0374295 | ||||||||
\(137\) | −6.17718 | + | 1.65517i | −0.527752 | + | 0.141411i | −0.512850 | − | 0.858478i | \(-0.671410\pi\) |
−0.0149021 | + | 0.999889i | \(0.504744\pi\) | |||||||
\(138\) | 2.08810 | − | 1.09826i | 0.177751 | − | 0.0934899i | ||||
\(139\) | 9.09433 | − | 5.25061i | 0.771371 | − | 0.445351i | −0.0619924 | − | 0.998077i | \(-0.519745\pi\) |
0.833364 | + | 0.552725i | \(0.186412\pi\) | |||||||
\(140\) | 3.91708 | + | 9.97600i | 0.331054 | + | 0.843126i | ||||
\(141\) | 3.83787 | − | 3.54677i | 0.323207 | − | 0.298692i | ||||
\(142\) | −0.174954 | − | 0.652936i | −0.0146818 | − | 0.0547931i | ||||
\(143\) | 2.85435 | − | 2.85435i | 0.238693 | − | 0.238693i | ||||
\(144\) | −4.87720 | − | 10.2320i | −0.406433 | − | 0.852669i | ||||
\(145\) | 11.5320 | − | 8.51378i | 0.957682 | − | 0.707031i | ||||
\(146\) | 1.62669 | + | 0.939170i | 0.134626 | + | 0.0777262i | ||||
\(147\) | 0.958803 | − | 1.51918i | 0.0790808 | − | 0.125300i | ||||
\(148\) | 0.123539 | − | 0.461055i | 0.0101549 | − | 0.0378985i | ||||
\(149\) | −4.96581 | − | 8.60103i | −0.406815 | − | 0.704624i | 0.587716 | − | 0.809067i | \(-0.300027\pi\) |
−0.994531 | + | 0.104443i | \(0.966694\pi\) | |||||||
\(150\) | 1.66493 | + | 0.127596i | 0.135941 | + | 0.0104182i | ||||
\(151\) | −6.95939 | + | 12.0540i | −0.566347 | + | 0.980942i | 0.430576 | + | 0.902555i | \(0.358311\pi\) |
−0.996923 | + | 0.0783879i | \(0.975023\pi\) | |||||||
\(152\) | 2.31665 | + | 2.31665i | 0.187905 | + | 0.187905i | ||||
\(153\) | 1.68519 | − | 0.311884i | 0.136240 | − | 0.0252143i | ||||
\(154\) | − | 1.16556i | − | 0.0939236i | ||||||
\(155\) | 0.988751 | + | 8.76319i | 0.0794184 | + | 0.703876i | ||||
\(156\) | −3.76247 | − | 4.07127i | −0.301239 | − | 0.325962i | ||||
\(157\) | −20.2365 | − | 5.42234i | −1.61505 | − | 0.432750i | −0.665504 | − | 0.746394i | \(-0.731784\pi\) |
−0.949541 | + | 0.313644i | \(0.898450\pi\) | |||||||
\(158\) | −1.39820 | − | 0.374646i | −0.111235 | − | 0.0298052i | ||||
\(159\) | −4.44748 | + | 14.3167i | −0.352708 | + | 1.13539i | ||||
\(160\) | −3.14557 | + | 3.94567i | −0.248679 | + | 0.311933i | ||||
\(161\) | 17.2510i | 1.35957i | ||||||||
\(162\) | −1.01927 | − | 1.40443i | −0.0800815 | − | 0.110342i | ||||
\(163\) | −2.42872 | − | 2.42872i | −0.190232 | − | 0.190232i | 0.605564 | − | 0.795796i | \(-0.292948\pi\) |
−0.795796 | + | 0.605564i | \(0.792948\pi\) | |||||||
\(164\) | 7.39277 | − | 12.8046i | 0.577278 | − | 0.999875i | ||||
\(165\) | 8.63062 | + | 4.17591i | 0.671893 | + | 0.325094i | ||||
\(166\) | −1.06454 | − | 1.84385i | −0.0826247 | − | 0.143110i | ||||
\(167\) | −2.20590 | + | 8.23252i | −0.170697 | + | 0.637052i | 0.826547 | + | 0.562868i | \(0.190302\pi\) |
−0.997245 | + | 0.0741841i | \(0.976365\pi\) | |||||||
\(168\) | −3.22917 | − | 0.127290i | −0.249136 | − | 0.00982066i | ||||
\(169\) | 8.95567 | + | 5.17056i | 0.688898 | + | 0.397735i | ||||
\(170\) | −0.146288 | − | 0.198149i | −0.0112198 | − | 0.0151974i | ||||
\(171\) | −10.5992 | − | 7.28862i | −0.810539 | − | 0.557375i | ||||
\(172\) | 7.11584 | − | 7.11584i | 0.542577 | − | 0.542577i | ||||
\(173\) | −4.57458 | − | 17.0726i | −0.347799 | − | 1.29800i | −0.889308 | − | 0.457308i | \(-0.848814\pi\) |
0.541509 | − | 0.840695i | \(-0.317853\pi\) | |||||||
\(174\) | 0.472213 | + | 2.08813i | 0.0357984 | + | 0.158301i | ||||
\(175\) | −6.49261 | + | 10.3400i | −0.490795 | + | 0.781634i | ||||
\(176\) | −8.10033 | + | 4.67673i | −0.610585 | + | 0.352521i | ||||
\(177\) | −6.65670 | − | 4.20126i | −0.500348 | − | 0.315786i | ||||
\(178\) | 0.540336 | − | 0.144783i | 0.0404999 | − | 0.0108519i | ||||
\(179\) | −8.30788 | −0.620960 | −0.310480 | − | 0.950580i | \(-0.600490\pi\) | ||||
−0.310480 | + | 0.950580i | \(0.600490\pi\) | |||||||
\(180\) | 6.19722 | − | 11.6174i | 0.461913 | − | 0.865913i | ||||
\(181\) | −4.73429 | −0.351897 | −0.175948 | − | 0.984399i | \(-0.556299\pi\) | ||||
−0.175948 | + | 0.984399i | \(0.556299\pi\) | |||||||
\(182\) | −0.741576 | + | 0.198705i | −0.0549693 | + | 0.0147290i | ||||
\(183\) | −0.0321731 | + | 0.816183i | −0.00237830 | + | 0.0603340i | ||||
\(184\) | −4.67475 | + | 2.69897i | −0.344627 | + | 0.198971i | ||||
\(185\) | 0.506148 | − | 0.198739i | 0.0372127 | − | 0.0146116i | ||||
\(186\) | −1.25781 | − | 0.390739i | −0.0922273 | − | 0.0286503i | ||||
\(187\) | −0.366025 | − | 1.36603i | −0.0267664 | − | 0.0998937i | ||||
\(188\) | −4.18752 | + | 4.18752i | −0.305406 | + | 0.305406i | ||||
\(189\) | 12.5578 | − | 1.81585i | 0.913447 | − | 0.132084i | ||||
\(190\) | −0.275244 | + | 1.82805i | −0.0199683 | + | 0.132620i | ||||
\(191\) | −3.34902 | − | 1.93356i | −0.242327 | − | 0.139907i | 0.373919 | − | 0.927461i | \(-0.378014\pi\) |
−0.616246 | + | 0.787554i | \(0.711347\pi\) | |||||||
\(192\) | 5.74188 | + | 10.9169i | 0.414384 | + | 0.787861i | ||||
\(193\) | −4.44530 | + | 16.5901i | −0.319979 | + | 1.19418i | 0.599284 | + | 0.800536i | \(0.295452\pi\) |
−0.919263 | + | 0.393643i | \(0.871215\pi\) | |||||||
\(194\) | −0.141408 | − | 0.244926i | −0.0101525 | − | 0.0175847i | ||||
\(195\) | 1.18553 | − | 6.20304i | 0.0848974 | − | 0.444209i | ||||
\(196\) | −1.01790 | + | 1.76305i | −0.0727070 | + | 0.125932i | ||||
\(197\) | −11.0386 | − | 11.0386i | −0.786469 | − | 0.786469i | 0.194445 | − | 0.980913i | \(-0.437709\pi\) |
−0.980913 | + | 0.194445i | \(0.937709\pi\) | |||||||
\(198\) | −1.08911 | + | 0.929703i | −0.0773996 | + | 0.0660711i | ||||
\(199\) | 3.60138i | 0.255295i | 0.991820 | + | 0.127648i | \(0.0407427\pi\) | ||||
−0.991820 | + | 0.127648i | \(0.959257\pi\) | |||||||
\(200\) | −3.81779 | − | 0.141666i | −0.269959 | − | 0.0100173i | ||||
\(201\) | 2.89451 | − | 0.654569i | 0.204163 | − | 0.0461698i | ||||
\(202\) | 3.30245 | + | 0.884888i | 0.232359 | + | 0.0622605i | ||||
\(203\) | −15.1203 | − | 4.05148i | −1.06124 | − | 0.284358i | ||||
\(204\) | −1.89432 | + | 0.428385i | −0.132629 | + | 0.0299929i | ||||
\(205\) | 16.7376 | − | 1.88851i | 1.16901 | − | 0.131899i | ||||
\(206\) | − | 2.04368i | − | 0.142390i | ||||||
\(207\) | 16.1194 | − | 13.7601i | 1.12038 | − | 0.956394i | ||||
\(208\) | 4.35646 | + | 4.35646i | 0.302066 | + | 0.302066i | ||||
\(209\) | −5.30734 | + | 9.19258i | −0.367116 | + | 0.635864i | ||||
\(210\) | −1.02444 | − | 1.50854i | −0.0706931 | − | 0.104099i | ||||
\(211\) | 9.56007 | + | 16.5585i | 0.658142 | + | 1.13994i | 0.981096 | + | 0.193521i | \(0.0619909\pi\) |
−0.322954 | + | 0.946415i | \(0.604676\pi\) | |||||||
\(212\) | 4.39709 | − | 16.4102i | 0.301993 | − | 1.12705i | ||||
\(213\) | −2.82664 | − | 5.37425i | −0.193678 | − | 0.368237i | ||||
\(214\) | 2.46988 | + | 1.42599i | 0.168837 | + | 0.0974783i | ||||
\(215\) | 11.3364 | + | 1.70690i | 0.773139 | + | 0.116409i | ||||
\(216\) | 2.45678 | + | 3.11889i | 0.167163 | + | 0.212213i | ||||
\(217\) | 6.80981 | − | 6.80981i | 0.462280 | − | 0.462280i | ||||
\(218\) | −0.0171272 | − | 0.0639194i | −0.00116000 | − | 0.00432917i | ||||
\(219\) | 16.1136 | + | 5.00569i | 1.08886 | + | 0.338253i | ||||
\(220\) | −9.95934 | − | 4.34338i | −0.671459 | − | 0.292830i | ||||
\(221\) | −0.806719 | + | 0.465759i | −0.0542658 | + | 0.0313304i | ||||
\(222\) | −0.00319884 | + | 0.0811499i | −0.000214692 | + | 0.00544642i | ||||
\(223\) | 4.03530 | − | 1.08126i | 0.270224 | − | 0.0724062i | −0.121163 | − | 0.992633i | \(-0.538662\pi\) |
0.391386 | + | 0.920226i | \(0.371996\pi\) | |||||||
\(224\) | 5.51055 | 0.368189 | ||||||||
\(225\) | 14.8406 | − | 2.18093i | 0.989374 | − | 0.145395i | ||||
\(226\) | 1.03650 | 0.0689469 | ||||||||
\(227\) | 13.2857 | − | 3.55990i | 0.881803 | − | 0.236279i | 0.210618 | − | 0.977568i | \(-0.432452\pi\) |
0.671185 | + | 0.741290i | \(0.265786\pi\) | |||||||
\(228\) | 12.3274 | + | 7.78022i | 0.816401 | + | 0.515257i | ||||
\(229\) | −13.2694 | + | 7.66109i | −0.876866 | + | 0.506259i | −0.869624 | − | 0.493715i | \(-0.835639\pi\) |
−0.00724242 | + | 0.999974i | \(0.502305\pi\) | |||||||
\(230\) | −2.79190 | − | 1.21758i | −0.184092 | − | 0.0802847i | ||||
\(231\) | −2.30946 | − | 10.2124i | −0.151951 | − | 0.671929i | ||||
\(232\) | −1.26773 | − | 4.73125i | −0.0832308 | − | 0.310622i | ||||
\(233\) | −2.98562 | + | 2.98562i | −0.195595 | + | 0.195595i | −0.798108 | − | 0.602514i | \(-0.794166\pi\) |
0.602514 | + | 0.798108i | \(0.294166\pi\) | |||||||
\(234\) | 0.777184 | + | 0.534438i | 0.0508061 | + | 0.0349373i | ||||
\(235\) | −6.67126 | − | 1.00447i | −0.435185 | − | 0.0655246i | ||||
\(236\) | 7.72529 | + | 4.46020i | 0.502874 | + | 0.290334i | ||||
\(237\) | −12.9931 | − | 0.512173i | −0.843991 | − | 0.0332692i | ||||
\(238\) | −0.0696146 | + | 0.259805i | −0.00451245 | + | 0.0168407i | ||||
\(239\) | 2.59439 | + | 4.49362i | 0.167817 | + | 0.290668i | 0.937652 | − | 0.347575i | \(-0.112995\pi\) |
−0.769835 | + | 0.638243i | \(0.779661\pi\) | |||||||
\(240\) | −6.37348 | + | 13.1725i | −0.411406 | + | 0.850280i | ||||
\(241\) | 1.85872 | − | 3.21939i | 0.119730 | − | 0.207379i | −0.799930 | − | 0.600093i | \(-0.795130\pi\) |
0.919661 | + | 0.392714i | \(0.128464\pi\) | |||||||
\(242\) | −0.664193 | − | 0.664193i | −0.0426959 | − | 0.0426959i | ||||
\(243\) | −11.7134 | − | 10.2857i | −0.751416 | − | 0.659829i | ||||
\(244\) | − | 0.925646i | − | 0.0592584i | ||||||
\(245\) | −2.30457 | + | 0.260025i | −0.147234 | + | 0.0166124i | ||||
\(246\) | −0.746308 | + | 2.40241i | −0.0475829 | + | 0.153172i | ||||
\(247\) | 6.75347 | + | 1.80959i | 0.429713 | + | 0.115141i | ||||
\(248\) | 2.91078 | + | 0.779940i | 0.184834 | + | 0.0495262i | ||||
\(249\) | −12.9808 | − | 14.0461i | −0.822622 | − | 0.890137i | ||||
\(250\) | −1.21519 | − | 1.78057i | −0.0768551 | − | 0.112613i | ||||
\(251\) | − | 3.97271i | − | 0.250755i | −0.992109 | − | 0.125378i | \(-0.959986\pi\) | ||
0.992109 | − | 0.125378i | \(-0.0400142\pi\) | |||||||
\(252\) | −14.1389 | + | 2.61673i | −0.890666 | + | 0.164838i | ||||
\(253\) | −12.3665 | − | 12.3665i | −0.777472 | − | 0.777472i | ||||
\(254\) | −0.489717 | + | 0.848215i | −0.0307276 | + | 0.0532217i | ||||
\(255\) | −1.67437 | − | 1.44629i | −0.104853 | − | 0.0905702i | ||||
\(256\) | −6.55403 | − | 11.3519i | −0.409627 | − | 0.709495i | ||||
\(257\) | −4.42437 | + | 16.5120i | −0.275985 | + | 1.02999i | 0.679194 | + | 0.733959i | \(0.262329\pi\) |
−0.955179 | + | 0.296030i | \(0.904337\pi\) | |||||||
\(258\) | −0.913846 | + | 1.44794i | −0.0568935 | + | 0.0901451i | ||||
\(259\) | −0.514262 | − | 0.296909i | −0.0319547 | − | 0.0184491i | ||||
\(260\) | −1.06556 | + | 7.07698i | −0.0660832 | + | 0.438896i | ||||
\(261\) | 8.27489 | + | 17.3602i | 0.512203 | + | 1.07457i | ||||
\(262\) | 2.28571 | − | 2.28571i | 0.141211 | − | 0.141211i | ||||
\(263\) | 2.77155 | + | 10.3436i | 0.170901 | + | 0.637812i | 0.997214 | + | 0.0746001i | \(0.0237680\pi\) |
−0.826312 | + | 0.563212i | \(0.809565\pi\) | |||||||
\(264\) | 2.40610 | − | 2.22360i | 0.148085 | − | 0.136853i | ||||
\(265\) | 18.0151 | − | 7.07364i | 1.10666 | − | 0.434530i | ||||
\(266\) | 1.74834 | − | 1.00941i | 0.107198 | − | 0.0618907i | ||||
\(267\) | 4.44745 | − | 2.33919i | 0.272179 | − | 0.143156i | ||||
\(268\) | −3.24840 | + | 0.870407i | −0.198428 | + | 0.0531685i | ||||
\(269\) | 15.8925 | 0.968985 | 0.484492 | − | 0.874796i | \(-0.339004\pi\) | ||||
0.484492 | + | 0.874796i | \(0.339004\pi\) | |||||||
\(270\) | −0.592457 | + | 2.16052i | −0.0360558 | + | 0.131485i | ||||
\(271\) | 0.974200 | 0.0591785 | 0.0295892 | − | 0.999562i | \(-0.490580\pi\) | ||||
0.0295892 | + | 0.999562i | \(0.490580\pi\) | |||||||
\(272\) | 2.08490 | − | 0.558646i | 0.126415 | − | 0.0338729i | ||||
\(273\) | −6.10383 | + | 3.21038i | −0.369421 | + | 0.194301i | ||||
\(274\) | −1.06786 | + | 0.616528i | −0.0645117 | + | 0.0372458i | ||||
\(275\) | −2.75806 | − | 12.0666i | −0.166317 | − | 0.727643i | ||||
\(276\) | −17.6387 | + | 16.3009i | −1.06173 | + | 0.981197i | ||||
\(277\) | 6.18395 | + | 23.0788i | 0.371557 | + | 1.38667i | 0.858310 | + | 0.513131i | \(0.171515\pi\) |
−0.486753 | + | 0.873540i | \(0.661819\pi\) | |||||||
\(278\) | 1.43173 | − | 1.43173i | 0.0858695 | − | 0.0858695i | ||||
\(279\) | −11.7949 | − | 0.931335i | −0.706144 | − | 0.0557576i | ||||
\(280\) | 2.47798 | + | 3.35646i | 0.148088 | + | 0.200587i | ||||
\(281\) | −23.9241 | − | 13.8126i | −1.42720 | − | 0.823991i | −0.430296 | − | 0.902688i | \(-0.641591\pi\) |
−0.996899 | + | 0.0786961i | \(0.974924\pi\) | |||||||
\(282\) | 0.537779 | − | 0.852086i | 0.0320243 | − | 0.0507410i | ||||
\(283\) | 4.40870 | − | 16.4535i | 0.262070 | − | 0.978058i | −0.701950 | − | 0.712227i | \(-0.747687\pi\) |
0.964020 | − | 0.265831i | \(-0.0856465\pi\) | |||||||
\(284\) | 3.44066 | + | 5.95939i | 0.204165 | + | 0.353625i | ||||
\(285\) | 1.21048 | + | 16.5624i | 0.0717025 | + | 0.981070i | ||||
\(286\) | 0.389161 | − | 0.674046i | 0.0230115 | − | 0.0398572i | ||||
\(287\) | −13.0067 | − | 13.0067i | −0.767761 | − | 0.767761i | ||||
\(288\) | −4.39546 | − | 5.14910i | −0.259005 | − | 0.303414i | ||||
\(289\) | − | 16.6736i | − | 0.980803i | ||||||
\(290\) | 1.72289 | − | 2.16112i | 0.101171 | − | 0.126905i | ||||
\(291\) | −1.72429 | − | 1.86581i | −0.101080 | − | 0.109376i | ||||
\(292\) | −18.4698 | − | 4.94897i | −1.08086 | − | 0.289617i | ||||
\(293\) | 25.7566 | + | 6.90146i | 1.50472 | + | 0.403188i | 0.914677 | − | 0.404186i | \(-0.132445\pi\) |
0.590041 | + | 0.807374i | \(0.299112\pi\) | |||||||
\(294\) | 0.102758 | − | 0.330784i | 0.00599296 | − | 0.0192917i | ||||
\(295\) | 1.13937 | + | 10.0981i | 0.0663369 | + | 0.587936i | ||||
\(296\) | − | 0.185810i | − | 0.0108000i | ||||||
\(297\) | −7.70045 | + | 10.3039i | −0.446825 | + | 0.597890i | ||||
\(298\) | −1.35407 | − | 1.35407i | −0.0784392 | − | 0.0784392i | ||||
\(299\) | −5.75979 | + | 9.97625i | −0.333097 | + | 0.576941i | ||||
\(300\) | −16.7075 | + | 3.13202i | −0.964609 | + | 0.180827i | ||||
\(301\) | −6.25973 | − | 10.8422i | −0.360805 | − | 0.624933i | ||||
\(302\) | −0.694599 | + | 2.59228i | −0.0399697 | + | 0.149169i | ||||
\(303\) | 30.6887 | + | 1.20972i | 1.76302 | + | 0.0694965i | ||||
\(304\) | −14.0302 | − | 8.10033i | −0.804686 | − | 0.464586i | ||||
\(305\) | 0.848356 | − | 0.626318i | 0.0485767 | − | 0.0358629i | ||||
\(306\) | 0.298292 | − | 0.142184i | 0.0170522 | − | 0.00812810i | ||||
\(307\) | −12.3556 | + | 12.3556i | −0.705171 | + | 0.705171i | −0.965516 | − | 0.260345i | \(-0.916164\pi\) |
0.260345 | + | 0.965516i | \(0.416164\pi\) | |||||||
\(308\) | 3.07098 | + | 11.4610i | 0.174985 | + | 0.653053i | ||||
\(309\) | −4.04938 | − | 17.9064i | −0.230361 | − | 1.01866i | ||||
\(310\) | 0.621463 | + | 1.58274i | 0.0352967 | + | 0.0898936i | ||||
\(311\) | 7.49228 | − | 4.32567i | 0.424848 | − | 0.245286i | −0.272301 | − | 0.962212i | \(-0.587785\pi\) |
0.697149 | + | 0.716926i | \(0.254451\pi\) | |||||||
\(312\) | −1.82493 | − | 1.15177i | −0.103316 | − | 0.0652064i | ||||
\(313\) | −18.1094 | + | 4.85240i | −1.02360 | + | 0.274274i | −0.731303 | − | 0.682052i | \(-0.761088\pi\) |
−0.292301 | + | 0.956326i | \(0.594421\pi\) | |||||||
\(314\) | −4.03949 | −0.227962 | ||||||||
\(315\) | −11.9650 | − | 11.1878i | −0.674151 | − | 0.630358i | ||||
\(316\) | 14.7357 | 0.828946 | ||||||||
\(317\) | 18.7418 | − | 5.02186i | 1.05265 | − | 0.282056i | 0.309301 | − | 0.950964i | \(-0.399905\pi\) |
0.743345 | + | 0.668908i | \(0.233238\pi\) | |||||||
\(318\) | −0.113855 | + | 2.88834i | −0.00638468 | + | 0.161970i | ||||
\(319\) | 13.7434 | − | 7.93476i | 0.769484 | − | 0.444262i | ||||
\(320\) | 6.36570 | − | 14.5965i | 0.355854 | − | 0.815970i | ||||
\(321\) | 24.4661 | + | 7.60037i | 1.36556 | + | 0.424211i | ||||
\(322\) | 0.860886 | + | 3.21287i | 0.0479753 | + | 0.179046i | ||||
\(323\) | 1.73205 | − | 1.73205i | 0.0963739 | − | 0.0963739i | ||||
\(324\) | 13.7229 | + | 11.1243i | 0.762382 | + | 0.618015i | ||||
\(325\) | −7.20704 | + | 3.81190i | −0.399775 | + | 0.211446i | ||||
\(326\) | −0.573535 | − | 0.331131i | −0.0317652 | − | 0.0183396i | ||||
\(327\) | −0.276716 | − | 0.526114i | −0.0153024 | − | 0.0290942i | ||||
\(328\) | 1.48968 | − | 5.55956i | 0.0822538 | − | 0.306975i | ||||
\(329\) | 3.68372 | + | 6.38039i | 0.203090 | + | 0.351763i | ||||
\(330\) | 1.81579 | + | 0.347034i | 0.0999557 | + | 0.0191036i | ||||
\(331\) | 17.1969 | − | 29.7859i | 0.945226 | − | 1.63718i | 0.189929 | − | 0.981798i | \(-0.439174\pi\) |
0.755298 | − | 0.655382i | \(-0.227492\pi\) | |||||||
\(332\) | 15.3258 | + | 15.3258i | 0.841114 | + | 0.841114i | ||||
\(333\) | 0.132764 | + | 0.717358i | 0.00727540 | + | 0.0393110i | ||||
\(334\) | 1.64333i | 0.0899191i | ||||||||
\(335\) | −2.99569 | − | 2.38822i | −0.163672 | − | 0.130482i | ||||
\(336\) | 15.5867 | − | 3.52481i | 0.850326 | − | 0.192294i | ||||
\(337\) | 30.9291 | + | 8.28744i | 1.68482 | + | 0.451445i | 0.969044 | − | 0.246888i | \(-0.0794079\pi\) |
0.715773 | + | 0.698333i | \(0.246075\pi\) | |||||||
\(338\) | 1.92596 | + | 0.516060i | 0.104758 | + | 0.0280700i | ||||
\(339\) | 9.08161 | − | 2.05373i | 0.493245 | − | 0.111543i | ||||
\(340\) | 1.96054 | + | 1.56298i | 0.106325 | + | 0.0847644i | ||||
\(341\) | 9.76331i | 0.528713i | ||||||||
\(342\) | −2.33775 | − | 0.828518i | −0.126411 | − | 0.0448011i | ||||
\(343\) | 13.8776 | + | 13.8776i | 0.749320 | + | 0.749320i | ||||
\(344\) | 1.95871 | − | 3.39259i | 0.105607 | − | 0.182916i | ||||
\(345\) | −26.8746 | − | 5.13629i | −1.44688 | − | 0.276528i | ||||
\(346\) | −1.70397 | − | 2.95136i | −0.0916059 | − | 0.158666i | ||||
\(347\) | −4.15647 | + | 15.5122i | −0.223131 | + | 0.832737i | 0.760014 | + | 0.649907i | \(0.225192\pi\) |
−0.983145 | + | 0.182829i | \(0.941474\pi\) | |||||||
\(348\) | −10.1450 | − | 19.2885i | −0.543830 | − | 1.03397i | ||||
\(349\) | −15.1664 | − | 8.75630i | −0.811837 | − | 0.468714i | 0.0357566 | − | 0.999361i | \(-0.488616\pi\) |
−0.847593 | + | 0.530646i | \(0.821949\pi\) | |||||||
\(350\) | −0.693197 | + | 2.24977i | −0.0370529 | + | 0.120255i | ||||
\(351\) | 7.86849 | + | 3.14273i | 0.419989 | + | 0.167746i | ||||
\(352\) | −3.95028 | + | 3.95028i | −0.210550 | + | 0.210550i | ||||
\(353\) | 4.95294 | + | 18.4846i | 0.263618 | + | 0.983837i | 0.963091 | + | 0.269177i | \(0.0867517\pi\) |
−0.699472 | + | 0.714660i | \(0.746582\pi\) | |||||||
\(354\) | −1.44942 | − | 0.450262i | −0.0770360 | − | 0.0239312i | ||||
\(355\) | −3.13374 | + | 7.18566i | −0.166322 | + | 0.381375i | ||||
\(356\) | −4.93169 | + | 2.84731i | −0.261379 | + | 0.150907i | ||||
\(357\) | −0.0951692 | + | 2.41430i | −0.00503689 | + | 0.127778i | ||||
\(358\) | −1.54728 | + | 0.414594i | −0.0817766 | + | 0.0219120i | ||||
\(359\) | −23.0127 | −1.21457 | −0.607283 | − | 0.794486i | \(-0.707741\pi\) | ||||
−0.607283 | + | 0.794486i | \(0.707741\pi\) | |||||||
\(360\) | 1.15975 | − | 4.99270i | 0.0611242 | − | 0.263138i | ||||
\(361\) | 0.614846 | 0.0323603 | ||||||||
\(362\) | −0.881728 | + | 0.236258i | −0.0463426 | + | 0.0124175i | ||||
\(363\) | −7.13557 | − | 4.50350i | −0.374521 | − | 0.236372i | ||||
\(364\) | 6.76842 | − | 3.90775i | 0.354762 | − | 0.204822i | ||||
\(365\) | −7.96146 | − | 20.2762i | −0.416722 | − | 1.06131i | ||||
\(366\) | 0.0347385 | + | 0.153614i | 0.00181581 | + | 0.00802953i | ||||
\(367\) | −7.01692 | − | 26.1875i | −0.366280 | − | 1.36698i | −0.865677 | − | 0.500603i | \(-0.833112\pi\) |
0.499397 | − | 0.866373i | \(-0.333555\pi\) | |||||||
\(368\) | 18.8743 | − | 18.8743i | 0.983891 | − | 0.983891i | ||||
\(369\) | −1.77884 | + | 22.5282i | −0.0926029 | + | 1.17277i | ||||
\(370\) | 0.0843487 | − | 0.0622724i | 0.00438508 | − | 0.00323739i | ||||
\(371\) | −18.3039 | − | 10.5678i | −0.950293 | − | 0.548652i | ||||
\(372\) | 13.3977 | + | 0.528121i | 0.694636 | + | 0.0273818i | ||||
\(373\) | −7.76440 | + | 28.9771i | −0.402025 | + | 1.50038i | 0.407451 | + | 0.913227i | \(0.366418\pi\) |
−0.809477 | + | 0.587152i | \(0.800249\pi\) | |||||||
\(374\) | −0.136339 | − | 0.236147i | −0.00704994 | − | 0.0122109i | ||||
\(375\) | −14.1753 | − | 13.1932i | −0.732008 | − | 0.681296i | ||||
\(376\) | −1.15266 | + | 1.99647i | −0.0594440 | + | 0.102960i | ||||
\(377\) | −7.39138 | − | 7.39138i | −0.380675 | − | 0.380675i | ||||
\(378\) | 2.24819 | − | 0.964871i | 0.115634 | − | 0.0496276i | ||||
\(379\) | 20.0943i | 1.03218i | 0.856535 | + | 0.516089i | \(0.172612\pi\) | ||||
−0.856535 | + | 0.516089i | \(0.827388\pi\) | |||||||
\(380\) | −2.10998 | − | 18.7005i | −0.108240 | − | 0.959315i | ||||
\(381\) | −2.61015 | + | 8.40224i | −0.133722 | + | 0.430460i | ||||
\(382\) | −0.720223 | − | 0.192983i | −0.0368498 | − | 0.00987388i | ||||
\(383\) | −26.6536 | − | 7.14181i | −1.36194 | − | 0.364929i | −0.497409 | − | 0.867516i | \(-0.665715\pi\) |
−0.864527 | + | 0.502587i | \(0.832382\pi\) | |||||||
\(384\) | 6.91987 | + | 7.48780i | 0.353128 | + | 0.382110i | ||||
\(385\) | −8.42614 | + | 10.5694i | −0.429436 | + | 0.538667i | ||||
\(386\) | 3.31162i | 0.168557i | ||||||||
\(387\) | −5.13797 | + | 14.4973i | −0.261178 | + | 0.736941i | ||||
\(388\) | 2.03579 | + | 2.03579i | 0.103352 | + | 0.103352i | ||||
\(389\) | 6.71184 | − | 11.6253i | 0.340304 | − | 0.589424i | −0.644185 | − | 0.764870i | \(-0.722803\pi\) |
0.984489 | + | 0.175446i | \(0.0561367\pi\) | |||||||
\(390\) | −0.0887583 | − | 1.21444i | −0.00449445 | − | 0.0614953i | ||||
\(391\) | 2.01790 | + | 3.49510i | 0.102049 | + | 0.176755i | ||||
\(392\) | −0.205111 | + | 0.765487i | −0.0103597 | + | 0.0386629i | ||||
\(393\) | 15.4980 | − | 24.5558i | 0.781771 | − | 1.23868i | ||||
\(394\) | −2.60673 | − | 1.50500i | −0.131325 | − | 0.0758207i | ||||
\(395\) | 9.97057 | + | 13.5053i | 0.501674 | + | 0.679523i | ||||
\(396\) | 8.25973 | − | 12.0114i | 0.415067 | − | 0.603594i | ||||
\(397\) | −12.8716 | + | 12.8716i | −0.646008 | + | 0.646008i | −0.952026 | − | 0.306018i | \(-0.901003\pi\) |
0.306018 | + | 0.952026i | \(0.401003\pi\) | |||||||
\(398\) | 0.179722 | + | 0.670732i | 0.00900866 | + | 0.0336208i | ||||
\(399\) | 13.3186 | − | 12.3084i | 0.666764 | − | 0.616191i | ||||
\(400\) | 18.4166 | − | 4.20949i | 0.920832 | − | 0.210475i | ||||
\(401\) | −21.7606 | + | 12.5635i | −1.08667 | + | 0.627391i | −0.932689 | − | 0.360682i | \(-0.882544\pi\) |
−0.153985 | + | 0.988073i | \(0.549211\pi\) | |||||||
\(402\) | 0.506417 | − | 0.266356i | 0.0252578 | − | 0.0132846i | ||||
\(403\) | 6.21180 | − | 1.66445i | 0.309432 | − | 0.0829120i | ||||
\(404\) | −34.8046 | −1.73159 | ||||||||
\(405\) | −0.910113 | + | 20.1040i | −0.0452239 | + | 0.998977i | ||||
\(406\) | −3.01824 | −0.149793 | ||||||||
\(407\) | 0.581494 | − | 0.155811i | 0.0288236 | − | 0.00772325i | ||||
\(408\) | −0.669129 | + | 0.351936i | −0.0331268 | + | 0.0174234i | ||||
\(409\) | −9.81878 | + | 5.66888i | −0.485508 | + | 0.280308i | −0.722709 | − | 0.691153i | \(-0.757103\pi\) |
0.237201 | + | 0.971461i | \(0.423770\pi\) | |||||||
\(410\) | 3.02302 | − | 1.18699i | 0.149296 | − | 0.0586213i | ||||
\(411\) | −8.13478 | + | 7.51777i | −0.401259 | + | 0.370824i | ||||
\(412\) | 5.38461 | + | 20.0957i | 0.265281 | + | 0.990042i | ||||
\(413\) | 7.84719 | − | 7.84719i | 0.386135 | − | 0.386135i | ||||
\(414\) | 2.31545 | − | 3.36714i | 0.113798 | − | 0.165486i | ||||
\(415\) | −3.67625 | + | 24.4160i | −0.180460 | + | 1.19853i | ||||
\(416\) | 3.18676 | + | 1.83988i | 0.156244 | + | 0.0902074i | ||||
\(417\) | 9.70771 | − | 15.3814i | 0.475389 | − | 0.753231i | ||||
\(418\) | −0.529711 | + | 1.97691i | −0.0259090 | + | 0.0966938i | ||||
\(419\) | 4.26264 | + | 7.38311i | 0.208244 | + | 0.360688i | 0.951161 | − | 0.308694i | \(-0.0998920\pi\) |
−0.742918 | + | 0.669383i | \(0.766559\pi\) | |||||||
\(420\) | 14.0480 | + | 12.1345i | 0.685474 | + | 0.592101i | ||||
\(421\) | 1.10329 | − | 1.91095i | 0.0537710 | − | 0.0931341i | −0.837887 | − | 0.545844i | \(-0.816209\pi\) |
0.891658 | + | 0.452710i | \(0.149543\pi\) | |||||||
\(422\) | 2.60683 | + | 2.60683i | 0.126898 | + | 0.126898i | ||||
\(423\) | 3.02359 | − | 8.53138i | 0.147012 | − | 0.414810i | ||||
\(424\) | − | 6.61346i | − | 0.321178i | ||||||
\(425\) | −0.105917 | + | 2.85439i | −0.00513772 | + | 0.138458i | ||||
\(426\) | −0.794637 | − | 0.859856i | −0.0385003 | − | 0.0416601i | ||||
\(427\) | −1.11233 | − | 0.298048i | −0.0538294 | − | 0.0144235i | ||||
\(428\) | −28.0436 | − | 7.51426i | −1.35554 | − | 0.363215i | ||||
\(429\) | 2.07419 | − | 6.67695i | 0.100143 | − | 0.322366i | ||||
\(430\) | 2.19651 | − | 0.247833i | 0.105925 | − | 0.0119516i | ||||
\(431\) | 1.95738i | 0.0942838i | 0.998888 | + | 0.0471419i | \(0.0150113\pi\) | ||||
−0.998888 | + | 0.0471419i | \(0.984989\pi\) | |||||||
\(432\) | −15.7263 | − | 11.7528i | −0.756630 | − | 0.565458i | ||||
\(433\) | −9.71652 | − | 9.71652i | −0.466946 | − | 0.466946i | 0.433978 | − | 0.900924i | \(-0.357110\pi\) |
−0.900924 | + | 0.433978i | \(0.857110\pi\) | |||||||
\(434\) | 0.928445 | − | 1.60811i | 0.0445668 | − | 0.0771919i | ||||
\(435\) | 10.8136 | − | 22.3491i | 0.518470 | − | 1.07156i | ||||
\(436\) | 0.336825 | + | 0.583398i | 0.0161310 | + | 0.0279397i | ||||
\(437\) | 7.84002 | − | 29.2593i | 0.375039 | − | 1.39966i | ||||
\(438\) | 3.25085 | + | 0.128145i | 0.155332 | + | 0.00612302i | ||||
\(439\) | −4.68008 | − | 2.70205i | −0.223368 | − | 0.128962i | 0.384141 | − | 0.923275i | \(-0.374498\pi\) |
−0.607509 | + | 0.794313i | \(0.707831\pi\) | |||||||
\(440\) | −4.18245 | − | 0.629740i | −0.199391 | − | 0.0300217i | ||||
\(441\) | 0.244926 | − | 3.10188i | 0.0116631 | − | 0.147708i | ||||
\(442\) | −0.127003 | + | 0.127003i | −0.00604090 | + | 0.00604090i | ||||
\(443\) | 6.98940 | + | 26.0848i | 0.332077 | + | 1.23933i | 0.907004 | + | 0.421122i | \(0.138364\pi\) |
−0.574927 | + | 0.818204i | \(0.694970\pi\) | |||||||
\(444\) | −0.182356 | − | 0.806380i | −0.00865424 | − | 0.0382691i | ||||
\(445\) | −5.94648 | − | 2.59333i | −0.281890 | − | 0.122935i | ||||
\(446\) | 0.697588 | − | 0.402752i | 0.0330317 | − | 0.0190709i | ||||
\(447\) | −14.5471 | − | 9.18114i | −0.688053 | − | 0.434253i | ||||
\(448\) | −16.7974 | + | 4.50086i | −0.793604 | + | 0.212646i | ||||
\(449\) | 23.8541 | 1.12574 | 0.562872 | − | 0.826544i | \(-0.309696\pi\) | ||||
0.562872 | + | 0.826544i | \(0.309696\pi\) | |||||||
\(450\) | 2.65512 | − | 1.14678i | 0.125164 | − | 0.0540599i | ||||
\(451\) | 18.6479 | 0.878093 | ||||||||
\(452\) | −10.1920 | + | 2.73093i | −0.479389 | + | 0.128452i | ||||
\(453\) | −0.949576 | + | 24.0893i | −0.0446150 | + | 1.13182i | ||||
\(454\) | 2.29672 | − | 1.32601i | 0.107790 | − | 0.0622328i | ||||
\(455\) | 8.16116 | + | 3.55917i | 0.382601 | + | 0.166856i | ||||
\(456\) | 5.41914 | + | 1.68345i | 0.253774 | + | 0.0788349i | ||||
\(457\) | −5.13035 | − | 19.1467i | −0.239988 | − | 0.895647i | −0.975837 | − | 0.218501i | \(-0.929883\pi\) |
0.735849 | − | 0.677146i | \(-0.236783\pi\) | |||||||
\(458\) | −2.08902 | + | 2.08902i | −0.0976133 | + | 0.0976133i | ||||
\(459\) | 2.33185 | − | 1.83682i | 0.108842 | − | 0.0857356i | ||||
\(460\) | 30.6609 | + | 4.61653i | 1.42957 | + | 0.215247i | ||||
\(461\) | −1.14371 | − | 0.660321i | −0.0532679 | − | 0.0307542i | 0.473130 | − | 0.880993i | \(-0.343124\pi\) |
−0.526397 | + | 0.850239i | \(0.676458\pi\) | |||||||
\(462\) | −0.939758 | − | 1.78674i | −0.0437215 | − | 0.0831269i | ||||
\(463\) | 3.98780 | − | 14.8827i | 0.185329 | − | 0.691656i | −0.809231 | − | 0.587490i | \(-0.800116\pi\) |
0.994560 | − | 0.104166i | \(-0.0332172\pi\) | |||||||
\(464\) | 12.1104 | + | 20.9759i | 0.562213 | + | 0.973782i | ||||
\(465\) | 8.58120 | + | 12.6363i | 0.397944 | + | 0.585994i | ||||
\(466\) | −0.407058 | + | 0.705045i | −0.0188566 | + | 0.0326606i | ||||
\(467\) | −1.77645 | − | 1.77645i | −0.0822044 | − | 0.0822044i | 0.664809 | − | 0.747013i | \(-0.268513\pi\) |
−0.747013 | + | 0.664809i | \(0.768513\pi\) | |||||||
\(468\) | −9.05022 | − | 3.20747i | −0.418346 | − | 0.148265i | ||||
\(469\) | 4.18380i | 0.193190i | ||||||||
\(470\) | −1.29260 | + | 0.145844i | −0.0596233 | + | 0.00672730i | ||||
\(471\) | −35.3933 | + | 8.00390i | −1.63084 | + | 0.368800i | ||||
\(472\) | 3.35419 | + | 0.898753i | 0.154389 | + | 0.0413685i | ||||
\(473\) | 12.2596 | + | 3.28495i | 0.563697 | + | 0.151042i | ||||
\(474\) | −2.44543 | + | 0.553014i | −0.112322 | + | 0.0254008i | ||||
\(475\) | 15.7113 | − | 14.5871i | 0.720886 | − | 0.669301i | ||||
\(476\) | − | 2.73810i | − | 0.125501i | ||||||
\(477\) | 4.72541 | + | 25.5327i | 0.216361 | + | 1.16906i | ||||
\(478\) | 0.707436 | + | 0.707436i | 0.0323574 | + | 0.0323574i | ||||
\(479\) | 18.9907 | − | 32.8928i | 0.867705 | − | 1.50291i | 0.00336919 | − | 0.999994i | \(-0.498928\pi\) |
0.864336 | − | 0.502915i | \(-0.167739\pi\) | |||||||
\(480\) | −1.64071 | + | 8.58469i | −0.0748878 | + | 0.391836i | ||||
\(481\) | −0.198266 | − | 0.343406i | −0.00904014 | − | 0.0156580i | ||||
\(482\) | 0.185513 | − | 0.692346i | 0.00844991 | − | 0.0315355i | ||||
\(483\) | 13.9089 | + | 26.4448i | 0.632879 | + | 1.20328i | ||||
\(484\) | 8.28104 | + | 4.78106i | 0.376411 | + | 0.217321i | ||||
\(485\) | −0.488332 | + | 3.24328i | −0.0221740 | + | 0.147270i | ||||
\(486\) | −2.69484 | − | 1.33110i | −0.122240 | − | 0.0603800i | ||||
\(487\) | 23.6900 | − | 23.6900i | 1.07350 | − | 1.07350i | 0.0764213 | − | 0.997076i | \(-0.475651\pi\) |
0.997076 | − | 0.0764213i | \(-0.0243494\pi\) | |||||||
\(488\) | −0.0932612 | − | 0.348056i | −0.00422174 | − | 0.0157557i | ||||
\(489\) | −5.68131 | − | 1.76490i | −0.256918 | − | 0.0798114i | ||||
\(490\) | −0.416235 | + | 0.163435i | −0.0188036 | + | 0.00738322i | ||||
\(491\) | 18.9114 | − | 10.9185i | 0.853460 | − | 0.492746i | −0.00835660 | − | 0.999965i | \(-0.502660\pi\) |
0.861817 | + | 0.507220i | \(0.169327\pi\) | |||||||
\(492\) | 1.00871 | − | 25.5894i | 0.0454761 | − | 1.15366i | ||||
\(493\) | −3.53734 | + | 0.947827i | −0.159314 | + | 0.0426880i | ||||
\(494\) | 1.34809 | 0.0606535 | ||||||||
\(495\) | 16.5972 | − | 0.557174i | 0.745988 | − | 0.0250431i | ||||
\(496\) | −14.9013 | −0.669086 | ||||||||
\(497\) | 8.26913 | − | 2.21571i | 0.370921 | − | 0.0993881i | ||||
\(498\) | −3.11853 | − | 1.96821i | −0.139745 | − | 0.0881974i | ||||
\(499\) | −2.74862 | + | 1.58691i | −0.123045 | + | 0.0710401i | −0.560259 | − | 0.828317i | \(-0.689298\pi\) |
0.437214 | + | 0.899357i | \(0.355965\pi\) | |||||||
\(500\) | 16.6404 | + | 14.3067i | 0.744180 | + | 0.639816i | ||||
\(501\) | 3.25612 | + | 14.3986i | 0.145473 | + | 0.643281i | ||||
\(502\) | −0.198253 | − | 0.739889i | −0.00884845 | − | 0.0330229i | ||||
\(503\) | −7.00484 | + | 7.00484i | −0.312330 | + | 0.312330i | −0.845812 | − | 0.533481i | \(-0.820883\pi\) |
0.533481 | + | 0.845812i | \(0.320883\pi\) | |||||||
\(504\) | −5.05277 | + | 2.40845i | −0.225068 | + | 0.107281i | ||||
\(505\) | −23.5498 | − | 31.8985i | −1.04795 | − | 1.41946i | ||||
\(506\) | −2.92030 | − | 1.68603i | −0.129823 | − | 0.0749534i | ||||
\(507\) | 17.8974 | + | 0.705498i | 0.794853 | + | 0.0313323i | ||||
\(508\) | 2.58058 | − | 9.63084i | 0.114495 | − | 0.427299i | ||||
\(509\) | 8.36206 | + | 14.4835i | 0.370642 | + | 0.641971i | 0.989664 | − | 0.143403i | \(-0.0458044\pi\) |
−0.619023 | + | 0.785373i | \(0.712471\pi\) | |||||||
\(510\) | −0.384014 | − | 0.185804i | −0.0170044 | − | 0.00822755i | ||||
\(511\) | −11.8942 | + | 20.6013i | −0.526167 | + | 0.911347i | ||||
\(512\) | −10.1119 | − | 10.1119i | −0.446886 | − | 0.446886i | ||||
\(513\) | −22.1246 | − | 2.62727i | −0.976824 | − | 0.115997i | ||||
\(514\) | 3.29603i | 0.145382i | ||||||||
\(515\) | −14.7743 | + | 18.5323i | −0.651034 | + | 0.816630i | ||||
\(516\) | 5.17091 | − | 16.6455i | 0.227637 | − | 0.732777i | ||||
\(517\) | −7.21452 | − | 1.93313i | −0.317294 | − | 0.0850188i | ||||
\(518\) | −0.110595 | − | 0.0296337i | −0.00485925 | − | 0.00130203i | ||||
\(519\) | −20.7777 | − | 22.4830i | −0.912040 | − | 0.986894i | ||||
\(520\) | 0.312358 | + | 2.76840i | 0.0136978 | + | 0.121402i | ||||
\(521\) | − | 1.34092i | − | 0.0587466i | −0.999569 | − | 0.0293733i | \(-0.990649\pi\) | ||
0.999569 | − | 0.0293733i | \(-0.00935116\pi\) | |||||||
\(522\) | 2.40748 | + | 2.82026i | 0.105372 | + | 0.123440i | ||||
\(523\) | −9.19187 | − | 9.19187i | −0.401933 | − | 0.401933i | 0.476981 | − | 0.878914i | \(-0.341731\pi\) |
−0.878914 | + | 0.476981i | \(0.841731\pi\) | |||||||
\(524\) | −16.4532 | + | 28.4978i | −0.718761 | + | 1.24493i | ||||
\(525\) | −1.61595 | + | 21.0856i | −0.0705258 | + | 0.920249i | ||||
\(526\) | 1.03237 | + | 1.78811i | 0.0450133 | + | 0.0779653i | ||||
\(527\) | 0.583126 | − | 2.17625i | 0.0254014 | − | 0.0947991i | ||||
\(528\) | −8.64667 | + | 13.7002i | −0.376298 | + | 0.596226i | ||||
\(529\) | 23.3034 | + | 13.4542i | 1.01319 | + | 0.584967i | ||||
\(530\) | 3.00219 | − | 2.21644i | 0.130407 | − | 0.0962759i | ||||
\(531\) | −13.5917 | − | 1.07321i | −0.589831 | − | 0.0465734i | ||||
\(532\) | −14.5320 | + | 14.5320i | −0.630043 | + | 0.630043i | ||||
\(533\) | −3.17908 | − | 11.8645i | −0.137701 | − | 0.513908i | ||||
\(534\) | 0.711572 | − | 0.657601i | 0.0307927 | − | 0.0284572i | ||||
\(535\) | −12.0883 | − | 30.7863i | −0.522621 | − | 1.33101i | ||||
\(536\) | −1.13375 | + | 0.654569i | −0.0489704 | + | 0.0282731i | ||||
\(537\) | −12.7355 | + | 6.69840i | −0.549579 | + | 0.289057i | ||||
\(538\) | 2.95987 | − | 0.793096i | 0.127609 | − | 0.0341928i | ||||
\(539\) | −2.56759 | −0.110594 | ||||||||
\(540\) | 0.133203 | − | 22.8056i | 0.00573215 | − | 0.981395i | ||||
\(541\) | −34.0389 | −1.46345 | −0.731724 | − | 0.681601i | \(-0.761284\pi\) | ||||
−0.731724 | + | 0.681601i | \(0.761284\pi\) | |||||||
\(542\) | 0.181438 | − | 0.0486162i | 0.00779343 | − | 0.00208824i | ||||
\(543\) | −7.25741 | + | 3.81712i | −0.311445 | + | 0.163808i | ||||
\(544\) | 1.11646 | − | 0.644587i | 0.0478677 | − | 0.0276364i | ||||
\(545\) | −0.306779 | + | 0.703444i | −0.0131410 | + | 0.0301322i | ||||
\(546\) | −0.976587 | + | 0.902515i | −0.0417941 | + | 0.0386241i | ||||
\(547\) | 2.44487 | + | 9.12437i | 0.104535 | + | 0.390130i | 0.998292 | − | 0.0584215i | \(-0.0186067\pi\) |
−0.893757 | + | 0.448552i | \(0.851940\pi\) | |||||||
\(548\) | 8.87591 | − | 8.87591i | 0.379160 | − | 0.379160i | ||||
\(549\) | 0.608745 | + | 1.27711i | 0.0259806 | + | 0.0545055i | ||||
\(550\) | −1.11584 | − | 2.10968i | −0.0475794 | − | 0.0899571i | ||||
\(551\) | 23.8043 | + | 13.7434i | 1.01410 | + | 0.585489i | ||||
\(552\) | −4.99005 | + | 7.90650i | −0.212391 | + | 0.336523i | ||||
\(553\) | 4.74472 | − | 17.7075i | 0.201766 | − | 0.753001i | ||||
\(554\) | 2.30343 | + | 3.98967i | 0.0978636 | + | 0.169505i | ||||
\(555\) | 0.615661 | − | 0.712749i | 0.0261333 | − | 0.0302545i | ||||
\(556\) | −10.3060 | + | 17.8506i | −0.437073 | + | 0.757033i | ||||
\(557\) | 1.48579 | + | 1.48579i | 0.0629551 | + | 0.0629551i | 0.737883 | − | 0.674928i | \(-0.235825\pi\) |
−0.674928 | + | 0.737883i | \(0.735825\pi\) | |||||||
\(558\) | −2.24320 | + | 0.415156i | −0.0949623 | + | 0.0175750i | ||||
\(559\) | − | 8.36006i | − | 0.353593i | ||||||
\(560\) | −16.1316 | − | 12.8604i | −0.681683 | − | 0.543451i | ||||
\(561\) | −1.66248 | − | 1.79893i | −0.0701901 | − | 0.0759509i | ||||
\(562\) | −5.14501 | − | 1.37860i | −0.217029 | − | 0.0581527i | ||||
\(563\) | −20.6371 | − | 5.52969i | −0.869750 | − | 0.233049i | −0.203770 | − | 0.979019i | \(-0.565319\pi\) |
−0.665979 | + | 0.745970i | \(0.731986\pi\) | |||||||
\(564\) | −3.04297 | + | 9.79553i | −0.128132 | + | 0.412466i | ||||
\(565\) | −9.39906 | − | 7.49312i | −0.395421 | − | 0.315238i | ||||
\(566\) | − | 3.28436i | − | 0.138052i | ||||||
\(567\) | 17.7864 | − | 12.9086i | 0.746959 | − | 0.542111i | ||||
\(568\) | 1.89416 | + | 1.89416i | 0.0794771 | + | 0.0794771i | ||||
\(569\) | 5.82589 | − | 10.0907i | 0.244234 | − | 0.423026i | −0.717682 | − | 0.696371i | \(-0.754797\pi\) |
0.961916 | + | 0.273345i | \(0.0881301\pi\) | |||||||
\(570\) | 1.05197 | + | 3.02422i | 0.0440620 | + | 0.126671i | ||||
\(571\) | 10.5623 | + | 18.2945i | 0.442020 | + | 0.765601i | 0.997839 | − | 0.0657023i | \(-0.0209288\pi\) |
−0.555819 | + | 0.831303i | \(0.687595\pi\) | |||||||
\(572\) | −2.05069 | + | 7.65328i | −0.0857436 | + | 0.320000i | ||||
\(573\) | −6.69284 | − | 0.263825i | −0.279598 | − | 0.0110214i | ||||
\(574\) | −3.07149 | − | 1.77332i | −0.128201 | − | 0.0740171i | ||||
\(575\) | 16.5150 | + | 31.2244i | 0.688723 | + | 1.30215i | ||||
\(576\) | 17.6040 | + | 12.1056i | 0.733500 | + | 0.504398i | ||||
\(577\) | 30.1119 | − | 30.1119i | 1.25357 | − | 1.25357i | 0.299469 | − | 0.954106i | \(-0.403191\pi\) |
0.954106 | − | 0.299469i | \(-0.0968094\pi\) | |||||||
\(578\) | −0.832076 | − | 3.10535i | −0.0346098 | − | 0.129166i | ||||
\(579\) | 6.56168 | + | 29.0158i | 0.272694 | + | 1.20586i | ||||
\(580\) | −11.2472 | + | 25.7898i | −0.467016 | + | 1.07086i | ||||
\(581\) | 23.3515 | − | 13.4820i | 0.968782 | − | 0.559327i | ||||
\(582\) | −0.414248 | − | 0.261445i | −0.0171711 | − | 0.0108373i | ||||
\(583\) | 20.6969 | − | 5.54571i | 0.857177 | − | 0.229680i | ||||
\(584\) | −7.44353 | −0.308015 | ||||||||
\(585\) | −3.18398 | − | 10.4648i | −0.131641 | − | 0.432666i | ||||
\(586\) | 5.14140 | 0.212389 | ||||||||
\(587\) | −8.53262 | + | 2.28631i | −0.352179 | + | 0.0943661i | −0.430571 | − | 0.902556i | \(-0.641688\pi\) |
0.0783924 | + | 0.996923i | \(0.475021\pi\) | |||||||
\(588\) | −0.138887 | + | 3.52336i | −0.00572761 | + | 0.145301i | ||||
\(589\) | −14.6450 | + | 8.45527i | −0.603435 | + | 0.348393i | ||||
\(590\) | 0.716134 | + | 1.82385i | 0.0294828 | + | 0.0750867i | ||||
\(591\) | −25.8217 | − | 8.02150i | −1.06216 | − | 0.329960i | ||||
\(592\) | 0.237806 | + | 0.887505i | 0.00977377 | + | 0.0364762i | ||||
\(593\) | 24.5829 | − | 24.5829i | 1.00950 | − | 1.00950i | 0.00954475 | − | 0.999954i | \(-0.496962\pi\) |
0.999954 | − | 0.00954475i | \(-0.00303823\pi\) | |||||||
\(594\) | −0.919955 | + | 2.30330i | −0.0377462 | + | 0.0945056i | ||||
\(595\) | 2.50947 | − | 1.85267i | 0.102878 | − | 0.0759523i | ||||
\(596\) | 16.8823 | + | 9.74700i | 0.691526 | + | 0.399253i | ||||
\(597\) | 2.90369 | + | 5.52073i | 0.118840 | + | 0.225948i | ||||
\(598\) | −0.574869 | + | 2.14544i | −0.0235082 | + | 0.0877336i | ||||
\(599\) | −18.8291 | − | 32.6129i | −0.769335 | − | 1.33253i | −0.937924 | − | 0.346840i | \(-0.887255\pi\) |
0.168590 | − | 0.985686i | \(-0.446079\pi\) | |||||||
\(600\) | −5.96669 | + | 2.86101i | −0.243589 | + | 0.116800i | ||||
\(601\) | 11.1158 | − | 19.2532i | 0.453424 | − | 0.785354i | −0.545172 | − | 0.838324i | \(-0.683536\pi\) |
0.998596 | + | 0.0529703i | \(0.0168689\pi\) | |||||||
\(602\) | −1.70690 | − | 1.70690i | −0.0695679 | − | 0.0695679i | ||||
\(603\) | 3.90937 | − | 3.33718i | 0.159202 | − | 0.135900i | ||||
\(604\) | − | 27.3201i | − | 1.11164i | ||||||
\(605\) | 1.22134 | + | 10.8246i | 0.0496544 | + | 0.440082i | ||||
\(606\) | 5.77593 | − | 1.30618i | 0.234631 | − | 0.0530599i | ||||
\(607\) | −20.8988 | − | 5.59982i | −0.848257 | − | 0.227290i | −0.191594 | − | 0.981474i | \(-0.561366\pi\) |
−0.656663 | + | 0.754184i | \(0.728032\pi\) | |||||||
\(608\) | −9.34645 | − | 2.50437i | −0.379049 | − | 0.101566i | ||||
\(609\) | −26.4452 | + | 5.98037i | −1.07161 | + | 0.242337i | ||||
\(610\) | 0.126745 | − | 0.158983i | 0.00513175 | − | 0.00643705i | ||||
\(611\) | 4.91972i | 0.199031i | ||||||||
\(612\) | −2.55850 | + | 2.18403i | −0.103421 | + | 0.0882841i | ||||
\(613\) | 15.7726 | + | 15.7726i | 0.637051 | + | 0.637051i | 0.949827 | − | 0.312776i | \(-0.101259\pi\) |
−0.312776 | + | 0.949827i | \(0.601259\pi\) | |||||||
\(614\) | −1.68455 | + | 2.91773i | −0.0679830 | + | 0.117750i | ||||
\(615\) | 24.1352 | − | 16.3900i | 0.973227 | − | 0.660910i | ||||
\(616\) | 2.30946 | + | 4.00010i | 0.0930507 | + | 0.161169i | ||||
\(617\) | −10.9568 | + | 40.8914i | −0.441104 | + | 1.64622i | 0.284917 | + | 0.958552i | \(0.408034\pi\) |
−0.726021 | + | 0.687672i | \(0.758633\pi\) | |||||||
\(618\) | −1.64776 | − | 3.13286i | −0.0662827 | − | 0.126022i | ||||
\(619\) | 27.5855 | + | 15.9265i | 1.10876 | + | 0.640141i | 0.938507 | − | 0.345260i | \(-0.112209\pi\) |
0.170250 | + | 0.985401i | \(0.445543\pi\) | |||||||
\(620\) | −10.2810 | − | 13.9258i | −0.412896 | − | 0.559272i | ||||
\(621\) | 13.6158 | − | 34.0901i | 0.546385 | − | 1.36799i | ||||
\(622\) | 1.17952 | − | 1.17952i | 0.0472944 | − | 0.0472944i | ||||
\(623\) | 1.83361 | + | 6.84311i | 0.0734619 | + | 0.274163i | ||||
\(624\) | 10.1907 | + | 3.16573i | 0.407955 | + | 0.126731i | ||||
\(625\) | −1.85278 | + | 24.9312i | −0.0741113 | + | 0.997250i | ||||
\(626\) | −3.13060 | + | 1.80745i | −0.125124 | + | 0.0722403i | ||||
\(627\) | −0.724161 | + | 18.3709i | −0.0289202 | + | 0.733663i | ||||
\(628\) | 39.7206 | − | 10.6431i | 1.58502 | − | 0.424706i | ||||
\(629\) | −0.138922 | −0.00553917 | ||||||||
\(630\) | −2.78671 | − | 1.48654i | −0.111025 | − | 0.0592253i | ||||
\(631\) | 15.7931 | 0.628713 | 0.314356 | − | 0.949305i | \(-0.398211\pi\) | ||||
0.314356 | + | 0.949305i | \(0.398211\pi\) | |||||||
\(632\) | 5.54081 | − | 1.48466i | 0.220402 | − | 0.0590564i | ||||
\(633\) | 28.0057 | + | 17.6753i | 1.11313 | + | 0.702532i | ||||
\(634\) | 3.23993 | − | 1.87057i | 0.128674 | − | 0.0742899i | ||||
\(635\) | 10.5728 | − | 4.15140i | 0.419567 | − | 0.164743i | ||||
\(636\) | −6.49053 | − | 28.7012i | −0.257366 | − | 1.13808i | ||||
\(637\) | 0.437722 | + | 1.63360i | 0.0173432 | + | 0.0647256i | ||||
\(638\) | 2.16364 | − | 2.16364i | 0.0856594 | − | 0.0856594i | ||||
\(639\) | −8.66619 | − | 5.95939i | −0.342829 | − | 0.235750i | ||||
\(640\) | 1.95976 | − | 13.0158i | 0.0774663 | − | 0.514497i | ||||
\(641\) | −8.57453 | − | 4.95051i | −0.338673 | − | 0.195533i | 0.321012 | − | 0.947075i | \(-0.395977\pi\) |
−0.659685 | + | 0.751542i | \(0.729310\pi\) | |||||||
\(642\) | 4.93592 | + | 0.194569i | 0.194805 | + | 0.00767902i | ||||
\(643\) | −12.2247 | + | 45.6232i | −0.482095 | + | 1.79920i | 0.110706 | + | 0.993853i | \(0.464689\pi\) |
−0.592801 | + | 0.805349i | \(0.701978\pi\) | |||||||
\(644\) | −16.9303 | − | 29.3241i | −0.667147 | − | 1.15553i | ||||
\(645\) | 18.7544 | − | 6.52367i | 0.738454 | − | 0.256869i | ||||
\(646\) | 0.236147 | − | 0.409018i | 0.00929107 | − | 0.0160926i | ||||
\(647\) | −9.75824 | − | 9.75824i | −0.383636 | − | 0.383636i | 0.488774 | − | 0.872410i | \(-0.337444\pi\) |
−0.872410 | + | 0.488774i | \(0.837444\pi\) | |||||||
\(648\) | 6.28079 | + | 2.80026i | 0.246733 | + | 0.110005i | ||||
\(649\) | 11.2506i | 0.441625i | ||||||||
\(650\) | −1.15203 | + | 1.06960i | −0.0451865 | + | 0.0419530i | ||||
\(651\) | 4.94853 | − | 15.9296i | 0.193948 | − | 0.624331i | ||||
\(652\) | 6.51206 | + | 1.74490i | 0.255032 | + | 0.0683356i | ||||
\(653\) | −2.99335 | − | 0.802065i | −0.117139 | − | 0.0313872i | 0.199773 | − | 0.979842i | \(-0.435979\pi\) |
−0.316912 | + | 0.948455i | \(0.602646\pi\) | |||||||
\(654\) | −0.0777914 | − | 0.0841760i | −0.00304189 | − | 0.00329154i | ||||
\(655\) | −37.2509 | + | 4.20302i | −1.45551 | + | 0.164226i | ||||
\(656\) | 28.4613i | 1.11123i | ||||||||
\(657\) | 28.7373 | − | 5.31850i | 1.12115 | − | 0.207494i | ||||
\(658\) | 1.00447 | + | 1.00447i | 0.0391584 | + | 0.0391584i | ||||
\(659\) | 13.5644 | − | 23.4942i | 0.528393 | − | 0.915204i | −0.471059 | − | 0.882102i | \(-0.656128\pi\) |
0.999452 | − | 0.0331023i | \(-0.0105387\pi\) | |||||||
\(660\) | −18.7691 | + | 1.37176i | −0.730585 | + | 0.0533956i | ||||
\(661\) | −9.54526 | − | 16.5329i | −0.371268 | − | 0.643055i | 0.618493 | − | 0.785790i | \(-0.287743\pi\) |
−0.989761 | + | 0.142736i | \(0.954410\pi\) | |||||||
\(662\) | 1.71638 | − | 6.40560i | 0.0667088 | − | 0.248961i | ||||
\(663\) | −0.861129 | + | 1.36442i | −0.0334435 | + | 0.0529896i | ||||
\(664\) | 7.30683 | + | 4.21860i | 0.283560 | + | 0.163713i | ||||
\(665\) | −23.1514 | − | 3.48584i | −0.897772 | − | 0.135175i | ||||
\(666\) | 0.0605251 | + | 0.126978i | 0.00234530 | + | 0.00492028i | ||||
\(667\) | −32.0231 | + | 32.0231i | −1.23994 | + | 1.23994i | ||||
\(668\) | −4.32979 | − | 16.1590i | −0.167524 | − | 0.625210i | ||||
\(669\) | 5.31412 | − | 4.91105i | 0.205456 | − | 0.189872i | ||||
\(670\) | −0.677107 | − | 0.295294i | −0.0261589 | − | 0.0114082i | ||||
\(671\) | 1.01104 | − | 0.583723i | 0.0390307 | − | 0.0225344i | ||||
\(672\) | 8.44739 | − | 4.44300i | 0.325865 | − | 0.171392i | ||||
\(673\) | −0.134287 | + | 0.0359820i | −0.00517638 | + | 0.00138701i | −0.261406 | − | 0.965229i | \(-0.584186\pi\) |
0.256230 | + | 0.966616i | \(0.417520\pi\) | |||||||
\(674\) | 6.17391 | 0.237810 | ||||||||
\(675\) | 20.9914 | − | 15.3088i | 0.807961 | − | 0.589236i | ||||
\(676\) | −20.2978 | −0.780684 | ||||||||
\(677\) | −7.80401 | + | 2.09108i | −0.299933 | + | 0.0803667i | −0.405647 | − | 0.914030i | \(-0.632954\pi\) |
0.105714 | + | 0.994397i | \(0.466287\pi\) | |||||||
\(678\) | 1.58890 | − | 0.835699i | 0.0610213 | − | 0.0320948i | ||||
\(679\) | 3.10188 | − | 1.79087i | 0.119039 | − | 0.0687272i | ||||
\(680\) | 0.894663 | + | 0.390172i | 0.0343087 | + | 0.0149624i | ||||
\(681\) | 17.4961 | − | 16.1690i | 0.670450 | − | 0.619598i | ||||
\(682\) | 0.487225 | + | 1.81835i | 0.0186568 | + | 0.0696281i | ||||
\(683\) | −35.0271 | + | 35.0271i | −1.34027 | + | 1.34027i | −0.444490 | + | 0.895784i | \(0.646615\pi\) |
−0.895784 | + | 0.444490i | \(0.853385\pi\) | |||||||
\(684\) | 25.1702 | + | 1.98745i | 0.962406 | + | 0.0759921i | ||||
\(685\) | 14.1405 | + | 2.12909i | 0.540279 | + | 0.0813483i | ||||
\(686\) | 3.27715 | + | 1.89206i | 0.125122 | + | 0.0722393i | ||||
\(687\) | −14.1644 | + | 22.4428i | −0.540404 | + | 0.856245i | ||||
\(688\) | −5.01366 | + | 18.7112i | −0.191144 | + | 0.713359i | ||||
\(689\) | −7.05680 | − | 12.2227i | −0.268843 | − | 0.465649i | ||||
\(690\) | −5.26153 | + | 0.384544i | −0.200303 | + | 0.0146394i | ||||
\(691\) | −20.5195 | + | 35.5408i | −0.780597 | + | 1.35203i | 0.150997 | + | 0.988534i | \(0.451752\pi\) |
−0.931594 | + | 0.363500i | \(0.881582\pi\) | |||||||
\(692\) | 24.5313 | + | 24.5313i | 0.932541 | + | 0.932541i | ||||
\(693\) | −11.7743 | − | 13.7931i | −0.447267 | − | 0.523956i | ||||
\(694\) | 3.09646i | 0.117540i | ||||||||
\(695\) | −23.3334 | + | 2.63271i | −0.885087 | + | 0.0998644i | ||||
\(696\) | −5.75804 | − | 6.23062i | −0.218258 | − | 0.236171i | ||||
\(697\) | −4.15663 | − | 1.11377i | −0.157444 | − | 0.0421869i | ||||
\(698\) | −3.26160 | − | 0.873943i | −0.123453 | − | 0.0330792i | ||||
\(699\) | −2.16958 | + | 6.98402i | −0.0820611 | + | 0.264160i | ||||
\(700\) | 0.888649 | − | 23.9485i | 0.0335878 | − | 0.905168i | ||||
\(701\) | − | 37.2173i | − | 1.40568i | −0.711348 | − | 0.702840i | \(-0.751915\pi\) | ||
0.711348 | − | 0.702840i | \(-0.248085\pi\) | |||||||
\(702\) | 1.62228 | + | 0.192645i | 0.0612292 | + | 0.00727091i | ||||
\(703\) | 0.737304 | + | 0.737304i | 0.0278080 | + | 0.0278080i | ||||
\(704\) | 8.81487 | − | 15.2678i | 0.332223 | − | 0.575427i | ||||
\(705\) | −11.0366 | + | 3.83904i | −0.415661 | + | 0.144587i | ||||
\(706\) | 1.84490 | + | 3.19546i | 0.0694337 | + | 0.120263i | ||||
\(707\) | −11.2067 | + | 41.8240i | −0.421471 | + | 1.57295i | ||||
\(708\) | 15.4386 | + | 0.608573i | 0.580218 | + | 0.0228716i | ||||
\(709\) | −13.3449 | − | 7.70466i | −0.501177 | − | 0.289355i | 0.228023 | − | 0.973656i | \(-0.426774\pi\) |
−0.729199 | + | 0.684301i | \(0.760107\pi\) | |||||||
\(710\) | −0.225047 | + | 1.49466i | −0.00844587 | + | 0.0560938i | ||||
\(711\) | −20.3307 | + | 9.69081i | −0.762459 | + | 0.363434i | ||||
\(712\) | −1.56751 | + | 1.56751i | −0.0587448 | + | 0.0587448i | ||||
\(713\) | −7.21120 | − | 26.9125i | −0.270061 | − | 1.00788i | ||||
\(714\) | 0.102758 | + | 0.454396i | 0.00384562 | + | 0.0170053i | ||||
\(715\) | −8.40179 | + | 3.29896i | −0.314209 | + | 0.123374i | ||||
\(716\) | 14.1222 | − | 8.15345i | 0.527771 | − | 0.304709i | ||||
\(717\) | 7.60014 | + | 4.79670i | 0.283833 | + | 0.179136i | ||||
\(718\) | −4.28596 | + | 1.14842i | −0.159951 | + | 0.0428587i | ||||
\(719\) | −11.9324 | −0.445002 | −0.222501 | − | 0.974932i | \(-0.571422\pi\) | ||||
−0.222501 | + | 0.974932i | \(0.571422\pi\) | |||||||
\(720\) | 0.850388 | + | 25.3315i | 0.0316921 | + | 0.944048i | ||||
\(721\) | 25.8823 | 0.963908 | ||||||||
\(722\) | 0.114511 | − | 0.0306831i | 0.00426165 | − | 0.00114191i | ||||
\(723\) | 0.253613 | − | 6.43378i | 0.00943196 | − | 0.239275i | ||||
\(724\) | 8.04760 | − | 4.64628i | 0.299087 | − | 0.172678i | ||||
\(725\) | −31.2466 | + | 7.14203i | −1.16047 | + | 0.265248i | ||||
\(726\) | −1.55369 | − | 0.482653i | −0.0576629 | − | 0.0179129i | ||||
\(727\) | 1.12575 | + | 4.20134i | 0.0417516 | + | 0.155819i | 0.983654 | − | 0.180066i | \(-0.0576312\pi\) |
−0.941903 | + | 0.335885i | \(0.890965\pi\) | |||||||
\(728\) | 2.15130 | − | 2.15130i | 0.0797326 | − | 0.0797326i | ||||
\(729\) | −26.2491 | − | 6.32329i | −0.972189 | − | 0.234196i | ||||
\(730\) | −2.49462 | − | 3.37900i | −0.0923302 | − | 0.125062i | ||||
\(731\) | −2.53649 | − | 1.46444i | −0.0938153 | − | 0.0541643i | ||||
\(732\) | −0.746322 | − | 1.41897i | −0.0275848 | − | 0.0524465i | ||||
\(733\) | 12.7796 | − | 47.6943i | 0.472027 | − | 1.76163i | −0.160446 | − | 0.987045i | \(-0.551293\pi\) |
0.632473 | − | 0.774583i | \(-0.282040\pi\) | |||||||
\(734\) | −2.61370 | − | 4.52707i | −0.0964736 | − | 0.167097i | ||||
\(735\) | −3.32314 | + | 2.25672i | −0.122576 | + | 0.0832402i | ||||
\(736\) | 7.97125 | − | 13.8066i | 0.293824 | − | 0.508918i | ||||
\(737\) | −2.99918 | − | 2.99918i | −0.110476 | − | 0.110476i | ||||
\(738\) | 0.792945 | + | 4.28450i | 0.0291887 | + | 0.157715i | ||||
\(739\) | 16.1890i | 0.595523i | 0.954640 | + | 0.297761i | \(0.0962400\pi\) | ||||
−0.954640 | + | 0.297761i | \(0.903760\pi\) | |||||||
\(740\) | −0.665333 | + | 0.834567i | −0.0244581 | + | 0.0306793i | ||||
\(741\) | 11.8117 | − | 2.67112i | 0.433915 | − | 0.0981262i | ||||
\(742\) | −3.93635 | − | 1.05474i | −0.144508 | − | 0.0387208i | ||||
\(743\) | 19.2021 | + | 5.14520i | 0.704458 | + | 0.188759i | 0.593227 | − | 0.805035i | \(-0.297854\pi\) |
0.111232 | + | 0.993795i | \(0.464520\pi\) | |||||||
\(744\) | 5.09091 | − | 1.15127i | 0.186642 | − | 0.0422075i | ||||
\(745\) | 2.48990 | + | 22.0677i | 0.0912230 | + | 0.808499i | ||||
\(746\) | 5.78426i | 0.211777i | ||||||||
\(747\) | −31.2238 | − | 11.0660i | −1.14242 | − | 0.404883i | ||||
\(748\) | 1.96282 | + | 1.96282i | 0.0717679 | + | 0.0717679i | ||||
\(749\) | −18.0595 | + | 31.2799i | −0.659878 | + | 1.14294i | ||||
\(750\) | −3.29844 | − | 1.74975i | −0.120442 | − | 0.0638918i | ||||
\(751\) | 7.95061 | + | 13.7709i | 0.290122 | + | 0.502506i | 0.973838 | − | 0.227242i | \(-0.0729708\pi\) |
−0.683716 | + | 0.729748i | \(0.739637\pi\) | |||||||
\(752\) | 2.95043 | − | 11.0112i | 0.107591 | − | 0.401536i | ||||
\(753\) | −3.20308 | − | 6.08995i | −0.116727 | − | 0.221930i | ||||
\(754\) | −1.74545 | − | 1.00774i | −0.0635655 | − | 0.0366996i | ||||
\(755\) | 25.0389 | − | 18.4856i | 0.911259 | − | 0.672758i | ||||
\(756\) | −19.5644 | + | 15.4111i | −0.711550 | + | 0.560495i | ||||
\(757\) | 21.3482 | − | 21.3482i | 0.775914 | − | 0.775914i | −0.203219 | − | 0.979133i | \(-0.565140\pi\) |
0.979133 | + | 0.203219i | \(0.0651404\pi\) | |||||||
\(758\) | 1.00278 | + | 3.74243i | 0.0364227 | + | 0.135931i | ||||
\(759\) | −28.9278 | − | 8.98641i | −1.05001 | − | 0.326186i | ||||
\(760\) | −2.67750 | − | 6.81905i | −0.0971232 | − | 0.247353i | ||||
\(761\) | 4.74778 | − | 2.74113i | 0.172107 | − | 0.0993659i | −0.411472 | − | 0.911422i | \(-0.634985\pi\) |
0.583579 | + | 0.812056i | \(0.301652\pi\) | |||||||
\(762\) | −0.0668196 | + | 1.69511i | −0.00242062 | + | 0.0614075i | ||||
\(763\) | 0.809511 | − | 0.216908i |