Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [69,2,Mod(4,69)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(69, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("69.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 69 = 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 69.e (of order \(11\), degree \(10\), 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: | \(0.550967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Coefficient field: | \(\Q(\zeta_{22})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} - x^{9} + x^{8} - x^{7} + x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 64.1 | ||
Root | \(0.959493 + 0.281733i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 69.64 |
Dual form | 69.2.e.a.55.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/69\mathbb{Z}\right)^\times\).
\(n\) | \(28\) | \(47\) |
\(\chi(n)\) | \(e\left(\frac{6}{11}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.41153 | − | 0.708089i | −1.70521 | − | 0.500694i | −0.723378 | − | 0.690452i | \(-0.757411\pi\) |
−0.981831 | + | 0.189758i | \(0.939230\pi\) | |||||||
\(3\) | 0.654861 | − | 0.755750i | 0.378084 | − | 0.436332i | ||||
\(4\) | 3.63158 | + | 2.33387i | 1.81579 | + | 1.16694i | ||||
\(5\) | 0.108660 | − | 0.755750i | 0.0485944 | − | 0.337981i | −0.950992 | − | 0.309216i | \(-0.899933\pi\) |
0.999586 | − | 0.0287654i | \(-0.00915756\pi\) | |||||||
\(6\) | −2.11435 | + | 1.35881i | −0.863181 | + | 0.554733i | ||||
\(7\) | −2.00357 | − | 4.38721i | −0.757279 | − | 1.65821i | −0.752827 | − | 0.658219i | \(-0.771310\pi\) |
−0.00445196 | − | 0.999990i | \(-0.501417\pi\) | |||||||
\(8\) | −3.81329 | − | 4.40077i | −1.34820 | − | 1.55591i | ||||
\(9\) | −0.142315 | − | 0.989821i | −0.0474383 | − | 0.329940i | ||||
\(10\) | −0.797176 | + | 1.74557i | −0.252089 | + | 0.551998i | ||||
\(11\) | 3.23616 | − | 0.950224i | 0.975740 | − | 0.286503i | 0.245275 | − | 0.969453i | \(-0.421122\pi\) |
0.730465 | + | 0.682950i | \(0.239303\pi\) | |||||||
\(12\) | 4.14200 | − | 1.21620i | 1.19569 | − | 0.351087i | ||||
\(13\) | −1.41718 | + | 3.10319i | −0.393055 | + | 0.860669i | 0.604873 | + | 0.796322i | \(0.293224\pi\) |
−0.997928 | + | 0.0643475i | \(0.979503\pi\) | |||||||
\(14\) | 1.72514 | + | 11.9986i | 0.461062 | + | 3.20676i | ||||
\(15\) | −0.500000 | − | 0.577031i | −0.129099 | − | 0.148989i | ||||
\(16\) | 2.49315 | + | 5.45923i | 0.623287 | + | 1.36481i | ||||
\(17\) | 0.774961 | − | 0.498037i | 0.187956 | − | 0.120792i | −0.443279 | − | 0.896384i | \(-0.646185\pi\) |
0.631235 | + | 0.775592i | \(0.282549\pi\) | |||||||
\(18\) | −0.357685 | + | 2.48775i | −0.0843072 | + | 0.586369i | ||||
\(19\) | 2.49611 | + | 1.60416i | 0.572648 | + | 0.368018i | 0.794687 | − | 0.607019i | \(-0.207635\pi\) |
−0.222039 | + | 0.975038i | \(0.571271\pi\) | |||||||
\(20\) | 2.15843 | − | 2.49096i | 0.482640 | − | 0.556996i | ||||
\(21\) | −4.62769 | − | 1.35881i | −1.00984 | − | 0.296517i | ||||
\(22\) | −8.47695 | −1.80729 | ||||||||
\(23\) | 2.73939 | + | 3.93646i | 0.571203 | + | 0.820809i | ||||
\(24\) | −5.82306 | −1.18863 | ||||||||
\(25\) | 4.23811 | + | 1.24442i | 0.847623 | + | 0.248885i | ||||
\(26\) | 5.61490 | − | 6.47994i | 1.10117 | − | 1.27082i | ||||
\(27\) | −0.841254 | − | 0.540641i | −0.161899 | − | 0.104046i | ||||
\(28\) | 2.96306 | − | 20.6086i | 0.559966 | − | 3.89465i | ||||
\(29\) | −6.23737 | + | 4.00851i | −1.15825 | + | 0.744362i | −0.971265 | − | 0.238001i | \(-0.923508\pi\) |
−0.186985 | + | 0.982363i | \(0.559872\pi\) | |||||||
\(30\) | 0.797176 | + | 1.74557i | 0.145544 | + | 0.318696i | ||||
\(31\) | −0.311710 | − | 0.359733i | −0.0559848 | − | 0.0646099i | 0.727066 | − | 0.686567i | \(-0.240883\pi\) |
−0.783051 | + | 0.621957i | \(0.786338\pi\) | |||||||
\(32\) | −0.489262 | − | 3.40289i | −0.0864901 | − | 0.601552i | ||||
\(33\) | 1.40111 | − | 3.06799i | 0.243901 | − | 0.534069i | ||||
\(34\) | −2.22150 | + | 0.652290i | −0.380983 | + | 0.111867i | ||||
\(35\) | −3.53334 | + | 1.03748i | −0.597243 | + | 0.175366i | ||||
\(36\) | 1.79329 | − | 3.92676i | 0.298882 | − | 0.654460i | ||||
\(37\) | 0.247817 | + | 1.72360i | 0.0407408 | + | 0.283358i | 1.00000 | 0.000829807i | \(0.000264136\pi\) | |
−0.959259 | + | 0.282529i | \(0.908827\pi\) | |||||||
\(38\) | −4.88357 | − | 5.63594i | −0.792219 | − | 0.914270i | ||||
\(39\) | 1.41718 | + | 3.10319i | 0.226930 | + | 0.496908i | ||||
\(40\) | −3.74024 | + | 2.40370i | −0.591383 | + | 0.380059i | ||||
\(41\) | 0.527961 | − | 3.67205i | 0.0824537 | − | 0.573478i | −0.906152 | − | 0.422952i | \(-0.860994\pi\) |
0.988606 | − | 0.150526i | \(-0.0480969\pi\) | |||||||
\(42\) | 10.1977 | + | 6.55363i | 1.57353 | + | 1.01125i | ||||
\(43\) | 0.391457 | − | 0.451765i | 0.0596966 | − | 0.0688936i | −0.725116 | − | 0.688627i | \(-0.758214\pi\) |
0.784812 | + | 0.619733i | \(0.212759\pi\) | |||||||
\(44\) | 13.9701 | + | 4.10199i | 2.10607 | + | 0.618398i | ||||
\(45\) | −0.763521 | −0.113819 | ||||||||
\(46\) | −3.81876 | − | 11.4326i | −0.563046 | − | 1.68565i | ||||
\(47\) | 5.02851 | 0.733484 | 0.366742 | − | 0.930323i | \(-0.380473\pi\) | ||||
0.366742 | + | 0.930323i | \(0.380473\pi\) | |||||||
\(48\) | 5.75848 | + | 1.69084i | 0.831164 | + | 0.244052i | ||||
\(49\) | −10.6493 | + | 12.2899i | −1.52133 | + | 1.75570i | ||||
\(50\) | −9.33918 | − | 6.00192i | −1.32076 | − | 0.848800i | ||||
\(51\) | 0.131100 | − | 0.911821i | 0.0183577 | − | 0.127681i | ||||
\(52\) | −12.3890 | + | 7.96195i | −1.71805 | + | 1.10412i | ||||
\(53\) | 0.0367767 | + | 0.0805298i | 0.00505167 | + | 0.0110616i | 0.912141 | − | 0.409877i | \(-0.134428\pi\) |
−0.907089 | + | 0.420938i | \(0.861701\pi\) | |||||||
\(54\) | 1.64589 | + | 1.89945i | 0.223977 | + | 0.258483i | ||||
\(55\) | −0.366488 | − | 2.54898i | −0.0494173 | − | 0.343705i | ||||
\(56\) | −11.6669 | + | 25.5470i | −1.55906 | + | 3.41386i | ||||
\(57\) | 2.84695 | − | 0.835939i | 0.377087 | − | 0.110723i | ||||
\(58\) | 17.8800 | − | 5.25004i | 2.34776 | − | 0.689363i | ||||
\(59\) | 2.72548 | − | 5.96797i | 0.354827 | − | 0.776963i | −0.645090 | − | 0.764106i | \(-0.723180\pi\) |
0.999917 | − | 0.0128566i | \(-0.00409251\pi\) | |||||||
\(60\) | −0.469072 | − | 3.26247i | −0.0605569 | − | 0.421183i | ||||
\(61\) | 3.85803 | + | 4.45240i | 0.493970 | + | 0.570072i | 0.946922 | − | 0.321463i | \(-0.104175\pi\) |
−0.452952 | + | 0.891535i | \(0.649629\pi\) | |||||||
\(62\) | 0.496975 | + | 1.08822i | 0.0631159 | + | 0.138205i | ||||
\(63\) | −4.05742 | + | 2.60754i | −0.511186 | + | 0.328519i | ||||
\(64\) | 0.478549 | − | 3.32838i | 0.0598186 | − | 0.416048i | ||||
\(65\) | 2.19124 | + | 1.40823i | 0.271790 | + | 0.174669i | ||||
\(66\) | −5.55122 | + | 6.40645i | −0.683308 | + | 0.788579i | ||||
\(67\) | 9.60816 | + | 2.82121i | 1.17382 | + | 0.344666i | 0.809790 | − | 0.586720i | \(-0.199581\pi\) |
0.364034 | + | 0.931386i | \(0.381399\pi\) | |||||||
\(68\) | 3.97669 | 0.482244 | ||||||||
\(69\) | 4.76890 | + | 0.507539i | 0.574108 | + | 0.0611006i | ||||
\(70\) | 9.25538 | 1.10623 | ||||||||
\(71\) | −8.75112 | − | 2.56956i | −1.03857 | − | 0.304951i | −0.282377 | − | 0.959303i | \(-0.591123\pi\) |
−0.756190 | + | 0.654353i | \(0.772941\pi\) | |||||||
\(72\) | −3.81329 | + | 4.40077i | −0.449401 | + | 0.518636i | ||||
\(73\) | −10.1506 | − | 6.52340i | −1.18804 | − | 0.763506i | −0.211192 | − | 0.977445i | \(-0.567734\pi\) |
−0.976847 | + | 0.213939i | \(0.931371\pi\) | |||||||
\(74\) | 0.622847 | − | 4.33199i | 0.0724044 | − | 0.503584i | ||||
\(75\) | 3.71585 | − | 2.38803i | 0.429069 | − | 0.275746i | ||||
\(76\) | 5.32094 | + | 11.6512i | 0.610353 | + | 1.33649i | ||||
\(77\) | −10.6527 | − | 12.2939i | −1.21399 | − | 1.40102i | ||||
\(78\) | −1.22023 | − | 8.48692i | −0.138164 | − | 0.960954i | ||||
\(79\) | 4.36916 | − | 9.56713i | 0.491569 | − | 1.07639i | −0.487549 | − | 0.873095i | \(-0.662109\pi\) |
0.979118 | − | 0.203291i | \(-0.0651636\pi\) | |||||||
\(80\) | 4.39672 | − | 1.29099i | 0.491568 | − | 0.144337i | ||||
\(81\) | −0.959493 | + | 0.281733i | −0.106610 | + | 0.0313036i | ||||
\(82\) | −3.87333 | + | 8.48141i | −0.427738 | + | 0.936615i | ||||
\(83\) | −0.420847 | − | 2.92705i | −0.0461939 | − | 0.321286i | −0.999796 | − | 0.0202149i | \(-0.993565\pi\) |
0.953602 | − | 0.301071i | \(-0.0973441\pi\) | |||||||
\(84\) | −13.6345 | − | 15.7351i | −1.48765 | − | 1.71684i | ||||
\(85\) | −0.292184 | − | 0.639793i | −0.0316918 | − | 0.0693953i | ||||
\(86\) | −1.26390 | + | 0.812259i | −0.136290 | + | 0.0875882i | ||||
\(87\) | −1.05518 | + | 7.33891i | −0.113127 | + | 0.786813i | ||||
\(88\) | −16.5222 | − | 10.6181i | −1.76127 | − | 1.13190i | ||||
\(89\) | −6.39396 | + | 7.37902i | −0.677758 | + | 0.782175i | −0.985569 | − | 0.169273i | \(-0.945858\pi\) |
0.307811 | + | 0.951448i | \(0.400404\pi\) | |||||||
\(90\) | 1.84125 | + | 0.540641i | 0.194085 | + | 0.0569885i | ||||
\(91\) | 16.4537 | 1.72482 | ||||||||
\(92\) | 0.761114 | + | 20.6890i | 0.0793516 | + | 2.15697i | ||||
\(93\) | −0.475994 | −0.0493583 | ||||||||
\(94\) | −12.1264 | − | 3.56063i | −1.25074 | − | 0.367251i | ||||
\(95\) | 1.48357 | − | 1.71213i | 0.152211 | − | 0.175661i | ||||
\(96\) | −2.89213 | − | 1.85866i | −0.295177 | − | 0.189699i | ||||
\(97\) | −1.19327 | + | 8.29940i | −0.121159 | + | 0.842676i | 0.835088 | + | 0.550116i | \(0.185416\pi\) |
−0.956247 | + | 0.292560i | \(0.905493\pi\) | |||||||
\(98\) | 34.3834 | − | 22.0969i | 3.47325 | − | 2.23212i | ||||
\(99\) | −1.40111 | − | 3.06799i | −0.140816 | − | 0.308345i | ||||
\(100\) | 12.4867 | + | 14.4104i | 1.24867 | + | 1.44104i | ||||
\(101\) | 0.629480 | + | 4.37813i | 0.0626356 | + | 0.435640i | 0.996875 | + | 0.0789938i | \(0.0251707\pi\) |
−0.934240 | + | 0.356646i | \(0.883920\pi\) | |||||||
\(102\) | −0.961802 | + | 2.10605i | −0.0952326 | + | 0.208530i | ||||
\(103\) | −15.5539 | + | 4.56703i | −1.53257 | + | 0.450002i | −0.935835 | − | 0.352438i | \(-0.885353\pi\) |
−0.596732 | + | 0.802440i | \(0.703535\pi\) | |||||||
\(104\) | 19.0605 | − | 5.59668i | 1.86904 | − | 0.548800i | ||||
\(105\) | −1.52977 | + | 3.34973i | −0.149290 | + | 0.326900i | ||||
\(106\) | −0.0316659 | − | 0.220241i | −0.00307567 | − | 0.0213917i | ||||
\(107\) | 4.15860 | + | 4.79928i | 0.402027 | + | 0.463964i | 0.920278 | − | 0.391265i | \(-0.127962\pi\) |
−0.518251 | + | 0.855228i | \(0.673417\pi\) | |||||||
\(108\) | −1.79329 | − | 3.92676i | −0.172559 | − | 0.377852i | ||||
\(109\) | −2.07028 | + | 1.33049i | −0.198296 | + | 0.127437i | −0.636021 | − | 0.771672i | \(-0.719421\pi\) |
0.437725 | + | 0.899109i | \(0.355784\pi\) | |||||||
\(110\) | −0.921108 | + | 6.40645i | −0.0878242 | + | 0.610831i | ||||
\(111\) | 1.46490 | + | 0.941432i | 0.139042 | + | 0.0893568i | ||||
\(112\) | 18.9556 | − | 21.8759i | 1.79113 | − | 2.06708i | ||||
\(113\) | 8.87992 | + | 2.60738i | 0.835352 | + | 0.245282i | 0.671315 | − | 0.741172i | \(-0.265730\pi\) |
0.164038 | + | 0.986454i | \(0.447548\pi\) | |||||||
\(114\) | −7.45741 | −0.698451 | ||||||||
\(115\) | 3.27264 | − | 1.64256i | 0.305175 | − | 0.153169i | ||||
\(116\) | −32.0068 | −2.97176 | ||||||||
\(117\) | 3.27329 | + | 0.961124i | 0.302616 | + | 0.0888559i | ||||
\(118\) | −10.7984 | + | 12.4620i | −0.994075 | + | 1.14722i | ||||
\(119\) | −3.73768 | − | 2.40206i | −0.342633 | − | 0.220197i | ||||
\(120\) | −0.632736 | + | 4.40077i | −0.0577606 | + | 0.401734i | ||||
\(121\) | 0.316044 | − | 0.203109i | 0.0287313 | − | 0.0184645i | ||||
\(122\) | −6.15105 | − | 13.4689i | −0.556890 | − | 1.21942i | ||||
\(123\) | −2.42941 | − | 2.80369i | −0.219052 | − | 0.252800i | ||||
\(124\) | −0.292429 | − | 2.03389i | −0.0262609 | − | 0.182649i | ||||
\(125\) | 2.98688 | − | 6.54035i | 0.267154 | − | 0.584987i | ||||
\(126\) | 11.6309 | − | 3.41515i | 1.03617 | − | 0.304246i | ||||
\(127\) | 1.28204 | − | 0.376440i | 0.113762 | − | 0.0334037i | −0.224356 | − | 0.974507i | \(-0.572028\pi\) |
0.338118 | + | 0.941104i | \(0.390210\pi\) | |||||||
\(128\) | −6.36712 | + | 13.9420i | −0.562779 | + | 1.23231i | ||||
\(129\) | −0.0850717 | − | 0.591687i | −0.00749015 | − | 0.0520951i | ||||
\(130\) | −4.28709 | − | 4.94757i | −0.376003 | − | 0.433931i | ||||
\(131\) | −1.42534 | − | 3.12106i | −0.124533 | − | 0.272688i | 0.837089 | − | 0.547066i | \(-0.184255\pi\) |
−0.961622 | + | 0.274378i | \(0.911528\pi\) | |||||||
\(132\) | 12.2485 | − | 7.87165i | 1.06610 | − | 0.685139i | ||||
\(133\) | 2.03662 | − | 14.1650i | 0.176597 | − | 1.22826i | ||||
\(134\) | −21.1727 | − | 13.6069i | −1.82904 | − | 1.17545i | ||||
\(135\) | −0.500000 | + | 0.577031i | −0.0430331 | + | 0.0496629i | ||||
\(136\) | −5.14690 | − | 1.51127i | −0.441343 | − | 0.129590i | ||||
\(137\) | −4.07129 | −0.347833 | −0.173917 | − | 0.984760i | \(-0.555642\pi\) | ||||
−0.173917 | + | 0.984760i | \(0.555642\pi\) | |||||||
\(138\) | −11.1410 | − | 4.60075i | −0.948381 | − | 0.391642i | ||||
\(139\) | 6.01342 | 0.510052 | 0.255026 | − | 0.966934i | \(-0.417916\pi\) | ||||
0.255026 | + | 0.966934i | \(0.417916\pi\) | |||||||
\(140\) | −15.2529 | − | 4.47867i | −1.28911 | − | 0.378517i | ||||
\(141\) | 3.29298 | − | 3.80030i | 0.277319 | − | 0.320043i | ||||
\(142\) | 19.2841 | + | 12.3931i | 1.61829 | + | 1.04001i | ||||
\(143\) | −1.63750 | + | 11.3891i | −0.136935 | + | 0.952401i | ||||
\(144\) | 5.04885 | − | 3.24470i | 0.420738 | − | 0.270392i | ||||
\(145\) | 2.35168 | + | 5.14945i | 0.195296 | + | 0.427639i | ||||
\(146\) | 19.8593 | + | 22.9189i | 1.64357 | + | 1.89678i | ||||
\(147\) | 2.31431 | + | 16.0964i | 0.190881 | + | 1.32761i | ||||
\(148\) | −3.12270 | + | 6.83777i | −0.256685 | + | 0.562061i | ||||
\(149\) | 14.5747 | − | 4.27953i | 1.19401 | − | 0.350593i | 0.376450 | − | 0.926437i | \(-0.377145\pi\) |
0.817560 | + | 0.575844i | \(0.195326\pi\) | |||||||
\(150\) | −10.6518 | + | 3.12765i | −0.869717 | + | 0.255372i | ||||
\(151\) | −0.248740 | + | 0.544665i | −0.0202422 | + | 0.0443242i | −0.919483 | − | 0.393130i | \(-0.871392\pi\) |
0.899241 | + | 0.437454i | \(0.144120\pi\) | |||||||
\(152\) | −2.45889 | − | 17.1019i | −0.199442 | − | 1.38715i | ||||
\(153\) | −0.603256 | − | 0.696195i | −0.0487704 | − | 0.0562840i | ||||
\(154\) | 16.9842 | + | 37.1901i | 1.36862 | + | 2.99687i | ||||
\(155\) | −0.305738 | + | 0.196486i | −0.0245575 | + | 0.0157821i | ||||
\(156\) | −2.09585 | + | 14.5770i | −0.167803 | + | 1.16709i | ||||
\(157\) | −2.89905 | − | 1.86310i | −0.231369 | − | 0.148692i | 0.419820 | − | 0.907607i | \(-0.362093\pi\) |
−0.651189 | + | 0.758915i | \(0.725730\pi\) | |||||||
\(158\) | −17.3107 | + | 19.9777i | −1.37717 | + | 1.58934i | ||||
\(159\) | 0.0849440 | + | 0.0249418i | 0.00673650 | + | 0.00197801i | ||||
\(160\) | −2.62490 | −0.207516 | ||||||||
\(161\) | 11.7815 | − | 19.9053i | 0.928513 | − | 1.56875i | ||||
\(162\) | 2.51334 | 0.197466 | ||||||||
\(163\) | −13.7358 | − | 4.03318i | −1.07587 | − | 0.315903i | −0.304643 | − | 0.952467i | \(-0.598537\pi\) |
−0.771224 | + | 0.636564i | \(0.780355\pi\) | |||||||
\(164\) | 10.4874 | − | 12.1031i | 0.818931 | − | 0.945096i | ||||
\(165\) | −2.16639 | − | 1.39225i | −0.168653 | − | 0.108387i | ||||
\(166\) | −1.05773 | + | 7.35667i | −0.0820958 | + | 0.570989i | ||||
\(167\) | −19.1885 | + | 12.3317i | −1.48485 | + | 0.954257i | −0.488180 | + | 0.872743i | \(0.662339\pi\) |
−0.996672 | + | 0.0815140i | \(0.974024\pi\) | |||||||
\(168\) | 11.6669 | + | 25.5470i | 0.900122 | + | 1.97099i | ||||
\(169\) | 0.891810 | + | 1.02920i | 0.0686008 | + | 0.0791695i | ||||
\(170\) | 0.251579 | + | 1.74977i | 0.0192953 | + | 0.134201i | ||||
\(171\) | 1.23259 | − | 2.69900i | 0.0942588 | − | 0.206398i | ||||
\(172\) | 2.47597 | − | 0.727010i | 0.188791 | − | 0.0554340i | ||||
\(173\) | 1.59528 | − | 0.468417i | 0.121287 | − | 0.0356131i | −0.220526 | − | 0.975381i | \(-0.570777\pi\) |
0.341813 | + | 0.939768i | \(0.388959\pi\) | |||||||
\(174\) | 7.74118 | − | 16.9508i | 0.586858 | − | 1.28504i | ||||
\(175\) | −3.03182 | − | 21.0868i | −0.229184 | − | 1.59401i | ||||
\(176\) | 13.2557 | + | 15.2979i | 0.999188 | + | 1.15312i | ||||
\(177\) | −2.72548 | − | 5.96797i | −0.204860 | − | 0.448580i | ||||
\(178\) | 20.6442 | − | 13.2672i | 1.54735 | − | 0.994421i | ||||
\(179\) | −3.46892 | + | 24.1268i | −0.259279 | + | 1.80333i | 0.278712 | + | 0.960375i | \(0.410092\pi\) |
−0.537991 | + | 0.842950i | \(0.680817\pi\) | |||||||
\(180\) | −2.77279 | − | 1.78196i | −0.206671 | − | 0.132820i | ||||
\(181\) | 6.93811 | − | 8.00700i | 0.515705 | − | 0.595156i | −0.436845 | − | 0.899537i | \(-0.643904\pi\) |
0.952550 | + | 0.304381i | \(0.0984496\pi\) | |||||||
\(182\) | −39.6787 | − | 11.6507i | −2.94118 | − | 0.863609i | ||||
\(183\) | 5.89137 | 0.435503 | ||||||||
\(184\) | 6.87737 | − | 27.0663i | 0.507007 | − | 1.99536i | ||||
\(185\) | 1.32954 | 0.0977497 | ||||||||
\(186\) | 1.14787 | + | 0.337046i | 0.0841662 | + | 0.0247134i | ||||
\(187\) | 2.03465 | − | 2.34812i | 0.148789 | − | 0.171711i | ||||
\(188\) | 18.2614 | + | 11.7359i | 1.33185 | + | 0.855929i | ||||
\(189\) | −0.686393 | + | 4.77397i | −0.0499277 | + | 0.347255i | ||||
\(190\) | −4.79001 | + | 3.07835i | −0.347504 | + | 0.223327i | ||||
\(191\) | −7.13655 | − | 15.6269i | −0.516383 | − | 1.13072i | −0.970791 | − | 0.239927i | \(-0.922877\pi\) |
0.454408 | − | 0.890794i | \(-0.349851\pi\) | |||||||
\(192\) | −2.20204 | − | 2.54129i | −0.158919 | − | 0.183402i | ||||
\(193\) | 2.01276 | + | 13.9991i | 0.144882 | + | 1.00767i | 0.924435 | + | 0.381339i | \(0.124537\pi\) |
−0.779554 | + | 0.626335i | \(0.784554\pi\) | |||||||
\(194\) | 8.75432 | − | 19.1693i | 0.628524 | − | 1.37628i | ||||
\(195\) | 2.49922 | − | 0.733838i | 0.178973 | − | 0.0525513i | ||||
\(196\) | −67.3568 | + | 19.7777i | −4.81120 | + | 1.41270i | ||||
\(197\) | −1.27802 | + | 2.79847i | −0.0910550 | + | 0.199383i | −0.949680 | − | 0.313221i | \(-0.898592\pi\) |
0.858625 | + | 0.512604i | \(0.171319\pi\) | |||||||
\(198\) | 1.20640 | + | 8.39066i | 0.0857348 | + | 0.596299i | ||||
\(199\) | −10.3265 | − | 11.9174i | −0.732028 | − | 0.844805i | 0.260671 | − | 0.965428i | \(-0.416056\pi\) |
−0.992698 | + | 0.120623i | \(0.961511\pi\) | |||||||
\(200\) | −10.6847 | − | 23.3963i | −0.755526 | − | 1.65437i | ||||
\(201\) | 8.42414 | − | 5.41387i | 0.594193 | − | 0.381865i | ||||
\(202\) | 1.58209 | − | 11.0037i | 0.111316 | − | 0.774218i | ||||
\(203\) | 30.0832 | + | 19.3333i | 2.11143 | + | 1.35693i | ||||
\(204\) | 2.60418 | − | 3.00538i | 0.182329 | − | 0.210419i | ||||
\(205\) | −2.71778 | − | 0.798013i | −0.189818 | − | 0.0557356i | ||||
\(206\) | 40.7425 | 2.83866 | ||||||||
\(207\) | 3.50654 | − | 3.27173i | 0.243721 | − | 0.227401i | ||||
\(208\) | −20.4743 | −1.41963 | ||||||||
\(209\) | 9.60214 | + | 2.81944i | 0.664194 | + | 0.195025i | ||||
\(210\) | 6.06099 | − | 6.99475i | 0.418248 | − | 0.482684i | ||||
\(211\) | −13.3259 | − | 8.56406i | −0.917395 | − | 0.589574i | −0.00549464 | − | 0.999985i | \(-0.501749\pi\) |
−0.911901 | + | 0.410411i | \(0.865385\pi\) | |||||||
\(212\) | −0.0543888 | + | 0.378282i | −0.00373544 | + | 0.0259805i | ||||
\(213\) | −7.67271 | + | 4.93095i | −0.525725 | + | 0.337863i | ||||
\(214\) | −6.63027 | − | 14.5183i | −0.453236 | − | 0.992448i | ||||
\(215\) | −0.298886 | − | 0.344932i | −0.0203838 | − | 0.0235242i | ||||
\(216\) | 0.828708 | + | 5.76379i | 0.0563864 | + | 0.392176i | ||||
\(217\) | −0.953688 | + | 2.08829i | −0.0647406 | + | 0.141762i | ||||
\(218\) | 5.93463 | − | 1.74257i | 0.401944 | − | 0.118021i | ||||
\(219\) | −11.5773 | + | 3.39940i | −0.782321 | + | 0.229710i | ||||
\(220\) | 4.61807 | − | 10.1122i | 0.311350 | − | 0.681762i | ||||
\(221\) | 0.447245 | + | 3.11066i | 0.0300850 | + | 0.209245i | ||||
\(222\) | −2.86602 | − | 3.30757i | −0.192355 | − | 0.221989i | ||||
\(223\) | −6.99135 | − | 15.3089i | −0.468176 | − | 1.02516i | −0.985547 | − | 0.169401i | \(-0.945817\pi\) |
0.517372 | − | 0.855761i | \(-0.326911\pi\) | |||||||
\(224\) | −13.9489 | + | 8.96442i | −0.932001 | + | 0.598961i | ||||
\(225\) | 0.628610 | − | 4.37208i | 0.0419073 | − | 0.291472i | ||||
\(226\) | −19.5679 | − | 12.5755i | −1.30164 | − | 0.836513i | ||||
\(227\) | 14.1033 | − | 16.2761i | 0.936068 | − | 1.08028i | −0.0605553 | − | 0.998165i | \(-0.519287\pi\) |
0.996623 | − | 0.0821148i | \(-0.0261674\pi\) | |||||||
\(228\) | 12.2899 | + | 3.60863i | 0.813917 | + | 0.238988i | ||||
\(229\) | −0.566524 | −0.0374370 | −0.0187185 | − | 0.999825i | \(-0.505959\pi\) | ||||
−0.0187185 | + | 0.999825i | \(0.505959\pi\) | |||||||
\(230\) | −9.05515 | + | 1.64375i | −0.597079 | + | 0.108386i | ||||
\(231\) | −16.2671 | −1.07030 | ||||||||
\(232\) | 41.4255 | + | 12.1636i | 2.71972 | + | 0.798580i | ||||
\(233\) | −5.27431 | + | 6.08688i | −0.345532 | + | 0.398765i | −0.901740 | − | 0.432278i | \(-0.857710\pi\) |
0.556209 | + | 0.831042i | \(0.312255\pi\) | |||||||
\(234\) | −7.21307 | − | 4.63556i | −0.471533 | − | 0.303036i | ||||
\(235\) | 0.546400 | − | 3.80030i | 0.0356432 | − | 0.247904i | ||||
\(236\) | 23.8263 | − | 15.3122i | 1.55096 | − | 0.996740i | ||||
\(237\) | −4.36916 | − | 9.56713i | −0.283808 | − | 0.621452i | ||||
\(238\) | 7.31266 | + | 8.43926i | 0.474009 | + | 0.547036i | ||||
\(239\) | 0.983171 | + | 6.83811i | 0.0635961 | + | 0.442320i | 0.996596 | + | 0.0824432i | \(0.0262723\pi\) |
−0.933000 | + | 0.359877i | \(0.882819\pi\) | |||||||
\(240\) | 1.90357 | − | 4.16824i | 0.122875 | − | 0.269059i | ||||
\(241\) | 0.317423 | − | 0.0932039i | 0.0204470 | − | 0.00600379i | −0.271493 | − | 0.962440i | \(-0.587517\pi\) |
0.291940 | + | 0.956437i | \(0.405699\pi\) | |||||||
\(242\) | −0.905970 | + | 0.266017i | −0.0582379 | + | 0.0171002i | ||||
\(243\) | −0.415415 | + | 0.909632i | −0.0266489 | + | 0.0583529i | ||||
\(244\) | 3.61939 | + | 25.1734i | 0.231707 | + | 1.61156i | ||||
\(245\) | 8.13095 | + | 9.38361i | 0.519467 | + | 0.599497i | ||||
\(246\) | 3.87333 | + | 8.48141i | 0.246955 | + | 0.540755i | ||||
\(247\) | −8.51543 | + | 5.47254i | −0.541824 | + | 0.348209i | ||||
\(248\) | −0.394460 | + | 2.74353i | −0.0250482 | + | 0.174214i | ||||
\(249\) | −2.48772 | − | 1.59876i | −0.157653 | − | 0.101317i | ||||
\(250\) | −11.8341 | + | 13.6573i | −0.748454 | + | 0.863762i | ||||
\(251\) | −26.2161 | − | 7.69773i | −1.65474 | − | 0.485877i | −0.684704 | − | 0.728822i | \(-0.740068\pi\) |
−0.970040 | + | 0.242945i | \(0.921886\pi\) | |||||||
\(252\) | −20.8205 | −1.31157 | ||||||||
\(253\) | 12.6056 | + | 10.1360i | 0.792510 | + | 0.637245i | ||||
\(254\) | −3.35822 | −0.210714 | ||||||||
\(255\) | −0.674863 | − | 0.198158i | −0.0422616 | − | 0.0124091i | ||||
\(256\) | 20.8226 | − | 24.0306i | 1.30141 | − | 1.50191i | ||||
\(257\) | 3.13015 | + | 2.01162i | 0.195253 | + | 0.125482i | 0.634615 | − | 0.772829i | \(-0.281159\pi\) |
−0.439361 | + | 0.898310i | \(0.644795\pi\) | |||||||
\(258\) | −0.213814 | + | 1.48711i | −0.0133115 | + | 0.0925833i | ||||
\(259\) | 7.06528 | − | 4.54058i | 0.439015 | − | 0.282138i | ||||
\(260\) | 4.67104 | + | 10.2282i | 0.289686 | + | 0.634323i | ||||
\(261\) | 4.85538 | + | 5.60341i | 0.300541 | + | 0.346842i | ||||
\(262\) | 1.22726 | + | 8.53580i | 0.0758205 | + | 0.527343i | ||||
\(263\) | −7.67457 | + | 16.8050i | −0.473234 | + | 1.03624i | 0.511034 | + | 0.859560i | \(0.329262\pi\) |
−0.984269 | + | 0.176678i | \(0.943465\pi\) | |||||||
\(264\) | −18.8444 | + | 5.53321i | −1.15979 | + | 0.340545i | ||||
\(265\) | 0.0648566 | − | 0.0190436i | 0.00398411 | − | 0.00116984i | ||||
\(266\) | −14.9415 | + | 32.7172i | −0.916120 | + | 2.00602i | ||||
\(267\) | 1.38954 | + | 9.66446i | 0.0850385 | + | 0.591455i | ||||
\(268\) | 28.3084 | + | 32.6697i | 1.72921 | + | 1.99562i | ||||
\(269\) | 3.10328 | + | 6.79523i | 0.189210 | + | 0.414313i | 0.980335 | − | 0.197343i | \(-0.0632312\pi\) |
−0.791124 | + | 0.611655i | \(0.790504\pi\) | |||||||
\(270\) | 1.61435 | − | 1.03748i | 0.0982464 | − | 0.0631392i | ||||
\(271\) | −3.62528 | + | 25.2144i | −0.220220 | + | 1.53166i | 0.516985 | + | 0.855995i | \(0.327054\pi\) |
−0.737205 | + | 0.675669i | \(0.763855\pi\) | |||||||
\(272\) | 4.65099 | + | 2.98901i | 0.282008 | + | 0.181235i | ||||
\(273\) | 10.7749 | − | 12.4349i | 0.652127 | − | 0.752595i | ||||
\(274\) | 9.81803 | + | 2.88283i | 0.593129 | + | 0.174158i | ||||
\(275\) | 14.8977 | 0.898366 | ||||||||
\(276\) | 16.1341 | + | 12.9732i | 0.971158 | + | 0.780893i | ||||
\(277\) | 31.4086 | 1.88716 | 0.943579 | − | 0.331146i | \(-0.107435\pi\) | ||||
0.943579 | + | 0.331146i | \(0.107435\pi\) | |||||||
\(278\) | −14.5015 | − | 4.25804i | −0.869744 | − | 0.255380i | ||||
\(279\) | −0.311710 | + | 0.359733i | −0.0186616 | + | 0.0215366i | ||||
\(280\) | 18.0394 | + | 11.5932i | 1.07806 | + | 0.692827i | ||||
\(281\) | 0.760027 | − | 5.28610i | 0.0453394 | − | 0.315342i | −0.954513 | − | 0.298169i | \(-0.903624\pi\) |
0.999853 | − | 0.0171736i | \(-0.00546678\pi\) | |||||||
\(282\) | −10.6321 | + | 6.83281i | −0.633130 | + | 0.406888i | ||||
\(283\) | 7.16662 | + | 15.6927i | 0.426011 | + | 0.932835i | 0.993957 | + | 0.109769i | \(0.0350111\pi\) |
−0.567946 | + | 0.823066i | \(0.692262\pi\) | |||||||
\(284\) | −25.7833 | − | 29.7556i | −1.52996 | − | 1.76567i | ||||
\(285\) | −0.322410 | − | 2.24241i | −0.0190979 | − | 0.132829i | ||||
\(286\) | 12.0133 | − | 26.3056i | 0.710364 | − | 1.55548i | ||||
\(287\) | −17.1679 | + | 5.04094i | −1.01339 | + | 0.297557i | ||||
\(288\) | −3.29862 | + | 0.968563i | −0.194373 | + | 0.0570731i | ||||
\(289\) | −6.70953 | + | 14.6918i | −0.394678 | + | 0.864225i | ||||
\(290\) | −2.02487 | − | 14.0833i | −0.118904 | − | 0.826997i | ||||
\(291\) | 5.49084 | + | 6.33676i | 0.321879 | + | 0.371468i | ||||
\(292\) | −21.6379 | − | 47.3804i | −1.26626 | − | 2.77273i | ||||
\(293\) | −27.6891 | + | 17.7947i | −1.61762 | + | 1.03958i | −0.660109 | + | 0.751170i | \(0.729490\pi\) |
−0.957507 | + | 0.288409i | \(0.906874\pi\) | |||||||
\(294\) | 5.81664 | − | 40.4556i | 0.339233 | − | 2.35942i | ||||
\(295\) | −4.21414 | − | 2.70826i | −0.245357 | − | 0.157681i | ||||
\(296\) | 6.64019 | − | 7.66318i | 0.385953 | − | 0.445414i | ||||
\(297\) | −3.23616 | − | 0.950224i | −0.187781 | − | 0.0551376i | ||||
\(298\) | −38.1777 | −2.21158 | ||||||||
\(299\) | −16.0978 | + | 2.92218i | −0.930959 | + | 0.168994i | ||||
\(300\) | 19.0677 | 1.10088 | ||||||||
\(301\) | −2.76630 | − | 0.812259i | −0.159447 | − | 0.0468178i | ||||
\(302\) | 0.985515 | − | 1.13735i | 0.0567100 | − | 0.0654469i | ||||
\(303\) | 3.72099 | + | 2.39133i | 0.213765 | + | 0.137379i | ||||
\(304\) | −2.53427 | + | 17.6263i | −0.145351 | + | 1.01094i | ||||
\(305\) | 3.78412 | − | 2.43190i | 0.216678 | − | 0.139250i | ||||
\(306\) | 0.961802 | + | 2.10605i | 0.0549826 | + | 0.120395i | ||||
\(307\) | −11.3883 | − | 13.1428i | −0.649964 | − | 0.750098i | 0.331140 | − | 0.943582i | \(-0.392567\pi\) |
−0.981104 | + | 0.193484i | \(0.938021\pi\) | |||||||
\(308\) | −9.99378 | − | 69.5083i | −0.569448 | − | 3.96060i | ||||
\(309\) | −6.73409 | + | 14.7456i | −0.383089 | + | 0.838847i | ||||
\(310\) | 0.876426 | − | 0.257342i | 0.0497777 | − | 0.0146160i | ||||
\(311\) | 10.7262 | − | 3.14949i | 0.608226 | − | 0.178591i | 0.0369063 | − | 0.999319i | \(-0.488250\pi\) |
0.571320 | + | 0.820727i | \(0.306432\pi\) | |||||||
\(312\) | 8.25231 | − | 18.0700i | 0.467195 | − | 1.02301i | ||||
\(313\) | −4.08868 | − | 28.4374i | −0.231106 | − | 1.60737i | −0.693336 | − | 0.720615i | \(-0.743860\pi\) |
0.462230 | − | 0.886760i | \(-0.347049\pi\) | |||||||
\(314\) | 5.67189 | + | 6.54571i | 0.320084 | + | 0.369396i | ||||
\(315\) | 1.52977 | + | 3.34973i | 0.0861927 | + | 0.188736i | ||||
\(316\) | 38.1954 | − | 24.5467i | 2.14866 | − | 1.38086i | ||||
\(317\) | 2.68359 | − | 18.6648i | 0.150726 | − | 1.04832i | −0.764282 | − | 0.644882i | \(-0.776906\pi\) |
0.915007 | − | 0.403437i | \(-0.132185\pi\) | |||||||
\(318\) | −0.187184 | − | 0.120296i | −0.0104968 | − | 0.00674586i | ||||
\(319\) | −16.3762 | + | 18.8991i | −0.916889 | + | 1.05815i | ||||
\(320\) | −2.46342 | − | 0.723326i | −0.137710 | − | 0.0404352i | ||||
\(321\) | 6.35036 | 0.354442 | ||||||||
\(322\) | −42.5062 | + | 39.6598i | −2.36878 | + | 2.21015i | ||||
\(323\) | 2.73332 | 0.152086 | ||||||||
\(324\) | −4.14200 | − | 1.21620i | −0.230111 | − | 0.0675667i | ||||
\(325\) | −9.86784 | + | 11.3881i | −0.547369 | + | 0.631698i | ||||
\(326\) | 30.2683 | + | 19.4523i | 1.67641 | + | 1.07736i | ||||
\(327\) | −0.350228 | + | 2.43589i | −0.0193677 | + | 0.134705i | ||||
\(328\) | −18.1731 | + | 11.6792i | −1.00344 | + | 0.644874i | ||||
\(329\) | −10.0750 | − | 22.0611i | −0.555452 | − | 1.21627i | ||||
\(330\) | 4.23847 | + | 4.89146i | 0.233320 | + | 0.269266i | ||||
\(331\) | 1.22889 | + | 8.54715i | 0.0675462 | + | 0.469794i | 0.995319 | + | 0.0966475i | \(0.0308120\pi\) |
−0.927773 | + | 0.373146i | \(0.878279\pi\) | |||||||
\(332\) | 5.30303 | − | 11.6120i | 0.291042 | − | 0.637293i | ||||
\(333\) | 1.67079 | − | 0.490588i | 0.0915588 | − | 0.0268841i | ||||
\(334\) | 55.0056 | − | 16.1511i | 3.00977 | − | 0.883750i | ||||
\(335\) | 3.17616 | − | 6.95481i | 0.173532 | − | 0.379982i | ||||
\(336\) | −4.11944 | − | 28.6514i | −0.224734 | − | 1.56306i | ||||
\(337\) | 7.49057 | + | 8.64458i | 0.408037 | + | 0.470900i | 0.922156 | − | 0.386819i | \(-0.126426\pi\) |
−0.514118 | + | 0.857719i | \(0.671881\pi\) | |||||||
\(338\) | −1.42186 | − | 3.11343i | −0.0773389 | − | 0.169349i | ||||
\(339\) | 7.78564 | − | 5.00352i | 0.422858 | − | 0.271754i | ||||
\(340\) | 0.432108 | − | 3.00538i | 0.0234344 | − | 0.162990i | ||||
\(341\) | −1.35057 | − | 0.867959i | −0.0731375 | − | 0.0470026i | ||||
\(342\) | −4.88357 | + | 5.63594i | −0.264073 | + | 0.304757i | ||||
\(343\) | 42.8612 | + | 12.5852i | 2.31429 | + | 0.679536i | ||||
\(344\) | −3.48086 | −0.187675 | ||||||||
\(345\) | 0.901763 | − | 3.54894i | 0.0485493 | − | 0.191069i | ||||
\(346\) | −4.17875 | −0.224651 | ||||||||
\(347\) | 26.7991 | + | 7.86893i | 1.43865 | + | 0.422426i | 0.905772 | − | 0.423764i | \(-0.139292\pi\) |
0.532880 | + | 0.846191i | \(0.321110\pi\) | |||||||
\(348\) | −20.9600 | + | 24.1892i | −1.12357 | + | 1.29667i | ||||
\(349\) | −15.0280 | − | 9.65788i | −0.804428 | − | 0.516975i | 0.0726298 | − | 0.997359i | \(-0.476861\pi\) |
−0.877058 | + | 0.480384i | \(0.840497\pi\) | |||||||
\(350\) | −7.61999 | + | 52.9982i | −0.407306 | + | 2.83287i | ||||
\(351\) | 2.86992 | − | 1.84438i | 0.153185 | − | 0.0984459i | ||||
\(352\) | −4.81684 | − | 10.5474i | −0.256738 | − | 0.562178i | ||||
\(353\) | −5.38350 | − | 6.21289i | −0.286535 | − | 0.330679i | 0.594174 | − | 0.804336i | \(-0.297479\pi\) |
−0.880709 | + | 0.473658i | \(0.842933\pi\) | |||||||
\(354\) | 2.34672 | + | 16.3218i | 0.124727 | + | 0.867494i | ||||
\(355\) | −2.89284 | + | 6.33445i | −0.153536 | + | 0.336198i | ||||
\(356\) | −40.4418 | + | 11.8748i | −2.14341 | + | 0.629363i | ||||
\(357\) | −4.26302 | + | 1.25174i | −0.225623 | + | 0.0662489i | ||||
\(358\) | 25.4493 | − | 55.7263i | 1.34504 | − | 2.94523i | ||||
\(359\) | 0.690627 | + | 4.80342i | 0.0364499 | + | 0.253515i | 0.999897 | − | 0.0143857i | \(-0.00457928\pi\) |
−0.963447 | + | 0.267900i | \(0.913670\pi\) | |||||||
\(360\) | 2.91153 | + | 3.36008i | 0.153451 | + | 0.177092i | ||||
\(361\) | −4.23561 | − | 9.27470i | −0.222927 | − | 0.488142i | ||||
\(362\) | −22.4011 | + | 14.3963i | −1.17738 | + | 0.756654i | ||||
\(363\) | 0.0534652 | − | 0.371859i | 0.00280620 | − | 0.0195175i | ||||
\(364\) | 59.7530 | + | 38.4010i | 3.13191 | + | 2.01276i | ||||
\(365\) | −6.03302 | + | 6.96248i | −0.315783 | + | 0.364433i | ||||
\(366\) | −14.2072 | − | 4.17161i | −0.742623 | − | 0.218054i | ||||
\(367\) | −10.9802 | −0.573162 | −0.286581 | − | 0.958056i | \(-0.592519\pi\) | ||||
−0.286581 | + | 0.958056i | \(0.592519\pi\) | |||||||
\(368\) | −14.6603 | + | 24.7692i | −0.764223 | + | 1.29118i | ||||
\(369\) | −3.70981 | −0.193125 | ||||||||
\(370\) | −3.20622 | − | 0.941432i | −0.166684 | − | 0.0489427i | ||||
\(371\) | 0.279616 | − | 0.322694i | 0.0145170 | − | 0.0167535i | ||||
\(372\) | −1.72861 | − | 1.11091i | −0.0896242 | − | 0.0575980i | ||||
\(373\) | 2.17383 | − | 15.1193i | 0.112557 | − | 0.782850i | −0.852860 | − | 0.522140i | \(-0.825134\pi\) |
0.965417 | − | 0.260711i | \(-0.0839569\pi\) | |||||||
\(374\) | −6.56930 | + | 4.22184i | −0.339691 | + | 0.218306i | ||||
\(375\) | −2.98688 | − | 6.54035i | −0.154242 | − | 0.337742i | ||||
\(376\) | −19.1752 | − | 22.1293i | −0.988885 | − | 1.14123i | ||||
\(377\) | −3.59971 | − | 25.0365i | −0.185394 | − | 1.28945i | ||||
\(378\) | 5.03565 | − | 11.0265i | 0.259006 | − | 0.567144i | ||||
\(379\) | −0.0700264 | + | 0.0205616i | −0.00359701 | + | 0.00105618i | −0.283531 | − | 0.958963i | \(-0.591506\pi\) |
0.279934 | + | 0.960019i | \(0.409688\pi\) | |||||||
\(380\) | 9.38358 | − | 2.75527i | 0.481368 | − | 0.141342i | ||||
\(381\) | 0.555061 | − | 1.21541i | 0.0284367 | − | 0.0622676i | ||||
\(382\) | 6.14479 | + | 42.7380i | 0.314395 | + | 2.18666i | ||||
\(383\) | −17.3202 | − | 19.9885i | −0.885019 | − | 1.02137i | −0.999609 | − | 0.0279538i | \(-0.991101\pi\) |
0.114590 | − | 0.993413i | \(-0.463445\pi\) | |||||||
\(384\) | 6.36712 | + | 13.9420i | 0.324921 | + | 0.711477i | ||||
\(385\) | −10.4486 | + | 6.71492i | −0.532511 | + | 0.342224i | ||||
\(386\) | 5.05875 | − | 35.1844i | 0.257483 | − | 1.79084i | ||||
\(387\) | −0.502877 | − | 0.323180i | −0.0255627 | − | 0.0164281i | ||||
\(388\) | −23.7032 | + | 27.3549i | −1.20335 | + | 1.38874i | ||||
\(389\) | 30.7724 | + | 9.03560i | 1.56022 | + | 0.458123i | 0.944137 | − | 0.329554i | \(-0.106899\pi\) |
0.616088 | + | 0.787678i | \(0.288717\pi\) | |||||||
\(390\) | −6.54657 | −0.331499 | ||||||||
\(391\) | 4.08343 | + | 1.68628i | 0.206508 | + | 0.0852791i | ||||
\(392\) | 94.6940 | 4.78277 | ||||||||
\(393\) | −3.29214 | − | 0.966659i | −0.166066 | − | 0.0487615i | ||||
\(394\) | 5.06354 | − | 5.84364i | 0.255097 | − | 0.294398i | ||||
\(395\) | −6.75560 | − | 4.34156i | −0.339911 | − | 0.218448i | ||||
\(396\) | 2.07208 | − | 14.4117i | 0.104126 | − | 0.724213i | ||||
\(397\) | 15.4067 | − | 9.90129i | 0.773241 | − | 0.496932i | −0.0935435 | − | 0.995615i | \(-0.529819\pi\) |
0.866784 | + | 0.498684i | \(0.166183\pi\) | |||||||
\(398\) | 16.4641 | + | 36.0514i | 0.825271 | + | 1.80709i | ||||
\(399\) | −9.37150 | − | 10.8153i | −0.469162 | − | 0.541442i | ||||
\(400\) | 3.77265 | + | 26.2394i | 0.188633 | + | 1.31197i | ||||
\(401\) | 14.8518 | − | 32.5209i | 0.741664 | − | 1.62402i | −0.0391341 | − | 0.999234i | \(-0.512460\pi\) |
0.780798 | − | 0.624783i | \(-0.214813\pi\) | |||||||
\(402\) | −24.1486 | + | 7.09066i | −1.20442 | + | 0.353650i | ||||
\(403\) | 1.55807 | − | 0.457490i | 0.0776128 | − | 0.0227892i | ||||
\(404\) | −7.93199 | + | 17.3686i | −0.394631 | + | 0.864122i | ||||
\(405\) | 0.108660 | + | 0.755750i | 0.00539938 | + | 0.0375535i | ||||
\(406\) | −58.8568 | − | 67.9244i | −2.92101 | − | 3.37103i | ||||
\(407\) | 2.43978 | + | 5.34238i | 0.120936 | + | 0.264812i | ||||
\(408\) | −4.51264 | + | 2.90010i | −0.223409 | + | 0.143576i | ||||
\(409\) | −1.57976 | + | 10.9875i | −0.0781143 | + | 0.543297i | 0.912759 | + | 0.408499i | \(0.133948\pi\) |
−0.990873 | + | 0.134798i | \(0.956962\pi\) | |||||||
\(410\) | 5.98895 | + | 3.84886i | 0.295773 | + | 0.190082i | ||||
\(411\) | −2.66613 | + | 3.07687i | −0.131510 | + | 0.151771i | ||||
\(412\) | −67.1439 | − | 19.7152i | −3.30794 | − | 0.971300i | ||||
\(413\) | −31.6434 | −1.55707 | ||||||||
\(414\) | −10.7728 | + | 5.40692i | −0.529454 | + | 0.265736i | ||||
\(415\) | −2.25785 | −0.110833 | ||||||||
\(416\) | 11.2532 | + | 3.30423i | 0.551732 | + | 0.162003i | ||||
\(417\) | 3.93795 | − | 4.54464i | 0.192842 | − | 0.222552i | ||||
\(418\) | −21.1594 | − | 13.5983i | −1.03494 | − | 0.665117i | ||||
\(419\) | 5.42267 | − | 37.7155i | 0.264915 | − | 1.84252i | −0.229515 | − | 0.973305i | \(-0.573714\pi\) |
0.494429 | − | 0.869218i | \(-0.335377\pi\) | |||||||
\(420\) | −13.3733 | + | 8.59450i | −0.652551 | + | 0.419369i | ||||
\(421\) | 16.1314 | + | 35.3228i | 0.786197 | + | 1.72153i | 0.687230 | + | 0.726440i | \(0.258826\pi\) |
0.0989662 | + | 0.995091i | \(0.468446\pi\) | |||||||
\(422\) | 26.0718 | + | 30.0884i | 1.26915 | + | 1.46468i | ||||
\(423\) | −0.715632 | − | 4.97733i | −0.0347952 | − | 0.242006i | ||||
\(424\) | 0.214153 | − | 0.468930i | 0.0104002 | − | 0.0227733i | ||||
\(425\) | 3.90414 | − | 1.14636i | 0.189379 | − | 0.0556066i | ||||
\(426\) | 21.9945 | − | 6.45817i | 1.06564 | − | 0.312900i | ||||
\(427\) | 11.8038 | − | 25.8467i | 0.571225 | − | 1.25081i | ||||
\(428\) | 3.90136 | + | 27.1346i | 0.188580 | + | 1.31160i | ||||
\(429\) | 7.53494 | + | 8.69579i | 0.363791 | + | 0.419837i | ||||
\(430\) | 0.476529 | + | 1.04345i | 0.0229803 | + | 0.0503197i | ||||
\(431\) | 11.3809 | − | 7.31405i | 0.548198 | − | 0.352305i | −0.237040 | − | 0.971500i | \(-0.576177\pi\) |
0.785237 | + | 0.619195i | \(0.212541\pi\) | |||||||
\(432\) | 0.854114 | − | 5.94049i | 0.0410936 | − | 0.285812i | ||||
\(433\) | −0.875146 | − | 0.562422i | −0.0420569 | − | 0.0270283i | 0.519443 | − | 0.854505i | \(-0.326139\pi\) |
−0.561500 | + | 0.827477i | \(0.689776\pi\) | |||||||
\(434\) | 3.77854 | − | 4.36067i | 0.181376 | − | 0.209319i | ||||
\(435\) | 5.43172 | + | 1.59490i | 0.260431 | + | 0.0764694i | ||||
\(436\) | −10.6235 | −0.508776 | ||||||||
\(437\) | 0.523141 | + | 14.2203i | 0.0250252 | + | 0.680248i | ||||
\(438\) | 30.3261 | 1.44903 | ||||||||
\(439\) | 38.7399 | + | 11.3751i | 1.84895 | + | 0.542902i | 0.999893 | + | 0.0146080i | \(0.00465004\pi\) |
0.849061 | + | 0.528294i | \(0.177168\pi\) | |||||||
\(440\) | −9.81996 | + | 11.3328i | −0.468148 | + | 0.540272i | ||||
\(441\) | 13.6804 | + | 8.79184i | 0.651446 | + | 0.418659i | ||||
\(442\) | 1.12408 | − | 7.81813i | 0.0534669 | − | 0.371871i | ||||
\(443\) | −4.74472 | + | 3.04924i | −0.225428 | + | 0.144874i | −0.648480 | − | 0.761231i | \(-0.724595\pi\) |
0.423052 | + | 0.906105i | \(0.360959\pi\) | |||||||
\(444\) | 3.12270 | + | 6.83777i | 0.148197 | + | 0.324506i | ||||
\(445\) | 4.88192 | + | 5.63404i | 0.231425 | + | 0.267079i | ||||
\(446\) | 6.01977 | + | 41.8684i | 0.285044 | + | 1.98253i | ||||
\(447\) | 6.31017 | − | 13.8174i | 0.298461 | − | 0.653538i | ||||
\(448\) | −15.5611 | + | 4.56915i | −0.735193 | + | 0.215872i | ||||
\(449\) | −19.6683 | + | 5.77512i | −0.928203 | + | 0.272545i | −0.710684 | − | 0.703511i | \(-0.751614\pi\) |
−0.217519 | + | 0.976056i | \(0.569796\pi\) | |||||||
\(450\) | −4.61173 | + | 10.0983i | −0.217399 | + | 0.476037i | ||||
\(451\) | −1.78070 | − | 12.3850i | −0.0838499 | − | 0.583189i | ||||
\(452\) | 26.1628 | + | 30.1935i | 1.23060 | + | 1.42018i | ||||
\(453\) | 0.248740 | + | 0.544665i | 0.0116868 | + | 0.0255906i | ||||
\(454\) | −45.5354 | + | 29.2638i | −2.13708 | + | 1.37342i | ||||
\(455\) | 1.78787 | − | 12.4349i | 0.0838167 | − | 0.582958i | ||||
\(456\) | −14.5350 | − | 9.34109i | −0.680665 | − | 0.437437i | ||||
\(457\) | −6.82253 | + | 7.87362i | −0.319144 | + | 0.368312i | −0.892541 | − | 0.450965i | \(-0.851080\pi\) |
0.573397 | + | 0.819278i | \(0.305625\pi\) | |||||||
\(458\) | 1.36619 | + | 0.401150i | 0.0638379 | + | 0.0187445i | ||||
\(459\) | −0.921198 | −0.0429978 | ||||||||
\(460\) | 15.7184 | + | 1.67286i | 0.732873 | + | 0.0779974i | ||||
\(461\) | −17.5918 | −0.819334 | −0.409667 | − | 0.912235i | \(-0.634355\pi\) | ||||
−0.409667 | + | 0.912235i | \(0.634355\pi\) | |||||||
\(462\) | 39.2287 | + | 11.5186i | 1.82508 | + | 0.535893i | ||||
\(463\) | 3.41473 | − | 3.94081i | 0.158696 | − | 0.183145i | −0.670833 | − | 0.741608i | \(-0.734063\pi\) |
0.829529 | + | 0.558463i | \(0.188609\pi\) | |||||||
\(464\) | −37.4341 | − | 24.0574i | −1.73783 | − | 1.11684i | ||||
\(465\) | −0.0517217 | + | 0.359733i | −0.00239854 | + | 0.0166822i | ||||
\(466\) | 17.0292 | − | 10.9440i | 0.788863 | − | 0.506971i | ||||
\(467\) | −0.104418 | − | 0.228644i | −0.00483191 | − | 0.0105804i | 0.907201 | − | 0.420698i | \(-0.138215\pi\) |
−0.912033 | + | 0.410118i | \(0.865488\pi\) | |||||||
\(468\) | 9.64405 | + | 11.1298i | 0.445796 | + | 0.514477i | ||||
\(469\) | −6.87340 | − | 47.8055i | −0.317384 | − | 2.20745i | ||||
\(470\) | −4.00861 | + | 8.77762i | −0.184903 | + | 0.404882i | ||||
\(471\) | −3.30651 | + | 0.970880i | −0.152356 | + | 0.0447358i | ||||
\(472\) | −36.6567 | + | 10.7634i | −1.68726 | + | 0.495425i | ||||
\(473\) | 0.837541 | − | 1.83396i | 0.0385102 | − | 0.0843255i | ||||
\(474\) | 3.76198 | + | 26.1652i | 0.172794 | + | 1.20181i | ||||
\(475\) | 8.58257 | + | 9.90481i | 0.393795 | + | 0.454464i | ||||
\(476\) | −7.96757 | − | 17.4465i | −0.365193 | − | 0.799661i | ||||
\(477\) | 0.0744763 | − | 0.0478630i | 0.00341003 | − | 0.00219150i | ||||
\(478\) | 2.47104 | − | 17.1865i | 0.113023 | − | 0.786091i | ||||
\(479\) | −26.4674 | − | 17.0096i | −1.20933 | − | 0.777188i | −0.228783 | − | 0.973478i | \(-0.573474\pi\) |
−0.980546 | + | 0.196289i | \(0.937111\pi\) | |||||||
\(480\) | −1.71894 | + | 1.98376i | −0.0784586 | + | 0.0905460i | ||||
\(481\) | −5.69986 | − | 1.67363i | −0.259891 | − | 0.0763110i | ||||
\(482\) | −0.831472 | −0.0378725 | ||||||||
\(483\) | −7.32815 | − | 21.9390i | −0.333442 | − | 0.998261i | ||||
\(484\) | 1.62177 | 0.0737169 | ||||||||
\(485\) | 6.14260 | + | 1.80363i | 0.278921 | + | 0.0818987i | ||||
\(486\) | 1.64589 | − | 1.89945i | 0.0746589 | − | 0.0861610i | ||||
\(487\) | −3.08900 | − | 1.98518i | −0.139976 | − | 0.0899570i | 0.468779 | − | 0.883316i | \(-0.344694\pi\) |
−0.608755 | + | 0.793359i | \(0.708331\pi\) | |||||||
\(488\) | 4.88222 | − | 33.9566i | 0.221008 | − | 1.53714i | ||||
\(489\) | −12.0431 | + | 7.73962i | −0.544607 | + | 0.349998i | ||||
\(490\) | −12.9636 | − | 28.3863i | −0.585635 | − | 1.28236i | ||||
\(491\) | −10.6670 | − | 12.3103i | −0.481393 | − | 0.555558i | 0.462152 | − | 0.886801i | \(-0.347077\pi\) |
−0.943545 | + | 0.331243i | \(0.892532\pi\) | |||||||
\(492\) | −2.27914 | − | 15.8517i | −0.102751 | − | 0.714652i | ||||
\(493\) | −2.83733 | + | 6.21288i | −0.127787 | + | 0.279814i | ||||
\(494\) | 24.4103 | − | 7.16750i | 1.09827 | − | 0.322481i | ||||
\(495\) | −2.47088 | + | 0.725516i | −0.111058 | + | 0.0326095i | ||||
\(496\) | 1.18672 | − | 2.59856i | 0.0532855 | − | 0.116679i | ||||
\(497\) | 6.26029 | + | 43.5413i | 0.280813 | + | 1.95309i | ||||
\(498\) | 4.86714 | + | 5.61697i | 0.218102 | + | 0.251703i | ||||
\(499\) | 8.04026 | + | 17.6057i | 0.359932 | + | 0.788140i | 0.999807 | + | 0.0196614i | \(0.00625883\pi\) |
−0.639875 | + | 0.768479i | \(0.721014\pi\) | |||||||
\(500\) | 26.1114 | − | 16.7808i | 1.16774 | − | 0.750460i | ||||
\(501\) | −3.24612 | + | 22.5773i | −0.145026 | + | 1.00868i | ||||
\(502\) | 57.7701 | + | 37.1266i | 2.57841 | + | 1.65704i | ||||
\(503\) | 23.3139 | − | 26.9057i | 1.03952 | − | 1.19966i | 0.0600201 | − | 0.998197i | \(-0.480884\pi\) |
0.979495 | − | 0.201467i | \(-0.0645710\pi\) | |||||||
\(504\) | 26.9473 | + | 7.91245i | 1.20033 | + | 0.352448i | ||||
\(505\) | 3.37717 | 0.150282 | ||||||||
\(506\) | −23.2217 | − | 33.3692i | −1.03233 | − | 1.48344i | ||||
\(507\) | 1.36183 | 0.0604811 | ||||||||
\(508\) | 5.53438 | + | 1.62504i | 0.245548 | + | 0.0720995i | ||||
\(509\) | −0.922120 | + | 1.06418i | −0.0408723 | + | 0.0471691i | −0.775818 | − | 0.630957i | \(-0.782662\pi\) |
0.734945 | + | 0.678126i | \(0.237208\pi\) | |||||||
\(510\) | 1.48714 | + | 0.955726i | 0.0658516 | + | 0.0423203i | ||||
\(511\) | −8.28205 | + | 57.6029i | −0.366376 | + | 2.54820i | ||||
\(512\) | −41.4422 | + | 26.6333i | −1.83150 | + | 1.17704i | ||||
\(513\) | −1.23259 | − | 2.69900i | −0.0544203 | − | 0.119164i | ||||
\(514\) | −6.12403 | − | 7.06751i | −0.270120 | − | 0.311735i | ||||
\(515\) | 1.76144 | + | 12.2511i | 0.0776183 | + | 0.539847i | ||||
\(516\) | 1.07198 | − | 2.34730i | 0.0471912 | − | 0.103334i | ||||
\(517\) | 16.2731 | − | 4.77821i | 0.715690 | − | 0.210145i | ||||
\(518\) | −20.2533 | + | 5.94690i | −0.889878 | + | 0.261292i | ||||
\(519\) | 0.690682 | − | 1.51238i | 0.0303176 | − | 0.0663862i | ||||
\(520\) | −2.15856 | − | 15.0131i | −0.0946592 | − | 0.658370i | ||||
\(521\) | 25.1455 | + | 29.0195i | 1.10164 | + | 1.27137i | 0.959558 | + | 0.281512i | \(0.0908358\pi\) |
0.142087 | + | 0.989854i | \(0.454619\pi\) | |||||||
\(522\) | −7.74118 | − | 16.9508i | −0.338822 | − | 0.741918i | ||||
\(523\) | −3.95739 | + | 2.54326i | −0.173044 | + | 0.111209i | −0.624296 | − | 0.781188i | \(-0.714614\pi\) |
0.451252 | + | 0.892397i | \(0.350978\pi\) | |||||||
\(524\) | 2.10792 | − | 14.6609i | 0.0920851 | − | 0.640466i | ||||
\(525\) | −17.9217 | − | 11.5176i | −0.782169 | − | 0.502670i | ||||
\(526\) | 30.4069 | − | 35.0914i | 1.32580 | − | 1.53006i | ||||
\(527\) | −0.420723 | − | 0.123536i | −0.0183270 | − | 0.00538129i | ||||
\(528\) | 20.2421 | 0.880922 | ||||||||
\(529\) | −7.99146 | + | 21.5670i | −0.347455 | + | 0.937697i | ||||
\(530\) | −0.169888 | −0.00737947 | ||||||||
\(531\) | −6.29510 | − | 1.84841i | −0.273184 | − | 0.0802140i | ||||
\(532\) | 40.4555 | − | 46.6881i | 1.75397 | − | 2.02419i | ||||
\(533\) | 10.6468 | + | 6.84231i | 0.461166 | + | 0.296373i | ||||
\(534\) | 3.49238 | − | 24.2901i | 0.151130 | − | 1.05113i | ||||
\(535\) | 4.07893 | − | 2.62137i | 0.176347 | − | 0.113332i | ||||
\(536\) | −24.2232 | − | 53.0415i | −1.04628 | − | 2.29104i | ||||
\(537\) | 15.9622 | + | 18.4214i | 0.688820 | + | 0.794940i | ||||
\(538\) | −2.67202 | − | 18.5843i | −0.115199 | − | 0.801226i | ||||
\(539\) | −22.7846 | + | 49.8914i | −0.981404 | + | 2.14897i | ||||
\(540\) | −3.16250 | + | 0.928595i | −0.136093 | + | 0.0399604i | ||||
\(541\) | 2.33038 | − | 0.684262i | 0.100191 | − | 0.0294187i | −0.231253 | − | 0.972894i | \(-0.574282\pi\) |
0.331444 | + | 0.943475i | \(0.392464\pi\) | |||||||
\(542\) | 26.5965 | − | 58.2382i | 1.14242 | − | 2.50154i | ||||
\(543\) | −1.50779 | − | 10.4869i | −0.0647057 | − | 0.450038i | ||||
\(544\) | −2.07392 | − | 2.39344i | −0.0889188 | − | 0.102618i | ||||
\(545\) | 0.780557 | + | 1.70918i | 0.0334354 | + | 0.0732133i | ||||
\(546\) | −34.7890 | + | 22.3576i | −1.48883 | + | 0.956815i | ||||
\(547\) | 2.31498 | − | 16.1010i | 0.0989814 | − | 0.688431i | −0.878552 | − | 0.477648i | \(-0.841490\pi\) |
0.977533 | − | 0.210783i | \(-0.0676013\pi\) | |||||||
\(548\) | −14.7852 | − | 9.50186i | −0.631592 | − | 0.405899i | ||||
\(549\) | 3.85803 | − | 4.45240i | 0.164657 | − | 0.190024i | ||||
\(550\) | −35.9263 | − | 10.5489i | −1.53190 | − | 0.449807i | ||||
\(551\) | −21.9995 | −0.937208 | ||||||||
\(552\) | −15.9516 | − | 22.9222i | −0.678947 | − | 0.975636i | ||||
\(553\) | −50.7269 | −2.15713 | ||||||||
\(554\) | −75.7427 | − | 22.2401i | −3.21800 | − | 0.944890i | ||||
\(555\) | 0.870663 | − | 1.00480i | 0.0369576 | − | 0.0426513i | ||||
\(556\) | 21.8382 | + | 14.0346i | 0.926146 | + | 0.595198i | ||||
\(557\) | 4.29622 | − | 29.8809i | 0.182037 | − | 1.26609i | −0.669901 | − | 0.742450i | \(-0.733663\pi\) |
0.851938 | − | 0.523643i | \(-0.175427\pi\) | |||||||
\(558\) | 1.00642 | − | 0.646787i | 0.0426052 | − | 0.0273807i | ||||
\(559\) | 0.847149 | + | 1.85500i | 0.0358306 | + | 0.0784580i | ||||
\(560\) | −14.4730 | − | 16.7027i | −0.611596 | − | 0.705819i | ||||
\(561\) | −0.442173 | − | 3.07538i | −0.0186685 | − | 0.129843i | ||||
\(562\) | −5.57586 | + | 12.2094i | −0.235203 | + | 0.515024i | ||||
\(563\) | 28.3538 | − | 8.32542i | 1.19497 | − | 0.350875i | 0.377042 | − | 0.926196i | \(-0.376941\pi\) |
0.817927 | + | 0.575321i | \(0.195123\pi\) | |||||||
\(564\) | 20.8281 | − | 6.11568i | 0.877021 | − | 0.257517i | ||||
\(565\) | 2.93542 | − | 6.42768i | 0.123494 | − | 0.270414i | ||||
\(566\) | −6.17068 | − | 42.9180i | −0.259373 | − | 1.80398i | ||||
\(567\) | 3.15843 | + | 3.64502i | 0.132642 | + | 0.153077i | ||||
\(568\) | 22.0625 | + | 48.3102i | 0.925723 | + | 2.02705i | ||||
\(569\) | −17.6455 | + | 11.3400i | −0.739736 | + | 0.475400i | −0.855452 | − | 0.517883i | \(-0.826720\pi\) |
0.115715 | + | 0.993282i | \(0.463084\pi\) | |||||||
\(570\) | −0.810326 | + | 5.63594i | −0.0339408 | + | 0.236063i | ||||
\(571\) | 4.34206 | + | 2.79047i | 0.181709 | + | 0.116778i | 0.628333 | − | 0.777944i | \(-0.283737\pi\) |
−0.446624 | + | 0.894722i | \(0.647374\pi\) | |||||||
\(572\) | −32.5273 | + | 37.5385i | −1.36004 | + | 1.56956i | ||||
\(573\) | −16.4834 | − | 4.83998i | −0.688606 | − | 0.202193i | ||||
\(574\) | 44.9702 | 1.87702 | ||||||||
\(575\) | 6.71124 | + | 20.0921i | 0.279878 | + | 0.837900i | ||||
\(576\) | −3.36261 | −0.140109 | ||||||||
\(577\) | −21.7407 | − | 6.38365i | −0.905078 | − | 0.265755i | −0.204110 | − | 0.978948i | \(-0.565430\pi\) |
−0.700968 | + | 0.713193i | \(0.747248\pi\) | |||||||
\(578\) | 26.5834 | − | 30.6788i | 1.10572 | − | 1.27607i | ||||
\(579\) | 11.8979 | + | 7.64629i | 0.494458 | + | 0.317769i | ||||
\(580\) | −3.47788 | + | 24.1892i | −0.144411 | + | 1.00440i | ||||
\(581\) | −11.9984 | + | 7.71090i | −0.497777 | + | 0.319902i | ||||
\(582\) | −8.75432 | − | 19.1693i | −0.362878 | − | 0.794593i | ||||
\(583\) | 0.195537 | + | 0.225662i | 0.00809831 | + | 0.00934595i | ||||
\(584\) | 9.99923 | + | 69.5462i | 0.413771 | + | 2.87784i | ||||
\(585\) | 1.08205 | − | 2.36935i | 0.0447371 | − | 0.0979605i | ||||
\(586\) | 79.3734 | − | 23.3061i | 3.27888 | − | 0.962767i | ||||
\(587\) | −2.29196 | + | 0.672981i | −0.0945995 | + | 0.0277769i | −0.328690 | − | 0.944438i | \(-0.606607\pi\) |
0.234090 | + | 0.972215i | \(0.424789\pi\) | |||||||
\(588\) | −29.1623 | + | 63.8565i | −1.20263 | + | 2.63340i | ||||
\(589\) | −0.200997 | − | 1.39796i | −0.00828194 | − | 0.0576021i | ||||
\(590\) | 8.24482 | + | 9.51503i | 0.339434 | + | 0.391728i | ||||
\(591\) | 1.27802 | + | 2.79847i | 0.0525706 | + | 0.115114i | ||||
\(592\) | −8.79170 | + | 5.65008i | −0.361337 | + | 0.232217i | ||||
\(593\) | −5.12798 | + | 35.6659i | −0.210581 | + | 1.46462i | 0.560642 | + | 0.828058i | \(0.310554\pi\) |
−0.771223 | + | 0.636565i | \(0.780355\pi\) | |||||||
\(594\) | 7.13126 | + | 4.58298i | 0.292599 | + | 0.188042i | ||||
\(595\) | −2.22150 | + | 2.56374i | −0.0910724 | + | 0.105103i | ||||
\(596\) | 62.9172 | + | 18.4742i | 2.57719 | + | 0.756731i | ||||
\(597\) | −15.7690 | −0.645384 | ||||||||
\(598\) | 40.8894 | + | 4.35174i | 1.67209 | + | 0.177956i | ||||
\(599\) | 13.8880 | 0.567450 | 0.283725 | − | 0.958906i | \(-0.408430\pi\) | ||||
0.283725 | + | 0.958906i | \(0.408430\pi\) | |||||||
\(600\) | −24.6788 | − | 7.24635i | −1.00751 | − | 0.295831i | ||||
\(601\) | −17.6880 | + | 20.4131i | −0.721509 | + | 0.832666i | −0.991488 | − | 0.130200i | \(-0.958438\pi\) |
0.269979 | + | 0.962866i | \(0.412983\pi\) | |||||||
\(602\) | 6.09586 | + | 3.91757i | 0.248449 | + | 0.159668i | ||||
\(603\) | 1.42511 | − | 9.91187i | 0.0580350 | − | 0.403642i | ||||
\(604\) | −2.17450 | + | 1.39746i | −0.0884791 | + | 0.0568620i | ||||
\(605\) | −0.119158 | − | 0.260920i | −0.00484448 | − | 0.0106079i | ||||
\(606\) | −7.28000 | − | 8.40156i | −0.295730 | − | 0.341290i | ||||
\(607\) | −2.52692 | − | 17.5751i | −0.102564 | − | 0.713351i | −0.974607 | − | 0.223922i | \(-0.928114\pi\) |
0.872043 | − | 0.489430i | \(-0.162795\pi\) | |||||||
\(608\) | 4.23751 | − | 9.27885i | 0.171854 | − | 0.376307i | ||||
\(609\) | 34.3114 | − | 10.0747i | 1.39037 | − | 0.408249i | ||||
\(610\) | −10.8475 | + | 3.18512i | −0.439203 | + | 0.128962i | ||||
\(611\) | −7.12630 | + | 15.6044i | −0.288299 | + | 0.631287i | ||||
\(612\) | −0.565941 | − | 3.93621i | −0.0228768 | − | 0.159112i | ||||
\(613\) | −1.90692 | − | 2.20070i | −0.0770198 | − | 0.0888856i | 0.715932 | − | 0.698170i | \(-0.246002\pi\) |
−0.792952 | + | 0.609285i | \(0.791457\pi\) | |||||||
\(614\) | 18.1569 | + | 39.7581i | 0.732754 | + | 1.60451i | ||||
\(615\) | −2.38287 | + | 1.53138i | −0.0960865 | + | 0.0617510i | ||||
\(616\) | −13.4807 | + | 93.7604i | −0.543153 | + | 3.77771i | ||||
\(617\) | −4.67930 | − | 3.00721i | −0.188382 | − | 0.121066i | 0.443050 | − | 0.896497i | \(-0.353896\pi\) |
−0.631432 | + | 0.775431i | \(0.717533\pi\) | |||||||
\(618\) | 26.6806 | − | 30.7911i | 1.07325 | − | 1.23860i | ||||
\(619\) | −30.9607 | − | 9.09087i | −1.24441 | − | 0.365393i | −0.407742 | − | 0.913097i | \(-0.633684\pi\) |
−0.836672 | + | 0.547704i | \(0.815502\pi\) | |||||||
\(620\) | −1.56889 | −0.0630079 | ||||||||
\(621\) | −0.176312 | − | 4.79259i | −0.00707515 | − | 0.192320i | ||||
\(622\) | −28.0966 | −1.12657 | ||||||||
\(623\) | 45.1841 | + | 13.2672i | 1.81026 | + | 0.531541i | ||||
\(624\) | −13.4078 | + | 15.4734i | −0.536741 | + | 0.619432i | ||||
\(625\) | 13.9609 | + | 8.97214i | 0.558437 | + | 0.358886i | ||||
\(626\) | −10.2762 | + | 71.4727i | −0.410720 | + | 2.85662i | ||||
\(627\) | 8.41886 | − | 5.41047i | 0.336217 | − | 0.216073i | ||||
\(628\) | −6.17986 | − | 13.5320i | −0.246603 | − | 0.539986i | ||||
\(629\) | 1.05047 | + | 1.21230i | 0.0418848 | + | 0.0483377i | ||||
\(630\) | −1.31718 | − | 9.16118i | −0.0524776 | − | 0.364990i | ||||
\(631\) | −14.7279 | + | 32.2497i | −0.586310 | + | 1.28384i | 0.351337 | + | 0.936249i | \(0.385727\pi\) |
−0.937646 | + | 0.347590i | \(0.887000\pi\) | |||||||
\(632\) | −58.7637 | + | 17.2546i | −2.33749 | + | 0.686350i | ||||
\(633\) | −15.1989 | + | 4.46281i | −0.604103 | + | 0.177381i | ||||
\(634\) | −19.6879 | + | 43.1105i | −0.781906 | + | 1.71214i | ||||
\(635\) | −0.145188 | − | 1.00980i | −0.00576160 | − | 0.0400728i | ||||
\(636\) | 0.250270 | + | 0.288827i | 0.00992384 | + | 0.0114527i | ||||
\(637\) | −23.0460 | − | 50.4637i | −0.913116 | − | 1.99944i | ||||
\(638\) | 52.8738 | − | 33.9800i | 2.09330 | − | 1.34528i | ||||
\(639\) | −1.29799 | + | 9.02773i | −0.0513478 | + | 0.357132i | ||||
\(640\) | 9.84484 | + | 6.32690i | 0.389152 | + | 0.250093i | ||||
\(641\) | 15.9578 | − | 18.4163i | 0.630295 | − | 0.727399i | −0.347333 | − | 0.937742i | \(-0.612913\pi\) |
0.977628 | + | 0.210343i | \(0.0674580\pi\) | |||||||
\(642\) | −15.3141 | − | 4.49662i | −0.604398 | − | 0.177467i | ||||
\(643\) | 16.2231 | 0.639777 | 0.319888 | − | 0.947455i | \(-0.396355\pi\) | ||||
0.319888 | + | 0.947455i | \(0.396355\pi\) | |||||||
\(644\) | 89.2418 | − | 44.7910i | 3.51662 | − | 1.76501i | ||||
\(645\) | −0.456411 | −0.0179712 | ||||||||
\(646\) | −6.59148 | − | 1.93543i | −0.259338 | − | 0.0761486i | ||||
\(647\) | 29.4336 | − | 33.9682i | 1.15715 | − | 1.33543i | 0.224577 | − | 0.974456i | \(-0.427900\pi\) |
0.932577 | − | 0.360971i | \(-0.117555\pi\) | |||||||
\(648\) | 4.89867 | + | 3.14818i | 0.192438 | + | 0.123672i | ||||
\(649\) | 3.14920 | − | 21.9031i | 0.123617 | − | 0.859773i | ||||
\(650\) | 31.8604 | − | 20.4754i | 1.24967 | − | 0.803112i | ||||
\(651\) | 0.953688 | + | 2.08829i | 0.0373780 | + | 0.0818464i | ||||
\(652\) | −40.4695 | − | 46.7043i | −1.58491 | − | 1.82908i | ||||
\(653\) | 5.13339 | + | 35.7035i | 0.200885 | + | 1.39719i | 0.801665 | + | 0.597773i | \(0.203948\pi\) |
−0.600780 | + | 0.799414i | \(0.705143\pi\) | |||||||
\(654\) | 2.56941 | − | 5.62623i | 0.100472 | − | 0.220003i | ||||
\(655\) | −2.51362 | + | 0.738065i | −0.0982152 | + | 0.0288386i | ||||
\(656\) | 21.3629 | − | 6.27270i | 0.834079 | − | 0.244908i | ||||
\(657\) | −5.01242 | + | 10.9757i | −0.195553 | + | 0.428201i | ||||
\(658\) | 8.67487 | + | 60.3350i | 0.338182 | + | 2.35210i | ||||
\(659\) | −7.11106 | − | 8.20660i | −0.277007 | − | 0.319684i | 0.600149 | − | 0.799888i | \(-0.295108\pi\) |
−0.877157 | + | 0.480204i | \(0.840562\pi\) | |||||||
\(660\) | −4.61807 | − | 10.1122i | −0.179758 | − | 0.393615i | ||||
\(661\) | 37.5835 | − | 24.1535i | 1.46183 | − | 0.939461i | 0.463248 | − | 0.886228i | \(-0.346684\pi\) |
0.998582 | − | 0.0532330i | \(-0.0169526\pi\) | |||||||
\(662\) | 3.08863 | − | 21.4819i | 0.120043 | − | 0.834916i | ||||
\(663\) | 2.64376 | + | 1.69904i | 0.102675 | + | 0.0659853i | ||||
\(664\) | −11.2765 | + | 13.0138i | −0.437613 | + | 0.505032i | ||||
\(665\) | −10.4839 | − | 3.07835i | −0.406548 | − | 0.119373i | ||||
\(666\) | −4.37654 | −0.169587 | ||||||||
\(667\) | −32.8660 | − | 13.5723i | −1.27257 | − | 0.525520i | ||||
\(668\) | −98.4652 | −3.80973 | ||||||||
\(669\) | −16.1481 | − | 4.74150i | −0.624321 | − | 0.183317i | ||||
\(670\) | −12.5840 | + | 14.5227i | −0.486163 | + | 0.561062i | ||||
\(671\) | 16.7160 | + | 10.7427i | 0.645314 | + | 0.414718i | ||||
\(672\) | −2.35974 | + | 16.4123i | −0.0910289 | + | 0.633120i | ||||
\(673\) | 9.46551 | − | 6.08312i | 0.364869 | − | 0.234487i | −0.345341 | − | 0.938477i | \(-0.612237\pi\) |
0.710209 | + | 0.703991i | \(0.248600\pi\) | |||||||
\(674\) | −11.9426 | − | 26.1506i | −0.460012 | − | 1.00729i | ||||
\(675\) | −2.89254 | − | 3.33817i | −0.111334 | − | 0.128486i | ||||
\(676\) | 0.836646 | + | 5.81900i | 0.0321787 | + | 0.223808i | ||||
\(677\) | 4.92928 | − | 10.7936i | 0.189447 | − | 0.414832i | −0.790945 | − | 0.611887i | \(-0.790411\pi\) |
0.980392 | + | 0.197055i | \(0.0631378\pi\) | |||||||
\(678\) | −22.3182 | + | 6.55322i | −0.857126 | + | 0.251675i | ||||
\(679\) | 38.8020 | − | 11.3933i | 1.48908 | − | 0.437234i | ||||
\(680\) | −1.70140 | + | 3.72555i | −0.0652459 | + | 0.142868i | ||||
\(681\) | −3.06494 | − | 21.3171i | −0.117449 | − | 0.816873i | ||||
\(682\) | 2.64235 | + | 3.04943i | 0.101181 | + | 0.116769i | ||||
\(683\) | −7.12926 | − | 15.6109i | −0.272794 | − | 0.597335i | 0.722805 | − | 0.691052i | \(-0.242852\pi\) |
−0.995599 | + | 0.0937170i | \(0.970125\pi\) | |||||||
\(684\) | 10.7754 | − | 6.92492i | 0.412007 | − | 0.264781i | ||||
\(685\) | −0.442388 | + | 3.07687i | −0.0169028 | + | 0.117561i | ||||
\(686\) | −94.4496 | − | 60.6991i | −3.60610 | − | 2.31750i | ||||
\(687\) | −0.370995 | + | 0.428150i | −0.0141543 | + | 0.0163350i | ||||
\(688\) | 3.44225 | + | 1.01074i | 0.131235 | + | 0.0385340i | ||||
\(689\) | −0.302018 | −0.0115060 | ||||||||
\(690\) | −4.68760 | + | 7.91986i | −0.178454 | + | 0.301504i | ||||
\(691\) | −21.3055 | −0.810501 | −0.405250 | − | 0.914206i | \(-0.632816\pi\) | ||||
−0.405250 | + | 0.914206i | \(0.632816\pi\) | |||||||
\(692\) | 6.88662 | + | 2.02209i | 0.261790 | + | 0.0768685i | ||||
\(693\) | −10.6527 | + | 12.2939i | −0.404663 | + | 0.467006i | ||||
\(694\) | −59.0550 | − | 37.9523i | −2.24170 | − | 1.44065i | ||||
\(695\) | 0.653420 | − | 4.54464i | 0.0247857 | − | 0.172388i | ||||
\(696\) | 36.3206 | − | 23.3418i | 1.37673 | − | 0.884769i | ||||
\(697\) | −1.41967 | − | 3.10864i | −0.0537738 | − | 0.117748i | ||||
\(698\) | 29.4017 | + | 33.9314i | 1.11287 | + | 1.28432i | ||||
\(699\) | 1.14622 | + | 7.97211i | 0.0433539 | + | 0.301533i | ||||
\(700\) | 38.2036 | − | 83.6541i | 1.44396 | − | 3.16183i | ||||
\(701\) | −37.6974 | + | 11.0689i | −1.42381 | + | 0.418068i | −0.900791 | − | 0.434253i | \(-0.857012\pi\) |
−0.523019 | + | 0.852321i | \(0.675194\pi\) | |||||||
\(702\) | −8.22687 | + | 2.41563i | −0.310503 | + | 0.0911720i | ||||
\(703\) | −2.14635 | + | 4.69984i | −0.0809510 | + | 0.177258i | ||||
\(704\) | −1.61404 | − | 11.2259i | −0.0608315 | − | 0.423093i | ||||
\(705\) | −2.51426 | − | 2.90161i | −0.0946924 | − | 0.109281i | ||||
\(706\) | 8.58318 | + | 18.7946i | 0.323032 | + | 0.707342i | ||||
\(707\) | 17.9465 | − | 11.5335i | 0.674949 | − | 0.433764i | ||||
\(708\) | 4.03069 | − | 28.0340i | 0.151483 | − | 1.05358i | ||||
\(709\) | −16.0041 | − | 10.2852i | −0.601047 | − | 0.386269i | 0.204443 | − | 0.978878i | \(-0.434462\pi\) |
−0.805490 | + | 0.592609i | \(0.798098\pi\) | |||||||
\(710\) | 11.4615 | − | 13.2273i | 0.430144 | − | 0.496412i | ||||
\(711\) | −10.0915 | − | 2.96315i | −0.378463 | − | 0.111127i | ||||
\(712\) | 56.8554 | 2.13075 | ||||||||
\(713\) | 0.562177 | − | 2.21248i | 0.0210537 | − | 0.0828581i | ||||
\(714\) | 11.1667 | 0.417905 | ||||||||
\(715\) | 8.42935 | + | 2.47508i | 0.315240 | + | 0.0925627i | ||||
\(716\) | −68.9066 | + | 79.5225i | −2.57516 | + | 2.97189i | ||||
\(717\) | 5.81174 | + | 3.73498i | 0.217043 | + | 0.139485i | ||||
\(718\) | 1.73578 | − | 12.0726i | 0.0647787 | − | 0.450546i | ||||
\(719\) | −3.40452 | + | 2.18795i | −0.126967 | + | 0.0815968i | −0.602583 | − | 0.798056i | \(-0.705862\pi\) |
0.475616 | + | 0.879653i | \(0.342225\pi\) | |||||||
\(720\) | −1.90357 | − | 4.16824i | −0.0709419 | − | 0.155341i | ||||
\(721\) | 51.1998 | + | 59.0877i | 1.90678 | + | 2.20054i | ||||
\(722\) | 3.64699 | + | 25.3654i | 0.135727 | + | 0.944002i | ||||
\(723\) | 0.137429 | − | 0.300928i | 0.00511105 | − | 0.0111916i | ||||
\(724\) | 43.8836 | − | 12.8854i | 1.63092 | − | 0.478881i | ||||
\(725\) | −31.4230 | + | 9.22661i | −1.16702 | + | 0.342668i | ||||
\(726\) | −0.392242 | + | 0.858890i | −0.0145575 | + | 0.0318764i | ||||
\(727\) | −4.82536 | − | 33.5611i | −0.178963 | − | 1.24471i | −0.859169 | − | 0.511692i | \(-0.829019\pi\) |
0.680206 | − | 0.733021i | \(-0.261890\pi\) | |||||||
\(728\) | −62.7430 | − | 72.4092i | −2.32541 | − | 2.68366i | ||||
\(729\) | 0.415415 | + | 0.909632i | 0.0153857 | + | 0.0336901i | ||||
\(730\) | 19.4789 | − | 12.5183i | 0.720945 | − | 0.463323i | ||||
\(731\) | 0.0783679 | − | 0.545061i | 0.00289854 | − | 0.0201598i | ||||
\(732\) | 21.3950 | + | 13.7497i | 0.790781 | + | 0.508204i | ||||
\(733\) | 26.8279 | − | 30.9611i | 0.990912 | − | 1.14357i | 0.00127246 | − | 0.999999i | \(-0.499595\pi\) |
0.989640 | − | 0.143574i | \(-0.0458596\pi\) | |||||||
\(734\) | 26.4791 | + | 7.77497i | 0.977362 | + | 0.286979i | ||||
\(735\) | 12.4163 | 0.457982 | ||||||||
\(736\) | 12.0551 | − | 11.2478i | 0.444356 | − | 0.414600i | ||||
\(737\) | 33.7744 | 1.24410 | ||||||||
\(738\) | 8.94632 | + | 2.62688i | 0.329318 | + | 0.0966966i | ||||
\(739\) | −10.2508 | + | 11.8300i | −0.377081 | + | 0.435174i | −0.912290 | − | 0.409545i | \(-0.865687\pi\) |
0.535209 | + | 0.844720i | \(0.320233\pi\) | |||||||
\(740\) | 4.82832 | + | 3.10298i | 0.177493 | + | 0.114068i | ||||
\(741\) | −1.44056 | + | 10.0193i | −0.0529201 | + | 0.368068i | ||||
\(742\) | −0.902799 | + | 0.580194i | −0.0331428 | + | 0.0212996i | ||||
\(743\) | 9.31220 | + | 20.3909i | 0.341632 | + | 0.748069i | 0.999989 | − | 0.00463635i | \(-0.00147580\pi\) |
−0.658358 | + | 0.752705i | \(0.728749\pi\) | |||||||
\(744\) | 1.81511 | + | 2.09474i | 0.0665450 | + | 0.0767970i | ||||
\(745\) | −1.65056 | − | 11.4799i | −0.0604717 | − | 0.420590i | ||||
\(746\) | −15.9481 | + | 34.9215i | −0.583902 | + | 1.27857i | ||||
\(747\) | −2.83737 | + | 0.833126i | −0.103814 | + | 0.0304825i | ||||
\(748\) | 12.8692 | − | 3.77874i | 0.470545 | − | 0.138164i | ||||
\(749\) | 12.7234 | − | 27.8603i | 0.464903 | − | 1.01799i | ||||
\(750\) | 2.57179 | + | 17.8872i | 0.0939086 | + | 0.653149i | ||||
\(751\) | −25.9577 | − | 29.9568i | −0.947211 | − | 1.09314i | −0.995543 | − | 0.0943087i | \(-0.969936\pi\) |
0.0483318 | − | 0.998831i | \(-0.484610\pi\) | |||||||
\(752\) | 12.5368 | + | 27.4518i | 0.457171 | + | 1.00106i | ||||
\(753\) | −22.9854 | + | 14.7718i | −0.837636 | + | 0.538316i | ||||
\(754\) | −9.04727 | + | 62.9252i | −0.329482 | + | 2.29160i | ||||
\(755\) | 0.384602 | + | 0.247169i | 0.0139971 | + | 0.00899539i | ||||
\(756\) | −13.6345 | + | 15.7351i | −0.495883 | + | 0.572279i | ||||
\(757\) | 37.0396 | + | 10.8758i | 1.34623 | + | 0.395288i | 0.873888 | − | 0.486128i | \(-0.161591\pi\) |
0.472340 | + | 0.881416i | \(0.343409\pi\) | |||||||
\(758\) | 0.183430 | 0.00666248 | ||||||||
\(759\) | 15.9152 | − | 2.88904i | 0.577686 | − | 0.104866i | ||||
\(760\) | −13.1920 | −0.478523 | ||||||||
\(761\) | −39.2329 | − | 11.5198i | −1.42219 | − | 0.417593i | −0.521946 | − | 0.852979i | \(-0.674794\pi\) |
−0.900244 | + | 0.435386i | \(0.856612\pi\) | |||||||
\(762\) | −2.19917 | + | 2.53798i | −0.0796675 | + | 0.0919412i | ||||
\(763\) | 9.98506 | + | 6.41701i | 0.361483 | + | 0.232311i | ||||
\(764\) | 10.5542 | − | 73.4060i | 0.381837 | − | 2.65573i | ||||
\(765\) | −0.591699 | + | 0.380262i | −0.0213929 | + | 0.0137484i | ||||
\(766\) | 27.6144 | + | 60.4672i | 0.997750 | + | 2.18477i | ||||
\(767\) | 14.6572 | + | 16.9153i | 0.529242 | + | 0.610778i | ||||
\(768\) | −4.52519 | − | 31.4734i | −0.163289 | − | 1.13570i | ||||
\(769\) | 6.21928 | − | 13.6183i | 0.224273 | − | 0.491089i | −0.763728 | − | 0.645538i | \(-0.776633\pi\) |
0.988001 | + | 0.154449i | \(0.0493603\pi\) | |||||||
\(770\) | 29.9519 | − | 8.79468i | 1.07939 | − | 0.316938i | ||||
\(771\) | 3.57009 | − | 1.04827i | 0.128574 | − | 0.0377527i | ||||
\(772\) | −25.3625 | + | 55.5362i | −0.912817 | + | 1.99879i | ||||
\(773\) | 4.82857 | + | 33.5834i | 0.173672 | + | 1.20791i | 0.871045 | + | 0.491204i | \(0.163443\pi\) |
−0.697373 | + | 0.716708i | \(0.745648\pi\) | |||||||
\(774\) | 0.983863 | + | 1.13544i | 0.0353642 | + | 0.0408125i | ||||
\(775\) | −0.873403 | − | 1.91249i | −0.0313736 | − | 0.0686985i | ||||
\(776\) | 41.0741 | − | 26.3967i | 1.47447 | − | 0.947586i | ||||
\(777\) | 1.19523 | − | 8.31303i | 0.0428788 | − | 0.298228i | ||||
\(778\) | −67.8106 | − | 43.5792i | −2.43113 | − | 1.56239i | ||||
\(779\) | 7.20839 | − | 8.31893i | 0.258267 | − | 0.298056i | ||||
\(780\) | 10.7888 | + | 3.16788i | 0.386301 | + | 0.113428i | ||||
\(781\) | −30.7617 | −1.10074 | ||||||||
\(782\) | −8.65326 | − | 6.95795i | −0.309440 | − | 0.248816i | ||||
\(783\) | 7.41437 | 0.264968 | ||||||||
\(784\) | −93.6437 | − | 27.4963i | −3.34442 | − | 0.982010i | ||||
\(785\) | −1.72305 | + | 1.98851i | −0.0614984 | + | 0.0709729i | ||||
\(786\) | 7.25461 | + | 4.66225i | 0.258763 | + | 0.166297i | ||||
\(787\) | −3.92180 | + | 27.2767i | −0.139797 | + | 0.972311i | 0.792307 | + | 0.610122i | \(0.208880\pi\) |
−0.932105 | + | 0.362189i | \(0.882030\pi\) | |||||||
\(788\) | −11.1725 | + | 7.18012i | −0.398003 | + | 0.255781i | ||||
\(789\) | 7.67457 | + | 16.8050i | 0.273222 | + | 0.598273i | ||||
\(790\) | 13.2171 | + | 15.2534i | 0.470244 | + | 0.542690i | ||||
\(791\) | −6.35243 | − | 44.1821i | −0.225866 | − | 1.57094i | ||||
\(792\) | −8.15872 | + | 17.8651i | −0.289908 | + | 0.634809i | ||||
\(793\) | −19.2842 | + | 5.66234i | −0.684800 | + | 0.201076i | ||||
\(794\) | −44.1647 | + | 12.9679i | −1.56735 | + | 0.460215i | ||||
\(795\) | 0.0280798 | − | 0.0614862i | 0.000995889 | − | 0.00218069i | ||||
\(796\) | −9.68777 | − | 67.3799i | −0.343374 | − | 2.38822i | ||||
\(797\) | −0.630863 | − | 0.728055i | −0.0223463 | − | 0.0257890i | 0.744466 | − | 0.667660i | \(-0.232704\pi\) |
−0.766813 | + | 0.641871i | \(0.778159\pi\) | |||||||
\(798\) | 14.9415 | + | 32.7172i | 0.528922 | + | 1.15818i | ||||
\(799\) | 3.89690 | − | 2.50439i | 0.137862 | − | 0.0885988i | ||||
\(800\) | 2.16109 | − | 15.0307i | 0.0764059 | − | 0.531415i | ||||
\(801\) | 8.21387 | + | 5.27873i | 0.290223 | + | 0.186515i | ||||
\(802\) | −58.8433 | + | 67.9088i | −2.07783 | + | 2.39794i | ||||
\(803\) | −39.0477 | − | 11.4654i | −1.37796 | − | 0.404607i | ||||
\(804\) | 43.2282 | 1.52454 | ||||||||
\(805\) | −13.7632 | − | 11.0668i | −0.485089 | − | 0.390053i | ||||
\(806\) | −4.08127 | −0.143756 | ||||||||
\(807\) | 7.16771 | + | 2.10463i | 0.252315 | + | 0.0740865i | ||||
\(808\) | 16.8668 | − | 19.4653i | 0.593370 | − | 0.684786i | ||||
\(809\) | −11.3145 | − | 7.27141i | −0.397798 | − | 0.255649i | 0.326414 | − | 0.945227i | \(-0.394160\pi\) |
−0.724212 | + | 0.689578i | \(0.757796\pi\) | |||||||
\(810\) | 0.273100 | − | 1.89945i | 0.00959576 | − | 0.0667400i | ||||
\(811\) | 20.0794 | − | 12.9043i | 0.705085 | − | 0.453130i | −0.138335 | − | 0.990385i | \(-0.544175\pi\) |
0.843420 | + | 0.537255i | \(0.180539\pi\) | |||||||
\(812\) | 64.1280 | + | 140.421i | 2.25045 | + | 4.92780i | ||||
\(813\) | 16.6817 | + | 19.2517i | 0.585053 | + | 0.675187i | ||||
\(814\) | −2.10073 | − | 14.6109i | −0.0736305 | − | 0.512111i | ||||
\(815\) | −4.54061 | + | 9.94254i | −0.159051 | + | 0.348272i | ||||
\(816\) | 5.30470 | − | 1.55760i | 0.185702 | − | 0.0545269i | ||||
\(817\) | 1.70182 | − | 0.499700i | 0.0595393 | − | 0.0174823i | ||||
\(818\) | 11.5898 | − | 25.3780i | 0.405227 | − | 0.887323i | ||||
\(819\) | −2.34161 | − | 16.2863i | −0.0818226 | − | 0.569088i | ||||
\(820\) | −8.00737 | − | 9.24100i | −0.279630 | − | 0.322710i | ||||
\(821\) | 7.68700 | + | 16.8322i | 0.268278 | + | 0.587447i | 0.995044 | − | 0.0994386i | \(-0.0317047\pi\) |
−0.726766 | + | 0.686885i | \(0.758977\pi\) | |||||||
\(822\) | 8.60814 | − | 5.53211i | 0.300243 | − | 0.192955i | ||||
\(823\) | 0.236016 | − | 1.64153i | 0.00822701 | − | 0.0572201i | −0.985294 | − | 0.170865i | \(-0.945344\pi\) |
0.993521 | + | 0.113645i | \(0.0362528\pi\) | |||||||
\(824\) | 79.4099 | + | 51.0336i | 2.76637 | + | 1.77784i | ||||
\(825\) | 9.75593 | − | 11.2589i | 0.339658 | − | 0.391986i | ||||
\(826\) | 76.3090 | + | 22.4063i | 2.65513 | + | 0.779616i | ||||
\(827\) | −38.8604 | −1.35131 | −0.675654 | − | 0.737219i | \(-0.736139\pi\) | ||||
−0.675654 | + | 0.737219i | \(0.736139\pi\) | |||||||
\(828\) | 20.3701 | − | 3.69771i | 0.707908 | − | 0.128504i | ||||
\(829\) | −23.7245 | −0.823986 | −0.411993 | − | 0.911187i | \(-0.635167\pi\) | ||||
−0.411993 | + | 0.911187i | \(0.635167\pi\) | |||||||
\(830\) | 5.44487 | + | 1.59876i | 0.188994 | + | 0.0554937i | ||||
\(831\) | 20.5682 | − | 23.7370i | 0.713505 | − | 0.823428i | ||||
\(832\) | 9.65040 | + | 6.20194i | 0.334567 | + | 0.215013i | ||||
\(833\) | −2.13194 | + | 14.8279i | −0.0738672 | + | 0.513758i | ||||
\(834\) | −12.7145 | + | 8.17111i | −0.440267 | + | 0.282942i | ||||
\(835\) | 7.23466 | + | 15.8417i | 0.250366 | + | 0.548224i | ||||
\(836\) | 28.2907 | + | 32.6492i | 0.978454 | + | 1.12920i | ||||
\(837\) | 0.0677411 | + | 0.471149i | 0.00234147 | + | 0.0162853i | ||||
\(838\) | −39.7829 | + | 87.1123i | −1.37428 | + | 3.00924i | ||||
\(839\) | −12.0022 | + | 3.52417i | −0.414363 | + | 0.121668i | −0.482268 | − | 0.876024i | \(-0.660187\pi\) |
0.0679048 | + | 0.997692i | \(0.478369\pi\) | |||||||
\(840\) | 20.5748 | − | 6.04132i | 0.709900 | − | 0.208445i | ||||
\(841\) | 10.7895 | − | 23.6258i | 0.372053 | − | 0.814683i | ||||
\(842\) | −13.8896 | − | 96.6046i | −0.478669 | − | 3.32921i | ||||
\(843\) | −3.49726 | − | 4.03605i | −0.120452 | − | 0.139009i | ||||
\(844\) | −28.4067 | − | 62.2021i | −0.977800 | − | 2.14108i | ||||
\(845\) | 0.874724 | − | 0.562151i | 0.0300914 | − | 0.0193386i | ||||
\(846\) | −1.79862 | + | 12.5097i | −0.0618380 | + | 0.430093i | ||||
\(847\) | −1.52430 | − | 0.979609i | −0.0523756 | − | 0.0336597i | ||||
\(848\) | −0.347941 | + | 0.401545i | −0.0119483 | + | 0.0137891i | ||||
\(849\) | 16.5529 | + | 4.86037i | 0.568094 | + | 0.166807i | ||||
\(850\) | −10.2267 | −0.350772 | ||||||||
\(851\) | −6.10603 | + | 5.69714i | −0.209312 | + | 0.195296i | ||||
\(852\) | −39.3722 | −1.34887 | ||||||||
\(853\) | 7.10728 | + | 2.08689i | 0.243349 | + | 0.0714536i | 0.401132 | − | 0.916020i | \(-0.368617\pi\) |
−0.157784 | + | 0.987474i | \(0.550435\pi\) | |||||||
\(854\) | −46.7669 | + | 53.9719i | −1.60033 | + | 1.84688i | ||||
\(855\) | −1.90584 | − | 1.22481i | −0.0651782 | − | 0.0418875i | ||||
\(856\) | 5.26259 | − | 36.6021i | 0.179872 | − | 1.25103i | ||||
\(857\) | 30.3712 | − | 19.5184i | 1.03746 | − | 0.666734i | 0.0931019 | − | 0.995657i | \(-0.470322\pi\) |
0.944357 | + | 0.328922i | \(0.106685\pi\) | |||||||
\(858\) | −12.0133 | − | 26.3056i | −0.410129 | − | 0.898057i | ||||
\(859\) | −15.8185 | − | 18.2555i | −0.539721 | − | 0.622871i | 0.418736 | − | 0.908108i | \(-0.362473\pi\) |
−0.958457 | + | 0.285237i | \(0.907928\pi\) | |||||||
\(860\) | −0.280398 | − | 1.95021i | −0.00956149 | − | 0.0665016i | ||||
\(861\) | −7.43287 | + | 16.2757i | −0.253312 | + | 0.554675i | ||||
\(862\) | −32.6243 | + | 9.57936i | −1.11119 | + | 0.326274i | ||||
\(863\) | 51.9206 | − | 15.2453i | 1.76740 | − | 0.518955i | 0.773951 | − | 0.633245i | \(-0.218277\pi\) |
0.993447 | + | 0.114290i | \(0.0364593\pi\) | |||||||
\(864\) | −1.42815 | + | 3.12721i | −0.0485866 | + | 0.106390i | ||||
\(865\) | −0.180662 | − | 1.25653i | −0.00614270 | − | 0.0427234i | ||||
\(866\) | 1.71220 | + | 1.97598i | 0.0581828 | + | 0.0671465i | ||||
\(867\) | 6.70953 | + | 14.6918i | 0.227868 | + | 0.498961i | ||||
\(868\) | −8.33719 | + | 5.35798i | −0.282983 | + | 0.181862i | ||||
\(869\) | 5.04841 | − | 35.1125i | 0.171256 | − | 1.19111i | ||||
\(870\) | −11.9694 | − | 7.69228i | −0.405801 | − | 0.260793i | ||||
\(871\) | −22.3712 | + | 25.8178i | −0.758020 | + | 0.874802i | ||||
\(872\) | 13.7497 | + | 4.03729i | 0.465625 | + | 0.136720i | ||||
\(873\) | 8.38474 | 0.283781 | ||||||||
\(874\) | 8.80764 | − | 34.6630i | 0.297923 | − | 1.17249i | ||||
\(875\) | −34.6783 | −1.17234 | ||||||||
\(876\) | −49.9776 | − | 14.6747i | −1.68859 | − | 0.495814i | ||||
\(877\) | 5.97534 | − | 6.89591i | 0.201773 | − | 0.232858i | −0.645841 | − | 0.763472i | \(-0.723493\pi\) |
0.847614 | + | 0.530614i | \(0.178038\pi\) | |||||||
\(878\) | −85.3679 | − | 54.8626i | −2.88103 | − | 1.85152i | ||||
\(879\) | −4.68417 | + | 32.5791i | −0.157993 | + | 1.09887i | ||||
\(880\) | 13.0018 | − | 8.35573i | 0.438290 | − | 0.281672i | ||||
\(881\) | 11.9030 | + | 26.0638i | 0.401021 | + | 0.878113i | 0.997166 | + | 0.0752364i | \(0.0239711\pi\) |
−0.596145 | + | 0.802877i | \(0.703302\pi\) | |||||||
\(882\) | −26.7652 | − | 30.8887i | −0.901232 | − | 1.04008i | ||||
\(883\) | 6.00432 | + | 41.7610i | 0.202061 | + | 1.40537i | 0.798154 | + | 0.602453i | \(0.205810\pi\) |
−0.596093 | + | 0.802915i | \(0.703281\pi\) | |||||||
\(884\) | −5.63567 | + | 12.3404i | −0.189548 | + | 0.415053i | ||||
\(885\) | −4.80644 | + | 1.41130i | −0.161567 | + | 0.0474403i | ||||
\(886\) | 13.6012 | − | 3.99366i | 0.456940 | − | 0.134170i | ||||
\(887\) | −10.7798 | + | 23.6045i | −0.361951 | + | 0.792562i | 0.637799 | + | 0.770203i | \(0.279845\pi\) |
−0.999750 | + | 0.0223595i | \(0.992882\pi\) | |||||||
\(888\) | −1.44305 | − | 10.0366i | −0.0484256 | − | 0.336807i | ||||
\(889\) | −4.22017 | − | 4.87034i | −0.141540 | − | 0.163346i | ||||
\(890\) | −7.78350 | − | 17.0435i | −0.260903 | − | 0.571299i | ||||
\(891\) | −2.83737 | + | 1.82347i | −0.0950554 | + | 0.0610884i | ||||
\(892\) | 10.3395 | − | 71.9125i | 0.346191 | − | 2.40781i | ||||
\(893\) | 12.5517 | + | 8.06651i | 0.420028 | + | 0.269936i | ||||
\(894\) | −25.0011 | + | 28.8528i | −0.836161 | + | 0.964982i | ||||
\(895\) | 17.8569 | + | 5.24326i | 0.596891 | + | 0.175263i | ||||
\(896\) | 73.9236 | 2.46962 | ||||||||
\(897\) | −8.33337 | + | 14.0795i | −0.278243 | + | 0.470101i | ||||
\(898\) | 51.5199 | 1.71924 | ||||||||
\(899\) | 3.38624 | + | 0.994290i | 0.112938 | + | 0.0331614i | ||||
\(900\) | 12.4867 | − | 14.4104i | 0.416224 | − | 0.480348i | ||||
\(901\) | 0.0686074 | + | 0.0440913i | 0.00228564 | + | 0.00146889i | ||||
\(902\) | −4.47550 | + | 31.1278i | −0.149018 | + | 1.03644i | ||||
\(903\) | −2.42541 | + | 1.55871i | −0.0807125 | + | 0.0518708i | ||||
\(904\) | −22.3872 | − | 49.0212i | −0.744588 | − | 1.63042i | ||||
\(905\) | −5.29739 | − | 6.11351i | −0.176091 | − | 0.203220i | ||||
\(906\) | −0.214173 | − | 1.48961i | −0.00711542 | − | 0.0494888i | ||||
\(907\) | −6.99794 | + | 15.3233i | −0.232363 | + | 0.508803i | −0.989514 | − | 0.144436i | \(-0.953863\pi\) |
0.757151 | + | 0.653239i | \(0.226590\pi\) | |||||||
\(908\) | 89.2034 | − | 26.1925i | 2.96032 | − | 0.869228i | ||||
\(909\) | 4.24398 | − | 1.24614i | 0.140764 | − | 0.0413320i | ||||
\(910\) | −13.1165 | + | 28.7212i | −0.434809 | + | 0.952098i | ||||
\(911\) | 0.482231 | + | 3.35399i | 0.0159770 | + | 0.111123i | 0.996249 | − | 0.0865292i | \(-0.0275776\pi\) |
−0.980272 | + | 0.197652i | \(0.936668\pi\) | |||||||
\(912\) | 11.6614 | + | 13.4580i | 0.386149 | + | 0.445640i | ||||
\(913\) | −4.14328 | − | 9.07253i | −0.137123 | − | 0.300257i | ||||
\(914\) | 22.0279 | − | 14.1565i | 0.728620 | − | 0.468256i | ||||
\(915\) | 0.640159 | − | 4.45240i | 0.0211630 | − | 0.147192i | ||||
\(916\) | −2.05738 | − | 1.32220i | −0.0679776 | − | 0.0436866i | ||||
\(917\) | −10.8370 | + | 12.5065i | −0.357868 | + | 0.413002i | ||||
\(918\) | 2.22150 | + | 0.652290i | 0.0733203 | + | 0.0215288i | ||||
\(919\) | 29.9775 | 0.988867 | 0.494434 | − | 0.869215i | \(-0.335376\pi\) | ||||
0.494434 | + | 0.869215i | \(0.335376\pi\) | |||||||
\(920\) | −19.7081 | − | 8.13861i | −0.649756 | − | 0.268322i | ||||
\(921\) | −17.3904 | −0.573033 | ||||||||
\(922\) | 42.4233 | + | 12.4566i | 1.39714 | + | 0.410236i | ||||
\(923\) | 20.3757 | − | 23.5148i | 0.670675 | − | 0.774001i | ||||
\(924\) | −59.0754 | − | 37.9654i | −1.94344 | − | 1.24897i | ||||
\(925\) | −1.09461 | + | 7.61321i | −0.0359907 | + | 0.250321i | ||||
\(926\) | −11.0252 | + | 7.08544i | −0.362309 | + | 0.232842i | ||||
\(927\) | 6.73409 | + | 14.7456i | 0.221176 | + | 0.484309i | ||||
\(928\) | 16.6922 | + | 19.2639i | 0.547949 | + | 0.632367i | ||||
\(929\) | −8.15732 | − | 56.7354i | −0.267633 | − | 1.86143i | −0.470741 | − | 0.882272i | \(-0.656013\pi\) |
0.203108 | − | 0.979156i | \(-0.434896\pi\) | |||||||
\(930\) | 0.379451 | − | 0.830882i | 0.0124427 | − | 0.0272457i | ||||
\(931\) | −46.2967 | + | 13.5940i | −1.51731 | + | 0.445524i | ||||
\(932\) | −33.3601 | + | 9.79540i | −1.09275 | + | 0.320859i | ||||
\(933\) | 4.64393 | − | 10.1688i | 0.152035 | − | 0.332911i | ||||
\(934\) | 0.0899075 | + | 0.625320i | 0.00294186 | + | 0.0204611i | ||||
\(935\) | −1.55350 | − | 1.79284i | −0.0508049 | − | 0.0586320i | ||||
\(936\) | −8.25231 | − | 18.0700i | −0.269735 | − | 0.590638i | ||||
\(937\) | −21.1351 | + | 13.5827i | −0.690453 | + | 0.443727i | −0.838247 | − | 0.545291i | \(-0.816419\pi\) |
0.147794 | + | 0.989018i | \(0.452783\pi\) | |||||||
\(938\) | −17.2752 | + | 120.151i | −0.564054 | + | 3.92308i | ||||
\(939\) | −24.1690 | − | 15.5325i | −0.788727 | − | 0.506884i | ||||
\(940\) | 10.8537 | − | 12.5258i | 0.354009 | − | 0.408548i | ||||
\(941\) | 12.2897 | + | 3.60857i | 0.400632 | + | 0.117636i | 0.475840 | − | 0.879532i | \(-0.342144\pi\) |
−0.0752086 | + | 0.997168i | \(0.523962\pi\) | |||||||
\(942\) | 8.66122 | 0.282198 | ||||||||
\(943\) | 15.9012 | − | 7.98089i | 0.517814 | − | 0.259893i | ||||
\(944\) | 39.3755 | 1.28156 | ||||||||
\(945\) | 3.53334 | + | 1.03748i | 0.114940 | + | 0.0337493i | ||||
\(946\) | −3.31836 | + | 3.82959i | −0.107889 | + | 0.124511i | ||||
\(947\) | 10.1103 | + | 6.49749i | 0.328541 | + | 0.211140i | 0.694504 | − | 0.719489i | \(-0.255624\pi\) |
−0.365963 | + | 0.930629i | \(0.619260\pi\) | |||||||
\(948\) | 6.46152 | − | 44.9408i | 0.209860 | − | 1.45961i | ||||
\(949\) | 34.6286 | − | 22.2544i | 1.12409 | − | 0.722409i | ||||
\(950\) | −13.6836 | − | 29.9630i | −0.443956 | − | 0.972127i | ||||
\(951\) | −12.3485 | − | 14.2510i | −0.400428 | − | 0.462119i | ||||
\(952\) | 3.68194 | + | 25.6085i | 0.119332 | + | 0.829975i | ||||
\(953\) | 10.7991 | − | 23.6467i | 0.349817 | − | 0.765992i | −0.650164 | − | 0.759794i | \(-0.725300\pi\) |
0.999981 | − | 0.00619817i | \(-0.00197295\pi\) | |||||||
\(954\) | −0.213493 | + | 0.0626872i | −0.00691209 | + | 0.00202957i | ||||
\(955\) | −12.5855 | + | 3.69542i | −0.407256 | + | 0.119581i | ||||
\(956\) | −12.3888 | + | 27.1277i | −0.400683 | + | 0.877373i | ||||
\(957\) | 3.55888 | + | 24.7526i | 0.115042 | + | 0.800136i | ||||
\(958\) | 51.7827 | + | 59.7604i | 1.67302 | + | 1.93077i | ||||
\(959\) | 8.15711 | + | 17.8616i | 0.263407 | + | 0.576781i | ||||
\(960\) | −2.15985 | + | 1.38805i | −0.0697089 | + | 0.0447992i | ||||
\(961\) | 4.37952 | − | 30.4602i | 0.141275 | − | 0.982587i | ||||
\(962\) | 12.5603 | + | 8.07202i | 0.404960 | + | 0.260252i | ||||
\(963\) | 4.15860 | − | 4.79928i | 0.134009 | − | 0.154655i | ||||
\(964\) | 1.37027 | + | 0.402348i | 0.0441335 | + | 0.0129588i | ||||
\(965\) | 10.7985 | 0.347616 | ||||||||
\(966\) | 2.13725 | + | 58.0956i | 0.0687648 | + | 1.86920i | ||||
\(967\) | 36.2438 | 1.16552 | 0.582760 | − | 0.812644i | \(-0.301973\pi\) | ||||
0.582760 | + | 0.812644i | \(0.301973\pi\) | |||||||
\(968\) | −2.09901 | − | 0.616324i | −0.0674647 | − | 0.0198094i | ||||
\(969\) | 1.78994 | − | 2.06571i | 0.0575013 | − | 0.0663600i | ||||
\(970\) | −13.5359 | − | 8.69902i | −0.434613 | − | 0.279309i | ||||
\(971\) | 4.45032 | − | 30.9526i | 0.142817 | − | 0.993317i | −0.784790 | − | 0.619761i | \(-0.787229\pi\) |
0.927608 | − | 0.373556i | \(-0.121862\pi\) | |||||||
\(972\) | −3.63158 | + | 2.33387i | −0.116483 | + | 0.0748590i | ||||
\(973\) | −12.0483 | − | 26.3821i | −0.386251 | − | 0.845772i | ||||
\(974\) | 6.04353 | + | 6.97460i | 0.193647 | + | 0.223481i | ||||
\(975\) | 2.14449 | + | 14.9152i | 0.0686785 | + | 0.477670i | ||||
\(976\) | −14.6881 | + | 32.1624i | −0.470153 | + | 1.02949i | ||||
\(977\) | −20.5363 | + | 6.02999i | −0.657013 | + | 0.192917i | −0.593212 | − | 0.805046i | \(-0.702141\pi\) |
−0.0638011 | + | 0.997963i | \(0.520322\pi\) | |||||||
\(978\) | 34.5226 | − | 10.1367i | 1.10391 | − | 0.324137i | ||||
\(979\) | −13.6802 | + | 29.9554i | −0.437220 | + | 0.957379i | ||||
\(980\) | 7.62800 | + | 53.0539i | 0.243668 | + | 1.69474i | ||||
\(981\) | 1.61157 | + | 1.85986i | 0.0514536 | + | 0.0593806i | ||||
\(982\) | 17.0069 | + | 37.2399i | 0.542712 | + | 1.18837i | ||||
\(983\) | −46.3451 | + | 29.7842i | −1.47818 | + | 0.949968i | −0.480860 | + | 0.876798i | \(0.659675\pi\) |
−0.997319 | + | 0.0731704i | \(0.976688\pi\) | |||||||
\(984\) | −3.07435 | + | 21.3826i | −0.0980067 | + | 0.681651i | ||||
\(985\) | 1.97607 | + | 1.26994i | 0.0629629 | + | 0.0404638i | ||||
\(986\) | 11.2416 | − | 12.9735i | 0.358005 | − | 0.413159i | ||||
\(987\) | −23.2704 | − | 6.83281i | −0.740705 | − | 0.217491i | ||||
\(988\) | −43.6967 | −1.39018 | ||||||||
\(989\) | 2.85071 | + | 0.303392i | 0.0906474 | + | 0.00964732i | ||||
\(990\) | 6.47233 | 0.205704 | ||||||||
\(991\) | −33.8884 | − | 9.95053i | −1.07650 | − | 0.316089i | −0.305022 | − | 0.952345i | \(-0.598664\pi\) |
−0.771478 | + | 0.636256i | \(0.780482\pi\) | |||||||
\(992\) | −1.07162 | + | 1.23672i | −0.0340240 | + | 0.0392658i | ||||
\(993\) | 7.26426 | + | 4.66846i | 0.230524 | + | 0.148149i | ||||
\(994\) | 15.7342 | − | 109.434i | 0.499059 | − | 3.47103i | ||||
\(995\) | −10.1287 | + | 6.50931i | −0.321101 | + | 0.206359i | ||||
\(996\) | −5.30303 | − | 11.6120i | −0.168033 | − | 0.367941i | ||||
\(997\) | 7.79466 | + | 8.99552i | 0.246859 | + | 0.284891i | 0.865634 | − | 0.500678i | \(-0.166916\pi\) |
−0.618774 | + | 0.785569i | \(0.712370\pi\) | |||||||
\(998\) | −6.92292 | − | 48.1499i | −0.219141 | − | 1.52416i | ||||
\(999\) | 0.723373 | − | 1.58397i | 0.0228865 | − | 0.0501145i |
(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 | 69.2.e.a.64.1 | yes | 10 | |
3.2 | odd | 2 | 207.2.i.b.64.1 | 10 | |||
23.3 | even | 11 | 1587.2.a.o.1.5 | 5 | |||
23.9 | even | 11 | inner | 69.2.e.a.55.1 | ✓ | 10 | |
23.20 | odd | 22 | 1587.2.a.p.1.5 | 5 | |||
69.20 | even | 22 | 4761.2.a.bq.1.1 | 5 | |||
69.26 | odd | 22 | 4761.2.a.br.1.1 | 5 | |||
69.32 | odd | 22 | 207.2.i.b.55.1 | 10 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
69.2.e.a.55.1 | ✓ | 10 | 23.9 | even | 11 | inner | |
69.2.e.a.64.1 | yes | 10 | 1.1 | even | 1 | trivial | |
207.2.i.b.55.1 | 10 | 69.32 | odd | 22 | |||
207.2.i.b.64.1 | 10 | 3.2 | odd | 2 | |||
1587.2.a.o.1.5 | 5 | 23.3 | even | 11 | |||
1587.2.a.p.1.5 | 5 | 23.20 | odd | 22 | |||
4761.2.a.bq.1.1 | 5 | 69.20 | even | 22 | |||
4761.2.a.br.1.1 | 5 | 69.26 | odd | 22 |