Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [637,2,Mod(79,637)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(637, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("637.79");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 637 = 7^{2} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 637.e (of order \(3\), degree \(2\), not 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: | \(5.08647060876\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 2 x^{11} + 9 x^{10} - 6 x^{9} + 34 x^{8} - 18 x^{7} + 85 x^{6} - 2 x^{5} + 92 x^{4} - 26 x^{3} + \cdots + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 79.1 | ||
Root | \(0.379209 - 0.656810i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 637.79 |
Dual form | 637.2.e.o.508.1 |
$q$-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 \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(248\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.09161 | + | 1.89072i | −0.771885 | + | 1.33694i | 0.164644 | + | 0.986353i | \(0.447352\pi\) |
−0.936529 | + | 0.350591i | \(0.885981\pi\) | |||||||
\(3\) | 0.879209 | + | 1.52284i | 0.507612 | + | 0.879209i | 0.999961 | + | 0.00881173i | \(0.00280490\pi\) |
−0.492349 | + | 0.870398i | \(0.663862\pi\) | |||||||
\(4\) | −1.38322 | − | 2.39581i | −0.691612 | − | 1.19791i | ||||
\(5\) | 1.05533 | − | 1.82788i | 0.471957 | − | 0.817453i | −0.527529 | − | 0.849537i | \(-0.676881\pi\) |
0.999485 | + | 0.0320846i | \(0.0102146\pi\) | |||||||
\(6\) | −3.83901 | −1.56727 | ||||||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 1.67333 | 0.591610 | ||||||||
\(9\) | −0.0460183 | + | 0.0797060i | −0.0153394 | + | 0.0265687i | ||||
\(10\) | 2.30401 | + | 3.99066i | 0.728592 | + | 1.26196i | ||||
\(11\) | 2.88445 | + | 4.99601i | 0.869694 | + | 1.50635i | 0.862310 | + | 0.506381i | \(0.169017\pi\) |
0.00738342 | + | 0.999973i | \(0.497650\pi\) | |||||||
\(12\) | 2.43229 | − | 4.21285i | 0.702141 | − | 1.21614i | ||||
\(13\) | −1.00000 | −0.277350 | ||||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 3.71141 | 0.958283 | ||||||||
\(16\) | 0.939830 | − | 1.62783i | 0.234957 | − | 0.406958i | ||||
\(17\) | 0.820411 | + | 1.42099i | 0.198979 | + | 0.344642i | 0.948198 | − | 0.317681i | \(-0.102904\pi\) |
−0.749219 | + | 0.662323i | \(0.769571\pi\) | |||||||
\(18\) | −0.100468 | − | 0.174016i | −0.0236805 | − | 0.0410159i | ||||
\(19\) | −1.33538 | + | 2.31295i | −0.306358 | + | 0.530628i | −0.977563 | − | 0.210644i | \(-0.932444\pi\) |
0.671205 | + | 0.741272i | \(0.265777\pi\) | |||||||
\(20\) | −5.83901 | −1.30564 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −12.5948 | −2.68521 | ||||||||
\(23\) | −3.21234 | + | 5.56394i | −0.669820 | + | 1.16016i | 0.308134 | + | 0.951343i | \(0.400295\pi\) |
−0.977954 | + | 0.208820i | \(0.933038\pi\) | |||||||
\(24\) | 1.47120 | + | 2.54820i | 0.300308 | + | 0.520149i | ||||
\(25\) | 0.272571 | + | 0.472106i | 0.0545141 | + | 0.0944212i | ||||
\(26\) | 1.09161 | − | 1.89072i | 0.214082 | − | 0.370801i | ||||
\(27\) | 5.11342 | 0.984078 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −6.04973 | −1.12341 | −0.561704 | − | 0.827338i | \(-0.689854\pi\) | ||||
−0.561704 | + | 0.827338i | \(0.689854\pi\) | |||||||
\(30\) | −4.05142 | + | 7.01726i | −0.739684 | + | 1.28117i | ||||
\(31\) | 2.56101 | + | 4.43580i | 0.459971 | + | 0.796693i | 0.998959 | − | 0.0456207i | \(-0.0145266\pi\) |
−0.538988 | + | 0.842313i | \(0.681193\pi\) | |||||||
\(32\) | 3.72518 | + | 6.45220i | 0.658525 | + | 1.14060i | ||||
\(33\) | −5.07207 | + | 8.78508i | −0.882933 | + | 1.52929i | ||||
\(34\) | −3.58227 | −0.614355 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0.254614 | 0.0424357 | ||||||||
\(37\) | −2.87386 | + | 4.97767i | −0.472460 | + | 0.818324i | −0.999503 | − | 0.0315141i | \(-0.989967\pi\) |
0.527044 | + | 0.849838i | \(0.323300\pi\) | |||||||
\(38\) | −2.91544 | − | 5.04968i | −0.472946 | − | 0.819167i | ||||
\(39\) | −0.879209 | − | 1.52284i | −0.140786 | − | 0.243849i | ||||
\(40\) | 1.76591 | − | 3.05864i | 0.279214 | − | 0.483613i | ||||
\(41\) | 7.14100 | 1.11524 | 0.557619 | − | 0.830097i | \(-0.311715\pi\) | ||||
0.557619 | + | 0.830097i | \(0.311715\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −4.47061 | −0.681761 | −0.340881 | − | 0.940107i | \(-0.610725\pi\) | ||||
−0.340881 | + | 0.940107i | \(0.610725\pi\) | |||||||
\(44\) | 7.97967 | − | 13.8212i | 1.20298 | − | 2.08362i | ||||
\(45\) | 0.0971286 | + | 0.168232i | 0.0144791 | + | 0.0250785i | ||||
\(46\) | −7.01325 | − | 12.1473i | −1.03405 | − | 1.79102i | ||||
\(47\) | 5.89550 | − | 10.2113i | 0.859947 | − | 1.48947i | −0.0120319 | − | 0.999928i | \(-0.503830\pi\) |
0.871979 | − | 0.489544i | \(-0.162837\pi\) | |||||||
\(48\) | 3.30523 | 0.477069 | ||||||||
\(49\) | 0 | 0 | ||||||||
\(50\) | −1.19016 | −0.168314 | ||||||||
\(51\) | −1.44263 | + | 2.49870i | −0.202008 | + | 0.349888i | ||||
\(52\) | 1.38322 | + | 2.39581i | 0.191819 | + | 0.332240i | ||||
\(53\) | −1.72480 | − | 2.98744i | −0.236919 | − | 0.410356i | 0.722910 | − | 0.690943i | \(-0.242804\pi\) |
−0.959829 | + | 0.280587i | \(0.909471\pi\) | |||||||
\(54\) | −5.58186 | + | 9.66806i | −0.759595 | + | 1.31566i | ||||
\(55\) | 12.1761 | 1.64183 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −4.69633 | −0.622044 | ||||||||
\(58\) | 6.60395 | − | 11.4384i | 0.867141 | − | 1.50193i | ||||
\(59\) | 6.59027 | + | 11.4147i | 0.857981 | + | 1.48607i | 0.873852 | + | 0.486192i | \(0.161614\pi\) |
−0.0158712 | + | 0.999874i | \(0.505052\pi\) | |||||||
\(60\) | −5.13372 | − | 8.89186i | −0.662760 | − | 1.14793i | ||||
\(61\) | 3.12333 | − | 5.40976i | 0.399901 | − | 0.692649i | −0.593812 | − | 0.804604i | \(-0.702378\pi\) |
0.993713 | + | 0.111954i | \(0.0357111\pi\) | |||||||
\(62\) | −11.1825 | −1.42018 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −12.5065 | −1.56331 | ||||||||
\(65\) | −1.05533 | + | 1.82788i | −0.130897 | + | 0.226721i | ||||
\(66\) | −11.0734 | − | 19.1798i | −1.36305 | − | 2.36086i | ||||
\(67\) | −3.87108 | − | 6.70491i | −0.472928 | − | 0.819135i | 0.526592 | − | 0.850118i | \(-0.323470\pi\) |
−0.999520 | + | 0.0309831i | \(0.990136\pi\) | |||||||
\(68\) | 2.26962 | − | 3.93111i | 0.275232 | − | 0.476717i | ||||
\(69\) | −11.2973 | −1.36003 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 13.6372 | 1.61844 | 0.809221 | − | 0.587504i | \(-0.199889\pi\) | ||||
0.809221 | + | 0.587504i | \(0.199889\pi\) | |||||||
\(72\) | −0.0770035 | + | 0.133374i | −0.00907495 | + | 0.0157183i | ||||
\(73\) | −7.75204 | − | 13.4269i | −0.907308 | − | 1.57150i | −0.817789 | − | 0.575518i | \(-0.804800\pi\) |
−0.0895192 | − | 0.995985i | \(-0.528533\pi\) | |||||||
\(74\) | −6.27427 | − | 10.8673i | −0.729369 | − | 1.26330i | ||||
\(75\) | −0.479293 | + | 0.830160i | −0.0553440 | + | 0.0958586i | ||||
\(76\) | 7.38854 | 0.847524 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 3.83901 | 0.434683 | ||||||||
\(79\) | −0.561071 | + | 0.971803i | −0.0631254 | + | 0.109336i | −0.895861 | − | 0.444335i | \(-0.853440\pi\) |
0.832735 | + | 0.553671i | \(0.186773\pi\) | |||||||
\(80\) | −1.98366 | − | 3.43579i | −0.221779 | − | 0.384133i | ||||
\(81\) | 4.63382 | + | 8.02601i | 0.514869 | + | 0.891779i | ||||
\(82\) | −7.79519 | + | 13.5017i | −0.860835 | + | 1.49101i | ||||
\(83\) | −4.96925 | −0.545446 | −0.272723 | − | 0.962093i | \(-0.587924\pi\) | ||||
−0.272723 | + | 0.962093i | \(0.587924\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 3.46321 | 0.375638 | ||||||||
\(86\) | 4.88016 | − | 8.45269i | 0.526241 | − | 0.911476i | ||||
\(87\) | −5.31898 | − | 9.21275i | −0.570255 | − | 0.987710i | ||||
\(88\) | 4.82662 | + | 8.35995i | 0.514519 | + | 0.891174i | ||||
\(89\) | 0.573148 | − | 0.992721i | 0.0607535 | − | 0.105228i | −0.834049 | − | 0.551691i | \(-0.813983\pi\) |
0.894802 | + | 0.446462i | \(0.147316\pi\) | |||||||
\(90\) | −0.424106 | −0.0447047 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 17.7736 | 1.85302 | ||||||||
\(93\) | −4.50333 | + | 7.79999i | −0.466973 | + | 0.808821i | ||||
\(94\) | 12.8712 | + | 22.2935i | 1.32756 | + | 2.29940i | ||||
\(95\) | 2.81853 | + | 4.88184i | 0.289175 | + | 0.500866i | ||||
\(96\) | −6.55043 | + | 11.3457i | −0.668550 | + | 1.15796i | ||||
\(97\) | 6.97223 | 0.707923 | 0.353961 | − | 0.935260i | \(-0.384834\pi\) | ||||
0.353961 | + | 0.935260i | \(0.384834\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −0.530949 | −0.0533624 | ||||||||
\(100\) | 0.754052 | − | 1.30606i | 0.0754052 | − | 0.130606i | ||||
\(101\) | −3.24960 | − | 5.62847i | −0.323347 | − | 0.560053i | 0.657829 | − | 0.753167i | \(-0.271475\pi\) |
−0.981176 | + | 0.193113i | \(0.938141\pi\) | |||||||
\(102\) | −3.14957 | − | 5.45521i | −0.311854 | − | 0.540147i | ||||
\(103\) | −0.289024 | + | 0.500604i | −0.0284784 | + | 0.0493260i | −0.879913 | − | 0.475134i | \(-0.842400\pi\) |
0.851435 | + | 0.524460i | \(0.175733\pi\) | |||||||
\(104\) | −1.67333 | −0.164083 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 7.53122 | 0.731497 | ||||||||
\(107\) | 8.12863 | − | 14.0792i | 0.785824 | − | 1.36109i | −0.142681 | − | 0.989769i | \(-0.545572\pi\) |
0.928505 | − | 0.371319i | \(-0.121094\pi\) | |||||||
\(108\) | −7.07300 | − | 12.2508i | −0.680600 | − | 1.17883i | ||||
\(109\) | −0.890953 | − | 1.54318i | −0.0853378 | − | 0.147809i | 0.820197 | − | 0.572081i | \(-0.193864\pi\) |
−0.905535 | + | 0.424271i | \(0.860530\pi\) | |||||||
\(110\) | −13.2916 | + | 23.0217i | −1.26730 | + | 2.19503i | ||||
\(111\) | −10.1069 | −0.959304 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −7.52215 | −0.707624 | −0.353812 | − | 0.935316i | \(-0.615115\pi\) | ||||
−0.353812 | + | 0.935316i | \(0.615115\pi\) | |||||||
\(114\) | 5.12656 | − | 8.87946i | 0.480146 | − | 0.831638i | ||||
\(115\) | 6.78015 | + | 11.7436i | 0.632252 | + | 1.09509i | ||||
\(116\) | 8.36814 | + | 14.4940i | 0.776962 | + | 1.34574i | ||||
\(117\) | 0.0460183 | − | 0.0797060i | 0.00425439 | − | 0.00736882i | ||||
\(118\) | −28.7760 | −2.64905 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 6.21040 | 0.566930 | ||||||||
\(121\) | −11.1401 | + | 19.2952i | −1.01273 | + | 1.75411i | ||||
\(122\) | 6.81891 | + | 11.8107i | 0.617355 | + | 1.06929i | ||||
\(123\) | 6.27844 | + | 10.8746i | 0.566108 | + | 0.980527i | ||||
\(124\) | 7.08490 | − | 12.2714i | 0.636243 | − | 1.10200i | ||||
\(125\) | 11.7039 | 1.04683 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −19.3056 | −1.71310 | −0.856549 | − | 0.516067i | \(-0.827396\pi\) | ||||
−0.856549 | + | 0.516067i | \(0.827396\pi\) | |||||||
\(128\) | 6.20181 | − | 10.7418i | 0.548168 | − | 0.949454i | ||||
\(129\) | −3.93060 | − | 6.80800i | −0.346070 | − | 0.599411i | ||||
\(130\) | −2.30401 | − | 3.99066i | −0.202075 | − | 0.350004i | ||||
\(131\) | 4.84852 | − | 8.39788i | 0.423617 | − | 0.733726i | −0.572673 | − | 0.819784i | \(-0.694094\pi\) |
0.996290 | + | 0.0860579i | \(0.0274270\pi\) | |||||||
\(132\) | 28.0632 | 2.44259 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 16.9028 | 1.46018 | ||||||||
\(135\) | 5.39633 | − | 9.34671i | 0.464442 | − | 0.804437i | ||||
\(136\) | 1.37281 | + | 2.37778i | 0.117718 | + | 0.203893i | ||||
\(137\) | 7.72467 | + | 13.3795i | 0.659963 | + | 1.14309i | 0.980625 | + | 0.195895i | \(0.0627613\pi\) |
−0.320662 | + | 0.947194i | \(0.603905\pi\) | |||||||
\(138\) | 12.3322 | − | 21.3601i | 1.04979 | − | 1.81829i | ||||
\(139\) | −3.84912 | −0.326478 | −0.163239 | − | 0.986587i | \(-0.552194\pi\) | ||||
−0.163239 | + | 0.986587i | \(0.552194\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 20.7335 | 1.74608 | ||||||||
\(142\) | −14.8865 | + | 25.7842i | −1.24925 | + | 2.16377i | ||||
\(143\) | −2.88445 | − | 4.99601i | −0.241210 | − | 0.417787i | ||||
\(144\) | 0.0864987 | + | 0.149820i | 0.00720822 | + | 0.0124850i | ||||
\(145\) | −6.38445 | + | 11.0582i | −0.530199 | + | 0.918332i | ||||
\(146\) | 33.8488 | 2.80135 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 15.9008 | 1.30704 | ||||||||
\(149\) | 0.520140 | − | 0.900909i | 0.0426115 | − | 0.0738054i | −0.843933 | − | 0.536449i | \(-0.819766\pi\) |
0.886545 | + | 0.462643i | \(0.153099\pi\) | |||||||
\(150\) | −1.04640 | − | 1.81242i | −0.0854384 | − | 0.147984i | ||||
\(151\) | 2.17168 | + | 3.76146i | 0.176729 | + | 0.306104i | 0.940758 | − | 0.339078i | \(-0.110115\pi\) |
−0.764029 | + | 0.645182i | \(0.776782\pi\) | |||||||
\(152\) | −2.23453 | + | 3.87032i | −0.181244 | + | 0.313925i | ||||
\(153\) | −0.151016 | −0.0122089 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 10.8108 | 0.868345 | ||||||||
\(156\) | −2.43229 | + | 4.21285i | −0.194739 | + | 0.337298i | ||||
\(157\) | 0.168000 | + | 0.290985i | 0.0134079 | + | 0.0232231i | 0.872651 | − | 0.488343i | \(-0.162399\pi\) |
−0.859244 | + | 0.511567i | \(0.829065\pi\) | |||||||
\(158\) | −1.22494 | − | 2.12166i | −0.0974511 | − | 0.168790i | ||||
\(159\) | 3.03291 | − | 5.25316i | 0.240526 | − | 0.416603i | ||||
\(160\) | 15.7251 | 1.24318 | ||||||||
\(161\) | 0 | 0 | ||||||||
\(162\) | −20.2333 | −1.58968 | ||||||||
\(163\) | −3.39959 | + | 5.88827i | −0.266277 | + | 0.461205i | −0.967897 | − | 0.251346i | \(-0.919127\pi\) |
0.701621 | + | 0.712551i | \(0.252460\pi\) | |||||||
\(164\) | −9.87761 | − | 17.1085i | −0.771312 | − | 1.33595i | ||||
\(165\) | 10.7054 | + | 18.5423i | 0.833412 | + | 1.44351i | ||||
\(166\) | 5.42448 | − | 9.39548i | 0.421022 | − | 0.729231i | ||||
\(167\) | −0.668649 | −0.0517416 | −0.0258708 | − | 0.999665i | \(-0.508236\pi\) | ||||
−0.0258708 | + | 0.999665i | \(0.508236\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 1.00000 | 0.0769231 | ||||||||
\(170\) | −3.78047 | + | 6.54797i | −0.289949 | + | 0.502206i | ||||
\(171\) | −0.122904 | − | 0.212876i | −0.00939871 | − | 0.0162790i | ||||
\(172\) | 6.18385 | + | 10.7107i | 0.471514 | + | 0.816687i | ||||
\(173\) | 12.5589 | − | 21.7527i | 0.954837 | − | 1.65383i | 0.220095 | − | 0.975478i | \(-0.429363\pi\) |
0.734741 | − | 0.678347i | \(-0.237303\pi\) | |||||||
\(174\) | 23.2250 | 1.76068 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 10.8436 | 0.817364 | ||||||||
\(177\) | −11.5885 | + | 20.0718i | −0.871042 | + | 1.50869i | ||||
\(178\) | 1.25131 | + | 2.16733i | 0.0937895 | + | 0.162448i | ||||
\(179\) | 0.947633 | + | 1.64135i | 0.0708294 | + | 0.122680i | 0.899265 | − | 0.437404i | \(-0.144102\pi\) |
−0.828436 | + | 0.560084i | \(0.810769\pi\) | |||||||
\(180\) | 0.268701 | − | 0.465404i | 0.0200278 | − | 0.0346892i | ||||
\(181\) | −11.3595 | −0.844347 | −0.422174 | − | 0.906515i | \(-0.638733\pi\) | ||||
−0.422174 | + | 0.906515i | \(0.638733\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 10.9842 | 0.811978 | ||||||||
\(184\) | −5.37530 | + | 9.31029i | −0.396272 | + | 0.686364i | ||||
\(185\) | 6.06572 | + | 10.5061i | 0.445961 | + | 0.772427i | ||||
\(186\) | −9.83175 | − | 17.0291i | −0.720899 | − | 1.24863i | ||||
\(187\) | −4.73286 | + | 8.19756i | −0.346101 | + | 0.599465i | ||||
\(188\) | −32.6192 | −2.37900 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −12.3070 | −0.892840 | ||||||||
\(191\) | 11.7203 | − | 20.3002i | 0.848055 | − | 1.46887i | −0.0348873 | − | 0.999391i | \(-0.511107\pi\) |
0.882942 | − | 0.469482i | \(-0.155559\pi\) | |||||||
\(192\) | −10.9958 | − | 19.0453i | −0.793553 | − | 1.37447i | ||||
\(193\) | 0.926048 | + | 1.60396i | 0.0666584 | + | 0.115456i | 0.897428 | − | 0.441160i | \(-0.145433\pi\) |
−0.830770 | + | 0.556616i | \(0.812100\pi\) | |||||||
\(194\) | −7.61095 | + | 13.1826i | −0.546435 | + | 0.946453i | ||||
\(195\) | −3.71141 | −0.265780 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −9.87082 | −0.703267 | −0.351634 | − | 0.936138i | \(-0.614374\pi\) | ||||
−0.351634 | + | 0.936138i | \(0.614374\pi\) | |||||||
\(198\) | 0.579589 | − | 1.00388i | 0.0411896 | − | 0.0713425i | ||||
\(199\) | 6.12461 | + | 10.6081i | 0.434162 | + | 0.751991i | 0.997227 | − | 0.0744219i | \(-0.0237111\pi\) |
−0.563065 | + | 0.826413i | \(0.690378\pi\) | |||||||
\(200\) | 0.456099 | + | 0.789987i | 0.0322511 | + | 0.0558605i | ||||
\(201\) | 6.80698 | − | 11.7900i | 0.480127 | − | 0.831605i | ||||
\(202\) | 14.1892 | 0.998347 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 7.98190 | 0.558845 | ||||||||
\(205\) | 7.53609 | − | 13.0529i | 0.526343 | − | 0.911654i | ||||
\(206\) | −0.631003 | − | 1.09293i | −0.0439640 | − | 0.0761480i | ||||
\(207\) | −0.295653 | − | 0.512086i | −0.0205493 | − | 0.0355924i | ||||
\(208\) | −0.939830 | + | 1.62783i | −0.0651655 | + | 0.112870i | ||||
\(209\) | −15.4074 | −1.06575 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −0.739899 | −0.0509368 | −0.0254684 | − | 0.999676i | \(-0.508108\pi\) | ||||
−0.0254684 | + | 0.999676i | \(0.508108\pi\) | |||||||
\(212\) | −4.77156 | + | 8.26459i | −0.327712 | + | 0.567614i | ||||
\(213\) | 11.9900 | + | 20.7673i | 0.821540 | + | 1.42295i | ||||
\(214\) | 17.7466 | + | 30.7380i | 1.21313 | + | 2.10121i | ||||
\(215\) | −4.71795 | + | 8.17173i | −0.321762 | + | 0.557308i | ||||
\(216\) | 8.55641 | 0.582190 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 3.89029 | 0.263484 | ||||||||
\(219\) | 13.6313 | − | 23.6102i | 0.921120 | − | 1.59543i | ||||
\(220\) | −16.8423 | − | 29.1718i | −1.13551 | − | 1.96676i | ||||
\(221\) | −0.820411 | − | 1.42099i | −0.0551868 | − | 0.0955864i | ||||
\(222\) | 11.0328 | − | 19.1094i | 0.740472 | − | 1.28254i | ||||
\(223\) | −8.30577 | −0.556196 | −0.278098 | − | 0.960553i | \(-0.589704\pi\) | ||||
−0.278098 | + | 0.960553i | \(0.589704\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −0.0501729 | −0.00334486 | ||||||||
\(226\) | 8.21125 | − | 14.2223i | 0.546205 | − | 0.946054i | ||||
\(227\) | 6.64583 | + | 11.5109i | 0.441099 | + | 0.764006i | 0.997771 | − | 0.0667264i | \(-0.0212555\pi\) |
−0.556672 | + | 0.830732i | \(0.687922\pi\) | |||||||
\(228\) | 6.49607 | + | 11.2515i | 0.430213 | + | 0.745151i | ||||
\(229\) | 8.96033 | − | 15.5197i | 0.592115 | − | 1.02557i | −0.401832 | − | 0.915714i | \(-0.631626\pi\) |
0.993947 | − | 0.109860i | \(-0.0350404\pi\) | |||||||
\(230\) | −29.6051 | −1.95210 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −10.1232 | −0.664619 | ||||||||
\(233\) | −3.14984 | + | 5.45568i | −0.206353 | + | 0.357413i | −0.950563 | − | 0.310532i | \(-0.899493\pi\) |
0.744210 | + | 0.667946i | \(0.232826\pi\) | |||||||
\(234\) | 0.100468 | + | 0.174016i | 0.00656780 | + | 0.0113758i | ||||
\(235\) | −12.4434 | − | 21.5525i | −0.811715 | − | 1.40593i | ||||
\(236\) | 18.2317 | − | 31.5782i | 1.18678 | − | 2.05556i | ||||
\(237\) | −1.97320 | −0.128173 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 9.41783 | 0.609189 | 0.304594 | − | 0.952482i | \(-0.401479\pi\) | ||||
0.304594 | + | 0.952482i | \(0.401479\pi\) | |||||||
\(240\) | 3.48810 | − | 6.04156i | 0.225156 | − | 0.389981i | ||||
\(241\) | −9.97465 | − | 17.2766i | −0.642524 | − | 1.11288i | −0.984867 | − | 0.173309i | \(-0.944554\pi\) |
0.342344 | − | 0.939575i | \(-0.388779\pi\) | |||||||
\(242\) | −24.3212 | − | 42.1256i | −1.56343 | − | 2.70794i | ||||
\(243\) | −0.478069 | + | 0.828039i | −0.0306681 | + | 0.0531187i | ||||
\(244\) | −17.2811 | −1.10631 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −27.4144 | −1.74788 | ||||||||
\(247\) | 1.33538 | − | 2.31295i | 0.0849684 | − | 0.147170i | ||||
\(248\) | 4.28540 | + | 7.42253i | 0.272123 | + | 0.471331i | ||||
\(249\) | −4.36901 | − | 7.56735i | −0.276875 | − | 0.479561i | ||||
\(250\) | −12.7761 | + | 22.1288i | −0.808029 | + | 1.39955i | ||||
\(251\) | −1.22202 | −0.0771330 | −0.0385665 | − | 0.999256i | \(-0.512279\pi\) | ||||
−0.0385665 | + | 0.999256i | \(0.512279\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −37.0633 | −2.33015 | ||||||||
\(254\) | 21.0742 | − | 36.5016i | 1.32231 | − | 2.29031i | ||||
\(255\) | 3.04488 | + | 5.27389i | 0.190678 | + | 0.330264i | ||||
\(256\) | 1.03346 | + | 1.79000i | 0.0645911 | + | 0.111875i | ||||
\(257\) | −11.2120 | + | 19.4198i | −0.699386 | + | 1.21137i | 0.269294 | + | 0.963058i | \(0.413210\pi\) |
−0.968680 | + | 0.248313i | \(0.920124\pi\) | |||||||
\(258\) | 17.1627 | 1.06850 | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 5.83901 | 0.362120 | ||||||||
\(261\) | 0.278398 | − | 0.482200i | 0.0172324 | − | 0.0298474i | ||||
\(262\) | 10.5854 | + | 18.3344i | 0.653967 | + | 1.13270i | ||||
\(263\) | −4.49524 | − | 7.78598i | −0.277188 | − | 0.480104i | 0.693497 | − | 0.720460i | \(-0.256069\pi\) |
−0.970685 | + | 0.240356i | \(0.922736\pi\) | |||||||
\(264\) | −8.48722 | + | 14.7003i | −0.522352 | + | 0.904740i | ||||
\(265\) | −7.28090 | −0.447262 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 2.01567 | 0.123357 | ||||||||
\(268\) | −10.7091 | + | 18.5488i | −0.654165 | + | 1.13305i | ||||
\(269\) | −11.1027 | − | 19.2305i | −0.676945 | − | 1.17250i | −0.975896 | − | 0.218235i | \(-0.929970\pi\) |
0.298951 | − | 0.954268i | \(-0.403363\pi\) | |||||||
\(270\) | 11.7814 | + | 20.4059i | 0.716991 | + | 1.24187i | ||||
\(271\) | −5.42116 | + | 9.38972i | −0.329312 | + | 0.570385i | −0.982375 | − | 0.186918i | \(-0.940150\pi\) |
0.653064 | + | 0.757303i | \(0.273483\pi\) | |||||||
\(272\) | 3.08419 | 0.187006 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −33.7293 | −2.03766 | ||||||||
\(275\) | −1.57243 | + | 2.72353i | −0.0948211 | + | 0.164235i | ||||
\(276\) | 15.6267 | + | 27.0662i | 0.940616 | + | 1.62920i | ||||
\(277\) | −2.94414 | − | 5.09940i | −0.176896 | − | 0.306393i | 0.763920 | − | 0.645311i | \(-0.223272\pi\) |
−0.940816 | + | 0.338918i | \(0.889939\pi\) | |||||||
\(278\) | 4.20173 | − | 7.27762i | 0.252003 | − | 0.436482i | ||||
\(279\) | −0.471413 | −0.0282227 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 26.9071 | 1.60514 | 0.802572 | − | 0.596556i | \(-0.203465\pi\) | ||||
0.802572 | + | 0.596556i | \(0.203465\pi\) | |||||||
\(282\) | −22.6329 | + | 39.2013i | −1.34777 | + | 2.33441i | ||||
\(283\) | −1.74859 | − | 3.02864i | −0.103943 | − | 0.180034i | 0.809363 | − | 0.587309i | \(-0.199813\pi\) |
−0.913306 | + | 0.407275i | \(0.866479\pi\) | |||||||
\(284\) | −18.8634 | − | 32.6723i | −1.11933 | − | 1.93874i | ||||
\(285\) | −4.95616 | + | 8.58432i | −0.293578 | + | 0.508491i | ||||
\(286\) | 12.5948 | 0.744744 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | −0.685705 | −0.0404056 | ||||||||
\(289\) | 7.15385 | − | 12.3908i | 0.420815 | − | 0.728873i | ||||
\(290\) | −13.9387 | − | 24.1425i | −0.818506 | − | 1.41769i | ||||
\(291\) | 6.13005 | + | 10.6176i | 0.359350 | + | 0.622412i | ||||
\(292\) | −21.4456 | + | 37.1449i | −1.25501 | + | 2.17374i | ||||
\(293\) | −1.00509 | −0.0587179 | −0.0293589 | − | 0.999569i | \(-0.509347\pi\) | ||||
−0.0293589 | + | 0.999569i | \(0.509347\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 27.8196 | 1.61972 | ||||||||
\(296\) | −4.80890 | + | 8.32926i | −0.279512 | + | 0.484129i | ||||
\(297\) | 14.7494 | + | 25.5467i | 0.855846 | + | 1.48237i | ||||
\(298\) | 1.13558 | + | 1.96688i | 0.0657824 | + | 0.113938i | ||||
\(299\) | 3.21234 | − | 5.56394i | 0.185775 | − | 0.321771i | ||||
\(300\) | 2.65188 | 0.153106 | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | −9.48252 | −0.545657 | ||||||||
\(303\) | 5.71415 | − | 9.89720i | 0.328270 | − | 0.568579i | ||||
\(304\) | 2.51007 | + | 4.34756i | 0.143962 | + | 0.249350i | ||||
\(305\) | −6.59227 | − | 11.4181i | −0.377472 | − | 0.653801i | ||||
\(306\) | 0.164850 | − | 0.285529i | 0.00942385 | − | 0.0163226i | ||||
\(307\) | −4.25772 | −0.243001 | −0.121501 | − | 0.992591i | \(-0.538771\pi\) | ||||
−0.121501 | + | 0.992591i | \(0.538771\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −1.01645 | −0.0578238 | ||||||||
\(310\) | −11.8012 | + | 20.4402i | −0.670262 | + | 1.16093i | ||||
\(311\) | −3.47022 | − | 6.01059i | −0.196778 | − | 0.340829i | 0.750704 | − | 0.660639i | \(-0.229714\pi\) |
−0.947482 | + | 0.319809i | \(0.896381\pi\) | |||||||
\(312\) | −1.47120 | − | 2.54820i | −0.0832905 | − | 0.144263i | ||||
\(313\) | −4.98150 | + | 8.62820i | −0.281571 | + | 0.487695i | −0.971772 | − | 0.235923i | \(-0.924189\pi\) |
0.690201 | + | 0.723618i | \(0.257522\pi\) | |||||||
\(314\) | −0.733563 | −0.0413973 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 3.10435 | 0.174633 | ||||||||
\(317\) | −1.87673 | + | 3.25058i | −0.105407 | + | 0.182571i | −0.913905 | − | 0.405929i | \(-0.866948\pi\) |
0.808497 | + | 0.588500i | \(0.200281\pi\) | |||||||
\(318\) | 6.62152 | + | 11.4688i | 0.371316 | + | 0.643139i | ||||
\(319\) | −17.4501 | − | 30.2245i | −0.977020 | − | 1.69225i | ||||
\(320\) | −13.1984 | + | 22.8603i | −0.737813 | + | 1.27793i | ||||
\(321\) | 28.5871 | 1.59557 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −4.38225 | −0.243835 | ||||||||
\(324\) | 12.8192 | − | 22.2035i | 0.712179 | − | 1.23353i | ||||
\(325\) | −0.272571 | − | 0.472106i | −0.0151195 | − | 0.0261877i | ||||
\(326\) | −7.42206 | − | 12.8554i | −0.411070 | − | 0.711994i | ||||
\(327\) | 1.56667 | − | 2.71355i | 0.0866370 | − | 0.150060i | ||||
\(328\) | 11.9492 | 0.659785 | ||||||||
\(329\) | 0 | 0 | ||||||||
\(330\) | −46.7444 | −2.57319 | ||||||||
\(331\) | 9.99061 | − | 17.3043i | 0.549134 | − | 0.951128i | −0.449200 | − | 0.893431i | \(-0.648291\pi\) |
0.998334 | − | 0.0576966i | \(-0.0183756\pi\) | |||||||
\(332\) | 6.87359 | + | 11.9054i | 0.377237 | + | 0.653394i | ||||
\(333\) | −0.264500 | − | 0.458128i | −0.0144945 | − | 0.0251052i | ||||
\(334\) | 0.729904 | − | 1.26423i | 0.0399385 | − | 0.0691756i | ||||
\(335\) | −16.3410 | −0.892805 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 18.4887 | 1.00714 | 0.503571 | − | 0.863954i | \(-0.332019\pi\) | ||||
0.503571 | + | 0.863954i | \(0.332019\pi\) | |||||||
\(338\) | −1.09161 | + | 1.89072i | −0.0593757 | + | 0.102842i | ||||
\(339\) | −6.61355 | − | 11.4550i | −0.359198 | − | 0.622150i | ||||
\(340\) | −4.79039 | − | 8.29720i | −0.259795 | − | 0.449979i | ||||
\(341\) | −14.7742 | + | 25.5896i | −0.800067 | + | 1.38576i | ||||
\(342\) | 0.536653 | 0.0290189 | ||||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | −7.48078 | −0.403337 | ||||||||
\(345\) | −11.9223 | + | 20.6501i | −0.641877 | + | 1.11176i | ||||
\(346\) | 27.4189 | + | 47.4909i | 1.47405 | + | 2.55313i | ||||
\(347\) | 0.398050 | + | 0.689443i | 0.0213684 | + | 0.0370112i | 0.876512 | − | 0.481380i | \(-0.159864\pi\) |
−0.855143 | + | 0.518391i | \(0.826531\pi\) | |||||||
\(348\) | −14.7147 | + | 25.4866i | −0.788790 | + | 1.36622i | ||||
\(349\) | 11.3725 | 0.608754 | 0.304377 | − | 0.952552i | \(-0.401552\pi\) | ||||
0.304377 | + | 0.952552i | \(0.401552\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −5.11342 | −0.272934 | ||||||||
\(352\) | −21.4902 | + | 37.2221i | −1.14543 | + | 1.98394i | ||||
\(353\) | 12.0534 | + | 20.8771i | 0.641537 | + | 1.11117i | 0.985090 | + | 0.172041i | \(0.0550361\pi\) |
−0.343553 | + | 0.939133i | \(0.611631\pi\) | |||||||
\(354\) | −25.3002 | − | 43.8212i | −1.34469 | − | 2.32907i | ||||
\(355\) | 14.3917 | − | 24.9272i | 0.763834 | − | 1.32300i | ||||
\(356\) | −3.17117 | −0.168072 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −4.13778 | −0.218689 | ||||||||
\(359\) | −4.53591 | + | 7.85642i | −0.239396 | + | 0.414646i | −0.960541 | − | 0.278138i | \(-0.910283\pi\) |
0.721145 | + | 0.692784i | \(0.243616\pi\) | |||||||
\(360\) | 0.162528 | + | 0.281506i | 0.00856597 | + | 0.0148367i | ||||
\(361\) | 5.93350 | + | 10.2771i | 0.312289 | + | 0.540901i | ||||
\(362\) | 12.4002 | − | 21.4777i | 0.651739 | − | 1.12884i | ||||
\(363\) | −39.1778 | −2.05630 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −32.7238 | −1.71284 | ||||||||
\(366\) | −11.9905 | + | 20.7682i | −0.626754 | + | 1.08557i | ||||
\(367\) | −15.7754 | − | 27.3237i | −0.823467 | − | 1.42629i | −0.903085 | − | 0.429462i | \(-0.858703\pi\) |
0.0796176 | − | 0.996825i | \(-0.474630\pi\) | |||||||
\(368\) | 6.03811 | + | 10.4583i | 0.314758 | + | 0.545178i | ||||
\(369\) | −0.328617 | + | 0.569181i | −0.0171071 | + | 0.0296304i | ||||
\(370\) | −26.4856 | −1.37692 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 24.9164 | 1.29186 | ||||||||
\(373\) | 8.02905 | − | 13.9067i | 0.415728 | − | 0.720063i | −0.579776 | − | 0.814776i | \(-0.696860\pi\) |
0.995505 | + | 0.0947130i | \(0.0301933\pi\) | |||||||
\(374\) | −10.3329 | − | 17.8971i | −0.534301 | − | 0.925436i | ||||
\(375\) | 10.2902 | + | 17.8231i | 0.531381 | + | 0.920379i | ||||
\(376\) | 9.86509 | − | 17.0868i | 0.508753 | − | 0.881186i | ||||
\(377\) | 6.04973 | 0.311577 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −5.36895 | −0.275785 | −0.137892 | − | 0.990447i | \(-0.544033\pi\) | ||||
−0.137892 | + | 0.990447i | \(0.544033\pi\) | |||||||
\(380\) | 7.79733 | − | 13.5054i | 0.399994 | − | 0.692811i | ||||
\(381\) | −16.9737 | − | 29.3993i | −0.869588 | − | 1.50617i | ||||
\(382\) | 25.5881 | + | 44.3199i | 1.30920 | + | 2.26760i | ||||
\(383\) | 17.2537 | − | 29.8843i | 0.881625 | − | 1.52702i | 0.0320905 | − | 0.999485i | \(-0.489784\pi\) |
0.849534 | − | 0.527534i | \(-0.176883\pi\) | |||||||
\(384\) | 21.8108 | 1.11303 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −4.04353 | −0.205810 | ||||||||
\(387\) | 0.205730 | − | 0.356334i | 0.0104578 | − | 0.0181135i | ||||
\(388\) | −9.64416 | − | 16.7042i | −0.489608 | − | 0.848026i | ||||
\(389\) | −11.4605 | − | 19.8501i | −0.581070 | − | 1.00644i | −0.995353 | − | 0.0962942i | \(-0.969301\pi\) |
0.414283 | − | 0.910148i | \(-0.364032\pi\) | |||||||
\(390\) | 4.05142 | − | 7.01726i | 0.205151 | − | 0.355333i | ||||
\(391\) | −10.5418 | −0.533120 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 17.0514 | 0.860131 | ||||||||
\(394\) | 10.7751 | − | 18.6630i | 0.542841 | − | 0.940228i | ||||
\(395\) | 1.18423 | + | 2.05114i | 0.0595849 | + | 0.103204i | ||||
\(396\) | 0.734421 | + | 1.27206i | 0.0369061 | + | 0.0639232i | ||||
\(397\) | 5.41468 | − | 9.37850i | 0.271755 | − | 0.470694i | −0.697556 | − | 0.716530i | \(-0.745729\pi\) |
0.969311 | + | 0.245836i | \(0.0790626\pi\) | |||||||
\(398\) | −26.7427 | −1.34049 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 1.02468 | 0.0512340 | ||||||||
\(401\) | −18.7708 | + | 32.5119i | −0.937367 | + | 1.62357i | −0.167010 | + | 0.985955i | \(0.553411\pi\) |
−0.770357 | + | 0.637613i | \(0.779922\pi\) | |||||||
\(402\) | 14.8611 | + | 25.7402i | 0.741206 | + | 1.28381i | ||||
\(403\) | −2.56101 | − | 4.43580i | −0.127573 | − | 0.220963i | ||||
\(404\) | −8.98984 | + | 15.5709i | −0.447261 | + | 0.774680i | ||||
\(405\) | 19.5608 | 0.971983 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −33.1580 | −1.64358 | ||||||||
\(408\) | −2.41398 | + | 4.18114i | −0.119510 | + | 0.206997i | ||||
\(409\) | −10.2363 | − | 17.7299i | −0.506155 | − | 0.876686i | −0.999975 | − | 0.00712174i | \(-0.997733\pi\) |
0.493820 | − | 0.869564i | \(-0.335600\pi\) | |||||||
\(410\) | 16.4529 | + | 28.4973i | 0.812553 | + | 1.40738i | ||||
\(411\) | −13.5832 | + | 23.5268i | −0.670010 | + | 1.16049i | ||||
\(412\) | 1.59914 | 0.0787840 | ||||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 1.29095 | 0.0634468 | ||||||||
\(415\) | −5.24418 | + | 9.08319i | −0.257427 | + | 0.445876i | ||||
\(416\) | −3.72518 | − | 6.45220i | −0.182642 | − | 0.316345i | ||||
\(417\) | −3.38418 | − | 5.86157i | −0.165724 | − | 0.287042i | ||||
\(418\) | 16.8188 | − | 29.1311i | 0.822637 | − | 1.42485i | ||||
\(419\) | 15.4980 | 0.757127 | 0.378564 | − | 0.925575i | \(-0.376418\pi\) | ||||
0.378564 | + | 0.925575i | \(0.376418\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 17.9390 | 0.874293 | 0.437147 | − | 0.899390i | \(-0.355989\pi\) | ||||
0.437147 | + | 0.899390i | \(0.355989\pi\) | |||||||
\(422\) | 0.807681 | − | 1.39894i | 0.0393173 | − | 0.0680996i | ||||
\(423\) | 0.542601 | + | 0.939813i | 0.0263822 | + | 0.0456953i | ||||
\(424\) | −2.88615 | − | 4.99895i | −0.140164 | − | 0.242771i | ||||
\(425\) | −0.447240 | + | 0.774642i | −0.0216943 | + | 0.0375757i | ||||
\(426\) | −52.3535 | −2.53654 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | −44.9749 | −2.17394 | ||||||||
\(429\) | 5.07207 | − | 8.78508i | 0.244882 | − | 0.424147i | ||||
\(430\) | −10.3003 | − | 17.8407i | −0.496726 | − | 0.860354i | ||||
\(431\) | −10.7219 | − | 18.5709i | −0.516456 | − | 0.894529i | −0.999817 | − | 0.0191077i | \(-0.993917\pi\) |
0.483361 | − | 0.875421i | \(-0.339416\pi\) | |||||||
\(432\) | 4.80574 | − | 8.32379i | 0.231216 | − | 0.400479i | ||||
\(433\) | 14.9365 | 0.717800 | 0.358900 | − | 0.933376i | \(-0.383152\pi\) | ||||
0.358900 | + | 0.933376i | \(0.383152\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −22.4531 | −1.07654 | ||||||||
\(436\) | −2.46478 | + | 4.26912i | −0.118041 | + | 0.204454i | ||||
\(437\) | −8.57943 | − | 14.8600i | −0.410410 | − | 0.710850i | ||||
\(438\) | 29.7602 | + | 51.5462i | 1.42200 | + | 2.46297i | ||||
\(439\) | −1.79661 | + | 3.11182i | −0.0857476 | + | 0.148519i | −0.905710 | − | 0.423899i | \(-0.860661\pi\) |
0.819962 | + | 0.572418i | \(0.193995\pi\) | |||||||
\(440\) | 20.3746 | 0.971323 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 3.58227 | 0.170391 | ||||||||
\(443\) | 6.82672 | − | 11.8242i | 0.324347 | − | 0.561786i | −0.657033 | − | 0.753862i | \(-0.728189\pi\) |
0.981380 | + | 0.192076i | \(0.0615221\pi\) | |||||||
\(444\) | 13.9801 | + | 24.2143i | 0.663466 | + | 1.14916i | ||||
\(445\) | −1.20972 | − | 2.09529i | −0.0573461 | − | 0.0993263i | ||||
\(446\) | 9.06666 | − | 15.7039i | 0.429319 | − | 0.743602i | ||||
\(447\) | 1.82925 | 0.0865205 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −8.72412 | −0.411717 | −0.205858 | − | 0.978582i | \(-0.565999\pi\) | ||||
−0.205858 | + | 0.978582i | \(0.565999\pi\) | |||||||
\(450\) | 0.0547692 | − | 0.0948631i | 0.00258185 | − | 0.00447189i | ||||
\(451\) | 20.5978 | + | 35.6765i | 0.969915 | + | 1.67994i | ||||
\(452\) | 10.4048 | + | 18.0217i | 0.489402 | + | 0.847668i | ||||
\(453\) | −3.81873 | + | 6.61423i | −0.179419 | + | 0.310763i | ||||
\(454\) | −29.0186 | −1.36191 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −7.85848 | −0.368007 | ||||||||
\(457\) | 15.2330 | − | 26.3843i | 0.712568 | − | 1.23420i | −0.251322 | − | 0.967904i | \(-0.580865\pi\) |
0.963890 | − | 0.266300i | \(-0.0858013\pi\) | |||||||
\(458\) | 19.5624 | + | 33.8830i | 0.914090 | + | 1.58325i | ||||
\(459\) | 4.19510 | + | 7.26613i | 0.195811 | + | 0.339154i | ||||
\(460\) | 18.7569 | − | 32.4879i | 0.874546 | − | 1.51476i | ||||
\(461\) | −5.22253 | −0.243237 | −0.121619 | − | 0.992577i | \(-0.538809\pi\) | ||||
−0.121619 | + | 0.992577i | \(0.538809\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 20.6220 | 0.958386 | 0.479193 | − | 0.877709i | \(-0.340929\pi\) | ||||
0.479193 | + | 0.877709i | \(0.340929\pi\) | |||||||
\(464\) | −5.68572 | + | 9.84796i | −0.263953 | + | 0.457180i | ||||
\(465\) | 9.50496 | + | 16.4631i | 0.440782 | + | 0.763457i | ||||
\(466\) | −6.87679 | − | 11.9109i | −0.318561 | − | 0.551764i | ||||
\(467\) | 0.835745 | − | 1.44755i | 0.0386737 | − | 0.0669848i | −0.846041 | − | 0.533118i | \(-0.821020\pi\) |
0.884714 | + | 0.466134i | \(0.154353\pi\) | |||||||
\(468\) | −0.254614 | −0.0117696 | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 54.3332 | 2.50620 | ||||||||
\(471\) | −0.295415 | + | 0.511673i | −0.0136120 | + | 0.0235767i | ||||
\(472\) | 11.0277 | + | 19.1005i | 0.507590 | + | 0.879171i | ||||
\(473\) | −12.8952 | − | 22.3352i | −0.592923 | − | 1.02697i | ||||
\(474\) | 2.15396 | − | 3.73077i | 0.0989346 | − | 0.171360i | ||||
\(475\) | −1.45595 | −0.0668034 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0.317489 | 0.0145368 | ||||||||
\(478\) | −10.2806 | + | 17.8065i | −0.470224 | + | 0.814451i | ||||
\(479\) | 5.32196 | + | 9.21790i | 0.243166 | + | 0.421177i | 0.961614 | − | 0.274404i | \(-0.0884806\pi\) |
−0.718448 | + | 0.695581i | \(0.755147\pi\) | |||||||
\(480\) | 13.8257 | + | 23.9468i | 0.631053 | + | 1.09302i | ||||
\(481\) | 2.87386 | − | 4.97767i | 0.131037 | − | 0.226962i | ||||
\(482\) | 43.5537 | 1.98382 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 61.6369 | 2.80168 | ||||||||
\(485\) | 7.35798 | − | 12.7444i | 0.334109 | − | 0.578693i | ||||
\(486\) | −1.04373 | − | 1.80779i | −0.0473445 | − | 0.0820031i | ||||
\(487\) | 15.9156 | + | 27.5667i | 0.721206 | + | 1.24916i | 0.960517 | + | 0.278222i | \(0.0897450\pi\) |
−0.239311 | + | 0.970943i | \(0.576922\pi\) | |||||||
\(488\) | 5.22635 | − | 9.05230i | 0.236586 | − | 0.409778i | ||||
\(489\) | −11.9558 | −0.540661 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 6.87077 | 0.310074 | 0.155037 | − | 0.987909i | \(-0.450450\pi\) | ||||
0.155037 | + | 0.987909i | \(0.450450\pi\) | |||||||
\(492\) | 17.3690 | − | 30.0839i | 0.783054 | − | 1.35629i | ||||
\(493\) | −4.96327 | − | 8.59663i | −0.223534 | − | 0.387173i | ||||
\(494\) | 2.91544 | + | 5.04968i | 0.131172 | + | 0.227196i | ||||
\(495\) | −0.560325 | + | 0.970511i | −0.0251847 | + | 0.0436212i | ||||
\(496\) | 9.62765 | 0.432294 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 19.0770 | 0.854862 | ||||||||
\(499\) | −0.172167 | + | 0.298203i | −0.00770727 | + | 0.0133494i | −0.869853 | − | 0.493310i | \(-0.835787\pi\) |
0.862146 | + | 0.506660i | \(0.169120\pi\) | |||||||
\(500\) | −16.1891 | − | 28.0403i | −0.723998 | − | 1.25400i | ||||
\(501\) | −0.587882 | − | 1.01824i | −0.0262646 | − | 0.0454917i | ||||
\(502\) | 1.33397 | − | 2.31050i | 0.0595378 | − | 0.103122i | ||||
\(503\) | −30.0808 | −1.34123 | −0.670617 | − | 0.741803i | \(-0.733971\pi\) | ||||
−0.670617 | + | 0.741803i | \(0.733971\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −13.7175 | −0.610423 | ||||||||
\(506\) | 40.4587 | − | 70.0766i | 1.79861 | − | 3.11528i | ||||
\(507\) | 0.879209 | + | 1.52284i | 0.0390471 | + | 0.0676315i | ||||
\(508\) | 26.7040 | + | 46.2527i | 1.18480 | + | 2.05213i | ||||
\(509\) | 16.6553 | − | 28.8478i | 0.738232 | − | 1.27865i | −0.215059 | − | 0.976601i | \(-0.568994\pi\) |
0.953291 | − | 0.302054i | \(-0.0976722\pi\) | |||||||
\(510\) | −13.2953 | −0.588726 | ||||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 20.2947 | 0.896908 | ||||||||
\(513\) | −6.82838 | + | 11.8271i | −0.301480 | + | 0.522179i | ||||
\(514\) | −24.4783 | − | 42.3976i | −1.07969 | − | 1.87008i | ||||
\(515\) | 0.610029 | + | 1.05660i | 0.0268811 | + | 0.0465594i | ||||
\(516\) | −10.8738 | + | 18.8340i | −0.478693 | + | 0.829120i | ||||
\(517\) | 68.0210 | 2.99156 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 44.1677 | 1.93875 | ||||||||
\(520\) | −1.76591 | + | 3.05864i | −0.0774401 | + | 0.134130i | ||||
\(521\) | 16.3863 | + | 28.3819i | 0.717897 | + | 1.24343i | 0.961831 | + | 0.273643i | \(0.0882286\pi\) |
−0.243934 | + | 0.969792i | \(0.578438\pi\) | |||||||
\(522\) | 0.607805 | + | 1.05275i | 0.0266029 | + | 0.0460775i | ||||
\(523\) | 12.6308 | − | 21.8772i | 0.552307 | − | 0.956623i | −0.445801 | − | 0.895132i | \(-0.647081\pi\) |
0.998108 | − | 0.0614909i | \(-0.0195855\pi\) | |||||||
\(524\) | −26.8263 | −1.17191 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 19.6282 | 0.855830 | ||||||||
\(527\) | −4.20216 | + | 7.27835i | −0.183049 | + | 0.317050i | ||||
\(528\) | 9.53376 | + | 16.5130i | 0.414904 | + | 0.718634i | ||||
\(529\) | −9.13831 | − | 15.8280i | −0.397318 | − | 0.688175i | ||||
\(530\) | 7.94790 | − | 13.7662i | 0.345235 | − | 0.597964i | ||||
\(531\) | −1.21309 | −0.0526437 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −7.14100 | −0.309311 | ||||||||
\(534\) | −2.20032 | + | 3.81107i | −0.0952173 | + | 0.164921i | ||||
\(535\) | −17.1567 | − | 29.7163i | −0.741750 | − | 1.28475i | ||||
\(536\) | −6.47758 | − | 11.2195i | −0.279789 | − | 0.484608i | ||||
\(537\) | −1.66634 | + | 2.88618i | −0.0719077 | + | 0.124548i | ||||
\(538\) | 48.4794 | 2.09009 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −29.8573 | −1.28485 | ||||||||
\(541\) | −6.58148 | + | 11.3995i | −0.282960 | + | 0.490101i | −0.972112 | − | 0.234515i | \(-0.924650\pi\) |
0.689152 | + | 0.724616i | \(0.257983\pi\) | |||||||
\(542\) | −11.8356 | − | 20.4998i | −0.508382 | − | 0.880543i | ||||
\(543\) | −9.98740 | − | 17.2987i | −0.428601 | − | 0.742358i | ||||
\(544\) | −6.11236 | + | 10.5869i | −0.262065 | + | 0.453910i | ||||
\(545\) | −3.76099 | −0.161103 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −2.79349 | −0.119441 | −0.0597204 | − | 0.998215i | \(-0.519021\pi\) | ||||
−0.0597204 | + | 0.998215i | \(0.519021\pi\) | |||||||
\(548\) | 21.3699 | − | 37.0137i | 0.912877 | − | 1.58115i | ||||
\(549\) | 0.287460 | + | 0.497896i | 0.0122685 | + | 0.0212497i | ||||
\(550\) | −3.43296 | − | 5.94606i | −0.146382 | − | 0.253541i | ||||
\(551\) | 8.07872 | − | 13.9927i | 0.344165 | − | 0.596111i | ||||
\(552\) | −18.9040 | −0.804610 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 12.8554 | 0.546174 | ||||||||
\(555\) | −10.6661 | + | 18.4742i | −0.452750 | + | 0.784186i | ||||
\(556\) | 5.32419 | + | 9.22177i | 0.225796 | + | 0.391090i | ||||
\(557\) | 2.30642 | + | 3.99484i | 0.0977262 | + | 0.169267i | 0.910743 | − | 0.412973i | \(-0.135510\pi\) |
−0.813017 | + | 0.582240i | \(0.802176\pi\) | |||||||
\(558\) | 0.514599 | − | 0.891311i | 0.0217847 | − | 0.0377322i | ||||
\(559\) | 4.47061 | 0.189087 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −16.6447 | −0.702740 | ||||||||
\(562\) | −29.3721 | + | 50.8739i | −1.23899 | + | 2.14599i | ||||
\(563\) | 20.1403 | + | 34.8840i | 0.848811 | + | 1.47018i | 0.882270 | + | 0.470743i | \(0.156014\pi\) |
−0.0334593 | + | 0.999440i | \(0.510652\pi\) | |||||||
\(564\) | −28.6791 | − | 49.6736i | −1.20761 | − | 2.09164i | ||||
\(565\) | −7.93833 | + | 13.7496i | −0.333968 | + | 0.578449i | ||||
\(566\) | 7.63510 | 0.320927 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 22.8195 | 0.957486 | ||||||||
\(569\) | −3.59934 | + | 6.23425i | −0.150892 | + | 0.261353i | −0.931556 | − | 0.363598i | \(-0.881548\pi\) |
0.780663 | + | 0.624952i | \(0.214881\pi\) | |||||||
\(570\) | −10.8204 | − | 18.7415i | −0.453216 | − | 0.784993i | ||||
\(571\) | −5.69101 | − | 9.85712i | −0.238161 | − | 0.412508i | 0.722025 | − | 0.691867i | \(-0.243211\pi\) |
−0.960187 | + | 0.279359i | \(0.909878\pi\) | |||||||
\(572\) | −7.97967 | + | 13.8212i | −0.333647 | + | 0.577893i | ||||
\(573\) | 41.2186 | 1.72193 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −3.50236 | −0.146059 | ||||||||
\(576\) | 0.575525 | − | 0.996839i | 0.0239802 | − | 0.0415350i | ||||
\(577\) | −17.8129 | − | 30.8528i | −0.741560 | − | 1.28442i | −0.951785 | − | 0.306766i | \(-0.900753\pi\) |
0.210225 | − | 0.977653i | \(-0.432580\pi\) | |||||||
\(578\) | 15.6184 | + | 27.0519i | 0.649641 | + | 1.12521i | ||||
\(579\) | −1.62838 | + | 2.82044i | −0.0676732 | + | 0.117213i | ||||
\(580\) | 35.3245 | 1.46677 | ||||||||
\(581\) | 0 | 0 | ||||||||
\(582\) | −26.7665 | −1.10951 | ||||||||
\(583\) | 9.95017 | − | 17.2342i | 0.412094 | − | 0.713768i | ||||
\(584\) | −12.9717 | − | 22.4676i | −0.536772 | − | 0.929717i | ||||
\(585\) | −0.0971286 | − | 0.168232i | −0.00401577 | − | 0.00695552i | ||||
\(586\) | 1.09716 | − | 1.90034i | 0.0453234 | − | 0.0785025i | ||||
\(587\) | −4.14755 | −0.171188 | −0.0855938 | − | 0.996330i | \(-0.527279\pi\) | ||||
−0.0855938 | + | 0.996330i | \(0.527279\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −13.6797 | −0.563663 | ||||||||
\(590\) | −30.3681 | + | 52.5991i | −1.25024 | + | 2.16547i | ||||
\(591\) | −8.67852 | − | 15.0316i | −0.356987 | − | 0.618319i | ||||
\(592\) | 5.40188 | + | 9.35633i | 0.222016 | + | 0.384543i | ||||
\(593\) | −12.0656 | + | 20.8983i | −0.495476 | + | 0.858190i | −0.999986 | − | 0.00521562i | \(-0.998340\pi\) |
0.504510 | + | 0.863406i | \(0.331673\pi\) | |||||||
\(594\) | −64.4023 | −2.64246 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −2.87788 | −0.117883 | ||||||||
\(597\) | −10.7696 | + | 18.6535i | −0.440772 | + | 0.763439i | ||||
\(598\) | 7.01325 | + | 12.1473i | 0.286793 | + | 0.496741i | ||||
\(599\) | 24.2803 | + | 42.0548i | 0.992068 | + | 1.71831i | 0.604896 | + | 0.796305i | \(0.293215\pi\) |
0.387172 | + | 0.922007i | \(0.373452\pi\) | |||||||
\(600\) | −0.802014 | + | 1.38913i | −0.0327421 | + | 0.0567109i | ||||
\(601\) | 33.2069 | 1.35454 | 0.677270 | − | 0.735735i | \(-0.263163\pi\) | ||||
0.677270 | + | 0.735735i | \(0.263163\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 0.712562 | 0.0290178 | ||||||||
\(604\) | 6.00785 | − | 10.4059i | 0.244456 | − | 0.423410i | ||||
\(605\) | 23.5128 | + | 40.7254i | 0.955932 | + | 1.65572i | ||||
\(606\) | 12.4753 | + | 21.6078i | 0.506772 | + | 0.877756i | ||||
\(607\) | −10.8973 | + | 18.8747i | −0.442308 | + | 0.766100i | −0.997860 | − | 0.0653815i | \(-0.979174\pi\) |
0.555552 | + | 0.831482i | \(0.312507\pi\) | |||||||
\(608\) | −19.8982 | −0.806978 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 28.7847 | 1.16546 | ||||||||
\(611\) | −5.89550 | + | 10.2113i | −0.238506 | + | 0.413105i | ||||
\(612\) | 0.208888 | + | 0.361805i | 0.00844381 | + | 0.0146251i | ||||
\(613\) | 11.3995 | + | 19.7446i | 0.460423 | + | 0.797476i | 0.998982 | − | 0.0451115i | \(-0.0143643\pi\) |
−0.538559 | + | 0.842588i | \(0.681031\pi\) | |||||||
\(614\) | 4.64777 | − | 8.05018i | 0.187569 | − | 0.324879i | ||||
\(615\) | 26.5032 | 1.06871 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −42.5433 | −1.71273 | −0.856364 | − | 0.516373i | \(-0.827282\pi\) | ||||
−0.856364 | + | 0.516373i | \(0.827282\pi\) | |||||||
\(618\) | 1.10957 | − | 1.92183i | 0.0446333 | − | 0.0773072i | ||||
\(619\) | −22.0642 | − | 38.2164i | −0.886836 | − | 1.53605i | −0.843594 | − | 0.536981i | \(-0.819565\pi\) |
−0.0432419 | − | 0.999065i | \(-0.513769\pi\) | |||||||
\(620\) | −14.9538 | − | 25.9007i | −0.600558 | − | 1.04020i | ||||
\(621\) | −16.4261 | + | 28.4508i | −0.659155 | + | 1.14169i | ||||
\(622\) | 15.1525 | 0.607559 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | −3.30523 | −0.132315 | ||||||||
\(625\) | 10.9886 | − | 19.0327i | 0.439542 | − | 0.761310i | ||||
\(626\) | −10.8757 | − | 18.8373i | −0.434680 | − | 0.752889i | ||||
\(627\) | −13.5463 | − | 23.4629i | −0.540987 | − | 0.937018i | ||||
\(628\) | 0.464764 | − | 0.804995i | 0.0185461 | − | 0.0321228i | ||||
\(629\) | −9.43098 | −0.376038 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 9.09226 | 0.361957 | 0.180979 | − | 0.983487i | \(-0.442074\pi\) | ||||
0.180979 | + | 0.983487i | \(0.442074\pi\) | |||||||
\(632\) | −0.938854 | + | 1.62614i | −0.0373456 | + | 0.0646845i | ||||
\(633\) | −0.650526 | − | 1.12674i | −0.0258561 | − | 0.0447841i | ||||
\(634\) | −4.09730 | − | 7.09674i | −0.162725 | − | 0.281847i | ||||
\(635\) | −20.3737 | + | 35.2884i | −0.808507 | + | 1.40038i | ||||
\(636\) | −16.7808 | −0.665402 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 76.1950 | 3.01659 | ||||||||
\(639\) | −0.627562 | + | 1.08697i | −0.0248260 | + | 0.0429998i | ||||
\(640\) | −13.0899 | − | 22.6723i | −0.517423 | − | 0.896202i | ||||
\(641\) | 11.3321 | + | 19.6278i | 0.447591 | + | 0.775250i | 0.998229 | − | 0.0594943i | \(-0.0189488\pi\) |
−0.550638 | + | 0.834744i | \(0.685615\pi\) | |||||||
\(642\) | −31.2059 | + | 54.0503i | −1.23160 | + | 2.13319i | ||||
\(643\) | −24.3792 | −0.961422 | −0.480711 | − | 0.876879i | \(-0.659621\pi\) | ||||
−0.480711 | + | 0.876879i | \(0.659621\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −16.5923 | −0.653320 | ||||||||
\(646\) | 4.78371 | − | 8.28563i | 0.188213 | − | 0.325994i | ||||
\(647\) | −18.5182 | − | 32.0745i | −0.728026 | − | 1.26098i | −0.957716 | − | 0.287715i | \(-0.907105\pi\) |
0.229690 | − | 0.973264i | \(-0.426229\pi\) | |||||||
\(648\) | 7.75389 | + | 13.4301i | 0.304601 | + | 0.527585i | ||||
\(649\) | −38.0186 | + | 65.8501i | −1.49236 | + | 2.58484i | ||||
\(650\) | 1.19016 | 0.0466820 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 18.8096 | 0.736641 | ||||||||
\(653\) | −9.36705 | + | 16.2242i | −0.366561 | + | 0.634902i | −0.989025 | − | 0.147746i | \(-0.952798\pi\) |
0.622464 | + | 0.782648i | \(0.286132\pi\) | |||||||
\(654\) | 3.42038 | + | 5.92428i | 0.133748 | + | 0.231658i | ||||
\(655\) | −10.2335 | − | 17.7250i | −0.399857 | − | 0.692573i | ||||
\(656\) | 6.71133 | − | 11.6244i | 0.262033 | − | 0.453855i | ||||
\(657\) | 1.42694 | 0.0556703 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −28.5206 | −1.11100 | −0.555502 | − | 0.831515i | \(-0.687474\pi\) | ||||
−0.555502 | + | 0.831515i | \(0.687474\pi\) | |||||||
\(660\) | 29.6159 | − | 51.2962i | 1.15280 | − | 1.99670i | ||||
\(661\) | −9.98790 | − | 17.2995i | −0.388484 | − | 0.672874i | 0.603762 | − | 0.797165i | \(-0.293668\pi\) |
−0.992246 | + | 0.124291i | \(0.960335\pi\) | |||||||
\(662\) | 21.8117 | + | 37.7790i | 0.847736 | + | 1.46832i | ||||
\(663\) | 1.44263 | − | 2.49870i | 0.0560270 | − | 0.0970415i | ||||
\(664\) | −8.31517 | −0.322691 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 1.15492 | 0.0447524 | ||||||||
\(667\) | 19.4338 | − | 33.6604i | 0.752481 | − | 1.30334i | ||||
\(668\) | 0.924891 | + | 1.60196i | 0.0357851 | + | 0.0619816i | ||||
\(669\) | −7.30251 | − | 12.6483i | −0.282331 | − | 0.489012i | ||||
\(670\) | 17.8380 | − | 30.8964i | 0.689143 | − | 1.19363i | ||||
\(671\) | 36.0363 | 1.39117 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −4.18849 | −0.161454 | −0.0807272 | − | 0.996736i | \(-0.525724\pi\) | ||||
−0.0807272 | + | 0.996736i | \(0.525724\pi\) | |||||||
\(674\) | −20.1824 | + | 34.9570i | −0.777398 | + | 1.34649i | ||||
\(675\) | 1.39377 | + | 2.41408i | 0.0536461 | + | 0.0929178i | ||||
\(676\) | −1.38322 | − | 2.39581i | −0.0532009 | − | 0.0921467i | ||||
\(677\) | −19.1698 | + | 33.2031i | −0.736755 | + | 1.27610i | 0.217194 | + | 0.976129i | \(0.430310\pi\) |
−0.953949 | + | 0.299969i | \(0.903024\pi\) | |||||||
\(678\) | 28.8776 | 1.10904 | ||||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 5.79507 | 0.222231 | ||||||||
\(681\) | −11.6861 | + | 20.2410i | −0.447814 | + | 0.775637i | ||||
\(682\) | −32.2553 | − | 55.8678i | −1.23512 | − | 2.13929i | ||||
\(683\) | 1.30604 | + | 2.26212i | 0.0499741 | + | 0.0865577i | 0.889930 | − | 0.456096i | \(-0.150753\pi\) |
−0.839956 | + | 0.542654i | \(0.817419\pi\) | |||||||
\(684\) | −0.340008 | + | 0.588911i | −0.0130005 | + | 0.0225176i | ||||
\(685\) | 32.6082 | 1.24589 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 31.5120 | 1.20226 | ||||||||
\(688\) | −4.20161 | + | 7.27740i | −0.160185 | + | 0.277448i | ||||
\(689\) | 1.72480 | + | 2.98744i | 0.0657095 | + | 0.113812i | ||||
\(690\) | −26.0291 | − | 45.0837i | −0.990910 | − | 1.71631i | ||||
\(691\) | −20.4592 | + | 35.4365i | −0.778307 | + | 1.34807i | 0.154611 | + | 0.987975i | \(0.450588\pi\) |
−0.932917 | + | 0.360091i | \(0.882746\pi\) | |||||||
\(692\) | −69.4872 | −2.64151 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −1.73806 | −0.0659759 | ||||||||
\(695\) | −4.06208 | + | 7.03572i | −0.154083 | + | 0.266880i | ||||
\(696\) | −8.90039 | − | 15.4159i | −0.337368 | − | 0.584339i | ||||
\(697\) | 5.85856 | + | 10.1473i | 0.221909 | + | 0.384357i | ||||
\(698\) | −12.4143 | + | 21.5022i | −0.469888 | + | 0.813870i | ||||
\(699\) | −11.0775 | −0.418988 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −0.762896 | −0.0288142 | −0.0144071 | − | 0.999896i | \(-0.504586\pi\) | ||||
−0.0144071 | + | 0.999896i | \(0.504586\pi\) | |||||||
\(702\) | 5.58186 | − | 9.66806i | 0.210674 | − | 0.364897i | ||||
\(703\) | −7.67541 | − | 13.2942i | −0.289484 | − | 0.501400i | ||||
\(704\) | −36.0742 | − | 62.4824i | −1.35960 | − | 2.35489i | ||||
\(705\) | 21.8806 | − | 37.8984i | 0.824072 | − | 1.42733i | ||||
\(706\) | −52.6304 | −1.98077 | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 64.1178 | 2.40969 | ||||||||
\(709\) | −1.32641 | + | 2.29740i | −0.0498142 | + | 0.0862807i | −0.889857 | − | 0.456239i | \(-0.849196\pi\) |
0.840043 | + | 0.542520i | \(0.182530\pi\) | |||||||
\(710\) | 31.4203 | + | 54.4216i | 1.17918 | + | 2.04241i | ||||
\(711\) | −0.0516390 | − | 0.0894414i | −0.00193661 | − | 0.00335432i | ||||
\(712\) | 0.959063 | − | 1.66115i | 0.0359424 | − | 0.0622541i | ||||
\(713\) | −32.9074 | −1.23239 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −12.1761 | −0.455362 | ||||||||
\(716\) | 2.62158 | − | 4.54070i | 0.0979729 | − | 0.169694i | ||||
\(717\) | 8.28025 | + | 14.3418i | 0.309231 | + | 0.535605i | ||||
\(718\) | −9.90288 | − | 17.1523i | −0.369572 | − | 0.640118i | ||||
\(719\) | 5.52216 | − | 9.56465i | 0.205942 | − | 0.356701i | −0.744491 | − | 0.667633i | \(-0.767308\pi\) |
0.950432 | + | 0.310931i | \(0.100641\pi\) | |||||||
\(720\) | 0.365138 | 0.0136079 | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | −25.9083 | −0.964206 | ||||||||
\(723\) | 17.5396 | − | 30.3795i | 0.652305 | − | 1.12983i | ||||
\(724\) | 15.7128 | + | 27.2153i | 0.583961 | + | 1.01145i | ||||
\(725\) | −1.64898 | − | 2.85612i | −0.0612416 | − | 0.106074i | ||||
\(726\) | 42.7669 | − | 74.0744i | 1.58723 | − | 2.74916i | ||||
\(727\) | −3.46566 | −0.128534 | −0.0642672 | − | 0.997933i | \(-0.520471\pi\) | ||||
−0.0642672 | + | 0.997933i | \(0.520471\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 26.1216 | 0.967468 | ||||||||
\(730\) | 35.7216 | − | 61.8716i | 1.32211 | − | 2.28997i | ||||
\(731\) | −3.66774 | − | 6.35270i | −0.135656 | − | 0.234963i | ||||
\(732\) | −15.1937 | − | 26.3162i | −0.561574 | − | 0.972675i | ||||
\(733\) | −14.5166 | + | 25.1435i | −0.536182 | + | 0.928695i | 0.462923 | + | 0.886398i | \(0.346801\pi\) |
−0.999105 | + | 0.0422961i | \(0.986533\pi\) | |||||||
\(734\) | 68.8822 | 2.54249 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −47.8663 | −1.76437 | ||||||||
\(737\) | 22.3319 | − | 38.6799i | 0.822605 | − | 1.42479i | ||||
\(738\) | −0.717442 | − | 1.24265i | −0.0264094 | − | 0.0457424i | ||||
\(739\) | −23.7761 | − | 41.1814i | −0.874618 | − | 1.51488i | −0.857169 | − | 0.515034i | \(-0.827779\pi\) |
−0.0174482 | − | 0.999848i | \(-0.505554\pi\) | |||||||
\(740\) | 16.7805 | − | 29.0647i | 0.616864 | − | 1.06844i | ||||
\(741\) | 4.69633 | 0.172524 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 12.6122 | 0.462697 | 0.231349 | − | 0.972871i | \(-0.425686\pi\) | ||||
0.231349 | + | 0.972871i | \(0.425686\pi\) | |||||||
\(744\) | −7.53553 | + | 13.0519i | −0.276266 | + | 0.478507i | ||||
\(745\) | −1.09784 | − | 1.90151i | −0.0402216 | − | 0.0696658i | ||||
\(746\) | 17.5292 | + | 30.3614i | 0.641789 | + | 1.11161i | ||||
\(747\) | 0.228676 | − | 0.396079i | 0.00836683 | − | 0.0144918i | ||||
\(748\) | 26.1864 | 0.957471 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | −44.9313 | −1.64066 | ||||||||
\(751\) | 3.85390 | − | 6.67516i | 0.140631 | − | 0.243580i | −0.787103 | − | 0.616821i | \(-0.788420\pi\) |
0.927734 | + | 0.373241i | \(0.121754\pi\) | |||||||
\(752\) | −11.0815 | − | 19.1938i | −0.404102 | − | 0.699925i | ||||
\(753\) | −1.07441 | − | 1.86093i | −0.0391536 | − | 0.0678161i | ||||
\(754\) | −6.60395 | + | 11.4384i | −0.240502 | + | 0.416561i | ||||
\(755\) | 9.16734 | 0.333633 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 2.39454 | 0.0870311 | 0.0435156 | − | 0.999053i | \(-0.486144\pi\) | ||||
0.0435156 | + | 0.999053i | \(0.486144\pi\) | |||||||
\(758\) | 5.86080 | − | 10.1512i | 0.212874 | − | 0.368708i | ||||
\(759\) | −32.5864 | − | 56.4414i | −1.18281 | − | 2.04869i | ||||
\(760\) | 4.71632 | + | 8.16891i | 0.171079 | + | 0.296318i | ||||
\(761\) | −20.6648 | + | 35.7925i | −0.749098 | + | 1.29748i | 0.199158 | + | 0.979967i | \(0.436179\pi\) |
−0.948255 | + | 0.317508i | \(0.897154\pi\) | |||||||
\(762\) | 74.1146 | 2.68489 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | −64.8475 | −2.34610 | ||||||||
\(765\) | −0.159371 | + | 0.276038i | −0.00576206 | + | 0.00998018i | ||||
\(766\) | 37.6687 | + | 65.2441i | 1.36103 | + | 2.35736i | ||||
\(767\) | −6.59027 | − | 11.4147i | −0.237961 | − | 0.412161i | ||||
\(768\) | −1.81725 | + | 3.14757i | −0.0655744 | + | 0.113578i | ||||
\(769\) | −36.7414 | −1.32493 | −0.662464 | − | 0.749094i | \(-0.730489\pi\) | ||||
−0.662464 | + | 0.749094i | \(0.730489\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −39.4308 | −1.42007 | ||||||||
\(772\) | 2.56186 | − | 4.43728i | 0.0922035 | − | 0.159701i | ||||
\(773\) | −11.9836 | − | 20.7562i | −0.431020 | − | 0.746548i | 0.565942 | − | 0.824445i | \(-0.308513\pi\) |
−0.996961 | + | 0.0778972i | \(0.975179\pi\) | |||||||
\(774\) | 0.449153 | + | 0.777956i | 0.0161445 | + | 0.0279630i | ||||
\(775\) | −1.39611 | + | 2.41814i | −0.0501498 | + | 0.0868620i | ||||
\(776\) | 11.6668 | 0.418814 |