Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [99,2,Mod(4,99)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(99, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([10, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("99.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 99 = 3^{2} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 99.m (of order \(15\), degree \(8\), 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: | \(0.790518980011\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(9\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 16.9 | ||
Character | \(\chi\) | \(=\) | 99.16 |
Dual form | 99.2.m.b.31.9 |
$q$-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 \(\left(\mathbb{Z}/99\mathbb{Z}\right)^\times\).
\(n\) | \(46\) | \(56\) |
\(\chi(n)\) | \(e\left(\frac{2}{5}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.54483 | + | 0.540921i | 1.79947 | + | 0.382489i | 0.981299 | − | 0.192488i | \(-0.0616558\pi\) |
0.818169 | + | 0.574977i | \(0.194989\pi\) | |||||||
\(3\) | −1.71102 | + | 0.269100i | −0.987857 | + | 0.155365i | ||||
\(4\) | 4.35649 | + | 1.93963i | 2.17824 | + | 0.969817i | ||||
\(5\) | −2.00724 | + | 0.426651i | −0.897664 | + | 0.190804i | −0.633563 | − | 0.773691i | \(-0.718408\pi\) |
−0.264100 | + | 0.964495i | \(0.585075\pi\) | |||||||
\(6\) | −4.49982 | − | 0.240711i | −1.83704 | − | 0.0982699i | ||||
\(7\) | −0.333407 | − | 3.17215i | −0.126016 | − | 1.19896i | −0.856542 | − | 0.516077i | \(-0.827392\pi\) |
0.730527 | − | 0.682884i | \(-0.239275\pi\) | |||||||
\(8\) | 5.82773 | + | 4.23409i | 2.06041 | + | 1.49698i | ||||
\(9\) | 2.85517 | − | 0.920871i | 0.951723 | − | 0.306957i | ||||
\(10\) | −5.33887 | −1.68830 | ||||||||
\(11\) | −3.10065 | − | 1.17727i | −0.934881 | − | 0.354960i | ||||
\(12\) | −7.97599 | − | 2.14642i | −2.30247 | − | 0.619617i | ||||
\(13\) | −0.932670 | + | 1.03584i | −0.258676 | + | 0.287289i | −0.858468 | − | 0.512867i | \(-0.828583\pi\) |
0.599792 | + | 0.800156i | \(0.295250\pi\) | |||||||
\(14\) | 0.867419 | − | 8.25294i | 0.231828 | − | 2.20569i | ||||
\(15\) | 3.31961 | − | 1.27016i | 0.857119 | − | 0.327953i | ||||
\(16\) | 6.15843 | + | 6.83963i | 1.53961 | + | 1.70991i | ||||
\(17\) | −0.417491 | + | 1.28491i | −0.101257 | + | 0.311636i | −0.988834 | − | 0.149024i | \(-0.952387\pi\) |
0.887577 | + | 0.460659i | \(0.152387\pi\) | |||||||
\(18\) | 7.76405 | − | 0.799040i | 1.83000 | − | 0.188336i | ||||
\(19\) | 2.15510 | + | 1.56577i | 0.494415 | + | 0.359213i | 0.806880 | − | 0.590716i | \(-0.201155\pi\) |
−0.312465 | + | 0.949929i | \(0.601155\pi\) | |||||||
\(20\) | −9.57205 | − | 2.03460i | −2.14038 | − | 0.454951i | ||||
\(21\) | 1.42409 | + | 5.33789i | 0.310762 | + | 1.16482i | ||||
\(22\) | −7.25383 | − | 4.67316i | −1.54652 | − | 0.996322i | ||||
\(23\) | 0.810671 | + | 1.40412i | 0.169037 | + | 0.292780i | 0.938081 | − | 0.346415i | \(-0.112601\pi\) |
−0.769045 | + | 0.639195i | \(0.779268\pi\) | |||||||
\(24\) | −11.1107 | − | 5.67637i | −2.26797 | − | 1.15868i | ||||
\(25\) | −0.720757 | + | 0.320902i | −0.144151 | + | 0.0641804i | ||||
\(26\) | −2.93380 | + | 2.13153i | −0.575365 | + | 0.418027i | ||||
\(27\) | −4.63744 | + | 2.34395i | −0.892476 | + | 0.451094i | ||||
\(28\) | 4.70033 | − | 14.4661i | 0.888279 | − | 2.73384i | ||||
\(29\) | 0.961949 | + | 9.15234i | 0.178630 | + | 1.69955i | 0.605996 | + | 0.795468i | \(0.292775\pi\) |
−0.427366 | + | 0.904079i | \(0.640559\pi\) | |||||||
\(30\) | 9.13490 | − | 1.43669i | 1.66780 | − | 0.262302i | ||||
\(31\) | 4.76127 | − | 5.28793i | 0.855149 | − | 0.949740i | −0.144057 | − | 0.989569i | \(-0.546015\pi\) |
0.999206 | + | 0.0398298i | \(0.0126816\pi\) | |||||||
\(32\) | 4.76900 | + | 8.26016i | 0.843049 | + | 1.46020i | ||||
\(33\) | 5.62207 | + | 1.17995i | 0.978678 | + | 0.205402i | ||||
\(34\) | −1.75748 | + | 3.04404i | −0.301405 | + | 0.522049i | ||||
\(35\) | 2.02263 | + | 6.22501i | 0.341887 | + | 1.05222i | ||||
\(36\) | 14.2247 | + | 1.52622i | 2.37078 | + | 0.254370i | ||||
\(37\) | 0.606109 | − | 0.440364i | 0.0996438 | − | 0.0723954i | −0.536848 | − | 0.843679i | \(-0.680385\pi\) |
0.636491 | + | 0.771284i | \(0.280385\pi\) | |||||||
\(38\) | 4.63742 | + | 5.15038i | 0.752289 | + | 0.835501i | ||||
\(39\) | 1.31707 | − | 2.02332i | 0.210900 | − | 0.323990i | ||||
\(40\) | −13.5041 | − | 6.01242i | −2.13519 | − | 0.950647i | ||||
\(41\) | 0.631565 | − | 6.00894i | 0.0986339 | − | 0.938439i | −0.827556 | − | 0.561383i | \(-0.810270\pi\) |
0.926190 | − | 0.377056i | \(-0.123064\pi\) | |||||||
\(42\) | 0.736697 | + | 14.3544i | 0.113675 | + | 2.21493i | ||||
\(43\) | 3.54650 | − | 6.14271i | 0.540836 | − | 0.936755i | −0.458021 | − | 0.888942i | \(-0.651441\pi\) |
0.998856 | − | 0.0478134i | \(-0.0152253\pi\) | |||||||
\(44\) | −11.2245 | − | 11.1429i | −1.69215 | − | 1.67985i | ||||
\(45\) | −5.33811 | + | 3.06657i | −0.795759 | + | 0.457137i | ||||
\(46\) | 1.30350 | + | 4.01177i | 0.192191 | + | 0.591503i | ||||
\(47\) | −5.23476 | + | 2.33067i | −0.763568 | + | 0.339963i | −0.751299 | − | 0.659962i | \(-0.770572\pi\) |
−0.0122696 | + | 0.999925i | \(0.503906\pi\) | |||||||
\(48\) | −12.3777 | − | 10.0455i | −1.78657 | − | 1.44994i | ||||
\(49\) | −3.10435 | + | 0.659851i | −0.443479 | + | 0.0942644i | ||||
\(50\) | −2.00779 | + | 0.426769i | −0.283944 | + | 0.0603542i | ||||
\(51\) | 0.368567 | − | 2.31085i | 0.0516097 | − | 0.323583i | ||||
\(52\) | −6.07231 | + | 2.70357i | −0.842078 | + | 0.374917i | ||||
\(53\) | 0.146386 | + | 0.450530i | 0.0201077 | + | 0.0618850i | 0.960607 | − | 0.277911i | \(-0.0896420\pi\) |
−0.940499 | + | 0.339796i | \(0.889642\pi\) | |||||||
\(54\) | −13.0694 | + | 3.45648i | −1.77852 | + | 0.470367i | ||||
\(55\) | 6.72603 | + | 1.04016i | 0.906937 | + | 0.140256i | ||||
\(56\) | 11.4882 | − | 19.8981i | 1.53517 | − | 2.65900i | ||||
\(57\) | −4.10877 | − | 2.09913i | −0.544220 | − | 0.278037i | ||||
\(58\) | −2.50269 | + | 23.8115i | −0.328619 | + | 3.12660i | ||||
\(59\) | −1.41091 | − | 0.628178i | −0.183685 | − | 0.0817819i | 0.312833 | − | 0.949808i | \(-0.398722\pi\) |
−0.496518 | + | 0.868026i | \(0.665389\pi\) | |||||||
\(60\) | 16.9255 | + | 0.905403i | 2.18507 | + | 0.116887i | ||||
\(61\) | 6.28308 | + | 6.97807i | 0.804466 | + | 0.893450i | 0.996119 | − | 0.0880124i | \(-0.0280515\pi\) |
−0.191653 | + | 0.981463i | \(0.561385\pi\) | |||||||
\(62\) | 14.9770 | − | 10.8814i | 1.90208 | − | 1.38194i | ||||
\(63\) | −3.87307 | − | 8.75001i | −0.487961 | − | 1.10240i | ||||
\(64\) | 1.98007 | + | 6.09404i | 0.247509 | + | 0.761754i | ||||
\(65\) | 1.43015 | − | 2.47709i | 0.177388 | − | 0.307246i | ||||
\(66\) | 13.6690 | + | 6.04386i | 1.68254 | + | 0.743948i | ||||
\(67\) | −3.69864 | − | 6.40624i | −0.451861 | − | 0.782647i | 0.546640 | − | 0.837367i | \(-0.315906\pi\) |
−0.998502 | + | 0.0547207i | \(0.982573\pi\) | |||||||
\(68\) | −4.31104 | + | 4.78790i | −0.522791 | + | 0.580618i | ||||
\(69\) | −1.76492 | − | 2.18433i | −0.212472 | − | 0.262962i | ||||
\(70\) | 1.78001 | + | 16.9357i | 0.212752 | + | 2.02420i | ||||
\(71\) | 0.485314 | − | 1.49364i | 0.0575962 | − | 0.177263i | −0.918119 | − | 0.396304i | \(-0.870293\pi\) |
0.975716 | + | 0.219041i | \(0.0702927\pi\) | |||||||
\(72\) | 20.5382 | + | 6.72247i | 2.42045 | + | 0.792251i | ||||
\(73\) | −7.78114 | + | 5.65333i | −0.910713 | + | 0.661672i | −0.941195 | − | 0.337863i | \(-0.890296\pi\) |
0.0304819 | + | 0.999535i | \(0.490296\pi\) | |||||||
\(74\) | 1.78065 | − | 0.792796i | 0.206996 | − | 0.0921607i | ||||
\(75\) | 1.14687 | − | 0.743025i | 0.132430 | − | 0.0857971i | ||||
\(76\) | 6.35166 | + | 11.0014i | 0.728585 | + | 1.26195i | ||||
\(77\) | −2.70070 | + | 10.2282i | −0.307774 | + | 1.16562i | ||||
\(78\) | 4.44618 | − | 4.43657i | 0.503431 | − | 0.502342i | ||||
\(79\) | −2.26163 | − | 0.480724i | −0.254453 | − | 0.0540856i | 0.0789190 | − | 0.996881i | \(-0.474853\pi\) |
−0.333372 | + | 0.942795i | \(0.608186\pi\) | |||||||
\(80\) | −15.2796 | − | 11.1013i | −1.70831 | − | 1.24116i | ||||
\(81\) | 7.30399 | − | 5.25848i | 0.811555 | − | 0.584276i | ||||
\(82\) | 4.85759 | − | 14.9501i | 0.536431 | − | 1.65097i | ||||
\(83\) | −5.10190 | − | 5.66623i | −0.560006 | − | 0.621950i | 0.394948 | − | 0.918704i | \(-0.370763\pi\) |
−0.954954 | + | 0.296754i | \(0.904096\pi\) | |||||||
\(84\) | −4.14952 | + | 26.0167i | −0.452749 | + | 2.83865i | ||||
\(85\) | 0.289797 | − | 2.75724i | 0.0314329 | − | 0.299064i | ||||
\(86\) | 12.3480 | − | 13.7138i | 1.33152 | − | 1.47880i | ||||
\(87\) | −4.10881 | − | 15.4010i | −0.440510 | − | 1.65116i | ||||
\(88\) | −13.0851 | − | 19.9893i | −1.39487 | − | 2.13086i | ||||
\(89\) | 14.6343 | 1.55124 | 0.775619 | − | 0.631202i | \(-0.217438\pi\) | ||||
0.775619 | + | 0.631202i | \(0.217438\pi\) | |||||||
\(90\) | −15.2434 | + | 4.91641i | −1.60679 | + | 0.518235i | ||||
\(91\) | 3.59679 | + | 2.61322i | 0.377046 | + | 0.273940i | ||||
\(92\) | 0.808194 | + | 7.68945i | 0.0842601 | + | 0.801681i | ||||
\(93\) | −6.72364 | + | 10.3290i | −0.697209 | + | 1.07107i | ||||
\(94\) | −14.5823 | + | 3.09956i | −1.50405 | + | 0.319696i | ||||
\(95\) | −4.99385 | − | 2.22340i | −0.512358 | − | 0.228116i | ||||
\(96\) | −10.3827 | − | 12.8499i | −1.05968 | − | 1.31149i | ||||
\(97\) | −6.77575 | − | 1.44023i | −0.687973 | − | 0.146233i | −0.149355 | − | 0.988784i | \(-0.547720\pi\) |
−0.538617 | + | 0.842550i | \(0.681053\pi\) | |||||||
\(98\) | −8.25699 | −0.834082 | ||||||||
\(99\) | −9.93700 | − | 0.506009i | −0.998706 | − | 0.0508558i | ||||
\(100\) | −3.76240 | −0.376240 | ||||||||
\(101\) | −1.36162 | − | 0.289422i | −0.135487 | − | 0.0287986i | 0.139669 | − | 0.990198i | \(-0.455396\pi\) |
−0.275156 | + | 0.961400i | \(0.588729\pi\) | |||||||
\(102\) | 2.18793 | − | 5.68135i | 0.216637 | − | 0.562538i | ||||
\(103\) | 10.1444 | + | 4.51658i | 0.999557 | + | 0.445031i | 0.840251 | − | 0.542198i | \(-0.182408\pi\) |
0.159306 | + | 0.987229i | \(0.449074\pi\) | |||||||
\(104\) | −9.82118 | + | 2.08756i | −0.963045 | + | 0.204702i | ||||
\(105\) | −5.13591 | − | 10.1068i | −0.501213 | − | 0.986325i | ||||
\(106\) | 0.128827 | + | 1.22571i | 0.0125128 | + | 0.119051i | ||||
\(107\) | −9.39767 | − | 6.82781i | −0.908507 | − | 0.660069i | 0.0321295 | − | 0.999484i | \(-0.489771\pi\) |
−0.940637 | + | 0.339414i | \(0.889771\pi\) | |||||||
\(108\) | −24.7494 | + | 1.21646i | −2.38151 | + | 0.117054i | ||||
\(109\) | −8.56778 | −0.820645 | −0.410322 | − | 0.911941i | \(-0.634584\pi\) | ||||
−0.410322 | + | 0.911941i | \(0.634584\pi\) | |||||||
\(110\) | 16.5540 | + | 6.28529i | 1.57836 | + | 0.599279i | ||||
\(111\) | −0.918563 | + | 0.916576i | −0.0871861 | + | 0.0869975i | ||||
\(112\) | 19.6431 | − | 21.8158i | 1.85610 | − | 2.06140i | ||||
\(113\) | 1.44520 | − | 13.7502i | 0.135953 | − | 1.29351i | −0.687526 | − | 0.726159i | \(-0.741303\pi\) |
0.823479 | − | 0.567346i | \(-0.192030\pi\) | |||||||
\(114\) | −9.32068 | − | 7.56446i | −0.872962 | − | 0.708477i | ||||
\(115\) | −2.22628 | − | 2.47254i | −0.207602 | − | 0.230565i | ||||
\(116\) | −13.5615 | + | 41.7379i | −1.25915 | + | 3.87526i | ||||
\(117\) | −1.70906 | + | 3.81636i | −0.158003 | + | 0.352822i | ||||
\(118\) | −3.25074 | − | 2.36180i | −0.299255 | − | 0.217421i | ||||
\(119\) | 4.21511 | + | 0.895950i | 0.386399 | + | 0.0821316i | ||||
\(120\) | 24.7237 | + | 6.65341i | 2.25696 | + | 0.607370i | ||||
\(121\) | 8.22807 | + | 7.30061i | 0.748006 | + | 0.663692i | ||||
\(122\) | 12.2148 | + | 21.1567i | 1.10588 | + | 1.91544i | ||||
\(123\) | 0.536387 | + | 10.4514i | 0.0483644 | + | 0.942368i | ||||
\(124\) | 30.9991 | − | 13.8017i | 2.78380 | − | 1.23943i | ||||
\(125\) | 9.61066 | − | 6.98255i | 0.859603 | − | 0.624538i | ||||
\(126\) | −5.12326 | − | 24.3623i | −0.456417 | − | 2.17037i | ||||
\(127\) | −3.34643 | + | 10.2992i | −0.296947 | + | 0.913910i | 0.685613 | + | 0.727966i | \(0.259534\pi\) |
−0.982560 | + | 0.185944i | \(0.940466\pi\) | |||||||
\(128\) | −0.251425 | − | 2.39215i | −0.0222231 | − | 0.211438i | ||||
\(129\) | −4.41512 | + | 11.4647i | −0.388729 | + | 1.00941i | ||||
\(130\) | 4.97940 | − | 5.53019i | 0.436723 | − | 0.485030i | ||||
\(131\) | 2.95131 | + | 5.11182i | 0.257857 | + | 0.446622i | 0.965668 | − | 0.259780i | \(-0.0836502\pi\) |
−0.707810 | + | 0.706403i | \(0.750317\pi\) | |||||||
\(132\) | 22.2038 | + | 16.0452i | 1.93260 | + | 1.39655i | ||||
\(133\) | 4.24835 | − | 7.35836i | 0.368379 | − | 0.638051i | ||||
\(134\) | −5.94716 | − | 18.3035i | −0.513757 | − | 1.58118i | ||||
\(135\) | 8.30840 | − | 6.68344i | 0.715073 | − | 0.575219i | ||||
\(136\) | −7.87344 | + | 5.72039i | −0.675142 | + | 0.490519i | ||||
\(137\) | 0.787782 | + | 0.874920i | 0.0673047 | + | 0.0747495i | 0.775857 | − | 0.630909i | \(-0.217318\pi\) |
−0.708552 | + | 0.705659i | \(0.750651\pi\) | |||||||
\(138\) | −3.30988 | − | 6.51344i | −0.281756 | − | 0.554461i | ||||
\(139\) | 2.49566 | + | 1.11114i | 0.211679 | + | 0.0942457i | 0.509837 | − | 0.860271i | \(-0.329706\pi\) |
−0.298158 | + | 0.954517i | \(0.596372\pi\) | |||||||
\(140\) | −3.26268 | + | 31.0424i | −0.275747 | + | 2.62356i | ||||
\(141\) | 8.32959 | − | 5.39649i | 0.701478 | − | 0.454466i | ||||
\(142\) | 2.04299 | − | 3.53856i | 0.171444 | − | 0.296949i | ||||
\(143\) | 4.11134 | − | 2.11376i | 0.343808 | − | 0.176761i | ||||
\(144\) | 23.8818 | + | 13.8572i | 1.99015 | + | 1.15477i | ||||
\(145\) | −5.83572 | − | 17.9605i | −0.484630 | − | 1.49154i | ||||
\(146\) | −22.8597 | + | 10.1778i | −1.89188 | + | 0.842320i | ||||
\(147\) | 5.13404 | − | 1.96440i | 0.423449 | − | 0.162021i | ||||
\(148\) | 3.49465 | − | 0.742812i | 0.287259 | − | 0.0610587i | ||||
\(149\) | −4.38330 | + | 0.931700i | −0.359094 | + | 0.0763279i | −0.383926 | − | 0.923364i | \(-0.625428\pi\) |
0.0248319 | + | 0.999692i | \(0.492095\pi\) | |||||||
\(150\) | 3.32052 | − | 1.27051i | 0.271120 | − | 0.103736i | ||||
\(151\) | −20.5633 | + | 9.15535i | −1.67341 | + | 0.745052i | −0.673431 | + | 0.739250i | \(0.735180\pi\) |
−0.999983 | + | 0.00580143i | \(0.998153\pi\) | |||||||
\(152\) | 5.92973 | + | 18.2498i | 0.480964 | + | 1.48026i | ||||
\(153\) | −0.00877650 | + | 4.05308i | −0.000709538 | + | 0.327672i | ||||
\(154\) | −12.4055 | + | 24.5683i | −0.999664 | + | 1.97977i | ||||
\(155\) | −7.30090 | + | 12.6455i | −0.586422 | + | 1.01571i | ||||
\(156\) | 9.66230 | − | 6.25991i | 0.773603 | − | 0.501194i | ||||
\(157\) | 1.78585 | − | 16.9912i | 0.142526 | − | 1.35605i | −0.656307 | − | 0.754494i | \(-0.727882\pi\) |
0.798833 | − | 0.601553i | \(-0.205451\pi\) | |||||||
\(158\) | −5.49543 | − | 2.44672i | −0.437193 | − | 0.194651i | ||||
\(159\) | −0.371707 | − | 0.731473i | −0.0294783 | − | 0.0580096i | ||||
\(160\) | −13.0967 | − | 14.5454i | −1.03539 | − | 1.14991i | ||||
\(161\) | 4.18381 | − | 3.03972i | 0.329730 | − | 0.239563i | ||||
\(162\) | 21.4319 | − | 9.43108i | 1.68385 | − | 0.740976i | ||||
\(163\) | 5.85270 | + | 18.0128i | 0.458419 | + | 1.41087i | 0.867074 | + | 0.498179i | \(0.165998\pi\) |
−0.408655 | + | 0.912689i | \(0.634002\pi\) | |||||||
\(164\) | 14.4066 | − | 24.9529i | 1.12496 | − | 1.94849i | ||||
\(165\) | −11.7883 | + | 0.0302344i | −0.917715 | + | 0.00235375i | ||||
\(166\) | −9.91850 | − | 17.1793i | −0.769825 | − | 1.33338i | ||||
\(167\) | −3.32679 | + | 3.69478i | −0.257435 | + | 0.285910i | −0.857983 | − | 0.513678i | \(-0.828282\pi\) |
0.600548 | + | 0.799589i | \(0.294949\pi\) | |||||||
\(168\) | −14.3019 | + | 37.1375i | −1.10342 | + | 2.86522i | ||||
\(169\) | 1.15579 | + | 10.9966i | 0.0889069 | + | 0.845892i | ||||
\(170\) | 2.22893 | − | 6.85995i | 0.170951 | − | 0.526134i | ||||
\(171\) | 7.59507 | + | 2.48598i | 0.580809 | + | 0.190108i | ||||
\(172\) | 27.3649 | − | 19.8818i | 2.08655 | − | 1.51597i | ||||
\(173\) | 13.0030 | − | 5.78933i | 0.988603 | − | 0.440154i | 0.152248 | − | 0.988342i | \(-0.451349\pi\) |
0.836355 | + | 0.548188i | \(0.184682\pi\) | |||||||
\(174\) | −2.12553 | − | 41.4154i | −0.161136 | − | 3.13969i | ||||
\(175\) | 1.25825 | + | 2.17936i | 0.0951151 | + | 0.164744i | ||||
\(176\) | −11.0430 | − | 28.4574i | −0.832401 | − | 2.14506i | ||||
\(177\) | 2.58314 | + | 0.695149i | 0.194161 | + | 0.0522506i | ||||
\(178\) | 37.2420 | + | 7.91603i | 2.79140 | + | 0.593331i | ||||
\(179\) | 6.36958 | + | 4.62777i | 0.476085 | + | 0.345896i | 0.799808 | − | 0.600256i | \(-0.204935\pi\) |
−0.323723 | + | 0.946152i | \(0.604935\pi\) | |||||||
\(180\) | −29.2034 | + | 3.00549i | −2.17670 | + | 0.224016i | ||||
\(181\) | −4.43645 | + | 13.6540i | −0.329759 | + | 1.01489i | 0.639488 | + | 0.768801i | \(0.279147\pi\) |
−0.969246 | + | 0.246092i | \(0.920853\pi\) | |||||||
\(182\) | 7.73967 | + | 8.59578i | 0.573703 | + | 0.637162i | ||||
\(183\) | −12.6283 | − | 10.2488i | −0.933509 | − | 0.757615i | ||||
\(184\) | −1.22082 | + | 11.6153i | −0.0899999 | + | 0.856292i | ||||
\(185\) | −1.02872 | + | 1.14251i | −0.0756332 | + | 0.0839992i | ||||
\(186\) | −22.6977 | + | 22.6486i | −1.66428 | + | 1.66068i | ||||
\(187\) | 2.80718 | − | 3.49255i | 0.205281 | − | 0.255400i | ||||
\(188\) | −27.3258 | −1.99294 | ||||||||
\(189\) | 8.98153 | + | 13.9292i | 0.653310 | + | 1.01320i | ||||
\(190\) | −11.5058 | − | 8.35947i | −0.834720 | − | 0.606459i | ||||
\(191\) | 1.30429 | + | 12.4095i | 0.0943751 | + | 0.897920i | 0.934605 | + | 0.355688i | \(0.115754\pi\) |
−0.840229 | + | 0.542231i | \(0.817580\pi\) | |||||||
\(192\) | −5.02785 | − | 9.89417i | −0.362854 | − | 0.714050i | ||||
\(193\) | 5.51592 | − | 1.17245i | 0.397045 | − | 0.0843945i | −0.00506209 | − | 0.999987i | \(-0.501611\pi\) |
0.402107 | + | 0.915593i | \(0.368278\pi\) | |||||||
\(194\) | −16.4641 | − | 7.33029i | −1.18205 | − | 0.526284i | ||||
\(195\) | −1.78043 | + | 4.62321i | −0.127499 | + | 0.331075i | ||||
\(196\) | −14.8040 | − | 3.14668i | −1.05743 | − | 0.224763i | ||||
\(197\) | −1.45201 | −0.103451 | −0.0517257 | − | 0.998661i | \(-0.516472\pi\) | ||||
−0.0517257 | + | 0.998661i | \(0.516472\pi\) | |||||||
\(198\) | −25.0143 | − | 6.66284i | −1.77769 | − | 0.473507i | ||||
\(199\) | 26.2193 | 1.85864 | 0.929319 | − | 0.369278i | \(-0.120395\pi\) | ||||
0.929319 | + | 0.369278i | \(0.120395\pi\) | |||||||
\(200\) | −5.55911 | − | 1.18163i | −0.393088 | − | 0.0835535i | ||||
\(201\) | 8.05237 | + | 9.96589i | 0.567970 | + | 0.702940i | ||||
\(202\) | −3.30855 | − | 1.47306i | −0.232789 | − | 0.103644i | ||||
\(203\) | 28.7119 | − | 6.10290i | 2.01518 | − | 0.428340i | ||||
\(204\) | 6.08785 | − | 9.35229i | 0.426235 | − | 0.654791i | ||||
\(205\) | 1.29602 | + | 12.3308i | 0.0905181 | + | 0.861222i | ||||
\(206\) | 23.3727 | + | 16.9812i | 1.62845 | + | 1.18314i | ||||
\(207\) | 3.60762 | + | 3.26249i | 0.250747 | + | 0.226759i | ||||
\(208\) | −12.8285 | −0.889497 | ||||||||
\(209\) | −4.83889 | − | 7.39206i | −0.334713 | − | 0.511320i | ||||
\(210\) | −7.60304 | − | 28.4983i | −0.524659 | − | 1.96657i | ||||
\(211\) | −4.27874 | + | 4.75203i | −0.294561 | + | 0.327143i | −0.872200 | − | 0.489149i | \(-0.837307\pi\) |
0.577639 | + | 0.816292i | \(0.303974\pi\) | |||||||
\(212\) | −0.236134 | + | 2.24666i | −0.0162177 | + | 0.154301i | ||||
\(213\) | −0.428442 | + | 2.68625i | −0.0293564 | + | 0.184059i | ||||
\(214\) | −20.2222 | − | 22.4590i | −1.38236 | − | 1.53527i | ||||
\(215\) | −4.49786 | + | 13.8430i | −0.306752 | + | 0.944085i | ||||
\(216\) | −36.9503 | − | 5.97544i | −2.51415 | − | 0.406577i | ||||
\(217\) | −18.3615 | − | 13.3404i | −1.24646 | − | 0.905608i | ||||
\(218\) | −21.8036 | − | 4.63449i | −1.47672 | − | 0.313887i | ||||
\(219\) | 11.7924 | − | 11.7669i | 0.796854 | − | 0.795130i | ||||
\(220\) | 27.2843 | + | 17.5775i | 1.83951 | + | 1.18507i | ||||
\(221\) | −0.941570 | − | 1.63085i | −0.0633368 | − | 0.109703i | ||||
\(222\) | −2.83338 | + | 1.83566i | −0.190164 | + | 0.123202i | ||||
\(223\) | −15.6640 | + | 6.97407i | −1.04894 | + | 0.467018i | −0.857499 | − | 0.514486i | \(-0.827983\pi\) |
−0.191441 | + | 0.981504i | \(0.561316\pi\) | |||||||
\(224\) | 24.6125 | − | 17.8820i | 1.64449 | − | 1.19479i | ||||
\(225\) | −1.76238 | + | 1.57995i | −0.117492 | + | 0.105330i | ||||
\(226\) | 11.1155 | − | 34.2101i | 0.739394 | − | 2.27562i | ||||
\(227\) | −0.568078 | − | 5.40490i | −0.0377047 | − | 0.358736i | −0.997065 | − | 0.0765536i | \(-0.975608\pi\) |
0.959361 | − | 0.282182i | \(-0.0910583\pi\) | |||||||
\(228\) | −13.8283 | − | 17.1144i | −0.915800 | − | 1.13343i | ||||
\(229\) | −9.69725 | + | 10.7699i | −0.640812 | + | 0.711694i | −0.972815 | − | 0.231585i | \(-0.925609\pi\) |
0.332003 | + | 0.943278i | \(0.392276\pi\) | |||||||
\(230\) | −4.32807 | − | 7.49643i | −0.285384 | − | 0.494300i | ||||
\(231\) | 1.86853 | − | 18.2275i | 0.122940 | − | 1.19928i | ||||
\(232\) | −33.1459 | + | 57.4103i | −2.17613 | + | 3.76917i | ||||
\(233\) | 0.347544 | + | 1.06963i | 0.0227684 | + | 0.0700739i | 0.961795 | − | 0.273770i | \(-0.0882708\pi\) |
−0.939027 | + | 0.343844i | \(0.888271\pi\) | |||||||
\(234\) | −6.41362 | + | 8.78752i | −0.419272 | + | 0.574458i | ||||
\(235\) | 9.51303 | − | 6.91162i | 0.620561 | − | 0.450864i | ||||
\(236\) | −4.92818 | − | 5.47330i | −0.320798 | − | 0.356282i | ||||
\(237\) | 3.99905 | + | 0.213923i | 0.259766 | + | 0.0138958i | ||||
\(238\) | 10.2421 | + | 4.56009i | 0.663898 | + | 0.295586i | ||||
\(239\) | 2.29860 | − | 21.8697i | 0.148684 | − | 1.41463i | −0.624783 | − | 0.780798i | \(-0.714813\pi\) |
0.773467 | − | 0.633836i | \(-0.218521\pi\) | |||||||
\(240\) | 29.1310 | + | 14.8827i | 1.88040 | + | 0.960676i | ||||
\(241\) | 5.58129 | − | 9.66707i | 0.359522 | − | 0.622711i | −0.628359 | − | 0.777924i | \(-0.716273\pi\) |
0.987881 | + | 0.155213i | \(0.0496063\pi\) | |||||||
\(242\) | 16.9900 | + | 23.0296i | 1.09216 | + | 1.48040i | ||||
\(243\) | −11.0822 | + | 10.9629i | −0.710924 | + | 0.703269i | ||||
\(244\) | 13.8373 | + | 42.5868i | 0.885841 | + | 2.72634i | ||||
\(245\) | 5.94965 | − | 2.64895i | 0.380109 | − | 0.169235i | ||||
\(246\) | −4.28835 | + | 26.8871i | −0.273415 | + | 1.71426i | ||||
\(247\) | −3.63189 | + | 0.771981i | −0.231091 | + | 0.0491200i | ||||
\(248\) | 50.1370 | − | 10.6569i | 3.18370 | − | 0.676717i | ||||
\(249\) | 10.2542 | + | 8.32211i | 0.649836 | + | 0.527392i | ||||
\(250\) | 28.2345 | − | 12.5708i | 1.78571 | − | 0.795048i | ||||
\(251\) | −4.12725 | − | 12.7024i | −0.260510 | − | 0.801767i | −0.992694 | − | 0.120660i | \(-0.961499\pi\) |
0.732184 | − | 0.681107i | \(-0.238501\pi\) | |||||||
\(252\) | 0.0988102 | − | 45.6317i | 0.00622446 | − | 2.87452i | ||||
\(253\) | −0.860575 | − | 5.30808i | −0.0541039 | − | 0.333716i | ||||
\(254\) | −14.0872 | + | 24.3997i | −0.883907 | + | 1.53097i | ||||
\(255\) | 0.246124 | + | 4.79567i | 0.0154129 | + | 0.300316i | ||||
\(256\) | 1.99369 | − | 18.9687i | 0.124606 | − | 1.18555i | ||||
\(257\) | −11.4122 | − | 5.08103i | −0.711873 | − | 0.316946i | 0.0186581 | − | 0.999826i | \(-0.494061\pi\) |
−0.730531 | + | 0.682880i | \(0.760727\pi\) | |||||||
\(258\) | −17.4372 | + | 26.7874i | −1.08559 | + | 1.66771i | ||||
\(259\) | −1.59898 | − | 1.77585i | −0.0993560 | − | 0.110346i | ||||
\(260\) | 11.0351 | − | 8.01746i | 0.684367 | − | 0.497222i | ||||
\(261\) | 11.1746 | + | 25.2457i | 0.691693 | + | 1.56267i | ||||
\(262\) | 4.74551 | + | 14.6052i | 0.293178 | + | 0.902310i | ||||
\(263\) | −2.66017 | + | 4.60756i | −0.164033 | + | 0.284114i | −0.936312 | − | 0.351170i | \(-0.885784\pi\) |
0.772278 | + | 0.635284i | \(0.219117\pi\) | |||||||
\(264\) | 27.7679 | + | 30.6808i | 1.70900 | + | 1.88827i | ||||
\(265\) | −0.486051 | − | 0.841865i | −0.0298579 | − | 0.0517153i | ||||
\(266\) | 14.7916 | − | 16.4278i | 0.906933 | − | 1.00725i | ||||
\(267\) | −25.0396 | + | 3.93810i | −1.53240 | + | 0.241008i | ||||
\(268\) | −3.68734 | − | 35.0827i | −0.225240 | − | 2.14302i | ||||
\(269\) | −2.64157 | + | 8.12991i | −0.161059 | + | 0.495690i | −0.998724 | − | 0.0504948i | \(-0.983920\pi\) |
0.837665 | + | 0.546184i | \(0.183920\pi\) | |||||||
\(270\) | 24.7587 | − | 12.5141i | 1.50677 | − | 0.761581i | ||||
\(271\) | 6.05238 | − | 4.39731i | 0.367656 | − | 0.267117i | −0.388582 | − | 0.921414i | \(-0.627035\pi\) |
0.756238 | + | 0.654296i | \(0.227035\pi\) | |||||||
\(272\) | −11.3594 | + | 5.05752i | −0.688763 | + | 0.306657i | ||||
\(273\) | −6.85738 | − | 3.50337i | −0.415028 | − | 0.212034i | ||||
\(274\) | 1.53151 | + | 2.65265i | 0.0925219 | + | 0.160253i | ||||
\(275\) | 2.61261 | − | 0.146478i | 0.157546 | − | 0.00883297i | ||||
\(276\) | −3.45207 | − | 12.9393i | −0.207790 | − | 0.778855i | ||||
\(277\) | −12.5070 | − | 2.65843i | −0.751470 | − | 0.159730i | −0.183774 | − | 0.982968i | \(-0.558832\pi\) |
−0.567696 | + | 0.823239i | \(0.692165\pi\) | |||||||
\(278\) | 5.75000 | + | 4.17762i | 0.344862 | + | 0.250557i | ||||
\(279\) | 8.72474 | − | 19.4824i | 0.522337 | − | 1.16638i | ||||
\(280\) | −14.5700 | + | 44.8417i | −0.870721 | + | 2.67980i | ||||
\(281\) | −13.9144 | − | 15.4535i | −0.830061 | − | 0.921876i | 0.167894 | − | 0.985805i | \(-0.446303\pi\) |
−0.997954 | + | 0.0639292i | \(0.979637\pi\) | |||||||
\(282\) | 24.1165 | − | 9.22751i | 1.43612 | − | 0.549490i | ||||
\(283\) | −1.31130 | + | 12.4761i | −0.0779484 | + | 0.741630i | 0.883831 | + | 0.467806i | \(0.154955\pi\) |
−0.961780 | + | 0.273824i | \(0.911711\pi\) | |||||||
\(284\) | 5.01139 | − | 5.56571i | 0.297371 | − | 0.330264i | ||||
\(285\) | 9.14288 | + | 2.46044i | 0.541578 | + | 0.145744i | ||||
\(286\) | 11.6061 | − | 3.15525i | 0.686281 | − | 0.186574i | ||||
\(287\) | −19.2718 | −1.13758 | ||||||||
\(288\) | 21.2229 | + | 19.1925i | 1.25057 | + | 1.13093i | ||||
\(289\) | 12.2766 | + | 8.91947i | 0.722153 | + | 0.524675i | ||||
\(290\) | −5.13572 | − | 48.8631i | −0.301580 | − | 2.86934i | ||||
\(291\) | 11.9810 | + | 0.640905i | 0.702338 | + | 0.0375705i | ||||
\(292\) | −44.8638 | + | 9.53610i | −2.62546 | + | 0.558058i | ||||
\(293\) | −14.6243 | − | 6.51116i | −0.854361 | − | 0.380386i | −0.0676509 | − | 0.997709i | \(-0.521550\pi\) |
−0.786710 | + | 0.617323i | \(0.788217\pi\) | |||||||
\(294\) | 14.1279 | − | 2.22196i | 0.823954 | − | 0.129587i | ||||
\(295\) | 3.10005 | + | 0.658936i | 0.180492 | + | 0.0383647i | ||||
\(296\) | 5.39679 | 0.313682 | ||||||||
\(297\) | 17.1386 | − | 1.80826i | 0.994480 | − | 0.104926i | ||||
\(298\) | −11.6588 | −0.675374 | ||||||||
\(299\) | −2.21053 | − | 0.469863i | −0.127838 | − | 0.0271729i | ||||
\(300\) | 6.43754 | − | 1.01246i | 0.371672 | − | 0.0584546i | ||||
\(301\) | −20.6680 | − | 9.20201i | −1.19129 | − | 0.530395i | ||||
\(302\) | −57.2824 | + | 12.1757i | −3.29623 | + | 0.700635i | ||||
\(303\) | 2.40765 | + | 0.128793i | 0.138316 | + | 0.00739899i | ||||
\(304\) | 2.56274 | + | 24.3828i | 0.146983 | + | 1.39845i | ||||
\(305\) | −15.5888 | − | 11.3260i | −0.892614 | − | 0.648522i | ||||
\(306\) | −2.21473 | + | 10.3097i | −0.126608 | + | 0.589365i | ||||
\(307\) | −22.5571 | −1.28740 | −0.643702 | − | 0.765276i | \(-0.722602\pi\) | ||||
−0.643702 | + | 0.765276i | \(0.722602\pi\) | |||||||
\(308\) | −31.6046 | + | 39.3209i | −1.80084 | + | 2.24051i | ||||
\(309\) | −18.5727 | − | 4.99809i | −1.05656 | − | 0.284331i | ||||
\(310\) | −25.4198 | + | 28.2315i | −1.44375 | + | 1.60344i | ||||
\(311\) | −3.00412 | + | 28.5823i | −0.170348 | + | 1.62075i | 0.491335 | + | 0.870971i | \(0.336509\pi\) |
−0.661683 | + | 0.749784i | \(0.730157\pi\) | |||||||
\(312\) | 16.2425 | − | 6.21473i | 0.919548 | − | 0.351840i | ||||
\(313\) | −16.5628 | − | 18.3949i | −0.936185 | − | 1.03974i | −0.999129 | − | 0.0417221i | \(-0.986716\pi\) |
0.0629439 | − | 0.998017i | \(-0.479951\pi\) | |||||||
\(314\) | 13.7356 | − | 42.2738i | 0.775144 | − | 2.38565i | ||||
\(315\) | 11.5074 | + | 15.9109i | 0.648368 | + | 0.896477i | ||||
\(316\) | −8.92032 | − | 6.48099i | −0.501807 | − | 0.364584i | ||||
\(317\) | 25.8487 | + | 5.49430i | 1.45181 | + | 0.308591i | 0.865259 | − | 0.501325i | \(-0.167154\pi\) |
0.586546 | + | 0.809916i | \(0.300487\pi\) | |||||||
\(318\) | −0.550263 | − | 2.06254i | −0.0308572 | − | 0.115661i | ||||
\(319\) | 7.79211 | − | 29.5107i | 0.436274 | − | 1.65228i | ||||
\(320\) | −6.57450 | − | 11.3874i | −0.367526 | − | 0.636574i | ||||
\(321\) | 17.9170 | + | 9.15360i | 1.00003 | + | 0.510904i | ||||
\(322\) | 12.2913 | − | 5.47246i | 0.684970 | − | 0.304968i | ||||
\(323\) | −2.91161 | + | 2.11541i | −0.162006 | + | 0.117705i | ||||
\(324\) | 42.0193 | − | 8.74145i | 2.33441 | − | 0.485636i | ||||
\(325\) | 0.339828 | − | 1.04588i | 0.0188502 | − | 0.0580151i | ||||
\(326\) | 5.15067 | + | 49.0053i | 0.285269 | + | 2.71415i | ||||
\(327\) | 14.6596 | − | 2.30559i | 0.810680 | − | 0.127499i | ||||
\(328\) | 29.1230 | − | 32.3444i | 1.60805 | − | 1.78592i | ||||
\(329\) | 9.13853 | + | 15.8284i | 0.503824 | + | 0.872648i | ||||
\(330\) | −30.0155 | − | 6.29958i | −1.65230 | − | 0.346780i | ||||
\(331\) | 13.0617 | − | 22.6235i | 0.717934 | − | 1.24350i | −0.243882 | − | 0.969805i | \(-0.578421\pi\) |
0.961817 | − | 0.273694i | \(-0.0882456\pi\) | |||||||
\(332\) | −11.2360 | − | 34.5807i | −0.616653 | − | 1.89786i | ||||
\(333\) | 1.32503 | − | 1.81546i | 0.0726110 | − | 0.0994868i | ||||
\(334\) | −10.4647 | + | 7.60306i | −0.572604 | + | 0.416021i | ||||
\(335\) | 10.1573 | + | 11.2808i | 0.554952 | + | 0.616337i | ||||
\(336\) | −27.7390 | + | 42.6133i | −1.51329 | + | 2.32475i | ||||
\(337\) | 1.39742 | + | 0.622173i | 0.0761226 | + | 0.0338919i | 0.444445 | − | 0.895806i | \(-0.353401\pi\) |
−0.368322 | + | 0.929698i | \(0.620068\pi\) | |||||||
\(338\) | −3.00700 | + | 28.6097i | −0.163559 | + | 1.55616i | ||||
\(339\) | 1.22740 | + | 23.9157i | 0.0666634 | + | 1.29892i | ||||
\(340\) | 6.61052 | − | 11.4498i | 0.358506 | − | 0.620951i | ||||
\(341\) | −20.9884 | + | 10.7907i | −1.13658 | + | 0.584350i | ||||
\(342\) | 17.9835 | + | 10.4347i | 0.972434 | + | 0.564246i | ||||
\(343\) | −3.77138 | − | 11.6071i | −0.203635 | − | 0.626725i | ||||
\(344\) | 46.6768 | − | 20.7819i | 2.51665 | − | 1.12048i | ||||
\(345\) | 4.47457 | + | 3.63146i | 0.240903 | + | 0.195511i | ||||
\(346\) | 36.2221 | − | 7.69925i | 1.94731 | − | 0.413914i | ||||
\(347\) | −17.7118 | + | 3.76476i | −0.950819 | + | 0.202103i | −0.657112 | − | 0.753793i | \(-0.728222\pi\) |
−0.293707 | + | 0.955896i | \(0.594889\pi\) | |||||||
\(348\) | 11.9722 | − | 75.0637i | 0.641780 | − | 4.02384i | ||||
\(349\) | 11.3309 | − | 5.04483i | 0.606528 | − | 0.270043i | −0.0804077 | − | 0.996762i | \(-0.525622\pi\) |
0.686935 | + | 0.726719i | \(0.258956\pi\) | |||||||
\(350\) | 2.02319 | + | 6.22673i | 0.108144 | + | 0.332833i | ||||
\(351\) | 1.89726 | − | 6.98976i | 0.101268 | − | 0.373086i | ||||
\(352\) | −5.06258 | − | 31.2263i | −0.269836 | − | 1.66437i | ||||
\(353\) | 13.2943 | − | 23.0264i | 0.707585 | − | 1.22557i | −0.258165 | − | 0.966101i | \(-0.583118\pi\) |
0.965750 | − | 0.259473i | \(-0.0835489\pi\) | |||||||
\(354\) | 6.19764 | + | 3.16631i | 0.329401 | + | 0.168288i | ||||
\(355\) | −0.336876 | + | 3.20516i | −0.0178795 | + | 0.170112i | ||||
\(356\) | 63.7544 | + | 28.3853i | 3.37897 | + | 1.50442i | ||||
\(357\) | −7.45324 | − | 0.398700i | −0.394467 | − | 0.0211014i | ||||
\(358\) | 13.7063 | + | 15.2223i | 0.724399 | + | 0.804526i | ||||
\(359\) | −21.8909 | + | 15.9047i | −1.15536 | + | 0.839417i | −0.989184 | − | 0.146679i | \(-0.953141\pi\) |
−0.166174 | + | 0.986096i | \(0.553141\pi\) | |||||||
\(360\) | −44.0932 | − | 4.73094i | −2.32392 | − | 0.249342i | ||||
\(361\) | −3.67850 | − | 11.3213i | −0.193605 | − | 0.595856i | ||||
\(362\) | −18.6758 | + | 32.3474i | −0.981576 | + | 1.70014i | ||||
\(363\) | −16.0430 | − | 10.2773i | −0.842038 | − | 0.539419i | ||||
\(364\) | 10.6007 | + | 18.3609i | 0.555626 | + | 0.962373i | ||||
\(365\) | 13.2066 | − | 14.6674i | 0.691264 | − | 0.767727i | ||||
\(366\) | −26.5930 | − | 32.9125i | −1.39004 | − | 1.72036i | ||||
\(367\) | 1.05156 | + | 10.0049i | 0.0548909 | + | 0.522252i | 0.987074 | + | 0.160265i | \(0.0512349\pi\) |
−0.932183 | + | 0.361987i | \(0.882098\pi\) | |||||||
\(368\) | −4.61122 | + | 14.1919i | −0.240377 | + | 0.739803i | ||||
\(369\) | −3.73023 | − | 17.7381i | −0.194188 | − | 0.923411i | ||||
\(370\) | −3.23594 | + | 2.35105i | −0.168228 | + | 0.122225i | ||||
\(371\) | 1.38034 | − | 0.614568i | 0.0716638 | − | 0.0319068i | ||||
\(372\) | −49.3259 | + | 31.9568i | −2.55743 | + | 1.65688i | ||||
\(373\) | 10.7033 | + | 18.5386i | 0.554195 | + | 0.959894i | 0.997966 | + | 0.0637534i | \(0.0203071\pi\) |
−0.443771 | + | 0.896140i | \(0.646360\pi\) | |||||||
\(374\) | 9.03299 | − | 7.36948i | 0.467085 | − | 0.381067i | ||||
\(375\) | −14.5650 | + | 14.5335i | −0.752134 | + | 0.750507i | ||||
\(376\) | −40.3750 | − | 8.58198i | −2.08218 | − | 0.442582i | ||||
\(377\) | −10.3775 | − | 7.53969i | −0.534468 | − | 0.388314i | ||||
\(378\) | 15.3219 | + | 40.3057i | 0.788074 | + | 2.07310i | ||||
\(379\) | 5.03684 | − | 15.5018i | 0.258725 | − | 0.796274i | −0.734348 | − | 0.678774i | \(-0.762512\pi\) |
0.993073 | − | 0.117501i | \(-0.0374882\pi\) | |||||||
\(380\) | −17.4430 | − | 19.3725i | −0.894809 | − | 0.993786i | ||||
\(381\) | 2.95427 | − | 18.5227i | 0.151352 | − | 0.948947i | ||||
\(382\) | −3.39335 | + | 32.2856i | −0.173619 | + | 1.65188i | ||||
\(383\) | −10.6744 | + | 11.8551i | −0.545435 | + | 0.605767i | −0.951338 | − | 0.308149i | \(-0.900291\pi\) |
0.405903 | + | 0.913916i | \(0.366957\pi\) | |||||||
\(384\) | 1.07392 | + | 4.02536i | 0.0548033 | + | 0.205418i | ||||
\(385\) | 1.05706 | − | 21.6828i | 0.0538726 | − | 1.10506i | ||||
\(386\) | 14.6713 | 0.746750 | ||||||||
\(387\) | 4.46921 | − | 20.8044i | 0.227183 | − | 1.05754i | ||||
\(388\) | −26.7249 | − | 19.4168i | −1.35675 | − | 0.985739i | ||||
\(389\) | −2.55135 | − | 24.2745i | −0.129358 | − | 1.23076i | −0.845947 | − | 0.533267i | \(-0.820964\pi\) |
0.716588 | − | 0.697496i | \(-0.245703\pi\) | |||||||
\(390\) | −7.03168 | + | 10.8022i | −0.356063 | + | 0.546991i | ||||
\(391\) | −2.14262 | + | 0.455427i | −0.108357 | + | 0.0230319i | ||||
\(392\) | −20.8852 | − | 9.29869i | −1.05486 | − | 0.469655i | ||||
\(393\) | −6.42534 | − | 7.95223i | −0.324116 | − | 0.401137i | ||||
\(394\) | −3.69512 | − | 0.785422i | −0.186157 | − | 0.0395690i | ||||
\(395\) | 4.74472 | 0.238733 | ||||||||
\(396\) | −42.3089 | − | 21.4786i | −2.12610 | − | 1.07934i | ||||
\(397\) | 0.870040 | 0.0436661 | 0.0218330 | − | 0.999762i | \(-0.493050\pi\) | ||||
0.0218330 | + | 0.999762i | \(0.493050\pi\) | |||||||
\(398\) | 66.7238 | + | 14.1826i | 3.34456 | + | 0.710908i | ||||
\(399\) | −5.28887 | + | 13.7335i | −0.264775 | + | 0.687536i | ||||
\(400\) | −6.63358 | − | 2.95346i | −0.331679 | − | 0.147673i | ||||
\(401\) | 34.4909 | − | 7.33127i | 1.72240 | − | 0.366106i | 0.762614 | − | 0.646854i | \(-0.223916\pi\) |
0.959782 | + | 0.280748i | \(0.0905825\pi\) | |||||||
\(402\) | 15.1012 | + | 29.7172i | 0.753178 | + | 1.48216i | ||||
\(403\) | 1.03673 | + | 9.86378i | 0.0516430 | + | 0.491350i | ||||
\(404\) | −5.37052 | − | 3.90191i | −0.267194 | − | 0.194127i | ||||
\(405\) | −12.4173 | + | 13.6713i | −0.617021 | + | 0.679332i | ||||
\(406\) | 76.3681 | 3.79009 | ||||||||
\(407\) | −2.39776 | + | 0.651861i | −0.118853 | + | 0.0323116i | ||||
\(408\) | 11.9322 | − | 11.9064i | 0.590734 | − | 0.589457i | ||||
\(409\) | 4.51430 | − | 5.01364i | 0.223218 | − | 0.247908i | −0.621125 | − | 0.783711i | \(-0.713324\pi\) |
0.844343 | + | 0.535803i | \(0.179991\pi\) | |||||||
\(410\) | −3.37184 | + | 32.0809i | −0.166523 | + | 1.58436i | ||||
\(411\) | −1.58335 | − | 1.28501i | −0.0781009 | − | 0.0633850i | ||||
\(412\) | 35.4334 | + | 39.3528i | 1.74568 | + | 1.93877i | ||||
\(413\) | −1.52227 | + | 4.68507i | −0.0749060 | + | 0.230537i | ||||
\(414\) | 7.41604 | + | 10.2539i | 0.364479 | + | 0.503953i | ||||
\(415\) | 12.6582 | + | 9.19674i | 0.621368 | + | 0.451450i | ||||
\(416\) | −13.0041 | − | 2.76410i | −0.637577 | − | 0.135521i | ||||
\(417\) | −4.56913 | − | 1.22960i | −0.223751 | − | 0.0602137i | ||||
\(418\) | −8.31563 | − | 21.4290i | −0.406731 | − | 1.04813i | ||||
\(419\) | −0.479668 | − | 0.830810i | −0.0234333 | − | 0.0405877i | 0.854071 | − | 0.520157i | \(-0.174126\pi\) |
−0.877504 | + | 0.479569i | \(0.840793\pi\) | |||||||
\(420\) | −2.77099 | − | 53.9920i | −0.135210 | − | 2.63454i | ||||
\(421\) | −6.60703 | + | 2.94164i | −0.322007 | + | 0.143367i | −0.561373 | − | 0.827563i | \(-0.689727\pi\) |
0.239367 | + | 0.970929i | \(0.423060\pi\) | |||||||
\(422\) | −13.4592 | + | 9.77865i | −0.655182 | + | 0.476017i | ||||
\(423\) | −12.7999 | + | 11.4750i | −0.622352 | + | 0.557933i | ||||
\(424\) | −1.05449 | + | 3.24538i | −0.0512104 | + | 0.157610i | ||||
\(425\) | −0.111419 | − | 1.06008i | −0.00540461 | − | 0.0514214i | ||||
\(426\) | −2.54336 | + | 6.60431i | −0.123226 | + | 0.319980i | ||||
\(427\) | 20.0407 | − | 22.2574i | 0.969836 | − | 1.07711i | ||||
\(428\) | −27.6974 | − | 47.9733i | −1.33880 | − | 2.31888i | ||||
\(429\) | −6.46577 | + | 4.72304i | −0.312170 | + | 0.228031i | ||||
\(430\) | −18.9343 | + | 32.7951i | −0.913092 | + | 1.58152i | ||||
\(431\) | −5.84066 | − | 17.9757i | −0.281335 | − | 0.865859i | −0.987473 | − | 0.157786i | \(-0.949565\pi\) |
0.706139 | − | 0.708074i | \(-0.250435\pi\) | |||||||
\(432\) | −44.5911 | − | 17.2833i | −2.14539 | − | 0.831544i | ||||
\(433\) | −13.3772 | + | 9.71907i | −0.642865 | + | 0.467069i | −0.860833 | − | 0.508887i | \(-0.830057\pi\) |
0.217968 | + | 0.975956i | \(0.430057\pi\) | |||||||
\(434\) | −39.5109 | − | 43.8813i | −1.89659 | − | 2.10637i | ||||
\(435\) | 14.8182 | + | 29.1604i | 0.710478 | + | 1.39813i | ||||
\(436\) | −37.3254 | − | 16.6184i | −1.78756 | − | 0.795875i | ||||
\(437\) | −0.451461 | + | 4.29536i | −0.0215963 | + | 0.205475i | ||||
\(438\) | 36.3745 | − | 23.5659i | 1.73804 | − | 1.12602i | ||||
\(439\) | −8.66007 | + | 14.9997i | −0.413323 | + | 0.715896i | −0.995251 | − | 0.0973443i | \(-0.968965\pi\) |
0.581928 | + | 0.813240i | \(0.302299\pi\) | |||||||
\(440\) | 34.7933 | + | 34.5404i | 1.65871 | + | 1.64665i | ||||
\(441\) | −8.25582 | + | 4.74270i | −0.393134 | + | 0.225843i | ||||
\(442\) | −1.51398 | − | 4.65955i | −0.0720126 | − | 0.221632i | ||||
\(443\) | 22.0428 | − | 9.81409i | 1.04729 | − | 0.466282i | 0.190356 | − | 0.981715i | \(-0.439036\pi\) |
0.856930 | + | 0.515434i | \(0.172369\pi\) | |||||||
\(444\) | −5.77953 | + | 2.21138i | −0.274284 | + | 0.104947i | ||||
\(445\) | −29.3746 | + | 6.24377i | −1.39249 | + | 0.295983i | ||||
\(446\) | −43.6347 | + | 9.27484i | −2.06616 | + | 0.439177i | ||||
\(447\) | 7.24920 | − | 2.77370i | 0.342875 | − | 0.131192i | ||||
\(448\) | 18.6710 | − | 8.31288i | 0.882124 | − | 0.392747i | ||||
\(449\) | 1.85589 | + | 5.71185i | 0.0875850 | + | 0.269559i | 0.985250 | − | 0.171119i | \(-0.0547382\pi\) |
−0.897665 | + | 0.440678i | \(0.854738\pi\) | |||||||
\(450\) | −5.33958 | + | 3.06741i | −0.251710 | + | 0.144599i | ||||
\(451\) | −9.03241 | + | 17.8881i | −0.425320 | + | 0.842318i | ||||
\(452\) | 32.9663 | − | 57.0992i | 1.55060 | − | 2.68572i | ||||
\(453\) | 32.7204 | − | 21.1985i | 1.53734 | − | 0.995995i | ||||
\(454\) | 1.47796 | − | 14.0619i | 0.0693641 | − | 0.659955i | ||||
\(455\) | −8.33454 | − | 3.71077i | −0.390729 | − | 0.173964i | ||||
\(456\) | −15.0569 | − | 29.6301i | −0.705104 | − | 1.38756i | ||||
\(457\) | 21.8085 | + | 24.2208i | 1.02016 | + | 1.13300i | 0.991059 | + | 0.133425i | \(0.0425976\pi\) |
0.0291005 | + | 0.999576i | \(0.490736\pi\) | |||||||
\(458\) | −30.5035 | + | 22.1621i | −1.42534 | + | 1.03557i | ||||
\(459\) | −1.07567 | − | 6.93726i | −0.0502079 | − | 0.323804i | ||||
\(460\) | −4.90295 | − | 15.0897i | −0.228601 | − | 0.703563i | ||||
\(461\) | −2.94681 | + | 5.10403i | −0.137247 | + | 0.237718i | −0.926453 | − | 0.376409i | \(-0.877159\pi\) |
0.789207 | + | 0.614128i | \(0.210492\pi\) | |||||||
\(462\) | 14.6147 | − | 45.3752i | 0.679939 | − | 2.11104i | ||||
\(463\) | 19.3992 | + | 33.6004i | 0.901558 | + | 1.56155i | 0.825471 | + | 0.564444i | \(0.190909\pi\) |
0.0760871 | + | 0.997101i | \(0.475757\pi\) | |||||||
\(464\) | −56.6745 | + | 62.9434i | −2.63105 | + | 2.92207i | ||||
\(465\) | 9.08906 | − | 23.6014i | 0.421495 | − | 1.09449i | ||||
\(466\) | 0.305856 | + | 2.91003i | 0.0141685 | + | 0.134804i | ||||
\(467\) | 8.38637 | − | 25.8106i | 0.388075 | − | 1.19437i | −0.546150 | − | 0.837687i | \(-0.683907\pi\) |
0.934225 | − | 0.356684i | \(-0.116093\pi\) | |||||||
\(468\) | −14.8478 | + | 13.3110i | −0.686342 | + | 0.615299i | ||||
\(469\) | −19.0884 | + | 13.8685i | −0.881421 | + | 0.640390i | ||||
\(470\) | 27.9477 | − | 12.4431i | 1.28913 | − | 0.573958i | ||||
\(471\) | 1.51672 | + | 29.5529i | 0.0698867 | + | 1.36172i | ||||
\(472\) | −5.56265 | − | 9.63479i | −0.256042 | − | 0.443477i | ||||
\(473\) | −18.2281 | + | 14.8712i | −0.838128 | + | 0.683780i | ||||
\(474\) | 10.0612 | + | 2.70757i | 0.462126 | + | 0.124363i | ||||
\(475\) | −2.05577 | − | 0.436967i | −0.0943251 | − | 0.0200494i | ||||
\(476\) | 16.6253 | + | 12.0790i | 0.762018 | + | 0.553639i | ||||
\(477\) | 0.832837 | + | 1.15154i | 0.0381330 | + | 0.0527253i | ||||
\(478\) | 17.6793 | − | 54.4114i | 0.808634 | − | 2.48872i | ||||
\(479\) | 6.85249 | + | 7.61046i | 0.313098 | + | 0.347731i | 0.879069 | − | 0.476695i | \(-0.158165\pi\) |
−0.565971 | + | 0.824425i | \(0.691499\pi\) | |||||||
\(480\) | 26.3229 | + | 21.3631i | 1.20147 | + | 0.975088i | ||||
\(481\) | −0.109155 | + | 1.03854i | −0.00497706 | + | 0.0473535i | ||||
\(482\) | 19.4326 | − | 21.5821i | 0.885129 | − | 0.983036i | ||||
\(483\) | −6.34059 | + | 6.32687i | −0.288507 | + | 0.287883i | ||||
\(484\) | 21.6850 | + | 47.7645i | 0.985681 | + | 2.17111i | ||||
\(485\) | 14.2150 | 0.645470 | ||||||||
\(486\) | −34.1324 | + | 21.9041i | −1.54828 | + | 0.993589i | ||||
\(487\) | 19.8547 | + | 14.4253i | 0.899704 | + | 0.653673i | 0.938390 | − | 0.345578i | \(-0.112317\pi\) |
−0.0386861 | + | 0.999251i | \(0.512317\pi\) | |||||||
\(488\) | 7.07031 | + | 67.2695i | 0.320058 | + | 3.04515i | ||||
\(489\) | −14.8613 | − | 29.2452i | −0.672052 | − | 1.32251i | ||||
\(490\) | 16.5737 | − | 3.52286i | 0.748725 | − | 0.159146i | ||||
\(491\) | 37.7638 | + | 16.8135i | 1.70425 | + | 0.758783i | 0.998745 | + | 0.0500824i | \(0.0159484\pi\) |
0.705509 | + | 0.708701i | \(0.250718\pi\) | |||||||
\(492\) | −17.9351 | + | 46.5716i | −0.808575 | + | 2.09961i | ||||
\(493\) | −12.1615 | − | 2.58501i | −0.547727 | − | 0.116423i | ||||
\(494\) | −9.66013 | −0.434630 | ||||||||
\(495\) | 20.1618 | − | 3.22395i | 0.906206 | − | 0.144906i | ||||
\(496\) | 65.4894 | 2.94056 | ||||||||
\(497\) | −4.89987 | − | 1.04150i | −0.219789 | − | 0.0467177i | ||||
\(498\) | 21.5937 | + | 26.7251i | 0.967637 | + | 1.19758i | ||||
\(499\) | −36.1133 | − | 16.0787i | −1.61665 | − | 0.719780i | −0.618817 | − | 0.785535i | \(-0.712388\pi\) |
−0.997836 | + | 0.0657550i | \(0.979054\pi\) | |||||||
\(500\) | 55.4123 | − | 11.7782i | 2.47811 | − | 0.526739i | ||||
\(501\) | 4.69794 | − | 7.21707i | 0.209888 | − | 0.322435i | ||||
\(502\) | −3.63219 | − | 34.5580i | −0.162112 | − | 1.54240i | ||||
\(503\) | 11.6394 | + | 8.45651i | 0.518975 | + | 0.377057i | 0.816218 | − | 0.577745i | \(-0.196067\pi\) |
−0.297243 | + | 0.954802i | \(0.596067\pi\) | |||||||
\(504\) | 14.4771 | − | 67.3916i | 0.644863 | − | 3.00186i | ||||
\(505\) | 2.85658 | 0.127116 | ||||||||
\(506\) | 0.681230 | − | 13.9737i | 0.0302844 | − | 0.621205i | ||||
\(507\) | −4.93676 | − | 18.5044i | −0.219249 | − | 0.821808i | ||||
\(508\) | −34.5554 | + | 38.3777i | −1.53315 | + | 1.70273i | ||||
\(509\) | 0.284428 | − | 2.70615i | 0.0126071 | − | 0.119948i | −0.986408 | − | 0.164312i | \(-0.947460\pi\) |
0.999015 | + | 0.0443642i | \(0.0141262\pi\) | |||||||
\(510\) | −1.96773 | + | 12.3373i | −0.0871326 | + | 0.546305i | ||||
\(511\) | 20.5275 | + | 22.7981i | 0.908083 | + | 1.00853i | ||||
\(512\) | 13.8476 | − | 42.6186i | 0.611984 | − | 1.88349i | ||||
\(513\) | −13.6643 | − | 2.20973i | −0.603293 | − | 0.0975619i | ||||
\(514\) | −26.2937 | − | 19.1035i | −1.15976 | − | 0.842618i | ||||
\(515\) | −22.2892 | − | 4.73772i | −0.982180 | − | 0.208769i | ||||
\(516\) | −41.4717 | + | 41.3819i | −1.82569 | + | 1.82174i | ||||
\(517\) | 18.9750 | − | 1.06385i | 0.834519 | − | 0.0467881i | ||||
\(518\) | −3.10855 | − | 5.38417i | −0.136582 | − | 0.236567i | ||||
\(519\) | −20.6905 | + | 13.4048i | −0.908214 | + | 0.588404i | ||||
\(520\) | 18.8228 | − | 8.38044i | 0.825433 | − | 0.367506i | ||||
\(521\) | 7.70787 | − | 5.60010i | 0.337688 | − | 0.245345i | −0.405998 | − | 0.913874i | \(-0.633076\pi\) |
0.743686 | + | 0.668529i | \(0.233076\pi\) | |||||||
\(522\) | 14.7817 | + | 70.2906i | 0.646978 | + | 3.07653i | ||||
\(523\) | 2.02097 | − | 6.21991i | 0.0883709 | − | 0.271978i | −0.897099 | − | 0.441831i | \(-0.854329\pi\) |
0.985469 | + | 0.169853i | \(0.0543292\pi\) | |||||||
\(524\) | 2.94229 | + | 27.9941i | 0.128535 | + | 1.22293i | ||||
\(525\) | −2.73936 | − | 3.39033i | −0.119556 | − | 0.147966i | ||||
\(526\) | −9.26202 | + | 10.2865i | −0.403843 | + | 0.448513i | ||||
\(527\) | 4.80670 | + | 8.32545i | 0.209383 | + | 0.362662i | ||||
\(528\) | 26.5528 | + | 45.7195i | 1.15556 | + | 1.98969i | ||||
\(529\) | 10.1856 | − | 17.6420i | 0.442853 | − | 0.767044i | ||||
\(530\) | −0.781536 | − | 2.40532i | −0.0339477 | − | 0.104480i | ||||
\(531\) | −4.60686 | − | 0.494289i | −0.199921 | − | 0.0214503i | ||||
\(532\) | 32.7804 | − | 23.8164i | 1.42121 | − | 1.03257i | ||||
\(533\) | 5.63523 | + | 6.25856i | 0.244089 | + | 0.271088i | ||||
\(534\) | −65.8519 | − | 3.52265i | −2.84969 | − | 0.152440i | ||||
\(535\) | 21.7765 | + | 9.69550i | 0.941478 | + | 0.419173i | ||||
\(536\) | 5.56992 | − | 52.9942i | 0.240584 | − | 2.28900i | ||||
\(537\) | −12.1438 | − | 6.20415i | −0.524044 | − | 0.267729i | ||||
\(538\) | −11.1200 | + | 19.2604i | −0.479417 | + | 0.830374i | ||||
\(539\) | 10.4023 | + | 1.60870i | 0.448061 | + | 0.0692915i | ||||
\(540\) | 49.1589 | − | 13.0011i | 2.11546 | − | 0.559478i | ||||
\(541\) | −2.21102 | − | 6.80483i | −0.0950594 | − | 0.292563i | 0.892210 | − | 0.451621i | \(-0.149154\pi\) |
−0.987269 | + | 0.159059i | \(0.949154\pi\) | |||||||
\(542\) | 17.7809 | − | 7.91656i | 0.763754 | − | 0.340045i | ||||
\(543\) | 3.91656 | − | 24.5561i | 0.168076 | − | 1.05380i | ||||
\(544\) | −12.6045 | + | 2.67918i | −0.540416 | + | 0.114869i | ||||
\(545\) | 17.1976 | − | 3.65546i | 0.736663 | − | 0.156583i | ||||
\(546\) | −15.5559 | − | 12.6248i | −0.665729 | − | 0.540291i | ||||
\(547\) | −8.38471 | + | 3.73311i | −0.358504 | + | 0.159616i | −0.578082 | − | 0.815979i | \(-0.696199\pi\) |
0.219578 | + | 0.975595i | \(0.429532\pi\) | |||||||
\(548\) | 1.73494 | + | 5.33959i | 0.0741128 | + | 0.228096i | ||||
\(549\) | 24.3652 | + | 14.1377i | 1.03988 | + | 0.603381i | ||||
\(550\) | 6.72788 | + | 1.04045i | 0.286878 | + | 0.0443649i | ||||
\(551\) | −12.2574 | + | 21.2304i | −0.522183 | + | 0.904447i | ||||
\(552\) | −1.03684 | − | 20.2025i | −0.0441308 | − | 0.859877i | ||||
\(553\) | −0.770887 | + | 7.33450i | −0.0327815 | + | 0.311895i | ||||
\(554\) | −30.3901 | − | 13.5305i | −1.29115 | − | 0.574858i | ||||
\(555\) | 1.45271 | − | 2.23169i | 0.0616643 | − | 0.0947300i | ||||
\(556\) | 8.71712 | + | 9.68134i | 0.369688 | + | 0.410580i | ||||
\(557\) | −4.26551 | + | 3.09907i | −0.180735 | + | 0.131312i | −0.674475 | − | 0.738298i | \(-0.735630\pi\) |
0.493739 | + | 0.869610i | \(0.335630\pi\) | |||||||
\(558\) | 32.7415 | − | 44.8602i | 1.38606 | − | 1.89908i | ||||
\(559\) | 3.05513 | + | 9.40271i | 0.129218 | + | 0.397692i | ||||
\(560\) | −30.1206 | + | 52.1703i | −1.27283 | + | 2.20460i | ||||
\(561\) | −3.86329 | + | 6.73122i | −0.163108 | + | 0.284192i | ||||
\(562\) | −27.0506 | − | 46.8530i | −1.14106 | − | 1.97638i | ||||
\(563\) | −23.2205 | + | 25.7890i | −0.978628 | + | 1.08688i | 0.0175771 | + | 0.999846i | \(0.494405\pi\) |
−0.996206 | + | 0.0870315i | \(0.972262\pi\) | |||||||
\(564\) | 46.7550 | − | 7.35338i | 1.96874 | − | 0.309633i | ||||
\(565\) | 2.96566 | + | 28.2164i | 0.124766 | + | 1.18707i | ||||
\(566\) | −10.0856 | + | 31.0404i | −0.423931 | + | 1.30473i | ||||
\(567\) | −19.1159 | − | 21.4162i | −0.802793 | − | 0.899394i | ||||
\(568\) | 9.15251 | − | 6.64969i | 0.384031 | − | 0.279015i | ||||
\(569\) | −20.0062 | + | 8.90734i | −0.838704 | + | 0.373415i | −0.780704 | − | 0.624901i | \(-0.785139\pi\) |
−0.0580006 | + | 0.998317i | \(0.518473\pi\) | |||||||
\(570\) | 21.9362 | + | 11.2070i | 0.918806 | + | 0.469409i | ||||
\(571\) | −15.4685 | − | 26.7922i | −0.647335 | − | 1.12122i | −0.983757 | − | 0.179506i | \(-0.942550\pi\) |
0.336422 | − | 0.941711i | \(-0.390783\pi\) | |||||||
\(572\) | 22.0109 | − | 1.23406i | 0.920323 | − | 0.0515988i | ||||
\(573\) | −5.57106 | − | 20.8819i | −0.232734 | − | 0.872354i | ||||
\(574\) | −49.0436 | − | 10.4245i | −2.04704 | − | 0.435112i | ||||
\(575\) | −1.03488 | − | 0.751887i | −0.0431576 | − | 0.0313558i | ||||
\(576\) | 11.2653 | + | 15.5761i | 0.469386 | + | 0.649005i | ||||
\(577\) | 5.47213 | − | 16.8415i | 0.227808 | − | 0.701120i | −0.770187 | − | 0.637818i | \(-0.779837\pi\) |
0.997994 | − | 0.0633014i | \(-0.0201630\pi\) | |||||||
\(578\) | 26.4172 | + | 29.3392i | 1.09881 | + | 1.22035i | ||||
\(579\) | −9.12234 | + | 3.49041i | −0.379112 | + | 0.145057i | ||||
\(580\) | 9.41354 | − | 89.5638i | 0.390876 | − | 3.71894i | ||||
\(581\) | −16.2731 | + | 18.0732i | −0.675124 | + | 0.749801i | ||||
\(582\) | 30.1429 | + | 8.11177i | 1.24947 | + | 0.336244i | ||||
\(583\) | 0.0765035 | − | 1.56927i | 0.00316845 | − | 0.0649926i | ||||
\(584\) | −69.2831 | −2.86695 | ||||||||
\(585\) | 1.80224 | − | 8.38950i | 0.0745135 | − | 0.346863i | ||||
\(586\) | −33.6944 | − | 24.4804i | −1.39190 | − | 1.01128i | ||||
\(587\) | 0.442995 | + | 4.21482i | 0.0182844 | + | 0.173964i | 0.999853 | − | 0.0171459i | \(-0.00545796\pi\) |
−0.981569 | + | 0.191110i | \(0.938791\pi\) | |||||||
\(588\) | 26.1766 | + | 1.40028i | 1.07951 | + | 0.0577465i | ||||
\(589\) | 18.5407 | − | 3.94096i | 0.763958 | − | 0.162384i | ||||
\(590\) | 7.53267 | + | 3.35376i | 0.310115 | + | 0.138072i | ||||
\(591\) | 2.48441 | − | 0.390736i | 0.102195 | − | 0.0160727i | ||||
\(592\) | 6.74461 | + | 1.43361i | 0.277202 | + | 0.0589211i | ||||
\(593\) | 47.0032 | 1.93019 | 0.965095 | − | 0.261898i | \(-0.0843485\pi\) | ||||
0.965095 | + | 0.261898i | \(0.0843485\pi\) | |||||||
\(594\) | 44.5929 | + | 4.66890i | 1.82967 | + | 0.191567i | ||||
\(595\) | −8.84299 | −0.362527 | ||||||||
\(596\) | −20.9030 | − | 4.44306i | −0.856219 | − | 0.181995i | ||||
\(597\) | −44.8617 | + | 7.05562i | −1.83607 | + | 0.288767i | ||||
\(598\) | −5.37127 | − | 2.39144i | −0.219648 | − | 0.0977934i | ||||
\(599\) | 1.92606 | − | 0.409398i | 0.0786969 | − | 0.0167275i | −0.168395 | − | 0.985720i | \(-0.553858\pi\) |
0.247092 | + | 0.968992i | \(0.420525\pi\) | |||||||
\(600\) | 9.82971 | + | 0.525826i | 0.401296 | + | 0.0214668i | ||||
\(601\) | −3.40492 | − | 32.3957i | −0.138890 | − | 1.32145i | −0.812761 | − | 0.582598i | \(-0.802036\pi\) |
0.673871 | − | 0.738849i | \(-0.264630\pi\) | |||||||
\(602\) | −47.6192 | − | 34.5973i | −1.94081 | − | 1.41008i | ||||
\(603\) | −16.4596 | − | 14.8849i | −0.670286 | − | 0.606161i | ||||
\(604\) | −107.342 | −4.36767 | ||||||||
\(605\) | −19.6305 | − | 11.1435i | −0.798093 | − | 0.453049i | ||||
\(606\) | 6.05739 | + | 1.63010i | 0.246065 | + | 0.0662185i | ||||
\(607\) | 3.48583 | − | 3.87141i | 0.141485 | − | 0.157135i | −0.668237 | − | 0.743948i | \(-0.732951\pi\) |
0.809723 | + | 0.586813i | \(0.199618\pi\) | |||||||
\(608\) | −2.65585 | + | 25.2687i | −0.107709 | + | 1.02478i | ||||
\(609\) | −47.4843 | + | 18.1685i | −1.92416 | + | 0.736227i | ||||
\(610\) | −33.5446 | − | 37.2550i | −1.35818 | − | 1.50841i | ||||
\(611\) | 2.46812 | − | 7.59609i | 0.0998495 | − | 0.307305i | ||||
\(612\) | −7.89973 | + | 17.6402i | −0.319328 | + | 0.713062i | ||||
\(613\) | 16.1287 | + | 11.7182i | 0.651430 | + | 0.473292i | 0.863758 | − | 0.503907i | \(-0.168104\pi\) |
−0.212328 | + | 0.977199i | \(0.568104\pi\) | |||||||
\(614\) | −57.4042 | − | 12.2016i | −2.31664 | − | 0.492418i | ||||
\(615\) | −5.53575 | − | 20.7495i | −0.223223 | − | 0.836701i | ||||
\(616\) | −59.0463 | + | 48.1724i | −2.37904 | + | 1.94092i | ||||
\(617\) | 9.04507 | + | 15.6665i | 0.364141 | + | 0.630710i | 0.988638 | − | 0.150317i | \(-0.0480294\pi\) |
−0.624497 | + | 0.781027i | \(0.714696\pi\) | |||||||
\(618\) | −44.5607 | − | 22.7656i | −1.79250 | − | 0.915768i | ||||
\(619\) | 8.11507 | − | 3.61306i | 0.326172 | − | 0.145221i | −0.237117 | − | 0.971481i | \(-0.576202\pi\) |
0.563289 | + | 0.826260i | \(0.309536\pi\) | |||||||
\(620\) | −56.3340 | + | 40.9290i | −2.26243 | + | 1.64375i | ||||
\(621\) | −7.05064 | − | 4.61137i | −0.282933 | − | 0.185048i | ||||
\(622\) | −23.1058 | + | 71.1122i | −0.926457 | + | 2.85134i | ||||
\(623\) | −4.87919 | − | 46.4224i | −0.195481 | − | 1.85987i | ||||
\(624\) | 21.9498 | − | 3.45215i | 0.878696 | − | 0.138197i | ||||
\(625\) | −13.6721 | + | 15.1845i | −0.546886 | + | 0.607378i | ||||
\(626\) | −32.1994 | − | 55.7710i | −1.28695 | − | 2.22906i | ||||
\(627\) | 10.2686 | + | 11.3458i | 0.410089 | + | 0.453108i | ||||
\(628\) | 40.7368 | − | 70.5582i | 1.62557 | − | 2.81558i | ||||
\(629\) | 0.312781 | + | 0.962642i | 0.0124714 | + | 0.0383831i | ||||
\(630\) | 20.6778 | + | 46.7151i | 0.823825 | + | 1.86118i | ||||
\(631\) | −5.66972 | + | 4.11929i | −0.225708 | + | 0.163986i | −0.694892 | − | 0.719114i | \(-0.744548\pi\) |
0.469184 | + | 0.883100i | \(0.344548\pi\) | |||||||
\(632\) | −11.1447 | − | 12.3775i | −0.443313 | − | 0.492349i | ||||
\(633\) | 6.04224 | − | 9.28222i | 0.240157 | − | 0.368935i | ||||
\(634\) | 62.8085 | + | 27.9642i | 2.49445 | + | 1.11060i | ||||
\(635\) | 2.32288 | − | 22.1008i | 0.0921809 | − | 0.877042i | ||||
\(636\) | −0.200548 | − | 3.90763i | −0.00795224 | − | 0.154947i | ||||
\(637\) | 2.21184 | − | 3.83102i | 0.0876364 | − | 0.151791i | ||||
\(638\) | 35.7926 | − | 70.8848i | 1.41704 | − | 2.80636i | ||||
\(639\) | 0.0102023 | − | 4.71152i | 0.000403596 | − | 0.186385i | ||||
\(640\) | 1.52529 | + | 4.69435i | 0.0602922 | + | 0.185560i | ||||
\(641\) | −7.17198 | + | 3.19317i | −0.283276 | + | 0.126123i | −0.543456 | − | 0.839437i | \(-0.682885\pi\) |
0.260180 | + | 0.965560i | \(0.416218\pi\) | |||||||
\(642\) | 40.6443 | + | 32.9860i | 1.60410 | + | 1.30185i | ||||
\(643\) | 5.40557 | − | 1.14899i | 0.213175 | − | 0.0453117i | −0.100086 | − | 0.994979i | \(-0.531912\pi\) |
0.313261 | + | 0.949667i | \(0.398579\pi\) | |||||||
\(644\) | 24.1227 | − | 5.12743i | 0.950566 | − | 0.202049i | ||||
\(645\) | 3.97078 | − | 24.8960i | 0.156349 | − | 0.980279i | ||||
\(646\) | −8.55384 | + | 3.80841i | −0.336546 | + | 0.149840i | ||||
\(647\) | 1.80883 | + | 5.56701i | 0.0711125 | + | 0.218862i | 0.980296 | − | 0.197534i | \(-0.0632932\pi\) |
−0.909184 | + | 0.416395i | \(0.863293\pi\) | |||||||
\(648\) | 64.8306 | + | 0.280768i | 2.54679 | + | 0.0110296i | ||||
\(649\) | 3.63521 | + | 3.60879i | 0.142694 | + | 0.141657i | ||||
\(650\) | 1.43054 | − | 2.47777i | 0.0561105 | − | 0.0971863i | ||||
\(651\) | 35.0069 | + | 17.8847i | 1.37203 | + | 0.700955i | ||||
\(652\) | −9.44093 | + | 89.8245i | −0.369735 | + | 3.51780i | ||||
\(653\) | 3.23007 | + | 1.43812i | 0.126403 | + | 0.0562781i | 0.468963 | − | 0.883218i | \(-0.344628\pi\) |
−0.342561 | + | 0.939496i | \(0.611294\pi\) | |||||||
\(654\) | 38.5535 | + | 2.06236i | 1.50756 | + | 0.0806447i | ||||
\(655\) | −8.10495 | − | 9.00146i | −0.316687 | − | 0.351716i | ||||
\(656\) | 44.9884 | − | 32.6860i | 1.75650 | − | 1.27617i | ||||
\(657\) | −17.0105 | + | 23.3066i | −0.663642 | + | 0.909278i | ||||
\(658\) | 14.6941 | + | 45.2239i | 0.572836 | + | 1.76301i | ||||
\(659\) | 1.11686 | − | 1.93445i | 0.0435066 | − | 0.0753556i | −0.843452 | − | 0.537204i | \(-0.819480\pi\) |
0.886959 | + | 0.461849i | \(0.152814\pi\) | |||||||
\(660\) | −51.4141 | − | 22.7332i | −2.00129 | − | 0.884888i | ||||
\(661\) | 5.80090 | + | 10.0475i | 0.225629 | + | 0.390801i | 0.956508 | − | 0.291706i | \(-0.0942230\pi\) |
−0.730879 | + | 0.682507i | \(0.760890\pi\) | |||||||
\(662\) | 45.4773 | − | 50.5076i | 1.76753 | − | 1.96304i | ||||
\(663\) | 2.04990 | + | 2.53703i | 0.0796117 | + | 0.0985302i | ||||
\(664\) | −5.74113 | − | 54.6232i | −0.222799 | − | 2.11979i | ||||
\(665\) | −5.38799 | + | 16.5825i | −0.208937 | + | 0.643043i | ||||
\(666\) | 4.35399 | − | 3.90332i | 0.168714 | − | 0.151250i | ||||
\(667\) | −12.0712 | + | 8.77023i | −0.467398 | + | 0.339585i | ||||
\(668\) | −21.6596 | + | 9.64350i | −0.838037 | + | 0.373118i | ||||
\(669\) | 24.9247 | − | 16.1479i | 0.963644 | − | 0.624316i | ||||
\(670\) | 19.7466 | + | 34.2021i | 0.762877 | + | 1.32134i | ||||
\(671\) | −11.2666 | − | 29.0334i | −0.434941 | − | 1.12082i | ||||
\(672\) | −37.3003 | + | 37.2196i | −1.43889 | + | 1.43578i | ||||
\(673\) | 44.6803 | + | 9.49708i | 1.72230 | + | 0.366086i | 0.959752 | − | 0.280849i | \(-0.0906161\pi\) |
0.762545 | + | 0.646935i | \(0.223949\pi\) | |||||||
\(674\) | 3.21966 | + | 2.33922i | 0.124017 | + | 0.0901035i | ||||
\(675\) | 2.59029 | − | 3.17759i | 0.0997004 | − | 0.122305i | ||||
\(676\) | −16.2942 | + | 50.1484i | −0.626700 | + | 1.92878i | ||||
\(677\) | 17.4681 | + | 19.4003i | 0.671354 | + | 0.745614i | 0.978545 | − | 0.206034i | \(-0.0660557\pi\) |
−0.307191 | + | 0.951648i | \(0.599389\pi\) | |||||||
\(678\) | −9.81295 | + | 61.5253i | −0.376864 | + | 2.36287i | ||||
\(679\) | −2.30955 | + | 21.9739i | −0.0886323 | + | 0.843280i | ||||
\(680\) | 13.3633 | − | 14.8414i | 0.512457 | − | 0.569142i | ||||
\(681\) | 2.42645 | + | 9.09502i | 0.0929818 | + | 0.348522i | ||||
\(682\) | −59.2488 | + | 16.1075i | −2.26875 | + | 0.616789i | ||||
\(683\) | 24.9486 | 0.954631 | 0.477315 | − | 0.878732i | \(-0.341610\pi\) | ||||
0.477315 | + | 0.878732i | \(0.341610\pi\) | |||||||
\(684\) | 28.2659 | + | 25.5618i | 1.08077 | + | 0.977380i | ||||
\(685\) | −1.95455 | − | 1.42006i | −0.0746795 | − | 0.0542579i | ||||
\(686\) | −3.31900 | − | 31.5782i | −0.126720 | − | 1.20566i | ||||
\(687\) | 13.6940 | − | 21.0370i | 0.522458 | − | 0.802612i | ||||
\(688\) | 63.8547 | − | 13.5727i | 2.43444 | − | 0.517456i | ||||
\(689\) | −0.603205 | − | 0.268564i | −0.0229803 | − | 0.0102315i | ||||
\(690\) | 9.42269 | + | 11.6619i | 0.358716 | + | 0.443959i | ||||
\(691\) | −20.2061 | − | 4.29493i | −0.768675 | − | 0.163387i | −0.193148 | − | 0.981170i | \(-0.561870\pi\) |
−0.575527 | + | 0.817783i | \(0.695203\pi\) | |||||||
\(692\) | 67.8768 | 2.58029 | ||||||||
\(693\) | 1.70792 | + | 31.6904i | 0.0648786 | + | 1.20382i | ||||
\(694\) | −47.1100 | −1.78827 | ||||||||
\(695\) | −5.48345 | − | 1.16554i | −0.207999 | − | 0.0442116i | ||||
\(696\) | 41.2641 | − | 107.150i | 1.56411 | − | 4.06150i | ||||
\(697\) | 7.45725 | + | 3.32018i | 0.282464 | + | 0.125761i | ||||
\(698\) | 31.5640 | − | 6.70914i | 1.19472 | − | 0.253945i | ||||
\(699\) | −0.882493 | − | 1.73664i | −0.0333790 | − | 0.0656856i | ||||
\(700\) | 1.25441 | + | 11.9349i | 0.0474122 | + | 0.451097i | ||||
\(701\) | 14.4600 | + | 10.5058i | 0.546148 | + | 0.396800i | 0.826363 | − | 0.563138i | \(-0.190406\pi\) |
−0.280215 | + | 0.959937i | \(0.590406\pi\) | |||||||
\(702\) | 8.60911 | − | 16.7615i | 0.324930 | − | 0.632623i | ||||
\(703\) | 1.99574 | 0.0752708 | ||||||||
\(704\) | 1.03482 | − | 21.2266i | 0.0390011 | − | 0.800006i | ||||
\(705\) | −14.4170 | + | 14.3859i | −0.542978 | + | 0.541803i | ||||
\(706\) | 46.2873 | − | 51.4073i | 1.74205 | − | 1.93474i | ||||
\(707\) | −0.464116 | + | 4.41577i | −0.0174549 | + | 0.166072i | ||||
\(708\) | 9.90508 | + | 8.03875i | 0.372256 | + | 0.302115i | ||||
\(709\) | 33.5869 | + | 37.3021i | 1.26138 | + | 1.40091i | 0.878942 | + | 0.476928i | \(0.158250\pi\) |
0.382441 | + | 0.923980i | \(0.375083\pi\) | |||||||
\(710\) | −2.59103 | + | 7.97437i | −0.0972396 | + | 0.299273i | ||||
\(711\) | −6.90001 | + | 0.710118i | −0.258771 | + | 0.0266315i | ||||
\(712\) | 85.2850 | + | 61.9632i | 3.19619 | + | 2.32217i | ||||
\(713\) | 11.2847 | + | 2.39864i | 0.422616 | + | 0.0898299i | ||||
\(714\) | −18.7516 | − | 5.04624i | −0.701760 | − | 0.188851i | ||||
\(715\) | −7.35060 | + | 5.99693i | −0.274897 | + | 0.224272i | ||||
\(716\) | 18.7728 | + | 32.5155i | 0.701574 | + | 1.21516i | ||||
\(717\) | 1.95220 | + | 38.0381i | 0.0729061 | + | 1.42056i | ||||
\(718\) | −64.3119 | + | 28.6335i | −2.40010 | + | 1.06859i | ||||
\(719\) | −16.9117 | + | 12.2871i | −0.630701 | + | 0.458231i | −0.856643 | − | 0.515909i | \(-0.827454\pi\) |
0.225942 | + | 0.974141i | \(0.427454\pi\) | |||||||
\(720\) | −53.8486 | − | 17.6255i | −2.00682 | − | 0.656862i | ||||
\(721\) | 10.9451 | − | 33.6854i | 0.407615 | − | 1.25451i | ||||
\(722\) | −3.23726 | − | 30.8005i | −0.120478 | − | 1.14628i | ||||
\(723\) | −6.94828 | + | 18.0425i | −0.258409 | + | 0.671007i | ||||
\(724\) | −45.8111 | + | 50.8784i | −1.70256 | + | 1.89088i | ||||
\(725\) | −3.63033 | − | 6.28792i | −0.134827 | − | 0.233528i | ||||
\(726\) | −35.2675 | − | 34.8320i | −1.30890 | − | 1.29274i | ||||
\(727\) | 8.77099 | − | 15.1918i | 0.325298 | − | 0.563433i | −0.656274 | − | 0.754522i | \(-0.727869\pi\) |
0.981573 | + | 0.191089i | \(0.0612020\pi\) | |||||||
\(728\) | 9.89649 | + | 30.4583i | 0.366788 | + | 1.12886i | ||||
\(729\) | 16.0118 | − | 21.7399i | 0.593028 | − | 0.805182i | ||||
\(730\) | 41.5425 | − | 30.1824i | 1.53756 | − | 1.11710i | ||||
\(731\) | 6.41218 | + | 7.12145i | 0.237163 | + | 0.263396i | ||||
\(732\) | −35.1359 | − | 69.1431i | −1.29866 | − | 2.55560i | ||||
\(733\) | −9.39818 | − | 4.18434i | −0.347130 | − | 0.154552i | 0.225763 | − | 0.974182i | \(-0.427512\pi\) |
−0.572893 | + | 0.819630i | \(0.694179\pi\) | |||||||
\(734\) | −2.73583 | + | 26.0297i | −0.100981 | + | 0.960772i | ||||
\(735\) | −9.46713 | + | 6.13346i | −0.349200 | + | 0.226236i | ||||
\(736\) | −7.73219 | + | 13.3925i | −0.285012 | + | 0.493656i | ||||
\(737\) | 3.92633 | + | 24.2178i | 0.144628 | + | 0.892075i | ||||
\(738\) | 0.102116 | − | 47.1584i | 0.00375895 | − | 1.73592i | ||||
\(739\) | −15.4883 | − | 47.6682i | −0.569748 | − | 1.75350i | −0.653405 | − | 0.757009i | \(-0.726660\pi\) |
0.0836567 | − | 0.996495i | \(-0.473340\pi\) | |||||||
\(740\) | −6.69768 | + | 2.98200i | −0.246212 | + | 0.109620i | ||||
\(741\) | 6.00649 | − | 2.29822i | 0.220654 | − | 0.0844271i | ||||
\(742\) | 3.84518 | − | 0.817317i | 0.141161 | − | 0.0300047i | ||||
\(743\) | −1.99653 | + | 0.424375i | −0.0732455 | + | 0.0155688i | −0.244389 | − | 0.969677i | \(-0.578587\pi\) |
0.171143 | + | 0.985246i | \(0.445254\pi\) | |||||||
\(744\) | −82.9175 | + | 31.7261i | −3.03990 | + | 1.16313i | ||||
\(745\) | 8.40082 | − | 3.74029i | 0.307782 | − | 0.137033i | ||||
\(746\) | 17.2101 | + | 52.9673i | 0.630108 | + | 1.93927i | ||||
\(747\) | −19.7847 | − | 11.4799i | −0.723883 | − | 0.420027i | ||||
\(748\) | 19.0037 | − | 9.77034i | 0.694844 | − | 0.357239i | ||||
\(749\) | −18.5256 | + | 32.0873i | −0.676911 | + | 1.17244i | ||||
\(750\) | −44.9270 | + | 29.1068i | −1.64050 | + | 1.06283i | ||||
\(751\) | 3.52472 | − | 33.5355i | 0.128619 | − | 1.22373i | −0.719717 | − | 0.694268i | \(-0.755728\pi\) |
0.848336 | − | 0.529459i | \(-0.177605\pi\) | |||||||
\(752\) | −48.1788 | − | 21.4506i | −1.75690 | − | 0.782222i | ||||
\(753\) | 10.4800 | + | 20.6234i | 0.381913 | + | 0.751557i | ||||
\(754\) | −22.3306 | − | 24.8007i | −0.813233 | − | 0.903187i | ||||
\(755\) | 37.3692 | − | 27.1503i | 1.36000 | − | 0.988101i | ||||
\(756\) | 12.1104 | + | 78.1032i | 0.440452 | + | 2.84059i | ||||
\(757\) | −8.85943 | − | 27.2665i | −0.322001 | − | 0.991019i | −0.972776 | − | 0.231748i | \(-0.925556\pi\) |
0.650775 | − | 0.759271i | \(-0.274444\pi\) | |||||||
\(758\) | 21.2032 | − | 36.7250i | 0.770134 | − | 1.33391i | ||||
\(759\) | 2.90086 | + | 8.85064i | 0.105295 | + | 0.321258i | ||||
\(760\) | −19.6887 | − | 34.1018i | −0.714184 | − | 1.23700i | ||||
\(761\) | −20.6312 | + | 22.9133i | −0.747880 | + | 0.830605i | −0.990210 | − | 0.139589i | \(-0.955422\pi\) |
0.242329 | + | 0.970194i | \(0.422089\pi\) | |||||||
\(762\) | 17.5374 | − | 45.5392i | 0.635315 | − | 1.64971i | ||||
\(763\) | 2.85655 | + | 27.1783i | 0.103414 | + | 0.983921i | ||||
\(764\) | −18.3877 | + | 56.5917i | −0.665245 | + | 2.04741i | ||||
\(765\) | −1.71164 | − | 8.13924i | −0.0618844 | − | 0.294275i | ||||
\(766\) | −33.5772 | + | 24.3953i | −1.21319 | + | 0.881437i | ||||
\(767\) | 1.96661 | − | 0.875589i | 0.0710100 | − | 0.0316157i | ||||
\(768\) | 1.69324 | + | 32.9923i | 0.0610995 | + | 1.19051i | ||||
\(769\) | 15.3073 | + | 26.5131i | 0.551997 | + | 0.956086i | 0.998130 | + | 0.0611200i | \(0.0194672\pi\) |
−0.446134 | + | 0.894966i | \(0.647199\pi\) | |||||||
\(770\) | 14.4187 | − | 54.6072i | 0.519614 | − | 1.96791i | ||||
\(771\) | 20.8938 | + | 5.62272i | 0.752471 | + | 0.202497i | ||||
\(772\) | 26.3042 | + | 5.59112i | 0.946708 | + | 0.201229i | ||||
\(773\) | −41.9276 | − | 30.4622i | −1.50803 | − | 1.09565i | −0.967041 | − | 0.254621i | \(-0.918049\pi\) |
−0.540991 | − | 0.841028i | \(-0.681951\pi\) | |||||||
\(774\) | 22.6269 | − | 50.5261i | 0.813307 | − | 1.81612i | ||||
\(775\) | −1.73482 | + | 5.33921i | −0.0623164 | + | 0.191790i | ||||
\(776\) | −33.3892 | − | 37.0824i | −1.19860 | − | 1.33118i | ||||
\(777\) | 3.21377 | + | 2.60823i | 0.115293 | + | 0.0935696i | ||||
\(778\) | 6.63781 | − | 63.1545i | 0.237977 | − | 2.26420i | ||||
\(779\) | 10.7697 | − | 11.9610i | 0.385866 | − | 0.428548i | ||||
\(780\) | −16.7237 | + | 16.6876i | −0.598806 | + | 0.597511i | ||||
\(781\) | −3.26321 | + | 4.05992i | −0.116767 | + | 0.145275i | ||||
\(782\) | −5.69895 | −0.203794 | ||||||||
\(783\) | −25.9136 | − | 40.1887i | −0.926078 | − | 1.43623i | ||||
\(784\) | −23.6311 | − | 17.1690i | −0.843967 | − | 0.613178i | ||||
\(785\) | 3.66471 | + | 34.8673i | 0.130799 | + | 1.24447i | ||||
\(786\) | −12.0499 | − | 23.7127i | −0.429806 | − | 0.845804i | ||||
\(787\) | −50.0695 | + | 10.6426i | −1.78478 | + | 0.379368i | −0.977523 | − | 0.210827i | \(-0.932384\pi\) |
−0.807261 | + | 0.590194i | \(0.799051\pi\) | |||||||
\(788\) | −6.32566 | − | 2.81637i | −0.225342 | − | 0.100329i | ||||
\(789\) | 3.31171 | − | 8.59947i | 0.117900 | − | 0.306149i | ||||
\(790\) | 12.0745 | + | 2.56652i | 0.429592 | + | 0.0913127i | ||||
\(791\) | −44.0994 | −1.56799 | ||||||||
\(792\) | −55.7677 | − | 45.0231i | −1.98162 | − | 1.59983i | ||||
\(793\) | −13.0882 | −0.464775 | ||||||||
\(794\) | 2.21411 | + | 0.470623i | 0.0785757 | + | 0.0167018i | ||||
\(795\) | 1.05819 | + | 1.30965i | 0.0375301 | + | 0.0464485i | ||||
\(796\) | 114.224 | + | 50.8559i | 4.04857 | + | 1.80254i | ||||
\(797\) | −13.4884 | + | 2.86705i | −0.477784 | + | 0.101556i | −0.440508 | − | 0.897749i | \(-0.645202\pi\) |
−0.0372765 | + | 0.999305i | \(0.511868\pi\) | |||||||
\(798\) | −20.8880 | + | 32.0887i | −0.739429 | + | 1.13593i | ||||
\(799\) | −0.809220 | − | 7.69921i | −0.0286281 | − | 0.272379i | ||||
\(800\) | −6.08800 | − | 4.42319i | −0.215243 | − | 0.156383i | ||||
\(801\) | 41.7836 | − | 13.4763i | 1.47635 | − | 0.476163i | ||||
\(802\) | 91.7393 | 3.23943 | ||||||||
\(803\) | 30.7821 | − | 8.36849i | 1.08628 | − | 0.295318i | ||||
\(804\) | 15.7499 | + | 59.0349i | 0.555455 | + | 2.08200i | ||||
\(805\) | −7.10100 | + | 7.88646i | −0.250277 | + | 0.277961i | ||||
\(806\) | −2.69723 | + | 25.6625i | −0.0950060 | + | 0.903922i | ||||
\(807\) | 2.33201 | − | 14.6213i | 0.0820908 | − | 0.514693i | ||||
\(808\) | −6.70973 | − | 7.45191i | −0.236048 | − | 0.262157i | ||||
\(809\) | −3.05410 | + | 9.39956i | −0.107377 | + | 0.330471i | −0.990281 | − | 0.139082i | \(-0.955585\pi\) |
0.882904 | + | 0.469553i | \(0.155585\pi\) | |||||||
\(810\) | −38.9951 | + | 28.0744i | −1.37015 | + | 0.986432i | ||||
\(811\) | 16.0323 | + | 11.6482i | 0.562972 | + | 0.409023i | 0.832545 | − | 0.553957i | \(-0.186883\pi\) |
−0.269574 | + | 0.962980i | \(0.586883\pi\) | |||||||
\(812\) | 136.920 | + | 29.1033i | 4.80496 | + | 1.02133i | ||||
\(813\) | −9.17241 | + | 9.15257i | −0.321691 | + | 0.320995i | ||||
\(814\) | −6.45451 | + | 0.361878i | −0.226230 | + | 0.0126838i | ||||
\(815\) | −19.4329 | − | 33.6588i | −0.680706 | − | 1.17902i | ||||
\(816\) | 18.0751 | − | 11.7103i | 0.632756 | − | 0.409943i | ||||
\(817\) | 17.2612 | − | 7.68517i | 0.603892 | − | 0.268870i | ||||
\(818\) | 14.2001 | − | 10.3170i | 0.496496 | − | 0.360725i | ||||
\(819\) | 12.6759 | + | 4.14901i | 0.442931 | + | 0.144978i | ||||
\(820\) | −18.2712 | + | 56.2329i | −0.638057 | + | 1.96374i | ||||
\(821\) | 0.960186 | + | 9.13556i | 0.0335107 | + | 0.318833i | 0.998417 | + | 0.0562398i | \(0.0179111\pi\) |
−0.964907 | + | 0.262593i | \(0.915422\pi\) | |||||||
\(822\) | −3.33427 | − | 4.12661i | −0.116296 | − | 0.143932i | ||||
\(823\) | 7.54787 | − | 8.38276i | 0.263102 | − | 0.292205i | −0.597090 | − | 0.802174i | \(-0.703677\pi\) |
0.860193 | + | 0.509969i | \(0.170343\pi\) | |||||||
\(824\) | 39.9952 | + | 69.2737i | 1.39330 | + | 2.41326i | ||||
\(825\) | −4.43080 | + | 0.953680i | −0.154261 | + | 0.0332029i | ||||
\(826\) | −6.40817 | + | 11.0993i | −0.222969 | + | 0.386193i | ||||
\(827\) | 5.47962 | + | 16.8645i | 0.190545 | + | 0.586437i | 1.00000 | 0.000745205i | \(-0.000237206\pi\) | |
−0.809455 | + | 0.587182i | \(0.800237\pi\) | |||||||
\(828\) | 9.38852 | + | 21.2105i | 0.326274 | + | 0.737114i | ||||
\(829\) | 32.1439 | − | 23.3539i | 1.11640 | − | 0.811115i | 0.132744 | − | 0.991150i | \(-0.457621\pi\) |
0.983660 | + | 0.180035i | \(0.0576210\pi\) | |||||||
\(830\) | 27.2384 | + | 30.2513i | 0.945458 | + | 1.05004i | ||||
\(831\) | 22.1150 | + | 1.18301i | 0.767161 | + | 0.0410381i | ||||
\(832\) | −8.15917 | − | 3.63270i | −0.282868 | − | 0.125941i | ||||
\(833\) | 0.448195 | − | 4.26429i | 0.0155290 | − | 0.147749i | ||||
\(834\) | −10.9626 | − | 5.60066i | −0.379602 | − | 0.193935i | ||||
\(835\) | 5.10128 | − | 8.83568i | 0.176537 | − | 0.305771i | ||||
\(836\) | −6.74266 | − | 41.5891i | −0.233200 | − | 1.43839i | ||||
\(837\) | −9.68547 | + | 35.6827i | −0.334779 | + | 1.23337i | ||||
\(838\) | −0.771274 | − | 2.37374i | −0.0266432 | − | 0.0819993i | ||||
\(839\) | 11.5090 | − | 5.12413i | 0.397334 | − | 0.176905i | −0.198335 | − | 0.980134i | \(-0.563554\pi\) |
0.595669 | + | 0.803230i | \(0.296887\pi\) | |||||||
\(840\) | 12.8626 | − | 80.6458i | 0.443800 | − | 2.78254i | ||||
\(841\) | −54.4737 | + | 11.5787i | −1.87840 | + | 0.399267i | ||||
\(842\) | −18.4050 | + | 3.91210i | −0.634277 | + | 0.134820i | ||||
\(843\) | 27.9662 | + | 22.6968i | 0.963209 | + | 0.781719i | ||||
\(844\) | −27.8575 | + | 12.4030i | −0.958894 | + | 0.426927i | ||||
\(845\) | −7.01166 | − | 21.5797i | −0.241208 | − | 0.742363i | ||||
\(846\) | −38.7807 | + | 22.2782i | −1.33331 | + | 0.765940i | ||||
\(847\) | 20.4153 | − | 28.5348i | 0.701480 | − | 0.980466i | ||||
\(848\) | −2.17995 | + | 3.77578i | −0.0748598 | + | 0.129661i | ||||
\(849\) | −1.11368 | − | 21.6998i | −0.0382214 | − | 0.744735i | ||||
\(850\) | 0.289877 | − | 2.75799i | 0.00994270 | − | 0.0945984i | ||||
\(851\) | 1.10968 | + | 0.494062i | 0.0380394 | + | 0.0169362i | ||||
\(852\) | −7.07685 | + | 10.8716i | −0.242449 | + | 0.372455i | ||||
\(853\) | 2.31429 | + | 2.57028i | 0.0792398 | + | 0.0880047i | 0.781461 | − | 0.623954i | \(-0.214475\pi\) |
−0.702221 | + | 0.711959i | \(0.747808\pi\) | |||||||
\(854\) | 63.0397 | − | 45.8010i | 2.15717 | − | 1.56728i | ||||
\(855\) | −16.3057 | − | 1.74951i | −0.557645 | − | 0.0598320i | ||||
\(856\) | −25.8575 | − | 79.5813i | −0.883792 | − | 2.72003i | ||||
\(857\) | −25.3321 | + | 43.8764i | −0.865327 | + | 1.49879i | 0.00139610 | + | 0.999999i | \(0.499556\pi\) |
−0.866723 | + | 0.498790i | \(0.833778\pi\) | |||||||
\(858\) | −19.0091 | + | 8.52188i | −0.648960 | + | 0.290932i | ||||
\(859\) | −15.9394 | − | 27.6079i | −0.543846 | − | 0.941969i | −0.998679 | − | 0.0513919i | \(-0.983634\pi\) |
0.454833 | − | 0.890577i | \(-0.349699\pi\) | |||||||
\(860\) | −46.4452 | + | 51.5827i | −1.58377 | + | 1.75895i | ||||
\(861\) | 32.9745 | − | 5.18605i | 1.12377 | − | 0.176740i | ||||
\(862\) | −5.14007 | − | 48.9045i | −0.175071 | − | 1.66569i | ||||
\(863\) | 5.68134 | − | 17.4854i | 0.193395 | − | 0.595209i | −0.806596 | − | 0.591102i | \(-0.798693\pi\) |
0.999992 | − | 0.00410640i | \(-0.00130711\pi\) | |||||||
\(864\) | −41.4774 | − | 27.1277i | −1.41109 | − | 0.922903i | ||||
\(865\) | −23.6302 | + | 17.1683i | −0.803450 | + | 0.583740i | ||||
\(866\) | −39.2999 | + | 17.4974i | −1.33546 | + | 0.594587i | ||||
\(867\) | −23.4057 | − | 11.9578i | −0.794900 | − | 0.406107i | ||||
\(868\) | −54.1163 | − | 93.7322i | −1.83683 | − | 3.18148i | ||||
\(869\) | 6.44657 | + | 4.15310i | 0.218685 | + | 0.140884i | ||||
\(870\) | 21.9364 | + | 82.2237i | 0.743713 | + | 2.78764i | ||||
\(871\) | 10.0854 | + | 2.14372i | 0.341732 | + | 0.0726373i | ||||
\(872\) | −49.9307 | − | 36.2768i | −1.69087 | − | 1.22849i | ||||
\(873\) | −20.6722 | + | 2.12749i | −0.699647 | + | 0.0720045i | ||||
\(874\) | −3.47234 | + | 10.6868i | −0.117454 | + | 0.361485i | ||||
\(875\) | −25.3540 | − | 28.1584i | −0.857121 | − | 0.951929i | ||||
\(876\) | 74.1967 | − | 28.3893i | 2.50687 | − | 0.959186i | ||||
\(877\) | 0.688685 | − | 6.55240i | 0.0232552 | − | 0.221259i | −0.976722 | − | 0.214509i | \(-0.931185\pi\) |
0.999977 | − | 0.00674970i | \(-0.00214851\pi\) | |||||||
\(878\) | −30.1521 | + | 33.4873i | −1.01758 | + | 1.13014i | ||||
\(879\) | 26.7746 | + | 7.20531i | 0.903085 | + | 0.243029i | ||||
\(880\) | 34.3074 | + | 52.4093i | 1.15650 | + | 1.76672i | ||||
\(881\) | −57.1119 | −1.92415 | −0.962074 | − | 0.272788i | \(-0.912054\pi\) | ||||
−0.962074 | + | 0.272788i | \(0.912054\pi\) | |||||||
\(882\) | −23.5751 | + | 7.60362i | −0.793815 | + | 0.256027i | ||||
\(883\) | 35.9401 | + | 26.1120i | 1.20948 | + | 0.878740i | 0.995184 | − | 0.0980282i | \(-0.0312535\pi\) |
0.214298 | + | 0.976768i | \(0.431254\pi\) | |||||||
\(884\) | −0.938693 | − | 8.93106i | −0.0315717 | − | 0.300384i | ||||
\(885\) | −5.48156 | − | 0.293228i | −0.184261 | − | 0.00985675i | ||||
\(886\) | 61.4039 | − | 13.0518i | 2.06290 | − | 0.438484i | ||||
\(887\) | −29.6584 | − | 13.2048i | −0.995830 | − | 0.443372i | −0.156902 | − | 0.987614i | \(-0.550151\pi\) |
−0.838928 | + | 0.544242i | \(0.816817\pi\) | |||||||
\(888\) | −9.23400 | + | 1.45228i | −0.309873 | + | 0.0487352i | ||||
\(889\) | 33.7865 | + | 7.18154i | 1.13316 | + | 0.240861i | ||||
\(890\) | −78.1309 | −2.61895 | ||||||||
\(891\) | −28.8378 | + | 7.70595i | −0.966102 | + | 0.258159i | ||||
\(892\) | −81.7672 | −2.73777 | ||||||||
\(893\) | −14.9308 | − | 3.17363i | −0.499639 | − | 0.106201i | ||||
\(894\) | 19.9483 | − | 3.13737i | 0.667173 | − | 0.104929i | ||||
\(895\) | −14.7597 | − | 6.57145i | −0.493363 | − | 0.219659i | ||||
\(896\) | −7.50444 | + | 1.59512i | −0.250706 | + | 0.0532892i | ||||
\(897\) | 3.90870 | + | 0.209090i | 0.130508 | + | 0.00698131i | ||||
\(898\) | 1.63328 | + | 15.5396i | 0.0545032 | + | 0.518563i | ||||
\(899\) | 52.9770 | + | 38.4900i | 1.76688 | + | 1.28371i | ||||
\(900\) | −10.7423 | + | 3.46469i | −0.358077 | + | 0.115490i | ||||
\(901\) | −0.640004 | −0.0213216 | ||||||||
\(902\) | −32.6620 | + | 40.6364i | −1.08753 | + | 1.35304i | ||||
\(903\) | 37.8397 | + | 10.1830i | 1.25923 | + | 0.338870i | ||||
\(904\) | 66.6417 | − | 74.0131i | 2.21647 | − | 2.46164i | ||||
\(905\) | 3.07951 | − | 29.2996i | 0.102367 | − | 0.973952i | ||||
\(906\) | 94.7347 | − | 36.2476i | 3.14735 | − | 1.20425i | ||||
\(907\) | −17.1547 | − | 19.0523i | −0.569614 | − | 0.632620i | 0.387660 | − | 0.921802i | \(-0.373283\pi\) |
−0.957274 | + | 0.289182i | \(0.906617\pi\) | |||||||
\(908\) | 8.00870 | − | 24.6482i | 0.265778 | − | 0.817981i | ||||
\(909\) | −4.15419 | + | 0.427530i | −0.137786 | + | 0.0141803i | ||||
\(910\) | −19.2028 | − | 13.9516i | −0.636565 | − | 0.462492i | ||||
\(911\) | −10.8636 | − | 2.30912i | −0.359926 | − | 0.0765047i | 0.0243994 | − | 0.999702i | \(-0.492233\pi\) |
−0.384326 | + | 0.923198i | \(0.625566\pi\) | |||||||
\(912\) | −10.9463 | − | 41.0298i | −0.362469 | − | 1.35863i | ||||
\(913\) | 9.14852 | + | 23.5753i | 0.302772 | + | 0.780230i | ||||
\(914\) | 42.3975 | + | 73.4346i | 1.40238 | + | 2.42900i | ||||
\(915\) | 29.7206 | + | 15.1840i | 0.982533 | + | 0.501966i | ||||
\(916\) | −63.1356 | + | 28.1098i | −2.08606 | + | 0.928773i | ||||
\(917\) | 15.2315 | − | 11.0663i | 0.502988 | − | 0.365442i | ||||
\(918\) | 1.01511 | − | 18.2360i | 0.0335038 | − | 0.601878i | ||||
\(919\) | −6.38466 | + | 19.6500i | −0.210611 | + | 0.648193i | 0.788826 | + | 0.614617i | \(0.210690\pi\) |
−0.999436 | + | 0.0335757i | \(0.989310\pi\) | |||||||
\(920\) | −2.50522 | − | 23.8355i | −0.0825946 | − | 0.785835i | ||||
\(921\) | 38.5957 | − | 6.07013i | 1.27177 | − | 0.200018i | ||||
\(922\) | −10.2600 | + | 11.3949i | −0.337896 | + | 0.375271i | ||||
\(923\) | 1.09453 | + | 1.89578i | 0.0360269 | + | 0.0624005i | ||||
\(924\) | 43.4949 | − | 75.7835i | 1.43088 | − | 2.49309i | ||||
\(925\) | −0.295544 | + | 0.511898i | −0.00971743 | + | 0.0168311i | ||||
\(926\) | 31.1926 | + | 96.0010i | 1.02505 | + | 3.15479i | ||||
\(927\) | 33.1232 | + | 3.55392i | 1.08791 | + | 0.116726i | ||||
\(928\) | −71.0122 | + | 51.5934i | −2.33109 | + | 1.69364i | ||||
\(929\) | −7.73866 | − | 8.59466i | −0.253897 | − | 0.281982i | 0.602699 | − | 0.797969i | \(-0.294092\pi\) |
−0.856596 | + | 0.515987i | \(0.827425\pi\) | |||||||
\(930\) | 35.8966 | − | 55.1452i | 1.17710 | − | 1.80828i | ||||
\(931\) | −7.72339 | − | 3.43867i | −0.253124 | − | 0.112698i | ||||
\(932\) | −0.560620 | + | 5.33395i | −0.0183637 | + | 0.174719i | ||||
\(933\) | −2.55139 | − | 49.7133i | −0.0835289 | − | 1.62754i | ||||
\(934\) | 35.3034 | − | 61.1472i | 1.15516 | − | 2.00080i | ||||
\(935\) | −4.14457 | + | 8.20805i | −0.135542 | + | 0.268432i | ||||
\(936\) | −26.1188 | + | 15.0044i | −0.853718 | + | 0.490433i | ||||
\(937\) | 4.26759 | + | 13.1343i | 0.139416 | + | 0.429078i | 0.996251 | − | 0.0865129i | \(-0.0275724\pi\) |
−0.856835 | + | 0.515591i | \(0.827572\pi\) | |||||||
\(938\) | −56.0786 | + | 24.9678i | −1.83103 | + | 0.815228i | ||||
\(939\) | 33.2893 | + | 27.0169i | 1.08636 | + | 0.881663i | ||||
\(940\) | 54.8494 | − | 11.6586i | 1.78899 | − | 0.380262i | ||||
\(941\) | 20.5440 | − | 4.36675i | 0.669714 | − | 0.142352i | 0.139508 | − | 0.990221i | \(-0.455448\pi\) |
0.530206 | + | 0.847869i | \(0.322115\pi\) | |||||||
\(942\) | −12.1260 | + | 76.0275i | −0.395086 | + | 2.47711i | ||||
\(943\) | 8.94929 | − | 3.98448i | 0.291429 | − | 0.129753i | ||||
\(944\) | −4.39249 | − | 13.5187i | −0.142963 | − | 0.439996i | ||||
\(945\) | −23.9710 | − | 24.1272i | −0.779776 | − | 0.784858i | ||||
\(946\) | −54.4316 | + | 27.9848i | −1.76972 | + | 0.909865i | ||||
\(947\) | 22.0312 | − | 38.1592i | 0.715919 | − | 1.24001i | −0.246686 | − | 0.969096i | \(-0.579341\pi\) |
0.962604 | − | 0.270912i | \(-0.0873252\pi\) | |||||||
\(948\) | 17.0069 | + | 8.68864i | 0.552358 | + | 0.282194i | ||||
\(949\) | 1.40132 | − | 13.3327i | 0.0454888 | − | 0.432797i | ||||
\(950\) | −4.99522 | − | 2.22402i | −0.162066 | − | 0.0721566i | ||||
\(951\) | −45.7061 | − | 2.44498i | −1.48212 | − | 0.0792838i | ||||
\(952\) | 20.7710 | + | 23.0685i | 0.673192 | + | 0.747656i | ||||
\(953\) | −16.0558 | + | 11.6652i | −0.520098 | + | 0.377873i | −0.816641 | − | 0.577146i | \(-0.804166\pi\) |
0.296543 | + | 0.955020i | \(0.404166\pi\) | |||||||
\(954\) | 1.49654 | + | 3.38097i | 0.0484523 | + | 0.109463i | ||||
\(955\) | −7.91255 | − | 24.3523i | −0.256044 | − | 0.788023i | ||||
\(956\) | 52.4331 | − | 90.8167i | 1.69581 | − | 2.93722i | ||||
\(957\) | −5.39111 | + | 52.5902i | −0.174270 | + | 1.70000i | ||||
\(958\) | 13.3218 | + | 23.0740i | 0.430407 | + | 0.745487i | ||||
\(959\) | 2.51273 | − | 2.79067i | 0.0811402 | − | 0.0901153i | ||||
\(960\) | 14.3134 | + | 17.7148i | 0.461964 | + | 0.571743i | ||||
\(961\) | −2.05209 | − | 19.5243i | −0.0661964 | − | 0.629817i | ||||
\(962\) | −0.839553 | + | 2.58388i | −0.0270683 | + | 0.0833076i | ||||
\(963\) | −33.1195 | − | 10.8405i | −1.06726 | − | 0.349331i | ||||
\(964\) | 43.0654 | − | 31.2888i | 1.38704 | − | 1.00775i | ||||
\(965\) | −10.5715 | + | 4.70675i | −0.340310 | + | 0.151516i | ||||
\(966\) | −19.5581 | + | 12.6711i | −0.629271 | + | 0.407685i | ||||
\(967\) | −21.7498 | − | 37.6718i | −0.699427 | − | 1.21144i | −0.968665 | − | 0.248370i | \(-0.920105\pi\) |
0.269238 | − | 0.963074i | \(-0.413228\pi\) | |||||||
\(968\) | 17.0395 | + | 77.3844i | 0.547670 | + | 2.48723i | ||||
\(969\) | 4.41257 | − | 4.40302i | 0.141752 | − | 0.141445i | ||||
\(970\) | 36.1748 | + | 7.68919i | 1.16150 | + | 0.246885i | ||||
\(971\) | 3.61387 | + | 2.62563i | 0.115975 | + | 0.0842604i | 0.644261 | − | 0.764806i | \(-0.277165\pi\) |
−0.528286 | + | 0.849066i | \(0.677165\pi\) | |||||||
\(972\) | −69.5435 | + | 26.2642i | −2.23061 | + | 0.842424i | ||||
\(973\) | 2.69264 | − | 8.28708i | 0.0863219 | − | 0.265672i | ||||
\(974\) | 42.7240 | + | 47.4498i | 1.36897 | + | 1.52039i | ||||
\(975\) | −0.300005 | + | 1.88097i | −0.00960783 | + | 0.0602393i | ||||
\(976\) | −9.03349 | + | 85.9479i | −0.289155 | + | 2.75113i | ||||
\(977\) | 30.8111 | − | 34.2192i | 0.985734 | − | 1.09477i | −0.00976045 | − | 0.999952i | \(-0.503107\pi\) |
0.995495 | − | 0.0948165i | \(-0.0302264\pi\) | |||||||
\(978\) | −22.0002 | − | 82.4630i | −0.703489 | − | 2.63687i | ||||
\(979\) | −45.3760 | − | 17.2286i | −1.45022 | − | 0.550628i | ||||
\(980\) | 31.0576 | 0.992098 | ||||||||
\(981\) | −24.4625 | + | 7.88982i | −0.781027 | + | 0.251903i | ||||
\(982\) | 87.0077 | + | 63.2148i | 2.77653 | + | 2.01726i | ||||
\(983\) | 5.81327 | + | 55.3095i | 0.185414 | + | 1.76410i | 0.552122 | + | 0.833764i | \(0.313818\pi\) |
−0.366707 | + | 0.930336i | \(0.619515\pi\) | |||||||
\(984\) | −41.1261 | + | 63.1788i | −1.31105 | + | 2.01407i | ||||
\(985\) | 2.91453 | − | 0.619502i | 0.0928645 | − | 0.0197390i | ||||
\(986\) | −29.5507 | − | 13.1568i | −0.941086 | − | 0.418999i | ||||
\(987\) | −19.8956 | − | 24.6235i | −0.633285 | − | 0.783775i | ||||
\(988\) | −17.3196 | − | 3.68140i | −0.551011 | − | 0.117121i | ||||
\(989\) | 11.5002 | 0.365684 | ||||||||
\(990\) | 53.0523 | + | 2.70152i | 1.68611 | + | 0.0858598i | ||||
\(991\) | −54.8380 | −1.74199 | −0.870993 | − | 0.491295i | \(-0.836524\pi\) | ||||
−0.870993 | + | 0.491295i | \(0.836524\pi\) | |||||||
\(992\) | 66.3856 | + | 14.1107i | 2.10775 | + | 0.448015i | ||||
\(993\) | −16.2608 | + | 42.2241i | −0.516020 | + | 1.33994i | ||||
\(994\) | −11.9060 | − | 5.30089i | −0.377635 | − | 0.168134i | ||||
\(995\) | −52.6284 | + | 11.1865i | −1.66843 | + | 0.354636i | ||||
\(996\) | 28.5306 | + | 56.1446i | 0.904026 | + | 1.77901i | ||||
\(997\) | −5.05824 | − | 48.1260i | −0.160196 | − | 1.52417i | −0.719085 | − | 0.694922i | \(-0.755439\pi\) |
0.558889 | − | 0.829243i | \(-0.311228\pi\) | |||||||
\(998\) | −83.2050 | − | 60.4520i | −2.63381 | − | 1.91357i | ||||
\(999\) | −1.77860 | + | 3.46286i | −0.0562726 | + | 0.109560i |
(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 | 99.2.m.b.16.9 | ✓ | 72 | |
3.2 | odd | 2 | 297.2.n.b.181.1 | 72 | |||
9.2 | odd | 6 | 891.2.f.e.82.9 | 36 | |||
9.4 | even | 3 | inner | 99.2.m.b.49.1 | yes | 72 | |
9.5 | odd | 6 | 297.2.n.b.280.9 | 72 | |||
9.7 | even | 3 | 891.2.f.f.82.1 | 36 | |||
11.3 | even | 5 | 1089.2.e.p.727.18 | 36 | |||
11.8 | odd | 10 | 1089.2.e.o.727.1 | 36 | |||
11.9 | even | 5 | inner | 99.2.m.b.97.1 | yes | 72 | |
33.20 | odd | 10 | 297.2.n.b.262.9 | 72 | |||
99.20 | odd | 30 | 891.2.f.e.163.9 | 36 | |||
99.25 | even | 15 | 9801.2.a.cm.1.1 | 18 | |||
99.31 | even | 15 | inner | 99.2.m.b.31.9 | yes | 72 | |
99.47 | odd | 30 | 9801.2.a.cp.1.18 | 18 | |||
99.52 | odd | 30 | 9801.2.a.co.1.18 | 18 | |||
99.58 | even | 15 | 1089.2.e.p.364.18 | 36 | |||
99.74 | even | 30 | 9801.2.a.cn.1.1 | 18 | |||
99.85 | odd | 30 | 1089.2.e.o.364.1 | 36 | |||
99.86 | odd | 30 | 297.2.n.b.64.1 | 72 | |||
99.97 | even | 15 | 891.2.f.f.163.1 | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
99.2.m.b.16.9 | ✓ | 72 | 1.1 | even | 1 | trivial | |
99.2.m.b.31.9 | yes | 72 | 99.31 | even | 15 | inner | |
99.2.m.b.49.1 | yes | 72 | 9.4 | even | 3 | inner | |
99.2.m.b.97.1 | yes | 72 | 11.9 | even | 5 | inner | |
297.2.n.b.64.1 | 72 | 99.86 | odd | 30 | |||
297.2.n.b.181.1 | 72 | 3.2 | odd | 2 | |||
297.2.n.b.262.9 | 72 | 33.20 | odd | 10 | |||
297.2.n.b.280.9 | 72 | 9.5 | odd | 6 | |||
891.2.f.e.82.9 | 36 | 9.2 | odd | 6 | |||
891.2.f.e.163.9 | 36 | 99.20 | odd | 30 | |||
891.2.f.f.82.1 | 36 | 9.7 | even | 3 | |||
891.2.f.f.163.1 | 36 | 99.97 | even | 15 | |||
1089.2.e.o.364.1 | 36 | 99.85 | odd | 30 | |||
1089.2.e.o.727.1 | 36 | 11.8 | odd | 10 | |||
1089.2.e.p.364.18 | 36 | 99.58 | even | 15 | |||
1089.2.e.p.727.18 | 36 | 11.3 | even | 5 | |||
9801.2.a.cm.1.1 | 18 | 99.25 | even | 15 | |||
9801.2.a.cn.1.1 | 18 | 99.74 | even | 30 | |||
9801.2.a.co.1.18 | 18 | 99.52 | odd | 30 | |||
9801.2.a.cp.1.18 | 18 | 99.47 | odd | 30 |