Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [270,2,Mod(23,270)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(270, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([22, 27]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("270.23");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 270 = 2 \cdot 3^{3} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 270.r (of order \(36\), degree \(12\), 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: | \(2.15596085457\) |
Analytic rank: | \(0\) |
Dimension: | \(216\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 263.7 | ||
Character | \(\chi\) | \(=\) | 270.263 |
Dual form | 270.2.r.a.77.7 |
$q$-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 \(\left(\mathbb{Z}/270\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(217\) |
\(\chi(n)\) | \(e\left(\frac{7}{18}\right)\) | \(e\left(\frac{3}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.906308 | − | 0.422618i | −0.640856 | − | 0.298836i | ||||
\(3\) | 1.33891 | − | 1.09878i | 0.773022 | − | 0.634379i | ||||
\(4\) | 0.642788 | + | 0.766044i | 0.321394 | + | 0.383022i | ||||
\(5\) | −2.00011 | − | 0.999773i | −0.894478 | − | 0.447112i | ||||
\(6\) | −1.67783 | + | 0.429980i | −0.684972 | + | 0.175539i | ||||
\(7\) | −3.41173 | + | 0.298488i | −1.28951 | + | 0.112818i | −0.711196 | − | 0.702994i | \(-0.751846\pi\) |
−0.578318 | + | 0.815812i | \(0.696291\pi\) | |||||||
\(8\) | −0.258819 | − | 0.965926i | −0.0915064 | − | 0.341506i | ||||
\(9\) | 0.585380 | − | 2.94233i | 0.195127 | − | 0.980778i | ||||
\(10\) | 1.39020 | + | 1.75139i | 0.439618 | + | 0.553837i | ||||
\(11\) | −4.70038 | − | 0.828804i | −1.41722 | − | 0.249894i | −0.588019 | − | 0.808847i | \(-0.700092\pi\) |
−0.829199 | + | 0.558954i | \(0.811203\pi\) | |||||||
\(12\) | 1.70235 | + | 0.319387i | 0.491426 | + | 0.0921992i | ||||
\(13\) | −0.816512 | − | 1.75102i | −0.226460 | − | 0.485645i | 0.759943 | − | 0.649990i | \(-0.225227\pi\) |
−0.986403 | + | 0.164345i | \(0.947449\pi\) | |||||||
\(14\) | 3.21823 | + | 1.17134i | 0.860107 | + | 0.313053i | ||||
\(15\) | −3.77651 | + | 0.859067i | −0.975090 | + | 0.221810i | ||||
\(16\) | −0.173648 | + | 0.984808i | −0.0434120 | + | 0.246202i | ||||
\(17\) | 1.39278 | − | 5.19794i | 0.337800 | − | 1.26069i | −0.563002 | − | 0.826455i | \(-0.690354\pi\) |
0.900802 | − | 0.434230i | \(-0.142980\pi\) | |||||||
\(18\) | −1.77402 | + | 2.41927i | −0.418140 | + | 0.570227i | ||||
\(19\) | 5.37612 | + | 3.10390i | 1.23337 | + | 0.712084i | 0.967730 | − | 0.251989i | \(-0.0810848\pi\) |
0.265636 | + | 0.964073i | \(0.414418\pi\) | |||||||
\(20\) | −0.519777 | − | 2.17482i | −0.116226 | − | 0.486304i | ||||
\(21\) | −4.24004 | + | 4.14838i | −0.925253 | + | 0.905251i | ||||
\(22\) | 3.90972 | + | 2.73762i | 0.833556 | + | 0.583662i | ||||
\(23\) | 0.0973994 | − | 1.11328i | 0.0203092 | − | 0.232135i | −0.979255 | − | 0.202630i | \(-0.935051\pi\) |
0.999565 | − | 0.0295054i | \(-0.00939321\pi\) | |||||||
\(24\) | −1.40787 | − | 1.00891i | −0.287381 | − | 0.205942i | ||||
\(25\) | 3.00091 | + | 3.99932i | 0.600181 | + | 0.799864i | ||||
\(26\) | 1.93203i | 0.378903i | ||||||||
\(27\) | −2.44919 | − | 4.58273i | −0.471348 | − | 0.881947i | ||||
\(28\) | −2.42167 | − | 2.42167i | −0.457653 | − | 0.457653i | ||||
\(29\) | −0.0131911 | + | 0.00480116i | −0.00244952 | + | 0.000891553i | −0.343245 | − | 0.939246i | \(-0.611526\pi\) |
0.340795 | + | 0.940138i | \(0.389304\pi\) | |||||||
\(30\) | 3.78574 | + | 0.817441i | 0.691177 | + | 0.149244i | ||||
\(31\) | 1.74674 | − | 1.46569i | 0.313724 | − | 0.263246i | −0.472305 | − | 0.881435i | \(-0.656578\pi\) |
0.786029 | + | 0.618189i | \(0.212133\pi\) | |||||||
\(32\) | 0.573576 | − | 0.819152i | 0.101395 | − | 0.144807i | ||||
\(33\) | −7.20407 | + | 4.05497i | −1.25407 | + | 0.705880i | ||||
\(34\) | −3.45904 | + | 4.12232i | −0.593220 | + | 0.706972i | ||||
\(35\) | 7.12227 | + | 2.81395i | 1.20388 | + | 0.475644i | ||||
\(36\) | 2.63023 | − | 1.44287i | 0.438372 | − | 0.240478i | ||||
\(37\) | −9.61180 | − | 2.57547i | −1.58017 | − | 0.423405i | −0.641192 | − | 0.767381i | \(-0.721560\pi\) |
−0.938979 | + | 0.343975i | \(0.888226\pi\) | |||||||
\(38\) | −3.56065 | − | 5.08514i | −0.577614 | − | 0.824918i | ||||
\(39\) | −3.01722 | − | 1.44730i | −0.483141 | − | 0.231753i | ||||
\(40\) | −0.448040 | + | 2.19072i | −0.0708413 | + | 0.346383i | ||||
\(41\) | −0.132710 | + | 0.364617i | −0.0207258 | + | 0.0569436i | −0.949624 | − | 0.313391i | \(-0.898535\pi\) |
0.928898 | + | 0.370335i | \(0.120757\pi\) | |||||||
\(42\) | 5.59597 | − | 1.96779i | 0.863476 | − | 0.303637i | ||||
\(43\) | 3.98494 | − | 2.79028i | 0.607697 | − | 0.425514i | −0.228809 | − | 0.973471i | \(-0.573483\pi\) |
0.836506 | + | 0.547957i | \(0.184594\pi\) | |||||||
\(44\) | −2.38644 | − | 4.13344i | −0.359770 | − | 0.623140i | ||||
\(45\) | −4.11249 | + | 5.29975i | −0.613054 | + | 0.790041i | ||||
\(46\) | −0.558767 | + | 0.967812i | −0.0823856 | + | 0.142696i | ||||
\(47\) | −0.0692108 | − | 0.791084i | −0.0100954 | − | 0.115391i | 0.989475 | − | 0.144705i | \(-0.0462234\pi\) |
−0.999570 | + | 0.0293137i | \(0.990668\pi\) | |||||||
\(48\) | 0.849584 | + | 1.50937i | 0.122627 | + | 0.217859i | ||||
\(49\) | 4.65717 | − | 0.821184i | 0.665310 | − | 0.117312i | ||||
\(50\) | −1.02956 | − | 4.89285i | −0.145602 | − | 0.691954i | ||||
\(51\) | −3.84656 | − | 8.48995i | −0.538626 | − | 1.18883i | ||||
\(52\) | 0.816512 | − | 1.75102i | 0.113230 | − | 0.242822i | ||||
\(53\) | 5.53811 | − | 5.53811i | 0.760717 | − | 0.760717i | −0.215735 | − | 0.976452i | \(-0.569215\pi\) |
0.976452 | + | 0.215735i | \(0.0692146\pi\) | |||||||
\(54\) | 0.282978 | + | 5.18844i | 0.0385084 | + | 0.706057i | ||||
\(55\) | 8.57267 | + | 6.35701i | 1.15594 | + | 0.857180i | ||||
\(56\) | 1.17134 | + | 3.21823i | 0.156527 | + | 0.430054i | ||||
\(57\) | 10.6087 | − | 1.75129i | 1.40515 | − | 0.231965i | ||||
\(58\) | 0.0139842 | + | 0.00122346i | 0.00183622 | + | 0.000160648i | ||||
\(59\) | 2.02310 | + | 11.4736i | 0.263385 | + | 1.49373i | 0.773595 | + | 0.633681i | \(0.218457\pi\) |
−0.510210 | + | 0.860050i | \(0.670432\pi\) | |||||||
\(60\) | −3.08558 | − | 2.34077i | −0.398346 | − | 0.302193i | ||||
\(61\) | 1.20616 | + | 1.01209i | 0.154433 | + | 0.129584i | 0.716730 | − | 0.697351i | \(-0.245638\pi\) |
−0.562298 | + | 0.826935i | \(0.690082\pi\) | |||||||
\(62\) | −2.20251 | + | 0.590162i | −0.279720 | + | 0.0749506i | ||||
\(63\) | −1.11891 | + | 10.2132i | −0.140969 | + | 1.28674i | ||||
\(64\) | −0.866025 | + | 0.500000i | −0.108253 | + | 0.0625000i | ||||
\(65\) | −0.117503 | + | 4.31856i | −0.0145744 | + | 0.535651i | ||||
\(66\) | 8.24281 | − | 0.630478i | 1.01462 | − | 0.0776065i | ||||
\(67\) | 10.2083 | − | 4.76023i | 1.24715 | − | 0.581555i | 0.316891 | − | 0.948462i | \(-0.397361\pi\) |
0.930257 | + | 0.366907i | \(0.119583\pi\) | |||||||
\(68\) | 4.87712 | − | 2.27424i | 0.591437 | − | 0.275792i | ||||
\(69\) | −1.09284 | − | 1.59761i | −0.131562 | − | 0.192329i | ||||
\(70\) | −5.26574 | − | 5.56031i | −0.629377 | − | 0.664584i | ||||
\(71\) | −2.10165 | + | 1.21339i | −0.249420 | + | 0.144003i | −0.619499 | − | 0.784998i | \(-0.712664\pi\) |
0.370078 | + | 0.929001i | \(0.379331\pi\) | |||||||
\(72\) | −2.99358 | + | 0.196099i | −0.352797 | + | 0.0231104i | ||||
\(73\) | 8.26239 | − | 2.21390i | 0.967039 | − | 0.259117i | 0.259462 | − | 0.965753i | \(-0.416455\pi\) |
0.707577 | + | 0.706636i | \(0.249788\pi\) | |||||||
\(74\) | 7.62281 | + | 6.39630i | 0.886133 | + | 0.743554i | ||||
\(75\) | 8.41231 | + | 2.05742i | 0.971370 | + | 0.237570i | ||||
\(76\) | 1.07797 | + | 6.11349i | 0.123652 | + | 0.701266i | ||||
\(77\) | 16.2838 | + | 1.42465i | 1.85571 | + | 0.162354i | ||||
\(78\) | 2.12287 | + | 2.58683i | 0.240368 | + | 0.292900i | ||||
\(79\) | −3.80042 | − | 10.4416i | −0.427580 | − | 1.17477i | −0.947277 | − | 0.320417i | \(-0.896177\pi\) |
0.519696 | − | 0.854351i | \(-0.326045\pi\) | |||||||
\(80\) | 1.33190 | − | 1.79612i | 0.148911 | − | 0.200812i | ||||
\(81\) | −8.31466 | − | 3.44477i | −0.923851 | − | 0.382752i | ||||
\(82\) | 0.274370 | − | 0.274370i | 0.0302990 | − | 0.0302990i | ||||
\(83\) | −5.81691 | + | 12.4744i | −0.638489 | + | 1.36924i | 0.274630 | + | 0.961550i | \(0.411445\pi\) |
−0.913119 | + | 0.407693i | \(0.866333\pi\) | |||||||
\(84\) | −5.90329 | − | 0.581534i | −0.644102 | − | 0.0634505i | ||||
\(85\) | −7.98249 | + | 9.00400i | −0.865822 | + | 0.976621i | ||||
\(86\) | −4.79081 | + | 0.844748i | −0.516606 | + | 0.0910915i | ||||
\(87\) | −0.0123863 | + | 0.0209224i | −0.00132795 | + | 0.00224311i | ||||
\(88\) | 0.415985 | + | 4.75473i | 0.0443441 | + | 0.506856i | ||||
\(89\) | 7.52167 | − | 13.0279i | 0.797296 | − | 1.38096i | −0.124075 | − | 0.992273i | \(-0.539596\pi\) |
0.921371 | − | 0.388684i | \(-0.127070\pi\) | |||||||
\(90\) | 5.96696 | − | 3.06519i | 0.628973 | − | 0.323100i | ||||
\(91\) | 3.30838 | + | 5.73028i | 0.346812 | + | 0.600697i | ||||
\(92\) | 0.915429 | − | 0.640991i | 0.0954401 | − | 0.0668279i | ||||
\(93\) | 0.728270 | − | 3.88171i | 0.0755181 | − | 0.402515i | ||||
\(94\) | −0.271600 | + | 0.746215i | −0.0280134 | + | 0.0769662i | ||||
\(95\) | −7.64964 | − | 11.5831i | −0.784837 | − | 1.18840i | ||||
\(96\) | −0.132096 | − | 1.72701i | −0.0134820 | − | 0.176262i | ||||
\(97\) | −10.2282 | − | 14.6074i | −1.03852 | − | 1.48315i | −0.867215 | − | 0.497935i | \(-0.834092\pi\) |
−0.171301 | − | 0.985219i | \(-0.554797\pi\) | |||||||
\(98\) | −4.56787 | − | 1.22396i | −0.461425 | − | 0.123638i | ||||
\(99\) | −5.19012 | + | 13.3449i | −0.521627 | + | 1.34121i | ||||
\(100\) | −1.13471 | + | 4.86954i | −0.113471 | + | 0.486954i | ||||
\(101\) | −1.36748 | + | 1.62970i | −0.136069 | + | 0.162161i | −0.829776 | − | 0.558097i | \(-0.811532\pi\) |
0.693707 | + | 0.720257i | \(0.255976\pi\) | |||||||
\(102\) | −0.101843 | + | 9.32013i | −0.0100840 | + | 0.922831i | ||||
\(103\) | 1.45888 | − | 2.08350i | 0.143748 | − | 0.205293i | −0.740821 | − | 0.671702i | \(-0.765564\pi\) |
0.884569 | + | 0.466409i | \(0.154452\pi\) | |||||||
\(104\) | −1.48002 | + | 1.24189i | −0.145128 | + | 0.121777i | ||||
\(105\) | 12.6280 | − | 4.05815i | 1.23237 | − | 0.396035i | ||||
\(106\) | −7.35973 | + | 2.67872i | −0.714840 | + | 0.260181i | ||||
\(107\) | 4.24792 | + | 4.24792i | 0.410662 | + | 0.410662i | 0.881969 | − | 0.471307i | \(-0.156218\pi\) |
−0.471307 | + | 0.881969i | \(0.656218\pi\) | |||||||
\(108\) | 1.93627 | − | 4.82192i | 0.186317 | − | 0.463989i | ||||
\(109\) | 2.45742i | 0.235378i | 0.993051 | + | 0.117689i | \(0.0375486\pi\) | ||||
−0.993051 | + | 0.117689i | \(0.962451\pi\) | |||||||
\(110\) | −5.08289 | − | 9.38438i | −0.484635 | − | 0.894766i | ||||
\(111\) | −15.6992 | + | 7.11288i | −1.49011 | + | 0.675125i | ||||
\(112\) | 0.298488 | − | 3.41173i | 0.0282045 | − | 0.322378i | ||||
\(113\) | −11.9224 | − | 8.34818i | −1.12157 | − | 0.785331i | −0.142689 | − | 0.989768i | \(-0.545575\pi\) |
−0.978880 | + | 0.204437i | \(0.934464\pi\) | |||||||
\(114\) | −10.3548 | − | 2.89620i | −0.969819 | − | 0.271254i | ||||
\(115\) | −1.30784 | + | 2.12931i | −0.121957 | + | 0.198559i | ||||
\(116\) | −0.0121570 | − | 0.00701882i | −0.00112875 | − | 0.000651681i | ||||
\(117\) | −5.63005 | + | 1.37744i | −0.520498 | + | 0.127345i | ||||
\(118\) | 3.01539 | − | 11.2536i | 0.277589 | − | 1.03598i | ||||
\(119\) | −3.20028 | + | 18.1497i | −0.293369 | + | 1.66378i | ||||
\(120\) | 1.80723 | + | 3.42548i | 0.164977 | + | 0.312702i | ||||
\(121\) | 11.0700 | + | 4.02916i | 1.00637 | + | 0.366287i | ||||
\(122\) | −0.665423 | − | 1.42701i | −0.0602446 | − | 0.129195i | ||||
\(123\) | 0.222946 | + | 0.634009i | 0.0201023 | + | 0.0571666i | ||||
\(124\) | 2.24557 | + | 0.395954i | 0.201658 | + | 0.0355577i | ||||
\(125\) | −2.00374 | − | 10.9993i | −0.179220 | − | 0.983809i | ||||
\(126\) | 5.33035 | − | 8.78342i | 0.474866 | − | 0.782489i | ||||
\(127\) | 4.89147 | + | 18.2552i | 0.434048 | + | 1.61989i | 0.743335 | + | 0.668919i | \(0.233243\pi\) |
−0.309288 | + | 0.950969i | \(0.600091\pi\) | |||||||
\(128\) | 0.996195 | − | 0.0871557i | 0.0880520 | − | 0.00770355i | ||||
\(129\) | 2.26959 | − | 8.11451i | 0.199826 | − | 0.714442i | ||||
\(130\) | 1.93160 | − | 3.86428i | 0.169412 | − | 0.338920i | ||||
\(131\) | 1.19590 | + | 1.42522i | 0.104486 | + | 0.124522i | 0.815753 | − | 0.578400i | \(-0.196323\pi\) |
−0.711267 | + | 0.702922i | \(0.751878\pi\) | |||||||
\(132\) | −7.73697 | − | 2.91215i | −0.673417 | − | 0.253471i | ||||
\(133\) | −19.2683 | − | 8.98498i | −1.67078 | − | 0.779096i | ||||
\(134\) | −11.2637 | −0.973032 | ||||||||
\(135\) | 0.316972 | + | 11.6146i | 0.0272806 | + | 0.999628i | ||||
\(136\) | −5.38130 | −0.461443 | ||||||||
\(137\) | −7.40450 | − | 3.45278i | −0.632609 | − | 0.294991i | 0.0797400 | − | 0.996816i | \(-0.474591\pi\) |
−0.712349 | + | 0.701825i | \(0.752369\pi\) | |||||||
\(138\) | 0.315269 | + | 1.90978i | 0.0268375 | + | 0.162571i | ||||
\(139\) | −10.7748 | − | 12.8409i | −0.913904 | − | 1.08915i | −0.995713 | − | 0.0925002i | \(-0.970514\pi\) |
0.0818088 | − | 0.996648i | \(-0.473930\pi\) | |||||||
\(140\) | 2.42250 | + | 7.26475i | 0.204738 | + | 0.613983i | ||||
\(141\) | −0.961892 | − | 0.983145i | −0.0810059 | − | 0.0827958i | ||||
\(142\) | 2.41755 | − | 0.211508i | 0.202876 | − | 0.0177494i | ||||
\(143\) | 2.38667 | + | 8.90717i | 0.199583 | + | 0.744855i | ||||
\(144\) | 2.79598 | + | 1.08742i | 0.232999 | + | 0.0906181i | ||||
\(145\) | 0.0311837 | + | 0.00358523i | 0.00258967 | + | 0.000297737i | ||||
\(146\) | −8.42390 | − | 1.48536i | −0.697167 | − | 0.122929i | ||||
\(147\) | 5.33325 | − | 6.21668i | 0.439879 | − | 0.512743i | ||||
\(148\) | −4.20542 | − | 9.01855i | −0.345683 | − | 0.741320i | ||||
\(149\) | 15.3073 | + | 5.57142i | 1.25403 | + | 0.456428i | 0.881760 | − | 0.471698i | \(-0.156359\pi\) |
0.372266 | + | 0.928126i | \(0.378581\pi\) | |||||||
\(150\) | −6.75464 | − | 5.41985i | −0.551514 | − | 0.442529i | ||||
\(151\) | 2.09008 | − | 11.8534i | 0.170088 | − | 0.964618i | −0.773574 | − | 0.633706i | \(-0.781533\pi\) |
0.943662 | − | 0.330911i | \(-0.107356\pi\) | |||||||
\(152\) | 1.60670 | − | 5.99628i | 0.130320 | − | 0.486362i | ||||
\(153\) | −14.4788 | − | 7.14081i | −1.17054 | − | 0.577300i | ||||
\(154\) | −14.1561 | − | 8.17301i | −1.14073 | − | 0.658600i | ||||
\(155\) | −4.95904 | + | 1.18520i | −0.398320 | + | 0.0951976i | ||||
\(156\) | −0.830736 | − | 3.24162i | −0.0665121 | − | 0.259538i | ||||
\(157\) | −9.03750 | − | 6.32813i | −0.721271 | − | 0.505039i | 0.154363 | − | 0.988014i | \(-0.450667\pi\) |
−0.875634 | + | 0.482975i | \(0.839556\pi\) | |||||||
\(158\) | −0.968447 | + | 11.0694i | −0.0770455 | + | 0.880634i | ||||
\(159\) | 1.32990 | − | 13.5002i | 0.105468 | − | 1.07063i | ||||
\(160\) | −1.96618 | + | 1.06495i | −0.155441 | + | 0.0841917i | ||||
\(161\) | 3.82729i | 0.301633i | ||||||||
\(162\) | 6.07982 | + | 6.63595i | 0.477676 | + | 0.521369i | ||||
\(163\) | −7.80113 | − | 7.80113i | −0.611032 | − | 0.611032i | 0.332183 | − | 0.943215i | \(-0.392215\pi\) |
−0.943215 | + | 0.332183i | \(0.892215\pi\) | |||||||
\(164\) | −0.364617 | + | 0.132710i | −0.0284718 | + | 0.0103629i | ||||
\(165\) | 18.4630 | − | 0.907959i | 1.43734 | − | 0.0706845i | ||||
\(166\) | 10.5438 | − | 8.84731i | 0.818359 | − | 0.686685i | ||||
\(167\) | −11.3321 | + | 16.1839i | −0.876903 | + | 1.25235i | 0.0896736 | + | 0.995971i | \(0.471418\pi\) |
−0.966577 | + | 0.256377i | \(0.917471\pi\) | |||||||
\(168\) | 5.10443 | + | 3.02189i | 0.393816 | + | 0.233144i | ||||
\(169\) | 5.95687 | − | 7.09912i | 0.458221 | − | 0.546087i | ||||
\(170\) | 11.0398 | − | 4.78685i | 0.846718 | − | 0.367135i | ||||
\(171\) | 12.2798 | − | 14.0014i | 0.939059 | − | 1.07071i | ||||
\(172\) | 4.69895 | + | 1.25908i | 0.358292 | + | 0.0960039i | ||||
\(173\) | 13.8009 | + | 19.7098i | 1.04927 | + | 1.49851i | 0.855736 | + | 0.517412i | \(0.173105\pi\) |
0.193529 | + | 0.981095i | \(0.438007\pi\) | |||||||
\(174\) | 0.0200680 | − | 0.0137274i | 0.00152135 | − | 0.00104067i | ||||
\(175\) | −11.4320 | − | 12.7489i | −0.864181 | − | 0.963724i | ||||
\(176\) | 1.63242 | − | 4.48505i | 0.123049 | − | 0.338073i | ||||
\(177\) | 15.3156 | + | 13.1392i | 1.15119 | + | 0.987601i | ||||
\(178\) | −12.3228 | + | 8.62851i | −0.923632 | + | 0.646734i | ||||
\(179\) | 3.91228 | + | 6.77627i | 0.292418 | + | 0.506482i | 0.974381 | − | 0.224904i | \(-0.0722070\pi\) |
−0.681963 | + | 0.731386i | \(0.738874\pi\) | |||||||
\(180\) | −6.70331 | + | 0.256263i | −0.499635 | + | 0.0191007i | ||||
\(181\) | −0.435002 | + | 0.753445i | −0.0323334 | + | 0.0560032i | −0.881739 | − | 0.471737i | \(-0.843627\pi\) |
0.849406 | + | 0.527740i | \(0.176961\pi\) | |||||||
\(182\) | −0.576688 | − | 6.59158i | −0.0427470 | − | 0.488600i | ||||
\(183\) | 2.72700 | + | 0.0297986i | 0.201585 | + | 0.00220277i | ||||
\(184\) | −1.10056 | + | 0.194058i | −0.0811340 | + | 0.0143061i | ||||
\(185\) | 16.6498 | + | 14.7609i | 1.22412 | + | 1.08524i | ||||
\(186\) | −2.30052 | + | 3.21025i | −0.168682 | + | 0.235387i | ||||
\(187\) | −10.8547 | + | 23.2779i | −0.793773 | + | 1.70225i | ||||
\(188\) | 0.561517 | − | 0.561517i | 0.0409529 | − | 0.0409529i | ||||
\(189\) | 9.72389 | + | 14.9040i | 0.707309 | + | 1.08411i | ||||
\(190\) | 2.03772 | + | 13.7307i | 0.147832 | + | 0.996129i | ||||
\(191\) | −3.36360 | − | 9.24141i | −0.243381 | − | 0.668685i | −0.999892 | − | 0.0147032i | \(-0.995320\pi\) |
0.756511 | − | 0.653981i | \(-0.226903\pi\) | |||||||
\(192\) | −0.610145 | + | 1.62103i | −0.0440334 | + | 0.116987i | ||||
\(193\) | 8.13419 | + | 0.711650i | 0.585512 | + | 0.0512257i | 0.376063 | − | 0.926594i | \(-0.377278\pi\) |
0.209449 | + | 0.977820i | \(0.432833\pi\) | |||||||
\(194\) | 3.09655 | + | 17.5614i | 0.222319 | + | 1.26083i | ||||
\(195\) | 4.58781 | + | 5.91129i | 0.328540 | + | 0.423316i | ||||
\(196\) | 3.62263 | + | 3.03975i | 0.258759 | + | 0.217125i | ||||
\(197\) | −21.1806 | + | 5.67532i | −1.50905 | + | 0.404350i | −0.916121 | − | 0.400902i | \(-0.868697\pi\) |
−0.592933 | + | 0.805252i | \(0.702030\pi\) | |||||||
\(198\) | 10.3437 | − | 9.90116i | 0.735092 | − | 0.703645i | ||||
\(199\) | −4.58949 | + | 2.64974i | −0.325340 | + | 0.187835i | −0.653770 | − | 0.756693i | \(-0.726814\pi\) |
0.328430 | + | 0.944528i | \(0.393480\pi\) | |||||||
\(200\) | 3.08636 | − | 3.93375i | 0.218238 | − | 0.278158i | ||||
\(201\) | 8.43767 | − | 17.5902i | 0.595147 | − | 1.24072i | ||||
\(202\) | 1.92809 | − | 0.899085i | 0.135660 | − | 0.0632594i | ||||
\(203\) | 0.0435713 | − | 0.0203176i | 0.00305811 | − | 0.00142602i | ||||
\(204\) | 4.03116 | − | 8.40387i | 0.282238 | − | 0.588389i | ||||
\(205\) | 0.629969 | − | 0.596595i | 0.0439989 | − | 0.0416680i | ||||
\(206\) | −2.20272 | + | 1.27174i | −0.153471 | + | 0.0886064i | ||||
\(207\) | −3.21863 | − | 0.938274i | −0.223710 | − | 0.0652145i | ||||
\(208\) | 1.86620 | − | 0.500047i | 0.129398 | − | 0.0346720i | ||||
\(209\) | −22.6973 | − | 19.0453i | −1.57000 | − | 1.31739i | ||||
\(210\) | −13.1599 | − | 1.65889i | −0.908120 | − | 0.114475i | ||||
\(211\) | 2.85111 | + | 16.1695i | 0.196279 | + | 1.11315i | 0.910586 | + | 0.413319i | \(0.135631\pi\) |
−0.714308 | + | 0.699832i | \(0.753258\pi\) | |||||||
\(212\) | 7.80226 | + | 0.682609i | 0.535861 | + | 0.0468818i | ||||
\(213\) | −1.48069 | + | 3.93387i | −0.101455 | + | 0.269545i | ||||
\(214\) | −2.05467 | − | 5.64517i | −0.140455 | − | 0.385896i | ||||
\(215\) | −10.7600 | + | 1.59685i | −0.733824 | + | 0.108904i | ||||
\(216\) | −3.79268 | + | 3.55184i | −0.258059 | + | 0.241672i | ||||
\(217\) | −5.52193 | + | 5.52193i | −0.374853 | + | 0.374853i | ||||
\(218\) | 1.03855 | − | 2.22718i | 0.0703395 | − | 0.150843i | ||||
\(219\) | 8.63004 | − | 12.0427i | 0.583164 | − | 0.813773i | ||||
\(220\) | 0.640653 | + | 10.6533i | 0.0431928 | + | 0.718243i | ||||
\(221\) | −10.2389 | + | 1.80540i | −0.688743 | + | 0.121444i | ||||
\(222\) | 17.2344 | + | 0.188324i | 1.15670 | + | 0.0126395i | ||||
\(223\) | 0.866913 | + | 9.90886i | 0.0580528 | + | 0.663547i | 0.968351 | + | 0.249593i | \(0.0802968\pi\) |
−0.910298 | + | 0.413954i | \(0.864148\pi\) | |||||||
\(224\) | −1.71238 | + | 2.96593i | −0.114413 | + | 0.198170i | ||||
\(225\) | 13.5240 | − | 6.48855i | 0.901600 | − | 0.432570i | ||||
\(226\) | 7.27730 | + | 12.6047i | 0.484079 | + | 0.838450i | ||||
\(227\) | 9.94373 | − | 6.96268i | 0.659989 | − | 0.462129i | −0.194981 | − | 0.980807i | \(-0.562465\pi\) |
0.854970 | + | 0.518678i | \(0.173576\pi\) | |||||||
\(228\) | 8.16068 | + | 7.00099i | 0.540454 | + | 0.463652i | ||||
\(229\) | 3.56444 | − | 9.79323i | 0.235545 | − | 0.647155i | −0.764452 | − | 0.644681i | \(-0.776990\pi\) |
0.999997 | − | 0.00247388i | \(-0.000787462\pi\) | |||||||
\(230\) | 2.08519 | − | 1.37709i | 0.137493 | − | 0.0908029i | ||||
\(231\) | 23.3680 | − | 15.9848i | 1.53750 | − | 1.05172i | ||||
\(232\) | 0.00805166 | + | 0.0114990i | 0.000528618 | + | 0.000754944i | ||||
\(233\) | 9.67519 | + | 2.59246i | 0.633843 | + | 0.169838i | 0.561413 | − | 0.827536i | \(-0.310258\pi\) |
0.0724298 | + | 0.997374i | \(0.476925\pi\) | |||||||
\(234\) | 5.68469 | + | 1.13097i | 0.371620 | + | 0.0739340i | ||||
\(235\) | −0.652475 | + | 1.65145i | −0.0425628 | + | 0.107729i | ||||
\(236\) | −7.48884 | + | 8.92485i | −0.487482 | + | 0.580958i | ||||
\(237\) | −16.5614 | − | 9.80454i | −1.07578 | − | 0.636873i | ||||
\(238\) | 10.5708 | − | 15.0967i | 0.685206 | − | 0.978575i | ||||
\(239\) | 0.520564 | − | 0.436805i | 0.0336725 | − | 0.0282546i | −0.625796 | − | 0.779987i | \(-0.715226\pi\) |
0.659469 | + | 0.751732i | \(0.270781\pi\) | |||||||
\(240\) | −0.190233 | − | 3.86831i | −0.0122795 | − | 0.249698i | ||||
\(241\) | 18.3051 | − | 6.66251i | 1.17913 | − | 0.429170i | 0.323238 | − | 0.946318i | \(-0.395229\pi\) |
0.855896 | + | 0.517148i | \(0.173006\pi\) | |||||||
\(242\) | −8.33005 | − | 8.33005i | −0.535476 | − | 0.535476i | ||||
\(243\) | −14.9176 | + | 4.52371i | −0.956967 | + | 0.290196i | ||||
\(244\) | 1.57453i | 0.100799i | ||||||||
\(245\) | −10.1359 | − | 3.01365i | −0.647556 | − | 0.192535i | ||||
\(246\) | 0.0658863 | − | 0.668828i | 0.00420076 | − | 0.0426429i | ||||
\(247\) | 1.04532 | − | 11.9480i | 0.0665120 | − | 0.760236i | ||||
\(248\) | −1.86784 | − | 1.30787i | −0.118608 | − | 0.0830501i | ||||
\(249\) | 5.91824 | + | 23.0936i | 0.375053 | + | 1.46350i | ||||
\(250\) | −2.83251 | + | 10.8156i | −0.179144 | + | 0.684038i | ||||
\(251\) | −3.84250 | − | 2.21847i | −0.242537 | − | 0.140029i | 0.373805 | − | 0.927507i | \(-0.378053\pi\) |
−0.616342 | + | 0.787479i | \(0.711386\pi\) | |||||||
\(252\) | −8.54297 | + | 5.70778i | −0.538157 | + | 0.359556i | ||||
\(253\) | −1.38051 | + | 5.15211i | −0.0867916 | + | 0.323911i | ||||
\(254\) | 3.28181 | − | 18.6121i | 0.205919 | − | 1.16782i | ||||
\(255\) | −0.794477 | + | 20.8266i | −0.0497521 | + | 1.30421i | ||||
\(256\) | −0.939693 | − | 0.342020i | −0.0587308 | − | 0.0213763i | ||||
\(257\) | −5.48091 | − | 11.7539i | −0.341890 | − | 0.733185i | 0.657912 | − | 0.753095i | \(-0.271440\pi\) |
−0.999802 | + | 0.0199097i | \(0.993662\pi\) | |||||||
\(258\) | −5.48629 | + | 6.39507i | −0.341561 | + | 0.398140i | ||||
\(259\) | 33.5616 | + | 5.91782i | 2.08542 | + | 0.367716i | ||||
\(260\) | −3.38374 | + | 2.68590i | −0.209850 | + | 0.166573i | ||||
\(261\) | 0.00640482 | + | 0.0416230i | 0.000396449 | + | 0.00257640i | ||||
\(262\) | −0.481530 | − | 1.79709i | −0.0297490 | − | 0.111025i | ||||
\(263\) | 25.0764 | − | 2.19390i | 1.54628 | − | 0.135282i | 0.718175 | − | 0.695862i | \(-0.244978\pi\) |
0.828100 | + | 0.560580i | \(0.189422\pi\) | |||||||
\(264\) | 5.78135 | + | 5.90910i | 0.355818 | + | 0.363680i | ||||
\(265\) | −16.6137 | + | 5.53999i | −1.02057 | + | 0.340319i | ||||
\(266\) | 13.6658 | + | 16.2863i | 0.837906 | + | 0.998578i | ||||
\(267\) | −4.24390 | − | 25.7079i | −0.259723 | − | 1.57330i | ||||
\(268\) | 10.2083 | + | 4.76023i | 0.623574 | + | 0.290777i | ||||
\(269\) | −0.955430 | −0.0582536 | −0.0291268 | − | 0.999576i | \(-0.509273\pi\) | ||||
−0.0291268 | + | 0.999576i | \(0.509273\pi\) | |||||||
\(270\) | 4.62128 | − | 10.6604i | 0.281242 | − | 0.648770i | ||||
\(271\) | −7.26969 | −0.441602 | −0.220801 | − | 0.975319i | \(-0.570867\pi\) | ||||
−0.220801 | + | 0.975319i | \(0.570867\pi\) | |||||||
\(272\) | 4.87712 | + | 2.27424i | 0.295719 | + | 0.137896i | ||||
\(273\) | 10.7259 | + | 4.03718i | 0.649163 | + | 0.244341i | ||||
\(274\) | 5.25155 | + | 6.25856i | 0.317258 | + | 0.378093i | ||||
\(275\) | −10.7907 | − | 21.2855i | −0.650706 | − | 1.28356i | ||||
\(276\) | 0.521376 | − | 1.86408i | 0.0313831 | − | 0.112205i | ||||
\(277\) | 5.18616 | − | 0.453730i | 0.311606 | − | 0.0272620i | 0.0697199 | − | 0.997567i | \(-0.477789\pi\) |
0.241886 | + | 0.970305i | \(0.422234\pi\) | |||||||
\(278\) | 4.33847 | + | 16.1914i | 0.260204 | + | 0.971095i | ||||
\(279\) | −3.29004 | − | 5.99749i | −0.196970 | − | 0.359060i | ||||
\(280\) | 0.874687 | − | 7.60789i | 0.0522726 | − | 0.454658i | ||||
\(281\) | 8.66284 | + | 1.52749i | 0.516782 | + | 0.0911226i | 0.425955 | − | 0.904744i | \(-0.359938\pi\) |
0.0908264 | + | 0.995867i | \(0.471049\pi\) | |||||||
\(282\) | 0.456275 | + | 1.29755i | 0.0271708 | + | 0.0772677i | ||||
\(283\) | 4.92646 | + | 10.5648i | 0.292848 | + | 0.628014i | 0.996596 | − | 0.0824351i | \(-0.0262697\pi\) |
−0.703749 | + | 0.710449i | \(0.748492\pi\) | |||||||
\(284\) | −2.28043 | − | 0.830008i | −0.135319 | − | 0.0492519i | ||||
\(285\) | −22.9694 | − | 7.10346i | −1.36059 | − | 0.420773i | ||||
\(286\) | 1.60128 | − | 9.08129i | 0.0946854 | − | 0.536988i | ||||
\(287\) | 0.343936 | − | 1.28359i | 0.0203019 | − | 0.0757678i | ||||
\(288\) | −2.07446 | − | 2.16717i | −0.122239 | − | 0.127702i | ||||
\(289\) | −10.3563 | − | 5.97921i | −0.609194 | − | 0.351718i | ||||
\(290\) | −0.0267469 | − | 0.0164281i | −0.00157063 | − | 0.000964693i | ||||
\(291\) | −29.7449 | − | 8.31951i | −1.74368 | − | 0.487698i | ||||
\(292\) | 7.00691 | + | 4.90629i | 0.410048 | + | 0.287119i | ||||
\(293\) | 1.06878 | − | 12.2162i | 0.0624388 | − | 0.713679i | −0.898872 | − | 0.438212i | \(-0.855612\pi\) |
0.961311 | − | 0.275467i | \(-0.0888324\pi\) | |||||||
\(294\) | −7.46085 | + | 3.38030i | −0.435125 | + | 0.197143i | ||||
\(295\) | 7.42454 | − | 24.9711i | 0.432273 | − | 1.45387i | ||||
\(296\) | 9.95087i | 0.578383i | ||||||||
\(297\) | 7.71396 | + | 23.5705i | 0.447609 | + | 1.36770i | ||||
\(298\) | −11.5186 | − | 11.5186i | −0.667254 | − | 0.667254i | ||||
\(299\) | −2.02890 | + | 0.738459i | −0.117334 | + | 0.0427062i | ||||
\(300\) | 3.83126 | + | 7.76669i | 0.221198 | + | 0.448410i | ||||
\(301\) | −12.7627 | + | 10.7092i | −0.735628 | + | 0.617266i | ||||
\(302\) | −6.90372 | + | 9.85954i | −0.397265 | + | 0.567353i | ||||
\(303\) | −0.0402623 | + | 3.68457i | −0.00231301 | + | 0.211673i | ||||
\(304\) | −3.99030 | + | 4.75545i | −0.228859 | + | 0.272744i | ||||
\(305\) | −1.40059 | − | 3.23017i | −0.0801978 | − | 0.184959i | ||||
\(306\) | 10.1044 | + | 12.5908i | 0.577629 | + | 0.719766i | ||||
\(307\) | −25.1777 | − | 6.74634i | −1.43697 | − | 0.385034i | −0.545495 | − | 0.838114i | \(-0.683658\pi\) |
−0.891470 | + | 0.453080i | \(0.850325\pi\) | |||||||
\(308\) | 9.37569 | + | 13.3899i | 0.534230 | + | 0.762959i | ||||
\(309\) | −0.335983 | − | 4.39261i | −0.0191134 | − | 0.249887i | ||||
\(310\) | 4.99530 | + | 1.02162i | 0.283714 | + | 0.0580244i | ||||
\(311\) | 7.56811 | − | 20.7932i | 0.429148 | − | 1.17908i | −0.517182 | − | 0.855875i | \(-0.673019\pi\) |
0.946331 | − | 0.323200i | \(-0.104759\pi\) | |||||||
\(312\) | −0.617067 | + | 3.28899i | −0.0349345 | + | 0.186203i | ||||
\(313\) | −17.9286 | + | 12.5537i | −1.01338 | + | 0.709578i | −0.957374 | − | 0.288853i | \(-0.906726\pi\) |
−0.0560084 | + | 0.998430i | \(0.517837\pi\) | |||||||
\(314\) | 5.51638 | + | 9.55464i | 0.311307 | + | 0.539200i | ||||
\(315\) | 12.4488 | − | 19.3089i | 0.701411 | − | 1.08793i | ||||
\(316\) | 5.55584 | − | 9.62300i | 0.312540 | − | 0.541336i | ||||
\(317\) | 0.865153 | + | 9.88874i | 0.0485918 | + | 0.555407i | 0.981001 | + | 0.194003i | \(0.0621471\pi\) |
−0.932409 | + | 0.361404i | \(0.882297\pi\) | |||||||
\(318\) | −6.91073 | + | 11.6733i | −0.387534 | + | 0.654605i | ||||
\(319\) | 0.0659823 | − | 0.0116345i | 0.00369430 | − | 0.000651404i | ||||
\(320\) | 2.23204 | − | 0.134227i | 0.124775 | − | 0.00750354i | ||||
\(321\) | 10.3551 | + | 1.02008i | 0.577966 | + | 0.0569355i | ||||
\(322\) | 1.61748 | − | 3.46870i | 0.0901387 | − | 0.193303i | ||||
\(323\) | 23.6217 | − | 23.6217i | 1.31434 | − | 1.31434i | ||||
\(324\) | −2.70572 | − | 8.58365i | −0.150318 | − | 0.476870i | ||||
\(325\) | 4.55260 | − | 8.52013i | 0.252533 | − | 0.472612i | ||||
\(326\) | 3.77333 | + | 10.3671i | 0.208985 | + | 0.574182i | ||||
\(327\) | 2.70015 | + | 3.29027i | 0.149319 | + | 0.181952i | ||||
\(328\) | 0.386541 | + | 0.0338179i | 0.0213431 | + | 0.00186728i | ||||
\(329\) | 0.472258 | + | 2.67831i | 0.0260364 | + | 0.147660i | ||||
\(330\) | −17.1169 | − | 6.97991i | −0.942254 | − | 0.384232i | ||||
\(331\) | 22.7451 | + | 19.0854i | 1.25018 | + | 1.04903i | 0.996657 | + | 0.0817003i | \(0.0260350\pi\) |
0.253527 | + | 0.967328i | \(0.418409\pi\) | |||||||
\(332\) | −13.2950 | + | 3.56238i | −0.729657 | + | 0.195511i | ||||
\(333\) | −13.2045 | + | 26.7735i | −0.723600 | + | 1.46718i | ||||
\(334\) | 17.1100 | − | 9.87845i | 0.936216 | − | 0.540525i | ||||
\(335\) | −25.1770 | − | 0.685035i | −1.37557 | − | 0.0374274i | ||||
\(336\) | −3.34908 | − | 4.89599i | −0.182707 | − | 0.267098i | ||||
\(337\) | −14.7628 | + | 6.88399i | −0.804179 | + | 0.374995i | −0.780839 | − | 0.624733i | \(-0.785208\pi\) |
−0.0233403 | + | 0.999728i | \(0.507430\pi\) | |||||||
\(338\) | −8.39898 | + | 3.91651i | −0.456844 | + | 0.213030i | ||||
\(339\) | −25.1359 | + | 1.92260i | −1.36519 | + | 0.104421i | ||||
\(340\) | −12.0285 | − | 0.327281i | −0.652337 | − | 0.0177493i | ||||
\(341\) | −9.42512 | + | 5.44160i | −0.510399 | + | 0.294679i | ||||
\(342\) | −17.0465 | + | 7.49989i | −0.921769 | + | 0.405547i | ||||
\(343\) | 7.51259 | − | 2.01299i | 0.405642 | − | 0.108691i | ||||
\(344\) | −3.72658 | − | 3.12698i | −0.200924 | − | 0.168595i | ||||
\(345\) | 0.588553 | + | 4.28798i | 0.0316866 | + | 0.230857i | ||||
\(346\) | −4.17818 | − | 23.6957i | −0.224620 | − | 1.27389i | ||||
\(347\) | −0.00836757 | 0.000732067i | −0.000449195 | 3.92994e-5i | 0.0869311 | − | 0.996214i | \(-0.472294\pi\) | ||
−0.0873803 | + | 0.996175i | \(0.527850\pi\) | |||||||
\(348\) | −0.0239892 | + | 0.00396018i | −0.00128596 | + | 0.000212288i | ||||
\(349\) | 4.18645 | + | 11.5022i | 0.224096 | + | 0.615697i | 0.999883 | − | 0.0152969i | \(-0.00486935\pi\) |
−0.775787 | + | 0.630994i | \(0.782647\pi\) | |||||||
\(350\) | 4.97304 | + | 16.3858i | 0.265820 | + | 0.875857i | ||||
\(351\) | −6.02464 | + | 8.03044i | −0.321572 | + | 0.428633i | ||||
\(352\) | −3.37494 | + | 3.37494i | −0.179885 | + | 0.179885i | ||||
\(353\) | 8.17015 | − | 17.5209i | 0.434853 | − | 0.932545i | −0.559737 | − | 0.828670i | \(-0.689098\pi\) |
0.994590 | − | 0.103875i | \(-0.0331243\pi\) | |||||||
\(354\) | −8.32782 | − | 18.3808i | −0.442619 | − | 0.976929i | ||||
\(355\) | 5.41666 | − | 0.325741i | 0.287487 | − | 0.0172885i | ||||
\(356\) | 14.8148 | − | 2.61225i | 0.785183 | − | 0.138449i | ||||
\(357\) | 15.6576 | + | 27.8173i | 0.828687 | + | 1.47225i | ||||
\(358\) | −0.681955 | − | 7.79479i | −0.0360425 | − | 0.411967i | ||||
\(359\) | 4.88715 | − | 8.46479i | 0.257934 | − | 0.446754i | −0.707754 | − | 0.706459i | \(-0.750292\pi\) |
0.965688 | + | 0.259704i | \(0.0836250\pi\) | |||||||
\(360\) | 6.18356 | + | 2.60069i | 0.325902 | + | 0.137068i | ||||
\(361\) | 9.76842 | + | 16.9194i | 0.514127 | + | 0.890495i | ||||
\(362\) | 0.712665 | − | 0.499014i | 0.0374569 | − | 0.0262276i | ||||
\(363\) | 19.2490 | − | 6.76879i | 1.01031 | − | 0.355269i | ||||
\(364\) | −2.26306 | + | 6.21772i | −0.118617 | + | 0.325897i | ||||
\(365\) | −18.7391 | − | 3.83247i | −0.980850 | − | 0.200600i | ||||
\(366\) | −2.45890 | − | 1.17949i | −0.128529 | − | 0.0616527i | ||||
\(367\) | 12.8485 | + | 18.3496i | 0.670688 | + | 0.957842i | 0.999908 | + | 0.0135884i | \(0.00432544\pi\) |
−0.329220 | + | 0.944253i | \(0.606786\pi\) | |||||||
\(368\) | 1.07945 | + | 0.289239i | 0.0562704 | + | 0.0150776i | ||||
\(369\) | 0.995139 | + | 0.603916i | 0.0518049 | + | 0.0314386i | ||||
\(370\) | −8.85163 | − | 20.4144i | −0.460174 | − | 1.06129i | ||||
\(371\) | −17.2415 | + | 20.5476i | −0.895133 | + | 1.06678i | ||||
\(372\) | 3.44169 | − | 1.93723i | 0.178443 | − | 0.100441i | ||||
\(373\) | 2.19410 | − | 3.13349i | 0.113606 | − | 0.162246i | −0.758322 | − | 0.651880i | \(-0.773981\pi\) |
0.871928 | + | 0.489634i | \(0.162870\pi\) | |||||||
\(374\) | 19.6754 | − | 16.5096i | 1.01739 | − | 0.853691i | ||||
\(375\) | −14.7686 | − | 12.5255i | −0.762649 | − | 0.646813i | ||||
\(376\) | −0.746215 | + | 0.271600i | −0.0384831 | + | 0.0140067i | ||||
\(377\) | 0.0191776 | + | 0.0191776i | 0.000987696 | + | 0.000987696i | ||||
\(378\) | −2.51413 | − | 17.6171i | −0.129313 | − | 0.906126i | ||||
\(379\) | 14.9557i | 0.768225i | 0.923286 | + | 0.384112i | \(0.125493\pi\) | ||||
−0.923286 | + | 0.384112i | \(0.874507\pi\) | |||||||
\(380\) | 3.95604 | − | 13.3054i | 0.202941 | − | 0.682553i | ||||
\(381\) | 26.6076 | + | 19.0675i | 1.36315 | + | 0.976858i | ||||
\(382\) | −0.857133 | + | 9.79707i | −0.0438547 | + | 0.501262i | ||||
\(383\) | 0.914955 | + | 0.640659i | 0.0467520 | + | 0.0327361i | 0.596719 | − | 0.802450i | \(-0.296471\pi\) |
−0.549967 | + | 0.835187i | \(0.685360\pi\) | |||||||
\(384\) | 1.23805 | − | 1.21129i | 0.0631792 | − | 0.0618134i | ||||
\(385\) | −31.1452 | − | 19.1296i | −1.58730 | − | 0.974934i | ||||
\(386\) | −7.07133 | − | 4.08263i | −0.359921 | − | 0.207800i | ||||
\(387\) | −5.87724 | − | 13.3584i | −0.298757 | − | 0.679045i | ||||
\(388\) | 4.61534 | − | 17.2247i | 0.234308 | − | 0.874451i | ||||
\(389\) | 5.28039 | − | 29.9466i | 0.267726 | − | 1.51835i | −0.493432 | − | 0.869784i | \(-0.664258\pi\) |
0.761158 | − | 0.648566i | \(-0.224631\pi\) | |||||||
\(390\) | −1.65975 | − | 7.29634i | −0.0840445 | − | 0.369464i | ||||
\(391\) | −5.65111 | − | 2.05684i | −0.285789 | − | 0.104019i | ||||
\(392\) | −1.99857 | − | 4.28594i | −0.100943 | − | 0.216473i | ||||
\(393\) | 3.16720 | + | 0.594216i | 0.159764 | + | 0.0299742i | ||||
\(394\) | 21.5946 | + | 3.80772i | 1.08792 | + | 0.191830i | ||||
\(395\) | −2.83793 | + | 24.6839i | −0.142792 | + | 1.24198i | ||||
\(396\) | −13.5589 | + | 4.60208i | −0.681363 | + | 0.231263i | ||||
\(397\) | 2.92694 | + | 10.9235i | 0.146899 | + | 0.548234i | 0.999664 | + | 0.0259385i | \(0.00825740\pi\) |
−0.852765 | + | 0.522295i | \(0.825076\pi\) | |||||||
\(398\) | 5.27932 | − | 0.461881i | 0.264628 | − | 0.0231520i | ||||
\(399\) | −35.6711 | + | 9.14150i | −1.78579 | + | 0.457647i | ||||
\(400\) | −4.45966 | + | 2.26084i | −0.222983 | + | 0.113042i | ||||
\(401\) | 8.78262 | + | 10.4667i | 0.438583 | + | 0.522683i | 0.939378 | − | 0.342883i | \(-0.111403\pi\) |
−0.500795 | + | 0.865566i | \(0.666959\pi\) | |||||||
\(402\) | −15.0811 | + | 12.3763i | −0.752176 | + | 0.617271i | ||||
\(403\) | −3.99269 | − | 1.86182i | −0.198890 | − | 0.0927438i | ||||
\(404\) | −2.12742 | −0.105843 | ||||||||
\(405\) | 13.1863 | + | 15.2027i | 0.655231 | + | 0.755428i | ||||
\(406\) | −0.0480756 | −0.00238595 | ||||||||
\(407\) | 43.0445 | + | 20.0720i | 2.13364 | + | 0.994932i | ||||
\(408\) | −7.20510 | + | 5.91285i | −0.356706 | + | 0.292730i | ||||
\(409\) | −13.3918 | − | 15.9597i | −0.662183 | − | 0.789159i | 0.325515 | − | 0.945537i | \(-0.394462\pi\) |
−0.987697 | + | 0.156378i | \(0.950018\pi\) | |||||||
\(410\) | −0.823078 | + | 0.274463i | −0.0406489 | + | 0.0135548i | ||||
\(411\) | −13.7078 | + | 3.51292i | −0.676157 | + | 0.173280i | ||||
\(412\) | 2.53380 | − | 0.221679i | 0.124831 | − | 0.0109213i | ||||
\(413\) | −10.3270 | − | 38.5408i | −0.508158 | − | 1.89647i | ||||
\(414\) | 2.52054 | + | 2.21062i | 0.123878 | + | 0.108646i | ||||
\(415\) | 24.1060 | − | 19.1346i | 1.18332 | − | 0.939282i | ||||
\(416\) | −1.90268 | − | 0.335494i | −0.0932866 | − | 0.0164489i | ||||
\(417\) | −28.5357 | − | 5.35375i | −1.39740 | − | 0.262174i | ||||
\(418\) | 12.5218 | + | 26.8531i | 0.612463 | + | 1.31343i | ||||
\(419\) | −6.74264 | − | 2.45412i | −0.329399 | − | 0.119892i | 0.172026 | − | 0.985092i | \(-0.444969\pi\) |
−0.501426 | + | 0.865201i | \(0.667191\pi\) | |||||||
\(420\) | 11.2258 | + | 7.06509i | 0.547765 | + | 0.344741i | ||||
\(421\) | 3.74087 | − | 21.2156i | 0.182319 | − | 1.03398i | −0.747033 | − | 0.664787i | \(-0.768522\pi\) |
0.929352 | − | 0.369195i | \(-0.120367\pi\) | |||||||
\(422\) | 4.24952 | − | 15.8594i | 0.206863 | − | 0.772025i | ||||
\(423\) | −2.36815 | − | 0.259443i | −0.115143 | − | 0.0126146i | ||||
\(424\) | −6.78277 | − | 3.91603i | −0.329400 | − | 0.190179i | ||||
\(425\) | 24.9678 | − | 10.0283i | 1.21112 | − | 0.486446i | ||||
\(426\) | 3.00449 | − | 2.93953i | 0.145568 | − | 0.142421i | ||||
\(427\) | −4.41718 | − | 3.09294i | −0.213762 | − | 0.149678i | ||||
\(428\) | −0.523585 | + | 5.98460i | −0.0253084 | + | 0.289277i | ||||
\(429\) | 12.9825 | + | 9.30351i | 0.626803 | + | 0.449178i | ||||
\(430\) | 10.4267 | + | 3.10013i | 0.502821 | + | 0.149501i | ||||
\(431\) | − | 21.6869i | − | 1.04462i | −0.852756 | − | 0.522310i | \(-0.825070\pi\) | ||
0.852756 | − | 0.522310i | \(-0.174930\pi\) | |||||||
\(432\) | 4.93841 | − | 1.61620i | 0.237599 | − | 0.0777596i | ||||
\(433\) | 9.64432 | + | 9.64432i | 0.463476 | + | 0.463476i | 0.899793 | − | 0.436317i | \(-0.143717\pi\) |
−0.436317 | + | 0.899793i | \(0.643717\pi\) | |||||||
\(434\) | 7.33823 | − | 2.67090i | 0.352246 | − | 0.128207i | ||||
\(435\) | 0.0456917 | − | 0.0294636i | 0.00219075 | − | 0.00141267i | ||||
\(436\) | −1.88249 | + | 1.57960i | −0.0901550 | + | 0.0756490i | ||||
\(437\) | 3.97914 | − | 5.68281i | 0.190348 | − | 0.271846i | ||||
\(438\) | −12.9110 | + | 7.26722i | −0.616909 | + | 0.347241i | ||||
\(439\) | 18.8665 | − | 22.4842i | 0.900449 | − | 1.07311i | −0.0965218 | − | 0.995331i | \(-0.530772\pi\) |
0.996970 | − | 0.0777820i | \(-0.0247838\pi\) | |||||||
\(440\) | 3.92163 | − | 9.92588i | 0.186957 | − | 0.473198i | ||||
\(441\) | 0.310014 | − | 14.1836i | 0.0147626 | − | 0.675412i | ||||
\(442\) | 10.0426 | + | 2.69090i | 0.477677 | + | 0.127993i | ||||
\(443\) | −10.1169 | − | 14.4484i | −0.480669 | − | 0.686466i | 0.503440 | − | 0.864030i | \(-0.332067\pi\) |
−0.984109 | + | 0.177564i | \(0.943178\pi\) | |||||||
\(444\) | −15.5401 | − | 7.45424i | −0.737499 | − | 0.353763i | ||||
\(445\) | −28.0692 | + | 18.5373i | −1.33061 | + | 0.878755i | ||||
\(446\) | 3.40198 | − | 9.34685i | 0.161088 | − | 0.442586i | ||||
\(447\) | 26.6170 | − | 9.35971i | 1.25894 | − | 0.442699i | ||||
\(448\) | 2.80540 | − | 1.96436i | 0.132543 | − | 0.0928075i | ||||
\(449\) | 3.52178 | + | 6.09990i | 0.166203 | + | 0.287872i | 0.937082 | − | 0.349110i | \(-0.113516\pi\) |
−0.770879 | + | 0.636982i | \(0.780183\pi\) | |||||||
\(450\) | −14.9991 | + | 0.165128i | −0.707064 | + | 0.00778421i | ||||
\(451\) | 0.925982 | − | 1.60385i | 0.0436028 | − | 0.0755222i | ||||
\(452\) | −1.26852 | − | 14.4992i | −0.0596661 | − | 0.681986i | ||||
\(453\) | −10.2258 | − | 18.1672i | −0.480451 | − | 0.853571i | ||||
\(454\) | −11.9546 | + | 2.10792i | −0.561059 | + | 0.0989298i | ||||
\(455\) | −0.888150 | − | 14.7688i | −0.0416371 | − | 0.692374i | ||||
\(456\) | −4.43734 | − | 9.79390i | −0.207798 | − | 0.458641i | ||||
\(457\) | −2.14412 | + | 4.59808i | −0.100298 | + | 0.215089i | −0.950053 | − | 0.312088i | \(-0.898972\pi\) |
0.849756 | + | 0.527177i | \(0.176749\pi\) | |||||||
\(458\) | −7.36928 | + | 7.36928i | −0.344344 | + | 0.344344i | ||||
\(459\) | −27.2320 | + | 6.34801i | −1.27108 | + | 0.296300i | ||||
\(460\) | −2.47181 | + | 0.366832i | −0.115249 | + | 0.0171036i | ||||
\(461\) | −0.701773 | − | 1.92811i | −0.0326848 | − | 0.0898009i | 0.922277 | − | 0.386530i | \(-0.126326\pi\) |
−0.954962 | + | 0.296729i | \(0.904104\pi\) | |||||||
\(462\) | −27.9341 | + | 4.61140i | −1.29961 | + | 0.214542i | ||||
\(463\) | 13.8800 | + | 1.21434i | 0.645058 | + | 0.0564353i | 0.404990 | − | 0.914321i | \(-0.367275\pi\) |
0.240068 | + | 0.970756i | \(0.422830\pi\) | |||||||
\(464\) | −0.00243761 | − | 0.0138244i | −0.000113163 | − | 0.000641781i | ||||
\(465\) | −5.33746 | + | 7.03576i | −0.247519 | + | 0.326276i | ||||
\(466\) | −7.67308 | − | 6.43848i | −0.355448 | − | 0.298257i | ||||
\(467\) | 1.32327 | − | 0.354570i | 0.0612338 | − | 0.0164076i | −0.228072 | − | 0.973644i | \(-0.573242\pi\) |
0.289306 | + | 0.957237i | \(0.406576\pi\) | |||||||
\(468\) | −4.67411 | − | 3.42746i | −0.216061 | − | 0.158434i | ||||
\(469\) | −33.4073 | + | 19.2877i | −1.54260 | + | 0.890623i | ||||
\(470\) | 1.28928 | − | 1.22098i | 0.0594699 | − | 0.0563194i | ||||
\(471\) | −19.0536 | + | 1.45738i | −0.877945 | + | 0.0671525i | ||||
\(472\) | 10.5590 | − | 4.92374i | 0.486017 | − | 0.226633i | ||||
\(473\) | −21.0433 | + | 9.81266i | −0.967573 | + | 0.451187i | ||||
\(474\) | 10.8661 | + | 15.8851i | 0.499098 | + | 0.729626i | ||||
\(475\) | 3.71972 | + | 30.8153i | 0.170673 | + | 1.41390i | ||||
\(476\) | −15.9606 | + | 9.21485i | −0.731552 | + | 0.422362i | ||||
\(477\) | −13.0531 | − | 19.5369i | −0.597659 | − | 0.894531i | ||||
\(478\) | −0.656393 | + | 0.175880i | −0.0300227 | + | 0.00804456i | ||||
\(479\) | 5.32223 | + | 4.46588i | 0.243179 | + | 0.204051i | 0.756228 | − | 0.654308i | \(-0.227040\pi\) |
−0.513050 | + | 0.858359i | \(0.671484\pi\) | |||||||
\(480\) | −1.46241 | + | 3.58627i | −0.0667495 | + | 0.163690i | ||||
\(481\) | 3.33846 | + | 18.9333i | 0.152221 | + | 0.863285i | ||||
\(482\) | −19.4057 | − | 1.69778i | −0.883907 | − | 0.0773319i | ||||
\(483\) | 4.20533 | + | 5.12441i | 0.191349 | + | 0.233169i | ||||
\(484\) | 4.02916 | + | 11.0700i | 0.183144 | + | 0.503183i | ||||
\(485\) | 5.85348 | + | 39.4423i | 0.265793 | + | 1.79098i | ||||
\(486\) | 15.4318 | + | 2.20459i | 0.700000 | + | 0.100002i | ||||
\(487\) | 14.1069 | − | 14.1069i | 0.639243 | − | 0.639243i | −0.311126 | − | 0.950369i | \(-0.600706\pi\) |
0.950369 | + | 0.311126i | \(0.100706\pi\) | |||||||
\(488\) | 0.665423 | − | 1.42701i | 0.0301223 | − | 0.0645975i | ||||
\(489\) | −19.0167 | − | 1.87334i | −0.859967 | − | 0.0847154i | ||||
\(490\) | 7.91258 | + | 7.01489i | 0.357454 | + | 0.316901i | ||||
\(491\) | −41.1519 | + | 7.25619i | −1.85716 | + | 0.327467i | −0.986415 | − | 0.164271i | \(-0.947473\pi\) |
−0.870743 | + | 0.491738i | \(0.836362\pi\) | |||||||
\(492\) | −0.342372 | + | 0.578319i | −0.0154353 | + | 0.0260726i | ||||
\(493\) | 0.00658382 | + | 0.0752534i | 0.000296520 | + | 0.00338924i | ||||
\(494\) | −5.99684 | + | 10.3868i | −0.269811 | + | 0.467326i | ||||
\(495\) | 23.7227 | − | 21.5024i | 1.06626 | − | 0.966461i | ||||
\(496\) | 1.14010 | + | 1.97472i | 0.0511922 | + | 0.0886675i | ||||
\(497\) | 6.80810 | − | 4.76708i | 0.305385 | − | 0.213833i | ||||
\(498\) | 4.39604 | − | 23.4311i | 0.196991 | − | 1.04997i | ||||
\(499\) | −1.84540 | + | 5.07021i | −0.0826116 | + | 0.226974i | −0.974120 | − | 0.226030i | \(-0.927425\pi\) |
0.891509 | + | 0.453004i | \(0.149648\pi\) | |||||||
\(500\) | 7.13799 | − | 8.60518i | 0.319221 | − | 0.384835i | ||||
\(501\) | 2.60980 | + | 34.1203i | 0.116597 | + | 1.52438i | ||||
\(502\) | 2.54492 | + | 3.63453i | 0.113585 | + | 0.162217i | ||||
\(503\) | 17.3675 | + | 4.65361i | 0.774379 | + | 0.207494i | 0.624305 | − | 0.781181i | \(-0.285382\pi\) |
0.150074 | + | 0.988675i | \(0.452049\pi\) | |||||||
\(504\) | 10.1548 | − | 1.56258i | 0.452330 | − | 0.0696030i | ||||
\(505\) | 4.36443 | − | 1.89241i | 0.194215 | − | 0.0842111i | ||||
\(506\) | 3.42854 | − | 4.08598i | 0.152417 | − | 0.181644i | ||||
\(507\) | 0.175387 | − | 16.0504i | 0.00778920 | − | 0.712823i | ||||
\(508\) | −10.8401 | + | 15.4813i | −0.480953 | + | 0.686872i | ||||
\(509\) | −7.61493 | + | 6.38969i | −0.337526 | + | 0.283218i | −0.795758 | − | 0.605615i | \(-0.792927\pi\) |
0.458232 | + | 0.888833i | \(0.348483\pi\) | |||||||
\(510\) | 9.52172 | − | 18.5395i | 0.421629 | − | 0.820943i | ||||
\(511\) | −27.5282 | + | 10.0195i | −1.21778 | + | 0.443235i | ||||
\(512\) | 0.707107 | + | 0.707107i | 0.0312500 | + | 0.0312500i | ||||
\(513\) | 1.05720 | − | 32.2394i | 0.0466765 | − | 1.42340i | ||||
\(514\) | 12.9689i | 0.572036i | ||||||||
\(515\) | −5.00095 | + | 2.70868i | −0.220368 | + | 0.119359i | ||||
\(516\) | 7.67494 | − | 3.47730i | 0.337870 | − | 0.153079i | ||||
\(517\) | −0.330336 | + | 3.77575i | −0.0145281 | + | 0.166058i | ||||
\(518\) | −27.9162 | − | 19.5471i | −1.22657 | − | 0.858852i | ||||
\(519\) | 40.1349 | + | 11.2255i | 1.76173 | + | 0.492747i | ||||
\(520\) | 4.20182 | − | 1.00423i | 0.184262 | − | 0.0440382i | ||||
\(521\) | 28.8597 | + | 16.6622i | 1.26437 | + | 0.729983i | 0.973917 | − | 0.226907i | \(-0.0728612\pi\) |
0.290451 | + | 0.956890i | \(0.406195\pi\) | |||||||
\(522\) | 0.0117859 | − | 0.0404301i | 0.000515856 | − | 0.00176958i | ||||
\(523\) | 0.128833 | − | 0.480813i | 0.00563349 | − | 0.0210245i | −0.963052 | − | 0.269316i | \(-0.913202\pi\) |
0.968685 | + | 0.248291i | \(0.0798691\pi\) | |||||||
\(524\) | −0.323070 | + | 1.83222i | −0.0141134 | + | 0.0800410i | ||||
\(525\) | −29.3147 | − | 4.50839i | −1.27940 | − | 0.196762i | ||||
\(526\) | −23.6541 | − | 8.60939i | −1.03137 | − | 0.375387i | ||||
\(527\) | −5.18574 | − | 11.1209i | −0.225894 | − | 0.484432i | ||||
\(528\) | −2.74239 | − | 7.79876i | −0.119347 | − | 0.339398i | ||||
\(529\) | 21.4207 | + | 3.77704i | 0.931334 | + | 0.164219i | ||||
\(530\) | 17.3984 | + | 2.00031i | 0.755739 | + | 0.0868881i | ||||
\(531\) | 34.9433 | + | 0.763761i | 1.51641 | + | 0.0331444i | ||||
\(532\) | −5.50256 | − | 20.5358i | −0.238566 | − | 0.890342i | ||||
\(533\) | 0.746809 | − | 0.0653373i | 0.0323479 | − | 0.00283007i | ||||
\(534\) | −7.01835 | + | 25.0928i | −0.303714 | + | 1.08587i | ||||
\(535\) | −4.24936 | − | 12.7433i | −0.183716 | − | 0.550940i | ||||
\(536\) | −7.24014 | − | 8.62847i | −0.312727 | − | 0.372693i | ||||
\(537\) | 12.6838 | + | 4.77412i | 0.547347 | + | 0.206018i | ||||
\(538\) | 0.865913 | + | 0.403782i | 0.0373322 | + | 0.0174083i | ||||
\(539\) | −22.5710 | −0.972204 | ||||||||
\(540\) | −8.69357 | + | 7.70855i | −0.374112 | + | 0.331723i | ||||
\(541\) | 39.4681 | 1.69687 | 0.848433 | − | 0.529303i | \(-0.177546\pi\) | ||||
0.848433 | + | 0.529303i | \(0.177546\pi\) | |||||||
\(542\) | 6.58857 | + | 3.07230i | 0.283004 | + | 0.131967i | ||||
\(543\) | 0.245438 | + | 1.48677i | 0.0105328 | + | 0.0638033i | ||||
\(544\) | −3.45904 | − | 4.12232i | −0.148305 | − | 0.176743i | ||||
\(545\) | 2.45686 | − | 4.91511i | 0.105240 | − | 0.210540i | ||||
\(546\) | −8.01481 | − | 8.19190i | −0.343002 | − | 0.350581i | ||||
\(547\) | 19.7841 | − | 1.73088i | 0.845906 | − | 0.0740072i | 0.344043 | − | 0.938954i | \(-0.388204\pi\) |
0.501863 | + | 0.864947i | \(0.332648\pi\) | |||||||
\(548\) | −2.11454 | − | 7.89158i | −0.0903288 | − | 0.337112i | ||||
\(549\) | 3.68395 | − | 2.95646i | 0.157227 | − | 0.126179i | ||||
\(550\) | 0.784102 | + | 23.8516i | 0.0334342 | + | 1.01703i | ||||
\(551\) | −0.0858191 | − | 0.0151322i | −0.00365602 | − | 0.000644654i | ||||
\(552\) | −1.26032 | + | 1.46909i | −0.0536429 | + | 0.0625287i | ||||
\(553\) | 16.0827 | + | 34.4894i | 0.683906 | + | 1.46664i | ||||
\(554\) | −4.89201 | − | 1.78055i | −0.207842 | − | 0.0756482i | ||||
\(555\) | 38.5115 | + | 1.46911i | 1.63472 | + | 0.0623604i | ||||
\(556\) | 2.91079 | − | 16.5079i | 0.123445 | − | 0.700091i | ||||
\(557\) | 1.00253 | − | 3.74149i | 0.0424786 | − | 0.158532i | −0.941429 | − | 0.337212i | \(-0.890516\pi\) |
0.983907 | + | 0.178680i | \(0.0571827\pi\) | |||||||
\(558\) | 0.447146 | + | 6.82600i | 0.0189292 | + | 0.288968i | ||||
\(559\) | −8.13958 | − | 4.69939i | −0.344268 | − | 0.198763i | ||||
\(560\) | −4.00797 | + | 6.52543i | −0.169368 | + | 0.275750i | ||||
\(561\) | 11.0438 | + | 43.0940i | 0.466269 | + | 1.81943i | ||||
\(562\) | −7.20565 | − | 5.04545i | −0.303952 | − | 0.212830i | ||||
\(563\) | −2.77303 | + | 31.6959i | −0.116869 | + | 1.33582i | 0.680685 | + | 0.732576i | \(0.261682\pi\) |
−0.797554 | + | 0.603247i | \(0.793873\pi\) | |||||||
\(564\) | 0.134841 | − | 1.36881i | 0.00567784 | − | 0.0576371i | ||||
\(565\) | 15.4999 | + | 28.6170i | 0.652087 | + | 1.20393i | ||||
\(566\) | − | 11.6570i | − | 0.489980i | ||||||
\(567\) | 29.3956 | + | 9.27080i | 1.23450 | + | 0.389337i | ||||
\(568\) | 1.71599 | + | 1.71599i | 0.0720015 | + | 0.0720015i | ||||
\(569\) | −0.625558 | + | 0.227685i | −0.0262248 | + | 0.00954503i | −0.355099 | − | 0.934829i | \(-0.615553\pi\) |
0.328874 | + | 0.944374i | \(0.393331\pi\) | |||||||
\(570\) | 17.8153 | + | 16.1452i | 0.746201 | + | 0.676249i | ||||
\(571\) | 15.8737 | − | 13.3196i | 0.664295 | − | 0.557410i | −0.247076 | − | 0.968996i | \(-0.579470\pi\) |
0.911371 | + | 0.411586i | \(0.135025\pi\) | |||||||
\(572\) | −5.28917 | + | 7.55371i | −0.221151 | + | 0.315837i | ||||
\(573\) | −14.6578 | − | 8.67760i | −0.612339 | − | 0.362512i | ||||
\(574\) | −0.854179 | + | 1.01797i | −0.0356528 | + | 0.0424893i | ||||
\(575\) | 4.74465 | − | 2.95132i | 0.197866 | − | 0.123078i | ||||
\(576\) | 0.964213 | + | 2.84083i | 0.0401756 | + | 0.118368i | ||||
\(577\) | 5.39239 | + | 1.44489i | 0.224488 | + | 0.0601514i | 0.369310 | − | 0.929306i | \(-0.379594\pi\) |
−0.144822 | + | 0.989458i | \(0.546261\pi\) | |||||||
\(578\) | 6.85907 | + | 9.79577i | 0.285300 | + | 0.407450i | ||||
\(579\) | 11.6729 | − | 7.98482i | 0.485110 | − | 0.331838i | ||||
\(580\) | 0.0172981 | + | 0.0261926i | 0.000718263 | + | 0.00108759i | ||||
\(581\) | 16.1223 | − | 44.2956i | 0.668865 | − | 1.83769i | ||||
\(582\) | 23.4421 | + | 20.1108i | 0.971704 | + | 0.833618i | ||||
\(583\) | −30.6212 | + | 21.4412i | −1.26820 | + | 0.888003i | ||||
\(584\) | −4.27693 | − | 7.40785i | −0.176980 | − | 0.306539i | ||||
\(585\) | 12.6379 | + | 2.87373i | 0.522511 | + | 0.118814i | ||||
\(586\) | −6.13144 | + | 10.6200i | −0.253287 | + | 0.438707i | ||||
\(587\) | 0.721578 | + | 8.24768i | 0.0297827 | + | 0.340418i | 0.996437 | + | 0.0843348i | \(0.0268765\pi\) |
−0.966655 | + | 0.256083i | \(0.917568\pi\) | |||||||
\(588\) | 8.19040 | + | 0.0894986i | 0.337766 | + | 0.00369086i | ||||
\(589\) | 13.9401 | − | 2.45801i | 0.574390 | − | 0.101280i | ||||
\(590\) | −17.2821 | + | 19.4937i | −0.711495 | + | 0.802544i | ||||
\(591\) | −22.1231 | + | 30.8715i | −0.910021 | + | 1.26988i | ||||
\(592\) | 4.20542 | − | 9.01855i | 0.172842 | − | 0.370660i | ||||
\(593\) | 11.2101 | − | 11.2101i | 0.460343 | − | 0.460343i | −0.438425 | − | 0.898768i | \(-0.644464\pi\) |
0.898768 | + | 0.438425i | \(0.144464\pi\) | |||||||
\(594\) | 2.97010 | − | 24.6222i | 0.121865 | − | 1.01026i | ||||
\(595\) | 24.5465 | − | 33.1019i | 1.00631 | − | 1.35705i | ||||
\(596\) | 5.57142 | + | 15.3073i | 0.228214 | + | 0.627013i | ||||
\(597\) | −3.23345 | + | 8.59060i | −0.132336 | + | 0.351590i | ||||
\(598\) | 2.15089 | + | 0.188179i | 0.0879566 | + | 0.00769521i | ||||
\(599\) | 1.64551 | + | 9.33216i | 0.0672338 | + | 0.381302i | 0.999794 | + | 0.0202877i | \(0.00645821\pi\) |
−0.932560 | + | 0.361014i | \(0.882431\pi\) | |||||||
\(600\) | −0.189952 | − | 8.65817i | −0.00775478 | − | 0.353468i | ||||
\(601\) | −20.5855 | − | 17.2733i | −0.839699 | − | 0.704591i | 0.117797 | − | 0.993038i | \(-0.462417\pi\) |
−0.957496 | + | 0.288447i | \(0.906861\pi\) | |||||||
\(602\) | 16.0928 | − | 4.31205i | 0.655893 | − | 0.175746i | ||||
\(603\) | −8.03043 | − | 32.8229i | −0.327024 | − | 1.33665i | ||||
\(604\) | 10.4237 | − | 6.01814i | 0.424135 | − | 0.244875i | ||||
\(605\) | −18.1131 | − | 19.1263i | −0.736401 | − | 0.777594i | ||||
\(606\) | 1.59366 | − | 3.32234i | 0.0647379 | − | 0.134961i | ||||
\(607\) | 4.57123 | − | 2.13160i | 0.185541 | − | 0.0865190i | −0.327628 | − | 0.944807i | \(-0.606249\pi\) |
0.513169 | + | 0.858288i | \(0.328472\pi\) | |||||||
\(608\) | 5.62618 | − | 2.62353i | 0.228172 | − | 0.106398i | ||||
\(609\) | 0.0360137 | − | 0.0750787i | 0.00145935 | − | 0.00304234i | ||||
\(610\) | −0.0957597 | + | 3.51944i | −0.00387720 | + | 0.142498i | ||||
\(611\) | −1.32869 | + | 0.767119i | −0.0537530 | + | 0.0310343i | ||||
\(612\) | −3.83660 | − | 15.6814i | −0.155085 | − | 0.633883i | ||||
\(613\) | 5.24282 | − | 1.40481i | 0.211756 | − | 0.0567397i | −0.151382 | − | 0.988475i | \(-0.548372\pi\) |
0.363137 | + | 0.931736i | \(0.381706\pi\) | |||||||
\(614\) | 19.9676 | + | 16.7548i | 0.805826 | + | 0.676169i | ||||
\(615\) | 0.187949 | − | 1.49098i | 0.00757882 | − | 0.0601223i | ||||
\(616\) | −2.83846 | − | 16.0977i | −0.114365 | − | 0.648594i | ||||
\(617\) | 27.0727 | + | 2.36856i | 1.08991 | + | 0.0953545i | 0.617913 | − | 0.786247i | \(-0.287979\pi\) |
0.471995 | + | 0.881601i | \(0.343534\pi\) | |||||||
\(618\) | −1.55189 | + | 4.12305i | −0.0624263 | + | 0.165853i | ||||
\(619\) | −3.84505 | − | 10.5642i | −0.154546 | − | 0.424611i | 0.838122 | − | 0.545482i | \(-0.183653\pi\) |
−0.992668 | + | 0.120871i | \(0.961431\pi\) | |||||||
\(620\) | −4.09553 | − | 3.03701i | −0.164480 | − | 0.121969i | ||||
\(621\) | −5.34042 | + | 2.28029i | −0.214304 | + | 0.0915047i | ||||
\(622\) | −15.6466 | + | 15.6466i | −0.627373 | + | 0.627373i | ||||
\(623\) | −21.7733 | + | 46.6929i | −0.872327 | + | 1.87071i | ||||
\(624\) | 1.94924 | − | 2.72006i | 0.0780321 | − | 0.108889i | ||||
\(625\) | −6.98913 | + | 24.0032i | −0.279565 | + | 0.960127i | ||||
\(626\) | 21.5542 | − | 3.80059i | 0.861480 | − | 0.151902i | ||||
\(627\) | −51.3162 | − | 0.560745i | −2.04937 | − | 0.0223940i | ||||
\(628\) | −0.961568 | − | 10.9908i | −0.0383707 | − | 0.438579i | ||||
\(629\) | −26.7743 | + | 46.3745i | −1.06756 | + | 1.84907i | ||||
\(630\) | −19.4427 | + | 12.2387i | −0.774617 | + | 0.487601i | ||||
\(631\) | −13.4777 | − | 23.3441i | −0.536539 | − | 0.929313i | −0.999087 | − | 0.0427187i | \(-0.986398\pi\) |
0.462548 | − | 0.886594i | \(-0.346935\pi\) | |||||||
\(632\) | −9.10216 | + | 6.37340i | −0.362064 | + | 0.253520i | ||||
\(633\) | 21.5840 | + | 18.5168i | 0.857887 | + | 0.735975i | ||||
\(634\) | 3.39507 | − | 9.32788i | 0.134835 | − | 0.370457i | ||||
\(635\) | 8.46758 | − | 41.4028i | 0.336026 | − | 1.64302i | ||||
\(636\) | 11.1966 | − | 7.65899i | 0.443974 | − | 0.303699i | ||||
\(637\) | −5.24054 | − | 7.48427i | −0.207638 | − | 0.296538i | ||||
\(638\) | −0.0647172 | − | 0.0173409i | −0.00256218 | − | 0.000686533i | ||||
\(639\) | 2.33993 | + | 6.89406i | 0.0925664 | + | 0.272725i | ||||
\(640\) | −2.07964 | − | 0.821648i | −0.0822049 | − | 0.0324785i | ||||
\(641\) | 27.2802 | − | 32.5112i | 1.07750 | − | 1.28412i | 0.120917 | − | 0.992663i | \(-0.461417\pi\) |
0.956585 | − | 0.291454i | \(-0.0941389\pi\) | |||||||
\(642\) | −8.95381 | − | 5.30077i | −0.353379 | − | 0.209205i | ||||
\(643\) | −1.60171 | + | 2.28747i | −0.0631651 | + | 0.0902091i | −0.849492 | − | 0.527602i | \(-0.823091\pi\) |
0.786327 | + | 0.617811i | \(0.211980\pi\) | |||||||
\(644\) | −2.93187 | + | 2.46013i | −0.115532 | + | 0.0969428i | ||||
\(645\) | −12.6521 | + | 13.9609i | −0.498176 | + | 0.549708i | ||||
\(646\) | −31.3914 | + | 11.4256i | −1.23508 | + | 0.449532i | ||||
\(647\) | −3.37176 | − | 3.37176i | −0.132558 | − | 0.132558i | 0.637715 | − | 0.770273i | \(-0.279880\pi\) |
−0.770273 | + | 0.637715i | \(0.779880\pi\) | |||||||
\(648\) | −1.17540 | + | 8.92292i | −0.0461739 | + | 0.350525i | ||||
\(649\) | − | 55.6068i | − | 2.18276i | ||||||
\(650\) | −7.72682 | + | 5.79785i | −0.303071 | + | 0.227410i | ||||
\(651\) | −1.32602 | + | 13.4607i | −0.0519708 | + | 0.527568i | ||||
\(652\) | 0.961543 | − | 10.9905i | 0.0376569 | − | 0.430421i | ||||
\(653\) | 9.31500 | + | 6.52243i | 0.364524 | + | 0.255242i | 0.741460 | − | 0.670997i | \(-0.234134\pi\) |
−0.376936 | + | 0.926239i | \(0.623022\pi\) | |||||||
\(654\) | −1.05664 | − | 4.12313i | −0.0413180 | − | 0.161227i | ||||
\(655\) | −0.967039 | − | 4.04622i | −0.0377853 | − | 0.158099i | ||||
\(656\) | −0.336033 | − | 0.194009i | −0.0131199 | − | 0.00757476i | ||||
\(657\) | −1.67740 | − | 25.6067i | −0.0654415 | − | 0.999012i | ||||
\(658\) | 0.703890 | − | 2.62696i | 0.0274405 | − | 0.102409i | ||||
\(659\) | 0.995226 | − | 5.64421i | 0.0387685 | − | 0.219867i | −0.959268 | − | 0.282496i | \(-0.908837\pi\) |
0.998037 | + | 0.0626293i | \(0.0199486\pi\) | |||||||
\(660\) | 12.5633 | + | 13.5599i | 0.489027 | + | 0.527817i | ||||
\(661\) | −38.9403 | − | 14.1731i | −1.51460 | − | 0.551269i | −0.554807 | − | 0.831979i | \(-0.687208\pi\) |
−0.959793 | + | 0.280709i | \(0.909430\pi\) | |||||||
\(662\) | −12.5482 | − | 26.9097i | −0.487700 | − | 1.04588i | ||||
\(663\) | −11.7253 | + | 13.6675i | −0.455372 | + | 0.530803i | ||||
\(664\) | 13.5549 | + | 2.39009i | 0.526031 | + | 0.0927535i | ||||
\(665\) | 29.5559 | + | 37.2350i | 1.14613 | + | 1.44391i | ||||
\(666\) | 23.2823 | − | 18.6846i | 0.902170 | − | 0.724013i | ||||
\(667\) | 0.00406023 | + | 0.0151530i | 0.000157213 | + | 0.000586726i | ||||
\(668\) | −19.6817 | + | 1.72193i | −0.761508 | + | 0.0666233i | ||||
\(669\) | 12.0483 | + | 12.3146i | 0.465816 | + | 0.476109i | ||||
\(670\) | 22.5286 | + | 11.2611i | 0.870356 | + | 0.435055i | ||||
\(671\) | −4.83057 | − | 5.75685i | −0.186482 | − | 0.222241i | ||||
\(672\) | 0.966166 | + | 5.85265i | 0.0372707 | + | 0.225771i | ||||
\(673\) | 32.8201 | + | 15.3043i | 1.26512 | + | 0.589936i | 0.935216 | − | 0.354077i | \(-0.115205\pi\) |
0.329907 | + | 0.944014i | \(0.392983\pi\) | |||||||
\(674\) | 16.2889 | 0.627425 | ||||||||
\(675\) | 10.9780 | − | 23.5475i | 0.422544 | − | 0.906342i | ||||
\(676\) | 9.26725 | 0.356433 | ||||||||
\(677\) | 9.63788 | + | 4.49422i | 0.370414 | + | 0.172727i | 0.598907 | − | 0.800819i | \(-0.295602\pi\) |
−0.228493 | + | 0.973546i | \(0.573380\pi\) | |||||||
\(678\) | 23.5934 | + | 8.88042i | 0.906099 | + | 0.341051i | ||||
\(679\) | 39.2560 | + | 46.7834i | 1.50651 | + | 1.79538i | ||||
\(680\) | 10.7632 | + | 5.38008i | 0.412751 | + | 0.206317i | ||||
\(681\) | 5.66337 | − | 20.2484i | 0.217021 | − | 0.775919i | ||||
\(682\) | 10.8418 | − | 0.948533i | 0.415153 | − | 0.0363212i | ||||
\(683\) | 3.39467 | + | 12.6691i | 0.129893 | + | 0.484768i | 0.999967 | − | 0.00815378i | \(-0.00259546\pi\) |
−0.870074 | + | 0.492922i | \(0.835929\pi\) | |||||||
\(684\) | 18.6190 | + | 0.406957i | 0.711914 | + | 0.0155604i | ||||
\(685\) | 11.3578 | + | 14.3088i | 0.433961 | + | 0.546710i | ||||
\(686\) | −7.65944 | − | 1.35057i | −0.292439 | − | 0.0515649i | ||||
\(687\) | −5.98809 | − | 17.0288i | −0.228460 | − | 0.649690i | ||||
\(688\) | 2.05592 | + | 4.40893i | 0.0783811 | + | 0.168089i | ||||
\(689\) | −14.2192 | − | 5.17538i | −0.541710 | − | 0.197166i | ||||
\(690\) | 1.27877 | − | 4.13497i | 0.0486819 | − | 0.157415i | ||||
\(691\) | 3.47031 | − | 19.6811i | 0.132017 | − | 0.748704i | −0.844874 | − | 0.534965i | \(-0.820325\pi\) |
0.976891 | − | 0.213739i | \(-0.0685642\pi\) | |||||||
\(692\) | −6.22750 | + | 23.2413i | −0.236734 | + | 0.883503i | ||||
\(693\) | 13.7240 | − | 47.0785i | 0.521332 | − | 1.78836i | ||||
\(694\) | 0.00727421 | + | 0.00419977i | 0.000276125 | + | 0.000159421i | ||||
\(695\) | 8.71280 | + | 36.4555i | 0.330495 | + | 1.38284i | ||||
\(696\) | 0.0234153 | + | 0.00654915i | 0.000887554 | + | 0.000248245i | ||||
\(697\) | 1.71042 | + | 1.19765i | 0.0647868 | + | 0.0453642i | ||||
\(698\) | 1.06682 | − | 12.1938i | 0.0403796 | − | 0.461541i | ||||
\(699\) | 15.8028 | − | 7.15979i | 0.597716 | − | 0.270808i | ||||
\(700\) | 2.41783 | − | 16.9523i | 0.0913855 | − | 0.640735i | ||||
\(701\) | 20.1319i | 0.760373i | 0.924910 | + | 0.380186i | \(0.124140\pi\) | ||||
−0.924910 | + | 0.380186i | \(0.875860\pi\) | |||||||
\(702\) | 8.85399 | − | 4.73192i | 0.334172 | − | 0.178595i | ||||
\(703\) | −43.6801 | − | 43.6801i | −1.64743 | − | 1.64743i | ||||
\(704\) | 4.48505 | − | 1.63242i | 0.169037 | − | 0.0615243i | ||||
\(705\) | 0.940969 | + | 2.92808i | 0.0354390 | + | 0.110278i | ||||
\(706\) | −14.8093 | + | 12.4265i | −0.557357 | + | 0.467678i | ||||
\(707\) | 4.17902 | − | 5.96826i | 0.157168 | − | 0.224459i | ||||
\(708\) | −0.220492 | + | 20.1782i | −0.00828659 | + | 0.758342i | ||||
\(709\) | −24.8113 | + | 29.5689i | −0.931808 | + | 1.11049i | 0.0618554 | + | 0.998085i | \(0.480298\pi\) |
−0.993663 | + | 0.112400i | \(0.964146\pi\) | |||||||
\(710\) | −5.04683 | − | 1.99396i | −0.189404 | − | 0.0748320i | ||||
\(711\) | −32.9473 | + | 5.06982i | −1.23562 | + | 0.190133i | ||||
\(712\) | −14.5308 | − | 3.89350i | −0.544563 | − | 0.145915i | ||||
\(713\) | −1.46159 | − | 2.08737i | −0.0547371 | − | 0.0781727i | ||||
\(714\) | −2.43448 | − | 31.8282i | −0.0911083 | − | 1.19114i | ||||
\(715\) | 4.13154 | − | 20.2015i | 0.154511 | − | 0.755492i | ||||
\(716\) | −2.67616 | + | 7.35268i | −0.100013 | + | 0.274783i | ||||
\(717\) | 0.217039 | − | 1.15683i | 0.00810547 | − | 0.0432025i | ||||
\(718\) | −8.00664 | + | 5.60631i | −0.298805 | + | 0.209225i | ||||
\(719\) | −19.2505 | − | 33.3428i | −0.717922 | − | 1.24348i | −0.961822 | − | 0.273677i | \(-0.911760\pi\) |
0.243899 | − | 0.969801i | \(-0.421573\pi\) | |||||||
\(720\) | −4.50511 | − | 4.97031i | −0.167896 | − | 0.185232i | ||||
\(721\) | −4.35541 | + | 7.54379i | −0.162204 | + | 0.280946i | ||||
\(722\) | −1.70275 | − | 19.4625i | −0.0633697 | − | 0.724319i | ||||
\(723\) | 17.1883 | − | 29.0337i | 0.639241 | − | 1.07978i | ||||
\(724\) | −0.856787 | + | 0.151075i | −0.0318422 | + | 0.00561464i | ||||
\(725\) | −0.0587865 | − | 0.0383475i | −0.00218328 | − | 0.00142419i | ||||
\(726\) | −20.3061 | − | 2.00035i | −0.753630 | − | 0.0742401i | ||||
\(727\) | −9.08040 | + | 19.4730i | −0.336773 | + | 0.722213i | −0.999648 | − | 0.0265174i | \(-0.991558\pi\) |
0.662875 | + | 0.748730i | \(0.269336\pi\) | |||||||
\(728\) | 4.67875 | − | 4.67875i | 0.173406 | − | 0.173406i | ||||
\(729\) | −15.0029 | + | 22.4480i | −0.555663 | + | 0.831408i | ||||
\(730\) | 15.3637 | + | 11.3929i | 0.568637 | + | 0.421670i | ||||
\(731\) | −8.95357 | − | 24.5997i | −0.331160 | − | 0.909854i | ||||
\(732\) | 1.73005 | + | 2.10815i | 0.0639446 | + | 0.0779196i | ||||
\(733\) | −27.7657 | − | 2.42919i | −1.02555 | − | 0.0897240i | −0.438052 | − | 0.898950i | \(-0.644332\pi\) |
−0.587498 | + | 0.809225i | \(0.699887\pi\) | |||||||
\(734\) | −3.88985 | − | 22.0604i | −0.143577 | − | 0.814265i | ||||
\(735\) | −16.8824 | + | 7.10203i | −0.622716 | + | 0.261962i | ||||
\(736\) | −0.856080 | − | 0.718336i | −0.0315555 | − | 0.0264782i | ||||
\(737\) | −51.9284 | + | 13.9142i | −1.91281 | + | 0.512535i | ||||
\(738\) | −0.646677 | − | 0.967897i | −0.0238045 | − | 0.0356288i | ||||
\(739\) | −38.2159 | + | 22.0640i | −1.40579 | + | 0.811636i | −0.994979 | − | 0.100083i | \(-0.968089\pi\) |
−0.410815 | + | 0.911719i | \(0.634756\pi\) | |||||||
\(740\) | −0.605193 | + | 22.2426i | −0.0222473 | + | 0.817654i | ||||
\(741\) | −11.7286 | − | 17.1460i | −0.430862 | − | 0.629873i | ||||
\(742\) | 24.3099 | − | 11.3359i | 0.892443 | − | 0.416153i | ||||
\(743\) | −21.7329 | + | 10.1342i | −0.797305 | + | 0.371789i | −0.778191 | − | 0.628028i | \(-0.783862\pi\) |
−0.0191139 | + | 0.999817i | \(0.506085\pi\) | |||||||
\(744\) | −3.93794 | + | 0.301206i | −0.144372 | + | 0.0110427i | ||||
\(745\) | −25.0463 | − | 26.4473i | −0.917624 | − | 0.968956i | ||||
\(746\) | −3.31280 | + | 1.91264i | −0.121290 | + | 0.0700269i | ||||
\(747\) | 33.2987 | + | 24.4175i | 1.21834 | + | 0.893391i | ||||
\(748\) | −24.8092 | + | 6.64760i | −0.907114 | + | 0.243060i | ||||
\(749\) | −15.7607 | − | 13.2248i | −0.575884 | − | 0.483224i | ||||
\(750\) | 8.09143 | + | 17.5934i | 0.295457 | + | 0.642421i | ||||
\(751\) | 4.45381 | + | 25.2588i | 0.162522 | + | 0.921707i | 0.951583 | + | 0.307392i | \(0.0994564\pi\) |
−0.789061 | + | 0.614315i | \(0.789433\pi\) | |||||||
\(752\) | 0.791084 | + | 0.0692108i | 0.0288479 | + | 0.00252386i | ||||
\(753\) | −7.58238 | + | 1.25171i | −0.276317 | + | 0.0456149i | ||||
\(754\) | −0.00927600 | − | 0.0254856i | −0.000337812 | − | 0.000928130i | ||||
\(755\) | −16.0311 | + | 21.6186i | −0.583432 | + | 0.786781i | ||||
\(756\) | −5.16674 | + | 17.0290i | −0.187912 | + | 0.619340i | ||||
\(757\) | 21.7829 | − | 21.7829i | 0.791712 | − | 0.791712i | −0.190060 | − | 0.981772i | \(-0.560868\pi\) |
0.981772 | + | 0.190060i | \(0.0608684\pi\) | |||||||
\(758\) | 6.32057 | − | 13.5545i | 0.229573 | − | 0.492322i | ||||
\(759\) | 3.81265 | + | 8.41510i | 0.138390 | + | 0.305449i | ||||
\(760\) | −9.20850 | + | 10.3869i | −0.334027 | + | 0.376773i | ||||
\(761\) | 17.2273 | − | 3.03764i | 0.624490 | − | 0.110114i | 0.147556 | − | 0.989054i | \(-0.452859\pi\) |
0.476934 | + | 0.878939i | \(0.341748\pi\) | |||||||
\(762\) | −16.0564 | − | 28.5259i | −0.581663 | − | 1.03338i | ||||
\(763\) | −0.733509 | − | 8.38405i | −0.0265548 | − | 0.303523i | ||||
\(764\) | 4.91725 | − | 8.51692i | 0.177900 | − | 0.308132i | ||||
\(765\) | 21.8200 | + | 28.7579i | 0.788903 | + | 1.03974i | ||||
\(766\) | −0.558477 | − | 0.967311i | −0.0201786 | − | 0.0349504i | ||||
\(767\) | 18.4385 | − | 12.9108i | 0.665776 | − | 0.466181i | ||||
\(768\) | −1.63397 | + | 0.574577i | −0.0589609 | + | 0.0207333i | ||||
\(769\) | −4.82741 | + | 13.2632i | −0.174081 | + | 0.478283i | −0.995794 | − | 0.0916178i | \(-0.970796\pi\) |
0.821713 | + | 0.569901i | \(0.193018\pi\) | |||||||
\(770\) | 20.1426 | + | 30.4998i | 0.725888 | + | 1.09914i | ||||
\(771\) | −20.2533 | − | 9.71510i | −0.729406 | − | 0.349881i | ||||
\(772\) | 4.68340 | + | 6.68859i | 0.168559 | + | 0.240728i | ||||
\(773\) | −31.5871 | − | 8.46375i | −1.13611 | − | 0.304420i | −0.358724 | − | 0.933444i | \(-0.616788\pi\) |
−0.777386 | + | 0.629024i | \(0.783455\pi\) | |||||||
\(774\) | −0.318910 | + | 14.5906i | −0.0114630 | + | 0.524450i | ||||
\(775\) | 11.1036 | + | 2.58738i | 0.398852 | + | 0.0929415i | ||||
\(776\) | −11.4624 | + | 13.6603i | −0.411476 | + | 0.490377i | ||||
\(777\) | 51.4385 | − | 28.9533i | 1.84535 | − | 1.03869i | ||||
\(778\) | −17.4416 | + | 24.9092i | −0.625312 | + | 0.893039i | ||||
\(779\) | −1.84520 | + | 1.54830i | −0.0661111 | + | 0.0554738i | ||||
\(780\) | −1.57932 | + | 7.31416i | −0.0565489 | + | 0.261889i | ||||
\(781\) | 10.8842 | − | 3.96154i | 0.389469 | − | 0.141755i | ||||
\(782\) | 4.25239 | + | 4.25239i | 0.152065 | + | 0.152065i | ||||
\(783\) | 0.0543099 | + | 0.0486922i | 0.00194088 | + | 0.00174012i | ||||
\(784\) | 4.72901i | 0.168893i | ||||||||
\(785\) | 11.7493 | + | 21.6924i | 0.419352 | + | 0.774236i | ||||
\(786\) | −2.61933 | − | 1.87706i | −0.0934284 | − | 0.0669525i | ||||
\(787\) | 3.14542 | − | 35.9523i | 0.112122 | − | 1.28156i | −0.706699 | − | 0.707514i | \(-0.749817\pi\) |
0.818821 | − | 0.574048i | \(-0.194628\pi\) | |||||||
\(788\) | −17.9622 | − | 12.5772i | −0.639876 | − | 0.448046i | ||||
\(789\) | 31.1645 | − | 30.4908i | 1.10949 | − | 1.08550i | ||||
\(790\) | 13.0039 | − | 21.1718i | 0.462658 | − | 0.753260i | ||||
\(791\) | 43.1680 | + | 24.9231i | 1.53488 | + | 0.886162i | ||||
\(792\) | 14.2335 | + | 1.55936i | 0.505766 | + | 0.0554093i | ||||
\(793\) | 0.787337 | − | 2.93838i | 0.0279592 | − | 0.104345i | ||||
\(794\) | 1.96376 | − | 11.1370i | 0.0696911 | − | 0.395238i | ||||
\(795\) | −16.1571 | + | 25.6723i | −0.573033 | + | 0.910503i | ||||
\(796\) | −4.97989 | − | 1.81253i | −0.176507 | − | 0.0642434i | ||||
\(797\) | 12.9450 | + | 27.7606i | 0.458534 | + | 0.983330i | 0.990621 | + | 0.136640i | \(0.0436303\pi\) |
−0.532087 | + | 0.846690i | \(0.678592\pi\) | |||||||
\(798\) | 36.1924 | + | 6.79026i | 1.28120 | + | 0.240373i | ||||
\(799\) | −4.20840 | − | 0.742055i | −0.148883 | − | 0.0262520i | ||||
\(800\) | 4.99730 | − | 0.164282i | 0.176681 | − | 0.00580826i | ||||
\(801\) | −33.9295 | − | 29.7576i | −1.19884 | − | 1.05143i | ||||
\(802\) | −3.53633 | − | 13.1978i | −0.124872 | − | 0.466029i | ||||
\(803\) | −40.6712 | + | 3.55827i | −1.43526 | + | 0.125569i | ||||
\(804\) | 18.8985 | − | 4.84316i | 0.666500 | − | 0.170805i | ||||
\(805\) | 3.82642 | − | 7.65501i | 0.134864 | − | 0.269804i | ||||
\(806\) | 2.83176 | + | 3.37476i | 0.0997446 | + | 0.118871i | ||||
\(807\) | −1.27924 | + | 1.04980i | −0.0450313 | + | 0.0369548i | ||||
\(808\) | 1.92809 | + | 0.899085i | 0.0678301 | + | 0.0316297i | ||||
\(809\) | −19.4742 | −0.684678 | −0.342339 | − | 0.939577i | \(-0.611219\pi\) | ||||
−0.342339 | + | 0.939577i | \(0.611219\pi\) | |||||||
\(810\) | −5.52589 | − | 19.3511i | −0.194160 | − | 0.679928i | ||||
\(811\) | −43.6309 | −1.53209 | −0.766044 | − | 0.642788i | \(-0.777777\pi\) | ||||
−0.766044 | + | 0.642788i | \(0.777777\pi\) | |||||||
\(812\) | 0.0435713 | + | 0.0203176i | 0.00152905 | + | 0.000713009i | ||||
\(813\) | −9.73348 | + | 7.98776i | −0.341368 | + | 0.280143i | ||||
\(814\) | −30.5288 | − | 36.3828i | −1.07003 | − | 1.27522i | ||||
\(815\) | 7.80378 | + | 23.4025i | 0.273355 | + | 0.819754i | ||||
\(816\) | 9.02892 | − | 2.31386i | 0.316075 | − | 0.0810011i | ||||
\(817\) | 30.0843 | − | 2.63203i | 1.05252 | − | 0.0920831i | ||||
\(818\) | 5.39223 | + | 20.1241i | 0.188535 | + | 0.703621i | ||||
\(819\) | 18.7971 | − | 6.37996i | 0.656822 | − | 0.222934i | ||||
\(820\) | 0.861955 | + | 0.0990999i | 0.0301008 | + | 0.00346072i | ||||
\(821\) | 2.91570 | + | 0.514117i | 0.101759 | + | 0.0179428i | 0.224296 | − | 0.974521i | \(-0.427992\pi\) |
−0.122537 | + | 0.992464i | \(0.539103\pi\) | |||||||
\(822\) | 13.9081 | + | 2.60938i | 0.485102 | + | 0.0910127i | ||||
\(823\) | −15.2677 | − | 32.7417i | −0.532200 | − | 1.14131i | −0.970194 | − | 0.242328i | \(-0.922089\pi\) |
0.437995 | − | 0.898977i | \(-0.355689\pi\) | |||||||
\(824\) | −2.39009 | − | 0.869922i | −0.0832627 | − | 0.0303052i | ||||
\(825\) | −37.8359 | − | 16.6428i | −1.31728 | − | 0.579428i | ||||
\(826\) | −6.92864 | + | 39.2942i | −0.241078 | + | 1.36722i | ||||
\(827\) | 2.70802 | − | 10.1065i | 0.0941670 | − | 0.351436i | −0.902725 | − | 0.430218i | \(-0.858437\pi\) |
0.996892 | + | 0.0787823i | \(0.0251032\pi\) | |||||||
\(828\) | −1.35013 | − | 3.06872i | −0.0469204 | − | 0.106645i | ||||
\(829\) | 21.9321 | + | 12.6625i | 0.761735 | + | 0.439788i | 0.829918 | − | 0.557885i | \(-0.188387\pi\) |
−0.0681835 | + | 0.997673i | \(0.521720\pi\) | |||||||
\(830\) | −29.9341 | + | 7.15420i | −1.03903 | + | 0.248326i | ||||
\(831\) | 6.44528 | − | 6.30594i | 0.223584 | − | 0.218751i | ||||
\(832\) | 1.58263 | + | 1.10817i | 0.0548678 | + | 0.0384188i | ||||
\(833\) | 2.21796 | − | 25.3514i | 0.0768478 | − | 0.878374i | ||||
\(834\) | 23.5996 | + | 16.9119i | 0.817186 | + | 0.585610i | ||||
\(835\) | 38.8457 | − | 21.0401i | 1.34431 | − | 0.728123i | ||||
\(836\) | − | 29.6292i | − | 1.02475i | ||||||
\(837\) | −10.9950 | − | 4.41509i | −0.380042 | − | 0.152608i | ||||
\(838\) | 5.07375 | + | 5.07375i | 0.175270 | + | 0.175270i | ||||
\(839\) | 36.5830 | − | 13.3151i | 1.26299 | − | 0.459689i | 0.378216 | − | 0.925717i | \(-0.376538\pi\) |
0.884770 | + | 0.466028i | \(0.154315\pi\) | |||||||
\(840\) | −7.18824 | − | 11.1474i | −0.248018 | − | 0.384622i | ||||
\(841\) | −22.2151 | + | 18.6407i | −0.766039 | + | 0.642783i | ||||
\(842\) | −12.3565 | + | 17.6469i | −0.425832 | + | 0.608151i | ||||
\(843\) | 13.2772 | − | 7.47335i | 0.457290 | − | 0.257396i | ||||
\(844\) | −10.5539 | + | 12.5776i | −0.363279 | + | 0.432939i | ||||
\(845\) | −19.0119 | + | 8.24353i | −0.654031 | + | 0.283586i | ||||
\(846\) | 2.03662 | + | 1.23596i | 0.0700206 | + | 0.0424931i | ||||
\(847\) | −38.9706 | − | 10.4421i | −1.33905 | − | 0.358796i | ||||
\(848\) | 4.49229 | + | 6.41565i | 0.154266 | + | 0.220314i | ||||
\(849\) | 18.2045 | + | 8.73231i | 0.624776 | + | 0.299692i | ||||
\(850\) | −26.8667 | − | 1.46310i | −0.921521 | − | 0.0501840i | ||||
\(851\) | −3.80341 | + | 10.4498i | −0.130379 | + | 0.358214i | ||||
\(852\) | −3.96529 | + | 1.39437i | −0.135849 | + | 0.0477704i | ||||
\(853\) | −10.0582 | + | 7.04282i | −0.344386 | + | 0.241142i | −0.732954 | − | 0.680279i | \(-0.761859\pi\) |
0.388568 | + | 0.921420i | \(0.372970\pi\) | |||||||
\(854\) | 2.69619 | + | 4.66994i | 0.0922617 | + | 0.159802i | ||||
\(855\) | −38.5592 | + | 15.7273i | −1.31870 | + | 0.537863i | ||||
\(856\) | 3.00373 | − | 5.20262i | 0.102665 | − | 0.177822i | ||||
\(857\) | 3.95395 | + | 45.1939i | 0.135065 | + | 1.54379i | 0.697277 | + | 0.716802i | \(0.254395\pi\) |
−0.562212 | + | 0.826993i | \(0.690050\pi\) | |||||||
\(858\) | −7.83433 | − | 13.9185i | −0.267460 | − | 0.475170i | ||||
\(859\) | −26.3810 | + | 4.65169i | −0.900110 | + | 0.158714i | −0.604509 | − | 0.796598i | \(-0.706631\pi\) |
−0.295600 | + | 0.955312i | \(0.595520\pi\) | |||||||
\(860\) | −8.13964 | − | 7.21619i | −0.277559 | − | 0.246070i | ||||
\(861\) | −0.949875 | − | 2.09652i | −0.0323716 | − | 0.0714493i | ||||
\(862\) | −9.16527 | + | 19.6550i | −0.312170 | + | 0.669451i | ||||
\(863\) | 13.4724 | − | 13.4724i | 0.458608 | − | 0.458608i | −0.439591 | − | 0.898198i | \(-0.644876\pi\) |
0.898198 | + | 0.439591i | \(0.144876\pi\) | |||||||
\(864\) | −5.15876 | − | 0.622285i | −0.175504 | − | 0.0211706i | ||||
\(865\) | −7.89812 | − | 53.2196i | −0.268544 | − | 1.80952i | ||||
\(866\) | −4.66485 | − | 12.8166i | −0.158518 | − | 0.435525i | ||||
\(867\) | −20.4360 | + | 3.37361i | −0.694044 | + | 0.114574i | ||||
\(868\) | −7.77947 | − | 0.680615i | −0.264052 | − | 0.0231016i | ||||
\(869\) | 9.20940 | + | 52.2291i | 0.312408 | + | 1.77175i | ||||
\(870\) | −0.0538626 | + | 0.00739298i | −0.00182611 | + | 0.000250646i | ||||
\(871\) | −16.6705 | − | 13.9882i | −0.564858 | − | 0.473972i | ||||
\(872\) | 2.37368 | − | 0.636027i | 0.0803831 | − | 0.0215386i | ||||
\(873\) | −48.9671 | + | 21.5439i | −1.65729 | + | 0.729150i | ||||
\(874\) | −6.00799 | + | 3.46871i | −0.203223 | + | 0.117331i | ||||
\(875\) | 10.1194 | + | 36.9286i | 0.342097 | + | 1.24842i | ||||
\(876\) | 14.7726 | − | 1.12993i | 0.499118 | − | 0.0381767i | ||||
\(877\) | 35.5284 | − | 16.5672i | 1.19971 | − | 0.559434i | 0.283051 | − | 0.959105i | \(-0.408654\pi\) |
0.916658 | + | 0.399671i | \(0.130876\pi\) | |||||||
\(878\) | −26.6011 | + | 12.4043i | −0.897743 | + | 0.418625i | ||||
\(879\) | −11.9919 | − | 17.5308i | −0.404476 | − | 0.591299i | ||||
\(880\) | −7.74907 | + | 7.33855i | −0.261221 | + | 0.247383i | ||||
\(881\) | −22.1803 | + | 12.8058i | −0.747272 | + | 0.431438i | −0.824707 | − | 0.565560i | \(-0.808660\pi\) |
0.0774355 | + | 0.996997i | \(0.475327\pi\) | |||||||
\(882\) | −6.27524 | + | 12.7237i | −0.211298 | + | 0.428430i | ||||
\(883\) | 2.67694 | − | 0.717285i | 0.0900863 | − | 0.0241386i | −0.213494 | − | 0.976944i | \(-0.568484\pi\) |
0.303581 | + | 0.952806i | \(0.401818\pi\) | |||||||
\(884\) | −7.96445 | − | 6.68297i | −0.267874 | − | 0.224773i | ||||
\(885\) | −17.4968 | − | 41.5920i | −0.588149 | − | 1.39810i | ||||
\(886\) | 3.06286 | + | 17.3703i | 0.102899 | + | 0.583568i | ||||
\(887\) | −47.4566 | − | 4.15191i | −1.59344 | − | 0.139408i | −0.744397 | − | 0.667737i | \(-0.767263\pi\) |
−0.849039 | + | 0.528330i | \(0.822819\pi\) | |||||||
\(888\) | 10.9338 | + | 13.3234i | 0.366914 | + | 0.447103i | ||||
\(889\) | −22.1373 | − | 60.8218i | −0.742462 | − | 2.03990i | ||||
\(890\) | 33.2735 | − | 4.93800i | 1.11533 | − | 0.165522i | ||||
\(891\) | 36.2270 | + | 23.0829i | 1.21365 | + | 0.773307i | ||||
\(892\) | −7.03339 | + | 7.03339i | −0.235495 | + | 0.235495i | ||||
\(893\) | 2.08336 | − | 4.46778i | 0.0697170 | − | 0.149509i | ||||
\(894\) | −28.0787 | − | 2.76604i | −0.939094 | − | 0.0925102i | ||||
\(895\) | −1.05027 | − | 17.4647i | −0.0351067 | − | 0.583780i | ||||
\(896\) | −3.37273 | + | 0.594704i | −0.112675 | + | 0.0198677i | ||||
\(897\) | −1.90512 | + | 3.21804i | −0.0636101 | + | 0.107447i | ||||
\(898\) | −0.613887 | − | 7.01676i | −0.0204857 | − | 0.234152i | ||||
\(899\) | −0.0160044 | + | 0.0277204i | −0.000533776 | + | 0.000924528i | ||||
\(900\) | 13.6636 | + | 6.18923i | 0.455453 | + | 0.206308i | ||||
\(901\) | −21.0734 | − | 36.5001i | −0.702055 | − | 1.21600i | ||||
\(902\) | −1.51704 | + | 1.06224i | −0.0505119 | + | 0.0353688i | ||||
\(903\) | −5.32115 | + | 28.3620i | −0.177077 | + | 0.943827i | ||||
\(904\) | −4.97797 | + | 13.6769i | −0.165565 | + | 0.454886i | ||||
\(905\) | 1.62333 | − | 1.07207i | 0.0539612 | − | 0.0356369i | ||||
\(906\) | 1.58994 | + | 20.7867i | 0.0528223 | + | 0.690593i | ||||
\(907\) | 16.4036 | + | 23.4268i | 0.544673 | + | 0.777874i | 0.993265 | − | 0.115863i | \(-0.0369632\pi\) |
−0.448592 | + | 0.893737i | \(0.648074\pi\) | |||||||
\(908\) | 11.7254 | + | 3.14182i | 0.389122 | + | 0.104265i | ||||
\(909\) | 3.99462 | + | 4.97756i | 0.132493 | + | 0.165095i | ||||
\(910\) | −5.43664 | + | 13.7605i | −0.180223 | + | 0.456155i | ||||
\(911\) | 22.1960 | − | 26.4522i | 0.735387 | − | 0.876400i | −0.260642 | − | 0.965436i | \(-0.583934\pi\) |
0.996028 | + | 0.0890359i | \(0.0283786\pi\) | |||||||
\(912\) | −0.117485 | + | 10.7516i | −0.00389033 | + | 0.356021i | ||||
\(913\) | 37.6805 | − | 53.8133i | 1.24704 | − | 1.78096i | ||||
\(914\) | 3.88646 | − | 3.26113i | 0.128553 | − | 0.107869i | ||||
\(915\) | −5.42451 | − | 2.78598i | −0.179329 | − | 0.0921016i | ||||
\(916\) | 9.79323 | − | 3.56444i | 0.323577 | − | 0.117773i | ||||
\(917\) | −4.50549 | − | 4.50549i | −0.148785 | − | 0.148785i | ||||
\(918\) | 27.3633 | + | 5.75548i | 0.903125 | + | 0.189959i | ||||
\(919\) | 44.2093i | 1.45833i | 0.684338 | + | 0.729165i | \(0.260091\pi\) | ||||
−0.684338 | + | 0.729165i | \(0.739909\pi\) | |||||||
\(920\) | 2.39525 | + | 0.712169i | 0.0789690 | + | 0.0234795i | ||||
\(921\) | −41.1234 | + | 18.6319i | −1.35506 | + | 0.613941i | ||||
\(922\) | −0.178830 | + | 2.04404i | −0.00588946 | + | 0.0673169i | ||||
\(923\) | 3.84069 | + | 2.68928i | 0.126418 | + | 0.0885188i | ||||
\(924\) | 27.2657 | + | 7.62610i | 0.896977 | + | 0.250880i | ||||
\(925\) | −18.5440 | − | 46.1694i | −0.609722 | − | 1.51804i | ||||
\(926\) | −12.0663 | − | 6.96651i | −0.396525 | − | 0.228934i | ||||
\(927\) | −5.27635 | − | 5.51215i | −0.173298 | − | 0.181043i | ||||
\(928\) | −0.00363321 | + | 0.0135593i | −0.000119266 | + | 0.000445107i | ||||
\(929\) | 2.26170 | − | 12.8267i | 0.0742039 | − | 0.420831i | −0.924964 | − | 0.380054i | \(-0.875905\pi\) |
0.999168 | − | 0.0407775i | \(-0.0129835\pi\) | |||||||
\(930\) | 7.81082 | − | 4.12086i | 0.256127 | − | 0.135128i | ||||
\(931\) | 27.5863 | + | 10.0406i | 0.904106 | + | 0.329068i | ||||
\(932\) | 4.23315 | + | 9.07802i | 0.138662 | + | 0.297361i | ||||
\(933\) | −12.7141 | − | 36.1560i | −0.416239 | − | 1.18369i | ||||
\(934\) | −1.34914 | − | 0.237890i | −0.0441453 | − | 0.00778400i | ||||
\(935\) | 44.9833 | − | 35.7063i | 1.47111 | − | 1.16772i | ||||
\(936\) | 2.78767 | + | 5.08170i | 0.0911179 | + | 0.166100i | ||||
\(937\) | −10.1669 | − | 37.9433i | −0.332137 | − | 1.23955i | −0.906940 | − | 0.421260i | \(-0.861588\pi\) |
0.574803 | − | 0.818292i | \(-0.305079\pi\) | |||||||
\(938\) | 38.4286 | − | 3.36207i | 1.25474 | − | 0.109775i | ||||
\(939\) | −10.2111 | + | 36.5078i | −0.333226 | + | 1.19139i | ||||
\(940\) | −1.68449 | + | 0.561708i | −0.0549420 | + | 0.0183209i | ||||
\(941\) | 33.7793 | + | 40.2566i | 1.10117 | + | 1.31233i | 0.945901 | + | 0.324456i | \(0.105181\pi\) |
0.155273 | + | 0.987872i | \(0.450374\pi\) | |||||||
\(942\) | 17.8844 | + | 6.73158i | 0.582704 | + | 0.219327i | ||||
\(943\) | 0.392995 | + | 0.183257i | 0.0127977 | + | 0.00596766i | ||||
\(944\) | −11.6506 | −0.379193 | ||||||||
\(945\) | −4.54825 | − | 39.5314i | −0.147955 | − | 1.28596i | ||||
\(946\) | 23.2187 | 0.754906 | ||||||||
\(947\) | −36.8009 | − | 17.1605i | −1.19587 | − | 0.557643i | −0.280342 | − | 0.959900i | \(-0.590448\pi\) |
−0.915527 | + | 0.402258i | \(0.868226\pi\) | |||||||
\(948\) | −3.13473 | − | 18.9890i | −0.101811 | − | 0.616734i | ||||
\(949\) | −10.6229 | − | 12.6599i | −0.344834 | − | 0.410958i | ||||
\(950\) | 9.65191 | − | 29.5002i | 0.313149 | − | 0.957113i | ||||
\(951\) | 12.0239 | + | 12.2896i | 0.389901 | + | 0.398516i | ||||
\(952\) | 18.3596 | − | 1.60625i | 0.595037 | − | 0.0520590i | ||||
\(953\) | −7.83630 | − | 29.2455i | −0.253843 | − | 0.947354i | −0.968731 | − | 0.248115i | \(-0.920189\pi\) |
0.714888 | − | 0.699239i | \(-0.246478\pi\) | |||||||
\(954\) | 3.57346 | + | 23.2229i | 0.115695 | + | 0.751868i | ||||
\(955\) | −2.51174 | + | 21.8467i | −0.0812779 | + | 0.706942i | ||||
\(956\) | 0.669224 | + | 0.118002i | 0.0216443 | + | 0.00381647i | ||||
\(957\) | 0.0755609 | − | 0.0880773i | 0.00244254 | − | 0.00284713i | ||||
\(958\) | −2.93621 | − | 6.29673i | −0.0948648 | − | 0.203438i | ||||
\(959\) | 26.2928 | + | 9.56979i | 0.849038 | + | 0.309025i | ||||
\(960\) | 2.84102 | − | 2.63223i | 0.0916934 | − | 0.0849548i | ||||
\(961\) | −4.48023 | + | 25.4087i | −0.144524 | + | 0.819635i | ||||
\(962\) | 4.97590 | − | 18.5703i | 0.160429 | − | 0.598731i | ||||
\(963\) | 14.9854 | − | 10.0121i | 0.482899 | − | 0.322637i | ||||
\(964\) | 16.8701 | + | 9.73993i | 0.543348 | + | 0.313702i | ||||
\(965\) | −15.5578 | − | 9.55573i | −0.500824 | − | 0.307610i | ||||
\(966\) | −1.64566 | − | 6.42154i | −0.0529482 | − | 0.206610i | ||||
\(967\) | −32.9473 | − | 23.0699i | −1.05951 | − | 0.741879i | −0.0922710 | − | 0.995734i | \(-0.529413\pi\) |
−0.967242 | + | 0.253855i | \(0.918301\pi\) | |||||||
\(968\) | 1.02674 | − | 11.7356i | 0.0330005 | − | 0.377198i | ||||
\(969\) | 5.67244 | − | 57.5823i | 0.182225 | − | 1.84981i | ||||
\(970\) | 11.3640 | − | 38.2206i | 0.364875 | − | 1.22719i | ||||
\(971\) | 27.9762i | 0.897800i | 0.893582 | + | 0.448900i | \(0.148184\pi\) | ||||
−0.893582 | + | 0.448900i | \(0.851816\pi\) | |||||||
\(972\) | −13.0542 | − | 8.51979i | −0.418715 | − | 0.273272i | ||||
\(973\) | 40.5935 | + | 40.5935i | 1.30137 | + | 1.30137i | ||||
\(974\) | −18.7470 | + | 6.82334i | −0.600692 | + | 0.218634i | ||||
\(975\) | −3.26618 | − | 16.4100i | −0.104602 | − | 0.525541i | ||||
\(976\) | −1.20616 | + | 1.01209i | −0.0386081 | + | 0.0323961i | ||||
\(977\) | 5.53031 | − | 7.89810i | 0.176930 | − | 0.252682i | −0.720885 | − | 0.693054i | \(-0.756265\pi\) |
0.897815 | + | 0.440372i | \(0.145153\pi\) | |||||||
\(978\) | 16.4433 | + | 9.73465i | 0.525799 | + | 0.311280i | ||||
\(979\) | −46.1523 | + | 55.0022i | −1.47503 | + | 1.75788i | ||||
\(980\) | −4.20661 | − | 9.70166i | −0.134375 | − | 0.309908i | ||||
\(981\) | 7.23054 | + | 1.43852i | 0.230854 | + | 0.0459285i | ||||
\(982\) | 40.3629 | + | 10.8152i | 1.28803 | + | 0.345127i | ||||
\(983\) | 22.3485 | + | 31.9169i | 0.712806 | + | 1.01799i | 0.998223 | + | 0.0595888i | \(0.0189789\pi\) |
−0.285417 | + | 0.958403i | \(0.592132\pi\) | |||||||
\(984\) | 0.554703 | − | 0.379443i | 0.0176833 | − | 0.0120962i | ||||
\(985\) | 48.0376 | + | 9.82450i | 1.53061 | + | 0.313035i | ||||
\(986\) | 0.0258365 | − | 0.0709852i | 0.000822801 | − | 0.00226063i | ||||
\(987\) | 3.57517 | + | 3.06712i | 0.113799 | + | 0.0976274i | ||||
\(988\) | 9.82465 | − | 6.87929i | 0.312564 | − | 0.218859i | ||||
\(989\) | −2.71824 | − | 4.70813i | −0.0864349 | − | 0.149710i | ||||
\(990\) | −30.5874 | + | 9.46213i | −0.972132 | + | 0.300726i | ||||
\(991\) | −12.5007 | + | 21.6518i | −0.397097 | + | 0.687793i | −0.993366 | − | 0.114992i | \(-0.963316\pi\) |
0.596269 | + | 0.802785i | \(0.296649\pi\) | |||||||
\(992\) | −0.198733 | − | 2.27153i | −0.00630979 | − | 0.0721212i | ||||
\(993\) | 51.4243 | + | 0.561927i | 1.63190 | + | 0.0178322i | ||||
\(994\) | −8.18489 | + | 1.44322i | −0.259609 | + | 0.0457761i | ||||
\(995\) | 11.8286 | − | 0.711336i | 0.374993 | − | 0.0225509i | ||||
\(996\) | −13.8866 | + | 19.3779i | −0.440013 | + | 0.614013i | ||||
\(997\) | −9.78742 | + | 20.9892i | −0.309971 | + | 0.664735i | −0.998150 | − | 0.0608066i | \(-0.980633\pi\) |
0.688179 | + | 0.725541i | \(0.258410\pi\) | |||||||
\(998\) | 3.81527 | − | 3.81527i | 0.120770 | − | 0.120770i | ||||
\(999\) | 11.7385 | + | 50.3562i | 0.371388 | + | 1.59320i |
(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 | 270.2.r.a.263.7 | yes | 216 | |
3.2 | odd | 2 | 810.2.s.a.143.17 | 216 | |||
5.2 | odd | 4 | inner | 270.2.r.a.47.11 | yes | 216 | |
15.2 | even | 4 | 810.2.s.a.467.7 | 216 | |||
27.4 | even | 9 | 810.2.s.a.503.7 | 216 | |||
27.23 | odd | 18 | inner | 270.2.r.a.23.11 | ✓ | 216 | |
135.77 | even | 36 | inner | 270.2.r.a.77.7 | yes | 216 | |
135.112 | odd | 36 | 810.2.s.a.17.17 | 216 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
270.2.r.a.23.11 | ✓ | 216 | 27.23 | odd | 18 | inner | |
270.2.r.a.47.11 | yes | 216 | 5.2 | odd | 4 | inner | |
270.2.r.a.77.7 | yes | 216 | 135.77 | even | 36 | inner | |
270.2.r.a.263.7 | yes | 216 | 1.1 | even | 1 | trivial | |
810.2.s.a.17.17 | 216 | 135.112 | odd | 36 | |||
810.2.s.a.143.17 | 216 | 3.2 | odd | 2 | |||
810.2.s.a.467.7 | 216 | 15.2 | even | 4 | |||
810.2.s.a.503.7 | 216 | 27.4 | even | 9 |