Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [588,2,Mod(55,588)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(588, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([7, 0, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("588.55");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 588 = 2^{2} \cdot 3 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 588.x (of order \(14\), degree \(6\), 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: | \(4.69520363885\) |
Analytic rank: | \(0\) |
Dimension: | \(168\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{14})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{14}]$ |
Embedding invariants
Embedding label | 559.2 | ||
Character | \(\chi\) | \(=\) | 588.559 |
Dual form | 588.2.x.a.223.2 |
$q$-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 \(\left(\mathbb{Z}/588\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(295\) | \(493\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{13}{14}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.41331 | + | 0.0505560i | −0.999361 | + | 0.0357485i | ||||
\(3\) | −0.222521 | − | 0.974928i | −0.128473 | − | 0.562875i | ||||
\(4\) | 1.99489 | − | 0.142903i | 0.997444 | − | 0.0714513i | ||||
\(5\) | 2.57339 | − | 0.587359i | 1.15085 | − | 0.262675i | 0.395800 | − | 0.918337i | \(-0.370467\pi\) |
0.755055 | + | 0.655662i | \(0.227610\pi\) | |||||||
\(6\) | 0.363779 | + | 1.36663i | 0.148512 | + | 0.557922i | ||||
\(7\) | −2.51025 | + | 0.835852i | −0.948785 | + | 0.315922i | ||||
\(8\) | −2.81217 | + | 0.302819i | −0.994252 | + | 0.107063i | ||||
\(9\) | −0.900969 | + | 0.433884i | −0.300323 | + | 0.144628i | ||||
\(10\) | −3.60730 | + | 0.960221i | −1.14073 | + | 0.303648i | ||||
\(11\) | 1.03750 | − | 2.15439i | 0.312818 | − | 0.649574i | −0.683983 | − | 0.729498i | \(-0.739754\pi\) |
0.996801 | + | 0.0799245i | \(0.0254679\pi\) | |||||||
\(12\) | −0.583224 | − | 1.91307i | −0.168362 | − | 0.552257i | ||||
\(13\) | 1.89781 | − | 3.94084i | 0.526358 | − | 1.09299i | −0.453122 | − | 0.891449i | \(-0.649690\pi\) |
0.979479 | − | 0.201544i | \(-0.0645960\pi\) | |||||||
\(14\) | 3.50550 | − | 1.30823i | 0.936885 | − | 0.349638i | ||||
\(15\) | −1.14527 | − | 2.37817i | −0.295706 | − | 0.614040i | ||||
\(16\) | 3.95916 | − | 0.570149i | 0.989789 | − | 0.142537i | ||||
\(17\) | −0.584700 | − | 0.466282i | −0.141810 | − | 0.113090i | 0.550015 | − | 0.835155i | \(-0.314622\pi\) |
−0.691826 | + | 0.722065i | \(0.743193\pi\) | |||||||
\(18\) | 1.25141 | − | 0.658761i | 0.294961 | − | 0.155272i | ||||
\(19\) | −5.65127 | −1.29649 | −0.648245 | − | 0.761432i | \(-0.724497\pi\) | ||||
−0.648245 | + | 0.761432i | \(0.724497\pi\) | |||||||
\(20\) | 5.04969 | − | 1.53946i | 1.12914 | − | 0.344234i | ||||
\(21\) | 1.37348 | + | 2.26132i | 0.299718 | + | 0.493460i | ||||
\(22\) | −1.35739 | + | 3.09728i | −0.289397 | + | 0.660341i | ||||
\(23\) | 6.32994 | − | 5.04796i | 1.31988 | − | 1.05257i | 0.325634 | − | 0.945496i | \(-0.394422\pi\) |
0.994251 | − | 0.107077i | \(-0.0341491\pi\) | |||||||
\(24\) | 0.920994 | + | 2.67428i | 0.187997 | + | 0.545885i | ||||
\(25\) | 1.77249 | − | 0.853588i | 0.354499 | − | 0.170718i | ||||
\(26\) | −2.48296 | + | 5.66558i | −0.486948 | + | 1.11111i | ||||
\(27\) | 0.623490 | + | 0.781831i | 0.119991 | + | 0.150464i | ||||
\(28\) | −4.88822 | + | 2.02615i | −0.923787 | + | 0.382907i | ||||
\(29\) | 1.27868 | − | 1.60341i | 0.237444 | − | 0.297745i | −0.648805 | − | 0.760955i | \(-0.724731\pi\) |
0.886249 | + | 0.463209i | \(0.153302\pi\) | |||||||
\(30\) | 1.73885 | + | 3.30319i | 0.317468 | + | 0.603077i | ||||
\(31\) | 0.240610 | 0.0432148 | 0.0216074 | − | 0.999767i | \(-0.493122\pi\) | ||||
0.0216074 | + | 0.999767i | \(0.493122\pi\) | |||||||
\(32\) | −5.56669 | + | 1.00596i | −0.984061 | + | 0.177830i | ||||
\(33\) | −2.33124 | − | 0.532091i | −0.405817 | − | 0.0926252i | ||||
\(34\) | 0.849935 | + | 0.629441i | 0.145763 | + | 0.107948i | ||||
\(35\) | −5.96890 | + | 3.62539i | −1.00893 | + | 0.612803i | ||||
\(36\) | −1.73533 | + | 0.994300i | −0.289222 | + | 0.165717i | ||||
\(37\) | −1.99964 | + | 2.50747i | −0.328739 | + | 0.412226i | −0.918543 | − | 0.395321i | \(-0.870633\pi\) |
0.589804 | + | 0.807546i | \(0.299205\pi\) | |||||||
\(38\) | 7.98699 | − | 0.285705i | 1.29566 | − | 0.0463475i | ||||
\(39\) | −4.26434 | − | 0.973308i | −0.682841 | − | 0.155854i | ||||
\(40\) | −7.05894 | + | 2.43102i | −1.11612 | + | 0.384379i | ||||
\(41\) | 11.4238 | − | 2.60740i | 1.78409 | − | 0.407208i | 0.802263 | − | 0.596971i | \(-0.203629\pi\) |
0.981830 | + | 0.189763i | \(0.0607721\pi\) | |||||||
\(42\) | −2.05547 | − | 3.12650i | −0.317166 | − | 0.482430i | ||||
\(43\) | −9.66372 | − | 2.20568i | −1.47370 | − | 0.336363i | −0.591145 | − | 0.806565i | \(-0.701324\pi\) |
−0.882559 | + | 0.470202i | \(0.844181\pi\) | |||||||
\(44\) | 1.76183 | − | 4.44603i | 0.265606 | − | 0.670265i | ||||
\(45\) | −2.06370 | + | 1.64574i | −0.307638 | + | 0.245333i | ||||
\(46\) | −8.69097 | + | 7.45435i | −1.28141 | + | 1.09908i | ||||
\(47\) | 2.94725 | + | 1.41932i | 0.429900 | + | 0.207029i | 0.636305 | − | 0.771438i | \(-0.280462\pi\) |
−0.206405 | + | 0.978467i | \(0.566176\pi\) | |||||||
\(48\) | −1.43685 | − | 3.73302i | −0.207391 | − | 0.538815i | ||||
\(49\) | 5.60270 | − | 4.19639i | 0.800386 | − | 0.599485i | ||||
\(50\) | −2.46193 | + | 1.29599i | −0.348169 | + | 0.183281i | ||||
\(51\) | −0.324484 | + | 0.673798i | −0.0454368 | + | 0.0943505i | ||||
\(52\) | 3.22276 | − | 8.13274i | 0.446917 | − | 1.12781i | ||||
\(53\) | −7.68409 | − | 9.63554i | −1.05549 | − | 1.32354i | −0.944061 | − | 0.329771i | \(-0.893028\pi\) |
−0.111430 | − | 0.993772i | \(-0.535543\pi\) | |||||||
\(54\) | −0.920710 | − | 1.07345i | −0.125293 | − | 0.146078i | ||||
\(55\) | 1.40449 | − | 6.15347i | 0.189381 | − | 0.829734i | ||||
\(56\) | 6.80614 | − | 3.11071i | 0.909508 | − | 0.415686i | ||||
\(57\) | 1.25753 | + | 5.50958i | 0.166563 | + | 0.729761i | ||||
\(58\) | −1.72610 | + | 2.33076i | −0.226648 | + | 0.306043i | ||||
\(59\) | 0.367809 | − | 1.61148i | 0.0478847 | − | 0.209797i | −0.945326 | − | 0.326127i | \(-0.894256\pi\) |
0.993211 | + | 0.116331i | \(0.0371133\pi\) | |||||||
\(60\) | −2.62452 | − | 4.58052i | −0.338824 | − | 0.591342i | ||||
\(61\) | −1.02870 | − | 0.820364i | −0.131712 | − | 0.105037i | 0.555418 | − | 0.831571i | \(-0.312558\pi\) |
−0.687130 | + | 0.726535i | \(0.741130\pi\) | |||||||
\(62\) | −0.340056 | + | 0.0121643i | −0.0431872 | + | 0.00154486i | ||||
\(63\) | 1.89899 | − | 1.84223i | 0.239251 | − | 0.232100i | ||||
\(64\) | 7.81660 | − | 1.70316i | 0.977075 | − | 0.212895i | ||||
\(65\) | 2.56911 | − | 11.2560i | 0.318659 | − | 1.39614i | ||||
\(66\) | 3.32167 | + | 0.634151i | 0.408869 | + | 0.0780586i | ||||
\(67\) | − | 9.89182i | − | 1.20848i | −0.796803 | − | 0.604239i | \(-0.793477\pi\) | ||
0.796803 | − | 0.604239i | \(-0.206523\pi\) | |||||||
\(68\) | −1.23304 | − | 0.846626i | −0.149528 | − | 0.102668i | ||||
\(69\) | −6.32994 | − | 5.04796i | −0.762036 | − | 0.607703i | ||||
\(70\) | 8.25262 | − | 5.42556i | 0.986377 | − | 0.648479i | ||||
\(71\) | 2.19839 | − | 1.75316i | 0.260901 | − | 0.208062i | −0.484299 | − | 0.874902i | \(-0.660925\pi\) |
0.745200 | + | 0.666841i | \(0.232354\pi\) | |||||||
\(72\) | 2.40229 | − | 1.49299i | 0.283113 | − | 0.175950i | ||||
\(73\) | −4.78064 | − | 9.92710i | −0.559532 | − | 1.16188i | −0.968427 | − | 0.249298i | \(-0.919800\pi\) |
0.408895 | − | 0.912581i | \(-0.365914\pi\) | |||||||
\(74\) | 2.69934 | − | 3.64493i | 0.313792 | − | 0.423714i | ||||
\(75\) | −1.22660 | − | 1.53811i | −0.141636 | − | 0.177606i | ||||
\(76\) | −11.2736 | + | 0.807580i | −1.29318 | + | 0.0926358i | ||||
\(77\) | −0.803632 | + | 6.27526i | −0.0915823 | + | 0.715132i | ||||
\(78\) | 6.07604 | + | 1.16000i | 0.687976 | + | 0.131344i | ||||
\(79\) | 6.28692i | 0.707334i | 0.935371 | + | 0.353667i | \(0.115065\pi\) | ||||
−0.935371 | + | 0.353667i | \(0.884935\pi\) | |||||||
\(80\) | 9.85357 | − | 3.79266i | 1.10166 | − | 0.424033i | ||||
\(81\) | 0.623490 | − | 0.781831i | 0.0692766 | − | 0.0868702i | ||||
\(82\) | −16.0135 | + | 4.26260i | −1.76840 | + | 0.470726i | ||||
\(83\) | 5.85990 | − | 2.82198i | 0.643208 | − | 0.309752i | −0.0836967 | − | 0.996491i | \(-0.526673\pi\) |
0.726904 | + | 0.686739i | \(0.240958\pi\) | |||||||
\(84\) | 3.06308 | + | 4.31480i | 0.334210 | + | 0.470783i | ||||
\(85\) | −1.77853 | − | 0.856497i | −0.192909 | − | 0.0929001i | ||||
\(86\) | 13.7693 | + | 2.62875i | 1.48479 | + | 0.283466i | ||||
\(87\) | −1.84774 | − | 0.889825i | −0.198098 | − | 0.0953992i | ||||
\(88\) | −2.26524 | + | 6.37269i | −0.241475 | + | 0.679331i | ||||
\(89\) | 6.43770 | + | 13.3680i | 0.682395 | + | 1.41701i | 0.897765 | + | 0.440476i | \(0.145190\pi\) |
−0.215369 | + | 0.976533i | \(0.569096\pi\) | |||||||
\(90\) | 2.83344 | − | 2.43028i | 0.298671 | − | 0.256174i | ||||
\(91\) | −1.47001 | + | 11.4788i | −0.154099 | + | 1.20330i | ||||
\(92\) | 11.9062 | − | 10.9747i | 1.24130 | − | 1.14419i | ||||
\(93\) | −0.0535407 | − | 0.234577i | −0.00555191 | − | 0.0243245i | ||||
\(94\) | −4.23713 | − | 1.85694i | −0.437026 | − | 0.191528i | ||||
\(95\) | −14.5429 | + | 3.31932i | −1.49207 | + | 0.340555i | ||||
\(96\) | 2.21944 | + | 5.20328i | 0.226521 | + | 0.531057i | ||||
\(97\) | 11.5887i | 1.17665i | 0.808623 | + | 0.588326i | \(0.200213\pi\) | ||||
−0.808623 | + | 0.588326i | \(0.799787\pi\) | |||||||
\(98\) | −7.70620 | + | 6.21405i | −0.778444 | + | 0.627714i | ||||
\(99\) | 2.39120i | 0.240324i | ||||||||
\(100\) | 3.41394 | − | 1.95611i | 0.341394 | − | 0.195611i | ||||
\(101\) | −17.2863 | + | 3.94548i | −1.72005 | + | 0.392590i | −0.964828 | − | 0.262881i | \(-0.915327\pi\) |
−0.755220 | + | 0.655471i | \(0.772470\pi\) | |||||||
\(102\) | 0.424532 | − | 0.968689i | 0.0420349 | − | 0.0959145i | ||||
\(103\) | 0.783993 | + | 3.43490i | 0.0772491 | + | 0.338451i | 0.998753 | − | 0.0499178i | \(-0.0158959\pi\) |
−0.921504 | + | 0.388368i | \(0.873039\pi\) | |||||||
\(104\) | −4.14360 | + | 11.6570i | −0.406314 | + | 1.14306i | ||||
\(105\) | 4.86270 | + | 5.01252i | 0.474551 | + | 0.489172i | ||||
\(106\) | 11.3471 | + | 13.2295i | 1.10213 | + | 1.28497i | ||||
\(107\) | 0.779414 | + | 1.61847i | 0.0753488 | + | 0.156463i | 0.935240 | − | 0.354013i | \(-0.115183\pi\) |
−0.859892 | + | 0.510477i | \(0.829469\pi\) | |||||||
\(108\) | 1.35552 | + | 1.47057i | 0.130435 | + | 0.141505i | ||||
\(109\) | 11.5268 | + | 5.55099i | 1.10406 | + | 0.531689i | 0.894934 | − | 0.446199i | \(-0.147223\pi\) |
0.209129 | + | 0.977888i | \(0.432937\pi\) | |||||||
\(110\) | −1.67388 | + | 8.76777i | −0.159599 | + | 0.835974i | ||||
\(111\) | 2.88956 | + | 1.39154i | 0.274265 | + | 0.132079i | ||||
\(112\) | −9.46191 | + | 4.74049i | −0.894067 | + | 0.447934i | ||||
\(113\) | −6.74224 | + | 3.24689i | −0.634257 | + | 0.305442i | −0.723246 | − | 0.690591i | \(-0.757351\pi\) |
0.0889891 | + | 0.996033i | \(0.471636\pi\) | |||||||
\(114\) | −2.05581 | − | 7.72316i | −0.192545 | − | 0.723341i | ||||
\(115\) | 13.3244 | − | 16.7083i | 1.24251 | − | 1.55806i | ||||
\(116\) | 2.32168 | − | 3.38135i | 0.215563 | − | 0.313950i | ||||
\(117\) | 4.37401i | 0.404377i | ||||||||
\(118\) | −0.438359 | + | 2.29611i | −0.0403542 | + | 0.211374i | ||||
\(119\) | 1.85748 | + | 0.681763i | 0.170275 | + | 0.0624971i | ||||
\(120\) | 3.94084 | + | 6.34101i | 0.359748 | + | 0.578852i | ||||
\(121\) | 3.29339 | + | 4.12978i | 0.299399 | + | 0.375434i | ||||
\(122\) | 1.49535 | + | 1.10742i | 0.135383 | + | 0.100261i | ||||
\(123\) | −5.08405 | − | 10.5571i | −0.458414 | − | 0.951906i | ||||
\(124\) | 0.479989 | − | 0.0343837i | 0.0431043 | − | 0.00308775i | ||||
\(125\) | −6.25854 | + | 4.99102i | −0.559781 | + | 0.446410i | ||||
\(126\) | −2.59073 | + | 2.69965i | −0.230801 | + | 0.240504i | ||||
\(127\) | 1.33618 | + | 1.06557i | 0.118567 | + | 0.0945541i | 0.680978 | − | 0.732304i | \(-0.261555\pi\) |
−0.562411 | + | 0.826858i | \(0.690126\pi\) | |||||||
\(128\) | −10.9612 | + | 2.80227i | −0.968840 | + | 0.247688i | ||||
\(129\) | 9.91224i | 0.872724i | ||||||||
\(130\) | −3.06189 | + | 16.0381i | −0.268546 | + | 1.40664i | ||||
\(131\) | 1.25085 | − | 5.48033i | 0.109287 | − | 0.478819i | −0.890432 | − | 0.455117i | \(-0.849598\pi\) |
0.999719 | − | 0.0237021i | \(-0.00754532\pi\) | |||||||
\(132\) | −4.72661 | − | 0.728321i | −0.411398 | − | 0.0633922i | ||||
\(133\) | 14.1861 | − | 4.72362i | 1.23009 | − | 0.409590i | ||||
\(134\) | 0.500091 | + | 13.9802i | 0.0432013 | + | 1.20771i | ||||
\(135\) | 2.06370 | + | 1.64574i | 0.177615 | + | 0.141643i | ||||
\(136\) | 1.78547 | + | 1.13421i | 0.153103 | + | 0.0972575i | ||||
\(137\) | 3.58829 | − | 15.7213i | 0.306568 | − | 1.34316i | −0.553443 | − | 0.832887i | \(-0.686686\pi\) |
0.860011 | − | 0.510275i | \(-0.170457\pi\) | |||||||
\(138\) | 9.20138 | + | 6.81432i | 0.783273 | + | 0.580073i | ||||
\(139\) | 3.44631 | + | 15.0993i | 0.292312 | + | 1.28070i | 0.881299 | + | 0.472559i | \(0.156670\pi\) |
−0.588987 | + | 0.808142i | \(0.700473\pi\) | |||||||
\(140\) | −11.3892 | + | 8.08522i | −0.962564 | + | 0.683326i | ||||
\(141\) | 0.727910 | − | 3.18918i | 0.0613011 | − | 0.268578i | ||||
\(142\) | −3.01837 | + | 2.58890i | −0.253296 | + | 0.217255i | ||||
\(143\) | −6.52114 | − | 8.17725i | −0.545325 | − | 0.683816i | ||||
\(144\) | −3.31970 | + | 2.23150i | −0.276642 | + | 0.185958i | ||||
\(145\) | 2.34875 | − | 4.87723i | 0.195053 | − | 0.405032i | ||||
\(146\) | 7.25840 | + | 13.7884i | 0.600709 | + | 1.14113i | ||||
\(147\) | −5.33790 | − | 4.52845i | −0.440263 | − | 0.373500i | ||||
\(148\) | −3.63074 | + | 5.28788i | −0.298445 | + | 0.434661i | ||||
\(149\) | 4.58673 | + | 2.20885i | 0.375760 | + | 0.180956i | 0.612225 | − | 0.790684i | \(-0.290275\pi\) |
−0.236465 | + | 0.971640i | \(0.575989\pi\) | |||||||
\(150\) | 1.81133 | + | 2.11182i | 0.147895 | + | 0.172429i | ||||
\(151\) | 10.2339 | − | 8.16124i | 0.832821 | − | 0.664153i | −0.111287 | − | 0.993788i | \(-0.535497\pi\) |
0.944108 | + | 0.329636i | \(0.106926\pi\) | |||||||
\(152\) | 15.8923 | − | 1.71131i | 1.28904 | − | 0.138806i | ||||
\(153\) | 0.729108 | + | 0.166414i | 0.0589449 | + | 0.0134538i | ||||
\(154\) | 0.818529 | − | 8.90951i | 0.0659589 | − | 0.717949i | ||||
\(155\) | 0.619182 | − | 0.141324i | 0.0497339 | − | 0.0113514i | ||||
\(156\) | −8.64597 | − | 1.33225i | −0.692232 | − | 0.106666i | ||||
\(157\) | −3.05369 | − | 0.696985i | −0.243711 | − | 0.0556254i | 0.0989205 | − | 0.995095i | \(-0.468461\pi\) |
−0.342631 | + | 0.939470i | \(0.611318\pi\) | |||||||
\(158\) | −0.317842 | − | 8.88537i | −0.0252861 | − | 0.706882i | ||||
\(159\) | −7.68409 | + | 9.63554i | −0.609388 | + | 0.764148i | ||||
\(160\) | −13.7344 | + | 5.85836i | −1.08580 | + | 0.463144i | ||||
\(161\) | −11.6704 | + | 17.9625i | −0.919755 | + | 1.41565i | ||||
\(162\) | −0.841658 | + | 1.13649i | −0.0661269 | + | 0.0892912i | ||||
\(163\) | 22.9100 | + | 5.22906i | 1.79445 | + | 0.409572i | 0.984279 | − | 0.176619i | \(-0.0565161\pi\) |
0.810173 | + | 0.586191i | \(0.199373\pi\) | |||||||
\(164\) | 22.4165 | − | 6.83396i | 1.75044 | − | 0.533642i | ||||
\(165\) | −6.31172 | −0.491367 | ||||||||
\(166\) | −8.13919 | + | 4.28458i | −0.631723 | + | 0.332548i | ||||
\(167\) | −8.69453 | + | 10.9026i | −0.672803 | + | 0.843668i | −0.994669 | − | 0.103117i | \(-0.967118\pi\) |
0.321866 | + | 0.946785i | \(0.395690\pi\) | |||||||
\(168\) | −4.54723 | − | 5.94329i | −0.350826 | − | 0.458535i | ||||
\(169\) | −3.82319 | − | 4.79413i | −0.294092 | − | 0.368779i | ||||
\(170\) | 2.55692 | + | 1.12058i | 0.196107 | + | 0.0859445i | ||||
\(171\) | 5.09162 | − | 2.45199i | 0.389366 | − | 0.187509i | ||||
\(172\) | −19.5932 | − | 3.01912i | −1.49397 | − | 0.230206i | ||||
\(173\) | −9.60754 | + | 7.66176i | −0.730448 | + | 0.582513i | −0.916504 | − | 0.400026i | \(-0.869001\pi\) |
0.186056 | + | 0.982539i | \(0.440430\pi\) | |||||||
\(174\) | 2.65641 | + | 1.16418i | 0.201382 | + | 0.0882565i | ||||
\(175\) | −3.73593 | + | 3.62426i | −0.282409 | + | 0.273968i | ||||
\(176\) | 2.87930 | − | 9.12111i | 0.217036 | − | 0.687530i | ||||
\(177\) | −1.65292 | −0.124241 | ||||||||
\(178\) | −9.77430 | − | 18.5677i | −0.732615 | − | 1.39171i | ||||
\(179\) | 11.1372 | + | 8.88166i | 0.832437 | + | 0.663846i | 0.944013 | − | 0.329910i | \(-0.107018\pi\) |
−0.111576 | + | 0.993756i | \(0.535590\pi\) | |||||||
\(180\) | −3.88166 | + | 3.57798i | −0.289322 | + | 0.266687i | ||||
\(181\) | 0.495218 | + | 1.02833i | 0.0368093 | + | 0.0764353i | 0.918563 | − | 0.395276i | \(-0.129351\pi\) |
−0.881753 | + | 0.471711i | \(0.843637\pi\) | |||||||
\(182\) | 1.49726 | − | 16.2974i | 0.110985 | − | 1.20804i | ||||
\(183\) | −0.570887 | + | 1.18546i | −0.0422012 | + | 0.0876317i | ||||
\(184\) | −16.2723 | + | 16.1126i | −1.19961 | + | 1.18783i | ||||
\(185\) | −3.67307 | + | 7.62720i | −0.270049 | + | 0.560763i | ||||
\(186\) | 0.0875289 | + | 0.328823i | 0.00641793 | + | 0.0241105i | ||||
\(187\) | −1.61118 | + | 0.775904i | −0.117821 | + | 0.0567397i | ||||
\(188\) | 6.08225 | + | 2.41021i | 0.443594 | + | 0.175783i | ||||
\(189\) | −2.21861 | − | 1.44145i | −0.161380 | − | 0.104850i | ||||
\(190\) | 20.3858 | − | 5.42646i | 1.47894 | − | 0.393677i | ||||
\(191\) | 19.4936 | − | 4.44930i | 1.41051 | − | 0.321940i | 0.551618 | − | 0.834097i | \(-0.314010\pi\) |
0.858892 | + | 0.512157i | \(0.171153\pi\) | |||||||
\(192\) | −3.39981 | − | 7.24163i | −0.245360 | − | 0.522620i | ||||
\(193\) | −2.19666 | − | 9.62418i | −0.158119 | − | 0.692764i | −0.990379 | − | 0.138379i | \(-0.955811\pi\) |
0.832260 | − | 0.554385i | \(-0.187046\pi\) | |||||||
\(194\) | −0.585878 | − | 16.3784i | −0.0420636 | − | 1.17590i | ||||
\(195\) | −11.5455 | −0.826789 | ||||||||
\(196\) | 10.5771 | − | 9.17198i | 0.755506 | − | 0.655141i | ||||
\(197\) | 0.917043 | 0.0653366 | 0.0326683 | − | 0.999466i | \(-0.489600\pi\) | ||||
0.0326683 | + | 0.999466i | \(0.489600\pi\) | |||||||
\(198\) | −0.120889 | − | 3.37950i | −0.00859123 | − | 0.240171i | ||||
\(199\) | −0.119882 | − | 0.525237i | −0.00849821 | − | 0.0372331i | 0.970501 | − | 0.241097i | \(-0.0775072\pi\) |
−0.978999 | + | 0.203864i | \(0.934650\pi\) | |||||||
\(200\) | −4.72607 | + | 2.93718i | −0.334183 | + | 0.207690i | ||||
\(201\) | −9.64381 | + | 2.20114i | −0.680222 | + | 0.155256i | ||||
\(202\) | 24.2314 | − | 6.45011i | 1.70491 | − | 0.453828i | ||||
\(203\) | −1.86958 | + | 5.09374i | −0.131219 | + | 0.357510i | ||||
\(204\) | −0.551021 | + | 1.39052i | −0.0385792 | + | 0.0973559i | ||||
\(205\) | 27.8663 | − | 13.4197i | 1.94627 | − | 0.937273i | ||||
\(206\) | −1.28168 | − | 4.81494i | −0.0892989 | − | 0.335473i | ||||
\(207\) | −3.51285 | + | 7.29452i | −0.244160 | + | 0.507004i | ||||
\(208\) | 5.26686 | − | 16.6845i | 0.365191 | − | 1.15686i | ||||
\(209\) | −5.86319 | + | 12.1750i | −0.405566 | + | 0.842166i | ||||
\(210\) | −7.12591 | − | 6.83841i | −0.491735 | − | 0.471895i | ||||
\(211\) | 9.04895 | + | 18.7903i | 0.622955 | + | 1.29358i | 0.938700 | + | 0.344736i | \(0.112032\pi\) |
−0.315744 | + | 0.948844i | \(0.602254\pi\) | |||||||
\(212\) | −16.7058 | − | 18.1238i | −1.14736 | − | 1.24474i | ||||
\(213\) | −2.19839 | − | 1.75316i | −0.150631 | − | 0.120124i | ||||
\(214\) | −1.18338 | − | 2.24799i | −0.0808939 | − | 0.153670i | ||||
\(215\) | −26.1640 | −1.78437 | ||||||||
\(216\) | −1.99011 | − | 2.00984i | −0.135410 | − | 0.136752i | ||||
\(217\) | −0.603990 | + | 0.201114i | −0.0410015 | + | 0.0136525i | ||||
\(218\) | −16.5715 | − | 7.26252i | −1.12236 | − | 0.491880i | ||||
\(219\) | −8.61442 | + | 6.86977i | −0.582108 | + | 0.464216i | ||||
\(220\) | 1.92245 | − | 12.4762i | 0.129612 | − | 0.841145i | ||||
\(221\) | −2.94719 | + | 1.41929i | −0.198250 | + | 0.0954720i | ||||
\(222\) | −4.15420 | − | 1.82059i | −0.278812 | − | 0.122190i | ||||
\(223\) | 8.22903 | + | 10.3189i | 0.551057 | + | 0.691003i | 0.976876 | − | 0.213805i | \(-0.0685856\pi\) |
−0.425820 | + | 0.904808i | \(0.640014\pi\) | |||||||
\(224\) | 13.1330 | − | 7.17813i | 0.877482 | − | 0.479609i | ||||
\(225\) | −1.22660 | + | 1.53811i | −0.0817735 | + | 0.102541i | ||||
\(226\) | 9.36472 | − | 4.92972i | 0.622932 | − | 0.327920i | ||||
\(227\) | 20.4246 | 1.35563 | 0.677814 | − | 0.735233i | \(-0.262927\pi\) | ||||
0.677814 | + | 0.735233i | \(0.262927\pi\) | |||||||
\(228\) | 3.29595 | + | 10.8113i | 0.218280 | + | 0.715995i | ||||
\(229\) | 0.219924 | + | 0.0501962i | 0.0145330 | + | 0.00331706i | 0.229781 | − | 0.973242i | \(-0.426199\pi\) |
−0.215248 | + | 0.976559i | \(0.569056\pi\) | |||||||
\(230\) | −17.9869 | + | 24.2877i | −1.18602 | + | 1.60148i | ||||
\(231\) | 6.29675 | − | 0.612894i | 0.414296 | − | 0.0403254i | ||||
\(232\) | −3.11031 | + | 4.89626i | −0.204202 | + | 0.321456i | ||||
\(233\) | −0.802049 | + | 1.00574i | −0.0525440 | + | 0.0658881i | −0.807409 | − | 0.589992i | \(-0.799131\pi\) |
0.754865 | + | 0.655880i | \(0.227702\pi\) | |||||||
\(234\) | −0.221132 | − | 6.18182i | −0.0144559 | − | 0.404118i | ||||
\(235\) | 8.41806 | + | 1.92137i | 0.549134 | + | 0.125336i | ||||
\(236\) | 0.503454 | − | 3.26728i | 0.0327721 | − | 0.212682i | ||||
\(237\) | 6.12929 | − | 1.39897i | 0.398140 | − | 0.0908730i | ||||
\(238\) | −2.65967 | − | 0.869635i | −0.172401 | − | 0.0563700i | ||||
\(239\) | 10.2200 | + | 2.33264i | 0.661075 | + | 0.150886i | 0.539879 | − | 0.841743i | \(-0.318470\pi\) |
0.121196 | + | 0.992629i | \(0.461327\pi\) | |||||||
\(240\) | −5.89020 | − | 8.76257i | −0.380211 | − | 0.565622i | ||||
\(241\) | −10.4940 | + | 8.36870i | −0.675979 | + | 0.539076i | −0.900208 | − | 0.435461i | \(-0.856585\pi\) |
0.224228 | + | 0.974537i | \(0.428014\pi\) | |||||||
\(242\) | −4.86336 | − | 5.67015i | −0.312629 | − | 0.364491i | ||||
\(243\) | −0.900969 | − | 0.433884i | −0.0577972 | − | 0.0278337i | ||||
\(244\) | −2.16938 | − | 1.48953i | −0.138880 | − | 0.0953574i | ||||
\(245\) | 11.9531 | − | 14.0898i | 0.763658 | − | 0.900161i | ||||
\(246\) | 7.71907 | + | 14.6635i | 0.492150 | + | 0.934910i | ||||
\(247\) | −10.7250 | + | 22.2708i | −0.682417 | + | 1.41705i | ||||
\(248\) | −0.676635 | + | 0.0728612i | −0.0429664 | + | 0.00462669i | ||||
\(249\) | −4.05518 | − | 5.08503i | −0.256986 | − | 0.322251i | ||||
\(250\) | 8.59292 | − | 7.37026i | 0.543464 | − | 0.466136i | ||||
\(251\) | 1.82478 | − | 7.99488i | 0.115179 | − | 0.504632i | −0.884122 | − | 0.467256i | \(-0.845243\pi\) |
0.999301 | − | 0.0373765i | \(-0.0119001\pi\) | |||||||
\(252\) | 3.52502 | − | 3.94642i | 0.222055 | − | 0.248601i | ||||
\(253\) | −4.30797 | − | 18.8744i | −0.270840 | − | 1.18663i | ||||
\(254\) | −1.94231 | − | 1.43843i | −0.121871 | − | 0.0902550i | ||||
\(255\) | −0.439262 | + | 1.92453i | −0.0275076 | + | 0.120519i | ||||
\(256\) | 15.3499 | − | 4.51462i | 0.959366 | − | 0.282164i | ||||
\(257\) | 21.3595 | + | 17.0336i | 1.33237 | + | 1.06253i | 0.992525 | + | 0.122045i | \(0.0389451\pi\) |
0.339842 | + | 0.940482i | \(0.389626\pi\) | |||||||
\(258\) | −0.501123 | − | 14.0091i | −0.0311986 | − | 0.872166i | ||||
\(259\) | 2.92372 | − | 7.96578i | 0.181671 | − | 0.494969i | ||||
\(260\) | 3.51658 | − | 22.8216i | 0.218089 | − | 1.41534i | ||||
\(261\) | −0.456354 | + | 1.99942i | −0.0282476 | + | 0.123761i | ||||
\(262\) | −1.49077 | + | 7.80864i | −0.0921004 | + | 0.482420i | ||||
\(263\) | 10.8080i | 0.666449i | 0.942848 | + | 0.333224i | \(0.108137\pi\) | ||||
−0.942848 | + | 0.333224i | \(0.891863\pi\) | |||||||
\(264\) | 6.71698 | + | 0.790385i | 0.413402 | + | 0.0486449i | ||||
\(265\) | −25.4337 | − | 20.2827i | −1.56238 | − | 1.24595i | ||||
\(266\) | −19.8105 | + | 7.39313i | −1.21466 | + | 0.453302i | ||||
\(267\) | 11.6003 | − | 9.25096i | 0.709929 | − | 0.566150i | ||||
\(268\) | −1.41357 | − | 19.7331i | −0.0863473 | − | 1.20539i | ||||
\(269\) | −2.63026 | − | 5.46178i | −0.160369 | − | 0.333011i | 0.805265 | − | 0.592915i | \(-0.202023\pi\) |
−0.965634 | + | 0.259905i | \(0.916309\pi\) | |||||||
\(270\) | −2.99985 | − | 2.22161i | −0.182565 | − | 0.135203i | ||||
\(271\) | 4.14757 | + | 5.20089i | 0.251947 | + | 0.315932i | 0.891681 | − | 0.452665i | \(-0.149527\pi\) |
−0.639733 | + | 0.768597i | \(0.720955\pi\) | |||||||
\(272\) | −2.58077 | − | 1.51272i | −0.156482 | − | 0.0917221i | ||||
\(273\) | 11.5181 | − | 1.12111i | 0.697107 | − | 0.0678528i | ||||
\(274\) | −4.27655 | + | 22.4005i | −0.258356 | + | 1.35326i | ||||
\(275\) | − | 4.70424i | − | 0.283677i | ||||||
\(276\) | −13.3489 | − | 9.16555i | −0.803509 | − | 0.551702i | ||||
\(277\) | −17.5646 | + | 22.0253i | −1.05536 | + | 1.32337i | −0.111227 | + | 0.993795i | \(0.535478\pi\) |
−0.944128 | + | 0.329579i | \(0.893093\pi\) | |||||||
\(278\) | −5.63405 | − | 21.1657i | −0.337908 | − | 1.26943i | ||||
\(279\) | −0.216782 | + | 0.104397i | −0.0129784 | + | 0.00625006i | ||||
\(280\) | 15.6877 | − | 12.0027i | 0.937521 | − | 0.717299i | ||||
\(281\) | −3.15435 | − | 1.51906i | −0.188173 | − | 0.0906192i | 0.337425 | − | 0.941352i | \(-0.390444\pi\) |
−0.525598 | + | 0.850733i | \(0.676158\pi\) | |||||||
\(282\) | −0.867530 | + | 4.54410i | −0.0516606 | + | 0.270597i | ||||
\(283\) | −17.1181 | − | 8.24363i | −1.01756 | − | 0.490033i | −0.150701 | − | 0.988579i | \(-0.548153\pi\) |
−0.866863 | + | 0.498547i | \(0.833867\pi\) | |||||||
\(284\) | 4.13501 | − | 3.81151i | 0.245368 | − | 0.226172i | ||||
\(285\) | 6.47220 | + | 13.4397i | 0.383380 | + | 0.796097i | ||||
\(286\) | 9.62980 | + | 11.2273i | 0.569422 | + | 0.663885i | ||||
\(287\) | −26.4971 | + | 16.0938i | −1.56407 | + | 0.949987i | ||||
\(288\) | 4.57895 | − | 3.32163i | 0.269817 | − | 0.195729i | ||||
\(289\) | −3.65840 | − | 16.0285i | −0.215200 | − | 0.942853i | ||||
\(290\) | −3.07294 | + | 7.01179i | −0.180449 | + | 0.411746i | ||||
\(291\) | 11.2981 | − | 2.57873i | 0.662308 | − | 0.151168i | ||||
\(292\) | −10.9555 | − | 19.1203i | −0.641119 | − | 1.11893i | ||||
\(293\) | − | 17.5315i | − | 1.02420i | −0.858925 | − | 0.512101i | \(-0.828867\pi\) | ||
0.858925 | − | 0.512101i | \(-0.171133\pi\) | |||||||
\(294\) | 7.77305 | + | 6.13023i | 0.453333 | + | 0.357522i | ||||
\(295\) | − | 4.36299i | − | 0.254023i | ||||||
\(296\) | 4.86402 | − | 7.65696i | 0.282715 | − | 0.445052i | ||||
\(297\) | 2.33124 | − | 0.532091i | 0.135272 | − | 0.0308751i | ||||
\(298\) | −6.59414 | − | 2.88991i | −0.381988 | − | 0.167408i | ||||
\(299\) | −7.88019 | − | 34.5254i | −0.455723 | − | 1.99665i | ||||
\(300\) | −2.66674 | − | 2.89308i | −0.153964 | − | 0.167032i | ||||
\(301\) | 26.1020 | − | 2.54063i | 1.50449 | − | 0.146440i | ||||
\(302\) | −14.0510 | + | 12.0517i | −0.808546 | + | 0.693500i | ||||
\(303\) | 7.69312 | + | 15.9749i | 0.441958 | + | 0.917735i | ||||
\(304\) | −22.3743 | + | 3.22207i | −1.28325 | + | 0.184798i | ||||
\(305\) | −3.12910 | − | 1.50690i | −0.179172 | − | 0.0862846i | ||||
\(306\) | −1.03887 | − | 0.198334i | −0.0593882 | − | 0.0113380i | ||||
\(307\) | 19.0864 | + | 9.19152i | 1.08932 | + | 0.524588i | 0.890284 | − | 0.455405i | \(-0.150506\pi\) |
0.199033 | + | 0.979993i | \(0.436220\pi\) | |||||||
\(308\) | −0.706405 | + | 12.6333i | −0.0402512 | + | 0.719848i | ||||
\(309\) | 3.17432 | − | 1.52867i | 0.180581 | − | 0.0869632i | ||||
\(310\) | −0.867951 | + | 0.231038i | −0.0492963 | + | 0.0131221i | ||||
\(311\) | −13.1192 | + | 16.4510i | −0.743922 | + | 0.932848i | −0.999423 | − | 0.0339604i | \(-0.989188\pi\) |
0.255502 | + | 0.966809i | \(0.417759\pi\) | |||||||
\(312\) | 12.2868 | + | 1.44578i | 0.695602 | + | 0.0818513i | ||||
\(313\) | 17.9475i | 1.01445i | 0.861812 | + | 0.507227i | \(0.169330\pi\) | ||||
−0.861812 | + | 0.507227i | \(0.830670\pi\) | |||||||
\(314\) | 4.35105 | + | 0.830673i | 0.245544 | + | 0.0468776i | ||||
\(315\) | 3.80480 | − | 5.85617i | 0.214376 | − | 0.329958i | ||||
\(316\) | 0.898417 | + | 12.5417i | 0.0505399 | + | 0.705526i | ||||
\(317\) | 9.83533 | + | 12.3331i | 0.552407 | + | 0.692697i | 0.977134 | − | 0.212625i | \(-0.0682012\pi\) |
−0.424727 | + | 0.905322i | \(0.639630\pi\) | |||||||
\(318\) | 10.3729 | − | 14.0065i | 0.581681 | − | 0.785444i | ||||
\(319\) | −2.12774 | − | 4.41831i | −0.119131 | − | 0.247378i | ||||
\(320\) | 19.1148 | − | 8.97404i | 1.06855 | − | 0.501664i | ||||
\(321\) | 1.40446 | − | 1.12002i | 0.0783890 | − | 0.0625132i | ||||
\(322\) | 15.5858 | − | 25.9766i | 0.868560 | − | 1.44762i | ||||
\(323\) | 3.30429 | + | 2.63509i | 0.183856 | + | 0.146620i | ||||
\(324\) | 1.13207 | − | 1.64876i | 0.0628926 | − | 0.0915980i | ||||
\(325\) | − | 8.60506i | − | 0.477323i | ||||||
\(326\) | −32.6433 | − | 6.23205i | −1.80795 | − | 0.345161i | ||||
\(327\) | 2.84687 | − | 12.4730i | 0.157432 | − | 0.689757i | ||||
\(328\) | −31.3360 | + | 10.7918i | −1.73024 | + | 0.595877i | ||||
\(329\) | −8.58467 | − | 1.09938i | −0.473288 | − | 0.0606109i | ||||
\(330\) | 8.92042 | − | 0.319095i | 0.491053 | − | 0.0175656i | ||||
\(331\) | −21.4744 | − | 17.1252i | −1.18034 | − | 0.941288i | −0.181227 | − | 0.983441i | \(-0.558007\pi\) |
−0.999111 | + | 0.0421528i | \(0.986578\pi\) | |||||||
\(332\) | 11.2866 | − | 6.46693i | 0.619431 | − | 0.354919i | ||||
\(333\) | 0.713664 | − | 3.12676i | 0.0391085 | − | 0.171346i | ||||
\(334\) | 11.7369 | − | 15.8483i | 0.642213 | − | 0.867181i | ||||
\(335\) | −5.81005 | − | 25.4555i | −0.317437 | − | 1.39078i | ||||
\(336\) | 6.72711 | + | 8.16982i | 0.366994 | + | 0.445700i | ||||
\(337\) | 4.97482 | − | 21.7961i | 0.270996 | − | 1.18731i | −0.637845 | − | 0.770165i | \(-0.720174\pi\) |
0.908840 | − | 0.417144i | \(-0.136969\pi\) | |||||||
\(338\) | 5.64572 | + | 6.58230i | 0.307087 | + | 0.358030i | ||||
\(339\) | 4.66578 | + | 5.85070i | 0.253410 | + | 0.317766i | ||||
\(340\) | −3.67037 | − | 1.45446i | −0.199054 | − | 0.0788791i | ||||
\(341\) | 0.249633 | − | 0.518368i | 0.0135184 | − | 0.0280712i | ||||
\(342\) | −7.07207 | + | 3.72284i | −0.382414 | + | 0.201308i | ||||
\(343\) | −10.5566 | + | 15.2170i | −0.570004 | + | 0.821642i | ||||
\(344\) | 27.8440 | + | 3.27639i | 1.50125 | + | 0.176651i | ||||
\(345\) | −19.2544 | − | 9.27242i | −1.03662 | − | 0.499210i | ||||
\(346\) | 13.1911 | − | 11.3142i | 0.709157 | − | 0.608253i | ||||
\(347\) | −7.49948 | + | 5.98063i | −0.402593 | + | 0.321057i | −0.803766 | − | 0.594945i | \(-0.797174\pi\) |
0.401174 | + | 0.916002i | \(0.368602\pi\) | |||||||
\(348\) | −3.81319 | − | 1.51105i | −0.204409 | − | 0.0810010i | ||||
\(349\) | −14.1748 | − | 3.23530i | −0.758758 | − | 0.173182i | −0.174397 | − | 0.984675i | \(-0.555798\pi\) |
−0.584361 | + | 0.811494i | \(0.698655\pi\) | |||||||
\(350\) | 5.09679 | − | 5.31107i | 0.272435 | − | 0.283889i | ||||
\(351\) | 4.26434 | − | 0.973308i | 0.227614 | − | 0.0519513i | ||||
\(352\) | −3.60822 | + | 13.0365i | −0.192319 | + | 0.694849i | ||||
\(353\) | 26.2175 | + | 5.98397i | 1.39542 | + | 0.318494i | 0.853129 | − | 0.521700i | \(-0.174702\pi\) |
0.542286 | + | 0.840194i | \(0.317559\pi\) | |||||||
\(354\) | 2.33609 | − | 0.0835650i | 0.124162 | − | 0.00444143i | ||||
\(355\) | 4.62758 | − | 5.80280i | 0.245607 | − | 0.307981i | ||||
\(356\) | 14.7528 | + | 25.7478i | 0.781898 | + | 1.36463i | ||||
\(357\) | 0.251340 | − | 1.96262i | 0.0133023 | − | 0.103873i | ||||
\(358\) | −16.1894 | − | 11.9895i | −0.855636 | − | 0.633664i | ||||
\(359\) | −6.70228 | − | 1.52975i | −0.353733 | − | 0.0807372i | 0.0419622 | − | 0.999119i | \(-0.486639\pi\) |
−0.395695 | + | 0.918382i | \(0.629496\pi\) | |||||||
\(360\) | 5.30510 | − | 5.25304i | 0.279604 | − | 0.276859i | ||||
\(361\) | 12.9368 | 0.680885 | ||||||||
\(362\) | −0.751885 | − | 1.42831i | −0.0395182 | − | 0.0750705i | ||||
\(363\) | 3.29339 | − | 4.12978i | 0.172858 | − | 0.216757i | ||||
\(364\) | −1.29216 | + | 23.1090i | −0.0677278 | + | 1.21124i | ||||
\(365\) | −18.1332 | − | 22.7383i | −0.949136 | − | 1.19018i | ||||
\(366\) | 0.746909 | − | 1.70428i | 0.0390415 | − | 0.0890843i | ||||
\(367\) | −20.4900 | + | 9.86746i | −1.06957 | + | 0.515077i | −0.883968 | − | 0.467548i | \(-0.845138\pi\) |
−0.185602 | + | 0.982625i | \(0.559423\pi\) | |||||||
\(368\) | 22.1832 | − | 23.5947i | 1.15638 | − | 1.22996i | ||||
\(369\) | −9.16115 | + | 7.30577i | −0.476910 | + | 0.380323i | ||||
\(370\) | 4.80558 | − | 10.9653i | 0.249830 | − | 0.570058i | ||||
\(371\) | 27.3429 | + | 17.7648i | 1.41957 | + | 0.922305i | ||||
\(372\) | −0.140329 | − | 0.460304i | −0.00727574 | − | 0.0238657i | ||||
\(373\) | 18.8643 | 0.976754 | 0.488377 | − | 0.872633i | \(-0.337589\pi\) | ||||
0.488377 | + | 0.872633i | \(0.337589\pi\) | |||||||
\(374\) | 2.23787 | − | 1.17805i | 0.115718 | − | 0.0609154i | ||||
\(375\) | 6.25854 | + | 4.99102i | 0.323189 | + | 0.257735i | ||||
\(376\) | −8.71796 | − | 3.09888i | −0.449594 | − | 0.159813i | ||||
\(377\) | −3.89210 | − | 8.08202i | −0.200453 | − | 0.416245i | ||||
\(378\) | 3.20846 | + | 1.92505i | 0.165025 | + | 0.0990137i | ||||
\(379\) | 12.1250 | − | 25.1779i | 0.622822 | − | 1.29330i | −0.315954 | − | 0.948774i | \(-0.602325\pi\) |
0.938776 | − | 0.344528i | \(-0.111961\pi\) | |||||||
\(380\) | −28.5371 | + | 8.69990i | −1.46392 | + | 0.446295i | ||||
\(381\) | 0.741525 | − | 1.53979i | 0.0379895 | − | 0.0788860i | ||||
\(382\) | −27.3256 | + | 7.27375i | −1.39810 | + | 0.372158i | ||||
\(383\) | −2.49312 | + | 1.20062i | −0.127392 | + | 0.0613490i | −0.496494 | − | 0.868040i | \(-0.665380\pi\) |
0.369102 | + | 0.929389i | \(0.379665\pi\) | |||||||
\(384\) | 5.17110 | + | 10.0628i | 0.263886 | + | 0.513515i | ||||
\(385\) | 1.61777 | + | 16.6207i | 0.0824494 | + | 0.847069i | ||||
\(386\) | 3.59112 | + | 13.4909i | 0.182783 | + | 0.686669i | ||||
\(387\) | 9.66372 | − | 2.20568i | 0.491235 | − | 0.112121i | ||||
\(388\) | 1.65605 | + | 23.1181i | 0.0840734 | + | 1.17365i | ||||
\(389\) | −5.62109 | − | 24.6276i | −0.285001 | − | 1.24867i | −0.891293 | − | 0.453428i | \(-0.850201\pi\) |
0.606292 | − | 0.795242i | \(-0.292656\pi\) | |||||||
\(390\) | 16.3173 | − | 0.583693i | 0.826261 | − | 0.0295565i | ||||
\(391\) | −6.05489 | −0.306209 | ||||||||
\(392\) | −14.4850 | + | 13.4976i | −0.731603 | + | 0.681731i | ||||
\(393\) | −5.62127 | −0.283555 | ||||||||
\(394\) | −1.29607 | + | 0.0463621i | −0.0652949 | + | 0.00233569i | ||||
\(395\) | 3.69268 | + | 16.1787i | 0.185799 | + | 0.814038i | ||||
\(396\) | 0.341708 | + | 4.77017i | 0.0171715 | + | 0.239710i | ||||
\(397\) | −19.6796 | + | 4.49173i | −0.987689 | + | 0.225434i | −0.685705 | − | 0.727879i | \(-0.740506\pi\) |
−0.301984 | + | 0.953313i | \(0.597649\pi\) | |||||||
\(398\) | 0.195984 | + | 0.736262i | 0.00982380 | + | 0.0369055i | ||||
\(399\) | −7.76189 | − | 12.7793i | −0.388581 | − | 0.639766i | ||||
\(400\) | 6.53091 | − | 4.39007i | 0.326545 | − | 0.219504i | ||||
\(401\) | 14.8375 | − | 7.14538i | 0.740951 | − | 0.356823i | −0.0250300 | − | 0.999687i | \(-0.507968\pi\) |
0.765981 | + | 0.642864i | \(0.222254\pi\) | |||||||
\(402\) | 13.5184 | − | 3.59844i | 0.674237 | − | 0.179474i | ||||
\(403\) | 0.456631 | − | 0.948205i | 0.0227464 | − | 0.0472335i | ||||
\(404\) | −33.9204 | + | 10.3410i | −1.68760 | + | 0.514486i | ||||
\(405\) | 1.14527 | − | 2.37817i | 0.0569087 | − | 0.118172i | ||||
\(406\) | 2.38478 | − | 7.29355i | 0.118355 | − | 0.361973i | ||||
\(407\) | 3.32745 | + | 6.90951i | 0.164935 | + | 0.342492i | ||||
\(408\) | 0.708465 | − | 1.99309i | 0.0350742 | − | 0.0986728i | ||||
\(409\) | 10.5952 | + | 8.44939i | 0.523899 | + | 0.417795i | 0.849403 | − | 0.527745i | \(-0.176962\pi\) |
−0.325504 | + | 0.945541i | \(0.605534\pi\) | |||||||
\(410\) | −38.7053 | + | 20.3750i | −1.91152 | + | 1.00625i | ||||
\(411\) | −16.1256 | −0.795418 | ||||||||
\(412\) | 2.05483 | + | 6.74020i | 0.101234 | + | 0.332066i | ||||
\(413\) | 0.423664 | + | 4.35265i | 0.0208472 | + | 0.214180i | ||||
\(414\) | 4.59597 | − | 10.4870i | 0.225880 | − | 0.515408i | ||||
\(415\) | 13.4223 | − | 10.7039i | 0.658874 | − | 0.525434i | ||||
\(416\) | −6.60020 | + | 23.8466i | −0.323602 | + | 1.16917i | ||||
\(417\) | 13.9538 | − | 6.71980i | 0.683321 | − | 0.329070i | ||||
\(418\) | 7.67099 | − | 17.5035i | 0.375200 | − | 0.856126i | ||||
\(419\) | −20.1801 | − | 25.3051i | −0.985863 | − | 1.23623i | −0.971672 | − | 0.236334i | \(-0.924054\pi\) |
−0.0141917 | − | 0.999899i | \(-0.504518\pi\) | |||||||
\(420\) | 10.4168 | + | 9.30453i | 0.508290 | + | 0.454015i | ||||
\(421\) | −23.6613 | + | 29.6704i | −1.15318 | + | 1.44604i | −0.279103 | + | 0.960261i | \(0.590037\pi\) |
−0.874079 | + | 0.485783i | \(0.838534\pi\) | |||||||
\(422\) | −13.7389 | − | 26.0991i | −0.668801 | − | 1.27048i | ||||
\(423\) | −3.27120 | −0.159051 | ||||||||
\(424\) | 24.5268 | + | 24.7699i | 1.19113 | + | 1.20293i | ||||
\(425\) | −1.43439 | − | 0.327390i | −0.0695781 | − | 0.0158807i | ||||
\(426\) | 3.19564 | + | 2.36661i | 0.154829 | + | 0.114663i | ||||
\(427\) | 3.26801 | + | 1.19947i | 0.158150 | + | 0.0580466i | ||||
\(428\) | 1.78613 | + | 3.11729i | 0.0863357 | + | 0.150680i | ||||
\(429\) | −6.52114 | + | 8.17725i | −0.314844 | + | 0.394802i | ||||
\(430\) | 36.9779 | − | 1.32275i | 1.78323 | − | 0.0637886i | ||||
\(431\) | 3.22583 | + | 0.736274i | 0.155383 | + | 0.0354651i | 0.299505 | − | 0.954095i | \(-0.403179\pi\) |
−0.144122 | + | 0.989560i | \(0.546036\pi\) | |||||||
\(432\) | 2.91426 | + | 2.73991i | 0.140212 | + | 0.131824i | ||||
\(433\) | −9.73502 | + | 2.22196i | −0.467835 | + | 0.106780i | −0.449939 | − | 0.893059i | \(-0.648554\pi\) |
−0.0178968 | + | 0.999840i | \(0.505697\pi\) | |||||||
\(434\) | 0.843458 | − | 0.314772i | 0.0404873 | − | 0.0151095i | ||||
\(435\) | −5.27760 | − | 1.20458i | −0.253041 | − | 0.0577551i | ||||
\(436\) | 23.7878 | + | 9.42640i | 1.13923 | + | 0.451443i | ||||
\(437\) | −35.7722 | + | 28.5274i | −1.71122 | + | 1.36465i | ||||
\(438\) | 11.8275 | − | 10.1446i | 0.565141 | − | 0.484729i | ||||
\(439\) | 1.78933 | + | 0.861694i | 0.0853999 | + | 0.0411264i | 0.476096 | − | 0.879393i | \(-0.342051\pi\) |
−0.390696 | + | 0.920520i | \(0.627766\pi\) | |||||||
\(440\) | −2.08628 | + | 17.7299i | −0.0994593 | + | 0.845241i | ||||
\(441\) | −3.22711 | + | 6.21174i | −0.153672 | + | 0.295797i | ||||
\(442\) | 4.09354 | − | 2.15490i | 0.194710 | − | 0.102498i | ||||
\(443\) | −0.971121 | + | 2.01655i | −0.0461394 | + | 0.0958094i | −0.922764 | − | 0.385365i | \(-0.874075\pi\) |
0.876625 | + | 0.481175i | \(0.159790\pi\) | |||||||
\(444\) | 5.96321 | + | 2.36304i | 0.283002 | + | 0.112145i | ||||
\(445\) | 24.4185 | + | 30.6199i | 1.15755 | + | 1.45152i | ||||
\(446\) | −12.1519 | − | 14.1677i | −0.575407 | − | 0.670862i | ||||
\(447\) | 1.13283 | − | 4.96325i | 0.0535810 | − | 0.234754i | ||||
\(448\) | −18.1980 | + | 10.8089i | −0.859776 | + | 0.510671i | ||||
\(449\) | 5.83434 | + | 25.5619i | 0.275340 | + | 1.20634i | 0.903613 | + | 0.428349i | \(0.140905\pi\) |
−0.628274 | + | 0.777992i | \(0.716238\pi\) | |||||||
\(450\) | 1.65581 | − | 2.23584i | 0.0780556 | − | 0.105399i | ||||
\(451\) | 6.23480 | − | 27.3165i | 0.293585 | − | 1.28628i | ||||
\(452\) | −12.9860 | + | 7.44067i | −0.610811 | + | 0.349980i | ||||
\(453\) | −10.2339 | − | 8.16124i | −0.480829 | − | 0.383449i | ||||
\(454\) | −28.8663 | + | 1.03259i | −1.35476 | + | 0.0484617i | ||||
\(455\) | 2.95925 | + | 30.4028i | 0.138732 | + | 1.42531i | ||||
\(456\) | −5.20478 | − | 15.1131i | −0.243736 | − | 0.707734i | ||||
\(457\) | 7.06795 | − | 30.9667i | 0.330625 | − | 1.44856i | −0.487299 | − | 0.873235i | \(-0.662018\pi\) |
0.817924 | − | 0.575326i | \(-0.195125\pi\) | |||||||
\(458\) | −0.313359 | − | 0.0598243i | −0.0146423 | − | 0.00279541i | ||||
\(459\) | − | 0.747859i | − | 0.0349071i | ||||||
\(460\) | 24.1931 | − | 35.2353i | 1.12801 | − | 1.64286i | ||||
\(461\) | −3.31009 | − | 2.63971i | −0.154166 | − | 0.122944i | 0.543369 | − | 0.839494i | \(-0.317149\pi\) |
−0.697535 | + | 0.716550i | \(0.745720\pi\) | |||||||
\(462\) | −8.86827 | + | 1.18455i | −0.412589 | + | 0.0551101i | ||||
\(463\) | −14.6687 | + | 11.6979i | −0.681712 | + | 0.543647i | −0.901972 | − | 0.431794i | \(-0.857881\pi\) |
0.220261 | + | 0.975441i | \(0.429309\pi\) | |||||||
\(464\) | 4.14830 | − | 7.07718i | 0.192580 | − | 0.328550i | ||||
\(465\) | −0.275562 | − | 0.572210i | −0.0127789 | − | 0.0265356i | ||||
\(466\) | 1.08270 | − | 1.46197i | 0.0501550 | − | 0.0677243i | ||||
\(467\) | 3.58845 | + | 4.49977i | 0.166054 | + | 0.208225i | 0.857895 | − | 0.513825i | \(-0.171772\pi\) |
−0.691842 | + | 0.722049i | \(0.743200\pi\) | |||||||
\(468\) | 0.625057 | + | 8.72565i | 0.0288933 | + | 0.403343i | ||||
\(469\) | 8.26810 | + | 24.8309i | 0.381785 | + | 1.14659i | ||||
\(470\) | −11.9945 | − | 2.28990i | −0.553263 | − | 0.105625i | ||||
\(471\) | 3.13222i | 0.144325i | ||||||||
\(472\) | −0.546356 | + | 4.64313i | −0.0251481 | + | 0.213717i | ||||
\(473\) | −14.7780 | + | 18.5311i | −0.679494 | + | 0.852059i | ||||
\(474\) | −8.59186 | + | 2.28705i | −0.394637 | + | 0.105048i | ||||
\(475\) | −10.0168 | + | 4.82385i | −0.459604 | + | 0.221333i | ||||
\(476\) | 3.80290 | + | 1.09460i | 0.174306 | + | 0.0501709i | ||||
\(477\) | 11.1038 | + | 5.34732i | 0.508409 | + | 0.244837i | ||||
\(478\) | −14.5619 | − | 2.78006i | −0.666046 | − | 0.127157i | ||||
\(479\) | −16.9367 | − | 8.15627i | −0.773856 | − | 0.372669i | 0.00490686 | − | 0.999988i | \(-0.498438\pi\) |
−0.778763 | + | 0.627319i | \(0.784152\pi\) | |||||||
\(480\) | 8.76767 | + | 12.0864i | 0.400188 | + | 0.551668i | ||||
\(481\) | 6.08661 | + | 12.6390i | 0.277525 | + | 0.576287i | ||||
\(482\) | 14.4082 | − | 12.3581i | 0.656276 | − | 0.562896i | ||||
\(483\) | 20.1091 | + | 7.38074i | 0.914995 | + | 0.335836i | ||||
\(484\) | 7.16010 | + | 7.76781i | 0.325459 | + | 0.353082i | ||||
\(485\) | 6.80672 | + | 29.8222i | 0.309077 | + | 1.35416i | ||||
\(486\) | 1.29528 | + | 0.567663i | 0.0587552 | + | 0.0257497i | ||||
\(487\) | 17.0498 | − | 3.89151i | 0.772601 | − | 0.176341i | 0.181993 | − | 0.983300i | \(-0.441745\pi\) |
0.590608 | + | 0.806959i | \(0.298888\pi\) | |||||||
\(488\) | 3.14131 | + | 1.99549i | 0.142200 | + | 0.0903316i | ||||
\(489\) | − | 23.4992i | − | 1.06267i | ||||||
\(490\) | −16.1812 | + | 20.5175i | −0.730990 | + | 0.926885i | ||||
\(491\) | − | 35.5537i | − | 1.60451i | −0.596979 | − | 0.802257i | \(-0.703632\pi\) | ||
0.596979 | − | 0.802257i | \(-0.296368\pi\) | |||||||
\(492\) | −11.6508 | − | 20.3338i | −0.525257 | − | 0.916719i | ||||
\(493\) | −1.49528 | + | 0.341288i | −0.0673441 | + | 0.0153709i | ||||
\(494\) | 14.0319 | − | 32.0177i | 0.631323 | − | 1.44054i | ||||
\(495\) | 1.40449 | + | 6.15347i | 0.0631271 | + | 0.276578i | ||||
\(496\) | 0.952612 | − | 0.137183i | 0.0427735 | − | 0.00615972i | ||||
\(497\) | −4.05313 | + | 6.23840i | −0.181808 | + | 0.279830i | ||||
\(498\) | 5.98830 | + | 6.98171i | 0.268342 | + | 0.312858i | ||||
\(499\) | −10.2078 | − | 21.1968i | −0.456965 | − | 0.948898i | −0.994409 | − | 0.105599i | \(-0.966324\pi\) |
0.537443 | − | 0.843300i | \(-0.319390\pi\) | |||||||
\(500\) | −11.7719 | + | 10.8509i | −0.526453 | + | 0.485266i | ||||
\(501\) | 12.5640 | + | 6.05048i | 0.561316 | + | 0.270316i | ||||
\(502\) | −2.17479 | + | 11.3915i | −0.0970655 | + | 0.508427i | ||||
\(503\) | 4.75069 | + | 2.28781i | 0.211823 | + | 0.102008i | 0.536787 | − | 0.843718i | \(-0.319638\pi\) |
−0.324964 | + | 0.945726i | \(0.605352\pi\) | |||||||
\(504\) | −4.78243 | + | 5.75572i | −0.213026 | + | 0.256380i | ||||
\(505\) | −42.1669 | + | 20.3065i | −1.87640 | + | 0.903627i | ||||
\(506\) | 7.04271 | + | 26.4576i | 0.313087 | + | 1.17619i | ||||
\(507\) | −3.82319 | + | 4.79413i | −0.169794 | + | 0.212915i | ||||
\(508\) | 2.81781 | + | 1.93475i | 0.125020 | + | 0.0858406i | ||||
\(509\) | − | 4.10916i | − | 0.182135i | −0.995845 | − | 0.0910676i | \(-0.970972\pi\) | ||
0.995845 | − | 0.0910676i | \(-0.0290279\pi\) | |||||||
\(510\) | 0.523516 | − | 2.74217i | 0.0231817 | − | 0.121425i | ||||
\(511\) | 20.2982 | + | 20.9236i | 0.897939 | + | 0.925605i | ||||
\(512\) | −21.4659 | + | 7.15659i | −0.948666 | + | 0.316279i | ||||
\(513\) | −3.52351 | − | 4.41834i | −0.155567 | − | 0.195074i | ||||
\(514\) | −31.0487 | − | 22.9939i | −1.36950 | − | 1.01422i | ||||
\(515\) | 4.03504 | + | 8.37884i | 0.177805 | + | 0.369216i | ||||
\(516\) | 1.41648 | + | 19.7738i | 0.0623573 | + | 0.870494i | ||||
\(517\) | 6.11554 | − | 4.87698i | 0.268961 | − | 0.214489i | ||||
\(518\) | −3.72941 | + | 11.4059i | −0.163861 | + | 0.501148i | ||||
\(519\) | 9.60754 | + | 7.66176i | 0.421724 | + | 0.336314i | ||||
\(520\) | −3.81624 | + | 32.4318i | −0.167353 | + | 1.42223i | ||||
\(521\) | − | 3.57020i | − | 0.156413i | −0.996937 | − | 0.0782067i | \(-0.975081\pi\) | ||
0.996937 | − | 0.0782067i | \(-0.0249194\pi\) | |||||||
\(522\) | 0.543887 | − | 2.84887i | 0.0238053 | − | 0.124692i | ||||
\(523\) | 0.550000 | − | 2.40971i | 0.0240498 | − | 0.105369i | −0.961478 | − | 0.274880i | \(-0.911362\pi\) |
0.985528 | + | 0.169511i | \(0.0542189\pi\) | |||||||
\(524\) | 1.71215 | − | 11.1114i | 0.0747957 | − | 0.485404i | ||||
\(525\) | 4.36471 | + | 2.83578i | 0.190492 | + | 0.123764i | ||||
\(526\) | −0.546408 | − | 15.2750i | −0.0238245 | − | 0.666023i | ||||
\(527\) | −0.140684 | − | 0.112192i | −0.00612831 | − | 0.00488716i | ||||
\(528\) | −9.53313 | − | 0.777476i | −0.414876 | − | 0.0338353i | ||||
\(529\) | 9.46829 | − | 41.4833i | 0.411665 | − | 1.80362i | ||||
\(530\) | 36.9711 | + | 27.3799i | 1.60592 | + | 1.18931i | ||||
\(531\) | 0.367809 | + | 1.61148i | 0.0159616 | + | 0.0699322i | ||||
\(532\) | 27.6246 | − | 11.4503i | 1.19768 | − | 0.496435i | ||||
\(533\) | 11.4048 | − | 49.9676i | 0.493996 | − | 2.16434i | ||||
\(534\) | −15.9272 | + | 13.6609i | −0.689237 | + | 0.591167i | ||||
\(535\) | 2.95636 | + | 3.70715i | 0.127814 | + | 0.160274i | ||||
\(536\) | 2.99543 | + | 27.8175i | 0.129383 | + | 1.20153i | ||||
\(537\) | 6.18071 | − | 12.8344i | 0.266717 | − | 0.553844i | ||||
\(538\) | 3.99349 | + | 7.58621i | 0.172172 | + | 0.327065i | ||||
\(539\) | −3.22787 | − | 16.4242i | −0.139034 | − | 0.707440i | ||||
\(540\) | 4.35203 | + | 2.98817i | 0.187281 | + | 0.128590i | ||||
\(541\) | 2.51848 | + | 1.21284i | 0.108278 | + | 0.0521439i | 0.487239 | − | 0.873269i | \(-0.338004\pi\) |
−0.378961 | + | 0.925413i | \(0.623718\pi\) | |||||||
\(542\) | −6.12474 | − | 7.14079i | −0.263080 | − | 0.306723i | ||||
\(543\) | 0.892353 | − | 0.711627i | 0.0382945 | − | 0.0305389i | ||||
\(544\) | 3.72390 | + | 2.00747i | 0.159661 | + | 0.0860695i | ||||
\(545\) | 32.9232 | + | 7.51451i | 1.41028 | + | 0.321886i | ||||
\(546\) | −16.2220 | + | 2.16679i | −0.694236 | + | 0.0927300i | ||||
\(547\) | 13.4255 | − | 3.06428i | 0.574032 | − | 0.131019i | 0.0743567 | − | 0.997232i | \(-0.476310\pi\) |
0.499676 | + | 0.866213i | \(0.333453\pi\) | |||||||
\(548\) | 4.91162 | − | 31.8750i | 0.209814 | − | 1.36163i | ||||
\(549\) | 1.28277 | + | 0.292784i | 0.0547474 | + | 0.0124957i | ||||
\(550\) | 0.237828 | + | 6.64855i | 0.0101410 | + | 0.283495i | ||||
\(551\) | −7.22614 | + | 9.06129i | −0.307844 | + | 0.386024i | ||||
\(552\) | 19.3295 | + | 12.2789i | 0.822718 | + | 0.522625i | ||||
\(553\) | −5.25494 | − | 15.7817i | −0.223463 | − | 0.671108i | ||||
\(554\) | 23.7107 | − | 32.0166i | 1.00737 | − | 1.36026i | ||||
\(555\) | 8.25331 | + | 1.88376i | 0.350333 | + | 0.0799613i | ||||
\(556\) | 9.03272 | + | 29.6288i | 0.383072 | + | 1.25654i | ||||
\(557\) | −12.1343 | −0.514147 | −0.257074 | − | 0.966392i | \(-0.582758\pi\) | ||||
−0.257074 | + | 0.966392i | \(0.582758\pi\) | |||||||
\(558\) | 0.301102 | − | 0.158504i | 0.0127467 | − | 0.00671003i | ||||
\(559\) | −27.0321 | + | 33.8972i | −1.14334 | + | 1.43370i | ||||
\(560\) | −21.5648 | + | 17.7567i | −0.911279 | + | 0.750356i | ||||
\(561\) | 1.11497 | + | 1.39813i | 0.0470742 | + | 0.0590291i | ||||
\(562\) | 4.53487 | + | 1.98742i | 0.191292 | + | 0.0838344i | ||||
\(563\) | −28.9502 | + | 13.9417i | −1.22010 | + | 0.587571i | −0.929340 | − | 0.369224i | \(-0.879624\pi\) |
−0.290763 | + | 0.956795i | \(0.593909\pi\) | |||||||
\(564\) | 0.996357 | − | 6.46608i | 0.0419542 | − | 0.272271i | ||||
\(565\) | −15.4433 | + | 12.3156i | −0.649705 | + | 0.518122i | ||||
\(566\) | 24.6099 | + | 10.7854i | 1.03443 | + | 0.453343i | ||||
\(567\) | −0.911619 | + | 2.48374i | −0.0382844 | + | 0.104307i | ||||
\(568\) | −5.65136 | + | 5.59590i | −0.237126 | + | 0.234799i | ||||
\(569\) | 45.2933 | 1.89880 | 0.949398 | − | 0.314077i | \(-0.101695\pi\) | ||||
0.949398 | + | 0.314077i | \(0.101695\pi\) | |||||||
\(570\) | −9.82668 | − | 18.6672i | −0.411594 | − | 0.781883i | ||||
\(571\) | 11.3592 | + | 9.05862i | 0.475366 | + | 0.379092i | 0.831663 | − | 0.555281i | \(-0.187389\pi\) |
−0.356297 | + | 0.934373i | \(0.615961\pi\) | |||||||
\(572\) | −14.1775 | − | 15.3808i | −0.592791 | − | 0.643104i | ||||
\(573\) | −8.67549 | − | 18.0148i | −0.362424 | − | 0.752580i | ||||
\(574\) | 36.6350 | − | 24.0851i | 1.52911 | − | 1.00529i | ||||
\(575\) | 6.91090 | − | 14.3506i | 0.288205 | − | 0.598463i | ||||
\(576\) | −6.30354 | + | 4.92599i | −0.262648 | + | 0.205250i | ||||
\(577\) | 9.47811 | − | 19.6815i | 0.394579 | − | 0.819351i | −0.605151 | − | 0.796111i | \(-0.706887\pi\) |
0.999730 | − | 0.0232407i | \(-0.00739842\pi\) | |||||||
\(578\) | 5.98079 | + | 22.4683i | 0.248768 | + | 0.934557i | ||||
\(579\) | −8.89408 | + | 4.28317i | −0.369626 | + | 0.178002i | ||||
\(580\) | 3.98853 | − | 10.0652i | 0.165615 | − | 0.417934i | ||||
\(581\) | −12.3511 | + | 11.9819i | −0.512408 | + | 0.497092i | ||||
\(582\) | −15.8374 | + | 4.21573i | −0.656481 | + | 0.174747i | ||||
\(583\) | −28.7310 | + | 6.55766i | −1.18992 | + | 0.271591i | ||||
\(584\) | 16.4501 | + | 26.4690i | 0.680710 | + | 1.09530i | ||||
\(585\) | 2.56911 | + | 11.2560i | 0.106220 | + | 0.465379i | ||||
\(586\) | 0.886324 | + | 24.7775i | 0.0366137 | + | 1.02355i | ||||
\(587\) | 35.3839 | 1.46045 | 0.730225 | − | 0.683207i | \(-0.239415\pi\) | ||||
0.730225 | + | 0.683207i | \(0.239415\pi\) | |||||||
\(588\) | −11.2956 | − | 8.27094i | −0.465824 | − | 0.341088i | ||||
\(589\) | −1.35975 | −0.0560275 | ||||||||
\(590\) | 0.220576 | + | 6.16626i | 0.00908095 | + | 0.253861i | ||||
\(591\) | −0.204061 | − | 0.894051i | −0.00839396 | − | 0.0367764i | ||||
\(592\) | −6.48726 | + | 11.0676i | −0.266625 | + | 0.454874i | ||||
\(593\) | 3.91211 | − | 0.892914i | 0.160651 | − | 0.0366676i | −0.141439 | − | 0.989947i | \(-0.545173\pi\) |
0.302090 | + | 0.953279i | \(0.402316\pi\) | |||||||
\(594\) | −3.26787 | + | 0.869868i | −0.134082 | + | 0.0356911i | ||||
\(595\) | 5.18047 | + | 0.663429i | 0.212379 | + | 0.0271979i | ||||
\(596\) | 9.46567 | + | 3.75096i | 0.387729 | + | 0.153645i | ||||
\(597\) | −0.485392 | + | 0.233753i | −0.0198658 | + | 0.00956685i | ||||
\(598\) | 12.8826 | + | 48.3967i | 0.526809 | + | 1.97909i | ||||
\(599\) | −0.793069 | + | 1.64683i | −0.0324039 | + | 0.0672875i | −0.916542 | − | 0.399937i | \(-0.869032\pi\) |
0.884139 | + | 0.467225i | \(0.154746\pi\) | |||||||
\(600\) | 3.91519 | + | 3.95399i | 0.159837 | + | 0.161421i | ||||
\(601\) | −19.2202 | + | 39.9111i | −0.784007 | + | 1.62801i | −0.00581301 | + | 0.999983i | \(0.501850\pi\) |
−0.778194 | + | 0.628024i | \(0.783864\pi\) | |||||||
\(602\) | −36.7617 | + | 4.91031i | −1.49830 | + | 0.200129i | ||||
\(603\) | 4.29190 | + | 8.91222i | 0.174780 | + | 0.362934i | ||||
\(604\) | 19.2492 | − | 17.7432i | 0.783238 | − | 0.721961i | ||||
\(605\) | 10.9008 | + | 8.69312i | 0.443182 | + | 0.353426i | ||||
\(606\) | −11.6804 | − | 22.1886i | −0.474483 | − | 0.901349i | ||||
\(607\) | 5.42979 | 0.220388 | 0.110194 | − | 0.993910i | \(-0.464853\pi\) | ||||
0.110194 | + | 0.993910i | \(0.464853\pi\) | |||||||
\(608\) | 31.4589 | − | 5.68493i | 1.27583 | − | 0.230554i | ||||
\(609\) | 5.38205 | + | 0.689244i | 0.218092 | + | 0.0279296i | ||||
\(610\) | 4.49857 | + | 1.97152i | 0.182142 | + | 0.0798243i | ||||
\(611\) | 11.1866 | − | 8.92104i | 0.452562 | − | 0.360907i | ||||
\(612\) | 1.47827 | + | 0.227786i | 0.0597556 | + | 0.00920772i | ||||
\(613\) | 42.0070 | − | 20.2295i | 1.69665 | − | 0.817061i | 0.702180 | − | 0.712000i | \(-0.252210\pi\) |
0.994466 | − | 0.105062i | \(-0.0335040\pi\) | |||||||
\(614\) | −27.4396 | − | 12.0255i | −1.10737 | − | 0.485311i | ||||
\(615\) | −19.2841 | − | 24.1815i | −0.777609 | − | 0.975091i | ||||
\(616\) | 0.359681 | − | 17.8905i | 0.0144919 | − | 0.720827i | ||||
\(617\) | −3.14118 | + | 3.93891i | −0.126459 | + | 0.158575i | −0.841030 | − | 0.540988i | \(-0.818050\pi\) |
0.714571 | + | 0.699563i | \(0.246622\pi\) | |||||||
\(618\) | −4.40902 | + | 2.32097i | −0.177357 | + | 0.0933631i | ||||
\(619\) | −13.9091 | −0.559053 | −0.279526 | − | 0.960138i | \(-0.590177\pi\) | ||||
−0.279526 | + | 0.960138i | \(0.590177\pi\) | |||||||
\(620\) | 1.21500 | − | 0.370409i | 0.0487957 | − | 0.0148760i | ||||
\(621\) | 7.89331 | + | 1.80160i | 0.316748 | + | 0.0722956i | ||||
\(622\) | 17.7098 | − | 23.9136i | 0.710098 | − | 0.958846i | ||||
\(623\) | −27.3339 | − | 28.1761i | −1.09511 | − | 1.12885i | ||||
\(624\) | −17.4381 | − | 1.42217i | −0.698084 | − | 0.0569323i | ||||
\(625\) | −19.3071 | + | 24.2104i | −0.772286 | + | 0.968416i | ||||
\(626\) | −0.907356 | − | 25.3654i | −0.0362652 | − | 1.01381i | ||||
\(627\) | 13.1745 | + | 3.00699i | 0.526138 | + | 0.120088i | ||||
\(628\) | −6.19137 | − | 0.954026i | −0.247063 | − | 0.0380698i | ||||
\(629\) | 2.33838 | − | 0.533720i | 0.0932373 | − | 0.0212808i | ||||
\(630\) | −5.08129 | + | 8.46894i | −0.202443 | + | 0.337411i | ||||
\(631\) | −37.5419 | − | 8.56869i | −1.49452 | − | 0.341114i | −0.604340 | − | 0.796727i | \(-0.706563\pi\) |
−0.890178 | + | 0.455613i | \(0.849420\pi\) | |||||||
\(632\) | −1.90380 | − | 17.6799i | −0.0757291 | − | 0.703268i | ||||
\(633\) | 16.3056 | − | 13.0033i | 0.648091 | − | 0.516835i | ||||
\(634\) | −14.5239 | − | 16.9333i | −0.576817 | − | 0.672506i | ||||
\(635\) | 4.06439 | + | 1.95731i | 0.161290 | + | 0.0776733i | ||||
\(636\) | −13.9520 | + | 20.3199i | −0.553231 | + | 0.805737i | ||||
\(637\) | −5.90447 | − | 30.0433i | −0.233943 | − | 1.19036i | ||||
\(638\) | 3.23053 | + | 6.13686i | 0.127898 | + | 0.242961i | ||||
\(639\) | −1.22002 | + | 2.53339i | −0.0482631 | + | 0.100219i | ||||
\(640\) | −26.5614 | + | 13.6495i | −1.04993 | + | 0.539542i | ||||
\(641\) | −3.99746 | − | 5.01266i | −0.157890 | − | 0.197988i | 0.696594 | − | 0.717466i | \(-0.254698\pi\) |
−0.854484 | + | 0.519478i | \(0.826127\pi\) | |||||||
\(642\) | −1.92831 | + | 1.65393i | −0.0761042 | + | 0.0652755i | ||||
\(643\) | 10.5471 | − | 46.2097i | 0.415936 | − | 1.82233i | −0.138818 | − | 0.990318i | \(-0.544330\pi\) |
0.554754 | − | 0.832015i | \(-0.312813\pi\) | |||||||
\(644\) | −20.7142 | + | 37.5010i | −0.816255 | + | 1.47775i | ||||
\(645\) | 5.82205 | + | 25.5080i | 0.229243 | + | 1.00438i | ||||
\(646\) | −4.80321 | − | 3.55714i | −0.188980 | − | 0.139954i | ||||
\(647\) | 5.09918 | − | 22.3410i | 0.200470 | − | 0.878315i | −0.770182 | − | 0.637824i | \(-0.779835\pi\) |
0.970652 | − | 0.240490i | \(-0.0773083\pi\) | |||||||
\(648\) | −1.51661 | + | 2.38745i | −0.0595779 | + | 0.0937878i | ||||
\(649\) | −3.09015 | − | 2.46432i | −0.121299 | − | 0.0967328i | ||||
\(650\) | 0.435038 | + | 12.1616i | 0.0170636 | + | 0.477018i | ||||
\(651\) | 0.330472 | + | 0.544095i | 0.0129522 | + | 0.0213248i | ||||
\(652\) | 46.4502 | + | 7.15750i | 1.81913 | + | 0.280309i | ||||
\(653\) | 2.71804 | − | 11.9085i | 0.106365 | − | 0.466015i | −0.893492 | − | 0.449080i | \(-0.851752\pi\) |
0.999857 | − | 0.0169355i | \(-0.00539098\pi\) | |||||||
\(654\) | −3.39293 | + | 17.7721i | −0.132674 | + | 0.694944i | ||||
\(655\) | − | 14.8377i | − | 0.579758i | ||||||
\(656\) | 43.7419 | − | 16.8364i | 1.70783 | − | 0.657350i | ||||
\(657\) | 8.61442 | + | 6.86977i | 0.336080 | + | 0.268015i | ||||
\(658\) | 12.1884 | + | 1.11976i | 0.475152 | + | 0.0436528i | ||||
\(659\) | −8.46957 | + | 6.75426i | −0.329928 | + | 0.263108i | −0.774417 | − | 0.632676i | \(-0.781957\pi\) |
0.444489 | + | 0.895784i | \(0.353385\pi\) | |||||||
\(660\) | −12.5912 | + | 0.901961i | −0.490111 | + | 0.0351088i | ||||
\(661\) | 13.9357 | + | 28.9378i | 0.542036 | + | 1.12555i | 0.974601 | + | 0.223946i | \(0.0718941\pi\) |
−0.432566 | + | 0.901602i | \(0.642392\pi\) | |||||||
\(662\) | 31.2157 | + | 23.1176i | 1.21323 | + | 0.898491i | ||||
\(663\) | 2.03952 | + | 2.55748i | 0.0792084 | + | 0.0993243i | ||||
\(664\) | −15.6245 | + | 9.71038i | −0.606348 | + | 0.376836i | ||||
\(665\) | 33.7318 | − | 20.4880i | 1.30806 | − | 0.794492i | ||||
\(666\) | −0.850551 | + | 4.45517i | −0.0329582 | + | 0.172634i | ||||
\(667\) | − | 16.6042i | − | 0.642917i | ||||||
\(668\) | −15.7866 | + | 22.9919i | −0.610802 | + | 0.889584i | ||||
\(669\) | 8.22903 | − | 10.3189i | 0.318153 | − | 0.398951i | ||||
\(670\) | 9.49833 | + | 35.6828i | 0.366952 | + | 1.37855i | ||||
\(671\) | −2.83467 | + | 1.36510i | −0.109431 | + | 0.0526992i | ||||
\(672\) | −9.92052 | − | 11.2064i | −0.382692 | − | 0.432296i | ||||
\(673\) | −21.4151 | − | 10.3130i | −0.825493 | − | 0.397536i | −0.0270699 | − | 0.999634i | \(-0.508618\pi\) |
−0.798423 | + | 0.602097i | \(0.794332\pi\) | |||||||
\(674\) | −5.92904 | + | 31.0562i | −0.228378 | + | 1.19624i | ||||
\(675\) | 1.77249 | + | 0.853588i | 0.0682233 | + | 0.0328546i | ||||
\(676\) | −8.31193 | − | 9.01741i | −0.319690 | − | 0.346823i | ||||
\(677\) | −15.7669 | − | 32.7403i | −0.605970 | − | 1.25831i | −0.947895 | − | 0.318583i | \(-0.896793\pi\) |
0.341924 | − | 0.939727i | \(-0.388921\pi\) | |||||||
\(678\) | −6.88997 | − | 8.03296i | −0.264608 | − | 0.308504i | ||||
\(679\) | −9.68643 | − | 29.0905i | −0.371731 | − | 1.11639i | ||||
\(680\) | 5.26090 | + | 1.87004i | 0.201746 | + | 0.0717128i | ||||
\(681\) | −4.54490 | − | 19.9125i | −0.174161 | − | 0.763049i | ||||
\(682\) | −0.326602 | + | 0.745235i | −0.0125062 | + | 0.0285365i | ||||
\(683\) | 4.47652 | − | 1.02174i | 0.171289 | − | 0.0390956i | −0.136016 | − | 0.990707i | \(-0.543430\pi\) |
0.307305 | + | 0.951611i | \(0.400573\pi\) | |||||||
\(684\) | 9.80681 | − | 5.61906i | 0.374973 | − | 0.214850i | ||||
\(685\) | − | 42.5647i | − | 1.62631i | ||||||
\(686\) | 14.1505 | − | 22.0401i | 0.540267 | − | 0.841494i | ||||
\(687\) | − | 0.225580i | − | 0.00860641i | ||||||
\(688\) | −39.5178 | − | 3.22288i | −1.50660 | − | 0.122871i | ||||
\(689\) | −52.5551 | + | 11.9954i | −2.00219 | + | 0.456987i | ||||
\(690\) | 27.6812 | + | 12.1314i | 1.05380 | + | 0.461833i | ||||
\(691\) | 9.72102 | + | 42.5906i | 0.369805 | + | 1.62022i | 0.727309 | + | 0.686310i | \(0.240771\pi\) |
−0.357504 | + | 0.933912i | \(0.616372\pi\) | |||||||
\(692\) | −18.0711 | + | 16.6573i | −0.686960 | + | 0.633215i | ||||
\(693\) | −1.99869 | − | 6.00250i | −0.0759238 | − | 0.228016i | ||||
\(694\) | 10.2967 | − | 8.83163i | 0.390858 | − | 0.335244i | ||||
\(695\) | 17.7374 | + | 36.8320i | 0.672817 | + | 1.39712i | ||||
\(696\) | 5.46561 | + | 1.94281i | 0.207174 | + | 0.0736419i | ||||
\(697\) | −7.89526 | − | 3.80216i | −0.299054 | − | 0.144017i | ||||
\(698\) | 20.1969 | + | 3.85586i | 0.764464 | + | 0.145946i | ||||
\(699\) | 1.15899 | + | 0.558142i | 0.0438372 | + | 0.0211109i | ||||
\(700\) | −6.93484 | + | 7.76387i | −0.262112 | + | 0.293447i | ||||
\(701\) | 12.1120 | − | 5.83283i | 0.457464 | − | 0.220303i | −0.190937 | − | 0.981602i | \(-0.561153\pi\) |
0.648401 | + | 0.761299i | \(0.275438\pi\) | |||||||
\(702\) | −5.97763 | + | 1.59117i | −0.225611 | + | 0.0600550i | ||||
\(703\) | 11.3005 | − | 14.1704i | 0.426207 | − | 0.534446i | ||||
\(704\) | 4.44046 | − | 18.6071i | 0.167356 | − | 0.701280i | ||||
\(705\) | − | 8.63455i | − | 0.325196i | ||||||
\(706\) | −37.3559 | − | 7.13175i | −1.40591 | − | 0.268407i | ||||
\(707\) | 40.0950 | − | 24.3529i | 1.50793 | − | 0.915885i | ||||
\(708\) | −3.29739 | + | 0.236207i | −0.123924 | + | 0.00887718i | ||||
\(709\) | 2.42715 | + | 3.04355i | 0.0911534 | + | 0.114303i | 0.825317 | − | 0.564670i | \(-0.190997\pi\) |
−0.734163 | + | 0.678973i | \(0.762425\pi\) | |||||||
\(710\) | −6.24684 | + | 8.43511i | −0.234440 | + | 0.316564i | ||||
\(711\) | −2.72779 | − | 5.66432i | −0.102300 | − | 0.212429i | ||||
\(712\) | −22.1520 | − | 35.6437i | −0.830182 | − | 1.33580i | ||||
\(713\) | 1.52305 | − | 1.21459i | 0.0570385 | − | 0.0454867i | ||||
\(714\) | −0.255999 | + | 2.78650i | −0.00958052 | + | 0.104282i | ||||
\(715\) | −21.5844 | − | 17.2130i | −0.807211 | − | 0.643730i | ||||
\(716\) | 23.4868 | + | 16.1264i | 0.877742 | + | 0.602671i | ||||
\(717\) | − | 10.4828i | − | 0.391487i | ||||||
\(718\) | 9.54973 | + | 1.82317i | 0.356393 | + | 0.0680402i | ||||
\(719\) | 3.97257 | − | 17.4050i | 0.148152 | − | 0.649096i | −0.845246 | − | 0.534377i | \(-0.820546\pi\) |
0.993398 | − | 0.114719i | \(-0.0365966\pi\) | |||||||
\(720\) | −7.23218 | + | 7.69237i | −0.269528 | + | 0.286678i | ||||
\(721\) | −4.83909 | − | 7.96715i | −0.180217 | − | 0.296712i | ||||
\(722\) | −18.2837 | + | 0.654033i | −0.680450 | + | 0.0243406i | ||||
\(723\) | 10.4940 | + | 8.36870i | 0.390277 | + | 0.311235i | ||||
\(724\) | 1.13486 | + | 1.98064i | 0.0421766 | + | 0.0736098i | ||||
\(725\) | 0.897794 | − | 3.93349i | 0.0333432 | − | 0.146086i | ||||
\(726\) | −4.44579 | + | 6.00316i | −0.164999 | + | 0.222798i | ||||
\(727\) | 3.13918 | + | 13.7536i | 0.116426 | + | 0.510094i | 0.999189 | + | 0.0402754i | \(0.0128235\pi\) |
−0.882763 | + | 0.469819i | \(0.844319\pi\) | |||||||
\(728\) | 0.657932 | − | 32.7254i | 0.0243846 | − | 1.21289i | ||||
\(729\) | −0.222521 | + | 0.974928i | −0.00824152 | + | 0.0361084i | ||||
\(730\) | 26.7774 | + | 31.2196i | 0.991076 | + | 1.15549i | ||||
\(731\) | 4.62190 | + | 5.79568i | 0.170947 | + | 0.214361i | ||||
\(732\) | −0.969451 | + | 2.44644i | −0.0358320 | + | 0.0904231i | ||||
\(733\) | −21.6721 | + | 45.0026i | −0.800477 | + | 1.66221i | −0.0523730 | + | 0.998628i | \(0.516678\pi\) |
−0.748104 | + | 0.663581i | \(0.769036\pi\) | |||||||
\(734\) | 28.4599 | − | 14.9817i | 1.05047 | − | 0.552984i | ||||
\(735\) | −16.3963 | − | 8.51818i | −0.604787 | − | 0.314198i | ||||
\(736\) | −30.1588 | + | 34.4681i | −1.11167 | + | 1.27051i | ||||
\(737\) | −21.3109 | − | 10.2628i | −0.784996 | − | 0.378034i | ||||
\(738\) | 12.5782 | − | 10.7885i | 0.463010 | − | 0.397129i | ||||
\(739\) | 19.0718 | − | 15.2093i | 0.701567 | − | 0.559481i | −0.206428 | − | 0.978462i | \(-0.566184\pi\) |
0.907995 | + | 0.418980i | \(0.137612\pi\) | |||||||
\(740\) | −6.23741 | + | 15.7403i | −0.229292 | + | 0.578625i | ||||
\(741\) | 24.0989 | + | 5.50042i | 0.885296 | + | 0.202063i | ||||
\(742\) | −39.5421 | − | 23.7249i | −1.45163 | − | 0.870968i | ||||
\(743\) | −15.9092 | + | 3.63118i | −0.583654 | + | 0.133215i | −0.504145 | − | 0.863619i | \(-0.668192\pi\) |
−0.0795086 | + | 0.996834i | \(0.525335\pi\) | |||||||
\(744\) | 0.221600 | + | 0.643458i | 0.00812425 | + | 0.0235903i | ||||
\(745\) | 13.1008 | + | 2.99018i | 0.479977 | + | 0.109552i | ||||
\(746\) | −26.6610 | + | 0.953702i | −0.976130 | + | 0.0349175i | ||||
\(747\) | −4.05518 | + | 5.08503i | −0.148371 | + | 0.186052i | ||||
\(748\) | −3.10325 | + | 1.77808i | −0.113466 | + | 0.0650132i | ||||
\(749\) | −3.30932 | − | 3.41129i | −0.120920 | − | 0.124646i | ||||
\(750\) | −9.09758 | − | 6.73744i | −0.332196 | − | 0.246017i | ||||
\(751\) | −48.0662 | − | 10.9708i | −1.75396 | − | 0.400330i | −0.779772 | − | 0.626063i | \(-0.784665\pi\) |
−0.974189 | + | 0.225733i | \(0.927522\pi\) | |||||||
\(752\) | 12.4778 | + | 3.93894i | 0.455020 | + | 0.143638i | ||||
\(753\) | −8.20048 | −0.298842 | ||||||||
\(754\) | 5.90933 | + | 11.2256i | 0.215205 | + | 0.408813i | ||||
\(755\) | 21.5422 | − | 27.0130i | 0.783999 | − | 0.983104i | ||||
\(756\) | −4.63187 | − | 2.55848i | −0.168459 | − | 0.0930510i | ||||
\(757\) | 5.16090 | + | 6.47157i | 0.187576 | + | 0.235213i | 0.866724 | − | 0.498789i | \(-0.166222\pi\) |
−0.679147 | + | 0.734002i | \(0.737650\pi\) | |||||||
\(758\) | −15.8635 | + | 36.1972i | −0.576190 | + | 1.31474i | ||||
\(759\) | −17.4426 | + | 8.39992i | −0.633127 | + | 0.304898i | ||||
\(760\) | 39.8920 | − | 13.7384i | 1.44703 | − | 0.498343i | ||||
\(761\) | 31.0552 | − | 24.7657i | 1.12575 | − | 0.897754i | 0.130152 | − | 0.991494i | \(-0.458454\pi\) |
0.995597 | + | 0.0937398i | \(0.0298822\pi\) | |||||||
\(762\) | −0.970159 | + | 2.21369i | −0.0351452 | + | 0.0801937i | ||||
\(763\) | −33.5748 | − | 4.29971i | −1.21549 | − | 0.155660i | ||||
\(764\) | 38.2518 | − | 11.6615i | 1.38390 | − | 0.421900i | ||||
\(765\) | 1.97402 | 0.0713710 | ||||||||
\(766\) | 3.46285 | − | 1.82289i | 0.125118 | − | 0.0658638i | ||||
\(767\) | −5.65255 | − | 4.50776i | −0.204102 | − | 0.162766i | ||||
\(768\) | −7.81710 | − | 13.9604i | −0.282075 | − | 0.503753i | ||||
\(769\) | −7.63740 | − | 15.8592i | −0.275412 | − | 0.571898i | 0.716682 | − | 0.697400i | \(-0.245660\pi\) |
−0.992093 | + | 0.125502i | \(0.959946\pi\) | |||||||
\(770\) | −3.12669 | − | 23.4084i | −0.112678 | − | 0.843580i | ||||
\(771\) | 11.8536 | − | 24.6143i | 0.426897 | − | 0.886461i | ||||
\(772\) | −5.75741 | − | 18.8853i | −0.207214 | − | 0.679696i | ||||
\(773\) | −13.7267 | + | 28.5037i | −0.493714 | + | 1.02521i | 0.494076 | + | 0.869418i | \(0.335506\pi\) |
−0.987790 | + | 0.155789i | \(0.950208\pi\) | |||||||
\(774\) | −13.5463 | + | 3.60587i | −0.486912 | + | 0.129610i | ||||
\(775\) | 0.426479 | − | 0.205381i | 0.0153196 | − | 0.00737752i | ||||
\(776\) | −3.50928 | − | 32.5894i | −0.125976 | − | 1.16989i | ||||
\(777\) | −8.41665 | − | 1.07787i | −0.301946 | − | 0.0386682i | ||||
\(778\) | 9.18942 | + | 34.5223i | 0.329457 | + | 1.23768i | ||||
\(779\) | −64.5588 | + | 14.7351i | −2.31306 | + | 0.527940i | ||||
\(780\) | −23.0319 | + | 1.64988i | −0.824676 | + | 0.0590752i | ||||
\(781\) | −1.49616 | − | 6.55510i | −0.0535368 | − | 0.234560i | ||||
\(782\) | 8.55744 | − | 0.306111i | 0.306013 | − | 0.0109465i | ||||
\(783\) | 2.05084 | 0.0732909 | ||||||||
\(784\) | 19.7894 | − | 19.8086i | 0.706765 | − | 0.707449i | ||||
\(785\) | −8.26771 | −0.295087 | ||||||||
\(786\) | 7.94459 | − | 0.284189i | 0.283374 | − | 0.0101367i | ||||
\(787\) | −3.67981 | − | 16.1223i | −0.131171 | − | 0.574698i | −0.997205 | − | 0.0747127i | \(-0.976196\pi\) |
0.866034 | − | 0.499985i | \(-0.166661\pi\) | |||||||
\(788\) | 1.82940 | − | 0.131048i | 0.0651696 | − | 0.00466839i | ||||
\(789\) | 10.5370 | − | 2.40500i | 0.375127 | − | 0.0856203i | ||||
\(790\) | −6.03683 | − | 22.6788i | −0.214781 | − | 0.806876i | ||||
\(791\) | 14.2108 | − | 13.7860i | 0.505277 | − | 0.490175i | ||||
\(792\) | −0.724100 | − | 6.72445i | −0.0257298 | − | 0.238943i | ||||
\(793\) | −5.18521 | + | 2.49706i | −0.184132 | + | 0.0886734i | ||||
\(794\) | 27.5862 | − | 7.34313i | 0.978999 | − | 0.260598i | ||||
\(795\) | −14.1146 | + | 29.3093i | −0.500594 | + | 1.03949i | ||||
\(796\) | −0.314209 | − | 1.03066i | −0.0111368 | − | 0.0365307i | ||||
\(797\) | 6.44658 | − | 13.3865i | 0.228350 | − | 0.474173i | −0.755040 | − | 0.655678i | \(-0.772383\pi\) |
0.983390 | + | 0.181506i | \(0.0580970\pi\) | |||||||
\(798\) | 11.6160 | + | 17.6687i | 0.411203 | + | 0.625465i | ||||
\(799\) | −1.06145 | − | 2.20412i | −0.0375514 | − | 0.0779763i | ||||
\(800\) | −9.00825 | + | 6.53471i | −0.318490 | + | 0.231037i | ||||
\(801\) | −11.6003 | − | 9.25096i | −0.409878 | − | 0.326867i | ||||
\(802\) | −20.6088 | + | 10.8488i | −0.727721 | + | 0.383083i | ||||
\(803\) | −26.3468 | −0.929758 | ||||||||
\(804\) | −18.9238 | + | 5.76915i | −0.667390 | + | 0.203462i | ||||
\(805\) | −19.4820 | + | 53.0793i | −0.686649 | + | 1.87080i | ||||
\(806\) | −0.597424 | + | 1.36319i | −0.0210434 | + | 0.0480164i | ||||
\(807\) | −4.73956 | + | 3.77967i | −0.166840 | + | 0.133051i | ||||
\(808\) | 47.4172 | − | 16.3300i | 1.66813 | − | 0.574486i | ||||
\(809\) | 36.9283 | − | 17.7837i | 1.29833 | − | 0.625242i | 0.348294 | − | 0.937385i | \(-0.386761\pi\) |
0.950035 | + | 0.312143i | \(0.101047\pi\) | |||||||
\(810\) | −1.49838 | + | 3.41899i | −0.0526479 | + | 0.120131i | ||||
\(811\) | −14.2306 | − | 17.8446i | −0.499703 | − | 0.626607i | 0.466460 | − | 0.884543i | \(-0.345529\pi\) |
−0.966162 | + | 0.257935i | \(0.916958\pi\) | |||||||
\(812\) | −3.00170 | + | 10.4286i | −0.105339 | + | 0.365972i | ||||
\(813\) | 4.14757 | − | 5.20089i | 0.145462 | − | 0.182403i | ||||
\(814\) | −5.05203 | − | 9.59706i | −0.177074 | − | 0.336377i | ||||
\(815\) | 62.0277 | 2.17274 | ||||||||
\(816\) | −0.900517 | + | 2.85267i | −0.0315244 | + | 0.0998636i | ||||
\(817\) | 54.6123 | + | 12.4649i | 1.91064 | + | 0.436091i | ||||
\(818\) | −15.4015 | − | 11.4060i | −0.538500 | − | 0.398800i | ||||
\(819\) | −3.65602 | − | 10.9798i | −0.127752 | − | 0.383667i | ||||
\(820\) | 53.6725 | − | 30.7530i | 1.87432 | − | 1.07394i | ||||
\(821\) | −0.0238844 | + | 0.0299501i | −0.000833572 | + | 0.00104527i | −0.782248 | − | 0.622967i | \(-0.785927\pi\) |
0.781415 | + | 0.624012i | \(0.214498\pi\) | |||||||
\(822\) | 22.7905 | − | 0.815247i | 0.794910 | − | 0.0284350i | ||||
\(823\) | 38.7006 | + | 8.83315i | 1.34902 | + | 0.307904i | 0.835177 | − | 0.549982i | \(-0.185365\pi\) |
0.513840 | + | 0.857886i | \(0.328223\pi\) | |||||||
\(824\) | −3.24488 | − | 9.42211i | −0.113041 | − | 0.328235i | ||||
\(825\) | −4.58630 | + | 1.04679i | −0.159674 | + | 0.0364446i | ||||
\(826\) | −0.818821 | − | 6.13022i | −0.0284904 | − | 0.213298i | ||||
\(827\) | −32.7294 | − | 7.47027i | −1.13811 | − | 0.259767i | −0.388375 | − | 0.921501i | \(-0.626963\pi\) |
−0.749738 | + | 0.661735i | \(0.769821\pi\) | |||||||
\(828\) | −5.96535 | + | 15.0537i | −0.207310 | + | 0.523154i | ||||
\(829\) | −12.8407 | + | 10.2401i | −0.445976 | + | 0.355654i | −0.820581 | − | 0.571531i | \(-0.806350\pi\) |
0.374605 | + | 0.927185i | \(0.377778\pi\) | |||||||
\(830\) | −18.4287 | + | 15.8065i | −0.639669 | + | 0.548652i | ||||
\(831\) | 25.3816 | + | 12.2231i | 0.880478 | + | 0.424016i | ||||
\(832\) | 8.12254 | − | 34.0363i | 0.281599 | − | 1.18000i | ||||
\(833\) | −5.23260 | − | 0.158811i | −0.181299 | − | 0.00550248i | ||||
\(834\) | −19.3813 | + | 10.2026i | −0.671120 | + | 0.353287i | ||||
\(835\) | −15.9707 | + | 33.1634i | −0.552688 | + | 1.14767i | ||||
\(836\) | −9.95657 | + | 25.1257i | −0.344355 | + | 0.868991i | ||||
\(837\) | 0.150018 | + | 0.188116i | 0.00518537 | + | 0.00650225i | ||||
\(838\) | 29.8001 | + | 34.7437i | 1.02943 | + | 1.20020i | ||||
\(839\) | −2.94685 | + | 12.9110i | −0.101737 | + | 0.445737i | 0.898244 | + | 0.439497i | \(0.144843\pi\) |
−0.999981 | + | 0.00623994i | \(0.998014\pi\) | |||||||
\(840\) | −15.1926 | − | 12.6235i | −0.524195 | − | 0.435554i | ||||
\(841\) | 5.51720 | + | 24.1724i | 0.190248 | + | 0.833532i | ||||
\(842\) | 31.9408 | − | 43.1296i | 1.10075 | − | 1.48634i | ||||
\(843\) | −0.779060 | + | 3.41329i | −0.0268323 | + | 0.117560i | ||||
\(844\) | 20.7368 | + | 36.1915i | 0.713791 | + | 1.24576i | ||||
\(845\) | −12.6544 | − | 10.0916i | −0.435326 | − | 0.347161i | ||||
\(846\) | 4.62321 | − | 0.165379i | 0.158949 | − | 0.00568584i | ||||
\(847\) | −11.7191 | − | 7.61399i | −0.402673 | − | 0.261620i | ||||
\(848\) | −35.9162 | − | 33.7676i | −1.23337 | − | 1.15958i | ||||
\(849\) | −4.22781 | + | 18.5233i | −0.145098 | + | 0.635717i | ||||
\(850\) | 2.04379 | + | 0.390186i | 0.0701013 | + | 0.0133833i | ||||
\(851\) | 25.9663i | 0.890112i | ||||||||
\(852\) | −4.63608 | − | 3.18320i | −0.158829 | − | 0.109055i | ||||
\(853\) | 17.7230 | + | 14.1337i | 0.606825 | + | 0.483927i | 0.878037 | − | 0.478593i | \(-0.158853\pi\) |
−0.271212 | + | 0.962520i | \(0.587424\pi\) | |||||||
\(854\) | −4.67934 | − | 1.53001i | −0.160124 | − | 0.0523559i | ||||
\(855\) | 11.6625 | − | 9.30054i | 0.398849 | − | 0.318072i | ||||
\(856\) | −2.68195 | − | 4.31539i | −0.0916671 | − | 0.147497i | ||||
\(857\) | −2.03871 | − | 4.23342i | −0.0696410 | − | 0.144611i | 0.863242 | − | 0.504790i | \(-0.168430\pi\) |
−0.932883 | + | 0.360179i | \(0.882716\pi\) | |||||||
\(858\) | 8.80298 | − | 11.8867i | 0.300529 | − | 0.405804i | ||||
\(859\) | 15.9026 | + | 19.9412i | 0.542588 | + | 0.680384i | 0.975233 | − | 0.221180i | \(-0.0709909\pi\) |
−0.432645 | + | 0.901565i | \(0.642420\pi\) | |||||||
\(860\) | −52.1943 | + | 3.73891i | −1.77981 | + | 0.127496i | ||||
\(861\) | 21.5865 | + | 22.2516i | 0.735665 | + | 0.758331i | ||||
\(862\) | −4.59632 | − | 0.877498i | −0.156551 | − | 0.0298877i | ||||
\(863\) | 15.3968i | 0.524115i | 0.965052 | + | 0.262057i | \(0.0844009\pi\) | ||||
−0.965052 | + | 0.262057i | \(0.915599\pi\) | |||||||
\(864\) | −4.25726 | − | 3.72501i | −0.144835 | − | 0.126727i | ||||
\(865\) | −20.2237 | + | 25.3598i | −0.687628 | + | 0.862258i | ||||
\(866\) | 13.6463 | − | 3.63248i | 0.463719 | − | 0.123437i | ||||
\(867\) | −14.8126 | + | 7.13336i | −0.503061 | + | 0.242261i | ||||
\(868\) | −1.17615 | + | 0.487512i | −0.0399212 | + | 0.0165472i | ||||
\(869\) | 13.5445 | + | 6.52268i | 0.459466 | + | 0.221267i | ||||
\(870\) | 7.51978 | + | 1.43563i | 0.254944 | + | 0.0486723i | ||||
\(871\) | −38.9821 | − | 18.7728i | −1.32086 | − | 0.636092i | ||||
\(872\) | −34.0961 | − | 12.1198i | −1.15464 | − | 0.410429i | ||||
\(873\) | −5.02814 | − | 10.4410i | −0.170177 | − | 0.353376i | ||||
\(874\) | 49.1150 | − | 42.1265i | 1.66134 | − | 1.42495i | ||||
\(875\) | 11.5387 | − | 17.7599i | 0.390080 | − | 0.600394i | ||||
\(876\) | −16.2031 | + | 14.9354i | −0.547452 | + | 0.504622i | ||||
\(877\) | −1.14958 | − | 5.03664i | −0.0388186 | − | 0.170075i | 0.951803 | − | 0.306711i | \(-0.0992283\pi\) |
−0.990621 | + | 0.136635i | \(0.956371\pi\) | |||||||
\(878\) | −2.57244 | − | 1.12738i | −0.0868155 | − | 0.0380472i | ||||
\(879\) | −17.0920 | + | 3.90113i | −0.576498 | + | 0.131582i | ||||
\(880\) | 2.05220 | − | 25.1633i | 0.0691796 | − | 0.848256i | ||||
\(881\) | 32.0721i | 1.08054i | 0.841492 | + | 0.540269i | \(0.181678\pi\) | ||||
−0.841492 | + | 0.540269i | \(0.818322\pi\) | |||||||
\(882\) | 4.24687 | − | 8.94226i | 0.143000 | − | 0.301102i | ||||
\(883\) | 50.0789i | 1.68529i | 0.538471 | + | 0.842644i | \(0.319002\pi\) | ||||
−0.538471 | + | 0.842644i | \(0.680998\pi\) | |||||||
\(884\) | −5.67650 | + | 3.25249i | −0.190921 | + | 0.109393i | ||||
\(885\) | −4.25361 | + | 0.970858i | −0.142983 | + | 0.0326350i | ||||
\(886\) | 1.27055 | − | 2.89911i | 0.0426848 | − | 0.0973976i | ||||
\(887\) | 5.08745 | + | 22.2896i | 0.170820 | + | 0.748410i | 0.985663 | + | 0.168728i | \(0.0539660\pi\) |
−0.814843 | + | 0.579682i | \(0.803177\pi\) | |||||||
\(888\) | −8.54733 | − | 3.03823i | −0.286830 | − | 0.101956i | ||||
\(889\) | −4.24481 | − | 1.55800i | −0.142366 | − | 0.0522535i | ||||
\(890\) | −36.0590 | − | 42.0409i | −1.20870 | − | 1.40921i | ||||
\(891\) | −1.03750 | − | 2.15439i | −0.0347576 | − | 0.0721749i | ||||
\(892\) | 17.8906 | + | 19.4091i | 0.599021 | + | 0.649864i | ||||
\(893\) | −16.6557 | − | 8.02095i | −0.557361 | − | 0.268411i | ||||
\(894\) | −1.35012 | + | 7.07188i | −0.0451546 | + | 0.236519i | ||||
\(895\) | 33.8772 | + | 16.3144i | 1.13239 | + | 0.545330i | ||||
\(896\) | 25.1730 | − | 16.1963i | 0.840971 | − | 0.541081i | ||||
\(897\) | −31.9063 | + | 15.3652i | −1.06532 | + | 0.513030i | ||||
\(898\) | −9.53804 | − | 35.8319i | −0.318288 | − | 1.19573i | ||||
\(899\) | 0.307662 | − | 0.385796i | 0.0102611 | − | 0.0128670i | ||||
\(900\) | −2.22714 | + | 3.24365i | −0.0742379 | + | 0.108122i | ||||
\(901\) | 9.21685i | 0.307058i | ||||||||
\(902\) | −7.43070 | + | 38.9218i | −0.247415 | + | 1.29595i | ||||
\(903\) | −8.28517 | − | 24.8822i | −0.275713 | − | 0.828028i | ||||
\(904\) | 17.9771 | − | 11.1725i | 0.597910 | − | 0.371592i | ||||
\(905\) | 1.87839 | + | 2.35543i | 0.0624398 | + | 0.0782970i | ||||
\(906\) | 14.8762 | + | 11.0170i | 0.494230 | + | 0.366015i | ||||
\(907\) | 0.00210864 | + | 0.00437864i | 7.00163e−5 | + | 0.000145390i | 0.901004 | − | 0.433811i | \(-0.142831\pi\) |
−0.900934 | + | 0.433956i | \(0.857117\pi\) | |||||||
\(908\) | 40.7448 | − | 2.91873i | 1.35216 | − | 0.0968614i | ||||
\(909\) | 13.8625 | − | 11.0550i | 0.459791 | − | 0.366671i | ||||
\(910\) | −5.71938 | − | 42.8190i | −0.189596 | − | 1.41943i | ||||
\(911\) | 21.6568 | + | 17.2707i | 0.717521 | + | 0.572204i | 0.912733 | − | 0.408557i | \(-0.133968\pi\) |
−0.195212 | + | 0.980761i | \(0.562539\pi\) | |||||||
\(912\) | 8.12002 | + | 21.0963i | 0.268881 | + | 0.698569i | ||||
\(913\) | − | 15.5523i | − | 0.514707i | ||||||
\(914\) | −8.42365 | + | 44.1229i | −0.278630 | + | 1.45946i | ||||
\(915\) | −0.772824 | + | 3.38596i | −0.0255488 | + | 0.111937i | ||||
\(916\) | 0.445897 | + | 0.0687082i | 0.0147329 | + | 0.00227018i | ||||
\(917\) | 1.44080 | + | 14.8025i | 0.0475795 | + | 0.488822i | ||||
\(918\) | 0.0378088 | + | 1.05696i | 0.00124787 | + | 0.0348847i | ||||
\(919\) | −34.1168 | − | 27.2072i | −1.12541 | − | 0.897483i | −0.129841 | − | 0.991535i | \(-0.541447\pi\) |
−0.995567 | + | 0.0940514i | \(0.970018\pi\) | |||||||
\(920\) | −32.4110 | + | 51.0215i | −1.06856 | + | 1.68213i | ||||
\(921\) | 4.71395 | − | 20.6531i | 0.155330 | − | 0.680544i | ||||
\(922\) | 4.81164 | + | 3.56338i | 0.158463 | + | 0.117354i | ||||
\(923\) | −2.73679 | − | 11.9907i | −0.0900827 | − | 0.394678i | ||||
\(924\) | 12.4737 | − | 2.12248i | 0.410356 | − | 0.0698243i | ||||
\(925\) | −1.40400 | + | 6.15134i | −0.0461634 | + | 0.202255i | ||||
\(926\) | 20.1400 | − | 17.2743i | 0.661841 | − | 0.567670i | ||||
\(927\) | −2.19670 | − | 2.75457i | −0.0721491 | − | 0.0904721i | ||||
\(928\) | −5.50503 | + | 10.2120i | −0.180712 | + | 0.335224i | ||||
\(929\) | 26.2768 | − | 54.5644i | 0.862114 | − | 1.79020i | 0.328383 | − | 0.944545i | \(-0.393496\pi\) |
0.533732 | − | 0.845654i | \(-0.320789\pi\) | |||||||
\(930\) | 0.418383 | + | 0.794779i | 0.0137193 | + | 0.0260618i | ||||
\(931\) | −31.6624 | + | 23.7149i | −1.03769 | + | 0.777226i | ||||
\(932\) | −1.45628 | + | 2.12095i | −0.0477019 | + | 0.0694740i | ||||
\(933\) | 18.9578 | + | 9.12959i | 0.620650 | + | 0.298889i | ||||
\(934\) | −5.29908 | − | 6.17816i | −0.173391 | − | 0.202155i | ||||
\(935\) | −3.69046 | + | 2.94304i | −0.120691 | + | 0.0962479i | ||||
\(936\) | −1.32453 | − | 12.3004i | −0.0432937 | − | 0.402053i | ||||
\(937\) | −15.5567 | − | 3.55071i | −0.508215 | − | 0.115997i | −0.0392778 | − | 0.999228i | \(-0.512506\pi\) |
−0.468937 | + | 0.883232i | \(0.655363\pi\) | |||||||
\(938\) | −12.9407 | − | 34.6758i | −0.422530 | − | 1.13220i | ||||
\(939\) | 17.4976 | − | 3.99370i | 0.571011 | − | 0.130330i | ||||
\(940\) | 17.0677 | + | 2.62995i | 0.556686 | + | 0.0857795i | ||||
\(941\) | 45.4140 | + | 10.3655i | 1.48045 | + | 0.337904i | 0.885040 | − | 0.465515i | \(-0.154131\pi\) |
0.595414 | + | 0.803419i | \(0.296988\pi\) | |||||||
\(942\) | −0.158353 | − | 4.42680i | −0.00515941 | − | 0.144233i | ||||
\(943\) | 59.1498 | − | 74.1714i | 1.92618 | − | 2.41535i | ||||
\(944\) | 0.537432 | − | 6.58980i | 0.0174919 | − | 0.214480i | ||||
\(945\) | −6.55599 | − | 2.40628i | −0.213266 | − | 0.0782763i | ||||
\(946\) | 19.9491 | − | 26.9372i | 0.648600 | − | 0.875805i | ||||
\(947\) | 22.4986 | + | 5.13516i | 0.731107 | + | 0.166870i | 0.571840 | − | 0.820365i | \(-0.306230\pi\) |
0.159267 | + | 0.987236i | \(0.449087\pi\) | |||||||
\(948\) | 12.0273 | − | 3.66668i | 0.390630 | − | 0.119088i | ||||
\(949\) | −48.1939 | −1.56444 | ||||||||
\(950\) | 13.9130 | − | 7.32400i | 0.451398 | − | 0.237622i | ||||
\(951\) | 9.83533 | − | 12.3331i | 0.318933 | − | 0.399929i | ||||
\(952\) | −5.43001 | − | 1.35475i | −0.175988 | − | 0.0439077i | ||||
\(953\) | 15.2751 | + | 19.1543i | 0.494808 | + | 0.620469i | 0.965049 | − | 0.262069i | \(-0.0844047\pi\) |
−0.470242 | + | 0.882538i | \(0.655833\pi\) | |||||||
\(954\) | −15.9635 | − | 6.99606i | −0.516837 | − | 0.226506i | ||||
\(955\) | 47.5514 | − | 22.8995i | 1.53873 | − | 0.741012i | ||||
\(956\) | 20.7210 | + | 3.19290i | 0.670166 | + | 0.103266i | ||||
\(957\) | −3.83406 | + | 3.05756i | −0.123938 | + | 0.0988370i | ||||
\(958\) | 24.3491 | + | 10.6711i | 0.786684 | + | 0.344767i | ||||
\(959\) | 4.13320 | + | 42.4637i | 0.133468 | + | 1.37122i | ||||
\(960\) | −13.0025 | − | 16.6386i | −0.419653 | − | 0.537009i | ||||
\(961\) | −30.9421 | −0.998132 | ||||||||
\(962\) | −9.24124 | − | 17.5551i | −0.297949 | − | 0.565998i | ||||
\(963\) | −1.40446 | − | 1.12002i | −0.0452579 | − | 0.0360920i | ||||
\(964\) | −19.7385 | + | 18.1942i | −0.635734 | + | 0.585997i | ||||
\(965\) | −11.3057 | − | 23.4765i | −0.363944 | − | 0.755737i | ||||
\(966\) | −28.7935 | − | 9.41464i | −0.926416 | − | 0.302911i | ||||
\(967\) | −1.96545 | + | 4.08129i | −0.0632045 | + | 0.131246i | −0.930178 | − | 0.367109i | \(-0.880348\pi\) |
0.866974 | + | 0.498354i | \(0.166062\pi\) | |||||||
\(968\) | −10.5121 | − | 10.6163i | −0.337873 | − | 0.341222i | ||||
\(969\) | 1.83374 | − | 3.80781i | 0.0589084 | − | 0.122324i | ||||
\(970\) | −11.1277 | − | 41.8039i | −0.357289 | − | 1.34224i | ||||
\(971\) | −18.3965 | + | 8.85927i | −0.590370 | + | 0.284307i | −0.705121 | − | 0.709087i | \(-0.749107\pi\) |
0.114751 | + | 0.993394i | \(0.463393\pi\) | |||||||
\(972\) | −1.85934 | − | 0.736799i | −0.0596382 | − | 0.0236328i | ||||
\(973\) | −21.2718 | − | 35.0223i | −0.681943 | − | 1.12276i | ||||
\(974\) | −23.8999 | + | 6.36188i | −0.765804 | + | 0.203848i | ||||
\(975\) | −8.38931 | + | 1.91481i | −0.268673 | + | 0.0613229i | ||||
\(976\) | −4.54053 | − | 2.66143i | −0.145339 | − | 0.0851904i | ||||
\(977\) | −11.3043 | − | 49.5274i | −0.361657 | − | 1.58452i | −0.748990 | − | 0.662582i | \(-0.769461\pi\) |
0.387333 | − | 0.921940i | \(-0.373396\pi\) | |||||||
\(978\) | 1.18803 | + | 33.2117i | 0.0379889 | + | 1.06199i | ||||
\(979\) | 35.4791 | 1.13392 | ||||||||
\(980\) | 21.8317 | − | 29.8156i | 0.697389 | − | 0.952425i | ||||
\(981\) | −12.7937 | −0.408472 | ||||||||
\(982\) | 1.79745 | + | 50.2483i | 0.0573590 | + | 1.60349i | ||||
\(983\) | 8.78144 | + | 38.4740i | 0.280085 | + | 1.22713i | 0.897685 | + | 0.440638i | \(0.145248\pi\) |
−0.617600 | + | 0.786492i | \(0.711895\pi\) | |||||||
\(984\) | 17.4941 | + | 28.1489i | 0.557693 | + | 0.897356i | ||||
\(985\) | 2.35991 | − | 0.538634i | 0.0751930 | − | 0.0171623i | ||||
\(986\) | 2.09604 | − | 0.557942i | 0.0667516 | − | 0.0177685i | ||||
\(987\) | 0.838449 | + | 8.61407i | 0.0266881 | + | 0.274189i | ||||
\(988\) | −18.2127 | + | 45.9603i | −0.579423 | + | 1.46219i | ||||
\(989\) | −72.3050 | + | 34.8203i | −2.29917 | + | 1.10722i | ||||
\(990\) | −2.29607 | − | 8.62576i | −0.0729740 | − | 0.274145i | ||||
\(991\) | 4.14620 | − | 8.60967i | 0.131708 | − | 0.273495i | −0.824677 | − | 0.565605i | \(-0.808643\pi\) |
0.956385 | + | 0.292109i | \(0.0943572\pi\) | |||||||
\(992\) | −1.33940 | + | 0.242043i | −0.0425260 | + | 0.00768487i | ||||
\(993\) | −11.9174 | + | 24.7467i | −0.378187 | + | 0.785313i | ||||
\(994\) | 5.41294 | − | 9.02169i | 0.171688 | − | 0.286151i | ||||
\(995\) | −0.617006 | − | 1.28123i | −0.0195604 | − | 0.0406176i | ||||
\(996\) | −8.81629 | − | 9.56457i | −0.279355 | − | 0.303065i | ||||
\(997\) | −8.45075 | − | 6.73925i | −0.267638 | − | 0.213434i | 0.480470 | − | 0.877011i | \(-0.340466\pi\) |
−0.748108 | + | 0.663577i | \(0.769038\pi\) | |||||||
\(998\) | 15.4985 | + | 29.4416i | 0.490595 | + | 0.931956i | ||||
\(999\) | −3.20717 | −0.101471 |
(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 | 588.2.x.a.559.2 | yes | 168 | |
4.3 | odd | 2 | 588.2.x.b.559.10 | yes | 168 | ||
49.27 | odd | 14 | 588.2.x.b.223.10 | yes | 168 | ||
196.27 | even | 14 | inner | 588.2.x.a.223.2 | ✓ | 168 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
588.2.x.a.223.2 | ✓ | 168 | 196.27 | even | 14 | inner | |
588.2.x.a.559.2 | yes | 168 | 1.1 | even | 1 | trivial | |
588.2.x.b.223.10 | yes | 168 | 49.27 | odd | 14 | ||
588.2.x.b.559.10 | yes | 168 | 4.3 | odd | 2 |