Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [81,2,Mod(4,81)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(81, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("81.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 81 = 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 81.g (of order \(27\), degree \(18\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.646788256372\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{27})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{27}]$ |
Embedding invariants
Embedding label | 25.8 | ||
Character | \(\chi\) | \(=\) | 81.25 |
Dual form | 81.2.g.a.13.8 |
$q$-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 \(\left(\mathbb{Z}/81\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{23}{27}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.94437 | − | 0.976500i | 1.37488 | − | 0.690490i | 0.400687 | − | 0.916215i | \(-0.368771\pi\) |
0.974191 | + | 0.225725i | \(0.0724752\pi\) | |||||||
\(3\) | −1.52821 | − | 0.815208i | −0.882314 | − | 0.470661i | ||||
\(4\) | 1.63271 | − | 2.19311i | 0.816355 | − | 1.09656i | ||||
\(5\) | −0.185416 | + | 0.619334i | −0.0829208 | + | 0.276975i | −0.989387 | − | 0.145303i | \(-0.953584\pi\) |
0.906466 | + | 0.422278i | \(0.138769\pi\) | |||||||
\(6\) | −3.76746 | − | 0.0927672i | −1.53806 | − | 0.0378720i | ||||
\(7\) | −0.724564 | + | 1.67973i | −0.273860 | + | 0.634878i | −0.998529 | − | 0.0542188i | \(-0.982733\pi\) |
0.724670 | + | 0.689097i | \(0.241992\pi\) | |||||||
\(8\) | 0.277373 | − | 1.57306i | 0.0980662 | − | 0.556161i | ||||
\(9\) | 1.67087 | + | 2.49162i | 0.556957 | + | 0.830541i | ||||
\(10\) | 0.244261 | + | 1.38527i | 0.0772422 | + | 0.438062i | ||||
\(11\) | −1.17723 | − | 0.279008i | −0.354948 | − | 0.0841242i | 0.0492736 | − | 0.998785i | \(-0.484309\pi\) |
−0.404222 | + | 0.914661i | \(0.632458\pi\) | |||||||
\(12\) | −4.28297 | + | 2.02054i | −1.23639 | + | 0.583280i | ||||
\(13\) | 4.45604 | − | 2.93078i | 1.23588 | − | 0.812853i | 0.248107 | − | 0.968733i | \(-0.420191\pi\) |
0.987776 | + | 0.155879i | \(0.0498211\pi\) | |||||||
\(14\) | 0.231433 | + | 3.97355i | 0.0618531 | + | 1.06198i | ||||
\(15\) | 0.788242 | − | 0.795322i | 0.203523 | − | 0.205351i | ||||
\(16\) | 0.571538 | + | 1.90907i | 0.142885 | + | 0.477268i | ||||
\(17\) | −6.43434 | − | 2.34191i | −1.56056 | − | 0.567996i | −0.589693 | − | 0.807628i | \(-0.700751\pi\) |
−0.970864 | + | 0.239631i | \(0.922973\pi\) | |||||||
\(18\) | 5.68186 | + | 3.21304i | 1.33923 | + | 0.757320i | ||||
\(19\) | −5.97823 | + | 2.17590i | −1.37150 | + | 0.499185i | −0.919590 | − | 0.392879i | \(-0.871479\pi\) |
−0.451909 | + | 0.892064i | \(0.649257\pi\) | |||||||
\(20\) | 1.05554 | + | 1.41783i | 0.236025 | + | 0.317037i | ||||
\(21\) | 2.47662 | − | 1.97631i | 0.540442 | − | 0.431267i | ||||
\(22\) | −2.56142 | + | 0.607068i | −0.546097 | + | 0.129427i | ||||
\(23\) | −1.23445 | − | 2.86177i | −0.257400 | − | 0.596719i | 0.739691 | − | 0.672947i | \(-0.234972\pi\) |
−0.997090 | + | 0.0762275i | \(0.975712\pi\) | |||||||
\(24\) | −1.70626 | + | 2.17786i | −0.348288 | + | 0.444553i | ||||
\(25\) | 3.82824 | + | 2.51788i | 0.765649 | + | 0.503575i | ||||
\(26\) | 5.80229 | − | 10.0499i | 1.13792 | − | 1.97094i | ||||
\(27\) | −0.522256 | − | 5.16984i | −0.100508 | − | 0.994936i | ||||
\(28\) | 2.50083 | + | 4.33156i | 0.472612 | + | 0.818588i | ||||
\(29\) | 0.342261 | − | 5.87639i | 0.0635562 | − | 1.09122i | −0.804242 | − | 0.594301i | \(-0.797429\pi\) |
0.867799 | − | 0.496916i | \(-0.165534\pi\) | |||||||
\(30\) | 0.756004 | − | 2.31612i | 0.138027 | − | 0.422864i | ||||
\(31\) | 2.75457 | + | 0.321963i | 0.494735 | + | 0.0578262i | 0.359802 | − | 0.933029i | \(-0.382844\pi\) |
0.134932 | + | 0.990855i | \(0.456918\pi\) | |||||||
\(32\) | 5.16779 | + | 5.47754i | 0.913546 | + | 0.968302i | ||||
\(33\) | 1.57161 | + | 1.38607i | 0.273582 | + | 0.241284i | ||||
\(34\) | −14.7976 | + | 1.72959i | −2.53777 | + | 0.296623i | ||||
\(35\) | −0.905967 | − | 0.760197i | −0.153136 | − | 0.128497i | ||||
\(36\) | 8.19245 | + | 0.403694i | 1.36541 | + | 0.0672824i | ||||
\(37\) | −1.09453 | + | 0.918418i | −0.179939 | + | 0.150987i | −0.728309 | − | 0.685249i | \(-0.759693\pi\) |
0.548369 | + | 0.836236i | \(0.315249\pi\) | |||||||
\(38\) | −9.49913 | + | 10.0685i | −1.54096 | + | 1.63332i | ||||
\(39\) | −9.19898 | + | 0.846262i | −1.47302 | + | 0.135510i | ||||
\(40\) | 0.922821 | + | 0.463458i | 0.145911 | + | 0.0732791i | ||||
\(41\) | 0.996758 | + | 0.500591i | 0.155667 | + | 0.0781791i | 0.524927 | − | 0.851147i | \(-0.324092\pi\) |
−0.369260 | + | 0.929326i | \(0.620389\pi\) | |||||||
\(42\) | 2.88559 | − | 6.26110i | 0.445257 | − | 0.966109i | ||||
\(43\) | 6.61155 | − | 7.00783i | 1.00825 | − | 1.06868i | 0.0106171 | − | 0.999944i | \(-0.496620\pi\) |
0.997635 | − | 0.0687407i | \(-0.0218981\pi\) | |||||||
\(44\) | −2.53397 | + | 2.12625i | −0.382010 | + | 0.320545i | ||||
\(45\) | −1.85295 | + | 0.572840i | −0.276222 | + | 0.0853939i | ||||
\(46\) | −5.19473 | − | 4.35890i | −0.765922 | − | 0.642685i | ||||
\(47\) | −6.06108 | + | 0.708439i | −0.884099 | + | 0.103336i | −0.546011 | − | 0.837778i | \(-0.683854\pi\) |
−0.338088 | + | 0.941114i | \(0.609780\pi\) | |||||||
\(48\) | 0.682857 | − | 3.38339i | 0.0985620 | − | 0.488350i | ||||
\(49\) | 2.50720 | + | 2.65747i | 0.358171 | + | 0.379639i | ||||
\(50\) | 9.90223 | + | 1.15740i | 1.40039 | + | 0.163682i | ||||
\(51\) | 7.92390 | + | 8.82426i | 1.10957 | + | 1.23564i | ||||
\(52\) | 0.847890 | − | 14.5577i | 0.117581 | − | 2.01879i | ||||
\(53\) | 4.26135 | + | 7.38088i | 0.585342 | + | 1.01384i | 0.994833 | + | 0.101528i | \(0.0323731\pi\) |
−0.409491 | + | 0.912314i | \(0.634294\pi\) | |||||||
\(54\) | −6.06381 | − | 9.54211i | −0.825180 | − | 1.29852i | ||||
\(55\) | 0.391077 | − | 0.677365i | 0.0527328 | − | 0.0913359i | ||||
\(56\) | 2.44134 | + | 1.60569i | 0.326238 | + | 0.214570i | ||||
\(57\) | 10.9098 | + | 1.54827i | 1.44504 | + | 0.205073i | ||||
\(58\) | −5.07281 | − | 11.7601i | −0.666093 | − | 1.54418i | ||||
\(59\) | 2.03183 | − | 0.481552i | 0.264521 | − | 0.0626927i | −0.0962148 | − | 0.995361i | \(-0.530674\pi\) |
0.360736 | + | 0.932668i | \(0.382525\pi\) | |||||||
\(60\) | −0.457257 | − | 3.02723i | −0.0590316 | − | 0.390814i | ||||
\(61\) | −2.14382 | − | 2.87965i | −0.274488 | − | 0.368702i | 0.643407 | − | 0.765524i | \(-0.277520\pi\) |
−0.917895 | + | 0.396822i | \(0.870113\pi\) | |||||||
\(62\) | 5.67029 | − | 2.06382i | 0.720128 | − | 0.262105i | ||||
\(63\) | −5.39591 | + | 1.00127i | −0.679820 | + | 0.126148i | ||||
\(64\) | 11.6517 | + | 4.24088i | 1.45646 | + | 0.530110i | ||||
\(65\) | 0.988911 | + | 3.30319i | 0.122659 | + | 0.409711i | ||||
\(66\) | 4.40929 | + | 1.16036i | 0.542746 | + | 0.142831i | ||||
\(67\) | −0.0709235 | − | 1.21771i | −0.00866469 | − | 0.148767i | −0.999866 | − | 0.0164003i | \(-0.994779\pi\) |
0.991201 | − | 0.132367i | \(-0.0422576\pi\) | |||||||
\(68\) | −15.6415 | + | 10.2876i | −1.89681 | + | 1.24755i | ||||
\(69\) | −0.446439 | + | 5.37972i | −0.0537450 | + | 0.647642i | ||||
\(70\) | −2.50387 | − | 0.593428i | −0.299270 | − | 0.0709282i | ||||
\(71\) | 1.41528 | + | 8.02646i | 0.167963 | + | 0.952565i | 0.945957 | + | 0.324293i | \(0.105126\pi\) |
−0.777994 | + | 0.628272i | \(0.783763\pi\) | |||||||
\(72\) | 4.38293 | − | 1.93727i | 0.516533 | − | 0.228310i | ||||
\(73\) | 1.11524 | − | 6.32482i | 0.130529 | − | 0.740264i | −0.847341 | − | 0.531049i | \(-0.821798\pi\) |
0.977870 | − | 0.209215i | \(-0.0670909\pi\) | |||||||
\(74\) | −1.23133 | + | 2.85455i | −0.143140 | + | 0.331835i | ||||
\(75\) | −3.79778 | − | 6.96867i | −0.438530 | − | 0.804672i | ||||
\(76\) | −4.98873 | + | 16.6635i | −0.572247 | + | 1.91144i | ||||
\(77\) | 1.32164 | − | 1.77527i | 0.150614 | − | 0.202310i | ||||
\(78\) | −17.0599 | + | 10.6283i | −1.93165 | + | 1.20341i | ||||
\(79\) | −12.7417 | + | 6.39915i | −1.43356 | + | 0.719960i | −0.984800 | − | 0.173693i | \(-0.944430\pi\) |
−0.448759 | + | 0.893653i | \(0.648134\pi\) | |||||||
\(80\) | −1.28832 | −0.144039 | ||||||||
\(81\) | −3.41638 | + | 8.32637i | −0.379598 | + | 0.925152i | ||||
\(82\) | 2.42689 | 0.268006 | ||||||||
\(83\) | 6.00472 | − | 3.01569i | 0.659104 | − | 0.331015i | −0.0876146 | − | 0.996154i | \(-0.527924\pi\) |
0.746719 | + | 0.665140i | \(0.231628\pi\) | |||||||
\(84\) | −0.290674 | − | 8.65824i | −0.0317152 | − | 0.944692i | ||||
\(85\) | 2.64346 | − | 3.55078i | 0.286723 | − | 0.385136i | ||||
\(86\) | 6.01216 | − | 20.0820i | 0.648308 | − | 2.16550i | ||||
\(87\) | −5.31353 | + | 8.70136i | −0.569670 | + | 0.932884i | ||||
\(88\) | −0.765429 | + | 1.77446i | −0.0815950 | + | 0.189158i | ||||
\(89\) | −2.70557 | + | 15.3441i | −0.286790 | + | 1.62647i | 0.412030 | + | 0.911170i | \(0.364820\pi\) |
−0.698820 | + | 0.715297i | \(0.746291\pi\) | |||||||
\(90\) | −3.04345 | + | 2.92322i | −0.320808 | + | 0.308135i | ||||
\(91\) | 1.69423 | + | 9.60848i | 0.177604 | + | 1.00724i | ||||
\(92\) | −8.29166 | − | 1.96516i | −0.864465 | − | 0.204882i | ||||
\(93\) | −3.94710 | − | 2.73757i | −0.409295 | − | 0.283873i | ||||
\(94\) | −11.0932 | + | 7.29611i | −1.14418 | + | 0.752536i | ||||
\(95\) | −0.239145 | − | 4.10597i | −0.0245358 | − | 0.421263i | ||||
\(96\) | −3.43215 | − | 12.5837i | −0.350293 | − | 1.28432i | ||||
\(97\) | 1.06957 | + | 3.57262i | 0.108599 | + | 0.362745i | 0.994963 | − | 0.100244i | \(-0.0319622\pi\) |
−0.886364 | + | 0.462989i | \(0.846777\pi\) | |||||||
\(98\) | 7.46994 | + | 2.71884i | 0.754578 | + | 0.274644i | ||||
\(99\) | −1.27181 | − | 3.39940i | −0.127822 | − | 0.341652i | ||||
\(100\) | 11.7724 | − | 4.28480i | 1.17724 | − | 0.428480i | ||||
\(101\) | −2.77713 | − | 3.73034i | −0.276335 | − | 0.371182i | 0.642190 | − | 0.766546i | \(-0.278026\pi\) |
−0.918525 | + | 0.395363i | \(0.870619\pi\) | |||||||
\(102\) | 24.0239 | + | 9.41995i | 2.37872 | + | 0.932714i | ||||
\(103\) | 5.02919 | − | 1.19194i | 0.495541 | − | 0.117445i | 0.0247562 | − | 0.999694i | \(-0.492119\pi\) |
0.470785 | + | 0.882248i | \(0.343971\pi\) | |||||||
\(104\) | −3.37432 | − | 7.82254i | −0.330879 | − | 0.767063i | ||||
\(105\) | 0.764793 | + | 1.90029i | 0.0746361 | + | 0.185450i | ||||
\(106\) | 15.4931 | + | 10.1900i | 1.50482 | + | 0.989737i | ||||
\(107\) | 6.49528 | − | 11.2502i | 0.627922 | − | 1.08759i | −0.360046 | − | 0.932935i | \(-0.617239\pi\) |
0.987968 | − | 0.154659i | \(-0.0494278\pi\) | |||||||
\(108\) | −12.1907 | − | 7.29549i | −1.17305 | − | 0.702008i | ||||
\(109\) | −0.888686 | − | 1.53925i | −0.0851207 | − | 0.147433i | 0.820322 | − | 0.571902i | \(-0.193794\pi\) |
−0.905443 | + | 0.424469i | \(0.860461\pi\) | |||||||
\(110\) | 0.0989518 | − | 1.69894i | 0.00943468 | − | 0.161987i | ||||
\(111\) | 2.42138 | − | 0.511271i | 0.229827 | − | 0.0485277i | ||||
\(112\) | −3.62084 | − | 0.423215i | −0.342137 | − | 0.0399901i | ||||
\(113\) | −9.53060 | − | 10.1018i | −0.896563 | − | 0.950302i | 0.102449 | − | 0.994738i | \(-0.467332\pi\) |
−0.999012 | + | 0.0444366i | \(0.985851\pi\) | |||||||
\(114\) | 22.7246 | − | 7.64303i | 2.12835 | − | 0.715835i | ||||
\(115\) | 2.00128 | − | 0.233916i | 0.186620 | − | 0.0218127i | ||||
\(116\) | −12.3288 | − | 10.3451i | −1.14470 | − | 0.960514i | ||||
\(117\) | 14.7479 | + | 6.20581i | 1.36344 | + | 0.573728i | ||||
\(118\) | 3.48039 | − | 2.92040i | 0.320396 | − | 0.268844i | ||||
\(119\) | 8.59586 | − | 9.11108i | 0.787982 | − | 0.835212i | ||||
\(120\) | −1.03245 | − | 1.46055i | −0.0942495 | − | 0.133330i | ||||
\(121\) | −8.52194 | − | 4.27988i | −0.774722 | − | 0.389080i | ||||
\(122\) | −6.98037 | − | 3.50567i | −0.631973 | − | 0.317389i | ||||
\(123\) | −1.11517 | − | 1.57757i | −0.100552 | − | 0.142245i | ||||
\(124\) | 5.20351 | − | 5.51539i | 0.467289 | − | 0.495297i | ||||
\(125\) | −4.74544 | + | 3.98190i | −0.424445 | + | 0.356152i | ||||
\(126\) | −9.51390 | + | 7.21594i | −0.847566 | + | 0.642847i | ||||
\(127\) | −8.72949 | − | 7.32491i | −0.774617 | − | 0.649981i | 0.167270 | − | 0.985911i | \(-0.446505\pi\) |
−0.941887 | + | 0.335930i | \(0.890949\pi\) | |||||||
\(128\) | 11.8372 | − | 1.38357i | 1.04627 | − | 0.122291i | ||||
\(129\) | −15.8167 | + | 5.31967i | −1.39258 | + | 0.468371i | ||||
\(130\) | 5.14838 | + | 5.45696i | 0.451543 | + | 0.478607i | ||||
\(131\) | 14.4822 | + | 1.69272i | 1.26531 | + | 0.147894i | 0.722151 | − | 0.691735i | \(-0.243153\pi\) |
0.543160 | + | 0.839629i | \(0.317228\pi\) | |||||||
\(132\) | 5.60578 | − | 1.18366i | 0.487921 | − | 0.103024i | ||||
\(133\) | 0.676693 | − | 11.6184i | 0.0586768 | − | 1.00744i | ||||
\(134\) | −1.32700 | − | 2.29842i | −0.114635 | − | 0.198554i | ||||
\(135\) | 3.29869 | + | 0.635123i | 0.283906 | + | 0.0546627i | ||||
\(136\) | −5.46868 | + | 9.47202i | −0.468935 | + | 0.812219i | ||||
\(137\) | 0.309806 | + | 0.203762i | 0.0264685 | + | 0.0174086i | 0.562674 | − | 0.826679i | \(-0.309773\pi\) |
−0.536206 | + | 0.844087i | \(0.680143\pi\) | |||||||
\(138\) | 4.38525 | + | 10.8961i | 0.373297 | + | 0.927539i | ||||
\(139\) | 5.93229 | + | 13.7526i | 0.503170 | + | 1.16648i | 0.960776 | + | 0.277325i | \(0.0894479\pi\) |
−0.457606 | + | 0.889155i | \(0.651293\pi\) | |||||||
\(140\) | −3.14638 | + | 0.745705i | −0.265917 | + | 0.0630236i | ||||
\(141\) | 9.84015 | + | 3.85840i | 0.828690 | + | 0.324936i | ||||
\(142\) | 10.5897 | + | 14.2244i | 0.888665 | + | 1.19368i | ||||
\(143\) | −6.06349 | + | 2.20693i | −0.507055 | + | 0.184553i | ||||
\(144\) | −3.80172 | + | 4.61387i | −0.316810 | + | 0.384489i | ||||
\(145\) | 3.57599 | + | 1.30155i | 0.296970 | + | 0.108088i | ||||
\(146\) | −4.00775 | − | 13.3868i | −0.331684 | − | 1.10790i | ||||
\(147\) | −1.66514 | − | 6.10507i | −0.137338 | − | 0.503538i | ||||
\(148\) | 0.227145 | + | 3.89993i | 0.0186712 | + | 0.320572i | ||||
\(149\) | 0.835701 | − | 0.549649i | 0.0684633 | − | 0.0450290i | −0.514816 | − | 0.857301i | \(-0.672140\pi\) |
0.583279 | + | 0.812272i | \(0.301769\pi\) | |||||||
\(150\) | −14.1892 | − | 9.84114i | −1.15854 | − | 0.803526i | ||||
\(151\) | 0.0191032 | + | 0.00452754i | 0.00155460 | + | 0.000368446i | 0.231393 | − | 0.972860i | \(-0.425672\pi\) |
−0.229838 | + | 0.973229i | \(0.573820\pi\) | |||||||
\(152\) | 1.76462 | + | 10.0076i | 0.143129 | + | 0.811727i | ||||
\(153\) | −4.91580 | − | 19.9450i | −0.397419 | − | 1.61246i | ||||
\(154\) | 0.836205 | − | 4.74235i | 0.0673833 | − | 0.382150i | ||||
\(155\) | −0.710144 | + | 1.64630i | −0.0570402 | + | 0.132234i | ||||
\(156\) | −13.1633 | + | 21.5561i | −1.05391 | + | 1.72587i | ||||
\(157\) | 2.23838 | − | 7.47669i | 0.178642 | − | 0.596705i | −0.821025 | − | 0.570892i | \(-0.806597\pi\) |
0.999667 | − | 0.0258129i | \(-0.00821741\pi\) | |||||||
\(158\) | −18.5259 | + | 24.8846i | −1.47384 | + | 1.97972i | ||||
\(159\) | −0.495303 | − | 14.7535i | −0.0392801 | − | 1.17003i | ||||
\(160\) | −4.35062 | + | 2.18497i | −0.343947 | + | 0.172737i | ||||
\(161\) | 5.70142 | 0.449335 | ||||||||
\(162\) | 1.48799 | + | 19.5256i | 0.116907 | + | 1.53408i | ||||
\(163\) | −15.3947 | −1.20581 | −0.602905 | − | 0.797813i | \(-0.705990\pi\) | ||||
−0.602905 | + | 0.797813i | \(0.705990\pi\) | |||||||
\(164\) | 2.72527 | − | 1.36868i | 0.212808 | − | 0.106876i | ||||
\(165\) | −1.14984 | + | 0.716350i | −0.0895152 | + | 0.0557677i | ||||
\(166\) | 8.73060 | − | 11.7272i | 0.677626 | − | 0.910209i | ||||
\(167\) | −1.04821 | + | 3.50128i | −0.0811132 | + | 0.270937i | −0.988919 | − | 0.148453i | \(-0.952571\pi\) |
0.907806 | + | 0.419390i | \(0.137756\pi\) | |||||||
\(168\) | −2.42191 | − | 4.44404i | −0.186855 | − | 0.342866i | ||||
\(169\) | 6.11777 | − | 14.1826i | 0.470597 | − | 1.09097i | ||||
\(170\) | 1.67253 | − | 9.48537i | 0.128277 | − | 0.727494i | ||||
\(171\) | −15.4104 | − | 11.2598i | −1.17846 | − | 0.861062i | ||||
\(172\) | −4.57421 | − | 25.9416i | −0.348780 | − | 1.97803i | ||||
\(173\) | 12.9245 | + | 3.06317i | 0.982635 | + | 0.232889i | 0.690376 | − | 0.723450i | \(-0.257445\pi\) |
0.292259 | + | 0.956339i | \(0.405593\pi\) | |||||||
\(174\) | −1.83459 | + | 22.1073i | −0.139080 | + | 1.67595i | ||||
\(175\) | −7.00316 | + | 4.60605i | −0.529389 | + | 0.348185i | ||||
\(176\) | −0.140185 | − | 2.40688i | −0.0105668 | − | 0.181425i | ||||
\(177\) | −3.49763 | − | 0.920449i | −0.262898 | − | 0.0691852i | ||||
\(178\) | 9.72284 | + | 32.4765i | 0.728758 | + | 2.43422i | ||||
\(179\) | −0.392738 | − | 0.142945i | −0.0293546 | − | 0.0106842i | 0.327301 | − | 0.944920i | \(-0.393861\pi\) |
−0.356656 | + | 0.934236i | \(0.616083\pi\) | |||||||
\(180\) | −1.76904 | + | 4.99902i | −0.131856 | + | 0.372605i | ||||
\(181\) | −19.5881 | + | 7.12947i | −1.45597 | + | 0.529929i | −0.944252 | − | 0.329225i | \(-0.893213\pi\) |
−0.511717 | + | 0.859154i | \(0.670990\pi\) | |||||||
\(182\) | 12.6769 | + | 17.0280i | 0.939675 | + | 1.26220i | ||||
\(183\) | 0.928701 | + | 6.14839i | 0.0686516 | + | 0.454502i | ||||
\(184\) | −4.84413 | + | 1.14808i | −0.357114 | + | 0.0846376i | ||||
\(185\) | −0.365864 | − | 0.848169i | −0.0268989 | − | 0.0623586i | ||||
\(186\) | −10.3479 | − | 1.46852i | −0.758742 | − | 0.107677i | ||||
\(187\) | 6.92128 | + | 4.55220i | 0.506134 | + | 0.332890i | ||||
\(188\) | −8.34230 | + | 14.4493i | −0.608425 | + | 1.05382i | ||||
\(189\) | 9.06234 | + | 2.86863i | 0.659188 | + | 0.208662i | ||||
\(190\) | −4.47446 | − | 7.75000i | −0.324612 | − | 0.562244i | ||||
\(191\) | −0.400574 | + | 6.87758i | −0.0289845 | + | 0.497645i | 0.952310 | + | 0.305132i | \(0.0987006\pi\) |
−0.981295 | + | 0.192512i | \(0.938336\pi\) | |||||||
\(192\) | −14.3491 | − | 15.9795i | −1.03556 | − | 1.15322i | ||||
\(193\) | 8.68725 | + | 1.01539i | 0.625322 | + | 0.0730897i | 0.422852 | − | 0.906199i | \(-0.361029\pi\) |
0.202470 | + | 0.979288i | \(0.435103\pi\) | |||||||
\(194\) | 5.56831 | + | 5.90207i | 0.399782 | + | 0.423744i | ||||
\(195\) | 1.18152 | − | 5.85415i | 0.0846106 | − | 0.419225i | ||||
\(196\) | 9.92166 | − | 1.15968i | 0.708690 | − | 0.0828339i | ||||
\(197\) | −6.47094 | − | 5.42976i | −0.461035 | − | 0.386855i | 0.382476 | − | 0.923965i | \(-0.375071\pi\) |
−0.843512 | + | 0.537111i | \(0.819516\pi\) | |||||||
\(198\) | −5.79239 | − | 5.36777i | −0.411647 | − | 0.381471i | ||||
\(199\) | 9.66790 | − | 8.11233i | 0.685339 | − | 0.575068i | −0.232222 | − | 0.972663i | \(-0.574599\pi\) |
0.917561 | + | 0.397595i | \(0.130155\pi\) | |||||||
\(200\) | 5.02262 | − | 5.32367i | 0.355153 | − | 0.376440i | ||||
\(201\) | −0.884301 | + | 1.91874i | −0.0623738 | + | 0.135337i | ||||
\(202\) | −9.04245 | − | 4.54129i | −0.636225 | − | 0.319524i | ||||
\(203\) | 9.62275 | + | 4.83272i | 0.675384 | + | 0.339191i | ||||
\(204\) | 32.2900 | − | 2.97053i | 2.26075 | − | 0.207979i | ||||
\(205\) | −0.494848 | + | 0.524508i | −0.0345617 | + | 0.0366333i | ||||
\(206\) | 8.61468 | − | 7.22858i | 0.600213 | − | 0.503639i | ||||
\(207\) | 5.06784 | − | 7.85741i | 0.352239 | − | 0.546128i | ||||
\(208\) | 8.14187 | + | 6.83184i | 0.564537 | + | 0.473703i | ||||
\(209\) | 7.64484 | − | 0.893553i | 0.528804 | − | 0.0618084i | ||||
\(210\) | 3.34268 | + | 2.94806i | 0.230667 | + | 0.203435i | ||||
\(211\) | 3.89505 | + | 4.12851i | 0.268146 | + | 0.284218i | 0.847429 | − | 0.530908i | \(-0.178149\pi\) |
−0.579283 | + | 0.815126i | \(0.696668\pi\) | |||||||
\(212\) | 23.1446 | + | 2.70522i | 1.58958 | + | 0.185795i | ||||
\(213\) | 4.38038 | − | 13.4199i | 0.300139 | − | 0.919515i | ||||
\(214\) | 1.64346 | − | 28.2171i | 0.112345 | − | 1.92888i | ||||
\(215\) | 3.11430 | + | 5.39413i | 0.212393 | + | 0.367876i | ||||
\(216\) | −8.27733 | − | 0.612434i | −0.563201 | − | 0.0416709i | ||||
\(217\) | −2.53667 | + | 4.39364i | −0.172200 | + | 0.298260i | ||||
\(218\) | −3.23101 | − | 2.12507i | −0.218832 | − | 0.143928i | ||||
\(219\) | −6.86036 | + | 8.75652i | −0.463580 | + | 0.591711i | ||||
\(220\) | −0.847021 | − | 1.96362i | −0.0571062 | − | 0.132387i | ||||
\(221\) | −35.5353 | + | 8.42202i | −2.39036 | + | 0.566527i | ||||
\(222\) | 4.20880 | − | 3.35857i | 0.282476 | − | 0.225413i | ||||
\(223\) | 4.49831 | + | 6.04228i | 0.301229 | + | 0.404621i | 0.926805 | − | 0.375542i | \(-0.122543\pi\) |
−0.625576 | + | 0.780163i | \(0.715136\pi\) | |||||||
\(224\) | −12.9452 | + | 4.71166i | −0.864936 | + | 0.314811i | ||||
\(225\) | 0.122904 | + | 13.7456i | 0.00819361 | + | 0.916373i | ||||
\(226\) | −28.3955 | − | 10.3351i | −1.88884 | − | 0.687481i | ||||
\(227\) | 3.91290 | + | 13.0700i | 0.259708 | + | 0.867485i | 0.984027 | + | 0.178020i | \(0.0569692\pi\) |
−0.724319 | + | 0.689465i | \(0.757846\pi\) | |||||||
\(228\) | 21.2081 | − | 21.3986i | 1.40454 | − | 1.41715i | ||||
\(229\) | −0.929998 | − | 15.9675i | −0.0614560 | − | 1.05516i | −0.878241 | − | 0.478218i | \(-0.841283\pi\) |
0.816785 | − | 0.576942i | \(-0.195754\pi\) | |||||||
\(230\) | 3.66280 | − | 2.40906i | 0.241518 | − | 0.158849i | ||||
\(231\) | −3.46695 | + | 1.63558i | −0.228109 | + | 0.107613i | ||||
\(232\) | −9.14898 | − | 2.16835i | −0.600660 | − | 0.142359i | ||||
\(233\) | −0.930605 | − | 5.27772i | −0.0609660 | − | 0.345755i | −0.999998 | − | 0.00192589i | \(-0.999387\pi\) |
0.939032 | − | 0.343829i | \(-0.111724\pi\) | |||||||
\(234\) | 34.7353 | − | 2.33490i | 2.27072 | − | 0.152637i | ||||
\(235\) | 0.685064 | − | 3.88519i | 0.0446886 | − | 0.253442i | ||||
\(236\) | 2.26129 | − | 5.24226i | 0.147197 | − | 0.341242i | ||||
\(237\) | 24.6887 | + | 0.607917i | 1.60371 | + | 0.0394884i | ||||
\(238\) | 7.81658 | − | 26.1092i | 0.506673 | − | 1.69241i | ||||
\(239\) | −9.64028 | + | 12.9491i | −0.623578 | + | 0.837611i | −0.995897 | − | 0.0904942i | \(-0.971155\pi\) |
0.372319 | + | 0.928105i | \(0.378563\pi\) | |||||||
\(240\) | 1.96884 | + | 1.05025i | 0.127088 | + | 0.0677935i | ||||
\(241\) | −20.9003 | + | 10.4965i | −1.34630 | + | 0.676139i | −0.968329 | − | 0.249677i | \(-0.919676\pi\) |
−0.377975 | + | 0.925816i | \(0.623379\pi\) | |||||||
\(242\) | −20.7491 | −1.33380 | ||||||||
\(243\) | 12.0087 | − | 9.93940i | 0.770357 | − | 0.637613i | ||||
\(244\) | −9.81564 | −0.628382 | ||||||||
\(245\) | −2.11074 | + | 1.06005i | −0.134850 | + | 0.0677243i | ||||
\(246\) | −3.70881 | − | 1.97842i | −0.236465 | − | 0.126140i | ||||
\(247\) | −20.2621 | + | 27.2168i | −1.28925 | + | 1.73176i | ||||
\(248\) | 1.27051 | − | 4.24380i | 0.0806774 | − | 0.269481i | ||||
\(249\) | −11.6349 | − | 0.286489i | −0.737333 | − | 0.0181555i | ||||
\(250\) | −5.33858 | + | 12.3762i | −0.337641 | + | 0.782740i | ||||
\(251\) | 4.21745 | − | 23.9183i | 0.266203 | − | 1.50971i | −0.499385 | − | 0.866380i | \(-0.666441\pi\) |
0.765588 | − | 0.643331i | \(-0.222448\pi\) | |||||||
\(252\) | −6.61406 | + | 13.4686i | −0.416646 | + | 0.848442i | ||||
\(253\) | 0.654768 | + | 3.71337i | 0.0411649 | + | 0.233458i | ||||
\(254\) | −24.1261 | − | 5.71800i | −1.51381 | − | 0.358779i | ||||
\(255\) | −6.93439 | + | 3.27138i | −0.434248 | + | 0.204862i | ||||
\(256\) | 0.945527 | − | 0.621883i | 0.0590954 | − | 0.0388677i | ||||
\(257\) | −0.560163 | − | 9.61763i | −0.0349420 | − | 0.599931i | −0.969647 | − | 0.244508i | \(-0.921374\pi\) |
0.934705 | − | 0.355423i | \(-0.115663\pi\) | |||||||
\(258\) | −25.5589 | + | 25.7884i | −1.59123 | + | 1.60552i | ||||
\(259\) | −0.749638 | − | 2.50396i | −0.0465802 | − | 0.155589i | ||||
\(260\) | 8.85887 | + | 3.22437i | 0.549404 | + | 0.199967i | ||||
\(261\) | 15.2136 | − | 8.96590i | 0.941699 | − | 0.554975i | ||||
\(262\) | 29.8116 | − | 10.8505i | 1.84177 | − | 0.670349i | ||||
\(263\) | 3.96621 | + | 5.32754i | 0.244567 | + | 0.328510i | 0.907409 | − | 0.420249i | \(-0.138057\pi\) |
−0.662842 | + | 0.748759i | \(0.730650\pi\) | |||||||
\(264\) | 2.61629 | − | 2.08777i | 0.161022 | − | 0.128494i | ||||
\(265\) | −5.36136 | + | 1.27067i | −0.329346 | + | 0.0780564i | ||||
\(266\) | −10.0296 | − | 23.2512i | −0.614954 | − | 1.42562i | ||||
\(267\) | 16.6433 | − | 21.2434i | 1.01855 | − | 1.30007i | ||||
\(268\) | −2.78637 | − | 1.83262i | −0.170205 | − | 0.111945i | ||||
\(269\) | −14.6832 | + | 25.4321i | −0.895251 | + | 1.55062i | −0.0617568 | + | 0.998091i | \(0.519670\pi\) |
−0.833494 | + | 0.552529i | \(0.813663\pi\) | |||||||
\(270\) | 7.03408 | − | 1.98626i | 0.428081 | − | 0.120880i | ||||
\(271\) | 9.43957 | + | 16.3498i | 0.573413 | + | 0.993180i | 0.996212 | + | 0.0869568i | \(0.0277142\pi\) |
−0.422799 | + | 0.906223i | \(0.638952\pi\) | |||||||
\(272\) | 0.793397 | − | 13.6221i | 0.0481067 | − | 0.825961i | ||||
\(273\) | 5.24376 | − | 16.0650i | 0.317367 | − | 0.972296i | ||||
\(274\) | 0.801351 | + | 0.0936645i | 0.0484114 | + | 0.00565848i | ||||
\(275\) | −3.80421 | − | 4.03223i | −0.229403 | − | 0.243152i | ||||
\(276\) | 11.0694 | + | 9.76261i | 0.666300 | + | 0.587640i | ||||
\(277\) | −13.9438 | + | 1.62979i | −0.837801 | + | 0.0979249i | −0.524163 | − | 0.851618i | \(-0.675622\pi\) |
−0.313638 | + | 0.949543i | \(0.601548\pi\) | |||||||
\(278\) | 24.9640 | + | 20.9473i | 1.49724 | + | 1.25633i | ||||
\(279\) | 3.80032 | + | 7.40130i | 0.227519 | + | 0.443104i | ||||
\(280\) | −1.44713 | + | 1.21428i | −0.0864824 | + | 0.0725673i | ||||
\(281\) | 15.1525 | − | 16.0607i | 0.903924 | − | 0.958103i | −0.0953791 | − | 0.995441i | \(-0.530406\pi\) |
0.999303 | + | 0.0373380i | \(0.0118878\pi\) | |||||||
\(282\) | 22.9006 | − | 2.10675i | 1.36371 | − | 0.125455i | ||||
\(283\) | 3.53563 | + | 1.77566i | 0.210172 | + | 0.105552i | 0.550771 | − | 0.834656i | \(-0.314334\pi\) |
−0.340599 | + | 0.940208i | \(0.610630\pi\) | |||||||
\(284\) | 19.9136 | + | 10.0010i | 1.18166 | + | 0.593451i | ||||
\(285\) | −2.98175 | + | 6.46975i | −0.176624 | + | 0.383235i | ||||
\(286\) | −9.63461 | + | 10.2121i | −0.569707 | + | 0.603854i | ||||
\(287\) | −1.56307 | + | 1.31157i | −0.0922652 | + | 0.0774197i | ||||
\(288\) | −5.01325 | + | 22.0285i | −0.295409 | + | 1.29804i | ||||
\(289\) | 22.8934 | + | 19.2099i | 1.34667 | + | 1.12999i | ||||
\(290\) | 8.22401 | − | 0.961249i | 0.482931 | − | 0.0564465i | ||||
\(291\) | 1.27790 | − | 6.33166i | 0.0749116 | − | 0.371168i | ||||
\(292\) | −12.0502 | − | 12.7724i | −0.705183 | − | 0.747450i | ||||
\(293\) | −7.92333 | − | 0.926104i | −0.462886 | − | 0.0541036i | −0.118546 | − | 0.992949i | \(-0.537823\pi\) |
−0.344340 | + | 0.938845i | \(0.611897\pi\) | |||||||
\(294\) | −9.19925 | − | 10.2445i | −0.536511 | − | 0.597473i | ||||
\(295\) | −0.0784927 | + | 1.34767i | −0.00457002 | + | 0.0784643i | ||||
\(296\) | 1.14114 | + | 1.97650i | 0.0663271 | + | 0.114882i | ||||
\(297\) | −0.827614 | + | 6.23180i | −0.0480231 | + | 0.361606i | ||||
\(298\) | 1.08818 | − | 1.88478i | 0.0630366 | − | 0.109183i | ||||
\(299\) | −13.8880 | − | 9.13425i | −0.803161 | − | 0.528247i | ||||
\(300\) | −21.4837 | − | 3.04886i | −1.24036 | − | 0.176026i | ||||
\(301\) | 6.98076 | + | 16.1832i | 0.402365 | + | 0.932786i | ||||
\(302\) | 0.0415649 | − | 0.00985106i | 0.00239179 | − | 0.000566865i | ||||
\(303\) | 1.20305 | + | 7.96469i | 0.0691134 | + | 0.457560i | ||||
\(304\) | −7.57072 | − | 10.1692i | −0.434211 | − | 0.583246i | ||||
\(305\) | 2.18097 | − | 0.793808i | 0.124882 | − | 0.0454533i | ||||
\(306\) | −29.0344 | − | 33.9802i | −1.65979 | − | 1.94252i | ||||
\(307\) | 1.95823 | + | 0.712736i | 0.111762 | + | 0.0406780i | 0.397296 | − | 0.917691i | \(-0.369949\pi\) |
−0.285534 | + | 0.958369i | \(0.592171\pi\) | |||||||
\(308\) | −1.73550 | − | 5.79699i | −0.0988895 | − | 0.330314i | ||||
\(309\) | −8.65735 | − | 2.27830i | −0.492500 | − | 0.129608i | ||||
\(310\) | 0.226827 | + | 3.89447i | 0.0128829 | + | 0.221191i | ||||
\(311\) | 12.5444 | − | 8.25056i | 0.711326 | − | 0.467846i | −0.141570 | − | 0.989928i | \(-0.545215\pi\) |
0.852895 | + | 0.522082i | \(0.174845\pi\) | |||||||
\(312\) | −1.22033 | + | 14.7053i | −0.0690874 | + | 0.832523i | ||||
\(313\) | 4.95368 | + | 1.17404i | 0.279998 | + | 0.0663608i | 0.368216 | − | 0.929740i | \(-0.379969\pi\) |
−0.0882173 | + | 0.996101i | \(0.528117\pi\) | |||||||
\(314\) | −2.94876 | − | 16.7232i | −0.166408 | − | 0.943747i | ||||
\(315\) | 0.380370 | − | 3.52752i | 0.0214314 | − | 0.198753i | ||||
\(316\) | −6.76955 | + | 38.3920i | −0.380817 | + | 2.15972i | ||||
\(317\) | −10.9746 | + | 25.4420i | −0.616396 | + | 1.42897i | 0.268547 | + | 0.963267i | \(0.413457\pi\) |
−0.884943 | + | 0.465700i | \(0.845803\pi\) | |||||||
\(318\) | −15.3698 | − | 28.2025i | −0.861896 | − | 1.58152i | ||||
\(319\) | −2.04248 | + | 6.82236i | −0.114357 | + | 0.381979i | ||||
\(320\) | −4.78694 | + | 6.42998i | −0.267598 | + | 0.359447i | ||||
\(321\) | −19.0974 | + | 11.8976i | −1.06591 | + | 0.664061i | ||||
\(322\) | 11.0857 | − | 5.56744i | 0.617781 | − | 0.310261i | ||||
\(323\) | 43.5617 | 2.42384 | ||||||||
\(324\) | 12.6827 | + | 21.0870i | 0.704593 | + | 1.17150i | ||||
\(325\) | 24.4382 | 1.35559 | ||||||||
\(326\) | −29.9331 | + | 15.0330i | −1.65784 | + | 0.832599i | ||||
\(327\) | 0.103293 | + | 3.07677i | 0.00571212 | + | 0.170146i | ||||
\(328\) | 1.06393 | − | 1.42911i | 0.0587459 | − | 0.0789094i | ||||
\(329\) | 3.20166 | − | 10.6943i | 0.176513 | − | 0.589595i | ||||
\(330\) | −1.53621 | + | 2.51567i | −0.0845654 | + | 0.138483i | ||||
\(331\) | 10.8007 | − | 25.0389i | 0.593663 | − | 1.37626i | −0.311112 | − | 0.950373i | \(-0.600701\pi\) |
0.904774 | − | 0.425891i | \(-0.140039\pi\) | |||||||
\(332\) | 3.19024 | − | 18.0928i | 0.175087 | − | 0.992969i | ||||
\(333\) | −4.11717 | − | 1.19259i | −0.225620 | − | 0.0653538i | ||||
\(334\) | 1.38088 | + | 7.83136i | 0.0755584 | + | 0.428513i | ||||
\(335\) | 0.767320 | + | 0.181858i | 0.0419232 | + | 0.00993597i | ||||
\(336\) | 5.18840 | + | 3.59850i | 0.283050 | + | 0.196314i | ||||
\(337\) | 10.6262 | − | 6.98897i | 0.578846 | − | 0.380713i | −0.226062 | − | 0.974113i | \(-0.572585\pi\) |
0.804908 | + | 0.593400i | \(0.202215\pi\) | |||||||
\(338\) | −1.95408 | − | 33.5502i | −0.106288 | − | 1.82489i | ||||
\(339\) | 6.32968 | + | 23.2072i | 0.343781 | + | 1.26044i | ||||
\(340\) | −3.47125 | − | 11.5948i | −0.188255 | − | 0.628815i | ||||
\(341\) | −3.15292 | − | 1.14757i | −0.170740 | − | 0.0621444i | ||||
\(342\) | −40.9587 | − | 6.84511i | −2.21479 | − | 0.370141i | ||||
\(343\) | −18.3136 | + | 6.66560i | −0.988840 | + | 0.359908i | ||||
\(344\) | −9.18988 | − | 12.3441i | −0.495485 | − | 0.665552i | ||||
\(345\) | −3.24907 | − | 1.27398i | −0.174924 | − | 0.0685890i | ||||
\(346\) | 28.1213 | − | 6.66487i | 1.51181 | − | 0.358306i | ||||
\(347\) | 3.33227 | + | 7.72507i | 0.178886 | + | 0.414703i | 0.983940 | − | 0.178497i | \(-0.0571235\pi\) |
−0.805055 | + | 0.593200i | \(0.797864\pi\) | |||||||
\(348\) | 10.4076 | + | 25.8599i | 0.557906 | + | 1.38624i | ||||
\(349\) | −25.1843 | − | 16.5640i | −1.34808 | − | 0.886649i | −0.349352 | − | 0.936992i | \(-0.613598\pi\) |
−0.998732 | + | 0.0503430i | \(0.983969\pi\) | |||||||
\(350\) | −9.11893 | + | 15.7944i | −0.487427 | + | 0.844249i | ||||
\(351\) | −17.4789 | − | 21.5064i | −0.932954 | − | 1.14793i | ||||
\(352\) | −4.55540 | − | 7.89018i | −0.242803 | − | 0.420548i | ||||
\(353\) | −1.35078 | + | 23.1921i | −0.0718950 | + | 1.23439i | 0.748711 | + | 0.662896i | \(0.230673\pi\) |
−0.820606 | + | 0.571494i | \(0.806364\pi\) | |||||||
\(354\) | −7.69951 | + | 1.62574i | −0.409224 | + | 0.0864073i | ||||
\(355\) | −5.23347 | − | 0.611705i | −0.277764 | − | 0.0324660i | ||||
\(356\) | 29.2338 | + | 30.9860i | 1.54939 | + | 1.64226i | ||||
\(357\) | −20.5637 | + | 6.91626i | −1.08835 | + | 0.366047i | ||||
\(358\) | −0.903214 | + | 0.105571i | −0.0477364 | + | 0.00557958i | ||||
\(359\) | 3.19290 | + | 2.67916i | 0.168515 | + | 0.141401i | 0.723145 | − | 0.690696i | \(-0.242696\pi\) |
−0.554630 | + | 0.832097i | \(0.687140\pi\) | |||||||
\(360\) | 0.387152 | + | 3.07370i | 0.0204047 | + | 0.161998i | ||||
\(361\) | 16.4498 | − | 13.8030i | 0.865780 | − | 0.726476i | ||||
\(362\) | −31.1245 | + | 32.9901i | −1.63587 | + | 1.73392i | ||||
\(363\) | 9.53435 | + | 13.4877i | 0.500423 | + | 0.707922i | ||||
\(364\) | 23.8387 | + | 11.9722i | 1.24948 | + | 0.627515i | ||||
\(365\) | 3.71039 | + | 1.86343i | 0.194211 | + | 0.0975364i | ||||
\(366\) | 7.80964 | + | 11.0479i | 0.408217 | + | 0.577482i | ||||
\(367\) | 8.04346 | − | 8.52557i | 0.419865 | − | 0.445031i | −0.482569 | − | 0.875858i | \(-0.660296\pi\) |
0.902435 | + | 0.430826i | \(0.141778\pi\) | |||||||
\(368\) | 4.75778 | − | 3.99225i | 0.248016 | − | 0.208110i | ||||
\(369\) | 0.418171 | + | 3.31997i | 0.0217691 | + | 0.172831i | ||||
\(370\) | −1.53961 | − | 1.29189i | −0.0800407 | − | 0.0671621i | ||||
\(371\) | −15.4855 | + | 1.81000i | −0.803967 | + | 0.0939703i | ||||
\(372\) | −12.4483 | + | 4.18676i | −0.645412 | + | 0.217073i | ||||
\(373\) | −24.9598 | − | 26.4559i | −1.29237 | − | 1.36983i | −0.891057 | − | 0.453891i | \(-0.850036\pi\) |
−0.401313 | − | 0.915941i | \(-0.631446\pi\) | |||||||
\(374\) | 17.9028 | + | 2.09253i | 0.925729 | + | 0.108202i | ||||
\(375\) | 10.4981 | − | 2.21667i | 0.542121 | − | 0.114468i | ||||
\(376\) | −0.566763 | + | 9.73095i | −0.0292286 | + | 0.501835i | ||||
\(377\) | −15.6973 | − | 27.1885i | −0.808452 | − | 1.40028i | ||||
\(378\) | 20.4218 | − | 3.27168i | 1.05038 | − | 0.168277i | ||||
\(379\) | 5.02516 | − | 8.70383i | 0.258125 | − | 0.447086i | −0.707615 | − | 0.706599i | \(-0.750229\pi\) |
0.965740 | + | 0.259513i | \(0.0835620\pi\) | |||||||
\(380\) | −9.39529 | − | 6.17938i | −0.481968 | − | 0.316996i | ||||
\(381\) | 7.36920 | + | 18.3104i | 0.377535 | + | 0.938069i | ||||
\(382\) | 5.93710 | + | 13.7637i | 0.303768 | + | 0.704214i | ||||
\(383\) | −0.294453 | + | 0.0697866i | −0.0150458 | + | 0.00356593i | −0.238132 | − | 0.971233i | \(-0.576535\pi\) |
0.223086 | + | 0.974799i | \(0.428387\pi\) | |||||||
\(384\) | −19.2176 | − | 7.53537i | −0.980694 | − | 0.384538i | ||||
\(385\) | 0.854430 | + | 1.14770i | 0.0435458 | + | 0.0584921i | ||||
\(386\) | 17.8828 | − | 6.50880i | 0.910209 | − | 0.331289i | ||||
\(387\) | 28.5079 | + | 4.76431i | 1.44914 | + | 0.242183i | ||||
\(388\) | 9.58146 | + | 3.48737i | 0.486425 | + | 0.177044i | ||||
\(389\) | −2.15663 | − | 7.20364i | −0.109345 | − | 0.365239i | 0.885750 | − | 0.464164i | \(-0.153645\pi\) |
−0.995095 | + | 0.0989244i | \(0.968460\pi\) | |||||||
\(390\) | −3.41926 | − | 12.5364i | −0.173141 | − | 0.634806i | ||||
\(391\) | 1.24085 | + | 21.3045i | 0.0627524 | + | 1.07742i | ||||
\(392\) | 4.87579 | − | 3.20686i | 0.246265 | − | 0.161971i | ||||
\(393\) | −20.7519 | − | 14.3928i | −1.04679 | − | 0.726021i | ||||
\(394\) | −17.8841 | − | 4.23860i | −0.900987 | − | 0.213538i | ||||
\(395\) | −1.60068 | − | 9.07791i | −0.0805390 | − | 0.456759i | ||||
\(396\) | −9.53176 | − | 2.76100i | −0.478989 | − | 0.138746i | ||||
\(397\) | 2.95983 | − | 16.7860i | 0.148549 | − | 0.842466i | −0.815899 | − | 0.578195i | \(-0.803757\pi\) |
0.964448 | − | 0.264271i | \(-0.0851314\pi\) | |||||||
\(398\) | 10.8763 | − | 25.2141i | 0.545180 | − | 1.26387i | ||||
\(399\) | −10.5055 | + | 17.2037i | −0.525934 | + | 0.861263i | ||||
\(400\) | −2.61881 | + | 8.74745i | −0.130941 | + | 0.437372i | ||||
\(401\) | 8.10789 | − | 10.8908i | 0.404889 | − | 0.543860i | −0.552179 | − | 0.833726i | \(-0.686203\pi\) |
0.957067 | + | 0.289866i | \(0.0936108\pi\) | |||||||
\(402\) | 0.154238 | + | 4.59426i | 0.00769271 | + | 0.229141i | ||||
\(403\) | 13.2181 | − | 6.63836i | 0.658438 | − | 0.330680i | ||||
\(404\) | −12.7153 | −0.632609 | ||||||||
\(405\) | −4.52335 | − | 3.65973i | −0.224767 | − | 0.181853i | ||||
\(406\) | 23.4293 | 1.16278 | ||||||||
\(407\) | 1.54476 | − | 0.775806i | 0.0765708 | − | 0.0384553i | ||||
\(408\) | 16.0790 | − | 10.0172i | 0.796028 | − | 0.495924i | ||||
\(409\) | −0.401500 | + | 0.539308i | −0.0198529 | + | 0.0266671i | −0.811939 | − | 0.583743i | \(-0.801588\pi\) |
0.792086 | + | 0.610410i | \(0.208995\pi\) | |||||||
\(410\) | −0.449986 | + | 1.50306i | −0.0222232 | + | 0.0742308i | ||||
\(411\) | −0.307340 | − | 0.563948i | −0.0151600 | − | 0.0278175i | ||||
\(412\) | 5.59715 | − | 12.9757i | 0.275752 | − | 0.639265i | ||||
\(413\) | −0.663313 | + | 3.76184i | −0.0326395 | + | 0.185108i | ||||
\(414\) | 2.18100 | − | 20.2265i | 0.107191 | − | 0.994077i | ||||
\(415\) | 0.754343 | + | 4.27809i | 0.0370292 | + | 0.210003i | ||||
\(416\) | 39.0814 | + | 9.26246i | 1.91612 | + | 0.454130i | ||||
\(417\) | 2.14542 | − | 25.8530i | 0.105062 | − | 1.26602i | ||||
\(418\) | 13.9918 | − | 9.20258i | 0.684363 | − | 0.450113i | ||||
\(419\) | 1.15627 | + | 19.8524i | 0.0564876 | + | 0.969855i | 0.900863 | + | 0.434103i | \(0.142935\pi\) |
−0.844376 | + | 0.535752i | \(0.820028\pi\) | |||||||
\(420\) | 5.41624 | + | 1.42536i | 0.264285 | + | 0.0695503i | ||||
\(421\) | −3.60098 | − | 12.0281i | −0.175501 | − | 0.586214i | −0.999799 | − | 0.0200574i | \(-0.993615\pi\) |
0.824298 | − | 0.566156i | \(-0.191570\pi\) | |||||||
\(422\) | 11.6049 | + | 4.22384i | 0.564918 | + | 0.205613i | ||||
\(423\) | −11.8924 | − | 13.9182i | −0.578231 | − | 0.676727i | ||||
\(424\) | 12.7926 | − | 4.65611i | 0.621262 | − | 0.226121i | ||||
\(425\) | −18.7356 | − | 25.1663i | −0.908809 | − | 1.22074i | ||||
\(426\) | −4.58743 | − | 30.3707i | −0.222262 | − | 1.47146i | ||||
\(427\) | 6.39038 | − | 1.51455i | 0.309252 | − | 0.0732941i | ||||
\(428\) | −14.0679 | − | 32.6131i | −0.679999 | − | 1.57641i | ||||
\(429\) | 11.0654 | + | 1.57035i | 0.534243 | + | 0.0758171i | ||||
\(430\) | 11.3227 | + | 7.44707i | 0.546030 | + | 0.359130i | ||||
\(431\) | 10.8013 | − | 18.7084i | 0.520281 | − | 0.901153i | −0.479441 | − | 0.877574i | \(-0.659161\pi\) |
0.999722 | − | 0.0235787i | \(-0.00750603\pi\) | |||||||
\(432\) | 9.57110 | − | 3.95178i | 0.460490 | − | 0.190130i | ||||
\(433\) | −1.99970 | − | 3.46358i | −0.0960993 | − | 0.166449i | 0.813968 | − | 0.580910i | \(-0.197303\pi\) |
−0.910067 | + | 0.414461i | \(0.863970\pi\) | |||||||
\(434\) | −0.641838 | + | 11.0199i | −0.0308092 | + | 0.528973i | ||||
\(435\) | −4.40383 | − | 4.90422i | −0.211148 | − | 0.235140i | ||||
\(436\) | −4.82671 | − | 0.564162i | −0.231158 | − | 0.0270184i | ||||
\(437\) | 13.6067 | + | 14.4223i | 0.650897 | + | 0.689910i | ||||
\(438\) | −4.78835 | + | 23.7251i | −0.228796 | + | 1.13363i | ||||
\(439\) | 31.0001 | − | 3.62339i | 1.47955 | − | 0.172935i | 0.662312 | − | 0.749228i | \(-0.269575\pi\) |
0.817243 | + | 0.576293i | \(0.195501\pi\) | |||||||
\(440\) | −0.957063 | − | 0.803071i | −0.0456262 | − | 0.0382849i | ||||
\(441\) | −2.43222 | + | 10.6873i | −0.115820 | + | 0.508918i | ||||
\(442\) | −60.8697 | + | 51.0758i | −2.89528 | + | 2.42943i | ||||
\(443\) | −1.09948 | + | 1.16538i | −0.0522379 | + | 0.0553689i | −0.752966 | − | 0.658060i | \(-0.771377\pi\) |
0.700728 | + | 0.713429i | \(0.252859\pi\) | |||||||
\(444\) | 2.83213 | − | 6.14510i | 0.134407 | − | 0.291634i | ||||
\(445\) | −9.00144 | − | 4.52070i | −0.426709 | − | 0.214302i | ||||
\(446\) | 14.6467 | + | 7.35584i | 0.693540 | + | 0.348309i | ||||
\(447\) | −1.72521 | + | 0.158711i | −0.0815995 | + | 0.00750677i | ||||
\(448\) | −15.5659 | + | 16.4989i | −0.735421 | + | 0.779501i | ||||
\(449\) | 8.04720 | − | 6.75241i | 0.379771 | − | 0.318666i | −0.432841 | − | 0.901470i | \(-0.642489\pi\) |
0.812613 | + | 0.582804i | \(0.198045\pi\) | |||||||
\(450\) | 13.6615 | + | 26.6065i | 0.644011 | + | 1.25424i | ||||
\(451\) | −1.03374 | − | 0.867414i | −0.0486771 | − | 0.0408449i | ||||
\(452\) | −37.7152 | + | 4.40827i | −1.77397 | + | 0.207348i | ||||
\(453\) | −0.0255029 | − | 0.0224921i | −0.00119823 | − | 0.00105677i | ||||
\(454\) | 20.3710 | + | 21.5920i | 0.956057 | + | 1.01336i | ||||
\(455\) | −6.26500 | − | 0.732273i | −0.293708 | − | 0.0343295i | ||||
\(456\) | 5.46160 | − | 16.7324i | 0.255763 | − | 0.783564i | ||||
\(457\) | −2.39213 | + | 41.0713i | −0.111899 | + | 1.92123i | 0.215777 | + | 0.976443i | \(0.430772\pi\) |
−0.327676 | + | 0.944790i | \(0.606265\pi\) | |||||||
\(458\) | −17.4005 | − | 30.1385i | −0.813071 | − | 1.40828i | ||||
\(459\) | −8.74692 | + | 34.4876i | −0.408271 | + | 1.60974i | ||||
\(460\) | 2.75450 | − | 4.77093i | 0.128429 | − | 0.222446i | ||||
\(461\) | 28.6563 | + | 18.8476i | 1.33466 | + | 0.877819i | 0.997963 | − | 0.0637944i | \(-0.0203202\pi\) |
0.336696 | + | 0.941613i | \(0.390691\pi\) | |||||||
\(462\) | −5.14390 | + | 6.56565i | −0.239316 | + | 0.305462i | ||||
\(463\) | −13.2025 | − | 30.6068i | −0.613572 | − | 1.42242i | −0.887562 | − | 0.460688i | \(-0.847603\pi\) |
0.273990 | − | 0.961732i | \(-0.411656\pi\) | |||||||
\(464\) | 11.4140 | − | 2.70518i | 0.529884 | − | 0.125585i | ||||
\(465\) | 2.42733 | − | 1.93698i | 0.112565 | − | 0.0898254i | ||||
\(466\) | −6.96314 | − | 9.35312i | −0.322561 | − | 0.433275i | ||||
\(467\) | −9.76380 | + | 3.55373i | −0.451815 | + | 0.164447i | −0.557897 | − | 0.829910i | \(-0.688392\pi\) |
0.106082 | + | 0.994357i | \(0.466169\pi\) | |||||||
\(468\) | 37.6891 | − | 22.2114i | 1.74218 | − | 1.02672i | ||||
\(469\) | 2.09681 | + | 0.763177i | 0.0968218 | + | 0.0352402i | ||||
\(470\) | −2.46187 | − | 8.22322i | −0.113558 | − | 0.379309i | ||||
\(471\) | −9.51578 | + | 9.60124i | −0.438464 | + | 0.442402i | ||||
\(472\) | −0.193936 | − | 3.32976i | −0.00892664 | − | 0.153265i | ||||
\(473\) | −9.73855 | + | 6.40515i | −0.447779 | + | 0.294509i | ||||
\(474\) | 48.5977 | − | 22.9265i | 2.23217 | − | 1.05305i | ||||
\(475\) | −28.3647 | − | 6.72257i | −1.30146 | − | 0.308453i | ||||
\(476\) | −5.94706 | − | 33.7274i | −0.272583 | − | 1.54589i | ||||
\(477\) | −11.2702 | + | 22.9502i | −0.516027 | + | 1.05082i | ||||
\(478\) | −6.09945 | + | 34.5917i | −0.278982 | + | 1.58219i | ||||
\(479\) | 8.03903 | − | 18.6366i | 0.367313 | − | 0.851526i | −0.629883 | − | 0.776690i | \(-0.716897\pi\) |
0.997196 | − | 0.0748364i | \(-0.0238435\pi\) | |||||||
\(480\) | 8.42988 | + | 0.207571i | 0.384770 | + | 0.00947428i | ||||
\(481\) | −2.18558 | + | 7.30034i | −0.0996538 | + | 0.332867i | ||||
\(482\) | −30.3880 | + | 40.8182i | −1.38414 | + | 1.85922i | ||||
\(483\) | −8.71299 | − | 4.64785i | −0.396455 | − | 0.211484i | ||||
\(484\) | −23.3001 | + | 11.7017i | −1.05910 | + | 0.531898i | ||||
\(485\) | −2.41096 | −0.109476 | ||||||||
\(486\) | 13.6435 | − | 31.0524i | 0.618882 | − | 1.40856i | ||||
\(487\) | −27.5716 | −1.24939 | −0.624694 | − | 0.780870i | \(-0.714776\pi\) | ||||
−0.624694 | + | 0.780870i | \(0.714776\pi\) | |||||||
\(488\) | −5.12451 | + | 2.57363i | −0.231976 | + | 0.116503i | ||||
\(489\) | 23.5264 | + | 12.5499i | 1.06390 | + | 0.567527i | ||||
\(490\) | −3.06892 | + | 4.12227i | −0.138640 | + | 0.186225i | ||||
\(491\) | −2.93035 | + | 9.78804i | −0.132245 | + | 0.441728i | −0.998304 | − | 0.0582128i | \(-0.981460\pi\) |
0.866059 | + | 0.499941i | \(0.166645\pi\) | |||||||
\(492\) | −5.28055 | − | 0.130024i | −0.238066 | − | 0.00586194i | ||||
\(493\) | −15.9642 | + | 37.0091i | −0.718991 | + | 1.66681i | ||||
\(494\) | −12.8199 | + | 72.7055i | −0.576796 | + | 3.27117i | ||||
\(495\) | 2.34118 | − | 0.157373i | 0.105228 | − | 0.00707341i | ||||
\(496\) | 0.959690 | + | 5.44267i | 0.0430914 | + | 0.244383i | ||||
\(497\) | −14.5077 | − | 3.43840i | −0.650761 | − | 0.154233i | ||||
\(498\) | −22.9023 | + | 10.8044i | −1.02628 | + | 0.484159i | ||||
\(499\) | 7.30520 | − | 4.80470i | 0.327026 | − | 0.215088i | −0.375370 | − | 0.926875i | \(-0.622484\pi\) |
0.702395 | + | 0.711787i | \(0.252114\pi\) | |||||||
\(500\) | 0.984811 | + | 16.9086i | 0.0440421 | + | 0.756174i | ||||
\(501\) | 4.45616 | − | 4.49618i | 0.199087 | − | 0.200875i | ||||
\(502\) | −15.1560 | − | 50.6244i | −0.676444 | − | 2.25948i | ||||
\(503\) | −12.2947 | − | 4.47489i | −0.548192 | − | 0.199526i | 0.0530509 | − | 0.998592i | \(-0.483105\pi\) |
−0.601243 | + | 0.799066i | \(0.705328\pi\) | |||||||
\(504\) | 0.0783782 | + | 8.76581i | 0.00349124 | + | 0.390460i | ||||
\(505\) | 2.82525 | − | 1.02831i | 0.125722 | − | 0.0457591i | ||||
\(506\) | 4.89922 | + | 6.58080i | 0.217797 | + | 0.292552i | ||||
\(507\) | −20.9110 | + | 16.6868i | −0.928690 | + | 0.741085i | ||||
\(508\) | −30.3171 | + | 7.18528i | −1.34510 | + | 0.318795i | ||||
\(509\) | −12.0492 | − | 27.9331i | −0.534070 | − | 1.23811i | −0.945187 | − | 0.326530i | \(-0.894120\pi\) |
0.411117 | − | 0.911583i | \(-0.365139\pi\) | |||||||
\(510\) | −10.2885 | + | 13.1322i | −0.455584 | + | 0.581504i | ||||
\(511\) | 9.81592 | + | 6.45603i | 0.434231 | + | 0.285598i | ||||
\(512\) | −10.6866 | + | 18.5097i | −0.472284 | + | 0.818019i | ||||
\(513\) | 14.3712 | + | 29.7701i | 0.634504 | + | 1.31438i | ||||
\(514\) | −10.4808 | − | 18.1532i | −0.462287 | − | 0.800705i | ||||
\(515\) | −0.194286 | + | 3.33575i | −0.00856124 | + | 0.146991i | ||||
\(516\) | −14.1575 | + | 43.3732i | −0.623247 | + | 1.90940i | ||||
\(517\) | 7.33294 | + | 0.857098i | 0.322502 | + | 0.0376951i | ||||
\(518\) | −3.90269 | − | 4.13661i | −0.171475 | − | 0.181752i | ||||
\(519\) | −17.2543 | − | 15.2174i | −0.757382 | − | 0.667969i | ||||
\(520\) | 5.47042 | − | 0.639401i | 0.239894 | − | 0.0280396i | ||||
\(521\) | 8.25925 | + | 6.93034i | 0.361845 | + | 0.303624i | 0.805525 | − | 0.592561i | \(-0.201883\pi\) |
−0.443681 | + | 0.896185i | \(0.646328\pi\) | |||||||
\(522\) | 20.8257 | − | 32.2891i | 0.911517 | − | 1.41326i | ||||
\(523\) | 9.44644 | − | 7.92650i | 0.413064 | − | 0.346602i | −0.412453 | − | 0.910979i | \(-0.635328\pi\) |
0.825517 | + | 0.564377i | \(0.190884\pi\) | |||||||
\(524\) | 27.3575 | − | 28.9972i | 1.19512 | − | 1.26675i | ||||
\(525\) | 14.4572 | − | 1.32999i | 0.630964 | − | 0.0580457i | ||||
\(526\) | 12.9141 | + | 6.48572i | 0.563083 | + | 0.282791i | ||||
\(527\) | −16.9698 | − | 8.52256i | −0.739216 | − | 0.371248i | ||||
\(528\) | −1.74787 | + | 3.79250i | −0.0760664 | + | 0.165047i | ||||
\(529\) | 9.11771 | − | 9.66421i | 0.396422 | − | 0.420183i | ||||
\(530\) | −9.18367 | + | 7.70601i | −0.398913 | + | 0.334728i | ||||
\(531\) | 4.59477 | + | 4.25794i | 0.199396 | + | 0.184779i | ||||
\(532\) | −24.3755 | − | 20.4535i | −1.05681 | − | 0.886772i | ||||
\(533\) | 5.90872 | − | 0.690630i | 0.255935 | − | 0.0299145i | ||||
\(534\) | 11.6166 | − | 57.5572i | 0.502698 | − | 2.49074i | ||||
\(535\) | 5.76327 | + | 6.10871i | 0.249168 | + | 0.264103i | ||||
\(536\) | −1.93520 | − | 0.226193i | −0.0835881 | − | 0.00977005i | ||||
\(537\) | 0.483658 | + | 0.538614i | 0.0208714 | + | 0.0232429i | ||||
\(538\) | −3.71520 | + | 63.7875i | −0.160174 | + | 2.75007i | ||||
\(539\) | −2.21009 | − | 3.82798i | −0.0951952 | − | 0.164883i | ||||
\(540\) | 6.77870 | − | 6.19743i | 0.291709 | − | 0.266695i | ||||
\(541\) | 7.99279 | − | 13.8439i | 0.343637 | − | 0.595196i | −0.641468 | − | 0.767149i | \(-0.721674\pi\) |
0.985105 | + | 0.171953i | \(0.0550078\pi\) | |||||||
\(542\) | 34.3196 | + | 22.5724i | 1.47415 | + | 0.969566i | ||||
\(543\) | 35.7467 | + | 5.07299i | 1.53404 | + | 0.217703i | ||||
\(544\) | −20.4234 | − | 47.3469i | −0.875648 | − | 2.02998i | ||||
\(545\) | 1.11809 | − | 0.264991i | 0.0478936 | − | 0.0113510i | ||||
\(546\) | −5.49162 | − | 36.3568i | −0.235019 | − | 1.55593i | ||||
\(547\) | 0.738452 | + | 0.991913i | 0.0315739 | + | 0.0424111i | 0.817630 | − | 0.575744i | \(-0.195288\pi\) |
−0.786056 | + | 0.618155i | \(0.787880\pi\) | |||||||
\(548\) | 0.952696 | − | 0.346753i | 0.0406972 | − | 0.0148126i | ||||
\(549\) | 3.59296 | − | 10.1531i | 0.153344 | − | 0.433325i | ||||
\(550\) | −11.3343 | − | 4.12534i | −0.483295 | − | 0.175905i | ||||
\(551\) | 10.7403 | + | 35.8751i | 0.457552 | + | 1.52833i | ||||
\(552\) | 8.33879 | + | 2.19446i | 0.354923 | + | 0.0934026i | ||||
\(553\) | −1.51662 | − | 26.0393i | −0.0644930 | − | 1.10730i | ||||
\(554\) | −25.5204 | + | 16.7850i | −1.08426 | + | 0.713128i | ||||
\(555\) | −0.132315 | + | 1.59444i | −0.00561648 | + | 0.0676801i | ||||
\(556\) | 39.8467 | + | 9.44384i | 1.68988 | + | 0.400508i | ||||
\(557\) | 2.28246 | + | 12.9445i | 0.0967109 | + | 0.548475i | 0.994210 | + | 0.107458i | \(0.0342710\pi\) |
−0.897499 | + | 0.441017i | \(0.854618\pi\) | |||||||
\(558\) | 14.6166 | + | 10.6799i | 0.618770 | + | 0.452115i | ||||
\(559\) | 8.92289 | − | 50.6042i | 0.377398 | − | 2.14033i | ||||
\(560\) | 0.933474 | − | 2.16404i | 0.0394465 | − | 0.0914472i | ||||
\(561\) | −6.86620 | − | 12.5990i | −0.289891 | − | 0.531931i | ||||
\(562\) | 13.7788 | − | 46.0245i | 0.581224 | − | 1.94142i | ||||
\(563\) | 3.63605 | − | 4.88406i | 0.153241 | − | 0.205838i | −0.718873 | − | 0.695142i | \(-0.755342\pi\) |
0.872114 | + | 0.489303i | \(0.162749\pi\) | |||||||
\(564\) | 24.5280 | − | 15.2809i | 1.03281 | − | 0.643441i | ||||
\(565\) | 8.02355 | − | 4.02958i | 0.337553 | − | 0.169526i | ||||
\(566\) | 8.60852 | 0.361843 | ||||||||
\(567\) | −11.5106 | − | 11.7716i | −0.483402 | − | 0.494360i | ||||
\(568\) | 13.0187 | 0.546251 | ||||||||
\(569\) | 14.8144 | − | 7.44006i | 0.621051 | − | 0.311904i | −0.110307 | − | 0.993898i | \(-0.535183\pi\) |
0.731358 | + | 0.681994i | \(0.238887\pi\) | |||||||
\(570\) | 0.520073 | + | 15.4913i | 0.0217834 | + | 0.648858i | ||||
\(571\) | 20.8094 | − | 27.9518i | 0.870844 | − | 1.16975i | −0.113508 | − | 0.993537i | \(-0.536209\pi\) |
0.984353 | − | 0.176210i | \(-0.0563838\pi\) | |||||||
\(572\) | −5.05988 | + | 16.9012i | −0.211564 | + | 0.706674i | ||||
\(573\) | 6.21882 | − | 10.1839i | 0.259795 | − | 0.425437i | ||||
\(574\) | −1.75844 | + | 4.07652i | −0.0733959 | + | 0.170151i | ||||
\(575\) | 2.47981 | − | 14.0637i | 0.103415 | − | 0.586497i | ||||
\(576\) | 8.90184 | + | 36.1176i | 0.370910 | + | 1.50490i | ||||
\(577\) | 5.38675 | + | 30.5498i | 0.224254 | + | 1.27180i | 0.864107 | + | 0.503308i | \(0.167884\pi\) |
−0.639854 | + | 0.768497i | \(0.721005\pi\) | |||||||
\(578\) | 63.2718 | + | 14.9957i | 2.63176 | + | 0.623739i | ||||
\(579\) | −12.4482 | − | 8.63366i | −0.517330 | − | 0.358802i | ||||
\(580\) | 8.69300 | − | 5.71747i | 0.360957 | − | 0.237405i | ||||
\(581\) | 0.714726 | + | 12.2714i | 0.0296518 | + | 0.509102i | ||||
\(582\) | −3.69816 | − | 13.5590i | −0.153294 | − | 0.562037i | ||||
\(583\) | −2.95726 | − | 9.87794i | −0.122477 | − | 0.409103i | ||||
\(584\) | −9.63999 | − | 3.50867i | −0.398906 | − | 0.145190i | ||||
\(585\) | −6.57797 | + | 7.98321i | −0.271966 | + | 0.330065i | ||||
\(586\) | −16.3102 | + | 5.93644i | −0.673769 | + | 0.245232i | ||||
\(587\) | −26.6000 | − | 35.7300i | −1.09790 | − | 1.47474i | −0.864687 | − | 0.502311i | \(-0.832483\pi\) |
−0.233214 | − | 0.972425i | \(-0.574924\pi\) | |||||||
\(588\) | −16.1078 | − | 6.31598i | −0.664274 | − | 0.260467i | ||||
\(589\) | −17.1680 | + | 4.06889i | −0.707394 | + | 0.167655i | ||||
\(590\) | 1.16338 | + | 2.69702i | 0.0478956 | + | 0.111034i | ||||
\(591\) | 5.46259 | + | 13.5730i | 0.224701 | + | 0.558319i | ||||
\(592\) | −2.37889 | − | 1.56462i | −0.0977718 | − | 0.0643055i | ||||
\(593\) | 9.90549 | − | 17.1568i | 0.406770 | − | 0.704546i | −0.587756 | − | 0.809038i | \(-0.699989\pi\) |
0.994526 | + | 0.104493i | \(0.0333219\pi\) | |||||||
\(594\) | 4.47616 | + | 12.9251i | 0.183659 | + | 0.530323i | ||||
\(595\) | 4.04899 | + | 7.01306i | 0.165992 | + | 0.287507i | ||||
\(596\) | 0.159016 | − | 2.73020i | 0.00651356 | − | 0.111833i | ||||
\(597\) | −21.3879 | + | 4.51602i | −0.875347 | + | 0.184828i | ||||
\(598\) | −35.9229 | − | 4.19879i | −1.46900 | − | 0.171701i | ||||
\(599\) | 19.1656 | + | 20.3143i | 0.783084 | + | 0.830020i | 0.988902 | − | 0.148570i | \(-0.0474671\pi\) |
−0.205818 | + | 0.978590i | \(0.565986\pi\) | |||||||
\(600\) | −12.0155 | + | 4.04122i | −0.490532 | + | 0.164982i | ||||
\(601\) | 10.0762 | − | 1.17774i | 0.411015 | − | 0.0480408i | 0.0919270 | − | 0.995766i | \(-0.470697\pi\) |
0.319088 | + | 0.947725i | \(0.396623\pi\) | |||||||
\(602\) | 29.3761 | + | 24.6495i | 1.19728 | + | 1.00464i | ||||
\(603\) | 2.91557 | − | 2.21135i | 0.118731 | − | 0.0900532i | ||||
\(604\) | 0.0411194 | − | 0.0345033i | 0.00167313 | − | 0.00140392i | ||||
\(605\) | 4.23078 | − | 4.48437i | 0.172006 | − | 0.182315i | ||||
\(606\) | 10.1167 | + | 14.3115i | 0.410963 | + | 0.581366i | ||||
\(607\) | 9.66590 | + | 4.85440i | 0.392327 | + | 0.197034i | 0.634016 | − | 0.773320i | \(-0.281405\pi\) |
−0.241690 | + | 0.970354i | \(0.577702\pi\) | |||||||
\(608\) | −42.8128 | − | 21.5014i | −1.73629 | − | 0.871997i | ||||
\(609\) | −10.7659 | − | 15.2300i | −0.436258 | − | 0.617150i | ||||
\(610\) | 3.46546 | − | 3.67317i | 0.140312 | − | 0.148722i | ||||
\(611\) | −24.9321 | + | 20.9205i | −1.00865 | + | 0.846355i | ||||
\(612\) | −51.7676 | − | 21.7835i | −2.09258 | − | 0.880545i | ||||
\(613\) | 4.13859 | + | 3.47269i | 0.167156 | + | 0.140261i | 0.722528 | − | 0.691341i | \(-0.242980\pi\) |
−0.555372 | + | 0.831602i | \(0.687424\pi\) | |||||||
\(614\) | 4.50351 | − | 0.526385i | 0.181747 | − | 0.0212432i | ||||
\(615\) | 1.18382 | − | 0.398156i | 0.0477361 | − | 0.0160552i | ||||
\(616\) | −2.42601 | − | 2.57143i | −0.0977469 | − | 0.103606i | ||||
\(617\) | 24.8710 | + | 2.90700i | 1.00127 | + | 0.117031i | 0.600901 | − | 0.799324i | \(-0.294809\pi\) |
0.400367 | + | 0.916355i | \(0.368883\pi\) | |||||||
\(618\) | −19.0579 | + | 4.02405i | −0.766620 | + | 0.161871i | ||||
\(619\) | −1.48183 | + | 25.4420i | −0.0595596 | + | 1.02260i | 0.827654 | + | 0.561239i | \(0.189675\pi\) |
−0.887213 | + | 0.461360i | \(0.847362\pi\) | |||||||
\(620\) | 2.45106 | + | 4.24535i | 0.0984368 | + | 0.170498i | ||||
\(621\) | −14.1502 | + | 7.87646i | −0.567827 | + | 0.316071i | ||||
\(622\) | 16.3342 | − | 28.2917i | 0.654943 | − | 1.13439i | ||||
\(623\) | −23.8135 | − | 15.6624i | −0.954068 | − | 0.627500i | ||||
\(624\) | −6.87314 | − | 17.0778i | −0.275146 | − | 0.683660i | ||||
\(625\) | 7.48804 | + | 17.3592i | 0.299521 | + | 0.694369i | ||||
\(626\) | 10.7782 | − | 2.55449i | 0.430785 | − | 0.102098i | ||||
\(627\) | −12.4114 | − | 4.86659i | −0.495662 | − | 0.194353i | ||||
\(628\) | −12.7426 | − | 17.1163i | −0.508485 | − | 0.683014i | ||||
\(629\) | 9.19342 | − | 3.34613i | 0.366566 | − | 0.133419i | ||||
\(630\) | −2.70504 | − | 7.23024i | −0.107772 | − | 0.288060i | ||||
\(631\) | −18.7709 | − | 6.83203i | −0.747256 | − | 0.271979i | −0.0598054 | − | 0.998210i | \(-0.519048\pi\) |
−0.687451 | + | 0.726231i | \(0.741270\pi\) | |||||||
\(632\) | 6.53203 | + | 21.8185i | 0.259830 | + | 0.867893i | ||||
\(633\) | −2.58687 | − | 9.48451i | −0.102819 | − | 0.376976i | ||||
\(634\) | 3.50540 | + | 60.1854i | 0.139217 | + | 2.39027i | ||||
\(635\) | 6.15516 | − | 4.04831i | 0.244260 | − | 0.160652i | ||||
\(636\) | −33.1646 | − | 23.0019i | −1.31506 | − | 0.912083i | ||||
\(637\) | 18.9606 | + | 4.49376i | 0.751248 | + | 0.178049i | ||||
\(638\) | 2.69069 | + | 15.2597i | 0.106526 | + | 0.604137i | ||||
\(639\) | −17.6342 | + | 16.9375i | −0.697596 | + | 0.670038i | ||||
\(640\) | −1.33792 | + | 7.58769i | −0.0528857 | + | 0.299930i | ||||
\(641\) | −3.53682 | + | 8.19927i | −0.139696 | + | 0.323852i | −0.973674 | − | 0.227947i | \(-0.926799\pi\) |
0.833978 | + | 0.551798i | \(0.186058\pi\) | |||||||
\(642\) | −25.5144 | + | 41.7820i | −1.00697 | + | 1.64900i | ||||
\(643\) | −3.84314 | + | 12.8370i | −0.151559 | + | 0.506241i | −0.999724 | − | 0.0234904i | \(-0.992522\pi\) |
0.848165 | + | 0.529731i | \(0.177707\pi\) | |||||||
\(644\) | 9.30877 | − | 12.5039i | 0.366817 | − | 0.492721i | ||||
\(645\) | −0.361979 | − | 10.7822i | −0.0142529 | − | 0.424548i | ||||
\(646\) | 84.7001 | − | 42.5380i | 3.33248 | − | 1.67363i | ||||
\(647\) | −48.7223 | −1.91547 | −0.957736 | − | 0.287649i | \(-0.907126\pi\) | ||||
−0.957736 | + | 0.287649i | \(0.907126\pi\) | |||||||
\(648\) | 12.1503 | + | 7.68368i | 0.477308 | + | 0.301843i | ||||
\(649\) | −2.52628 | −0.0991653 | ||||||||
\(650\) | 47.5169 | − | 23.8639i | 1.86376 | − | 0.936018i | ||||
\(651\) | 7.45830 | − | 4.64651i | 0.292314 | − | 0.182111i | ||||
\(652\) | −25.1351 | + | 33.7624i | −0.984368 | + | 1.32224i | ||||
\(653\) | −1.37807 | + | 4.60307i | −0.0539280 | + | 0.180132i | −0.980710 | − | 0.195467i | \(-0.937378\pi\) |
0.926782 | + | 0.375599i | \(0.122563\pi\) | |||||||
\(654\) | 3.20530 | + | 5.88151i | 0.125337 | + | 0.229985i | ||||
\(655\) | −3.73359 | + | 8.65544i | −0.145883 | + | 0.338196i | ||||
\(656\) | −0.385978 | + | 2.18899i | −0.0150699 | + | 0.0854656i | ||||
\(657\) | 17.6225 | − | 7.78921i | 0.687519 | − | 0.303886i | ||||
\(658\) | −4.21775 | − | 23.9201i | −0.164425 | − | 0.932501i | ||||
\(659\) | −24.6111 | − | 5.83293i | −0.958712 | − | 0.227219i | −0.278666 | − | 0.960388i | \(-0.589892\pi\) |
−0.680046 | + | 0.733169i | \(0.738040\pi\) | |||||||
\(660\) | −0.306327 | + | 3.69132i | −0.0119238 | + | 0.143685i | ||||
\(661\) | 11.8107 | − | 7.76805i | 0.459385 | − | 0.302142i | −0.298642 | − | 0.954365i | \(-0.596534\pi\) |
0.758027 | + | 0.652223i | \(0.226163\pi\) | |||||||
\(662\) | −3.44987 | − | 59.2319i | −0.134083 | − | 2.30211i | ||||
\(663\) | 61.1712 | + | 16.0980i | 2.37569 | + | 0.625196i | ||||
\(664\) | −3.07831 | − | 10.2823i | −0.119462 | − | 0.399029i | ||||
\(665\) | 7.07019 | + | 2.57334i | 0.274170 | + | 0.0997898i | ||||
\(666\) | −9.16987 | + | 1.70157i | −0.355325 | + | 0.0659345i | ||||
\(667\) | −17.2393 | + | 6.27461i | −0.667510 | + | 0.242954i | ||||
\(668\) | 5.96725 | + | 8.01541i | 0.230880 | + | 0.310126i | ||||
\(669\) | −1.94866 | − | 12.9010i | −0.0753396 | − | 0.498780i | ||||
\(670\) | 1.66954 | − | 0.395688i | 0.0644999 | − | 0.0152868i | ||||
\(671\) | 1.72032 | + | 3.98816i | 0.0664123 | + | 0.153961i | ||||
\(672\) | 23.6240 | + | 3.35260i | 0.911315 | + | 0.129329i | ||||
\(673\) | −2.22854 | − | 1.46573i | −0.0859039 | − | 0.0564999i | 0.505830 | − | 0.862633i | \(-0.331186\pi\) |
−0.591734 | + | 0.806133i | \(0.701557\pi\) | |||||||
\(674\) | 13.8366 | − | 23.9656i | 0.532965 | − | 0.923122i | ||||
\(675\) | 11.0177 | − | 21.1064i | 0.424071 | − | 0.812385i | ||||
\(676\) | −21.1154 | − | 36.5730i | −0.812131 | − | 1.40665i | ||||
\(677\) | 0.858366 | − | 14.7376i | 0.0329897 | − | 0.566411i | −0.940800 | − | 0.338962i | \(-0.889924\pi\) |
0.973790 | − | 0.227449i | \(-0.0730386\pi\) | |||||||
\(678\) | 34.9691 | + | 38.9425i | 1.34298 | + | 1.49558i | ||||
\(679\) | −6.77601 | − | 0.792002i | −0.260040 | − | 0.0303943i | ||||
\(680\) | −4.85237 | − | 5.14321i | −0.186080 | − | 0.197233i | ||||
\(681\) | 4.67502 | − | 23.1635i | 0.179147 | − | 0.887629i | ||||
\(682\) | −7.25106 | + | 0.847527i | −0.277657 | + | 0.0324535i | ||||
\(683\) | −16.0712 | − | 13.4854i | −0.614948 | − | 0.516003i | 0.281263 | − | 0.959631i | \(-0.409247\pi\) |
−0.896211 | + | 0.443628i | \(0.853691\pi\) | |||||||
\(684\) | −49.8547 | + | 15.4126i | −1.90624 | + | 0.589314i | ||||
\(685\) | −0.183640 | + | 0.154092i | −0.00701653 | + | 0.00588756i | ||||
\(686\) | −29.0994 | + | 30.8436i | −1.11102 | + | 1.17761i | ||||
\(687\) | −11.5956 | + | 25.1598i | −0.442398 | + | 0.959907i | ||||
\(688\) | 17.1572 | + | 8.61667i | 0.654112 | + | 0.328507i | ||||
\(689\) | 40.6205 | + | 20.4004i | 1.54752 | + | 0.777194i | ||||
\(690\) | −7.56143 | + | 0.695616i | −0.287859 | + | 0.0264816i | ||||
\(691\) | −23.9044 | + | 25.3372i | −0.909366 | + | 0.963872i | −0.999486 | − | 0.0320589i | \(-0.989794\pi\) |
0.0901196 | + | 0.995931i | \(0.471275\pi\) | |||||||
\(692\) | 27.8199 | − | 23.3437i | 1.05755 | − | 0.887394i | ||||
\(693\) | 6.63158 | + | 0.326780i | 0.251913 | + | 0.0124133i | ||||
\(694\) | 14.0227 | + | 11.7664i | 0.532294 | + | 0.446648i | ||||
\(695\) | −9.61740 | + | 1.12411i | −0.364809 | + | 0.0426400i | ||||
\(696\) | 12.2139 | + | 10.7720i | 0.462968 | + | 0.408312i | ||||
\(697\) | −5.24114 | − | 5.55529i | −0.198522 | − | 0.210421i | ||||
\(698\) | −65.1423 | − | 7.61404i | −2.46567 | − | 0.288196i | ||||
\(699\) | −2.88028 | + | 8.82412i | −0.108942 | + | 0.333759i | ||||
\(700\) | −1.33255 | + | 22.8790i | −0.0503657 | + | 0.864746i | ||||
\(701\) | 21.8053 | + | 37.7679i | 0.823576 | + | 1.42647i | 0.903003 | + | 0.429634i | \(0.141357\pi\) |
−0.0794276 | + | 0.996841i | \(0.525309\pi\) | |||||||
\(702\) | −54.9864 | − | 24.7483i | −2.07533 | − | 0.934065i | ||||
\(703\) | 4.54496 | − | 7.87209i | 0.171416 | − | 0.296902i | ||||
\(704\) | −12.5335 | − | 8.24341i | −0.472374 | − | 0.310685i | ||||
\(705\) | −4.21416 | + | 5.37893i | −0.158715 | + | 0.202582i | ||||
\(706\) | 20.0206 | + | 46.4130i | 0.753487 | + | 1.74678i | ||||
\(707\) | 8.27816 | − | 1.96196i | 0.311332 | − | 0.0737871i | ||||
\(708\) | −7.72926 | + | 6.16787i | −0.290484 | + | 0.231803i | ||||
\(709\) | 10.9085 | + | 14.6527i | 0.409677 | + | 0.550292i | 0.958295 | − | 0.285781i | \(-0.0922530\pi\) |
−0.548617 | + | 0.836074i | \(0.684846\pi\) | |||||||
\(710\) | −10.7731 | + | 3.92111i | −0.404309 | + | 0.147156i | ||||
\(711\) | −37.2341 | − | 21.0555i | −1.39639 | − | 0.789643i | ||||
\(712\) | 23.3867 | + | 8.51206i | 0.876453 | + | 0.319003i | ||||
\(713\) | −2.47898 | − | 8.28037i | −0.0928385 | − | 0.310102i | ||||
\(714\) | −33.2298 | + | 33.5283i | −1.24359 | + | 1.25476i | ||||
\(715\) | −0.242556 | − | 4.16453i | −0.00907109 | − | 0.155745i | ||||
\(716\) | −0.954722 | + | 0.627930i | −0.0356796 | + | 0.0234669i | ||||
\(717\) | 25.2887 | − | 11.9302i | 0.944422 | − | 0.445542i | ||||
\(718\) | 8.82440 | + | 2.09142i | 0.329324 | + | 0.0780511i | ||||
\(719\) | −3.15002 | − | 17.8647i | −0.117476 | − | 0.666240i | −0.985494 | − | 0.169708i | \(-0.945718\pi\) |
0.868018 | − | 0.496532i | \(-0.165393\pi\) | |||||||
\(720\) | −2.15263 | − | 3.21002i | −0.0802236 | − | 0.119630i | ||||
\(721\) | −1.64184 | + | 9.31131i | −0.0611451 | + | 0.346771i | ||||
\(722\) | 18.5059 | − | 42.9015i | 0.688718 | − | 1.59663i | ||||
\(723\) | 40.4969 | + | 0.997164i | 1.50610 | + | 0.0370849i | ||||
\(724\) | −16.3459 | + | 54.5991i | −0.607491 | + | 2.02916i | ||||
\(725\) | 16.1063 | − | 21.6345i | 0.598172 | − | 0.803484i | ||||
\(726\) | 31.7091 | + | 16.9148i | 1.17683 | + | 0.627769i | ||||
\(727\) | 18.0996 | − | 9.08994i | 0.671276 | − | 0.337127i | −0.0803032 | − | 0.996770i | \(-0.525589\pi\) |
0.751579 | + | 0.659643i | \(0.229293\pi\) | |||||||
\(728\) | 15.5847 | 0.577606 | ||||||||
\(729\) | −26.4545 | + | 5.39996i | −0.979796 | + | 0.199998i | ||||
\(730\) | 9.03402 | 0.334364 | ||||||||
\(731\) | −58.9526 | + | 29.6071i | −2.18044 | + | 1.09506i | ||||
\(732\) | 15.0004 | + | 8.00179i | 0.554431 | + | 0.295755i | ||||
\(733\) | −1.05577 | + | 1.41814i | −0.0389957 | + | 0.0523803i | −0.821193 | − | 0.570650i | \(-0.806691\pi\) |
0.782198 | + | 0.623030i | \(0.214099\pi\) | |||||||
\(734\) | 7.31426 | − | 24.4313i | 0.269974 | − | 0.901776i | ||||
\(735\) | 4.08982 | + | 0.100705i | 0.150855 | + | 0.00371455i | ||||
\(736\) | 9.29608 | − | 21.5507i | 0.342658 | − | 0.794371i | ||||
\(737\) | −0.256258 | + | 1.45331i | −0.00943939 | + | 0.0535334i | ||||
\(738\) | 4.05503 | + | 6.04691i | 0.149268 | + | 0.222590i | ||||
\(739\) | −1.58340 | − | 8.97988i | −0.0582461 | − | 0.330330i | 0.941736 | − | 0.336354i | \(-0.109194\pi\) |
−0.999982 | + | 0.00602346i | \(0.998083\pi\) | |||||||
\(740\) | −2.45748 | − | 0.582433i | −0.0903387 | − | 0.0214107i | ||||
\(741\) | 53.1522 | − | 25.0752i | 1.95260 | − | 0.921160i | ||||
\(742\) | −28.3421 | + | 18.6409i | −1.04047 | + | 0.684329i | ||||
\(743\) | 1.15833 | + | 19.8878i | 0.0424951 | + | 0.729613i | 0.950514 | + | 0.310683i | \(0.100558\pi\) |
−0.908018 | + | 0.418930i | \(0.862405\pi\) | |||||||
\(744\) | −5.40118 | + | 5.44969i | −0.198017 | + | 0.199795i | ||||
\(745\) | 0.185464 | + | 0.619492i | 0.00679487 | + | 0.0226964i | ||||
\(746\) | −74.3653 | − | 27.0667i | −2.72271 | − | 0.990984i | ||||
\(747\) | 17.5471 | + | 9.92269i | 0.642014 | + | 0.363052i | ||||
\(748\) | 21.2839 | − | 7.74671i | 0.778217 | − | 0.283248i | ||||
\(749\) | 14.1910 | + | 19.0618i | 0.518526 | + | 0.696502i | ||||
\(750\) | 18.2477 | − | 14.5614i | 0.666311 | − | 0.531708i | ||||
\(751\) | −37.5165 | + | 8.89157i | −1.36900 | + | 0.324458i | −0.848405 | − | 0.529348i | \(-0.822437\pi\) |
−0.520591 | + | 0.853806i | \(0.674289\pi\) | |||||||
\(752\) | −4.81660 | − | 11.1661i | −0.175643 | − | 0.407187i | ||||
\(753\) | −25.9436 | + | 33.1142i | −0.945436 | + | 1.20675i | ||||
\(754\) | −57.0709 | − | 37.5362i | −2.07840 | − | 1.36699i | ||||
\(755\) | −0.00634611 | + | 0.0109918i | −0.000230959 | + | 0.000400032i | ||||
\(756\) | 21.0874 | − | 15.1911i | 0.766941 | − | 0.552493i | ||||
\(757\) | 25.4729 | + | 44.1204i | 0.925829 | + | 1.60358i | 0.790223 | + | 0.612820i | \(0.209965\pi\) |
0.135606 | + | 0.990763i | \(0.456702\pi\) | |||||||
\(758\) | 1.27148 | − | 21.8305i | 0.0461824 | − | 0.792921i | ||||
\(759\) | 2.02655 | − | 6.20860i | 0.0735590 | − | 0.225358i | ||||
\(760\) | −6.52527 | − | 0.762694i | −0.236696 | − | 0.0276658i | ||||
\(761\) | −26.7225 | − | 28.3242i | −0.968690 | − | 1.02675i | −0.999629 | − | 0.0272302i | \(-0.991331\pi\) |
0.0309391 | − | 0.999521i | \(-0.490150\pi\) | |||||||
\(762\) | 32.2085 | + | 28.4062i | 1.16679 | + | 1.02905i | ||||
\(763\) | 3.22943 | − | 0.377466i | 0.116913 | − | 0.0136652i | ||||
\(764\) | 14.4293 | + | 12.1076i | 0.522033 | + | 0.438038i | ||||
\(765\) | 13.2641 | + | 0.653605i | 0.479564 | + | 0.0236312i | ||||
\(766\) | −0.504379 | + | 0.423224i | −0.0182239 | + | 0.0152917i | ||||
\(767\) | 7.64258 | − | 8.10067i | 0.275958 | − | 0.292498i | ||||
\(768\) | −1.95193 | + | 0.179568i | −0.0704342 | + | 0.00647961i | ||||
\(769\) | 30.5189 | + | 15.3272i | 1.10054 | + | 0.552711i | 0.903891 | − | 0.427763i | \(-0.140698\pi\) |
0.196648 | + | 0.980474i | \(0.436995\pi\) | |||||||
\(770\) | 2.78206 | + | 1.39720i | 0.100258 | + | 0.0503516i | ||||
\(771\) | −6.98432 | + | 15.1544i | −0.251534 | + | 0.545774i | ||||
\(772\) | 16.4106 | − | 17.3943i | 0.590632 | − | 0.626033i | ||||
\(773\) | −2.31945 | + | 1.94625i | −0.0834247 | + | 0.0700016i | −0.683546 | − | 0.729907i | \(-0.739563\pi\) |
0.600122 | + | 0.799909i | \(0.295119\pi\) | |||||||
\(774\) | 60.0823 | − | 18.5744i | 2.15961 | − | 0.667643i | ||||
\(775\) | 9.73449 | + | 8.16820i | 0.349673 | + | 0.293411i | ||||
\(776\) | 5.91662 | − | 0.691554i | 0.212394 | − | 0.0248254i | ||||
\(777\) | −0.895646 | + | 4.43770i | −0.0321311 | + | 0.159202i | ||||
\(778\) | −11.2276 | − | 11.9006i | −0.402530 | − | 0.426657i | ||||
\(779\) | −7.04808 | − | 0.823802i | −0.252524 | − | 0.0295158i | ||||
\(780\) | −10.9097 | − | 12.1493i | −0.390631 | − | 0.435016i | ||||
\(781\) | 0.573339 | − | 9.84385i | 0.0205157 | − | 0.352241i | ||||
\(782\) | 23.2165 | + | 40.2122i | 0.830222 | + | 1.43799i | ||||
\(783\) | −30.5587 | + | 1.29954i | −1.09208 | + | 0.0464419i | ||||
\(784\) | −3.64034 | + | 6.30526i | −0.130012 | + | 0.225188i | ||||
\(785\) | 4.21554 | + | 2.77260i | 0.150459 | + | 0.0989585i | ||||
\(786\) | −54.4040 | − | 7.72074i | −1.94053 | − | 0.275390i | ||||
\(787\) | 0.899575 | + | 2.08545i | 0.0320664 | + | 0.0743382i | 0.933497 | − | 0.358586i | \(-0.116741\pi\) |
−0.901430 | + | 0.432924i | \(0.857482\pi\) | |||||||
\(788\) | −22.4732 | + | 5.32626i | −0.800576 | + | 0.189740i | ||||
\(789\) | −1.71816 | − | 11.3749i | −0.0611680 | − | 0.404958i | ||||
\(790\) | −11.9769 | − | 16.0878i | −0.426119 | − | 0.572377i | ||||
\(791\) | 23.8739 | − | 8.68939i | 0.848858 | − | 0.308959i | ||||
\(792\) | −5.70023 | + | 1.05774i | −0.202549 | + | 0.0375851i | ||||
\(793\) | −17.9926 | − | 6.54878i | −0.638936 | − | 0.232554i | ||||
\(794\) | −10.6365 | − | 35.5285i | −0.377477 | − | 1.26086i | ||||
\(795\) | 9.22916 | + | 2.42878i | 0.327324 | + | 0.0861398i | ||||
\(796\) | −2.00636 | − | 34.4479i | −0.0711135 | − | 1.22097i | ||||
\(797\) | −10.5130 | + | 6.91452i | −0.372390 | + | 0.244925i | −0.721884 | − | 0.692014i | \(-0.756724\pi\) |
0.349494 | + | 0.936939i | \(0.386353\pi\) | |||||||
\(798\) | −3.62722 | + | 43.7090i | −0.128402 | + | 1.54728i | ||||
\(799\) | 40.6581 | + | 9.63616i | 1.43838 | + | 0.340903i | ||||
\(800\) | 5.99181 | + | 33.9812i | 0.211842 | + | 1.20142i | ||||
\(801\) | −42.7523 | + | 18.8967i | −1.51058 | + | 0.667682i | ||||
\(802\) | 5.12989 | − | 29.0931i | 0.181143 | − | 1.02731i | ||||
\(803\) | −3.07757 | + | 7.13460i | −0.108605 | + | 0.251775i | ||||
\(804\) | 2.76420 | + | 5.07211i | 0.0974857 | + | 0.178880i | ||||
\(805\) | −1.05714 | + | 3.53109i | −0.0372592 | + | 0.124454i | ||||
\(806\) | 19.2185 | − | 25.8149i | 0.676941 | − | 0.909290i | ||||
\(807\) | 43.1715 | − | 26.8957i | 1.51971 | − | 0.946775i | ||||
\(808\) | −6.63835 | + | 3.33390i | −0.233536 | + | 0.117286i | ||||
\(809\) | −13.7132 | −0.482129 | −0.241065 | − | 0.970509i | \(-0.577497\pi\) | ||||
−0.241065 | + | 0.970509i | \(0.577497\pi\) | |||||||
\(810\) | −12.3688 | − | 2.69881i | −0.434595 | − | 0.0948266i | ||||
\(811\) | 1.72288 | 0.0604985 | 0.0302493 | − | 0.999542i | \(-0.490370\pi\) | ||||
0.0302493 | + | 0.999542i | \(0.490370\pi\) | |||||||
\(812\) | 26.3099 | − | 13.2133i | 0.923295 | − | 0.463696i | ||||
\(813\) | −1.09717 | − | 32.6812i | −0.0384795 | − | 1.14618i | ||||
\(814\) | 2.24601 | − | 3.01691i | 0.0787225 | − | 0.105743i | ||||
\(815\) | 2.85444 | − | 9.53449i | 0.0999866 | − | 0.333979i | ||||
\(816\) | −12.3173 | + | 20.1707i | −0.431193 | + | 0.706115i | ||||
\(817\) | −24.2770 | + | 56.2805i | −0.849345 | + | 1.96900i | ||||
\(818\) | −0.254031 | + | 1.44068i | −0.00888198 | + | 0.0503722i | ||||
\(819\) | −21.1099 | + | 20.2759i | −0.737639 | + | 0.708498i | ||||
\(820\) | 0.342361 | + | 1.94163i | 0.0119558 | + | 0.0678046i | ||||
\(821\) | −50.3105 | − | 11.9238i | −1.75585 | − | 0.416144i | −0.778477 | − | 0.627673i | \(-0.784007\pi\) |
−0.977372 | + | 0.211530i | \(0.932155\pi\) | |||||||
\(822\) | −1.14828 | − | 0.796407i | −0.0400508 | − | 0.0277779i | ||||
\(823\) | −17.0312 | + | 11.2016i | −0.593669 | + | 0.390463i | −0.810493 | − | 0.585748i | \(-0.800801\pi\) |
0.216824 | + | 0.976211i | \(0.430430\pi\) | |||||||
\(824\) | −0.480032 | − | 8.24183i | −0.0167227 | − | 0.287118i | ||||
\(825\) | 2.52654 | + | 9.26333i | 0.0879628 | + | 0.322508i | ||||
\(826\) | 2.38371 | + | 7.96213i | 0.0829397 | + | 0.277038i | ||||
\(827\) | 40.3124 | + | 14.6725i | 1.40180 | + | 0.510213i | 0.928712 | − | 0.370803i | \(-0.120917\pi\) |
0.473087 | + | 0.881016i | \(0.343140\pi\) | |||||||
\(828\) | −8.95786 | − | 23.9432i | −0.311307 | − | 0.832084i | ||||
\(829\) | −13.4165 | + | 4.88321i | −0.465975 | + | 0.169601i | −0.564328 | − | 0.825551i | \(-0.690865\pi\) |
0.0983534 | + | 0.995152i | \(0.468642\pi\) | |||||||
\(830\) | 5.64428 | + | 7.58158i | 0.195916 | + | 0.263160i | ||||
\(831\) | 22.6377 | + | 8.87641i | 0.785293 | + | 0.307919i | ||||
\(832\) | 64.3496 | − | 15.2511i | 2.23092 | − | 0.528738i | ||||
\(833\) | −9.90860 | − | 22.9707i | −0.343312 | − | 0.795888i | ||||
\(834\) | −21.0739 | − | 52.3628i | −0.729730 | − | 1.81317i | ||||
\(835\) | −1.97410 | − | 1.29839i | −0.0683167 | − | 0.0449326i | ||||
\(836\) | 10.5221 | − | 18.2249i | 0.363916 | − | 0.630321i | ||||
\(837\) | 0.225908 | − | 14.4088i | 0.00780851 | − | 0.498041i | ||||
\(838\) | 21.6341 | + | 37.4714i | 0.747338 | + | 1.29443i | ||||
\(839\) | −1.74775 | + | 30.0078i | −0.0603391 | + | 1.03598i | 0.823238 | + | 0.567697i | \(0.192165\pi\) |
−0.883577 | + | 0.468286i | \(0.844872\pi\) | |||||||
\(840\) | 3.20141 | − | 0.675975i | 0.110459 | − | 0.0233233i | ||||
\(841\) | −5.61087 | − | 0.655817i | −0.193478 | − | 0.0226144i | ||||
\(842\) | −18.7471 | − | 19.8707i | −0.646067 | − | 0.684791i | ||||
\(843\) | −36.2491 | + | 12.1918i | −1.24849 | + | 0.419907i | ||||
\(844\) | 15.4138 | − | 1.80161i | 0.530563 | − | 0.0620140i | ||||
\(845\) | 7.64942 | + | 6.41863i | 0.263148 | + | 0.220807i | ||||
\(846\) | −36.7145 | − | 15.4492i | −1.26227 | − | 0.531155i | ||||
\(847\) | 13.3637 | − | 11.2135i | 0.459183 | − | 0.385300i | ||||
\(848\) | −11.6551 | + | 12.3537i | −0.400238 | + | 0.424227i | ||||
\(849\) | −3.95567 | − | 5.59587i | −0.135758 | − | 0.192050i | ||||
\(850\) | −61.0038 | − | 30.6373i | −2.09241 | − | 1.05085i | ||||
\(851\) | 3.97943 | + | 1.99855i | 0.136413 | + | 0.0685093i | ||||
\(852\) | −22.2794 | − | 31.5174i | −0.763279 | − | 1.07977i | ||||
\(853\) | −25.0747 | + | 26.5776i | −0.858542 | + | 0.910001i | −0.996763 | − | 0.0804005i | \(-0.974380\pi\) |
0.138221 | + | 0.990401i | \(0.455862\pi\) | |||||||
\(854\) | 10.9463 | − | 9.18504i | 0.374575 | − | 0.314306i | ||||
\(855\) | 9.83094 | − | 7.45640i | 0.336211 | − | 0.255004i | ||||
\(856\) | −15.8956 | − | 13.3380i | −0.543299 | − | 0.455882i | ||||
\(857\) | 45.8475 | − | 5.35881i | 1.56612 | − | 0.183053i | 0.711644 | − | 0.702541i | \(-0.247951\pi\) |
0.854478 | + | 0.519487i | \(0.173877\pi\) | |||||||
\(858\) | 23.0487 | − | 7.75204i | 0.786871 | − | 0.264650i | ||||
\(859\) | 0.211808 | + | 0.224503i | 0.00722679 | + | 0.00765995i | 0.730977 | − | 0.682402i | \(-0.239065\pi\) |
−0.723750 | + | 0.690062i | \(0.757583\pi\) | |||||||
\(860\) | 16.9147 | + | 1.97704i | 0.576785 | + | 0.0674165i | ||||
\(861\) | 3.45791 | − | 0.730134i | 0.117845 | − | 0.0248829i | ||||
\(862\) | 2.73299 | − | 46.9236i | 0.0930859 | − | 1.59822i | ||||
\(863\) | 16.3176 | + | 28.2630i | 0.555459 | + | 0.962083i | 0.997868 | + | 0.0652694i | \(0.0207907\pi\) |
−0.442409 | + | 0.896813i | \(0.645876\pi\) | |||||||
\(864\) | 25.6191 | − | 29.5773i | 0.871580 | − | 1.00624i | ||||
\(865\) | −4.29355 | + | 7.43665i | −0.145985 | + | 0.252854i | ||||
\(866\) | −7.27033 | − | 4.78177i | −0.247056 | − | 0.162491i | ||||
\(867\) | −19.3260 | − | 48.0197i | −0.656346 | − | 1.63083i | ||||
\(868\) | 5.49409 | + | 12.7367i | 0.186482 | + | 0.432313i | ||||
\(869\) | 16.7854 | − | 3.97821i | 0.569405 | − | 0.134951i | ||||
\(870\) | −13.3517 | − | 5.23529i | −0.452664 | − | 0.177493i | ||||
\(871\) | −3.88488 | − | 5.21830i | −0.131634 | − | 0.176816i | ||||
\(872\) | −2.66783 | + | 0.971011i | −0.0903441 | + | 0.0328826i | ||||
\(873\) | −7.11452 | + | 8.63437i | −0.240790 | + | 0.292229i | ||||
\(874\) | 40.5398 | + | 14.7553i | 1.37128 | + | 0.499105i | ||||
\(875\) | −3.25013 | − | 10.8562i | −0.109874 | − | 0.367006i | ||||
\(876\) | 8.00304 | + | 29.3424i | 0.270398 | + | 0.991388i | ||||
\(877\) | −0.404272 | − | 6.94107i | −0.0136513 | − | 0.234383i | −0.998231 | − | 0.0594489i | \(-0.981066\pi\) |
0.984580 | − | 0.174935i | \(-0.0559714\pi\) | |||||||
\(878\) | 56.7375 | − | 37.3168i | 1.91480 | − | 1.25938i | ||||
\(879\) | 11.3536 | + | 7.87444i | 0.382946 | + | 0.265598i | ||||
\(880\) | 1.51665 | + | 0.359453i | 0.0511264 | + | 0.0121172i | ||||
\(881\) | 6.47573 | + | 36.7257i | 0.218173 | + | 1.23732i | 0.875315 | + | 0.483553i | \(0.160654\pi\) |
−0.657142 | + | 0.753767i | \(0.728235\pi\) | |||||||
\(882\) | 5.70699 | + | 23.1551i | 0.192164 | + | 0.779673i | ||||
\(883\) | 1.07456 | − | 6.09412i | 0.0361618 | − | 0.205084i | −0.961374 | − | 0.275246i | \(-0.911241\pi\) |
0.997536 | + | 0.0701625i | \(0.0223518\pi\) | |||||||
\(884\) | −39.5484 | + | 91.6836i | −1.33016 | + | 3.08365i | ||||
\(885\) | 1.21858 | − | 1.99554i | 0.0409622 | − | 0.0670792i | ||||
\(886\) | −0.999804 | + | 3.33958i | −0.0335891 | + | 0.112195i | ||||
\(887\) | −11.1212 | + | 14.9384i | −0.373413 | + | 0.501581i | −0.948616 | − | 0.316430i | \(-0.897516\pi\) |
0.575203 | + | 0.818011i | \(0.304923\pi\) | |||||||
\(888\) | −0.132636 | − | 3.95078i | −0.00445096 | − | 0.132580i | ||||
\(889\) | 18.6289 | − | 9.35581i | 0.624795 | − | 0.313784i | ||||
\(890\) | −21.9166 | −0.734646 | ||||||||
\(891\) | 6.34498 | − | 8.84884i | 0.212565 | − | 0.296447i | ||||
\(892\) | 20.5958 | 0.689599 | ||||||||
\(893\) | 34.6930 | − | 17.4235i | 1.16096 | − | 0.583055i | ||||
\(894\) | −3.19946 | + | 1.99326i | −0.107006 | + | 0.0666645i | ||||
\(895\) | 0.161351 | − | 0.216732i | 0.00539336 | − | 0.00724454i | ||||
\(896\) | −6.25277 | + | 20.8857i | −0.208890 | + | 0.697742i | ||||
\(897\) | 13.7774 | + | 25.2807i | 0.460015 | + | 0.844097i | ||||
\(898\) | 9.05303 | − | 20.9873i | 0.302103 | − | 0.700355i | ||||
\(899\) | 2.83476 | − | 16.0767i | 0.0945444 | − | 0.536188i | ||||
\(900\) | 30.3463 | + | 22.1730i | 1.01154 | + | 0.739101i | ||||
\(901\) | −10.1337 | − | 57.4708i | −0.337601 | − | 1.91463i | ||||
\(902\) | −2.85701 | − | 0.677124i | −0.0951280 | − | 0.0225458i | ||||
\(903\) | 2.52461 | − | 30.4222i | 0.0840136 | − | 1.01239i | ||||
\(904\) | −18.5343 | + | 12.1902i | −0.616443 | + | 0.405441i | ||||
\(905\) | −0.783576 | − | 13.4535i | −0.0260469 | − | 0.447209i | ||||
\(906\) | −0.0715507 | − | 0.0188295i | −0.00237711 | − | 0.000625569i | ||||
\(907\) | −7.50927 | − | 25.0827i | −0.249341 | − | 0.832858i | −0.987417 | − | 0.158140i | \(-0.949450\pi\) |
0.738075 | − | 0.674718i | \(-0.235735\pi\) | |||||||
\(908\) | 35.0525 | + | 12.7581i | 1.16326 | + | 0.423392i | ||||
\(909\) | 4.65436 | − | 13.1525i | 0.154375 | − | 0.436240i | ||||
\(910\) | −12.8966 | + | 4.69396i | −0.427516 | + | 0.155603i | ||||
\(911\) | 4.75418 | + | 6.38597i | 0.157513 | + | 0.211576i | 0.873873 | − | 0.486154i | \(-0.161601\pi\) |
−0.716360 | + | 0.697731i | \(0.754193\pi\) | |||||||
\(912\) | 3.27963 | + | 21.7125i | 0.108599 | + | 0.718972i | ||||
\(913\) | −7.91034 | + | 1.87478i | −0.261794 | + | 0.0620463i | ||||
\(914\) | 35.4549 | + | 82.1937i | 1.17274 | + | 2.71873i | ||||
\(915\) | −3.98010 | − | 0.564836i | −0.131578 | − | 0.0186729i | ||||
\(916\) | −36.5368 | − | 24.0306i | −1.20721 | − | 0.793995i | ||||
\(917\) | −13.3366 | + | 23.0996i | −0.440412 | + | 0.762816i | ||||
\(918\) | 16.6699 | + | 75.5980i | 0.550187 | + | 2.49511i | ||||
\(919\) | −27.5324 | − | 47.6875i | −0.908210 | − | 1.57307i | −0.816549 | − | 0.577276i | \(-0.804116\pi\) |
−0.0916606 | − | 0.995790i | \(-0.529217\pi\) | |||||||
\(920\) | 0.187136 | − | 3.21301i | 0.00616971 | − | 0.105930i | ||||
\(921\) | −2.41156 | − | 2.68558i | −0.0794636 | − | 0.0884927i | ||||
\(922\) | 74.1232 | + | 8.66376i | 2.44112 | + | 0.285326i | ||||
\(923\) | 29.8304 | + | 31.6183i | 0.981878 | + | 1.04073i | ||||
\(924\) | −2.07353 | + | 10.2738i | −0.0682142 | + | 0.337984i | ||||
\(925\) | −6.50258 | + | 0.760043i | −0.213804 | + | 0.0249901i | ||||
\(926\) | −55.5581 | − | 46.6188i | −1.82575 | − | 1.53199i | ||||
\(927\) | 11.3730 | + | 10.5393i | 0.373538 | + | 0.346155i | ||||
\(928\) | 33.9569 | − | 28.4932i | 1.11469 | − | 0.935336i | ||||
\(929\) | 30.0976 | − | 31.9016i | 0.987472 | − | 1.04666i | −0.0114360 | − | 0.999935i | \(-0.503640\pi\) |
0.998908 | − | 0.0467244i | \(-0.0148783\pi\) | |||||||
\(930\) | 2.82817 | − | 6.13650i | 0.0927392 | − | 0.201224i | ||||
\(931\) | −20.7710 | − | 10.4316i | −0.680741 | − | 0.341881i | ||||
\(932\) | −13.0940 | − | 6.57607i | −0.428909 | − | 0.215406i | ||||
\(933\) | −25.8964 | + | 2.38234i | −0.847810 | + | 0.0779944i | ||||
\(934\) | −15.5142 | + | 16.4441i | −0.507641 | + | 0.538068i | ||||
\(935\) | −4.10265 | + | 3.44253i | −0.134171 | + | 0.112583i | ||||
\(936\) | 13.8528 | − | 21.4780i | 0.452792 | − | 0.702030i | ||||
\(937\) | 25.4682 | + | 21.3704i | 0.832010 | + | 0.698140i | 0.955752 | − | 0.294175i | \(-0.0950449\pi\) |
−0.123741 | + | 0.992315i | \(0.539489\pi\) | |||||||
\(938\) | 4.82222 | − | 0.563637i | 0.157451 | − | 0.0184034i | ||||
\(939\) | −6.61318 | − | 5.83246i | −0.215813 | − | 0.190335i | ||||
\(940\) | −7.40214 | − | 7.84581i | −0.241431 | − | 0.255902i | ||||
\(941\) | −11.1321 | − | 1.30115i | −0.362896 | − | 0.0424164i | −0.0673085 | − | 0.997732i | \(-0.521441\pi\) |
−0.295587 | + | 0.955316i | \(0.595515\pi\) | |||||||
\(942\) | −9.12659 | + | 27.9605i | −0.297360 | + | 0.911003i | ||||
\(943\) | 0.202130 | − | 3.47044i | 0.00658226 | − | 0.113013i | ||||
\(944\) | 2.08058 | + | 3.60368i | 0.0677172 | + | 0.117290i | ||||
\(945\) | −3.45695 | + | 5.08072i | −0.112455 | + | 0.165276i | ||||
\(946\) | −12.6807 | + | 21.9637i | −0.412286 | + | 0.714101i | ||||
\(947\) | −3.95278 | − | 2.59978i | −0.128448 | − | 0.0844816i | 0.483659 | − | 0.875256i | \(-0.339307\pi\) |
−0.612107 | + | 0.790775i | \(0.709678\pi\) | |||||||
\(948\) | 41.6428 | − | 53.1526i | 1.35250 | − | 1.72632i | ||||
\(949\) | −13.5671 | − | 31.4522i | −0.440408 | − | 1.02098i | ||||
\(950\) | −61.7162 | + | 14.6270i | −2.00234 | + | 0.474563i | ||||
\(951\) | 37.5121 | − | 29.9342i | 1.21641 | − | 0.970684i | ||||
\(952\) | −11.9480 | − | 16.0490i | −0.387238 | − | 0.520151i | ||||
\(953\) | 1.77553 | − | 0.646238i | 0.0575149 | − | 0.0209337i | −0.313102 | − | 0.949719i | \(-0.601368\pi\) |
0.370617 | + | 0.928786i | \(0.379146\pi\) | |||||||
\(954\) | 0.497399 | + | 55.6291i | 0.0161039 | + | 1.80106i | ||||
\(955\) | −4.18525 | − | 1.52331i | −0.135432 | − | 0.0492930i | ||||
\(956\) | 12.6591 | + | 42.2844i | 0.409425 | + | 1.36758i | ||||
\(957\) | 8.68299 | − | 8.76097i | 0.280681 | − | 0.283202i | ||||
\(958\) | −2.56775 | − | 44.0865i | −0.0829601 | − | 1.42437i | ||||
\(959\) | −0.566740 | + | 0.372750i | −0.0183010 | + | 0.0120367i | ||||
\(960\) | 12.5572 | − | 5.92402i | 0.405283 | − | 0.191197i | ||||
\(961\) | −22.6804 | − | 5.37536i | −0.731626 | − | 0.173399i | ||||
\(962\) | 2.87920 | + | 16.3288i | 0.0928293 | + | 0.526461i | ||||
\(963\) | 38.8839 | − | 2.61377i | 1.25302 | − | 0.0842275i | ||||
\(964\) | −11.1041 | + | 62.9743i | −0.357638 | + | 2.02827i | ||||
\(965\) | −2.23963 | + | 5.19204i | −0.0720962 | + | 0.167138i | ||||
\(966\) | −21.4799 | − | 0.528905i | −0.691105 | − | 0.0170172i | ||||
\(967\) | 16.0167 | − | 53.4996i | 0.515064 | − | 1.72043i | −0.164099 | − | 0.986444i | \(-0.552472\pi\) |
0.679162 | − | 0.733988i | \(-0.262343\pi\) | |||||||
\(968\) | −9.09626 | + | 12.2184i | −0.292365 | + | 0.392714i | ||||
\(969\) | −66.5716 | − | 35.5118i | −2.13859 | − | 1.14080i | ||||
\(970\) | −4.68781 | + | 2.35431i | −0.150517 | + | 0.0755922i | ||||
\(971\) | −6.12547 | −0.196576 | −0.0982879 | − | 0.995158i | \(-0.531337\pi\) | ||||
−0.0982879 | + | 0.995158i | \(0.531337\pi\) | |||||||
\(972\) | −2.19152 | − | 42.5645i | −0.0702931 | − | 1.36526i | ||||
\(973\) | −27.3990 | −0.878370 | ||||||||
\(974\) | −53.6094 | + | 26.9236i | −1.71776 | + | 0.862689i | ||||
\(975\) | −37.3467 | − | 19.9222i | −1.19605 | − | 0.638021i | ||||
\(976\) | 4.27219 | − | 5.73854i | 0.136749 | − | 0.183686i | ||||
\(977\) | −8.18742 | + | 27.3479i | −0.261939 | + | 0.874937i | 0.721301 | + | 0.692621i | \(0.243544\pi\) |
−0.983240 | + | 0.182315i | \(0.941641\pi\) | |||||||
\(978\) | 57.9991 | + | 1.42813i | 1.85461 | + | 0.0456665i | ||||
\(979\) | 7.46620 | − | 17.3086i | 0.238621 | − | 0.553185i | ||||
\(980\) | −1.12141 | + | 6.35984i | −0.0358222 | + | 0.203158i | ||||
\(981\) | 2.35035 | − | 4.78616i | 0.0750409 | − | 0.152810i | ||||
\(982\) | 3.86034 | + | 21.8931i | 0.123188 | + | 0.698636i | ||||
\(983\) | −21.4823 | − | 5.09140i | −0.685179 | − | 0.162390i | −0.126740 | − | 0.991936i | \(-0.540451\pi\) |
−0.558439 | + | 0.829545i | \(0.688600\pi\) | |||||||
\(984\) | −2.79094 | + | 1.31666i | −0.0889719 | + | 0.0419735i | ||||
\(985\) | 4.56266 | − | 3.00091i | 0.145378 | − | 0.0956168i | ||||
\(986\) | 5.09912 | + | 87.5485i | 0.162389 | + | 2.78811i | ||||
\(987\) | −13.6109 | + | 13.7331i | −0.433239 | + | 0.437130i | ||||
\(988\) | 26.6072 | + | 88.8742i | 0.846488 | + | 2.82747i | ||||
\(989\) | −28.2164 | − | 10.2699i | −0.897228 | − | 0.326564i | ||||
\(990\) | 4.39845 | − | 2.59215i | 0.139792 | − | 0.0823841i | ||||
\(991\) | 33.4354 | − | 12.1695i | 1.06211 | − | 0.386577i | 0.248890 | − | 0.968532i | \(-0.419934\pi\) |
0.813221 | + | 0.581955i | \(0.197712\pi\) | |||||||
\(992\) | 12.4715 | + | 16.7521i | 0.395969 | + | 0.531879i | ||||
\(993\) | −36.9178 | + | 29.4600i | −1.17155 | + | 0.934884i | ||||
\(994\) | −31.5660 | + | 7.48128i | −1.00121 | + | 0.237292i | ||||
\(995\) | 3.23166 | + | 7.49182i | 0.102450 | + | 0.237507i | ||||
\(996\) | −19.6247 | + | 25.0489i | −0.621834 | + | 0.793704i | ||||
\(997\) | −30.7695 | − | 20.2374i | −0.974479 | − | 0.640925i | −0.0408497 | − | 0.999165i | \(-0.513006\pi\) |
−0.933629 | + | 0.358240i | \(0.883377\pi\) | |||||||
\(998\) | 9.51222 | − | 16.4757i | 0.301104 | − | 0.521528i | ||||
\(999\) | 5.31970 | + | 5.17889i | 0.168308 | + | 0.163853i |
(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 | 81.2.g.a.25.8 | yes | 144 | |
3.2 | odd | 2 | 243.2.g.a.73.1 | 144 | |||
9.2 | odd | 6 | 729.2.g.b.703.8 | 144 | |||
9.4 | even | 3 | 729.2.g.d.217.1 | 144 | |||
9.5 | odd | 6 | 729.2.g.a.217.8 | 144 | |||
9.7 | even | 3 | 729.2.g.c.703.1 | 144 | |||
81.13 | even | 27 | inner | 81.2.g.a.13.8 | ✓ | 144 | |
81.14 | odd | 54 | 729.2.g.a.514.8 | 144 | |||
81.16 | even | 27 | 6561.2.a.c.1.65 | 72 | |||
81.40 | even | 27 | 729.2.g.c.28.1 | 144 | |||
81.41 | odd | 54 | 729.2.g.b.28.8 | 144 | |||
81.65 | odd | 54 | 6561.2.a.d.1.8 | 72 | |||
81.67 | even | 27 | 729.2.g.d.514.1 | 144 | |||
81.68 | odd | 54 | 243.2.g.a.10.1 | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
81.2.g.a.13.8 | ✓ | 144 | 81.13 | even | 27 | inner | |
81.2.g.a.25.8 | yes | 144 | 1.1 | even | 1 | trivial | |
243.2.g.a.10.1 | 144 | 81.68 | odd | 54 | |||
243.2.g.a.73.1 | 144 | 3.2 | odd | 2 | |||
729.2.g.a.217.8 | 144 | 9.5 | odd | 6 | |||
729.2.g.a.514.8 | 144 | 81.14 | odd | 54 | |||
729.2.g.b.28.8 | 144 | 81.41 | odd | 54 | |||
729.2.g.b.703.8 | 144 | 9.2 | odd | 6 | |||
729.2.g.c.28.1 | 144 | 81.40 | even | 27 | |||
729.2.g.c.703.1 | 144 | 9.7 | even | 3 | |||
729.2.g.d.217.1 | 144 | 9.4 | even | 3 | |||
729.2.g.d.514.1 | 144 | 81.67 | even | 27 | |||
6561.2.a.c.1.65 | 72 | 81.16 | even | 27 | |||
6561.2.a.d.1.8 | 72 | 81.65 | odd | 54 |