Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [847,2,Mod(118,847)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(847, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("847.118");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 847 = 7 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 847.l (of order \(10\), degree \(4\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.76332905120\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{10})\) |
Coefficient field: | \(\Q(\zeta_{40})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - x^{12} + x^{8} - x^{4} + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 5^{4} \) |
Twist minimal: | no (minimal twist has level 77) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 524.1 | ||
Root | \(-0.891007 - 0.453990i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 847.524 |
Dual form | 847.2.l.g.118.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/847\mathbb{Z}\right)^\times\).
\(n\) | \(122\) | \(365\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{7}{10}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.831254 | + | 1.14412i | −0.587785 | + | 0.809017i | −0.994522 | − | 0.104528i | \(-0.966667\pi\) |
0.406737 | + | 0.913545i | \(0.366667\pi\) | |||||||
\(3\) | −2.12663 | − | 0.690983i | −1.22781 | − | 0.398939i | −0.377889 | − | 0.925851i | \(-0.623350\pi\) |
−0.849920 | + | 0.526912i | \(0.823350\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −1.31433 | − | 1.80902i | −0.587785 | − | 0.809017i | 0.406737 | − | 0.913545i | \(-0.366667\pi\) |
−0.994522 | + | 0.104528i | \(0.966667\pi\) | |||||||
\(6\) | 2.55834 | − | 1.85874i | 1.04444 | − | 0.758827i | ||||
\(7\) | −2.50609 | − | 0.848228i | −0.947215 | − | 0.320600i | ||||
\(8\) | −2.68999 | − | 0.874032i | −0.951057 | − | 0.309017i | ||||
\(9\) | 1.61803 | + | 1.17557i | 0.539345 | + | 0.391857i | ||||
\(10\) | 3.16228 | 1.00000 | ||||||||
\(11\) | 0 | 0 | ||||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −5.11667 | − | 3.71748i | −1.41911 | − | 1.03104i | −0.991918 | − | 0.126883i | \(-0.959503\pi\) |
−0.427192 | − | 0.904161i | \(-0.640497\pi\) | |||||||
\(14\) | 3.05368 | − | 2.16219i | 0.816130 | − | 0.577869i | ||||
\(15\) | 1.54508 | + | 4.75528i | 0.398939 | + | 1.22781i | ||||
\(16\) | 3.23607 | − | 2.35114i | 0.809017 | − | 0.587785i | ||||
\(17\) | 0 | 0 | −0.587785 | − | 0.809017i | \(-0.700000\pi\) | ||||
0.587785 | + | 0.809017i | \(0.300000\pi\) | |||||||
\(18\) | −2.68999 | + | 0.874032i | −0.634038 | + | 0.206011i | ||||
\(19\) | −0.977198 | + | 3.00750i | −0.224184 | + | 0.689969i | 0.774189 | + | 0.632955i | \(0.218158\pi\) |
−0.998373 | + | 0.0570143i | \(0.981842\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 4.74342 | + | 3.53553i | 1.03510 | + | 0.771517i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −3.00000 | −0.625543 | −0.312772 | − | 0.949828i | \(-0.601257\pi\) | ||||
−0.312772 | + | 0.949828i | \(0.601257\pi\) | |||||||
\(24\) | 5.11667 | + | 3.71748i | 1.04444 | + | 0.758827i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 8.50651 | − | 2.76393i | 1.66826 | − | 0.542052i | ||||
\(27\) | 1.31433 | + | 1.80902i | 0.252942 | + | 0.348145i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 1.34500 | − | 0.437016i | 0.249760 | − | 0.0811518i | −0.181462 | − | 0.983398i | \(-0.558083\pi\) |
0.431221 | + | 0.902246i | \(0.358083\pi\) | |||||||
\(30\) | −6.72499 | − | 2.18508i | −1.22781 | − | 0.398939i | ||||
\(31\) | 3.94298 | − | 5.42705i | 0.708181 | − | 0.974727i | −0.291654 | − | 0.956524i | \(-0.594205\pi\) |
0.999834 | − | 0.0182031i | \(-0.00579455\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 1.75937 | + | 5.64842i | 0.297388 | + | 0.954757i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −0.309017 | − | 0.951057i | −0.0508021 | − | 0.156353i | 0.922437 | − | 0.386148i | \(-0.126194\pi\) |
−0.973239 | + | 0.229795i | \(0.926194\pi\) | |||||||
\(38\) | −2.62866 | − | 3.61803i | −0.426424 | − | 0.586923i | ||||
\(39\) | 8.31254 | + | 11.4412i | 1.33107 | + | 1.83206i | ||||
\(40\) | 1.95440 | + | 6.01501i | 0.309017 | + | 0.951057i | ||||
\(41\) | −2.93159 | + | 9.02251i | −0.457838 | + | 1.40908i | 0.409933 | + | 0.912116i | \(0.365552\pi\) |
−0.867771 | + | 0.496964i | \(0.834448\pi\) | |||||||
\(42\) | −7.98807 | + | 2.48812i | −1.23259 | + | 0.383926i | ||||
\(43\) | 4.24264i | 0.646997i | 0.946229 | + | 0.323498i | \(0.104859\pi\) | ||||
−0.946229 | + | 0.323498i | \(0.895141\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | − | 4.47214i | − | 0.666667i | ||||||
\(46\) | 2.49376 | − | 3.43237i | 0.367685 | − | 0.506075i | ||||
\(47\) | −4.25325 | − | 1.38197i | −0.620401 | − | 0.201580i | −0.0180826 | − | 0.999836i | \(-0.505756\pi\) |
−0.602318 | + | 0.798256i | \(0.705756\pi\) | |||||||
\(48\) | −8.50651 | + | 2.76393i | −1.22781 | + | 0.398939i | ||||
\(49\) | 5.56102 | + | 4.25148i | 0.794431 | + | 0.607354i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 0 | 0 | 0.587785 | − | 0.809017i | \(-0.300000\pi\) | ||||
−0.587785 | + | 0.809017i | \(0.700000\pi\) | |||||||
\(54\) | −3.16228 | −0.430331 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 6.00000 | + | 4.47214i | 0.801784 | + | 0.597614i | ||||
\(57\) | 4.15627 | − | 5.72061i | 0.550511 | − | 0.757714i | ||||
\(58\) | −0.618034 | + | 1.90211i | −0.0811518 | + | 0.249760i | ||||
\(59\) | −2.12663 | + | 0.690983i | −0.276863 | + | 0.0899583i | −0.444158 | − | 0.895949i | \(-0.646497\pi\) |
0.167294 | + | 0.985907i | \(0.446497\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 2.55834 | − | 1.85874i | 0.327561 | − | 0.237987i | −0.411834 | − | 0.911259i | \(-0.635112\pi\) |
0.739395 | + | 0.673272i | \(0.235112\pi\) | |||||||
\(62\) | 2.93159 | + | 9.02251i | 0.372313 | + | 1.14586i | ||||
\(63\) | −3.05779 | − | 4.31855i | −0.385246 | − | 0.544087i | ||||
\(64\) | 6.47214 | + | 4.70228i | 0.809017 | + | 0.587785i | ||||
\(65\) | 14.1421i | 1.75412i | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 11.0000 | 1.34386 | 0.671932 | − | 0.740613i | \(-0.265465\pi\) | ||||
0.671932 | + | 0.740613i | \(0.265465\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 6.37988 | + | 2.07295i | 0.768047 | + | 0.249554i | ||||
\(70\) | −7.92497 | − | 2.68233i | −0.947215 | − | 0.320600i | ||||
\(71\) | −7.28115 | + | 5.29007i | −0.864114 | + | 0.627815i | −0.929001 | − | 0.370077i | \(-0.879331\pi\) |
0.0648872 | + | 0.997893i | \(0.479331\pi\) | |||||||
\(72\) | −3.32502 | − | 4.57649i | −0.391857 | − | 0.539345i | ||||
\(73\) | −0.977198 | − | 3.00750i | −0.114372 | − | 0.352002i | 0.877443 | − | 0.479680i | \(-0.159247\pi\) |
−0.991816 | + | 0.127679i | \(0.959247\pi\) | |||||||
\(74\) | 1.34500 | + | 0.437016i | 0.156353 | + | 0.0508021i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −20.0000 | −2.26455 | ||||||||
\(79\) | −4.98752 | + | 6.86474i | −0.561140 | + | 0.772343i | −0.991471 | − | 0.130328i | \(-0.958397\pi\) |
0.430331 | + | 0.902671i | \(0.358397\pi\) | |||||||
\(80\) | −8.50651 | − | 2.76393i | −0.951057 | − | 0.309017i | ||||
\(81\) | −3.39919 | − | 10.4616i | −0.377687 | − | 1.16240i | ||||
\(82\) | −7.88597 | − | 10.8541i | −0.870859 | − | 1.19864i | ||||
\(83\) | −7.67501 | + | 5.57622i | −0.842442 | + | 0.612070i | −0.923052 | − | 0.384676i | \(-0.874313\pi\) |
0.0806100 | + | 0.996746i | \(0.474313\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0 | 0 | ||||||||
\(86\) | −4.85410 | − | 3.52671i | −0.523431 | − | 0.380295i | ||||
\(87\) | −3.16228 | −0.339032 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 2.23607i | 0.237023i | 0.992953 | + | 0.118511i | \(0.0378122\pi\) | ||||
−0.992953 | + | 0.118511i | \(0.962188\pi\) | |||||||
\(90\) | 5.11667 | + | 3.71748i | 0.539345 | + | 0.391857i | ||||
\(91\) | 9.66959 | + | 13.6565i | 1.01365 | + | 1.43159i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −12.1353 | + | 8.81678i | −1.25837 | + | 0.914257i | ||||
\(94\) | 5.11667 | − | 3.71748i | 0.527744 | − | 0.383429i | ||||
\(95\) | 6.72499 | − | 2.18508i | 0.689969 | − | 0.224184i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −3.94298 | + | 5.42705i | −0.400349 | + | 0.551034i | −0.960832 | − | 0.277133i | \(-0.910616\pi\) |
0.560482 | + | 0.828166i | \(0.310616\pi\) | |||||||
\(98\) | −9.48683 | + | 2.82843i | −0.958315 | + | 0.285714i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −7.67501 | − | 5.57622i | −0.763692 | − | 0.554855i | 0.136349 | − | 0.990661i | \(-0.456463\pi\) |
−0.900041 | + | 0.435806i | \(0.856463\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 12.7598 | − | 4.14590i | 1.25726 | − | 0.408507i | 0.396741 | − | 0.917931i | \(-0.370141\pi\) |
0.860516 | + | 0.509423i | \(0.170141\pi\) | |||||||
\(104\) | 10.5146 | + | 14.4721i | 1.03104 | + | 1.41911i | ||||
\(105\) | 0.161437 | − | 13.2278i | 0.0157546 | − | 1.29090i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 2.68999 | + | 0.874032i | 0.260052 | + | 0.0844959i | 0.436141 | − | 0.899878i | \(-0.356345\pi\) |
−0.176090 | + | 0.984374i | \(0.556345\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | − | 12.7279i | − | 1.21911i | −0.792742 | − | 0.609557i | \(-0.791347\pi\) | ||
0.792742 | − | 0.609557i | \(-0.208653\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 2.23607i | 0.212238i | ||||||||
\(112\) | −10.1042 | + | 3.14726i | −0.954757 | + | 0.297388i | ||||
\(113\) | −0.927051 | + | 2.85317i | −0.0872096 | + | 0.268404i | −0.985145 | − | 0.171723i | \(-0.945067\pi\) |
0.897936 | + | 0.440127i | \(0.145067\pi\) | |||||||
\(114\) | 3.09017 | + | 9.51057i | 0.289421 | + | 0.890746i | ||||
\(115\) | 3.94298 | + | 5.42705i | 0.367685 | + | 0.506075i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −3.90879 | − | 12.0300i | −0.361368 | − | 1.11218i | ||||
\(118\) | 0.977198 | − | 3.00750i | 0.0899583 | − | 0.276863i | ||||
\(119\) | 0 | 0 | ||||||||
\(120\) | − | 14.1421i | − | 1.29099i | ||||||
\(121\) | 0 | 0 | ||||||||
\(122\) | 4.47214i | 0.404888i | ||||||||
\(123\) | 12.4688 | − | 17.1618i | 1.12427 | − | 1.54743i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −10.6331 | + | 3.45492i | −0.951057 | + | 0.309017i | ||||
\(126\) | 7.48276 | + | 0.0913225i | 0.666617 | + | 0.00813565i | ||||
\(127\) | 7.48128 | + | 10.2971i | 0.663857 | + | 0.913720i | 0.999601 | − | 0.0282327i | \(-0.00898794\pi\) |
−0.335745 | + | 0.941953i | \(0.608988\pi\) | |||||||
\(128\) | −10.7600 | + | 3.49613i | −0.951057 | + | 0.309017i | ||||
\(129\) | 2.93159 | − | 9.02251i | 0.258112 | − | 0.794388i | ||||
\(130\) | −16.1803 | − | 11.7557i | −1.41911 | − | 1.03104i | ||||
\(131\) | 18.9737 | 1.65774 | 0.828868 | − | 0.559444i | \(-0.188985\pi\) | ||||
0.828868 | + | 0.559444i | \(0.188985\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 5.00000 | − | 6.70820i | 0.433555 | − | 0.581675i | ||||
\(134\) | −9.14379 | + | 12.5854i | −0.789903 | + | 1.08721i | ||||
\(135\) | 1.54508 | − | 4.75528i | 0.132980 | − | 0.409270i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 12.1353 | − | 8.81678i | 1.03678 | − | 0.753268i | 0.0671295 | − | 0.997744i | \(-0.478616\pi\) |
0.969655 | + | 0.244476i | \(0.0786159\pi\) | |||||||
\(138\) | −7.67501 | + | 5.57622i | −0.653340 | + | 0.474679i | ||||
\(139\) | −3.90879 | − | 12.0300i | −0.331539 | − | 1.02037i | −0.968402 | − | 0.249395i | \(-0.919768\pi\) |
0.636862 | − | 0.770977i | \(-0.280232\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 8.09017 | + | 5.87785i | 0.681315 | + | 0.495004i | ||||
\(142\) | − | 12.7279i | − | 1.06810i | ||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | 8.00000 | 0.666667 | ||||||||
\(145\) | −2.55834 | − | 1.85874i | −0.212458 | − | 0.154360i | ||||
\(146\) | 4.25325 | + | 1.38197i | 0.352002 | + | 0.114372i | ||||
\(147\) | −8.88851 | − | 12.8839i | −0.733112 | − | 1.06264i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −11.6376 | − | 16.0177i | −0.953386 | − | 1.31222i | −0.950007 | − | 0.312228i | \(-0.898925\pi\) |
−0.00337853 | − | 0.999994i | \(-0.501075\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 16.1400 | + | 5.24419i | 1.31345 | + | 0.426766i | 0.880241 | − | 0.474526i | \(-0.157381\pi\) |
0.433210 | + | 0.901293i | \(0.357381\pi\) | |||||||
\(152\) | 5.25731 | − | 7.23607i | 0.426424 | − | 0.586923i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −15.0000 | −1.20483 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 6.37988 | + | 2.07295i | 0.509170 | + | 0.165439i | 0.552325 | − | 0.833629i | \(-0.313741\pi\) |
−0.0431548 | + | 0.999068i | \(0.513741\pi\) | |||||||
\(158\) | −3.70820 | − | 11.4127i | −0.295009 | − | 0.907944i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 7.51828 | + | 2.54469i | 0.592524 | + | 0.200549i | ||||
\(162\) | 14.7950 | + | 4.80718i | 1.16240 | + | 0.377687i | ||||
\(163\) | 8.09017 | + | 5.87785i | 0.633671 | + | 0.460389i | 0.857670 | − | 0.514200i | \(-0.171911\pi\) |
−0.223999 | + | 0.974589i | \(0.571911\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | − | 13.4164i | − | 1.04132i | ||||||
\(167\) | 7.67501 | + | 5.57622i | 0.593910 | + | 0.431501i | 0.843712 | − | 0.536796i | \(-0.180366\pi\) |
−0.249802 | + | 0.968297i | \(0.580366\pi\) | |||||||
\(168\) | −9.66959 | − | 13.6565i | −0.746025 | − | 1.05362i | ||||
\(169\) | 8.34346 | + | 25.6785i | 0.641805 | + | 1.97527i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −5.11667 | + | 3.71748i | −0.391282 | + | 0.284283i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 2.93159 | − | 9.02251i | 0.222885 | − | 0.685969i | −0.775615 | − | 0.631207i | \(-0.782560\pi\) |
0.998499 | − | 0.0547622i | \(-0.0174401\pi\) | |||||||
\(174\) | 2.62866 | − | 3.61803i | 0.199278 | − | 0.274282i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 5.00000 | 0.375823 | ||||||||
\(178\) | −2.55834 | − | 1.85874i | −0.191755 | − | 0.139318i | ||||
\(179\) | 2.78115 | − | 8.55951i | 0.207873 | − | 0.639768i | −0.791710 | − | 0.610897i | \(-0.790809\pi\) |
0.999583 | − | 0.0288706i | \(-0.00919109\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −11.8290 | − | 16.2812i | −0.879239 | − | 1.21017i | −0.976631 | − | 0.214922i | \(-0.931050\pi\) |
0.0973922 | − | 0.995246i | \(-0.468950\pi\) | |||||||
\(182\) | −23.6626 | − | 0.288787i | −1.75399 | − | 0.0214063i | ||||
\(183\) | −6.72499 | + | 2.18508i | −0.497125 | + | 0.161526i | ||||
\(184\) | 8.06998 | + | 2.62210i | 0.594927 | + | 0.193303i | ||||
\(185\) | −1.31433 | + | 1.80902i | −0.0966313 | + | 0.133002i | ||||
\(186\) | − | 21.2132i | − | 1.55543i | ||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −1.75937 | − | 5.64842i | −0.127975 | − | 0.410862i | ||||
\(190\) | −3.09017 | + | 9.51057i | −0.224184 | + | 0.689969i | ||||
\(191\) | 0.927051 | + | 2.85317i | 0.0670791 | + | 0.206448i | 0.978978 | − | 0.203967i | \(-0.0653837\pi\) |
−0.911899 | + | 0.410416i | \(0.865384\pi\) | |||||||
\(192\) | −10.5146 | − | 14.4721i | −0.758827 | − | 1.04444i | ||||
\(193\) | 2.49376 | + | 3.43237i | 0.179505 | + | 0.247067i | 0.889282 | − | 0.457359i | \(-0.151204\pi\) |
−0.709777 | + | 0.704426i | \(0.751204\pi\) | |||||||
\(194\) | −2.93159 | − | 9.02251i | −0.210476 | − | 0.647779i | ||||
\(195\) | 9.77198 | − | 30.0750i | 0.699786 | − | 2.15372i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | − | 5.65685i | − | 0.403034i | −0.979485 | − | 0.201517i | \(-0.935413\pi\) | ||
0.979485 | − | 0.201517i | \(-0.0645872\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −23.3929 | − | 7.60081i | −1.65001 | − | 0.536120i | ||||
\(202\) | 12.7598 | − | 4.14590i | 0.897774 | − | 0.291704i | ||||
\(203\) | −3.74138 | − | 0.0456612i | −0.262593 | − | 0.00320479i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 20.1750 | − | 6.55524i | 1.40908 | − | 0.457838i | ||||
\(206\) | −5.86319 | + | 18.0450i | −0.408507 | + | 1.25726i | ||||
\(207\) | −4.85410 | − | 3.52671i | −0.337383 | − | 0.245123i | ||||
\(208\) | −25.2982 | −1.75412 | ||||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 15.0000 | + | 11.1803i | 1.03510 | + | 0.771517i | ||||
\(211\) | 12.4688 | − | 17.1618i | 0.858388 | − | 1.18147i | −0.123563 | − | 0.992337i | \(-0.539432\pi\) |
0.981951 | − | 0.189133i | \(-0.0605678\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 19.1396 | − | 6.21885i | 1.31143 | − | 0.426108i | ||||
\(214\) | −3.23607 | + | 2.35114i | −0.221213 | + | 0.160721i | ||||
\(215\) | 7.67501 | − | 5.57622i | 0.523431 | − | 0.380295i | ||||
\(216\) | −1.95440 | − | 6.01501i | −0.132980 | − | 0.409270i | ||||
\(217\) | −14.4849 | + | 10.2562i | −0.983297 | + | 0.696233i | ||||
\(218\) | 14.5623 | + | 10.5801i | 0.986284 | + | 0.716577i | ||||
\(219\) | 7.07107i | 0.477818i | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 0 | 0 | ||||||||
\(222\) | −2.55834 | − | 1.85874i | −0.171704 | − | 0.124750i | ||||
\(223\) | −6.37988 | − | 2.07295i | −0.427228 | − | 0.138815i | 0.0875072 | − | 0.996164i | \(-0.472110\pi\) |
−0.514736 | + | 0.857349i | \(0.672110\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −2.49376 | − | 3.43237i | −0.165883 | − | 0.228318i | ||||
\(227\) | 2.93159 | + | 9.02251i | 0.194577 | + | 0.598845i | 0.999981 | + | 0.00611993i | \(0.00194805\pi\) |
−0.805405 | + | 0.592725i | \(0.798052\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 3.94298 | − | 5.42705i | 0.260560 | − | 0.358630i | −0.658615 | − | 0.752480i | \(-0.728857\pi\) |
0.919174 | + | 0.393851i | \(0.128857\pi\) | |||||||
\(230\) | −9.48683 | −0.625543 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −4.00000 | −0.262613 | ||||||||
\(233\) | −10.8063 | + | 14.8736i | −0.707944 | + | 0.974402i | 0.291895 | + | 0.956450i | \(0.405714\pi\) |
−0.999839 | + | 0.0179512i | \(0.994286\pi\) | |||||||
\(234\) | 17.0130 | + | 5.52786i | 1.11218 | + | 0.361368i | ||||
\(235\) | 3.09017 | + | 9.51057i | 0.201580 | + | 0.620401i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 15.3500 | − | 11.1524i | 0.997091 | − | 0.724429i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 6.72499 | + | 2.18508i | 0.435003 | + | 0.141341i | 0.518329 | − | 0.855181i | \(-0.326554\pi\) |
−0.0833259 | + | 0.996522i | \(0.526554\pi\) | |||||||
\(240\) | 16.1803 | + | 11.7557i | 1.04444 | + | 0.758827i | ||||
\(241\) | −12.6491 | −0.814801 | −0.407400 | − | 0.913250i | \(-0.633565\pi\) | ||||
−0.407400 | + | 0.913250i | \(0.633565\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 17.8885i | 1.14755i | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 0.382001 | − | 15.6478i | 0.0244051 | − | 0.999702i | ||||
\(246\) | 9.27051 | + | 28.5317i | 0.591066 | + | 1.81911i | ||||
\(247\) | 16.1803 | − | 11.7557i | 1.02953 | − | 0.747998i | ||||
\(248\) | −15.3500 | + | 11.1524i | −0.974727 | + | 0.708181i | ||||
\(249\) | 20.1750 | − | 6.55524i | 1.27854 | − | 0.415421i | ||||
\(250\) | 4.88599 | − | 15.0375i | 0.309017 | − | 0.951057i | ||||
\(251\) | −6.57164 | + | 9.04508i | −0.414798 | + | 0.570921i | −0.964381 | − | 0.264519i | \(-0.914787\pi\) |
0.549582 | + | 0.835440i | \(0.314787\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0 | 0 | ||||||||
\(254\) | −18.0000 | −1.12942 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −21.2663 | + | 6.90983i | −1.32655 | + | 0.431023i | −0.884741 | − | 0.466084i | \(-0.845665\pi\) |
−0.441813 | + | 0.897107i | \(0.645665\pi\) | |||||||
\(258\) | 7.88597 | + | 10.8541i | 0.490959 | + | 0.675747i | ||||
\(259\) | −0.0322874 | + | 2.64555i | −0.00200624 | + | 0.164387i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 2.68999 | + | 0.874032i | 0.166506 | + | 0.0541012i | ||||
\(262\) | −15.7719 | + | 21.7082i | −0.974393 | + | 1.34114i | ||||
\(263\) | 11.3137i | 0.697633i | 0.937191 | + | 0.348817i | \(0.113416\pi\) | ||||
−0.937191 | + | 0.348817i | \(0.886584\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 3.51874 | + | 11.2968i | 0.215748 | + | 0.692653i | ||||
\(267\) | 1.54508 | − | 4.75528i | 0.0945577 | − | 0.291019i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 10.5146 | + | 14.4721i | 0.641088 | + | 0.882382i | 0.998673 | − | 0.0514988i | \(-0.0163998\pi\) |
−0.357585 | + | 0.933881i | \(0.616400\pi\) | |||||||
\(270\) | 4.15627 | + | 5.72061i | 0.252942 | + | 0.348145i | ||||
\(271\) | 7.81758 | + | 24.0600i | 0.474884 | + | 1.46154i | 0.846114 | + | 0.533002i | \(0.178936\pi\) |
−0.371230 | + | 0.928541i | \(0.621064\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −11.1272 | − | 35.7237i | −0.673451 | − | 2.16210i | ||||
\(274\) | 21.2132i | 1.28154i | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 2.49376 | − | 3.43237i | 0.149836 | − | 0.206231i | −0.727501 | − | 0.686107i | \(-0.759318\pi\) |
0.877336 | + | 0.479876i | \(0.159318\pi\) | |||||||
\(278\) | 17.0130 | + | 5.52786i | 1.02037 | + | 0.331539i | ||||
\(279\) | 12.7598 | − | 4.14590i | 0.763907 | − | 0.248208i | ||||
\(280\) | 0.204203 | − | 16.7320i | 0.0122035 | − | 0.999926i | ||||
\(281\) | −14.1313 | − | 19.4501i | −0.843004 | − | 1.16029i | −0.985361 | − | 0.170480i | \(-0.945468\pi\) |
0.142358 | − | 0.989815i | \(-0.454532\pi\) | |||||||
\(282\) | −13.4500 | + | 4.37016i | −0.800934 | + | 0.260239i | ||||
\(283\) | 1.95440 | − | 6.01501i | 0.116177 | − | 0.357555i | −0.876014 | − | 0.482286i | \(-0.839807\pi\) |
0.992191 | + | 0.124731i | \(0.0398067\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −15.8114 | −0.936586 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 15.0000 | − | 20.1246i | 0.885422 | − | 1.18792i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −5.25329 | + | 16.1680i | −0.309017 | + | 0.951057i | ||||
\(290\) | 4.25325 | − | 1.38197i | 0.249760 | − | 0.0811518i | ||||
\(291\) | 12.1353 | − | 8.81678i | 0.711381 | − | 0.516849i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −2.93159 | − | 9.02251i | −0.171265 | − | 0.527101i | 0.828178 | − | 0.560465i | \(-0.189378\pi\) |
−0.999443 | + | 0.0333646i | \(0.989378\pi\) | |||||||
\(294\) | 22.1294 | + | 0.540231i | 1.29061 | + | 0.0315069i | ||||
\(295\) | 4.04508 | + | 2.93893i | 0.235514 | + | 0.171111i | ||||
\(296\) | 2.82843i | 0.164399i | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 28.0000 | 1.62200 | ||||||||
\(299\) | 15.3500 | + | 11.1524i | 0.887714 | + | 0.644962i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 3.59873 | − | 10.6325i | 0.207427 | − | 0.612845i | ||||
\(302\) | −19.4164 | + | 14.1068i | −1.11729 | + | 0.811758i | ||||
\(303\) | 12.4688 | + | 17.1618i | 0.716314 | + | 0.985922i | ||||
\(304\) | 3.90879 | + | 12.0300i | 0.224184 | + | 0.689969i | ||||
\(305\) | −6.72499 | − | 2.18508i | −0.385072 | − | 0.125117i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 6.32456 | 0.360961 | 0.180481 | − | 0.983579i | \(-0.442235\pi\) | ||||
0.180481 | + | 0.983579i | \(0.442235\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −30.0000 | −1.70664 | ||||||||
\(310\) | 12.4688 | − | 17.1618i | 0.708181 | − | 0.974727i | ||||
\(311\) | −4.25325 | − | 1.38197i | −0.241180 | − | 0.0783641i | 0.185933 | − | 0.982562i | \(-0.440469\pi\) |
−0.427113 | + | 0.904198i | \(0.640469\pi\) | |||||||
\(312\) | −12.3607 | − | 38.0423i | −0.699786 | − | 2.15372i | ||||
\(313\) | 3.94298 | + | 5.42705i | 0.222871 | + | 0.306755i | 0.905780 | − | 0.423748i | \(-0.139286\pi\) |
−0.682910 | + | 0.730503i | \(0.739286\pi\) | |||||||
\(314\) | −7.67501 | + | 5.57622i | −0.433126 | + | 0.314684i | ||||
\(315\) | −3.79339 | + | 11.2076i | −0.213733 | + | 0.631476i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −16.9894 | − | 12.3435i | −0.954217 | − | 0.693279i | −0.00241678 | − | 0.999997i | \(-0.500769\pi\) |
−0.951801 | + | 0.306718i | \(0.900769\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 0 | 0 | ||||||||
\(320\) | − | 17.8885i | − | 1.00000i | ||||||
\(321\) | −5.11667 | − | 3.71748i | −0.285585 | − | 0.207490i | ||||
\(322\) | −9.16103 | + | 6.48656i | −0.510524 | + | 0.361482i | ||||
\(323\) | 0 | 0 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −13.4500 | + | 4.37016i | −0.744925 | + | 0.242041i | ||||
\(327\) | −8.79478 | + | 27.0675i | −0.486352 | + | 1.49684i | ||||
\(328\) | 15.7719 | − | 21.7082i | 0.870859 | − | 1.19864i | ||||
\(329\) | 9.48683 | + | 7.07107i | 0.523026 | + | 0.389841i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −19.0000 | −1.04433 | −0.522167 | − | 0.852843i | \(-0.674876\pi\) | ||||
−0.522167 | + | 0.852843i | \(0.674876\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 0.618034 | − | 1.90211i | 0.0338681 | − | 0.104235i | ||||
\(334\) | −12.7598 | + | 4.14590i | −0.698183 | + | 0.226853i | ||||
\(335\) | −14.4576 | − | 19.8992i | −0.789903 | − | 1.08721i | ||||
\(336\) | 23.6626 | + | 0.288787i | 1.29090 | + | 0.0157546i | ||||
\(337\) | 16.1400 | − | 5.24419i | 0.879200 | − | 0.285669i | 0.165575 | − | 0.986197i | \(-0.447052\pi\) |
0.713625 | + | 0.700528i | \(0.247052\pi\) | |||||||
\(338\) | −36.3149 | − | 11.7994i | −1.97527 | − | 0.641805i | ||||
\(339\) | 3.94298 | − | 5.42705i | 0.214153 | − | 0.294757i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 0 | 0 | ||||||||
\(342\) | − | 8.94427i | − | 0.483651i | ||||||
\(343\) | −10.3302 | − | 15.3716i | −0.557779 | − | 0.829990i | ||||
\(344\) | 3.70820 | − | 11.4127i | 0.199933 | − | 0.615330i | ||||
\(345\) | −4.63525 | − | 14.2658i | −0.249554 | − | 0.768047i | ||||
\(346\) | 7.88597 | + | 10.8541i | 0.423952 | + | 0.583520i | ||||
\(347\) | 0.831254 | + | 1.14412i | 0.0446240 | + | 0.0614197i | 0.830746 | − | 0.556652i | \(-0.187914\pi\) |
−0.786122 | + | 0.618071i | \(0.787914\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −3.90879 | + | 12.0300i | −0.209233 | + | 0.643952i | 0.790280 | + | 0.612746i | \(0.209935\pi\) |
−0.999513 | + | 0.0312066i | \(0.990065\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | − | 14.1421i | − | 0.754851i | ||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 15.6525i | 0.833097i | 0.909113 | + | 0.416549i | \(0.136760\pi\) | ||||
−0.909113 | + | 0.416549i | \(0.863240\pi\) | |||||||
\(354\) | −4.15627 | + | 5.72061i | −0.220903 | + | 0.304047i | ||||
\(355\) | 19.1396 | + | 6.21885i | 1.01583 | + | 0.330062i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 7.48128 | + | 10.2971i | 0.395398 | + | 0.544219i | ||||
\(359\) | 5.37999 | − | 1.74806i | 0.283945 | − | 0.0922593i | −0.163582 | − | 0.986530i | \(-0.552305\pi\) |
0.447527 | + | 0.894270i | \(0.352305\pi\) | |||||||
\(360\) | −3.90879 | + | 12.0300i | −0.206011 | + | 0.634038i | ||||
\(361\) | 7.28115 | + | 5.29007i | 0.383219 | + | 0.278425i | ||||
\(362\) | 28.4605 | 1.49585 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −4.15627 | + | 5.72061i | −0.217549 | + | 0.299431i | ||||
\(366\) | 3.09017 | − | 9.51057i | 0.161526 | − | 0.497125i | ||||
\(367\) | −31.8994 | + | 10.3647i | −1.66514 | + | 0.541035i | −0.981939 | − | 0.189199i | \(-0.939411\pi\) |
−0.683197 | + | 0.730234i | \(0.739411\pi\) | |||||||
\(368\) | −9.70820 | + | 7.05342i | −0.506075 | + | 0.367685i | ||||
\(369\) | −15.3500 | + | 11.1524i | −0.799090 | + | 0.580573i | ||||
\(370\) | −0.977198 | − | 3.00750i | −0.0508021 | − | 0.156353i | ||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | − | 4.24264i | − | 0.219676i | −0.993950 | − | 0.109838i | \(-0.964967\pi\) | ||
0.993950 | − | 0.109838i | \(-0.0350331\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 25.0000 | 1.29099 | ||||||||
\(376\) | 10.2333 | + | 7.43496i | 0.527744 | + | 0.383429i | ||||
\(377\) | −8.50651 | − | 2.76393i | −0.438107 | − | 0.142350i | ||||
\(378\) | 7.92497 | + | 2.68233i | 0.407616 | + | 0.137964i | ||||
\(379\) | −13.7533 | + | 9.99235i | −0.706459 | + | 0.513273i | −0.882029 | − | 0.471194i | \(-0.843823\pi\) |
0.175570 | + | 0.984467i | \(0.443823\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −8.79478 | − | 27.0675i | −0.450570 | − | 1.38671i | ||||
\(382\) | −4.03499 | − | 1.31105i | −0.206448 | − | 0.0670791i | ||||
\(383\) | −14.4576 | + | 19.8992i | −0.738749 | + | 1.01680i | 0.259940 | + | 0.965625i | \(0.416297\pi\) |
−0.998690 | + | 0.0511763i | \(0.983703\pi\) | |||||||
\(384\) | 25.2982 | 1.29099 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −6.00000 | −0.305392 | ||||||||
\(387\) | −4.98752 | + | 6.86474i | −0.253530 | + | 0.348954i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 0.927051 | + | 2.85317i | 0.0470034 | + | 0.144661i | 0.971804 | − | 0.235791i | \(-0.0757682\pi\) |
−0.924800 | + | 0.380453i | \(0.875768\pi\) | |||||||
\(390\) | 26.2866 | + | 36.1803i | 1.33107 | + | 1.83206i | ||||
\(391\) | 0 | 0 | ||||||||
\(392\) | −11.2432 | − | 16.2970i | −0.567866 | − | 0.823121i | ||||
\(393\) | −40.3499 | − | 13.1105i | −2.03538 | − | 0.661336i | ||||
\(394\) | 6.47214 | + | 4.70228i | 0.326061 | + | 0.236898i | ||||
\(395\) | 18.9737 | 0.954669 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −15.2684 | + | 10.8109i | −0.764376 | + | 0.541224i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −19.4164 | + | 14.1068i | −0.969609 | + | 0.704462i | −0.955362 | − | 0.295436i | \(-0.904535\pi\) |
−0.0142467 | + | 0.999899i | \(0.504535\pi\) | |||||||
\(402\) | 28.1417 | − | 20.4461i | 1.40358 | − | 1.01976i | ||||
\(403\) | −40.3499 | + | 13.1105i | −2.00997 | + | 0.653080i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −14.4576 | + | 19.8992i | −0.718404 | + | 0.988799i | ||||
\(406\) | 3.16228 | − | 4.24264i | 0.156941 | − | 0.210559i | ||||
\(407\) | 0 | 0 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 10.2333 | + | 7.43496i | 0.506006 | + | 0.367635i | 0.811307 | − | 0.584621i | \(-0.198757\pi\) |
−0.305300 | + | 0.952256i | \(0.598757\pi\) | |||||||
\(410\) | −9.27051 | + | 28.5317i | −0.457838 | + | 1.40908i | ||||
\(411\) | −31.8994 | + | 10.3647i | −1.57348 | + | 0.511255i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 5.91564 | + | 0.0721968i | 0.291090 | + | 0.00355257i | ||||
\(414\) | 8.06998 | − | 2.62210i | 0.396618 | − | 0.128869i | ||||
\(415\) | 20.1750 | + | 6.55524i | 0.990350 | + | 0.321784i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 28.2843i | 1.38509i | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 22.3607i | 1.09239i | 0.837658 | + | 0.546195i | \(0.183924\pi\) | ||||
−0.837658 | + | 0.546195i | \(0.816076\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −1.23607 | + | 3.80423i | −0.0602423 | + | 0.185407i | −0.976649 | − | 0.214842i | \(-0.931076\pi\) |
0.916407 | + | 0.400249i | \(0.131076\pi\) | |||||||
\(422\) | 9.27051 | + | 28.5317i | 0.451281 | + | 1.38890i | ||||
\(423\) | −5.25731 | − | 7.23607i | −0.255619 | − | 0.351830i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 0 | 0 | ||||||||
\(426\) | −8.79478 | + | 27.0675i | −0.426108 | + | 1.31143i | ||||
\(427\) | −7.98807 | + | 2.48812i | −0.386570 | + | 0.120409i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 13.4164i | 0.646997i | ||||||||
\(431\) | −20.7813 | + | 28.6031i | −1.00100 | + | 1.37776i | −0.0762938 | + | 0.997085i | \(0.524309\pi\) |
−0.924708 | + | 0.380676i | \(0.875691\pi\) | |||||||
\(432\) | 8.50651 | + | 2.76393i | 0.409270 | + | 0.132980i | ||||
\(433\) | 19.1396 | − | 6.21885i | 0.919793 | − | 0.298859i | 0.189411 | − | 0.981898i | \(-0.439342\pi\) |
0.730382 | + | 0.683039i | \(0.239342\pi\) | |||||||
\(434\) | 0.306305 | − | 25.0979i | 0.0147031 | − | 1.20474i | ||||
\(435\) | 4.15627 | + | 5.72061i | 0.199278 | + | 0.274282i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 2.93159 | − | 9.02251i | 0.140237 | − | 0.431605i | ||||
\(438\) | −8.09017 | − | 5.87785i | −0.386563 | − | 0.280855i | ||||
\(439\) | 15.8114 | 0.754636 | 0.377318 | − | 0.926084i | \(-0.376846\pi\) | ||||
0.377318 | + | 0.926084i | \(0.376846\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 4.00000 | + | 13.4164i | 0.190476 | + | 0.638877i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −4.63525 | + | 14.2658i | −0.220228 | + | 0.677791i | 0.778513 | + | 0.627628i | \(0.215974\pi\) |
−0.998741 | + | 0.0501629i | \(0.984026\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 4.04508 | − | 2.93893i | 0.191755 | − | 0.139318i | ||||
\(446\) | 7.67501 | − | 5.57622i | 0.363422 | − | 0.264042i | ||||
\(447\) | 13.6808 | + | 42.1051i | 0.647078 | + | 1.99150i | ||||
\(448\) | −12.2312 | − | 17.2742i | −0.577869 | − | 0.816130i | ||||
\(449\) | 21.8435 | + | 15.8702i | 1.03086 | + | 0.748961i | 0.968480 | − | 0.249092i | \(-0.0801320\pi\) |
0.0623766 | + | 0.998053i | \(0.480132\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 0 | 0 | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −30.7000 | − | 22.3049i | −1.44241 | − | 1.04797i | ||||
\(454\) | −12.7598 | − | 4.14590i | −0.598845 | − | 0.194577i | ||||
\(455\) | 11.9958 | − | 35.4415i | 0.562370 | − | 1.66152i | ||||
\(456\) | −16.1803 | + | 11.7557i | −0.757714 | + | 0.550511i | ||||
\(457\) | 4.98752 | + | 6.86474i | 0.233306 | + | 0.321119i | 0.909578 | − | 0.415534i | \(-0.136405\pi\) |
−0.676271 | + | 0.736653i | \(0.736405\pi\) | |||||||
\(458\) | 2.93159 | + | 9.02251i | 0.136984 | + | 0.421594i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 9.48683 | 0.441846 | 0.220923 | − | 0.975291i | \(-0.429093\pi\) | ||||
0.220923 | + | 0.975291i | \(0.429093\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −25.0000 | −1.16185 | −0.580924 | − | 0.813958i | \(-0.697309\pi\) | ||||
−0.580924 | + | 0.813958i | \(0.697309\pi\) | |||||||
\(464\) | 3.32502 | − | 4.57649i | 0.154360 | − | 0.212458i | ||||
\(465\) | 31.8994 | + | 10.3647i | 1.47930 | + | 0.480654i | ||||
\(466\) | −8.03444 | − | 24.7275i | −0.372188 | − | 1.14548i | ||||
\(467\) | 6.57164 | + | 9.04508i | 0.304099 | + | 0.418557i | 0.933530 | − | 0.358500i | \(-0.116712\pi\) |
−0.629430 | + | 0.777057i | \(0.716712\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −27.5670 | − | 9.33051i | −1.27293 | − | 0.430843i | ||||
\(470\) | −13.4500 | − | 4.37016i | −0.620401 | − | 0.201580i | ||||
\(471\) | −12.1353 | − | 8.81678i | −0.559163 | − | 0.406256i | ||||
\(472\) | 6.32456 | 0.291111 | ||||||||
\(473\) | 0 | 0 | ||||||||
\(474\) | 26.8328i | 1.23247i | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −8.09017 | + | 5.87785i | −0.370036 | + | 0.268847i | ||||
\(479\) | 15.3500 | − | 11.1524i | 0.701360 | − | 0.509568i | −0.179015 | − | 0.983846i | \(-0.557291\pi\) |
0.880375 | + | 0.474278i | \(0.157291\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −1.95440 | + | 6.01501i | −0.0891127 | + | 0.274261i | ||||
\(482\) | 10.5146 | − | 14.4721i | 0.478928 | − | 0.659188i | ||||
\(483\) | −14.2302 | − | 10.6066i | −0.647499 | − | 0.482617i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 15.0000 | 0.681115 | ||||||||
\(486\) | −20.4667 | − | 14.8699i | −0.928388 | − | 0.674513i | ||||
\(487\) | 8.96149 | − | 27.5806i | 0.406084 | − | 1.24980i | −0.513903 | − | 0.857848i | \(-0.671801\pi\) |
0.919987 | − | 0.391950i | \(-0.128199\pi\) | |||||||
\(488\) | −8.50651 | + | 2.76393i | −0.385072 | + | 0.125117i | ||||
\(489\) | −13.1433 | − | 18.0902i | −0.594360 | − | 0.818066i | ||||
\(490\) | 17.5855 | + | 13.4444i | 0.794431 | + | 0.607354i | ||||
\(491\) | −30.9349 | + | 10.0514i | −1.39607 | + | 0.453612i | −0.907919 | − | 0.419145i | \(-0.862330\pi\) |
−0.488155 | + | 0.872757i | \(0.662330\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 0 | 0 | ||||||||
\(494\) | 28.2843i | 1.27257i | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | − | 26.8328i | − | 1.20483i | ||||||
\(497\) | 22.7344 | − | 7.08133i | 1.01978 | − | 0.317641i | ||||
\(498\) | −9.27051 | + | 28.5317i | −0.415421 | + | 1.27854i | ||||
\(499\) | −4.94427 | − | 15.2169i | −0.221336 | − | 0.681202i | −0.998643 | − | 0.0520806i | \(-0.983415\pi\) |
0.777307 | − | 0.629122i | \(-0.216585\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −12.4688 | − | 17.1618i | −0.557065 | − | 0.766735i | ||||
\(502\) | −4.88599 | − | 15.0375i | −0.218072 | − | 0.671158i | ||||
\(503\) | −8.79478 | + | 27.0675i | −0.392140 | + | 1.20688i | 0.539027 | + | 0.842288i | \(0.318792\pi\) |
−0.931167 | + | 0.364594i | \(0.881208\pi\) | |||||||
\(504\) | 4.45089 | + | 14.2895i | 0.198259 | + | 0.636505i | ||||
\(505\) | 21.2132i | 0.943975i | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | − | 60.3738i | − | 2.68130i | ||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 14.8864 | + | 4.83688i | 0.659828 | + | 0.214391i | 0.619742 | − | 0.784805i | \(-0.287237\pi\) |
0.0400852 | + | 0.999196i | \(0.487237\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −0.102102 | + | 8.36598i | −0.00451671 | + | 0.370089i | ||||
\(512\) | −13.3001 | − | 18.3060i | −0.587785 | − | 0.809017i | ||||
\(513\) | −6.72499 | + | 2.18508i | −0.296915 | + | 0.0964736i | ||||
\(514\) | 9.77198 | − | 30.0750i | 0.431023 | − | 1.32655i | ||||
\(515\) | −24.2705 | − | 17.6336i | −1.06949 | − | 0.777027i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 0 | 0 | ||||||||
\(518\) | −3.00000 | − | 2.23607i | −0.131812 | − | 0.0982472i | ||||
\(519\) | −12.4688 | + | 17.1618i | −0.547320 | + | 0.753321i | ||||
\(520\) | 12.3607 | − | 38.0423i | 0.542052 | − | 1.66826i | ||||
\(521\) | 10.6331 | − | 3.45492i | 0.465846 | − | 0.151363i | −0.0666831 | − | 0.997774i | \(-0.521242\pi\) |
0.532529 | + | 0.846412i | \(0.321242\pi\) | |||||||
\(522\) | −3.23607 | + | 2.35114i | −0.141639 | + | 0.102907i | ||||
\(523\) | 25.5834 | − | 18.5874i | 1.11868 | − | 0.812770i | 0.134674 | − | 0.990890i | \(-0.457001\pi\) |
0.984009 | + | 0.178120i | \(0.0570014\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −12.9443 | − | 9.40456i | −0.564397 | − | 0.410058i | ||||
\(527\) | 0 | 0 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −14.0000 | −0.608696 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −4.25325 | − | 1.38197i | −0.184576 | − | 0.0599722i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 48.5410 | − | 35.2671i | 2.10254 | − | 1.52759i | ||||
\(534\) | 4.15627 | + | 5.72061i | 0.179859 | + | 0.247555i | ||||
\(535\) | −1.95440 | − | 6.01501i | −0.0844959 | − | 0.260052i | ||||
\(536\) | −29.5899 | − | 9.61435i | −1.27809 | − | 0.415277i | ||||
\(537\) | −11.8290 | + | 16.2812i | −0.510457 | + | 0.702584i | ||||
\(538\) | −25.2982 | −1.09068 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 14.9626 | − | 20.5942i | 0.643291 | − | 0.885414i | −0.355495 | − | 0.934678i | \(-0.615688\pi\) |
0.998786 | + | 0.0492640i | \(0.0156876\pi\) | |||||||
\(542\) | −34.0260 | − | 11.0557i | −1.46154 | − | 0.474884i | ||||
\(543\) | 13.9058 | + | 42.7975i | 0.596753 | + | 1.83662i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −23.0250 | + | 16.7287i | −0.986284 | + | 0.716577i | ||||
\(546\) | 50.1219 | + | 16.9646i | 2.14502 | + | 0.726016i | ||||
\(547\) | −8.06998 | − | 2.62210i | −0.345048 | − | 0.112113i | 0.131366 | − | 0.991334i | \(-0.458064\pi\) |
−0.476414 | + | 0.879221i | \(0.658064\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 6.32456 | 0.269925 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 4.47214i | 0.190519i | ||||||||
\(552\) | −15.3500 | − | 11.1524i | −0.653340 | − | 0.474679i | ||||
\(553\) | 18.3221 | − | 12.9731i | 0.779134 | − | 0.551673i | ||||
\(554\) | 1.85410 | + | 5.70634i | 0.0787732 | + | 0.242439i | ||||
\(555\) | 4.04508 | − | 2.93893i | 0.171704 | − | 0.124750i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 21.5200 | − | 6.99226i | 0.911830 | − | 0.296271i | 0.184719 | − | 0.982791i | \(-0.440863\pi\) |
0.727111 | + | 0.686520i | \(0.240863\pi\) | |||||||
\(558\) | −5.86319 | + | 18.0450i | −0.248208 | + | 0.763907i | ||||
\(559\) | 15.7719 | − | 21.7082i | 0.667082 | − | 0.918159i | ||||
\(560\) | 18.9737 | + | 14.1421i | 0.801784 | + | 0.597614i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 34.0000 | 1.43420 | ||||||||
\(563\) | 30.7000 | + | 22.3049i | 1.29385 | + | 0.940039i | 0.999876 | − | 0.0157739i | \(-0.00502119\pi\) |
0.293977 | + | 0.955813i | \(0.405021\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 6.37988 | − | 2.07295i | 0.268404 | − | 0.0872096i | ||||
\(566\) | 5.25731 | + | 7.23607i | 0.220981 | + | 0.304155i | ||||
\(567\) | −0.355161 | + | 29.1011i | −0.0149154 | + | 1.22213i | ||||
\(568\) | 24.2099 | − | 7.86629i | 1.01583 | − | 0.330062i | ||||
\(569\) | 14.7950 | + | 4.80718i | 0.620237 | + | 0.201527i | 0.602246 | − | 0.798311i | \(-0.294273\pi\) |
0.0179916 | + | 0.999838i | \(0.494273\pi\) | |||||||
\(570\) | 13.1433 | − | 18.0902i | 0.550511 | − | 0.757714i | ||||
\(571\) | − | 16.9706i | − | 0.710196i | −0.934829 | − | 0.355098i | \(-0.884448\pi\) | ||
0.934829 | − | 0.355098i | \(-0.115552\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | − | 6.70820i | − | 0.280239i | ||||||
\(574\) | 10.5562 | + | 33.8905i | 0.440608 | + | 1.41456i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 4.94427 | + | 15.2169i | 0.206011 | + | 0.634038i | ||||
\(577\) | 11.8290 | + | 16.2812i | 0.492446 | + | 0.677793i | 0.980837 | − | 0.194832i | \(-0.0624160\pi\) |
−0.488391 | + | 0.872625i | \(0.662416\pi\) | |||||||
\(578\) | −14.1313 | − | 19.4501i | −0.587785 | − | 0.809017i | ||||
\(579\) | −2.93159 | − | 9.02251i | −0.121833 | − | 0.374963i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 23.9642 | − | 7.46437i | 0.994203 | − | 0.309674i | ||||
\(582\) | 21.2132i | 0.879316i | ||||||||
\(583\) | 0 | 0 | ||||||||
\(584\) | 8.94427i | 0.370117i | ||||||||
\(585\) | −16.6251 | + | 22.8825i | −0.687362 | + | 0.946073i | ||||
\(586\) | 12.7598 | + | 4.14590i | 0.527101 | + | 0.171265i | ||||
\(587\) | 4.25325 | − | 1.38197i | 0.175551 | − | 0.0570398i | −0.219923 | − | 0.975517i | \(-0.570581\pi\) |
0.395473 | + | 0.918477i | \(0.370581\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 12.4688 | + | 17.1618i | 0.513768 | + | 0.707141i | ||||
\(590\) | −6.72499 | + | 2.18508i | −0.276863 | + | 0.0899583i | ||||
\(591\) | −3.90879 | + | 12.0300i | −0.160786 | + | 0.494849i | ||||
\(592\) | −3.23607 | − | 2.35114i | −0.133002 | − | 0.0966313i | ||||
\(593\) | −28.4605 | −1.16873 | −0.584366 | − | 0.811490i | \(-0.698657\pi\) | ||||
−0.584366 | + | 0.811490i | \(0.698657\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −25.5195 | + | 8.29180i | −1.04357 | + | 0.339077i | ||||
\(599\) | 9.70820 | − | 7.05342i | 0.396666 | − | 0.288195i | −0.371515 | − | 0.928427i | \(-0.621162\pi\) |
0.768182 | + | 0.640232i | \(0.221162\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 4.88599 | + | 15.0375i | 0.199304 | + | 0.613393i | 0.999899 | + | 0.0141885i | \(0.00451650\pi\) |
−0.800596 | + | 0.599205i | \(0.795483\pi\) | |||||||
\(602\) | 9.17338 | + | 12.9557i | 0.373879 | + | 0.528033i | ||||
\(603\) | 17.7984 | + | 12.9313i | 0.724806 | + | 0.526602i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −30.0000 | −1.21867 | ||||||||
\(607\) | −5.11667 | − | 3.71748i | −0.207679 | − | 0.150888i | 0.479084 | − | 0.877769i | \(-0.340969\pi\) |
−0.686763 | + | 0.726881i | \(0.740969\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 7.92497 | + | 2.68233i | 0.321136 | + | 0.108694i | ||||
\(610\) | 8.09017 | − | 5.87785i | 0.327561 | − | 0.237987i | ||||
\(611\) | 16.6251 | + | 22.8825i | 0.672579 | + | 0.925725i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −24.2099 | − | 7.86629i | −0.977831 | − | 0.317716i | −0.223858 | − | 0.974622i | \(-0.571865\pi\) |
−0.753973 | + | 0.656905i | \(0.771865\pi\) | |||||||
\(614\) | −5.25731 | + | 7.23607i | −0.212168 | + | 0.292024i | ||||
\(615\) | −47.4342 | −1.91273 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 24.0000 | 0.966204 | 0.483102 | − | 0.875564i | \(-0.339510\pi\) | ||||
0.483102 | + | 0.875564i | \(0.339510\pi\) | |||||||
\(618\) | 24.9376 | − | 34.3237i | 1.00314 | − | 1.38070i | ||||
\(619\) | −44.6592 | − | 14.5106i | −1.79500 | − | 0.583232i | −0.795269 | − | 0.606257i | \(-0.792670\pi\) |
−0.999735 | + | 0.0230252i | \(0.992670\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −3.94298 | − | 5.42705i | −0.158226 | − | 0.217780i | ||||
\(622\) | 5.11667 | − | 3.71748i | 0.205160 | − | 0.149057i | ||||
\(623\) | 1.89670 | − | 5.60380i | 0.0759895 | − | 0.224511i | ||||
\(624\) | 53.7999 | + | 17.4806i | 2.15372 | + | 0.699786i | ||||
\(625\) | 20.2254 | + | 14.6946i | 0.809017 | + | 0.587785i | ||||
\(626\) | −9.48683 | −0.379170 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 0 | 0 | ||||||||
\(630\) | −9.66959 | − | 13.6565i | −0.385246 | − | 0.544087i | ||||
\(631\) | 3.39919 | + | 10.4616i | 0.135319 | + | 0.416471i | 0.995640 | − | 0.0932836i | \(-0.0297363\pi\) |
−0.860320 | + | 0.509754i | \(0.829736\pi\) | |||||||
\(632\) | 19.4164 | − | 14.1068i | 0.772343 | − | 0.561140i | ||||
\(633\) | −38.3750 | + | 27.8811i | −1.52527 | + | 1.10817i | ||||
\(634\) | 28.2449 | − | 9.17734i | 1.12175 | − | 0.364479i | ||||
\(635\) | 8.79478 | − | 27.0675i | 0.349010 | − | 1.07414i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −12.6491 | − | 42.4264i | −0.501176 | − | 1.68100i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −18.0000 | −0.712069 | ||||||||
\(640\) | 20.4667 | + | 14.8699i | 0.809017 | + | 0.587785i | ||||
\(641\) | 6.48936 | − | 19.9722i | 0.256314 | − | 0.788854i | −0.737254 | − | 0.675616i | \(-0.763878\pi\) |
0.993568 | − | 0.113238i | \(-0.0361222\pi\) | |||||||
\(642\) | 8.50651 | − | 2.76393i | 0.335725 | − | 0.109084i | ||||
\(643\) | −3.94298 | − | 5.42705i | −0.155496 | − | 0.214022i | 0.724160 | − | 0.689632i | \(-0.242228\pi\) |
−0.879656 | + | 0.475610i | \(0.842228\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −20.1750 | + | 6.55524i | −0.794388 | + | 0.258112i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 17.0863 | − | 23.5172i | 0.671730 | − | 0.924557i | −0.328068 | − | 0.944654i | \(-0.606397\pi\) |
0.999798 | + | 0.0200968i | \(0.00639745\pi\) | |||||||
\(648\) | 31.1127i | 1.22222i | ||||||||
\(649\) | 0 | 0 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 37.8907 | − | 11.8022i | 1.48505 | − | 0.462565i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 4.63525 | + | 14.2658i | 0.181392 | + | 0.558266i | 0.999868 | − | 0.0162749i | \(-0.00518070\pi\) |
−0.818476 | + | 0.574541i | \(0.805181\pi\) | |||||||
\(654\) | −23.6579 | − | 32.5623i | −0.925097 | − | 1.27329i | ||||
\(655\) | −24.9376 | − | 34.3237i | −0.974393 | − | 1.34114i | ||||
\(656\) | 11.7264 | + | 36.0901i | 0.457838 | + | 1.40908i | ||||
\(657\) | 1.95440 | − | 6.01501i | 0.0762482 | − | 0.234668i | ||||
\(658\) | −15.9761 | + | 4.97625i | −0.622815 | + | 0.193994i | ||||
\(659\) | − | 14.1421i | − | 0.550899i | −0.961315 | − | 0.275450i | \(-0.911173\pi\) | ||
0.961315 | − | 0.275450i | \(-0.0888267\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 46.9574i | 1.82643i | 0.407476 | + | 0.913216i | \(0.366409\pi\) | ||||
−0.407476 | + | 0.913216i | \(0.633591\pi\) | |||||||
\(662\) | 15.7938 | − | 21.7383i | 0.613844 | − | 0.844884i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 25.5195 | − | 8.29180i | 0.990350 | − | 0.321784i | ||||
\(665\) | −18.7069 | − | 0.228306i | −0.725422 | − | 0.00885333i | ||||
\(666\) | 1.66251 | + | 2.28825i | 0.0644209 | + | 0.0886677i | ||||
\(667\) | −4.03499 | + | 1.31105i | −0.156235 | + | 0.0507640i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 12.1353 | + | 8.81678i | 0.469176 | + | 0.340876i | ||||
\(670\) | 34.7851 | 1.34386 | ||||||||
\(671\) | 0 | 0 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 17.4563 | − | 24.0266i | 0.672892 | − | 0.926157i | −0.326929 | − | 0.945049i | \(-0.606014\pi\) |
0.999822 | + | 0.0188922i | \(0.00601393\pi\) | |||||||
\(674\) | −7.41641 | + | 22.8254i | −0.285669 | + | 0.879200i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −30.7000 | + | 22.3049i | −1.17990 | + | 0.857246i | −0.992160 | − | 0.124973i | \(-0.960116\pi\) |
−0.187738 | + | 0.982219i | \(0.560116\pi\) | |||||||
\(678\) | 2.93159 | + | 9.02251i | 0.112587 | + | 0.346508i | ||||
\(679\) | 14.4849 | − | 10.2562i | 0.555878 | − | 0.393595i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | − | 21.2132i | − | 0.812892i | ||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 18.0000 | 0.688751 | 0.344375 | − | 0.938832i | \(-0.388091\pi\) | ||||
0.344375 | + | 0.938832i | \(0.388091\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −31.8994 | − | 10.3647i | −1.21881 | − | 0.396017i | ||||
\(686\) | 26.1741 | + | 0.958696i | 0.999330 | + | 0.0366032i | ||||
\(687\) | −12.1353 | + | 8.81678i | −0.462989 | + | 0.336381i | ||||
\(688\) | 9.97505 | + | 13.7295i | 0.380295 | + | 0.523431i | ||||
\(689\) | 0 | 0 | ||||||||
\(690\) | 20.1750 | + | 6.55524i | 0.768047 | + | 0.249554i | ||||
\(691\) | −3.94298 | + | 5.42705i | −0.149998 | + | 0.206455i | −0.877403 | − | 0.479753i | \(-0.840726\pi\) |
0.727405 | + | 0.686208i | \(0.240726\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −2.00000 | −0.0759190 | ||||||||
\(695\) | −16.6251 | + | 22.8825i | −0.630625 | + | 0.867981i | ||||
\(696\) | 8.50651 | + | 2.76393i | 0.322438 | + | 0.104767i | ||||
\(697\) | 0 | 0 | ||||||||
\(698\) | −10.5146 | − | 14.4721i | −0.397984 | − | 0.547778i | ||||
\(699\) | 33.2584 | − | 24.1636i | 1.25795 | − | 0.913952i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 6.72499 | + | 2.18508i | 0.253999 | + | 0.0825293i | 0.433249 | − | 0.901274i | \(-0.357367\pi\) |
−0.179250 | + | 0.983804i | \(0.557367\pi\) | |||||||
\(702\) | 16.1803 | + | 11.7557i | 0.610688 | + | 0.443690i | ||||
\(703\) | 3.16228 | 0.119268 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | − | 22.3607i | − | 0.842152i | ||||||
\(706\) | −17.9084 | − | 13.0112i | −0.673990 | − | 0.489682i | ||||
\(707\) | 14.5044 | + | 20.4847i | 0.545494 | + | 0.770406i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −33.1697 | + | 24.0992i | −1.24571 | + | 0.905064i | −0.997965 | − | 0.0637600i | \(-0.979691\pi\) |
−0.247749 | + | 0.968824i | \(0.579691\pi\) | |||||||
\(710\) | −23.0250 | + | 16.7287i | −0.864114 | + | 0.627815i | ||||
\(711\) | −16.1400 | + | 5.24419i | −0.605296 | + | 0.196673i | ||||
\(712\) | 1.95440 | − | 6.01501i | 0.0732441 | − | 0.225422i | ||||
\(713\) | −11.8290 | + | 16.2812i | −0.442998 | + | 0.609734i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −12.7917 | − | 9.29370i | −0.477714 | − | 0.347080i | ||||
\(718\) | −2.47214 | + | 7.60845i | −0.0922593 | + | 0.283945i | ||||
\(719\) | 48.9124 | − | 15.8926i | 1.82413 | − | 0.592694i | 0.824485 | − | 0.565884i | \(-0.191465\pi\) |
0.999641 | − | 0.0268105i | \(-0.00853506\pi\) | |||||||
\(720\) | −10.5146 | − | 14.4721i | −0.391857 | − | 0.539345i | ||||
\(721\) | −35.4938 | − | 0.433181i | −1.32186 | − | 0.0161325i | ||||
\(722\) | −12.1050 | + | 3.93314i | −0.450500 | + | 0.146376i | ||||
\(723\) | 26.8999 | + | 8.74032i | 1.00042 | + | 0.325056i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 33.5410i | 1.24397i | 0.783030 | + | 0.621984i | \(0.213673\pi\) | ||||
−0.783030 | + | 0.621984i | \(0.786327\pi\) | |||||||
\(728\) | −14.0750 | − | 45.1873i | −0.521653 | − | 1.67475i | ||||
\(729\) | 2.16312 | − | 6.65740i | 0.0801155 | − | 0.246570i | ||||
\(730\) | −3.09017 | − | 9.51057i | −0.114372 | − | 0.352002i | ||||
\(731\) | 0 | 0 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −3.90879 | − | 12.0300i | −0.144374 | − | 0.444339i | 0.852556 | − | 0.522637i | \(-0.175052\pi\) |
−0.996930 | + | 0.0782977i | \(0.975052\pi\) | |||||||
\(734\) | 14.6580 | − | 45.1126i | 0.541035 | − | 1.66514i | ||||
\(735\) | −11.6247 | + | 33.0131i | −0.428785 | + | 1.21771i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 0 | 0 | ||||||||
\(738\) | − | 26.8328i | − | 0.987730i | ||||||
\(739\) | −29.9251 | + | 41.1884i | −1.10081 | + | 1.51514i | −0.266513 | + | 0.963831i | \(0.585872\pi\) |
−0.834301 | + | 0.551309i | \(0.814128\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −42.5325 | + | 13.8197i | −1.56247 | + | 0.507678i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −11.6376 | − | 16.0177i | −0.426940 | − | 0.587633i | 0.540307 | − | 0.841468i | \(-0.318308\pi\) |
−0.967248 | + | 0.253835i | \(0.918308\pi\) | |||||||
\(744\) | 40.3499 | − | 13.1105i | 1.47930 | − | 0.480654i | ||||
\(745\) | −13.6808 | + | 42.1051i | −0.501224 | + | 1.54261i | ||||
\(746\) | 4.85410 | + | 3.52671i | 0.177721 | + | 0.129122i | ||||
\(747\) | −18.9737 | −0.694210 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −6.00000 | − | 4.47214i | −0.219235 | − | 0.163408i | ||||
\(750\) | −20.7813 | + | 28.6031i | −0.758827 | + | 1.04444i | ||||
\(751\) | −2.16312 | + | 6.65740i | −0.0789333 | + | 0.242932i | −0.982735 | − | 0.185020i | \(-0.940765\pi\) |
0.903801 | + | 0.427952i | \(0.140765\pi\) | |||||||
\(752\) | −17.0130 | + | 5.52786i | −0.620401 | + | 0.201580i | ||||
\(753\) | 20.2254 | − | 14.6946i | 0.737055 | − | 0.535502i | ||||
\(754\) | 10.2333 | − | 7.43496i | 0.372676 | − | 0.270765i | ||||
\(755\) | −11.7264 | − | 36.0901i | −0.426766 | − | 1.31345i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −35.5967 | − | 25.8626i | −1.29379 | − | 0.939990i | −0.293911 | − | 0.955833i | \(-0.594957\pi\) |
−0.999875 | + | 0.0158423i | \(0.994957\pi\) | |||||||
\(758\) | − | 24.0416i | − | 0.873231i | ||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −20.0000 | −0.725476 | ||||||||
\(761\) | 30.7000 | + | 22.3049i | 1.11288 | + | 0.808551i | 0.983114 | − | 0.182994i | \(-0.0585789\pi\) |
0.129761 | + | 0.991545i | \(0.458579\pi\) | |||||||
\(762\) | 38.2793 | + | 12.4377i | 1.38671 | + | 0.450570i | ||||
\(763\) | −10.7962 | + | 31.8974i | −0.390848 | + | 1.15476i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −10.7492 | − | 33.0826i | −0.388383 | − | 1.19532i | ||||
\(767\) | 13.4500 | + | 4.37016i | 0.485650 | + | 0.157797i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 6.32456 | 0.228069 | 0.114035 | − | 0.993477i | \(-0.463623\pi\) | ||||
0.114035 | + | 0.993477i | \(0.463623\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 50.0000 | 1.80071 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 8.50651 | + | 2.76393i | 0.305958 | + | 0.0994117i | 0.457972 | − | 0.888967i | \(-0.348576\pi\) |
−0.152014 | + | 0.988378i | \(0.548576\pi\) | |||||||
\(774\) | −3.70820 | − | 11.4127i | −0.133289 | − | 0.410220i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 15.3500 | − | 11.1524i | 0.551034 | − | 0.400349i | ||||
\(777\) | 1.89670 | − | 5.60380i | 0.0680436 | − | 0.201035i | ||||
\(778\) | −4.03499 | − | 1.31105i | −0.144661 | − | 0.0470034i | ||||
\(779\) | −24.2705 | − | 17.6336i | −0.869581 | − | 0.631788i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 0 | 0 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 2.55834 | + | 1.85874i | 0.0914275 | + | 0.0664260i | ||||
\(784\) | 27.9917 | + | 0.683344i | 0.999702 | + | 0.0244051i | ||||
\(785\) | −4.63525 | − | 14.2658i | −0.165439 | − | 0.509170i | ||||
\(786\) | 48.5410 | − | 35.2671i | 1.73140 | − | 1.25794i | ||||
\(787\) | 17.9084 | − | 13.0112i | 0.638364 | − | 0.463799i | −0.220924 | − | 0.975291i | \(-0.570907\pi\) |
0.859288 | + | 0.511493i | \(0.170907\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 7.81758 | − | 24.0600i | 0.278313 | − | 0.856560i | ||||
\(790\) | −15.7719 | + | 21.7082i | −0.561140 | + | 0.772343i | ||||
\(791\) | 4.74342 | − | 6.36396i | 0.168656 | − | 0.226276i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −20.0000 | −0.710221 | ||||||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 22.3436 | + | 30.7533i | 0.791450 | + | 1.08934i | 0.993926 | + | 0.110050i | \(0.0351012\pi\) |
−0.202476 | + | 0.979287i | \(0.564899\pi\) | |||||||
\(798\) | 0.322874 | − | 26.4555i | 0.0114296 | − | 0.936516i | ||||
\(799\) | 0 | 0 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −2.62866 | + | 3.61803i | −0.0928790 | + | 0.127837i | ||||
\(802\) | − | 33.9411i | − | 1.19850i | ||||||
\(803\) | 0 | 0 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −5.27811 | − | 16.9453i | −0.186029 | − | 0.597242i | ||||
\(806\) | 18.5410 | − | 57.0634i | 0.653080 | − | 2.00997i | ||||
\(807\) | −12.3607 | − | 38.0423i | −0.435117 | − | 1.33915i | ||||
\(808\) | 15.7719 | + | 21.7082i | 0.554855 | + | 0.763692i | ||||
\(809\) | −24.1064 | − | 33.1796i | −0.847535 | − | 1.16653i | −0.984401 | − | 0.175942i | \(-0.943703\pi\) |
0.136866 | − | 0.990590i | \(-0.456297\pi\) | |||||||
\(810\) | −10.7492 | − | 33.0826i | −0.377687 | − | 1.16240i | ||||
\(811\) | 7.81758 | − | 24.0600i | 0.274512 | − | 0.844862i | −0.714836 | − | 0.699293i | \(-0.753498\pi\) |
0.989348 | − | 0.145570i | \(-0.0465015\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | − | 56.5685i | − | 1.98395i | ||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | − | 22.3607i | − | 0.783260i | ||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −12.7598 | − | 4.14590i | −0.446408 | − | 0.145047i | ||||
\(818\) | −17.0130 | + | 5.52786i | −0.594846 | + | 0.193277i | ||||
\(819\) | −0.408407 | + | 33.4639i | −0.0142709 | + | 1.16932i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 13.4500 | − | 4.37016i | 0.469407 | − | 0.152520i | −0.0647558 | − | 0.997901i | \(-0.520627\pi\) |
0.534163 | + | 0.845381i | \(0.320627\pi\) | |||||||
\(822\) | 14.6580 | − | 45.1126i | 0.511255 | − | 1.57348i | ||||
\(823\) | 34.7877 | + | 25.2748i | 1.21262 | + | 0.881023i | 0.995466 | − | 0.0951136i | \(-0.0303214\pi\) |
0.217158 | + | 0.976137i | \(0.430321\pi\) | |||||||
\(824\) | −37.9473 | −1.32196 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −5.00000 | + | 6.70820i | −0.173972 | + | 0.233408i | ||||
\(827\) | −13.3001 | + | 18.3060i | −0.462488 | + | 0.636561i | −0.975022 | − | 0.222106i | \(-0.928707\pi\) |
0.512534 | + | 0.858667i | \(0.328707\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 19.1396 | − | 6.21885i | 0.664747 | − | 0.215989i | 0.0428419 | − | 0.999082i | \(-0.486359\pi\) |
0.621905 | + | 0.783092i | \(0.286359\pi\) | |||||||
\(830\) | −24.2705 | + | 17.6336i | −0.842442 | + | 0.612070i | ||||
\(831\) | −7.67501 | + | 5.57622i | −0.266243 | + | 0.193437i | ||||
\(832\) | −15.6352 | − | 48.1201i | −0.542052 | − | 1.66826i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | −32.3607 | − | 23.5114i | −1.12056 | − | 0.814134i | ||||
\(835\) | − | 21.2132i | − | 0.734113i | ||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 15.0000 | 0.518476 | ||||||||
\(838\) | −25.5834 | − | 18.5874i | −0.883763 | − | 0.642091i | ||||
\(839\) | 14.8864 | + | 4.83688i | 0.513935 | + | 0.166988i | 0.554491 | − | 0.832190i | \(-0.312913\pi\) |
−0.0405560 | + | 0.999177i | \(0.512913\pi\) | |||||||
\(840\) | −11.9958 | + | 35.4415i | −0.413893 | + | 1.22285i | ||||
\(841\) | −21.8435 | + | 15.8702i | −0.753223 | + | 0.547248i | ||||
\(842\) | −3.32502 | − | 4.57649i | −0.114588 | − | 0.157716i | ||||
\(843\) | 16.6124 | + | 51.1276i | 0.572160 | + | 1.76093i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 35.4869 | − | 48.8435i | 1.22078 | − | 1.68027i | ||||
\(846\) | 12.6491 | 0.434885 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −8.31254 | + | 11.4412i | −0.285286 | + | 0.392662i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 0.927051 | + | 2.85317i | 0.0317789 | + | 0.0978054i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −20.4667 | + | 14.8699i | −0.700766 | + | 0.509136i | −0.880182 | − | 0.474637i | \(-0.842579\pi\) |
0.179416 | + | 0.983773i | \(0.442579\pi\) | |||||||
\(854\) | 3.79339 | − | 11.2076i | 0.129807 | − | 0.383516i | ||||
\(855\) | 13.4500 | + | 4.37016i | 0.459979 | + | 0.149456i | ||||
\(856\) | −6.47214 | − | 4.70228i | −0.221213 | − | 0.160721i | ||||
\(857\) | −18.9737 | −0.648128 | −0.324064 | − | 0.946035i | \(-0.605049\pi\) | ||||
−0.324064 | + | 0.946035i | \(0.605049\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 6.70820i | 0.228881i | 0.993430 | + | 0.114440i | \(0.0365075\pi\) | ||||
−0.993430 | + | 0.114440i | \(0.963492\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −45.8052 | + | 32.4328i | −1.56104 | + | 1.10531i | ||||
\(862\) | −15.4508 | − | 47.5528i | −0.526258 | − | 1.61966i | ||||
\(863\) | −14.5623 | + | 10.5801i | −0.495707 | + | 0.360152i | −0.807375 | − | 0.590039i | \(-0.799112\pi\) |
0.311668 | + | 0.950191i | \(0.399112\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −20.1750 | + | 6.55524i | −0.685969 | + | 0.222885i | ||||
\(866\) | −8.79478 | + | 27.0675i | −0.298859 | + | 0.919793i | ||||
\(867\) | 22.3436 | − | 30.7533i | 0.758827 | − | 1.04444i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 0 | 0 | ||||||||
\(870\) | −10.0000 | −0.339032 | ||||||||
\(871\) | −56.2834 | − | 40.8923i | −1.90709 | − | 1.38558i | ||||
\(872\) | −11.1246 | + | 34.2380i | −0.376727 | + | 1.15945i | ||||
\(873\) | −12.7598 | + | 4.14590i | −0.431853 | + | 0.140317i | ||||
\(874\) | 7.88597 | + | 10.8541i | 0.266747 | + | 0.367145i | ||||
\(875\) | 29.5782 | + | 0.360984i | 0.999926 | + | 0.0122035i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −4.03499 | − | 1.31105i | −0.136252 | − | 0.0442709i | 0.240097 | − | 0.970749i | \(-0.422821\pi\) |
−0.376349 | + | 0.926478i | \(0.622821\pi\) | |||||||
\(878\) | −13.1433 | + | 18.0902i | −0.443564 | + | 0.610514i | ||||
\(879\) | 21.2132i | 0.715504i | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | − | 51.4296i | − | 1.73271i | −0.499432 | − | 0.866353i | \(-0.666458\pi\) | ||
0.499432 | − | 0.866353i | \(-0.333542\pi\) | |||||||
\(882\) | −18.6750 | − | 6.57595i | −0.628821 | − | 0.221424i | ||||
\(883\) | 2.47214 | − | 7.60845i | 0.0831940 | − | 0.256045i | −0.900804 | − | 0.434227i | \(-0.857022\pi\) |
0.983998 | + | 0.178182i | \(0.0570216\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −6.57164 | − | 9.04508i | −0.220903 | − | 0.304047i | ||||
\(886\) | −12.4688 | − | 17.1618i | −0.418898 | − | 0.576563i | ||||
\(887\) | 5.86319 | + | 18.0450i | 0.196866 | + | 0.605893i | 0.999950 | + | 0.0100259i | \(0.00319140\pi\) |
−0.803083 | + | 0.595867i | \(0.796809\pi\) | |||||||
\(888\) | 1.95440 | − | 6.01501i | 0.0655852 | − | 0.201851i | ||||
\(889\) | −10.0145 | − | 32.1514i | −0.335876 | − | 1.07832i | ||||
\(890\) | 7.07107i | 0.237023i | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 8.31254 | − | 11.4412i | 0.278169 | − | 0.382866i | ||||
\(894\) | −59.5456 | − | 19.3475i | −1.99150 | − | 0.647078i | ||||
\(895\) | −19.1396 | + | 6.21885i | −0.639768 | + | 0.207873i | ||||
\(896\) | 29.9310 | + | 0.365290i | 0.999926 | + | 0.0122035i | ||||
\(897\) | −24.9376 | − | 34.3237i | −0.832643 | − | 1.14603i | ||||
\(898\) | −36.3149 | + | 11.7994i | −1.21184 | + | 0.393752i | ||||
\(899\) | 2.93159 | − | 9.02251i | 0.0977741 | − | 0.300918i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 0 | 0 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −15.0000 | + | 20.1246i | −0.499169 | + | 0.669705i | ||||
\(904\) | 4.98752 | − | 6.86474i | 0.165883 | − | 0.228318i | ||||
\(905\) | −13.9058 | + | 42.7975i | −0.462243 | + | 1.42264i | ||||
\(906\) | 51.0390 | − | 16.5836i | 1.69566 | − | 0.550953i | ||||
\(907\) | 8.09017 | − | 5.87785i | 0.268630 | − | 0.195171i | −0.445313 | − | 0.895375i | \(-0.646908\pi\) |
0.713943 | + | 0.700204i | \(0.246908\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −5.86319 | − | 18.0450i | −0.194470 | − | 0.598516i | ||||
\(910\) | 30.5779 | + | 43.1855i | 1.01365 | + | 1.43159i | ||||
\(911\) | 4.85410 | + | 3.52671i | 0.160824 | + | 0.116845i | 0.665286 | − | 0.746588i | \(-0.268309\pi\) |
−0.504463 | + | 0.863433i | \(0.668309\pi\) | |||||||
\(912\) | − | 28.2843i | − | 0.936586i | ||||||
\(913\) | 0 | 0 | ||||||||
\(914\) | −12.0000 | −0.396925 | ||||||||
\(915\) | 12.7917 | + | 9.29370i | 0.422880 | + | 0.307240i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −47.5498 | − | 16.0940i | −1.57023 | − | 0.531471i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −7.48128 | − | 10.2971i | −0.246785 | − | 0.339670i | 0.667597 | − | 0.744523i | \(-0.267323\pi\) |
−0.914382 | + | 0.404853i | \(0.867323\pi\) | |||||||
\(920\) | −5.86319 | − | 18.0450i | −0.193303 | − | 0.594927i | ||||
\(921\) | −13.4500 | − | 4.37016i | −0.443192 | − | 0.144002i | ||||
\(922\) | −7.88597 | + | 10.8541i | −0.259710 | + | 0.357461i | ||||
\(923\) | 56.9210 | 1.87358 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 0 | 0 | ||||||||
\(926\) | 20.7813 | − | 28.6031i | 0.682917 | − | 0.939955i | ||||
\(927\) | 25.5195 | + | 8.29180i | 0.838171 | + | 0.272338i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −21.0292 | − | 28.9443i | −0.689947 | − | 0.949631i | 0.310052 | − | 0.950720i | \(-0.399653\pi\) |
−0.999999 | + | 0.00108875i | \(0.999653\pi\) | |||||||
\(930\) | −38.3750 | + | 27.8811i | −1.25837 | + | 0.914257i | ||||
\(931\) | −18.2206 | + | 12.5702i | −0.597155 | + | 0.411973i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 8.09017 | + | 5.87785i | 0.264860 | + | 0.192432i | ||||
\(934\) | −15.8114 | −0.517364 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 35.7771i | 1.16941i | ||||||||
\(937\) | 40.9334 | + | 29.7398i | 1.33724 | + | 0.971558i | 0.999541 | + | 0.0303026i | \(0.00964708\pi\) |
0.337695 | + | 0.941256i | \(0.390353\pi\) | |||||||
\(938\) | 33.5905 | − | 23.7841i | 1.09677 | − | 0.776577i | ||||
\(939\) | −4.63525 | − | 14.2658i | −0.151266 | − | 0.465548i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 30.7000 | − | 22.3049i | 1.00079 | − | 0.727118i | 0.0385346 | − | 0.999257i | \(-0.487731\pi\) |
0.962258 | + | 0.272139i | \(0.0877310\pi\) | |||||||
\(942\) | 20.1750 | − | 6.55524i | 0.657336 | − | 0.213581i | ||||
\(943\) | 8.79478 | − | 27.0675i | 0.286397 | − | 0.881440i | ||||
\(944\) | −5.25731 | + | 7.23607i | −0.171111 | + | 0.235514i | ||||
\(945\) | −7.90569 | + | 10.6066i | −0.257172 | + | 0.345033i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −15.0000 | −0.487435 | −0.243717 | − | 0.969846i | \(-0.578367\pi\) | ||||
−0.243717 | + | 0.969846i | \(0.578367\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −6.18034 | + | 19.0211i | −0.200622 | + | 0.617452i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 27.6009 | + | 37.9894i | 0.895020 | + | 1.23189i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 9.41498 | − | 3.05911i | 0.304981 | − | 0.0990944i | −0.152528 | − | 0.988299i | \(-0.548742\pi\) |
0.457510 | + | 0.889205i | \(0.348742\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 3.94298 | − | 5.42705i | 0.127592 | − | 0.175615i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 26.8328i | 0.866929i | ||||||||
\(959\) | −37.8907 | + | 11.8022i | −1.22356 | + | 0.381113i | ||||
\(960\) | −12.3607 | + | 38.0423i | −0.398939 | + | 1.22781i | ||||
\(961\) | −4.32624 | − | 13.3148i | −0.139556 | − | 0.429509i | ||||
\(962\) | −5.25731 | − | 7.23607i | −0.169503 | − | 0.233300i | ||||
\(963\) | 3.32502 | + | 4.57649i | 0.107147 | + | 0.147475i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 2.93159 | − | 9.02251i | 0.0943713 | − | 0.290445i | ||||
\(966\) | 23.9642 | − | 7.46437i | 0.771036 | − | 0.240162i | ||||
\(967\) | 46.6690i | 1.50078i | 0.660998 | + | 0.750388i | \(0.270133\pi\) | ||||
−0.660998 | + | 0.750388i | \(0.729867\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −12.4688 | + | 17.1618i | −0.400349 | + | 0.551034i | ||||
\(971\) | 27.6462 | + | 8.98278i | 0.887207 | + | 0.288271i | 0.716947 | − | 0.697128i | \(-0.245539\pi\) |
0.170261 | + | 0.985399i | \(0.445539\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −0.408407 | + | 33.4639i | −0.0130929 | + | 1.07280i | ||||
\(974\) | 24.1064 | + | 33.1796i | 0.772418 | + | 1.06314i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 3.90879 | − | 12.0300i | 0.125117 | − | 0.385072i | ||||
\(977\) | 16.9894 | + | 12.3435i | 0.543538 | + | 0.394903i | 0.825397 | − | 0.564552i | \(-0.190951\pi\) |
−0.281860 | + | 0.959456i | \(0.590951\pi\) | |||||||
\(978\) | 31.6228 | 1.01118 | ||||||||
\(979\) | 0 | 0 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 14.9626 | − | 20.5942i | 0.477718 | − | 0.657523i | ||||
\(982\) | 14.2148 | − | 43.7486i | 0.453612 | − | 1.39607i | ||||
\(983\) | −27.6462 | + | 8.98278i | −0.881775 | + | 0.286506i | −0.714694 | − | 0.699437i | \(-0.753434\pi\) |
−0.167081 | + | 0.985943i | \(0.553434\pi\) | |||||||
\(984\) | −48.5410 | + | 35.2671i | −1.54743 | + | 1.12427i | ||||
\(985\) | −10.2333 | + | 7.43496i | −0.326061 | + | 0.236898i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −15.2890 | − | 21.5928i | −0.486653 | − | 0.687305i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | − | 12.7279i | − | 0.404724i | ||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −46.0000 | −1.46124 | −0.730619 | − | 0.682785i | \(-0.760768\pi\) | ||||
−0.730619 | + | 0.682785i | \(0.760768\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 40.4059 | + | 13.1287i | 1.28224 | + | 0.416626i | ||||
\(994\) | −10.7962 | + | 31.8974i | −0.342434 | + | 1.01172i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 16.6124 | + | 51.1276i | 0.526119 | + | 1.61923i | 0.762093 | + | 0.647467i | \(0.224172\pi\) |
−0.235974 | + | 0.971759i | \(0.575828\pi\) | |||||||
\(998\) | 21.5200 | + | 6.99226i | 0.681202 | + | 0.221336i | ||||
\(999\) | 1.31433 | − | 1.80902i | 0.0415835 | − | 0.0572348i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))