Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [273,2,Mod(76,273)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(273, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 6, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("273.76");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 273 = 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 273.by (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.17991597518\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Coefficient field: | \(\Q(\zeta_{12})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} - x^{2} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 223.1 | ||
Root | \(0.866025 + 0.500000i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 273.223 |
Dual form | 273.2.by.a.202.1 |
$q$-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 \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(106\) | \(157\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{12}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.500000 | + | 0.133975i | 0.353553 | + | 0.0947343i | 0.431224 | − | 0.902245i | \(-0.358082\pi\) |
−0.0776710 | + | 0.996979i | \(0.524748\pi\) | |||||||
\(3\) | 0.866025 | − | 0.500000i | 0.500000 | − | 0.288675i | ||||
\(4\) | −1.50000 | − | 0.866025i | −0.750000 | − | 0.433013i | ||||
\(5\) | −1.36603 | − | 1.36603i | −0.610905 | − | 0.610905i | 0.332277 | − | 0.943182i | \(-0.392183\pi\) |
−0.943182 | + | 0.332277i | \(0.892183\pi\) | |||||||
\(6\) | 0.500000 | − | 0.133975i | 0.204124 | − | 0.0546949i | ||||
\(7\) | −0.500000 | − | 2.59808i | −0.188982 | − | 0.981981i | ||||
\(8\) | −1.36603 | − | 1.36603i | −0.482963 | − | 0.482963i | ||||
\(9\) | 0.500000 | − | 0.866025i | 0.166667 | − | 0.288675i | ||||
\(10\) | −0.500000 | − | 0.866025i | −0.158114 | − | 0.273861i | ||||
\(11\) | −1.00000 | + | 3.73205i | −0.301511 | + | 1.12526i | 0.634396 | + | 0.773008i | \(0.281249\pi\) |
−0.935907 | + | 0.352247i | \(0.885418\pi\) | |||||||
\(12\) | −1.73205 | −0.500000 | ||||||||
\(13\) | −3.23205 | − | 1.59808i | −0.896410 | − | 0.443227i | ||||
\(14\) | 0.0980762 | − | 1.36603i | 0.0262120 | − | 0.365086i | ||||
\(15\) | −1.86603 | − | 0.500000i | −0.481806 | − | 0.129099i | ||||
\(16\) | 1.23205 | + | 2.13397i | 0.308013 | + | 0.533494i | ||||
\(17\) | 2.59808 | − | 4.50000i | 0.630126 | − | 1.09141i | −0.357400 | − | 0.933952i | \(-0.616337\pi\) |
0.987526 | − | 0.157459i | \(-0.0503301\pi\) | |||||||
\(18\) | 0.366025 | − | 0.366025i | 0.0862730 | − | 0.0862730i | ||||
\(19\) | 2.73205 | − | 0.732051i | 0.626775 | − | 0.167944i | 0.0685694 | − | 0.997646i | \(-0.478157\pi\) |
0.558206 | + | 0.829702i | \(0.311490\pi\) | |||||||
\(20\) | 0.866025 | + | 3.23205i | 0.193649 | + | 0.722709i | ||||
\(21\) | −1.73205 | − | 2.00000i | −0.377964 | − | 0.436436i | ||||
\(22\) | −1.00000 | + | 1.73205i | −0.213201 | + | 0.369274i | ||||
\(23\) | 5.36603 | − | 3.09808i | 1.11889 | − | 0.645994i | 0.177775 | − | 0.984071i | \(-0.443110\pi\) |
0.941118 | + | 0.338078i | \(0.109777\pi\) | |||||||
\(24\) | −1.86603 | − | 0.500000i | −0.380901 | − | 0.102062i | ||||
\(25\) | − | 1.26795i | − | 0.253590i | ||||||
\(26\) | −1.40192 | − | 1.23205i | −0.274940 | − | 0.241625i | ||||
\(27\) | − | 1.00000i | − | 0.192450i | ||||||
\(28\) | −1.50000 | + | 4.33013i | −0.283473 | + | 0.818317i | ||||
\(29\) | 3.50000 | + | 6.06218i | 0.649934 | + | 1.12572i | 0.983138 | + | 0.182864i | \(0.0585367\pi\) |
−0.333205 | + | 0.942855i | \(0.608130\pi\) | |||||||
\(30\) | −0.866025 | − | 0.500000i | −0.158114 | − | 0.0912871i | ||||
\(31\) | 3.26795 | + | 3.26795i | 0.586941 | + | 0.586941i | 0.936802 | − | 0.349861i | \(-0.113771\pi\) |
−0.349861 | + | 0.936802i | \(0.613771\pi\) | |||||||
\(32\) | 1.33013 | + | 4.96410i | 0.235135 | + | 0.877537i | ||||
\(33\) | 1.00000 | + | 3.73205i | 0.174078 | + | 0.649667i | ||||
\(34\) | 1.90192 | − | 1.90192i | 0.326177 | − | 0.326177i | ||||
\(35\) | −2.86603 | + | 4.23205i | −0.484447 | + | 0.715347i | ||||
\(36\) | −1.50000 | + | 0.866025i | −0.250000 | + | 0.144338i | ||||
\(37\) | 2.50000 | − | 9.33013i | 0.410997 | − | 1.53386i | −0.381722 | − | 0.924277i | \(-0.624669\pi\) |
0.792720 | − | 0.609586i | \(-0.208664\pi\) | |||||||
\(38\) | 1.46410 | 0.237509 | ||||||||
\(39\) | −3.59808 | + | 0.232051i | −0.576153 | + | 0.0371579i | ||||
\(40\) | 3.73205i | 0.590089i | ||||||||
\(41\) | −2.40192 | + | 8.96410i | −0.375117 | + | 1.39996i | 0.478056 | + | 0.878330i | \(0.341342\pi\) |
−0.853173 | + | 0.521628i | \(0.825325\pi\) | |||||||
\(42\) | −0.598076 | − | 1.23205i | −0.0922852 | − | 0.190110i | ||||
\(43\) | −6.92820 | − | 4.00000i | −1.05654 | − | 0.609994i | −0.132068 | − | 0.991241i | \(-0.542162\pi\) |
−0.924473 | + | 0.381246i | \(0.875495\pi\) | |||||||
\(44\) | 4.73205 | − | 4.73205i | 0.713384 | − | 0.713384i | ||||
\(45\) | −1.86603 | + | 0.500000i | −0.278171 | + | 0.0745356i | ||||
\(46\) | 3.09808 | − | 0.830127i | 0.456786 | − | 0.122396i | ||||
\(47\) | 2.53590 | − | 2.53590i | 0.369899 | − | 0.369899i | −0.497541 | − | 0.867440i | \(-0.665764\pi\) |
0.867440 | + | 0.497541i | \(0.165764\pi\) | |||||||
\(48\) | 2.13397 | + | 1.23205i | 0.308013 | + | 0.177831i | ||||
\(49\) | −6.50000 | + | 2.59808i | −0.928571 | + | 0.371154i | ||||
\(50\) | 0.169873 | − | 0.633975i | 0.0240237 | − | 0.0896575i | ||||
\(51\) | − | 5.19615i | − | 0.727607i | ||||||
\(52\) | 3.46410 | + | 5.19615i | 0.480384 | + | 0.720577i | ||||
\(53\) | 7.73205 | 1.06208 | 0.531039 | − | 0.847347i | \(-0.321802\pi\) | ||||
0.531039 | + | 0.847347i | \(0.321802\pi\) | |||||||
\(54\) | 0.133975 | − | 0.500000i | 0.0182316 | − | 0.0680414i | ||||
\(55\) | 6.46410 | − | 3.73205i | 0.871619 | − | 0.503230i | ||||
\(56\) | −2.86603 | + | 4.23205i | −0.382989 | + | 0.565532i | ||||
\(57\) | 2.00000 | − | 2.00000i | 0.264906 | − | 0.264906i | ||||
\(58\) | 0.937822 | + | 3.50000i | 0.123142 | + | 0.459573i | ||||
\(59\) | 0.0980762 | + | 0.366025i | 0.0127684 | + | 0.0476524i | 0.972016 | − | 0.234914i | \(-0.0754809\pi\) |
−0.959248 | + | 0.282567i | \(0.908814\pi\) | |||||||
\(60\) | 2.36603 | + | 2.36603i | 0.305453 | + | 0.305453i | ||||
\(61\) | −5.59808 | − | 3.23205i | −0.716760 | − | 0.413822i | 0.0967989 | − | 0.995304i | \(-0.469140\pi\) |
−0.813559 | + | 0.581482i | \(0.802473\pi\) | |||||||
\(62\) | 1.19615 | + | 2.07180i | 0.151912 | + | 0.263118i | ||||
\(63\) | −2.50000 | − | 0.866025i | −0.314970 | − | 0.109109i | ||||
\(64\) | − | 2.26795i | − | 0.283494i | ||||||
\(65\) | 2.23205 | + | 6.59808i | 0.276852 | + | 0.818391i | ||||
\(66\) | 2.00000i | 0.246183i | ||||||||
\(67\) | −10.5622 | − | 2.83013i | −1.29038 | − | 0.345755i | −0.452572 | − | 0.891728i | \(-0.649494\pi\) |
−0.837803 | + | 0.545973i | \(0.816160\pi\) | |||||||
\(68\) | −7.79423 | + | 4.50000i | −0.945189 | + | 0.545705i | ||||
\(69\) | 3.09808 | − | 5.36603i | 0.372965 | − | 0.645994i | ||||
\(70\) | −2.00000 | + | 1.73205i | −0.239046 | + | 0.207020i | ||||
\(71\) | 1.46410 | + | 5.46410i | 0.173757 | + | 0.648470i | 0.996760 | + | 0.0804327i | \(0.0256302\pi\) |
−0.823003 | + | 0.568037i | \(0.807703\pi\) | |||||||
\(72\) | −1.86603 | + | 0.500000i | −0.219913 | + | 0.0589256i | ||||
\(73\) | −8.29423 | + | 8.29423i | −0.970766 | + | 0.970766i | −0.999585 | − | 0.0288186i | \(-0.990825\pi\) |
0.0288186 | + | 0.999585i | \(0.490825\pi\) | |||||||
\(74\) | 2.50000 | − | 4.33013i | 0.290619 | − | 0.503367i | ||||
\(75\) | −0.633975 | − | 1.09808i | −0.0732051 | − | 0.126795i | ||||
\(76\) | −4.73205 | − | 1.26795i | −0.542803 | − | 0.145444i | ||||
\(77\) | 10.1962 | + | 0.732051i | 1.16196 | + | 0.0834249i | ||||
\(78\) | −1.83013 | − | 0.366025i | −0.207221 | − | 0.0414442i | ||||
\(79\) | 15.6603 | 1.76192 | 0.880958 | − | 0.473194i | \(-0.156899\pi\) | ||||
0.880958 | + | 0.473194i | \(0.156899\pi\) | |||||||
\(80\) | 1.23205 | − | 4.59808i | 0.137747 | − | 0.514081i | ||||
\(81\) | −0.500000 | − | 0.866025i | −0.0555556 | − | 0.0962250i | ||||
\(82\) | −2.40192 | + | 4.16025i | −0.265248 | + | 0.459423i | ||||
\(83\) | −6.92820 | − | 6.92820i | −0.760469 | − | 0.760469i | 0.215938 | − | 0.976407i | \(-0.430719\pi\) |
−0.976407 | + | 0.215938i | \(0.930719\pi\) | |||||||
\(84\) | 0.866025 | + | 4.50000i | 0.0944911 | + | 0.490990i | ||||
\(85\) | −9.69615 | + | 2.59808i | −1.05170 | + | 0.281801i | ||||
\(86\) | −2.92820 | − | 2.92820i | −0.315756 | − | 0.315756i | ||||
\(87\) | 6.06218 | + | 3.50000i | 0.649934 | + | 0.375239i | ||||
\(88\) | 6.46410 | − | 3.73205i | 0.689076 | − | 0.397838i | ||||
\(89\) | 9.83013 | + | 2.63397i | 1.04199 | + | 0.279201i | 0.738938 | − | 0.673773i | \(-0.235327\pi\) |
0.303053 | + | 0.952974i | \(0.401994\pi\) | |||||||
\(90\) | −1.00000 | −0.105409 | ||||||||
\(91\) | −2.53590 | + | 9.19615i | −0.265834 | + | 0.964019i | ||||
\(92\) | −10.7321 | −1.11889 | ||||||||
\(93\) | 4.46410 | + | 1.19615i | 0.462906 | + | 0.124035i | ||||
\(94\) | 1.60770 | − | 0.928203i | 0.165821 | − | 0.0957369i | ||||
\(95\) | −4.73205 | − | 2.73205i | −0.485498 | − | 0.280302i | ||||
\(96\) | 3.63397 | + | 3.63397i | 0.370891 | + | 0.370891i | ||||
\(97\) | 5.09808 | − | 1.36603i | 0.517631 | − | 0.138699i | 0.00946053 | − | 0.999955i | \(-0.496989\pi\) |
0.508171 | + | 0.861256i | \(0.330322\pi\) | |||||||
\(98\) | −3.59808 | + | 0.428203i | −0.363461 | + | 0.0432551i | ||||
\(99\) | 2.73205 | + | 2.73205i | 0.274581 | + | 0.274581i | ||||
\(100\) | −1.09808 | + | 1.90192i | −0.109808 | + | 0.190192i | ||||
\(101\) | −1.96410 | − | 3.40192i | −0.195435 | − | 0.338504i | 0.751608 | − | 0.659610i | \(-0.229279\pi\) |
−0.947043 | + | 0.321106i | \(0.895945\pi\) | |||||||
\(102\) | 0.696152 | − | 2.59808i | 0.0689294 | − | 0.257248i | ||||
\(103\) | 6.92820 | 0.682656 | 0.341328 | − | 0.939944i | \(-0.389123\pi\) | ||||
0.341328 | + | 0.939944i | \(0.389123\pi\) | |||||||
\(104\) | 2.23205 | + | 6.59808i | 0.218871 | + | 0.646995i | ||||
\(105\) | −0.366025 | + | 5.09808i | −0.0357204 | + | 0.497521i | ||||
\(106\) | 3.86603 | + | 1.03590i | 0.375502 | + | 0.100615i | ||||
\(107\) | 3.73205 | + | 6.46410i | 0.360791 | + | 0.624908i | 0.988091 | − | 0.153869i | \(-0.0491734\pi\) |
−0.627300 | + | 0.778777i | \(0.715840\pi\) | |||||||
\(108\) | −0.866025 | + | 1.50000i | −0.0833333 | + | 0.144338i | ||||
\(109\) | 7.73205 | − | 7.73205i | 0.740596 | − | 0.740596i | −0.232097 | − | 0.972693i | \(-0.574559\pi\) |
0.972693 | + | 0.232097i | \(0.0745585\pi\) | |||||||
\(110\) | 3.73205 | − | 1.00000i | 0.355837 | − | 0.0953463i | ||||
\(111\) | −2.50000 | − | 9.33013i | −0.237289 | − | 0.885576i | ||||
\(112\) | 4.92820 | − | 4.26795i | 0.465671 | − | 0.403283i | ||||
\(113\) | −0.767949 | + | 1.33013i | −0.0722426 | + | 0.125128i | −0.899884 | − | 0.436130i | \(-0.856349\pi\) |
0.827641 | + | 0.561257i | \(0.189682\pi\) | |||||||
\(114\) | 1.26795 | − | 0.732051i | 0.118754 | − | 0.0685628i | ||||
\(115\) | −11.5622 | − | 3.09808i | −1.07818 | − | 0.288897i | ||||
\(116\) | − | 12.1244i | − | 1.12572i | ||||||
\(117\) | −3.00000 | + | 2.00000i | −0.277350 | + | 0.184900i | ||||
\(118\) | 0.196152i | 0.0180573i | ||||||||
\(119\) | −12.9904 | − | 4.50000i | −1.19083 | − | 0.412514i | ||||
\(120\) | 1.86603 | + | 3.23205i | 0.170344 | + | 0.295045i | ||||
\(121\) | −3.40192 | − | 1.96410i | −0.309266 | − | 0.178555i | ||||
\(122\) | −2.36603 | − | 2.36603i | −0.214210 | − | 0.214210i | ||||
\(123\) | 2.40192 | + | 8.96410i | 0.216574 | + | 0.808266i | ||||
\(124\) | −2.07180 | − | 7.73205i | −0.186053 | − | 0.694359i | ||||
\(125\) | −8.56218 | + | 8.56218i | −0.765824 | + | 0.765824i | ||||
\(126\) | −1.13397 | − | 0.767949i | −0.101022 | − | 0.0684144i | ||||
\(127\) | 9.75833 | − | 5.63397i | 0.865912 | − | 0.499934i | −7.57430e−5 | − | 1.00000i | \(-0.500024\pi\) |
0.865988 | + | 0.500066i | \(0.166691\pi\) | |||||||
\(128\) | 2.96410 | − | 11.0622i | 0.261992 | − | 0.977768i | ||||
\(129\) | −8.00000 | −0.704361 | ||||||||
\(130\) | 0.232051 | + | 3.59808i | 0.0203522 | + | 0.315572i | ||||
\(131\) | − | 14.1962i | − | 1.24032i | −0.784474 | − | 0.620162i | \(-0.787067\pi\) | ||
0.784474 | − | 0.620162i | \(-0.212933\pi\) | |||||||
\(132\) | 1.73205 | − | 6.46410i | 0.150756 | − | 0.562628i | ||||
\(133\) | −3.26795 | − | 6.73205i | −0.283367 | − | 0.583743i | ||||
\(134\) | −4.90192 | − | 2.83013i | −0.423462 | − | 0.244486i | ||||
\(135\) | −1.36603 | + | 1.36603i | −0.117569 | + | 0.117569i | ||||
\(136\) | −9.69615 | + | 2.59808i | −0.831438 | + | 0.222783i | ||||
\(137\) | −11.0622 | + | 2.96410i | −0.945106 | + | 0.253240i | −0.698284 | − | 0.715821i | \(-0.746053\pi\) |
−0.246821 | + | 0.969061i | \(0.579386\pi\) | |||||||
\(138\) | 2.26795 | − | 2.26795i | 0.193061 | − | 0.193061i | ||||
\(139\) | 7.09808 | + | 4.09808i | 0.602051 | + | 0.347594i | 0.769848 | − | 0.638227i | \(-0.220332\pi\) |
−0.167797 | + | 0.985822i | \(0.553665\pi\) | |||||||
\(140\) | 7.96410 | − | 3.86603i | 0.673089 | − | 0.326739i | ||||
\(141\) | 0.928203 | − | 3.46410i | 0.0781688 | − | 0.291730i | ||||
\(142\) | 2.92820i | 0.245729i | ||||||||
\(143\) | 9.19615 | − | 10.4641i | 0.769021 | − | 0.875052i | ||||
\(144\) | 2.46410 | 0.205342 | ||||||||
\(145\) | 3.50000 | − | 13.0622i | 0.290659 | − | 1.08475i | ||||
\(146\) | −5.25833 | + | 3.03590i | −0.435183 | + | 0.251253i | ||||
\(147\) | −4.33013 | + | 5.50000i | −0.357143 | + | 0.453632i | ||||
\(148\) | −11.8301 | + | 11.8301i | −0.972430 | + | 0.972430i | ||||
\(149\) | 0.526279 | + | 1.96410i | 0.0431145 | + | 0.160905i | 0.984127 | − | 0.177467i | \(-0.0567903\pi\) |
−0.941012 | + | 0.338372i | \(0.890124\pi\) | |||||||
\(150\) | −0.169873 | − | 0.633975i | −0.0138701 | − | 0.0517638i | ||||
\(151\) | 0 | 0 | 0.707107 | − | 0.707107i | \(-0.250000\pi\) | ||||
−0.707107 | + | 0.707107i | \(0.750000\pi\) | |||||||
\(152\) | −4.73205 | − | 2.73205i | −0.383820 | − | 0.221599i | ||||
\(153\) | −2.59808 | − | 4.50000i | −0.210042 | − | 0.363803i | ||||
\(154\) | 5.00000 | + | 1.73205i | 0.402911 | + | 0.139573i | ||||
\(155\) | − | 8.92820i | − | 0.717131i | ||||||
\(156\) | 5.59808 | + | 2.76795i | 0.448205 | + | 0.221613i | ||||
\(157\) | 1.33975i | 0.106923i | 0.998570 | + | 0.0534617i | \(0.0170255\pi\) | ||||
−0.998570 | + | 0.0534617i | \(0.982975\pi\) | |||||||
\(158\) | 7.83013 | + | 2.09808i | 0.622931 | + | 0.166914i | ||||
\(159\) | 6.69615 | − | 3.86603i | 0.531039 | − | 0.306596i | ||||
\(160\) | 4.96410 | − | 8.59808i | 0.392447 | − | 0.679738i | ||||
\(161\) | −10.7321 | − | 12.3923i | −0.845804 | − | 0.976650i | ||||
\(162\) | −0.133975 | − | 0.500000i | −0.0105260 | − | 0.0392837i | ||||
\(163\) | −1.63397 | + | 0.437822i | −0.127983 | + | 0.0342929i | −0.322242 | − | 0.946657i | \(-0.604436\pi\) |
0.194259 | + | 0.980950i | \(0.437770\pi\) | |||||||
\(164\) | 11.3660 | − | 11.3660i | 0.887537 | − | 0.887537i | ||||
\(165\) | 3.73205 | − | 6.46410i | 0.290540 | − | 0.503230i | ||||
\(166\) | −2.53590 | − | 4.39230i | −0.196824 | − | 0.340909i | ||||
\(167\) | −0.633975 | − | 0.169873i | −0.0490584 | − | 0.0131452i | 0.234206 | − | 0.972187i | \(-0.424751\pi\) |
−0.283265 | + | 0.959042i | \(0.591418\pi\) | |||||||
\(168\) | −0.366025 | + | 5.09808i | −0.0282395 | + | 0.393325i | ||||
\(169\) | 7.89230 | + | 10.3301i | 0.607100 | + | 0.794625i | ||||
\(170\) | −5.19615 | −0.398527 | ||||||||
\(171\) | 0.732051 | − | 2.73205i | 0.0559813 | − | 0.208925i | ||||
\(172\) | 6.92820 | + | 12.0000i | 0.528271 | + | 0.914991i | ||||
\(173\) | −11.6603 | + | 20.1962i | −0.886513 | + | 1.53549i | −0.0425427 | + | 0.999095i | \(0.513546\pi\) |
−0.843970 | + | 0.536390i | \(0.819787\pi\) | |||||||
\(174\) | 2.56218 | + | 2.56218i | 0.194238 | + | 0.194238i | ||||
\(175\) | −3.29423 | + | 0.633975i | −0.249020 | + | 0.0479240i | ||||
\(176\) | −9.19615 | + | 2.46410i | −0.693186 | + | 0.185739i | ||||
\(177\) | 0.267949 | + | 0.267949i | 0.0201403 | + | 0.0201403i | ||||
\(178\) | 4.56218 | + | 2.63397i | 0.341950 | + | 0.197425i | ||||
\(179\) | 9.63397 | − | 5.56218i | 0.720077 | − | 0.415737i | −0.0947040 | − | 0.995505i | \(-0.530190\pi\) |
0.814781 | + | 0.579769i | \(0.196857\pi\) | |||||||
\(180\) | 3.23205 | + | 0.866025i | 0.240903 | + | 0.0645497i | ||||
\(181\) | −7.92820 | −0.589299 | −0.294649 | − | 0.955605i | \(-0.595203\pi\) | ||||
−0.294649 | + | 0.955605i | \(0.595203\pi\) | |||||||
\(182\) | −2.50000 | + | 4.25833i | −0.185312 | + | 0.315648i | ||||
\(183\) | −6.46410 | −0.477840 | ||||||||
\(184\) | −11.5622 | − | 3.09808i | −0.852375 | − | 0.228393i | ||||
\(185\) | −16.1603 | + | 9.33013i | −1.18813 | + | 0.685965i | ||||
\(186\) | 2.07180 | + | 1.19615i | 0.151912 | + | 0.0877062i | ||||
\(187\) | 14.1962 | + | 14.1962i | 1.03813 | + | 1.03813i | ||||
\(188\) | −6.00000 | + | 1.60770i | −0.437595 | + | 0.117253i | ||||
\(189\) | −2.59808 | + | 0.500000i | −0.188982 | + | 0.0363696i | ||||
\(190\) | −2.00000 | − | 2.00000i | −0.145095 | − | 0.145095i | ||||
\(191\) | 6.26795 | − | 10.8564i | 0.453533 | − | 0.785542i | −0.545070 | − | 0.838391i | \(-0.683497\pi\) |
0.998603 | + | 0.0528488i | \(0.0168301\pi\) | |||||||
\(192\) | −1.13397 | − | 1.96410i | −0.0818376 | − | 0.141747i | ||||
\(193\) | −2.25833 | + | 8.42820i | −0.162558 | + | 0.606675i | 0.835781 | + | 0.549063i | \(0.185015\pi\) |
−0.998339 | + | 0.0576122i | \(0.981651\pi\) | |||||||
\(194\) | 2.73205 | 0.196150 | ||||||||
\(195\) | 5.23205 | + | 4.59808i | 0.374675 | + | 0.329275i | ||||
\(196\) | 12.0000 | + | 1.73205i | 0.857143 | + | 0.123718i | ||||
\(197\) | −9.83013 | − | 2.63397i | −0.700368 | − | 0.187663i | −0.108972 | − | 0.994045i | \(-0.534756\pi\) |
−0.591395 | + | 0.806382i | \(0.701423\pi\) | |||||||
\(198\) | 1.00000 | + | 1.73205i | 0.0710669 | + | 0.123091i | ||||
\(199\) | 9.26795 | − | 16.0526i | 0.656987 | − | 1.13794i | −0.324404 | − | 0.945919i | \(-0.605164\pi\) |
0.981392 | − | 0.192017i | \(-0.0615029\pi\) | |||||||
\(200\) | −1.73205 | + | 1.73205i | −0.122474 | + | 0.122474i | ||||
\(201\) | −10.5622 | + | 2.83013i | −0.744999 | + | 0.199622i | ||||
\(202\) | −0.526279 | − | 1.96410i | −0.0370289 | − | 0.138194i | ||||
\(203\) | 14.0000 | − | 12.1244i | 0.982607 | − | 0.850963i | ||||
\(204\) | −4.50000 | + | 7.79423i | −0.315063 | + | 0.545705i | ||||
\(205\) | 15.5263 | − | 8.96410i | 1.08440 | − | 0.626080i | ||||
\(206\) | 3.46410 | + | 0.928203i | 0.241355 | + | 0.0646710i | ||||
\(207\) | − | 6.19615i | − | 0.430662i | ||||||
\(208\) | −0.571797 | − | 8.86603i | −0.0396470 | − | 0.614748i | ||||
\(209\) | 10.9282i | 0.755920i | ||||||||
\(210\) | −0.866025 | + | 2.50000i | −0.0597614 | + | 0.172516i | ||||
\(211\) | 4.19615 | + | 7.26795i | 0.288875 | + | 0.500346i | 0.973542 | − | 0.228510i | \(-0.0733855\pi\) |
−0.684666 | + | 0.728857i | \(0.740052\pi\) | |||||||
\(212\) | −11.5981 | − | 6.69615i | −0.796559 | − | 0.459894i | ||||
\(213\) | 4.00000 | + | 4.00000i | 0.274075 | + | 0.274075i | ||||
\(214\) | 1.00000 | + | 3.73205i | 0.0683586 | + | 0.255118i | ||||
\(215\) | 4.00000 | + | 14.9282i | 0.272798 | + | 1.01810i | ||||
\(216\) | −1.36603 | + | 1.36603i | −0.0929463 | + | 0.0929463i | ||||
\(217\) | 6.85641 | − | 10.1244i | 0.465443 | − | 0.687286i | ||||
\(218\) | 4.90192 | − | 2.83013i | 0.332000 | − | 0.191680i | ||||
\(219\) | −3.03590 | + | 11.3301i | −0.205147 | + | 0.765619i | ||||
\(220\) | −12.9282 | −0.871619 | ||||||||
\(221\) | −15.5885 | + | 10.3923i | −1.04859 | + | 0.699062i | ||||
\(222\) | − | 5.00000i | − | 0.335578i | ||||||
\(223\) | −2.50962 | + | 9.36603i | −0.168057 | + | 0.627195i | 0.829574 | + | 0.558397i | \(0.188583\pi\) |
−0.997631 | + | 0.0687987i | \(0.978083\pi\) | |||||||
\(224\) | 12.2321 | − | 5.93782i | 0.817288 | − | 0.396737i | ||||
\(225\) | −1.09808 | − | 0.633975i | −0.0732051 | − | 0.0422650i | ||||
\(226\) | −0.562178 | + | 0.562178i | −0.0373955 | + | 0.0373955i | ||||
\(227\) | 9.36603 | − | 2.50962i | 0.621645 | − | 0.166569i | 0.0657695 | − | 0.997835i | \(-0.479050\pi\) |
0.555875 | + | 0.831266i | \(0.312383\pi\) | |||||||
\(228\) | −4.73205 | + | 1.26795i | −0.313388 | + | 0.0839720i | ||||
\(229\) | −12.1244 | + | 12.1244i | −0.801200 | + | 0.801200i | −0.983283 | − | 0.182083i | \(-0.941716\pi\) |
0.182083 | + | 0.983283i | \(0.441716\pi\) | |||||||
\(230\) | −5.36603 | − | 3.09808i | −0.353825 | − | 0.204281i | ||||
\(231\) | 9.19615 | − | 4.46410i | 0.605062 | − | 0.293716i | ||||
\(232\) | 3.50000 | − | 13.0622i | 0.229786 | − | 0.857574i | ||||
\(233\) | 2.00000i | 0.131024i | 0.997852 | + | 0.0655122i | \(0.0208681\pi\) | ||||
−0.997852 | + | 0.0655122i | \(0.979132\pi\) | |||||||
\(234\) | −1.76795 | + | 0.598076i | −0.115574 | + | 0.0390975i | ||||
\(235\) | −6.92820 | −0.451946 | ||||||||
\(236\) | 0.169873 | − | 0.633975i | 0.0110578 | − | 0.0412682i | ||||
\(237\) | 13.5622 | − | 7.83013i | 0.880958 | − | 0.508621i | ||||
\(238\) | −5.89230 | − | 3.99038i | −0.381941 | − | 0.258658i | ||||
\(239\) | −0.339746 | + | 0.339746i | −0.0219763 | + | 0.0219763i | −0.718010 | − | 0.696033i | \(-0.754947\pi\) |
0.696033 | + | 0.718010i | \(0.254947\pi\) | |||||||
\(240\) | −1.23205 | − | 4.59808i | −0.0795285 | − | 0.296805i | ||||
\(241\) | 6.52628 | + | 24.3564i | 0.420395 | + | 1.56893i | 0.773779 | + | 0.633456i | \(0.218364\pi\) |
−0.353384 | + | 0.935478i | \(0.614969\pi\) | |||||||
\(242\) | −1.43782 | − | 1.43782i | −0.0924267 | − | 0.0924267i | ||||
\(243\) | −0.866025 | − | 0.500000i | −0.0555556 | − | 0.0320750i | ||||
\(244\) | 5.59808 | + | 9.69615i | 0.358380 | + | 0.620733i | ||||
\(245\) | 12.4282 | + | 5.33013i | 0.794009 | + | 0.340529i | ||||
\(246\) | 4.80385i | 0.306282i | ||||||||
\(247\) | −10.0000 | − | 2.00000i | −0.636285 | − | 0.127257i | ||||
\(248\) | − | 8.92820i | − | 0.566941i | ||||||
\(249\) | −9.46410 | − | 2.53590i | −0.599763 | − | 0.160706i | ||||
\(250\) | −5.42820 | + | 3.13397i | −0.343310 | + | 0.198210i | ||||
\(251\) | −13.5622 | + | 23.4904i | −0.856037 | + | 1.48270i | 0.0196425 | + | 0.999807i | \(0.493747\pi\) |
−0.875680 | + | 0.482893i | \(0.839586\pi\) | |||||||
\(252\) | 3.00000 | + | 3.46410i | 0.188982 | + | 0.218218i | ||||
\(253\) | 6.19615 | + | 23.1244i | 0.389549 | + | 1.45382i | ||||
\(254\) | 5.63397 | − | 1.50962i | 0.353507 | − | 0.0947219i | ||||
\(255\) | −7.09808 | + | 7.09808i | −0.444499 | + | 0.444499i | ||||
\(256\) | 0.696152 | − | 1.20577i | 0.0435095 | − | 0.0753607i | ||||
\(257\) | 4.69615 | + | 8.13397i | 0.292938 | + | 0.507383i | 0.974503 | − | 0.224374i | \(-0.0720337\pi\) |
−0.681565 | + | 0.731757i | \(0.738700\pi\) | |||||||
\(258\) | −4.00000 | − | 1.07180i | −0.249029 | − | 0.0667272i | ||||
\(259\) | −25.4904 | − | 1.83013i | −1.58390 | − | 0.113719i | ||||
\(260\) | 2.36603 | − | 11.8301i | 0.146735 | − | 0.733673i | ||||
\(261\) | 7.00000 | 0.433289 | ||||||||
\(262\) | 1.90192 | − | 7.09808i | 0.117501 | − | 0.438521i | ||||
\(263\) | −11.6603 | − | 20.1962i | −0.719002 | − | 1.24535i | −0.961396 | − | 0.275170i | \(-0.911266\pi\) |
0.242393 | − | 0.970178i | \(-0.422068\pi\) | |||||||
\(264\) | 3.73205 | − | 6.46410i | 0.229692 | − | 0.397838i | ||||
\(265\) | −10.5622 | − | 10.5622i | −0.648829 | − | 0.648829i | ||||
\(266\) | −0.732051 | − | 3.80385i | −0.0448849 | − | 0.233229i | ||||
\(267\) | 9.83013 | − | 2.63397i | 0.601594 | − | 0.161197i | ||||
\(268\) | 13.3923 | + | 13.3923i | 0.818065 | + | 0.818065i | ||||
\(269\) | 0.928203 | + | 0.535898i | 0.0565935 | + | 0.0326743i | 0.528030 | − | 0.849226i | \(-0.322931\pi\) |
−0.471436 | + | 0.881900i | \(0.656264\pi\) | |||||||
\(270\) | −0.866025 | + | 0.500000i | −0.0527046 | + | 0.0304290i | ||||
\(271\) | 4.09808 | + | 1.09808i | 0.248940 | + | 0.0667034i | 0.381131 | − | 0.924521i | \(-0.375535\pi\) |
−0.132191 | + | 0.991224i | \(0.542201\pi\) | |||||||
\(272\) | 12.8038 | 0.776347 | ||||||||
\(273\) | 2.40192 | + | 9.23205i | 0.145371 | + | 0.558749i | ||||
\(274\) | −5.92820 | −0.358136 | ||||||||
\(275\) | 4.73205 | + | 1.26795i | 0.285353 | + | 0.0764602i | ||||
\(276\) | −9.29423 | + | 5.36603i | −0.559447 | + | 0.322997i | ||||
\(277\) | 15.2321 | + | 8.79423i | 0.915205 | + | 0.528394i | 0.882102 | − | 0.471058i | \(-0.156128\pi\) |
0.0331030 | + | 0.999452i | \(0.489461\pi\) | |||||||
\(278\) | 3.00000 | + | 3.00000i | 0.179928 | + | 0.179928i | ||||
\(279\) | 4.46410 | − | 1.19615i | 0.267259 | − | 0.0716118i | ||||
\(280\) | 9.69615 | − | 1.86603i | 0.579456 | − | 0.111516i | ||||
\(281\) | 11.0263 | + | 11.0263i | 0.657773 | + | 0.657773i | 0.954853 | − | 0.297080i | \(-0.0960128\pi\) |
−0.297080 | + | 0.954853i | \(0.596013\pi\) | |||||||
\(282\) | 0.928203 | − | 1.60770i | 0.0552737 | − | 0.0957369i | ||||
\(283\) | 6.26795 | + | 10.8564i | 0.372591 | + | 0.645346i | 0.989963 | − | 0.141325i | \(-0.0451361\pi\) |
−0.617372 | + | 0.786671i | \(0.711803\pi\) | |||||||
\(284\) | 2.53590 | − | 9.46410i | 0.150478 | − | 0.561591i | ||||
\(285\) | −5.46410 | −0.323665 | ||||||||
\(286\) | 6.00000 | − | 4.00000i | 0.354787 | − | 0.236525i | ||||
\(287\) | 24.4904 | + | 1.75833i | 1.44562 | + | 0.103791i | ||||
\(288\) | 4.96410 | + | 1.33013i | 0.292512 | + | 0.0783785i | ||||
\(289\) | −5.00000 | − | 8.66025i | −0.294118 | − | 0.509427i | ||||
\(290\) | 3.50000 | − | 6.06218i | 0.205527 | − | 0.355983i | ||||
\(291\) | 3.73205 | − | 3.73205i | 0.218777 | − | 0.218777i | ||||
\(292\) | 19.6244 | − | 5.25833i | 1.14843 | − | 0.307721i | ||||
\(293\) | −0.258330 | − | 0.964102i | −0.0150918 | − | 0.0563234i | 0.957969 | − | 0.286871i | \(-0.0926150\pi\) |
−0.973061 | + | 0.230547i | \(0.925948\pi\) | |||||||
\(294\) | −2.90192 | + | 2.16987i | −0.169244 | + | 0.126550i | ||||
\(295\) | 0.366025 | − | 0.633975i | 0.0213108 | − | 0.0369114i | ||||
\(296\) | −16.1603 | + | 9.33013i | −0.939296 | + | 0.542303i | ||||
\(297\) | 3.73205 | + | 1.00000i | 0.216556 | + | 0.0580259i | ||||
\(298\) | 1.05256i | 0.0609731i | ||||||||
\(299\) | −22.2942 | + | 1.43782i | −1.28931 | + | 0.0831514i | ||||
\(300\) | 2.19615i | 0.126795i | ||||||||
\(301\) | −6.92820 | + | 20.0000i | −0.399335 | + | 1.15278i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −3.40192 | − | 1.96410i | −0.195435 | − | 0.112835i | ||||
\(304\) | 4.92820 | + | 4.92820i | 0.282652 | + | 0.282652i | ||||
\(305\) | 3.23205 | + | 12.0622i | 0.185067 | + | 0.690678i | ||||
\(306\) | −0.696152 | − | 2.59808i | −0.0397964 | − | 0.148522i | ||||
\(307\) | 3.92820 | − | 3.92820i | 0.224194 | − | 0.224194i | −0.586068 | − | 0.810262i | \(-0.699325\pi\) |
0.810262 | + | 0.586068i | \(0.199325\pi\) | |||||||
\(308\) | −14.6603 | − | 9.92820i | −0.835346 | − | 0.565712i | ||||
\(309\) | 6.00000 | − | 3.46410i | 0.341328 | − | 0.197066i | ||||
\(310\) | 1.19615 | − | 4.46410i | 0.0679369 | − | 0.253544i | ||||
\(311\) | 13.6603 | 0.774602 | 0.387301 | − | 0.921953i | \(-0.373407\pi\) | ||||
0.387301 | + | 0.921953i | \(0.373407\pi\) | |||||||
\(312\) | 5.23205 | + | 4.59808i | 0.296207 | + | 0.260315i | ||||
\(313\) | − | 9.60770i | − | 0.543059i | −0.962430 | − | 0.271530i | \(-0.912471\pi\) | ||
0.962430 | − | 0.271530i | \(-0.0875295\pi\) | |||||||
\(314\) | −0.179492 | + | 0.669873i | −0.0101293 | + | 0.0378031i | ||||
\(315\) | 2.23205 | + | 4.59808i | 0.125762 | + | 0.259072i | ||||
\(316\) | −23.4904 | − | 13.5622i | −1.32144 | − | 0.762932i | ||||
\(317\) | −22.7583 | + | 22.7583i | −1.27824 | + | 1.27824i | −0.336580 | + | 0.941655i | \(0.609270\pi\) |
−0.941655 | + | 0.336580i | \(0.890730\pi\) | |||||||
\(318\) | 3.86603 | − | 1.03590i | 0.216796 | − | 0.0580903i | ||||
\(319\) | −26.1244 | + | 7.00000i | −1.46268 | + | 0.391925i | ||||
\(320\) | −3.09808 | + | 3.09808i | −0.173188 | + | 0.173188i | ||||
\(321\) | 6.46410 | + | 3.73205i | 0.360791 | + | 0.208303i | ||||
\(322\) | −3.70577 | − | 7.63397i | −0.206515 | − | 0.425425i | ||||
\(323\) | 3.80385 | − | 14.1962i | 0.211652 | − | 0.789895i | ||||
\(324\) | 1.73205i | 0.0962250i | ||||||||
\(325\) | −2.02628 | + | 4.09808i | −0.112398 | + | 0.227320i | ||||
\(326\) | −0.875644 | −0.0484975 | ||||||||
\(327\) | 2.83013 | − | 10.5622i | 0.156506 | − | 0.584090i | ||||
\(328\) | 15.5263 | − | 8.96410i | 0.857295 | − | 0.494960i | ||||
\(329\) | −7.85641 | − | 5.32051i | −0.433138 | − | 0.293329i | ||||
\(330\) | 2.73205 | − | 2.73205i | 0.150394 | − | 0.150394i | ||||
\(331\) | −1.75833 | − | 6.56218i | −0.0966466 | − | 0.360690i | 0.900617 | − | 0.434613i | \(-0.143115\pi\) |
−0.997264 | + | 0.0739229i | \(0.976448\pi\) | |||||||
\(332\) | 4.39230 | + | 16.3923i | 0.241059 | + | 0.899645i | ||||
\(333\) | −6.83013 | − | 6.83013i | −0.374289 | − | 0.374289i | ||||
\(334\) | −0.294229 | − | 0.169873i | −0.0160995 | − | 0.00929504i | ||||
\(335\) | 10.5622 | + | 18.2942i | 0.577073 | + | 0.999520i | ||||
\(336\) | 2.13397 | − | 6.16025i | 0.116418 | − | 0.336069i | ||||
\(337\) | − | 24.4641i | − | 1.33264i | −0.745664 | − | 0.666322i | \(-0.767868\pi\) | ||
0.745664 | − | 0.666322i | \(-0.232132\pi\) | |||||||
\(338\) | 2.56218 | + | 6.22243i | 0.139364 | + | 0.338456i | ||||
\(339\) | 1.53590i | 0.0834185i | ||||||||
\(340\) | 16.7942 | + | 4.50000i | 0.910795 | + | 0.244047i | ||||
\(341\) | −15.4641 | + | 8.92820i | −0.837428 | + | 0.483489i | ||||
\(342\) | 0.732051 | − | 1.26795i | 0.0395848 | − | 0.0685628i | ||||
\(343\) | 10.0000 | + | 15.5885i | 0.539949 | + | 0.841698i | ||||
\(344\) | 4.00000 | + | 14.9282i | 0.215666 | + | 0.804875i | ||||
\(345\) | −11.5622 | + | 3.09808i | −0.622487 | + | 0.166795i | ||||
\(346\) | −8.53590 | + | 8.53590i | −0.458893 | + | 0.458893i | ||||
\(347\) | −2.83013 | + | 4.90192i | −0.151929 | + | 0.263149i | −0.931937 | − | 0.362621i | \(-0.881882\pi\) |
0.780007 | + | 0.625770i | \(0.215215\pi\) | |||||||
\(348\) | −6.06218 | − | 10.5000i | −0.324967 | − | 0.562859i | ||||
\(349\) | 4.56218 | + | 1.22243i | 0.244208 | + | 0.0654353i | 0.378847 | − | 0.925459i | \(-0.376321\pi\) |
−0.134639 | + | 0.990895i | \(0.542987\pi\) | |||||||
\(350\) | −1.73205 | − | 0.124356i | −0.0925820 | − | 0.00664709i | ||||
\(351\) | −1.59808 | + | 3.23205i | −0.0852990 | + | 0.172514i | ||||
\(352\) | −19.8564 | −1.05835 | ||||||||
\(353\) | 2.69615 | − | 10.0622i | 0.143502 | − | 0.535556i | −0.856316 | − | 0.516453i | \(-0.827252\pi\) |
0.999818 | − | 0.0191031i | \(-0.00608109\pi\) | |||||||
\(354\) | 0.0980762 | + | 0.169873i | 0.00521269 | + | 0.00902865i | ||||
\(355\) | 5.46410 | − | 9.46410i | 0.290004 | − | 0.502302i | ||||
\(356\) | −12.4641 | − | 12.4641i | −0.660596 | − | 0.660596i | ||||
\(357\) | −13.5000 | + | 2.59808i | −0.714496 | + | 0.137505i | ||||
\(358\) | 5.56218 | − | 1.49038i | 0.293970 | − | 0.0787691i | ||||
\(359\) | −8.80385 | − | 8.80385i | −0.464649 | − | 0.464649i | 0.435527 | − | 0.900176i | \(-0.356562\pi\) |
−0.900176 | + | 0.435527i | \(0.856562\pi\) | |||||||
\(360\) | 3.23205 | + | 1.86603i | 0.170344 | + | 0.0983482i | ||||
\(361\) | −9.52628 | + | 5.50000i | −0.501383 | + | 0.289474i | ||||
\(362\) | −3.96410 | − | 1.06218i | −0.208349 | − | 0.0558268i | ||||
\(363\) | −3.92820 | −0.206177 | ||||||||
\(364\) | 11.7679 | − | 11.5981i | 0.616808 | − | 0.607904i | ||||
\(365\) | 22.6603 | 1.18609 | ||||||||
\(366\) | −3.23205 | − | 0.866025i | −0.168942 | − | 0.0452679i | ||||
\(367\) | 10.2224 | − | 5.90192i | 0.533607 | − | 0.308078i | −0.208877 | − | 0.977942i | \(-0.566981\pi\) |
0.742484 | + | 0.669864i | \(0.233648\pi\) | |||||||
\(368\) | 13.2224 | + | 7.63397i | 0.689267 | + | 0.397948i | ||||
\(369\) | 6.56218 | + | 6.56218i | 0.341613 | + | 0.341613i | ||||
\(370\) | −9.33013 | + | 2.50000i | −0.485050 | + | 0.129969i | ||||
\(371\) | −3.86603 | − | 20.0885i | −0.200714 | − | 1.04294i | ||||
\(372\) | −5.66025 | − | 5.66025i | −0.293471 | − | 0.293471i | ||||
\(373\) | −12.1340 | + | 21.0167i | −0.628273 | + | 1.08820i | 0.359625 | + | 0.933097i | \(0.382905\pi\) |
−0.987898 | + | 0.155104i | \(0.950429\pi\) | |||||||
\(374\) | 5.19615 | + | 9.00000i | 0.268687 | + | 0.465379i | ||||
\(375\) | −3.13397 | + | 11.6962i | −0.161838 | + | 0.603987i | ||||
\(376\) | −6.92820 | −0.357295 | ||||||||
\(377\) | −1.62436 | − | 25.1865i | −0.0836586 | − | 1.29717i | ||||
\(378\) | −1.36603 | − | 0.0980762i | −0.0702608 | − | 0.00504450i | ||||
\(379\) | 27.1244 | + | 7.26795i | 1.39328 | + | 0.373329i | 0.875929 | − | 0.482441i | \(-0.160250\pi\) |
0.517356 | + | 0.855770i | \(0.326916\pi\) | |||||||
\(380\) | 4.73205 | + | 8.19615i | 0.242749 | + | 0.420454i | ||||
\(381\) | 5.63397 | − | 9.75833i | 0.288637 | − | 0.499934i | ||||
\(382\) | 4.58846 | − | 4.58846i | 0.234766 | − | 0.234766i | ||||
\(383\) | 16.7583 | − | 4.49038i | 0.856311 | − | 0.229448i | 0.196152 | − | 0.980574i | \(-0.437156\pi\) |
0.660159 | + | 0.751126i | \(0.270489\pi\) | |||||||
\(384\) | −2.96410 | − | 11.0622i | −0.151261 | − | 0.564514i | ||||
\(385\) | −12.9282 | − | 14.9282i | −0.658882 | − | 0.760812i | ||||
\(386\) | −2.25833 | + | 3.91154i | −0.114946 | + | 0.199092i | ||||
\(387\) | −6.92820 | + | 4.00000i | −0.352180 | + | 0.203331i | ||||
\(388\) | −8.83013 | − | 2.36603i | −0.448282 | − | 0.120117i | ||||
\(389\) | 26.2679i | 1.33184i | 0.746024 | + | 0.665919i | \(0.231960\pi\) | ||||
−0.746024 | + | 0.665919i | \(0.768040\pi\) | |||||||
\(390\) | 2.00000 | + | 3.00000i | 0.101274 | + | 0.151911i | ||||
\(391\) | − | 32.1962i | − | 1.62823i | ||||||
\(392\) | 12.4282 | + | 5.33013i | 0.627719 | + | 0.269212i | ||||
\(393\) | −7.09808 | − | 12.2942i | −0.358051 | − | 0.620162i | ||||
\(394\) | −4.56218 | − | 2.63397i | −0.229839 | − | 0.132698i | ||||
\(395\) | −21.3923 | − | 21.3923i | −1.07636 | − | 1.07636i | ||||
\(396\) | −1.73205 | − | 6.46410i | −0.0870388 | − | 0.324833i | ||||
\(397\) | −5.22243 | − | 19.4904i | −0.262106 | − | 0.978194i | −0.963998 | − | 0.265910i | \(-0.914328\pi\) |
0.701891 | − | 0.712284i | \(-0.252339\pi\) | |||||||
\(398\) | 6.78461 | − | 6.78461i | 0.340082 | − | 0.340082i | ||||
\(399\) | −6.19615 | − | 4.19615i | −0.310196 | − | 0.210070i | ||||
\(400\) | 2.70577 | − | 1.56218i | 0.135289 | − | 0.0781089i | ||||
\(401\) | −2.33013 | + | 8.69615i | −0.116361 | + | 0.434265i | −0.999385 | − | 0.0350625i | \(-0.988837\pi\) |
0.883024 | + | 0.469328i | \(0.155504\pi\) | |||||||
\(402\) | −5.66025 | −0.282308 | ||||||||
\(403\) | −5.33975 | − | 15.7846i | −0.265992 | − | 0.786287i | ||||
\(404\) | 6.80385i | 0.338504i | ||||||||
\(405\) | −0.500000 | + | 1.86603i | −0.0248452 | + | 0.0927235i | ||||
\(406\) | 8.62436 | − | 4.18653i | 0.428020 | − | 0.207774i | ||||
\(407\) | 32.3205 | + | 18.6603i | 1.60207 | + | 0.924954i | ||||
\(408\) | −7.09808 | + | 7.09808i | −0.351407 | + | 0.351407i | ||||
\(409\) | −0.232051 | + | 0.0621778i | −0.0114742 | + | 0.00307450i | −0.264552 | − | 0.964372i | \(-0.585224\pi\) |
0.253077 | + | 0.967446i | \(0.418557\pi\) | |||||||
\(410\) | 8.96410 | − | 2.40192i | 0.442705 | − | 0.118623i | ||||
\(411\) | −8.09808 | + | 8.09808i | −0.399449 | + | 0.399449i | ||||
\(412\) | −10.3923 | − | 6.00000i | −0.511992 | − | 0.295599i | ||||
\(413\) | 0.901924 | − | 0.437822i | 0.0443808 | − | 0.0215438i | ||||
\(414\) | 0.830127 | − | 3.09808i | 0.0407985 | − | 0.152262i | ||||
\(415\) | 18.9282i | 0.929149i | ||||||||
\(416\) | 3.63397 | − | 18.1699i | 0.178170 | − | 0.890851i | ||||
\(417\) | 8.19615 | 0.401367 | ||||||||
\(418\) | −1.46410 | + | 5.46410i | −0.0716116 | + | 0.267258i | ||||
\(419\) | −9.33975 | + | 5.39230i | −0.456276 | + | 0.263431i | −0.710477 | − | 0.703720i | \(-0.751521\pi\) |
0.254201 | + | 0.967151i | \(0.418188\pi\) | |||||||
\(420\) | 4.96410 | − | 7.33013i | 0.242223 | − | 0.357674i | ||||
\(421\) | 27.7583 | − | 27.7583i | 1.35286 | − | 1.35286i | 0.470411 | − | 0.882448i | \(-0.344106\pi\) |
0.882448 | − | 0.470411i | \(-0.155894\pi\) | |||||||
\(422\) | 1.12436 | + | 4.19615i | 0.0547328 | + | 0.204266i | ||||
\(423\) | −0.928203 | − | 3.46410i | −0.0451308 | − | 0.168430i | ||||
\(424\) | −10.5622 | − | 10.5622i | −0.512945 | − | 0.512945i | ||||
\(425\) | −5.70577 | − | 3.29423i | −0.276771 | − | 0.159794i | ||||
\(426\) | 1.46410 | + | 2.53590i | 0.0709360 | + | 0.122865i | ||||
\(427\) | −5.59808 | + | 16.1603i | −0.270910 | + | 0.782050i | ||||
\(428\) | − | 12.9282i | − | 0.624908i | ||||||
\(429\) | 2.73205 | − | 13.6603i | 0.131905 | − | 0.659523i | ||||
\(430\) | 8.00000i | 0.385794i | ||||||||
\(431\) | −2.63397 | − | 0.705771i | −0.126874 | − | 0.0339958i | 0.194823 | − | 0.980838i | \(-0.437587\pi\) |
−0.321697 | + | 0.946843i | \(0.604253\pi\) | |||||||
\(432\) | 2.13397 | − | 1.23205i | 0.102671 | − | 0.0592771i | ||||
\(433\) | 5.06218 | − | 8.76795i | 0.243273 | − | 0.421361i | −0.718372 | − | 0.695659i | \(-0.755112\pi\) |
0.961645 | + | 0.274299i | \(0.0884457\pi\) | |||||||
\(434\) | 4.78461 | − | 4.14359i | 0.229669 | − | 0.198899i | ||||
\(435\) | −3.50000 | − | 13.0622i | −0.167812 | − | 0.626283i | ||||
\(436\) | −18.2942 | + | 4.90192i | −0.876135 | + | 0.234760i | ||||
\(437\) | 12.3923 | − | 12.3923i | 0.592804 | − | 0.592804i | ||||
\(438\) | −3.03590 | + | 5.25833i | −0.145061 | + | 0.251253i | ||||
\(439\) | −20.1244 | − | 34.8564i | −0.960483 | − | 1.66361i | −0.721290 | − | 0.692634i | \(-0.756450\pi\) |
−0.239193 | − | 0.970972i | \(-0.576883\pi\) | |||||||
\(440\) | −13.9282 | − | 3.73205i | −0.664001 | − | 0.177919i | ||||
\(441\) | −1.00000 | + | 6.92820i | −0.0476190 | + | 0.329914i | ||||
\(442\) | −9.18653 | + | 3.10770i | −0.436959 | + | 0.147818i | ||||
\(443\) | 10.3923 | 0.493753 | 0.246877 | − | 0.969047i | \(-0.420596\pi\) | ||||
0.246877 | + | 0.969047i | \(0.420596\pi\) | |||||||
\(444\) | −4.33013 | + | 16.1603i | −0.205499 | + | 0.766932i | ||||
\(445\) | −9.83013 | − | 17.0263i | −0.465993 | − | 0.807123i | ||||
\(446\) | −2.50962 | + | 4.34679i | −0.118834 | + | 0.205826i | ||||
\(447\) | 1.43782 | + | 1.43782i | 0.0680067 | + | 0.0680067i | ||||
\(448\) | −5.89230 | + | 1.13397i | −0.278385 | + | 0.0535753i | ||||
\(449\) | 5.83013 | − | 1.56218i | 0.275141 | − | 0.0737237i | −0.118610 | − | 0.992941i | \(-0.537844\pi\) |
0.393751 | + | 0.919217i | \(0.371177\pi\) | |||||||
\(450\) | −0.464102 | − | 0.464102i | −0.0218780 | − | 0.0218780i | ||||
\(451\) | −31.0526 | − | 17.9282i | −1.46221 | − | 0.844206i | ||||
\(452\) | 2.30385 | − | 1.33013i | 0.108364 | − | 0.0625639i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 5.01924 | 0.235565 | ||||||||
\(455\) | 16.0263 | − | 9.09808i | 0.751324 | − | 0.426524i | ||||
\(456\) | −5.46410 | −0.255880 | ||||||||
\(457\) | −27.5263 | − | 7.37564i | −1.28763 | − | 0.345018i | −0.450867 | − | 0.892591i | \(-0.648885\pi\) |
−0.836758 | + | 0.547573i | \(0.815552\pi\) | |||||||
\(458\) | −7.68653 | + | 4.43782i | −0.359168 | + | 0.207366i | ||||
\(459\) | −4.50000 | − | 2.59808i | −0.210042 | − | 0.121268i | ||||
\(460\) | 14.6603 | + | 14.6603i | 0.683538 | + | 0.683538i | ||||
\(461\) | −2.03590 | + | 0.545517i | −0.0948212 | + | 0.0254073i | −0.305918 | − | 0.952058i | \(-0.598963\pi\) |
0.211096 | + | 0.977465i | \(0.432297\pi\) | |||||||
\(462\) | 5.19615 | − | 1.00000i | 0.241747 | − | 0.0465242i | ||||
\(463\) | −8.19615 | − | 8.19615i | −0.380908 | − | 0.380908i | 0.490522 | − | 0.871429i | \(-0.336806\pi\) |
−0.871429 | + | 0.490522i | \(0.836806\pi\) | |||||||
\(464\) | −8.62436 | + | 14.9378i | −0.400376 | + | 0.693471i | ||||
\(465\) | −4.46410 | − | 7.73205i | −0.207018 | − | 0.358565i | ||||
\(466\) | −0.267949 | + | 1.00000i | −0.0124125 | + | 0.0463241i | ||||
\(467\) | 30.7846 | 1.42454 | 0.712271 | − | 0.701905i | \(-0.247667\pi\) | ||||
0.712271 | + | 0.701905i | \(0.247667\pi\) | |||||||
\(468\) | 6.23205 | − | 0.401924i | 0.288077 | − | 0.0185789i | ||||
\(469\) | −2.07180 | + | 28.8564i | −0.0956667 | + | 1.33247i | ||||
\(470\) | −3.46410 | − | 0.928203i | −0.159787 | − | 0.0428148i | ||||
\(471\) | 0.669873 | + | 1.16025i | 0.0308661 | + | 0.0534617i | ||||
\(472\) | 0.366025 | − | 0.633975i | 0.0168477 | − | 0.0291810i | ||||
\(473\) | 21.8564 | − | 21.8564i | 1.00496 | − | 1.00496i | ||||
\(474\) | 7.83013 | − | 2.09808i | 0.359650 | − | 0.0963678i | ||||
\(475\) | −0.928203 | − | 3.46410i | −0.0425889 | − | 0.158944i | ||||
\(476\) | 15.5885 | + | 18.0000i | 0.714496 | + | 0.825029i | ||||
\(477\) | 3.86603 | − | 6.69615i | 0.177013 | − | 0.306596i | ||||
\(478\) | −0.215390 | + | 0.124356i | −0.00985172 | + | 0.00568790i | ||||
\(479\) | −15.1962 | − | 4.07180i | −0.694330 | − | 0.186045i | −0.105640 | − | 0.994404i | \(-0.533689\pi\) |
−0.588689 | + | 0.808359i | \(0.700356\pi\) | |||||||
\(480\) | − | 9.92820i | − | 0.453158i | ||||||
\(481\) | −22.9904 | + | 26.1603i | −1.04827 | + | 1.19280i | ||||
\(482\) | 13.0526i | 0.594528i | ||||||||
\(483\) | −15.4904 | − | 5.36603i | −0.704837 | − | 0.244163i | ||||
\(484\) | 3.40192 | + | 5.89230i | 0.154633 | + | 0.267832i | ||||
\(485\) | −8.83013 | − | 5.09808i | −0.400955 | − | 0.231492i | ||||
\(486\) | −0.366025 | − | 0.366025i | −0.0166032 | − | 0.0166032i | ||||
\(487\) | 0.954483 | + | 3.56218i | 0.0432517 | + | 0.161418i | 0.984174 | − | 0.177205i | \(-0.0567056\pi\) |
−0.940922 | + | 0.338623i | \(0.890039\pi\) | |||||||
\(488\) | 3.23205 | + | 12.0622i | 0.146308 | + | 0.546029i | ||||
\(489\) | −1.19615 | + | 1.19615i | −0.0540919 | + | 0.0540919i | ||||
\(490\) | 5.50000 | + | 4.33013i | 0.248465 | + | 0.195615i | ||||
\(491\) | −10.9019 | + | 6.29423i | −0.491997 | + | 0.284055i | −0.725403 | − | 0.688325i | \(-0.758346\pi\) |
0.233406 | + | 0.972379i | \(0.425013\pi\) | |||||||
\(492\) | 4.16025 | − | 15.5263i | 0.187559 | − | 0.699979i | ||||
\(493\) | 36.3731 | 1.63816 | ||||||||
\(494\) | −4.73205 | − | 2.33975i | −0.212905 | − | 0.105270i | ||||
\(495\) | − | 7.46410i | − | 0.335486i | ||||||
\(496\) | −2.94744 | + | 11.0000i | −0.132344 | + | 0.493915i | ||||
\(497\) | 13.4641 | − | 6.53590i | 0.603947 | − | 0.293175i | ||||
\(498\) | −4.39230 | − | 2.53590i | −0.196824 | − | 0.113636i | ||||
\(499\) | −2.39230 | + | 2.39230i | −0.107094 | + | 0.107094i | −0.758624 | − | 0.651529i | \(-0.774128\pi\) |
0.651529 | + | 0.758624i | \(0.274128\pi\) | |||||||
\(500\) | 20.2583 | − | 5.42820i | 0.905980 | − | 0.242757i | ||||
\(501\) | −0.633975 | + | 0.169873i | −0.0283239 | + | 0.00758937i | ||||
\(502\) | −9.92820 | + | 9.92820i | −0.443117 | + | 0.443117i | ||||
\(503\) | 26.5359 | + | 15.3205i | 1.18318 | + | 0.683108i | 0.956747 | − | 0.290920i | \(-0.0939613\pi\) |
0.226430 | + | 0.974027i | \(0.427295\pi\) | |||||||
\(504\) | 2.23205 | + | 4.59808i | 0.0994234 | + | 0.204815i | ||||
\(505\) | −1.96410 | + | 7.33013i | −0.0874014 | + | 0.326186i | ||||
\(506\) | 12.3923i | 0.550905i | ||||||||
\(507\) | 12.0000 | + | 5.00000i | 0.532939 | + | 0.222058i | ||||
\(508\) | −19.5167 | −0.865912 | ||||||||
\(509\) | 8.79423 | − | 32.8205i | 0.389797 | − | 1.45474i | −0.440667 | − | 0.897671i | \(-0.645258\pi\) |
0.830464 | − | 0.557073i | \(-0.188075\pi\) | |||||||
\(510\) | −4.50000 | + | 2.59808i | −0.199263 | + | 0.115045i | ||||
\(511\) | 25.6962 | + | 17.4019i | 1.13673 | + | 0.769816i | ||||
\(512\) | −15.6865 | + | 15.6865i | −0.693253 | + | 0.693253i | ||||
\(513\) | −0.732051 | − | 2.73205i | −0.0323208 | − | 0.120623i | ||||
\(514\) | 1.25833 | + | 4.69615i | 0.0555026 | + | 0.207138i | ||||
\(515\) | −9.46410 | − | 9.46410i | −0.417038 | − | 0.417038i | ||||
\(516\) | 12.0000 | + | 6.92820i | 0.528271 | + | 0.304997i | ||||
\(517\) | 6.92820 | + | 12.0000i | 0.304702 | + | 0.527759i | ||||
\(518\) | −12.5000 | − | 4.33013i | −0.549218 | − | 0.190255i | ||||
\(519\) | 23.3205i | 1.02366i | ||||||||
\(520\) | 5.96410 | − | 12.0622i | 0.261543 | − | 0.528961i | ||||
\(521\) | 27.3923i | 1.20008i | 0.799970 | + | 0.600039i | \(0.204848\pi\) | ||||
−0.799970 | + | 0.600039i | \(0.795152\pi\) | |||||||
\(522\) | 3.50000 | + | 0.937822i | 0.153191 | + | 0.0410474i | ||||
\(523\) | −21.7583 | + | 12.5622i | −0.951425 | + | 0.549306i | −0.893523 | − | 0.449017i | \(-0.851774\pi\) |
−0.0579019 | + | 0.998322i | \(0.518441\pi\) | |||||||
\(524\) | −12.2942 | + | 21.2942i | −0.537076 | + | 0.930243i | ||||
\(525\) | −2.53590 | + | 2.19615i | −0.110676 | + | 0.0958479i | ||||
\(526\) | −3.12436 | − | 11.6603i | −0.136228 | − | 0.508411i | ||||
\(527\) | 23.1962 | − | 6.21539i | 1.01044 | − | 0.270747i | ||||
\(528\) | −6.73205 | + | 6.73205i | −0.292975 | + | 0.292975i | ||||
\(529\) | 7.69615 | − | 13.3301i | 0.334615 | − | 0.579571i | ||||
\(530\) | −3.86603 | − | 6.69615i | −0.167929 | − | 0.290862i | ||||
\(531\) | 0.366025 | + | 0.0980762i | 0.0158841 | + | 0.00425615i | ||||
\(532\) | −0.928203 | + | 12.9282i | −0.0402427 | + | 0.560509i | ||||
\(533\) | 22.0885 | − | 25.1340i | 0.956757 | − | 1.08867i | ||||
\(534\) | 5.26795 | 0.227966 | ||||||||
\(535\) | 3.73205 | − | 13.9282i | 0.161351 | − | 0.602169i | ||||
\(536\) | 10.5622 | + | 18.2942i | 0.456217 | + | 0.790190i | ||||
\(537\) | 5.56218 | − | 9.63397i | 0.240026 | − | 0.415737i | ||||
\(538\) | 0.392305 | + | 0.392305i | 0.0169135 | + | 0.0169135i | ||||
\(539\) | −3.19615 | − | 26.8564i | −0.137668 | − | 1.15679i | ||||
\(540\) | 3.23205 | − | 0.866025i | 0.139085 | − | 0.0372678i | ||||
\(541\) | −4.56218 | − | 4.56218i | −0.196143 | − | 0.196143i | 0.602201 | − | 0.798344i | \(-0.294291\pi\) |
−0.798344 | + | 0.602201i | \(0.794291\pi\) | |||||||
\(542\) | 1.90192 | + | 1.09808i | 0.0816946 | + | 0.0471664i | ||||
\(543\) | −6.86603 | + | 3.96410i | −0.294649 | + | 0.170116i | ||||
\(544\) | 25.7942 | + | 6.91154i | 1.10592 | + | 0.296330i | ||||
\(545\) | −21.1244 | −0.904868 | ||||||||
\(546\) | −0.0358984 | + | 4.93782i | −0.00153631 | + | 0.211319i | ||||
\(547\) | 9.26795 | 0.396269 | 0.198134 | − | 0.980175i | \(-0.436512\pi\) | ||||
0.198134 | + | 0.980175i | \(0.436512\pi\) | |||||||
\(548\) | 19.1603 | + | 5.13397i | 0.818485 | + | 0.219313i | ||||
\(549\) | −5.59808 | + | 3.23205i | −0.238920 | + | 0.137941i | ||||
\(550\) | 2.19615 | + | 1.26795i | 0.0936443 | + | 0.0540655i | ||||
\(551\) | 14.0000 | + | 14.0000i | 0.596420 | + | 0.596420i | ||||
\(552\) | −11.5622 | + | 3.09808i | −0.492119 | + | 0.131863i | ||||
\(553\) | −7.83013 | − | 40.6865i | −0.332971 | − | 1.73017i | ||||
\(554\) | 6.43782 | + | 6.43782i | 0.273517 | + | 0.273517i | ||||
\(555\) | −9.33013 | + | 16.1603i | −0.396042 | + | 0.685965i | ||||
\(556\) | −7.09808 | − | 12.2942i | −0.301025 | − | 0.521391i | ||||
\(557\) | −9.42820 | + | 35.1865i | −0.399486 | + | 1.49090i | 0.414518 | + | 0.910041i | \(0.363950\pi\) |
−0.814003 | + | 0.580860i | \(0.802716\pi\) | |||||||
\(558\) | 2.39230 | 0.101274 | ||||||||
\(559\) | 16.0000 | + | 24.0000i | 0.676728 | + | 1.01509i | ||||
\(560\) | −12.5622 | − | 0.901924i | −0.530849 | − | 0.0381132i | ||||
\(561\) | 19.3923 | + | 5.19615i | 0.818744 | + | 0.219382i | ||||
\(562\) | 4.03590 | + | 6.99038i | 0.170244 | + | 0.294871i | ||||
\(563\) | −21.9545 | + | 38.0263i | −0.925271 | + | 1.60262i | −0.134147 | + | 0.990961i | \(0.542829\pi\) |
−0.791125 | + | 0.611655i | \(0.790504\pi\) | |||||||
\(564\) | −4.39230 | + | 4.39230i | −0.184949 | + | 0.184949i | ||||
\(565\) | 2.86603 | − | 0.767949i | 0.120575 | − | 0.0323079i | ||||
\(566\) | 1.67949 | + | 6.26795i | 0.0705943 | + | 0.263462i | ||||
\(567\) | −2.00000 | + | 1.73205i | −0.0839921 | + | 0.0727393i | ||||
\(568\) | 5.46410 | − | 9.46410i | 0.229269 | − | 0.397105i | ||||
\(569\) | −18.0000 | + | 10.3923i | −0.754599 | + | 0.435668i | −0.827353 | − | 0.561682i | \(-0.810155\pi\) |
0.0727541 | + | 0.997350i | \(0.476821\pi\) | |||||||
\(570\) | −2.73205 | − | 0.732051i | −0.114433 | − | 0.0306622i | ||||
\(571\) | − | 5.41154i | − | 0.226466i | −0.993568 | − | 0.113233i | \(-0.963879\pi\) | ||
0.993568 | − | 0.113233i | \(-0.0361207\pi\) | |||||||
\(572\) | −22.8564 | + | 7.73205i | −0.955674 | + | 0.323293i | ||||
\(573\) | − | 12.5359i | − | 0.523695i | ||||||
\(574\) | 12.0096 | + | 4.16025i | 0.501272 | + | 0.173646i | ||||
\(575\) | −3.92820 | − | 6.80385i | −0.163817 | − | 0.283740i | ||||
\(576\) | −1.96410 | − | 1.13397i | −0.0818376 | − | 0.0472489i | ||||
\(577\) | 0.169873 | + | 0.169873i | 0.00707190 | + | 0.00707190i | 0.710634 | − | 0.703562i | \(-0.248408\pi\) |
−0.703562 | + | 0.710634i | \(0.748408\pi\) | |||||||
\(578\) | −1.33975 | − | 5.00000i | −0.0557261 | − | 0.207973i | ||||
\(579\) | 2.25833 | + | 8.42820i | 0.0938530 | + | 0.350264i | ||||
\(580\) | −16.5622 | + | 16.5622i | −0.687707 | + | 0.687707i | ||||
\(581\) | −14.5359 | + | 21.4641i | −0.603051 | + | 0.890481i | ||||
\(582\) | 2.36603 | − | 1.36603i | 0.0980749 | − | 0.0566236i | ||||
\(583\) | −7.73205 | + | 28.8564i | −0.320229 | + | 1.19511i | ||||
\(584\) | 22.6603 | 0.937688 | ||||||||
\(585\) | 6.83013 | + | 1.36603i | 0.282391 | + | 0.0564782i | ||||
\(586\) | − | 0.516660i | − | 0.0213430i | ||||||
\(587\) | −8.07180 | + | 30.1244i | −0.333159 | + | 1.24337i | 0.572693 | + | 0.819770i | \(0.305899\pi\) |
−0.905852 | + | 0.423595i | \(0.860768\pi\) | |||||||
\(588\) | 11.2583 | − | 4.50000i | 0.464286 | − | 0.185577i | ||||
\(589\) | 11.3205 | + | 6.53590i | 0.466453 | + | 0.269307i | ||||
\(590\) | 0.267949 | − | 0.267949i | 0.0110313 | − | 0.0110313i | ||||
\(591\) | −9.83013 | + | 2.63397i | −0.404357 | + | 0.108347i | ||||
\(592\) | 22.9904 | − | 6.16025i | 0.944899 | − | 0.253185i | ||||
\(593\) | 17.0981 | − | 17.0981i | 0.702134 | − | 0.702134i | −0.262734 | − | 0.964868i | \(-0.584624\pi\) |
0.964868 | + | 0.262734i | \(0.0846243\pi\) | |||||||
\(594\) | 1.73205 | + | 1.00000i | 0.0710669 | + | 0.0410305i | ||||
\(595\) | 11.5981 | + | 23.8923i | 0.475475 | + | 0.979489i | ||||
\(596\) | 0.911543 | − | 3.40192i | 0.0373382 | − | 0.139348i | ||||
\(597\) | − | 18.5359i | − | 0.758624i | ||||||
\(598\) | −11.3397 | − | 2.26795i | −0.463717 | − | 0.0927433i | ||||
\(599\) | −25.8038 | −1.05432 | −0.527158 | − | 0.849767i | \(-0.676743\pi\) | ||||
−0.527158 | + | 0.849767i | \(0.676743\pi\) | |||||||
\(600\) | −0.633975 | + | 2.36603i | −0.0258819 | + | 0.0965926i | ||||
\(601\) | 21.8205 | − | 12.5981i | 0.890077 | − | 0.513886i | 0.0161094 | − | 0.999870i | \(-0.494872\pi\) |
0.873968 | + | 0.485984i | \(0.161539\pi\) | |||||||
\(602\) | −6.14359 | + | 9.07180i | −0.250394 | + | 0.369739i | ||||
\(603\) | −7.73205 | + | 7.73205i | −0.314873 | + | 0.314873i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 1.96410 | + | 7.33013i | 0.0798521 | + | 0.298012i | ||||
\(606\) | −1.43782 | − | 1.43782i | −0.0584075 | − | 0.0584075i | ||||
\(607\) | 35.9545 | + | 20.7583i | 1.45935 | + | 0.842555i | 0.998979 | − | 0.0451734i | \(-0.0143840\pi\) |
0.460368 | + | 0.887728i | \(0.347717\pi\) | |||||||
\(608\) | 7.26795 | + | 12.5885i | 0.294754 | + | 0.510529i | ||||
\(609\) | 6.06218 | − | 17.5000i | 0.245652 | − | 0.709136i | ||||
\(610\) | 6.46410i | 0.261724i | ||||||||
\(611\) | −12.2487 | + | 4.14359i | −0.495530 | + | 0.167632i | ||||
\(612\) | 9.00000i | 0.363803i | ||||||||
\(613\) | 6.23205 | + | 1.66987i | 0.251710 | + | 0.0674455i | 0.382468 | − | 0.923969i | \(-0.375074\pi\) |
−0.130758 | + | 0.991414i | \(0.541741\pi\) | |||||||
\(614\) | 2.49038 | − | 1.43782i | 0.100504 | − | 0.0580258i | ||||
\(615\) | 8.96410 | − | 15.5263i | 0.361467 | − | 0.626080i | ||||
\(616\) | −12.9282 | − | 14.9282i | −0.520892 | − | 0.601474i | ||||
\(617\) | −8.65064 | − | 32.2846i | −0.348261 | − | 1.29973i | −0.888755 | − | 0.458382i | \(-0.848429\pi\) |
0.540494 | − | 0.841348i | \(-0.318237\pi\) | |||||||
\(618\) | 3.46410 | − | 0.928203i | 0.139347 | − | 0.0373378i | ||||
\(619\) | 14.8564 | − | 14.8564i | 0.597129 | − | 0.597129i | −0.342418 | − | 0.939548i | \(-0.611246\pi\) |
0.939548 | + | 0.342418i | \(0.111246\pi\) | |||||||
\(620\) | −7.73205 | + | 13.3923i | −0.310527 | + | 0.537848i | ||||
\(621\) | −3.09808 | − | 5.36603i | −0.124322 | − | 0.215331i | ||||
\(622\) | 6.83013 | + | 1.83013i | 0.273863 | + | 0.0733814i | ||||
\(623\) | 1.92820 | − | 26.8564i | 0.0772518 | − | 1.07598i | ||||
\(624\) | −4.92820 | − | 7.39230i | −0.197286 | − | 0.295929i | ||||
\(625\) | 17.0526 | 0.682102 | ||||||||
\(626\) | 1.28719 | − | 4.80385i | 0.0514463 | − | 0.192000i | ||||
\(627\) | 5.46410 | + | 9.46410i | 0.218215 | + | 0.377960i | ||||
\(628\) | 1.16025 | − | 2.00962i | 0.0462992 | − | 0.0801925i | ||||
\(629\) | −35.4904 | − | 35.4904i | −1.41509 | − | 1.41509i | ||||
\(630\) | 0.500000 | + | 2.59808i | 0.0199205 | + | 0.103510i | ||||
\(631\) | 20.1962 | − | 5.41154i | 0.803996 | − | 0.215430i | 0.166658 | − | 0.986015i | \(-0.446702\pi\) |
0.637338 | + | 0.770585i | \(0.280036\pi\) | |||||||
\(632\) | −21.3923 | − | 21.3923i | −0.850940 | − | 0.850940i | ||||
\(633\) | 7.26795 | + | 4.19615i | 0.288875 | + | 0.166782i | ||||
\(634\) | −14.4282 | + | 8.33013i | −0.573017 | + | 0.330832i | ||||
\(635\) | −21.0263 | − | 5.63397i | −0.834402 | − | 0.223577i | ||||
\(636\) | −13.3923 | −0.531039 | ||||||||
\(637\) | 25.1603 | + | 1.99038i | 0.996886 | + | 0.0788618i | ||||
\(638\) | −14.0000 | −0.554265 | ||||||||
\(639\) | 5.46410 | + | 1.46410i | 0.216157 | + | 0.0579190i | ||||
\(640\) | −19.1603 | + | 11.0622i | −0.757376 | + | 0.437271i | ||||
\(641\) | −19.7487 | − | 11.4019i | −0.780027 | − | 0.450349i | 0.0564127 | − | 0.998408i | \(-0.482034\pi\) |
−0.836440 | + | 0.548059i | \(0.815367\pi\) | |||||||
\(642\) | 2.73205 | + | 2.73205i | 0.107825 | + | 0.107825i | ||||
\(643\) | −21.9282 | + | 5.87564i | −0.864764 | + | 0.231713i | −0.663822 | − | 0.747890i | \(-0.731067\pi\) |
−0.200942 | + | 0.979603i | \(0.564400\pi\) | |||||||
\(644\) | 5.36603 | + | 27.8827i | 0.211451 | + | 1.09873i | ||||
\(645\) | 10.9282 | + | 10.9282i | 0.430298 | + | 0.430298i | ||||
\(646\) | 3.80385 | − | 6.58846i | 0.149660 | − | 0.259219i | ||||
\(647\) | −8.22243 | − | 14.2417i | −0.323257 | − | 0.559898i | 0.657901 | − | 0.753104i | \(-0.271445\pi\) |
−0.981158 | + | 0.193207i | \(0.938111\pi\) | |||||||
\(648\) | −0.500000 | + | 1.86603i | −0.0196419 | + | 0.0733044i | ||||
\(649\) | −1.46410 | −0.0574710 | ||||||||
\(650\) | −1.56218 | + | 1.77757i | −0.0612737 | + | 0.0697220i | ||||
\(651\) | 0.875644 | − | 12.1962i | 0.0343192 | − | 0.478005i | ||||
\(652\) | 2.83013 | + | 0.758330i | 0.110836 | + | 0.0296985i | ||||
\(653\) | −16.7321 | − | 28.9808i | −0.654776 | − | 1.13410i | −0.981950 | − | 0.189141i | \(-0.939430\pi\) |
0.327174 | − | 0.944964i | \(-0.393904\pi\) | |||||||
\(654\) | 2.83013 | − | 4.90192i | 0.110667 | − | 0.191680i | ||||
\(655\) | −19.3923 | + | 19.3923i | −0.757720 | + | 0.757720i | ||||
\(656\) | −22.0885 | + | 5.91858i | −0.862409 | + | 0.231082i | ||||
\(657\) | 3.03590 | + | 11.3301i | 0.118442 | + | 0.442030i | ||||
\(658\) | −3.21539 | − | 3.71281i | −0.125349 | − | 0.144741i | ||||
\(659\) | 16.3923 | − | 28.3923i | 0.638554 | − | 1.10601i | −0.347197 | − | 0.937792i | \(-0.612866\pi\) |
0.985750 | − | 0.168215i | \(-0.0538002\pi\) | |||||||
\(660\) | −11.1962 | + | 6.46410i | −0.435810 | + | 0.251615i | ||||
\(661\) | −8.79423 | − | 2.35641i | −0.342056 | − | 0.0916536i | 0.0837017 | − | 0.996491i | \(-0.473326\pi\) |
−0.425758 | + | 0.904837i | \(0.639992\pi\) | |||||||
\(662\) | − | 3.51666i | − | 0.136679i | ||||||
\(663\) | −8.30385 | + | 16.7942i | −0.322495 | + | 0.652234i | ||||
\(664\) | 18.9282i | 0.734557i | ||||||||
\(665\) | −4.73205 | + | 13.6603i | −0.183501 | + | 0.529722i | ||||
\(666\) | −2.50000 | − | 4.33013i | −0.0968730 | − | 0.167789i | ||||
\(667\) | 37.5622 | + | 21.6865i | 1.45441 | + | 0.839706i | ||||
\(668\) | 0.803848 | + | 0.803848i | 0.0311018 | + | 0.0311018i | ||||
\(669\) | 2.50962 | + | 9.36603i | 0.0970275 | + | 0.362111i | ||||
\(670\) | 2.83013 | + | 10.5622i | 0.109337 | + | 0.408053i | ||||
\(671\) | 17.6603 | − | 17.6603i | 0.681767 | − | 0.681767i | ||||
\(672\) | 7.62436 | − | 11.2583i | 0.294116 | − | 0.434300i | ||||
\(673\) | −32.0429 | + | 18.5000i | −1.23516 | + | 0.713123i | −0.968102 | − | 0.250557i | \(-0.919386\pi\) |
−0.267063 | + | 0.963679i | \(0.586053\pi\) | |||||||
\(674\) | 3.27757 | − | 12.2321i | 0.126247 | − | 0.471161i | ||||
\(675\) | −1.26795 | −0.0488034 | ||||||||
\(676\) | −2.89230 | − | 22.3301i | −0.111242 | − | 0.858851i | ||||
\(677\) | − | 22.3923i | − | 0.860606i | −0.902684 | − | 0.430303i | \(-0.858407\pi\) | ||
0.902684 | − | 0.430303i | \(-0.141593\pi\) | |||||||
\(678\) | −0.205771 | + | 0.767949i | −0.00790260 | + | 0.0294929i | ||||
\(679\) | −6.09808 | − | 12.5622i | −0.234023 | − | 0.482092i | ||||
\(680\) | 16.7942 | + | 9.69615i | 0.644029 | + | 0.371830i | ||||
\(681\) | 6.85641 | − | 6.85641i | 0.262738 | − | 0.262738i | ||||
\(682\) | −8.92820 | + | 2.39230i | −0.341879 | + | 0.0916061i | ||||
\(683\) | 17.7583 | − | 4.75833i | 0.679504 | − | 0.182072i | 0.0974716 | − | 0.995238i | \(-0.468924\pi\) |
0.582032 | + | 0.813166i | \(0.302258\pi\) | |||||||
\(684\) | −3.46410 | + | 3.46410i | −0.132453 | + | 0.132453i | ||||
\(685\) | 19.1603 | + | 11.0622i | 0.732076 | + | 0.422664i | ||||
\(686\) | 2.91154 | + | 9.13397i | 0.111163 | + | 0.348737i | ||||
\(687\) | −4.43782 | + | 16.5622i | −0.169313 | + | 0.631886i | ||||
\(688\) | − | 19.7128i | − | 0.751544i | ||||||
\(689\) | −24.9904 | − | 12.3564i | −0.952058 | − | 0.470742i | ||||
\(690\) | −6.19615 | −0.235883 | ||||||||
\(691\) | −2.49038 | + | 9.29423i | −0.0947386 | + | 0.353569i | −0.996980 | − | 0.0776628i | \(-0.975254\pi\) |
0.902241 | + | 0.431232i | \(0.141921\pi\) | |||||||
\(692\) | 34.9808 | − | 20.1962i | 1.32977 | − | 0.767743i | ||||
\(693\) | 5.73205 | − | 8.46410i | 0.217743 | − | 0.321525i | ||||
\(694\) | −2.07180 | + | 2.07180i | −0.0786443 | + | 0.0786443i | ||||
\(695\) | −4.09808 | − | 15.2942i | −0.155449 | − | 0.580143i | ||||
\(696\) | −3.50000 | − | 13.0622i | −0.132667 | − | 0.495121i | ||||
\(697\) | 34.0981 | + | 34.0981i | 1.29156 | + | 1.29156i | ||||
\(698\) | 2.11731 | + | 1.22243i | 0.0801415 | + | 0.0462697i | ||||
\(699\) | 1.00000 | + | 1.73205i | 0.0378235 | + | 0.0655122i | ||||
\(700\) | 5.49038 | + | 1.90192i | 0.207517 | + | 0.0718860i | ||||
\(701\) | 34.9282i | 1.31922i | 0.751608 | + | 0.659610i | \(0.229279\pi\) | ||||
−0.751608 | + | 0.659610i | \(0.770721\pi\) | |||||||
\(702\) | −1.23205 | + | 1.40192i | −0.0465008 | + | 0.0529122i | ||||
\(703\) | − | 27.3205i | − | 1.03041i | ||||||
\(704\) | 8.46410 | + | 2.26795i | 0.319003 | + | 0.0854766i | ||||
\(705\) | −6.00000 | + | 3.46410i | −0.225973 | + | 0.130466i | ||||
\(706\) | 2.69615 | − | 4.66987i | 0.101471 | − | 0.175753i | ||||
\(707\) | −7.85641 | + | 6.80385i | −0.295471 | + | 0.255885i | ||||
\(708\) | −0.169873 | − | 0.633975i | −0.00638422 | − | 0.0238262i | ||||
\(709\) | 5.69615 | − | 1.52628i | 0.213923 | − | 0.0573206i | −0.150266 | − | 0.988646i | \(-0.548013\pi\) |
0.364189 | + | 0.931325i | \(0.381346\pi\) | |||||||
\(710\) | 4.00000 | − | 4.00000i | 0.150117 | − | 0.150117i | ||||
\(711\) | 7.83013 | − | 13.5622i | 0.293653 | − | 0.508621i | ||||
\(712\) | −9.83013 | − | 17.0263i | −0.368400 | − | 0.638087i | ||||
\(713\) | 27.6603 | + | 7.41154i | 1.03588 | + | 0.277564i | ||||
\(714\) | −7.09808 | − | 0.509619i | −0.265639 | − | 0.0190720i | ||||
\(715\) | −26.8564 | + | 1.73205i | −1.00437 | + | 0.0647750i | ||||
\(716\) | −19.2679 | −0.720077 | ||||||||
\(717\) | −0.124356 | + | 0.464102i | −0.00464415 | + | 0.0173322i | ||||
\(718\) | −3.22243 | − | 5.58142i | −0.120260 | − | 0.208297i | ||||
\(719\) | 6.29423 | − | 10.9019i | 0.234735 | − | 0.406573i | −0.724461 | − | 0.689316i | \(-0.757911\pi\) |
0.959196 | + | 0.282743i | \(0.0912444\pi\) | |||||||
\(720\) | −3.36603 | − | 3.36603i | −0.125444 | − | 0.125444i | ||||
\(721\) | −3.46410 | − | 18.0000i | −0.129010 | − | 0.670355i | ||||
\(722\) | −5.50000 | + | 1.47372i | −0.204689 | + | 0.0548462i | ||||
\(723\) | 17.8301 | + | 17.8301i | 0.663110 | + | 0.663110i | ||||
\(724\) | 11.8923 | + | 6.86603i | 0.441974 | + | 0.255174i | ||||
\(725\) | 7.68653 | − | 4.43782i | 0.285471 | − | 0.164817i | ||||
\(726\) | −1.96410 | − | 0.526279i | −0.0728946 | − | 0.0195321i | ||||
\(727\) | −41.1244 | −1.52522 | −0.762609 | − | 0.646860i | \(-0.776082\pi\) | ||||
−0.762609 | + | 0.646860i | \(0.776082\pi\) | |||||||
\(728\) | 16.0263 | − | 9.09808i | 0.593973 | − | 0.337197i | ||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | 11.3301 | + | 3.03590i | 0.419347 | + | 0.112364i | ||||
\(731\) | −36.0000 | + | 20.7846i | −1.33151 | + | 0.768747i | ||||
\(732\) | 9.69615 | + | 5.59808i | 0.358380 | + | 0.206911i | ||||
\(733\) | 21.6340 | + | 21.6340i | 0.799069 | + | 0.799069i | 0.982949 | − | 0.183880i | \(-0.0588657\pi\) |
−0.183880 | + | 0.982949i | \(0.558866\pi\) | |||||||
\(734\) | 5.90192 | − | 1.58142i | 0.217844 | − | 0.0583711i | ||||
\(735\) | 13.4282 | − | 1.59808i | 0.495307 | − | 0.0589459i | ||||
\(736\) | 22.5167 | + | 22.5167i | 0.829975 | + | 0.829975i | ||||
\(737\) | 21.1244 | − | 36.5885i | 0.778126 | − | 1.34775i | ||||
\(738\) | 2.40192 | + | 4.16025i | 0.0884160 | + | 0.153141i | ||||
\(739\) | 3.92820 | − | 14.6603i | 0.144501 | − | 0.539286i | −0.855276 | − | 0.518173i | \(-0.826612\pi\) |
0.999777 | − | 0.0211131i | \(-0.00672101\pi\) | |||||||
\(740\) | 32.3205 | 1.18813 | ||||||||
\(741\) | −9.66025 | + | 3.26795i | −0.354878 | + | 0.120051i | ||||
\(742\) | 0.758330 | − | 10.5622i | 0.0278392 | − | 0.387750i | ||||
\(743\) | −33.0526 | − | 8.85641i | −1.21258 | − | 0.324910i | −0.404807 | − | 0.914402i | \(-0.632661\pi\) |
−0.807774 | + | 0.589492i | \(0.799328\pi\) | |||||||
\(744\) | −4.46410 | − | 7.73205i | −0.163662 | − | 0.283471i | ||||
\(745\) | 1.96410 | − | 3.40192i | 0.0719591 | − | 0.124637i | ||||
\(746\) | −8.88269 | + | 8.88269i | −0.325218 | + | 0.325218i | ||||
\(747\) | −9.46410 | + | 2.53590i | −0.346273 | + | 0.0927837i | ||||
\(748\) | −9.00000 | − | 33.5885i | −0.329073 | − | 1.22812i | ||||
\(749\) | 14.9282 | − | 12.9282i | 0.545465 | − | 0.472386i | ||||
\(750\) | −3.13397 | + | 5.42820i | −0.114437 | + | 0.198210i | ||||
\(751\) | −6.12436 | + | 3.53590i | −0.223481 | + | 0.129027i | −0.607561 | − | 0.794273i | \(-0.707852\pi\) |
0.384080 | + | 0.923300i | \(0.374519\pi\) | |||||||
\(752\) | 8.53590 | + | 2.28719i | 0.311272 | + | 0.0834051i | ||||
\(753\) | 27.1244i | 0.988466i | ||||||||
\(754\) | 2.56218 | − | 12.8109i | 0.0933090 | − | 0.466545i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 4.33013 | + | 1.50000i | 0.157485 | + | 0.0545545i | ||||
\(757\) | −8.00000 | − | 13.8564i | −0.290765 | − | 0.503620i | 0.683226 | − | 0.730207i | \(-0.260576\pi\) |
−0.973991 | + | 0.226587i | \(0.927243\pi\) | |||||||
\(758\) | 12.5885 | + | 7.26795i | 0.457233 | + | 0.263984i | ||||
\(759\) | 16.9282 | + | 16.9282i | 0.614455 | + | 0.614455i | ||||
\(760\) | 2.73205 | + | 10.1962i | 0.0991019 | + | 0.369853i | ||||
\(761\) | 6.95448 | + | 25.9545i | 0.252100 | + | 0.940849i | 0.969681 | + | 0.244374i | \(0.0785826\pi\) |
−0.717581 | + | 0.696475i | \(0.754751\pi\) | |||||||
\(762\) | 4.12436 | − | 4.12436i | 0.149410 | − | 0.149410i | ||||
\(763\) | −23.9545 | − | 16.2224i | −0.867210 | − | 0.587291i | ||||
\(764\) | −18.8038 | + | 10.8564i | −0.680299 | + | 0.392771i | ||||
\(765\) | −2.59808 | + | 9.69615i | −0.0939336 | + | 0.350565i | ||||
\(766\) | 8.98076 | 0.324488 | ||||||||
\(767\) | 0.267949 | − | 1.33975i | 0.00967508 | − | 0.0483754i | ||||
\(768\) | − | 1.39230i | − | 0.0502405i | ||||||
\(769\) | 7.43782 | − | 27.7583i | 0.268215 | − | 1.00099i | −0.692038 | − | 0.721861i | \(-0.743287\pi\) |
0.960253 | − | 0.279130i | \(-0.0900462\pi\) | |||||||
\(770\) | −4.46410 | − | 9.19615i | −0.160875 | − | 0.331406i | ||||
\(771\) | 8.13397 | + | 4.69615i | 0.292938 | + | 0.169128i | ||||
\(772\) | 10.6865 | − | 10.6865i | 0.384617 | − | 0.384617i | ||||
\(773\) | 5.63397 | − | 1.50962i | 0.202640 | − | 0.0542972i | −0.156071 | − | 0.987746i | \(-0.549883\pi\) |
0.358711 | + | 0.933449i | \(0.383216\pi\) | |||||||
\(774\) | −4.00000 | + | 1.07180i | −0.143777 | + | 0.0385249i | ||||
\(775\) | 4.14359 | − | 4.14359i | 0.148842 | − | 0.148842i | ||||
\(776\) | −8.83013 | − | 5.09808i | −0.316983 | − | 0.183010i | ||||
\(777\) | −22.9904 | + | 11.1603i | −0.824775 | + | 0.400372i | ||||
\(778\) | −3.51924 | + | 13.1340i | −0.126171 | + | 0.470876i | ||||
\(779\) | 26.2487i | 0.940458i | ||||||||
\(780\) | −3.86603 | − | 11.4282i | −0.138426 | − | 0.409195i | ||||
\(781\) | −21.8564 | −0.782084 | ||||||||
\(782\) | 4.31347 | − | 16.0981i | 0.154249 | − | 0.575666i | ||||
\(783\) | 6.06218 | − | 3.50000i | 0.216645 | − | 0.125080i | ||||
\(784\) | −13.5526 | − | 10.6699i | −0.484020 | − | 0.381067i | ||||
\(785\) | 1.83013 | − | 1.83013i | 0.0653200 | − | 0.0653200i | ||||
\(786\) | −1.90192 | − | 7.09808i | −0.0678394 | − | 0.253180i | ||||
\(787\) | 3.46410 | + | 12.9282i | 0.123482 | + | 0.460841i | 0.999781 | − | 0.0209267i | \(-0.00666167\pi\) |
−0.876299 | + | 0.481767i | \(0.839995\pi\) | |||||||
\(788\) | 12.4641 | + | 12.4641i | 0.444015 | + | 0.444015i | ||||
\(789\) | −20.1962 | − | 11.6603i | −0.719002 | − | 0.415116i | ||||
\(790\) | −7.83013 | − | 13.5622i | −0.278583 | − | 0.482521i | ||||
\(791\) | 3.83975 | + | 1.33013i | 0.136526 | + | 0.0472939i | ||||
\(792\) | − | 7.46410i | − | 0.265225i | ||||||
\(793\) | 12.9282 | + | 19.3923i | 0.459094 | + | 0.688641i | ||||
\(794\) | − | 10.4449i | − | 0.370674i | ||||||
\(795\) | −14.4282 | − | 3.86603i | −0.511716 | − | 0.137114i | ||||
\(796\) | −27.8038 | + | 16.0526i | −0.985481 | + | 0.568968i | ||||
\(797\) | −1.33975 | + | 2.32051i | −0.0474562 | + | 0.0821966i | −0.888778 | − | 0.458338i | \(-0.848445\pi\) |
0.841322 | + | 0.540535i | \(0.181778\pi\) | |||||||
\(798\) | −2.53590 | − | 2.92820i | −0.0897698 | − | 0.103657i | ||||
\(799\) | −4.82309 | − | 18.0000i | −0.170628 | − | 0.636794i | ||||
\(800\) | 6.29423 | − | 1.68653i | 0.222535 | − | 0.0596280i | ||||
\(801\) | 7.19615 | − | 7.19615i | 0.254264 | − | 0.254264i | ||||
\(802\) | −2.33013 | + | 4.03590i | −0.0822796 | + | 0.142513i | ||||
\(803\) | −22.6603 | − | 39.2487i | −0.799663 | − | 1.38506i | ||||
\(804\) | 18.2942 | + | 4.90192i | 0.645188 | + | 0.172878i | ||||
\(805\) | −2.26795 | + | 31.5885i | −0.0799347 | + | 1.11335i | ||||
\(806\) | −0.555136 | − | 8.60770i | −0.0195538 | − | 0.303193i | ||||
\(807\) | 1.07180 | 0.0377290 | ||||||||
\(808\) | −1.96410 | + | 7.33013i | −0.0690969 | + | 0.257873i | ||||
\(809\) | 0.232051 | + | 0.401924i | 0.00815847 | + | 0.0141309i | 0.870076 | − | 0.492918i | \(-0.164070\pi\) |
−0.861917 | + | 0.507049i | \(0.830736\pi\) | |||||||
\(810\) | −0.500000 | + | 0.866025i | −0.0175682 | + | 0.0304290i | ||||
\(811\) | −12.9282 | − | 12.9282i | −0.453971 | − | 0.453971i | 0.442699 | − | 0.896670i | \(-0.354021\pi\) |
−0.896670 | + | 0.442699i | \(0.854021\pi\) | |||||||
\(812\) | −31.5000 | + | 6.06218i | −1.10543 | + | 0.212741i | ||||
\(813\) | 4.09808 | − | 1.09808i | 0.143726 | − | 0.0385112i | ||||
\(814\) | 13.6603 | + | 13.6603i | 0.478792 | + | 0.478792i | ||||
\(815\) | 2.83013 | + | 1.63397i | 0.0991350 | + | 0.0572356i | ||||
\(816\) | 11.0885 | − | 6.40192i | 0.388174 | − | 0.224112i | ||||
\(817\) | −21.8564 | − | 5.85641i | −0.764659 | − | 0.204890i | ||||
\(818\) | −0.124356 | −0.00434799 | ||||||||
\(819\) | 6.69615 | + | 6.79423i | 0.233983 | + | 0.237410i | ||||
\(820\) | −31.0526 | −1.08440 | ||||||||
\(821\) | −6.56218 | − | 1.75833i | −0.229022 | − | 0.0613661i | 0.142483 | − | 0.989797i | \(-0.454491\pi\) |
−0.371505 | + | 0.928431i | \(0.621158\pi\) | |||||||
\(822\) | −5.13397 | + | 2.96410i | −0.179068 | + | 0.103385i | ||||
\(823\) | −0.215390 | − | 0.124356i | −0.00750803 | − | 0.00433477i | 0.496241 | − | 0.868185i | \(-0.334713\pi\) |
−0.503749 | + | 0.863850i | \(0.668046\pi\) | |||||||
\(824\) | −9.46410 | − | 9.46410i | −0.329698 | − | 0.329698i | ||||
\(825\) | 4.73205 | − | 1.26795i | 0.164749 | − | 0.0441443i | ||||
\(826\) | 0.509619 | − | 0.0980762i | 0.0177319 | − | 0.00341251i | ||||
\(827\) | −37.9282 | − | 37.9282i | −1.31889 | − | 1.31889i | −0.914653 | − | 0.404240i | \(-0.867536\pi\) |
−0.404240 | − | 0.914653i | \(-0.632464\pi\) | |||||||
\(828\) | −5.36603 | + | 9.29423i | −0.186482 | + | 0.322997i | ||||
\(829\) | −6.99038 | − | 12.1077i | −0.242786 | − | 0.420518i | 0.718721 | − | 0.695299i | \(-0.244728\pi\) |
−0.961507 | + | 0.274781i | \(0.911395\pi\) | |||||||
\(830\) | −2.53590 | + | 9.46410i | −0.0880223 | + | 0.328504i | ||||
\(831\) | 17.5885 | 0.610137 | ||||||||
\(832\) | −3.62436 | + | 7.33013i | −0.125652 | + | 0.254126i | ||||
\(833\) | −5.19615 | + | 36.0000i | −0.180036 | + | 1.24733i | ||||
\(834\) | 4.09808 | + | 1.09808i | 0.141905 | + | 0.0380233i | ||||
\(835\) | 0.633975 | + | 1.09808i | 0.0219396 | + | 0.0380005i | ||||
\(836\) | 9.46410 | − | 16.3923i | 0.327323 | − | 0.566940i | ||||
\(837\) | 3.26795 | − | 3.26795i | 0.112957 | − | 0.112957i | ||||
\(838\) | −5.39230 | + | 1.44486i | −0.186274 | + | 0.0499120i | ||||
\(839\) | −6.43782 | − | 24.0263i | −0.222258 | − | 0.829479i | −0.983484 | − | 0.180993i | \(-0.942069\pi\) |
0.761226 | − | 0.648487i | \(-0.224598\pi\) | |||||||
\(840\) | 7.46410 | − | 6.46410i | 0.257536 | − | 0.223033i | ||||
\(841\) | −10.0000 | + | 17.3205i | −0.344828 | + | 0.597259i | ||||
\(842\) | 17.5981 | − | 10.1603i | 0.606470 | − | 0.350145i | ||||
\(843\) | 15.0622 | + | 4.03590i | 0.518769 | + | 0.139004i | ||||
\(844\) | − | 14.5359i | − | 0.500346i | ||||||
\(845\) | 3.33013 | − | 24.8923i | 0.114560 | − | 0.856321i | ||||
\(846\) | − | 1.85641i | − | 0.0638246i | ||||||
\(847\) | −3.40192 | + | 9.82051i | −0.116891 | + | 0.337437i | ||||
\(848\) | 9.52628 | + | 16.5000i | 0.327134 | + | 0.566612i | ||||
\(849\) | 10.8564 | + | 6.26795i | 0.372591 | + | 0.215115i | ||||
\(850\) | −2.41154 | − | 2.41154i | −0.0827152 | − | 0.0827152i | ||||
\(851\) | −15.4904 | − | 57.8109i | −0.531003 | − | 1.98173i | ||||
\(852\) | −2.53590 | − | 9.46410i | −0.0868784 | − | 0.324235i | ||||
\(853\) | −2.43782 | + | 2.43782i | −0.0834694 | + | 0.0834694i | −0.747609 | − | 0.664139i | \(-0.768798\pi\) |
0.664139 | + | 0.747609i | \(0.268798\pi\) | |||||||
\(854\) | −4.96410 | + | 7.33013i | −0.169868 | + | 0.250832i | ||||
\(855\) | −4.73205 | + | 2.73205i | −0.161833 | + | 0.0934342i | ||||
\(856\) | 3.73205 | − | 13.9282i | 0.127559 | − | 0.476056i | ||||
\(857\) | −21.6795 | −0.740557 | −0.370279 | − | 0.928921i | \(-0.620738\pi\) | ||||
−0.370279 | + | 0.928921i | \(0.620738\pi\) | |||||||
\(858\) | 3.19615 | − | 6.46410i | 0.109115 | − | 0.220681i | ||||
\(859\) | − | 3.51666i | − | 0.119987i | −0.998199 | − | 0.0599935i | \(-0.980892\pi\) | ||
0.998199 | − | 0.0599935i | \(-0.0191080\pi\) | |||||||
\(860\) | 6.92820 | − | 25.8564i | 0.236250 | − | 0.881696i | ||||
\(861\) | 22.0885 | − | 10.7224i | 0.752773 | − | 0.365420i | ||||
\(862\) | −1.22243 | − | 0.705771i | −0.0416362 | − | 0.0240387i | ||||
\(863\) | 15.8564 | − | 15.8564i | 0.539758 | − | 0.539758i | −0.383700 | − | 0.923458i | \(-0.625350\pi\) |
0.923458 | + | 0.383700i | \(0.125350\pi\) | |||||||
\(864\) | 4.96410 | − | 1.33013i | 0.168882 | − | 0.0452518i | ||||
\(865\) | 43.5167 | − | 11.6603i | 1.47961 | − | 0.396461i | ||||
\(866\) | 3.70577 | − | 3.70577i | 0.125927 | − | 0.125927i | ||||
\(867\) | −8.66025 | − | 5.00000i | −0.294118 | − | 0.169809i | ||||
\(868\) | −19.0526 | + | 9.24871i | −0.646686 | + | 0.313922i | ||||
\(869\) | −15.6603 | + | 58.4449i | −0.531238 | + | 1.98261i | ||||
\(870\) | − | 7.00000i | − | 0.237322i | ||||||
\(871\) | 29.6147 | + | 26.0263i | 1.00346 | + | 0.881867i | ||||
\(872\) | −21.1244 | −0.715361 | ||||||||
\(873\) | 1.36603 | − | 5.09808i | 0.0462330 | − | 0.172544i | ||||
\(874\) | 7.85641 | − | 4.53590i | 0.265747 | − | 0.153429i | ||||
\(875\) | 26.5263 | + | 17.9641i | 0.896752 | + | 0.607297i | ||||
\(876\) | 14.3660 | − | 14.3660i | 0.485383 | − | 0.485383i | ||||
\(877\) | −13.8468 | − | 51.6769i | −0.467573 | − | 1.74501i | −0.648216 | − | 0.761457i | \(-0.724485\pi\) |
0.180643 | − | 0.983549i | \(-0.442182\pi\) | |||||||
\(878\) | −5.39230 | − | 20.1244i | −0.181981 | − | 0.679164i | ||||
\(879\) | −0.705771 | − | 0.705771i | −0.0238051 | − | 0.0238051i | ||||
\(880\) | 15.9282 | + | 9.19615i | 0.536940 | + | 0.310002i | ||||
\(881\) | 19.6244 | + | 33.9904i | 0.661161 | + | 1.14517i | 0.980311 | + | 0.197461i | \(0.0632695\pi\) |
−0.319149 | + | 0.947704i | \(0.603397\pi\) | |||||||
\(882\) | −1.42820 | + | 3.33013i | −0.0480901 | + | 0.112131i | ||||
\(883\) | 27.0718i | 0.911038i | 0.890226 | + | 0.455519i | \(0.150546\pi\) | ||||
−0.890226 | + | 0.455519i | \(0.849454\pi\) | |||||||
\(884\) | 32.3827 | − | 2.08846i | 1.08915 | − | 0.0702424i | ||||
\(885\) | − | 0.732051i | − | 0.0246076i | ||||||
\(886\) | 5.19615 | + | 1.39230i | 0.174568 | + | 0.0467754i | ||||
\(887\) | −41.1051 | + | 23.7321i | −1.38017 | + | 0.796844i | −0.992180 | − | 0.124817i | \(-0.960166\pi\) |
−0.387995 | + | 0.921661i | \(0.626832\pi\) | |||||||
\(888\) | −9.33013 | + | 16.1603i | −0.313099 | + | 0.542303i | ||||
\(889\) | −19.5167 | − | 22.5359i | −0.654568 | − | 0.755830i | ||||
\(890\) | −2.63397 | − | 9.83013i | −0.0882910 | − | 0.329507i | ||||
\(891\) | 3.73205 | − | 1.00000i | 0.125028 | − | 0.0335013i | ||||
\(892\) | 11.8756 | − | 11.8756i | 0.397626 | − | 0.397626i | ||||
\(893\) | 5.07180 | − | 8.78461i | 0.169721 | − | 0.293966i | ||||
\(894\) | 0.526279 | + | 0.911543i | 0.0176014 | + | 0.0304865i | ||||
\(895\) | −20.7583 | − | 5.56218i | −0.693874 | − | 0.185923i | ||||
\(896\) | −30.2224 | − | 2.16987i | −1.00966 | − | 0.0724904i | ||||
\(897\) | −18.5885 | + | 12.3923i | −0.620651 | + | 0.413767i | ||||
\(898\) | 3.12436 | 0.104261 | ||||||||
\(899\) | −8.37307 | + | 31.2487i | −0.279257 | + | 1.04220i | ||||
\(900\) | 1.09808 | + | 1.90192i | 0.0366025 | + | 0.0633975i | ||||
\(901\) | 20.0885 | − | 34.7942i | 0.669244 | − | 1.15916i | ||||
\(902\) | −13.1244 | − | 13.1244i | −0.436993 | − | 0.436993i | ||||
\(903\) | 4.00000 | + | 20.7846i | 0.133112 | + | 0.691669i | ||||
\(904\) | 2.86603 | − | 0.767949i | 0.0953226 | − | 0.0255416i | ||||
\(905\) | 10.8301 | + | 10.8301i | 0.360006 | + | 0.360006i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −21.0788 | + | 12.1699i | −0.699911 | + | 0.404094i | −0.807314 | − | 0.590122i | \(-0.799080\pi\) |
0.107403 | + | 0.994216i | \(0.465746\pi\) | |||||||
\(908\) | −16.2224 | − | 4.34679i | −0.538360 | − | 0.144253i | ||||
\(909\) | −3.92820 | −0.130290 | ||||||||
\(910\) | 9.23205 | − | 2.40192i | 0.306040 | − | 0.0796230i | ||||
\(911\) | −5.07180 | −0.168036 | −0.0840181 | − | 0.996464i | \(-0.526775\pi\) | ||||
−0.0840181 | + | 0.996464i | \(0.526775\pi\) | |||||||
\(912\) | 6.73205 | + | 1.80385i | 0.222920 | + | 0.0597314i | ||||
\(913\) | 32.7846 | − | 18.9282i | 1.08501 | − | 0.626432i | ||||
\(914\) | −12.7750 | − | 7.37564i | −0.422559 | − | 0.243965i | ||||
\(915\) | 8.83013 | + | 8.83013i | 0.291915 | + | 0.291915i | ||||
\(916\) | 28.6865 | − | 7.68653i | 0.947830 | − | 0.253970i | ||||
\(917\) | −36.8827 | + | 7.09808i | −1.21797 | + | 0.234399i | ||||
\(918\) | −1.90192 | − | 1.90192i | −0.0627728 | − | 0.0627728i | ||||
\(919\) | 7.22243 | − | 12.5096i | 0.238246 | − | 0.412654i | −0.721965 | − | 0.691930i | \(-0.756761\pi\) |
0.960211 | + | 0.279275i | \(0.0900942\pi\) | |||||||
\(920\) | 11.5622 | + | 20.0263i | 0.381194 | + | 0.660247i | ||||
\(921\) | 1.43782 | − | 5.36603i | 0.0473779 | − | 0.176817i | ||||
\(922\) | −1.09103 | −0.0359313 | ||||||||
\(923\) | 4.00000 | − | 20.0000i | 0.131662 | − | 0.658308i | ||||
\(924\) | −17.6603 | − | 1.26795i | −0.580980 | − | 0.0417125i | ||||
\(925\) | −11.8301 | − | 3.16987i | −0.388972 | − | 0.104225i | ||||
\(926\) | −3.00000 | − | 5.19615i | −0.0985861 | − | 0.170756i | ||||
\(927\) | 3.46410 | − | 6.00000i | 0.113776 | − | 0.197066i | ||||
\(928\) | −25.4378 | + | 25.4378i | −0.835037 | + | 0.835037i | ||||
\(929\) | 56.0429 | − | 15.0167i | 1.83871 | − | 0.492681i | 0.839958 | − | 0.542651i | \(-0.182579\pi\) |
0.998751 | + | 0.0499700i | \(0.0159126\pi\) | |||||||
\(930\) | −1.19615 | − | 4.46410i | −0.0392234 | − | 0.146384i | ||||
\(931\) | −15.8564 | + | 11.8564i | −0.519673 | + | 0.388578i | ||||
\(932\) | 1.73205 | − | 3.00000i | 0.0567352 | − | 0.0982683i | ||||
\(933\) | 11.8301 | − | 6.83013i | 0.387301 | − | 0.223608i | ||||
\(934\) | 15.3923 | + | 4.12436i | 0.503652 | + | 0.134953i | ||||
\(935\) | − | 38.7846i | − | 1.26839i | ||||||
\(936\) | 6.83013 | + | 1.36603i | 0.223250 | + | 0.0446499i | ||||
\(937\) | 47.1051i | 1.53886i | 0.638733 | + | 0.769429i | \(0.279459\pi\) | ||||
−0.638733 | + | 0.769429i | \(0.720541\pi\) | |||||||
\(938\) | −4.90192 | + | 14.1506i | −0.160053 | + | 0.462035i | ||||
\(939\) | −4.80385 | − | 8.32051i | −0.156768 | − | 0.271530i | ||||
\(940\) | 10.3923 | + | 6.00000i | 0.338960 | + | 0.195698i | ||||
\(941\) | 38.3205 | + | 38.3205i | 1.24921 | + | 1.24921i | 0.956068 | + | 0.293145i | \(0.0947018\pi\) |
0.293145 | + | 0.956068i | \(0.405298\pi\) | |||||||
\(942\) | 0.179492 | + | 0.669873i | 0.00584816 | + | 0.0218256i | ||||
\(943\) | 14.8827 | + | 55.5429i | 0.484647 | + | 1.80873i | ||||
\(944\) | −0.660254 | + | 0.660254i | −0.0214894 | + | 0.0214894i | ||||
\(945\) | 4.23205 | + | 2.86603i | 0.137669 | + | 0.0932318i | ||||
\(946\) | 13.8564 | − | 8.00000i | 0.450511 | − | 0.260102i | ||||
\(947\) | 5.60770 | − | 20.9282i | 0.182226 | − | 0.680075i | −0.812982 | − | 0.582289i | \(-0.802157\pi\) |
0.995207 | − | 0.0977862i | \(-0.0311761\pi\) | |||||||
\(948\) | −27.1244 | −0.880958 | ||||||||
\(949\) | 40.0622 | − | 13.5526i | 1.30047 | − | 0.439935i | ||||
\(950\) | − | 1.85641i | − | 0.0602298i | ||||||
\(951\) | −8.33013 | + | 31.0885i | −0.270123 | + | 1.00811i | ||||
\(952\) | 11.5981 | + | 23.8923i | 0.375896 | + | 0.774354i | ||||
\(953\) | 23.9090 | + | 13.8038i | 0.774487 | + | 0.447150i | 0.834473 | − | 0.551049i | \(-0.185772\pi\) |
−0.0599857 | + | 0.998199i | \(0.519106\pi\) | |||||||
\(954\) | 2.83013 | − | 2.83013i | 0.0916287 | − | 0.0916287i | ||||
\(955\) | −23.3923 | + | 6.26795i | −0.756957 | + | 0.202826i | ||||
\(956\) | 0.803848 | − | 0.215390i | 0.0259983 | − | 0.00696622i | ||||
\(957\) | −19.1244 | + | 19.1244i | −0.618203 | + | 0.618203i | ||||
\(958\) | −7.05256 | − | 4.07180i | −0.227858 | − | 0.131554i | ||||
\(959\) | 13.2321 | + | 27.2583i | 0.427285 | + | 0.880217i | ||||
\(960\) | −1.13397 | + | 4.23205i | −0.0365989 | + | 0.136589i | ||||
\(961\) | − | 9.64102i | − | 0.311001i | ||||||
\(962\) | −15.0000 | + | 10.0000i | −0.483619 | + | 0.322413i | ||||
\(963\) | 7.46410 | 0.240527 | ||||||||
\(964\) | 11.3038 | − | 42.1865i | 0.364072 | − | 1.35874i | ||||
\(965\) | 14.5981 | − | 8.42820i | 0.469929 | − | 0.271313i | ||||
\(966\) | −7.02628 | − | 4.75833i | −0.226067 | − | 0.153097i | ||||
\(967\) | −8.85641 | + | 8.85641i | −0.284803 | + | 0.284803i | −0.835021 | − | 0.550218i | \(-0.814545\pi\) |
0.550218 | + | 0.835021i | \(0.314545\pi\) | |||||||
\(968\) | 1.96410 | + | 7.33013i | 0.0631286 | + | 0.235599i | ||||
\(969\) | −3.80385 | − | 14.1962i | −0.122197 | − | 0.456046i | ||||
\(970\) | −3.73205 | − | 3.73205i | −0.119829 | − | 0.119829i | ||||
\(971\) | −21.8827 | − | 12.6340i | −0.702249 | − | 0.405444i | 0.105936 | − | 0.994373i | \(-0.466216\pi\) |
−0.808184 | + | 0.588929i | \(0.799550\pi\) | |||||||
\(972\) | 0.866025 | + | 1.50000i | 0.0277778 | + | 0.0481125i | ||||
\(973\) | 7.09808 | − | 20.4904i | 0.227554 | − | 0.656891i | ||||
\(974\) | 1.90897i | 0.0611672i | ||||||||
\(975\) | 0.294229 | + | 4.56218i | 0.00942286 | + | 0.146107i | ||||
\(976\) | − | 15.9282i | − | 0.509849i | ||||||
\(977\) | 49.8205 | + | 13.3494i | 1.59390 | + | 0.427084i | 0.943193 | − | 0.332245i | \(-0.107806\pi\) |
0.650706 | + | 0.759330i | \(0.274473\pi\) | |||||||
\(978\) | −0.758330 | + | 0.437822i | −0.0242487 | + | 0.0140000i | ||||
\(979\) | −19.6603 | + | 34.0526i | −0.628344 | + | 1.08832i | ||||
\(980\) | −14.0263 | − | 18.7583i | −0.448053 | − | 0.599213i | ||||
\(981\) | −2.83013 | − | 10.5622i | −0.0903590 | − | 0.337224i | ||||
\(982\) | −6.29423 | + | 1.68653i | −0.200857 | + | 0.0538194i | ||||
\(983\) | −36.1244 | + | 36.1244i | −1.15219 | + | 1.15219i | −0.166075 | + | 0.986113i | \(0.553109\pi\) |
−0.986113 | + | 0.166075i | \(0.946891\pi\) | |||||||
\(984\) | 8.96410 | − | 15.5263i | 0.285765 | − | 0.494960i | ||||
\(985\) | 9.83013 | + | 17.0263i | 0.313214 | + | 0.542502i | ||||
\(986\) | 18.1865 | + | 4.87307i | 0.579177 | + | 0.155190i | ||||
\(987\) | −9.46410 | − | 0.679492i | −0.301246 | − | 0.0216285i | ||||
\(988\) | 13.2679 | + | 11.6603i | 0.422110 | + | 0.370962i | ||||
\(989\) | −49.5692 | −1.57621 | ||||||||
\(990\) | 1.00000 | − | 3.73205i | 0.0317821 | − | 0.118612i | ||||
\(991\) | 8.36603 | + | 14.4904i | 0.265756 | + | 0.460302i | 0.967761 | − | 0.251869i | \(-0.0810453\pi\) |
−0.702006 | + | 0.712171i | \(0.747712\pi\) | |||||||
\(992\) | −11.8756 | + | 20.5692i | −0.377052 | + | 0.653073i | ||||
\(993\) | −4.80385 | − | 4.80385i | −0.152445 | − | 0.152445i | ||||
\(994\) | 7.60770 | − | 1.46410i | 0.241301 | − | 0.0464385i | ||||
\(995\) | −34.5885 | + | 9.26795i | −1.09653 | + | 0.293814i | ||||
\(996\) | 12.0000 | + | 12.0000i | 0.380235 | + | 0.380235i | ||||
\(997\) | −27.8660 | − | 16.0885i | −0.882526 | − | 0.509527i | −0.0110355 | − | 0.999939i | \(-0.503513\pi\) |
−0.871490 | + | 0.490413i | \(0.836846\pi\) | |||||||
\(998\) | −1.51666 | + | 0.875644i | −0.0480090 | + | 0.0277180i | ||||
\(999\) | −9.33013 | − | 2.50000i | −0.295192 | − | 0.0790965i |
(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 | 273.2.by.a.223.1 | yes | 4 | |
3.2 | odd | 2 | 819.2.fm.b.496.1 | 4 | |||
7.6 | odd | 2 | 273.2.by.b.223.1 | yes | 4 | ||
13.7 | odd | 12 | 273.2.by.b.202.1 | yes | 4 | ||
21.20 | even | 2 | 819.2.fm.a.496.1 | 4 | |||
39.20 | even | 12 | 819.2.fm.a.748.1 | 4 | |||
91.20 | even | 12 | inner | 273.2.by.a.202.1 | ✓ | 4 | |
273.20 | odd | 12 | 819.2.fm.b.748.1 | 4 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
273.2.by.a.202.1 | ✓ | 4 | 91.20 | even | 12 | inner | |
273.2.by.a.223.1 | yes | 4 | 1.1 | even | 1 | trivial | |
273.2.by.b.202.1 | yes | 4 | 13.7 | odd | 12 | ||
273.2.by.b.223.1 | yes | 4 | 7.6 | odd | 2 | ||
819.2.fm.a.496.1 | 4 | 21.20 | even | 2 | |||
819.2.fm.a.748.1 | 4 | 39.20 | even | 12 | |||
819.2.fm.b.496.1 | 4 | 3.2 | odd | 2 | |||
819.2.fm.b.748.1 | 4 | 273.20 | odd | 12 |