Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [605,2,Mod(362,605)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(605, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([1, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("605.362");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 605 = 5 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 605.e (of order \(4\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.83094932229\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(16\) over \(\Q(i)\) |
Twist minimal: | no (minimal twist has level 55) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 362.5 | ||
Character | \(\chi\) | \(=\) | 605.362 |
Dual form | 605.2.e.b.483.5 |
$q$-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 \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).
\(n\) | \(122\) | \(486\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.875624 | + | 0.875624i | −0.619159 | + | 0.619159i | −0.945316 | − | 0.326156i | \(-0.894246\pi\) |
0.326156 | + | 0.945316i | \(0.394246\pi\) | |||||||
\(3\) | −1.79897 | + | 1.79897i | −1.03864 | + | 1.03864i | −0.0394132 | + | 0.999223i | \(0.512549\pi\) |
−0.999223 | + | 0.0394132i | \(0.987451\pi\) | |||||||
\(4\) | 0.466567i | 0.233283i | ||||||||
\(5\) | 1.70992 | + | 1.44089i | 0.764701 | + | 0.644385i | ||||
\(6\) | − | 3.15044i | − | 1.28616i | ||||||
\(7\) | −2.45241 | + | 2.45241i | −0.926925 | + | 0.926925i | −0.997506 | − | 0.0705808i | \(-0.977515\pi\) |
0.0705808 | + | 0.997506i | \(0.477515\pi\) | |||||||
\(8\) | −2.15978 | − | 2.15978i | −0.763599 | − | 0.763599i | ||||
\(9\) | − | 3.47259i | − | 1.15753i | ||||||
\(10\) | −2.75893 | + | 0.235572i | −0.872449 | + | 0.0744944i | ||||
\(11\) | 0 | 0 | ||||||||
\(12\) | −0.839340 | − | 0.839340i | −0.242297 | − | 0.242297i | ||||
\(13\) | −0.522974 | − | 0.522974i | −0.145047 | − | 0.145047i | 0.630854 | − | 0.775901i | \(-0.282705\pi\) |
−0.775901 | + | 0.630854i | \(0.782705\pi\) | |||||||
\(14\) | − | 4.29478i | − | 1.14783i | ||||||
\(15\) | −5.66822 | + | 0.483983i | −1.46353 | + | 0.124964i | ||||
\(16\) | 2.84918 | 0.712295 | ||||||||
\(17\) | 0.436483 | − | 0.436483i | 0.105863 | − | 0.105863i | −0.652191 | − | 0.758054i | \(-0.726150\pi\) |
0.758054 | + | 0.652191i | \(0.226150\pi\) | |||||||
\(18\) | 3.04068 | + | 3.04068i | 0.716696 | + | 0.716696i | ||||
\(19\) | −3.14536 | −0.721596 | −0.360798 | − | 0.932644i | \(-0.617496\pi\) | ||||
−0.360798 | + | 0.932644i | \(0.617496\pi\) | |||||||
\(20\) | −0.672271 | + | 0.797794i | −0.150324 | + | 0.178392i | ||||
\(21\) | − | 8.82364i | − | 1.92548i | ||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −4.30752 | + | 4.30752i | −0.898181 | + | 0.898181i | −0.995275 | − | 0.0970945i | \(-0.969045\pi\) |
0.0970945 | + | 0.995275i | \(0.469045\pi\) | |||||||
\(24\) | 7.77078 | 1.58620 | ||||||||
\(25\) | 0.847674 | + | 4.92762i | 0.169535 | + | 0.985524i | ||||
\(26\) | 0.915857 | 0.179614 | ||||||||
\(27\) | 0.850177 | + | 0.850177i | 0.163617 | + | 0.163617i | ||||
\(28\) | −1.14422 | − | 1.14422i | −0.216236 | − | 0.216236i | ||||
\(29\) | 2.90066 | 0.538639 | 0.269320 | − | 0.963051i | \(-0.413201\pi\) | ||||
0.269320 | + | 0.963051i | \(0.413201\pi\) | |||||||
\(30\) | 4.53944 | − | 5.38701i | 0.828784 | − | 0.983530i | ||||
\(31\) | 3.03541 | 0.545175 | 0.272588 | − | 0.962131i | \(-0.412121\pi\) | ||||
0.272588 | + | 0.962131i | \(0.412121\pi\) | |||||||
\(32\) | 1.82476 | − | 1.82476i | 0.322575 | − | 0.322575i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0.764390i | 0.131092i | ||||||||
\(35\) | −7.72710 | + | 0.659781i | −1.30612 | + | 0.111523i | ||||
\(36\) | 1.62020 | 0.270033 | ||||||||
\(37\) | 1.62689 | + | 1.62689i | 0.267459 | + | 0.267459i | 0.828075 | − | 0.560617i | \(-0.189436\pi\) |
−0.560617 | + | 0.828075i | \(0.689436\pi\) | |||||||
\(38\) | 2.75415 | − | 2.75415i | 0.446783 | − | 0.446783i | ||||
\(39\) | 1.88163 | 0.301302 | ||||||||
\(40\) | −0.581054 | − | 6.80507i | −0.0918727 | − | 1.07598i | ||||
\(41\) | − | 1.02033i | − | 0.159348i | −0.996821 | − | 0.0796740i | \(-0.974612\pi\) | ||
0.996821 | − | 0.0796740i | \(-0.0253879\pi\) | |||||||
\(42\) | 7.72619 | + | 7.72619i | 1.19218 | + | 1.19218i | ||||
\(43\) | 4.07488 | + | 4.07488i | 0.621413 | + | 0.621413i | 0.945893 | − | 0.324480i | \(-0.105189\pi\) |
−0.324480 | + | 0.945893i | \(0.605189\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 5.00362 | − | 5.93786i | 0.745896 | − | 0.885164i | ||||
\(46\) | − | 7.54354i | − | 1.11223i | ||||||
\(47\) | 0.767455 | + | 0.767455i | 0.111945 | + | 0.111945i | 0.760860 | − | 0.648916i | \(-0.224777\pi\) |
−0.648916 | + | 0.760860i | \(0.724777\pi\) | |||||||
\(48\) | −5.12559 | + | 5.12559i | −0.739816 | + | 0.739816i | ||||
\(49\) | − | 5.02867i | − | 0.718381i | ||||||
\(50\) | −5.05698 | − | 3.57250i | −0.715166 | − | 0.505227i | ||||
\(51\) | 1.57044i | 0.219906i | ||||||||
\(52\) | 0.244003 | − | 0.244003i | 0.0338371 | − | 0.0338371i | ||||
\(53\) | 3.03651 | − | 3.03651i | 0.417097 | − | 0.417097i | −0.467105 | − | 0.884202i | \(-0.654703\pi\) |
0.884202 | + | 0.467105i | \(0.154703\pi\) | |||||||
\(54\) | −1.48887 | −0.202609 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 10.5934 | 1.41560 | ||||||||
\(57\) | 5.65842 | − | 5.65842i | 0.749476 | − | 0.749476i | ||||
\(58\) | −2.53989 | + | 2.53989i | −0.333503 | + | 0.333503i | ||||
\(59\) | − | 7.40201i | − | 0.963659i | −0.876265 | − | 0.481830i | \(-0.839972\pi\) | ||
0.876265 | − | 0.481830i | \(-0.160028\pi\) | |||||||
\(60\) | −0.225811 | − | 2.64460i | −0.0291520 | − | 0.341417i | ||||
\(61\) | − | 3.74757i | − | 0.479827i | −0.970794 | − | 0.239913i | \(-0.922881\pi\) | ||
0.970794 | − | 0.239913i | \(-0.0771190\pi\) | |||||||
\(62\) | −2.65787 | + | 2.65787i | −0.337550 | + | 0.337550i | ||||
\(63\) | 8.51623 | + | 8.51623i | 1.07294 | + | 1.07294i | ||||
\(64\) | 8.89396i | 1.11175i | ||||||||
\(65\) | −0.140698 | − | 1.64779i | −0.0174514 | − | 0.204384i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −9.39407 | − | 9.39407i | −1.14767 | − | 1.14767i | −0.987010 | − | 0.160658i | \(-0.948639\pi\) |
−0.160658 | − | 0.987010i | \(-0.551361\pi\) | |||||||
\(68\) | 0.203649 | + | 0.203649i | 0.0246960 | + | 0.0246960i | ||||
\(69\) | − | 15.4982i | − | 1.86577i | ||||||
\(70\) | 6.18831 | − | 7.34375i | 0.739644 | − | 0.877746i | ||||
\(71\) | 3.61431 | 0.428940 | 0.214470 | − | 0.976731i | \(-0.431198\pi\) | ||||
0.214470 | + | 0.976731i | \(0.431198\pi\) | |||||||
\(72\) | −7.50005 | + | 7.50005i | −0.883889 | + | 0.883889i | ||||
\(73\) | −0.380170 | − | 0.380170i | −0.0444955 | − | 0.0444955i | 0.684509 | − | 0.729004i | \(-0.260017\pi\) |
−0.729004 | + | 0.684509i | \(0.760017\pi\) | |||||||
\(74\) | −2.84908 | −0.331199 | ||||||||
\(75\) | −10.3896 | − | 7.33971i | −1.19969 | − | 0.847516i | ||||
\(76\) | − | 1.46752i | − | 0.168336i | ||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −1.64760 | + | 1.64760i | −0.186554 | + | 0.186554i | ||||
\(79\) | −12.2069 | −1.37339 | −0.686694 | − | 0.726947i | \(-0.740939\pi\) | ||||
−0.686694 | + | 0.726947i | \(0.740939\pi\) | |||||||
\(80\) | 4.87188 | + | 4.10536i | 0.544693 | + | 0.458993i | ||||
\(81\) | 7.35889 | 0.817654 | ||||||||
\(82\) | 0.893421 | + | 0.893421i | 0.0986618 | + | 0.0986618i | ||||
\(83\) | 11.3337 | + | 11.3337i | 1.24404 | + | 1.24404i | 0.958311 | + | 0.285726i | \(0.0922346\pi\) |
0.285726 | + | 0.958311i | \(0.407765\pi\) | |||||||
\(84\) | 4.11682 | 0.449182 | ||||||||
\(85\) | 1.37528 | − | 0.117429i | 0.149170 | − | 0.0127369i | ||||
\(86\) | −7.13612 | −0.769507 | ||||||||
\(87\) | −5.21820 | + | 5.21820i | −0.559450 | + | 0.559450i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 14.6832i | 1.55642i | 0.628004 | + | 0.778210i | \(0.283872\pi\) | ||||
−0.628004 | + | 0.778210i | \(0.716128\pi\) | |||||||
\(90\) | 0.818045 | + | 9.58062i | 0.0862295 | + | 1.00989i | ||||
\(91\) | 2.56510 | 0.268895 | ||||||||
\(92\) | −2.00975 | − | 2.00975i | −0.209531 | − | 0.209531i | ||||
\(93\) | −5.46061 | + | 5.46061i | −0.566239 | + | 0.566239i | ||||
\(94\) | −1.34400 | −0.138623 | ||||||||
\(95\) | −5.37833 | − | 4.53212i | −0.551805 | − | 0.464986i | ||||
\(96\) | 6.56537i | 0.670075i | ||||||||
\(97\) | −10.1476 | − | 10.1476i | −1.03034 | − | 1.03034i | −0.999525 | − | 0.0308108i | \(-0.990191\pi\) |
−0.0308108 | − | 0.999525i | \(-0.509809\pi\) | |||||||
\(98\) | 4.40322 | + | 4.40322i | 0.444792 | + | 0.444792i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −2.29906 | + | 0.395497i | −0.229906 | + | 0.0395497i | ||||
\(101\) | 8.06636i | 0.802633i | 0.915940 | + | 0.401316i | \(0.131447\pi\) | ||||
−0.915940 | + | 0.401316i | \(0.868553\pi\) | |||||||
\(102\) | −1.37512 | − | 1.37512i | −0.136157 | − | 0.136157i | ||||
\(103\) | 2.53271 | − | 2.53271i | 0.249555 | − | 0.249555i | −0.571233 | − | 0.820788i | \(-0.693535\pi\) |
0.820788 | + | 0.571233i | \(0.193535\pi\) | |||||||
\(104\) | 2.25902i | 0.221515i | ||||||||
\(105\) | 12.7139 | − | 15.0877i | 1.24075 | − | 1.47241i | ||||
\(106\) | 5.31769i | 0.516499i | ||||||||
\(107\) | −4.66444 | + | 4.66444i | −0.450929 | + | 0.450929i | −0.895663 | − | 0.444734i | \(-0.853298\pi\) |
0.444734 | + | 0.895663i | \(0.353298\pi\) | |||||||
\(108\) | −0.396664 | + | 0.396664i | −0.0381690 | + | 0.0381690i | ||||
\(109\) | −7.21601 | −0.691169 | −0.345584 | − | 0.938388i | \(-0.612319\pi\) | ||||
−0.345584 | + | 0.938388i | \(0.612319\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −5.85345 | −0.555585 | ||||||||
\(112\) | −6.98737 | + | 6.98737i | −0.660245 | + | 0.660245i | ||||
\(113\) | −2.98628 | + | 2.98628i | −0.280925 | + | 0.280925i | −0.833478 | − | 0.552553i | \(-0.813654\pi\) |
0.552553 | + | 0.833478i | \(0.313654\pi\) | |||||||
\(114\) | 9.90929i | 0.928090i | ||||||||
\(115\) | −13.5722 | + | 1.15887i | −1.26561 | + | 0.108065i | ||||
\(116\) | 1.35335i | 0.125656i | ||||||||
\(117\) | −1.81608 | + | 1.81608i | −0.167896 | + | 0.167896i | ||||
\(118\) | 6.48137 | + | 6.48137i | 0.596659 | + | 0.596659i | ||||
\(119\) | 2.14088i | 0.196254i | ||||||||
\(120\) | 13.2874 | + | 11.1968i | 1.21297 | + | 1.02213i | ||||
\(121\) | 0 | 0 | ||||||||
\(122\) | 3.28146 | + | 3.28146i | 0.297089 | + | 0.297089i | ||||
\(123\) | 1.83554 | + | 1.83554i | 0.165505 | + | 0.165505i | ||||
\(124\) | 1.41622i | 0.127180i | ||||||||
\(125\) | −5.65070 | + | 9.64726i | −0.505414 | + | 0.862877i | ||||
\(126\) | −14.9140 | −1.32865 | ||||||||
\(127\) | −9.18180 | + | 9.18180i | −0.814753 | + | 0.814753i | −0.985342 | − | 0.170589i | \(-0.945433\pi\) |
0.170589 | + | 0.985342i | \(0.445433\pi\) | |||||||
\(128\) | −4.13825 | − | 4.13825i | −0.365773 | − | 0.365773i | ||||
\(129\) | −14.6612 | −1.29084 | ||||||||
\(130\) | 1.56605 | + | 1.31965i | 0.137351 | + | 0.115741i | ||||
\(131\) | 17.2362i | 1.50593i | 0.658058 | + | 0.752967i | \(0.271378\pi\) | ||||
−0.658058 | + | 0.752967i | \(0.728622\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 7.71373 | − | 7.71373i | 0.668866 | − | 0.668866i | ||||
\(134\) | 16.4513 | 1.42118 | ||||||||
\(135\) | 0.228726 | + | 2.67875i | 0.0196856 | + | 0.230550i | ||||
\(136\) | −1.88542 | −0.161673 | ||||||||
\(137\) | 4.06710 | + | 4.06710i | 0.347476 | + | 0.347476i | 0.859168 | − | 0.511693i | \(-0.170981\pi\) |
−0.511693 | + | 0.859168i | \(0.670981\pi\) | |||||||
\(138\) | 13.5706 | + | 13.5706i | 1.15521 | + | 1.15521i | ||||
\(139\) | −12.8159 | −1.08703 | −0.543516 | − | 0.839399i | \(-0.682907\pi\) | ||||
−0.543516 | + | 0.839399i | \(0.682907\pi\) | |||||||
\(140\) | −0.307832 | − | 3.60521i | −0.0260166 | − | 0.304696i | ||||
\(141\) | −2.76126 | −0.232540 | ||||||||
\(142\) | −3.16478 | + | 3.16478i | −0.265582 | + | 0.265582i | ||||
\(143\) | 0 | 0 | ||||||||
\(144\) | − | 9.89404i | − | 0.824503i | ||||||
\(145\) | 4.95991 | + | 4.17953i | 0.411898 | + | 0.347091i | ||||
\(146\) | 0.665772 | 0.0550996 | ||||||||
\(147\) | 9.04642 | + | 9.04642i | 0.746136 | + | 0.746136i | ||||
\(148\) | −0.759052 | + | 0.759052i | −0.0623937 | + | 0.0623937i | ||||
\(149\) | −19.1787 | −1.57118 | −0.785590 | − | 0.618748i | \(-0.787640\pi\) | ||||
−0.785590 | + | 0.618748i | \(0.787640\pi\) | |||||||
\(150\) | 15.5242 | − | 2.67055i | 1.26754 | − | 0.218049i | ||||
\(151\) | − | 18.9227i | − | 1.53991i | −0.638099 | − | 0.769954i | \(-0.720279\pi\) | ||
0.638099 | − | 0.769954i | \(-0.279721\pi\) | |||||||
\(152\) | 6.79331 | + | 6.79331i | 0.551010 | + | 0.551010i | ||||
\(153\) | −1.51573 | − | 1.51573i | −0.122539 | − | 0.122539i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 5.19031 | + | 4.37369i | 0.416896 | + | 0.351303i | ||||
\(156\) | 0.877907i | 0.0702888i | ||||||||
\(157\) | −8.68443 | − | 8.68443i | −0.693093 | − | 0.693093i | 0.269818 | − | 0.962911i | \(-0.413036\pi\) |
−0.962911 | + | 0.269818i | \(0.913036\pi\) | |||||||
\(158\) | 10.6887 | − | 10.6887i | 0.850346 | − | 0.850346i | ||||
\(159\) | 10.9252i | 0.866425i | ||||||||
\(160\) | 5.74947 | − | 0.490921i | 0.454536 | − | 0.0388107i | ||||
\(161\) | − | 21.1277i | − | 1.66509i | ||||||
\(162\) | −6.44361 | + | 6.44361i | −0.506258 | + | 0.506258i | ||||
\(163\) | 6.85916 | − | 6.85916i | 0.537251 | − | 0.537251i | −0.385470 | − | 0.922721i | \(-0.625961\pi\) |
0.922721 | + | 0.385470i | \(0.125961\pi\) | |||||||
\(164\) | 0.476050 | 0.0371733 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −19.8481 | −1.54051 | ||||||||
\(167\) | 8.01816 | − | 8.01816i | 0.620464 | − | 0.620464i | −0.325186 | − | 0.945650i | \(-0.605427\pi\) |
0.945650 | + | 0.325186i | \(0.105427\pi\) | |||||||
\(168\) | −19.0572 | + | 19.0572i | −1.47029 | + | 1.47029i | ||||
\(169\) | − | 12.4530i | − | 0.957923i | ||||||
\(170\) | −1.10140 | + | 1.30705i | −0.0844737 | + | 0.100246i | ||||
\(171\) | 10.9226i | 0.835269i | ||||||||
\(172\) | −1.90120 | + | 1.90120i | −0.144965 | + | 0.144965i | ||||
\(173\) | −3.24825 | − | 3.24825i | −0.246960 | − | 0.246960i | 0.572762 | − | 0.819722i | \(-0.305872\pi\) |
−0.819722 | + | 0.572762i | \(0.805872\pi\) | |||||||
\(174\) | − | 9.13836i | − | 0.692777i | ||||||
\(175\) | −14.1634 | − | 10.0057i | −1.07065 | − | 0.756361i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 13.3160 | + | 13.3160i | 1.00089 | + | 1.00089i | ||||
\(178\) | −12.8570 | − | 12.8570i | −0.963673 | − | 0.963673i | ||||
\(179\) | 2.75078i | 0.205603i | 0.994702 | + | 0.102802i | \(0.0327807\pi\) | ||||
−0.994702 | + | 0.102802i | \(0.967219\pi\) | |||||||
\(180\) | 2.77041 | + | 2.33452i | 0.206494 | + | 0.174005i | ||||
\(181\) | −7.14817 | −0.531320 | −0.265660 | − | 0.964067i | \(-0.585590\pi\) | ||||
−0.265660 | + | 0.964067i | \(0.585590\pi\) | |||||||
\(182\) | −2.24606 | + | 2.24606i | −0.166489 | + | 0.166489i | ||||
\(183\) | 6.74176 | + | 6.74176i | 0.498365 | + | 0.498365i | ||||
\(184\) | 18.6066 | 1.37170 | ||||||||
\(185\) | 0.437687 | + | 5.12602i | 0.0321794 | + | 0.376872i | ||||
\(186\) | − | 9.56288i | − | 0.701184i | ||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | −0.358069 | + | 0.358069i | −0.0261149 | + | 0.0261149i | ||||
\(189\) | −4.16997 | −0.303321 | ||||||||
\(190\) | 8.67782 | − | 0.740960i | 0.629556 | − | 0.0537549i | ||||
\(191\) | −3.48395 | −0.252090 | −0.126045 | − | 0.992025i | \(-0.540228\pi\) | ||||
−0.126045 | + | 0.992025i | \(0.540228\pi\) | |||||||
\(192\) | −16.0000 | − | 16.0000i | −1.15470 | − | 1.15470i | ||||
\(193\) | −7.68160 | − | 7.68160i | −0.552934 | − | 0.552934i | 0.374353 | − | 0.927286i | \(-0.377865\pi\) |
−0.927286 | + | 0.374353i | \(0.877865\pi\) | |||||||
\(194\) | 17.7710 | 1.27588 | ||||||||
\(195\) | 3.21744 | + | 2.71122i | 0.230406 | + | 0.194155i | ||||
\(196\) | 2.34621 | 0.167586 | ||||||||
\(197\) | 11.3729 | − | 11.3729i | 0.810285 | − | 0.810285i | −0.174391 | − | 0.984676i | \(-0.555796\pi\) |
0.984676 | + | 0.174391i | \(0.0557958\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | − | 27.7479i | − | 1.96700i | −0.180916 | − | 0.983499i | \(-0.557906\pi\) | ||
0.180916 | − | 0.983499i | \(-0.442094\pi\) | |||||||
\(200\) | 8.81180 | − | 12.4734i | 0.623089 | − | 0.882002i | ||||
\(201\) | 33.7993 | 2.38402 | ||||||||
\(202\) | −7.06309 | − | 7.06309i | −0.496957 | − | 0.496957i | ||||
\(203\) | −7.11362 | + | 7.11362i | −0.499278 | + | 0.499278i | ||||
\(204\) | −0.732716 | −0.0513004 | ||||||||
\(205\) | 1.47018 | − | 1.74468i | 0.102682 | − | 0.121854i | ||||
\(206\) | 4.43540i | 0.309029i | ||||||||
\(207\) | 14.9583 | + | 14.9583i | 1.03967 | + | 1.03967i | ||||
\(208\) | −1.49005 | − | 1.49005i | −0.103316 | − | 0.103316i | ||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 2.07860 | + | 24.3438i | 0.143437 | + | 1.67988i | ||||
\(211\) | 20.5804i | 1.41681i | 0.705804 | + | 0.708407i | \(0.250586\pi\) | ||||
−0.705804 | + | 0.708407i | \(0.749414\pi\) | |||||||
\(212\) | 1.41674 | + | 1.41674i | 0.0973019 | + | 0.0973019i | ||||
\(213\) | −6.50204 | + | 6.50204i | −0.445513 | + | 0.445513i | ||||
\(214\) | − | 8.16859i | − | 0.558393i | ||||||
\(215\) | 1.09628 | + | 12.8392i | 0.0747655 | + | 0.875625i | ||||
\(216\) | − | 3.67240i | − | 0.249875i | ||||||
\(217\) | −7.44408 | + | 7.44408i | −0.505337 | + | 0.505337i | ||||
\(218\) | 6.31851 | − | 6.31851i | 0.427943 | − | 0.427943i | ||||
\(219\) | 1.36783 | 0.0924293 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −0.456539 | −0.0307102 | ||||||||
\(222\) | 5.12542 | − | 5.12542i | 0.343995 | − | 0.343995i | ||||
\(223\) | −5.66588 | + | 5.66588i | −0.379416 | + | 0.379416i | −0.870891 | − | 0.491476i | \(-0.836458\pi\) |
0.491476 | + | 0.870891i | \(0.336458\pi\) | |||||||
\(224\) | 8.95012i | 0.598005i | ||||||||
\(225\) | 17.1116 | − | 2.94362i | 1.14077 | − | 0.196242i | ||||
\(226\) | − | 5.22971i | − | 0.347875i | ||||||
\(227\) | 2.19120 | − | 2.19120i | 0.145435 | − | 0.145435i | −0.630640 | − | 0.776075i | \(-0.717208\pi\) |
0.776075 | + | 0.630640i | \(0.217208\pi\) | |||||||
\(228\) | 2.64003 | + | 2.64003i | 0.174840 | + | 0.174840i | ||||
\(229\) | 14.7208i | 0.972780i | 0.873742 | + | 0.486390i | \(0.161687\pi\) | ||||
−0.873742 | + | 0.486390i | \(0.838313\pi\) | |||||||
\(230\) | 10.8694 | − | 12.8989i | 0.716707 | − | 0.850526i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −6.26480 | − | 6.26480i | −0.411304 | − | 0.411304i | ||||
\(233\) | −9.86086 | − | 9.86086i | −0.646006 | − | 0.646006i | 0.306019 | − | 0.952025i | \(-0.401003\pi\) |
−0.952025 | + | 0.306019i | \(0.901003\pi\) | |||||||
\(234\) | − | 3.18040i | − | 0.207909i | ||||||
\(235\) | 0.206471 | + | 2.41811i | 0.0134687 | + | 0.157740i | ||||
\(236\) | 3.45353 | 0.224806 | ||||||||
\(237\) | 21.9599 | − | 21.9599i | 1.42645 | − | 1.42645i | ||||
\(238\) | −1.87460 | − | 1.87460i | −0.121512 | − | 0.121512i | ||||
\(239\) | −3.21786 | −0.208146 | −0.104073 | − | 0.994570i | \(-0.533188\pi\) | ||||
−0.104073 | + | 0.994570i | \(0.533188\pi\) | |||||||
\(240\) | −16.1498 | + | 1.37896i | −1.04246 | + | 0.0890112i | ||||
\(241\) | 15.0738i | 0.970989i | 0.874240 | + | 0.485494i | \(0.161360\pi\) | ||||
−0.874240 | + | 0.485494i | \(0.838640\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −15.7890 | + | 15.7890i | −1.01286 | + | 1.01286i | ||||
\(244\) | 1.74849 | 0.111936 | ||||||||
\(245\) | 7.24575 | − | 8.59863i | 0.462914 | − | 0.549347i | ||||
\(246\) | −3.21448 | −0.204947 | ||||||||
\(247\) | 1.64494 | + | 1.64494i | 0.104665 | + | 0.104665i | ||||
\(248\) | −6.55583 | − | 6.55583i | −0.416295 | − | 0.416295i | ||||
\(249\) | −40.7780 | −2.58420 | ||||||||
\(250\) | −3.49948 | − | 13.3953i | −0.221326 | − | 0.847190i | ||||
\(251\) | −2.00336 | −0.126451 | −0.0632256 | − | 0.997999i | \(-0.520139\pi\) | ||||
−0.0632256 | + | 0.997999i | \(0.520139\pi\) | |||||||
\(252\) | −3.97339 | + | 3.97339i | −0.250300 | + | 0.250300i | ||||
\(253\) | 0 | 0 | ||||||||
\(254\) | − | 16.0796i | − | 1.00892i | ||||||
\(255\) | −2.26283 | + | 2.68533i | −0.141704 | + | 0.168162i | ||||
\(256\) | −10.5408 | −0.658802 | ||||||||
\(257\) | 2.69441 | + | 2.69441i | 0.168073 | + | 0.168073i | 0.786132 | − | 0.618059i | \(-0.212081\pi\) |
−0.618059 | + | 0.786132i | \(0.712081\pi\) | |||||||
\(258\) | 12.8377 | − | 12.8377i | 0.799238 | − | 0.799238i | ||||
\(259\) | −7.97961 | −0.495829 | ||||||||
\(260\) | 0.768806 | − | 0.0656448i | 0.0476793 | − | 0.00407112i | ||||
\(261\) | − | 10.0728i | − | 0.623491i | ||||||
\(262\) | −15.0924 | − | 15.0924i | −0.932413 | − | 0.932413i | ||||
\(263\) | −0.123512 | − | 0.123512i | −0.00761605 | − | 0.00761605i | 0.703289 | − | 0.710905i | \(-0.251714\pi\) |
−0.710905 | + | 0.703289i | \(0.751714\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 9.56749 | − | 0.816924i | 0.587726 | − | 0.0501832i | ||||
\(266\) | 13.5087i | 0.828269i | ||||||||
\(267\) | −26.4147 | − | 26.4147i | −1.61656 | − | 1.61656i | ||||
\(268\) | 4.38296 | − | 4.38296i | 0.267732 | − | 0.267732i | ||||
\(269\) | − | 6.92527i | − | 0.422241i | −0.977460 | − | 0.211121i | \(-0.932289\pi\) | ||
0.977460 | − | 0.211121i | \(-0.0677113\pi\) | |||||||
\(270\) | −2.54585 | − | 2.14530i | −0.154936 | − | 0.130559i | ||||
\(271\) | 22.8610i | 1.38871i | 0.719634 | + | 0.694353i | \(0.244309\pi\) | ||||
−0.719634 | + | 0.694353i | \(0.755691\pi\) | |||||||
\(272\) | 1.24362 | − | 1.24362i | 0.0754056 | − | 0.0754056i | ||||
\(273\) | −4.61454 | + | 4.61454i | −0.279285 | + | 0.279285i | ||||
\(274\) | −7.12249 | −0.430285 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 7.23096 | 0.435252 | ||||||||
\(277\) | −2.62077 | + | 2.62077i | −0.157467 | + | 0.157467i | −0.781443 | − | 0.623976i | \(-0.785516\pi\) |
0.623976 | + | 0.781443i | \(0.285516\pi\) | |||||||
\(278\) | 11.2219 | − | 11.2219i | 0.673046 | − | 0.673046i | ||||
\(279\) | − | 10.5407i | − | 0.631057i | ||||||
\(280\) | 18.1138 | + | 15.2639i | 1.08251 | + | 0.912191i | ||||
\(281\) | 3.21279i | 0.191659i | 0.995398 | + | 0.0958295i | \(0.0305504\pi\) | ||||
−0.995398 | + | 0.0958295i | \(0.969450\pi\) | |||||||
\(282\) | 2.41782 | − | 2.41782i | 0.143979 | − | 0.143979i | ||||
\(283\) | 14.9587 | + | 14.9587i | 0.889204 | + | 0.889204i | 0.994447 | − | 0.105243i | \(-0.0335620\pi\) |
−0.105243 | + | 0.994447i | \(0.533562\pi\) | |||||||
\(284\) | 1.68632i | 0.100065i | ||||||||
\(285\) | 17.8286 | − | 1.52230i | 1.05608 | − | 0.0901735i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 2.50226 | + | 2.50226i | 0.147704 | + | 0.147704i | ||||
\(288\) | −6.33664 | − | 6.33664i | −0.373390 | − | 0.373390i | ||||
\(289\) | 16.6190i | 0.977586i | ||||||||
\(290\) | −8.00271 | + | 0.683314i | −0.469935 | + | 0.0401256i | ||||
\(291\) | 36.5106 | 2.14029 | ||||||||
\(292\) | 0.177375 | − | 0.177375i | 0.0103801 | − | 0.0103801i | ||||
\(293\) | 20.2889 | + | 20.2889i | 1.18529 | + | 1.18529i | 0.978355 | + | 0.206935i | \(0.0663488\pi\) |
0.206935 | + | 0.978355i | \(0.433651\pi\) | |||||||
\(294\) | −15.8425 | −0.923955 | ||||||||
\(295\) | 10.6655 | − | 12.6569i | 0.620968 | − | 0.736911i | ||||
\(296\) | − | 7.02745i | − | 0.408462i | ||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 16.7933 | − | 16.7933i | 0.972810 | − | 0.972810i | ||||
\(299\) | 4.50545 | 0.260557 | ||||||||
\(300\) | 3.42446 | − | 4.84744i | 0.197711 | − | 0.279867i | ||||
\(301\) | −19.9866 | −1.15201 | ||||||||
\(302\) | 16.5692 | + | 16.5692i | 0.953449 | + | 0.953449i | ||||
\(303\) | −14.5111 | − | 14.5111i | −0.833643 | − | 0.833643i | ||||
\(304\) | −8.96171 | −0.513989 | ||||||||
\(305\) | 5.39983 | − | 6.40805i | 0.309193 | − | 0.366924i | ||||
\(306\) | 2.65441 | 0.151743 | ||||||||
\(307\) | −13.1727 | + | 13.1727i | −0.751808 | + | 0.751808i | −0.974817 | − | 0.223008i | \(-0.928412\pi\) |
0.223008 | + | 0.974817i | \(0.428412\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 9.11254i | 0.518394i | ||||||||
\(310\) | −8.37447 | + | 0.715057i | −0.475638 | + | 0.0406125i | ||||
\(311\) | −17.0345 | −0.965939 | −0.482969 | − | 0.875637i | \(-0.660442\pi\) | ||||
−0.482969 | + | 0.875637i | \(0.660442\pi\) | |||||||
\(312\) | −4.06392 | − | 4.06392i | −0.230074 | − | 0.230074i | ||||
\(313\) | 11.1571 | − | 11.1571i | 0.630639 | − | 0.630639i | −0.317589 | − | 0.948228i | \(-0.602873\pi\) |
0.948228 | + | 0.317589i | \(0.102873\pi\) | |||||||
\(314\) | 15.2086 | 0.858270 | ||||||||
\(315\) | 2.29115 | + | 26.8330i | 0.129092 | + | 1.51187i | ||||
\(316\) | − | 5.69535i | − | 0.320389i | ||||||
\(317\) | −4.69289 | − | 4.69289i | −0.263579 | − | 0.263579i | 0.562927 | − | 0.826506i | \(-0.309675\pi\) |
−0.826506 | + | 0.562927i | \(0.809675\pi\) | |||||||
\(318\) | −9.56636 | − | 9.56636i | −0.536455 | − | 0.536455i | ||||
\(319\) | 0 | 0 | ||||||||
\(320\) | −12.8152 | + | 15.2080i | −0.716393 | + | 0.850153i | ||||
\(321\) | − | 16.7824i | − | 0.936702i | ||||||
\(322\) | 18.4999 | + | 18.4999i | 1.03096 | + | 1.03096i | ||||
\(323\) | −1.37290 | + | 1.37290i | −0.0763901 | + | 0.0763901i | ||||
\(324\) | 3.43341i | 0.190745i | ||||||||
\(325\) | 2.13371 | − | 3.02033i | 0.118357 | − | 0.167538i | ||||
\(326\) | 12.0121i | 0.665288i | ||||||||
\(327\) | 12.9814 | − | 12.9814i | 0.717873 | − | 0.717873i | ||||
\(328\) | −2.20368 | + | 2.20368i | −0.121678 | + | 0.121678i | ||||
\(329\) | −3.76424 | −0.207529 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 12.0774 | 0.663835 | 0.331918 | − | 0.943308i | \(-0.392304\pi\) | ||||
0.331918 | + | 0.943308i | \(0.392304\pi\) | |||||||
\(332\) | −5.28794 | + | 5.28794i | −0.290213 | + | 0.290213i | ||||
\(333\) | 5.64952 | − | 5.64952i | 0.309592 | − | 0.309592i | ||||
\(334\) | 14.0418i | 0.768332i | ||||||||
\(335\) | −2.52732 | − | 29.5989i | −0.138082 | − | 1.61716i | ||||
\(336\) | − | 25.1402i | − | 1.37151i | ||||||
\(337\) | 6.88571 | − | 6.88571i | 0.375088 | − | 0.375088i | −0.494238 | − | 0.869327i | \(-0.664553\pi\) |
0.869327 | + | 0.494238i | \(0.164553\pi\) | |||||||
\(338\) | 10.9041 | + | 10.9041i | 0.593107 | + | 0.593107i | ||||
\(339\) | − | 10.7445i | − | 0.583559i | ||||||
\(340\) | 0.0547883 | + | 0.641659i | 0.00297131 | + | 0.0347988i | ||||
\(341\) | 0 | 0 | ||||||||
\(342\) | −9.56405 | − | 9.56405i | −0.517165 | − | 0.517165i | ||||
\(343\) | −4.83453 | − | 4.83453i | −0.261040 | − | 0.261040i | ||||
\(344\) | − | 17.6017i | − | 0.949021i | ||||||
\(345\) | 22.3312 | − | 26.5008i | 1.20227 | − | 1.42675i | ||||
\(346\) | 5.68849 | 0.305815 | ||||||||
\(347\) | 17.2107 | − | 17.2107i | 0.923918 | − | 0.923918i | −0.0733858 | − | 0.997304i | \(-0.523380\pi\) |
0.997304 | + | 0.0733858i | \(0.0233804\pi\) | |||||||
\(348\) | −2.43464 | − | 2.43464i | −0.130510 | − | 0.130510i | ||||
\(349\) | 18.8297 | 1.00793 | 0.503966 | − | 0.863723i | \(-0.331874\pi\) | ||||
0.503966 | + | 0.863723i | \(0.331874\pi\) | |||||||
\(350\) | 21.1631 | − | 3.64057i | 1.13121 | − | 0.194597i | ||||
\(351\) | − | 0.889241i | − | 0.0474642i | ||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −5.39206 | + | 5.39206i | −0.286990 | + | 0.286990i | −0.835889 | − | 0.548899i | \(-0.815047\pi\) |
0.548899 | + | 0.835889i | \(0.315047\pi\) | |||||||
\(354\) | −23.3196 | −1.23942 | ||||||||
\(355\) | 6.18020 | + | 5.20783i | 0.328011 | + | 0.276403i | ||||
\(356\) | −6.85072 | −0.363087 | ||||||||
\(357\) | −3.85137 | − | 3.85137i | −0.203836 | − | 0.203836i | ||||
\(358\) | −2.40865 | − | 2.40865i | −0.127301 | − | 0.127301i | ||||
\(359\) | 15.3198 | 0.808548 | 0.404274 | − | 0.914638i | \(-0.367524\pi\) | ||||
0.404274 | + | 0.914638i | \(0.367524\pi\) | |||||||
\(360\) | −23.6312 | + | 2.01776i | −1.24548 | + | 0.106345i | ||||
\(361\) | −9.10669 | −0.479299 | ||||||||
\(362\) | 6.25911 | − | 6.25911i | 0.328971 | − | 0.328971i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 1.19679i | 0.0627289i | ||||||||
\(365\) | −0.102278 | − | 1.19784i | −0.00535350 | − | 0.0626980i | ||||
\(366\) | −11.8065 | −0.617135 | ||||||||
\(367\) | 1.62662 | + | 1.62662i | 0.0849086 | + | 0.0849086i | 0.748285 | − | 0.663377i | \(-0.230877\pi\) |
−0.663377 | + | 0.748285i | \(0.730877\pi\) | |||||||
\(368\) | −12.2729 | + | 12.2729i | −0.639770 | + | 0.639770i | ||||
\(369\) | −3.54317 | −0.184450 | ||||||||
\(370\) | −4.87171 | − | 4.10521i | −0.253268 | − | 0.213420i | ||||
\(371\) | 14.8936i | 0.773236i | ||||||||
\(372\) | −2.54774 | − | 2.54774i | −0.132094 | − | 0.132094i | ||||
\(373\) | −22.9215 | − | 22.9215i | −1.18683 | − | 1.18683i | −0.977939 | − | 0.208889i | \(-0.933015\pi\) |
−0.208889 | − | 0.977939i | \(-0.566985\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −7.18969 | − | 27.5206i | −0.371274 | − | 1.42116i | ||||
\(376\) | − | 3.31507i | − | 0.170962i | ||||||
\(377\) | −1.51697 | − | 1.51697i | −0.0781280 | − | 0.0781280i | ||||
\(378\) | 3.65132 | − | 3.65132i | 0.187804 | − | 0.187804i | ||||
\(379\) | 11.3349i | 0.582237i | 0.956687 | + | 0.291119i | \(0.0940274\pi\) | ||||
−0.956687 | + | 0.291119i | \(0.905973\pi\) | |||||||
\(380\) | 2.11454 | − | 2.50935i | 0.108474 | − | 0.128727i | ||||
\(381\) | − | 33.0356i | − | 1.69246i | ||||||
\(382\) | 3.05063 | − | 3.05063i | 0.156084 | − | 0.156084i | ||||
\(383\) | 0.997367 | − | 0.997367i | 0.0509631 | − | 0.0509631i | −0.681166 | − | 0.732129i | \(-0.738527\pi\) |
0.732129 | + | 0.681166i | \(0.238527\pi\) | |||||||
\(384\) | 14.8892 | 0.759810 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 13.4524 | 0.684708 | ||||||||
\(387\) | 14.1504 | − | 14.1504i | 0.719304 | − | 0.719304i | ||||
\(388\) | 4.73455 | − | 4.73455i | 0.240360 | − | 0.240360i | ||||
\(389\) | 30.8491i | 1.56411i | 0.623210 | + | 0.782055i | \(0.285828\pi\) | ||||
−0.623210 | + | 0.782055i | \(0.714172\pi\) | |||||||
\(390\) | −5.19128 | + | 0.443260i | −0.262871 | + | 0.0224453i | ||||
\(391\) | 3.76033i | 0.190168i | ||||||||
\(392\) | −10.8608 | + | 10.8608i | −0.548555 | + | 0.548555i | ||||
\(393\) | −31.0074 | − | 31.0074i | −1.56412 | − | 1.56412i | ||||
\(394\) | 19.9167i | 1.00339i | ||||||||
\(395\) | −20.8729 | − | 17.5888i | −1.05023 | − | 0.884991i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 6.24852 | + | 6.24852i | 0.313604 | + | 0.313604i | 0.846304 | − | 0.532700i | \(-0.178823\pi\) |
−0.532700 | + | 0.846304i | \(0.678823\pi\) | |||||||
\(398\) | 24.2967 | + | 24.2967i | 1.21788 | + | 1.21788i | ||||
\(399\) | 27.7536i | 1.38942i | ||||||||
\(400\) | 2.41518 | + | 14.0397i | 0.120759 | + | 0.701984i | ||||
\(401\) | −13.4244 | −0.670381 | −0.335191 | − | 0.942150i | \(-0.608801\pi\) | ||||
−0.335191 | + | 0.942150i | \(0.608801\pi\) | |||||||
\(402\) | −29.5955 | + | 29.5955i | −1.47609 | + | 1.47609i | ||||
\(403\) | −1.58744 | − | 1.58744i | −0.0790761 | − | 0.0790761i | ||||
\(404\) | −3.76350 | −0.187241 | ||||||||
\(405\) | 12.5831 | + | 10.6033i | 0.625261 | + | 0.526884i | ||||
\(406\) | − | 12.4577i | − | 0.618266i | ||||||
\(407\) | 0 | 0 | ||||||||
\(408\) | 3.39181 | − | 3.39181i | 0.167920 | − | 0.167920i | ||||
\(409\) | −1.24681 | −0.0616506 | −0.0308253 | − | 0.999525i | \(-0.509814\pi\) | ||||
−0.0308253 | + | 0.999525i | \(0.509814\pi\) | |||||||
\(410\) | 0.240360 | + | 2.81500i | 0.0118705 | + | 0.139023i | ||||
\(411\) | −14.6332 | −0.721801 | ||||||||
\(412\) | 1.18168 | + | 1.18168i | 0.0582171 | + | 0.0582171i | ||||
\(413\) | 18.1528 | + | 18.1528i | 0.893240 | + | 0.893240i | ||||
\(414\) | −26.1956 | −1.28744 | ||||||||
\(415\) | 3.04915 | + | 35.7104i | 0.149677 | + | 1.75296i | ||||
\(416\) | −1.90860 | −0.0935770 | ||||||||
\(417\) | 23.0555 | − | 23.0555i | 1.12903 | − | 1.12903i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 20.5995i | 1.00635i | 0.864185 | + | 0.503175i | \(0.167835\pi\) | ||||
−0.864185 | + | 0.503175i | \(0.832165\pi\) | |||||||
\(420\) | 7.03944 | + | 5.93188i | 0.343490 | + | 0.289446i | ||||
\(421\) | −7.93418 | −0.386688 | −0.193344 | − | 0.981131i | \(-0.561933\pi\) | ||||
−0.193344 | + | 0.981131i | \(0.561933\pi\) | |||||||
\(422\) | −18.0207 | − | 18.0207i | −0.877234 | − | 0.877234i | ||||
\(423\) | 2.66506 | − | 2.66506i | 0.129580 | − | 0.129580i | ||||
\(424\) | −13.1164 | −0.636990 | ||||||||
\(425\) | 2.52082 | + | 1.78083i | 0.122278 | + | 0.0863829i | ||||
\(426\) | − | 11.3867i | − | 0.551687i | ||||||
\(427\) | 9.19058 | + | 9.19058i | 0.444764 | + | 0.444764i | ||||
\(428\) | −2.17627 | − | 2.17627i | −0.105194 | − | 0.105194i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −12.2022 | − | 10.2824i | −0.588443 | − | 0.495859i | ||||
\(431\) | − | 29.8124i | − | 1.43601i | −0.696037 | − | 0.718006i | \(-0.745055\pi\) | ||
0.696037 | − | 0.718006i | \(-0.254945\pi\) | |||||||
\(432\) | 2.42231 | + | 2.42231i | 0.116543 | + | 0.116543i | ||||
\(433\) | −7.26887 | + | 7.26887i | −0.349320 | + | 0.349320i | −0.859856 | − | 0.510536i | \(-0.829447\pi\) |
0.510536 | + | 0.859856i | \(0.329447\pi\) | |||||||
\(434\) | − | 13.0364i | − | 0.625768i | ||||||
\(435\) | −16.4416 | + | 1.40387i | −0.788313 | + | 0.0673105i | ||||
\(436\) | − | 3.36675i | − | 0.161238i | ||||||
\(437\) | 13.5487 | − | 13.5487i | 0.648124 | − | 0.648124i | ||||
\(438\) | −1.19770 | + | 1.19770i | −0.0572285 | + | 0.0572285i | ||||
\(439\) | 30.3973 | 1.45078 | 0.725392 | − | 0.688336i | \(-0.241659\pi\) | ||||
0.725392 | + | 0.688336i | \(0.241659\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −17.4625 | −0.831548 | ||||||||
\(442\) | 0.399757 | − | 0.399757i | 0.0190145 | − | 0.0190145i | ||||
\(443\) | −7.94308 | + | 7.94308i | −0.377387 | + | 0.377387i | −0.870159 | − | 0.492771i | \(-0.835984\pi\) |
0.492771 | + | 0.870159i | \(0.335984\pi\) | |||||||
\(444\) | − | 2.73103i | − | 0.129609i | ||||||
\(445\) | −21.1569 | + | 25.1072i | −1.00293 | + | 1.19020i | ||||
\(446\) | − | 9.92236i | − | 0.469837i | ||||||
\(447\) | 34.5019 | − | 34.5019i | 1.63188 | − | 1.63188i | ||||
\(448\) | −21.8117 | − | 21.8117i | −1.03051 | − | 1.03051i | ||||
\(449\) | 19.5401i | 0.922154i | 0.887360 | + | 0.461077i | \(0.152537\pi\) | ||||
−0.887360 | + | 0.461077i | \(0.847463\pi\) | |||||||
\(450\) | −12.4058 | + | 17.5608i | −0.584816 | + | 0.827826i | ||||
\(451\) | 0 | 0 | ||||||||
\(452\) | −1.39330 | − | 1.39330i | −0.0655353 | − | 0.0655353i | ||||
\(453\) | 34.0414 | + | 34.0414i | 1.59940 | + | 1.59940i | ||||
\(454\) | 3.83734i | 0.180095i | ||||||||
\(455\) | 4.38612 | + | 3.69602i | 0.205625 | + | 0.173272i | ||||
\(456\) | −24.4419 | −1.14460 | ||||||||
\(457\) | −8.32471 | + | 8.32471i | −0.389413 | + | 0.389413i | −0.874478 | − | 0.485065i | \(-0.838796\pi\) |
0.485065 | + | 0.874478i | \(0.338796\pi\) | |||||||
\(458\) | −12.8899 | − | 12.8899i | −0.602306 | − | 0.602306i | ||||
\(459\) | 0.742176 | 0.0346418 | ||||||||
\(460\) | −0.540689 | − | 6.33234i | −0.0252098 | − | 0.295247i | ||||
\(461\) | 26.5631i | 1.23717i | 0.785719 | + | 0.618583i | \(0.212293\pi\) | ||||
−0.785719 | + | 0.618583i | \(0.787707\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −14.4258 | + | 14.4258i | −0.670424 | + | 0.670424i | −0.957814 | − | 0.287390i | \(-0.907213\pi\) |
0.287390 | + | 0.957814i | \(0.407213\pi\) | |||||||
\(464\) | 8.26451 | 0.383670 | ||||||||
\(465\) | −17.2054 | + | 1.46909i | −0.797880 | + | 0.0681273i | ||||
\(466\) | 17.2688 | 0.799961 | ||||||||
\(467\) | −13.2072 | − | 13.2072i | −0.611157 | − | 0.611157i | 0.332091 | − | 0.943247i | \(-0.392246\pi\) |
−0.943247 | + | 0.332091i | \(0.892246\pi\) | |||||||
\(468\) | −0.847321 | − | 0.847321i | −0.0391674 | − | 0.0391674i | ||||
\(469\) | 46.0763 | 2.12760 | ||||||||
\(470\) | −2.29814 | − | 1.93656i | −0.106005 | − | 0.0893269i | ||||
\(471\) | 31.2461 | 1.43974 | ||||||||
\(472\) | −15.9867 | + | 15.9867i | −0.735849 | + | 0.735849i | ||||
\(473\) | 0 | 0 | ||||||||
\(474\) | 38.4572i | 1.76640i | ||||||||
\(475\) | −2.66624 | − | 15.4992i | −0.122336 | − | 0.711150i | ||||
\(476\) | −0.998862 | −0.0457828 | ||||||||
\(477\) | −10.5446 | − | 10.5446i | −0.482803 | − | 0.482803i | ||||
\(478\) | 2.81763 | − | 2.81763i | 0.128875 | − | 0.128875i | ||||
\(479\) | 7.29149 | 0.333156 | 0.166578 | − | 0.986028i | \(-0.446728\pi\) | ||||
0.166578 | + | 0.986028i | \(0.446728\pi\) | |||||||
\(480\) | −9.45998 | + | 11.2263i | −0.431787 | + | 0.512407i | ||||
\(481\) | − | 1.70164i | − | 0.0775882i | ||||||
\(482\) | −13.1990 | − | 13.1990i | −0.601197 | − | 0.601197i | ||||
\(483\) | 38.0080 | + | 38.0080i | 1.72943 | + | 1.72943i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −2.73005 | − | 31.9733i | −0.123965 | − | 1.45183i | ||||
\(486\) | − | 27.6504i | − | 1.25425i | ||||||
\(487\) | 19.3131 | + | 19.3131i | 0.875160 | + | 0.875160i | 0.993029 | − | 0.117869i | \(-0.0376064\pi\) |
−0.117869 | + | 0.993029i | \(0.537606\pi\) | |||||||
\(488\) | −8.09393 | + | 8.09393i | −0.366395 | + | 0.366395i | ||||
\(489\) | 24.6789i | 1.11602i | ||||||||
\(490\) | 1.18461 | + | 13.8737i | 0.0535154 | + | 0.626751i | ||||
\(491\) | 15.3875i | 0.694429i | 0.937786 | + | 0.347215i | \(0.112872\pi\) | ||||
−0.937786 | + | 0.347215i | \(0.887128\pi\) | |||||||
\(492\) | −0.856400 | + | 0.856400i | −0.0386095 | + | 0.0386095i | ||||
\(493\) | 1.26609 | − | 1.26609i | 0.0570218 | − | 0.0570218i | ||||
\(494\) | −2.88070 | −0.129609 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 8.64843 | 0.388326 | ||||||||
\(497\) | −8.86379 | + | 8.86379i | −0.397595 | + | 0.397595i | ||||
\(498\) | 35.7062 | − | 35.7062i | 1.60003 | − | 1.60003i | ||||
\(499\) | 2.29281i | 0.102640i | 0.998682 | + | 0.0513202i | \(0.0163429\pi\) | ||||
−0.998682 | + | 0.0513202i | \(0.983657\pi\) | |||||||
\(500\) | −4.50109 | − | 2.63643i | −0.201295 | − | 0.117905i | ||||
\(501\) | 28.8489i | 1.28887i | ||||||||
\(502\) | 1.75419 | − | 1.75419i | 0.0782934 | − | 0.0782934i | ||||
\(503\) | −18.5255 | − | 18.5255i | −0.826010 | − | 0.826010i | 0.160952 | − | 0.986962i | \(-0.448544\pi\) |
−0.986962 | + | 0.160952i | \(0.948544\pi\) | |||||||
\(504\) | − | 36.7864i | − | 1.63860i | ||||||
\(505\) | −11.6227 | + | 13.7929i | −0.517205 | + | 0.613774i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 22.4026 | + | 22.4026i | 0.994933 | + | 0.994933i | ||||
\(508\) | −4.28392 | − | 4.28392i | −0.190068 | − | 0.190068i | ||||
\(509\) | 29.3086i | 1.29908i | 0.760328 | + | 0.649540i | \(0.225038\pi\) | ||||
−0.760328 | + | 0.649540i | \(0.774962\pi\) | |||||||
\(510\) | −0.369952 | − | 4.33273i | −0.0163818 | − | 0.191857i | ||||
\(511\) | 1.86467 | 0.0824881 | ||||||||
\(512\) | 17.5063 | − | 17.5063i | 0.773676 | − | 0.773676i | ||||
\(513\) | −2.67411 | − | 2.67411i | −0.118065 | − | 0.118065i | ||||
\(514\) | −4.71858 | −0.208127 | ||||||||
\(515\) | 7.98009 | − | 0.681383i | 0.351645 | − | 0.0300253i | ||||
\(516\) | − | 6.84042i | − | 0.301133i | ||||||
\(517\) | 0 | 0 | ||||||||
\(518\) | 6.98713 | − | 6.98713i | 0.306997 | − | 0.306997i | ||||
\(519\) | 11.6870 | 0.513003 | ||||||||
\(520\) | −3.25500 | + | 3.86276i | −0.142741 | + | 0.169393i | ||||
\(521\) | 44.4124 | 1.94574 | 0.972871 | − | 0.231350i | \(-0.0743142\pi\) | ||||
0.972871 | + | 0.231350i | \(0.0743142\pi\) | |||||||
\(522\) | 8.81999 | + | 8.81999i | 0.386040 | + | 0.386040i | ||||
\(523\) | 18.8686 | + | 18.8686i | 0.825066 | + | 0.825066i | 0.986830 | − | 0.161764i | \(-0.0517182\pi\) |
−0.161764 | + | 0.986830i | \(0.551718\pi\) | |||||||
\(524\) | −8.04184 | −0.351309 | ||||||||
\(525\) | 43.4796 | − | 7.47957i | 1.89760 | − | 0.326435i | ||||
\(526\) | 0.216299 | 0.00943110 | ||||||||
\(527\) | 1.32491 | − | 1.32491i | 0.0577138 | − | 0.0577138i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | − | 14.1095i | − | 0.613457i | ||||||
\(530\) | −7.66220 | + | 9.09283i | −0.332825 | + | 0.394967i | ||||
\(531\) | −25.7041 | −1.11546 | ||||||||
\(532\) | 3.59897 | + | 3.59897i | 0.156035 | + | 0.156035i | ||||
\(533\) | −0.533604 | + | 0.533604i | −0.0231130 | + | 0.0231130i | ||||
\(534\) | 46.2587 | 2.00181 | ||||||||
\(535\) | −14.6968 | + | 1.25489i | −0.635398 | + | 0.0542537i | ||||
\(536\) | 40.5783i | 1.75272i | ||||||||
\(537\) | −4.94858 | − | 4.94858i | −0.213547 | − | 0.213547i | ||||
\(538\) | 6.06393 | + | 6.06393i | 0.261435 | + | 0.261435i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −1.24982 | + | 0.106716i | −0.0537835 | + | 0.00459232i | ||||
\(541\) | 40.3603i | 1.73522i | 0.497242 | + | 0.867612i | \(0.334346\pi\) | ||||
−0.497242 | + | 0.867612i | \(0.665654\pi\) | |||||||
\(542\) | −20.0176 | − | 20.0176i | −0.859831 | − | 0.859831i | ||||
\(543\) | 12.8594 | − | 12.8594i | 0.551848 | − | 0.551848i | ||||
\(544\) | − | 1.59295i | − | 0.0682973i | ||||||
\(545\) | −12.3388 | − | 10.3975i | −0.528537 | − | 0.445379i | ||||
\(546\) | − | 8.08120i | − | 0.345843i | ||||||
\(547\) | −25.8603 | + | 25.8603i | −1.10571 | + | 1.10571i | −0.111997 | + | 0.993708i | \(0.535725\pi\) |
−0.993708 | + | 0.111997i | \(0.964275\pi\) | |||||||
\(548\) | −1.89757 | + | 1.89757i | −0.0810603 | + | 0.0810603i | ||||
\(549\) | −13.0138 | −0.555414 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −9.12363 | −0.388680 | ||||||||
\(552\) | −33.4728 | + | 33.4728i | −1.42470 | + | 1.42470i | ||||
\(553\) | 29.9365 | − | 29.9365i | 1.27303 | − | 1.27303i | ||||
\(554\) | − | 4.58962i | − | 0.194994i | ||||||
\(555\) | −10.0089 | − | 8.43417i | −0.424856 | − | 0.358011i | ||||
\(556\) | − | 5.97948i | − | 0.253587i | ||||||
\(557\) | −22.9841 | + | 22.9841i | −0.973868 | + | 0.973868i | −0.999667 | − | 0.0257991i | \(-0.991787\pi\) |
0.0257991 | + | 0.999667i | \(0.491787\pi\) | |||||||
\(558\) | 9.22971 | + | 9.22971i | 0.390725 | + | 0.390725i | ||||
\(559\) | − | 4.26211i | − | 0.180268i | ||||||
\(560\) | −22.0159 | + | 1.87984i | −0.930342 | + | 0.0794376i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −2.81320 | − | 2.81320i | −0.118667 | − | 0.118667i | ||||
\(563\) | 2.03761 | + | 2.03761i | 0.0858750 | + | 0.0858750i | 0.748739 | − | 0.662864i | \(-0.230659\pi\) |
−0.662864 | + | 0.748739i | \(0.730659\pi\) | |||||||
\(564\) | − | 1.28831i | − | 0.0542477i | ||||||
\(565\) | −9.40921 | + | 0.803409i | −0.395848 | + | 0.0337997i | ||||
\(566\) | −26.1964 | −1.10112 | ||||||||
\(567\) | −18.0470 | + | 18.0470i | −0.757904 | + | 0.757904i | ||||
\(568\) | −7.80614 | − | 7.80614i | −0.327538 | − | 0.327538i | ||||
\(569\) | −0.187724 | −0.00786979 | −0.00393490 | − | 0.999992i | \(-0.501253\pi\) | ||||
−0.00393490 | + | 0.999992i | \(0.501253\pi\) | |||||||
\(570\) | −14.2782 | + | 16.9441i | −0.598047 | + | 0.709711i | ||||
\(571\) | − | 46.3235i | − | 1.93858i | −0.245922 | − | 0.969290i | \(-0.579091\pi\) | ||
0.245922 | − | 0.969290i | \(-0.420909\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 6.26752 | − | 6.26752i | 0.261829 | − | 0.261829i | ||||
\(574\) | −4.38208 | −0.182904 | ||||||||
\(575\) | −24.8772 | − | 17.5745i | −1.03745 | − | 0.732906i | ||||
\(576\) | 30.8851 | 1.28688 | ||||||||
\(577\) | −13.1616 | − | 13.1616i | −0.547924 | − | 0.547924i | 0.377916 | − | 0.925840i | \(-0.376641\pi\) |
−0.925840 | + | 0.377916i | \(0.876641\pi\) | |||||||
\(578\) | −14.5520 | − | 14.5520i | −0.605282 | − | 0.605282i | ||||
\(579\) | 27.6379 | 1.14859 | ||||||||
\(580\) | −1.95003 | + | 2.31413i | −0.0809706 | + | 0.0960889i | ||||
\(581\) | −55.5899 | −2.30626 | ||||||||
\(582\) | −31.9695 | + | 31.9695i | −1.32518 | + | 1.32518i | ||||
\(583\) | 0 | 0 | ||||||||
\(584\) | 1.64217i | 0.0679535i | ||||||||
\(585\) | −5.72212 | + | 0.488585i | −0.236580 | + | 0.0202005i | ||||
\(586\) | −35.5309 | −1.46777 | ||||||||
\(587\) | 16.8305 | + | 16.8305i | 0.694668 | + | 0.694668i | 0.963255 | − | 0.268588i | \(-0.0865569\pi\) |
−0.268588 | + | 0.963255i | \(0.586557\pi\) | |||||||
\(588\) | −4.22076 | + | 4.22076i | −0.174061 | + | 0.174061i | ||||
\(589\) | −9.54746 | −0.393396 | ||||||||
\(590\) | 1.74371 | + | 20.4216i | 0.0717872 | + | 0.840743i | ||||
\(591\) | 40.9190i | 1.68318i | ||||||||
\(592\) | 4.63530 | + | 4.63530i | 0.190510 | + | 0.190510i | ||||
\(593\) | 24.6819 | + | 24.6819i | 1.01356 | + | 1.01356i | 0.999907 | + | 0.0136582i | \(0.00434768\pi\) |
0.0136582 | + | 0.999907i | \(0.495652\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −3.08477 | + | 3.66073i | −0.126463 | + | 0.150075i | ||||
\(596\) | − | 8.94814i | − | 0.366530i | ||||||
\(597\) | 49.9177 | + | 49.9177i | 2.04299 | + | 2.04299i | ||||
\(598\) | −3.94508 | + | 3.94508i | −0.161326 | + | 0.161326i | ||||
\(599\) | − | 12.0773i | − | 0.493466i | −0.969083 | − | 0.246733i | \(-0.920643\pi\) | ||
0.969083 | − | 0.246733i | \(-0.0793571\pi\) | |||||||
\(600\) | 6.58708 | + | 38.2914i | 0.268917 | + | 1.56324i | ||||
\(601\) | − | 17.2248i | − | 0.702614i | −0.936260 | − | 0.351307i | \(-0.885737\pi\) | ||
0.936260 | − | 0.351307i | \(-0.114263\pi\) | |||||||
\(602\) | 17.5007 | − | 17.5007i | 0.713276 | − | 0.713276i | ||||
\(603\) | −32.6217 | + | 32.6217i | −1.32846 | + | 1.32846i | ||||
\(604\) | 8.82871 | 0.359235 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 25.4126 | 1.03232 | ||||||||
\(607\) | −6.01582 | + | 6.01582i | −0.244174 | + | 0.244174i | −0.818575 | − | 0.574400i | \(-0.805235\pi\) |
0.574400 | + | 0.818575i | \(0.305235\pi\) | |||||||
\(608\) | −5.73953 | + | 5.73953i | −0.232769 | + | 0.232769i | ||||
\(609\) | − | 25.5944i | − | 1.03714i | ||||||
\(610\) | 0.882822 | + | 10.3393i | 0.0357444 | + | 0.418624i | ||||
\(611\) | − | 0.802719i | − | 0.0324745i | ||||||
\(612\) | 0.707189 | − | 0.707189i | 0.0285864 | − | 0.0285864i | ||||
\(613\) | 22.9792 | + | 22.9792i | 0.928122 | + | 0.928122i | 0.997585 | − | 0.0694627i | \(-0.0221285\pi\) |
−0.0694627 | + | 0.997585i | \(0.522128\pi\) | |||||||
\(614\) | − | 23.0687i | − | 0.930978i | ||||||
\(615\) | 0.493820 | + | 5.78343i | 0.0199128 | + | 0.233210i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −22.2515 | − | 22.2515i | −0.895812 | − | 0.895812i | 0.0992505 | − | 0.995062i | \(-0.468355\pi\) |
−0.995062 | + | 0.0992505i | \(0.968355\pi\) | |||||||
\(618\) | −7.97915 | − | 7.97915i | −0.320969 | − | 0.320969i | ||||
\(619\) | − | 27.9293i | − | 1.12257i | −0.827622 | − | 0.561286i | \(-0.810307\pi\) | ||
0.827622 | − | 0.561286i | \(-0.189693\pi\) | |||||||
\(620\) | −2.04062 | + | 2.42163i | −0.0819532 | + | 0.0972550i | ||||
\(621\) | −7.32431 | −0.293915 | ||||||||
\(622\) | 14.9158 | − | 14.9158i | 0.598070 | − | 0.598070i | ||||
\(623\) | −36.0094 | − | 36.0094i | −1.44269 | − | 1.44269i | ||||
\(624\) | 5.36111 | 0.214616 | ||||||||
\(625\) | −23.5629 | + | 8.35403i | −0.942516 | + | 0.334161i | ||||
\(626\) | 19.5389i | 0.780932i | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 4.05187 | − | 4.05187i | 0.161687 | − | 0.161687i | ||||
\(629\) | 1.42022 | 0.0566279 | ||||||||
\(630\) | −25.5018 | − | 21.4895i | −1.01602 | − | 0.856161i | ||||
\(631\) | −28.9523 | −1.15257 | −0.576286 | − | 0.817248i | \(-0.695499\pi\) | ||||
−0.576286 | + | 0.817248i | \(0.695499\pi\) | |||||||
\(632\) | 26.3643 | + | 26.3643i | 1.04872 | + | 1.04872i | ||||
\(633\) | −37.0236 | − | 37.0236i | −1.47156 | − | 1.47156i | ||||
\(634\) | 8.21842 | 0.326395 | ||||||||
\(635\) | −28.9301 | + | 2.47021i | −1.14806 | + | 0.0980273i | ||||
\(636\) | −5.09734 | −0.202123 | ||||||||
\(637\) | −2.62986 | + | 2.62986i | −0.104199 | + | 0.104199i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | − | 12.5510i | − | 0.496511i | ||||||
\(640\) | −1.11333 | − | 13.0388i | −0.0440081 | − | 0.515406i | ||||
\(641\) | 42.4055 | 1.67492 | 0.837458 | − | 0.546501i | \(-0.184041\pi\) | ||||
0.837458 | + | 0.546501i | \(0.184041\pi\) | |||||||
\(642\) | 14.6951 | + | 14.6951i | 0.579968 | + | 0.579968i | ||||
\(643\) | −2.13347 | + | 2.13347i | −0.0841358 | + | 0.0841358i | −0.747922 | − | 0.663786i | \(-0.768948\pi\) |
0.663786 | + | 0.747922i | \(0.268948\pi\) | |||||||
\(644\) | 9.85747 | 0.388439 | ||||||||
\(645\) | −25.0695 | − | 21.1251i | −0.987109 | − | 0.831801i | ||||
\(646\) | − | 2.40429i | − | 0.0945953i | ||||||
\(647\) | −5.86042 | − | 5.86042i | −0.230397 | − | 0.230397i | 0.582461 | − | 0.812858i | \(-0.302090\pi\) |
−0.812858 | + | 0.582461i | \(0.802090\pi\) | |||||||
\(648\) | −15.8936 | − | 15.8936i | −0.624360 | − | 0.624360i | ||||
\(649\) | 0 | 0 | ||||||||
\(650\) | 0.776348 | + | 4.51300i | 0.0304509 | + | 0.177014i | ||||
\(651\) | − | 26.7834i | − | 1.04972i | ||||||
\(652\) | 3.20026 | + | 3.20026i | 0.125332 | + | 0.125332i | ||||
\(653\) | −9.42292 | + | 9.42292i | −0.368748 | + | 0.368748i | −0.867020 | − | 0.498273i | \(-0.833968\pi\) |
0.498273 | + | 0.867020i | \(0.333968\pi\) | |||||||
\(654\) | 22.7336i | 0.888955i | ||||||||
\(655\) | −24.8355 | + | 29.4726i | −0.970402 | + | 1.15159i | ||||
\(656\) | − | 2.90709i | − | 0.113503i | ||||||
\(657\) | −1.32017 | + | 1.32017i | −0.0515049 | + | 0.0515049i | ||||
\(658\) | 3.29605 | − | 3.29605i | 0.128494 | − | 0.128494i | ||||
\(659\) | 12.1943 | 0.475023 | 0.237511 | − | 0.971385i | \(-0.423668\pi\) | ||||
0.237511 | + | 0.971385i | \(0.423668\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 14.1589 | 0.550718 | 0.275359 | − | 0.961341i | \(-0.411203\pi\) | ||||
0.275359 | + | 0.961341i | \(0.411203\pi\) | |||||||
\(662\) | −10.5753 | + | 10.5753i | −0.411020 | + | 0.411020i | ||||
\(663\) | 0.821301 | − | 0.821301i | 0.0318967 | − | 0.0318967i | ||||
\(664\) | − | 48.9568i | − | 1.89989i | ||||||
\(665\) | 24.3045 | − | 2.07525i | 0.942489 | − | 0.0804748i | ||||
\(666\) | 9.89370i | 0.383373i | ||||||||
\(667\) | −12.4947 | + | 12.4947i | −0.483795 | + | 0.483795i | ||||
\(668\) | 3.74101 | + | 3.74101i | 0.144744 | + | 0.144744i | ||||
\(669\) | − | 20.3855i | − | 0.788150i | ||||||
\(670\) | 28.1305 | + | 23.7046i | 1.08678 | + | 0.915787i | ||||
\(671\) | 0 | 0 | ||||||||
\(672\) | −16.1010 | − | 16.1010i | −0.621110 | − | 0.621110i | ||||
\(673\) | 16.4075 | + | 16.4075i | 0.632464 | + | 0.632464i | 0.948686 | − | 0.316221i | \(-0.102414\pi\) |
−0.316221 | + | 0.948686i | \(0.602414\pi\) | |||||||
\(674\) | 12.0586i | 0.464479i | ||||||||
\(675\) | −3.46868 | + | 4.91002i | −0.133509 | + | 0.188987i | ||||
\(676\) | 5.81016 | 0.223468 | ||||||||
\(677\) | 24.9484 | − | 24.9484i | 0.958846 | − | 0.958846i | −0.0403400 | − | 0.999186i | \(-0.512844\pi\) |
0.999186 | + | 0.0403400i | \(0.0128441\pi\) | |||||||
\(678\) | 9.40810 | + | 9.40810i | 0.361316 | + | 0.361316i | ||||
\(679\) | 49.7724 | 1.91009 | ||||||||
\(680\) | −3.22392 | − | 2.71668i | −0.123632 | − | 0.104180i | ||||
\(681\) | 7.88382i | 0.302109i | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −7.64701 | + | 7.64701i | −0.292605 | + | 0.292605i | −0.838108 | − | 0.545504i | \(-0.816338\pi\) |
0.545504 | + | 0.838108i | \(0.316338\pi\) | |||||||
\(684\) | −5.09611 | −0.194854 | ||||||||
\(685\) | 1.09418 | + | 12.8147i | 0.0418067 | + | 0.489623i | ||||
\(686\) | 8.46645 | 0.323250 | ||||||||
\(687\) | −26.4824 | − | 26.4824i | −1.01036 | − | 1.01036i | ||||
\(688\) | 11.6101 | + | 11.6101i | 0.442630 | + | 0.442630i | ||||
\(689\) | −3.17604 | −0.120997 | ||||||||
\(690\) | 3.65095 | + | 42.7584i | 0.138989 | + | 1.62779i | ||||
\(691\) | 29.5095 | 1.12260 | 0.561298 | − | 0.827614i | \(-0.310302\pi\) | ||||
0.561298 | + | 0.827614i | \(0.310302\pi\) | |||||||
\(692\) | 1.51553 | − | 1.51553i | 0.0576117 | − | 0.0576117i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 30.1402i | 1.14410i | ||||||||
\(695\) | −21.9142 | − | 18.4663i | −0.831254 | − | 0.700467i | ||||
\(696\) | 22.5404 | 0.854391 | ||||||||
\(697\) | −0.445355 | − | 0.445355i | −0.0168690 | − | 0.0168690i | ||||
\(698\) | −16.4878 | + | 16.4878i | −0.624071 | + | 0.624071i | ||||
\(699\) | 35.4788 | 1.34193 | ||||||||
\(700\) | 4.66834 | − | 6.60818i | 0.176447 | − | 0.249766i | ||||
\(701\) | 7.38130i | 0.278788i | 0.990237 | + | 0.139394i | \(0.0445154\pi\) | ||||
−0.990237 | + | 0.139394i | \(0.955485\pi\) | |||||||
\(702\) | 0.778641 | + | 0.778641i | 0.0293879 | + | 0.0293879i | ||||
\(703\) | −5.11715 | − | 5.11715i | −0.192997 | − | 0.192997i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −4.72154 | − | 3.97867i | −0.177823 | − | 0.149845i | ||||
\(706\) | − | 9.44282i | − | 0.355385i | ||||||
\(707\) | −19.7820 | − | 19.7820i | −0.743980 | − | 0.743980i | ||||
\(708\) | −6.21280 | + | 6.21280i | −0.233491 | + | 0.233491i | ||||
\(709\) | − | 49.2307i | − | 1.84890i | −0.381305 | − | 0.924449i | \(-0.624525\pi\) | ||
0.381305 | − | 0.924449i | \(-0.375475\pi\) | |||||||
\(710\) | −9.97162 | + | 0.851431i | −0.374228 | + | 0.0319536i | ||||
\(711\) | 42.3897i | 1.58974i | ||||||||
\(712\) | 31.7126 | − | 31.7126i | 1.18848 | − | 1.18848i | ||||
\(713\) | −13.0751 | + | 13.0751i | −0.489666 | + | 0.489666i | ||||
\(714\) | 6.74471 | 0.252414 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −1.28342 | −0.0479638 | ||||||||
\(717\) | 5.78883 | − | 5.78883i | 0.216188 | − | 0.216188i | ||||
\(718\) | −13.4144 | + | 13.4144i | −0.500620 | + | 0.500620i | ||||
\(719\) | 5.81342i | 0.216804i | 0.994107 | + | 0.108402i | \(0.0345734\pi\) | ||||
−0.994107 | + | 0.108402i | \(0.965427\pi\) | |||||||
\(720\) | 14.2562 | − | 16.9180i | 0.531298 | − | 0.630498i | ||||
\(721\) | 12.4225i | 0.462638i | ||||||||
\(722\) | 7.97403 | − | 7.97403i | 0.296763 | − | 0.296763i | ||||
\(723\) | −27.1173 | − | 27.1173i | −1.00850 | − | 1.00850i | ||||
\(724\) | − | 3.33510i | − | 0.123948i | ||||||
\(725\) | 2.45881 | + | 14.2934i | 0.0913181 | + | 0.530842i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 20.3755 | + | 20.3755i | 0.755685 | + | 0.755685i | 0.975534 | − | 0.219849i | \(-0.0705565\pi\) |
−0.219849 | + | 0.975534i | \(0.570556\pi\) | |||||||
\(728\) | −5.54006 | − | 5.54006i | −0.205328 | − | 0.205328i | ||||
\(729\) | − | 34.7311i | − | 1.28634i | ||||||
\(730\) | 1.13842 | + | 0.959303i | 0.0421347 | + | 0.0355054i | ||||
\(731\) | 3.55723 | 0.131569 | ||||||||
\(732\) | −3.14548 | + | 3.14548i | −0.116260 | + | 0.116260i | ||||
\(733\) | 16.9833 | + | 16.9833i | 0.627294 | + | 0.627294i | 0.947386 | − | 0.320093i | \(-0.103714\pi\) |
−0.320093 | + | 0.947386i | \(0.603714\pi\) | |||||||
\(734\) | −2.84860 | −0.105144 | ||||||||
\(735\) | 2.43379 | + | 28.5036i | 0.0897717 | + | 1.05137i | ||||
\(736\) | 15.7204i | 0.579461i | ||||||||
\(737\) | 0 | 0 | ||||||||
\(738\) | 3.10248 | − | 3.10248i | 0.114204 | − | 0.114204i | ||||
\(739\) | 20.5041 | 0.754255 | 0.377127 | − | 0.926161i | \(-0.376912\pi\) | ||||
0.377127 | + | 0.926161i | \(0.376912\pi\) | |||||||
\(740\) | −2.39163 | + | 0.204210i | −0.0879181 | + | 0.00750692i | ||||
\(741\) | −5.91841 | −0.217418 | ||||||||
\(742\) | −13.0412 | − | 13.0412i | −0.478756 | − | 0.478756i | ||||
\(743\) | −1.96926 | − | 1.96926i | −0.0722452 | − | 0.0722452i | 0.670061 | − | 0.742306i | \(-0.266268\pi\) |
−0.742306 | + | 0.670061i | \(0.766268\pi\) | |||||||
\(744\) | 23.5875 | 0.864759 | ||||||||
\(745\) | −32.7941 | − | 27.6344i | −1.20148 | − | 1.01245i | ||||
\(746\) | 40.1411 | 1.46967 | ||||||||
\(747\) | 39.3574 | − | 39.3574i | 1.44001 | − | 1.44001i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | − | 22.8783i | − | 0.835955i | ||||||
\(750\) | 30.3931 | + | 17.8022i | 1.10980 | + | 0.650045i | ||||
\(751\) | −4.57705 | −0.167019 | −0.0835095 | − | 0.996507i | \(-0.526613\pi\) | ||||
−0.0835095 | + | 0.996507i | \(0.526613\pi\) | |||||||
\(752\) | 2.18662 | + | 2.18662i | 0.0797378 | + | 0.0797378i | ||||
\(753\) | 3.60399 | − | 3.60399i | 0.131337 | − | 0.131337i | ||||
\(754\) | 2.65659 | 0.0967473 | ||||||||
\(755\) | 27.2655 | − | 32.3564i | 0.992295 | − | 1.17757i | ||||
\(756\) | − | 1.94557i | − | 0.0707597i | ||||||
\(757\) | 17.6109 | + | 17.6109i | 0.640080 | + | 0.640080i | 0.950575 | − | 0.310495i | \(-0.100495\pi\) |
−0.310495 | + | 0.950575i | \(0.600495\pi\) | |||||||
\(758\) | −9.92515 | − | 9.92515i | −0.360498 | − | 0.360498i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 1.82763 | + | 21.4044i | 0.0662950 | + | 0.776420i | ||||
\(761\) | 34.7436i | 1.25946i | 0.776816 | + | 0.629728i | \(0.216834\pi\) | ||||
−0.776816 | + | 0.629728i | \(0.783166\pi\) | |||||||
\(762\) | 28.9267 | + | 28.9267i | 1.04790 | + | 1.04790i | ||||
\(763\) | 17.6966 | − | 17.6966i | 0.640662 | − | 0.640662i | ||||
\(764\) | − | 1.62549i | − | 0.0588083i | ||||||
\(765\) | −0.407782 | − | 4.77578i | −0.0147434 | − | 0.172669i | ||||
\(766\) | 1.74664i | 0.0631085i | ||||||||
\(767\) | −3.87106 | + | 3.87106i | −0.139776 | + | 0.139776i | ||||
\(768\) | 18.9626 | − | 18.9626i | 0.684256 | − | 0.684256i | ||||
\(769\) | −7.47240 | −0.269462 | −0.134731 | − | 0.990882i | \(-0.543017\pi\) | ||||
−0.134731 | + | 0.990882i | \(0.543017\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −9.69432 | −0.349133 | ||||||||
\(772\) | 3.58398 | − | 3.58398i | 0.128990 | − | 0.128990i | ||||
\(773\) | 22.5020 | − | 22.5020i | 0.809340 | − | 0.809340i | −0.175194 | − | 0.984534i | \(-0.556055\pi\) |
0.984534 | + | 0.175194i | \(0.0560554\pi\) | |||||||
\(774\) | 24.7808i | 0.890728i | ||||||||
\(775\) | 2.57304 | + | 14.9573i | 0.0924262 | + | 0.537284i | ||||
\(776\) | 43.8334i | 1.57353i | ||||||||
\(777\) | 14.3551 | − | 14.3551i | 0.514985 | − | 0.514985i | ||||
\(778\) | −27.0122 | − | 27.0122i | −0.968433 | − | 0.968433i | ||||
\(779\) | 3.20929i | 0.114985i | ||||||||
\(780\) | −1.26497 | + | 1.50115i | −0.0452931 | + | 0.0537499i | ||||
\(781\) | 0 | 0 | ||||||||
\(782\) | −3.29263 | − | 3.29263i | −0.117744 | − | 0.117744i | ||||
\(783\) | 2.46607 | + | 2.46607i | 0.0881303 | + | 0.0881303i | ||||
\(784\) | − | 14.3276i | − | 0.511699i | ||||||
\(785\) | −2.33640 | − | 27.3630i | −0.0833897 | − | 0.976628i | ||||
\(786\) | 54.3017 | 1.93688 | ||||||||
\(787\) | 9.01360 | − | 9.01360i | 0.321300 | − | 0.321300i | −0.527966 | − | 0.849266i | \(-0.677045\pi\) |
0.849266 | + | 0.527966i | \(0.177045\pi\) | |||||||
\(788\) | 5.30621 | + | 5.30621i | 0.189026 | + | 0.189026i | ||||
\(789\) | 0.444387 | 0.0158206 | ||||||||
\(790\) | 33.6780 | − | 2.87561i | 1.19821 | − | 0.102310i | ||||
\(791\) | − | 14.6472i | − | 0.520794i | ||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −1.95988 | + | 1.95988i | −0.0695974 | + | 0.0695974i | ||||
\(794\) | −10.9427 | −0.388342 | ||||||||
\(795\) | −15.7420 | + | 18.6812i | −0.558311 | + | 0.662556i | ||||
\(796\) | 12.9463 | 0.458868 | ||||||||
\(797\) | 18.6934 | + | 18.6934i | 0.662153 | + | 0.662153i | 0.955887 | − | 0.293734i | \(-0.0948980\pi\) |
−0.293734 | + | 0.955887i | \(0.594898\pi\) | |||||||
\(798\) | −24.3017 | − | 24.3017i | −0.860270 | − | 0.860270i | ||||
\(799\) | 0.669963 | 0.0237016 | ||||||||
\(800\) | 10.5385 | + | 7.44492i | 0.372593 | + | 0.263217i | ||||
\(801\) | 50.9889 | 1.80160 | ||||||||
\(802\) | 11.7547 | − | 11.7547i | 0.415073 | − | 0.415073i | ||||
\(803\) | 0 | 0 | ||||||||
\(804\) | 15.7696i | 0.556152i | ||||||||
\(805\) | 30.4426 | − | 36.1267i | 1.07296 | − | 1.27330i | ||||
\(806\) | 2.78000 | 0.0979214 | ||||||||
\(807\) | 12.4584 | + | 12.4584i | 0.438555 | + | 0.438555i | ||||
\(808\) | 17.4216 | − | 17.4216i | 0.612889 | − | 0.612889i | ||||
\(809\) | −31.6347 | −1.11222 | −0.556108 | − | 0.831110i | \(-0.687706\pi\) | ||||
−0.556108 | + | 0.831110i | \(0.687706\pi\) | |||||||
\(810\) | −20.3026 | + | 1.73355i | −0.713361 | + | 0.0609106i | ||||
\(811\) | − | 35.9183i | − | 1.26126i | −0.776082 | − | 0.630631i | \(-0.782796\pi\) | ||
0.776082 | − | 0.630631i | \(-0.217204\pi\) | |||||||
\(812\) | −3.31898 | − | 3.31898i | −0.116473 | − | 0.116473i | ||||
\(813\) | −41.1263 | − | 41.1263i | −1.44236 | − | 1.44236i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 21.6119 | − | 1.84534i | 0.757033 | − | 0.0646396i | ||||
\(816\) | 4.47447i | 0.156638i | ||||||||
\(817\) | −12.8170 | − | 12.8170i | −0.448409 | − | 0.448409i | ||||
\(818\) | 1.09173 | − | 1.09173i | 0.0381715 | − | 0.0381715i | ||||
\(819\) | − | 8.90754i | − | 0.311255i | ||||||
\(820\) | 0.814009 | + | 0.685936i | 0.0284264 | + | 0.0239539i | ||||
\(821\) | 26.0847i | 0.910364i | 0.890398 | + | 0.455182i | \(0.150426\pi\) | ||||
−0.890398 | + | 0.455182i | \(0.849574\pi\) | |||||||
\(822\) | 12.8132 | − | 12.8132i | 0.446910 | − | 0.446910i | ||||
\(823\) | −27.8172 | + | 27.8172i | −0.969645 | + | 0.969645i | −0.999553 | − | 0.0299076i | \(-0.990479\pi\) |
0.0299076 | + | 0.999553i | \(0.490479\pi\) | |||||||
\(824\) | −10.9402 | −0.381120 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −31.7900 | −1.10612 | ||||||||
\(827\) | 37.3479 | − | 37.3479i | 1.29872 | − | 1.29872i | 0.369474 | − | 0.929241i | \(-0.379538\pi\) |
0.929241 | − | 0.369474i | \(-0.120462\pi\) | |||||||
\(828\) | −6.97903 | + | 6.97903i | −0.242538 | + | 0.242538i | ||||
\(829\) | − | 7.79972i | − | 0.270895i | −0.990785 | − | 0.135448i | \(-0.956753\pi\) | ||
0.990785 | − | 0.135448i | \(-0.0432473\pi\) | |||||||
\(830\) | −33.9388 | − | 28.5990i | −1.17803 | − | 0.992685i | ||||
\(831\) | − | 9.42938i | − | 0.327102i | ||||||
\(832\) | 4.65132 | − | 4.65132i | 0.161255 | − | 0.161255i | ||||
\(833\) | −2.19493 | − | 2.19493i | −0.0760498 | − | 0.0760498i | ||||
\(834\) | 40.3758i | 1.39810i | ||||||||
\(835\) | 25.2637 | − | 2.15715i | 0.874287 | − | 0.0746513i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 2.58063 | + | 2.58063i | 0.0891997 | + | 0.0891997i | ||||
\(838\) | −18.0374 | − | 18.0374i | −0.623091 | − | 0.623091i | ||||
\(839\) | 26.5383i | 0.916204i | 0.888900 | + | 0.458102i | \(0.151471\pi\) | ||||
−0.888900 | + | 0.458102i | \(0.848529\pi\) | |||||||
\(840\) | −60.0455 | + | 5.12701i | −2.07177 | + | 0.176899i | ||||
\(841\) | −20.5862 | −0.709868 | ||||||||
\(842\) | 6.94735 | − | 6.94735i | 0.239422 | − | 0.239422i | ||||
\(843\) | −5.77972 | − | 5.77972i | −0.199064 | − | 0.199064i | ||||
\(844\) | −9.60215 | −0.330519 | ||||||||
\(845\) | 17.9434 | − | 21.2937i | 0.617271 | − | 0.732524i | ||||
\(846\) | 4.66717i | 0.160461i | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 8.65158 | − | 8.65158i | 0.297096 | − | 0.297096i | ||||
\(849\) | −53.8206 | −1.84712 | ||||||||
\(850\) | −3.76663 | + | 0.647954i | −0.129194 | + | 0.0222246i | ||||
\(851\) | −14.0157 | −0.480453 | ||||||||
\(852\) | −3.03364 | − | 3.03364i | −0.103931 | − | 0.103931i | ||||
\(853\) | −35.9143 | − | 35.9143i | −1.22968 | − | 1.22968i | −0.964084 | − | 0.265598i | \(-0.914430\pi\) |
−0.265598 | − | 0.964084i | \(-0.585570\pi\) | |||||||
\(854\) | −16.0950 | −0.550759 | ||||||||
\(855\) | −15.7382 | + | 18.6767i | −0.538235 | + | 0.638731i | ||||
\(856\) | 20.1484 | 0.688657 | ||||||||
\(857\) | 21.6116 | − | 21.6116i | 0.738238 | − | 0.738238i | −0.233999 | − | 0.972237i | \(-0.575181\pi\) |
0.972237 | + | 0.233999i | \(0.0751812\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 14.1414i | 0.482499i | 0.970463 | + | 0.241250i | \(0.0775572\pi\) | ||||
−0.970463 | + | 0.241250i | \(0.922443\pi\) | |||||||
\(860\) | −5.99033 | + | 0.511487i | −0.204269 | + | 0.0174416i | ||||
\(861\) | −9.00298 | −0.306821 | ||||||||
\(862\) | 26.1044 | + | 26.1044i | 0.889120 | + | 0.889120i | ||||
\(863\) | −28.3064 | + | 28.3064i | −0.963561 | + | 0.963561i | −0.999359 | − | 0.0357978i | \(-0.988603\pi\) |
0.0357978 | + | 0.999359i | \(0.488603\pi\) | |||||||
\(864\) | 3.10273 | 0.105557 | ||||||||
\(865\) | −0.873889 | − | 10.2346i | −0.0297131 | − | 0.347988i | ||||
\(866\) | − | 12.7296i | − | 0.432569i | ||||||
\(867\) | −29.8970 | − | 29.8970i | −1.01536 | − | 1.01536i | ||||
\(868\) | −3.47316 | − | 3.47316i | −0.117887 | − | 0.117887i | ||||
\(869\) | 0 | 0 | ||||||||
\(870\) | 13.1674 | − | 15.6259i | 0.446416 | − | 0.529767i | ||||
\(871\) | 9.82571i | 0.332932i | ||||||||
\(872\) | 15.5850 | + | 15.5850i | 0.527776 | + | 0.527776i | ||||
\(873\) | −35.2386 | + | 35.2386i | −1.19265 | + | 1.19265i | ||||
\(874\) | 23.7272i | 0.802583i | ||||||||
\(875\) | −9.80121 | − | 37.5169i | −0.331341 | − | 1.26830i | ||||
\(876\) | 0.638184i | 0.0215622i | ||||||||
\(877\) | −25.9004 | + | 25.9004i | −0.874596 | + | 0.874596i | −0.992969 | − | 0.118373i | \(-0.962232\pi\) |
0.118373 | + | 0.992969i | \(0.462232\pi\) | |||||||
\(878\) | −26.6166 | + | 26.6166i | −0.898266 | + | 0.898266i | ||||
\(879\) | −72.9982 | −2.46217 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −50.8785 | −1.71414 | −0.857069 | − | 0.515201i | \(-0.827717\pi\) | ||||
−0.857069 | + | 0.515201i | \(0.827717\pi\) | |||||||
\(882\) | 15.2906 | − | 15.2906i | 0.514860 | − | 0.514860i | ||||
\(883\) | 5.72239 | − | 5.72239i | 0.192574 | − | 0.192574i | −0.604234 | − | 0.796807i | \(-0.706521\pi\) |
0.796807 | + | 0.604234i | \(0.206521\pi\) | |||||||
\(884\) | − | 0.213006i | − | 0.00716417i | ||||||
\(885\) | 3.58245 | + | 41.9562i | 0.120423 | + | 1.41034i | ||||
\(886\) | − | 13.9103i | − | 0.467326i | ||||||
\(887\) | −12.6661 | + | 12.6661i | −0.425287 | + | 0.425287i | −0.887019 | − | 0.461732i | \(-0.847228\pi\) |
0.461732 | + | 0.887019i | \(0.347228\pi\) | |||||||
\(888\) | 12.6422 | + | 12.6422i | 0.424244 | + | 0.424244i | ||||
\(889\) | − | 45.0351i | − | 1.51043i | ||||||
\(890\) | −3.45896 | − | 40.5100i | −0.115945 | − | 1.35790i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −2.64351 | − | 2.64351i | −0.0885114 | − | 0.0885114i | ||||
\(893\) | −2.41393 | − | 2.41393i | −0.0807789 | − | 0.0807789i | ||||
\(894\) | 60.4213i | 2.02079i | ||||||||
\(895\) | −3.96357 | + | 4.70363i | −0.132488 | + | 0.157225i | ||||
\(896\) | 20.2974 | 0.678088 | ||||||||
\(897\) | −8.10517 | + | 8.10517i | −0.270624 | + | 0.270624i | ||||
\(898\) | −17.1098 | − | 17.1098i | −0.570960 | − | 0.570960i | ||||
\(899\) | 8.80469 | 0.293653 | ||||||||
\(900\) | 1.37340 | + | 7.98371i | 0.0457799 | + | 0.266124i | ||||
\(901\) | − | 2.65078i | − | 0.0883101i | ||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 35.9553 | − | 35.9553i | 1.19652 | − | 1.19652i | ||||
\(904\) | 12.8994 | 0.429029 | ||||||||
\(905\) | −12.2228 | − | 10.2997i | −0.406301 | − | 0.342375i | ||||
\(906\) | −59.6149 | −1.98057 | ||||||||
\(907\) | 37.1537 | + | 37.1537i | 1.23367 | + | 1.23367i | 0.962544 | + | 0.271124i | \(0.0873954\pi\) |
0.271124 | + | 0.962544i | \(0.412605\pi\) | |||||||
\(908\) | 1.02234 | + | 1.02234i | 0.0339276 | + | 0.0339276i | ||||
\(909\) | 28.0112 | 0.929071 | ||||||||
\(910\) | −7.07692 | + | 0.604265i | −0.234598 | + | 0.0200312i | ||||
\(911\) | −14.1429 | −0.468575 | −0.234288 | − | 0.972167i | \(-0.575276\pi\) | ||||
−0.234288 | + | 0.972167i | \(0.575276\pi\) | |||||||
\(912\) | 16.1219 | − | 16.1219i | 0.533848 | − | 0.533848i | ||||
\(913\) | 0 | 0 | ||||||||
\(914\) | − | 14.5786i | − | 0.482218i | ||||||
\(915\) | 1.81376 | + | 21.2420i | 0.0599610 | + | 0.702240i | ||||
\(916\) | −6.86826 | −0.226934 | ||||||||
\(917\) | −42.2703 | − | 42.2703i | −1.39589 | − | 1.39589i | ||||
\(918\) | −0.649867 | + | 0.649867i | −0.0214488 | + | 0.0214488i | ||||
\(919\) | 42.5995 | 1.40523 | 0.702614 | − | 0.711571i | \(-0.252016\pi\) | ||||
0.702614 | + | 0.711571i | \(0.252016\pi\) | |||||||
\(920\) | 31.8159 | + | 26.8101i | 1.04894 | + | 0.883903i | ||||
\(921\) | − | 47.3948i | − | 1.56171i | ||||||
\(922\) | −23.2593 | − | 23.2593i | −0.766003 | − | 0.766003i | ||||
\(923\) | −1.89019 | − | 1.89019i | −0.0622165 | − | 0.0622165i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −6.63762 | + | 9.39576i | −0.218244 | + | 0.308931i | ||||
\(926\) | − | 25.2632i | − | 0.830199i | ||||||
\(927\) | −8.79506 | − | 8.79506i | −0.288868 | − | 0.288868i | ||||
\(928\) | 5.29300 | − | 5.29300i | 0.173751 | − | 0.173751i | ||||
\(929\) | − | 11.8515i | − | 0.388835i | −0.980919 | − | 0.194417i | \(-0.937718\pi\) | ||
0.980919 | − | 0.194417i | \(-0.0622816\pi\) | |||||||
\(930\) | 13.7791 | − | 16.3518i | 0.451833 | − | 0.536196i | ||||
\(931\) | 15.8170i | 0.518381i | ||||||||
\(932\) | 4.60075 | − | 4.60075i | 0.150703 | − | 0.150703i | ||||
\(933\) | 30.6446 | − | 30.6446i | 1.00326 | − | 1.00326i | ||||
\(934\) | 23.1291 | 0.756807 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 7.84466 | 0.256411 | ||||||||
\(937\) | −12.9845 | + | 12.9845i | −0.424184 | + | 0.424184i | −0.886641 | − | 0.462458i | \(-0.846968\pi\) |
0.462458 | + | 0.886641i | \(0.346968\pi\) | |||||||
\(938\) | −40.3455 | + | 40.3455i | −1.31733 | + | 1.31733i | ||||
\(939\) | 40.1427i | 1.31001i | ||||||||
\(940\) | −1.12821 | + | 0.0963326i | −0.0367981 | + | 0.00314202i | ||||
\(941\) | − | 2.75204i | − | 0.0897140i | −0.998993 | − | 0.0448570i | \(-0.985717\pi\) | ||
0.998993 | − | 0.0448570i | \(-0.0142832\pi\) | |||||||
\(942\) | −27.3598 | + | 27.3598i | −0.891430 | + | 0.891430i | ||||
\(943\) | 4.39508 | + | 4.39508i | 0.143123 | + | 0.143123i | ||||
\(944\) | − | 21.0897i | − | 0.686410i | ||||||
\(945\) | −7.13033 | − | 6.00847i | −0.231950 | − | 0.195455i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 16.3254 | + | 16.3254i | 0.530503 | + | 0.530503i | 0.920722 | − | 0.390219i | \(-0.127601\pi\) |
−0.390219 | + | 0.920722i | \(0.627601\pi\) | |||||||
\(948\) | 10.2458 | + | 10.2458i | 0.332767 | + | 0.332767i | ||||
\(949\) | 0.397638i | 0.0129079i | ||||||||
\(950\) | 15.9061 | + | 11.2368i | 0.516061 | + | 0.364570i | ||||
\(951\) | 16.8848 | 0.547526 | ||||||||
\(952\) | 4.62383 | − | 4.62383i | 0.149859 | − | 0.149859i | ||||
\(953\) | −34.1955 | − | 34.1955i | −1.10770 | − | 1.10770i | −0.993452 | − | 0.114247i | \(-0.963554\pi\) |
−0.114247 | − | 0.993452i | \(-0.536446\pi\) | |||||||
\(954\) | 18.4661 | 0.597864 | ||||||||
\(955\) | −5.95728 | − | 5.01998i | −0.192773 | − | 0.162443i | ||||
\(956\) | − | 1.50134i | − | 0.0485570i | ||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −6.38460 | + | 6.38460i | −0.206277 | + | 0.206277i | ||||
\(959\) | −19.9484 | −0.644168 | ||||||||
\(960\) | −4.30453 | − | 50.4129i | −0.138928 | − | 1.62707i | ||||
\(961\) | −21.7863 | −0.702784 | ||||||||
\(962\) | 1.49000 | + | 1.49000i | 0.0480394 | + | 0.0480394i | ||||
\(963\) | 16.1977 | + | 16.1977i | 0.521964 | + | 0.521964i | ||||
\(964\) | −7.03294 | −0.226516 | ||||||||
\(965\) | −2.06661 | − | 24.2033i | −0.0665264 | − | 0.779131i | ||||
\(966\) | −66.5615 | −2.14158 | ||||||||
\(967\) | −14.7018 | + | 14.7018i | −0.472778 | + | 0.472778i | −0.902813 | − | 0.430034i | \(-0.858501\pi\) |
0.430034 | + | 0.902813i | \(0.358501\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | − | 4.93961i | − | 0.158683i | ||||||
\(970\) | 30.3871 | + | 25.6061i | 0.975670 | + | 0.822161i | ||||
\(971\) | 26.8154 | 0.860548 | 0.430274 | − | 0.902698i | \(-0.358417\pi\) | ||||
0.430274 | + | 0.902698i | \(0.358417\pi\) | |||||||
\(972\) | −7.36660 | − | 7.36660i | −0.236284 | − | 0.236284i | ||||
\(973\) | 31.4299 | − | 31.4299i | 1.00760 | − | 1.00760i | ||||
\(974\) | −33.8220 | −1.08373 | ||||||||
\(975\) | 1.59501 | + | 9.27197i | 0.0510812 | + | 0.296941i | ||||
\(976\) | − | 10.6775i | − | 0.341778i | ||||||
\(977\) | 31.7731 | + | 31.7731i | 1.01651 | + | 1.01651i | 0.999861 | + | 0.0166513i | \(0.00530052\pi\) |
0.0166513 | + | 0.999861i | \(0.494699\pi\) | |||||||
\(978\) | −21.6094 | − | 21.6094i | −0.690992 | − | 0.690992i | ||||
\(979\) | 0 | 0 | ||||||||
\(980\) | 4.01184 | + | 3.38063i | 0.128153 | + | 0.107990i | ||||
\(981\) | 25.0583i | 0.800049i | ||||||||
\(982\) | −13.4737 | − | 13.4737i | −0.429962 | − | 0.429962i | ||||
\(983\) | 35.9198 | − | 35.9198i | 1.14566 | − | 1.14566i | 0.158268 | − | 0.987396i | \(-0.449409\pi\) |
0.987396 | − | 0.158268i | \(-0.0505911\pi\) | |||||||
\(984\) | − | 7.92872i | − | 0.252758i | ||||||
\(985\) | 35.8339 | − | 3.05969i | 1.14176 | − | 0.0974898i | ||||
\(986\) | 2.21724i | 0.0706112i | ||||||||
\(987\) | 6.77175 | − | 6.77175i | 0.215547 | − | 0.215547i | ||||
\(988\) | −0.767477 | + | 0.767477i | −0.0244167 | + | 0.0244167i | ||||
\(989\) | −35.1053 | −1.11628 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −13.2536 | −0.421013 | −0.210507 | − | 0.977592i | \(-0.567511\pi\) | ||||
−0.210507 | + | 0.977592i | \(0.567511\pi\) | |||||||
\(992\) | 5.53888 | − | 5.53888i | 0.175860 | − | 0.175860i | ||||
\(993\) | −21.7269 | + | 21.7269i | −0.689484 | + | 0.689484i | ||||
\(994\) | − | 15.5227i | − | 0.492350i | ||||||
\(995\) | 39.9817 | − | 47.4468i | 1.26750 | − | 1.50416i | ||||
\(996\) | − | 19.0257i | − | 0.602852i | ||||||
\(997\) | −12.9945 | + | 12.9945i | −0.411539 | + | 0.411539i | −0.882274 | − | 0.470735i | \(-0.843989\pi\) |
0.470735 | + | 0.882274i | \(0.343989\pi\) | |||||||
\(998\) | −2.00764 | − | 2.00764i | −0.0635508 | − | 0.0635508i | ||||
\(999\) | 2.76628i | 0.0875214i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))