Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [961,2,Mod(374,961)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(961, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("961.374");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 961 = 31^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 961.d (of order \(5\), degree \(4\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.67362363425\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{5})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} + 19x^{14} + 140x^{12} + 511x^{10} + 979x^{8} + 956x^{6} + 410x^{4} + 44x^{2} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 5^{2} \) |
Twist minimal: | no (minimal twist has level 31) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 531.1 | ||
Root | \(1.14660i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 961.531 |
Dual form | 961.2.d.n.628.1 |
$q$-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 \(\left(\mathbb{Z}/961\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{3}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.831304 | − | 2.55849i | −0.587821 | − | 1.80913i | −0.587636 | − | 0.809126i | \(-0.699941\pi\) |
−0.000184800 | − | 1.00000i | \(-0.500059\pi\) | |||||||
\(3\) | −0.438546 | + | 1.34971i | −0.253195 | + | 0.779253i | 0.740985 | + | 0.671521i | \(0.234359\pi\) |
−0.994180 | + | 0.107732i | \(0.965641\pi\) | |||||||
\(4\) | −4.23677 | + | 3.07819i | −2.11839 | + | 1.53910i | ||||
\(5\) | 0.608384 | 0.272077 | 0.136039 | − | 0.990704i | \(-0.456563\pi\) | ||||
0.136039 | + | 0.990704i | \(0.456563\pi\) | |||||||
\(6\) | 3.81777 | 1.55860 | ||||||||
\(7\) | 1.39707 | − | 1.01503i | 0.528045 | − | 0.383647i | −0.291581 | − | 0.956546i | \(-0.594181\pi\) |
0.819626 | + | 0.572899i | \(0.194181\pi\) | |||||||
\(8\) | 7.04481 | + | 5.11835i | 2.49072 | + | 1.80961i | ||||
\(9\) | 0.797669 | + | 0.579540i | 0.265890 | + | 0.193180i | ||||
\(10\) | −0.505752 | − | 1.55654i | −0.159933 | − | 0.492222i | ||||
\(11\) | −1.08197 | + | 0.786100i | −0.326227 | + | 0.237018i | −0.738828 | − | 0.673894i | \(-0.764620\pi\) |
0.412601 | + | 0.910912i | \(0.364620\pi\) | |||||||
\(12\) | −2.29664 | − | 7.06832i | −0.662982 | − | 2.04045i | ||||
\(13\) | −1.13430 | + | 3.49101i | −0.314598 | + | 0.968232i | 0.661322 | + | 0.750102i | \(0.269996\pi\) |
−0.975920 | + | 0.218130i | \(0.930004\pi\) | |||||||
\(14\) | −3.75835 | − | 2.73060i | −1.00446 | − | 0.729783i | ||||
\(15\) | −0.266804 | + | 0.821139i | −0.0688885 | + | 0.212017i | ||||
\(16\) | 4.00227 | − | 12.3177i | 1.00057 | − | 3.07943i | ||||
\(17\) | −2.23517 | − | 1.62394i | −0.542108 | − | 0.393864i | 0.282759 | − | 0.959191i | \(-0.408750\pi\) |
−0.824867 | + | 0.565326i | \(0.808750\pi\) | |||||||
\(18\) | 0.819643 | − | 2.52260i | 0.193192 | − | 0.594583i | ||||
\(19\) | −0.793456 | − | 2.44201i | −0.182031 | − | 0.560235i | 0.817853 | − | 0.575427i | \(-0.195164\pi\) |
−0.999885 | + | 0.0151921i | \(0.995164\pi\) | |||||||
\(20\) | −2.57758 | + | 1.87272i | −0.576365 | + | 0.418754i | ||||
\(21\) | 0.757316 | + | 2.33078i | 0.165260 | + | 0.508617i | ||||
\(22\) | 2.91068 | + | 2.11473i | 0.620558 | + | 0.450862i | ||||
\(23\) | −0.436271 | − | 0.316969i | −0.0909688 | − | 0.0660927i | 0.541371 | − | 0.840784i | \(-0.317905\pi\) |
−0.632340 | + | 0.774691i | \(0.717905\pi\) | |||||||
\(24\) | −9.99774 | + | 7.26378i | −2.04078 | + | 1.48271i | ||||
\(25\) | −4.62987 | −0.925974 | ||||||||
\(26\) | 9.87466 | 1.93658 | ||||||||
\(27\) | −4.57641 | + | 3.32495i | −0.880730 | + | 0.639888i | ||||
\(28\) | −2.79461 | + | 8.60093i | −0.528132 | + | 1.62542i | ||||
\(29\) | 2.51258 | + | 7.73291i | 0.466574 | + | 1.43597i | 0.856993 | + | 0.515329i | \(0.172330\pi\) |
−0.390419 | + | 0.920637i | \(0.627670\pi\) | |||||||
\(30\) | 2.32267 | 0.424060 | ||||||||
\(31\) | 0 | 0 | ||||||||
\(32\) | −17.4262 | −3.08054 | ||||||||
\(33\) | −0.586508 | − | 1.80509i | −0.102098 | − | 0.314225i | ||||
\(34\) | −2.29674 | + | 7.06865i | −0.393888 | + | 1.21226i | ||||
\(35\) | 0.849957 | − | 0.617530i | 0.143669 | − | 0.104382i | ||||
\(36\) | −5.16348 | −0.860580 | ||||||||
\(37\) | −7.74498 | −1.27327 | −0.636633 | − | 0.771167i | \(-0.719673\pi\) | ||||
−0.636633 | + | 0.771167i | \(0.719673\pi\) | |||||||
\(38\) | −5.58825 | + | 4.06010i | −0.906533 | + | 0.658635i | ||||
\(39\) | −4.21439 | − | 3.06194i | −0.674843 | − | 0.490302i | ||||
\(40\) | 4.28595 | + | 3.11392i | 0.677668 | + | 0.492354i | ||||
\(41\) | −0.0321538 | − | 0.0989592i | −0.00502158 | − | 0.0154548i | 0.948514 | − | 0.316734i | \(-0.102586\pi\) |
−0.953536 | + | 0.301279i | \(0.902586\pi\) | |||||||
\(42\) | 5.33371 | − | 3.87517i | 0.823010 | − | 0.597952i | ||||
\(43\) | 0.928504 | + | 2.85764i | 0.141596 | + | 0.435786i | 0.996558 | − | 0.0829044i | \(-0.0264196\pi\) |
−0.854962 | + | 0.518691i | \(0.826420\pi\) | |||||||
\(44\) | 2.16431 | − | 6.66105i | 0.326281 | − | 1.00419i | ||||
\(45\) | 0.485289 | + | 0.352583i | 0.0723426 | + | 0.0525600i | ||||
\(46\) | −0.448289 | + | 1.37969i | −0.0660967 | + | 0.203425i | ||||
\(47\) | −2.07813 | + | 6.39584i | −0.303127 | + | 0.932929i | 0.677243 | + | 0.735760i | \(0.263175\pi\) |
−0.980370 | + | 0.197169i | \(0.936825\pi\) | |||||||
\(48\) | 14.8701 | + | 10.8038i | 2.14632 | + | 1.55939i | ||||
\(49\) | −1.24160 | + | 3.82124i | −0.177371 | + | 0.545891i | ||||
\(50\) | 3.84883 | + | 11.8455i | 0.544306 | + | 1.67520i | ||||
\(51\) | 3.17207 | − | 2.30464i | 0.444179 | − | 0.322715i | ||||
\(52\) | −5.94025 | − | 18.2822i | −0.823764 | − | 2.53528i | ||||
\(53\) | 2.26423 | + | 1.64506i | 0.311016 | + | 0.225967i | 0.732332 | − | 0.680947i | \(-0.238432\pi\) |
−0.421316 | + | 0.906914i | \(0.638432\pi\) | |||||||
\(54\) | 12.3112 | + | 8.94464i | 1.67535 | + | 1.21721i | ||||
\(55\) | −0.658255 | + | 0.478250i | −0.0887591 | + | 0.0644872i | ||||
\(56\) | 15.0374 | 2.00946 | ||||||||
\(57\) | 3.64396 | 0.482654 | ||||||||
\(58\) | 17.6959 | − | 12.8568i | 2.32358 | − | 1.68818i | ||||
\(59\) | 0.144074 | − | 0.443414i | 0.0187568 | − | 0.0577275i | −0.941240 | − | 0.337738i | \(-0.890338\pi\) |
0.959997 | + | 0.280011i | \(0.0903381\pi\) | |||||||
\(60\) | −1.39724 | − | 4.30025i | −0.180382 | − | 0.555160i | ||||
\(61\) | 5.11468 | 0.654867 | 0.327434 | − | 0.944874i | \(-0.393816\pi\) | ||||
0.327434 | + | 0.944874i | \(0.393816\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 1.70266 | 0.214514 | ||||||||
\(64\) | 6.48190 | + | 19.9492i | 0.810238 | + | 2.49365i | ||||
\(65\) | −0.690088 | + | 2.12387i | −0.0855949 | + | 0.263434i | ||||
\(66\) | −4.13073 | + | 3.00115i | −0.508457 | + | 0.369416i | ||||
\(67\) | 8.29847 | 1.01382 | 0.506910 | − | 0.861999i | \(-0.330788\pi\) | ||||
0.506910 | + | 0.861999i | \(0.330788\pi\) | |||||||
\(68\) | 14.4687 | 1.75459 | ||||||||
\(69\) | 0.619140 | − | 0.449832i | 0.0745357 | − | 0.0541534i | ||||
\(70\) | −2.28652 | − | 1.66125i | −0.273291 | − | 0.198558i | ||||
\(71\) | −3.84988 | − | 2.79710i | −0.456896 | − | 0.331955i | 0.335416 | − | 0.942070i | \(-0.391123\pi\) |
−0.792312 | + | 0.610115i | \(0.791123\pi\) | |||||||
\(72\) | 2.65313 | + | 8.16550i | 0.312675 | + | 0.962314i | ||||
\(73\) | 6.07264 | − | 4.41203i | 0.710748 | − | 0.516389i | −0.172667 | − | 0.984980i | \(-0.555238\pi\) |
0.883415 | + | 0.468591i | \(0.155238\pi\) | |||||||
\(74\) | 6.43843 | + | 19.8154i | 0.748452 | + | 2.30350i | ||||
\(75\) | 2.03041 | − | 6.24896i | 0.234452 | − | 0.721568i | ||||
\(76\) | 10.8787 | + | 7.90381i | 1.24787 | + | 0.906629i | ||||
\(77\) | −0.713679 | + | 2.19648i | −0.0813313 | + | 0.250312i | ||||
\(78\) | −4.33049 | + | 13.3279i | −0.490332 | + | 1.50909i | ||||
\(79\) | −7.84662 | − | 5.70090i | −0.882814 | − | 0.641402i | 0.0511806 | − | 0.998689i | \(-0.483702\pi\) |
−0.933994 | + | 0.357288i | \(0.883702\pi\) | |||||||
\(80\) | 2.43492 | − | 7.49391i | 0.272232 | − | 0.837845i | ||||
\(81\) | −1.56670 | − | 4.82180i | −0.174077 | − | 0.535755i | ||||
\(82\) | −0.226457 | + | 0.164530i | −0.0250079 | + | 0.0181693i | ||||
\(83\) | 5.15582 | + | 15.8680i | 0.565925 | + | 1.74174i | 0.665187 | + | 0.746676i | \(0.268352\pi\) |
−0.0992626 | + | 0.995061i | \(0.531648\pi\) | |||||||
\(84\) | −10.3832 | − | 7.54381i | −1.13290 | − | 0.823097i | ||||
\(85\) | −1.35984 | − | 0.987981i | −0.147495 | − | 0.107162i | ||||
\(86\) | 6.53938 | − | 4.75114i | 0.705160 | − | 0.512328i | ||||
\(87\) | −11.5390 | −1.23711 | ||||||||
\(88\) | −11.6458 | −1.24145 | ||||||||
\(89\) | −12.3911 | + | 9.00268i | −1.31346 | + | 0.954282i | −0.313468 | + | 0.949599i | \(0.601491\pi\) |
−0.999989 | + | 0.00468333i | \(0.998509\pi\) | |||||||
\(90\) | 0.498657 | − | 1.53471i | 0.0525631 | − | 0.161773i | ||||
\(91\) | 1.95880 | + | 6.02855i | 0.205338 | + | 0.631964i | ||||
\(92\) | 2.82407 | 0.294430 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 18.0912 | 1.86597 | ||||||||
\(95\) | −0.482726 | − | 1.48568i | −0.0495266 | − | 0.152427i | ||||
\(96\) | 7.64218 | − | 23.5202i | 0.779977 | − | 2.40052i | ||||
\(97\) | 1.03488 | − | 0.751881i | 0.105076 | − | 0.0763420i | −0.534007 | − | 0.845480i | \(-0.679314\pi\) |
0.639082 | + | 0.769138i | \(0.279314\pi\) | |||||||
\(98\) | 10.8087 | 1.09185 | ||||||||
\(99\) | −1.31863 | −0.132528 | ||||||||
\(100\) | 19.6157 | − | 14.2516i | 1.96157 | − | 1.42516i | ||||
\(101\) | −6.56941 | − | 4.77296i | −0.653681 | − | 0.474927i | 0.210842 | − | 0.977520i | \(-0.432379\pi\) |
−0.864523 | + | 0.502593i | \(0.832379\pi\) | |||||||
\(102\) | −8.53336 | − | 6.19985i | −0.844929 | − | 0.613877i | ||||
\(103\) | 4.68238 | + | 14.4109i | 0.461369 | + | 1.41995i | 0.863492 | + | 0.504362i | \(0.168272\pi\) |
−0.402123 | + | 0.915585i | \(0.631728\pi\) | |||||||
\(104\) | −25.8591 | + | 18.7878i | −2.53570 | + | 1.84229i | ||||
\(105\) | 0.460739 | + | 1.41801i | 0.0449635 | + | 0.138383i | ||||
\(106\) | 2.32661 | − | 7.16056i | 0.225980 | − | 0.695495i | ||||
\(107\) | 10.0121 | + | 7.27420i | 0.967904 | + | 0.703224i | 0.954973 | − | 0.296693i | \(-0.0958837\pi\) |
0.0129314 | + | 0.999916i | \(0.495884\pi\) | |||||||
\(108\) | 9.15433 | − | 28.1741i | 0.880876 | − | 2.71106i | ||||
\(109\) | 2.22788 | − | 6.85672i | 0.213392 | − | 0.656755i | −0.785871 | − | 0.618390i | \(-0.787785\pi\) |
0.999264 | − | 0.0383645i | \(-0.0122148\pi\) | |||||||
\(110\) | 1.77081 | + | 1.28657i | 0.168840 | + | 0.122669i | ||||
\(111\) | 3.39653 | − | 10.4534i | 0.322384 | − | 0.992196i | ||||
\(112\) | −6.91144 | − | 21.2712i | −0.653070 | − | 2.00994i | ||||
\(113\) | −13.4878 | + | 9.79944i | −1.26882 | + | 0.921854i | −0.999155 | − | 0.0410999i | \(-0.986914\pi\) |
−0.269668 | + | 0.962953i | \(0.586914\pi\) | |||||||
\(114\) | −3.02923 | − | 9.32302i | −0.283714 | − | 0.873181i | ||||
\(115\) | −0.265420 | − | 0.192839i | −0.0247506 | − | 0.0179823i | ||||
\(116\) | −34.4486 | − | 25.0284i | −3.19847 | − | 2.32383i | ||||
\(117\) | −2.92798 | + | 2.12730i | −0.270691 | + | 0.196669i | ||||
\(118\) | −1.25424 | −0.115462 | ||||||||
\(119\) | −4.77105 | −0.437362 | ||||||||
\(120\) | −6.08246 | + | 4.41917i | −0.555250 | + | 0.403413i | ||||
\(121\) | −2.84647 | + | 8.76054i | −0.258770 | + | 0.796413i | ||||
\(122\) | −4.25185 | − | 13.0859i | −0.384944 | − | 1.18474i | ||||
\(123\) | 0.147667 | 0.0133147 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −5.85866 | −0.524014 | ||||||||
\(126\) | −1.41542 | − | 4.35623i | −0.126096 | − | 0.388084i | ||||
\(127\) | 3.98923 | − | 12.2776i | 0.353987 | − | 1.08946i | −0.602607 | − | 0.798038i | \(-0.705871\pi\) |
0.956594 | − | 0.291423i | \(-0.0941287\pi\) | |||||||
\(128\) | 17.4553 | − | 12.6820i | 1.54285 | − | 1.12095i | ||||
\(129\) | −4.26417 | −0.375439 | ||||||||
\(130\) | 6.00758 | 0.526900 | ||||||||
\(131\) | 1.97221 | − | 1.43289i | 0.172313 | − | 0.125192i | −0.498286 | − | 0.867013i | \(-0.666037\pi\) |
0.670599 | + | 0.741820i | \(0.266037\pi\) | |||||||
\(132\) | 8.04130 | + | 5.84235i | 0.699906 | + | 0.508511i | ||||
\(133\) | −3.58724 | − | 2.60628i | −0.311053 | − | 0.225993i | ||||
\(134\) | −6.89855 | − | 21.2315i | −0.595944 | − | 1.83413i | ||||
\(135\) | −2.78421 | + | 2.02285i | −0.239627 | + | 0.174099i | ||||
\(136\) | −7.43441 | − | 22.8808i | −0.637495 | − | 1.96201i | ||||
\(137\) | −2.51658 | + | 7.74524i | −0.215006 | + | 0.661720i | 0.784147 | + | 0.620575i | \(0.213101\pi\) |
−0.999153 | + | 0.0411454i | \(0.986899\pi\) | |||||||
\(138\) | −1.66558 | − | 1.21012i | −0.141784 | − | 0.103012i | ||||
\(139\) | 0.418212 | − | 1.28712i | 0.0354723 | − | 0.109172i | −0.931753 | − | 0.363094i | \(-0.881720\pi\) |
0.967225 | + | 0.253921i | \(0.0817204\pi\) | |||||||
\(140\) | −1.70020 | + | 5.23267i | −0.143693 | + | 0.442241i | ||||
\(141\) | −7.72114 | − | 5.60974i | −0.650237 | − | 0.472425i | ||||
\(142\) | −3.95593 | + | 12.1751i | −0.331974 | + | 1.02171i | ||||
\(143\) | −1.51700 | − | 4.66885i | −0.126858 | − | 0.390429i | ||||
\(144\) | 10.3311 | − | 7.50599i | 0.860926 | − | 0.625499i | ||||
\(145\) | 1.52861 | + | 4.70458i | 0.126944 | + | 0.390694i | ||||
\(146\) | −16.3363 | − | 11.8690i | −1.35200 | − | 0.982289i | ||||
\(147\) | −4.61305 | − | 3.35158i | −0.380478 | − | 0.276433i | ||||
\(148\) | 32.8137 | − | 23.8405i | 2.69727 | − | 1.95968i | ||||
\(149\) | −9.00385 | −0.737624 | −0.368812 | − | 0.929504i | \(-0.620235\pi\) | ||||
−0.368812 | + | 0.929504i | \(0.620235\pi\) | |||||||
\(150\) | −17.6758 | −1.44322 | ||||||||
\(151\) | −2.59566 | + | 1.88585i | −0.211232 | + | 0.153469i | −0.688371 | − | 0.725359i | \(-0.741674\pi\) |
0.477139 | + | 0.878828i | \(0.341674\pi\) | |||||||
\(152\) | 6.90931 | − | 21.2647i | 0.560419 | − | 1.72479i | ||||
\(153\) | −0.841782 | − | 2.59074i | −0.0680541 | − | 0.209449i | ||||
\(154\) | 6.21295 | 0.500654 | ||||||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 27.2807 | 2.18420 | ||||||||
\(157\) | −1.02803 | − | 3.16395i | −0.0820456 | − | 0.252510i | 0.901616 | − | 0.432537i | \(-0.142382\pi\) |
−0.983662 | + | 0.180027i | \(0.942382\pi\) | |||||||
\(158\) | −8.06278 | + | 24.8147i | −0.641440 | + | 1.97415i | ||||
\(159\) | −3.21332 | + | 2.33461i | −0.254833 | + | 0.185147i | ||||
\(160\) | −10.6018 | −0.838146 | ||||||||
\(161\) | −0.931238 | −0.0733918 | ||||||||
\(162\) | −11.0341 | + | 8.01676i | −0.866922 | + | 0.629856i | ||||
\(163\) | −1.40797 | − | 1.02295i | −0.110281 | − | 0.0801236i | 0.531278 | − | 0.847198i | \(-0.321712\pi\) |
−0.641559 | + | 0.767074i | \(0.721712\pi\) | |||||||
\(164\) | 0.440844 | + | 0.320292i | 0.0344241 | + | 0.0250106i | ||||
\(165\) | −0.356822 | − | 1.09818i | −0.0277785 | − | 0.0854936i | ||||
\(166\) | 36.3120 | − | 26.3822i | 2.81836 | − | 2.04766i | ||||
\(167\) | 4.33133 | + | 13.3305i | 0.335168 | + | 1.03154i | 0.966639 | + | 0.256142i | \(0.0824516\pi\) |
−0.631471 | + | 0.775400i | \(0.717548\pi\) | |||||||
\(168\) | −6.59460 | + | 20.2961i | −0.508785 | + | 1.56588i | ||||
\(169\) | −0.383297 | − | 0.278482i | −0.0294844 | − | 0.0214217i | ||||
\(170\) | −1.39730 | + | 4.30045i | −0.107168 | + | 0.329829i | ||||
\(171\) | 0.782326 | − | 2.40775i | 0.0598260 | − | 0.184125i | ||||
\(172\) | −12.7302 | − | 9.24906i | −0.970672 | − | 0.705234i | ||||
\(173\) | −0.00370230 | + | 0.0113945i | −0.000281480 | + | 0.000866308i | −0.951197 | − | 0.308584i | \(-0.900145\pi\) |
0.950916 | + | 0.309450i | \(0.100145\pi\) | |||||||
\(174\) | 9.59244 | + | 29.5225i | 0.727201 | + | 2.23810i | ||||
\(175\) | −6.46827 | + | 4.69947i | −0.488955 | + | 0.355247i | ||||
\(176\) | 5.35261 | + | 16.4736i | 0.403468 | + | 1.24175i | ||||
\(177\) | 0.535295 | + | 0.388914i | 0.0402352 | + | 0.0292326i | ||||
\(178\) | 33.3341 | + | 24.2186i | 2.49849 | + | 1.81526i | ||||
\(179\) | −8.07238 | + | 5.86492i | −0.603358 | + | 0.438365i | −0.847069 | − | 0.531483i | \(-0.821635\pi\) |
0.243711 | + | 0.969848i | \(0.421635\pi\) | |||||||
\(180\) | −3.14138 | −0.234144 | ||||||||
\(181\) | 18.6032 | 1.38276 | 0.691381 | − | 0.722490i | \(-0.257003\pi\) | ||||
0.691381 | + | 0.722490i | \(0.257003\pi\) | |||||||
\(182\) | 13.7956 | − | 10.0231i | 1.02260 | − | 0.742963i | ||||
\(183\) | −2.24302 | + | 6.90331i | −0.165809 | + | 0.510307i | ||||
\(184\) | −1.45108 | − | 4.46598i | −0.106975 | − | 0.329236i | ||||
\(185\) | −4.71192 | −0.346427 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 3.69497 | 0.270203 | ||||||||
\(188\) | −10.8831 | − | 33.4946i | −0.793728 | − | 2.44284i | ||||
\(189\) | −3.01864 | + | 9.29042i | −0.219574 | + | 0.675778i | ||||
\(190\) | −3.39980 | + | 2.47010i | −0.246647 | + | 0.179200i | ||||
\(191\) | 1.19812 | 0.0866928 | 0.0433464 | − | 0.999060i | \(-0.486198\pi\) | ||||
0.0433464 | + | 0.999060i | \(0.486198\pi\) | |||||||
\(192\) | −29.7682 | −2.14834 | ||||||||
\(193\) | −10.2960 | + | 7.48048i | −0.741122 | + | 0.538457i | −0.893062 | − | 0.449933i | \(-0.851448\pi\) |
0.151940 | + | 0.988390i | \(0.451448\pi\) | |||||||
\(194\) | −2.78398 | − | 2.02268i | −0.199878 | − | 0.145220i | ||||
\(195\) | −2.56397 | − | 1.86283i | −0.183610 | − | 0.133400i | ||||
\(196\) | −6.50216 | − | 20.0116i | −0.464440 | − | 1.42940i | ||||
\(197\) | −2.40164 | + | 1.74490i | −0.171110 | + | 0.124319i | −0.670044 | − | 0.742321i | \(-0.733725\pi\) |
0.498934 | + | 0.866640i | \(0.333725\pi\) | |||||||
\(198\) | 1.09618 | + | 3.37371i | 0.0779024 | + | 0.239759i | ||||
\(199\) | 4.07410 | − | 12.5388i | 0.288805 | − | 0.888851i | −0.696427 | − | 0.717627i | \(-0.745228\pi\) |
0.985232 | − | 0.171223i | \(-0.0547719\pi\) | |||||||
\(200\) | −32.6165 | − | 23.6973i | −2.30634 | − | 1.67565i | ||||
\(201\) | −3.63926 | + | 11.2005i | −0.256694 | + | 0.790021i | ||||
\(202\) | −6.75039 | + | 20.7755i | −0.474955 | + | 1.46176i | ||||
\(203\) | 11.3594 | + | 8.25311i | 0.797275 | + | 0.579255i | ||||
\(204\) | −6.34519 | + | 19.5285i | −0.444252 | + | 1.36727i | ||||
\(205\) | −0.0195618 | − | 0.0602052i | −0.00136626 | − | 0.00420491i | ||||
\(206\) | 32.9776 | − | 23.9597i | 2.29766 | − | 1.66935i | ||||
\(207\) | −0.164303 | − | 0.505673i | −0.0114199 | − | 0.0351467i | ||||
\(208\) | 38.4616 | + | 27.9440i | 2.66683 | + | 1.93757i | ||||
\(209\) | 2.77816 | + | 2.01845i | 0.192169 | + | 0.139619i | ||||
\(210\) | 3.24494 | − | 2.35759i | 0.223922 | − | 0.162689i | ||||
\(211\) | 18.3323 | 1.26205 | 0.631023 | − | 0.775764i | \(-0.282635\pi\) | ||||
0.631023 | + | 0.775764i | \(0.282635\pi\) | |||||||
\(212\) | −14.6569 | −1.00664 | ||||||||
\(213\) | 5.46361 | − | 3.96954i | 0.374360 | − | 0.271989i | ||||
\(214\) | 10.2879 | − | 31.6629i | 0.703266 | − | 2.16443i | ||||
\(215\) | 0.564887 | + | 1.73854i | 0.0385250 | + | 0.118568i | ||||
\(216\) | −49.2582 | −3.35160 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −19.3949 | −1.31359 | ||||||||
\(219\) | 3.29181 | + | 10.1311i | 0.222440 | + | 0.684599i | ||||
\(220\) | 1.31673 | − | 4.05247i | 0.0887738 | − | 0.273218i | ||||
\(221\) | 8.20455 | − | 5.96096i | 0.551898 | − | 0.400977i | ||||
\(222\) | −29.5686 | −1.98451 | ||||||||
\(223\) | −9.39601 | −0.629203 | −0.314602 | − | 0.949224i | \(-0.601871\pi\) | ||||
−0.314602 | + | 0.949224i | \(0.601871\pi\) | |||||||
\(224\) | −24.3457 | + | 17.6882i | −1.62666 | + | 1.18184i | ||||
\(225\) | −3.69310 | − | 2.68320i | −0.246207 | − | 0.178880i | ||||
\(226\) | 36.2842 | + | 26.3620i | 2.41359 | + | 1.75358i | ||||
\(227\) | 2.61411 | + | 8.04539i | 0.173504 | + | 0.533991i | 0.999562 | − | 0.0295943i | \(-0.00942154\pi\) |
−0.826058 | + | 0.563585i | \(0.809422\pi\) | |||||||
\(228\) | −15.4386 | + | 11.2168i | −1.02245 | + | 0.742851i | ||||
\(229\) | −7.05901 | − | 21.7254i | −0.466473 | − | 1.43565i | −0.857121 | − | 0.515115i | \(-0.827749\pi\) |
0.390649 | − | 0.920540i | \(-0.372251\pi\) | |||||||
\(230\) | −0.272732 | + | 0.839383i | −0.0179834 | + | 0.0553473i | ||||
\(231\) | −2.65162 | − | 1.92651i | −0.174464 | − | 0.126755i | ||||
\(232\) | −21.8792 | + | 67.3372i | −1.43644 | + | 4.42090i | ||||
\(233\) | 5.02260 | − | 15.4580i | 0.329042 | − | 1.01269i | −0.640542 | − | 0.767923i | \(-0.721290\pi\) |
0.969583 | − | 0.244762i | \(-0.0787099\pi\) | |||||||
\(234\) | 7.87671 | + | 5.72276i | 0.514917 | + | 0.374109i | ||||
\(235\) | −1.26430 | + | 3.89112i | −0.0824740 | + | 0.253829i | ||||
\(236\) | 0.754505 | + | 2.32213i | 0.0491141 | + | 0.151158i | ||||
\(237\) | 11.1356 | − | 8.09052i | 0.723338 | − | 0.525536i | ||||
\(238\) | 3.96620 | + | 12.2067i | 0.257090 | + | 0.791243i | ||||
\(239\) | 14.7832 | + | 10.7406i | 0.956243 | + | 0.694751i | 0.952275 | − | 0.305241i | \(-0.0987369\pi\) |
0.00396806 | + | 0.999992i | \(0.498737\pi\) | |||||||
\(240\) | 9.04675 | + | 6.57285i | 0.583965 | + | 0.424275i | ||||
\(241\) | −14.7011 | + | 10.6810i | −0.946981 | + | 0.688022i | −0.950091 | − | 0.311974i | \(-0.899010\pi\) |
0.00311025 | + | 0.999995i | \(0.499010\pi\) | |||||||
\(242\) | 24.7800 | 1.59292 | ||||||||
\(243\) | −9.77517 | −0.627078 | ||||||||
\(244\) | −21.6697 | + | 15.7440i | −1.38726 | + | 1.00790i | ||||
\(245\) | −0.755367 | + | 2.32478i | −0.0482586 | + | 0.148525i | ||||
\(246\) | −0.122756 | − | 0.377804i | −0.00782663 | − | 0.0240879i | ||||
\(247\) | 9.42508 | 0.599704 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −23.6782 | −1.50054 | ||||||||
\(250\) | 4.87032 | + | 14.9893i | 0.308026 | + | 0.948007i | ||||
\(251\) | 7.08583 | − | 21.8079i | 0.447253 | − | 1.37650i | −0.432740 | − | 0.901519i | \(-0.642453\pi\) |
0.879994 | − | 0.474986i | \(-0.157547\pi\) | |||||||
\(252\) | −7.21376 | + | 5.24111i | −0.454424 | + | 0.330159i | ||||
\(253\) | 0.721203 | 0.0453417 | ||||||||
\(254\) | −34.7284 | −2.17905 | ||||||||
\(255\) | 1.92984 | − | 1.40211i | 0.120851 | − | 0.0878034i | ||||
\(256\) | −13.0179 | − | 9.45807i | −0.813620 | − | 0.591129i | ||||
\(257\) | −0.0859120 | − | 0.0624187i | −0.00535904 | − | 0.00389357i | 0.585103 | − | 0.810959i | \(-0.301054\pi\) |
−0.590462 | + | 0.807066i | \(0.701054\pi\) | |||||||
\(258\) | 3.54482 | + | 10.9098i | 0.220691 | + | 0.679216i | ||||
\(259\) | −10.8203 | + | 7.86142i | −0.672341 | + | 0.488485i | ||||
\(260\) | −3.61395 | − | 11.1226i | −0.224128 | − | 0.689794i | ||||
\(261\) | −2.47733 | + | 7.62444i | −0.153343 | + | 0.471941i | ||||
\(262\) | −5.30555 | − | 3.85471i | −0.327778 | − | 0.238145i | ||||
\(263\) | 2.25499 | − | 6.94015i | 0.139049 | − | 0.427948i | −0.857149 | − | 0.515068i | \(-0.827766\pi\) |
0.996198 | + | 0.0871204i | \(0.0277665\pi\) | |||||||
\(264\) | 5.10723 | − | 15.7184i | 0.314328 | − | 0.967403i | ||||
\(265\) | 1.37752 | + | 1.00083i | 0.0846205 | + | 0.0614804i | ||||
\(266\) | −3.68606 | + | 11.3445i | −0.226007 | + | 0.695577i | ||||
\(267\) | −6.71689 | − | 20.6725i | −0.411067 | − | 1.26513i | ||||
\(268\) | −35.1587 | + | 25.5443i | −2.14766 | + | 1.56037i | ||||
\(269\) | −5.01206 | − | 15.4255i | −0.305591 | − | 0.940511i | −0.979456 | − | 0.201657i | \(-0.935367\pi\) |
0.673866 | − | 0.738854i | \(-0.264633\pi\) | |||||||
\(270\) | 7.48996 | + | 5.44178i | 0.455825 | + | 0.331176i | ||||
\(271\) | −4.16291 | − | 3.02453i | −0.252879 | − | 0.183727i | 0.454123 | − | 0.890939i | \(-0.349953\pi\) |
−0.707002 | + | 0.707212i | \(0.749953\pi\) | |||||||
\(272\) | −28.9491 | + | 21.0327i | −1.75530 | + | 1.27530i | ||||
\(273\) | −8.99579 | −0.544450 | ||||||||
\(274\) | 21.9082 | 1.32352 | ||||||||
\(275\) | 5.00939 | − | 3.63954i | 0.302078 | − | 0.219472i | ||||
\(276\) | −1.23849 | + | 3.81167i | −0.0745481 | + | 0.229435i | ||||
\(277\) | 5.22944 | + | 16.0946i | 0.314207 | + | 0.967029i | 0.976080 | + | 0.217413i | \(0.0697618\pi\) |
−0.661873 | + | 0.749616i | \(0.730238\pi\) | |||||||
\(278\) | −3.64076 | −0.218358 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 9.14853 | 0.546729 | ||||||||
\(281\) | 0.589193 | + | 1.81335i | 0.0351483 | + | 0.108175i | 0.967091 | − | 0.254429i | \(-0.0818876\pi\) |
−0.931943 | + | 0.362605i | \(0.881888\pi\) | |||||||
\(282\) | −7.93384 | + | 24.4178i | −0.472453 | + | 1.45406i | ||||
\(283\) | 12.3859 | − | 8.99888i | 0.736265 | − | 0.534928i | −0.155274 | − | 0.987871i | \(-0.549626\pi\) |
0.891539 | + | 0.452944i | \(0.149626\pi\) | |||||||
\(284\) | 24.9211 | 1.47879 | ||||||||
\(285\) | 2.21692 | 0.131319 | ||||||||
\(286\) | −10.6841 | + | 7.76247i | −0.631765 | + | 0.459004i | ||||
\(287\) | −0.145368 | − | 0.105616i | −0.00858081 | − | 0.00623433i | ||||
\(288\) | −13.9003 | − | 10.0992i | −0.819084 | − | 0.595100i | ||||
\(289\) | −2.89451 | − | 8.90838i | −0.170265 | − | 0.524023i | ||||
\(290\) | 10.7659 | − | 7.82187i | 0.632194 | − | 0.459316i | ||||
\(291\) | 0.560978 | + | 1.72651i | 0.0328851 | + | 0.101210i | ||||
\(292\) | −12.1473 | + | 37.3855i | −0.710866 | + | 2.18782i | ||||
\(293\) | −21.6765 | − | 15.7489i | −1.26636 | − | 0.920062i | −0.267305 | − | 0.963612i | \(-0.586133\pi\) |
−0.999051 | + | 0.0435500i | \(0.986133\pi\) | |||||||
\(294\) | −4.74013 | + | 14.5886i | −0.276450 | + | 0.850826i | ||||
\(295\) | 0.0876522 | − | 0.269766i | 0.00510331 | − | 0.0157064i | ||||
\(296\) | −54.5619 | − | 39.6415i | −3.17135 | − | 2.30412i | ||||
\(297\) | 2.33780 | − | 7.19502i | 0.135653 | − | 0.417498i | ||||
\(298\) | 7.48493 | + | 23.0363i | 0.433591 | + | 1.33445i | ||||
\(299\) | 1.60140 | − | 1.16349i | 0.0926116 | − | 0.0672863i | ||||
\(300\) | 10.6331 | + | 32.7254i | 0.613904 | + | 1.88940i | ||||
\(301\) | 4.19779 | + | 3.04988i | 0.241957 | + | 0.175792i | ||||
\(302\) | 6.98272 | + | 5.07324i | 0.401810 | + | 0.291932i | ||||
\(303\) | 9.32307 | − | 6.77361i | 0.535597 | − | 0.389134i | ||||
\(304\) | −33.2556 | −1.90734 | ||||||||
\(305\) | 3.11169 | 0.178175 | ||||||||
\(306\) | −5.92860 | + | 4.30738i | −0.338916 | + | 0.246237i | ||||
\(307\) | 2.76609 | − | 8.51316i | 0.157869 | − | 0.485871i | −0.840571 | − | 0.541701i | \(-0.817780\pi\) |
0.998440 | + | 0.0558298i | \(0.0177804\pi\) | |||||||
\(308\) | −3.73749 | − | 11.5028i | −0.212963 | − | 0.655434i | ||||
\(309\) | −21.5039 | −1.22331 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 20.6556 | 1.17127 | 0.585637 | − | 0.810574i | \(-0.300844\pi\) | ||||
0.585637 | + | 0.810574i | \(0.300844\pi\) | |||||||
\(312\) | −14.0175 | − | 43.1415i | −0.793586 | − | 2.44241i | ||||
\(313\) | −0.139466 | + | 0.429232i | −0.00788307 | + | 0.0242616i | −0.954921 | − | 0.296861i | \(-0.904060\pi\) |
0.947038 | + | 0.321123i | \(0.104060\pi\) | |||||||
\(314\) | −7.24032 | + | 5.26040i | −0.408595 | + | 0.296862i | ||||
\(315\) | 1.03587 | 0.0583646 | ||||||||
\(316\) | 50.7928 | 2.85732 | ||||||||
\(317\) | 4.51500 | − | 3.28034i | 0.253588 | − | 0.184242i | −0.453728 | − | 0.891140i | \(-0.649906\pi\) |
0.707315 | + | 0.706898i | \(0.249906\pi\) | |||||||
\(318\) | 8.64432 | + | 6.28047i | 0.484750 | + | 0.352191i | ||||
\(319\) | −8.79738 | − | 6.39167i | −0.492559 | − | 0.357865i | ||||
\(320\) | 3.94348 | + | 12.1368i | 0.220447 | + | 0.678467i | ||||
\(321\) | −14.2088 | + | 10.3233i | −0.793057 | + | 0.576190i | ||||
\(322\) | 0.774142 | + | 2.38256i | 0.0431412 | + | 0.132775i | ||||
\(323\) | −2.19218 | + | 6.74682i | −0.121976 | + | 0.375403i | ||||
\(324\) | 21.4802 | + | 15.6063i | 1.19334 | + | 0.867014i | ||||
\(325\) | 5.25165 | − | 16.1629i | 0.291309 | − | 0.896557i | ||||
\(326\) | −1.44676 | + | 4.45266i | −0.0801284 | + | 0.246610i | ||||
\(327\) | 8.27752 | + | 6.01397i | 0.457748 | + | 0.332573i | ||||
\(328\) | 0.279991 | − | 0.861723i | 0.0154599 | − | 0.0475807i | ||||
\(329\) | 3.58868 | + | 11.0448i | 0.197851 | + | 0.608922i | ||||
\(330\) | −2.51307 | + | 1.82585i | −0.138340 | + | 0.100510i | ||||
\(331\) | −7.47990 | − | 23.0208i | −0.411132 | − | 1.26534i | −0.915665 | − | 0.401943i | \(-0.868335\pi\) |
0.504533 | − | 0.863393i | \(-0.331665\pi\) | |||||||
\(332\) | −70.6888 | − | 51.3584i | −3.87955 | − | 2.81866i | ||||
\(333\) | −6.17793 | − | 4.48853i | −0.338548 | − | 0.245970i | ||||
\(334\) | 30.5052 | − | 22.1633i | 1.66917 | − | 1.21272i | ||||
\(335\) | 5.04865 | 0.275837 | ||||||||
\(336\) | 31.7409 | 1.73161 | ||||||||
\(337\) | 8.92830 | − | 6.48679i | 0.486355 | − | 0.353358i | −0.317426 | − | 0.948283i | \(-0.602818\pi\) |
0.803781 | + | 0.594925i | \(0.202818\pi\) | |||||||
\(338\) | −0.393857 | + | 1.21217i | −0.0214230 | + | 0.0659331i | ||||
\(339\) | −7.31135 | − | 22.5020i | −0.397098 | − | 1.22214i | ||||
\(340\) | 8.80253 | 0.477384 | ||||||||
\(341\) | 0 | 0 | ||||||||
\(342\) | −6.81056 | −0.368273 | ||||||||
\(343\) | 5.87953 | + | 18.0953i | 0.317465 | + | 0.977056i | ||||
\(344\) | −8.08529 | + | 24.8840i | −0.435930 | + | 1.34165i | ||||
\(345\) | 0.376675 | − | 0.273670i | 0.0202795 | − | 0.0147339i | ||||
\(346\) | 0.0322304 | 0.00173272 | ||||||||
\(347\) | 18.5674 | 0.996749 | 0.498375 | − | 0.866962i | \(-0.333930\pi\) | ||||
0.498375 | + | 0.866962i | \(0.333930\pi\) | |||||||
\(348\) | 48.8883 | − | 35.5194i | 2.62069 | − | 1.90404i | ||||
\(349\) | 26.0298 | + | 18.9118i | 1.39334 | + | 1.01232i | 0.995489 | + | 0.0948756i | \(0.0302453\pi\) |
0.397855 | + | 0.917448i | \(0.369755\pi\) | |||||||
\(350\) | 17.4007 | + | 12.6423i | 0.930104 | + | 0.675760i | ||||
\(351\) | −6.41644 | − | 19.7478i | −0.342484 | − | 1.05406i | ||||
\(352\) | 18.8547 | − | 13.6987i | 1.00496 | − | 0.730144i | ||||
\(353\) | −9.95448 | − | 30.6367i | −0.529824 | − | 1.63063i | −0.754575 | − | 0.656213i | \(-0.772157\pi\) |
0.224752 | − | 0.974416i | \(-0.427843\pi\) | |||||||
\(354\) | 0.550041 | − | 1.69285i | 0.0292343 | − | 0.0899741i | ||||
\(355\) | −2.34220 | − | 1.70171i | −0.124311 | − | 0.0903174i | ||||
\(356\) | 24.7864 | − | 76.2846i | 1.31367 | − | 4.04307i | ||||
\(357\) | 2.09233 | − | 6.43952i | 0.110738 | − | 0.340815i | ||||
\(358\) | 21.7159 | + | 15.7776i | 1.14772 | + | 0.833870i | ||||
\(359\) | 6.53950 | − | 20.1265i | 0.345142 | − | 1.06224i | −0.616367 | − | 0.787459i | \(-0.711396\pi\) |
0.961508 | − | 0.274777i | \(-0.0886040\pi\) | |||||||
\(360\) | 1.61412 | + | 4.96776i | 0.0850717 | + | 0.261824i | ||||
\(361\) | 10.0375 | − | 7.29267i | 0.528289 | − | 0.383825i | ||||
\(362\) | −15.4649 | − | 47.5960i | −0.812816 | − | 2.50159i | ||||
\(363\) | −10.5758 | − | 7.68380i | −0.555088 | − | 0.403295i | ||||
\(364\) | −26.8560 | − | 19.5120i | −1.40764 | − | 1.02271i | ||||
\(365\) | 3.69449 | − | 2.68421i | 0.193379 | − | 0.140498i | ||||
\(366\) | 19.5267 | 1.02068 | ||||||||
\(367\) | −12.9964 | −0.678408 | −0.339204 | − | 0.940713i | \(-0.610158\pi\) | ||||
−0.339204 | + | 0.940713i | \(0.610158\pi\) | |||||||
\(368\) | −5.65042 | + | 4.10527i | −0.294549 | + | 0.214002i | ||||
\(369\) | 0.0317028 | − | 0.0975711i | 0.00165038 | − | 0.00507935i | ||||
\(370\) | 3.91704 | + | 12.0554i | 0.203637 | + | 0.626730i | ||||
\(371\) | 4.83309 | 0.250922 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −4.42592 | −0.229166 | −0.114583 | − | 0.993414i | \(-0.536553\pi\) | ||||
−0.114583 | + | 0.993414i | \(0.536553\pi\) | |||||||
\(374\) | −3.07165 | − | 9.45355i | −0.158831 | − | 0.488832i | ||||
\(375\) | 2.56929 | − | 7.90746i | 0.132678 | − | 0.408339i | ||||
\(376\) | −47.3762 | + | 34.4208i | −2.44324 | + | 1.77512i | ||||
\(377\) | −29.8457 | −1.53713 | ||||||||
\(378\) | 26.2788 | 1.35164 | ||||||||
\(379\) | 12.0994 | − | 8.79076i | 0.621507 | − | 0.451551i | −0.231941 | − | 0.972730i | \(-0.574508\pi\) |
0.853448 | + | 0.521179i | \(0.174508\pi\) | |||||||
\(380\) | 6.61840 | + | 4.80855i | 0.339517 | + | 0.246673i | ||||
\(381\) | 14.8217 | + | 10.7686i | 0.759338 | + | 0.551691i | ||||
\(382\) | −0.996000 | − | 3.06537i | −0.0509598 | − | 0.156838i | ||||
\(383\) | −9.42533 | + | 6.84790i | −0.481612 | + | 0.349911i | −0.801949 | − | 0.597392i | \(-0.796204\pi\) |
0.320338 | + | 0.947303i | \(0.396204\pi\) | |||||||
\(384\) | 9.46206 | + | 29.1212i | 0.482859 | + | 1.48609i | ||||
\(385\) | −0.434191 | + | 1.33630i | −0.0221284 | + | 0.0681043i | ||||
\(386\) | 27.6978 | + | 20.1237i | 1.40978 | + | 1.02427i | ||||
\(387\) | −0.915480 | + | 2.81756i | −0.0465365 | + | 0.143225i | ||||
\(388\) | −2.07009 | + | 6.37110i | −0.105093 | + | 0.323443i | ||||
\(389\) | 11.6514 | + | 8.46524i | 0.590750 | + | 0.429205i | 0.842584 | − | 0.538566i | \(-0.181034\pi\) |
−0.251834 | + | 0.967771i | \(0.581034\pi\) | |||||||
\(390\) | −2.63460 | + | 8.10847i | −0.133408 | + | 0.410588i | ||||
\(391\) | 0.460398 | + | 1.41696i | 0.0232833 | + | 0.0716587i | ||||
\(392\) | −28.3053 | + | 20.5650i | −1.42963 | + | 1.03869i | ||||
\(393\) | 1.06908 | + | 3.29029i | 0.0539280 | + | 0.165973i | ||||
\(394\) | 6.46080 | + | 4.69404i | 0.325490 | + | 0.236483i | ||||
\(395\) | −4.77376 | − | 3.46834i | −0.240194 | − | 0.174511i | ||||
\(396\) | 5.58674 | − | 4.05901i | 0.280744 | − | 0.203973i | ||||
\(397\) | 15.7901 | 0.792484 | 0.396242 | − | 0.918146i | \(-0.370314\pi\) | ||||
0.396242 | + | 0.918146i | \(0.370314\pi\) | |||||||
\(398\) | −35.4672 | −1.77781 | ||||||||
\(399\) | 5.09088 | − | 3.69874i | 0.254863 | − | 0.185169i | ||||
\(400\) | −18.5300 | + | 57.0295i | −0.926500 | + | 2.85148i | ||||
\(401\) | −9.58670 | − | 29.5048i | −0.478737 | − | 1.47340i | −0.840851 | − | 0.541267i | \(-0.817945\pi\) |
0.362114 | − | 0.932134i | \(-0.382055\pi\) | |||||||
\(402\) | 31.6817 | 1.58014 | ||||||||
\(403\) | 0 | 0 | ||||||||
\(404\) | 42.5252 | 2.11571 | ||||||||
\(405\) | −0.953153 | − | 2.93350i | −0.0473626 | − | 0.145767i | ||||
\(406\) | 11.6724 | − | 35.9238i | 0.579289 | − | 1.78287i | ||||
\(407\) | 8.37986 | − | 6.08832i | 0.415374 | − | 0.301787i | ||||
\(408\) | 34.1426 | 1.69031 | ||||||||
\(409\) | −6.58582 | −0.325648 | −0.162824 | − | 0.986655i | \(-0.552060\pi\) | ||||
−0.162824 | + | 0.986655i | \(0.552060\pi\) | |||||||
\(410\) | −0.137772 | + | 0.100098i | −0.00680410 | + | 0.00494347i | ||||
\(411\) | −9.35015 | − | 6.79328i | −0.461209 | − | 0.335088i | ||||
\(412\) | −64.1977 | − | 46.6424i | −3.16279 | − | 2.29790i | ||||
\(413\) | −0.248798 | − | 0.765722i | −0.0122425 | − | 0.0376787i | ||||
\(414\) | −1.15717 | + | 0.840736i | −0.0568720 | + | 0.0413199i | ||||
\(415\) | 3.13672 | + | 9.65382i | 0.153975 | + | 0.473888i | ||||
\(416\) | 19.7665 | − | 60.8350i | 0.969131 | − | 2.98268i | ||||
\(417\) | 1.55383 | + | 1.12893i | 0.0760916 | + | 0.0552838i | ||||
\(418\) | 2.85469 | − | 8.78583i | 0.139627 | − | 0.429729i | ||||
\(419\) | −4.53389 | + | 13.9539i | −0.221495 | + | 0.681692i | 0.777133 | + | 0.629336i | \(0.216673\pi\) |
−0.998628 | + | 0.0523559i | \(0.983327\pi\) | |||||||
\(420\) | −6.31695 | − | 4.58953i | −0.308235 | − | 0.223946i | ||||
\(421\) | −8.25566 | + | 25.4083i | −0.402356 | + | 1.23832i | 0.520727 | + | 0.853723i | \(0.325661\pi\) |
−0.923083 | + | 0.384601i | \(0.874339\pi\) | |||||||
\(422\) | −15.2397 | − | 46.9030i | −0.741857 | − | 2.28320i | ||||
\(423\) | −5.36431 | + | 3.89740i | −0.260822 | + | 0.189498i | ||||
\(424\) | 7.53108 | + | 23.1783i | 0.365742 | + | 1.12564i | ||||
\(425\) | 10.3485 | + | 7.51865i | 0.501978 | + | 0.364708i | ||||
\(426\) | −14.6980 | − | 10.6787i | −0.712118 | − | 0.517384i | ||||
\(427\) | 7.14559 | − | 5.19157i | 0.345799 | − | 0.251238i | ||||
\(428\) | −64.8103 | −3.13272 | ||||||||
\(429\) | 6.96685 | 0.336363 | ||||||||
\(430\) | 3.97845 | − | 2.89052i | 0.191858 | − | 0.139393i | ||||
\(431\) | 1.23236 | − | 3.79282i | 0.0593608 | − | 0.182694i | −0.916979 | − | 0.398935i | \(-0.869380\pi\) |
0.976340 | + | 0.216241i | \(0.0693798\pi\) | |||||||
\(432\) | 22.6399 | + | 69.6783i | 1.08926 | + | 3.35240i | ||||
\(433\) | −18.0766 | −0.868704 | −0.434352 | − | 0.900743i | \(-0.643023\pi\) | ||||
−0.434352 | + | 0.900743i | \(0.643023\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −7.02016 | −0.336591 | ||||||||
\(436\) | 11.6673 | + | 35.9082i | 0.558762 | + | 1.71969i | ||||
\(437\) | −0.427880 | + | 1.31688i | −0.0204683 | + | 0.0629948i | ||||
\(438\) | 23.1839 | − | 16.8441i | 1.10777 | − | 0.804843i | ||||
\(439\) | 22.9086 | 1.09337 | 0.546684 | − | 0.837339i | \(-0.315890\pi\) | ||||
0.546684 | + | 0.837339i | \(0.315890\pi\) | |||||||
\(440\) | −7.08513 | −0.337771 | ||||||||
\(441\) | −3.20494 | + | 2.32853i | −0.152616 | + | 0.110882i | ||||
\(442\) | −22.0715 | − | 16.0359i | −1.04984 | − | 0.762750i | ||||
\(443\) | 17.3868 | + | 12.6323i | 0.826074 | + | 0.600178i | 0.918446 | − | 0.395547i | \(-0.129445\pi\) |
−0.0923721 | + | 0.995725i | \(0.529445\pi\) | |||||||
\(444\) | 17.7874 | + | 54.7440i | 0.844153 | + | 2.59803i | ||||
\(445\) | −7.53856 | + | 5.47708i | −0.357362 | + | 0.259639i | ||||
\(446\) | 7.81094 | + | 24.0396i | 0.369859 | + | 1.13831i | ||||
\(447\) | 3.94860 | − | 12.1525i | 0.186762 | − | 0.574796i | ||||
\(448\) | 29.3049 | + | 21.2912i | 1.38452 | + | 1.00592i | ||||
\(449\) | −5.80940 | + | 17.8795i | −0.274163 | + | 0.843786i | 0.715277 | + | 0.698841i | \(0.246300\pi\) |
−0.989440 | + | 0.144945i | \(0.953700\pi\) | |||||||
\(450\) | −3.79484 | + | 11.6793i | −0.178890 | + | 0.550568i | ||||
\(451\) | 0.112581 | + | 0.0817951i | 0.00530125 | + | 0.00385158i | ||||
\(452\) | 26.9800 | − | 83.0359i | 1.26903 | − | 3.90568i | ||||
\(453\) | −1.40703 | − | 4.33041i | −0.0661082 | − | 0.203460i | ||||
\(454\) | 18.4109 | − | 13.3763i | 0.864068 | − | 0.627782i | ||||
\(455\) | 1.19170 | + | 3.66767i | 0.0558677 | + | 0.171943i | ||||
\(456\) | 25.6710 | + | 18.6511i | 1.20215 | + | 0.873416i | ||||
\(457\) | 3.32182 | + | 2.41344i | 0.155388 | + | 0.112896i | 0.662763 | − | 0.748830i | \(-0.269384\pi\) |
−0.507374 | + | 0.861726i | \(0.669384\pi\) | |||||||
\(458\) | −49.7160 | + | 36.1208i | −2.32308 | + | 1.68781i | ||||
\(459\) | 15.6286 | 0.729480 | ||||||||
\(460\) | 1.71812 | 0.0801078 | ||||||||
\(461\) | −18.5063 | + | 13.4456i | −0.861924 | + | 0.626225i | −0.928408 | − | 0.371563i | \(-0.878822\pi\) |
0.0664836 | + | 0.997788i | \(0.478822\pi\) | |||||||
\(462\) | −2.72467 | + | 8.38566i | −0.126763 | + | 0.390136i | ||||
\(463\) | 5.11947 | + | 15.7561i | 0.237922 | + | 0.732249i | 0.996720 | + | 0.0809233i | \(0.0257869\pi\) |
−0.758798 | + | 0.651326i | \(0.774213\pi\) | |||||||
\(464\) | 105.308 | 4.88880 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −43.7244 | −2.02549 | ||||||||
\(467\) | 11.7878 | + | 36.2792i | 0.545476 | + | 1.67880i | 0.719855 | + | 0.694124i | \(0.244208\pi\) |
−0.174379 | + | 0.984679i | \(0.555792\pi\) | |||||||
\(468\) | 5.85692 | − | 18.0258i | 0.270736 | − | 0.833241i | ||||
\(469\) | 11.5936 | − | 8.42323i | 0.535342 | − | 0.388949i | ||||
\(470\) | 11.0064 | 0.507688 | ||||||||
\(471\) | 4.72123 | 0.217543 | ||||||||
\(472\) | 3.28452 | − | 2.38634i | 0.151182 | − | 0.109840i | ||||
\(473\) | −3.25101 | − | 2.36200i | −0.149482 | − | 0.108605i | ||||
\(474\) | −29.9566 | − | 21.7648i | −1.37595 | − | 0.999688i | ||||
\(475\) | 3.67360 | + | 11.3062i | 0.168556 | + | 0.518763i | ||||
\(476\) | 20.2139 | − | 14.6862i | 0.926501 | − | 0.673142i | ||||
\(477\) | 0.852728 | + | 2.62443i | 0.0390438 | + | 0.120164i | ||||
\(478\) | 15.1904 | − | 46.7513i | 0.694793 | − | 2.13835i | ||||
\(479\) | 27.2515 | + | 19.7994i | 1.24515 | + | 0.904658i | 0.997931 | − | 0.0643004i | \(-0.0204816\pi\) |
0.247224 | + | 0.968958i | \(0.420482\pi\) | |||||||
\(480\) | 4.64938 | − | 14.3093i | 0.212214 | − | 0.653128i | ||||
\(481\) | 8.78511 | − | 27.0378i | 0.400567 | − | 1.23282i | ||||
\(482\) | 39.5482 | + | 28.7335i | 1.80137 | + | 1.30877i | ||||
\(483\) | 0.408391 | − | 1.25690i | 0.0185824 | − | 0.0571908i | ||||
\(484\) | −14.9068 | − | 45.8784i | −0.677582 | − | 2.08538i | ||||
\(485\) | 0.629601 | − | 0.457432i | 0.0285887 | − | 0.0207709i | ||||
\(486\) | 8.12614 | + | 25.0097i | 0.368609 | + | 1.13446i | ||||
\(487\) | −16.7278 | − | 12.1534i | −0.758008 | − | 0.550725i | 0.140291 | − | 0.990110i | \(-0.455196\pi\) |
−0.898299 | + | 0.439385i | \(0.855196\pi\) | |||||||
\(488\) | 36.0319 | + | 26.1787i | 1.63109 | + | 1.18506i | ||||
\(489\) | 1.99814 | − | 1.45173i | 0.0903590 | − | 0.0656497i | ||||
\(490\) | 6.57587 | 0.297067 | ||||||||
\(491\) | −24.7327 | −1.11617 | −0.558087 | − | 0.829783i | \(-0.688464\pi\) | ||||
−0.558087 | + | 0.829783i | \(0.688464\pi\) | |||||||
\(492\) | −0.625630 | + | 0.454547i | −0.0282056 | + | 0.0204925i | ||||
\(493\) | 6.94179 | − | 21.3646i | 0.312643 | − | 0.962215i | ||||
\(494\) | −7.83511 | − | 24.1140i | −0.352518 | − | 1.08494i | ||||
\(495\) | −0.802235 | −0.0360578 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −8.21771 | −0.368615 | ||||||||
\(498\) | 19.6838 | + | 60.5804i | 0.882050 | + | 2.71467i | ||||
\(499\) | 7.58951 | − | 23.3581i | 0.339753 | − | 1.04565i | −0.624580 | − | 0.780961i | \(-0.714730\pi\) |
0.964333 | − | 0.264692i | \(-0.0852702\pi\) | |||||||
\(500\) | 24.8218 | − | 18.0341i | 1.11006 | − | 0.806509i | ||||
\(501\) | −19.8917 | −0.888695 | ||||||||
\(502\) | −61.6858 | −2.75317 | ||||||||
\(503\) | −11.9242 | + | 8.66344i | −0.531674 | + | 0.386284i | −0.820984 | − | 0.570952i | \(-0.806574\pi\) |
0.289310 | + | 0.957236i | \(0.406574\pi\) | |||||||
\(504\) | 11.9949 | + | 8.71479i | 0.534295 | + | 0.388188i | ||||
\(505\) | −3.99672 | − | 2.90379i | −0.177852 | − | 0.129217i | ||||
\(506\) | −0.599539 | − | 1.84519i | −0.0266528 | − | 0.0820287i | ||||
\(507\) | 0.543962 | − | 0.395212i | 0.0241582 | − | 0.0175520i | ||||
\(508\) | 20.8914 | + | 64.2970i | 0.926905 | + | 2.85272i | ||||
\(509\) | −4.79171 | + | 14.7474i | −0.212389 | + | 0.653665i | 0.786940 | + | 0.617030i | \(0.211664\pi\) |
−0.999329 | + | 0.0366357i | \(0.988336\pi\) | |||||||
\(510\) | −5.19156 | − | 3.77189i | −0.229886 | − | 0.167022i | ||||
\(511\) | 4.00557 | − | 12.3279i | 0.177196 | − | 0.545353i | ||||
\(512\) | −0.0418393 | + | 0.128768i | −0.00184905 | + | 0.00569080i | ||||
\(513\) | 11.7507 | + | 8.53741i | 0.518808 | + | 0.376936i | ||||
\(514\) | −0.0882787 | + | 0.271694i | −0.00389381 | + | 0.0119839i | ||||
\(515\) | 2.84869 | + | 8.76735i | 0.125528 | + | 0.386336i | ||||
\(516\) | 18.0663 | − | 13.1259i | 0.795325 | − | 0.577837i | ||||
\(517\) | −2.77928 | − | 8.55374i | −0.122233 | − | 0.376193i | ||||
\(518\) | 29.1083 | + | 21.1484i | 1.27895 | + | 0.929209i | ||||
\(519\) | −0.0137556 | − | 0.00999402i | −0.000603803 | − | 0.000438689i | ||||
\(520\) | −15.7323 | + | 11.4302i | −0.689906 | + | 0.501246i | ||||
\(521\) | 29.4146 | 1.28867 | 0.644337 | − | 0.764741i | \(-0.277133\pi\) | ||||
0.644337 | + | 0.764741i | \(0.277133\pi\) | |||||||
\(522\) | 21.5665 | 0.943939 | ||||||||
\(523\) | 36.4268 | − | 26.4656i | 1.59283 | − | 1.15726i | 0.693078 | − | 0.720863i | \(-0.256254\pi\) |
0.899754 | − | 0.436397i | \(-0.143746\pi\) | |||||||
\(524\) | −3.94507 | + | 12.1417i | −0.172341 | + | 0.530412i | ||||
\(525\) | −3.50627 | − | 10.7912i | −0.153026 | − | 0.470966i | ||||
\(526\) | −19.6309 | −0.855947 | ||||||||
\(527\) | 0 | 0 | ||||||||
\(528\) | −24.5819 | −1.06979 | ||||||||
\(529\) | −7.01753 | − | 21.5977i | −0.305110 | − | 0.939032i | ||||
\(530\) | 1.41547 | − | 4.35637i | 0.0614841 | − | 0.189229i | ||||
\(531\) | 0.371899 | − | 0.270201i | 0.0161391 | − | 0.0117257i | ||||
\(532\) | 23.2209 | 1.00676 | ||||||||
\(533\) | 0.381940 | 0.0165436 | ||||||||
\(534\) | −47.3065 | + | 34.3702i | −2.04715 | + | 1.48734i | ||||
\(535\) | 6.09119 | + | 4.42551i | 0.263345 | + | 0.191331i | ||||
\(536\) | 58.4611 | + | 42.4745i | 2.52514 | + | 1.83462i | ||||
\(537\) | −4.37581 | − | 13.4674i | −0.188830 | − | 0.581160i | ||||
\(538\) | −35.2995 | + | 25.6466i | −1.52187 | + | 1.10570i | ||||
\(539\) | −1.66050 | − | 5.11050i | −0.0715228 | − | 0.220125i | ||||
\(540\) | 5.56935 | − | 17.1407i | 0.239667 | − | 0.737618i | ||||
\(541\) | −30.5636 | − | 22.2058i | −1.31403 | − | 0.954701i | −0.999986 | − | 0.00529319i | \(-0.998315\pi\) |
−0.314047 | − | 0.949408i | \(-0.601685\pi\) | |||||||
\(542\) | −4.27759 | + | 13.1651i | −0.183738 | + | 0.565488i | ||||
\(543\) | −8.15834 | + | 25.1088i | −0.350108 | + | 1.07752i | ||||
\(544\) | 38.9504 | + | 28.2992i | 1.66999 | + | 1.21332i | ||||
\(545\) | 1.35541 | − | 4.17152i | 0.0580593 | − | 0.178688i | ||||
\(546\) | 7.47823 | + | 23.0156i | 0.320039 | + | 0.984978i | ||||
\(547\) | 14.7312 | − | 10.7028i | 0.629860 | − | 0.457620i | −0.226491 | − | 0.974013i | \(-0.572726\pi\) |
0.856352 | + | 0.516393i | \(0.172726\pi\) | |||||||
\(548\) | −13.1792 | − | 40.5613i | −0.562986 | − | 1.73269i | ||||
\(549\) | 4.07982 | + | 2.96416i | 0.174122 | + | 0.126507i | ||||
\(550\) | −13.4761 | − | 9.79092i | −0.574621 | − | 0.417486i | ||||
\(551\) | 16.8902 | − | 12.2715i | 0.719547 | − | 0.522782i | ||||
\(552\) | 6.66412 | 0.283644 | ||||||||
\(553\) | −16.7489 | −0.712237 | ||||||||
\(554\) | 36.8305 | − | 26.7590i | 1.56478 | − | 1.13688i | ||||
\(555\) | 2.06639 | − | 6.35970i | 0.0877135 | − | 0.269954i | ||||
\(556\) | 2.19015 | + | 6.74059i | 0.0928831 | + | 0.285865i | ||||
\(557\) | 9.19760 | 0.389715 | 0.194857 | − | 0.980832i | \(-0.437576\pi\) | ||||
0.194857 | + | 0.980832i | \(0.437576\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −11.0293 | −0.466488 | ||||||||
\(560\) | −4.20481 | − | 12.9411i | −0.177686 | − | 0.546860i | ||||
\(561\) | −1.62042 | + | 4.98713i | −0.0684140 | + | 0.210557i | ||||
\(562\) | 4.14964 | − | 3.01489i | 0.175042 | − | 0.127175i | ||||
\(563\) | −36.1618 | −1.52404 | −0.762019 | − | 0.647555i | \(-0.775792\pi\) | ||||
−0.762019 | + | 0.647555i | \(0.775792\pi\) | |||||||
\(564\) | 49.9805 | 2.10456 | ||||||||
\(565\) | −8.20574 | + | 5.96182i | −0.345218 | + | 0.250816i | ||||
\(566\) | −33.3200 | − | 24.2084i | −1.40054 | − | 1.01755i | ||||
\(567\) | −7.08308 | − | 5.14616i | −0.297461 | − | 0.216118i | ||||
\(568\) | −12.8051 | − | 39.4101i | −0.537290 | − | 1.65361i | ||||
\(569\) | 33.5740 | − | 24.3930i | 1.40750 | − | 1.02261i | 0.413816 | − | 0.910361i | \(-0.364196\pi\) |
0.993681 | − | 0.112245i | \(-0.0358041\pi\) | |||||||
\(570\) | −1.84294 | − | 5.67198i | −0.0771921 | − | 0.237573i | ||||
\(571\) | 10.0100 | − | 30.8077i | 0.418907 | − | 1.28926i | −0.489803 | − | 0.871833i | \(-0.662931\pi\) |
0.908710 | − | 0.417429i | \(-0.137069\pi\) | |||||||
\(572\) | 20.7988 | + | 15.1112i | 0.869642 | + | 0.631832i | ||||
\(573\) | −0.525430 | + | 1.61711i | −0.0219501 | + | 0.0675556i | ||||
\(574\) | −0.149373 | + | 0.459722i | −0.00623470 | + | 0.0191884i | ||||
\(575\) | 2.01988 | + | 1.46753i | 0.0842347 | + | 0.0612001i | ||||
\(576\) | −6.39098 | + | 19.6694i | −0.266291 | + | 0.819559i | ||||
\(577\) | 12.6643 | + | 38.9767i | 0.527222 | + | 1.62262i | 0.759880 | + | 0.650063i | \(0.225257\pi\) |
−0.232659 | + | 0.972558i | \(0.574743\pi\) | |||||||
\(578\) | −20.3858 | + | 14.8111i | −0.847937 | + | 0.616062i | ||||
\(579\) | −5.58118 | − | 17.1771i | −0.231946 | − | 0.713856i | ||||
\(580\) | −20.9580 | − | 15.2269i | −0.870233 | − | 0.632261i | ||||
\(581\) | 23.3096 | + | 16.9354i | 0.967046 | + | 0.702600i | ||||
\(582\) | 3.95092 | − | 2.87051i | 0.163771 | − | 0.118987i | ||||
\(583\) | −3.74302 | −0.155020 | ||||||||
\(584\) | 65.3629 | 2.70474 | ||||||||
\(585\) | −1.78133 | + | 1.29421i | −0.0736490 | + | 0.0535092i | ||||
\(586\) | −22.2737 | + | 68.5513i | −0.920117 | + | 2.83183i | ||||
\(587\) | −7.88963 | − | 24.2818i | −0.325640 | − | 1.00222i | −0.971151 | − | 0.238466i | \(-0.923356\pi\) |
0.645511 | − | 0.763751i | \(-0.276644\pi\) | |||||||
\(588\) | 29.8612 | 1.23146 | ||||||||
\(589\) | 0 | 0 | ||||||||
\(590\) | −0.763058 | −0.0314146 | ||||||||
\(591\) | −1.30187 | − | 4.00673i | −0.0535516 | − | 0.164815i | ||||
\(592\) | −30.9975 | + | 95.4006i | −1.27399 | + | 3.92094i | ||||
\(593\) | −36.0269 | + | 26.1751i | −1.47945 | + | 1.07488i | −0.501716 | + | 0.865033i | \(0.667298\pi\) |
−0.977734 | + | 0.209850i | \(0.932702\pi\) | |||||||
\(594\) | −20.3518 | −0.835045 | ||||||||
\(595\) | −2.90263 | −0.118996 | ||||||||
\(596\) | 38.1472 | − | 27.7156i | 1.56257 | − | 1.13527i | ||||
\(597\) | 15.1370 | + | 10.9977i | 0.619515 | + | 0.450104i | ||||
\(598\) | −4.30803 | − | 3.12997i | −0.176168 | − | 0.127994i | ||||
\(599\) | 5.86513 | + | 18.0510i | 0.239643 | + | 0.737544i | 0.996472 | + | 0.0839312i | \(0.0267476\pi\) |
−0.756829 | + | 0.653613i | \(0.773252\pi\) | |||||||
\(600\) | 46.2882 | − | 33.6304i | 1.88971 | − | 1.37295i | ||||
\(601\) | 3.96772 | + | 12.2114i | 0.161847 | + | 0.498113i | 0.998790 | − | 0.0491767i | \(-0.0156597\pi\) |
−0.836943 | + | 0.547289i | \(0.815660\pi\) | |||||||
\(602\) | 4.31343 | − | 13.2754i | 0.175802 | − | 0.541064i | ||||
\(603\) | 6.61943 | + | 4.80930i | 0.269564 | + | 0.195850i | ||||
\(604\) | 5.19217 | − | 15.9799i | 0.211267 | − | 0.650212i | ||||
\(605\) | −1.73175 | + | 5.32977i | −0.0704056 | + | 0.216686i | ||||
\(606\) | −25.0805 | − | 18.2221i | −1.01883 | − | 0.740221i | ||||
\(607\) | −11.7857 | + | 36.2726i | −0.478366 | + | 1.47226i | 0.362997 | + | 0.931790i | \(0.381754\pi\) |
−0.841363 | + | 0.540470i | \(0.818246\pi\) | |||||||
\(608\) | 13.8269 | + | 42.5548i | 0.560755 | + | 1.72583i | ||||
\(609\) | −16.1209 | + | 11.7125i | −0.653252 | + | 0.474615i | ||||
\(610\) | −2.58676 | − | 7.96122i | −0.104735 | − | 0.322340i | ||||
\(611\) | −19.9707 | − | 14.5096i | −0.807928 | − | 0.586994i | ||||
\(612\) | 11.5412 | + | 8.38520i | 0.466527 | + | 0.338952i | ||||
\(613\) | −15.0011 | + | 10.8989i | −0.605889 | + | 0.440204i | −0.847964 | − | 0.530054i | \(-0.822172\pi\) |
0.242076 | + | 0.970257i | \(0.422172\pi\) | |||||||
\(614\) | −24.0803 | −0.971801 | ||||||||
\(615\) | 0.0898380 | 0.00362262 | ||||||||
\(616\) | −16.2701 | + | 11.8209i | −0.655541 | + | 0.476278i | ||||
\(617\) | 2.51402 | − | 7.73736i | 0.101211 | − | 0.311495i | −0.887612 | − | 0.460592i | \(-0.847637\pi\) |
0.988822 | + | 0.149098i | \(0.0476370\pi\) | |||||||
\(618\) | 17.8763 | + | 55.0175i | 0.719089 | + | 2.21313i | ||||
\(619\) | 5.36063 | 0.215462 | 0.107731 | − | 0.994180i | \(-0.465641\pi\) | ||||
0.107731 | + | 0.994180i | \(0.465641\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 3.05046 | 0.122411 | ||||||||
\(622\) | −17.1711 | − | 52.8472i | −0.688499 | − | 2.11898i | ||||
\(623\) | −8.17330 | + | 25.1548i | −0.327456 | + | 1.00781i | ||||
\(624\) | −54.5833 | + | 39.6571i | −2.18508 | + | 1.58755i | ||||
\(625\) | 19.5850 | 0.783401 | ||||||||
\(626\) | 1.21412 | 0.0485261 | ||||||||
\(627\) | −3.94266 | + | 2.86451i | −0.157455 | + | 0.114398i | ||||
\(628\) | 14.0948 | + | 10.2404i | 0.562442 | + | 0.408638i | ||||
\(629\) | 17.3113 | + | 12.5774i | 0.690248 | + | 0.501494i | ||||
\(630\) | −0.861121 | − | 2.65026i | −0.0343079 | − | 0.105589i | ||||
\(631\) | 23.4995 | − | 17.0734i | 0.935501 | − | 0.679682i | −0.0118321 | − | 0.999930i | \(-0.503766\pi\) |
0.947334 | + | 0.320248i | \(0.103766\pi\) | |||||||
\(632\) | −26.0987 | − | 80.3236i | −1.03815 | − | 3.19510i | ||||
\(633\) | −8.03955 | + | 24.7432i | −0.319543 | + | 0.983453i | ||||
\(634\) | −12.1460 | − | 8.82462i | −0.482381 | − | 0.350470i | ||||
\(635\) | 2.42699 | − | 7.46949i | 0.0963120 | − | 0.296418i | ||||
\(636\) | 6.42770 | − | 19.7824i | 0.254875 | − | 0.784424i | ||||
\(637\) | −11.9316 | − | 8.66885i | −0.472749 | − | 0.343472i | ||||
\(638\) | −9.03973 | + | 27.8214i | −0.357886 | + | 1.10146i | ||||
\(639\) | −1.44989 | − | 4.46232i | −0.0573569 | − | 0.176527i | ||||
\(640\) | 10.6195 | − | 7.71555i | 0.419774 | − | 0.304984i | ||||
\(641\) | 8.53058 | + | 26.2544i | 0.336938 | + | 1.03699i | 0.965760 | + | 0.259438i | \(0.0835374\pi\) |
−0.628822 | + | 0.777549i | \(0.716463\pi\) | |||||||
\(642\) | 38.2238 | + | 27.7713i | 1.50857 | + | 1.09604i | ||||
\(643\) | −3.42136 | − | 2.48577i | −0.134925 | − | 0.0980291i | 0.518275 | − | 0.855214i | \(-0.326574\pi\) |
−0.653201 | + | 0.757185i | \(0.726574\pi\) | |||||||
\(644\) | 3.94544 | − | 2.86653i | 0.155472 | − | 0.112957i | ||||
\(645\) | −2.59425 | −0.102148 | ||||||||
\(646\) | 19.0840 | 0.750852 | ||||||||
\(647\) | −21.2617 | + | 15.4475i | −0.835883 | + | 0.607304i | −0.921217 | − | 0.389048i | \(-0.872804\pi\) |
0.0853349 | + | 0.996352i | \(0.472804\pi\) | |||||||
\(648\) | 13.6426 | − | 41.9876i | 0.535931 | − | 1.64943i | ||||
\(649\) | 0.192683 | + | 0.593018i | 0.00756348 | + | 0.0232780i | ||||
\(650\) | −45.7184 | −1.79322 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 9.11408 | 0.356935 | ||||||||
\(653\) | −4.12592 | − | 12.6983i | −0.161460 | − | 0.496922i | 0.837298 | − | 0.546746i | \(-0.184134\pi\) |
−0.998758 | + | 0.0498246i | \(0.984134\pi\) | |||||||
\(654\) | 8.50555 | − | 26.1774i | 0.332593 | − | 1.02362i | ||||
\(655\) | 1.19986 | − | 0.871749i | 0.0468824 | − | 0.0340621i | ||||
\(656\) | −1.34764 | −0.0526166 | ||||||||
\(657\) | 7.40090 | 0.288737 | ||||||||
\(658\) | 25.2748 | − | 18.3632i | 0.985315 | − | 0.715873i | ||||
\(659\) | 12.4717 | + | 9.06119i | 0.485827 | + | 0.352974i | 0.803577 | − | 0.595200i | \(-0.202927\pi\) |
−0.317750 | + | 0.948174i | \(0.602927\pi\) | |||||||
\(660\) | 4.89220 | + | 3.55439i | 0.190429 | + | 0.138354i | ||||
\(661\) | −1.45951 | − | 4.49190i | −0.0567682 | − | 0.174715i | 0.918652 | − | 0.395068i | \(-0.129279\pi\) |
−0.975420 | + | 0.220353i | \(0.929279\pi\) | |||||||
\(662\) | −52.6803 | + | 38.2745i | −2.04748 | + | 1.48758i | ||||
\(663\) | 4.44746 | + | 13.6879i | 0.172725 | + | 0.531593i | ||||
\(664\) | −44.8962 | + | 138.176i | −1.74231 | + | 5.36228i | ||||
\(665\) | −2.18242 | − | 1.58562i | −0.0846305 | − | 0.0614876i | ||||
\(666\) | −6.34812 | + | 19.5375i | −0.245984 | + | 0.757062i | ||||
\(667\) | 1.35493 | − | 4.17006i | 0.0524632 | − | 0.161465i | ||||
\(668\) | −59.3846 | − | 43.1454i | −2.29766 | − | 1.66935i | ||||
\(669\) | 4.12058 | − | 12.6818i | 0.159311 | − | 0.490309i | ||||
\(670\) | −4.19696 | − | 12.9169i | −0.162143 | − | 0.499024i | ||||
\(671\) | −5.53394 | + | 4.02065i | −0.213636 | + | 0.155215i | ||||
\(672\) | −13.1971 | − | 40.6166i | −0.509090 | − | 1.56682i | ||||
\(673\) | −25.1386 | − | 18.2643i | −0.969022 | − | 0.704035i | −0.0137932 | − | 0.999905i | \(-0.504391\pi\) |
−0.955228 | + | 0.295869i | \(0.904391\pi\) | |||||||
\(674\) | −24.0185 | − | 17.4505i | −0.925158 | − | 0.672167i | ||||
\(675\) | 21.1882 | − | 15.3941i | 0.815533 | − | 0.592519i | ||||
\(676\) | 2.48116 | 0.0954294 | ||||||||
\(677\) | 9.03995 | 0.347434 | 0.173717 | − | 0.984796i | \(-0.444422\pi\) | ||||
0.173717 | + | 0.984796i | \(0.444422\pi\) | |||||||
\(678\) | −51.4932 | + | 37.4120i | −1.97759 | + | 1.43680i | ||||
\(679\) | 0.682613 | − | 2.10087i | 0.0261963 | − | 0.0806239i | ||||
\(680\) | −4.52297 | − | 13.9203i | −0.173448 | − | 0.533818i | ||||
\(681\) | −12.0053 | −0.460044 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 7.13535 | 0.273027 | 0.136513 | − | 0.990638i | \(-0.456410\pi\) | ||||
0.136513 | + | 0.990638i | \(0.456410\pi\) | |||||||
\(684\) | 4.09699 | + | 12.6092i | 0.156652 | + | 0.482127i | ||||
\(685\) | −1.53105 | + | 4.71208i | −0.0584983 | + | 0.180039i | ||||
\(686\) | 41.4091 | − | 30.0854i | 1.58101 | − | 1.14867i | ||||
\(687\) | 32.4186 | 1.23685 | ||||||||
\(688\) | 38.9158 | 1.48365 | ||||||||
\(689\) | −8.31124 | + | 6.03847i | −0.316633 | + | 0.230047i | ||||
\(690\) | −1.01331 | − | 0.736216i | −0.0385762 | − | 0.0280273i | ||||
\(691\) | −29.5092 | − | 21.4397i | −1.12258 | − | 0.815605i | −0.137985 | − | 0.990434i | \(-0.544063\pi\) |
−0.984599 | + | 0.174829i | \(0.944063\pi\) | |||||||
\(692\) | −0.0193887 | − | 0.0596723i | −0.000737047 | − | 0.00226840i | ||||
\(693\) | −1.84223 | + | 1.33846i | −0.0699805 | + | 0.0508438i | ||||
\(694\) | −15.4351 | − | 47.5045i | −0.585910 | − | 1.80324i | ||||
\(695\) | 0.254433 | − | 0.783066i | 0.00965121 | − | 0.0297034i | ||||
\(696\) | −81.2903 | − | 59.0609i | −3.08130 | − | 2.23870i | ||||
\(697\) | −0.0888351 | + | 0.273406i | −0.00336487 | + | 0.0103560i | ||||
\(698\) | 26.7469 | − | 82.3185i | 1.01238 | − | 3.11580i | ||||
\(699\) | 18.6611 | + | 13.5581i | 0.705827 | + | 0.512813i | ||||
\(700\) | 12.9387 | − | 39.8212i | 0.489037 | − | 1.50510i | ||||
\(701\) | −0.498890 | − | 1.53542i | −0.0188428 | − | 0.0579922i | 0.941193 | − | 0.337869i | \(-0.109706\pi\) |
−0.960036 | + | 0.279877i | \(0.909706\pi\) | |||||||
\(702\) | −45.1905 | + | 32.8328i | −1.70560 | + | 1.23919i | ||||
\(703\) | 6.14530 | + | 18.9133i | 0.231774 | + | 0.713328i | ||||
\(704\) | −22.6953 | − | 16.4891i | −0.855362 | − | 0.621457i | ||||
\(705\) | −4.69742 | − | 3.41287i | −0.176915 | − | 0.128536i | ||||
\(706\) | −70.1086 | + | 50.9369i | −2.63857 | + | 1.91704i | ||||
\(707\) | −14.0227 | −0.527377 | ||||||||
\(708\) | −3.46507 | −0.130225 | ||||||||
\(709\) | 9.29395 | − | 6.75245i | 0.349042 | − | 0.253594i | −0.399425 | − | 0.916766i | \(-0.630790\pi\) |
0.748467 | + | 0.663172i | \(0.230790\pi\) | |||||||
\(710\) | −2.40672 | + | 7.40714i | −0.0903228 | + | 0.277985i | ||||
\(711\) | −2.95510 | − | 9.09487i | −0.110825 | − | 0.341084i | ||||
\(712\) | −133.372 | −4.99833 | ||||||||
\(713\) | 0 | 0 | ||||||||
\(714\) | −18.2148 | −0.681672 | ||||||||
\(715\) | −0.922919 | − | 2.84045i | −0.0345152 | − | 0.106227i | ||||
\(716\) | 16.1474 | − | 49.6967i | 0.603458 | − | 1.85725i | ||||
\(717\) | −20.9797 | + | 15.2427i | −0.783503 | + | 0.569248i | ||||
\(718\) | −56.9298 | −2.12460 | ||||||||
\(719\) | 14.1710 | 0.528489 | 0.264244 | − | 0.964456i | \(-0.414877\pi\) | ||||
0.264244 | + | 0.964456i | \(0.414877\pi\) | |||||||
\(720\) | 6.28528 | − | 4.56652i | 0.234239 | − | 0.170184i | ||||
\(721\) | 21.1692 | + | 15.3803i | 0.788382 | + | 0.572793i | ||||
\(722\) | −27.0024 | − | 19.6184i | −1.00493 | − | 0.730122i | ||||
\(723\) | −7.96906 | − | 24.5262i | −0.296372 | − | 0.912141i | ||||
\(724\) | −78.8174 | + | 57.2642i | −2.92922 | + | 2.12821i | ||||
\(725\) | −11.6329 | − | 35.8024i | −0.432035 | − | 1.32967i | ||||
\(726\) | −10.8672 | + | 33.4458i | −0.403319 | + | 1.24129i | ||||
\(727\) | 21.8012 | + | 15.8395i | 0.808561 | + | 0.587454i | 0.913413 | − | 0.407034i | \(-0.133437\pi\) |
−0.104852 | + | 0.994488i | \(0.533437\pi\) | |||||||
\(728\) | −17.0569 | + | 52.4958i | −0.632172 | + | 1.94562i | ||||
\(729\) | 8.98695 | − | 27.6590i | 0.332850 | − | 1.02441i | ||||
\(730\) | −9.93876 | − | 7.22093i | −0.367850 | − | 0.267259i | ||||
\(731\) | 2.56529 | − | 7.89515i | 0.0948807 | − | 0.292013i | ||||
\(732\) | −11.7466 | − | 36.1522i | −0.434165 | − | 1.33622i | ||||
\(733\) | 22.9951 | − | 16.7069i | 0.849344 | − | 0.617085i | −0.0756209 | − | 0.997137i | \(-0.524094\pi\) |
0.924965 | + | 0.380052i | \(0.124094\pi\) | |||||||
\(734\) | 10.8040 | + | 33.2512i | 0.398782 | + | 1.22733i | ||||
\(735\) | −2.80651 | − | 2.03905i | −0.103519 | − | 0.0752113i | ||||
\(736\) | 7.60254 | + | 5.52357i | 0.280233 | + | 0.203601i | ||||
\(737\) | −8.97872 | + | 6.52342i | −0.330735 | + | 0.240293i | ||||
\(738\) | −0.275989 | −0.0101593 | ||||||||
\(739\) | 0.697306 | 0.0256508 | 0.0128254 | − | 0.999918i | \(-0.495917\pi\) | ||||
0.0128254 | + | 0.999918i | \(0.495917\pi\) | |||||||
\(740\) | 19.9633 | − | 14.5042i | 0.733866 | − | 0.533185i | ||||
\(741\) | −4.13333 | + | 12.7211i | −0.151842 | + | 0.467321i | ||||
\(742\) | −4.01777 | − | 12.3654i | −0.147497 | − | 0.453949i | ||||
\(743\) | 18.1815 | 0.667015 | 0.333508 | − | 0.942747i | \(-0.391768\pi\) | ||||
0.333508 | + | 0.942747i | \(0.391768\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −5.47779 | −0.200691 | ||||||||
\(746\) | 3.67929 | + | 11.3237i | 0.134708 | + | 0.414589i | ||||
\(747\) | −5.08350 | + | 15.6454i | −0.185996 | + | 0.572435i | ||||
\(748\) | −15.6548 | + | 11.3738i | −0.572395 | + | 0.415869i | ||||
\(749\) | 21.3712 | 0.780886 | ||||||||
\(750\) | −22.3670 | −0.816728 | ||||||||
\(751\) | 29.9870 | − | 21.7868i | 1.09424 | − | 0.795013i | 0.114131 | − | 0.993466i | \(-0.463592\pi\) |
0.980111 | + | 0.198452i | \(0.0635915\pi\) | |||||||
\(752\) | 70.4650 | + | 51.1958i | 2.56959 | + | 1.86692i | ||||
\(753\) | 26.3268 | + | 19.1276i | 0.959403 | + | 0.697047i | ||||
\(754\) | 24.8108 | + | 76.3599i | 0.903557 | + | 2.78086i | ||||
\(755\) | −1.57916 | + | 1.14732i | −0.0574713 | + | 0.0417554i | ||||
\(756\) | −15.8084 | − | 48.6533i | −0.574947 | − | 1.76950i | ||||
\(757\) | −1.97833 | + | 6.08867i | −0.0719036 | + | 0.221296i | −0.980550 | − | 0.196270i | \(-0.937117\pi\) |
0.908646 | + | 0.417567i | \(0.137117\pi\) | |||||||
\(758\) | −32.5494 | − | 23.6485i | −1.18225 | − | 0.858953i | ||||
\(759\) | −0.316281 | + | 0.973412i | −0.0114803 | + | 0.0353326i | ||||
\(760\) | 4.20351 | − | 12.9371i | 0.152477 | − | 0.469277i | ||||
\(761\) | −17.2635 | − | 12.5426i | −0.625801 | − | 0.454671i | 0.229142 | − | 0.973393i | \(-0.426408\pi\) |
−0.854943 | + | 0.518722i | \(0.826408\pi\) | |||||||
\(762\) | 15.2300 | − | 46.8731i | 0.551724 | − | 1.69803i | ||||
\(763\) | −3.84728 | − | 11.8407i | −0.139281 | − | 0.428663i | ||||
\(764\) | −5.07615 | + | 3.68804i | −0.183649 | + | 0.133429i | ||||
\(765\) | −0.512127 | − | 1.57616i | −0.0185160 | − | 0.0569863i | ||||
\(766\) | 25.3556 | + | 18.4219i | 0.916135 | + | 0.665611i | ||||
\(767\) | 1.38454 | + | 1.00593i | 0.0499928 | + | 0.0363219i | ||||
\(768\) | 18.4746 | − | 13.4226i | 0.666643 | − | 0.484345i | ||||
\(769\) | −12.2566 | −0.441983 | −0.220991 | − | 0.975276i | \(-0.570929\pi\) | ||||
−0.220991 | + | 0.975276i | \(0.570929\pi\) | |||||||
\(770\) | 3.77986 | 0.136217 | ||||||||
\(771\) | 0.121923 | − | 0.0885824i | 0.00439096 | − | 0.00319022i | ||||
\(772\) | 20.5954 | − | 63.3862i | 0.741245 | − | 2.28132i | ||||
\(773\) | 10.7240 | + | 33.0050i | 0.385714 | + | 1.18711i | 0.935961 | + | 0.352104i | \(0.114534\pi\) |
−0.550247 | + | 0.835002i | \(0.685466\pi\) | |||||||
\(774\) | 7.96974 | 0.286466 | ||||||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 11.1389 | 0.399863 | ||||||||
\(777\) | −5.86539 | − | 18.0518i | −0.210420 | − | 0.647605i | ||||
\(778\) | 11.9724 | − | 36.8472i | 0.429231 | − | 1.32104i | ||||
\(779\) | −0.216146 | + | 0.157040i | −0.00774425 | + | 0.00562652i | ||||
\(780\) | 16.5971 | 0.594272 | ||||||||
\(781\) | 6.36426 | 0.227731 | ||||||||
\(782\) | 3.24255 | − | 2.35585i | 0.115953 | − | 0.0842450i | ||||
\(783\) | −37.2102 | − | 27.0348i | −1.32978 | − | 0.966144i | ||||
\(784\) | 42.0998 | + | 30.5873i | 1.50356 | + | 1.09240i | ||||
\(785\) | −0.625436 | − | 1.92489i | −0.0223228 | − | 0.0687024i | ||||
\(786\) | 7.52944 | − | 5.47046i | 0.268566 | − | 0.195125i | ||||
\(787\) | 6.21686 | + | 19.1335i | 0.221607 | + | 0.682037i | 0.998618 | + | 0.0525500i | \(0.0167349\pi\) |
−0.777011 | + | 0.629487i | \(0.783265\pi\) | |||||||
\(788\) | 4.80409 | − | 14.7855i | 0.171138 | − | 0.526710i | ||||
\(789\) | 8.37824 | + | 6.08715i | 0.298273 | + | 0.216708i | ||||
\(790\) | −4.90526 | + | 15.0968i | −0.174521 | + | 0.537122i | ||||
\(791\) | −8.89666 | + | 27.3811i | −0.316329 | + | 0.973559i | ||||
\(792\) | −9.28952 | − | 6.74923i | −0.330089 | − | 0.239823i | ||||
\(793\) | −5.80157 | + | 17.8554i | −0.206020 | + | 0.634063i | ||||
\(794\) | −13.1264 | − | 40.3989i | −0.465838 | − | 1.43370i | ||||
\(795\) | −1.95493 | + | 1.42034i | −0.0693342 | + | 0.0503743i | ||||
\(796\) | 21.3358 | + | 65.6648i | 0.756227 | + | 2.32743i | ||||
\(797\) | 21.1978 | + | 15.4011i | 0.750865 | + | 0.545536i | 0.896095 | − | 0.443862i | \(-0.146392\pi\) |
−0.145230 | + | 0.989398i | \(0.546392\pi\) | |||||||
\(798\) | −13.6953 | − | 9.95018i | −0.484807 | − | 0.352233i | ||||
\(799\) | 15.0315 | − | 10.9210i | 0.531775 | − | 0.386357i | ||||
\(800\) | 80.6809 | 2.85250 | ||||||||
\(801\) | −15.1014 | −0.533583 | ||||||||
\(802\) | −67.5183 | + | 49.0549i | −2.38416 | + | 1.73219i | ||||
\(803\) | −3.10214 | + | 9.54739i | −0.109472 | + | 0.336920i | ||||
\(804\) | −19.0586 | − | 58.6562i | −0.672144 | − | 2.06865i | ||||
\(805\) | −0.566550 | −0.0199683 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 23.0179 | 0.810270 | ||||||||
\(808\) | −21.8506 | − | 67.2491i | −0.768700 | − | 2.36582i | ||||
\(809\) | −11.2637 | + | 34.6662i | −0.396011 | + | 1.21880i | 0.532160 | + | 0.846644i | \(0.321380\pi\) |
−0.928171 | + | 0.372153i | \(0.878620\pi\) | |||||||
\(810\) | −6.71298 | + | 4.87727i | −0.235870 | + | 0.171370i | ||||
\(811\) | −19.1064 | −0.670918 | −0.335459 | − | 0.942055i | \(-0.608891\pi\) | ||||
−0.335459 | + | 0.942055i | \(0.608891\pi\) | |||||||
\(812\) | −73.5320 | −2.58047 | ||||||||
\(813\) | 5.90785 | − | 4.29231i | 0.207197 | − | 0.150538i | ||||
\(814\) | −22.5431 | − | 16.3785i | −0.790136 | − | 0.574067i | ||||
\(815\) | −0.856586 | − | 0.622346i | −0.0300049 | − | 0.0217998i | ||||
\(816\) | −15.6925 | − | 48.2965i | −0.549347 | − | 1.69072i | ||||
\(817\) | 6.24165 | − | 4.53483i | 0.218368 | − | 0.158654i | ||||
\(818\) | 5.47482 | + | 16.8498i | 0.191422 | + | 0.589138i | ||||
\(819\) | −1.93132 | + | 5.94399i | −0.0674857 | + | 0.207700i | ||||
\(820\) | 0.268202 | + | 0.194860i | 0.00936603 | + | 0.00680482i | ||||
\(821\) | −12.1937 | + | 37.5285i | −0.425565 | + | 1.30975i | 0.476888 | + | 0.878964i | \(0.341765\pi\) |
−0.902453 | + | 0.430789i | \(0.858235\pi\) | |||||||
\(822\) | −9.60773 | + | 29.5696i | −0.335108 | + | 1.03136i | ||||
\(823\) | −25.5552 | − | 18.5669i | −0.890799 | − | 0.647203i | 0.0452874 | − | 0.998974i | \(-0.485580\pi\) |
−0.936086 | + | 0.351771i | \(0.885580\pi\) | |||||||
\(824\) | −40.7736 | + | 125.488i | −1.42041 | + | 4.37158i | ||||
\(825\) | 2.71546 | + | 8.35731i | 0.0945400 | + | 0.290964i | ||||
\(826\) | −1.75226 | + | 1.27309i | −0.0609691 | + | 0.0442966i | ||||
\(827\) | −6.12776 | − | 18.8593i | −0.213083 | − | 0.655802i | −0.999284 | − | 0.0378314i | \(-0.987955\pi\) |
0.786201 | − | 0.617971i | \(-0.212045\pi\) | |||||||
\(828\) | 2.25268 | + | 1.63666i | 0.0782859 | + | 0.0568780i | ||||
\(829\) | 7.28104 | + | 5.28999i | 0.252881 | + | 0.183729i | 0.707003 | − | 0.707211i | \(-0.250047\pi\) |
−0.454122 | + | 0.890940i | \(0.650047\pi\) | |||||||
\(830\) | 22.0916 | − | 16.0505i | 0.766812 | − | 0.557122i | ||||
\(831\) | −24.0163 | −0.833115 | ||||||||
\(832\) | −76.9954 | −2.66933 | ||||||||
\(833\) | 8.98066 | − | 6.52483i | 0.311161 | − | 0.226072i | ||||
\(834\) | 1.59664 | − | 4.91395i | 0.0552871 | − | 0.170156i | ||||
\(835\) | 2.63511 | + | 8.11003i | 0.0911917 | + | 0.280659i | ||||
\(836\) | −17.9836 | −0.621976 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 39.4699 | 1.36347 | ||||||||
\(839\) | −9.84070 | − | 30.2866i | −0.339739 | − | 1.04561i | −0.964340 | − | 0.264665i | \(-0.914739\pi\) |
0.624602 | − | 0.780944i | \(-0.285261\pi\) | |||||||
\(840\) | −4.01205 | + | 12.3478i | −0.138429 | + | 0.426040i | ||||
\(841\) | −30.0234 | + | 21.8133i | −1.03529 | + | 0.752183i | ||||
\(842\) | 71.8698 | 2.47680 | ||||||||
\(843\) | −2.70587 | −0.0931953 | ||||||||
\(844\) | −77.6697 | + | 56.4303i | −2.67350 | + | 1.94241i | ||||
\(845\) | −0.233192 | − | 0.169424i | −0.00802205 | − | 0.00582836i | ||||
\(846\) | 14.4308 | + | 10.4846i | 0.496142 | + | 0.360468i | ||||
\(847\) | 4.91552 | + | 15.1284i | 0.168899 | + | 0.519818i | ||||
\(848\) | 29.3255 | − | 21.3062i | 1.00704 | − | 0.731659i | ||||
\(849\) | 6.71405 | + | 20.6637i | 0.230426 | + | 0.709177i | ||||
\(850\) | 10.6336 | − | 32.7269i | 0.364730 | − | 1.12252i | ||||
\(851\) | 3.37891 | + | 2.45492i | 0.115828 | + | 0.0841536i | ||||
\(852\) | −10.9290 | + | 33.6361i | −0.374422 | + | 1.15235i | ||||
\(853\) | −15.1702 | + | 46.6890i | −0.519417 | + | 1.59860i | 0.255683 | + | 0.966761i | \(0.417700\pi\) |
−0.775099 | + | 0.631839i | \(0.782300\pi\) | |||||||
\(854\) | −19.2227 | − | 13.9661i | −0.657788 | − | 0.477911i | ||||
\(855\) | 0.475954 | − | 1.46484i | 0.0162773 | − | 0.0500964i | ||||
\(856\) | 33.3013 | + | 102.491i | 1.13821 | + | 3.50306i | ||||
\(857\) | −15.5659 | + | 11.3093i | −0.531720 | + | 0.386317i | −0.821001 | − | 0.570927i | \(-0.806584\pi\) |
0.289281 | + | 0.957244i | \(0.406584\pi\) | |||||||
\(858\) | −5.79157 | − | 17.8246i | −0.197721 | − | 0.608522i | ||||
\(859\) | 3.75558 | + | 2.72859i | 0.128139 | + | 0.0930981i | 0.650008 | − | 0.759927i | \(-0.274765\pi\) |
−0.521870 | + | 0.853025i | \(0.674765\pi\) | |||||||
\(860\) | −7.74487 | − | 5.62698i | −0.264098 | − | 0.191878i | ||||
\(861\) | 0.206301 | − | 0.149887i | 0.00703073 | − | 0.00510812i | ||||
\(862\) | −10.7284 | −0.365410 | ||||||||
\(863\) | 38.5304 | 1.31159 | 0.655795 | − | 0.754939i | \(-0.272333\pi\) | ||||
0.655795 | + | 0.754939i | \(0.272333\pi\) | |||||||
\(864\) | 79.7493 | − | 57.9413i | 2.71313 | − | 1.97120i | ||||
\(865\) | −0.00225242 | + | 0.00693223i | −7.65845e−5 | + | 0.000235703i | ||||
\(866\) | 15.0271 | + | 46.2487i | 0.510642 | + | 1.57159i | ||||
\(867\) | 13.2931 | 0.451456 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 12.9713 | 0.440022 | ||||||||
\(870\) | 5.83589 | + | 17.9610i | 0.197855 | + | 0.608935i | ||||
\(871\) | −9.41293 | + | 28.9700i | −0.318945 | + | 0.981612i | ||||
\(872\) | 50.7901 | − | 36.9012i | 1.71997 | − | 1.24963i | ||||
\(873\) | 1.26123 | 0.0426863 | ||||||||
\(874\) | 3.72492 | 0.125997 | ||||||||
\(875\) | −8.18498 | + | 5.94673i | −0.276703 | + | 0.201036i | ||||
\(876\) | −45.1323 | − | 32.7905i | −1.52488 | − | 1.10789i | ||||
\(877\) | 7.49016 | + | 5.44192i | 0.252925 | + | 0.183761i | 0.707022 | − | 0.707192i | \(-0.250038\pi\) |
−0.454097 | + | 0.890952i | \(0.650038\pi\) | |||||||
\(878\) | −19.0440 | − | 58.6114i | −0.642704 | − | 1.97804i | ||||
\(879\) | 30.7626 | − | 22.3503i | 1.03760 | − | 0.753857i | ||||
\(880\) | 3.25644 | + | 10.0223i | 0.109775 | + | 0.337852i | ||||
\(881\) | 5.52494 | − | 17.0040i | 0.186140 | − | 0.572880i | −0.813826 | − | 0.581108i | \(-0.802619\pi\) |
0.999966 | + | 0.00822862i | \(0.00261928\pi\) | |||||||
\(882\) | 8.62180 | + | 6.26410i | 0.290311 | + | 0.210923i | ||||
\(883\) | 14.9303 | − | 45.9509i | 0.502446 | − | 1.54637i | −0.302577 | − | 0.953125i | \(-0.597847\pi\) |
0.805022 | − | 0.593244i | \(-0.202153\pi\) | |||||||
\(884\) | −16.4118 | + | 50.5104i | −0.551990 | + | 1.69885i | ||||
\(885\) | 0.325665 | + | 0.236609i | 0.0109471 | + | 0.00795353i | ||||
\(886\) | 17.8658 | − | 54.9853i | 0.600214 | − | 1.84727i | ||||
\(887\) | 7.26568 | + | 22.3614i | 0.243957 | + | 0.750824i | 0.995806 | + | 0.0914882i | \(0.0291624\pi\) |
−0.751849 | + | 0.659336i | \(0.770838\pi\) | |||||||
\(888\) | 77.4323 | − | 56.2578i | 2.59846 | − | 1.88789i | ||||
\(889\) | −6.88893 | − | 21.2019i | −0.231047 | − | 0.711090i | ||||
\(890\) | 20.2799 | + | 14.7342i | 0.679784 | + | 0.493892i | ||||
\(891\) | 5.48554 | + | 3.98548i | 0.183772 | + | 0.133518i | ||||
\(892\) | 39.8087 | − | 28.9227i | 1.33290 | − | 0.968405i | ||||
\(893\) | 17.2676 | 0.577838 | ||||||||
\(894\) | −34.3746 | −1.14966 | ||||||||
\(895\) | −4.91110 | + | 3.56812i | −0.164160 | + | 0.119269i | ||||
\(896\) | 11.5137 | − | 35.4355i | 0.384646 | − | 1.18382i | ||||
\(897\) | 0.868078 | + | 2.67167i | 0.0289843 | + | 0.0892044i | ||||
\(898\) | 50.5739 | 1.68767 | ||||||||
\(899\) | 0 | 0 | ||||||||
\(900\) | 23.9062 | 0.796874 | ||||||||
\(901\) | −2.38945 | − | 7.35398i | −0.0796042 | − | 0.244996i | ||||
\(902\) | 0.115683 | − | 0.356035i | 0.00385181 | − | 0.0118547i | ||||
\(903\) | −5.95736 | + | 4.32827i | −0.198249 | + | 0.144036i | ||||
\(904\) | −145.176 | −4.82847 | ||||||||
\(905\) | 11.3179 | 0.376219 | ||||||||
\(906\) | −9.90963 | + | 7.19976i | −0.329225 | + | 0.239196i | ||||
\(907\) | 10.1792 | + | 7.39560i | 0.337994 | + | 0.245567i | 0.743815 | − | 0.668386i | \(-0.233014\pi\) |
−0.405821 | + | 0.913952i | \(0.633014\pi\) | |||||||
\(908\) | −35.8406 | − | 26.0397i | −1.18941 | − | 0.864159i | ||||
\(909\) | −2.47409 | − | 7.61448i | −0.0820605 | − | 0.252556i | ||||
\(910\) | 8.39304 | − | 6.09790i | 0.278227 | − | 0.202143i | ||||
\(911\) | 14.6117 | + | 44.9702i | 0.484108 | + | 1.48993i | 0.833269 | + | 0.552867i | \(0.186466\pi\) |
−0.349162 | + | 0.937062i | \(0.613534\pi\) | |||||||
\(912\) | 14.5841 | − | 44.8853i | 0.482928 | − | 1.48630i | ||||
\(913\) | −18.0523 | − | 13.1157i | −0.597443 | − | 0.434068i | ||||
\(914\) | 3.41333 | − | 10.5051i | 0.112903 | − | 0.347479i | ||||
\(915\) | −1.36462 | + | 4.19986i | −0.0451129 | + | 0.138843i | ||||
\(916\) | 96.7824 | + | 70.3165i | 3.19778 | + | 2.32332i | ||||
\(917\) | 1.30089 | − | 4.00372i | 0.0429591 | − | 0.132214i | ||||
\(918\) | −12.9921 | − | 39.9856i | −0.428803 | − | 1.31972i | ||||
\(919\) | 18.7141 | − | 13.5966i | 0.617320 | − | 0.448510i | −0.234664 | − | 0.972077i | \(-0.575399\pi\) |
0.851985 | + | 0.523567i | \(0.175399\pi\) | |||||||
\(920\) | −0.882816 | − | 2.71703i | −0.0291056 | − | 0.0895778i | ||||
\(921\) | 10.2772 | + | 7.46682i | 0.338645 | + | 0.246040i | ||||
\(922\) | 49.7848 | + | 36.1708i | 1.63958 | + | 1.19122i | ||||
\(923\) | 14.1316 | − | 10.2672i | 0.465147 | − | 0.337949i | ||||
\(924\) | 17.1645 | 0.564670 | ||||||||
\(925\) | 35.8582 | 1.17901 | ||||||||
\(926\) | 36.0560 | − | 26.1962i | 1.18488 | − | 0.860862i | ||||
\(927\) | −4.61670 | + | 14.2087i | −0.151632 | + | 0.466677i | ||||
\(928\) | −43.7846 | − | 134.755i | −1.43730 | − | 4.42355i | ||||
\(929\) | −1.68694 | −0.0553468 | −0.0276734 | − | 0.999617i | \(-0.508810\pi\) | ||||
−0.0276734 | + | 0.999617i | \(0.508810\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 10.3166 | 0.338114 | ||||||||
\(932\) | 26.3030 | + | 80.9524i | 0.861585 | + | 2.65169i | ||||
\(933\) | −9.05844 | + | 27.8790i | −0.296560 | + | 0.912718i | ||||
\(934\) | 83.0208 | − | 60.3181i | 2.71652 | − | 1.97367i | ||||
\(935\) | 2.24796 | 0.0735162 | ||||||||
\(936\) | −31.5153 | −1.03011 | ||||||||
\(937\) | −15.9592 | + | 11.5950i | −0.521364 | + | 0.378793i | −0.817118 | − | 0.576471i | \(-0.804429\pi\) |
0.295753 | + | 0.955264i | \(0.404429\pi\) | |||||||
\(938\) | −31.1885 | − | 22.6598i | −1.01834 | − | 0.739868i | ||||
\(939\) | −0.518174 | − | 0.376475i | −0.0169100 | − | 0.0122858i | ||||
\(940\) | −6.62107 | − | 20.3776i | −0.215956 | − | 0.664643i | ||||
\(941\) | −7.13817 | + | 5.18618i | −0.232698 | + | 0.169065i | −0.698024 | − | 0.716075i | \(-0.745937\pi\) |
0.465326 | + | 0.885139i | \(0.345937\pi\) | |||||||
\(942\) | −3.92478 | − | 12.0792i | −0.127876 | − | 0.393563i | ||||
\(943\) | −0.0173393 | + | 0.0533648i | −0.000564644 | + | 0.00173780i | ||||
\(944\) | −4.88523 | − | 3.54933i | −0.159001 | − | 0.115521i | ||||
\(945\) | −1.83649 | + | 5.65214i | −0.0597411 | + | 0.183864i | ||||
\(946\) | −3.34057 | + | 10.2812i | −0.108611 | + | 0.334271i | ||||
\(947\) | 12.5893 | + | 9.14663i | 0.409096 | + | 0.297226i | 0.773236 | − | 0.634119i | \(-0.218637\pi\) |
−0.364140 | + | 0.931344i | \(0.618637\pi\) | |||||||
\(948\) | −22.2750 | + | 68.5553i | −0.723458 | + | 2.22657i | ||||
\(949\) | 8.51426 | + | 26.2042i | 0.276384 | + | 0.850624i | ||||
\(950\) | 25.8728 | − | 18.7977i | 0.839426 | − | 0.609879i | ||||
\(951\) | 2.44746 | + | 7.53250i | 0.0793642 | + | 0.244258i | ||||
\(952\) | −33.6112 | − | 24.4199i | −1.08934 | − | 0.791455i | ||||
\(953\) | 7.80840 | + | 5.67314i | 0.252939 | + | 0.183771i | 0.707028 | − | 0.707185i | \(-0.250035\pi\) |
−0.454089 | + | 0.890956i | \(0.650035\pi\) | |||||||
\(954\) | 6.00570 | − | 4.36339i | 0.194442 | − | 0.141270i | ||||
\(955\) | 0.728916 | 0.0235872 | ||||||||
\(956\) | −95.6945 | −3.09498 | ||||||||
\(957\) | 12.4849 | − | 9.07083i | 0.403580 | − | 0.293218i | ||||
\(958\) | 28.0023 | − | 86.1821i | 0.904712 | − | 2.78442i | ||||
\(959\) | 4.34583 | + | 13.3751i | 0.140334 | + | 0.431904i | ||||
\(960\) | −18.1105 | −0.584514 | ||||||||
\(961\) | 0 | 0 | ||||||||
\(962\) | −76.4790 | −2.46578 | ||||||||
\(963\) | 3.77063 | + | 11.6048i | 0.121507 | + | 0.373960i | ||||
\(964\) | 29.4071 | − | 90.5056i | 0.947138 | − | 2.91499i | ||||
\(965\) | −6.26392 | + | 4.55100i | −0.201643 | + | 0.146502i | ||||
\(966\) | −3.55525 | −0.114388 | ||||||||
\(967\) | −28.3976 | −0.913204 | −0.456602 | − | 0.889671i | \(-0.650934\pi\) | ||||
−0.456602 | + | 0.889671i | \(0.650934\pi\) | |||||||
\(968\) | −64.8924 | + | 47.1471i | −2.08572 | + | 1.51537i | ||||
\(969\) | −8.14485 | − | 5.91758i | −0.261650 | − | 0.190100i | ||||
\(970\) | −1.69373 | − | 1.23056i | −0.0543823 | − | 0.0395110i | ||||
\(971\) | −6.83764 | − | 21.0441i | −0.219430 | − | 0.675337i | −0.998809 | − | 0.0487844i | \(-0.984465\pi\) |
0.779379 | − | 0.626553i | \(-0.215535\pi\) | |||||||
\(972\) | 41.4152 | − | 30.0899i | 1.32839 | − | 0.965134i | ||||
\(973\) | −0.722202 | − | 2.22271i | −0.0231527 | − | 0.0712568i | ||||
\(974\) | −17.1886 | + | 52.9011i | −0.550758 | + | 1.69506i | ||||
\(975\) | 19.5121 | + | 14.1764i | 0.624887 | + | 0.454007i | ||||
\(976\) | 20.4703 | − | 63.0012i | 0.655240 | − | 2.01662i | ||||
\(977\) | −6.15324 | + | 18.9377i | −0.196859 | + | 0.605871i | 0.803090 | + | 0.595857i | \(0.203188\pi\) |
−0.999950 | + | 0.0100140i | \(0.996812\pi\) | |||||||
\(978\) | −5.37531 | − | 3.90539i | −0.171883 | − | 0.124881i | ||||
\(979\) | 6.32986 | − | 19.4813i | 0.202303 | − | 0.622626i | ||||
\(980\) | −3.95581 | − | 12.1747i | −0.126364 | − | 0.388907i | ||||
\(981\) | 5.75086 | − | 4.17824i | 0.183611 | − | 0.133401i | ||||
\(982\) | 20.5604 | + | 63.2785i | 0.656110 | + | 2.01930i | ||||
\(983\) | −20.1691 | − | 14.6537i | −0.643294 | − | 0.467381i | 0.217686 | − | 0.976019i | \(-0.430149\pi\) |
−0.860980 | + | 0.508638i | \(0.830149\pi\) | |||||||
\(984\) | 1.04028 | + | 0.755810i | 0.0331630 | + | 0.0240944i | ||||
\(985\) | −1.46112 | + | 1.06157i | −0.0465552 | + | 0.0338243i | ||||
\(986\) | −60.4320 | −1.92455 | ||||||||
\(987\) | −16.4811 | −0.524598 | ||||||||
\(988\) | −39.9319 | + | 29.0122i | −1.27040 | + | 0.923002i | ||||
\(989\) | 0.500706 | − | 1.54101i | 0.0159215 | − | 0.0490014i | ||||
\(990\) | 0.666901 | + | 2.05251i | 0.0211955 | + | 0.0652330i | ||||
\(991\) | 42.0512 | 1.33580 | 0.667900 | − | 0.744251i | \(-0.267193\pi\) | ||||
0.667900 | + | 0.744251i | \(0.267193\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 34.3515 | 1.09011 | ||||||||
\(994\) | 6.83142 | + | 21.0249i | 0.216679 | + | 0.666871i | ||||
\(995\) | 2.47861 | − | 7.62839i | 0.0785774 | − | 0.241836i | ||||
\(996\) | 100.319 | − | 72.8860i | 3.17873 | − | 2.30948i | ||||
\(997\) | 14.4647 | 0.458100 | 0.229050 | − | 0.973415i | \(-0.426438\pi\) | ||||
0.229050 | + | 0.973415i | \(0.426438\pi\) | |||||||
\(998\) | −66.0707 | −2.09143 | ||||||||
\(999\) | 35.4442 | − | 25.7517i | 1.12140 | − | 0.814748i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))