Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [140,2,Mod(139,140)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(140, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("140.139");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 140 = 2^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 140.c (of order \(2\), degree \(1\), 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: | \(1.11790562830\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 6x^{14} + 28x^{12} + 16x^{10} - 40x^{8} + 610x^{6} + 1625x^{4} - 524x^{2} + 1444 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2^{8} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 139.2 | ||
Root | \(-0.744612 - 0.556573i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 140.139 |
Dual form | 140.2.c.b.139.3 |
$q$-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 \(\left(\mathbb{Z}/140\mathbb{Z}\right)^\times\).
\(n\) | \(57\) | \(71\) | \(101\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.06789 | − | 0.927153i | −0.755112 | − | 0.655596i | ||||
\(3\) | 0.662153i | 0.382294i | 0.981561 | + | 0.191147i | \(0.0612208\pi\) | ||||
−0.981561 | + | 0.191147i | \(0.938779\pi\) | |||||||
\(4\) | 0.280776 | + | 1.98019i | 0.140388 | + | 0.990097i | ||||
\(5\) | −1.31119 | − | 1.81129i | −0.586383 | − | 0.810034i | ||||
\(6\) | 0.613917 | − | 0.707107i | 0.250631 | − | 0.288675i | ||||
\(7\) | 1.19935 | − | 2.35829i | 0.453313 | − | 0.891352i | ||||
\(8\) | 1.53610 | − | 2.37495i | 0.543094 | − | 0.839672i | ||||
\(9\) | 2.56155 | 0.853851 | ||||||||
\(10\) | −0.279135 | + | 3.14993i | −0.0882704 | + | 0.996097i | ||||
\(11\) | − | 3.09218i | − | 0.932326i | −0.884699 | − | 0.466163i | \(-0.845636\pi\) | ||
0.884699 | − | 0.466163i | \(-0.154364\pi\) | |||||||
\(12\) | −1.31119 | + | 0.185917i | −0.378508 | + | 0.0536696i | ||||
\(13\) | 4.66988 | 1.29519 | 0.647596 | − | 0.761984i | \(-0.275775\pi\) | ||||
0.647596 | + | 0.761984i | \(0.275775\pi\) | |||||||
\(14\) | −3.46728 | + | 1.40642i | −0.926668 | + | 0.375880i | ||||
\(15\) | 1.19935 | − | 0.868210i | 0.309672 | − | 0.224171i | ||||
\(16\) | −3.84233 | + | 1.11198i | −0.960582 | + | 0.277996i | ||||
\(17\) | −2.04750 | −0.496590 | −0.248295 | − | 0.968684i | \(-0.579870\pi\) | ||||
−0.248295 | + | 0.968684i | \(0.579870\pi\) | |||||||
\(18\) | −2.73546 | − | 2.37495i | −0.644753 | − | 0.559781i | ||||
\(19\) | −5.60083 | −1.28492 | −0.642459 | − | 0.766320i | \(-0.722086\pi\) | ||||
−0.642459 | + | 0.766320i | \(0.722086\pi\) | |||||||
\(20\) | 3.21855 | − | 3.10498i | 0.719691 | − | 0.694295i | ||||
\(21\) | 1.56155 | + | 0.794156i | 0.340759 | + | 0.173299i | ||||
\(22\) | −2.86692 | + | 3.30210i | −0.611229 | + | 0.704011i | ||||
\(23\) | 1.87285 | 0.390517 | 0.195258 | − | 0.980752i | \(-0.437445\pi\) | ||||
0.195258 | + | 0.980752i | \(0.437445\pi\) | |||||||
\(24\) | 1.57258 | + | 1.01714i | 0.321002 | + | 0.207622i | ||||
\(25\) | −1.56155 | + | 4.74990i | −0.312311 | + | 0.949980i | ||||
\(26\) | −4.98691 | − | 4.32969i | −0.978014 | − | 0.849122i | ||||
\(27\) | 3.68260i | 0.708717i | ||||||||
\(28\) | 5.00663 | + | 1.71280i | 0.946164 | + | 0.323688i | ||||
\(29\) | −3.56155 | −0.661364 | −0.330682 | − | 0.943742i | \(-0.607279\pi\) | ||||
−0.330682 | + | 0.943742i | \(0.607279\pi\) | |||||||
\(30\) | −2.08574 | − | 0.184830i | −0.380802 | − | 0.0337453i | ||||
\(31\) | 8.74599 | 1.57083 | 0.785414 | − | 0.618971i | \(-0.212450\pi\) | ||||
0.785414 | + | 0.618971i | \(0.212450\pi\) | |||||||
\(32\) | 5.13416 | + | 2.37495i | 0.907600 | + | 0.419836i | ||||
\(33\) | 2.04750 | 0.356423 | ||||||||
\(34\) | 2.18650 | + | 1.89834i | 0.374981 | + | 0.325563i | ||||
\(35\) | −5.84414 | + | 0.919799i | −0.987840 | + | 0.155474i | ||||
\(36\) | 0.719224 | + | 5.07237i | 0.119871 | + | 0.845395i | ||||
\(37\) | 3.70861i | 0.609692i | 0.952402 | + | 0.304846i | \(0.0986050\pi\) | ||||
−0.952402 | + | 0.304846i | \(0.901395\pi\) | |||||||
\(38\) | 5.98107 | + | 5.19283i | 0.970258 | + | 0.842388i | ||||
\(39\) | 3.09218i | 0.495144i | ||||||||
\(40\) | −6.31585 | + | 0.331685i | −0.998624 | + | 0.0524440i | ||||
\(41\) | 8.48528i | 1.32518i | 0.748983 | + | 0.662589i | \(0.230542\pi\) | ||||
−0.748983 | + | 0.662589i | \(0.769458\pi\) | |||||||
\(42\) | −0.931263 | − | 2.29587i | −0.143697 | − | 0.354260i | ||||
\(43\) | −4.27156 | −0.651407 | −0.325703 | − | 0.945472i | \(-0.605601\pi\) | ||||
−0.325703 | + | 0.945472i | \(0.605601\pi\) | |||||||
\(44\) | 6.12311 | − | 0.868210i | 0.923093 | − | 0.130888i | ||||
\(45\) | −3.35869 | − | 4.63972i | −0.500683 | − | 0.691648i | ||||
\(46\) | −2.00000 | − | 1.73642i | −0.294884 | − | 0.256021i | ||||
\(47\) | − | 0.290319i | − | 0.0423474i | −0.999776 | − | 0.0211737i | \(-0.993260\pi\) | ||
0.999776 | − | 0.0211737i | \(-0.00674031\pi\) | |||||||
\(48\) | −0.736303 | − | 2.54421i | −0.106276 | − | 0.367225i | ||||
\(49\) | −4.12311 | − | 5.65685i | −0.589015 | − | 0.808122i | ||||
\(50\) | 6.07145 | − | 3.62457i | 0.858632 | − | 0.512592i | ||||
\(51\) | − | 1.35576i | − | 0.189844i | ||||||
\(52\) | 1.31119 | + | 9.24726i | 0.181830 | + | 1.28236i | ||||
\(53\) | − | 9.49980i | − | 1.30490i | −0.757833 | − | 0.652449i | \(-0.773742\pi\) | ||
0.757833 | − | 0.652449i | \(-0.226258\pi\) | |||||||
\(54\) | 3.41433 | − | 3.93261i | 0.464632 | − | 0.535161i | ||||
\(55\) | −5.60083 | + | 4.05444i | −0.755216 | + | 0.546700i | ||||
\(56\) | −3.75850 | − | 6.47099i | −0.502251 | − | 0.864722i | ||||
\(57\) | − | 3.70861i | − | 0.491217i | ||||||
\(58\) | 3.80335 | + | 3.30210i | 0.499404 | + | 0.433587i | ||||
\(59\) | 8.05650 | 1.04887 | 0.524434 | − | 0.851451i | \(-0.324277\pi\) | ||||
0.524434 | + | 0.851451i | \(0.324277\pi\) | |||||||
\(60\) | 2.05597 | + | 2.13118i | 0.265425 | + | 0.275134i | ||||
\(61\) | 6.45101i | 0.825967i | 0.910738 | + | 0.412984i | \(0.135513\pi\) | ||||
−0.910738 | + | 0.412984i | \(0.864487\pi\) | |||||||
\(62\) | −9.33976 | − | 8.10887i | −1.18615 | − | 1.02983i | ||||
\(63\) | 3.07221 | − | 6.04090i | 0.387062 | − | 0.761081i | ||||
\(64\) | −3.28078 | − | 7.29634i | −0.410097 | − | 0.912042i | ||||
\(65\) | −6.12311 | − | 8.45851i | −0.759478 | − | 1.04915i | ||||
\(66\) | −2.18650 | − | 1.89834i | −0.269139 | − | 0.233670i | ||||
\(67\) | −2.39871 | −0.293049 | −0.146524 | − | 0.989207i | \(-0.546809\pi\) | ||||
−0.146524 | + | 0.989207i | \(0.546809\pi\) | |||||||
\(68\) | −0.574888 | − | 4.05444i | −0.0697154 | − | 0.491673i | ||||
\(69\) | 1.24012i | 0.149292i | ||||||||
\(70\) | 7.09369 | + | 4.43617i | 0.847858 | + | 0.530223i | ||||
\(71\) | 9.65719i | 1.14610i | 0.819521 | + | 0.573049i | \(0.194240\pi\) | ||||
−0.819521 | + | 0.573049i | \(0.805760\pi\) | |||||||
\(72\) | 3.93481 | − | 6.08356i | 0.463722 | − | 0.716954i | ||||
\(73\) | −4.09499 | −0.479282 | −0.239641 | − | 0.970862i | \(-0.577030\pi\) | ||||
−0.239641 | + | 0.970862i | \(0.577030\pi\) | |||||||
\(74\) | 3.43845 | − | 3.96039i | 0.399711 | − | 0.460386i | ||||
\(75\) | −3.14516 | − | 1.03399i | −0.363172 | − | 0.119395i | ||||
\(76\) | −1.57258 | − | 11.0907i | −0.180387 | − | 1.27219i | ||||
\(77\) | −7.29226 | − | 3.70861i | −0.831030 | − | 0.422635i | ||||
\(78\) | 2.86692 | − | 3.30210i | 0.324615 | − | 0.373890i | ||||
\(79\) | 1.35576i | 0.152534i | 0.997087 | + | 0.0762672i | \(0.0243002\pi\) | ||||
−0.997087 | + | 0.0762672i | \(0.975700\pi\) | |||||||
\(80\) | 7.05216 | + | 5.50155i | 0.788455 | + | 0.615093i | ||||
\(81\) | 5.24621 | 0.582912 | ||||||||
\(82\) | 7.86715 | − | 9.06134i | 0.868781 | − | 1.00066i | ||||
\(83\) | 12.4536i | 1.36696i | 0.729968 | + | 0.683482i | \(0.239535\pi\) | ||||
−0.729968 | + | 0.683482i | \(0.760465\pi\) | |||||||
\(84\) | −1.13413 | + | 3.31516i | −0.123744 | + | 0.361713i | ||||
\(85\) | 2.68466 | + | 3.70861i | 0.291192 | + | 0.402255i | ||||
\(86\) | 4.56155 | + | 3.96039i | 0.491885 | + | 0.427059i | ||||
\(87\) | − | 2.35829i | − | 0.252836i | ||||||
\(88\) | −7.34376 | − | 4.74990i | −0.782848 | − | 0.506341i | ||||
\(89\) | − | 2.82843i | − | 0.299813i | −0.988700 | − | 0.149906i | \(-0.952103\pi\) | ||
0.988700 | − | 0.149906i | \(-0.0478972\pi\) | |||||||
\(90\) | −0.715020 | + | 8.06872i | −0.0753697 | + | 0.850518i | ||||
\(91\) | 5.60083 | − | 11.0129i | 0.587127 | − | 1.15447i | ||||
\(92\) | 0.525853 | + | 3.70861i | 0.0548240 | + | 0.386649i | ||||
\(93\) | 5.79119i | 0.600518i | ||||||||
\(94\) | −0.269170 | + | 0.310029i | −0.0277628 | + | 0.0319770i | ||||
\(95\) | 7.34376 | + | 10.1447i | 0.753454 | + | 1.04083i | ||||
\(96\) | −1.57258 | + | 3.39960i | −0.160501 | + | 0.346970i | ||||
\(97\) | 6.14249 | 0.623675 | 0.311837 | − | 0.950135i | \(-0.399056\pi\) | ||||
0.311837 | + | 0.950135i | \(0.399056\pi\) | |||||||
\(98\) | −0.841745 | + | 9.86364i | −0.0850291 | + | 0.996378i | ||||
\(99\) | − | 7.92077i | − | 0.796068i | ||||||
\(100\) | −9.84417 | − | 1.75852i | −0.984417 | − | 0.175852i | ||||
\(101\) | 2.38247i | 0.237064i | 0.992950 | + | 0.118532i | \(0.0378189\pi\) | ||||
−0.992950 | + | 0.118532i | \(0.962181\pi\) | |||||||
\(102\) | −1.25699 | + | 1.44780i | −0.124461 | + | 0.143353i | ||||
\(103\) | − | 1.03399i | − | 0.101882i | −0.998702 | − | 0.0509409i | \(-0.983778\pi\) | ||
0.998702 | − | 0.0509409i | \(-0.0162220\pi\) | |||||||
\(104\) | 7.17341 | − | 11.0907i | 0.703411 | − | 1.08754i | ||||
\(105\) | −0.609048 | − | 3.86972i | −0.0594370 | − | 0.377646i | ||||
\(106\) | −8.80776 | + | 10.1447i | −0.855486 | + | 0.985344i | ||||
\(107\) | −14.6875 | −1.41990 | −0.709948 | − | 0.704254i | \(-0.751282\pi\) | ||||
−0.709948 | + | 0.704254i | \(0.751282\pi\) | |||||||
\(108\) | −7.29226 | + | 1.03399i | −0.701698 | + | 0.0994955i | ||||
\(109\) | 0.438447 | 0.0419956 | 0.0209978 | − | 0.999780i | \(-0.493316\pi\) | ||||
0.0209978 | + | 0.999780i | \(0.493316\pi\) | |||||||
\(110\) | 9.74015 | + | 0.863136i | 0.928687 | + | 0.0822968i | ||||
\(111\) | −2.45567 | −0.233082 | ||||||||
\(112\) | −1.98593 | + | 10.3950i | −0.187652 | + | 0.982236i | ||||
\(113\) | 3.70861i | 0.348877i | 0.984668 | + | 0.174438i | \(0.0558110\pi\) | ||||
−0.984668 | + | 0.174438i | \(0.944189\pi\) | |||||||
\(114\) | −3.43845 | + | 3.96039i | −0.322040 | + | 0.370924i | ||||
\(115\) | −2.45567 | − | 3.39228i | −0.228992 | − | 0.316332i | ||||
\(116\) | −1.00000 | − | 7.05256i | −0.0928477 | − | 0.654814i | ||||
\(117\) | 11.9621 | 1.10590 | ||||||||
\(118\) | −8.60345 | − | 7.46960i | −0.792012 | − | 0.687633i | ||||
\(119\) | −2.45567 | + | 4.82860i | −0.225111 | + | 0.442637i | ||||
\(120\) | −0.219626 | − | 4.18206i | −0.0200491 | − | 0.381768i | ||||
\(121\) | 1.43845 | 0.130768 | ||||||||
\(122\) | 5.98107 | − | 6.88897i | 0.541501 | − | 0.623698i | ||||
\(123\) | −5.61856 | −0.506608 | ||||||||
\(124\) | 2.45567 | + | 17.3188i | 0.220526 | + | 1.55527i | ||||
\(125\) | 10.6509 | − | 3.39960i | 0.952650 | − | 0.304070i | ||||
\(126\) | −8.88161 | + | 3.60261i | −0.791237 | + | 0.320946i | ||||
\(127\) | 17.0862 | 1.51616 | 0.758079 | − | 0.652163i | \(-0.226138\pi\) | ||||
0.758079 | + | 0.652163i | \(0.226138\pi\) | |||||||
\(128\) | −3.26131 | + | 10.8335i | −0.288262 | + | 0.957552i | ||||
\(129\) | − | 2.82843i | − | 0.249029i | ||||||
\(130\) | −1.30353 | + | 14.7098i | −0.114327 | + | 1.29014i | ||||
\(131\) | 5.60083 | 0.489347 | 0.244673 | − | 0.969606i | \(-0.421319\pi\) | ||||
0.244673 | + | 0.969606i | \(0.421319\pi\) | |||||||
\(132\) | 0.574888 | + | 4.05444i | 0.0500376 | + | 0.352893i | ||||
\(133\) | −6.71737 | + | 13.2084i | −0.582470 | + | 1.14531i | ||||
\(134\) | 2.56155 | + | 2.22397i | 0.221284 | + | 0.192121i | ||||
\(135\) | 6.67026 | − | 4.82860i | 0.574085 | − | 0.415579i | ||||
\(136\) | −3.14516 | + | 4.86270i | −0.269695 | + | 0.416973i | ||||
\(137\) | 13.2084i | 1.12847i | 0.825614 | + | 0.564235i | \(0.190829\pi\) | ||||
−0.825614 | + | 0.564235i | \(0.809171\pi\) | |||||||
\(138\) | 1.14978 | − | 1.32431i | 0.0978755 | − | 0.112732i | ||||
\(139\) | −14.3468 | −1.21688 | −0.608441 | − | 0.793599i | \(-0.708205\pi\) | ||||
−0.608441 | + | 0.793599i | \(0.708205\pi\) | |||||||
\(140\) | −3.46228 | − | 11.3143i | −0.292616 | − | 0.956230i | ||||
\(141\) | 0.192236 | 0.0161892 | ||||||||
\(142\) | 8.95369 | − | 10.3128i | 0.751377 | − | 0.865432i | ||||
\(143\) | − | 14.4401i | − | 1.20754i | ||||||
\(144\) | −9.84233 | + | 2.84840i | −0.820194 | + | 0.237367i | ||||
\(145\) | 4.66988 | + | 6.45101i | 0.387812 | + | 0.535727i | ||||
\(146\) | 4.37300 | + | 3.79668i | 0.361912 | + | 0.314216i | ||||
\(147\) | 3.74571 | − | 2.73013i | 0.308941 | − | 0.225177i | ||||
\(148\) | −7.34376 | + | 1.04129i | −0.603654 | + | 0.0855935i | ||||
\(149\) | −2.00000 | −0.163846 | −0.0819232 | − | 0.996639i | \(-0.526106\pi\) | ||||
−0.0819232 | + | 0.996639i | \(0.526106\pi\) | |||||||
\(150\) | 2.40002 | + | 4.02023i | 0.195961 | + | 0.328250i | ||||
\(151\) | − | 18.9337i | − | 1.54080i | −0.637558 | − | 0.770402i | \(-0.720055\pi\) | ||
0.637558 | − | 0.770402i | \(-0.279945\pi\) | |||||||
\(152\) | −8.60345 | + | 13.3017i | −0.697832 | + | 1.07891i | ||||
\(153\) | −5.24477 | −0.424014 | ||||||||
\(154\) | 4.34888 | + | 10.7214i | 0.350443 | + | 0.863957i | ||||
\(155\) | −11.4677 | − | 15.8415i | −0.921106 | − | 1.27242i | ||||
\(156\) | −6.12311 | + | 0.868210i | −0.490241 | + | 0.0695124i | ||||
\(157\) | −2.62238 | −0.209289 | −0.104644 | − | 0.994510i | \(-0.533370\pi\) | ||||
−0.104644 | + | 0.994510i | \(0.533370\pi\) | |||||||
\(158\) | 1.25699 | − | 1.44780i | 0.100001 | − | 0.115181i | ||||
\(159\) | 6.29033 | 0.498855 | ||||||||
\(160\) | −2.43014 | − | 12.4135i | −0.192120 | − | 0.981372i | ||||
\(161\) | 2.24621 | − | 4.41674i | 0.177026 | − | 0.348088i | ||||
\(162\) | −5.60237 | − | 4.86404i | −0.440164 | − | 0.382155i | ||||
\(163\) | 15.7392 | 1.23279 | 0.616396 | − | 0.787436i | \(-0.288592\pi\) | ||||
0.616396 | + | 0.787436i | \(0.288592\pi\) | |||||||
\(164\) | −16.8025 | + | 2.38247i | −1.31205 | + | 0.186039i | ||||
\(165\) | −2.68466 | − | 3.70861i | −0.209000 | − | 0.288715i | ||||
\(166\) | 11.5464 | − | 13.2991i | 0.896175 | − | 1.03221i | ||||
\(167\) | 8.39919i | 0.649949i | 0.945723 | + | 0.324974i | \(0.105356\pi\) | ||||
−0.945723 | + | 0.324974i | \(0.894644\pi\) | |||||||
\(168\) | 4.28479 | − | 2.48871i | 0.330578 | − | 0.192008i | ||||
\(169\) | 8.80776 | 0.677520 | ||||||||
\(170\) | 0.571528 | − | 6.44947i | 0.0438342 | − | 0.494652i | ||||
\(171\) | −14.3468 | −1.09713 | ||||||||
\(172\) | −1.19935 | − | 8.45851i | −0.0914498 | − | 0.644955i | ||||
\(173\) | −8.76487 | −0.666381 | −0.333190 | − | 0.942860i | \(-0.608125\pi\) | ||||
−0.333190 | + | 0.942860i | \(0.608125\pi\) | |||||||
\(174\) | −2.18650 | + | 2.51840i | −0.165758 | + | 0.190919i | ||||
\(175\) | 9.32881 | + | 9.37941i | 0.705192 | + | 0.709017i | ||||
\(176\) | 3.43845 | + | 11.8812i | 0.259183 | + | 0.895576i | ||||
\(177\) | 5.33464i | 0.400976i | ||||||||
\(178\) | −2.62238 | + | 3.02045i | −0.196556 | + | 0.226392i | ||||
\(179\) | 1.73642i | 0.129786i | 0.997892 | + | 0.0648931i | \(0.0206706\pi\) | ||||
−0.997892 | + | 0.0648931i | \(0.979329\pi\) | |||||||
\(180\) | 8.24450 | − | 7.95357i | 0.614509 | − | 0.592824i | ||||
\(181\) | − | 9.27944i | − | 0.689735i | −0.938651 | − | 0.344868i | \(-0.887924\pi\) | ||
0.938651 | − | 0.344868i | \(-0.112076\pi\) | |||||||
\(182\) | −16.1918 | + | 6.56779i | −1.20021 | + | 0.486837i | ||||
\(183\) | −4.27156 | −0.315763 | ||||||||
\(184\) | 2.87689 | − | 4.44793i | 0.212087 | − | 0.327906i | ||||
\(185\) | 6.71737 | − | 4.86270i | 0.493871 | − | 0.357513i | ||||
\(186\) | 5.36932 | − | 6.18435i | 0.393697 | − | 0.453459i | ||||
\(187\) | 6.33122i | 0.462984i | ||||||||
\(188\) | 0.574888 | − | 0.0815148i | 0.0419280 | − | 0.00594508i | ||||
\(189\) | 8.68466 | + | 4.41674i | 0.631716 | + | 0.321270i | ||||
\(190\) | 1.56339 | − | 17.6422i | 0.113420 | − | 1.27990i | ||||
\(191\) | 13.7245i | 0.993067i | 0.868018 | + | 0.496534i | \(0.165394\pi\) | ||||
−0.868018 | + | 0.496534i | \(0.834606\pi\) | |||||||
\(192\) | 4.83129 | − | 2.17238i | 0.348669 | − | 0.156778i | ||||
\(193\) | − | 3.70861i | − | 0.266952i | −0.991052 | − | 0.133476i | \(-0.957386\pi\) | ||
0.991052 | − | 0.133476i | \(-0.0426138\pi\) | |||||||
\(194\) | −6.55950 | − | 5.69502i | −0.470944 | − | 0.408879i | ||||
\(195\) | 5.60083 | − | 4.05444i | 0.401084 | − | 0.290344i | ||||
\(196\) | 10.0440 | − | 9.75286i | 0.717428 | − | 0.696633i | ||||
\(197\) | − | 11.1258i | − | 0.792683i | −0.918103 | − | 0.396341i | \(-0.870280\pi\) | ||
0.918103 | − | 0.396341i | \(-0.129720\pi\) | |||||||
\(198\) | −7.34376 | + | 8.45851i | −0.521899 | + | 0.601120i | ||||
\(199\) | −6.29033 | −0.445909 | −0.222955 | − | 0.974829i | \(-0.571570\pi\) | ||||
−0.222955 | + | 0.974829i | \(0.571570\pi\) | |||||||
\(200\) | 8.88207 | + | 11.0049i | 0.628057 | + | 0.778167i | ||||
\(201\) | − | 1.58831i | − | 0.112031i | ||||||
\(202\) | 2.20891 | − | 2.54421i | 0.155418 | − | 0.179010i | ||||
\(203\) | −4.27156 | + | 8.39919i | −0.299805 | + | 0.589508i | ||||
\(204\) | 2.68466 | − | 0.380664i | 0.187964 | − | 0.0266518i | ||||
\(205\) | 15.3693 | − | 11.1258i | 1.07344 | − | 0.777062i | ||||
\(206\) | −0.958664 | + | 1.10418i | −0.0667933 | + | 0.0769322i | ||||
\(207\) | 4.79741 | 0.333443 | ||||||||
\(208\) | −17.9432 | + | 5.19283i | −1.24414 | + | 0.360058i | ||||
\(209\) | 17.3188i | 1.19796i | ||||||||
\(210\) | −2.93742 | + | 4.69711i | −0.202701 | + | 0.324131i | ||||
\(211\) | 25.1181i | 1.72920i | 0.502461 | + | 0.864600i | \(0.332428\pi\) | ||||
−0.502461 | + | 0.864600i | \(0.667572\pi\) | |||||||
\(212\) | 18.8114 | − | 2.66732i | 1.29197 | − | 0.183192i | ||||
\(213\) | −6.39454 | −0.438147 | ||||||||
\(214\) | 15.6847 | + | 13.6176i | 1.07218 | + | 0.930879i | ||||
\(215\) | 5.60083 | + | 7.73704i | 0.381974 | + | 0.527662i | ||||
\(216\) | 8.74599 | + | 5.65685i | 0.595090 | + | 0.384900i | ||||
\(217\) | 10.4895 | − | 20.6256i | 0.712076 | − | 1.40016i | ||||
\(218\) | −0.468213 | − | 0.406507i | −0.0317114 | − | 0.0275322i | ||||
\(219\) | − | 2.71151i | − | 0.183227i | ||||||
\(220\) | −9.60115 | − | 9.95234i | −0.647309 | − | 0.670987i | ||||
\(221\) | −9.56155 | −0.643180 | ||||||||
\(222\) | 2.62238 | + | 2.27678i | 0.176003 | + | 0.152807i | ||||
\(223\) | − | 19.1567i | − | 1.28283i | −0.767196 | − | 0.641413i | \(-0.778349\pi\) | ||
0.767196 | − | 0.641413i | \(-0.221651\pi\) | |||||||
\(224\) | 11.7585 | − | 9.25946i | 0.785648 | − | 0.618674i | ||||
\(225\) | −4.00000 | + | 12.1671i | −0.266667 | + | 0.811141i | ||||
\(226\) | 3.43845 | − | 3.96039i | 0.228722 | − | 0.263441i | ||||
\(227\) | − | 14.0683i | − | 0.933743i | −0.884325 | − | 0.466871i | \(-0.845381\pi\) | ||
0.884325 | − | 0.466871i | \(-0.154619\pi\) | |||||||
\(228\) | 7.34376 | − | 1.04129i | 0.486353 | − | 0.0689611i | ||||
\(229\) | − | 8.03932i | − | 0.531253i | −0.964076 | − | 0.265627i | \(-0.914421\pi\) | ||
0.964076 | − | 0.265627i | \(-0.0855788\pi\) | |||||||
\(230\) | −0.522780 | + | 5.89936i | −0.0344711 | + | 0.388992i | ||||
\(231\) | 2.45567 | − | 4.82860i | 0.161571 | − | 0.317698i | ||||
\(232\) | −5.47091 | + | 8.45851i | −0.359183 | + | 0.555328i | ||||
\(233\) | − | 7.41722i | − | 0.485918i | −0.970037 | − | 0.242959i | \(-0.921882\pi\) | ||
0.970037 | − | 0.242959i | \(-0.0781181\pi\) | |||||||
\(234\) | −12.7742 | − | 11.0907i | −0.835079 | − | 0.725024i | ||||
\(235\) | −0.525853 | + | 0.380664i | −0.0343029 | + | 0.0248318i | ||||
\(236\) | 2.26208 | + | 15.9534i | 0.147249 | + | 1.03848i | ||||
\(237\) | −0.897718 | −0.0583131 | ||||||||
\(238\) | 7.09923 | − | 2.87963i | 0.460175 | − | 0.186659i | ||||
\(239\) | − | 3.09218i | − | 0.200016i | −0.994987 | − | 0.100008i | \(-0.968113\pi\) | ||
0.994987 | − | 0.100008i | \(-0.0318869\pi\) | |||||||
\(240\) | −3.64287 | + | 4.66961i | −0.235146 | + | 0.301422i | ||||
\(241\) | − | 18.9071i | − | 1.21791i | −0.793204 | − | 0.608956i | \(-0.791589\pi\) | ||
0.793204 | − | 0.608956i | \(-0.208411\pi\) | |||||||
\(242\) | −1.53610 | − | 1.33366i | −0.0987444 | − | 0.0857309i | ||||
\(243\) | 14.5216i | 0.931561i | ||||||||
\(244\) | −12.7742 | + | 1.81129i | −0.817787 | + | 0.115956i | ||||
\(245\) | −4.84003 | + | 14.8854i | −0.309218 | + | 0.950991i | ||||
\(246\) | 6.00000 | + | 5.20926i | 0.382546 | + | 0.332130i | ||||
\(247\) | −26.1552 | −1.66422 | ||||||||
\(248\) | 13.4347 | − | 20.7713i | 0.853107 | − | 1.31898i | ||||
\(249\) | −8.24621 | −0.522582 | ||||||||
\(250\) | −14.5260 | − | 6.24465i | −0.918704 | − | 0.394947i | ||||
\(251\) | −3.14516 | −0.198521 | −0.0992605 | − | 0.995061i | \(-0.531648\pi\) | ||||
−0.0992605 | + | 0.995061i | \(0.531648\pi\) | |||||||
\(252\) | 12.8247 | + | 4.38742i | 0.807883 | + | 0.276381i | ||||
\(253\) | − | 5.79119i | − | 0.364089i | ||||||
\(254\) | −18.2462 | − | 15.8415i | −1.14487 | − | 0.993987i | ||||
\(255\) | −2.45567 | + | 1.77766i | −0.153780 | + | 0.111321i | ||||
\(256\) | 13.5270 | − | 8.54521i | 0.845437 | − | 0.534076i | ||||
\(257\) | −28.0193 | −1.74779 | −0.873897 | − | 0.486111i | \(-0.838415\pi\) | ||||
−0.873897 | + | 0.486111i | \(0.838415\pi\) | |||||||
\(258\) | −2.62238 | + | 3.02045i | −0.163262 | + | 0.188045i | ||||
\(259\) | 8.74599 | + | 4.44793i | 0.543450 | + | 0.276381i | ||||
\(260\) | 15.0303 | − | 14.4999i | 0.932137 | − | 0.899244i | ||||
\(261\) | −9.12311 | −0.564706 | ||||||||
\(262\) | −5.98107 | − | 5.19283i | −0.369512 | − | 0.320814i | ||||
\(263\) | −11.9935 | −0.739553 | −0.369776 | − | 0.929121i | \(-0.620566\pi\) | ||||
−0.369776 | + | 0.929121i | \(0.620566\pi\) | |||||||
\(264\) | 3.14516 | − | 4.86270i | 0.193571 | − | 0.299278i | ||||
\(265\) | −17.2069 | + | 12.4561i | −1.05701 | + | 0.765170i | ||||
\(266\) | 19.4196 | − | 7.87709i | 1.19069 | − | 0.482976i | ||||
\(267\) | 1.87285 | 0.114617 | ||||||||
\(268\) | −0.673500 | − | 4.74990i | −0.0411406 | − | 0.290146i | ||||
\(269\) | 16.5246i | 1.00752i | 0.863843 | + | 0.503761i | \(0.168051\pi\) | ||||
−0.863843 | + | 0.503761i | \(0.831949\pi\) | |||||||
\(270\) | −11.6000 | − | 1.02794i | −0.705951 | − | 0.0625587i | ||||
\(271\) | −8.74599 | −0.531281 | −0.265641 | − | 0.964072i | \(-0.585583\pi\) | ||||
−0.265641 | + | 0.964072i | \(0.585583\pi\) | |||||||
\(272\) | 7.86715 | − | 2.27678i | 0.477016 | − | 0.138050i | ||||
\(273\) | 7.29226 | + | 3.70861i | 0.441348 | + | 0.224455i | ||||
\(274\) | 12.2462 | − | 14.1051i | 0.739821 | − | 0.852122i | ||||
\(275\) | 14.6875 | + | 4.82860i | 0.885691 | + | 0.291175i | ||||
\(276\) | −2.45567 | + | 0.348195i | −0.147814 | + | 0.0209589i | ||||
\(277\) | − | 2.08258i | − | 0.125130i | −0.998041 | − | 0.0625651i | \(-0.980072\pi\) | ||
0.998041 | − | 0.0625651i | \(-0.0199281\pi\) | |||||||
\(278\) | 15.3208 | + | 13.3017i | 0.918882 | + | 0.797783i | ||||
\(279\) | 22.4033 | 1.34125 | ||||||||
\(280\) | −6.79272 | + | 15.2924i | −0.405943 | + | 0.913898i | ||||
\(281\) | −20.0540 | −1.19632 | −0.598160 | − | 0.801377i | \(-0.704101\pi\) | ||||
−0.598160 | + | 0.801377i | \(0.704101\pi\) | |||||||
\(282\) | −0.205287 | − | 0.178232i | −0.0122246 | − | 0.0106136i | ||||
\(283\) | 19.5285i | 1.16085i | 0.814314 | + | 0.580425i | \(0.197113\pi\) | ||||
−0.814314 | + | 0.580425i | \(0.802887\pi\) | |||||||
\(284\) | −19.1231 | + | 2.71151i | −1.13475 | + | 0.160899i | ||||
\(285\) | −6.71737 | + | 4.86270i | −0.397903 | + | 0.288041i | ||||
\(286\) | −13.3882 | + | 15.4204i | −0.791659 | + | 0.911828i | ||||
\(287\) | 20.0108 | + | 10.1768i | 1.18120 | + | 0.600720i | ||||
\(288\) | 13.1514 | + | 6.08356i | 0.774955 | + | 0.358477i | ||||
\(289\) | −12.8078 | −0.753398 | ||||||||
\(290\) | 0.994155 | − | 11.2187i | 0.0583788 | − | 0.658782i | ||||
\(291\) | 4.06727i | 0.238427i | ||||||||
\(292\) | −1.14978 | − | 8.10887i | −0.0672856 | − | 0.474536i | ||||
\(293\) | 15.1594 | 0.885622 | 0.442811 | − | 0.896615i | \(-0.353981\pi\) | ||||
0.442811 | + | 0.896615i | \(0.353981\pi\) | |||||||
\(294\) | −6.53125 | − | 0.557364i | −0.380910 | − | 0.0325062i | ||||
\(295\) | −10.5636 | − | 14.5927i | −0.615038 | − | 0.849618i | ||||
\(296\) | 8.80776 | + | 5.69681i | 0.511941 | + | 0.331120i | ||||
\(297\) | 11.3873 | 0.660755 | ||||||||
\(298\) | 2.13578 | + | 1.85431i | 0.123722 | + | 0.107417i | ||||
\(299\) | 8.74599 | 0.505794 | ||||||||
\(300\) | 1.16441 | − | 6.51835i | 0.0672271 | − | 0.376337i | ||||
\(301\) | −5.12311 | + | 10.0736i | −0.295291 | + | 0.580632i | ||||
\(302\) | −17.5544 | + | 20.2191i | −1.01014 | + | 1.16348i | ||||
\(303\) | −1.57756 | −0.0906284 | ||||||||
\(304\) | 21.5202 | − | 6.22803i | 1.23427 | − | 0.357202i | ||||
\(305\) | 11.6847 | − | 8.45851i | 0.669062 | − | 0.484333i | ||||
\(306\) | 5.60083 | + | 4.86270i | 0.320178 | + | 0.277982i | ||||
\(307\) | − | 26.1500i | − | 1.49246i | −0.665687 | − | 0.746231i | \(-0.731861\pi\) | ||
0.665687 | − | 0.746231i | \(-0.268139\pi\) | |||||||
\(308\) | 5.29627 | − | 15.4814i | 0.301783 | − | 0.882133i | ||||
\(309\) | 0.684658 | 0.0389489 | ||||||||
\(310\) | −2.44132 | + | 27.5493i | −0.138657 | + | 1.56470i | ||||
\(311\) | −19.9477 | −1.13113 | −0.565564 | − | 0.824704i | \(-0.691341\pi\) | ||||
−0.565564 | + | 0.824704i | \(0.691341\pi\) | |||||||
\(312\) | 7.34376 | + | 4.74990i | 0.415759 | + | 0.268910i | ||||
\(313\) | 11.3873 | 0.643646 | 0.321823 | − | 0.946800i | \(-0.395704\pi\) | ||||
0.321823 | + | 0.946800i | \(0.395704\pi\) | |||||||
\(314\) | 2.80042 | + | 2.43135i | 0.158037 | + | 0.137209i | ||||
\(315\) | −14.9701 | + | 2.35611i | −0.843468 | + | 0.132752i | ||||
\(316\) | −2.68466 | + | 0.380664i | −0.151024 | + | 0.0214140i | ||||
\(317\) | 31.7515i | 1.78334i | 0.452686 | + | 0.891670i | \(0.350466\pi\) | ||||
−0.452686 | + | 0.891670i | \(0.649534\pi\) | |||||||
\(318\) | −6.71737 | − | 5.83209i | −0.376692 | − | 0.327047i | ||||
\(319\) | 11.0129i | 0.616607i | ||||||||
\(320\) | −8.91406 | + | 15.5093i | −0.498311 | + | 0.866998i | ||||
\(321\) | − | 9.72540i | − | 0.542819i | ||||||
\(322\) | −6.49370 | + | 2.63401i | −0.361880 | + | 0.146788i | ||||
\(323\) | 11.4677 | 0.638079 | ||||||||
\(324\) | 1.47301 | + | 10.3885i | 0.0818340 | + | 0.577140i | ||||
\(325\) | −7.29226 | + | 22.1815i | −0.404502 | + | 1.23041i | ||||
\(326\) | −16.8078 | − | 14.5927i | −0.930896 | − | 0.808213i | ||||
\(327\) | 0.290319i | 0.0160547i | ||||||||
\(328\) | 20.1521 | + | 13.0343i | 1.11271 | + | 0.719697i | ||||
\(329\) | −0.684658 | − | 0.348195i | −0.0377464 | − | 0.0191966i | ||||
\(330\) | −0.571528 | + | 6.44947i | −0.0314616 | + | 0.355032i | ||||
\(331\) | 1.73642i | 0.0954423i | 0.998861 | + | 0.0477211i | \(0.0151959\pi\) | ||||
−0.998861 | + | 0.0477211i | \(0.984804\pi\) | |||||||
\(332\) | −24.6606 | + | 3.49668i | −1.35343 | + | 0.191905i | ||||
\(333\) | 9.49980i | 0.520586i | ||||||||
\(334\) | 7.78733 | − | 8.96941i | 0.426104 | − | 0.490784i | ||||
\(335\) | 3.14516 | + | 4.34475i | 0.171839 | + | 0.237379i | ||||
\(336\) | −6.88309 | − | 1.31499i | −0.375503 | − | 0.0717384i | ||||
\(337\) | − | 5.33464i | − | 0.290596i | −0.989388 | − | 0.145298i | \(-0.953586\pi\) | ||
0.989388 | − | 0.145298i | \(-0.0464141\pi\) | |||||||
\(338\) | −9.40572 | − | 8.16614i | −0.511604 | − | 0.444179i | ||||
\(339\) | −2.45567 | −0.133374 | ||||||||
\(340\) | −6.58998 | + | 6.35743i | −0.357392 | + | 0.344780i | ||||
\(341\) | − | 27.0442i | − | 1.46452i | ||||||
\(342\) | 15.3208 | + | 13.3017i | 0.828455 | + | 0.719273i | ||||
\(343\) | −18.2856 | + | 2.93893i | −0.987329 | + | 0.158687i | ||||
\(344\) | −6.56155 | + | 10.1447i | −0.353775 | + | 0.546968i | ||||
\(345\) | 2.24621 | − | 1.62603i | 0.120932 | − | 0.0875425i | ||||
\(346\) | 9.35991 | + | 8.12637i | 0.503192 | + | 0.436876i | ||||
\(347\) | −4.27156 | −0.229309 | −0.114655 | − | 0.993405i | \(-0.536576\pi\) | ||||
−0.114655 | + | 0.993405i | \(0.536576\pi\) | |||||||
\(348\) | 4.66988 | − | 0.662153i | 0.250332 | − | 0.0354952i | ||||
\(349\) | − | 36.3236i | − | 1.94436i | −0.234241 | − | 0.972179i | \(-0.575260\pi\) | ||
0.234241 | − | 0.972179i | \(-0.424740\pi\) | |||||||
\(350\) | −1.26600 | − | 18.6654i | −0.0676705 | − | 0.997708i | ||||
\(351\) | 17.1973i | 0.917924i | ||||||||
\(352\) | 7.34376 | − | 15.8757i | 0.391424 | − | 0.846179i | ||||
\(353\) | 27.1216 | 1.44353 | 0.721767 | − | 0.692136i | \(-0.243330\pi\) | ||||
0.721767 | + | 0.692136i | \(0.243330\pi\) | |||||||
\(354\) | 4.94602 | − | 5.69681i | 0.262878 | − | 0.302782i | ||||
\(355\) | 17.4920 | − | 12.6624i | 0.928378 | − | 0.672052i | ||||
\(356\) | 5.60083 | − | 0.794156i | 0.296843 | − | 0.0420902i | ||||
\(357\) | −3.19727 | − | 1.62603i | −0.169218 | − | 0.0860586i | ||||
\(358\) | 1.60993 | − | 1.85431i | 0.0850873 | − | 0.0980031i | ||||
\(359\) | − | 26.4738i | − | 1.39724i | −0.715495 | − | 0.698618i | \(-0.753799\pi\) | ||
0.715495 | − | 0.698618i | \(-0.246201\pi\) | |||||||
\(360\) | −16.1784 | + | 0.849629i | −0.852676 | + | 0.0447794i | ||||
\(361\) | 12.3693 | 0.651017 | ||||||||
\(362\) | −8.60345 | + | 9.90941i | −0.452187 | + | 0.520827i | ||||
\(363\) | 0.952473i | 0.0499919i | ||||||||
\(364\) | 23.3803 | + | 7.99855i | 1.22546 | + | 0.419238i | ||||
\(365\) | 5.36932 | + | 7.41722i | 0.281043 | + | 0.388235i | ||||
\(366\) | 4.56155 | + | 3.96039i | 0.238436 | + | 0.207013i | ||||
\(367\) | 31.8191i | 1.66094i | 0.557061 | + | 0.830472i | \(0.311929\pi\) | ||||
−0.557061 | + | 0.830472i | \(0.688071\pi\) | |||||||
\(368\) | −7.19612 | + | 2.08258i | −0.375124 | + | 0.108562i | ||||
\(369\) | 21.7355i | 1.13150i | ||||||||
\(370\) | −11.6819 | − | 1.03520i | −0.607312 | − | 0.0538177i | ||||
\(371\) | −22.4033 | − | 11.3936i | −1.16312 | − | 0.591527i | ||||
\(372\) | −11.4677 | + | 1.62603i | −0.594571 | + | 0.0843057i | ||||
\(373\) | − | 22.7082i | − | 1.17579i | −0.808938 | − | 0.587893i | \(-0.799957\pi\) | ||
0.808938 | − | 0.587893i | \(-0.200043\pi\) | |||||||
\(374\) | 5.87000 | − | 6.76104i | 0.303531 | − | 0.349605i | ||||
\(375\) | 2.25106 | + | 7.05256i | 0.116244 | + | 0.364193i | ||||
\(376\) | −0.689494 | − | 0.445960i | −0.0355579 | − | 0.0229986i | ||||
\(377\) | −16.6320 | −0.856593 | ||||||||
\(378\) | −5.17927 | − | 12.7686i | −0.266393 | − | 0.656746i | ||||
\(379\) | − | 5.20926i | − | 0.267582i | −0.991010 | − | 0.133791i | \(-0.957285\pi\) | ||
0.991010 | − | 0.133791i | \(-0.0427150\pi\) | |||||||
\(380\) | −18.0266 | + | 17.3905i | −0.924744 | + | 0.892112i | ||||
\(381\) | 11.3137i | 0.579619i | ||||||||
\(382\) | 12.7247 | − | 14.6562i | 0.651051 | − | 0.749877i | ||||
\(383\) | − | 26.9752i | − | 1.37837i | −0.724586 | − | 0.689185i | \(-0.757969\pi\) | ||
0.724586 | − | 0.689185i | \(-0.242031\pi\) | |||||||
\(384\) | −7.17341 | − | 2.15949i | −0.366067 | − | 0.110201i | ||||
\(385\) | 2.84418 | + | 18.0711i | 0.144953 | + | 0.920989i | ||||
\(386\) | −3.43845 | + | 3.96039i | −0.175012 | + | 0.201578i | ||||
\(387\) | −10.9418 | −0.556204 | ||||||||
\(388\) | 1.72466 | + | 12.1633i | 0.0875566 | + | 0.617498i | ||||
\(389\) | 16.9309 | 0.858429 | 0.429215 | − | 0.903203i | \(-0.358790\pi\) | ||||
0.429215 | + | 0.903203i | \(0.358790\pi\) | |||||||
\(390\) | −9.74015 | − | 0.863136i | −0.493212 | − | 0.0437066i | ||||
\(391\) | −3.83466 | −0.193927 | ||||||||
\(392\) | −19.7683 | + | 1.10266i | −0.998448 | + | 0.0556928i | ||||
\(393\) | 3.70861i | 0.187075i | ||||||||
\(394\) | −10.3153 | + | 11.8812i | −0.519679 | + | 0.598564i | ||||
\(395\) | 2.45567 | − | 1.77766i | 0.123558 | − | 0.0894436i | ||||
\(396\) | 15.6847 | − | 2.22397i | 0.788184 | − | 0.111758i | ||||
\(397\) | 12.8599 | 0.645418 | 0.322709 | − | 0.946498i | \(-0.395407\pi\) | ||||
0.322709 | + | 0.946498i | \(0.395407\pi\) | |||||||
\(398\) | 6.71737 | + | 5.83209i | 0.336712 | + | 0.292336i | ||||
\(399\) | −8.74599 | − | 4.44793i | −0.437847 | − | 0.222675i | ||||
\(400\) | 0.718192 | − | 19.9871i | 0.0359096 | − | 0.999355i | ||||
\(401\) | 17.5616 | 0.876982 | 0.438491 | − | 0.898736i | \(-0.355513\pi\) | ||||
0.438491 | + | 0.898736i | \(0.355513\pi\) | |||||||
\(402\) | −1.47261 | + | 1.69614i | −0.0734469 | + | 0.0845958i | ||||
\(403\) | 40.8427 | 2.03452 | ||||||||
\(404\) | −4.71774 | + | 0.668940i | −0.234717 | + | 0.0332810i | ||||
\(405\) | −6.87879 | − | 9.50242i | −0.341810 | − | 0.472179i | ||||
\(406\) | 12.3489 | − | 5.00902i | 0.612865 | − | 0.248594i | ||||
\(407\) | 11.4677 | 0.568432 | ||||||||
\(408\) | −3.21985 | − | 2.08258i | −0.159406 | − | 0.103103i | ||||
\(409\) | − | 4.76493i | − | 0.235611i | −0.993037 | − | 0.117805i | \(-0.962414\pi\) | ||
0.993037 | − | 0.117805i | \(-0.0375859\pi\) | |||||||
\(410\) | −26.7281 | − | 2.36854i | −1.32001 | − | 0.116974i | ||||
\(411\) | −8.74599 | −0.431408 | ||||||||
\(412\) | 2.04750 | − | 0.290319i | 0.100873 | − | 0.0143030i | ||||
\(413\) | 9.66259 | − | 18.9996i | 0.475465 | − | 0.934909i | ||||
\(414\) | −5.12311 | − | 4.44793i | −0.251787 | − | 0.218604i | ||||
\(415\) | 22.5571 | − | 16.3291i | 1.10729 | − | 0.801564i | ||||
\(416\) | 23.9759 | + | 11.0907i | 1.17552 | + | 0.543768i | ||||
\(417\) | − | 9.49980i | − | 0.465207i | ||||||
\(418\) | 16.0571 | − | 18.4945i | 0.785380 | − | 0.904597i | ||||
\(419\) | 20.6372 | 1.00819 | 0.504095 | − | 0.863648i | \(-0.331826\pi\) | ||||
0.504095 | + | 0.863648i | \(0.331826\pi\) | |||||||
\(420\) | 7.49178 | − | 2.29256i | 0.365561 | − | 0.111865i | ||||
\(421\) | 8.43845 | 0.411265 | 0.205632 | − | 0.978629i | \(-0.434075\pi\) | ||||
0.205632 | + | 0.978629i | \(0.434075\pi\) | |||||||
\(422\) | 23.2883 | − | 26.8233i | 1.13366 | − | 1.30574i | ||||
\(423\) | − | 0.743668i | − | 0.0361584i | ||||||
\(424\) | −22.5616 | − | 14.5927i | −1.09569 | − | 0.708683i | ||||
\(425\) | 3.19727 | − | 9.72540i | 0.155090 | − | 0.471751i | ||||
\(426\) | 6.82867 | + | 5.92872i | 0.330850 | + | 0.287247i | ||||
\(427\) | 15.2134 | + | 7.73704i | 0.736227 | + | 0.374421i | ||||
\(428\) | −4.12391 | − | 29.0841i | −0.199337 | − | 1.40584i | ||||
\(429\) | 9.56155 | 0.461636 | ||||||||
\(430\) | 1.19234 | − | 13.4551i | 0.0574999 | − | 0.648864i | ||||
\(431\) | − | 15.4609i | − | 0.744724i | −0.928087 | − | 0.372362i | \(-0.878548\pi\) | ||
0.928087 | − | 0.372362i | \(-0.121452\pi\) | |||||||
\(432\) | −4.09499 | − | 14.1498i | −0.197020 | − | 0.680781i | ||||
\(433\) | −38.5088 | −1.85062 | −0.925308 | − | 0.379218i | \(-0.876193\pi\) | ||||
−0.925308 | + | 0.379218i | \(0.876193\pi\) | |||||||
\(434\) | −30.3248 | + | 12.3005i | −1.45564 | + | 0.590443i | ||||
\(435\) | −4.27156 | + | 3.09218i | −0.204806 | + | 0.148258i | ||||
\(436\) | 0.123106 | + | 0.868210i | 0.00589569 | + | 0.0415797i | ||||
\(437\) | −10.4895 | −0.501782 | ||||||||
\(438\) | −2.51398 | + | 2.89560i | −0.120123 | + | 0.138357i | ||||
\(439\) | −23.7823 | −1.13507 | −0.567534 | − | 0.823350i | \(-0.692102\pi\) | ||||
−0.567534 | + | 0.823350i | \(0.692102\pi\) | |||||||
\(440\) | 1.02563 | + | 19.5297i | 0.0488949 | + | 0.931043i | ||||
\(441\) | −10.5616 | − | 14.4903i | −0.502931 | − | 0.690016i | ||||
\(442\) | 10.2107 | + | 8.86502i | 0.485673 | + | 0.421666i | ||||
\(443\) | 13.8664 | 0.658812 | 0.329406 | − | 0.944188i | \(-0.393152\pi\) | ||||
0.329406 | + | 0.944188i | \(0.393152\pi\) | |||||||
\(444\) | −0.689494 | − | 4.86270i | −0.0327219 | − | 0.230773i | ||||
\(445\) | −5.12311 | + | 3.70861i | −0.242858 | + | 0.175805i | ||||
\(446\) | −17.7612 | + | 20.4572i | −0.841015 | + | 0.968677i | ||||
\(447\) | − | 1.32431i | − | 0.0626376i | ||||||
\(448\) | −21.1417 | − | 1.01384i | −0.998852 | − | 0.0478996i | ||||
\(449\) | 18.6847 | 0.881784 | 0.440892 | − | 0.897560i | \(-0.354662\pi\) | ||||
0.440892 | + | 0.897560i | \(0.354662\pi\) | |||||||
\(450\) | 15.5523 | − | 9.28453i | 0.733144 | − | 0.437677i | ||||
\(451\) | 26.2380 | 1.23550 | ||||||||
\(452\) | −7.34376 | + | 1.04129i | −0.345422 | + | 0.0489782i | ||||
\(453\) | 12.5370 | 0.589041 | ||||||||
\(454\) | −13.0434 | + | 15.0233i | −0.612158 | + | 0.705080i | ||||
\(455\) | −27.2914 | + | 4.29535i | −1.27944 | + | 0.201369i | ||||
\(456\) | −8.80776 | − | 5.69681i | −0.412461 | − | 0.266777i | ||||
\(457\) | 37.5427i | 1.75617i | 0.478504 | + | 0.878086i | \(0.341179\pi\) | ||||
−0.478504 | + | 0.878086i | \(0.658821\pi\) | |||||||
\(458\) | −7.45368 | + | 8.58511i | −0.348287 | + | 0.401156i | ||||
\(459\) | − | 7.54011i | − | 0.351942i | ||||||
\(460\) | 6.02788 | − | 5.81517i | 0.281051 | − | 0.271134i | ||||
\(461\) | − | 19.7012i | − | 0.917578i | −0.888545 | − | 0.458789i | \(-0.848283\pi\) | ||
0.888545 | − | 0.458789i | \(-0.151717\pi\) | |||||||
\(462\) | −7.09923 | + | 2.87963i | −0.330286 | + | 0.133972i | ||||
\(463\) | −27.2069 | −1.26441 | −0.632206 | − | 0.774800i | \(-0.717850\pi\) | ||||
−0.632206 | + | 0.774800i | \(0.717850\pi\) | |||||||
\(464\) | 13.6847 | − | 3.96039i | 0.635294 | − | 0.183856i | ||||
\(465\) | 10.4895 | − | 7.59336i | 0.486440 | − | 0.352134i | ||||
\(466\) | −6.87689 | + | 7.92077i | −0.318566 | + | 0.366923i | ||||
\(467\) | − | 31.0297i | − | 1.43588i | −0.696104 | − | 0.717941i | \(-0.745085\pi\) | ||
0.696104 | − | 0.717941i | \(-0.254915\pi\) | |||||||
\(468\) | 3.35869 | + | 23.6873i | 0.155255 | + | 1.09495i | ||||
\(469\) | −2.87689 | + | 5.65685i | −0.132843 | + | 0.261209i | ||||
\(470\) | 0.914487 | + | 0.0810384i | 0.0421821 | + | 0.00373802i | ||||
\(471\) | − | 1.73642i | − | 0.0800100i | ||||||
\(472\) | 12.3756 | − | 19.1338i | 0.569634 | − | 0.880704i | ||||
\(473\) | 13.2084i | 0.607323i | ||||||||
\(474\) | 0.958664 | + | 0.832322i | 0.0440329 | + | 0.0382298i | ||||
\(475\) | 8.74599 | − | 26.6034i | 0.401294 | − | 1.22065i | ||||
\(476\) | −10.2510 | − | 3.50694i | −0.469856 | − | 0.160740i | ||||
\(477\) | − | 24.3342i | − | 1.11419i | ||||||
\(478\) | −2.86692 | + | 3.30210i | −0.131130 | + | 0.151035i | ||||
\(479\) | 3.83466 | 0.175210 | 0.0876050 | − | 0.996155i | \(-0.472079\pi\) | ||||
0.0876050 | + | 0.996155i | \(0.472079\pi\) | |||||||
\(480\) | 8.21963 | − | 1.60913i | 0.375173 | − | 0.0734463i | ||||
\(481\) | 17.3188i | 0.789667i | ||||||||
\(482\) | −17.5297 | + | 20.1907i | −0.798458 | + | 0.919659i | ||||
\(483\) | 2.92456 | + | 1.48734i | 0.133072 | + | 0.0676762i | ||||
\(484\) | 0.403882 | + | 2.84840i | 0.0183583 | + | 0.129473i | ||||
\(485\) | −8.05398 | − | 11.1258i | −0.365712 | − | 0.505198i | ||||
\(486\) | 13.4637 | − | 15.5075i | 0.610728 | − | 0.703433i | ||||
\(487\) | −38.9699 | −1.76589 | −0.882947 | − | 0.469473i | \(-0.844444\pi\) | ||||
−0.882947 | + | 0.469473i | \(0.844444\pi\) | |||||||
\(488\) | 15.3208 | + | 9.90941i | 0.693541 | + | 0.448578i | ||||
\(489\) | 10.4218i | 0.471290i | ||||||||
\(490\) | 18.9696 | − | 11.4085i | 0.856960 | − | 0.515383i | ||||
\(491\) | − | 6.56502i | − | 0.296275i | −0.988967 | − | 0.148138i | \(-0.952672\pi\) | ||
0.988967 | − | 0.148138i | \(-0.0473278\pi\) | |||||||
\(492\) | −1.57756 | − | 11.1258i | −0.0711218 | − | 0.501591i | ||||
\(493\) | 7.29226 | 0.328427 | ||||||||
\(494\) | 27.9309 | + | 24.2499i | 1.25667 | + | 1.09105i | ||||
\(495\) | −14.3468 | + | 10.3857i | −0.644842 | + | 0.466800i | ||||
\(496\) | −33.6050 | + | 9.72540i | −1.50891 | + | 0.436683i | ||||
\(497\) | 22.7745 | + | 11.5824i | 1.02158 | + | 0.519541i | ||||
\(498\) | 8.80604 | + | 7.64550i | 0.394608 | + | 0.342603i | ||||
\(499\) | 34.0139i | 1.52267i | 0.648357 | + | 0.761336i | \(0.275456\pi\) | ||||
−0.648357 | + | 0.761336i | \(0.724544\pi\) | |||||||
\(500\) | 9.72240 | + | 20.1364i | 0.434799 | + | 0.900527i | ||||
\(501\) | −5.56155 | −0.248472 | ||||||||
\(502\) | 3.35869 | + | 2.91605i | 0.149906 | + | 0.130149i | ||||
\(503\) | − | 7.81855i | − | 0.348612i | −0.984692 | − | 0.174306i | \(-0.944232\pi\) | ||
0.984692 | − | 0.174306i | \(-0.0557682\pi\) | |||||||
\(504\) | −9.62760 | − | 16.5758i | −0.428848 | − | 0.738344i | ||||
\(505\) | 4.31534 | − | 3.12387i | 0.192030 | − | 0.139010i | ||||
\(506\) | −5.36932 | + | 6.18435i | −0.238695 | + | 0.274928i | ||||
\(507\) | 5.83209i | 0.259012i | ||||||||
\(508\) | 4.79741 | + | 33.8340i | 0.212851 | + | 1.50114i | ||||
\(509\) | 1.14235i | 0.0506338i | 0.999679 | + | 0.0253169i | \(0.00805948\pi\) | ||||
−0.999679 | + | 0.0253169i | \(0.991941\pi\) | |||||||
\(510\) | 4.27054 | + | 0.378439i | 0.189103 | + | 0.0167576i | ||||
\(511\) | −4.91134 | + | 9.65719i | −0.217265 | + | 0.427209i | ||||
\(512\) | −22.3680 | − | 3.41624i | −0.988537 | − | 0.150978i | ||||
\(513\) | − | 20.6256i | − | 0.910644i | ||||||
\(514\) | 29.9215 | + | 25.9781i | 1.31978 | + | 1.14585i | ||||
\(515\) | −1.87285 | + | 1.35576i | −0.0825278 | + | 0.0597417i | ||||
\(516\) | 5.60083 | − | 0.794156i | 0.246563 | − | 0.0349608i | ||||
\(517\) | −0.897718 | −0.0394816 | ||||||||
\(518\) | −5.21585 | − | 12.8588i | −0.229171 | − | 0.564982i | ||||
\(519\) | − | 5.80369i | − | 0.254754i | ||||||
\(520\) | −29.4943 | + | 1.54893i | −1.29341 | + | 0.0679250i | ||||
\(521\) | 2.82843i | 0.123916i | 0.998079 | + | 0.0619578i | \(0.0197344\pi\) | ||||
−0.998079 | + | 0.0619578i | \(0.980266\pi\) | |||||||
\(522\) | 9.74247 | + | 8.45851i | 0.426416 | + | 0.370219i | ||||
\(523\) | 7.15640i | 0.312927i | 0.987684 | + | 0.156464i | \(0.0500094\pi\) | ||||
−0.987684 | + | 0.156464i | \(0.949991\pi\) | |||||||
\(524\) | 1.57258 | + | 11.0907i | 0.0686985 | + | 0.484501i | ||||
\(525\) | −6.21061 | + | 6.17710i | −0.271053 | + | 0.269591i | ||||
\(526\) | 12.8078 | + | 11.1198i | 0.558445 | + | 0.484848i | ||||
\(527\) | −17.9074 | −0.780058 | ||||||||
\(528\) | −7.86715 | + | 2.27678i | −0.342374 | + | 0.0990841i | ||||
\(529\) | −19.4924 | −0.847497 | ||||||||
\(530\) | 29.9237 | + | 2.65173i | 1.29980 | + | 0.115184i | ||||
\(531\) | 20.6372 | 0.895576 | ||||||||
\(532\) | −28.0413 | − | 9.59309i | −1.21574 | − | 0.415913i | ||||
\(533\) | 39.6252i | 1.71636i | ||||||||
\(534\) | −2.00000 | − | 1.73642i | −0.0865485 | − | 0.0751422i | ||||
\(535\) | 19.2582 | + | 26.6034i | 0.832603 | + | 1.15016i | ||||
\(536\) | −3.68466 | + | 5.69681i | −0.159153 | + | 0.246065i | ||||
\(537\) | −1.14978 | −0.0496165 | ||||||||
\(538\) | 15.3208 | − | 17.6465i | 0.660528 | − | 0.760793i | ||||
\(539\) | −17.4920 | + | 12.7494i | −0.753433 | + | 0.549154i | ||||
\(540\) | 11.4344 | + | 11.8527i | 0.492058 | + | 0.510057i | ||||
\(541\) | −23.5616 | −1.01299 | −0.506495 | − | 0.862243i | \(-0.669059\pi\) | ||||
−0.506495 | + | 0.862243i | \(0.669059\pi\) | |||||||
\(542\) | 9.33976 | + | 8.10887i | 0.401177 | + | 0.348306i | ||||
\(543\) | 6.14441 | 0.263682 | ||||||||
\(544\) | −10.5122 | − | 4.86270i | −0.450706 | − | 0.208486i | ||||
\(545\) | −0.574888 | − | 0.794156i | −0.0246255 | − | 0.0340179i | ||||
\(546\) | −4.34888 | − | 10.7214i | −0.186115 | − | 0.458835i | ||||
\(547\) | 37.3923 | 1.59878 | 0.799390 | − | 0.600812i | \(-0.205156\pi\) | ||||
0.799390 | + | 0.600812i | \(0.205156\pi\) | |||||||
\(548\) | −26.1552 | + | 3.70861i | −1.11729 | + | 0.158424i | ||||
\(549\) | 16.5246i | 0.705253i | ||||||||
\(550\) | −11.2078 | − | 18.7740i | −0.477903 | − | 0.800525i | ||||
\(551\) | 19.9477 | 0.849799 | ||||||||
\(552\) | 2.94521 | + | 1.90495i | 0.125357 | + | 0.0810799i | ||||
\(553\) | 3.19727 | + | 1.62603i | 0.135962 | + | 0.0691458i | ||||
\(554\) | −1.93087 | + | 2.22397i | −0.0820348 | + | 0.0944873i | ||||
\(555\) | 3.21985 | + | 4.44793i | 0.136675 | + | 0.188804i | ||||
\(556\) | −4.02825 | − | 28.4095i | −0.170836 | − | 1.20483i | ||||
\(557\) | 9.49980i | 0.402519i | 0.979538 | + | 0.201260i | \(0.0645035\pi\) | ||||
−0.979538 | + | 0.201260i | \(0.935496\pi\) | |||||||
\(558\) | −23.9243 | − | 20.7713i | −1.01280 | − | 0.879319i | ||||
\(559\) | −19.9477 | −0.843696 | ||||||||
\(560\) | 21.4323 | − | 10.0328i | 0.905680 | − | 0.423961i | ||||
\(561\) | −4.19224 | −0.176996 | ||||||||
\(562\) | 21.4154 | + | 18.5931i | 0.903355 | + | 0.784302i | ||||
\(563\) | 27.9277i | 1.17701i | 0.808493 | + | 0.588506i | \(0.200284\pi\) | ||||
−0.808493 | + | 0.588506i | \(0.799716\pi\) | |||||||
\(564\) | 0.0539753 | + | 0.380664i | 0.00227277 | + | 0.0160289i | ||||
\(565\) | 6.71737 | − | 4.86270i | 0.282602 | − | 0.204575i | ||||
\(566\) | 18.1059 | − | 20.8543i | 0.761048 | − | 0.876571i | ||||
\(567\) | 6.29206 | − | 12.3721i | 0.264242 | − | 0.519580i | ||||
\(568\) | 22.9354 | + | 14.8344i | 0.962346 | + | 0.622439i | ||||
\(569\) | 13.8617 | 0.581114 | 0.290557 | − | 0.956858i | \(-0.406159\pi\) | ||||
0.290557 | + | 0.956858i | \(0.406159\pi\) | |||||||
\(570\) | 11.6819 | + | 1.03520i | 0.489300 | + | 0.0433599i | ||||
\(571\) | 17.5780i | 0.735615i | 0.929902 | + | 0.367807i | \(0.119891\pi\) | ||||
−0.929902 | + | 0.367807i | \(0.880109\pi\) | |||||||
\(572\) | 28.5942 | − | 4.05444i | 1.19558 | − | 0.169524i | ||||
\(573\) | −9.08770 | −0.379644 | ||||||||
\(574\) | −11.9338 | − | 29.4208i | −0.498108 | − | 1.22800i | ||||
\(575\) | −2.92456 | + | 8.89586i | −0.121963 | + | 0.370983i | ||||
\(576\) | −8.40388 | − | 18.6899i | −0.350162 | − | 0.778748i | ||||
\(577\) | 18.9316 | 0.788132 | 0.394066 | − | 0.919082i | \(-0.371068\pi\) | ||||
0.394066 | + | 0.919082i | \(0.371068\pi\) | |||||||
\(578\) | 13.6773 | + | 11.8748i | 0.568900 | + | 0.493925i | ||||
\(579\) | 2.45567 | 0.102054 | ||||||||
\(580\) | −11.4631 | + | 11.0586i | −0.475977 | + | 0.459181i | ||||
\(581\) | 29.3693 | + | 14.9363i | 1.21844 | + | 0.619662i | ||||
\(582\) | 3.77098 | − | 4.34339i | 0.156312 | − | 0.180039i | ||||
\(583\) | −29.3751 | −1.21659 | ||||||||
\(584\) | −6.29033 | + | 9.72540i | −0.260296 | + | 0.402440i | ||||
\(585\) | −15.6847 | − | 21.6669i | −0.648481 | − | 0.895817i | ||||
\(586\) | −16.1886 | − | 14.0551i | −0.668744 | − | 0.580610i | ||||
\(587\) | 9.06134i | 0.374002i | 0.982360 | + | 0.187001i | \(0.0598767\pi\) | ||||
−0.982360 | + | 0.187001i | \(0.940123\pi\) | |||||||
\(588\) | 6.45789 | + | 6.65066i | 0.266319 | + | 0.274269i | ||||
\(589\) | −48.9848 | −2.01839 | ||||||||
\(590\) | −2.24885 | + | 25.3774i | −0.0925839 | + | 1.04477i | ||||
\(591\) | 7.36701 | 0.303038 | ||||||||
\(592\) | −4.12391 | − | 14.2497i | −0.169492 | − | 0.585659i | ||||
\(593\) | −31.2165 | −1.28191 | −0.640955 | − | 0.767579i | \(-0.721461\pi\) | ||||
−0.640955 | + | 0.767579i | \(0.721461\pi\) | |||||||
\(594\) | −12.1603 | − | 10.5577i | −0.498944 | − | 0.433188i | ||||
\(595\) | 11.9658 | − | 1.88328i | 0.490552 | − | 0.0772071i | ||||
\(596\) | −0.561553 | − | 3.96039i | −0.0230021 | − | 0.162224i | ||||
\(597\) | − | 4.16516i | − | 0.170469i | ||||||
\(598\) | −9.33976 | − | 8.10887i | −0.381931 | − | 0.331596i | ||||
\(599\) | − | 14.4858i | − | 0.591873i | −0.955208 | − | 0.295937i | \(-0.904368\pi\) | ||
0.955208 | − | 0.295937i | \(-0.0956317\pi\) | |||||||
\(600\) | −7.28696 | + | 5.88129i | −0.297489 | + | 0.240103i | ||||
\(601\) | 39.4024i | 1.60726i | 0.595130 | + | 0.803630i | \(0.297101\pi\) | ||||
−0.595130 | + | 0.803630i | \(0.702899\pi\) | |||||||
\(602\) | 14.8107 | − | 6.00758i | 0.603638 | − | 0.244851i | ||||
\(603\) | −6.14441 | −0.250220 | ||||||||
\(604\) | 37.4924 | − | 5.31614i | 1.52555 | − | 0.216311i | ||||
\(605\) | −1.88608 | − | 2.60545i | −0.0766801 | − | 0.105926i | ||||
\(606\) | 1.68466 | + | 1.46264i | 0.0684346 | + | 0.0594156i | ||||
\(607\) | 10.6302i | 0.431466i | 0.976452 | + | 0.215733i | \(0.0692141\pi\) | ||||
−0.976452 | + | 0.215733i | \(0.930786\pi\) | |||||||
\(608\) | −28.7556 | − | 13.3017i | −1.16619 | − | 0.539455i | ||||
\(609\) | −5.56155 | − | 2.82843i | −0.225365 | − | 0.114614i | ||||
\(610\) | −20.3203 | − | 1.80071i | −0.822743 | − | 0.0729084i | ||||
\(611\) | − | 1.35576i | − | 0.0548480i | ||||||
\(612\) | −1.47261 | − | 10.3857i | −0.0595266 | − | 0.419815i | ||||
\(613\) | 13.6650i | 0.551923i | 0.961169 | + | 0.275961i | \(0.0889962\pi\) | ||||
−0.961169 | + | 0.275961i | \(0.911004\pi\) | |||||||
\(614\) | −24.2451 | + | 27.9254i | −0.978452 | + | 1.12698i | ||||
\(615\) | 7.36701 | + | 10.1768i | 0.297066 | + | 0.410370i | ||||
\(616\) | −20.0094 | + | 11.6220i | −0.806203 | + | 0.468262i | ||||
\(617\) | − | 35.9166i | − | 1.44595i | −0.690875 | − | 0.722974i | \(-0.742774\pi\) | ||
0.690875 | − | 0.722974i | \(-0.257226\pi\) | |||||||
\(618\) | −0.731140 | − | 0.634783i | −0.0294107 | − | 0.0255347i | ||||
\(619\) | −10.5122 | −0.422520 | −0.211260 | − | 0.977430i | \(-0.567757\pi\) | ||||
−0.211260 | + | 0.977430i | \(0.567757\pi\) | |||||||
\(620\) | 28.1495 | − | 27.1561i | 1.13051 | − | 1.09062i | ||||
\(621\) | 6.89697i | 0.276766i | ||||||||
\(622\) | 21.3019 | + | 18.4945i | 0.854128 | + | 0.741563i | ||||
\(623\) | −6.67026 | − | 3.39228i | −0.267238 | − | 0.135909i | ||||
\(624\) | −3.43845 | − | 11.8812i | −0.137648 | − | 0.475627i | ||||
\(625\) | −20.1231 | − | 14.8344i | −0.804924 | − | 0.593378i | ||||
\(626\) | −12.1603 | − | 10.5577i | −0.486024 | − | 0.421971i | ||||
\(627\) | −11.4677 | −0.457975 | ||||||||
\(628\) | −0.736303 | − | 5.19283i | −0.0293817 | − | 0.207216i | ||||
\(629\) | − | 7.59336i | − | 0.302767i | ||||||
\(630\) | 18.1709 | + | 11.3635i | 0.723944 | + | 0.452732i | ||||
\(631\) | − | 32.2775i | − | 1.28495i | −0.766308 | − | 0.642474i | \(-0.777908\pi\) | ||
0.766308 | − | 0.642474i | \(-0.222092\pi\) | |||||||
\(632\) | 3.21985 | + | 2.08258i | 0.128079 | + | 0.0828406i | ||||
\(633\) | −16.6320 | −0.661063 | ||||||||
\(634\) | 29.4384 | − | 33.9071i | 1.16915 | − | 1.34662i | ||||
\(635\) | −22.4033 | − | 30.9481i | −0.889049 | − | 1.22814i | ||||
\(636\) | 1.76618 | + | 12.4561i | 0.0700334 | + | 0.493915i | ||||
\(637\) | −19.2544 | − | 26.4168i | −0.762887 | − | 1.04667i | ||||
\(638\) | 10.2107 | − | 11.7606i | 0.404245 | − | 0.465607i | ||||
\(639\) | 24.7374i | 0.978597i | ||||||||
\(640\) | 23.8988 | − | 8.29756i | 0.944681 | − | 0.327990i | ||||
\(641\) | −17.8617 | −0.705496 | −0.352748 | − | 0.935718i | \(-0.614753\pi\) | ||||
−0.352748 | + | 0.935718i | \(0.614753\pi\) | |||||||
\(642\) | −9.01693 | + | 10.3857i | −0.355870 | + | 0.409889i | ||||
\(643\) | − | 0.499124i | − | 0.0196835i | −0.999952 | − | 0.00984176i | \(-0.996867\pi\) | ||
0.999952 | − | 0.00984176i | \(-0.00313278\pi\) | |||||||
\(644\) | 9.37668 | + | 3.20782i | 0.369493 | + | 0.126406i | ||||
\(645\) | −5.12311 | + | 3.70861i | −0.201722 | + | 0.146026i | ||||
\(646\) | −12.2462 | − | 10.6323i | −0.481821 | − | 0.418322i | ||||
\(647\) | 5.87787i | 0.231083i | 0.993303 | + | 0.115541i | \(0.0368603\pi\) | ||||
−0.993303 | + | 0.115541i | \(0.963140\pi\) | |||||||
\(648\) | 8.05872 | − | 12.4595i | 0.316576 | − | 0.489455i | ||||
\(649\) | − | 24.9121i | − | 0.977886i | ||||||
\(650\) | 28.3529 | − | 16.9263i | 1.11209 | − | 0.663904i | ||||
\(651\) | 13.6573 | + | 6.94568i | 0.535273 | + | 0.272223i | ||||
\(652\) | 4.41921 | + | 31.1667i | 0.173069 | + | 1.22058i | ||||
\(653\) | − | 11.1258i | − | 0.435387i | −0.976017 | − | 0.217694i | \(-0.930147\pi\) | ||
0.976017 | − | 0.217694i | \(-0.0698534\pi\) | |||||||
\(654\) | 0.269170 | − | 0.310029i | 0.0105254 | − | 0.0121231i | ||||
\(655\) | −7.34376 | − | 10.1447i | −0.286945 | − | 0.396388i | ||||
\(656\) | −9.43549 | − | 32.6032i | −0.368394 | − | 1.27294i | ||||
\(657\) | −10.4895 | −0.409236 | ||||||||
\(658\) | 0.408309 | + | 1.00662i | 0.0159176 | + | 0.0392420i | ||||
\(659\) | 19.6950i | 0.767210i | 0.923497 | + | 0.383605i | \(0.125318\pi\) | ||||
−0.923497 | + | 0.383605i | \(0.874682\pi\) | |||||||
\(660\) | 6.58998 | − | 6.35743i | 0.256514 | − | 0.247463i | ||||
\(661\) | 42.3286i | 1.64639i | 0.567756 | + | 0.823197i | \(0.307812\pi\) | ||||
−0.567756 | + | 0.823197i | \(0.692188\pi\) | |||||||
\(662\) | 1.60993 | − | 1.85431i | 0.0625716 | − | 0.0720696i | ||||
\(663\) | − | 6.33122i | − | 0.245884i | ||||||
\(664\) | 29.5767 | + | 19.1300i | 1.14780 | + | 0.742390i | ||||
\(665\) | 32.7320 | − | 5.15164i | 1.26929 | − | 0.199772i | ||||
\(666\) | 8.80776 | − | 10.1447i | 0.341294 | − | 0.393101i | ||||
\(667\) | −6.67026 | −0.258274 | ||||||||
\(668\) | −16.6320 | + | 2.35829i | −0.643512 | + | 0.0912452i | ||||
\(669\) | 12.6847 | 0.490417 | ||||||||
\(670\) | 0.669564 | − | 7.55576i | 0.0258675 | − | 0.291905i | ||||
\(671\) | 19.9477 | 0.770071 | ||||||||
\(672\) | 6.13118 | + | 7.78593i | 0.236516 | + | 0.300349i | ||||
\(673\) | 5.79119i | 0.223234i | 0.993751 | + | 0.111617i | \(0.0356030\pi\) | ||||
−0.993751 | + | 0.111617i | \(0.964397\pi\) | |||||||
\(674\) | −4.94602 | + | 5.69681i | −0.190514 | + | 0.219433i | ||||
\(675\) | −17.4920 | − | 5.75058i | −0.673267 | − | 0.221340i | ||||
\(676\) | 2.47301 | + | 17.4411i | 0.0951159 | + | 0.670811i | ||||
\(677\) | −6.46532 | −0.248482 | −0.124241 | − | 0.992252i | \(-0.539650\pi\) | ||||
−0.124241 | + | 0.992252i | \(0.539650\pi\) | |||||||
\(678\) | 2.62238 | + | 2.27678i | 0.100712 | + | 0.0874392i | ||||
\(679\) | 7.36701 | − | 14.4858i | 0.282720 | − | 0.555914i | ||||
\(680\) | 12.9317 | − | 0.679124i | 0.495907 | − | 0.0260432i | ||||
\(681\) | 9.31534 | 0.356965 | ||||||||
\(682\) | −25.0741 | + | 28.8802i | −0.960135 | + | 1.10588i | ||||
\(683\) | 5.32326 | 0.203689 | 0.101845 | − | 0.994800i | \(-0.467526\pi\) | ||||
0.101845 | + | 0.994800i | \(0.467526\pi\) | |||||||
\(684\) | −4.02825 | − | 28.4095i | −0.154024 | − | 1.08626i | ||||
\(685\) | 23.9243 | − | 17.3188i | 0.914100 | − | 0.661716i | ||||
\(686\) | 22.2518 | + | 13.8151i | 0.849579 | + | 0.527462i | ||||
\(687\) | 5.32326 | 0.203095 | ||||||||
\(688\) | 16.4127 | − | 4.74990i | 0.625730 | − | 0.181088i | ||||
\(689\) | − | 44.3629i | − | 1.69009i | ||||||
\(690\) | −3.90628 | − | 0.346160i | −0.148710 | − | 0.0131781i | ||||
\(691\) | −12.9678 | −0.493320 | −0.246660 | − | 0.969102i | \(-0.579333\pi\) | ||||
−0.246660 | + | 0.969102i | \(0.579333\pi\) | |||||||
\(692\) | −2.46097 | − | 17.3561i | −0.0935520 | − | 0.659781i | ||||
\(693\) | −18.6795 | − | 9.49980i | −0.709576 | − | 0.360868i | ||||
\(694\) | 4.56155 | + | 3.96039i | 0.173154 | + | 0.150334i | ||||
\(695\) | 18.8114 | + | 25.9863i | 0.713559 | + | 0.985716i | ||||
\(696\) | −5.60083 | − | 3.62258i | −0.212299 | − | 0.137314i | ||||
\(697\) | − | 17.3736i | − | 0.658071i | ||||||
\(698\) | −33.6775 | + | 38.7896i | −1.27471 | + | 1.46821i | ||||
\(699\) | 4.91134 | 0.185764 | ||||||||
\(700\) | −15.9537 | + | 21.1064i | −0.602994 | + | 0.797746i | ||||
\(701\) | 47.6695 | 1.80045 | 0.900226 | − | 0.435423i | \(-0.143401\pi\) | ||||
0.900226 | + | 0.435423i | \(0.143401\pi\) | |||||||
\(702\) | 15.9445 | − | 18.3648i | 0.601787 | − | 0.693135i | ||||
\(703\) | − | 20.7713i | − | 0.783404i | ||||||
\(704\) | −22.5616 | + | 10.1447i | −0.850321 | + | 0.382344i | ||||
\(705\) | −0.252058 | − | 0.348195i | −0.00949306 | − | 0.0131138i | ||||
\(706\) | −28.9628 | − | 25.1458i | −1.09003 | − | 0.946375i | ||||
\(707\) | 5.61856 | + | 2.85742i | 0.211308 | + | 0.107464i | ||||
\(708\) | −10.5636 | + | 1.49784i | −0.397005 | + | 0.0562923i | ||||
\(709\) | 10.1922 | 0.382777 | 0.191389 | − | 0.981514i | \(-0.438701\pi\) | ||||
0.191389 | + | 0.981514i | \(0.438701\pi\) | |||||||
\(710\) | −30.4195 | − | 2.69566i | −1.14162 | − | 0.101166i | ||||
\(711\) | 3.47284i | 0.130242i | ||||||||
\(712\) | −6.71737 | − | 4.34475i | −0.251744 | − | 0.162827i | ||||
\(713\) | 16.3800 | 0.613434 | ||||||||
\(714\) | 1.90676 | + | 4.70078i | 0.0713585 | + | 0.175922i | ||||
\(715\) | −26.1552 | + | 18.9337i | −0.978149 | + | 0.708081i | ||||
\(716\) | −3.43845 | + | 0.487546i | −0.128501 | + | 0.0182204i | ||||
\(717\) | 2.04750 | 0.0764651 | ||||||||
\(718\) | −24.5453 | + | 28.2711i | −0.916022 | + | 1.05507i | ||||
\(719\) | 36.0607 | 1.34484 | 0.672418 | − | 0.740172i | \(-0.265256\pi\) | ||||
0.672418 | + | 0.740172i | \(0.265256\pi\) | |||||||
\(720\) | 18.0645 | + | 14.0925i | 0.673223 | + | 0.525197i | ||||
\(721\) | −2.43845 | − | 1.24012i | −0.0908125 | − | 0.0461843i | ||||
\(722\) | −13.2091 | − | 11.4682i | −0.491590 | − | 0.426804i | ||||
\(723\) | 12.5194 | 0.465601 | ||||||||
\(724\) | 18.3751 | − | 2.60545i | 0.682904 | − | 0.0968307i | ||||
\(725\) | 5.56155 | − | 16.9170i | 0.206551 | − | 0.628282i | ||||
\(726\) | 0.883088 | − | 1.01714i | 0.0327745 | − | 0.0377494i | ||||
\(727\) | − | 6.20393i | − | 0.230091i | −0.993360 | − | 0.115045i | \(-0.963299\pi\) | ||
0.993360 | − | 0.115045i | \(-0.0367014\pi\) | |||||||
\(728\) | −17.5517 | − | 30.2187i | −0.650511 | − | 1.11998i | ||||
\(729\) | 6.12311 | 0.226782 | ||||||||
\(730\) | 1.14306 | − | 12.8989i | 0.0423064 | − | 0.477411i | ||||
\(731\) | 8.74599 | 0.323482 | ||||||||
\(732\) | −1.19935 | − | 8.45851i | −0.0443294 | − | 0.312636i | ||||
\(733\) | −11.0644 | −0.408674 | −0.204337 | − | 0.978901i | \(-0.565504\pi\) | ||||
−0.204337 | + | 0.978901i | \(0.565504\pi\) | |||||||
\(734\) | 29.5012 | − | 33.9793i | 1.08891 | − | 1.25420i | ||||
\(735\) | −9.85640 | − | 3.20484i | −0.363559 | − | 0.118212i | ||||
\(736\) | 9.61553 | + | 4.44793i | 0.354433 | + | 0.163953i | ||||
\(737\) | 7.41722i | 0.273217i | ||||||||
\(738\) | 20.1521 | − | 23.2111i | 0.741810 | − | 0.854413i | ||||
\(739\) | 14.6996i | 0.540732i | 0.962758 | + | 0.270366i | \(0.0871447\pi\) | ||||
−0.962758 | + | 0.270366i | \(0.912855\pi\) | |||||||
\(740\) | 11.5152 | + | 11.9364i | 0.423306 | + | 0.438790i | ||||
\(741\) | − | 17.3188i | − | 0.636220i | ||||||
\(742\) | 13.3607 | + | 32.9384i | 0.490485 | + | 1.20921i | ||||
\(743\) | −4.79741 | −0.176000 | −0.0880000 | − | 0.996120i | \(-0.528048\pi\) | ||||
−0.0880000 | + | 0.996120i | \(0.528048\pi\) | |||||||
\(744\) | 13.7538 | + | 8.89586i | 0.504238 | + | 0.326138i | ||||
\(745\) | 2.62238 | + | 3.62258i | 0.0960767 | + | 0.132721i | ||||
\(746\) | −21.0540 | + | 24.2499i | −0.770841 | + | 0.887851i | ||||
\(747\) | 31.9006i | 1.16718i | ||||||||
\(748\) | −12.5370 | + | 1.77766i | −0.458399 | + | 0.0649975i | ||||
\(749\) | −17.6155 | + | 34.6375i | −0.643657 | + | 1.26563i | ||||
\(750\) | 4.13492 | − | 9.61843i | 0.150986 | − | 0.351215i | ||||
\(751\) | − | 24.3567i | − | 0.888790i | −0.895831 | − | 0.444395i | \(-0.853419\pi\) | ||
0.895831 | − | 0.444395i | \(-0.146581\pi\) | |||||||
\(752\) | 0.322830 | + | 1.11550i | 0.0117724 | + | 0.0406782i | ||||
\(753\) | − | 2.08258i | − | 0.0758934i | ||||||
\(754\) | 17.7612 | + | 15.4204i | 0.646823 | + | 0.561578i | ||||
\(755\) | −34.2945 | + | 24.8257i | −1.24810 | + | 0.903501i | ||||
\(756\) | −6.30755 | + | 18.4374i | −0.229403 | + | 0.670562i | ||||
\(757\) | 28.4994i | 1.03583i | 0.855433 | + | 0.517914i | \(0.173291\pi\) | ||||
−0.855433 | + | 0.517914i | \(0.826709\pi\) | |||||||
\(758\) | −4.82978 | + | 5.56292i | −0.175425 | + | 0.202054i | ||||
\(759\) | 3.83466 | 0.139189 | ||||||||
\(760\) | 35.3740 | − | 1.85771i | 1.28315 | − | 0.0673863i | ||||
\(761\) | 3.52482i | 0.127775i | 0.997957 | + | 0.0638873i | \(0.0203498\pi\) | ||||
−0.997957 | + | 0.0638873i | \(0.979650\pi\) | |||||||
\(762\) | 10.4895 | − | 12.0818i | 0.379996 | − | 0.437677i | ||||
\(763\) | 0.525853 | − | 1.03399i | 0.0190372 | − | 0.0374329i | ||||
\(764\) | −27.1771 | + | 3.85350i | −0.983232 | + | 0.139415i | ||||
\(765\) | 6.87689 | + | 9.49980i | 0.248635 | + | 0.343466i | ||||
\(766\) | −25.0101 | + | 28.8066i | −0.903653 | + | 1.04082i | ||||
\(767\) | 37.6229 | 1.35848 | ||||||||
\(768\) | 5.65824 | + | 8.95694i | 0.204174 | + | 0.323206i | ||||
\(769\) | 8.83348i | 0.318543i | 0.987235 | + | 0.159272i | \(0.0509146\pi\) | ||||
−0.987235 | + | 0.159272i | \(0.949085\pi\) | |||||||
\(770\) | 13.7174 | − | 21.9349i | 0.494341 | − | 0.790480i | ||||
\(771\) | − | 18.5531i | − | 0.668172i | ||||||
\(772\) | 7.34376 | − | 1.04129i | 0.264308 | − | 0.0374769i | ||||
\(773\) | −48.4234 | −1.74167 | −0.870835 | − | 0.491575i | \(-0.836421\pi\) | ||||
−0.870835 | + | 0.491575i | \(0.836421\pi\) | |||||||
\(774\) | 11.6847 | + | 10.1447i | 0.419996 | + | 0.364645i | ||||
\(775\) | −13.6573 | + | 41.5426i | −0.490586 | + | 1.49225i | ||||
\(776\) | 9.43549 | − | 14.5881i | 0.338714 | − | 0.523682i | ||||
\(777\) | −2.94521 | + | 5.79119i | −0.105659 | + | 0.207758i | ||||
\(778\) | −18.0803 | − | 15.6975i | −0.648210 | − | 0.562783i | ||||
\(779\) | − | 47.5246i | − | 1.70275i | ||||||
\(780\) | 9.60115 | + | 9.95234i | 0.343776 | + | 0.356351i | ||||
\(781\) | 29.8617 | 1.06854 | ||||||||
\(782\) | 4.09499 | + | 3.55531i | 0.146437 | + | 0.127138i | ||||
\(783\) | − | 13.1158i | − | 0.468720i | ||||||
\(784\) | 22.1327 | + | 17.1507i | 0.790452 | + | 0.612524i | ||||
\(785\) | 3.43845 | + | 4.74990i | 0.122723 | + | 0.169531i | ||||
\(786\) | 3.43845 | − | 3.96039i | 0.122645 | − | 0.141262i | ||||
\(787\) | − | 37.4882i | − | 1.33631i | −0.744023 | − | 0.668154i | \(-0.767085\pi\) | ||
0.744023 | − | 0.668154i | \(-0.232915\pi\) | |||||||
\(788\) | 22.0313 | − | 3.12387i | 0.784832 | − | 0.111283i | ||||
\(789\) | − | 7.94156i | − | 0.282727i | ||||||
\(790\) | −4.27054 | − | 0.378439i | −0.151939 | − | 0.0134643i | ||||
\(791\) | 8.74599 | + | 4.44793i | 0.310972 | + | 0.158150i | ||||
\(792\) | −18.8114 | − | 12.1671i | −0.668435 | − | 0.432340i | ||||
\(793\) | 30.1254i | 1.06979i | ||||||||
\(794\) | −13.7329 | − | 11.9231i | −0.487363 | − | 0.423133i | ||||
\(795\) | −8.24782 | − | 11.3936i | −0.292520 | − | 0.404090i | ||||
\(796\) | −1.76618 | − | 12.4561i | −0.0626004 | − | 0.441493i | ||||
\(797\) | 47.2737 | 1.67452 | 0.837260 | − | 0.546805i | \(-0.184156\pi\) | ||||
0.837260 | + | 0.546805i | \(0.184156\pi\) | |||||||
\(798\) | 5.21585 | + | 12.8588i | 0.184639 | + | 0.455196i | ||||
\(799\) | 0.594427i | 0.0210293i | ||||||||
\(800\) | −19.2980 | + | 20.6781i | −0.682289 | + | 0.731083i | ||||
\(801\) | − | 7.24517i | − | 0.255995i | ||||||
\(802\) | −18.7538 | − | 16.2822i | −0.662220 | − | 0.574946i | ||||
\(803\) | 12.6624i | 0.446847i | ||||||||
\(804\) | 3.14516 | − | 0.445960i | 0.110921 | − | 0.0157278i | ||||
\(805\) | −10.9452 | + | 1.72265i | −0.385768 | + | 0.0607153i | ||||
\(806\) | −43.6155 | − | 37.8674i | −1.53629 | − | 1.33382i | ||||
\(807\) | −10.9418 | −0.385170 | ||||||||
\(808\) | 5.65824 | + | 3.65971i | 0.199056 | + | 0.128748i | ||||
\(809\) | 10.0540 | 0.353479 | 0.176739 | − | 0.984258i | \(-0.443445\pi\) | ||||
0.176739 | + | 0.984258i | \(0.443445\pi\) | |||||||
\(810\) | −1.46440 | + | 16.5252i | −0.0514539 | + | 0.580637i | ||||
\(811\) | 3.14516 | 0.110442 | 0.0552208 | − | 0.998474i | \(-0.482414\pi\) | ||||
0.0552208 | + | 0.998474i | \(0.482414\pi\) | |||||||
\(812\) | −17.8314 | − | 6.10022i | −0.625758 | − | 0.214076i | ||||
\(813\) | − | 5.79119i | − | 0.203106i | ||||||
\(814\) | −12.2462 | − | 10.6323i | −0.429229 | − | 0.372661i | ||||
\(815\) | −20.6372 | − | 28.5083i | −0.722888 | − | 0.998604i | ||||
\(816\) | 1.50758 | + | 5.20926i | 0.0527758 | + | 0.182361i | ||||
\(817\) | 23.9243 | 0.837005 | ||||||||
\(818\) | −4.41782 | + | 5.08842i | −0.154465 | + | 0.177913i | ||||
\(819\) | 14.3468 | − | 28.2102i | 0.501319 | − | 0.985746i | ||||
\(820\) | 26.3466 | + | 27.3103i | 0.920064 | + | 0.953719i | ||||
\(821\) | −7.06913 | −0.246714 | −0.123357 | − | 0.992362i | \(-0.539366\pi\) | ||||
−0.123357 | + | 0.992362i | \(0.539366\pi\) | |||||||
\(822\) | 9.33976 | + | 8.10887i | 0.325761 | + | 0.282829i | ||||
\(823\) | 3.21985 | 0.112237 | 0.0561185 | − | 0.998424i | \(-0.482128\pi\) | ||||
0.0561185 | + | 0.998424i | \(0.482128\pi\) | |||||||
\(824\) | −2.45567 | − | 1.58831i | −0.0855473 | − | 0.0553314i | ||||
\(825\) | −3.19727 | + | 9.72540i | −0.111315 | + | 0.338595i | ||||
\(826\) | −27.9341 | + | 11.3308i | −0.971952 | + | 0.394248i | ||||
\(827\) | −2.39871 | −0.0834112 | −0.0417056 | − | 0.999130i | \(-0.513279\pi\) | ||||
−0.0417056 | + | 0.999130i | \(0.513279\pi\) | |||||||
\(828\) | 1.34700 | + | 9.49980i | 0.0468115 | + | 0.330141i | ||||
\(829\) | − | 25.9018i | − | 0.899607i | −0.893128 | − | 0.449803i | \(-0.851494\pi\) | ||
0.893128 | − | 0.449803i | \(-0.148506\pi\) | |||||||
\(830\) | −39.2281 | − | 3.47625i | −1.36163 | − | 0.120662i | ||||
\(831\) | 1.37899 | 0.0478366 | ||||||||
\(832\) | −15.3208 | − | 34.0730i | −0.531154 | − | 1.18127i | ||||
\(833\) | 8.44204 | + | 11.5824i | 0.292499 | + | 0.401306i | ||||
\(834\) | −8.80776 | + | 10.1447i | −0.304988 | + | 0.351284i | ||||
\(835\) | 15.2134 | − | 11.0129i | 0.526481 | − | 0.381119i | ||||
\(836\) | −34.2945 | + | 4.86270i | −1.18610 | + | 0.168180i | ||||
\(837\) | 32.2080i | 1.11327i | ||||||||
\(838\) | −22.0382 | − | 19.1338i | −0.761297 | − | 0.660966i | ||||
\(839\) | −47.2623 | −1.63168 | −0.815838 | − | 0.578280i | \(-0.803724\pi\) | ||||
−0.815838 | + | 0.578280i | \(0.803724\pi\) | |||||||
\(840\) | −10.1259 | − | 4.49783i | −0.349378 | − | 0.155190i | ||||
\(841\) | −16.3153 | −0.562598 | ||||||||
\(842\) | −9.01133 | − | 7.82373i | −0.310551 | − | 0.269623i | ||||
\(843\) | − | 13.2788i | − | 0.457346i | ||||||
\(844\) | −49.7386 | + | 7.05256i | −1.71207 | + | 0.242759i | ||||
\(845\) | −11.5487 | − | 15.9534i | −0.397286 | − | 0.548815i | ||||
\(846\) | −0.689494 | + | 0.794156i | −0.0237053 | + | 0.0273036i | ||||
\(847\) | 1.72521 | − | 3.39228i | 0.0592788 | − | 0.116560i | ||||
\(848\) | 10.5636 | + | 36.5014i | 0.362756 | + | 1.25346i | ||||
\(849\) | −12.9309 | −0.443786 | ||||||||
\(850\) | −12.4313 | + | 7.42129i | −0.426389 | + | 0.254548i | ||||
\(851\) | 6.94568i | 0.238095i | ||||||||
\(852\) | −1.79544 | − | 12.6624i | −0.0615107 | − | 0.433808i | ||||
\(853\) | 45.2262 | 1.54851 | 0.774257 | − | 0.632871i | \(-0.218124\pi\) | ||||
0.774257 | + | 0.632871i | \(0.218124\pi\) | |||||||
\(854\) | −9.07280 | − | 22.3674i | −0.310465 | − | 0.765398i | ||||
\(855\) | 18.8114 | + | 25.9863i | 0.643338 | + | 0.888712i | ||||
\(856\) | −22.5616 | + | 34.8821i | −0.771138 | + | 1.19225i | ||||
\(857\) | −14.5845 | −0.498198 | −0.249099 | − | 0.968478i | \(-0.580134\pi\) | ||||
−0.249099 | + | 0.968478i | \(0.580134\pi\) | |||||||
\(858\) | −10.2107 | − | 8.86502i | −0.348587 | − | 0.302647i | ||||
\(859\) | −3.14516 | −0.107312 | −0.0536558 | − | 0.998559i | \(-0.517087\pi\) | ||||
−0.0536558 | + | 0.998559i | \(0.517087\pi\) | |||||||
\(860\) | −13.7482 | + | 13.2631i | −0.468811 | + | 0.452268i | ||||
\(861\) | −6.73863 | + | 13.2502i | −0.229652 | + | 0.451566i | ||||
\(862\) | −14.3346 | + | 16.5105i | −0.488238 | + | 0.562350i | ||||
\(863\) | 28.8492 | 0.982038 | 0.491019 | − | 0.871149i | \(-0.336625\pi\) | ||||
0.491019 | + | 0.871149i | \(0.336625\pi\) | |||||||
\(864\) | −8.74599 | + | 18.9071i | −0.297545 | + | 0.643232i | ||||
\(865\) | 11.4924 | + | 15.8757i | 0.390754 | + | 0.539791i | ||||
\(866\) | 41.1232 | + | 35.7035i | 1.39742 | + | 1.21326i | ||||
\(867\) | − | 8.48071i | − | 0.288020i | ||||||
\(868\) | 43.7879 | + | 14.9801i | 1.48626 | + | 0.508458i | ||||
\(869\) | 4.19224 | 0.142212 | ||||||||
\(870\) | 7.42847 | + | 0.658283i | 0.251849 | + | 0.0223179i | ||||
\(871\) | −11.2017 | −0.379554 | ||||||||
\(872\) | 0.673500 | − | 1.04129i | 0.0228076 | − | 0.0352625i | ||||
\(873\) | 15.7343 | 0.532525 | ||||||||
\(874\) | 11.2017 | + | 9.72540i | 0.378902 | + | 0.328966i | ||||
\(875\) | 4.75698 | − | 29.1954i | 0.160815 | − | 0.986985i | ||||
\(876\) | 5.36932 | − | 0.761329i | 0.181412 | − | 0.0257229i | ||||
\(877\) | − | 3.70861i | − | 0.125231i | −0.998038 | − | 0.0626154i | \(-0.980056\pi\) | ||
0.998038 | − | 0.0626154i | \(-0.0199442\pi\) | |||||||
\(878\) | 25.3969 | + | 22.0498i | 0.857103 | + | 0.744146i | ||||
\(879\) | 10.0379i | 0.338569i | ||||||||
\(880\) | 17.0118 | − | 21.8065i | 0.573467 | − | 0.735097i | ||||
\(881\) | 54.0883i | 1.82228i | 0.412095 | + | 0.911141i | \(0.364797\pi\) | ||||
−0.412095 | + | 0.911141i | \(0.635203\pi\) | |||||||
\(882\) | −2.15617 | + | 25.2662i | −0.0726022 | + | 0.850759i | ||||
\(883\) | 19.7155 | 0.663479 | 0.331740 | − | 0.943371i | \(-0.392364\pi\) | ||||
0.331740 | + | 0.943371i | \(0.392364\pi\) | |||||||
\(884\) | −2.68466 | − | 18.9337i | −0.0902948 | − | 0.636810i | ||||
\(885\) | 9.66259 | − | 6.99474i | 0.324804 | − | 0.235125i | ||||
\(886\) | −14.8078 | − | 12.8563i | −0.497477 | − | 0.431914i | ||||
\(887\) | − | 15.3110i | − | 0.514095i | −0.966399 | − | 0.257047i | \(-0.917250\pi\) | ||
0.966399 | − | 0.257047i | \(-0.0827496\pi\) | |||||||
\(888\) | −3.77216 | + | 5.83209i | −0.126585 | + | 0.195712i | ||||
\(889\) | 20.4924 | − | 40.2944i | 0.687294 | − | 1.35143i | ||||
\(890\) | 8.90936 | + | 0.789514i | 0.298642 | + | 0.0264646i | ||||
\(891\) | − | 16.2222i | − | 0.543464i | ||||||
\(892\) | 37.9339 | − | 5.37874i | 1.27012 | − | 0.180094i | ||||
\(893\) | 1.62603i | 0.0544130i | ||||||||
\(894\) | −1.22783 | + | 1.41421i | −0.0410649 | + | 0.0472984i | ||||
\(895\) | 3.14516 | − | 2.27678i | 0.105131 | − | 0.0761044i | ||||
\(896\) | 21.6370 | + | 20.6843i | 0.722842 | + | 0.691013i | ||||
\(897\) | 5.79119i | 0.193362i | ||||||||
\(898\) | −19.9532 | − | 17.3235i | −0.665845 | − | 0.578094i | ||||
\(899\) | −31.1493 | −1.03889 | ||||||||
\(900\) | −25.2164 | − | 4.50453i | −0.840545 | − | 0.150151i | ||||
\(901\) | 19.4508i | 0.648000i | ||||||||
\(902\) | −28.0193 | − | 24.3266i | −0.932940 | − | 0.809988i | ||||
\(903\) | −6.67026 | − | 3.39228i | −0.221972 | − | 0.112888i | ||||
\(904\) | 8.80776 | + | 5.69681i | 0.292942 | + | 0.189473i | ||||
\(905\) | −16.8078 | + | 12.1671i | −0.558709 | + | 0.404449i | ||||
\(906\) | −13.3882 | − | 11.6237i | −0.444792 | − | 0.386173i | ||||
\(907\) | 2.62926 | 0.0873033 | 0.0436516 | − | 0.999047i | \(-0.486101\pi\) | ||||
0.0436516 | + | 0.999047i | \(0.486101\pi\) | |||||||
\(908\) | 27.8579 | − | 3.95003i | 0.924495 | − | 0.131086i | ||||
\(909\) | 6.10281i | 0.202418i | ||||||||
\(910\) | 33.1267 | + | 20.7164i | 1.09814 | + | 0.686740i | ||||
\(911\) | − | 40.3652i | − | 1.33736i | −0.743551 | − | 0.668679i | \(-0.766860\pi\) | ||
0.743551 | − | 0.668679i | \(-0.233140\pi\) | |||||||
\(912\) | 4.12391 | + | 14.2497i | 0.136556 | + | 0.471855i | ||||
\(913\) | 38.5088 | 1.27446 | ||||||||
\(914\) | 34.8078 | − | 40.0914i | 1.15134 | − | 1.32611i | ||||
\(915\) | 5.60083 | + | 7.73704i | 0.185158 | + | 0.255779i | ||||
\(916\) | 15.9194 | − | 2.25725i | 0.525992 | − | 0.0745817i | ||||
\(917\) | 6.71737 | − | 13.2084i | 0.221827 | − | 0.436180i | ||||
\(918\) | −6.99083 | + | 8.05200i | −0.230732 | + | 0.265756i | ||||
\(919\) | 11.7743i | 0.388398i | 0.980962 | + | 0.194199i | \(0.0622107\pi\) | ||||
−0.980962 | + | 0.194199i | \(0.937789\pi\) | |||||||
\(920\) | −11.8287 | + | 0.621197i | −0.389979 | + | 0.0204803i | ||||
\(921\) | 17.3153 | 0.570560 | ||||||||
\(922\) | −18.2660 | + | 21.0387i | −0.601560 | + | 0.692874i | ||||
\(923\) | 45.0979i | 1.48442i | ||||||||
\(924\) | 10.2510 | + | 3.50694i | 0.337235 | + | 0.115370i | ||||
\(925\) | −17.6155 | − | 5.79119i | −0.579195 | − | 0.190413i | ||||
\(926\) | 29.0540 | + | 25.2250i | 0.954773 | + | 0.828943i | ||||
\(927\) | − | 2.64861i | − | 0.0869919i | ||||||
\(928\) | −18.2856 | − | 8.45851i | −0.600254 | − | 0.277664i | ||||
\(929\) | 17.6670i | 0.579634i | 0.957082 | + | 0.289817i | \(0.0935944\pi\) | ||||
−0.957082 | + | 0.289817i | \(0.906406\pi\) | |||||||
\(930\) | −18.2419 | − | 1.61653i | −0.598174 | − | 0.0530080i | ||||
\(931\) | 23.0928 | + | 31.6831i | 0.756837 | + | 1.03837i | ||||
\(932\) | 14.6875 | − | 2.08258i | 0.481106 | − | 0.0682172i | ||||
\(933\) | − | 13.2084i | − | 0.432424i | ||||||
\(934\) | −28.7692 | + | 33.1363i | −0.941358 | + | 1.08425i | ||||
\(935\) | 11.4677 | − | 8.30144i | 0.375033 | − | 0.271486i | ||||
\(936\) | 18.3751 | − | 28.4095i | 0.600608 | − | 0.928593i | ||||
\(937\) | −38.7609 | −1.26626 | −0.633131 | − | 0.774045i | \(-0.718231\pi\) | ||||
−0.633131 | + | 0.774045i | \(0.718231\pi\) | |||||||
\(938\) | 8.31697 | − | 3.37358i | 0.271559 | − | 0.110151i | ||||
\(939\) | 7.54011i | 0.246062i | ||||||||
\(940\) | −0.901436 | − | 0.934409i | −0.0294016 | − | 0.0304771i | ||||
\(941\) | − | 37.9119i | − | 1.23589i | −0.786220 | − | 0.617946i | \(-0.787965\pi\) | ||
0.786220 | − | 0.617946i | \(-0.212035\pi\) | |||||||
\(942\) | −1.60993 | + | 1.85431i | −0.0524542 | + | 0.0604165i | ||||
\(943\) | 15.8917i | 0.517504i | ||||||||
\(944\) | −30.9557 | + | 8.95869i | −1.00752 | + | 0.291581i | ||||
\(945\) | −3.38725 | − | 21.5216i | −0.110187 | − | 0.700099i | ||||
\(946\) | 12.2462 | − | 14.1051i | 0.398159 | − | 0.458597i | ||||
\(947\) | −41.5991 | −1.35179 | −0.675895 | − | 0.736998i | \(-0.736243\pi\) | ||||
−0.675895 | + | 0.736998i | \(0.736243\pi\) | |||||||
\(948\) | −0.252058 | − | 1.77766i | −0.00818647 | − | 0.0577356i | ||||
\(949\) | −19.1231 | −0.620762 | ||||||||
\(950\) | −34.0052 | + | 20.3006i | −1.10327 | + | 0.658639i | ||||
\(951\) | −21.0243 | −0.681761 | ||||||||
\(952\) | 7.69552 | + | 13.2493i | 0.249413 | + | 0.429413i | ||||
\(953\) | − | 24.7908i | − | 0.803053i | −0.915848 | − | 0.401526i | \(-0.868480\pi\) | ||
0.915848 | − | 0.401526i | \(-0.131520\pi\) | |||||||
\(954\) | −22.5616 | + | 25.9863i | −0.730457 | + | 0.841337i | ||||
\(955\) | 24.8590 | − | 17.9954i | 0.804418 | − | 0.582317i | ||||
\(956\) | 6.12311 | − | 0.868210i | 0.198035 | − | 0.0280799i | ||||
\(957\) | −7.29226 | −0.235725 | ||||||||
\(958\) | −4.09499 | − | 3.55531i | −0.132303 | − | 0.114867i | ||||
\(959\) | 31.1493 | + | 15.8415i | 1.00586 | + | 0.511550i | ||||
\(960\) | −10.2696 | − | 5.90248i | −0.331449 | − | 0.190502i | ||||
\(961\) | 45.4924 | 1.46750 | ||||||||
\(962\) | 16.0571 | − | 18.4945i | 0.517703 | − | 0.596287i | ||||
\(963\) | −37.6229 | −1.21238 | ||||||||
\(964\) | 37.4396 | − | 5.30866i | 1.20585 | − | 0.170980i | ||||
\(965\) | −6.71737 | + | 4.86270i | −0.216240 | + | 0.156536i | ||||
\(966\) | −1.74412 | − | 4.29982i | −0.0561161 | − | 0.138345i | ||||
\(967\) | −18.1379 | −0.583277 | −0.291638 | − | 0.956529i | \(-0.594200\pi\) | ||||
−0.291638 | + | 0.956529i | \(0.594200\pi\) | |||||||
\(968\) | 2.20960 | − | 3.41624i | 0.0710193 | − | 0.109802i | ||||
\(969\) | 7.59336i | 0.243934i | ||||||||
\(970\) | −1.71459 | + | 19.3484i | −0.0550520 | + | 0.621240i | ||||
\(971\) | 32.9155 | 1.05631 | 0.528154 | − | 0.849148i | \(-0.322884\pi\) | ||||
0.528154 | + | 0.849148i | \(0.322884\pi\) | |||||||
\(972\) | −28.7556 | + | 4.07732i | −0.922335 | + | 0.130780i | ||||
\(973\) | −17.2069 | + | 33.8340i | −0.551628 | + | 1.08467i | ||||
\(974\) | 41.6155 | + | 36.1310i | 1.33345 | + | 1.15771i | ||||
\(975\) | −14.6875 | − | 4.82860i | −0.470377 | − | 0.154639i | ||||
\(976\) | −7.17341 | − | 24.7869i | −0.229615 | − | 0.793409i | ||||
\(977\) | 5.79119i | 0.185277i | 0.995700 | + | 0.0926383i | \(0.0295300\pi\) | ||||
−0.995700 | + | 0.0926383i | \(0.970470\pi\) | |||||||
\(978\) | 9.66259 | − | 11.1293i | 0.308975 | − | 0.355876i | ||||
\(979\) | −8.74599 | −0.279523 | ||||||||
\(980\) | −30.8349 | − | 5.40473i | −0.984984 | − | 0.172648i | ||||
\(981\) | 1.12311 | 0.0358580 | ||||||||
\(982\) | −6.08677 | + | 7.01071i | −0.194237 | + | 0.223721i | ||||
\(983\) | − | 38.4406i | − | 1.22607i | −0.790057 | − | 0.613033i | \(-0.789949\pi\) | ||
0.790057 | − | 0.613033i | \(-0.210051\pi\) | |||||||
\(984\) | −8.63068 | + | 13.3438i | −0.275136 | + | 0.425385i | ||||
\(985\) | −20.1521 | + | 14.5881i | −0.642100 | + | 0.464815i | ||||
\(986\) | −7.78733 | − | 6.76104i | −0.247999 | − | 0.215315i | ||||
\(987\) | 0.230559 | − | 0.453349i | 0.00733876 | − | 0.0144303i | ||||
\(988\) | −7.34376 | − | 51.7924i | −0.233636 | − | 1.64773i | ||||
\(989\) | −8.00000 | −0.254385 | ||||||||
\(990\) | 24.9499 | + | 2.21097i | 0.792960 | + | 0.0702692i | ||||
\(991\) | 50.2361i | 1.59580i | 0.602787 | + | 0.797902i | \(0.294057\pi\) | ||||
−0.602787 | + | 0.797902i | \(0.705943\pi\) | |||||||
\(992\) | 44.9033 | + | 20.7713i | 1.42568 | + | 0.659489i | ||||
\(993\) | −1.14978 | −0.0364871 | ||||||||
\(994\) | −13.5820 | − | 33.4841i | −0.430796 | − | 1.06205i | ||||
\(995\) | 8.24782 | + | 11.3936i | 0.261474 | + | 0.361202i | ||||
\(996\) | −2.31534 | − | 16.3291i | −0.0733644 | − | 0.517407i | ||||
\(997\) | −26.7987 | −0.848724 | −0.424362 | − | 0.905493i | \(-0.639502\pi\) | ||||
−0.424362 | + | 0.905493i | \(0.639502\pi\) | |||||||
\(998\) | 31.5361 | − | 36.3231i | 0.998258 | − | 1.14979i | ||||
\(999\) | −13.6573 | −0.432099 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))