Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [637,2,Mod(53,637)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(637, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([10, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("637.53");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 637 = 7^{2} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 637.bl (of order \(21\), degree \(12\), 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: | \(5.08647060876\) |
Analytic rank: | \(0\) |
Dimension: | \(348\) |
Relative dimension: | \(29\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 53.5 | ||
Character | \(\chi\) | \(=\) | 637.53 |
Dual form | 637.2.bl.b.625.5 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(248\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{21}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.69736 | − | 1.15724i | −1.20022 | − | 0.818294i | −0.212903 | − | 0.977073i | \(-0.568292\pi\) |
−0.987314 | + | 0.158779i | \(0.949244\pi\) | |||||||
\(3\) | 1.28266 | + | 1.19014i | 0.740547 | + | 0.687127i | 0.957299 | − | 0.289100i | \(-0.0933558\pi\) |
−0.216752 | + | 0.976227i | \(0.569546\pi\) | |||||||
\(4\) | 0.811150 | + | 2.06678i | 0.405575 | + | 1.03339i | ||||
\(5\) | 0.653901 | − | 0.201702i | 0.292434 | − | 0.0902038i | −0.145067 | − | 0.989422i | \(-0.546340\pi\) |
0.437501 | + | 0.899218i | \(0.355864\pi\) | |||||||
\(6\) | −0.799869 | − | 3.50445i | −0.326545 | − | 1.43069i | ||||
\(7\) | −2.34964 | − | 1.21622i | −0.888081 | − | 0.459686i | ||||
\(8\) | 0.100685 | − | 0.441128i | 0.0355974 | − | 0.155962i | ||||
\(9\) | 0.00460791 | + | 0.0614883i | 0.00153597 | + | 0.0204961i | ||||
\(10\) | −1.34333 | − | 0.414361i | −0.424797 | − | 0.131033i | ||||
\(11\) | 0.294283 | − | 3.92694i | 0.0887298 | − | 1.18402i | −0.758095 | − | 0.652145i | \(-0.773870\pi\) |
0.846824 | − | 0.531872i | \(-0.178511\pi\) | |||||||
\(12\) | −1.41932 | + | 3.61636i | −0.409722 | + | 1.04395i | ||||
\(13\) | −0.900969 | + | 0.433884i | −0.249884 | + | 0.120338i | ||||
\(14\) | 2.58074 | + | 4.78347i | 0.689732 | + | 1.27844i | ||||
\(15\) | 1.07879 | + | 0.519518i | 0.278542 | + | 0.134139i | ||||
\(16\) | 2.57373 | − | 2.38807i | 0.643433 | − | 0.597018i | ||||
\(17\) | −5.35944 | + | 0.807806i | −1.29986 | + | 0.195922i | −0.762254 | − | 0.647278i | \(-0.775907\pi\) |
−0.537601 | + | 0.843199i | \(0.680669\pi\) | |||||||
\(18\) | 0.0633356 | − | 0.109700i | 0.0149283 | − | 0.0258566i | ||||
\(19\) | −0.297407 | − | 0.515124i | −0.0682299 | − | 0.118178i | 0.829892 | − | 0.557924i | \(-0.188402\pi\) |
−0.898122 | + | 0.439746i | \(0.855068\pi\) | |||||||
\(20\) | 0.947285 | + | 1.18786i | 0.211819 | + | 0.265613i | ||||
\(21\) | −1.56634 | − | 4.35640i | −0.341803 | − | 0.950644i | ||||
\(22\) | −5.04393 | + | 6.32489i | −1.07537 | + | 1.34847i | ||||
\(23\) | −3.45086 | − | 0.520133i | −0.719553 | − | 0.108455i | −0.220950 | − | 0.975285i | \(-0.570916\pi\) |
−0.498604 | + | 0.866830i | \(0.666154\pi\) | |||||||
\(24\) | 0.654149 | − | 0.445991i | 0.133528 | − | 0.0910376i | ||||
\(25\) | −3.74429 | + | 2.55281i | −0.748858 | + | 0.510563i | ||||
\(26\) | 2.03138 | + | 0.306181i | 0.398386 | + | 0.0600471i | ||||
\(27\) | 3.20560 | − | 4.01970i | 0.616919 | − | 0.773592i | ||||
\(28\) | 0.607733 | − | 5.84272i | 0.114851 | − | 1.10417i | ||||
\(29\) | 1.81431 | + | 2.27507i | 0.336909 | + | 0.422471i | 0.921210 | − | 0.389067i | \(-0.127202\pi\) |
−0.584300 | + | 0.811537i | \(0.698631\pi\) | |||||||
\(30\) | −1.22989 | − | 2.13023i | −0.224546 | − | 0.388925i | ||||
\(31\) | 0.831438 | − | 1.44009i | 0.149331 | − | 0.258648i | −0.781650 | − | 0.623718i | \(-0.785621\pi\) |
0.930980 | + | 0.365070i | \(0.118955\pi\) | |||||||
\(32\) | −8.02698 | + | 1.20987i | −1.41898 | + | 0.213877i | ||||
\(33\) | 5.05107 | − | 4.68671i | 0.879279 | − | 0.815852i | ||||
\(34\) | 10.0317 | + | 4.83104i | 1.72043 | + | 0.828516i | ||||
\(35\) | −1.78175 | − | 0.321358i | −0.301170 | − | 0.0543194i | ||||
\(36\) | −0.123345 | + | 0.0593997i | −0.0205575 | + | 0.00989995i | ||||
\(37\) | 3.23686 | − | 8.24739i | 0.532137 | − | 1.35586i | −0.371846 | − | 0.928294i | \(-0.621275\pi\) |
0.903983 | − | 0.427568i | \(-0.140630\pi\) | |||||||
\(38\) | −0.0913159 | + | 1.21853i | −0.0148134 | + | 0.197671i | ||||
\(39\) | −1.67202 | − | 0.515751i | −0.267738 | − | 0.0825862i | ||||
\(40\) | −0.0231386 | − | 0.308763i | −0.00365853 | − | 0.0488197i | ||||
\(41\) | 2.08928 | − | 9.15371i | 0.326290 | − | 1.42957i | −0.499853 | − | 0.866110i | \(-0.666613\pi\) |
0.826143 | − | 0.563460i | \(-0.190530\pi\) | |||||||
\(42\) | −2.38277 | + | 9.20703i | −0.367669 | + | 1.42067i | ||||
\(43\) | 0.0187464 | + | 0.0821334i | 0.00285880 | + | 0.0125252i | 0.976337 | − | 0.216254i | \(-0.0693838\pi\) |
−0.973478 | + | 0.228779i | \(0.926527\pi\) | |||||||
\(44\) | 8.35481 | − | 2.57712i | 1.25954 | − | 0.388515i | ||||
\(45\) | 0.0154154 | + | 0.0392778i | 0.00229799 | + | 0.00585519i | ||||
\(46\) | 5.25544 | + | 4.87633i | 0.774872 | + | 0.718976i | ||||
\(47\) | −8.34061 | − | 5.68653i | −1.21660 | − | 0.829466i | −0.227085 | − | 0.973875i | \(-0.572919\pi\) |
−0.989518 | + | 0.144409i | \(0.953872\pi\) | |||||||
\(48\) | 6.14337 | 0.886720 | ||||||||
\(49\) | 4.04164 | + | 5.71534i | 0.577377 | + | 0.816478i | ||||
\(50\) | 9.30965 | 1.31658 | ||||||||
\(51\) | −7.83577 | − | 5.34234i | −1.09723 | − | 0.748077i | ||||
\(52\) | −1.62756 | − | 1.51016i | −0.225702 | − | 0.209421i | ||||
\(53\) | −4.69529 | − | 11.9634i | −0.644948 | − | 1.64330i | −0.759986 | − | 0.649939i | \(-0.774794\pi\) |
0.115038 | − | 0.993361i | \(-0.463301\pi\) | |||||||
\(54\) | −10.0928 | + | 3.11323i | −1.37346 | + | 0.423657i | ||||
\(55\) | −0.599639 | − | 2.62719i | −0.0808553 | − | 0.354250i | ||||
\(56\) | −0.773080 | + | 0.914040i | −0.103307 | + | 0.122144i | ||||
\(57\) | 0.231596 | − | 1.01469i | 0.0306756 | − | 0.134399i | ||||
\(58\) | −0.446732 | − | 5.96123i | −0.0586588 | − | 0.782747i | ||||
\(59\) | 1.08013 | + | 0.333177i | 0.140621 | + | 0.0433759i | 0.364267 | − | 0.931295i | \(-0.381320\pi\) |
−0.223646 | + | 0.974671i | \(0.571796\pi\) | |||||||
\(60\) | −0.198667 | + | 2.65102i | −0.0256478 | + | 0.342246i | ||||
\(61\) | −4.00065 | + | 10.1935i | −0.512231 | + | 1.30514i | 0.407719 | + | 0.913107i | \(0.366324\pi\) |
−0.919950 | + | 0.392036i | \(0.871771\pi\) | |||||||
\(62\) | −3.07779 | + | 1.48218i | −0.390879 | + | 0.188238i | ||||
\(63\) | 0.0639560 | − | 0.150080i | 0.00805770 | − | 0.0189083i | ||||
\(64\) | 8.69824 | + | 4.18885i | 1.08728 | + | 0.523607i | ||||
\(65\) | −0.501630 | + | 0.465444i | −0.0622195 | + | 0.0577313i | ||||
\(66\) | −13.9972 | + | 2.10973i | −1.72293 | + | 0.259690i | ||||
\(67\) | 1.57305 | − | 2.72461i | 0.192179 | − | 0.332864i | −0.753793 | − | 0.657112i | \(-0.771778\pi\) |
0.945972 | + | 0.324248i | \(0.105111\pi\) | |||||||
\(68\) | −6.01686 | − | 10.4215i | −0.729652 | − | 1.26379i | ||||
\(69\) | −3.80726 | − | 4.77416i | −0.458341 | − | 0.574741i | ||||
\(70\) | 2.65238 | + | 2.60738i | 0.317021 | + | 0.311641i | ||||
\(71\) | 4.70112 | − | 5.89502i | 0.557920 | − | 0.699610i | −0.420251 | − | 0.907408i | \(-0.638058\pi\) |
0.978172 | + | 0.207798i | \(0.0666295\pi\) | |||||||
\(72\) | 0.0275882 | + | 0.00415825i | 0.00325130 | + | 0.000490054i | ||||
\(73\) | −12.8769 | + | 8.77931i | −1.50713 | + | 1.02754i | −0.522544 | + | 0.852612i | \(0.675017\pi\) |
−0.984581 | + | 0.174928i | \(0.944031\pi\) | |||||||
\(74\) | −15.0384 | + | 10.2530i | −1.74817 | + | 1.19189i | ||||
\(75\) | −7.84087 | − | 1.18182i | −0.905386 | − | 0.136465i | ||||
\(76\) | 0.823405 | − | 1.03252i | 0.0944510 | − | 0.118438i | ||||
\(77\) | −5.46747 | + | 8.86899i | −0.623076 | + | 1.01072i | ||||
\(78\) | 2.24118 | + | 2.81035i | 0.253764 | + | 0.318210i | ||||
\(79\) | 3.08003 | + | 5.33476i | 0.346530 | + | 0.600208i | 0.985631 | − | 0.168916i | \(-0.0540266\pi\) |
−0.639101 | + | 0.769123i | \(0.720693\pi\) | |||||||
\(80\) | 1.20129 | − | 2.08069i | 0.134308 | − | 0.232628i | ||||
\(81\) | 9.07863 | − | 1.36838i | 1.00874 | − | 0.152043i | ||||
\(82\) | −14.1393 | + | 13.1194i | −1.56143 | + | 1.44879i | ||||
\(83\) | 4.64925 | + | 2.23896i | 0.510321 | + | 0.245758i | 0.671281 | − | 0.741203i | \(-0.265745\pi\) |
−0.160959 | + | 0.986961i | \(0.551459\pi\) | |||||||
\(84\) | 7.73316 | − | 6.77096i | 0.843757 | − | 0.738773i | ||||
\(85\) | −3.34161 | + | 1.60923i | −0.362449 | + | 0.174546i | ||||
\(86\) | 0.0632288 | − | 0.161104i | 0.00681813 | − | 0.0173723i | ||||
\(87\) | −0.380502 | + | 5.07744i | −0.0407940 | + | 0.544359i | ||||
\(88\) | −1.70266 | − | 0.525200i | −0.181504 | − | 0.0559865i | ||||
\(89\) | 0.572244 | + | 7.63606i | 0.0606577 | + | 0.809421i | 0.941715 | + | 0.336411i | \(0.109213\pi\) |
−0.881057 | + | 0.473009i | \(0.843168\pi\) | |||||||
\(90\) | 0.0192884 | − | 0.0845082i | 0.00203318 | − | 0.00890794i | ||||
\(91\) | 2.64465 | + | 0.0763007i | 0.277235 | + | 0.00799848i | ||||
\(92\) | −1.72416 | − | 7.55405i | −0.179756 | − | 0.787565i | ||||
\(93\) | 2.78037 | − | 0.857629i | 0.288310 | − | 0.0889320i | ||||
\(94\) | 7.57635 | + | 19.3042i | 0.781441 | + | 1.99108i | ||||
\(95\) | −0.298377 | − | 0.276853i | −0.0306128 | − | 0.0284045i | ||||
\(96\) | −11.7358 | − | 8.00136i | −1.19778 | − | 0.816635i | ||||
\(97\) | 6.03606 | 0.612869 | 0.306435 | − | 0.951892i | \(-0.400864\pi\) | ||||
0.306435 | + | 0.951892i | \(0.400864\pi\) | |||||||
\(98\) | −0.246091 | − | 14.3782i | −0.0248590 | − | 1.45241i | ||||
\(99\) | 0.242817 | 0.0244040 | ||||||||
\(100\) | −8.31327 | − | 5.66789i | −0.831327 | − | 0.566789i | ||||
\(101\) | −8.29897 | − | 7.70032i | −0.825778 | − | 0.766210i | 0.149130 | − | 0.988818i | \(-0.452353\pi\) |
−0.974908 | + | 0.222607i | \(0.928543\pi\) | |||||||
\(102\) | 7.11777 | + | 18.1358i | 0.704764 | + | 1.79571i | ||||
\(103\) | −7.05363 | + | 2.17576i | −0.695015 | + | 0.214384i | −0.622081 | − | 0.782953i | \(-0.713712\pi\) |
−0.0729340 | + | 0.997337i | \(0.523236\pi\) | |||||||
\(104\) | 0.100685 | + | 0.441128i | 0.00987295 | + | 0.0432562i | ||||
\(105\) | −1.90292 | − | 2.53272i | −0.185706 | − | 0.247168i | ||||
\(106\) | −5.87495 | + | 25.7398i | −0.570626 | + | 2.50007i | ||||
\(107\) | −0.366786 | − | 4.89441i | −0.0354585 | − | 0.473161i | −0.986463 | − | 0.163984i | \(-0.947566\pi\) |
0.951005 | − | 0.309177i | \(-0.100054\pi\) | |||||||
\(108\) | 10.9080 | + | 3.36469i | 1.04963 | + | 0.323767i | ||||
\(109\) | 1.39443 | − | 18.6074i | 0.133562 | − | 1.78226i | −0.380770 | − | 0.924670i | \(-0.624341\pi\) |
0.514332 | − | 0.857591i | \(-0.328040\pi\) | |||||||
\(110\) | −2.02249 | + | 5.15322i | −0.192837 | + | 0.491340i | ||||
\(111\) | 13.9674 | − | 6.72632i | 1.32572 | − | 0.638434i | ||||
\(112\) | −8.95176 | + | 2.48091i | −0.845862 | + | 0.234424i | ||||
\(113\) | −0.103664 | − | 0.0499218i | −0.00975185 | − | 0.00469624i | 0.429001 | − | 0.903304i | \(-0.358866\pi\) |
−0.438753 | + | 0.898608i | \(0.644580\pi\) | |||||||
\(114\) | −1.56734 | + | 1.45428i | −0.146795 | + | 0.136206i | ||||
\(115\) | −2.36143 | + | 0.355929i | −0.220205 | + | 0.0331905i | ||||
\(116\) | −3.23039 | + | 5.59520i | −0.299934 | + | 0.519501i | ||||
\(117\) | −0.0308303 | − | 0.0533997i | −0.00285027 | − | 0.00493681i | ||||
\(118\) | −1.44781 | − | 1.81550i | −0.133282 | − | 0.167130i | ||||
\(119\) | 13.5752 | + | 4.62018i | 1.24444 | + | 0.423531i | ||||
\(120\) | 0.337792 | − | 0.423577i | 0.0308360 | − | 0.0386671i | ||||
\(121\) | −4.45712 | − | 0.671802i | −0.405192 | − | 0.0610729i | ||||
\(122\) | 18.5869 | − | 12.6723i | 1.68278 | − | 1.14730i | ||||
\(123\) | 13.5740 | − | 9.25462i | 1.22393 | − | 0.834461i | ||||
\(124\) | 3.65077 | + | 0.550265i | 0.327849 | + | 0.0494152i | ||||
\(125\) | −4.06677 | + | 5.09957i | −0.363743 | + | 0.456119i | ||||
\(126\) | −0.282235 | + | 0.180727i | −0.0251435 | + | 0.0161004i | ||||
\(127\) | 10.9690 | + | 13.7547i | 0.973339 | + | 1.22053i | 0.975380 | + | 0.220530i | \(0.0707788\pi\) |
−0.00204131 | + | 0.999998i | \(0.500650\pi\) | |||||||
\(128\) | −1.79892 | − | 3.11581i | −0.159003 | − | 0.275402i | ||||
\(129\) | −0.0737048 | + | 0.127660i | −0.00648934 | + | 0.0112399i | ||||
\(130\) | 1.39008 | − | 0.209521i | 0.121918 | − | 0.0183762i | ||||
\(131\) | 7.13936 | − | 6.62435i | 0.623768 | − | 0.578773i | −0.303657 | − | 0.952782i | \(-0.598208\pi\) |
0.927425 | + | 0.374009i | \(0.122017\pi\) | |||||||
\(132\) | 13.7836 | + | 6.63781i | 1.19970 | + | 0.577747i | ||||
\(133\) | 0.0722983 | + | 1.57207i | 0.00626906 | + | 0.136316i | ||||
\(134\) | −5.82307 | + | 2.80424i | −0.503037 | + | 0.242250i | ||||
\(135\) | 1.28537 | − | 3.27506i | 0.110627 | − | 0.281873i | ||||
\(136\) | −0.183268 | + | 2.44554i | −0.0157151 | + | 0.209703i | ||||
\(137\) | −15.2327 | − | 4.69866i | −1.30142 | − | 0.401434i | −0.434853 | − | 0.900501i | \(-0.643200\pi\) |
−0.866563 | + | 0.499068i | \(0.833676\pi\) | |||||||
\(138\) | 0.937450 | + | 12.5094i | 0.0798011 | + | 1.06487i | ||||
\(139\) | −1.65888 | + | 7.26804i | −0.140705 | + | 0.616467i | 0.854568 | + | 0.519340i | \(0.173822\pi\) |
−0.995272 | + | 0.0971264i | \(0.969035\pi\) | |||||||
\(140\) | −0.781090 | − | 3.94314i | −0.0660141 | − | 0.333256i | ||||
\(141\) | −3.93044 | − | 17.2204i | −0.331003 | − | 1.45022i | ||||
\(142\) | −14.8015 | + | 4.56565i | −1.24211 | + | 0.383141i | ||||
\(143\) | 1.43870 | + | 3.66574i | 0.120310 | + | 0.306544i | ||||
\(144\) | 0.158698 | + | 0.147250i | 0.0132248 | + | 0.0122709i | ||||
\(145\) | 1.64527 | + | 1.12172i | 0.136632 | + | 0.0931541i | ||||
\(146\) | 32.0165 | 2.64971 | ||||||||
\(147\) | −1.61798 | + | 12.1410i | −0.133449 | + | 1.00137i | ||||
\(148\) | 19.6711 | 1.61695 | ||||||||
\(149\) | −9.02639 | − | 6.15409i | −0.739470 | − | 0.504162i | 0.134035 | − | 0.990977i | \(-0.457207\pi\) |
−0.873506 | + | 0.486814i | \(0.838159\pi\) | |||||||
\(150\) | 11.9412 | + | 11.0798i | 0.974992 | + | 0.904660i | ||||
\(151\) | 7.30163 | + | 18.6043i | 0.594199 | + | 1.51399i | 0.838839 | + | 0.544379i | \(0.183235\pi\) |
−0.244641 | + | 0.969614i | \(0.578670\pi\) | |||||||
\(152\) | −0.257180 | + | 0.0793297i | −0.0208601 | + | 0.00643448i | ||||
\(153\) | −0.0743664 | − | 0.325821i | −0.00601217 | − | 0.0263410i | ||||
\(154\) | 19.5439 | − | 8.72672i | 1.57489 | − | 0.703219i | ||||
\(155\) | 0.253209 | − | 1.10938i | 0.0203382 | − | 0.0891076i | ||||
\(156\) | −0.290320 | − | 3.87405i | −0.0232442 | − | 0.310172i | ||||
\(157\) | 20.4992 | + | 6.32316i | 1.63601 | + | 0.504643i | 0.970370 | − | 0.241626i | \(-0.0776806\pi\) |
0.665644 | + | 0.746269i | \(0.268157\pi\) | |||||||
\(158\) | 0.945691 | − | 12.6194i | 0.0752351 | − | 1.00394i | ||||
\(159\) | 8.21563 | − | 20.9331i | 0.651542 | − | 1.66010i | ||||
\(160\) | −5.00482 | + | 2.41019i | −0.395666 | + | 0.190542i | ||||
\(161\) | 7.47569 | + | 5.41911i | 0.589167 | + | 0.427086i | ||||
\(162\) | −16.9933 | − | 8.18354i | −1.33512 | − | 0.642960i | ||||
\(163\) | 15.2443 | − | 14.1446i | 1.19402 | − | 1.10789i | 0.202323 | − | 0.979319i | \(-0.435151\pi\) |
0.991700 | − | 0.128573i | \(-0.0410395\pi\) | |||||||
\(164\) | 20.6134 | − | 3.10697i | 1.60964 | − | 0.242614i | ||||
\(165\) | 2.35759 | − | 4.08346i | 0.183538 | − | 0.317897i | ||||
\(166\) | −5.30044 | − | 9.18064i | −0.411394 | − | 0.712556i | ||||
\(167\) | 2.77526 | + | 3.48006i | 0.214756 | + | 0.269295i | 0.877528 | − | 0.479526i | \(-0.159191\pi\) |
−0.662772 | + | 0.748821i | \(0.730620\pi\) | |||||||
\(168\) | −2.07944 | + | 0.252334i | −0.160432 | + | 0.0194680i | ||||
\(169\) | 0.623490 | − | 0.781831i | 0.0479608 | − | 0.0601409i | ||||
\(170\) | 7.53420 | + | 1.13560i | 0.577847 | + | 0.0870964i | ||||
\(171\) | 0.0303037 | − | 0.0206607i | 0.00231738 | − | 0.00157996i | ||||
\(172\) | −0.154545 | + | 0.105367i | −0.0117840 | + | 0.00803416i | ||||
\(173\) | 18.4395 | + | 2.77931i | 1.40193 | + | 0.211307i | 0.806088 | − | 0.591796i | \(-0.201581\pi\) |
0.595841 | + | 0.803102i | \(0.296819\pi\) | |||||||
\(174\) | 6.52168 | − | 8.17793i | 0.494407 | − | 0.619967i | ||||
\(175\) | 11.9025 | − | 1.44434i | 0.899746 | − | 0.109182i | ||||
\(176\) | −8.62041 | − | 10.8097i | −0.649788 | − | 0.814809i | ||||
\(177\) | 0.988922 | + | 1.71286i | 0.0743319 | + | 0.128747i | ||||
\(178\) | 7.86547 | − | 13.6234i | 0.589542 | − | 1.02112i | ||||
\(179\) | 22.0991 | − | 3.33091i | 1.65177 | − | 0.248964i | 0.743920 | − | 0.668268i | \(-0.232964\pi\) |
0.907846 | + | 0.419305i | \(0.137726\pi\) | |||||||
\(180\) | −0.0686743 | + | 0.0637204i | −0.00511868 | + | 0.00474944i | ||||
\(181\) | −9.28910 | − | 4.47340i | −0.690453 | − | 0.332505i | 0.0555416 | − | 0.998456i | \(-0.482311\pi\) |
−0.745995 | + | 0.665952i | \(0.768026\pi\) | |||||||
\(182\) | −4.40064 | − | 3.19001i | −0.326197 | − | 0.236460i | ||||
\(183\) | −17.2632 | + | 8.31351i | −1.27613 | + | 0.614552i | ||||
\(184\) | −0.576894 | + | 1.46990i | −0.0425292 | + | 0.108363i | ||||
\(185\) | 0.453075 | − | 6.04586i | 0.0333107 | − | 0.444501i | ||||
\(186\) | −5.71178 | − | 1.76185i | −0.418808 | − | 0.129185i | ||||
\(187\) | 1.59501 | + | 21.2839i | 0.116639 | + | 1.55644i | ||||
\(188\) | 4.98730 | − | 21.8508i | 0.363736 | − | 1.59363i | ||||
\(189\) | −12.4208 | + | 5.54615i | −0.903483 | + | 0.403423i | ||||
\(190\) | 0.186067 | + | 0.815214i | 0.0134987 | + | 0.0591419i | ||||
\(191\) | −8.90227 | + | 2.74599i | −0.644146 | + | 0.198693i | −0.599581 | − | 0.800314i | \(-0.704666\pi\) |
−0.0445646 | + | 0.999007i | \(0.514190\pi\) | |||||||
\(192\) | 6.17161 | + | 15.7250i | 0.445398 | + | 1.13486i | ||||
\(193\) | 8.41661 | + | 7.80947i | 0.605841 | + | 0.562138i | 0.922303 | − | 0.386467i | \(-0.126305\pi\) |
−0.316462 | + | 0.948605i | \(0.602495\pi\) | |||||||
\(194\) | −10.2454 | − | 6.98519i | −0.735577 | − | 0.501508i | ||||
\(195\) | −1.19737 | −0.0857452 | ||||||||
\(196\) | −8.53396 | + | 12.9892i | −0.609569 | + | 0.927797i | ||||
\(197\) | −5.40689 | −0.385225 | −0.192612 | − | 0.981275i | \(-0.561696\pi\) | ||||
−0.192612 | + | 0.981275i | \(0.561696\pi\) | |||||||
\(198\) | −0.412148 | − | 0.280998i | −0.0292901 | − | 0.0199697i | ||||
\(199\) | −0.371124 | − | 0.344353i | −0.0263083 | − | 0.0244105i | 0.666909 | − | 0.745139i | \(-0.267617\pi\) |
−0.693217 | + | 0.720729i | \(0.743807\pi\) | |||||||
\(200\) | 0.749126 | + | 1.90874i | 0.0529712 | + | 0.134968i | ||||
\(201\) | 5.26036 | − | 1.62261i | 0.371037 | − | 0.114450i | ||||
\(202\) | 5.17523 | + | 22.6742i | 0.364128 | + | 1.59535i | ||||
\(203\) | −1.49600 | − | 7.55220i | −0.104999 | − | 0.530061i | ||||
\(204\) | 4.68543 | − | 20.5282i | 0.328046 | − | 1.43726i | ||||
\(205\) | −0.480141 | − | 6.40704i | −0.0335345 | − | 0.447487i | ||||
\(206\) | 14.4905 | + | 4.46971i | 1.00960 | + | 0.311420i | ||||
\(207\) | 0.0160808 | − | 0.214584i | 0.00111770 | − | 0.0149146i | ||||
\(208\) | −1.28271 | + | 3.26828i | −0.0889396 | + | 0.226614i | ||||
\(209\) | −2.11038 | + | 1.01631i | −0.145978 | + | 0.0702995i | ||||
\(210\) | 0.298981 | + | 6.50110i | 0.0206316 | + | 0.448618i | ||||
\(211\) | 4.02478 | + | 1.93823i | 0.277078 | + | 0.133434i | 0.567262 | − | 0.823537i | \(-0.308003\pi\) |
−0.290185 | + | 0.956971i | \(0.593717\pi\) | |||||||
\(212\) | 20.9171 | − | 19.4082i | 1.43659 | − | 1.33296i | ||||
\(213\) | 13.0459 | − | 1.96635i | 0.893887 | − | 0.134732i | ||||
\(214\) | −5.04146 | + | 8.73206i | −0.344627 | + | 0.596911i | ||||
\(215\) | 0.0288247 | + | 0.0499259i | 0.00196583 | + | 0.00340492i | ||||
\(216\) | −1.45045 | − | 1.81881i | −0.0986905 | − | 0.123754i | ||||
\(217\) | −3.70504 | + | 2.37249i | −0.251515 | + | 0.161055i | ||||
\(218\) | −23.9001 | + | 29.9697i | −1.61872 | + | 2.02981i | ||||
\(219\) | −26.9653 | − | 4.06437i | −1.82215 | − | 0.274645i | ||||
\(220\) | 4.94341 | − | 3.37036i | 0.333285 | − | 0.227230i | ||||
\(221\) | 4.47820 | − | 3.05318i | 0.301236 | − | 0.205379i | ||||
\(222\) | −31.4917 | − | 4.74660i | −2.11358 | − | 0.318571i | ||||
\(223\) | −7.46015 | + | 9.35473i | −0.499569 | + | 0.626439i | −0.966132 | − | 0.258049i | \(-0.916921\pi\) |
0.466563 | + | 0.884488i | \(0.345492\pi\) | |||||||
\(224\) | 20.3320 | + | 6.91977i | 1.35849 | + | 0.462346i | ||||
\(225\) | −0.174221 | − | 0.218467i | −0.0116148 | − | 0.0145645i | ||||
\(226\) | 0.118183 | + | 0.204699i | 0.00786143 | + | 0.0136164i | ||||
\(227\) | −8.56837 | + | 14.8408i | −0.568702 | + | 0.985021i | 0.427992 | + | 0.903782i | \(0.359221\pi\) |
−0.996695 | + | 0.0812390i | \(0.974112\pi\) | |||||||
\(228\) | 2.28499 | − | 0.344407i | 0.151327 | − | 0.0228089i | ||||
\(229\) | −11.4782 | + | 10.6503i | −0.758504 | + | 0.703789i | −0.961322 | − | 0.275428i | \(-0.911181\pi\) |
0.202818 | + | 0.979216i | \(0.434990\pi\) | |||||||
\(230\) | 4.42010 | + | 2.12861i | 0.291453 | + | 0.140356i | ||||
\(231\) | −17.5683 | + | 4.86890i | −1.15591 | + | 0.320350i | ||||
\(232\) | 1.18627 | − | 0.571279i | 0.0778827 | − | 0.0375063i | ||||
\(233\) | 1.34313 | − | 3.42223i | 0.0879911 | − | 0.224198i | −0.880104 | − | 0.474781i | \(-0.842527\pi\) |
0.968095 | + | 0.250583i | \(0.0806225\pi\) | |||||||
\(234\) | −0.00946614 | + | 0.126317i | −0.000618821 | + | 0.00825760i | ||||
\(235\) | −6.60092 | − | 2.03611i | −0.430597 | − | 0.132821i | ||||
\(236\) | 0.187548 | + | 2.50265i | 0.0122083 | + | 0.162909i | ||||
\(237\) | −2.39847 | + | 10.5084i | −0.155797 | + | 0.682592i | ||||
\(238\) | −17.6954 | − | 23.5520i | −1.14703 | − | 1.52665i | ||||
\(239\) | −1.66252 | − | 7.28397i | −0.107539 | − | 0.471161i | −0.999807 | − | 0.0196536i | \(-0.993744\pi\) |
0.892267 | − | 0.451507i | \(-0.149113\pi\) | |||||||
\(240\) | 4.01716 | − | 1.23913i | 0.259307 | − | 0.0799855i | ||||
\(241\) | 3.46923 | + | 8.83946i | 0.223473 | + | 0.569400i | 0.998005 | − | 0.0631349i | \(-0.0201098\pi\) |
−0.774532 | + | 0.632535i | \(0.782015\pi\) | |||||||
\(242\) | 6.78791 | + | 6.29826i | 0.436343 | + | 0.404867i | ||||
\(243\) | 0.529368 | + | 0.360917i | 0.0339590 | + | 0.0231528i | ||||
\(244\) | −24.3128 | −1.55647 | ||||||||
\(245\) | 3.79563 | + | 2.92206i | 0.242494 | + | 0.186684i | ||||
\(246\) | −33.7499 | −2.15182 | ||||||||
\(247\) | 0.491459 | + | 0.335071i | 0.0312708 | + | 0.0213201i | ||||
\(248\) | −0.551553 | − | 0.511766i | −0.0350236 | − | 0.0324972i | ||||
\(249\) | 3.29875 | + | 8.40509i | 0.209050 | + | 0.532651i | ||||
\(250\) | 12.8042 | − | 3.94958i | 0.809810 | − | 0.249793i | ||||
\(251\) | 2.17898 | + | 9.54673i | 0.137536 | + | 0.602584i | 0.995972 | + | 0.0896637i | \(0.0285792\pi\) |
−0.858436 | + | 0.512920i | \(0.828564\pi\) | |||||||
\(252\) | 0.362059 | + | 0.0104457i | 0.0228076 | + | 0.000658020i | ||||
\(253\) | −3.05806 | + | 13.3982i | −0.192259 | + | 0.842340i | ||||
\(254\) | −2.70086 | − | 36.0404i | −0.169467 | − | 2.26138i | ||||
\(255\) | −6.20138 | − | 1.91287i | −0.388346 | − | 0.119789i | ||||
\(256\) | 0.890598 | − | 11.8842i | 0.0556623 | − | 0.742762i | ||||
\(257\) | 2.42449 | − | 6.17749i | 0.151235 | − | 0.385342i | −0.835098 | − | 0.550101i | \(-0.814589\pi\) |
0.986334 | + | 0.164759i | \(0.0526846\pi\) | |||||||
\(258\) | 0.272838 | − | 0.131392i | 0.0169861 | − | 0.00818010i | ||||
\(259\) | −17.6361 | + | 15.4417i | −1.09585 | + | 0.959500i | ||||
\(260\) | −1.36887 | − | 0.659211i | −0.0848935 | − | 0.0408825i | ||||
\(261\) | −0.131530 | + | 0.122042i | −0.00814151 | + | 0.00755422i | ||||
\(262\) | −19.7841 | + | 2.98197i | −1.22226 | + | 0.184227i | ||||
\(263\) | 1.64659 | − | 2.85197i | 0.101533 | − | 0.175860i | −0.810784 | − | 0.585346i | \(-0.800959\pi\) |
0.912316 | + | 0.409486i | \(0.134292\pi\) | |||||||
\(264\) | −1.55888 | − | 2.70005i | −0.0959422 | − | 0.166177i | ||||
\(265\) | −5.48330 | − | 6.87584i | −0.336836 | − | 0.422380i | ||||
\(266\) | 1.69655 | − | 2.75204i | 0.104022 | − | 0.168738i | ||||
\(267\) | −8.35398 | + | 10.4756i | −0.511255 | + | 0.641094i | ||||
\(268\) | 6.90713 | + | 1.04108i | 0.421920 | + | 0.0635942i | ||||
\(269\) | 23.2335 | − | 15.8403i | 1.41657 | − | 0.965802i | 0.418223 | − | 0.908344i | \(-0.362653\pi\) |
0.998348 | − | 0.0574578i | \(-0.0182995\pi\) | |||||||
\(270\) | −5.97178 | + | 4.07149i | −0.363431 | + | 0.247783i | ||||
\(271\) | 4.13665 | + | 0.623500i | 0.251284 | + | 0.0378749i | 0.273476 | − | 0.961879i | \(-0.411827\pi\) |
−0.0221924 | + | 0.999754i | \(0.507065\pi\) | |||||||
\(272\) | −11.8647 | + | 14.8778i | −0.719401 | + | 0.902100i | ||||
\(273\) | 3.30139 | + | 3.24537i | 0.199809 | + | 0.196419i | ||||
\(274\) | 20.4179 | + | 25.6033i | 1.23349 | + | 1.54675i | ||||
\(275\) | 8.92286 | + | 15.4549i | 0.538069 | + | 0.931963i | ||||
\(276\) | 6.77885 | − | 11.7413i | 0.408039 | − | 0.706744i | ||||
\(277\) | −19.6594 | + | 2.96318i | −1.18122 | + | 0.178040i | −0.710147 | − | 0.704054i | \(-0.751371\pi\) |
−0.471074 | + | 0.882094i | \(0.656133\pi\) | |||||||
\(278\) | 11.2266 | − | 10.4168i | 0.673327 | − | 0.624756i | ||||
\(279\) | 0.0923800 | + | 0.0444878i | 0.00553064 | + | 0.00266342i | ||||
\(280\) | −0.321155 | + | 0.753624i | −0.0191927 | + | 0.0450376i | ||||
\(281\) | −5.05884 | + | 2.43621i | −0.301785 | + | 0.145332i | −0.578648 | − | 0.815577i | \(-0.696419\pi\) |
0.276863 | + | 0.960909i | \(0.410705\pi\) | |||||||
\(282\) | −13.2568 | + | 33.7778i | −0.789431 | + | 2.01144i | ||||
\(283\) | 1.87470 | − | 25.0161i | 0.111439 | − | 1.48705i | −0.608799 | − | 0.793324i | \(-0.708348\pi\) |
0.720238 | − | 0.693727i | \(-0.244032\pi\) | |||||||
\(284\) | 15.9970 | + | 4.93442i | 0.949247 | + | 0.292804i | ||||
\(285\) | −0.0532236 | − | 0.710219i | −0.00315269 | − | 0.0420698i | ||||
\(286\) | 1.80016 | − | 7.88701i | 0.106446 | − | 0.466368i | ||||
\(287\) | −16.0419 | + | 18.9669i | −0.946926 | + | 1.11958i | ||||
\(288\) | −0.111381 | − | 0.487990i | −0.00656316 | − | 0.0287551i | ||||
\(289\) | 11.8263 | − | 3.64794i | 0.695667 | − | 0.214585i | ||||
\(290\) | −1.49451 | − | 3.80795i | −0.0877606 | − | 0.223610i | ||||
\(291\) | 7.74225 | + | 7.18376i | 0.453859 | + | 0.421119i | ||||
\(292\) | −28.5899 | − | 19.4923i | −1.67310 | − | 1.14070i | ||||
\(293\) | −10.6698 | −0.623338 | −0.311669 | − | 0.950191i | \(-0.600888\pi\) | ||||
−0.311669 | + | 0.950191i | \(0.600888\pi\) | |||||||
\(294\) | 16.7964 | − | 18.7353i | 0.979584 | − | 1.09266i | ||||
\(295\) | 0.773503 | 0.0450351 | ||||||||
\(296\) | −3.31226 | − | 2.25826i | −0.192521 | − | 0.131259i | ||||
\(297\) | −14.8418 | − | 13.7711i | −0.861207 | − | 0.799083i | ||||
\(298\) | 8.19929 | + | 20.8914i | 0.474972 | + | 1.21021i | ||||
\(299\) | 3.33479 | − | 1.02865i | 0.192856 | − | 0.0594882i | ||||
\(300\) | −3.91756 | − | 17.1640i | −0.226181 | − | 0.990962i | ||||
\(301\) | 0.0558445 | − | 0.215784i | 0.00321882 | − | 0.0124376i | ||||
\(302\) | 9.13612 | − | 40.0280i | 0.525725 | − | 2.30335i | ||||
\(303\) | −1.48035 | − | 19.7539i | −0.0850437 | − | 1.13483i | ||||
\(304\) | −1.99560 | − | 0.615561i | −0.114456 | − | 0.0353049i | ||||
\(305\) | −0.559985 | + | 7.47248i | −0.0320646 | + | 0.427873i | ||||
\(306\) | −0.250827 | + | 0.639096i | −0.0143388 | + | 0.0365347i | ||||
\(307\) | 27.0697 | − | 13.0361i | 1.54495 | − | 0.744007i | 0.549161 | − | 0.835717i | \(-0.314947\pi\) |
0.995786 | + | 0.0917096i | \(0.0292332\pi\) | |||||||
\(308\) | −22.7652 | − | 4.10595i | −1.29717 | − | 0.233958i | ||||
\(309\) | −11.6369 | − | 5.60403i | −0.662000 | − | 0.318802i | ||||
\(310\) | −1.71361 | + | 1.59000i | −0.0973265 | + | 0.0903058i | ||||
\(311\) | 1.45981 | − | 0.220031i | 0.0827781 | − | 0.0124768i | −0.107523 | − | 0.994203i | \(-0.534292\pi\) |
0.190301 | + | 0.981726i | \(0.439054\pi\) | |||||||
\(312\) | −0.395860 | + | 0.685649i | −0.0224111 | + | 0.0388172i | ||||
\(313\) | 2.00999 | + | 3.48140i | 0.113611 | + | 0.196781i | 0.917224 | − | 0.398372i | \(-0.130425\pi\) |
−0.803612 | + | 0.595153i | \(0.797091\pi\) | |||||||
\(314\) | −27.4771 | − | 34.4553i | −1.55063 | − | 1.94442i | ||||
\(315\) | 0.0115496 | − | 0.111037i | 0.000650746 | − | 0.00625625i | ||||
\(316\) | −8.52739 | + | 10.6930i | −0.479703 | + | 0.601529i | ||||
\(317\) | −25.8533 | − | 3.89675i | −1.45206 | − | 0.218864i | −0.624848 | − | 0.780746i | \(-0.714839\pi\) |
−0.827217 | + | 0.561883i | \(0.810077\pi\) | |||||||
\(318\) | −38.1696 | + | 26.0236i | −2.14044 | + | 1.45933i | ||||
\(319\) | 9.46800 | − | 6.45517i | 0.530106 | − | 0.361420i | ||||
\(320\) | 6.53269 | + | 0.984645i | 0.365189 | + | 0.0550433i | ||||
\(321\) | 5.35457 | − | 6.71442i | 0.298863 | − | 0.374762i | ||||
\(322\) | −6.41773 | − | 17.8494i | −0.357646 | − | 0.994708i | ||||
\(323\) | 2.01006 | + | 2.52053i | 0.111843 | + | 0.140246i | ||||
\(324\) | 10.1923 | + | 17.6535i | 0.566237 | + | 0.980752i | ||||
\(325\) | 2.26586 | − | 3.92459i | 0.125688 | − | 0.217697i | ||||
\(326\) | −42.2438 | + | 6.36723i | −2.33967 | + | 0.352648i | ||||
\(327\) | 23.9339 | − | 22.2074i | 1.32355 | − | 1.22807i | ||||
\(328\) | −3.82761 | − | 1.84328i | −0.211344 | − | 0.101778i | ||||
\(329\) | 12.6814 | + | 23.5053i | 0.699148 | + | 1.29589i | ||||
\(330\) | −8.72723 | + | 4.20281i | −0.480418 | + | 0.231357i | ||||
\(331\) | −4.71913 | + | 12.0241i | −0.259387 | + | 0.660907i | −0.999938 | − | 0.0110926i | \(-0.996469\pi\) |
0.740552 | + | 0.671999i | \(0.234564\pi\) | |||||||
\(332\) | −0.856192 | + | 11.4251i | −0.0469896 | + | 0.627033i | ||||
\(333\) | 0.522033 | + | 0.161026i | 0.0286072 | + | 0.00882416i | ||||
\(334\) | −0.683342 | − | 9.11857i | −0.0373908 | − | 0.498946i | ||||
\(335\) | 0.479063 | − | 2.09891i | 0.0261740 | − | 0.114676i | ||||
\(336\) | −14.4347 | − | 7.47167i | −0.787479 | − | 0.407613i | ||||
\(337\) | −2.70582 | − | 11.8550i | −0.147396 | − | 0.645782i | −0.993603 | − | 0.112929i | \(-0.963977\pi\) |
0.846208 | − | 0.532853i | \(-0.178880\pi\) | |||||||
\(338\) | −1.96306 | + | 0.605523i | −0.106776 | + | 0.0329361i | ||||
\(339\) | −0.0735518 | − | 0.187407i | −0.00399479 | − | 0.0101786i | ||||
\(340\) | −6.03647 | − | 5.60103i | −0.327374 | − | 0.303759i | ||||
\(341\) | −5.41048 | − | 3.68880i | −0.292994 | − | 0.199760i | ||||
\(342\) | −0.0753458 | −0.00407424 | ||||||||
\(343\) | −2.54532 | − | 18.3445i | −0.137434 | − | 0.990511i | ||||
\(344\) | 0.0381188 | 0.00205523 | ||||||||
\(345\) | −3.45253 | − | 2.35390i | −0.185878 | − | 0.126729i | ||||
\(346\) | −28.0822 | − | 26.0565i | −1.50971 | − | 1.40080i | ||||
\(347\) | 10.3457 | + | 26.3605i | 0.555388 | + | 1.41510i | 0.882587 | + | 0.470149i | \(0.155800\pi\) |
−0.327200 | + | 0.944955i | \(0.606105\pi\) | |||||||
\(348\) | −10.8026 | + | 3.33215i | −0.579079 | + | 0.178622i | ||||
\(349\) | −5.58935 | − | 24.4885i | −0.299191 | − | 1.31084i | −0.871335 | − | 0.490688i | \(-0.836745\pi\) |
0.572144 | − | 0.820153i | \(-0.306112\pi\) | |||||||
\(350\) | −21.8743 | − | 11.3225i | −1.16923 | − | 0.605215i | ||||
\(351\) | −1.14407 | + | 5.01248i | −0.0610658 | + | 0.267547i | ||||
\(352\) | 2.38889 | + | 31.8775i | 0.127328 | + | 1.69908i | ||||
\(353\) | 12.5545 | + | 3.87256i | 0.668210 | + | 0.206115i | 0.610257 | − | 0.792204i | \(-0.291066\pi\) |
0.0579534 | + | 0.998319i | \(0.481543\pi\) | |||||||
\(354\) | 0.303638 | − | 4.05177i | 0.0161382 | − | 0.215349i | ||||
\(355\) | 1.88503 | − | 4.80299i | 0.100047 | − | 0.254916i | ||||
\(356\) | −15.3178 | + | 7.37669i | −0.811844 | + | 0.390964i | ||||
\(357\) | 11.9138 | + | 22.0826i | 0.630546 | + | 1.16873i | ||||
\(358\) | −41.3649 | − | 19.9203i | −2.18620 | − | 1.05282i | ||||
\(359\) | −14.5860 | + | 13.5338i | −0.769819 | + | 0.714287i | −0.963773 | − | 0.266723i | \(-0.914059\pi\) |
0.193955 | + | 0.981011i | \(0.437869\pi\) | |||||||
\(360\) | 0.0188787 | − | 0.00284550i | 0.000994993 | − | 0.000149971i | ||||
\(361\) | 9.32310 | − | 16.1481i | 0.490689 | − | 0.849899i | ||||
\(362\) | 10.5902 | + | 18.3427i | 0.556607 | + | 0.964072i | ||||
\(363\) | −4.91745 | − | 6.16629i | −0.258099 | − | 0.323646i | ||||
\(364\) | 1.98751 | + | 5.52779i | 0.104174 | + | 0.289735i | ||||
\(365\) | −6.64941 | + | 8.33809i | −0.348046 | + | 0.436436i | ||||
\(366\) | 38.9226 | + | 5.86664i | 2.03452 | + | 0.306654i | ||||
\(367\) | 10.3915 | − | 7.08479i | 0.542431 | − | 0.369823i | −0.260891 | − | 0.965368i | \(-0.584016\pi\) |
0.803322 | + | 0.595545i | \(0.203064\pi\) | |||||||
\(368\) | −10.1237 | + | 6.90222i | −0.527734 | + | 0.359803i | ||||
\(369\) | 0.572473 | + | 0.0862865i | 0.0298018 | + | 0.00449189i | ||||
\(370\) | −7.76556 | + | 9.73771i | −0.403712 | + | 0.506239i | ||||
\(371\) | −3.51783 | + | 33.8202i | −0.182636 | + | 1.75586i | ||||
\(372\) | 4.02782 | + | 5.05073i | 0.208833 | + | 0.261868i | ||||
\(373\) | −12.1292 | − | 21.0084i | −0.628026 | − | 1.08777i | −0.987947 | − | 0.154790i | \(-0.950530\pi\) |
0.359922 | − | 0.932983i | \(-0.382803\pi\) | |||||||
\(374\) | 21.9234 | − | 37.9724i | 1.13363 | − | 1.96351i | ||||
\(375\) | −11.2855 | + | 1.70102i | −0.582781 | + | 0.0878400i | ||||
\(376\) | −3.34826 | + | 3.10673i | −0.172673 | + | 0.160218i | ||||
\(377\) | −2.62176 | − | 1.26257i | −0.135027 | − | 0.0650257i | ||||
\(378\) | 27.5009 | + | 4.96010i | 1.41450 | + | 0.255120i | ||||
\(379\) | 23.3163 | − | 11.2285i | 1.19768 | − | 0.576771i | 0.274664 | − | 0.961540i | \(-0.411433\pi\) |
0.923013 | + | 0.384769i | \(0.125719\pi\) | |||||||
\(380\) | 0.330165 | − | 0.841247i | 0.0169371 | − | 0.0431550i | ||||
\(381\) | −2.30044 | + | 30.6972i | −0.117855 | + | 1.57267i | ||||
\(382\) | 18.2882 | + | 5.64115i | 0.935704 | + | 0.288627i | ||||
\(383\) | 2.32079 | + | 30.9688i | 0.118587 | + | 1.58243i | 0.666247 | + | 0.745732i | \(0.267900\pi\) |
−0.547660 | + | 0.836701i | \(0.684481\pi\) | |||||||
\(384\) | 1.40085 | − | 6.13751i | 0.0714866 | − | 0.313203i | ||||
\(385\) | −1.78629 | + | 6.90225i | −0.0910378 | + | 0.351771i | ||||
\(386\) | −5.24859 | − | 22.9956i | −0.267146 | − | 1.17044i | ||||
\(387\) | −0.00496386 | + | 0.00153115i | −0.000252327 | + | 7.78326e-5i | ||||
\(388\) | 4.89615 | + | 12.4752i | 0.248564 | + | 0.633332i | ||||
\(389\) | −22.7994 | − | 21.1548i | −1.15598 | − | 1.07259i | −0.996346 | − | 0.0854115i | \(-0.972780\pi\) |
−0.159630 | − | 0.987177i | \(-0.551030\pi\) | |||||||
\(390\) | 2.03237 | + | 1.38564i | 0.102913 | + | 0.0701648i | ||||
\(391\) | 18.9148 | 0.956564 | ||||||||
\(392\) | 2.92813 | − | 1.20743i | 0.147893 | − | 0.0609847i | ||||
\(393\) | 17.0413 | 0.859620 | ||||||||
\(394\) | 9.17745 | + | 6.25708i | 0.462353 | + | 0.315227i | ||||
\(395\) | 3.09006 | + | 2.86716i | 0.155478 | + | 0.144263i | ||||
\(396\) | 0.196961 | + | 0.501848i | 0.00989765 | + | 0.0252188i | ||||
\(397\) | 7.71796 | − | 2.38068i | 0.387353 | − | 0.119483i | −0.0949608 | − | 0.995481i | \(-0.530273\pi\) |
0.482314 | + | 0.875998i | \(0.339796\pi\) | |||||||
\(398\) | 0.231433 | + | 1.01397i | 0.0116007 | + | 0.0508259i | ||||
\(399\) | −1.77825 | + | 2.10248i | −0.0890237 | + | 0.105256i | ||||
\(400\) | −3.54049 | + | 15.5119i | −0.177024 | + | 0.775595i | ||||
\(401\) | −0.361598 | − | 4.82520i | −0.0180574 | − | 0.240959i | −0.998928 | − | 0.0462967i | \(-0.985258\pi\) |
0.980870 | − | 0.194662i | \(-0.0623610\pi\) | |||||||
\(402\) | −10.8065 | − | 3.33336i | −0.538979 | − | 0.166253i | ||||
\(403\) | −0.124267 | + | 1.65823i | −0.00619017 | + | 0.0826021i | ||||
\(404\) | 9.18312 | − | 23.3982i | 0.456877 | − | 1.16410i | ||||
\(405\) | 5.66053 | − | 2.72597i | 0.281274 | − | 0.135454i | ||||
\(406\) | −6.20047 | + | 14.5501i | −0.307724 | + | 0.722108i | ||||
\(407\) | −31.4345 | − | 15.1380i | −1.55815 | − | 0.750365i | ||||
\(408\) | −3.14560 | + | 2.91869i | −0.155730 | + | 0.144497i | ||||
\(409\) | 4.54774 | − | 0.685461i | 0.224871 | − | 0.0338939i | −0.0356401 | − | 0.999365i | \(-0.511347\pi\) |
0.260511 | + | 0.965471i | \(0.416109\pi\) | |||||||
\(410\) | −6.59952 | + | 11.4307i | −0.325927 | + | 0.564523i | ||||
\(411\) | −13.9464 | − | 24.1558i | −0.687924 | − | 1.19152i | ||||
\(412\) | −10.2184 | − | 12.8134i | −0.503422 | − | 0.631271i | ||||
\(413\) | −2.13271 | − | 2.09652i | −0.104944 | − | 0.103163i | ||||
\(414\) | −0.275621 | + | 0.345618i | −0.0135460 | + | 0.0169862i | ||||
\(415\) | 3.49175 | + | 0.526297i | 0.171403 | + | 0.0258349i | ||||
\(416\) | 6.70711 | − | 4.57283i | 0.328843 | − | 0.224202i | ||||
\(417\) | −10.7778 | + | 7.34815i | −0.527789 | + | 0.359841i | ||||
\(418\) | 4.75821 | + | 0.717184i | 0.232731 | + | 0.0350786i | ||||
\(419\) | −6.70871 | + | 8.41246i | −0.327742 | + | 0.410975i | −0.918215 | − | 0.396082i | \(-0.870370\pi\) |
0.590473 | + | 0.807057i | \(0.298941\pi\) | |||||||
\(420\) | 3.69101 | − | 5.98734i | 0.180103 | − | 0.292152i | ||||
\(421\) | 14.1989 | + | 17.8049i | 0.692014 | + | 0.867758i | 0.996399 | − | 0.0847914i | \(-0.0270224\pi\) |
−0.304385 | + | 0.952549i | \(0.598451\pi\) | |||||||
\(422\) | −4.58851 | − | 7.94754i | −0.223365 | − | 0.386880i | ||||
\(423\) | 0.311222 | − | 0.539053i | 0.0151321 | − | 0.0262096i | ||||
\(424\) | −5.75014 | + | 0.866695i | −0.279252 | + | 0.0420904i | ||||
\(425\) | 18.0051 | − | 16.7063i | 0.873377 | − | 0.810376i | ||||
\(426\) | −24.4191 | − | 11.7596i | −1.18311 | − | 0.569755i | ||||
\(427\) | 21.7976 | − | 19.0854i | 1.05486 | − | 0.923608i | ||||
\(428\) | 9.81814 | − | 4.72817i | 0.474578 | − | 0.228545i | ||||
\(429\) | −2.51737 | + | 6.41416i | −0.121540 | + | 0.309678i | ||||
\(430\) | 0.00885035 | − | 0.118100i | 0.000426802 | − | 0.00569527i | ||||
\(431\) | 12.8497 | + | 3.96361i | 0.618949 | + | 0.190921i | 0.588344 | − | 0.808611i | \(-0.299780\pi\) |
0.0306056 | + | 0.999532i | \(0.490256\pi\) | |||||||
\(432\) | −1.34898 | − | 18.0008i | −0.0649027 | − | 0.866066i | ||||
\(433\) | −1.67778 | + | 7.35082i | −0.0806288 | + | 0.353258i | −0.999109 | − | 0.0422097i | \(-0.986560\pi\) |
0.918480 | + | 0.395467i | \(0.129417\pi\) | |||||||
\(434\) | 9.03436 | + | 0.260650i | 0.433663 | + | 0.0125116i | ||||
\(435\) | 0.775319 | + | 3.39689i | 0.0371737 | + | 0.162869i | ||||
\(436\) | 39.5883 | − | 12.2114i | 1.89594 | − | 0.584819i | ||||
\(437\) | 0.758377 | + | 1.93231i | 0.0362781 | + | 0.0924350i | ||||
\(438\) | 41.0665 | + | 38.1041i | 1.96223 | + | 1.82069i | ||||
\(439\) | −25.2827 | − | 17.2374i | −1.20668 | − | 0.822697i | −0.218472 | − | 0.975843i | \(-0.570107\pi\) |
−0.988204 | + | 0.153146i | \(0.951059\pi\) | |||||||
\(440\) | −1.21930 | −0.0581280 | ||||||||
\(441\) | −0.332803 | + | 0.274849i | −0.0158478 | + | 0.0130881i | ||||
\(442\) | −11.1344 | −0.529609 | ||||||||
\(443\) | −3.46985 | − | 2.36571i | −0.164858 | − | 0.112398i | 0.478081 | − | 0.878316i | \(-0.341333\pi\) |
−0.642939 | + | 0.765918i | \(0.722285\pi\) | |||||||
\(444\) | 25.2314 | + | 23.4113i | 1.19743 | + | 1.11105i | ||||
\(445\) | 1.91440 | + | 4.87781i | 0.0907512 | + | 0.231230i | ||||
\(446\) | 23.4883 | − | 7.24518i | 1.11220 | − | 0.343069i | ||||
\(447\) | −4.25361 | − | 18.6363i | −0.201189 | − | 0.881466i | ||||
\(448\) | −15.3432 | − | 20.4212i | −0.724899 | − | 0.964813i | ||||
\(449\) | 0.0130632 | − | 0.0572335i | 0.000616489 | − | 0.00270102i | −0.974619 | − | 0.223871i | \(-0.928130\pi\) |
0.975235 | + | 0.221170i | \(0.0709876\pi\) | |||||||
\(450\) | 0.0428980 | + | 0.572434i | 0.00202223 | + | 0.0269848i | ||||
\(451\) | −35.3312 | − | 10.8982i | −1.66368 | − | 0.513178i | ||||
\(452\) | 0.0190904 | − | 0.254743i | 0.000897936 | − | 0.0119821i | ||||
\(453\) | −12.7761 | + | 32.5530i | −0.600274 | + | 1.52947i | ||||
\(454\) | 31.7181 | − | 15.2746i | 1.48860 | − | 0.716874i | ||||
\(455\) | 1.74473 | − | 0.483538i | 0.0817942 | − | 0.0226686i | ||||
\(456\) | −0.424290 | − | 0.204327i | −0.0198692 | − | 0.00956849i | ||||
\(457\) | −23.6019 | + | 21.8994i | −1.10405 | + | 1.02441i | −0.104498 | + | 0.994525i | \(0.533324\pi\) |
−0.999553 | + | 0.0298847i | \(0.990486\pi\) | |||||||
\(458\) | 31.8077 | − | 4.79424i | 1.48628 | − | 0.224020i | ||||
\(459\) | −13.9331 | + | 24.1329i | −0.650342 | + | 1.12643i | ||||
\(460\) | −2.65110 | − | 4.59184i | −0.123608 | − | 0.214096i | ||||
\(461\) | −7.67647 | − | 9.62599i | −0.357529 | − | 0.448327i | 0.570242 | − | 0.821477i | \(-0.306849\pi\) |
−0.927771 | + | 0.373149i | \(0.878278\pi\) | |||||||
\(462\) | 35.4542 | + | 12.0665i | 1.64948 | + | 0.561382i | ||||
\(463\) | 13.0286 | − | 16.3374i | 0.605491 | − | 0.759262i | −0.380731 | − | 0.924686i | \(-0.624328\pi\) |
0.986223 | + | 0.165424i | \(0.0528991\pi\) | |||||||
\(464\) | 10.1026 | + | 1.52272i | 0.469001 | + | 0.0706905i | ||||
\(465\) | 1.64510 | − | 1.12161i | 0.0762897 | − | 0.0520134i | ||||
\(466\) | −6.24012 | + | 4.25444i | −0.289068 | + | 0.197083i | ||||
\(467\) | 20.8655 | + | 3.14496i | 0.965538 | + | 0.145532i | 0.612841 | − | 0.790206i | \(-0.290026\pi\) |
0.352697 | + | 0.935738i | \(0.385265\pi\) | |||||||
\(468\) | 0.0853572 | − | 0.107035i | 0.00394564 | − | 0.00494768i | ||||
\(469\) | −7.00982 | + | 4.48868i | −0.323683 | + | 0.207268i | ||||
\(470\) | 8.84788 | + | 11.0949i | 0.408122 | + | 0.511769i | ||||
\(471\) | 18.7682 | + | 32.5074i | 0.864791 | + | 1.49786i | ||||
\(472\) | 0.255727 | − | 0.442932i | 0.0117708 | − | 0.0203876i | ||||
\(473\) | 0.328050 | − | 0.0494455i | 0.0150837 | − | 0.00227351i | ||||
\(474\) | 16.2318 | − | 15.0609i | 0.745552 | − | 0.691771i | ||||
\(475\) | 2.42860 | + | 1.16955i | 0.111432 | + | 0.0536626i | ||||
\(476\) | 1.46267 | + | 31.8046i | 0.0670415 | + | 1.45776i | ||||
\(477\) | 0.713974 | − | 0.343832i | 0.0326906 | − | 0.0157430i | ||||
\(478\) | −5.60742 | + | 14.2875i | −0.256478 | + | 0.653494i | ||||
\(479\) | 1.55656 | − | 20.7709i | 0.0711211 | − | 0.949046i | −0.841505 | − | 0.540250i | \(-0.818330\pi\) |
0.912626 | − | 0.408796i | \(-0.134051\pi\) | |||||||
\(480\) | −9.28797 | − | 2.86496i | −0.423936 | − | 0.130767i | ||||
\(481\) | 0.662097 | + | 8.83506i | 0.0301890 | + | 0.402844i | ||||
\(482\) | 4.34085 | − | 19.0185i | 0.197720 | − | 0.866270i | ||||
\(483\) | 3.13930 | + | 15.8480i | 0.142843 | + | 0.721110i | ||||
\(484\) | −2.22692 | − | 9.75679i | −0.101224 | − | 0.443491i | ||||
\(485\) | 3.94699 | − | 1.21749i | 0.179224 | − | 0.0552832i | ||||
\(486\) | −0.480861 | − | 1.22521i | −0.0218123 | − | 0.0555768i | ||||
\(487\) | −21.7493 | − | 20.1804i | −0.985554 | − | 0.914460i | 0.0107860 | − | 0.999942i | \(-0.496567\pi\) |
−0.996340 | + | 0.0854816i | \(0.972757\pi\) | |||||||
\(488\) | 4.09384 | + | 2.79113i | 0.185319 | + | 0.126349i | ||||
\(489\) | 36.3873 | 1.64549 | ||||||||
\(490\) | −3.06102 | − | 9.35227i | −0.138283 | − | 0.422493i | ||||
\(491\) | 18.1131 | 0.817431 | 0.408715 | − | 0.912662i | \(-0.365977\pi\) | ||||
0.408715 | + | 0.912662i | \(0.365977\pi\) | |||||||
\(492\) | 30.1378 | + | 20.5476i | 1.35872 | + | 0.926358i | ||||
\(493\) | −11.5615 | − | 10.7275i | −0.520704 | − | 0.483143i | ||||
\(494\) | −0.446426 | − | 1.13747i | −0.0200856 | − | 0.0511774i | ||||
\(495\) | 0.158778 | − | 0.0489766i | 0.00713655 | − | 0.00220133i | ||||
\(496\) | −1.29915 | − | 5.69194i | −0.0583335 | − | 0.255576i | ||||
\(497\) | −18.2156 | + | 8.13361i | −0.817080 | + | 0.364842i | ||||
\(498\) | 4.12754 | − | 18.0839i | 0.184960 | − | 0.810361i | ||||
\(499\) | 0.967904 | + | 12.9158i | 0.0433293 | + | 0.578190i | 0.976044 | + | 0.217574i | \(0.0698144\pi\) |
−0.932714 | + | 0.360616i | \(0.882567\pi\) | |||||||
\(500\) | −13.8384 | − | 4.26859i | −0.618873 | − | 0.190897i | ||||
\(501\) | −0.582033 | + | 7.76669i | −0.0260033 | + | 0.346990i | ||||
\(502\) | 7.34936 | − | 18.7259i | 0.328018 | − | 0.835777i | ||||
\(503\) | 9.35480 | − | 4.50503i | 0.417110 | − | 0.200870i | −0.213545 | − | 0.976933i | \(-0.568501\pi\) |
0.630654 | + | 0.776064i | \(0.282787\pi\) | |||||||
\(504\) | −0.0597650 | − | 0.0433236i | −0.00266215 | − | 0.00192978i | ||||
\(505\) | −6.97987 | − | 3.36133i | −0.310600 | − | 0.149577i | ||||
\(506\) | 20.6957 | − | 19.2028i | 0.920034 | − | 0.853667i | ||||
\(507\) | 1.73022 | − | 0.260788i | 0.0768416 | − | 0.0115820i | ||||
\(508\) | −19.5303 | + | 33.8275i | −0.866517 | + | 1.50085i | ||||
\(509\) | 1.77772 | + | 3.07911i | 0.0787962 | + | 0.136479i | 0.902731 | − | 0.430206i | \(-0.141559\pi\) |
−0.823935 | + | 0.566685i | \(0.808226\pi\) | |||||||
\(510\) | 8.31234 | + | 10.4233i | 0.368077 | + | 0.461553i | ||||
\(511\) | 40.9336 | − | 4.96718i | 1.81080 | − | 0.219735i | ||||
\(512\) | −19.7510 | + | 24.7670i | −0.872879 | + | 1.09456i | ||||
\(513\) | −3.02402 | − | 0.455797i | −0.133514 | − | 0.0201239i | ||||
\(514\) | −11.2641 | + | 7.67973i | −0.496838 | + | 0.338738i | ||||
\(515\) | −4.17352 | + | 2.84546i | −0.183907 | + | 0.125386i | ||||
\(516\) | −0.323631 | − | 0.0487795i | −0.0142471 | − | 0.00214740i | ||||
\(517\) | −24.7852 | + | 31.0796i | −1.09005 | + | 1.36688i | ||||
\(518\) | 47.8046 | − | 5.80095i | 2.10041 | − | 0.254879i | ||||
\(519\) | 20.3439 | + | 25.5105i | 0.893000 | + | 1.11979i | ||||
\(520\) | 0.154814 | + | 0.268146i | 0.00678906 | + | 0.0117590i | ||||
\(521\) | −1.40762 | + | 2.43806i | −0.0616688 | + | 0.106814i | −0.895211 | − | 0.445642i | \(-0.852976\pi\) |
0.833543 | + | 0.552455i | \(0.186309\pi\) | |||||||
\(522\) | 0.364487 | − | 0.0549376i | 0.0159532 | − | 0.00240455i | ||||
\(523\) | 10.3993 | − | 9.64918i | 0.454732 | − | 0.421929i | −0.419263 | − | 0.907865i | \(-0.637711\pi\) |
0.873995 | + | 0.485935i | \(0.161521\pi\) | |||||||
\(524\) | 19.4821 | + | 9.38211i | 0.851081 | + | 0.409859i | ||||
\(525\) | 16.9859 | + | 12.3131i | 0.741326 | + | 0.537386i | ||||
\(526\) | −6.09527 | + | 2.93533i | −0.265767 | + | 0.127986i | ||||
\(527\) | −3.29273 | + | 8.38973i | −0.143433 | + | 0.365462i | ||||
\(528\) | 1.80789 | − | 24.1247i | 0.0786785 | − | 1.04989i | ||||
\(529\) | −10.3403 | − | 3.18956i | −0.449578 | − | 0.138677i | ||||
\(530\) | 1.35014 | + | 18.0163i | 0.0586461 | + | 0.782578i | ||||
\(531\) | −0.0155093 | + | 0.0679507i | −0.000673047 | + | 0.00294881i | ||||
\(532\) | −3.19047 | + | 1.42461i | −0.138324 | + | 0.0617646i | ||||
\(533\) | 2.08928 | + | 9.15371i | 0.0904966 | + | 0.396491i | ||||
\(534\) | 26.3025 | − | 8.11325i | 1.13822 | − | 0.351095i | ||||
\(535\) | −1.22705 | − | 3.12648i | −0.0530502 | − | 0.135170i | ||||
\(536\) | −1.04352 | − | 0.968244i | −0.0450732 | − | 0.0418218i | ||||
\(537\) | 32.3100 | + | 22.0286i | 1.39428 | + | 0.950604i | ||||
\(538\) | −57.7668 | −2.49050 | ||||||||
\(539\) | 23.6332 | − | 14.1893i | 1.01795 | − | 0.611178i | ||||
\(540\) | 7.81145 | 0.336151 | ||||||||
\(541\) | −21.0077 | − | 14.3228i | −0.903193 | − | 0.615786i | 0.0201360 | − | 0.999797i | \(-0.493590\pi\) |
−0.923329 | + | 0.384011i | \(0.874542\pi\) | |||||||
\(542\) | −6.29986 | − | 5.84542i | −0.270602 | − | 0.251082i | ||||
\(543\) | −6.59084 | − | 16.7932i | −0.282840 | − | 0.720665i | ||||
\(544\) | 42.0428 | − | 12.9685i | 1.80257 | − | 0.556019i | ||||
\(545\) | −2.84132 | − | 12.4486i | −0.121709 | − | 0.533241i | ||||
\(546\) | −1.84798 | − | 9.32909i | −0.0790863 | − | 0.399248i | ||||
\(547\) | 0.319778 | − | 1.40104i | 0.0136727 | − | 0.0599042i | −0.967631 | − | 0.252368i | \(-0.918791\pi\) |
0.981304 | + | 0.192464i | \(0.0616478\pi\) | |||||||
\(548\) | −2.64491 | − | 35.2939i | −0.112985 | − | 1.50768i | ||||
\(549\) | −0.645215 | − | 0.199022i | −0.0275371 | − | 0.00849407i | ||||
\(550\) | 2.73968 | − | 36.5584i | 0.116820 | − | 1.55886i | ||||
\(551\) | 0.632357 | − | 1.61122i | 0.0269393 | − | 0.0686403i | ||||
\(552\) | −2.48935 | + | 1.19881i | −0.105954 | + | 0.0510246i | ||||
\(553\) | −0.748740 | − | 16.2808i | −0.0318397 | − | 0.692328i | ||||
\(554\) | 36.7983 | + | 17.7211i | 1.56341 | + | 0.752899i | ||||
\(555\) | 7.77656 | − | 7.21559i | 0.330097 | − | 0.306285i | ||||
\(556\) | −16.3670 | + | 2.46693i | −0.694115 | + | 0.104621i | ||||
\(557\) | −1.31155 | + | 2.27167i | −0.0555721 | + | 0.0962538i | −0.892473 | − | 0.451100i | \(-0.851032\pi\) |
0.836901 | + | 0.547354i | \(0.184365\pi\) | |||||||
\(558\) | −0.105319 | − | 0.182418i | −0.00445851 | − | 0.00772237i | ||||
\(559\) | −0.0525263 | − | 0.0658658i | −0.00222162 | − | 0.00278583i | ||||
\(560\) | −5.35316 | + | 3.42786i | −0.226212 | + | 0.144853i | ||||
\(561\) | −23.2850 | + | 29.1984i | −0.983093 | + | 1.23276i | ||||
\(562\) | 11.4060 | + | 1.71917i | 0.481132 | + | 0.0725190i | ||||
\(563\) | 18.2474 | − | 12.4409i | 0.769036 | − | 0.524320i | −0.114082 | − | 0.993471i | \(-0.536393\pi\) |
0.883118 | + | 0.469151i | \(0.155440\pi\) | |||||||
\(564\) | 32.4025 | − | 22.0917i | 1.36439 | − | 0.930227i | ||||
\(565\) | −0.0778551 | − | 0.0117348i | −0.00327539 | − | 0.000493685i | ||||
\(566\) | −32.1317 | + | 40.2919i | −1.35060 | + | 1.69359i | ||||
\(567\) | −22.9958 | − | 7.82636i | −0.965733 | − | 0.328676i | ||||
\(568\) | −2.12713 | − | 2.66734i | −0.0892524 | − | 0.111919i | ||||
\(569\) | 15.5352 | + | 26.9078i | 0.651270 | + | 1.12803i | 0.982815 | + | 0.184593i | \(0.0590966\pi\) |
−0.331546 | + | 0.943439i | \(0.607570\pi\) | |||||||
\(570\) | −0.731556 | + | 1.26709i | −0.0306415 | + | 0.0530727i | ||||
\(571\) | 4.11039 | − | 0.619541i | 0.172014 | − | 0.0259270i | −0.0624703 | − | 0.998047i | \(-0.519898\pi\) |
0.234485 | + | 0.972120i | \(0.424660\pi\) | |||||||
\(572\) | −6.40926 | + | 5.94692i | −0.267984 | + | 0.248653i | ||||
\(573\) | −14.6867 | − | 7.07276i | −0.613548 | − | 0.295469i | ||||
\(574\) | 49.1784 | − | 13.6294i | 2.05267 | − | 0.568879i | ||||
\(575\) | 14.2488 | − | 6.86187i | 0.594217 | − | 0.286160i | ||||
\(576\) | −0.217485 | + | 0.554142i | −0.00906186 | + | 0.0230892i | ||||
\(577\) | −1.84044 | + | 24.5590i | −0.0766186 | + | 1.02240i | 0.817896 | + | 0.575366i | \(0.195140\pi\) |
−0.894515 | + | 0.447038i | \(0.852479\pi\) | |||||||
\(578\) | −24.2951 | − | 7.49406i | −1.01054 | − | 0.311712i | ||||
\(579\) | 1.50133 | + | 20.0339i | 0.0623932 | + | 0.832579i | ||||
\(580\) | −0.983794 | + | 4.31028i | −0.0408498 | + | 0.178975i | ||||
\(581\) | −8.20101 | − | 10.9152i | −0.340235 | − | 0.452841i | ||||
\(582\) | −4.82806 | − | 21.1531i | −0.200129 | − | 0.876825i | ||||
\(583\) | −48.3613 | + | 14.9175i | −2.00292 | + | 0.617820i | ||||
\(584\) | 2.57630 | + | 6.56430i | 0.106608 | + | 0.271633i | ||||
\(585\) | −0.0309308 | − | 0.0286996i | −0.00127883 | − | 0.00118658i | ||||
\(586\) | 18.1106 | + | 12.3476i | 0.748141 | + | 0.510074i | ||||
\(587\) | −28.2226 | −1.16487 | −0.582436 | − | 0.812877i | \(-0.697900\pi\) | ||||
−0.582436 | + | 0.812877i | \(0.697900\pi\) | |||||||
\(588\) | −26.4051 | + | 6.50415i | −1.08893 | + | 0.268226i | ||||
\(589\) | −0.989102 | −0.0407552 | ||||||||
\(590\) | −1.31292 | − | 0.895131i | −0.0540519 | − | 0.0368519i | ||||
\(591\) | −6.93522 | − | 6.43495i | −0.285277 | − | 0.264698i | ||||
\(592\) | −11.3646 | − | 28.9564i | −0.467081 | − | 1.19010i | ||||
\(593\) | −0.766351 | + | 0.236388i | −0.0314702 | + | 0.00970728i | −0.310450 | − | 0.950590i | \(-0.600480\pi\) |
0.278980 | + | 0.960297i | \(0.410004\pi\) | |||||||
\(594\) | 9.25531 | + | 40.5502i | 0.379750 | + | 1.66379i | ||||
\(595\) | 9.80877 | + | 0.282992i | 0.402120 | + | 0.0116015i | ||||
\(596\) | 5.39737 | − | 23.6474i | 0.221085 | − | 0.968635i | ||||
\(597\) | −0.0662001 | − | 0.883379i | −0.00270939 | − | 0.0361543i | ||||
\(598\) | −6.85075 | − | 2.11318i | −0.280148 | − | 0.0864142i | ||||
\(599\) | 3.12932 | − | 41.7578i | 0.127860 | − | 1.70618i | −0.452455 | − | 0.891787i | \(-0.649452\pi\) |
0.580316 | − | 0.814392i | \(-0.302929\pi\) | |||||||
\(600\) | −1.31079 | + | 3.33984i | −0.0535128 | + | 0.136348i | ||||
\(601\) | −4.07386 | + | 1.96187i | −0.166176 | + | 0.0800262i | −0.515123 | − | 0.857116i | \(-0.672254\pi\) |
0.348947 | + | 0.937143i | \(0.386539\pi\) | |||||||
\(602\) | −0.344503 | + | 0.301638i | −0.0140409 | + | 0.0122938i | ||||
\(603\) | 0.174780 | + | 0.0841695i | 0.00711758 | + | 0.00342765i | ||||
\(604\) | −32.5281 | + | 30.1817i | −1.32355 | + | 1.22808i | ||||
\(605\) | −3.05002 | + | 0.459716i | −0.124001 | + | 0.0186901i | ||||
\(606\) | −20.3473 | + | 35.2426i | −0.826553 | + | 1.43163i | ||||
\(607\) | −18.1210 | − | 31.3865i | −0.735509 | − | 1.27394i | −0.954500 | − | 0.298212i | \(-0.903610\pi\) |
0.218991 | − | 0.975727i | \(-0.429723\pi\) | |||||||
\(608\) | 3.01052 | + | 3.77507i | 0.122093 | + | 0.153099i | ||||
\(609\) | 7.06930 | − | 11.4674i | 0.286463 | − | 0.464682i | ||||
\(610\) | 9.59797 | − | 12.0355i | 0.388610 | − | 0.487302i | ||||
\(611\) | 9.98192 | + | 1.50453i | 0.403825 | + | 0.0608669i | ||||
\(612\) | 0.613076 | − | 0.417988i | 0.0247821 | − | 0.0168962i | ||||
\(613\) | 12.5462 | − | 8.55387i | 0.506737 | − | 0.345488i | −0.282812 | − | 0.959175i | \(-0.591267\pi\) |
0.789549 | + | 0.613688i | \(0.210315\pi\) | |||||||
\(614\) | −61.0329 | − | 9.19923i | −2.46309 | − | 0.371251i | ||||
\(615\) | 7.00941 | − | 8.78952i | 0.282647 | − | 0.354428i | ||||
\(616\) | 3.36188 | + | 3.30483i | 0.135454 | + | 0.133155i | ||||
\(617\) | −4.70151 | − | 5.89550i | −0.189275 | − | 0.237344i | 0.678135 | − | 0.734938i | \(-0.262789\pi\) |
−0.867410 | + | 0.497594i | \(0.834217\pi\) | |||||||
\(618\) | 13.2668 | + | 22.9788i | 0.533670 | + | 0.924343i | ||||
\(619\) | 21.1670 | − | 36.6624i | 0.850775 | − | 1.47358i | −0.0297357 | − | 0.999558i | \(-0.509467\pi\) |
0.880510 | − | 0.474027i | \(-0.157200\pi\) | |||||||
\(620\) | 2.49823 | − | 0.376548i | 0.100331 | − | 0.0151225i | ||||
\(621\) | −13.1529 | + | 12.2041i | −0.527806 | + | 0.489732i | ||||
\(622\) | −2.73245 | − | 1.31588i | −0.109561 | − | 0.0527620i | ||||
\(623\) | 7.94253 | − | 18.6380i | 0.318211 | − | 0.746715i | ||||
\(624\) | −5.53499 | + | 2.66551i | −0.221577 | + | 0.106706i | ||||
\(625\) | 6.64746 | − | 16.9375i | 0.265898 | − | 0.677498i | ||||
\(626\) | 0.617147 | − | 8.23525i | 0.0246661 | − | 0.329147i | ||||
\(627\) | −3.91646 | − | 1.20807i | −0.156409 | − | 0.0482456i | ||||
\(628\) | 3.55935 | + | 47.4963i | 0.142034 | + | 1.89531i | ||||
\(629\) | −10.6855 | + | 46.8162i | −0.426058 | + | 1.86668i | ||||
\(630\) | −0.148101 | + | 0.175105i | −0.00590049 | + | 0.00697635i | ||||
\(631\) | −7.22254 | − | 31.6440i | −0.287525 | − | 1.25973i | −0.887910 | − | 0.460018i | \(-0.847843\pi\) |
0.600385 | − | 0.799711i | \(-0.295014\pi\) | |||||||
\(632\) | 2.66343 | − | 0.821558i | 0.105945 | − | 0.0326798i | ||||
\(633\) | 2.85568 | + | 7.27616i | 0.113503 | + | 0.289201i | ||||
\(634\) | 39.3729 | + | 36.5327i | 1.56370 | + | 1.45090i | ||||
\(635\) | 9.94697 | + | 6.78173i | 0.394733 | + | 0.269125i | ||||
\(636\) | 49.9281 | 1.97978 | ||||||||
\(637\) | −6.12119 | − | 3.39574i | −0.242530 | − | 0.134544i | ||||
\(638\) | −23.5408 | −0.931991 | ||||||||
\(639\) | 0.384137 | + | 0.261900i | 0.0151962 | + | 0.0103606i | ||||
\(640\) | −1.80478 | − | 1.67459i | −0.0713402 | − | 0.0661940i | ||||
\(641\) | 4.60958 | + | 11.7450i | 0.182068 | + | 0.463900i | 0.992546 | − | 0.121867i | \(-0.0388883\pi\) |
−0.810479 | + | 0.585768i | \(0.800793\pi\) | |||||||
\(642\) | −16.8589 | + | 5.20027i | −0.665366 | + | 0.205238i | ||||
\(643\) | 3.45169 | + | 15.1228i | 0.136121 | + | 0.596386i | 0.996266 | + | 0.0863361i | \(0.0275159\pi\) |
−0.860145 | + | 0.510050i | \(0.829627\pi\) | |||||||
\(644\) | −5.13619 | + | 19.8463i | −0.202394 | + | 0.782053i | ||||
\(645\) | −0.0224463 | + | 0.0983437i | −0.000883823 | + | 0.00387228i | ||||
\(646\) | −0.494930 | − | 6.60438i | −0.0194728 | − | 0.259846i | ||||
\(647\) | 26.8472 | + | 8.28125i | 1.05547 | + | 0.325570i | 0.773462 | − | 0.633842i | \(-0.218523\pi\) |
0.282008 | + | 0.959412i | \(0.408999\pi\) | |||||||
\(648\) | 0.310446 | − | 4.14262i | 0.0121955 | − | 0.162737i | ||||
\(649\) | 1.62623 | − | 4.14357i | 0.0638351 | − | 0.162649i | ||||
\(650\) | −8.38770 | + | 4.03930i | −0.328993 | + | 0.158435i | ||||
\(651\) | −7.57593 | − | 1.36640i | −0.296924 | − | 0.0535535i | ||||
\(652\) | 41.5991 | + | 20.0331i | 1.62915 | + | 0.784556i | ||||
\(653\) | −28.8949 | + | 26.8105i | −1.13074 | + | 1.04918i | −0.132427 | + | 0.991193i | \(0.542277\pi\) |
−0.998317 | + | 0.0579852i | \(0.981532\pi\) | |||||||
\(654\) | −66.3240 | + | 9.99673i | −2.59347 | + | 0.390903i | ||||
\(655\) | 3.33229 | − | 5.77170i | 0.130203 | − | 0.225519i | ||||
\(656\) | −16.4825 | − | 28.5485i | −0.643534 | − | 1.11463i | ||||
\(657\) | −0.599160 | − | 0.751323i | −0.0233755 | − | 0.0293119i | ||||
\(658\) | 5.67638 | − | 54.5725i | 0.221288 | − | 2.12746i | ||||
\(659\) | 4.17158 | − | 5.23100i | 0.162502 | − | 0.203771i | −0.693914 | − | 0.720058i | \(-0.744115\pi\) |
0.856415 | + | 0.516288i | \(0.172686\pi\) | |||||||
\(660\) | 10.3519 | + | 1.56030i | 0.402949 | + | 0.0607348i | ||||
\(661\) | −7.24951 | + | 4.94263i | −0.281973 | + | 0.192246i | −0.696045 | − | 0.717998i | \(-0.745059\pi\) |
0.414072 | + | 0.910244i | \(0.364106\pi\) | |||||||
\(662\) | 21.9249 | − | 14.9482i | 0.852137 | − | 0.580977i | ||||
\(663\) | 9.37774 | + | 1.41347i | 0.364201 | + | 0.0548945i | ||||
\(664\) | 1.45578 | − | 1.82549i | 0.0564951 | − | 0.0708426i | ||||
\(665\) | 0.364365 | + | 1.01340i | 0.0141295 | + | 0.0392978i | ||||
\(666\) | −0.699734 | − | 0.877438i | −0.0271141 | − | 0.0340000i | ||||
\(667\) | −5.07759 | − | 8.79464i | −0.196605 | − | 0.340530i | ||||
\(668\) | −4.94136 | + | 8.55868i | −0.191187 | + | 0.331145i | ||||
\(669\) | −20.7023 | + | 3.12037i | −0.800398 | + | 0.120641i | ||||
\(670\) | −3.24209 | + | 3.00822i | −0.125253 | + | 0.116218i | ||||
\(671\) | 38.8519 | + | 18.7101i | 1.49986 | + | 0.722295i | ||||
\(672\) | 17.8436 | + | 33.0736i | 0.688334 | + | 1.27584i | ||||
\(673\) | 13.8593 | − | 6.67429i | 0.534237 | − | 0.257275i | −0.147257 | − | 0.989098i | \(-0.547045\pi\) |
0.681495 | + | 0.731823i | \(0.261330\pi\) | |||||||
\(674\) | −9.12633 | + | 23.2535i | −0.351533 | + | 0.895692i | ||||
\(675\) | −1.74117 | + | 23.2342i | −0.0670175 | + | 0.894286i | ||||
\(676\) | 2.12161 | + | 0.654431i | 0.0816005 | + | 0.0251704i | ||||
\(677\) | −3.22346 | − | 43.0141i | −0.123888 | − | 1.65317i | −0.619776 | − | 0.784779i | \(-0.712776\pi\) |
0.495888 | − | 0.868386i | \(-0.334843\pi\) | |||||||
\(678\) | −0.0920312 | + | 0.403215i | −0.00353444 | + | 0.0154854i | ||||
\(679\) | −14.1826 | − | 7.34116i | −0.544278 | − | 0.281728i | ||||
\(680\) | 0.373430 | + | 1.63610i | 0.0143204 | + | 0.0627418i | ||||
\(681\) | −28.6530 | + | 8.83828i | −1.09799 | + | 0.338684i | ||||
\(682\) | 4.91471 | + | 12.5225i | 0.188194 | + | 0.479510i | ||||
\(683\) | −19.5766 | − | 18.1644i | −0.749077 | − | 0.695042i | 0.210153 | − | 0.977669i | \(-0.432604\pi\) |
−0.959230 | + | 0.282627i | \(0.908794\pi\) | |||||||
\(684\) | 0.0672819 | + | 0.0458720i | 0.00257259 | + | 0.00175396i | ||||
\(685\) | −10.9084 | −0.416789 | ||||||||
\(686\) | −16.9087 | + | 34.0829i | −0.645578 | + | 1.30129i | ||||
\(687\) | −27.3980 | −1.04530 | ||||||||
\(688\) | 0.244389 | + | 0.166621i | 0.00931723 | + | 0.00635238i | ||||
\(689\) | 9.42104 | + | 8.74145i | 0.358913 | + | 0.333023i | ||||
\(690\) | 3.13617 | + | 7.99083i | 0.119392 | + | 0.304206i | ||||
\(691\) | 14.5350 | − | 4.48346i | 0.552938 | − | 0.170559i | −0.00567989 | − | 0.999984i | \(-0.501808\pi\) |
0.558618 | + | 0.829425i | \(0.311332\pi\) | |||||||
\(692\) | 9.21299 | + | 40.3647i | 0.350225 | + | 1.53444i | ||||
\(693\) | −0.570533 | − | 0.295318i | −0.0216727 | − | 0.0112182i | ||||
\(694\) | 12.9450 | − | 56.7158i | 0.491386 | − | 2.15290i | ||||
\(695\) | 0.381231 | + | 5.08718i | 0.0144609 | + | 0.192968i | ||||
\(696\) | 2.20149 | + | 0.679071i | 0.0834474 | + | 0.0257401i | ||||
\(697\) | −3.80293 | + | 50.7465i | −0.144046 | + | 1.92216i | ||||
\(698\) | −18.8520 | + | 48.0342i | −0.713560 | + | 1.81812i | ||||
\(699\) | 5.79571 | − | 2.79107i | 0.219214 | − | 0.105568i | ||||
\(700\) | 12.6398 | + | 23.4283i | 0.477741 | + | 0.885505i | ||||
\(701\) | −42.1553 | − | 20.3009i | −1.59218 | − | 0.766755i | −0.592924 | − | 0.805258i | \(-0.702027\pi\) |
−0.999258 | + | 0.0385032i | \(0.987741\pi\) | |||||||
\(702\) | 7.74256 | − | 7.18404i | 0.292224 | − | 0.271144i | ||||
\(703\) | −5.21110 | + | 0.785447i | −0.196540 | + | 0.0296237i | ||||
\(704\) | 19.0091 | − | 32.9248i | 0.716433 | − | 1.24090i | ||||
\(705\) | −6.04351 | − | 10.4677i | −0.227612 | − | 0.394235i | ||||
\(706\) | −16.8281 | − | 21.1018i | −0.633334 | − | 0.794176i | ||||
\(707\) | 10.1344 | + | 28.1863i | 0.381142 | + | 1.06006i | ||||
\(708\) | −2.73794 | + | 3.43327i | −0.102898 | + | 0.129030i | ||||
\(709\) | −6.70202 | − | 1.01017i | −0.251700 | − | 0.0379376i | 0.0219803 | − | 0.999758i | \(-0.493003\pi\) |
−0.273680 | + | 0.961821i | \(0.588241\pi\) | |||||||
\(710\) | −8.75781 | + | 5.97097i | −0.328675 | + | 0.224087i | ||||
\(711\) | −0.313833 | + | 0.213968i | −0.0117696 | + | 0.00802441i | ||||
\(712\) | 3.42610 | + | 0.516401i | 0.128399 | + | 0.0193530i | ||||
\(713\) | −3.61821 | + | 4.53709i | −0.135503 | + | 0.169915i | ||||
\(714\) | 5.33280 | − | 51.2693i | 0.199575 | − | 1.91871i | ||||
\(715\) | 1.68015 | + | 2.10684i | 0.0628341 | + | 0.0787914i | ||||
\(716\) | 24.8099 | + | 42.9721i | 0.927191 | + | 1.60594i | ||||
\(717\) | 6.53648 | − | 11.3215i | 0.244109 | − | 0.422810i | ||||
\(718\) | 40.4196 | − | 6.09228i | 1.50845 | − | 0.227362i | ||||
\(719\) | 6.57462 | − | 6.10036i | 0.245192 | − | 0.227505i | −0.547997 | − | 0.836480i | \(-0.684610\pi\) |
0.793189 | + | 0.608975i | \(0.208419\pi\) | |||||||
\(720\) | 0.133474 | + | 0.0642775i | 0.00497426 | + | 0.00239548i | ||||
\(721\) | 19.2197 | + | 3.46648i | 0.715779 | + | 0.129099i | ||||
\(722\) | −34.5119 | + | 16.6201i | −1.28440 | + | 0.618535i | ||||
\(723\) | −6.07033 | + | 15.4669i | −0.225758 | + | 0.575222i | ||||
\(724\) | 1.71065 | − | 22.8271i | 0.0635759 | − | 0.848362i | ||||
\(725\) | −12.6011 | − | 3.88694i | −0.467995 | − | 0.144357i | ||||
\(726\) | 1.21081 | + | 16.1571i | 0.0449373 | + | 0.599647i | ||||
\(727\) | −4.83178 | + | 21.1694i | −0.179201 | + | 0.785130i | 0.802799 | + | 0.596249i | \(0.203343\pi\) |
−0.982000 | + | 0.188881i | \(0.939514\pi\) | |||||||
\(728\) | 0.299934 | − | 1.15895i | 0.0111163 | − | 0.0429535i | ||||
\(729\) | −5.87955 | − | 25.7600i | −0.217761 | − | 0.954074i | ||||
\(730\) | 20.9357 | − | 6.45780i | 0.774864 | − | 0.239014i | ||||
\(731\) | −0.166818 | − | 0.425046i | −0.00616999 | − | 0.0157209i | ||||
\(732\) | −31.1852 | − | 28.9356i | −1.15264 | − | 1.06949i | ||||
\(733\) | −15.3810 | − | 10.4866i | −0.568110 | − | 0.387331i | 0.244928 | − | 0.969541i | \(-0.421236\pi\) |
−0.813038 | + | 0.582210i | \(0.802188\pi\) | |||||||
\(734\) | −25.8369 | −0.953659 | ||||||||
\(735\) | 1.39086 | + | 8.26536i | 0.0513025 | + | 0.304872i | ||||
\(736\) | 28.3292 | 1.04423 | ||||||||
\(737\) | −10.2364 | − | 6.97909i | −0.377064 | − | 0.257078i | ||||
\(738\) | −0.871841 | − | 0.808950i | −0.0320929 | − | 0.0297779i | ||||
\(739\) | −18.6817 | − | 47.6001i | −0.687216 | − | 1.75100i | −0.659880 | − | 0.751371i | \(-0.729393\pi\) |
−0.0273359 | − | 0.999626i | \(-0.508702\pi\) | |||||||
\(740\) | 12.8630 | − | 3.96770i | 0.472852 | − | 0.145855i | ||||
\(741\) | 0.231596 | + | 1.01469i | 0.00850789 | + | 0.0372755i | ||||
\(742\) | 45.1092 | − | 53.3342i | 1.65601 | − | 1.95796i | ||||
\(743\) | 2.49473 | − | 10.9301i | 0.0915226 | − | 0.400987i | −0.908328 | − | 0.418258i | \(-0.862641\pi\) |
0.999851 | + | 0.0172712i | \(0.00549788\pi\) | |||||||
\(744\) | −0.0983844 | − | 1.31285i | −0.00360695 | − | 0.0481314i | ||||
\(745\) | −7.14366 | − | 2.20353i | −0.261723 | − | 0.0807310i | ||||
\(746\) | −3.72415 | + | 49.6953i | −0.136351 | + | 1.81947i | ||||
\(747\) | −0.116246 | + | 0.296191i | −0.00425323 | + | 0.0108371i | ||||
\(748\) | −42.6953 | + | 20.5610i | −1.56110 | + | 0.751784i | ||||
\(749\) | −5.09085 | + | 11.9462i | −0.186015 | + | 0.436505i | ||||
\(750\) | 21.1241 | + | 10.1728i | 0.771342 | + | 0.371459i | ||||
\(751\) | −22.9813 | + | 21.3235i | −0.838598 | + | 0.778105i | −0.977217 | − | 0.212240i | \(-0.931924\pi\) |
0.138619 | + | 0.990346i | \(0.455734\pi\) | |||||||
\(752\) | −35.0463 | + | 5.28239i | −1.27801 | + | 0.192629i | ||||
\(753\) | −8.56704 | + | 14.8385i | −0.312200 | + | 0.540746i | ||||
\(754\) | 2.98897 | + | 5.17705i | 0.108852 | + | 0.188537i | ||||
\(755\) | 8.52706 | + | 10.6926i | 0.310332 | + | 0.389143i | ||||
\(756\) | −21.5378 | − | 21.1723i | −0.783323 | − | 0.770031i | ||||
\(757\) | −4.39005 | + | 5.50495i | −0.159559 | + | 0.200081i | −0.855184 | − | 0.518324i | \(-0.826556\pi\) |
0.695625 | + | 0.718405i | \(0.255127\pi\) | |||||||
\(758\) | −52.5704 | − | 7.92371i | −1.90944 | − | 0.287802i | ||||
\(759\) | −19.8682 | + | 13.5459i | −0.721171 | + | 0.491686i | ||||
\(760\) | −0.152170 | + | 0.103748i | −0.00551978 | + | 0.00376332i | ||||
\(761\) | 26.5552 | + | 4.00255i | 0.962625 | + | 0.145092i | 0.611507 | − | 0.791239i | \(-0.290564\pi\) |
0.351118 | + | 0.936331i | \(0.385802\pi\) | |||||||
\(762\) | 39.4288 | − | 49.4422i | 1.42836 | − | 1.79110i | ||||
\(763\) | −25.9070 | + | 42.0247i | −0.937895 | + | 1.52140i | ||||
\(764\) | −12.8964 | − | 16.1716i | −0.466576 | − | 0.585068i | ||||
\(765\) | −0.114347 | − | 0.198055i | −0.00413422 | − | 0.00716068i | ||||
\(766\) | 31.8992 | − | 55.2511i | 1.15257 | − | 1.99630i | ||||
\(767\) | −1.11773 | + | 0.168470i | −0.0403588 | + | 0.00608310i | ||||
\(768\) | 15.2862 | − | 14.1835i | 0.551593 | − | 0.511803i | ||||
\(769\) | −32.5900 | − | 15.6945i | −1.17523 | − | 0.565959i | −0.258709 | − | 0.965955i | \(-0.583297\pi\) |
−0.916517 | + | 0.399996i | \(0.869011\pi\) | |||||||
\(770\) | 11.0196 | − | 9.64845i | 0.397117 | − | 0.347706i | ||||
\(771\) | 10.4619 | − | 5.03818i | 0.376776 | − | 0.181446i | ||||
\(772\) | −9.31330 | + | 23.7299i | −0.335193 | + | 0.854058i | ||||
\(773\) | −1.08770 | + | 14.5144i | −0.0391219 | + | 0.522046i | 0.942875 | + | 0.333148i | \(0.108111\pi\) |
−0.981997 | + | 0.188898i | \(0.939508\pi\) | |||||||
\(774\) | 0.0101974 | + | 0.00314547i | 0.000366537 | + | 0.000113062i | ||||
\(775\) | 0.563144 | + | 7.51463i | 0.0202287 | + | 0.269933i | ||||
\(776\) | 0.607739 | − | 2.66268i | 0.0218166 | − | 0.0955846i | ||||
\(777\) | −40.9989 | − | 1.18286i | −1.47083 | − | 0.0424348i | ||||
\(778\) | 14.2177 | + | 62.2917i | 0.509729 | + | 2.23327i | ||||
\(779\) | −5.33667 | + | 1.64614i | −0.191206 | + | 0.0589792i | ||||
\(780\) | −0.971243 | − | 2.47469i | −0.0347761 | − | 0.0886080i | ||||
\(781\) | −21.7659 | − | 20.1958i | −0.778846 | − | 0.722664i | ||||
\(782\) | −32.1054 | − | 21.8891i | −1.14808 | − | 0.782751i | ||||
\(783\) | 14.9611 | 0.534665 | ||||||||
\(784\) | 24.0508 | + | 5.05802i | 0.858955 | + | 0.180644i | ||||
\(785\) | 14.6798 | 0.523946 | ||||||||
\(786\) | −28.9253 | − | 19.7209i | −1.03173 | − | 0.703422i | ||||
\(787\) | 6.47444 | + | 6.00740i | 0.230789 | + | 0.214141i | 0.787087 | − | 0.616842i | \(-0.211588\pi\) |
−0.556298 | + | 0.830983i | \(0.687779\pi\) | |||||||
\(788\) | −4.38579 | − | 11.1748i | −0.156237 | − | 0.398087i | ||||
\(789\) | 5.50626 | − | 1.69846i | 0.196028 | − | 0.0604666i | ||||
\(790\) | −1.92696 | − | 8.44257i | −0.0685582 | − | 0.300373i | ||||
\(791\) | 0.182857 | + | 0.243376i | 0.00650164 | + | 0.00865344i | ||||
\(792\) | 0.0244479 | − | 0.107113i | 0.000868719 | − | 0.00380611i | ||||
\(793\) | −0.818329 | − | 10.9198i | −0.0290597 | − | 0.387775i | ||||
\(794\) | −15.8552 | − | 4.89068i | −0.562680 | − | 0.173564i | ||||
\(795\) | 1.14997 | − | 15.3453i | 0.0407852 | − | 0.544241i | ||||
\(796\) | 0.410663 | − | 1.04635i | 0.0145556 | − | 0.0370870i | ||||
\(797\) | 28.6356 | − | 13.7902i | 1.01432 | − | 0.488473i | 0.148549 | − | 0.988905i | \(-0.452540\pi\) |
0.865776 | + | 0.500432i | \(0.166825\pi\) | |||||||
\(798\) | 5.45142 | − | 1.51082i | 0.192978 | − | 0.0534823i | ||||
\(799\) | 49.2946 | + | 23.7390i | 1.74392 | + | 0.839827i | ||||
\(800\) | 26.9668 | − | 25.0215i | 0.953419 | − | 0.884643i | ||||
\(801\) | −0.466891 | + | 0.0703725i | −0.0164968 | + | 0.00248649i | ||||
\(802\) | −4.97016 | + | 8.60857i | −0.175502 | + | 0.303979i | ||||
\(803\) | 30.6864 | + | 53.1504i | 1.08290 | + | 1.87564i | ||||
\(804\) | 7.62050 | + | 9.55581i | 0.268754 | + | 0.337007i | ||||
\(805\) | 5.98141 | + | 2.03571i | 0.210817 | + | 0.0717492i | ||||
\(806\) | 2.12990 | − | 2.67080i | 0.0750224 | − | 0.0940751i | ||||
\(807\) | 48.6530 | + | 7.33326i | 1.71267 | + | 0.258143i | ||||
\(808\) | −4.23241 | + | 2.88561i | −0.148896 | + | 0.101515i | ||||
\(809\) | −5.18328 | + | 3.53390i | −0.182234 | + | 0.124245i | −0.651001 | − | 0.759077i | \(-0.725651\pi\) |
0.468767 | + | 0.883322i | \(0.344698\pi\) | |||||||
\(810\) | −12.7626 | − | 1.92365i | −0.448431 | − | 0.0675901i | ||||
\(811\) | 12.3499 | − | 15.4863i | 0.433663 | − | 0.543797i | −0.516197 | − | 0.856470i | \(-0.672653\pi\) |
0.949861 | + | 0.312673i | \(0.101224\pi\) | |||||||
\(812\) | 14.3952 | − | 9.21787i | 0.505174 | − | 0.323484i | ||||
\(813\) | 4.56389 | + | 5.72293i | 0.160063 | + | 0.200712i | ||||
\(814\) | 35.8373 | + | 62.0720i | 1.25610 | + | 2.17562i | ||||
\(815\) | 7.11525 | − | 12.3240i | 0.249236 | − | 0.431690i | ||||
\(816\) | −32.9251 | + | 4.96265i | −1.15261 | + | 0.173728i | ||||
\(817\) | 0.0367336 | − | 0.0340838i | 0.00128515 | − | 0.00119244i | ||||
\(818\) | −8.51241 | − | 4.09936i | −0.297629 | − | 0.143331i | ||||
\(819\) | 0.00749471 | + | 0.162967i | 0.000261886 | + | 0.00569451i | ||||
\(820\) | 12.8524 | − | 6.18941i | 0.448827 | − | 0.216144i | ||||
\(821\) | 3.50107 | − | 8.92059i | 0.122188 | − | 0.311331i | −0.856672 | − | 0.515862i | \(-0.827472\pi\) |
0.978860 | + | 0.204531i | \(0.0655670\pi\) | |||||||
\(822\) | −4.28209 | + | 57.1406i | −0.149355 | + | 1.99301i | ||||
\(823\) | 15.8879 | + | 4.90076i | 0.553816 | + | 0.170830i | 0.559016 | − | 0.829157i | \(-0.311179\pi\) |
−0.00520005 | + | 0.999986i | \(0.501655\pi\) | |||||||
\(824\) | 0.249596 | + | 3.33062i | 0.00869507 | + | 0.116028i | ||||
\(825\) | −6.94838 | + | 30.4429i | −0.241912 | + | 1.05988i | ||||
\(826\) | 1.19380 | + | 6.02662i | 0.0415377 | + | 0.209693i | ||||
\(827\) | −9.77683 | − | 42.8351i | −0.339974 | − | 1.48952i | −0.799125 | − | 0.601165i | \(-0.794704\pi\) |
0.459151 | − | 0.888358i | \(-0.348154\pi\) | |||||||
\(828\) | 0.456541 | − | 0.140824i | 0.0158659 | − | 0.00489398i | ||||
\(829\) | −5.93062 | − | 15.1110i | −0.205979 | − | 0.524825i | 0.790132 | − | 0.612937i | \(-0.210012\pi\) |
−0.996111 | + | 0.0881115i | \(0.971917\pi\) | |||||||
\(830\) | −5.31772 | − | 4.93412i | −0.184581 | − | 0.171266i | ||||
\(831\) | −28.7431 | − | 19.5967i | −0.997086 | − | 0.679801i | ||||
\(832\) | −9.65432 | −0.334703 | ||||||||
\(833\) | −26.2778 | − | 27.3662i | −0.910473 | − | 0.948182i | ||||
\(834\) | 26.7974 | 0.927917 | ||||||||
\(835\) | 2.51668 | + | 1.71584i | 0.0870932 | + | 0.0593792i | ||||
\(836\) | −3.81232 | − | 3.53731i | −0.131852 | − | 0.122341i | ||||
\(837\) | −3.12348 | − | 7.95849i | −0.107963 | − | 0.275086i | ||||
\(838\) | 21.1224 | − | 6.51539i | 0.729660 | − | 0.225070i | ||||
\(839\) | −8.69788 | − | 38.1079i | −0.300284 | − | 1.31563i | −0.869700 | − | 0.493581i | \(-0.835688\pi\) |
0.569416 | − | 0.822050i | \(-0.307170\pi\) | |||||||
\(840\) | −1.30885 | + | 0.584428i | −0.0451597 | + | 0.0201647i | ||||
\(841\) | 4.56887 | − | 20.0175i | 0.157547 | − | 0.690260i | ||||
\(842\) | −3.49616 | − | 46.6530i | −0.120486 | − | 1.60777i | ||||
\(843\) | −9.38822 | − | 2.89588i | −0.323347 | − | 0.0997395i | ||||
\(844\) | −0.741192 | + | 9.89052i | −0.0255129 | + | 0.340446i | ||||
\(845\) | 0.250004 | − | 0.637000i | 0.00860040 | − | 0.0219135i | ||||
\(846\) | −1.15207 | + | 0.554809i | −0.0396091 | + | 0.0190747i | ||||
\(847\) | 9.65557 | + | 6.99931i | 0.331769 | + | 0.240499i | ||||
\(848\) | −40.6539 | − | 19.5779i | −1.39606 | − | 0.672308i | ||||
\(849\) | 32.1772 | − | 29.8561i | 1.10432 | − | 1.02466i | ||||
\(850\) | −49.8945 | + | 7.52039i | −1.71137 | + | 0.257947i | ||||
\(851\) | −15.4597 | + | 26.7770i | −0.529951 | + | 0.917903i | ||||
\(852\) | 14.6461 | + | 25.3679i | 0.501769 | + | 0.869089i | ||||
\(853\) | 27.1597 | + | 34.0572i | 0.929930 | + | 1.16610i | 0.985845 | + | 0.167659i | \(0.0536209\pi\) |
−0.0559152 | + | 0.998436i | \(0.517808\pi\) | |||||||
\(854\) | −59.0849 | + | 7.16978i | −2.02184 | + | 0.245345i | ||||
\(855\) | 0.0156483 | − | 0.0196224i | 0.000535161 | − | 0.000671071i | ||||
\(856\) | −2.19599 | − | 0.330993i | −0.0750576 | − | 0.0113131i | ||||
\(857\) | 33.9406 | − | 23.1403i | 1.15939 | − | 0.790458i | 0.178293 | − | 0.983977i | \(-0.442943\pi\) |
0.981096 | + | 0.193519i | \(0.0619902\pi\) | |||||||
\(858\) | 11.6956 | − | 7.97395i | 0.399282 | − | 0.272226i | ||||
\(859\) | 4.60915 | + | 0.694718i | 0.157262 | + | 0.0237035i | 0.227201 | − | 0.973848i | \(-0.427042\pi\) |
−0.0699392 | + | 0.997551i | \(0.522281\pi\) | |||||||
\(860\) | −0.0798045 | + | 0.100072i | −0.00272131 | + | 0.00341242i | ||||
\(861\) | −43.1497 | + | 5.23610i | −1.47054 | + | 0.178446i | ||||
\(862\) | −17.2238 | − | 21.5979i | −0.586644 | − | 0.735629i | ||||
\(863\) | −21.1660 | − | 36.6606i | −0.720499 | − | 1.24794i | −0.960800 | − | 0.277243i | \(-0.910579\pi\) |
0.240301 | − | 0.970698i | \(-0.422754\pi\) | |||||||
\(864\) | −20.8680 | + | 36.1444i | −0.709943 | + | 1.22966i | ||||
\(865\) | 12.6182 | − | 1.90189i | 0.429032 | − | 0.0646662i | ||||
\(866\) | 11.3545 | − | 10.5354i | 0.385841 | − | 0.358008i | ||||
\(867\) | 19.5108 | + | 9.39590i | 0.662621 | + | 0.319101i | ||||
\(868\) | −7.90876 | − | 5.73305i | −0.268441 | − | 0.194592i | ||||
\(869\) | 21.8557 | − | 10.5251i | 0.741403 | − | 0.357041i | ||||
\(870\) | 2.61503 | − | 6.66299i | 0.0886579 | − | 0.225897i | ||||
\(871\) | −0.235109 | + | 3.13731i | −0.00796635 | + | 0.106304i | ||||
\(872\) | −8.06783 | − | 2.48860i | −0.273211 | − | 0.0842745i | ||||
\(873\) | 0.0278136 | + | 0.371147i | 0.000941349 | + | 0.0125614i | ||||
\(874\) | 0.948914 | − | 4.15746i | 0.0320975 | − | 0.140628i | ||||
\(875\) | 15.7576 | − | 7.03609i | 0.532705 | − | 0.237863i | ||||
\(876\) | −13.4728 | − | 59.0281i | −0.455203 | − | 1.99437i | ||||
\(877\) | 7.16546 | − | 2.21025i | 0.241960 | − | 0.0746349i | −0.171403 | − | 0.985201i | \(-0.554830\pi\) |
0.413363 | + | 0.910566i | \(0.364354\pi\) | |||||||
\(878\) | 22.9660 | + | 58.5163i | 0.775064 | + | 1.97483i | ||||
\(879\) | −13.6858 | − | 12.6986i | −0.461611 | − | 0.428312i | ||||
\(880\) | −7.81723 | − | 5.32970i | −0.263519 | − | 0.179664i | ||||
\(881\) | −10.2574 | −0.345581 | −0.172791 | − | 0.984959i | \(-0.555278\pi\) | ||||
−0.172791 | + | 0.984959i | \(0.555278\pi\) | |||||||
\(882\) | 0.882955 | − | 0.0813850i | 0.0297306 | − | 0.00274038i | ||||
\(883\) | 29.7694 | 1.00182 | 0.500909 | − | 0.865500i | \(-0.332999\pi\) | ||||
0.500909 | + | 0.865500i | \(0.332999\pi\) | |||||||
\(884\) | 9.94273 | + | 6.77884i | 0.334410 | + | 0.227997i | ||||
\(885\) | 0.992145 | + | 0.920576i | 0.0333506 | + | 0.0309448i | ||||
\(886\) | 3.15191 | + | 8.03093i | 0.105890 | + | 0.269804i | ||||
\(887\) | 27.9221 | − | 8.61283i | 0.937533 | − | 0.289191i | 0.211915 | − | 0.977288i | \(-0.432030\pi\) |
0.725618 | + | 0.688097i | \(0.241554\pi\) | |||||||
\(888\) | −1.56087 | − | 6.83863i | −0.0523795 | − | 0.229490i | ||||
\(889\) | −9.04454 | − | 45.6592i | −0.303344 | − | 1.53136i | ||||
\(890\) | 2.39538 | − | 10.4948i | 0.0802933 | − | 0.351788i | ||||
\(891\) | −2.70187 | − | 36.0539i | −0.0905160 | − | 1.20785i | ||||
\(892\) | −25.3854 | − | 7.83037i | −0.849967 | − | 0.262180i | ||||
\(893\) | −0.448714 | + | 5.98767i | −0.0150156 | + | 0.200370i | ||||
\(894\) | −14.3468 | + | 36.5550i | −0.479828 | + | 1.22258i | ||||
\(895\) | 13.7788 | − | 6.63552i | 0.460574 | − | 0.221801i | ||||
\(896\) | 0.437308 | + | 9.50892i | 0.0146094 | + | 0.317671i | ||||
\(897\) | 5.50165 | + | 2.64946i | 0.183695 | + | 0.0884628i | ||||
\(898\) | −0.0884060 | + | 0.0820288i | −0.00295015 | + | 0.00273734i | ||||
\(899\) | 4.78480 | − | 0.721193i | 0.159582 | − | 0.0240531i | ||||
\(900\) | 0.310202 | − | 0.537286i | 0.0103401 | − | 0.0179095i | ||||
\(901\) | 34.8283 | + | 60.3243i | 1.16030 | + | 2.00969i | ||||
\(902\) | 47.3581 | + | 59.3851i | 1.57685 | + | 1.97731i | ||||
\(903\) | 0.328442 | − | 0.210315i | 0.0109299 | − | 0.00699886i | ||||
\(904\) | −0.0324593 | + | 0.0407026i | −0.00107958 | + | 0.00135375i | ||||
\(905\) | −6.97645 | − | 1.05153i | −0.231905 | − | 0.0349541i | ||||
\(906\) | 59.3574 | − | 40.4692i | 1.97202 | − | 1.34450i | ||||
\(907\) | 17.4443 | − | 11.8934i | 0.579230 | − | 0.394912i | −0.237965 | − | 0.971274i | \(-0.576480\pi\) |
0.817195 | + | 0.576361i | \(0.195528\pi\) | |||||||
\(908\) | −37.6229 | − | 5.67074i | −1.24856 | − | 0.188190i | ||||
\(909\) | 0.435238 | − | 0.545772i | 0.0144359 | − | 0.0181021i | ||||
\(910\) | −3.52101 | − | 1.19834i | −0.116720 | − | 0.0397245i | ||||
\(911\) | 34.0836 | + | 42.7395i | 1.12924 | + | 1.41602i | 0.896253 | + | 0.443543i | \(0.146279\pi\) |
0.232988 | + | 0.972480i | \(0.425150\pi\) | |||||||
\(912\) | −1.82708 | − | 3.16460i | −0.0605008 | − | 0.104790i | ||||
\(913\) | 10.1605 | − | 17.5984i | 0.336262 | − | 0.582423i | ||||
\(914\) | 65.4039 | − | 9.85806i | 2.16337 | − | 0.326076i | ||||
\(915\) | −9.61156 | + | 8.91823i | −0.317748 | + | 0.294828i | ||||
\(916\) | −31.3223 | − | 15.0840i | −1.03492 | − | 0.498390i | ||||
\(917\) | −24.8316 | + | 6.88187i | −0.820011 | + | 0.227259i | ||||
\(918\) | 51.5771 | − | 24.8382i | 1.70230 | − | 0.819784i | ||||
\(919\) | −11.3425 | + | 28.9002i | −0.374154 | + | 0.953329i | 0.612496 | + | 0.790474i | \(0.290166\pi\) |
−0.986650 | + | 0.162855i | \(0.947930\pi\) | |||||||
\(920\) | −0.0807498 | + | 1.07753i | −0.00266224 | + | 0.0355252i | ||||
\(921\) | 50.2360 | + | 15.4958i | 1.65533 | + | 0.510603i | ||||
\(922\) | 1.89015 | + | 25.2223i | 0.0622489 | + | 0.830654i | ||||
\(923\) | −1.67781 | + | 7.35097i | −0.0552258 | + | 0.241960i | ||||
\(924\) | −24.3134 | − | 32.3603i | −0.799853 | − | 1.06457i | ||||
\(925\) | 8.93430 | + | 39.1437i | 0.293758 | + | 1.28704i | ||||
\(926\) | −41.0206 | + | 12.6532i | −1.34802 | + | 0.415809i | ||||
\(927\) | −0.166286 | − | 0.423690i | −0.00546155 | − | 0.0139158i | ||||
\(928\) | −17.3160 | − | 16.0669i | −0.568425 | − | 0.527421i | ||||
\(929\) | −10.5276 | − | 7.17760i | −0.345400 | − | 0.235489i | 0.378177 | − | 0.925733i | \(-0.376551\pi\) |
−0.723577 | + | 0.690244i | \(0.757503\pi\) | |||||||
\(930\) | −4.09031 | −0.134126 | ||||||||
\(931\) | 1.74210 | − | 3.78173i | 0.0570950 | − | 0.123941i | ||||
\(932\) | 8.16246 | 0.267370 | ||||||||
\(933\) | 2.13431 | + | 1.45515i | 0.0698742 | + | 0.0476395i | ||||
\(934\) | −31.7768 | − | 29.4846i | −1.03977 | − | 0.964764i | ||||
\(935\) | 5.33599 | + | 13.5959i | 0.174505 | + | 0.444633i | ||||
\(936\) | −0.0266603 | + | 0.00822361i | −0.000871419 | + | 0.000268797i | ||||
\(937\) | 0.533319 | + | 2.33662i | 0.0174228 | + | 0.0763341i | 0.982892 | − | 0.184183i | \(-0.0589640\pi\) |
−0.965469 | + | 0.260517i | \(0.916107\pi\) | |||||||
\(938\) | 17.0927 | + | 0.493141i | 0.558096 | + | 0.0161016i | ||||
\(939\) | −1.56521 | + | 6.85764i | −0.0510788 | + | 0.223791i | ||||
\(940\) | −1.14614 | − | 15.2942i | −0.0373831 | − | 0.498842i | ||||
\(941\) | −53.1100 | − | 16.3823i | −1.73134 | − | 0.534047i | −0.740852 | − | 0.671668i | \(-0.765578\pi\) |
−0.990485 | + | 0.137622i | \(0.956054\pi\) | |||||||
\(942\) | 5.76257 | − | 76.8962i | 0.187755 | − | 2.50541i | ||||
\(943\) | −11.9709 | + | 30.5015i | −0.389827 | + | 0.993264i | ||||
\(944\) | 3.57562 | − | 1.72193i | 0.116377 | − | 0.0560440i | ||||
\(945\) | −7.00334 | + | 6.13194i | −0.227819 | + | 0.199472i | ||||
\(946\) | −0.614040 | − | 0.295706i | −0.0199642 | − | 0.00961423i | ||||
\(947\) | 10.3788 | − | 9.63008i | 0.337264 | − | 0.312935i | −0.493299 | − | 0.869860i | \(-0.664209\pi\) |
0.830563 | + | 0.556924i | \(0.188019\pi\) | |||||||
\(948\) | −23.6640 | + | 3.56677i | −0.768570 | + | 0.115843i | ||||
\(949\) | 7.79247 | − | 13.4970i | 0.252954 | − | 0.438130i | ||||
\(950\) | −2.76876 | − | 4.79563i | −0.0898303 | − | 0.155591i | ||||
\(951\) | −28.5234 | − | 35.7672i | −0.924935 | − | 1.15983i | ||||
\(952\) | 3.40491 | − | 5.52324i | 0.110354 | − | 0.179009i | ||||
\(953\) | −30.9497 | + | 38.8097i | −1.00256 | + | 1.25717i | −0.0363698 | + | 0.999338i | \(0.511579\pi\) |
−0.966190 | + | 0.257832i | \(0.916992\pi\) | |||||||
\(954\) | −1.60977 | − | 0.242634i | −0.0521182 | − | 0.00785556i | ||||
\(955\) | −5.26734 | + | 3.59121i | −0.170447 | + | 0.116209i | ||||
\(956\) | 13.7058 | − | 9.34444i | 0.443277 | − | 0.302221i | ||||
\(957\) | 19.8268 | + | 2.98841i | 0.640910 | + | 0.0966017i | ||||
\(958\) | −26.6790 | + | 33.4544i | −0.861959 | + | 1.08086i | ||||
\(959\) | 30.0768 | + | 29.5664i | 0.971230 | + | 0.954749i | ||||
\(960\) | 7.20739 | + | 9.03778i | 0.232618 | + | 0.291693i | ||||
\(961\) | 14.1174 | + | 24.4521i | 0.455401 | + | 0.788777i | ||||
\(962\) | 9.10050 | − | 15.7625i | 0.293412 | − | 0.508204i | ||||
\(963\) | 0.299259 | − | 0.0451060i | 0.00964348 | − | 0.00145352i | ||||
\(964\) | −15.4551 | + | 14.3403i | −0.497776 | + | 0.461869i | ||||
\(965\) | 7.07882 | + | 3.40898i | 0.227875 | + | 0.109739i | ||||
\(966\) | 13.0115 | − | 30.5328i | 0.418637 | − | 0.982376i | ||||
\(967\) | −6.52508 | + | 3.14231i | −0.209832 | + | 0.101050i | −0.535848 | − | 0.844314i | \(-0.680008\pi\) |
0.326016 | + | 0.945364i | \(0.394294\pi\) | |||||||
\(968\) | −0.745114 | + | 1.89852i | −0.0239489 | + | 0.0610208i | ||||
\(969\) | −0.421554 | + | 5.62525i | −0.0135423 | + | 0.180709i | ||||
\(970\) | −8.10840 | − | 2.50111i | −0.260345 | − | 0.0803059i | ||||
\(971\) | −0.000781586 | − | 0.0104295i | −2.50823e−5 | − | 0.000334700i | 0.997191 | − | 0.0748974i | \(-0.0238629\pi\) |
−0.997216 | + | 0.0745627i | \(0.976244\pi\) | |||||||
\(972\) | −0.316538 | + | 1.38684i | −0.0101529 | + | 0.0444830i | ||||
\(973\) | 12.7373 | − | 15.0597i | 0.408338 | − | 0.482793i | ||||
\(974\) | 13.5628 | + | 59.4226i | 0.434581 | + | 1.90402i | ||||
\(975\) | 7.57716 | − | 2.33724i | 0.242663 | − | 0.0748517i | ||||
\(976\) | 14.0462 | + | 35.7892i | 0.449608 | + | 1.14558i | ||||
\(977\) | −43.8820 | − | 40.7166i | −1.40391 | − | 1.30264i | −0.897960 | − | 0.440077i | \(-0.854951\pi\) |
−0.505951 | − | 0.862562i | \(-0.668858\pi\) | |||||||
\(978\) | −61.7625 | − | 42.1090i | −1.97495 | − | 1.34650i | ||||
\(979\) | 30.1548 | 0.963750 | ||||||||
\(980\) | −2.96043 | + | 10.2149i | −0.0945674 | + | 0.326305i | ||||
\(981\) | 1.15056 | 0.0367345 | ||||||||
\(982\) | −30.7444 | − | 20.9612i | −0.981094 | − | 0.668899i | ||||
\(983\) | 9.43254 | + | 8.75212i | 0.300851 | + | 0.279149i | 0.816124 | − | 0.577877i | \(-0.196119\pi\) |
−0.515272 | + | 0.857026i | \(0.672309\pi\) | |||||||
\(984\) | −2.71578 | − | 6.91969i | −0.0865759 | − | 0.220592i | ||||
\(985\) | −3.53557 | + | 1.09058i | −0.112653 | + | 0.0347487i | ||||
\(986\) | 7.20975 | + | 31.5880i | 0.229605 | + | 1.00597i | ||||
\(987\) | −11.7086 | + | 45.2421i | −0.372688 | + | 1.44007i | ||||
\(988\) | −0.293870 | + | 1.28753i | −0.00934925 | + | 0.0409617i | ||||
\(989\) | −0.0219709 | − | 0.293181i | −0.000698633 | − | 0.00932262i | ||||
\(990\) | −0.326182 | − | 0.100614i | −0.0103668 | − | 0.00319772i | ||||
\(991\) | −1.75850 | + | 23.4656i | −0.0558606 | + | 0.745408i | 0.897006 | + | 0.442019i | \(0.145737\pi\) |
−0.952867 | + | 0.303390i | \(0.901882\pi\) | |||||||
\(992\) | −4.93160 | + | 12.5655i | −0.156579 | + | 0.398956i | ||||
\(993\) | −20.3635 | + | 9.80653i | −0.646215 | + | 0.311201i | ||||
\(994\) | 40.3310 | + | 7.27414i | 1.27922 | + | 0.230722i | ||||
\(995\) | −0.312135 | − | 0.150316i | −0.00989535 | − | 0.00476535i | ||||
\(996\) | −14.6956 | + | 13.6356i | −0.465649 | + | 0.432060i | ||||
\(997\) | 14.5480 | − | 2.19276i | 0.460740 | − | 0.0694454i | 0.0854290 | − | 0.996344i | \(-0.472774\pi\) |
0.375311 | + | 0.926899i | \(0.377536\pi\) | |||||||
\(998\) | 13.3038 | − | 23.0429i | 0.421125 | − | 0.729409i | ||||
\(999\) | −22.7759 | − | 39.4491i | −0.720599 | − | 1.24811i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 637.2.bl.b.53.5 | ✓ | 348 | |
49.37 | even | 21 | inner | 637.2.bl.b.625.5 | yes | 348 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
637.2.bl.b.53.5 | ✓ | 348 | 1.1 | even | 1 | trivial | |
637.2.bl.b.625.5 | yes | 348 | 49.37 | even | 21 | inner |