Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [91,2,Mod(22,91)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(91, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("91.22");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 91 = 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 91.f (of order \(3\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.726638658394\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{8} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{8} - x^{7} + 7x^{6} + 38x^{4} - 16x^{3} + 15x^{2} + 3x + 1 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 22.4 | ||
Root | \(1.37054 - 2.37385i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 91.22 |
Dual form | 91.2.f.c.29.4 |
$q$-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 \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).
\(n\) | \(15\) | \(66\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.37054 | − | 2.37385i | 0.969119 | − | 1.67856i | 0.271003 | − | 0.962579i | \(-0.412645\pi\) |
0.698116 | − | 0.715984i | \(-0.254022\pi\) | |||||||
\(3\) | −0.682410 | + | 1.18197i | −0.393989 | + | 0.682410i | −0.992972 | − | 0.118353i | \(-0.962239\pi\) |
0.598982 | + | 0.800762i | \(0.295572\pi\) | |||||||
\(4\) | −2.75677 | − | 4.77486i | −1.37838 | − | 2.38743i | ||||
\(5\) | 0.741082 | 0.331422 | 0.165711 | − | 0.986174i | \(-0.447008\pi\) | ||||
0.165711 | + | 0.986174i | \(0.447008\pi\) | |||||||
\(6\) | 1.87054 | + | 3.23987i | 0.763645 | + | 1.32267i | ||||
\(7\) | 0.500000 | + | 0.866025i | 0.188982 | + | 0.327327i | ||||
\(8\) | −9.63087 | −3.40503 | ||||||||
\(9\) | 0.568634 | + | 0.984903i | 0.189545 | + | 0.328301i | ||||
\(10\) | 1.01568 | − | 1.75921i | 0.321187 | − | 0.556313i | ||||
\(11\) | 0.682410 | − | 1.18197i | 0.205754 | − | 0.356377i | −0.744619 | − | 0.667490i | \(-0.767369\pi\) |
0.950373 | + | 0.311113i | \(0.100702\pi\) | |||||||
\(12\) | 7.52497 | 2.17227 | ||||||||
\(13\) | 0.301907 | + | 3.59289i | 0.0837339 | + | 0.996488i | ||||
\(14\) | 2.74108 | 0.732585 | ||||||||
\(15\) | −0.505722 | + | 0.875935i | −0.130577 | + | 0.226166i | ||||
\(16\) | −7.68598 | + | 13.3125i | −1.92149 | + | 3.32813i | ||||
\(17\) | 2.07436 | + | 3.59289i | 0.503105 | + | 0.871404i | 0.999994 | + | 0.00358919i | \(0.00114248\pi\) |
−0.496888 | + | 0.867814i | \(0.665524\pi\) | |||||||
\(18\) | 3.11734 | 0.734765 | ||||||||
\(19\) | −3.63303 | − | 6.29259i | −0.833474 | − | 1.44362i | −0.895267 | − | 0.445530i | \(-0.853015\pi\) |
0.0617933 | − | 0.998089i | \(-0.480318\pi\) | |||||||
\(20\) | −2.04299 | − | 3.53856i | −0.456826 | − | 0.791246i | ||||
\(21\) | −1.36482 | −0.297828 | ||||||||
\(22\) | −1.87054 | − | 3.23987i | −0.398801 | − | 0.690743i | ||||
\(23\) | 1.16673 | − | 2.02083i | 0.243279 | − | 0.421372i | −0.718367 | − | 0.695664i | \(-0.755110\pi\) |
0.961646 | + | 0.274292i | \(0.0884435\pi\) | |||||||
\(24\) | 6.57220 | − | 11.3834i | 1.34155 | − | 2.32362i | ||||
\(25\) | −4.45080 | −0.890159 | ||||||||
\(26\) | 8.94274 | + | 4.20752i | 1.75382 | + | 0.825163i | ||||
\(27\) | −5.64662 | −1.08669 | ||||||||
\(28\) | 2.75677 | − | 4.77486i | 0.520980 | − | 0.902363i | ||||
\(29\) | 0.203815 | − | 0.353017i | 0.0378474 | − | 0.0655536i | −0.846481 | − | 0.532419i | \(-0.821283\pi\) |
0.884329 | + | 0.466865i | \(0.154617\pi\) | |||||||
\(30\) | 1.38622 | + | 2.40101i | 0.253089 | + | 0.438363i | ||||
\(31\) | −2.77245 | −0.497946 | −0.248973 | − | 0.968510i | \(-0.580093\pi\) | ||||
−0.248973 | + | 0.968510i | \(0.580093\pi\) | |||||||
\(32\) | 11.4370 | + | 19.8095i | 2.02180 | + | 3.50186i | ||||
\(33\) | 0.931366 | + | 1.61317i | 0.162130 | + | 0.280817i | ||||
\(34\) | 11.3720 | 1.95027 | ||||||||
\(35\) | 0.370541 | + | 0.641796i | 0.0626329 | + | 0.108483i | ||||
\(36\) | 3.13518 | − | 5.43029i | 0.522530 | − | 0.905049i | ||||
\(37\) | 3.05295 | − | 5.28787i | 0.501902 | − | 0.869320i | −0.498096 | − | 0.867122i | \(-0.665967\pi\) |
0.999998 | − | 0.00219764i | \(-0.000699531\pi\) | |||||||
\(38\) | −19.9169 | −3.23094 | ||||||||
\(39\) | −4.45271 | − | 2.09498i | −0.713003 | − | 0.335465i | ||||
\(40\) | −7.13727 | −1.12850 | ||||||||
\(41\) | −0.627306 | + | 1.08653i | −0.0979688 | + | 0.169687i | −0.910844 | − | 0.412751i | \(-0.864568\pi\) |
0.812875 | + | 0.582438i | \(0.197901\pi\) | |||||||
\(42\) | −1.87054 | + | 3.23987i | −0.288631 | + | 0.499923i | ||||
\(43\) | 0.870541 | + | 1.50782i | 0.132756 | + | 0.229941i | 0.924738 | − | 0.380604i | \(-0.124284\pi\) |
−0.791982 | + | 0.610545i | \(0.790951\pi\) | |||||||
\(44\) | −7.52497 | −1.13443 | ||||||||
\(45\) | 0.421404 | + | 0.729894i | 0.0628193 | + | 0.108806i | ||||
\(46\) | −3.19809 | − | 5.53926i | −0.471533 | − | 0.816719i | ||||
\(47\) | −5.85843 | −0.854539 | −0.427270 | − | 0.904124i | \(-0.640525\pi\) | ||||
−0.427270 | + | 0.904124i | \(0.640525\pi\) | |||||||
\(48\) | −10.4900 | − | 18.1692i | −1.51410 | − | 2.62249i | ||||
\(49\) | −0.500000 | + | 0.866025i | −0.0714286 | + | 0.123718i | ||||
\(50\) | −6.10000 | + | 10.5655i | −0.862670 | + | 1.49419i | ||||
\(51\) | −5.66224 | −0.792872 | ||||||||
\(52\) | 16.3232 | − | 11.3463i | 2.26363 | − | 1.57345i | ||||
\(53\) | 4.56778 | 0.627433 | 0.313717 | − | 0.949517i | \(-0.398426\pi\) | ||||
0.313717 | + | 0.949517i | \(0.398426\pi\) | |||||||
\(54\) | −7.73893 | + | 13.4042i | −1.05313 | + | 1.82408i | ||||
\(55\) | 0.505722 | − | 0.875935i | 0.0681915 | − | 0.118111i | ||||
\(56\) | −4.81544 | − | 8.34058i | −0.643490 | − | 1.11456i | ||||
\(57\) | 9.91685 | 1.31352 | ||||||||
\(58\) | −0.558672 | − | 0.967649i | −0.0733573 | − | 0.127059i | ||||
\(59\) | 5.49213 | + | 9.51264i | 0.715014 | + | 1.23844i | 0.962954 | + | 0.269665i | \(0.0869130\pi\) |
−0.247940 | + | 0.968775i | \(0.579754\pi\) | |||||||
\(60\) | 5.57662 | 0.719939 | ||||||||
\(61\) | −3.26249 | − | 5.65079i | −0.417719 | − | 0.723510i | 0.577991 | − | 0.816043i | \(-0.303837\pi\) |
−0.995710 | + | 0.0925333i | \(0.970504\pi\) | |||||||
\(62\) | −3.79975 | + | 6.58137i | −0.482569 | + | 0.835834i | ||||
\(63\) | −0.568634 | + | 0.984903i | −0.0716411 | + | 0.124086i | ||||
\(64\) | 31.9557 | 3.99446 | ||||||||
\(65\) | 0.223738 | + | 2.66263i | 0.0277513 | + | 0.330258i | ||||
\(66\) | 5.10590 | 0.628493 | ||||||||
\(67\) | 6.87983 | − | 11.9162i | 0.840505 | − | 1.45580i | −0.0489630 | − | 0.998801i | \(-0.515592\pi\) |
0.889468 | − | 0.456997i | \(-0.151075\pi\) | |||||||
\(68\) | 11.4370 | − | 19.8095i | 1.38694 | − | 2.40226i | ||||
\(69\) | 1.59237 | + | 2.75807i | 0.191699 | + | 0.332032i | ||||
\(70\) | 2.03137 | 0.242795 | ||||||||
\(71\) | 2.40763 | + | 4.17014i | 0.285733 | + | 0.494904i | 0.972787 | − | 0.231703i | \(-0.0744296\pi\) |
−0.687054 | + | 0.726607i | \(0.741096\pi\) | |||||||
\(72\) | −5.47644 | − | 9.48548i | −0.645405 | − | 1.11787i | ||||
\(73\) | 6.06987 | 0.710425 | 0.355212 | − | 0.934786i | \(-0.384409\pi\) | ||||
0.355212 | + | 0.934786i | \(0.384409\pi\) | |||||||
\(74\) | −8.36839 | − | 14.4945i | −0.972805 | − | 1.68495i | ||||
\(75\) | 3.03727 | − | 5.26070i | 0.350713 | − | 0.607453i | ||||
\(76\) | −20.0308 | + | 34.6944i | −2.29769 | + | 3.97972i | ||||
\(77\) | 1.36482 | 0.155536 | ||||||||
\(78\) | −11.0758 | + | 7.69879i | −1.25408 | + | 0.871716i | ||||
\(79\) | −9.12582 | −1.02674 | −0.513368 | − | 0.858169i | \(-0.671602\pi\) | ||||
−0.513368 | + | 0.858169i | \(0.671602\pi\) | |||||||
\(80\) | −5.69594 | + | 9.86566i | −0.636825 | + | 1.10301i | ||||
\(81\) | 2.14741 | − | 3.71942i | 0.238601 | − | 0.413269i | ||||
\(82\) | 1.71950 | + | 2.97826i | 0.189887 | + | 0.328894i | ||||
\(83\) | 11.7368 | 1.28828 | 0.644139 | − | 0.764908i | \(-0.277216\pi\) | ||||
0.644139 | + | 0.764908i | \(0.277216\pi\) | |||||||
\(84\) | 3.76249 | + | 6.51682i | 0.410521 | + | 0.711043i | ||||
\(85\) | 1.53727 | + | 2.66263i | 0.166740 | + | 0.288802i | ||||
\(86\) | 4.77245 | 0.514626 | ||||||||
\(87\) | 0.278170 | + | 0.481805i | 0.0298230 | + | 0.0516549i | ||||
\(88\) | −6.57220 | + | 11.3834i | −0.700599 | + | 1.21347i | ||||
\(89\) | 0.880503 | − | 1.52508i | 0.0933331 | − | 0.161658i | −0.815579 | − | 0.578646i | \(-0.803581\pi\) |
0.908912 | + | 0.416989i | \(0.136915\pi\) | |||||||
\(90\) | 2.31021 | 0.243517 | ||||||||
\(91\) | −2.96058 | + | 2.05790i | −0.310353 | + | 0.215727i | ||||
\(92\) | −12.8656 | −1.34133 | ||||||||
\(93\) | 1.89195 | − | 3.27695i | 0.196186 | − | 0.339803i | ||||
\(94\) | −8.02921 | + | 13.9070i | −0.828150 | + | 1.43440i | ||||
\(95\) | −2.69237 | − | 4.66332i | −0.276231 | − | 0.478447i | ||||
\(96\) | −31.2189 | −3.18627 | ||||||||
\(97\) | −4.76691 | − | 8.25652i | −0.484006 | − | 0.838323i | 0.515825 | − | 0.856694i | \(-0.327485\pi\) |
−0.999831 | + | 0.0183708i | \(0.994152\pi\) | |||||||
\(98\) | 1.37054 | + | 2.37385i | 0.138446 | + | 0.239795i | ||||
\(99\) | 1.55217 | 0.155998 | ||||||||
\(100\) | 12.2698 | + | 21.2519i | 1.22698 | + | 2.12519i | ||||
\(101\) | 3.74680 | − | 6.48965i | 0.372821 | − | 0.645745i | −0.617177 | − | 0.786824i | \(-0.711724\pi\) |
0.989998 | + | 0.141079i | \(0.0450573\pi\) | |||||||
\(102\) | −7.76033 | + | 13.4413i | −0.768388 | + | 1.33089i | ||||
\(103\) | 2.80848 | 0.276728 | 0.138364 | − | 0.990381i | \(-0.455816\pi\) | ||||
0.138364 | + | 0.990381i | \(0.455816\pi\) | |||||||
\(104\) | −2.90763 | − | 34.6027i | −0.285116 | − | 3.39307i | ||||
\(105\) | −1.01144 | −0.0987067 | ||||||||
\(106\) | 6.26033 | − | 10.8432i | 0.608057 | − | 1.05319i | ||||
\(107\) | −0.743235 | + | 1.28732i | −0.0718512 | + | 0.124450i | −0.899713 | − | 0.436483i | \(-0.856224\pi\) |
0.827861 | + | 0.560933i | \(0.189557\pi\) | |||||||
\(108\) | 15.5664 | + | 26.9618i | 1.49788 | + | 2.59440i | ||||
\(109\) | 2.87121 | 0.275012 | 0.137506 | − | 0.990501i | \(-0.456091\pi\) | ||||
0.137506 | + | 0.990501i | \(0.456091\pi\) | |||||||
\(110\) | −1.38622 | − | 2.40101i | −0.132171 | − | 0.228927i | ||||
\(111\) | 4.16673 | + | 7.21698i | 0.395488 | + | 0.685006i | ||||
\(112\) | −15.3720 | −1.45251 | ||||||||
\(113\) | 6.20972 | + | 10.7555i | 0.584161 | + | 1.01180i | 0.994979 | + | 0.100079i | \(0.0319096\pi\) |
−0.410819 | + | 0.911717i | \(0.634757\pi\) | |||||||
\(114\) | 13.5915 | − | 23.5411i | 1.27296 | − | 2.20483i | ||||
\(115\) | 0.864640 | − | 1.49760i | 0.0806281 | − | 0.139652i | ||||
\(116\) | −2.24747 | −0.208673 | ||||||||
\(117\) | −3.36697 | + | 2.34039i | −0.311277 | + | 0.216369i | ||||
\(118\) | 30.1087 | 2.77173 | ||||||||
\(119\) | −2.07436 | + | 3.59289i | −0.190156 | + | 0.329360i | ||||
\(120\) | 4.87054 | − | 8.43602i | 0.444618 | − | 0.770100i | ||||
\(121\) | 4.56863 | + | 7.91311i | 0.415330 | + | 0.719373i | ||||
\(122\) | −17.8855 | −1.61928 | ||||||||
\(123\) | −0.856160 | − | 1.48291i | −0.0771973 | − | 0.133710i | ||||
\(124\) | 7.64299 | + | 13.2380i | 0.686361 | + | 1.18881i | ||||
\(125\) | −7.00382 | −0.626440 | ||||||||
\(126\) | 1.55867 | + | 2.69970i | 0.138858 | + | 0.240508i | ||||
\(127\) | −2.71526 | + | 4.70296i | −0.240940 | + | 0.417321i | −0.960982 | − | 0.276610i | \(-0.910789\pi\) |
0.720042 | + | 0.693930i | \(0.244122\pi\) | |||||||
\(128\) | 20.9226 | − | 36.2390i | 1.84931 | − | 3.20310i | ||||
\(129\) | −2.37626 | −0.209218 | ||||||||
\(130\) | 6.62731 | + | 3.11812i | 0.581253 | + | 0.273477i | ||||
\(131\) | −11.3220 | −0.989209 | −0.494604 | − | 0.869118i | \(-0.664687\pi\) | ||||
−0.494604 | + | 0.869118i | \(0.664687\pi\) | |||||||
\(132\) | 5.13512 | − | 8.89428i | 0.446954 | − | 0.774148i | ||||
\(133\) | 3.63303 | − | 6.29259i | 0.315023 | − | 0.545637i | ||||
\(134\) | −18.8582 | − | 32.6633i | −1.62910 | − | 2.82168i | ||||
\(135\) | −4.18461 | −0.360154 | ||||||||
\(136\) | −19.9779 | − | 34.6027i | −1.71309 | − | 2.96715i | ||||
\(137\) | 6.98771 | + | 12.1031i | 0.597000 | + | 1.03403i | 0.993261 | + | 0.115897i | \(0.0369741\pi\) |
−0.396261 | + | 0.918138i | \(0.629693\pi\) | |||||||
\(138\) | 8.72964 | 0.743116 | ||||||||
\(139\) | −5.21544 | − | 9.03340i | −0.442368 | − | 0.766203i | 0.555497 | − | 0.831518i | \(-0.312528\pi\) |
−0.997865 | + | 0.0653153i | \(0.979195\pi\) | |||||||
\(140\) | 2.04299 | − | 3.53856i | 0.172664 | − | 0.299063i | ||||
\(141\) | 3.99785 | − | 6.92447i | 0.336679 | − | 0.583146i | ||||
\(142\) | 13.1990 | 1.10764 | ||||||||
\(143\) | 4.45271 | + | 2.09498i | 0.372354 | + | 0.175191i | ||||
\(144\) | −17.4820 | −1.45684 | ||||||||
\(145\) | 0.151043 | − | 0.261615i | 0.0125435 | − | 0.0217259i | ||||
\(146\) | 8.31901 | − | 14.4089i | 0.688486 | − | 1.19249i | ||||
\(147\) | −0.682410 | − | 1.18197i | −0.0562842 | − | 0.0974871i | ||||
\(148\) | −33.6651 | −2.76725 | ||||||||
\(149\) | −4.08216 | − | 7.07052i | −0.334424 | − | 0.579239i | 0.648950 | − | 0.760831i | \(-0.275208\pi\) |
−0.983374 | + | 0.181592i | \(0.941875\pi\) | |||||||
\(150\) | −8.32540 | − | 14.4200i | −0.679766 | − | 1.17739i | ||||
\(151\) | −2.46188 | −0.200345 | −0.100173 | − | 0.994970i | \(-0.531939\pi\) | ||||
−0.100173 | + | 0.994970i | \(0.531939\pi\) | |||||||
\(152\) | 34.9892 | + | 60.6031i | 2.83800 | + | 4.91556i | ||||
\(153\) | −2.35910 | + | 4.08608i | −0.190722 | + | 0.330340i | ||||
\(154\) | 1.87054 | − | 3.23987i | 0.150732 | − | 0.261076i | ||||
\(155\) | −2.05461 | −0.165030 | ||||||||
\(156\) | 2.27184 | + | 27.0364i | 0.181893 | + | 2.16464i | ||||
\(157\) | −12.9198 | −1.03111 | −0.515557 | − | 0.856855i | \(-0.672415\pi\) | ||||
−0.515557 | + | 0.856855i | \(0.672415\pi\) | |||||||
\(158\) | −12.5073 | + | 21.6633i | −0.995029 | + | 1.72344i | ||||
\(159\) | −3.11710 | + | 5.39897i | −0.247202 | + | 0.428167i | ||||
\(160\) | 8.47577 | + | 14.6805i | 0.670069 | + | 1.16059i | ||||
\(161\) | 2.33345 | 0.183902 | ||||||||
\(162\) | −5.88622 | − | 10.1952i | −0.462465 | − | 0.801014i | ||||
\(163\) | 3.01371 | + | 5.21990i | 0.236052 | + | 0.408854i | 0.959578 | − | 0.281443i | \(-0.0908131\pi\) |
−0.723526 | + | 0.690297i | \(0.757480\pi\) | |||||||
\(164\) | 6.91734 | 0.540154 | ||||||||
\(165\) | 0.690219 | + | 1.19549i | 0.0537334 | + | 0.0930691i | ||||
\(166\) | 16.0857 | − | 27.8613i | 1.24850 | − | 2.16246i | ||||
\(167\) | −3.82558 | + | 6.62610i | −0.296032 | + | 0.512743i | −0.975224 | − | 0.221218i | \(-0.928997\pi\) |
0.679192 | + | 0.733960i | \(0.262330\pi\) | |||||||
\(168\) | 13.1444 | 1.01411 | ||||||||
\(169\) | −12.8177 | + | 2.16944i | −0.985977 | + | 0.166880i | ||||
\(170\) | 8.42755 | 0.646364 | ||||||||
\(171\) | 4.13173 | − | 7.15636i | 0.315961 | − | 0.547260i | ||||
\(172\) | 4.79975 | − | 8.31342i | 0.365978 | − | 0.633892i | ||||
\(173\) | 0.0822298 | + | 0.142426i | 0.00625182 | + | 0.0108285i | 0.869134 | − | 0.494576i | \(-0.164677\pi\) |
−0.862883 | + | 0.505404i | \(0.831343\pi\) | |||||||
\(174\) | 1.52497 | 0.115608 | ||||||||
\(175\) | −2.22540 | − | 3.85450i | −0.168224 | − | 0.291373i | ||||
\(176\) | 10.4900 | + | 18.1692i | 0.790711 | + | 1.36955i | ||||
\(177\) | −14.9915 | −1.12683 | ||||||||
\(178\) | −2.41353 | − | 4.18036i | −0.180902 | − | 0.313331i | ||||
\(179\) | −0.384316 | + | 0.665655i | −0.0287252 | + | 0.0497534i | −0.880031 | − | 0.474917i | \(-0.842478\pi\) |
0.851305 | + | 0.524670i | \(0.175811\pi\) | |||||||
\(180\) | 2.32343 | − | 4.02429i | 0.173178 | − | 0.299953i | ||||
\(181\) | −9.92152 | −0.737461 | −0.368730 | − | 0.929536i | \(-0.620207\pi\) | ||||
−0.368730 | + | 0.929536i | \(0.620207\pi\) | |||||||
\(182\) | 0.827552 | + | 9.84840i | 0.0613422 | + | 0.730012i | ||||
\(183\) | 8.90541 | 0.658307 | ||||||||
\(184\) | −11.2366 | + | 19.4624i | −0.828373 | + | 1.43478i | ||||
\(185\) | 2.26249 | − | 3.91874i | 0.166341 | − | 0.288112i | ||||
\(186\) | −5.18598 | − | 8.98238i | −0.380254 | − | 0.658620i | ||||
\(187\) | 5.66224 | 0.414064 | ||||||||
\(188\) | 16.1503 | + | 27.9732i | 1.17788 | + | 2.04015i | ||||
\(189\) | −2.82331 | − | 4.89012i | −0.205366 | − | 0.355704i | ||||
\(190\) | −14.7600 | −1.07080 | ||||||||
\(191\) | −4.94847 | − | 8.57099i | −0.358058 | − | 0.620175i | 0.629578 | − | 0.776937i | \(-0.283228\pi\) |
−0.987636 | + | 0.156762i | \(0.949894\pi\) | |||||||
\(192\) | −21.8069 | + | 37.7706i | −1.57378 | + | 2.72586i | ||||
\(193\) | −4.35037 | + | 7.53507i | −0.313147 | + | 0.542386i | −0.979042 | − | 0.203659i | \(-0.934716\pi\) |
0.665895 | + | 0.746045i | \(0.268050\pi\) | |||||||
\(194\) | −26.1330 | −1.87624 | ||||||||
\(195\) | −3.29982 | − | 1.55255i | −0.236305 | − | 0.111180i | ||||
\(196\) | 5.51353 | 0.393824 | ||||||||
\(197\) | 13.0093 | − | 22.5328i | 0.926874 | − | 1.60539i | 0.138354 | − | 0.990383i | \(-0.455819\pi\) |
0.788520 | − | 0.615009i | \(-0.210848\pi\) | |||||||
\(198\) | 2.12731 | − | 3.68460i | 0.151181 | − | 0.261853i | ||||
\(199\) | −5.06648 | − | 8.77540i | −0.359153 | − | 0.622072i | 0.628666 | − | 0.777675i | \(-0.283601\pi\) |
−0.987820 | + | 0.155603i | \(0.950268\pi\) | |||||||
\(200\) | 42.8651 | 3.03102 | ||||||||
\(201\) | 9.38973 | + | 16.2635i | 0.662300 | + | 1.14714i | ||||
\(202\) | −10.2703 | − | 17.7887i | −0.722615 | − | 1.25161i | ||||
\(203\) | 0.407629 | 0.0286099 | ||||||||
\(204\) | 15.6095 | + | 27.0364i | 1.09288 | + | 1.89293i | ||||
\(205\) | −0.464885 | + | 0.805205i | −0.0324690 | + | 0.0562380i | ||||
\(206\) | 3.84914 | − | 6.66690i | 0.268182 | − | 0.464505i | ||||
\(207\) | 2.65376 | 0.184449 | ||||||||
\(208\) | −50.1508 | − | 23.5957i | −3.47733 | − | 1.63607i | ||||
\(209\) | −9.91685 | −0.685963 | ||||||||
\(210\) | −1.38622 | + | 2.40101i | −0.0956586 | + | 0.165685i | ||||
\(211\) | −8.33911 | + | 14.4438i | −0.574088 | + | 0.994349i | 0.422052 | + | 0.906572i | \(0.361310\pi\) |
−0.996140 | + | 0.0877779i | \(0.972023\pi\) | |||||||
\(212\) | −12.5923 | − | 21.8105i | −0.864843 | − | 1.49795i | ||||
\(213\) | −6.57196 | −0.450303 | ||||||||
\(214\) | 2.03727 | + | 3.52865i | 0.139265 | + | 0.241214i | ||||
\(215\) | 0.645142 | + | 1.11742i | 0.0439983 | + | 0.0762074i | ||||
\(216\) | 54.3819 | 3.70022 | ||||||||
\(217\) | −1.38622 | − | 2.40101i | −0.0941030 | − | 0.162991i | ||||
\(218\) | 3.93511 | − | 6.81582i | 0.266520 | − | 0.461625i | ||||
\(219\) | −4.14214 | + | 7.17439i | −0.279900 | + | 0.484801i | ||||
\(220\) | −5.57662 | −0.375976 | ||||||||
\(221\) | −12.2826 | + | 8.53765i | −0.826216 | + | 0.574304i | ||||
\(222\) | 22.8427 | 1.53310 | ||||||||
\(223\) | −0.535180 | + | 0.926959i | −0.0358383 | + | 0.0620738i | −0.883388 | − | 0.468642i | \(-0.844743\pi\) |
0.847550 | + | 0.530716i | \(0.178077\pi\) | |||||||
\(224\) | −11.4370 | + | 19.8095i | −0.764168 | + | 1.32358i | ||||
\(225\) | −2.53087 | − | 4.38360i | −0.168725 | − | 0.292240i | ||||
\(226\) | 34.0427 | 2.26449 | ||||||||
\(227\) | 12.2332 | + | 21.1885i | 0.811947 | + | 1.40633i | 0.911500 | + | 0.411300i | \(0.134925\pi\) |
−0.0995534 | + | 0.995032i | \(0.531741\pi\) | |||||||
\(228\) | −27.3384 | − | 47.3516i | −1.81053 | − | 3.13593i | ||||
\(229\) | 4.72964 | 0.312543 | 0.156272 | − | 0.987714i | \(-0.450052\pi\) | ||||
0.156272 | + | 0.987714i | \(0.450052\pi\) | |||||||
\(230\) | −2.37005 | − | 4.10505i | −0.156276 | − | 0.270679i | ||||
\(231\) | −0.931366 | + | 1.61317i | −0.0612794 | + | 0.106139i | ||||
\(232\) | −1.96291 | + | 3.39986i | −0.128871 | + | 0.223212i | ||||
\(233\) | 20.5507 | 1.34632 | 0.673160 | − | 0.739497i | \(-0.264936\pi\) | ||||
0.673160 | + | 0.739497i | \(0.264936\pi\) | |||||||
\(234\) | 0.941148 | + | 11.2003i | 0.0615248 | + | 0.732185i | ||||
\(235\) | −4.34157 | −0.283213 | ||||||||
\(236\) | 30.2810 | − | 52.4482i | 1.97113 | − | 3.41409i | ||||
\(237\) | 6.22755 | − | 10.7864i | 0.404523 | − | 0.700654i | ||||
\(238\) | 5.68598 | + | 9.84840i | 0.368567 | + | 0.638377i | ||||
\(239\) | 6.25461 | 0.404577 | 0.202289 | − | 0.979326i | \(-0.435162\pi\) | ||||
0.202289 | + | 0.979326i | \(0.435162\pi\) | |||||||
\(240\) | −7.77393 | − | 13.4648i | −0.501805 | − | 0.869152i | ||||
\(241\) | 6.07220 | + | 10.5174i | 0.391145 | + | 0.677483i | 0.992601 | − | 0.121423i | \(-0.0387458\pi\) |
−0.601456 | + | 0.798906i | \(0.705412\pi\) | |||||||
\(242\) | 25.0460 | 1.61002 | ||||||||
\(243\) | −5.53911 | − | 9.59402i | −0.355334 | − | 0.615457i | ||||
\(244\) | −17.9878 | + | 31.1558i | −1.15155 | + | 1.99455i | ||||
\(245\) | −0.370541 | + | 0.641796i | −0.0236730 | + | 0.0410028i | ||||
\(246\) | −4.69361 | −0.299254 | ||||||||
\(247\) | 21.5117 | − | 14.9528i | 1.36876 | − | 0.951427i | ||||
\(248\) | 26.7011 | 1.69552 | ||||||||
\(249\) | −8.00929 | + | 13.8725i | −0.507568 | + | 0.879134i | ||||
\(250\) | −9.59902 | + | 16.6260i | −0.607095 | + | 1.05152i | ||||
\(251\) | 3.15719 | + | 5.46842i | 0.199280 | + | 0.345163i | 0.948295 | − | 0.317390i | \(-0.102806\pi\) |
−0.749015 | + | 0.662553i | \(0.769473\pi\) | |||||||
\(252\) | 6.27036 | 0.394996 | ||||||||
\(253\) | −1.59237 | − | 2.75807i | −0.100112 | − | 0.173398i | ||||
\(254\) | 7.44274 | + | 12.8912i | 0.466999 | + | 0.808866i | ||||
\(255\) | −4.19619 | −0.262775 | ||||||||
\(256\) | −25.3948 | − | 43.9850i | −1.58717 | − | 2.74907i | ||||
\(257\) | −12.1781 | + | 21.0931i | −0.759649 | + | 1.31575i | 0.183380 | + | 0.983042i | \(0.441296\pi\) |
−0.943030 | + | 0.332709i | \(0.892037\pi\) | |||||||
\(258\) | −3.25677 | + | 5.64088i | −0.202757 | + | 0.351186i | ||||
\(259\) | 6.10590 | 0.379402 | ||||||||
\(260\) | 12.0969 | − | 8.40855i | 0.750216 | − | 0.521476i | ||||
\(261\) | 0.463583 | 0.0286951 | ||||||||
\(262\) | −15.5173 | + | 26.8767i | −0.958661 | + | 1.66045i | ||||
\(263\) | 4.78955 | − | 8.29574i | 0.295336 | − | 0.511537i | −0.679727 | − | 0.733465i | \(-0.737902\pi\) |
0.975063 | + | 0.221928i | \(0.0712350\pi\) | |||||||
\(264\) | −8.96987 | − | 15.5363i | −0.552057 | − | 0.956191i | ||||
\(265\) | 3.38510 | 0.207945 | ||||||||
\(266\) | −9.95843 | − | 17.2485i | −0.610590 | − | 1.05757i | ||||
\(267\) | 1.20173 | + | 2.08145i | 0.0735445 | + | 0.127383i | ||||
\(268\) | −75.8643 | −4.63415 | ||||||||
\(269\) | −14.6995 | − | 25.4603i | −0.896245 | − | 1.55234i | −0.832256 | − | 0.554391i | \(-0.812951\pi\) |
−0.0639886 | − | 0.997951i | \(-0.520382\pi\) | |||||||
\(270\) | −5.73518 | + | 9.93362i | −0.349032 | + | 0.604541i | ||||
\(271\) | 0.150192 | − | 0.260141i | 0.00912354 | − | 0.0158024i | −0.861428 | − | 0.507880i | \(-0.830429\pi\) |
0.870551 | + | 0.492078i | \(0.163763\pi\) | |||||||
\(272\) | −63.7738 | −3.86686 | ||||||||
\(273\) | −0.412049 | − | 4.90364i | −0.0249383 | − | 0.296782i | ||||
\(274\) | 38.3078 | 2.31426 | ||||||||
\(275\) | −3.03727 | + | 5.26070i | −0.183154 | + | 0.317232i | ||||
\(276\) | 8.77959 | − | 15.2067i | 0.528469 | − | 0.915335i | ||||
\(277\) | 16.3855 | + | 28.3805i | 0.984509 | + | 1.70522i | 0.644100 | + | 0.764941i | \(0.277232\pi\) |
0.340408 | + | 0.940278i | \(0.389435\pi\) | |||||||
\(278\) | −28.5919 | −1.71483 | ||||||||
\(279\) | −1.57651 | − | 2.73059i | −0.0943831 | − | 0.163476i | ||||
\(280\) | −3.56863 | − | 6.18106i | −0.213267 | − | 0.369389i | ||||
\(281\) | 4.29482 | 0.256207 | 0.128104 | − | 0.991761i | \(-0.459111\pi\) | ||||
0.128104 | + | 0.991761i | \(0.459111\pi\) | |||||||
\(282\) | −10.9584 | − | 18.9806i | −0.652565 | − | 1.13028i | ||||
\(283\) | 10.5501 | − | 18.2734i | 0.627140 | − | 1.08624i | −0.360983 | − | 0.932572i | \(-0.617559\pi\) |
0.988123 | − | 0.153666i | \(-0.0491079\pi\) | |||||||
\(284\) | 13.2745 | − | 22.9922i | 0.787699 | − | 1.36433i | ||||
\(285\) | 7.34920 | 0.435329 | ||||||||
\(286\) | 11.0758 | − | 7.69879i | 0.654924 | − | 0.455239i | ||||
\(287\) | −1.25461 | −0.0740574 | ||||||||
\(288\) | −13.0070 | + | 22.5287i | −0.766442 | + | 1.32752i | ||||
\(289\) | −0.105901 | + | 0.183427i | −0.00622950 | + | 0.0107898i | ||||
\(290\) | −0.414022 | − | 0.717107i | −0.0243122 | − | 0.0421100i | ||||
\(291\) | 13.0119 | 0.762773 | ||||||||
\(292\) | −16.7332 | − | 28.9828i | −0.979237 | − | 1.69609i | ||||
\(293\) | −8.88192 | − | 15.3839i | −0.518887 | − | 0.898739i | −0.999759 | − | 0.0219482i | \(-0.993013\pi\) |
0.480872 | − | 0.876791i | \(-0.340320\pi\) | |||||||
\(294\) | −3.74108 | −0.218184 | ||||||||
\(295\) | 4.07012 | + | 7.04965i | 0.236971 | + | 0.410446i | ||||
\(296\) | −29.4026 | + | 50.9268i | −1.70899 | + | 2.96006i | ||||
\(297\) | −3.85331 | + | 6.67413i | −0.223592 | + | 0.387272i | ||||
\(298\) | −22.3791 | −1.29639 | ||||||||
\(299\) | 7.61286 | + | 3.58182i | 0.440263 | + | 0.207142i | ||||
\(300\) | −33.4921 | −1.93367 | ||||||||
\(301\) | −0.870541 | + | 1.50782i | −0.0501771 | + | 0.0869094i | ||||
\(302\) | −3.37411 | + | 5.84413i | −0.194158 | + | 0.336292i | ||||
\(303\) | 5.11371 | + | 8.85721i | 0.293775 | + | 0.508833i | ||||
\(304\) | 111.693 | 6.40606 | ||||||||
\(305\) | −2.41777 | − | 4.18770i | −0.138441 | − | 0.239787i | ||||
\(306\) | 6.46648 | + | 11.2003i | 0.369664 | + | 0.640277i | ||||
\(307\) | 18.0156 | 1.02821 | 0.514103 | − | 0.857729i | \(-0.328125\pi\) | ||||
0.514103 | + | 0.857729i | \(0.328125\pi\) | |||||||
\(308\) | −3.76249 | − | 6.51682i | −0.214388 | − | 0.371330i | ||||
\(309\) | −1.91653 | + | 3.31953i | −0.109028 | + | 0.188842i | ||||
\(310\) | −2.81593 | + | 4.87733i | −0.159934 | + | 0.277014i | ||||
\(311\) | 17.2545 | 0.978412 | 0.489206 | − | 0.872168i | \(-0.337287\pi\) | ||||
0.489206 | + | 0.872168i | \(0.337287\pi\) | |||||||
\(312\) | 42.8834 | + | 20.1765i | 2.42780 | + | 1.14227i | ||||
\(313\) | 6.81526 | 0.385221 | 0.192611 | − | 0.981275i | \(-0.438305\pi\) | ||||
0.192611 | + | 0.981275i | \(0.438305\pi\) | |||||||
\(314\) | −17.7071 | + | 30.6697i | −0.999272 | + | 1.73079i | ||||
\(315\) | −0.421404 | + | 0.729894i | −0.0237434 | + | 0.0411249i | ||||
\(316\) | 25.1578 | + | 43.5745i | 1.41523 | + | 2.45126i | ||||
\(317\) | −25.0770 | −1.40847 | −0.704233 | − | 0.709969i | \(-0.748709\pi\) | ||||
−0.704233 | + | 0.709969i | \(0.748709\pi\) | |||||||
\(318\) | 8.54423 | + | 14.7990i | 0.479136 | + | 0.829889i | ||||
\(319\) | −0.278170 | − | 0.481805i | −0.0155745 | − | 0.0269759i | ||||
\(320\) | 23.6818 | 1.32385 | ||||||||
\(321\) | −1.01438 | − | 1.75696i | −0.0566172 | − | 0.0980639i | ||||
\(322\) | 3.19809 | − | 5.53926i | 0.178223 | − | 0.308691i | ||||
\(323\) | 15.0724 | − | 26.1061i | 0.838650 | − | 1.45258i | ||||
\(324\) | −23.6796 | −1.31553 | ||||||||
\(325\) | −1.34373 | − | 15.9912i | −0.0745366 | − | 0.887033i | ||||
\(326\) | 16.5217 | 0.915050 | ||||||||
\(327\) | −1.95934 | + | 3.39368i | −0.108352 | + | 0.187671i | ||||
\(328\) | 6.04151 | − | 10.4642i | 0.333586 | − | 0.577789i | ||||
\(329\) | −2.92921 | − | 5.07355i | −0.161493 | − | 0.279714i | ||||
\(330\) | 3.78389 | 0.208296 | ||||||||
\(331\) | 1.49767 | + | 2.59404i | 0.0823193 | + | 0.142581i | 0.904246 | − | 0.427012i | \(-0.140434\pi\) |
−0.821926 | + | 0.569594i | \(0.807101\pi\) | |||||||
\(332\) | −32.3555 | − | 56.0414i | −1.77574 | − | 3.07567i | ||||
\(333\) | 6.94405 | 0.380531 | ||||||||
\(334\) | 10.4862 | + | 18.1627i | 0.573781 | + | 0.993817i | ||||
\(335\) | 5.09852 | − | 8.83089i | 0.278562 | − | 0.482483i | ||||
\(336\) | 10.4900 | − | 18.1692i | 0.572275 | − | 0.991209i | ||||
\(337\) | −29.4888 | −1.60636 | −0.803179 | − | 0.595738i | \(-0.796860\pi\) | ||||
−0.803179 | + | 0.595738i | \(0.796860\pi\) | |||||||
\(338\) | −12.4173 | + | 33.4006i | −0.675411 | + | 1.81675i | ||||
\(339\) | −16.9503 | −0.920613 | ||||||||
\(340\) | 8.47577 | − | 14.6805i | 0.459663 | − | 0.796160i | ||||
\(341\) | −1.89195 | + | 3.27695i | −0.102455 | + | 0.177457i | ||||
\(342\) | −11.3254 | − | 19.6162i | −0.612407 | − | 1.06072i | ||||
\(343\) | −1.00000 | −0.0539949 | ||||||||
\(344\) | −8.38407 | − | 14.5216i | −0.452039 | − | 0.782954i | ||||
\(345\) | 1.18008 | + | 2.04395i | 0.0635332 | + | 0.110043i | ||||
\(346\) | 0.450797 | 0.0242350 | ||||||||
\(347\) | 2.99343 | + | 5.18477i | 0.160696 | + | 0.278333i | 0.935118 | − | 0.354336i | \(-0.115293\pi\) |
−0.774423 | + | 0.632668i | \(0.781960\pi\) | |||||||
\(348\) | 1.53370 | − | 2.65644i | 0.0822149 | − | 0.142400i | ||||
\(349\) | 15.1681 | − | 26.2719i | 0.811929 | − | 1.40630i | −0.0995840 | − | 0.995029i | \(-0.531751\pi\) |
0.911513 | − | 0.411272i | \(-0.134915\pi\) | |||||||
\(350\) | −12.2000 | −0.652117 | ||||||||
\(351\) | −1.70476 | − | 20.2877i | −0.0909931 | − | 1.08288i | ||||
\(352\) | 31.2189 | 1.66398 | ||||||||
\(353\) | 14.3031 | − | 24.7738i | 0.761280 | − | 1.31857i | −0.180912 | − | 0.983499i | \(-0.557905\pi\) |
0.942191 | − | 0.335075i | \(-0.108762\pi\) | |||||||
\(354\) | −20.5465 | + | 35.5876i | −1.09203 | + | 1.89146i | ||||
\(355\) | 1.78425 | + | 3.09041i | 0.0946982 | + | 0.164022i | ||||
\(356\) | −9.70936 | −0.514595 | ||||||||
\(357\) | −2.83112 | − | 4.90364i | −0.149839 | − | 0.259528i | ||||
\(358\) | 1.05344 | + | 1.82462i | 0.0556762 | + | 0.0964340i | ||||
\(359\) | 23.4618 | 1.23826 | 0.619132 | − | 0.785287i | \(-0.287485\pi\) | ||||
0.619132 | + | 0.785287i | \(0.287485\pi\) | |||||||
\(360\) | −4.05849 | − | 7.02952i | −0.213901 | − | 0.370488i | ||||
\(361\) | −16.8978 | + | 29.2678i | −0.889357 | + | 1.54041i | ||||
\(362\) | −13.5978 | + | 23.5522i | −0.714687 | + | 1.23787i | ||||
\(363\) | −12.4707 | −0.654543 | ||||||||
\(364\) | 17.9878 | + | 8.46319i | 0.942818 | + | 0.443592i | ||||
\(365\) | 4.49827 | 0.235450 | ||||||||
\(366\) | 12.2052 | − | 21.1401i | 0.637978 | − | 1.10501i | ||||
\(367\) | −18.2598 | + | 31.6270i | −0.953156 | + | 1.65091i | −0.214623 | + | 0.976697i | \(0.568852\pi\) |
−0.738533 | + | 0.674218i | \(0.764481\pi\) | |||||||
\(368\) | 17.9349 | + | 31.0641i | 0.934920 | + | 1.61933i | ||||
\(369\) | −1.42683 | −0.0742778 | ||||||||
\(370\) | −6.20166 | − | 10.7416i | −0.322409 | − | 0.558429i | ||||
\(371\) | 2.28389 | + | 3.95582i | 0.118574 | + | 0.205376i | ||||
\(372\) | −20.8626 | −1.08168 | ||||||||
\(373\) | 6.52491 | + | 11.3015i | 0.337847 | + | 0.585168i | 0.984028 | − | 0.178017i | \(-0.0569680\pi\) |
−0.646181 | + | 0.763185i | \(0.723635\pi\) | |||||||
\(374\) | 7.76033 | − | 13.4413i | 0.401277 | − | 0.695033i | ||||
\(375\) | 4.77947 | − | 8.27829i | 0.246811 | − | 0.427489i | ||||
\(376\) | 56.4218 | 2.90973 | ||||||||
\(377\) | 1.32988 | + | 0.625705i | 0.0684925 | + | 0.0322254i | ||||
\(378\) | −15.4779 | −0.796095 | ||||||||
\(379\) | −15.3018 | + | 26.5036i | −0.786003 | + | 1.36140i | 0.142395 | + | 0.989810i | \(0.454520\pi\) |
−0.928398 | + | 0.371587i | \(0.878814\pi\) | |||||||
\(380\) | −14.8445 | + | 25.7114i | −0.761505 | + | 1.31897i | ||||
\(381\) | −3.70584 | − | 6.41870i | −0.189856 | − | 0.328840i | ||||
\(382\) | −27.1283 | −1.38800 | ||||||||
\(383\) | 2.44299 | + | 4.23138i | 0.124831 | + | 0.216213i | 0.921667 | − | 0.387982i | \(-0.126828\pi\) |
−0.796836 | + | 0.604196i | \(0.793495\pi\) | |||||||
\(384\) | 28.5555 | + | 49.4596i | 1.45722 | + | 2.52398i | ||||
\(385\) | 1.01144 | 0.0515479 | ||||||||
\(386\) | 11.9247 | + | 20.6542i | 0.606953 | + | 1.05127i | ||||
\(387\) | −0.990038 | + | 1.71480i | −0.0503265 | + | 0.0871680i | ||||
\(388\) | −26.2825 | + | 45.5226i | −1.33429 | + | 2.31106i | ||||
\(389\) | −1.85425 | −0.0940143 | −0.0470072 | − | 0.998895i | \(-0.514968\pi\) | ||||
−0.0470072 | + | 0.998895i | \(0.514968\pi\) | |||||||
\(390\) | −8.20805 | + | 5.70543i | −0.415631 | + | 0.288906i | ||||
\(391\) | 9.68082 | 0.489580 | ||||||||
\(392\) | 4.81544 | − | 8.34058i | 0.243216 | − | 0.421263i | ||||
\(393\) | 7.72625 | − | 13.3823i | 0.389738 | − | 0.675046i | ||||
\(394\) | −35.6595 | − | 61.7641i | −1.79650 | − | 3.11163i | ||||
\(395\) | −6.76298 | −0.340283 | ||||||||
\(396\) | −4.27896 | − | 7.41137i | −0.215026 | − | 0.372435i | ||||
\(397\) | −10.7567 | − | 18.6312i | −0.539863 | − | 0.935071i | −0.998911 | − | 0.0466590i | \(-0.985143\pi\) |
0.459048 | − | 0.888412i | \(-0.348191\pi\) | |||||||
\(398\) | −27.7753 | −1.39225 | ||||||||
\(399\) | 4.95843 | + | 8.58825i | 0.248232 | + | 0.429950i | ||||
\(400\) | 34.2087 | − | 59.2513i | 1.71044 | − | 2.96256i | ||||
\(401\) | 7.28266 | − | 12.6139i | 0.363678 | − | 0.629910i | −0.624885 | − | 0.780717i | \(-0.714854\pi\) |
0.988563 | + | 0.150808i | \(0.0481874\pi\) | |||||||
\(402\) | 51.4760 | 2.56739 | ||||||||
\(403\) | −0.837022 | − | 9.96110i | −0.0416950 | − | 0.496198i | ||||
\(404\) | −41.3162 | −2.05556 | ||||||||
\(405\) | 1.59141 | − | 2.75640i | 0.0790776 | − | 0.136966i | ||||
\(406\) | 0.558672 | − | 0.967649i | 0.0277264 | − | 0.0480236i | ||||
\(407\) | −4.16673 | − | 7.21698i | −0.206537 | − | 0.357733i | ||||
\(408\) | 54.5323 | 2.69975 | ||||||||
\(409\) | 11.0645 | + | 19.1643i | 0.547105 | + | 0.947613i | 0.998471 | + | 0.0552745i | \(0.0176034\pi\) |
−0.451366 | + | 0.892339i | \(0.649063\pi\) | |||||||
\(410\) | 1.27429 | + | 2.20713i | 0.0629326 | + | 0.109003i | ||||
\(411\) | −19.0739 | −0.940847 | ||||||||
\(412\) | −7.74232 | − | 13.4101i | −0.381437 | − | 0.660668i | ||||
\(413\) | −5.49213 | + | 9.51264i | −0.270250 | + | 0.468086i | ||||
\(414\) | 3.63709 | − | 6.29962i | 0.178753 | − | 0.309610i | ||||
\(415\) | 8.69791 | 0.426964 | ||||||||
\(416\) | −67.7204 | + | 47.0726i | −3.32027 | + | 2.30792i | ||||
\(417\) | 14.2363 | 0.697153 | ||||||||
\(418\) | −13.5915 | + | 23.5411i | −0.664780 | + | 1.15143i | ||||
\(419\) | −1.68795 | + | 2.92362i | −0.0824618 | + | 0.142828i | −0.904307 | − | 0.426883i | \(-0.859612\pi\) |
0.821845 | + | 0.569711i | \(0.192945\pi\) | |||||||
\(420\) | 2.78831 | + | 4.82950i | 0.136056 | + | 0.235655i | ||||
\(421\) | −25.1101 | −1.22379 | −0.611895 | − | 0.790939i | \(-0.709593\pi\) | ||||
−0.611895 | + | 0.790939i | \(0.709593\pi\) | |||||||
\(422\) | 22.8582 | + | 39.5915i | 1.11272 | + | 1.92729i | ||||
\(423\) | −3.33130 | − | 5.76998i | −0.161973 | − | 0.280546i | ||||
\(424\) | −43.9917 | −2.13643 | ||||||||
\(425\) | −9.23254 | − | 15.9912i | −0.447844 | − | 0.775688i | ||||
\(426\) | −9.00714 | + | 15.6008i | −0.436397 | + | 0.755862i | ||||
\(427\) | 3.26249 | − | 5.65079i | 0.157883 | − | 0.273461i | ||||
\(428\) | 8.19570 | 0.396154 | ||||||||
\(429\) | −5.51477 | + | 3.83332i | −0.266255 | + | 0.185075i | ||||
\(430\) | 3.53678 | 0.170558 | ||||||||
\(431\) | −5.39742 | + | 9.34861i | −0.259985 | + | 0.450307i | −0.966238 | − | 0.257653i | \(-0.917051\pi\) |
0.706253 | + | 0.707960i | \(0.250384\pi\) | |||||||
\(432\) | 43.3998 | − | 75.1707i | 2.08808 | − | 3.61665i | ||||
\(433\) | 7.25910 | + | 12.5731i | 0.348850 | + | 0.604226i | 0.986045 | − | 0.166476i | \(-0.0532389\pi\) |
−0.637195 | + | 0.770702i | \(0.719906\pi\) | |||||||
\(434\) | −7.59951 | −0.364788 | ||||||||
\(435\) | 0.206147 | + | 0.357057i | 0.00988398 | + | 0.0171196i | ||||
\(436\) | −7.91526 | − | 13.7096i | −0.379072 | − | 0.656572i | ||||
\(437\) | −16.9550 | −0.811068 | ||||||||
\(438\) | 11.3539 | + | 19.6656i | 0.542512 | + | 0.939659i | ||||
\(439\) | 7.21544 | − | 12.4975i | 0.344374 | − | 0.596473i | −0.640866 | − | 0.767653i | \(-0.721425\pi\) |
0.985240 | + | 0.171180i | \(0.0547578\pi\) | |||||||
\(440\) | −4.87054 | + | 8.43602i | −0.232194 | + | 0.402172i | ||||
\(441\) | −1.13727 | −0.0541556 | ||||||||
\(442\) | 3.43327 | + | 40.8582i | 0.163304 | + | 1.94343i | ||||
\(443\) | −30.2430 | −1.43689 | −0.718445 | − | 0.695584i | \(-0.755146\pi\) | ||||
−0.718445 | + | 0.695584i | \(0.755146\pi\) | |||||||
\(444\) | 22.9734 | − | 39.7910i | 1.09027 | − | 1.88840i | ||||
\(445\) | 0.652525 | − | 1.13021i | 0.0309326 | − | 0.0535769i | ||||
\(446\) | 1.46697 | + | 2.54087i | 0.0694632 | + | 0.120314i | ||||
\(447\) | 11.1428 | 0.527038 | ||||||||
\(448\) | 15.9779 | + | 27.6745i | 0.754883 | + | 1.30750i | ||||
\(449\) | −15.6380 | − | 27.0858i | −0.738003 | − | 1.27826i | −0.953393 | − | 0.301731i | \(-0.902435\pi\) |
0.215390 | − | 0.976528i | \(-0.430898\pi\) | |||||||
\(450\) | −13.8747 | −0.654058 | ||||||||
\(451\) | 0.856160 | + | 1.48291i | 0.0403150 | + | 0.0698276i | ||||
\(452\) | 34.2375 | − | 59.3010i | 1.61039 | − | 2.78928i | ||||
\(453\) | 1.68001 | − | 2.90987i | 0.0789338 | − | 0.136717i | ||||
\(454\) | 67.0645 | 3.14749 | ||||||||
\(455\) | −2.19403 | + | 1.52508i | −0.102858 | + | 0.0714966i | ||||
\(456\) | −95.5080 | −4.47257 | ||||||||
\(457\) | −10.3233 | + | 17.8805i | −0.482904 | + | 0.836415i | −0.999807 | − | 0.0196293i | \(-0.993751\pi\) |
0.516903 | + | 0.856044i | \(0.327085\pi\) | |||||||
\(458\) | 6.48216 | − | 11.2274i | 0.302892 | − | 0.524624i | ||||
\(459\) | −11.7131 | − | 20.2877i | −0.546721 | − | 0.946948i | ||||
\(460\) | −9.53444 | −0.444545 | ||||||||
\(461\) | −13.6480 | − | 23.6391i | −0.635653 | − | 1.10098i | −0.986376 | − | 0.164504i | \(-0.947398\pi\) |
0.350724 | − | 0.936479i | \(-0.385936\pi\) | |||||||
\(462\) | 2.55295 | + | 4.42184i | 0.118774 | + | 0.205723i | ||||
\(463\) | 5.65977 | 0.263032 | 0.131516 | − | 0.991314i | \(-0.458016\pi\) | ||||
0.131516 | + | 0.991314i | \(0.458016\pi\) | |||||||
\(464\) | 3.13303 | + | 5.42656i | 0.145447 | + | 0.251922i | ||||
\(465\) | 1.40209 | − | 2.42849i | 0.0650202 | − | 0.112618i | ||||
\(466\) | 28.1656 | − | 48.7842i | 1.30474 | − | 2.25988i | ||||
\(467\) | 42.2145 | 1.95345 | 0.976727 | − | 0.214486i | \(-0.0688075\pi\) | ||||
0.976727 | + | 0.214486i | \(0.0688075\pi\) | |||||||
\(468\) | 20.4570 | + | 9.62491i | 0.945624 | + | 0.444912i | ||||
\(469\) | 13.7597 | 0.635362 | ||||||||
\(470\) | −5.95031 | + | 10.3062i | −0.274467 | + | 0.475391i | ||||
\(471\) | 8.81661 | − | 15.2708i | 0.406248 | − | 0.703642i | ||||
\(472\) | −52.8940 | − | 91.6151i | −2.43464 | − | 4.21692i | ||||
\(473\) | 2.37626 | 0.109261 | ||||||||
\(474\) | −17.0702 | − | 29.5665i | −0.784062 | − | 1.35803i | ||||
\(475\) | 16.1699 | + | 28.0070i | 0.741925 | + | 1.28505i | ||||
\(476\) | 22.8740 | 1.04843 | ||||||||
\(477\) | 2.59740 | + | 4.49882i | 0.118927 | + | 0.205987i | ||||
\(478\) | 8.57220 | − | 14.8475i | 0.392083 | − | 0.679108i | ||||
\(479\) | −16.2658 | + | 28.1732i | −0.743204 | + | 1.28727i | 0.207825 | + | 0.978166i | \(0.433361\pi\) |
−0.951029 | + | 0.309101i | \(0.899972\pi\) | |||||||
\(480\) | −23.1358 | −1.05600 | ||||||||
\(481\) | 19.9204 | + | 9.37247i | 0.908293 | + | 0.427348i | ||||
\(482\) | 33.2888 | 1.51626 | ||||||||
\(483\) | −1.59237 | + | 2.75807i | −0.0724554 | + | 0.125496i | ||||
\(484\) | 25.1893 | − | 43.6292i | 1.14497 | − | 1.98314i | ||||
\(485\) | −3.53267 | − | 6.11876i | −0.160410 | − | 0.277839i | ||||
\(486\) | −30.3663 | −1.37744 | ||||||||
\(487\) | −13.4291 | − | 23.2600i | −0.608533 | − | 1.05401i | −0.991482 | − | 0.130240i | \(-0.958425\pi\) |
0.382950 | − | 0.923769i | \(-0.374908\pi\) | |||||||
\(488\) | 31.4206 | + | 54.4221i | 1.42234 | + | 2.46357i | ||||
\(489\) | −8.22634 | −0.372008 | ||||||||
\(490\) | 1.01568 | + | 1.75921i | 0.0458839 | + | 0.0794732i | ||||
\(491\) | −21.8439 | + | 37.8348i | −0.985802 | + | 1.70746i | −0.347485 | + | 0.937685i | \(0.612964\pi\) |
−0.638317 | + | 0.769774i | \(0.720369\pi\) | |||||||
\(492\) | −4.72046 | + | 8.17608i | −0.212815 | + | 0.368606i | ||||
\(493\) | 1.69113 | 0.0761649 | ||||||||
\(494\) | −6.01304 | − | 71.5590i | −0.270539 | − | 3.21959i | ||||
\(495\) | 1.15028 | 0.0517013 | ||||||||
\(496\) | 21.3090 | − | 36.9082i | 0.956801 | − | 1.65723i | ||||
\(497\) | −2.40763 | + | 4.17014i | −0.107997 | + | 0.187056i | ||||
\(498\) | 21.9541 | + | 38.0257i | 0.983788 | + | 1.70397i | ||||
\(499\) | −18.1020 | −0.810355 | −0.405177 | − | 0.914238i | \(-0.632790\pi\) | ||||
−0.405177 | + | 0.914238i | \(0.632790\pi\) | |||||||
\(500\) | 19.3079 | + | 33.4422i | 0.863474 | + | 1.49558i | ||||
\(501\) | −5.22122 | − | 9.04343i | −0.233267 | − | 0.404030i | ||||
\(502\) | 17.3082 | 0.772505 | ||||||||
\(503\) | 14.2077 | + | 24.6085i | 0.633492 | + | 1.09724i | 0.986833 | + | 0.161745i | \(0.0517123\pi\) |
−0.353341 | + | 0.935495i | \(0.614954\pi\) | |||||||
\(504\) | 5.47644 | − | 9.48548i | 0.243940 | − | 0.422517i | ||||
\(505\) | 2.77669 | − | 4.80937i | 0.123561 | − | 0.214014i | ||||
\(506\) | −8.72964 | −0.388080 | ||||||||
\(507\) | 6.18272 | − | 16.6306i | 0.274584 | − | 0.738589i | ||||
\(508\) | 29.9413 | 1.32843 | ||||||||
\(509\) | −8.73956 | + | 15.1374i | −0.387374 | + | 0.670952i | −0.992095 | − | 0.125485i | \(-0.959951\pi\) |
0.604721 | + | 0.796437i | \(0.293285\pi\) | |||||||
\(510\) | −5.75104 | + | 9.96110i | −0.254660 | + | 0.441085i | ||||
\(511\) | 3.03494 | + | 5.25666i | 0.134258 | + | 0.232541i | ||||
\(512\) | −55.5280 | −2.45402 | ||||||||
\(513\) | 20.5143 | + | 35.5319i | 0.905730 | + | 1.56877i | ||||
\(514\) | 33.3812 | + | 57.8179i | 1.47238 | + | 2.55024i | ||||
\(515\) | 2.08131 | 0.0917136 | ||||||||
\(516\) | 6.55080 | + | 11.3463i | 0.288383 | + | 0.499494i | ||||
\(517\) | −3.99785 | + | 6.92447i | −0.175825 | + | 0.304538i | ||||
\(518\) | 8.36839 | − | 14.4945i | 0.367686 | − | 0.636851i | ||||
\(519\) | −0.224458 | −0.00985260 | ||||||||
\(520\) | −2.15479 | − | 25.6434i | −0.0944939 | − | 1.12454i | ||||
\(521\) | 19.3087 | 0.845931 | 0.422966 | − | 0.906146i | \(-0.360989\pi\) | ||||
0.422966 | + | 0.906146i | \(0.360989\pi\) | |||||||
\(522\) | 0.635360 | − | 1.10048i | 0.0278090 | − | 0.0481665i | ||||
\(523\) | 5.01144 | − | 8.68007i | 0.219135 | − | 0.379553i | −0.735409 | − | 0.677624i | \(-0.763010\pi\) |
0.954544 | + | 0.298071i | \(0.0963431\pi\) | |||||||
\(524\) | 31.2121 | + | 54.0610i | 1.36351 | + | 2.36167i | ||||
\(525\) | 6.07453 | 0.265114 | ||||||||
\(526\) | −13.1285 | − | 22.7393i | −0.572432 | − | 0.991481i | ||||
\(527\) | −5.75104 | − | 9.96110i | −0.250519 | − | 0.433912i | ||||
\(528\) | −28.6338 | −1.24613 | ||||||||
\(529\) | 8.77750 | + | 15.2031i | 0.381630 | + | 0.661003i | ||||
\(530\) | 4.63942 | − | 8.03571i | 0.201524 | − | 0.349049i | ||||
\(531\) | −6.24602 | + | 10.8184i | −0.271054 | + | 0.469479i | ||||
\(532\) | −40.0616 | −1.73689 | ||||||||
\(533\) | −4.09316 | − | 1.92581i | −0.177294 | − | 0.0834162i | ||||
\(534\) | 6.58807 | 0.285093 | ||||||||
\(535\) | −0.550798 | + | 0.954010i | −0.0238131 | + | 0.0412454i | ||||
\(536\) | −66.2588 | + | 114.764i | −2.86194 | + | 4.95703i | ||||
\(537\) | −0.524522 | − | 0.908500i | −0.0226348 | − | 0.0392046i | ||||
\(538\) | −80.5851 | −3.47427 | ||||||||
\(539\) | 0.682410 | + | 1.18197i | 0.0293935 | + | 0.0509110i | ||||
\(540\) | 11.5360 | + | 19.9809i | 0.496430 | + | 0.859842i | ||||
\(541\) | 17.6153 | 0.757339 | 0.378670 | − | 0.925532i | \(-0.376382\pi\) | ||||
0.378670 | + | 0.925532i | \(0.376382\pi\) | |||||||
\(542\) | −0.411690 | − | 0.713067i | −0.0176836 | − | 0.0306289i | ||||
\(543\) | 6.77054 | − | 11.7269i | 0.290552 | − | 0.503250i | ||||
\(544\) | −47.4489 | + | 82.1839i | −2.03435 | + | 3.52361i | ||||
\(545\) | 2.12780 | 0.0911451 | ||||||||
\(546\) | −12.2052 | − | 5.74251i | −0.522336 | − | 0.245757i | ||||
\(547\) | 2.98425 | 0.127597 | 0.0637987 | − | 0.997963i | \(-0.479678\pi\) | ||||
0.0637987 | + | 0.997963i | \(0.479678\pi\) | |||||||
\(548\) | 38.5269 | − | 66.7306i | 1.64579 | − | 2.85059i | ||||
\(549\) | 3.71032 | − | 6.42647i | 0.158353 | − | 0.274275i | ||||
\(550\) | 8.32540 | + | 14.4200i | 0.354996 | + | 0.614871i | ||||
\(551\) | −2.96185 | −0.126179 | ||||||||
\(552\) | −15.3359 | − | 26.5626i | −0.652740 | − | 1.13058i | ||||
\(553\) | −4.56291 | − | 7.90320i | −0.194035 | − | 0.336078i | ||||
\(554\) | 89.8279 | 3.81642 | ||||||||
\(555\) | 3.08789 | + | 5.34838i | 0.131073 | + | 0.227026i | ||||
\(556\) | −28.7555 | + | 49.8059i | −1.21950 | + | 2.11224i | ||||
\(557\) | −3.62798 | + | 6.28384i | −0.153722 | + | 0.266255i | −0.932593 | − | 0.360930i | \(-0.882459\pi\) |
0.778871 | + | 0.627184i | \(0.215793\pi\) | |||||||
\(558\) | −8.64268 | −0.365874 | ||||||||
\(559\) | −5.15461 | + | 3.58298i | −0.218017 | + | 0.151544i | ||||
\(560\) | −11.3919 | −0.481395 | ||||||||
\(561\) | −3.86397 | + | 6.69259i | −0.163137 | + | 0.282561i | ||||
\(562\) | 5.88622 | − | 10.1952i | 0.248295 | − | 0.430060i | ||||
\(563\) | −2.13967 | − | 3.70601i | −0.0901762 | − | 0.156190i | 0.817409 | − | 0.576058i | \(-0.195410\pi\) |
−0.907585 | + | 0.419868i | \(0.862076\pi\) | |||||||
\(564\) | −44.0845 | −1.85629 | ||||||||
\(565\) | 4.60191 | + | 7.97074i | 0.193604 | + | 0.335332i | ||||
\(566\) | −28.9188 | − | 50.0888i | −1.21555 | − | 2.10539i | ||||
\(567\) | 4.29482 | 0.180365 | ||||||||
\(568\) | −23.1876 | − | 40.1621i | −0.972929 | − | 1.68516i | ||||
\(569\) | 9.88131 | − | 17.1149i | 0.414246 | − | 0.717495i | −0.581103 | − | 0.813830i | \(-0.697379\pi\) |
0.995349 | + | 0.0963347i | \(0.0307119\pi\) | |||||||
\(570\) | 10.0724 | − | 17.4459i | 0.421886 | − | 0.730727i | ||||
\(571\) | −19.9236 | −0.833778 | −0.416889 | − | 0.908957i | \(-0.636880\pi\) | ||||
−0.416889 | + | 0.908957i | \(0.636880\pi\) | |||||||
\(572\) | −2.27184 | − | 27.0364i | −0.0949905 | − | 1.13045i | ||||
\(573\) | 13.5075 | 0.564285 | ||||||||
\(574\) | −1.71950 | + | 2.97826i | −0.0717704 | + | 0.124310i | ||||
\(575\) | −5.19286 | + | 8.99430i | −0.216557 | + | 0.375088i | ||||
\(576\) | 18.1711 | + | 31.4733i | 0.757129 | + | 1.31139i | ||||
\(577\) | −28.7300 | −1.19605 | −0.598023 | − | 0.801479i | \(-0.704047\pi\) | ||||
−0.598023 | + | 0.801479i | \(0.704047\pi\) | |||||||
\(578\) | 0.290284 | + | 0.502787i | 0.0120742 | + | 0.0209132i | ||||
\(579\) | −5.93747 | − | 10.2840i | −0.246753 | − | 0.427389i | ||||
\(580\) | −1.66556 | −0.0691587 | ||||||||
\(581\) | 5.86839 | + | 10.1643i | 0.243462 | + | 0.421688i | ||||
\(582\) | 17.8334 | − | 30.8883i | 0.739218 | − | 1.28036i | ||||
\(583\) | 3.11710 | − | 5.39897i | 0.129097 | − | 0.223603i | ||||
\(584\) | −58.4582 | −2.41902 | ||||||||
\(585\) | −2.49520 | + | 1.73442i | −0.103164 | + | 0.0717094i | ||||
\(586\) | −48.6921 | −2.01145 | ||||||||
\(587\) | −15.7694 | + | 27.3134i | −0.650872 | + | 1.12734i | 0.332040 | + | 0.943265i | \(0.392263\pi\) |
−0.982912 | + | 0.184078i | \(0.941070\pi\) | |||||||
\(588\) | −3.76249 | + | 6.51682i | −0.155162 | + | 0.268749i | ||||
\(589\) | 10.0724 | + | 17.4459i | 0.415025 | + | 0.718845i | ||||
\(590\) | 22.3130 | 0.918613 | ||||||||
\(591\) | 17.7553 | + | 30.7531i | 0.730357 | + | 1.26502i | ||||
\(592\) | 46.9298 | + | 81.2848i | 1.92880 | + | 3.34079i | ||||
\(593\) | −11.1181 | −0.456564 | −0.228282 | − | 0.973595i | \(-0.573311\pi\) | ||||
−0.228282 | + | 0.973595i | \(0.573311\pi\) | |||||||
\(594\) | 10.5622 | + | 18.2943i | 0.433374 | + | 0.750626i | ||||
\(595\) | −1.53727 | + | 2.66263i | −0.0630218 | + | 0.109157i | ||||
\(596\) | −22.5071 | + | 38.9835i | −0.921928 | + | 1.59683i | ||||
\(597\) | 13.8297 | 0.566010 | ||||||||
\(598\) | 18.9364 | − | 13.1627i | 0.774368 | − | 0.538264i | ||||
\(599\) | −7.29572 | −0.298095 | −0.149048 | − | 0.988830i | \(-0.547621\pi\) | ||||
−0.149048 | + | 0.988830i | \(0.547621\pi\) | |||||||
\(600\) | −29.2515 | + | 50.6652i | −1.19419 | + | 2.06840i | ||||
\(601\) | 0.586291 | − | 1.01548i | 0.0239153 | − | 0.0414225i | −0.853820 | − | 0.520568i | \(-0.825720\pi\) |
0.877735 | + | 0.479146i | \(0.159053\pi\) | |||||||
\(602\) | 2.38622 | + | 4.13306i | 0.0972552 | + | 0.168451i | ||||
\(603\) | 15.6484 | 0.637253 | ||||||||
\(604\) | 6.78683 | + | 11.7551i | 0.276152 | + | 0.478310i | ||||
\(605\) | 3.38573 | + | 5.86426i | 0.137650 | + | 0.238416i | ||||
\(606\) | 28.0342 | 1.13881 | ||||||||
\(607\) | −0.316919 | − | 0.548920i | −0.0128633 | − | 0.0222800i | 0.859522 | − | 0.511099i | \(-0.170761\pi\) |
−0.872385 | + | 0.488819i | \(0.837428\pi\) | |||||||
\(608\) | 83.1020 | − | 143.937i | 3.37023 | − | 5.83741i | ||||
\(609\) | −0.278170 | + | 0.481805i | −0.0112720 | + | 0.0195237i | ||||
\(610\) | −13.2546 | −0.536664 | ||||||||
\(611\) | −1.76870 | − | 21.0487i | −0.0715540 | − | 0.851538i | ||||
\(612\) | 26.0139 | 1.05155 | ||||||||
\(613\) | 15.4275 | − | 26.7212i | 0.623110 | − | 1.07926i | −0.365793 | − | 0.930696i | \(-0.619202\pi\) |
0.988903 | − | 0.148562i | \(-0.0474646\pi\) | |||||||
\(614\) | 24.6911 | − | 42.7663i | 0.996453 | − | 1.72591i | ||||
\(615\) | −0.634485 | − | 1.09896i | −0.0255849 | − | 0.0443143i | ||||
\(616\) | −13.1444 | −0.529603 | ||||||||
\(617\) | −16.9105 | − | 29.2898i | −0.680790 | − | 1.17916i | −0.974740 | − | 0.223341i | \(-0.928304\pi\) |
0.293951 | − | 0.955821i | \(-0.405030\pi\) | |||||||
\(618\) | 5.25338 | + | 9.09911i | 0.211322 | + | 0.366020i | ||||
\(619\) | −0.404797 | −0.0162702 | −0.00813509 | − | 0.999967i | \(-0.502590\pi\) | ||||
−0.00813509 | + | 0.999967i | \(0.502590\pi\) | |||||||
\(620\) | 5.66408 | + | 9.81048i | 0.227475 | + | 0.393998i | ||||
\(621\) | −6.58807 | + | 11.4109i | −0.264370 | + | 0.457902i | ||||
\(622\) | 23.6480 | − | 40.9595i | 0.948197 | − | 1.64233i | ||||
\(623\) | 1.76101 | 0.0705532 | ||||||||
\(624\) | 62.1128 | − | 43.1747i | 2.48650 | − | 1.72837i | ||||
\(625\) | 17.0636 | 0.682543 | ||||||||
\(626\) | 9.34059 | − | 16.1784i | 0.373325 | − | 0.646618i | ||||
\(627\) | 6.76736 | − | 11.7214i | 0.270262 | − | 0.468108i | ||||
\(628\) | 35.6169 | + | 61.6903i | 1.42127 | + | 2.46171i | ||||
\(629\) | 25.3316 | 1.01004 | ||||||||
\(630\) | 1.15510 | + | 2.00070i | 0.0460204 | + | 0.0797097i | ||||
\(631\) | −15.2254 | − | 26.3712i | −0.606114 | − | 1.04982i | −0.991874 | − | 0.127221i | \(-0.959394\pi\) |
0.385761 | − | 0.922599i | \(-0.373939\pi\) | |||||||
\(632\) | 87.8897 | 3.49606 | ||||||||
\(633\) | −11.3814 | − | 19.7131i | −0.452369 | − | 0.783526i | ||||
\(634\) | −34.3691 | + | 59.5290i | −1.36497 | + | 2.36420i | ||||
\(635\) | −2.01223 | + | 3.48528i | −0.0798529 | + | 0.138309i | ||||
\(636\) | 34.3724 | 1.36296 | ||||||||
\(637\) | −3.26249 | − | 1.53499i | −0.129264 | − | 0.0608183i | ||||
\(638\) | −1.52497 | −0.0603743 | ||||||||
\(639\) | −2.73812 | + | 4.74256i | −0.108318 | + | 0.187613i | ||||
\(640\) | 15.5053 | − | 26.8560i | 0.612903 | − | 1.06158i | ||||
\(641\) | −4.82282 | − | 8.35337i | −0.190490 | − | 0.329938i | 0.754923 | − | 0.655814i | \(-0.227674\pi\) |
−0.945413 | + | 0.325875i | \(0.894341\pi\) | |||||||
\(642\) | −5.56100 | −0.219475 | ||||||||
\(643\) | −4.06648 | − | 7.04335i | −0.160366 | − | 0.277763i | 0.774634 | − | 0.632410i | \(-0.217934\pi\) |
−0.935000 | + | 0.354647i | \(0.884601\pi\) | |||||||
\(644\) | −6.43278 | − | 11.1419i | −0.253487 | − | 0.439053i | ||||
\(645\) | −1.76101 | −0.0693395 | ||||||||
\(646\) | −41.3146 | − | 71.5590i | −1.62550 | − | 2.81545i | ||||
\(647\) | 5.76136 | − | 9.97898i | 0.226503 | − | 0.392314i | −0.730267 | − | 0.683162i | \(-0.760604\pi\) |
0.956769 | + | 0.290848i | \(0.0939375\pi\) | |||||||
\(648\) | −20.6814 | + | 35.8213i | −0.812443 | + | 1.40719i | ||||
\(649\) | 14.9915 | 0.588469 | ||||||||
\(650\) | −39.8023 | − | 18.7268i | −1.56118 | − | 0.734526i | ||||
\(651\) | 3.78389 | 0.148302 | ||||||||
\(652\) | 16.6162 | − | 28.7801i | 0.650740 | − | 1.12711i | ||||
\(653\) | −21.2020 | + | 36.7229i | −0.829697 | + | 1.43708i | 0.0685797 | + | 0.997646i | \(0.478153\pi\) |
−0.898276 | + | 0.439431i | \(0.855180\pi\) | |||||||
\(654\) | 5.37072 | + | 9.30236i | 0.210012 | + | 0.363751i | ||||
\(655\) | −8.39054 | −0.327845 | ||||||||
\(656\) | −9.64292 | − | 16.7020i | −0.376493 | − | 0.652105i | ||||
\(657\) | 3.45153 | + | 5.97823i | 0.134657 | + | 0.233233i | ||||
\(658\) | −16.0584 | −0.626023 | ||||||||
\(659\) | 1.25044 | + | 2.16582i | 0.0487101 | + | 0.0843684i | 0.889352 | − | 0.457222i | \(-0.151156\pi\) |
−0.840642 | + | 0.541591i | \(0.817822\pi\) | |||||||
\(660\) | 3.80554 | − | 6.59139i | 0.148130 | − | 0.256570i | ||||
\(661\) | −7.41968 | + | 12.8513i | −0.288592 | + | 0.499856i | −0.973474 | − | 0.228798i | \(-0.926520\pi\) |
0.684882 | + | 0.728654i | \(0.259854\pi\) | |||||||
\(662\) | 8.21046 | 0.319109 | ||||||||
\(663\) | −1.70947 | − | 20.3438i | −0.0663903 | − | 0.790088i | ||||
\(664\) | −113.035 | −4.38663 | ||||||||
\(665\) | 2.69237 | − | 4.66332i | 0.104406 | − | 0.180836i | ||||
\(666\) | 9.51710 | − | 16.4841i | 0.368780 | − | 0.638746i | ||||
\(667\) | −0.475592 | − | 0.823749i | −0.0184150 | − | 0.0318957i | ||||
\(668\) | 42.1849 | 1.63218 | ||||||||
\(669\) | −0.730424 | − | 1.26513i | −0.0282398 | − | 0.0489128i | ||||
\(670\) | −13.9755 | − | 24.2062i | −0.539919 | − | 0.935167i | ||||
\(671\) | −8.90541 | −0.343790 | ||||||||
\(672\) | −15.6095 | − | 27.0364i | −0.602148 | − | 1.04295i | ||||
\(673\) | −19.8046 | + | 34.3025i | −0.763410 | + | 1.32226i | 0.177674 | + | 0.984089i | \(0.443143\pi\) |
−0.941083 | + | 0.338175i | \(0.890190\pi\) | |||||||
\(674\) | −40.4156 | + | 70.0019i | −1.55675 | + | 2.69637i | ||||
\(675\) | 25.1320 | 0.967330 | ||||||||
\(676\) | 45.6942 | + | 55.2221i | 1.75747 | + | 2.12393i | ||||
\(677\) | 17.0321 | 0.654596 | 0.327298 | − | 0.944921i | \(-0.393862\pi\) | ||||
0.327298 | + | 0.944921i | \(0.393862\pi\) | |||||||
\(678\) | −23.2311 | + | 40.2374i | −0.892183 | + | 1.54531i | ||||
\(679\) | 4.76691 | − | 8.25652i | 0.182937 | − | 0.316856i | ||||
\(680\) | −14.8052 | − | 25.6434i | −0.567755 | − | 0.983380i | ||||
\(681\) | −33.3922 | −1.27959 | ||||||||
\(682\) | 5.18598 | + | 8.98238i | 0.198581 | + | 0.343953i | ||||
\(683\) | −16.4456 | − | 28.4846i | −0.629272 | − | 1.08993i | −0.987698 | − | 0.156374i | \(-0.950020\pi\) |
0.358426 | − | 0.933558i | \(-0.383314\pi\) | |||||||
\(684\) | −45.5608 | −1.74206 | ||||||||
\(685\) | 5.17846 | + | 8.96936i | 0.197859 | + | 0.342702i | ||||
\(686\) | −1.37054 | + | 2.37385i | −0.0523275 | + | 0.0906339i | ||||
\(687\) | −3.22755 | + | 5.59028i | −0.123139 | + | 0.213283i | ||||
\(688\) | −26.7638 | −1.02036 | ||||||||
\(689\) | 1.37905 | + | 16.4115i | 0.0525375 | + | 0.625230i | ||||
\(690\) | 6.46938 | 0.246285 | ||||||||
\(691\) | 11.8961 | − | 20.6047i | 0.452550 | − | 0.783839i | −0.545994 | − | 0.837789i | \(-0.683848\pi\) |
0.998544 | + | 0.0539500i | \(0.0171812\pi\) | |||||||
\(692\) | 0.453377 | − | 0.785272i | 0.0172348 | − | 0.0298515i | ||||
\(693\) | 0.776083 | + | 1.34421i | 0.0294809 | + | 0.0510625i | ||||
\(694\) | 16.4105 | 0.622933 | ||||||||
\(695\) | −3.86507 | − | 6.69449i | −0.146610 | − | 0.253937i | ||||
\(696\) | −2.67902 | − | 4.64020i | −0.101548 | − | 0.175886i | ||||
\(697\) | −5.20502 | −0.197154 | ||||||||
\(698\) | −41.5769 | − | 72.0134i | −1.57371 | − | 2.72575i | ||||
\(699\) | −14.0240 | + | 24.2903i | −0.530436 | + | 0.918742i | ||||
\(700\) | −12.2698 | + | 21.2519i | −0.463755 | + | 0.803247i | ||||
\(701\) | 29.7796 | 1.12476 | 0.562380 | − | 0.826879i | \(-0.309886\pi\) | ||||
0.562380 | + | 0.826879i | \(0.309886\pi\) | |||||||
\(702\) | −50.4963 | − | 23.7583i | −1.90586 | − | 0.896699i | ||||
\(703\) | −44.3658 | −1.67329 | ||||||||
\(704\) | 21.8069 | − | 37.7706i | 0.821878 | − | 1.42353i | ||||
\(705\) | 2.96273 | − | 5.13160i | 0.111583 | − | 0.193267i | ||||
\(706\) | −39.2061 | − | 67.9069i | −1.47554 | − | 2.55571i | ||||
\(707\) | 7.49361 | 0.281826 | ||||||||
\(708\) | 41.3281 | + | 71.5824i | 1.55321 | + | 2.69023i | ||||
\(709\) | −5.96518 | − | 10.3320i | −0.224027 | − | 0.388026i | 0.732000 | − | 0.681305i | \(-0.238587\pi\) |
−0.956027 | + | 0.293278i | \(0.905254\pi\) | |||||||
\(710\) | 9.78155 | 0.367095 | ||||||||
\(711\) | −5.18925 | − | 8.98805i | −0.194612 | − | 0.337078i | ||||
\(712\) | −8.48001 | + | 14.6878i | −0.317802 | + | 0.550449i | ||||
\(713\) | −3.23469 | + | 5.60265i | −0.121140 | + | 0.209821i | ||||
\(714\) | −15.5207 | −0.580846 | ||||||||
\(715\) | 3.29982 | + | 1.55255i | 0.123406 | + | 0.0580621i | ||||
\(716\) | 4.23788 | 0.158377 | ||||||||
\(717\) | −4.26821 | + | 7.39275i | −0.159399 | + | 0.276087i | ||||
\(718\) | 32.1553 | − | 55.6946i | 1.20002 | − | 2.07850i | ||||
\(719\) | −16.1819 | − | 28.0279i | −0.603484 | − | 1.04526i | −0.992289 | − | 0.123945i | \(-0.960446\pi\) |
0.388805 | − | 0.921320i | \(-0.372888\pi\) | |||||||
\(720\) | −12.9556 | −0.482827 | ||||||||
\(721\) | 1.40424 | + | 2.43221i | 0.0522966 | + | 0.0905804i | ||||
\(722\) | 46.3182 | + | 80.2255i | 1.72379 | + | 2.98568i | ||||
\(723\) | −16.5749 | −0.616428 | ||||||||
\(724\) | 27.3513 | + | 47.3738i | 1.01650 | + | 1.76063i | ||||
\(725\) | −0.907137 | + | 1.57121i | −0.0336902 | + | 0.0583532i | ||||
\(726\) | −17.0916 | + | 29.6036i | −0.634330 | + | 1.09869i | ||||
\(727\) | −31.4897 | −1.16789 | −0.583943 | − | 0.811794i | \(-0.698491\pi\) | ||||
−0.583943 | + | 0.811794i | \(0.698491\pi\) | |||||||
\(728\) | 28.5130 | − | 19.8194i | 1.05676 | − | 0.734556i | ||||
\(729\) | 28.0042 | 1.03719 | ||||||||
\(730\) | 6.16507 | − | 10.6782i | 0.228179 | − | 0.395218i | ||||
\(731\) | −3.61162 | + | 6.25551i | −0.133581 | + | 0.231369i | ||||
\(732\) | −24.5501 | − | 42.5221i | −0.907399 | − | 1.57166i | ||||
\(733\) | 2.66224 | 0.0983321 | 0.0491661 | − | 0.998791i | \(-0.484344\pi\) | ||||
0.0491661 | + | 0.998791i | \(0.484344\pi\) | |||||||
\(734\) | 50.0517 | + | 86.6921i | 1.84744 | + | 3.19986i | ||||
\(735\) | −0.505722 | − | 0.875935i | −0.0186538 | − | 0.0323094i | ||||
\(736\) | 53.3755 | 1.96745 | ||||||||
\(737\) | −9.38973 | − | 16.2635i | −0.345875 | − | 0.599073i | ||||
\(738\) | −1.95553 | + | 3.38708i | −0.0719840 | + | 0.124680i | ||||
\(739\) | 17.7914 | − | 30.8156i | 0.654467 | − | 1.13357i | −0.327560 | − | 0.944830i | \(-0.606226\pi\) |
0.982027 | − | 0.188739i | \(-0.0604402\pi\) | |||||||
\(740\) | −24.9486 | −0.917128 | ||||||||
\(741\) | 2.99397 | + | 35.6302i | 0.109986 | + | 1.30891i | ||||
\(742\) | 12.5207 | 0.459648 | ||||||||
\(743\) | −12.1203 | + | 20.9929i | −0.444650 | + | 0.770156i | −0.998028 | − | 0.0627740i | \(-0.980005\pi\) |
0.553378 | + | 0.832930i | \(0.313339\pi\) | |||||||
\(744\) | −18.2211 | + | 31.5599i | −0.668018 | + | 1.15704i | ||||
\(745\) | −3.02522 | − | 5.23983i | −0.110835 | − | 0.191973i | ||||
\(746\) | 35.7706 | 1.30966 | ||||||||
\(747\) | 6.67393 | + | 11.5596i | 0.244186 | + | 0.422943i | ||||
\(748\) | −15.6095 | − | 27.0364i | −0.570739 | − | 0.988549i | ||||
\(749\) | −1.48647 | −0.0543144 | ||||||||
\(750\) | −13.1009 | − | 22.6915i | −0.478378 | − | 0.828575i | ||||
\(751\) | 14.5705 | − | 25.2368i | 0.531684 | − | 0.920904i | −0.467632 | − | 0.883923i | \(-0.654893\pi\) |
0.999316 | − | 0.0369807i | \(-0.0117740\pi\) | |||||||
\(752\) | 45.0277 | − | 77.9903i | 1.64199 | − | 2.84401i | ||||
\(753\) | −8.61799 | −0.314057 | ||||||||
\(754\) | 3.30799 | − | 2.29939i | 0.120470 | − | 0.0837388i | ||||
\(755\) | −1.82446 | −0.0663988 | ||||||||
\(756\) | −15.5664 | + | 26.9618i | −0.566145 | + | 0.980592i | ||||
\(757\) | 2.49495 | − | 4.32138i | 0.0906805 | − | 0.157063i | −0.817117 | − | 0.576472i | \(-0.804429\pi\) |
0.907798 | + | 0.419408i | \(0.137762\pi\) | |||||||
\(758\) | 41.9436 | + | 72.6485i | 1.52346 | + | 2.63871i | ||||
\(759\) | 4.34660 | 0.157772 | ||||||||
\(760\) | 25.9299 | + | 44.9119i | 0.940576 | + | 1.62913i | ||||
\(761\) | 5.91858 | + | 10.2513i | 0.214548 | + | 0.371609i | 0.953133 | − | 0.302552i | \(-0.0978387\pi\) |
−0.738584 | + | 0.674161i | \(0.764505\pi\) | |||||||
\(762\) | −20.3160 | −0.735971 | ||||||||
\(763\) | 1.43561 | + | 2.48654i | 0.0519724 | + | 0.0900189i | ||||
\(764\) | −27.2835 | + | 47.2564i | −0.987083 | + | 1.70968i | ||||
\(765\) | −1.74828 | + | 3.02812i | −0.0632094 | + | 0.109482i | ||||
\(766\) | 13.3929 | 0.483904 | ||||||||
\(767\) | −32.5198 | + | 22.6045i | −1.17422 | + | 0.816202i | ||||
\(768\) | 69.3186 | 2.50132 | ||||||||
\(769\) | 17.9092 | − | 31.0196i | 0.645821 | − | 1.11859i | −0.338291 | − | 0.941042i | \(-0.609849\pi\) |
0.984111 | − | 0.177553i | \(-0.0568180\pi\) | |||||||
\(770\) | 1.38622 | − | 2.40101i | 0.0499561 | − | 0.0865264i |